From 13fc6703862862f4263d8d5d085b7a16b87190e1 Mon Sep 17 00:00:00 2001 From: Lorenz Meier Date: Sun, 28 Apr 2013 09:54:11 +0200 Subject: Moved last libs, drivers and headers, cleaned up IO build --- apps/controllib/Makefile | 46 - apps/controllib/block/Block.cpp | 210 - apps/controllib/block/Block.hpp | 131 - apps/controllib/block/BlockParam.cpp | 79 - apps/controllib/block/BlockParam.hpp | 90 - apps/controllib/block/List.hpp | 71 - apps/controllib/block/UOrbPublication.cpp | 39 - apps/controllib/block/UOrbPublication.hpp | 118 - apps/controllib/block/UOrbSubscription.cpp | 51 - apps/controllib/block/UOrbSubscription.hpp | 137 - apps/controllib/blocks.cpp | 486 - apps/controllib/blocks.hpp | 494 - apps/controllib/fixedwing.cpp | 361 - apps/controllib/fixedwing.hpp | 342 - apps/controllib/test_params.c | 22 - apps/drivers/device/Makefile | 38 - apps/drivers/device/cdev.cpp | 398 - apps/drivers/device/device.cpp | 227 - apps/drivers/device/device.h | 447 - apps/drivers/device/i2c.cpp | 204 - apps/drivers/device/i2c.h | 138 - apps/drivers/device/pio.cpp | 74 - apps/drivers/device/spi.cpp | 160 - apps/drivers/device/spi.h | 114 - apps/drivers/drv_accel.h | 121 - apps/drivers/drv_adc.h | 52 - apps/drivers/drv_baro.h | 78 - apps/drivers/drv_blinkm.h | 69 - apps/drivers/drv_gpio.h | 148 - apps/drivers/drv_gps.h | 70 - apps/drivers/drv_gyro.h | 117 - apps/drivers/drv_hrt.h | 149 - apps/drivers/drv_led.h | 65 - apps/drivers/drv_mag.h | 114 - apps/drivers/drv_mixer.h | 118 - apps/drivers/drv_orb_dev.h | 87 - apps/drivers/drv_pwm_output.h | 201 - apps/drivers/drv_range_finder.h | 81 - apps/drivers/drv_rc_input.h | 110 - apps/drivers/drv_sensor.h | 87 - apps/drivers/drv_tone_alarm.h | 128 - apps/drivers/led/Makefile | 38 - apps/drivers/led/led.cpp | 115 - apps/examples/math_demo/Makefile | 42 - apps/examples/math_demo/math_demo.cpp | 105 - .../Source/BasicMathFunctions/arm_abs_f32.c | 159 - .../Source/BasicMathFunctions/arm_abs_q15.c | 173 - .../Source/BasicMathFunctions/arm_abs_q31.c | 125 - .../DSP_Lib/Source/BasicMathFunctions/arm_abs_q7.c | 152 - .../Source/BasicMathFunctions/arm_add_f32.c | 145 - .../Source/BasicMathFunctions/arm_add_q15.c | 135 - .../Source/BasicMathFunctions/arm_add_q31.c | 143 - .../DSP_Lib/Source/BasicMathFunctions/arm_add_q7.c | 129 - .../Source/BasicMathFunctions/arm_dot_prod_f32.c | 125 - .../Source/BasicMathFunctions/arm_dot_prod_q15.c | 135 - .../Source/BasicMathFunctions/arm_dot_prod_q31.c | 138 - .../Source/BasicMathFunctions/arm_dot_prod_q7.c | 154 - .../Source/BasicMathFunctions/arm_mult_f32.c | 172 - .../Source/BasicMathFunctions/arm_mult_q15.c | 152 - .../Source/BasicMathFunctions/arm_mult_q31.c | 143 - .../Source/BasicMathFunctions/arm_mult_q7.c | 128 - .../Source/BasicMathFunctions/arm_negate_f32.c | 137 - .../Source/BasicMathFunctions/arm_negate_q15.c | 137 - .../Source/BasicMathFunctions/arm_negate_q31.c | 124 - .../Source/BasicMathFunctions/arm_negate_q7.c | 120 - 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.../ComplexMathFunctions/arm_cmplx_conj_q31.c | 172 - .../ComplexMathFunctions/arm_cmplx_dot_prod_f32.c | 160 - .../ComplexMathFunctions/arm_cmplx_dot_prod_q15.c | 144 - .../ComplexMathFunctions/arm_cmplx_dot_prod_q31.c | 145 - .../ComplexMathFunctions/arm_cmplx_mag_f32.c | 157 - .../ComplexMathFunctions/arm_cmplx_mag_q15.c | 145 - .../ComplexMathFunctions/arm_cmplx_mag_q31.c | 177 - .../arm_cmplx_mag_squared_f32.c | 207 - .../arm_cmplx_mag_squared_q15.c | 140 - .../arm_cmplx_mag_squared_q31.c | 153 - .../arm_cmplx_mult_cmplx_f32.c | 199 - .../arm_cmplx_mult_cmplx_q15.c | 185 - .../arm_cmplx_mult_cmplx_q31.c | 318 - .../ComplexMathFunctions/arm_cmplx_mult_real_f32.c | 217 - .../ComplexMathFunctions/arm_cmplx_mult_real_q15.c | 195 - .../ComplexMathFunctions/arm_cmplx_mult_real_q31.c | 215 - .../Source/ControllerFunctions/arm_pid_init_f32.c | 79 - .../Source/ControllerFunctions/arm_pid_init_q15.c | 114 - .../Source/ControllerFunctions/arm_pid_init_q31.c | 99 - 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| 440 - .../FilteringFunctions/arm_iir_lattice_init_f32.c | 86 - .../FilteringFunctions/arm_iir_lattice_init_q15.c | 86 - .../FilteringFunctions/arm_iir_lattice_init_q31.c | 86 - .../FilteringFunctions/arm_iir_lattice_q15.c | 457 - .../FilteringFunctions/arm_iir_lattice_q31.c | 345 - .../Source/FilteringFunctions/arm_lms_f32.c | 434 - .../Source/FilteringFunctions/arm_lms_init_f32.c | 90 - .../Source/FilteringFunctions/arm_lms_init_q15.c | 100 - .../Source/FilteringFunctions/arm_lms_init_q31.c | 100 - .../Source/FilteringFunctions/arm_lms_norm_f32.c | 456 - .../FilteringFunctions/arm_lms_norm_init_f32.c | 100 - .../FilteringFunctions/arm_lms_norm_init_q15.c | 107 - .../FilteringFunctions/arm_lms_norm_init_q31.c | 106 - .../Source/FilteringFunctions/arm_lms_norm_q15.c | 435 - .../Source/FilteringFunctions/arm_lms_norm_q31.c | 426 - .../Source/FilteringFunctions/arm_lms_q15.c | 374 - .../Source/FilteringFunctions/arm_lms_q31.c | 364 - .../Source/MatrixFunctions/arm_mat_add_f32.c | 206 - 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All rights reserved. -# -# Redistribution and use in source and binary forms, with or without -# modification, are permitted provided that the following conditions -# are met: -# -# 1. Redistributions of source code must retain the above copyright -# notice, this list of conditions and the following disclaimer. -# 2. Redistributions in binary form must reproduce the above copyright -# notice, this list of conditions and the following disclaimer in -# the documentation and/or other materials provided with the -# distribution. -# 3. Neither the name PX4 nor the names of its contributors may be -# used to endorse or promote products derived from this software -# without specific prior written permission. -# -# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -# "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -# LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -# FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -# COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -# INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -# BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS -# OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED -# AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -# LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -# ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -# POSSIBILITY OF SUCH DAMAGE. -# -############################################################################ - -# -# Control library -# -CSRCS = test_params.c - -CXXSRCS = block/Block.cpp \ - block/BlockParam.cpp \ - block/UOrbPublication.cpp \ - block/UOrbSubscription.cpp \ - blocks.cpp \ - fixedwing.cpp - -include $(APPDIR)/mk/app.mk diff --git a/apps/controllib/block/Block.cpp b/apps/controllib/block/Block.cpp deleted file mode 100644 index 5994d2315..000000000 --- a/apps/controllib/block/Block.cpp +++ /dev/null @@ -1,210 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -/** - * @file Block.cpp - * - * Controller library code - */ - -#include -#include -#include - -#include "Block.hpp" -#include "BlockParam.hpp" -#include "UOrbSubscription.hpp" -#include "UOrbPublication.hpp" - -namespace control -{ - -Block::Block(SuperBlock *parent, const char *name) : - _name(name), - _parent(parent), - _dt(0), - _subscriptions(), - _params() -{ - if (getParent() != NULL) { - getParent()->getChildren().add(this); - } -} - -void Block::getName(char *buf, size_t n) -{ - if (getParent() == NULL) { - strncpy(buf, _name, n); - - } else { - char parentName[blockNameLengthMax]; - getParent()->getName(parentName, n); - - if (!strcmp(_name, "")) { - strncpy(buf, parentName, blockNameLengthMax); - - } else { - snprintf(buf, blockNameLengthMax, "%s_%s", parentName, _name); - } - } -} - -void Block::updateParams() -{ - BlockParamBase *param = getParams().getHead(); - int count = 0; - - while (param != NULL) { - if (count++ > maxParamsPerBlock) { - char name[blockNameLengthMax]; - getName(name, blockNameLengthMax); - printf("exceeded max params for block: %s\n", name); - break; - } - - //printf("updating param: %s\n", param->getName()); - param->update(); - param = param->getSibling(); - } -} - -void Block::updateSubscriptions() -{ - UOrbSubscriptionBase *sub = getSubscriptions().getHead(); - int count = 0; - - while (sub != NULL) { - if (count++ > maxSubscriptionsPerBlock) { - char name[blockNameLengthMax]; - getName(name, blockNameLengthMax); - printf("exceeded max subscriptions for block: %s\n", name); - break; - } - - sub->update(); - sub = sub->getSibling(); - } -} - -void Block::updatePublications() -{ - UOrbPublicationBase *pub = getPublications().getHead(); - int count = 0; - - while (pub != NULL) { - if (count++ > maxPublicationsPerBlock) { - char name[blockNameLengthMax]; - getName(name, blockNameLengthMax); - printf("exceeded max publications for block: %s\n", name); - break; - } - - pub->update(); - pub = pub->getSibling(); - } -} - -void SuperBlock::setDt(float dt) -{ - Block::setDt(dt); - Block *child = getChildren().getHead(); - int count = 0; - - while (child != NULL) { - if (count++ > maxChildrenPerBlock) { - char name[40]; - getName(name, 40); - printf("exceeded max children for block: %s\n", name); - break; - } - - child->setDt(dt); - child = child->getSibling(); - } -} - -void SuperBlock::updateChildParams() -{ - Block *child = getChildren().getHead(); - int count = 0; - - while (child != NULL) { - if (count++ > maxChildrenPerBlock) { - char name[40]; - getName(name, 40); - printf("exceeded max children for block: %s\n", name); - break; - } - - child->updateParams(); - child = child->getSibling(); - } -} - -void SuperBlock::updateChildSubscriptions() -{ - Block *child = getChildren().getHead(); - int count = 0; - - while (child != NULL) { - if (count++ > maxChildrenPerBlock) { - char name[40]; - getName(name, 40); - printf("exceeded max children for block: %s\n", name); - break; - } - - child->updateSubscriptions(); - child = child->getSibling(); - } -} - -void SuperBlock::updateChildPublications() -{ - Block *child = getChildren().getHead(); - int count = 0; - - while (child != NULL) { - if (count++ > maxChildrenPerBlock) { - char name[40]; - getName(name, 40); - printf("exceeded max children for block: %s\n", name); - break; - } - - child->updatePublications(); - child = child->getSibling(); - } -} - -} // namespace control diff --git a/apps/controllib/block/Block.hpp b/apps/controllib/block/Block.hpp deleted file mode 100644 index 258701f27..000000000 --- a/apps/controllib/block/Block.hpp +++ /dev/null @@ -1,131 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -/** - * @file Block.h - * - * Controller library code - */ - -#pragma once - -#include -#include - -#include "List.hpp" - -namespace control -{ - -static const uint16_t maxChildrenPerBlock = 100; -static const uint16_t maxParamsPerBlock = 100; -static const uint16_t maxSubscriptionsPerBlock = 100; -static const uint16_t maxPublicationsPerBlock = 100; -static const uint8_t blockNameLengthMax = 80; - -// forward declaration -class BlockParamBase; -class UOrbSubscriptionBase; -class UOrbPublicationBase; -class SuperBlock; - -/** - */ -class __EXPORT Block : - public ListNode -{ -public: - friend class BlockParamBase; -// methods - Block(SuperBlock *parent, const char *name); - void getName(char *name, size_t n); - virtual ~Block() {}; - virtual void updateParams(); - virtual void updateSubscriptions(); - virtual void updatePublications(); - virtual void setDt(float dt) { _dt = dt; } -// accessors - float getDt() { return _dt; } -protected: -// accessors - SuperBlock *getParent() { return _parent; } - List & getSubscriptions() { return _subscriptions; } - List & getPublications() { return _publications; } - List & getParams() { return _params; } -// attributes - const char *_name; - SuperBlock *_parent; - float _dt; - List _subscriptions; - List _publications; - List _params; -}; - -class __EXPORT SuperBlock : - public Block -{ -public: - friend class Block; -// methods - SuperBlock(SuperBlock *parent, const char *name) : - Block(parent, name), - _children() { - } - virtual ~SuperBlock() {}; - virtual void setDt(float dt); - virtual void updateParams() { - Block::updateParams(); - - if (getChildren().getHead() != NULL) updateChildParams(); - } - virtual void updateSubscriptions() { - Block::updateSubscriptions(); - - if (getChildren().getHead() != NULL) updateChildSubscriptions(); - } - virtual void updatePublications() { - Block::updatePublications(); - - if (getChildren().getHead() != NULL) updateChildPublications(); - } -protected: -// methods - List & getChildren() { return _children; } - void updateChildParams(); - void updateChildSubscriptions(); - void updateChildPublications(); -// attributes - List _children; -}; - -} // namespace control diff --git a/apps/controllib/block/BlockParam.cpp b/apps/controllib/block/BlockParam.cpp deleted file mode 100644 index fd12e365d..000000000 --- a/apps/controllib/block/BlockParam.cpp +++ /dev/null @@ -1,79 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -/** - * @file Blockparam.cpp - * - * Controller library code - */ - -#include -#include -#include - -#include "BlockParam.hpp" - -namespace control -{ - -BlockParamBase::BlockParamBase(Block *parent, const char *name, bool parent_prefix) : - _handle(PARAM_INVALID) -{ - char fullname[blockNameLengthMax]; - - if (parent == NULL) { - strncpy(fullname, name, blockNameLengthMax); - - } else { - char parentName[blockNameLengthMax]; - parent->getName(parentName, blockNameLengthMax); - - if (!strcmp(name, "")) { - strncpy(fullname, parentName, blockNameLengthMax); - - } else if (parent_prefix) { - snprintf(fullname, blockNameLengthMax, "%s_%s", parentName, name); - } else { - strncpy(fullname, name, blockNameLengthMax); - } - - parent->getParams().add(this); - } - - _handle = param_find(fullname); - - if (_handle == PARAM_INVALID) - printf("error finding param: %s\n", fullname); -}; - -} // namespace control diff --git a/apps/controllib/block/BlockParam.hpp b/apps/controllib/block/BlockParam.hpp deleted file mode 100644 index 58a9bfc0d..000000000 --- a/apps/controllib/block/BlockParam.hpp +++ /dev/null @@ -1,90 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -/** - * @file BlockParam.h - * - * Controller library code - */ - -#pragma once - -#include - -#include "Block.hpp" -#include "List.hpp" - -namespace control -{ - -/** - * A base class for block params that enables traversing linked list. - */ -class __EXPORT BlockParamBase : public ListNode -{ -public: - /** - * Instantiate a block param base. - * - * @param parent_prefix Set to true to include the parent name in the parameter name - */ - BlockParamBase(Block *parent, const char *name, bool parent_prefix=true); - virtual ~BlockParamBase() {}; - virtual void update() = 0; - const char *getName() { return param_name(_handle); } -protected: - param_t _handle; -}; - -/** - * Parameters that are tied to blocks for updating and nameing. - */ -template -class __EXPORT BlockParam : public BlockParamBase -{ -public: - BlockParam(Block *block, const char *name, bool parent_prefix=true) : - BlockParamBase(block, name, parent_prefix), - _val() { - update(); - } - T get() { return _val; } - void set(T val) { _val = val; } - void update() { - if (_handle != PARAM_INVALID) param_get(_handle, &_val); - } -protected: - T _val; -}; - -} // namespace control diff --git a/apps/controllib/block/List.hpp b/apps/controllib/block/List.hpp deleted file mode 100644 index 96b0b94d1..000000000 --- a/apps/controllib/block/List.hpp +++ /dev/null @@ -1,71 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -/** - * @file Node.h - * - * A node of a linked list. - */ - -#pragma once - -template -class __EXPORT ListNode -{ -public: - ListNode() : _sibling(NULL) { - } - void setSibling(T sibling) { _sibling = sibling; } - T getSibling() { return _sibling; } - T get() { - return _sibling; - } -protected: - T _sibling; -}; - -template -class __EXPORT List -{ -public: - List() : _head() { - } - void add(T newNode) { - newNode->setSibling(getHead()); - setHead(newNode); - } - T getHead() { return _head; } -private: - void setHead(T &head) { _head = head; } - T _head; -}; diff --git a/apps/controllib/block/UOrbPublication.cpp b/apps/controllib/block/UOrbPublication.cpp deleted file mode 100644 index f69b39d90..000000000 --- a/apps/controllib/block/UOrbPublication.cpp +++ /dev/null @@ -1,39 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -/** - * @file UOrbPublication.cpp - * - */ - -#include "UOrbPublication.hpp" diff --git a/apps/controllib/block/UOrbPublication.hpp b/apps/controllib/block/UOrbPublication.hpp deleted file mode 100644 index a36f4429f..000000000 --- a/apps/controllib/block/UOrbPublication.hpp +++ /dev/null @@ -1,118 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -/** - * @file UOrbPublication.h - * - */ - -#pragma once - -#include -#include "Block.hpp" -#include "List.hpp" - - -namespace control -{ - -class Block; - -/** - * Base publication warapper class, used in list traversal - * of various publications. - */ -class __EXPORT UOrbPublicationBase : public ListNode -{ -public: - - UOrbPublicationBase( - List * list, - const struct orb_metadata *meta) : - _meta(meta), - _handle() { - if (list != NULL) list->add(this); - } - void update() { - orb_publish(getMeta(), getHandle(), getDataVoidPtr()); - } - virtual void *getDataVoidPtr() = 0; - virtual ~UOrbPublicationBase() { - orb_unsubscribe(getHandle()); - } - const struct orb_metadata *getMeta() { return _meta; } - int getHandle() { return _handle; } -protected: - void setHandle(orb_advert_t handle) { _handle = handle; } - const struct orb_metadata *_meta; - orb_advert_t _handle; -}; - -/** - * UOrb Publication wrapper class - */ -template -class UOrbPublication : - public T, // this must be first! - public UOrbPublicationBase -{ -public: - /** - * Constructor - * - * @param list A list interface for adding to list during construction - * @param meta The uORB metadata (usually from the ORB_ID() macro) - * for the topic. - */ - UOrbPublication( - List * list, - const struct orb_metadata *meta) : - T(), // initialize data structure to zero - UOrbPublicationBase(list, meta) { - // It is important that we call T() - // before we publish the data, so we - // call this here instead of the base class - setHandle(orb_advertise(getMeta(), getDataVoidPtr())); - } - virtual ~UOrbPublication() {} - /* - * XXX - * This function gets the T struct, assuming - * the struct is the first base class, this - * should use dynamic cast, but doesn't - * seem to be available - */ - void *getDataVoidPtr() { return (void *)(T *)(this); } -}; - -} // namespace control diff --git a/apps/controllib/block/UOrbSubscription.cpp b/apps/controllib/block/UOrbSubscription.cpp deleted file mode 100644 index 022cadd24..000000000 --- a/apps/controllib/block/UOrbSubscription.cpp +++ /dev/null @@ -1,51 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -/** - * @file UOrbSubscription.cpp - * - */ - -#include "UOrbSubscription.hpp" - -namespace control -{ - -bool __EXPORT UOrbSubscriptionBase::updated() -{ - bool isUpdated = false; - orb_check(_handle, &isUpdated); - return isUpdated; -} - -} // namespace control diff --git a/apps/controllib/block/UOrbSubscription.hpp b/apps/controllib/block/UOrbSubscription.hpp deleted file mode 100644 index 22cc2e114..000000000 --- a/apps/controllib/block/UOrbSubscription.hpp +++ /dev/null @@ -1,137 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -/** - * @file UOrbSubscription.h - * - */ - -#pragma once - -#include -#include "Block.hpp" -#include "List.hpp" - - -namespace control -{ - -class Block; - -/** - * Base subscription warapper class, used in list traversal - * of various subscriptions. - */ -class __EXPORT UOrbSubscriptionBase : - public ListNode -{ -public: -// methods - - /** - * Constructor - * - * @param meta The uORB metadata (usually from the ORB_ID() macro) - * for the topic. - */ - UOrbSubscriptionBase( - List * list, - const struct orb_metadata *meta) : - _meta(meta), - _handle() { - if (list != NULL) list->add(this); - } - bool updated(); - void update() { - if (updated()) { - orb_copy(_meta, _handle, getDataVoidPtr()); - } - } - virtual void *getDataVoidPtr() = 0; - virtual ~UOrbSubscriptionBase() { - orb_unsubscribe(_handle); - } -// accessors - const struct orb_metadata *getMeta() { return _meta; } - int getHandle() { return _handle; } -protected: -// accessors - void setHandle(int handle) { _handle = handle; } -// attributes - const struct orb_metadata *_meta; - int _handle; -}; - -/** - * UOrb Subscription wrapper class - */ -template -class __EXPORT UOrbSubscription : - public T, // this must be first! - public UOrbSubscriptionBase -{ -public: - /** - * Constructor - * - * @param list A list interface for adding to list during construction - * @param meta The uORB metadata (usually from the ORB_ID() macro) - * for the topic. - * @param interval The minimum interval in milliseconds between updates - */ - UOrbSubscription( - List * list, - const struct orb_metadata *meta, unsigned interval) : - T(), // initialize data structure to zero - UOrbSubscriptionBase(list, meta) { - setHandle(orb_subscribe(getMeta())); - orb_set_interval(getHandle(), interval); - } - - /** - * Deconstructor - */ - virtual ~UOrbSubscription() {} - - /* - * XXX - * This function gets the T struct, assuming - * the struct is the first base class, this - * should use dynamic cast, but doesn't - * seem to be available - */ - void *getDataVoidPtr() { return (void *)(T *)(this); } - T getData() { return T(*this); } -}; - -} // namespace control diff --git a/apps/controllib/blocks.cpp b/apps/controllib/blocks.cpp deleted file mode 100644 index c6c374300..000000000 --- a/apps/controllib/blocks.cpp +++ /dev/null @@ -1,486 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -/** - * @file blocks.cpp - * - * Controller library code - */ - -#include -#include - -#include "blocks.hpp" - -namespace control -{ - -int basicBlocksTest() -{ - blockLimitTest(); - blockLimitSymTest(); - blockLowPassTest(); - blockHighPassTest(); - blockIntegralTest(); - blockIntegralTrapTest(); - blockDerivativeTest(); - blockPTest(); - blockPITest(); - blockPDTest(); - blockPIDTest(); - blockOutputTest(); - blockRandUniformTest(); - blockRandGaussTest(); - return 0; -} - -float BlockLimit::update(float input) -{ - if (input > getMax()) { - input = _max.get(); - - } else if (input < getMin()) { - input = getMin(); - } - - return input; -} - -int blockLimitTest() -{ - printf("Test BlockLimit\t\t\t: "); - BlockLimit limit(NULL, "TEST"); - // initial state - ASSERT(equal(1.0f, limit.getMax())); - ASSERT(equal(-1.0f, limit.getMin())); - ASSERT(equal(0.0f, limit.getDt())); - // update - ASSERT(equal(-1.0f, limit.update(-2.0f))); - ASSERT(equal(1.0f, limit.update(2.0f))); - ASSERT(equal(0.0f, limit.update(0.0f))); - printf("PASS\n"); - return 0; -} - -float BlockLimitSym::update(float input) -{ - if (input > getMax()) { - input = _max.get(); - - } else if (input < -getMax()) { - input = -getMax(); - } - - return input; -} - -int blockLimitSymTest() -{ - printf("Test BlockLimitSym\t\t: "); - BlockLimitSym limit(NULL, "TEST"); - // initial state - ASSERT(equal(1.0f, limit.getMax())); - ASSERT(equal(0.0f, limit.getDt())); - // update - ASSERT(equal(-1.0f, limit.update(-2.0f))); - ASSERT(equal(1.0f, limit.update(2.0f))); - ASSERT(equal(0.0f, limit.update(0.0f))); - printf("PASS\n"); - return 0; -} - -float BlockLowPass::update(float input) -{ - float b = 2 * float(M_PI) * getFCut() * getDt(); - float a = b / (1 + b); - setState(a * input + (1 - a)*getState()); - return getState(); -} - -int blockLowPassTest() -{ - printf("Test BlockLowPass\t\t: "); - BlockLowPass lowPass(NULL, "TEST_LP"); - // test initial state - ASSERT(equal(10.0f, lowPass.getFCut())); - ASSERT(equal(0.0f, lowPass.getState())); - ASSERT(equal(0.0f, lowPass.getDt())); - // set dt - lowPass.setDt(0.1f); - ASSERT(equal(0.1f, lowPass.getDt())); - // set state - lowPass.setState(1.0f); - ASSERT(equal(1.0f, lowPass.getState())); - // test update - ASSERT(equal(1.8626974f, lowPass.update(2.0f))); - - // test end condition - for (int i = 0; i < 100; i++) { - lowPass.update(2.0f); - } - - ASSERT(equal(2.0f, lowPass.getState())); - ASSERT(equal(2.0f, lowPass.update(2.0f))); - printf("PASS\n"); - return 0; -}; - -float BlockHighPass::update(float input) -{ - float b = 2 * float(M_PI) * getFCut() * getDt(); - float a = 1 / (1 + b); - setY(a * (getY() + input - getU())); - setU(input); - return getY(); -} - -int blockHighPassTest() -{ - printf("Test BlockHighPass\t\t: "); - BlockHighPass highPass(NULL, "TEST_HP"); - // test initial state - ASSERT(equal(10.0f, highPass.getFCut())); - ASSERT(equal(0.0f, highPass.getU())); - ASSERT(equal(0.0f, highPass.getY())); - ASSERT(equal(0.0f, highPass.getDt())); - // set dt - highPass.setDt(0.1f); - ASSERT(equal(0.1f, highPass.getDt())); - // set state - highPass.setU(1.0f); - ASSERT(equal(1.0f, highPass.getU())); - highPass.setY(1.0f); - ASSERT(equal(1.0f, highPass.getY())); - // test update - ASSERT(equal(0.2746051f, highPass.update(2.0f))); - - // test end condition - for (int i = 0; i < 100; i++) { - highPass.update(2.0f); - } - - ASSERT(equal(0.0f, highPass.getY())); - ASSERT(equal(0.0f, highPass.update(2.0f))); - printf("PASS\n"); - return 0; -} - -float BlockIntegral::update(float input) -{ - // trapezoidal integration - setY(_limit.update(getY() + input * getDt())); - return getY(); -} - -int blockIntegralTest() -{ - printf("Test BlockIntegral\t\t: "); - BlockIntegral integral(NULL, "TEST_I"); - // test initial state - ASSERT(equal(1.0f, integral.getMax())); - ASSERT(equal(0.0f, integral.getDt())); - // set dt - integral.setDt(0.1f); - ASSERT(equal(0.1f, integral.getDt())); - // set Y - integral.setY(0.9f); - ASSERT(equal(0.9f, integral.getY())); - - // test exceed max - for (int i = 0; i < 100; i++) { - integral.update(1.0f); - } - - ASSERT(equal(1.0f, integral.update(1.0f))); - // test exceed min - integral.setY(-0.9f); - ASSERT(equal(-0.9f, integral.getY())); - - for (int i = 0; i < 100; i++) { - integral.update(-1.0f); - } - - ASSERT(equal(-1.0f, integral.update(-1.0f))); - // test update - integral.setY(0.1f); - ASSERT(equal(0.2f, integral.update(1.0))); - ASSERT(equal(0.2f, integral.getY())); - printf("PASS\n"); - return 0; -} - -float BlockIntegralTrap::update(float input) -{ - // trapezoidal integration - setY(_limit.update(getY() + - (getU() + input) / 2.0f * getDt())); - setU(input); - return getY(); -} - -int blockIntegralTrapTest() -{ - printf("Test BlockIntegralTrap\t\t: "); - BlockIntegralTrap integral(NULL, "TEST_I"); - // test initial state - ASSERT(equal(1.0f, integral.getMax())); - ASSERT(equal(0.0f, integral.getDt())); - // set dt - integral.setDt(0.1f); - ASSERT(equal(0.1f, integral.getDt())); - // set U - integral.setU(1.0f); - ASSERT(equal(1.0f, integral.getU())); - // set Y - integral.setY(0.9f); - ASSERT(equal(0.9f, integral.getY())); - - // test exceed max - for (int i = 0; i < 100; i++) { - integral.update(1.0f); - } - - ASSERT(equal(1.0f, integral.update(1.0f))); - // test exceed min - integral.setU(-1.0f); - integral.setY(-0.9f); - ASSERT(equal(-0.9f, integral.getY())); - - for (int i = 0; i < 100; i++) { - integral.update(-1.0f); - } - - ASSERT(equal(-1.0f, integral.update(-1.0f))); - // test update - integral.setU(2.0f); - integral.setY(0.1f); - ASSERT(equal(0.25f, integral.update(1.0))); - ASSERT(equal(0.25f, integral.getY())); - ASSERT(equal(1.0f, integral.getU())); - printf("PASS\n"); - return 0; -} - -float BlockDerivative::update(float input) -{ - float output = _lowPass.update((input - getU()) / getDt()); - setU(input); - return output; -} - -int blockDerivativeTest() -{ - printf("Test BlockDerivative\t\t: "); - BlockDerivative derivative(NULL, "TEST_D"); - // test initial state - ASSERT(equal(0.0f, derivative.getU())); - ASSERT(equal(10.0f, derivative.getLP())); - // set dt - derivative.setDt(0.1f); - ASSERT(equal(0.1f, derivative.getDt())); - // set U - derivative.setU(1.0f); - ASSERT(equal(1.0f, derivative.getU())); - // test update - ASSERT(equal(8.6269744f, derivative.update(2.0f))); - ASSERT(equal(2.0f, derivative.getU())); - printf("PASS\n"); - return 0; -} - -int blockPTest() -{ - printf("Test BlockP\t\t\t: "); - BlockP blockP(NULL, "TEST_P"); - // test initial state - ASSERT(equal(0.2f, blockP.getKP())); - ASSERT(equal(0.0f, blockP.getDt())); - // set dt - blockP.setDt(0.1f); - ASSERT(equal(0.1f, blockP.getDt())); - // test update - ASSERT(equal(0.4f, blockP.update(2.0f))); - printf("PASS\n"); - return 0; -} - -int blockPITest() -{ - printf("Test BlockPI\t\t\t: "); - BlockPI blockPI(NULL, "TEST"); - // test initial state - ASSERT(equal(0.2f, blockPI.getKP())); - ASSERT(equal(0.1f, blockPI.getKI())); - ASSERT(equal(0.0f, blockPI.getDt())); - ASSERT(equal(1.0f, blockPI.getIntegral().getMax())); - // set dt - blockPI.setDt(0.1f); - ASSERT(equal(0.1f, blockPI.getDt())); - // set integral state - blockPI.getIntegral().setY(0.1f); - ASSERT(equal(0.1f, blockPI.getIntegral().getY())); - // test update - // 0.2*2 + 0.1*(2*0.1 + 0.1) = 0.43 - ASSERT(equal(0.43f, blockPI.update(2.0f))); - printf("PASS\n"); - return 0; -} - -int blockPDTest() -{ - printf("Test BlockPD\t\t\t: "); - BlockPD blockPD(NULL, "TEST"); - // test initial state - ASSERT(equal(0.2f, blockPD.getKP())); - ASSERT(equal(0.01f, blockPD.getKD())); - ASSERT(equal(0.0f, blockPD.getDt())); - ASSERT(equal(10.0f, blockPD.getDerivative().getLP())); - // set dt - blockPD.setDt(0.1f); - ASSERT(equal(0.1f, blockPD.getDt())); - // set derivative state - blockPD.getDerivative().setU(1.0f); - ASSERT(equal(1.0f, blockPD.getDerivative().getU())); - // test update - // 0.2*2 + 0.1*(0.1*8.626...) = 0.486269744 - ASSERT(equal(0.486269744f, blockPD.update(2.0f))); - printf("PASS\n"); - return 0; -} - -int blockPIDTest() -{ - printf("Test BlockPID\t\t\t: "); - BlockPID blockPID(NULL, "TEST"); - // test initial state - ASSERT(equal(0.2f, blockPID.getKP())); - ASSERT(equal(0.1f, blockPID.getKI())); - ASSERT(equal(0.01f, blockPID.getKD())); - ASSERT(equal(0.0f, blockPID.getDt())); - ASSERT(equal(10.0f, blockPID.getDerivative().getLP())); - ASSERT(equal(1.0f, blockPID.getIntegral().getMax())); - // set dt - blockPID.setDt(0.1f); - ASSERT(equal(0.1f, blockPID.getDt())); - // set derivative state - blockPID.getDerivative().setU(1.0f); - ASSERT(equal(1.0f, blockPID.getDerivative().getU())); - // set integral state - blockPID.getIntegral().setY(0.1f); - ASSERT(equal(0.1f, blockPID.getIntegral().getY())); - // test update - // 0.2*2 + 0.1*(2*0.1 + 0.1) + 0.1*(0.1*8.626...) = 0.5162697 - ASSERT(equal(0.5162697f, blockPID.update(2.0f))); - printf("PASS\n"); - return 0; -} - -int blockOutputTest() -{ - printf("Test BlockOutput\t\t: "); - BlockOutput blockOutput(NULL, "TEST"); - // test initial state - ASSERT(equal(0.0f, blockOutput.getDt())); - ASSERT(equal(0.5f, blockOutput.get())); - ASSERT(equal(-1.0f, blockOutput.getMin())); - ASSERT(equal(1.0f, blockOutput.getMax())); - // test update below min - blockOutput.update(-2.0f); - ASSERT(equal(-1.0f, blockOutput.get())); - // test update above max - blockOutput.update(2.0f); - ASSERT(equal(1.0f, blockOutput.get())); - // test trim - blockOutput.update(0.0f); - ASSERT(equal(0.5f, blockOutput.get())); - printf("PASS\n"); - return 0; -} - -int blockRandUniformTest() -{ - srand(1234); - printf("Test BlockRandUniform\t\t: "); - BlockRandUniform blockRandUniform(NULL, "TEST"); - // test initial state - ASSERT(equal(0.0f, blockRandUniform.getDt())); - ASSERT(equal(-1.0f, blockRandUniform.getMin())); - ASSERT(equal(1.0f, blockRandUniform.getMax())); - // test update - int n = 10000; - float mean = blockRandUniform.update(); - - // recursive mean algorithm from Knuth - for (int i = 2; i < n + 1; i++) { - float val = blockRandUniform.update(); - mean += (val - mean) / i; - ASSERT(val <= blockRandUniform.getMax()); - ASSERT(val >= blockRandUniform.getMin()); - } - - ASSERT(equal(mean, (blockRandUniform.getMin() + - blockRandUniform.getMax()) / 2, 1e-1)); - printf("PASS\n"); - return 0; -} - -int blockRandGaussTest() -{ - srand(1234); - printf("Test BlockRandGauss\t\t: "); - BlockRandGauss blockRandGauss(NULL, "TEST"); - // test initial state - ASSERT(equal(0.0f, blockRandGauss.getDt())); - ASSERT(equal(1.0f, blockRandGauss.getMean())); - ASSERT(equal(2.0f, blockRandGauss.getStdDev())); - // test update - int n = 10000; - float mean = blockRandGauss.update(); - float sum = 0; - - // recursive mean, stdev algorithm from Knuth - for (int i = 2; i < n + 1; i++) { - float val = blockRandGauss.update(); - float newMean = mean + (val - mean) / i; - sum += (val - mean) * (val - newMean); - mean = newMean; - } - - float stdDev = sqrt(sum / (n - 1)); - ASSERT(equal(mean, blockRandGauss.getMean(), 1e-1)); - ASSERT(equal(stdDev, blockRandGauss.getStdDev(), 1e-1)); - printf("PASS\n"); - return 0; -} - -} // namespace control diff --git a/apps/controllib/blocks.hpp b/apps/controllib/blocks.hpp deleted file mode 100644 index 7a785d12e..000000000 --- a/apps/controllib/blocks.hpp +++ /dev/null @@ -1,494 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -/** - * @file blocks.h - * - * Controller library code - */ - -#pragma once - -#include -#include -#include -#include - -#include "block/Block.hpp" -#include "block/BlockParam.hpp" - -namespace control -{ - -int __EXPORT basicBlocksTest(); - -/** - * A limiter/ saturation. - * The output of update is the input, bounded - * by min/max. - */ -class __EXPORT BlockLimit : public Block -{ -public: -// methods - BlockLimit(SuperBlock *parent, const char *name) : - Block(parent, name), - _min(this, "MIN"), - _max(this, "MAX") - {}; - virtual ~BlockLimit() {}; - float update(float input); -// accessors - float getMin() { return _min.get(); } - float getMax() { return _max.get(); } -protected: -// attributes - BlockParam _min; - BlockParam _max; -}; - -int __EXPORT blockLimitTest(); - -/** - * A symmetric limiter/ saturation. - * Same as limiter but with only a max, is used for - * upper limit of +max, and lower limit of -max - */ -class __EXPORT BlockLimitSym : public Block -{ -public: -// methods - BlockLimitSym(SuperBlock *parent, const char *name) : - Block(parent, name), - _max(this, "MAX") - {}; - virtual ~BlockLimitSym() {}; - float update(float input); -// accessors - float getMax() { return _max.get(); } -protected: -// attributes - BlockParam _max; -}; - -int __EXPORT blockLimitSymTest(); - -/** - * A low pass filter as described here: - * http://en.wikipedia.org/wiki/Low-pass_filter. - */ -class __EXPORT BlockLowPass : public Block -{ -public: -// methods - BlockLowPass(SuperBlock *parent, const char *name) : - Block(parent, name), - _state(0), - _fCut(this, "") // only one parameter, no need to name - {}; - virtual ~BlockLowPass() {}; - float update(float input); -// accessors - float getState() { return _state; } - float getFCut() { return _fCut.get(); } - void setState(float state) { _state = state; } -protected: -// attributes - float _state; - BlockParam _fCut; -}; - -int __EXPORT blockLowPassTest(); - -/** - * A high pass filter as described here: - * http://en.wikipedia.org/wiki/High-pass_filter. - */ -class __EXPORT BlockHighPass : public Block -{ -public: -// methods - BlockHighPass(SuperBlock *parent, const char *name) : - Block(parent, name), - _u(0), - _y(0), - _fCut(this, "") // only one parameter, no need to name - {}; - virtual ~BlockHighPass() {}; - float update(float input); -// accessors - float getU() {return _u;} - float getY() {return _y;} - float getFCut() {return _fCut.get();} - void setU(float u) {_u = u;} - void setY(float y) {_y = y;} -protected: -// attributes - float _u; /**< previous input */ - float _y; /**< previous output */ - BlockParam _fCut; /**< cut-off frequency, Hz */ -}; - -int __EXPORT blockHighPassTest(); - -/** - * A rectangular integrator. - * A limiter is built into the class to bound the - * integral's internal state. This is important - * for windup protection. - * @see Limit - */ -class __EXPORT BlockIntegral: public SuperBlock -{ -public: -// methods - BlockIntegral(SuperBlock *parent, const char *name) : - SuperBlock(parent, name), - _y(0), - _limit(this, "") {}; - virtual ~BlockIntegral() {}; - float update(float input); -// accessors - float getY() {return _y;} - float getMax() {return _limit.getMax();} - void setY(float y) {_y = y;} -protected: -// attributes - float _y; /**< previous output */ - BlockLimitSym _limit; /**< limiter */ -}; - -int __EXPORT blockIntegralTest(); - -/** - * A trapezoidal integrator. - * http://en.wikipedia.org/wiki/Trapezoidal_rule - * A limiter is built into the class to bound the - * integral's internal state. This is important - * for windup protection. - * @see Limit - */ -class __EXPORT BlockIntegralTrap : public SuperBlock -{ -public: -// methods - BlockIntegralTrap(SuperBlock *parent, const char *name) : - SuperBlock(parent, name), - _u(0), - _y(0), - _limit(this, "") {}; - virtual ~BlockIntegralTrap() {}; - float update(float input); -// accessors - float getU() {return _u;} - float getY() {return _y;} - float getMax() {return _limit.getMax();} - void setU(float u) {_u = u;} - void setY(float y) {_y = y;} -protected: -// attributes - float _u; /**< previous input */ - float _y; /**< previous output */ - BlockLimitSym _limit; /**< limiter */ -}; - -int __EXPORT blockIntegralTrapTest(); - -/** - * A simple derivative approximation. - * This uses the previous and current input. - * This has a built in low pass filter. - * @see LowPass - */ -class __EXPORT BlockDerivative : public SuperBlock -{ -public: -// methods - BlockDerivative(SuperBlock *parent, const char *name) : - SuperBlock(parent, name), - _u(0), - _lowPass(this, "LP") - {}; - virtual ~BlockDerivative() {}; - float update(float input); -// accessors - void setU(float u) {_u = u;} - float getU() {return _u;} - float getLP() {return _lowPass.getFCut();} -protected: -// attributes - float _u; /**< previous input */ - BlockLowPass _lowPass; /**< low pass filter */ -}; - -int __EXPORT blockDerivativeTest(); - -/** - * A proportional controller. - * @link http://en.wikipedia.org/wiki/PID_controller - */ -class __EXPORT BlockP: public Block -{ -public: -// methods - BlockP(SuperBlock *parent, const char *name) : - Block(parent, name), - _kP(this, "") // only one param, no need to name - {}; - virtual ~BlockP() {}; - float update(float input) { - return getKP() * input; - } -// accessors - float getKP() { return _kP.get(); } -protected: - BlockParam _kP; -}; - -int __EXPORT blockPTest(); - -/** - * A proportional-integral controller. - * @link http://en.wikipedia.org/wiki/PID_controller - */ -class __EXPORT BlockPI: public SuperBlock -{ -public: -// methods - BlockPI(SuperBlock *parent, const char *name) : - SuperBlock(parent, name), - _integral(this, "I"), - _kP(this, "P"), - _kI(this, "I") - {}; - virtual ~BlockPI() {}; - float update(float input) { - return getKP() * input + - getKI() * getIntegral().update(input); - } -// accessors - float getKP() { return _kP.get(); } - float getKI() { return _kI.get(); } - BlockIntegral &getIntegral() { return _integral; } -private: - BlockIntegral _integral; - BlockParam _kP; - BlockParam _kI; -}; - -int __EXPORT blockPITest(); - -/** - * A proportional-derivative controller. - * @link http://en.wikipedia.org/wiki/PID_controller - */ -class __EXPORT BlockPD: public SuperBlock -{ -public: -// methods - BlockPD(SuperBlock *parent, const char *name) : - SuperBlock(parent, name), - _derivative(this, "D"), - _kP(this, "P"), - _kD(this, "D") - {}; - virtual ~BlockPD() {}; - float update(float input) { - return getKP() * input + - getKD() * getDerivative().update(input); - } -// accessors - float getKP() { return _kP.get(); } - float getKD() { return _kD.get(); } - BlockDerivative &getDerivative() { return _derivative; } -private: - BlockDerivative _derivative; - BlockParam _kP; - BlockParam _kD; -}; - -int __EXPORT blockPDTest(); - -/** - * A proportional-integral-derivative controller. - * @link http://en.wikipedia.org/wiki/PID_controller - */ -class __EXPORT BlockPID: public SuperBlock -{ -public: -// methods - BlockPID(SuperBlock *parent, const char *name) : - SuperBlock(parent, name), - _integral(this, "I"), - _derivative(this, "D"), - _kP(this, "P"), - _kI(this, "I"), - _kD(this, "D") - {}; - virtual ~BlockPID() {}; - float update(float input) { - return getKP() * input + - getKI() * getIntegral().update(input) + - getKD() * getDerivative().update(input); - } -// accessors - float getKP() { return _kP.get(); } - float getKI() { return _kI.get(); } - float getKD() { return _kD.get(); } - BlockIntegral &getIntegral() { return _integral; } - BlockDerivative &getDerivative() { return _derivative; } -private: -// attributes - BlockIntegral _integral; - BlockDerivative _derivative; - BlockParam _kP; - BlockParam _kI; - BlockParam _kD; -}; - -int __EXPORT blockPIDTest(); - -/** - * An output trim/ saturation block - */ -class __EXPORT BlockOutput: public SuperBlock -{ -public: -// methods - BlockOutput(SuperBlock *parent, const char *name) : - SuperBlock(parent, name), - _trim(this, "TRIM"), - _limit(this, ""), - _val(0) { - update(0); - }; - virtual ~BlockOutput() {}; - void update(float input) { - _val = _limit.update(input + getTrim()); - } -// accessors - float getMin() { return _limit.getMin(); } - float getMax() { return _limit.getMax(); } - float getTrim() { return _trim.get(); } - float get() { return _val; } -private: -// attributes - BlockParam _trim; - BlockLimit _limit; - float _val; -}; - -int __EXPORT blockOutputTest(); - -/** - * A uniform random number generator - */ -class __EXPORT BlockRandUniform: public Block -{ -public: -// methods - BlockRandUniform(SuperBlock *parent, - const char *name) : - Block(parent, name), - _min(this, "MIN"), - _max(this, "MAX") { - // seed should be initialized somewhere - // in main program for all calls to rand - // XXX currently in nuttx if you seed to 0, rand breaks - }; - virtual ~BlockRandUniform() {}; - float update() { - static float rand_max = MAX_RAND; - float rand_val = rand(); - float bounds = getMax() - getMin(); - return getMin() + (rand_val * bounds) / rand_max; - } -// accessors - float getMin() { return _min.get(); } - float getMax() { return _max.get(); } -private: -// attributes - BlockParam _min; - BlockParam _max; -}; - -int __EXPORT blockRandUniformTest(); - -class __EXPORT BlockRandGauss: public Block -{ -public: -// methods - BlockRandGauss(SuperBlock *parent, - const char *name) : - Block(parent, name), - _mean(this, "MEAN"), - _stdDev(this, "DEV") { - // seed should be initialized somewhere - // in main program for all calls to rand - // XXX currently in nuttx if you seed to 0, rand breaks - }; - virtual ~BlockRandGauss() {}; - float update() { - static float V1, V2, S; - static int phase = 0; - float X; - - if (phase == 0) { - do { - float U1 = (float)rand() / MAX_RAND; - float U2 = (float)rand() / MAX_RAND; - V1 = 2 * U1 - 1; - V2 = 2 * U2 - 1; - S = V1 * V1 + V2 * V2; - } while (S >= 1 || fabsf(S) < 1e-8f); - - X = V1 * float(sqrt(-2 * float(log(S)) / S)); - - } else - X = V2 * float(sqrt(-2 * float(log(S)) / S)); - - phase = 1 - phase; - return X * getStdDev() + getMean(); - } -// accessors - float getMean() { return _mean.get(); } - float getStdDev() { return _stdDev.get(); } -private: -// attributes - BlockParam _mean; - BlockParam _stdDev; -}; - -int __EXPORT blockRandGaussTest(); - -} // namespace control diff --git a/apps/controllib/fixedwing.cpp b/apps/controllib/fixedwing.cpp deleted file mode 100644 index 1cc28b9dd..000000000 --- a/apps/controllib/fixedwing.cpp +++ /dev/null @@ -1,361 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -/** - * @file fixedwing.cpp - * - * Controller library code - */ - -#include "fixedwing.hpp" - -namespace control -{ - -namespace fixedwing -{ - -BlockYawDamper::BlockYawDamper(SuperBlock *parent, const char *name) : - SuperBlock(parent, name), - _rLowPass(this, "R_LP"), - _rWashout(this, "R_HP"), - _r2Rdr(this, "R2RDR"), - _rudder(0) -{ -} - -BlockYawDamper::~BlockYawDamper() {}; - -void BlockYawDamper::update(float rCmd, float r) -{ - _rudder = _r2Rdr.update(rCmd - - _rWashout.update(_rLowPass.update(r))); -} - -BlockStabilization::BlockStabilization(SuperBlock *parent, const char *name) : - SuperBlock(parent, name), - _yawDamper(this, ""), - _pLowPass(this, "P_LP"), - _qLowPass(this, "Q_LP"), - _p2Ail(this, "P2AIL"), - _q2Elv(this, "Q2ELV"), - _aileron(0), - _elevator(0) -{ -} - -BlockStabilization::~BlockStabilization() {}; - -void BlockStabilization::update(float pCmd, float qCmd, float rCmd, - float p, float q, float r) -{ - _aileron = _p2Ail.update( - pCmd - _pLowPass.update(p)); - _elevator = _q2Elv.update( - qCmd - _qLowPass.update(q)); - _yawDamper.update(rCmd, r); -} - -BlockWaypointGuidance::BlockWaypointGuidance(SuperBlock *parent, const char *name) : - SuperBlock(parent, name), - _xtYawLimit(this, "XT2YAW"), - _xt2Yaw(this, "XT2YAW"), - _psiCmd(0) -{ -} - -BlockWaypointGuidance::~BlockWaypointGuidance() {}; - -void BlockWaypointGuidance::update(vehicle_global_position_s &pos, - vehicle_attitude_s &att, - vehicle_global_position_setpoint_s &posCmd, - vehicle_global_position_setpoint_s &lastPosCmd) -{ - - // heading to waypoint - float psiTrack = get_bearing_to_next_waypoint( - (double)pos.lat / (double)1e7d, - (double)pos.lon / (double)1e7d, - (double)posCmd.lat / (double)1e7d, - (double)posCmd.lon / (double)1e7d); - - // cross track - struct crosstrack_error_s xtrackError; - get_distance_to_line(&xtrackError, - (double)pos.lat / (double)1e7d, - (double)pos.lon / (double)1e7d, - (double)lastPosCmd.lat / (double)1e7d, - (double)lastPosCmd.lon / (double)1e7d, - (double)posCmd.lat / (double)1e7d, - (double)posCmd.lon / (double)1e7d); - - _psiCmd = _wrap_2pi(psiTrack - - _xtYawLimit.update(_xt2Yaw.update(xtrackError.distance))); -} - -BlockUorbEnabledAutopilot::BlockUorbEnabledAutopilot(SuperBlock *parent, const char *name) : - SuperBlock(parent, name), - // subscriptions - _att(&getSubscriptions(), ORB_ID(vehicle_attitude), 20), - _attCmd(&getSubscriptions(), ORB_ID(vehicle_attitude_setpoint), 20), - _ratesCmd(&getSubscriptions(), ORB_ID(vehicle_rates_setpoint), 20), - _pos(&getSubscriptions() , ORB_ID(vehicle_global_position), 20), - _posCmd(&getSubscriptions(), ORB_ID(vehicle_global_position_setpoint), 20), - _manual(&getSubscriptions(), ORB_ID(manual_control_setpoint), 20), - _status(&getSubscriptions(), ORB_ID(vehicle_status), 20), - _param_update(&getSubscriptions(), ORB_ID(parameter_update), 1000), // limit to 1 Hz - // publications - _actuators(&getPublications(), ORB_ID(actuator_controls_0)) -{ -} - -BlockUorbEnabledAutopilot::~BlockUorbEnabledAutopilot() {}; - -BlockMultiModeBacksideAutopilot::BlockMultiModeBacksideAutopilot(SuperBlock *parent, const char *name) : - BlockUorbEnabledAutopilot(parent, name), - _stabilization(this, ""), // no name needed, already unique - - // heading hold - _psi2Phi(this, "PSI2PHI"), - _phi2P(this, "PHI2P"), - _phiLimit(this, "PHI_LIM"), - - // velocity hold - _v2Theta(this, "V2THE"), - _theta2Q(this, "THE2Q"), - _theLimit(this, "THE"), - _vLimit(this, "V"), - - // altitude/roc hold - _h2Thr(this, "H2THR"), - _roc2Thr(this, "ROC2THR"), - - // guidance block - _guide(this, ""), - - // block params - _trimAil(this, "TRIM_ROLL", false), /* general roll trim (full name: TRIM_ROLL) */ - _trimElv(this, "TRIM_PITCH", false), /* general pitch trim */ - _trimRdr(this, "TRIM_YAW", false), /* general yaw trim */ - _trimThr(this, "TRIM_THR", true), /* FWB_ specific throttle trim (full name: FWB_TRIM_THR) */ - - _vCmd(this, "V_CMD"), - _rocMax(this, "ROC_MAX"), - _attPoll(), - _lastPosCmd(), - _timeStamp(0) -{ - _attPoll.fd = _att.getHandle(); - _attPoll.events = POLLIN; -} - -void BlockMultiModeBacksideAutopilot::update() -{ - // wait for a sensor update, check for exit condition every 100 ms - if (poll(&_attPoll, 1, 100) < 0) return; // poll error - - uint64_t newTimeStamp = hrt_absolute_time(); - float dt = (newTimeStamp - _timeStamp) / 1.0e6f; - _timeStamp = newTimeStamp; - - // check for sane values of dt - // to prevent large control responses - if (dt > 1.0f || dt < 0) return; - - // set dt for all child blocks - setDt(dt); - - // store old position command before update if new command sent - if (_posCmd.updated()) { - _lastPosCmd = _posCmd.getData(); - } - - // check for new updates - if (_param_update.updated()) updateParams(); - - // get new information from subscriptions - updateSubscriptions(); - - // default all output to zero unless handled by mode - for (unsigned i = 4; i < NUM_ACTUATOR_CONTROLS; i++) - _actuators.control[i] = 0.0f; - - // only update guidance in auto mode - if (_status.state_machine == SYSTEM_STATE_AUTO) { - // update guidance - _guide.update(_pos, _att, _posCmd, _lastPosCmd); - } - - // XXX handle STABILIZED (loiter on spot) as well - // once the system switches from manual or auto to stabilized - // the setpoint should update to loitering around this position - - // handle autopilot modes - if (_status.state_machine == SYSTEM_STATE_AUTO || - _status.state_machine == SYSTEM_STATE_STABILIZED) { - - // update guidance - _guide.update(_pos, _att, _posCmd, _lastPosCmd); - - // calculate velocity, XXX should be airspeed, but using ground speed for now - float v = sqrtf(_pos.vx * _pos.vx + _pos.vy * _pos.vy + _pos.vz * _pos.vz); - - // altitude hold - float dThrottle = _h2Thr.update(_posCmd.altitude - _pos.alt); - - // heading hold - float psiError = _wrap_pi(_guide.getPsiCmd() - _att.yaw); - float phiCmd = _phiLimit.update(_psi2Phi.update(psiError)); - float pCmd = _phi2P.update(phiCmd - _att.roll); - - // velocity hold - // negative sign because nose over to increase speed - float thetaCmd = _theLimit.update(-_v2Theta.update( - _vLimit.update(_vCmd.get()) - v)); - float qCmd = _theta2Q.update(thetaCmd - _att.pitch); - - // yaw rate cmd - float rCmd = 0; - - // stabilization - _stabilization.update(pCmd, qCmd, rCmd, - _att.rollspeed, _att.pitchspeed, _att.yawspeed); - - // output - _actuators.control[CH_AIL] = _stabilization.getAileron() + _trimAil.get(); - _actuators.control[CH_ELV] = _stabilization.getElevator() + _trimElv.get(); - _actuators.control[CH_RDR] = _stabilization.getRudder() + _trimRdr.get(); - _actuators.control[CH_THR] = dThrottle + _trimThr.get(); - - // XXX limit throttle to manual setting (safety) for now. - // If it turns out to be confusing, it can be removed later once - // a first binary release can be targeted. - // This is not a hack, but a design choice. - - /* do not limit in HIL */ - if (!_status.flag_hil_enabled) { - /* limit to value of manual throttle */ - _actuators.control[CH_THR] = (_actuators.control[CH_THR] < _manual.throttle) ? - _actuators.control[CH_THR] : _manual.throttle; - } - - } else if (_status.state_machine == SYSTEM_STATE_MANUAL) { - - if (_status.manual_control_mode == VEHICLE_MANUAL_CONTROL_MODE_DIRECT) { - _actuators.control[CH_AIL] = _manual.roll; - _actuators.control[CH_ELV] = _manual.pitch; - _actuators.control[CH_RDR] = _manual.yaw; - _actuators.control[CH_THR] = _manual.throttle; - - } else if (_status.manual_control_mode == VEHICLE_MANUAL_CONTROL_MODE_SAS) { - - // calculate velocity, XXX should be airspeed, but using ground speed for now - float v = sqrtf(_pos.vx * _pos.vx + _pos.vy * _pos.vy + _pos.vz * _pos.vz); - - // pitch channel -> rate of climb - // TODO, might want to put a gain on this, otherwise commanding - // from +1 -> -1 m/s for rate of climb - //float dThrottle = _roc2Thr.update( - //_rocMax.get()*_manual.pitch - _pos.vz); - - // roll channel -> bank angle - float phiCmd = _phiLimit.update(_manual.roll * _phiLimit.getMax()); - float pCmd = _phi2P.update(phiCmd - _att.roll); - - // throttle channel -> velocity - // negative sign because nose over to increase speed - float vCmd = _manual.throttle * (_vLimit.getMax() - _vLimit.getMin()) + _vLimit.getMin(); - float thetaCmd = _theLimit.update(-_v2Theta.update(_vLimit.update(vCmd) - v)); - float qCmd = _theta2Q.update(thetaCmd - _att.pitch); - - // yaw rate cmd - float rCmd = 0; - - // stabilization - _stabilization.update(pCmd, qCmd, rCmd, - _att.rollspeed, _att.pitchspeed, _att.yawspeed); - - // output - _actuators.control[CH_AIL] = _stabilization.getAileron() + _trimAil.get(); - _actuators.control[CH_ELV] = _stabilization.getElevator() + _trimElv.get(); - _actuators.control[CH_RDR] = _stabilization.getRudder() + _trimRdr.get(); - - // currenlty using manual throttle - // XXX if you enable this watch out, vz might be very noisy - //_actuators.control[CH_THR] = dThrottle + _trimThr.get(); - _actuators.control[CH_THR] = _manual.throttle; - - // XXX limit throttle to manual setting (safety) for now. - // If it turns out to be confusing, it can be removed later once - // a first binary release can be targeted. - // This is not a hack, but a design choice. - - /* do not limit in HIL */ - if (!_status.flag_hil_enabled) { - /* limit to value of manual throttle */ - _actuators.control[CH_THR] = (_actuators.control[CH_THR] < _manual.throttle) ? - _actuators.control[CH_THR] : _manual.throttle; - } - } - - // body rates controller, disabled for now - else if (0 /*_status.manual_control_mode == VEHICLE_MANUAL_CONTROL_MODE_SAS*/) { - - _stabilization.update(_manual.roll, _manual.pitch, _manual.yaw, - _att.rollspeed, _att.pitchspeed, _att.yawspeed); - - _actuators.control[CH_AIL] = _stabilization.getAileron(); - _actuators.control[CH_ELV] = _stabilization.getElevator(); - _actuators.control[CH_RDR] = _stabilization.getRudder(); - _actuators.control[CH_THR] = _manual.throttle; - } - } - - // update all publications - updatePublications(); -} - -BlockMultiModeBacksideAutopilot::~BlockMultiModeBacksideAutopilot() -{ - // send one last publication when destroyed, setting - // all output to zero - for (unsigned i = 0; i < NUM_ACTUATOR_CONTROLS; i++) - _actuators.control[i] = 0.0f; - - updatePublications(); -} - -} // namespace fixedwing - -} // namespace control - diff --git a/apps/controllib/fixedwing.hpp b/apps/controllib/fixedwing.hpp deleted file mode 100644 index 281cbb4cb..000000000 --- a/apps/controllib/fixedwing.hpp +++ /dev/null @@ -1,342 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -/** - * @file fixedwing.h - * - * Controller library code - */ - -#pragma once - -#include -#include -#include -#include -#include -#include -#include -#include -#include - -#include -#include -#include -#include - -#include -#include - -#include "blocks.hpp" -#include "block/UOrbSubscription.hpp" -#include "block/UOrbPublication.hpp" - -extern "C" { -#include -} - -namespace control -{ - -namespace fixedwing -{ - -/** - * BlockYawDamper - * - * This block has more explations to help new developers - * add their own blocks. It includes a limited explanation - * of some C++ basics. - * - * Block: The generic class describing a typical block as you - * would expect in Simulink or ScicosLab. A block can have - * parameters. It cannot have other blocks. - * - * SuperBlock: A superblock is a block that can have other - * blocks. It has methods that manage the blocks beneath it. - * - * BlockYawDamper inherits from SuperBlock publically, this - * means that any public function in SuperBlock are public within - * BlockYawDamper and may be called from outside the - * class methods. Any protected function within block - * are private to the class and may not be called from - * outside this class. Protected should be preferred - * where possible to public as it is important to - * limit access to the bare minimum to prevent - * accidental errors. - */ -class __EXPORT BlockYawDamper : public SuperBlock -{ -private: - /** - * Declaring other blocks used by this block - * - * In this section we declare all child blocks that - * this block is composed of. They are private - * members so only this block has direct access to - * them. - */ - BlockLowPass _rLowPass; - BlockHighPass _rWashout; - BlockP _r2Rdr; - - /** - * Declaring output values and accessors - * - * If we have any output values for the block we - * declare them here. Output can be directly returned - * through the update function, but outputs should be - * declared here if the information will likely be requested - * again, or if there are multiple outputs. - * - * You should only be able to set outputs from this block, - * so the outputs are declared in the private section. - * A get accessor is provided - * in the public section for other blocks to get the - * value of the output. - */ - float _rudder; -public: - /** - * BlockYawDamper Constructor - * - * The job of the constructor is to initialize all - * parameter in this block and initialize all child - * blocks. Note also, that the output values must be - * initialized here. The order of the members in the - * member initialization list should follow the - * order in which they are declared within the class. - * See the private member declarations above. - * - * Block Construction - * - * All blocks are constructed with their parent block - * and their name. This allows parameters within the - * block to construct a fully qualified name from - * concatenating the two. If the name provided to the - * block is "", then the block will use the parent - * name as it's name. This is useful in cases where - * you have a block that has parameters "MIN", "MAX", - * such as BlockLimit and you do not want an extra name - * to qualify them since the parent block has no "MIN", - * "MAX" parameters. - * - * Block Parameter Construction - * - * Block parameters are named constants, they are - * constructed using: - * BlockParam::BlockParam(Block * parent, const char * name) - * This funciton takes both a parent block and a name. - * The constructore then uses the parent name and the name of - * the paramter to ask the px4 param library if it has any - * parameters with this name. If it does, a handle to the - * parameter is retrieved. - * - * Block/ BlockParam Naming - * - * When desigining new blocks, the naming of the parameters and - * blocks determines the fully qualified name of the parameters - * within the ground station, so it is important to choose - * short, easily understandable names. Again, when a name of - * "" is passed, the parent block name is used as the value to - * prepend to paramters names. - */ - BlockYawDamper(SuperBlock *parent, const char *name); - /** - * Block deconstructor - * - * It is always a good idea to declare a virtual - * deconstructor so that upon calling delete from - * a class derived from this, all of the - * deconstructors all called, the derived class first, and - * then the base class - */ - virtual ~BlockYawDamper(); - - /** - * Block update function - * - * The job of the update function is to compute the output - * values for the block. In a simple block with one output, - * the output may be returned directly. If the output is - * required frequenly by other processses, it might be a - * good idea to declare a member to store the temporary - * variable. - */ - void update(float rCmd, float r); - - /** - * Rudder output value accessor - * - * This is a public accessor function, which means that the - * private value _rudder is returned to anyone calling - * BlockYawDamper::getRudder(). Note thate a setRudder() is - * not provided, this is because the updateParams() call - * for a block provides the mechanism for updating the - * paramter. - */ - float getRudder() { return _rudder; } -}; - -/** - * Stability augmentation system. - * Aircraft Control and Simulation, Stevens and Lewis, pg. 292, 299 - */ -class __EXPORT BlockStabilization : public SuperBlock -{ -private: - BlockYawDamper _yawDamper; - BlockLowPass _pLowPass; - BlockLowPass _qLowPass; - BlockP _p2Ail; - BlockP _q2Elv; - float _aileron; - float _elevator; -public: - BlockStabilization(SuperBlock *parent, const char *name); - virtual ~BlockStabilization(); - void update(float pCmd, float qCmd, float rCmd, - float p, float q, float r); - float getAileron() { return _aileron; } - float getElevator() { return _elevator; } - float getRudder() { return _yawDamper.getRudder(); } -}; - -/** - * Frontside/ Backside Control Systems - * - * Frontside : - * velocity error -> throttle - * altitude error -> elevator - * - * Backside : - * velocity error -> elevator - * altitude error -> throttle - * - * Backside control systems are more resilient at - * slow speeds on the back-side of the power - * required curve/ landing etc. Less performance - * than frontside at high speeds. - */ - -/** - * Waypoint Guidance block - */ -class __EXPORT BlockWaypointGuidance : public SuperBlock -{ -private: - BlockLimitSym _xtYawLimit; - BlockP _xt2Yaw; - float _psiCmd; -public: - BlockWaypointGuidance(SuperBlock *parent, const char *name); - virtual ~BlockWaypointGuidance(); - void update(vehicle_global_position_s &pos, - vehicle_attitude_s &att, - vehicle_global_position_setpoint_s &posCmd, - vehicle_global_position_setpoint_s &lastPosCmd); - float getPsiCmd() { return _psiCmd; } -}; - -/** - * UorbEnabledAutopilot - */ -class __EXPORT BlockUorbEnabledAutopilot : public SuperBlock -{ -protected: - // subscriptions - UOrbSubscription _att; - UOrbSubscription _attCmd; - UOrbSubscription _ratesCmd; - UOrbSubscription _pos; - UOrbSubscription _posCmd; - UOrbSubscription _manual; - UOrbSubscription _status; - UOrbSubscription _param_update; - // publications - UOrbPublication _actuators; -public: - BlockUorbEnabledAutopilot(SuperBlock *parent, const char *name); - virtual ~BlockUorbEnabledAutopilot(); -}; - -/** - * Multi-mode Autopilot - */ -class __EXPORT BlockMultiModeBacksideAutopilot : public BlockUorbEnabledAutopilot -{ -private: - // stabilization - BlockStabilization _stabilization; - - // heading hold - BlockP _psi2Phi; - BlockP _phi2P; - BlockLimitSym _phiLimit; - - // velocity hold - BlockPID _v2Theta; - BlockPID _theta2Q; - BlockLimit _theLimit; - BlockLimit _vLimit; - - // altitude/ roc hold - BlockPID _h2Thr; - BlockPID _roc2Thr; - - // guidance - BlockWaypointGuidance _guide; - - // block params - BlockParam _trimAil; - BlockParam _trimElv; - BlockParam _trimRdr; - BlockParam _trimThr; - BlockParam _vCmd; - BlockParam _rocMax; - - struct pollfd _attPoll; - vehicle_global_position_setpoint_s _lastPosCmd; - enum {CH_AIL, CH_ELV, CH_RDR, CH_THR}; - uint64_t _timeStamp; -public: - BlockMultiModeBacksideAutopilot(SuperBlock *parent, const char *name); - void update(); - virtual ~BlockMultiModeBacksideAutopilot(); -}; - - -} // namespace fixedwing - -} // namespace control - diff --git a/apps/controllib/test_params.c b/apps/controllib/test_params.c deleted file mode 100644 index 7c609cad3..000000000 --- a/apps/controllib/test_params.c +++ /dev/null @@ -1,22 +0,0 @@ -#include -// WARNING: -// do not changes these unless -// you want to recompute the -// answers for all of the unit tests - -PARAM_DEFINE_FLOAT(TEST_MIN, -1.0f); -PARAM_DEFINE_FLOAT(TEST_MAX, 1.0f); -PARAM_DEFINE_FLOAT(TEST_TRIM, 0.5f); -PARAM_DEFINE_FLOAT(TEST_HP, 10.0f); -PARAM_DEFINE_FLOAT(TEST_LP, 10.0f); - -PARAM_DEFINE_FLOAT(TEST_P, 0.2f); - -PARAM_DEFINE_FLOAT(TEST_I, 0.1f); -PARAM_DEFINE_FLOAT(TEST_I_MAX, 1.0f); - -PARAM_DEFINE_FLOAT(TEST_D, 0.01f); -PARAM_DEFINE_FLOAT(TEST_D_LP, 10.0f); - -PARAM_DEFINE_FLOAT(TEST_MEAN, 1.0f); -PARAM_DEFINE_FLOAT(TEST_DEV, 2.0f); diff --git a/apps/drivers/device/Makefile b/apps/drivers/device/Makefile deleted file mode 100644 index f7b1fff88..000000000 --- a/apps/drivers/device/Makefile +++ /dev/null @@ -1,38 +0,0 @@ -############################################################################ -# -# Copyright (C) 2012 PX4 Development Team. All rights reserved. -# -# Redistribution and use in source and binary forms, with or without -# modification, are permitted provided that the following conditions -# are met: -# -# 1. Redistributions of source code must retain the above copyright -# notice, this list of conditions and the following disclaimer. -# 2. Redistributions in binary form must reproduce the above copyright -# notice, this list of conditions and the following disclaimer in -# the documentation and/or other materials provided with the -# distribution. -# 3. Neither the name PX4 nor the names of its contributors may be -# used to endorse or promote products derived from this software -# without specific prior written permission. -# -# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -# "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -# LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -# FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -# COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -# INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -# BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS -# OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED -# AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -# LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -# ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -# POSSIBILITY OF SUCH DAMAGE. -# -############################################################################ - -# -# Build the device driver framework. -# - -include $(APPDIR)/mk/app.mk diff --git a/apps/drivers/device/cdev.cpp b/apps/drivers/device/cdev.cpp deleted file mode 100644 index 422321850..000000000 --- a/apps/drivers/device/cdev.cpp +++ /dev/null @@ -1,398 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -/** - * @file cdev.cpp - * - * Character device base class. - */ - -#include "device.h" - -#include -#include - -#include -#include - -#ifdef CONFIG_DISABLE_POLL -# error This driver is not compatible with CONFIG_DISABLE_POLL -#endif - -namespace device -{ - -/* how much to grow the poll waiter set each time it has to be increased */ -static const unsigned pollset_increment = 0; - -/* - * The standard NuttX operation dispatch table can't call C++ member functions - * directly, so we have to bounce them through this dispatch table. - */ -static int cdev_open(struct file *filp); -static int cdev_close(struct file *filp); -static ssize_t cdev_read(struct file *filp, char *buffer, size_t buflen); -static ssize_t cdev_write(struct file *filp, const char *buffer, size_t buflen); -static off_t cdev_seek(struct file *filp, off_t offset, int whence); -static int cdev_ioctl(struct file *filp, int cmd, unsigned long arg); -static int cdev_poll(struct file *filp, struct pollfd *fds, bool setup); - -/** - * Character device indirection table. - * - * Every cdev we register gets the same function table; we use the private data - * field in the inode to store the instance pointer. - * - * Note that we use the GNU extension syntax here because we don't get designated - * initialisers in gcc 4.6. - */ -const struct file_operations CDev::fops = { -open : cdev_open, -close : cdev_close, -read : cdev_read, -write : cdev_write, -seek : cdev_seek, -ioctl : cdev_ioctl, -poll : cdev_poll, -}; - -CDev::CDev(const char *name, - const char *devname, - int irq) : - // base class - Device(name, irq), - // public - // protected - // private - _devname(devname), - _registered(false), - _open_count(0) -{ - for (unsigned i = 0; i < _max_pollwaiters; i++) - _pollset[i] = nullptr; -} - -CDev::~CDev() -{ - if (_registered) - unregister_driver(_devname); -} - -int -CDev::init() -{ - int ret = OK; - - // base class init first - ret = Device::init(); - - if (ret != OK) - goto out; - - // now register the driver - ret = register_driver(_devname, &fops, 0666, (void *)this); - - if (ret != OK) - goto out; - - _registered = true; - -out: - return ret; -} - -/* - * Default implementations of the character device interface - */ -int -CDev::open(struct file *filp) -{ - int ret = OK; - - lock(); - /* increment the open count */ - _open_count++; - - if (_open_count == 1) { - - /* first-open callback may decline the open */ - ret = open_first(filp); - - if (ret != OK) - _open_count--; - } - - unlock(); - - return ret; -} - -int -CDev::open_first(struct file *filp) -{ - return OK; -} - -int -CDev::close(struct file *filp) -{ - int ret = OK; - - lock(); - - if (_open_count > 0) { - /* decrement the open count */ - _open_count--; - - /* callback cannot decline the close */ - if (_open_count == 0) - ret = close_last(filp); - - } else { - ret = -EBADF; - } - - unlock(); - - return ret; -} - -int -CDev::close_last(struct file *filp) -{ - return OK; -} - -ssize_t -CDev::read(struct file *filp, char *buffer, size_t buflen) -{ - return -ENOSYS; -} - -ssize_t -CDev::write(struct file *filp, const char *buffer, size_t buflen) -{ - return -ENOSYS; -} - -off_t -CDev::seek(struct file *filp, off_t offset, int whence) -{ - return -ENOSYS; -} - -int -CDev::ioctl(struct file *filp, int cmd, unsigned long arg) -{ - switch (cmd) { - - /* fetch a pointer to the driver's private data */ - case DIOC_GETPRIV: - *(void **)(uintptr_t)arg = (void *)this; - return OK; - } - - return -ENOTTY; -} - -int -CDev::poll(struct file *filp, struct pollfd *fds, bool setup) -{ - int ret = OK; - - /* - * Lock against pollnotify() (and possibly other callers) - */ - lock(); - - if (setup) { - /* - * Save the file pointer in the pollfd for the subclass' - * benefit. - */ - fds->priv = (void *)filp; - - /* - * Handle setup requests. - */ - ret = store_poll_waiter(fds); - - if (ret == OK) { - - /* - * Check to see whether we should send a poll notification - * immediately. - */ - fds->revents |= fds->events & poll_state(filp); - - /* yes? post the notification */ - if (fds->revents != 0) - sem_post(fds->sem); - } - - } else { - /* - * Handle a teardown request. - */ - ret = remove_poll_waiter(fds); - } - - unlock(); - - return ret; -} - -void -CDev::poll_notify(pollevent_t events) -{ - /* lock against poll() as well as other wakeups */ - irqstate_t state = irqsave(); - - for (unsigned i = 0; i < _max_pollwaiters; i++) - if (nullptr != _pollset[i]) - poll_notify_one(_pollset[i], events); - - irqrestore(state); -} - -void -CDev::poll_notify_one(struct pollfd *fds, pollevent_t events) -{ - /* update the reported event set */ - fds->revents |= fds->events & events; - - /* if the state is now interesting, wake the waiter if it's still asleep */ - /* XXX semcount check here is a vile hack; counting semphores should not be abused as cvars */ - if ((fds->revents != 0) && (fds->sem->semcount <= 0)) - sem_post(fds->sem); -} - -pollevent_t -CDev::poll_state(struct file *filp) -{ - /* by default, no poll events to report */ - return 0; -} - -int -CDev::store_poll_waiter(struct pollfd *fds) -{ - /* - * Look for a free slot. - */ - for (unsigned i = 0; i < _max_pollwaiters; i++) { - if (nullptr == _pollset[i]) { - - /* save the pollfd */ - _pollset[i] = fds; - - return OK; - } - } - - return ENOMEM; -} - -int -CDev::remove_poll_waiter(struct pollfd *fds) -{ - for (unsigned i = 0; i < _max_pollwaiters; i++) { - if (fds == _pollset[i]) { - - _pollset[i] = nullptr; - return OK; - - } - } - - puts("poll: bad fd state"); - return -EINVAL; -} - -static int -cdev_open(struct file *filp) -{ - CDev *cdev = (CDev *)(filp->f_inode->i_private); - - return cdev->open(filp); -} - -static int -cdev_close(struct file *filp) -{ - CDev *cdev = (CDev *)(filp->f_inode->i_private); - - return cdev->close(filp); -} - -static ssize_t -cdev_read(struct file *filp, char *buffer, size_t buflen) -{ - CDev *cdev = (CDev *)(filp->f_inode->i_private); - - return cdev->read(filp, buffer, buflen); -} - -static ssize_t -cdev_write(struct file *filp, const char *buffer, size_t buflen) -{ - CDev *cdev = (CDev *)(filp->f_inode->i_private); - - return cdev->write(filp, buffer, buflen); -} - -static off_t -cdev_seek(struct file *filp, off_t offset, int whence) -{ - CDev *cdev = (CDev *)(filp->f_inode->i_private); - - return cdev->seek(filp, offset, whence); -} - -static int -cdev_ioctl(struct file *filp, int cmd, unsigned long arg) -{ - CDev *cdev = (CDev *)(filp->f_inode->i_private); - - return cdev->ioctl(filp, cmd, arg); -} - -static int -cdev_poll(struct file *filp, struct pollfd *fds, bool setup) -{ - CDev *cdev = (CDev *)(filp->f_inode->i_private); - - return cdev->poll(filp, fds, setup); -} - -} // namespace device \ No newline at end of file diff --git a/apps/drivers/device/device.cpp b/apps/drivers/device/device.cpp deleted file mode 100644 index 04a5222c3..000000000 --- a/apps/drivers/device/device.cpp +++ /dev/null @@ -1,227 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -/** - * @file device.cpp - * - * Fundamental driver base class for the device framework. - */ - -#include "device.h" - -#include -#include -#include - -namespace device -{ - -/** - * Interrupt dispatch table entry. - */ -struct irq_entry { - int irq; - Device *owner; -}; - -static const unsigned irq_nentries = 8; /**< size of the interrupt dispatch table */ -static irq_entry irq_entries[irq_nentries]; /**< interrupt dispatch table (XXX should be a vector) */ - -/** - * Register an interrupt to a specific device. - * - * @param irq The interrupt number to register. - * @param owner The device receiving the interrupt. - * @return OK if the interrupt was registered. - */ -static int register_interrupt(int irq, Device *owner); - -/** - * Unregister an interrupt. - * - * @param irq The previously-registered interrupt to be de-registered. - */ -static void unregister_interrupt(int irq); - -/** - * Handle an interrupt. - * - * @param irq The interrupt being invoked. - * @param context The interrupt register context. - * @return Always returns OK. - */ -static int interrupt(int irq, void *context); - -Device::Device(const char *name, - int irq) : - // public - // protected - _name(name), - _debug_enabled(false), - // private - _irq(irq), - _irq_attached(false) -{ - sem_init(&_lock, 0, 1); -} - -Device::~Device() -{ - sem_destroy(&_lock); - - if (_irq_attached) - unregister_interrupt(_irq); -} - -int -Device::init() -{ - int ret = OK; - - // If assigned an interrupt, connect it - if (_irq) { - /* ensure it's disabled */ - up_disable_irq(_irq); - - /* register */ - ret = register_interrupt(_irq, this); - - if (ret != OK) - goto out; - - _irq_attached = true; - } - -out: - return ret; -} - -void -Device::interrupt_enable() -{ - if (_irq_attached) - up_enable_irq(_irq); -} - -void -Device::interrupt_disable() -{ - if (_irq_attached) - up_disable_irq(_irq); -} - -void -Device::interrupt(void *context) -{ - // default action is to disable the interrupt so we don't get called again - interrupt_disable(); -} - -void -Device::log(const char *fmt, ...) -{ - va_list ap; - - printf("[%s] ", _name); - va_start(ap, fmt); - vprintf(fmt, ap); - va_end(ap); - printf("\n"); - fflush(stdout); -} - -void -Device::debug(const char *fmt, ...) -{ - va_list ap; - - if (_debug_enabled) { - printf("<%s> ", _name); - va_start(ap, fmt); - vprintf(fmt, ap); - va_end(ap); - printf("\n"); - fflush(stdout); - } -} - -static int -register_interrupt(int irq, Device *owner) -{ - int ret = -ENOMEM; - - // look for a slot where we can register the interrupt - for (unsigned i = 0; i < irq_nentries; i++) { - if (irq_entries[i].irq == 0) { - - // great, we could put it here; try attaching it - ret = irq_attach(irq, &interrupt); - - if (ret == OK) { - irq_entries[i].irq = irq; - irq_entries[i].owner = owner; - } - - break; - } - } - - return ret; -} - -static void -unregister_interrupt(int irq) -{ - for (unsigned i = 0; i < irq_nentries; i++) { - if (irq_entries[i].irq == irq) { - irq_entries[i].irq = 0; - irq_entries[i].owner = nullptr; - } - } -} - -static int -interrupt(int irq, void *context) -{ - for (unsigned i = 0; i < irq_nentries; i++) { - if (irq_entries[i].irq == irq) { - irq_entries[i].owner->interrupt(context); - break; - } - } - - return OK; -} - - -} // namespace device \ No newline at end of file diff --git a/apps/drivers/device/device.h b/apps/drivers/device/device.h deleted file mode 100644 index 7d375aab9..000000000 --- a/apps/drivers/device/device.h +++ /dev/null @@ -1,447 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -/** - * @file device.h - * - * Definitions for the generic base classes in the device framework. - */ - -#ifndef _DEVICE_DEVICE_H -#define _DEVICE_DEVICE_H - -/* - * Includes here should only cover the needs of the framework definitions. - */ -#include - -#include -#include -#include -#include -#include - -#include - -/** - * Namespace encapsulating all device framework classes, functions and data. - */ -namespace device __EXPORT -{ - -/** - * Fundamental base class for all device drivers. - * - * This class handles the basic "being a driver" things, including - * interrupt registration and dispatch. - */ -class __EXPORT Device -{ -public: - /** - * Interrupt handler. - */ - virtual void interrupt(void *ctx); /**< interrupt handler */ - -protected: - const char *_name; /**< driver name */ - bool _debug_enabled; /**< if true, debug messages are printed */ - - /** - * Constructor - * - * @param name Driver name - * @param irq Interrupt assigned to the device. - */ - Device(const char *name, - int irq = 0); - ~Device(); - - /** - * Initialise the driver and make it ready for use. - * - * @return OK if the driver initialised OK. - */ - virtual int init(); - - /** - * Enable the device interrupt - */ - void interrupt_enable(); - - /** - * Disable the device interrupt - */ - void interrupt_disable(); - - /** - * Take the driver lock. - * - * Each driver instance has its own lock/semaphore. - * - * Note that we must loop as the wait may be interrupted by a signal. - */ - void lock() { - do {} while (sem_wait(&_lock) != 0); - } - - /** - * Release the driver lock. - */ - void unlock() { - sem_post(&_lock); - } - - /** - * Log a message. - * - * The message is prefixed with the driver name, and followed - * by a newline. - */ - void log(const char *fmt, ...); - - /** - * Print a debug message. - * - * The message is prefixed with the driver name, and followed - * by a newline. - */ - void debug(const char *fmt, ...); - -private: - int _irq; - bool _irq_attached; - sem_t _lock; - - /** disable copy construction for this and all subclasses */ - Device(const Device &); - - /** disable assignment for this and all subclasses */ - Device &operator = (const Device &); - - /** - * Register ourselves as a handler for an interrupt - * - * @param irq The interrupt to claim - * @return OK if the interrupt was registered - */ - int dev_register_interrupt(int irq); - - /** - * Unregister ourselves as a handler for any interrupt - */ - void dev_unregister_interrupt(); - - /** - * Interrupt dispatcher - * - * @param irq The interrupt that has been triggered. - * @param context Pointer to the interrupted context. - */ - static void dev_interrupt(int irq, void *context); -}; - -/** - * Abstract class for any character device - */ -class __EXPORT CDev : public Device -{ -public: - /** - * Constructor - * - * @param name Driver name - * @param devname Device node name - * @param irq Interrupt assigned to the device - */ - CDev(const char *name, const char *devname, int irq = 0); - - /** - * Destructor - */ - ~CDev(); - - virtual int init(); - - /** - * Handle an open of the device. - * - * This function is called for every open of the device. The default - * implementation maintains _open_count and always returns OK. - * - * @param filp Pointer to the NuttX file structure. - * @return OK if the open is allowed, -errno otherwise. - */ - virtual int open(struct file *filp); - - /** - * Handle a close of the device. - * - * This function is called for every close of the device. The default - * implementation maintains _open_count and returns OK as long as it is not zero. - * - * @param filp Pointer to the NuttX file structure. - * @return OK if the close was successful, -errno otherwise. - */ - virtual int close(struct file *filp); - - /** - * Perform a read from the device. - * - * The default implementation returns -ENOSYS. - * - * @param filp Pointer to the NuttX file structure. - * @param buffer Pointer to the buffer into which data should be placed. - * @param buflen The number of bytes to be read. - * @return The number of bytes read or -errno otherwise. - */ - virtual ssize_t read(struct file *filp, char *buffer, size_t buflen); - - /** - * Perform a write to the device. - * - * The default implementation returns -ENOSYS. - * - * @param filp Pointer to the NuttX file structure. - * @param buffer Pointer to the buffer from which data should be read. - * @param buflen The number of bytes to be written. - * @return The number of bytes written or -errno otherwise. - */ - virtual ssize_t write(struct file *filp, const char *buffer, size_t buflen); - - /** - * Perform a logical seek operation on the device. - * - * The default implementation returns -ENOSYS. - * - * @param filp Pointer to the NuttX file structure. - * @param offset The new file position relative to whence. - * @param whence SEEK_OFS, SEEK_CUR or SEEK_END. - * @return The previous offset, or -errno otherwise. - */ - virtual off_t seek(struct file *filp, off_t offset, int whence); - - /** - * Perform an ioctl operation on the device. - * - * The default implementation handles DIOC_GETPRIV, and otherwise - * returns -ENOTTY. Subclasses should call the default implementation - * for any command they do not handle themselves. - * - * @param filp Pointer to the NuttX file structure. - * @param cmd The ioctl command value. - * @param arg The ioctl argument value. - * @return OK on success, or -errno otherwise. - */ - virtual int ioctl(struct file *filp, int cmd, unsigned long arg); - - /** - * Perform a poll setup/teardown operation. - * - * This is handled internally and should not normally be overridden. - * - * @param filp Pointer to the NuttX file structure. - * @param fds Poll descriptor being waited on. - * @param arg True if this is establishing a request, false if - * it is being torn down. - * @return OK on success, or -errno otherwise. - */ - virtual int poll(struct file *filp, struct pollfd *fds, bool setup); - - /** - * Test whether the device is currently open. - * - * This can be used to avoid tearing down a device that is still active. - * - * @return True if the device is currently open. - */ - bool is_open() { return _open_count > 0; } - -protected: - /** - * Pointer to the default cdev file operations table; useful for - * registering clone devices etc. - */ - static const struct file_operations fops; - - /** - * Check the current state of the device for poll events from the - * perspective of the file. - * - * This function is called by the default poll() implementation when - * a poll is set up to determine whether the poll should return immediately. - * - * The default implementation returns no events. - * - * @param filp The file that's interested. - * @return The current set of poll events. - */ - virtual pollevent_t poll_state(struct file *filp); - - /** - * Report new poll events. - * - * This function should be called anytime the state of the device changes - * in a fashion that might be interesting to a poll waiter. - * - * @param events The new event(s) being announced. - */ - virtual void poll_notify(pollevent_t events); - - /** - * Internal implementation of poll_notify. - * - * @param fds A poll waiter to notify. - * @param events The event(s) to send to the waiter. - */ - virtual void poll_notify_one(struct pollfd *fds, pollevent_t events); - - /** - * Notification of the first open. - * - * This function is called when the device open count transitions from zero - * to one. The driver lock is held for the duration of the call. - * - * The default implementation returns OK. - * - * @param filp Pointer to the NuttX file structure. - * @return OK if the open should proceed, -errno otherwise. - */ - virtual int open_first(struct file *filp); - - /** - * Notification of the last close. - * - * This function is called when the device open count transitions from - * one to zero. The driver lock is held for the duration of the call. - * - * The default implementation returns OK. - * - * @param filp Pointer to the NuttX file structure. - * @return OK if the open should return OK, -errno otherwise. - */ - virtual int close_last(struct file *filp); - -private: - static const unsigned _max_pollwaiters = 8; - - const char *_devname; /**< device node name */ - bool _registered; /**< true if device name was registered */ - unsigned _open_count; /**< number of successful opens */ - - struct pollfd *_pollset[_max_pollwaiters]; - - /** - * Store a pollwaiter in a slot where we can find it later. - * - * Expands the pollset as required. Must be called with the driver locked. - * - * @return OK, or -errno on error. - */ - int store_poll_waiter(struct pollfd *fds); - - /** - * Remove a poll waiter. - * - * @return OK, or -errno on error. - */ - int remove_poll_waiter(struct pollfd *fds); -}; - -/** - * Abstract class for character device accessed via PIO - */ -class __EXPORT PIO : public CDev -{ -public: - /** - * Constructor - * - * @param name Driver name - * @param devname Device node name - * @param base Base address of the device PIO area - * @param irq Interrupt assigned to the device (or zero if none) - */ - PIO(const char *name, - const char *devname, - uint32_t base, - int irq = 0); - ~PIO(); - - int init(); - -protected: - - /** - * Read a register - * - * @param offset Register offset in bytes from the base address. - */ - uint32_t reg(uint32_t offset) { - return *(volatile uint32_t *)(_base + offset); - } - - /** - * Write a register - * - * @param offset Register offset in bytes from the base address. - * @param value Value to write. - */ - void reg(uint32_t offset, uint32_t value) { - *(volatile uint32_t *)(_base + offset) = value; - } - - /** - * Modify a register - * - * Note that there is a risk of a race during the read/modify/write cycle - * that must be taken care of by the caller. - * - * @param offset Register offset in bytes from the base address. - * @param clearbits Bits to clear in the register - * @param setbits Bits to set in the register - */ - void modify(uint32_t offset, uint32_t clearbits, uint32_t setbits) { - uint32_t val = reg(offset); - val &= ~clearbits; - val |= setbits; - reg(offset, val); - } - -private: - uint32_t _base; -}; - -} // namespace device - -#endif /* _DEVICE_DEVICE_H */ \ No newline at end of file diff --git a/apps/drivers/device/i2c.cpp b/apps/drivers/device/i2c.cpp deleted file mode 100644 index a416801eb..000000000 --- a/apps/drivers/device/i2c.cpp +++ /dev/null @@ -1,204 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -/** - * @file i2c.cpp - * - * Base class for devices attached via the I2C bus. - * - * @todo Bus frequency changes; currently we do nothing with the value - * that is supplied. Should we just depend on the bus knowing? - */ - -#include "i2c.h" - -namespace device -{ - -I2C::I2C(const char *name, - const char *devname, - int bus, - uint16_t address, - uint32_t frequency, - int irq) : - // base class - CDev(name, devname, irq), - // public - // protected - _retries(0), - // private - _bus(bus), - _address(address), - _frequency(frequency), - _dev(nullptr) -{ -} - -I2C::~I2C() -{ - if (_dev) - up_i2cuninitialize(_dev); -} - -int -I2C::init() -{ - int ret = OK; - - /* attach to the i2c bus */ - _dev = up_i2cinitialize(_bus); - - if (_dev == nullptr) { - debug("failed to init I2C"); - ret = -ENOENT; - goto out; - } - - // call the probe function to check whether the device is present - ret = probe(); - - if (ret != OK) { - debug("probe failed"); - goto out; - } - - // do base class init, which will create device node, etc - ret = CDev::init(); - - if (ret != OK) { - debug("cdev init failed"); - goto out; - } - - // tell the world where we are - log("on I2C bus %d at 0x%02x", _bus, _address); - -out: - return ret; -} - -int -I2C::probe() -{ - // Assume the device is too stupid to be discoverable. - return OK; -} - -int -I2C::transfer(const uint8_t *send, unsigned send_len, uint8_t *recv, unsigned recv_len) -{ - struct i2c_msg_s msgv[2]; - unsigned msgs; - int ret; - unsigned retry_count = 0; - - do { - // debug("transfer out %p/%u in %p/%u", send, send_len, recv, recv_len); - - msgs = 0; - - if (send_len > 0) { - msgv[msgs].addr = _address; - msgv[msgs].flags = 0; - msgv[msgs].buffer = const_cast(send); - msgv[msgs].length = send_len; - msgs++; - } - - if (recv_len > 0) { - msgv[msgs].addr = _address; - msgv[msgs].flags = I2C_M_READ; - msgv[msgs].buffer = recv; - msgv[msgs].length = recv_len; - msgs++; - } - - if (msgs == 0) - return -EINVAL; - - /* - * I2C architecture means there is an unavoidable race here - * if there are any devices on the bus with a different frequency - * preference. Really, this is pointless. - */ - I2C_SETFREQUENCY(_dev, _frequency); - ret = I2C_TRANSFER(_dev, &msgv[0], msgs); - - /* success */ - if (ret == OK) - break; - - /* if we have already retried once, or we are going to give up, then reset the bus */ - if ((retry_count >= 1) || (retry_count >= _retries)) - up_i2creset(_dev); - - } while (retry_count++ < _retries); - - return ret; - -} - -int -I2C::transfer(i2c_msg_s *msgv, unsigned msgs) -{ - int ret; - unsigned retry_count = 0; - - /* force the device address into the message vector */ - for (unsigned i = 0; i < msgs; i++) - msgv[i].addr = _address; - - - do { - /* - * I2C architecture means there is an unavoidable race here - * if there are any devices on the bus with a different frequency - * preference. Really, this is pointless. - */ - I2C_SETFREQUENCY(_dev, _frequency); - ret = I2C_TRANSFER(_dev, msgv, msgs); - - /* success */ - if (ret == OK) - break; - - /* if we have already retried once, or we are going to give up, then reset the bus */ - if ((retry_count >= 1) || (retry_count >= _retries)) - up_i2creset(_dev); - - } while (retry_count++ < _retries); - - return ret; -} - -} // namespace device \ No newline at end of file diff --git a/apps/drivers/device/i2c.h b/apps/drivers/device/i2c.h deleted file mode 100644 index 7daba31be..000000000 --- a/apps/drivers/device/i2c.h +++ /dev/null @@ -1,138 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -/** - * @file i2c.h - * - * Base class for devices connected via I2C. - */ - -#ifndef _DEVICE_I2C_H -#define _DEVICE_I2C_H - -#include "device.h" - -#include - -namespace device __EXPORT -{ - -/** - * Abstract class for character device on I2C - */ -class __EXPORT I2C : public CDev -{ - -protected: - /** - * The number of times a read or write operation will be retried on - * error. - */ - unsigned _retries; - - /** - * The I2C bus number the device is attached to. - */ - int _bus; - - /** - * @ Constructor - * - * @param name Driver name - * @param devname Device node name - * @param bus I2C bus on which the device lives - * @param address I2C bus address, or zero if set_address will be used - * @param frequency I2C bus frequency for the device (currently not used) - * @param irq Interrupt assigned to the device (or zero if none) - */ - I2C(const char *name, - const char *devname, - int bus, - uint16_t address, - uint32_t frequency, - int irq = 0); - ~I2C(); - - virtual int init(); - - /** - * Check for the presence of the device on the bus. - */ - virtual int probe(); - - /** - * Perform an I2C transaction to the device. - * - * At least one of send_len and recv_len must be non-zero. - * - * @param send Pointer to bytes to send. - * @param send_len Number of bytes to send. - * @param recv Pointer to buffer for bytes received. - * @param recv_len Number of bytes to receive. - * @return OK if the transfer was successful, -errno - * otherwise. - */ - int transfer(const uint8_t *send, unsigned send_len, - uint8_t *recv, unsigned recv_len); - - /** - * Perform a multi-part I2C transaction to the device. - * - * @param msgv An I2C message vector. - * @param msgs The number of entries in the message vector. - * @return OK if the transfer was successful, -errno - * otherwise. - */ - int transfer(i2c_msg_s *msgv, unsigned msgs); - - /** - * Change the bus address. - * - * Most often useful during probe() when the driver is testing - * several possible bus addresses. - * - * @param address The new bus address to set. - */ - void set_address(uint16_t address) { - _address = address; - } - -private: - uint16_t _address; - uint32_t _frequency; - struct i2c_dev_s *_dev; -}; - -} // namespace device - -#endif /* _DEVICE_I2C_H */ diff --git a/apps/drivers/device/pio.cpp b/apps/drivers/device/pio.cpp deleted file mode 100644 index f3a805a5e..000000000 --- a/apps/drivers/device/pio.cpp +++ /dev/null @@ -1,74 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -/** - * @file pio.cpp - * - * Base class for devices accessed via PIO to registers. - */ - -#include "device.h" - -namespace device -{ - -PIO::PIO(const char *name, - const char *devname, - uint32_t base, - int irq) : - // base class - CDev(name, devname, irq), - // public - // protected - // private - _base(base) -{ -} - -PIO::~PIO() -{ - // nothing to do here... -} - -int -PIO::init() -{ - int ret = OK; - - // base class init first - ret = CDev::init(); - - return ret; -} - -} // namespace device \ No newline at end of file diff --git a/apps/drivers/device/spi.cpp b/apps/drivers/device/spi.cpp deleted file mode 100644 index 8fffd60cb..000000000 --- a/apps/drivers/device/spi.cpp +++ /dev/null @@ -1,160 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -/** - * @file spi.cpp - * - * Base class for devices connected via SPI. - * - * @todo Work out if caching the mode/frequency would save any time. - * - * @todo A separate bus/device abstraction would allow for mixed interrupt-mode - * and non-interrupt-mode clients to arbitrate for the bus. As things stand, - * a bus shared between clients of both kinds is vulnerable to races between - * the two, where an interrupt-mode client will ignore the lock held by the - * non-interrupt-mode client. - */ - -#include - -#include "spi.h" - -#ifndef CONFIG_SPI_EXCHANGE -# error This driver requires CONFIG_SPI_EXCHANGE -#endif - -namespace device -{ - -SPI::SPI(const char *name, - const char *devname, - int bus, - enum spi_dev_e device, - enum spi_mode_e mode, - uint32_t frequency, - int irq) : - // base class - CDev(name, devname, irq), - // public - // protected - // private - _bus(bus), - _device(device), - _mode(mode), - _frequency(frequency), - _dev(nullptr) -{ -} - -SPI::~SPI() -{ - // XXX no way to let go of the bus... -} - -int -SPI::init() -{ - int ret = OK; - - /* attach to the spi bus */ - if (_dev == nullptr) - _dev = up_spiinitialize(_bus); - - if (_dev == nullptr) { - debug("failed to init SPI"); - ret = -ENOENT; - goto out; - } - - /* deselect device to ensure high to low transition of pin select */ - SPI_SELECT(_dev, _device, false); - - /* call the probe function to check whether the device is present */ - ret = probe(); - - if (ret != OK) { - debug("probe failed"); - goto out; - } - - /* do base class init, which will create the device node, etc. */ - ret = CDev::init(); - - if (ret != OK) { - debug("cdev init failed"); - goto out; - } - - /* tell the workd where we are */ - log("on SPI bus %d at %d", _bus, _device); - -out: - return ret; -} - -int -SPI::probe() -{ - // assume the device is too stupid to be discoverable - return OK; -} - -int -SPI::transfer(uint8_t *send, uint8_t *recv, unsigned len) -{ - - if ((send == nullptr) && (recv == nullptr)) - return -EINVAL; - - /* do common setup */ - if (!up_interrupt_context()) - SPI_LOCK(_dev, true); - - SPI_SETFREQUENCY(_dev, _frequency); - SPI_SETMODE(_dev, _mode); - SPI_SETBITS(_dev, 8); - SPI_SELECT(_dev, _device, true); - - /* do the transfer */ - SPI_EXCHANGE(_dev, send, recv, len); - - /* and clean up */ - SPI_SELECT(_dev, _device, false); - - if (!up_interrupt_context()) - SPI_LOCK(_dev, false); - - return OK; -} - -} // namespace device diff --git a/apps/drivers/device/spi.h b/apps/drivers/device/spi.h deleted file mode 100644 index d2d01efb3..000000000 --- a/apps/drivers/device/spi.h +++ /dev/null @@ -1,114 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -/** - * @file spi.h - * - * Base class for devices connected via SPI. - */ - -#ifndef _DEVICE_SPI_H -#define _DEVICE_SPI_H - -#include "device.h" - -#include - -namespace device __EXPORT -{ - -/** - * Abstract class for character device on SPI - */ -class __EXPORT SPI : public CDev -{ -protected: - /** - * Constructor - * - * @param name Driver name - * @param devname Device node name - * @param bus SPI bus on which the device lives - * @param device Device handle (used by SPI_SELECT) - * @param mode SPI clock/data mode - * @param frequency SPI clock frequency - * @param irq Interrupt assigned to the device (or zero if none) - */ - SPI(const char *name, - const char *devname, - int bus, - enum spi_dev_e device, - enum spi_mode_e mode, - uint32_t frequency, - int irq = 0); - ~SPI(); - - virtual int init(); - - /** - * Check for the presence of the device on the bus. - */ - virtual int probe(); - - /** - * Perform a SPI transfer. - * - * If called from interrupt context, this interface does not lock - * the bus and may interfere with non-interrupt-context callers. - * - * Clients in a mixed interrupt/non-interrupt configuration must - * ensure appropriate interlocking. - * - * At least one of send or recv must be non-null. - * - * @param send Bytes to send to the device, or nullptr if - * no data is to be sent. - * @param recv Buffer for receiving bytes from the device, - * or nullptr if no bytes are to be received. - * @param len Number of bytes to transfer. - * @return OK if the exchange was successful, -errno - * otherwise. - */ - int transfer(uint8_t *send, uint8_t *recv, unsigned len); - -private: - int _bus; - enum spi_dev_e _device; - enum spi_mode_e _mode; - uint32_t _frequency; - struct spi_dev_s *_dev; -}; - -} // namespace device - -#endif /* _DEVICE_SPI_H */ diff --git a/apps/drivers/drv_accel.h b/apps/drivers/drv_accel.h deleted file mode 100644 index 794de584b..000000000 --- a/apps/drivers/drv_accel.h +++ /dev/null @@ -1,121 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -/** - * @file Accelerometer driver interface. - */ - -#ifndef _DRV_ACCEL_H -#define _DRV_ACCEL_H - -#include -#include - -#include "drv_sensor.h" -#include "drv_orb_dev.h" - -#define ACCEL_DEVICE_PATH "/dev/accel" - -/** - * accel report structure. Reads from the device must be in multiples of this - * structure. - */ -struct accel_report { - uint64_t timestamp; - float x; /**< acceleration in the NED X board axis in m/s^2 */ - float y; /**< acceleration in the NED Y board axis in m/s^2 */ - float z; /**< acceleration in the NED Z board axis in m/s^2 */ - float temperature; /**< temperature in degrees celsius */ - float range_m_s2; /**< range in m/s^2 (+- this value) */ - float scaling; - - int16_t x_raw; - int16_t y_raw; - int16_t z_raw; - int16_t temperature_raw; -}; - -/** accel scaling factors; Vout = (Vin * Vscale) + Voffset */ -struct accel_scale { - float x_offset; - float x_scale; - float y_offset; - float y_scale; - float z_offset; - float z_scale; -}; - -/* - * ObjDev tag for raw accelerometer data. - */ -ORB_DECLARE(sensor_accel); - -/* - * ioctl() definitions - * - * Accelerometer drivers also implement the generic sensor driver - * interfaces from drv_sensor.h - */ - -#define _ACCELIOCBASE (0x2100) -#define _ACCELIOC(_n) (_IOC(_ACCELIOCBASE, _n)) - - -/** set the accel internal sample rate to at least (arg) Hz */ -#define ACCELIOCSSAMPLERATE _ACCELIOC(0) - -/** return the accel internal sample rate in Hz */ -#define ACCELIOCGSAMPLERATE _ACCELIOC(1) - -/** set the accel internal lowpass filter to no lower than (arg) Hz */ -#define ACCELIOCSLOWPASS _ACCELIOC(2) - -/** return the accel internal lowpass filter in Hz */ -#define ACCELIOCGLOWPASS _ACCELIOC(3) - -/** set the accel scaling constants to the structure pointed to by (arg) */ -#define ACCELIOCSSCALE _ACCELIOC(5) - -/** get the accel scaling constants into the structure pointed to by (arg) */ -#define ACCELIOCGSCALE _ACCELIOC(6) - -/** set the accel measurement range to handle at least (arg) g */ -#define ACCELIOCSRANGE _ACCELIOC(7) - -/** get the current accel measurement range in g */ -#define ACCELIOCGRANGE _ACCELIOC(8) - -/** get the result of a sensor self-test */ -#define ACCELIOCSELFTEST _ACCELIOC(9) - -#endif /* _DRV_ACCEL_H */ diff --git a/apps/drivers/drv_adc.h b/apps/drivers/drv_adc.h deleted file mode 100644 index 8ec6d1233..000000000 --- a/apps/drivers/drv_adc.h +++ /dev/null @@ -1,52 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -/** - * @file drv_adc.h - * - * ADC driver interface. - * - * This defines additional operations over and above the standard NuttX - * ADC API. - */ - -#pragma once - -#include -#include - -#define ADC_DEVICE_PATH "/dev/adc0" - -/* - * ioctl definitions - */ diff --git a/apps/drivers/drv_baro.h b/apps/drivers/drv_baro.h deleted file mode 100644 index 176f798c0..000000000 --- a/apps/drivers/drv_baro.h +++ /dev/null @@ -1,78 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -/** - * @file Barometric pressure sensor driver interface. - */ - -#ifndef _DRV_BARO_H -#define _DRV_BARO_H - -#include -#include - -#include "drv_sensor.h" -#include "drv_orb_dev.h" - -#define BARO_DEVICE_PATH "/dev/baro" - -/** - * baro report structure. Reads from the device must be in multiples of this - * structure. - */ -struct baro_report { - float pressure; - float altitude; - float temperature; - uint64_t timestamp; -}; - -/* - * ObjDev tag for raw barometer data. - */ -ORB_DECLARE(sensor_baro); - -/* - * ioctl() definitions - */ - -#define _BAROIOCBASE (0x2200) -#define _BAROIOC(_n) (_IOC(_BAROIOCBASE, _n)) - -/** set corrected MSL pressure in pascals */ -#define BAROIOCSMSLPRESSURE _BAROIOC(0) - -/** get current MSL pressure in pascals */ -#define BAROIOCGMSLPRESSURE _BAROIOC(1) - -#endif /* _DRV_BARO_H */ diff --git a/apps/drivers/drv_blinkm.h b/apps/drivers/drv_blinkm.h deleted file mode 100644 index 9c278f6c5..000000000 --- a/apps/drivers/drv_blinkm.h +++ /dev/null @@ -1,69 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -/** - * @file drv_blinkm.h - * - * BlinkM driver API - * - * This could probably become a more generalised API for multi-colour LED - * driver systems, or be merged with the generic LED driver. - */ - -#pragma once - -#include -#include - -#define BLINKM_DEVICE_PATH "/dev/blinkm" - -/* - * ioctl() definitions - */ - -#define _BLINKMIOCBASE (0x2900) -#define _BLINKMIOC(_n) (_IOC(_BLINKMIOCBASE, _n)) - -/** play the named script in *(char *)arg, repeating forever */ -#define BLINKM_PLAY_SCRIPT_NAMED _BLINKMIOC(1) - -/** play the numbered script in (arg), repeating forever */ -#define BLINKM_PLAY_SCRIPT _BLINKMIOC(2) - -/** - * Set the user script; (arg) is a pointer to an array of script lines, - * where each line is an array of four bytes giving , , arg[0-2] - * - * The script is terminated by a zero command. - */ -#define BLINKM_SET_USER_SCRIPT _BLINKMIOC(3) diff --git a/apps/drivers/drv_gpio.h b/apps/drivers/drv_gpio.h deleted file mode 100644 index 92d184326..000000000 --- a/apps/drivers/drv_gpio.h +++ /dev/null @@ -1,148 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -/** - * @file drv_gpio.h - * - * Generic GPIO ioctl interface. - */ - -#ifndef _DRV_GPIO_H -#define _DRV_GPIO_H - -#include - -#ifdef CONFIG_ARCH_BOARD_PX4FMU -/* - * PX4FMU GPIO numbers. - * - * For shared pins, alternate function 1 selects the non-GPIO mode - * (USART2, CAN2, etc.) - */ -# define GPIO_EXT_1 (1<<0) /**< high-power GPIO 1 */ -# define GPIO_EXT_2 (1<<1) /**< high-power GPIO 1 */ -# define GPIO_MULTI_1 (1<<2) /**< USART2 CTS */ -# define GPIO_MULTI_2 (1<<3) /**< USART2 RTS */ -# define GPIO_MULTI_3 (1<<4) /**< USART2 TX */ -# define GPIO_MULTI_4 (1<<5) /**< USART2 RX */ -# define GPIO_CAN_TX (1<<6) /**< CAN2 TX */ -# define GPIO_CAN_RX (1<<7) /**< CAN2 RX */ - -/** - * Default GPIO device - other devices may also support this protocol if - * they also export GPIO-like things. This is always the GPIOs on the - * main board. - */ -# define GPIO_DEVICE_PATH "/dev/px4fmu" - -#endif - -#ifdef CONFIG_ARCH_BOARD_PX4IO -/* - * PX4IO GPIO numbers. - * - * XXX note that these are here for reference/future use; currently - * there is no good way to wire these up without a common STM32 GPIO - * driver, which isn't implemented yet. - */ -/* outputs */ -# define GPIO_ACC1_POWER (1<<0) /**< accessory power 1 */ -# define GPIO_ACC2_POWER (1<<1) /**< accessory power 2 */ -# define GPIO_SERVO_POWER (1<<2) /**< servo power */ -# define GPIO_RELAY1 (1<<3) /**< relay 1 */ -# define GPIO_RELAY2 (1<<4) /**< relay 2 */ -# define GPIO_LED_BLUE (1<<5) /**< blue LED */ -# define GPIO_LED_AMBER (1<<6) /**< amber/red LED */ -# define GPIO_LED_SAFETY (1<<7) /**< safety LED */ - -/* inputs */ -# define GPIO_ACC_OVERCURRENT (1<<8) /**< accessory 1/2 overcurrent detect */ -# define GPIO_SERVO_OVERCURRENT (1<<9) /**< servo overcurrent detect */ -# define GPIO_SAFETY_BUTTON (1<<10) /**< safety button pressed */ - -/** - * Default GPIO device - other devices may also support this protocol if - * they also export GPIO-like things. This is always the GPIOs on the - * main board. - */ -# define GPIO_DEVICE_PATH "/dev/px4io" - -#endif - -#ifndef GPIO_DEVICE_PATH -# error No GPIO support for this board. -#endif - -/* - * IOCTL definitions. - * - * For all ioctls, the (arg) argument is a bitmask of GPIOs to be affected - * by the operation, with the LSB being the lowest-numbered GPIO. - * - * Note that there may be board-specific relationships between GPIOs; - * applications using GPIOs should be aware of this. - */ -#define _GPIOCBASE 0x2700 -#define GPIOC(_x) _IOC(_GPIOCBASE, _x) - -/** reset all board GPIOs to their default state */ -#define GPIO_RESET GPIOC(0) - -/** configure the board GPIOs in (arg) as outputs */ -#define GPIO_SET_OUTPUT GPIOC(1) - -/** configure the board GPIOs in (arg) as inputs */ -#define GPIO_SET_INPUT GPIOC(2) - -/** configure the board GPIOs in (arg) for the first alternate function (if supported) */ -#define GPIO_SET_ALT_1 GPIOC(3) - -/** configure the board GPIO (arg) for the second alternate function (if supported) */ -#define GPIO_SET_ALT_2 GPIOC(4) - -/** configure the board GPIO (arg) for the third alternate function (if supported) */ -#define GPIO_SET_ALT_3 GPIOC(5) - -/** configure the board GPIO (arg) for the fourth alternate function (if supported) */ -#define GPIO_SET_ALT_4 GPIOC(6) - -/** set the GPIOs in (arg) */ -#define GPIO_SET GPIOC(10) - -/** clear the GPIOs in (arg) */ -#define GPIO_CLEAR GPIOC(11) - -/** read all the GPIOs and return their values in *(uint32_t *)arg */ -#define GPIO_GET GPIOC(12) - -#endif /* _DRV_GPIO_H */ \ No newline at end of file diff --git a/apps/drivers/drv_gps.h b/apps/drivers/drv_gps.h deleted file mode 100644 index 1dda8ef0b..000000000 --- a/apps/drivers/drv_gps.h +++ /dev/null @@ -1,70 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -/** - * @file GPS driver interface. - */ - -#ifndef _DRV_GPS_H -#define _DRV_GPS_H - -#include -#include - -#include "drv_sensor.h" -#include "drv_orb_dev.h" - -#define GPS_DEFAULT_UART_PORT "/dev/ttyS3" - -#define GPS_DEVICE_PATH "/dev/gps" - -typedef enum { - GPS_DRIVER_MODE_NONE = 0, - GPS_DRIVER_MODE_UBX, - GPS_DRIVER_MODE_MTK, - GPS_DRIVER_MODE_NMEA, -} gps_driver_mode_t; - - -/* - * ObjDev tag for GPS data. - */ -ORB_DECLARE(gps); - -/* - * ioctl() definitions - */ -#define _GPSIOCBASE (0x2800) //TODO: arbitrary choice... -#define _GPSIOC(_n) (_IOC(_GPSIOCBASE, _n)) - -#endif /* _DRV_GPS_H */ diff --git a/apps/drivers/drv_gyro.h b/apps/drivers/drv_gyro.h deleted file mode 100644 index 1d0fef6fc..000000000 --- a/apps/drivers/drv_gyro.h +++ /dev/null @@ -1,117 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -/** - * @file Gyroscope driver interface. - */ - -#ifndef _DRV_GYRO_H -#define _DRV_GYRO_H - -#include -#include - -#include "drv_sensor.h" -#include "drv_orb_dev.h" - -#define GYRO_DEVICE_PATH "/dev/gyro" - -/** - * gyro report structure. Reads from the device must be in multiples of this - * structure. - */ -struct gyro_report { - uint64_t timestamp; - float x; /**< angular velocity in the NED X board axis in rad/s */ - float y; /**< angular velocity in the NED Y board axis in rad/s */ - float z; /**< angular velocity in the NED Z board axis in rad/s */ - float temperature; /**< temperature in degrees celcius */ - float range_rad_s; - float scaling; - - int16_t x_raw; - int16_t y_raw; - int16_t z_raw; - int16_t temperature_raw; -}; - -/** gyro scaling factors; Vout = (Vin * Vscale) + Voffset */ -struct gyro_scale { - float x_offset; - float x_scale; - float y_offset; - float y_scale; - float z_offset; - float z_scale; -}; - -/* - * ObjDev tag for raw gyro data. - */ -ORB_DECLARE(sensor_gyro); - -/* - * ioctl() definitions - */ - -#define _GYROIOCBASE (0x2300) -#define _GYROIOC(_n) (_IOC(_GYROIOCBASE, _n)) - -/** set the gyro internal sample rate to at least (arg) Hz */ -#define GYROIOCSSAMPLERATE _GYROIOC(0) - -/** return the gyro internal sample rate in Hz */ -#define GYROIOCGSAMPLERATE _GYROIOC(1) - -/** set the gyro internal lowpass filter to no lower than (arg) Hz */ -#define GYROIOCSLOWPASS _GYROIOC(2) - -/** set the gyro internal lowpass filter to no lower than (arg) Hz */ -#define GYROIOCGLOWPASS _GYROIOC(3) - -/** set the gyro scaling constants to (arg) */ -#define GYROIOCSSCALE _GYROIOC(4) - -/** get the gyro scaling constants into (arg) */ -#define GYROIOCGSCALE _GYROIOC(5) - -/** set the gyro measurement range to handle at least (arg) degrees per second */ -#define GYROIOCSRANGE _GYROIOC(6) - -/** get the current gyro measurement range in degrees per second */ -#define GYROIOCGRANGE _GYROIOC(7) - -/** check the status of the sensor */ -#define GYROIOCSELFTEST _GYROIOC(8) - -#endif /* _DRV_GYRO_H */ diff --git a/apps/drivers/drv_hrt.h b/apps/drivers/drv_hrt.h deleted file mode 100644 index 8a99eeca7..000000000 --- a/apps/drivers/drv_hrt.h +++ /dev/null @@ -1,149 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -/** - * @file drv_hrt.h - * - * High-resolution timer with callouts and timekeeping. - */ - -#pragma once - -#include -#include - -#include -#include - -__BEGIN_DECLS - -/* - * Absolute time, in microsecond units. - * - * Absolute time is measured from some arbitrary epoch shortly after - * system startup. It should never wrap or go backwards. - */ -typedef uint64_t hrt_abstime; - -/* - * Callout function type. - * - * Note that callouts run in the timer interrupt context, so - * they are serialised with respect to each other, and must not - * block. - */ -typedef void (* hrt_callout)(void *arg); - -/* - * Callout record. - */ -typedef struct hrt_call { - struct sq_entry_s link; - - hrt_abstime deadline; - hrt_abstime period; - hrt_callout callout; - void *arg; -} *hrt_call_t; - -/* - * Get absolute time. - */ -__EXPORT extern hrt_abstime hrt_absolute_time(void); - -/* - * Convert a timespec to absolute time. - */ -__EXPORT extern hrt_abstime ts_to_abstime(struct timespec *ts); - -/* - * Convert absolute time to a timespec. - */ -__EXPORT extern void abstime_to_ts(struct timespec *ts, hrt_abstime abstime); - -/* - * Compute the delta between a timestamp taken in the past - * and now. - * - * This function is safe to use even if the timestamp is updated - * by an interrupt during execution. - */ -__EXPORT extern hrt_abstime hrt_elapsed_time(const volatile hrt_abstime *then); - -/* - * Store the absolute time in an interrupt-safe fashion. - * - * This function ensures that the timestamp cannot be seen half-written by an interrupt handler. - */ -__EXPORT extern hrt_abstime hrt_store_absolute_time(volatile hrt_abstime *now); - -/* - * Call callout(arg) after delay has elapsed. - * - * If callout is NULL, this can be used to implement a timeout by testing the call - * with hrt_called(). - */ -__EXPORT extern void hrt_call_after(struct hrt_call *entry, hrt_abstime delay, hrt_callout callout, void *arg); - -/* - * Call callout(arg) at absolute time calltime. - */ -__EXPORT extern void hrt_call_at(struct hrt_call *entry, hrt_abstime calltime, hrt_callout callout, void *arg); - -/* - * Call callout(arg) after delay, and then after every interval. - * - * Note thet the interval is timed between scheduled, not actual, call times, so the call rate may - * jitter but should not drift. - */ -__EXPORT extern void hrt_call_every(struct hrt_call *entry, hrt_abstime delay, hrt_abstime interval, hrt_callout callout, void *arg); - -/* - * If this returns true, the entry has been invoked and removed from the callout list, - * or it has never been entered. - * - * Always returns false for repeating callouts. - */ -__EXPORT extern bool hrt_called(struct hrt_call *entry); - -/* - * Remove the entry from the callout list. - */ -__EXPORT extern void hrt_cancel(struct hrt_call *entry); - -/* - * Initialise the HRT. - */ -__EXPORT extern void hrt_init(void); - -__END_DECLS diff --git a/apps/drivers/drv_led.h b/apps/drivers/drv_led.h deleted file mode 100644 index 21044f620..000000000 --- a/apps/drivers/drv_led.h +++ /dev/null @@ -1,65 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -/** - * @file drv_led.h - * - * LED driver API - */ - -#pragma once - -#include -#include - -#define LED_DEVICE_PATH "/dev/led" - -#define _LED_BASE 0x2800 - -/* PX4 LED colour codes */ -#define LED_AMBER 1 -#define LED_RED 1 /* some boards have red rather than amber */ -#define LED_BLUE 0 -#define LED_SAFETY 2 - -#define LED_ON _IOC(_LED_BASE, 0) -#define LED_OFF _IOC(_LED_BASE, 1) - -__BEGIN_DECLS - -/* - * Initialise the LED driver. - */ -__EXPORT extern void drv_led_start(void); - -__END_DECLS diff --git a/apps/drivers/drv_mag.h b/apps/drivers/drv_mag.h deleted file mode 100644 index 9aab995a1..000000000 --- a/apps/drivers/drv_mag.h +++ /dev/null @@ -1,114 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -/** - * @file Magnetometer driver interface. - */ - -#ifndef _DRV_MAG_H -#define _DRV_MAG_H - -#include -#include - -#include "drv_sensor.h" -#include "drv_orb_dev.h" - -#define MAG_DEVICE_PATH "/dev/mag" - -/** - * mag report structure. Reads from the device must be in multiples of this - * structure. - * - * Output values are in gauss. - */ -struct mag_report { - uint64_t timestamp; - float x; - float y; - float z; - float range_ga; - float scaling; - - int16_t x_raw; - int16_t y_raw; - int16_t z_raw; -}; - -/** mag scaling factors; Vout = (Vin * Vscale) + Voffset */ -struct mag_scale { - float x_offset; - float x_scale; - float y_offset; - float y_scale; - float z_offset; - float z_scale; -}; - -/* - * ObjDev tag for raw magnetometer data. - */ -ORB_DECLARE(sensor_mag); - -/* - * ioctl() definitions - */ - -#define _MAGIOCBASE (0x2400) -#define _MAGIOC(_n) (_IOC(_MAGIOCBASE, _n)) - -/** set the mag internal sample rate to at least (arg) Hz */ -#define MAGIOCSSAMPLERATE _MAGIOC(0) - -/** set the mag internal lowpass filter to no lower than (arg) Hz */ -#define MAGIOCSLOWPASS _MAGIOC(1) - -/** set the mag scaling constants to the structure pointed to by (arg) */ -#define MAGIOCSSCALE _MAGIOC(2) - -/** copy the mag scaling constants to the structure pointed to by (arg) */ -#define MAGIOCGSCALE _MAGIOC(3) - -/** set the measurement range to handle (at least) arg Gauss */ -#define MAGIOCSRANGE _MAGIOC(4) - -/** perform self-calibration, update scale factors to canonical units */ -#define MAGIOCCALIBRATE _MAGIOC(5) - -/** excite strap */ -#define MAGIOCEXSTRAP _MAGIOC(6) - -/** perform self test and report status */ -#define MAGIOCSELFTEST _MAGIOC(7) - -#endif /* _DRV_MAG_H */ diff --git a/apps/drivers/drv_mixer.h b/apps/drivers/drv_mixer.h deleted file mode 100644 index 9f43015d9..000000000 --- a/apps/drivers/drv_mixer.h +++ /dev/null @@ -1,118 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -/** - * @file drv_mixer.h - * - * Mixer ioctl interfaces. - * - * Normal workflow is: - * - * - open mixer device - * - add mixer(s) - * loop: - * - mix actuators to array - * - * Each client has its own configuration. - * - * When mixing, outputs are produced by mixers in the order they are - * added. A simple mixer produces one output; a multotor mixer will - * produce several outputs, etc. - */ - -#ifndef _DRV_MIXER_H -#define _DRV_MIXER_H - -#include -#include - -#define MIXER_DEVICE_PATH "/dev/mixer" - -/* - * ioctl() definitions - */ -#define _MIXERIOCBASE (0x2500) -#define _MIXERIOC(_n) (_IOC(_MIXERIOCBASE, _n)) - -/** get the number of mixable outputs */ -#define MIXERIOCGETOUTPUTCOUNT _MIXERIOC(0) - -/** reset (clear) the mixer configuration */ -#define MIXERIOCRESET _MIXERIOC(1) - -/** simple channel scaler */ -struct mixer_scaler_s { - float negative_scale; - float positive_scale; - float offset; - float min_output; - float max_output; -}; - -/** mixer input */ -struct mixer_control_s { - uint8_t control_group; /**< group from which the input reads */ - uint8_t control_index; /**< index within the control group */ - struct mixer_scaler_s scaler; /**< scaling applied to the input before use */ -}; - -/** simple mixer */ -struct mixer_simple_s { - uint8_t control_count; /**< number of inputs */ - struct mixer_scaler_s output_scaler; /**< scaling for the output */ - struct mixer_control_s controls[0]; /**< actual size of the array is set by control_count */ -}; - -#define MIXER_SIMPLE_SIZE(_icount) (sizeof(struct mixer_simple_s) + (_icount) * sizeof(struct mixer_control_s)) - -/** - * add a simple mixer in (struct mixer_simple_s *)arg - */ -#define MIXERIOCADDSIMPLE _MIXERIOC(2) - -/* _MIXERIOC(3) was deprecated */ -/* _MIXERIOC(4) was deprecated */ - -/** - * Add mixer(s) from the buffer in (const char *)arg - */ -#define MIXERIOCLOADBUF _MIXERIOC(5) - -/* - * XXX Thoughts for additional operations: - * - * - get/set output scale, for tuning center/limit values. - * - save/serialise for saving tuned mixers. - */ - -#endif /* _DRV_ACCEL_H */ diff --git a/apps/drivers/drv_orb_dev.h b/apps/drivers/drv_orb_dev.h deleted file mode 100644 index 8495780d5..000000000 --- a/apps/drivers/drv_orb_dev.h +++ /dev/null @@ -1,87 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -#ifndef _DRV_UORB_H -#define _DRV_UORB_H - -/** - * @file uORB published object driver. - */ - -#include -#include -#include - -/* XXX for ORB_DECLARE used in many drivers */ -#include "../uORB/uORB.h" - -/* - * ioctl() definitions - */ - -/** path to the uORB control device for pub/sub topics */ -#define TOPIC_MASTER_DEVICE_PATH "/obj/_obj_" - -/** path to the uORB control device for parameter topics */ -#define PARAM_MASTER_DEVICE_PATH "/param/_param_" - -/** maximum ogbject name length */ -#define ORB_MAXNAME 32 - -#define _ORBIOCBASE (0x2600) -#define _ORBIOC(_n) (_IOC(_ORBIOCBASE, _n)) - -/* - * IOCTLs for the uORB control device - */ - -/** Advertise a new topic described by *(uorb_metadata *)arg */ -#define ORBIOCADVERTISE _ORBIOC(0) - -/* - * IOCTLs for individual topics. - */ - -/** Fetch the time at which the topic was last updated into *(uint64_t *)arg */ -#define ORBIOCLASTUPDATE _ORBIOC(10) - -/** Check whether the topic has been updated since it was last read, sets *(bool *)arg */ -#define ORBIOCUPDATED _ORBIOC(11) - -/** Set the minimum interval at which the topic can be seen to be updated for this subscription */ -#define ORBIOCSETINTERVAL _ORBIOC(12) - -/** Get the global advertiser handle for the topic */ -#define ORBIOCGADVERTISER _ORBIOC(13) - -#endif /* _DRV_UORB_H */ diff --git a/apps/drivers/drv_pwm_output.h b/apps/drivers/drv_pwm_output.h deleted file mode 100644 index 07831f20c..000000000 --- a/apps/drivers/drv_pwm_output.h +++ /dev/null @@ -1,201 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -/** - * @file PWM servo output interface. - * - * Servo values can be set with the PWM_SERVO_SET ioctl, by writing a - * pwm_output_values structure to the device, or by publishing to the - * output_pwm ORB topic. - * Writing a value of 0 to a channel suppresses any output for that - * channel. - */ - -#pragma once - -#include -#include - -#include "drv_orb_dev.h" - -__BEGIN_DECLS - -/** - * Path for the default PWM output device. - * - * Note that on systems with more than one PWM output path (e.g. - * PX4FMU with PX4IO connected) there may be other devices that - * respond to this protocol. - */ -#define PWM_OUTPUT_DEVICE_PATH "/dev/pwm_output" - -/** - * Maximum number of PWM output channels supported by the device. - */ -#define PWM_OUTPUT_MAX_CHANNELS 16 - -/** - * Servo output signal type, value is actual servo output pulse - * width in microseconds. - */ -typedef uint16_t servo_position_t; - -/** - * Servo output status structure. - * - * May be published to output_pwm, or written to a PWM output - * device. - */ -struct pwm_output_values { - /** desired pulse widths for each of the supported channels */ - servo_position_t values[PWM_OUTPUT_MAX_CHANNELS]; -}; - -/* - * ORB tag for PWM outputs. - */ -ORB_DECLARE(output_pwm); - -/* - * ioctl() definitions - * - * Note that ioctls and ORB updates should not be mixed, as the - * behaviour of the system in this case is not defined. - */ -#define _PWM_SERVO_BASE 0x2a00 - -/** arm all servo outputs handle by this driver */ -#define PWM_SERVO_ARM _IOC(_PWM_SERVO_BASE, 0) - -/** disarm all servo outputs (stop generating pulses) */ -#define PWM_SERVO_DISARM _IOC(_PWM_SERVO_BASE, 1) - -/** set alternate servo update rate */ -#define PWM_SERVO_SET_UPDATE_RATE _IOC(_PWM_SERVO_BASE, 2) - -/** get the number of servos in *(unsigned *)arg */ -#define PWM_SERVO_GET_COUNT _IOC(_PWM_SERVO_BASE, 3) - -/** selects servo update rates, one bit per servo. 0 = default (50Hz), 1 = alternate */ -#define PWM_SERVO_SELECT_UPDATE_RATE _IOC(_PWM_SERVO_BASE, 4) - -/** set a single servo to a specific value */ -#define PWM_SERVO_SET(_servo) _IOC(_PWM_SERVO_BASE, 0x20 + _servo) - -/** get a single specific servo value */ -#define PWM_SERVO_GET(_servo) _IOC(_PWM_SERVO_BASE, 0x40 + _servo) - -/** get the _n'th rate group's channels; *(uint32_t *)arg returns a bitmap of channels - * whose update rates must be the same. - */ -#define PWM_SERVO_GET_RATEGROUP(_n) _IOC(_PWM_SERVO_BASE, 0x60 + _n) - -/* - * Low-level PWM output interface. - * - * This is the low-level API to the platform-specific PWM driver. - */ - -/** - * Intialise the PWM servo outputs using the specified configuration. - * - * @param channel_mask Bitmask of channels (LSB = channel 0) to enable. - * This allows some of the channels to remain configured - * as GPIOs or as another function. - * @return OK on success. - */ -__EXPORT extern int up_pwm_servo_init(uint32_t channel_mask); - -/** - * De-initialise the PWM servo outputs. - */ -__EXPORT extern void up_pwm_servo_deinit(void); - -/** - * Arm or disarm servo outputs. - * - * When disarmed, servos output no pulse. - * - * @bug This function should, but does not, guarantee that any pulse - * currently in progress is cleanly completed. - * - * @param armed If true, outputs are armed; if false they - * are disarmed. - */ -__EXPORT extern void up_pwm_servo_arm(bool armed); - -/** - * Set the servo update rate for all rate groups. - * - * @param rate The update rate in Hz to set. - * @return OK on success, -ERANGE if an unsupported update rate is set. - */ -__EXPORT extern int up_pwm_servo_set_rate(unsigned rate); - -/** - * Get a bitmap of output channels assigned to a given rate group. - * - * @param group The rate group to query. Rate groups are assigned contiguously - * starting from zero. - * @return A bitmap of channels assigned to the rate group, or zero if - * the group number has no channels. - */ -__EXPORT extern uint32_t up_pwm_servo_get_rate_group(unsigned group); - -/** - * Set the update rate for a given rate group. - * - * @param group The rate group whose update rate will be changed. - * @param rate The update rate in Hz. - * @return OK if the group was adjusted, -ERANGE if an unsupported update rate is set. - */ -__EXPORT extern int up_pwm_servo_set_rate_group_update(unsigned group, unsigned rate); - -/** - * Set the current output value for a channel. - * - * @param channel The channel to set. - * @param value The output pulse width in microseconds. - */ -__EXPORT extern int up_pwm_servo_set(unsigned channel, servo_position_t value); - -/** - * Get the current output value for a channel. - * - * @param channel The channel to read. - * @return The output pulse width in microseconds, or zero if - * outputs are not armed or not configured. - */ -__EXPORT extern servo_position_t up_pwm_servo_get(unsigned channel); - -__END_DECLS diff --git a/apps/drivers/drv_range_finder.h b/apps/drivers/drv_range_finder.h deleted file mode 100644 index 03a82ec5d..000000000 --- a/apps/drivers/drv_range_finder.h +++ /dev/null @@ -1,81 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2013 PX4 Development Team. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -/** - * @file Rangefinder driver interface. - */ - -#ifndef _DRV_RANGEFINDER_H -#define _DRV_RANGEFINDER_H - -#include -#include - -#include "drv_sensor.h" -#include "drv_orb_dev.h" - -#define RANGE_FINDER_DEVICE_PATH "/dev/range_finder" - -/** - * range finder report structure. Reads from the device must be in multiples of this - * structure. - */ -struct range_finder_report { - uint64_t timestamp; - float distance; /** in meters */ - uint8_t valid; /** 1 == within sensor range, 0 = outside sensor range */ -}; - -/* - * ObjDev tag for raw range finder data. - */ -ORB_DECLARE(sensor_range_finder); - -/* - * ioctl() definitions - * - * Rangefinder drivers also implement the generic sensor driver - * interfaces from drv_sensor.h - */ - -#define _RANGEFINDERIOCBASE (0x7900) -#define __RANGEFINDERIOC(_n) (_IOC(_RANGEFINDERIOCBASE, _n)) - -/** set the minimum effective distance of the device */ -#define RANGEFINDERIOCSETMINIUMDISTANCE __RANGEFINDERIOC(1) - -/** set the maximum effective distance of the device */ -#define RANGEFINDERIOCSETMAXIUMDISTANCE __RANGEFINDERIOC(2) - - -#endif /* _DRV_RANGEFINDER_H */ diff --git a/apps/drivers/drv_rc_input.h b/apps/drivers/drv_rc_input.h deleted file mode 100644 index 4decc324e..000000000 --- a/apps/drivers/drv_rc_input.h +++ /dev/null @@ -1,110 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -/** - * @file R/C input interface. - * - */ - -#ifndef _DRV_RC_INPUT_H -#define _DRV_RC_INPUT_H - -#include -#include - -#include "drv_orb_dev.h" - -/** - * Path for the default R/C input device. - * - * Note that on systems with more than one R/C input path (e.g. - * PX4FMU with PX4IO connected) there may be other devices that - * respond to this protocol. - * - * Input data may be obtained by subscribing to the input_rc - * object, or by poll/reading from the device. - */ -#define RC_INPUT_DEVICE_PATH "/dev/input_rc" - -/** - * Maximum number of R/C input channels in the system. S.Bus has up to 18 channels. - */ -#define RC_INPUT_MAX_CHANNELS 18 - -/** - * Input signal type, value is a control position from zero to 100 - * percent. - */ -typedef uint16_t rc_input_t; - -enum RC_INPUT_SOURCE { - RC_INPUT_SOURCE_UNKNOWN = 0, - RC_INPUT_SOURCE_PX4FMU_PPM, - RC_INPUT_SOURCE_PX4IO_PPM, - RC_INPUT_SOURCE_PX4IO_SPEKTRUM, - RC_INPUT_SOURCE_PX4IO_SBUS -}; - -/** - * R/C input status structure. - * - * Published to input_rc, may also be published to other names depending - * on the board involved. - */ -struct rc_input_values { - /** decoding time */ - uint64_t timestamp; - - /** number of channels actually being seen */ - uint32_t channel_count; - - /** Input source */ - enum RC_INPUT_SOURCE input_source; - - /** measured pulse widths for each of the supported channels */ - rc_input_t values[RC_INPUT_MAX_CHANNELS]; -}; - -/* - * ObjDev tag for R/C inputs. - */ -ORB_DECLARE(input_rc); - -#define _RC_INPUT_BASE 0x2b00 - -/** Fetch R/C input values into (rc_input_values *)arg */ - -#define RC_INPUT_GET _IOC(_RC_INPUT_BASE, 0) - - -#endif /* _DRV_RC_INPUT_H */ diff --git a/apps/drivers/drv_sensor.h b/apps/drivers/drv_sensor.h deleted file mode 100644 index 3a89cab9d..000000000 --- a/apps/drivers/drv_sensor.h +++ /dev/null @@ -1,87 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -/** - * @file Common sensor API and ioctl definitions. - */ - -#ifndef _DRV_SENSOR_H -#define _DRV_SENSOR_H - -#include -#include - -/* - * ioctl() definitions - * - * Note that a driver may not implement all of these operations, but - * if the operation is implemented it should conform to this API. - */ - -#define _SENSORIOCBASE (0x2000) -#define _SENSORIOC(_n) (_IOC(_SENSORIOCBASE, _n)) - -/** - * Set the driver polling rate to (arg) Hz, or one of the SENSOR_POLLRATE - * constants - */ -#define SENSORIOCSPOLLRATE _SENSORIOC(0) - -/** - * Return the driver's approximate polling rate in Hz, or one of the - * SENSOR_POLLRATE values. - */ -#define SENSORIOCGPOLLRATE _SENSORIOC(1) - -#define SENSOR_POLLRATE_MANUAL 1000000 /**< poll when read */ -#define SENSOR_POLLRATE_EXTERNAL 1000001 /**< poll when device signals ready */ -#define SENSOR_POLLRATE_MAX 1000002 /**< poll at device maximum rate */ -#define SENSOR_POLLRATE_DEFAULT 1000003 /**< poll at driver normal rate */ - -/** - * Set the internal queue depth to (arg) entries, must be at least 1 - * - * This sets the upper bound on the number of readings that can be - * read from the driver. - */ -#define SENSORIOCSQUEUEDEPTH _SENSORIOC(2) - -/** return the internal queue depth */ -#define SENSORIOCGQUEUEDEPTH _SENSORIOC(3) - -/** - * Reset the sensor to its default configuration. - */ -#define SENSORIOCRESET _SENSORIOC(4) - -#endif /* _DRV_SENSOR_H */ \ No newline at end of file diff --git a/apps/drivers/drv_tone_alarm.h b/apps/drivers/drv_tone_alarm.h deleted file mode 100644 index 0c6afc64c..000000000 --- a/apps/drivers/drv_tone_alarm.h +++ /dev/null @@ -1,128 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -/* - * Driver for the PX4 audio alarm port, /dev/tone_alarm. - * - * The tone_alarm driver supports a set of predefined "alarm" - * patterns and one user-supplied pattern. Patterns are ordered by - * priority, with a higher-priority pattern interrupting any - * lower-priority pattern that might be playing. - * - * The TONE_SET_ALARM ioctl can be used to select a predefined - * alarm pattern, from 1 - . Selecting pattern zero silences - * the alarm. - * - * To supply a custom pattern, write an array of 1 - tone_note - * structures to /dev/tone_alarm. The custom pattern has a priority - * of zero. - * - * Patterns will normally play once and then silence (if a pattern - * was overridden it will not resume). A pattern may be made to - * repeat by inserting a note with the duration set to - * DURATION_REPEAT. This pattern will loop until either a - * higher-priority pattern is started or pattern zero is requested - * via the ioctl. - */ - -#ifndef DRV_TONE_ALARM_H_ -#define DRV_TONE_ALARM_H_ - -#include - -#define _TONE_ALARM_BASE 0x7400 -#define TONE_SET_ALARM _IOC(_TONE_ALARM_BASE, 1) - -/* structure describing one note in a tone pattern */ -struct tone_note { - uint8_t pitch; - uint8_t duration; /* duration in multiples of 10ms */ -#define DURATION_END 0 /* ends the pattern */ -#define DURATION_REPEAT 255 /* resets the note counter to zero */ -}; - -enum tone_pitch { - TONE_NOTE_E4, /* E4 */ - TONE_NOTE_F4, /* F4 */ - TONE_NOTE_F4S, /* F#4/Gb4 */ - TONE_NOTE_G4, /* G4 */ - TONE_NOTE_G4S, /* G#4/Ab4 */ - TONE_NOTE_A4, /* A4 */ - TONE_NOTE_A4S, /* A#4/Bb4 */ - TONE_NOTE_B4, /* B4 */ - TONE_NOTE_C5, /* C5 */ - TONE_NOTE_C5S, /* C#5/Db5 */ - TONE_NOTE_D5, /* D5 */ - TONE_NOTE_D5S, /* D#5/Eb5 */ - TONE_NOTE_E5, /* E5 */ - TONE_NOTE_F5, /* F5 */ - TONE_NOTE_F5S, /* F#5/Gb5 */ - TONE_NOTE_G5, /* G5 */ - TONE_NOTE_G5S, /* G#5/Ab5 */ - TONE_NOTE_A5, /* A5 */ - TONE_NOTE_A5S, /* A#5/Bb5 */ - TONE_NOTE_B5, /* B5 */ - TONE_NOTE_C6, /* C6 */ - TONE_NOTE_C6S, /* C#6/Db6 */ - TONE_NOTE_D6, /* D6 */ - TONE_NOTE_D6S, /* D#6/Eb6 */ - TONE_NOTE_E6, /* E6 */ - TONE_NOTE_F6, /* F6 */ - TONE_NOTE_F6S, /* F#6/Gb6 */ - TONE_NOTE_G6, /* G6 */ - TONE_NOTE_G6S, /* G#6/Ab6 */ - TONE_NOTE_A6, /* A6 */ - TONE_NOTE_A6S, /* A#6/Bb6 */ - TONE_NOTE_B6, /* B6 */ - TONE_NOTE_C7, /* C7 */ - TONE_NOTE_C7S, /* C#7/Db7 */ - TONE_NOTE_D7, /* D7 */ - TONE_NOTE_D7S, /* D#7/Eb7 */ - TONE_NOTE_E7, /* E7 */ - TONE_NOTE_F7, /* F7 */ - TONE_NOTE_F7S, /* F#7/Gb7 */ - TONE_NOTE_G7, /* G7 */ - TONE_NOTE_G7S, /* G#7/Ab7 */ - TONE_NOTE_A7, /* A7 */ - TONE_NOTE_A7S, /* A#7/Bb7 */ - TONE_NOTE_B7, /* B7 */ - TONE_NOTE_C8, /* C8 */ - TONE_NOTE_C8S, /* C#8/Db8 */ - TONE_NOTE_D8, /* D8 */ - TONE_NOTE_D8S, /* D#8/Eb8 */ - - TONE_NOTE_SILENCE, - TONE_NOTE_MAX -}; - -#endif /* DRV_TONE_ALARM_H_ */ diff --git a/apps/drivers/led/Makefile b/apps/drivers/led/Makefile deleted file mode 100644 index 7de188259..000000000 --- a/apps/drivers/led/Makefile +++ /dev/null @@ -1,38 +0,0 @@ -############################################################################ -# -# Copyright (C) 2012 PX4 Development Team. All rights reserved. -# -# Redistribution and use in source and binary forms, with or without -# modification, are permitted provided that the following conditions -# are met: -# -# 1. Redistributions of source code must retain the above copyright -# notice, this list of conditions and the following disclaimer. -# 2. Redistributions in binary form must reproduce the above copyright -# notice, this list of conditions and the following disclaimer in -# the documentation and/or other materials provided with the -# distribution. -# 3. Neither the name PX4 nor the names of its contributors may be -# used to endorse or promote products derived from this software -# without specific prior written permission. -# -# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -# "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -# LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -# FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -# COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -# INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -# BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS -# OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED -# AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -# LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -# ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -# POSSIBILITY OF SUCH DAMAGE. -# -############################################################################ - -# -# Makefile to build the LED driver. -# - -include $(APPDIR)/mk/app.mk diff --git a/apps/drivers/led/led.cpp b/apps/drivers/led/led.cpp deleted file mode 100644 index c7c45525e..000000000 --- a/apps/drivers/led/led.cpp +++ /dev/null @@ -1,115 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -/** - * @file led.cpp - * - * LED driver. - */ - -#include -#include -#include - -/* Ideally we'd be able to get these from up_internal.h */ -//#include -__BEGIN_DECLS -extern void up_ledinit(); -extern void up_ledon(int led); -extern void up_ledoff(int led); -__END_DECLS - -class LED : device::CDev -{ -public: - LED(); - virtual ~LED(); - - virtual int init(); - virtual int ioctl(struct file *filp, int cmd, unsigned long arg); -}; - -LED::LED() : - CDev("led", LED_DEVICE_PATH) -{ - // force immediate init/device registration - init(); -} - -LED::~LED() -{ -} - -int -LED::init() -{ - CDev::init(); - up_ledinit(); - - return 0; -} - -int -LED::ioctl(struct file *filp, int cmd, unsigned long arg) -{ - int result = OK; - - switch (cmd) { - case LED_ON: - up_ledon(arg); - break; - - case LED_OFF: - up_ledoff(arg); - break; - - default: - result = CDev::ioctl(filp, cmd, arg); - } - return result; -} - -namespace -{ -LED *gLED; -} - -void -drv_led_start() -{ - if (gLED == nullptr) { - gLED = new LED; - if (gLED != nullptr) - gLED->init(); - } -} \ No newline at end of file diff --git a/apps/examples/math_demo/Makefile b/apps/examples/math_demo/Makefile deleted file mode 100644 index a1105899a..000000000 --- a/apps/examples/math_demo/Makefile +++ /dev/null @@ -1,42 +0,0 @@ -############################################################################ -# -# Copyright (C) 2012 PX4 Development Team. All rights reserved. -# -# Redistribution and use in source and binary forms, with or without -# modification, are permitted provided that the following conditions -# are met: -# -# 1. Redistributions of source code must retain the above copyright -# notice, this list of conditions and the following disclaimer. -# 2. Redistributions in binary form must reproduce the above copyright -# notice, this list of conditions and the following disclaimer in -# the documentation and/or other materials provided with the -# distribution. -# 3. Neither the name PX4 nor the names of its contributors may be -# used to endorse or promote products derived from this software -# without specific prior written permission. -# -# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -# "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -# LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -# FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -# COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -# INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -# BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS -# OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED -# AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -# LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -# ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -# POSSIBILITY OF SUCH DAMAGE. -# -############################################################################ - -# -# Basic example application -# - -APPNAME = math_demo -PRIORITY = SCHED_PRIORITY_DEFAULT -STACKSIZE = 8192 - -include $(APPDIR)/mk/app.mk diff --git a/apps/examples/math_demo/math_demo.cpp b/apps/examples/math_demo/math_demo.cpp deleted file mode 100644 index a9c556748..000000000 --- a/apps/examples/math_demo/math_demo.cpp +++ /dev/null @@ -1,105 +0,0 @@ -/**************************************************************************** - * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. - * Author: @author Example User - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * 3. Neither the name PX4 nor the names of its contributors may be - * used to endorse or promote products derived from this software - * without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS - * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE - * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, - * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, - * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS - * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED - * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN - * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - * - ****************************************************************************/ - -/** - * @file math_demo.cpp - * Demonstration of math library - */ - -#include -#include -#include -#include -#include -#include -#include - -/** - * Management function. - */ -extern "C" __EXPORT int math_demo_main(int argc, char *argv[]); - -/** - * Test function - */ -void test(); - -/** - * Print the correct usage. - */ -static void usage(const char *reason); - -static void -usage(const char *reason) -{ - if (reason) - fprintf(stderr, "%s\n", reason); - fprintf(stderr, "usage: math_demo {test}\n\n"); - exit(1); -} - -/** - * The deamon app only briefly exists to start - * the background job. The stack size assigned in the - * Makefile does only apply to this management task. - * - * The actual stack size should be set in the call - * to task_create(). - */ -int math_demo_main(int argc, char *argv[]) -{ - - if (argc < 1) - usage("missing command"); - - if (!strcmp(argv[1], "test")) { - test(); - exit(0); - } - - usage("unrecognized command"); - exit(1); -} - -void test() -{ - printf("beginning math lib test\n"); - using namespace math; - vectorTest(); - matrixTest(); - vector3Test(); - eulerAnglesTest(); - quaternionTest(); - dcmTest(); -} diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_abs_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_abs_f32.c deleted file mode 100644 index 7070274da..000000000 --- a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_abs_f32.c +++ /dev/null @@ -1,159 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010 ARM Limited. All rights reserved. -* -* $Date: 15. February 2012 -* $Revision: V1.1.0 -* -* Project: CMSIS DSP Library -* Title: arm_abs_f32.c -* -* Description: Vector absolute value. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Version 1.1.0 2012/02/15 -* Updated with more optimizations, bug fixes and minor API changes. -* -* Version 1.0.10 2011/7/15 -* Big Endian support added and Merged M0 and M3/M4 Source code. -* -* Version 1.0.3 2010/11/29 -* Re-organized the CMSIS folders and updated documentation. -* -* Version 1.0.2 2010/11/11 -* Documentation updated. -* -* Version 1.0.1 2010/10/05 -* Production release and review comments incorporated. -* -* Version 1.0.0 2010/09/20 -* Production release and review comments incorporated. -* -* Version 0.0.7 2010/06/10 -* Misra-C changes done -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" -#include - -/** - * @ingroup groupMath - */ - -/** - * @defgroup BasicAbs Vector Absolute Value - * - * Computes the absolute value of a vector on an element-by-element basis. - * - * 
        
- *     pDst[n] = abs(pSrcA[n]),   0 <= n < blockSize.        
- *
- * - * The operation can be done in-place by setting the input and output pointers to the same buffer. - * There are separate functions for floating-point, Q7, Q15, and Q31 data types. - */ - -/** - * @addtogroup BasicAbs - * @{ - */ - -/** - * @brief Floating-point vector absolute value. - * @param[in] *pSrc points to the input buffer - * @param[out] *pDst points to the output buffer - * @param[in] blockSize number of samples in each vector - * @return none. - */ - -void arm_abs_f32( - float32_t * pSrc, - float32_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0 - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - float32_t in1, in2, in3, in4; /* temporary variables */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = |A| */ - /* Calculate absolute and then store the results in the destination buffer. */ - /* read sample from source */ - in1 = *pSrc; - in2 = *(pSrc + 1); - in3 = *(pSrc + 2); - - /* find absolute value */ - in1 = fabsf(in1); - - /* read sample from source */ - in4 = *(pSrc + 3); - - /* find absolute value */ - in2 = fabsf(in2); - - /* read sample from source */ - *pDst = in1; - - /* find absolute value */ - in3 = fabsf(in3); - - /* find absolute value */ - in4 = fabsf(in4); - - /* store result to destination */ - *(pDst + 1) = in2; - - /* store result to destination */ - *(pDst + 2) = in3; - - /* store result to destination */ - *(pDst + 3) = in4; - - - /* Update source pointer to process next sampels */ - pSrc += 4u; - - /* Update destination pointer to process next sampels */ - pDst += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0 */ - - while(blkCnt > 0u) - { - /* C = |A| */ - /* Calculate absolute and then store the results in the destination buffer. */ - *pDst++ = fabsf(*pSrc++); - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of BasicAbs group - */ diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_abs_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_abs_q15.c deleted file mode 100644 index 6d6a4b6d8..000000000 --- a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_abs_q15.c +++ /dev/null @@ -1,173 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010 ARM Limited. All rights reserved. -* -* $Date: 15. February 2012 -* $Revision: V1.1.0 -* -* Project: CMSIS DSP Library -* Title: arm_abs_q15.c -* -* Description: Q15 vector absolute value. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Version 1.1.0 2012/02/15 -* Updated with more optimizations, bug fixes and minor API changes. -* -* Version 1.0.10 2011/7/15 -* Big Endian support added and Merged M0 and M3/M4 Source code. -* -* Version 1.0.3 2010/11/29 -* Re-organized the CMSIS folders and updated documentation. -* -* Version 1.0.2 2010/11/11 -* Documentation updated. -* -* Version 1.0.1 2010/10/05 -* Production release and review comments incorporated. -* -* Version 1.0.0 2010/09/20 -* Production release and review comments incorporated. -* -* Version 0.0.7 2010/06/10 -* Misra-C changes done -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup BasicAbs - * @{ - */ - -/** - * @brief Q15 vector absolute value. - * @param[in] *pSrc points to the input buffer - * @param[out] *pDst points to the output buffer - * @param[in] blockSize number of samples in each vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * The Q15 value -1 (0x8000) will be saturated to the maximum allowable positive value 0x7FFF. - */ - -void arm_abs_q15( - q15_t * pSrc, - q15_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0 - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - - q15_t in1; /* Input value1 */ - q15_t in2; /* Input value2 */ - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = |A| */ - /* Read two inputs */ - in1 = *pSrc++; - in2 = *pSrc++; - - - /* Store the Absolute result in the destination buffer by packing the two values, in a single cycle */ - -#ifndef ARM_MATH_BIG_ENDIAN - - *__SIMD32(pDst)++ = - __PKHBT(((in1 > 0) ? in1 : __QSUB16(0, in1)), - ((in2 > 0) ? in2 : __QSUB16(0, in2)), 16); - -#else - - - *__SIMD32(pDst)++ = - __PKHBT(((in2 > 0) ? in2 : __QSUB16(0, in2)), - ((in1 > 0) ? in1 : __QSUB16(0, in1)), 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - in1 = *pSrc++; - in2 = *pSrc++; - - -#ifndef ARM_MATH_BIG_ENDIAN - - *__SIMD32(pDst)++ = - __PKHBT(((in1 > 0) ? in1 : __QSUB16(0, in1)), - ((in2 > 0) ? in2 : __QSUB16(0, in2)), 16); - -#else - - - *__SIMD32(pDst)++ = - __PKHBT(((in2 > 0) ? in2 : __QSUB16(0, in2)), - ((in1 > 0) ? in1 : __QSUB16(0, in1)), 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = |A| */ - /* Read the input */ - in1 = *pSrc++; - - /* Calculate absolute value of input and then store the result in the destination buffer. */ - *pDst++ = (in1 > 0) ? in1 : __QSUB16(0, in1); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - q15_t in; /* Temporary input variable */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = |A| */ - /* Read the input */ - in = *pSrc++; - - /* Calculate absolute value of input and then store the result in the destination buffer. */ - *pDst++ = (in > 0) ? in : ((in == (q15_t) 0x8000) ? 0x7fff : -in); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0 */ - -} - -/** - * @} end of BasicAbs group - */ diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_abs_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_abs_q31.c deleted file mode 100644 index d9e3e7aa3..000000000 --- a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_abs_q31.c +++ /dev/null @@ -1,125 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010 ARM Limited. All rights reserved. -* -* $Date: 15. February 2012 -* $Revision: V1.1.0 -* -* Project: CMSIS DSP Library -* Title: arm_abs_q31.c -* -* Description: Q31 vector absolute value. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Version 1.1.0 2012/02/15 -* Updated with more optimizations, bug fixes and minor API changes. -* -* Version 1.0.10 2011/7/15 -* Big Endian support added and Merged M0 and M3/M4 Source code. -* -* Version 1.0.3 2010/11/29 -* Re-organized the CMSIS folders and updated documentation. -* -* Version 1.0.2 2010/11/11 -* Documentation updated. -* -* Version 1.0.1 2010/10/05 -* Production release and review comments incorporated. -* -* Version 1.0.0 2010/09/20 -* Production release and review comments incorporated. -* -* Version 0.0.7 2010/06/10 -* Misra-C changes done -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup BasicAbs - * @{ - */ - - -/** - * @brief Q31 vector absolute value. - * @param[in] *pSrc points to the input buffer - * @param[out] *pDst points to the output buffer - * @param[in] blockSize number of samples in each vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * The Q31 value -1 (0x80000000) will be saturated to the maximum allowable positive value 0x7FFFFFFF. - */ - -void arm_abs_q31( - q31_t * pSrc, - q31_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - q31_t in; /* Input value */ - -#ifndef ARM_MATH_CM0 - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t in1, in2, in3, in4; - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = |A| */ - /* Calculate absolute of input (if -1 then saturated to 0x7fffffff) and then store the results in the destination buffer. */ - in1 = *pSrc++; - in2 = *pSrc++; - in3 = *pSrc++; - in4 = *pSrc++; - - *pDst++ = (in1 > 0) ? in1 : __QSUB(0, in1); - *pDst++ = (in2 > 0) ? in2 : __QSUB(0, in2); - *pDst++ = (in3 > 0) ? in3 : __QSUB(0, in3); - *pDst++ = (in4 > 0) ? in4 : __QSUB(0, in4); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0 */ - - while(blkCnt > 0u) - { - /* C = |A| */ - /* Calculate absolute value of the input (if -1 then saturated to 0x7fffffff) and then store the results in the destination buffer. */ - in = *pSrc++; - *pDst++ = (in > 0) ? in : ((in == 0x80000000) ? 0x7fffffff : -in); - - /* Decrement the loop counter */ - blkCnt--; - } - -} - -/** - * @} end of BasicAbs group - */ diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_abs_q7.c b/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_abs_q7.c deleted file mode 100644 index 258ecef2c..000000000 --- a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_abs_q7.c +++ /dev/null @@ -1,152 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010 ARM Limited. All rights reserved. -* -* $Date: 15. February 2012 -* $Revision: V1.1.0 -* -* Project: CMSIS DSP Library -* Title: arm_abs_q7.c -* -* Description: Q7 vector absolute value. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Version 1.1.0 2012/02/15 -* Updated with more optimizations, bug fixes and minor API changes. -* -* Version 1.0.10 2011/7/15 -* Big Endian support added and Merged M0 and M3/M4 Source code. -* -* Version 1.0.3 2010/11/29 -* Re-organized the CMSIS folders and updated documentation. -* -* Version 1.0.2 2010/11/11 -* Documentation updated. -* -* Version 1.0.1 2010/10/05 -* Production release and review comments incorporated. -* -* Version 1.0.0 2010/09/20 -* Production release and review comments incorporated. -* -* Version 0.0.7 2010/06/10 -* Misra-C changes done -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup BasicAbs - * @{ - */ - -/** - * @brief Q7 vector absolute value. - * @param[in] *pSrc points to the input buffer - * @param[out] *pDst points to the output buffer - * @param[in] blockSize number of samples in each vector - * @return none. - * - * \par Conditions for optimum performance - * Input and output buffers should be aligned by 32-bit - * - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * The Q7 value -1 (0x80) will be saturated to the maximum allowable positive value 0x7F. - */ - -void arm_abs_q7( - q7_t * pSrc, - q7_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - q7_t in; /* Input value1 */ - -#ifndef ARM_MATH_CM0 - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t in1, in2, in3, in4; /* temporary input variables */ - q31_t out1, out2, out3, out4; /* temporary output variables */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = |A| */ - /* Read inputs */ - in1 = (q31_t) * pSrc; - in2 = (q31_t) * (pSrc + 1); - in3 = (q31_t) * (pSrc + 2); - - /* find absolute value */ - out1 = (in1 > 0) ? in1 : __QSUB8(0, in1); - - /* read input */ - in4 = (q31_t) * (pSrc + 3); - - /* find absolute value */ - out2 = (in2 > 0) ? in2 : __QSUB8(0, in2); - - /* store result to destination */ - *pDst = (q7_t) out1; - - /* find absolute value */ - out3 = (in3 > 0) ? in3 : __QSUB8(0, in3); - - /* find absolute value */ - out4 = (in4 > 0) ? in4 : __QSUB8(0, in4); - - /* store result to destination */ - *(pDst + 1) = (q7_t) out2; - - /* store result to destination */ - *(pDst + 2) = (q7_t) out3; - - /* store result to destination */ - *(pDst + 3) = (q7_t) out4; - - /* update pointers to process next samples */ - pSrc += 4u; - pDst += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; -#else - - /* Run the below code for Cortex-M0 */ - blkCnt = blockSize; - -#endif // #define ARM_MATH_CM0 - - while(blkCnt > 0u) - { - /* C = |A| */ - /* Read the input */ - in = *pSrc++; - - /* Store the Absolute result in the destination buffer */ - *pDst++ = (in > 0) ? in : ((in == (q7_t) 0x80) ? 0x7f : -in); - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of BasicAbs group - */ diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_add_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_add_f32.c deleted file mode 100644 index 0961dd1db..000000000 --- a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_add_f32.c +++ /dev/null @@ -1,145 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010 ARM Limited. All rights reserved. -* -* $Date: 15. February 2012 -* $Revision: V1.1.0 -* -* Project: CMSIS DSP Library -* Title: arm_add_f32.c -* -* Description: Floating-point vector addition. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Version 1.1.0 2012/02/15 -* Updated with more optimizations, bug fixes and minor API changes. -* -* Version 1.0.10 2011/7/15 -* Big Endian support added and Merged M0 and M3/M4 Source code. -* -* Version 1.0.3 2010/11/29 -* Re-organized the CMSIS folders and updated documentation. -* -* Version 1.0.2 2010/11/11 -* Documentation updated. -* -* Version 1.0.1 2010/10/05 -* Production release and review comments incorporated. -* -* Version 1.0.0 2010/09/20 -* Production release and review comments incorporated. -* -* Version 0.0.7 2010/06/10 -* Misra-C changes done -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @defgroup BasicAdd Vector Addition - * - * Element-by-element addition of two vectors. - * - * 
        
- *     pDst[n] = pSrcA[n] + pSrcB[n],   0 <= n < blockSize.        
- *
- * - * There are separate functions for floating-point, Q7, Q15, and Q31 data types. - */ - -/** - * @addtogroup BasicAdd - * @{ - */ - -/** - * @brief Floating-point vector addition. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in each vector - * @return none. - */ - -void arm_add_f32( - float32_t * pSrcA, - float32_t * pSrcB, - float32_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0 - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - float32_t inA1, inA2, inA3, inA4; /* temporary input variabels */ - float32_t inB1, inB2, inB3, inB4; /* temporary input variables */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A + B */ - /* Add and then store the results in the destination buffer. */ - - /* read four inputs from sourceA and four inputs from sourceB */ - inA1 = *pSrcA; - inB1 = *pSrcB; - inA2 = *(pSrcA + 1); - inB2 = *(pSrcB + 1); - inA3 = *(pSrcA + 2); - inB3 = *(pSrcB + 2); - inA4 = *(pSrcA + 3); - inB4 = *(pSrcB + 3); - - /* C = A + B */ - /* add and store result to destination */ - *pDst = inA1 + inB1; - *(pDst + 1) = inA2 + inB2; - *(pDst + 2) = inA3 + inB3; - *(pDst + 3) = inA4 + inB4; - - /* update pointers to process next samples */ - pSrcA += 4u; - pSrcB += 4u; - pDst += 4u; - - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0 */ - - while(blkCnt > 0u) - { - /* C = A + B */ - /* Add and then store the results in the destination buffer. */ - *pDst++ = (*pSrcA++) + (*pSrcB++); - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of BasicAdd group - */ diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_add_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_add_q15.c deleted file mode 100644 index 788b2ebb2..000000000 --- a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_add_q15.c +++ /dev/null @@ -1,135 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010 ARM Limited. All rights reserved. -* -* $Date: 15. February 2012 -* $Revision: V1.1.0 -* -* Project: CMSIS DSP Library -* Title: arm_add_q15.c -* -* Description: Q15 vector addition -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Version 1.1.0 2012/02/15 -* Updated with more optimizations, bug fixes and minor API changes. -* -* Version 1.0.10 2011/7/15 -* Big Endian support added and Merged M0 and M3/M4 Source code. -* -* Version 1.0.3 2010/11/29 -* Re-organized the CMSIS folders and updated documentation. -* -* Version 1.0.2 2010/11/11 -* Documentation updated. -* -* Version 1.0.1 2010/10/05 -* Production release and review comments incorporated. -* -* Version 1.0.0 2010/09/20 -* Production release and review comments incorporated. -* -* Version 0.0.7 2010/06/10 -* Misra-C changes done -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup BasicAdd - * @{ - */ - -/** - * @brief Q15 vector addition. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in each vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated. - */ - -void arm_add_q15( - q15_t * pSrcA, - q15_t * pSrcB, - q15_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0 - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t inA1, inA2, inB1, inB2; - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A + B */ - /* Add and then store the results in the destination buffer. */ - inA1 = *__SIMD32(pSrcA)++; - inA2 = *__SIMD32(pSrcA)++; - inB1 = *__SIMD32(pSrcB)++; - inB2 = *__SIMD32(pSrcB)++; - - *__SIMD32(pDst)++ = __QADD16(inA1, inB1); - *__SIMD32(pDst)++ = __QADD16(inA2, inB2); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A + B */ - /* Add and then store the results in the destination buffer. */ - *pDst++ = (q15_t) __QADD16(*pSrcA++, *pSrcB++); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A + B */ - /* Add and then store the results in the destination buffer. */ - *pDst++ = (q15_t) __SSAT(((q31_t) * pSrcA++ + *pSrcB++), 16); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0 */ - - -} - -/** - * @} end of BasicAdd group - */ diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_add_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_add_q31.c deleted file mode 100644 index c5b18711d..000000000 --- a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_add_q31.c +++ /dev/null @@ -1,143 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010 ARM Limited. All rights reserved. -* -* $Date: 15. February 2012 -* $Revision: V1.1.0 -* -* Project: CMSIS DSP Library -* Title: arm_add_q31.c -* -* Description: Q31 vector addition. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Version 1.1.0 2012/02/15 -* Updated with more optimizations, bug fixes and minor API changes. -* -* Version 1.0.10 2011/7/15 -* Big Endian support added and Merged M0 and M3/M4 Source code. -* -* Version 1.0.3 2010/11/29 -* Re-organized the CMSIS folders and updated documentation. -* -* Version 1.0.2 2010/11/11 -* Documentation updated. -* -* Version 1.0.1 2010/10/05 -* Production release and review comments incorporated. -* -* Version 1.0.0 2010/09/20 -* Production release and review comments incorporated. -* -* Version 0.0.7 2010/06/10 -* Misra-C changes done -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup BasicAdd - * @{ - */ - - -/** - * @brief Q31 vector addition. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in each vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q31 range[0x80000000 0x7FFFFFFF] will be saturated. - */ - -void arm_add_q31( - q31_t * pSrcA, - q31_t * pSrcB, - q31_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0 - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t inA1, inA2, inA3, inA4; - q31_t inB1, inB2, inB3, inB4; - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A + B */ - /* Add and then store the results in the destination buffer. */ - inA1 = *pSrcA++; - inA2 = *pSrcA++; - inB1 = *pSrcB++; - inB2 = *pSrcB++; - - inA3 = *pSrcA++; - inA4 = *pSrcA++; - inB3 = *pSrcB++; - inB4 = *pSrcB++; - - *pDst++ = __QADD(inA1, inB1); - *pDst++ = __QADD(inA2, inB2); - *pDst++ = __QADD(inA3, inB3); - *pDst++ = __QADD(inA4, inB4); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A + B */ - /* Add and then store the results in the destination buffer. */ - *pDst++ = __QADD(*pSrcA++, *pSrcB++); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A + B */ - /* Add and then store the results in the destination buffer. */ - *pDst++ = (q31_t) clip_q63_to_q31((q63_t) * pSrcA++ + *pSrcB++); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0 */ - -} - -/** - * @} end of BasicAdd group - */ diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_add_q7.c b/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_add_q7.c deleted file mode 100644 index 5407c006f..000000000 --- a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_add_q7.c +++ /dev/null @@ -1,129 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010 ARM Limited. All rights reserved. -* -* $Date: 15. February 2012 -* $Revision: V1.1.0 -* -* Project: CMSIS DSP Library -* Title: arm_add_q7.c -* -* Description: Q7 vector addition. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Version 1.1.0 2012/02/15 -* Updated with more optimizations, bug fixes and minor API changes. -* -* Version 1.0.10 2011/7/15 -* Big Endian support added and Merged M0 and M3/M4 Source code. -* -* Version 1.0.3 2010/11/29 -* Re-organized the CMSIS folders and updated documentation. -* -* Version 1.0.2 2010/11/11 -* Documentation updated. -* -* Version 1.0.1 2010/10/05 -* Production release and review comments incorporated. -* -* Version 1.0.0 2010/09/20 -* Production release and review comments incorporated. -* -* Version 0.0.7 2010/06/10 -* Misra-C changes done -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup BasicAdd - * @{ - */ - -/** - * @brief Q7 vector addition. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in each vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q7 range [0x80 0x7F] will be saturated. - */ - -void arm_add_q7( - q7_t * pSrcA, - q7_t * pSrcB, - q7_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0 - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A + B */ - /* Add and then store the results in the destination buffer. */ - *__SIMD32(pDst)++ = __QADD8(*__SIMD32(pSrcA)++, *__SIMD32(pSrcB)++); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A + B */ - /* Add and then store the results in the destination buffer. */ - *pDst++ = (q7_t) __SSAT(*pSrcA++ + *pSrcB++, 8); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A + B */ - /* Add and then store the results in the destination buffer. */ - *pDst++ = (q7_t) __SSAT((q15_t) * pSrcA++ + *pSrcB++, 8); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0 */ - - -} - -/** - * @} end of BasicAdd group - */ diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_dot_prod_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_dot_prod_f32.c deleted file mode 100644 index 6f7fbcebf..000000000 --- a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_dot_prod_f32.c +++ /dev/null @@ -1,125 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010 ARM Limited. All rights reserved. -* -* $Date: 15. February 2012 -* $Revision: V1.1.0 -* -* Project: CMSIS DSP Library -* Title: arm_dot_prod_f32.c -* -* Description: Floating-point dot product. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Version 1.1.0 2012/02/15 -* Updated with more optimizations, bug fixes and minor API changes. -* -* Version 1.0.10 2011/7/15 -* Big Endian support added and Merged M0 and M3/M4 Source code. -* -* Version 1.0.3 2010/11/29 -* Re-organized the CMSIS folders and updated documentation. -* -* Version 1.0.2 2010/11/11 -* Documentation updated. -* -* Version 1.0.1 2010/10/05 -* Production release and review comments incorporated. -* -* Version 1.0.0 2010/09/20 -* Production release and review comments incorporated. -* -* Version 0.0.7 2010/06/10 -* Misra-C changes done -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @defgroup dot_prod Vector Dot Product - * - * Computes the dot product of two vectors. - * The vectors are multiplied element-by-element and then summed. - * There are separate functions for floating-point, Q7, Q15, and Q31 data types. - */ - -/** - * @addtogroup dot_prod - * @{ - */ - -/** - * @brief Dot product of floating-point vectors. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[in] blockSize number of samples in each vector - * @param[out] *result output result returned here - * @return none. - */ - - -void arm_dot_prod_f32( - float32_t * pSrcA, - float32_t * pSrcB, - uint32_t blockSize, - float32_t * result) -{ - float32_t sum = 0.0f; /* Temporary result storage */ - uint32_t blkCnt; /* loop counter */ - - -#ifndef ARM_MATH_CM0 - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ - /* Calculate dot product and then store the result in a temporary buffer */ - sum += (*pSrcA++) * (*pSrcB++); - sum += (*pSrcA++) * (*pSrcB++); - sum += (*pSrcA++) * (*pSrcB++); - sum += (*pSrcA++) * (*pSrcB++); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0 */ - - - while(blkCnt > 0u) - { - /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ - /* Calculate dot product and then store the result in a temporary buffer. */ - sum += (*pSrcA++) * (*pSrcB++); - - /* Decrement the loop counter */ - blkCnt--; - } - /* Store the result back in the destination buffer */ - *result = sum; -} - -/** - * @} end of dot_prod group - */ diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_dot_prod_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_dot_prod_q15.c deleted file mode 100644 index 24611a05f..000000000 --- a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_dot_prod_q15.c +++ /dev/null @@ -1,135 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010 ARM Limited. All rights reserved. -* -* $Date: 15. February 2012 -* $Revision: V1.1.0 -* -* Project: CMSIS DSP Library -* Title: arm_dot_prod_q15.c -* -* Description: Q15 dot product. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Version 1.1.0 2012/02/15 -* Updated with more optimizations, bug fixes and minor API changes. -* -* Version 1.0.10 2011/7/15 -* Big Endian support added and Merged M0 and M3/M4 Source code. -* -* Version 1.0.3 2010/11/29 -* Re-organized the CMSIS folders and updated documentation. -* -* Version 1.0.2 2010/11/11 -* Documentation updated. -* -* Version 1.0.1 2010/10/05 -* Production release and review comments incorporated. -* -* Version 1.0.0 2010/09/20 -* Production release and review comments incorporated. -* -* Version 0.0.7 2010/06/10 -* Misra-C changes done -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup dot_prod - * @{ - */ - -/** - * @brief Dot product of Q15 vectors. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[in] blockSize number of samples in each vector - * @param[out] *result output result returned here - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The intermediate multiplications are in 1.15 x 1.15 = 2.30 format and these - * results are added to a 64-bit accumulator in 34.30 format. - * Nonsaturating additions are used and given that there are 33 guard bits in the accumulator - * there is no risk of overflow. - * The return result is in 34.30 format. - */ - -void arm_dot_prod_q15( - q15_t * pSrcA, - q15_t * pSrcB, - uint32_t blockSize, - q63_t * result) -{ - q63_t sum = 0; /* Temporary result storage */ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0 - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ - /* Calculate dot product and then store the result in a temporary buffer. */ - sum = __SMLALD(*__SIMD32(pSrcA)++, *__SIMD32(pSrcB)++, sum); - sum = __SMLALD(*__SIMD32(pSrcA)++, *__SIMD32(pSrcB)++, sum); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ - /* Calculate dot product and then store the results in a temporary buffer. */ - sum = __SMLALD(*pSrcA++, *pSrcB++, sum); - - /* Decrement the loop counter */ - blkCnt--; - } - - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ - /* Calculate dot product and then store the results in a temporary buffer. */ - sum += (q63_t) ((q31_t) * pSrcA++ * *pSrcB++); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0 */ - - /* Store the result in the destination buffer in 34.30 format */ - *result = sum; - -} - -/** - * @} end of dot_prod group - */ diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_dot_prod_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_dot_prod_q31.c deleted file mode 100644 index 5e4031338..000000000 --- a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_dot_prod_q31.c +++ /dev/null @@ -1,138 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010 ARM Limited. All rights reserved. -* -* $Date: 15. February 2012 -* $Revision: V1.1.0 -* -* Project: CMSIS DSP Library -* Title: arm_dot_prod_q31.c -* -* Description: Q31 dot product. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Version 1.1.0 2012/02/15 -* Updated with more optimizations, bug fixes and minor API changes. -* -* Version 1.0.10 2011/7/15 -* Big Endian support added and Merged M0 and M3/M4 Source code. -* -* Version 1.0.3 2010/11/29 -* Re-organized the CMSIS folders and updated documentation. -* -* Version 1.0.2 2010/11/11 -* Documentation updated. -* -* Version 1.0.1 2010/10/05 -* Production release and review comments incorporated. -* -* Version 1.0.0 2010/09/20 -* Production release and review comments incorporated. -* -* Version 0.0.7 2010/06/10 -* Misra-C changes done -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup dot_prod - * @{ - */ - -/** - * @brief Dot product of Q31 vectors. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[in] blockSize number of samples in each vector - * @param[out] *result output result returned here - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The intermediate multiplications are in 1.31 x 1.31 = 2.62 format and these - * are truncated to 2.48 format by discarding the lower 14 bits. - * The 2.48 result is then added without saturation to a 64-bit accumulator in 16.48 format. - * There are 15 guard bits in the accumulator and there is no risk of overflow as long as - * the length of the vectors is less than 2^16 elements. - * The return result is in 16.48 format. - */ - -void arm_dot_prod_q31( - q31_t * pSrcA, - q31_t * pSrcB, - uint32_t blockSize, - q63_t * result) -{ - q63_t sum = 0; /* Temporary result storage */ - uint32_t blkCnt; /* loop counter */ - - -#ifndef ARM_MATH_CM0 - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t inA1, inA2, inA3, inA4; - q31_t inB1, inB2, inB3, inB4; - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ - /* Calculate dot product and then store the result in a temporary buffer. */ - inA1 = *pSrcA++; - inA2 = *pSrcA++; - inA3 = *pSrcA++; - inA4 = *pSrcA++; - inB1 = *pSrcB++; - inB2 = *pSrcB++; - inB3 = *pSrcB++; - inB4 = *pSrcB++; - - sum += ((q63_t) inA1 * inB1) >> 14u; - sum += ((q63_t) inA2 * inB2) >> 14u; - sum += ((q63_t) inA3 * inB3) >> 14u; - sum += ((q63_t) inA4 * inB4) >> 14u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0 */ - - - while(blkCnt > 0u) - { - /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ - /* Calculate dot product and then store the result in a temporary buffer. */ - sum += ((q63_t) * pSrcA++ * *pSrcB++) >> 14u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Store the result in the destination buffer in 16.48 format */ - *result = sum; -} - -/** - * @} end of dot_prod group - */ diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_dot_prod_q7.c b/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_dot_prod_q7.c deleted file mode 100644 index ddf2d0c24..000000000 --- a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_dot_prod_q7.c +++ /dev/null @@ -1,154 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010 ARM Limited. All rights reserved. -* -* $Date: 15. February 2012 -* $Revision: V1.1.0 -* -* Project: CMSIS DSP Library -* Title: arm_dot_prod_q7.c -* -* Description: Q7 dot product. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Version 1.1.0 2012/02/15 -* Updated with more optimizations, bug fixes and minor API changes. -* -* Version 1.0.10 2011/7/15 -* Big Endian support added and Merged M0 and M3/M4 Source code. -* -* Version 1.0.3 2010/11/29 -* Re-organized the CMSIS folders and updated documentation. -* -* Version 1.0.2 2010/11/11 -* Documentation updated. -* -* Version 1.0.1 2010/10/05 -* Production release and review comments incorporated. -* -* Version 1.0.0 2010/09/20 -* Production release and review comments incorporated. -* -* Version 0.0.7 2010/06/10 -* Misra-C changes done -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup dot_prod - * @{ - */ - -/** - * @brief Dot product of Q7 vectors. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[in] blockSize number of samples in each vector - * @param[out] *result output result returned here - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The intermediate multiplications are in 1.7 x 1.7 = 2.14 format and these - * results are added to an accumulator in 18.14 format. - * Nonsaturating additions are used and there is no danger of wrap around as long as - * the vectors are less than 2^18 elements long. - * The return result is in 18.14 format. - */ - -void arm_dot_prod_q7( - q7_t * pSrcA, - q7_t * pSrcB, - uint32_t blockSize, - q31_t * result) -{ - uint32_t blkCnt; /* loop counter */ - - q31_t sum = 0; /* Temporary variables to store output */ - -#ifndef ARM_MATH_CM0 - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - - q31_t input1, input2; /* Temporary variables to store input */ - q31_t inA1, inA2, inB1, inB2; /* Temporary variables to store input */ - - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* read 4 samples at a time from sourceA */ - input1 = *__SIMD32(pSrcA)++; - /* read 4 samples at a time from sourceB */ - input2 = *__SIMD32(pSrcB)++; - - /* extract two q7_t samples to q15_t samples */ - inA1 = __SXTB16(__ROR(input1, 8)); - /* extract reminaing two samples */ - inA2 = __SXTB16(input1); - /* extract two q7_t samples to q15_t samples */ - inB1 = __SXTB16(__ROR(input2, 8)); - /* extract reminaing two samples */ - inB2 = __SXTB16(input2); - - /* multiply and accumulate two samples at a time */ - sum = __SMLAD(inA1, inB1, sum); - sum = __SMLAD(inA2, inB2, sum); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ - /* Dot product and then store the results in a temporary buffer. */ - sum = __SMLAD(*pSrcA++, *pSrcB++, sum); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ - /* Dot product and then store the results in a temporary buffer. */ - sum += (q31_t) ((q15_t) * pSrcA++ * *pSrcB++); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0 */ - - - /* Store the result in the destination buffer in 18.14 format */ - *result = sum; -} - -/** - * @} end of dot_prod group - */ diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_mult_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_mult_f32.c deleted file mode 100644 index 88a458b40..000000000 --- a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_mult_f32.c +++ /dev/null @@ -1,172 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010 ARM Limited. All rights reserved. -* -* $Date: 15. February 2012 -* $Revision: V1.1.0 -* -* Project: CMSIS DSP Library -* Title: arm_mult_f32.c -* -* Description: Floating-point vector multiplication. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Version 1.1.0 2012/02/15 -* Updated with more optimizations, bug fixes and minor API changes. -* -* Version 1.0.10 2011/7/15 -* Big Endian support added and Merged M0 and M3/M4 Source code. -* -* Version 1.0.3 2010/11/29 -* Re-organized the CMSIS folders and updated documentation. -* -* Version 1.0.2 2010/11/11 -* Documentation updated. -* -* Version 1.0.1 2010/10/05 -* Production release and review comments incorporated. -* -* Version 1.0.0 2010/09/20 -* Production release and review comments incorporated. -* -* Version 0.0.5 2010/04/26 -* incorporated review comments and updated with latest CMSIS layer -* -* Version 0.0.3 2010/03/10 -* Initial version -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @defgroup BasicMult Vector Multiplication - * - * Element-by-element multiplication of two vectors. - * - * 
        
- *     pDst[n] = pSrcA[n] * pSrcB[n],   0 <= n < blockSize.        
- *
- * - * There are separate functions for floating-point, Q7, Q15, and Q31 data types. - */ - -/** - * @addtogroup BasicMult - * @{ - */ - -/** - * @brief Floating-point vector multiplication. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in each vector - * @return none. - */ - -void arm_mult_f32( - float32_t * pSrcA, - float32_t * pSrcB, - float32_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counters */ -#ifndef ARM_MATH_CM0 - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - float32_t inA1, inA2, inA3, inA4; /* temporary input variables */ - float32_t inB1, inB2, inB3, inB4; /* temporary input variables */ - float32_t out1, out2, out3, out4; /* temporary output variables */ - - /* loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A * B */ - /* Multiply the inputs and store the results in output buffer */ - /* read sample from sourceA */ - inA1 = *pSrcA; - /* read sample from sourceB */ - inB1 = *pSrcB; - /* read sample from sourceA */ - inA2 = *(pSrcA + 1); - /* read sample from sourceB */ - inB2 = *(pSrcB + 1); - - /* out = sourceA * sourceB */ - out1 = inA1 * inB1; - - /* read sample from sourceA */ - inA3 = *(pSrcA + 2); - /* read sample from sourceB */ - inB3 = *(pSrcB + 2); - - /* out = sourceA * sourceB */ - out2 = inA2 * inB2; - - /* read sample from sourceA */ - inA4 = *(pSrcA + 3); - - /* store result to destination buffer */ - *pDst = out1; - - /* read sample from sourceB */ - inB4 = *(pSrcB + 3); - - /* out = sourceA * sourceB */ - out3 = inA3 * inB3; - - /* store result to destination buffer */ - *(pDst + 1) = out2; - - /* out = sourceA * sourceB */ - out4 = inA4 * inB4; - /* store result to destination buffer */ - *(pDst + 2) = out3; - /* store result to destination buffer */ - *(pDst + 3) = out4; - - - /* update pointers to process next samples */ - pSrcA += 4u; - pSrcB += 4u; - pDst += 4u; - - /* Decrement the blockSize loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0 */ - - while(blkCnt > 0u) - { - /* C = A * B */ - /* Multiply the inputs and store the results in output buffer */ - *pDst++ = (*pSrcA++) * (*pSrcB++); - - /* Decrement the blockSize loop counter */ - blkCnt--; - } -} - -/** - * @} end of BasicMult group - */ diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_mult_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_mult_q15.c deleted file mode 100644 index 99d44a4ba..000000000 --- a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_mult_q15.c +++ /dev/null @@ -1,152 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010 ARM Limited. All rights reserved. -* -* $Date: 15. February 2012 -* $Revision: V1.1.0 -* -* Project: CMSIS DSP Library -* Title: arm_mult_q15.c -* -* Description: Q15 vector multiplication. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Version 1.1.0 2012/02/15 -* Updated with more optimizations, bug fixes and minor API changes. -* -* Version 1.0.10 2011/7/15 -* Big Endian support added and Merged M0 and M3/M4 Source code. -* -* Version 1.0.3 2010/11/29 -* Re-organized the CMSIS folders and updated documentation. -* -* Version 1.0.2 2010/11/11 -* Documentation updated. -* -* Version 1.0.1 2010/10/05 -* Production release and review comments incorporated. -* -* Version 1.0.0 2010/09/20 -* Production release and review comments incorporated. -* -* Version 0.0.5 2010/04/26 -* incorporated review comments and updated with latest CMSIS layer -* -* Version 0.0.3 2010/03/10 -* Initial version -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup BasicMult - * @{ - */ - - -/** - * @brief Q15 vector multiplication - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in each vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated. - */ - -void arm_mult_q15( - q15_t * pSrcA, - q15_t * pSrcB, - q15_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counters */ - -#ifndef ARM_MATH_CM0 - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t inA1, inA2, inB1, inB2; /* temporary input variables */ - q15_t out1, out2, out3, out4; /* temporary output variables */ - q31_t mul1, mul2, mul3, mul4; /* temporary variables */ - - /* loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* read two samples at a time from sourceA */ - inA1 = *__SIMD32(pSrcA)++; - /* read two samples at a time from sourceB */ - inB1 = *__SIMD32(pSrcB)++; - /* read two samples at a time from sourceA */ - inA2 = *__SIMD32(pSrcA)++; - /* read two samples at a time from sourceB */ - inB2 = *__SIMD32(pSrcB)++; - - /* multiply mul = sourceA * sourceB */ - mul1 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1 >> 16)); - mul2 = (q31_t) ((q15_t) inA1 * (q15_t) inB1); - mul3 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) (inB2 >> 16)); - mul4 = (q31_t) ((q15_t) inA2 * (q15_t) inB2); - - /* saturate result to 16 bit */ - out1 = (q15_t) __SSAT(mul1 >> 15, 16); - out2 = (q15_t) __SSAT(mul2 >> 15, 16); - out3 = (q15_t) __SSAT(mul3 >> 15, 16); - out4 = (q15_t) __SSAT(mul4 >> 15, 16); - - /* store the result */ -#ifndef ARM_MATH_BIG_ENDIAN - - *__SIMD32(pDst)++ = __PKHBT(out2, out1, 16); - *__SIMD32(pDst)++ = __PKHBT(out4, out3, 16); - -#else - - *__SIMD32(pDst)++ = __PKHBT(out2, out1, 16); - *__SIMD32(pDst)++ = __PKHBT(out4, out3, 16); - -#endif // #ifndef ARM_MATH_BIG_ENDIAN - - /* Decrement the blockSize loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0 */ - - - while(blkCnt > 0u) - { - /* C = A * B */ - /* Multiply the inputs and store the result in the destination buffer */ - *pDst++ = (q15_t) __SSAT((((q31_t) (*pSrcA++) * (*pSrcB++)) >> 15), 16); - - /* Decrement the blockSize loop counter */ - blkCnt--; - } -} - -/** - * @} end of BasicMult group - */ diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_mult_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_mult_q31.c deleted file mode 100644 index 37ec8e25e..000000000 --- a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_mult_q31.c +++ /dev/null @@ -1,143 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010 ARM Limited. All rights reserved. -* -* $Date: 15. February 2012 -* $Revision: V1.1.0 -* -* Project: CMSIS DSP Library -* Title: arm_mult_q31.c -* -* Description: Q31 vector multiplication. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Version 1.1.0 2012/02/15 -* Updated with more optimizations, bug fixes and minor API changes. -* -* Version 1.0.10 2011/7/15 -* Big Endian support added and Merged M0 and M3/M4 Source code. -* -* Version 1.0.3 2010/11/29 -* Re-organized the CMSIS folders and updated documentation. -* -* Version 1.0.2 2010/11/11 -* Documentation updated. -* -* Version 1.0.1 2010/10/05 -* Production release and review comments incorporated. -* -* Version 1.0.0 2010/09/20 -* Production release and review comments incorporated. -* -* Version 0.0.5 2010/04/26 -* incorporated review comments and updated with latest CMSIS layer -* -* Version 0.0.3 2010/03/10 -* Initial version -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup BasicMult - * @{ - */ - -/** - * @brief Q31 vector multiplication. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in each vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q31 range[0x80000000 0x7FFFFFFF] will be saturated. - */ - -void arm_mult_q31( - q31_t * pSrcA, - q31_t * pSrcB, - q31_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counters */ - -#ifndef ARM_MATH_CM0 - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t inA1, inA2, inA3, inA4; /* temporary input variables */ - q31_t inB1, inB2, inB3, inB4; /* temporary input variables */ - q31_t out1, out2, out3, out4; /* temporary output variables */ - - /* loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A * B */ - /* Multiply the inputs and then store the results in the destination buffer. */ - inA1 = *pSrcA++; - inA2 = *pSrcA++; - inA3 = *pSrcA++; - inA4 = *pSrcA++; - inB1 = *pSrcB++; - inB2 = *pSrcB++; - inB3 = *pSrcB++; - inB4 = *pSrcB++; - - out1 = ((q63_t) inA1 * inB1) >> 32; - out2 = ((q63_t) inA2 * inB2) >> 32; - out3 = ((q63_t) inA3 * inB3) >> 32; - out4 = ((q63_t) inA4 * inB4) >> 32; - - out1 = __SSAT(out1, 31); - out2 = __SSAT(out2, 31); - out3 = __SSAT(out3, 31); - out4 = __SSAT(out4, 31); - - *pDst++ = out1 << 1u; - *pDst++ = out2 << 1u; - *pDst++ = out3 << 1u; - *pDst++ = out4 << 1u; - - /* Decrement the blockSize loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0 */ - - while(blkCnt > 0u) - { - /* C = A * B */ - /* Multiply the inputs and then store the results in the destination buffer. */ - *pDst++ = - (q31_t) clip_q63_to_q31(((q63_t) (*pSrcA++) * (*pSrcB++)) >> 31); - - /* Decrement the blockSize loop counter */ - blkCnt--; - } -} - -/** - * @} end of BasicMult group - */ diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_mult_q7.c b/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_mult_q7.c deleted file mode 100644 index 14ee23ea6..000000000 --- a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_mult_q7.c +++ /dev/null @@ -1,128 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010 ARM Limited. All rights reserved. -* -* $Date: 15. February 2012 -* $Revision: V1.1.0 -* -* Project: CMSIS DSP Library -* Title: arm_mult_q7.c -* -* Description: Q7 vector multiplication. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Version 1.1.0 2012/02/15 -* Updated with more optimizations, bug fixes and minor API changes. -* -* Version 1.0.10 2011/7/15 -* Big Endian support added and Merged M0 and M3/M4 Source code. -* -* Version 1.0.3 2010/11/29 -* Re-organized the CMSIS folders and updated documentation. -* -* Version 1.0.2 2010/11/11 -* Documentation updated. -* -* Version 1.0.1 2010/10/05 -* Production release and review comments incorporated. -* -* Version 1.0.0 2010/09/20 -* Production release and review comments incorporated. -* -* Version 0.0.7 2010/06/10 -* Misra-C changes done -* -* Version 0.0.5 2010/04/26 -* incorporated review comments and updated with latest CMSIS layer -* -* Version 0.0.3 2010/03/10 DP -* Initial version -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup BasicMult - * @{ - */ - -/** - * @brief Q7 vector multiplication - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in each vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q7 range [0x80 0x7F] will be saturated. - */ - -void arm_mult_q7( - q7_t * pSrcA, - q7_t * pSrcB, - q7_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counters */ - -#ifndef ARM_MATH_CM0 - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q7_t out1, out2, out3, out4; /* Temporary variables to store the product */ - - /* loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A * B */ - /* Multiply the inputs and store the results in temporary variables */ - out1 = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); - out2 = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); - out3 = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); - out4 = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); - - /* Store the results of 4 inputs in the destination buffer in single cycle by packing */ - *__SIMD32(pDst)++ = __PACKq7(out1, out2, out3, out4); - - /* Decrement the blockSize loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0 */ - - - while(blkCnt > 0u) - { - /* C = A * B */ - /* Multiply the inputs and store the result in the destination buffer */ - *pDst++ = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); - - /* Decrement the blockSize loop counter */ - blkCnt--; - } -} - -/** - * @} end of BasicMult group - */ diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_negate_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_negate_f32.c deleted file mode 100644 index 4f4d423ac..000000000 --- a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_negate_f32.c +++ /dev/null @@ -1,137 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010 ARM Limited. All rights reserved. -* -* $Date: 15. February 2012 -* $Revision: V1.1.0 -* -* Project: CMSIS DSP Library -* Title: arm_negate_f32.c -* -* Description: Negates floating-point vectors. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Version 1.1.0 2012/02/15 -* Updated with more optimizations, bug fixes and minor API changes. -* -* Version 1.0.10 2011/7/15 -* Big Endian support added and Merged M0 and M3/M4 Source code. -* -* Version 1.0.3 2010/11/29 -* Re-organized the CMSIS folders and updated documentation. -* -* Version 1.0.2 2010/11/11 -* Documentation updated. -* -* Version 1.0.1 2010/10/05 -* Production release and review comments incorporated. -* -* Version 1.0.0 2010/09/20 -* Production release and review comments incorporated. -* -* Version 0.0.7 2010/06/10 -* Misra-C changes done -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @defgroup negate Vector Negate - * - * Negates the elements of a vector. - * - * 
        
- *     pDst[n] = -pSrc[n],   0 <= n < blockSize.        
- *
- */ - -/** - * @addtogroup negate - * @{ - */ - -/** - * @brief Negates the elements of a floating-point vector. - * @param[in] *pSrc points to the input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - */ - -void arm_negate_f32( - float32_t * pSrc, - float32_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - - -#ifndef ARM_MATH_CM0 - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - float32_t in1, in2, in3, in4; /* temporary variables */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* read inputs from source */ - in1 = *pSrc; - in2 = *(pSrc + 1); - in3 = *(pSrc + 2); - in4 = *(pSrc + 3); - - /* negate the input */ - in1 = -in1; - in2 = -in2; - in3 = -in3; - in4 = -in4; - - /* store the result to destination */ - *pDst = in1; - *(pDst + 1) = in2; - *(pDst + 2) = in3; - *(pDst + 3) = in4; - - /* update pointers to process next samples */ - pSrc += 4u; - pDst += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0 */ - - while(blkCnt > 0u) - { - /* C = -A */ - /* Negate and then store the results in the destination buffer. */ - *pDst++ = -*pSrc++; - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of negate group - */ diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_negate_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_negate_q15.c deleted file mode 100644 index 21d58d1a4..000000000 --- a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_negate_q15.c +++ /dev/null @@ -1,137 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010 ARM Limited. All rights reserved. -* -* $Date: 15. February 2012 -* $Revision: V1.1.0 -* -* Project: CMSIS DSP Library -* Title: arm_negate_q15.c -* -* Description: Negates Q15 vectors. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Version 1.1.0 2012/02/15 -* Updated with more optimizations, bug fixes and minor API changes. -* -* Version 1.0.10 2011/7/15 -* Big Endian support added and Merged M0 and M3/M4 Source code. -* -* Version 1.0.3 2010/11/29 -* Re-organized the CMSIS folders and updated documentation. -* -* Version 1.0.2 2010/11/11 -* Documentation updated. -* -* Version 1.0.1 2010/10/05 -* Production release and review comments incorporated. -* -* Version 1.0.0 2010/09/20 -* Production release and review comments incorporated. -* -* Version 0.0.7 2010/06/10 -* Misra-C changes done -* -------------------------------------------------------------------- */ -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup negate - * @{ - */ - -/** - * @brief Negates the elements of a Q15 vector. - * @param[in] *pSrc points to the input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - * - * \par Conditions for optimum performance - * Input and output buffers should be aligned by 32-bit - * - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * The Q15 value -1 (0x8000) will be saturated to the maximum allowable positive value 0x7FFF. - */ - -void arm_negate_q15( - q15_t * pSrc, - q15_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - q15_t in; - -#ifndef ARM_MATH_CM0 - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - - q31_t in1, in2; /* Temporary variables */ - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = -A */ - /* Read two inputs at a time */ - in1 = _SIMD32_OFFSET(pSrc); - in2 = _SIMD32_OFFSET(pSrc + 2); - - /* negate two samples at a time */ - in1 = __QSUB16(0, in1); - - /* negate two samples at a time */ - in2 = __QSUB16(0, in2); - - /* store the result to destination 2 samples at a time */ - _SIMD32_OFFSET(pDst) = in1; - /* store the result to destination 2 samples at a time */ - _SIMD32_OFFSET(pDst + 2) = in2; - - - /* update pointers to process next samples */ - pSrc += 4u; - pDst += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0 */ - - while(blkCnt > 0u) - { - /* C = -A */ - /* Negate and then store the result in the destination buffer. */ - in = *pSrc++; - *pDst++ = (in == (q15_t) 0x8000) ? 0x7fff : -in; - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of negate group - */ diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_negate_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_negate_q31.c deleted file mode 100644 index fc28c3621..000000000 --- a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_negate_q31.c +++ /dev/null @@ -1,124 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010 ARM Limited. All rights reserved. -* -* $Date: 15. February 2012 -* $Revision: V1.1.0 -* -* Project: CMSIS DSP Library -* Title: arm_negate_q31.c -* -* Description: Negates Q31 vectors. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Version 1.1.0 2012/02/15 -* Updated with more optimizations, bug fixes and minor API changes. -* -* Version 1.0.10 2011/7/15 -* Big Endian support added and Merged M0 and M3/M4 Source code. -* -* Version 1.0.3 2010/11/29 -* Re-organized the CMSIS folders and updated documentation. -* -* Version 1.0.2 2010/11/11 -* Documentation updated. -* -* Version 1.0.1 2010/10/05 -* Production release and review comments incorporated. -* -* Version 1.0.0 2010/09/20 -* Production release and review comments incorporated. -* -* Version 0.0.7 2010/06/10 -* Misra-C changes done -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup negate - * @{ - */ - -/** - * @brief Negates the elements of a Q31 vector. - * @param[in] *pSrc points to the input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * The Q31 value -1 (0x80000000) will be saturated to the maximum allowable positive value 0x7FFFFFFF. - */ - -void arm_negate_q31( - q31_t * pSrc, - q31_t * pDst, - uint32_t blockSize) -{ - q31_t in; /* Temporary variable */ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0 - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t in1, in2, in3, in4; - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = -A */ - /* Negate and then store the results in the destination buffer. */ - in1 = *pSrc++; - in2 = *pSrc++; - in3 = *pSrc++; - in4 = *pSrc++; - - *pDst++ = __QSUB(0, in1); - *pDst++ = __QSUB(0, in2); - *pDst++ = __QSUB(0, in3); - *pDst++ = __QSUB(0, in4); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0 */ - - - while(blkCnt > 0u) - { - /* C = -A */ - /* Negate and then store the result in the destination buffer. */ - in = *pSrc++; - *pDst++ = (in == 0x80000000) ? 0x7fffffff : -in; - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of negate group - */ diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_negate_q7.c b/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_negate_q7.c deleted file mode 100644 index 601fb7393..000000000 --- a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_negate_q7.c +++ /dev/null @@ -1,120 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010 ARM Limited. All rights reserved. -* -* $Date: 15. February 2012 -* $Revision: V1.1.0 -* -* Project: CMSIS DSP Library -* Title: arm_negate_q7.c -* -* Description: Negates Q7 vectors. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Version 1.1.0 2012/02/15 -* Updated with more optimizations, bug fixes and minor API changes. -* -* Version 1.0.10 2011/7/15 -* Big Endian support added and Merged M0 and M3/M4 Source code. -* -* Version 1.0.3 2010/11/29 -* Re-organized the CMSIS folders and updated documentation. -* -* Version 1.0.2 2010/11/11 -* Documentation updated. -* -* Version 1.0.1 2010/10/05 -* Production release and review comments incorporated. -* -* Version 1.0.0 2010/09/20 -* Production release and review comments incorporated. -* -* Version 0.0.7 2010/06/10 -* Misra-C changes done -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup negate - * @{ - */ - -/** - * @brief Negates the elements of a Q7 vector. - * @param[in] *pSrc points to the input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * The Q7 value -1 (0x80) will be saturated to the maximum allowable positive value 0x7F. - */ - -void arm_negate_q7( - q7_t * pSrc, - q7_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - q7_t in; - -#ifndef ARM_MATH_CM0 - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t input; /* Input values1-4 */ - q31_t zero = 0x00000000; - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = -A */ - /* Read four inputs */ - input = *__SIMD32(pSrc)++; - - /* Store the Negated results in the destination buffer in a single cycle by packing the results */ - *__SIMD32(pDst)++ = __QSUB8(zero, input); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0 */ - - while(blkCnt > 0u) - { - /* C = -A */ - /* Negate and then store the results in the destination buffer. */ \ - in = *pSrc++; - *pDst++ = (in == (q7_t) 0x80) ? 0x7f : -in; - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of negate group - */ diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_offset_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_offset_f32.c deleted file mode 100644 index 4bdf06ee8..000000000 --- a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_offset_f32.c +++ /dev/null @@ -1,158 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010 ARM Limited. All rights reserved. -* -* $Date: 15. February 2012 -* $Revision: V1.1.0 -* -* Project: CMSIS DSP Library -* Title: arm_offset_f32.c -* -* Description: Floating-point vector offset. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Version 1.1.0 2012/02/15 -* Updated with more optimizations, bug fixes and minor API changes. -* -* Version 1.0.10 2011/7/15 -* Big Endian support added and Merged M0 and M3/M4 Source code. -* -* Version 1.0.3 2010/11/29 -* Re-organized the CMSIS folders and updated documentation. -* -* Version 1.0.2 2010/11/11 -* Documentation updated. -* -* Version 1.0.1 2010/10/05 -* Production release and review comments incorporated. -* -* Version 1.0.0 2010/09/20 -* Production release and review comments incorporated. -* -* Version 0.0.7 2010/06/10 -* Misra-C changes done -* ---------------------------------------------------------------------------- */ -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @defgroup offset Vector Offset - * - * Adds a constant offset to each element of a vector. - * - * 
        
- *     pDst[n] = pSrc[n] + offset,   0 <= n < blockSize.        
- *
- * - * There are separate functions for floating-point, Q7, Q15, and Q31 data types. - */ - -/** - * @addtogroup offset - * @{ - */ - -/** - * @brief Adds a constant offset to a floating-point vector. - * @param[in] *pSrc points to the input vector - * @param[in] offset is the offset to be added - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - */ - - -void arm_offset_f32( - float32_t * pSrc, - float32_t offset, - float32_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0 - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - float32_t in1, in2, in3, in4; - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A + offset */ - /* Add offset and then store the results in the destination buffer. */ - /* read samples from source */ - in1 = *pSrc; - in2 = *(pSrc + 1); - - /* add offset to input */ - in1 = in1 + offset; - - /* read samples from source */ - in3 = *(pSrc + 2); - - /* add offset to input */ - in2 = in2 + offset; - - /* read samples from source */ - in4 = *(pSrc + 3); - - /* add offset to input */ - in3 = in3 + offset; - - /* store result to destination */ - *pDst = in1; - - /* add offset to input */ - in4 = in4 + offset; - - /* store result to destination */ - *(pDst + 1) = in2; - - /* store result to destination */ - *(pDst + 2) = in3; - - /* store result to destination */ - *(pDst + 3) = in4; - - /* update pointers to process next samples */ - pSrc += 4u; - pDst += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0 */ - - while(blkCnt > 0u) - { - /* C = A + offset */ - /* Add offset and then store the result in the destination buffer. */ - *pDst++ = (*pSrc++) + offset; - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of offset group - */ diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_offset_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_offset_q15.c deleted file mode 100644 index f8158f066..000000000 --- a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_offset_q15.c +++ /dev/null @@ -1,131 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010 ARM Limited. All rights reserved. -* -* $Date: 15. February 2012 -* $Revision: V1.1.0 -* -* Project: CMSIS DSP Library -* Title: arm_offset_q15.c -* -* Description: Q15 vector offset. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Version 1.1.0 2012/02/15 -* Updated with more optimizations, bug fixes and minor API changes. -* -* Version 1.0.10 2011/7/15 -* Big Endian support added and Merged M0 and M3/M4 Source code. -* -* Version 1.0.3 2010/11/29 -* Re-organized the CMSIS folders and updated documentation. -* -* Version 1.0.2 2010/11/11 -* Documentation updated. -* -* Version 1.0.1 2010/10/05 -* Production release and review comments incorporated. -* -* Version 1.0.0 2010/09/20 -* Production release and review comments incorporated. -* -* Version 0.0.7 2010/06/10 -* Misra-C changes done -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup offset - * @{ - */ - -/** - * @brief Adds a constant offset to a Q15 vector. - * @param[in] *pSrc points to the input vector - * @param[in] offset is the offset to be added - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated. - */ - -void arm_offset_q15( - q15_t * pSrc, - q15_t offset, - q15_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0 - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t offset_packed; /* Offset packed to 32 bit */ - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* Offset is packed to 32 bit in order to use SIMD32 for addition */ - offset_packed = __PKHBT(offset, offset, 16); - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A + offset */ - /* Add offset and then store the results in the destination buffer, 2 samples at a time. */ - *__SIMD32(pDst)++ = __QADD16(*__SIMD32(pSrc)++, offset_packed); - *__SIMD32(pDst)++ = __QADD16(*__SIMD32(pSrc)++, offset_packed); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A + offset */ - /* Add offset and then store the results in the destination buffer. */ - *pDst++ = (q15_t) __QADD16(*pSrc++, offset); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A + offset */ - /* Add offset and then store the results in the destination buffer. */ - *pDst++ = (q15_t) __SSAT(((q31_t) * pSrc++ + offset), 16); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0 */ - -} - -/** - * @} end of offset group - */ diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_offset_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_offset_q31.c deleted file mode 100644 index 8b03ee372..000000000 --- a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_offset_q31.c +++ /dev/null @@ -1,135 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010 ARM Limited. All rights reserved. -* -* $Date: 15. February 2012 -* $Revision: V1.1.0 -* -* Project: CMSIS DSP Library -* Title: arm_offset_q31.c -* -* Description: Q31 vector offset. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Version 1.1.0 2012/02/15 -* Updated with more optimizations, bug fixes and minor API changes. -* -* Version 1.0.10 2011/7/15 -* Big Endian support added and Merged M0 and M3/M4 Source code. -* -* Version 1.0.3 2010/11/29 -* Re-organized the CMSIS folders and updated documentation. -* -* Version 1.0.2 2010/11/11 -* Documentation updated. -* -* Version 1.0.1 2010/10/05 -* Production release and review comments incorporated. -* -* Version 1.0.0 2010/09/20 -* Production release and review comments incorporated. -* -* Version 0.0.7 2010/06/10 -* Misra-C changes done -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup offset - * @{ - */ - -/** - * @brief Adds a constant offset to a Q31 vector. - * @param[in] *pSrc points to the input vector - * @param[in] offset is the offset to be added - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] are saturated. - */ - -void arm_offset_q31( - q31_t * pSrc, - q31_t offset, - q31_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0 - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t in1, in2, in3, in4; - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A + offset */ - /* Add offset and then store the results in the destination buffer. */ - in1 = *pSrc++; - in2 = *pSrc++; - in3 = *pSrc++; - in4 = *pSrc++; - - *pDst++ = __QADD(in1, offset); - *pDst++ = __QADD(in2, offset); - *pDst++ = __QADD(in3, offset); - *pDst++ = __QADD(in4, offset); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A + offset */ - /* Add offset and then store the result in the destination buffer. */ - *pDst++ = __QADD(*pSrc++, offset); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A + offset */ - /* Add offset and then store the result in the destination buffer. */ - *pDst++ = (q31_t) clip_q63_to_q31((q63_t) * pSrc++ + offset); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0 */ - -} - -/** - * @} end of offset group - */ diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_offset_q7.c b/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_offset_q7.c deleted file mode 100644 index 56643816f..000000000 --- a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_offset_q7.c +++ /dev/null @@ -1,130 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010 ARM Limited. All rights reserved. -* -* $Date: 15. February 2012 -* $Revision: V1.1.0 -* -* Project: CMSIS DSP Library -* Title: arm_offset_q7.c -* -* Description: Q7 vector offset. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Version 1.1.0 2012/02/15 -* Updated with more optimizations, bug fixes and minor API changes. -* -* Version 1.0.10 2011/7/15 -* Big Endian support added and Merged M0 and M3/M4 Source code. -* -* Version 1.0.3 2010/11/29 -* Re-organized the CMSIS folders and updated documentation. -* -* Version 1.0.2 2010/11/11 -* Documentation updated. -* -* Version 1.0.1 2010/10/05 -* Production release and review comments incorporated. -* -* Version 1.0.0 2010/09/20 -* Production release and review comments incorporated. -* -* Version 0.0.7 2010/06/10 -* Misra-C changes done -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup offset - * @{ - */ - -/** - * @brief Adds a constant offset to a Q7 vector. - * @param[in] *pSrc points to the input vector - * @param[in] offset is the offset to be added - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q7 range [0x80 0x7F] are saturated. - */ - -void arm_offset_q7( - q7_t * pSrc, - q7_t offset, - q7_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0 - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t offset_packed; /* Offset packed to 32 bit */ - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* Offset is packed to 32 bit in order to use SIMD32 for addition */ - offset_packed = __PACKq7(offset, offset, offset, offset); - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A + offset */ - /* Add offset and then store the results in the destination bufferfor 4 samples at a time. */ - *__SIMD32(pDst)++ = __QADD8(*__SIMD32(pSrc)++, offset_packed); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A + offset */ - /* Add offset and then store the result in the destination buffer. */ - *pDst++ = (q7_t) __SSAT(*pSrc++ + offset, 8); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A + offset */ - /* Add offset and then store the result in the destination buffer. */ - *pDst++ = (q7_t) __SSAT((q15_t) * pSrc++ + offset, 8); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0 */ - -} - -/** - * @} end of offset group - */ diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_scale_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_scale_f32.c deleted file mode 100644 index b77144a3e..000000000 --- a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_scale_f32.c +++ /dev/null @@ -1,161 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010 ARM Limited. All rights reserved. -* -* $Date: 15. February 2012 -* $Revision: V1.1.0 -* -* Project: CMSIS DSP Library -* Title: arm_scale_f32.c -* -* Description: Multiplies a floating-point vector by a scalar. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Version 1.1.0 2012/02/15 -* Updated with more optimizations, bug fixes and minor API changes. -* -* Version 1.0.10 2011/7/15 -* Big Endian support added and Merged M0 and M3/M4 Source code. -* -* Version 1.0.3 2010/11/29 -* Re-organized the CMSIS folders and updated documentation. -* -* Version 1.0.2 2010/11/11 -* Documentation updated. -* -* Version 1.0.1 2010/10/05 -* Production release and review comments incorporated. -* -* Version 1.0.0 2010/09/20 -* Production release and review comments incorporated -* -* Version 0.0.7 2010/06/10 -* Misra-C changes done -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @defgroup scale Vector Scale - * - * Multiply a vector by a scalar value. For floating-point data, the algorithm used is: - * - * 
        
- *     pDst[n] = pSrc[n] * scale,   0 <= n < blockSize.        
- *
- * - * In the fixed-point Q7, Q15, and Q31 functions, scale is represented by - * a fractional multiplication scaleFract and an arithmetic shift shift. - * The shift allows the gain of the scaling operation to exceed 1.0. - * The algorithm used with fixed-point data is: - * - * 
        
- *     pDst[n] = (pSrc[n] * scaleFract) << shift,   0 <= n < blockSize.        
- *
- * - * The overall scale factor applied to the fixed-point data is - * 
        
- *     scale = scaleFract * 2^shift.        
- *
- */ - -/** - * @addtogroup scale - * @{ - */ - -/** - * @brief Multiplies a floating-point vector by a scalar. - * @param[in] *pSrc points to the input vector - * @param[in] scale scale factor to be applied - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - */ - - -void arm_scale_f32( - float32_t * pSrc, - float32_t scale, - float32_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ -#ifndef ARM_MATH_CM0 - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - float32_t in1, in2, in3, in4; /* temporary variabels */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A * scale */ - /* Scale the input and then store the results in the destination buffer. */ - /* read input samples from source */ - in1 = *pSrc; - in2 = *(pSrc + 1); - - /* multiply with scaling factor */ - in1 = in1 * scale; - - /* read input sample from source */ - in3 = *(pSrc + 2); - - /* multiply with scaling factor */ - in2 = in2 * scale; - - /* read input sample from source */ - in4 = *(pSrc + 3); - - /* multiply with scaling factor */ - in3 = in3 * scale; - in4 = in4 * scale; - /* store the result to destination */ - *pDst = in1; - *(pDst + 1) = in2; - *(pDst + 2) = in3; - *(pDst + 3) = in4; - - /* update pointers to process next samples */ - pSrc += 4u; - pDst += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0 */ - - while(blkCnt > 0u) - { - /* C = A * scale */ - /* Scale the input and then store the result in the destination buffer. */ - *pDst++ = (*pSrc++) * scale; - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of scale group - */ diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_scale_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_scale_q15.c deleted file mode 100644 index 9e79202fe..000000000 --- a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_scale_q15.c +++ /dev/null @@ -1,157 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010 ARM Limited. All rights reserved. -* -* $Date: 15. February 2012 -* $Revision: V1.1.0 -* -* Project: CMSIS DSP Library -* Title: arm_scale_q15.c -* -* Description: Multiplies a Q15 vector by a scalar. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Version 1.1.0 2012/02/15 -* Updated with more optimizations, bug fixes and minor API changes. -* -* Version 1.0.10 2011/7/15 -* Big Endian support added and Merged M0 and M3/M4 Source code. -* -* Version 1.0.3 2010/11/29 -* Re-organized the CMSIS folders and updated documentation. -* -* Version 1.0.2 2010/11/11 -* Documentation updated. -* -* Version 1.0.1 2010/10/05 -* Production release and review comments incorporated. -* -* Version 1.0.0 2010/09/20 -* Production release and review comments incorporated -* -* Version 0.0.7 2010/06/10 -* Misra-C changes done -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup scale - * @{ - */ - -/** - * @brief Multiplies a Q15 vector by a scalar. - * @param[in] *pSrc points to the input vector - * @param[in] scaleFract fractional portion of the scale value - * @param[in] shift number of bits to shift the result by - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The input data *pSrc and scaleFract are in 1.15 format. - * These are multiplied to yield a 2.30 intermediate result and this is shifted with saturation to 1.15 format. - */ - - -void arm_scale_q15( - q15_t * pSrc, - q15_t scaleFract, - int8_t shift, - q15_t * pDst, - uint32_t blockSize) -{ - int8_t kShift = 15 - shift; /* shift to apply after scaling */ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0 - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q15_t in1, in2, in3, in4; - q31_t inA1, inA2; /* Temporary variables */ - q31_t out1, out2, out3, out4; - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* Reading 2 inputs from memory */ - inA1 = *__SIMD32(pSrc)++; - inA2 = *__SIMD32(pSrc)++; - - /* C = A * scale */ - /* Scale the inputs and then store the 2 results in the destination buffer - * in single cycle by packing the outputs */ - out1 = (q31_t) ((q15_t) (inA1 >> 16) * scaleFract); - out2 = (q31_t) ((q15_t) inA1 * scaleFract); - out3 = (q31_t) ((q15_t) (inA2 >> 16) * scaleFract); - out4 = (q31_t) ((q15_t) inA2 * scaleFract); - - /* apply shifting */ - out1 = out1 >> kShift; - out2 = out2 >> kShift; - out3 = out3 >> kShift; - out4 = out4 >> kShift; - - /* saturate the output */ - in1 = (q15_t) (__SSAT(out1, 16)); - in2 = (q15_t) (__SSAT(out2, 16)); - in3 = (q15_t) (__SSAT(out3, 16)); - in4 = (q15_t) (__SSAT(out4, 16)); - - /* store the result to destination */ - *__SIMD32(pDst)++ = __PKHBT(in2, in1, 16); - *__SIMD32(pDst)++ = __PKHBT(in4, in3, 16); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A * scale */ - /* Scale the input and then store the result in the destination buffer. */ - *pDst++ = (q15_t) (__SSAT(((*pSrc++) * scaleFract) >> kShift, 16)); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A * scale */ - /* Scale the input and then store the result in the destination buffer. */ - *pDst++ = (q15_t) (__SSAT(((q31_t) * pSrc++ * scaleFract) >> kShift, 16)); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0 */ - -} - -/** - * @} end of scale group - */ diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_scale_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_scale_q31.c deleted file mode 100644 index 8e9b50e72..000000000 --- a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_scale_q31.c +++ /dev/null @@ -1,221 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010 ARM Limited. All rights reserved. -* -* $Date: 15. February 2012 -* $Revision: V1.1.0 -* -* Project: CMSIS DSP Library -* Title: arm_scale_q31.c -* -* Description: Multiplies a Q31 vector by a scalar. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Version 1.1.0 2012/02/15 -* Updated with more optimizations, bug fixes and minor API changes. -* -* Version 1.0.10 2011/7/15 -* Big Endian support added and Merged M0 and M3/M4 Source code. -* -* Version 1.0.3 2010/11/29 -* Re-organized the CMSIS folders and updated documentation. -* -* Version 1.0.2 2010/11/11 -* Documentation updated. -* -* Version 1.0.1 2010/10/05 -* Production release and review comments incorporated. -* -* Version 1.0.0 2010/09/20 -* Production release and review comments incorporated -* -* Version 0.0.7 2010/06/10 -* Misra-C changes done -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup scale - * @{ - */ - -/** - * @brief Multiplies a Q31 vector by a scalar. - * @param[in] *pSrc points to the input vector - * @param[in] scaleFract fractional portion of the scale value - * @param[in] shift number of bits to shift the result by - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The input data *pSrc and scaleFract are in 1.31 format. - * These are multiplied to yield a 2.62 intermediate result and this is shifted with saturation to 1.31 format. - */ - -void arm_scale_q31( - q31_t * pSrc, - q31_t scaleFract, - int8_t shift, - q31_t * pDst, - uint32_t blockSize) -{ - int8_t kShift = shift + 1; /* Shift to apply after scaling */ - int8_t sign = (kShift & 0x80); - uint32_t blkCnt; /* loop counter */ - q31_t in, out; - -#ifndef ARM_MATH_CM0 - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - - q31_t in1, in2, in3, in4; /* temporary input variables */ - q31_t out1, out2, out3, out4; /* temporary output variabels */ - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - if(sign == 0u) - { - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* read four inputs from source */ - in1 = *pSrc; - in2 = *(pSrc + 1); - in3 = *(pSrc + 2); - in4 = *(pSrc + 3); - - /* multiply input with scaler value */ - in1 = ((q63_t) in1 * scaleFract) >> 32; - in2 = ((q63_t) in2 * scaleFract) >> 32; - in3 = ((q63_t) in3 * scaleFract) >> 32; - in4 = ((q63_t) in4 * scaleFract) >> 32; - - /* apply shifting */ - out1 = in1 << kShift; - out2 = in2 << kShift; - - /* saturate the results. */ - if(in1 != (out1 >> kShift)) - out1 = 0x7FFFFFFF ^ (in1 >> 31); - - if(in2 != (out2 >> kShift)) - out2 = 0x7FFFFFFF ^ (in2 >> 31); - - out3 = in3 << kShift; - out4 = in4 << kShift; - - *pDst = out1; - *(pDst + 1) = out2; - - if(in3 != (out3 >> kShift)) - out3 = 0x7FFFFFFF ^ (in3 >> 31); - - if(in4 != (out4 >> kShift)) - out4 = 0x7FFFFFFF ^ (in4 >> 31); - - /* Store result destination */ - *(pDst + 2) = out3; - *(pDst + 3) = out4; - - /* Update pointers to process next sampels */ - pSrc += 4u; - pDst += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - } - else - { - kShift = -kShift; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* read four inputs from source */ - in1 = *pSrc; - in2 = *(pSrc + 1); - in3 = *(pSrc + 2); - in4 = *(pSrc + 3); - - /* multiply input with scaler value */ - in1 = ((q63_t) in1 * scaleFract) >> 32; - in2 = ((q63_t) in2 * scaleFract) >> 32; - in3 = ((q63_t) in3 * scaleFract) >> 32; - in4 = ((q63_t) in4 * scaleFract) >> 32; - - /* apply shifting */ - out1 = in1 >> kShift; - out2 = in2 >> kShift; - - out3 = in3 >> kShift; - out4 = in4 >> kShift; - - /* Store result destination */ - *pDst = out1; - *(pDst + 1) = out2; - - *(pDst + 2) = out3; - *(pDst + 3) = out4; - - /* Update pointers to process next sampels */ - pSrc += 4u; - pDst += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - } - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0 */ - - while(blkCnt > 0u) - { - /* C = A * scale */ - /* Scale the input and then store the result in the destination buffer. */ - in = *pSrc++; - in = ((q63_t) in * scaleFract) >> 32; - - if(sign == 0) - { - out = in << kShift; - if(in != (out >> kShift)) - out = 0x7FFFFFFF ^ (in >> 31); - } - else - { - out = in >> kShift; - } - - *pDst++ = out; - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of scale group - */ diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_scale_q7.c b/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_scale_q7.c deleted file mode 100644 index 76c35e656..000000000 --- a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_scale_q7.c +++ /dev/null @@ -1,144 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010 ARM Limited. All rights reserved. -* -* $Date: 15. February 2012 -* $Revision: V1.1.0 -* -* Project: CMSIS DSP Library -* Title: arm_scale_q7.c -* -* Description: Multiplies a Q7 vector by a scalar. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Version 1.1.0 2012/02/15 -* Updated with more optimizations, bug fixes and minor API changes. -* -* Version 1.0.10 2011/7/15 -* Big Endian support added and Merged M0 and M3/M4 Source code. -* -* Version 1.0.3 2010/11/29 -* Re-organized the CMSIS folders and updated documentation. -* -* Version 1.0.2 2010/11/11 -* Documentation updated. -* -* Version 1.0.1 2010/10/05 -* Production release and review comments incorporated. -* -* Version 1.0.0 2010/09/20 -* Production release and review comments incorporated -* -* Version 0.0.7 2010/06/10 -* Misra-C changes done -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup scale - * @{ - */ - -/** - * @brief Multiplies a Q7 vector by a scalar. - * @param[in] *pSrc points to the input vector - * @param[in] scaleFract fractional portion of the scale value - * @param[in] shift number of bits to shift the result by - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The input data *pSrc and scaleFract are in 1.7 format. - * These are multiplied to yield a 2.14 intermediate result and this is shifted with saturation to 1.7 format. - */ - -void arm_scale_q7( - q7_t * pSrc, - q7_t scaleFract, - int8_t shift, - q7_t * pDst, - uint32_t blockSize) -{ - int8_t kShift = 7 - shift; /* shift to apply after scaling */ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0 - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q7_t in1, in2, in3, in4, out1, out2, out3, out4; /* Temporary variables to store input & output */ - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* Reading 4 inputs from memory */ - in1 = *pSrc++; - in2 = *pSrc++; - in3 = *pSrc++; - in4 = *pSrc++; - - /* C = A * scale */ - /* Scale the inputs and then store the results in the temporary variables. */ - out1 = (q7_t) (__SSAT(((in1) * scaleFract) >> kShift, 8)); - out2 = (q7_t) (__SSAT(((in2) * scaleFract) >> kShift, 8)); - out3 = (q7_t) (__SSAT(((in3) * scaleFract) >> kShift, 8)); - out4 = (q7_t) (__SSAT(((in4) * scaleFract) >> kShift, 8)); - - /* Packing the individual outputs into 32bit and storing in - * destination buffer in single write */ - *__SIMD32(pDst)++ = __PACKq7(out1, out2, out3, out4); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A * scale */ - /* Scale the input and then store the result in the destination buffer. */ - *pDst++ = (q7_t) (__SSAT(((*pSrc++) * scaleFract) >> kShift, 8)); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A * scale */ - /* Scale the input and then store the result in the destination buffer. */ - *pDst++ = (q7_t) (__SSAT((((q15_t) * pSrc++ * scaleFract) >> kShift), 8)); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0 */ - -} - -/** - * @} end of scale group - */ diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_shift_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_shift_q15.c deleted file mode 100644 index b8301e63d..000000000 --- a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_shift_q15.c +++ /dev/null @@ -1,243 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010 ARM Limited. All rights reserved. -* -* $Date: 15. February 2012 -* $Revision: V1.1.0 -* -* Project: CMSIS DSP Library -* Title: arm_shift_q15.c -* -* Description: Shifts the elements of a Q15 vector by a specified number of bits. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Version 1.1.0 2012/02/15 -* Updated with more optimizations, bug fixes and minor API changes. -* -* Version 1.0.10 2011/7/15 -* Big Endian support added and Merged M0 and M3/M4 Source code. -* -* Version 1.0.3 2010/11/29 -* Re-organized the CMSIS folders and updated documentation. -* -* Version 1.0.2 2010/11/11 -* Documentation updated. -* -* Version 1.0.1 2010/10/05 -* Production release and review comments incorporated. -* -* Version 1.0.0 2010/09/20 -* Production release and review comments incorporated. -* -* Version 0.0.7 2010/06/10 -* Misra-C changes done -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup shift - * @{ - */ - -/** - * @brief Shifts the elements of a Q15 vector a specified number of bits. - * @param[in] *pSrc points to the input vector - * @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right. - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated. - */ - -void arm_shift_q15( - q15_t * pSrc, - int8_t shiftBits, - q15_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - uint8_t sign; /* Sign of shiftBits */ - -#ifndef ARM_MATH_CM0 - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - - q15_t in1, in2; /* Temporary variables */ - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* Getting the sign of shiftBits */ - sign = (shiftBits & 0x80); - - /* If the shift value is positive then do right shift else left shift */ - if(sign == 0u) - { - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* Read 2 inputs */ - in1 = *pSrc++; - in2 = *pSrc++; - /* C = A << shiftBits */ - /* Shift the inputs and then store the results in the destination buffer. */ -#ifndef ARM_MATH_BIG_ENDIAN - - *__SIMD32(pDst)++ = __PKHBT(__SSAT((in1 << shiftBits), 16), - __SSAT((in2 << shiftBits), 16), 16); - -#else - - *__SIMD32(pDst)++ = __PKHBT(__SSAT((in2 << shiftBits), 16), - __SSAT((in1 << shiftBits), 16), 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - in1 = *pSrc++; - in2 = *pSrc++; - -#ifndef ARM_MATH_BIG_ENDIAN - - *__SIMD32(pDst)++ = __PKHBT(__SSAT((in1 << shiftBits), 16), - __SSAT((in2 << shiftBits), 16), 16); - -#else - - *__SIMD32(pDst)++ = __PKHBT(__SSAT((in2 << shiftBits), 16), - __SSAT((in1 << shiftBits), 16), 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A << shiftBits */ - /* Shift and then store the results in the destination buffer. */ - *pDst++ = __SSAT((*pSrc++ << shiftBits), 16); - - /* Decrement the loop counter */ - blkCnt--; - } - } - else - { - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* Read 2 inputs */ - in1 = *pSrc++; - in2 = *pSrc++; - - /* C = A >> shiftBits */ - /* Shift the inputs and then store the results in the destination buffer. */ -#ifndef ARM_MATH_BIG_ENDIAN - - *__SIMD32(pDst)++ = __PKHBT((in1 >> -shiftBits), - (in2 >> -shiftBits), 16); - -#else - - *__SIMD32(pDst)++ = __PKHBT((in2 >> -shiftBits), - (in1 >> -shiftBits), 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - in1 = *pSrc++; - in2 = *pSrc++; - -#ifndef ARM_MATH_BIG_ENDIAN - - *__SIMD32(pDst)++ = __PKHBT((in1 >> -shiftBits), - (in2 >> -shiftBits), 16); - -#else - - *__SIMD32(pDst)++ = __PKHBT((in2 >> -shiftBits), - (in1 >> -shiftBits), 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A >> shiftBits */ - /* Shift the inputs and then store the results in the destination buffer. */ - *pDst++ = (*pSrc++ >> -shiftBits); - - /* Decrement the loop counter */ - blkCnt--; - } - } - -#else - - /* Run the below code for Cortex-M0 */ - - /* Getting the sign of shiftBits */ - sign = (shiftBits & 0x80); - - /* If the shift value is positive then do right shift else left shift */ - if(sign == 0u) - { - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A << shiftBits */ - /* Shift and then store the results in the destination buffer. */ - *pDst++ = __SSAT(((q31_t) * pSrc++ << shiftBits), 16); - - /* Decrement the loop counter */ - blkCnt--; - } - } - else - { - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A >> shiftBits */ - /* Shift the inputs and then store the results in the destination buffer. */ - *pDst++ = (*pSrc++ >> -shiftBits); - - /* Decrement the loop counter */ - blkCnt--; - } - } - -#endif /* #ifndef ARM_MATH_CM0 */ - -} - -/** - * @} end of shift group - */ diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_shift_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_shift_q31.c deleted file mode 100644 index 561225a89..000000000 --- a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_shift_q31.c +++ /dev/null @@ -1,195 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010 ARM Limited. All rights reserved. -* -* $Date: 15. February 2012 -* $Revision: V1.1.0 -* -* Project: CMSIS DSP Library -* Title: arm_shift_q31.c -* -* Description: Shifts the elements of a Q31 vector by a specified number of bits. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Version 1.1.0 2012/02/15 -* Updated with more optimizations, bug fixes and minor API changes. -* -* Version 1.0.10 2011/7/15 -* Big Endian support added and Merged M0 and M3/M4 Source code. -* -* Version 1.0.3 2010/11/29 -* Re-organized the CMSIS folders and updated documentation. -* -* Version 1.0.2 2010/11/11 -* Documentation updated. -* -* Version 1.0.1 2010/10/05 -* Production release and review comments incorporated. -* -* Version 1.0.0 2010/09/20 -* Production release and review comments incorporated. -* -* Version 0.0.7 2010/06/10 -* Misra-C changes done -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ -/** - * @defgroup shift Vector Shift - * - * Shifts the elements of a fixed-point vector by a specified number of bits. - * There are separate functions for Q7, Q15, and Q31 data types. - * The underlying algorithm used is: - * - * 
        
- *     pDst[n] = pSrc[n] << shift,   0 <= n < blockSize.        
- *
- * - * If shift is positive then the elements of the vector are shifted to the left. - * If shift is negative then the elements of the vector are shifted to the right. - */ - -/** - * @addtogroup shift - * @{ - */ - -/** - * @brief Shifts the elements of a Q31 vector a specified number of bits. - * @param[in] *pSrc points to the input vector - * @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right. - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - * - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] will be saturated. - */ - -void arm_shift_q31( - q31_t * pSrc, - int8_t shiftBits, - q31_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - uint8_t sign = (shiftBits & 0x80); /* Sign of shiftBits */ - -#ifndef ARM_MATH_CM0 - - q31_t in1, in2, in3, in4; /* Temporary input variables */ - q31_t out1, out2, out3, out4; /* Temporary output variables */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - - if(sign == 0u) - { - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A << shiftBits */ - /* Shift the input and then store the results in the destination buffer. */ - in1 = *pSrc; - in2 = *(pSrc + 1); - out1 = in1 << shiftBits; - in3 = *(pSrc + 2); - out2 = in2 << shiftBits; - in4 = *(pSrc + 3); - if(in1 != (out1 >> shiftBits)) - out1 = 0x7FFFFFFF ^ (in1 >> 31); - - if(in2 != (out2 >> shiftBits)) - out2 = 0x7FFFFFFF ^ (in2 >> 31); - - *pDst = out1; - out3 = in3 << shiftBits; - *(pDst + 1) = out2; - out4 = in4 << shiftBits; - - if(in3 != (out3 >> shiftBits)) - out3 = 0x7FFFFFFF ^ (in3 >> 31); - - if(in4 != (out4 >> shiftBits)) - out4 = 0x7FFFFFFF ^ (in4 >> 31); - - *(pDst + 2) = out3; - *(pDst + 3) = out4; - - /* Update destination pointer to process next sampels */ - pSrc += 4u; - pDst += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - } - else - { - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A >> shiftBits */ - /* Shift the input and then store the results in the destination buffer. */ - in1 = *pSrc; - in2 = *(pSrc + 1); - in3 = *(pSrc + 2); - in4 = *(pSrc + 3); - - *pDst = (in1 >> -shiftBits); - *(pDst + 1) = (in2 >> -shiftBits); - *(pDst + 2) = (in3 >> -shiftBits); - *(pDst + 3) = (in4 >> -shiftBits); - - - pSrc += 4u; - pDst += 4u; - - blkCnt--; - } - - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0 */ - - - while(blkCnt > 0u) - { - /* C = A (>> or <<) shiftBits */ - /* Shift the input and then store the result in the destination buffer. */ - *pDst++ = (sign == 0u) ? clip_q63_to_q31((q63_t) * pSrc++ << shiftBits) : - (*pSrc++ >> -shiftBits); - - /* Decrement the loop counter */ - blkCnt--; - } - - -} - -/** - * @} end of shift group - */ diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_shift_q7.c b/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_shift_q7.c deleted file mode 100644 index 6dfd25f65..000000000 --- a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_shift_q7.c +++ /dev/null @@ -1,215 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010 ARM Limited. All rights reserved. -* -* $Date: 15. February 2012 -* $Revision: V1.1.0 -* -* Project: CMSIS DSP Library -* Title: arm_shift_q7.c -* -* Description: Processing function for the Q7 Shifting -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Version 1.1.0 2012/02/15 -* Updated with more optimizations, bug fixes and minor API changes. -* -* Version 1.0.10 2011/7/15 -* Big Endian support added and Merged M0 and M3/M4 Source code. -* -* Version 1.0.3 2010/11/29 -* Re-organized the CMSIS folders and updated documentation. -* -* Version 1.0.2 2010/11/11 -* Documentation updated. -* -* Version 1.0.1 2010/10/05 -* Production release and review comments incorporated. -* -* Version 1.0.0 2010/09/20 -* Production release and review comments incorporated. -* -* Version 0.0.7 2010/06/10 -* Misra-C changes done -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup shift - * @{ - */ - - -/** - * @brief Shifts the elements of a Q7 vector a specified number of bits. - * @param[in] *pSrc points to the input vector - * @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right. - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - * - * \par Conditions for optimum performance - * Input and output buffers should be aligned by 32-bit - * - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q7 range [0x8 0x7F] will be saturated. - */ - -void arm_shift_q7( - q7_t * pSrc, - int8_t shiftBits, - q7_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - uint8_t sign; /* Sign of shiftBits */ - -#ifndef ARM_MATH_CM0 - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q7_t in1; /* Input value1 */ - q7_t in2; /* Input value2 */ - q7_t in3; /* Input value3 */ - q7_t in4; /* Input value4 */ - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* Getting the sign of shiftBits */ - sign = (shiftBits & 0x80); - - /* If the shift value is positive then do right shift else left shift */ - if(sign == 0u) - { - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A << shiftBits */ - /* Read 4 inputs */ - in1 = *pSrc; - in2 = *(pSrc + 1); - in3 = *(pSrc + 2); - in4 = *(pSrc + 3); - - /* Store the Shifted result in the destination buffer in single cycle by packing the outputs */ - *__SIMD32(pDst)++ = __PACKq7(__SSAT((in1 << shiftBits), 8), - __SSAT((in2 << shiftBits), 8), - __SSAT((in3 << shiftBits), 8), - __SSAT((in4 << shiftBits), 8)); - /* Update source pointer to process next sampels */ - pSrc += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A << shiftBits */ - /* Shift the input and then store the result in the destination buffer. */ - *pDst++ = (q7_t) __SSAT((*pSrc++ << shiftBits), 8); - - /* Decrement the loop counter */ - blkCnt--; - } - } - else - { - shiftBits = -shiftBits; - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A >> shiftBits */ - /* Read 4 inputs */ - in1 = *pSrc; - in2 = *(pSrc + 1); - in3 = *(pSrc + 2); - in4 = *(pSrc + 3); - - /* Store the Shifted result in the destination buffer in single cycle by packing the outputs */ - *__SIMD32(pDst)++ = __PACKq7((in1 >> shiftBits), (in2 >> shiftBits), - (in3 >> shiftBits), (in4 >> shiftBits)); - - - pSrc += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A >> shiftBits */ - /* Shift the input and then store the result in the destination buffer. */ - in1 = *pSrc++; - *pDst++ = (in1 >> shiftBits); - - /* Decrement the loop counter */ - blkCnt--; - } - } - -#else - - /* Run the below code for Cortex-M0 */ - - /* Getting the sign of shiftBits */ - sign = (shiftBits & 0x80); - - /* If the shift value is positive then do right shift else left shift */ - if(sign == 0u) - { - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A << shiftBits */ - /* Shift the input and then store the result in the destination buffer. */ - *pDst++ = (q7_t) __SSAT(((q15_t) * pSrc++ << shiftBits), 8); - - /* Decrement the loop counter */ - blkCnt--; - } - } - else - { - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A >> shiftBits */ - /* Shift the input and then store the result in the destination buffer. */ - *pDst++ = (*pSrc++ >> -shiftBits); - - /* Decrement the loop counter */ - blkCnt--; - } - } - -#endif /* #ifndef ARM_MATH_CM0 */ -} - -/** - * @} end of shift group - */ diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_sub_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_sub_f32.c deleted file mode 100644 index 4a660db49..000000000 --- a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_sub_f32.c +++ /dev/null @@ -1,145 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010 ARM Limited. All rights reserved. -* -* $Date: 15. February 2012 -* $Revision: V1.1.0 -* -* Project: CMSIS DSP Library -* Title: arm_sub_f32.c -* -* Description: Floating-point vector subtraction. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Version 1.1.0 2012/02/15 -* Updated with more optimizations, bug fixes and minor API changes. -* -* Version 1.0.10 2011/7/15 -* Big Endian support added and Merged M0 and M3/M4 Source code. -* -* Version 1.0.3 2010/11/29 -* Re-organized the CMSIS folders and updated documentation. -* -* Version 1.0.2 2010/11/11 -* Documentation updated. -* -* Version 1.0.1 2010/10/05 -* Production release and review comments incorporated. -* -* Version 1.0.0 2010/09/20 -* Production release and review comments incorporated. -* -* Version 0.0.7 2010/06/10 -* Misra-C changes done -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @defgroup BasicSub Vector Subtraction - * - * Element-by-element subtraction of two vectors. - * - * 
        
- *     pDst[n] = pSrcA[n] - pSrcB[n],   0 <= n < blockSize.        
- *
- * - * There are separate functions for floating-point, Q7, Q15, and Q31 data types. - */ - -/** - * @addtogroup BasicSub - * @{ - */ - - -/** - * @brief Floating-point vector subtraction. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in each vector - * @return none. - */ - -void arm_sub_f32( - float32_t * pSrcA, - float32_t * pSrcB, - float32_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0 - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - float32_t inA1, inA2, inA3, inA4; /* temporary variables */ - float32_t inB1, inB2, inB3, inB4; /* temporary variables */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A - B */ - /* Subtract and then store the results in the destination buffer. */ - /* Read 4 input samples from sourceA and sourceB */ - inA1 = *pSrcA; - inB1 = *pSrcB; - inA2 = *(pSrcA + 1); - inB2 = *(pSrcB + 1); - inA3 = *(pSrcA + 2); - inB3 = *(pSrcB + 2); - inA4 = *(pSrcA + 3); - inB4 = *(pSrcB + 3); - - /* dst = srcA - srcB */ - /* subtract and store the result */ - *pDst = inA1 - inB1; - *(pDst + 1) = inA2 - inB2; - *(pDst + 2) = inA3 - inB3; - *(pDst + 3) = inA4 - inB4; - - - /* Update pointers to process next sampels */ - pSrcA += 4u; - pSrcB += 4u; - pDst += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0 */ - - while(blkCnt > 0u) - { - /* C = A - B */ - /* Subtract and then store the results in the destination buffer. */ - *pDst++ = (*pSrcA++) - (*pSrcB++); - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of BasicSub group - */ diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_sub_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_sub_q15.c deleted file mode 100644 index d8cc12220..000000000 --- a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_sub_q15.c +++ /dev/null @@ -1,135 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010 ARM Limited. All rights reserved. -* -* $Date: 15. February 2012 -* $Revision: V1.1.0 -* -* Project: CMSIS DSP Library -* Title: arm_sub_q15.c -* -* Description: Q15 vector subtraction. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Version 1.1.0 2012/02/15 -* Updated with more optimizations, bug fixes and minor API changes. -* -* Version 1.0.10 2011/7/15 -* Big Endian support added and Merged M0 and M3/M4 Source code. -* -* Version 1.0.3 2010/11/29 -* Re-organized the CMSIS folders and updated documentation. -* -* Version 1.0.2 2010/11/11 -* Documentation updated. -* -* Version 1.0.1 2010/10/05 -* Production release and review comments incorporated. -* -* Version 1.0.0 2010/09/20 -* Production release and review comments incorporated. -* -* Version 0.0.7 2010/06/10 -* Misra-C changes done -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup BasicSub - * @{ - */ - -/** - * @brief Q15 vector subtraction. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in each vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated. - */ - -void arm_sub_q15( - q15_t * pSrcA, - q15_t * pSrcB, - q15_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - - -#ifndef ARM_MATH_CM0 - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t inA1, inA2; - q31_t inB1, inB2; - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A - B */ - /* Subtract and then store the results in the destination buffer two samples at a time. */ - inA1 = *__SIMD32(pSrcA)++; - inA2 = *__SIMD32(pSrcA)++; - inB1 = *__SIMD32(pSrcB)++; - inB2 = *__SIMD32(pSrcB)++; - - *__SIMD32(pDst)++ = __QSUB16(inA1, inB1); - *__SIMD32(pDst)++ = __QSUB16(inA2, inB2); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A - B */ - /* Subtract and then store the result in the destination buffer. */ - *pDst++ = (q15_t) __QSUB16(*pSrcA++, *pSrcB++); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A - B */ - /* Subtract and then store the result in the destination buffer. */ - *pDst++ = (q15_t) __SSAT(((q31_t) * pSrcA++ - *pSrcB++), 16); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0 */ - - -} - -/** - * @} end of BasicSub group - */ diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_sub_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_sub_q31.c deleted file mode 100644 index 34642f32e..000000000 --- a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_sub_q31.c +++ /dev/null @@ -1,141 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010 ARM Limited. All rights reserved. -* -* $Date: 15. February 2012 -* $Revision: V1.1.0 -* -* Project: CMSIS DSP Library -* Title: arm_sub_q31.c -* -* Description: Q31 vector subtraction. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Version 1.1.0 2012/02/15 -* Updated with more optimizations, bug fixes and minor API changes. -* -* Version 1.0.10 2011/7/15 -* Big Endian support added and Merged M0 and M3/M4 Source code. -* -* Version 1.0.3 2010/11/29 -* Re-organized the CMSIS folders and updated documentation. -* -* Version 1.0.2 2010/11/11 -* Documentation updated. -* -* Version 1.0.1 2010/10/05 -* Production release and review comments incorporated. -* -* Version 1.0.0 2010/09/20 -* Production release and review comments incorporated. -* -* Version 0.0.7 2010/06/10 -* Misra-C changes done -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup BasicSub - * @{ - */ - -/** - * @brief Q31 vector subtraction. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in each vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] will be saturated. - */ - -void arm_sub_q31( - q31_t * pSrcA, - q31_t * pSrcB, - q31_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - - -#ifndef ARM_MATH_CM0 - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t inA1, inA2, inA3, inA4; - q31_t inB1, inB2, inB3, inB4; - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A - B */ - /* Subtract and then store the results in the destination buffer. */ - inA1 = *pSrcA++; - inA2 = *pSrcA++; - inB1 = *pSrcB++; - inB2 = *pSrcB++; - - inA3 = *pSrcA++; - inA4 = *pSrcA++; - inB3 = *pSrcB++; - inB4 = *pSrcB++; - - *pDst++ = __QSUB(inA1, inB1); - *pDst++ = __QSUB(inA2, inB2); - *pDst++ = __QSUB(inA3, inB3); - *pDst++ = __QSUB(inA4, inB4); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A - B */ - /* Subtract and then store the result in the destination buffer. */ - *pDst++ = __QSUB(*pSrcA++, *pSrcB++); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A - B */ - /* Subtract and then store the result in the destination buffer. */ - *pDst++ = (q31_t) clip_q63_to_q31((q63_t) * pSrcA++ - *pSrcB++); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0 */ - -} - -/** - * @} end of BasicSub group - */ diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_sub_q7.c b/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_sub_q7.c deleted file mode 100644 index adbc7d0c0..000000000 --- a/apps/mathlib/CMSIS/DSP_Lib/Source/BasicMathFunctions/arm_sub_q7.c +++ /dev/null @@ -1,126 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010 ARM Limited. All rights reserved. -* -* $Date: 15. February 2012 -* $Revision: V1.1.0 -* -* Project: CMSIS DSP Library -* Title: arm_sub_q7.c -* -* Description: Q7 vector subtraction. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Version 1.1.0 2012/02/15 -* Updated with more optimizations, bug fixes and minor API changes. -* -* Version 1.0.10 2011/7/15 -* Big Endian support added and Merged M0 and M3/M4 Source code. -* -* Version 1.0.3 2010/11/29 -* Re-organized the CMSIS folders and updated documentation. -* -* Version 1.0.2 2010/11/11 -* Documentation updated. -* -* Version 1.0.1 2010/10/05 -* Production release and review comments incorporated. -* -* Version 1.0.0 2010/09/20 -* Production release and review comments incorporated. -* -* Version 0.0.7 2010/06/10 -* Misra-C changes done -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup BasicSub - * @{ - */ - -/** - * @brief Q7 vector subtraction. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in each vector - * @return none. - * - * Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q7 range [0x80 0x7F] will be saturated. - */ - -void arm_sub_q7( - q7_t * pSrcA, - q7_t * pSrcB, - q7_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0 - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A - B */ - /* Subtract and then store the results in the destination buffer 4 samples at a time. */ - *__SIMD32(pDst)++ = __QSUB8(*__SIMD32(pSrcA)++, *__SIMD32(pSrcB)++); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A - B */ - /* Subtract and then store the result in the destination buffer. */ - *pDst++ = __SSAT(*pSrcA++ - *pSrcB++, 8); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A - B */ - /* Subtract and then store the result in the destination buffer. */ - *pDst++ = (q7_t) __SSAT((q15_t) * pSrcA++ - *pSrcB++, 8); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0 */ - - -} - -/** - * @} end of BasicSub group - */ diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/CommonTables/arm_common_tables.c b/apps/mathlib/CMSIS/DSP_Lib/Source/CommonTables/arm_common_tables.c deleted file mode 100644 index bf7ab3bed..000000000 --- a/apps/mathlib/CMSIS/DSP_Lib/Source/CommonTables/arm_common_tables.c +++ /dev/null @@ -1,4689 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010 ARM Limited. All rights reserved. -* -* $Date: 15. February 2012 -* $Revision: V1.1.0 -* -* Project: CMSIS DSP Library -* Title: arm_common_tables.c -* -* Description: This file has common tables like fft twiddle factors, Bitreverse, reciprocal etc which are used across different functions -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Version 1.1.0 2012/02/15 -* Updated with more optimizations, bug fixes and minor API changes. -* -* Version 1.0.10 2011/7/15 -* Big Endian support added and Merged M0 and M3/M4 Source code. -* -* Version 1.0.3 2010/11/29 -* Re-organized the CMSIS folders and updated documentation. -* -* Version 1.0.2 2010/11/11 -* Documentation updated. -* -* Version 1.0.1 2010/10/05 -* Production release and review comments incorporated. -* -* Version 1.0.0 2010/09/20 -* Production release and review comments incorporated. -* -------------------------------------------------------------------- */ - - -#include "arm_math.h" -#include "arm_common_tables.h" - -/** - * @ingroup groupTransforms - */ - -/** - * @addtogroup CFFT_CIFFT Complex FFT Tables - * @{ - */ - -/** -* \par -* Pseudo code for Generation of Bit reversal Table is -* \par -* 
for(l=1;l <= N/4;l++)    
-* {    
-*   for(i=0;i> 1;    
-*  }
-* \par -* where N = 4096 logN2 = 12 -* \par -* N is the maximum FFT Size supported -*/ - -/* -* @brief Table for bit reversal process -*/ -const uint16_t armBitRevTable[1024] = { - 0x400, 0x200, 0x600, 0x100, 0x500, 0x300, 0x700, - 0x80, 0x480, 0x280, 0x680, 0x180, 0x580, 0x380, - 0x780, 0x40, 0x440, 0x240, 0x640, 0x140, 0x540, - 0x340, 0x740, 0xc0, 0x4c0, 0x2c0, 0x6c0, 0x1c0, - 0x5c0, 0x3c0, 0x7c0, 0x20, 0x420, 0x220, 0x620, - 0x120, 0x520, 0x320, 0x720, 0xa0, 0x4a0, 0x2a0, - 0x6a0, 0x1a0, 0x5a0, 0x3a0, 0x7a0, 0x60, 0x460, - 0x260, 0x660, 0x160, 0x560, 0x360, 0x760, 0xe0, - 0x4e0, 0x2e0, 0x6e0, 0x1e0, 0x5e0, 0x3e0, 0x7e0, - 0x10, 0x410, 0x210, 0x610, 0x110, 0x510, 0x310, - 0x710, 0x90, 0x490, 0x290, 0x690, 0x190, 0x590, - 0x390, 0x790, 0x50, 0x450, 0x250, 0x650, 0x150, - 0x550, 0x350, 0x750, 0xd0, 0x4d0, 0x2d0, 0x6d0, - 0x1d0, 0x5d0, 0x3d0, 0x7d0, 0x30, 0x430, 0x230, - 0x630, 0x130, 0x530, 0x330, 0x730, 0xb0, 0x4b0, - 0x2b0, 0x6b0, 0x1b0, 0x5b0, 0x3b0, 0x7b0, 0x70, - 0x470, 0x270, 0x670, 0x170, 0x570, 0x370, 0x770, - 0xf0, 0x4f0, 0x2f0, 0x6f0, 0x1f0, 0x5f0, 0x3f0, - 0x7f0, 0x8, 0x408, 0x208, 0x608, 0x108, 0x508, - 0x308, 0x708, 0x88, 0x488, 0x288, 0x688, 0x188, - 0x588, 0x388, 0x788, 0x48, 0x448, 0x248, 0x648, - 0x148, 0x548, 0x348, 0x748, 0xc8, 0x4c8, 0x2c8, - 0x6c8, 0x1c8, 0x5c8, 0x3c8, 0x7c8, 0x28, 0x428, - 0x228, 0x628, 0x128, 0x528, 0x328, 0x728, 0xa8, - 0x4a8, 0x2a8, 0x6a8, 0x1a8, 0x5a8, 0x3a8, 0x7a8, - 0x68, 0x468, 0x268, 0x668, 0x168, 0x568, 0x368, - 0x768, 0xe8, 0x4e8, 0x2e8, 0x6e8, 0x1e8, 0x5e8, - 0x3e8, 0x7e8, 0x18, 0x418, 0x218, 0x618, 0x118, - 0x518, 0x318, 0x718, 0x98, 0x498, 0x298, 0x698, - 0x198, 0x598, 0x398, 0x798, 0x58, 0x458, 0x258, - 0x658, 0x158, 0x558, 0x358, 0x758, 0xd8, 0x4d8, - 0x2d8, 0x6d8, 0x1d8, 0x5d8, 0x3d8, 0x7d8, 0x38, - 0x438, 0x238, 0x638, 0x138, 0x538, 0x338, 0x738, - 0xb8, 0x4b8, 0x2b8, 0x6b8, 0x1b8, 0x5b8, 0x3b8, - 0x7b8, 0x78, 0x478, 0x278, 0x678, 0x178, 0x578, - 0x378, 0x778, 0xf8, 0x4f8, 0x2f8, 0x6f8, 0x1f8, - 0x5f8, 0x3f8, 0x7f8, 0x4, 0x404, 0x204, 0x604, - 0x104, 0x504, 0x304, 0x704, 0x84, 0x484, 0x284, - 0x684, 0x184, 0x584, 0x384, 0x784, 0x44, 0x444, - 0x244, 0x644, 0x144, 0x544, 0x344, 0x744, 0xc4, - 0x4c4, 0x2c4, 0x6c4, 0x1c4, 0x5c4, 0x3c4, 0x7c4, - 0x24, 0x424, 0x224, 0x624, 0x124, 0x524, 0x324, - 0x724, 0xa4, 0x4a4, 0x2a4, 0x6a4, 0x1a4, 0x5a4, - 0x3a4, 0x7a4, 0x64, 0x464, 0x264, 0x664, 0x164, - 0x564, 0x364, 0x764, 0xe4, 0x4e4, 0x2e4, 0x6e4, - 0x1e4, 0x5e4, 0x3e4, 0x7e4, 0x14, 0x414, 0x214, - 0x614, 0x114, 0x514, 0x314, 0x714, 0x94, 0x494, - 0x294, 0x694, 0x194, 0x594, 0x394, 0x794, 0x54, - 0x454, 0x254, 0x654, 0x154, 0x554, 0x354, 0x754, - 0xd4, 0x4d4, 0x2d4, 0x6d4, 0x1d4, 0x5d4, 0x3d4, - 0x7d4, 0x34, 0x434, 0x234, 0x634, 0x134, 0x534, - 0x334, 0x734, 0xb4, 0x4b4, 0x2b4, 0x6b4, 0x1b4, - 0x5b4, 0x3b4, 0x7b4, 0x74, 0x474, 0x274, 0x674, - 0x174, 0x574, 0x374, 0x774, 0xf4, 0x4f4, 0x2f4, - 0x6f4, 0x1f4, 0x5f4, 0x3f4, 0x7f4, 0xc, 0x40c, - 0x20c, 0x60c, 0x10c, 0x50c, 0x30c, 0x70c, 0x8c, - 0x48c, 0x28c, 0x68c, 0x18c, 0x58c, 0x38c, 0x78c, - 0x4c, 0x44c, 0x24c, 0x64c, 0x14c, 0x54c, 0x34c, - 0x74c, 0xcc, 0x4cc, 0x2cc, 0x6cc, 0x1cc, 0x5cc, - 0x3cc, 0x7cc, 0x2c, 0x42c, 0x22c, 0x62c, 0x12c, - 0x52c, 0x32c, 0x72c, 0xac, 0x4ac, 0x2ac, 0x6ac, - 0x1ac, 0x5ac, 0x3ac, 0x7ac, 0x6c, 0x46c, 0x26c, - 0x66c, 0x16c, 0x56c, 0x36c, 0x76c, 0xec, 0x4ec, - 0x2ec, 0x6ec, 0x1ec, 0x5ec, 0x3ec, 0x7ec, 0x1c, - 0x41c, 0x21c, 0x61c, 0x11c, 0x51c, 0x31c, 0x71c, - 0x9c, 0x49c, 0x29c, 0x69c, 0x19c, 0x59c, 0x39c, - 0x79c, 0x5c, 0x45c, 0x25c, 0x65c, 0x15c, 0x55c, - 0x35c, 0x75c, 0xdc, 0x4dc, 0x2dc, 0x6dc, 0x1dc, - 0x5dc, 0x3dc, 0x7dc, 0x3c, 0x43c, 0x23c, 0x63c, - 0x13c, 0x53c, 0x33c, 0x73c, 0xbc, 0x4bc, 0x2bc, - 0x6bc, 0x1bc, 0x5bc, 0x3bc, 0x7bc, 0x7c, 0x47c, - 0x27c, 0x67c, 0x17c, 0x57c, 0x37c, 0x77c, 0xfc, - 0x4fc, 0x2fc, 0x6fc, 0x1fc, 0x5fc, 0x3fc, 0x7fc, - 0x2, 0x402, 0x202, 0x602, 0x102, 0x502, 0x302, - 0x702, 0x82, 0x482, 0x282, 0x682, 0x182, 0x582, - 0x382, 0x782, 0x42, 0x442, 0x242, 0x642, 0x142, - 0x542, 0x342, 0x742, 0xc2, 0x4c2, 0x2c2, 0x6c2, - 0x1c2, 0x5c2, 0x3c2, 0x7c2, 0x22, 0x422, 0x222, - 0x622, 0x122, 0x522, 0x322, 0x722, 0xa2, 0x4a2, - 0x2a2, 0x6a2, 0x1a2, 0x5a2, 0x3a2, 0x7a2, 0x62, - 0x462, 0x262, 0x662, 0x162, 0x562, 0x362, 0x762, - 0xe2, 0x4e2, 0x2e2, 0x6e2, 0x1e2, 0x5e2, 0x3e2, - 0x7e2, 0x12, 0x412, 0x212, 0x612, 0x112, 0x512, - 0x312, 0x712, 0x92, 0x492, 0x292, 0x692, 0x192, - 0x592, 0x392, 0x792, 0x52, 0x452, 0x252, 0x652, - 0x152, 0x552, 0x352, 0x752, 0xd2, 0x4d2, 0x2d2, - 0x6d2, 0x1d2, 0x5d2, 0x3d2, 0x7d2, 0x32, 0x432, - 0x232, 0x632, 0x132, 0x532, 0x332, 0x732, 0xb2, - 0x4b2, 0x2b2, 0x6b2, 0x1b2, 0x5b2, 0x3b2, 0x7b2, - 0x72, 0x472, 0x272, 0x672, 0x172, 0x572, 0x372, - 0x772, 0xf2, 0x4f2, 0x2f2, 0x6f2, 0x1f2, 0x5f2, - 0x3f2, 0x7f2, 0xa, 0x40a, 0x20a, 0x60a, 0x10a, - 0x50a, 0x30a, 0x70a, 0x8a, 0x48a, 0x28a, 0x68a, - 0x18a, 0x58a, 0x38a, 0x78a, 0x4a, 0x44a, 0x24a, - 0x64a, 0x14a, 0x54a, 0x34a, 0x74a, 0xca, 0x4ca, - 0x2ca, 0x6ca, 0x1ca, 0x5ca, 0x3ca, 0x7ca, 0x2a, - 0x42a, 0x22a, 0x62a, 0x12a, 0x52a, 0x32a, 0x72a, - 0xaa, 0x4aa, 0x2aa, 0x6aa, 0x1aa, 0x5aa, 0x3aa, - 0x7aa, 0x6a, 0x46a, 0x26a, 0x66a, 0x16a, 0x56a, - 0x36a, 0x76a, 0xea, 0x4ea, 0x2ea, 0x6ea, 0x1ea, - 0x5ea, 0x3ea, 0x7ea, 0x1a, 0x41a, 0x21a, 0x61a, - 0x11a, 0x51a, 0x31a, 0x71a, 0x9a, 0x49a, 0x29a, - 0x69a, 0x19a, 0x59a, 0x39a, 0x79a, 0x5a, 0x45a, - 0x25a, 0x65a, 0x15a, 0x55a, 0x35a, 0x75a, 0xda, - 0x4da, 0x2da, 0x6da, 0x1da, 0x5da, 0x3da, 0x7da, - 0x3a, 0x43a, 0x23a, 0x63a, 0x13a, 0x53a, 0x33a, - 0x73a, 0xba, 0x4ba, 0x2ba, 0x6ba, 0x1ba, 0x5ba, - 0x3ba, 0x7ba, 0x7a, 0x47a, 0x27a, 0x67a, 0x17a, - 0x57a, 0x37a, 0x77a, 0xfa, 0x4fa, 0x2fa, 0x6fa, - 0x1fa, 0x5fa, 0x3fa, 0x7fa, 0x6, 0x406, 0x206, - 0x606, 0x106, 0x506, 0x306, 0x706, 0x86, 0x486, - 0x286, 0x686, 0x186, 0x586, 0x386, 0x786, 0x46, - 0x446, 0x246, 0x646, 0x146, 0x546, 0x346, 0x746, - 0xc6, 0x4c6, 0x2c6, 0x6c6, 0x1c6, 0x5c6, 0x3c6, - 0x7c6, 0x26, 0x426, 0x226, 0x626, 0x126, 0x526, - 0x326, 0x726, 0xa6, 0x4a6, 0x2a6, 0x6a6, 0x1a6, - 0x5a6, 0x3a6, 0x7a6, 0x66, 0x466, 0x266, 0x666, - 0x166, 0x566, 0x366, 0x766, 0xe6, 0x4e6, 0x2e6, - 0x6e6, 0x1e6, 0x5e6, 0x3e6, 0x7e6, 0x16, 0x416, - 0x216, 0x616, 0x116, 0x516, 0x316, 0x716, 0x96, - 0x496, 0x296, 0x696, 0x196, 0x596, 0x396, 0x796, - 0x56, 0x456, 0x256, 0x656, 0x156, 0x556, 0x356, - 0x756, 0xd6, 0x4d6, 0x2d6, 0x6d6, 0x1d6, 0x5d6, - 0x3d6, 0x7d6, 0x36, 0x436, 0x236, 0x636, 0x136, - 0x536, 0x336, 0x736, 0xb6, 0x4b6, 0x2b6, 0x6b6, - 0x1b6, 0x5b6, 0x3b6, 0x7b6, 0x76, 0x476, 0x276, - 0x676, 0x176, 0x576, 0x376, 0x776, 0xf6, 0x4f6, - 0x2f6, 0x6f6, 0x1f6, 0x5f6, 0x3f6, 0x7f6, 0xe, - 0x40e, 0x20e, 0x60e, 0x10e, 0x50e, 0x30e, 0x70e, - 0x8e, 0x48e, 0x28e, 0x68e, 0x18e, 0x58e, 0x38e, - 0x78e, 0x4e, 0x44e, 0x24e, 0x64e, 0x14e, 0x54e, - 0x34e, 0x74e, 0xce, 0x4ce, 0x2ce, 0x6ce, 0x1ce, - 0x5ce, 0x3ce, 0x7ce, 0x2e, 0x42e, 0x22e, 0x62e, - 0x12e, 0x52e, 0x32e, 0x72e, 0xae, 0x4ae, 0x2ae, - 0x6ae, 0x1ae, 0x5ae, 0x3ae, 0x7ae, 0x6e, 0x46e, - 0x26e, 0x66e, 0x16e, 0x56e, 0x36e, 0x76e, 0xee, - 0x4ee, 0x2ee, 0x6ee, 0x1ee, 0x5ee, 0x3ee, 0x7ee, - 0x1e, 0x41e, 0x21e, 0x61e, 0x11e, 0x51e, 0x31e, - 0x71e, 0x9e, 0x49e, 0x29e, 0x69e, 0x19e, 0x59e, - 0x39e, 0x79e, 0x5e, 0x45e, 0x25e, 0x65e, 0x15e, - 0x55e, 0x35e, 0x75e, 0xde, 0x4de, 0x2de, 0x6de, - 0x1de, 0x5de, 0x3de, 0x7de, 0x3e, 0x43e, 0x23e, - 0x63e, 0x13e, 0x53e, 0x33e, 0x73e, 0xbe, 0x4be, - 0x2be, 0x6be, 0x1be, 0x5be, 0x3be, 0x7be, 0x7e, - 0x47e, 0x27e, 0x67e, 0x17e, 0x57e, 0x37e, 0x77e, - 0xfe, 0x4fe, 0x2fe, 0x6fe, 0x1fe, 0x5fe, 0x3fe, - 0x7fe, 0x1 -}; - - -/* -* @brief Floating-point Twiddle factors Table Generation -*/ - - -/** -* \par -* Example code for Floating-point Twiddle factors Generation: -* \par -* 
for(i = 0; i< 3N/4; i++)    
-* {    
-*	twiddleCoef[2*i]= cos(i * 2*PI/(float)N);    
-*	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
-* }
-* \par -* where N = 4096 and PI = 3.14159265358979 -* \par -* Cos and Sin values are in interleaved fashion -* -*/ -const float32_t twiddleCoef[6144] = { - 1.000000000000000000f, 0.000000000000000000f, 0.999998823451701880f, - 0.001533980186284766f, 0.999995293809576190f, 0.003067956762965976f, - 0.999989411081928400f, 0.004601926120448571f, 0.999981175282601110f, - 0.006135884649154475f, 0.999970586430974140f, 0.007669828739531097f, - 0.999957644551963900f, 0.009203754782059819f, 0.999942349676023910f, - 0.010737659167264491f, 0.999924701839144500f, 0.012271538285719925f, - 0.999904701082852900f, 0.013805388528060391f, 0.999882347454212560f, - 0.015339206284988100f, 0.999857641005823860f, 0.016872987947281710f, - 0.999830581795823400f, 0.018406729905804820f, 0.999801169887884260f, - 0.019940428551514441f, 0.999769405351215280f, 0.021474080275469508f, - 0.999735288260561680f, 0.023007681468839369f, 0.999698818696204250f, - 0.024541228522912288f, 0.999659996743959220f, 0.026074717829103901f, - 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-0.997402129901275300f, -0.070504573389614356f, -0.997511456140303450f, - -0.068974327628267079f, -0.997618435138519550f, -0.067443919563664231f, - -0.997723066644191640f, -0.065913352797003832f, -0.997825350411111640f, - -0.064382630929857312f, -0.997925286198596000f, -0.062851757564161989f, - -0.998022873771486130f, -0.061320736302208995f, -0.998118112900149180f, - -0.059789570746640132f, -0.998211003360478190f, -0.058258264500435857f, - -0.998301544933892780f, -0.056726821166907686f, -0.998389737407340160f, - -0.055195244349689712f, -0.998475580573294770f, -0.053663537652731026f, - -0.998559074229759310f, -0.052131704680283657f, -0.998640218180265160f, - -0.050599749036899455f, -0.998719012233872940f, -0.049067674327418029f, - -0.998795456205172410f, -0.047535484156959157f, -0.998869549914283560f, - -0.046003182130915206f, -0.998941293186856870f, -0.044470771854939084f, - -0.999010685854073270f, -0.042938256934941084f, -0.999077727752645360f, - -0.041405640977076837f, -0.999142418724816910f, -0.039872927587739748f, - -0.999204758618363890f, -0.038340120373552472f, -0.999264747286594420f, - -0.036807222941359331f, -0.999322384588349430f, -0.035274238898214294f, - -0.999377670388002850f, -0.033741171851377760f, -0.999430604555461730f, - -0.032208025408304600f, -0.999481186966166950f, -0.030674803176636484f, - -0.999529417501093140f, -0.029141508764194309f, -0.999575296046749220f, - -0.027608145778966163f, -0.999618822495178640f, -0.026074717829104161f, - -0.999659996743959220f, -0.024541228522912389f, -0.999698818696204250f, - -0.023007681468839310f, -0.999735288260561680f, -0.021474080275469286f, - -0.999769405351215280f, -0.019940428551514944f, -0.999801169887884260f, - -0.018406729905805164f, -0.999830581795823400f, -0.016872987947281894f, - -0.999857641005823860f, -0.015339206284988121f, -0.999882347454212560f, - -0.013805388528060250f, -0.999904701082852900f, -0.012271538285720512f, - -0.999924701839144500f, -0.010737659167264916f, -0.999942349676023910f, - -0.009203754782060083f, -0.999957644551963900f, -0.007669828739531199f, - -0.999970586430974140f, -0.006135884649154416f, -0.999981175282601110f, - -0.004601926120448350f, -0.999989411081928400f, -0.003067956762966483f, - -0.999995293809576190f, -0.001533980186285111f, -0.999998823451701880f, -}; - -/* -* @brief Q31 Twiddle factors Table -*/ - -/** -* \par -* Example code for Q31 Twiddle factors Generation:: -* \par -* 
for(i = 0; i< 3N/4; i++)    
-* {    
-*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
-*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
-* }
-* \par -* where N = 4096 and PI = 3.14159265358979 -* \par -* Cos and Sin values are interleaved fashion -* \par -* Convert Floating point to Q31(Fixed point 1.31): -* round(twiddleCoefQ31(i) * pow(2, 31)) -* -*/ - -const q31_t twiddleCoefQ31[6144] = { - 0x7fffffff, 0x0, 0x7ffff621, 0x3243f5, 0x7fffd886, 0x6487e3, 0x7fffa72c, - 0x96cbc1, - 0x7fff6216, 0xc90f88, 0x7fff0943, 0xfb5330, 0x7ffe9cb2, 0x12d96b1, - 0x7ffe1c65, 0x15fda03, - 0x7ffd885a, 0x1921d20, 0x7ffce093, 0x1c45ffe, 0x7ffc250f, 0x1f6a297, - 0x7ffb55ce, 0x228e4e2, - 0x7ffa72d1, 0x25b26d7, 0x7ff97c18, 0x28d6870, 0x7ff871a2, 0x2bfa9a4, - 0x7ff75370, 0x2f1ea6c, - 0x7ff62182, 0x3242abf, 0x7ff4dbd9, 0x3566a96, 0x7ff38274, 0x388a9ea, - 0x7ff21553, 0x3bae8b2, - 0x7ff09478, 0x3ed26e6, 0x7feeffe1, 0x41f6480, 0x7fed5791, 0x451a177, - 0x7feb9b85, 0x483ddc3, - 0x7fe9cbc0, 0x4b6195d, 0x7fe7e841, 0x4e8543e, 0x7fe5f108, 0x51a8e5c, - 0x7fe3e616, 0x54cc7b1, - 0x7fe1c76b, 0x57f0035, 0x7fdf9508, 0x5b137df, 0x7fdd4eec, 0x5e36ea9, - 0x7fdaf519, 0x615a48b, - 0x7fd8878e, 0x647d97c, 0x7fd6064c, 0x67a0d76, 0x7fd37153, 0x6ac406f, - 0x7fd0c8a3, 0x6de7262, - 0x7fce0c3e, 0x710a345, 0x7fcb3c23, 0x742d311, 0x7fc85854, 0x77501be, - 0x7fc560cf, 0x7a72f45, - 0x7fc25596, 0x7d95b9e, 0x7fbf36aa, 0x80b86c2, 0x7fbc040a, 0x83db0a7, - 0x7fb8bdb8, 0x86fd947, - 0x7fb563b3, 0x8a2009a, 0x7fb1f5fc, 0x8d42699, 0x7fae7495, 0x9064b3a, - 0x7faadf7c, 0x9386e78, - 0x7fa736b4, 0x96a9049, 0x7fa37a3c, 0x99cb0a7, 0x7f9faa15, 0x9cecf89, - 0x7f9bc640, 0xa00ece8, - 0x7f97cebd, 0xa3308bd, 0x7f93c38c, 0xa6522fe, 0x7f8fa4b0, 0xa973ba5, - 0x7f8b7227, 0xac952aa, - 0x7f872bf3, 0xafb6805, 0x7f82d214, 0xb2d7baf, 0x7f7e648c, 0xb5f8d9f, - 0x7f79e35a, 0xb919dcf, - 0x7f754e80, 0xbc3ac35, 0x7f70a5fe, 0xbf5b8cb, 0x7f6be9d4, 0xc27c389, - 0x7f671a05, 0xc59cc68, - 0x7f62368f, 0xc8bd35e, 0x7f5d3f75, 0xcbdd865, 0x7f5834b7, 0xcefdb76, - 0x7f531655, 0xd21dc87, - 0x7f4de451, 0xd53db92, 0x7f489eaa, 0xd85d88f, 0x7f434563, 0xdb7d376, - 0x7f3dd87c, 0xde9cc40, - 0x7f3857f6, 0xe1bc2e4, 0x7f32c3d1, 0xe4db75b, 0x7f2d1c0e, 0xe7fa99e, - 0x7f2760af, 0xeb199a4, - 0x7f2191b4, 0xee38766, 0x7f1baf1e, 0xf1572dc, 0x7f15b8ee, 0xf475bff, - 0x7f0faf25, 0xf7942c7, - 0x7f0991c4, 0xfab272b, 0x7f0360cb, 0xfdd0926, 0x7efd1c3c, 0x100ee8ad, - 0x7ef6c418, 0x1040c5bb, - 0x7ef05860, 0x1072a048, 0x7ee9d914, 0x10a4784b, 0x7ee34636, 0x10d64dbd, - 0x7edc9fc6, 0x11082096, - 0x7ed5e5c6, 0x1139f0cf, 0x7ecf1837, 0x116bbe60, 0x7ec8371a, 0x119d8941, - 0x7ec14270, 0x11cf516a, - 0x7eba3a39, 0x120116d5, 0x7eb31e78, 0x1232d979, 0x7eabef2c, 0x1264994e, - 0x7ea4ac58, 0x1296564d, - 0x7e9d55fc, 0x12c8106f, 0x7e95ec1a, 0x12f9c7aa, 0x7e8e6eb2, 0x132b7bf9, - 0x7e86ddc6, 0x135d2d53, - 0x7e7f3957, 0x138edbb1, 0x7e778166, 0x13c0870a, 0x7e6fb5f4, 0x13f22f58, - 0x7e67d703, 0x1423d492, - 0x7e5fe493, 0x145576b1, 0x7e57dea7, 0x148715ae, 0x7e4fc53e, 0x14b8b17f, - 0x7e47985b, 0x14ea4a1f, - 0x7e3f57ff, 0x151bdf86, 0x7e37042a, 0x154d71aa, 0x7e2e9cdf, 0x157f0086, - 0x7e26221f, 0x15b08c12, - 0x7e1d93ea, 0x15e21445, 0x7e14f242, 0x16139918, 0x7e0c3d29, 0x16451a83, - 0x7e0374a0, 0x1676987f, - 0x7dfa98a8, 0x16a81305, 0x7df1a942, 0x16d98a0c, 0x7de8a670, 0x170afd8d, - 0x7ddf9034, 0x173c6d80, - 0x7dd6668f, 0x176dd9de, 0x7dcd2981, 0x179f429f, 0x7dc3d90d, 0x17d0a7bc, - 0x7dba7534, 0x1802092c, - 0x7db0fdf8, 0x183366e9, 0x7da77359, 0x1864c0ea, 0x7d9dd55a, 0x18961728, - 0x7d9423fc, 0x18c7699b, - 0x7d8a5f40, 0x18f8b83c, 0x7d808728, 0x192a0304, 0x7d769bb5, 0x195b49ea, - 0x7d6c9ce9, 0x198c8ce7, - 0x7d628ac6, 0x19bdcbf3, 0x7d58654d, 0x19ef0707, 0x7d4e2c7f, 0x1a203e1b, - 0x7d43e05e, 0x1a517128, - 0x7d3980ec, 0x1a82a026, 0x7d2f0e2b, 0x1ab3cb0d, 0x7d24881b, 0x1ae4f1d6, - 0x7d19eebf, 0x1b161479, - 0x7d0f4218, 0x1b4732ef, 0x7d048228, 0x1b784d30, 0x7cf9aef0, 0x1ba96335, - 0x7ceec873, 0x1bda74f6, - 0x7ce3ceb2, 0x1c0b826a, 0x7cd8c1ae, 0x1c3c8b8c, 0x7ccda169, 0x1c6d9053, - 0x7cc26de5, 0x1c9e90b8, - 0x7cb72724, 0x1ccf8cb3, 0x7cabcd28, 0x1d00843d, 0x7ca05ff1, 0x1d31774d, - 0x7c94df83, 0x1d6265dd, - 0x7c894bde, 0x1d934fe5, 0x7c7da505, 0x1dc4355e, 0x7c71eaf9, 0x1df5163f, - 0x7c661dbc, 0x1e25f282, - 0x7c5a3d50, 0x1e56ca1e, 0x7c4e49b7, 0x1e879d0d, 0x7c4242f2, 0x1eb86b46, - 0x7c362904, 0x1ee934c3, - 0x7c29fbee, 0x1f19f97b, 0x7c1dbbb3, 0x1f4ab968, 0x7c116853, 0x1f7b7481, - 0x7c0501d2, 0x1fac2abf, - 0x7bf88830, 0x1fdcdc1b, 0x7bebfb70, 0x200d888d, 0x7bdf5b94, 0x203e300d, - 0x7bd2a89e, 0x206ed295, - 0x7bc5e290, 0x209f701c, 0x7bb9096b, 0x20d0089c, 0x7bac1d31, 0x21009c0c, - 0x7b9f1de6, 0x21312a65, - 0x7b920b89, 0x2161b3a0, 0x7b84e61f, 0x219237b5, 0x7b77ada8, 0x21c2b69c, - 0x7b6a6227, 0x21f3304f, - 0x7b5d039e, 0x2223a4c5, 0x7b4f920e, 0x225413f8, 0x7b420d7a, 0x22847de0, - 0x7b3475e5, 0x22b4e274, - 0x7b26cb4f, 0x22e541af, 0x7b190dbc, 0x23159b88, 0x7b0b3d2c, 0x2345eff8, - 0x7afd59a4, 0x23763ef7, - 0x7aef6323, 0x23a6887f, 0x7ae159ae, 0x23d6cc87, 0x7ad33d45, 0x24070b08, - 0x7ac50dec, 0x243743fa, - 0x7ab6cba4, 0x24677758, 0x7aa8766f, 0x2497a517, 0x7a9a0e50, 0x24c7cd33, - 0x7a8b9348, 0x24f7efa2, - 0x7a7d055b, 0x25280c5e, 0x7a6e648a, 0x2558235f, 0x7a5fb0d8, 0x2588349d, - 0x7a50ea47, 0x25b84012, - 0x7a4210d8, 0x25e845b6, 0x7a332490, 0x26184581, 0x7a24256f, 0x26483f6c, - 0x7a151378, 0x26783370, - 0x7a05eead, 0x26a82186, 0x79f6b711, 0x26d809a5, 0x79e76ca7, 0x2707ebc7, - 0x79d80f6f, 0x2737c7e3, - 0x79c89f6e, 0x27679df4, 0x79b91ca4, 0x27976df1, 0x79a98715, 0x27c737d3, - 0x7999dec4, 0x27f6fb92, - 0x798a23b1, 0x2826b928, 0x797a55e0, 0x2856708d, 0x796a7554, 0x288621b9, - 0x795a820e, 0x28b5cca5, - 0x794a7c12, 0x28e5714b, 0x793a6361, 0x29150fa1, 0x792a37fe, 0x2944a7a2, - 0x7919f9ec, 0x29743946, - 0x7909a92d, 0x29a3c485, 0x78f945c3, 0x29d34958, 0x78e8cfb2, 0x2a02c7b8, - 0x78d846fb, 0x2a323f9e, - 0x78c7aba2, 0x2a61b101, 0x78b6fda8, 0x2a911bdc, 0x78a63d11, 0x2ac08026, - 0x789569df, 0x2aefddd8, - 0x78848414, 0x2b1f34eb, 0x78738bb3, 0x2b4e8558, 0x786280bf, 0x2b7dcf17, - 0x7851633b, 0x2bad1221, - 0x78403329, 0x2bdc4e6f, 0x782ef08b, 0x2c0b83fa, 0x781d9b65, 0x2c3ab2b9, - 0x780c33b8, 0x2c69daa6, - 0x77fab989, 0x2c98fbba, 0x77e92cd9, 0x2cc815ee, 0x77d78daa, 0x2cf72939, - 0x77c5dc01, 0x2d263596, - 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0xb397c649, 0x994e783d, - 0xb3c0200c, 0x99307ee0, 0xb3e88592, 0x9912955f, 0xb410f6d3, 0x98f4bbbc, - 0xb43973ca, 0x98d6f1fe, - 0xb461fc70, 0x98b93828, 0xb48a90c0, 0x989b8e40, 0xb4b330b3, 0x987df449, - 0xb4dbdc42, 0x98606a49, - 0xb5049368, 0x9842f043, 0xb52d561e, 0x9825863d, 0xb556245e, 0x98082c3b, - 0xb57efe22, 0x97eae242, - 0xb5a7e362, 0x97cda855, 0xb5d0d41a, 0x97b07e7a, 0xb5f9d043, 0x979364b5, - 0xb622d7d6, 0x97765b0a, - 0xb64beacd, 0x9759617f, 0xb6750921, 0x973c7817, 0xb69e32cd, 0x971f9ed7, - 0xb6c767ca, 0x9702d5c3, - 0xb6f0a812, 0x96e61ce0, 0xb719f39e, 0x96c97432, 0xb7434a67, 0x96acdbbe, - 0xb76cac69, 0x96905388, - 0xb796199b, 0x9673db94, 0xb7bf91f8, 0x965773e7, 0xb7e9157a, 0x963b1c86, - 0xb812a41a, 0x961ed574, - 0xb83c3dd1, 0x96029eb6, 0xb865e299, 0x95e67850, 0xb88f926d, 0x95ca6247, - 0xb8b94d44, 0x95ae5c9f, - 0xb8e31319, 0x9592675c, 0xb90ce3e6, 0x95768283, 0xb936bfa4, 0x955aae17, - 0xb960a64c, 0x953eea1e, - 0xb98a97d8, 0x9523369c, 0xb9b49442, 0x95079394, 0xb9de9b83, 0x94ec010b, - 0xba08ad95, 0x94d07f05, - 0xba32ca71, 0x94b50d87, 0xba5cf210, 0x9499ac95, 0xba87246d, 0x947e5c33, - 0xbab16180, 0x94631c65, - 0xbadba943, 0x9447ed2f, 0xbb05fbb0, 0x942cce96, 0xbb3058c0, 0x9411c09e, - 0xbb5ac06d, 0x93f6c34a, - 0xbb8532b0, 0x93dbd6a0, 0xbbafaf82, 0x93c0faa3, 0xbbda36dd, 0x93a62f57, - 0xbc04c8ba, 0x938b74c1, - 0xbc2f6513, 0x9370cae4, 0xbc5a0be2, 0x935631c5, 0xbc84bd1f, 0x933ba968, - 0xbcaf78c4, 0x932131d1, - 0xbcda3ecb, 0x9306cb04, 0xbd050f2c, 0x92ec7505, 0xbd2fe9e2, 0x92d22fd9, - 0xbd5acee5, 0x92b7fb82, - 0xbd85be30, 0x929dd806, 0xbdb0b7bb, 0x9283c568, 0xbddbbb7f, 0x9269c3ac, - 0xbe06c977, 0x924fd2d7, - 0xbe31e19b, 0x9235f2ec, 0xbe5d03e6, 0x921c23ef, 0xbe88304f, 0x920265e4, - 0xbeb366d1, 0x91e8b8d0, - 0xbedea765, 0x91cf1cb6, 0xbf09f205, 0x91b5919a, 0xbf3546a8, 0x919c1781, - 0xbf60a54a, 0x9182ae6d, - 0xbf8c0de3, 0x91695663, 0xbfb7806c, 0x91500f67, 0xbfe2fcdf, 0x9136d97d, - 0xc00e8336, 0x911db4a9, - 0xc03a1368, 0x9104a0ee, 0xc065ad70, 0x90eb9e50, 0xc0915148, 0x90d2acd4, - 0xc0bcfee7, 0x90b9cc7d, - 0xc0e8b648, 0x90a0fd4e, 0xc1147764, 0x90883f4d, 0xc1404233, 0x906f927c, - 0xc16c16b0, 0x9056f6df, - 0xc197f4d4, 0x903e6c7b, 0xc1c3dc97, 0x9025f352, 0xc1efcdf3, 0x900d8b69, - 0xc21bc8e1, 0x8ff534c4, - 0xc247cd5a, 0x8fdcef66, 0xc273db58, 0x8fc4bb53, 0xc29ff2d4, 0x8fac988f, - 0xc2cc13c7, 0x8f94871d, - 0xc2f83e2a, 0x8f7c8701, 0xc32471f7, 0x8f649840, 0xc350af26, 0x8f4cbadb, - 0xc37cf5b0, 0x8f34eed8, - 0xc3a94590, 0x8f1d343a, 0xc3d59ebe, 0x8f058b04, 0xc4020133, 0x8eedf33b, - 0xc42e6ce8, 0x8ed66ce1, - 0xc45ae1d7, 0x8ebef7fb, 0xc4875ff9, 0x8ea7948c, 0xc4b3e746, 0x8e904298, - 0xc4e077b8, 0x8e790222, - 0xc50d1149, 0x8e61d32e, 0xc539b3f1, 0x8e4ab5bf, 0xc5665fa9, 0x8e33a9da, - 0xc593146a, 0x8e1caf80, - 0xc5bfd22e, 0x8e05c6b7, 0xc5ec98ee, 0x8deeef82, 0xc61968a2, 0x8dd829e4, - 0xc6464144, 0x8dc175e0, - 0xc67322ce, 0x8daad37b, 0xc6a00d37, 0x8d9442b8, 0xc6cd0079, 0x8d7dc399, - 0xc6f9fc8d, 0x8d675623, - 0xc727016d, 0x8d50fa59, 0xc7540f11, 0x8d3ab03f, 0xc7812572, 0x8d2477d8, - 0xc7ae4489, 0x8d0e5127, - 0xc7db6c50, 0x8cf83c30, 0xc8089cbf, 0x8ce238f6, 0xc835d5d0, 0x8ccc477d, - 0xc863177b, 0x8cb667c8, - 0xc89061ba, 0x8ca099da, 0xc8bdb485, 0x8c8addb7, 0xc8eb0fd6, 0x8c753362, - 0xc91873a5, 0x8c5f9ade, - 0xc945dfec, 0x8c4a142f, 0xc97354a4, 0x8c349f58, 0xc9a0d1c5, 0x8c1f3c5d, - 0xc9ce5748, 0x8c09eb40, - 0xc9fbe527, 0x8bf4ac05, 0xca297b5a, 0x8bdf7eb0, 0xca5719db, 0x8bca6343, - 0xca84c0a3, 0x8bb559c1, - 0xcab26fa9, 0x8ba0622f, 0xcae026e8, 0x8b8b7c8f, 0xcb0de658, 0x8b76a8e4, - 0xcb3badf3, 0x8b61e733, - 0xcb697db0, 0x8b4d377c, 0xcb97558a, 0x8b3899c6, 0xcbc53579, 0x8b240e11, - 0xcbf31d75, 0x8b0f9462, - 0xcc210d79, 0x8afb2cbb, 0xcc4f057c, 0x8ae6d720, 0xcc7d0578, 0x8ad29394, - 0xccab0d65, 0x8abe6219, - 0xccd91d3d, 0x8aaa42b4, 0xcd0734f9, 0x8a963567, 0xcd355491, 0x8a823a36, - 0xcd637bfe, 0x8a6e5123, - 0xcd91ab39, 0x8a5a7a31, 0xcdbfe23a, 0x8a46b564, 0xcdee20fc, 0x8a3302be, - 0xce1c6777, 0x8a1f6243, - 0xce4ab5a2, 0x8a0bd3f5, 0xce790b79, 0x89f857d8, 0xcea768f2, 0x89e4edef, - 0xced5ce08, 0x89d1963c, - 0xcf043ab3, 0x89be50c3, 0xcf32aeeb, 0x89ab1d87, 0xcf612aaa, 0x8997fc8a, - 0xcf8fade9, 0x8984edcf, - 0xcfbe389f, 0x8971f15a, 0xcfeccac7, 0x895f072e, 0xd01b6459, 0x894c2f4c, - 0xd04a054e, 0x893969b9, - 0xd078ad9e, 0x8926b677, 0xd0a75d42, 0x89141589, 0xd0d61434, 0x890186f2, - 0xd104d26b, 0x88ef0ab4, - 0xd13397e2, 0x88dca0d3, 0xd1626490, 0x88ca4951, 0xd191386e, 0x88b80432, - 0xd1c01375, 0x88a5d177, - 0xd1eef59e, 0x8893b125, 0xd21ddee2, 0x8881a33d, 0xd24ccf39, 0x886fa7c2, - 0xd27bc69c, 0x885dbeb8, - 0xd2aac504, 0x884be821, 0xd2d9ca6a, 0x883a23ff, 0xd308d6c7, 0x88287256, - 0xd337ea12, 0x8816d327, - 0xd3670446, 0x88054677, 0xd396255a, 0x87f3cc48, 0xd3c54d47, 0x87e2649b, - 0xd3f47c06, 0x87d10f75, - 0xd423b191, 0x87bfccd7, 0xd452eddf, 0x87ae9cc5, 0xd48230e9, 0x879d7f41, - 0xd4b17aa8, 0x878c744d, - 0xd4e0cb15, 0x877b7bec, 0xd5102228, 0x876a9621, 0xd53f7fda, 0x8759c2ef, - 0xd56ee424, 0x87490258, - 0xd59e4eff, 0x8738545e, 0xd5cdc062, 0x8727b905, 0xd5fd3848, 0x8717304e, - 0xd62cb6a8, 0x8706ba3d, - 0xd65c3b7b, 0x86f656d3, 0xd68bc6ba, 0x86e60614, 0xd6bb585e, 0x86d5c802, - 0xd6eaf05f, 0x86c59c9f, - 0xd71a8eb5, 0x86b583ee, 0xd74a335b, 0x86a57df2, 0xd779de47, 0x86958aac, - 0xd7a98f73, 0x8685aa20, - 0xd7d946d8, 0x8675dc4f, 0xd809046e, 0x8666213c, 0xd838c82d, 0x865678eb, - 0xd868920f, 0x8646e35c, - 0xd898620c, 0x86376092, 0xd8c8381d, 0x8627f091, 0xd8f81439, 0x86189359, - 0xd927f65b, 0x860948ef, - 0xd957de7a, 0x85fa1153, 0xd987cc90, 0x85eaec88, 0xd9b7c094, 0x85dbda91, - 0xd9e7ba7f, 0x85ccdb70, - 0xda17ba4a, 0x85bdef28, 0xda47bfee, 0x85af15b9, 0xda77cb63, 0x85a04f28, - 0xdaa7dca1, 0x85919b76, - 0xdad7f3a2, 0x8582faa5, 0xdb08105e, 0x85746cb8, 0xdb3832cd, 0x8565f1b0, - 0xdb685ae9, 0x85578991, - 0xdb9888a8, 0x8549345c, 0xdbc8bc06, 0x853af214, 0xdbf8f4f8, 0x852cc2bb, - 0xdc293379, 0x851ea652, - 0xdc597781, 0x85109cdd, 0xdc89c109, 0x8502a65c, 0xdcba1008, 0x84f4c2d4, - 0xdcea6478, 0x84e6f244, - 0xdd1abe51, 0x84d934b1, 0xdd4b1d8c, 0x84cb8a1b, 0xdd7b8220, 0x84bdf286, - 0xddabec08, 0x84b06df2, - 0xdddc5b3b, 0x84a2fc62, 0xde0ccfb1, 0x84959dd9, 0xde3d4964, 0x84885258, - 0xde6dc84b, 0x847b19e1, - 0xde9e4c60, 0x846df477, 0xdeced59b, 0x8460e21a, 0xdeff63f4, 0x8453e2cf, - 0xdf2ff764, 0x8446f695, - 0xdf608fe4, 0x843a1d70, 0xdf912d6b, 0x842d5762, 0xdfc1cff3, 0x8420a46c, - 0xdff27773, 0x84140490, - 0xe02323e5, 0x840777d0, 0xe053d541, 0x83fafe2e, 0xe0848b7f, 0x83ee97ad, - 0xe0b54698, 0x83e2444d, - 0xe0e60685, 0x83d60412, 0xe116cb3d, 0x83c9d6fc, 0xe14794ba, 0x83bdbd0e, - 0xe17862f3, 0x83b1b649, - 0xe1a935e2, 0x83a5c2b0, 0xe1da0d7e, 0x8399e244, 0xe20ae9c1, 0x838e1507, - 0xe23bcaa2, 0x83825afb, - 0xe26cb01b, 0x8376b422, 0xe29d9a23, 0x836b207d, 0xe2ce88b3, 0x835fa00f, - 0xe2ff7bc3, 0x835432d8, - 0xe330734d, 0x8348d8dc, 0xe3616f48, 0x833d921b, 0xe3926fad, 0x83325e97, - 0xe3c37474, 0x83273e52, - 0xe3f47d96, 0x831c314e, 0xe4258b0a, 0x8311378d, 0xe4569ccb, 0x83065110, - 0xe487b2d0, 0x82fb7dd8, - 0xe4b8cd11, 0x82f0bde8, 0xe4e9eb87, 0x82e61141, 0xe51b0e2a, 0x82db77e5, - 0xe54c34f3, 0x82d0f1d5, - 0xe57d5fda, 0x82c67f14, 0xe5ae8ed8, 0x82bc1fa2, 0xe5dfc1e5, 0x82b1d381, - 0xe610f8f9, 0x82a79ab3, - 0xe642340d, 0x829d753a, 0xe6737319, 0x82936317, 0xe6a4b616, 0x8289644b, - 0xe6d5fcfc, 0x827f78d8, - 0xe70747c4, 0x8275a0c0, 0xe7389665, 0x826bdc04, 0xe769e8d8, 0x82622aa6, - 0xe79b3f16, 0x82588ca7, - 0xe7cc9917, 0x824f0208, 0xe7fdf6d4, 0x82458acc, 0xe82f5844, 0x823c26f3, - 0xe860bd61, 0x8232d67f, - 0xe8922622, 0x82299971, 0xe8c39280, 0x82206fcc, 0xe8f50273, 0x82175990, - 0xe92675f4, 0x820e56be, - 0xe957ecfb, 0x82056758, 0xe9896781, 0x81fc8b60, 0xe9bae57d, 0x81f3c2d7, - 0xe9ec66e8, 0x81eb0dbe, - 0xea1debbb, 0x81e26c16, 0xea4f73ee, 0x81d9dde1, 0xea80ff7a, 0x81d16321, - 0xeab28e56, 0x81c8fbd6, - 0xeae4207a, 0x81c0a801, 0xeb15b5e1, 0x81b867a5, 0xeb474e81, 0x81b03ac2, - 0xeb78ea52, 0x81a82159, - 0xebaa894f, 0x81a01b6d, 0xebdc2b6e, 0x819828fd, 0xec0dd0a8, 0x81904a0c, - 0xec3f78f6, 0x81887e9a, - 0xec71244f, 0x8180c6a9, 0xeca2d2ad, 0x8179223a, 0xecd48407, 0x8171914e, - 0xed063856, 0x816a13e6, - 0xed37ef91, 0x8162aa04, 0xed69a9b3, 0x815b53a8, 0xed9b66b2, 0x815410d4, - 0xedcd2687, 0x814ce188, - 0xedfee92b, 0x8145c5c7, 0xee30ae96, 0x813ebd90, 0xee6276bf, 0x8137c8e6, - 0xee9441a0, 0x8130e7c9, - 0xeec60f31, 0x812a1a3a, 0xeef7df6a, 0x8123603a, 0xef29b243, 0x811cb9ca, - 0xef5b87b5, 0x811626ec, - 0xef8d5fb8, 0x810fa7a0, 0xefbf3a45, 0x81093be8, 0xeff11753, 0x8102e3c4, - 0xf022f6da, 0x80fc9f35, - 0xf054d8d5, 0x80f66e3c, 0xf086bd39, 0x80f050db, 0xf0b8a401, 0x80ea4712, - 0xf0ea8d24, 0x80e450e2, - 0xf11c789a, 0x80de6e4c, 0xf14e665c, 0x80d89f51, 0xf1805662, 0x80d2e3f2, - 0xf1b248a5, 0x80cd3c2f, - 0xf1e43d1c, 0x80c7a80a, 0xf21633c0, 0x80c22784, 0xf2482c8a, 0x80bcba9d, - 0xf27a2771, 0x80b76156, - 0xf2ac246e, 0x80b21baf, 0xf2de2379, 0x80ace9ab, 0xf310248a, 0x80a7cb49, - 0xf342279b, 0x80a2c08b, - 0xf3742ca2, 0x809dc971, 0xf3a63398, 0x8098e5fb, 0xf3d83c77, 0x8094162c, - 0xf40a4735, 0x808f5a02, - 0xf43c53cb, 0x808ab180, 0xf46e6231, 0x80861ca6, 0xf4a07261, 0x80819b74, - 0xf4d28451, 0x807d2dec, - 0xf50497fb, 0x8078d40d, 0xf536ad56, 0x80748dd9, 0xf568c45b, 0x80705b50, - 0xf59add02, 0x806c3c74, - 0xf5ccf743, 0x80683143, 0xf5ff1318, 0x806439c0, 0xf6313077, 0x806055eb, - 0xf6634f59, 0x805c85c4, - 0xf6956fb7, 0x8058c94c, 0xf6c79188, 0x80552084, 0xf6f9b4c6, 0x80518b6b, - 0xf72bd967, 0x804e0a04, - 0xf75dff66, 0x804a9c4d, 0xf79026b9, 0x80474248, 0xf7c24f59, 0x8043fbf6, - 0xf7f4793e, 0x8040c956, - 0xf826a462, 0x803daa6a, 0xf858d0bb, 0x803a9f31, 0xf88afe42, 0x8037a7ac, - 0xf8bd2cef, 0x8034c3dd, - 0xf8ef5cbb, 0x8031f3c2, 0xf9218d9e, 0x802f375d, 0xf953bf91, 0x802c8ead, - 0xf985f28a, 0x8029f9b4, - 0xf9b82684, 0x80277872, 0xf9ea5b75, 0x80250ae7, 0xfa1c9157, 0x8022b114, - 0xfa4ec821, 0x80206af8, - 0xfa80ffcb, 0x801e3895, 0xfab3384f, 0x801c19ea, 0xfae571a4, 0x801a0ef8, - 0xfb17abc2, 0x801817bf, - 0xfb49e6a3, 0x80163440, 0xfb7c223d, 0x8014647b, 0xfbae5e89, 0x8012a86f, - 0xfbe09b80, 0x8011001f, - 0xfc12d91a, 0x800f6b88, 0xfc45174e, 0x800deaad, 0xfc775616, 0x800c7d8c, - 0xfca9956a, 0x800b2427, - 0xfcdbd541, 0x8009de7e, 0xfd0e1594, 0x8008ac90, 0xfd40565c, 0x80078e5e, - 0xfd729790, 0x800683e8, - 0xfda4d929, 0x80058d2f, 0xfdd71b1e, 0x8004aa32, 0xfe095d69, 0x8003daf1, - 0xfe3ba002, 0x80031f6d, - 0xfe6de2e0, 0x800277a6, 0xfea025fd, 0x8001e39b, 0xfed2694f, 0x8001634e, - 0xff04acd0, 0x8000f6bd, - 0xff36f078, 0x80009dea, 0xff69343f, 0x800058d4, 0xff9b781d, 0x8000277a, - 0xffcdbc0b, 0x800009df, - -}; - - -/* -* @brief Q15 Twiddle factors Table -*/ - -/** -* \par -* Example code for Q15 Twiddle factors Generation:: -* \par -* 
for(i = 0; i< 3N/4; i++)    
-* {    
-*	twiddleCoefQ15[2*i]= cos(i * 2*PI/(float)N);    
-*	twiddleCoefQ15[2*i+1]= sin(i * 2*PI/(float)N);    
-* }
-* \par -* where N = 4096 and PI = 3.14159265358979 -* \par -* Cos and Sin values are interleaved fashion -* \par -* Convert Floating point to Q15(Fixed point 1.15): -* round(twiddleCoefQ15(i) * pow(2, 15)) -* -*/ - -const q15_t ALIGN4 twiddleCoefQ15[6144] = { - - 0x7fff, 0x0, 0x7fff, 0x32, 0x7fff, 0x65, 0x7fff, 0x97, - 0x7fff, 0xc9, 0x7fff, 0xfb, 0x7fff, 0x12e, 0x7ffe, 0x160, - 0x7ffe, 0x192, 0x7ffd, 0x1c4, 0x7ffc, 0x1f7, 0x7ffb, 0x229, - 0x7ffa, 0x25b, 0x7ff9, 0x28d, 0x7ff8, 0x2c0, 0x7ff7, 0x2f2, - 0x7ff6, 0x324, 0x7ff5, 0x356, 0x7ff4, 0x389, 0x7ff2, 0x3bb, - 0x7ff1, 0x3ed, 0x7fef, 0x41f, 0x7fed, 0x452, 0x7fec, 0x484, - 0x7fea, 0x4b6, 0x7fe8, 0x4e8, 0x7fe6, 0x51b, 0x7fe4, 0x54d, - 0x7fe2, 0x57f, 0x7fe0, 0x5b1, 0x7fdd, 0x5e3, 0x7fdb, 0x616, - 0x7fd9, 0x648, 0x7fd6, 0x67a, 0x7fd3, 0x6ac, 0x7fd1, 0x6de, - 0x7fce, 0x711, 0x7fcb, 0x743, 0x7fc8, 0x775, 0x7fc5, 0x7a7, - 0x7fc2, 0x7d9, 0x7fbf, 0x80c, 0x7fbc, 0x83e, 0x7fb9, 0x870, - 0x7fb5, 0x8a2, 0x7fb2, 0x8d4, 0x7fae, 0x906, 0x7fab, 0x938, - 0x7fa7, 0x96b, 0x7fa3, 0x99d, 0x7fa0, 0x9cf, 0x7f9c, 0xa01, - 0x7f98, 0xa33, 0x7f94, 0xa65, 0x7f90, 0xa97, 0x7f8b, 0xac9, - 0x7f87, 0xafb, 0x7f83, 0xb2d, 0x7f7e, 0xb60, 0x7f7a, 0xb92, - 0x7f75, 0xbc4, 0x7f71, 0xbf6, 0x7f6c, 0xc28, 0x7f67, 0xc5a, - 0x7f62, 0xc8c, 0x7f5d, 0xcbe, 0x7f58, 0xcf0, 0x7f53, 0xd22, - 0x7f4e, 0xd54, 0x7f49, 0xd86, 0x7f43, 0xdb8, 0x7f3e, 0xdea, - 0x7f38, 0xe1c, 0x7f33, 0xe4e, 0x7f2d, 0xe80, 0x7f27, 0xeb2, - 0x7f22, 0xee4, 0x7f1c, 0xf15, 0x7f16, 0xf47, 0x7f10, 0xf79, - 0x7f0a, 0xfab, 0x7f03, 0xfdd, 0x7efd, 0x100f, 0x7ef7, 0x1041, - 0x7ef0, 0x1073, 0x7eea, 0x10a4, 0x7ee3, 0x10d6, 0x7edd, 0x1108, - 0x7ed6, 0x113a, 0x7ecf, 0x116c, 0x7ec8, 0x119e, 0x7ec1, 0x11cf, - 0x7eba, 0x1201, 0x7eb3, 0x1233, 0x7eac, 0x1265, 0x7ea5, 0x1296, - 0x7e9d, 0x12c8, 0x7e96, 0x12fa, 0x7e8e, 0x132b, 0x7e87, 0x135d, - 0x7e7f, 0x138f, 0x7e78, 0x13c1, 0x7e70, 0x13f2, 0x7e68, 0x1424, - 0x7e60, 0x1455, 0x7e58, 0x1487, 0x7e50, 0x14b9, 0x7e48, 0x14ea, - 0x7e3f, 0x151c, 0x7e37, 0x154d, 0x7e2f, 0x157f, 0x7e26, 0x15b1, - 0x7e1e, 0x15e2, 0x7e15, 0x1614, 0x7e0c, 0x1645, 0x7e03, 0x1677, - 0x7dfb, 0x16a8, 0x7df2, 0x16da, 0x7de9, 0x170b, 0x7de0, 0x173c, - 0x7dd6, 0x176e, 0x7dcd, 0x179f, 0x7dc4, 0x17d1, 0x7dba, 0x1802, - 0x7db1, 0x1833, 0x7da7, 0x1865, 0x7d9e, 0x1896, 0x7d94, 0x18c7, - 0x7d8a, 0x18f9, 0x7d81, 0x192a, 0x7d77, 0x195b, 0x7d6d, 0x198d, - 0x7d63, 0x19be, 0x7d58, 0x19ef, 0x7d4e, 0x1a20, 0x7d44, 0x1a51, - 0x7d3a, 0x1a83, 0x7d2f, 0x1ab4, 0x7d25, 0x1ae5, 0x7d1a, 0x1b16, - 0x7d0f, 0x1b47, 0x7d05, 0x1b78, 0x7cfa, 0x1ba9, 0x7cef, 0x1bda, - 0x7ce4, 0x1c0c, 0x7cd9, 0x1c3d, 0x7cce, 0x1c6e, 0x7cc2, 0x1c9f, - 0x7cb7, 0x1cd0, 0x7cac, 0x1d01, 0x7ca0, 0x1d31, 0x7c95, 0x1d62, - 0x7c89, 0x1d93, 0x7c7e, 0x1dc4, 0x7c72, 0x1df5, 0x7c66, 0x1e26, - 0x7c5a, 0x1e57, 0x7c4e, 0x1e88, 0x7c42, 0x1eb8, 0x7c36, 0x1ee9, - 0x7c2a, 0x1f1a, 0x7c1e, 0x1f4b, 0x7c11, 0x1f7b, 0x7c05, 0x1fac, - 0x7bf9, 0x1fdd, 0x7bec, 0x200e, 0x7bdf, 0x203e, 0x7bd3, 0x206f, - 0x7bc6, 0x209f, 0x7bb9, 0x20d0, 0x7bac, 0x2101, 0x7b9f, 0x2131, - 0x7b92, 0x2162, 0x7b85, 0x2192, 0x7b78, 0x21c3, 0x7b6a, 0x21f3, - 0x7b5d, 0x2224, 0x7b50, 0x2254, 0x7b42, 0x2284, 0x7b34, 0x22b5, - 0x7b27, 0x22e5, 0x7b19, 0x2316, 0x7b0b, 0x2346, 0x7afd, 0x2376, - 0x7aef, 0x23a7, 0x7ae1, 0x23d7, 0x7ad3, 0x2407, 0x7ac5, 0x2437, - 0x7ab7, 0x2467, 0x7aa8, 0x2498, 0x7a9a, 0x24c8, 0x7a8c, 0x24f8, - 0x7a7d, 0x2528, 0x7a6e, 0x2558, 0x7a60, 0x2588, 0x7a51, 0x25b8, - 0x7a42, 0x25e8, 0x7a33, 0x2618, 0x7a24, 0x2648, 0x7a15, 0x2678, - 0x7a06, 0x26a8, 0x79f7, 0x26d8, 0x79e7, 0x2708, 0x79d8, 0x2738, - 0x79c9, 0x2768, 0x79b9, 0x2797, 0x79aa, 0x27c7, 0x799a, 0x27f7, - 0x798a, 0x2827, 0x797a, 0x2856, 0x796a, 0x2886, 0x795b, 0x28b6, - 0x794a, 0x28e5, 0x793a, 0x2915, 0x792a, 0x2945, 0x791a, 0x2974, - 0x790a, 0x29a4, 0x78f9, 0x29d3, 0x78e9, 0x2a03, 0x78d8, 0x2a32, - 0x78c8, 0x2a62, 0x78b7, 0x2a91, 0x78a6, 0x2ac1, 0x7895, 0x2af0, - 0x7885, 0x2b1f, 0x7874, 0x2b4f, 0x7863, 0x2b7e, 0x7851, 0x2bad, - 0x7840, 0x2bdc, 0x782f, 0x2c0c, 0x781e, 0x2c3b, 0x780c, 0x2c6a, - 0x77fb, 0x2c99, 0x77e9, 0x2cc8, 0x77d8, 0x2cf7, 0x77c6, 0x2d26, - 0x77b4, 0x2d55, 0x77a2, 0x2d84, 0x7790, 0x2db3, 0x777e, 0x2de2, - 0x776c, 0x2e11, 0x775a, 0x2e40, 0x7748, 0x2e6f, 0x7736, 0x2e9e, - 0x7723, 0x2ecc, 0x7711, 0x2efb, 0x76fe, 0x2f2a, 0x76ec, 0x2f59, - 0x76d9, 0x2f87, 0x76c7, 0x2fb6, 0x76b4, 0x2fe5, 0x76a1, 0x3013, - 0x768e, 0x3042, 0x767b, 0x3070, 0x7668, 0x309f, 0x7655, 0x30cd, - 0x7642, 0x30fc, 0x762e, 0x312a, 0x761b, 0x3159, 0x7608, 0x3187, - 0x75f4, 0x31b5, 0x75e1, 0x31e4, 0x75cd, 0x3212, 0x75b9, 0x3240, - 0x75a6, 0x326e, 0x7592, 0x329d, 0x757e, 0x32cb, 0x756a, 0x32f9, - 0x7556, 0x3327, 0x7542, 0x3355, 0x752d, 0x3383, 0x7519, 0x33b1, - 0x7505, 0x33df, 0x74f0, 0x340d, 0x74dc, 0x343b, 0x74c7, 0x3469, - 0x74b3, 0x3497, 0x749e, 0x34c4, 0x7489, 0x34f2, 0x7475, 0x3520, - 0x7460, 0x354e, 0x744b, 0x357b, 0x7436, 0x35a9, 0x7421, 0x35d7, - 0x740b, 0x3604, 0x73f6, 0x3632, 0x73e1, 0x365f, 0x73cb, 0x368d, - 0x73b6, 0x36ba, 0x73a0, 0x36e8, 0x738b, 0x3715, 0x7375, 0x3742, - 0x735f, 0x3770, 0x734a, 0x379d, 0x7334, 0x37ca, 0x731e, 0x37f7, - 0x7308, 0x3825, 0x72f2, 0x3852, 0x72dc, 0x387f, 0x72c5, 0x38ac, - 0x72af, 0x38d9, 0x7299, 0x3906, 0x7282, 0x3933, 0x726c, 0x3960, - 0x7255, 0x398d, 0x723f, 0x39ba, 0x7228, 0x39e7, 0x7211, 0x3a13, - 0x71fa, 0x3a40, 0x71e3, 0x3a6d, 0x71cc, 0x3a9a, 0x71b5, 0x3ac6, - 0x719e, 0x3af3, 0x7187, 0x3b20, 0x7170, 0x3b4c, 0x7158, 0x3b79, - 0x7141, 0x3ba5, 0x712a, 0x3bd2, 0x7112, 0x3bfe, 0x70fa, 0x3c2a, - 0x70e3, 0x3c57, 0x70cb, 0x3c83, 0x70b3, 0x3caf, 0x709b, 0x3cdc, - 0x7083, 0x3d08, 0x706b, 0x3d34, 0x7053, 0x3d60, 0x703b, 0x3d8c, - 0x7023, 0x3db8, 0x700b, 0x3de4, 0x6ff2, 0x3e10, 0x6fda, 0x3e3c, - 0x6fc2, 0x3e68, 0x6fa9, 0x3e94, 0x6f90, 0x3ec0, 0x6f78, 0x3eec, - 0x6f5f, 0x3f17, 0x6f46, 0x3f43, 0x6f2d, 0x3f6f, 0x6f14, 0x3f9a, - 0x6efb, 0x3fc6, 0x6ee2, 0x3ff1, 0x6ec9, 0x401d, 0x6eb0, 0x4048, - 0x6e97, 0x4074, 0x6e7d, 0x409f, 0x6e64, 0x40cb, 0x6e4a, 0x40f6, - 0x6e31, 0x4121, 0x6e17, 0x414d, 0x6dfe, 0x4178, 0x6de4, 0x41a3, - 0x6dca, 0x41ce, 0x6db0, 0x41f9, 0x6d96, 0x4224, 0x6d7c, 0x424f, - 0x6d62, 0x427a, 0x6d48, 0x42a5, 0x6d2e, 0x42d0, 0x6d14, 0x42fb, - 0x6cf9, 0x4326, 0x6cdf, 0x4351, 0x6cc4, 0x437b, 0x6caa, 0x43a6, - 0x6c8f, 0x43d1, 0x6c75, 0x43fb, 0x6c5a, 0x4426, 0x6c3f, 0x4450, - 0x6c24, 0x447b, 0x6c09, 0x44a5, 0x6bee, 0x44d0, 0x6bd3, 0x44fa, - 0x6bb8, 0x4524, 0x6b9d, 0x454f, 0x6b82, 0x4579, 0x6b66, 0x45a3, - 0x6b4b, 0x45cd, 0x6b30, 0x45f7, 0x6b14, 0x4621, 0x6af8, 0x464b, - 0x6add, 0x4675, 0x6ac1, 0x469f, 0x6aa5, 0x46c9, 0x6a89, 0x46f3, - 0x6a6e, 0x471d, 0x6a52, 0x4747, 0x6a36, 0x4770, 0x6a1a, 0x479a, - 0x69fd, 0x47c4, 0x69e1, 0x47ed, 0x69c5, 0x4817, 0x69a9, 0x4840, - 0x698c, 0x486a, 0x6970, 0x4893, 0x6953, 0x48bd, 0x6937, 0x48e6, - 0x691a, 0x490f, 0x68fd, 0x4939, 0x68e0, 0x4962, 0x68c4, 0x498b, - 0x68a7, 0x49b4, 0x688a, 0x49dd, 0x686d, 0x4a06, 0x6850, 0x4a2f, - 0x6832, 0x4a58, 0x6815, 0x4a81, 0x67f8, 0x4aaa, 0x67da, 0x4ad3, - 0x67bd, 0x4afb, 0x67a0, 0x4b24, 0x6782, 0x4b4d, 0x6764, 0x4b75, - 0x6747, 0x4b9e, 0x6729, 0x4bc7, 0x670b, 0x4bef, 0x66ed, 0x4c17, - 0x66d0, 0x4c40, 0x66b2, 0x4c68, 0x6693, 0x4c91, 0x6675, 0x4cb9, - 0x6657, 0x4ce1, 0x6639, 0x4d09, 0x661b, 0x4d31, 0x65fc, 0x4d59, - 0x65de, 0x4d81, 0x65c0, 0x4da9, 0x65a1, 0x4dd1, 0x6582, 0x4df9, - 0x6564, 0x4e21, 0x6545, 0x4e49, 0x6526, 0x4e71, 0x6507, 0x4e98, - 0x64e9, 0x4ec0, 0x64ca, 0x4ee8, 0x64ab, 0x4f0f, 0x648b, 0x4f37, - 0x646c, 0x4f5e, 0x644d, 0x4f85, 0x642e, 0x4fad, 0x640f, 0x4fd4, - 0x63ef, 0x4ffb, 0x63d0, 0x5023, 0x63b0, 0x504a, 0x6391, 0x5071, - 0x6371, 0x5098, 0x6351, 0x50bf, 0x6332, 0x50e6, 0x6312, 0x510d, - 0x62f2, 0x5134, 0x62d2, 0x515b, 0x62b2, 0x5181, 0x6292, 0x51a8, - 0x6272, 0x51cf, 0x6252, 0x51f5, 0x6232, 0x521c, 0x6211, 0x5243, - 0x61f1, 0x5269, 0x61d1, 0x5290, 0x61b0, 0x52b6, 0x6190, 0x52dc, - 0x616f, 0x5303, 0x614e, 0x5329, 0x612e, 0x534f, 0x610d, 0x5375, - 0x60ec, 0x539b, 0x60cb, 0x53c1, 0x60aa, 0x53e7, 0x6089, 0x540d, - 0x6068, 0x5433, 0x6047, 0x5459, 0x6026, 0x547f, 0x6005, 0x54a4, - 0x5fe4, 0x54ca, 0x5fc2, 0x54f0, 0x5fa1, 0x5515, 0x5f80, 0x553b, - 0x5f5e, 0x5560, 0x5f3c, 0x5586, 0x5f1b, 0x55ab, 0x5ef9, 0x55d0, - 0x5ed7, 0x55f6, 0x5eb6, 0x561b, 0x5e94, 0x5640, 0x5e72, 0x5665, - 0x5e50, 0x568a, 0x5e2e, 0x56af, 0x5e0c, 0x56d4, 0x5dea, 0x56f9, - 0x5dc8, 0x571e, 0x5da5, 0x5743, 0x5d83, 0x5767, 0x5d61, 0x578c, - 0x5d3e, 0x57b1, 0x5d1c, 0x57d5, 0x5cf9, 0x57fa, 0x5cd7, 0x581e, - 0x5cb4, 0x5843, 0x5c91, 0x5867, 0x5c6f, 0x588c, 0x5c4c, 0x58b0, - 0x5c29, 0x58d4, 0x5c06, 0x58f8, 0x5be3, 0x591c, 0x5bc0, 0x5940, - 0x5b9d, 0x5964, 0x5b7a, 0x5988, 0x5b57, 0x59ac, 0x5b34, 0x59d0, - 0x5b10, 0x59f4, 0x5aed, 0x5a18, 0x5ac9, 0x5a3b, 0x5aa6, 0x5a5f, - 0x5a82, 0x5a82, 0x5a5f, 0x5aa6, 0x5a3b, 0x5ac9, 0x5a18, 0x5aed, - 0x59f4, 0x5b10, 0x59d0, 0x5b34, 0x59ac, 0x5b57, 0x5988, 0x5b7a, - 0x5964, 0x5b9d, 0x5940, 0x5bc0, 0x591c, 0x5be3, 0x58f8, 0x5c06, - 0x58d4, 0x5c29, 0x58b0, 0x5c4c, 0x588c, 0x5c6f, 0x5867, 0x5c91, - 0x5843, 0x5cb4, 0x581e, 0x5cd7, 0x57fa, 0x5cf9, 0x57d5, 0x5d1c, - 0x57b1, 0x5d3e, 0x578c, 0x5d61, 0x5767, 0x5d83, 0x5743, 0x5da5, - 0x571e, 0x5dc8, 0x56f9, 0x5dea, 0x56d4, 0x5e0c, 0x56af, 0x5e2e, - 0x568a, 0x5e50, 0x5665, 0x5e72, 0x5640, 0x5e94, 0x561b, 0x5eb6, - 0x55f6, 0x5ed7, 0x55d0, 0x5ef9, 0x55ab, 0x5f1b, 0x5586, 0x5f3c, - 0x5560, 0x5f5e, 0x553b, 0x5f80, 0x5515, 0x5fa1, 0x54f0, 0x5fc2, - 0x54ca, 0x5fe4, 0x54a4, 0x6005, 0x547f, 0x6026, 0x5459, 0x6047, - 0x5433, 0x6068, 0x540d, 0x6089, 0x53e7, 0x60aa, 0x53c1, 0x60cb, - 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0xd958, 0x85fa, 0xd988, 0x85eb, 0xd9b8, 0x85dc, 0xd9e8, 0x85cd, - 0xda18, 0x85be, 0xda48, 0x85af, 0xda78, 0x85a0, 0xdaa8, 0x8592, - 0xdad8, 0x8583, 0xdb08, 0x8574, 0xdb38, 0x8566, 0xdb68, 0x8558, - 0xdb99, 0x8549, 0xdbc9, 0x853b, 0xdbf9, 0x852d, 0xdc29, 0x851f, - 0xdc59, 0x8511, 0xdc8a, 0x8503, 0xdcba, 0x84f5, 0xdcea, 0x84e7, - 0xdd1b, 0x84d9, 0xdd4b, 0x84cc, 0xdd7c, 0x84be, 0xddac, 0x84b0, - 0xdddc, 0x84a3, 0xde0d, 0x8496, 0xde3d, 0x8488, 0xde6e, 0x847b, - 0xde9e, 0x846e, 0xdecf, 0x8461, 0xdeff, 0x8454, 0xdf30, 0x8447, - 0xdf61, 0x843a, 0xdf91, 0x842d, 0xdfc2, 0x8421, 0xdff2, 0x8414, - 0xe023, 0x8407, 0xe054, 0x83fb, 0xe085, 0x83ef, 0xe0b5, 0x83e2, - 0xe0e6, 0x83d6, 0xe117, 0x83ca, 0xe148, 0x83be, 0xe178, 0x83b2, - 0xe1a9, 0x83a6, 0xe1da, 0x839a, 0xe20b, 0x838e, 0xe23c, 0x8382, - 0xe26d, 0x8377, 0xe29e, 0x836b, 0xe2cf, 0x8360, 0xe2ff, 0x8354, - 0xe330, 0x8349, 0xe361, 0x833e, 0xe392, 0x8332, 0xe3c3, 0x8327, - 0xe3f4, 0x831c, 0xe426, 0x8311, 0xe457, 0x8306, 0xe488, 0x82fb, - 0xe4b9, 0x82f1, 0xe4ea, 0x82e6, 0xe51b, 0x82db, 0xe54c, 0x82d1, - 0xe57d, 0x82c6, 0xe5af, 0x82bc, 0xe5e0, 0x82b2, 0xe611, 0x82a8, - 0xe642, 0x829d, 0xe673, 0x8293, 0xe6a5, 0x8289, 0xe6d6, 0x827f, - 0xe707, 0x8276, 0xe739, 0x826c, 0xe76a, 0x8262, 0xe79b, 0x8259, - 0xe7cd, 0x824f, 0xe7fe, 0x8246, 0xe82f, 0x823c, 0xe861, 0x8233, - 0xe892, 0x822a, 0xe8c4, 0x8220, 0xe8f5, 0x8217, 0xe926, 0x820e, - 0xe958, 0x8205, 0xe989, 0x81fd, 0xe9bb, 0x81f4, 0xe9ec, 0x81eb, - 0xea1e, 0x81e2, 0xea4f, 0x81da, 0xea81, 0x81d1, 0xeab3, 0x81c9, - 0xeae4, 0x81c1, 0xeb16, 0x81b8, 0xeb47, 0x81b0, 0xeb79, 0x81a8, - 0xebab, 0x81a0, 0xebdc, 0x8198, 0xec0e, 0x8190, 0xec3f, 0x8188, - 0xec71, 0x8181, 0xeca3, 0x8179, 0xecd5, 0x8172, 0xed06, 0x816a, - 0xed38, 0x8163, 0xed6a, 0x815b, 0xed9b, 0x8154, 0xedcd, 0x814d, - 0xedff, 0x8146, 0xee31, 0x813f, 0xee62, 0x8138, 0xee94, 0x8131, - 0xeec6, 0x812a, 0xeef8, 0x8123, 0xef2a, 0x811d, 0xef5c, 0x8116, - 0xef8d, 0x8110, 0xefbf, 0x8109, 0xeff1, 0x8103, 0xf023, 0x80fd, - 0xf055, 0x80f6, 0xf087, 0x80f0, 0xf0b9, 0x80ea, 0xf0eb, 0x80e4, - 0xf11c, 0x80de, 0xf14e, 0x80d9, 0xf180, 0x80d3, 0xf1b2, 0x80cd, - 0xf1e4, 0x80c8, 0xf216, 0x80c2, 0xf248, 0x80bd, 0xf27a, 0x80b7, - 0xf2ac, 0x80b2, 0xf2de, 0x80ad, 0xf310, 0x80a8, 0xf342, 0x80a3, - 0xf374, 0x809e, 0xf3a6, 0x8099, 0xf3d8, 0x8094, 0xf40a, 0x808f, - 0xf43c, 0x808b, 0xf46e, 0x8086, 0xf4a0, 0x8082, 0xf4d3, 0x807d, - 0xf505, 0x8079, 0xf537, 0x8075, 0xf569, 0x8070, 0xf59b, 0x806c, - 0xf5cd, 0x8068, 0xf5ff, 0x8064, 0xf631, 0x8060, 0xf663, 0x805d, - 0xf695, 0x8059, 0xf6c8, 0x8055, 0xf6fa, 0x8052, 0xf72c, 0x804e, - 0xf75e, 0x804b, 0xf790, 0x8047, 0xf7c2, 0x8044, 0xf7f4, 0x8041, - 0xf827, 0x803e, 0xf859, 0x803b, 0xf88b, 0x8038, 0xf8bd, 0x8035, - 0xf8ef, 0x8032, 0xf922, 0x802f, 0xf954, 0x802d, 0xf986, 0x802a, - 0xf9b8, 0x8027, 0xf9ea, 0x8025, 0xfa1d, 0x8023, 0xfa4f, 0x8020, - 0xfa81, 0x801e, 0xfab3, 0x801c, 0xfae5, 0x801a, 0xfb18, 0x8018, - 0xfb4a, 0x8016, 0xfb7c, 0x8014, 0xfbae, 0x8013, 0xfbe1, 0x8011, - 0xfc13, 0x800f, 0xfc45, 0x800e, 0xfc77, 0x800c, 0xfcaa, 0x800b, - 0xfcdc, 0x800a, 0xfd0e, 0x8009, 0xfd40, 0x8008, 0xfd73, 0x8007, - 0xfda5, 0x8006, 0xfdd7, 0x8005, 0xfe09, 0x8004, 0xfe3c, 0x8003, - 0xfe6e, 0x8002, 0xfea0, 0x8002, 0xfed2, 0x8001, 0xff05, 0x8001, - 0xff37, 0x8001, 0xff69, 0x8000, 0xff9b, 0x8000, 0xffce, 0x8000, -}; - -/** - * @} end of CFFT_CIFFT group - */ - -/* -* @brief Q15 table for reciprocal -*/ -const q15_t ALIGN4 armRecipTableQ15[64] = { - 0x7F03, 0x7D13, 0x7B31, 0x795E, 0x7798, 0x75E0, - 0x7434, 0x7294, 0x70FF, 0x6F76, 0x6DF6, 0x6C82, - 0x6B16, 0x69B5, 0x685C, 0x670C, 0x65C4, 0x6484, - 0x634C, 0x621C, 0x60F3, 0x5FD0, 0x5EB5, 0x5DA0, - 0x5C91, 0x5B88, 0x5A85, 0x5988, 0x5890, 0x579E, - 0x56B0, 0x55C8, 0x54E4, 0x5405, 0x532B, 0x5255, - 0x5183, 0x50B6, 0x4FEC, 0x4F26, 0x4E64, 0x4DA6, - 0x4CEC, 0x4C34, 0x4B81, 0x4AD0, 0x4A23, 0x4978, - 0x48D1, 0x482D, 0x478C, 0x46ED, 0x4651, 0x45B8, - 0x4521, 0x448D, 0x43FC, 0x436C, 0x42DF, 0x4255, - 0x41CC, 0x4146, 0x40C2, 0x4040 -}; - -/* -* @brief Q31 table for reciprocal -*/ -const q31_t armRecipTableQ31[64] = { - 0x7F03F03F, 0x7D137420, 0x7B31E739, 0x795E9F94, 0x7798FD29, 0x75E06928, - 0x7434554D, 0x72943B4B, 0x70FF9C40, 0x6F760031, 0x6DF6F593, 0x6C8210E3, - 0x6B16EC3A, 0x69B526F6, 0x685C655F, 0x670C505D, 0x65C4952D, 0x6484E519, - 0x634CF53E, 0x621C7E4F, 0x60F33C61, 0x5FD0EEB3, 0x5EB55785, 0x5DA03BEB, - 0x5C9163A1, 0x5B8898E6, 0x5A85A85A, 0x598860DF, 0x58909373, 0x579E1318, - 0x56B0B4B8, 0x55C84F0B, 0x54E4BA80, 0x5405D124, 0x532B6E8F, 0x52556FD0, - 0x5183B35A, 0x50B618F3, 0x4FEC81A2, 0x4F26CFA2, 0x4E64E64E, 0x4DA6AA1D, - 0x4CEC008B, 0x4C34D010, 0x4B810016, 0x4AD078EF, 0x4A2323C4, 0x4978EA96, - 0x48D1B827, 0x482D77FE, 0x478C1657, 0x46ED801D, 0x4651A2E5, 0x45B86CE2, - 0x4521CCE1, 0x448DB244, 0x43FC0CFA, 0x436CCD78, 0x42DFE4B4, 0x42554426, - 0x41CCDDB6, 0x4146A3C6, 0x40C28923, 0x40408102 -}; diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_conj_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_conj_f32.c deleted file mode 100644 index 31bbaa7a8..000000000 --- a/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_conj_f32.c +++ /dev/null @@ -1,174 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010 ARM Limited. All rights reserved. -* -* $Date: 15. February 2012 -* $Revision: V1.1.0 -* -* Project: CMSIS DSP Library -* Title: arm_cmplx_conj_f32.c -* -* Description: Floating-point complex conjugate. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Version 1.1.0 2012/02/15 -* Updated with more optimizations, bug fixes and minor API changes. -* -* Version 1.0.10 2011/7/15 -* Big Endian support added and Merged M0 and M3/M4 Source code. -* -* Version 1.0.3 2010/11/29 -* Re-organized the CMSIS folders and updated documentation. -* -* Version 1.0.2 2010/11/11 -* Documentation updated. -* -* Version 1.0.1 2010/10/05 -* Production release and review comments incorporated. -* -* Version 1.0.0 2010/09/20 -* Production release and review comments incorporated. -* ---------------------------------------------------------------------------- */ -#include "arm_math.h" - -/** - * @ingroup groupCmplxMath - */ - -/** - * @defgroup cmplx_conj Complex Conjugate - * - * Conjugates the elements of a complex data vector. - * - * The pSrc points to the source data and - * pDst points to the where the result should be written. - * numSamples specifies the number of complex samples - * and the data in each array is stored in an interleaved fashion - * (real, imag, real, imag, ...). - * Each array has a total of 2*numSamples values. - * The underlying algorithm is used: - * - * 
        
- * for(n=0; n        
- *        
- * There are separate functions for floating-point, Q15, and Q31 data types.        
- */
-
-/**        
- * @addtogroup cmplx_conj        
- * @{        
- */
-
-/**        
- * @brief  Floating-point complex conjugate.        
- * @param  *pSrc points to the input vector        
- * @param  *pDst points to the output vector        
- * @param  numSamples number of complex samples in each vector        
- * @return none.        
- */
-
-void arm_cmplx_conj_f32(
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t numSamples)
-{
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  float32_t inR1, inR2, inR3, inR4;
-  float32_t inI1, inI2, inI3, inI4;
-
-  /*loop Unrolling */
-  blkCnt = numSamples >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.        
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C[0]+jC[1] = A[0]+ j (-1) A[1] */
-    /* Calculate Complex Conjugate and then store the results in the destination buffer. */
-    /* read real input samples */
-    inR1 = pSrc[0];
-    /* store real samples to destination */
-    pDst[0] = inR1;
-    inR2 = pSrc[2];
-    pDst[2] = inR2;
-    inR3 = pSrc[4];
-    pDst[4] = inR3;
-    inR4 = pSrc[6];
-    pDst[6] = inR4;
-
-    /* read imaginary input samples */
-    inI1 = pSrc[1];
-    inI2 = pSrc[3];
-
-    /* conjugate input */
-    inI1 = -inI1;
-
-    /* read imaginary input samples */
-    inI3 = pSrc[5];
-
-    /* conjugate input */
-    inI2 = -inI2;
-
-    /* read imaginary input samples */
-    inI4 = pSrc[7];
-
-    /* conjugate input */
-    inI3 = -inI3;
-
-    /* store imaginary samples to destination */
-    pDst[1] = inI1;
-    pDst[3] = inI2;
-
-    /* conjugate input */
-    inI4 = -inI4;
-
-    /* store imaginary samples to destination */
-    pDst[5] = inI3;
-
-    /* increment source pointer by 8 to process next sampels */
-    pSrc += 8u;
-
-    /* store imaginary sample to destination */
-    pDst[7] = inI4;
-
-    /* increment destination pointer by 8 to store next samples */
-    pDst += 8u;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.        
-   ** No loop unrolling is used. */
-  blkCnt = numSamples % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  blkCnt = numSamples;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  while(blkCnt > 0u)
-  {
-    /* realOut + j (imagOut) = realIn + j (-1) imagIn */
-    /* Calculate Complex Conjugate and then store the results in the destination buffer. */
-    *pDst++ = *pSrc++;
-    *pDst++ = -*pSrc++;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-}
-
-/**        
- * @} end of cmplx_conj group        
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_conj_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_conj_q15.c
deleted file mode 100644
index c5a370315..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_conj_q15.c
+++ /dev/null
@@ -1,153 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_cmplx_conj_q15.c    
-*    
-* Description:	Q15 complex conjugate.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupCmplxMath    
- */
-
-/**    
- * @addtogroup cmplx_conj    
- * @{    
- */
-
-/**    
- * @brief  Q15 complex conjugate.    
- * @param  *pSrc points to the input vector    
- * @param  *pDst points to the output vector    
- * @param  numSamples number of complex samples in each vector    
- * @return none.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function uses saturating arithmetic.    
- * The Q15 value -1 (0x8000) will be saturated to the maximum allowable positive value 0x7FFF.    
- */
-
-void arm_cmplx_conj_q15(
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t numSamples)
-{
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  uint32_t blkCnt;                               /* loop counter */
-  q31_t in1, in2, in3, in4;
-  q31_t zero = 0;
-
-  /*loop Unrolling */
-  blkCnt = numSamples >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C[0]+jC[1] = A[0]+ j (-1) A[1] */
-    /* Calculate Complex Conjugate and then store the results in the destination buffer. */
-    in1 = *__SIMD32(pSrc)++;
-    in2 = *__SIMD32(pSrc)++;
-    in3 = *__SIMD32(pSrc)++;
-    in4 = *__SIMD32(pSrc)++;
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    in1 = __QASX(zero, in1);
-    in2 = __QASX(zero, in2);
-    in3 = __QASX(zero, in3);
-    in4 = __QASX(zero, in4);
-
-#else
-
-    in1 = __QSAX(zero, in1);
-    in2 = __QSAX(zero, in2);
-    in3 = __QSAX(zero, in3);
-    in4 = __QSAX(zero, in4);
-
-#endif //       #ifndef ARM_MATH_BIG_ENDIAN
-
-    in1 = ((uint32_t) in1 >> 16) | ((uint32_t) in1 << 16);
-    in2 = ((uint32_t) in2 >> 16) | ((uint32_t) in2 << 16);
-    in3 = ((uint32_t) in3 >> 16) | ((uint32_t) in3 << 16);
-    in4 = ((uint32_t) in4 >> 16) | ((uint32_t) in4 << 16);
-
-    *__SIMD32(pDst)++ = in1;
-    *__SIMD32(pDst)++ = in2;
-    *__SIMD32(pDst)++ = in3;
-    *__SIMD32(pDst)++ = in4;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = numSamples % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* C[0]+jC[1] = A[0]+ j (-1) A[1] */
-    /* Calculate Complex Conjugate and then store the results in the destination buffer. */
-    *pDst++ = *pSrc++;
-    *pDst++ = __SSAT(-*pSrc++, 16);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-#else
-
-  q15_t in;
-
-  /* Run the below code for Cortex-M0 */
-
-  while(numSamples > 0u)
-  {
-    /* realOut + j (imagOut) = realIn+ j (-1) imagIn */
-    /* Calculate Complex Conjugate and then store the results in the destination buffer. */
-    *pDst++ = *pSrc++;
-    in = *pSrc++;
-    *pDst++ = (in == (q15_t) 0x8000) ? 0x7fff : -in;
-
-    /* Decrement the loop counter */
-    numSamples--;
-  }
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-}
-
-/**    
- * @} end of cmplx_conj group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_conj_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_conj_q31.c
deleted file mode 100644
index 7475962d5..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_conj_q31.c
+++ /dev/null
@@ -1,172 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_cmplx_conj_q31.c    
-*    
-* Description:	Q31 complex conjugate.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* ---------------------------------------------------------------------------- */
-#include "arm_math.h"
-
-/**        
- * @ingroup groupCmplxMath        
- */
-
-/**        
- * @addtogroup cmplx_conj        
- * @{        
- */
-
-/**        
- * @brief  Q31 complex conjugate.        
- * @param  *pSrc points to the input vector        
- * @param  *pDst points to the output vector        
- * @param  numSamples number of complex samples in each vector        
- * @return none.        
- *        
- * Scaling and Overflow Behavior:        
- * \par        
- * The function uses saturating arithmetic.        
- * The Q31 value -1 (0x80000000) will be saturated to the maximum allowable positive value 0x7FFFFFFF.        
- */
-
-void arm_cmplx_conj_q31(
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t numSamples)
-{
-  uint32_t blkCnt;                               /* loop counter */
-  q31_t in;                                      /* Input value */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  q31_t inR1, inR2, inR3, inR4;                  /* Temporary real variables */
-  q31_t inI1, inI2, inI3, inI4;                  /* Temporary imaginary variables */
-
-  /*loop Unrolling */
-  blkCnt = numSamples >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.        
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C[0]+jC[1] = A[0]+ j (-1) A[1] */
-    /* Calculate Complex Conjugate and then store the results in the destination buffer. */
-    /* Saturated to 0x7fffffff if the input is -1(0x80000000) */
-    /* read real input sample */
-    inR1 = pSrc[0];
-    /* store real input sample */
-    pDst[0] = inR1;
-
-    /* read imaginary input sample */
-    inI1 = pSrc[1];
-
-    /* read real input sample */
-    inR2 = pSrc[2];
-    /* store real input sample */
-    pDst[2] = inR2;
-
-    /* read imaginary input sample */
-    inI2 = pSrc[3];
-
-    /* negate imaginary input sample */
-    inI1 = __QSUB(0, inI1);
-
-    /* read real input sample */
-    inR3 = pSrc[4];
-    /* store real input sample */
-    pDst[4] = inR3;
-
-    /* read imaginary input sample */
-    inI3 = pSrc[5];
-
-    /* negate imaginary input sample */
-    inI2 = __QSUB(0, inI2);
-
-    /* read real input sample */
-    inR4 = pSrc[6];
-    /* store real input sample */
-    pDst[6] = inR4;
-
-    /* negate imaginary input sample */
-    inI3 = __QSUB(0, inI3);
-
-    /* store imaginary input sample */
-    inI4 = pSrc[7];
-
-    /* store imaginary input samples */
-    pDst[1] = inI1;
-
-    /* negate imaginary input sample */
-    inI4 = __QSUB(0, inI4);
-
-    /* store imaginary input samples */
-    pDst[3] = inI2;
-
-    /* increment source pointer by 8 to proecess next samples */
-    pSrc += 8u;
-
-    /* store imaginary input samples */
-    pDst[5] = inI3;
-    pDst[7] = inI4;
-
-    /* increment destination pointer by 8 to process next samples */
-    pDst += 8u;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.        
-   ** No loop unrolling is used. */
-  blkCnt = numSamples % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  blkCnt = numSamples;
-
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  while(blkCnt > 0u)
-  {
-    /* C[0]+jC[1] = A[0]+ j (-1) A[1] */
-    /* Calculate Complex Conjugate and then store the results in the destination buffer. */
-    /* Saturated to 0x7fffffff if the input is -1(0x80000000) */
-    *pDst++ = *pSrc++;
-    in = *pSrc++;
-    *pDst++ = (in == 0x80000000) ? 0x7fffffff : -in;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-}
-
-/**        
- * @} end of cmplx_conj group        
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c
deleted file mode 100644
index 4f265d690..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c
+++ /dev/null
@@ -1,160 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_cmplx_dot_prod_f32.c    
-*    
-* Description:	Floating-point complex dot product    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupCmplxMath    
- */
-
-/**    
- * @defgroup cmplx_dot_prod Complex Dot Product    
- *    
- * Computes the dot product of two complex vectors.    
- * The vectors are multiplied element-by-element and then summed.    
- *   
- * The pSrcA points to the first complex input vector and    
- * pSrcB points to the second complex input vector.    
- * numSamples specifies the number of complex samples    
- * and the data in each array is stored in an interleaved fashion    
- * (real, imag, real, imag, ...).    
- * Each array has a total of 2*numSamples values.    
- *    
- * The underlying algorithm is used:    
- * 
    
- * realResult=0;    
- * imagResult=0;    
- * for(n=0; n    
- *    
- * There are separate functions for floating-point, Q15, and Q31 data types.    
- */
-
-/**    
- * @addtogroup cmplx_dot_prod    
- * @{    
- */
-
-/**    
- * @brief  Floating-point complex dot product    
- * @param  *pSrcA points to the first input vector    
- * @param  *pSrcB points to the second input vector    
- * @param  numSamples number of complex samples in each vector    
- * @param  *realResult real part of the result returned here    
- * @param  *imagResult imaginary part of the result returned here    
- * @return none.    
- */
-
-void arm_cmplx_dot_prod_f32(
-  float32_t * pSrcA,
-  float32_t * pSrcB,
-  uint32_t numSamples,
-  float32_t * realResult,
-  float32_t * imagResult)
-{
-  float32_t real_sum = 0.0f, imag_sum = 0.0f;    /* Temporary result storage */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  uint32_t blkCnt;                               /* loop counter */
-
-  /*loop Unrolling */
-  blkCnt = numSamples >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* CReal = A[0]* B[0] + A[2]* B[2] + A[4]* B[4] + .....+ A[numSamples-2]* B[numSamples-2] */
-    real_sum += (*pSrcA++) * (*pSrcB++);
-    /* CImag = A[1]* B[1] + A[3]* B[3] + A[5]* B[5] + .....+ A[numSamples-1]* B[numSamples-1] */
-    imag_sum += (*pSrcA++) * (*pSrcB++);
-
-    real_sum += (*pSrcA++) * (*pSrcB++);
-    imag_sum += (*pSrcA++) * (*pSrcB++);
-
-    real_sum += (*pSrcA++) * (*pSrcB++);
-    imag_sum += (*pSrcA++) * (*pSrcB++);
-
-    real_sum += (*pSrcA++) * (*pSrcB++);
-    imag_sum += (*pSrcA++) * (*pSrcB++);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = numSamples % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* CReal = A[0]* B[0] + A[2]* B[2] + A[4]* B[4] + .....+ A[numSamples-2]* B[numSamples-2] */
-    real_sum += (*pSrcA++) * (*pSrcB++);
-    /* CImag = A[1]* B[1] + A[3]* B[3] + A[5]* B[5] + .....+ A[numSamples-1]* B[numSamples-1] */
-    imag_sum += (*pSrcA++) * (*pSrcB++);
-
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  while(numSamples > 0u)
-  {
-    /* CReal = A[0]* B[0] + A[2]* B[2] + A[4]* B[4] + .....+ A[numSamples-2]* B[numSamples-2] */
-    real_sum += (*pSrcA++) * (*pSrcB++);
-    /* CImag = A[1]* B[1] + A[3]* B[3] + A[5]* B[5] + .....+ A[numSamples-1]* B[numSamples-1] */
-    imag_sum += (*pSrcA++) * (*pSrcB++);
-
-
-    /* Decrement the loop counter */
-    numSamples--;
-  }
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  /* Store the real and imaginary results in the destination buffers */
-  *realResult = real_sum;
-  *imagResult = imag_sum;
-}
-
-/**    
- * @} end of cmplx_dot_prod group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c
deleted file mode 100644
index 33df820a5..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c
+++ /dev/null
@@ -1,144 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_cmplx_dot_prod_q15.c    
-*    
-* Description:	Processing function for the Q15 Complex Dot product    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupCmplxMath    
- */
-
-/**    
- * @addtogroup cmplx_dot_prod    
- * @{    
- */
-
-/**    
- * @brief  Q15 complex dot product    
- * @param  *pSrcA points to the first input vector    
- * @param  *pSrcB points to the second input vector    
- * @param  numSamples number of complex samples in each vector    
- * @param  *realResult real part of the result returned here    
- * @param  *imagResult imaginary part of the result returned here    
- * @return none.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function is implemented using an internal 64-bit accumulator.    
- * The intermediate 1.15 by 1.15 multiplications are performed with full precision and yield a 2.30 result.    
- * These are accumulated in a 64-bit accumulator with 34.30 precision.    
- * As a final step, the accumulators are converted to 8.24 format.    
- * The return results realResult and imagResult are in 8.24 format.    
- */
-
-void arm_cmplx_dot_prod_q15(
-  q15_t * pSrcA,
-  q15_t * pSrcB,
-  uint32_t numSamples,
-  q31_t * realResult,
-  q31_t * imagResult)
-{
-  q63_t real_sum = 0, imag_sum = 0;              /* Temporary result storage */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  uint32_t blkCnt;                               /* loop counter */
-
-
-  /*loop Unrolling */
-  blkCnt = numSamples >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* CReal = A[0]* B[0] + A[2]* B[2] + A[4]* B[4] + .....+ A[numSamples-2]* B[numSamples-2] */
-    real_sum += ((q31_t) * pSrcA++ * *pSrcB++);
-
-    /* CImag = A[1]* B[1] + A[3]* B[3] + A[5]* B[5] + .....+ A[numSamples-1]* B[numSamples-1] */
-    imag_sum += ((q31_t) * pSrcA++ * *pSrcB++);
-
-    real_sum += ((q31_t) * pSrcA++ * *pSrcB++);
-    imag_sum += ((q31_t) * pSrcA++ * *pSrcB++);
-
-    real_sum += ((q31_t) * pSrcA++ * *pSrcB++);
-    imag_sum += ((q31_t) * pSrcA++ * *pSrcB++);
-
-    real_sum += ((q31_t) * pSrcA++ * *pSrcB++);
-    imag_sum += ((q31_t) * pSrcA++ * *pSrcB++);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = numSamples % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* CReal = A[0]* B[0] + A[2]* B[2] + A[4]* B[4] + .....+ A[numSamples-2]* B[numSamples-2] */
-    real_sum += ((q31_t) * pSrcA++ * *pSrcB++);
-    /* CImag = A[1]* B[1] + A[3]* B[3] + A[5]* B[5] + .....+ A[numSamples-1]* B[numSamples-1] */
-    imag_sum += ((q31_t) * pSrcA++ * *pSrcB++);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  while(numSamples > 0u)
-  {
-    /* CReal = A[0]* B[0] + A[2]* B[2] + A[4]* B[4] + .....+ A[numSamples-2]* B[numSamples-2] */
-    real_sum += ((q31_t) * pSrcA++ * *pSrcB++);
-    /* CImag = A[1]* B[1] + A[3]* B[3] + A[5]* B[5] + .....+ A[numSamples-1]* B[numSamples-1] */
-    imag_sum += ((q31_t) * pSrcA++ * *pSrcB++);
-
-    /* Decrement the loop counter */
-    numSamples--;
-  }
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  /* Store the real and imaginary results in 8.24 format  */
-  /* Convert real data in 34.30 to 8.24 by 6 right shifts */
-  *realResult = (q31_t) (real_sum) >> 6;
-  /* Convert imaginary data in 34.30 to 8.24 by 6 right shifts */
-  *imagResult = (q31_t) (imag_sum) >> 6;
-}
-
-/**    
- * @} end of cmplx_dot_prod group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c
deleted file mode 100644
index d371dff8b..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c
+++ /dev/null
@@ -1,145 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_cmplx_dot_prod_q31.c    
-*    
-* Description:	Q31 complex dot product    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupCmplxMath    
- */
-
-/**    
- * @addtogroup cmplx_dot_prod    
- * @{    
- */
-
-/**    
- * @brief  Q31 complex dot product    
- * @param  *pSrcA points to the first input vector    
- * @param  *pSrcB points to the second input vector    
- * @param  numSamples number of complex samples in each vector    
- * @param  *realResult real part of the result returned here    
- * @param  *imagResult imaginary part of the result returned here    
- * @return none.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function is implemented using an internal 64-bit accumulator.    
- * The intermediate 1.31 by 1.31 multiplications are performed with 64-bit precision and then shifted to 16.48 format.    
- * The internal real and imaginary accumulators are in 16.48 format and provide 15 guard bits.    
- * Additions are nonsaturating and no overflow will occur as long as numSamples is less than 32768.    
- * The return results realResult and imagResult are in 16.48 format.    
- * Input down scaling is not required.    
- */
-
-void arm_cmplx_dot_prod_q31(
-  q31_t * pSrcA,
-  q31_t * pSrcB,
-  uint32_t numSamples,
-  q63_t * realResult,
-  q63_t * imagResult)
-{
-  q63_t real_sum = 0, imag_sum = 0;              /* Temporary result storage */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  uint32_t blkCnt;                               /* loop counter */
-
-
-  /*loop Unrolling */
-  blkCnt = numSamples >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* CReal = A[0]* B[0] + A[2]* B[2] + A[4]* B[4] + .....+ A[numSamples-2]* B[numSamples-2] */
-    /* Convert real data in 2.62 to 16.48 by 14 right shifts */
-    real_sum += (q63_t) * pSrcA++ * (*pSrcB++) >> 14;
-    /* CImag = A[1]* B[1] + A[3]* B[3] + A[5]* B[5] + .....+ A[numSamples-1]* B[numSamples-1] */
-    /* Convert imag data in 2.62 to 16.48 by 14 right shifts */
-    imag_sum += (q63_t) * pSrcA++ * (*pSrcB++) >> 14;
-
-    real_sum += (q63_t) * pSrcA++ * (*pSrcB++) >> 14;
-    imag_sum += (q63_t) * pSrcA++ * (*pSrcB++) >> 14;
-
-    real_sum += (q63_t) * pSrcA++ * (*pSrcB++) >> 14;
-    imag_sum += (q63_t) * pSrcA++ * (*pSrcB++) >> 14;
-
-    real_sum += (q63_t) * pSrcA++ * (*pSrcB++) >> 14;
-    imag_sum += (q63_t) * pSrcA++ * (*pSrcB++) >> 14;
-
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the numSamples  is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = numSamples % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* CReal = A[0]* B[0] + A[2]* B[2] + A[4]* B[4] + .....+ A[numSamples-2]* B[numSamples-2] */
-    real_sum += (q63_t) * pSrcA++ * (*pSrcB++) >> 14;
-    /* CImag = A[1]* B[1] + A[3]* B[3] + A[5]* B[5] + .....+ A[numSamples-1]* B[numSamples-1] */
-    imag_sum += (q63_t) * pSrcA++ * (*pSrcB++) >> 14;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  while(numSamples > 0u)
-  {
-    /* outReal = realA[0]* realB[0] + realA[2]* realB[2] + realA[4]* realB[4] + .....+ realA[numSamples-2]* realB[numSamples-2] */
-    real_sum += (q63_t) * pSrcA++ * (*pSrcB++) >> 14;
-    /* outImag = imagA[1]* imagB[1] + imagA[3]* imagB[3] + imagA[5]* imagB[5] + .....+ imagA[numSamples-1]* imagB[numSamples-1] */
-    imag_sum += (q63_t) * pSrcA++ * (*pSrcB++) >> 14;
-
-    /* Decrement the loop counter */
-    numSamples--;
-  }
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  /* Store the real and imaginary results in 16.48 format  */
-  *realResult = real_sum;
-  *imagResult = imag_sum;
-}
-
-/**    
- * @} end of cmplx_dot_prod group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_f32.c
deleted file mode 100644
index 59bbc2742..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_f32.c
+++ /dev/null
@@ -1,157 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_cmplx_mag_f32.c    
-*    
-* Description:	Floating-point complex magnitude.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupCmplxMath    
- */
-
-/**    
- * @defgroup cmplx_mag Complex Magnitude    
- *    
- * Computes the magnitude of the elements of a complex data vector.    
- *   
- * The pSrc points to the source data and    
- * pDst points to the where the result should be written.    
- * numSamples specifies the number of complex samples    
- * in the input array and the data is stored in an interleaved fashion    
- * (real, imag, real, imag, ...).    
- * The input array has a total of 2*numSamples values;    
- * the output array has a total of numSamples values.    
- * The underlying algorithm is used:    
- *    
- * 
    
- * for(n=0; n    
- *    
- * There are separate functions for floating-point, Q15, and Q31 data types.    
- */
-
-/**    
- * @addtogroup cmplx_mag    
- * @{    
- */
-/**    
- * @brief Floating-point complex magnitude.    
- * @param[in]       *pSrc points to complex input buffer    
- * @param[out]      *pDst points to real output buffer    
- * @param[in]       numSamples number of complex samples in the input vector    
- * @return none.    
- *    
- */
-
-
-void arm_cmplx_mag_f32(
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t numSamples)
-{
-  float32_t realIn, imagIn;                      /* Temporary variables to hold input values */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  uint32_t blkCnt;                               /* loop counter */
-
-  /*loop Unrolling */
-  blkCnt = numSamples >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-
-    /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
-    realIn = *pSrc++;
-    imagIn = *pSrc++;
-    /* store the result in the destination buffer. */
-    arm_sqrt_f32((realIn * realIn) + (imagIn * imagIn), pDst++);
-
-    realIn = *pSrc++;
-    imagIn = *pSrc++;
-    arm_sqrt_f32((realIn * realIn) + (imagIn * imagIn), pDst++);
-
-    realIn = *pSrc++;
-    imagIn = *pSrc++;
-    arm_sqrt_f32((realIn * realIn) + (imagIn * imagIn), pDst++);
-
-    realIn = *pSrc++;
-    imagIn = *pSrc++;
-    arm_sqrt_f32((realIn * realIn) + (imagIn * imagIn), pDst++);
-
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = numSamples % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
-    realIn = *pSrc++;
-    imagIn = *pSrc++;
-    /* store the result in the destination buffer. */
-    arm_sqrt_f32((realIn * realIn) + (imagIn * imagIn), pDst++);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  while(numSamples > 0u)
-  {
-    /* out = sqrt((real * real) + (imag * imag)) */
-    realIn = *pSrc++;
-    imagIn = *pSrc++;
-    /* store the result in the destination buffer. */
-    arm_sqrt_f32((realIn * realIn) + (imagIn * imagIn), pDst++);
-
-    /* Decrement the loop counter */
-    numSamples--;
-  }
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-}
-
-/**    
- * @} end of cmplx_mag group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_q15.c
deleted file mode 100644
index 122ca8bc1..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_q15.c
+++ /dev/null
@@ -1,145 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_cmplx_mag_q15.c    
-*    
-* Description:	Q15 complex magnitude.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupCmplxMath    
- */
-
-/**    
- * @addtogroup cmplx_mag    
- * @{    
- */
-
-
-/**    
- * @brief  Q15 complex magnitude    
- * @param  *pSrc points to the complex input vector    
- * @param  *pDst points to the real output vector    
- * @param  numSamples number of complex samples in the input vector    
- * @return none.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function implements 1.15 by 1.15 multiplications and finally output is converted into 2.14 format.    
- */
-
-void arm_cmplx_mag_q15(
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t numSamples)
-{
-  q31_t acc0, acc1;                              /* Accumulators */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  uint32_t blkCnt;                               /* loop counter */
-  q31_t in1, in2, in3, in4;
-  q31_t acc2, acc3;
-
-
-  /*loop Unrolling */
-  blkCnt = numSamples >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-
-    /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
-    in1 = *__SIMD32(pSrc)++;
-    in2 = *__SIMD32(pSrc)++;
-    in3 = *__SIMD32(pSrc)++;
-    in4 = *__SIMD32(pSrc)++;
-
-    acc0 = __SMUAD(in1, in1);
-    acc1 = __SMUAD(in2, in2);
-    acc2 = __SMUAD(in3, in3);
-    acc3 = __SMUAD(in4, in4);
-
-    /* store the result in 2.14 format in the destination buffer. */
-    arm_sqrt_q15((q15_t) ((acc0) >> 17), pDst++);
-    arm_sqrt_q15((q15_t) ((acc1) >> 17), pDst++);
-    arm_sqrt_q15((q15_t) ((acc2) >> 17), pDst++);
-    arm_sqrt_q15((q15_t) ((acc3) >> 17), pDst++);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = numSamples % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
-    in1 = *__SIMD32(pSrc)++;
-    acc0 = __SMUAD(in1, in1);
-
-    /* store the result in 2.14 format in the destination buffer. */
-    arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  q15_t real, imag;                              /* Temporary variables to hold input values */
-
-  while(numSamples > 0u)
-  {
-    /* out = sqrt(real * real + imag * imag) */
-    real = *pSrc++;
-    imag = *pSrc++;
-
-    acc0 = (real * real);
-    acc1 = (imag * imag);
-
-    /* store the result in 2.14 format in the destination buffer. */
-    arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++);
-
-    /* Decrement the loop counter */
-    numSamples--;
-  }
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-}
-
-/**    
- * @} end of cmplx_mag group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_q31.c
deleted file mode 100644
index 59384f5dc..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_q31.c
+++ /dev/null
@@ -1,177 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_cmplx_mag_q31.c    
-*    
-* Description:	Q31 complex magnitude    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**        
- * @ingroup groupCmplxMath        
- */
-
-/**        
- * @addtogroup cmplx_mag        
- * @{        
- */
-
-/**        
- * @brief  Q31 complex magnitude        
- * @param  *pSrc points to the complex input vector        
- * @param  *pDst points to the real output vector        
- * @param  numSamples number of complex samples in the input vector        
- * @return none.        
- *        
- * Scaling and Overflow Behavior:        
- * \par        
- * The function implements 1.31 by 1.31 multiplications and finally output is converted into 2.30 format.        
- * Input down scaling is not required.        
- */
-
-void arm_cmplx_mag_q31(
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t numSamples)
-{
-  q31_t real, imag;                              /* Temporary variables to hold input values */
-  q31_t acc0, acc1;                              /* Accumulators */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  q31_t real1, real2, imag1, imag2;              /* Temporary variables to hold input values */
-  q31_t out1, out2, out3, out4;                  /* Accumulators */
-  q63_t mul1, mul2, mul3, mul4;                  /* Temporary variables */
-
-
-  /*loop Unrolling */
-  blkCnt = numSamples >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.        
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* read complex input from source buffer */
-    real1 = pSrc[0];
-    imag1 = pSrc[1];
-    real2 = pSrc[2];
-    imag2 = pSrc[3];
-
-    /* calculate power of input values */
-    mul1 = (q63_t) real1 *real1;
-    mul2 = (q63_t) imag1 *imag1;
-    mul3 = (q63_t) real2 *real2;
-    mul4 = (q63_t) imag2 *imag2;
-
-    /* get the result to 3.29 format */
-    out1 = (q31_t) (mul1 >> 33);
-    out2 = (q31_t) (mul2 >> 33);
-    out3 = (q31_t) (mul3 >> 33);
-    out4 = (q31_t) (mul4 >> 33);
-
-    /* add real and imaginary accumulators */
-    out1 = out1 + out2;
-    out3 = out3 + out4;
-
-    /* read complex input from source buffer */
-    real1 = pSrc[4];
-    imag1 = pSrc[5];
-    real2 = pSrc[6];
-    imag2 = pSrc[7];
-
-    /* calculate square root */
-    arm_sqrt_q31(out1, &pDst[0]);
-
-    /* calculate power of input values */
-    mul1 = (q63_t) real1 *real1;
-
-    /* calculate square root */
-    arm_sqrt_q31(out3, &pDst[1]);
-
-    /* calculate power of input values */
-    mul2 = (q63_t) imag1 *imag1;
-    mul3 = (q63_t) real2 *real2;
-    mul4 = (q63_t) imag2 *imag2;
-
-    /* get the result to 3.29 format */
-    out1 = (q31_t) (mul1 >> 33);
-    out2 = (q31_t) (mul2 >> 33);
-    out3 = (q31_t) (mul3 >> 33);
-    out4 = (q31_t) (mul4 >> 33);
-
-    /* add real and imaginary accumulators */
-    out1 = out1 + out2;
-    out3 = out3 + out4;
-
-    /* calculate square root */
-    arm_sqrt_q31(out1, &pDst[2]);
-
-    /* increment destination by 8 to process next samples */
-    pSrc += 8u;
-
-    /* calculate square root */
-    arm_sqrt_q31(out3, &pDst[3]);
-
-    /* increment destination by 4 to process next samples */
-    pDst += 4u;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.        
-   ** No loop unrolling is used. */
-  blkCnt = numSamples % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  blkCnt = numSamples;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  while(blkCnt > 0u)
-  {
-    /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
-    real = *pSrc++;
-    imag = *pSrc++;
-    acc0 = (q31_t) (((q63_t) real * real) >> 33);
-    acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
-    /* store the result in 2.30 format in the destination buffer. */
-    arm_sqrt_q31(acc0 + acc1, pDst++);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-}
-
-/**        
- * @} end of cmplx_mag group        
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c
deleted file mode 100644
index 7350fd1c9..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c
+++ /dev/null
@@ -1,207 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_cmplx_mag_squared_f32.c    
-*    
-* Description:	Floating-point complex magnitude squared.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* ---------------------------------------------------------------------------- */
-#include "arm_math.h"
-
-/**        
- * @ingroup groupCmplxMath        
- */
-
-/**        
- * @defgroup cmplx_mag_squared Complex Magnitude Squared        
- *        
- * Computes the magnitude squared of the elements of a complex data vector.        
- *       
- * The pSrc points to the source data and        
- * pDst points to the where the result should be written.        
- * numSamples specifies the number of complex samples        
- * in the input array and the data is stored in an interleaved fashion        
- * (real, imag, real, imag, ...).        
- * The input array has a total of 2*numSamples values;        
- * the output array has a total of numSamples values.        
- *        
- * The underlying algorithm is used:        
- *        
- * 
        
- * for(n=0; n        
- *        
- * There are separate functions for floating-point, Q15, and Q31 data types.        
- */
-
-/**        
- * @addtogroup cmplx_mag_squared        
- * @{        
- */
-
-
-/**        
- * @brief  Floating-point complex magnitude squared        
- * @param[in]  *pSrc points to the complex input vector        
- * @param[out]  *pDst points to the real output vector        
- * @param[in]  numSamples number of complex samples in the input vector        
- * @return none.        
- */
-
-void arm_cmplx_mag_squared_f32(
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t numSamples)
-{
-  float32_t real, imag;                          /* Temporary variables to store real and imaginary values */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0
-  float32_t real1, real2, real3, real4;          /* Temporary variables to hold real values */
-  float32_t imag1, imag2, imag3, imag4;          /* Temporary variables to hold imaginary values */
-  float32_t mul1, mul2, mul3, mul4;              /* Temporary variables */
-  float32_t mul5, mul6, mul7, mul8;              /* Temporary variables */
-  float32_t out1, out2, out3, out4;              /* Temporary variables to hold output values */
-
-  /*loop Unrolling */
-  blkCnt = numSamples >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.        
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
-    /* read real input sample from source buffer */
-    real1 = pSrc[0];
-    /* read imaginary input sample from source buffer */
-    imag1 = pSrc[1];
-
-    /* calculate power of real value */
-    mul1 = real1 * real1;
-
-    /* read real input sample from source buffer */
-    real2 = pSrc[2];
-
-    /* calculate power of imaginary value */
-    mul2 = imag1 * imag1;
-
-    /* read imaginary input sample from source buffer */
-    imag2 = pSrc[3];
-
-    /* calculate power of real value */
-    mul3 = real2 * real2;
-
-    /* read real input sample from source buffer */
-    real3 = pSrc[4];
-
-    /* calculate power of imaginary value */
-    mul4 = imag2 * imag2;
-
-    /* read imaginary input sample from source buffer */
-    imag3 = pSrc[5];
-
-    /* calculate power of real value */
-    mul5 = real3 * real3;
-    /* calculate power of imaginary value */
-    mul6 = imag3 * imag3;
-
-    /* read real input sample from source buffer */
-    real4 = pSrc[6];
-
-    /* accumulate real and imaginary powers */
-    out1 = mul1 + mul2;
-
-    /* read imaginary input sample from source buffer */
-    imag4 = pSrc[7];
-
-    /* accumulate real and imaginary powers */
-    out2 = mul3 + mul4;
-
-    /* calculate power of real value */
-    mul7 = real4 * real4;
-    /* calculate power of imaginary value */
-    mul8 = imag4 * imag4;
-
-    /* store output to destination */
-    pDst[0] = out1;
-
-    /* accumulate real and imaginary powers */
-    out3 = mul5 + mul6;
-
-    /* store output to destination */
-    pDst[1] = out2;
-
-    /* accumulate real and imaginary powers */
-    out4 = mul7 + mul8;
-
-    /* store output to destination */
-    pDst[2] = out3;
-
-    /* increment destination pointer by 8 to process next samples */
-    pSrc += 8u;
-
-    /* store output to destination */
-    pDst[3] = out4;
-
-    /* increment destination pointer by 4 to process next samples */
-    pDst += 4u;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.        
-   ** No loop unrolling is used. */
-  blkCnt = numSamples % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  blkCnt = numSamples;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  while(blkCnt > 0u)
-  {
-    /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
-    real = *pSrc++;
-    imag = *pSrc++;
-
-    /* out = (real * real) + (imag * imag) */
-    /* store the result in the destination buffer. */
-    *pDst++ = (real * real) + (imag * imag);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-}
-
-/**        
- * @} end of cmplx_mag_squared group        
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c
deleted file mode 100644
index 623229b8f..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c
+++ /dev/null
@@ -1,140 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_cmplx_mag_squared_q15.c    
-*    
-* Description:	Q15 complex magnitude squared.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupCmplxMath    
- */
-
-/**    
- * @addtogroup cmplx_mag_squared    
- * @{    
- */
-
-/**    
- * @brief  Q15 complex magnitude squared    
- * @param  *pSrc points to the complex input vector    
- * @param  *pDst points to the real output vector    
- * @param  numSamples number of complex samples in the input vector    
- * @return none.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function implements 1.15 by 1.15 multiplications and finally output is converted into 3.13 format.    
- */
-
-void arm_cmplx_mag_squared_q15(
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t numSamples)
-{
-  q31_t acc0, acc1;                              /* Accumulators */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  uint32_t blkCnt;                               /* loop counter */
-  q31_t in1, in2, in3, in4;
-  q31_t acc2, acc3;
-
-  /*loop Unrolling */
-  blkCnt = numSamples >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
-    in1 = *__SIMD32(pSrc)++;
-    in2 = *__SIMD32(pSrc)++;
-    in3 = *__SIMD32(pSrc)++;
-    in4 = *__SIMD32(pSrc)++;
-
-    acc0 = __SMUAD(in1, in1);
-    acc1 = __SMUAD(in2, in2);
-    acc2 = __SMUAD(in3, in3);
-    acc3 = __SMUAD(in4, in4);
-
-    /* store the result in 3.13 format in the destination buffer. */
-    *pDst++ = (q15_t) (acc0 >> 17);
-    *pDst++ = (q15_t) (acc1 >> 17);
-    *pDst++ = (q15_t) (acc2 >> 17);
-    *pDst++ = (q15_t) (acc3 >> 17);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = numSamples % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
-    in1 = *__SIMD32(pSrc)++;
-    acc0 = __SMUAD(in1, in1);
-
-    /* store the result in 3.13 format in the destination buffer. */
-    *pDst++ = (q15_t) (acc0 >> 17);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  q15_t real, imag;                              /* Temporary variables to store real and imaginary values */
-
-  while(numSamples > 0u)
-  {
-    /* out = ((real * real) + (imag * imag)) */
-    real = *pSrc++;
-    imag = *pSrc++;
-    acc0 = (real * real);
-    acc1 = (imag * imag);
-    /* store the result in 3.13 format in the destination buffer. */
-    *pDst++ = (q15_t) (((q63_t) acc0 + acc1) >> 17);
-
-    /* Decrement the loop counter */
-    numSamples--;
-  }
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-}
-
-/**    
- * @} end of cmplx_mag_squared group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c
deleted file mode 100644
index d45ccfab2..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c
+++ /dev/null
@@ -1,153 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_cmplx_mag_squared_q31.c    
-*    
-* Description:	Q31 complex magnitude squared.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupCmplxMath    
- */
-
-/**    
- * @addtogroup cmplx_mag_squared    
- * @{    
- */
-
-
-/**    
- * @brief  Q31 complex magnitude squared    
- * @param  *pSrc points to the complex input vector    
- * @param  *pDst points to the real output vector    
- * @param  numSamples number of complex samples in the input vector    
- * @return none.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function implements 1.31 by 1.31 multiplications and finally output is converted into 3.29 format.    
- * Input down scaling is not required.    
- */
-
-void arm_cmplx_mag_squared_q31(
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t numSamples)
-{
-  q31_t real, imag;                              /* Temporary variables to store real and imaginary values */
-  q31_t acc0, acc1;                              /* Accumulators */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  uint32_t blkCnt;                               /* loop counter */
-
-  /* loop Unrolling */
-  blkCnt = numSamples >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
-    real = *pSrc++;
-    imag = *pSrc++;
-    acc0 = (q31_t) (((q63_t) real * real) >> 33);
-    acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
-    /* store the result in 3.29 format in the destination buffer. */
-    *pDst++ = acc0 + acc1;
-
-    real = *pSrc++;
-    imag = *pSrc++;
-    acc0 = (q31_t) (((q63_t) real * real) >> 33);
-    acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
-    /* store the result in 3.29 format in the destination buffer. */
-    *pDst++ = acc0 + acc1;
-
-    real = *pSrc++;
-    imag = *pSrc++;
-    acc0 = (q31_t) (((q63_t) real * real) >> 33);
-    acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
-    /* store the result in 3.29 format in the destination buffer. */
-    *pDst++ = acc0 + acc1;
-
-    real = *pSrc++;
-    imag = *pSrc++;
-    acc0 = (q31_t) (((q63_t) real * real) >> 33);
-    acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
-    /* store the result in 3.29 format in the destination buffer. */
-    *pDst++ = acc0 + acc1;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = numSamples % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
-    real = *pSrc++;
-    imag = *pSrc++;
-    acc0 = (q31_t) (((q63_t) real * real) >> 33);
-    acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
-    /* store the result in 3.29 format in the destination buffer. */
-    *pDst++ = acc0 + acc1;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  while(numSamples > 0u)
-  {
-    /* out = ((real * real) + (imag * imag)) */
-    real = *pSrc++;
-    imag = *pSrc++;
-    acc0 = (q31_t) (((q63_t) real * real) >> 33);
-    acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
-    /* store the result in 3.29 format in the destination buffer. */
-    *pDst++ = acc0 + acc1;
-
-    /* Decrement the loop counter */
-    numSamples--;
-  }
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-}
-
-/**    
- * @} end of cmplx_mag_squared group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c
deleted file mode 100644
index 2ec9ee862..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c
+++ /dev/null
@@ -1,199 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_cmplx_mult_cmplx_f32.c    
-*    
-* Description:	Floating-point complex-by-complex multiplication    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-#include "arm_math.h"
-
-/**        
- * @ingroup groupCmplxMath        
- */
-
-/**        
- * @defgroup CmplxByCmplxMult Complex-by-Complex Multiplication        
- *        
- * Multiplies a complex vector by another complex vector and generates a complex result.        
- * The data in the complex arrays is stored in an interleaved fashion        
- * (real, imag, real, imag, ...).        
- * The parameter numSamples represents the number of complex        
- * samples processed.  The complex arrays have a total of 2*numSamples        
- * real values.        
- *        
- * The underlying algorithm is used:        
- *        
- * 
        
- * for(n=0; n        
- *        
- * There are separate functions for floating-point, Q15, and Q31 data types.        
- */
-
-/**        
- * @addtogroup CmplxByCmplxMult        
- * @{        
- */
-
-
-/**        
- * @brief  Floating-point complex-by-complex multiplication        
- * @param[in]  *pSrcA points to the first input vector        
- * @param[in]  *pSrcB points to the second input vector        
- * @param[out]  *pDst  points to the output vector        
- * @param[in]  numSamples number of complex samples in each vector        
- * @return none.        
- */
-
-void arm_cmplx_mult_cmplx_f32(
-  float32_t * pSrcA,
-  float32_t * pSrcB,
-  float32_t * pDst,
-  uint32_t numSamples)
-{
-  float32_t a1, b1, c1, d1;                      /* Temporary variables to store real and imaginary values */
-  uint32_t blkCnt;                               /* loop counters */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  float32_t a2, b2, c2, d2;                      /* Temporary variables to store real and imaginary values */
-  float32_t acc1, acc2, acc3, acc4;
-
-
-  /* loop Unrolling */
-  blkCnt = numSamples >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.        
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1].  */
-    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i].  */
-    a1 = *pSrcA;                /* A[2 * i] */
-    c1 = *pSrcB;                /* B[2 * i] */
-
-    b1 = *(pSrcA + 1);          /* A[2 * i + 1] */
-    acc1 = a1 * c1;             /* acc1 = A[2 * i] * B[2 * i] */
-
-    a2 = *(pSrcA + 2);          /* A[2 * i + 2] */
-    acc2 = (b1 * c1);           /* acc2 = A[2 * i + 1] * B[2 * i] */
-
-    d1 = *(pSrcB + 1);          /* B[2 * i + 1] */
-    c2 = *(pSrcB + 2);          /* B[2 * i + 2] */
-    acc1 -= b1 * d1;            /* acc1 =      A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1] */
-
-    d2 = *(pSrcB + 3);          /* B[2 * i + 3] */
-    acc3 = a2 * c2;             /* acc3 =       A[2 * i + 2] * B[2 * i + 2] */
-
-    b2 = *(pSrcA + 3);          /* A[2 * i + 3] */
-    acc2 += (a1 * d1);          /* acc2 =      A[2 * i + 1] * B[2 * i] + A[2 * i] * B[2 * i + 1] */
-
-    a1 = *(pSrcA + 4);          /* A[2 * i + 4] */
-    acc4 = (a2 * d2);           /* acc4 =   A[2 * i + 2] * B[2 * i + 3] */
-
-    c1 = *(pSrcB + 4);          /* B[2 * i + 4] */
-    acc3 -= (b2 * d2);          /* acc3 =       A[2 * i + 2] * B[2 * i + 2] - A[2 * i + 3] * B[2 * i + 3] */
-    *pDst = acc1;               /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1] */
-
-    b1 = *(pSrcA + 5);          /* A[2 * i + 5] */
-    acc4 += b2 * c2;            /* acc4 =   A[2 * i + 2] * B[2 * i + 3] + A[2 * i + 3] * B[2 * i + 2] */
-
-    *(pDst + 1) = acc2;         /* C[2 * i + 1] = A[2 * i + 1] * B[2 * i] + A[2 * i] * B[2 * i + 1]  */
-    acc1 = (a1 * c1);
-
-    d1 = *(pSrcB + 5);
-    acc2 = (b1 * c1);
-
-    *(pDst + 2) = acc3;
-    *(pDst + 3) = acc4;
-
-    a2 = *(pSrcA + 6);
-    acc1 -= (b1 * d1);
-
-    c2 = *(pSrcB + 6);
-    acc2 += (a1 * d1);
-
-    b2 = *(pSrcA + 7);
-    acc3 = (a2 * c2);
-
-    d2 = *(pSrcB + 7);
-    acc4 = (b2 * c2);
-
-    *(pDst + 4) = acc1;
-    pSrcA += 8u;
-
-    acc3 -= (b2 * d2);
-    acc4 += (a2 * d2);
-
-    *(pDst + 5) = acc2;
-    pSrcB += 8u;
-
-    *(pDst + 6) = acc3;
-    *(pDst + 7) = acc4;
-
-    pDst += 8u;
-
-    /* Decrement the numSamples loop counter */
-    blkCnt--;
-  }
-
-  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.        
-   ** No loop unrolling is used. */
-  blkCnt = numSamples % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  blkCnt = numSamples;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  while(blkCnt > 0u)
-  {
-    /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1].  */
-    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i].  */
-    a1 = *pSrcA++;
-    b1 = *pSrcA++;
-    c1 = *pSrcB++;
-    d1 = *pSrcB++;
-
-    /* store the result in the destination buffer. */
-    *pDst++ = (a1 * c1) - (b1 * d1);
-    *pDst++ = (a1 * d1) + (b1 * c1);
-
-    /* Decrement the numSamples loop counter */
-    blkCnt--;
-  }
-}
-
-/**        
- * @} end of CmplxByCmplxMult group        
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c
deleted file mode 100644
index 0219aea48..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c
+++ /dev/null
@@ -1,185 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_cmplx_mult_cmplx_q15.c    
-*    
-* Description:	Q15 complex-by-complex multiplication    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupCmplxMath    
- */
-
-/**    
- * @addtogroup CmplxByCmplxMult    
- * @{    
- */
-
-/**    
- * @brief  Q15 complex-by-complex multiplication    
- * @param[in]  *pSrcA points to the first input vector    
- * @param[in]  *pSrcB points to the second input vector    
- * @param[out]  *pDst  points to the output vector    
- * @param[in]  numSamples number of complex samples in each vector    
- * @return none.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function implements 1.15 by 1.15 multiplications and finally output is converted into 3.13 format.    
- */
-
-void arm_cmplx_mult_cmplx_q15(
-  q15_t * pSrcA,
-  q15_t * pSrcB,
-  q15_t * pDst,
-  uint32_t numSamples)
-{
-  q15_t a, b, c, d;                              /* Temporary variables to store real and imaginary values */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  uint32_t blkCnt;                               /* loop counters */
-
-  /* loop Unrolling */
-  blkCnt = numSamples >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1].  */
-    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i].  */
-    a = *pSrcA++;
-    b = *pSrcA++;
-    c = *pSrcB++;
-    d = *pSrcB++;
-
-    /* store the result in 3.13 format in the destination buffer. */
-    *pDst++ =
-      (q15_t) (q31_t) (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17);
-    /* store the result in 3.13 format in the destination buffer. */
-    *pDst++ =
-      (q15_t) (q31_t) (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17);
-
-    a = *pSrcA++;
-    b = *pSrcA++;
-    c = *pSrcB++;
-    d = *pSrcB++;
-
-    /* store the result in 3.13 format in the destination buffer. */
-    *pDst++ =
-      (q15_t) (q31_t) (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17);
-    /* store the result in 3.13 format in the destination buffer. */
-    *pDst++ =
-      (q15_t) (q31_t) (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17);
-
-    a = *pSrcA++;
-    b = *pSrcA++;
-    c = *pSrcB++;
-    d = *pSrcB++;
-
-    /* store the result in 3.13 format in the destination buffer. */
-    *pDst++ =
-      (q15_t) (q31_t) (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17);
-    /* store the result in 3.13 format in the destination buffer. */
-    *pDst++ =
-      (q15_t) (q31_t) (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17);
-
-    a = *pSrcA++;
-    b = *pSrcA++;
-    c = *pSrcB++;
-    d = *pSrcB++;
-
-    /* store the result in 3.13 format in the destination buffer. */
-    *pDst++ =
-      (q15_t) (q31_t) (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17);
-    /* store the result in 3.13 format in the destination buffer. */
-    *pDst++ =
-      (q15_t) (q31_t) (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17);
-
-    /* Decrement the blockSize loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = numSamples % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1].  */
-    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i].  */
-    a = *pSrcA++;
-    b = *pSrcA++;
-    c = *pSrcB++;
-    d = *pSrcB++;
-
-    /* store the result in 3.13 format in the destination buffer. */
-    *pDst++ =
-      (q15_t) (q31_t) (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17);
-    /* store the result in 3.13 format in the destination buffer. */
-    *pDst++ =
-      (q15_t) (q31_t) (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17);
-
-    /* Decrement the blockSize loop counter */
-    blkCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  while(numSamples > 0u)
-  {
-    /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1].  */
-    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i].  */
-    a = *pSrcA++;
-    b = *pSrcA++;
-    c = *pSrcB++;
-    d = *pSrcB++;
-
-    /* store the result in 3.13 format in the destination buffer. */
-    *pDst++ =
-      (q15_t) (q31_t) (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17);
-    /* store the result in 3.13 format in the destination buffer. */
-    *pDst++ =
-      (q15_t) (q31_t) (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17);
-
-    /* Decrement the blockSize loop counter */
-    numSamples--;
-  }
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-}
-
-/**    
- * @} end of CmplxByCmplxMult group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c
deleted file mode 100644
index 13fc060a2..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c
+++ /dev/null
@@ -1,318 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_cmplx_mult_cmplx_q31.c    
-*    
-* Description:	Q31 complex-by-complex multiplication    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupCmplxMath    
- */
-
-/**    
- * @addtogroup CmplxByCmplxMult    
- * @{    
- */
-
-
-/**    
- * @brief  Q31 complex-by-complex multiplication    
- * @param[in]  *pSrcA points to the first input vector    
- * @param[in]  *pSrcB points to the second input vector    
- * @param[out]  *pDst  points to the output vector    
- * @param[in]  numSamples number of complex samples in each vector    
- * @return none.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function implements 1.31 by 1.31 multiplications and finally output is converted into 3.29 format.    
- * Input down scaling is not required.    
- */
-
-void arm_cmplx_mult_cmplx_q31(
-  q31_t * pSrcA,
-  q31_t * pSrcB,
-  q31_t * pDst,
-  uint32_t numSamples)
-{
-  q31_t a, b, c, d;                              /* Temporary variables to store real and imaginary values */
-  uint32_t blkCnt;                               /* loop counters */
-  q31_t mul1, mul2, mul3, mul4;
-  q31_t out1, out2;
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /* loop Unrolling */
-  blkCnt = numSamples >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1].  */
-    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i].  */
-    a = *pSrcA++;
-    b = *pSrcA++;
-    c = *pSrcB++;
-    d = *pSrcB++;
-
-    mul1 = (q31_t) (((q63_t) a * c) >> 32);
-    mul2 = (q31_t) (((q63_t) b * d) >> 32);
-    mul3 = (q31_t) (((q63_t) a * d) >> 32);
-    mul4 = (q31_t) (((q63_t) b * c) >> 32);
-
-    mul1 = (mul1 >> 1);
-    mul2 = (mul2 >> 1);
-    mul3 = (mul3 >> 1);
-    mul4 = (mul4 >> 1);
-
-    out1 = mul1 - mul2;
-    out2 = mul3 + mul4;
-
-    /* store the real result in 3.29 format in the destination buffer. */
-    *pDst++ = out1;
-    /* store the imag result in 3.29 format in the destination buffer. */
-    *pDst++ = out2;
-
-    a = *pSrcA++;
-    b = *pSrcA++;
-    c = *pSrcB++;
-    d = *pSrcB++;
-
-    mul1 = (q31_t) (((q63_t) a * c) >> 32);
-    mul2 = (q31_t) (((q63_t) b * d) >> 32);
-    mul3 = (q31_t) (((q63_t) a * d) >> 32);
-    mul4 = (q31_t) (((q63_t) b * c) >> 32);
-
-    mul1 = (mul1 >> 1);
-    mul2 = (mul2 >> 1);
-    mul3 = (mul3 >> 1);
-    mul4 = (mul4 >> 1);
-
-    out1 = mul1 - mul2;
-    out2 = mul3 + mul4;
-
-    /* store the real result in 3.29 format in the destination buffer. */
-    *pDst++ = out1;
-    /* store the imag result in 3.29 format in the destination buffer. */
-    *pDst++ = out2;
-
-    a = *pSrcA++;
-    b = *pSrcA++;
-    c = *pSrcB++;
-    d = *pSrcB++;
-
-    mul1 = (q31_t) (((q63_t) a * c) >> 32);
-    mul2 = (q31_t) (((q63_t) b * d) >> 32);
-    mul3 = (q31_t) (((q63_t) a * d) >> 32);
-    mul4 = (q31_t) (((q63_t) b * c) >> 32);
-
-    mul1 = (mul1 >> 1);
-    mul2 = (mul2 >> 1);
-    mul3 = (mul3 >> 1);
-    mul4 = (mul4 >> 1);
-
-    out1 = mul1 - mul2;
-    out2 = mul3 + mul4;
-
-    /* store the real result in 3.29 format in the destination buffer. */
-    *pDst++ = out1;
-    /* store the imag result in 3.29 format in the destination buffer. */
-    *pDst++ = out2;
-
-    a = *pSrcA++;
-    b = *pSrcA++;
-    c = *pSrcB++;
-    d = *pSrcB++;
-
-    mul1 = (q31_t) (((q63_t) a * c) >> 32);
-    mul2 = (q31_t) (((q63_t) b * d) >> 32);
-    mul3 = (q31_t) (((q63_t) a * d) >> 32);
-    mul4 = (q31_t) (((q63_t) b * c) >> 32);
-
-    mul1 = (mul1 >> 1);
-    mul2 = (mul2 >> 1);
-    mul3 = (mul3 >> 1);
-    mul4 = (mul4 >> 1);
-
-    out1 = mul1 - mul2;
-    out2 = mul3 + mul4;
-
-    /* store the real result in 3.29 format in the destination buffer. */
-    *pDst++ = out1;
-    /* store the imag result in 3.29 format in the destination buffer. */
-    *pDst++ = out2;
-
-    /* Decrement the blockSize loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = numSamples % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1].  */
-    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i].  */
-    a = *pSrcA++;
-    b = *pSrcA++;
-    c = *pSrcB++;
-    d = *pSrcB++;
-
-    mul1 = (q31_t) (((q63_t) a * c) >> 32);
-    mul2 = (q31_t) (((q63_t) b * d) >> 32);
-    mul3 = (q31_t) (((q63_t) a * d) >> 32);
-    mul4 = (q31_t) (((q63_t) b * c) >> 32);
-
-    mul1 = (mul1 >> 1);
-    mul2 = (mul2 >> 1);
-    mul3 = (mul3 >> 1);
-    mul4 = (mul4 >> 1);
-
-    out1 = mul1 - mul2;
-    out2 = mul3 + mul4;
-
-    /* store the real result in 3.29 format in the destination buffer. */
-    *pDst++ = out1;
-    /* store the imag result in 3.29 format in the destination buffer. */
-    *pDst++ = out2;
-
-    /* Decrement the blockSize loop counter */
-    blkCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* loop Unrolling */
-  blkCnt = numSamples >> 1u;
-
-  /* First part of the processing with loop unrolling.  Compute 2 outputs at a time.     
-   ** a second loop below computes the remaining 1 sample. */
-  while(blkCnt > 0u)
-  {
-    /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1].  */
-    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i].  */
-    a = *pSrcA++;
-    b = *pSrcA++;
-    c = *pSrcB++;
-    d = *pSrcB++;
-
-    mul1 = (q31_t) (((q63_t) a * c) >> 32);
-    mul2 = (q31_t) (((q63_t) b * d) >> 32);
-    mul3 = (q31_t) (((q63_t) a * d) >> 32);
-    mul4 = (q31_t) (((q63_t) b * c) >> 32);
-
-    mul1 = (mul1 >> 1);
-    mul2 = (mul2 >> 1);
-    mul3 = (mul3 >> 1);
-    mul4 = (mul4 >> 1);
-
-    out1 = mul1 - mul2;
-    out2 = mul3 + mul4;
-
-    /* store the real result in 3.29 format in the destination buffer. */
-    *pDst++ = out1;
-    /* store the imag result in 3.29 format in the destination buffer. */
-    *pDst++ = out2;
-
-    a = *pSrcA++;
-    b = *pSrcA++;
-    c = *pSrcB++;
-    d = *pSrcB++;
-
-    mul1 = (q31_t) (((q63_t) a * c) >> 32);
-    mul2 = (q31_t) (((q63_t) b * d) >> 32);
-    mul3 = (q31_t) (((q63_t) a * d) >> 32);
-    mul4 = (q31_t) (((q63_t) b * c) >> 32);
-
-    mul1 = (mul1 >> 1);
-    mul2 = (mul2 >> 1);
-    mul3 = (mul3 >> 1);
-    mul4 = (mul4 >> 1);
-
-    out1 = mul1 - mul2;
-    out2 = mul3 + mul4;
-
-    /* store the real result in 3.29 format in the destination buffer. */
-    *pDst++ = out1;
-    /* store the imag result in 3.29 format in the destination buffer. */
-    *pDst++ = out2;
-
-    /* Decrement the blockSize loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 2, compute any remaining output samples here.     
-   ** No loop unrolling is used. */
-  blkCnt = numSamples % 0x2u;
-
-  while(blkCnt > 0u)
-  {
-    /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1].  */
-    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i].  */
-    a = *pSrcA++;
-    b = *pSrcA++;
-    c = *pSrcB++;
-    d = *pSrcB++;
-
-    mul1 = (q31_t) (((q63_t) a * c) >> 32);
-    mul2 = (q31_t) (((q63_t) b * d) >> 32);
-    mul3 = (q31_t) (((q63_t) a * d) >> 32);
-    mul4 = (q31_t) (((q63_t) b * c) >> 32);
-
-    mul1 = (mul1 >> 1);
-    mul2 = (mul2 >> 1);
-    mul3 = (mul3 >> 1);
-    mul4 = (mul4 >> 1);
-
-    out1 = mul1 - mul2;
-    out2 = mul3 + mul4;
-
-    /* store the real result in 3.29 format in the destination buffer. */
-    *pDst++ = out1;
-    /* store the imag result in 3.29 format in the destination buffer. */
-    *pDst++ = out2;
-
-    /* Decrement the blockSize loop counter */
-    blkCnt--;
-  }
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-}
-
-/**    
- * @} end of CmplxByCmplxMult group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_real_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_real_f32.c
deleted file mode 100644
index 7a5bdf9cd..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_real_f32.c
+++ /dev/null
@@ -1,217 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_cmplx_mult_real_f32.c    
-*    
-* Description:	Floating-point complex by real multiplication    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**        
- * @ingroup groupCmplxMath        
- */
-
-/**        
- * @defgroup CmplxByRealMult Complex-by-Real Multiplication        
- *        
- * Multiplies a complex vector by a real vector and generates a complex result.        
- * The data in the complex arrays is stored in an interleaved fashion        
- * (real, imag, real, imag, ...).        
- * The parameter numSamples represents the number of complex        
- * samples processed.  The complex arrays have a total of 2*numSamples        
- * real values while the real array has a total of numSamples        
- * real values.        
- *        
- * The underlying algorithm is used:        
- *        
- * 
        
- * for(n=0; n        
- *        
- * There are separate functions for floating-point, Q15, and Q31 data types.        
- */
-
-/**        
- * @addtogroup CmplxByRealMult        
- * @{        
- */
-
-
-/**        
- * @brief  Floating-point complex-by-real multiplication        
- * @param[in]  *pSrcCmplx points to the complex input vector        
- * @param[in]  *pSrcReal points to the real input vector        
- * @param[out]  *pCmplxDst points to the complex output vector        
- * @param[in]  numSamples number of samples in each vector        
- * @return none.        
- */
-
-void arm_cmplx_mult_real_f32(
-  float32_t * pSrcCmplx,
-  float32_t * pSrcReal,
-  float32_t * pCmplxDst,
-  uint32_t numSamples)
-{
-  float32_t in;                                  /* Temporary variable to store input value */
-  uint32_t blkCnt;                               /* loop counters */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  float32_t inA1, inA2, inA3, inA4;              /* Temporary variables to hold input data */
-  float32_t inA5, inA6, inA7, inA8;              /* Temporary variables to hold input data */
-  float32_t inB1, inB2, inB3, inB4;              /* Temporary variables to hold input data */
-  float32_t out1, out2, out3, out4;              /* Temporary variables to hold output data */
-  float32_t out5, out6, out7, out8;              /* Temporary variables to hold output data */
-
-  /* loop Unrolling */
-  blkCnt = numSamples >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.        
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C[2 * i] = A[2 * i] * B[i].            */
-    /* C[2 * i + 1] = A[2 * i + 1] * B[i].        */
-    /* read input from complex input buffer */
-    inA1 = pSrcCmplx[0];
-    inA2 = pSrcCmplx[1];
-    /* read input from real input buffer */
-    inB1 = pSrcReal[0];
-
-    /* read input from complex input buffer */
-    inA3 = pSrcCmplx[2];
-
-    /* multiply complex buffer real input with real buffer input */
-    out1 = inA1 * inB1;
-
-    /* read input from complex input buffer */
-    inA4 = pSrcCmplx[3];
-
-    /* multiply complex buffer imaginary input with real buffer input */
-    out2 = inA2 * inB1;
-
-    /* read input from real input buffer */
-    inB2 = pSrcReal[1];
-    /* read input from complex input buffer */
-    inA5 = pSrcCmplx[4];
-
-    /* multiply complex buffer real input with real buffer input */
-    out3 = inA3 * inB2;
-
-    /* read input from complex input buffer */
-    inA6 = pSrcCmplx[5];
-    /* read input from real input buffer */
-    inB3 = pSrcReal[2];
-
-    /* multiply complex buffer imaginary input with real buffer input */
-    out4 = inA4 * inB2;
-
-    /* read input from complex input buffer */
-    inA7 = pSrcCmplx[6];
-
-    /* multiply complex buffer real input with real buffer input */
-    out5 = inA5 * inB3;
-
-    /* read input from complex input buffer */
-    inA8 = pSrcCmplx[7];
-
-    /* multiply complex buffer imaginary input with real buffer input */
-    out6 = inA6 * inB3;
-
-    /* read input from real input buffer */
-    inB4 = pSrcReal[3];
-
-    /* store result to destination bufer */
-    pCmplxDst[0] = out1;
-
-    /* multiply complex buffer real input with real buffer input */
-    out7 = inA7 * inB4;
-
-    /* store result to destination bufer */
-    pCmplxDst[1] = out2;
-
-    /* multiply complex buffer imaginary input with real buffer input */
-    out8 = inA8 * inB4;
-
-    /* store result to destination bufer */
-    pCmplxDst[2] = out3;
-    pCmplxDst[3] = out4;
-    pCmplxDst[4] = out5;
-
-    /* incremnet complex input buffer by 8 to process next samples */
-    pSrcCmplx += 8u;
-
-    /* store result to destination bufer */
-    pCmplxDst[5] = out6;
-
-    /* increment real input buffer by 4 to process next samples */
-    pSrcReal += 4u;
-
-    /* store result to destination bufer */
-    pCmplxDst[6] = out7;
-    pCmplxDst[7] = out8;
-
-    /* increment destination buffer by 8 to process next sampels */
-    pCmplxDst += 8u;
-
-    /* Decrement the numSamples loop counter */
-    blkCnt--;
-  }
-
-  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.        
-   ** No loop unrolling is used. */
-  blkCnt = numSamples % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  blkCnt = numSamples;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  while(blkCnt > 0u)
-  {
-    /* C[2 * i] = A[2 * i] * B[i].            */
-    /* C[2 * i + 1] = A[2 * i + 1] * B[i].        */
-    in = *pSrcReal++;
-    /* store the result in the destination buffer. */
-    *pCmplxDst++ = (*pSrcCmplx++) * (in);
-    *pCmplxDst++ = (*pSrcCmplx++) * (in);
-
-    /* Decrement the numSamples loop counter */
-    blkCnt--;
-  }
-}
-
-/**        
- * @} end of CmplxByRealMult group        
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_real_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_real_q15.c
deleted file mode 100644
index a44158c4f..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_real_q15.c
+++ /dev/null
@@ -1,195 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_cmplx_mult_real_q15.c    
-*    
-* Description:	Q15 complex by real multiplication    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupCmplxMath    
- */
-
-/**    
- * @addtogroup CmplxByRealMult    
- * @{    
- */
-
-
-/**    
- * @brief  Q15 complex-by-real multiplication    
- * @param[in]  *pSrcCmplx points to the complex input vector    
- * @param[in]  *pSrcReal points to the real input vector    
- * @param[out]  *pCmplxDst points to the complex output vector    
- * @param[in]  numSamples number of samples in each vector    
- * @return none.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function uses saturating arithmetic.    
- * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated.    
- */
-
-void arm_cmplx_mult_real_q15(
-  q15_t * pSrcCmplx,
-  q15_t * pSrcReal,
-  q15_t * pCmplxDst,
-  uint32_t numSamples)
-{
-  q15_t in;                                      /* Temporary variable to store input value */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  uint32_t blkCnt;                               /* loop counters */
-  q31_t inA1, inA2;                              /* Temporary variables to hold input data */
-  q31_t inB1;                                    /* Temporary variables to hold input data */
-  q15_t out1, out2, out3, out4;                  /* Temporary variables to hold output data */
-  q31_t mul1, mul2, mul3, mul4;                  /* Temporary variables to hold intermediate data */
-
-  /* loop Unrolling */
-  blkCnt = numSamples >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C[2 * i] = A[2 * i] * B[i].            */
-    /* C[2 * i + 1] = A[2 * i + 1] * B[i].        */
-    /* read complex number both real and imaginary from complex input buffer */
-    inA1 = *__SIMD32(pSrcCmplx)++;
-    /* read two real values at a time from real input buffer */
-    inB1 = *__SIMD32(pSrcReal)++;
-    /* read complex number both real and imaginary from complex input buffer */
-    inA2 = *__SIMD32(pSrcCmplx)++;
-
-    /* multiply complex number with real numbers */
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    mul1 = (q31_t) ((q15_t) (inA1) * (q15_t) (inB1));
-    mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1));
-    mul3 = (q31_t) ((q15_t) (inA2) * (q15_t) (inB1 >> 16));
-    mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) (inB1 >> 16));
-
-#else
-
-    mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1 >> 16));
-    mul1 = (q31_t) ((q15_t) inA1 * (q15_t) (inB1 >> 16));
-    mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) inB1);
-    mul3 = (q31_t) ((q15_t) inA2 * (q15_t) inB1);
-
-#endif //      #ifndef ARM_MATH_BIG_ENDIAN
-
-    /* saturate the result */
-    out1 = (q15_t) __SSAT(mul1 >> 15u, 16);
-    out2 = (q15_t) __SSAT(mul2 >> 15u, 16);
-    out3 = (q15_t) __SSAT(mul3 >> 15u, 16);
-    out4 = (q15_t) __SSAT(mul4 >> 15u, 16);
-
-    /* pack real and imaginary outputs and store them to destination */
-    *__SIMD32(pCmplxDst)++ = __PKHBT(out1, out2, 16);
-    *__SIMD32(pCmplxDst)++ = __PKHBT(out3, out4, 16);
-
-    inA1 = *__SIMD32(pSrcCmplx)++;
-    inB1 = *__SIMD32(pSrcReal)++;
-    inA2 = *__SIMD32(pSrcCmplx)++;
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    mul1 = (q31_t) ((q15_t) (inA1) * (q15_t) (inB1));
-    mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1));
-    mul3 = (q31_t) ((q15_t) (inA2) * (q15_t) (inB1 >> 16));
-    mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) (inB1 >> 16));
-
-#else
-
-    mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1 >> 16));
-    mul1 = (q31_t) ((q15_t) inA1 * (q15_t) (inB1 >> 16));
-    mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) inB1);
-    mul3 = (q31_t) ((q15_t) inA2 * (q15_t) inB1);
-
-#endif //      #ifndef ARM_MATH_BIG_ENDIAN
-
-    out1 = (q15_t) __SSAT(mul1 >> 15u, 16);
-    out2 = (q15_t) __SSAT(mul2 >> 15u, 16);
-    out3 = (q15_t) __SSAT(mul3 >> 15u, 16);
-    out4 = (q15_t) __SSAT(mul4 >> 15u, 16);
-
-    *__SIMD32(pCmplxDst)++ = __PKHBT(out1, out2, 16);
-    *__SIMD32(pCmplxDst)++ = __PKHBT(out3, out4, 16);
-
-    /* Decrement the numSamples loop counter */
-    blkCnt--;
-  }
-
-  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = numSamples % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* C[2 * i] = A[2 * i] * B[i].            */
-    /* C[2 * i + 1] = A[2 * i + 1] * B[i].        */
-    in = *pSrcReal++;
-    /* store the result in the destination buffer. */
-    *pCmplxDst++ =
-      (q15_t) __SSAT((((q31_t) (*pSrcCmplx++) * (in)) >> 15), 16);
-    *pCmplxDst++ =
-      (q15_t) __SSAT((((q31_t) (*pSrcCmplx++) * (in)) >> 15), 16);
-
-    /* Decrement the numSamples loop counter */
-    blkCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  while(numSamples > 0u)
-  {
-    /* realOut = realA * realB.            */
-    /* imagOut = imagA * realB.                */
-    in = *pSrcReal++;
-    /* store the result in the destination buffer. */
-    *pCmplxDst++ =
-      (q15_t) __SSAT((((q31_t) (*pSrcCmplx++) * (in)) >> 15), 16);
-    *pCmplxDst++ =
-      (q15_t) __SSAT((((q31_t) (*pSrcCmplx++) * (in)) >> 15), 16);
-
-    /* Decrement the numSamples loop counter */
-    numSamples--;
-  }
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-}
-
-/**    
- * @} end of CmplxByRealMult group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_real_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_real_q31.c
deleted file mode 100644
index b286acdb6..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_real_q31.c
+++ /dev/null
@@ -1,215 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_cmplx_mult_real_q31.c    
-*    
-* Description:	Q31 complex by real multiplication    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupCmplxMath    
- */
-
-/**    
- * @addtogroup CmplxByRealMult    
- * @{    
- */
-
-
-/**    
- * @brief  Q31 complex-by-real multiplication    
- * @param[in]  *pSrcCmplx points to the complex input vector    
- * @param[in]  *pSrcReal points to the real input vector    
- * @param[out]  *pCmplxDst points to the complex output vector    
- * @param[in]  numSamples number of samples in each vector    
- * @return none.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function uses saturating arithmetic.    
- * Results outside of the allowable Q31 range[0x80000000 0x7FFFFFFF] will be saturated.    
- */
-
-void arm_cmplx_mult_real_q31(
-  q31_t * pSrcCmplx,
-  q31_t * pSrcReal,
-  q31_t * pCmplxDst,
-  uint32_t numSamples)
-{
-  q31_t inA1;                                    /* Temporary variable to store input value */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  uint32_t blkCnt;                               /* loop counters */
-  q31_t inA2, inA3, inA4;                        /* Temporary variables to hold input data */
-  q31_t inB1, inB2;                              /* Temporary variabels to hold input data */
-  q31_t out1, out2, out3, out4;                  /* Temporary variables to hold output data */
-
-  /* loop Unrolling */
-  blkCnt = numSamples >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C[2 * i] = A[2 * i] * B[i].            */
-    /* C[2 * i + 1] = A[2 * i + 1] * B[i].        */
-    /* read real input from complex input buffer */
-    inA1 = *pSrcCmplx++;
-    inA2 = *pSrcCmplx++;
-    /* read input from real input bufer */
-    inB1 = *pSrcReal++;
-    inB2 = *pSrcReal++;
-    /* read imaginary input from complex input buffer */
-    inA3 = *pSrcCmplx++;
-    inA4 = *pSrcCmplx++;
-
-    /* multiply complex input with real input */
-    out1 = ((q63_t) inA1 * inB1) >> 32;
-    out2 = ((q63_t) inA2 * inB1) >> 32;
-    out3 = ((q63_t) inA3 * inB2) >> 32;
-    out4 = ((q63_t) inA4 * inB2) >> 32;
-
-    /* sature the result */
-    out1 = __SSAT(out1, 31);
-    out2 = __SSAT(out2, 31);
-    out3 = __SSAT(out3, 31);
-    out4 = __SSAT(out4, 31);
-
-    /* get result in 1.31 format */
-    out1 = out1 << 1;
-    out2 = out2 << 1;
-    out3 = out3 << 1;
-    out4 = out4 << 1;
-
-    /* store the result to destination buffer */
-    *pCmplxDst++ = out1;
-    *pCmplxDst++ = out2;
-    *pCmplxDst++ = out3;
-    *pCmplxDst++ = out4;
-
-    /* read real input from complex input buffer */
-    inA1 = *pSrcCmplx++;
-    inA2 = *pSrcCmplx++;
-    /* read input from real input bufer */
-    inB1 = *pSrcReal++;
-    inB2 = *pSrcReal++;
-    /* read imaginary input from complex input buffer */
-    inA3 = *pSrcCmplx++;
-    inA4 = *pSrcCmplx++;
-
-    /* multiply complex input with real input */
-    out1 = ((q63_t) inA1 * inB1) >> 32;
-    out2 = ((q63_t) inA2 * inB1) >> 32;
-    out3 = ((q63_t) inA3 * inB2) >> 32;
-    out4 = ((q63_t) inA4 * inB2) >> 32;
-
-    /* sature the result */
-    out1 = __SSAT(out1, 31);
-    out2 = __SSAT(out2, 31);
-    out3 = __SSAT(out3, 31);
-    out4 = __SSAT(out4, 31);
-
-    /* get result in 1.31 format */
-    out1 = out1 << 1;
-    out2 = out2 << 1;
-    out3 = out3 << 1;
-    out4 = out4 << 1;
-
-    /* store the result to destination buffer */
-    *pCmplxDst++ = out1;
-    *pCmplxDst++ = out2;
-    *pCmplxDst++ = out3;
-    *pCmplxDst++ = out4;
-
-    /* Decrement the numSamples loop counter */
-    blkCnt--;
-  }
-
-  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = numSamples % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* C[2 * i] = A[2 * i] * B[i].            */
-    /* C[2 * i + 1] = A[2 * i + 1] * B[i].        */
-    /* read real input from complex input buffer */
-    inA1 = *pSrcCmplx++;
-    inA2 = *pSrcCmplx++;
-    /* read input from real input bufer */
-    inB1 = *pSrcReal++;
-
-    /* multiply complex input with real input */
-    out1 = ((q63_t) inA1 * inB1) >> 32;
-    out2 = ((q63_t) inA2 * inB1) >> 32;
-
-    /* sature the result */
-    out1 = __SSAT(out1, 31);
-    out2 = __SSAT(out2, 31);
-
-    /* get result in 1.31 format */
-    out1 = out1 << 1;
-    out2 = out2 << 1;
-
-    /* store the result to destination buffer */
-    *pCmplxDst++ = out1;
-    *pCmplxDst++ = out2;
-
-    /* Decrement the numSamples loop counter */
-    blkCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  while(numSamples > 0u)
-  {
-    /* realOut = realA * realB.            */
-    /* imagReal = imagA * realB.               */
-    inA1 = *pSrcReal++;
-    /* store the result in the destination buffer. */
-    *pCmplxDst++ =
-      (q31_t) clip_q63_to_q31(((q63_t) * pSrcCmplx++ * inA1) >> 31);
-    *pCmplxDst++ =
-      (q31_t) clip_q63_to_q31(((q63_t) * pSrcCmplx++ * inA1) >> 31);
-
-    /* Decrement the numSamples loop counter */
-    numSamples--;
-  }
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-}
-
-/**    
- * @} end of CmplxByRealMult group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_pid_init_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_pid_init_f32.c
deleted file mode 100644
index 37e48f609..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_pid_init_f32.c
+++ /dev/null
@@ -1,79 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_pid_init_f32.c    
-*    
-* Description:	Floating-point PID Control initialization function    
-*				   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* ------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
- /**    
- * @addtogroup PID    
- * @{    
- */
-
-/**    
- * @brief  Initialization function for the floating-point PID Control.   
- * @param[in,out] *S points to an instance of the PID structure.   
- * @param[in]     resetStateFlag  flag to reset the state. 0 = no change in state & 1 = reset the state.   
- * @return none.   
- * \par Description:   
- * \par    
- * The resetStateFlag specifies whether to set state to zero or not. \n   
- * The function computes the structure fields: A0, A1 A2    
- * using the proportional gain( \c Kp), integral gain( \c Ki) and derivative gain( \c Kd)    
- * also sets the state variables to all zeros.    
- */
-
-void arm_pid_init_f32(
-  arm_pid_instance_f32 * S,
-  int32_t resetStateFlag)
-{
-
-  /* Derived coefficient A0 */
-  S->A0 = S->Kp + S->Ki + S->Kd;
-
-  /* Derived coefficient A1 */
-  S->A1 = (-S->Kp) - ((float32_t) 2.0 * S->Kd);
-
-  /* Derived coefficient A2 */
-  S->A2 = S->Kd;
-
-  /* Check whether state needs reset or not */
-  if(resetStateFlag)
-  {
-    /* Clear the state buffer.  The size will be always 3 samples */
-    memset(S->state, 0, 3u * sizeof(float32_t));
-  }
-
-}
-
-/**    
- * @} end of PID group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_pid_init_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_pid_init_q15.c
deleted file mode 100644
index 1816bc9aa..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_pid_init_q15.c
+++ /dev/null
@@ -1,114 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_pid_init_q15.c    
-*    
-* Description:	Q15 PID Control initialization function    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
- /**    
- * @addtogroup PID    
- * @{    
- */
-
-/**    
- * @details    
- * @param[in,out] *S points to an instance of the Q15 PID structure.    
- * @param[in]     resetStateFlag  flag to reset the state. 0 = no change in state 1 = reset the state.    
- * @return none.    
- * \par Description:   
- * \par    
- * The resetStateFlag specifies whether to set state to zero or not. \n   
- * The function computes the structure fields: A0, A1 A2    
- * using the proportional gain( \c Kp), integral gain( \c Ki) and derivative gain( \c Kd)    
- * also sets the state variables to all zeros.    
- */
-
-void arm_pid_init_q15(
-  arm_pid_instance_q15 * S,
-  int32_t resetStateFlag)
-{
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /* Derived coefficient A0 */
-  S->A0 = __QADD16(__QADD16(S->Kp, S->Ki), S->Kd);
-
-  /* Derived coefficients and pack into A1 */
-
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-  S->A1 = __PKHBT(-__QADD16(__QADD16(S->Kd, S->Kd), S->Kp), S->Kd, 16);
-
-#else
-
-  S->A1 = __PKHBT(S->Kd, -__QADD16(__QADD16(S->Kd, S->Kd), S->Kp), 16);
-
-#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-  /* Check whether state needs reset or not */
-  if(resetStateFlag)
-  {
-    /* Clear the state buffer.  The size will be always 3 samples */
-    memset(S->state, 0, 3u * sizeof(q15_t));
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  q31_t temp;                                    /*to store the sum */
-
-  /* Derived coefficient A0 */
-  temp = S->Kp + S->Ki + S->Kd;
-  S->A0 = (q15_t) __SSAT(temp, 16);
-
-  /* Derived coefficients and pack into A1 */
-  temp = -(S->Kd + S->Kd + S->Kp);
-  S->A1 = (q15_t) __SSAT(temp, 16);
-  S->A2 = S->Kd;
-
-
-
-  /* Check whether state needs reset or not */
-  if(resetStateFlag)
-  {
-    /* Clear the state buffer.  The size will be always 3 samples */
-    memset(S->state, 0, 3u * sizeof(q15_t));
-  }
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-}
-
-/**    
- * @} end of PID group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_pid_init_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_pid_init_q31.c
deleted file mode 100644
index da40ce973..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_pid_init_q31.c
+++ /dev/null
@@ -1,99 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_pid_init_q31.c    
-*    
-* Description:	Q31 PID Control initialization function     
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* ------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
- /**    
- * @addtogroup PID    
- * @{    
- */
-
-/**    
- * @brief  Initialization function for the Q31 PID Control.   
- * @param[in,out] *S points to an instance of the Q31 PID structure.   
- * @param[in]     resetStateFlag  flag to reset the state. 0 = no change in state 1 = reset the state.   
- * @return none.    
- * \par Description:   
- * \par    
- * The resetStateFlag specifies whether to set state to zero or not. \n   
- * The function computes the structure fields: A0, A1 A2    
- * using the proportional gain( \c Kp), integral gain( \c Ki) and derivative gain( \c Kd)    
- * also sets the state variables to all zeros.    
- */
-
-void arm_pid_init_q31(
-  arm_pid_instance_q31 * S,
-  int32_t resetStateFlag)
-{
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /* Derived coefficient A0 */
-  S->A0 = __QADD(__QADD(S->Kp, S->Ki), S->Kd);
-
-  /* Derived coefficient A1 */
-  S->A1 = -__QADD(__QADD(S->Kd, S->Kd), S->Kp);
-
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  q31_t temp;
-
-  /* Derived coefficient A0 */
-  temp = clip_q63_to_q31((q63_t) S->Kp + S->Ki);
-  S->A0 = clip_q63_to_q31((q63_t) temp + S->Kd);
-
-  /* Derived coefficient A1 */
-  temp = clip_q63_to_q31((q63_t) S->Kd + S->Kd);
-  S->A1 = -clip_q63_to_q31((q63_t) temp + S->Kp);
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  /* Derived coefficient A2 */
-  S->A2 = S->Kd;
-
-  /* Check whether state needs reset or not */
-  if(resetStateFlag)
-  {
-    /* Clear the state buffer.  The size will be always 3 samples */
-    memset(S->state, 0, 3u * sizeof(q31_t));
-  }
-
-}
-
-/**    
- * @} end of PID group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_pid_reset_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_pid_reset_f32.c
deleted file mode 100644
index 491ad5268..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_pid_reset_f32.c
+++ /dev/null
@@ -1,57 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_pid_reset_f32.c    
-*    
-* Description:	Floating-point PID Control reset function   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* ------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
- /**    
- * @addtogroup PID    
- * @{    
- */
-
-/**    
-* @brief  Reset function for the floating-point PID Control.   
-* @param[in] *S	Instance pointer of PID control data structure.   
-* @return none.    
-* \par Description:   
-* The function resets the state buffer to zeros.    
-*/
-void arm_pid_reset_f32(
-  arm_pid_instance_f32 * S)
-{
-
-  /* Clear the state buffer.  The size will be always 3 samples */
-  memset(S->state, 0, 3u * sizeof(float32_t));
-}
-
-/**    
- * @} end of PID group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_pid_reset_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_pid_reset_q15.c
deleted file mode 100644
index dc0078746..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_pid_reset_q15.c
+++ /dev/null
@@ -1,56 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_pid_reset_q15.c    
-*    
-* Description:	Q15 PID Control reset function   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
- /**    
- * @addtogroup PID    
- * @{    
- */
-
-/**    
-* @brief  Reset function for the Q15 PID Control.   
-* @param[in] *S		Instance pointer of PID control data structure.   
-* @return none.    
-* \par Description:   
-* The function resets the state buffer to zeros.    
-*/
-void arm_pid_reset_q15(
-  arm_pid_instance_q15 * S)
-{
-  /* Reset state to zero, The size will be always 3 samples */
-  memset(S->state, 0, 3u * sizeof(q15_t));
-}
-
-/**    
- * @} end of PID group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_pid_reset_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_pid_reset_q31.c
deleted file mode 100644
index b1ff753af..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_pid_reset_q31.c
+++ /dev/null
@@ -1,57 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_pid_reset_q31.c    
-*    
-* Description:	Q31 PID Control reset function   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* ------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
- /**    
- * @addtogroup PID    
- * @{    
- */
-
-/**    
-* @brief  Reset function for the Q31 PID Control.   
-* @param[in] *S	Instance pointer of PID control data structure.   
-* @return none.    
-* \par Description:   
-* The function resets the state buffer to zeros.    
-*/
-void arm_pid_reset_q31(
-  arm_pid_instance_q31 * S)
-{
-
-  /* Clear the state buffer.  The size will be always 3 samples */
-  memset(S->state, 0, 3u * sizeof(q31_t));
-}
-
-/**    
- * @} end of PID group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_sin_cos_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_sin_cos_f32.c
deleted file mode 100644
index 1679a780c..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_sin_cos_f32.c
+++ /dev/null
@@ -1,428 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_sin_cos_f32.c    
-*    
-* Description:	Sine and Cosine calculation for floating-point values.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupController    
- */
-
-/**    
- * @defgroup SinCos Sine Cosine   
- *    
- * Computes the trigonometric sine and cosine values using a combination of table lookup   
- * and linear interpolation.     
- * There are separate functions for Q31 and floating-point data types.   
- * The input to the floating-point version is in degrees while the   
- * fixed-point Q31 have a scaled input with the range   
- * [-1 0.9999] mapping to [-180 179] degrees.   
- *   
- * The implementation is based on table lookup using 360 values together with linear interpolation.   
- * The steps used are:   
- *  -# Calculation of the nearest integer table index.   
- *  -# Compute the fractional portion (fract) of the input.   
- *  -# Fetch the value corresponding to \c index from sine table to \c y0 and also value from \c index+1 to \c y1.      
- *  -# Sine value is computed as  *psinVal = y0 + (fract * (y1 - y0)).    
- *  -# Fetch the value corresponding to \c index from cosine table to \c y0 and also value from \c index+1 to \c y1.      
- *  -# Cosine value is computed as  *pcosVal = y0 + (fract * (y1 - y0)).    
- */
-
- /**    
- * @addtogroup SinCos    
- * @{    
- */
-
-
-/**    
-* \par    
-* Cosine Table is generated from following loop    
-* 
for(i = 0; i < 360; i++)    
-* {    
-*    cosTable[i]= cos((i-180) * PI/180.0);    
-* } 
   
-*/
-
-static const float32_t cosTable[360] = {
-  -0.999847695156391270f, -0.999390827019095760f, -0.998629534754573830f,
-  -0.997564050259824200f, -0.996194698091745550f, -0.994521895368273290f,
-  -0.992546151641321980f, -0.990268068741570250f,
-  -0.987688340595137660f, -0.984807753012208020f, -0.981627183447663980f,
-  -0.978147600733805690f, -0.974370064785235250f, -0.970295726275996470f,
-  -0.965925826289068200f, -0.961261695938318670f,
-  -0.956304755963035440f, -0.951056516295153530f, -0.945518575599316740f,
-  -0.939692620785908320f, -0.933580426497201740f, -0.927183854566787310f,
-  -0.920504853452440150f, -0.913545457642600760f,
-  -0.906307787036649940f, -0.898794046299167040f, -0.891006524188367790f,
-  -0.882947592858926770f, -0.874619707139395740f, -0.866025403784438710f,
-  -0.857167300702112220f, -0.848048096156425960f,
-  -0.838670567945424160f, -0.829037572555041620f, -0.819152044288991580f,
-  -0.809016994374947340f, -0.798635510047292940f, -0.788010753606721900f,
-  -0.777145961456970680f, -0.766044443118977900f,
-  -0.754709580222772010f, -0.743144825477394130f, -0.731353701619170460f,
-  -0.719339800338651300f, -0.707106781186547460f, -0.694658370458997030f,
-  -0.681998360062498370f, -0.669130606358858240f,
-  -0.656059028990507500f, -0.642787609686539360f, -0.629320391049837280f,
-  -0.615661475325658290f, -0.601815023152048380f, -0.587785252292473030f,
-  -0.573576436351045830f, -0.559192903470746680f,
-  -0.544639035015027080f, -0.529919264233204790f, -0.515038074910054270f,
-  -0.499999999999999780f, -0.484809620246337000f, -0.469471562785890530f,
-  -0.453990499739546750f, -0.438371146789077510f,
-  -0.422618261740699330f, -0.406736643075800100f, -0.390731128489273600f,
-  -0.374606593415912070f, -0.358367949545300270f, -0.342020143325668710f,
-  -0.325568154457156420f, -0.309016994374947340f,
-  -0.292371704722736660f, -0.275637355816999050f, -0.258819045102520850f,
-  -0.241921895599667790f, -0.224951054343864810f, -0.207911690817759120f,
-  -0.190808995376544800f, -0.173648177666930300f,
-  -0.156434465040231040f, -0.139173100960065350f, -0.121869343405147370f,
-  -0.104528463267653330f, -0.087155742747658235f, -0.069756473744125330f,
-  -0.052335956242943620f, -0.034899496702500733f,
-  -0.017452406437283477f, 0.000000000000000061f, 0.017452406437283376f,
-  0.034899496702501080f, 0.052335956242943966f, 0.069756473744125455f,
-  0.087155742747658138f, 0.104528463267653460f,
-  0.121869343405147490f, 0.139173100960065690f, 0.156434465040230920f,
-  0.173648177666930410f, 0.190808995376544920f, 0.207911690817759450f,
-  0.224951054343864920f, 0.241921895599667900f,
-  0.258819045102520740f, 0.275637355816999160f, 0.292371704722736770f,
-  0.309016994374947450f, 0.325568154457156760f, 0.342020143325668820f,
-  0.358367949545300380f, 0.374606593415911960f,
-  0.390731128489273940f, 0.406736643075800210f, 0.422618261740699440f,
-  0.438371146789077460f, 0.453990499739546860f, 0.469471562785890860f,
-  0.484809620246337110f, 0.500000000000000110f,
-  0.515038074910054380f, 0.529919264233204900f, 0.544639035015027200f,
-  0.559192903470746790f, 0.573576436351046050f, 0.587785252292473140f,
-  0.601815023152048270f, 0.615661475325658290f,
-  0.629320391049837500f, 0.642787609686539360f, 0.656059028990507280f,
-  0.669130606358858240f, 0.681998360062498480f, 0.694658370458997370f,
-  0.707106781186547570f, 0.719339800338651190f,
-  0.731353701619170570f, 0.743144825477394240f, 0.754709580222772010f,
-  0.766044443118978010f, 0.777145961456970900f, 0.788010753606722010f,
-  0.798635510047292830f, 0.809016994374947450f,
-  0.819152044288991800f, 0.829037572555041620f, 0.838670567945424050f,
-  0.848048096156425960f, 0.857167300702112330f, 0.866025403784438710f,
-  0.874619707139395740f, 0.882947592858926990f,
-  0.891006524188367900f, 0.898794046299167040f, 0.906307787036649940f,
-  0.913545457642600870f, 0.920504853452440370f, 0.927183854566787420f,
-  0.933580426497201740f, 0.939692620785908430f,
-  0.945518575599316850f, 0.951056516295153530f, 0.956304755963035440f,
-  0.961261695938318890f, 0.965925826289068310f, 0.970295726275996470f,
-  0.974370064785235250f, 0.978147600733805690f,
-  0.981627183447663980f, 0.984807753012208020f, 0.987688340595137770f,
-  0.990268068741570360f, 0.992546151641321980f, 0.994521895368273290f,
-  0.996194698091745550f, 0.997564050259824200f,
-  0.998629534754573830f, 0.999390827019095760f, 0.999847695156391270f,
-  1.000000000000000000f, 0.999847695156391270f, 0.999390827019095760f,
-  0.998629534754573830f, 0.997564050259824200f,
-  0.996194698091745550f, 0.994521895368273290f, 0.992546151641321980f,
-  0.990268068741570360f, 0.987688340595137770f, 0.984807753012208020f,
-  0.981627183447663980f, 0.978147600733805690f,
-  0.974370064785235250f, 0.970295726275996470f, 0.965925826289068310f,
-  0.961261695938318890f, 0.956304755963035440f, 0.951056516295153530f,
-  0.945518575599316850f, 0.939692620785908430f,
-  0.933580426497201740f, 0.927183854566787420f, 0.920504853452440370f,
-  0.913545457642600870f, 0.906307787036649940f, 0.898794046299167040f,
-  0.891006524188367900f, 0.882947592858926990f,
-  0.874619707139395740f, 0.866025403784438710f, 0.857167300702112330f,
-  0.848048096156425960f, 0.838670567945424050f, 0.829037572555041620f,
-  0.819152044288991800f, 0.809016994374947450f,
-  0.798635510047292830f, 0.788010753606722010f, 0.777145961456970900f,
-  0.766044443118978010f, 0.754709580222772010f, 0.743144825477394240f,
-  0.731353701619170570f, 0.719339800338651190f,
-  0.707106781186547570f, 0.694658370458997370f, 0.681998360062498480f,
-  0.669130606358858240f, 0.656059028990507280f, 0.642787609686539360f,
-  0.629320391049837500f, 0.615661475325658290f,
-  0.601815023152048270f, 0.587785252292473140f, 0.573576436351046050f,
-  0.559192903470746790f, 0.544639035015027200f, 0.529919264233204900f,
-  0.515038074910054380f, 0.500000000000000110f,
-  0.484809620246337110f, 0.469471562785890860f, 0.453990499739546860f,
-  0.438371146789077460f, 0.422618261740699440f, 0.406736643075800210f,
-  0.390731128489273940f, 0.374606593415911960f,
-  0.358367949545300380f, 0.342020143325668820f, 0.325568154457156760f,
-  0.309016994374947450f, 0.292371704722736770f, 0.275637355816999160f,
-  0.258819045102520740f, 0.241921895599667900f,
-  0.224951054343864920f, 0.207911690817759450f, 0.190808995376544920f,
-  0.173648177666930410f, 0.156434465040230920f, 0.139173100960065690f,
-  0.121869343405147490f, 0.104528463267653460f,
-  0.087155742747658138f, 0.069756473744125455f, 0.052335956242943966f,
-  0.034899496702501080f, 0.017452406437283376f, 0.000000000000000061f,
-  -0.017452406437283477f, -0.034899496702500733f,
-  -0.052335956242943620f, -0.069756473744125330f, -0.087155742747658235f,
-  -0.104528463267653330f, -0.121869343405147370f, -0.139173100960065350f,
-  -0.156434465040231040f, -0.173648177666930300f,
-  -0.190808995376544800f, -0.207911690817759120f, -0.224951054343864810f,
-  -0.241921895599667790f, -0.258819045102520850f, -0.275637355816999050f,
-  -0.292371704722736660f, -0.309016994374947340f,
-  -0.325568154457156420f, -0.342020143325668710f, -0.358367949545300270f,
-  -0.374606593415912070f, -0.390731128489273600f, -0.406736643075800100f,
-  -0.422618261740699330f, -0.438371146789077510f,
-  -0.453990499739546750f, -0.469471562785890530f, -0.484809620246337000f,
-  -0.499999999999999780f, -0.515038074910054270f, -0.529919264233204790f,
-  -0.544639035015027080f, -0.559192903470746680f,
-  -0.573576436351045830f, -0.587785252292473030f, -0.601815023152048380f,
-  -0.615661475325658290f, -0.629320391049837280f, -0.642787609686539360f,
-  -0.656059028990507500f, -0.669130606358858240f,
-  -0.681998360062498370f, -0.694658370458997030f, -0.707106781186547460f,
-  -0.719339800338651300f, -0.731353701619170460f, -0.743144825477394130f,
-  -0.754709580222772010f, -0.766044443118977900f,
-  -0.777145961456970680f, -0.788010753606721900f, -0.798635510047292940f,
-  -0.809016994374947340f, -0.819152044288991580f, -0.829037572555041620f,
-  -0.838670567945424160f, -0.848048096156425960f,
-  -0.857167300702112220f, -0.866025403784438710f, -0.874619707139395740f,
-  -0.882947592858926770f, -0.891006524188367790f, -0.898794046299167040f,
-  -0.906307787036649940f, -0.913545457642600760f,
-  -0.920504853452440150f, -0.927183854566787310f, -0.933580426497201740f,
-  -0.939692620785908320f, -0.945518575599316740f, -0.951056516295153530f,
-  -0.956304755963035440f, -0.961261695938318670f,
-  -0.965925826289068200f, -0.970295726275996470f, -0.974370064785235250f,
-  -0.978147600733805690f, -0.981627183447663980f, -0.984807753012208020f,
-  -0.987688340595137660f, -0.990268068741570250f,
-  -0.992546151641321980f, -0.994521895368273290f, -0.996194698091745550f,
-  -0.997564050259824200f, -0.998629534754573830f, -0.999390827019095760f,
-  -0.999847695156391270f, -1.000000000000000000f
-};
-
-/**    
-* \par    
-* Sine Table is generated from following loop    
-* 
for(i = 0; i < 360; i++)    
-* {    
-*    sinTable[i]= sin((i-180) * PI/180.0);    
-* } 
    
-*/
-
-
-static const float32_t sinTable[360] = {
-  -0.017452406437283439f, -0.034899496702500699f, -0.052335956242943807f,
-  -0.069756473744125524f, -0.087155742747658638f, -0.104528463267653730f,
-  -0.121869343405147550f, -0.139173100960065740f,
-  -0.156434465040230980f, -0.173648177666930280f, -0.190808995376544970f,
-  -0.207911690817759310f, -0.224951054343864780f, -0.241921895599667730f,
-  -0.258819045102521020f, -0.275637355816999660f,
-  -0.292371704722737050f, -0.309016994374947510f, -0.325568154457156980f,
-  -0.342020143325668880f, -0.358367949545300210f, -0.374606593415912240f,
-  -0.390731128489274160f, -0.406736643075800430f,
-  -0.422618261740699500f, -0.438371146789077290f, -0.453990499739546860f,
-  -0.469471562785891080f, -0.484809620246337170f, -0.499999999999999940f,
-  -0.515038074910054380f, -0.529919264233204900f,
-  -0.544639035015026860f, -0.559192903470746900f, -0.573576436351046380f,
-  -0.587785252292473250f, -0.601815023152048160f, -0.615661475325658400f,
-  -0.629320391049837720f, -0.642787609686539470f,
-  -0.656059028990507280f, -0.669130606358858350f, -0.681998360062498590f,
-  -0.694658370458997140f, -0.707106781186547570f, -0.719339800338651410f,
-  -0.731353701619170570f, -0.743144825477394240f,
-  -0.754709580222771790f, -0.766044443118978010f, -0.777145961456971010f,
-  -0.788010753606722010f, -0.798635510047292720f, -0.809016994374947450f,
-  -0.819152044288992020f, -0.829037572555041740f,
-  -0.838670567945424050f, -0.848048096156426070f, -0.857167300702112330f,
-  -0.866025403784438710f, -0.874619707139395850f, -0.882947592858927100f,
-  -0.891006524188367900f, -0.898794046299166930f,
-  -0.906307787036650050f, -0.913545457642600980f, -0.920504853452440370f,
-  -0.927183854566787420f, -0.933580426497201740f, -0.939692620785908430f,
-  -0.945518575599316850f, -0.951056516295153640f,
-  -0.956304755963035550f, -0.961261695938318890f, -0.965925826289068310f,
-  -0.970295726275996470f, -0.974370064785235250f, -0.978147600733805690f,
-  -0.981627183447663980f, -0.984807753012208020f,
-  -0.987688340595137660f, -0.990268068741570360f, -0.992546151641322090f,
-  -0.994521895368273400f, -0.996194698091745550f, -0.997564050259824200f,
-  -0.998629534754573830f, -0.999390827019095760f,
-  -0.999847695156391270f, -1.000000000000000000f, -0.999847695156391270f,
-  -0.999390827019095760f, -0.998629534754573830f, -0.997564050259824200f,
-  -0.996194698091745550f, -0.994521895368273290f,
-  -0.992546151641321980f, -0.990268068741570250f, -0.987688340595137770f,
-  -0.984807753012208020f, -0.981627183447663980f, -0.978147600733805580f,
-  -0.974370064785235250f, -0.970295726275996470f,
-  -0.965925826289068310f, -0.961261695938318890f, -0.956304755963035440f,
-  -0.951056516295153530f, -0.945518575599316740f, -0.939692620785908320f,
-  -0.933580426497201740f, -0.927183854566787420f,
-  -0.920504853452440260f, -0.913545457642600870f, -0.906307787036649940f,
-  -0.898794046299167040f, -0.891006524188367790f, -0.882947592858926880f,
-  -0.874619707139395740f, -0.866025403784438600f,
-  -0.857167300702112220f, -0.848048096156426070f, -0.838670567945423940f,
-  -0.829037572555041740f, -0.819152044288991800f, -0.809016994374947450f,
-  -0.798635510047292830f, -0.788010753606722010f,
-  -0.777145961456970790f, -0.766044443118978010f, -0.754709580222772010f,
-  -0.743144825477394240f, -0.731353701619170460f, -0.719339800338651080f,
-  -0.707106781186547460f, -0.694658370458997250f,
-  -0.681998360062498480f, -0.669130606358858240f, -0.656059028990507160f,
-  -0.642787609686539250f, -0.629320391049837390f, -0.615661475325658180f,
-  -0.601815023152048270f, -0.587785252292473140f,
-  -0.573576436351046050f, -0.559192903470746900f, -0.544639035015027080f,
-  -0.529919264233204900f, -0.515038074910054160f, -0.499999999999999940f,
-  -0.484809620246337060f, -0.469471562785890810f,
-  -0.453990499739546750f, -0.438371146789077400f, -0.422618261740699440f,
-  -0.406736643075800150f, -0.390731128489273720f, -0.374606593415912010f,
-  -0.358367949545300270f, -0.342020143325668710f,
-  -0.325568154457156640f, -0.309016994374947400f, -0.292371704722736770f,
-  -0.275637355816999160f, -0.258819045102520740f, -0.241921895599667730f,
-  -0.224951054343865000f, -0.207911690817759310f,
-  -0.190808995376544800f, -0.173648177666930330f, -0.156434465040230870f,
-  -0.139173100960065440f, -0.121869343405147480f, -0.104528463267653460f,
-  -0.087155742747658166f, -0.069756473744125302f,
-  -0.052335956242943828f, -0.034899496702500969f, -0.017452406437283512f,
-  0.000000000000000000f, 0.017452406437283512f, 0.034899496702500969f,
-  0.052335956242943828f, 0.069756473744125302f,
-  0.087155742747658166f, 0.104528463267653460f, 0.121869343405147480f,
-  0.139173100960065440f, 0.156434465040230870f, 0.173648177666930330f,
-  0.190808995376544800f, 0.207911690817759310f,
-  0.224951054343865000f, 0.241921895599667730f, 0.258819045102520740f,
-  0.275637355816999160f, 0.292371704722736770f, 0.309016994374947400f,
-  0.325568154457156640f, 0.342020143325668710f,
-  0.358367949545300270f, 0.374606593415912010f, 0.390731128489273720f,
-  0.406736643075800150f, 0.422618261740699440f, 0.438371146789077400f,
-  0.453990499739546750f, 0.469471562785890810f,
-  0.484809620246337060f, 0.499999999999999940f, 0.515038074910054160f,
-  0.529919264233204900f, 0.544639035015027080f, 0.559192903470746900f,
-  0.573576436351046050f, 0.587785252292473140f,
-  0.601815023152048270f, 0.615661475325658180f, 0.629320391049837390f,
-  0.642787609686539250f, 0.656059028990507160f, 0.669130606358858240f,
-  0.681998360062498480f, 0.694658370458997250f,
-  0.707106781186547460f, 0.719339800338651080f, 0.731353701619170460f,
-  0.743144825477394240f, 0.754709580222772010f, 0.766044443118978010f,
-  0.777145961456970790f, 0.788010753606722010f,
-  0.798635510047292830f, 0.809016994374947450f, 0.819152044288991800f,
-  0.829037572555041740f, 0.838670567945423940f, 0.848048096156426070f,
-  0.857167300702112220f, 0.866025403784438600f,
-  0.874619707139395740f, 0.882947592858926880f, 0.891006524188367790f,
-  0.898794046299167040f, 0.906307787036649940f, 0.913545457642600870f,
-  0.920504853452440260f, 0.927183854566787420f,
-  0.933580426497201740f, 0.939692620785908320f, 0.945518575599316740f,
-  0.951056516295153530f, 0.956304755963035440f, 0.961261695938318890f,
-  0.965925826289068310f, 0.970295726275996470f,
-  0.974370064785235250f, 0.978147600733805580f, 0.981627183447663980f,
-  0.984807753012208020f, 0.987688340595137770f, 0.990268068741570250f,
-  0.992546151641321980f, 0.994521895368273290f,
-  0.996194698091745550f, 0.997564050259824200f, 0.998629534754573830f,
-  0.999390827019095760f, 0.999847695156391270f, 1.000000000000000000f,
-  0.999847695156391270f, 0.999390827019095760f,
-  0.998629534754573830f, 0.997564050259824200f, 0.996194698091745550f,
-  0.994521895368273400f, 0.992546151641322090f, 0.990268068741570360f,
-  0.987688340595137660f, 0.984807753012208020f,
-  0.981627183447663980f, 0.978147600733805690f, 0.974370064785235250f,
-  0.970295726275996470f, 0.965925826289068310f, 0.961261695938318890f,
-  0.956304755963035550f, 0.951056516295153640f,
-  0.945518575599316850f, 0.939692620785908430f, 0.933580426497201740f,
-  0.927183854566787420f, 0.920504853452440370f, 0.913545457642600980f,
-  0.906307787036650050f, 0.898794046299166930f,
-  0.891006524188367900f, 0.882947592858927100f, 0.874619707139395850f,
-  0.866025403784438710f, 0.857167300702112330f, 0.848048096156426070f,
-  0.838670567945424050f, 0.829037572555041740f,
-  0.819152044288992020f, 0.809016994374947450f, 0.798635510047292720f,
-  0.788010753606722010f, 0.777145961456971010f, 0.766044443118978010f,
-  0.754709580222771790f, 0.743144825477394240f,
-  0.731353701619170570f, 0.719339800338651410f, 0.707106781186547570f,
-  0.694658370458997140f, 0.681998360062498590f, 0.669130606358858350f,
-  0.656059028990507280f, 0.642787609686539470f,
-  0.629320391049837720f, 0.615661475325658400f, 0.601815023152048160f,
-  0.587785252292473250f, 0.573576436351046380f, 0.559192903470746900f,
-  0.544639035015026860f, 0.529919264233204900f,
-  0.515038074910054380f, 0.499999999999999940f, 0.484809620246337170f,
-  0.469471562785891080f, 0.453990499739546860f, 0.438371146789077290f,
-  0.422618261740699500f, 0.406736643075800430f,
-  0.390731128489274160f, 0.374606593415912240f, 0.358367949545300210f,
-  0.342020143325668880f, 0.325568154457156980f, 0.309016994374947510f,
-  0.292371704722737050f, 0.275637355816999660f,
-  0.258819045102521020f, 0.241921895599667730f, 0.224951054343864780f,
-  0.207911690817759310f, 0.190808995376544970f, 0.173648177666930280f,
-  0.156434465040230980f, 0.139173100960065740f,
-  0.121869343405147550f, 0.104528463267653730f, 0.087155742747658638f,
-  0.069756473744125524f, 0.052335956242943807f, 0.034899496702500699f,
-  0.017452406437283439f, 0.000000000000000122f
-};
-
-
-/**    
- * @brief  Floating-point sin_cos function.   
- * @param[in]  theta    input value in degrees    
- * @param[out] *pSinVal points to the processed sine output.    
- * @param[out] *pCosVal points to the processed cos output.    
- * @return none.   
- */
-
-
-void arm_sin_cos_f32(
-  float32_t theta,
-  float32_t * pSinVal,
-  float32_t * pCosVal)
-{
-  int32_t i;                                     /* Index for reading nearwst output values */
-  float32_t x1 = -179.0f;                        /* Initial input value */
-  float32_t y0, y1;                              /* nearest output values */
-  float32_t y2, y3;
-  float32_t fract;                               /* fractional part of input */
-
-  /* Calculation of fractional part */
-  if(theta > 0.0f)
-  {
-    fract = theta - (float32_t) ((int32_t) theta);
-  }
-  else
-  {
-    fract = (theta - (float32_t) ((int32_t) theta)) + 1.0f;
-  }
-
-  /* index calculation for reading nearest output values */
-  i = (uint32_t) (theta - x1);
-
-  /* Checking min and max index of table */
-  if(i < 0)
-  {
-    i = 0;
-  }
-  else if(i >= 359)
-  {
-    i = 358;
-  }
-
-  /* reading nearest sine output values */
-  y0 = sinTable[i];
-  y1 = sinTable[i + 1u];
-
-  /* reading nearest cosine output values */
-  y2 = cosTable[i];
-  y3 = cosTable[i + 1u];
-
-  y1 = y1 - y0;
-  y3 = y3 - y2;
-
-  y1 = fract * y1;
-  y3 = fract * y3;
-
-  /* Calculation of sine value */
-  *pSinVal = y0 + y1;
-
-  /* Calculation of cosine value */
-  *pCosVal = y2 + y3;
-
-}
-
-/**    
- * @} end of SinCos group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_sin_cos_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_sin_cos_q31.c
deleted file mode 100644
index e22d25e53..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/ControllerFunctions/arm_sin_cos_q31.c
+++ /dev/null
@@ -1,324 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_sin_cos_q31.c    
-*    
-* Description:	Cosine & Sine calculation for Q31 values.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupController    
- */
-
- /**    
- * @addtogroup SinCos    
- * @{    
- */
-
-/**    
-* \par    
-* Sine Table is generated from following loop    
-* 
for(i = 0; i < 360; i++)    
-* {    
-*    sinTable[i]= sin((i-180) * PI/180.0);    
-* } 
   
-* Convert above coefficients to fixed point 1.31 format.    
-*/
-
-static const int32_t sinTableQ31[360] = {
-
-  0x0, 0xfdc41e9b, 0xfb8869ce, 0xf94d0e2e, 0xf7123849, 0xf4d814a4, 0xf29ecfb2,
-  0xf06695da,
-  0xee2f9369, 0xebf9f498, 0xe9c5e582, 0xe7939223, 0xe5632654, 0xe334cdc9,
-  0xe108b40d, 0xdedf047d,
-  0xdcb7ea46, 0xda939061, 0xd8722192, 0xd653c860, 0xd438af17, 0xd220ffc0,
-  0xd00ce422, 0xcdfc85bb,
-  0xcbf00dbe, 0xc9e7a512, 0xc7e3744b, 0xc5e3a3a9, 0xc3e85b18, 0xc1f1c224,
-  0xc0000000, 0xbe133b7c,
-  0xbc2b9b05, 0xba4944a2, 0xb86c5df0, 0xb6950c1e, 0xb4c373ee, 0xb2f7b9af,
-  0xb1320139, 0xaf726def,
-  0xadb922b7, 0xac0641fb, 0xaa59eda4, 0xa8b4471a, 0xa7156f3c, 0xa57d8666,
-  0xa3ecac65, 0xa263007d,
-  0xa0e0a15f, 0x9f65ad2d, 0x9df24175, 0x9c867b2c, 0x9b2276b0, 0x99c64fc5,
-  0x98722192, 0x9726069c,
-  0x95e218c9, 0x94a6715d, 0x937328f5, 0x92485786, 0x9126145f, 0x900c7621,
-  0x8efb92c2, 0x8df37f8b,
-  0x8cf45113, 0x8bfe1b3f, 0x8b10f144, 0x8a2ce59f, 0x89520a1a, 0x88806fc4,
-  0x87b826f7, 0x86f93f50,
-  0x8643c7b3, 0x8597ce46, 0x84f56073, 0x845c8ae3, 0x83cd5982, 0x8347d77b,
-  0x82cc0f36, 0x825a0a5b,
-  0x81f1d1ce, 0x81936daf, 0x813ee55b, 0x80f43f69, 0x80b381ac, 0x807cb130,
-  0x804fd23a, 0x802ce84c,
-  0x8013f61d, 0x8004fda0, 0x80000000, 0x8004fda0, 0x8013f61d, 0x802ce84c,
-  0x804fd23a, 0x807cb130,
-  0x80b381ac, 0x80f43f69, 0x813ee55b, 0x81936daf, 0x81f1d1ce, 0x825a0a5b,
-  0x82cc0f36, 0x8347d77b,
-  0x83cd5982, 0x845c8ae3, 0x84f56073, 0x8597ce46, 0x8643c7b3, 0x86f93f50,
-  0x87b826f7, 0x88806fc4,
-  0x89520a1a, 0x8a2ce59f, 0x8b10f144, 0x8bfe1b3f, 0x8cf45113, 0x8df37f8b,
-  0x8efb92c2, 0x900c7621,
-  0x9126145f, 0x92485786, 0x937328f5, 0x94a6715d, 0x95e218c9, 0x9726069c,
-  0x98722192, 0x99c64fc5,
-  0x9b2276b0, 0x9c867b2c, 0x9df24175, 0x9f65ad2d, 0xa0e0a15f, 0xa263007d,
-  0xa3ecac65, 0xa57d8666,
-  0xa7156f3c, 0xa8b4471a, 0xaa59eda4, 0xac0641fb, 0xadb922b7, 0xaf726def,
-  0xb1320139, 0xb2f7b9af,
-  0xb4c373ee, 0xb6950c1e, 0xb86c5df0, 0xba4944a2, 0xbc2b9b05, 0xbe133b7c,
-  0xc0000000, 0xc1f1c224,
-  0xc3e85b18, 0xc5e3a3a9, 0xc7e3744b, 0xc9e7a512, 0xcbf00dbe, 0xcdfc85bb,
-  0xd00ce422, 0xd220ffc0,
-  0xd438af17, 0xd653c860, 0xd8722192, 0xda939061, 0xdcb7ea46, 0xdedf047d,
-  0xe108b40d, 0xe334cdc9,
-  0xe5632654, 0xe7939223, 0xe9c5e582, 0xebf9f498, 0xee2f9369, 0xf06695da,
-  0xf29ecfb2, 0xf4d814a4,
-  0xf7123849, 0xf94d0e2e, 0xfb8869ce, 0xfdc41e9b, 0x0, 0x23be165, 0x4779632,
-  0x6b2f1d2,
-  0x8edc7b7, 0xb27eb5c, 0xd61304e, 0xf996a26, 0x11d06c97, 0x14060b68,
-  0x163a1a7e, 0x186c6ddd,
-  0x1a9cd9ac, 0x1ccb3237, 0x1ef74bf3, 0x2120fb83, 0x234815ba, 0x256c6f9f,
-  0x278dde6e, 0x29ac37a0,
-  0x2bc750e9, 0x2ddf0040, 0x2ff31bde, 0x32037a45, 0x340ff242, 0x36185aee,
-  0x381c8bb5, 0x3a1c5c57,
-  0x3c17a4e8, 0x3e0e3ddc, 0x40000000, 0x41ecc484, 0x43d464fb, 0x45b6bb5e,
-  0x4793a210, 0x496af3e2,
-  0x4b3c8c12, 0x4d084651, 0x4ecdfec7, 0x508d9211, 0x5246dd49, 0x53f9be05,
-  0x55a6125c, 0x574bb8e6,
-  0x58ea90c4, 0x5a82799a, 0x5c13539b, 0x5d9cff83, 0x5f1f5ea1, 0x609a52d3,
-  0x620dbe8b, 0x637984d4,
-  0x64dd8950, 0x6639b03b, 0x678dde6e, 0x68d9f964, 0x6a1de737, 0x6b598ea3,
-  0x6c8cd70b, 0x6db7a87a,
-  0x6ed9eba1, 0x6ff389df, 0x71046d3e, 0x720c8075, 0x730baeed, 0x7401e4c1,
-  0x74ef0ebc, 0x75d31a61,
-  0x76adf5e6, 0x777f903c, 0x7847d909, 0x7906c0b0, 0x79bc384d, 0x7a6831ba,
-  0x7b0a9f8d, 0x7ba3751d,
-  0x7c32a67e, 0x7cb82885, 0x7d33f0ca, 0x7da5f5a5, 0x7e0e2e32, 0x7e6c9251,
-  0x7ec11aa5, 0x7f0bc097,
-  0x7f4c7e54, 0x7f834ed0, 0x7fb02dc6, 0x7fd317b4, 0x7fec09e3, 0x7ffb0260,
-  0x7fffffff, 0x7ffb0260,
-  0x7fec09e3, 0x7fd317b4, 0x7fb02dc6, 0x7f834ed0, 0x7f4c7e54, 0x7f0bc097,
-  0x7ec11aa5, 0x7e6c9251,
-  0x7e0e2e32, 0x7da5f5a5, 0x7d33f0ca, 0x7cb82885, 0x7c32a67e, 0x7ba3751d,
-  0x7b0a9f8d, 0x7a6831ba,
-  0x79bc384d, 0x7906c0b0, 0x7847d909, 0x777f903c, 0x76adf5e6, 0x75d31a61,
-  0x74ef0ebc, 0x7401e4c1,
-  0x730baeed, 0x720c8075, 0x71046d3e, 0x6ff389df, 0x6ed9eba1, 0x6db7a87a,
-  0x6c8cd70b, 0x6b598ea3,
-  0x6a1de737, 0x68d9f964, 0x678dde6e, 0x6639b03b, 0x64dd8950, 0x637984d4,
-  0x620dbe8b, 0x609a52d3,
-  0x5f1f5ea1, 0x5d9cff83, 0x5c13539b, 0x5a82799a, 0x58ea90c4, 0x574bb8e6,
-  0x55a6125c, 0x53f9be05,
-  0x5246dd49, 0x508d9211, 0x4ecdfec7, 0x4d084651, 0x4b3c8c12, 0x496af3e2,
-  0x4793a210, 0x45b6bb5e,
-  0x43d464fb, 0x41ecc484, 0x40000000, 0x3e0e3ddc, 0x3c17a4e8, 0x3a1c5c57,
-  0x381c8bb5, 0x36185aee,
-  0x340ff242, 0x32037a45, 0x2ff31bde, 0x2ddf0040, 0x2bc750e9, 0x29ac37a0,
-  0x278dde6e, 0x256c6f9f,
-  0x234815ba, 0x2120fb83, 0x1ef74bf3, 0x1ccb3237, 0x1a9cd9ac, 0x186c6ddd,
-  0x163a1a7e, 0x14060b68,
-  0x11d06c97, 0xf996a26, 0xd61304e, 0xb27eb5c, 0x8edc7b7, 0x6b2f1d2,
-  0x4779632, 0x23be165,
-
-
-};
-
-/**    
-* \par    
-* Cosine Table is generated from following loop    
-* 
for(i = 0; i < 360; i++)    
-* {    
-*    cosTable[i]= cos((i-180) * PI/180.0);    
-* } 
   
-* \par    
-* Convert above coefficients to fixed point 1.31 format.    
-*/
-static const int32_t cosTableQ31[360] = {
-  0x80000000, 0x8004fda0, 0x8013f61d, 0x802ce84c, 0x804fd23a, 0x807cb130,
-  0x80b381ac, 0x80f43f69,
-  0x813ee55b, 0x81936daf, 0x81f1d1ce, 0x825a0a5b, 0x82cc0f36, 0x8347d77b,
-  0x83cd5982, 0x845c8ae3,
-  0x84f56073, 0x8597ce46, 0x8643c7b3, 0x86f93f50, 0x87b826f7, 0x88806fc4,
-  0x89520a1a, 0x8a2ce59f,
-  0x8b10f144, 0x8bfe1b3f, 0x8cf45113, 0x8df37f8b, 0x8efb92c2, 0x900c7621,
-  0x9126145f, 0x92485786,
-  0x937328f5, 0x94a6715d, 0x95e218c9, 0x9726069c, 0x98722192, 0x99c64fc5,
-  0x9b2276b0, 0x9c867b2c,
-  0x9df24175, 0x9f65ad2d, 0xa0e0a15f, 0xa263007d, 0xa3ecac65, 0xa57d8666,
-  0xa7156f3c, 0xa8b4471a,
-  0xaa59eda4, 0xac0641fb, 0xadb922b7, 0xaf726def, 0xb1320139, 0xb2f7b9af,
-  0xb4c373ee, 0xb6950c1e,
-  0xb86c5df0, 0xba4944a2, 0xbc2b9b05, 0xbe133b7c, 0xc0000000, 0xc1f1c224,
-  0xc3e85b18, 0xc5e3a3a9,
-  0xc7e3744b, 0xc9e7a512, 0xcbf00dbe, 0xcdfc85bb, 0xd00ce422, 0xd220ffc0,
-  0xd438af17, 0xd653c860,
-  0xd8722192, 0xda939061, 0xdcb7ea46, 0xdedf047d, 0xe108b40d, 0xe334cdc9,
-  0xe5632654, 0xe7939223,
-  0xe9c5e582, 0xebf9f498, 0xee2f9369, 0xf06695da, 0xf29ecfb2, 0xf4d814a4,
-  0xf7123849, 0xf94d0e2e,
-  0xfb8869ce, 0xfdc41e9b, 0x0, 0x23be165, 0x4779632, 0x6b2f1d2, 0x8edc7b7,
-  0xb27eb5c,
-  0xd61304e, 0xf996a26, 0x11d06c97, 0x14060b68, 0x163a1a7e, 0x186c6ddd,
-  0x1a9cd9ac, 0x1ccb3237,
-  0x1ef74bf3, 0x2120fb83, 0x234815ba, 0x256c6f9f, 0x278dde6e, 0x29ac37a0,
-  0x2bc750e9, 0x2ddf0040,
-  0x2ff31bde, 0x32037a45, 0x340ff242, 0x36185aee, 0x381c8bb5, 0x3a1c5c57,
-  0x3c17a4e8, 0x3e0e3ddc,
-  0x40000000, 0x41ecc484, 0x43d464fb, 0x45b6bb5e, 0x4793a210, 0x496af3e2,
-  0x4b3c8c12, 0x4d084651,
-  0x4ecdfec7, 0x508d9211, 0x5246dd49, 0x53f9be05, 0x55a6125c, 0x574bb8e6,
-  0x58ea90c4, 0x5a82799a,
-  0x5c13539b, 0x5d9cff83, 0x5f1f5ea1, 0x609a52d3, 0x620dbe8b, 0x637984d4,
-  0x64dd8950, 0x6639b03b,
-  0x678dde6e, 0x68d9f964, 0x6a1de737, 0x6b598ea3, 0x6c8cd70b, 0x6db7a87a,
-  0x6ed9eba1, 0x6ff389df,
-  0x71046d3e, 0x720c8075, 0x730baeed, 0x7401e4c1, 0x74ef0ebc, 0x75d31a61,
-  0x76adf5e6, 0x777f903c,
-  0x7847d909, 0x7906c0b0, 0x79bc384d, 0x7a6831ba, 0x7b0a9f8d, 0x7ba3751d,
-  0x7c32a67e, 0x7cb82885,
-  0x7d33f0ca, 0x7da5f5a5, 0x7e0e2e32, 0x7e6c9251, 0x7ec11aa5, 0x7f0bc097,
-  0x7f4c7e54, 0x7f834ed0,
-  0x7fb02dc6, 0x7fd317b4, 0x7fec09e3, 0x7ffb0260, 0x7fffffff, 0x7ffb0260,
-  0x7fec09e3, 0x7fd317b4,
-  0x7fb02dc6, 0x7f834ed0, 0x7f4c7e54, 0x7f0bc097, 0x7ec11aa5, 0x7e6c9251,
-  0x7e0e2e32, 0x7da5f5a5,
-  0x7d33f0ca, 0x7cb82885, 0x7c32a67e, 0x7ba3751d, 0x7b0a9f8d, 0x7a6831ba,
-  0x79bc384d, 0x7906c0b0,
-  0x7847d909, 0x777f903c, 0x76adf5e6, 0x75d31a61, 0x74ef0ebc, 0x7401e4c1,
-  0x730baeed, 0x720c8075,
-  0x71046d3e, 0x6ff389df, 0x6ed9eba1, 0x6db7a87a, 0x6c8cd70b, 0x6b598ea3,
-  0x6a1de737, 0x68d9f964,
-  0x678dde6e, 0x6639b03b, 0x64dd8950, 0x637984d4, 0x620dbe8b, 0x609a52d3,
-  0x5f1f5ea1, 0x5d9cff83,
-  0x5c13539b, 0x5a82799a, 0x58ea90c4, 0x574bb8e6, 0x55a6125c, 0x53f9be05,
-  0x5246dd49, 0x508d9211,
-  0x4ecdfec7, 0x4d084651, 0x4b3c8c12, 0x496af3e2, 0x4793a210, 0x45b6bb5e,
-  0x43d464fb, 0x41ecc484,
-  0x40000000, 0x3e0e3ddc, 0x3c17a4e8, 0x3a1c5c57, 0x381c8bb5, 0x36185aee,
-  0x340ff242, 0x32037a45,
-  0x2ff31bde, 0x2ddf0040, 0x2bc750e9, 0x29ac37a0, 0x278dde6e, 0x256c6f9f,
-  0x234815ba, 0x2120fb83,
-  0x1ef74bf3, 0x1ccb3237, 0x1a9cd9ac, 0x186c6ddd, 0x163a1a7e, 0x14060b68,
-  0x11d06c97, 0xf996a26,
-  0xd61304e, 0xb27eb5c, 0x8edc7b7, 0x6b2f1d2, 0x4779632, 0x23be165, 0x0,
-  0xfdc41e9b,
-  0xfb8869ce, 0xf94d0e2e, 0xf7123849, 0xf4d814a4, 0xf29ecfb2, 0xf06695da,
-  0xee2f9369, 0xebf9f498,
-  0xe9c5e582, 0xe7939223, 0xe5632654, 0xe334cdc9, 0xe108b40d, 0xdedf047d,
-  0xdcb7ea46, 0xda939061,
-  0xd8722192, 0xd653c860, 0xd438af17, 0xd220ffc0, 0xd00ce422, 0xcdfc85bb,
-  0xcbf00dbe, 0xc9e7a512,
-  0xc7e3744b, 0xc5e3a3a9, 0xc3e85b18, 0xc1f1c224, 0xc0000000, 0xbe133b7c,
-  0xbc2b9b05, 0xba4944a2,
-  0xb86c5df0, 0xb6950c1e, 0xb4c373ee, 0xb2f7b9af, 0xb1320139, 0xaf726def,
-  0xadb922b7, 0xac0641fb,
-  0xaa59eda4, 0xa8b4471a, 0xa7156f3c, 0xa57d8666, 0xa3ecac65, 0xa263007d,
-  0xa0e0a15f, 0x9f65ad2d,
-  0x9df24175, 0x9c867b2c, 0x9b2276b0, 0x99c64fc5, 0x98722192, 0x9726069c,
-  0x95e218c9, 0x94a6715d,
-  0x937328f5, 0x92485786, 0x9126145f, 0x900c7621, 0x8efb92c2, 0x8df37f8b,
-  0x8cf45113, 0x8bfe1b3f,
-  0x8b10f144, 0x8a2ce59f, 0x89520a1a, 0x88806fc4, 0x87b826f7, 0x86f93f50,
-  0x8643c7b3, 0x8597ce46,
-  0x84f56073, 0x845c8ae3, 0x83cd5982, 0x8347d77b, 0x82cc0f36, 0x825a0a5b,
-  0x81f1d1ce, 0x81936daf,
-  0x813ee55b, 0x80f43f69, 0x80b381ac, 0x807cb130, 0x804fd23a, 0x802ce84c,
-  0x8013f61d, 0x8004fda0,
-
-};
-
-
-/**    
- * @brief  Q31 sin_cos function.   
- * @param[in]  theta    scaled input value in degrees    
- * @param[out] *pSinVal points to the processed sine output.    
- * @param[out] *pCosVal points to the processed cosine output.    
- * @return none.   
- *    
- * The Q31 input value is in the range [-1 0.999999] and is mapped to a degree value in the range [-180 179].   
- *    
- */
-
-
-void arm_sin_cos_q31(
-  q31_t theta,
-  q31_t * pSinVal,
-  q31_t * pCosVal)
-{
-  q31_t x0;                                      /* Nearest input value */
-  q31_t y0, y1;                                  /* Nearest output values */
-  q31_t xSpacing = INPUT_SPACING;                /* Spaing between inputs */
-  int32_t i;                                     /* Index */
-  q31_t oneByXSpacing;                           /* 1/ xSpacing value */
-  q31_t out;                                     /* temporary variable */
-  uint32_t sign_bits;                            /* No.of sign bits */
-  uint32_t firstX = 0x80000000;                  /* First X value */
-
-  /* Calculation of index */
-  i = ((uint32_t) theta - firstX) / (uint32_t) xSpacing;
-
-  /* Checking min and max index of table */
-  if(i < 0)
-  {
-    i = 0;
-  }
-  else if(i >= 359)
-  {
-    i = 358;
-  }
-
-  /* Calculation of first nearest input value */
-  x0 = (q31_t) firstX + ((q31_t) i * xSpacing);
-
-  /* Reading nearest sine output values from table */
-  y0 = sinTableQ31[i];
-  y1 = sinTableQ31[i + 1u];
-
-  /* Calculation of 1/(x1-x0) */
-  /* (x1-x0) is xSpacing which is fixed value */
-  sign_bits = 8u;
-  oneByXSpacing = 0x5A000000;
-
-  /* Calculation of (theta - x0)/(x1-x0) */
-  out =
-    (((q31_t) (((q63_t) (theta - x0) * oneByXSpacing) >> 32)) << sign_bits);
-
-  /* Calculation of y0 + (y1 - y0) * ((theta - x0)/(x1-x0)) */
-  *pSinVal = __QADD(y0, ((q31_t) (((q63_t) (y1 - y0) * out) >> 30)));
-
-  /* Reading nearest cosine output values from table */
-  y0 = cosTableQ31[i];
-  y1 = cosTableQ31[i + 1u];
-
-  /* Calculation of y0 + (y1 - y0) * ((theta - x0)/(x1-x0)) */
-  *pCosVal = __QADD(y0, ((q31_t) (((q63_t) (y1 - y0) * out) >> 30)));
-
-}
-
-/**    
- * @} end of SinCos group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_cos_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_cos_f32.c
deleted file mode 100644
index bee758bff..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_cos_f32.c
+++ /dev/null
@@ -1,280 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_cos_f32.c    
-*    
-* Description:	Fast cosine calculation for floating-point values.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-/**    
- * @ingroup groupFastMath    
- */
-
-/**    
- * @defgroup cos Cosine    
- *    
- * Computes the trigonometric cosine function using a combination of table lookup   
- * and cubic interpolation.  There are separate functions for   
- * Q15, Q31, and floating-point data types.   
- * The input to the floating-point version is in radians while the   
- * fixed-point Q15 and Q31 have a scaled input with the range   
- * [0 +0.9999] mapping to [0 2*pi), Where range excludes 2*pi.   
- *   
- * The implementation is based on table lookup using 256 values together with cubic interpolation.   
- * The steps used are:   
- *  -# Calculation of the nearest integer table index   
- *  -# Fetch the four table values a, b, c, and d     
- *  -# Compute the fractional portion (fract) of the table index.   
- *  -# Calculation of wa, wb, wc, wd    
- *  -# The final result equals a*wa + b*wb + c*wc + d*wd   
- *   
- * where   
- * 
    
- *    a=Table[index-1];    
- *    b=Table[index+0];    
- *    c=Table[index+1];    
- *    d=Table[index+2];    
- * 
   
- * and   
- * 
    
- *    wa=-(1/6)*fract.^3 + (1/2)*fract.^2 - (1/3)*fract;    
- *    wb=(1/2)*fract.^3 - fract.^2 - (1/2)*fract + 1;    
- *    wc=-(1/2)*fract.^3+(1/2)*fract.^2+fract;    
- *    wd=(1/6)*fract.^3 - (1/6)*fract;    
- * 
    
- */
-
- /**    
- * @addtogroup cos    
- * @{    
- */
-
-
-/**    
-* \par    
-* Example code for Generation of Cos Table:   
-* tableSize = 256;    
-* 
for(n = -1; n < (tableSize + 2); n++)    
-* {    
-*	cosTable[n+1]= cos(2*pi*n/tableSize);    
-* } 
    
-* where pi value is  3.14159265358979    
-*/
-
-static const float32_t cosTable[260] = {
-  0.999698817729949950f, 1.000000000000000000f, 0.999698817729949950f,
-  0.998795449733734130f, 0.997290432453155520f, 0.995184719562530520f,
-  0.992479562759399410f, 0.989176511764526370f,
-  0.985277652740478520f, 0.980785250663757320f, 0.975702106952667240f,
-  0.970031261444091800f, 0.963776051998138430f, 0.956940352916717530f,
-  0.949528157711029050f, 0.941544055938720700f,
-  0.932992815971374510f, 0.923879504203796390f, 0.914209783077239990f,
-  0.903989315032958980f, 0.893224298954010010f, 0.881921291351318360f,
-  0.870086967945098880f, 0.857728600502014160f,
-  0.844853579998016360f, 0.831469595432281490f, 0.817584812641143800f,
-  0.803207516670227050f, 0.788346409797668460f, 0.773010432720184330f,
-  0.757208824157714840f, 0.740951120853424070f,
-  0.724247097969055180f, 0.707106769084930420f, 0.689540565013885500f,
-  0.671558976173400880f, 0.653172850608825680f, 0.634393274784088130f,
-  0.615231573581695560f, 0.595699310302734380f,
-  0.575808167457580570f, 0.555570244789123540f, 0.534997642040252690f,
-  0.514102756977081300f, 0.492898195981979370f, 0.471396744251251220f,
-  0.449611335992813110f, 0.427555084228515630f,
-  0.405241310596466060f, 0.382683426141738890f, 0.359895050525665280f,
-  0.336889863014221190f, 0.313681751489639280f, 0.290284663438797000f,
-  0.266712754964828490f, 0.242980182170867920f,
-  0.219101235270500180f, 0.195090323686599730f, 0.170961886644363400f,
-  0.146730467677116390f, 0.122410677373409270f, 0.098017141222953796f,
-  0.073564566671848297f, 0.049067676067352295f,
-  0.024541229009628296f, 0.000000000000000061f, -0.024541229009628296f,
-  -0.049067676067352295f, -0.073564566671848297f, -0.098017141222953796f,
-  -0.122410677373409270f, -0.146730467677116390f,
-  -0.170961886644363400f, -0.195090323686599730f, -0.219101235270500180f,
-  -0.242980182170867920f, -0.266712754964828490f, -0.290284663438797000f,
-  -0.313681751489639280f, -0.336889863014221190f,
-  -0.359895050525665280f, -0.382683426141738890f, -0.405241310596466060f,
-  -0.427555084228515630f, -0.449611335992813110f, -0.471396744251251220f,
-  -0.492898195981979370f, -0.514102756977081300f,
-  -0.534997642040252690f, -0.555570244789123540f, -0.575808167457580570f,
-  -0.595699310302734380f, -0.615231573581695560f, -0.634393274784088130f,
-  -0.653172850608825680f, -0.671558976173400880f,
-  -0.689540565013885500f, -0.707106769084930420f, -0.724247097969055180f,
-  -0.740951120853424070f, -0.757208824157714840f, -0.773010432720184330f,
-  -0.788346409797668460f, -0.803207516670227050f,
-  -0.817584812641143800f, -0.831469595432281490f, -0.844853579998016360f,
-  -0.857728600502014160f, -0.870086967945098880f, -0.881921291351318360f,
-  -0.893224298954010010f, -0.903989315032958980f,
-  -0.914209783077239990f, -0.923879504203796390f, -0.932992815971374510f,
-  -0.941544055938720700f, -0.949528157711029050f, -0.956940352916717530f,
-  -0.963776051998138430f, -0.970031261444091800f,
-  -0.975702106952667240f, -0.980785250663757320f, -0.985277652740478520f,
-  -0.989176511764526370f, -0.992479562759399410f, -0.995184719562530520f,
-  -0.997290432453155520f, -0.998795449733734130f,
-  -0.999698817729949950f, -1.000000000000000000f, -0.999698817729949950f,
-  -0.998795449733734130f, -0.997290432453155520f, -0.995184719562530520f,
-  -0.992479562759399410f, -0.989176511764526370f,
-  -0.985277652740478520f, -0.980785250663757320f, -0.975702106952667240f,
-  -0.970031261444091800f, -0.963776051998138430f, -0.956940352916717530f,
-  -0.949528157711029050f, -0.941544055938720700f,
-  -0.932992815971374510f, -0.923879504203796390f, -0.914209783077239990f,
-  -0.903989315032958980f, -0.893224298954010010f, -0.881921291351318360f,
-  -0.870086967945098880f, -0.857728600502014160f,
-  -0.844853579998016360f, -0.831469595432281490f, -0.817584812641143800f,
-  -0.803207516670227050f, -0.788346409797668460f, -0.773010432720184330f,
-  -0.757208824157714840f, -0.740951120853424070f,
-  -0.724247097969055180f, -0.707106769084930420f, -0.689540565013885500f,
-  -0.671558976173400880f, -0.653172850608825680f, -0.634393274784088130f,
-  -0.615231573581695560f, -0.595699310302734380f,
-  -0.575808167457580570f, -0.555570244789123540f, -0.534997642040252690f,
-  -0.514102756977081300f, -0.492898195981979370f, -0.471396744251251220f,
-  -0.449611335992813110f, -0.427555084228515630f,
-  -0.405241310596466060f, -0.382683426141738890f, -0.359895050525665280f,
-  -0.336889863014221190f, -0.313681751489639280f, -0.290284663438797000f,
-  -0.266712754964828490f, -0.242980182170867920f,
-  -0.219101235270500180f, -0.195090323686599730f, -0.170961886644363400f,
-  -0.146730467677116390f, -0.122410677373409270f, -0.098017141222953796f,
-  -0.073564566671848297f, -0.049067676067352295f,
-  -0.024541229009628296f, -0.000000000000000184f, 0.024541229009628296f,
-  0.049067676067352295f, 0.073564566671848297f, 0.098017141222953796f,
-  0.122410677373409270f, 0.146730467677116390f,
-  0.170961886644363400f, 0.195090323686599730f, 0.219101235270500180f,
-  0.242980182170867920f, 0.266712754964828490f, 0.290284663438797000f,
-  0.313681751489639280f, 0.336889863014221190f,
-  0.359895050525665280f, 0.382683426141738890f, 0.405241310596466060f,
-  0.427555084228515630f, 0.449611335992813110f, 0.471396744251251220f,
-  0.492898195981979370f, 0.514102756977081300f,
-  0.534997642040252690f, 0.555570244789123540f, 0.575808167457580570f,
-  0.595699310302734380f, 0.615231573581695560f, 0.634393274784088130f,
-  0.653172850608825680f, 0.671558976173400880f,
-  0.689540565013885500f, 0.707106769084930420f, 0.724247097969055180f,
-  0.740951120853424070f, 0.757208824157714840f, 0.773010432720184330f,
-  0.788346409797668460f, 0.803207516670227050f,
-  0.817584812641143800f, 0.831469595432281490f, 0.844853579998016360f,
-  0.857728600502014160f, 0.870086967945098880f, 0.881921291351318360f,
-  0.893224298954010010f, 0.903989315032958980f,
-  0.914209783077239990f, 0.923879504203796390f, 0.932992815971374510f,
-  0.941544055938720700f, 0.949528157711029050f, 0.956940352916717530f,
-  0.963776051998138430f, 0.970031261444091800f,
-  0.975702106952667240f, 0.980785250663757320f, 0.985277652740478520f,
-  0.989176511764526370f, 0.992479562759399410f, 0.995184719562530520f,
-  0.997290432453155520f, 0.998795449733734130f,
-  0.999698817729949950f, 1.000000000000000000f, 0.999698817729949950f,
-  0.998795449733734130f
-};
-
-/**   
- * @brief  Fast approximation to the trigonometric cosine function for floating-point data.   
- * @param[in] x input value in radians.   
- * @return cos(x).   
- */
-
-
-float32_t arm_cos_f32(
-  float32_t x)
-{
-  float32_t cosVal, fract, in;
-  int32_t index;
-  uint32_t tableSize = (uint32_t) TABLE_SIZE;
-  float32_t wa, wb, wc, wd;
-  float32_t a, b, c, d;
-  float32_t *tablePtr;
-  int32_t n;
-  float32_t fractsq, fractby2, fractby6, fractby3, fractsqby2;
-  float32_t oneminusfractby2;
-  float32_t frby2xfrsq, frby6xfrsq;
-
-  /* input x is in radians */
-  /* Scale the input to [0 1] range from [0 2*PI] , divide input by 2*pi */
-  in = x * 0.159154943092f;
-
-  /* Calculation of floor value of input */
-  n = (int32_t) in;
-
-  /* Make negative values towards -infinity */
-  if(x < 0.0f)
-  {
-    n = n - 1;
-  }
-
-  /* Map input value to [0 1] */
-  in = in - (float32_t) n;
-
-  /* Calculation of index of the table */
-  index = (uint32_t) (tableSize * in);
-
-  /* fractional value calculation */
-  fract = ((float32_t) tableSize * in) - (float32_t) index;
-
-  /* Checking min and max index of table */
-  if(index < 0)
-  {
-    index = 0;
-  }
-  else if(index > 256)
-  {
-    index = 256;
-  }
-
-  /* Initialise table pointer */
-  tablePtr = (float32_t *) & cosTable[index];
-
-  /* Read four nearest values of input value from the cos table */
-  a = tablePtr[0];
-  b = tablePtr[1];
-  c = tablePtr[2];
-  d = tablePtr[3];
-
-  /* Cubic interpolation process */
-  fractsq = fract * fract;
-  fractby2 = fract * 0.5f;
-  fractby6 = fract * 0.166666667f;
-  fractby3 = fract * 0.3333333333333f;
-  fractsqby2 = fractsq * 0.5f;
-  frby2xfrsq = (fractby2) * fractsq;
-  frby6xfrsq = (fractby6) * fractsq;
-  oneminusfractby2 = 1.0f - fractby2;
-  wb = fractsqby2 - fractby3;
-  wc = (fractsqby2 + fract);
-  wa = wb - frby6xfrsq;
-  wb = frby2xfrsq - fractsq;
-  cosVal = wa * a;
-  wc = wc - frby2xfrsq;
-  wd = (frby6xfrsq) - fractby6;
-  wb = wb + oneminusfractby2;
-
-  /* Calculate cos value */
-  cosVal = (cosVal + (b * wb)) + ((c * wc) + (d * wd));
-
-  /* Return the output value */
-  return (cosVal);
-
-}
-
-/**    
- * @} end of cos group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_cos_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_cos_q15.c
deleted file mode 100644
index 0edf68b89..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_cos_q15.c
+++ /dev/null
@@ -1,205 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_cos_q15.c    
-*    
-* Description:	Fast cosine calculation for Q15 values.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFastMath    
- */
-
- /**    
- * @addtogroup cos    
- * @{    
- */
-
-/**   
-* \par    
-* Table Values are in Q15(1.15 Fixed point format) and generation is done in three steps    
-* \par    
-* First Generate cos values in floating point:    
-* tableSize = 256;     
-* 
for(n = -1; n < (tableSize + 1); n++)    
-* {    
-*	cosTable[n+1]= cos(2*pi*n/tableSize);    
-* }
   
-* where pi value is  3.14159265358979    
-* \par    
-* Secondly Convert Floating point to Q15(Fixed point):    
-*	(cosTable[i] * pow(2, 15))    
-* \par    
-* Finally Rounding to nearest integer is done    
-* 	cosTable[i] += (cosTable[i] > 0 ? 0.5 :-0.5);    
-*/
-
-static const q15_t cosTableQ15[259] = {
-  0x7ff6, 0x7fff, 0x7ff6, 0x7fd9, 0x7fa7, 0x7f62, 0x7f0a, 0x7e9d,
-  0x7e1e, 0x7d8a, 0x7ce4, 0x7c2a, 0x7b5d, 0x7a7d, 0x798a, 0x7885,
-  0x776c, 0x7642, 0x7505, 0x73b6, 0x7255, 0x70e3, 0x6f5f, 0x6dca,
-  0x6c24, 0x6a6e, 0x68a7, 0x66d0, 0x64e9, 0x62f2, 0x60ec, 0x5ed7,
-  0x5cb4, 0x5a82, 0x5843, 0x55f6, 0x539b, 0x5134, 0x4ec0, 0x4c40,
-  0x49b4, 0x471d, 0x447b, 0x41ce, 0x3f17, 0x3c57, 0x398d, 0x36ba,
-  0x33df, 0x30fc, 0x2e11, 0x2b1f, 0x2827, 0x2528, 0x2224, 0x1f1a,
-  0x1c0c, 0x18f9, 0x15e2, 0x12c8, 0xfab, 0xc8c, 0x96b, 0x648,
-  0x324, 0x0, 0xfcdc, 0xf9b8, 0xf695, 0xf374, 0xf055, 0xed38,
-  0xea1e, 0xe707, 0xe3f4, 0xe0e6, 0xdddc, 0xdad8, 0xd7d9, 0xd4e1,
-  0xd1ef, 0xcf04, 0xcc21, 0xc946, 0xc673, 0xc3a9, 0xc0e9, 0xbe32,
-  0xbb85, 0xb8e3, 0xb64c, 0xb3c0, 0xb140, 0xaecc, 0xac65, 0xaa0a,
-  0xa7bd, 0xa57e, 0xa34c, 0xa129, 0x9f14, 0x9d0e, 0x9b17, 0x9930,
-  0x9759, 0x9592, 0x93dc, 0x9236, 0x90a1, 0x8f1d, 0x8dab, 0x8c4a,
-  0x8afb, 0x89be, 0x8894, 0x877b, 0x8676, 0x8583, 0x84a3, 0x83d6,
-  0x831c, 0x8276, 0x81e2, 0x8163, 0x80f6, 0x809e, 0x8059, 0x8027,
-  0x800a, 0x8000, 0x800a, 0x8027, 0x8059, 0x809e, 0x80f6, 0x8163,
-  0x81e2, 0x8276, 0x831c, 0x83d6, 0x84a3, 0x8583, 0x8676, 0x877b,
-  0x8894, 0x89be, 0x8afb, 0x8c4a, 0x8dab, 0x8f1d, 0x90a1, 0x9236,
-  0x93dc, 0x9592, 0x9759, 0x9930, 0x9b17, 0x9d0e, 0x9f14, 0xa129,
-  0xa34c, 0xa57e, 0xa7bd, 0xaa0a, 0xac65, 0xaecc, 0xb140, 0xb3c0,
-  0xb64c, 0xb8e3, 0xbb85, 0xbe32, 0xc0e9, 0xc3a9, 0xc673, 0xc946,
-  0xcc21, 0xcf04, 0xd1ef, 0xd4e1, 0xd7d9, 0xdad8, 0xdddc, 0xe0e6,
-  0xe3f4, 0xe707, 0xea1e, 0xed38, 0xf055, 0xf374, 0xf695, 0xf9b8,
-  0xfcdc, 0x0, 0x324, 0x648, 0x96b, 0xc8c, 0xfab, 0x12c8,
-  0x15e2, 0x18f9, 0x1c0c, 0x1f1a, 0x2224, 0x2528, 0x2827, 0x2b1f,
-  0x2e11, 0x30fc, 0x33df, 0x36ba, 0x398d, 0x3c57, 0x3f17, 0x41ce,
-  0x447b, 0x471d, 0x49b4, 0x4c40, 0x4ec0, 0x5134, 0x539b, 0x55f6,
-  0x5843, 0x5a82, 0x5cb4, 0x5ed7, 0x60ec, 0x62f2, 0x64e9, 0x66d0,
-  0x68a7, 0x6a6e, 0x6c24, 0x6dca, 0x6f5f, 0x70e3, 0x7255, 0x73b6,
-  0x7505, 0x7642, 0x776c, 0x7885, 0x798a, 0x7a7d, 0x7b5d, 0x7c2a,
-  0x7ce4, 0x7d8a, 0x7e1e, 0x7e9d, 0x7f0a, 0x7f62, 0x7fa7, 0x7fd9,
-  0x7ff6, 0x7fff, 0x7ff6
-};
-
-
-/**   
- * @brief Fast approximation to the trigonometric cosine function for Q15 data.   
- * @param[in] x Scaled input value in radians.   
- * @return  cos(x).   
- *   
- * The Q15 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*pi), Here range excludes 2*pi.   
- */
-
-q15_t arm_cos_q15(
-  q15_t x)
-{
-  q31_t cosVal;                                  /* Temporary variable for output */
-  q15_t *tablePtr;                               /* Pointer to table */
-  q15_t in, in2;                                 /* Temporary variables for input */
-  q31_t wa, wb, wc, wd;                          /* Cubic interpolation coefficients */
-  q15_t a, b, c, d;                              /* Four nearest output values */
-  q15_t fract, fractCube, fractSquare;           /* Variables for fractional value */
-  q15_t oneBy6 = 0x1555;                         /* Fixed point value of 1/6 */
-  q15_t tableSpacing = TABLE_SPACING_Q15;        /* Table spacing */
-  int32_t index;                                 /* Index variable */
-
-  in = x;
-
-  /* Calculate the nearest index */
-  index = (int32_t) in / tableSpacing;
-
-  /* Calculate the nearest value of input */
-  in2 = (q15_t) index *tableSpacing;
-
-  /* Calculation of fractional value */
-  fract = (in - in2) << 8;
-
-  /* fractSquare = fract * fract */
-  fractSquare = (q15_t) ((fract * fract) >> 15);
-
-  /* fractCube = fract * fract * fract */
-  fractCube = (q15_t) ((fractSquare * fract) >> 15);
-
-  /* Checking min and max index of table */
-  if(index < 0)
-  {
-    index = 0;
-  }
-  else if(index > 256)
-  {
-    index = 256;
-  }
-
-  /* Initialise table pointer */
-  tablePtr = (q15_t *) & cosTableQ15[index];
-
-  /* Cubic interpolation process */
-  /* Calculation of wa */
-  /* wa = -(oneBy6)*fractCube + (fractSquare >> 1u) - (0x2AAA)*fract; */
-  wa = (q31_t) oneBy6 *fractCube;
-  wa += (q31_t) 0x2AAA *fract;
-  wa = -(wa >> 15);
-  wa += (fractSquare >> 1u);
-
-  /* Read first nearest value of output from the cos table */
-  a = *tablePtr++;
-
-  /* cosVal = a * wa */
-  cosVal = a * wa;
-
-  /* Calculation of wb */
-  wb = (((fractCube >> 1u) - fractSquare) - (fract >> 1u)) + 0x7FFF;
-
-  /* Read second nearest value of output from the cos table */
-  b = *tablePtr++;
-
-  /*      cosVal += b*wb */
-  cosVal += b * wb;
-
-  /* Calculation of wc */
-  wc = -(q31_t) fractCube + fractSquare;
-  wc = (wc >> 1u) + fract;
-
-  /* Read third nearest value of output from the cos table */
-  c = *tablePtr++;
-
-  /* cosVal += c*wc */
-  cosVal += c * wc;
-
-  /* Calculation of wd */
-  /* wd = (oneBy6)*fractCube - (oneBy6)*fract; */
-  fractCube = fractCube - fract;
-  wd = ((q15_t) (((q31_t) oneBy6 * fractCube) >> 15));
-
-  /* Read fourth nearest value of output from the cos table */
-  d = *tablePtr++;
-
-  /* cosVal += d*wd; */
-  cosVal += d * wd;
-
-  /* Convert output value in 1.15(q15) format and saturate */
-  cosVal = __SSAT((cosVal >> 15), 16);
-
-  /* Return the output value in 1.15(q15) format */
-  return ((q15_t) cosVal);
-
-}
-
-/**    
- * @} end of cos group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_cos_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_cos_q31.c
deleted file mode 100644
index 1326215fe..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_cos_q31.c
+++ /dev/null
@@ -1,239 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_cos_q31.c    
-*    
-* Description:	Fast cosine calculation for Q31 values.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFastMath    
- */
-
- /**    
- * @addtogroup cos    
- * @{    
- */
-
-/**    
- * \par    
- * Table Values are in Q31(1.31 Fixed point format) and generation is done in three steps    
- * First Generate cos values in floating point:    
- * tableSize = 256;      
- * 
for(n = -1; n < (tableSize + 1); n++)    
- * {    
- *	cosTable[n+1]= cos(2*pi*n/tableSize);    
- * } 
     
- * where pi value is  3.14159265358979    
- * \par    
- * Secondly Convert Floating point to Q31(Fixed point):    
- *	(cosTable[i] * pow(2, 31))    
- * \par    
- * Finally Rounding to nearest integer is done    
- * 	cosTable[i] += (cosTable[i] > 0 ? 0.5 :-0.5);    
- */
-
-
-static const q31_t cosTableQ31[259] = {
-  0x7ff62182, 0x7fffffff, 0x7ff62182, 0x7fd8878e, 0x7fa736b4, 0x7f62368f,
-  0x7f0991c4, 0x7e9d55fc,
-  0x7e1d93ea, 0x7d8a5f40, 0x7ce3ceb2, 0x7c29fbee, 0x7b5d039e, 0x7a7d055b,
-  0x798a23b1, 0x78848414,
-  0x776c4edb, 0x7641af3d, 0x7504d345, 0x73b5ebd1, 0x72552c85, 0x70e2cbc6,
-  0x6f5f02b2, 0x6dca0d14,
-  0x6c242960, 0x6a6d98a4, 0x68a69e81, 0x66cf8120, 0x64e88926, 0x62f201ac,
-  0x60ec3830, 0x5ed77c8a,
-  0x5cb420e0, 0x5a82799a, 0x5842dd54, 0x55f5a4d2, 0x539b2af0, 0x5133cc94,
-  0x4ebfe8a5, 0x4c3fdff4,
-  0x49b41533, 0x471cece7, 0x447acd50, 0x41ce1e65, 0x3f1749b8, 0x3c56ba70,
-  0x398cdd32, 0x36ba2014,
-  0x33def287, 0x30fbc54d, 0x2e110a62, 0x2b1f34eb, 0x2826b928, 0x25280c5e,
-  0x2223a4c5, 0x1f19f97b,
-  0x1c0b826a, 0x18f8b83c, 0x15e21445, 0x12c8106f, 0xfab272b, 0xc8bd35e,
-  0x96a9049, 0x647d97c,
-  0x3242abf, 0x0, 0xfcdbd541, 0xf9b82684, 0xf6956fb7, 0xf3742ca2, 0xf054d8d5,
-  0xed37ef91,
-  0xea1debbb, 0xe70747c4, 0xe3f47d96, 0xe0e60685, 0xdddc5b3b, 0xdad7f3a2,
-  0xd7d946d8, 0xd4e0cb15,
-  0xd1eef59e, 0xcf043ab3, 0xcc210d79, 0xc945dfec, 0xc67322ce, 0xc3a94590,
-  0xc0e8b648, 0xbe31e19b,
-  0xbb8532b0, 0xb8e31319, 0xb64beacd, 0xb3c0200c, 0xb140175b, 0xaecc336c,
-  0xac64d510, 0xaa0a5b2e,
-  0xa7bd22ac, 0xa57d8666, 0xa34bdf20, 0xa1288376, 0x9f13c7d0, 0x9d0dfe54,
-  0x9b1776da, 0x99307ee0,
-  0x9759617f, 0x9592675c, 0x93dbd6a0, 0x9235f2ec, 0x90a0fd4e, 0x8f1d343a,
-  0x8daad37b, 0x8c4a142f,
-  0x8afb2cbb, 0x89be50c3, 0x8893b125, 0x877b7bec, 0x8675dc4f, 0x8582faa5,
-  0x84a2fc62, 0x83d60412,
-  0x831c314e, 0x8275a0c0, 0x81e26c16, 0x8162aa04, 0x80f66e3c, 0x809dc971,
-  0x8058c94c, 0x80277872,
-  0x8009de7e, 0x80000000, 0x8009de7e, 0x80277872, 0x8058c94c, 0x809dc971,
-  0x80f66e3c, 0x8162aa04,
-  0x81e26c16, 0x8275a0c0, 0x831c314e, 0x83d60412, 0x84a2fc62, 0x8582faa5,
-  0x8675dc4f, 0x877b7bec,
-  0x8893b125, 0x89be50c3, 0x8afb2cbb, 0x8c4a142f, 0x8daad37b, 0x8f1d343a,
-  0x90a0fd4e, 0x9235f2ec,
-  0x93dbd6a0, 0x9592675c, 0x9759617f, 0x99307ee0, 0x9b1776da, 0x9d0dfe54,
-  0x9f13c7d0, 0xa1288376,
-  0xa34bdf20, 0xa57d8666, 0xa7bd22ac, 0xaa0a5b2e, 0xac64d510, 0xaecc336c,
-  0xb140175b, 0xb3c0200c,
-  0xb64beacd, 0xb8e31319, 0xbb8532b0, 0xbe31e19b, 0xc0e8b648, 0xc3a94590,
-  0xc67322ce, 0xc945dfec,
-  0xcc210d79, 0xcf043ab3, 0xd1eef59e, 0xd4e0cb15, 0xd7d946d8, 0xdad7f3a2,
-  0xdddc5b3b, 0xe0e60685,
-  0xe3f47d96, 0xe70747c4, 0xea1debbb, 0xed37ef91, 0xf054d8d5, 0xf3742ca2,
-  0xf6956fb7, 0xf9b82684,
-  0xfcdbd541, 0x0, 0x3242abf, 0x647d97c, 0x96a9049, 0xc8bd35e, 0xfab272b,
-  0x12c8106f,
-  0x15e21445, 0x18f8b83c, 0x1c0b826a, 0x1f19f97b, 0x2223a4c5, 0x25280c5e,
-  0x2826b928, 0x2b1f34eb,
-  0x2e110a62, 0x30fbc54d, 0x33def287, 0x36ba2014, 0x398cdd32, 0x3c56ba70,
-  0x3f1749b8, 0x41ce1e65,
-  0x447acd50, 0x471cece7, 0x49b41533, 0x4c3fdff4, 0x4ebfe8a5, 0x5133cc94,
-  0x539b2af0, 0x55f5a4d2,
-  0x5842dd54, 0x5a82799a, 0x5cb420e0, 0x5ed77c8a, 0x60ec3830, 0x62f201ac,
-  0x64e88926, 0x66cf8120,
-  0x68a69e81, 0x6a6d98a4, 0x6c242960, 0x6dca0d14, 0x6f5f02b2, 0x70e2cbc6,
-  0x72552c85, 0x73b5ebd1,
-  0x7504d345, 0x7641af3d, 0x776c4edb, 0x78848414, 0x798a23b1, 0x7a7d055b,
-  0x7b5d039e, 0x7c29fbee,
-  0x7ce3ceb2, 0x7d8a5f40, 0x7e1d93ea, 0x7e9d55fc, 0x7f0991c4, 0x7f62368f,
-  0x7fa736b4, 0x7fd8878e,
-  0x7ff62182, 0x7fffffff, 0x7ff62182
-};
-
-/**   
- * @brief Fast approximation to the trigonometric cosine function for Q31 data.   
- * @param[in] x Scaled input value in radians.   
- * @return  cos(x).   
- *   
- * The Q31 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*pi), Here range excludes 2*pi.   
- */
-
-q31_t arm_cos_q31(
-  q31_t x)
-{
-  q31_t cosVal, in, in2;                         /* Temporary variables for input, output */
-  q31_t wa, wb, wc, wd;                          /* Cubic interpolation coefficients */
-  q31_t a, b, c, d;                              /* Four nearest output values */
-  q31_t *tablePtr;                               /* Pointer to table */
-  q31_t fract, fractCube, fractSquare;           /* Temporary values for fractional values */
-  q31_t oneBy6 = 0x15555555;                     /* Fixed point value of 1/6 */
-  q31_t tableSpacing = TABLE_SPACING_Q31;        /* Table spacing */
-  q31_t temp;                                    /* Temporary variable for intermediate process */
-  int32_t index;                                 /* Index variable */
-
-  in = x;
-
-  /* Calculate the nearest index */
-  index = in / tableSpacing;
-
-  /* Calculate the nearest value of input */
-  in2 = ((q31_t) index) * tableSpacing;
-
-  /* Calculation of fractional value */
-  fract = (in - in2) << 8;
-
-  /* fractSquare = fract * fract */
-  fractSquare = ((q31_t) (((q63_t) fract * fract) >> 32));
-  fractSquare = fractSquare << 1;
-
-  /* fractCube = fract * fract * fract */
-  fractCube = ((q31_t) (((q63_t) fractSquare * fract) >> 32));
-  fractCube = fractCube << 1;
-
-  /* Checking min and max index of table */
-  if(index < 0)
-  {
-    index = 0;
-  }
-  else if(index > 256)
-  {
-    index = 256;
-  }
-
-  /* Initialise table pointer */
-  tablePtr = (q31_t *) & cosTableQ31[index];
-
-  /* Cubic interpolation process */
-  /* Calculation of wa */
-  /* wa = -(oneBy6)*fractCube + (fractSquare >> 1u) - (0x2AAAAAAA)*fract; */
-  wa = ((q31_t) (((q63_t) oneBy6 * fractCube) >> 32));
-  temp = 0x2AAAAAAA;
-  wa = (q31_t) ((((q63_t) wa << 32) + ((q63_t) temp * fract)) >> 32);
-  wa = -(wa << 1u);
-  wa += (fractSquare >> 1u);
-
-  /* Read first nearest value of output from the cos table */
-  a = *tablePtr++;
-
-  /* cosVal = a*wa */
-  cosVal = ((q31_t) (((q63_t) a * wa) >> 32));
-
-  /* q31(1.31) Fixed point value of 1 */
-  temp = 0x7FFFFFFF;
-
-  /* Calculation of wb */
-  wb = ((fractCube >> 1u) - (fractSquare + (fract >> 1u))) + temp;
-  /* Read second nearest value of output from the cos table */
-  b = *tablePtr++;
-
-  /*      cosVal += b*wb */
-  cosVal = (q31_t) ((((q63_t) cosVal << 32) + ((q63_t) b * (wb))) >> 32);
-
-  /* Calculation of wc */
-  wc = -fractCube + fractSquare;
-  wc = (wc >> 1u) + fract;
-  /* Read third nearest values of output value from the cos table */
-  c = *tablePtr++;
-
-  /*      cosVal += c*wc */
-  cosVal = (q31_t) ((((q63_t) cosVal << 32) + ((q63_t) c * (wc))) >> 32);
-
-  /* Calculation of wd */
-  /* wd = (oneBy6)*fractCube - (oneBy6)*fract; */
-  fractCube = fractCube - fract;
-  wd = ((q31_t) (((q63_t) oneBy6 * fractCube) >> 32));
-  wd = (wd << 1u);
-
-  /* Read fourth nearest value of output from the cos table */
-  d = *tablePtr++;
-
-  /* cosVal += d*wd; */
-  cosVal = (q31_t) ((((q63_t) cosVal << 32) + ((q63_t) d * (wd))) >> 32);
-
-
-  /* convert cosVal in 2.30 format to 1.31 format */
-  return (__QADD(cosVal, cosVal));
-
-}
-
-/**    
- * @} end of cos group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_sin_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_sin_f32.c
deleted file mode 100644
index bfe58d5c8..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_sin_f32.c
+++ /dev/null
@@ -1,281 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_sin_f32.c    
-*    
-* Description:	Fast sine calculation for floating-point values.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFastMath    
- */
-
-/**    
- * @defgroup sin Sine    
- *    
- * Computes the trigonometric sine function using a combination of table lookup   
- * and cubic interpolation.  There are separate functions for   
- * Q15, Q31, and floating-point data types.   
- * The input to the floating-point version is in radians while the   
- * fixed-point Q15 and Q31 have a scaled input with the range   
- * [0 +0.9999] mapping to [0 2*pi), Where range excludes 2*pi.   
- *   
- * The implementation is based on table lookup using 256 values together with cubic interpolation.   
- * The steps used are:   
- *  -# Calculation of the nearest integer table index   
- *  -# Fetch the four table values a, b, c, and d     
- *  -# Compute the fractional portion (fract) of the table index.   
- *  -# Calculation of wa, wb, wc, wd    
- *  -# The final result equals a*wa + b*wb + c*wc + d*wd   
- *   
- * where   
- * 
    
- *    a=Table[index-1];    
- *    b=Table[index+0];    
- *    c=Table[index+1];    
- *    d=Table[index+2];    
- * 
   
- * and   
- * 
    
- *    wa=-(1/6)*fract.^3 + (1/2)*fract.^2 - (1/3)*fract;    
- *    wb=(1/2)*fract.^3 - fract.^2 - (1/2)*fract + 1;    
- *    wc=-(1/2)*fract.^3+(1/2)*fract.^2+fract;    
- *    wd=(1/6)*fract.^3 - (1/6)*fract;    
- * 
    
- */
-
-/**    
- * @addtogroup sin    
- * @{    
- */
-
-
-/**   
- * \par    
- * Example code for Generation of Floating-point Sin Table:   
- * tableSize = 256;    
- * 
for(n = -1; n < (tableSize + 1); n++)    
- * {    
- *	sinTable[n+1]=sin(2*pi*n/tableSize);    
- * }
    
- * \par    
- * where pi value is  3.14159265358979    
- */
-
-static const float32_t sinTable[259] = {
-  -0.024541229009628296f, 0.000000000000000000f, 0.024541229009628296f,
-  0.049067676067352295f, 0.073564566671848297f, 0.098017141222953796f,
-  0.122410677373409270f, 0.146730467677116390f,
-  0.170961886644363400f, 0.195090323686599730f, 0.219101235270500180f,
-  0.242980182170867920f, 0.266712754964828490f, 0.290284663438797000f,
-  0.313681751489639280f, 0.336889863014221190f,
-  0.359895050525665280f, 0.382683426141738890f, 0.405241310596466060f,
-  0.427555084228515630f, 0.449611335992813110f, 0.471396744251251220f,
-  0.492898195981979370f, 0.514102756977081300f,
-  0.534997642040252690f, 0.555570244789123540f, 0.575808167457580570f,
-  0.595699310302734380f, 0.615231573581695560f, 0.634393274784088130f,
-  0.653172850608825680f, 0.671558976173400880f,
-  0.689540565013885500f, 0.707106769084930420f, 0.724247097969055180f,
-  0.740951120853424070f, 0.757208824157714840f, 0.773010432720184330f,
-  0.788346409797668460f, 0.803207516670227050f,
-  0.817584812641143800f, 0.831469595432281490f, 0.844853579998016360f,
-  0.857728600502014160f, 0.870086967945098880f, 0.881921291351318360f,
-  0.893224298954010010f, 0.903989315032958980f,
-  0.914209783077239990f, 0.923879504203796390f, 0.932992815971374510f,
-  0.941544055938720700f, 0.949528157711029050f, 0.956940352916717530f,
-  0.963776051998138430f, 0.970031261444091800f,
-  0.975702106952667240f, 0.980785250663757320f, 0.985277652740478520f,
-  0.989176511764526370f, 0.992479562759399410f, 0.995184719562530520f,
-  0.997290432453155520f, 0.998795449733734130f,
-  0.999698817729949950f, 1.000000000000000000f, 0.999698817729949950f,
-  0.998795449733734130f, 0.997290432453155520f, 0.995184719562530520f,
-  0.992479562759399410f, 0.989176511764526370f,
-  0.985277652740478520f, 0.980785250663757320f, 0.975702106952667240f,
-  0.970031261444091800f, 0.963776051998138430f, 0.956940352916717530f,
-  0.949528157711029050f, 0.941544055938720700f,
-  0.932992815971374510f, 0.923879504203796390f, 0.914209783077239990f,
-  0.903989315032958980f, 0.893224298954010010f, 0.881921291351318360f,
-  0.870086967945098880f, 0.857728600502014160f,
-  0.844853579998016360f, 0.831469595432281490f, 0.817584812641143800f,
-  0.803207516670227050f, 0.788346409797668460f, 0.773010432720184330f,
-  0.757208824157714840f, 0.740951120853424070f,
-  0.724247097969055180f, 0.707106769084930420f, 0.689540565013885500f,
-  0.671558976173400880f, 0.653172850608825680f, 0.634393274784088130f,
-  0.615231573581695560f, 0.595699310302734380f,
-  0.575808167457580570f, 0.555570244789123540f, 0.534997642040252690f,
-  0.514102756977081300f, 0.492898195981979370f, 0.471396744251251220f,
-  0.449611335992813110f, 0.427555084228515630f,
-  0.405241310596466060f, 0.382683426141738890f, 0.359895050525665280f,
-  0.336889863014221190f, 0.313681751489639280f, 0.290284663438797000f,
-  0.266712754964828490f, 0.242980182170867920f,
-  0.219101235270500180f, 0.195090323686599730f, 0.170961886644363400f,
-  0.146730467677116390f, 0.122410677373409270f, 0.098017141222953796f,
-  0.073564566671848297f, 0.049067676067352295f,
-  0.024541229009628296f, 0.000000000000000122f, -0.024541229009628296f,
-  -0.049067676067352295f, -0.073564566671848297f, -0.098017141222953796f,
-  -0.122410677373409270f, -0.146730467677116390f,
-  -0.170961886644363400f, -0.195090323686599730f, -0.219101235270500180f,
-  -0.242980182170867920f, -0.266712754964828490f, -0.290284663438797000f,
-  -0.313681751489639280f, -0.336889863014221190f,
-  -0.359895050525665280f, -0.382683426141738890f, -0.405241310596466060f,
-  -0.427555084228515630f, -0.449611335992813110f, -0.471396744251251220f,
-  -0.492898195981979370f, -0.514102756977081300f,
-  -0.534997642040252690f, -0.555570244789123540f, -0.575808167457580570f,
-  -0.595699310302734380f, -0.615231573581695560f, -0.634393274784088130f,
-  -0.653172850608825680f, -0.671558976173400880f,
-  -0.689540565013885500f, -0.707106769084930420f, -0.724247097969055180f,
-  -0.740951120853424070f, -0.757208824157714840f, -0.773010432720184330f,
-  -0.788346409797668460f, -0.803207516670227050f,
-  -0.817584812641143800f, -0.831469595432281490f, -0.844853579998016360f,
-  -0.857728600502014160f, -0.870086967945098880f, -0.881921291351318360f,
-  -0.893224298954010010f, -0.903989315032958980f,
-  -0.914209783077239990f, -0.923879504203796390f, -0.932992815971374510f,
-  -0.941544055938720700f, -0.949528157711029050f, -0.956940352916717530f,
-  -0.963776051998138430f, -0.970031261444091800f,
-  -0.975702106952667240f, -0.980785250663757320f, -0.985277652740478520f,
-  -0.989176511764526370f, -0.992479562759399410f, -0.995184719562530520f,
-  -0.997290432453155520f, -0.998795449733734130f,
-  -0.999698817729949950f, -1.000000000000000000f, -0.999698817729949950f,
-  -0.998795449733734130f, -0.997290432453155520f, -0.995184719562530520f,
-  -0.992479562759399410f, -0.989176511764526370f,
-  -0.985277652740478520f, -0.980785250663757320f, -0.975702106952667240f,
-  -0.970031261444091800f, -0.963776051998138430f, -0.956940352916717530f,
-  -0.949528157711029050f, -0.941544055938720700f,
-  -0.932992815971374510f, -0.923879504203796390f, -0.914209783077239990f,
-  -0.903989315032958980f, -0.893224298954010010f, -0.881921291351318360f,
-  -0.870086967945098880f, -0.857728600502014160f,
-  -0.844853579998016360f, -0.831469595432281490f, -0.817584812641143800f,
-  -0.803207516670227050f, -0.788346409797668460f, -0.773010432720184330f,
-  -0.757208824157714840f, -0.740951120853424070f,
-  -0.724247097969055180f, -0.707106769084930420f, -0.689540565013885500f,
-  -0.671558976173400880f, -0.653172850608825680f, -0.634393274784088130f,
-  -0.615231573581695560f, -0.595699310302734380f,
-  -0.575808167457580570f, -0.555570244789123540f, -0.534997642040252690f,
-  -0.514102756977081300f, -0.492898195981979370f, -0.471396744251251220f,
-  -0.449611335992813110f, -0.427555084228515630f,
-  -0.405241310596466060f, -0.382683426141738890f, -0.359895050525665280f,
-  -0.336889863014221190f, -0.313681751489639280f, -0.290284663438797000f,
-  -0.266712754964828490f, -0.242980182170867920f,
-  -0.219101235270500180f, -0.195090323686599730f, -0.170961886644363400f,
-  -0.146730467677116390f, -0.122410677373409270f, -0.098017141222953796f,
-  -0.073564566671848297f, -0.049067676067352295f,
-  -0.024541229009628296f, -0.000000000000000245f, 0.024541229009628296f
-};
-
-
-/**   
- * @brief  Fast approximation to the trigonometric sine function for floating-point data.   
- * @param[in] x input value in radians.   
- * @return  sin(x).   
- */
-
-float32_t arm_sin_f32(
-  float32_t x)
-{
-  float32_t sinVal, fract, in;                   /* Temporary variables for input, output */
-  int32_t index;                                 /* Index variable */
-  uint32_t tableSize = (uint32_t) TABLE_SIZE;    /* Initialise tablesize */
-  float32_t wa, wb, wc, wd;                      /* Cubic interpolation coefficients */
-  float32_t a, b, c, d;                          /* Four nearest output values */
-  float32_t *tablePtr;                           /* Pointer to table */
-  int32_t n;
-  float32_t fractsq, fractby2, fractby6, fractby3, fractsqby2;
-  float32_t oneminusfractby2;
-  float32_t frby2xfrsq, frby6xfrsq;
-
-  /* input x is in radians */
-  /* Scale the input to [0 1] range from [0 2*PI] , divide input by 2*pi */
-  in = x * 0.159154943092f;
-
-  /* Calculation of floor value of input */
-  n = (int32_t) in;
-
-  /* Make negative values towards -infinity */
-  if(x < 0.0f)
-  {
-    n = n - 1;
-  }
-
-  /* Map input value to [0 1] */
-  in = in - (float32_t) n;
-
-  /* Calculation of index of the table */
-  index = (uint32_t) (tableSize * in);
-
-  /* fractional value calculation */
-  fract = ((float32_t) tableSize * in) - (float32_t) index;
-
-  /* Checking min and max index of table */
-  if(index < 0)
-  {
-    index = 0;
-  }
-  else if(index > 256)
-  {
-    index = 256;
-  }
-
-  /* Initialise table pointer */
-  tablePtr = (float32_t *) & sinTable[index];
-
-  /* Read four nearest values of input value from the sin table */
-  a = tablePtr[0];
-  b = tablePtr[1];
-  c = tablePtr[2];
-  d = tablePtr[3];
-
-  /* Cubic interpolation process */
-  fractsq = fract * fract;
-  fractby2 = fract * 0.5f;
-  fractby6 = fract * 0.166666667f;
-  fractby3 = fract * 0.3333333333333f;
-  fractsqby2 = fractsq * 0.5f;
-  frby2xfrsq = (fractby2) * fractsq;
-  frby6xfrsq = (fractby6) * fractsq;
-  oneminusfractby2 = 1.0f - fractby2;
-  wb = fractsqby2 - fractby3;
-  wc = (fractsqby2 + fract);
-  wa = wb - frby6xfrsq;
-  wb = frby2xfrsq - fractsq;
-  sinVal = wa * a;
-  wc = wc - frby2xfrsq;
-  wd = (frby6xfrsq) - fractby6;
-  wb = wb + oneminusfractby2;
-
-  /* Calculate sin value */
-  sinVal = (sinVal + (b * wb)) + ((c * wc) + (d * wd));
-
-  /* Return the output value */
-  return (sinVal);
-
-}
-
-/**    
- * @} end of sin group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_sin_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_sin_q15.c
deleted file mode 100644
index b53ca3ecc..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_sin_q15.c
+++ /dev/null
@@ -1,208 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_sin_q15.c    
-*    
-* Description:	Fast sine calculation for Q15 values.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFastMath    
- */
-
- /**    
- * @addtogroup sin    
- * @{    
- */
-
-
-/**    
- * \par    
- * Example code for Generation of Q15 Sin Table:   
- * \par    
- * 
tableSize = 256;    
- * for(n = -1; n < (tableSize + 1); n++)    
- * {    
- *	sinTable[n+1]=sin(2*pi*n/tableSize);    
- * } 
    
- * where pi value is  3.14159265358979    
- * \par    
- * Convert Floating point to Q15(Fixed point):    
- *	(sinTable[i] * pow(2, 15))    
- * \par    
- * rounding to nearest integer is done    
- * 	sinTable[i] += (sinTable[i] > 0 ? 0.5 :-0.5);    
- */
-
-
-static const q15_t sinTableQ15[259] = {
-  0xfcdc, 0x0, 0x324, 0x648, 0x96b, 0xc8c, 0xfab, 0x12c8,
-  0x15e2, 0x18f9, 0x1c0c, 0x1f1a, 0x2224, 0x2528, 0x2827, 0x2b1f,
-  0x2e11, 0x30fc, 0x33df, 0x36ba, 0x398d, 0x3c57, 0x3f17, 0x41ce,
-  0x447b, 0x471d, 0x49b4, 0x4c40, 0x4ec0, 0x5134, 0x539b, 0x55f6,
-  0x5843, 0x5a82, 0x5cb4, 0x5ed7, 0x60ec, 0x62f2, 0x64e9, 0x66d0,
-  0x68a7, 0x6a6e, 0x6c24, 0x6dca, 0x6f5f, 0x70e3, 0x7255, 0x73b6,
-  0x7505, 0x7642, 0x776c, 0x7885, 0x798a, 0x7a7d, 0x7b5d, 0x7c2a,
-  0x7ce4, 0x7d8a, 0x7e1e, 0x7e9d, 0x7f0a, 0x7f62, 0x7fa7, 0x7fd9,
-  0x7ff6, 0x7fff, 0x7ff6, 0x7fd9, 0x7fa7, 0x7f62, 0x7f0a, 0x7e9d,
-  0x7e1e, 0x7d8a, 0x7ce4, 0x7c2a, 0x7b5d, 0x7a7d, 0x798a, 0x7885,
-  0x776c, 0x7642, 0x7505, 0x73b6, 0x7255, 0x70e3, 0x6f5f, 0x6dca,
-  0x6c24, 0x6a6e, 0x68a7, 0x66d0, 0x64e9, 0x62f2, 0x60ec, 0x5ed7,
-  0x5cb4, 0x5a82, 0x5843, 0x55f6, 0x539b, 0x5134, 0x4ec0, 0x4c40,
-  0x49b4, 0x471d, 0x447b, 0x41ce, 0x3f17, 0x3c57, 0x398d, 0x36ba,
-  0x33df, 0x30fc, 0x2e11, 0x2b1f, 0x2827, 0x2528, 0x2224, 0x1f1a,
-  0x1c0c, 0x18f9, 0x15e2, 0x12c8, 0xfab, 0xc8c, 0x96b, 0x648,
-  0x324, 0x0, 0xfcdc, 0xf9b8, 0xf695, 0xf374, 0xf055, 0xed38,
-  0xea1e, 0xe707, 0xe3f4, 0xe0e6, 0xdddc, 0xdad8, 0xd7d9, 0xd4e1,
-  0xd1ef, 0xcf04, 0xcc21, 0xc946, 0xc673, 0xc3a9, 0xc0e9, 0xbe32,
-  0xbb85, 0xb8e3, 0xb64c, 0xb3c0, 0xb140, 0xaecc, 0xac65, 0xaa0a,
-  0xa7bd, 0xa57e, 0xa34c, 0xa129, 0x9f14, 0x9d0e, 0x9b17, 0x9930,
-  0x9759, 0x9592, 0x93dc, 0x9236, 0x90a1, 0x8f1d, 0x8dab, 0x8c4a,
-  0x8afb, 0x89be, 0x8894, 0x877b, 0x8676, 0x8583, 0x84a3, 0x83d6,
-  0x831c, 0x8276, 0x81e2, 0x8163, 0x80f6, 0x809e, 0x8059, 0x8027,
-  0x800a, 0x8000, 0x800a, 0x8027, 0x8059, 0x809e, 0x80f6, 0x8163,
-  0x81e2, 0x8276, 0x831c, 0x83d6, 0x84a3, 0x8583, 0x8676, 0x877b,
-  0x8894, 0x89be, 0x8afb, 0x8c4a, 0x8dab, 0x8f1d, 0x90a1, 0x9236,
-  0x93dc, 0x9592, 0x9759, 0x9930, 0x9b17, 0x9d0e, 0x9f14, 0xa129,
-  0xa34c, 0xa57e, 0xa7bd, 0xaa0a, 0xac65, 0xaecc, 0xb140, 0xb3c0,
-  0xb64c, 0xb8e3, 0xbb85, 0xbe32, 0xc0e9, 0xc3a9, 0xc673, 0xc946,
-  0xcc21, 0xcf04, 0xd1ef, 0xd4e1, 0xd7d9, 0xdad8, 0xdddc, 0xe0e6,
-  0xe3f4, 0xe707, 0xea1e, 0xed38, 0xf055, 0xf374, 0xf695, 0xf9b8,
-  0xfcdc, 0x0, 0x324
-};
-
-
-/**   
- * @brief Fast approximation to the trigonometric sine function for Q15 data.   
- * @param[in] x Scaled input value in radians.   
- * @return  sin(x).   
- *   
- * The Q15 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*pi), Here range excludes 2*pi.   
- */
-
-q15_t arm_sin_q15(
-  q15_t x)
-{
-  q31_t sinVal;                                  /* Temporary variables output */
-  q15_t *tablePtr;                               /* Pointer to table */
-  q15_t fract, in, in2;                          /* Temporary variables for input, output */
-  q31_t wa, wb, wc, wd;                          /* Cubic interpolation coefficients */
-  q15_t a, b, c, d;                              /* Four nearest output values */
-  q15_t fractCube, fractSquare;                  /* Temporary values for fractional value */
-  q15_t oneBy6 = 0x1555;                         /* Fixed point value of 1/6 */
-  q15_t tableSpacing = TABLE_SPACING_Q15;        /* Table spacing */
-  int32_t index;                                 /* Index variable */
-
-  in = x;
-
-  /* Calculate the nearest index */
-  index = (int32_t) in / tableSpacing;
-
-  /* Calculate the nearest value of input */
-  in2 = (q15_t) ((index) * tableSpacing);
-
-  /* Calculation of fractional value */
-  fract = (in - in2) << 8;
-
-  /* fractSquare = fract * fract */
-  fractSquare = (q15_t) ((fract * fract) >> 15);
-
-  /* fractCube = fract * fract * fract */
-  fractCube = (q15_t) ((fractSquare * fract) >> 15);
-
-  /* Checking min and max index of table */
-  if(index < 0)
-  {
-    index = 0;
-  }
-  else if(index > 256)
-  {
-    index = 256;
-  }
-
-  /* Initialise table pointer */
-  tablePtr = (q15_t *) & sinTableQ15[index];
-
-  /* Cubic interpolation process */
-  /* Calculation of wa */
-  /* wa = -(oneBy6)*fractCube + (fractSquare >> 1u) - (0x2AAA)*fract; */
-  wa = (q31_t) oneBy6 *fractCube;
-  wa += (q31_t) 0x2AAA *fract;
-  wa = -(wa >> 15);
-  wa += ((q31_t) fractSquare >> 1u);
-
-  /* Read first nearest value of output from the sin table */
-  a = *tablePtr++;
-
-  /* sinVal = a * wa */
-  sinVal = a * wa;
-
-  /* Calculation of wb */
-  wb = (((q31_t) fractCube >> 1u) - (q31_t) fractSquare) -
-    (((q31_t) fract >> 1u) - 0x7FFF);
-
-  /* Read second nearest value of output from the sin table */
-  b = *tablePtr++;
-
-  /*      sinVal += b*wb */
-  sinVal += b * wb;
-
-
-  /* Calculation of wc */
-  wc = -(q31_t) fractCube + fractSquare;
-  wc = (wc >> 1u) + fract;
-
-  /* Read third nearest value of output from the sin table */
-  c = *tablePtr++;
-
-  /* sinVal += c*wc */
-  sinVal += c * wc;
-
-  /* Calculation of wd */
-  /* wd = (oneBy6)*fractCube - (oneBy6)*fract; */
-  fractCube = fractCube - fract;
-  wd = ((q15_t) (((q31_t) oneBy6 * fractCube) >> 15));
-
-  /* Read fourth nearest value of output from the sin table */
-  d = *tablePtr++;
-
-  /* sinVal += d*wd; */
-  sinVal += d * wd;
-
-  /* Convert output value in 1.15(q15) format and saturate */
-  sinVal = __SSAT((sinVal >> 15), 16);
-
-  /* Return the output value in 1.15(q15) format */
-  return ((q15_t) sinVal);
-
-}
-
-/**    
- * @} end of sin group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_sin_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_sin_q31.c
deleted file mode 100644
index 336796b5c..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_sin_q31.c
+++ /dev/null
@@ -1,240 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_sin_q31.c    
-*    
-* Description:	Fast sine calculation for Q31 values.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFastMath    
- */
-
- /**    
- * @addtogroup sin    
- * @{    
- */
-
-/**   
- * \par    
- * Tables generated are in Q31(1.31 Fixed point format)    
- * Generation of sin values in floating point:    
- * 
tableSize = 256;      
- * for(n = -1; n < (tableSize + 1); n++)    
- * {    
- *	sinTable[n+1]= sin(2*pi*n/tableSize);    
- * } 
    
- * where pi value is  3.14159265358979    
- * \par    
- * Convert Floating point to Q31(Fixed point):    
- *	(sinTable[i] * pow(2, 31))    
- * \par    
- * rounding to nearest integer is done    
- * 	sinTable[i] += (sinTable[i] > 0 ? 0.5 :-0.5);    
- */
-
-static const q31_t sinTableQ31[259] = {
-  0xfcdbd541, 0x0, 0x3242abf, 0x647d97c, 0x96a9049, 0xc8bd35e, 0xfab272b,
-  0x12c8106f,
-  0x15e21445, 0x18f8b83c, 0x1c0b826a, 0x1f19f97b, 0x2223a4c5, 0x25280c5e,
-  0x2826b928, 0x2b1f34eb,
-  0x2e110a62, 0x30fbc54d, 0x33def287, 0x36ba2014, 0x398cdd32, 0x3c56ba70,
-  0x3f1749b8, 0x41ce1e65,
-  0x447acd50, 0x471cece7, 0x49b41533, 0x4c3fdff4, 0x4ebfe8a5, 0x5133cc94,
-  0x539b2af0, 0x55f5a4d2,
-  0x5842dd54, 0x5a82799a, 0x5cb420e0, 0x5ed77c8a, 0x60ec3830, 0x62f201ac,
-  0x64e88926, 0x66cf8120,
-  0x68a69e81, 0x6a6d98a4, 0x6c242960, 0x6dca0d14, 0x6f5f02b2, 0x70e2cbc6,
-  0x72552c85, 0x73b5ebd1,
-  0x7504d345, 0x7641af3d, 0x776c4edb, 0x78848414, 0x798a23b1, 0x7a7d055b,
-  0x7b5d039e, 0x7c29fbee,
-  0x7ce3ceb2, 0x7d8a5f40, 0x7e1d93ea, 0x7e9d55fc, 0x7f0991c4, 0x7f62368f,
-  0x7fa736b4, 0x7fd8878e,
-  0x7ff62182, 0x7fffffff, 0x7ff62182, 0x7fd8878e, 0x7fa736b4, 0x7f62368f,
-  0x7f0991c4, 0x7e9d55fc,
-  0x7e1d93ea, 0x7d8a5f40, 0x7ce3ceb2, 0x7c29fbee, 0x7b5d039e, 0x7a7d055b,
-  0x798a23b1, 0x78848414,
-  0x776c4edb, 0x7641af3d, 0x7504d345, 0x73b5ebd1, 0x72552c85, 0x70e2cbc6,
-  0x6f5f02b2, 0x6dca0d14,
-  0x6c242960, 0x6a6d98a4, 0x68a69e81, 0x66cf8120, 0x64e88926, 0x62f201ac,
-  0x60ec3830, 0x5ed77c8a,
-  0x5cb420e0, 0x5a82799a, 0x5842dd54, 0x55f5a4d2, 0x539b2af0, 0x5133cc94,
-  0x4ebfe8a5, 0x4c3fdff4,
-  0x49b41533, 0x471cece7, 0x447acd50, 0x41ce1e65, 0x3f1749b8, 0x3c56ba70,
-  0x398cdd32, 0x36ba2014,
-  0x33def287, 0x30fbc54d, 0x2e110a62, 0x2b1f34eb, 0x2826b928, 0x25280c5e,
-  0x2223a4c5, 0x1f19f97b,
-  0x1c0b826a, 0x18f8b83c, 0x15e21445, 0x12c8106f, 0xfab272b, 0xc8bd35e,
-  0x96a9049, 0x647d97c,
-  0x3242abf, 0x0, 0xfcdbd541, 0xf9b82684, 0xf6956fb7, 0xf3742ca2, 0xf054d8d5,
-  0xed37ef91,
-  0xea1debbb, 0xe70747c4, 0xe3f47d96, 0xe0e60685, 0xdddc5b3b, 0xdad7f3a2,
-  0xd7d946d8, 0xd4e0cb15,
-  0xd1eef59e, 0xcf043ab3, 0xcc210d79, 0xc945dfec, 0xc67322ce, 0xc3a94590,
-  0xc0e8b648, 0xbe31e19b,
-  0xbb8532b0, 0xb8e31319, 0xb64beacd, 0xb3c0200c, 0xb140175b, 0xaecc336c,
-  0xac64d510, 0xaa0a5b2e,
-  0xa7bd22ac, 0xa57d8666, 0xa34bdf20, 0xa1288376, 0x9f13c7d0, 0x9d0dfe54,
-  0x9b1776da, 0x99307ee0,
-  0x9759617f, 0x9592675c, 0x93dbd6a0, 0x9235f2ec, 0x90a0fd4e, 0x8f1d343a,
-  0x8daad37b, 0x8c4a142f,
-  0x8afb2cbb, 0x89be50c3, 0x8893b125, 0x877b7bec, 0x8675dc4f, 0x8582faa5,
-  0x84a2fc62, 0x83d60412,
-  0x831c314e, 0x8275a0c0, 0x81e26c16, 0x8162aa04, 0x80f66e3c, 0x809dc971,
-  0x8058c94c, 0x80277872,
-  0x8009de7e, 0x80000000, 0x8009de7e, 0x80277872, 0x8058c94c, 0x809dc971,
-  0x80f66e3c, 0x8162aa04,
-  0x81e26c16, 0x8275a0c0, 0x831c314e, 0x83d60412, 0x84a2fc62, 0x8582faa5,
-  0x8675dc4f, 0x877b7bec,
-  0x8893b125, 0x89be50c3, 0x8afb2cbb, 0x8c4a142f, 0x8daad37b, 0x8f1d343a,
-  0x90a0fd4e, 0x9235f2ec,
-  0x93dbd6a0, 0x9592675c, 0x9759617f, 0x99307ee0, 0x9b1776da, 0x9d0dfe54,
-  0x9f13c7d0, 0xa1288376,
-  0xa34bdf20, 0xa57d8666, 0xa7bd22ac, 0xaa0a5b2e, 0xac64d510, 0xaecc336c,
-  0xb140175b, 0xb3c0200c,
-  0xb64beacd, 0xb8e31319, 0xbb8532b0, 0xbe31e19b, 0xc0e8b648, 0xc3a94590,
-  0xc67322ce, 0xc945dfec,
-  0xcc210d79, 0xcf043ab3, 0xd1eef59e, 0xd4e0cb15, 0xd7d946d8, 0xdad7f3a2,
-  0xdddc5b3b, 0xe0e60685,
-  0xe3f47d96, 0xe70747c4, 0xea1debbb, 0xed37ef91, 0xf054d8d5, 0xf3742ca2,
-  0xf6956fb7, 0xf9b82684,
-  0xfcdbd541, 0x0, 0x3242abf
-};
-
-
-/**   
- * @brief Fast approximation to the trigonometric sine function for Q31 data.   
- * @param[in] x Scaled input value in radians.   
- * @return  sin(x).   
- *   
- * The Q31 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*pi), Here range excludes 2*pi.   
- */
-
-q31_t arm_sin_q31(
-  q31_t x)
-{
-  q31_t sinVal, in, in2;                         /* Temporary variables for input, output */
-  int32_t index;                                 /* Index variables */
-  q31_t wa, wb, wc, wd;                          /* Cubic interpolation coefficients */
-  q31_t a, b, c, d;                              /* Four nearest output values */
-  q31_t *tablePtr;                               /* Pointer to table */
-  q31_t fract, fractCube, fractSquare;           /* Temporary values for fractional values */
-  q31_t oneBy6 = 0x15555555;                     /* Fixed point value of 1/6 */
-  q31_t tableSpacing = TABLE_SPACING_Q31;        /* Table spacing */
-  q31_t temp;                                    /* Temporary variable for intermediate process */
-
-  in = x;
-
-  /* Calculate the nearest index */
-  index = (uint32_t) in / (uint32_t) tableSpacing;
-
-  /* Calculate the nearest value of input */
-  in2 = (q31_t) index *tableSpacing;
-
-  /* Calculation of fractional value */
-  fract = (in - in2) << 8;
-
-  /* fractSquare = fract * fract */
-  fractSquare = ((q31_t) (((q63_t) fract * fract) >> 32));
-  fractSquare = fractSquare << 1;
-
-  /* fractCube = fract * fract * fract */
-  fractCube = ((q31_t) (((q63_t) fractSquare * fract) >> 32));
-  fractCube = fractCube << 1;
-
-  /* Checking min and max index of table */
-  if(index < 0)
-  {
-    index = 0;
-  }
-  else if(index > 256)
-  {
-    index = 256;
-  }
-
-  /* Initialise table pointer */
-  tablePtr = (q31_t *) & sinTableQ31[index];
-
-  /* Cubic interpolation process */
-  /* Calculation of wa */
-  /* wa = -(oneBy6)*fractCube + (fractSquare >> 1u) - (0x2AAAAAAA)*fract; */
-  wa = ((q31_t) (((q63_t) oneBy6 * fractCube) >> 32));
-  temp = 0x2AAAAAAA;
-  wa = (q31_t) ((((q63_t) wa << 32) + ((q63_t) temp * fract)) >> 32);
-  wa = -(wa << 1u);
-  wa += (fractSquare >> 1u);
-
-  /* Read first nearest value of output from the sin table */
-  a = *tablePtr++;
-
-  /* sinVal = a*wa */
-  sinVal = ((q31_t) (((q63_t) a * wa) >> 32));
-
-  /* q31(1.31) Fixed point value of 1 */
-  temp = 0x7FFFFFFF;
-
-  /* Calculation of wb */
-  wb = ((fractCube >> 1u) - (fractSquare + (fract >> 1u))) + temp;
-
-  /* Read second nearest value of output from the sin table */
-  b = *tablePtr++;
-
-  /*  sinVal += b*wb */
-  sinVal = (q31_t) ((((q63_t) sinVal << 32) + (q63_t) b * (wb)) >> 32);
-
-  /* Calculation of wc */
-  wc = -fractCube + fractSquare;
-  wc = (wc >> 1u) + fract;
-
-  /* Read third nearest value of output from the sin table */
-  c = *tablePtr++;
-
-  /*      sinVal += c*wc */
-  sinVal = (q31_t) ((((q63_t) sinVal << 32) + ((q63_t) c * wc)) >> 32);
-
-  /* Calculation of wd */
-  /* wd = (oneBy6) * fractCube - (oneBy6) * fract; */
-  fractCube = fractCube - fract;
-  wd = ((q31_t) (((q63_t) oneBy6 * fractCube) >> 32));
-  wd = (wd << 1u);
-
-  /* Read fourth nearest value of output from the sin table */
-  d = *tablePtr++;
-
-  /* sinVal += d*wd; */
-  sinVal = (q31_t) ((((q63_t) sinVal << 32) + ((q63_t) d * wd)) >> 32);
-
-  /* convert sinVal in 2.30 format to 1.31 format */
-  return (__QADD(sinVal, sinVal));
-
-}
-
-/**    
- * @} end of sin group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_sqrt_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_sqrt_q15.c
deleted file mode 100644
index 0a6d6a53a..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_sqrt_q15.c
+++ /dev/null
@@ -1,131 +0,0 @@
-/* ----------------------------------------------------------------------     
-* Copyright (C) 2011 ARM Limited. All rights reserved.  
-*     
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*     
-* Project:      CMSIS DSP Library  
-* Title:		arm_sqrt_q15.c     
-*     
-* Description:	Q15 square root function.    
-*     
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-* 
-* Version 1.0.0 2011/03/08 
-*     Alpha release. 
-* 
-* Version 1.0.1 2011/09/30 
-*     Beta release.  
-*     
-* -------------------------------------------------------------------- */
-#include "arm_math.h"
-#include "arm_common_tables.h"
-
-
-/**     
- * @ingroup groupFastMath     
- */
-
-/**     
- * @addtogroup SQRT     
- * @{     
- */
-
-  /**    
-   * @brief  Q15 square root function.    
-   * @param[in]   in     input value.  The range of the input value is [0 +1) or 0x0000 to 0x7FFF.    
-   * @param[out]  *pOut  square root of input value.    
-   * @return The function returns ARM_MATH_SUCCESS if input value is positive value or ARM_MATH_ARGUMENT_ERROR if    
-   * in is negative value and returns zero output for negative values.    
-   */
-
-arm_status arm_sqrt_q15(
-  q15_t in,
-  q15_t * pOut)
-{
-  q15_t number, temp1, var1, signBits1, half;
-  q31_t bits_val1;
-  float32_t temp_float1;
-
-  number = in;
-
-  /* If the input is a positive number then compute the signBits. */
-  if(number > 0)
-  {
-    signBits1 = __CLZ(number) - 17;
-
-    /* Shift by the number of signBits1 */
-    if((signBits1 % 2) == 0)
-    {
-      number = number << signBits1;
-    }
-    else
-    {
-      number = number << (signBits1 - 1);
-    }
-
-    /* Calculate half value of the number */
-    half = number >> 1;
-    /* Store the number for later use */
-    temp1 = number;
-
-    /*Convert to float */
-    temp_float1 = number * 3.051757812500000e-005f;
-    /*Store as integer */
-    bits_val1 = *(int *) &temp_float1;
-    /* Subtract the shifted value from the magic number to give intial guess */
-    bits_val1 = 0x5f3759df - (bits_val1 >> 1);  // gives initial guess  
-    /* Store as float */
-    temp_float1 = *(float *) &bits_val1;
-    /* Convert to integer format */
-    var1 = (q31_t) (temp_float1 * 16384);
-
-    /* 1st iteration */
-    var1 = ((q15_t) ((q31_t) var1 * (0x3000 -
-                                     ((q15_t)
-                                      ((((q15_t)
-                                         (((q31_t) var1 * var1) >> 15)) *
-                                        (q31_t) half) >> 15))) >> 15)) << 2;
-    /* 2nd iteration */
-    var1 = ((q15_t) ((q31_t) var1 * (0x3000 -
-                                     ((q15_t)
-                                      ((((q15_t)
-                                         (((q31_t) var1 * var1) >> 15)) *
-                                        (q31_t) half) >> 15))) >> 15)) << 2;
-    /* 3rd iteration */
-    var1 = ((q15_t) ((q31_t) var1 * (0x3000 -
-                                     ((q15_t)
-                                      ((((q15_t)
-                                         (((q31_t) var1 * var1) >> 15)) *
-                                        (q31_t) half) >> 15))) >> 15)) << 2;
-
-    /* Multiply the inverse square root with the original value */
-    var1 = ((q15_t) (((q31_t) temp1 * var1) >> 15)) << 1;
-
-    /* Shift the output down accordingly */
-    if((signBits1 % 2) == 0)
-    {
-      var1 = var1 >> (signBits1 / 2);
-    }
-    else
-    {
-      var1 = var1 >> ((signBits1 - 1) / 2);
-    }
-    *pOut = var1;
-
-    return (ARM_MATH_SUCCESS);
-  }
-  /* If the number is a negative number then store zero as its square root value */
-  else
-  {
-    *pOut = 0;
-    return (ARM_MATH_ARGUMENT_ERROR);
-  }
-}
-
-/**     
- * @} end of SQRT group     
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_sqrt_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_sqrt_q31.c
deleted file mode 100644
index 2a3b7ac18..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FastMathFunctions/arm_sqrt_q31.c
+++ /dev/null
@@ -1,129 +0,0 @@
-/* ----------------------------------------------------------------------     
-* Copyright (C) 2011 ARM Limited. All rights reserved.  
-*     
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*     
-* Project:      CMSIS DSP Library  
-* Title:		arm_sqrt_q31.c     
-*     
-* Description:	Q31 square root function.    
-*     
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-* 
-* Version 1.0.0 2011/03/08 
-*     Alpha release. 
-* 
-* Version 1.0.1 2011/09/30 
-*     Beta release.  
-*     
-* -------------------------------------------------------------------- */
-#include "arm_math.h"
-#include "arm_common_tables.h"
-
-/**     
- * @ingroup groupFastMath     
- */
-
-/**     
- * @addtogroup SQRT     
- * @{     
- */
-
-/**    
- * @brief Q31 square root function.    
- * @param[in]   in    input value.  The range of the input value is [0 +1) or 0x00000000 to 0x7FFFFFFF.    
- * @param[out]  *pOut square root of input value.    
- * @return The function returns ARM_MATH_SUCCESS if input value is positive value or ARM_MATH_ARGUMENT_ERROR if    
- * in is negative value and returns zero output for negative values.    
- */
-
-arm_status arm_sqrt_q31(
-  q31_t in,
-  q31_t * pOut)
-{
-  q31_t number, temp1, bits_val1, var1, signBits1, half;
-  float32_t temp_float1;
-
-  number = in;
-
-  /* If the input is a positive number then compute the signBits. */
-  if(number > 0)
-  {
-    signBits1 = __CLZ(number) - 1;
-
-    /* Shift by the number of signBits1 */
-    if((signBits1 % 2) == 0)
-    {
-      number = number << signBits1;
-    }
-    else
-    {
-      number = number << (signBits1 - 1);
-    }
-
-    /* Calculate half value of the number */
-    half = number >> 1;
-    /* Store the number for later use */
-    temp1 = number;
-
-    /*Convert to float */
-    temp_float1 = number * 4.6566128731e-010f;
-    /*Store as integer */
-    bits_val1 = *(int *) &temp_float1;
-    /* Subtract the shifted value from the magic number to give intial guess */
-    bits_val1 = 0x5f3759df - (bits_val1 >> 1);  // gives initial guess  
-    /* Store as float */
-    temp_float1 = *(float *) &bits_val1;
-    /* Convert to integer format */
-    var1 = (q31_t) (temp_float1 * 1073741824);
-
-    /* 1st iteration */
-    var1 = ((q31_t) ((q63_t) var1 * (0x30000000 -
-                                     ((q31_t)
-                                      ((((q31_t)
-                                         (((q63_t) var1 * var1) >> 31)) *
-                                        (q63_t) half) >> 31))) >> 31)) << 2;
-    /* 2nd iteration */
-    var1 = ((q31_t) ((q63_t) var1 * (0x30000000 -
-                                     ((q31_t)
-                                      ((((q31_t)
-                                         (((q63_t) var1 * var1) >> 31)) *
-                                        (q63_t) half) >> 31))) >> 31)) << 2;
-    /* 3rd iteration */
-    var1 = ((q31_t) ((q63_t) var1 * (0x30000000 -
-                                     ((q31_t)
-                                      ((((q31_t)
-                                         (((q63_t) var1 * var1) >> 31)) *
-                                        (q63_t) half) >> 31))) >> 31)) << 2;
-
-    /* Multiply the inverse square root with the original value */
-    var1 = ((q31_t) (((q63_t) temp1 * var1) >> 31)) << 1;
-
-    /* Shift the output down accordingly */
-    if((signBits1 % 2) == 0)
-    {
-      var1 = var1 >> (signBits1 / 2);
-    }
-    else
-    {
-      var1 = var1 >> ((signBits1 - 1) / 2);
-    }
-    *pOut = var1;
-
-    return (ARM_MATH_SUCCESS);
-  }
-  /* If the number is a negative number then store zero as its square root value */
-  else
-  {
-    *pOut = 0;
-    return (ARM_MATH_ARGUMENT_ERROR);
-  }
-}
-
-/**     
- * @} end of SQRT group     
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_init_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_init_q31.c
deleted file mode 100644
index a6745c0cd..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_init_q31.c
+++ /dev/null
@@ -1,105 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_biquad_cascade_df1_32x64_init_q31.c    
-*    
-* Description:	High precision Q31 Biquad cascade filter initialization function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup BiquadCascadeDF1_32x64    
- * @{    
- */
-
-/**    
- * @details    
- *    
- * @param[in,out] *S           	points to an instance of the high precision Q31 Biquad cascade filter structure.    
- * @param[in]     numStages     number of 2nd order stages in the filter.    
- * @param[in]     *pCoeffs      points to the filter coefficients.    
- * @param[in]     *pState       points to the state buffer.    
- * @param[in]     postShift     Shift to be applied after the accumulator.  Varies according to the coefficients format.    
- * @return        none    
- *    
- * Coefficient and State Ordering:    
- *    
- * \par    
- * The coefficients are stored in the array pCoeffs in the following order:    
- * 
    
- *     {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}    
- * 
    
- * where b1x and a1x are the coefficients for the first stage,    
- * b2x and a2x are the coefficients for the second stage,    
- * and so on.  The pCoeffs array contains a total of 5*numStages values.    
- *    
- * \par    
- * The pState points to state variables array and size of each state variable is 1.63 format.    
- * Each Biquad stage has 4 state variables x[n-1], x[n-2], y[n-1], and y[n-2].    
- * The state variables are arranged in the state array as:    
- * 
    
- *     {x[n-1], x[n-2], y[n-1], y[n-2]}    
- * 
    
- * The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on.    
- * The state array has a total length of 4*numStages values.    
- * The state variables are updated after each block of data is processed; the coefficients are untouched.    
- */
-
-void arm_biquad_cas_df1_32x64_init_q31(
-  arm_biquad_cas_df1_32x64_ins_q31 * S,
-  uint8_t numStages,
-  q31_t * pCoeffs,
-  q63_t * pState,
-  uint8_t postShift)
-{
-  /* Assign filter stages */
-  S->numStages = numStages;
-
-  /* Assign postShift to be applied to the output */
-  S->postShift = postShift;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Clear state buffer and size is always 4 * numStages */
-  memset(pState, 0, (4u * (uint32_t) numStages) * sizeof(q63_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-}
-
-/**    
- * @} end of BiquadCascadeDF1_32x64 group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_q31.c
deleted file mode 100644
index 82d6164ee..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_q31.c
+++ /dev/null
@@ -1,553 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_biquad_cascade_df1_32x64_q31.c    
-*    
-* Description:	High precision Q31 Biquad cascade filter processing function    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @defgroup BiquadCascadeDF1_32x64 High Precision Q31 Biquad Cascade Filter    
- *    
- * This function implements a high precision Biquad cascade filter which operates on    
- * Q31 data values.  The filter coefficients are in 1.31 format and the state variables    
- * are in 1.63 format.  The double precision state variables reduce quantization noise    
- * in the filter and provide a cleaner output.    
- * These filters are particularly useful when implementing filters in which the    
- * singularities are close to the unit circle.  This is common for low pass or high    
- * pass filters with very low cutoff frequencies.    
- *    
- * The function operates on blocks of input and output data    
- * and each call to the function processes blockSize samples through    
- * the filter. pSrc and pDst points to input and output arrays    
- * containing blockSize Q31 values.    
- *    
- * \par Algorithm    
- * Each Biquad stage implements a second order filter using the difference equation:    
- * 
    
- *     y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]    
- * 
    
- * A Direct Form I algorithm is used with 5 coefficients and 4 state variables per stage.    
- * \image html Biquad.gif "Single Biquad filter stage"    
- * Coefficients b0, b1, and b2  multiply the input signal x[n] and are referred to as the feedforward coefficients.    
- * Coefficients a1 and a2 multiply the output signal y[n] and are referred to as the feedback coefficients.    
- * Pay careful attention to the sign of the feedback coefficients.    
- * Some design tools use the difference equation    
- * 
    
- *     y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] - a1 * y[n-1] - a2 * y[n-2]    
- * 
    
- * In this case the feedback coefficients a1 and a2 must be negated when used with the CMSIS DSP Library.    
- *    
- * \par    
- * Higher order filters are realized as a cascade of second order sections.    
- * numStages refers to the number of second order stages used.    
- * For example, an 8th order filter would be realized with numStages=4 second order stages.    
- * \image html BiquadCascade.gif "8th order filter using a cascade of Biquad stages"    
- * A 9th order filter would be realized with numStages=5 second order stages with the coefficients for one of the stages configured as a first order filter (b2=0 and a2=0).    
- *    
- * \par    
- * The pState points to state variables array .    
- * Each Biquad stage has 4 state variables x[n-1], x[n-2], y[n-1], and y[n-2] and each state variable in 1.63 format to improve precision.    
- * The state variables are arranged in the array as:    
- * 
    
- *     {x[n-1], x[n-2], y[n-1], y[n-2]}    
- * 
    
- *    
- * \par    
- * The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on.    
- * The state array has a total length of 4*numStages values of data in 1.63 format.    
- * The state variables are updated after each block of data is processed; the coefficients are untouched.    
- *    
- * \par Instance Structure    
- * The coefficients and state variables for a filter are stored together in an instance data structure.    
- * A separate instance structure must be defined for each filter.    
- * Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.    
- *    
- * \par Init Function    
- * There is also an associated initialization function which performs the following operations:    
- * - Sets the values of the internal structure fields.    
- * - Zeros out the values in the state buffer.    
- * \par    
- * Use of the initialization function is optional.    
- * However, if the initialization function is used, then the instance structure cannot be placed into a const data section.    
- * To place an instance structure into a const data section, the instance structure must be manually initialized.    
- * Set the values in the state buffer to zeros before static initialization.    
- * For example, to statically initialize the filter instance structure use    
- * 
    
- *     arm_biquad_cas_df1_32x64_ins_q31 S1 = {numStages, pState, pCoeffs, postShift};    
- * 
    
- * where numStages is the number of Biquad stages in the filter; pState is the address of the state buffer;    
- * pCoeffs is the address of the coefficient buffer; postShift shift to be applied which is described in detail below.    
- * \par Fixed-Point Behavior    
- * Care must be taken while using Biquad Cascade 32x64 filter function.    
- * Following issues must be considered:    
- * - Scaling of coefficients    
- * - Filter gain    
- * - Overflow and saturation    
- *    
- * \par    
- * Filter coefficients are represented as fractional values and    
- * restricted to lie in the range [-1 +1).    
- * The processing function has an additional scaling parameter postShift    
- * which allows the filter coefficients to exceed the range [+1 -1).    
- * At the output of the filter's accumulator is a shift register which shifts the result by postShift bits.    
- * \image html BiquadPostshift.gif "Fixed-point Biquad with shift by postShift bits after accumulator"    
- * This essentially scales the filter coefficients by 2^postShift.    
- * For example, to realize the coefficients    
- * 
    
- *    {1.5, -0.8, 1.2, 1.6, -0.9}    
- * 
    
- * set the Coefficient array to:    
- * 
    
- *    {0.75, -0.4, 0.6, 0.8, -0.45}    
- * 
    
- * and set postShift=1    
- *    
- * \par    
- * The second thing to keep in mind is the gain through the filter.    
- * The frequency response of a Biquad filter is a function of its coefficients.    
- * It is possible for the gain through the filter to exceed 1.0 meaning that the filter increases the amplitude of certain frequencies.    
- * This means that an input signal with amplitude < 1.0 may result in an output > 1.0 and these are saturated or overflowed based on the implementation of the filter.    
- * To avoid this behavior the filter needs to be scaled down such that its peak gain < 1.0 or the input signal must be scaled down so that the combination of input and filter are never overflowed.    
- *    
- * \par    
- * The third item to consider is the overflow and saturation behavior of the fixed-point Q31 version.    
- * This is described in the function specific documentation below.    
- */
-
-/**    
- * @addtogroup BiquadCascadeDF1_32x64    
- * @{    
- */
-
-/**    
- * @details    
-    
- * @param[in]  *S points to an instance of the high precision Q31 Biquad cascade filter.    
- * @param[in]  *pSrc points to the block of input data.    
- * @param[out] *pDst points to the block of output data.    
- * @param[in]  blockSize number of samples to process.    
- * @return none.    
- *    
- * \par    
- * The function is implemented using an internal 64-bit accumulator.    
- * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.    
- * Thus, if the accumulator result overflows it wraps around rather than clip.    
- * In order to avoid overflows completely the input signal must be scaled down by 2 bits and lie in the range [-0.25 +0.25).    
- * After all 5 multiply-accumulates are performed, the 2.62 accumulator is shifted by postShift bits and the result truncated to    
- * 1.31 format by discarding the low 32 bits.    
- *    
- * \par    
- * Two related functions are provided in the CMSIS DSP library.    
- * arm_biquad_cascade_df1_q31() implements a Biquad cascade with 32-bit coefficients and state variables with a Q63 accumulator.    
- * arm_biquad_cascade_df1_fast_q31() implements a Biquad cascade with 32-bit coefficients and state variables with a Q31 accumulator.    
- */
-
-void arm_biquad_cas_df1_32x64_q31(
-  const arm_biquad_cas_df1_32x64_ins_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize)
-{
-  q31_t *pIn = pSrc;                             /*  input pointer initialization  */
-  q31_t *pOut = pDst;                            /*  output pointer initialization */
-  q63_t *pState = S->pState;                     /*  state pointer initialization  */
-  q31_t *pCoeffs = S->pCoeffs;                   /*  coeff pointer initialization  */
-  q63_t acc;                                     /*  accumulator                   */
-  q31_t Xn1, Xn2;                                /*  Input Filter state variables        */
-  q63_t Yn1, Yn2;                                /*  Output Filter state variables        */
-  q31_t b0, b1, b2, a1, a2;                      /*  Filter coefficients           */
-  q31_t Xn;                                      /*  temporary input               */
-  int32_t shift = (int32_t) S->postShift + 1;    /*  Shift to be applied to the output */
-  uint32_t sample, stage = S->numStages;         /*  loop counters                     */
-  q31_t acc_l, acc_h;                            /*  temporary output               */
-  uint32_t uShift = ((uint32_t) S->postShift + 1u);
-  uint32_t lShift = 32u - uShift;                /*  Shift to be applied to the output */
-
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  do
-  {
-    /* Reading the coefficients */
-    b0 = *pCoeffs++;
-    b1 = *pCoeffs++;
-    b2 = *pCoeffs++;
-    a1 = *pCoeffs++;
-    a2 = *pCoeffs++;
-
-    /* Reading the state values */
-    Xn1 = (q31_t) (pState[0]);
-    Xn2 = (q31_t) (pState[1]);
-    Yn1 = pState[2];
-    Yn2 = pState[3];
-
-    /* Apply loop unrolling and compute 4 output values simultaneously. */
-    /* The variable acc hold output value that is being computed and    
-     * stored in the destination buffer    
-     * acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]    
-     */
-
-    sample = blockSize >> 2u;
-
-    /* First part of the processing with loop unrolling. Compute 4 outputs at a time.    
-     ** a second loop below computes the remaining 1 to 3 samples. */
-    while(sample > 0u)
-    {
-      /* Read the input */
-      Xn = *pIn++;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-
-      /* acc =  b0 * x[n] */
-      acc = (q63_t) Xn *b0;
-
-      /* acc +=  b1 * x[n-1] */
-      acc += (q63_t) Xn1 *b1;
-
-      /* acc +=  b[2] * x[n-2] */
-      acc += (q63_t) Xn2 *b2;
-
-      /* acc +=  a1 * y[n-1] */
-      acc += mult32x64(Yn1, a1);
-
-      /* acc +=  a2 * y[n-2] */
-      acc += mult32x64(Yn2, a2);
-
-      /* The result is converted to 1.63 , Yn2 variable is reused */
-      Yn2 = acc << shift;
-
-      /* Calc lower part of acc */
-      acc_l = acc & 0xffffffff;
-
-      /* Calc upper part of acc */
-      acc_h = (acc >> 32) & 0xffffffff;
-
-      /* Apply shift for lower part of acc and upper part of acc */
-      acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-      /* Store the output in the destination buffer in 1.31 format. */
-      *pOut = acc_h;
-
-      /* Read the second input into Xn2, to reuse the value */
-      Xn2 = *pIn++;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-
-      /* acc +=  b1 * x[n-1] */
-      acc = (q63_t) Xn *b1;
-
-      /* acc =  b0 * x[n] */
-      acc += (q63_t) Xn2 *b0;
-
-      /* acc +=  b[2] * x[n-2] */
-      acc += (q63_t) Xn1 *b2;
-
-      /* acc +=  a1 * y[n-1] */
-      acc += mult32x64(Yn2, a1);
-
-      /* acc +=  a2 * y[n-2] */
-      acc += mult32x64(Yn1, a2);
-
-      /* The result is converted to 1.63, Yn1 variable is reused */
-      Yn1 = acc << shift;
-
-      /* Calc lower part of acc */
-      acc_l = acc & 0xffffffff;
-
-      /* Calc upper part of acc */
-      acc_h = (acc >> 32) & 0xffffffff;
-
-      /* Apply shift for lower part of acc and upper part of acc */
-      acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-      /* Read the third input into Xn1, to reuse the value */
-      Xn1 = *pIn++;
-
-      /* The result is converted to 1.31 */
-      /* Store the output in the destination buffer. */
-      *(pOut + 1u) = acc_h;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-
-      /* acc =  b0 * x[n] */
-      acc = (q63_t) Xn1 *b0;
-
-      /* acc +=  b1 * x[n-1] */
-      acc += (q63_t) Xn2 *b1;
-
-      /* acc +=  b[2] * x[n-2] */
-      acc += (q63_t) Xn *b2;
-
-      /* acc +=  a1 * y[n-1] */
-      acc += mult32x64(Yn1, a1);
-
-      /* acc +=  a2 * y[n-2] */
-      acc += mult32x64(Yn2, a2);
-
-      /* The result is converted to 1.63, Yn2 variable is reused  */
-      Yn2 = acc << shift;
-
-      /* Calc lower part of acc */
-      acc_l = acc & 0xffffffff;
-
-      /* Calc upper part of acc */
-      acc_h = (acc >> 32) & 0xffffffff;
-
-      /* Apply shift for lower part of acc and upper part of acc */
-      acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-      /* Store the output in the destination buffer in 1.31 format. */
-      *(pOut + 2u) = acc_h;
-
-      /* Read the fourth input into Xn, to reuse the value */
-      Xn = *pIn++;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-      /* acc =  b0 * x[n] */
-      acc = (q63_t) Xn *b0;
-
-      /* acc +=  b1 * x[n-1] */
-      acc += (q63_t) Xn1 *b1;
-
-      /* acc +=  b[2] * x[n-2] */
-      acc += (q63_t) Xn2 *b2;
-
-      /* acc +=  a1 * y[n-1] */
-      acc += mult32x64(Yn2, a1);
-
-      /* acc +=  a2 * y[n-2] */
-      acc += mult32x64(Yn1, a2);
-
-      /* The result is converted to 1.63, Yn1 variable is reused  */
-      Yn1 = acc << shift;
-
-      /* Calc lower part of acc */
-      acc_l = acc & 0xffffffff;
-
-      /* Calc upper part of acc */
-      acc_h = (acc >> 32) & 0xffffffff;
-
-      /* Apply shift for lower part of acc and upper part of acc */
-      acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-      /* Store the output in the destination buffer in 1.31 format. */
-      *(pOut + 3u) = acc_h;
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:  */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc    */
-      Xn2 = Xn1;
-      Xn1 = Xn;
-
-      /* update output pointer */
-      pOut += 4u;
-
-      /* decrement the loop counter */
-      sample--;
-    }
-
-    /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-     ** No loop unrolling is used. */
-    sample = (blockSize & 0x3u);
-
-    while(sample > 0u)
-    {
-      /* Read the input */
-      Xn = *pIn++;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-
-      /* acc =  b0 * x[n] */
-      acc = (q63_t) Xn *b0;
-      /* acc +=  b1 * x[n-1] */
-      acc += (q63_t) Xn1 *b1;
-      /* acc +=  b[2] * x[n-2] */
-      acc += (q63_t) Xn2 *b2;
-      /* acc +=  a1 * y[n-1] */
-      acc += mult32x64(Yn1, a1);
-      /* acc +=  a2 * y[n-2] */
-      acc += mult32x64(Yn2, a2);
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:  */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc    */
-      Xn2 = Xn1;
-      Xn1 = Xn;
-      Yn2 = Yn1;
-      /* The result is converted to 1.63, Yn1 variable is reused  */
-      Yn1 = acc << shift;
-
-      /* Calc lower part of acc */
-      acc_l = acc & 0xffffffff;
-
-      /* Calc upper part of acc */
-      acc_h = (acc >> 32) & 0xffffffff;
-
-      /* Apply shift for lower part of acc and upper part of acc */
-      acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-      /* Store the output in the destination buffer in 1.31 format. */
-      *pOut++ = acc_h;
-      //Yn1 = acc << shift; 
-
-      /* Store the output in the destination buffer in 1.31 format. */
-//      *pOut++ = (q31_t) (acc >> (32 - shift)); 
-
-      /* decrement the loop counter */
-      sample--;
-    }
-
-    /*  The first stage output is given as input to the second stage. */
-    pIn = pDst;
-
-    /* Reset to destination buffer working pointer */
-    pOut = pDst;
-
-    /*  Store the updated state variables back into the pState array */
-    /*  Store the updated state variables back into the pState array */
-    *pState++ = (q63_t) Xn1;
-    *pState++ = (q63_t) Xn2;
-    *pState++ = Yn1;
-    *pState++ = Yn2;
-
-  } while(--stage);
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  do
-  {
-    /* Reading the coefficients */
-    b0 = *pCoeffs++;
-    b1 = *pCoeffs++;
-    b2 = *pCoeffs++;
-    a1 = *pCoeffs++;
-    a2 = *pCoeffs++;
-
-    /* Reading the state values */
-    Xn1 = pState[0];
-    Xn2 = pState[1];
-    Yn1 = pState[2];
-    Yn2 = pState[3];
-
-    /* The variable acc hold output value that is being computed and        
-     * stored in the destination buffer            
-     * acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]            
-     */
-
-    sample = blockSize;
-
-    while(sample > 0u)
-    {
-      /* Read the input */
-      Xn = *pIn++;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-      /* acc =  b0 * x[n] */
-      acc = (q63_t) Xn *b0;
-      /* acc +=  b1 * x[n-1] */
-      acc += (q63_t) Xn1 *b1;
-      /* acc +=  b[2] * x[n-2] */
-      acc += (q63_t) Xn2 *b2;
-      /* acc +=  a1 * y[n-1] */
-      acc += mult32x64(Yn1, a1);
-      /* acc +=  a2 * y[n-2] */
-      acc += mult32x64(Yn2, a2);
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:  */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc    */
-      Xn2 = Xn1;
-      Xn1 = Xn;
-      Yn2 = Yn1;
-
-      /* The result is converted to 1.63, Yn1 variable is reused  */
-      Yn1 = acc << shift;
-
-      /* Calc lower part of acc */
-      acc_l = acc & 0xffffffff;
-
-      /* Calc upper part of acc */
-      acc_h = (acc >> 32) & 0xffffffff;
-
-      /* Apply shift for lower part of acc and upper part of acc */
-      acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-      /* Store the output in the destination buffer in 1.31 format. */
-      *pOut++ = acc_h;
-
-      //Yn1 = acc << shift; 
-
-      /* Store the output in the destination buffer in 1.31 format. */
-      //*pOut++ = (q31_t) (acc >> (32 - shift)); 
-
-      /* decrement the loop counter */
-      sample--;
-    }
-
-    /*  The first stage output is given as input to the second stage. */
-    pIn = pDst;
-
-    /* Reset to destination buffer working pointer */
-    pOut = pDst;
-
-    /*  Store the updated state variables back into the pState array */
-    *pState++ = (q63_t) Xn1;
-    *pState++ = (q63_t) Xn2;
-    *pState++ = Yn1;
-    *pState++ = Yn2;
-
-  } while(--stage);
-
-#endif /*    #ifndef ARM_MATH_CM0     */
-}
-
-  /**    
-   * @} end of BiquadCascadeDF1_32x64 group    
-   */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_f32.c
deleted file mode 100644
index ee20dfeec..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_f32.c
+++ /dev/null
@@ -1,421 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_biquad_cascade_df1_f32.c    
-*    
-* Description:	Processing function for the    
-*               floating-point Biquad cascade DirectFormI(DF1) filter.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.5  2010/04/26     
-* 	 incorporated review comments and updated with latest CMSIS layer    
-*    
-* Version 0.0.3  2010/03/10     
-*    Initial version    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @defgroup BiquadCascadeDF1 Biquad Cascade IIR Filters Using Direct Form I Structure    
- *    
- * This set of functions implements arbitrary order recursive (IIR) filters.    
- * The filters are implemented as a cascade of second order Biquad sections.    
- * The functions support Q15, Q31 and floating-point data types.  
- * Fast version of Q15 and Q31 also supported on CortexM4 and Cortex-M3.    
- *    
- * The functions operate on blocks of input and output data and each call to the function    
- * processes blockSize samples through the filter.    
- * pSrc points to the array of input data and    
- * pDst points to the array of output data.    
- * Both arrays contain blockSize values.    
- *    
- * \par Algorithm    
- * Each Biquad stage implements a second order filter using the difference equation:    
- * 
    
- *     y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]    
- * 
    
- * A Direct Form I algorithm is used with 5 coefficients and 4 state variables per stage.    
- * \image html Biquad.gif "Single Biquad filter stage"    
- * Coefficients b0, b1 and b2  multiply the input signal x[n] and are referred to as the feedforward coefficients.    
- * Coefficients a1 and a2 multiply the output signal y[n] and are referred to as the feedback coefficients.    
- * Pay careful attention to the sign of the feedback coefficients.    
- * Some design tools use the difference equation    
- * 
    
- *     y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] - a1 * y[n-1] - a2 * y[n-2]    
- * 
    
- * In this case the feedback coefficients a1 and a2 must be negated when used with the CMSIS DSP Library.    
- *    
- * \par    
- * Higher order filters are realized as a cascade of second order sections.    
- * numStages refers to the number of second order stages used.    
- * For example, an 8th order filter would be realized with numStages=4 second order stages.    
- * \image html BiquadCascade.gif "8th order filter using a cascade of Biquad stages"    
- * A 9th order filter would be realized with numStages=5 second order stages with the coefficients for one of the stages configured as a first order filter (b2=0 and a2=0).    
- *    
- * \par    
- * The pState points to state variables array.    
- * Each Biquad stage has 4 state variables x[n-1], x[n-2], y[n-1], and y[n-2].    
- * The state variables are arranged in the pState array as:    
- * 
    
- *     {x[n-1], x[n-2], y[n-1], y[n-2]}    
- * 
    
- *    
- * \par    
- * The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on.    
- * The state array has a total length of 4*numStages values.    
- * The state variables are updated after each block of data is processed, the coefficients are untouched.    
- *    
- * \par Instance Structure    
- * The coefficients and state variables for a filter are stored together in an instance data structure.    
- * A separate instance structure must be defined for each filter.    
- * Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.    
- * There are separate instance structure declarations for each of the 3 supported data types.    
- *    
- * \par Init Functions    
- * There is also an associated initialization function for each data type.    
- * The initialization function performs following operations:    
- * - Sets the values of the internal structure fields.    
- * - Zeros out the values in the state buffer.    
- *    
- * \par    
- * Use of the initialization function is optional.    
- * However, if the initialization function is used, then the instance structure cannot be placed into a const data section.    
- * To place an instance structure into a const data section, the instance structure must be manually initialized.    
- * Set the values in the state buffer to zeros before static initialization.    
- * The code below statically initializes each of the 3 different data type filter instance structures    
- * 
    
- *     arm_biquad_casd_df1_inst_f32 S1 = {numStages, pState, pCoeffs};    
- *     arm_biquad_casd_df1_inst_q15 S2 = {numStages, pState, pCoeffs, postShift};    
- *     arm_biquad_casd_df1_inst_q31 S3 = {numStages, pState, pCoeffs, postShift};    
- * 
    
- * where numStages is the number of Biquad stages in the filter; pState is the address of the state buffer;    
- * pCoeffs is the address of the coefficient buffer; postShift shift to be applied.    
- *    
- * \par Fixed-Point Behavior    
- * Care must be taken when using the Q15 and Q31 versions of the Biquad Cascade filter functions.    
- * Following issues must be considered:    
- * - Scaling of coefficients    
- * - Filter gain    
- * - Overflow and saturation    
- *    
- * \par    
- * Scaling of coefficients:     
- * Filter coefficients are represented as fractional values and    
- * coefficients are restricted to lie in the range [-1 +1).    
- * The fixed-point functions have an additional scaling parameter postShift    
- * which allow the filter coefficients to exceed the range [+1 -1).    
- * At the output of the filter's accumulator is a shift register which shifts the result by postShift bits.    
- * \image html BiquadPostshift.gif "Fixed-point Biquad with shift by postShift bits after accumulator"    
- * This essentially scales the filter coefficients by 2^postShift.    
- * For example, to realize the coefficients    
- * 
    
- *    {1.5, -0.8, 1.2, 1.6, -0.9}    
- * 
    
- * set the pCoeffs array to:    
- * 
    
- *    {0.75, -0.4, 0.6, 0.8, -0.45}    
- * 
    
- * and set postShift=1    
- *    
- * \par    
- * Filter gain:     
- * The frequency response of a Biquad filter is a function of its coefficients.    
- * It is possible for the gain through the filter to exceed 1.0 meaning that the filter increases the amplitude of certain frequencies.    
- * This means that an input signal with amplitude < 1.0 may result in an output > 1.0 and these are saturated or overflowed based on the implementation of the filter.    
- * To avoid this behavior the filter needs to be scaled down such that its peak gain < 1.0 or the input signal must be scaled down so that the combination of input and filter are never overflowed.    
- *    
- * \par    
- * Overflow and saturation:     
- * For Q15 and Q31 versions, it is described separately as part of the function specific documentation below.    
- */
-
-/**    
- * @addtogroup BiquadCascadeDF1    
- * @{    
- */
-
-/**    
- * @param[in]  *S         points to an instance of the floating-point Biquad cascade structure.    
- * @param[in]  *pSrc      points to the block of input data.    
- * @param[out] *pDst      points to the block of output data.    
- * @param[in]  blockSize  number of samples to process per call.    
- * @return     none.    
- *    
- */
-
-void arm_biquad_cascade_df1_f32(
-  const arm_biquad_casd_df1_inst_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize)
-{
-  float32_t *pIn = pSrc;                         /*  source pointer            */
-  float32_t *pOut = pDst;                        /*  destination pointer       */
-  float32_t *pState = S->pState;                 /*  pState pointer            */
-  float32_t *pCoeffs = S->pCoeffs;               /*  coefficient pointer       */
-  float32_t acc;                                 /*  Simulates the accumulator */
-  float32_t b0, b1, b2, a1, a2;                  /*  Filter coefficients       */
-  float32_t Xn1, Xn2, Yn1, Yn2;                  /*  Filter pState variables   */
-  float32_t Xn;                                  /*  temporary input           */
-  uint32_t sample, stage = S->numStages;         /*  loop counters             */
-
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  do
-  {
-    /* Reading the coefficients */
-    b0 = *pCoeffs++;
-    b1 = *pCoeffs++;
-    b2 = *pCoeffs++;
-    a1 = *pCoeffs++;
-    a2 = *pCoeffs++;
-
-    /* Reading the pState values */
-    Xn1 = pState[0];
-    Xn2 = pState[1];
-    Yn1 = pState[2];
-    Yn2 = pState[3];
-
-    /* Apply loop unrolling and compute 4 output values simultaneously. */
-    /*      The variable acc hold output values that are being computed:    
-     *    
-     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1]   + a2 * y[n-2]    
-     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1]   + a2 * y[n-2]    
-     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1]   + a2 * y[n-2]    
-     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1]   + a2 * y[n-2]    
-     */
-
-    sample = blockSize >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-     ** a second loop below computes the remaining 1 to 3 samples. */
-    while(sample > 0u)
-    {
-      /* Read the first input */
-      Xn = *pIn++;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-      Yn2 = (b0 * Xn) + (b1 * Xn1) + (b2 * Xn2) + (a1 * Yn1) + (a2 * Yn2);
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = Yn2;
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:  */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc   */
-
-      /* Read the second input */
-      Xn2 = *pIn++;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-      Yn1 = (b0 * Xn2) + (b1 * Xn) + (b2 * Xn1) + (a1 * Yn2) + (a2 * Yn1);
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = Yn1;
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:  */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc   */
-
-      /* Read the third input */
-      Xn1 = *pIn++;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-      Yn2 = (b0 * Xn1) + (b1 * Xn2) + (b2 * Xn) + (a1 * Yn1) + (a2 * Yn2);
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = Yn2;
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as: */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc   */
-
-      /* Read the forth input */
-      Xn = *pIn++;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-      Yn1 = (b0 * Xn) + (b1 * Xn1) + (b2 * Xn2) + (a1 * Yn2) + (a2 * Yn1);
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = Yn1;
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:  */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc   */
-      Xn2 = Xn1;
-      Xn1 = Xn;
-
-      /* decrement the loop counter */
-      sample--;
-
-    }
-
-    /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-     ** No loop unrolling is used. */
-    sample = blockSize & 0x3u;
-
-    while(sample > 0u)
-    {
-      /* Read the input */
-      Xn = *pIn++;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-      acc = (b0 * Xn) + (b1 * Xn1) + (b2 * Xn2) + (a1 * Yn1) + (a2 * Yn2);
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = acc;
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:    */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc   */
-      Xn2 = Xn1;
-      Xn1 = Xn;
-      Yn2 = Yn1;
-      Yn1 = acc;
-
-      /* decrement the loop counter */
-      sample--;
-
-    }
-
-    /*  Store the updated state variables back into the pState array */
-    *pState++ = Xn1;
-    *pState++ = Xn2;
-    *pState++ = Yn1;
-    *pState++ = Yn2;
-
-    /*  The first stage goes from the input buffer to the output buffer. */
-    /*  Subsequent numStages  occur in-place in the output buffer */
-    pIn = pDst;
-
-    /* Reset the output pointer */
-    pOut = pDst;
-
-    /* decrement the loop counter */
-    stage--;
-
-  } while(stage > 0u);
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  do
-  {
-    /* Reading the coefficients */
-    b0 = *pCoeffs++;
-    b1 = *pCoeffs++;
-    b2 = *pCoeffs++;
-    a1 = *pCoeffs++;
-    a2 = *pCoeffs++;
-
-    /* Reading the pState values */
-    Xn1 = pState[0];
-    Xn2 = pState[1];
-    Yn1 = pState[2];
-    Yn2 = pState[3];
-
-    /*      The variables acc holds the output value that is computed:        
-     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1]   + a2 * y[n-2]        
-     */
-
-    sample = blockSize;
-
-    while(sample > 0u)
-    {
-      /* Read the input */
-      Xn = *pIn++;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-      acc = (b0 * Xn) + (b1 * Xn1) + (b2 * Xn2) + (a1 * Yn1) + (a2 * Yn2);
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = acc;
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:    */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc   */
-      Xn2 = Xn1;
-      Xn1 = Xn;
-      Yn2 = Yn1;
-      Yn1 = acc;
-
-      /* decrement the loop counter */
-      sample--;
-    }
-
-    /*  Store the updated state variables back into the pState array */
-    *pState++ = Xn1;
-    *pState++ = Xn2;
-    *pState++ = Yn1;
-    *pState++ = Yn2;
-
-    /*  The first stage goes from the input buffer to the output buffer. */
-    /*  Subsequent numStages  occur in-place in the output buffer */
-    pIn = pDst;
-
-    /* Reset the output pointer */
-    pOut = pDst;
-
-    /* decrement the loop counter */
-    stage--;
-
-  } while(stage > 0u);
-
-#endif /*   #ifndef ARM_MATH_CM0         */
-
-}
-
-
-  /**    
-   * @} end of BiquadCascadeDF1 group    
-   */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q15.c
deleted file mode 100644
index 29afffa03..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q15.c
+++ /dev/null
@@ -1,283 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_biquad_cascade_df1_fast_q15.c    
-*    
-* Description:	Fast processing function for the    
-*				Q15 Biquad cascade filter.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.9  2010/08/16     
-*    Initial version    
-*    
-*    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup BiquadCascadeDF1    
- * @{    
- */
-
-/**    
- * @details    
- * @param[in]  *S points to an instance of the Q15 Biquad cascade structure.    
- * @param[in]  *pSrc points to the block of input data.    
- * @param[out] *pDst points to the block of output data.    
- * @param[in]  blockSize number of samples to process per call.    
- * @return none.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * This fast version uses a 32-bit accumulator with 2.30 format.    
- * The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit.    
- * Thus, if the accumulator result overflows it wraps around and distorts the result.    
- * In order to avoid overflows completely the input signal must be scaled down by two bits and lie in the range [-0.25 +0.25).    
- * The 2.30 accumulator is then shifted by postShift bits and the result truncated to 1.15 format by discarding the low 16 bits.    
- *    
- * \par    
- * Refer to the function arm_biquad_cascade_df1_q15() for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion.  Both the slow and the fast versions use the same instance structure.    
- * Use the function arm_biquad_cascade_df1_init_q15() to initialize the filter structure.    
- *    
- */
-
-void arm_biquad_cascade_df1_fast_q15(
-  const arm_biquad_casd_df1_inst_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-  q15_t *pIn = pSrc;                             /*  Source pointer                               */
-  q15_t *pOut = pDst;                            /*  Destination pointer                          */
-  q31_t in;                                      /*  Temporary variable to hold input value       */
-  q31_t out;                                     /*  Temporary variable to hold output value      */
-  q31_t b0;                                      /*  Temporary variable to hold bo value          */
-  q31_t b1, a1;                                  /*  Filter coefficients                          */
-  q31_t state_in, state_out;                     /*  Filter state variables                       */
-  q31_t acc;                                     /*  Accumulator                                  */
-  int32_t shift = (int32_t) (15 - S->postShift); /*  Post shift                                   */
-  q15_t *pState = S->pState;                     /*  State pointer                                */
-  q15_t *pCoeffs = S->pCoeffs;                   /*  Coefficient pointer                          */
-  uint32_t sample, stage = S->numStages;         /*  Stage loop counter                           */
-
-
-
-  do
-  {
-
-    /* Read the b0 and 0 coefficients using SIMD  */
-    b0 = *__SIMD32(pCoeffs)++;
-
-    /* Read the b1 and b2 coefficients using SIMD */
-    b1 = *__SIMD32(pCoeffs)++;
-
-    /* Read the a1 and a2 coefficients using SIMD */
-    a1 = *__SIMD32(pCoeffs)++;
-
-    /* Read the input state values from the state buffer:  x[n-1], x[n-2] */
-    state_in = *__SIMD32(pState)++;
-
-    /* Read the output state values from the state buffer:  y[n-1], y[n-2] */
-    state_out = *__SIMD32(pState)--;
-
-    /* Apply loop unrolling and compute 2 output values simultaneously. */
-    /*      The variable acc hold output values that are being computed:       
-     *    
-     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]       
-     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]       
-     */
-    sample = blockSize >> 1u;
-
-    /* First part of the processing with loop unrolling.  Compute 2 outputs at a time.    
-     ** a second loop below computes the remaining 1 sample. */
-    while(sample > 0u)
-    {
-
-      /* Read the input */
-      in = *__SIMD32(pIn)++;
-
-      /* out =  b0 * x[n] + 0 * 0 */
-      out = __SMUAD(b0, in);
-      /* acc =  b1 * x[n-1] + acc +=  b2 * x[n-2] + out */
-      acc = __SMLAD(b1, state_in, out);
-      /* acc +=  a1 * y[n-1] + acc +=  a2 * y[n-2] */
-      acc = __SMLAD(a1, state_out, acc);
-
-      /* The result is converted from 3.29 to 1.31 and then saturation is applied */
-      out = __SSAT((acc >> shift), 16);
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:  */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc   */
-      /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */
-      /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */
-
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-      state_in = __PKHBT(in, state_in, 16);
-      state_out = __PKHBT(out, state_out, 16);
-
-#else
-
-      state_in = __PKHBT(state_in >> 16, (in >> 16), 16);
-      state_out = __PKHBT(state_out >> 16, (out), 16);
-
-#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-      /* out =  b0 * x[n] + 0 * 0 */
-      out = __SMUADX(b0, in);
-      /* acc0 =  b1 * x[n-1] , acc0 +=  b2 * x[n-2] + out */
-      acc = __SMLAD(b1, state_in, out);
-      /* acc +=  a1 * y[n-1] + acc +=  a2 * y[n-2] */
-      acc = __SMLAD(a1, state_out, acc);
-
-      /* The result is converted from 3.29 to 1.31 and then saturation is applied */
-      out = __SSAT((acc >> shift), 16);
-
-
-      /* Store the output in the destination buffer. */
-
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-      *__SIMD32(pOut)++ = __PKHBT(state_out, out, 16);
-
-#else
-
-      *__SIMD32(pOut)++ = __PKHBT(out, state_out >> 16, 16);
-
-#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:  */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc   */
-      /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */
-      /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */
-
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-      state_in = __PKHBT(in >> 16, state_in, 16);
-      state_out = __PKHBT(out, state_out, 16);
-
-#else
-
-      state_in = __PKHBT(state_in >> 16, in, 16);
-      state_out = __PKHBT(state_out >> 16, out, 16);
-
-#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-
-      /* Decrement the loop counter */
-      sample--;
-
-    }
-
-    /* If the blockSize is not a multiple of 2, compute any remaining output samples here.    
-     ** No loop unrolling is used. */
-
-    if((blockSize & 0x1u) != 0u)
-    {
-      /* Read the input */
-      in = *pIn++;
-
-      /* out =  b0 * x[n] + 0 * 0 */
-
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-      out = __SMUAD(b0, in);
-
-#else
-
-      out = __SMUADX(b0, in);
-
-#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-      /* acc =  b1 * x[n-1], acc +=  b2 * x[n-2] + out */
-      acc = __SMLAD(b1, state_in, out);
-      /* acc +=  a1 * y[n-1] + acc +=  a2 * y[n-2] */
-      acc = __SMLAD(a1, state_out, acc);
-
-      /* The result is converted from 3.29 to 1.31 and then saturation is applied */
-      out = __SSAT((acc >> shift), 16);
-
-      /* Store the output in the destination buffer. */
-      *pOut++ = (q15_t) out;
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:  */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc   */
-      /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */
-      /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */
-
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-      state_in = __PKHBT(in, state_in, 16);
-      state_out = __PKHBT(out, state_out, 16);
-
-#else
-
-      state_in = __PKHBT(state_in >> 16, in, 16);
-      state_out = __PKHBT(state_out >> 16, out, 16);
-
-#endif /*   #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-    }
-
-    /*  The first stage goes from the input buffer to the output buffer.  */
-    /*  Subsequent (numStages - 1) occur in-place in the output buffer  */
-    pIn = pDst;
-
-    /* Reset the output pointer */
-    pOut = pDst;
-
-    /*  Store the updated state variables back into the state array */
-    *__SIMD32(pState)++ = state_in;
-    *__SIMD32(pState)++ = state_out;
-
-
-    /* Decrement the loop counter */
-    stage--;
-
-  } while(stage > 0u);
-}
-
-
-/**    
- * @} end of BiquadCascadeDF1 group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q31.c
deleted file mode 100644
index 0a479fe6b..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q31.c
+++ /dev/null
@@ -1,275 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_biquad_cascade_df1_fast_q31.c    
-*    
-* Description:	Processing function for the    
-*				Q31 Fast Biquad cascade DirectFormI(DF1) filter.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.9  2010/08/27     
-*    Initial version    
-*    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup BiquadCascadeDF1    
- * @{    
- */
-
-/**    
- * @details    
- *    
- * @param[in]  *S        points to an instance of the Q31 Biquad cascade structure.    
- * @param[in]  *pSrc     points to the block of input data.    
- * @param[out] *pDst     points to the block of output data.    
- * @param[in]  blockSize number of samples to process per call.    
- * @return 	   none.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * This function is optimized for speed at the expense of fixed-point precision and overflow protection.    
- * The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format.    
- * These intermediate results are added to a 2.30 accumulator.    
- * Finally, the accumulator is saturated and converted to a 1.31 result.    
- * The fast version has the same overflow behavior as the standard version and provides less precision since it discards the low 32 bits of each multiplication result.    
- * In order to avoid overflows completely the input signal must be scaled down by two bits and lie in the range [-0.25 +0.25). Use the intialization function    
- * arm_biquad_cascade_df1_init_q31() to initialize filter structure.    
- *    
- * \par    
- * Refer to the function arm_biquad_cascade_df1_q31() for a slower implementation of this function which uses 64-bit accumulation to provide higher precision.  Both the slow and the fast versions use the same instance structure.    
- * Use the function arm_biquad_cascade_df1_init_q31() to initialize the filter structure.    
- */
-
-void arm_biquad_cascade_df1_fast_q31(
-  const arm_biquad_casd_df1_inst_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize)
-{
-  q31_t acc;                                     /*  accumulator                   */
-  q31_t Xn1, Xn2, Yn1, Yn2;                      /*  Filter state variables        */
-  q31_t b0, b1, b2, a1, a2;                      /*  Filter coefficients           */
-  q31_t *pIn = pSrc;                             /*  input pointer initialization  */
-  q31_t *pOut = pDst;                            /*  output pointer initialization */
-  q31_t *pState = S->pState;                     /*  pState pointer initialization */
-  q31_t *pCoeffs = S->pCoeffs;                   /*  coeff pointer initialization  */
-  q31_t Xn;                                      /*  temporary input               */
-  int32_t shift = (int32_t) S->postShift + 1;    /*  Shift to be applied to the output */
-  uint32_t sample, stage = S->numStages;         /*  loop counters                     */
-
-
-  do
-  {
-    /* Reading the coefficients */
-    b0 = *pCoeffs++;
-    b1 = *pCoeffs++;
-    b2 = *pCoeffs++;
-    a1 = *pCoeffs++;
-    a2 = *pCoeffs++;
-
-    /* Reading the state values */
-    Xn1 = pState[0];
-    Xn2 = pState[1];
-    Yn1 = pState[2];
-    Yn2 = pState[3];
-
-    /* Apply loop unrolling and compute 4 output values simultaneously. */
-    /*      The variables acc ... acc3 hold output values that are being computed:       
-     *       
-     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]       
-     */
-
-    sample = blockSize >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.       
-     ** a second loop below computes the remaining 1 to 3 samples. */
-    while(sample > 0u)
-    {
-      /* Read the input */
-      Xn = *pIn;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-      /* acc =  b0 * x[n] */
-      acc = (q31_t) (((q63_t) b1 * Xn1) >> 32);
-      /* acc +=  b1 * x[n-1] */
-      acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b0 * (Xn))) >> 32);
-      /* acc +=  b[2] * x[n-2] */
-      acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn2))) >> 32);
-      /* acc +=  a1 * y[n-1] */
-      acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn1))) >> 32);
-      /* acc +=  a2 * y[n-2] */
-      acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn2))) >> 32);
-
-      /* The result is converted to 1.31 , Yn2 variable is reused */
-      Yn2 = acc << shift;
-
-      /* Read the second input */
-      Xn2 = *(pIn + 1u);
-
-      /* Store the output in the destination buffer. */
-      *pOut = Yn2;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-      /* acc =  b0 * x[n] */
-      acc = (q31_t) (((q63_t) b0 * (Xn2)) >> 32);
-      /* acc +=  b1 * x[n-1] */
-      acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn))) >> 32);
-      /* acc +=  b[2] * x[n-2] */
-      acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn1))) >> 32);
-      /* acc +=  a1 * y[n-1] */
-      acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn2))) >> 32);
-      /* acc +=  a2 * y[n-2] */
-      acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn1))) >> 32);
-
-      /* The result is converted to 1.31, Yn1 variable is reused  */
-      Yn1 = acc << shift;
-
-      /* Read the third input  */
-      Xn1 = *(pIn + 2u);
-
-      /* Store the output in the destination buffer. */
-      *(pOut + 1u) = Yn1;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-      /* acc =  b0 * x[n] */
-      acc = (q31_t) (((q63_t) b0 * (Xn1)) >> 32);
-      /* acc +=  b1 * x[n-1] */
-      acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn2))) >> 32);
-      /* acc +=  b[2] * x[n-2] */
-      acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn))) >> 32);
-      /* acc +=  a1 * y[n-1] */
-      acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn1))) >> 32);
-      /* acc +=  a2 * y[n-2] */
-      acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn2))) >> 32);
-
-      /* The result is converted to 1.31, Yn2 variable is reused  */
-      Yn2 = acc << shift;
-
-      /* Read the forth input */
-      Xn = *(pIn + 3u);
-
-      /* Store the output in the destination buffer. */
-      *(pOut + 2u) = Yn2;
-      pIn += 4u;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-      /* acc =  b0 * x[n] */
-      acc = (q31_t) (((q63_t) b0 * (Xn)) >> 32);
-      /* acc +=  b1 * x[n-1] */
-      acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn1))) >> 32);
-      /* acc +=  b[2] * x[n-2] */
-      acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn2))) >> 32);
-      /* acc +=  a1 * y[n-1] */
-      acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn2))) >> 32);
-      /* acc +=  a2 * y[n-2] */
-      acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn1))) >> 32);
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:  */
-      /* Xn2 = Xn1    */
-      Xn2 = Xn1;
-
-      /* The result is converted to 1.31, Yn1 variable is reused  */
-      Yn1 = acc << shift;
-
-      /* Xn1 = Xn     */
-      Xn1 = Xn;
-
-      /* Store the output in the destination buffer. */
-      *(pOut + 3u) = Yn1;
-      pOut += 4u;
-
-      /* decrement the loop counter */
-      sample--;
-    }
-
-    /* If the blockSize is not a multiple of 4, compute any remaining output samples here.       
-     ** No loop unrolling is used. */
-    sample = (blockSize & 0x3u);
-
-    while(sample > 0u)
-    {
-      /* Read the input */
-      Xn = *pIn++;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-      /* acc =  b0 * x[n] */
-      acc = (q31_t) (((q63_t) b0 * (Xn)) >> 32);
-      /* acc +=  b1 * x[n-1] */
-      acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn1))) >> 32);
-      /* acc +=  b[2] * x[n-2] */
-      acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn2))) >> 32);
-      /* acc +=  a1 * y[n-1] */
-      acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn1))) >> 32);
-      /* acc +=  a2 * y[n-2] */
-      acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn2))) >> 32);
-      /* The result is converted to 1.31  */
-      acc = acc << shift;
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:  */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc    */
-      Xn2 = Xn1;
-      Xn1 = Xn;
-      Yn2 = Yn1;
-      Yn1 = acc;
-
-      /* Store the output in the destination buffer. */
-      *pOut++ = acc;
-
-      /* decrement the loop counter */
-      sample--;
-    }
-
-    /*  The first stage goes from the input buffer to the output buffer. */
-    /*  Subsequent stages occur in-place in the output buffer */
-    pIn = pDst;
-
-    /* Reset to destination pointer */
-    pOut = pDst;
-
-    /*  Store the updated state variables back into the pState array */
-    *pState++ = Xn1;
-    *pState++ = Xn2;
-    *pState++ = Yn1;
-    *pState++ = Yn2;
-
-  } while(--stage);
-}
-
-/**    
-  * @} end of BiquadCascadeDF1 group    
-  */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_init_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_init_f32.c
deleted file mode 100644
index d50b69f3c..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_init_f32.c
+++ /dev/null
@@ -1,107 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_biquad_cascade_df1_init_f32.c    
-*    
-* Description:  floating-point Biquad cascade DirectFormI(DF1) filter initialization function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.5  2010/04/26     
-* 	 incorporated review comments and updated with latest CMSIS layer    
-*    
-* Version 0.0.3  2010/03/10     
-*    Initial version    
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup BiquadCascadeDF1    
- * @{    
- */
-
-/**    
- * @details    
- * @brief  Initialization function for the floating-point Biquad cascade filter.    
- * @param[in,out] *S           points to an instance of the floating-point Biquad cascade structure.    
- * @param[in]     numStages    number of 2nd order stages in the filter.    
- * @param[in]     *pCoeffs     points to the filter coefficients array.    
- * @param[in]     *pState      points to the state array.    
- * @return        none    
- *    
- *    
- * Coefficient and State Ordering:    
- *    
- * \par    
- * The coefficients are stored in the array pCoeffs in the following order:    
- * 
    
- *     {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}    
- * 
    
- *    
- * \par    
- * where b1x and a1x are the coefficients for the first stage,    
- * b2x and a2x are the coefficients for the second stage,    
- * and so on.  The pCoeffs array contains a total of 5*numStages values.    
- *    
- * \par    
- * The pState is a pointer to state array.    
- * Each Biquad stage has 4 state variables x[n-1], x[n-2], y[n-1], and y[n-2].    
- * The state variables are arranged in the pState array as:    
- * 
    
- *     {x[n-1], x[n-2], y[n-1], y[n-2]}    
- * 
    
- * The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on.    
- * The state array has a total length of 4*numStages values.    
- * The state variables are updated after each block of data is processed; the coefficients are untouched.    
- *    
- */
-
-void arm_biquad_cascade_df1_init_f32(
-  arm_biquad_casd_df1_inst_f32 * S,
-  uint8_t numStages,
-  float32_t * pCoeffs,
-  float32_t * pState)
-{
-  /* Assign filter stages */
-  S->numStages = numStages;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Clear state buffer and size is always 4 * numStages */
-  memset(pState, 0, (4u * (uint32_t) numStages) * sizeof(float32_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-}
-
-/**    
- * @} end of BiquadCascadeDF1 group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q15.c
deleted file mode 100644
index d5fda28ac..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q15.c
+++ /dev/null
@@ -1,109 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_biquad_cascade_df1_init_q15.c    
-*    
-* Description:  Q15 Biquad cascade DirectFormI(DF1) filter initialization function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.5  2010/04/26     
-* 	 incorporated review comments and updated with latest CMSIS layer    
-*    
-* Version 0.0.3  2010/03/10     
-*    Initial version    
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup BiquadCascadeDF1    
- * @{    
- */
-
-/**    
- * @details    
- *    
- * @param[in,out] *S           points to an instance of the Q15 Biquad cascade structure.    
- * @param[in]     numStages    number of 2nd order stages in the filter.    
- * @param[in]     *pCoeffs     points to the filter coefficients.    
- * @param[in]     *pState      points to the state buffer.    
- * @param[in]     postShift    Shift to be applied to the accumulator result. Varies according to the coefficients format    
- * @return        none    
- *    
- * Coefficient and State Ordering:    
- *    
- * \par    
- * The coefficients are stored in the array pCoeffs in the following order:    
- * 
    
- *     {b10, 0, b11, b12, a11, a12, b20, 0, b21, b22, a21, a22, ...}    
- * 
    
- * where b1x and a1x are the coefficients for the first stage,    
- * b2x and a2x are the coefficients for the second stage,    
- * and so on.  The pCoeffs array contains a total of 6*numStages values.    
- * The zero coefficient between b1 and b2 facilities  use of 16-bit SIMD instructions on the Cortex-M4.    
- *    
- * \par    
- * The state variables are stored in the array pState.    
- * Each Biquad stage has 4 state variables x[n-1], x[n-2], y[n-1], and y[n-2].    
- * The state variables are arranged in the pState array as:    
- * 
    
- *     {x[n-1], x[n-2], y[n-1], y[n-2]}    
- * 
    
- * The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on.    
- * The state array has a total length of 4*numStages values.    
- * The state variables are updated after each block of data is processed; the coefficients are untouched.    
- */
-
-void arm_biquad_cascade_df1_init_q15(
-  arm_biquad_casd_df1_inst_q15 * S,
-  uint8_t numStages,
-  q15_t * pCoeffs,
-  q15_t * pState,
-  int8_t postShift)
-{
-  /* Assign filter stages */
-  S->numStages = numStages;
-
-  /* Assign postShift to be applied to the output */
-  S->postShift = postShift;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Clear state buffer and size is always 4 * numStages */
-  memset(pState, 0, (4u * (uint32_t) numStages) * sizeof(q15_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-}
-
-/**    
- * @} end of BiquadCascadeDF1 group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q31.c
deleted file mode 100644
index dbbb8aa2b..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q31.c
+++ /dev/null
@@ -1,109 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_biquad_cascade_df1_init_q31.c    
-*    
-* Description:	Q31 Biquad cascade DirectFormI(DF1) filter initialization function.    
-*    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.5  2010/04/26     
-* 	 incorporated review comments and updated with latest CMSIS layer    
-*    
-* Version 0.0.3  2010/03/10     
-*    Initial version    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup BiquadCascadeDF1    
- * @{    
- */
-
-/**    
- * @details    
- *    
- * @param[in,out] *S           points to an instance of the Q31 Biquad cascade structure.    
- * @param[in]     numStages    number of 2nd order stages in the filter.    
- * @param[in]     *pCoeffs     points to the filter coefficients buffer.    
- * @param[in]     *pState      points to the state buffer.    
- * @param[in]     postShift    Shift to be applied after the accumulator.  Varies according to the coefficients format    
- * @return        none    
- *    
- * Coefficient and State Ordering:    
- *    
- * \par    
- * The coefficients are stored in the array pCoeffs in the following order:    
- * 
    
- *     {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}    
- * 
    
- * where b1x and a1x are the coefficients for the first stage,    
- * b2x and a2x are the coefficients for the second stage,    
- * and so on.  The pCoeffs array contains a total of 5*numStages values.    
- *    
- * \par    
- * The pState points to state variables array.    
- * Each Biquad stage has 4 state variables x[n-1], x[n-2], y[n-1], and y[n-2].    
- * The state variables are arranged in the pState array as:    
- * 
    
- *     {x[n-1], x[n-2], y[n-1], y[n-2]}    
- * 
    
- * The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on.    
- * The state array has a total length of 4*numStages values.    
- * The state variables are updated after each block of data is processed; the coefficients are untouched.    
- */
-
-void arm_biquad_cascade_df1_init_q31(
-  arm_biquad_casd_df1_inst_q31 * S,
-  uint8_t numStages,
-  q31_t * pCoeffs,
-  q31_t * pState,
-  int8_t postShift)
-{
-  /* Assign filter stages */
-  S->numStages = numStages;
-
-  /* Assign postShift to be applied to the output */
-  S->postShift = postShift;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Clear state buffer and size is always 4 * numStages */
-  memset(pState, 0, (4u * (uint32_t) numStages) * sizeof(q31_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-}
-
-/**    
- * @} end of BiquadCascadeDF1 group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_q15.c
deleted file mode 100644
index 484cd85e8..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_q15.c
+++ /dev/null
@@ -1,408 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_biquad_cascade_df1_q15.c    
-*    
-* Description:	Processing function for the    
-*				Q15 Biquad cascade DirectFormI(DF1) filter.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.5  2010/04/26     
-* 	 incorporated review comments and updated with latest CMSIS layer    
-*    
-* Version 0.0.3  2010/03/10     
-*    Initial version    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup BiquadCascadeDF1    
- * @{    
- */
-
-/**    
- * @brief Processing function for the Q15 Biquad cascade filter.    
- * @param[in]  *S points to an instance of the Q15 Biquad cascade structure.    
- * @param[in]  *pSrc points to the block of input data.    
- * @param[out] *pDst points to the location where the output result is written.    
- * @param[in]  blockSize number of samples to process per call.    
- * @return none.    
- *    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function is implemented using a 64-bit internal accumulator.    
- * Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result.    
- * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.    
- * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.    
- * The accumulator is then shifted by postShift bits to truncate the result to 1.15 format by discarding the low 16 bits.    
- * Finally, the result is saturated to 1.15 format.    
- *    
- * \par    
- * Refer to the function arm_biquad_cascade_df1_fast_q15() for a faster but less precise implementation of this filter for Cortex-M3 and Cortex-M4.    
- */
-
-void arm_biquad_cascade_df1_q15(
-  const arm_biquad_casd_df1_inst_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q15_t *pIn = pSrc;                             /*  Source pointer                               */
-  q15_t *pOut = pDst;                            /*  Destination pointer                          */
-  q31_t in;                                      /*  Temporary variable to hold input value       */
-  q31_t out;                                     /*  Temporary variable to hold output value      */
-  q31_t b0;                                      /*  Temporary variable to hold bo value          */
-  q31_t b1, a1;                                  /*  Filter coefficients                          */
-  q31_t state_in, state_out;                     /*  Filter state variables                       */
-  q31_t acc_l, acc_h;
-  q63_t acc;                                     /*  Accumulator                                  */
-  int32_t lShift = (15 - (int32_t) S->postShift);       /*  Post shift                                   */
-  q15_t *pState = S->pState;                     /*  State pointer                                */
-  q15_t *pCoeffs = S->pCoeffs;                   /*  Coefficient pointer                          */
-  uint32_t sample, stage = (uint32_t) S->numStages;     /*  Stage loop counter                           */
-  int32_t uShift = (32 - lShift);
-
-  do
-  {
-    /* Read the b0 and 0 coefficients using SIMD  */
-    b0 = *__SIMD32(pCoeffs)++;
-
-    /* Read the b1 and b2 coefficients using SIMD */
-    b1 = *__SIMD32(pCoeffs)++;
-
-    /* Read the a1 and a2 coefficients using SIMD */
-    a1 = *__SIMD32(pCoeffs)++;
-
-    /* Read the input state values from the state buffer:  x[n-1], x[n-2] */
-    state_in = *__SIMD32(pState)++;
-
-    /* Read the output state values from the state buffer:  y[n-1], y[n-2] */
-    state_out = *__SIMD32(pState)--;
-
-    /* Apply loop unrolling and compute 2 output values simultaneously. */
-    /*      The variable acc hold output values that are being computed:    
-     *    
-     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]    
-     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]    
-     */
-    sample = blockSize >> 1u;
-
-    /* First part of the processing with loop unrolling.  Compute 2 outputs at a time.    
-     ** a second loop below computes the remaining 1 sample. */
-    while(sample > 0u)
-    {
-
-      /* Read the input */
-      in = *__SIMD32(pIn)++;
-
-      /* out =  b0 * x[n] + 0 * 0 */
-      out = __SMUAD(b0, in);
-
-      /* acc +=  b1 * x[n-1] +  b2 * x[n-2] + out */
-      acc = __SMLALD(b1, state_in, out);
-      /* acc +=  a1 * y[n-1] +  a2 * y[n-2] */
-      acc = __SMLALD(a1, state_out, acc);
-
-      /* The result is converted from 3.29 to 1.31 if postShift = 1, and then saturation is applied */
-      /* Calc lower part of acc */
-      acc_l = acc & 0xffffffff;
-
-      /* Calc upper part of acc */
-      acc_h = (acc >> 32) & 0xffffffff;
-
-      /* Apply shift for lower part of acc and upper part of acc */
-      out = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-      out = __SSAT(out, 16);
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:  */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc   */
-      /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */
-      /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */
-
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-      state_in = __PKHBT(in, state_in, 16);
-      state_out = __PKHBT(out, state_out, 16);
-
-#else
-
-      state_in = __PKHBT(state_in >> 16, (in >> 16), 16);
-      state_out = __PKHBT(state_out >> 16, (out), 16);
-
-#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-      /* out =  b0 * x[n] + 0 * 0 */
-      out = __SMUADX(b0, in);
-      /* acc +=  b1 * x[n-1] +  b2 * x[n-2] + out */
-      acc = __SMLALD(b1, state_in, out);
-      /* acc +=  a1 * y[n-1] + a2 * y[n-2] */
-      acc = __SMLALD(a1, state_out, acc);
-
-      /* The result is converted from 3.29 to 1.31 if postShift = 1, and then saturation is applied */
-      /* Calc lower part of acc */
-      acc_l = acc & 0xffffffff;
-
-      /* Calc upper part of acc */
-      acc_h = (acc >> 32) & 0xffffffff;
-
-      /* Apply shift for lower part of acc and upper part of acc */
-      out = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-      out = __SSAT(out, 16);
-
-      /* Store the output in the destination buffer. */
-
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-      *__SIMD32(pOut)++ = __PKHBT(state_out, out, 16);
-
-#else
-
-      *__SIMD32(pOut)++ = __PKHBT(out, state_out >> 16, 16);
-
-#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:  */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc   */
-      /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */
-      /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-      state_in = __PKHBT(in >> 16, state_in, 16);
-      state_out = __PKHBT(out, state_out, 16);
-
-#else
-
-      state_in = __PKHBT(state_in >> 16, in, 16);
-      state_out = __PKHBT(state_out >> 16, out, 16);
-
-#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-
-      /* Decrement the loop counter */
-      sample--;
-
-    }
-
-    /* If the blockSize is not a multiple of 2, compute any remaining output samples here.    
-     ** No loop unrolling is used. */
-
-    if((blockSize & 0x1u) != 0u)
-    {
-      /* Read the input */
-      in = *pIn++;
-
-      /* out =  b0 * x[n] + 0 * 0 */
-
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-      out = __SMUAD(b0, in);
-
-#else
-
-      out = __SMUADX(b0, in);
-
-#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-      /* acc =  b1 * x[n-1] + b2 * x[n-2] + out */
-      acc = __SMLALD(b1, state_in, out);
-      /* acc +=  a1 * y[n-1] + a2 * y[n-2] */
-      acc = __SMLALD(a1, state_out, acc);
-
-      /* The result is converted from 3.29 to 1.31 if postShift = 1, and then saturation is applied */
-      /* Calc lower part of acc */
-      acc_l = acc & 0xffffffff;
-
-      /* Calc upper part of acc */
-      acc_h = (acc >> 32) & 0xffffffff;
-
-      /* Apply shift for lower part of acc and upper part of acc */
-      out = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-      out = __SSAT(out, 16);
-
-      /* Store the output in the destination buffer. */
-      *pOut++ = (q15_t) out;
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:  */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc   */
-      /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */
-      /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */
-
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-      state_in = __PKHBT(in, state_in, 16);
-      state_out = __PKHBT(out, state_out, 16);
-
-#else
-
-      state_in = __PKHBT(state_in >> 16, in, 16);
-      state_out = __PKHBT(state_out >> 16, out, 16);
-
-#endif /*   #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-    }
-
-    /*  The first stage goes from the input wire to the output wire.  */
-    /*  Subsequent numStages occur in-place in the output wire  */
-    pIn = pDst;
-
-    /* Reset the output pointer */
-    pOut = pDst;
-
-    /*  Store the updated state variables back into the state array */
-    *__SIMD32(pState)++ = state_in;
-    *__SIMD32(pState)++ = state_out;
-
-
-    /* Decrement the loop counter */
-    stage--;
-
-  } while(stage > 0u);
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  q15_t *pIn = pSrc;                             /*  Source pointer                               */
-  q15_t *pOut = pDst;                            /*  Destination pointer                          */
-  q15_t b0, b1, b2, a1, a2;                      /*  Filter coefficients           */
-  q15_t Xn1, Xn2, Yn1, Yn2;                      /*  Filter state variables        */
-  q15_t Xn;                                      /*  temporary input               */
-  q63_t acc;                                     /*  Accumulator                                  */
-  int32_t shift = (15 - (int32_t) S->postShift); /*  Post shift                                   */
-  q15_t *pState = S->pState;                     /*  State pointer                                */
-  q15_t *pCoeffs = S->pCoeffs;                   /*  Coefficient pointer                          */
-  uint32_t sample, stage = (uint32_t) S->numStages;     /*  Stage loop counter                           */
-
-  do
-  {
-    /* Reading the coefficients */
-    b0 = *pCoeffs++;
-    b1 = *pCoeffs++;
-    b2 = *pCoeffs++;
-    a1 = *pCoeffs++;
-    a2 = *pCoeffs++;
-
-    /* Reading the state values */
-    Xn1 = pState[0];
-    Xn2 = pState[1];
-    Yn1 = pState[2];
-    Yn2 = pState[3];
-
-    /*      The variables acc holds the output value that is computed:         
-     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]         
-     */
-
-    sample = blockSize;
-
-    while(sample > 0u)
-    {
-      /* Read the input */
-      Xn = *pIn++;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-      /* acc =  b0 * x[n] */
-      acc = (q31_t) b0 *Xn;
-
-      /* acc +=  b1 * x[n-1] */
-      acc += (q31_t) b1 *Xn1;
-      /* acc +=  b[2] * x[n-2] */
-      acc += (q31_t) b2 *Xn2;
-      /* acc +=  a1 * y[n-1] */
-      acc += (q31_t) a1 *Yn1;
-      /* acc +=  a2 * y[n-2] */
-      acc += (q31_t) a2 *Yn2;
-
-      /* The result is converted to 1.31  */
-      acc = __SSAT((acc >> shift), 16);
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:  */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc    */
-      Xn2 = Xn1;
-      Xn1 = Xn;
-      Yn2 = Yn1;
-      Yn1 = (q15_t) acc;
-
-      /* Store the output in the destination buffer. */
-      *pOut++ = (q15_t) acc;
-
-      /* decrement the loop counter */
-      sample--;
-    }
-
-    /*  The first stage goes from the input buffer to the output buffer. */
-    /*  Subsequent stages occur in-place in the output buffer */
-    pIn = pDst;
-
-    /* Reset to destination pointer */
-    pOut = pDst;
-
-    /*  Store the updated state variables back into the pState array */
-    *pState++ = Xn1;
-    *pState++ = Xn2;
-    *pState++ = Yn1;
-    *pState++ = Yn2;
-
-  } while(--stage);
-
-#endif /*     #ifndef ARM_MATH_CM0 */
-
-}
-
-
-/**    
- * @} end of BiquadCascadeDF1 group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_q31.c
deleted file mode 100644
index 5626bdd1c..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_q31.c
+++ /dev/null
@@ -1,400 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_biquad_cascade_df1_q31.c    
-*    
-* Description:	Processing function for the    
-*				Q31 Biquad cascade filter    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.5  2010/04/26     
-* 	 incorporated review comments and updated with latest CMSIS layer    
-*    
-* Version 0.0.3  2010/03/10     
-*    Initial version    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup BiquadCascadeDF1    
- * @{    
- */
-
-/**    
- * @brief Processing function for the Q31 Biquad cascade filter.    
- * @param[in]  *S         points to an instance of the Q31 Biquad cascade structure.    
- * @param[in]  *pSrc      points to the block of input data.    
- * @param[out] *pDst      points to the block of output data.    
- * @param[in]  blockSize  number of samples to process per call.    
- * @return none.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function is implemented using an internal 64-bit accumulator.    
- * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.    
- * Thus, if the accumulator result overflows it wraps around rather than clip.    
- * In order to avoid overflows completely the input signal must be scaled down by 2 bits and lie in the range [-0.25 +0.25).    
- * After all 5 multiply-accumulates are performed, the 2.62 accumulator is shifted by postShift bits and the result truncated to    
- * 1.31 format by discarding the low 32 bits.    
- *    
- * \par    
- * Refer to the function arm_biquad_cascade_df1_fast_q31() for a faster but less precise implementation of this filter for Cortex-M3 and Cortex-M4.    
- */
-
-void arm_biquad_cascade_df1_q31(
-  const arm_biquad_casd_df1_inst_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize)
-{
-  q63_t acc;                                     /*  accumulator                   */
-  uint32_t uShift = ((uint32_t) S->postShift + 1u);
-  uint32_t lShift = 32u - uShift;                /*  Shift to be applied to the output */
-  q31_t *pIn = pSrc;                             /*  input pointer initialization  */
-  q31_t *pOut = pDst;                            /*  output pointer initialization */
-  q31_t *pState = S->pState;                     /*  pState pointer initialization */
-  q31_t *pCoeffs = S->pCoeffs;                   /*  coeff pointer initialization  */
-  q31_t Xn1, Xn2, Yn1, Yn2;                      /*  Filter state variables        */
-  q31_t b0, b1, b2, a1, a2;                      /*  Filter coefficients           */
-  q31_t Xn;                                      /*  temporary input               */
-  uint32_t sample, stage = S->numStages;         /*  loop counters                     */
-
-
-#ifndef ARM_MATH_CM0
-
-  q31_t acc_l, acc_h;                            /*  temporary output variables    */
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  do
-  {
-    /* Reading the coefficients */
-    b0 = *pCoeffs++;
-    b1 = *pCoeffs++;
-    b2 = *pCoeffs++;
-    a1 = *pCoeffs++;
-    a2 = *pCoeffs++;
-
-    /* Reading the state values */
-    Xn1 = pState[0];
-    Xn2 = pState[1];
-    Yn1 = pState[2];
-    Yn2 = pState[3];
-
-    /* Apply loop unrolling and compute 4 output values simultaneously. */
-    /*      The variable acc hold output values that are being computed:    
-     *    
-     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]    
-     */
-
-    sample = blockSize >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-     ** a second loop below computes the remaining 1 to 3 samples. */
-    while(sample > 0u)
-    {
-      /* Read the input */
-      Xn = *pIn++;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-
-      /* acc =  b0 * x[n] */
-      acc = (q63_t) b0 *Xn;
-      /* acc +=  b1 * x[n-1] */
-      acc += (q63_t) b1 *Xn1;
-      /* acc +=  b[2] * x[n-2] */
-      acc += (q63_t) b2 *Xn2;
-      /* acc +=  a1 * y[n-1] */
-      acc += (q63_t) a1 *Yn1;
-      /* acc +=  a2 * y[n-2] */
-      acc += (q63_t) a2 *Yn2;
-
-      /* The result is converted to 1.31 , Yn2 variable is reused */
-
-      /* Calc lower part of acc */
-      acc_l = acc & 0xffffffff;
-
-      /* Calc upper part of acc */
-      acc_h = (acc >> 32) & 0xffffffff;
-
-      /* Apply shift for lower part of acc and upper part of acc */
-      Yn2 = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-      /* Store the output in the destination buffer. */
-      *pOut++ = Yn2;
-
-      /* Read the second input */
-      Xn2 = *pIn++;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-
-      /* acc =  b0 * x[n] */
-      acc = (q63_t) b0 *Xn2;
-      /* acc +=  b1 * x[n-1] */
-      acc += (q63_t) b1 *Xn;
-      /* acc +=  b[2] * x[n-2] */
-      acc += (q63_t) b2 *Xn1;
-      /* acc +=  a1 * y[n-1] */
-      acc += (q63_t) a1 *Yn2;
-      /* acc +=  a2 * y[n-2] */
-      acc += (q63_t) a2 *Yn1;
-
-
-      /* The result is converted to 1.31, Yn1 variable is reused  */
-
-      /* Calc lower part of acc */
-      acc_l = acc & 0xffffffff;
-
-      /* Calc upper part of acc */
-      acc_h = (acc >> 32) & 0xffffffff;
-
-
-      /* Apply shift for lower part of acc and upper part of acc */
-      Yn1 = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-      /* Store the output in the destination buffer. */
-      *pOut++ = Yn1;
-
-      /* Read the third input  */
-      Xn1 = *pIn++;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-
-      /* acc =  b0 * x[n] */
-      acc = (q63_t) b0 *Xn1;
-      /* acc +=  b1 * x[n-1] */
-      acc += (q63_t) b1 *Xn2;
-      /* acc +=  b[2] * x[n-2] */
-      acc += (q63_t) b2 *Xn;
-      /* acc +=  a1 * y[n-1] */
-      acc += (q63_t) a1 *Yn1;
-      /* acc +=  a2 * y[n-2] */
-      acc += (q63_t) a2 *Yn2;
-
-      /* The result is converted to 1.31, Yn2 variable is reused  */
-      /* Calc lower part of acc */
-      acc_l = acc & 0xffffffff;
-
-      /* Calc upper part of acc */
-      acc_h = (acc >> 32) & 0xffffffff;
-
-
-      /* Apply shift for lower part of acc and upper part of acc */
-      Yn2 = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-      /* Store the output in the destination buffer. */
-      *pOut++ = Yn2;
-
-      /* Read the forth input */
-      Xn = *pIn++;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-
-      /* acc =  b0 * x[n] */
-      acc = (q63_t) b0 *Xn;
-      /* acc +=  b1 * x[n-1] */
-      acc += (q63_t) b1 *Xn1;
-      /* acc +=  b[2] * x[n-2] */
-      acc += (q63_t) b2 *Xn2;
-      /* acc +=  a1 * y[n-1] */
-      acc += (q63_t) a1 *Yn2;
-      /* acc +=  a2 * y[n-2] */
-      acc += (q63_t) a2 *Yn1;
-
-      /* The result is converted to 1.31, Yn1 variable is reused  */
-      /* Calc lower part of acc */
-      acc_l = acc & 0xffffffff;
-
-      /* Calc upper part of acc */
-      acc_h = (acc >> 32) & 0xffffffff;
-
-      /* Apply shift for lower part of acc and upper part of acc */
-      Yn1 = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:  */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc    */
-      Xn2 = Xn1;
-      Xn1 = Xn;
-
-      /* Store the output in the destination buffer. */
-      *pOut++ = Yn1;
-
-      /* decrement the loop counter */
-      sample--;
-    }
-
-    /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-     ** No loop unrolling is used. */
-    sample = (blockSize & 0x3u);
-
-    while(sample > 0u)
-    {
-      /* Read the input */
-      Xn = *pIn++;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-
-      /* acc =  b0 * x[n] */
-      acc = (q63_t) b0 *Xn;
-      /* acc +=  b1 * x[n-1] */
-      acc += (q63_t) b1 *Xn1;
-      /* acc +=  b[2] * x[n-2] */
-      acc += (q63_t) b2 *Xn2;
-      /* acc +=  a1 * y[n-1] */
-      acc += (q63_t) a1 *Yn1;
-      /* acc +=  a2 * y[n-2] */
-      acc += (q63_t) a2 *Yn2;
-
-      /* The result is converted to 1.31  */
-      acc = acc >> lShift;
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:  */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc    */
-      Xn2 = Xn1;
-      Xn1 = Xn;
-      Yn2 = Yn1;
-      Yn1 = (q31_t) acc;
-
-      /* Store the output in the destination buffer. */
-      *pOut++ = (q31_t) acc;
-
-      /* decrement the loop counter */
-      sample--;
-    }
-
-    /*  The first stage goes from the input buffer to the output buffer. */
-    /*  Subsequent stages occur in-place in the output buffer */
-    pIn = pDst;
-
-    /* Reset to destination pointer */
-    pOut = pDst;
-
-    /*  Store the updated state variables back into the pState array */
-    *pState++ = Xn1;
-    *pState++ = Xn2;
-    *pState++ = Yn1;
-    *pState++ = Yn2;
-
-  } while(--stage);
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  do
-  {
-    /* Reading the coefficients */
-    b0 = *pCoeffs++;
-    b1 = *pCoeffs++;
-    b2 = *pCoeffs++;
-    a1 = *pCoeffs++;
-    a2 = *pCoeffs++;
-
-    /* Reading the state values */
-    Xn1 = pState[0];
-    Xn2 = pState[1];
-    Yn1 = pState[2];
-    Yn2 = pState[3];
-
-    /*      The variables acc holds the output value that is computed:         
-     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]         
-     */
-
-    sample = blockSize;
-
-    while(sample > 0u)
-    {
-      /* Read the input */
-      Xn = *pIn++;
-
-      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
-      /* acc =  b0 * x[n] */
-      acc = (q63_t) b0 *Xn;
-
-      /* acc +=  b1 * x[n-1] */
-      acc += (q63_t) b1 *Xn1;
-      /* acc +=  b[2] * x[n-2] */
-      acc += (q63_t) b2 *Xn2;
-      /* acc +=  a1 * y[n-1] */
-      acc += (q63_t) a1 *Yn1;
-      /* acc +=  a2 * y[n-2] */
-      acc += (q63_t) a2 *Yn2;
-
-      /* The result is converted to 1.31  */
-      acc = acc >> lShift;
-
-      /* Every time after the output is computed state should be updated. */
-      /* The states should be updated as:  */
-      /* Xn2 = Xn1    */
-      /* Xn1 = Xn     */
-      /* Yn2 = Yn1    */
-      /* Yn1 = acc    */
-      Xn2 = Xn1;
-      Xn1 = Xn;
-      Yn2 = Yn1;
-      Yn1 = (q31_t) acc;
-
-      /* Store the output in the destination buffer. */
-      *pOut++ = (q31_t) acc;
-
-      /* decrement the loop counter */
-      sample--;
-    }
-
-    /*  The first stage goes from the input buffer to the output buffer. */
-    /*  Subsequent stages occur in-place in the output buffer */
-    pIn = pDst;
-
-    /* Reset to destination pointer */
-    pOut = pDst;
-
-    /*  Store the updated state variables back into the pState array */
-    *pState++ = Xn1;
-    *pState++ = Xn2;
-    *pState++ = Yn1;
-    *pState++ = Yn2;
-
-  } while(--stage);
-
-#endif /*  #ifndef ARM_MATH_CM0 */
-}
-
-/**    
-  * @} end of BiquadCascadeDF1 group    
-  */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df2T_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df2T_f32.c
deleted file mode 100644
index a8cb0c98c..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df2T_f32.c
+++ /dev/null
@@ -1,377 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_biquad_cascade_df2T_f32.c    
-*    
-* Description:  Processing function for the floating-point transposed    
-*               direct form II Biquad cascade filter.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**       
- * @ingroup groupFilters       
- */
-
-/**       
- * @defgroup BiquadCascadeDF2T Biquad Cascade IIR Filters Using a Direct Form II Transposed Structure       
- *       
- * This set of functions implements arbitrary order recursive (IIR) filters using a transposed direct form II structure.       
- * The filters are implemented as a cascade of second order Biquad sections.       
- * These functions provide a slight memory savings as compared to the direct form I Biquad filter functions.      
- * Only floating-point data is supported.       
- *       
- * This function operate on blocks of input and output data and each call to the function       
- * processes blockSize samples through the filter.       
- * pSrc points to the array of input data and       
- * pDst points to the array of output data.       
- * Both arrays contain blockSize values.       
- *       
- * \par Algorithm       
- * Each Biquad stage implements a second order filter using the difference equation:       
- * 
       
- *    y[n] = b0 * x[n] + d1       
- *    d1 = b1 * x[n] + a1 * y[n] + d2       
- *    d2 = b2 * x[n] + a2 * y[n]       
- * 
       
- * where d1 and d2 represent the two state values.       
- *       
- * \par       
- * A Biquad filter using a transposed Direct Form II structure is shown below.       
- * \image html BiquadDF2Transposed.gif "Single transposed Direct Form II Biquad"       
- * Coefficients b0, b1, and b2  multiply the input signal x[n] and are referred to as the feedforward coefficients.       
- * Coefficients a1 and a2 multiply the output signal y[n] and are referred to as the feedback coefficients.       
- * Pay careful attention to the sign of the feedback coefficients.       
- * Some design tools flip the sign of the feedback coefficients:       
- * 
       
- *    y[n] = b0 * x[n] + d1;       
- *    d1 = b1 * x[n] - a1 * y[n] + d2;       
- *    d2 = b2 * x[n] - a2 * y[n];       
- * 
       
- * In this case the feedback coefficients a1 and a2 must be negated when used with the CMSIS DSP Library.       
- *       
- * \par       
- * Higher order filters are realized as a cascade of second order sections.       
- * numStages refers to the number of second order stages used.       
- * For example, an 8th order filter would be realized with numStages=4 second order stages.       
- * A 9th order filter would be realized with numStages=5 second order stages with the       
- * coefficients for one of the stages configured as a first order filter (b2=0 and a2=0).       
- *       
- * \par       
- * pState points to the state variable array.       
- * Each Biquad stage has 2 state variables d1 and d2.       
- * The state variables are arranged in the pState array as:       
- * 
       
- *     {d11, d12, d21, d22, ...}       
- * 
       
- * where d1x refers to the state variables for the first Biquad and       
- * d2x refers to the state variables for the second Biquad.       
- * The state array has a total length of 2*numStages values.       
- * The state variables are updated after each block of data is processed; the coefficients are untouched.       
- *       
- * \par       
- * The CMSIS library contains Biquad filters in both Direct Form I and transposed Direct Form II.    
- * The advantage of the Direct Form I structure is that it is numerically more robust for fixed-point data types.    
- * That is why the Direct Form I structure supports Q15 and Q31 data types.    
- * The transposed Direct Form II structure, on the other hand, requires a wide dynamic range for the state variables d1 and d2.    
- * Because of this, the CMSIS library only has a floating-point version of the Direct Form II Biquad.    
- * The advantage of the Direct Form II Biquad is that it requires half the number of state variables, 2 rather than 4, per Biquad stage.    
- *       
- * \par Instance Structure       
- * The coefficients and state variables for a filter are stored together in an instance data structure.       
- * A separate instance structure must be defined for each filter.       
- * Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.       
- *       
- * \par Init Functions       
- * There is also an associated initialization function.      
- * The initialization function performs following operations:       
- * - Sets the values of the internal structure fields.       
- * - Zeros out the values in the state buffer.       
- *       
- * \par       
- * Use of the initialization function is optional.       
- * However, if the initialization function is used, then the instance structure cannot be placed into a const data section.       
- * To place an instance structure into a const data section, the instance structure must be manually initialized.       
- * Set the values in the state buffer to zeros before static initialization.       
- * For example, to statically initialize the instance structure use       
- * 
       
- *     arm_biquad_cascade_df2T_instance_f32 S1 = {numStages, pState, pCoeffs};       
- * 
       
- * where numStages is the number of Biquad stages in the filter; pState is the address of the state buffer.       
- * pCoeffs is the address of the coefficient buffer;        
- *       
- */
-
-/**       
- * @addtogroup BiquadCascadeDF2T       
- * @{       
- */
-
-/**      
- * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter.      
- * @param[in]  *S        points to an instance of the filter data structure.      
- * @param[in]  *pSrc     points to the block of input data.      
- * @param[out] *pDst     points to the block of output data      
- * @param[in]  blockSize number of samples to process.      
- * @return none.      
- */
-
-void arm_biquad_cascade_df2T_f32(
-  const arm_biquad_cascade_df2T_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize)
-{
-
-  float32_t *pIn = pSrc;                         /*  source pointer            */
-  float32_t *pOut = pDst;                        /*  destination pointer       */
-  float32_t *pState = S->pState;                 /*  State pointer             */
-  float32_t *pCoeffs = S->pCoeffs;               /*  coefficient pointer       */
-  float32_t acc0;                                /*  accumulator               */
-  float32_t b0, b1, b2, a1, a2;                  /*  Filter coefficients       */
-  float32_t Xn;                                  /*  temporary input           */
-  float32_t d1, d2;                              /*  state variables           */
-  uint32_t sample, stage = S->numStages;         /*  loop counters             */
-
-#ifndef ARM_MATH_CM0
-
-  float32_t Xn1, Xn2;                            /*  Input State variables     */
-  float32_t acc1;                                /*  accumulator               */
-
-
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  do
-  {
-    /* Reading the coefficients */
-    b0 = *pCoeffs++;
-    b1 = *pCoeffs++;
-    b2 = *pCoeffs++;
-    a1 = *pCoeffs++;
-    a2 = *pCoeffs++;
-
-    /*Reading the state values */
-    d1 = pState[0];
-    d2 = pState[1];
-
-    /* Apply loop unrolling and compute 4 output values simultaneously. */
-    sample = blockSize >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.       
-     ** a second loop below computes the remaining 1 to 3 samples. */
-    while(sample > 0u)
-    {
-
-      /* y[n] = b0 * x[n] + d1 */
-      /* d1 = b1 * x[n] + a1 * y[n] + d2 */
-      /* d2 = b2 * x[n] + a2 * y[n] */
-
-      /* Read the first input */
-      Xn1 = *pIn++;
-
-      /* y[n] = b0 * x[n] + d1 */
-      acc0 = (b0 * Xn1) + d1;
-
-      /* d1 = b1 * x[n] + d2 */
-      d1 = (b1 * Xn1) + d2;
-
-      /* d2 = b2 * x[n] */
-      d2 = (b2 * Xn1);
-
-      /* Read the second input */
-      Xn2 = *pIn++;
-
-      /* d1 = b1 * x[n] + a1 * y[n] */
-      d1 = (a1 * acc0) + d1;
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = acc0;
-
-      d2 = (a2 * acc0) + d2;
-
-      /* y[n] = b0 * x[n] + d1 */
-      acc1 = (b0 * Xn2) + d1;
-
-      /* Read the third input */
-      Xn1 = *pIn++;
-
-      d1 = (b1 * Xn2) + d2;
-
-      d2 = (b2 * Xn2);
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = acc1;
-
-      d1 = (a1 * acc1) + d1;
-
-      d2 = (a2 * acc1) + d2;
-
-      /* y[n] = b0 * x[n] + d1 */
-      acc0 = (b0 * Xn1) + d1;
-
-      d1 = (b1 * Xn1) + d2;
-
-      d2 = (b2 * Xn1);
-
-      /* Read the fourth input */
-      Xn2 = *pIn++;
-
-      d1 = (a1 * acc0) + d1;
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = acc0;
-
-      d2 = (a2 * acc0) + d2;
-
-      /* y[n] = b0 * x[n] + d1 */
-      acc1 = (b0 * Xn2) + d1;
-
-      d1 = (b1 * Xn2) + d2;
-
-      d2 = (b2 * Xn2);
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = acc1;
-
-      d1 = (a1 * acc1) + d1;
-
-      d2 = (a2 * acc1) + d2;
-
-      /* decrement the loop counter */
-      sample--;
-
-    }
-
-    /* If the blockSize is not a multiple of 4, compute any remaining output samples here.       
-     ** No loop unrolling is used. */
-    sample = blockSize & 0x3u;
-
-    while(sample > 0u)
-    {
-      /* Read the input */
-      Xn = *pIn++;
-
-      /* y[n] = b0 * x[n] + d1 */
-      acc0 = (b0 * Xn) + d1;
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = acc0;
-
-      /* Every time after the output is computed state should be updated. */
-      /* d1 = b1 * x[n] + a1 * y[n] + d2 */
-      d1 = ((b1 * Xn) + (a1 * acc0)) + d2;
-
-      /* d2 = b2 * x[n] + a2 * y[n] */
-      d2 = (b2 * Xn) + (a2 * acc0);
-
-      /* decrement the loop counter */
-      sample--;
-    }
-
-    /* Store the updated state variables back into the state array */
-    *pState++ = d1;
-    *pState++ = d2;
-
-    /* The current stage input is given as the output to the next stage */
-    pIn = pDst;
-
-    /*Reset the output working pointer */
-    pOut = pDst;
-
-    /* decrement the loop counter */
-    stage--;
-
-  } while(stage > 0u);
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  do
-  {
-    /* Reading the coefficients */
-    b0 = *pCoeffs++;
-    b1 = *pCoeffs++;
-    b2 = *pCoeffs++;
-    a1 = *pCoeffs++;
-    a2 = *pCoeffs++;
-
-    /*Reading the state values */
-    d1 = pState[0];
-    d2 = pState[1];
-
-
-    sample = blockSize;
-
-    while(sample > 0u)
-    {
-      /* Read the input */
-      Xn = *pIn++;
-
-      /* y[n] = b0 * x[n] + d1 */
-      acc0 = (b0 * Xn) + d1;
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = acc0;
-
-      /* Every time after the output is computed state should be updated. */
-      /* d1 = b1 * x[n] + a1 * y[n] + d2 */
-      d1 = ((b1 * Xn) + (a1 * acc0)) + d2;
-
-      /* d2 = b2 * x[n] + a2 * y[n] */
-      d2 = (b2 * Xn) + (a2 * acc0);
-
-      /* decrement the loop counter */
-      sample--;
-    }
-
-    /* Store the updated state variables back into the state array */
-    *pState++ = d1;
-    *pState++ = d2;
-
-    /* The current stage input is given as the output to the next stage */
-    pIn = pDst;
-
-    /*Reset the output working pointer */
-    pOut = pDst;
-
-    /* decrement the loop counter */
-    stage--;
-
-  } while(stage > 0u);
-
-#endif /*  #ifndef ARM_MATH_CM0         */
-
-}
-
-
-  /**       
-   * @} end of BiquadCascadeDF2T group       
-   */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f32.c
deleted file mode 100644
index e4225d008..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f32.c
+++ /dev/null
@@ -1,97 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_biquad_cascade_df2T_init_f32.c    
-*    
-* Description:  Initialization function for the floating-point transposed   
-*               direct form II Biquad cascade filter.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup BiquadCascadeDF2T    
- * @{    
- */
-
-/**   
- * @brief  Initialization function for the floating-point transposed direct form II Biquad cascade filter.   
- * @param[in,out] *S           points to an instance of the filter data structure.   
- * @param[in]     numStages    number of 2nd order stages in the filter.   
- * @param[in]     *pCoeffs     points to the filter coefficients.   
- * @param[in]     *pState      points to the state buffer.   
- * @return        none   
- *    
- * Coefficient and State Ordering:    
- * \par    
- * The coefficients are stored in the array pCoeffs in the following order:    
- * 
    
- *     {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}    
- * 
    
- *    
- * \par    
- * where b1x and a1x are the coefficients for the first stage,    
- * b2x and a2x are the coefficients for the second stage,    
- * and so on.  The pCoeffs array contains a total of 5*numStages values.    
- *    
- * \par    
- * The pState is a pointer to state array.    
- * Each Biquad stage has 2 state variables d1, and d2.    
- * The 2 state variables for stage 1 are first, then the 2 state variables for stage 2, and so on.    
- * The state array has a total length of 2*numStages values.    
- * The state variables are updated after each block of data is processed; the coefficients are untouched.    
- */
-
-void arm_biquad_cascade_df2T_init_f32(
-  arm_biquad_cascade_df2T_instance_f32 * S,
-  uint8_t numStages,
-  float32_t * pCoeffs,
-  float32_t * pState)
-{
-  /* Assign filter stages */
-  S->numStages = numStages;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Clear state buffer and size is always 2 * numStages */
-  memset(pState, 0, (2u * (uint32_t) numStages) * sizeof(float32_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-}
-
-/**    
- * @} end of BiquadCascadeDF2T group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_f32.c
deleted file mode 100644
index 48dd45f2b..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_f32.c
+++ /dev/null
@@ -1,646 +0,0 @@
-/* ----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_conv_f32.c    
-*    
-* Description:	Convolution of floating-point sequences.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*  
-* Version 1.0.11 2011/10/18  
-*    Bug Fix in conv, correlation, partial convolution.  
-* 
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-*    
-* -------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @defgroup Conv Convolution    
- *    
- * Convolution is a mathematical operation that operates on two finite length vectors to generate a finite length output vector.    
- * Convolution is similar to correlation and is frequently used in filtering and data analysis.    
- * The CMSIS DSP library contains functions for convolving Q7, Q15, Q31, and floating-point data types.    
- * The library also provides fast versions of the Q15 and Q31 functions on Cortex-M4 and Cortex-M3.    
- *    
- * \par Algorithm    
- * Let a[n] and b[n] be sequences of length srcALen and srcBLen samples respectively.    
- * Then the convolution    
- *    
- * 
    
- *                   c[n] = a[n] * b[n]    
- * 
    
- *    
- * \par    
- * is defined as    
- * \image html ConvolutionEquation.gif    
- * \par    
- * Note that c[n] is of length srcALen + srcBLen - 1 and is defined over the interval n=0, 1, 2, ..., srcALen + srcBLen - 2.    
- * pSrcA points to the first input vector of length srcALen and    
- * pSrcB points to the second input vector of length srcBLen.    
- * The output result is written to pDst and the calling function must allocate srcALen+srcBLen-1 words for the result.    
- *    
- * \par    
- * Conceptually, when two signals a[n] and b[n] are convolved,    
- * the signal b[n] slides over a[n].    
- * For each offset \c n, the overlapping portions of a[n] and b[n] are multiplied and summed together.    
- *    
- * \par    
- * Note that convolution is a commutative operation:    
- *    
- * 
    
- *                   a[n] * b[n] = b[n] * a[n].    
- * 
    
- *    
- * \par    
- * This means that switching the A and B arguments to the convolution functions has no effect.    
- *    
- * Fixed-Point Behavior    
- *    
- * \par    
- * Convolution requires summing up a large number of intermediate products.    
- * As such, the Q7, Q15, and Q31 functions run a risk of overflow and saturation.    
- * Refer to the function specific documentation below for further details of the particular algorithm used.    
- *
- *
- * Fast Versions
- *
- * \par 
- * Fast versions are supported for Q31 and Q15.  Cycles for Fast versions are less compared to Q31 and Q15 of conv and the design requires
- * the input signals should be scaled down to avoid intermediate overflows.   
- *
- *
- * Opt Versions
- *
- * \par 
- * Opt versions are supported for Q15 and Q7.  Design uses internal scratch buffer for getting good optimisation.
- * These versions are optimised in cycles and consumes more memory(Scratch memory) compared to Q15 and Q7 versions 
- */
-
-/**    
- * @addtogroup Conv    
- * @{    
- */
-
-/**    
- * @brief Convolution of floating-point sequences.    
- * @param[in] *pSrcA points to the first input sequence.    
- * @param[in] srcALen length of the first input sequence.    
- * @param[in] *pSrcB points to the second input sequence.    
- * @param[in] srcBLen length of the second input sequence.    
- * @param[out] *pDst points to the location where the output result is written.  Length srcALen+srcBLen-1.    
- * @return none.    
- */
-
-void arm_conv_f32(
-  float32_t * pSrcA,
-  uint32_t srcALen,
-  float32_t * pSrcB,
-  uint32_t srcBLen,
-  float32_t * pDst)
-{
-
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  float32_t *pIn1;                               /* inputA pointer */
-  float32_t *pIn2;                               /* inputB pointer */
-  float32_t *pOut = pDst;                        /* output pointer */
-  float32_t *px;                                 /* Intermediate inputA pointer */
-  float32_t *py;                                 /* Intermediate inputB pointer */
-  float32_t *pSrc1, *pSrc2;                      /* Intermediate pointers */
-  float32_t sum, acc0, acc1, acc2, acc3;         /* Accumulator */
-  float32_t x0, x1, x2, x3, c0;                  /* Temporary variables to hold state and coefficient values */
-  uint32_t j, k, count, blkCnt, blockSize1, blockSize2, blockSize3;     /* loop counters */
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcA;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcB;
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcB;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcA;
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-  }
-
-  /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
-  /* The function is internally    
-   * divided into three stages according to the number of multiplications that has to be    
-   * taken place between inputA samples and inputB samples. In the first stage of the    
-   * algorithm, the multiplications increase by one for every iteration.    
-   * In the second stage of the algorithm, srcBLen number of multiplications are done.    
-   * In the third stage of the algorithm, the multiplications decrease by one    
-   * for every iteration. */
-
-  /* The algorithm is implemented in three stages.    
-     The loop counters of each stage is initiated here. */
-  blockSize1 = srcBLen - 1u;
-  blockSize2 = srcALen - (srcBLen - 1u);
-  blockSize3 = blockSize1;
-
-  /* --------------------------    
-   * initializations of stage1    
-   * -------------------------*/
-
-  /* sum = x[0] * y[0]    
-   * sum = x[0] * y[1] + x[1] * y[0]    
-   * ....    
-   * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]    
-   */
-
-  /* In this stage the MAC operations are increased by 1 for every iteration.    
-     The count variable holds the number of MAC operations performed */
-  count = 1u;
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-
-  /* ------------------------    
-   * Stage1 process    
-   * ----------------------*/
-
-  /* The first stage starts here */
-  while(blockSize1 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0.0f;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* x[0] * y[srcBLen - 1] */
-      sum += *px++ * *py--;
-
-      /* x[1] * y[srcBLen - 2] */
-      sum += *px++ * *py--;
-
-      /* x[2] * y[srcBLen - 3] */
-      sum += *px++ * *py--;
-
-      /* x[3] * y[srcBLen - 4] */
-      sum += *px++ * *py--;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.    
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      sum += *px++ * *py--;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = sum;
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    py = pIn2 + count;
-    px = pIn1;
-
-    /* Increment the MAC count */
-    count++;
-
-    /* Decrement the loop counter */
-    blockSize1--;
-  }
-
-  /* --------------------------    
-   * Initializations of stage2    
-   * ------------------------*/
-
-  /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]    
-   * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]    
-   * ....    
-   * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]    
-   */
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  pSrc2 = pIn2 + (srcBLen - 1u);
-  py = pSrc2;
-
-  /* count is index by which the pointer pIn1 to be incremented */
-  count = 0u;
-
-  /* -------------------    
-   * Stage2 process    
-   * ------------------*/
-
-  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.    
-   * So, to loop unroll over blockSize2,    
-   * srcBLen should be greater than or equal to 4 */
-  if(srcBLen >= 4u)
-  {
-    /* Loop unroll over blockSize2, by 4 */
-    blkCnt = blockSize2 >> 2u;
-
-    while(blkCnt > 0u)
-    {
-      /* Set all accumulators to zero */
-      acc0 = 0.0f;
-      acc1 = 0.0f;
-      acc2 = 0.0f;
-      acc3 = 0.0f;
-
-      /* read x[0], x[1], x[2] samples */
-      x0 = *(px++);
-      x1 = *(px++);
-      x2 = *(px++);
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      do
-      {
-        /* Read y[srcBLen - 1] sample */
-        c0 = *(py--);
-
-        /* Read x[3] sample */
-        x3 = *(px);
-
-        /* Perform the multiply-accumulate */
-        /* acc0 +=  x[0] * y[srcBLen - 1] */
-        acc0 += x0 * c0;
-
-        /* acc1 +=  x[1] * y[srcBLen - 1] */
-        acc1 += x1 * c0;
-
-        /* acc2 +=  x[2] * y[srcBLen - 1] */
-        acc2 += x2 * c0;
-
-        /* acc3 +=  x[3] * y[srcBLen - 1] */
-        acc3 += x3 * c0;
-
-        /* Read y[srcBLen - 2] sample */
-        c0 = *(py--);
-
-        /* Read x[4] sample */
-        x0 = *(px + 1u);
-
-        /* Perform the multiply-accumulate */
-        /* acc0 +=  x[1] * y[srcBLen - 2] */
-        acc0 += x1 * c0;
-        /* acc1 +=  x[2] * y[srcBLen - 2] */
-        acc1 += x2 * c0;
-        /* acc2 +=  x[3] * y[srcBLen - 2] */
-        acc2 += x3 * c0;
-        /* acc3 +=  x[4] * y[srcBLen - 2] */
-        acc3 += x0 * c0;
-
-        /* Read y[srcBLen - 3] sample */
-        c0 = *(py--);
-
-        /* Read x[5] sample */
-        x1 = *(px + 2u);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[2] * y[srcBLen - 3] */
-        acc0 += x2 * c0;
-        /* acc1 +=  x[3] * y[srcBLen - 2] */
-        acc1 += x3 * c0;
-        /* acc2 +=  x[4] * y[srcBLen - 2] */
-        acc2 += x0 * c0;
-        /* acc3 +=  x[5] * y[srcBLen - 2] */
-        acc3 += x1 * c0;
-
-        /* Read y[srcBLen - 4] sample */
-        c0 = *(py--);
-
-        /* Read x[6] sample */
-        x2 = *(px + 3u);
-        px += 4u;
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[3] * y[srcBLen - 4] */
-        acc0 += x3 * c0;
-        /* acc1 +=  x[4] * y[srcBLen - 4] */
-        acc1 += x0 * c0;
-        /* acc2 +=  x[5] * y[srcBLen - 4] */
-        acc2 += x1 * c0;
-        /* acc3 +=  x[6] * y[srcBLen - 4] */
-        acc3 += x2 * c0;
-
-
-      } while(--k);
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Read y[srcBLen - 5] sample */
-        c0 = *(py--);
-
-        /* Read x[7] sample */
-        x3 = *(px++);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[4] * y[srcBLen - 5] */
-        acc0 += x0 * c0;
-        /* acc1 +=  x[5] * y[srcBLen - 5] */
-        acc1 += x1 * c0;
-        /* acc2 +=  x[6] * y[srcBLen - 5] */
-        acc2 += x2 * c0;
-        /* acc3 +=  x[7] * y[srcBLen - 5] */
-        acc3 += x3 * c0;
-
-        /* Reuse the present samples for the next MAC */
-        x0 = x1;
-        x1 = x2;
-        x2 = x3;
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = acc0;
-      *pOut++ = acc1;
-      *pOut++ = acc2;
-      *pOut++ = acc3;
-
-      /* Increment the pointer pIn1 index, count by 4 */
-      count += 4u;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-
-    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.    
-     ** No loop unrolling is used. */
-    blkCnt = blockSize2 % 0x4u;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0.0f;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += *px++ * *py--;
-        sum += *px++ * *py--;
-        sum += *px++ * *py--;
-        sum += *px++ * *py--;
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum += *px++ * *py--;
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = sum;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-  else
-  {
-    /* If the srcBLen is not a multiple of 4,    
-     * the blockSize2 loop cannot be unrolled by 4 */
-    blkCnt = blockSize2;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0.0f;
-
-      /* srcBLen number of MACS should be performed */
-      k = srcBLen;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum += *px++ * *py--;
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = sum;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-
-
-  /* --------------------------    
-   * Initializations of stage3    
-   * -------------------------*/
-
-  /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]    
-   * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]    
-   * ....    
-   * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]    
-   * sum +=  x[srcALen-1] * y[srcBLen-1]    
-   */
-
-  /* In this stage the MAC operations are decreased by 1 for every iteration.    
-     The blockSize3 variable holds the number of MAC operations performed */
-
-  /* Working pointer of inputA */
-  pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
-  px = pSrc1;
-
-  /* Working pointer of inputB */
-  pSrc2 = pIn2 + (srcBLen - 1u);
-  py = pSrc2;
-
-  /* -------------------    
-   * Stage3 process    
-   * ------------------*/
-
-  while(blockSize3 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0.0f;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = blockSize3 >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
-      sum += *px++ * *py--;
-
-      /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
-      sum += *px++ * *py--;
-
-      /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
-      sum += *px++ * *py--;
-
-      /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
-      sum += *px++ * *py--;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here.    
-     ** No loop unrolling is used. */
-    k = blockSize3 % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      /* sum +=  x[srcALen-1] * y[srcBLen-1] */
-      sum += *px++ * *py--;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = sum;
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    px = ++pSrc1;
-    py = pSrc2;
-
-    /* Decrement the loop counter */
-    blockSize3--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  float32_t *pIn1 = pSrcA;                       /* inputA pointer */
-  float32_t *pIn2 = pSrcB;                       /* inputB pointer */
-  float32_t sum;                                 /* Accumulator */
-  uint32_t i, j;                                 /* loop counters */
-
-  /* Loop to calculate convolution for output length number of times */
-  for (i = 0u; i < ((srcALen + srcBLen) - 1u); i++)
-  {
-    /* Initialize sum with zero to carry out MAC operations */
-    sum = 0.0f;
-
-    /* Loop to perform MAC operations according to convolution equation */
-    for (j = 0u; j <= i; j++)
-    {
-      /* Check the array limitations */
-      if((((i - j) < srcBLen) && (j < srcALen)))
-      {
-        /* z[i] += x[i-j] * y[j] */
-        sum += pIn1[j] * pIn2[i - j];
-      }
-    }
-    /* Store the output in the destination buffer */
-    pDst[i] = sum;
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0        */
-
-}
-
-/**    
- * @} end of Conv group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_fast_opt_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_fast_opt_q15.c
deleted file mode 100644
index 3e85a25ba..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_fast_opt_q15.c
+++ /dev/null
@@ -1,538 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_conv_fast_opt_q15.c    
-*    
-* Description:	Fast Q15 Convolution.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*  
-* Version 1.0.11 2011/10/18  
-*    Bug Fix in conv, correlation, partial convolution.  
-* 
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup Conv    
- * @{    
- */
-
-/**    
- * @brief Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.    
- * @param[in] *pSrcA points to the first input sequence.    
- * @param[in] srcALen length of the first input sequence.    
- * @param[in] *pSrcB points to the second input sequence.    
- * @param[in] srcBLen length of the second input sequence.    
- * @param[out] *pDst points to the location where the output result is written.  Length srcALen+srcBLen-1.    
- * @param[in]  *pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.   
- * @param[in]  *pScratch2 points to scratch buffer of size min(srcALen, srcBLen).   
- * @return none.    
- *    
- * \par Restrictions    
- *  If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE    
- *	In this case input, output, scratch1 and scratch2 buffers should be aligned by 32-bit    
- *     
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * This fast version uses a 32-bit accumulator with 2.30 format.    
- * The accumulator maintains full precision of the intermediate multiplication results    
- * but provides only a single guard bit. There is no saturation on intermediate additions.    
- * Thus, if the accumulator overflows it wraps around and distorts the result.    
- * The input signals should be scaled down to avoid intermediate overflows.    
- * Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows,    
- * as maximum of min(srcALen, srcBLen) number of additions are carried internally.    
- * The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result.    
- *    
- * \par    
- * See arm_conv_q15() for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion.    
- */
-
-void arm_conv_fast_opt_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst,
-  q15_t * pScratch1,
-  q15_t * pScratch2)
-{
-  q31_t acc0, acc1, acc2, acc3;                  /* Accumulators */
-  q31_t x1, x2, x3;                              /* Temporary variables to hold state and coefficient values */
-  q31_t y1, y2;                                  /* State variables */
-  q15_t *pOut = pDst;                            /* output pointer */
-  q15_t *pScr1 = pScratch1;                      /* Temporary pointer for scratch1 */
-  q15_t *pScr2 = pScratch2;                      /* Temporary pointer for scratch1 */
-  q15_t *pIn1;                                   /* inputA pointer */
-  q15_t *pIn2;                                   /* inputB pointer */
-  q15_t *px;                                     /* Intermediate inputA pointer  */
-  q15_t *py;                                     /* Intermediate inputB pointer  */
-  uint32_t j, k, blkCnt;                         /* loop counter */
-  uint32_t tapCnt;                               /* loop count */
-#ifdef UNALIGNED_SUPPORT_DISABLE
-
-  q15_t a, b;
-
-#endif	/*	#ifdef UNALIGNED_SUPPORT_DISABLE	*/
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcA;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcB;
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcB;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcA;
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-  }
-
-  /* Pointer to take end of scratch2 buffer */
-  pScr2 = pScratch2 + srcBLen - 1;
-
-  /* points to smaller length sequence */
-  px = pIn2;
-
-  /* Apply loop unrolling and do 4 Copies simultaneously. */
-  k = srcBLen >> 2u;
-
-  /* First part of the processing with loop unrolling copies 4 data points at a time.       
-   ** a second loop below copies for the remaining 1 to 3 samples. */
-
-  /* Copy smaller length input sequence in reverse order into second scratch buffer */
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner */
-    *pScr2-- = *px++;
-    *pScr2-- = *px++;
-    *pScr2-- = *px++;
-    *pScr2-- = *px++;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-  /* If the count is not a multiple of 4, copy remaining samples here.       
-   ** No loop unrolling is used. */
-  k = srcBLen % 0x4u;
-
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner for remaining samples */
-    *pScr2-- = *px++;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-  /* Initialze temporary scratch pointer */
-  pScr1 = pScratch1;
-
-  /* Assuming scratch1 buffer is aligned by 32-bit */
-  /* Fill (srcBLen - 1u) zeros in scratch1 buffer */
-  arm_fill_q15(0, pScr1, (srcBLen - 1u));
-
-  /* Update temporary scratch pointer */
-  pScr1 += (srcBLen - 1u);
-
-  /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-  /* Copy (srcALen) samples in scratch buffer */
-  arm_copy_q15(pIn1, pScr1, srcALen);
-
-  /* Update pointers */
-  pScr1 += srcALen;
-
-#else
-
-  /* Apply loop unrolling and do 4 Copies simultaneously. */
-  k = srcALen >> 2u;
-
-  /* First part of the processing with loop unrolling copies 4 data points at a time.       
-   ** a second loop below copies for the remaining 1 to 3 samples. */
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner */
-    *pScr1++ = *pIn1++;
-    *pScr1++ = *pIn1++;
-    *pScr1++ = *pIn1++;
-    *pScr1++ = *pIn1++;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-  /* If the count is not a multiple of 4, copy remaining samples here.       
-   ** No loop unrolling is used. */
-  k = srcALen % 0x4u;
-
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner for remaining samples */
-    *pScr1++ = *pIn1++;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-  /* Fill (srcBLen - 1u) zeros at end of scratch buffer */
-  arm_fill_q15(0, pScr1, (srcBLen - 1u));
-
-  /* Update pointer */
-  pScr1 += (srcBLen - 1u);
-
-#else
-
-  /* Apply loop unrolling and do 4 Copies simultaneously. */
-  k = (srcBLen - 1u) >> 2u;
-
-  /* First part of the processing with loop unrolling copies 4 data points at a time.       
-   ** a second loop below copies for the remaining 1 to 3 samples. */
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner */
-    *pScr1++ = 0;
-    *pScr1++ = 0;
-    *pScr1++ = 0;
-    *pScr1++ = 0;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-  /* If the count is not a multiple of 4, copy remaining samples here.       
-   ** No loop unrolling is used. */
-  k = (srcBLen - 1u) % 0x4u;
-
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner for remaining samples */
-    *pScr1++ = 0;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-  /* Temporary pointer for scratch2 */
-  py = pScratch2;
-
-
-  /* Initialization of pIn2 pointer */
-  pIn2 = py;
-
-  /* First part of the processing with loop unrolling process 4 data points at a time.       
-   ** a second loop below process for the remaining 1 to 3 samples. */
-
-  /* Actual convolution process starts here */
-  blkCnt = (srcALen + srcBLen - 1u) >> 2;
-
-  while(blkCnt > 0)
-  {
-    /* Initialze temporary scratch pointer as scratch1 */
-    pScr1 = pScratch1;
-
-    /* Clear Accumlators */
-    acc0 = 0;
-    acc1 = 0;
-    acc2 = 0;
-    acc3 = 0;
-
-    /* Read two samples from scratch1 buffer */
-    x1 = *__SIMD32(pScr1)++;
-
-    /* Read next two samples from scratch1 buffer */
-    x2 = *__SIMD32(pScr1)++;
-
-    tapCnt = (srcBLen) >> 2u;
-
-    while(tapCnt > 0u)
-    {
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-      /* Read four samples from smaller buffer */
-      y1 = _SIMD32_OFFSET(pIn2);
-      y2 = _SIMD32_OFFSET(pIn2 + 2u);
-
-      /* multiply and accumlate */
-      acc0 = __SMLAD(x1, y1, acc0);
-      acc2 = __SMLAD(x2, y1, acc2);
-
-      /* pack input data */
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      /* multiply and accumlate */
-      acc1 = __SMLADX(x3, y1, acc1);
-
-      /* Read next two samples from scratch1 buffer */
-      x1 = _SIMD32_OFFSET(pScr1);
-
-      /* multiply and accumlate */
-      acc0 = __SMLAD(x2, y2, acc0);
-      acc2 = __SMLAD(x1, y2, acc2);
-
-      /* pack input data */
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x1, x2, 0);
-#else
-      x3 = __PKHBT(x2, x1, 0);
-#endif
-
-      acc3 = __SMLADX(x3, y1, acc3);
-      acc1 = __SMLADX(x3, y2, acc1);
-
-      x2 = _SIMD32_OFFSET(pScr1 + 2u);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      acc3 = __SMLADX(x3, y2, acc3);
-
-#else	 
-
-      /* Read four samples from smaller buffer */
-	  a = *pIn2;
-	  b = *(pIn2 + 1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      y1 = __PKHBT(a, b, 16);
-#else
-      y1 = __PKHBT(b, a, 16);
-#endif
-	  
-	  a = *(pIn2 + 2);
-	  b = *(pIn2 + 3);
-#ifndef ARM_MATH_BIG_ENDIAN
-      y2 = __PKHBT(a, b, 16);
-#else
-      y2 = __PKHBT(b, a, 16);
-#endif				
-
-      acc0 = __SMLAD(x1, y1, acc0);
-
-      acc2 = __SMLAD(x2, y1, acc2);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      acc1 = __SMLADX(x3, y1, acc1);
-
-	  a = *pScr1;
-	  b = *(pScr1 + 1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x1 = __PKHBT(a, b, 16);
-#else
-      x1 = __PKHBT(b, a, 16);
-#endif
-
-      acc0 = __SMLAD(x2, y2, acc0);
-
-      acc2 = __SMLAD(x1, y2, acc2);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x1, x2, 0);
-#else
-      x3 = __PKHBT(x2, x1, 0);
-#endif
-
-      acc3 = __SMLADX(x3, y1, acc3);
-
-      acc1 = __SMLADX(x3, y2, acc1);
-
-	  a = *(pScr1 + 2);
-	  b = *(pScr1 + 3);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x2 = __PKHBT(a, b, 16);
-#else
-      x2 = __PKHBT(b, a, 16);
-#endif
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      acc3 = __SMLADX(x3, y2, acc3);
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-      /* update scratch pointers */
-      pIn2 += 4u;
-      pScr1 += 4u;
-
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Update scratch pointer for remaining samples of smaller length sequence */
-    pScr1 -= 4u;
-
-    /* apply same above for remaining samples of smaller length sequence */
-    tapCnt = (srcBLen) & 3u;
-
-    while(tapCnt > 0u)
-    {
-
-      /* accumlate the results */
-      acc0 += (*pScr1++ * *pIn2);
-      acc1 += (*pScr1++ * *pIn2);
-      acc2 += (*pScr1++ * *pIn2);
-      acc3 += (*pScr1++ * *pIn2++);
-
-      pScr1 -= 3u;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    blkCnt--;
-
-
-    /* Store the results in the accumulators in the destination buffer. */
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    *__SIMD32(pOut)++ =
-      __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16);
-
-    *__SIMD32(pOut)++ =
-      __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16);
-
-
-#else
-
-    *__SIMD32(pOut)++ =
-      __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16);
-
-    *__SIMD32(pOut)++ =
-      __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16);
-
-
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN       */
-
-    /* Initialization of inputB pointer */
-    pIn2 = py;
-
-    pScratch1 += 4u;
-
-  }
-
-
-  blkCnt = (srcALen + srcBLen - 1u) & 0x3;
-
-  /* Calculate convolution for remaining samples of Bigger length sequence */
-  while(blkCnt > 0)
-  {
-    /* Initialze temporary scratch pointer as scratch1 */
-    pScr1 = pScratch1;
-
-    /* Clear Accumlators */
-    acc0 = 0;
-
-    tapCnt = (srcBLen) >> 1u;
-
-    while(tapCnt > 0u)
-    {
-
-      acc0 += (*pScr1++ * *pIn2++);
-      acc0 += (*pScr1++ * *pIn2++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    tapCnt = (srcBLen) & 1u;
-
-    /* apply same above for remaining samples of smaller length sequence */
-    while(tapCnt > 0u)
-    {
-
-      /* accumlate the results */
-      acc0 += (*pScr1++ * *pIn2++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    blkCnt--;
-
-    /* The result is in 2.30 format.  Convert to 1.15 with saturation.       
-     ** Then store the output in the destination buffer. */
-    *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16));
-
-    /* Initialization of inputB pointer */
-    pIn2 = py;
-
-    pScratch1 += 1u;
-
-  }
-
-}
-
-/**    
- * @} end of Conv group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_fast_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_fast_q15.c
deleted file mode 100644
index e21be3523..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_fast_q15.c
+++ /dev/null
@@ -1,1405 +0,0 @@
-/* ----------------------------------------------------------------------   
-* Copyright (C) 2010 ARM Limited. All rights reserved.   
-*   
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*   
-* Project: 	    CMSIS DSP Library   
-* Title:		arm_conv_fast_q15.c   
-*   
-* Description:	Fast Q15 Convolution.   
-*   
-* Target Processor: Cortex-M4/Cortex-M3
-* 
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-* 
-* Version 1.0.11 2011/10/18 
-*    Bug Fix in conv, correlation, partial convolution. 
-*
-* Version 1.0.10 2011/7/15 
-*    Big Endian support added and Merged M0 and M3/M4 Source code.  
-*   
-* Version 1.0.3 2010/11/29  
-*    Re-organized the CMSIS folders and updated documentation.   
-*    
-* Version 1.0.2 2010/11/11   
-*    Documentation updated.    
-*   
-* Version 1.0.1 2010/10/05    
-*    Production release and review comments incorporated.   
-*   
-* Version 1.0.0 2010/09/20    
-*    Production release and review comments incorporated.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**   
- * @ingroup groupFilters   
- */
-
-/**   
- * @addtogroup Conv   
- * @{   
- */
-
-/**   
- * @brief Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.   
- * @param[in] *pSrcA points to the first input sequence.   
- * @param[in] srcALen length of the first input sequence.   
- * @param[in] *pSrcB points to the second input sequence.   
- * @param[in] srcBLen length of the second input sequence.   
- * @param[out] *pDst points to the location where the output result is written.  Length srcALen+srcBLen-1.   
- * @return none.   
- *   
- * Scaling and Overflow Behavior:   
- *   
- * \par   
- * This fast version uses a 32-bit accumulator with 2.30 format.   
- * The accumulator maintains full precision of the intermediate multiplication results   
- * but provides only a single guard bit. There is no saturation on intermediate additions.   
- * Thus, if the accumulator overflows it wraps around and distorts the result.   
- * The input signals should be scaled down to avoid intermediate overflows.   
- * Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows,   
- * as maximum of min(srcALen, srcBLen) number of additions are carried internally.   
- * The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result.   
- *   
- * \par   
- * See arm_conv_q15() for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion.   
- */
-
-void arm_conv_fast_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst)
-{
-#ifndef UNALIGNED_SUPPORT_DISABLE
-  q15_t *pIn1;                                   /* inputA pointer */
-  q15_t *pIn2;                                   /* inputB pointer */
-  q15_t *pOut = pDst;                            /* output pointer */
-  q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulator */
-  q15_t *px;                                     /* Intermediate inputA pointer  */
-  q15_t *py;                                     /* Intermediate inputB pointer  */
-  q15_t *pSrc1, *pSrc2;                          /* Intermediate pointers */
-  q31_t x0, x1, x2, x3, c0;                      /* Temporary variables to hold state and coefficient values */
-  uint32_t blockSize1, blockSize2, blockSize3, j, k, count, blkCnt;     /* loop counter */
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcA;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcB;
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcB;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcA;
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-  }
-
-  /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
-  /* The function is internally   
-   * divided into three stages according to the number of multiplications that has to be   
-   * taken place between inputA samples and inputB samples. In the first stage of the   
-   * algorithm, the multiplications increase by one for every iteration.   
-   * In the second stage of the algorithm, srcBLen number of multiplications are done.   
-   * In the third stage of the algorithm, the multiplications decrease by one   
-   * for every iteration. */
-
-  /* The algorithm is implemented in three stages.   
-     The loop counters of each stage is initiated here. */
-  blockSize1 = srcBLen - 1u;
-  blockSize2 = srcALen - (srcBLen - 1u);
-  blockSize3 = blockSize1;
-
-  /* --------------------------   
-   * Initializations of stage1   
-   * -------------------------*/
-
-  /* sum = x[0] * y[0]   
-   * sum = x[0] * y[1] + x[1] * y[0]   
-   * ....   
-   * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]   
-   */
-
-  /* In this stage the MAC operations are increased by 1 for every iteration.   
-     The count variable holds the number of MAC operations performed */
-  count = 1u;
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-
-  /* ------------------------   
-   * Stage1 process   
-   * ----------------------*/
-
-  /* For loop unrolling by 4, this stage is divided into two. */
-  /* First part of this stage computes the MAC operations less than 4 */
-  /* Second part of this stage computes the MAC operations greater than or equal to 4 */
-
-  /* The first part of the stage starts here */
-  while((count < 4u) && (blockSize1 > 0u))
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Loop over number of MAC operations between   
-     * inputA samples and inputB samples */
-    k = count;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      sum = __SMLAD(*px++, *py--, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = (q15_t) (sum >> 15);
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    py = pIn2 + count;
-    px = pIn1;
-
-    /* Increment the MAC count */
-    count++;
-
-    /* Decrement the loop counter */
-    blockSize1--;
-  }
-
-  /* The second part of the stage starts here */
-  /* The internal loop, over count, is unrolled by 4 */
-  /* To, read the last two inputB samples using SIMD:   
-   * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */
-  py = py - 1;
-
-  while(blockSize1 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      /* x[0], x[1] are multiplied with y[srcBLen - 1], y[srcBLen - 2] respectively */
-      sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
-      /* x[2], x[3] are multiplied with y[srcBLen - 3], y[srcBLen - 4] respectively */
-      sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* For the next MAC operations, the pointer py is used without SIMD   
-     * So, py is incremented by 1 */
-    py = py + 1u;
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.   
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      sum = __SMLAD(*px++, *py--, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = (q15_t) (sum >> 15);
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    py = pIn2 + (count - 1u);
-    px = pIn1;
-
-    /* Increment the MAC count */
-    count++;
-
-    /* Decrement the loop counter */
-    blockSize1--;
-  }
-
-  /* --------------------------   
-   * Initializations of stage2   
-   * ------------------------*/
-
-  /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]   
-   * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]   
-   * ....   
-   * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]   
-   */
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  pSrc2 = pIn2 + (srcBLen - 1u);
-  py = pSrc2;
-
-  /* count is the index by which the pointer pIn1 to be incremented */
-  count = 0u;
-
-
-  /* --------------------   
-   * Stage2 process   
-   * -------------------*/
-
-  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.   
-   * So, to loop unroll over blockSize2,   
-   * srcBLen should be greater than or equal to 4 */
-  if(srcBLen >= 4u)
-  {
-    /* Loop unroll over blockSize2, by 4 */
-    blkCnt = blockSize2 >> 2u;
-
-    while(blkCnt > 0u)
-    {
-      py = py - 1u;
-
-      /* Set all accumulators to zero */
-      acc0 = 0;
-      acc1 = 0;
-      acc2 = 0;
-      acc3 = 0;
-
-
-      /* read x[0], x[1] samples */
-      x0 = *__SIMD32(px);
-      /* read x[1], x[2] samples */
-      x1 = _SIMD32_OFFSET(px+1);
-	  px+= 2u;
-
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      do
-      {
-        /* Read the last two inputB samples using SIMD:   
-         * y[srcBLen - 1] and y[srcBLen - 2] */
-        c0 = *__SIMD32(py)--;
-
-        /* acc0 +=  x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */
-        acc0 = __SMLADX(x0, c0, acc0);
-
-        /* acc1 +=  x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */
-        acc1 = __SMLADX(x1, c0, acc1);
-
-        /* Read x[2], x[3] */
-        x2 = *__SIMD32(px);
-
-        /* Read x[3], x[4] */
-        x3 = _SIMD32_OFFSET(px+1);
-
-        /* acc2 +=  x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */
-        acc2 = __SMLADX(x2, c0, acc2);
-
-        /* acc3 +=  x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */
-        acc3 = __SMLADX(x3, c0, acc3);
-
-        /* Read y[srcBLen - 3] and y[srcBLen - 4] */
-        c0 = *__SIMD32(py)--;
-
-        /* acc0 +=  x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */
-        acc0 = __SMLADX(x2, c0, acc0);
-
-        /* acc1 +=  x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */
-        acc1 = __SMLADX(x3, c0, acc1);
-
-        /* Read x[4], x[5] */
-        x0 = _SIMD32_OFFSET(px+2);
-
-        /* Read x[5], x[6] */
-        x1 = _SIMD32_OFFSET(px+3);
-		px += 4u;
-
-        /* acc2 +=  x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */
-        acc2 = __SMLADX(x0, c0, acc2);
-
-        /* acc3 +=  x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */
-        acc3 = __SMLADX(x1, c0, acc3);
-
-      } while(--k);
-
-      /* For the next MAC operations, SIMD is not used   
-       * So, the 16 bit pointer if inputB, py is updated */
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      if(k == 1u)
-      {
-        /* Read y[srcBLen - 5] */
-        c0 = *(py+1);
-
-#ifdef  ARM_MATH_BIG_ENDIAN
-
-        c0 = c0 << 16u;
-
-#else
-
-        c0 = c0 & 0x0000FFFF;
-
-#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
-
-        /* Read x[7] */
-        x3 = *__SIMD32(px);
-		px++;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLAD(x0, c0, acc0);
-        acc1 = __SMLAD(x1, c0, acc1);
-        acc2 = __SMLADX(x1, c0, acc2);
-        acc3 = __SMLADX(x3, c0, acc3);
-      }
-
-      if(k == 2u)
-      {
-        /* Read y[srcBLen - 5], y[srcBLen - 6] */
-        c0 = _SIMD32_OFFSET(py);
-
-        /* Read x[7], x[8] */
-        x3 = *__SIMD32(px);
-
-        /* Read x[9] */
-        x2 = _SIMD32_OFFSET(px+1);
-		px += 2u;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLADX(x0, c0, acc0);
-        acc1 = __SMLADX(x1, c0, acc1);
-        acc2 = __SMLADX(x3, c0, acc2);
-        acc3 = __SMLADX(x2, c0, acc3);
-      }
-
-      if(k == 3u)
-      {
-        /* Read y[srcBLen - 5], y[srcBLen - 6] */
-        c0 = _SIMD32_OFFSET(py);
-
-        /* Read x[7], x[8] */
-        x3 = *__SIMD32(px);
-
-        /* Read x[9] */
-        x2 = _SIMD32_OFFSET(px+1);
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLADX(x0, c0, acc0);
-        acc1 = __SMLADX(x1, c0, acc1);
-        acc2 = __SMLADX(x3, c0, acc2);
-        acc3 = __SMLADX(x2, c0, acc3);
-
-        /* Read y[srcBLen - 7] */
-		c0 = *(py-1);
-#ifdef  ARM_MATH_BIG_ENDIAN
-
-        c0 = c0 << 16u;
-#else
-
-        c0 = c0 & 0x0000FFFF;
-#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
-
-        /* Read x[10] */
-        x3 =  _SIMD32_OFFSET(px+2);
-		px += 3u;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLADX(x1, c0, acc0);
-        acc1 = __SMLAD(x2, c0, acc1);
-        acc2 = __SMLADX(x2, c0, acc2);
-        acc3 = __SMLADX(x3, c0, acc3);
-      }
-
-      /* Store the results in the accumulators in the destination buffer. */
-#ifndef ARM_MATH_BIG_ENDIAN
-
-      *__SIMD32(pOut)++ = __PKHBT((acc0 >> 15), (acc1 >> 15), 16);
-      *__SIMD32(pOut)++ = __PKHBT((acc2 >> 15), (acc3 >> 15), 16);
-
-#else
-
-      *__SIMD32(pOut)++ = __PKHBT((acc1 >> 15), (acc0 >> 15), 16);
-      *__SIMD32(pOut)++ = __PKHBT((acc3 >> 15), (acc2 >> 15), 16);
-
-#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-      /* Increment the pointer pIn1 index, count by 4 */
-      count += 4u;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.   
-     ** No loop unrolling is used. */
-    blkCnt = blockSize2 % 0x4u;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += ((q31_t) * px++ * *py--);
-        sum += ((q31_t) * px++ * *py--);
-        sum += ((q31_t) * px++ * *py--);
-        sum += ((q31_t) * px++ * *py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += ((q31_t) * px++ * *py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (sum >> 15);
-
-      /* Increment the pointer pIn1 index, count by 1 */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-  else
-  {
-    /* If the srcBLen is not a multiple of 4,   
-     * the blockSize2 loop cannot be unrolled by 4 */
-    blkCnt = blockSize2;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* srcBLen number of MACS should be performed */
-      k = srcBLen;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum += ((q31_t) * px++ * *py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (sum >> 15);
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-
-
-  /* --------------------------   
-   * Initializations of stage3   
-   * -------------------------*/
-
-  /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]   
-   * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]   
-   * ....   
-   * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]   
-   * sum +=  x[srcALen-1] * y[srcBLen-1]   
-   */
-
-  /* In this stage the MAC operations are decreased by 1 for every iteration.   
-     The blockSize3 variable holds the number of MAC operations performed */
-
-  /* Working pointer of inputA */
-  pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
-  px = pSrc1;
-
-  /* Working pointer of inputB */
-  pSrc2 = pIn2 + (srcBLen - 1u);
-  pIn2 = pSrc2 - 1u;
-  py = pIn2;
-
-  /* -------------------   
-   * Stage3 process   
-   * ------------------*/
-
-  /* For loop unrolling by 4, this stage is divided into two. */
-  /* First part of this stage computes the MAC operations greater than 4 */
-  /* Second part of this stage computes the MAC operations less than or equal to 4 */
-
-  /* The first part of the stage starts here */
-  j = blockSize3 >> 2u;
-
-  while((j > 0u) && (blockSize3 > 0u))
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = blockSize3 >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* x[srcALen - srcBLen + 1], x[srcALen - srcBLen + 2] are multiplied   
-       * with y[srcBLen - 1], y[srcBLen - 2] respectively */
-      sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
-      /* x[srcALen - srcBLen + 3], x[srcALen - srcBLen + 4] are multiplied   
-       * with y[srcBLen - 3], y[srcBLen - 4] respectively */
-      sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* For the next MAC operations, the pointer py is used without SIMD   
-     * So, py is incremented by 1 */
-    py = py + 1u;
-
-    /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here.   
-     ** No loop unrolling is used. */
-    k = blockSize3 % 0x4u;
-
-    while(k > 0u)
-    {
-      /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */
-      sum = __SMLAD(*px++, *py--, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = (q15_t) (sum >> 15);
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    px = ++pSrc1;
-    py = pIn2;
-
-    /* Decrement the loop counter */
-    blockSize3--;
-
-    j--;
-  }
-
-  /* The second part of the stage starts here */
-  /* SIMD is not used for the next MAC operations,   
-   * so pointer py is updated to read only one sample at a time */
-  py = py + 1u;
-
-  while(blockSize3 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = blockSize3;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      /* sum +=  x[srcALen-1] * y[srcBLen-1] */
-      sum = __SMLAD(*px++, *py--, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = (q15_t) (sum >> 15);
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    px = ++pSrc1;
-    py = pSrc2;
-
-    /* Decrement the loop counter */
-    blockSize3--;
-  }
-
-#else
-  q15_t *pIn1;                                   /* inputA pointer */
-  q15_t *pIn2;                                   /* inputB pointer */
-  q15_t *pOut = pDst;                            /* output pointer */
-  q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulator */
-  q15_t *px;                                     /* Intermediate inputA pointer  */
-  q15_t *py;                                     /* Intermediate inputB pointer  */
-  q15_t *pSrc1, *pSrc2;                          /* Intermediate pointers */
-  q31_t x0, x1, x2, x3, c0;                      /* Temporary variables to hold state and coefficient values */
-  uint32_t blockSize1, blockSize2, blockSize3, j, k, count, blkCnt;     /* loop counter */
-  q15_t a, b;
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcA;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcB;
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcB;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcA;
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-  }
-
-  /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
-  /* The function is internally   
-   * divided into three stages according to the number of multiplications that has to be   
-   * taken place between inputA samples and inputB samples. In the first stage of the   
-   * algorithm, the multiplications increase by one for every iteration.   
-   * In the second stage of the algorithm, srcBLen number of multiplications are done.   
-   * In the third stage of the algorithm, the multiplications decrease by one   
-   * for every iteration. */
-
-  /* The algorithm is implemented in three stages.   
-     The loop counters of each stage is initiated here. */
-  blockSize1 = srcBLen - 1u;
-  blockSize2 = srcALen - (srcBLen - 1u);
-  blockSize3 = blockSize1;
-
-  /* --------------------------   
-   * Initializations of stage1   
-   * -------------------------*/
-
-  /* sum = x[0] * y[0]   
-   * sum = x[0] * y[1] + x[1] * y[0]   
-   * ....   
-   * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]   
-   */
-
-  /* In this stage the MAC operations are increased by 1 for every iteration.   
-     The count variable holds the number of MAC operations performed */
-  count = 1u;
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-
-  /* ------------------------   
-   * Stage1 process   
-   * ----------------------*/
-
-  /* For loop unrolling by 4, this stage is divided into two. */
-  /* First part of this stage computes the MAC operations less than 4 */
-  /* Second part of this stage computes the MAC operations greater than or equal to 4 */
-
-  /* The first part of the stage starts here */
-  while((count < 4u) && (blockSize1 > 0u))
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Loop over number of MAC operations between   
-     * inputA samples and inputB samples */
-    k = count;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      sum += ((q31_t) * px++ * *py--);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = (q15_t) (sum >> 15);
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    py = pIn2 + count;
-    px = pIn1;
-
-    /* Increment the MAC count */
-    count++;
-
-    /* Decrement the loop counter */
-    blockSize1--;
-  }
-
-  /* The second part of the stage starts here */
-  /* The internal loop, over count, is unrolled by 4 */
-  /* To, read the last two inputB samples using SIMD:   
-   * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */
-  py = py - 1;
-
-  while(blockSize1 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-	py++;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-        sum += ((q31_t) * px++ * *py--);
-        sum += ((q31_t) * px++ * *py--);
-        sum += ((q31_t) * px++ * *py--);
-        sum += ((q31_t) * px++ * *py--);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.   
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      sum += ((q31_t) * px++ * *py--);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = (q15_t) (sum >> 15);
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    py = pIn2 + (count - 1u);
-    px = pIn1;
-
-    /* Increment the MAC count */
-    count++;
-
-    /* Decrement the loop counter */
-    blockSize1--;
-  }
-
-  /* --------------------------   
-   * Initializations of stage2   
-   * ------------------------*/
-
-  /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]   
-   * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]   
-   * ....   
-   * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]   
-   */
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  pSrc2 = pIn2 + (srcBLen - 1u);
-  py = pSrc2;
-
-  /* count is the index by which the pointer pIn1 to be incremented */
-  count = 0u;
-
-
-  /* --------------------   
-   * Stage2 process   
-   * -------------------*/
-
-  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.   
-   * So, to loop unroll over blockSize2,   
-   * srcBLen should be greater than or equal to 4 */
-  if(srcBLen >= 4u)
-  {
-    /* Loop unroll over blockSize2, by 4 */
-    blkCnt = blockSize2 >> 2u;
-
-    while(blkCnt > 0u)
-    {
-      py = py - 1u;
-
-      /* Set all accumulators to zero */
-      acc0 = 0;
-      acc1 = 0;
-      acc2 = 0;
-      acc3 = 0;	  
-
-      /* read x[0], x[1] samples */
-	  a = *px++;
-	  b = *px++;
-
-#ifndef ARM_MATH_BIG_ENDIAN
-	
-	  x0 = __PKHBT(a, b, 16);
-	  a = *px;
-	  x1 = __PKHBT(b, a, 16);
-
-#else
-
-	  x0 = __PKHBT(b, a, 16);
-	  a = *px;
-	  x1 = __PKHBT(a, b, 16);
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	   */
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      do
-      {
-        /* Read the last two inputB samples using SIMD:   
-         * y[srcBLen - 1] and y[srcBLen - 2] */
-		a = *py;
-		b = *(py+1);
-		py -= 2;
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-		c0 = __PKHBT(a, b, 16);
-
-#else
-
- 		c0 = __PKHBT(b, a, 16);;
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-        /* acc0 +=  x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */
-        acc0 = __SMLADX(x0, c0, acc0);
-
-        /* acc1 +=  x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */
-        acc1 = __SMLADX(x1, c0, acc1);
-
-	  a = *px;
-	  b = *(px + 1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-	
-	  x2 = __PKHBT(a, b, 16);
-	  a = *(px + 2);
-	  x3 = __PKHBT(b, a, 16);
-
-#else
-
-	  x2 = __PKHBT(b, a, 16);
-	  a = *(px + 2);
-	  x3 = __PKHBT(a, b, 16);
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	   */
-
-        /* acc2 +=  x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */
-        acc2 = __SMLADX(x2, c0, acc2);
-
-        /* acc3 +=  x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */
-        acc3 = __SMLADX(x3, c0, acc3);
-
-        /* Read y[srcBLen - 3] and y[srcBLen - 4] */
-		a = *py;
-		b = *(py+1);
-		py -= 2;
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-		c0 = __PKHBT(a, b, 16);
-
-#else
-
- 		c0 = __PKHBT(b, a, 16);;
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-        /* acc0 +=  x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */
-        acc0 = __SMLADX(x2, c0, acc0);
-
-        /* acc1 +=  x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */
-        acc1 = __SMLADX(x3, c0, acc1);
-
-        /* Read x[4], x[5], x[6] */
-	  a = *(px + 2);
-	  b = *(px + 3);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-	
-	  x0 = __PKHBT(a, b, 16);
-	  a = *(px + 4);
-	  x1 = __PKHBT(b, a, 16);
-
-#else
-
-	  x0 = __PKHBT(b, a, 16);
-	  a = *(px + 4);
-	  x1 = __PKHBT(a, b, 16);
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	   */
-
-		px += 4u;
-
-        /* acc2 +=  x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */
-        acc2 = __SMLADX(x0, c0, acc2);
-
-        /* acc3 +=  x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */
-        acc3 = __SMLADX(x1, c0, acc3);
-
-      } while(--k);
-
-      /* For the next MAC operations, SIMD is not used   
-       * So, the 16 bit pointer if inputB, py is updated */
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      if(k == 1u)
-      {
-        /* Read y[srcBLen - 5] */
-        c0 = *(py+1);
-
-#ifdef  ARM_MATH_BIG_ENDIAN
-
-        c0 = c0 << 16u;
-
-#else
-
-        c0 = c0 & 0x0000FFFF;
-
-#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
-
-        /* Read x[7] */
-		a = *px;
-		b = *(px+1);
-		px++;
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-		x3 = __PKHBT(a, b, 16);
-
-#else
-
- 		x3 = __PKHBT(b, a, 16);;
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLAD(x0, c0, acc0);
-        acc1 = __SMLAD(x1, c0, acc1);
-        acc2 = __SMLADX(x1, c0, acc2);
-        acc3 = __SMLADX(x3, c0, acc3);
-      }
-
-      if(k == 2u)
-      {
-        /* Read y[srcBLen - 5], y[srcBLen - 6] */
-		a = *py;
-		b = *(py+1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-		c0 = __PKHBT(a, b, 16);
-
-#else
-
- 		c0 = __PKHBT(b, a, 16);;
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-        /* Read x[7], x[8], x[9] */
-	  a = *px;
-	  b = *(px + 1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-	
-	  x3 = __PKHBT(a, b, 16);
-	  a = *(px + 2);
-	  x2 = __PKHBT(b, a, 16);
-
-#else
-
-	  x3 = __PKHBT(b, a, 16);
-	  a = *(px + 2);
-	  x2 = __PKHBT(a, b, 16);
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	   */
-		px += 2u;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLADX(x0, c0, acc0);
-        acc1 = __SMLADX(x1, c0, acc1);
-        acc2 = __SMLADX(x3, c0, acc2);
-        acc3 = __SMLADX(x2, c0, acc3);
-      }
-
-      if(k == 3u)
-      {
-        /* Read y[srcBLen - 5], y[srcBLen - 6] */
-		a = *py;
-		b = *(py+1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-		c0 = __PKHBT(a, b, 16);
-
-#else
-
- 		c0 = __PKHBT(b, a, 16);;
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-        /* Read x[7], x[8], x[9] */
-	  a = *px;
-	  b = *(px + 1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-	
-	  x3 = __PKHBT(a, b, 16);
-	  a = *(px + 2);
-	  x2 = __PKHBT(b, a, 16);
-
-#else
-
-	  x3 = __PKHBT(b, a, 16);
-	  a = *(px + 2);
-	  x2 = __PKHBT(a, b, 16);
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	   */
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLADX(x0, c0, acc0);
-        acc1 = __SMLADX(x1, c0, acc1);
-        acc2 = __SMLADX(x3, c0, acc2);
-        acc3 = __SMLADX(x2, c0, acc3);
-
-        /* Read y[srcBLen - 7] */
-		c0 = *(py-1);
-#ifdef  ARM_MATH_BIG_ENDIAN
-
-        c0 = c0 << 16u;
-#else
-
-        c0 = c0 & 0x0000FFFF;
-#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
-
-        /* Read x[10] */
-		a = *(px+2);
-		b = *(px+3);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-		x3 = __PKHBT(a, b, 16);
-
-#else
-
- 		x3 = __PKHBT(b, a, 16);;
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-		px += 3u;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLADX(x1, c0, acc0);
-        acc1 = __SMLAD(x2, c0, acc1);
-        acc2 = __SMLADX(x2, c0, acc2);
-        acc3 = __SMLADX(x3, c0, acc3);
-      }
-
-      /* Store the results in the accumulators in the destination buffer. */
-	  *pOut++ = (q15_t)(acc0 >> 15);
-	  *pOut++ = (q15_t)(acc1 >> 15);
-	  *pOut++ = (q15_t)(acc2 >> 15);
-	  *pOut++ = (q15_t)(acc3 >> 15);
-
-      /* Increment the pointer pIn1 index, count by 4 */
-      count += 4u;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.   
-     ** No loop unrolling is used. */
-    blkCnt = blockSize2 % 0x4u;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += ((q31_t) * px++ * *py--);
-        sum += ((q31_t) * px++ * *py--);
-        sum += ((q31_t) * px++ * *py--);
-        sum += ((q31_t) * px++ * *py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += ((q31_t) * px++ * *py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (sum >> 15);
-
-      /* Increment the pointer pIn1 index, count by 1 */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-  else
-  {
-    /* If the srcBLen is not a multiple of 4,   
-     * the blockSize2 loop cannot be unrolled by 4 */
-    blkCnt = blockSize2;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* srcBLen number of MACS should be performed */
-      k = srcBLen;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum += ((q31_t) * px++ * *py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (sum >> 15);
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-
-
-  /* --------------------------   
-   * Initializations of stage3   
-   * -------------------------*/
-
-  /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]   
-   * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]   
-   * ....   
-   * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]   
-   * sum +=  x[srcALen-1] * y[srcBLen-1]   
-   */
-
-  /* In this stage the MAC operations are decreased by 1 for every iteration.   
-     The blockSize3 variable holds the number of MAC operations performed */
-
-  /* Working pointer of inputA */
-  pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
-  px = pSrc1;
-
-  /* Working pointer of inputB */
-  pSrc2 = pIn2 + (srcBLen - 1u);
-  pIn2 = pSrc2 - 1u;
-  py = pIn2;
-
-  /* -------------------   
-   * Stage3 process   
-   * ------------------*/
-
-  /* For loop unrolling by 4, this stage is divided into two. */
-  /* First part of this stage computes the MAC operations greater than 4 */
-  /* Second part of this stage computes the MAC operations less than or equal to 4 */
-
-  /* The first part of the stage starts here */
-  j = blockSize3 >> 2u;
-
-  while((j > 0u) && (blockSize3 > 0u))
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = blockSize3 >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-	py++;
-
-    while(k > 0u)
-    {	
-        sum += ((q31_t) * px++ * *py--);
-        sum += ((q31_t) * px++ * *py--);
-        sum += ((q31_t) * px++ * *py--);
-        sum += ((q31_t) * px++ * *py--);
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here.   
-     ** No loop unrolling is used. */
-    k = blockSize3 % 0x4u;
-
-    while(k > 0u)
-    {
-      /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */
-        sum += ((q31_t) * px++ * *py--);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = (q15_t) (sum >> 15);
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    px = ++pSrc1;
-    py = pIn2;
-
-    /* Decrement the loop counter */
-    blockSize3--;
-
-    j--;
-  }
-
-  /* The second part of the stage starts here */
-  /* SIMD is not used for the next MAC operations,   
-   * so pointer py is updated to read only one sample at a time */
-  py = py + 1u;
-
-  while(blockSize3 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = blockSize3;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      /* sum +=  x[srcALen-1] * y[srcBLen-1] */
-        sum += ((q31_t) * px++ * *py--);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = (q15_t) (sum >> 15);
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    px = ++pSrc1;
-    py = pSrc2;
-
-    /* Decrement the loop counter */
-    blockSize3--;
-  }
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-}
-
-/**   
- * @} end of Conv group   
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_fast_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_fast_q31.c
deleted file mode 100644
index e675c11ce..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_fast_q31.c
+++ /dev/null
@@ -1,572 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_conv_fast_q31.c    
-*    
-* Description:	Q31 Convolution (fast version).    
-*    
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*  
-* Version 1.0.11 2011/10/18  
-*    Bug Fix in conv, correlation, partial convolution.  
-* 
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup Conv    
- * @{    
- */
-
-/**    
- * @param[in] *pSrcA points to the first input sequence.    
- * @param[in] srcALen length of the first input sequence.    
- * @param[in] *pSrcB points to the second input sequence.    
- * @param[in] srcBLen length of the second input sequence.    
- * @param[out] *pDst points to the location where the output result is written.  Length srcALen+srcBLen-1.    
- * @return none.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * This function is optimized for speed at the expense of fixed-point precision and overflow protection.    
- * The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format.    
- * These intermediate results are accumulated in a 32-bit register in 2.30 format.    
- * Finally, the accumulator is saturated and converted to a 1.31 result.    
- *    
- * \par    
- * The fast version has the same overflow behavior as the standard version but provides less precision since it discards the low 32 bits of each multiplication result.    
- * In order to avoid overflows completely the input signals must be scaled down.    
- * Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows,    
- * as maximum of min(srcALen, srcBLen) number of additions are carried internally.    
- *    
- * \par    
- * See arm_conv_q31() for a slower implementation of this function which uses 64-bit accumulation to provide higher precision.    
- */
-
-void arm_conv_fast_q31(
-  q31_t * pSrcA,
-  uint32_t srcALen,
-  q31_t * pSrcB,
-  uint32_t srcBLen,
-  q31_t * pDst)
-{
-  q31_t *pIn1;                                   /* inputA pointer */
-  q31_t *pIn2;                                   /* inputB pointer */
-  q31_t *pOut = pDst;                            /* output pointer */
-  q31_t *px;                                     /* Intermediate inputA pointer  */
-  q31_t *py;                                     /* Intermediate inputB pointer  */
-  q31_t *pSrc1, *pSrc2;                          /* Intermediate pointers */
-  q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulator */
-  q31_t x0, x1, x2, x3, c0;                      /* Temporary variables to hold state and coefficient values */
-  uint32_t j, k, count, blkCnt, blockSize1, blockSize2, blockSize3;     /* loop counter */
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcA;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcB;
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcB;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcA;
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-  }
-
-  /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
-  /* The function is internally    
-   * divided into three stages according to the number of multiplications that has to be    
-   * taken place between inputA samples and inputB samples. In the first stage of the    
-   * algorithm, the multiplications increase by one for every iteration.    
-   * In the second stage of the algorithm, srcBLen number of multiplications are done.    
-   * In the third stage of the algorithm, the multiplications decrease by one    
-   * for every iteration. */
-
-  /* The algorithm is implemented in three stages.    
-     The loop counters of each stage is initiated here. */
-  blockSize1 = srcBLen - 1u;
-  blockSize2 = srcALen - (srcBLen - 1u);
-  blockSize3 = blockSize1;
-
-  /* --------------------------    
-   * Initializations of stage1    
-   * -------------------------*/
-
-  /* sum = x[0] * y[0]    
-   * sum = x[0] * y[1] + x[1] * y[0]    
-   * ....    
-   * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]    
-   */
-
-  /* In this stage the MAC operations are increased by 1 for every iteration.    
-     The count variable holds the number of MAC operations performed */
-  count = 1u;
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-
-  /* ------------------------    
-   * Stage1 process    
-   * ----------------------*/
-
-  /* The first stage starts here */
-  while(blockSize1 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* x[0] * y[srcBLen - 1] */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py--))) >> 32);
-
-      /* x[1] * y[srcBLen - 2] */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py--))) >> 32);
-
-      /* x[2] * y[srcBLen - 3] */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py--))) >> 32);
-
-      /* x[3] * y[srcBLen - 4] */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py--))) >> 32);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.    
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py--))) >> 32);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = sum << 1;
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    py = pIn2 + count;
-    px = pIn1;
-
-    /* Increment the MAC count */
-    count++;
-
-    /* Decrement the loop counter */
-    blockSize1--;
-  }
-
-  /* --------------------------    
-   * Initializations of stage2    
-   * ------------------------*/
-
-  /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]    
-   * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]    
-   * ....    
-   * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]    
-   */
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  pSrc2 = pIn2 + (srcBLen - 1u);
-  py = pSrc2;
-
-  /* count is index by which the pointer pIn1 to be incremented */
-  count = 0u;
-
-  /* -------------------    
-   * Stage2 process    
-   * ------------------*/
-
-  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.    
-   * So, to loop unroll over blockSize2,    
-   * srcBLen should be greater than or equal to 4 */
-  if(srcBLen >= 4u)
-  {
-    /* Loop unroll over blockSize2, by 4 */
-    blkCnt = blockSize2 >> 2u;
-
-    while(blkCnt > 0u)
-    {
-      /* Set all accumulators to zero */
-      acc0 = 0;
-      acc1 = 0;
-      acc2 = 0;
-      acc3 = 0;
-
-      /* read x[0], x[1], x[2] samples */
-      x0 = *(px++);
-      x1 = *(px++);
-      x2 = *(px++);
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      do
-      {
-        /* Read y[srcBLen - 1] sample */
-        c0 = *(py--);
-
-        /* Read x[3] sample */
-        x3 = *(px++);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[0] * y[srcBLen - 1] */
-        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
-
-        /* acc1 +=  x[1] * y[srcBLen - 1] */
-        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
-
-        /* acc2 +=  x[2] * y[srcBLen - 1] */
-        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
-
-        /* acc3 +=  x[3] * y[srcBLen - 1] */
-        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
-
-        /* Read y[srcBLen - 2] sample */
-        c0 = *(py--);
-
-        /* Read x[4] sample */
-        x0 = *(px++);
-
-        /* Perform the multiply-accumulate */
-        /* acc0 +=  x[1] * y[srcBLen - 2] */
-        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x1 * c0)) >> 32);
-        /* acc1 +=  x[2] * y[srcBLen - 2] */
-        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x2 * c0)) >> 32);
-        /* acc2 +=  x[3] * y[srcBLen - 2] */
-        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x3 * c0)) >> 32);
-        /* acc3 +=  x[4] * y[srcBLen - 2] */
-        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x0 * c0)) >> 32);
-
-        /* Read y[srcBLen - 3] sample */
-        c0 = *(py--);
-
-        /* Read x[5] sample */
-        x1 = *(px++);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[2] * y[srcBLen - 3] */
-        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x2 * c0)) >> 32);
-        /* acc1 +=  x[3] * y[srcBLen - 3] */
-        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x3 * c0)) >> 32);
-        /* acc2 +=  x[4] * y[srcBLen - 3] */
-        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x0 * c0)) >> 32);
-        /* acc3 +=  x[5] * y[srcBLen - 3] */
-        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x1 * c0)) >> 32);
-
-        /* Read y[srcBLen - 4] sample */
-        c0 = *(py--);
-
-        /* Read x[6] sample */
-        x2 = *(px++);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[3] * y[srcBLen - 4] */
-        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x3 * c0)) >> 32);
-        /* acc1 +=  x[4] * y[srcBLen - 4] */
-        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x0 * c0)) >> 32);
-        /* acc2 +=  x[5] * y[srcBLen - 4] */
-        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x1 * c0)) >> 32);
-        /* acc3 +=  x[6] * y[srcBLen - 4] */
-        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x2 * c0)) >> 32);
-
-
-      } while(--k);
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Read y[srcBLen - 5] sample */
-        c0 = *(py--);
-
-        /* Read x[7] sample */
-        x3 = *(px++);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[4] * y[srcBLen - 5] */
-        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
-        /* acc1 +=  x[5] * y[srcBLen - 5] */
-        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
-        /* acc2 +=  x[6] * y[srcBLen - 5] */
-        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
-        /* acc3 +=  x[7] * y[srcBLen - 5] */
-        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
-
-        /* Reuse the present samples for the next MAC */
-        x0 = x1;
-        x1 = x2;
-        x2 = x3;
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the results in the accumulators in the destination buffer. */
-      *pOut++ = (q31_t) (acc0 << 1);
-      *pOut++ = (q31_t) (acc1 << 1);
-      *pOut++ = (q31_t) (acc2 << 1);
-      *pOut++ = (q31_t) (acc3 << 1);
-
-      /* Increment the pointer pIn1 index, count by 4 */
-      count += 4u;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.    
-     ** No loop unrolling is used. */
-    blkCnt = blockSize2 % 0x4u;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py--))) >> 32);
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py--))) >> 32);
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py--))) >> 32);
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py--))) >> 32);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py--))) >> 32);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = sum << 1;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-  else
-  {
-    /* If the srcBLen is not a multiple of 4,    
-     * the blockSize2 loop cannot be unrolled by 4 */
-    blkCnt = blockSize2;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* srcBLen number of MACS should be performed */
-      k = srcBLen;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py--))) >> 32);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = sum << 1;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-
-
-  /* --------------------------    
-   * Initializations of stage3    
-   * -------------------------*/
-
-  /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]    
-   * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]    
-   * ....    
-   * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]    
-   * sum +=  x[srcALen-1] * y[srcBLen-1]    
-   */
-
-  /* In this stage the MAC operations are decreased by 1 for every iteration.    
-     The blockSize3 variable holds the number of MAC operations performed */
-
-  /* Working pointer of inputA */
-  pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
-  px = pSrc1;
-
-  /* Working pointer of inputB */
-  pSrc2 = pIn2 + (srcBLen - 1u);
-  py = pSrc2;
-
-  /* -------------------    
-   * Stage3 process    
-   * ------------------*/
-
-  while(blockSize3 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = blockSize3 >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py--))) >> 32);
-
-      /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py--))) >> 32);
-
-      /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py--))) >> 32);
-
-      /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py--))) >> 32);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here.    
-     ** No loop unrolling is used. */
-    k = blockSize3 % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py--))) >> 32);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = sum << 1;
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    px = ++pSrc1;
-    py = pSrc2;
-
-    /* Decrement the loop counter */
-    blockSize3--;
-  }
-
-}
-
-/**    
- * @} end of Conv group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_opt_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_opt_q15.c
deleted file mode 100644
index 70b4125d9..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_opt_q15.c
+++ /dev/null
@@ -1,544 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_conv_opt_q15.c    
-*    
-* Description:	Convolution of Q15 sequences.      
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.11 2011/10/18  
-*    Bug Fix in conv, correlation, partial convolution.  
-* 
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-*    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup Conv    
- * @{    
- */
-
-/**    
- * @brief Convolution of Q15 sequences.    
- * @param[in] *pSrcA points to the first input sequence.    
- * @param[in] srcALen length of the first input sequence.    
- * @param[in] *pSrcB points to the second input sequence.    
- * @param[in] srcBLen length of the second input sequence.    
- * @param[out] *pDst points to the location where the output result is written.  Length srcALen+srcBLen-1.    
- * @param[in]  *pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.    
- * @param[in]  *pScratch2 points to scratch buffer of size min(srcALen, srcBLen).    
- * @return none.    
- *    
- * \par Restrictions    
- *  If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE    
- *	In this case input, output, scratch1 and scratch2 buffers should be aligned by 32-bit    
- *    
- *       
- * @details    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * The function is implemented using a 64-bit internal accumulator.    
- * Both inputs are in 1.15 format and multiplications yield a 2.30 result.    
- * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.    
- * This approach provides 33 guard bits and there is no risk of overflow.    
- * The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format.    
- *  
- *   
- * \par    
- * Refer to arm_conv_fast_q15() for a faster but less precise version of this function for Cortex-M3 and Cortex-M4.     
- * 
- *  
- */
-
-void arm_conv_opt_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst,
-  q15_t * pScratch1,
-  q15_t * pScratch2)
-{
-  q63_t acc0, acc1, acc2, acc3;                  /* Accumulator */
-  q31_t x1, x2, x3;                              /* Temporary variables to hold state and coefficient values */
-  q31_t y1, y2;                                  /* State variables */
-  q15_t *pOut = pDst;                            /* output pointer */
-  q15_t *pScr1 = pScratch1;                      /* Temporary pointer for scratch1 */
-  q15_t *pScr2 = pScratch2;                      /* Temporary pointer for scratch1 */
-  q15_t *pIn1;                                   /* inputA pointer */
-  q15_t *pIn2;                                   /* inputB pointer */
-  q15_t *px;                                     /* Intermediate inputA pointer  */
-  q15_t *py;                                     /* Intermediate inputB pointer  */
-  uint32_t j, k, blkCnt;                         /* loop counter */
-  uint32_t tapCnt;                               /* loop count */
-#ifdef UNALIGNED_SUPPORT_DISABLE
-
-  q15_t a, b;
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcA;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcB;
-
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcB;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcA;
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-  }
-
-  /* pointer to take end of scratch2 buffer */
-  pScr2 = pScratch2 + srcBLen - 1;
-
-  /* points to smaller length sequence */
-  px = pIn2;
-
-  /* Apply loop unrolling and do 4 Copies simultaneously. */
-  k = srcBLen >> 2u;
-
-  /* First part of the processing with loop unrolling copies 4 data points at a time.       
-   ** a second loop below copies for the remaining 1 to 3 samples. */
-  /* Copy smaller length input sequence in reverse order into second scratch buffer */
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner */
-    *pScr2-- = *px++;
-    *pScr2-- = *px++;
-    *pScr2-- = *px++;
-    *pScr2-- = *px++;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-  /* If the count is not a multiple of 4, copy remaining samples here.       
-   ** No loop unrolling is used. */
-  k = srcBLen % 0x4u;
-
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner for remaining samples */
-    *pScr2-- = *px++;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-  /* Initialze temporary scratch pointer */
-  pScr1 = pScratch1;
-
-  /* Assuming scratch1 buffer is aligned by 32-bit */
-  /* Fill (srcBLen - 1u) zeros in scratch buffer */
-  arm_fill_q15(0, pScr1, (srcBLen - 1u));
-
-  /* Update temporary scratch pointer */
-  pScr1 += (srcBLen - 1u);
-
-  /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-  /* Copy (srcALen) samples in scratch buffer */
-  arm_copy_q15(pIn1, pScr1, srcALen);
-
-  /* Update pointers */
-  pScr1 += srcALen;
-
-#else
-
-  /* Apply loop unrolling and do 4 Copies simultaneously. */
-  k = srcALen >> 2u;
-
-  /* First part of the processing with loop unrolling copies 4 data points at a time.       
-   ** a second loop below copies for the remaining 1 to 3 samples. */
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner */
-    *pScr1++ = *pIn1++;
-    *pScr1++ = *pIn1++;
-    *pScr1++ = *pIn1++;
-    *pScr1++ = *pIn1++;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-  /* If the count is not a multiple of 4, copy remaining samples here.       
-   ** No loop unrolling is used. */
-  k = srcALen % 0x4u;
-
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner for remaining samples */
-    *pScr1++ = *pIn1++;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-#endif
-
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-  /* Fill (srcBLen - 1u) zeros at end of scratch buffer */
-  arm_fill_q15(0, pScr1, (srcBLen - 1u));
-
-  /* Update pointer */
-  pScr1 += (srcBLen - 1u);
-
-#else
-
-  /* Apply loop unrolling and do 4 Copies simultaneously. */
-  k = (srcBLen - 1u) >> 2u;
-
-  /* First part of the processing with loop unrolling copies 4 data points at a time.       
-   ** a second loop below copies for the remaining 1 to 3 samples. */
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner */
-    *pScr1++ = 0;
-    *pScr1++ = 0;
-    *pScr1++ = 0;
-    *pScr1++ = 0;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-  /* If the count is not a multiple of 4, copy remaining samples here.       
-   ** No loop unrolling is used. */
-  k = (srcBLen - 1u) % 0x4u;
-
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner for remaining samples */
-    *pScr1++ = 0;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-#endif
-
-  /* Temporary pointer for scratch2 */
-  py = pScratch2;
-
-
-  /* Initialization of pIn2 pointer */
-  pIn2 = py;
-
-  /* First part of the processing with loop unrolling process 4 data points at a time.       
-   ** a second loop below process for the remaining 1 to 3 samples. */
-
-  /* Actual convolution process starts here */
-  blkCnt = (srcALen + srcBLen - 1u) >> 2;
-
-  while(blkCnt > 0)
-  {
-    /* Initialze temporary scratch pointer as scratch1 */
-    pScr1 = pScratch1;
-
-    /* Clear Accumlators */
-    acc0 = 0;
-    acc1 = 0;
-    acc2 = 0;
-    acc3 = 0;
-
-    /* Read two samples from scratch1 buffer */
-    x1 = *__SIMD32(pScr1)++;
-
-    /* Read next two samples from scratch1 buffer */
-    x2 = *__SIMD32(pScr1)++;
-
-    tapCnt = (srcBLen) >> 2u;
-
-    while(tapCnt > 0u)
-    {
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-      /* Read four samples from smaller buffer */
-      y1 = _SIMD32_OFFSET(pIn2);
-      y2 = _SIMD32_OFFSET(pIn2 + 2u);
-
-      /* multiply and accumlate */
-      acc0 = __SMLALD(x1, y1, acc0);
-      acc2 = __SMLALD(x2, y1, acc2);
-
-      /* pack input data */
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      /* multiply and accumlate */
-      acc1 = __SMLALDX(x3, y1, acc1);
-
-      /* Read next two samples from scratch1 buffer */
-      x1 = _SIMD32_OFFSET(pScr1);
-
-      /* multiply and accumlate */
-      acc0 = __SMLALD(x2, y2, acc0);
-      acc2 = __SMLALD(x1, y2, acc2);
-
-      /* pack input data */
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x1, x2, 0);
-#else
-      x3 = __PKHBT(x2, x1, 0);
-#endif
-
-      acc3 = __SMLALDX(x3, y1, acc3);
-      acc1 = __SMLALDX(x3, y2, acc1);
-
-      x2 = _SIMD32_OFFSET(pScr1 + 2u);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      acc3 = __SMLALDX(x3, y2, acc3);
-
-#else	 
-
-      /* Read four samples from smaller buffer */
-	  a = *pIn2;
-	  b = *(pIn2 + 1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      y1 = __PKHBT(a, b, 16);
-#else
-      y1 = __PKHBT(b, a, 16);
-#endif
-	  
-	  a = *(pIn2 + 2);
-	  b = *(pIn2 + 3);
-#ifndef ARM_MATH_BIG_ENDIAN
-      y2 = __PKHBT(a, b, 16);
-#else
-      y2 = __PKHBT(b, a, 16);
-#endif				
-
-      acc0 = __SMLALD(x1, y1, acc0);
-
-      acc2 = __SMLALD(x2, y1, acc2);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      acc1 = __SMLALDX(x3, y1, acc1);
-
-	  a = *pScr1;
-	  b = *(pScr1 + 1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x1 = __PKHBT(a, b, 16);
-#else
-      x1 = __PKHBT(b, a, 16);
-#endif
-
-      acc0 = __SMLALD(x2, y2, acc0);
-
-      acc2 = __SMLALD(x1, y2, acc2);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x1, x2, 0);
-#else
-      x3 = __PKHBT(x2, x1, 0);
-#endif
-
-      acc3 = __SMLALDX(x3, y1, acc3);
-
-      acc1 = __SMLALDX(x3, y2, acc1);
-
-	  a = *(pScr1 + 2);
-	  b = *(pScr1 + 3);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x2 = __PKHBT(a, b, 16);
-#else
-      x2 = __PKHBT(b, a, 16);
-#endif
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      acc3 = __SMLALDX(x3, y2, acc3);
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-      pIn2 += 4u;
-      pScr1 += 4u;
-
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Update scratch pointer for remaining samples of smaller length sequence */
-    pScr1 -= 4u;
-
-    /* apply same above for remaining samples of smaller length sequence */
-    tapCnt = (srcBLen) & 3u;
-
-    while(tapCnt > 0u)
-    {
-
-      /* accumlate the results */
-      acc0 += (*pScr1++ * *pIn2);
-      acc1 += (*pScr1++ * *pIn2);
-      acc2 += (*pScr1++ * *pIn2);
-      acc3 += (*pScr1++ * *pIn2++);
-
-      pScr1 -= 3u;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    blkCnt--;
-
-
-    /* Store the results in the accumulators in the destination buffer. */
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    *__SIMD32(pOut)++ =
-      __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16);
-
-    *__SIMD32(pOut)++ =
-      __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16);
-
-#else
-
-    *__SIMD32(pOut)++ =
-      __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16);
-
-    *__SIMD32(pOut)++ =
-      __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16);
-
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN       */
-
-    /* Initialization of inputB pointer */
-    pIn2 = py;
-
-    pScratch1 += 4u;
-
-  }
-
-
-  blkCnt = (srcALen + srcBLen - 1u) & 0x3;
-
-  /* Calculate convolution for remaining samples of Bigger length sequence */
-  while(blkCnt > 0)
-  {
-    /* Initialze temporary scratch pointer as scratch1 */
-    pScr1 = pScratch1;
-
-    /* Clear Accumlators */
-    acc0 = 0;
-
-    tapCnt = (srcBLen) >> 1u;
-
-    while(tapCnt > 0u)
-    {
-
-      /* Read next two samples from scratch1 buffer */
-      acc0 += (*pScr1++ * *pIn2++);
-      acc0 += (*pScr1++ * *pIn2++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    tapCnt = (srcBLen) & 1u;
-
-    /* apply same above for remaining samples of smaller length sequence */
-    while(tapCnt > 0u)
-    {
-
-      /* accumlate the results */
-      acc0 += (*pScr1++ * *pIn2++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    blkCnt--;
-
-    /* The result is in 2.30 format.  Convert to 1.15 with saturation.       
-     ** Then store the output in the destination buffer. */
-    *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16));
-
-
-    /* Initialization of inputB pointer */
-    pIn2 = py;
-
-    pScratch1 += 1u;
-
-  }
-
-}
-
-
-/**    
- * @} end of Conv group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_opt_q7.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_opt_q7.c
deleted file mode 100644
index 7fe9f55cf..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_opt_q7.c
+++ /dev/null
@@ -1,434 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_conv_opt_q7.c    
-*    
-* Description:	Convolution of Q7 sequences.  
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*  
-* Version 1.0.11 2011/10/18  
-*    Bug Fix in conv, correlation, partial convolution.  
-* 
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-*    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup Conv    
- * @{    
- */
-
-/**    
- * @brief Convolution of Q7 sequences.    
- * @param[in] *pSrcA points to the first input sequence.    
- * @param[in] srcALen length of the first input sequence.    
- * @param[in] *pSrcB points to the second input sequence.    
- * @param[in] srcBLen length of the second input sequence.    
- * @param[out] *pDst points to the location where the output result is written.  Length srcALen+srcBLen-1.    
- * @param[in]  *pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.   
- * @param[in]  *pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).   
- * @return none.    
- *    
- * \par Restrictions    
- *  If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE    
- *	In this case input, output, scratch1 and scratch2 buffers should be aligned by 32-bit     
- *       
- * @details    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * The function is implemented using a 32-bit internal accumulator.    
- * Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result.    
- * The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format.    
- * This approach provides 17 guard bits and there is no risk of overflow as long as max(srcALen, srcBLen)<131072.    
- * The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and then saturated to 1.7 format.    
- *
- */
-
-void arm_conv_opt_q7(
-  q7_t * pSrcA,
-  uint32_t srcALen,
-  q7_t * pSrcB,
-  uint32_t srcBLen,
-  q7_t * pDst,
-  q15_t * pScratch1,
-  q15_t * pScratch2)
-{
-
-  q15_t *pScr2, *pScr1;                          /* Intermediate pointers for scratch pointers */
-  q15_t x4;                                      /* Temporary input variable */
-  q7_t *pIn1, *pIn2;                             /* inputA and inputB pointer */
-  uint32_t j, k, blkCnt, tapCnt;                 /* loop counter */
-  q7_t *px;                                      /* Temporary input1 pointer */
-  q15_t *py;                                     /* Temporary input2 pointer */
-  q31_t acc0, acc1, acc2, acc3;                  /* Accumulator */
-  q31_t x1, x2, x3, y1;                          /* Temporary input variables */
-  q7_t *pOut = pDst;                             /* output pointer */
-  q7_t out0, out1, out2, out3;                   /* temporary variables */
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcA;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcB;
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcB;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcA;
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-  }
-
-  /* pointer to take end of scratch2 buffer */
-  pScr2 = pScratch2;
-
-  /* points to smaller length sequence */
-  px = pIn2 + srcBLen - 1;
-
-  /* Apply loop unrolling and do 4 Copies simultaneously. */
-  k = srcBLen >> 2u;
-
-  /* First part of the processing with loop unrolling copies 4 data points at a time.       
-   ** a second loop below copies for the remaining 1 to 3 samples. */
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner */
-    x4 = (q15_t) * px--;
-    *pScr2++ = x4;
-    x4 = (q15_t) * px--;
-    *pScr2++ = x4;
-    x4 = (q15_t) * px--;
-    *pScr2++ = x4;
-    x4 = (q15_t) * px--;
-    *pScr2++ = x4;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-  /* If the count is not a multiple of 4, copy remaining samples here.       
-   ** No loop unrolling is used. */
-  k = srcBLen % 0x4u;
-
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner for remaining samples */
-    x4 = (q15_t) * px--;
-    *pScr2++ = x4;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-  /* Initialze temporary scratch pointer */
-  pScr1 = pScratch1;
-
-  /* Fill (srcBLen - 1u) zeros in scratch buffer */
-  arm_fill_q15(0, pScr1, (srcBLen - 1u));
-
-  /* Update temporary scratch pointer */
-  pScr1 += (srcBLen - 1u);
-
-  /* Copy (srcALen) samples in scratch buffer */
-  /* Apply loop unrolling and do 4 Copies simultaneously. */
-  k = srcALen >> 2u;
-
-  /* First part of the processing with loop unrolling copies 4 data points at a time.       
-   ** a second loop below copies for the remaining 1 to 3 samples. */
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner */
-    x4 = (q15_t) * pIn1++;
-    *pScr1++ = x4;
-    x4 = (q15_t) * pIn1++;
-    *pScr1++ = x4;
-    x4 = (q15_t) * pIn1++;
-    *pScr1++ = x4;
-    x4 = (q15_t) * pIn1++;
-    *pScr1++ = x4;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-  /* If the count is not a multiple of 4, copy remaining samples here.       
-   ** No loop unrolling is used. */
-  k = srcALen % 0x4u;
-
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner for remaining samples */
-    x4 = (q15_t) * pIn1++;
-    *pScr1++ = x4;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-  /* Fill (srcBLen - 1u) zeros at end of scratch buffer */
-  arm_fill_q15(0, pScr1, (srcBLen - 1u));
-
-  /* Update pointer */
-  pScr1 += (srcBLen - 1u);
-
-#else
-
-  /* Apply loop unrolling and do 4 Copies simultaneously. */
-  k = (srcBLen - 1u) >> 2u;
-
-  /* First part of the processing with loop unrolling copies 4 data points at a time.       
-   ** a second loop below copies for the remaining 1 to 3 samples. */
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner */
-    *pScr1++ = 0;
-    *pScr1++ = 0;
-    *pScr1++ = 0;
-    *pScr1++ = 0;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-  /* If the count is not a multiple of 4, copy remaining samples here.       
-   ** No loop unrolling is used. */
-  k = (srcBLen - 1u) % 0x4u;
-
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner for remaining samples */
-    *pScr1++ = 0;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-#endif
-
-  /* Temporary pointer for scratch2 */
-  py = pScratch2;
-
-  /* Initialization of pIn2 pointer */
-  pIn2 = (q7_t *) py;
-
-  pScr2 = py;
-
-  /* Actual convolution process starts here */
-  blkCnt = (srcALen + srcBLen - 1u) >> 2;
-
-  while(blkCnt > 0)
-  {
-    /* Initialze temporary scratch pointer as scratch1 */
-    pScr1 = pScratch1;
-
-    /* Clear Accumlators */
-    acc0 = 0;
-    acc1 = 0;
-    acc2 = 0;
-    acc3 = 0;
-
-    /* Read two samples from scratch1 buffer */
-    x1 = *__SIMD32(pScr1)++;
-
-    /* Read next two samples from scratch1 buffer */
-    x2 = *__SIMD32(pScr1)++;
-
-    tapCnt = (srcBLen) >> 2u;
-
-    while(tapCnt > 0u)
-    {
-
-      /* Read four samples from smaller buffer */
-      y1 = _SIMD32_OFFSET(pScr2);
-
-      /* multiply and accumlate */
-      acc0 = __SMLAD(x1, y1, acc0);
-      acc2 = __SMLAD(x2, y1, acc2);
-
-      /* pack input data */
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      /* multiply and accumlate */
-      acc1 = __SMLADX(x3, y1, acc1);
-
-      /* Read next two samples from scratch1 buffer */
-      x1 = *__SIMD32(pScr1)++;
-
-      /* pack input data */
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x1, x2, 0);
-#else
-      x3 = __PKHBT(x2, x1, 0);
-#endif
-
-      acc3 = __SMLADX(x3, y1, acc3);
-
-      /* Read four samples from smaller buffer */
-      y1 = _SIMD32_OFFSET(pScr2 + 2u);
-
-      acc0 = __SMLAD(x2, y1, acc0);
-
-      acc2 = __SMLAD(x1, y1, acc2);
-
-      acc1 = __SMLADX(x3, y1, acc1);
-
-      x2 = *__SIMD32(pScr1)++;
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      acc3 = __SMLADX(x3, y1, acc3);
-
-      pScr2 += 4u;
-
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-
-
-    /* Update scratch pointer for remaining samples of smaller length sequence */
-    pScr1 -= 4u;
-
-
-    /* apply same above for remaining samples of smaller length sequence */
-    tapCnt = (srcBLen) & 3u;
-
-    while(tapCnt > 0u)
-    {
-
-      /* accumlate the results */
-      acc0 += (*pScr1++ * *pScr2);
-      acc1 += (*pScr1++ * *pScr2);
-      acc2 += (*pScr1++ * *pScr2);
-      acc3 += (*pScr1++ * *pScr2++);
-
-      pScr1 -= 3u;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    blkCnt--;
-
-    /* Store the result in the accumulator in the destination buffer. */
-    out0 = (q7_t) (__SSAT(acc0 >> 7u, 8));
-    out1 = (q7_t) (__SSAT(acc1 >> 7u, 8));
-    out2 = (q7_t) (__SSAT(acc2 >> 7u, 8));
-    out3 = (q7_t) (__SSAT(acc3 >> 7u, 8));
-
-    *__SIMD32(pOut)++ = __PACKq7(out0, out1, out2, out3);
-
-    /* Initialization of inputB pointer */
-    pScr2 = py;
-
-    pScratch1 += 4u;
-
-  }
-
-
-  blkCnt = (srcALen + srcBLen - 1u) & 0x3;
-
-  /* Calculate convolution for remaining samples of Bigger length sequence */
-  while(blkCnt > 0)
-  {
-    /* Initialze temporary scratch pointer as scratch1 */
-    pScr1 = pScratch1;
-
-    /* Clear Accumlators */
-    acc0 = 0;
-
-    tapCnt = (srcBLen) >> 1u;
-
-    while(tapCnt > 0u)
-    {
-      acc0 += (*pScr1++ * *pScr2++);
-      acc0 += (*pScr1++ * *pScr2++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    tapCnt = (srcBLen) & 1u;
-
-    /* apply same above for remaining samples of smaller length sequence */
-    while(tapCnt > 0u)
-    {
-
-      /* accumlate the results */
-      acc0 += (*pScr1++ * *pScr2++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    blkCnt--;
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = (q7_t) (__SSAT(acc0 >> 7u, 8));
-
-    /* Initialization of inputB pointer */
-    pScr2 = py;
-
-    pScratch1 += 1u;
-
-  }
-
-}
-
-
-/**    
- * @} end of Conv group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_f32.c
deleted file mode 100644
index 58f572735..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_f32.c
+++ /dev/null
@@ -1,661 +0,0 @@
-/* ----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_conv_partial_f32.c    
-*    
-* Description:	Partial convolution of floating-point sequences.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-* 
-* Version 1.0.11 2011/10/18  
-*    Bug Fix in conv, correlation, partial convolution.  
-* 
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-*    
-* -------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @defgroup PartialConv Partial Convolution    
- *    
- * Partial Convolution is equivalent to Convolution except that a subset of the output samples is generated.    
- * Each function has two additional arguments.    
- * firstIndex specifies the starting index of the subset of output samples.    
- * numPoints is the number of output samples to compute.    
- * The function computes the output in the range    
- * [firstIndex, ..., firstIndex+numPoints-1].    
- * The output array pDst contains numPoints values.    
- *    
- * The allowable range of output indices is [0 srcALen+srcBLen-2].    
- * If the requested subset does not fall in this range then the functions return ARM_MATH_ARGUMENT_ERROR.    
- * Otherwise the functions return ARM_MATH_SUCCESS.    
- * \note Refer arm_conv_f32() for details on fixed point behavior.   
- *
- * 
- * Fast Versions
- *
- * \par 
- * Fast versions are supported for Q31 and Q15 of partial convolution.  Cycles for Fast versions are less compared to Q31 and Q15 of partial conv and the design requires
- * the input signals should be scaled down to avoid intermediate overflows.   
- *
- *
- * Opt Versions
- *
- * \par 
- * Opt versions are supported for Q15 and Q7.  Design uses internal scratch buffer for getting good optimisation.
- * These versions are optimised in cycles and consumes more memory(Scratch memory) compared to Q15 and Q7 versions of partial convolution
- */
-
-/**    
- * @addtogroup PartialConv    
- * @{    
- */
-
-/**    
- * @brief Partial convolution of floating-point sequences.    
- * @param[in]       *pSrcA points to the first input sequence.    
- * @param[in]       srcALen length of the first input sequence.    
- * @param[in]       *pSrcB points to the second input sequence.    
- * @param[in]       srcBLen length of the second input sequence.    
- * @param[out]      *pDst points to the location where the output result is written.    
- * @param[in]       firstIndex is the first output sample to start with.    
- * @param[in]       numPoints is the number of output points to be computed.    
- * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].    
- */
-
-arm_status arm_conv_partial_f32(
-  float32_t * pSrcA,
-  uint32_t srcALen,
-  float32_t * pSrcB,
-  uint32_t srcBLen,
-  float32_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints)
-{
-
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  float32_t *pIn1 = pSrcA;                       /* inputA pointer */
-  float32_t *pIn2 = pSrcB;                       /* inputB pointer */
-  float32_t *pOut = pDst;                        /* output pointer */
-  float32_t *px;                                 /* Intermediate inputA pointer */
-  float32_t *py;                                 /* Intermediate inputB pointer */
-  float32_t *pSrc1, *pSrc2;                      /* Intermediate pointers */
-  float32_t sum, acc0, acc1, acc2, acc3;         /* Accumulator */
-  float32_t x0, x1, x2, x3, c0;                  /* Temporary variables to hold state and coefficient values */
-  uint32_t j, k, count = 0u, blkCnt, check;
-  int32_t blockSize1, blockSize2, blockSize3;    /* loop counters */
-  arm_status status;                             /* status of Partial convolution */
-
-
-  /* Check for range of output samples to be calculated */
-  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
-  {
-    /* Set status as ARM_MATH_ARGUMENT_ERROR */
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-  else
-  {
-
-    /* The algorithm implementation is based on the lengths of the inputs. */
-    /* srcB is always made to slide across srcA. */
-    /* So srcBLen is always considered as shorter or equal to srcALen */
-    if(srcALen >= srcBLen)
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcA;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcB;
-    }
-    else
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcB;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcA;
-
-      /* srcBLen is always considered as shorter or equal to srcALen */
-      j = srcBLen;
-      srcBLen = srcALen;
-      srcALen = j;
-    }
-
-    /* Conditions to check which loopCounter holds    
-     * the first and last indices of the output samples to be calculated. */
-    check = firstIndex + numPoints;
-    blockSize3 = (int32_t) check - (int32_t) srcALen;
-    blockSize3 = (blockSize3 > 0) ? blockSize3 : 0;
-    blockSize1 = ((int32_t) srcBLen - 1) - (int32_t) firstIndex;
-    blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1u)) ? blockSize1 :
-                                     (int32_t) numPoints) : 0;
-    blockSize2 = ((int32_t) check - blockSize3) -
-      (blockSize1 + (int32_t) firstIndex);
-    blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
-
-    /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
-    /* The function is internally    
-     * divided into three stages according to the number of multiplications that has to be    
-     * taken place between inputA samples and inputB samples. In the first stage of the    
-     * algorithm, the multiplications increase by one for every iteration.    
-     * In the second stage of the algorithm, srcBLen number of multiplications are done.    
-     * In the third stage of the algorithm, the multiplications decrease by one    
-     * for every iteration. */
-
-    /* Set the output pointer to point to the firstIndex    
-     * of the output sample to be calculated. */
-    pOut = pDst + firstIndex;
-
-    /* --------------------------    
-     * Initializations of stage1    
-     * -------------------------*/
-
-    /* sum = x[0] * y[0]    
-     * sum = x[0] * y[1] + x[1] * y[0]    
-     * ....    
-     * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]    
-     */
-
-    /* In this stage the MAC operations are increased by 1 for every iteration.    
-       The count variable holds the number of MAC operations performed.    
-       Since the partial convolution starts from from firstIndex    
-       Number of Macs to be performed is firstIndex + 1 */
-    count = 1u + firstIndex;
-
-    /* Working pointer of inputA */
-    px = pIn1;
-
-    /* Working pointer of inputB */
-    pSrc1 = pIn2 + firstIndex;
-    py = pSrc1;
-
-    /* ------------------------    
-     * Stage1 process    
-     * ----------------------*/
-
-    /* The first stage starts here */
-    while(blockSize1 > 0)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0.0f;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = count >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* x[0] * y[srcBLen - 1] */
-        sum += *px++ * *py--;
-
-        /* x[1] * y[srcBLen - 2] */
-        sum += *px++ * *py--;
-
-        /* x[2] * y[srcBLen - 3] */
-        sum += *px++ * *py--;
-
-        /* x[3] * y[srcBLen - 4] */
-        sum += *px++ * *py--;
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the count is not a multiple of 4, compute any remaining MACs here.    
-       ** No loop unrolling is used. */
-      k = count % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += *px++ * *py--;
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = sum;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      py = ++pSrc1;
-      px = pIn1;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Decrement the loop counter */
-      blockSize1--;
-    }
-
-    /* --------------------------    
-     * Initializations of stage2    
-     * ------------------------*/
-
-    /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]    
-     * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]    
-     * ....    
-     * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]    
-     */
-
-    /* Working pointer of inputA */
-    px = pIn1;
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + (srcBLen - 1u);
-    py = pSrc2;
-
-    /* count is index by which the pointer pIn1 to be incremented */
-    count = 0u;
-
-    /* -------------------    
-     * Stage2 process    
-     * ------------------*/
-
-    /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.    
-     * So, to loop unroll over blockSize2,    
-     * srcBLen should be greater than or equal to 4 */
-    if(srcBLen >= 4u)
-    {
-      /* Loop unroll over blockSize2, by 4 */
-      blkCnt = ((uint32_t) blockSize2 >> 2u);
-
-      while(blkCnt > 0u)
-      {
-        /* Set all accumulators to zero */
-        acc0 = 0.0f;
-        acc1 = 0.0f;
-        acc2 = 0.0f;
-        acc3 = 0.0f;
-
-        /* read x[0], x[1], x[2] samples */
-        x0 = *(px++);
-        x1 = *(px++);
-        x2 = *(px++);
-
-        /* Apply loop unrolling and compute 4 MACs simultaneously. */
-        k = srcBLen >> 2u;
-
-        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-         ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-        do
-        {
-          /* Read y[srcBLen - 1] sample */
-          c0 = *(py--);
-
-          /* Read x[3] sample */
-          x3 = *(px++);
-
-          /* Perform the multiply-accumulate */
-          /* acc0 +=  x[0] * y[srcBLen - 1] */
-          acc0 += x0 * c0;
-
-          /* acc1 +=  x[1] * y[srcBLen - 1] */
-          acc1 += x1 * c0;
-
-          /* acc2 +=  x[2] * y[srcBLen - 1] */
-          acc2 += x2 * c0;
-
-          /* acc3 +=  x[3] * y[srcBLen - 1] */
-          acc3 += x3 * c0;
-
-          /* Read y[srcBLen - 2] sample */
-          c0 = *(py--);
-
-          /* Read x[4] sample */
-          x0 = *(px++);
-
-          /* Perform the multiply-accumulate */
-          /* acc0 +=  x[1] * y[srcBLen - 2] */
-          acc0 += x1 * c0;
-          /* acc1 +=  x[2] * y[srcBLen - 2] */
-          acc1 += x2 * c0;
-          /* acc2 +=  x[3] * y[srcBLen - 2] */
-          acc2 += x3 * c0;
-          /* acc3 +=  x[4] * y[srcBLen - 2] */
-          acc3 += x0 * c0;
-
-          /* Read y[srcBLen - 3] sample */
-          c0 = *(py--);
-
-          /* Read x[5] sample */
-          x1 = *(px++);
-
-          /* Perform the multiply-accumulates */
-          /* acc0 +=  x[2] * y[srcBLen - 3] */
-          acc0 += x2 * c0;
-          /* acc1 +=  x[3] * y[srcBLen - 2] */
-          acc1 += x3 * c0;
-          /* acc2 +=  x[4] * y[srcBLen - 2] */
-          acc2 += x0 * c0;
-          /* acc3 +=  x[5] * y[srcBLen - 2] */
-          acc3 += x1 * c0;
-
-          /* Read y[srcBLen - 4] sample */
-          c0 = *(py--);
-
-          /* Read x[6] sample */
-          x2 = *(px++);
-
-          /* Perform the multiply-accumulates */
-          /* acc0 +=  x[3] * y[srcBLen - 4] */
-          acc0 += x3 * c0;
-          /* acc1 +=  x[4] * y[srcBLen - 4] */
-          acc1 += x0 * c0;
-          /* acc2 +=  x[5] * y[srcBLen - 4] */
-          acc2 += x1 * c0;
-          /* acc3 +=  x[6] * y[srcBLen - 4] */
-          acc3 += x2 * c0;
-
-
-        } while(--k);
-
-        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
-         ** No loop unrolling is used. */
-        k = srcBLen % 0x4u;
-
-        while(k > 0u)
-        {
-          /* Read y[srcBLen - 5] sample */
-          c0 = *(py--);
-
-          /* Read x[7] sample */
-          x3 = *(px++);
-
-          /* Perform the multiply-accumulates */
-          /* acc0 +=  x[4] * y[srcBLen - 5] */
-          acc0 += x0 * c0;
-          /* acc1 +=  x[5] * y[srcBLen - 5] */
-          acc1 += x1 * c0;
-          /* acc2 +=  x[6] * y[srcBLen - 5] */
-          acc2 += x2 * c0;
-          /* acc3 +=  x[7] * y[srcBLen - 5] */
-          acc3 += x3 * c0;
-
-          /* Reuse the present samples for the next MAC */
-          x0 = x1;
-          x1 = x2;
-          x2 = x3;
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* Store the result in the accumulator in the destination buffer. */
-        *pOut++ = acc0;
-        *pOut++ = acc1;
-        *pOut++ = acc2;
-        *pOut++ = acc3;
-
-        /* Increment the pointer pIn1 index, count by 1 */
-        count += 4u;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-        px = pIn1 + count;
-        py = pSrc2;
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-
-      /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.    
-       ** No loop unrolling is used. */
-      blkCnt = (uint32_t) blockSize2 % 0x4u;
-
-      while(blkCnt > 0u)
-      {
-        /* Accumulator is made zero for every iteration */
-        sum = 0.0f;
-
-        /* Apply loop unrolling and compute 4 MACs simultaneously. */
-        k = srcBLen >> 2u;
-
-        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-         ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulates */
-          sum += *px++ * *py--;
-          sum += *px++ * *py--;
-          sum += *px++ * *py--;
-          sum += *px++ * *py--;
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
-         ** No loop unrolling is used. */
-        k = srcBLen % 0x4u;
-
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulate */
-          sum += *px++ * *py--;
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* Store the result in the accumulator in the destination buffer. */
-        *pOut++ = sum;
-
-        /* Increment the MAC count */
-        count++;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-        px = pIn1 + count;
-        py = pSrc2;
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-    }
-    else
-    {
-      /* If the srcBLen is not a multiple of 4,    
-       * the blockSize2 loop cannot be unrolled by 4 */
-      blkCnt = (uint32_t) blockSize2;
-
-      while(blkCnt > 0u)
-      {
-        /* Accumulator is made zero for every iteration */
-        sum = 0.0f;
-
-        /* srcBLen number of MACS should be performed */
-        k = srcBLen;
-
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulate */
-          sum += *px++ * *py--;
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* Store the result in the accumulator in the destination buffer. */
-        *pOut++ = sum;
-
-        /* Increment the MAC count */
-        count++;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-        px = pIn1 + count;
-        py = pSrc2;
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-    }
-
-
-    /* --------------------------    
-     * Initializations of stage3    
-     * -------------------------*/
-
-    /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]    
-     * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]    
-     * ....    
-     * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]    
-     * sum +=  x[srcALen-1] * y[srcBLen-1]    
-     */
-
-    /* In this stage the MAC operations are decreased by 1 for every iteration.    
-       The count variable holds the number of MAC operations performed */
-    count = srcBLen - 1u;
-
-    /* Working pointer of inputA */
-    pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
-    px = pSrc1;
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + (srcBLen - 1u);
-    py = pSrc2;
-
-    while(blockSize3 > 0)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0.0f;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = count >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
-        sum += *px++ * *py--;
-
-        /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
-        sum += *px++ * *py--;
-
-        /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
-        sum += *px++ * *py--;
-
-        /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
-        sum += *px++ * *py--;
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the count is not a multiple of 4, compute any remaining MACs here.    
-       ** No loop unrolling is used. */
-      k = count % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        /* sum +=  x[srcALen-1] * y[srcBLen-1] */
-        sum += *px++ * *py--;
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = sum;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = ++pSrc1;
-      py = pSrc2;
-
-      /* Decrement the MAC count */
-      count--;
-
-      /* Decrement the loop counter */
-      blockSize3--;
-
-    }
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  float32_t *pIn1 = pSrcA;                       /* inputA pointer */
-  float32_t *pIn2 = pSrcB;                       /* inputB pointer */
-  float32_t sum;                                 /* Accumulator */
-  uint32_t i, j;                                 /* loop counters */
-  arm_status status;                             /* status of Partial convolution */
-
-  /* Check for range of output samples to be calculated */
-  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
-  {
-    /* Set status as ARM_ARGUMENT_ERROR */
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-  else
-  {
-    /* Loop to calculate convolution for output length number of values */
-    for (i = firstIndex; i <= (firstIndex + numPoints - 1); i++)
-    {
-      /* Initialize sum with zero to carry on MAC operations */
-      sum = 0.0f;
-
-      /* Loop to perform MAC operations according to convolution equation */
-      for (j = 0u; j <= i; j++)
-      {
-        /* Check the array limitations for inputs */
-        if((((i - j) < srcBLen) && (j < srcALen)))
-        {
-          /* z[i] += x[i-j] * y[j] */
-          sum += pIn1[j] * pIn2[i - j];
-        }
-      }
-      /* Store the output in the destination buffer */
-      pDst[i] = sum;
-    }
-    /* set status as ARM_SUCCESS as there are no argument errors */
-    status = ARM_MATH_SUCCESS;
-  }
-  return (status);
-
-#endif /*   #ifndef ARM_MATH_CM0 */
-
-}
-
-/**    
- * @} end of PartialConv group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_fast_opt_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_fast_opt_q15.c
deleted file mode 100644
index 25b3ba8c3..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_fast_opt_q15.c
+++ /dev/null
@@ -1,763 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_conv_partial_fast_opt_q15.c    
-*    
-* Description:	Fast Q15 Partial convolution.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-* 
-* Version 1.0.11 2011/10/18  
-*    Bug Fix in conv, correlation, partial convolution.  
-* 
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup PartialConv    
- * @{    
- */
-
-/**    
- * @brief Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.    
- * @param[in]       *pSrcA points to the first input sequence.    
- * @param[in]       srcALen length of the first input sequence.    
- * @param[in]       *pSrcB points to the second input sequence.    
- * @param[in]       srcBLen length of the second input sequence.    
- * @param[out]      *pDst points to the location where the output result is written.    
- * @param[in]       firstIndex is the first output sample to start with.    
- * @param[in]       numPoints is the number of output points to be computed.    
- * @param[in]       *pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.   
- * @param[in]       *pScratch2 points to scratch buffer of size min(srcALen, srcBLen).   
- * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].    
- *    
- * See arm_conv_partial_q15() for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion.    
- *    
- * \par Restrictions    
- *  If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE    
- *	In this case input, output, scratch1 and scratch2 buffers should be aligned by 32-bit    
- *     
- */
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-arm_status arm_conv_partial_fast_opt_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints,
-  q15_t * pScratch1,
-  q15_t * pScratch2)
-{
-
-  q15_t *pOut = pDst;                            /* output pointer */
-  q15_t *pScr1 = pScratch1;                      /* Temporary pointer for scratch1 */
-  q15_t *pScr2 = pScratch2;                      /* Temporary pointer for scratch1 */
-  q31_t acc0, acc1, acc2, acc3;                  /* Accumulator */
-  q31_t x1, x2, x3;                              /* Temporary variables to hold state and coefficient values */
-  q31_t y1, y2;                                  /* State variables */
-  q15_t *pIn1;                                   /* inputA pointer */
-  q15_t *pIn2;                                   /* inputB pointer */
-  q15_t *px;                                     /* Intermediate inputA pointer  */
-  q15_t *py;                                     /* Intermediate inputB pointer  */
-  uint32_t j, k, blkCnt;                         /* loop counter */
-  arm_status status;
-
-  uint32_t tapCnt;                               /* loop count */
-
-  /* Check for range of output samples to be calculated */
-  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
-  {
-    /* Set status as ARM_MATH_ARGUMENT_ERROR */
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-  else
-  {
-
-    /* The algorithm implementation is based on the lengths of the inputs. */
-    /* srcB is always made to slide across srcA. */
-    /* So srcBLen is always considered as shorter or equal to srcALen */
-    if(srcALen >= srcBLen)
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcA;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcB;
-    }
-    else
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcB;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcA;
-
-      /* srcBLen is always considered as shorter or equal to srcALen */
-      j = srcBLen;
-      srcBLen = srcALen;
-      srcALen = j;
-    }
-
-    /* Temporary pointer for scratch2 */
-    py = pScratch2;
-
-    /* pointer to take end of scratch2 buffer */
-    pScr2 = pScratch2 + srcBLen - 1;
-
-    /* points to smaller length sequence */
-    px = pIn2;
-
-    /* Apply loop unrolling and do 4 Copies simultaneously. */
-    k = srcBLen >> 2u;
-
-    /* First part of the processing with loop unrolling copies 4 data points at a time.       
-     ** a second loop below copies for the remaining 1 to 3 samples. */
-
-    /* Copy smaller length input sequence in reverse order into second scratch buffer */
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner */
-      *pScr2-- = *px++;
-      *pScr2-- = *px++;
-      *pScr2-- = *px++;
-      *pScr2-- = *px++;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, copy remaining samples here.       
-     ** No loop unrolling is used. */
-    k = srcBLen % 0x4u;
-
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner for remaining samples */
-      *pScr2-- = *px++;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Initialze temporary scratch pointer */
-    pScr1 = pScratch1;
-
-    /* Assuming scratch1 buffer is aligned by 32-bit */
-    /* Fill (srcBLen - 1u) zeros in scratch buffer */
-    arm_fill_q15(0, pScr1, (srcBLen - 1u));
-
-    /* Update temporary scratch pointer */
-    pScr1 += (srcBLen - 1u);
-
-    /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */
-
-    /* Copy (srcALen) samples in scratch buffer */
-    arm_copy_q15(pIn1, pScr1, srcALen);
-
-    /* Update pointers */
-    pScr1 += srcALen;
-
-    /* Fill (srcBLen - 1u) zeros at end of scratch buffer */
-    arm_fill_q15(0, pScr1, (srcBLen - 1u));
-
-    /* Update pointer */
-    pScr1 += (srcBLen - 1u);
-
-    /* Initialization of pIn2 pointer */
-    pIn2 = py;
-
-    pScratch1 += firstIndex;
-
-    pOut = pDst + firstIndex;
-
-    /* First part of the processing with loop unrolling process 4 data points at a time.       
-     ** a second loop below process for the remaining 1 to 3 samples. */
-
-    /* Actual convolution process starts here */
-    blkCnt = (numPoints) >> 2;
-
-    while(blkCnt > 0)
-    {
-      /* Initialze temporary scratch pointer as scratch1 */
-      pScr1 = pScratch1;
-
-      /* Clear Accumlators */
-      acc0 = 0;
-      acc1 = 0;
-      acc2 = 0;
-      acc3 = 0;
-
-      /* Read two samples from scratch1 buffer */
-      x1 = *__SIMD32(pScr1)++;
-
-      /* Read next two samples from scratch1 buffer */
-      x2 = *__SIMD32(pScr1)++;
-
-      tapCnt = (srcBLen) >> 2u;
-
-      while(tapCnt > 0u)
-      {
-
-        /* Read four samples from smaller buffer */
-        y1 = _SIMD32_OFFSET(pIn2);
-        y2 = _SIMD32_OFFSET(pIn2 + 2u);
-
-        /* multiply and accumlate */
-        acc0 = __SMLAD(x1, y1, acc0);
-        acc2 = __SMLAD(x2, y1, acc2);
-
-        /* pack input data */
-#ifndef ARM_MATH_BIG_ENDIAN
-        x3 = __PKHBT(x2, x1, 0);
-#else
-        x3 = __PKHBT(x1, x2, 0);
-#endif
-
-        /* multiply and accumlate */
-        acc1 = __SMLADX(x3, y1, acc1);
-
-        /* Read next two samples from scratch1 buffer */
-        x1 = _SIMD32_OFFSET(pScr1);
-
-        /* multiply and accumlate */
-        acc0 = __SMLAD(x2, y2, acc0);
-
-        acc2 = __SMLAD(x1, y2, acc2);
-
-        /* pack input data */
-#ifndef ARM_MATH_BIG_ENDIAN
-        x3 = __PKHBT(x1, x2, 0);
-#else
-        x3 = __PKHBT(x2, x1, 0);
-#endif
-
-        acc3 = __SMLADX(x3, y1, acc3);
-        acc1 = __SMLADX(x3, y2, acc1);
-
-        x2 = _SIMD32_OFFSET(pScr1 + 2u);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-        x3 = __PKHBT(x2, x1, 0);
-#else
-        x3 = __PKHBT(x1, x2, 0);
-#endif
-
-        acc3 = __SMLADX(x3, y2, acc3);
-
-        /* update scratch pointers */
-        pIn2 += 4u;
-        pScr1 += 4u;
-
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      /* Update scratch pointer for remaining samples of smaller length sequence */
-      pScr1 -= 4u;
-
-      /* apply same above for remaining samples of smaller length sequence */
-      tapCnt = (srcBLen) & 3u;
-
-      while(tapCnt > 0u)
-      {
-
-        /* accumlate the results */
-        acc0 += (*pScr1++ * *pIn2);
-        acc1 += (*pScr1++ * *pIn2);
-        acc2 += (*pScr1++ * *pIn2);
-        acc3 += (*pScr1++ * *pIn2++);
-
-        pScr1 -= 3u;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      blkCnt--;
-
-
-      /* Store the results in the accumulators in the destination buffer. */
-
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-      *__SIMD32(pOut)++ =
-        __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16);
-      *__SIMD32(pOut)++ =
-        __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16);
-
-#else
-
-      *__SIMD32(pOut)++ =
-        __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16);
-      *__SIMD32(pOut)++ =
-        __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16);
-
-#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-      /* Initialization of inputB pointer */
-      pIn2 = py;
-
-      pScratch1 += 4u;
-
-    }
-
-
-    blkCnt = numPoints & 0x3;
-
-    /* Calculate convolution for remaining samples of Bigger length sequence */
-    while(blkCnt > 0)
-    {
-      /* Initialze temporary scratch pointer as scratch1 */
-      pScr1 = pScratch1;
-
-      /* Clear Accumlators */
-      acc0 = 0;
-
-      tapCnt = (srcBLen) >> 1u;
-
-      while(tapCnt > 0u)
-      {
-
-        /* Read next two samples from scratch1 buffer */
-        x1 = *__SIMD32(pScr1)++;
-
-        /* Read two samples from smaller buffer */
-        y1 = *__SIMD32(pIn2)++;
-
-        acc0 = __SMLAD(x1, y1, acc0);
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      tapCnt = (srcBLen) & 1u;
-
-      /* apply same above for remaining samples of smaller length sequence */
-      while(tapCnt > 0u)
-      {
-
-        /* accumlate the results */
-        acc0 += (*pScr1++ * *pIn2++);
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      blkCnt--;
-
-      /* The result is in 2.30 format.  Convert to 1.15 with saturation.       
-       ** Then store the output in the destination buffer. */
-      *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16));
-
-      /* Initialization of inputB pointer */
-      pIn2 = py;
-
-      pScratch1 += 1u;
-
-    }
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-  /* Return to application */
-  return (status);
-}
-
-#else
-
-arm_status arm_conv_partial_fast_opt_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints,
-  q15_t * pScratch1,
-  q15_t * pScratch2)
-{
-
-  q15_t *pOut = pDst;                            /* output pointer */
-  q15_t *pScr1 = pScratch1;                      /* Temporary pointer for scratch1 */
-  q15_t *pScr2 = pScratch2;                      /* Temporary pointer for scratch1 */
-  q31_t acc0, acc1, acc2, acc3;                  /* Accumulator */
-  q15_t *pIn1;                                   /* inputA pointer */
-  q15_t *pIn2;                                   /* inputB pointer */
-  q15_t *px;                                     /* Intermediate inputA pointer  */
-  q15_t *py;                                     /* Intermediate inputB pointer  */
-  uint32_t j, k, blkCnt;                         /* loop counter */
-  arm_status status;                             /* Status variable */
-  uint32_t tapCnt;                               /* loop count */
-  q15_t x10, x11, x20, x21;                      /* Temporary variables to hold srcA buffer */
-  q15_t y10, y11;                                /* Temporary variables to hold srcB buffer */
-
-
-  /* Check for range of output samples to be calculated */
-  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
-  {
-    /* Set status as ARM_MATH_ARGUMENT_ERROR */
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-  else
-  {
-
-    /* The algorithm implementation is based on the lengths of the inputs. */
-    /* srcB is always made to slide across srcA. */
-    /* So srcBLen is always considered as shorter or equal to srcALen */
-    if(srcALen >= srcBLen)
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcA;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcB;
-    }
-    else
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcB;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcA;
-
-      /* srcBLen is always considered as shorter or equal to srcALen */
-      j = srcBLen;
-      srcBLen = srcALen;
-      srcALen = j;
-    }
-
-    /* Temporary pointer for scratch2 */
-    py = pScratch2;
-
-    /* pointer to take end of scratch2 buffer */
-    pScr2 = pScratch2 + srcBLen - 1;
-
-    /* points to smaller length sequence */
-    px = pIn2;
-
-    /* Apply loop unrolling and do 4 Copies simultaneously. */
-    k = srcBLen >> 2u;
-
-    /* First part of the processing with loop unrolling copies 4 data points at a time.       
-     ** a second loop below copies for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner */
-      *pScr2-- = *px++;
-      *pScr2-- = *px++;
-      *pScr2-- = *px++;
-      *pScr2-- = *px++;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, copy remaining samples here.       
-     ** No loop unrolling is used. */
-    k = srcBLen % 0x4u;
-
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner for remaining samples */
-      *pScr2-- = *px++;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Initialze temporary scratch pointer */
-    pScr1 = pScratch1;
-
-    /* Fill (srcBLen - 1u) zeros in scratch buffer */
-    arm_fill_q15(0, pScr1, (srcBLen - 1u));
-
-    /* Update temporary scratch pointer */
-    pScr1 += (srcBLen - 1u);
-
-    /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */
-
-
-    /* Apply loop unrolling and do 4 Copies simultaneously. */
-    k = srcALen >> 2u;
-
-    /* First part of the processing with loop unrolling copies 4 data points at a time.       
-     ** a second loop below copies for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner */
-      *pScr1++ = *pIn1++;
-      *pScr1++ = *pIn1++;
-      *pScr1++ = *pIn1++;
-      *pScr1++ = *pIn1++;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, copy remaining samples here.       
-     ** No loop unrolling is used. */
-    k = srcALen % 0x4u;
-
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner for remaining samples */
-      *pScr1++ = *pIn1++;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-
-    /* Apply loop unrolling and do 4 Copies simultaneously. */
-    k = (srcBLen - 1u) >> 2u;
-
-    /* First part of the processing with loop unrolling copies 4 data points at a time.       
-     ** a second loop below copies for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner */
-      *pScr1++ = 0;
-      *pScr1++ = 0;
-      *pScr1++ = 0;
-      *pScr1++ = 0;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, copy remaining samples here.       
-     ** No loop unrolling is used. */
-    k = (srcBLen - 1u) % 0x4u;
-
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner for remaining samples */
-      *pScr1++ = 0;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-
-    /* Initialization of pIn2 pointer */
-    pIn2 = py;
-
-    pScratch1 += firstIndex;
-
-    pOut = pDst + firstIndex;
-
-    /* Actual convolution process starts here */
-    blkCnt = (numPoints) >> 2;
-
-    while(blkCnt > 0)
-    {
-      /* Initialze temporary scratch pointer as scratch1 */
-      pScr1 = pScratch1;
-
-      /* Clear Accumlators */
-      acc0 = 0;
-      acc1 = 0;
-      acc2 = 0;
-      acc3 = 0;
-
-      /* Read two samples from scratch1 buffer */
-      x10 = *pScr1++;
-      x11 = *pScr1++;
-
-      /* Read next two samples from scratch1 buffer */
-      x20 = *pScr1++;
-      x21 = *pScr1++;
-
-      tapCnt = (srcBLen) >> 2u;
-
-      while(tapCnt > 0u)
-      {
-
-        /* Read two samples from smaller buffer */
-        y10 = *pIn2;
-        y11 = *(pIn2 + 1u);
-
-        /* multiply and accumlate */
-        acc0 += (q31_t) x10 *y10;
-        acc0 += (q31_t) x11 *y11;
-        acc2 += (q31_t) x20 *y10;
-        acc2 += (q31_t) x21 *y11;
-
-        /* multiply and accumlate */
-        acc1 += (q31_t) x11 *y10;
-        acc1 += (q31_t) x20 *y11;
-
-        /* Read next two samples from scratch1 buffer */
-        x10 = *pScr1;
-        x11 = *(pScr1 + 1u);
-
-        /* multiply and accumlate */
-        acc3 += (q31_t) x21 *y10;
-        acc3 += (q31_t) x10 *y11;
-
-        /* Read next two samples from scratch2 buffer */
-        y10 = *(pIn2 + 2u);
-        y11 = *(pIn2 + 3u);
-
-        /* multiply and accumlate */
-        acc0 += (q31_t) x20 *y10;
-        acc0 += (q31_t) x21 *y11;
-        acc2 += (q31_t) x10 *y10;
-        acc2 += (q31_t) x11 *y11;
-        acc1 += (q31_t) x21 *y10;
-        acc1 += (q31_t) x10 *y11;
-
-        /* Read next two samples from scratch1 buffer */
-        x20 = *(pScr1 + 2);
-        x21 = *(pScr1 + 3);
-
-        /* multiply and accumlate */
-        acc3 += (q31_t) x11 *y10;
-        acc3 += (q31_t) x20 *y11;
-
-        /* update scratch pointers */
-        pIn2 += 4u;
-        pScr1 += 4u;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      /* Update scratch pointer for remaining samples of smaller length sequence */
-      pScr1 -= 4u;
-
-      /* apply same above for remaining samples of smaller length sequence */
-      tapCnt = (srcBLen) & 3u;
-
-      while(tapCnt > 0u)
-      {
-        /* accumlate the results */
-        acc0 += (*pScr1++ * *pIn2);
-        acc1 += (*pScr1++ * *pIn2);
-        acc2 += (*pScr1++ * *pIn2);
-        acc3 += (*pScr1++ * *pIn2++);
-
-        pScr1 -= 3u;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      blkCnt--;
-
-
-      /* Store the results in the accumulators in the destination buffer. */
-      *pOut++ = __SSAT((acc0 >> 15), 16);
-      *pOut++ = __SSAT((acc1 >> 15), 16);
-      *pOut++ = __SSAT((acc2 >> 15), 16);
-      *pOut++ = __SSAT((acc3 >> 15), 16);
-
-      /* Initialization of inputB pointer */
-      pIn2 = py;
-
-      pScratch1 += 4u;
-
-    }
-
-
-    blkCnt = numPoints & 0x3;
-
-    /* Calculate convolution for remaining samples of Bigger length sequence */
-    while(blkCnt > 0)
-    {
-      /* Initialze temporary scratch pointer as scratch1 */
-      pScr1 = pScratch1;
-
-      /* Clear Accumlators */
-      acc0 = 0;
-
-      tapCnt = (srcBLen) >> 1u;
-
-      while(tapCnt > 0u)
-      {
-
-        /* Read next two samples from scratch1 buffer */
-        x10 = *pScr1++;
-        x11 = *pScr1++;
-
-        /* Read two samples from smaller buffer */
-        y10 = *pIn2++;
-        y11 = *pIn2++;
-
-        /* multiply and accumlate */
-        acc0 += (q31_t) x10 *y10;
-        acc0 += (q31_t) x11 *y11;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      tapCnt = (srcBLen) & 1u;
-
-      /* apply same above for remaining samples of smaller length sequence */
-      while(tapCnt > 0u)
-      {
-
-        /* accumlate the results */
-        acc0 += (*pScr1++ * *pIn2++);
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      blkCnt--;
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16));
-
-      /* Initialization of inputB pointer */
-      pIn2 = py;
-
-      pScratch1 += 1u;
-
-    }
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-
-  }
-
-  /* Return to application */
-  return (status);
-}
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-/**    
- * @} end of PartialConv group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_fast_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_fast_q15.c
deleted file mode 100644
index 98216bb6a..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_fast_q15.c
+++ /dev/null
@@ -1,1473 +0,0 @@
-/* ----------------------------------------------------------------------   
-* Copyright (C) 2010 ARM Limited. All rights reserved.   
-*   
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*   
-* Project: 	    CMSIS DSP Library   
-* Title:		arm_conv_partial_fast_q15.c   
-*   
-* Description:	Fast Q15 Partial convolution.   
-*   
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-* 
-* Version 1.0.11 2011/10/18 
-*    Bug Fix in conv, correlation, partial convolution. 
-*
-* Version 1.0.10 2011/7/15 
-*    Big Endian support added and Merged M0 and M3/M4 Source code.  
-*   
-* Version 1.0.3 2010/11/29  
-*    Re-organized the CMSIS folders and updated documentation.   
-*    
-* Version 1.0.2 2010/11/11   
-*    Documentation updated.    
-*   
-* Version 1.0.1 2010/10/05    
-*    Production release and review comments incorporated.   
-*   
-* Version 1.0.0 2010/09/20    
-*    Production release and review comments incorporated.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**   
- * @ingroup groupFilters   
- */
-
-/**   
- * @addtogroup PartialConv   
- * @{   
- */
-
-/**   
- * @brief Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.   
- * @param[in]       *pSrcA points to the first input sequence.   
- * @param[in]       srcALen length of the first input sequence.   
- * @param[in]       *pSrcB points to the second input sequence.   
- * @param[in]       srcBLen length of the second input sequence.   
- * @param[out]      *pDst points to the location where the output result is written.   
- * @param[in]       firstIndex is the first output sample to start with.   
- * @param[in]       numPoints is the number of output points to be computed.   
- * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].   
- *   
- * See arm_conv_partial_q15() for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion.   
- */
-
-
-arm_status arm_conv_partial_fast_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints)
-{
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-  q15_t *pIn1;                                   /* inputA pointer               */
-  q15_t *pIn2;                                   /* inputB pointer               */
-  q15_t *pOut = pDst;                            /* output pointer               */
-  q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulator                  */
-  q15_t *px;                                     /* Intermediate inputA pointer  */
-  q15_t *py;                                     /* Intermediate inputB pointer  */
-  q15_t *pSrc1, *pSrc2;                          /* Intermediate pointers        */
-  q31_t x0, x1, x2, x3, c0;
-  uint32_t j, k, count, check, blkCnt;
-  int32_t blockSize1, blockSize2, blockSize3;    /* loop counters                 */
-  arm_status status;                             /* status of Partial convolution */
-
-  /* Check for range of output samples to be calculated */
-  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
-  {
-    /* Set status as ARM_MATH_ARGUMENT_ERROR */
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-  else
-  {
-
-    /* The algorithm implementation is based on the lengths of the inputs. */
-    /* srcB is always made to slide across srcA. */
-    /* So srcBLen is always considered as shorter or equal to srcALen */
-    if(srcALen >=srcBLen)
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcA;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcB;
-    }
-    else
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcB;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcA;
-
-      /* srcBLen is always considered as shorter or equal to srcALen */
-      j = srcBLen;
-      srcBLen = srcALen;
-      srcALen = j;
-    }
-
-    /* Conditions to check which loopCounter holds   
-     * the first and last indices of the output samples to be calculated. */
-    check = firstIndex + numPoints;
-    blockSize3 = ((int32_t) check - (int32_t) srcALen);
-    blockSize3 = (blockSize3 > 0) ? blockSize3 : 0;
-    blockSize1 = (((int32_t) srcBLen - 1) - (int32_t) firstIndex);
-    blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1u)) ? blockSize1 :
-                                     (int32_t) numPoints) : 0;
-    blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) +
-                                    (int32_t) firstIndex);
-    blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
-
-    /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
-    /* The function is internally   
-     * divided into three stages according to the number of multiplications that has to be   
-     * taken place between inputA samples and inputB samples. In the first stage of the   
-     * algorithm, the multiplications increase by one for every iteration.   
-     * In the second stage of the algorithm, srcBLen number of multiplications are done.   
-     * In the third stage of the algorithm, the multiplications decrease by one   
-     * for every iteration. */
-
-    /* Set the output pointer to point to the firstIndex   
-     * of the output sample to be calculated. */
-    pOut = pDst + firstIndex;
-
-    /* --------------------------   
-     * Initializations of stage1   
-     * -------------------------*/
-
-    /* sum = x[0] * y[0]   
-     * sum = x[0] * y[1] + x[1] * y[0]   
-     * ....   
-     * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]   
-     */
-
-    /* In this stage the MAC operations are increased by 1 for every iteration.   
-       The count variable holds the number of MAC operations performed.   
-       Since the partial convolution starts from firstIndex   
-       Number of Macs to be performed is firstIndex + 1 */
-    count = 1u + firstIndex;
-
-    /* Working pointer of inputA */
-    px = pIn1;
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + firstIndex;
-    py = pSrc2;
-
-    /* ------------------------   
-     * Stage1 process   
-     * ----------------------*/
-
-    /* For loop unrolling by 4, this stage is divided into two. */
-    /* First part of this stage computes the MAC operations less than 4 */
-    /* Second part of this stage computes the MAC operations greater than or equal to 4 */
-
-    /* The first part of the stage starts here */
-    while((count < 4u) && (blockSize1 > 0))
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Loop over number of MAC operations between   
-       * inputA samples and inputB samples */
-      k = count;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum = __SMLAD(*px++, *py--, sum);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (sum >> 15);
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      py = ++pSrc2;
-      px = pIn1;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Decrement the loop counter */
-      blockSize1--;
-    }
-
-    /* The second part of the stage starts here */
-    /* The internal loop, over count, is unrolled by 4 */
-    /* To, read the last two inputB samples using SIMD:   
-     * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */
-    py = py - 1;
-
-    while(blockSize1 > 0)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = count >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        /* x[0], x[1] are multiplied with y[srcBLen - 1], y[srcBLen - 2] respectively */
-        sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
-        /* x[2], x[3] are multiplied with y[srcBLen - 3], y[srcBLen - 4] respectively */
-        sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* For the next MAC operations, the pointer py is used without SIMD   
-       * So, py is incremented by 1 */
-      py = py + 1u;
-
-      /* If the count is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = count % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum = __SMLAD(*px++, *py--, sum);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (sum >> 15);
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      py = ++pSrc2 - 1u;
-      px = pIn1;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Decrement the loop counter */
-      blockSize1--;
-    }
-
-    /* --------------------------   
-     * Initializations of stage2   
-     * ------------------------*/
-
-    /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]   
-     * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]   
-     * ....   
-     * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]   
-     */
-
-    /* Working pointer of inputA */
-    px = pIn1;
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + (srcBLen - 1u);
-    py = pSrc2;
-
-    /* count is the index by which the pointer pIn1 to be incremented */
-    count = 0u;
-
-
-    /* --------------------   
-     * Stage2 process   
-     * -------------------*/
-
-    /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.   
-     * So, to loop unroll over blockSize2,   
-     * srcBLen should be greater than or equal to 4 */
-    if(srcBLen >= 4u)
-    {
-      /* Loop unroll over blockSize2, by 4 */
-      blkCnt = ((uint32_t) blockSize2 >> 2u);
-
-      while(blkCnt > 0u)
-      {
-      py = py - 1u;
-
-        /* Set all accumulators to zero */
-        acc0 = 0;
-        acc1 = 0;
-        acc2 = 0;
-        acc3 = 0;
-
-
-        /* read x[0], x[1] samples */
-      x0 = *__SIMD32(px);
-        /* read x[1], x[2] samples */
-      x1 = _SIMD32_OFFSET(px+1);
-	  px+= 2u;
-
-
-        /* Apply loop unrolling and compute 4 MACs simultaneously. */
-        k = srcBLen >> 2u;
-
-        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-         ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-        do
-        {
-          /* Read the last two inputB samples using SIMD:   
-           * y[srcBLen - 1] and y[srcBLen - 2] */
-        c0 = *__SIMD32(py)--;
-
-          /* acc0 +=  x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */
-          acc0 = __SMLADX(x0, c0, acc0);
-
-          /* acc1 +=  x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */
-          acc1 = __SMLADX(x1, c0, acc1);
-
-          /* Read x[2], x[3] */
-        x2 = *__SIMD32(px);
-
-          /* Read x[3], x[4] */
-        x3 = _SIMD32_OFFSET(px+1);
-
-          /* acc2 +=  x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */
-          acc2 = __SMLADX(x2, c0, acc2);
-
-          /* acc3 +=  x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */
-          acc3 = __SMLADX(x3, c0, acc3);
-
-          /* Read y[srcBLen - 3] and y[srcBLen - 4] */
-        c0 = *__SIMD32(py)--;
-
-          /* acc0 +=  x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */
-          acc0 = __SMLADX(x2, c0, acc0);
-
-          /* acc1 +=  x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */
-          acc1 = __SMLADX(x3, c0, acc1);
-
-          /* Read x[4], x[5] */
-        x0 = _SIMD32_OFFSET(px+2);
-
-          /* Read x[5], x[6] */
-        x1 = _SIMD32_OFFSET(px+3);
-		px += 4u;
-
-          /* acc2 +=  x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */
-          acc2 = __SMLADX(x0, c0, acc2);
-
-          /* acc3 +=  x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */
-          acc3 = __SMLADX(x1, c0, acc3);
-
-        } while(--k);
-
-        /* For the next MAC operations, SIMD is not used   
-         * So, the 16 bit pointer if inputB, py is updated */
-
-        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-         ** No loop unrolling is used. */
-        k = srcBLen % 0x4u;
-
-        if(k == 1u)
-        {
-          /* Read y[srcBLen - 5] */
-        c0 = *(py+1);
-#ifdef  ARM_MATH_BIG_ENDIAN
-
-        c0 = c0 << 16u;
-
-#else
-
-        c0 = c0 & 0x0000FFFF;
-
-#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
-
-          /* Read x[7] */
-        x3 = *__SIMD32(px);
-		px++;
-
-          /* Perform the multiply-accumulates */
-          acc0 = __SMLAD(x0, c0, acc0);
-          acc1 = __SMLAD(x1, c0, acc1);
-          acc2 = __SMLADX(x1, c0, acc2);
-          acc3 = __SMLADX(x3, c0, acc3);
-        }
-
-        if(k == 2u)
-        {
-          /* Read y[srcBLen - 5], y[srcBLen - 6] */
-        c0 = _SIMD32_OFFSET(py);
-
-          /* Read x[7], x[8] */
-        x3 = *__SIMD32(px);
-
-        /* Read x[9] */
-        x2 = _SIMD32_OFFSET(px+1);
-		px += 2u;
-
-          /* Perform the multiply-accumulates */
-          acc0 = __SMLADX(x0, c0, acc0);
-          acc1 = __SMLADX(x1, c0, acc1);
-          acc2 = __SMLADX(x3, c0, acc2);
-          acc3 = __SMLADX(x2, c0, acc3);
-        }
-
-        if(k == 3u)
-        {
-          /* Read y[srcBLen - 5], y[srcBLen - 6] */
-        c0 = _SIMD32_OFFSET(py);
-
-          /* Read x[7], x[8] */
-        x3 = *__SIMD32(px);
-
-          /* Read x[9] */
-        x2 = _SIMD32_OFFSET(px+1);
-
-          /* Perform the multiply-accumulates */
-          acc0 = __SMLADX(x0, c0, acc0);
-          acc1 = __SMLADX(x1, c0, acc1);
-          acc2 = __SMLADX(x3, c0, acc2);
-          acc3 = __SMLADX(x2, c0, acc3);
-
-		c0 = *(py-1);
-#ifdef  ARM_MATH_BIG_ENDIAN
-
-        c0 = c0 << 16u;
-#else
-
-        c0 = c0 & 0x0000FFFF;
-#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
-
-          /* Read x[10] */
-        x3 =  _SIMD32_OFFSET(px+2);
-		px += 3u;
-
-          /* Perform the multiply-accumulates */
-          acc0 = __SMLADX(x1, c0, acc0);
-          acc1 = __SMLAD(x2, c0, acc1);
-          acc2 = __SMLADX(x2, c0, acc2);
-          acc3 = __SMLADX(x3, c0, acc3);
-        }
-
-        /* Store the results in the accumulators in the destination buffer. */
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        *__SIMD32(pOut)++ = __PKHBT(acc0 >> 15, acc1 >> 15, 16);
-        *__SIMD32(pOut)++ = __PKHBT(acc2 >> 15, acc3 >> 15, 16);
-
-#else
-
-        *__SIMD32(pOut)++ = __PKHBT(acc1 >> 15, acc0 >> 15, 16);
-        *__SIMD32(pOut)++ = __PKHBT(acc3 >> 15, acc2 >> 15, 16);
-
-#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-        /* Increment the pointer pIn1 index, count by 4 */
-        count += 4u;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-        px = pIn1 + count;
-        py = pSrc2;
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-
-      /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.   
-       ** No loop unrolling is used. */
-      blkCnt = (uint32_t) blockSize2 % 0x4u;
-
-      while(blkCnt > 0u)
-      {
-        /* Accumulator is made zero for every iteration */
-        sum = 0;
-
-        /* Apply loop unrolling and compute 4 MACs simultaneously. */
-        k = srcBLen >> 2u;
-
-        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-         ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulates */
-          sum += ((q31_t) * px++ * *py--);
-          sum += ((q31_t) * px++ * *py--);
-          sum += ((q31_t) * px++ * *py--);
-          sum += ((q31_t) * px++ * *py--);
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-         ** No loop unrolling is used. */
-        k = srcBLen % 0x4u;
-
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulates */
-          sum += ((q31_t) * px++ * *py--);
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* Store the result in the accumulator in the destination buffer. */
-        *pOut++ = (q15_t) (sum >> 15);
-
-        /* Increment the pointer pIn1 index, count by 1 */
-        count++;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-        px = pIn1 + count;
-        py = pSrc2;
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-    }
-    else
-    {
-      /* If the srcBLen is not a multiple of 4,   
-       * the blockSize2 loop cannot be unrolled by 4 */
-      blkCnt = (uint32_t) blockSize2;
-
-      while(blkCnt > 0u)
-      {
-        /* Accumulator is made zero for every iteration */
-        sum = 0;
-
-        /* srcBLen number of MACS should be performed */
-        k = srcBLen;
-
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulate */
-          sum += ((q31_t) * px++ * *py--);
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* Store the result in the accumulator in the destination buffer. */
-        *pOut++ = (q15_t) (sum >> 15);
-
-        /* Increment the MAC count */
-        count++;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-        px = pIn1 + count;
-        py = pSrc2;
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-    }
-
-
-    /* --------------------------   
-     * Initializations of stage3   
-     * -------------------------*/
-
-    /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]   
-     * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]   
-     * ....   
-     * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]   
-     * sum +=  x[srcALen-1] * y[srcBLen-1]   
-     */
-
-    /* In this stage the MAC operations are decreased by 1 for every iteration.   
-       The count variable holds the number of MAC operations performed */
-    count = srcBLen - 1u;
-
-    /* Working pointer of inputA */
-    pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
-    px = pSrc1;
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + (srcBLen - 1u);
-    pIn2 = pSrc2 - 1u;
-    py = pIn2;
-
-    /* -------------------   
-     * Stage3 process   
-     * ------------------*/
-
-    /* For loop unrolling by 4, this stage is divided into two. */
-    /* First part of this stage computes the MAC operations greater than 4 */
-    /* Second part of this stage computes the MAC operations less than or equal to 4 */
-
-    /* The first part of the stage starts here */
-    j = count >> 2u;
-
-    while((j > 0u) && (blockSize3 > 0))
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = count >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* x[srcALen - srcBLen + 1], x[srcALen - srcBLen + 2] are multiplied   
-         * with y[srcBLen - 1], y[srcBLen - 2] respectively */
-        sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
-        /* x[srcALen - srcBLen + 3], x[srcALen - srcBLen + 4] are multiplied   
-         * with y[srcBLen - 3], y[srcBLen - 4] respectively */
-        sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* For the next MAC operations, the pointer py is used without SIMD   
-       * So, py is incremented by 1 */
-      py = py + 1u;
-
-      /* If the count is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = count % 0x4u;
-
-      while(k > 0u)
-      {
-        /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */
-        sum = __SMLAD(*px++, *py--, sum);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (sum >> 15);
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = ++pSrc1;
-      py = pIn2;
-
-      /* Decrement the MAC count */
-      count--;
-
-      /* Decrement the loop counter */
-      blockSize3--;
-
-      j--;
-    }
-
-    /* The second part of the stage starts here */
-    /* SIMD is not used for the next MAC operations,   
-     * so pointer py is updated to read only one sample at a time */
-    py = py + 1u;
-
-    while(blockSize3 > 0)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = count;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        /* sum +=  x[srcALen-1] * y[srcBLen-1] */
-        sum = __SMLAD(*px++, *py--, sum);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (sum >> 15);
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = ++pSrc1;
-      py = pSrc2;
-
-      /* Decrement the MAC count */
-      count--;
-
-      /* Decrement the loop counter */
-      blockSize3--;
-    }
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-
-#else
-
-  q15_t *pIn1;                                   /* inputA pointer               */
-  q15_t *pIn2;                                   /* inputB pointer               */
-  q15_t *pOut = pDst;                            /* output pointer               */
-  q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulator                  */
-  q15_t *px;                                     /* Intermediate inputA pointer  */
-  q15_t *py;                                     /* Intermediate inputB pointer  */
-  q15_t *pSrc1, *pSrc2;                          /* Intermediate pointers        */
-  q31_t x0, x1, x2, x3, c0;
-  uint32_t j, k, count, check, blkCnt;
-  int32_t blockSize1, blockSize2, blockSize3;    /* loop counters                 */
-  arm_status status;                             /* status of Partial convolution */
-  q15_t a, b;
-
-  /* Check for range of output samples to be calculated */
-  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
-  {
-    /* Set status as ARM_MATH_ARGUMENT_ERROR */
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-  else
-  {
-
-    /* The algorithm implementation is based on the lengths of the inputs. */
-    /* srcB is always made to slide across srcA. */
-    /* So srcBLen is always considered as shorter or equal to srcALen */
-    if(srcALen >=srcBLen)
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcA;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcB;
-    }
-    else
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcB;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcA;
-
-      /* srcBLen is always considered as shorter or equal to srcALen */
-      j = srcBLen;
-      srcBLen = srcALen;
-      srcALen = j;
-    }
-
-    /* Conditions to check which loopCounter holds   
-     * the first and last indices of the output samples to be calculated. */
-    check = firstIndex + numPoints;
-    blockSize3 = ((int32_t) check - (int32_t) srcALen);
-    blockSize3 = (blockSize3 > 0) ? blockSize3 : 0;
-    blockSize1 = (((int32_t) srcBLen - 1) - (int32_t) firstIndex);
-    blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1u)) ? blockSize1 :
-                                     (int32_t) numPoints) : 0;
-    blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) +
-                                    (int32_t) firstIndex);
-    blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
-
-    /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
-    /* The function is internally   
-     * divided into three stages according to the number of multiplications that has to be   
-     * taken place between inputA samples and inputB samples. In the first stage of the   
-     * algorithm, the multiplications increase by one for every iteration.   
-     * In the second stage of the algorithm, srcBLen number of multiplications are done.   
-     * In the third stage of the algorithm, the multiplications decrease by one   
-     * for every iteration. */
-
-    /* Set the output pointer to point to the firstIndex   
-     * of the output sample to be calculated. */
-    pOut = pDst + firstIndex;
-
-    /* --------------------------   
-     * Initializations of stage1   
-     * -------------------------*/
-
-    /* sum = x[0] * y[0]   
-     * sum = x[0] * y[1] + x[1] * y[0]   
-     * ....   
-     * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]   
-     */
-
-    /* In this stage the MAC operations are increased by 1 for every iteration.   
-       The count variable holds the number of MAC operations performed.   
-       Since the partial convolution starts from firstIndex   
-       Number of Macs to be performed is firstIndex + 1 */
-    count = 1u + firstIndex;
-
-    /* Working pointer of inputA */
-    px = pIn1;
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + firstIndex;
-    py = pSrc2;
-
-    /* ------------------------   
-     * Stage1 process   
-     * ----------------------*/
-
-    /* For loop unrolling by 4, this stage is divided into two. */
-    /* First part of this stage computes the MAC operations less than 4 */
-    /* Second part of this stage computes the MAC operations greater than or equal to 4 */
-
-    /* The first part of the stage starts here */
-  while((count < 4u) && (blockSize1 > 0u))
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Loop over number of MAC operations between   
-       * inputA samples and inputB samples */
-      k = count;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-      sum += ((q31_t) * px++ * *py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (sum >> 15);
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      py = ++pSrc2;
-      px = pIn1;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Decrement the loop counter */
-      blockSize1--;
-    }
-
-    /* The second part of the stage starts here */
-    /* The internal loop, over count, is unrolled by 4 */
-    /* To, read the last two inputB samples using SIMD:   
-     * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */
-    py = py - 1;
-
-  while(blockSize1 > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = count >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-	py++;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-        sum += ((q31_t) * px++ * *py--);
-        sum += ((q31_t) * px++ * *py--);
-        sum += ((q31_t) * px++ * *py--);
-        sum += ((q31_t) * px++ * *py--);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-      /* If the count is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = count % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-      sum += ((q31_t) * px++ * *py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (sum >> 15);
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      py = ++pSrc2 - 1u;
-      px = pIn1;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Decrement the loop counter */
-      blockSize1--;
-    }
-
-    /* --------------------------   
-     * Initializations of stage2   
-     * ------------------------*/
-
-    /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]   
-     * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]   
-     * ....   
-     * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]   
-     */
-
-    /* Working pointer of inputA */
-    px = pIn1;
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + (srcBLen - 1u);
-    py = pSrc2;
-
-    /* count is the index by which the pointer pIn1 to be incremented */
-    count = 0u;
-
-
-    /* --------------------   
-     * Stage2 process   
-     * -------------------*/
-
-    /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.   
-     * So, to loop unroll over blockSize2,   
-     * srcBLen should be greater than or equal to 4 */
-    if(srcBLen >= 4u)
-    {
-      /* Loop unroll over blockSize2, by 4 */
-      blkCnt = ((uint32_t) blockSize2 >> 2u);
-
-      while(blkCnt > 0u)
-      {
-      py = py - 1u;
-
-        /* Set all accumulators to zero */
-        acc0 = 0;
-        acc1 = 0;
-        acc2 = 0;
-        acc3 = 0;
-
-      /* read x[0], x[1] samples */
-	  a = *px++;
-	  b = *px++;
-
-#ifndef ARM_MATH_BIG_ENDIAN
-	
-	  x0 = __PKHBT(a, b, 16);
-	  a = *px;
-	  x1 = __PKHBT(b, a, 16);
-
-#else
-
-	  x0 = __PKHBT(b, a, 16);
-	  a = *px;
-	  x1 = __PKHBT(a, b, 16);
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	   */
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      do
-      {
-        /* Read the last two inputB samples using SIMD:   
-         * y[srcBLen - 1] and y[srcBLen - 2] */
-		a = *py;
-		b = *(py+1);
-		py -= 2;
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-		c0 = __PKHBT(a, b, 16);
-
-#else
-
- 		c0 = __PKHBT(b, a, 16);;
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-        /* acc0 +=  x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */
-        acc0 = __SMLADX(x0, c0, acc0);
-
-        /* acc1 +=  x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */
-        acc1 = __SMLADX(x1, c0, acc1);
-
-	  a = *px;
-	  b = *(px + 1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-	
-	  x2 = __PKHBT(a, b, 16);
-	  a = *(px + 2);
-	  x3 = __PKHBT(b, a, 16);
-
-#else
-
-	  x2 = __PKHBT(b, a, 16);
-	  a = *(px + 2);
-	  x3 = __PKHBT(a, b, 16);
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	   */
-
-        /* acc2 +=  x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */
-        acc2 = __SMLADX(x2, c0, acc2);
-
-        /* acc3 +=  x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */
-        acc3 = __SMLADX(x3, c0, acc3);
-
-        /* Read y[srcBLen - 3] and y[srcBLen - 4] */
-		a = *py;
-		b = *(py+1);
-		py -= 2;
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-		c0 = __PKHBT(a, b, 16);
-
-#else
-
- 		c0 = __PKHBT(b, a, 16);;
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-        /* acc0 +=  x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */
-        acc0 = __SMLADX(x2, c0, acc0);
-
-        /* acc1 +=  x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */
-        acc1 = __SMLADX(x3, c0, acc1);
-
-        /* Read x[4], x[5], x[6] */
-	  a = *(px + 2);
-	  b = *(px + 3);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-	
-	  x0 = __PKHBT(a, b, 16);
-	  a = *(px + 4);
-	  x1 = __PKHBT(b, a, 16);
-
-#else
-
-	  x0 = __PKHBT(b, a, 16);
-	  a = *(px + 4);
-	  x1 = __PKHBT(a, b, 16);
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	   */
-
-		px += 4u;
-
-        /* acc2 +=  x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */
-        acc2 = __SMLADX(x0, c0, acc2);
-
-        /* acc3 +=  x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */
-        acc3 = __SMLADX(x1, c0, acc3);
-
-      } while(--k);
-
-      /* For the next MAC operations, SIMD is not used   
-       * So, the 16 bit pointer if inputB, py is updated */
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      if(k == 1u)
-      {
-        /* Read y[srcBLen - 5] */
-        c0 = *(py+1);
-
-#ifdef  ARM_MATH_BIG_ENDIAN
-
-        c0 = c0 << 16u;
-
-#else
-
-        c0 = c0 & 0x0000FFFF;
-
-#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
-
-        /* Read x[7] */
-		a = *px;
-		b = *(px+1);
-		px++;
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-		x3 = __PKHBT(a, b, 16);
-
-#else
-
- 		x3 = __PKHBT(b, a, 16);;
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLAD(x0, c0, acc0);
-        acc1 = __SMLAD(x1, c0, acc1);
-        acc2 = __SMLADX(x1, c0, acc2);
-        acc3 = __SMLADX(x3, c0, acc3);
-      }
-
-      if(k == 2u)
-      {
-        /* Read y[srcBLen - 5], y[srcBLen - 6] */
-		a = *py;
-		b = *(py+1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-		c0 = __PKHBT(a, b, 16);
-
-#else
-
- 		c0 = __PKHBT(b, a, 16);;
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-        /* Read x[7], x[8], x[9] */
-	  a = *px;
-	  b = *(px + 1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-	
-	  x3 = __PKHBT(a, b, 16);
-	  a = *(px + 2);
-	  x2 = __PKHBT(b, a, 16);
-
-#else
-
-	  x3 = __PKHBT(b, a, 16);
-	  a = *(px + 2);
-	  x2 = __PKHBT(a, b, 16);
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	   */
-		px += 2u;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLADX(x0, c0, acc0);
-        acc1 = __SMLADX(x1, c0, acc1);
-        acc2 = __SMLADX(x3, c0, acc2);
-        acc3 = __SMLADX(x2, c0, acc3);
-      }
-
-      if(k == 3u)
-      {
-        /* Read y[srcBLen - 5], y[srcBLen - 6] */
-		a = *py;
-		b = *(py+1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-		c0 = __PKHBT(a, b, 16);
-
-#else
-
- 		c0 = __PKHBT(b, a, 16);;
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-        /* Read x[7], x[8], x[9] */
-	  a = *px;
-	  b = *(px + 1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-	
-	  x3 = __PKHBT(a, b, 16);
-	  a = *(px + 2);
-	  x2 = __PKHBT(b, a, 16);
-
-#else
-
-	  x3 = __PKHBT(b, a, 16);
-	  a = *(px + 2);
-	  x2 = __PKHBT(a, b, 16);
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	   */
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLADX(x0, c0, acc0);
-        acc1 = __SMLADX(x1, c0, acc1);
-        acc2 = __SMLADX(x3, c0, acc2);
-        acc3 = __SMLADX(x2, c0, acc3);
-
-        /* Read y[srcBLen - 7] */
-		c0 = *(py-1);
-#ifdef  ARM_MATH_BIG_ENDIAN
-
-        c0 = c0 << 16u;
-#else
-
-        c0 = c0 & 0x0000FFFF;
-#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
-
-        /* Read x[10] */
-		a = *(px+2);
-		b = *(px+3);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-		x3 = __PKHBT(a, b, 16);
-
-#else
-
- 		x3 = __PKHBT(b, a, 16);;
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-		px += 3u;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLADX(x1, c0, acc0);
-        acc1 = __SMLAD(x2, c0, acc1);
-        acc2 = __SMLADX(x2, c0, acc2);
-        acc3 = __SMLADX(x3, c0, acc3);
-      }
-
-      /* Store the results in the accumulators in the destination buffer. */
-	  *pOut++ = (q15_t)(acc0 >> 15);
-	  *pOut++ = (q15_t)(acc1 >> 15);
-	  *pOut++ = (q15_t)(acc2 >> 15);
-	  *pOut++ = (q15_t)(acc3 >> 15);
-
-        /* Increment the pointer pIn1 index, count by 4 */
-        count += 4u;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-        px = pIn1 + count;
-        py = pSrc2;
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-
-      /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.   
-       ** No loop unrolling is used. */
-      blkCnt = (uint32_t) blockSize2 % 0x4u;
-
-      while(blkCnt > 0u)
-      {
-        /* Accumulator is made zero for every iteration */
-        sum = 0;
-
-        /* Apply loop unrolling and compute 4 MACs simultaneously. */
-        k = srcBLen >> 2u;
-
-        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-         ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulates */
-          sum += ((q31_t) * px++ * *py--);
-          sum += ((q31_t) * px++ * *py--);
-          sum += ((q31_t) * px++ * *py--);
-          sum += ((q31_t) * px++ * *py--);
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-         ** No loop unrolling is used. */
-        k = srcBLen % 0x4u;
-
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulates */
-          sum += ((q31_t) * px++ * *py--);
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* Store the result in the accumulator in the destination buffer. */
-        *pOut++ = (q15_t) (sum >> 15);
-
-        /* Increment the pointer pIn1 index, count by 1 */
-        count++;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-        px = pIn1 + count;
-        py = pSrc2;
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-    }
-    else
-    {
-      /* If the srcBLen is not a multiple of 4,   
-       * the blockSize2 loop cannot be unrolled by 4 */
-      blkCnt = (uint32_t) blockSize2;
-
-      while(blkCnt > 0u)
-      {
-        /* Accumulator is made zero for every iteration */
-        sum = 0;
-
-        /* srcBLen number of MACS should be performed */
-        k = srcBLen;
-
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulate */
-          sum += ((q31_t) * px++ * *py--);
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* Store the result in the accumulator in the destination buffer. */
-        *pOut++ = (q15_t) (sum >> 15);
-
-        /* Increment the MAC count */
-        count++;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-        px = pIn1 + count;
-        py = pSrc2;
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-    }
-
-
-    /* --------------------------   
-     * Initializations of stage3   
-     * -------------------------*/
-
-    /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]   
-     * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]   
-     * ....   
-     * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]   
-     * sum +=  x[srcALen-1] * y[srcBLen-1]   
-     */
-
-    /* In this stage the MAC operations are decreased by 1 for every iteration.   
-       The count variable holds the number of MAC operations performed */
-    count = srcBLen - 1u;
-
-    /* Working pointer of inputA */
-    pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
-    px = pSrc1;
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + (srcBLen - 1u);
-    pIn2 = pSrc2 - 1u;
-    py = pIn2;
-
-    /* -------------------   
-     * Stage3 process   
-     * ------------------*/
-
-    /* For loop unrolling by 4, this stage is divided into two. */
-    /* First part of this stage computes the MAC operations greater than 4 */
-    /* Second part of this stage computes the MAC operations less than or equal to 4 */
-
-    /* The first part of the stage starts here */
-    j = count >> 2u;
-
-    while((j > 0u) && (blockSize3 > 0))
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = count >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-	py++;
-
-    while(k > 0u)
-    {	
-      /* Perform the multiply-accumulates */
-        sum += ((q31_t) * px++ * *py--);
-        sum += ((q31_t) * px++ * *py--);
-        sum += ((q31_t) * px++ * *py--);
-        sum += ((q31_t) * px++ * *py--);
-      /* Decrement the loop counter */
-      k--;
-    }
-
-
-      /* If the count is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = count % 0x4u;
-
-      while(k > 0u)
-      {
-      /* Perform the multiply-accumulates */
-        sum += ((q31_t) * px++ * *py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (sum >> 15);
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = ++pSrc1;
-      py = pIn2;
-
-      /* Decrement the MAC count */
-      count--;
-
-      /* Decrement the loop counter */
-      blockSize3--;
-
-      j--;
-    }
-
-    /* The second part of the stage starts here */
-    /* SIMD is not used for the next MAC operations,   
-     * so pointer py is updated to read only one sample at a time */
-    py = py + 1u;
-
-  while(blockSize3 > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = count;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        /* sum +=  x[srcALen-1] * y[srcBLen-1] */
-        sum += ((q31_t) * px++ * *py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (sum >> 15);
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = ++pSrc1;
-      py = pSrc2;
-
-      /* Decrement the MAC count */
-      count--;
-
-      /* Decrement the loop counter */
-      blockSize3--;
-    }
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-
-#endif /*     #ifndef UNALIGNED_SUPPORT_DISABLE      */
-}
-
-/**   
- * @} end of PartialConv group   
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_fast_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_fast_q31.c
deleted file mode 100644
index 17902f593..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_fast_q31.c
+++ /dev/null
@@ -1,599 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_conv_partial_fast_q31.c    
-*    
-* Description:	Fast Q31 Partial convolution.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.11 2011/10/18  
-*    Bug Fix in conv, correlation, partial convolution.  
-* 
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup PartialConv    
- * @{    
- */
-
-/**    
- * @brief Partial convolution of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4.    
- * @param[in]       *pSrcA points to the first input sequence.    
- * @param[in]       srcALen length of the first input sequence.    
- * @param[in]       *pSrcB points to the second input sequence.    
- * @param[in]       srcBLen length of the second input sequence.    
- * @param[out]      *pDst points to the location where the output result is written.    
- * @param[in]       firstIndex is the first output sample to start with.    
- * @param[in]       numPoints is the number of output points to be computed.    
- * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].    
- *    
- * \par    
- * See arm_conv_partial_q31() for a slower implementation of this function which uses a 64-bit accumulator to provide higher precision.    
- */
-
-arm_status arm_conv_partial_fast_q31(
-  q31_t * pSrcA,
-  uint32_t srcALen,
-  q31_t * pSrcB,
-  uint32_t srcBLen,
-  q31_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints)
-{
-  q31_t *pIn1;                                   /* inputA pointer               */
-  q31_t *pIn2;                                   /* inputB pointer               */
-  q31_t *pOut = pDst;                            /* output pointer               */
-  q31_t *px;                                     /* Intermediate inputA pointer  */
-  q31_t *py;                                     /* Intermediate inputB pointer  */
-  q31_t *pSrc1, *pSrc2;                          /* Intermediate pointers        */
-  q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulators                  */
-  q31_t x0, x1, x2, x3, c0;
-  uint32_t j, k, count, check, blkCnt;
-  int32_t blockSize1, blockSize2, blockSize3;    /* loop counters                 */
-  arm_status status;                             /* status of Partial convolution */
-
-
-  /* Check for range of output samples to be calculated */
-  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
-  {
-    /* Set status as ARM_MATH_ARGUMENT_ERROR */
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-  else
-  {
-
-    /* The algorithm implementation is based on the lengths of the inputs. */
-    /* srcB is always made to slide across srcA. */
-    /* So srcBLen is always considered as shorter or equal to srcALen */
-    if(srcALen >= srcBLen)
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcA;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcB;
-    }
-    else
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcB;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcA;
-
-      /* srcBLen is always considered as shorter or equal to srcALen */
-      j = srcBLen;
-      srcBLen = srcALen;
-      srcALen = j;
-    }
-
-    /* Conditions to check which loopCounter holds    
-     * the first and last indices of the output samples to be calculated. */
-    check = firstIndex + numPoints;
-    blockSize3 = ((int32_t) check - (int32_t) srcALen);
-    blockSize3 = (blockSize3 > 0) ? blockSize3 : 0;
-    blockSize1 = (((int32_t) srcBLen - 1) - (int32_t) firstIndex);
-    blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1u)) ? blockSize1 :
-                                     (int32_t) numPoints) : 0;
-    blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) +
-                                    (int32_t) firstIndex);
-    blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
-
-    /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
-    /* The function is internally    
-     * divided into three stages according to the number of multiplications that has to be    
-     * taken place between inputA samples and inputB samples. In the first stage of the    
-     * algorithm, the multiplications increase by one for every iteration.    
-     * In the second stage of the algorithm, srcBLen number of multiplications are done.    
-     * In the third stage of the algorithm, the multiplications decrease by one    
-     * for every iteration. */
-
-    /* Set the output pointer to point to the firstIndex    
-     * of the output sample to be calculated. */
-    pOut = pDst + firstIndex;
-
-    /* --------------------------    
-     * Initializations of stage1    
-     * -------------------------*/
-
-    /* sum = x[0] * y[0]    
-     * sum = x[0] * y[1] + x[1] * y[0]    
-     * ....    
-     * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]    
-     */
-
-    /* In this stage the MAC operations are increased by 1 for every iteration.    
-       The count variable holds the number of MAC operations performed.    
-       Since the partial convolution starts from firstIndex    
-       Number of Macs to be performed is firstIndex + 1 */
-    count = 1u + firstIndex;
-
-    /* Working pointer of inputA */
-    px = pIn1;
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + firstIndex;
-    py = pSrc2;
-
-    /* ------------------------    
-     * Stage1 process    
-     * ----------------------*/
-
-    /* The first loop starts here */
-    while(blockSize1 > 0)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = count >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* x[0] * y[srcBLen - 1] */
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py--))) >> 32);
-
-        /* x[1] * y[srcBLen - 2] */
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py--))) >> 32);
-
-        /* x[2] * y[srcBLen - 3] */
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py--))) >> 32);
-
-        /* x[3] * y[srcBLen - 4] */
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py--))) >> 32);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the count is not a multiple of 4, compute any remaining MACs here.    
-       ** No loop unrolling is used. */
-      k = count % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py--))) >> 32);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = sum << 1;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      py = ++pSrc2;
-      px = pIn1;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Decrement the loop counter */
-      blockSize1--;
-    }
-
-    /* --------------------------    
-     * Initializations of stage2    
-     * ------------------------*/
-
-    /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]    
-     * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]    
-     * ....    
-     * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]    
-     */
-
-    /* Working pointer of inputA */
-    px = pIn1;
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + (srcBLen - 1u);
-    py = pSrc2;
-
-    /* count is index by which the pointer pIn1 to be incremented */
-    count = 0u;
-
-    /* -------------------    
-     * Stage2 process    
-     * ------------------*/
-
-    /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.    
-     * So, to loop unroll over blockSize2,    
-     * srcBLen should be greater than or equal to 4 */
-    if(srcBLen >= 4u)
-    {
-      /* Loop unroll over blockSize2 */
-      blkCnt = ((uint32_t) blockSize2 >> 2u);
-
-      while(blkCnt > 0u)
-      {
-        /* Set all accumulators to zero */
-        acc0 = 0;
-        acc1 = 0;
-        acc2 = 0;
-        acc3 = 0;
-
-        /* read x[0], x[1], x[2] samples */
-        x0 = *(px++);
-        x1 = *(px++);
-        x2 = *(px++);
-
-        /* Apply loop unrolling and compute 4 MACs simultaneously. */
-        k = srcBLen >> 2u;
-
-        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-         ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-        do
-        {
-          /* Read y[srcBLen - 1] sample */
-          c0 = *(py--);
-
-          /* Read x[3] sample */
-          x3 = *(px++);
-
-          /* Perform the multiply-accumulate */
-          /* acc0 +=  x[0] * y[srcBLen - 1] */
-          acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
-
-          /* acc1 +=  x[1] * y[srcBLen - 1] */
-          acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
-
-          /* acc2 +=  x[2] * y[srcBLen - 1] */
-          acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
-
-          /* acc3 +=  x[3] * y[srcBLen - 1] */
-          acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
-
-          /* Read y[srcBLen - 2] sample */
-          c0 = *(py--);
-
-          /* Read x[4] sample */
-          x0 = *(px++);
-
-          /* Perform the multiply-accumulate */
-          /* acc0 +=  x[1] * y[srcBLen - 2] */
-          acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x1 * c0)) >> 32);
-          /* acc1 +=  x[2] * y[srcBLen - 2] */
-          acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x2 * c0)) >> 32);
-          /* acc2 +=  x[3] * y[srcBLen - 2] */
-          acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x3 * c0)) >> 32);
-          /* acc3 +=  x[4] * y[srcBLen - 2] */
-          acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x0 * c0)) >> 32);
-
-          /* Read y[srcBLen - 3] sample */
-          c0 = *(py--);
-
-          /* Read x[5] sample */
-          x1 = *(px++);
-
-          /* Perform the multiply-accumulates */
-          /* acc0 +=  x[2] * y[srcBLen - 3] */
-          acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x2 * c0)) >> 32);
-          /* acc1 +=  x[3] * y[srcBLen - 2] */
-          acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x3 * c0)) >> 32);
-          /* acc2 +=  x[4] * y[srcBLen - 2] */
-          acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x0 * c0)) >> 32);
-          /* acc3 +=  x[5] * y[srcBLen - 2] */
-          acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x1 * c0)) >> 32);
-
-          /* Read y[srcBLen - 4] sample */
-          c0 = *(py--);
-
-          /* Read x[6] sample */
-          x2 = *(px++);
-
-          /* Perform the multiply-accumulates */
-          /* acc0 +=  x[3] * y[srcBLen - 4] */
-          acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x3 * c0)) >> 32);
-          /* acc1 +=  x[4] * y[srcBLen - 4] */
-          acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x0 * c0)) >> 32);
-          /* acc2 +=  x[5] * y[srcBLen - 4] */
-          acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x1 * c0)) >> 32);
-          /* acc3 +=  x[6] * y[srcBLen - 4] */
-          acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x2 * c0)) >> 32);
-
-
-        } while(--k);
-
-        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
-         ** No loop unrolling is used. */
-        k = srcBLen % 0x4u;
-
-        while(k > 0u)
-        {
-          /* Read y[srcBLen - 5] sample */
-          c0 = *(py--);
-
-          /* Read x[7] sample */
-          x3 = *(px++);
-
-          /* Perform the multiply-accumulates */
-          /* acc0 +=  x[4] * y[srcBLen - 5] */
-          acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
-          /* acc1 +=  x[5] * y[srcBLen - 5] */
-          acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
-          /* acc2 +=  x[6] * y[srcBLen - 5] */
-          acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
-          /* acc3 +=  x[7] * y[srcBLen - 5] */
-          acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
-
-          /* Reuse the present samples for the next MAC */
-          x0 = x1;
-          x1 = x2;
-          x2 = x3;
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* Store the result in the accumulator in the destination buffer. */
-        *pOut++ = (q31_t) (acc0 << 1);
-        *pOut++ = (q31_t) (acc1 << 1);
-        *pOut++ = (q31_t) (acc2 << 1);
-        *pOut++ = (q31_t) (acc3 << 1);
-
-        /* Increment the pointer pIn1 index, count by 4 */
-        count += 4u;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-        px = pIn1 + count;
-        py = pSrc2;
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-
-      /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.    
-       ** No loop unrolling is used. */
-      blkCnt = (uint32_t) blockSize2 % 0x4u;
-
-      while(blkCnt > 0u)
-      {
-        /* Accumulator is made zero for every iteration */
-        sum = 0;
-
-        /* Apply loop unrolling and compute 4 MACs simultaneously. */
-        k = srcBLen >> 2u;
-
-        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-         ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulates */
-          sum = (q31_t) ((((q63_t) sum << 32) +
-                          ((q63_t) * px++ * (*py--))) >> 32);
-          sum = (q31_t) ((((q63_t) sum << 32) +
-                          ((q63_t) * px++ * (*py--))) >> 32);
-          sum = (q31_t) ((((q63_t) sum << 32) +
-                          ((q63_t) * px++ * (*py--))) >> 32);
-          sum = (q31_t) ((((q63_t) sum << 32) +
-                          ((q63_t) * px++ * (*py--))) >> 32);
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
-         ** No loop unrolling is used. */
-        k = srcBLen % 0x4u;
-
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulate */
-          sum = (q31_t) ((((q63_t) sum << 32) +
-                          ((q63_t) * px++ * (*py--))) >> 32);
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* Store the result in the accumulator in the destination buffer. */
-        *pOut++ = sum << 1;
-
-        /* Increment the MAC count */
-        count++;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-        px = pIn1 + count;
-        py = pSrc2;
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-    }
-    else
-    {
-      /* If the srcBLen is not a multiple of 4,    
-       * the blockSize2 loop cannot be unrolled by 4 */
-      blkCnt = (uint32_t) blockSize2;
-
-      while(blkCnt > 0u)
-      {
-        /* Accumulator is made zero for every iteration */
-        sum = 0;
-
-        /* srcBLen number of MACS should be performed */
-        k = srcBLen;
-
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulate */
-          sum = (q31_t) ((((q63_t) sum << 32) +
-                          ((q63_t) * px++ * (*py--))) >> 32);
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* Store the result in the accumulator in the destination buffer. */
-        *pOut++ = sum << 1;
-
-        /* Increment the MAC count */
-        count++;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-        px = pIn1 + count;
-        py = pSrc2;
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-    }
-
-
-    /* --------------------------    
-     * Initializations of stage3    
-     * -------------------------*/
-
-    /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]    
-     * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]    
-     * ....    
-     * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]    
-     * sum +=  x[srcALen-1] * y[srcBLen-1]    
-     */
-
-    /* In this stage the MAC operations are decreased by 1 for every iteration.    
-       The count variable holds the number of MAC operations performed */
-    count = srcBLen - 1u;
-
-    /* Working pointer of inputA */
-    pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
-    px = pSrc1;
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + (srcBLen - 1u);
-    py = pSrc2;
-
-    /* -------------------    
-     * Stage3 process    
-     * ------------------*/
-
-    while(blockSize3 > 0)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = count >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py--))) >> 32);
-
-        /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py--))) >> 32);
-
-        /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py--))) >> 32);
-
-        /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py--))) >> 32);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the count is not a multiple of 4, compute any remaining MACs here.    
-       ** No loop unrolling is used. */
-      k = count % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        /* sum +=  x[srcALen-1] * y[srcBLen-1] */
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py--))) >> 32);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = sum << 1;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = ++pSrc1;
-      py = pSrc2;
-
-      /* Decrement the MAC count */
-      count--;
-
-      /* Decrement the loop counter */
-      blockSize3--;
-
-    }
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-
-}
-
-/**    
- * @} end of PartialConv group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_opt_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_opt_q15.c
deleted file mode 100644
index fe14f9fd3..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_opt_q15.c
+++ /dev/null
@@ -1,764 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_conv_partial_opt_q15.c    
-*    
-* Description:	Partial convolution of Q15 sequences.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*  
-* Version 1.0.11 2011/10/18  
-*    Bug Fix in conv, correlation, partial convolution.  
-* 
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-*    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup PartialConv    
- * @{    
- */
-
-/**    
- * @brief Partial convolution of Q15 sequences.    
- * @param[in]       *pSrcA points to the first input sequence.    
- * @param[in]       srcALen length of the first input sequence.    
- * @param[in]       *pSrcB points to the second input sequence.    
- * @param[in]       srcBLen length of the second input sequence.    
- * @param[out]      *pDst points to the location where the output result is written.    
- * @param[in]       firstIndex is the first output sample to start with.    
- * @param[in]       numPoints is the number of output points to be computed.    
- * @param[in]       *pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.   
- * @param[in]       *pScratch2 points to scratch buffer of size min(srcALen, srcBLen).   
- * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].    
- *    
- * \par Restrictions    
- *  If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE    
- *	In this case input, output, state buffers should be aligned by 32-bit    
- *    
- * Refer to arm_conv_partial_fast_q15() for a faster but less precise version of this function for Cortex-M3 and Cortex-M4.   
- *  
- * 
- */
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-arm_status arm_conv_partial_opt_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints,
-  q15_t * pScratch1,
-  q15_t * pScratch2)
-{
-
-  q15_t *pOut = pDst;                            /* output pointer */
-  q15_t *pScr1 = pScratch1;                      /* Temporary pointer for scratch1 */
-  q15_t *pScr2 = pScratch2;                      /* Temporary pointer for scratch1 */
-  q63_t acc0, acc1, acc2, acc3;                  /* Accumulator */
-  q31_t x1, x2, x3;                              /* Temporary variables to hold state and coefficient values */
-  q31_t y1, y2;                                  /* State variables */
-  q15_t *pIn1;                                   /* inputA pointer */
-  q15_t *pIn2;                                   /* inputB pointer */
-  q15_t *px;                                     /* Intermediate inputA pointer  */
-  q15_t *py;                                     /* Intermediate inputB pointer  */
-  uint32_t j, k, blkCnt;                         /* loop counter */
-  arm_status status;                             /* Status variable */
-  uint32_t tapCnt;                               /* loop count */
-
-  /* Check for range of output samples to be calculated */
-  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
-  {
-    /* Set status as ARM_MATH_ARGUMENT_ERROR */
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-  else
-  {
-
-    /* The algorithm implementation is based on the lengths of the inputs. */
-    /* srcB is always made to slide across srcA. */
-    /* So srcBLen is always considered as shorter or equal to srcALen */
-    if(srcALen >= srcBLen)
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcA;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcB;
-    }
-    else
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcB;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcA;
-
-      /* srcBLen is always considered as shorter or equal to srcALen */
-      j = srcBLen;
-      srcBLen = srcALen;
-      srcALen = j;
-    }
-
-    /* Temporary pointer for scratch2 */
-    py = pScratch2;
-
-    /* pointer to take end of scratch2 buffer */
-    pScr2 = pScratch2 + srcBLen - 1;
-
-    /* points to smaller length sequence */
-    px = pIn2;
-
-    /* Apply loop unrolling and do 4 Copies simultaneously. */
-    k = srcBLen >> 2u;
-
-    /* First part of the processing with loop unrolling copies 4 data points at a time.       
-     ** a second loop below copies for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner */
-      *pScr2-- = *px++;
-      *pScr2-- = *px++;
-      *pScr2-- = *px++;
-      *pScr2-- = *px++;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, copy remaining samples here.       
-     ** No loop unrolling is used. */
-    k = srcBLen % 0x4u;
-
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner for remaining samples */
-      *pScr2-- = *px++;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Initialze temporary scratch pointer */
-    pScr1 = pScratch1;
-
-    /* Fill (srcBLen - 1u) zeros in scratch buffer */
-    arm_fill_q15(0, pScr1, (srcBLen - 1u));
-
-    /* Update temporary scratch pointer */
-    pScr1 += (srcBLen - 1u);
-
-    /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */
-
-    /* Copy (srcALen) samples in scratch buffer */
-    arm_copy_q15(pIn1, pScr1, srcALen);
-
-    /* Update pointers */
-    pScr1 += srcALen;
-
-    /* Fill (srcBLen - 1u) zeros at end of scratch buffer */
-    arm_fill_q15(0, pScr1, (srcBLen - 1u));
-
-    /* Update pointer */
-    pScr1 += (srcBLen - 1u);
-
-    /* Initialization of pIn2 pointer */
-    pIn2 = py;
-
-    pScratch1 += firstIndex;
-
-    pOut = pDst + firstIndex;
-
-    /* Actual convolution process starts here */
-    blkCnt = (numPoints) >> 2;
-
-    while(blkCnt > 0)
-    {
-      /* Initialze temporary scratch pointer as scratch1 */
-      pScr1 = pScratch1;
-
-      /* Clear Accumlators */
-      acc0 = 0;
-      acc1 = 0;
-      acc2 = 0;
-      acc3 = 0;
-
-      /* Read two samples from scratch1 buffer */
-      x1 = *__SIMD32(pScr1)++;
-
-      /* Read next two samples from scratch1 buffer */
-      x2 = *__SIMD32(pScr1)++;
-
-      tapCnt = (srcBLen) >> 2u;
-
-      while(tapCnt > 0u)
-      {
-
-        /* Read four samples from smaller buffer */
-        y1 = _SIMD32_OFFSET(pIn2);
-        y2 = _SIMD32_OFFSET(pIn2 + 2u);
-
-        /* multiply and accumlate */
-        acc0 = __SMLALD(x1, y1, acc0);
-        acc2 = __SMLALD(x2, y1, acc2);
-
-        /* pack input data */
-#ifndef ARM_MATH_BIG_ENDIAN
-        x3 = __PKHBT(x2, x1, 0);
-#else
-        x3 = __PKHBT(x1, x2, 0);
-#endif
-
-        /* multiply and accumlate */
-        acc1 = __SMLALDX(x3, y1, acc1);
-
-        /* Read next two samples from scratch1 buffer */
-        x1 = _SIMD32_OFFSET(pScr1);
-
-        /* multiply and accumlate */
-        acc0 = __SMLALD(x2, y2, acc0);
-        acc2 = __SMLALD(x1, y2, acc2);
-
-        /* pack input data */
-#ifndef ARM_MATH_BIG_ENDIAN
-        x3 = __PKHBT(x1, x2, 0);
-#else
-        x3 = __PKHBT(x2, x1, 0);
-#endif
-
-        acc3 = __SMLALDX(x3, y1, acc3);
-        acc1 = __SMLALDX(x3, y2, acc1);
-
-        x2 = _SIMD32_OFFSET(pScr1 + 2u);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-        x3 = __PKHBT(x2, x1, 0);
-#else
-        x3 = __PKHBT(x1, x2, 0);
-#endif
-
-        acc3 = __SMLALDX(x3, y2, acc3);
-
-        /* update scratch pointers */
-        pIn2 += 4u;
-        pScr1 += 4u;
-
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      /* Update scratch pointer for remaining samples of smaller length sequence */
-      pScr1 -= 4u;
-
-      /* apply same above for remaining samples of smaller length sequence */
-      tapCnt = (srcBLen) & 3u;
-
-      while(tapCnt > 0u)
-      {
-        /* accumlate the results */
-        acc0 += (*pScr1++ * *pIn2);
-        acc1 += (*pScr1++ * *pIn2);
-        acc2 += (*pScr1++ * *pIn2);
-        acc3 += (*pScr1++ * *pIn2++);
-
-        pScr1 -= 3u;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      blkCnt--;
-
-
-      /* Store the results in the accumulators in the destination buffer. */
-
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-      *__SIMD32(pOut)++ =
-        __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16);
-      *__SIMD32(pOut)++ =
-        __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16);
-
-#else
-
-      *__SIMD32(pOut)++ =
-        __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16);
-      *__SIMD32(pOut)++ =
-        __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16);
-
-#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-      /* Initialization of inputB pointer */
-      pIn2 = py;
-
-      pScratch1 += 4u;
-
-    }
-
-
-    blkCnt = numPoints & 0x3;
-
-    /* Calculate convolution for remaining samples of Bigger length sequence */
-    while(blkCnt > 0)
-    {
-      /* Initialze temporary scratch pointer as scratch1 */
-      pScr1 = pScratch1;
-
-      /* Clear Accumlators */
-      acc0 = 0;
-
-      tapCnt = (srcBLen) >> 1u;
-
-      while(tapCnt > 0u)
-      {
-
-        /* Read next two samples from scratch1 buffer */
-        x1 = *__SIMD32(pScr1)++;
-
-        /* Read two samples from smaller buffer */
-        y1 = *__SIMD32(pIn2)++;
-
-        acc0 = __SMLALD(x1, y1, acc0);
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      tapCnt = (srcBLen) & 1u;
-
-      /* apply same above for remaining samples of smaller length sequence */
-      while(tapCnt > 0u)
-      {
-
-        /* accumlate the results */
-        acc0 += (*pScr1++ * *pIn2++);
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      blkCnt--;
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16));
-
-      /* Initialization of inputB pointer */
-      pIn2 = py;
-
-      pScratch1 += 1u;
-
-    }
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-
-  }
-
-  /* Return to application */
-  return (status);
-}
-
-#else
-
-arm_status arm_conv_partial_opt_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints,
-  q15_t * pScratch1,
-  q15_t * pScratch2)
-{
-
-  q15_t *pOut = pDst;                            /* output pointer */
-  q15_t *pScr1 = pScratch1;                      /* Temporary pointer for scratch1 */
-  q15_t *pScr2 = pScratch2;                      /* Temporary pointer for scratch1 */
-  q63_t acc0, acc1, acc2, acc3;                  /* Accumulator */
-  q15_t *pIn1;                                   /* inputA pointer */
-  q15_t *pIn2;                                   /* inputB pointer */
-  q15_t *px;                                     /* Intermediate inputA pointer  */
-  q15_t *py;                                     /* Intermediate inputB pointer  */
-  uint32_t j, k, blkCnt;                         /* loop counter */
-  arm_status status;                             /* Status variable */
-  uint32_t tapCnt;                               /* loop count */
-  q15_t x10, x11, x20, x21;                      /* Temporary variables to hold srcA buffer */
-  q15_t y10, y11;                                /* Temporary variables to hold srcB buffer */
-
-
-  /* Check for range of output samples to be calculated */
-  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
-  {
-    /* Set status as ARM_MATH_ARGUMENT_ERROR */
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-  else
-  {
-
-    /* The algorithm implementation is based on the lengths of the inputs. */
-    /* srcB is always made to slide across srcA. */
-    /* So srcBLen is always considered as shorter or equal to srcALen */
-    if(srcALen >= srcBLen)
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcA;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcB;
-    }
-    else
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcB;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcA;
-
-      /* srcBLen is always considered as shorter or equal to srcALen */
-      j = srcBLen;
-      srcBLen = srcALen;
-      srcALen = j;
-    }
-
-    /* Temporary pointer for scratch2 */
-    py = pScratch2;
-
-    /* pointer to take end of scratch2 buffer */
-    pScr2 = pScratch2 + srcBLen - 1;
-
-    /* points to smaller length sequence */
-    px = pIn2;
-
-    /* Apply loop unrolling and do 4 Copies simultaneously. */
-    k = srcBLen >> 2u;
-
-    /* First part of the processing with loop unrolling copies 4 data points at a time.       
-     ** a second loop below copies for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner */
-      *pScr2-- = *px++;
-      *pScr2-- = *px++;
-      *pScr2-- = *px++;
-      *pScr2-- = *px++;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, copy remaining samples here.       
-     ** No loop unrolling is used. */
-    k = srcBLen % 0x4u;
-
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner for remaining samples */
-      *pScr2-- = *px++;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Initialze temporary scratch pointer */
-    pScr1 = pScratch1;
-
-    /* Fill (srcBLen - 1u) zeros in scratch buffer */
-    arm_fill_q15(0, pScr1, (srcBLen - 1u));
-
-    /* Update temporary scratch pointer */
-    pScr1 += (srcBLen - 1u);
-
-    /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */
-
-
-    /* Apply loop unrolling and do 4 Copies simultaneously. */
-    k = srcALen >> 2u;
-
-    /* First part of the processing with loop unrolling copies 4 data points at a time.       
-     ** a second loop below copies for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner */
-      *pScr1++ = *pIn1++;
-      *pScr1++ = *pIn1++;
-      *pScr1++ = *pIn1++;
-      *pScr1++ = *pIn1++;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, copy remaining samples here.       
-     ** No loop unrolling is used. */
-    k = srcALen % 0x4u;
-
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner for remaining samples */
-      *pScr1++ = *pIn1++;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-
-    /* Apply loop unrolling and do 4 Copies simultaneously. */
-    k = (srcBLen - 1u) >> 2u;
-
-    /* First part of the processing with loop unrolling copies 4 data points at a time.       
-     ** a second loop below copies for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner */
-      *pScr1++ = 0;
-      *pScr1++ = 0;
-      *pScr1++ = 0;
-      *pScr1++ = 0;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, copy remaining samples here.       
-     ** No loop unrolling is used. */
-    k = (srcBLen - 1u) % 0x4u;
-
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner for remaining samples */
-      *pScr1++ = 0;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-
-    /* Initialization of pIn2 pointer */
-    pIn2 = py;
-
-    pScratch1 += firstIndex;
-
-    pOut = pDst + firstIndex;
-
-    /* Actual convolution process starts here */
-    blkCnt = (numPoints) >> 2;
-
-    while(blkCnt > 0)
-    {
-      /* Initialze temporary scratch pointer as scratch1 */
-      pScr1 = pScratch1;
-
-      /* Clear Accumlators */
-      acc0 = 0;
-      acc1 = 0;
-      acc2 = 0;
-      acc3 = 0;
-
-      /* Read two samples from scratch1 buffer */
-      x10 = *pScr1++;
-      x11 = *pScr1++;
-
-      /* Read next two samples from scratch1 buffer */
-      x20 = *pScr1++;
-      x21 = *pScr1++;
-
-      tapCnt = (srcBLen) >> 2u;
-
-      while(tapCnt > 0u)
-      {
-
-        /* Read two samples from smaller buffer */
-        y10 = *pIn2;
-        y11 = *(pIn2 + 1u);
-
-        /* multiply and accumlate */
-        acc0 += (q63_t) x10 *y10;
-        acc0 += (q63_t) x11 *y11;
-        acc2 += (q63_t) x20 *y10;
-        acc2 += (q63_t) x21 *y11;
-
-        /* multiply and accumlate */
-        acc1 += (q63_t) x11 *y10;
-        acc1 += (q63_t) x20 *y11;
-
-        /* Read next two samples from scratch1 buffer */
-        x10 = *pScr1;
-        x11 = *(pScr1 + 1u);
-
-        /* multiply and accumlate */
-        acc3 += (q63_t) x21 *y10;
-        acc3 += (q63_t) x10 *y11;
-
-        /* Read next two samples from scratch2 buffer */
-        y10 = *(pIn2 + 2u);
-        y11 = *(pIn2 + 3u);
-
-        /* multiply and accumlate */
-        acc0 += (q63_t) x20 *y10;
-        acc0 += (q63_t) x21 *y11;
-        acc2 += (q63_t) x10 *y10;
-        acc2 += (q63_t) x11 *y11;
-        acc1 += (q63_t) x21 *y10;
-        acc1 += (q63_t) x10 *y11;
-
-        /* Read next two samples from scratch1 buffer */
-        x20 = *(pScr1 + 2);
-        x21 = *(pScr1 + 3);
-
-        /* multiply and accumlate */
-        acc3 += (q63_t) x11 *y10;
-        acc3 += (q63_t) x20 *y11;
-
-        /* update scratch pointers */
-        pIn2 += 4u;
-        pScr1 += 4u;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      /* Update scratch pointer for remaining samples of smaller length sequence */
-      pScr1 -= 4u;
-
-      /* apply same above for remaining samples of smaller length sequence */
-      tapCnt = (srcBLen) & 3u;
-
-      while(tapCnt > 0u)
-      {
-        /* accumlate the results */
-        acc0 += (*pScr1++ * *pIn2);
-        acc1 += (*pScr1++ * *pIn2);
-        acc2 += (*pScr1++ * *pIn2);
-        acc3 += (*pScr1++ * *pIn2++);
-
-        pScr1 -= 3u;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      blkCnt--;
-
-
-      /* Store the results in the accumulators in the destination buffer. */
-      *pOut++ = __SSAT((acc0 >> 15), 16);
-      *pOut++ = __SSAT((acc1 >> 15), 16);
-      *pOut++ = __SSAT((acc2 >> 15), 16);
-      *pOut++ = __SSAT((acc3 >> 15), 16);
-
-
-      /* Initialization of inputB pointer */
-      pIn2 = py;
-
-      pScratch1 += 4u;
-
-    }
-
-
-    blkCnt = numPoints & 0x3;
-
-    /* Calculate convolution for remaining samples of Bigger length sequence */
-    while(blkCnt > 0)
-    {
-      /* Initialze temporary scratch pointer as scratch1 */
-      pScr1 = pScratch1;
-
-      /* Clear Accumlators */
-      acc0 = 0;
-
-      tapCnt = (srcBLen) >> 1u;
-
-      while(tapCnt > 0u)
-      {
-
-        /* Read next two samples from scratch1 buffer */
-        x10 = *pScr1++;
-        x11 = *pScr1++;
-
-        /* Read two samples from smaller buffer */
-        y10 = *pIn2++;
-        y11 = *pIn2++;
-
-        /* multiply and accumlate */
-        acc0 += (q63_t) x10 *y10;
-        acc0 += (q63_t) x11 *y11;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      tapCnt = (srcBLen) & 1u;
-
-      /* apply same above for remaining samples of smaller length sequence */
-      while(tapCnt > 0u)
-      {
-
-        /* accumlate the results */
-        acc0 += (*pScr1++ * *pIn2++);
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      blkCnt--;
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16));
-
-
-      /* Initialization of inputB pointer */
-      pIn2 = py;
-
-      pScratch1 += 1u;
-
-    }
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-
-  }
-
-  /* Return to application */
-  return (status);
-}
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-
-/**    
- * @} end of PartialConv group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_opt_q7.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_opt_q7.c
deleted file mode 100644
index 513d89d87..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_opt_q7.c
+++ /dev/null
@@ -1,806 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_conv_partial_opt_q7.c    
-*    
-* Description:	Partial convolution of Q7 sequences.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*  
-* Version 1.0.11 2011/10/18  
-*    Bug Fix in conv, correlation, partial convolution.  
-* 
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-*    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup PartialConv    
- * @{    
- */
-
-/**    
- * @brief Partial convolution of Q7 sequences.    
- * @param[in]       *pSrcA points to the first input sequence.    
- * @param[in]       srcALen length of the first input sequence.    
- * @param[in]       *pSrcB points to the second input sequence.    
- * @param[in]       srcBLen length of the second input sequence.    
- * @param[out]      *pDst points to the location where the output result is written.    
- * @param[in]       firstIndex is the first output sample to start with.    
- * @param[in]       numPoints is the number of output points to be computed.    
- * @param[in]      *pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.    
- * @param[in]      *pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).    
- * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].    
- *    
- * \par Restrictions    
- *  If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE    
- *	In this case input, output, scratch1 and scratch2 buffers should be aligned by 32-bit   
- * 
- *
- * 
- */
-
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-arm_status arm_conv_partial_opt_q7(
-  q7_t * pSrcA,
-  uint32_t srcALen,
-  q7_t * pSrcB,
-  uint32_t srcBLen,
-  q7_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints,
-  q15_t * pScratch1,
-  q15_t * pScratch2)
-{
-
-  q15_t *pScr2, *pScr1;                          /* Intermediate pointers for scratch pointers */
-  q15_t x4;                                      /* Temporary input variable */
-  q7_t *pIn1, *pIn2;                             /* inputA and inputB pointer */
-  uint32_t j, k, blkCnt, tapCnt;                 /* loop counter */
-  q7_t *px;                                      /* Temporary input1 pointer */
-  q15_t *py;                                     /* Temporary input2 pointer */
-  q31_t acc0, acc1, acc2, acc3;                  /* Accumulator */
-  q31_t x1, x2, x3, y1;                          /* Temporary input variables */
-  arm_status status;
-  q7_t *pOut = pDst;                             /* output pointer */
-  q7_t out0, out1, out2, out3;                   /* temporary variables */
-
-  /* Check for range of output samples to be calculated */
-  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
-  {
-    /* Set status as ARM_MATH_ARGUMENT_ERROR */
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-  else
-  {
-
-    /* The algorithm implementation is based on the lengths of the inputs. */
-    /* srcB is always made to slide across srcA. */
-    /* So srcBLen is always considered as shorter or equal to srcALen */
-    if(srcALen >= srcBLen)
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcA;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcB;
-    }
-    else
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcB;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcA;
-
-      /* srcBLen is always considered as shorter or equal to srcALen */
-      j = srcBLen;
-      srcBLen = srcALen;
-      srcALen = j;
-    }
-
-    /* pointer to take end of scratch2 buffer */
-    pScr2 = pScratch2;
-
-    /* points to smaller length sequence */
-    px = pIn2 + srcBLen - 1;
-
-    /* Apply loop unrolling and do 4 Copies simultaneously. */
-    k = srcBLen >> 2u;
-
-    /* First part of the processing with loop unrolling copies 4 data points at a time.       
-     ** a second loop below copies for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner */
-      x4 = (q15_t) * px--;
-      *pScr2++ = x4;
-      x4 = (q15_t) * px--;
-      *pScr2++ = x4;
-      x4 = (q15_t) * px--;
-      *pScr2++ = x4;
-      x4 = (q15_t) * px--;
-      *pScr2++ = x4;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, copy remaining samples here.       
-     ** No loop unrolling is used. */
-    k = srcBLen % 0x4u;
-
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner for remaining samples */
-      x4 = (q15_t) * px--;
-      *pScr2++ = x4;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Initialze temporary scratch pointer */
-    pScr1 = pScratch1;
-
-    /* Fill (srcBLen - 1u) zeros in scratch buffer */
-    arm_fill_q15(0, pScr1, (srcBLen - 1u));
-
-    /* Update temporary scratch pointer */
-    pScr1 += (srcBLen - 1u);
-
-    /* Copy (srcALen) samples in scratch buffer */
-    /* Apply loop unrolling and do 4 Copies simultaneously. */
-    k = srcALen >> 2u;
-
-    /* First part of the processing with loop unrolling copies 4 data points at a time.       
-     ** a second loop below copies for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner */
-      x4 = (q15_t) * pIn1++;
-      *pScr1++ = x4;
-      x4 = (q15_t) * pIn1++;
-      *pScr1++ = x4;
-      x4 = (q15_t) * pIn1++;
-      *pScr1++ = x4;
-      x4 = (q15_t) * pIn1++;
-      *pScr1++ = x4;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, copy remaining samples here.       
-     ** No loop unrolling is used. */
-    k = srcALen % 0x4u;
-
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner for remaining samples */
-      x4 = (q15_t) * pIn1++;
-      *pScr1++ = x4;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Fill (srcBLen - 1u) zeros at end of scratch buffer */
-    arm_fill_q15(0, pScr1, (srcBLen - 1u));
-
-    /* Update pointer */
-    pScr1 += (srcBLen - 1u);
-
-
-    /* Temporary pointer for scratch2 */
-    py = pScratch2;
-
-    /* Initialization of pIn2 pointer */
-    pIn2 = (q7_t *) py;
-
-    pScr2 = py;
-
-    pOut = pDst + firstIndex;
-
-    pScratch1 += firstIndex;
-
-    /* Actual convolution process starts here */
-    blkCnt = (numPoints) >> 2;
-
-
-    while(blkCnt > 0)
-    {
-      /* Initialze temporary scratch pointer as scratch1 */
-      pScr1 = pScratch1;
-
-      /* Clear Accumlators */
-      acc0 = 0;
-      acc1 = 0;
-      acc2 = 0;
-      acc3 = 0;
-
-      /* Read two samples from scratch1 buffer */
-      x1 = *__SIMD32(pScr1)++;
-
-      /* Read next two samples from scratch1 buffer */
-      x2 = *__SIMD32(pScr1)++;
-
-      tapCnt = (srcBLen) >> 2u;
-
-      while(tapCnt > 0u)
-      {
-
-        /* Read four samples from smaller buffer */
-        y1 = _SIMD32_OFFSET(pScr2);
-
-        /* multiply and accumlate */
-        acc0 = __SMLAD(x1, y1, acc0);
-        acc2 = __SMLAD(x2, y1, acc2);
-
-        /* pack input data */
-#ifndef ARM_MATH_BIG_ENDIAN
-        x3 = __PKHBT(x2, x1, 0);
-#else
-        x3 = __PKHBT(x1, x2, 0);
-#endif
-
-        /* multiply and accumlate */
-        acc1 = __SMLADX(x3, y1, acc1);
-
-        /* Read next two samples from scratch1 buffer */
-        x1 = *__SIMD32(pScr1)++;
-
-        /* pack input data */
-#ifndef ARM_MATH_BIG_ENDIAN
-        x3 = __PKHBT(x1, x2, 0);
-#else
-        x3 = __PKHBT(x2, x1, 0);
-#endif
-
-        acc3 = __SMLADX(x3, y1, acc3);
-
-        /* Read four samples from smaller buffer */
-        y1 = _SIMD32_OFFSET(pScr2 + 2u);
-
-        acc0 = __SMLAD(x2, y1, acc0);
-
-        acc2 = __SMLAD(x1, y1, acc2);
-
-        acc1 = __SMLADX(x3, y1, acc1);
-
-        x2 = *__SIMD32(pScr1)++;
-
-#ifndef ARM_MATH_BIG_ENDIAN
-        x3 = __PKHBT(x2, x1, 0);
-#else
-        x3 = __PKHBT(x1, x2, 0);
-#endif
-
-        acc3 = __SMLADX(x3, y1, acc3);
-
-        pScr2 += 4u;
-
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-
-
-      /* Update scratch pointer for remaining samples of smaller length sequence */
-      pScr1 -= 4u;
-
-
-      /* apply same above for remaining samples of smaller length sequence */
-      tapCnt = (srcBLen) & 3u;
-
-      while(tapCnt > 0u)
-      {
-
-        /* accumlate the results */
-        acc0 += (*pScr1++ * *pScr2);
-        acc1 += (*pScr1++ * *pScr2);
-        acc2 += (*pScr1++ * *pScr2);
-        acc3 += (*pScr1++ * *pScr2++);
-
-        pScr1 -= 3u;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      blkCnt--;
-
-      /* Store the result in the accumulator in the destination buffer. */
-      out0 = (q7_t) (__SSAT(acc0 >> 7u, 8));
-      out1 = (q7_t) (__SSAT(acc1 >> 7u, 8));
-      out2 = (q7_t) (__SSAT(acc2 >> 7u, 8));
-      out3 = (q7_t) (__SSAT(acc3 >> 7u, 8));
-
-      *__SIMD32(pOut)++ = __PACKq7(out0, out1, out2, out3);
-
-      /* Initialization of inputB pointer */
-      pScr2 = py;
-
-      pScratch1 += 4u;
-
-    }
-
-    blkCnt = (numPoints) & 0x3;
-
-    /* Calculate convolution for remaining samples of Bigger length sequence */
-    while(blkCnt > 0)
-    {
-      /* Initialze temporary scratch pointer as scratch1 */
-      pScr1 = pScratch1;
-
-      /* Clear Accumlators */
-      acc0 = 0;
-
-      tapCnt = (srcBLen) >> 1u;
-
-      while(tapCnt > 0u)
-      {
-
-        /* Read next two samples from scratch1 buffer */
-        x1 = *__SIMD32(pScr1)++;
-
-        /* Read two samples from smaller buffer */
-        y1 = *__SIMD32(pScr2)++;
-
-        acc0 = __SMLAD(x1, y1, acc0);
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      tapCnt = (srcBLen) & 1u;
-
-      /* apply same above for remaining samples of smaller length sequence */
-      while(tapCnt > 0u)
-      {
-
-        /* accumlate the results */
-        acc0 += (*pScr1++ * *pScr2++);
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      blkCnt--;
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q7_t) (__SSAT(acc0 >> 7u, 8));
-
-      /* Initialization of inputB pointer */
-      pScr2 = py;
-
-      pScratch1 += 1u;
-
-    }
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-
-
-  }
-
-  return (status);
-
-}
-
-#else
-
-arm_status arm_conv_partial_opt_q7(
-  q7_t * pSrcA,
-  uint32_t srcALen,
-  q7_t * pSrcB,
-  uint32_t srcBLen,
-  q7_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints,
-  q15_t * pScratch1,
-  q15_t * pScratch2)
-{
-
-  q15_t *pScr2, *pScr1;                          /* Intermediate pointers for scratch pointers */
-  q15_t x4;                                      /* Temporary input variable */
-  q7_t *pIn1, *pIn2;                             /* inputA and inputB pointer */
-  uint32_t j, k, blkCnt, tapCnt;                 /* loop counter */
-  q7_t *px;                                      /* Temporary input1 pointer */
-  q15_t *py;                                     /* Temporary input2 pointer */
-  q31_t acc0, acc1, acc2, acc3;                  /* Accumulator */
-  arm_status status;
-  q7_t *pOut = pDst;                             /* output pointer */
-  q15_t x10, x11, x20, x21;                      /* Temporary input variables */
-  q15_t y10, y11;                                /* Temporary input variables */
-  q7_t out0, out1, out2, out3;                   /* temporary variables */
-
-  /* Check for range of output samples to be calculated */
-  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
-  {
-    /* Set status as ARM_MATH_ARGUMENT_ERROR */
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-  else
-  {
-
-    /* The algorithm implementation is based on the lengths of the inputs. */
-    /* srcB is always made to slide across srcA. */
-    /* So srcBLen is always considered as shorter or equal to srcALen */
-    if(srcALen >= srcBLen)
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcA;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcB;
-    }
-    else
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcB;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcA;
-
-      /* srcBLen is always considered as shorter or equal to srcALen */
-      j = srcBLen;
-      srcBLen = srcALen;
-      srcALen = j;
-    }
-
-    /* pointer to take end of scratch2 buffer */
-    pScr2 = pScratch2;
-
-    /* points to smaller length sequence */
-    px = pIn2 + srcBLen - 1;
-
-    /* Apply loop unrolling and do 4 Copies simultaneously. */
-    k = srcBLen >> 2u;
-
-    /* First part of the processing with loop unrolling copies 4 data points at a time.       
-     ** a second loop below copies for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner */
-      x4 = (q15_t) * px--;
-      *pScr2++ = x4;
-      x4 = (q15_t) * px--;
-      *pScr2++ = x4;
-      x4 = (q15_t) * px--;
-      *pScr2++ = x4;
-      x4 = (q15_t) * px--;
-      *pScr2++ = x4;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, copy remaining samples here.       
-     ** No loop unrolling is used. */
-    k = srcBLen % 0x4u;
-
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner for remaining samples */
-      x4 = (q15_t) * px--;
-      *pScr2++ = x4;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Initialze temporary scratch pointer */
-    pScr1 = pScratch1;
-
-    /* Fill (srcBLen - 1u) zeros in scratch buffer */
-    arm_fill_q15(0, pScr1, (srcBLen - 1u));
-
-    /* Update temporary scratch pointer */
-    pScr1 += (srcBLen - 1u);
-
-    /* Copy (srcALen) samples in scratch buffer */
-    /* Apply loop unrolling and do 4 Copies simultaneously. */
-    k = srcALen >> 2u;
-
-    /* First part of the processing with loop unrolling copies 4 data points at a time.       
-     ** a second loop below copies for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner */
-      x4 = (q15_t) * pIn1++;
-      *pScr1++ = x4;
-      x4 = (q15_t) * pIn1++;
-      *pScr1++ = x4;
-      x4 = (q15_t) * pIn1++;
-      *pScr1++ = x4;
-      x4 = (q15_t) * pIn1++;
-      *pScr1++ = x4;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, copy remaining samples here.       
-     ** No loop unrolling is used. */
-    k = srcALen % 0x4u;
-
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner for remaining samples */
-      x4 = (q15_t) * pIn1++;
-      *pScr1++ = x4;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Apply loop unrolling and do 4 Copies simultaneously. */
-    k = (srcBLen - 1u) >> 2u;
-
-    /* First part of the processing with loop unrolling copies 4 data points at a time.       
-     ** a second loop below copies for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner */
-      *pScr1++ = 0;
-      *pScr1++ = 0;
-      *pScr1++ = 0;
-      *pScr1++ = 0;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, copy remaining samples here.       
-     ** No loop unrolling is used. */
-    k = (srcBLen - 1u) % 0x4u;
-
-    while(k > 0u)
-    {
-      /* copy second buffer in reversal manner for remaining samples */
-      *pScr1++ = 0;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-
-    /* Temporary pointer for scratch2 */
-    py = pScratch2;
-
-    /* Initialization of pIn2 pointer */
-    pIn2 = (q7_t *) py;
-
-    pScr2 = py;
-
-    pOut = pDst + firstIndex;
-
-    pScratch1 += firstIndex;
-
-    /* Actual convolution process starts here */
-    blkCnt = (numPoints) >> 2;
-
-
-    while(blkCnt > 0)
-    {
-      /* Initialze temporary scratch pointer as scratch1 */
-      pScr1 = pScratch1;
-
-      /* Clear Accumlators */
-      acc0 = 0;
-      acc1 = 0;
-      acc2 = 0;
-      acc3 = 0;
-
-      /* Read two samples from scratch1 buffer */
-      x10 = *pScr1++;
-      x11 = *pScr1++;
-
-      /* Read next two samples from scratch1 buffer */
-      x20 = *pScr1++;
-      x21 = *pScr1++;
-
-      tapCnt = (srcBLen) >> 2u;
-
-      while(tapCnt > 0u)
-      {
-
-        /* Read four samples from smaller buffer */
-        y10 = *pScr2;
-        y11 = *(pScr2 + 1u);
-
-        /* multiply and accumlate */
-        acc0 += (q31_t) x10 *y10;
-        acc0 += (q31_t) x11 *y11;
-        acc2 += (q31_t) x20 *y10;
-        acc2 += (q31_t) x21 *y11;
-
-
-        acc1 += (q31_t) x11 *y10;
-        acc1 += (q31_t) x20 *y11;
-
-        /* Read next two samples from scratch1 buffer */
-        x10 = *pScr1;
-        x11 = *(pScr1 + 1u);
-
-        /* multiply and accumlate */
-        acc3 += (q31_t) x21 *y10;
-        acc3 += (q31_t) x10 *y11;
-
-        /* Read next two samples from scratch2 buffer */
-        y10 = *(pScr2 + 2u);
-        y11 = *(pScr2 + 3u);
-
-        /* multiply and accumlate */
-        acc0 += (q31_t) x20 *y10;
-        acc0 += (q31_t) x21 *y11;
-        acc2 += (q31_t) x10 *y10;
-        acc2 += (q31_t) x11 *y11;
-        acc1 += (q31_t) x21 *y10;
-        acc1 += (q31_t) x10 *y11;
-
-        /* Read next two samples from scratch1 buffer */
-        x20 = *(pScr1 + 2);
-        x21 = *(pScr1 + 3);
-
-        /* multiply and accumlate */
-        acc3 += (q31_t) x11 *y10;
-        acc3 += (q31_t) x20 *y11;
-
-        /* update scratch pointers */
-
-        pScr1 += 4u;
-        pScr2 += 4u;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-
-
-      /* Update scratch pointer for remaining samples of smaller length sequence */
-      pScr1 -= 4u;
-
-
-      /* apply same above for remaining samples of smaller length sequence */
-      tapCnt = (srcBLen) & 3u;
-
-      while(tapCnt > 0u)
-      {
-
-        /* accumlate the results */
-        acc0 += (*pScr1++ * *pScr2);
-        acc1 += (*pScr1++ * *pScr2);
-        acc2 += (*pScr1++ * *pScr2);
-        acc3 += (*pScr1++ * *pScr2++);
-
-        pScr1 -= 3u;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      blkCnt--;
-
-      /* Store the result in the accumulator in the destination buffer. */
-      out0 = (q7_t) (__SSAT(acc0 >> 7u, 8));
-      out1 = (q7_t) (__SSAT(acc1 >> 7u, 8));
-      out2 = (q7_t) (__SSAT(acc2 >> 7u, 8));
-      out3 = (q7_t) (__SSAT(acc3 >> 7u, 8));
-
-
-      *__SIMD32(pOut)++ = __PACKq7(out0, out1, out2, out3);
-
-      /* Initialization of inputB pointer */
-      pScr2 = py;
-
-      pScratch1 += 4u;
-
-    }
-
-    blkCnt = (numPoints) & 0x3;
-
-    /* Calculate convolution for remaining samples of Bigger length sequence */
-    while(blkCnt > 0)
-    {
-      /* Initialze temporary scratch pointer as scratch1 */
-      pScr1 = pScratch1;
-
-      /* Clear Accumlators */
-      acc0 = 0;
-
-      tapCnt = (srcBLen) >> 1u;
-
-      while(tapCnt > 0u)
-      {
-
-        /* Read next two samples from scratch1 buffer */
-        x10 = *pScr1++;
-        x11 = *pScr1++;
-
-        /* Read two samples from smaller buffer */
-        y10 = *pScr2++;
-        y11 = *pScr2++;
-
-        /* multiply and accumlate */
-        acc0 += (q31_t) x10 *y10;
-        acc0 += (q31_t) x11 *y11;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      tapCnt = (srcBLen) & 1u;
-
-      /* apply same above for remaining samples of smaller length sequence */
-      while(tapCnt > 0u)
-      {
-
-        /* accumlate the results */
-        acc0 += (*pScr1++ * *pScr2++);
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      blkCnt--;
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q7_t) (__SSAT(acc0 >> 7u, 8));
-
-      /* Initialization of inputB pointer */
-      pScr2 = py;
-
-      pScratch1 += 1u;
-
-    }
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-
-  }
-
-  return (status);
-
-}
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-
-
-/**    
- * @} end of PartialConv group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_q15.c
deleted file mode 100644
index 8c7ed5f86..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_q15.c
+++ /dev/null
@@ -1,778 +0,0 @@
-/* ----------------------------------------------------------------------   
-* Copyright (C) 2010 ARM Limited. All rights reserved.   
-*   
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*   
-* Project: 	    CMSIS DSP Library   
-* Title:		arm_conv_partial_q15.c   
-*   
-* Description:	Partial convolution of Q15 sequences.  
-*   
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-* 
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*  
-* Version 1.0.11 2011/10/18 
-*    Bug Fix in conv, correlation, partial convolution. 
-*
-* Version 1.0.10 2011/7/15 
-*    Big Endian support added and Merged M0 and M3/M4 Source code.  
-*   
-* Version 1.0.3 2010/11/29  
-*    Re-organized the CMSIS folders and updated documentation.   
-*    
-* Version 1.0.2 2010/11/11   
-*    Documentation updated.    
-*   
-* Version 1.0.1 2010/10/05    
-*    Production release and review comments incorporated.   
-*   
-* Version 1.0.0 2010/09/20    
-*    Production release and review comments incorporated   
-*   
-* Version 0.0.7  2010/06/10    
-*    Misra-C changes done   
-*   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**   
- * @ingroup groupFilters   
- */
-
-/**   
- * @addtogroup PartialConv   
- * @{   
- */
-
-/**   
- * @brief Partial convolution of Q15 sequences.   
- * @param[in]       *pSrcA points to the first input sequence.   
- * @param[in]       srcALen length of the first input sequence.   
- * @param[in]       *pSrcB points to the second input sequence.   
- * @param[in]       srcBLen length of the second input sequence.   
- * @param[out]      *pDst points to the location where the output result is written.   
- * @param[in]       firstIndex is the first output sample to start with.   
- * @param[in]       numPoints is the number of output points to be computed.   
- * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].   
- *   
- * Refer to arm_conv_partial_fast_q15() for a faster but less precise version of this function for Cortex-M3 and Cortex-M4.  
- * 
- * \par    
- * Refer the function arm_conv_partial_opt_q15() for a faster implementation of this function using scratch buffers.
- * 
- */
-
-
-arm_status arm_conv_partial_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints)
-{
-
-#if (defined(ARM_MATH_CM4) || defined(ARM_MATH_CM3)) && !defined(UNALIGNED_SUPPORT_DISABLE)
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q15_t *pIn1;                                   /* inputA pointer               */
-  q15_t *pIn2;                                   /* inputB pointer               */
-  q15_t *pOut = pDst;                            /* output pointer               */
-  q63_t sum, acc0, acc1, acc2, acc3;             /* Accumulator                  */
-  q15_t *px;                                     /* Intermediate inputA pointer  */
-  q15_t *py;                                     /* Intermediate inputB pointer  */
-  q15_t *pSrc1, *pSrc2;                          /* Intermediate pointers        */
-  q31_t x0, x1, x2, x3, c0;                      /* Temporary input variables */
-  uint32_t j, k, count, check, blkCnt;
-  int32_t blockSize1, blockSize2, blockSize3;    /* loop counter                 */
-  arm_status status;                             /* status of Partial convolution */
-
-  /* Check for range of output samples to be calculated */
-  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
-  {
-    /* Set status as ARM_MATH_ARGUMENT_ERROR */
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-  else
-  {
-
-    /* The algorithm implementation is based on the lengths of the inputs. */
-    /* srcB is always made to slide across srcA. */
-    /* So srcBLen is always considered as shorter or equal to srcALen */
-    if(srcALen >= srcBLen)
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcA;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcB;
-    }
-    else
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcB;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcA;
-
-      /* srcBLen is always considered as shorter or equal to srcALen */
-      j = srcBLen;
-      srcBLen = srcALen;
-      srcALen = j;
-    }
-
-    /* Conditions to check which loopCounter holds   
-     * the first and last indices of the output samples to be calculated. */
-    check = firstIndex + numPoints;
-    blockSize3 = ((int32_t) check - (int32_t) srcALen);
-    blockSize3 = (blockSize3 > 0) ? blockSize3 : 0;
-    blockSize1 = (((int32_t) srcBLen - 1) - (int32_t) firstIndex);
-    blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1u)) ? blockSize1 :
-                                     (int32_t) numPoints) : 0;
-    blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) +
-                                    (int32_t) firstIndex);
-    blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
-
-    /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
-    /* The function is internally   
-     * divided into three stages according to the number of multiplications that has to be   
-     * taken place between inputA samples and inputB samples. In the first stage of the   
-     * algorithm, the multiplications increase by one for every iteration.   
-     * In the second stage of the algorithm, srcBLen number of multiplications are done.   
-     * In the third stage of the algorithm, the multiplications decrease by one   
-     * for every iteration. */
-
-    /* Set the output pointer to point to the firstIndex   
-     * of the output sample to be calculated. */
-    pOut = pDst + firstIndex;
-
-    /* --------------------------   
-     * Initializations of stage1   
-     * -------------------------*/
-
-    /* sum = x[0] * y[0]   
-     * sum = x[0] * y[1] + x[1] * y[0]   
-     * ....   
-     * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]   
-     */
-
-    /* In this stage the MAC operations are increased by 1 for every iteration.   
-       The count variable holds the number of MAC operations performed.   
-       Since the partial convolution starts from firstIndex   
-       Number of Macs to be performed is firstIndex + 1 */
-    count = 1u + firstIndex;
-
-    /* Working pointer of inputA */
-    px = pIn1;
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + firstIndex;
-    py = pSrc2;
-
-    /* ------------------------   
-     * Stage1 process   
-     * ----------------------*/
-
-    /* For loop unrolling by 4, this stage is divided into two. */
-    /* First part of this stage computes the MAC operations less than 4 */
-    /* Second part of this stage computes the MAC operations greater than or equal to 4 */
-
-    /* The first part of the stage starts here */
-    while((count < 4u) && (blockSize1 > 0))
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Loop over number of MAC operations between   
-       * inputA samples and inputB samples */
-      k = count;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum = __SMLALD(*px++, *py--, sum);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      py = ++pSrc2;
-      px = pIn1;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Decrement the loop counter */
-      blockSize1--;
-    }
-
-    /* The second part of the stage starts here */
-    /* The internal loop, over count, is unrolled by 4 */
-    /* To, read the last two inputB samples using SIMD:   
-     * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */
-    py = py - 1;
-
-    while(blockSize1 > 0)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = count >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        /* x[0], x[1] are multiplied with y[srcBLen - 1], y[srcBLen - 2] respectively */
-        sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
-        /* x[2], x[3] are multiplied with y[srcBLen - 3], y[srcBLen - 4] respectively */
-        sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* For the next MAC operations, the pointer py is used without SIMD   
-       * So, py is incremented by 1 */
-      py = py + 1u;
-
-      /* If the count is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = count % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum = __SMLALD(*px++, *py--, sum);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      py = ++pSrc2 - 1u;
-      px = pIn1;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Decrement the loop counter */
-      blockSize1--;
-    }
-
-    /* --------------------------   
-     * Initializations of stage2   
-     * ------------------------*/
-
-    /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]   
-     * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]   
-     * ....   
-     * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]   
-     */
-
-    /* Working pointer of inputA */
-    px = pIn1;
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + (srcBLen - 1u);
-    py = pSrc2;
-
-  /* count is the index by which the pointer pIn1 to be incremented */
-  count = 0u;
-
-
-  /* --------------------   
-   * Stage2 process   
-   * -------------------*/
-
-  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.   
-   * So, to loop unroll over blockSize2,   
-   * srcBLen should be greater than or equal to 4 */
-  if(srcBLen >= 4u)
-  {
-    /* Loop unroll over blockSize2, by 4 */
-    blkCnt = blockSize2 >> 2u;
-
-    while(blkCnt > 0u)
-    {
-      py = py - 1u;
-
-      /* Set all accumulators to zero */
-      acc0 = 0;
-      acc1 = 0;
-      acc2 = 0;
-      acc3 = 0;
-
-
-      /* read x[0], x[1] samples */
-      x0 = *__SIMD32(px);
-      /* read x[1], x[2] samples */
-      x1 = _SIMD32_OFFSET(px+1);
-	  px+= 2u;
-
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      do
-      {
-        /* Read the last two inputB samples using SIMD:   
-         * y[srcBLen - 1] and y[srcBLen - 2] */
-        c0 = *__SIMD32(py)--;
-
-        /* acc0 +=  x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */
-        acc0 = __SMLALDX(x0, c0, acc0);
-
-        /* acc1 +=  x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */
-        acc1 = __SMLALDX(x1, c0, acc1);
-
-        /* Read x[2], x[3] */
-        x2 = *__SIMD32(px);
-
-        /* Read x[3], x[4] */
-        x3 = _SIMD32_OFFSET(px+1);
-
-        /* acc2 +=  x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */
-        acc2 = __SMLALDX(x2, c0, acc2);
-
-        /* acc3 +=  x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */
-        acc3 = __SMLALDX(x3, c0, acc3);
-
-        /* Read y[srcBLen - 3] and y[srcBLen - 4] */
-        c0 = *__SIMD32(py)--;
-
-        /* acc0 +=  x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */
-        acc0 = __SMLALDX(x2, c0, acc0);
-
-        /* acc1 +=  x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */
-        acc1 = __SMLALDX(x3, c0, acc1);
-
-        /* Read x[4], x[5] */
-        x0 = _SIMD32_OFFSET(px+2);
-
-        /* Read x[5], x[6] */
-        x1 = _SIMD32_OFFSET(px+3);
-		px += 4u;
-
-        /* acc2 +=  x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */
-        acc2 = __SMLALDX(x0, c0, acc2);
-
-        /* acc3 +=  x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */
-        acc3 = __SMLALDX(x1, c0, acc3);
-
-      } while(--k);
-
-      /* For the next MAC operations, SIMD is not used   
-       * So, the 16 bit pointer if inputB, py is updated */
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      if(k == 1u)
-      {
-        /* Read y[srcBLen - 5] */
-        c0 = *(py+1);
-
-#ifdef  ARM_MATH_BIG_ENDIAN
-
-        c0 = c0 << 16u;
-
-#else
-
-        c0 = c0 & 0x0000FFFF;
-
-#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
-
-        /* Read x[7] */
-        x3 = *__SIMD32(px);
-		px++;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLALD(x0, c0, acc0);
-        acc1 = __SMLALD(x1, c0, acc1);
-        acc2 = __SMLALDX(x1, c0, acc2);
-        acc3 = __SMLALDX(x3, c0, acc3);
-      }
-
-      if(k == 2u)
-      {
-        /* Read y[srcBLen - 5], y[srcBLen - 6] */
-        c0 = _SIMD32_OFFSET(py);
-
-        /* Read x[7], x[8] */
-        x3 = *__SIMD32(px);
-
-        /* Read x[9] */
-        x2 = _SIMD32_OFFSET(px+1);
-		px += 2u;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLALDX(x0, c0, acc0);
-        acc1 = __SMLALDX(x1, c0, acc1);
-        acc2 = __SMLALDX(x3, c0, acc2);
-        acc3 = __SMLALDX(x2, c0, acc3);
-      }
-
-      if(k == 3u)
-      {
-        /* Read y[srcBLen - 5], y[srcBLen - 6] */
-        c0 = _SIMD32_OFFSET(py);
-
-        /* Read x[7], x[8] */
-        x3 = *__SIMD32(px);
-
-        /* Read x[9] */
-        x2 = _SIMD32_OFFSET(px+1);
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLALDX(x0, c0, acc0);
-        acc1 = __SMLALDX(x1, c0, acc1);
-        acc2 = __SMLALDX(x3, c0, acc2);
-        acc3 = __SMLALDX(x2, c0, acc3);
-
-		c0 = *(py-1);
-
-#ifdef  ARM_MATH_BIG_ENDIAN
-
-        c0 = c0 << 16u;
-#else
-
-        c0 = c0 & 0x0000FFFF;
-#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
-
-        /* Read x[10] */
-        x3 =  _SIMD32_OFFSET(px+2);
-		px += 3u;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLALDX(x1, c0, acc0);
-        acc1 = __SMLALD(x2, c0, acc1);
-        acc2 = __SMLALDX(x2, c0, acc2);
-        acc3 = __SMLALDX(x3, c0, acc3);
-      }
-
-
-      /* Store the results in the accumulators in the destination buffer. */
-
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-      *__SIMD32(pOut)++ =
-        __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16);
-      *__SIMD32(pOut)++ =
-        __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16);
-
-#else
-
-      *__SIMD32(pOut)++ =
-        __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16);
-      *__SIMD32(pOut)++ =
-        __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16);
-
-#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-      /* Increment the pointer pIn1 index, count by 4 */
-      count += 4u;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-
-      /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.   
-       ** No loop unrolling is used. */
-      blkCnt = (uint32_t) blockSize2 % 0x4u;
-  	  
-      while(blkCnt > 0u)
-      {
-        /* Accumulator is made zero for every iteration */
-        sum = 0;
-
-        /* Apply loop unrolling and compute 4 MACs simultaneously. */
-        k = srcBLen >> 2u;
-
-        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-         ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulates */
-          sum += (q63_t) ((q31_t) * px++ * *py--);
-          sum += (q63_t) ((q31_t) * px++ * *py--);
-          sum += (q63_t) ((q31_t) * px++ * *py--);
-          sum += (q63_t) ((q31_t) * px++ * *py--);
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-         ** No loop unrolling is used. */
-        k = srcBLen % 0x4u;
-
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulates */
-          sum += (q63_t) ((q31_t) * px++ * *py--);
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* Store the result in the accumulator in the destination buffer. */
-        *pOut++ = (q15_t) (__SSAT(sum >> 15, 16));
-
-        /* Increment the pointer pIn1 index, count by 1 */
-        count++;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-        px = pIn1 + count;
-        py = pSrc2;
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-    }
-    else
-    {
-      /* If the srcBLen is not a multiple of 4,   
-       * the blockSize2 loop cannot be unrolled by 4 */
-      blkCnt = (uint32_t) blockSize2;
-
-      while(blkCnt > 0u)
-      {
-        /* Accumulator is made zero for every iteration */
-        sum = 0;
-
-        /* srcBLen number of MACS should be performed */
-        k = srcBLen;
-
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulate */
-          sum += (q63_t) ((q31_t) * px++ * *py--);
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* Store the result in the accumulator in the destination buffer. */
-        *pOut++ = (q15_t) (__SSAT(sum >> 15, 16));
-
-        /* Increment the MAC count */
-        count++;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-        px = pIn1 + count;
-        py = pSrc2;
-  
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-    }
-
-
-    /* --------------------------   
-     * Initializations of stage3   
-     * -------------------------*/
-
-    /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]   
-     * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]   
-     * ....   
-     * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]   
-     * sum +=  x[srcALen-1] * y[srcBLen-1]   
-     */
-
-    /* In this stage the MAC operations are decreased by 1 for every iteration.   
-       The count variable holds the number of MAC operations performed */
-    count = srcBLen - 1u;
-
-    /* Working pointer of inputA */
-    pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
-    px = pSrc1;
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + (srcBLen - 1u);
-    pIn2 = pSrc2 - 1u;
-    py = pIn2;
-
-    /* -------------------   
-     * Stage3 process   
-     * ------------------*/
-
-    /* For loop unrolling by 4, this stage is divided into two. */
-    /* First part of this stage computes the MAC operations greater than 4 */
-    /* Second part of this stage computes the MAC operations less than or equal to 4 */
-
-    /* The first part of the stage starts here */
-    j = count >> 2u;
-
-    while((j > 0u) && (blockSize3 > 0))
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = count >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* x[srcALen - srcBLen + 1], x[srcALen - srcBLen + 2] are multiplied   
-         * with y[srcBLen - 1], y[srcBLen - 2] respectively */
-        sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
-        /* x[srcALen - srcBLen + 3], x[srcALen - srcBLen + 4] are multiplied   
-         * with y[srcBLen - 3], y[srcBLen - 4] respectively */
-        sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* For the next MAC operations, the pointer py is used without SIMD   
-       * So, py is incremented by 1 */
-      py = py + 1u;
-
-      /* If the count is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = count % 0x4u;
-
-      while(k > 0u)
-      {
-        /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */
-        sum = __SMLALD(*px++, *py--, sum);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = ++pSrc1;
-      py = pIn2;
-
-      /* Decrement the MAC count */
-      count--;
-
-      /* Decrement the loop counter */
-      blockSize3--;
-
-      j--;
-    }
-
-    /* The second part of the stage starts here */
-    /* SIMD is not used for the next MAC operations,   
-     * so pointer py is updated to read only one sample at a time */
-    py = py + 1u;
-
-    while(blockSize3 > 0)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = count;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        /* sum +=  x[srcALen-1] * y[srcBLen-1] */
-        sum = __SMLALD(*px++, *py--, sum);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = ++pSrc1;
-      py = pSrc2;
-
-      /* Decrement the MAC count */
-      count--;
-
-      /* Decrement the loop counter */
-      blockSize3--;
-    }
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  q15_t *pIn1 = pSrcA;                           /* inputA pointer */
-  q15_t *pIn2 = pSrcB;                           /* inputB pointer */
-  q63_t sum;                                     /* Accumulator */
-  uint32_t i, j;                                 /* loop counters */
-  arm_status status;                             /* status of Partial convolution */
-
-  /* Check for range of output samples to be calculated */
-  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
-  {
-    /* Set status as ARM_ARGUMENT_ERROR */
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-  else
-  {
-    /* Loop to calculate convolution for output length number of values */
-    for (i = firstIndex; i <= (firstIndex + numPoints - 1); i++)
-    {
-      /* Initialize sum with zero to carry on MAC operations */
-      sum = 0;
-
-      /* Loop to perform MAC operations according to convolution equation */
-      for (j = 0; j <= i; j++)
-      {
-        /* Check the array limitations */
-        if(((i - j) < srcBLen) && (j < srcALen))
-        {
-          /* z[i] += x[i-j] * y[j] */
-          sum += ((q31_t) pIn1[j] * (pIn2[i - j]));
-        }
-      }
-
-      /* Store the output in the destination buffer */
-      pDst[i] = (q15_t) __SSAT((sum >> 15u), 16u);
-    }
-    /* set status as ARM_SUCCESS as there are no argument errors */
-    status = ARM_MATH_SUCCESS;
-  }
-  return (status);
-
-#endif /* #if (defined(ARM_MATH_CM4) || defined(ARM_MATH_CM3)) && !defined(UNALIGNED_SUPPORT_DISABLE)  */
-
-}
-
-/**   
- * @} end of PartialConv group   
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_q31.c
deleted file mode 100644
index 16a060648..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_q31.c
+++ /dev/null
@@ -1,599 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_conv_partial_q31.c    
-*    
-* Description:	Partial convolution of Q31 sequences.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*  
-* Version 1.0.11 2011/10/18  
-*    Bug Fix in conv, correlation, partial convolution.  
-* 
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-*    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup PartialConv    
- * @{    
- */
-
-/**    
- * @brief Partial convolution of Q31 sequences.    
- * @param[in]       *pSrcA points to the first input sequence.    
- * @param[in]       srcALen length of the first input sequence.    
- * @param[in]       *pSrcB points to the second input sequence.    
- * @param[in]       srcBLen length of the second input sequence.    
- * @param[out]      *pDst points to the location where the output result is written.    
- * @param[in]       firstIndex is the first output sample to start with.    
- * @param[in]       numPoints is the number of output points to be computed.    
- * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].    
- *    
- * See arm_conv_partial_fast_q31() for a faster but less precise implementation of this function for Cortex-M3 and Cortex-M4.    
- */
-
-arm_status arm_conv_partial_q31(
-  q31_t * pSrcA,
-  uint32_t srcALen,
-  q31_t * pSrcB,
-  uint32_t srcBLen,
-  q31_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints)
-{
-
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q31_t *pIn1;                                   /* inputA pointer               */
-  q31_t *pIn2;                                   /* inputB pointer               */
-  q31_t *pOut = pDst;                            /* output pointer               */
-  q31_t *px;                                     /* Intermediate inputA pointer  */
-  q31_t *py;                                     /* Intermediate inputB pointer  */
-  q31_t *pSrc1, *pSrc2;                          /* Intermediate pointers        */
-  q63_t sum, acc0, acc1, acc2;                   /* Accumulator                  */
-  q31_t x0, x1, x2, c0;
-  uint32_t j, k, count, check, blkCnt;
-  int32_t blockSize1, blockSize2, blockSize3;    /* loop counter                 */
-  arm_status status;                             /* status of Partial convolution */
-
-
-  /* Check for range of output samples to be calculated */
-  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
-  {
-    /* Set status as ARM_MATH_ARGUMENT_ERROR */
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-  else
-  {
-
-    /* The algorithm implementation is based on the lengths of the inputs. */
-    /* srcB is always made to slide across srcA. */
-    /* So srcBLen is always considered as shorter or equal to srcALen */
-    if(srcALen >= srcBLen)
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcA;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcB;
-    }
-    else
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcB;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcA;
-
-      /* srcBLen is always considered as shorter or equal to srcALen */
-      j = srcBLen;
-      srcBLen = srcALen;
-      srcALen = j;
-    }
-
-    /* Conditions to check which loopCounter holds    
-     * the first and last indices of the output samples to be calculated. */
-    check = firstIndex + numPoints;
-    blockSize3 = ((int32_t) check - (int32_t) srcALen);
-    blockSize3 = (blockSize3 > 0) ? blockSize3 : 0;
-    blockSize1 = (((int32_t) srcBLen - 1) - (int32_t) firstIndex);
-    blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1u)) ? blockSize1 :
-                                     (int32_t) numPoints) : 0;
-    blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) +
-                                    (int32_t) firstIndex);
-    blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
-
-    /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
-    /* The function is internally    
-     * divided into three stages according to the number of multiplications that has to be    
-     * taken place between inputA samples and inputB samples. In the first stage of the    
-     * algorithm, the multiplications increase by one for every iteration.    
-     * In the second stage of the algorithm, srcBLen number of multiplications are done.    
-     * In the third stage of the algorithm, the multiplications decrease by one    
-     * for every iteration. */
-
-    /* Set the output pointer to point to the firstIndex    
-     * of the output sample to be calculated. */
-    pOut = pDst + firstIndex;
-
-    /* --------------------------    
-     * Initializations of stage1    
-     * -------------------------*/
-
-    /* sum = x[0] * y[0]    
-     * sum = x[0] * y[1] + x[1] * y[0]    
-     * ....    
-     * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]    
-     */
-
-    /* In this stage the MAC operations are increased by 1 for every iteration.    
-       The count variable holds the number of MAC operations performed.    
-       Since the partial convolution starts from firstIndex    
-       Number of Macs to be performed is firstIndex + 1 */
-    count = 1u + firstIndex;
-
-    /* Working pointer of inputA */
-    px = pIn1;
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + firstIndex;
-    py = pSrc2;
-
-    /* ------------------------    
-     * Stage1 process    
-     * ----------------------*/
-
-    /* The first loop starts here */
-    while(blockSize1 > 0)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = count >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* x[0] * y[srcBLen - 1] */
-        sum += (q63_t) * px++ * (*py--);
-        /* x[1] * y[srcBLen - 2] */
-        sum += (q63_t) * px++ * (*py--);
-        /* x[2] * y[srcBLen - 3] */
-        sum += (q63_t) * px++ * (*py--);
-        /* x[3] * y[srcBLen - 4] */
-        sum += (q63_t) * px++ * (*py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the count is not a multiple of 4, compute any remaining MACs here.    
-       ** No loop unrolling is used. */
-      k = count % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum += (q63_t) * px++ * (*py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q31_t) (sum >> 31);
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      py = ++pSrc2;
-      px = pIn1;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Decrement the loop counter */
-      blockSize1--;
-    }
-
-    /* --------------------------    
-     * Initializations of stage2    
-     * ------------------------*/
-
-    /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]    
-     * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]    
-     * ....    
-     * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]    
-     */
-
-    /* Working pointer of inputA */
-    px = pIn1;
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + (srcBLen - 1u);
-    py = pSrc2;
-
-    /* count is index by which the pointer pIn1 to be incremented */
-    count = 0u;
-
-    /* -------------------    
-     * Stage2 process    
-     * ------------------*/
-
-    /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.    
-     * So, to loop unroll over blockSize2,    
-     * srcBLen should be greater than or equal to 4 */
-    if(srcBLen >= 4u)
-    {
-      /* Loop unroll over blkCnt */
-
-      blkCnt = blockSize2 / 3;
-      while(blkCnt > 0u)
-      {
-        /* Set all accumulators to zero */
-        acc0 = 0;
-        acc1 = 0;
-        acc2 = 0;
-
-        /* read x[0], x[1] samples */
-        x0 = *(px++);
-        x1 = *(px++);
-
-        /* Apply loop unrolling and compute 3 MACs simultaneously. */
-        k = srcBLen / 3;
-
-        /* First part of the processing with loop unrolling.  Compute 3 MACs at a time.        
-         ** a second loop below computes MACs for the remaining 1 to 2 samples. */
-        do
-        {
-          /* Read y[srcBLen - 1] sample */
-          c0 = *(py);
-
-          /* Read x[2] sample */
-          x2 = *(px);
-
-          /* Perform the multiply-accumulates */
-          /* acc0 +=  x[0] * y[srcBLen - 1] */
-          acc0 += (q63_t) x0 *c0;
-          /* acc1 +=  x[1] * y[srcBLen - 1] */
-          acc1 += (q63_t) x1 *c0;
-          /* acc2 +=  x[2] * y[srcBLen - 1] */
-          acc2 += (q63_t) x2 *c0;
-
-          /* Read y[srcBLen - 2] sample */
-          c0 = *(py - 1u);
-
-          /* Read x[3] sample */
-          x0 = *(px + 1u);
-
-          /* Perform the multiply-accumulate */
-          /* acc0 +=  x[1] * y[srcBLen - 2] */
-          acc0 += (q63_t) x1 *c0;
-          /* acc1 +=  x[2] * y[srcBLen - 2] */
-          acc1 += (q63_t) x2 *c0;
-          /* acc2 +=  x[3] * y[srcBLen - 2] */
-          acc2 += (q63_t) x0 *c0;
-
-          /* Read y[srcBLen - 3] sample */
-          c0 = *(py - 2u);
-
-          /* Read x[4] sample */
-          x1 = *(px + 2u);
-
-          /* Perform the multiply-accumulates */
-          /* acc0 +=  x[2] * y[srcBLen - 3] */
-          acc0 += (q63_t) x2 *c0;
-          /* acc1 +=  x[3] * y[srcBLen - 2] */
-          acc1 += (q63_t) x0 *c0;
-          /* acc2 +=  x[4] * y[srcBLen - 2] */
-          acc2 += (q63_t) x1 *c0;
-
-
-          px += 3u;
-
-          py -= 3u;
-
-        } while(--k);
-
-        /* If the srcBLen is not a multiple of 3, compute any remaining MACs here.        
-         ** No loop unrolling is used. */
-        k = srcBLen - (3 * (srcBLen / 3));
-
-        while(k > 0u)
-        {
-          /* Read y[srcBLen - 5] sample */
-          c0 = *(py--);
-
-          /* Read x[7] sample */
-          x2 = *(px++);
-
-          /* Perform the multiply-accumulates */
-          /* acc0 +=  x[4] * y[srcBLen - 5] */
-          acc0 += (q63_t) x0 *c0;
-          /* acc1 +=  x[5] * y[srcBLen - 5] */
-          acc1 += (q63_t) x1 *c0;
-          /* acc2 +=  x[6] * y[srcBLen - 5] */
-          acc2 += (q63_t) x2 *c0;
-
-          /* Reuse the present samples for the next MAC */
-          x0 = x1;
-          x1 = x2;
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* Store the result in the accumulator in the destination buffer. */
-        *pOut++ = (q31_t) (acc0 >> 31);
-        *pOut++ = (q31_t) (acc1 >> 31);
-        *pOut++ = (q31_t) (acc2 >> 31);
-
-        /* Increment the pointer pIn1 index, count by 3 */
-        count += 3u;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-        px = pIn1 + count;
-        py = pSrc2;
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-
-      /* If the blockSize2 is not a multiple of 3, compute any remaining output samples here.        
-       ** No loop unrolling is used. */
-      blkCnt = blockSize2 - 3 * (blockSize2 / 3);
-
-      while(blkCnt > 0u)
-      {
-        /* Accumulator is made zero for every iteration */
-        sum = 0;
-
-        /* Apply loop unrolling and compute 4 MACs simultaneously. */
-        k = srcBLen >> 2u;
-
-        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-         ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulates */
-          sum += (q63_t) * px++ * (*py--);
-          sum += (q63_t) * px++ * (*py--);
-          sum += (q63_t) * px++ * (*py--);
-          sum += (q63_t) * px++ * (*py--);
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
-         ** No loop unrolling is used. */
-        k = srcBLen % 0x4u;
-
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulate */
-          sum += (q63_t) * px++ * (*py--);
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* Store the result in the accumulator in the destination buffer. */
-        *pOut++ = (q31_t) (sum >> 31);
-
-        /* Increment the MAC count */
-        count++;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-        px = pIn1 + count;
-        py = pSrc2;
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-    }
-    else
-    {
-      /* If the srcBLen is not a multiple of 4,    
-       * the blockSize2 loop cannot be unrolled by 4 */
-      blkCnt = (uint32_t) blockSize2;
-
-      while(blkCnt > 0u)
-      {
-        /* Accumulator is made zero for every iteration */
-        sum = 0;
-
-        /* srcBLen number of MACS should be performed */
-        k = srcBLen;
-
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulate */
-          sum += (q63_t) * px++ * (*py--);
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* Store the result in the accumulator in the destination buffer. */
-        *pOut++ = (q31_t) (sum >> 31);
-
-        /* Increment the MAC count */
-        count++;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-        px = pIn1 + count;
-        py = pSrc2;
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-    }
-
-
-    /* --------------------------    
-     * Initializations of stage3    
-     * -------------------------*/
-
-    /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]    
-     * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]    
-     * ....    
-     * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]    
-     * sum +=  x[srcALen-1] * y[srcBLen-1]    
-     */
-
-    /* In this stage the MAC operations are decreased by 1 for every iteration.    
-       The blockSize3 variable holds the number of MAC operations performed */
-    count = srcBLen - 1u;
-
-    /* Working pointer of inputA */
-    pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
-    px = pSrc1;
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + (srcBLen - 1u);
-    py = pSrc2;
-
-    /* -------------------    
-     * Stage3 process    
-     * ------------------*/
-
-    while(blockSize3 > 0)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = count >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        sum += (q63_t) * px++ * (*py--);
-        sum += (q63_t) * px++ * (*py--);
-        sum += (q63_t) * px++ * (*py--);
-        sum += (q63_t) * px++ * (*py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here.    
-       ** No loop unrolling is used. */
-      k = count % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum += (q63_t) * px++ * (*py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q31_t) (sum >> 31);
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = ++pSrc1;
-      py = pSrc2;
-
-      /* Decrement the MAC count */
-      count--;
-
-      /* Decrement the loop counter */
-      blockSize3--;
-
-    }
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  q31_t *pIn1 = pSrcA;                           /* inputA pointer */
-  q31_t *pIn2 = pSrcB;                           /* inputB pointer */
-  q63_t sum;                                     /* Accumulator */
-  uint32_t i, j;                                 /* loop counters */
-  arm_status status;                             /* status of Partial convolution */
-
-  /* Check for range of output samples to be calculated */
-  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
-  {
-    /* Set status as ARM_ARGUMENT_ERROR */
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-  else
-  {
-    /* Loop to calculate convolution for output length number of values */
-    for (i = firstIndex; i <= (firstIndex + numPoints - 1); i++)
-    {
-      /* Initialize sum with zero to carry on MAC operations */
-      sum = 0;
-
-      /* Loop to perform MAC operations according to convolution equation */
-      for (j = 0; j <= i; j++)
-      {
-        /* Check the array limitations */
-        if(((i - j) < srcBLen) && (j < srcALen))
-        {
-          /* z[i] += x[i-j] * y[j] */
-          sum += ((q63_t) pIn1[j] * (pIn2[i - j]));
-        }
-      }
-
-      /* Store the output in the destination buffer */
-      pDst[i] = (q31_t) (sum >> 31u);
-    }
-    /* set status as ARM_SUCCESS as there are no argument errors */
-    status = ARM_MATH_SUCCESS;
-  }
-  return (status);
-
-#endif /*    #ifndef ARM_MATH_CM0      */
-
-}
-
-/**    
- * @} end of PartialConv group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_q7.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_q7.c
deleted file mode 100644
index ed205838e..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_q7.c
+++ /dev/null
@@ -1,733 +0,0 @@
-/* ----------------------------------------------------------------------   
-* Copyright (C) 2010 ARM Limited. All rights reserved.   
-*   
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*   
-* Project: 	    CMSIS DSP Library   
-* Title:		arm_conv_partial_q7.c   
-*   
-* Description:	Partial convolution of Q7 sequences.   
-*   
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*  
-* Version 1.0.11 2011/10/18 
-*    Bug Fix in conv, correlation, partial convolution. 
-*
-* Version 1.0.10 2011/7/15 
-*    Big Endian support added and Merged M0 and M3/M4 Source code.  
-*   
-* Version 1.0.3 2010/11/29  
-*    Re-organized the CMSIS folders and updated documentation.   
-*    
-* Version 1.0.2 2010/11/11   
-*    Documentation updated.    
-*   
-* Version 1.0.1 2010/10/05    
-*    Production release and review comments incorporated.   
-*   
-* Version 1.0.0 2010/09/20    
-*    Production release and review comments incorporated   
-*   
-* Version 0.0.7  2010/06/10    
-*    Misra-C changes done   
-*   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**   
- * @ingroup groupFilters   
- */
-
-/**   
- * @addtogroup PartialConv   
- * @{   
- */
-
-/**   
- * @brief Partial convolution of Q7 sequences.   
- * @param[in]       *pSrcA points to the first input sequence.   
- * @param[in]       srcALen length of the first input sequence.   
- * @param[in]       *pSrcB points to the second input sequence.   
- * @param[in]       srcBLen length of the second input sequence.   
- * @param[out]      *pDst points to the location where the output result is written.   
- * @param[in]       firstIndex is the first output sample to start with.   
- * @param[in]       numPoints is the number of output points to be computed.   
- * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].   
- *  
- * \par    
- * Refer the function arm_conv_partial_opt_q7() for a faster implementation of this function.
- *  
- */
-
-arm_status arm_conv_partial_q7(
-  q7_t * pSrcA,
-  uint32_t srcALen,
-  q7_t * pSrcB,
-  uint32_t srcBLen,
-  q7_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints)
-{
-
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q7_t *pIn1;                                    /* inputA pointer */
-  q7_t *pIn2;                                    /* inputB pointer */
-  q7_t *pOut = pDst;                             /* output pointer */
-  q7_t *px;                                      /* Intermediate inputA pointer */
-  q7_t *py;                                      /* Intermediate inputB pointer */
-  q7_t *pSrc1, *pSrc2;                           /* Intermediate pointers */
-  q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulator */
-  q31_t input1, input2;
-  q15_t in1, in2;
-  q7_t x0, x1, x2, x3, c0, c1;
-  uint32_t j, k, count, check, blkCnt;
-  int32_t blockSize1, blockSize2, blockSize3;    /* loop counter */
-  arm_status status;
-
-
-  /* Check for range of output samples to be calculated */
-  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
-  {
-    /* Set status as ARM_MATH_ARGUMENT_ERROR */
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-  else
-  {
-
-    /* The algorithm implementation is based on the lengths of the inputs. */
-    /* srcB is always made to slide across srcA. */
-    /* So srcBLen is always considered as shorter or equal to srcALen */
-    if(srcALen >= srcBLen)
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcA;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcB;
-    }
-    else
-    {
-      /* Initialization of inputA pointer */
-      pIn1 = pSrcB;
-
-      /* Initialization of inputB pointer */
-      pIn2 = pSrcA;
-
-      /* srcBLen is always considered as shorter or equal to srcALen */
-      j = srcBLen;
-      srcBLen = srcALen;
-      srcALen = j;
-    }
-
-    /* Conditions to check which loopCounter holds   
-     * the first and last indices of the output samples to be calculated. */
-    check = firstIndex + numPoints;
-    blockSize3 = ((int32_t) check - (int32_t) srcALen);
-    blockSize3 = (blockSize3 > 0) ? blockSize3 : 0;
-    blockSize1 = (((int32_t) srcBLen - 1) - (int32_t) firstIndex);
-    blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1u)) ? blockSize1 :
-                                     (int32_t) numPoints) : 0;
-    blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) +
-                                    (int32_t) firstIndex);
-    blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
-
-    /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
-    /* The function is internally   
-     * divided into three stages according to the number of multiplications that has to be   
-     * taken place between inputA samples and inputB samples. In the first stage of the   
-     * algorithm, the multiplications increase by one for every iteration.   
-     * In the second stage of the algorithm, srcBLen number of multiplications are done.   
-     * In the third stage of the algorithm, the multiplications decrease by one   
-     * for every iteration. */
-
-    /* Set the output pointer to point to the firstIndex   
-     * of the output sample to be calculated. */
-    pOut = pDst + firstIndex;
-
-    /* --------------------------   
-     * Initializations of stage1   
-     * -------------------------*/
-
-    /* sum = x[0] * y[0]   
-     * sum = x[0] * y[1] + x[1] * y[0]   
-     * ....   
-     * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]   
-     */
-
-    /* In this stage the MAC operations are increased by 1 for every iteration.   
-       The count variable holds the number of MAC operations performed.   
-       Since the partial convolution starts from from firstIndex   
-       Number of Macs to be performed is firstIndex + 1 */
-    count = 1u + firstIndex;
-
-    /* Working pointer of inputA */
-    px = pIn1;
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + firstIndex;
-    py = pSrc2;
-
-    /* ------------------------   
-     * Stage1 process   
-     * ----------------------*/
-
-    /* The first stage starts here */
-    while(blockSize1 > 0)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = count >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* x[0] , x[1] */
-        in1 = (q15_t) * px++;
-        in2 = (q15_t) * px++;
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* y[srcBLen - 1] , y[srcBLen - 2] */
-        in1 = (q15_t) * py--;
-        in2 = (q15_t) * py--;
-        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* x[0] * y[srcBLen - 1] */
-        /* x[1] * y[srcBLen - 2] */
-        sum = __SMLAD(input1, input2, sum);
-
-        /* x[2] , x[3] */
-        in1 = (q15_t) * px++;
-        in2 = (q15_t) * px++;
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* y[srcBLen - 3] , y[srcBLen - 4] */
-        in1 = (q15_t) * py--;
-        in2 = (q15_t) * py--;
-        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* x[2] * y[srcBLen - 3] */
-        /* x[3] * y[srcBLen - 4] */
-        sum = __SMLAD(input1, input2, sum);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the count is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = count % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += ((q31_t) * px++ * *py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q7_t) (__SSAT(sum >> 7, 8));
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      py = ++pSrc2;
-      px = pIn1;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Decrement the loop counter */
-      blockSize1--;
-    }
-
-    /* --------------------------   
-     * Initializations of stage2   
-     * ------------------------*/
-
-    /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]   
-     * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]   
-     * ....   
-     * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]   
-     */
-
-    /* Working pointer of inputA */
-    px = pIn1;
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + (srcBLen - 1u);
-    py = pSrc2;
-
-    /* count is index by which the pointer pIn1 to be incremented */
-    count = 0u;
-
-    /* -------------------   
-     * Stage2 process   
-     * ------------------*/
-
-    /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.   
-     * So, to loop unroll over blockSize2,   
-     * srcBLen should be greater than or equal to 4 */
-    if(srcBLen >= 4u)
-    {
-      /* Loop unroll over blockSize2, by 4 */
-      blkCnt = ((uint32_t) blockSize2 >> 2u);
-
-      while(blkCnt > 0u)
-      {
-        /* Set all accumulators to zero */
-        acc0 = 0;
-        acc1 = 0;
-        acc2 = 0;
-        acc3 = 0;
-
-        /* read x[0], x[1], x[2] samples */
-        x0 = *(px++);
-        x1 = *(px++);
-        x2 = *(px++);
-
-        /* Apply loop unrolling and compute 4 MACs simultaneously. */
-        k = srcBLen >> 2u;
-
-        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-         ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-        do
-        {
-          /* Read y[srcBLen - 1] sample */
-          c0 = *(py--);
-          /* Read y[srcBLen - 2] sample */
-          c1 = *(py--);
-
-          /* Read x[3] sample */
-          x3 = *(px++);
-
-          /* x[0] and x[1] are packed */
-          in1 = (q15_t) x0;
-          in2 = (q15_t) x1;
-
-          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-          /* y[srcBLen - 1]   and y[srcBLen - 2] are packed */
-          in1 = (q15_t) c0;
-          in2 = (q15_t) c1;
-
-          input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-          /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2]  */
-          acc0 = __SMLAD(input1, input2, acc0);
-
-          /* x[1] and x[2] are packed */
-          in1 = (q15_t) x1;
-          in2 = (q15_t) x2;
-
-          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-          /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2]  */
-          acc1 = __SMLAD(input1, input2, acc1);
-
-          /* x[2] and x[3] are packed */
-          in1 = (q15_t) x2;
-          in2 = (q15_t) x3;
-
-          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-          /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2]  */
-          acc2 = __SMLAD(input1, input2, acc2);
-
-          /* Read x[4] sample */
-          x0 = *(px++);
-
-          /* x[3] and x[4] are packed */
-          in1 = (q15_t) x3;
-          in2 = (q15_t) x0;
-
-          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-          /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2]  */
-          acc3 = __SMLAD(input1, input2, acc3);
-
-          /* Read y[srcBLen - 3] sample */
-          c0 = *(py--);
-          /* Read y[srcBLen - 4] sample */
-          c1 = *(py--);
-
-          /* Read x[5] sample */
-          x1 = *(px++);
-
-          /* x[2] and x[3] are packed */
-          in1 = (q15_t) x2;
-          in2 = (q15_t) x3;
-
-          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-          /* y[srcBLen - 3] and y[srcBLen - 4] are packed */
-          in1 = (q15_t) c0;
-          in2 = (q15_t) c1;
-
-          input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-          /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4]  */
-          acc0 = __SMLAD(input1, input2, acc0);
-
-          /* x[3] and x[4] are packed */
-          in1 = (q15_t) x3;
-          in2 = (q15_t) x0;
-
-          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-          /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4]  */
-          acc1 = __SMLAD(input1, input2, acc1);
-
-          /* x[4] and x[5] are packed */
-          in1 = (q15_t) x0;
-          in2 = (q15_t) x1;
-
-          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-          /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4]  */
-          acc2 = __SMLAD(input1, input2, acc2);
-
-          /* Read x[6] sample */
-          x2 = *(px++);
-
-          /* x[5] and x[6] are packed */
-          in1 = (q15_t) x1;
-          in2 = (q15_t) x2;
-
-          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-          /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4]  */
-          acc3 = __SMLAD(input1, input2, acc3);
-
-        } while(--k);
-
-        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-         ** No loop unrolling is used. */
-        k = srcBLen % 0x4u;
-
-        while(k > 0u)
-        {
-          /* Read y[srcBLen - 5] sample */
-          c0 = *(py--);
-
-          /* Read x[7] sample */
-          x3 = *(px++);
-
-          /* Perform the multiply-accumulates */
-          /* acc0 +=  x[4] * y[srcBLen - 5] */
-          acc0 += ((q31_t) x0 * c0);
-          /* acc1 +=  x[5] * y[srcBLen - 5] */
-          acc1 += ((q31_t) x1 * c0);
-          /* acc2 +=  x[6] * y[srcBLen - 5] */
-          acc2 += ((q31_t) x2 * c0);
-          /* acc3 +=  x[7] * y[srcBLen - 5] */
-          acc3 += ((q31_t) x3 * c0);
-
-          /* Reuse the present samples for the next MAC */
-          x0 = x1;
-          x1 = x2;
-          x2 = x3;
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* Store the result in the accumulator in the destination buffer. */
-        *pOut++ = (q7_t) (__SSAT(acc0 >> 7, 8));
-        *pOut++ = (q7_t) (__SSAT(acc1 >> 7, 8));
-        *pOut++ = (q7_t) (__SSAT(acc2 >> 7, 8));
-        *pOut++ = (q7_t) (__SSAT(acc3 >> 7, 8));
-
-        /* Increment the pointer pIn1 index, count by 4 */
-        count += 4u;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-        px = pIn1 + count;
-        py = pSrc2;
-
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-
-      /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.   
-       ** No loop unrolling is used. */
-      blkCnt = (uint32_t) blockSize2 % 0x4u;
-
-      while(blkCnt > 0u)
-      {
-        /* Accumulator is made zero for every iteration */
-        sum = 0;
-
-        /* Apply loop unrolling and compute 4 MACs simultaneously. */
-        k = srcBLen >> 2u;
-
-        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-         ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-        while(k > 0u)
-        {
-
-          /* Reading two inputs of SrcA buffer and packing */
-          in1 = (q15_t) * px++;
-          in2 = (q15_t) * px++;
-          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-          /* Reading two inputs of SrcB buffer and packing */
-          in1 = (q15_t) * py--;
-          in2 = (q15_t) * py--;
-          input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-          /* Perform the multiply-accumulates */
-          sum = __SMLAD(input1, input2, sum);
-
-          /* Reading two inputs of SrcA buffer and packing */
-          in1 = (q15_t) * px++;
-          in2 = (q15_t) * px++;
-          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-          /* Reading two inputs of SrcB buffer and packing */
-          in1 = (q15_t) * py--;
-          in2 = (q15_t) * py--;
-          input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-          /* Perform the multiply-accumulates */
-          sum = __SMLAD(input1, input2, sum);
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-         ** No loop unrolling is used. */
-        k = srcBLen % 0x4u;
-
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulates */
-          sum += ((q31_t) * px++ * *py--);
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* Store the result in the accumulator in the destination buffer. */
-        *pOut++ = (q7_t) (__SSAT(sum >> 7, 8));
-
-        /* Increment the pointer pIn1 index, count by 1 */
- 	    count++;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-      	px = pIn1 + count;
-        py = pSrc2;	
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-    }
-    else
-    {
-      /* If the srcBLen is not a multiple of 4,   
-       * the blockSize2 loop cannot be unrolled by 4 */
-      blkCnt = (uint32_t) blockSize2;
-
-      while(blkCnt > 0u)
-      {
-        /* Accumulator is made zero for every iteration */
-        sum = 0;
-
-        /* srcBLen number of MACS should be performed */
-        k = srcBLen;
-
-        while(k > 0u)
-        {
-          /* Perform the multiply-accumulate */
-          sum += ((q31_t) * px++ * *py--);
-
-          /* Decrement the loop counter */
-          k--;
-        }
-
-        /* Store the result in the accumulator in the destination buffer. */
-        *pOut++ = (q7_t) (__SSAT(sum >> 7, 8));
-
-        /* Increment the MAC count */
-        count++;
-
-        /* Update the inputA and inputB pointers for next MAC calculation */
-        px = pIn1 + count;
-        py = pSrc2;
-
-        /* Decrement the loop counter */
-        blkCnt--;
-      }
-    }
-
-
-    /* --------------------------   
-     * Initializations of stage3   
-     * -------------------------*/
-
-    /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]   
-     * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]   
-     * ....   
-     * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]   
-     * sum +=  x[srcALen-1] * y[srcBLen-1]   
-     */
-
-    /* In this stage the MAC operations are decreased by 1 for every iteration.   
-       The count variable holds the number of MAC operations performed */
-    count = srcBLen - 1u;
-
-    /* Working pointer of inputA */
-    pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
-    px = pSrc1;
-
-    /* Working pointer of inputB */
-    pSrc2 = pIn2 + (srcBLen - 1u);
-    py = pSrc2;
-
-    /* -------------------   
-     * Stage3 process   
-     * ------------------*/
-
-    while(blockSize3 > 0)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = count >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* Reading two inputs, x[srcALen - srcBLen + 1] and x[srcALen - srcBLen + 2] of SrcA buffer and packing */
-        in1 = (q15_t) * px++;
-        in2 = (q15_t) * px++;
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* Reading two inputs, y[srcBLen - 1] and y[srcBLen - 2] of SrcB buffer and packing */
-        in1 = (q15_t) * py--;
-        in2 = (q15_t) * py--;
-        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
-        /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
-        sum = __SMLAD(input1, input2, sum);
-
-        /* Reading two inputs, x[srcALen - srcBLen + 3] and x[srcALen - srcBLen + 4] of SrcA buffer and packing */
-        in1 = (q15_t) * px++;
-        in2 = (q15_t) * px++;
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* Reading two inputs, y[srcBLen - 3] and y[srcBLen - 4] of SrcB buffer and packing */
-        in1 = (q15_t) * py--;
-        in2 = (q15_t) * py--;
-        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
-        /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
-        sum = __SMLAD(input1, input2, sum);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the count is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = count % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        /* sum +=  x[srcALen-1] * y[srcBLen-1] */
-        sum += ((q31_t) * px++ * *py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q7_t) (__SSAT(sum >> 7, 8));
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = ++pSrc1;
-      py = pSrc2;
-
-      /* Decrement the MAC count */
-      count--;
-
-      /* Decrement the loop counter */
-      blockSize3--;
-
-    }
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  q7_t *pIn1 = pSrcA;                            /* inputA pointer */
-  q7_t *pIn2 = pSrcB;                            /* inputB pointer */
-  q31_t sum;                                     /* Accumulator */
-  uint32_t i, j;                                 /* loop counters */
-  arm_status status;                             /* status of Partial convolution */
-
-  /* Check for range of output samples to be calculated */
-  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
-  {
-    /* Set status as ARM_ARGUMENT_ERROR */
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-  else
-  {
-    /* Loop to calculate convolution for output length number of values */
-    for (i = firstIndex; i <= (firstIndex + numPoints - 1); i++)
-    {
-      /* Initialize sum with zero to carry on MAC operations */
-      sum = 0;
-
-      /* Loop to perform MAC operations according to convolution equation */
-      for (j = 0; j <= i; j++)
-      {
-        /* Check the array limitations */
-        if(((i - j) < srcBLen) && (j < srcALen))
-        {
-          /* z[i] += x[i-j] * y[j] */
-          sum += ((q15_t) pIn1[j] * (pIn2[i - j]));
-        }
-      }
-
-      /* Store the output in the destination buffer */
-      pDst[i] = (q7_t) __SSAT((sum >> 7u), 8u);
-    }
-    /* set status as ARM_SUCCESS as there are no argument errors */
-    status = ARM_MATH_SUCCESS;
-  }
-  return (status);
-
-#endif /*  #ifndef ARM_MATH_CM0 */
-
-}
-
-/**   
- * @} end of PartialConv group   
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_q15.c
deleted file mode 100644
index 1907719e7..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_q15.c
+++ /dev/null
@@ -1,733 +0,0 @@
-/* ----------------------------------------------------------------------   
-* Copyright (C) 2010 ARM Limited. All rights reserved.   
-*   
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*   
-* Project: 	    CMSIS DSP Library   
-* Title:		arm_conv_q15.c   
-*   
-* Description:	Convolution of Q15 sequences.     
-*   
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.11 2011/10/18 
-*    Bug Fix in conv, correlation, partial convolution. 
-*
-* Version 1.0.10 2011/7/15 
-*    Big Endian support added and Merged M0 and M3/M4 Source code.  
-*   
-* Version 1.0.3 2010/11/29  
-*    Re-organized the CMSIS folders and updated documentation.   
-*    
-* Version 1.0.2 2010/11/11   
-*    Documentation updated.    
-*   
-* Version 1.0.1 2010/10/05    
-*    Production release and review comments incorporated.   
-*   
-* Version 1.0.0 2010/09/20    
-*    Production release and review comments incorporated   
-*   
-* Version 0.0.7  2010/06/10    
-*    Misra-C changes done   
-*   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**   
- * @ingroup groupFilters   
- */
-
-/**   
- * @addtogroup Conv   
- * @{   
- */
-
-/**   
- * @brief Convolution of Q15 sequences.   
- * @param[in] *pSrcA points to the first input sequence.   
- * @param[in] srcALen length of the first input sequence.   
- * @param[in] *pSrcB points to the second input sequence.   
- * @param[in] srcBLen length of the second input sequence.   
- * @param[out] *pDst points to the location where the output result is written.  Length srcALen+srcBLen-1.   
- * @return none.   
- *   
- * @details   
- * Scaling and Overflow Behavior:   
- *   
- * \par   
- * The function is implemented using a 64-bit internal accumulator.   
- * Both inputs are in 1.15 format and multiplications yield a 2.30 result.   
- * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.   
- * This approach provides 33 guard bits and there is no risk of overflow.   
- * The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format.   
- *   
- * \par   
- * Refer to arm_conv_fast_q15() for a faster but less precise version of this function for Cortex-M3 and Cortex-M4. 
- *
- * \par    
- * Refer the function arm_conv_opt_q15() for a faster implementation of this function using scratch buffers.
- *  
- */
-
-void arm_conv_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst)
-{
-
-#if (defined(ARM_MATH_CM4) || defined(ARM_MATH_CM3)) && !defined(UNALIGNED_SUPPORT_DISABLE)
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q15_t *pIn1;                                   /* inputA pointer */
-  q15_t *pIn2;                                   /* inputB pointer */
-  q15_t *pOut = pDst;                            /* output pointer */
-  q63_t sum, acc0, acc1, acc2, acc3;             /* Accumulator */
-  q15_t *px;                                     /* Intermediate inputA pointer  */
-  q15_t *py;                                     /* Intermediate inputB pointer  */
-  q15_t *pSrc1, *pSrc2;                          /* Intermediate pointers */
-  q31_t x0, x1, x2, x3, c0;                      /* Temporary variables to hold state and coefficient values */
-  uint32_t blockSize1, blockSize2, blockSize3, j, k, count, blkCnt;     /* loop counter */
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcA;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcB;
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcB;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcA;
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-  }
-
-  /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
-  /* The function is internally   
-   * divided into three stages according to the number of multiplications that has to be   
-   * taken place between inputA samples and inputB samples. In the first stage of the   
-   * algorithm, the multiplications increase by one for every iteration.   
-   * In the second stage of the algorithm, srcBLen number of multiplications are done.   
-   * In the third stage of the algorithm, the multiplications decrease by one   
-   * for every iteration. */
-
-  /* The algorithm is implemented in three stages.   
-     The loop counters of each stage is initiated here. */
-  blockSize1 = srcBLen - 1u;
-  blockSize2 = srcALen - (srcBLen - 1u);
-
-  /* --------------------------   
-   * Initializations of stage1   
-   * -------------------------*/
-
-  /* sum = x[0] * y[0]   
-   * sum = x[0] * y[1] + x[1] * y[0]   
-   * ....   
-   * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]   
-   */
-
-  /* In this stage the MAC operations are increased by 1 for every iteration.   
-     The count variable holds the number of MAC operations performed */
-  count = 1u;
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-
-  /* ------------------------   
-   * Stage1 process   
-   * ----------------------*/
-
-  /* For loop unrolling by 4, this stage is divided into two. */
-  /* First part of this stage computes the MAC operations less than 4 */
-  /* Second part of this stage computes the MAC operations greater than or equal to 4 */
-
-  /* The first part of the stage starts here */
-  while((count < 4u) && (blockSize1 > 0u))
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Loop over number of MAC operations between   
-     * inputA samples and inputB samples */
-    k = count;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      sum = __SMLALD(*px++, *py--, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    py = pIn2 + count;
-    px = pIn1;
-
-    /* Increment the MAC count */
-    count++;
-
-    /* Decrement the loop counter */
-    blockSize1--;
-  }
-
-  /* The second part of the stage starts here */
-  /* The internal loop, over count, is unrolled by 4 */
-  /* To, read the last two inputB samples using SIMD:   
-   * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */
-  py = py - 1;
-
-  while(blockSize1 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      /* x[0], x[1] are multiplied with y[srcBLen - 1], y[srcBLen - 2] respectively */
-      sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
-      /* x[2], x[3] are multiplied with y[srcBLen - 3], y[srcBLen - 4] respectively */
-      sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* For the next MAC operations, the pointer py is used without SIMD   
-     * So, py is incremented by 1 */
-    py = py + 1u;
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.   
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      sum = __SMLALD(*px++, *py--, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    py = pIn2 + (count - 1u);
-    px = pIn1;
-
-    /* Increment the MAC count */
-    count++;
-
-    /* Decrement the loop counter */
-    blockSize1--;
-  }
-
-  /* --------------------------   
-   * Initializations of stage2   
-   * ------------------------*/
-
-  /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]   
-   * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]   
-   * ....   
-   * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]   
-   */
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  pSrc2 = pIn2 + (srcBLen - 1u);
-  py = pSrc2;
-
-  /* count is the index by which the pointer pIn1 to be incremented */
-  count = 0u;
-
-
-  /* --------------------   
-   * Stage2 process   
-   * -------------------*/
-
-  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.   
-   * So, to loop unroll over blockSize2,   
-   * srcBLen should be greater than or equal to 4 */
-  if(srcBLen >= 4u)
-  {
-    /* Loop unroll over blockSize2, by 4 */
-    blkCnt = blockSize2 >> 2u;
-
-    while(blkCnt > 0u)
-    {
-      py = py - 1u;
-
-      /* Set all accumulators to zero */
-      acc0 = 0;
-      acc1 = 0;
-      acc2 = 0;
-      acc3 = 0;
-
-
-      /* read x[0], x[1] samples */
-      x0 = *__SIMD32(px);
-      /* read x[1], x[2] samples */
-      x1 = _SIMD32_OFFSET(px+1);
-	  px+= 2u;
-
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      do
-      {
-        /* Read the last two inputB samples using SIMD:   
-         * y[srcBLen - 1] and y[srcBLen - 2] */
-        c0 = *__SIMD32(py)--;
-
-        /* acc0 +=  x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */
-        acc0 = __SMLALDX(x0, c0, acc0);
-
-        /* acc1 +=  x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */
-        acc1 = __SMLALDX(x1, c0, acc1);
-
-        /* Read x[2], x[3] */
-        x2 = *__SIMD32(px);
-
-        /* Read x[3], x[4] */
-        x3 = _SIMD32_OFFSET(px+1);
-
-        /* acc2 +=  x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */
-        acc2 = __SMLALDX(x2, c0, acc2);
-
-        /* acc3 +=  x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */
-        acc3 = __SMLALDX(x3, c0, acc3);
-
-        /* Read y[srcBLen - 3] and y[srcBLen - 4] */
-        c0 = *__SIMD32(py)--;
-
-        /* acc0 +=  x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */
-        acc0 = __SMLALDX(x2, c0, acc0);
-
-        /* acc1 +=  x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */
-        acc1 = __SMLALDX(x3, c0, acc1);
-
-        /* Read x[4], x[5] */
-        x0 = _SIMD32_OFFSET(px+2);
-
-        /* Read x[5], x[6] */
-        x1 = _SIMD32_OFFSET(px+3);
-		px += 4u;
-
-        /* acc2 +=  x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */
-        acc2 = __SMLALDX(x0, c0, acc2);
-
-        /* acc3 +=  x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */
-        acc3 = __SMLALDX(x1, c0, acc3);
-
-      } while(--k);
-
-      /* For the next MAC operations, SIMD is not used   
-       * So, the 16 bit pointer if inputB, py is updated */
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      if(k == 1u)
-      {
-        /* Read y[srcBLen - 5] */
-        c0 = *(py+1);
-
-#ifdef  ARM_MATH_BIG_ENDIAN
-
-        c0 = c0 << 16u;
-
-#else
-
-        c0 = c0 & 0x0000FFFF;
-
-#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
-        /* Read x[7] */
-        x3 = *__SIMD32(px);
-		px++;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLALD(x0, c0, acc0);
-        acc1 = __SMLALD(x1, c0, acc1);
-        acc2 = __SMLALDX(x1, c0, acc2);
-        acc3 = __SMLALDX(x3, c0, acc3);
-      }
-
-      if(k == 2u)
-      {
-        /* Read y[srcBLen - 5], y[srcBLen - 6] */
-        c0 = _SIMD32_OFFSET(py);
-
-        /* Read x[7], x[8] */
-        x3 = *__SIMD32(px);
-
-        /* Read x[9] */
-        x2 = _SIMD32_OFFSET(px+1);
-		px += 2u;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLALDX(x0, c0, acc0);
-        acc1 = __SMLALDX(x1, c0, acc1);
-        acc2 = __SMLALDX(x3, c0, acc2);
-        acc3 = __SMLALDX(x2, c0, acc3);
-      }
-
-      if(k == 3u)
-      {
-        /* Read y[srcBLen - 5], y[srcBLen - 6] */
-        c0 = _SIMD32_OFFSET(py);
-
-        /* Read x[7], x[8] */
-        x3 = *__SIMD32(px);
-
-        /* Read x[9] */
-        x2 = _SIMD32_OFFSET(px+1);
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLALDX(x0, c0, acc0);
-        acc1 = __SMLALDX(x1, c0, acc1);
-        acc2 = __SMLALDX(x3, c0, acc2);
-        acc3 = __SMLALDX(x2, c0, acc3);
-
-		c0 = *(py-1);
-
-#ifdef  ARM_MATH_BIG_ENDIAN
-
-        c0 = c0 << 16u;
-#else
-
-        c0 = c0 & 0x0000FFFF;
-#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
-        /* Read x[10] */
-        x3 =  _SIMD32_OFFSET(px+2);
-		px += 3u;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLALDX(x1, c0, acc0);
-        acc1 = __SMLALD(x2, c0, acc1);
-        acc2 = __SMLALDX(x2, c0, acc2);
-        acc3 = __SMLALDX(x3, c0, acc3);
-      }
-
-
-      /* Store the results in the accumulators in the destination buffer. */
-
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-      *__SIMD32(pOut)++ =
-        __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16);
-      *__SIMD32(pOut)++ =
-        __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16);
-
-#else
-
-      *__SIMD32(pOut)++ =
-        __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16);
-      *__SIMD32(pOut)++ =
-        __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16);
-
-#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-      /* Increment the pointer pIn1 index, count by 4 */
-      count += 4u;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-       /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.   
-     ** No loop unrolling is used. */
-    blkCnt = blockSize2 % 0x4u;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += (q63_t) ((q31_t) * px++ * *py--);
-        sum += (q63_t) ((q31_t) * px++ * *py--);
-        sum += (q63_t) ((q31_t) * px++ * *py--);
-        sum += (q63_t) ((q31_t) * px++ * *py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += (q63_t) ((q31_t) * px++ * *py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (__SSAT(sum >> 15, 16));
-
-      /* Increment the pointer pIn1 index, count by 1 */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-  else
-  {
-    /* If the srcBLen is not a multiple of 4,   
-     * the blockSize2 loop cannot be unrolled by 4 */
-    blkCnt = blockSize2;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* srcBLen number of MACS should be performed */
-      k = srcBLen;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum += (q63_t) ((q31_t) * px++ * *py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q15_t) (__SSAT(sum >> 15, 16));
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-
-
-  /* --------------------------   
-   * Initializations of stage3   
-   * -------------------------*/
-
-  /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]   
-   * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]   
-   * ....   
-   * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]   
-   * sum +=  x[srcALen-1] * y[srcBLen-1]   
-   */
-
-  /* In this stage the MAC operations are decreased by 1 for every iteration.   
-     The blockSize3 variable holds the number of MAC operations performed */
-
-  blockSize3 = srcBLen - 1u;
-
-  /* Working pointer of inputA */
-  pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
-  px = pSrc1;
-
-  /* Working pointer of inputB */
-  pSrc2 = pIn2 + (srcBLen - 1u);
-  pIn2 = pSrc2 - 1u;
-  py = pIn2;
-
-  /* -------------------   
-   * Stage3 process   
-   * ------------------*/
-
-  /* For loop unrolling by 4, this stage is divided into two. */
-  /* First part of this stage computes the MAC operations greater than 4 */
-  /* Second part of this stage computes the MAC operations less than or equal to 4 */
-
-  /* The first part of the stage starts here */
-  j = blockSize3 >> 2u;
-
-  while((j > 0u) && (blockSize3 > 0u))
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = blockSize3 >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* x[srcALen - srcBLen + 1], x[srcALen - srcBLen + 2] are multiplied   
-       * with y[srcBLen - 1], y[srcBLen - 2] respectively */
-      sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
-      /* x[srcALen - srcBLen + 3], x[srcALen - srcBLen + 4] are multiplied   
-       * with y[srcBLen - 3], y[srcBLen - 4] respectively */
-      sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* For the next MAC operations, the pointer py is used without SIMD   
-     * So, py is incremented by 1 */
-    py = py + 1u;
-
-    /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here.   
-     ** No loop unrolling is used. */
-    k = blockSize3 % 0x4u;
-
-    while(k > 0u)
-    {
-      /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */
-      sum = __SMLALD(*px++, *py--, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    px = ++pSrc1;
-    py = pIn2;
-
-    /* Decrement the loop counter */
-    blockSize3--;
-
-    j--;
-  }
-
-  /* The second part of the stage starts here */
-  /* SIMD is not used for the next MAC operations,   
-   * so pointer py is updated to read only one sample at a time */
-  py = py + 1u;
-
-  while(blockSize3 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = blockSize3;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      /* sum +=  x[srcALen-1] * y[srcBLen-1] */
-      sum = __SMLALD(*px++, *py--, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    px = ++pSrc1;
-    py = pSrc2;
-
-    /* Decrement the loop counter */
-    blockSize3--;
-  }
-
-#else
-
-/* Run the below code for Cortex-M0 */
-
-  q15_t *pIn1 = pSrcA;                           /* input pointer */
-  q15_t *pIn2 = pSrcB;                           /* coefficient pointer */
-  q63_t sum;                                     /* Accumulator */
-  uint32_t i, j;                                 /* loop counter */
-
-  /* Loop to calculate output of convolution for output length number of times */
-  for (i = 0; i < (srcALen + srcBLen - 1); i++)
-  {
-    /* Initialize sum with zero to carry on MAC operations */
-    sum = 0;
-
-    /* Loop to perform MAC operations according to convolution equation */
-    for (j = 0; j <= i; j++)
-    {
-      /* Check the array limitations */
-      if(((i - j) < srcBLen) && (j < srcALen))
-      {
-        /* z[i] += x[i-j] * y[j] */
-        sum += (q31_t) pIn1[j] * (pIn2[i - j]);
-      }
-    }
-
-    /* Store the output in the destination buffer */
-    pDst[i] = (q15_t) __SSAT((sum >> 15u), 16u);
-  }
-
-#endif /*  #if (defined(ARM_MATH_CM4) || defined(ARM_MATH_CM3)) && !defined(UNALIGNED_SUPPORT_DISABLE)*/
-
-}
-
-/**   
- * @} end of Conv group   
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_q31.c
deleted file mode 100644
index 769b95abb..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_q31.c
+++ /dev/null
@@ -1,564 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_conv_q31.c    
-*    
-* Description:	Convolution of Q31 sequences.  
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-* 
-* Version 1.0.11 2011/10/18  
-*    Bug Fix in conv, correlation, partial convolution.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-*    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup Conv    
- * @{    
- */
-
-/**    
- * @brief Convolution of Q31 sequences.    
- * @param[in] *pSrcA points to the first input sequence.    
- * @param[in] srcALen length of the first input sequence.    
- * @param[in] *pSrcB points to the second input sequence.    
- * @param[in] srcBLen length of the second input sequence.    
- * @param[out] *pDst points to the location where the output result is written.  Length srcALen+srcBLen-1.    
- * @return none.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * The function is implemented using an internal 64-bit accumulator.    
- * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.    
- * There is no saturation on intermediate additions.    
- * Thus, if the accumulator overflows it wraps around and distorts the result.    
- * The input signals should be scaled down to avoid intermediate overflows.    
- * Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows,    
- * as maximum of min(srcALen, srcBLen) number of additions are carried internally.    
- * The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result.    
- *    
- * \par    
- * See arm_conv_fast_q31() for a faster but less precise implementation of this function for Cortex-M3 and Cortex-M4.    
- */
-
-void arm_conv_q31(
-  q31_t * pSrcA,
-  uint32_t srcALen,
-  q31_t * pSrcB,
-  uint32_t srcBLen,
-  q31_t * pDst)
-{
-
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q31_t *pIn1;                                   /* inputA pointer */
-  q31_t *pIn2;                                   /* inputB pointer */
-  q31_t *pOut = pDst;                            /* output pointer */
-  q31_t *px;                                     /* Intermediate inputA pointer  */
-  q31_t *py;                                     /* Intermediate inputB pointer  */
-  q31_t *pSrc1, *pSrc2;                          /* Intermediate pointers */
-  q63_t sum;                                     /* Accumulator */
-  q63_t acc0, acc1, acc2;                        /* Accumulator */
-  q31_t x0, x1, x2, c0;                          /* Temporary variables to hold state and coefficient values */
-  uint32_t j, k, count, blkCnt, blockSize1, blockSize2, blockSize3;     /* loop counter */
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcA;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcB;
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = (q31_t *) pSrcB;
-
-    /* Initialization of inputB pointer */
-    pIn2 = (q31_t *) pSrcA;
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-  }
-
-  /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
-  /* The function is internally    
-   * divided into three stages according to the number of multiplications that has to be    
-   * taken place between inputA samples and inputB samples. In the first stage of the    
-   * algorithm, the multiplications increase by one for every iteration.    
-   * In the second stage of the algorithm, srcBLen number of multiplications are done.    
-   * In the third stage of the algorithm, the multiplications decrease by one    
-   * for every iteration. */
-
-  /* The algorithm is implemented in three stages.    
-     The loop counters of each stage is initiated here. */
-  blockSize1 = srcBLen - 1u;
-  blockSize2 = srcALen - (srcBLen - 1u);
-  blockSize3 = blockSize1;
-
-  /* --------------------------    
-   * Initializations of stage1    
-   * -------------------------*/
-
-  /* sum = x[0] * y[0]    
-   * sum = x[0] * y[1] + x[1] * y[0]    
-   * ....    
-   * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]    
-   */
-
-  /* In this stage the MAC operations are increased by 1 for every iteration.    
-     The count variable holds the number of MAC operations performed */
-  count = 1u;
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-
-  /* ------------------------    
-   * Stage1 process    
-   * ----------------------*/
-
-  /* The first stage starts here */
-  while(blockSize1 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* x[0] * y[srcBLen - 1] */
-      sum += (q63_t) * px++ * (*py--);
-      /* x[1] * y[srcBLen - 2] */
-      sum += (q63_t) * px++ * (*py--);
-      /* x[2] * y[srcBLen - 3] */
-      sum += (q63_t) * px++ * (*py--);
-      /* x[3] * y[srcBLen - 4] */
-      sum += (q63_t) * px++ * (*py--);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.    
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      sum += (q63_t) * px++ * (*py--);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = (q31_t) (sum >> 31);
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    py = pIn2 + count;
-    px = pIn1;
-
-    /* Increment the MAC count */
-    count++;
-
-    /* Decrement the loop counter */
-    blockSize1--;
-  }
-
-  /* --------------------------    
-   * Initializations of stage2    
-   * ------------------------*/
-
-  /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]    
-   * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]    
-   * ....    
-   * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]    
-   */
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  pSrc2 = pIn2 + (srcBLen - 1u);
-  py = pSrc2;
-
-  /* count is index by which the pointer pIn1 to be incremented */
-  count = 0u;
-
-  /* -------------------    
-   * Stage2 process    
-   * ------------------*/
-
-  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.    
-   * So, to loop unroll over blockSize2,    
-   * srcBLen should be greater than or equal to 4 */
-  if(srcBLen >= 4u)
-  {
-    /* Loop unroll by 3 */
-    blkCnt = blockSize2 / 3;
-
-    while(blkCnt > 0u)
-    {
-      /* Set all accumulators to zero */
-      acc0 = 0;
-      acc1 = 0;
-      acc2 = 0;
-
-      /* read x[0], x[1], x[2] samples */
-      x0 = *(px++);
-      x1 = *(px++);
-
-      /* Apply loop unrolling and compute 3 MACs simultaneously. */
-      k = srcBLen / 3;
-
-      /* First part of the processing with loop unrolling.  Compute 3 MACs at a time.        
-       ** a second loop below computes MACs for the remaining 1 to 2 samples. */
-      do
-      {
-        /* Read y[srcBLen - 1] sample */
-        c0 = *(py);
-
-        /* Read x[3] sample */
-        x2 = *(px);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[0] * y[srcBLen - 1] */
-        acc0 += ((q63_t) x0 * c0);
-        /* acc1 +=  x[1] * y[srcBLen - 1] */
-        acc1 += ((q63_t) x1 * c0);
-        /* acc2 +=  x[2] * y[srcBLen - 1] */
-        acc2 += ((q63_t) x2 * c0);
-
-        /* Read y[srcBLen - 2] sample */
-        c0 = *(py - 1u);
-
-        /* Read x[4] sample */
-        x0 = *(px + 1u);
-
-        /* Perform the multiply-accumulate */
-        /* acc0 +=  x[1] * y[srcBLen - 2] */
-        acc0 += ((q63_t) x1 * c0);
-        /* acc1 +=  x[2] * y[srcBLen - 2] */
-        acc1 += ((q63_t) x2 * c0);
-        /* acc2 +=  x[3] * y[srcBLen - 2] */
-        acc2 += ((q63_t) x0 * c0);
-
-        /* Read y[srcBLen - 3] sample */
-        c0 = *(py - 2u);
-
-        /* Read x[5] sample */
-        x1 = *(px + 2u);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[2] * y[srcBLen - 3] */
-        acc0 += ((q63_t) x2 * c0);
-        /* acc1 +=  x[3] * y[srcBLen - 2] */
-        acc1 += ((q63_t) x0 * c0);
-        /* acc2 +=  x[4] * y[srcBLen - 2] */
-        acc2 += ((q63_t) x1 * c0);
-
-        /* update scratch pointers */
-        px += 3u;
-        py -= 3u;
-
-      } while(--k);
-
-      /* If the srcBLen is not a multiple of 3, compute any remaining MACs here.        
-       ** No loop unrolling is used. */
-      k = srcBLen - (3 * (srcBLen / 3));
-
-      while(k > 0u)
-      {
-        /* Read y[srcBLen - 5] sample */
-        c0 = *(py--);
-
-        /* Read x[7] sample */
-        x2 = *(px++);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[4] * y[srcBLen - 5] */
-        acc0 += ((q63_t) x0 * c0);
-        /* acc1 +=  x[5] * y[srcBLen - 5] */
-        acc1 += ((q63_t) x1 * c0);
-        /* acc2 +=  x[6] * y[srcBLen - 5] */
-        acc2 += ((q63_t) x2 * c0);
-
-        /* Reuse the present samples for the next MAC */
-        x0 = x1;
-        x1 = x2;
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the results in the accumulators in the destination buffer. */
-      *pOut++ = (q31_t) (acc0 >> 31);
-      *pOut++ = (q31_t) (acc1 >> 31);
-      *pOut++ = (q31_t) (acc2 >> 31);
-
-      /* Increment the pointer pIn1 index, count by 3 */
-      count += 3u;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the blockSize2 is not a multiple of 3, compute any remaining output samples here.        
-     ** No loop unrolling is used. */
-    blkCnt = blockSize2 - 3 * (blockSize2 / 3);
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += (q63_t) * px++ * (*py--);
-        sum += (q63_t) * px++ * (*py--);
-        sum += (q63_t) * px++ * (*py--);
-        sum += (q63_t) * px++ * (*py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum += (q63_t) * px++ * (*py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q31_t) (sum >> 31);
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-  else
-  {
-    /* If the srcBLen is not a multiple of 4,    
-     * the blockSize2 loop cannot be unrolled by 4 */
-    blkCnt = blockSize2;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* srcBLen number of MACS should be performed */
-      k = srcBLen;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum += (q63_t) * px++ * (*py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q31_t) (sum >> 31);
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-
-
-  /* --------------------------    
-   * Initializations of stage3    
-   * -------------------------*/
-
-  /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]    
-   * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]    
-   * ....    
-   * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]    
-   * sum +=  x[srcALen-1] * y[srcBLen-1]    
-   */
-
-  /* In this stage the MAC operations are decreased by 1 for every iteration.    
-     The blockSize3 variable holds the number of MAC operations performed */
-
-  /* Working pointer of inputA */
-  pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
-  px = pSrc1;
-
-  /* Working pointer of inputB */
-  pSrc2 = pIn2 + (srcBLen - 1u);
-  py = pSrc2;
-
-  /* -------------------    
-   * Stage3 process    
-   * ------------------*/
-
-  while(blockSize3 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = blockSize3 >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
-      sum += (q63_t) * px++ * (*py--);
-      /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
-      sum += (q63_t) * px++ * (*py--);
-      /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
-      sum += (q63_t) * px++ * (*py--);
-      /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
-      sum += (q63_t) * px++ * (*py--);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here.    
-     ** No loop unrolling is used. */
-    k = blockSize3 % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      sum += (q63_t) * px++ * (*py--);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = (q31_t) (sum >> 31);
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    px = ++pSrc1;
-    py = pSrc2;
-
-    /* Decrement the loop counter */
-    blockSize3--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  q31_t *pIn1 = pSrcA;                           /* input pointer */
-  q31_t *pIn2 = pSrcB;                           /* coefficient pointer */
-  q63_t sum;                                     /* Accumulator */
-  uint32_t i, j;                                 /* loop counter */
-
-  /* Loop to calculate output of convolution for output length number of times */
-  for (i = 0; i < (srcALen + srcBLen - 1); i++)
-  {
-    /* Initialize sum with zero to carry on MAC operations */
-    sum = 0;
-
-    /* Loop to perform MAC operations according to convolution equation */
-    for (j = 0; j <= i; j++)
-    {
-      /* Check the array limitations */
-      if(((i - j) < srcBLen) && (j < srcALen))
-      {
-        /* z[i] += x[i-j] * y[j] */
-        sum += ((q63_t) pIn1[j] * (pIn2[i - j]));
-      }
-    }
-
-    /* Store the output in the destination buffer */
-    pDst[i] = (q31_t) (sum >> 31u);
-  }
-
-#endif /*     #ifndef ARM_MATH_CM0 */
-
-}
-
-/**    
- * @} end of Conv group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_q7.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_q7.c
deleted file mode 100644
index eb78fd533..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_q7.c
+++ /dev/null
@@ -1,689 +0,0 @@
-/* ----------------------------------------------------------------------   
-* Copyright (C) 2010 ARM Limited. All rights reserved.   
-*   
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*   
-* Project: 	    CMSIS DSP Library   
-* Title:		arm_conv_q7.c   
-*   
-* Description:	Convolution of Q7 sequences. 
-*   
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*  
-* Version 1.0.11 2011/10/18 
-*    Bug Fix in conv, correlation, partial convolution. 
-*
-* Version 1.0.10 2011/7/15 
-*    Big Endian support added and Merged M0 and M3/M4 Source code.  
-*   
-* Version 1.0.3 2010/11/29  
-*    Re-organized the CMSIS folders and updated documentation.   
-*    
-* Version 1.0.2 2010/11/11   
-*    Documentation updated.    
-*   
-* Version 1.0.1 2010/10/05    
-*    Production release and review comments incorporated.   
-*   
-* Version 1.0.0 2010/09/20    
-*    Production release and review comments incorporated   
-*   
-* Version 0.0.7  2010/06/10    
-*    Misra-C changes done   
-*   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**   
- * @ingroup groupFilters   
- */
-
-/**   
- * @addtogroup Conv   
- * @{   
- */
-
-/**   
- * @brief Convolution of Q7 sequences.   
- * @param[in] *pSrcA points to the first input sequence.   
- * @param[in] srcALen length of the first input sequence.   
- * @param[in] *pSrcB points to the second input sequence.   
- * @param[in] srcBLen length of the second input sequence.   
- * @param[out] *pDst points to the location where the output result is written.  Length srcALen+srcBLen-1.   
- * @return none.   
- *   
- * @details   
- * Scaling and Overflow Behavior:   
- *   
- * \par   
- * The function is implemented using a 32-bit internal accumulator.   
- * Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result.   
- * The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format.   
- * This approach provides 17 guard bits and there is no risk of overflow as long as max(srcALen, srcBLen)<131072.   
- * The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and then saturated to 1.7 format.   
- *
- * \par    
- * Refer the function arm_conv_opt_q7() for a faster implementation of this function.
- * 
- */
-
-void arm_conv_q7(
-  q7_t * pSrcA,
-  uint32_t srcALen,
-  q7_t * pSrcB,
-  uint32_t srcBLen,
-  q7_t * pDst)
-{
-
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q7_t *pIn1;                                    /* inputA pointer */
-  q7_t *pIn2;                                    /* inputB pointer */
-  q7_t *pOut = pDst;                             /* output pointer */
-  q7_t *px;                                      /* Intermediate inputA pointer */
-  q7_t *py;                                      /* Intermediate inputB pointer */
-  q7_t *pSrc1, *pSrc2;                           /* Intermediate pointers */
-  q7_t x0, x1, x2, x3, c0, c1;                   /* Temporary variables to hold state and coefficient values */
-  q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulator */
-  q31_t input1, input2;                          /* Temporary input variables */
-  q15_t in1, in2;                                /* Temporary input variables */
-  uint32_t j, k, count, blkCnt, blockSize1, blockSize2, blockSize3;     /* loop counter */
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcA;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcB;
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcB;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcA;
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-  }
-
-  /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
-  /* The function is internally   
-   * divided into three stages according to the number of multiplications that has to be   
-   * taken place between inputA samples and inputB samples. In the first stage of the   
-   * algorithm, the multiplications increase by one for every iteration.   
-   * In the second stage of the algorithm, srcBLen number of multiplications are done.   
-   * In the third stage of the algorithm, the multiplications decrease by one   
-   * for every iteration. */
-
-  /* The algorithm is implemented in three stages.   
-     The loop counters of each stage is initiated here. */
-  blockSize1 = srcBLen - 1u;
-  blockSize2 = (srcALen - srcBLen) + 1u;
-  blockSize3 = blockSize1;
-
-  /* --------------------------   
-   * Initializations of stage1   
-   * -------------------------*/
-
-  /* sum = x[0] * y[0]   
-   * sum = x[0] * y[1] + x[1] * y[0]   
-   * ....   
-   * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]   
-   */
-
-  /* In this stage the MAC operations are increased by 1 for every iteration.   
-     The count variable holds the number of MAC operations performed */
-  count = 1u;
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-
-  /* ------------------------   
-   * Stage1 process   
-   * ----------------------*/
-
-  /* The first stage starts here */
-  while(blockSize1 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* x[0] , x[1] */
-      in1 = (q15_t) * px++;
-      in2 = (q15_t) * px++;
-      input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-      /* y[srcBLen - 1] , y[srcBLen - 2] */
-      in1 = (q15_t) * py--;
-      in2 = (q15_t) * py--;
-      input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-      /* x[0] * y[srcBLen - 1] */
-      /* x[1] * y[srcBLen - 2] */
-      sum = __SMLAD(input1, input2, sum);
-
-      /* x[2] , x[3] */
-      in1 = (q15_t) * px++;
-      in2 = (q15_t) * px++;
-      input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-      /* y[srcBLen - 3] , y[srcBLen - 4] */
-      in1 = (q15_t) * py--;
-      in2 = (q15_t) * py--;
-      input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-      /* x[2] * y[srcBLen - 3] */
-      /* x[3] * y[srcBLen - 4] */
-      sum = __SMLAD(input1, input2, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.   
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      sum += ((q15_t) * px++ * *py--);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = (q7_t) (__SSAT(sum >> 7u, 8));
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    py = pIn2 + count;
-    px = pIn1;
-
-    /* Increment the MAC count */
-    count++;
-
-    /* Decrement the loop counter */
-    blockSize1--;
-  }
-
-  /* --------------------------   
-   * Initializations of stage2   
-   * ------------------------*/
-
-  /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]   
-   * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]   
-   * ....   
-   * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]   
-   */
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  pSrc2 = pIn2 + (srcBLen - 1u);
-  py = pSrc2;
-
-  /* count is index by which the pointer pIn1 to be incremented */
-  count = 0u;
-
-  /* -------------------   
-   * Stage2 process   
-   * ------------------*/
-
-  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.   
-   * So, to loop unroll over blockSize2,   
-   * srcBLen should be greater than or equal to 4 */
-  if(srcBLen >= 4u)
-  {
-    /* Loop unroll over blockSize2, by 4 */
-    blkCnt = blockSize2 >> 2u;
-
-    while(blkCnt > 0u)
-    {
-      /* Set all accumulators to zero */
-      acc0 = 0;
-      acc1 = 0;
-      acc2 = 0;
-      acc3 = 0;
-
-      /* read x[0], x[1], x[2] samples */
-      x0 = *(px++);
-      x1 = *(px++);
-      x2 = *(px++);
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      do
-      {
-        /* Read y[srcBLen - 1] sample */
-        c0 = *(py--);
-        /* Read y[srcBLen - 2] sample */
-        c1 = *(py--);
-
-        /* Read x[3] sample */
-        x3 = *(px++);
-
-        /* x[0] and x[1] are packed */
-        in1 = (q15_t) x0;
-        in2 = (q15_t) x1;
-
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-        /* y[srcBLen - 1]   and y[srcBLen - 2] are packed */
-        in1 = (q15_t) c0;
-        in2 = (q15_t) c1;
-
-        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-        /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2]  */
-        acc0 = __SMLAD(input1, input2, acc0);
-
-        /* x[1] and x[2] are packed */
-        in1 = (q15_t) x1;
-        in2 = (q15_t) x2;
-
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-        /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2]  */
-        acc1 = __SMLAD(input1, input2, acc1);
-
-        /* x[2] and x[3] are packed */
-        in1 = (q15_t) x2;
-        in2 = (q15_t) x3;
-
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-        /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2]  */
-        acc2 = __SMLAD(input1, input2, acc2);
-
-        /* Read x[4] sample */
-        x0 = *(px++);
-
-        /* x[3] and x[4] are packed */
-        in1 = (q15_t) x3;
-        in2 = (q15_t) x0;
-
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-        /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2]  */
-        acc3 = __SMLAD(input1, input2, acc3);
-
-        /* Read y[srcBLen - 3] sample */
-        c0 = *(py--);
-        /* Read y[srcBLen - 4] sample */
-        c1 = *(py--);
-
-        /* Read x[5] sample */
-        x1 = *(px++);
-
-        /* x[2] and x[3] are packed */
-        in1 = (q15_t) x2;
-        in2 = (q15_t) x3;
-
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-        /* y[srcBLen - 3] and y[srcBLen - 4] are packed */
-        in1 = (q15_t) c0;
-        in2 = (q15_t) c1;
-
-        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-        /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4]  */
-        acc0 = __SMLAD(input1, input2, acc0);
-
-        /* x[3] and x[4] are packed */
-        in1 = (q15_t) x3;
-        in2 = (q15_t) x0;
-
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-        /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4]  */
-        acc1 = __SMLAD(input1, input2, acc1);
-
-        /* x[4] and x[5] are packed */
-        in1 = (q15_t) x0;
-        in2 = (q15_t) x1;
-
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-        /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4]  */
-        acc2 = __SMLAD(input1, input2, acc2);
-
-        /* Read x[6] sample */
-        x2 = *(px++);
-
-        /* x[5] and x[6] are packed */
-        in1 = (q15_t) x1;
-        in2 = (q15_t) x2;
-
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-        /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4]  */
-        acc3 = __SMLAD(input1, input2, acc3);
-
-      } while(--k);
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Read y[srcBLen - 5] sample */
-        c0 = *(py--);
-
-        /* Read x[7] sample */
-        x3 = *(px++);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[4] * y[srcBLen - 5] */
-        acc0 += ((q15_t) x0 * c0);
-        /* acc1 +=  x[5] * y[srcBLen - 5] */
-        acc1 += ((q15_t) x1 * c0);
-        /* acc2 +=  x[6] * y[srcBLen - 5] */
-        acc2 += ((q15_t) x2 * c0);
-        /* acc3 +=  x[7] * y[srcBLen - 5] */
-        acc3 += ((q15_t) x3 * c0);
-
-        /* Reuse the present samples for the next MAC */
-        x0 = x1;
-        x1 = x2;
-        x2 = x3;
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q7_t) (__SSAT(acc0 >> 7u, 8));
-      *pOut++ = (q7_t) (__SSAT(acc1 >> 7u, 8));
-      *pOut++ = (q7_t) (__SSAT(acc2 >> 7u, 8));
-      *pOut++ = (q7_t) (__SSAT(acc3 >> 7u, 8));
-
-      /* Increment the pointer pIn1 index, count by 4 */
-      count += 4u;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.   
-     ** No loop unrolling is used. */
-    blkCnt = blockSize2 % 0x4u;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-
-        /* Reading two inputs of SrcA buffer and packing */
-        in1 = (q15_t) * px++;
-        in2 = (q15_t) * px++;
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-        /* Reading two inputs of SrcB buffer and packing */
-        in1 = (q15_t) * py--;
-        in2 = (q15_t) * py--;
-        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-        /* Perform the multiply-accumulates */
-        sum = __SMLAD(input1, input2, sum);
-
-        /* Reading two inputs of SrcA buffer and packing */
-        in1 = (q15_t) * px++;
-        in2 = (q15_t) * px++;
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-        /* Reading two inputs of SrcB buffer and packing */
-        in1 = (q15_t) * py--;
-        in2 = (q15_t) * py--;
-        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-        /* Perform the multiply-accumulates */
-        sum = __SMLAD(input1, input2, sum);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += ((q15_t) * px++ * *py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q7_t) (__SSAT(sum >> 7u, 8));
-
-      /* Increment the pointer pIn1 index, count by 1 */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-  else
-  {
-    /* If the srcBLen is not a multiple of 4,   
-     * the blockSize2 loop cannot be unrolled by 4 */
-    blkCnt = blockSize2;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* srcBLen number of MACS should be performed */
-      k = srcBLen;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum += ((q15_t) * px++ * *py--);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut++ = (q7_t) (__SSAT(sum >> 7u, 8));
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pSrc2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-
-
-  /* --------------------------   
-   * Initializations of stage3   
-   * -------------------------*/
-
-  /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]   
-   * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]   
-   * ....   
-   * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]   
-   * sum +=  x[srcALen-1] * y[srcBLen-1]   
-   */
-
-  /* In this stage the MAC operations are decreased by 1 for every iteration.   
-     The blockSize3 variable holds the number of MAC operations performed */
-
-  /* Working pointer of inputA */
-  pSrc1 = pIn1 + (srcALen - (srcBLen - 1u));
-  px = pSrc1;
-
-  /* Working pointer of inputB */
-  pSrc2 = pIn2 + (srcBLen - 1u);
-  py = pSrc2;
-
-  /* -------------------   
-   * Stage3 process   
-   * ------------------*/
-
-  while(blockSize3 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = blockSize3 >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* Reading two inputs, x[srcALen - srcBLen + 1] and x[srcALen - srcBLen + 2] of SrcA buffer and packing */
-      in1 = (q15_t) * px++;
-      in2 = (q15_t) * px++;
-      input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-      /* Reading two inputs, y[srcBLen - 1] and y[srcBLen - 2] of SrcB buffer and packing */
-      in1 = (q15_t) * py--;
-      in2 = (q15_t) * py--;
-      input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-      /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
-      /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
-      sum = __SMLAD(input1, input2, sum);
-
-      /* Reading two inputs, x[srcALen - srcBLen + 3] and x[srcALen - srcBLen + 4] of SrcA buffer and packing */
-      in1 = (q15_t) * px++;
-      in2 = (q15_t) * px++;
-      input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-      /* Reading two inputs, y[srcBLen - 3] and y[srcBLen - 4] of SrcB buffer and packing */
-      in1 = (q15_t) * py--;
-      in2 = (q15_t) * py--;
-      input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
-
-      /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
-      /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
-      sum = __SMLAD(input1, input2, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here.   
-     ** No loop unrolling is used. */
-    k = blockSize3 % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      sum += ((q15_t) * px++ * *py--);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut++ = (q7_t) (__SSAT(sum >> 7u, 8));
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    px = ++pSrc1;
-    py = pSrc2;
-
-    /* Decrement the loop counter */
-    blockSize3--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  q7_t *pIn1 = pSrcA;                            /* input pointer */
-  q7_t *pIn2 = pSrcB;                            /* coefficient pointer */
-  q31_t sum;                                     /* Accumulator */
-  uint32_t i, j;                                 /* loop counter */
-
-  /* Loop to calculate output of convolution for output length number of times */
-  for (i = 0; i < (srcALen + srcBLen - 1); i++)
-  {
-    /* Initialize sum with zero to carry on MAC operations */
-    sum = 0;
-
-    /* Loop to perform MAC operations according to convolution equation */
-    for (j = 0; j <= i; j++)
-    {
-      /* Check the array limitations */
-      if(((i - j) < srcBLen) && (j < srcALen))
-      {
-        /* z[i] += x[i-j] * y[j] */
-        sum += (q15_t) pIn1[j] * (pIn2[i - j]);
-      }
-    }
-
-    /* Store the output in the destination buffer */
-    pDst[i] = (q7_t) __SSAT((sum >> 7u), 8u);
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0        */
-
-}
-
-/**   
- * @} end of Conv group   
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_f32.c
deleted file mode 100644
index 6a99eafc1..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_f32.c
+++ /dev/null
@@ -1,738 +0,0 @@
-/* ----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_correlate_f32.c    
-*    
-* Description:	 Correlation of floating-point sequences.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-* 
-* Version 1.0.11 2011/10/18  
-*    Bug Fix in conv, correlation, partial convolution.  
-* 
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-*    
-* -------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @defgroup Corr Correlation    
- *    
- * Correlation is a mathematical operation that is similar to convolution.    
- * As with convolution, correlation uses two signals to produce a third signal.    
- * The underlying algorithms in correlation and convolution are identical except that one of the inputs is flipped in convolution.    
- * Correlation is commonly used to measure the similarity between two signals.    
- * It has applications in pattern recognition, cryptanalysis, and searching.    
- * The CMSIS library provides correlation functions for Q7, Q15, Q31 and floating-point data types.    
- * Fast versions of the Q15 and Q31 functions are also provided.    
- *    
- * \par Algorithm    
- * Let a[n] and b[n] be sequences of length srcALen and srcBLen samples respectively.    
- * The convolution of the two signals is denoted by    
- * 
    
- *                   c[n] = a[n] * b[n]    
- * 
    
- * In correlation, one of the signals is flipped in time    
- * 
    
- *                   c[n] = a[n] * b[-n]    
- * 
    
- *    
- * \par    
- * and this is mathematically defined as    
- * \image html CorrelateEquation.gif    
- * \par    
- * The pSrcA points to the first input vector of length srcALen and pSrcB points to the second input vector of length srcBLen.    
- * The result c[n] is of length 2 * max(srcALen, srcBLen) - 1 and is defined over the interval n=0, 1, 2, ..., (2 * max(srcALen, srcBLen) - 2).    
- * The output result is written to pDst and the calling function must allocate 2 * max(srcALen, srcBLen) - 1 words for the result.    
- *    
- * Note   
- * \par  
- * The pDst should be initialized to all zeros before being used.  
- *  
- * Fixed-Point Behavior    
- * \par    
- * Correlation requires summing up a large number of intermediate products.    
- * As such, the Q7, Q15, and Q31 functions run a risk of overflow and saturation.    
- * Refer to the function specific documentation below for further details of the particular algorithm used.    
- *
- *
- * Fast Versions
- *
- * \par 
- * Fast versions are supported for Q31 and Q15.  Cycles for Fast versions are less compared to Q31 and Q15 of correlate and the design requires
- * the input signals should be scaled down to avoid intermediate overflows.   
- *
- *
- * Opt Versions
- *
- * \par 
- * Opt versions are supported for Q15 and Q7.  Design uses internal scratch buffer for getting good optimisation.
- * These versions are optimised in cycles and consumes more memory(Scratch memory) compared to Q15 and Q7 versions of correlate 
- */
-
-/**    
- * @addtogroup Corr    
- * @{    
- */
-/**    
- * @brief Correlation of floating-point sequences.    
- * @param[in]  *pSrcA points to the first input sequence.    
- * @param[in]  srcALen length of the first input sequence.    
- * @param[in]  *pSrcB points to the second input sequence.    
- * @param[in]  srcBLen length of the second input sequence.    
- * @param[out] *pDst points to the location where the output result is written.  Length 2 * max(srcALen, srcBLen) - 1.    
- * @return none.    
- */
-
-void arm_correlate_f32(
-  float32_t * pSrcA,
-  uint32_t srcALen,
-  float32_t * pSrcB,
-  uint32_t srcBLen,
-  float32_t * pDst)
-{
-
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  float32_t *pIn1;                               /* inputA pointer */
-  float32_t *pIn2;                               /* inputB pointer */
-  float32_t *pOut = pDst;                        /* output pointer */
-  float32_t *px;                                 /* Intermediate inputA pointer */
-  float32_t *py;                                 /* Intermediate inputB pointer */
-  float32_t *pSrc1;                              /* Intermediate pointers */
-  float32_t sum, acc0, acc1, acc2, acc3;         /* Accumulators */
-  float32_t x0, x1, x2, x3, c0;                  /* temporary variables for holding input and coefficient values */
-  uint32_t j, k = 0u, count, blkCnt, outBlockSize, blockSize1, blockSize2, blockSize3;  /* loop counters */
-  int32_t inc = 1;                               /* Destination address modifier */
-
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  /* But CORR(x, y) is reverse of CORR(y, x) */
-  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
-  /* and the destination pointer modifier, inc is set to -1 */
-  /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
-  /* But to improve the performance,    
-   * we include zeroes in the output instead of zero padding either of the the inputs*/
-  /* If srcALen > srcBLen,    
-   * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
-  /* If srcALen < srcBLen,    
-   * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcA;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcB;
-
-    /* Number of output samples is calculated */
-    outBlockSize = (2u * srcALen) - 1u;
-
-    /* When srcALen > srcBLen, zero padding has to be done to srcB    
-     * to make their lengths equal.    
-     * Instead, (outBlockSize - (srcALen + srcBLen - 1))    
-     * number of output samples are made zero */
-    j = outBlockSize - (srcALen + (srcBLen - 1u));
-
-    /* Updating the pointer position to non zero value */
-    pOut += j;
-
-    //while(j > 0u)   
-    //{   
-    //  /* Zero is stored in the destination buffer */   
-    //  *pOut++ = 0.0f;   
-
-    //  /* Decrement the loop counter */   
-    //  j--;   
-    //}   
-
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = pSrcB;
-
-    /* Initialization of inputB pointer */
-    pIn2 = pSrcA;
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-
-    /* CORR(x, y) = Reverse order(CORR(y, x)) */
-    /* Hence set the destination pointer to point to the last output sample */
-    pOut = pDst + ((srcALen + srcBLen) - 2u);
-
-    /* Destination address modifier is set to -1 */
-    inc = -1;
-
-  }
-
-  /* The function is internally    
-   * divided into three parts according to the number of multiplications that has to be    
-   * taken place between inputA samples and inputB samples. In the first part of the    
-   * algorithm, the multiplications increase by one for every iteration.    
-   * In the second part of the algorithm, srcBLen number of multiplications are done.    
-   * In the third part of the algorithm, the multiplications decrease by one    
-   * for every iteration.*/
-  /* The algorithm is implemented in three stages.    
-   * The loop counters of each stage is initiated here. */
-  blockSize1 = srcBLen - 1u;
-  blockSize2 = srcALen - (srcBLen - 1u);
-  blockSize3 = blockSize1;
-
-  /* --------------------------    
-   * Initializations of stage1    
-   * -------------------------*/
-
-  /* sum = x[0] * y[srcBlen - 1]    
-   * sum = x[0] * y[srcBlen-2] + x[1] * y[srcBlen - 1]    
-   * ....    
-   * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]    
-   */
-
-  /* In this stage the MAC operations are increased by 1 for every iteration.    
-     The count variable holds the number of MAC operations performed */
-  count = 1u;
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  pSrc1 = pIn2 + (srcBLen - 1u);
-  py = pSrc1;
-
-  /* ------------------------    
-   * Stage1 process    
-   * ----------------------*/
-
-  /* The first stage starts here */
-  while(blockSize1 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0.0f;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* x[0] * y[srcBLen - 4] */
-      sum += *px++ * *py++;
-      /* x[1] * y[srcBLen - 3] */
-      sum += *px++ * *py++;
-      /* x[2] * y[srcBLen - 2] */
-      sum += *px++ * *py++;
-      /* x[3] * y[srcBLen - 1] */
-      sum += *px++ * *py++;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.    
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      /* x[0] * y[srcBLen - 1] */
-      sum += *px++ * *py++;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut = sum;
-    /* Destination pointer is updated according to the address modifier, inc */
-    pOut += inc;
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    py = pSrc1 - count;
-    px = pIn1;
-
-    /* Increment the MAC count */
-    count++;
-
-    /* Decrement the loop counter */
-    blockSize1--;
-  }
-
-  /* --------------------------    
-   * Initializations of stage2    
-   * ------------------------*/
-
-  /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]    
-   * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]    
-   * ....    
-   * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]    
-   */
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-  /* count is index by which the pointer pIn1 to be incremented */
-  count = 0u;
-
-  /* -------------------    
-   * Stage2 process    
-   * ------------------*/
-
-  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.    
-   * So, to loop unroll over blockSize2,    
-   * srcBLen should be greater than or equal to 4, to loop unroll the srcBLen loop */
-  if(srcBLen >= 4u)
-  {
-    /* Loop unroll over blockSize2, by 4 */
-    blkCnt = blockSize2 >> 2u;
-
-    while(blkCnt > 0u)
-    {
-      /* Set all accumulators to zero */
-      acc0 = 0.0f;
-      acc1 = 0.0f;
-      acc2 = 0.0f;
-      acc3 = 0.0f;
-
-      /* read x[0], x[1], x[2] samples */
-      x0 = *(px++);
-      x1 = *(px++);
-      x2 = *(px++);
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      do
-      {
-        /* Read y[0] sample */
-        c0 = *(py++);
-
-        /* Read x[3] sample */
-        x3 = *(px++);
-
-        /* Perform the multiply-accumulate */
-        /* acc0 +=  x[0] * y[0] */
-        acc0 += x0 * c0;
-        /* acc1 +=  x[1] * y[0] */
-        acc1 += x1 * c0;
-        /* acc2 +=  x[2] * y[0] */
-        acc2 += x2 * c0;
-        /* acc3 +=  x[3] * y[0] */
-        acc3 += x3 * c0;
-
-        /* Read y[1] sample */
-        c0 = *(py++);
-
-        /* Read x[4] sample */
-        x0 = *(px++);
-
-        /* Perform the multiply-accumulate */
-        /* acc0 +=  x[1] * y[1] */
-        acc0 += x1 * c0;
-        /* acc1 +=  x[2] * y[1] */
-        acc1 += x2 * c0;
-        /* acc2 +=  x[3] * y[1] */
-        acc2 += x3 * c0;
-        /* acc3 +=  x[4] * y[1] */
-        acc3 += x0 * c0;
-
-        /* Read y[2] sample */
-        c0 = *(py++);
-
-        /* Read x[5] sample */
-        x1 = *(px++);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[2] * y[2] */
-        acc0 += x2 * c0;
-        /* acc1 +=  x[3] * y[2] */
-        acc1 += x3 * c0;
-        /* acc2 +=  x[4] * y[2] */
-        acc2 += x0 * c0;
-        /* acc3 +=  x[5] * y[2] */
-        acc3 += x1 * c0;
-
-        /* Read y[3] sample */
-        c0 = *(py++);
-
-        /* Read x[6] sample */
-        x2 = *(px++);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[3] * y[3] */
-        acc0 += x3 * c0;
-        /* acc1 +=  x[4] * y[3] */
-        acc1 += x0 * c0;
-        /* acc2 +=  x[5] * y[3] */
-        acc2 += x1 * c0;
-        /* acc3 +=  x[6] * y[3] */
-        acc3 += x2 * c0;
-
-
-      } while(--k);
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Read y[4] sample */
-        c0 = *(py++);
-
-        /* Read x[7] sample */
-        x3 = *(px++);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[4] * y[4] */
-        acc0 += x0 * c0;
-        /* acc1 +=  x[5] * y[4] */
-        acc1 += x1 * c0;
-        /* acc2 +=  x[6] * y[4] */
-        acc2 += x2 * c0;
-        /* acc3 +=  x[7] * y[4] */
-        acc3 += x3 * c0;
-
-        /* Reuse the present samples for the next MAC */
-        x0 = x1;
-        x1 = x2;
-        x2 = x3;
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = acc0;
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      *pOut = acc1;
-      pOut += inc;
-
-      *pOut = acc2;
-      pOut += inc;
-
-      *pOut = acc3;
-      pOut += inc;
-
-      /* Increment the pointer pIn1 index, count by 4 */
-      count += 4u;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.    
-     ** No loop unrolling is used. */
-    blkCnt = blockSize2 % 0x4u;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0.0f;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += *px++ * *py++;
-        sum += *px++ * *py++;
-        sum += *px++ * *py++;
-        sum += *px++ * *py++;
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum += *px++ * *py++;
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = sum;
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      /* Increment the pointer pIn1 index, count by 1 */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-  else
-  {
-    /* If the srcBLen is not a multiple of 4,    
-     * the blockSize2 loop cannot be unrolled by 4 */
-    blkCnt = blockSize2;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0.0f;
-
-      /* Loop over srcBLen */
-      k = srcBLen;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum += *px++ * *py++;
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = sum;
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      /* Increment the pointer pIn1 index, count by 1 */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-
-  /* --------------------------    
-   * Initializations of stage3    
-   * -------------------------*/
-
-  /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]    
-   * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]    
-   * ....    
-   * sum +=  x[srcALen-2] * y[0] + x[srcALen-1] * y[1]    
-   * sum +=  x[srcALen-1] * y[0]    
-   */
-
-  /* In this stage the MAC operations are decreased by 1 for every iteration.    
-     The count variable holds the number of MAC operations performed */
-  count = srcBLen - 1u;
-
-  /* Working pointer of inputA */
-  pSrc1 = pIn1 + (srcALen - (srcBLen - 1u));
-  px = pSrc1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-  /* -------------------    
-   * Stage3 process    
-   * ------------------*/
-
-  while(blockSize3 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0.0f;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      /* sum += x[srcALen - srcBLen + 4] * y[3] */
-      sum += *px++ * *py++;
-      /* sum += x[srcALen - srcBLen + 3] * y[2] */
-      sum += *px++ * *py++;
-      /* sum += x[srcALen - srcBLen + 2] * y[1] */
-      sum += *px++ * *py++;
-      /* sum += x[srcALen - srcBLen + 1] * y[0] */
-      sum += *px++ * *py++;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.    
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      sum += *px++ * *py++;
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut = sum;
-    /* Destination pointer is updated according to the address modifier, inc */
-    pOut += inc;
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    px = ++pSrc1;
-    py = pIn2;
-
-    /* Decrement the MAC count */
-    count--;
-
-    /* Decrement the loop counter */
-    blockSize3--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  float32_t *pIn1 = pSrcA;                       /* inputA pointer */
-  float32_t *pIn2 = pSrcB + (srcBLen - 1u);      /* inputB pointer */
-  float32_t sum;                                 /* Accumulator */
-  uint32_t i = 0u, j;                            /* loop counters */
-  uint32_t inv = 0u;                             /* Reverse order flag */
-  uint32_t tot = 0u;                             /* Length */
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  /* But CORR(x, y) is reverse of CORR(y, x) */
-  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
-  /* and a varaible, inv is set to 1 */
-  /* If lengths are not equal then zero pad has to be done to  make the two    
-   * inputs of same length. But to improve the performance, we include zeroes    
-   * in the output instead of zero padding either of the the inputs*/
-  /* If srcALen > srcBLen, (srcALen - srcBLen) zeroes has to included in the    
-   * starting of the output buffer */
-  /* If srcALen < srcBLen, (srcALen - srcBLen) zeroes has to included in the   
-   * ending of the output buffer */
-  /* Once the zero padding is done the remaining of the output is calcualted   
-   * using convolution but with the shorter signal time shifted. */
-
-  /* Calculate the length of the remaining sequence */
-  tot = ((srcALen + srcBLen) - 2u);
-
-  if(srcALen > srcBLen)
-  {
-    /* Calculating the number of zeros to be padded to the output */
-    j = srcALen - srcBLen;
-
-    /* Initialise the pointer after zero padding */
-    pDst += j;
-  }
-
-  else if(srcALen < srcBLen)
-  {
-    /* Initialization to inputB pointer */
-    pIn1 = pSrcB;
-
-    /* Initialization to the end of inputA pointer */
-    pIn2 = pSrcA + (srcALen - 1u);
-
-    /* Initialisation of the pointer after zero padding */
-    pDst = pDst + tot;
-
-    /* Swapping the lengths */
-    j = srcALen;
-    srcALen = srcBLen;
-    srcBLen = j;
-
-    /* Setting the reverse flag */
-    inv = 1;
-
-  }
-
-  /* Loop to calculate convolution for output length number of times */
-  for (i = 0u; i <= tot; i++)
-  {
-    /* Initialize sum with zero to carry on MAC operations */
-    sum = 0.0f;
-
-    /* Loop to perform MAC operations according to convolution equation */
-    for (j = 0u; j <= i; j++)
-    {
-      /* Check the array limitations */
-      if((((i - j) < srcBLen) && (j < srcALen)))
-      {
-        /* z[i] += x[i-j] * y[j] */
-        sum += pIn1[j] * pIn2[-((int32_t) i - j)];
-      }
-    }
-    /* Store the output in the destination buffer */
-    if(inv == 1)
-      *pDst-- = sum;
-    else
-      *pDst++ = sum;
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0 */
-
-}
-
-/**    
- * @} end of Corr group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_fast_opt_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_fast_opt_q15.c
deleted file mode 100644
index a99225a2f..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_fast_opt_q15.c
+++ /dev/null
@@ -1,507 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_correlate_fast_opt_q15.c    
-*    
-* Description:	Fast Q15 Correlation.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-* 
-* Version 1.0.11 2011/10/18  
-*    Bug Fix in conv, correlation, partial convolution.  
-* 
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup Corr    
- * @{    
- */
-
-/**    
- * @brief Correlation of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.    
- * @param[in] *pSrcA points to the first input sequence.    
- * @param[in] srcALen length of the first input sequence.    
- * @param[in] *pSrcB points to the second input sequence.    
- * @param[in] srcBLen length of the second input sequence.    
- * @param[out] *pDst points to the location where the output result is written.  Length 2 * max(srcALen, srcBLen) - 1.    
- * @param[in]  *pScratch points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.   
- * @return none.    
- *    
- *    
- * \par Restrictions    
- *  If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE    
- *	In this case input, output, scratch buffers should be aligned by 32-bit    
- *    
- *     
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * This fast version uses a 32-bit accumulator with 2.30 format.    
- * The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit.    
- * There is no saturation on intermediate additions.    
- * Thus, if the accumulator overflows it wraps around and distorts the result.    
- * The input signals should be scaled down to avoid intermediate overflows.    
- * Scale down one of the inputs by 1/min(srcALen, srcBLen) to avoid overflow since a    
- * maximum of min(srcALen, srcBLen) number of additions is carried internally.    
- * The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result.    
- *    
- * \par    
- * See arm_correlate_q15() for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion.    
- */
-
-void arm_correlate_fast_opt_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst,
-  q15_t * pScratch)
-{
-  q15_t *pIn1;                                   /* inputA pointer               */
-  q15_t *pIn2;                                   /* inputB pointer               */
-  q31_t acc0, acc1, acc2, acc3;                  /* Accumulators                  */
-  q15_t *py;                                     /* Intermediate inputB pointer  */
-  q31_t x1, x2, x3;                              /* temporary variables for holding input and coefficient values */
-  uint32_t j, blkCnt, outBlockSize;              /* loop counter                 */
-  int32_t inc = 1;                               /* Destination address modifier */
-  uint32_t tapCnt;
-  q31_t y1, y2;
-  q15_t *pScr;                                   /* Intermediate pointers        */
-  q15_t *pOut = pDst;                            /* output pointer               */
-#ifdef UNALIGNED_SUPPORT_DISABLE
-
-  q15_t a, b;
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  /* But CORR(x, y) is reverse of CORR(y, x) */
-  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
-  /* and the destination pointer modifier, inc is set to -1 */
-  /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
-  /* But to improve the performance,        
-   * we include zeroes in the output instead of zero padding either of the the inputs*/
-  /* If srcALen > srcBLen,        
-   * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
-  /* If srcALen < srcBLen,        
-   * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = (pSrcA);
-
-    /* Initialization of inputB pointer */
-    pIn2 = (pSrcB);
-
-    /* Number of output samples is calculated */
-    outBlockSize = (2u * srcALen) - 1u;
-
-    /* When srcALen > srcBLen, zero padding is done to srcB        
-     * to make their lengths equal.        
-     * Instead, (outBlockSize - (srcALen + srcBLen - 1))        
-     * number of output samples are made zero */
-    j = outBlockSize - (srcALen + (srcBLen - 1u));
-
-    /* Updating the pointer position to non zero value */
-    pOut += j;
-
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = (pSrcB);
-
-    /* Initialization of inputB pointer */
-    pIn2 = (pSrcA);
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-
-    /* CORR(x, y) = Reverse order(CORR(y, x)) */
-    /* Hence set the destination pointer to point to the last output sample */
-    pOut = pDst + ((srcALen + srcBLen) - 2u);
-
-    /* Destination address modifier is set to -1 */
-    inc = -1;
-
-  }
-
-  pScr = pScratch;
-
-  /* Fill (srcBLen - 1u) zeros in scratch buffer */
-  arm_fill_q15(0, pScr, (srcBLen - 1u));
-
-  /* Update temporary scratch pointer */
-  pScr += (srcBLen - 1u);
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-  /* Copy (srcALen) samples in scratch buffer */
-  arm_copy_q15(pIn1, pScr, srcALen);
-
-  /* Update pointers */
-  pScr += srcALen;
-
-#else
-
-  /* Apply loop unrolling and do 4 Copies simultaneously. */
-  j = srcALen >> 2u;
-
-  /* First part of the processing with loop unrolling copies 4 data points at a time.       
-   ** a second loop below copies for the remaining 1 to 3 samples. */
-  while(j > 0u)
-  {
-    /* copy second buffer in reversal manner */
-    *pScr++ = *pIn1++;
-    *pScr++ = *pIn1++;
-    *pScr++ = *pIn1++;
-    *pScr++ = *pIn1++;
-
-    /* Decrement the loop counter */
-    j--;
-  }
-
-  /* If the count is not a multiple of 4, copy remaining samples here.       
-   ** No loop unrolling is used. */
-  j = srcALen % 0x4u;
-
-  while(j > 0u)
-  {
-    /* copy second buffer in reversal manner for remaining samples */
-    *pScr++ = *pIn1++;
-
-    /* Decrement the loop counter */
-    j--;
-  }
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-  /* Fill (srcBLen - 1u) zeros at end of scratch buffer */
-  arm_fill_q15(0, pScr, (srcBLen - 1u));
-
-  /* Update pointer */
-  pScr += (srcBLen - 1u);
-
-#else
-
-/* Apply loop unrolling and do 4 Copies simultaneously. */
-  j = (srcBLen - 1u) >> 2u;
-
-  /* First part of the processing with loop unrolling copies 4 data points at a time.       
-   ** a second loop below copies for the remaining 1 to 3 samples. */
-  while(j > 0u)
-  {
-    /* copy second buffer in reversal manner */
-    *pScr++ = 0;
-    *pScr++ = 0;
-    *pScr++ = 0;
-    *pScr++ = 0;
-
-    /* Decrement the loop counter */
-    j--;
-  }
-
-  /* If the count is not a multiple of 4, copy remaining samples here.       
-   ** No loop unrolling is used. */
-  j = (srcBLen - 1u) % 0x4u;
-
-  while(j > 0u)
-  {
-    /* copy second buffer in reversal manner for remaining samples */
-    *pScr++ = 0;
-
-    /* Decrement the loop counter */
-    j--;
-  }
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-  /* Temporary pointer for scratch2 */
-  py = pIn2;
-
-
-  /* Actual correlation process starts here */
-  blkCnt = (srcALen + srcBLen - 1u) >> 2;
-
-  while(blkCnt > 0)
-  {
-    /* Initialze temporary scratch pointer as scratch1 */
-    pScr = pScratch;
-
-    /* Clear Accumlators */
-    acc0 = 0;
-    acc1 = 0;
-    acc2 = 0;
-    acc3 = 0;
-
-    /* Read four samples from scratch1 buffer */
-    x1 = *__SIMD32(pScr)++;
-
-    /* Read next four samples from scratch1 buffer */
-    x2 = *__SIMD32(pScr)++;
-
-    tapCnt = (srcBLen) >> 2u;
-
-    while(tapCnt > 0u)
-    {
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-      /* Read four samples from smaller buffer */
-      y1 = _SIMD32_OFFSET(pIn2);
-      y2 = _SIMD32_OFFSET(pIn2 + 2u);
-
-      acc0 = __SMLAD(x1, y1, acc0);
-
-      acc2 = __SMLAD(x2, y1, acc2);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      acc1 = __SMLADX(x3, y1, acc1);
-
-      x1 = _SIMD32_OFFSET(pScr);
-
-      acc0 = __SMLAD(x2, y2, acc0);
-
-      acc2 = __SMLAD(x1, y2, acc2);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x1, x2, 0);
-#else
-      x3 = __PKHBT(x2, x1, 0);
-#endif
-
-      acc3 = __SMLADX(x3, y1, acc3);
-
-      acc1 = __SMLADX(x3, y2, acc1);
-
-      x2 = _SIMD32_OFFSET(pScr + 2u);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      acc3 = __SMLADX(x3, y2, acc3);
-#else	 
-
-      /* Read four samples from smaller buffer */
-	  a = *pIn2;
-	  b = *(pIn2 + 1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      y1 = __PKHBT(a, b, 16);
-#else
-      y1 = __PKHBT(b, a, 16);
-#endif
-	  
-	  a = *(pIn2 + 2);
-	  b = *(pIn2 + 3);
-#ifndef ARM_MATH_BIG_ENDIAN
-      y2 = __PKHBT(a, b, 16);
-#else
-      y2 = __PKHBT(b, a, 16);
-#endif				
-
-      acc0 = __SMLAD(x1, y1, acc0);
-
-      acc2 = __SMLAD(x2, y1, acc2);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      acc1 = __SMLADX(x3, y1, acc1);
-
-	  a = *pScr;
-	  b = *(pScr + 1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x1 = __PKHBT(a, b, 16);
-#else
-      x1 = __PKHBT(b, a, 16);
-#endif
-
-      acc0 = __SMLAD(x2, y2, acc0);
-
-      acc2 = __SMLAD(x1, y2, acc2);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x1, x2, 0);
-#else
-      x3 = __PKHBT(x2, x1, 0);
-#endif
-
-      acc3 = __SMLADX(x3, y1, acc3);
-
-      acc1 = __SMLADX(x3, y2, acc1);
-
-	  a = *(pScr + 2);
-	  b = *(pScr + 3);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x2 = __PKHBT(a, b, 16);
-#else
-      x2 = __PKHBT(b, a, 16);
-#endif
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      acc3 = __SMLADX(x3, y2, acc3);
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-      pIn2 += 4u;
-
-      pScr += 4u;
-
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-
-
-    /* Update scratch pointer for remaining samples of smaller length sequence */
-    pScr -= 4u;
-
-
-    /* apply same above for remaining samples of smaller length sequence */
-    tapCnt = (srcBLen) & 3u;
-
-    while(tapCnt > 0u)
-    {
-
-      /* accumlate the results */
-      acc0 += (*pScr++ * *pIn2);
-      acc1 += (*pScr++ * *pIn2);
-      acc2 += (*pScr++ * *pIn2);
-      acc3 += (*pScr++ * *pIn2++);
-
-      pScr -= 3u;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    blkCnt--;
-
-
-    /* Store the results in the accumulators in the destination buffer. */
-    *pOut = (__SSAT(acc0 >> 15u, 16));
-    pOut += inc;
-    *pOut = (__SSAT(acc1 >> 15u, 16));
-    pOut += inc;
-    *pOut = (__SSAT(acc2 >> 15u, 16));
-    pOut += inc;
-    *pOut = (__SSAT(acc3 >> 15u, 16));
-    pOut += inc;
-
-
-    /* Initialization of inputB pointer */
-    pIn2 = py;
-
-    pScratch += 4u;
-
-  }
-
-
-  blkCnt = (srcALen + srcBLen - 1u) & 0x3;
-
-  /* Calculate correlation for remaining samples of Bigger length sequence */
-  while(blkCnt > 0)
-  {
-    /* Initialze temporary scratch pointer as scratch1 */
-    pScr = pScratch;
-
-    /* Clear Accumlators */
-    acc0 = 0;
-
-    tapCnt = (srcBLen) >> 1u;
-
-    while(tapCnt > 0u)
-    {
-
-      acc0 += (*pScr++ * *pIn2++);
-      acc0 += (*pScr++ * *pIn2++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    tapCnt = (srcBLen) & 1u;
-
-    /* apply same above for remaining samples of smaller length sequence */
-    while(tapCnt > 0u)
-    {
-
-      /* accumlate the results */
-      acc0 += (*pScr++ * *pIn2++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    blkCnt--;
-
-    /* Store the result in the accumulator in the destination buffer. */
-
-    *pOut = (q15_t) (__SSAT((acc0 >> 15), 16));
-
-    pOut += inc;
-
-    /* Initialization of inputB pointer */
-    pIn2 = py;
-
-    pScratch += 1u;
-
-  }
-}
-
-/**    
- * @} end of Corr group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_fast_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_fast_q15.c
deleted file mode 100644
index 0c79bc896..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_fast_q15.c
+++ /dev/null
@@ -1,1314 +0,0 @@
-/* ----------------------------------------------------------------------   
-* Copyright (C) 2010 ARM Limited. All rights reserved.   
-*   
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*   
-* Project: 	    CMSIS DSP Library   
-* Title:		arm_correlate_fast_q15.c   
-*   
-* Description:	Fast Q15 Correlation.   
-*   
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-* 
-* Version 1.0.11 2011/10/18 
-*    Bug Fix in conv, correlation, partial convolution. 
-*
-* Version 1.0.10 2011/7/15 
-*    Big Endian support added and Merged M0 and M3/M4 Source code.  
-*   
-* Version 1.0.3 2010/11/29  
-*    Re-organized the CMSIS folders and updated documentation.   
-*    
-* Version 1.0.2 2010/11/11   
-*    Documentation updated.    
-*   
-* Version 1.0.1 2010/10/05    
-*    Production release and review comments incorporated.   
-*   
-* Version 1.0.0 2010/09/20    
-*    Production release and review comments incorporated.   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**   
- * @ingroup groupFilters   
- */
-
-/**   
- * @addtogroup Corr   
- * @{   
- */
-
-/**   
- * @brief Correlation of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.   
- * @param[in] *pSrcA points to the first input sequence.   
- * @param[in] srcALen length of the first input sequence.   
- * @param[in] *pSrcB points to the second input sequence.   
- * @param[in] srcBLen length of the second input sequence.   
- * @param[out] *pDst points to the location where the output result is written.  Length 2 * max(srcALen, srcBLen) - 1.   
- * @return none.   
- *   
- * Scaling and Overflow Behavior:   
- *   
- * \par   
- * This fast version uses a 32-bit accumulator with 2.30 format.   
- * The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit.   
- * There is no saturation on intermediate additions.   
- * Thus, if the accumulator overflows it wraps around and distorts the result.   
- * The input signals should be scaled down to avoid intermediate overflows.   
- * Scale down one of the inputs by 1/min(srcALen, srcBLen) to avoid overflow since a   
- * maximum of min(srcALen, srcBLen) number of additions is carried internally.   
- * The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result.   
- *   
- * \par   
- * See arm_correlate_q15() for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion.   
- */
-
-void arm_correlate_fast_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst)
-{
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-  q15_t *pIn1;                                   /* inputA pointer               */
-  q15_t *pIn2;                                   /* inputB pointer               */
-  q15_t *pOut = pDst;                            /* output pointer               */
-  q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulators                  */
-  q15_t *px;                                     /* Intermediate inputA pointer  */
-  q15_t *py;                                     /* Intermediate inputB pointer  */
-  q15_t *pSrc1;                                  /* Intermediate pointers        */
-  q31_t x0, x1, x2, x3, c0;                      /* temporary variables for holding input and coefficient values */
-  uint32_t j, k = 0u, count, blkCnt, outBlockSize, blockSize1, blockSize2, blockSize3;  /* loop counter                 */
-  int32_t inc = 1;                               /* Destination address modifier */
-
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  /* But CORR(x, y) is reverse of CORR(y, x) */
-  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
-  /* and the destination pointer modifier, inc is set to -1 */
-  /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
-  /* But to improve the performance,   
-   * we include zeroes in the output instead of zero padding either of the the inputs*/
-  /* If srcALen > srcBLen,   
-   * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
-  /* If srcALen < srcBLen,   
-   * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = (pSrcA);
-
-    /* Initialization of inputB pointer */
-    pIn2 = (pSrcB);
-
-    /* Number of output samples is calculated */
-    outBlockSize = (2u * srcALen) - 1u;
-
-    /* When srcALen > srcBLen, zero padding is done to srcB   
-     * to make their lengths equal.   
-     * Instead, (outBlockSize - (srcALen + srcBLen - 1))   
-     * number of output samples are made zero */
-    j = outBlockSize - (srcALen + (srcBLen - 1u));
-
-    /* Updating the pointer position to non zero value */
-    pOut += j;
-
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = (pSrcB);
-
-    /* Initialization of inputB pointer */
-    pIn2 = (pSrcA);
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-
-    /* CORR(x, y) = Reverse order(CORR(y, x)) */
-    /* Hence set the destination pointer to point to the last output sample */
-    pOut = pDst + ((srcALen + srcBLen) - 2u);
-
-    /* Destination address modifier is set to -1 */
-    inc = -1;
-
-  }
-
-  /* The function is internally   
-   * divided into three parts according to the number of multiplications that has to be   
-   * taken place between inputA samples and inputB samples. In the first part of the   
-   * algorithm, the multiplications increase by one for every iteration.   
-   * In the second part of the algorithm, srcBLen number of multiplications are done.   
-   * In the third part of the algorithm, the multiplications decrease by one   
-   * for every iteration.*/
-  /* The algorithm is implemented in three stages.   
-   * The loop counters of each stage is initiated here. */
-  blockSize1 = srcBLen - 1u;
-  blockSize2 = srcALen - (srcBLen - 1u);
-  blockSize3 = blockSize1;
-
-  /* --------------------------   
-   * Initializations of stage1   
-   * -------------------------*/
-
-  /* sum = x[0] * y[srcBlen - 1]   
-   * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1]   
-   * ....   
-   * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]   
-   */
-
-  /* In this stage the MAC operations are increased by 1 for every iteration.   
-     The count variable holds the number of MAC operations performed */
-  count = 1u;
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  pSrc1 = pIn2 + (srcBLen - 1u);
-  py = pSrc1;
-
-  /* ------------------------   
-   * Stage1 process   
-   * ----------------------*/
-
-  /* The first loop starts here */
-  while(blockSize1 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* x[0] * y[srcBLen - 4] , x[1] * y[srcBLen - 3] */
-      sum = __SMLAD(*__SIMD32(px)++, *__SIMD32(py)++, sum);
-      /* x[3] * y[srcBLen - 1] , x[2] * y[srcBLen - 2] */
-      sum = __SMLAD(*__SIMD32(px)++, *__SIMD32(py)++, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.   
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      /* x[0] * y[srcBLen - 1] */
-      sum = __SMLAD(*px++, *py++, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut = (q15_t) (sum >> 15);
-    /* Destination pointer is updated according to the address modifier, inc */
-    pOut += inc;
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    py = pSrc1 - count;
-    px = pIn1;
-
-    /* Increment the MAC count */
-    count++;
-
-    /* Decrement the loop counter */
-    blockSize1--;
-  }
-
-  /* --------------------------   
-   * Initializations of stage2   
-   * ------------------------*/
-
-  /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]   
-   * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]   
-   * ....   
-   * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]   
-   */
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-  /* count is index by which the pointer pIn1 to be incremented */
-  count = 0u;
-
-  /* -------------------   
-   * Stage2 process   
-   * ------------------*/
-
-  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.   
-   * So, to loop unroll over blockSize2,   
-   * srcBLen should be greater than or equal to 4, to loop unroll the srcBLen loop */
-  if(srcBLen >= 4u)
-  {
-    /* Loop unroll over blockSize2, by 4 */
-    blkCnt = blockSize2 >> 2u;
-
-    while(blkCnt > 0u)
-    {
-      /* Set all accumulators to zero */
-      acc0 = 0;
-      acc1 = 0;
-      acc2 = 0;
-      acc3 = 0;
-
-      /* read x[0], x[1] samples */
-      x0 = *__SIMD32(px);
-      /* read x[1], x[2] samples */
-      x1 = _SIMD32_OFFSET(px + 1);
-	  px += 2u;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      do
-      {
-        /* Read the first two inputB samples using SIMD:   
-         * y[0] and y[1] */
-        c0 = *__SIMD32(py)++;
-
-        /* acc0 +=  x[0] * y[0] + x[1] * y[1] */
-        acc0 = __SMLAD(x0, c0, acc0);
-
-        /* acc1 +=  x[1] * y[0] + x[2] * y[1] */
-        acc1 = __SMLAD(x1, c0, acc1);
-
-        /* Read x[2], x[3] */
-        x2 = *__SIMD32(px);
-
-        /* Read x[3], x[4] */
-        x3 = _SIMD32_OFFSET(px + 1);
-
-        /* acc2 +=  x[2] * y[0] + x[3] * y[1] */
-        acc2 = __SMLAD(x2, c0, acc2);
-
-        /* acc3 +=  x[3] * y[0] + x[4] * y[1] */
-        acc3 = __SMLAD(x3, c0, acc3);
-
-        /* Read y[2] and y[3] */
-        c0 = *__SIMD32(py)++;
-
-        /* acc0 +=  x[2] * y[2] + x[3] * y[3] */
-        acc0 = __SMLAD(x2, c0, acc0);
-
-        /* acc1 +=  x[3] * y[2] + x[4] * y[3] */
-        acc1 = __SMLAD(x3, c0, acc1);
-
-        /* Read x[4], x[5] */
-        x0 = _SIMD32_OFFSET(px + 2);
-
-        /* Read x[5], x[6] */
-        x1 = _SIMD32_OFFSET(px + 3);
-		px += 4u;
-
-        /* acc2 +=  x[4] * y[2] + x[5] * y[3] */
-        acc2 = __SMLAD(x0, c0, acc2);
-
-        /* acc3 +=  x[5] * y[2] + x[6] * y[3] */
-        acc3 = __SMLAD(x1, c0, acc3);
-
-      } while(--k);
-
-      /* For the next MAC operations, SIMD is not used   
-       * So, the 16 bit pointer if inputB, py is updated */
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      if(k == 1u)
-      {
-        /* Read y[4] */
-        c0 = *py;
-#ifdef  ARM_MATH_BIG_ENDIAN
-
-        c0 = c0 << 16u;
-
-#else
-
-        c0 = c0 & 0x0000FFFF;
-
-#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
-
-        /* Read x[7] */
-        x3 = *__SIMD32(px);
-		px++;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLAD(x0, c0, acc0);
-        acc1 = __SMLAD(x1, c0, acc1);
-        acc2 = __SMLADX(x1, c0, acc2);
-        acc3 = __SMLADX(x3, c0, acc3);
-      }
-
-      if(k == 2u)
-      {
-        /* Read y[4], y[5] */
-        c0 = *__SIMD32(py);
-
-        /* Read x[7], x[8] */
-        x3 = *__SIMD32(px);
-
-        /* Read x[9] */
-        x2 = _SIMD32_OFFSET(px + 1);
-		px += 2u;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLAD(x0, c0, acc0);
-        acc1 = __SMLAD(x1, c0, acc1);
-        acc2 = __SMLAD(x3, c0, acc2);
-        acc3 = __SMLAD(x2, c0, acc3);
-      }
-
-      if(k == 3u)
-      {
-        /* Read y[4], y[5] */
-        c0 = *__SIMD32(py)++;
-
-        /* Read x[7], x[8] */
-        x3 = *__SIMD32(px);
-
-        /* Read x[9] */
-        x2 = _SIMD32_OFFSET(px + 1);
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLAD(x0, c0, acc0);
-        acc1 = __SMLAD(x1, c0, acc1);
-        acc2 = __SMLAD(x3, c0, acc2);
-        acc3 = __SMLAD(x2, c0, acc3);
-
-        c0 = (*py);
-        /* Read y[6] */
-#ifdef  ARM_MATH_BIG_ENDIAN
-
-        c0 = c0 << 16u;
-#else
-
-        c0 = c0 & 0x0000FFFF;
-#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
-
-        /* Read x[10] */
-        x3 = _SIMD32_OFFSET(px + 2);
-		px += 3u;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLADX(x1, c0, acc0);
-        acc1 = __SMLAD(x2, c0, acc1);
-        acc2 = __SMLADX(x2, c0, acc2);
-        acc3 = __SMLADX(x3, c0, acc3);
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = (q15_t) (acc0 >> 15);
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      *pOut = (q15_t) (acc1 >> 15);
-      pOut += inc;
-
-      *pOut = (q15_t) (acc2 >> 15);
-      pOut += inc;
-
-      *pOut = (q15_t) (acc3 >> 15);
-      pOut += inc;
-
-      /* Increment the pointer pIn1 index, count by 1 */
-      count += 4u;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.   
-     ** No loop unrolling is used. */
-    blkCnt = blockSize2 % 0x4u;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += ((q31_t) * px++ * *py++);
-        sum += ((q31_t) * px++ * *py++);
-        sum += ((q31_t) * px++ * *py++);
-        sum += ((q31_t) * px++ * *py++);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += ((q31_t) * px++ * *py++);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = (q15_t) (sum >> 15);
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      /* Increment the pointer pIn1 index, count by 1 */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-  else
-  {
-    /* If the srcBLen is not a multiple of 4,   
-     * the blockSize2 loop cannot be unrolled by 4 */
-    blkCnt = blockSize2;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Loop over srcBLen */
-      k = srcBLen;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum += ((q31_t) * px++ * *py++);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = (q15_t) (sum >> 15);
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-
-  /* --------------------------   
-   * Initializations of stage3   
-   * -------------------------*/
-
-  /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]   
-   * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]   
-   * ....   
-   * sum +=  x[srcALen-2] * y[0] + x[srcALen-1] * y[1]   
-   * sum +=  x[srcALen-1] * y[0]   
-   */
-
-  /* In this stage the MAC operations are decreased by 1 for every iteration.   
-     The count variable holds the number of MAC operations performed */
-  count = srcBLen - 1u;
-
-  /* Working pointer of inputA */
-  pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
-  px = pSrc1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-  /* -------------------   
-   * Stage3 process   
-   * ------------------*/
-
-  while(blockSize3 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      /* sum += x[srcALen - srcBLen + 4] * y[3] , sum += x[srcALen - srcBLen + 3] * y[2] */
-      sum = __SMLAD(*__SIMD32(px)++, *__SIMD32(py)++, sum);
-      /* sum += x[srcALen - srcBLen + 2] * y[1] , sum += x[srcALen - srcBLen + 1] * y[0] */
-      sum = __SMLAD(*__SIMD32(px)++, *__SIMD32(py)++, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.   
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      sum = __SMLAD(*px++, *py++, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut = (q15_t) (sum >> 15);
-    /* Destination pointer is updated according to the address modifier, inc */
-    pOut += inc;
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    px = ++pSrc1;
-    py = pIn2;
-
-    /* Decrement the MAC count */
-    count--;
-
-    /* Decrement the loop counter */
-    blockSize3--;
-  }
-
-#else
-
-  q15_t *pIn1;                                   /* inputA pointer               */
-  q15_t *pIn2;                                   /* inputB pointer               */
-  q15_t *pOut = pDst;                            /* output pointer               */
-  q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulators                  */
-  q15_t *px;                                     /* Intermediate inputA pointer  */
-  q15_t *py;                                     /* Intermediate inputB pointer  */
-  q15_t *pSrc1;                                  /* Intermediate pointers        */
-  q31_t x0, x1, x2, x3, c0;                      /* temporary variables for holding input and coefficient values */
-  uint32_t j, k = 0u, count, blkCnt, outBlockSize, blockSize1, blockSize2, blockSize3;  /* loop counter                 */
-  int32_t inc = 1;                               /* Destination address modifier */
-  q15_t a, b;
-
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  /* But CORR(x, y) is reverse of CORR(y, x) */
-  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
-  /* and the destination pointer modifier, inc is set to -1 */
-  /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
-  /* But to improve the performance,   
-   * we include zeroes in the output instead of zero padding either of the the inputs*/
-  /* If srcALen > srcBLen,   
-   * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
-  /* If srcALen < srcBLen,   
-   * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = (pSrcA);
-
-    /* Initialization of inputB pointer */
-    pIn2 = (pSrcB);
-
-    /* Number of output samples is calculated */
-    outBlockSize = (2u * srcALen) - 1u;
-
-    /* When srcALen > srcBLen, zero padding is done to srcB   
-     * to make their lengths equal.   
-     * Instead, (outBlockSize - (srcALen + srcBLen - 1))   
-     * number of output samples are made zero */
-    j = outBlockSize - (srcALen + (srcBLen - 1u));
-
-    /* Updating the pointer position to non zero value */
-    pOut += j;
-
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = (pSrcB);
-
-    /* Initialization of inputB pointer */
-    pIn2 = (pSrcA);
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-
-    /* CORR(x, y) = Reverse order(CORR(y, x)) */
-    /* Hence set the destination pointer to point to the last output sample */
-    pOut = pDst + ((srcALen + srcBLen) - 2u);
-
-    /* Destination address modifier is set to -1 */
-    inc = -1;
-
-  }
-
-  /* The function is internally   
-   * divided into three parts according to the number of multiplications that has to be   
-   * taken place between inputA samples and inputB samples. In the first part of the   
-   * algorithm, the multiplications increase by one for every iteration.   
-   * In the second part of the algorithm, srcBLen number of multiplications are done.   
-   * In the third part of the algorithm, the multiplications decrease by one   
-   * for every iteration.*/
-  /* The algorithm is implemented in three stages.   
-   * The loop counters of each stage is initiated here. */
-  blockSize1 = srcBLen - 1u;
-  blockSize2 = srcALen - (srcBLen - 1u);
-  blockSize3 = blockSize1;
-
-  /* --------------------------   
-   * Initializations of stage1   
-   * -------------------------*/
-
-  /* sum = x[0] * y[srcBlen - 1]   
-   * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1]   
-   * ....   
-   * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]   
-   */
-
-  /* In this stage the MAC operations are increased by 1 for every iteration.   
-     The count variable holds the number of MAC operations performed */
-  count = 1u;
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  pSrc1 = pIn2 + (srcBLen - 1u);
-  py = pSrc1;
-
-  /* ------------------------   
-   * Stage1 process   
-   * ----------------------*/
-
-  /* The first loop starts here */
-  while(blockSize1 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* x[0] * y[srcBLen - 4] , x[1] * y[srcBLen - 3] */
-        sum += ((q31_t) * px++ * *py++);
-        sum += ((q31_t) * px++ * *py++);
-        sum += ((q31_t) * px++ * *py++);
-        sum += ((q31_t) * px++ * *py++);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.   
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      /* x[0] * y[srcBLen - 1] */
-        sum += ((q31_t) * px++ * *py++);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut = (q15_t) (sum >> 15);
-    /* Destination pointer is updated according to the address modifier, inc */
-    pOut += inc;
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    py = pSrc1 - count;
-    px = pIn1;
-
-    /* Increment the MAC count */
-    count++;
-
-    /* Decrement the loop counter */
-    blockSize1--;
-  }
-
-  /* --------------------------   
-   * Initializations of stage2   
-   * ------------------------*/
-
-  /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]   
-   * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]   
-   * ....   
-   * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]   
-   */
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-  /* count is index by which the pointer pIn1 to be incremented */
-  count = 0u;
-
-  /* -------------------   
-   * Stage2 process   
-   * ------------------*/
-
-  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.   
-   * So, to loop unroll over blockSize2,   
-   * srcBLen should be greater than or equal to 4, to loop unroll the srcBLen loop */
-  if(srcBLen >= 4u)
-  {
-    /* Loop unroll over blockSize2, by 4 */
-    blkCnt = blockSize2 >> 2u;
-
-    while(blkCnt > 0u)
-    {
-      /* Set all accumulators to zero */
-      acc0 = 0;
-      acc1 = 0;
-      acc2 = 0;
-      acc3 = 0;
-
-      /* read x[0], x[1], x[2] samples */
-	  a = *px;
-	  b = *(px + 1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-	  x0 = __PKHBT(a, b, 16);
-	  a = *(px + 2);
-	  x1 = __PKHBT(b, a, 16);
-
-#else
-
-	  x0 = __PKHBT(b, a, 16);
-	  a = *(px + 2);
-	  x1 = __PKHBT(a, b, 16);
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-	  px += 2u;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      do
-      {
-        /* Read the first two inputB samples using SIMD:   
-         * y[0] and y[1] */
-		  a = *py;
-		  b = *(py + 1);
-	
-#ifndef ARM_MATH_BIG_ENDIAN
-	
-		  c0 = __PKHBT(a, b, 16);
-	
-#else
-	
-		  c0 = __PKHBT(b, a, 16);
-	
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-        /* acc0 +=  x[0] * y[0] + x[1] * y[1] */
-        acc0 = __SMLAD(x0, c0, acc0);
-
-        /* acc1 +=  x[1] * y[0] + x[2] * y[1] */
-        acc1 = __SMLAD(x1, c0, acc1);
-
-        /* Read x[2], x[3], x[4] */
-	  	a = *px;
-	  	b = *(px + 1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-	  	x2 = __PKHBT(a, b, 16);
-	  	a = *(px + 2);
-	  	x3 = __PKHBT(b, a, 16);
-
-#else
-
-	  	x2 = __PKHBT(b, a, 16);
-	  	a = *(px + 2);
-	  	x3 = __PKHBT(a, b, 16);
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-        /* acc2 +=  x[2] * y[0] + x[3] * y[1] */
-        acc2 = __SMLAD(x2, c0, acc2);
-
-        /* acc3 +=  x[3] * y[0] + x[4] * y[1] */
-        acc3 = __SMLAD(x3, c0, acc3);
-
-        /* Read y[2] and y[3] */
-		  a = *(py + 2);
-		  b = *(py + 3);
-
-		  py += 4u;
-	
-#ifndef ARM_MATH_BIG_ENDIAN
-	
-		  c0 = __PKHBT(a, b, 16);
-	
-#else
-	
-		  c0 = __PKHBT(b, a, 16);
-	
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-        /* acc0 +=  x[2] * y[2] + x[3] * y[3] */
-        acc0 = __SMLAD(x2, c0, acc0);
-
-        /* acc1 +=  x[3] * y[2] + x[4] * y[3] */
-        acc1 = __SMLAD(x3, c0, acc1);
-
-        /* Read x[4], x[5], x[6] */
-	  	a = *(px + 2);
-	  	b = *(px + 3);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-	  	x0 = __PKHBT(a, b, 16);
-	  	a = *(px + 4);
-	  	x1 = __PKHBT(b, a, 16);
-
-#else
-
-	  	x0 = __PKHBT(b, a, 16);
-	  	a = *(px + 4);
-	  	x1 = __PKHBT(a, b, 16);
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-		px += 4u;
-
-        /* acc2 +=  x[4] * y[2] + x[5] * y[3] */
-        acc2 = __SMLAD(x0, c0, acc2);
-
-        /* acc3 +=  x[5] * y[2] + x[6] * y[3] */
-        acc3 = __SMLAD(x1, c0, acc3);
-
-      } while(--k);
-
-      /* For the next MAC operations, SIMD is not used   
-       * So, the 16 bit pointer if inputB, py is updated */
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      if(k == 1u)
-      {
-        /* Read y[4] */
-        c0 = *py;
-#ifdef  ARM_MATH_BIG_ENDIAN
-
-        c0 = c0 << 16u;
-
-#else
-
-        c0 = c0 & 0x0000FFFF;
-
-#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
-
-        /* Read x[7] */
-		a = *px;
-		b = *(px + 1);
-
-		px++;;
-	
-#ifndef ARM_MATH_BIG_ENDIAN
-	
-		x3 = __PKHBT(a, b, 16);
-	
-#else
-	
-		x3 = __PKHBT(b, a, 16);
-	
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-		px++;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLAD(x0, c0, acc0);
-        acc1 = __SMLAD(x1, c0, acc1);
-        acc2 = __SMLADX(x1, c0, acc2);
-        acc3 = __SMLADX(x3, c0, acc3);
-      }
-
-      if(k == 2u)
-      {
-        /* Read y[4], y[5] */
-		  a = *py;
-		  b = *(py + 1);
-	
-#ifndef ARM_MATH_BIG_ENDIAN
-	
-		  c0 = __PKHBT(a, b, 16);
-	
-#else
-	
-		  c0 = __PKHBT(b, a, 16);
-	
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-        /* Read x[7], x[8], x[9] */
-	  	a = *px;
-	  	b = *(px + 1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-	  	x3 = __PKHBT(a, b, 16);
-	  	a = *(px + 2);
-	  	x2 = __PKHBT(b, a, 16);
-
-#else
-
-	  	x3 = __PKHBT(b, a, 16);
-	  	a = *(px + 2);
-	  	x2 = __PKHBT(a, b, 16);
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-		px += 2u;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLAD(x0, c0, acc0);
-        acc1 = __SMLAD(x1, c0, acc1);
-        acc2 = __SMLAD(x3, c0, acc2);
-        acc3 = __SMLAD(x2, c0, acc3);
-      }
-
-      if(k == 3u)
-      {
-        /* Read y[4], y[5] */
-		  a = *py;
-		  b = *(py + 1);
-	
-#ifndef ARM_MATH_BIG_ENDIAN
-	
-		  c0 = __PKHBT(a, b, 16);
-	
-#else
-	
-		  c0 = __PKHBT(b, a, 16);
-	
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-		py += 2u;
-
-        /* Read x[7], x[8], x[9] */
-	  	a = *px;
-	  	b = *(px + 1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-	  	x3 = __PKHBT(a, b, 16);
-	  	a = *(px + 2);
-	  	x2 = __PKHBT(b, a, 16);
-
-#else
-
-	  	x3 = __PKHBT(b, a, 16);
-	  	a = *(px + 2);
-	  	x2 = __PKHBT(a, b, 16);
-
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLAD(x0, c0, acc0);
-        acc1 = __SMLAD(x1, c0, acc1);
-        acc2 = __SMLAD(x3, c0, acc2);
-        acc3 = __SMLAD(x2, c0, acc3);
-
-        c0 = (*py);
-        /* Read y[6] */
-#ifdef  ARM_MATH_BIG_ENDIAN
-
-        c0 = c0 << 16u;
-#else
-
-        c0 = c0 & 0x0000FFFF;
-#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
-
-        /* Read x[10] */
-		b = *(px + 3);
-	
-#ifndef ARM_MATH_BIG_ENDIAN
-	
-		x3 = __PKHBT(a, b, 16);
-	
-#else
-	
-		x3 = __PKHBT(b, a, 16);
-	
-#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
-
-		px += 3u;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLADX(x1, c0, acc0);
-        acc1 = __SMLAD(x2, c0, acc1);
-        acc2 = __SMLADX(x2, c0, acc2);
-        acc3 = __SMLADX(x3, c0, acc3);
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = (q15_t) (acc0 >> 15);
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      *pOut = (q15_t) (acc1 >> 15);
-      pOut += inc;
-
-      *pOut = (q15_t) (acc2 >> 15);
-      pOut += inc;
-
-      *pOut = (q15_t) (acc3 >> 15);
-      pOut += inc;
-
-      /* Increment the pointer pIn1 index, count by 1 */
-      count += 4u;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.   
-     ** No loop unrolling is used. */
-    blkCnt = blockSize2 % 0x4u;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += ((q31_t) * px++ * *py++);
-        sum += ((q31_t) * px++ * *py++);
-        sum += ((q31_t) * px++ * *py++);
-        sum += ((q31_t) * px++ * *py++);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += ((q31_t) * px++ * *py++);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = (q15_t) (sum >> 15);
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      /* Increment the pointer pIn1 index, count by 1 */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-  else
-  {
-    /* If the srcBLen is not a multiple of 4,   
-     * the blockSize2 loop cannot be unrolled by 4 */
-    blkCnt = blockSize2;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Loop over srcBLen */
-      k = srcBLen;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum += ((q31_t) * px++ * *py++);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = (q15_t) (sum >> 15);
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-
-  /* --------------------------   
-   * Initializations of stage3   
-   * -------------------------*/
-
-  /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]   
-   * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]   
-   * ....   
-   * sum +=  x[srcALen-2] * y[0] + x[srcALen-1] * y[1]   
-   * sum +=  x[srcALen-1] * y[0]   
-   */
-
-  /* In this stage the MAC operations are decreased by 1 for every iteration.   
-     The count variable holds the number of MAC operations performed */
-  count = srcBLen - 1u;
-
-  /* Working pointer of inputA */
-  pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
-  px = pSrc1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-  /* -------------------   
-   * Stage3 process   
-   * ------------------*/
-
-  while(blockSize3 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-        sum += ((q31_t) * px++ * *py++);
-        sum += ((q31_t) * px++ * *py++);
-        sum += ((q31_t) * px++ * *py++);
-        sum += ((q31_t) * px++ * *py++);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.   
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-        sum += ((q31_t) * px++ * *py++);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut = (q15_t) (sum >> 15);
-    /* Destination pointer is updated according to the address modifier, inc */
-    pOut += inc;
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    px = ++pSrc1;
-    py = pIn2;
-
-    /* Decrement the MAC count */
-    count--;
-
-    /* Decrement the loop counter */
-    blockSize3--;
-  }
-
-#endif /*   #ifndef UNALIGNED_SUPPORT_DISABLE */
-
-}
-
-/**   
- * @} end of Corr group   
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_fast_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_fast_q31.c
deleted file mode 100644
index 628fd3ea5..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_fast_q31.c
+++ /dev/null
@@ -1,607 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_correlate_fast_q31.c    
-*    
-* Description:	Fast Q31 Correlation.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-* 
-* Version 1.0.11 2011/10/18  
-*    Bug Fix in conv, correlation, partial convolution.  
-* 
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup Corr    
- * @{    
- */
-
-/**    
- * @brief Correlation of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4.    
- * @param[in] *pSrcA points to the first input sequence.    
- * @param[in] srcALen length of the first input sequence.    
- * @param[in] *pSrcB points to the second input sequence.    
- * @param[in] srcBLen length of the second input sequence.    
- * @param[out] *pDst points to the location where the output result is written.  Length 2 * max(srcALen, srcBLen) - 1.    
- * @return none.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * This function is optimized for speed at the expense of fixed-point precision and overflow protection.    
- * The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format.    
- * These intermediate results are accumulated in a 32-bit register in 2.30 format.    
- * Finally, the accumulator is saturated and converted to a 1.31 result.    
- *    
- * \par    
- * The fast version has the same overflow behavior as the standard version but provides less precision since it discards the low 32 bits of each multiplication result.    
- * In order to avoid overflows completely the input signals must be scaled down.    
- * The input signals should be scaled down to avoid intermediate overflows.    
- * Scale down one of the inputs by 1/min(srcALen, srcBLen)to avoid overflows since a    
- * maximum of min(srcALen, srcBLen) number of additions is carried internally.    
- *    
- * \par    
- * See arm_correlate_q31() for a slower implementation of this function which uses 64-bit accumulation to provide higher precision.    
- */
-
-void arm_correlate_fast_q31(
-  q31_t * pSrcA,
-  uint32_t srcALen,
-  q31_t * pSrcB,
-  uint32_t srcBLen,
-  q31_t * pDst)
-{
-  q31_t *pIn1;                                   /* inputA pointer               */
-  q31_t *pIn2;                                   /* inputB pointer               */
-  q31_t *pOut = pDst;                            /* output pointer               */
-  q31_t *px;                                     /* Intermediate inputA pointer  */
-  q31_t *py;                                     /* Intermediate inputB pointer  */
-  q31_t *pSrc1;                                  /* Intermediate pointers        */
-  q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulators                  */
-  q31_t x0, x1, x2, x3, c0;                      /* temporary variables for holding input and coefficient values */
-  uint32_t j, k = 0u, count, blkCnt, outBlockSize, blockSize1, blockSize2, blockSize3;  /* loop counter                 */
-  int32_t inc = 1;                               /* Destination address modifier */
-
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = (pSrcA);
-
-    /* Initialization of inputB pointer */
-    pIn2 = (pSrcB);
-
-    /* Number of output samples is calculated */
-    outBlockSize = (2u * srcALen) - 1u;
-
-    /* When srcALen > srcBLen, zero padding is done to srcB    
-     * to make their lengths equal.    
-     * Instead, (outBlockSize - (srcALen + srcBLen - 1))    
-     * number of output samples are made zero */
-    j = outBlockSize - (srcALen + (srcBLen - 1u));
-
-    /* Updating the pointer position to non zero value */
-    pOut += j;
-
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = (pSrcB);
-
-    /* Initialization of inputB pointer */
-    pIn2 = (pSrcA);
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-
-    /* CORR(x, y) = Reverse order(CORR(y, x)) */
-    /* Hence set the destination pointer to point to the last output sample */
-    pOut = pDst + ((srcALen + srcBLen) - 2u);
-
-    /* Destination address modifier is set to -1 */
-    inc = -1;
-
-  }
-
-  /* The function is internally    
-   * divided into three parts according to the number of multiplications that has to be    
-   * taken place between inputA samples and inputB samples. In the first part of the    
-   * algorithm, the multiplications increase by one for every iteration.    
-   * In the second part of the algorithm, srcBLen number of multiplications are done.    
-   * In the third part of the algorithm, the multiplications decrease by one    
-   * for every iteration.*/
-  /* The algorithm is implemented in three stages.    
-   * The loop counters of each stage is initiated here. */
-  blockSize1 = srcBLen - 1u;
-  blockSize2 = srcALen - (srcBLen - 1u);
-  blockSize3 = blockSize1;
-
-  /* --------------------------    
-   * Initializations of stage1    
-   * -------------------------*/
-
-  /* sum = x[0] * y[srcBlen - 1]    
-   * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1]    
-   * ....    
-   * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]    
-   */
-
-  /* In this stage the MAC operations are increased by 1 for every iteration.    
-     The count variable holds the number of MAC operations performed */
-  count = 1u;
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  pSrc1 = pIn2 + (srcBLen - 1u);
-  py = pSrc1;
-
-  /* ------------------------    
-   * Stage1 process    
-   * ----------------------*/
-
-  /* The first stage starts here */
-  while(blockSize1 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* x[0] * y[srcBLen - 4] */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py++))) >> 32);
-      /* x[1] * y[srcBLen - 3] */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py++))) >> 32);
-      /* x[2] * y[srcBLen - 2] */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py++))) >> 32);
-      /* x[3] * y[srcBLen - 1] */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py++))) >> 32);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.    
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      /* x[0] * y[srcBLen - 1] */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py++))) >> 32);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut = sum << 1;
-    /* Destination pointer is updated according to the address modifier, inc */
-    pOut += inc;
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    py = pSrc1 - count;
-    px = pIn1;
-
-    /* Increment the MAC count */
-    count++;
-
-    /* Decrement the loop counter */
-    blockSize1--;
-  }
-
-  /* --------------------------    
-   * Initializations of stage2    
-   * ------------------------*/
-
-  /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]    
-   * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]    
-   * ....    
-   * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]    
-   */
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-  /* count is index by which the pointer pIn1 to be incremented */
-  count = 0u;
-
-  /* -------------------    
-   * Stage2 process    
-   * ------------------*/
-
-  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.    
-   * So, to loop unroll over blockSize2,    
-   * srcBLen should be greater than or equal to 4 */
-  if(srcBLen >= 4u)
-  {
-    /* Loop unroll over blockSize2, by 4 */
-    blkCnt = blockSize2 >> 2u;
-
-    while(blkCnt > 0u)
-    {
-      /* Set all accumulators to zero */
-      acc0 = 0;
-      acc1 = 0;
-      acc2 = 0;
-      acc3 = 0;
-
-      /* read x[0], x[1], x[2] samples */
-      x0 = *(px++);
-      x1 = *(px++);
-      x2 = *(px++);
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      do
-      {
-        /* Read y[0] sample */
-        c0 = *(py++);
-
-        /* Read x[3] sample */
-        x3 = *(px++);
-
-        /* Perform the multiply-accumulate */
-        /* acc0 +=  x[0] * y[0] */
-        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
-        /* acc1 +=  x[1] * y[0] */
-        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
-        /* acc2 +=  x[2] * y[0] */
-        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
-        /* acc3 +=  x[3] * y[0] */
-        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
-
-        /* Read y[1] sample */
-        c0 = *(py++);
-
-        /* Read x[4] sample */
-        x0 = *(px++);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[1] * y[1] */
-        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x1 * c0)) >> 32);
-        /* acc1 +=  x[2] * y[1] */
-        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x2 * c0)) >> 32);
-        /* acc2 +=  x[3] * y[1] */
-        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x3 * c0)) >> 32);
-        /* acc3 +=  x[4] * y[1] */
-        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x0 * c0)) >> 32);
-
-        /* Read y[2] sample */
-        c0 = *(py++);
-
-        /* Read x[5] sample */
-        x1 = *(px++);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[2] * y[2] */
-        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x2 * c0)) >> 32);
-        /* acc1 +=  x[3] * y[2] */
-        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x3 * c0)) >> 32);
-        /* acc2 +=  x[4] * y[2] */
-        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x0 * c0)) >> 32);
-        /* acc3 +=  x[5] * y[2] */
-        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x1 * c0)) >> 32);
-
-        /* Read y[3] sample */
-        c0 = *(py++);
-
-        /* Read x[6] sample */
-        x2 = *(px++);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[3] * y[3] */
-        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x3 * c0)) >> 32);
-        /* acc1 +=  x[4] * y[3] */
-        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x0 * c0)) >> 32);
-        /* acc2 +=  x[5] * y[3] */
-        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x1 * c0)) >> 32);
-        /* acc3 +=  x[6] * y[3] */
-        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x2 * c0)) >> 32);
-
-
-      } while(--k);
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Read y[4] sample */
-        c0 = *(py++);
-
-        /* Read x[7] sample */
-        x3 = *(px++);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[4] * y[4] */
-        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
-        /* acc1 +=  x[5] * y[4] */
-        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
-        /* acc2 +=  x[6] * y[4] */
-        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
-        /* acc3 +=  x[7] * y[4] */
-        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
-
-        /* Reuse the present samples for the next MAC */
-        x0 = x1;
-        x1 = x2;
-        x2 = x3;
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = (q31_t) (acc0 << 1);
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      *pOut = (q31_t) (acc1 << 1);
-      pOut += inc;
-
-      *pOut = (q31_t) (acc2 << 1);
-      pOut += inc;
-
-      *pOut = (q31_t) (acc3 << 1);
-      pOut += inc;
-
-      /* Increment the pointer pIn1 index, count by 4 */
-      count += 4u;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.    
-     ** No loop unrolling is used. */
-    blkCnt = blockSize2 % 0x4u;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py++))) >> 32);
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py++))) >> 32);
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py++))) >> 32);
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py++))) >> 32);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py++))) >> 32);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = sum << 1;
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-  else
-  {
-    /* If the srcBLen is not a multiple of 4,    
-     * the blockSize2 loop cannot be unrolled by 4 */
-    blkCnt = blockSize2;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Loop over srcBLen */
-      k = srcBLen;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum = (q31_t) ((((q63_t) sum << 32) +
-                        ((q63_t) * px++ * (*py++))) >> 32);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = sum << 1;
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-
-  /* --------------------------    
-   * Initializations of stage3    
-   * -------------------------*/
-
-  /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]    
-   * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]    
-   * ....    
-   * sum +=  x[srcALen-2] * y[0] + x[srcALen-1] * y[1]    
-   * sum +=  x[srcALen-1] * y[0]    
-   */
-
-  /* In this stage the MAC operations are decreased by 1 for every iteration.    
-     The count variable holds the number of MAC operations performed */
-  count = srcBLen - 1u;
-
-  /* Working pointer of inputA */
-  pSrc1 = ((pIn1 + srcALen) - srcBLen) + 1u;
-  px = pSrc1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-  /* -------------------    
-   * Stage3 process    
-   * ------------------*/
-
-  while(blockSize3 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      /* sum += x[srcALen - srcBLen + 4] * y[3] */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py++))) >> 32);
-      /* sum += x[srcALen - srcBLen + 3] * y[2] */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py++))) >> 32);
-      /* sum += x[srcALen - srcBLen + 2] * y[1] */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py++))) >> 32);
-      /* sum += x[srcALen - srcBLen + 1] * y[0] */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py++))) >> 32);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.    
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      sum = (q31_t) ((((q63_t) sum << 32) +
-                      ((q63_t) * px++ * (*py++))) >> 32);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut = sum << 1;
-    /* Destination pointer is updated according to the address modifier, inc */
-    pOut += inc;
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    px = ++pSrc1;
-    py = pIn2;
-
-    /* Decrement the MAC count */
-    count--;
-
-    /* Decrement the loop counter */
-    blockSize3--;
-  }
-
-}
-
-/**    
- * @} end of Corr group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_opt_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_opt_q15.c
deleted file mode 100644
index cc33b54f5..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_opt_q15.c
+++ /dev/null
@@ -1,512 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_correlate_opt_q15.c    
-*    
-* Description:	Correlation of Q15 sequences.  
-*    
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-* 
-* Version 1.0.11 2011/10/18  
-*    Bug Fix in conv, correlation, partial convolution.  
-* 
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-*    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup Corr    
- * @{    
- */
-
-/**    
- * @brief Correlation of Q15 sequences.  
- * @param[in] *pSrcA points to the first input sequence.    
- * @param[in] srcALen length of the first input sequence.    
- * @param[in] *pSrcB points to the second input sequence.    
- * @param[in] srcBLen length of the second input sequence.    
- * @param[out] *pDst points to the location where the output result is written.  Length 2 * max(srcALen, srcBLen) - 1.    
- * @param[in]  *pScratch points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.    
- * @return none.    
- *    
- * \par Restrictions    
- *  If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE    
- *	In this case input, output, scratch buffers should be aligned by 32-bit    
- *     
- * @details    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * The function is implemented using a 64-bit internal accumulator.    
- * Both inputs are in 1.15 format and multiplications yield a 2.30 result.    
- * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.    
- * This approach provides 33 guard bits and there is no risk of overflow.    
- * The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format.    
- *    
- * \par    
- * Refer to arm_correlate_fast_q15() for a faster but less precise version of this function for Cortex-M3 and Cortex-M4.   
- *  
- * 
- */
-
-
-void arm_correlate_opt_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst,
-  q15_t * pScratch)
-{
-  q15_t *pIn1;                                   /* inputA pointer               */
-  q15_t *pIn2;                                   /* inputB pointer               */
-  q63_t acc0, acc1, acc2, acc3;                  /* Accumulators                  */
-  q15_t *py;                                     /* Intermediate inputB pointer  */
-  q31_t x1, x2, x3;                              /* temporary variables for holding input1 and input2 values */
-  uint32_t j, blkCnt, outBlockSize;              /* loop counter                 */
-  int32_t inc = 1;                               /* output pointer increment     */
-  uint32_t tapCnt;
-  q31_t y1, y2;
-  q15_t *pScr;                                   /* Intermediate pointers        */
-  q15_t *pOut = pDst;                            /* output pointer               */
-#ifdef UNALIGNED_SUPPORT_DISABLE
-
-  q15_t a, b;
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  /* But CORR(x, y) is reverse of CORR(y, x) */
-  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
-  /* and the destination pointer modifier, inc is set to -1 */
-  /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
-  /* But to improve the performance,        
-   * we include zeroes in the output instead of zero padding either of the the inputs*/
-  /* If srcALen > srcBLen,        
-   * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
-  /* If srcALen < srcBLen,        
-   * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = (pSrcA);
-
-    /* Initialization of inputB pointer */
-    pIn2 = (pSrcB);
-
-    /* Number of output samples is calculated */
-    outBlockSize = (2u * srcALen) - 1u;
-
-    /* When srcALen > srcBLen, zero padding is done to srcB        
-     * to make their lengths equal.        
-     * Instead, (outBlockSize - (srcALen + srcBLen - 1))        
-     * number of output samples are made zero */
-    j = outBlockSize - (srcALen + (srcBLen - 1u));
-
-    /* Updating the pointer position to non zero value */
-    pOut += j;
-
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = (pSrcB);
-
-    /* Initialization of inputB pointer */
-    pIn2 = (pSrcA);
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-
-    /* CORR(x, y) = Reverse order(CORR(y, x)) */
-    /* Hence set the destination pointer to point to the last output sample */
-    pOut = pDst + ((srcALen + srcBLen) - 2u);
-
-    /* Destination address modifier is set to -1 */
-    inc = -1;
-
-  }
-
-  pScr = pScratch;
-
-  /* Fill (srcBLen - 1u) zeros in scratch buffer */
-  arm_fill_q15(0, pScr, (srcBLen - 1u));
-
-  /* Update temporary scratch pointer */
-  pScr += (srcBLen - 1u);
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-  /* Copy (srcALen) samples in scratch buffer */
-  arm_copy_q15(pIn1, pScr, srcALen);
-
-  /* Update pointers */
-  //pIn1 += srcALen;    
-  pScr += srcALen;
-
-#else
-
-  /* Apply loop unrolling and do 4 Copies simultaneously. */
-  j = srcALen >> 2u;
-
-  /* First part of the processing with loop unrolling copies 4 data points at a time.       
-   ** a second loop below copies for the remaining 1 to 3 samples. */
-  while(j > 0u)
-  {
-    /* copy second buffer in reversal manner */
-    *pScr++ = *pIn1++;
-    *pScr++ = *pIn1++;
-    *pScr++ = *pIn1++;
-    *pScr++ = *pIn1++;
-
-    /* Decrement the loop counter */
-    j--;
-  }
-
-  /* If the count is not a multiple of 4, copy remaining samples here.       
-   ** No loop unrolling is used. */
-  j = srcALen % 0x4u;
-
-  while(j > 0u)
-  {
-    /* copy second buffer in reversal manner for remaining samples */
-    *pScr++ = *pIn1++;
-
-    /* Decrement the loop counter */
-    j--;
-  }
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-  /* Fill (srcBLen - 1u) zeros at end of scratch buffer */
-  arm_fill_q15(0, pScr, (srcBLen - 1u));
-
-  /* Update pointer */
-  pScr += (srcBLen - 1u);
-
-#else
-
-/* Apply loop unrolling and do 4 Copies simultaneously. */
-  j = (srcBLen - 1u) >> 2u;
-
-  /* First part of the processing with loop unrolling copies 4 data points at a time.       
-   ** a second loop below copies for the remaining 1 to 3 samples. */
-  while(j > 0u)
-  {
-    /* copy second buffer in reversal manner */
-    *pScr++ = 0;
-    *pScr++ = 0;
-    *pScr++ = 0;
-    *pScr++ = 0;
-
-    /* Decrement the loop counter */
-    j--;
-  }
-
-  /* If the count is not a multiple of 4, copy remaining samples here.       
-   ** No loop unrolling is used. */
-  j = (srcBLen - 1u) % 0x4u;
-
-  while(j > 0u)
-  {
-    /* copy second buffer in reversal manner for remaining samples */
-    *pScr++ = 0;
-
-    /* Decrement the loop counter */
-    j--;
-  }
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-  /* Temporary pointer for scratch2 */
-  py = pIn2;
-
-
-  /* Actual correlation process starts here */
-  blkCnt = (srcALen + srcBLen - 1u) >> 2;
-
-  while(blkCnt > 0)
-  {
-    /* Initialze temporary scratch pointer as scratch1 */
-    pScr = pScratch;
-
-    /* Clear Accumlators */
-    acc0 = 0;
-    acc1 = 0;
-    acc2 = 0;
-    acc3 = 0;
-
-    /* Read four samples from scratch1 buffer */
-    x1 = *__SIMD32(pScr)++;
-
-    /* Read next four samples from scratch1 buffer */
-    x2 = *__SIMD32(pScr)++;
-
-    tapCnt = (srcBLen) >> 2u;
-
-    while(tapCnt > 0u)
-    {
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-      /* Read four samples from smaller buffer */
-      y1 = _SIMD32_OFFSET(pIn2);
-      y2 = _SIMD32_OFFSET(pIn2 + 2u);
-
-      acc0 = __SMLALD(x1, y1, acc0);
-
-      acc2 = __SMLALD(x2, y1, acc2);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      acc1 = __SMLALDX(x3, y1, acc1);
-
-      x1 = _SIMD32_OFFSET(pScr);
-
-      acc0 = __SMLALD(x2, y2, acc0);
-
-      acc2 = __SMLALD(x1, y2, acc2);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x1, x2, 0);
-#else
-      x3 = __PKHBT(x2, x1, 0);
-#endif
-
-      acc3 = __SMLALDX(x3, y1, acc3);
-
-      acc1 = __SMLALDX(x3, y2, acc1);
-
-      x2 = _SIMD32_OFFSET(pScr + 2u);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      acc3 = __SMLALDX(x3, y2, acc3);
-
-#else	 
-
-      /* Read four samples from smaller buffer */
-	  a = *pIn2;
-	  b = *(pIn2 + 1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      y1 = __PKHBT(a, b, 16);
-#else
-      y1 = __PKHBT(b, a, 16);
-#endif
-	  
-	  a = *(pIn2 + 2);
-	  b = *(pIn2 + 3);
-#ifndef ARM_MATH_BIG_ENDIAN
-      y2 = __PKHBT(a, b, 16);
-#else
-      y2 = __PKHBT(b, a, 16);
-#endif				
-
-      acc0 = __SMLALD(x1, y1, acc0);
-
-      acc2 = __SMLALD(x2, y1, acc2);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      acc1 = __SMLALDX(x3, y1, acc1);
-
-	  a = *pScr;
-	  b = *(pScr + 1);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x1 = __PKHBT(a, b, 16);
-#else
-      x1 = __PKHBT(b, a, 16);
-#endif
-
-      acc0 = __SMLALD(x2, y2, acc0);
-
-      acc2 = __SMLALD(x1, y2, acc2);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x1, x2, 0);
-#else
-      x3 = __PKHBT(x2, x1, 0);
-#endif
-
-      acc3 = __SMLALDX(x3, y1, acc3);
-
-      acc1 = __SMLALDX(x3, y2, acc1);
-
-	  a = *(pScr + 2);
-	  b = *(pScr + 3);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x2 = __PKHBT(a, b, 16);
-#else
-      x2 = __PKHBT(b, a, 16);
-#endif
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      acc3 = __SMLALDX(x3, y2, acc3);
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-      pIn2 += 4u;
-
-      pScr += 4u;
-
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-
-
-    /* Update scratch pointer for remaining samples of smaller length sequence */
-    pScr -= 4u;
-
-
-    /* apply same above for remaining samples of smaller length sequence */
-    tapCnt = (srcBLen) & 3u;
-
-    while(tapCnt > 0u)
-    {
-
-      /* accumlate the results */
-      acc0 += (*pScr++ * *pIn2);
-      acc1 += (*pScr++ * *pIn2);
-      acc2 += (*pScr++ * *pIn2);
-      acc3 += (*pScr++ * *pIn2++);
-
-      pScr -= 3u;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    blkCnt--;
-
-
-    /* Store the results in the accumulators in the destination buffer. */
-    *pOut = (__SSAT(acc0 >> 15u, 16));
-    pOut += inc;
-    *pOut = (__SSAT(acc1 >> 15u, 16));
-    pOut += inc;
-    *pOut = (__SSAT(acc2 >> 15u, 16));
-    pOut += inc;
-    *pOut = (__SSAT(acc3 >> 15u, 16));
-    pOut += inc;
-
-    /* Initialization of inputB pointer */
-    pIn2 = py;
-
-    pScratch += 4u;
-
-  }
-
-
-  blkCnt = (srcALen + srcBLen - 1u) & 0x3;
-
-  /* Calculate correlation for remaining samples of Bigger length sequence */
-  while(blkCnt > 0)
-  {
-    /* Initialze temporary scratch pointer as scratch1 */
-    pScr = pScratch;
-
-    /* Clear Accumlators */
-    acc0 = 0;
-
-    tapCnt = (srcBLen) >> 1u;
-
-    while(tapCnt > 0u)
-    {
-
-      acc0 += (*pScr++ * *pIn2++);
-      acc0 += (*pScr++ * *pIn2++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    tapCnt = (srcBLen) & 1u;
-
-    /* apply same above for remaining samples of smaller length sequence */
-    while(tapCnt > 0u)
-    {
-
-      /* accumlate the results */
-      acc0 += (*pScr++ * *pIn2++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    blkCnt--;
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut = (q15_t) (__SSAT((acc0 >> 15), 16));
-
-    pOut += inc;
-
-    /* Initialization of inputB pointer */
-    pIn2 = py;
-
-    pScratch += 1u;
-
-  }
-
-
-}
-
-/**    
- * @} end of Corr group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_opt_q7.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_opt_q7.c
deleted file mode 100644
index 6749b01b3..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_opt_q7.c
+++ /dev/null
@@ -1,463 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_correlate_opt_q7.c    
-*    
-* Description:	Correlation of Q7 sequences.  
-*    
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-* 
-* Version 1.0.11 2011/10/18  
-*    Bug Fix in conv, correlation, partial convolution.  
-* 
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-*    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup Corr    
- * @{    
- */
-
-/**    
- * @brief Correlation of Q7 sequences.    
- * @param[in] *pSrcA points to the first input sequence.    
- * @param[in] srcALen length of the first input sequence.    
- * @param[in] *pSrcB points to the second input sequence.    
- * @param[in] srcBLen length of the second input sequence.    
- * @param[out] *pDst points to the location where the output result is written.  Length 2 * max(srcALen, srcBLen) - 1.    
- * @param[in]  *pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.    
- * @param[in]  *pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).    
- * @return none.    
- *    
- *    
- * \par Restrictions    
- *  If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE    
- *	In this case input, output, scratch1 and scratch2 buffers should be aligned by 32-bit     
- *        
- * @details    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * The function is implemented using a 32-bit internal accumulator.    
- * Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result.    
- * The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format.    
- * This approach provides 17 guard bits and there is no risk of overflow as long as max(srcALen, srcBLen)<131072.    
- * The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and saturated to 1.7 format.  
- *  
- * 
- */
-
-
-
-void arm_correlate_opt_q7(
-  q7_t * pSrcA,
-  uint32_t srcALen,
-  q7_t * pSrcB,
-  uint32_t srcBLen,
-  q7_t * pDst,
-  q15_t * pScratch1,
-  q15_t * pScratch2)
-{
-  q7_t *pOut = pDst;                             /* output pointer                */
-  q15_t *pScr1 = pScratch1;                      /* Temporary pointer for scratch */
-  q15_t *pScr2 = pScratch2;                      /* Temporary pointer for scratch */
-  q7_t *pIn1;                                    /* inputA pointer                */
-  q7_t *pIn2;                                    /* inputB pointer                */
-  q15_t *py;                                     /* Intermediate inputB pointer   */
-  q31_t acc0, acc1, acc2, acc3;                  /* Accumulators                  */
-  uint32_t j, k = 0u, blkCnt;                    /* loop counter                  */
-  int32_t inc = 1;                               /* output pointer increment          */
-  uint32_t outBlockSize;                         /* loop counter                  */
-  q15_t x4;                                      /* Temporary input variable      */
-  uint32_t tapCnt;                               /* loop counter                  */
-  q31_t x1, x2, x3, y1;                          /* Temporary input variables     */
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  /* But CORR(x, y) is reverse of CORR(y, x) */
-  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
-  /* and the destination pointer modifier, inc is set to -1 */
-  /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
-  /* But to improve the performance,        
-   * we include zeroes in the output instead of zero padding either of the the inputs*/
-  /* If srcALen > srcBLen,        
-   * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
-  /* If srcALen < srcBLen,        
-   * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = (pSrcA);
-
-    /* Initialization of inputB pointer */
-    pIn2 = (pSrcB);
-
-    /* Number of output samples is calculated */
-    outBlockSize = (2u * srcALen) - 1u;
-
-    /* When srcALen > srcBLen, zero padding is done to srcB        
-     * to make their lengths equal.        
-     * Instead, (outBlockSize - (srcALen + srcBLen - 1))        
-     * number of output samples are made zero */
-    j = outBlockSize - (srcALen + (srcBLen - 1u));
-
-    /* Updating the pointer position to non zero value */
-    pOut += j;
-
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = (pSrcB);
-
-    /* Initialization of inputB pointer */
-    pIn2 = (pSrcA);
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-
-    /* CORR(x, y) = Reverse order(CORR(y, x)) */
-    /* Hence set the destination pointer to point to the last output sample */
-    pOut = pDst + ((srcALen + srcBLen) - 2u);
-
-    /* Destination address modifier is set to -1 */
-    inc = -1;
-
-  }
-
-
-  /* Copy (srcBLen) samples in scratch buffer */
-  k = srcBLen >> 2u;
-
-  /* First part of the processing with loop unrolling copies 4 data points at a time.       
-   ** a second loop below copies for the remaining 1 to 3 samples. */
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner */
-    x4 = (q15_t) * pIn2++;
-    *pScr2++ = x4;
-    x4 = (q15_t) * pIn2++;
-    *pScr2++ = x4;
-    x4 = (q15_t) * pIn2++;
-    *pScr2++ = x4;
-    x4 = (q15_t) * pIn2++;
-    *pScr2++ = x4;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-  /* If the count is not a multiple of 4, copy remaining samples here.       
-   ** No loop unrolling is used. */
-  k = srcBLen % 0x4u;
-
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner for remaining samples */
-    x4 = (q15_t) * pIn2++;
-    *pScr2++ = x4;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-  /* Fill (srcBLen - 1u) zeros in scratch buffer */
-  arm_fill_q15(0, pScr1, (srcBLen - 1u));
-
-  /* Update temporary scratch pointer */
-  pScr1 += (srcBLen - 1u);
-
-  /* Copy (srcALen) samples in scratch buffer */
-  k = srcALen >> 2u;
-
-  /* First part of the processing with loop unrolling copies 4 data points at a time.       
-   ** a second loop below copies for the remaining 1 to 3 samples. */
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner */
-    x4 = (q15_t) * pIn1++;
-    *pScr1++ = x4;
-    x4 = (q15_t) * pIn1++;
-    *pScr1++ = x4;
-    x4 = (q15_t) * pIn1++;
-    *pScr1++ = x4;
-    x4 = (q15_t) * pIn1++;
-    *pScr1++ = x4;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-  /* If the count is not a multiple of 4, copy remaining samples here.       
-   ** No loop unrolling is used. */
-  k = srcALen % 0x4u;
-
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner for remaining samples */
-    x4 = (q15_t) * pIn1++;
-    *pScr1++ = x4;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-  /* Fill (srcBLen - 1u) zeros at end of scratch buffer */
-  arm_fill_q15(0, pScr1, (srcBLen - 1u));
-
-  /* Update pointer */
-  pScr1 += (srcBLen - 1u);
-
-#else
-
-/* Apply loop unrolling and do 4 Copies simultaneously. */
-  k = (srcBLen - 1u) >> 2u;
-
-  /* First part of the processing with loop unrolling copies 4 data points at a time.       
-   ** a second loop below copies for the remaining 1 to 3 samples. */
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner */
-    *pScr1++ = 0;
-    *pScr1++ = 0;
-    *pScr1++ = 0;
-    *pScr1++ = 0;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-  /* If the count is not a multiple of 4, copy remaining samples here.       
-   ** No loop unrolling is used. */
-  k = (srcBLen - 1u) % 0x4u;
-
-  while(k > 0u)
-  {
-    /* copy second buffer in reversal manner for remaining samples */
-    *pScr1++ = 0;
-
-    /* Decrement the loop counter */
-    k--;
-  }
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-  /* Temporary pointer for second sequence */
-  py = pScratch2;
-
-  /* Initialization of pScr2 pointer */
-  pScr2 = pScratch2;
-
-  /* Actual correlation process starts here */
-  blkCnt = (srcALen + srcBLen - 1u) >> 2;
-
-  while(blkCnt > 0)
-  {
-    /* Initialze temporary scratch pointer as scratch1 */
-    pScr1 = pScratch1;
-
-    /* Clear Accumlators */
-    acc0 = 0;
-    acc1 = 0;
-    acc2 = 0;
-    acc3 = 0;
-
-    /* Read two samples from scratch1 buffer */
-    x1 = *__SIMD32(pScr1)++;
-
-    /* Read next two samples from scratch1 buffer */
-    x2 = *__SIMD32(pScr1)++;
-
-    tapCnt = (srcBLen) >> 2u;
-
-    while(tapCnt > 0u)
-    {
-
-      /* Read four samples from smaller buffer */
-      y1 = _SIMD32_OFFSET(pScr2);
-
-      /* multiply and accumlate */
-      acc0 = __SMLAD(x1, y1, acc0);
-      acc2 = __SMLAD(x2, y1, acc2);
-
-      /* pack input data */
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      /* multiply and accumlate */
-      acc1 = __SMLADX(x3, y1, acc1);
-
-      /* Read next two samples from scratch1 buffer */
-      x1 = *__SIMD32(pScr1)++;
-
-      /* pack input data */
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x1, x2, 0);
-#else
-      x3 = __PKHBT(x2, x1, 0);
-#endif
-
-      acc3 = __SMLADX(x3, y1, acc3);
-
-      /* Read four samples from smaller buffer */
-      y1 = _SIMD32_OFFSET(pScr2 + 2u);
-
-      acc0 = __SMLAD(x2, y1, acc0);
-
-      acc2 = __SMLAD(x1, y1, acc2);
-
-      acc1 = __SMLADX(x3, y1, acc1);
-
-      x2 = *__SIMD32(pScr1)++;
-
-#ifndef ARM_MATH_BIG_ENDIAN
-      x3 = __PKHBT(x2, x1, 0);
-#else
-      x3 = __PKHBT(x1, x2, 0);
-#endif
-
-      acc3 = __SMLADX(x3, y1, acc3);
-
-      pScr2 += 4u;
-
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-
-
-    /* Update scratch pointer for remaining samples of smaller length sequence */
-    pScr1 -= 4u;
-
-
-    /* apply same above for remaining samples of smaller length sequence */
-    tapCnt = (srcBLen) & 3u;
-
-    while(tapCnt > 0u)
-    {
-
-      /* accumlate the results */
-      acc0 += (*pScr1++ * *pScr2);
-      acc1 += (*pScr1++ * *pScr2);
-      acc2 += (*pScr1++ * *pScr2);
-      acc3 += (*pScr1++ * *pScr2++);
-
-      pScr1 -= 3u;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    blkCnt--;
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut = (q7_t) (__SSAT(acc0 >> 7u, 8));
-    pOut += inc;
-    *pOut = (q7_t) (__SSAT(acc1 >> 7u, 8));
-    pOut += inc;
-    *pOut = (q7_t) (__SSAT(acc2 >> 7u, 8));
-    pOut += inc;
-    *pOut = (q7_t) (__SSAT(acc3 >> 7u, 8));
-    pOut += inc;
-
-    /* Initialization of inputB pointer */
-    pScr2 = py;
-
-    pScratch1 += 4u;
-
-  }
-
-
-  blkCnt = (srcALen + srcBLen - 1u) & 0x3;
-
-  /* Calculate correlation for remaining samples of Bigger length sequence */
-  while(blkCnt > 0)
-  {
-    /* Initialze temporary scratch pointer as scratch1 */
-    pScr1 = pScratch1;
-
-    /* Clear Accumlators */
-    acc0 = 0;
-
-    tapCnt = (srcBLen) >> 1u;
-
-    while(tapCnt > 0u)
-    {
-      acc0 += (*pScr1++ * *pScr2++);
-      acc0 += (*pScr1++ * *pScr2++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    tapCnt = (srcBLen) & 1u;
-
-    /* apply same above for remaining samples of smaller length sequence */
-    while(tapCnt > 0u)
-    {
-
-      /* accumlate the results */
-      acc0 += (*pScr1++ * *pScr2++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    blkCnt--;
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut = (q7_t) (__SSAT(acc0 >> 7u, 8));
-
-    pOut += inc;
-
-    /* Initialization of inputB pointer */
-    pScr2 = py;
-
-    pScratch1 += 1u;
-
-  }
-
-}
-
-/**    
- * @} end of Corr group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_q15.c
deleted file mode 100644
index fc4134b7b..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_q15.c
+++ /dev/null
@@ -1,718 +0,0 @@
-/* ----------------------------------------------------------------------   
-* Copyright (C) 2010 ARM Limited. All rights reserved.   
-*   
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*   
-* Project: 	    CMSIS DSP Library   
-* Title:		arm_correlate_q15.c   
-*   
-* Description:	Correlation of Q15 sequences. 
-*   
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*
-* Version 1.0.11 2011/10/18 
-*    Bug Fix in conv, correlation, partial convolution. 
-*
-* Version 1.0.10 2011/7/15 
-*    Big Endian support added and Merged M0 and M3/M4 Source code.  
-*   
-* Version 1.0.3 2010/11/29  
-*    Re-organized the CMSIS folders and updated documentation.   
-*    
-* Version 1.0.2 2010/11/11   
-*    Documentation updated.    
-*   
-* Version 1.0.1 2010/10/05    
-*    Production release and review comments incorporated.   
-*   
-* Version 1.0.0 2010/09/20    
-*    Production release and review comments incorporated   
-*   
-* Version 0.0.7  2010/06/10    
-*    Misra-C changes done   
-*   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**   
- * @ingroup groupFilters   
- */
-
-/**   
- * @addtogroup Corr   
- * @{   
- */
-
-/**   
- * @brief Correlation of Q15 sequences. 
- * @param[in] *pSrcA points to the first input sequence.   
- * @param[in] srcALen length of the first input sequence.   
- * @param[in] *pSrcB points to the second input sequence.   
- * @param[in] srcBLen length of the second input sequence.   
- * @param[out] *pDst points to the location where the output result is written.  Length 2 * max(srcALen, srcBLen) - 1.   
- * @return none.   
- *   
- * @details   
- * Scaling and Overflow Behavior:   
- *   
- * \par   
- * The function is implemented using a 64-bit internal accumulator.   
- * Both inputs are in 1.15 format and multiplications yield a 2.30 result.   
- * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.   
- * This approach provides 33 guard bits and there is no risk of overflow.   
- * The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format.   
- *   
- * \par   
- * Refer to arm_correlate_fast_q15() for a faster but less precise version of this function for Cortex-M3 and Cortex-M4. 
- *
- * \par    
- * Refer the function arm_correlate_opt_q15() for a faster implementation of this function using scratch buffers.
- * 
- */
-
-void arm_correlate_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst)
-{
-
-#if (defined(ARM_MATH_CM4) || defined(ARM_MATH_CM3)) && !defined(UNALIGNED_SUPPORT_DISABLE)
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q15_t *pIn1;                                   /* inputA pointer               */
-  q15_t *pIn2;                                   /* inputB pointer               */
-  q15_t *pOut = pDst;                            /* output pointer               */
-  q63_t sum, acc0, acc1, acc2, acc3;             /* Accumulators                  */
-  q15_t *px;                                     /* Intermediate inputA pointer  */
-  q15_t *py;                                     /* Intermediate inputB pointer  */
-  q15_t *pSrc1;                                  /* Intermediate pointers        */
-  q31_t x0, x1, x2, x3, c0;                      /* temporary variables for holding input and coefficient values */
-  uint32_t j, k = 0u, count, blkCnt, outBlockSize, blockSize1, blockSize2, blockSize3;  /* loop counter                 */
-  int32_t inc = 1;                               /* Destination address modifier */
-
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  /* But CORR(x, y) is reverse of CORR(y, x) */
-  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
-  /* and the destination pointer modifier, inc is set to -1 */
-  /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
-  /* But to improve the performance,   
-   * we include zeroes in the output instead of zero padding either of the the inputs*/
-  /* If srcALen > srcBLen,   
-   * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
-  /* If srcALen < srcBLen,   
-   * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = (pSrcA);
-
-    /* Initialization of inputB pointer */
-    pIn2 = (pSrcB);
-
-    /* Number of output samples is calculated */
-    outBlockSize = (2u * srcALen) - 1u;
-
-    /* When srcALen > srcBLen, zero padding is done to srcB   
-     * to make their lengths equal.   
-     * Instead, (outBlockSize - (srcALen + srcBLen - 1))   
-     * number of output samples are made zero */
-    j = outBlockSize - (srcALen + (srcBLen - 1u));
-
-    /* Updating the pointer position to non zero value */
-    pOut += j;
-
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = (pSrcB);
-
-    /* Initialization of inputB pointer */
-    pIn2 = (pSrcA);
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-
-    /* CORR(x, y) = Reverse order(CORR(y, x)) */
-    /* Hence set the destination pointer to point to the last output sample */
-    pOut = pDst + ((srcALen + srcBLen) - 2u);
-
-    /* Destination address modifier is set to -1 */
-    inc = -1;
-
-  }
-
-  /* The function is internally   
-   * divided into three parts according to the number of multiplications that has to be   
-   * taken place between inputA samples and inputB samples. In the first part of the   
-   * algorithm, the multiplications increase by one for every iteration.   
-   * In the second part of the algorithm, srcBLen number of multiplications are done.   
-   * In the third part of the algorithm, the multiplications decrease by one   
-   * for every iteration.*/
-  /* The algorithm is implemented in three stages.   
-   * The loop counters of each stage is initiated here. */
-  blockSize1 = srcBLen - 1u;
-  blockSize2 = srcALen - (srcBLen - 1u);
-  blockSize3 = blockSize1;
-
-  /* --------------------------   
-   * Initializations of stage1   
-   * -------------------------*/
-
-  /* sum = x[0] * y[srcBlen - 1]   
-   * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1]   
-   * ....   
-   * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]   
-   */
-
-  /* In this stage the MAC operations are increased by 1 for every iteration.   
-     The count variable holds the number of MAC operations performed */
-  count = 1u;
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  pSrc1 = pIn2 + (srcBLen - 1u);
-  py = pSrc1;
-
-  /* ------------------------   
-   * Stage1 process   
-   * ----------------------*/
-
-  /* The first loop starts here */
-  while(blockSize1 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* x[0] * y[srcBLen - 4] , x[1] * y[srcBLen - 3] */
-      sum = __SMLALD(*__SIMD32(px)++, *__SIMD32(py)++, sum);
-      /* x[3] * y[srcBLen - 1] , x[2] * y[srcBLen - 2] */
-      sum = __SMLALD(*__SIMD32(px)++, *__SIMD32(py)++, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.   
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      /* x[0] * y[srcBLen - 1] */
-      sum = __SMLALD(*px++, *py++, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut = (q15_t) (__SSAT((sum >> 15), 16));
-    /* Destination pointer is updated according to the address modifier, inc */
-    pOut += inc;
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    py = pSrc1 - count;
-    px = pIn1;
-
-    /* Increment the MAC count */
-    count++;
-
-    /* Decrement the loop counter */
-    blockSize1--;
-  }
-
-  /* --------------------------   
-   * Initializations of stage2   
-   * ------------------------*/
-
-  /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]   
-   * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]   
-   * ....   
-   * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]   
-   */
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-  /* count is index by which the pointer pIn1 to be incremented */
-  count = 0u;
-
-  /* -------------------   
-   * Stage2 process   
-   * ------------------*/
-
-  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.   
-   * So, to loop unroll over blockSize2,   
-   * srcBLen should be greater than or equal to 4, to loop unroll the srcBLen loop */
-  if(srcBLen >= 4u)
-  {
-    /* Loop unroll over blockSize2, by 4 */
-    blkCnt = blockSize2 >> 2u;
-
-    while(blkCnt > 0u)
-    {
-      /* Set all accumulators to zero */
-      acc0 = 0;
-      acc1 = 0;
-      acc2 = 0;
-      acc3 = 0;
-
-      /* read x[0], x[1] samples */
-      x0 = *__SIMD32(px);
-      /* read x[1], x[2] samples */
-      x1 = _SIMD32_OFFSET(px + 1);
-	  px += 2u;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      do
-      {
-        /* Read the first two inputB samples using SIMD:   
-         * y[0] and y[1] */
-        c0 = *__SIMD32(py)++;
-
-        /* acc0 +=  x[0] * y[0] + x[1] * y[1] */
-        acc0 = __SMLALD(x0, c0, acc0);
-
-        /* acc1 +=  x[1] * y[0] + x[2] * y[1] */
-        acc1 = __SMLALD(x1, c0, acc1);
-
-        /* Read x[2], x[3] */
-        x2 = *__SIMD32(px);
-
-        /* Read x[3], x[4] */
-        x3 = _SIMD32_OFFSET(px + 1);
-
-        /* acc2 +=  x[2] * y[0] + x[3] * y[1] */
-        acc2 = __SMLALD(x2, c0, acc2);
-
-        /* acc3 +=  x[3] * y[0] + x[4] * y[1] */
-        acc3 = __SMLALD(x3, c0, acc3);
-
-        /* Read y[2] and y[3] */
-        c0 = *__SIMD32(py)++;
-
-        /* acc0 +=  x[2] * y[2] + x[3] * y[3] */
-        acc0 = __SMLALD(x2, c0, acc0);
-
-        /* acc1 +=  x[3] * y[2] + x[4] * y[3] */
-        acc1 = __SMLALD(x3, c0, acc1);
-
-        /* Read x[4], x[5] */
-        x0 = _SIMD32_OFFSET(px + 2);
-
-        /* Read x[5], x[6] */
-        x1 = _SIMD32_OFFSET(px + 3);
-
-		px += 4u;
-
-        /* acc2 +=  x[4] * y[2] + x[5] * y[3] */
-        acc2 = __SMLALD(x0, c0, acc2);
-
-        /* acc3 +=  x[5] * y[2] + x[6] * y[3] */
-        acc3 = __SMLALD(x1, c0, acc3);
-
-      } while(--k);
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      if(k == 1u)
-      {
-        /* Read y[4] */
-        c0 = *py;
-#ifdef  ARM_MATH_BIG_ENDIAN
-
-        c0 = c0 << 16u;
-
-#else
-
-        c0 = c0 & 0x0000FFFF;
-
-#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
-        /* Read x[7] */
-        x3 = *__SIMD32(px);
-		px++;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLALD(x0, c0, acc0);
-        acc1 = __SMLALD(x1, c0, acc1);
-        acc2 = __SMLALDX(x1, c0, acc2);
-        acc3 = __SMLALDX(x3, c0, acc3);
-      }
-
-      if(k == 2u)
-      {
-        /* Read y[4], y[5] */
-        c0 = *__SIMD32(py);
-
-        /* Read x[7], x[8] */
-        x3 = *__SIMD32(px);
-
-        /* Read x[9] */
-        x2 = _SIMD32_OFFSET(px + 1);
-		px += 2u;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLALD(x0, c0, acc0);
-        acc1 = __SMLALD(x1, c0, acc1);
-        acc2 = __SMLALD(x3, c0, acc2);
-        acc3 = __SMLALD(x2, c0, acc3);
-      }
-
-      if(k == 3u)
-      {
-        /* Read y[4], y[5] */
-        c0 = *__SIMD32(py)++;
-
-        /* Read x[7], x[8] */
-        x3 = *__SIMD32(px);
-
-        /* Read x[9] */
-        x2 = _SIMD32_OFFSET(px + 1);
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLALD(x0, c0, acc0);
-        acc1 = __SMLALD(x1, c0, acc1);
-        acc2 = __SMLALD(x3, c0, acc2);
-        acc3 = __SMLALD(x2, c0, acc3);
-
-        c0 = (*py);
-
-        /* Read y[6] */
-#ifdef  ARM_MATH_BIG_ENDIAN
-
-        c0 = c0 << 16u;
-#else
-
-        c0 = c0 & 0x0000FFFF;
-#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
-        /* Read x[10] */
-        x3 = _SIMD32_OFFSET(px + 2);
-		px += 3u;
-
-        /* Perform the multiply-accumulates */
-        acc0 = __SMLALDX(x1, c0, acc0);
-        acc1 = __SMLALD(x2, c0, acc1);
-        acc2 = __SMLALDX(x2, c0, acc2);
-        acc3 = __SMLALDX(x3, c0, acc3);
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = (q15_t) (__SSAT(acc0 >> 15, 16));
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      *pOut = (q15_t) (__SSAT(acc1 >> 15, 16));
-      pOut += inc;
-
-      *pOut = (q15_t) (__SSAT(acc2 >> 15, 16));
-      pOut += inc;
-
-      *pOut = (q15_t) (__SSAT(acc3 >> 15, 16));
-      pOut += inc;
-
-      /* Increment the count by 4 as 4 output values are computed */
-      count += 4u;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.   
-     ** No loop unrolling is used. */
-    blkCnt = blockSize2 % 0x4u;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += ((q63_t) * px++ * *py++);
-        sum += ((q63_t) * px++ * *py++);
-        sum += ((q63_t) * px++ * *py++);
-        sum += ((q63_t) * px++ * *py++);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += ((q63_t) * px++ * *py++);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = (q15_t) (__SSAT(sum >> 15, 16));
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      /* Increment count by 1, as one output value is computed */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-  else
-  {
-    /* If the srcBLen is not a multiple of 4,   
-     * the blockSize2 loop cannot be unrolled by 4 */
-    blkCnt = blockSize2;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Loop over srcBLen */
-      k = srcBLen;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum += ((q63_t) * px++ * *py++);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = (q15_t) (__SSAT(sum >> 15, 16));
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-
-  /* --------------------------   
-   * Initializations of stage3   
-   * -------------------------*/
-
-  /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]   
-   * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]   
-   * ....   
-   * sum +=  x[srcALen-2] * y[0] + x[srcALen-1] * y[1]   
-   * sum +=  x[srcALen-1] * y[0]   
-   */
-
-  /* In this stage the MAC operations are decreased by 1 for every iteration.   
-     The count variable holds the number of MAC operations performed */
-  count = srcBLen - 1u;
-
-  /* Working pointer of inputA */
-  pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
-  px = pSrc1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-  /* -------------------   
-   * Stage3 process   
-   * ------------------*/
-
-  while(blockSize3 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      /* sum += x[srcALen - srcBLen + 4] * y[3] , sum += x[srcALen - srcBLen + 3] * y[2] */
-      sum = __SMLALD(*__SIMD32(px)++, *__SIMD32(py)++, sum);
-      /* sum += x[srcALen - srcBLen + 2] * y[1] , sum += x[srcALen - srcBLen + 1] * y[0] */
-      sum = __SMLALD(*__SIMD32(px)++, *__SIMD32(py)++, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.   
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      sum = __SMLALD(*px++, *py++, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut = (q15_t) (__SSAT((sum >> 15), 16));
-    /* Destination pointer is updated according to the address modifier, inc */
-    pOut += inc;
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    px = ++pSrc1;
-    py = pIn2;
-
-    /* Decrement the MAC count */
-    count--;
-
-    /* Decrement the loop counter */
-    blockSize3--;
-  }
-
-#else
-
-/* Run the below code for Cortex-M0 */
-
-  q15_t *pIn1 = pSrcA;                           /* inputA pointer               */
-  q15_t *pIn2 = pSrcB + (srcBLen - 1u);          /* inputB pointer               */
-  q63_t sum;                                     /* Accumulators                  */
-  uint32_t i = 0u, j;                            /* loop counters */
-  uint32_t inv = 0u;                             /* Reverse order flag */
-  uint32_t tot = 0u;                             /* Length */
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  /* But CORR(x, y) is reverse of CORR(y, x) */
-  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
-  /* and a varaible, inv is set to 1 */
-  /* If lengths are not equal then zero pad has to be done to  make the two   
-   * inputs of same length. But to improve the performance, we include zeroes   
-   * in the output instead of zero padding either of the the inputs*/
-  /* If srcALen > srcBLen, (srcALen - srcBLen) zeroes has to included in the   
-   * starting of the output buffer */
-  /* If srcALen < srcBLen, (srcALen - srcBLen) zeroes has to included in the  
-   * ending of the output buffer */
-  /* Once the zero padding is done the remaining of the output is calcualted  
-   * using convolution but with the shorter signal time shifted. */
-
-  /* Calculate the length of the remaining sequence */
-  tot = ((srcALen + srcBLen) - 2u);
-
-  if(srcALen > srcBLen)
-  {
-    /* Calculating the number of zeros to be padded to the output */
-    j = srcALen - srcBLen;
-
-    /* Initialise the pointer after zero padding */
-    pDst += j;
-  }
-
-  else if(srcALen < srcBLen)
-  {
-    /* Initialization to inputB pointer */
-    pIn1 = pSrcB;
-
-    /* Initialization to the end of inputA pointer */
-    pIn2 = pSrcA + (srcALen - 1u);
-
-    /* Initialisation of the pointer after zero padding */
-    pDst = pDst + tot;
-
-    /* Swapping the lengths */
-    j = srcALen;
-    srcALen = srcBLen;
-    srcBLen = j;
-
-    /* Setting the reverse flag */
-    inv = 1;
-
-  }
-
-  /* Loop to calculate convolution for output length number of times */
-  for (i = 0u; i <= tot; i++)
-  {
-    /* Initialize sum with zero to carry on MAC operations */
-    sum = 0;
-
-    /* Loop to perform MAC operations according to convolution equation */
-    for (j = 0u; j <= i; j++)
-    {
-      /* Check the array limitations */
-      if((((i - j) < srcBLen) && (j < srcALen)))
-      {
-        /* z[i] += x[i-j] * y[j] */
-        sum += ((q31_t) pIn1[j] * pIn2[-((int32_t) i - j)]);
-      }
-    }
-    /* Store the output in the destination buffer */
-    if(inv == 1)
-      *pDst-- = (q15_t) __SSAT((sum >> 15u), 16u);
-    else
-      *pDst++ = (q15_t) __SSAT((sum >> 15u), 16u);
-  }
-
-#endif /*#if (defined(ARM_MATH_CM4) || defined(ARM_MATH_CM3)) && !defined(UNALIGNED_SUPPORT_DISABLE) */
-
-}
-
-/**   
- * @} end of Corr group   
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_q31.c
deleted file mode 100644
index c81f8600d..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_q31.c
+++ /dev/null
@@ -1,664 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_correlate_q31.c    
-*    
-* Description:	Correlation of Q31 sequences.  
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.11 2011/10/18  
-*    Bug Fix in conv, correlation, partial convolution.  
-* 
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-*    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup Corr    
- * @{    
- */
-
-/**    
- * @brief Correlation of Q31 sequences.    
- * @param[in] *pSrcA points to the first input sequence.    
- * @param[in] srcALen length of the first input sequence.    
- * @param[in] *pSrcB points to the second input sequence.    
- * @param[in] srcBLen length of the second input sequence.    
- * @param[out] *pDst points to the location where the output result is written.  Length 2 * max(srcALen, srcBLen) - 1.    
- * @return none.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * The function is implemented using an internal 64-bit accumulator.    
- * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.    
- * There is no saturation on intermediate additions.    
- * Thus, if the accumulator overflows it wraps around and distorts the result.    
- * The input signals should be scaled down to avoid intermediate overflows.    
- * Scale down one of the inputs by 1/min(srcALen, srcBLen)to avoid overflows since a    
- * maximum of min(srcALen, srcBLen) number of additions is carried internally.    
- * The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result.    
- *    
- * \par    
- * See arm_correlate_fast_q31() for a faster but less precise implementation of this function for Cortex-M3 and Cortex-M4.    
- */
-
-void arm_correlate_q31(
-  q31_t * pSrcA,
-  uint32_t srcALen,
-  q31_t * pSrcB,
-  uint32_t srcBLen,
-  q31_t * pDst)
-{
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q31_t *pIn1;                                   /* inputA pointer               */
-  q31_t *pIn2;                                   /* inputB pointer               */
-  q31_t *pOut = pDst;                            /* output pointer               */
-  q31_t *px;                                     /* Intermediate inputA pointer  */
-  q31_t *py;                                     /* Intermediate inputB pointer  */
-  q31_t *pSrc1;                                  /* Intermediate pointers        */
-  q63_t sum, acc0, acc1, acc2;                   /* Accumulators                  */
-  q31_t x0, x1, x2, c0;                          /* temporary variables for holding input and coefficient values */
-  uint32_t j, k = 0u, count, blkCnt, outBlockSize, blockSize1, blockSize2, blockSize3;  /* loop counter                 */
-  int32_t inc = 1;                               /* Destination address modifier */
-
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  /* But CORR(x, y) is reverse of CORR(y, x) */
-  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
-  /* and the destination pointer modifier, inc is set to -1 */
-  /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
-  /* But to improve the performance,    
-   * we include zeroes in the output instead of zero padding either of the the inputs*/
-  /* If srcALen > srcBLen,    
-   * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
-  /* If srcALen < srcBLen,    
-   * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = (pSrcA);
-
-    /* Initialization of inputB pointer */
-    pIn2 = (pSrcB);
-
-    /* Number of output samples is calculated */
-    outBlockSize = (2u * srcALen) - 1u;
-
-    /* When srcALen > srcBLen, zero padding is done to srcB    
-     * to make their lengths equal.    
-     * Instead, (outBlockSize - (srcALen + srcBLen - 1))    
-     * number of output samples are made zero */
-    j = outBlockSize - (srcALen + (srcBLen - 1u));
-
-    /* Updating the pointer position to non zero value */
-    pOut += j;
-
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = (pSrcB);
-
-    /* Initialization of inputB pointer */
-    pIn2 = (pSrcA);
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-
-    /* CORR(x, y) = Reverse order(CORR(y, x)) */
-    /* Hence set the destination pointer to point to the last output sample */
-    pOut = pDst + ((srcALen + srcBLen) - 2u);
-
-    /* Destination address modifier is set to -1 */
-    inc = -1;
-
-  }
-
-  /* The function is internally    
-   * divided into three parts according to the number of multiplications that has to be    
-   * taken place between inputA samples and inputB samples. In the first part of the    
-   * algorithm, the multiplications increase by one for every iteration.    
-   * In the second part of the algorithm, srcBLen number of multiplications are done.    
-   * In the third part of the algorithm, the multiplications decrease by one    
-   * for every iteration.*/
-  /* The algorithm is implemented in three stages.    
-   * The loop counters of each stage is initiated here. */
-  blockSize1 = srcBLen - 1u;
-  blockSize2 = srcALen - (srcBLen - 1u);
-  blockSize3 = blockSize1;
-
-  /* --------------------------    
-   * Initializations of stage1    
-   * -------------------------*/
-
-  /* sum = x[0] * y[srcBlen - 1]    
-   * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1]    
-   * ....    
-   * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]    
-   */
-
-  /* In this stage the MAC operations are increased by 1 for every iteration.    
-     The count variable holds the number of MAC operations performed */
-  count = 1u;
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  pSrc1 = pIn2 + (srcBLen - 1u);
-  py = pSrc1;
-
-  /* ------------------------    
-   * Stage1 process    
-   * ----------------------*/
-
-  /* The first stage starts here */
-  while(blockSize1 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* x[0] * y[srcBLen - 4] */
-      sum += (q63_t) * px++ * (*py++);
-      /* x[1] * y[srcBLen - 3] */
-      sum += (q63_t) * px++ * (*py++);
-      /* x[2] * y[srcBLen - 2] */
-      sum += (q63_t) * px++ * (*py++);
-      /* x[3] * y[srcBLen - 1] */
-      sum += (q63_t) * px++ * (*py++);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.    
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      /* x[0] * y[srcBLen - 1] */
-      sum += (q63_t) * px++ * (*py++);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut = (q31_t) (sum >> 31);
-    /* Destination pointer is updated according to the address modifier, inc */
-    pOut += inc;
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    py = pSrc1 - count;
-    px = pIn1;
-
-    /* Increment the MAC count */
-    count++;
-
-    /* Decrement the loop counter */
-    blockSize1--;
-  }
-
-  /* --------------------------    
-   * Initializations of stage2    
-   * ------------------------*/
-
-  /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]    
-   * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]    
-   * ....    
-   * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]    
-   */
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-  /* count is index by which the pointer pIn1 to be incremented */
-  count = 0u;
-
-  /* -------------------    
-   * Stage2 process    
-   * ------------------*/
-
-  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.    
-   * So, to loop unroll over blockSize2,    
-   * srcBLen should be greater than or equal to 4 */
-  if(srcBLen >= 4u)
-  {
-    /* Loop unroll by 3 */
-    blkCnt = blockSize2 / 3;
-
-    while(blkCnt > 0u)
-    {
-      /* Set all accumulators to zero */
-      acc0 = 0;
-      acc1 = 0;
-      acc2 = 0;
-
-      /* read x[0], x[1] samples */
-      x0 = *(px++);
-      x1 = *(px++);
-
-      /* Apply loop unrolling and compute 3 MACs simultaneously. */
-      k = srcBLen / 3;
-
-      /* First part of the processing with loop unrolling.  Compute 3 MACs at a time.        
-       ** a second loop below computes MACs for the remaining 1 to 2 samples. */
-      do
-      {
-        /* Read y[0] sample */
-        c0 = *(py);
-
-        /* Read x[2] sample */
-        x2 = *(px);
-
-        /* Perform the multiply-accumulate */
-        /* acc0 +=  x[0] * y[0] */
-        acc0 += ((q63_t) x0 * c0);
-        /* acc1 +=  x[1] * y[0] */
-        acc1 += ((q63_t) x1 * c0);
-        /* acc2 +=  x[2] * y[0] */
-        acc2 += ((q63_t) x2 * c0);
-
-        /* Read y[1] sample */
-        c0 = *(py + 1u);
-
-        /* Read x[3] sample */
-        x0 = *(px + 1u);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[1] * y[1] */
-        acc0 += ((q63_t) x1 * c0);
-        /* acc1 +=  x[2] * y[1] */
-        acc1 += ((q63_t) x2 * c0);
-        /* acc2 +=  x[3] * y[1] */
-        acc2 += ((q63_t) x0 * c0);
-
-        /* Read y[2] sample */
-        c0 = *(py + 2u);
-
-        /* Read x[4] sample */
-        x1 = *(px + 2u);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[2] * y[2] */
-        acc0 += ((q63_t) x2 * c0);
-        /* acc1 +=  x[3] * y[2] */
-        acc1 += ((q63_t) x0 * c0);
-        /* acc2 +=  x[4] * y[2] */
-        acc2 += ((q63_t) x1 * c0);
-
-        /* update scratch pointers */
-        px += 3u;
-        py += 3u;
-
-      } while(--k);
-
-      /* If the srcBLen is not a multiple of 3, compute any remaining MACs here.        
-       ** No loop unrolling is used. */
-      k = srcBLen - (3 * (srcBLen / 3));
-
-      while(k > 0u)
-      {
-        /* Read y[4] sample */
-        c0 = *(py++);
-
-        /* Read x[7] sample */
-        x2 = *(px++);
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[4] * y[4] */
-        acc0 += ((q63_t) x0 * c0);
-        /* acc1 +=  x[5] * y[4] */
-        acc1 += ((q63_t) x1 * c0);
-        /* acc2 +=  x[6] * y[4] */
-        acc2 += ((q63_t) x2 * c0);
-
-        /* Reuse the present samples for the next MAC */
-        x0 = x1;
-        x1 = x2;
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = (q31_t) (acc0 >> 31);
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      *pOut = (q31_t) (acc1 >> 31);
-      pOut += inc;
-
-      *pOut = (q31_t) (acc2 >> 31);
-      pOut += inc;
-
-      /* Increment the pointer pIn1 index, count by 3 */
-      count += 3u;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the blockSize2 is not a multiple of 3, compute any remaining output samples here.        
-     ** No loop unrolling is used. */
-    blkCnt = blockSize2 - 3 * (blockSize2 / 3);
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += (q63_t) * px++ * (*py++);
-        sum += (q63_t) * px++ * (*py++);
-        sum += (q63_t) * px++ * (*py++);
-        sum += (q63_t) * px++ * (*py++);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum += (q63_t) * px++ * (*py++);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = (q31_t) (sum >> 31);
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-  else
-  {
-    /* If the srcBLen is not a multiple of 4,    
-     * the blockSize2 loop cannot be unrolled by 4 */
-    blkCnt = blockSize2;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Loop over srcBLen */
-      k = srcBLen;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum += (q63_t) * px++ * (*py++);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = (q31_t) (sum >> 31);
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-
-  /* --------------------------    
-   * Initializations of stage3    
-   * -------------------------*/
-
-  /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]    
-   * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]    
-   * ....    
-   * sum +=  x[srcALen-2] * y[0] + x[srcALen-1] * y[1]    
-   * sum +=  x[srcALen-1] * y[0]    
-   */
-
-  /* In this stage the MAC operations are decreased by 1 for every iteration.    
-     The count variable holds the number of MAC operations performed */
-  count = srcBLen - 1u;
-
-  /* Working pointer of inputA */
-  pSrc1 = pIn1 + (srcALen - (srcBLen - 1u));
-  px = pSrc1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-  /* -------------------    
-   * Stage3 process    
-   * ------------------*/
-
-  while(blockSize3 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      /* sum += x[srcALen - srcBLen + 4] * y[3] */
-      sum += (q63_t) * px++ * (*py++);
-      /* sum += x[srcALen - srcBLen + 3] * y[2] */
-      sum += (q63_t) * px++ * (*py++);
-      /* sum += x[srcALen - srcBLen + 2] * y[1] */
-      sum += (q63_t) * px++ * (*py++);
-      /* sum += x[srcALen - srcBLen + 1] * y[0] */
-      sum += (q63_t) * px++ * (*py++);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.    
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      sum += (q63_t) * px++ * (*py++);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut = (q31_t) (sum >> 31);
-    /* Destination pointer is updated according to the address modifier, inc */
-    pOut += inc;
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    px = ++pSrc1;
-    py = pIn2;
-
-    /* Decrement the MAC count */
-    count--;
-
-    /* Decrement the loop counter */
-    blockSize3--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  q31_t *pIn1 = pSrcA;                           /* inputA pointer               */
-  q31_t *pIn2 = pSrcB + (srcBLen - 1u);          /* inputB pointer               */
-  q63_t sum;                                     /* Accumulators                  */
-  uint32_t i = 0u, j;                            /* loop counters */
-  uint32_t inv = 0u;                             /* Reverse order flag */
-  uint32_t tot = 0u;                             /* Length */
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  /* But CORR(x, y) is reverse of CORR(y, x) */
-  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
-  /* and a varaible, inv is set to 1 */
-  /* If lengths are not equal then zero pad has to be done to  make the two    
-   * inputs of same length. But to improve the performance, we include zeroes    
-   * in the output instead of zero padding either of the the inputs*/
-  /* If srcALen > srcBLen, (srcALen - srcBLen) zeroes has to included in the    
-   * starting of the output buffer */
-  /* If srcALen < srcBLen, (srcALen - srcBLen) zeroes has to included in the   
-   * ending of the output buffer */
-  /* Once the zero padding is done the remaining of the output is calcualted   
-   * using correlation but with the shorter signal time shifted. */
-
-  /* Calculate the length of the remaining sequence */
-  tot = ((srcALen + srcBLen) - 2u);
-
-  if(srcALen > srcBLen)
-  {
-    /* Calculating the number of zeros to be padded to the output */
-    j = srcALen - srcBLen;
-
-    /* Initialise the pointer after zero padding */
-    pDst += j;
-  }
-
-  else if(srcALen < srcBLen)
-  {
-    /* Initialization to inputB pointer */
-    pIn1 = pSrcB;
-
-    /* Initialization to the end of inputA pointer */
-    pIn2 = pSrcA + (srcALen - 1u);
-
-    /* Initialisation of the pointer after zero padding */
-    pDst = pDst + tot;
-
-    /* Swapping the lengths */
-    j = srcALen;
-    srcALen = srcBLen;
-    srcBLen = j;
-
-    /* Setting the reverse flag */
-    inv = 1;
-
-  }
-
-  /* Loop to calculate correlation for output length number of times */
-  for (i = 0u; i <= tot; i++)
-  {
-    /* Initialize sum with zero to carry on MAC operations */
-    sum = 0;
-
-    /* Loop to perform MAC operations according to correlation equation */
-    for (j = 0u; j <= i; j++)
-    {
-      /* Check the array limitations */
-      if((((i - j) < srcBLen) && (j < srcALen)))
-      {
-        /* z[i] += x[i-j] * y[j] */
-        sum += ((q63_t) pIn1[j] * pIn2[-((int32_t) i - j)]);
-      }
-    }
-    /* Store the output in the destination buffer */
-    if(inv == 1)
-      *pDst-- = (q31_t) (sum >> 31u);
-    else
-      *pDst++ = (q31_t) (sum >> 31u);
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0 */
-
-}
-
-/**    
- * @} end of Corr group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_q7.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_q7.c
deleted file mode 100644
index e03e4997b..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_correlate_q7.c
+++ /dev/null
@@ -1,789 +0,0 @@
-/* ----------------------------------------------------------------------   
-* Copyright (C) 2010 ARM Limited. All rights reserved.   
-*   
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*   
-* Project: 	    CMSIS DSP Library   
-* Title:		arm_correlate_q7.c   
-*   
-* Description:	Correlation of Q7 sequences. 
-*   
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*
-* Version 1.0.11 2011/10/18 
-*    Bug Fix in conv, correlation, partial convolution. 
-*
-* Version 1.0.10 2011/7/15 
-*    Big Endian support added and Merged M0 and M3/M4 Source code.  
-*   
-* Version 1.0.3 2010/11/29  
-*    Re-organized the CMSIS folders and updated documentation.   
-*    
-* Version 1.0.2 2010/11/11   
-*    Documentation updated.    
-*   
-* Version 1.0.1 2010/10/05    
-*    Production release and review comments incorporated.   
-*   
-* Version 1.0.0 2010/09/20    
-*    Production release and review comments incorporated   
-*   
-* Version 0.0.7  2010/06/10    
-*    Misra-C changes done   
-*   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**   
- * @ingroup groupFilters   
- */
-
-/**   
- * @addtogroup Corr   
- * @{   
- */
-
-/**   
- * @brief Correlation of Q7 sequences.   
- * @param[in] *pSrcA points to the first input sequence.   
- * @param[in] srcALen length of the first input sequence.   
- * @param[in] *pSrcB points to the second input sequence.   
- * @param[in] srcBLen length of the second input sequence.   
- * @param[out] *pDst points to the location where the output result is written.  Length 2 * max(srcALen, srcBLen) - 1.   
- * @return none.   
- *   
- * @details   
- * Scaling and Overflow Behavior:   
- *   
- * \par   
- * The function is implemented using a 32-bit internal accumulator.   
- * Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result.   
- * The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format.   
- * This approach provides 17 guard bits and there is no risk of overflow as long as max(srcALen, srcBLen)<131072.   
- * The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and saturated to 1.7 format.   
- *
- * \par    
- * Refer the function arm_correlate_opt_q7() for a faster implementation of this function.
- * 
- */
-
-void arm_correlate_q7(
-  q7_t * pSrcA,
-  uint32_t srcALen,
-  q7_t * pSrcB,
-  uint32_t srcBLen,
-  q7_t * pDst)
-{
-
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q7_t *pIn1;                                    /* inputA pointer               */
-  q7_t *pIn2;                                    /* inputB pointer               */
-  q7_t *pOut = pDst;                             /* output pointer               */
-  q7_t *px;                                      /* Intermediate inputA pointer  */
-  q7_t *py;                                      /* Intermediate inputB pointer  */
-  q7_t *pSrc1;                                   /* Intermediate pointers        */
-  q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulators                  */
-  q31_t input1, input2;                          /* temporary variables */
-  q15_t in1, in2;                                /* temporary variables */
-  q7_t x0, x1, x2, x3, c0, c1;                   /* temporary variables for holding input and coefficient values */
-  uint32_t j, k = 0u, count, blkCnt, outBlockSize, blockSize1, blockSize2, blockSize3;  /* loop counter                 */
-  int32_t inc = 1;
-
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  /* But CORR(x, y) is reverse of CORR(y, x) */
-  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
-  /* and the destination pointer modifier, inc is set to -1 */
-  /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
-  /* But to improve the performance,   
-   * we include zeroes in the output instead of zero padding either of the the inputs*/
-  /* If srcALen > srcBLen,   
-   * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
-  /* If srcALen < srcBLen,   
-   * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
-  if(srcALen >= srcBLen)
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = (pSrcA);
-
-    /* Initialization of inputB pointer */
-    pIn2 = (pSrcB);
-
-    /* Number of output samples is calculated */
-    outBlockSize = (2u * srcALen) - 1u;
-
-    /* When srcALen > srcBLen, zero padding is done to srcB   
-     * to make their lengths equal.   
-     * Instead, (outBlockSize - (srcALen + srcBLen - 1))   
-     * number of output samples are made zero */
-    j = outBlockSize - (srcALen + (srcBLen - 1u));
-
-    /* Updating the pointer position to non zero value */
-    pOut += j;
-
-  }
-  else
-  {
-    /* Initialization of inputA pointer */
-    pIn1 = (pSrcB);
-
-    /* Initialization of inputB pointer */
-    pIn2 = (pSrcA);
-
-    /* srcBLen is always considered as shorter or equal to srcALen */
-    j = srcBLen;
-    srcBLen = srcALen;
-    srcALen = j;
-
-    /* CORR(x, y) = Reverse order(CORR(y, x)) */
-    /* Hence set the destination pointer to point to the last output sample */
-    pOut = pDst + ((srcALen + srcBLen) - 2u);
-
-    /* Destination address modifier is set to -1 */
-    inc = -1;
-
-  }
-
-  /* The function is internally   
-   * divided into three parts according to the number of multiplications that has to be   
-   * taken place between inputA samples and inputB samples. In the first part of the   
-   * algorithm, the multiplications increase by one for every iteration.   
-   * In the second part of the algorithm, srcBLen number of multiplications are done.   
-   * In the third part of the algorithm, the multiplications decrease by one   
-   * for every iteration.*/
-  /* The algorithm is implemented in three stages.   
-   * The loop counters of each stage is initiated here. */
-  blockSize1 = srcBLen - 1u;
-  blockSize2 = srcALen - (srcBLen - 1u);
-  blockSize3 = blockSize1;
-
-  /* --------------------------   
-   * Initializations of stage1   
-   * -------------------------*/
-
-  /* sum = x[0] * y[srcBlen - 1]   
-   * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1]   
-   * ....   
-   * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]   
-   */
-
-  /* In this stage the MAC operations are increased by 1 for every iteration.   
-     The count variable holds the number of MAC operations performed */
-  count = 1u;
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  pSrc1 = pIn2 + (srcBLen - 1u);
-  py = pSrc1;
-
-  /* ------------------------   
-   * Stage1 process   
-   * ----------------------*/
-
-  /* The first stage starts here */
-  while(blockSize1 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* x[0] , x[1] */
-      in1 = (q15_t) * px++;
-      in2 = (q15_t) * px++;
-      input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-      /* y[srcBLen - 4] , y[srcBLen - 3] */
-      in1 = (q15_t) * py++;
-      in2 = (q15_t) * py++;
-      input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-      /* x[0] * y[srcBLen - 4] */
-      /* x[1] * y[srcBLen - 3] */
-      sum = __SMLAD(input1, input2, sum);
-
-      /* x[2] , x[3] */
-      in1 = (q15_t) * px++;
-      in2 = (q15_t) * px++;
-      input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-      /* y[srcBLen - 2] , y[srcBLen - 1] */
-      in1 = (q15_t) * py++;
-      in2 = (q15_t) * py++;
-      input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-      /* x[2] * y[srcBLen - 2] */
-      /* x[3] * y[srcBLen - 1] */
-      sum = __SMLAD(input1, input2, sum);
-
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.   
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      /* x[0] * y[srcBLen - 1] */
-      sum += (q31_t) ((q15_t) * px++ * *py++);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut = (q7_t) (__SSAT(sum >> 7, 8));
-    /* Destination pointer is updated according to the address modifier, inc */
-    pOut += inc;
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    py = pSrc1 - count;
-    px = pIn1;
-
-    /* Increment the MAC count */
-    count++;
-
-    /* Decrement the loop counter */
-    blockSize1--;
-  }
-
-  /* --------------------------   
-   * Initializations of stage2   
-   * ------------------------*/
-
-  /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]   
-   * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]   
-   * ....   
-   * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]   
-   */
-
-  /* Working pointer of inputA */
-  px = pIn1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-  /* count is index by which the pointer pIn1 to be incremented */
-  count = 0u;
-
-  /* -------------------   
-   * Stage2 process   
-   * ------------------*/
-
-  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.   
-   * So, to loop unroll over blockSize2,   
-   * srcBLen should be greater than or equal to 4 */
-  if(srcBLen >= 4u)
-  {
-    /* Loop unroll over blockSize2, by 4 */
-    blkCnt = blockSize2 >> 2u;
-
-    while(blkCnt > 0u)
-    {
-      /* Set all accumulators to zero */
-      acc0 = 0;
-      acc1 = 0;
-      acc2 = 0;
-      acc3 = 0;
-
-      /* read x[0], x[1], x[2] samples */
-      x0 = *px++;
-      x1 = *px++;
-      x2 = *px++;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      do
-      {
-        /* Read y[0] sample */
-        c0 = *py++;
-        /* Read y[1] sample */
-        c1 = *py++;
-
-        /* Read x[3] sample */
-        x3 = *px++;
-
-        /* x[0] and x[1] are packed */
-        in1 = (q15_t) x0;
-        in2 = (q15_t) x1;
-
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* y[0] and y[1] are packed */
-        in1 = (q15_t) c0;
-        in2 = (q15_t) c1;
-
-        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* acc0 += x[0] * y[0] + x[1] * y[1]  */
-        acc0 = __SMLAD(input1, input2, acc0);
-
-        /* x[1] and x[2] are packed */
-        in1 = (q15_t) x1;
-        in2 = (q15_t) x2;
-
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* acc1 += x[1] * y[0] + x[2] * y[1] */
-        acc1 = __SMLAD(input1, input2, acc1);
-
-        /* x[2] and x[3] are packed */
-        in1 = (q15_t) x2;
-        in2 = (q15_t) x3;
-
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* acc2 += x[2] * y[0] + x[3] * y[1]  */
-        acc2 = __SMLAD(input1, input2, acc2);
-
-        /* Read x[4] sample */
-        x0 = *(px++);
-
-        /* x[3] and x[4] are packed */
-        in1 = (q15_t) x3;
-        in2 = (q15_t) x0;
-
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* acc3 += x[3] * y[0] + x[4] * y[1]  */
-        acc3 = __SMLAD(input1, input2, acc3);
-
-        /* Read y[2] sample */
-        c0 = *py++;
-        /* Read y[3] sample */
-        c1 = *py++;
-
-        /* Read x[5] sample */
-        x1 = *px++;
-
-        /* x[2] and x[3] are packed */
-        in1 = (q15_t) x2;
-        in2 = (q15_t) x3;
-
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* y[2] and y[3] are packed */
-        in1 = (q15_t) c0;
-        in2 = (q15_t) c1;
-
-        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* acc0 += x[2] * y[2] + x[3] * y[3]  */
-        acc0 = __SMLAD(input1, input2, acc0);
-
-        /* x[3] and x[4] are packed */
-        in1 = (q15_t) x3;
-        in2 = (q15_t) x0;
-
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* acc1 += x[3] * y[2] + x[4] * y[3]  */
-        acc1 = __SMLAD(input1, input2, acc1);
-
-        /* x[4] and x[5] are packed */
-        in1 = (q15_t) x0;
-        in2 = (q15_t) x1;
-
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* acc2 += x[4] * y[2] + x[5] * y[3]  */
-        acc2 = __SMLAD(input1, input2, acc2);
-
-        /* Read x[6] sample */
-        x2 = *px++;
-
-        /* x[5] and x[6] are packed */
-        in1 = (q15_t) x1;
-        in2 = (q15_t) x2;
-
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* acc3 += x[5] * y[2] + x[6] * y[3]  */
-        acc3 = __SMLAD(input1, input2, acc3);
-
-      } while(--k);
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Read y[4] sample */
-        c0 = *py++;
-
-        /* Read x[7] sample */
-        x3 = *px++;
-
-        /* Perform the multiply-accumulates */
-        /* acc0 +=  x[4] * y[4] */
-        acc0 += ((q15_t) x0 * c0);
-        /* acc1 +=  x[5] * y[4] */
-        acc1 += ((q15_t) x1 * c0);
-        /* acc2 +=  x[6] * y[4] */
-        acc2 += ((q15_t) x2 * c0);
-        /* acc3 +=  x[7] * y[4] */
-        acc3 += ((q15_t) x3 * c0);
-
-        /* Reuse the present samples for the next MAC */
-        x0 = x1;
-        x1 = x2;
-        x2 = x3;
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = (q7_t) (__SSAT(acc0 >> 7, 8));
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      *pOut = (q7_t) (__SSAT(acc1 >> 7, 8));
-      pOut += inc;
-
-      *pOut = (q7_t) (__SSAT(acc2 >> 7, 8));
-      pOut += inc;
-
-      *pOut = (q7_t) (__SSAT(acc3 >> 7, 8));
-      pOut += inc;
-
-	  count += 4u;
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.   
-     ** No loop unrolling is used. */
-    blkCnt = blockSize2 % 0x4u;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Apply loop unrolling and compute 4 MACs simultaneously. */
-      k = srcBLen >> 2u;
-
-      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-      while(k > 0u)
-      {
-        /* Reading two inputs of SrcA buffer and packing */
-        in1 = (q15_t) * px++;
-        in2 = (q15_t) * px++;
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* Reading two inputs of SrcB buffer and packing */
-        in1 = (q15_t) * py++;
-        in2 = (q15_t) * py++;
-        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* Perform the multiply-accumulates */
-        sum = __SMLAD(input1, input2, sum);
-
-        /* Reading two inputs of SrcA buffer and packing */
-        in1 = (q15_t) * px++;
-        in2 = (q15_t) * px++;
-        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* Reading two inputs of SrcB buffer and packing */
-        in1 = (q15_t) * py++;
-        in2 = (q15_t) * py++;
-        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-        /* Perform the multiply-accumulates */
-        sum = __SMLAD(input1, input2, sum);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
-       ** No loop unrolling is used. */
-      k = srcBLen % 0x4u;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulates */
-        sum += ((q15_t) * px++ * *py++);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = (q7_t) (__SSAT(sum >> 7, 8));
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      /* Increment the pointer pIn1 index, count by 1 */
-	  count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-  else
-  {
-    /* If the srcBLen is not a multiple of 4,   
-     * the blockSize2 loop cannot be unrolled by 4 */
-    blkCnt = blockSize2;
-
-    while(blkCnt > 0u)
-    {
-      /* Accumulator is made zero for every iteration */
-      sum = 0;
-
-      /* Loop over srcBLen */
-      k = srcBLen;
-
-      while(k > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum += ((q15_t) * px++ * *py++);
-
-        /* Decrement the loop counter */
-        k--;
-      }
-
-      /* Store the result in the accumulator in the destination buffer. */
-      *pOut = (q7_t) (__SSAT(sum >> 7, 8));
-      /* Destination pointer is updated according to the address modifier, inc */
-      pOut += inc;
-
-      /* Increment the MAC count */
-      count++;
-
-      /* Update the inputA and inputB pointers for next MAC calculation */
-      px = pIn1 + count;
-      py = pIn2;
-
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-  }
-
-  /* --------------------------   
-   * Initializations of stage3   
-   * -------------------------*/
-
-  /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]   
-   * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]   
-   * ....   
-   * sum +=  x[srcALen-2] * y[0] + x[srcALen-1] * y[1]   
-   * sum +=  x[srcALen-1] * y[0]   
-   */
-
-  /* In this stage the MAC operations are decreased by 1 for every iteration.   
-     The count variable holds the number of MAC operations performed */
-  count = srcBLen - 1u;
-
-  /* Working pointer of inputA */
-  pSrc1 = pIn1 + (srcALen - (srcBLen - 1u));
-  px = pSrc1;
-
-  /* Working pointer of inputB */
-  py = pIn2;
-
-  /* -------------------   
-   * Stage3 process   
-   * ------------------*/
-
-  while(blockSize3 > 0u)
-  {
-    /* Accumulator is made zero for every iteration */
-    sum = 0;
-
-    /* Apply loop unrolling and compute 4 MACs simultaneously. */
-    k = count >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
-     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
-    while(k > 0u)
-    {
-      /* x[srcALen - srcBLen + 1] , x[srcALen - srcBLen + 2]  */
-      in1 = (q15_t) * px++;
-      in2 = (q15_t) * px++;
-      input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-      /* y[0] , y[1] */
-      in1 = (q15_t) * py++;
-      in2 = (q15_t) * py++;
-      input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-      /* sum += x[srcALen - srcBLen + 1] * y[0] */
-      /* sum += x[srcALen - srcBLen + 2] * y[1] */
-      sum = __SMLAD(input1, input2, sum);
-
-      /* x[srcALen - srcBLen + 3] , x[srcALen - srcBLen + 4] */
-      in1 = (q15_t) * px++;
-      in2 = (q15_t) * px++;
-      input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-      /* y[2] , y[3] */
-      in1 = (q15_t) * py++;
-      in2 = (q15_t) * py++;
-      input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
-
-      /* sum += x[srcALen - srcBLen + 3] * y[2] */
-      /* sum += x[srcALen - srcBLen + 4] * y[3] */
-      sum = __SMLAD(input1, input2, sum);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* If the count is not a multiple of 4, compute any remaining MACs here.   
-     ** No loop unrolling is used. */
-    k = count % 0x4u;
-
-    while(k > 0u)
-    {
-      /* Perform the multiply-accumulates */
-      sum += ((q15_t) * px++ * *py++);
-
-      /* Decrement the loop counter */
-      k--;
-    }
-
-    /* Store the result in the accumulator in the destination buffer. */
-    *pOut = (q7_t) (__SSAT(sum >> 7, 8));
-    /* Destination pointer is updated according to the address modifier, inc */
-    pOut += inc;
-
-    /* Update the inputA and inputB pointers for next MAC calculation */
-    px = ++pSrc1;
-    py = pIn2;
-
-    /* Decrement the MAC count */
-    count--;
-
-    /* Decrement the loop counter */
-    blockSize3--;
-  }
-
-#else
-
-/* Run the below code for Cortex-M0 */
-
-  q7_t *pIn1 = pSrcA;                            /* inputA pointer */
-  q7_t *pIn2 = pSrcB + (srcBLen - 1u);           /* inputB pointer */
-  q31_t sum;                                     /* Accumulator */
-  uint32_t i = 0u, j;                            /* loop counters */
-  uint32_t inv = 0u;                             /* Reverse order flag */
-  uint32_t tot = 0u;                             /* Length */
-
-  /* The algorithm implementation is based on the lengths of the inputs. */
-  /* srcB is always made to slide across srcA. */
-  /* So srcBLen is always considered as shorter or equal to srcALen */
-  /* But CORR(x, y) is reverse of CORR(y, x) */
-  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
-  /* and a varaible, inv is set to 1 */
-  /* If lengths are not equal then zero pad has to be done to  make the two   
-   * inputs of same length. But to improve the performance, we include zeroes   
-   * in the output instead of zero padding either of the the inputs*/
-  /* If srcALen > srcBLen, (srcALen - srcBLen) zeroes has to included in the   
-   * starting of the output buffer */
-  /* If srcALen < srcBLen, (srcALen - srcBLen) zeroes has to included in the  
-   * ending of the output buffer */
-  /* Once the zero padding is done the remaining of the output is calcualted  
-   * using convolution but with the shorter signal time shifted. */
-
-  /* Calculate the length of the remaining sequence */
-  tot = ((srcALen + srcBLen) - 2u);
-
-  if(srcALen > srcBLen)
-  {
-    /* Calculating the number of zeros to be padded to the output */
-    j = srcALen - srcBLen;
-
-    /* Initialise the pointer after zero padding */
-    pDst += j;
-  }
-
-  else if(srcALen < srcBLen)
-  {
-    /* Initialization to inputB pointer */
-    pIn1 = pSrcB;
-
-    /* Initialization to the end of inputA pointer */
-    pIn2 = pSrcA + (srcALen - 1u);
-
-    /* Initialisation of the pointer after zero padding */
-    pDst = pDst + tot;
-
-    /* Swapping the lengths */
-    j = srcALen;
-    srcALen = srcBLen;
-    srcBLen = j;
-
-    /* Setting the reverse flag */
-    inv = 1;
-
-  }
-
-  /* Loop to calculate convolution for output length number of times */
-  for (i = 0u; i <= tot; i++)
-  {
-    /* Initialize sum with zero to carry on MAC operations */
-    sum = 0;
-
-    /* Loop to perform MAC operations according to convolution equation */
-    for (j = 0u; j <= i; j++)
-    {
-      /* Check the array limitations */
-      if((((i - j) < srcBLen) && (j < srcALen)))
-      {
-        /* z[i] += x[i-j] * y[j] */
-        sum += ((q15_t) pIn1[j] * pIn2[-((int32_t) i - j)]);
-      }
-    }
-    /* Store the output in the destination buffer */
-    if(inv == 1)
-      *pDst-- = (q7_t) __SSAT((sum >> 7u), 8u);
-    else
-      *pDst++ = (q7_t) __SSAT((sum >> 7u), 8u);
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0 */
-
-}
-
-/**   
- * @} end of Corr group   
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_f32.c
deleted file mode 100644
index 1546f407d..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_f32.c
+++ /dev/null
@@ -1,518 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_fir_decimate_f32.c    
-*    
-* Description:	FIR decimation for floating-point sequences.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-*    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @defgroup FIR_decimate Finite Impulse Response (FIR) Decimator    
- *    
- * These functions combine an FIR filter together with a decimator.    
- * They are used in multirate systems for reducing the sample rate of a signal without introducing aliasing distortion.    
- * Conceptually, the functions are equivalent to the block diagram below:    
- * \image html FIRDecimator.gif "Components included in the FIR Decimator functions"    
- * When decimating by a factor of M, the signal should be prefiltered by a lowpass filter with a normalized    
- * cutoff frequency of 1/M in order to prevent aliasing distortion.    
- * The user of the function is responsible for providing the filter coefficients.    
- *    
- * The FIR decimator functions provided in the CMSIS DSP Library combine the FIR filter and the decimator in an efficient manner.    
- * Instead of calculating all of the FIR filter outputs and discarding M-1 out of every M, only the    
- * samples output by the decimator are computed.    
- * The functions operate on blocks of input and output data.    
- * pSrc points to an array of blockSize input values and    
- * pDst points to an array of blockSize/M output values.    
- * In order to have an integer number of output samples blockSize    
- * must always be a multiple of the decimation factor M.    
- *    
- * The library provides separate functions for Q15, Q31 and floating-point data types.    
- *    
- * \par Algorithm:    
- * The FIR portion of the algorithm uses the standard form filter:    
- * 
    
- *    y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1]    
- * 
    
- * where, b[n] are the filter coefficients.    
- * \par   
- * The pCoeffs points to a coefficient array of size numTaps.    
- * Coefficients are stored in time reversed order.    
- * \par    
- * 
    
- *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
- * 
    
- * \par    
- * pState points to a state array of size numTaps + blockSize - 1.    
- * Samples in the state buffer are stored in the order:    
- * \par    
- * 
    
- *    {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]}    
- * 
    
- * The state variables are updated after each block of data is processed, the coefficients are untouched.    
- *    
- * \par Instance Structure    
- * The coefficients and state variables for a filter are stored together in an instance data structure.    
- * A separate instance structure must be defined for each filter.    
- * Coefficient arrays may be shared among several instances while state variable array should be allocated separately.    
- * There are separate instance structure declarations for each of the 3 supported data types.    
- *    
- * \par Initialization Functions    
- * There is also an associated initialization function for each data type.    
- * The initialization function performs the following operations:    
- * - Sets the values of the internal structure fields.    
- * - Zeros out the values in the state buffer.    
- * - Checks to make sure that the size of the input is a multiple of the decimation factor.    
- *    
- * \par    
- * Use of the initialization function is optional.    
- * However, if the initialization function is used, then the instance structure cannot be placed into a const data section.    
- * To place an instance structure into a const data section, the instance structure must be manually initialized.    
- * The code below statically initializes each of the 3 different data type filter instance structures    
- * 
    
- *arm_fir_decimate_instance_f32 S = {M, numTaps, pCoeffs, pState};    
- *arm_fir_decimate_instance_q31 S = {M, numTaps, pCoeffs, pState};    
- *arm_fir_decimate_instance_q15 S = {M, numTaps, pCoeffs, pState};    
- * 
    
- * where M is the decimation factor; numTaps is the number of filter coefficients in the filter;    
- * pCoeffs is the address of the coefficient buffer;    
- * pState is the address of the state buffer.    
- * Be sure to set the values in the state buffer to zeros when doing static initialization.    
- *    
- * \par Fixed-Point Behavior    
- * Care must be taken when using the fixed-point versions of the FIR decimate filter functions.    
- * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.    
- * Refer to the function specific documentation below for usage guidelines.    
- */
-
-/**    
- * @addtogroup FIR_decimate    
- * @{    
- */
-
-  /**    
-   * @brief Processing function for the floating-point FIR decimator.    
-   * @param[in] *S        points to an instance of the floating-point FIR decimator structure.    
-   * @param[in] *pSrc     points to the block of input data.    
-   * @param[out] *pDst    points to the block of output data.    
-   * @param[in] blockSize number of input samples to process per call.    
-   * @return none.    
-   */
-
-void arm_fir_decimate_f32(
-  const arm_fir_decimate_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize)
-{
-  float32_t *pState = S->pState;                 /* State pointer */
-  float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
-  float32_t *pStateCurnt;                        /* Points to the current sample of the state */
-  float32_t *px, *pb;                            /* Temporary pointers for state and coefficient buffers */
-  float32_t sum0;                                /* Accumulator */
-  float32_t x0, c0;                              /* Temporary variables to hold state and coefficient values */
-  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
-  uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M;  /* Loop counters */
-
-#ifndef ARM_MATH_CM0
-
-  uint32_t blkCntN4;
-  float32_t *px0, *px1, *px2, *px3;
-  float32_t acc0, acc1, acc2, acc3;
-  float32_t x1, x2, x3;
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /* S->pState buffer contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = S->pState + (numTaps - 1u);
-
-  /* Total number of output samples to be computed */
-  blkCnt = outBlockSize / 4;
-  blkCntN4 = outBlockSize - (4 * blkCnt);
-
-  while(blkCnt > 0u)
-  {
-    /* Copy 4 * decimation factor number of new input samples into the state buffer */
-    i = 4 * S->M;
-
-    do
-    {
-      *pStateCurnt++ = *pSrc++;
-
-    } while(--i);
-
-    /* Set accumulators to zero */
-    acc0 = 0.0f;
-    acc1 = 0.0f;
-    acc2 = 0.0f;
-    acc3 = 0.0f;
-
-    /* Initialize state pointer for all the samples */
-    px0 = pState;
-    px1 = pState + S->M;
-    px2 = pState + 2 * S->M;
-    px3 = pState + 3 * S->M;
-
-    /* Initialize coeff pointer */
-    pb = pCoeffs;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    /* Loop over the number of taps.  Unroll by a factor of 4.       
-     ** Repeat until we've computed numTaps-4 coefficients. */
-
-    while(tapCnt > 0u)
-    {
-      /* Read the b[numTaps-1] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-1] sample for acc0 */
-      x0 = *(px0++);
-      /* Read x[n-numTaps-1] sample for acc1 */
-      x1 = *(px1++);
-      /* Read x[n-numTaps-1] sample for acc2 */
-      x2 = *(px2++);
-      /* Read x[n-numTaps-1] sample for acc3 */
-      x3 = *(px3++);
-
-      /* Perform the multiply-accumulate */
-      acc0 += x0 * c0;
-      acc1 += x1 * c0;
-      acc2 += x2 * c0;
-      acc3 += x3 * c0;
-
-      /* Read the b[numTaps-2] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-2] sample for acc0, acc1, acc2, acc3 */
-      x0 = *(px0++);
-      x1 = *(px1++);
-      x2 = *(px2++);
-      x3 = *(px3++);
-
-      /* Perform the multiply-accumulate */
-      acc0 += x0 * c0;
-      acc1 += x1 * c0;
-      acc2 += x2 * c0;
-      acc3 += x3 * c0;
-
-      /* Read the b[numTaps-3] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-3] sample acc0, acc1, acc2, acc3 */
-      x0 = *(px0++);
-      x1 = *(px1++);
-      x2 = *(px2++);
-      x3 = *(px3++);
-
-      /* Perform the multiply-accumulate */
-      acc0 += x0 * c0;
-      acc1 += x1 * c0;
-      acc2 += x2 * c0;
-      acc3 += x3 * c0;
-
-      /* Read the b[numTaps-4] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-4] sample acc0, acc1, acc2, acc3 */
-      x0 = *(px0++);
-      x1 = *(px1++);
-      x2 = *(px2++);
-      x3 = *(px3++);
-
-      /* Perform the multiply-accumulate */
-      acc0 += x0 * c0;
-      acc1 += x1 * c0;
-      acc2 += x2 * c0;
-      acc3 += x3 * c0;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Read coefficients */
-      c0 = *(pb++);
-
-      /* Fetch  state variables for acc0, acc1, acc2, acc3 */
-      x0 = *(px0++);
-      x1 = *(px1++);
-      x2 = *(px2++);
-      x3 = *(px3++);
-
-      /* Perform the multiply-accumulate */
-      acc0 += x0 * c0;
-      acc1 += x1 * c0;
-      acc2 += x2 * c0;
-      acc3 += x3 * c0;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Advance the state pointer by the decimation factor       
-     * to process the next group of decimation factor number samples */
-    pState = pState + 4 * S->M;
-
-    /* The result is in the accumulator, store in the destination buffer. */
-    *pDst++ = acc0;
-    *pDst++ = acc1;
-    *pDst++ = acc2;
-    *pDst++ = acc3;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  while(blkCntN4 > 0u)
-  {
-    /* Copy decimation factor number of new input samples into the state buffer */
-    i = S->M;
-
-    do
-    {
-      *pStateCurnt++ = *pSrc++;
-
-    } while(--i);
-
-    /* Set accumulator to zero */
-    sum0 = 0.0f;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = pCoeffs;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    /* Loop over the number of taps.  Unroll by a factor of 4.       
-     ** Repeat until we've computed numTaps-4 coefficients. */
-    while(tapCnt > 0u)
-    {
-      /* Read the b[numTaps-1] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-1] sample */
-      x0 = *(px++);
-
-      /* Perform the multiply-accumulate */
-      sum0 += x0 * c0;
-
-      /* Read the b[numTaps-2] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-2] sample */
-      x0 = *(px++);
-
-      /* Perform the multiply-accumulate */
-      sum0 += x0 * c0;
-
-      /* Read the b[numTaps-3] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-3] sample */
-      x0 = *(px++);
-
-      /* Perform the multiply-accumulate */
-      sum0 += x0 * c0;
-
-      /* Read the b[numTaps-4] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-4] sample */
-      x0 = *(px++);
-
-      /* Perform the multiply-accumulate */
-      sum0 += x0 * c0;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Read coefficients */
-      c0 = *(pb++);
-
-      /* Fetch 1 state variable */
-      x0 = *(px++);
-
-      /* Perform the multiply-accumulate */
-      sum0 += x0 * c0;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Advance the state pointer by the decimation factor       
-     * to process the next group of decimation factor number samples */
-    pState = pState + S->M;
-
-    /* The result is in the accumulator, store in the destination buffer. */
-    *pDst++ = sum0;
-
-    /* Decrement the loop counter */
-    blkCntN4--;
-  }
-
-  /* Processing is complete.    
-   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.    
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  i = (numTaps - 1u) >> 2;
-
-  /* copy data */
-  while(i > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-
-  i = (numTaps - 1u) % 0x04u;
-
-  /* copy data */
-  while(i > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-
-#else
-
-/* Run the below code for Cortex-M0 */
-
-  /* S->pState buffer contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = S->pState + (numTaps - 1u);
-
-  /* Total number of output samples to be computed */
-  blkCnt = outBlockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* Copy decimation factor number of new input samples into the state buffer */
-    i = S->M;
-
-    do
-    {
-      *pStateCurnt++ = *pSrc++;
-
-    } while(--i);
-
-    /* Set accumulator to zero */
-    sum0 = 0.0f;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = pCoeffs;
-
-    tapCnt = numTaps;
-
-    while(tapCnt > 0u)
-    {
-      /* Read coefficients */
-      c0 = *pb++;
-
-      /* Fetch 1 state variable */
-      x0 = *px++;
-
-      /* Perform the multiply-accumulate */
-      sum0 += x0 * c0;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Advance the state pointer by the decimation factor           
-     * to process the next group of decimation factor number samples */
-    pState = pState + S->M;
-
-    /* The result is in the accumulator, store in the destination buffer. */
-    *pDst++ = sum0;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Processing is complete.         
-   ** Now copy the last numTaps - 1 samples to the start of the state buffer.       
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  /* Copy numTaps number of values */
-  i = (numTaps - 1u);
-
-  /* copy data */
-  while(i > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0        */
-
-}
-
-/**    
- * @} end of FIR_decimate group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_fast_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_fast_q15.c
deleted file mode 100644
index 96f50e6f2..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_fast_q15.c
+++ /dev/null
@@ -1,590 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_fir_decimate_fast_q15.c    
-*    
-* Description:	Fast Q15 FIR Decimator.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_decimate    
- * @{    
- */
-
-/**    
- * @brief Processing function for the Q15 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4.    
- * @param[in] *S points to an instance of the Q15 FIR decimator structure.    
- * @param[in] *pSrc points to the block of input data.    
- * @param[out] *pDst points to the block of output data    
- * @param[in] blockSize number of input samples to process per call.    
- * @return none    
- *    
- * \par Restrictions   
- *  If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE   
- *	In this case input, output, state buffers should be aligned by 32-bit   
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * This fast version uses a 32-bit accumulator with 2.30 format.    
- * The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit.    
- * Thus, if the accumulator result overflows it wraps around and distorts the result.    
- * In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits (log2 is read as log to the base 2).    
- * The 2.30 accumulator is then truncated to 2.15 format and saturated to yield the 1.15 result.    
- *    
- * \par    
- * Refer to the function arm_fir_decimate_q15() for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion.    
- * Both the slow and the fast versions use the same instance structure.    
- * Use the function arm_fir_decimate_init_q15() to initialize the filter structure.    
- */
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-void arm_fir_decimate_fast_q15(
-  const arm_fir_decimate_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-  q15_t *pState = S->pState;                     /* State pointer */
-  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q15_t *pStateCurnt;                            /* Points to the current sample of the state */
-  q15_t *px;                                     /* Temporary pointer for state buffer */
-  q15_t *pb;                                     /* Temporary pointer coefficient buffer */
-  q31_t x0, x1, c0, c1;                          /* Temporary variables to hold state and coefficient values */
-  q31_t sum0;                                    /* Accumulators */
-  q31_t acc0, acc1;
-  q15_t *px0, *px1;
-  uint32_t blkCntN3;
-  uint32_t numTaps = S->numTaps;                 /* Number of taps */
-  uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M;  /* Loop counters */
-
-
-  /* S->pState buffer contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = S->pState + (numTaps - 1u);
-
-
-  /* Total number of output samples to be computed */
-  blkCnt = outBlockSize / 2;
-  blkCntN3 = outBlockSize - (2 * blkCnt);
-
-
-  while(blkCnt > 0u)
-  {
-    /* Copy decimation factor number of new input samples into the state buffer */
-    i = 2 * S->M;
-
-    do
-    {
-      *pStateCurnt++ = *pSrc++;
-
-    } while(--i);
-
-    /* Set accumulator to zero */
-    acc0 = 0;
-    acc1 = 0;
-
-    /* Initialize state pointer */
-    px0 = pState;
-
-    px1 = pState + S->M;
-
-
-    /* Initialize coeff pointer */
-    pb = pCoeffs;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    /* Loop over the number of taps.  Unroll by a factor of 4.       
-     ** Repeat until we've computed numTaps-4 coefficients. */
-    while(tapCnt > 0u)
-    {
-      /* Read the Read b[numTaps-1] and b[numTaps-2]  coefficients */
-      c0 = *__SIMD32(pb)++;
-
-      /* Read x[n-numTaps-1] and x[n-numTaps-2]sample */
-      x0 = *__SIMD32(px0)++;
-
-      x1 = *__SIMD32(px1)++;
-
-      /* Perform the multiply-accumulate */
-      acc0 = __SMLAD(x0, c0, acc0);
-
-      acc1 = __SMLAD(x1, c0, acc1);
-
-      /* Read the b[numTaps-3] and b[numTaps-4] coefficient */
-      c0 = *__SIMD32(pb)++;
-
-      /* Read x[n-numTaps-2] and x[n-numTaps-3] sample */
-      x0 = *__SIMD32(px0)++;
-
-      x1 = *__SIMD32(px1)++;
-
-      /* Perform the multiply-accumulate */
-      acc0 = __SMLAD(x0, c0, acc0);
-
-      acc1 = __SMLAD(x1, c0, acc1);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Read coefficients */
-      c0 = *pb++;
-
-      /* Fetch 1 state variable */
-      x0 = *px0++;
-
-      x1 = *px1++;
-
-      /* Perform the multiply-accumulate */
-      acc0 = __SMLAD(x0, c0, acc0);
-      acc1 = __SMLAD(x1, c0, acc1);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Advance the state pointer by the decimation factor       
-     * to process the next group of decimation factor number samples */
-    pState = pState + S->M * 2;
-
-    /* Store filter output, smlad returns the values in 2.14 format */
-    /* so downsacle by 15 to get output in 1.15 */
-    *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
-    *pDst++ = (q15_t) (__SSAT((acc1 >> 15), 16));
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-
-
-  while(blkCntN3 > 0u)
-  {
-    /* Copy decimation factor number of new input samples into the state buffer */
-    i = S->M;
-
-    do
-    {
-      *pStateCurnt++ = *pSrc++;
-
-    } while(--i);
-
-    /*Set sum to zero */
-    sum0 = 0;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = pCoeffs;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    /* Loop over the number of taps.  Unroll by a factor of 4.       
-     ** Repeat until we've computed numTaps-4 coefficients. */
-    while(tapCnt > 0u)
-    {
-      /* Read the Read b[numTaps-1] and b[numTaps-2]  coefficients */
-      c0 = *__SIMD32(pb)++;
-
-      /* Read x[n-numTaps-1] and x[n-numTaps-2]sample */
-      x0 = *__SIMD32(px)++;
-
-      /* Read the b[numTaps-3] and b[numTaps-4] coefficient */
-      c1 = *__SIMD32(pb)++;
-
-      /* Perform the multiply-accumulate */
-      sum0 = __SMLAD(x0, c0, sum0);
-
-      /* Read x[n-numTaps-2] and x[n-numTaps-3] sample */
-      x0 = *__SIMD32(px)++;
-
-      /* Perform the multiply-accumulate */
-      sum0 = __SMLAD(x0, c1, sum0);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Read coefficients */
-      c0 = *pb++;
-
-      /* Fetch 1 state variable */
-      x0 = *px++;
-
-      /* Perform the multiply-accumulate */
-      sum0 = __SMLAD(x0, c0, sum0);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Advance the state pointer by the decimation factor       
-     * to process the next group of decimation factor number samples */
-    pState = pState + S->M;
-
-    /* Store filter output, smlad returns the values in 2.14 format */
-    /* so downsacle by 15 to get output in 1.15 */
-    *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16));
-
-    /* Decrement the loop counter */
-    blkCntN3--;
-  }
-
-  /* Processing is complete.       
-   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.       
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  i = (numTaps - 1u) >> 2u;
-
-  /* copy data */
-  while(i > 0u)
-  {
-    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
-    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-
-  i = (numTaps - 1u) % 0x04u;
-
-  /* copy data */
-  while(i > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-}
-
-#else
-
-
-void arm_fir_decimate_fast_q15(
-  const arm_fir_decimate_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-  q15_t *pState = S->pState;                     /* State pointer */
-  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q15_t *pStateCurnt;                            /* Points to the current sample of the state */
-  q15_t *px;                                     /* Temporary pointer for state buffer */
-  q15_t *pb;                                     /* Temporary pointer coefficient buffer */
-  q15_t x0, x1, c0;                              /* Temporary variables to hold state and coefficient values */
-  q31_t sum0;                                    /* Accumulators */
-  q31_t acc0, acc1;
-  q15_t *px0, *px1;
-  uint32_t blkCntN3;
-  uint32_t numTaps = S->numTaps;                 /* Number of taps */
-  uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M;  /* Loop counters */
-
-
-  /* S->pState buffer contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = S->pState + (numTaps - 1u);
-
-
-  /* Total number of output samples to be computed */
-  blkCnt = outBlockSize / 2;
-  blkCntN3 = outBlockSize - (2 * blkCnt);
-
-  while(blkCnt > 0u)
-  {
-    /* Copy decimation factor number of new input samples into the state buffer */
-    i = 2 * S->M;
-
-    do
-    {
-      *pStateCurnt++ = *pSrc++;
-
-    } while(--i);
-
-    /* Set accumulator to zero */
-    acc0 = 0;
-    acc1 = 0;
-
-    /* Initialize state pointer */
-    px0 = pState;
-
-    px1 = pState + S->M;
-
-
-    /* Initialize coeff pointer */
-    pb = pCoeffs;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    /* Loop over the number of taps.  Unroll by a factor of 4.       
-     ** Repeat until we've computed numTaps-4 coefficients. */
-    while(tapCnt > 0u)
-    {
-      /* Read the Read b[numTaps-1] coefficients */
-      c0 = *pb++;
-
-      /* Read x[n-numTaps-1] for sample 0 and for sample 1 */
-      x0 = *px0++;
-      x1 = *px1++;
-
-      /* Perform the multiply-accumulate */
-      acc0 += x0 * c0;
-      acc1 += x1 * c0;
-
-      /* Read the b[numTaps-2] coefficient */
-      c0 = *pb++;
-
-      /* Read x[n-numTaps-2] for sample 0 and sample 1 */
-      x0 = *px0++;
-      x1 = *px1++;
-
-      /* Perform the multiply-accumulate */
-      acc0 += x0 * c0;
-      acc1 += x1 * c0;
-
-      /* Read the b[numTaps-3]  coefficients */
-      c0 = *pb++;
-
-      /* Read x[n-numTaps-3] for sample 0 and sample 1 */
-      x0 = *px0++;
-      x1 = *px1++;
-
-      /* Perform the multiply-accumulate */
-      acc0 += x0 * c0;
-      acc1 += x1 * c0;
-
-      /* Read the b[numTaps-4] coefficient */
-      c0 = *pb++;
-
-      /* Read x[n-numTaps-4] for sample 0 and sample 1 */
-      x0 = *px0++;
-      x1 = *px1++;
-
-      /* Perform the multiply-accumulate */
-      acc0 += x0 * c0;
-      acc1 += x1 * c0;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Read coefficients */
-      c0 = *pb++;
-
-      /* Fetch 1 state variable */
-      x0 = *px0++;
-      x1 = *px1++;
-
-      /* Perform the multiply-accumulate */
-      acc0 += x0 * c0;
-      acc1 += x1 * c0;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Advance the state pointer by the decimation factor       
-     * to process the next group of decimation factor number samples */
-    pState = pState + S->M * 2;
-
-    /* Store filter output, smlad returns the values in 2.14 format */
-    /* so downsacle by 15 to get output in 1.15 */
-
-    *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
-    *pDst++ = (q15_t) (__SSAT((acc1 >> 15), 16));
-
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  while(blkCntN3 > 0u)
-  {
-    /* Copy decimation factor number of new input samples into the state buffer */
-    i = S->M;
-
-    do
-    {
-      *pStateCurnt++ = *pSrc++;
-
-    } while(--i);
-
-    /*Set sum to zero */
-    sum0 = 0;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = pCoeffs;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    /* Loop over the number of taps.  Unroll by a factor of 4.       
-     ** Repeat until we've computed numTaps-4 coefficients. */
-    while(tapCnt > 0u)
-    {
-      /* Read the Read b[numTaps-1] coefficients */
-      c0 = *pb++;
-
-      /* Read x[n-numTaps-1] and sample */
-      x0 = *px++;
-
-      /* Perform the multiply-accumulate */
-      sum0 += x0 * c0;
-
-      /* Read the b[numTaps-2] coefficient */
-      c0 = *pb++;
-
-      /* Read x[n-numTaps-2] and  sample */
-      x0 = *px++;
-
-      /* Perform the multiply-accumulate */
-      sum0 += x0 * c0;
-
-      /* Read the b[numTaps-3]  coefficients */
-      c0 = *pb++;
-
-      /* Read x[n-numTaps-3] sample */
-      x0 = *px++;
-
-      /* Perform the multiply-accumulate */
-      sum0 += x0 * c0;
-
-      /* Read the b[numTaps-4] coefficient */
-      c0 = *pb++;
-
-      /* Read x[n-numTaps-4] sample */
-      x0 = *px++;
-
-      /* Perform the multiply-accumulate */
-      sum0 += x0 * c0;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Read coefficients */
-      c0 = *pb++;
-
-      /* Fetch 1 state variable */
-      x0 = *px++;
-
-      /* Perform the multiply-accumulate */
-      sum0 += x0 * c0;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Advance the state pointer by the decimation factor       
-     * to process the next group of decimation factor number samples */
-    pState = pState + S->M;
-
-    /* Store filter output, smlad returns the values in 2.14 format */
-    /* so downsacle by 15 to get output in 1.15 */
-    *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16));
-
-    /* Decrement the loop counter */
-    blkCntN3--;
-  }
-
-  /* Processing is complete.       
-   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.       
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  i = (numTaps - 1u) >> 2u;
-
-  /* copy data */
-  while(i > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-
-  i = (numTaps - 1u) % 0x04u;
-
-  /* copy data */
-  while(i > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-}
-
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-/**    
- * @} end of FIR_decimate group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_fast_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_fast_q31.c
deleted file mode 100644
index a43fd0b4c..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_fast_q31.c
+++ /dev/null
@@ -1,343 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_fir_decimate_fast_q31.c    
-*    
-* Description:	Fast Q31 FIR Decimator.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_decimate    
- * @{    
- */
-
-/**    
- * @brief Processing function for the Q31 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4.    
- * @param[in] *S points to an instance of the Q31 FIR decimator structure.    
- * @param[in] *pSrc points to the block of input data.    
- * @param[out] *pDst points to the block of output data    
- * @param[in] blockSize number of input samples to process per call.    
- * @return none    
- *    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * This function is optimized for speed at the expense of fixed-point precision and overflow protection.    
- * The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format.    
- * These intermediate results are added to a 2.30 accumulator.    
- * Finally, the accumulator is saturated and converted to a 1.31 result.    
- * The fast version has the same overflow behavior as the standard version and provides less precision since it discards the low 32 bits of each multiplication result.    
- * In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits (where log2 is read as log to the base 2).    
- *    
- * \par    
- * Refer to the function arm_fir_decimate_q31() for a slower implementation of this function which uses a 64-bit accumulator to provide higher precision.    
- * Both the slow and the fast versions use the same instance structure.    
- * Use the function arm_fir_decimate_init_q31() to initialize the filter structure.    
- */
-
-void arm_fir_decimate_fast_q31(
-  arm_fir_decimate_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize)
-{
-  q31_t *pState = S->pState;                     /* State pointer */
-  q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q31_t *pStateCurnt;                            /* Points to the current sample of the state */
-  q31_t x0, c0;                                  /* Temporary variables to hold state and coefficient values */
-  q31_t *px;                                     /* Temporary pointers for state buffer */
-  q31_t *pb;                                     /* Temporary pointers for coefficient buffer */
-  q31_t sum0;                                    /* Accumulator */
-  uint32_t numTaps = S->numTaps;                 /* Number of taps */
-  uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M;  /* Loop counters */
-  uint32_t blkCntN2;
-  q31_t x1;
-  q31_t acc0, acc1;
-  q31_t *px0, *px1;
-
-  /* S->pState buffer contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = S->pState + (numTaps - 1u);
-
-  /* Total number of output samples to be computed */
-
-  blkCnt = outBlockSize / 2;
-  blkCntN2 = outBlockSize - (2 * blkCnt);
-
-  while(blkCnt > 0u)
-  {
-    /* Copy decimation factor number of new input samples into the state buffer */
-    i = 2 * S->M;
-
-    do
-    {
-      *pStateCurnt++ = *pSrc++;
-
-    } while(--i);
-
-    /* Set accumulator to zero */
-    acc0 = 0;
-    acc1 = 0;
-
-    /* Initialize state pointer */
-    px0 = pState;
-    px1 = pState + S->M;
-
-    /* Initialize coeff pointer */
-    pb = pCoeffs;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    /* Loop over the number of taps.  Unroll by a factor of 4.       
-     ** Repeat until we've computed numTaps-4 coefficients. */
-    while(tapCnt > 0u)
-    {
-      /* Read the b[numTaps-1] coefficient */
-      c0 = *(pb);
-
-      /* Read x[n-numTaps-1] for sample 0 sample 1 */
-      x0 = *(px0);
-      x1 = *(px1);
-
-      /* Perform the multiply-accumulate */
-      acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
-      acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
-
-      /* Read the b[numTaps-2] coefficient */
-      c0 = *(pb + 1u);
-
-      /* Read x[n-numTaps-2]  for sample 0 sample 1  */
-      x0 = *(px0 + 1u);
-      x1 = *(px1 + 1u);
-
-      /* Perform the multiply-accumulate */
-      acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
-      acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
-
-      /* Read the b[numTaps-3] coefficient */
-      c0 = *(pb + 2u);
-
-      /* Read x[n-numTaps-3]  for sample 0 sample 1 */
-      x0 = *(px0 + 2u);
-      x1 = *(px1 + 2u);
-      pb += 4u;
-
-      /* Perform the multiply-accumulate */
-      acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
-      acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
-
-      /* Read the b[numTaps-4] coefficient */
-      c0 = *(pb - 1u);
-
-      /* Read x[n-numTaps-4] for sample 0 sample 1 */
-      x0 = *(px0 + 3u);
-      x1 = *(px1 + 3u);
-
-
-      /* Perform the multiply-accumulate */
-      acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
-      acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
-
-      /* update state pointers */
-      px0 += 4u;
-      px1 += 4u;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Read coefficients */
-      c0 = *(pb++);
-
-      /* Fetch 1 state variable */
-      x0 = *(px0++);
-      x1 = *(px1++);
-
-      /* Perform the multiply-accumulate */
-      acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
-      acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Advance the state pointer by the decimation factor       
-     * to process the next group of decimation factor number samples */
-    pState = pState + S->M * 2;
-
-    /* The result is in the accumulator, store in the destination buffer. */
-    *pDst++ = (q31_t) (acc0 << 1);
-    *pDst++ = (q31_t) (acc1 << 1);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  while(blkCntN2 > 0u)
-  {
-    /* Copy decimation factor number of new input samples into the state buffer */
-    i = S->M;
-
-    do
-    {
-      *pStateCurnt++ = *pSrc++;
-
-    } while(--i);
-
-    /* Set accumulator to zero */
-    sum0 = 0;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = pCoeffs;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    /* Loop over the number of taps.  Unroll by a factor of 4.       
-     ** Repeat until we've computed numTaps-4 coefficients. */
-    while(tapCnt > 0u)
-    {
-      /* Read the b[numTaps-1] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-1] sample */
-      x0 = *(px++);
-
-      /* Perform the multiply-accumulate */
-      sum0 = (q31_t) ((((q63_t) sum0 << 32) + ((q63_t) x0 * c0)) >> 32);
-
-      /* Read the b[numTaps-2] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-2] sample */
-      x0 = *(px++);
-
-      /* Perform the multiply-accumulate */
-      sum0 = (q31_t) ((((q63_t) sum0 << 32) + ((q63_t) x0 * c0)) >> 32);
-
-      /* Read the b[numTaps-3] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-3] sample */
-      x0 = *(px++);
-
-      /* Perform the multiply-accumulate */
-      sum0 = (q31_t) ((((q63_t) sum0 << 32) + ((q63_t) x0 * c0)) >> 32);
-
-      /* Read the b[numTaps-4] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-4] sample */
-      x0 = *(px++);
-
-      /* Perform the multiply-accumulate */
-      sum0 = (q31_t) ((((q63_t) sum0 << 32) + ((q63_t) x0 * c0)) >> 32);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Read coefficients */
-      c0 = *(pb++);
-
-      /* Fetch 1 state variable */
-      x0 = *(px++);
-
-      /* Perform the multiply-accumulate */
-      sum0 = (q31_t) ((((q63_t) sum0 << 32) + ((q63_t) x0 * c0)) >> 32);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Advance the state pointer by the decimation factor       
-     * to process the next group of decimation factor number samples */
-    pState = pState + S->M;
-
-    /* The result is in the accumulator, store in the destination buffer. */
-    *pDst++ = (q31_t) (sum0 << 1);
-
-    /* Decrement the loop counter */
-    blkCntN2--;
-  }
-
-  /* Processing is complete.       
-   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.       
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  i = (numTaps - 1u) >> 2u;
-
-  /* copy data */
-  while(i > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-
-  i = (numTaps - 1u) % 0x04u;
-
-  /* copy data */
-  while(i > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-}
-
-/**    
- * @} end of FIR_decimate group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_init_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_init_f32.c
deleted file mode 100644
index b655a6be6..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_init_f32.c
+++ /dev/null
@@ -1,112 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_fir_decimate_init_f32.c    
-*    
-* Description:  Floating-point FIR Decimator initialization function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_decimate    
- * @{    
- */
-
-/**    
- * @brief  Initialization function for the floating-point FIR decimator.    
- * @param[in,out] *S points to an instance of the floating-point FIR decimator structure.    
- * @param[in] numTaps  number of coefficients in the filter.    
- * @param[in] M  decimation factor.    
- * @param[in] *pCoeffs points to the filter coefficients.    
- * @param[in] *pState points to the state buffer.    
- * @param[in] blockSize number of input samples to process per call.    
- * @return    The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_LENGTH_ERROR if    
- * blockSize is not a multiple of M.    
- *    
- * Description:    
- * \par    
- * pCoeffs points to the array of filter coefficients stored in time reversed order:    
- * 
    
- *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
- * 
    
- * \par    
- * pState points to the array of state variables.    
- * pState is of length numTaps+blockSize-1 words where blockSize is the number of input samples passed to arm_fir_decimate_f32().    
- * M is the decimation factor.    
- */
-
-arm_status arm_fir_decimate_init_f32(
-  arm_fir_decimate_instance_f32 * S,
-  uint16_t numTaps,
-  uint8_t M,
-  float32_t * pCoeffs,
-  float32_t * pState,
-  uint32_t blockSize)
-{
-  arm_status status;
-
-  /* The size of the input block must be a multiple of the decimation factor */
-  if((blockSize % M) != 0u)
-  {
-    /* Set status as ARM_MATH_LENGTH_ERROR */
-    status = ARM_MATH_LENGTH_ERROR;
-  }
-  else
-  {
-    /* Assign filter taps */
-    S->numTaps = numTaps;
-
-    /* Assign coefficient pointer */
-    S->pCoeffs = pCoeffs;
-
-    /* Clear state buffer and size is always (blockSize + numTaps - 1) */
-    memset(pState, 0, (numTaps + (blockSize - 1u)) * sizeof(float32_t));
-
-    /* Assign state pointer */
-    S->pState = pState;
-
-    /* Assign Decimation Factor */
-    S->M = M;
-
-    status = ARM_MATH_SUCCESS;
-  }
-
-  return (status);
-
-}
-
-/**    
- * @} end of FIR_decimate group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_init_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_init_q15.c
deleted file mode 100644
index 1a1fee8a2..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_init_q15.c
+++ /dev/null
@@ -1,114 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_fir_decimate_init_q15.c    
-*    
-* Description:  Initialization function for the Q15 FIR Decimator.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* ------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_decimate    
- * @{    
- */
-
-/**    
- * @brief  Initialization function for the Q15 FIR decimator.    
- * @param[in,out] *S points to an instance of the Q15 FIR decimator structure.    
- * @param[in] numTaps  number of coefficients in the filter.    
- * @param[in] M  decimation factor.    
- * @param[in] *pCoeffs points to the filter coefficients.    
- * @param[in] *pState points to the state buffer.    
- * @param[in] blockSize number of input samples to process per call.    
- * @return    The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_LENGTH_ERROR if    
- * blockSize is not a multiple of M.    
- *    
- * Description:    
- * \par    
- * pCoeffs points to the array of filter coefficients stored in time reversed order:    
- * 
    
- *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
- * 
    
- * \par    
- * pState points to the array of state variables.    
- * pState is of length numTaps+blockSize-1 words where blockSize is the number of input samples    
- * to the call arm_fir_decimate_q15().    
- * M is the decimation factor.    
- */
-
-arm_status arm_fir_decimate_init_q15(
-  arm_fir_decimate_instance_q15 * S,
-  uint16_t numTaps,
-  uint8_t M,
-  q15_t * pCoeffs,
-  q15_t * pState,
-  uint32_t blockSize)
-{
-
-  arm_status status;
-
-  /* The size of the input block must be a multiple of the decimation factor */
-  if((blockSize % M) != 0u)
-  {
-    /* Set status as ARM_MATH_LENGTH_ERROR */
-    status = ARM_MATH_LENGTH_ERROR;
-  }
-  else
-  {
-    /* Assign filter taps */
-    S->numTaps = numTaps;
-
-    /* Assign coefficient pointer */
-    S->pCoeffs = pCoeffs;
-
-    /* Clear the state buffer.  The size of buffer is always (blockSize + numTaps - 1) */
-    memset(pState, 0, (numTaps + (blockSize - 1u)) * sizeof(q15_t));
-
-    /* Assign state pointer */
-    S->pState = pState;
-
-    /* Assign Decimation factor */
-    S->M = M;
-
-    status = ARM_MATH_SUCCESS;
-  }
-
-  return (status);
-
-}
-
-/**    
- * @} end of FIR_decimate group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_init_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_init_q31.c
deleted file mode 100644
index e2ac8165e..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_init_q31.c
+++ /dev/null
@@ -1,112 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_fir_decimate_init_q31.c    
-*    
-* Description:  Initialization function for Q31 FIR Decimation filter.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* ------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_decimate    
- * @{    
- */
-
-/**    
- * @brief  Initialization function for the Q31 FIR decimator.    
- * @param[in,out] *S points to an instance of the Q31 FIR decimator structure.    
- * @param[in] numTaps  number of coefficients in the filter.    
- * @param[in] M  decimation factor.    
- * @param[in] *pCoeffs points to the filter coefficients.    
- * @param[in] *pState points to the state buffer.    
- * @param[in] blockSize number of input samples to process per call.    
- * @return    The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_LENGTH_ERROR if    
- * blockSize is not a multiple of M.    
- *    
- * Description:    
- * \par    
- * pCoeffs points to the array of filter coefficients stored in time reversed order:    
- * 
    
- *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
- * 
    
- * \par    
- * pState points to the array of state variables.    
- * pState is of length numTaps+blockSize-1 words where blockSize is the number of input samples passed to arm_fir_decimate_q31().    
- * M is the decimation factor.    
- */
-
-arm_status arm_fir_decimate_init_q31(
-  arm_fir_decimate_instance_q31 * S,
-  uint16_t numTaps,
-  uint8_t M,
-  q31_t * pCoeffs,
-  q31_t * pState,
-  uint32_t blockSize)
-{
-  arm_status status;
-
-  /* The size of the input block must be a multiple of the decimation factor */
-  if((blockSize % M) != 0u)
-  {
-    /* Set status as ARM_MATH_LENGTH_ERROR */
-    status = ARM_MATH_LENGTH_ERROR;
-  }
-  else
-  {
-    /* Assign filter taps */
-    S->numTaps = numTaps;
-
-    /* Assign coefficient pointer */
-    S->pCoeffs = pCoeffs;
-
-    /* Clear the state buffer.  The size is always (blockSize + numTaps - 1) */
-    memset(pState, 0, (numTaps + (blockSize - 1)) * sizeof(q31_t));
-
-    /* Assign state pointer */
-    S->pState = pState;
-
-    /* Assign Decimation factor */
-    S->M = M;
-
-    status = ARM_MATH_SUCCESS;
-  }
-
-  return (status);
-
-}
-
-/**    
- * @} end of FIR_decimate group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_q15.c
deleted file mode 100644
index 28b5f13dd..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_q15.c
+++ /dev/null
@@ -1,691 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_fir_decimate_q15.c    
-*    
-* Description:	Q15 FIR Decimator.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_decimate    
- * @{    
- */
-
-/**    
- * @brief Processing function for the Q15 FIR decimator.    
- * @param[in] *S points to an instance of the Q15 FIR decimator structure.    
- * @param[in] *pSrc points to the block of input data.    
- * @param[out] *pDst points to the location where the output result is written.    
- * @param[in] blockSize number of input samples to process per call.    
- * @return none.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function is implemented using a 64-bit internal accumulator.    
- * Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result.    
- * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.    
- * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.    
- * After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits.    
- * Lastly, the accumulator is saturated to yield a result in 1.15 format.    
- *    
- * \par    
- * Refer to the function arm_fir_decimate_fast_q15() for a faster but less precise implementation of this function for Cortex-M3 and Cortex-M4.    
- */
-
-#ifndef ARM_MATH_CM0
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-void arm_fir_decimate_q15(
-  const arm_fir_decimate_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-  q15_t *pState = S->pState;                     /* State pointer */
-  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q15_t *pStateCurnt;                            /* Points to the current sample of the state */
-  q15_t *px;                                     /* Temporary pointer for state buffer */
-  q15_t *pb;                                     /* Temporary pointer coefficient buffer */
-  q31_t x0, x1, c0, c1;                          /* Temporary variables to hold state and coefficient values */
-  q63_t sum0;                                    /* Accumulators */
-  q63_t acc0, acc1;
-  q15_t *px0, *px1;
-  uint32_t blkCntN3;
-  uint32_t numTaps = S->numTaps;                 /* Number of taps */
-  uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M;  /* Loop counters */
-
-
-  /* S->pState buffer contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = S->pState + (numTaps - 1u);
-
-
-  /* Total number of output samples to be computed */
-  blkCnt = outBlockSize / 2;
-  blkCntN3 = outBlockSize - (2 * blkCnt);
-
-
-  while(blkCnt > 0u)
-  {
-    /* Copy decimation factor number of new input samples into the state buffer */
-    i = 2 * S->M;
-
-    do
-    {
-      *pStateCurnt++ = *pSrc++;
-
-    } while(--i);
-
-    /* Set accumulator to zero */
-    acc0 = 0;
-    acc1 = 0;
-
-    /* Initialize state pointer */
-    px0 = pState;
-
-    px1 = pState + S->M;
-
-
-    /* Initialize coeff pointer */
-    pb = pCoeffs;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    /* Loop over the number of taps.  Unroll by a factor of 4.       
-     ** Repeat until we've computed numTaps-4 coefficients. */
-    while(tapCnt > 0u)
-    {
-      /* Read the Read b[numTaps-1] and b[numTaps-2]  coefficients */
-      c0 = *__SIMD32(pb)++;
-
-      /* Read x[n-numTaps-1] and x[n-numTaps-2]sample */
-      x0 = *__SIMD32(px0)++;
-
-      x1 = *__SIMD32(px1)++;
-
-      /* Perform the multiply-accumulate */
-      acc0 = __SMLALD(x0, c0, acc0);
-
-      acc1 = __SMLALD(x1, c0, acc1);
-
-      /* Read the b[numTaps-3] and b[numTaps-4] coefficient */
-      c0 = *__SIMD32(pb)++;
-
-      /* Read x[n-numTaps-2] and x[n-numTaps-3] sample */
-      x0 = *__SIMD32(px0)++;
-
-      x1 = *__SIMD32(px1)++;
-
-      /* Perform the multiply-accumulate */
-      acc0 = __SMLALD(x0, c0, acc0);
-
-      acc1 = __SMLALD(x1, c0, acc1);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Read coefficients */
-      c0 = *pb++;
-
-      /* Fetch 1 state variable */
-      x0 = *px0++;
-
-      x1 = *px1++;
-
-      /* Perform the multiply-accumulate */
-      acc0 = __SMLALD(x0, c0, acc0);
-      acc1 = __SMLALD(x1, c0, acc1);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Advance the state pointer by the decimation factor       
-     * to process the next group of decimation factor number samples */
-    pState = pState + S->M * 2;
-
-    /* Store filter output, smlad returns the values in 2.14 format */
-    /* so downsacle by 15 to get output in 1.15 */
-    *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
-    *pDst++ = (q15_t) (__SSAT((acc1 >> 15), 16));
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-
-
-  while(blkCntN3 > 0u)
-  {
-    /* Copy decimation factor number of new input samples into the state buffer */
-    i = S->M;
-
-    do
-    {
-      *pStateCurnt++ = *pSrc++;
-
-    } while(--i);
-
-    /*Set sum to zero */
-    sum0 = 0;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = pCoeffs;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    /* Loop over the number of taps.  Unroll by a factor of 4.       
-     ** Repeat until we've computed numTaps-4 coefficients. */
-    while(tapCnt > 0u)
-    {
-      /* Read the Read b[numTaps-1] and b[numTaps-2]  coefficients */
-      c0 = *__SIMD32(pb)++;
-
-      /* Read x[n-numTaps-1] and x[n-numTaps-2]sample */
-      x0 = *__SIMD32(px)++;
-
-      /* Read the b[numTaps-3] and b[numTaps-4] coefficient */
-      c1 = *__SIMD32(pb)++;
-
-      /* Perform the multiply-accumulate */
-      sum0 = __SMLALD(x0, c0, sum0);
-
-      /* Read x[n-numTaps-2] and x[n-numTaps-3] sample */
-      x0 = *__SIMD32(px)++;
-
-      /* Perform the multiply-accumulate */
-      sum0 = __SMLALD(x0, c1, sum0);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Read coefficients */
-      c0 = *pb++;
-
-      /* Fetch 1 state variable */
-      x0 = *px++;
-
-      /* Perform the multiply-accumulate */
-      sum0 = __SMLALD(x0, c0, sum0);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Advance the state pointer by the decimation factor       
-     * to process the next group of decimation factor number samples */
-    pState = pState + S->M;
-
-    /* Store filter output, smlad returns the values in 2.14 format */
-    /* so downsacle by 15 to get output in 1.15 */
-    *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16));
-
-    /* Decrement the loop counter */
-    blkCntN3--;
-  }
-
-  /* Processing is complete.       
-   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.       
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  i = (numTaps - 1u) >> 2u;
-
-  /* copy data */
-  while(i > 0u)
-  {
-    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
-    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-
-  i = (numTaps - 1u) % 0x04u;
-
-  /* copy data */
-  while(i > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-}
-
-#else
-
-
-void arm_fir_decimate_q15(
-  const arm_fir_decimate_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-  q15_t *pState = S->pState;                     /* State pointer */
-  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q15_t *pStateCurnt;                            /* Points to the current sample of the state */
-  q15_t *px;                                     /* Temporary pointer for state buffer */
-  q15_t *pb;                                     /* Temporary pointer coefficient buffer */
-  q15_t x0, x1, c0;                              /* Temporary variables to hold state and coefficient values */
-  q63_t sum0;                                    /* Accumulators */
-  q63_t acc0, acc1;
-  q15_t *px0, *px1;
-  uint32_t blkCntN3;
-  uint32_t numTaps = S->numTaps;                 /* Number of taps */
-  uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M;  /* Loop counters */
-
-
-  /* S->pState buffer contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = S->pState + (numTaps - 1u);
-
-
-  /* Total number of output samples to be computed */
-  blkCnt = outBlockSize / 2;
-  blkCntN3 = outBlockSize - (2 * blkCnt);
-
-  while(blkCnt > 0u)
-  {
-    /* Copy decimation factor number of new input samples into the state buffer */
-    i = 2 * S->M;
-
-    do
-    {
-      *pStateCurnt++ = *pSrc++;
-
-    } while(--i);
-
-    /* Set accumulator to zero */
-    acc0 = 0;
-    acc1 = 0;
-
-    /* Initialize state pointer */
-    px0 = pState;
-
-    px1 = pState + S->M;
-
-
-    /* Initialize coeff pointer */
-    pb = pCoeffs;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    /* Loop over the number of taps.  Unroll by a factor of 4.       
-     ** Repeat until we've computed numTaps-4 coefficients. */
-    while(tapCnt > 0u)
-    {
-      /* Read the Read b[numTaps-1] coefficients */
-      c0 = *pb++;
-
-      /* Read x[n-numTaps-1] for sample 0 and for sample 1 */
-      x0 = *px0++;
-      x1 = *px1++;
-
-      /* Perform the multiply-accumulate */
-      acc0 += x0 * c0;
-      acc1 += x1 * c0;
-
-      /* Read the b[numTaps-2] coefficient */
-      c0 = *pb++;
-
-      /* Read x[n-numTaps-2] for sample 0 and sample 1 */
-      x0 = *px0++;
-      x1 = *px1++;
-
-      /* Perform the multiply-accumulate */
-      acc0 += x0 * c0;
-      acc1 += x1 * c0;
-
-      /* Read the b[numTaps-3] coefficients */
-      c0 = *pb++;
-
-      /* Read x[n-numTaps-3] for sample 0 and sample 1 */
-      x0 = *px0++;
-      x1 = *px1++;
-
-      /* Perform the multiply-accumulate */
-      acc0 += x0 * c0;
-      acc1 += x1 * c0;
-
-      /* Read the b[numTaps-4] coefficient */
-      c0 = *pb++;
-
-      /* Read x[n-numTaps-4] for sample 0 and sample 1 */
-      x0 = *px0++;
-      x1 = *px1++;
-
-      /* Perform the multiply-accumulate */
-      acc0 += x0 * c0;
-      acc1 += x1 * c0;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Read coefficients */
-      c0 = *pb++;
-
-      /* Fetch 1 state variable */
-      x0 = *px0++;
-      x1 = *px1++;
-
-      /* Perform the multiply-accumulate */
-      acc0 += x0 * c0;
-      acc1 += x1 * c0;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Advance the state pointer by the decimation factor       
-     * to process the next group of decimation factor number samples */
-    pState = pState + S->M * 2;
-
-    /* Store filter output, smlad returns the values in 2.14 format */
-    /* so downsacle by 15 to get output in 1.15 */
-
-    *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
-    *pDst++ = (q15_t) (__SSAT((acc1 >> 15), 16));
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  while(blkCntN3 > 0u)
-  {
-    /* Copy decimation factor number of new input samples into the state buffer */
-    i = S->M;
-
-    do
-    {
-      *pStateCurnt++ = *pSrc++;
-
-    } while(--i);
-
-    /*Set sum to zero */
-    sum0 = 0;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = pCoeffs;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    /* Loop over the number of taps.  Unroll by a factor of 4.       
-     ** Repeat until we've computed numTaps-4 coefficients. */
-    while(tapCnt > 0u)
-    {
-      /* Read the Read b[numTaps-1] coefficients */
-      c0 = *pb++;
-
-      /* Read x[n-numTaps-1] and sample */
-      x0 = *px++;
-
-      /* Perform the multiply-accumulate */
-      sum0 += x0 * c0;
-
-      /* Read the b[numTaps-2] coefficient */
-      c0 = *pb++;
-
-      /* Read x[n-numTaps-2] and  sample */
-      x0 = *px++;
-
-      /* Perform the multiply-accumulate */
-      sum0 += x0 * c0;
-
-      /* Read the b[numTaps-3]  coefficients */
-      c0 = *pb++;
-
-      /* Read x[n-numTaps-3] sample */
-      x0 = *px++;
-
-      /* Perform the multiply-accumulate */
-      sum0 += x0 * c0;
-
-      /* Read the b[numTaps-4] coefficient */
-      c0 = *pb++;
-
-      /* Read x[n-numTaps-4] sample */
-      x0 = *px++;
-
-      /* Perform the multiply-accumulate */
-      sum0 += x0 * c0;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Read coefficients */
-      c0 = *pb++;
-
-      /* Fetch 1 state variable */
-      x0 = *px++;
-
-      /* Perform the multiply-accumulate */
-      sum0 += x0 * c0;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Advance the state pointer by the decimation factor       
-     * to process the next group of decimation factor number samples */
-    pState = pState + S->M;
-
-    /* Store filter output, smlad returns the values in 2.14 format */
-    /* so downsacle by 15 to get output in 1.15 */
-    *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16));
-
-    /* Decrement the loop counter */
-    blkCntN3--;
-  }
-
-  /* Processing is complete.       
-   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.       
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  i = (numTaps - 1u) >> 2u;
-
-  /* copy data */
-  while(i > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-
-  i = (numTaps - 1u) % 0x04u;
-
-  /* copy data */
-  while(i > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-}
-
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-#else
-
-
-void arm_fir_decimate_q15(
-  const arm_fir_decimate_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-  q15_t *pState = S->pState;                     /* State pointer */
-  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q15_t *pStateCurnt;                            /* Points to the current sample of the state */
-  q15_t *px;                                     /* Temporary pointer for state buffer */
-  q15_t *pb;                                     /* Temporary pointer coefficient buffer */
-  q31_t x0, c0;                                  /* Temporary variables to hold state and coefficient values */
-  q63_t sum0;                                    /* Accumulators */
-  uint32_t numTaps = S->numTaps;                 /* Number of taps */
-  uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M;  /* Loop counters */
-
-
-
-/* Run the below code for Cortex-M0 */
-
-  /* S->pState buffer contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = S->pState + (numTaps - 1u);
-
-  /* Total number of output samples to be computed */
-  blkCnt = outBlockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* Copy decimation factor number of new input samples into the state buffer */
-    i = S->M;
-
-    do
-    {
-      *pStateCurnt++ = *pSrc++;
-
-    } while(--i);
-
-    /*Set sum to zero */
-    sum0 = 0;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = pCoeffs;
-
-    tapCnt = numTaps;
-
-    while(tapCnt > 0u)
-    {
-      /* Read coefficients */
-      c0 = *pb++;
-
-      /* Fetch 1 state variable */
-      x0 = *px++;
-
-      /* Perform the multiply-accumulate */
-      sum0 += (q31_t) x0 *c0;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Advance the state pointer by the decimation factor           
-     * to process the next group of decimation factor number samples */
-    pState = pState + S->M;
-
-    /*Store filter output , smlad will return the values in 2.14 format */
-    /* so downsacle by 15 to get output in 1.15 */
-    *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16));
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Processing is complete.         
-   ** Now copy the last numTaps - 1 samples to the start of the state buffer.       
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  i = numTaps - 1u;
-
-  /* copy data */
-  while(i > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-
-
-}
-#endif /*   #ifndef ARM_MATH_CM0 */
-
-
-/**    
- * @} end of FIR_decimate group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_q31.c
deleted file mode 100644
index 59c0fed7f..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_q31.c
+++ /dev/null
@@ -1,306 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_fir_decimate_q31.c    
-*    
-* Description:	Q31 FIR Decimator.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_decimate    
- * @{    
- */
-
-/**    
- * @brief Processing function for the Q31 FIR decimator.    
- * @param[in] *S points to an instance of the Q31 FIR decimator structure.    
- * @param[in] *pSrc points to the block of input data.    
- * @param[out] *pDst points to the block of output data    
- * @param[in] blockSize number of input samples to process per call.    
- * @return none    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function is implemented using an internal 64-bit accumulator.    
- * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.    
- * Thus, if the accumulator result overflows it wraps around rather than clip.    
- * In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits (where log2 is read as log to the base 2).    
- * After all multiply-accumulates are performed, the 2.62 accumulator is truncated to 1.32 format and then saturated to 1.31 format.    
- *    
- * \par    
- * Refer to the function arm_fir_decimate_fast_q31() for a faster but less precise implementation of this function for Cortex-M3 and Cortex-M4.    
- */
-
-void arm_fir_decimate_q31(
-  const arm_fir_decimate_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize)
-{
-  q31_t *pState = S->pState;                     /* State pointer */
-  q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q31_t *pStateCurnt;                            /* Points to the current sample of the state */
-  q31_t x0, c0;                                  /* Temporary variables to hold state and coefficient values */
-  q31_t *px;                                     /* Temporary pointers for state buffer */
-  q31_t *pb;                                     /* Temporary pointers for coefficient buffer */
-  q63_t sum0;                                    /* Accumulator */
-  uint32_t numTaps = S->numTaps;                 /* Number of taps */
-  uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M;  /* Loop counters */
-
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /* S->pState buffer contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = S->pState + (numTaps - 1u);
-
-  /* Total number of output samples to be computed */
-  blkCnt = outBlockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* Copy decimation factor number of new input samples into the state buffer */
-    i = S->M;
-
-    do
-    {
-      *pStateCurnt++ = *pSrc++;
-
-    } while(--i);
-
-    /* Set accumulator to zero */
-    sum0 = 0;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = pCoeffs;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    /* Loop over the number of taps.  Unroll by a factor of 4.    
-     ** Repeat until we've computed numTaps-4 coefficients. */
-    while(tapCnt > 0u)
-    {
-      /* Read the b[numTaps-1] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-1] sample */
-      x0 = *(px++);
-
-      /* Perform the multiply-accumulate */
-      sum0 += (q63_t) x0 *c0;
-
-      /* Read the b[numTaps-2] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-2] sample */
-      x0 = *(px++);
-
-      /* Perform the multiply-accumulate */
-      sum0 += (q63_t) x0 *c0;
-
-      /* Read the b[numTaps-3] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-3] sample */
-      x0 = *(px++);
-
-      /* Perform the multiply-accumulate */
-      sum0 += (q63_t) x0 *c0;
-
-      /* Read the b[numTaps-4] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-4] sample */
-      x0 = *(px++);
-
-      /* Perform the multiply-accumulate */
-      sum0 += (q63_t) x0 *c0;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Read coefficients */
-      c0 = *(pb++);
-
-      /* Fetch 1 state variable */
-      x0 = *(px++);
-
-      /* Perform the multiply-accumulate */
-      sum0 += (q63_t) x0 *c0;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Advance the state pointer by the decimation factor    
-     * to process the next group of decimation factor number samples */
-    pState = pState + S->M;
-
-    /* The result is in the accumulator, store in the destination buffer. */
-    *pDst++ = (q31_t) (sum0 >> 31);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Processing is complete.    
-   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.    
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  i = (numTaps - 1u) >> 2u;
-
-  /* copy data */
-  while(i > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-
-  i = (numTaps - 1u) % 0x04u;
-
-  /* copy data */
-  while(i > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-
-#else
-
-/* Run the below code for Cortex-M0 */
-
-  /* S->pState buffer contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = S->pState + (numTaps - 1u);
-
-  /* Total number of output samples to be computed */
-  blkCnt = outBlockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* Copy decimation factor number of new input samples into the state buffer */
-    i = S->M;
-
-    do
-    {
-      *pStateCurnt++ = *pSrc++;
-
-    } while(--i);
-
-    /* Set accumulator to zero */
-    sum0 = 0;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = pCoeffs;
-
-    tapCnt = numTaps;
-
-    while(tapCnt > 0u)
-    {
-      /* Read coefficients */
-      c0 = *pb++;
-
-      /* Fetch 1 state variable */
-      x0 = *px++;
-
-      /* Perform the multiply-accumulate */
-      sum0 += (q63_t) x0 *c0;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Advance the state pointer by the decimation factor           
-     * to process the next group of decimation factor number samples */
-    pState = pState + S->M;
-
-    /* The result is in the accumulator, store in the destination buffer. */
-    *pDst++ = (q31_t) (sum0 >> 31);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Processing is complete.         
-   ** Now copy the last numTaps - 1 samples to the start of the state buffer.       
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  i = numTaps - 1u;
-
-  /* copy data */
-  while(i > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0 */
-
-}
-
-/**    
- * @} end of FIR_decimate group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_f32.c
deleted file mode 100644
index 7f951f86b..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_f32.c
+++ /dev/null
@@ -1,554 +0,0 @@
-/* ----------------------------------------------------------------------  
-* Copyright (C) 2010 ARM Limited. All rights reserved.  
-*  
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*  
-* Project: 	    CMSIS DSP Library  
-* Title:	    arm_fir_f32.c  
-*  
-* Description:	Floating-point FIR filter processing function.  
-*  
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.2 2010/11/11  
-*    Documentation updated.   
-*  
-* Version 1.0.1 2010/10/05   
-*    Production release and review comments incorporated.  
-*  
-* Version 1.0.0 2010/09/20   
-*    Production release and review comments incorporated.  
-*  
-* Version 0.0.5  2010/04/26   
-* 	 incorporated review comments and updated with latest CMSIS layer  
-*  
-* Version 0.0.3  2010/03/10   
-*    Initial version  
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**  
- * @ingroup groupFilters  
- */
-
-/**  
- * @defgroup FIR Finite Impulse Response (FIR) Filters  
- *  
- * This set of functions implements Finite Impulse Response (FIR) filters  
- * for Q7, Q15, Q31, and floating-point data types.  Fast versions of Q15 and Q31 are also provided.  
- * The functions operate on blocks of input and output data and each call to the function processes  
- * blockSize samples through the filter.  pSrc and  
- * pDst points to input and output arrays containing blockSize values.  
- *  
- * \par Algorithm:  
- * The FIR filter algorithm is based upon a sequence of multiply-accumulate (MAC) operations.  
- * Each filter coefficient b[n] is multiplied by a state variable which equals a previous input sample x[n].  
- * 
  
- *    y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1]  
- * 
  
- * \par  
- * \image html FIR.gif "Finite Impulse Response filter"  
- * \par  
- * pCoeffs points to a coefficient array of size numTaps.  
- * Coefficients are stored in time reversed order.  
- * \par  
- * 
  
- *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}  
- * 
  
- * \par  
- * pState points to a state array of size numTaps + blockSize - 1.  
- * Samples in the state buffer are stored in the following order.  
- * \par  
- * 
  
- *    {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]}  
- * 
  
- * \par  
- * Note that the length of the state buffer exceeds the length of the coefficient array by blockSize-1.  
- * The increased state buffer length allows circular addressing, which is traditionally used in the FIR filters,  
- * to be avoided and yields a significant speed improvement.  
- * The state variables are updated after each block of data is processed; the coefficients are untouched.  
- * \par Instance Structure  
- * The coefficients and state variables for a filter are stored together in an instance data structure.  
- * A separate instance structure must be defined for each filter.  
- * Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.  
- * There are separate instance structure declarations for each of the 4 supported data types.  
- *  
- * \par Initialization Functions  
- * There is also an associated initialization function for each data type.  
- * The initialization function performs the following operations:  
- * - Sets the values of the internal structure fields.  
- * - Zeros out the values in the state buffer.  
- *  
- * \par  
- * Use of the initialization function is optional.  
- * However, if the initialization function is used, then the instance structure cannot be placed into a const data section.  
- * To place an instance structure into a const data section, the instance structure must be manually initialized.  
- * Set the values in the state buffer to zeros before static initialization.  
- * The code below statically initializes each of the 4 different data type filter instance structures  
- * 
  
- *arm_fir_instance_f32 S = {numTaps, pState, pCoeffs};  
- *arm_fir_instance_q31 S = {numTaps, pState, pCoeffs};  
- *arm_fir_instance_q15 S = {numTaps, pState, pCoeffs};  
- *arm_fir_instance_q7 S =  {numTaps, pState, pCoeffs};  
- * 
  
- *  
- * where numTaps is the number of filter coefficients in the filter; pState is the address of the state buffer;  
- * pCoeffs is the address of the coefficient buffer.  
- *  
- * \par Fixed-Point Behavior  
- * Care must be taken when using the fixed-point versions of the FIR filter functions.  
- * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.  
- * Refer to the function specific documentation below for usage guidelines.  
- */
-
-/**  
- * @addtogroup FIR  
- * @{  
- */
-
-/**  
- *  
- * @param[in]  *S points to an instance of the floating-point FIR filter structure.  
- * @param[in]  *pSrc points to the block of input data.  
- * @param[out] *pDst points to the block of output data.  
- * @param[in]  blockSize number of samples to process per call.  
- * @return     none.  
- *  
- */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-void arm_fir_f32(
-  const arm_fir_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize)
-{
-  float32_t *pState = S->pState;                 /* State pointer */
-  float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
-  float32_t *pStateCurnt;                        /* Points to the current sample of the state */
-  float32_t *px, *pb;                            /* Temporary pointers for state and coefficient buffers */
-  float32_t acc0, acc1, acc2, acc3, acc4, acc5, acc6, acc7;     /* Accumulators */
-  float32_t x0, x1, x2, x3, x4, x5, x6, x7, c0;  /* Temporary variables to hold state and coefficient values */
-  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
-  uint32_t i, tapCnt, blkCnt;                    /* Loop counters */
-
-  /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = &(S->pState[(numTaps - 1u)]);
-
-  /* Apply loop unrolling and compute 4 output values simultaneously.  
-   * The variables acc0 ... acc3 hold output values that are being computed:  
-   *  
-   *    acc0 =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]  
-   *    acc1 =  b[numTaps-1] * x[n-numTaps] +   b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]  
-   *    acc2 =  b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] +   b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]  
-   *    acc3 =  b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps]   +...+ b[0] * x[3]  
-   */
-  blkCnt = blockSize >> 3;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.  
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* Copy four new input samples into the state buffer */
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-
-    /* Set all accumulators to zero */
-    acc0 = 0.0f;
-    acc1 = 0.0f;
-    acc2 = 0.0f;
-    acc3 = 0.0f;
-    acc4 = 0.0f;
-    acc5 = 0.0f;
-    acc6 = 0.0f;
-    acc7 = 0.0f;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = (pCoeffs);
-
-    /* Read the first three samples from the state buffer:  x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2] */
-    x0 = *px++;
-    x1 = *px++;
-    x2 = *px++;
-    x3 = *px++;
-    x4 = *px++;
-    x5 = *px++;
-    x6 = *px++;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 3u;
-
-    /* Loop over the number of taps.  Unroll by a factor of 4.  
-     ** Repeat until we've computed numTaps-4 coefficients. */
-    while(tapCnt > 0u)
-    {
-      /* Read the b[numTaps-1] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-3] sample */
-      x7 = *(px++);
-
-      /* acc0 +=  b[numTaps-1] * x[n-numTaps] */
-      acc0 += x0 * c0;
-
-      /* acc1 +=  b[numTaps-1] * x[n-numTaps-1] */
-      acc1 += x1 * c0;
-
-      /* acc2 +=  b[numTaps-1] * x[n-numTaps-2] */
-      acc2 += x2 * c0;
-
-      /* acc3 +=  b[numTaps-1] * x[n-numTaps-3] */
-      acc3 += x3 * c0;
-
-      /* acc4 +=  b[numTaps-1] * x[n-numTaps-4] */
-      acc4 += x4 * c0;
-
-      /* acc1 +=  b[numTaps-1] * x[n-numTaps-5] */
-      acc5 += x5 * c0;
-
-      /* acc2 +=  b[numTaps-1] * x[n-numTaps-6] */
-      acc6 += x6 * c0;
-
-      /* acc3 +=  b[numTaps-1] * x[n-numTaps-7] */
-      acc7 += x7 * c0;
-
-      /* Read the b[numTaps-2] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-4] sample */
-      x0 = *(px++);
-
-      /* Perform the multiply-accumulate */
-      acc0 += x1 * c0;
-      acc1 += x2 * c0;
-      acc2 += x3 * c0;
-      acc3 += x4 * c0;
-      acc4 += x5 * c0;
-      acc5 += x6 * c0;
-      acc6 += x7 * c0;
-      acc7 += x0 * c0;
-
-      /* Read the b[numTaps-3] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-5] sample */
-      x1 = *(px++);
-
-      /* Perform the multiply-accumulates */
-      acc0 += x2 * c0;
-      acc1 += x3 * c0;
-      acc2 += x4 * c0;
-      acc3 += x5 * c0;
-      acc4 += x6 * c0;
-      acc5 += x7 * c0;
-      acc6 += x0 * c0;
-      acc7 += x1 * c0;
-
-      /* Read the b[numTaps-4] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-6] sample */
-      x2 = *(px++);
-
-      /* Perform the multiply-accumulates */
-      acc0 += x3 * c0;
-      acc1 += x4 * c0;
-      acc2 += x5 * c0;
-      acc3 += x6 * c0;
-      acc4 += x7 * c0;
-      acc5 += x0 * c0;
-      acc6 += x1 * c0;
-      acc7 += x2 * c0;
-
-      /* Read the b[numTaps-4] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-6] sample */
-      x3 = *(px++);
-
-      /* Perform the multiply-accumulates */
-      acc0 += x4 * c0;
-      acc1 += x5 * c0;
-      acc2 += x6 * c0;
-      acc3 += x7 * c0;
-      acc4 += x0 * c0;
-      acc5 += x1 * c0;
-      acc6 += x2 * c0;
-      acc7 += x3 * c0;
-
-      /* Read the b[numTaps-4] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-6] sample */
-      x4 = *(px++);
-
-      /* Perform the multiply-accumulates */
-      acc0 += x5 * c0;
-      acc1 += x6 * c0;
-      acc2 += x7 * c0;
-      acc3 += x0 * c0;
-      acc4 += x1 * c0;
-      acc5 += x2 * c0;
-      acc6 += x3 * c0;
-      acc7 += x4 * c0;
-
-      /* Read the b[numTaps-4] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-6] sample */
-      x5 = *(px++);
-
-      /* Perform the multiply-accumulates */
-      acc0 += x6 * c0;
-      acc1 += x7 * c0;
-      acc2 += x0 * c0;
-      acc3 += x1 * c0;
-      acc4 += x2 * c0;
-      acc5 += x3 * c0;
-      acc6 += x4 * c0;
-      acc7 += x5 * c0;
-
-      /* Read the b[numTaps-4] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-6] sample */
-      x6 = *(px++);
-
-      /* Perform the multiply-accumulates */
-      acc0 += x7 * c0;
-      acc1 += x0 * c0;
-      acc2 += x1 * c0;
-      acc3 += x2 * c0;
-      acc4 += x3 * c0;
-      acc5 += x4 * c0;
-      acc6 += x5 * c0;
-      acc7 += x6 * c0;
-
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x8u;
-
-    while(tapCnt > 0u)
-    {
-      /* Read coefficients */
-      c0 = *(pb++);
-
-      /* Fetch 1 state variable */
-      x7 = *(px++);
-
-      /* Perform the multiply-accumulates */
-      acc0 += x0 * c0;
-      acc1 += x1 * c0;
-      acc2 += x2 * c0;
-      acc3 += x3 * c0;
-      acc4 += x4 * c0;
-      acc5 += x5 * c0;
-      acc6 += x6 * c0;
-      acc7 += x7 * c0;
-
-      /* Reuse the present sample states for next sample */
-      x0 = x1;
-      x1 = x2;
-      x2 = x3;
-      x3 = x4;
-      x4 = x5;
-      x5 = x6;
-      x6 = x7;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Advance the state pointer by 4 to process the next group of 4 samples */
-    pState = pState + 8;
-
-    /* The results in the 4 accumulators, store in the destination buffer. */
-    *pDst++ = acc0;
-    *pDst++ = acc1;
-    *pDst++ = acc2;
-    *pDst++ = acc3;
-    *pDst++ = acc4;
-    *pDst++ = acc5;
-    *pDst++ = acc6;
-    *pDst++ = acc7;
-
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.  
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x8u;
-
-  while(blkCnt > 0u)
-  {
-    /* Copy one sample at a time into state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Set the accumulator to zero */
-    acc0 = 0.0f;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize Coefficient pointer */
-    pb = (pCoeffs);
-
-    i = numTaps;
-
-    /* Perform the multiply-accumulates */
-    do
-    {
-      acc0 += *px++ * *pb++;
-      i--;
-
-    } while(i > 0u);
-
-    /* The result is store in the destination buffer. */
-    *pDst++ = acc0;
-
-    /* Advance state pointer by 1 for the next sample */
-    pState = pState + 1;
-
-    blkCnt--;
-  }
-
-  /* Processing is complete.  
-   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.  
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  tapCnt = (numTaps - 1u) >> 2u;
-
-  /* copy data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-  /* Calculate remaining number of copies */
-  tapCnt = (numTaps - 1u) % 0x4u;
-
-  /* Copy the remaining q31_t data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-}
-
-#else
-
-void arm_fir_f32(
-  const arm_fir_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize)
-{
-  float32_t *pState = S->pState;                 /* State pointer */
-  float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
-  float32_t *pStateCurnt;                        /* Points to the current sample of the state */
-  float32_t *px, *pb;                            /* Temporary pointers for state and coefficient buffers */
-  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
-  uint32_t i, tapCnt, blkCnt;                    /* Loop counters */
-
-  /* Run the below code for Cortex-M0 */
-
-  float32_t acc;
-
-  /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = &(S->pState[(numTaps - 1u)]);
-
-  /* Initialize blkCnt with blockSize */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* Copy one sample at a time into state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Set the accumulator to zero */
-    acc = 0.0f;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize Coefficient pointer */
-    pb = pCoeffs;
-
-    i = numTaps;
-
-    /* Perform the multiply-accumulates */
-    do
-    {
-      /* acc =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */
-      acc += *px++ * *pb++;
-      i--;
-
-    } while(i > 0u);
-
-    /* The result is store in the destination buffer. */
-    *pDst++ = acc;
-
-    /* Advance state pointer by 1 for the next sample */
-    pState = pState + 1;
-
-    blkCnt--;
-  }
-
-  /* Processing is complete.         
-   ** Now copy the last numTaps - 1 samples to the starting of the state buffer.       
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  /* Copy numTaps number of values */
-  tapCnt = numTaps - 1u;
-
-  /* Copy data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-}
-
-#endif /*   #ifndef ARM_MATH_CM0 */
-
-/**  
- * @} end of FIR group  
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_fast_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_fast_q15.c
deleted file mode 100644
index 59abff2f5..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_fast_q15.c
+++ /dev/null
@@ -1,341 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_fir_fast_q15.c    
-*    
-* Description:  Q15 Fast FIR filter processing function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.9  2010/08/16     
-*    Initial version    
-*    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR    
- * @{    
- */
-
-/**    
- * @param[in] *S points to an instance of the Q15 FIR filter structure.    
- * @param[in] *pSrc points to the block of input data.    
- * @param[out] *pDst points to the block of output data.    
- * @param[in] blockSize number of samples to process per call.    
- * @return none.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * This fast version uses a 32-bit accumulator with 2.30 format.    
- * The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit.    
- * Thus, if the accumulator result overflows it wraps around and distorts the result.    
- * In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits.    
- * The 2.30 accumulator is then truncated to 2.15 format and saturated to yield the 1.15 result.    
- *    
- * \par    
- * Refer to the function arm_fir_q15() for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion.  Both the slow and the fast versions use the same instance structure.    
- * Use the function arm_fir_init_q15() to initialize the filter structure.    
- */
-
-void arm_fir_fast_q15(
-  const arm_fir_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-  q15_t *pState = S->pState;                     /* State pointer */
-  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q15_t *pStateCurnt;                            /* Points to the current sample of the state */
-  q31_t acc0, acc1, acc2, acc3;                  /* Accumulators */
-  q15_t *pb;                                     /* Temporary pointer for coefficient buffer */
-  q15_t *px;                                     /* Temporary q31 pointer for SIMD state buffer accesses */
-  q31_t x0, x1, x2, c0;                          /* Temporary variables to hold SIMD state and coefficient values */
-  uint32_t numTaps = S->numTaps;                 /* Number of taps in the filter */
-  uint32_t tapCnt, blkCnt;                       /* Loop counters */
-
-
-  /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = &(S->pState[(numTaps - 1u)]);
-
-  /* Apply loop unrolling and compute 4 output values simultaneously.      
-   * The variables acc0 ... acc3 hold output values that are being computed:      
-   *      
-   *    acc0 =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]      
-   *    acc1 =  b[numTaps-1] * x[n-numTaps] +   b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]      
-   *    acc2 =  b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] +   b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]      
-   *    acc3 =  b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps]   +...+ b[0] * x[3]      
-   */
-
-  blkCnt = blockSize >> 2;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.      
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* Copy four new input samples into the state buffer.      
-     ** Use 32-bit SIMD to move the 16-bit data.  Only requires two copies. */
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-
-
-    /* Set all accumulators to zero */
-    acc0 = 0;
-    acc1 = 0;
-    acc2 = 0;
-    acc3 = 0;
-
-    /* Typecast q15_t pointer to q31_t pointer for state reading in q31_t */
-    px = pState;
-
-    /* Typecast q15_t pointer to q31_t pointer for coefficient reading in q31_t */
-    pb = pCoeffs;
-
-    /* Read the first two samples from the state buffer:  x[n-N], x[n-N-1] */
-    x0 = *__SIMD32(px)++;
-
-    /* Read the third and forth samples from the state buffer: x[n-N-2], x[n-N-3] */
-    x2 = *__SIMD32(px)++;
-
-    /* Loop over the number of taps.  Unroll by a factor of 4.      
-     ** Repeat until we've computed numTaps-(numTaps%4) coefficients. */
-    tapCnt = numTaps >> 2;
-
-    while(tapCnt > 0)
-    {
-      /* Read the first two coefficients using SIMD:  b[N] and b[N-1] coefficients */
-      c0 = *__SIMD32(pb)++;
-
-      /* acc0 +=  b[N] * x[n-N] + b[N-1] * x[n-N-1] */
-      acc0 = __SMLAD(x0, c0, acc0);
-
-      /* acc2 +=  b[N] * x[n-N-2] + b[N-1] * x[n-N-3] */
-      acc2 = __SMLAD(x2, c0, acc2);
-
-      /* pack  x[n-N-1] and x[n-N-2] */
-#ifndef ARM_MATH_BIG_ENDIAN
-      x1 = __PKHBT(x2, x0, 0);
-#else
-      x1 = __PKHBT(x0, x2, 0);
-#endif
-
-      /* Read state x[n-N-4], x[n-N-5] */
-      x0 = _SIMD32_OFFSET(px);
-
-      /* acc1 +=  b[N] * x[n-N-1] + b[N-1] * x[n-N-2] */
-      acc1 = __SMLADX(x1, c0, acc1);
-
-      /* pack  x[n-N-3] and x[n-N-4] */
-#ifndef ARM_MATH_BIG_ENDIAN
-      x1 = __PKHBT(x0, x2, 0);
-#else
-      x1 = __PKHBT(x2, x0, 0);
-#endif
-
-      /* acc3 +=  b[N] * x[n-N-3] + b[N-1] * x[n-N-4] */
-      acc3 = __SMLADX(x1, c0, acc3);
-
-      /* Read coefficients b[N-2], b[N-3] */
-      c0 = *__SIMD32(pb)++;
-
-      /* acc0 +=  b[N-2] * x[n-N-2] + b[N-3] * x[n-N-3] */
-      acc0 = __SMLAD(x2, c0, acc0);
-
-      /* Read state x[n-N-6], x[n-N-7] with offset */
-      x2 = _SIMD32_OFFSET(px + 2u);
-
-      /* acc2 +=  b[N-2] * x[n-N-4] + b[N-3] * x[n-N-5] */
-      acc2 = __SMLAD(x0, c0, acc2);
-
-      /* acc1 +=  b[N-2] * x[n-N-3] + b[N-3] * x[n-N-4] */
-      acc1 = __SMLADX(x1, c0, acc1);
-
-      /* pack  x[n-N-5] and x[n-N-6] */
-#ifndef ARM_MATH_BIG_ENDIAN
-      x1 = __PKHBT(x2, x0, 0);
-#else
-      x1 = __PKHBT(x0, x2, 0);
-#endif
-
-      /* acc3 +=  b[N-2] * x[n-N-5] + b[N-3] * x[n-N-6] */
-      acc3 = __SMLADX(x1, c0, acc3);
-
-      /* Update state pointer for next state reading */
-      px += 4u;
-
-      /* Decrement tap count */
-      tapCnt--;
-
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps.       
-     ** This is always be 2 taps since the filter length is even. */
-    if((numTaps & 0x3u) != 0u)
-    {
-
-      /* Read last two coefficients */
-      c0 = *__SIMD32(pb)++;
-
-      /* Perform the multiply-accumulates */
-      acc0 = __SMLAD(x0, c0, acc0);
-      acc2 = __SMLAD(x2, c0, acc2);
-
-      /* pack state variables */
-#ifndef ARM_MATH_BIG_ENDIAN
-      x1 = __PKHBT(x2, x0, 0);
-#else
-      x1 = __PKHBT(x0, x2, 0);
-#endif
-
-      /* Read last state variables */
-      x0 = *__SIMD32(px);
-
-      /* Perform the multiply-accumulates */
-      acc1 = __SMLADX(x1, c0, acc1);
-
-      /* pack state variables */
-#ifndef ARM_MATH_BIG_ENDIAN
-      x1 = __PKHBT(x0, x2, 0);
-#else
-      x1 = __PKHBT(x2, x0, 0);
-#endif
-
-      /* Perform the multiply-accumulates */
-      acc3 = __SMLADX(x1, c0, acc3);
-    }
-
-    /* The results in the 4 accumulators are in 2.30 format.  Convert to 1.15 with saturation.       
-     ** Then store the 4 outputs in the destination buffer. */
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    *__SIMD32(pDst)++ =
-      __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16);
-
-    *__SIMD32(pDst)++ =
-      __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16);
-
-#else
-
-    *__SIMD32(pDst)++ =
-      __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16);
-
-    *__SIMD32(pDst)++ =
-      __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16);
-
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN       */
-
-    /* Advance the state pointer by 4 to process the next group of 4 samples */
-    pState = pState + 4u;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.      
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-  while(blkCnt > 0u)
-  {
-    /* Copy two samples into state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Set the accumulator to zero */
-    acc0 = 0;
-
-    /* Use SIMD to hold states and coefficients */
-    px = pState;
-    pb = pCoeffs;
-
-    tapCnt = numTaps >> 1u;
-
-    do
-    {
-
-      acc0 += (q31_t) * px++ * *pb++;
-	  acc0 += (q31_t) * px++ * *pb++;
-
-      tapCnt--;
-    }
-    while(tapCnt > 0u);
-
-    /* The result is in 2.30 format.  Convert to 1.15 with saturation.      
-     ** Then store the output in the destination buffer. */
-    *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
-
-    /* Advance state pointer by 1 for the next sample */
-    pState = pState + 1u;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Processing is complete.      
-   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.      
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  /* Calculation of count for copying integer writes */
-  tapCnt = (numTaps - 1u) >> 2;
-
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-    tapCnt--;
-
-  }
-
-  /* Calculation of count for remaining q15_t data */
-  tapCnt = (numTaps - 1u) % 0x4u;
-
-  /* copy remaining data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-}
-
-/**    
- * @} end of FIR group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_fast_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_fast_q31.c
deleted file mode 100644
index e384ff973..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_fast_q31.c
+++ /dev/null
@@ -1,309 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_fir_fast_q31.c    
-*    
-* Description:	Processing function for the Q31 Fast FIR filter.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.9  2010/08/27     
-*    Initial version    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR    
- * @{    
- */
-
-/**    
- * @param[in] *S points to an instance of the Q31 structure.    
- * @param[in] *pSrc points to the block of input data.    
- * @param[out] *pDst points to the block output data.    
- * @param[in] blockSize number of samples to process per call.    
- * @return none.    
- *    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * This function is optimized for speed at the expense of fixed-point precision and overflow protection.    
- * The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format.    
- * These intermediate results are added to a 2.30 accumulator.    
- * Finally, the accumulator is saturated and converted to a 1.31 result.    
- * The fast version has the same overflow behavior as the standard version and provides less precision since it discards the low 32 bits of each multiplication result.    
- * In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits.    
- *    
- * \par    
- * Refer to the function arm_fir_q31() for a slower implementation of this function which uses a 64-bit accumulator to provide higher precision.  Both the slow and the fast versions use the same instance structure.    
- * Use the function arm_fir_init_q31() to initialize the filter structure.    
- */
-
-void arm_fir_fast_q31(
-  const arm_fir_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize)
-{
-  q31_t *pState = S->pState;                     /* State pointer */
-  q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q31_t *pStateCurnt;                            /* Points to the current sample of the state */
-  q31_t x0, x1, x2, x3;                          /* Temporary variables to hold state */
-  q31_t c0;                                      /* Temporary variable to hold coefficient value */
-  q31_t *px;                                     /* Temporary pointer for state */
-  q31_t *pb;                                     /* Temporary pointer for coefficient buffer */
-  q31_t acc0, acc1, acc2, acc3;                  /* Accumulators */
-  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
-  uint32_t i, tapCnt, blkCnt;                    /* Loop counters */
-
-  /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = &(S->pState[(numTaps - 1u)]);
-
-  /* Apply loop unrolling and compute 4 output values simultaneously.    
-   * The variables acc0 ... acc3 hold output values that are being computed:    
-   *    
-   *    acc0 =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]    
-   *    acc1 =  b[numTaps-1] * x[n-numTaps] +   b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]    
-   *    acc2 =  b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] +   b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]    
-   *    acc3 =  b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps]   +...+ b[0] * x[3]    
-   */
-  blkCnt = blockSize >> 2;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* Copy four new input samples into the state buffer */
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-
-    /* Set all accumulators to zero */
-    acc0 = 0;
-    acc1 = 0;
-    acc2 = 0;
-    acc3 = 0;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize coefficient pointer */
-    pb = pCoeffs;
-
-    /* Read the first three samples from the state buffer:    
-     *  x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2] */
-    x0 = *(px++);
-    x1 = *(px++);
-    x2 = *(px++);
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-    i = tapCnt;
-
-    while(i > 0u)
-    {
-      /* Read the b[numTaps] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-3] sample */
-      x3 = *(px++);
-
-      /* acc0 +=  b[numTaps] * x[n-numTaps] */
-      acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
-
-      /* acc1 +=  b[numTaps] * x[n-numTaps-1] */
-      acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
-
-      /* acc2 +=  b[numTaps] * x[n-numTaps-2] */
-      acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
-
-      /* acc3 +=  b[numTaps] * x[n-numTaps-3] */
-      acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
-
-      /* Read the b[numTaps-1] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-4] sample */
-      x0 = *(px++);
-
-      /* Perform the multiply-accumulates */
-      acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x1 * c0)) >> 32);
-      acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x2 * c0)) >> 32);
-      acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x3 * c0)) >> 32);
-      acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x0 * c0)) >> 32);
-
-      /* Read the b[numTaps-2] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-5] sample */
-      x1 = *(px++);
-
-      /* Perform the multiply-accumulates */
-      acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x2 * c0)) >> 32);
-      acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x3 * c0)) >> 32);
-      acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x0 * c0)) >> 32);
-      acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x1 * c0)) >> 32);
-
-      /* Read the b[numTaps-3] coefficients */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-6] sample */
-      x2 = *(px++);
-
-      /* Perform the multiply-accumulates */
-      acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x3 * c0)) >> 32);
-      acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x0 * c0)) >> 32);
-      acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x1 * c0)) >> 32);
-      acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x2 * c0)) >> 32);
-      i--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-
-    i = numTaps - (tapCnt * 4u);
-    while(i > 0u)
-    {
-      /* Read coefficients */
-      c0 = *(pb++);
-
-      /* Fetch 1 state variable */
-      x3 = *(px++);
-
-      /* Perform the multiply-accumulates */
-      acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
-      acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
-      acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
-      acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
-
-      /* Reuse the present sample states for next sample */
-      x0 = x1;
-      x1 = x2;
-      x2 = x3;
-
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* Advance the state pointer by 4 to process the next group of 4 samples */
-    pState = pState + 4;
-
-    /* The results in the 4 accumulators are in 2.30 format.  Convert to 1.31    
-     ** Then store the 4 outputs in the destination buffer. */
-    *pDst++ = (q31_t) (acc0 << 1);
-    *pDst++ = (q31_t) (acc1 << 1);
-    *pDst++ = (q31_t) (acc2 << 1);
-    *pDst++ = (q31_t) (acc3 << 1);
-
-    /* Decrement the samples loop counter */
-    blkCnt--;
-  }
-
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 4u;
-
-  while(blkCnt > 0u)
-  {
-    /* Copy one sample at a time into state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Set the accumulator to zero */
-    acc0 = 0;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize Coefficient pointer */
-    pb = (pCoeffs);
-
-    i = numTaps;
-
-    /* Perform the multiply-accumulates */
-    do
-    {
-      acc0 =
-        (q31_t) ((((q63_t) acc0 << 32) +
-                  ((q63_t) (*px++) * (*(pb++)))) >> 32);
-      i--;
-    } while(i > 0u);
-
-    /* The result is in 2.30 format.  Convert to 1.31    
-     ** Then store the output in the destination buffer. */
-    *pDst++ = (q31_t) (acc0 << 1);
-
-    /* Advance state pointer by 1 for the next sample */
-    pState = pState + 1;
-
-    /* Decrement the samples loop counter */
-    blkCnt--;
-  }
-
-  /* Processing is complete.    
-   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.    
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  tapCnt = (numTaps - 1u) >> 2u;
-
-  /* copy data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-  /* Calculate remaining number of copies */
-  tapCnt = (numTaps - 1u) % 0x4u;
-
-  /* Copy the remaining q31_t data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-
-}
-
-/**    
- * @} end of FIR group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_init_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_init_f32.c
deleted file mode 100644
index aaeddf5f6..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_init_f32.c
+++ /dev/null
@@ -1,94 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_fir_init_f32.c    
-*    
-* Description:  Floating-point FIR filter initialization function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.5  2010/04/26     
-* 	 incorporated review comments and updated with latest CMSIS layer    
-*    
-* Version 0.0.3  2010/03/10     
-*    Initial version    
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR    
- * @{    
- */
-
-/**    
- * @details    
- *    
- * @param[in,out] *S points to an instance of the floating-point FIR filter structure.    
- * @param[in] 	  numTaps  Number of filter coefficients in the filter.    
- * @param[in]     *pCoeffs points to the filter coefficients buffer.    
- * @param[in]     *pState points to the state buffer.    
- * @param[in] 	  blockSize number of samples that are processed per call.    
- * @return 		  none.    
- *    
- * Description:    
- * \par    
- * pCoeffs points to the array of filter coefficients stored in time reversed order:    
- * 
    
- *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
- * 
    
- * \par    
- * pState points to the array of state variables.    
- * pState is of length numTaps+blockSize-1 samples, where blockSize is the number of input samples processed by each call to arm_fir_f32().    
- */
-
-void arm_fir_init_f32(
-  arm_fir_instance_f32 * S,
-  uint16_t numTaps,
-  float32_t * pCoeffs,
-  float32_t * pState,
-  uint32_t blockSize)
-{
-  /* Assign filter taps */
-  S->numTaps = numTaps;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Clear state buffer and the size of state buffer is (blockSize + numTaps - 1) */
-  memset(pState, 0, (numTaps + (blockSize - 1u)) * sizeof(float32_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-}
-
-/**    
- * @} end of FIR group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_init_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_init_q15.c
deleted file mode 100644
index 02bb33623..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_init_q15.c
+++ /dev/null
@@ -1,152 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_fir_init_q15.c    
-*    
-* Description:  Q15 FIR filter initialization function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.5  2010/04/26     
-* 	 incorporated review comments and updated with latest CMSIS layer    
-*    
-* Version 0.0.3  2010/03/10     
-*    Initial version    
-* ------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR    
- * @{    
- */
-
-/**    
- * @param[in,out]  *S points to an instance of the Q15 FIR filter structure.    
- * @param[in] 	   numTaps  Number of filter coefficients in the filter. Must be even and greater than or equal to 4.    
- * @param[in]      *pCoeffs points to the filter coefficients buffer.    
- * @param[in]      *pState points to the state buffer.    
- * @param[in]      blockSize is number of samples processed per call.    
- * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if    
- * numTaps is not greater than or equal to 4 and even.    
- *    
- * Description:    
- * \par    
- * pCoeffs points to the array of filter coefficients stored in time reversed order:    
- * 
    
- *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
- * 
    
- * Note that numTaps must be even and greater than or equal to 4.    
- * To implement an odd length filter simply increase numTaps by 1 and set the last coefficient to zero.    
- * For example, to implement a filter with numTaps=3 and coefficients    
- * 
    
- *     {0.3, -0.8, 0.3}    
- * 
    
- * set numTaps=4 and use the coefficients:    
- * 
    
- *     {0.3, -0.8, 0.3, 0}.    
- * 
    
- * Similarly, to implement a two point filter    
- * 
    
- *     {0.3, -0.3}    
- * 
    
- * set numTaps=4 and use the coefficients:    
- * 
    
- *     {0.3, -0.3, 0, 0}.    
- * 
    
- * \par    
- * pState points to the array of state variables.    
- * pState is of length numTaps+blockSize, when running on Cortex-M4 and Cortex-M3  and is of length numTaps+blockSize-1, when running on Cortex-M0 where blockSize is the number of input samples processed by each call to arm_fir_q15().    
- */
-
-arm_status arm_fir_init_q15(
-  arm_fir_instance_q15 * S,
-  uint16_t numTaps,
-  q15_t * pCoeffs,
-  q15_t * pState,
-  uint32_t blockSize)
-{
-  arm_status status;
-
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /* The Number of filter coefficients in the filter must be even and at least 4 */
-  if(numTaps & 0x1u)
-  {
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-  else
-  {
-    /* Assign filter taps */
-    S->numTaps = numTaps;
-
-    /* Assign coefficient pointer */
-    S->pCoeffs = pCoeffs;
-
-    /* Clear the state buffer.  The size is always (blockSize + numTaps ) */
-    memset(pState, 0, (numTaps + (blockSize)) * sizeof(q15_t));
-
-    /* Assign state pointer */
-    S->pState = pState;
-
-    status = ARM_MATH_SUCCESS;
-  }
-
-  return (status);
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Assign filter taps */
-  S->numTaps = numTaps;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Clear the state buffer.  The size is always (blockSize + numTaps - 1) */
-  memset(pState, 0, (numTaps + (blockSize - 1u)) * sizeof(q15_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-  status = ARM_MATH_SUCCESS;
-
-  return (status);
-
-#endif /*  #ifndef ARM_MATH_CM0 */
-
-}
-
-/**    
- * @} end of FIR group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_init_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_init_q31.c
deleted file mode 100644
index 997a78427..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_init_q31.c
+++ /dev/null
@@ -1,94 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_fir_init_q31.c    
-*    
-* Description:	Q31 FIR filter initialization function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.5  2010/04/26     
-* 	 incorporated review comments and updated with latest CMSIS layer    
-*    
-* Version 0.0.3  2010/03/10     
-*    Initial version    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR    
- * @{    
- */
-
-/**    
- * @details    
- *    
- * @param[in,out] *S points to an instance of the Q31 FIR filter structure.    
- * @param[in] 	  numTaps  Number of filter coefficients in the filter.    
- * @param[in] 	  *pCoeffs points to the filter coefficients buffer.    
- * @param[in] 	  *pState points to the state buffer.    
- * @param[in] 	  blockSize number of samples that are processed per call.    
- * @return        none.    
- *    
- * Description:    
- * \par    
- * pCoeffs points to the array of filter coefficients stored in time reversed order:    
- * 
    
- *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
- * 
    
- * \par    
- * pState points to the array of state variables.    
- * pState is of length numTaps+blockSize-1 samples, where blockSize is the number of input samples processed by each call to arm_fir_q31().    
- */
-
-void arm_fir_init_q31(
-  arm_fir_instance_q31 * S,
-  uint16_t numTaps,
-  q31_t * pCoeffs,
-  q31_t * pState,
-  uint32_t blockSize)
-{
-  /* Assign filter taps */
-  S->numTaps = numTaps;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Clear state buffer and state array size is (blockSize + numTaps - 1) */
-  memset(pState, 0, (blockSize + ((uint32_t) numTaps - 1u)) * sizeof(q31_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-}
-
-/**    
- * @} end of FIR group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_init_q7.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_init_q7.c
deleted file mode 100644
index 65a49a823..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_init_q7.c
+++ /dev/null
@@ -1,92 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_fir_init_q7.c    
-*    
-* Description:  Q7 FIR filter initialization function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.5  2010/04/26     
-* 	 incorporated review comments and updated with latest CMSIS layer    
-*    
-* Version 0.0.3  2010/03/10     
-*    Initial version    
-* ------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR    
- * @{    
- */
-/**    
- * @param[in,out] *S points to an instance of the Q7 FIR filter structure.    
- * @param[in] 	  numTaps  Number of filter coefficients in the filter.    
- * @param[in] 	  *pCoeffs points to the filter coefficients buffer.    
- * @param[in]     *pState points to the state buffer.    
- * @param[in]     blockSize number of samples that are processed per call.    
- * @return     	  none    
- *    
- * Description:    
- * \par    
- * pCoeffs points to the array of filter coefficients stored in time reversed order:    
- * 
    
- *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
- * 
    
- * \par    
- * pState points to the array of state variables.    
- * pState is of length numTaps+blockSize-1 samples, where blockSize is the number of input samples processed by each call to arm_fir_q7().    
- */
-
-void arm_fir_init_q7(
-  arm_fir_instance_q7 * S,
-  uint16_t numTaps,
-  q7_t * pCoeffs,
-  q7_t * pState,
-  uint32_t blockSize)
-{
-
-  /* Assign filter taps */
-  S->numTaps = numTaps;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Clear the state buffer.  The size is always (blockSize + numTaps - 1) */
-  memset(pState, 0, (numTaps + (blockSize - 1u)) * sizeof(q7_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-}
-
-/**    
- * @} end of FIR group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_f32.c
deleted file mode 100644
index c966a0ced..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_f32.c
+++ /dev/null
@@ -1,574 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_fir_interpolate_f32.c    
-*    
-* Description:	FIR interpolation for floating-point sequences.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @defgroup FIR_Interpolate Finite Impulse Response (FIR) Interpolator    
- *    
- * These functions combine an upsampler (zero stuffer) and an FIR filter.    
- * They are used in multirate systems for increasing the sample rate of a signal without introducing high frequency images.    
- * Conceptually, the functions are equivalent to the block diagram below:    
- * \image html FIRInterpolator.gif "Components included in the FIR Interpolator functions"    
- * After upsampling by a factor of L, the signal should be filtered by a lowpass filter with a normalized    
- * cutoff frequency of 1/L in order to eliminate high frequency copies of the spectrum.    
- * The user of the function is responsible for providing the filter coefficients.    
- *    
- * The FIR interpolator functions provided in the CMSIS DSP Library combine the upsampler and FIR filter in an efficient manner.    
- * The upsampler inserts L-1 zeros between each sample.    
- * Instead of multiplying by these zero values, the FIR filter is designed to skip them.    
- * This leads to an efficient implementation without any wasted effort.    
- * The functions operate on blocks of input and output data.    
- * pSrc points to an array of blockSize input values and    
- * pDst points to an array of blockSize*L output values.    
- *    
- * The library provides separate functions for Q15, Q31, and floating-point data types.    
- *    
- * \par Algorithm:    
- * The functions use a polyphase filter structure:    
- * 
    
- *    y[n] = b[0] * x[n] + b[L]   * x[n-1] + ... + b[L*(phaseLength-1)] * x[n-phaseLength+1]    
- *    y[n+1] = b[1] * x[n] + b[L+1] * x[n-1] + ... + b[L*(phaseLength-1)+1] * x[n-phaseLength+1]    
- *    ...    
- *    y[n+(L-1)] = b[L-1] * x[n] + b[2*L-1] * x[n-1] + ....+ b[L*(phaseLength-1)+(L-1)] * x[n-phaseLength+1]    
- * 
    
- * This approach is more efficient than straightforward upsample-then-filter algorithms.    
- * With this method the computation is reduced by a factor of 1/L when compared to using a standard FIR filter.    
- * \par    
- * pCoeffs points to a coefficient array of size numTaps.    
- * numTaps must be a multiple of the interpolation factor L and this is checked by the    
- * initialization functions.    
- * Internally, the function divides the FIR filter's impulse response into shorter filters of length    
- * phaseLength=numTaps/L.    
- * Coefficients are stored in time reversed order.    
- * \par    
- * 
    
- *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
- * 
    
- * \par    
- * pState points to a state array of size blockSize + phaseLength - 1.    
- * Samples in the state buffer are stored in the order:    
- * \par    
- * 
    
- *    {x[n-phaseLength+1], x[n-phaseLength], x[n-phaseLength-1], x[n-phaseLength-2]....x[0], x[1], ..., x[blockSize-1]}    
- * 
    
- * The state variables are updated after each block of data is processed, the coefficients are untouched.    
- *    
- * \par Instance Structure    
- * The coefficients and state variables for a filter are stored together in an instance data structure.    
- * A separate instance structure must be defined for each filter.    
- * Coefficient arrays may be shared among several instances while state variable array should be allocated separately.    
- * There are separate instance structure declarations for each of the 3 supported data types.    
- *    
- * \par Initialization Functions    
- * There is also an associated initialization function for each data type.    
- * The initialization function performs the following operations:    
- * - Sets the values of the internal structure fields.    
- * - Zeros out the values in the state buffer.    
- * - Checks to make sure that the length of the filter is a multiple of the interpolation factor.    
- *    
- * \par    
- * Use of the initialization function is optional.    
- * However, if the initialization function is used, then the instance structure cannot be placed into a const data section.    
- * To place an instance structure into a const data section, the instance structure must be manually initialized.    
- * The code below statically initializes each of the 3 different data type filter instance structures    
- * 
    
- * arm_fir_interpolate_instance_f32 S = {L, phaseLength, pCoeffs, pState};    
- * arm_fir_interpolate_instance_q31 S = {L, phaseLength, pCoeffs, pState};    
- * arm_fir_interpolate_instance_q15 S = {L, phaseLength, pCoeffs, pState};    
- * 
    
- * where L is the interpolation factor; phaseLength=numTaps/L is the    
- * length of each of the shorter FIR filters used internally,    
- * pCoeffs is the address of the coefficient buffer;    
- * pState is the address of the state buffer.    
- * Be sure to set the values in the state buffer to zeros when doing static initialization.    
- *    
- * \par Fixed-Point Behavior    
- * Care must be taken when using the fixed-point versions of the FIR interpolate filter functions.    
- * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.    
- * Refer to the function specific documentation below for usage guidelines.    
- */
-
-/**    
- * @addtogroup FIR_Interpolate    
- * @{    
- */
-
-/**    
- * @brief Processing function for the floating-point FIR interpolator.    
- * @param[in] *S        points to an instance of the floating-point FIR interpolator structure.    
- * @param[in] *pSrc     points to the block of input data.    
- * @param[out] *pDst    points to the block of output data.    
- * @param[in] blockSize number of input samples to process per call.    
- * @return none.    
- */
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-void arm_fir_interpolate_f32(
-  const arm_fir_interpolate_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize)
-{
-  float32_t *pState = S->pState;                 /* State pointer */
-  float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
-  float32_t *pStateCurnt;                        /* Points to the current sample of the state */
-  float32_t *ptr1, *ptr2;                        /* Temporary pointers for state and coefficient buffers */
-  float32_t sum0;                                /* Accumulators */
-  float32_t x0, c0;                              /* Temporary variables to hold state and coefficient values */
-  uint32_t i, blkCnt, j;                         /* Loop counters */
-  uint16_t phaseLen = S->phaseLength, tapCnt;    /* Length of each polyphase filter component */
-  float32_t acc0, acc1, acc2, acc3;
-  float32_t x1, x2, x3;
-  uint32_t blkCntN4;
-  float32_t c1, c2, c3;
-
-  /* S->pState buffer contains previous frame (phaseLen - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = S->pState + (phaseLen - 1u);
-
-  /* Initialise  blkCnt */
-  blkCnt = blockSize / 4;
-  blkCntN4 = blockSize - (4 * blkCnt);
-
-  /* Samples loop unrolled by 4 */
-  while(blkCnt > 0u)
-  {
-    /* Copy new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-
-    /* Address modifier index of coefficient buffer */
-    j = 1u;
-
-    /* Loop over the Interpolation factor. */
-    i = (S->L);
-
-    while(i > 0u)
-    {
-      /* Set accumulator to zero */
-      acc0 = 0.0f;
-      acc1 = 0.0f;
-      acc2 = 0.0f;
-      acc3 = 0.0f;
-
-      /* Initialize state pointer */
-      ptr1 = pState;
-
-      /* Initialize coefficient pointer */
-      ptr2 = pCoeffs + (S->L - j);
-
-      /* Loop over the polyPhase length. Unroll by a factor of 4.        
-       ** Repeat until we've computed numTaps-(4*S->L) coefficients. */
-      tapCnt = phaseLen >> 2u;
-
-      x0 = *(ptr1++);
-      x1 = *(ptr1++);
-      x2 = *(ptr1++);
-
-      while(tapCnt > 0u)
-      {
-
-        /* Read the input sample */
-        x3 = *(ptr1++);
-
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Perform the multiply-accumulate */
-        acc0 += x0 * c0;
-        acc1 += x1 * c0;
-        acc2 += x2 * c0;
-        acc3 += x3 * c0;
-
-        /* Read the coefficient */
-        c1 = *(ptr2 + S->L);
-
-        /* Read the input sample */
-        x0 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        acc0 += x1 * c1;
-        acc1 += x2 * c1;
-        acc2 += x3 * c1;
-        acc3 += x0 * c1;
-
-        /* Read the coefficient */
-        c2 = *(ptr2 + S->L * 2);
-
-        /* Read the input sample */
-        x1 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        acc0 += x2 * c2;
-        acc1 += x3 * c2;
-        acc2 += x0 * c2;
-        acc3 += x1 * c2;
-
-        /* Read the coefficient */
-        c3 = *(ptr2 + S->L * 3);
-
-        /* Read the input sample */
-        x2 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        acc0 += x3 * c3;
-        acc1 += x0 * c3;
-        acc2 += x1 * c3;
-        acc3 += x2 * c3;
-
-
-        /* Upsampling is done by stuffing L-1 zeros between each sample.        
-         * So instead of multiplying zeros with coefficients,        
-         * Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += 4 * S->L;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */
-      tapCnt = phaseLen % 0x4u;
-
-      while(tapCnt > 0u)
-      {
-
-        /* Read the input sample */
-        x3 = *(ptr1++);
-
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Perform the multiply-accumulate */
-        acc0 += x0 * c0;
-        acc1 += x1 * c0;
-        acc2 += x2 * c0;
-        acc3 += x3 * c0;
-
-        /* Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* update states for next sample processing */
-        x0 = x1;
-        x1 = x2;
-        x2 = x3;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      /* The result is in the accumulator, store in the destination buffer. */
-      *pDst = acc0;
-      *(pDst + S->L) = acc1;
-      *(pDst + 2 * S->L) = acc2;
-      *(pDst + 3 * S->L) = acc3;
-
-      pDst++;
-
-      /* Increment the address modifier index of coefficient buffer */
-      j++;
-
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* Advance the state pointer by 1        
-     * to process the next group of interpolation factor number samples */
-    pState = pState + 4;
-
-    pDst += S->L * 3;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.        
-   ** No loop unrolling is used. */
-
-  while(blkCntN4 > 0u)
-  {
-    /* Copy new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Address modifier index of coefficient buffer */
-    j = 1u;
-
-    /* Loop over the Interpolation factor. */
-    i = S->L;
-    while(i > 0u)
-    {
-      /* Set accumulator to zero */
-      sum0 = 0.0f;
-
-      /* Initialize state pointer */
-      ptr1 = pState;
-
-      /* Initialize coefficient pointer */
-      ptr2 = pCoeffs + (S->L - j);
-
-      /* Loop over the polyPhase length. Unroll by a factor of 4.        
-       ** Repeat until we've computed numTaps-(4*S->L) coefficients. */
-      tapCnt = phaseLen >> 2u;
-      while(tapCnt > 0u)
-      {
-
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Upsampling is done by stuffing L-1 zeros between each sample.        
-         * So instead of multiplying zeros with coefficients,        
-         * Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* Read the input sample */
-        x0 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        sum0 += x0 * c0;
-
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* Read the input sample */
-        x0 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        sum0 += x0 * c0;
-
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* Read the input sample */
-        x0 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        sum0 += x0 * c0;
-
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* Read the input sample */
-        x0 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        sum0 += x0 * c0;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */
-      tapCnt = phaseLen % 0x4u;
-
-      while(tapCnt > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum0 += *(ptr1++) * (*ptr2);
-
-        /* Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      /* The result is in the accumulator, store in the destination buffer. */
-      *pDst++ = sum0;
-
-      /* Increment the address modifier index of coefficient buffer */
-      j++;
-
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* Advance the state pointer by 1        
-     * to process the next group of interpolation factor number samples */
-    pState = pState + 1;
-
-    /* Decrement the loop counter */
-    blkCntN4--;
-  }
-
-  /* Processing is complete.        
-   ** Now copy the last phaseLen - 1 samples to the satrt of the state buffer.        
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  tapCnt = (phaseLen - 1u) >> 2u;
-
-  /* copy data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-  tapCnt = (phaseLen - 1u) % 0x04u;
-
-  /* copy data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-}
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-void arm_fir_interpolate_f32(
-  const arm_fir_interpolate_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize)
-{
-  float32_t *pState = S->pState;                 /* State pointer */
-  float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
-  float32_t *pStateCurnt;                        /* Points to the current sample of the state */
-  float32_t *ptr1, *ptr2;                        /* Temporary pointers for state and coefficient buffers */
-
-
-  float32_t sum;                                 /* Accumulator */
-  uint32_t i, blkCnt;                            /* Loop counters */
-  uint16_t phaseLen = S->phaseLength, tapCnt;    /* Length of each polyphase filter component */
-
-
-  /* S->pState buffer contains previous frame (phaseLen - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = S->pState + (phaseLen - 1u);
-
-  /* Total number of intput samples */
-  blkCnt = blockSize;
-
-  /* Loop over the blockSize. */
-  while(blkCnt > 0u)
-  {
-    /* Copy new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Loop over the Interpolation factor. */
-    i = S->L;
-
-    while(i > 0u)
-    {
-      /* Set accumulator to zero */
-      sum = 0.0f;
-
-      /* Initialize state pointer */
-      ptr1 = pState;
-
-      /* Initialize coefficient pointer */
-      ptr2 = pCoeffs + (i - 1u);
-
-      /* Loop over the polyPhase length */
-      tapCnt = phaseLen;
-
-      while(tapCnt > 0u)
-      {
-        /* Perform the multiply-accumulate */
-        sum += *ptr1++ * *ptr2;
-
-        /* Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      /* The result is in the accumulator, store in the destination buffer. */
-      *pDst++ = sum;
-
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* Advance the state pointer by 1           
-     * to process the next group of interpolation factor number samples */
-    pState = pState + 1;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Processing is complete.         
-   ** Now copy the last phaseLen - 1 samples to the start of the state buffer.       
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  tapCnt = phaseLen - 1u;
-
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-}
-
-#endif /*   #ifndef ARM_MATH_CM0 */
-
-
-
- /**    
-  * @} end of FIR_Interpolate group    
-  */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_init_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_init_f32.c
deleted file mode 100644
index b19347264..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_init_f32.c
+++ /dev/null
@@ -1,116 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_fir_interpolate_init_f32.c    
-*    
-* Description:  Floating-point FIR interpolator initialization function    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_Interpolate    
- * @{    
- */
-
-/**    
- * @brief  Initialization function for the floating-point FIR interpolator.    
- * @param[in,out] *S        points to an instance of the floating-point FIR interpolator structure.    
- * @param[in]     L         upsample factor.    
- * @param[in]     numTaps   number of filter coefficients in the filter.    
- * @param[in]     *pCoeffs  points to the filter coefficient buffer.    
- * @param[in]     *pState   points to the state buffer.    
- * @param[in]     blockSize number of input samples to process per call.    
- * @return        The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_LENGTH_ERROR if    
- * the filter length numTaps is not a multiple of the interpolation factor L.    
- *    
- * Description:    
- * \par    
- * pCoeffs points to the array of filter coefficients stored in time reversed order:    
- * 
    
- *    {b[numTaps-1], b[numTaps-2], b[numTaps-2], ..., b[1], b[0]}    
- * 
    
- * The length of the filter numTaps must be a multiple of the interpolation factor L.    
- * \par    
- * pState points to the array of state variables.    
- * pState is of length (numTaps/L)+blockSize-1 words    
- * where blockSize is the number of input samples processed by each call to arm_fir_interpolate_f32().    
- */
-
-arm_status arm_fir_interpolate_init_f32(
-  arm_fir_interpolate_instance_f32 * S,
-  uint8_t L,
-  uint16_t numTaps,
-  float32_t * pCoeffs,
-  float32_t * pState,
-  uint32_t blockSize)
-{
-  arm_status status;
-
-  /* The filter length must be a multiple of the interpolation factor */
-  if((numTaps % L) != 0u)
-  {
-    /* Set status as ARM_MATH_LENGTH_ERROR */
-    status = ARM_MATH_LENGTH_ERROR;
-  }
-  else
-  {
-
-    /* Assign coefficient pointer */
-    S->pCoeffs = pCoeffs;
-
-    /* Assign Interpolation factor */
-    S->L = L;
-
-    /* Assign polyPhaseLength */
-    S->phaseLength = numTaps / L;
-
-    /* Clear state buffer and size of state array is always phaseLength + blockSize - 1 */
-    memset(pState, 0,
-           (blockSize +
-            ((uint32_t) S->phaseLength - 1u)) * sizeof(float32_t));
-
-    /* Assign state pointer */
-    S->pState = pState;
-
-    status = ARM_MATH_SUCCESS;
-  }
-
-  return (status);
-
-}
-
- /**    
-  * @} end of FIR_Interpolate group    
-  */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_init_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_init_q15.c
deleted file mode 100644
index b344fc785..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_init_q15.c
+++ /dev/null
@@ -1,115 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_fir_interpolate_init_q15.c    
-*    
-* Description:  Q15 FIR interpolator initialization function    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_Interpolate    
- * @{    
- */
-
-/**    
- * @brief  Initialization function for the Q15 FIR interpolator.    
- * @param[in,out] *S        points to an instance of the Q15 FIR interpolator structure.    
- * @param[in]     L         upsample factor.    
- * @param[in]     numTaps   number of filter coefficients in the filter.    
- * @param[in]     *pCoeffs  points to the filter coefficient buffer.    
- * @param[in]     *pState   points to the state buffer.    
- * @param[in]     blockSize number of input samples to process per call.    
- * @return        The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_LENGTH_ERROR if    
- * the filter length numTaps is not a multiple of the interpolation factor L.    
- *    
- * Description:    
- * \par    
- * pCoeffs points to the array of filter coefficients stored in time reversed order:    
- * 
    
- *    {b[numTaps-1], b[numTaps-2], b[numTaps-2], ..., b[1], b[0]}    
- * 
    
- * The length of the filter numTaps must be a multiple of the interpolation factor L.    
- * \par    
- * pState points to the array of state variables.    
- * pState is of length (numTaps/L)+blockSize-1 words    
- * where blockSize is the number of input samples processed by each call to arm_fir_interpolate_q15().    
- */
-
-arm_status arm_fir_interpolate_init_q15(
-  arm_fir_interpolate_instance_q15 * S,
-  uint8_t L,
-  uint16_t numTaps,
-  q15_t * pCoeffs,
-  q15_t * pState,
-  uint32_t blockSize)
-{
-  arm_status status;
-
-  /* The filter length must be a multiple of the interpolation factor */
-  if((numTaps % L) != 0u)
-  {
-    /* Set status as ARM_MATH_LENGTH_ERROR */
-    status = ARM_MATH_LENGTH_ERROR;
-  }
-  else
-  {
-
-    /* Assign coefficient pointer */
-    S->pCoeffs = pCoeffs;
-
-    /* Assign Interpolation factor */
-    S->L = L;
-
-    /* Assign polyPhaseLength */
-    S->phaseLength = numTaps / L;
-
-    /* Clear state buffer and size of buffer is always phaseLength + blockSize - 1 */
-    memset(pState, 0,
-           (blockSize + ((uint32_t) S->phaseLength - 1u)) * sizeof(q15_t));
-
-    /* Assign state pointer */
-    S->pState = pState;
-
-    status = ARM_MATH_SUCCESS;
-  }
-
-  return (status);
-
-}
-
- /**    
-  * @} end of FIR_Interpolate group    
-  */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_init_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_init_q31.c
deleted file mode 100644
index f0383b8e9..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_init_q31.c
+++ /dev/null
@@ -1,116 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_fir_interpolate_init_q31.c    
-*    
-* Description:  Q31 FIR interpolator initialization function    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_Interpolate    
- * @{    
- */
-
-
-/**    
- * @brief  Initialization function for the Q31 FIR interpolator.    
- * @param[in,out] *S        points to an instance of the Q31 FIR interpolator structure.    
- * @param[in]     L         upsample factor.    
- * @param[in]     numTaps   number of filter coefficients in the filter.    
- * @param[in]     *pCoeffs  points to the filter coefficient buffer.    
- * @param[in]     *pState   points to the state buffer.    
- * @param[in]     blockSize number of input samples to process per call.    
- * @return        The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_LENGTH_ERROR if    
- * the filter length numTaps is not a multiple of the interpolation factor L.    
- *    
- * Description:    
- * \par    
- * pCoeffs points to the array of filter coefficients stored in time reversed order:    
- * 
    
- *    {b[numTaps-1], b[numTaps-2], b[numTaps-2], ..., b[1], b[0]}    
- * 
    
- * The length of the filter numTaps must be a multiple of the interpolation factor L.    
- * \par    
- * pState points to the array of state variables.    
- * pState is of length (numTaps/L)+blockSize-1 words    
- * where blockSize is the number of input samples processed by each call to arm_fir_interpolate_q31().    
- */
-
-arm_status arm_fir_interpolate_init_q31(
-  arm_fir_interpolate_instance_q31 * S,
-  uint8_t L,
-  uint16_t numTaps,
-  q31_t * pCoeffs,
-  q31_t * pState,
-  uint32_t blockSize)
-{
-  arm_status status;
-
-  /* The filter length must be a multiple of the interpolation factor */
-  if((numTaps % L) != 0u)
-  {
-    /* Set status as ARM_MATH_LENGTH_ERROR */
-    status = ARM_MATH_LENGTH_ERROR;
-  }
-  else
-  {
-
-    /* Assign coefficient pointer */
-    S->pCoeffs = pCoeffs;
-
-    /* Assign Interpolation factor */
-    S->L = L;
-
-    /* Assign polyPhaseLength */
-    S->phaseLength = numTaps / L;
-
-    /* Clear state buffer and size of buffer is always phaseLength + blockSize - 1 */
-    memset(pState, 0,
-           (blockSize + ((uint32_t) S->phaseLength - 1u)) * sizeof(q31_t));
-
-    /* Assign state pointer */
-    S->pState = pState;
-
-    status = ARM_MATH_SUCCESS;
-  }
-
-  return (status);
-
-}
-
- /**    
-  * @} end of FIR_Interpolate group    
-  */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_q15.c
deleted file mode 100644
index d17d8d803..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_q15.c
+++ /dev/null
@@ -1,503 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_fir_interpolate_q15.c    
-*    
-* Description:	Q15 FIR interpolation.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_Interpolate    
- * @{    
- */
-
-/**    
- * @brief Processing function for the Q15 FIR interpolator.    
- * @param[in] *S        points to an instance of the Q15 FIR interpolator structure.    
- * @param[in] *pSrc     points to the block of input data.    
- * @param[out] *pDst    points to the block of output data.    
- * @param[in] blockSize number of input samples to process per call.    
- * @return none.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function is implemented using a 64-bit internal accumulator.    
- * Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result.    
- * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.    
- * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.    
- * After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits.    
- * Lastly, the accumulator is saturated to yield a result in 1.15 format.    
- */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-void arm_fir_interpolate_q15(
-  const arm_fir_interpolate_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-  q15_t *pState = S->pState;                     /* State pointer                                            */
-  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer                                      */
-  q15_t *pStateCurnt;                            /* Points to the current sample of the state                */
-  q15_t *ptr1, *ptr2;                            /* Temporary pointers for state and coefficient buffers     */
-  q63_t sum0;                                    /* Accumulators                                             */
-  q15_t x0, c0;                                  /* Temporary variables to hold state and coefficient values */
-  uint32_t i, blkCnt, j, tapCnt;                 /* Loop counters                                            */
-  uint16_t phaseLen = S->phaseLength;            /* Length of each polyphase filter component */
-  uint32_t blkCntN2;
-  q63_t acc0, acc1;
-  q15_t x1;
-
-  /* S->pState buffer contains previous frame (phaseLen - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = S->pState + ((q31_t) phaseLen - 1);
-
-  /* Initialise  blkCnt */
-  blkCnt = blockSize / 2;
-  blkCntN2 = blockSize - (2 * blkCnt);
-
-  /* Samples loop unrolled by 2 */
-  while(blkCnt > 0u)
-  {
-    /* Copy new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-
-    /* Address modifier index of coefficient buffer */
-    j = 1u;
-
-    /* Loop over the Interpolation factor. */
-    i = (S->L);
-
-    while(i > 0u)
-    {
-      /* Set accumulator to zero */
-      acc0 = 0;
-      acc1 = 0;
-
-      /* Initialize state pointer */
-      ptr1 = pState;
-
-      /* Initialize coefficient pointer */
-      ptr2 = pCoeffs + (S->L - j);
-
-      /* Loop over the polyPhase length. Unroll by a factor of 4.        
-       ** Repeat until we've computed numTaps-(4*S->L) coefficients. */
-      tapCnt = phaseLen >> 2u;
-
-      x0 = *(ptr1++);
-
-      while(tapCnt > 0u)
-      {
-
-        /* Read the input sample */
-        x1 = *(ptr1++);
-
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Perform the multiply-accumulate */
-        acc0 += (q63_t) x0 *c0;
-        acc1 += (q63_t) x1 *c0;
-
-
-        /* Read the coefficient */
-        c0 = *(ptr2 + S->L);
-
-        /* Read the input sample */
-        x0 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        acc0 += (q63_t) x1 *c0;
-        acc1 += (q63_t) x0 *c0;
-
-
-        /* Read the coefficient */
-        c0 = *(ptr2 + S->L * 2);
-
-        /* Read the input sample */
-        x1 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        acc0 += (q63_t) x0 *c0;
-        acc1 += (q63_t) x1 *c0;
-
-        /* Read the coefficient */
-        c0 = *(ptr2 + S->L * 3);
-
-        /* Read the input sample */
-        x0 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        acc0 += (q63_t) x1 *c0;
-        acc1 += (q63_t) x0 *c0;
-
-
-        /* Upsampling is done by stuffing L-1 zeros between each sample.        
-         * So instead of multiplying zeros with coefficients,        
-         * Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += 4 * S->L;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */
-      tapCnt = phaseLen % 0x4u;
-
-      while(tapCnt > 0u)
-      {
-
-        /* Read the input sample */
-        x1 = *(ptr1++);
-
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Perform the multiply-accumulate */
-        acc0 += (q63_t) x0 *c0;
-        acc1 += (q63_t) x1 *c0;
-
-        /* Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* update states for next sample processing */
-        x0 = x1;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      /* The result is in the accumulator, store in the destination buffer. */
-      *pDst = (q15_t) (__SSAT((acc0 >> 15), 16));
-      *(pDst + S->L) = (q15_t) (__SSAT((acc1 >> 15), 16));
-
-      pDst++;
-
-      /* Increment the address modifier index of coefficient buffer */
-      j++;
-
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* Advance the state pointer by 1        
-     * to process the next group of interpolation factor number samples */
-    pState = pState + 2;
-
-    pDst += S->L;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 2, compute any remaining output samples here.        
-   ** No loop unrolling is used. */
-  blkCnt = blkCntN2;
-
-  /* Loop over the blockSize. */
-  while(blkCnt > 0u)
-  {
-    /* Copy new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Address modifier index of coefficient buffer */
-    j = 1u;
-
-    /* Loop over the Interpolation factor. */
-    i = S->L;
-    while(i > 0u)
-    {
-      /* Set accumulator to zero */
-      sum0 = 0;
-
-      /* Initialize state pointer */
-      ptr1 = pState;
-
-      /* Initialize coefficient pointer */
-      ptr2 = pCoeffs + (S->L - j);
-
-      /* Loop over the polyPhase length. Unroll by a factor of 4.        
-       ** Repeat until we've computed numTaps-(4*S->L) coefficients. */
-      tapCnt = phaseLen >> 2;
-      while(tapCnt > 0u)
-      {
-
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Upsampling is done by stuffing L-1 zeros between each sample.        
-         * So instead of multiplying zeros with coefficients,        
-         * Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* Read the input sample */
-        x0 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        sum0 += (q63_t) x0 *c0;
-
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* Read the input sample */
-        x0 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        sum0 += (q63_t) x0 *c0;
-
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* Read the input sample */
-        x0 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        sum0 += (q63_t) x0 *c0;
-
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* Read the input sample */
-        x0 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        sum0 += (q63_t) x0 *c0;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */
-      tapCnt = phaseLen & 0x3u;
-
-      while(tapCnt > 0u)
-      {
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* Read the input sample */
-        x0 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        sum0 += (q63_t) x0 *c0;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      /* The result is in the accumulator, store in the destination buffer. */
-      *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16));
-
-      j++;
-
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* Advance the state pointer by 1        
-     * to process the next group of interpolation factor number samples */
-    pState = pState + 1;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-
-  /* Processing is complete.    
-   ** Now copy the last phaseLen - 1 samples to the satrt of the state buffer.    
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  i = ((uint32_t) phaseLen - 1u) >> 2u;
-
-  /* copy data */
-  while(i > 0u)
-  {
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
-    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
-
-#else
-
-    *pStateCurnt++ = *pState++;
-	*pStateCurnt++ = *pState++;
-	*pStateCurnt++ = *pState++;
-	*pStateCurnt++ = *pState++;
-	
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-	
-	/* Decrement the loop counter */
-    i--;
-  }
-
-  i = ((uint32_t) phaseLen - 1u) % 0x04u;
-
-  while(i > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-}
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-void arm_fir_interpolate_q15(
-  const arm_fir_interpolate_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-  q15_t *pState = S->pState;                     /* State pointer                                            */
-  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer                                      */
-  q15_t *pStateCurnt;                            /* Points to the current sample of the state                */
-  q15_t *ptr1, *ptr2;                            /* Temporary pointers for state and coefficient buffers     */
-  q63_t sum;                                     /* Accumulator */
-  q15_t x0, c0;                                  /* Temporary variables to hold state and coefficient values */
-  uint32_t i, blkCnt, tapCnt;                    /* Loop counters                                            */
-  uint16_t phaseLen = S->phaseLength;            /* Length of each polyphase filter component */
-
-
-  /* S->pState buffer contains previous frame (phaseLen - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = S->pState + (phaseLen - 1u);
-
-  /* Total number of intput samples */
-  blkCnt = blockSize;
-
-  /* Loop over the blockSize. */
-  while(blkCnt > 0u)
-  {
-    /* Copy new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Loop over the Interpolation factor. */
-    i = S->L;
-
-    while(i > 0u)
-    {
-      /* Set accumulator to zero */
-      sum = 0;
-
-      /* Initialize state pointer */
-      ptr1 = pState;
-
-      /* Initialize coefficient pointer */
-      ptr2 = pCoeffs + (i - 1u);
-
-      /* Loop over the polyPhase length */
-      tapCnt = (uint32_t) phaseLen;
-
-      while(tapCnt > 0u)
-      {
-        /* Read the coefficient */
-        c0 = *ptr2;
-
-        /* Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* Read the input sample */
-        x0 = *ptr1++;
-
-        /* Perform the multiply-accumulate */
-        sum += ((q31_t) x0 * c0);
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      /* Store the result after converting to 1.15 format in the destination buffer */
-      *pDst++ = (q15_t) (__SSAT((sum >> 15), 16));
-
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* Advance the state pointer by 1           
-     * to process the next group of interpolation factor number samples */
-    pState = pState + 1;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Processing is complete.         
-   ** Now copy the last phaseLen - 1 samples to the start of the state buffer.       
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  i = (uint32_t) phaseLen - 1u;
-
-  while(i > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-
-}
-
-#endif /*   #ifndef ARM_MATH_CM0 */
-
-
- /**    
-  * @} end of FIR_Interpolate group    
-  */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_q31.c
deleted file mode 100644
index 689b4d337..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_q31.c
+++ /dev/null
@@ -1,499 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_fir_interpolate_q31.c    
-*    
-* Description:	Q31 FIR interpolation.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_Interpolate    
- * @{    
- */
-
-/**    
- * @brief Processing function for the Q31 FIR interpolator.    
- * @param[in] *S        points to an instance of the Q31 FIR interpolator structure.    
- * @param[in] *pSrc     points to the block of input data.    
- * @param[out] *pDst    points to the block of output data.    
- * @param[in] blockSize number of input samples to process per call.    
- * @return none.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function is implemented using an internal 64-bit accumulator.    
- * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.    
- * Thus, if the accumulator result overflows it wraps around rather than clip.    
- * In order to avoid overflows completely the input signal must be scaled down by 1/(numTaps/L).    
- * since numTaps/L additions occur per output sample.    
- * After all multiply-accumulates are performed, the 2.62 accumulator is truncated to 1.32 format and then saturated to 1.31 format.    
- */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-void arm_fir_interpolate_q31(
-  const arm_fir_interpolate_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize)
-{
-  q31_t *pState = S->pState;                     /* State pointer */
-  q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q31_t *pStateCurnt;                            /* Points to the current sample of the state */
-  q31_t *ptr1, *ptr2;                            /* Temporary pointers for state and coefficient buffers */
-  q63_t sum0;                                    /* Accumulators */
-  q31_t x0, c0;                                  /* Temporary variables to hold state and coefficient values */
-  uint32_t i, blkCnt, j;                         /* Loop counters */
-  uint16_t phaseLen = S->phaseLength, tapCnt;    /* Length of each polyphase filter component */
-
-  uint32_t blkCntN2;
-  q63_t acc0, acc1;
-  q31_t x1;
-
-  /* S->pState buffer contains previous frame (phaseLen - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = S->pState + ((q31_t) phaseLen - 1);
-
-  /* Initialise  blkCnt */
-  blkCnt = blockSize / 2;
-  blkCntN2 = blockSize - (2 * blkCnt);
-
-  /* Samples loop unrolled by 2 */
-  while(blkCnt > 0u)
-  {
-    /* Copy new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-
-    /* Address modifier index of coefficient buffer */
-    j = 1u;
-
-    /* Loop over the Interpolation factor. */
-    i = (S->L);
-
-    while(i > 0u)
-    {
-      /* Set accumulator to zero */
-      acc0 = 0;
-      acc1 = 0;
-
-      /* Initialize state pointer */
-      ptr1 = pState;
-
-      /* Initialize coefficient pointer */
-      ptr2 = pCoeffs + (S->L - j);
-
-      /* Loop over the polyPhase length. Unroll by a factor of 4.        
-       ** Repeat until we've computed numTaps-(4*S->L) coefficients. */
-      tapCnt = phaseLen >> 2u;
-
-      x0 = *(ptr1++);
-
-      while(tapCnt > 0u)
-      {
-
-        /* Read the input sample */
-        x1 = *(ptr1++);
-
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Perform the multiply-accumulate */
-        acc0 += (q63_t) x0 *c0;
-        acc1 += (q63_t) x1 *c0;
-
-
-        /* Read the coefficient */
-        c0 = *(ptr2 + S->L);
-
-        /* Read the input sample */
-        x0 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        acc0 += (q63_t) x1 *c0;
-        acc1 += (q63_t) x0 *c0;
-
-
-        /* Read the coefficient */
-        c0 = *(ptr2 + S->L * 2);
-
-        /* Read the input sample */
-        x1 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        acc0 += (q63_t) x0 *c0;
-        acc1 += (q63_t) x1 *c0;
-
-        /* Read the coefficient */
-        c0 = *(ptr2 + S->L * 3);
-
-        /* Read the input sample */
-        x0 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        acc0 += (q63_t) x1 *c0;
-        acc1 += (q63_t) x0 *c0;
-
-
-        /* Upsampling is done by stuffing L-1 zeros between each sample.        
-         * So instead of multiplying zeros with coefficients,        
-         * Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += 4 * S->L;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */
-      tapCnt = phaseLen % 0x4u;
-
-      while(tapCnt > 0u)
-      {
-
-        /* Read the input sample */
-        x1 = *(ptr1++);
-
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Perform the multiply-accumulate */
-        acc0 += (q63_t) x0 *c0;
-        acc1 += (q63_t) x1 *c0;
-
-        /* Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* update states for next sample processing */
-        x0 = x1;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      /* The result is in the accumulator, store in the destination buffer. */
-      *pDst = (q31_t) (acc0 >> 31);
-      *(pDst + S->L) = (q31_t) (acc1 >> 31);
-
-
-      pDst++;
-
-      /* Increment the address modifier index of coefficient buffer */
-      j++;
-
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* Advance the state pointer by 1        
-     * to process the next group of interpolation factor number samples */
-    pState = pState + 2;
-
-    pDst += S->L;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 2, compute any remaining output samples here.        
-   ** No loop unrolling is used. */
-  blkCnt = blkCntN2;
-
-  /* Loop over the blockSize. */
-  while(blkCnt > 0u)
-  {
-    /* Copy new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Address modifier index of coefficient buffer */
-    j = 1u;
-
-    /* Loop over the Interpolation factor. */
-    i = S->L;
-    while(i > 0u)
-    {
-      /* Set accumulator to zero */
-      sum0 = 0;
-
-      /* Initialize state pointer */
-      ptr1 = pState;
-
-      /* Initialize coefficient pointer */
-      ptr2 = pCoeffs + (S->L - j);
-
-      /* Loop over the polyPhase length. Unroll by a factor of 4.        
-       ** Repeat until we've computed numTaps-(4*S->L) coefficients. */
-      tapCnt = phaseLen >> 2;
-      while(tapCnt > 0u)
-      {
-
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Upsampling is done by stuffing L-1 zeros between each sample.        
-         * So instead of multiplying zeros with coefficients,        
-         * Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* Read the input sample */
-        x0 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        sum0 += (q63_t) x0 *c0;
-
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* Read the input sample */
-        x0 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        sum0 += (q63_t) x0 *c0;
-
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* Read the input sample */
-        x0 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        sum0 += (q63_t) x0 *c0;
-
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* Read the input sample */
-        x0 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        sum0 += (q63_t) x0 *c0;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */
-      tapCnt = phaseLen & 0x3u;
-
-      while(tapCnt > 0u)
-      {
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* Read the input sample */
-        x0 = *(ptr1++);
-
-        /* Perform the multiply-accumulate */
-        sum0 += (q63_t) x0 *c0;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      /* The result is in the accumulator, store in the destination buffer. */
-      *pDst++ = (q31_t) (sum0 >> 31);
-
-      /* Increment the address modifier index of coefficient buffer */
-      j++;
-
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* Advance the state pointer by 1        
-     * to process the next group of interpolation factor number samples */
-    pState = pState + 1;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Processing is complete.        
-   ** Now copy the last phaseLen - 1 samples to the satrt of the state buffer.        
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  tapCnt = (phaseLen - 1u) >> 2u;
-
-  /* copy data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-  tapCnt = (phaseLen - 1u) % 0x04u;
-
-  /* copy data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-}
-
-
-#else
-
-void arm_fir_interpolate_q31(
-  const arm_fir_interpolate_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize)
-{
-  q31_t *pState = S->pState;                     /* State pointer */
-  q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q31_t *pStateCurnt;                            /* Points to the current sample of the state */
-  q31_t *ptr1, *ptr2;                            /* Temporary pointers for state and coefficient buffers */
-
-  /* Run the below code for Cortex-M0 */
-
-  q63_t sum;                                     /* Accumulator */
-  q31_t x0, c0;                                  /* Temporary variables to hold state and coefficient values */
-  uint32_t i, blkCnt;                            /* Loop counters */
-  uint16_t phaseLen = S->phaseLength, tapCnt;    /* Length of each polyphase filter component */
-
-
-  /* S->pState buffer contains previous frame (phaseLen - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = S->pState + ((q31_t) phaseLen - 1);
-
-  /* Total number of intput samples */
-  blkCnt = blockSize;
-
-  /* Loop over the blockSize. */
-  while(blkCnt > 0u)
-  {
-    /* Copy new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Loop over the Interpolation factor. */
-    i = S->L;
-
-    while(i > 0u)
-    {
-      /* Set accumulator to zero */
-      sum = 0;
-
-      /* Initialize state pointer */
-      ptr1 = pState;
-
-      /* Initialize coefficient pointer */
-      ptr2 = pCoeffs + (i - 1u);
-
-      tapCnt = phaseLen;
-
-      while(tapCnt > 0u)
-      {
-        /* Read the coefficient */
-        c0 = *(ptr2);
-
-        /* Increment the coefficient pointer by interpolation factor times. */
-        ptr2 += S->L;
-
-        /* Read the input sample */
-        x0 = *ptr1++;
-
-        /* Perform the multiply-accumulate */
-        sum += (q63_t) x0 *c0;
-
-        /* Decrement the loop counter */
-        tapCnt--;
-      }
-
-      /* The result is in the accumulator, store in the destination buffer. */
-      *pDst++ = (q31_t) (sum >> 31);
-
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* Advance the state pointer by 1           
-     * to process the next group of interpolation factor number samples */
-    pState = pState + 1;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Processing is complete.         
-   ** Now copy the last phaseLen - 1 samples to the satrt of the state buffer.       
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  tapCnt = phaseLen - 1u;
-
-  /* copy data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-}
-
-#endif /*   #ifndef ARM_MATH_CM0 */
-
- /**    
-  * @} end of FIR_Interpolate group    
-  */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_f32.c
deleted file mode 100644
index 3745ffb6a..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_f32.c
+++ /dev/null
@@ -1,499 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_fir_lattice_f32.c    
-*    
-* Description:	Processing function for the floating-point FIR Lattice filter.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @defgroup FIR_Lattice Finite Impulse Response (FIR) Lattice Filters    
- *    
- * This set of functions implements Finite Impulse Response (FIR) lattice filters    
- * for Q15, Q31 and floating-point data types.  Lattice filters are used in a     
- * variety of adaptive filter applications.  The filter structure is feedforward and    
- * the net impulse response is finite length.    
- * The functions operate on blocks    
- * of input and output data and each call to the function processes    
- * blockSize samples through the filter.  pSrc and    
- * pDst point to input and output arrays containing blockSize values.    
- *    
- * \par Algorithm:    
- * \image html FIRLattice.gif "Finite Impulse Response Lattice filter"    
- * The following difference equation is implemented:    
- * 
    
- *    f0[n] = g0[n] = x[n]    
- *    fm[n] = fm-1[n] + km * gm-1[n-1] for m = 1, 2, ...M    
- *    gm[n] = km * fm-1[n] + gm-1[n-1] for m = 1, 2, ...M    
- *    y[n] = fM[n]    
- * 
    
- * \par    
- * pCoeffs points to tha array of reflection coefficients of size numStages.    
- * Reflection Coefficients are stored in the following order.    
- * \par    
- * 
    
- *    {k1, k2, ..., kM}    
- * 
    
- * where M is number of stages    
- * \par    
- * pState points to a state array of size numStages.    
- * The state variables (g values) hold previous inputs and are stored in the following order.    
- * 
    
- *    {g0[n], g1[n], g2[n] ...gM-1[n]}    
- * 
    
- * The state variables are updated after each block of data is processed; the coefficients are untouched.    
- * \par Instance Structure    
- * The coefficients and state variables for a filter are stored together in an instance data structure.    
- * A separate instance structure must be defined for each filter.    
- * Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.    
- * There are separate instance structure declarations for each of the 3 supported data types.    
- *    
- * \par Initialization Functions    
- * There is also an associated initialization function for each data type.    
- * The initialization function performs the following operations:    
- * - Sets the values of the internal structure fields.    
- * - Zeros out the values in the state buffer.    
- *    
- * \par    
- * Use of the initialization function is optional.    
- * However, if the initialization function is used, then the instance structure cannot be placed into a const data section.    
- * To place an instance structure into a const data section, the instance structure must be manually initialized.    
- * Set the values in the state buffer to zeros and then manually initialize the instance structure as follows:    
- * 
    
- *arm_fir_lattice_instance_f32 S = {numStages, pState, pCoeffs};    
- *arm_fir_lattice_instance_q31 S = {numStages, pState, pCoeffs};    
- *arm_fir_lattice_instance_q15 S = {numStages, pState, pCoeffs};    
- * 
    
- * \par    
- * where numStages is the number of stages in the filter; pState is the address of the state buffer;    
- * pCoeffs is the address of the coefficient buffer.    
- * \par Fixed-Point Behavior    
- * Care must be taken when using the fixed-point versions of the FIR Lattice filter functions.    
- * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.    
- * Refer to the function specific documentation below for usage guidelines.    
- */
-
-/**    
- * @addtogroup FIR_Lattice    
- * @{    
- */
-
-
-  /**    
-   * @brief Processing function for the floating-point FIR lattice filter.    
-   * @param[in]  *S        points to an instance of the floating-point FIR lattice structure.    
-   * @param[in]  *pSrc     points to the block of input data.    
-   * @param[out] *pDst     points to the block of output data    
-   * @param[in]  blockSize number of samples to process.    
-   * @return none.    
-   */
-
-void arm_fir_lattice_f32(
-  const arm_fir_lattice_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize)
-{
-  float32_t *pState;                             /* State pointer */
-  float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
-  float32_t *px;                                 /* temporary state pointer */
-  float32_t *pk;                                 /* temporary coefficient pointer */
-
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  float32_t fcurr1, fnext1, gcurr1, gnext1;      /* temporary variables for first sample in loop unrolling */
-  float32_t fcurr2, fnext2, gnext2;              /* temporary variables for second sample in loop unrolling */
-  float32_t fcurr3, fnext3, gnext3;              /* temporary variables for third sample in loop unrolling */
-  float32_t fcurr4, fnext4, gnext4;              /* temporary variables for fourth sample in loop unrolling */
-  uint32_t numStages = S->numStages;             /* Number of stages in the filter */
-  uint32_t blkCnt, stageCnt;                     /* temporary variables for counts */
-
-  gcurr1 = 0.0f;
-  pState = &S->pState[0];
-
-  blkCnt = blockSize >> 2;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-     a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-
-    /* Read two samples from input buffer */
-    /* f0(n) = x(n) */
-    fcurr1 = *pSrc++;
-    fcurr2 = *pSrc++;
-
-    /* Initialize coeff pointer */
-    pk = (pCoeffs);
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Read g0(n-1) from state */
-    gcurr1 = *px;
-
-    /* Process first sample for first tap */
-    /* f1(n) = f0(n) +  K1 * g0(n-1) */
-    fnext1 = fcurr1 + ((*pk) * gcurr1);
-    /* g1(n) = f0(n) * K1  +  g0(n-1) */
-    gnext1 = (fcurr1 * (*pk)) + gcurr1;
-
-    /* Process second sample for first tap */
-    /* for sample 2 processing */
-    fnext2 = fcurr2 + ((*pk) * fcurr1);
-    gnext2 = (fcurr2 * (*pk)) + fcurr1;
-
-    /* Read next two samples from input buffer */
-    /* f0(n+2) = x(n+2) */
-    fcurr3 = *pSrc++;
-    fcurr4 = *pSrc++;
-
-    /* Copy only last input samples into the state buffer    
-       which will be used for next four samples processing */
-    *px++ = fcurr4;
-
-    /* Process third sample for first tap */
-    fnext3 = fcurr3 + ((*pk) * fcurr2);
-    gnext3 = (fcurr3 * (*pk)) + fcurr2;
-
-    /* Process fourth sample for first tap */
-    fnext4 = fcurr4 + ((*pk) * fcurr3);
-    gnext4 = (fcurr4 * (*pk++)) + fcurr3;
-
-    /* Update of f values for next coefficient set processing */
-    fcurr1 = fnext1;
-    fcurr2 = fnext2;
-    fcurr3 = fnext3;
-    fcurr4 = fnext4;
-
-    /* Loop unrolling.  Process 4 taps at a time . */
-    stageCnt = (numStages - 1u) >> 2u;
-
-    /* Loop over the number of taps.  Unroll by a factor of 4.    
-     ** Repeat until we've computed numStages-3 coefficients. */
-
-    /* Process 2nd, 3rd, 4th and 5th taps ... here */
-    while(stageCnt > 0u)
-    {
-      /* Read g1(n-1), g3(n-1) .... from state */
-      gcurr1 = *px;
-
-      /* save g1(n) in state buffer */
-      *px++ = gnext4;
-
-      /* Process first sample for 2nd, 6th .. tap */
-      /* Sample processing for K2, K6.... */
-      /* f2(n) = f1(n) +  K2 * g1(n-1) */
-      fnext1 = fcurr1 + ((*pk) * gcurr1);
-      /* Process second sample for 2nd, 6th .. tap */
-      /* for sample 2 processing */
-      fnext2 = fcurr2 + ((*pk) * gnext1);
-      /* Process third sample for 2nd, 6th .. tap */
-      fnext3 = fcurr3 + ((*pk) * gnext2);
-      /* Process fourth sample for 2nd, 6th .. tap */
-      fnext4 = fcurr4 + ((*pk) * gnext3);
-
-      /* g2(n) = f1(n) * K2  +  g1(n-1) */
-      /* Calculation of state values for next stage */
-      gnext4 = (fcurr4 * (*pk)) + gnext3;
-      gnext3 = (fcurr3 * (*pk)) + gnext2;
-      gnext2 = (fcurr2 * (*pk)) + gnext1;
-      gnext1 = (fcurr1 * (*pk++)) + gcurr1;
-
-
-      /* Read g2(n-1), g4(n-1) .... from state */
-      gcurr1 = *px;
-
-      /* save g2(n) in state buffer */
-      *px++ = gnext4;
-
-      /* Sample processing for K3, K7.... */
-      /* Process first sample for 3rd, 7th .. tap */
-      /* f3(n) = f2(n) +  K3 * g2(n-1) */
-      fcurr1 = fnext1 + ((*pk) * gcurr1);
-      /* Process second sample for 3rd, 7th .. tap */
-      fcurr2 = fnext2 + ((*pk) * gnext1);
-      /* Process third sample for 3rd, 7th .. tap */
-      fcurr3 = fnext3 + ((*pk) * gnext2);
-      /* Process fourth sample for 3rd, 7th .. tap */
-      fcurr4 = fnext4 + ((*pk) * gnext3);
-
-      /* Calculation of state values for next stage */
-      /* g3(n) = f2(n) * K3  +  g2(n-1) */
-      gnext4 = (fnext4 * (*pk)) + gnext3;
-      gnext3 = (fnext3 * (*pk)) + gnext2;
-      gnext2 = (fnext2 * (*pk)) + gnext1;
-      gnext1 = (fnext1 * (*pk++)) + gcurr1;
-
-
-      /* Read g1(n-1), g3(n-1) .... from state */
-      gcurr1 = *px;
-
-      /* save g3(n) in state buffer */
-      *px++ = gnext4;
-
-      /* Sample processing for K4, K8.... */
-      /* Process first sample for 4th, 8th .. tap */
-      /* f4(n) = f3(n) +  K4 * g3(n-1) */
-      fnext1 = fcurr1 + ((*pk) * gcurr1);
-      /* Process second sample for 4th, 8th .. tap */
-      /* for sample 2 processing */
-      fnext2 = fcurr2 + ((*pk) * gnext1);
-      /* Process third sample for 4th, 8th .. tap */
-      fnext3 = fcurr3 + ((*pk) * gnext2);
-      /* Process fourth sample for 4th, 8th .. tap */
-      fnext4 = fcurr4 + ((*pk) * gnext3);
-
-      /* g4(n) = f3(n) * K4  +  g3(n-1) */
-      /* Calculation of state values for next stage */
-      gnext4 = (fcurr4 * (*pk)) + gnext3;
-      gnext3 = (fcurr3 * (*pk)) + gnext2;
-      gnext2 = (fcurr2 * (*pk)) + gnext1;
-      gnext1 = (fcurr1 * (*pk++)) + gcurr1;
-
-      /* Read g2(n-1), g4(n-1) .... from state */
-      gcurr1 = *px;
-
-      /* save g4(n) in state buffer */
-      *px++ = gnext4;
-
-      /* Sample processing for K5, K9.... */
-      /* Process first sample for 5th, 9th .. tap */
-      /* f5(n) = f4(n) +  K5 * g4(n-1) */
-      fcurr1 = fnext1 + ((*pk) * gcurr1);
-      /* Process second sample for 5th, 9th .. tap */
-      fcurr2 = fnext2 + ((*pk) * gnext1);
-      /* Process third sample for 5th, 9th .. tap */
-      fcurr3 = fnext3 + ((*pk) * gnext2);
-      /* Process fourth sample for 5th, 9th .. tap */
-      fcurr4 = fnext4 + ((*pk) * gnext3);
-
-      /* Calculation of state values for next stage */
-      /* g5(n) = f4(n) * K5  +  g4(n-1) */
-      gnext4 = (fnext4 * (*pk)) + gnext3;
-      gnext3 = (fnext3 * (*pk)) + gnext2;
-      gnext2 = (fnext2 * (*pk)) + gnext1;
-      gnext1 = (fnext1 * (*pk++)) + gcurr1;
-
-      stageCnt--;
-    }
-
-    /* If the (filter length -1) is not a multiple of 4, compute the remaining filter taps */
-    stageCnt = (numStages - 1u) % 0x4u;
-
-    while(stageCnt > 0u)
-    {
-      gcurr1 = *px;
-
-      /* save g value in state buffer */
-      *px++ = gnext4;
-
-      /* Process four samples for last three taps here */
-      fnext1 = fcurr1 + ((*pk) * gcurr1);
-      fnext2 = fcurr2 + ((*pk) * gnext1);
-      fnext3 = fcurr3 + ((*pk) * gnext2);
-      fnext4 = fcurr4 + ((*pk) * gnext3);
-
-      /* g1(n) = f0(n) * K1  +  g0(n-1) */
-      gnext4 = (fcurr4 * (*pk)) + gnext3;
-      gnext3 = (fcurr3 * (*pk)) + gnext2;
-      gnext2 = (fcurr2 * (*pk)) + gnext1;
-      gnext1 = (fcurr1 * (*pk++)) + gcurr1;
-
-      /* Update of f values for next coefficient set processing */
-      fcurr1 = fnext1;
-      fcurr2 = fnext2;
-      fcurr3 = fnext3;
-      fcurr4 = fnext4;
-
-      stageCnt--;
-
-    }
-
-    /* The results in the 4 accumulators, store in the destination buffer. */
-    /* y(n) = fN(n) */
-    *pDst++ = fcurr1;
-    *pDst++ = fcurr2;
-    *pDst++ = fcurr3;
-    *pDst++ = fcurr4;
-
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* f0(n) = x(n) */
-    fcurr1 = *pSrc++;
-
-    /* Initialize coeff pointer */
-    pk = (pCoeffs);
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* read g2(n) from state buffer */
-    gcurr1 = *px;
-
-    /* for sample 1 processing */
-    /* f1(n) = f0(n) +  K1 * g0(n-1) */
-    fnext1 = fcurr1 + ((*pk) * gcurr1);
-    /* g1(n) = f0(n) * K1  +  g0(n-1) */
-    gnext1 = (fcurr1 * (*pk++)) + gcurr1;
-
-    /* save g1(n) in state buffer */
-    *px++ = fcurr1;
-
-    /* f1(n) is saved in fcurr1    
-       for next stage processing */
-    fcurr1 = fnext1;
-
-    stageCnt = (numStages - 1u);
-
-    /* stage loop */
-    while(stageCnt > 0u)
-    {
-      /* read g2(n) from state buffer */
-      gcurr1 = *px;
-
-      /* save g1(n) in state buffer */
-      *px++ = gnext1;
-
-      /* Sample processing for K2, K3.... */
-      /* f2(n) = f1(n) +  K2 * g1(n-1) */
-      fnext1 = fcurr1 + ((*pk) * gcurr1);
-      /* g2(n) = f1(n) * K2  +  g1(n-1) */
-      gnext1 = (fcurr1 * (*pk++)) + gcurr1;
-
-      /* f1(n) is saved in fcurr1    
-         for next stage processing */
-      fcurr1 = fnext1;
-
-      stageCnt--;
-
-    }
-
-    /* y(n) = fN(n) */
-    *pDst++ = fcurr1;
-
-    blkCnt--;
-
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  float32_t fcurr, fnext, gcurr, gnext;          /* temporary variables */
-  uint32_t numStages = S->numStages;             /* Length of the filter */
-  uint32_t blkCnt, stageCnt;                     /* temporary variables for counts */
-
-  pState = &S->pState[0];
-
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* f0(n) = x(n) */
-    fcurr = *pSrc++;
-
-    /* Initialize coeff pointer */
-    pk = pCoeffs;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* read g0(n-1) from state buffer */
-    gcurr = *px;
-
-    /* for sample 1 processing */
-    /* f1(n) = f0(n) +  K1 * g0(n-1) */
-    fnext = fcurr + ((*pk) * gcurr);
-    /* g1(n) = f0(n) * K1  +  g0(n-1) */
-    gnext = (fcurr * (*pk++)) + gcurr;
-
-    /* save f0(n) in state buffer */
-    *px++ = fcurr;
-
-    /* f1(n) is saved in fcurr            
-       for next stage processing */
-    fcurr = fnext;
-
-    stageCnt = (numStages - 1u);
-
-    /* stage loop */
-    while(stageCnt > 0u)
-    {
-      /* read g2(n) from state buffer */
-      gcurr = *px;
-
-      /* save g1(n) in state buffer */
-      *px++ = gnext;
-
-      /* Sample processing for K2, K3.... */
-      /* f2(n) = f1(n) +  K2 * g1(n-1) */
-      fnext = fcurr + ((*pk) * gcurr);
-      /* g2(n) = f1(n) * K2  +  g1(n-1) */
-      gnext = (fcurr * (*pk++)) + gcurr;
-
-      /* f1(n) is saved in fcurr1            
-         for next stage processing */
-      fcurr = fnext;
-
-      stageCnt--;
-
-    }
-
-    /* y(n) = fN(n) */
-    *pDst++ = fcurr;
-
-    blkCnt--;
-
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0 */
-
-}
-
-/**    
- * @} end of FIR_Lattice group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_init_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_init_f32.c
deleted file mode 100644
index a53ae92e2..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_init_f32.c
+++ /dev/null
@@ -1,78 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_fir_lattice_init_f32.c    
-*    
-* Description:  Floating-point FIR Lattice filter initialization function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_Lattice    
- * @{    
- */
-
-/**    
- * @brief Initialization function for the floating-point FIR lattice filter.    
- * @param[in] *S points to an instance of the floating-point FIR lattice structure.    
- * @param[in] numStages  number of filter stages.    
- * @param[in] *pCoeffs points to the coefficient buffer.  The array is of length numStages.    
- * @param[in] *pState points to the state buffer.  The array is of length numStages.    
- * @return none.    
- */
-
-void arm_fir_lattice_init_f32(
-  arm_fir_lattice_instance_f32 * S,
-  uint16_t numStages,
-  float32_t * pCoeffs,
-  float32_t * pState)
-{
-  /* Assign filter taps */
-  S->numStages = numStages;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Clear state buffer and size is always numStages */
-  memset(pState, 0, (numStages) * sizeof(float32_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-}
-
-/**    
- * @} end of FIR_Lattice group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_init_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_init_q15.c
deleted file mode 100644
index 8db498509..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_init_q15.c
+++ /dev/null
@@ -1,78 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_fir_lattice_init_q15.c    
-*    
-* Description:  Q15 FIR Lattice filter initialization function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_Lattice    
- * @{    
- */
-
-  /**    
-   * @brief Initialization function for the Q15 FIR lattice filter.    
-   * @param[in] *S points to an instance of the Q15 FIR lattice structure.    
-   * @param[in] numStages  number of filter stages.    
-   * @param[in] *pCoeffs points to the coefficient buffer.  The array is of length numStages.     
-   * @param[in] *pState points to the state buffer.  The array is of length numStages.     
-   * @return none.    
-   */
-
-void arm_fir_lattice_init_q15(
-  arm_fir_lattice_instance_q15 * S,
-  uint16_t numStages,
-  q15_t * pCoeffs,
-  q15_t * pState)
-{
-  /* Assign filter taps */
-  S->numStages = numStages;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Clear state buffer and size is always numStages */
-  memset(pState, 0, (numStages) * sizeof(q15_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-}
-
-/**    
- * @} end of FIR_Lattice group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_init_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_init_q31.c
deleted file mode 100644
index 035c5e056..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_init_q31.c
+++ /dev/null
@@ -1,78 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_fir_lattice_init_q31.c    
-*    
-* Description:  Q31 FIR lattice filter initialization function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_Lattice    
- * @{    
- */
-
-  /**    
-   * @brief Initialization function for the Q31 FIR lattice filter.    
-   * @param[in] *S points to an instance of the Q31 FIR lattice structure.    
-   * @param[in] numStages  number of filter stages.    
-   * @param[in] *pCoeffs points to the coefficient buffer.  The array is of length numStages.    
-   * @param[in] *pState points to the state buffer.   The array is of length numStages.    
-   * @return none.    
-   */
-
-void arm_fir_lattice_init_q31(
-  arm_fir_lattice_instance_q31 * S,
-  uint16_t numStages,
-  q31_t * pCoeffs,
-  q31_t * pState)
-{
-  /* Assign filter taps */
-  S->numStages = numStages;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Clear state buffer and size is always numStages */
-  memset(pState, 0, (numStages) * sizeof(q31_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-}
-
-/**    
- * @} end of FIR_Lattice group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_q15.c
deleted file mode 100644
index abfb33cf2..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_q15.c
+++ /dev/null
@@ -1,531 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_fir_lattice_q15.c    
-*    
-* Description:	Q15 FIR lattice filter processing function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_Lattice    
- * @{    
- */
-
-
-/**    
- * @brief Processing function for the Q15 FIR lattice filter.    
- * @param[in]  *S        points to an instance of the Q15 FIR lattice structure.    
- * @param[in]  *pSrc     points to the block of input data.    
- * @param[out] *pDst     points to the block of output data    
- * @param[in]  blockSize number of samples to process.    
- * @return none.    
- */
-
-void arm_fir_lattice_q15(
-  const arm_fir_lattice_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-  q15_t *pState;                                 /* State pointer */
-  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q15_t *px;                                     /* temporary state pointer */
-  q15_t *pk;                                     /* temporary coefficient pointer */
-
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q31_t fcurnt1, fnext1, gcurnt1 = 0, gnext1;    /* temporary variables for first sample in loop unrolling */
-  q31_t fcurnt2, fnext2, gnext2;                 /* temporary variables for second sample in loop unrolling */
-  q31_t fcurnt3, fnext3, gnext3;                 /* temporary variables for third sample in loop unrolling */
-  q31_t fcurnt4, fnext4, gnext4;                 /* temporary variables for fourth sample in loop unrolling */
-  uint32_t numStages = S->numStages;             /* Number of stages in the filter */
-  uint32_t blkCnt, stageCnt;                     /* temporary variables for counts */
-
-  pState = &S->pState[0];
-
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-
-    /* Read two samples from input buffer */
-    /* f0(n) = x(n) */
-    fcurnt1 = *pSrc++;
-    fcurnt2 = *pSrc++;
-
-    /* Initialize coeff pointer */
-    pk = (pCoeffs);
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Read g0(n-1) from state */
-    gcurnt1 = *px;
-
-    /* Process first sample for first tap */
-    /* f1(n) = f0(n) +  K1 * g0(n-1) */
-    fnext1 = (q31_t) ((gcurnt1 * (*pk)) >> 15u) + fcurnt1;
-    fnext1 = __SSAT(fnext1, 16);
-
-    /* g1(n) = f0(n) * K1  +  g0(n-1) */
-    gnext1 = (q31_t) ((fcurnt1 * (*pk)) >> 15u) + gcurnt1;
-    gnext1 = __SSAT(gnext1, 16);
-
-    /* Process second sample for first tap */
-    /* for sample 2 processing */
-    fnext2 = (q31_t) ((fcurnt1 * (*pk)) >> 15u) + fcurnt2;
-    fnext2 = __SSAT(fnext2, 16);
-
-    gnext2 = (q31_t) ((fcurnt2 * (*pk)) >> 15u) + fcurnt1;
-    gnext2 = __SSAT(gnext2, 16);
-
-
-    /* Read next two samples from input buffer */
-    /* f0(n+2) = x(n+2) */
-    fcurnt3 = *pSrc++;
-    fcurnt4 = *pSrc++;
-
-    /* Copy only last input samples into the state buffer    
-       which is used for next four samples processing */
-    *px++ = (q15_t) fcurnt4;
-
-    /* Process third sample for first tap */
-    fnext3 = (q31_t) ((fcurnt2 * (*pk)) >> 15u) + fcurnt3;
-    fnext3 = __SSAT(fnext3, 16);
-    gnext3 = (q31_t) ((fcurnt3 * (*pk)) >> 15u) + fcurnt2;
-    gnext3 = __SSAT(gnext3, 16);
-
-    /* Process fourth sample for first tap */
-    fnext4 = (q31_t) ((fcurnt3 * (*pk)) >> 15u) + fcurnt4;
-    fnext4 = __SSAT(fnext4, 16);
-    gnext4 = (q31_t) ((fcurnt4 * (*pk++)) >> 15u) + fcurnt3;
-    gnext4 = __SSAT(gnext4, 16);
-
-    /* Update of f values for next coefficient set processing */
-    fcurnt1 = fnext1;
-    fcurnt2 = fnext2;
-    fcurnt3 = fnext3;
-    fcurnt4 = fnext4;
-
-
-    /* Loop unrolling.  Process 4 taps at a time . */
-    stageCnt = (numStages - 1u) >> 2;
-
-
-    /* Loop over the number of taps.  Unroll by a factor of 4.    
-     ** Repeat until we've computed numStages-3 coefficients. */
-
-    /* Process 2nd, 3rd, 4th and 5th taps ... here */
-    while(stageCnt > 0u)
-    {
-      /* Read g1(n-1), g3(n-1) .... from state */
-      gcurnt1 = *px;
-
-      /* save g1(n) in state buffer */
-      *px++ = (q15_t) gnext4;
-
-      /* Process first sample for 2nd, 6th .. tap */
-      /* Sample processing for K2, K6.... */
-      /* f1(n) = f0(n) +  K1 * g0(n-1) */
-      fnext1 = (q31_t) ((gcurnt1 * (*pk)) >> 15u) + fcurnt1;
-      fnext1 = __SSAT(fnext1, 16);
-
-
-      /* Process second sample for 2nd, 6th .. tap */
-      /* for sample 2 processing */
-      fnext2 = (q31_t) ((gnext1 * (*pk)) >> 15u) + fcurnt2;
-      fnext2 = __SSAT(fnext2, 16);
-      /* Process third sample for 2nd, 6th .. tap */
-      fnext3 = (q31_t) ((gnext2 * (*pk)) >> 15u) + fcurnt3;
-      fnext3 = __SSAT(fnext3, 16);
-      /* Process fourth sample for 2nd, 6th .. tap */
-      /* fnext4 = fcurnt4 + (*pk) * gnext3; */
-      fnext4 = (q31_t) ((gnext3 * (*pk)) >> 15u) + fcurnt4;
-      fnext4 = __SSAT(fnext4, 16);
-
-      /* g1(n) = f0(n) * K1  +  g0(n-1) */
-      /* Calculation of state values for next stage */
-      gnext4 = (q31_t) ((fcurnt4 * (*pk)) >> 15u) + gnext3;
-      gnext4 = __SSAT(gnext4, 16);
-      gnext3 = (q31_t) ((fcurnt3 * (*pk)) >> 15u) + gnext2;
-      gnext3 = __SSAT(gnext3, 16);
-
-      gnext2 = (q31_t) ((fcurnt2 * (*pk)) >> 15u) + gnext1;
-      gnext2 = __SSAT(gnext2, 16);
-
-      gnext1 = (q31_t) ((fcurnt1 * (*pk++)) >> 15u) + gcurnt1;
-      gnext1 = __SSAT(gnext1, 16);
-
-
-      /* Read g2(n-1), g4(n-1) .... from state */
-      gcurnt1 = *px;
-
-      /* save g1(n) in state buffer */
-      *px++ = (q15_t) gnext4;
-
-      /* Sample processing for K3, K7.... */
-      /* Process first sample for 3rd, 7th .. tap */
-      /* f3(n) = f2(n) +  K3 * g2(n-1) */
-      fcurnt1 = (q31_t) ((gcurnt1 * (*pk)) >> 15u) + fnext1;
-      fcurnt1 = __SSAT(fcurnt1, 16);
-
-      /* Process second sample for 3rd, 7th .. tap */
-      fcurnt2 = (q31_t) ((gnext1 * (*pk)) >> 15u) + fnext2;
-      fcurnt2 = __SSAT(fcurnt2, 16);
-
-      /* Process third sample for 3rd, 7th .. tap */
-      fcurnt3 = (q31_t) ((gnext2 * (*pk)) >> 15u) + fnext3;
-      fcurnt3 = __SSAT(fcurnt3, 16);
-
-      /* Process fourth sample for 3rd, 7th .. tap */
-      fcurnt4 = (q31_t) ((gnext3 * (*pk)) >> 15u) + fnext4;
-      fcurnt4 = __SSAT(fcurnt4, 16);
-
-      /* Calculation of state values for next stage */
-      /* g3(n) = f2(n) * K3  +  g2(n-1) */
-      gnext4 = (q31_t) ((fnext4 * (*pk)) >> 15u) + gnext3;
-      gnext4 = __SSAT(gnext4, 16);
-
-      gnext3 = (q31_t) ((fnext3 * (*pk)) >> 15u) + gnext2;
-      gnext3 = __SSAT(gnext3, 16);
-
-      gnext2 = (q31_t) ((fnext2 * (*pk)) >> 15u) + gnext1;
-      gnext2 = __SSAT(gnext2, 16);
-
-      gnext1 = (q31_t) ((fnext1 * (*pk++)) >> 15u) + gcurnt1;
-      gnext1 = __SSAT(gnext1, 16);
-
-      /* Read g1(n-1), g3(n-1) .... from state */
-      gcurnt1 = *px;
-
-      /* save g1(n) in state buffer */
-      *px++ = (q15_t) gnext4;
-
-      /* Sample processing for K4, K8.... */
-      /* Process first sample for 4th, 8th .. tap */
-      /* f4(n) = f3(n) +  K4 * g3(n-1) */
-      fnext1 = (q31_t) ((gcurnt1 * (*pk)) >> 15u) + fcurnt1;
-      fnext1 = __SSAT(fnext1, 16);
-
-      /* Process second sample for 4th, 8th .. tap */
-      /* for sample 2 processing */
-      fnext2 = (q31_t) ((gnext1 * (*pk)) >> 15u) + fcurnt2;
-      fnext2 = __SSAT(fnext2, 16);
-
-      /* Process third sample for 4th, 8th .. tap */
-      fnext3 = (q31_t) ((gnext2 * (*pk)) >> 15u) + fcurnt3;
-      fnext3 = __SSAT(fnext3, 16);
-
-      /* Process fourth sample for 4th, 8th .. tap */
-      fnext4 = (q31_t) ((gnext3 * (*pk)) >> 15u) + fcurnt4;
-      fnext4 = __SSAT(fnext4, 16);
-
-      /* g4(n) = f3(n) * K4  +  g3(n-1) */
-      /* Calculation of state values for next stage */
-      gnext4 = (q31_t) ((fcurnt4 * (*pk)) >> 15u) + gnext3;
-      gnext4 = __SSAT(gnext4, 16);
-
-      gnext3 = (q31_t) ((fcurnt3 * (*pk)) >> 15u) + gnext2;
-      gnext3 = __SSAT(gnext3, 16);
-
-      gnext2 = (q31_t) ((fcurnt2 * (*pk)) >> 15u) + gnext1;
-      gnext2 = __SSAT(gnext2, 16);
-      gnext1 = (q31_t) ((fcurnt1 * (*pk++)) >> 15u) + gcurnt1;
-      gnext1 = __SSAT(gnext1, 16);
-
-
-      /* Read g2(n-1), g4(n-1) .... from state */
-      gcurnt1 = *px;
-
-      /* save g4(n) in state buffer */
-      *px++ = (q15_t) gnext4;
-
-      /* Sample processing for K5, K9.... */
-      /* Process first sample for 5th, 9th .. tap */
-      /* f5(n) = f4(n) +  K5 * g4(n-1) */
-      fcurnt1 = (q31_t) ((gcurnt1 * (*pk)) >> 15u) + fnext1;
-      fcurnt1 = __SSAT(fcurnt1, 16);
-
-      /* Process second sample for 5th, 9th .. tap */
-      fcurnt2 = (q31_t) ((gnext1 * (*pk)) >> 15u) + fnext2;
-      fcurnt2 = __SSAT(fcurnt2, 16);
-
-      /* Process third sample for 5th, 9th .. tap */
-      fcurnt3 = (q31_t) ((gnext2 * (*pk)) >> 15u) + fnext3;
-      fcurnt3 = __SSAT(fcurnt3, 16);
-
-      /* Process fourth sample for 5th, 9th .. tap */
-      fcurnt4 = (q31_t) ((gnext3 * (*pk)) >> 15u) + fnext4;
-      fcurnt4 = __SSAT(fcurnt4, 16);
-
-      /* Calculation of state values for next stage */
-      /* g5(n) = f4(n) * K5  +  g4(n-1) */
-      gnext4 = (q31_t) ((fnext4 * (*pk)) >> 15u) + gnext3;
-      gnext4 = __SSAT(gnext4, 16);
-      gnext3 = (q31_t) ((fnext3 * (*pk)) >> 15u) + gnext2;
-      gnext3 = __SSAT(gnext3, 16);
-      gnext2 = (q31_t) ((fnext2 * (*pk)) >> 15u) + gnext1;
-      gnext2 = __SSAT(gnext2, 16);
-      gnext1 = (q31_t) ((fnext1 * (*pk++)) >> 15u) + gcurnt1;
-      gnext1 = __SSAT(gnext1, 16);
-
-      stageCnt--;
-    }
-
-    /* If the (filter length -1) is not a multiple of 4, compute the remaining filter taps */
-    stageCnt = (numStages - 1u) % 0x4u;
-
-    while(stageCnt > 0u)
-    {
-      gcurnt1 = *px;
-
-      /* save g value in state buffer */
-      *px++ = (q15_t) gnext4;
-
-      /* Process four samples for last three taps here */
-      fnext1 = (q31_t) ((gcurnt1 * (*pk)) >> 15u) + fcurnt1;
-      fnext1 = __SSAT(fnext1, 16);
-      fnext2 = (q31_t) ((gnext1 * (*pk)) >> 15u) + fcurnt2;
-      fnext2 = __SSAT(fnext2, 16);
-
-      fnext3 = (q31_t) ((gnext2 * (*pk)) >> 15u) + fcurnt3;
-      fnext3 = __SSAT(fnext3, 16);
-
-      fnext4 = (q31_t) ((gnext3 * (*pk)) >> 15u) + fcurnt4;
-      fnext4 = __SSAT(fnext4, 16);
-
-      /* g1(n) = f0(n) * K1  +  g0(n-1) */
-      gnext4 = (q31_t) ((fcurnt4 * (*pk)) >> 15u) + gnext3;
-      gnext4 = __SSAT(gnext4, 16);
-      gnext3 = (q31_t) ((fcurnt3 * (*pk)) >> 15u) + gnext2;
-      gnext3 = __SSAT(gnext3, 16);
-      gnext2 = (q31_t) ((fcurnt2 * (*pk)) >> 15u) + gnext1;
-      gnext2 = __SSAT(gnext2, 16);
-      gnext1 = (q31_t) ((fcurnt1 * (*pk++)) >> 15u) + gcurnt1;
-      gnext1 = __SSAT(gnext1, 16);
-
-      /* Update of f values for next coefficient set processing */
-      fcurnt1 = fnext1;
-      fcurnt2 = fnext2;
-      fcurnt3 = fnext3;
-      fcurnt4 = fnext4;
-
-      stageCnt--;
-
-    }
-
-    /* The results in the 4 accumulators, store in the destination buffer. */
-    /* y(n) = fN(n) */
-
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-    *__SIMD32(pDst)++ = __PKHBT(fcurnt1, fcurnt2, 16);
-    *__SIMD32(pDst)++ = __PKHBT(fcurnt3, fcurnt4, 16);
-
-#else
-
-    *__SIMD32(pDst)++ = __PKHBT(fcurnt2, fcurnt1, 16);
-    *__SIMD32(pDst)++ = __PKHBT(fcurnt4, fcurnt3, 16);
-
-#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* f0(n) = x(n) */
-    fcurnt1 = *pSrc++;
-
-    /* Initialize coeff pointer */
-    pk = (pCoeffs);
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* read g2(n) from state buffer */
-    gcurnt1 = *px;
-
-    /* for sample 1 processing */
-    /* f1(n) = f0(n) +  K1 * g0(n-1) */
-    fnext1 = (((q31_t) gcurnt1 * (*pk)) >> 15u) + fcurnt1;
-    fnext1 = __SSAT(fnext1, 16);
-
-
-    /* g1(n) = f0(n) * K1  +  g0(n-1) */
-    gnext1 = (((q31_t) fcurnt1 * (*pk++)) >> 15u) + gcurnt1;
-    gnext1 = __SSAT(gnext1, 16);
-
-    /* save g1(n) in state buffer */
-    *px++ = (q15_t) fcurnt1;
-
-    /* f1(n) is saved in fcurnt1    
-       for next stage processing */
-    fcurnt1 = fnext1;
-
-    stageCnt = (numStages - 1u);
-
-    /* stage loop */
-    while(stageCnt > 0u)
-    {
-      /* read g2(n) from state buffer */
-      gcurnt1 = *px;
-
-      /* save g1(n) in state buffer */
-      *px++ = (q15_t) gnext1;
-
-      /* Sample processing for K2, K3.... */
-      /* f2(n) = f1(n) +  K2 * g1(n-1) */
-      fnext1 = (((q31_t) gcurnt1 * (*pk)) >> 15u) + fcurnt1;
-      fnext1 = __SSAT(fnext1, 16);
-
-      /* g2(n) = f1(n) * K2  +  g1(n-1) */
-      gnext1 = (((q31_t) fcurnt1 * (*pk++)) >> 15u) + gcurnt1;
-      gnext1 = __SSAT(gnext1, 16);
-
-
-      /* f1(n) is saved in fcurnt1    
-         for next stage processing */
-      fcurnt1 = fnext1;
-
-      stageCnt--;
-
-    }
-
-    /* y(n) = fN(n) */
-    *pDst++ = __SSAT(fcurnt1, 16);
-
-
-    blkCnt--;
-
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  q31_t fcurnt, fnext, gcurnt, gnext;            /* temporary variables */
-  uint32_t numStages = S->numStages;             /* Length of the filter */
-  uint32_t blkCnt, stageCnt;                     /* temporary variables for counts */
-
-  pState = &S->pState[0];
-
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* f0(n) = x(n) */
-    fcurnt = *pSrc++;
-
-    /* Initialize coeff pointer */
-    pk = (pCoeffs);
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* read g0(n-1) from state buffer */
-    gcurnt = *px;
-
-    /* for sample 1 processing */
-    /* f1(n) = f0(n) +  K1 * g0(n-1) */
-    fnext = ((gcurnt * (*pk)) >> 15u) + fcurnt;
-    fnext = __SSAT(fnext, 16);
-
-
-    /* g1(n) = f0(n) * K1  +  g0(n-1) */
-    gnext = ((fcurnt * (*pk++)) >> 15u) + gcurnt;
-    gnext = __SSAT(gnext, 16);
-
-    /* save f0(n) in state buffer */
-    *px++ = (q15_t) fcurnt;
-
-    /* f1(n) is saved in fcurnt            
-       for next stage processing */
-    fcurnt = fnext;
-
-    stageCnt = (numStages - 1u);
-
-    /* stage loop */
-    while(stageCnt > 0u)
-    {
-      /* read g1(n-1) from state buffer */
-      gcurnt = *px;
-
-      /* save g0(n-1) in state buffer */
-      *px++ = (q15_t) gnext;
-
-      /* Sample processing for K2, K3.... */
-      /* f2(n) = f1(n) +  K2 * g1(n-1) */
-      fnext = ((gcurnt * (*pk)) >> 15u) + fcurnt;
-      fnext = __SSAT(fnext, 16);
-
-      /* g2(n) = f1(n) * K2  +  g1(n-1) */
-      gnext = ((fcurnt * (*pk++)) >> 15u) + gcurnt;
-      gnext = __SSAT(gnext, 16);
-
-
-      /* f1(n) is saved in fcurnt            
-         for next stage processing */
-      fcurnt = fnext;
-
-      stageCnt--;
-
-    }
-
-    /* y(n) = fN(n) */
-    *pDst++ = __SSAT(fcurnt, 16);
-
-
-    blkCnt--;
-
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0 */
-
-}
-
-/**    
- * @} end of FIR_Lattice group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_q31.c
deleted file mode 100644
index 9fb46459d..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_q31.c
+++ /dev/null
@@ -1,348 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_fir_lattice_q31.c    
-*    
-* Description:	Q31 FIR lattice filter processing function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_Lattice    
- * @{    
- */
-
-
-/**    
- * @brief Processing function for the Q31 FIR lattice filter.    
- * @param[in]  *S        points to an instance of the Q31 FIR lattice structure.    
- * @param[in]  *pSrc     points to the block of input data.    
- * @param[out] *pDst     points to the block of output data    
- * @param[in]  blockSize number of samples to process.    
- * @return none.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- * In order to avoid overflows the input signal must be scaled down by 2*log2(numStages) bits.    
- */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-void arm_fir_lattice_q31(
-  const arm_fir_lattice_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize)
-{
-  q31_t *pState;                                 /* State pointer */
-  q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q31_t *px;                                     /* temporary state pointer */
-  q31_t *pk;                                     /* temporary coefficient pointer */
-  q31_t fcurr1, fnext1, gcurr1 = 0, gnext1;      /* temporary variables for first sample in loop unrolling */
-  q31_t fcurr2, fnext2, gnext2;                  /* temporary variables for second sample in loop unrolling */
-  uint32_t numStages = S->numStages;             /* Length of the filter */
-  uint32_t blkCnt, stageCnt;                     /* temporary variables for counts */
-  q31_t k;
-
-  pState = &S->pState[0];
-
-  blkCnt = blockSize >> 1u;
-
-  /* First part of the processing with loop unrolling.  Compute 2 outputs at a time.        
-     a second loop below computes the remaining 1 sample. */
-  while(blkCnt > 0u)
-  {
-    /* f0(n) = x(n) */
-    fcurr1 = *pSrc++;
-
-    /* f0(n) = x(n) */
-    fcurr2 = *pSrc++;
-
-    /* Initialize coeff pointer */
-    pk = (pCoeffs);
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* read g0(n - 1) from state buffer */
-    gcurr1 = *px;
-
-    /* Read the reflection coefficient */
-    k = *pk++;
-
-    /* for sample 1 processing */
-    /* f1(n) = f0(n) +  K1 * g0(n-1) */
-    fnext1 = (q31_t) (((q63_t) gcurr1 * k) >> 32);
-
-    /* g1(n) = f0(n) * K1  +  g0(n-1) */
-    gnext1 = (q31_t) (((q63_t) fcurr1 * (k)) >> 32);
-    fnext1 = fcurr1 + (fnext1 << 1u);
-    gnext1 = gcurr1 + (gnext1 << 1u);
-
-    /* for sample 1 processing */
-    /* f1(n) = f0(n) +  K1 * g0(n-1) */
-    fnext2 = (q31_t) (((q63_t) fcurr1 * k) >> 32);
-
-    /* g1(n) = f0(n) * K1  +  g0(n-1) */
-    gnext2 = (q31_t) (((q63_t) fcurr2 * (k)) >> 32);
-    fnext2 = fcurr2 + (fnext2 << 1u);
-    gnext2 = fcurr1 + (gnext2 << 1u);
-
-    /* save g1(n) in state buffer */
-    *px++ = fcurr2;
-
-    /* f1(n) is saved in fcurr1        
-       for next stage processing */
-    fcurr1 = fnext1;
-    fcurr2 = fnext2;
-
-    stageCnt = (numStages - 1u);
-
-    /* stage loop */
-    while(stageCnt > 0u)
-    {
-
-      /* Read the reflection coefficient */
-      k = *pk++;
-
-      /* read g2(n) from state buffer */
-      gcurr1 = *px;
-
-      /* save g1(n) in state buffer */
-      *px++ = gnext2;
-
-      /* Sample processing for K2, K3.... */
-      /* f2(n) = f1(n) +  K2 * g1(n-1) */
-      fnext1 = (q31_t) (((q63_t) gcurr1 * k) >> 32);
-      fnext2 = (q31_t) (((q63_t) gnext1 * k) >> 32);
-
-      fnext1 = fcurr1 + (fnext1 << 1u);
-      fnext2 = fcurr2 + (fnext2 << 1u);
-
-      /* g2(n) = f1(n) * K2  +  g1(n-1) */
-      gnext2 = (q31_t) (((q63_t) fcurr2 * (k)) >> 32);
-      gnext2 = gnext1 + (gnext2 << 1u);
-
-      /* g2(n) = f1(n) * K2  +  g1(n-1) */
-      gnext1 = (q31_t) (((q63_t) fcurr1 * (k)) >> 32);
-      gnext1 = gcurr1 + (gnext1 << 1u);
-
-      /* f1(n) is saved in fcurr1        
-         for next stage processing */
-      fcurr1 = fnext1;
-      fcurr2 = fnext2;
-
-      stageCnt--;
-
-    }
-
-    /* y(n) = fN(n) */
-    *pDst++ = fcurr1;
-    *pDst++ = fcurr2;
-
-    blkCnt--;
-
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.        
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x2u;
-
-  while(blkCnt > 0u)
-  {
-    /* f0(n) = x(n) */
-    fcurr1 = *pSrc++;
-
-    /* Initialize coeff pointer */
-    pk = (pCoeffs);
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* read g0(n - 1) from state buffer */
-    gcurr1 = *px;
-
-    /* Read the reflection coefficient */
-    k = *pk++;
-
-    /* for sample 1 processing */
-    /* f1(n) = f0(n) +  K1 * g0(n-1) */
-    fnext1 = (q31_t) (((q63_t) gcurr1 * k) >> 32);
-    fnext1 = fcurr1 + (fnext1 << 1u);
-
-    /* g1(n) = f0(n) * K1  +  g0(n-1) */
-    gnext1 = (q31_t) (((q63_t) fcurr1 * (k)) >> 32);
-    gnext1 = gcurr1 + (gnext1 << 1u);
-
-    /* save g1(n) in state buffer */
-    *px++ = fcurr1;
-
-    /* f1(n) is saved in fcurr1        
-       for next stage processing */
-    fcurr1 = fnext1;
-
-    stageCnt = (numStages - 1u);
-
-    /* stage loop */
-    while(stageCnt > 0u)
-    {
-      /* Read the reflection coefficient */
-      k = *pk++;
-
-      /* read g2(n) from state buffer */
-      gcurr1 = *px;
-
-      /* save g1(n) in state buffer */
-      *px++ = gnext1;
-
-      /* Sample processing for K2, K3.... */
-      /* f2(n) = f1(n) +  K2 * g1(n-1) */
-      fnext1 = (q31_t) (((q63_t) gcurr1 * k) >> 32);
-      fnext1 = fcurr1 + (fnext1 << 1u);
-
-      /* g2(n) = f1(n) * K2  +  g1(n-1) */
-      gnext1 = (q31_t) (((q63_t) fcurr1 * (k)) >> 32);
-      gnext1 = gcurr1 + (gnext1 << 1u);
-
-      /* f1(n) is saved in fcurr1        
-         for next stage processing */
-      fcurr1 = fnext1;
-
-      stageCnt--;
-
-    }
-
-
-    /* y(n) = fN(n) */
-    *pDst++ = fcurr1;
-
-    blkCnt--;
-
-  }
-
-
-}
-
-
-#else
-
-/* Run the below code for Cortex-M0 */
-
-void arm_fir_lattice_q31(
-  const arm_fir_lattice_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize)
-{
-  q31_t *pState;                                 /* State pointer */
-  q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q31_t *px;                                     /* temporary state pointer */
-  q31_t *pk;                                     /* temporary coefficient pointer */
-  q31_t fcurr, fnext, gcurr, gnext;              /* temporary variables */
-  uint32_t numStages = S->numStages;             /* Length of the filter */
-  uint32_t blkCnt, stageCnt;                     /* temporary variables for counts */
-
-  pState = &S->pState[0];
-
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* f0(n) = x(n) */
-    fcurr = *pSrc++;
-
-    /* Initialize coeff pointer */
-    pk = (pCoeffs);
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* read g0(n-1) from state buffer */
-    gcurr = *px;
-
-    /* for sample 1 processing */
-    /* f1(n) = f0(n) +  K1 * g0(n-1) */
-    fnext = (q31_t) (((q63_t) gcurr * (*pk)) >> 31) + fcurr;
-    /* g1(n) = f0(n) * K1  +  g0(n-1) */
-    gnext = (q31_t) (((q63_t) fcurr * (*pk++)) >> 31) + gcurr;
-    /* save g1(n) in state buffer */
-    *px++ = fcurr;
-
-    /* f1(n) is saved in fcurr1            
-       for next stage processing */
-    fcurr = fnext;
-
-    stageCnt = (numStages - 1u);
-
-    /* stage loop */
-    while(stageCnt > 0u)
-    {
-      /* read g2(n) from state buffer */
-      gcurr = *px;
-
-      /* save g1(n) in state buffer */
-      *px++ = gnext;
-
-      /* Sample processing for K2, K3.... */
-      /* f2(n) = f1(n) +  K2 * g1(n-1) */
-      fnext = (q31_t) (((q63_t) gcurr * (*pk)) >> 31) + fcurr;
-      /* g2(n) = f1(n) * K2  +  g1(n-1) */
-      gnext = (q31_t) (((q63_t) fcurr * (*pk++)) >> 31) + gcurr;
-
-      /* f1(n) is saved in fcurr1            
-         for next stage processing */
-      fcurr = fnext;
-
-      stageCnt--;
-
-    }
-
-    /* y(n) = fN(n) */
-    *pDst++ = fcurr;
-
-    blkCnt--;
-
-  }
-
-}
-
-#endif /*   #ifndef ARM_MATH_CM0 */
-
-
-/**    
- * @} end of FIR_Lattice group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_q15.c
deleted file mode 100644
index 368014f43..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_q15.c
+++ /dev/null
@@ -1,689 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_fir_q15.c    
-*    
-* Description:  Q15 FIR filter processing function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.5  2010/04/26     
-* 	 incorporated review comments and updated with latest CMSIS layer    
-*    
-* Version 0.0.3  2010/03/10     
-*    Initial version    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**       
- * @ingroup groupFilters       
- */
-
-/**       
- * @addtogroup FIR       
- * @{       
- */
-
-/**       
- * @brief Processing function for the Q15 FIR filter.       
- * @param[in] *S points to an instance of the Q15 FIR structure.       
- * @param[in] *pSrc points to the block of input data.       
- * @param[out] *pDst points to the block of output data.       
- * @param[in]  blockSize number of samples to process per call.       
- * @return none.       
- *   
- *   
- * \par Restrictions   
- *  If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE   
- *	In this case input, output, state buffers should be aligned by 32-bit   
- *   
- * Scaling and Overflow Behavior:       
- * \par       
- * The function is implemented using a 64-bit internal accumulator.       
- * Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result.       
- * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.       
- * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.       
- * After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits.       
- * Lastly, the accumulator is saturated to yield a result in 1.15 format.       
- *       
- * \par       
- * Refer to the function arm_fir_fast_q15() for a faster but less precise implementation of this function.       
- */
-
-#ifndef ARM_MATH_CM0
-
-/* Run the below code for Cortex-M4 and Cortex-M3 */
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-
-void arm_fir_q15(
-  const arm_fir_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-  q15_t *pState = S->pState;                     /* State pointer */
-  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q15_t *pStateCurnt;                            /* Points to the current sample of the state */
-  q15_t *px1;                                    /* Temporary q15 pointer for state buffer */
-  q15_t *pb;                                     /* Temporary pointer for coefficient buffer */
-  q31_t x0, x1, x2, x3, c0;                      /* Temporary variables to hold SIMD state and coefficient values */
-  q63_t acc0, acc1, acc2, acc3;                  /* Accumulators */
-  uint32_t numTaps = S->numTaps;                 /* Number of taps in the filter */
-  uint32_t tapCnt, blkCnt;                       /* Loop counters */
-
-
-  /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = &(S->pState[(numTaps - 1u)]);
-
-  /* Apply loop unrolling and compute 4 output values simultaneously.       
-   * The variables acc0 ... acc3 hold output values that are being computed:       
-   *       
-   *    acc0 =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]       
-   *    acc1 =  b[numTaps-1] * x[n-numTaps] +   b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]       
-   *    acc2 =  b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] +   b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]       
-   *    acc3 =  b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps]   +...+ b[0] * x[3]       
-   */
-
-  blkCnt = blockSize >> 2;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.       
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* Copy four new input samples into the state buffer.       
-     ** Use 32-bit SIMD to move the 16-bit data.  Only requires two copies. */
-    *__SIMD32(pStateCurnt)++ = *__SIMD32(pSrc)++;
-    *__SIMD32(pStateCurnt)++ = *__SIMD32(pSrc)++;
-
-    /* Set all accumulators to zero */
-    acc0 = 0;
-    acc1 = 0;
-    acc2 = 0;
-    acc3 = 0;
-
-    /* Initialize state pointer of type q15 */
-    px1 = pState;
-
-    /* Initialize coeff pointer of type q31 */
-    pb = pCoeffs;
-
-    /* Read the first two samples from the state buffer:  x[n-N], x[n-N-1] */
-    x0 = _SIMD32_OFFSET(px1);
-
-    /* Read the third and forth samples from the state buffer: x[n-N-1], x[n-N-2] */
-    x1 = _SIMD32_OFFSET(px1 + 1u);
-
-    px1 += 2u;
-
-    /* Loop over the number of taps.  Unroll by a factor of 4.       
-     ** Repeat until we've computed numTaps-4 coefficients. */
-    tapCnt = numTaps >> 2;
-
-    while(tapCnt > 0u)
-    {
-      /* Read the first two coefficients using SIMD:  b[N] and b[N-1] coefficients */
-      c0 = *__SIMD32(pb)++;
-
-      /* acc0 +=  b[N] * x[n-N] + b[N-1] * x[n-N-1] */
-      acc0 = __SMLALD(x0, c0, acc0);
-
-      /* acc1 +=  b[N] * x[n-N-1] + b[N-1] * x[n-N-2] */
-      acc1 = __SMLALD(x1, c0, acc1);
-
-      /* Read state x[n-N-2], x[n-N-3] */
-      x2 = _SIMD32_OFFSET(px1);
-
-      /* Read state x[n-N-3], x[n-N-4] */
-      x3 = _SIMD32_OFFSET(px1 + 1u);
-
-      /* acc2 +=  b[N] * x[n-N-2] + b[N-1] * x[n-N-3] */
-      acc2 = __SMLALD(x2, c0, acc2);
-
-      /* acc3 +=  b[N] * x[n-N-3] + b[N-1] * x[n-N-4] */
-      acc3 = __SMLALD(x3, c0, acc3);
-
-      /* Read coefficients b[N-2], b[N-3] */
-      c0 = *__SIMD32(pb)++;
-
-      /* acc0 +=  b[N-2] * x[n-N-2] + b[N-3] * x[n-N-3] */
-      acc0 = __SMLALD(x2, c0, acc0);
-
-      /* acc1 +=  b[N-2] * x[n-N-3] + b[N-3] * x[n-N-4] */
-      acc1 = __SMLALD(x3, c0, acc1);
-
-      /* Read state x[n-N-4], x[n-N-5] */
-      x0 = _SIMD32_OFFSET(px1 + 2u);
-
-      /* Read state x[n-N-5], x[n-N-6] */
-      x1 = _SIMD32_OFFSET(px1 + 3u);
-
-      /* acc2 +=  b[N-2] * x[n-N-4] + b[N-3] * x[n-N-5] */
-      acc2 = __SMLALD(x0, c0, acc2);
-
-      /* acc3 +=  b[N-2] * x[n-N-5] + b[N-3] * x[n-N-6] */
-      acc3 = __SMLALD(x1, c0, acc3);
-
-      px1 += 4u;
-
-      tapCnt--;
-
-    }
-
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps.       
-     ** This is always be 2 taps since the filter length is even. */
-    if((numTaps & 0x3u) != 0u)
-    {
-      /* Read 2 coefficients */
-      c0 = *__SIMD32(pb)++;
-
-      /* Fetch 4 state variables */
-      x2 = _SIMD32_OFFSET(px1);
-
-      x3 = _SIMD32_OFFSET(px1 + 1u);
-
-      /* Perform the multiply-accumulates */
-      acc0 = __SMLALD(x0, c0, acc0);
-
-      px1 += 2u;
-
-      acc1 = __SMLALD(x1, c0, acc1);
-      acc2 = __SMLALD(x2, c0, acc2);
-      acc3 = __SMLALD(x3, c0, acc3);
-    }
-
-    /* The results in the 4 accumulators are in 2.30 format.  Convert to 1.15 with saturation.       
-     ** Then store the 4 outputs in the destination buffer. */
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    *__SIMD32(pDst)++ =
-      __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16);
-    *__SIMD32(pDst)++ =
-      __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16);
-
-#else
-
-    *__SIMD32(pDst)++ =
-      __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16);
-    *__SIMD32(pDst)++ =
-      __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN       */
-
-
-
-    /* Advance the state pointer by 4 to process the next group of 4 samples */
-    pState = pState + 4;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.       
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-  while(blkCnt > 0u)
-  {
-    /* Copy two samples into state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Set the accumulator to zero */
-    acc0 = 0;
-
-    /* Initialize state pointer of type q15 */
-    px1 = pState;
-
-    /* Initialize coeff pointer of type q31 */
-    pb = pCoeffs;
-
-    tapCnt = numTaps >> 1;
-
-    do
-    {
-
-      c0 = *__SIMD32(pb)++;
-      x0 = *__SIMD32(px1)++;
-
-      acc0 = __SMLALD(x0, c0, acc0);
-      tapCnt--;
-    }
-    while(tapCnt > 0u);
-
-    /* The result is in 2.30 format.  Convert to 1.15 with saturation.       
-     ** Then store the output in the destination buffer. */
-    *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
-
-    /* Advance state pointer by 1 for the next sample */
-    pState = pState + 1;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Processing is complete.       
-   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.       
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  /* Calculation of count for copying integer writes */
-  tapCnt = (numTaps - 1u) >> 2;
-
-  while(tapCnt > 0u)
-  {
-
-    /* Copy state values to start of state buffer */
-    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
-    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
-
-    tapCnt--;
-
-  }
-
-  /* Calculation of count for remaining q15_t data */
-  tapCnt = (numTaps - 1u) % 0x4u;
-
-  /* copy remaining data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-}
-
-#else /* UNALIGNED_SUPPORT_DISABLE */
-
-void arm_fir_q15(
-  const arm_fir_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-  q15_t *pState = S->pState;                     /* State pointer */
-  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q15_t *pStateCurnt;                            /* Points to the current sample of the state */
-  q63_t acc0, acc1, acc2, acc3;                  /* Accumulators */
-  q15_t *pb;                                     /* Temporary pointer for coefficient buffer */
-  q15_t *px;                                     /* Temporary q31 pointer for SIMD state buffer accesses */
-  q31_t x0, x1, x2, c0;                          /* Temporary variables to hold SIMD state and coefficient values */
-  uint32_t numTaps = S->numTaps;                 /* Number of taps in the filter */
-  uint32_t tapCnt, blkCnt;                       /* Loop counters */
-
-
-  /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = &(S->pState[(numTaps - 1u)]);
-
-  /* Apply loop unrolling and compute 4 output values simultaneously.      
-   * The variables acc0 ... acc3 hold output values that are being computed:      
-   *      
-   *    acc0 =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]      
-   *    acc1 =  b[numTaps-1] * x[n-numTaps] +   b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]      
-   *    acc2 =  b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] +   b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]      
-   *    acc3 =  b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps]   +...+ b[0] * x[3]      
-   */
-
-  blkCnt = blockSize >> 2;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.      
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* Copy four new input samples into the state buffer.      
-     ** Use 32-bit SIMD to move the 16-bit data.  Only requires two copies. */
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-
-
-    /* Set all accumulators to zero */
-    acc0 = 0;
-    acc1 = 0;
-    acc2 = 0;
-    acc3 = 0;
-
-    /* Typecast q15_t pointer to q31_t pointer for state reading in q31_t */
-    px = pState;
-
-    /* Typecast q15_t pointer to q31_t pointer for coefficient reading in q31_t */
-    pb = pCoeffs;
-
-    /* Read the first two samples from the state buffer:  x[n-N], x[n-N-1] */
-    x0 = *__SIMD32(px)++;
-
-    /* Read the third and forth samples from the state buffer: x[n-N-2], x[n-N-3] */
-    x2 = *__SIMD32(px)++;
-
-    /* Loop over the number of taps.  Unroll by a factor of 4.      
-     ** Repeat until we've computed numTaps-(numTaps%4) coefficients. */
-    tapCnt = numTaps >> 2;
-
-    while(tapCnt > 0)
-    {
-      /* Read the first two coefficients using SIMD:  b[N] and b[N-1] coefficients */
-      c0 = *__SIMD32(pb)++;
-
-      /* acc0 +=  b[N] * x[n-N] + b[N-1] * x[n-N-1] */
-      acc0 = __SMLALD(x0, c0, acc0);
-
-      /* acc2 +=  b[N] * x[n-N-2] + b[N-1] * x[n-N-3] */
-      acc2 = __SMLALD(x2, c0, acc2);
-
-      /* pack  x[n-N-1] and x[n-N-2] */
-#ifndef ARM_MATH_BIG_ENDIAN
-      x1 = __PKHBT(x2, x0, 0);
-#else
-      x1 = __PKHBT(x0, x2, 0);
-#endif
-
-      /* Read state x[n-N-4], x[n-N-5] */
-      x0 = _SIMD32_OFFSET(px);
-
-      /* acc1 +=  b[N] * x[n-N-1] + b[N-1] * x[n-N-2] */
-      acc1 = __SMLALDX(x1, c0, acc1);
-
-      /* pack  x[n-N-3] and x[n-N-4] */
-#ifndef ARM_MATH_BIG_ENDIAN
-      x1 = __PKHBT(x0, x2, 0);
-#else
-      x1 = __PKHBT(x2, x0, 0);
-#endif
-
-      /* acc3 +=  b[N] * x[n-N-3] + b[N-1] * x[n-N-4] */
-      acc3 = __SMLALDX(x1, c0, acc3);
-
-      /* Read coefficients b[N-2], b[N-3] */
-      c0 = *__SIMD32(pb)++;
-
-      /* acc0 +=  b[N-2] * x[n-N-2] + b[N-3] * x[n-N-3] */
-      acc0 = __SMLALD(x2, c0, acc0);
-
-      /* Read state x[n-N-6], x[n-N-7] with offset */
-      x2 = _SIMD32_OFFSET(px + 2u);
-
-      /* acc2 +=  b[N-2] * x[n-N-4] + b[N-3] * x[n-N-5] */
-      acc2 = __SMLALD(x0, c0, acc2);
-
-      /* acc1 +=  b[N-2] * x[n-N-3] + b[N-3] * x[n-N-4] */
-      acc1 = __SMLALDX(x1, c0, acc1);
-
-      /* pack  x[n-N-5] and x[n-N-6] */
-#ifndef ARM_MATH_BIG_ENDIAN
-      x1 = __PKHBT(x2, x0, 0);
-#else
-      x1 = __PKHBT(x0, x2, 0);
-#endif
-
-      /* acc3 +=  b[N-2] * x[n-N-5] + b[N-3] * x[n-N-6] */
-      acc3 = __SMLALDX(x1, c0, acc3);
-
-      /* Update state pointer for next state reading */
-      px += 4u;
-
-      /* Decrement tap count */
-      tapCnt--;
-
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps.       
-     ** This is always be 2 taps since the filter length is even. */
-    if((numTaps & 0x3u) != 0u)
-    {
-
-      /* Read last two coefficients */
-      c0 = *__SIMD32(pb)++;
-
-      /* Perform the multiply-accumulates */
-      acc0 = __SMLALD(x0, c0, acc0);
-      acc2 = __SMLALD(x2, c0, acc2);
-
-      /* pack state variables */
-#ifndef ARM_MATH_BIG_ENDIAN
-      x1 = __PKHBT(x2, x0, 0);
-#else
-      x1 = __PKHBT(x0, x2, 0);
-#endif
-
-      /* Read last state variables */
-      x0 = *__SIMD32(px);
-
-      /* Perform the multiply-accumulates */
-      acc1 = __SMLALDX(x1, c0, acc1);
-
-      /* pack state variables */
-#ifndef ARM_MATH_BIG_ENDIAN
-      x1 = __PKHBT(x0, x2, 0);
-#else
-      x1 = __PKHBT(x2, x0, 0);
-#endif
-
-      /* Perform the multiply-accumulates */
-      acc3 = __SMLALDX(x1, c0, acc3);
-    }
-
-    /* The results in the 4 accumulators are in 2.30 format.  Convert to 1.15 with saturation.       
-     ** Then store the 4 outputs in the destination buffer. */
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    *__SIMD32(pDst)++ =
-      __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16);
-
-    *__SIMD32(pDst)++ =
-      __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16);
-
-#else
-
-    *__SIMD32(pDst)++ =
-      __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16);
-
-    *__SIMD32(pDst)++ =
-      __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN       */
-
-    /* Advance the state pointer by 4 to process the next group of 4 samples */
-    pState = pState + 4;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.      
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-  while(blkCnt > 0u)
-  {
-    /* Copy two samples into state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Set the accumulator to zero */
-    acc0 = 0;
-
-    /* Use SIMD to hold states and coefficients */
-    px = pState;
-    pb = pCoeffs;
-
-    tapCnt = numTaps >> 1u;
-
-    do
-    {
-      acc0 += (q31_t) * px++ * *pb++;
-	  acc0 += (q31_t) * px++ * *pb++;
-      tapCnt--;
-    }
-    while(tapCnt > 0u);
-
-    /* The result is in 2.30 format.  Convert to 1.15 with saturation.      
-     ** Then store the output in the destination buffer. */
-    *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
-
-    /* Advance state pointer by 1 for the next sample */
-    pState = pState + 1u;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Processing is complete.      
-   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.      
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  /* Calculation of count for copying integer writes */
-  tapCnt = (numTaps - 1u) >> 2;
-
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-    tapCnt--;
-
-  }
-
-  /* Calculation of count for remaining q15_t data */
-  tapCnt = (numTaps - 1u) % 0x4u;
-
-  /* copy remaining data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-}
-
-
-#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */
-
-#else /* ARM_MATH_CM0 */
-
-
-/* Run the below code for Cortex-M0 */
-
-void arm_fir_q15(
-  const arm_fir_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-  q15_t *pState = S->pState;                     /* State pointer */
-  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q15_t *pStateCurnt;                            /* Points to the current sample of the state */
-
-
-
-  q15_t *px;                                     /* Temporary pointer for state buffer */
-  q15_t *pb;                                     /* Temporary pointer for coefficient buffer */
-  q63_t acc;                                     /* Accumulator */
-  uint32_t numTaps = S->numTaps;                 /* Number of nTaps in the filter */
-  uint32_t tapCnt, blkCnt;                       /* Loop counters */
-
-  /* S->pState buffer contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = &(S->pState[(numTaps - 1u)]);
-
-  /* Initialize blkCnt with blockSize */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* Copy one sample at a time into state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Set the accumulator to zero */
-    acc = 0;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize Coefficient pointer */
-    pb = pCoeffs;
-
-    tapCnt = numTaps;
-
-    /* Perform the multiply-accumulates */
-    do
-    {
-      /* acc =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */
-      acc += (q31_t) * px++ * *pb++;
-      tapCnt--;
-    } while(tapCnt > 0u);
-
-    /* The result is in 2.30 format.  Convert to 1.15         
-     ** Then store the output in the destination buffer. */
-    *pDst++ = (q15_t) __SSAT((acc >> 15u), 16);
-
-    /* Advance state pointer by 1 for the next sample */
-    pState = pState + 1;
-
-    /* Decrement the samples loop counter */
-    blkCnt--;
-  }
-
-  /* Processing is complete.         
-   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.       
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  /* Copy numTaps number of values */
-  tapCnt = (numTaps - 1u);
-
-  /* copy data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-}
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-
-
-
-/**       
- * @} end of FIR group       
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_q31.c
deleted file mode 100644
index b3b84ec51..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_q31.c
+++ /dev/null
@@ -1,363 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_fir_q31.c    
-*    
-* Description:	Q31 FIR filter processing function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.5  2010/04/26     
-* 	 incorporated review comments and updated with latest CMSIS layer    
-*    
-* Version 0.0.3  2010/03/10     
-*    Initial version    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR    
- * @{    
- */
-
-/**    
- * @param[in] *S points to an instance of the Q31 FIR filter structure.    
- * @param[in] *pSrc points to the block of input data.    
- * @param[out] *pDst points to the block of output data.    
- * @param[in] blockSize number of samples to process per call.    
- * @return none.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function is implemented using an internal 64-bit accumulator.    
- * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.    
- * Thus, if the accumulator result overflows it wraps around rather than clip.    
- * In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits.    
- * After all multiply-accumulates are performed, the 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result.  
- *    
- * \par    
- * Refer to the function arm_fir_fast_q31() for a faster but less precise implementation of this filter for Cortex-M3 and Cortex-M4.    
- */
-
-void arm_fir_q31(
-  const arm_fir_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize)
-{
-  q31_t *pState = S->pState;                     /* State pointer */
-  q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q31_t *pStateCurnt;                            /* Points to the current sample of the state */
-
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q31_t x0, x1, x2;                              /* Temporary variables to hold state */
-  q31_t c0;                                      /* Temporary variable to hold coefficient value */
-  q31_t *px;                                     /* Temporary pointer for state */
-  q31_t *pb;                                     /* Temporary pointer for coefficient buffer */
-  q63_t acc0, acc1, acc2;                        /* Accumulators */
-  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
-  uint32_t i, tapCnt, blkCnt, tapCntN3;          /* Loop counters */
-
-  /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = &(S->pState[(numTaps - 1u)]);
-
-  /* Apply loop unrolling and compute 4 output values simultaneously.    
-   * The variables acc0 ... acc3 hold output values that are being computed:    
-   *    
-   *    acc0 =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]    
-   *    acc1 =  b[numTaps-1] * x[n-numTaps] +   b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]    
-   *    acc2 =  b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] +   b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]    
-   *    acc3 =  b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps]   +...+ b[0] * x[3]    
-   */
-  blkCnt = blockSize / 3;
-  blockSize = blockSize - (3 * blkCnt);
-
-  tapCnt = numTaps / 3;
-  tapCntN3 = numTaps - (3 * tapCnt);
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* Copy three new input samples into the state buffer */
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-
-    /* Set all accumulators to zero */
-    acc0 = 0;
-    acc1 = 0;
-    acc2 = 0;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize coefficient pointer */
-    pb = pCoeffs;
-
-    /* Read the first two samples from the state buffer:    
-     *  x[n-numTaps], x[n-numTaps-1] */
-    x0 = *(px++);
-    x1 = *(px++);
-
-    /* Loop unrolling.  Process 3 taps at a time. */
-    i = tapCnt;
-
-    while(i > 0u)
-    {
-      /* Read the b[numTaps] coefficient */
-      c0 = *pb;
-
-      /* Read x[n-numTaps-2] sample */
-      x2 = *(px++);
-
-      /* Perform the multiply-accumulates */
-      acc0 += ((q63_t) x0 * c0);
-      acc1 += ((q63_t) x1 * c0);
-      acc2 += ((q63_t) x2 * c0);
-
-      /* Read the coefficient and state */
-      c0 = *(pb + 1u);
-      x0 = *(px++);
-
-      /* Perform the multiply-accumulates */
-      acc0 += ((q63_t) x1 * c0);
-      acc1 += ((q63_t) x2 * c0);
-      acc2 += ((q63_t) x0 * c0);
-
-      /* Read the coefficient and state */
-      c0 = *(pb + 2u);
-      x1 = *(px++);
-
-      /* update coefficient pointer */
-      pb += 3u;
-
-      /* Perform the multiply-accumulates */
-      acc0 += ((q63_t) x2 * c0);
-      acc1 += ((q63_t) x0 * c0);
-      acc2 += ((q63_t) x1 * c0);
-
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* If the filter length is not a multiple of 3, compute the remaining filter taps */
-
-    i = tapCntN3;
-
-    while(i > 0u)
-    {
-      /* Read coefficients */
-      c0 = *(pb++);
-
-      /* Fetch 1 state variable */
-      x2 = *(px++);
-
-      /* Perform the multiply-accumulates */
-      acc0 += ((q63_t) x0 * c0);
-      acc1 += ((q63_t) x1 * c0);
-      acc2 += ((q63_t) x2 * c0);
-
-      /* Reuse the present sample states for next sample */
-      x0 = x1;
-      x1 = x2;
-
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* Advance the state pointer by 3 to process the next group of 3 samples */
-    pState = pState + 3;
-
-    /* The results in the 3 accumulators are in 2.30 format.  Convert to 1.31    
-     ** Then store the 3 outputs in the destination buffer. */
-    *pDst++ = (q31_t) (acc0 >> 31u);
-    *pDst++ = (q31_t) (acc1 >> 31u);
-    *pDst++ = (q31_t) (acc2 >> 31u);
-
-    /* Decrement the samples loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 3, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-
-  while(blockSize > 0u)
-  {
-    /* Copy one sample at a time into state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Set the accumulator to zero */
-    acc0 = 0;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize Coefficient pointer */
-    pb = (pCoeffs);
-
-    i = numTaps;
-
-    /* Perform the multiply-accumulates */
-    do
-    {
-      acc0 += (q63_t) * (px++) * (*(pb++));
-      i--;
-    } while(i > 0u);
-
-    /* The result is in 2.62 format.  Convert to 1.31    
-     ** Then store the output in the destination buffer. */
-    *pDst++ = (q31_t) (acc0 >> 31u);
-
-    /* Advance state pointer by 1 for the next sample */
-    pState = pState + 1;
-
-    /* Decrement the samples loop counter */
-    blockSize--;
-  }
-
-  /* Processing is complete.    
-   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.    
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  tapCnt = (numTaps - 1u) >> 2u;
-
-  /* copy data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-  /* Calculate remaining number of copies */
-  tapCnt = (numTaps - 1u) % 0x4u;
-
-  /* Copy the remaining q31_t data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-#else
-
-/* Run the below code for Cortex-M0 */
-
-  q31_t *px;                                     /* Temporary pointer for state */
-  q31_t *pb;                                     /* Temporary pointer for coefficient buffer */
-  q63_t acc;                                     /* Accumulator */
-  uint32_t numTaps = S->numTaps;                 /* Length of the filter */
-  uint32_t i, tapCnt, blkCnt;                    /* Loop counters */
-
-  /* S->pState buffer contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = &(S->pState[(numTaps - 1u)]);
-
-  /* Initialize blkCnt with blockSize */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* Copy one sample at a time into state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Set the accumulator to zero */
-    acc = 0;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize Coefficient pointer */
-    pb = pCoeffs;
-
-    i = numTaps;
-
-    /* Perform the multiply-accumulates */
-    do
-    {
-      /* acc =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */
-      acc += (q63_t) * px++ * *pb++;
-      i--;
-    } while(i > 0u);
-
-    /* The result is in 2.62 format.  Convert to 1.31         
-     ** Then store the output in the destination buffer. */
-    *pDst++ = (q31_t) (acc >> 31u);
-
-    /* Advance state pointer by 1 for the next sample */
-    pState = pState + 1;
-
-    /* Decrement the samples loop counter */
-    blkCnt--;
-  }
-
-  /* Processing is complete.         
-   ** Now copy the last numTaps - 1 samples to the starting of the state buffer.       
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  /* Copy numTaps number of values */
-  tapCnt = numTaps - 1u;
-
-  /* Copy the data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-
-#endif /*  #ifndef ARM_MATH_CM0 */
-
-}
-
-/**    
- * @} end of FIR group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_q7.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_q7.c
deleted file mode 100644
index 624afa130..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_q7.c
+++ /dev/null
@@ -1,388 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_fir_q7.c    
-*    
-* Description:  Q7 FIR filter processing function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.5  2010/04/26     
-* 	 incorporated review comments and updated with latest CMSIS layer    
-*    
-* Version 0.0.3  2010/03/10     
-*    Initial version    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR    
- * @{    
- */
-
-/**    
- * @param[in]   *S points to an instance of the Q7 FIR filter structure.    
- * @param[in]   *pSrc points to the block of input data.    
- * @param[out]  *pDst points to the block of output data.    
- * @param[in]   blockSize number of samples to process per call.    
- * @return 	none.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function is implemented using a 32-bit internal accumulator.    
- * Both coefficients and state variables are represented in 1.7 format and multiplications yield a 2.14 result.    
- * The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format.    
- * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.    
- * The accumulator is converted to 18.7 format by discarding the low 7 bits.    
- * Finally, the result is truncated to 1.7 format.    
- */
-
-void arm_fir_q7(
-  const arm_fir_instance_q7 * S,
-  q7_t * pSrc,
-  q7_t * pDst,
-  uint32_t blockSize)
-{
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q7_t *pState = S->pState;                      /* State pointer */
-  q7_t *pCoeffs = S->pCoeffs;                    /* Coefficient pointer */
-  q7_t *pStateCurnt;                             /* Points to the current sample of the state */
-  q7_t x0, x1, x2, x3;                           /* Temporary variables to hold state */
-  q7_t c0;                                       /* Temporary variable to hold coefficient value */
-  q7_t *px;                                      /* Temporary pointer for state */
-  q7_t *pb;                                      /* Temporary pointer for coefficient buffer */
-  q31_t acc0, acc1, acc2, acc3;                  /* Accumulators */
-  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
-  uint32_t i, tapCnt, blkCnt;                    /* Loop counters */
-
-  /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = &(S->pState[(numTaps - 1u)]);
-
-  /* Apply loop unrolling and compute 4 output values simultaneously.    
-   * The variables acc0 ... acc3 hold output values that are being computed:    
-   *    
-   *    acc0 =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]    
-   *    acc1 =  b[numTaps-1] * x[n-numTaps] +   b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]    
-   *    acc2 =  b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] +   b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]    
-   *    acc3 =  b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps]   +...+ b[0] * x[3]    
-   */
-  blkCnt = blockSize >> 2;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* Copy four new input samples into the state buffer */
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-    *pStateCurnt++ = *pSrc++;
-
-    /* Set all accumulators to zero */
-    acc0 = 0;
-    acc1 = 0;
-    acc2 = 0;
-    acc3 = 0;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize coefficient pointer */
-    pb = pCoeffs;
-
-    /* Read the first three samples from the state buffer:    
-     *  x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2] */
-    x0 = *(px++);
-    x1 = *(px++);
-    x2 = *(px++);
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-    i = tapCnt;
-
-    while(i > 0u)
-    {
-      /* Read the b[numTaps] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-3] sample */
-      x3 = *(px++);
-
-      /* acc0 +=  b[numTaps] * x[n-numTaps] */
-      acc0 += ((q15_t) x0 * c0);
-
-      /* acc1 +=  b[numTaps] * x[n-numTaps-1] */
-      acc1 += ((q15_t) x1 * c0);
-
-      /* acc2 +=  b[numTaps] * x[n-numTaps-2] */
-      acc2 += ((q15_t) x2 * c0);
-
-      /* acc3 +=  b[numTaps] * x[n-numTaps-3] */
-      acc3 += ((q15_t) x3 * c0);
-
-      /* Read the b[numTaps-1] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-4] sample */
-      x0 = *(px++);
-
-      /* Perform the multiply-accumulates */
-      acc0 += ((q15_t) x1 * c0);
-      acc1 += ((q15_t) x2 * c0);
-      acc2 += ((q15_t) x3 * c0);
-      acc3 += ((q15_t) x0 * c0);
-
-      /* Read the b[numTaps-2] coefficient */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-5] sample */
-      x1 = *(px++);
-
-      /* Perform the multiply-accumulates */
-      acc0 += ((q15_t) x2 * c0);
-      acc1 += ((q15_t) x3 * c0);
-      acc2 += ((q15_t) x0 * c0);
-      acc3 += ((q15_t) x1 * c0);
-      /* Read the b[numTaps-3] coefficients */
-      c0 = *(pb++);
-
-      /* Read x[n-numTaps-6] sample */
-      x2 = *(px++);
-
-      /* Perform the multiply-accumulates */
-      acc0 += ((q15_t) x3 * c0);
-      acc1 += ((q15_t) x0 * c0);
-      acc2 += ((q15_t) x1 * c0);
-      acc3 += ((q15_t) x2 * c0);
-      i--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-
-    i = numTaps - (tapCnt * 4u);
-    while(i > 0u)
-    {
-      /* Read coefficients */
-      c0 = *(pb++);
-
-      /* Fetch 1 state variable */
-      x3 = *(px++);
-
-      /* Perform the multiply-accumulates */
-      acc0 += ((q15_t) x0 * c0);
-      acc1 += ((q15_t) x1 * c0);
-      acc2 += ((q15_t) x2 * c0);
-      acc3 += ((q15_t) x3 * c0);
-
-      /* Reuse the present sample states for next sample */
-      x0 = x1;
-      x1 = x2;
-      x2 = x3;
-
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* Advance the state pointer by 4 to process the next group of 4 samples */
-    pState = pState + 4;
-
-    /* The results in the 4 accumulators are in 2.62 format.  Convert to 1.31    
-     ** Then store the 4 outputs in the destination buffer. */
-    acc0 = __SSAT((acc0 >> 7u), 8);
-    *pDst++ = acc0;
-    acc1 = __SSAT((acc1 >> 7u), 8);
-    *pDst++ = acc1;
-    acc2 = __SSAT((acc2 >> 7u), 8);
-    *pDst++ = acc2;
-    acc3 = __SSAT((acc3 >> 7u), 8);
-    *pDst++ = acc3;
-
-    /* Decrement the samples loop counter */
-    blkCnt--;
-  }
-
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 4u;
-
-  while(blkCnt > 0u)
-  {
-    /* Copy one sample at a time into state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Set the accumulator to zero */
-    acc0 = 0;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize Coefficient pointer */
-    pb = (pCoeffs);
-
-    i = numTaps;
-
-    /* Perform the multiply-accumulates */
-    do
-    {
-      acc0 += (q15_t) * (px++) * (*(pb++));
-      i--;
-    } while(i > 0u);
-
-    /* The result is in 2.14 format.  Convert to 1.7    
-     ** Then store the output in the destination buffer. */
-    *pDst++ = __SSAT((acc0 >> 7u), 8);
-
-    /* Advance state pointer by 1 for the next sample */
-    pState = pState + 1;
-
-    /* Decrement the samples loop counter */
-    blkCnt--;
-  }
-
-  /* Processing is complete.    
-   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.    
-   ** This prepares the state buffer for the next function call. */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-  tapCnt = (numTaps - 1u) >> 2u;
-
-  /* copy data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-  /* Calculate remaining number of copies */
-  tapCnt = (numTaps - 1u) % 0x4u;
-
-  /* Copy the remaining q31_t data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-#else
-
-/* Run the below code for Cortex-M0 */
-
-  uint32_t numTaps = S->numTaps;                 /* Number of taps in the filter */
-  uint32_t i, blkCnt;                            /* Loop counters */
-  q7_t *pState = S->pState;                      /* State pointer */
-  q7_t *pCoeffs = S->pCoeffs;                    /* Coefficient pointer */
-  q7_t *px, *pb;                                 /* Temporary pointers to state and coeff */
-  q31_t acc = 0;                                 /* Accumlator */
-  q7_t *pStateCurnt;                             /* Points to the current sample of the state */
-
-
-  /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = S->pState + (numTaps - 1u);
-
-  /* Initialize blkCnt with blockSize */
-  blkCnt = blockSize;
-
-  /* Perform filtering upto BlockSize - BlockSize%4  */
-  while(blkCnt > 0u)
-  {
-    /* Copy one sample at a time into state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Set accumulator to zero */
-    acc = 0;
-
-    /* Initialize state pointer of type q7 */
-    px = pState;
-
-    /* Initialize coeff pointer of type q7 */
-    pb = pCoeffs;
-
-
-    i = numTaps;
-
-    while(i > 0u)
-    {
-      /* acc =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */
-      acc += (q15_t) * px++ * *pb++;
-      i--;
-    }
-
-    /* Store the 1.7 format filter output in destination buffer */
-    *pDst++ = (q7_t) __SSAT((acc >> 7), 8);
-
-    /* Advance the state pointer by 1 to process the next sample */
-    pState = pState + 1;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Processing is complete.         
-   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.       
-   ** This prepares the state buffer for the next function call. */
-
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = S->pState;
-
-
-  /* Copy numTaps number of values */
-  i = (numTaps - 1u);
-
-  /* Copy q7_t data */
-  while(i > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-    i--;
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0 */
-
-}
-
-/**    
- * @} end of FIR group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_f32.c
deleted file mode 100644
index e969d5c84..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_f32.c
+++ /dev/null
@@ -1,365 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_fir_sparse_f32.c    
-*    
-* Description:	Floating-point sparse FIR filter processing function.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* ------------------------------------------------------------------- */
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @defgroup FIR_Sparse Finite Impulse Response (FIR) Sparse Filters    
- *    
- * This group of functions implements sparse FIR filters.     
- * Sparse FIR filters are equivalent to standard FIR filters except that most of the coefficients are equal to zero.   
- * Sparse filters are used for simulating reflections in communications and audio applications.   
- *   
- * There are separate functions for Q7, Q15, Q31, and floating-point data types.    
- * The functions operate on blocks  of input and output data and each call to the function processes    
- * blockSize samples through the filter.  pSrc and    
- * pDst points to input and output arrays respectively containing blockSize values.    
- *    
- * \par Algorithm:    
- * The sparse filter instant structure contains an array of tap indices pTapDelay which specifies the locations of the non-zero coefficients.   
- * This is in addition to the coefficient array b.   
- * The implementation essentially skips the multiplications by zero and leads to an efficient realization.   
- * 
   
- *     y[n] = b[0] * x[n-pTapDelay[0]] + b[1] * x[n-pTapDelay[1]] + b[2] * x[n-pTapDelay[2]] + ...+ b[numTaps-1] * x[n-pTapDelay[numTaps-1]]    
- * 
    
- * \par    
- * \image html FIRSparse.gif "Sparse FIR filter.  b[n] represents the filter coefficients"   
- * \par    
- * pCoeffs points to a coefficient array of size numTaps;    
- * pTapDelay points to an array of nonzero indices and is also of size numTaps;   
- * pState points to a state array of size maxDelay + blockSize, where   
- * maxDelay is the largest offset value that is ever used in the pTapDelay array.   
- * Some of the processing functions also require temporary working buffers.   
- *   
- * \par Instance Structure    
- * The coefficients and state variables for a filter are stored together in an instance data structure.    
- * A separate instance structure must be defined for each filter.    
- * Coefficient and offset arrays may be shared among several instances while state variable arrays cannot be shared.    
- * There are separate instance structure declarations for each of the 4 supported data types.    
- *    
- * \par Initialization Functions    
- * There is also an associated initialization function for each data type.    
- * The initialization function performs the following operations:    
- * - Sets the values of the internal structure fields.    
- * - Zeros out the values in the state buffer.    
- *    
- * \par    
- * Use of the initialization function is optional.    
- * However, if the initialization function is used, then the instance structure cannot be placed into a const data section.    
- * To place an instance structure into a const data section, the instance structure must be manually initialized.    
- * Set the values in the state buffer to zeros before static initialization.    
- * The code below statically initializes each of the 4 different data type filter instance structures    
- * 
    
- *arm_fir_sparse_instance_f32 S = {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};    
- *arm_fir_sparse_instance_q31 S = {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};    
- *arm_fir_sparse_instance_q15 S = {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};    
- *arm_fir_sparse_instance_q7 S =  {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};    
- * 
    
- * \par    
- *    
- * \par Fixed-Point Behavior    
- * Care must be taken when using the fixed-point versions of the sparse FIR filter functions.    
- * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.    
- * Refer to the function specific documentation below for usage guidelines.    
- */
-
-/**    
- * @addtogroup FIR_Sparse    
- * @{    
- */
-
-/**   
- * @brief Processing function for the floating-point sparse FIR filter.   
- * @param[in]  *S          points to an instance of the floating-point sparse FIR structure.   
- * @param[in]  *pSrc       points to the block of input data.   
- * @param[out] *pDst       points to the block of output data   
- * @param[in]  *pScratchIn points to a temporary buffer of size blockSize.   
- * @param[in]  blockSize   number of input samples to process per call.   
- * @return none.   
- */
-
-void arm_fir_sparse_f32(
-  arm_fir_sparse_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst,
-  float32_t * pScratchIn,
-  uint32_t blockSize)
-{
-
-  float32_t *pState = S->pState;                 /* State pointer */
-  float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
-  float32_t *px;                                 /* Scratch buffer pointer */
-  float32_t *py = pState;                        /* Temporary pointers for state buffer */
-  float32_t *pb = pScratchIn;                    /* Temporary pointers for scratch buffer */
-  float32_t *pOut;                               /* Destination pointer */
-  int32_t *pTapDelay = S->pTapDelay;             /* Pointer to the array containing offset of the non-zero tap values. */
-  uint32_t delaySize = S->maxDelay + blockSize;  /* state length */
-  uint16_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter  */
-  int32_t readIndex;                             /* Read index of the state buffer */
-  uint32_t tapCnt, blkCnt;                       /* loop counters */
-  float32_t coeff = *pCoeffs++;                  /* Read the first coefficient value */
-
-
-
-  /* BlockSize of Input samples are copied into the state buffer */
-  /* StateIndex points to the starting position to write in the state buffer */
-  arm_circularWrite_f32((int32_t *) py, delaySize, &S->stateIndex, 1,
-                        (int32_t *) pSrc, 1, blockSize);
-
-
-  /* Read Index, from where the state buffer should be read, is calculated. */
-  readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++;
-
-  /* Wraparound of readIndex */
-  if(readIndex < 0)
-  {
-    readIndex += (int32_t) delaySize;
-  }
-
-  /* Working pointer for state buffer is updated */
-  py = pState;
-
-  /* blockSize samples are read from the state buffer */
-  arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
-                       (int32_t *) pb, (int32_t *) pb, blockSize, 1,
-                       blockSize);
-
-  /* Working pointer for the scratch buffer */
-  px = pb;
-
-  /* Working pointer for destination buffer */
-  pOut = pDst;
-
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /* Loop over the blockSize. Unroll by a factor of 4.    
-   * Compute 4 Multiplications at a time. */
-  blkCnt = blockSize >> 2u;
-
-  while(blkCnt > 0u)
-  {
-    /* Perform Multiplications and store in destination buffer */
-    *pOut++ = *px++ * coeff;
-    *pOut++ = *px++ * coeff;
-    *pOut++ = *px++ * coeff;
-    *pOut++ = *px++ * coeff;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4,    
-   * compute the remaining samples */
-  blkCnt = blockSize % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* Perform Multiplications and store in destination buffer */
-    *pOut++ = *px++ * coeff;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Load the coefficient value and    
-   * increment the coefficient buffer for the next set of state values */
-  coeff = *pCoeffs++;
-
-  /* Read Index, from where the state buffer should be read, is calculated. */
-  readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++;
-
-  /* Wraparound of readIndex */
-  if(readIndex < 0)
-  {
-    readIndex += (int32_t) delaySize;
-  }
-
-  /* Loop over the number of taps. */
-  tapCnt = (uint32_t) numTaps - 1u;
-
-  while(tapCnt > 0u)
-  {
-
-    /* Working pointer for state buffer is updated */
-    py = pState;
-
-    /* blockSize samples are read from the state buffer */
-    arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
-                         (int32_t *) pb, (int32_t *) pb, blockSize, 1,
-                         blockSize);
-
-    /* Working pointer for the scratch buffer */
-    px = pb;
-
-    /* Working pointer for destination buffer */
-    pOut = pDst;
-
-    /* Loop over the blockSize. Unroll by a factor of 4.    
-     * Compute 4 MACS at a time. */
-    blkCnt = blockSize >> 2u;
-
-    while(blkCnt > 0u)
-    {
-      /* Perform Multiply-Accumulate */
-      *pOut++ += *px++ * coeff;
-      *pOut++ += *px++ * coeff;
-      *pOut++ += *px++ * coeff;
-      *pOut++ += *px++ * coeff;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the blockSize is not a multiple of 4,    
-     * compute the remaining samples */
-    blkCnt = blockSize % 0x4u;
-
-    while(blkCnt > 0u)
-    {
-      /* Perform Multiply-Accumulate */
-      *pOut++ += *px++ * coeff;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* Load the coefficient value and    
-     * increment the coefficient buffer for the next set of state values */
-    coeff = *pCoeffs++;
-
-    /* Read Index, from where the state buffer should be read, is calculated. */
-    readIndex = ((int32_t) S->stateIndex -
-                 (int32_t) blockSize) - *pTapDelay++;
-
-    /* Wraparound of readIndex */
-    if(readIndex < 0)
-    {
-      readIndex += (int32_t) delaySize;
-    }
-
-    /* Decrement the tap loop counter */
-    tapCnt--;
-  }
-
-#else
-
-/* Run the below code for Cortex-M0 */
-
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* Perform Multiplications and store in destination buffer */
-    *pOut++ = *px++ * coeff;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Load the coefficient value and           
-   * increment the coefficient buffer for the next set of state values */
-  coeff = *pCoeffs++;
-
-  /* Read Index, from where the state buffer should be read, is calculated. */
-  readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++;
-
-  /* Wraparound of readIndex */
-  if(readIndex < 0)
-  {
-    readIndex += (int32_t) delaySize;
-  }
-
-  /* Loop over the number of taps. */
-  tapCnt = (uint32_t) numTaps - 1u;
-
-  while(tapCnt > 0u)
-  {
-
-    /* Working pointer for state buffer is updated */
-    py = pState;
-
-    /* blockSize samples are read from the state buffer */
-    arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
-                         (int32_t *) pb, (int32_t *) pb, blockSize, 1,
-                         blockSize);
-
-    /* Working pointer for the scratch buffer */
-    px = pb;
-
-    /* Working pointer for destination buffer */
-    pOut = pDst;
-
-    blkCnt = blockSize;
-
-    while(blkCnt > 0u)
-    {
-      /* Perform Multiply-Accumulate */
-      *pOut++ += *px++ * coeff;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* Load the coefficient value and           
-     * increment the coefficient buffer for the next set of state values */
-    coeff = *pCoeffs++;
-
-    /* Read Index, from where the state buffer should be read, is calculated. */
-    readIndex =
-      ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++;
-
-    /* Wraparound of readIndex */
-    if(readIndex < 0)
-    {
-      readIndex += (int32_t) delaySize;
-    }
-
-    /* Decrement the tap loop counter */
-    tapCnt--;
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0        */
-
-}
-
-/**    
- * @} end of FIR_Sparse group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_init_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_init_f32.c
deleted file mode 100644
index 2934352d0..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_init_f32.c
+++ /dev/null
@@ -1,102 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_fir_sparse_init_f32.c    
-*    
-* Description:	Floating-point sparse FIR filter initialization function.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_Sparse    
- * @{    
- */
-
-/**   
- * @brief  Initialization function for the floating-point sparse FIR filter.   
- * @param[in,out] *S         points to an instance of the floating-point sparse FIR structure.   
- * @param[in]     numTaps    number of nonzero coefficients in the filter.   
- * @param[in]     *pCoeffs   points to the array of filter coefficients.   
- * @param[in]     *pState    points to the state buffer.   
- * @param[in]     *pTapDelay points to the array of offset times.   
- * @param[in]     maxDelay   maximum offset time supported.   
- * @param[in]     blockSize  number of samples that will be processed per block.   
- * @return none   
- *    
- * Description:    
- * \par    
- * pCoeffs holds the filter coefficients and has length numTaps.    
- * pState holds the filter's state variables and must be of length    
- * maxDelay + blockSize, where maxDelay    
- * is the maximum number of delay line values.    
- * blockSize is the    
- * number of samples processed by the arm_fir_sparse_f32() function.    
- */
-
-void arm_fir_sparse_init_f32(
-  arm_fir_sparse_instance_f32 * S,
-  uint16_t numTaps,
-  float32_t * pCoeffs,
-  float32_t * pState,
-  int32_t * pTapDelay,
-  uint16_t maxDelay,
-  uint32_t blockSize)
-{
-  /* Assign filter taps */
-  S->numTaps = numTaps;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Assign TapDelay pointer */
-  S->pTapDelay = pTapDelay;
-
-  /* Assign MaxDelay */
-  S->maxDelay = maxDelay;
-
-  /* reset the stateIndex to 0 */
-  S->stateIndex = 0u;
-
-  /* Clear state buffer and size is always maxDelay + blockSize */
-  memset(pState, 0, (maxDelay + blockSize) * sizeof(float32_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-}
-
-/**    
- * @} end of FIR_Sparse group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_init_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_init_q15.c
deleted file mode 100644
index 47a116e95..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_init_q15.c
+++ /dev/null
@@ -1,102 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_fir_sparse_init_q15.c    
-*    
-* Description:	Q15 sparse FIR filter initialization function.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_Sparse    
- * @{    
- */
-
-/**   
- * @brief  Initialization function for the Q15 sparse FIR filter.   
- * @param[in,out] *S         points to an instance of the Q15 sparse FIR structure.   
- * @param[in]     numTaps    number of nonzero coefficients in the filter.   
- * @param[in]     *pCoeffs   points to the array of filter coefficients.   
- * @param[in]     *pState    points to the state buffer.   
- * @param[in]     *pTapDelay points to the array of offset times.   
- * @param[in]     maxDelay   maximum offset time supported.   
- * @param[in]     blockSize  number of samples that will be processed per block.   
- * @return none   
- *    
- * Description:    
- * \par    
- * pCoeffs holds the filter coefficients and has length numTaps.    
- * pState holds the filter's state variables and must be of length    
- * maxDelay + blockSize, where maxDelay    
- * is the maximum number of delay line values.    
- * blockSize is the    
- * number of words processed by arm_fir_sparse_q15() function.    
- */
-
-void arm_fir_sparse_init_q15(
-  arm_fir_sparse_instance_q15 * S,
-  uint16_t numTaps,
-  q15_t * pCoeffs,
-  q15_t * pState,
-  int32_t * pTapDelay,
-  uint16_t maxDelay,
-  uint32_t blockSize)
-{
-  /* Assign filter taps */
-  S->numTaps = numTaps;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Assign TapDelay pointer */
-  S->pTapDelay = pTapDelay;
-
-  /* Assign MaxDelay */
-  S->maxDelay = maxDelay;
-
-  /* reset the stateIndex to 0 */
-  S->stateIndex = 0u;
-
-  /* Clear state buffer and size is always maxDelay + blockSize */
-  memset(pState, 0, (maxDelay + blockSize) * sizeof(q15_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-}
-
-/**    
- * @} end of FIR_Sparse group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_init_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_init_q31.c
deleted file mode 100644
index 360a219b2..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_init_q31.c
+++ /dev/null
@@ -1,101 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_fir_sparse_init_q31.c    
-*    
-* Description:	Q31 sparse FIR filter initialization function.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_Sparse    
- * @{    
- */
-
-/**   
- * @brief  Initialization function for the Q31 sparse FIR filter.   
- * @param[in,out] *S         points to an instance of the Q31 sparse FIR structure.   
- * @param[in]     numTaps    number of nonzero coefficients in the filter.   
- * @param[in]     *pCoeffs   points to the array of filter coefficients.   
- * @param[in]     *pState    points to the state buffer.   
- * @param[in]     *pTapDelay points to the array of offset times.   
- * @param[in]     maxDelay   maximum offset time supported.   
- * @param[in]     blockSize  number of samples that will be processed per block.   
- * @return none   
- *    
- * Description:    
- * \par    
- * pCoeffs holds the filter coefficients and has length numTaps.    
- * pState holds the filter's state variables and must be of length    
- * maxDelay + blockSize, where maxDelay    
- * is the maximum number of delay line values.    
- * blockSize is the number of words processed by arm_fir_sparse_q31() function.    
- */
-
-void arm_fir_sparse_init_q31(
-  arm_fir_sparse_instance_q31 * S,
-  uint16_t numTaps,
-  q31_t * pCoeffs,
-  q31_t * pState,
-  int32_t * pTapDelay,
-  uint16_t maxDelay,
-  uint32_t blockSize)
-{
-  /* Assign filter taps */
-  S->numTaps = numTaps;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Assign TapDelay pointer */
-  S->pTapDelay = pTapDelay;
-
-  /* Assign MaxDelay */
-  S->maxDelay = maxDelay;
-
-  /* reset the stateIndex to 0 */
-  S->stateIndex = 0u;
-
-  /* Clear state buffer and size is always maxDelay + blockSize */
-  memset(pState, 0, (maxDelay + blockSize) * sizeof(q31_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-}
-
-/**    
- * @} end of FIR_Sparse group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_init_q7.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_init_q7.c
deleted file mode 100644
index b400297ca..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_init_q7.c
+++ /dev/null
@@ -1,102 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_fir_sparse_init_q7.c    
-*    
-* Description:	Q7 sparse FIR filter initialization function.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_Sparse    
- * @{    
- */
-
-/**   
- * @brief  Initialization function for the Q7 sparse FIR filter.   
- * @param[in,out] *S         points to an instance of the Q7 sparse FIR structure.   
- * @param[in]     numTaps    number of nonzero coefficients in the filter.   
- * @param[in]     *pCoeffs   points to the array of filter coefficients.   
- * @param[in]     *pState    points to the state buffer.   
- * @param[in]     *pTapDelay points to the array of offset times.   
- * @param[in]     maxDelay   maximum offset time supported.   
- * @param[in]     blockSize  number of samples that will be processed per block.   
- * @return none   
- *    
- * Description:    
- * \par    
- * pCoeffs holds the filter coefficients and has length numTaps.    
- * pState holds the filter's state variables and must be of length    
- * maxDelay + blockSize, where maxDelay    
- * is the maximum number of delay line values.    
- * blockSize is the    
- * number of samples processed by the arm_fir_sparse_q7() function.    
- */
-
-void arm_fir_sparse_init_q7(
-  arm_fir_sparse_instance_q7 * S,
-  uint16_t numTaps,
-  q7_t * pCoeffs,
-  q7_t * pState,
-  int32_t * pTapDelay,
-  uint16_t maxDelay,
-  uint32_t blockSize)
-{
-  /* Assign filter taps */
-  S->numTaps = numTaps;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Assign TapDelay pointer */
-  S->pTapDelay = pTapDelay;
-
-  /* Assign MaxDelay */
-  S->maxDelay = maxDelay;
-
-  /* reset the stateIndex to 0 */
-  S->stateIndex = 0u;
-
-  /* Clear state buffer and size is always maxDelay + blockSize */
-  memset(pState, 0, (maxDelay + blockSize) * sizeof(q7_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-}
-
-/**    
- * @} end of FIR_Sparse group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_q15.c
deleted file mode 100644
index 016f83345..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_q15.c
+++ /dev/null
@@ -1,406 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_fir_sparse_q15.c    
-*    
-* Description:	Q15 sparse FIR filter processing function.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* ------------------------------------------------------------------- */
-#include "arm_math.h"
-
-/**    
- * @addtogroup FIR_Sparse    
- * @{    
- */
-
-/**   
- * @brief Processing function for the Q15 sparse FIR filter.   
- * @param[in]  *S           points to an instance of the Q15 sparse FIR structure.   
- * @param[in]  *pSrc        points to the block of input data.   
- * @param[out] *pDst        points to the block of output data   
- * @param[in]  *pScratchIn  points to a temporary buffer of size blockSize.   
- * @param[in]  *pScratchOut points to a temporary buffer of size blockSize.   
- * @param[in]  blockSize    number of input samples to process per call.   
- * @return none.   
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function is implemented using an internal 32-bit accumulator.   
- * The 1.15 x 1.15 multiplications yield a 2.30 result and these are added to a 2.30 accumulator.   
- * Thus the full precision of the multiplications is maintained but there is only a single guard bit in the accumulator.   
- * If the accumulator result overflows it will wrap around rather than saturate.   
- * After all multiply-accumulates are performed, the 2.30 accumulator is truncated to 2.15 format and then saturated to 1.15 format.    
- * In order to avoid overflows the input signal or coefficients must be scaled down by log2(numTaps) bits.   
- */
-
-
-void arm_fir_sparse_q15(
-  arm_fir_sparse_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  q15_t * pScratchIn,
-  q31_t * pScratchOut,
-  uint32_t blockSize)
-{
-
-  q15_t *pState = S->pState;                     /* State pointer */
-  q15_t *pIn = pSrc;                             /* Working pointer for input */
-  q15_t *pOut = pDst;                            /* Working pointer for output */
-  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q15_t *px;                                     /* Temporary pointers for scratch buffer */
-  q15_t *pb = pScratchIn;                        /* Temporary pointers for scratch buffer */
-  q15_t *py = pState;                            /* Temporary pointers for state buffer */
-  int32_t *pTapDelay = S->pTapDelay;             /* Pointer to the array containing offset of the non-zero tap values. */
-  uint32_t delaySize = S->maxDelay + blockSize;  /* state length */
-  uint16_t numTaps = S->numTaps;                 /* Filter order */
-  int32_t readIndex;                             /* Read index of the state buffer */
-  uint32_t tapCnt, blkCnt;                       /* loop counters */
-  q15_t coeff = *pCoeffs++;                      /* Read the first coefficient value */
-  q31_t *pScr2 = pScratchOut;                    /* Working pointer for pScratchOut */
-
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q31_t in1, in2;                                /* Temporary variables */
-
-
-  /* BlockSize of Input samples are copied into the state buffer */
-  /* StateIndex points to the starting position to write in the state buffer */
-  arm_circularWrite_q15(py, delaySize, &S->stateIndex, 1, pIn, 1, blockSize);
-
-  /* Loop over the number of taps. */
-  tapCnt = numTaps;
-
-  /* Read Index, from where the state buffer should be read, is calculated. */
-  readIndex = (S->stateIndex - blockSize) - *pTapDelay++;
-
-  /* Wraparound of readIndex */
-  if(readIndex < 0)
-  {
-    readIndex += (int32_t) delaySize;
-  }
-
-  /* Working pointer for state buffer is updated */
-  py = pState;
-
-  /* blockSize samples are read from the state buffer */
-  arm_circularRead_q15(py, delaySize, &readIndex, 1,
-                       pb, pb, blockSize, 1, blockSize);
-
-  /* Working pointer for the scratch buffer of state values */
-  px = pb;
-
-  /* Working pointer for scratch buffer of output values */
-  pScratchOut = pScr2;
-
-  /* Loop over the blockSize. Unroll by a factor of 4.    
-   * Compute 4 multiplications at a time. */
-  blkCnt = blockSize >> 2;
-
-  while(blkCnt > 0u)
-  {
-    /* Perform multiplication and store in the scratch buffer */
-    *pScratchOut++ = ((q31_t) * px++ * coeff);
-    *pScratchOut++ = ((q31_t) * px++ * coeff);
-    *pScratchOut++ = ((q31_t) * px++ * coeff);
-    *pScratchOut++ = ((q31_t) * px++ * coeff);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4,    
-   * compute the remaining samples */
-  blkCnt = blockSize % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* Perform multiplication and store in the scratch buffer */
-    *pScratchOut++ = ((q31_t) * px++ * coeff);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Load the coefficient value and    
-   * increment the coefficient buffer for the next set of state values */
-  coeff = *pCoeffs++;
-
-  /* Read Index, from where the state buffer should be read, is calculated. */
-  readIndex = (S->stateIndex - blockSize) - *pTapDelay++;
-
-  /* Wraparound of readIndex */
-  if(readIndex < 0)
-  {
-    readIndex += (int32_t) delaySize;
-  }
-
-  /* Loop over the number of taps. */
-  tapCnt = (uint32_t) numTaps - 1u;
-
-  while(tapCnt > 0u)
-  {
-    /* Working pointer for state buffer is updated */
-    py = pState;
-
-    /* blockSize samples are read from the state buffer */
-    arm_circularRead_q15(py, delaySize, &readIndex, 1,
-                         pb, pb, blockSize, 1, blockSize);
-
-    /* Working pointer for the scratch buffer of state values */
-    px = pb;
-
-    /* Working pointer for scratch buffer of output values */
-    pScratchOut = pScr2;
-
-    /* Loop over the blockSize. Unroll by a factor of 4.    
-     * Compute 4 MACS at a time. */
-    blkCnt = blockSize >> 2;
-
-    while(blkCnt > 0u)
-    {
-      /* Perform Multiply-Accumulate */
-      *pScratchOut++ += (q31_t) * px++ * coeff;
-      *pScratchOut++ += (q31_t) * px++ * coeff;
-      *pScratchOut++ += (q31_t) * px++ * coeff;
-      *pScratchOut++ += (q31_t) * px++ * coeff;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the blockSize is not a multiple of 4,    
-     * compute the remaining samples */
-    blkCnt = blockSize % 0x4u;
-
-    while(blkCnt > 0u)
-    {
-      /* Perform Multiply-Accumulate */
-      *pScratchOut++ += (q31_t) * px++ * coeff;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* Load the coefficient value and    
-     * increment the coefficient buffer for the next set of state values */
-    coeff = *pCoeffs++;
-
-    /* Read Index, from where the state buffer should be read, is calculated. */
-    readIndex = (S->stateIndex - blockSize) - *pTapDelay++;
-
-    /* Wraparound of readIndex */
-    if(readIndex < 0)
-    {
-      readIndex += (int32_t) delaySize;
-    }
-
-    /* Decrement the tap loop counter */
-    tapCnt--;
-  }
-
-  /* All the output values are in pScratchOut buffer.    
-     Convert them into 1.15 format, saturate and store in the destination buffer. */
-  /* Loop over the blockSize. */
-  blkCnt = blockSize >> 2;
-
-  while(blkCnt > 0u)
-  {
-    in1 = *pScr2++;
-    in2 = *pScr2++;
-
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-    *__SIMD32(pOut)++ =
-      __PKHBT((q15_t) __SSAT(in1 >> 15, 16), (q15_t) __SSAT(in2 >> 15, 16),
-              16);
-
-#else
-    *__SIMD32(pOut)++ =
-      __PKHBT((q15_t) __SSAT(in2 >> 15, 16), (q15_t) __SSAT(in1 >> 15, 16),
-              16);
-
-#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-    in1 = *pScr2++;
-
-    in2 = *pScr2++;
-
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-    *__SIMD32(pOut)++ =
-      __PKHBT((q15_t) __SSAT(in1 >> 15, 16), (q15_t) __SSAT(in2 >> 15, 16),
-              16);
-
-#else
-
-    *__SIMD32(pOut)++ =
-      __PKHBT((q15_t) __SSAT(in2 >> 15, 16), (q15_t) __SSAT(in1 >> 15, 16),
-              16);
-
-#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-
-    blkCnt--;
-
-  }
-
-  /* If the blockSize is not a multiple of 4,    
-     remaining samples are processed in the below loop */
-  blkCnt = blockSize % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    *pOut++ = (q15_t) __SSAT(*pScr2++ >> 15, 16);
-    blkCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* BlockSize of Input samples are copied into the state buffer */
-  /* StateIndex points to the starting position to write in the state buffer */
-  arm_circularWrite_q15(py, delaySize, &S->stateIndex, 1, pIn, 1, blockSize);
-
-  /* Loop over the number of taps. */
-  tapCnt = numTaps;
-
-  /* Read Index, from where the state buffer should be read, is calculated. */
-  readIndex = (S->stateIndex - blockSize) - *pTapDelay++;
-
-  /* Wraparound of readIndex */
-  if(readIndex < 0)
-  {
-    readIndex += (int32_t) delaySize;
-  }
-
-  /* Working pointer for state buffer is updated */
-  py = pState;
-
-  /* blockSize samples are read from the state buffer */
-  arm_circularRead_q15(py, delaySize, &readIndex, 1,
-                       pb, pb, blockSize, 1, blockSize);
-
-  /* Working pointer for the scratch buffer of state values */
-  px = pb;
-
-  /* Working pointer for scratch buffer of output values */
-  pScratchOut = pScr2;
-
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* Perform multiplication and store in the scratch buffer */
-    *pScratchOut++ = ((q31_t) * px++ * coeff);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Load the coefficient value and           
-   * increment the coefficient buffer for the next set of state values */
-  coeff = *pCoeffs++;
-
-  /* Read Index, from where the state buffer should be read, is calculated. */
-  readIndex = (S->stateIndex - blockSize) - *pTapDelay++;
-
-  /* Wraparound of readIndex */
-  if(readIndex < 0)
-  {
-    readIndex += (int32_t) delaySize;
-  }
-
-  /* Loop over the number of taps. */
-  tapCnt = (uint32_t) numTaps - 1u;
-
-  while(tapCnt > 0u)
-  {
-    /* Working pointer for state buffer is updated */
-    py = pState;
-
-    /* blockSize samples are read from the state buffer */
-    arm_circularRead_q15(py, delaySize, &readIndex, 1,
-                         pb, pb, blockSize, 1, blockSize);
-
-    /* Working pointer for the scratch buffer of state values */
-    px = pb;
-
-    /* Working pointer for scratch buffer of output values */
-    pScratchOut = pScr2;
-
-    blkCnt = blockSize;
-
-    while(blkCnt > 0u)
-    {
-      /* Perform Multiply-Accumulate */
-      *pScratchOut++ += (q31_t) * px++ * coeff;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* Load the coefficient value and           
-     * increment the coefficient buffer for the next set of state values */
-    coeff = *pCoeffs++;
-
-    /* Read Index, from where the state buffer should be read, is calculated. */
-    readIndex = (S->stateIndex - blockSize) - *pTapDelay++;
-
-    /* Wraparound of readIndex */
-    if(readIndex < 0)
-    {
-      readIndex += (int32_t) delaySize;
-    }
-
-    /* Decrement the tap loop counter */
-    tapCnt--;
-  }
-
-  /* All the output values are in pScratchOut buffer.       
-     Convert them into 1.15 format, saturate and store in the destination buffer. */
-  /* Loop over the blockSize. */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    *pOut++ = (q15_t) __SSAT(*pScr2++ >> 15, 16);
-    blkCnt--;
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0 */
-
-}
-
-/**    
- * @} end of FIR_Sparse group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_q31.c
deleted file mode 100644
index 3d2f6d402..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_q31.c
+++ /dev/null
@@ -1,370 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_fir_sparse_q31.c    
-*    
-* Description:	Q31 sparse FIR filter processing function.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* ------------------------------------------------------------------- */
-#include "arm_math.h"
-
-
-/**    
- * @addtogroup FIR_Sparse    
- * @{    
- */
-
-/**   
- * @brief Processing function for the Q31 sparse FIR filter.   
- * @param[in]  *S          points to an instance of the Q31 sparse FIR structure.   
- * @param[in]  *pSrc       points to the block of input data.   
- * @param[out] *pDst       points to the block of output data   
- * @param[in]  *pScratchIn points to a temporary buffer of size blockSize.   
- * @param[in]  blockSize   number of input samples to process per call.   
- * @return none.   
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function is implemented using an internal 32-bit accumulator.   
- * The 1.31 x 1.31 multiplications are truncated to 2.30 format.   
- * This leads to loss of precision on the intermediate multiplications and provides only a single guard bit.    
- * If the accumulator result overflows, it wraps around rather than saturate.   
- * In order to avoid overflows the input signal or coefficients must be scaled down by log2(numTaps) bits.   
- */
-
-void arm_fir_sparse_q31(
-  arm_fir_sparse_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  q31_t * pScratchIn,
-  uint32_t blockSize)
-{
-
-  q31_t *pState = S->pState;                     /* State pointer */
-  q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q31_t *px;                                     /* Scratch buffer pointer */
-  q31_t *py = pState;                            /* Temporary pointers for state buffer */
-  q31_t *pb = pScratchIn;                        /* Temporary pointers for scratch buffer */
-  q31_t *pOut;                                   /* Destination pointer */
-  q63_t out;                                     /* Temporary output variable */
-  int32_t *pTapDelay = S->pTapDelay;             /* Pointer to the array containing offset of the non-zero tap values. */
-  uint32_t delaySize = S->maxDelay + blockSize;  /* state length */
-  uint16_t numTaps = S->numTaps;                 /* Filter order */
-  int32_t readIndex;                             /* Read index of the state buffer */
-  uint32_t tapCnt, blkCnt;                       /* loop counters */
-  q31_t coeff = *pCoeffs++;                      /* Read the first coefficient value */
-  q31_t in;
-
-
-  /* BlockSize of Input samples are copied into the state buffer */
-  /* StateIndex points to the starting position to write in the state buffer */
-  arm_circularWrite_f32((int32_t *) py, delaySize, &S->stateIndex, 1,
-                        (int32_t *) pSrc, 1, blockSize);
-
-  /* Read Index, from where the state buffer should be read, is calculated. */
-  readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
-
-  /* Wraparound of readIndex */
-  if(readIndex < 0)
-  {
-    readIndex += (int32_t) delaySize;
-  }
-
-  /* Working pointer for state buffer is updated */
-  py = pState;
-
-  /* blockSize samples are read from the state buffer */
-  arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
-                       (int32_t *) pb, (int32_t *) pb, blockSize, 1,
-                       blockSize);
-
-  /* Working pointer for the scratch buffer of state values */
-  px = pb;
-
-  /* Working pointer for scratch buffer of output values */
-  pOut = pDst;
-
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /* Loop over the blockSize. Unroll by a factor of 4.    
-   * Compute 4 Multiplications at a time. */
-  blkCnt = blockSize >> 2;
-
-  while(blkCnt > 0u)
-  {
-    /* Perform Multiplications and store in the destination buffer */
-    *pOut++ = (q31_t) (((q63_t) * px++ * coeff) >> 32);
-    *pOut++ = (q31_t) (((q63_t) * px++ * coeff) >> 32);
-    *pOut++ = (q31_t) (((q63_t) * px++ * coeff) >> 32);
-    *pOut++ = (q31_t) (((q63_t) * px++ * coeff) >> 32);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4,    
-   * compute the remaining samples */
-  blkCnt = blockSize % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* Perform Multiplications and store in the destination buffer */
-    *pOut++ = (q31_t) (((q63_t) * px++ * coeff) >> 32);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Load the coefficient value and    
-   * increment the coefficient buffer for the next set of state values */
-  coeff = *pCoeffs++;
-
-  /* Read Index, from where the state buffer should be read, is calculated. */
-  readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
-
-  /* Wraparound of readIndex */
-  if(readIndex < 0)
-  {
-    readIndex += (int32_t) delaySize;
-  }
-
-  /* Loop over the number of taps. */
-  tapCnt = (uint32_t) numTaps - 1u;
-
-  while(tapCnt > 0u)
-  {
-    /* Working pointer for state buffer is updated */
-    py = pState;
-
-    /* blockSize samples are read from the state buffer */
-    arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
-                         (int32_t *) pb, (int32_t *) pb, blockSize, 1,
-                         blockSize);
-
-    /* Working pointer for the scratch buffer of state values */
-    px = pb;
-
-    /* Working pointer for scratch buffer of output values */
-    pOut = pDst;
-
-    /* Loop over the blockSize. Unroll by a factor of 4.    
-     * Compute 4 MACS at a time. */
-    blkCnt = blockSize >> 2;
-
-    while(blkCnt > 0u)
-    {
-      out = *pOut;
-      out += ((q63_t) * px++ * coeff) >> 32;
-      *pOut++ = (q31_t) (out);
-
-      out = *pOut;
-      out += ((q63_t) * px++ * coeff) >> 32;
-      *pOut++ = (q31_t) (out);
-
-      out = *pOut;
-      out += ((q63_t) * px++ * coeff) >> 32;
-      *pOut++ = (q31_t) (out);
-
-      out = *pOut;
-      out += ((q63_t) * px++ * coeff) >> 32;
-      *pOut++ = (q31_t) (out);
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the blockSize is not a multiple of 4,    
-     * compute the remaining samples */
-    blkCnt = blockSize % 0x4u;
-
-    while(blkCnt > 0u)
-    {
-      /* Perform Multiply-Accumulate */
-      out = *pOut;
-      out += ((q63_t) * px++ * coeff) >> 32;
-      *pOut++ = (q31_t) (out);
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* Load the coefficient value and    
-     * increment the coefficient buffer for the next set of state values */
-    coeff = *pCoeffs++;
-
-    /* Read Index, from where the state buffer should be read, is calculated. */
-    readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
-
-    /* Wraparound of readIndex */
-    if(readIndex < 0)
-    {
-      readIndex += (int32_t) delaySize;
-    }
-
-    /* Decrement the tap loop counter */
-    tapCnt--;
-  }
-
-  /* Working output pointer is updated */
-  pOut = pDst;
-
-  /* Output is converted into 1.31 format. */
-  /* Loop over the blockSize. Unroll by a factor of 4.    
-   * process 4 output samples at a time. */
-  blkCnt = blockSize >> 2;
-
-  while(blkCnt > 0u)
-  {
-    in = *pOut << 1;
-    *pOut++ = in;
-    in = *pOut << 1;
-    *pOut++ = in;
-    in = *pOut << 1;
-    *pOut++ = in;
-    in = *pOut << 1;
-    *pOut++ = in;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4,    
-   * process the remaining output samples */
-  blkCnt = blockSize % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    in = *pOut << 1;
-    *pOut++ = in;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* Perform Multiplications and store in the destination buffer */
-    *pOut++ = (q31_t) (((q63_t) * px++ * coeff) >> 32);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Load the coefficient value and           
-   * increment the coefficient buffer for the next set of state values */
-  coeff = *pCoeffs++;
-
-  /* Read Index, from where the state buffer should be read, is calculated. */
-  readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
-
-  /* Wraparound of readIndex */
-  if(readIndex < 0)
-  {
-    readIndex += (int32_t) delaySize;
-  }
-
-  /* Loop over the number of taps. */
-  tapCnt = (uint32_t) numTaps - 1u;
-
-  while(tapCnt > 0u)
-  {
-    /* Working pointer for state buffer is updated */
-    py = pState;
-
-    /* blockSize samples are read from the state buffer */
-    arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
-                         (int32_t *) pb, (int32_t *) pb, blockSize, 1,
-                         blockSize);
-
-    /* Working pointer for the scratch buffer of state values */
-    px = pb;
-
-    /* Working pointer for scratch buffer of output values */
-    pOut = pDst;
-
-    blkCnt = blockSize;
-
-    while(blkCnt > 0u)
-    {
-      /* Perform Multiply-Accumulate */
-      out = *pOut;
-      out += ((q63_t) * px++ * coeff) >> 32;
-      *pOut++ = (q31_t) (out);
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* Load the coefficient value and           
-     * increment the coefficient buffer for the next set of state values */
-    coeff = *pCoeffs++;
-
-    /* Read Index, from where the state buffer should be read, is calculated. */
-    readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
-
-    /* Wraparound of readIndex */
-    if(readIndex < 0)
-    {
-      readIndex += (int32_t) delaySize;
-    }
-
-    /* Decrement the tap loop counter */
-    tapCnt--;
-  }
-
-  /* Working output pointer is updated */
-  pOut = pDst;
-
-  /* Output is converted into 1.31 format. */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    in = *pOut << 1;
-    *pOut++ = in;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0 */
-
-}
-
-/**    
- * @} end of FIR_Sparse group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_q7.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_q7.c
deleted file mode 100644
index ace5d0703..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_q7.c
+++ /dev/null
@@ -1,398 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_fir_sparse_q7.c    
-*    
-* Description:	Q7 sparse FIR filter processing function.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* ------------------------------------------------------------------- */
-#include "arm_math.h"
-
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup FIR_Sparse    
- * @{    
- */
-
-
-/**   
- * @brief Processing function for the Q7 sparse FIR filter.   
- * @param[in]  *S           points to an instance of the Q7 sparse FIR structure.   
- * @param[in]  *pSrc        points to the block of input data.   
- * @param[out] *pDst        points to the block of output data   
- * @param[in]  *pScratchIn  points to a temporary buffer of size blockSize.   
- * @param[in]  *pScratchOut points to a temporary buffer of size blockSize.   
- * @param[in]  blockSize    number of input samples to process per call.   
- * @return none.   
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function is implemented using a 32-bit internal accumulator.    
- * Both coefficients and state variables are represented in 1.7 format and multiplications yield a 2.14 result.    
- * The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format.    
- * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.    
- * The accumulator is then converted to 18.7 format by discarding the low 7 bits.   
- * Finally, the result is truncated to 1.7 format.   
- */
-
-void arm_fir_sparse_q7(
-  arm_fir_sparse_instance_q7 * S,
-  q7_t * pSrc,
-  q7_t * pDst,
-  q7_t * pScratchIn,
-  q31_t * pScratchOut,
-  uint32_t blockSize)
-{
-
-  q7_t *pState = S->pState;                      /* State pointer */
-  q7_t *pCoeffs = S->pCoeffs;                    /* Coefficient pointer */
-  q7_t *px;                                      /* Scratch buffer pointer */
-  q7_t *py = pState;                             /* Temporary pointers for state buffer */
-  q7_t *pb = pScratchIn;                         /* Temporary pointers for scratch buffer */
-  q7_t *pOut = pDst;                             /* Destination pointer */
-  int32_t *pTapDelay = S->pTapDelay;             /* Pointer to the array containing offset of the non-zero tap values. */
-  uint32_t delaySize = S->maxDelay + blockSize;  /* state length */
-  uint16_t numTaps = S->numTaps;                 /* Filter order */
-  int32_t readIndex;                             /* Read index of the state buffer */
-  uint32_t tapCnt, blkCnt;                       /* loop counters */
-  q7_t coeff = *pCoeffs++;                       /* Read the coefficient value */
-  q31_t *pScr2 = pScratchOut;                    /* Working pointer for scratch buffer of output values */
-  q31_t in;
-
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q7_t in1, in2, in3, in4;
-
-  /* BlockSize of Input samples are copied into the state buffer */
-  /* StateIndex points to the starting position to write in the state buffer */
-  arm_circularWrite_q7(py, (int32_t) delaySize, &S->stateIndex, 1, pSrc, 1,
-                       blockSize);
-
-  /* Loop over the number of taps. */
-  tapCnt = numTaps;
-
-  /* Read Index, from where the state buffer should be read, is calculated. */
-  readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++;
-
-  /* Wraparound of readIndex */
-  if(readIndex < 0)
-  {
-    readIndex += (int32_t) delaySize;
-  }
-
-  /* Working pointer for state buffer is updated */
-  py = pState;
-
-  /* blockSize samples are read from the state buffer */
-  arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1, pb, pb,
-                      (int32_t) blockSize, 1, blockSize);
-
-  /* Working pointer for the scratch buffer of state values */
-  px = pb;
-
-  /* Working pointer for scratch buffer of output values */
-  pScratchOut = pScr2;
-
-  /* Loop over the blockSize. Unroll by a factor of 4.    
-   * Compute 4 multiplications at a time. */
-  blkCnt = blockSize >> 2;
-
-  while(blkCnt > 0u)
-  {
-    /* Perform multiplication and store in the scratch buffer */
-    *pScratchOut++ = ((q31_t) * px++ * coeff);
-    *pScratchOut++ = ((q31_t) * px++ * coeff);
-    *pScratchOut++ = ((q31_t) * px++ * coeff);
-    *pScratchOut++ = ((q31_t) * px++ * coeff);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4,    
-   * compute the remaining samples */
-  blkCnt = blockSize % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* Perform multiplication and store in the scratch buffer */
-    *pScratchOut++ = ((q31_t) * px++ * coeff);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Load the coefficient value and    
-   * increment the coefficient buffer for the next set of state values */
-  coeff = *pCoeffs++;
-
-  /* Read Index, from where the state buffer should be read, is calculated. */
-  readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++;
-
-  /* Wraparound of readIndex */
-  if(readIndex < 0)
-  {
-    readIndex += (int32_t) delaySize;
-  }
-
-  /* Loop over the number of taps. */
-  tapCnt = (uint32_t) numTaps - 1u;
-
-  while(tapCnt > 0u)
-  {
-    /* Working pointer for state buffer is updated */
-    py = pState;
-
-    /* blockSize samples are read from the state buffer */
-    arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1, pb, pb,
-                        (int32_t) blockSize, 1, blockSize);
-
-    /* Working pointer for the scratch buffer of state values */
-    px = pb;
-
-    /* Working pointer for scratch buffer of output values */
-    pScratchOut = pScr2;
-
-    /* Loop over the blockSize. Unroll by a factor of 4.    
-     * Compute 4 MACS at a time. */
-    blkCnt = blockSize >> 2;
-
-    while(blkCnt > 0u)
-    {
-      /* Perform Multiply-Accumulate */
-      in = *pScratchOut + ((q31_t) * px++ * coeff);
-      *pScratchOut++ = in;
-      in = *pScratchOut + ((q31_t) * px++ * coeff);
-      *pScratchOut++ = in;
-      in = *pScratchOut + ((q31_t) * px++ * coeff);
-      *pScratchOut++ = in;
-      in = *pScratchOut + ((q31_t) * px++ * coeff);
-      *pScratchOut++ = in;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the blockSize is not a multiple of 4,    
-     * compute the remaining samples */
-    blkCnt = blockSize % 0x4u;
-
-    while(blkCnt > 0u)
-    {
-      /* Perform Multiply-Accumulate */
-      in = *pScratchOut + ((q31_t) * px++ * coeff);
-      *pScratchOut++ = in;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* Load the coefficient value and    
-     * increment the coefficient buffer for the next set of state values */
-    coeff = *pCoeffs++;
-
-    /* Read Index, from where the state buffer should be read, is calculated. */
-    readIndex = ((int32_t) S->stateIndex -
-                 (int32_t) blockSize) - *pTapDelay++;
-
-    /* Wraparound of readIndex */
-    if(readIndex < 0)
-    {
-      readIndex += (int32_t) delaySize;
-    }
-
-    /* Decrement the tap loop counter */
-    tapCnt--;
-  }
-
-  /* All the output values are in pScratchOut buffer.    
-     Convert them into 1.15 format, saturate and store in the destination buffer. */
-  /* Loop over the blockSize. */
-  blkCnt = blockSize >> 2;
-
-  while(blkCnt > 0u)
-  {
-    in1 = (q7_t) __SSAT(*pScr2++ >> 7, 8);
-    in2 = (q7_t) __SSAT(*pScr2++ >> 7, 8);
-    in3 = (q7_t) __SSAT(*pScr2++ >> 7, 8);
-    in4 = (q7_t) __SSAT(*pScr2++ >> 7, 8);
-
-    *__SIMD32(pOut)++ = __PACKq7(in1, in2, in3, in4);
-
-    /* Decrement the blockSize loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4,    
-     remaining samples are processed in the below loop */
-  blkCnt = blockSize % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    *pOut++ = (q7_t) __SSAT(*pScr2++ >> 7, 8);
-
-    /* Decrement the blockSize loop counter */
-    blkCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* BlockSize of Input samples are copied into the state buffer */
-  /* StateIndex points to the starting position to write in the state buffer */
-  arm_circularWrite_q7(py, (int32_t) delaySize, &S->stateIndex, 1, pSrc, 1,
-                       blockSize);
-
-  /* Loop over the number of taps. */
-  tapCnt = numTaps;
-
-  /* Read Index, from where the state buffer should be read, is calculated. */
-  readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++;
-
-  /* Wraparound of readIndex */
-  if(readIndex < 0)
-  {
-    readIndex += (int32_t) delaySize;
-  }
-
-  /* Working pointer for state buffer is updated */
-  py = pState;
-
-  /* blockSize samples are read from the state buffer */
-  arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1, pb, pb,
-                      (int32_t) blockSize, 1, blockSize);
-
-  /* Working pointer for the scratch buffer of state values */
-  px = pb;
-
-  /* Working pointer for scratch buffer of output values */
-  pScratchOut = pScr2;
-
-  /* Loop over the blockSize */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* Perform multiplication and store in the scratch buffer */
-    *pScratchOut++ = ((q31_t) * px++ * coeff);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Load the coefficient value and           
-   * increment the coefficient buffer for the next set of state values */
-  coeff = *pCoeffs++;
-
-  /* Read Index, from where the state buffer should be read, is calculated. */
-  readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++;
-
-  /* Wraparound of readIndex */
-  if(readIndex < 0)
-  {
-    readIndex += (int32_t) delaySize;
-  }
-
-  /* Loop over the number of taps. */
-  tapCnt = (uint32_t) numTaps - 1u;
-
-  while(tapCnt > 0u)
-  {
-    /* Working pointer for state buffer is updated */
-    py = pState;
-
-    /* blockSize samples are read from the state buffer */
-    arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1, pb, pb,
-                        (int32_t) blockSize, 1, blockSize);
-
-    /* Working pointer for the scratch buffer of state values */
-    px = pb;
-
-    /* Working pointer for scratch buffer of output values */
-    pScratchOut = pScr2;
-
-    /* Loop over the blockSize */
-    blkCnt = blockSize;
-
-    while(blkCnt > 0u)
-    {
-      /* Perform Multiply-Accumulate */
-      in = *pScratchOut + ((q31_t) * px++ * coeff);
-      *pScratchOut++ = in;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* Load the coefficient value and           
-     * increment the coefficient buffer for the next set of state values */
-    coeff = *pCoeffs++;
-
-    /* Read Index, from where the state buffer should be read, is calculated. */
-    readIndex =
-      ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++;
-
-    /* Wraparound of readIndex */
-    if(readIndex < 0)
-    {
-      readIndex += (int32_t) delaySize;
-    }
-
-    /* Decrement the tap loop counter */
-    tapCnt--;
-  }
-
-  /* All the output values are in pScratchOut buffer.       
-     Convert them into 1.15 format, saturate and store in the destination buffer. */
-  /* Loop over the blockSize. */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    *pOut++ = (q7_t) __SSAT(*pScr2++ >> 7, 8);
-
-    /* Decrement the blockSize loop counter */
-    blkCnt--;
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0 */
-
-}
-
-/**    
- * @} end of FIR_Sparse group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_f32.c
deleted file mode 100644
index 074605553..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_f32.c
+++ /dev/null
@@ -1,440 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_iir_lattice_f32.c    
-*    
-* Description:	Floating-point IIR Lattice filter processing function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @defgroup IIR_Lattice Infinite Impulse Response (IIR) Lattice Filters    
- *    
- * This set of functions implements lattice filters    
- * for Q15, Q31 and floating-point data types.  Lattice filters are used in a     
- * variety of adaptive filter applications.  The filter structure has feedforward and    
- * feedback components and the net impulse response is infinite length.    
- * The functions operate on blocks    
- * of input and output data and each call to the function processes    
- * blockSize samples through the filter.  pSrc and    
- * pDst point to input and output arrays containing blockSize values.    
-    
- * \par Algorithm:    
- * \image html IIRLattice.gif "Infinite Impulse Response Lattice filter"    
- * 
    
- *    fN(n)   =  x(n)    
- *    fm-1(n) = fm(n) - km * gm-1(n-1)   for m = N, N-1, ...1    
- *    gm(n)   = km * fm-1(n) + gm-1(n-1) for m = N, N-1, ...1    
- *    y(n)    = vN * gN(n) + vN-1 * gN-1(n) + ...+ v0 * g0(n)    
- * 
    
- * \par    
- * pkCoeffs points to array of reflection coefficients of size numStages.     
- * Reflection coefficients are stored in time-reversed order.    
- * \par    
- * 
    
- *    {kN, kN-1, ....k1}    
- * 
    
- * pvCoeffs points to the array of ladder coefficients of size (numStages+1).     
- * Ladder coefficients are stored in time-reversed order.    
- * \par    
- * 
    
- *    {vN, vN-1, ...v0}    
- * 
    
- * pState points to a state array of size numStages + blockSize.    
- * The state variables shown in the figure above (the g values) are stored in the pState array.    
- * The state variables are updated after each block of data is processed; the coefficients are untouched.    
- * \par Instance Structure    
- * The coefficients and state variables for a filter are stored together in an instance data structure.    
- * A separate instance structure must be defined for each filter.    
- * Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.    
- * There are separate instance structure declarations for each of the 3 supported data types.    
-  *    
- * \par Initialization Functions    
- * There is also an associated initialization function for each data type.    
- * The initialization function performs the following operations:    
- * - Sets the values of the internal structure fields.    
- * - Zeros out the values in the state buffer.    
- *    
- * \par    
- * Use of the initialization function is optional.    
- * However, if the initialization function is used, then the instance structure cannot be placed into a const data section.    
- * To place an instance structure into a const data section, the instance structure must be manually initialized.    
- * Set the values in the state buffer to zeros and then manually initialize the instance structure as follows:    
- * 
    
- *arm_iir_lattice_instance_f32 S = {numStages, pState, pkCoeffs, pvCoeffs};    
- *arm_iir_lattice_instance_q31 S = {numStages, pState, pkCoeffs, pvCoeffs};    
- *arm_iir_lattice_instance_q15 S = {numStages, pState, pkCoeffs, pvCoeffs};    
- * 
    
- * \par    
- * where numStages is the number of stages in the filter; pState points to the state buffer array;    
- * pkCoeffs points to array of the reflection coefficients; pvCoeffs points to the array of ladder coefficients.    
- * \par Fixed-Point Behavior    
- * Care must be taken when using the fixed-point versions of the IIR lattice filter functions.    
- * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.    
- * Refer to the function specific documentation below for usage guidelines.    
- */
-
-/**    
- * @addtogroup IIR_Lattice    
- * @{    
- */
-
-/**    
- * @brief Processing function for the floating-point IIR lattice filter.    
- * @param[in] *S points to an instance of the floating-point IIR lattice structure.    
- * @param[in] *pSrc points to the block of input data.    
- * @param[out] *pDst points to the block of output data.    
- * @param[in] blockSize number of samples to process.    
- * @return none.    
- */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-void arm_iir_lattice_f32(
-  const arm_iir_lattice_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize)
-{
-  float32_t fnext1, gcurr1, gnext;               /* Temporary variables for lattice stages */
-  float32_t acc;                                 /* Accumlator */
-  uint32_t blkCnt, tapCnt;                       /* temporary variables for counts */
-  float32_t *px1, *px2, *pk, *pv;                /* temporary pointers for state and coef */
-  uint32_t numStages = S->numStages;             /* number of stages */
-  float32_t *pState;                             /* State pointer */
-  float32_t *pStateCurnt;                        /* State current pointer */
-  float32_t k1, k2;
-  float32_t v1, v2, v3, v4;
-  float32_t gcurr2;
-  float32_t fnext2;
-
-  /* initialise loop count */
-  blkCnt = blockSize;
-
-  /* initialise state pointer */
-  pState = &S->pState[0];
-
-  /* Sample processing */
-  while(blkCnt > 0u)
-  {
-    /* Read Sample from input buffer */
-    /* fN(n) = x(n) */
-    fnext2 = *pSrc++;
-
-    /* Initialize Ladder coeff pointer */
-    pv = &S->pvCoeffs[0];
-    /* Initialize Reflection coeff pointer */
-    pk = &S->pkCoeffs[0];
-
-    /* Initialize state read pointer */
-    px1 = pState;
-    /* Initialize state write pointer */
-    px2 = pState;
-
-    /* Set accumulator to zero */
-    acc = 0.0;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = (numStages) >> 2;
-
-    while(tapCnt > 0u)
-    {
-      /* Read gN-1(n-1) from state buffer */
-      gcurr1 = *px1;
-
-      /* read reflection coefficient kN */
-      k1 = *pk;
-
-      /* fN-1(n) = fN(n) - kN * gN-1(n-1) */
-      fnext1 = fnext2 - (k1 * gcurr1);
-
-      /* read ladder coefficient vN */
-      v1 = *pv;
-
-      /* read next reflection coefficient kN-1 */
-      k2 = *(pk + 1u);
-
-      /* Read gN-2(n-1) from state buffer */
-      gcurr2 = *(px1 + 1u);
-
-      /* read next ladder coefficient vN-1 */
-      v2 = *(pv + 1u);
-
-      /* fN-2(n) = fN-1(n) - kN-1 * gN-2(n-1) */
-      fnext2 = fnext1 - (k2 * gcurr2);
-
-      /* gN(n)   = kN * fN-1(n) + gN-1(n-1) */
-      gnext = gcurr1 + (k1 * fnext1);
-
-      /* read reflection coefficient kN-2 */
-      k1 = *(pk + 2u);
-
-      /* write gN(n) into state for next sample processing */
-      *px2++ = gnext;
-
-      /* Read gN-3(n-1) from state buffer */
-      gcurr1 = *(px1 + 2u);
-
-      /* y(n) += gN(n) * vN  */
-      acc += (gnext * v1);
-
-      /* fN-3(n) = fN-2(n) - kN-2 * gN-3(n-1) */
-      fnext1 = fnext2 - (k1 * gcurr1);
-
-      /* gN-1(n)   = kN-1 * fN-2(n) + gN-2(n-1) */
-      gnext = gcurr2 + (k2 * fnext2);
-
-      /* Read gN-4(n-1) from state buffer */
-      gcurr2 = *(px1 + 3u);
-
-      /* y(n) += gN-1(n) * vN-1  */
-      acc += (gnext * v2);
-
-      /* read reflection coefficient kN-3 */
-      k2 = *(pk + 3u);
-
-      /* write gN-1(n) into state for next sample processing */
-      *px2++ = gnext;
-
-      /* fN-4(n) = fN-3(n) - kN-3 * gN-4(n-1) */
-      fnext2 = fnext1 - (k2 * gcurr2);
-
-      /* gN-2(n) = kN-2 * fN-3(n) + gN-3(n-1) */
-      gnext = gcurr1 + (k1 * fnext1);
-
-      /* read ladder coefficient vN-2 */
-      v3 = *(pv + 2u);
-
-      /* y(n) += gN-2(n) * vN-2  */
-      acc += (gnext * v3);
-
-      /* write gN-2(n) into state for next sample processing */
-      *px2++ = gnext;
-
-      /* update pointer */
-      pk += 4u;
-
-      /* gN-3(n) = kN-3 * fN-4(n) + gN-4(n-1) */
-      gnext = (fnext2 * k2) + gcurr2;
-
-      /* read next ladder coefficient vN-3 */
-      v4 = *(pv + 3u);
-
-      /* y(n) += gN-4(n) * vN-4  */
-      acc += (gnext * v4);
-
-      /* write gN-3(n) into state for next sample processing */
-      *px2++ = gnext;
-
-      /* update pointers */
-      px1 += 4u;
-      pv += 4u;
-
-      tapCnt--;
-
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = (numStages) % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      gcurr1 = *px1++;
-      /* Process sample for last taps */
-      fnext1 = fnext2 - ((*pk) * gcurr1);
-      gnext = (fnext1 * (*pk++)) + gcurr1;
-      /* Output samples for last taps */
-      acc += (gnext * (*pv++));
-      *px2++ = gnext;
-      fnext2 = fnext1;
-
-      tapCnt--;
-
-    }
-
-    /* y(n) += g0(n) * v0 */
-    acc += (fnext2 * (*pv));
-
-    *px2++ = fnext2;
-
-    /* write out into pDst */
-    *pDst++ = acc;
-
-    /* Advance the state pointer by 4 to process the next group of 4 samples */
-    pState = pState + 1u;
-
-    blkCnt--;
-
-  }
-
-  /* Processing is complete. Now copy last S->numStages samples to start of the buffer        
-     for the preperation of next frame process */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = &S->pState[0];
-  pState = &S->pState[blockSize];
-
-  tapCnt = numStages >> 2u;
-
-  /* copy data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-
-  }
-
-  /* Calculate remaining number of copies */
-  tapCnt = (numStages) % 0x4u;
-
-  /* Copy the remaining q31_t data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-}
-
-#else
-
-void arm_iir_lattice_f32(
-  const arm_iir_lattice_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize)
-{
-  float32_t fcurr, fnext = 0, gcurr, gnext;      /* Temporary variables for lattice stages */
-  float32_t acc;                                 /* Accumlator */
-  uint32_t blkCnt, tapCnt;                       /* temporary variables for counts */
-  float32_t *px1, *px2, *pk, *pv;                /* temporary pointers for state and coef */
-  uint32_t numStages = S->numStages;             /* number of stages */
-  float32_t *pState;                             /* State pointer */
-  float32_t *pStateCurnt;                        /* State current pointer */
-
-
-  /* Run the below code for Cortex-M0 */
-
-  blkCnt = blockSize;
-
-  pState = &S->pState[0];
-
-  /* Sample processing */
-  while(blkCnt > 0u)
-  {
-    /* Read Sample from input buffer */
-    /* fN(n) = x(n) */
-    fcurr = *pSrc++;
-
-    /* Initialize state read pointer */
-    px1 = pState;
-    /* Initialize state write pointer */
-    px2 = pState;
-    /* Set accumulator to zero */
-    acc = 0.0f;
-    /* Initialize Ladder coeff pointer */
-    pv = &S->pvCoeffs[0];
-    /* Initialize Reflection coeff pointer */
-    pk = &S->pkCoeffs[0];
-
-
-    /* Process sample for numStages */
-    tapCnt = numStages;
-
-    while(tapCnt > 0u)
-    {
-      gcurr = *px1++;
-      /* Process sample for last taps */
-      fnext = fcurr - ((*pk) * gcurr);
-      gnext = (fnext * (*pk++)) + gcurr;
-
-      /* Output samples for last taps */
-      acc += (gnext * (*pv++));
-      *px2++ = gnext;
-      fcurr = fnext;
-
-      /* Decrementing loop counter */
-      tapCnt--;
-
-    }
-
-    /* y(n) += g0(n) * v0 */
-    acc += (fnext * (*pv));
-
-    *px2++ = fnext;
-
-    /* write out into pDst */
-    *pDst++ = acc;
-
-    /* Advance the state pointer by 1 to process the next group of samples */
-    pState = pState + 1u;
-    blkCnt--;
-
-  }
-
-  /* Processing is complete. Now copy last S->numStages samples to start of the buffer           
-     for the preperation of next frame process */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = &S->pState[0];
-  pState = &S->pState[blockSize];
-
-  tapCnt = numStages;
-
-  /* Copy the data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-}
-
-#endif /*   #ifndef ARM_MATH_CM0 */
-
-
-/**    
- * @} end of IIR_Lattice group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_init_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_init_f32.c
deleted file mode 100644
index 89c00c24d..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_init_f32.c
+++ /dev/null
@@ -1,86 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_iir_lattice_init_f32.c    
-*    
-* Description:  Floating-point IIR lattice filter initialization function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup IIR_Lattice    
- * @{    
- */
-
-/**    
- * @brief Initialization function for the floating-point IIR lattice filter.    
- * @param[in] *S points to an instance of the floating-point IIR lattice structure.    
- * @param[in] numStages number of stages in the filter.    
- * @param[in] *pkCoeffs points to the reflection coefficient buffer.  The array is of length numStages.    
- * @param[in] *pvCoeffs points to the ladder coefficient buffer.  The array is of length numStages+1.    
- * @param[in] *pState points to the state buffer.  The array is of length numStages+blockSize.    
- * @param[in] blockSize number of samples to process.    
- * @return none.    
- */
-
-void arm_iir_lattice_init_f32(
-  arm_iir_lattice_instance_f32 * S,
-  uint16_t numStages,
-  float32_t * pkCoeffs,
-  float32_t * pvCoeffs,
-  float32_t * pState,
-  uint32_t blockSize)
-{
-  /* Assign filter taps */
-  S->numStages = numStages;
-
-  /* Assign reflection coefficient pointer */
-  S->pkCoeffs = pkCoeffs;
-
-  /* Assign ladder coefficient pointer */
-  S->pvCoeffs = pvCoeffs;
-
-  /* Clear state buffer and size is always blockSize + numStages */
-  memset(pState, 0, (numStages + blockSize) * sizeof(float32_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-
-}
-
-  /**    
-   * @} end of IIR_Lattice group    
-   */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_init_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_init_q15.c
deleted file mode 100644
index 7dac99fca..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_init_q15.c
+++ /dev/null
@@ -1,86 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_iir_lattice_init_q15.c    
-*    
-* Description:  Q15 IIR lattice filter initialization function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup IIR_Lattice    
- * @{    
- */
-
-  /**    
-   * @brief Initialization function for the Q15 IIR lattice filter.    
-   * @param[in] *S points to an instance of the Q15 IIR lattice structure.    
-   * @param[in] numStages  number of stages in the filter.    
-   * @param[in] *pkCoeffs points to reflection coefficient buffer.  The array is of length numStages.    
-   * @param[in] *pvCoeffs points to ladder coefficient buffer.  The array is of length numStages+1.    
-   * @param[in] *pState points to state buffer.  The array is of length numStages+blockSize.    
-   * @param[in] blockSize number of samples to process per call.    
-   * @return none.    
-   */
-
-void arm_iir_lattice_init_q15(
-  arm_iir_lattice_instance_q15 * S,
-  uint16_t numStages,
-  q15_t * pkCoeffs,
-  q15_t * pvCoeffs,
-  q15_t * pState,
-  uint32_t blockSize)
-{
-  /* Assign filter taps */
-  S->numStages = numStages;
-
-  /* Assign reflection coefficient pointer */
-  S->pkCoeffs = pkCoeffs;
-
-  /* Assign ladder coefficient pointer */
-  S->pvCoeffs = pvCoeffs;
-
-  /* Clear state buffer and size is always blockSize + numStages */
-  memset(pState, 0, (numStages + blockSize) * sizeof(q15_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-
-}
-
-/**    
- * @} end of IIR_Lattice group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_init_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_init_q31.c
deleted file mode 100644
index 73b18a597..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_init_q31.c
+++ /dev/null
@@ -1,86 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_iir_lattice_init_q31.c    
-*    
-* Description:  Initialization function for the Q31 IIR lattice filter.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup IIR_Lattice    
- * @{    
- */
-
-  /**    
-   * @brief Initialization function for the Q31 IIR lattice filter.    
-   * @param[in] *S points to an instance of the Q31 IIR lattice structure.    
-   * @param[in] numStages number of stages in the filter.    
-   * @param[in] *pkCoeffs points to the reflection coefficient buffer.  The array is of length numStages.    
-   * @param[in] *pvCoeffs points to the ladder coefficient buffer.  The array is of length numStages+1.    
-   * @param[in] *pState points to the state buffer.  The array is of length numStages+blockSize.    
-   * @param[in] blockSize number of samples to process.    
-   * @return none.    
-   */
-
-void arm_iir_lattice_init_q31(
-  arm_iir_lattice_instance_q31 * S,
-  uint16_t numStages,
-  q31_t * pkCoeffs,
-  q31_t * pvCoeffs,
-  q31_t * pState,
-  uint32_t blockSize)
-{
-  /* Assign filter taps */
-  S->numStages = numStages;
-
-  /* Assign reflection coefficient pointer */
-  S->pkCoeffs = pkCoeffs;
-
-  /* Assign ladder coefficient pointer */
-  S->pvCoeffs = pvCoeffs;
-
-  /* Clear state buffer and size is always blockSize + numStages */
-  memset(pState, 0, (numStages + blockSize) * sizeof(q31_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-
-}
-
-/**    
- * @} end of IIR_Lattice group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_q15.c
deleted file mode 100644
index 5f0f891d1..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_q15.c
+++ /dev/null
@@ -1,457 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_iir_lattice_q15.c    
-*    
-* Description:	Q15 IIR lattice filter processing function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup IIR_Lattice    
- * @{    
- */
-
-/**    
- * @brief Processing function for the Q15 IIR lattice filter.    
- * @param[in] *S points to an instance of the Q15 IIR lattice structure.    
- * @param[in] *pSrc points to the block of input data.    
- * @param[out] *pDst points to the block of output data.    
- * @param[in] blockSize number of samples to process.    
- * @return none.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function is implemented using a 64-bit internal accumulator.    
- * Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result.    
- * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.    
- * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.    
- * After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits.    
- * Lastly, the accumulator is saturated to yield a result in 1.15 format.    
- */
-
-void arm_iir_lattice_q15(
-  const arm_iir_lattice_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q31_t fcurr, fnext, gcurr = 0, gnext;          /* Temporary variables for lattice stages */
-  q15_t gnext1, gnext2;                          /* Temporary variables for lattice stages */
-  uint32_t stgCnt;                               /* Temporary variables for counts */
-  q63_t acc;                                     /* Accumlator */
-  uint32_t blkCnt, tapCnt;                       /* Temporary variables for counts */
-  q15_t *px1, *px2, *pk, *pv;                    /* temporary pointers for state and coef */
-  uint32_t numStages = S->numStages;             /* number of stages */
-  q15_t *pState;                                 /* State pointer */
-  q15_t *pStateCurnt;                            /* State current pointer */
-  q15_t out;                                     /* Temporary variable for output */
-  q15_t v1, v2;
-  q31_t v;                                       /* Temporary variable for ladder coefficient */
-
-
-  blkCnt = blockSize;
-
-  pState = &S->pState[0];
-
-  /* Sample processing */
-  while(blkCnt > 0u)
-  {
-    /* Read Sample from input buffer */
-    /* fN(n) = x(n) */
-    fcurr = *pSrc++;
-
-    /* Initialize state read pointer */
-    px1 = pState;
-    /* Initialize state write pointer */
-    px2 = pState;
-    /* Set accumulator to zero */
-    acc = 0;
-    /* Initialize Ladder coeff pointer */
-    pv = &S->pvCoeffs[0];
-    /* Initialize Reflection coeff pointer */
-    pk = &S->pkCoeffs[0];
-
-
-    /* Process sample for first tap */
-    gcurr = *px1++;
-    /* fN-1(n) = fN(n) - kN * gN-1(n-1) */
-    fnext = fcurr - (((q31_t) gcurr * (*pk)) >> 15);
-    fnext = __SSAT(fnext, 16);
-    /* gN(n) = kN * fN-1(n) + gN-1(n-1) */
-    gnext = (((q31_t) fnext * (*pk++)) >> 15) + gcurr;
-    gnext = __SSAT(gnext, 16);
-    /* write gN(n) into state for next sample processing */
-    *px2++ = (q15_t) gnext;
-    /* y(n) += gN(n) * vN  */
-    acc += (q31_t) ((gnext * (*pv++)));
-
-
-    /* Update f values for next coefficient processing */
-    fcurr = fnext;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = (numStages - 1u) >> 2;
-
-    while(tapCnt > 0u)
-    {
-
-      /* Process sample for 2nd, 6th ...taps */
-      /* Read gN-2(n-1) from state buffer */
-      gcurr = *px1++;
-      /* Process sample for 2nd, 6th .. taps */
-      /* fN-2(n) = fN-1(n) - kN-1 * gN-2(n-1) */
-      fnext = fcurr - (((q31_t) gcurr * (*pk)) >> 15);
-      fnext = __SSAT(fnext, 16);
-      /* gN-1(n) = kN-1 * fN-2(n) + gN-2(n-1) */
-      gnext = (((q31_t) fnext * (*pk++)) >> 15) + gcurr;
-      gnext1 = (q15_t) __SSAT(gnext, 16);
-      /* write gN-1(n) into state */
-      *px2++ = (q15_t) gnext1;
-
-
-      /* Process sample for 3nd, 7th ...taps */
-      /* Read gN-3(n-1) from state */
-      gcurr = *px1++;
-      /* Process sample for 3rd, 7th .. taps */
-      /* fN-3(n) = fN-2(n) - kN-2 * gN-3(n-1) */
-      fcurr = fnext - (((q31_t) gcurr * (*pk)) >> 15);
-      fcurr = __SSAT(fcurr, 16);
-      /* gN-2(n) = kN-2 * fN-3(n) + gN-3(n-1) */
-      gnext = (((q31_t) fcurr * (*pk++)) >> 15) + gcurr;
-      gnext2 = (q15_t) __SSAT(gnext, 16);
-      /* write gN-2(n) into state */
-      *px2++ = (q15_t) gnext2;
-
-      /* Read vN-1 and vN-2 at a time */
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-      v = *__SIMD32(pv)++;
-
-#else
-
-	  v1 = *pv++;
-	  v2 = *pv++;
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-	  v = __PKHBT(v1, v2, 16);
-
-#else
-
-	  v = __PKHBT(v2, v1, 16);
-
-#endif	/* 	#ifndef ARM_MATH_BIG_ENDIAN		*/
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE */
-
-
-      /* Pack gN-1(n) and gN-2(n) */
-
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-      gnext = __PKHBT(gnext1, gnext2, 16);
-
-#else
-
-      gnext = __PKHBT(gnext2, gnext1, 16);
-
-#endif /*   #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-      /* y(n) += gN-1(n) * vN-1  */
-      /* process for gN-5(n) * vN-5, gN-9(n) * vN-9 ... */
-      /* y(n) += gN-2(n) * vN-2  */
-      /* process for gN-6(n) * vN-6, gN-10(n) * vN-10 ... */
-      acc = __SMLALD(gnext, v, acc);
-
-
-      /* Process sample for 4th, 8th ...taps */
-      /* Read gN-4(n-1) from state */
-      gcurr = *px1++;
-      /* Process sample for 4th, 8th .. taps */
-      /* fN-4(n) = fN-3(n) - kN-3 * gN-4(n-1) */
-      fnext = fcurr - (((q31_t) gcurr * (*pk)) >> 15);
-      fnext = __SSAT(fnext, 16);
-      /* gN-3(n) = kN-3 * fN-1(n) + gN-1(n-1) */
-      gnext = (((q31_t) fnext * (*pk++)) >> 15) + gcurr;
-      gnext1 = (q15_t) __SSAT(gnext, 16);
-      /* write  gN-3(n) for the next sample process */
-      *px2++ = (q15_t) gnext1;
-
-
-      /* Process sample for 5th, 9th ...taps */
-      /* Read gN-5(n-1) from state */
-      gcurr = *px1++;
-      /* Process sample for 5th, 9th .. taps */
-      /* fN-5(n) = fN-4(n) - kN-4 * gN-5(n-1) */
-      fcurr = fnext - (((q31_t) gcurr * (*pk)) >> 15);
-      fcurr = __SSAT(fcurr, 16);
-      /* gN-4(n) = kN-4 * fN-5(n) + gN-5(n-1) */
-      gnext = (((q31_t) fcurr * (*pk++)) >> 15) + gcurr;
-      gnext2 = (q15_t) __SSAT(gnext, 16);
-      /* write      gN-4(n) for the next sample process */
-      *px2++ = (q15_t) gnext2;
-
-      /* Read vN-3 and vN-4 at a time */
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-      v = *__SIMD32(pv)++;
-
-#else
-
-	  v1 = *pv++;
-	  v2 = *pv++;
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-	  v = __PKHBT(v1, v2, 16);
-
-#else
-
-	  v = __PKHBT(v2, v1, 16);
-
-#endif	/* #ifndef ARM_MATH_BIG_ENDIAN	 */
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE */
-
-
-      /* Pack gN-3(n) and gN-4(n) */
-#ifndef  ARM_MATH_BIG_ENDIAN
-
-      gnext = __PKHBT(gnext1, gnext2, 16);
-
-#else
-
-      gnext = __PKHBT(gnext2, gnext1, 16);
-
-#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
-
-      /* y(n) += gN-4(n) * vN-4  */
-      /* process for gN-8(n) * vN-8, gN-12(n) * vN-12 ... */
-      /* y(n) += gN-3(n) * vN-3  */
-      /* process for gN-7(n) * vN-7, gN-11(n) * vN-11 ... */
-      acc = __SMLALD(gnext, v, acc);
-
-      tapCnt--;
-
-    }
-
-    fnext = fcurr;
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = (numStages - 1u) % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      gcurr = *px1++;
-      /* Process sample for last taps */
-      fnext = fcurr - (((q31_t) gcurr * (*pk)) >> 15);
-      fnext = __SSAT(fnext, 16);
-      gnext = (((q31_t) fnext * (*pk++)) >> 15) + gcurr;
-      gnext = __SSAT(gnext, 16);
-      /* Output samples for last taps */
-      acc += (q31_t) (((q31_t) gnext * (*pv++)));
-      *px2++ = (q15_t) gnext;
-      fcurr = fnext;
-
-      tapCnt--;
-    }
-
-    /* y(n) += g0(n) * v0 */
-    acc += (q31_t) (((q31_t) fnext * (*pv++)));
-
-    out = (q15_t) __SSAT(acc >> 15, 16);
-    *px2++ = (q15_t) fnext;
-
-    /* write out into pDst */
-    *pDst++ = out;
-
-    /* Advance the state pointer by 4 to process the next group of 4 samples */
-    pState = pState + 1u;
-    blkCnt--;
-
-  }
-
-  /* Processing is complete. Now copy last S->numStages samples to start of the buffer    
-     for the preperation of next frame process */
-  /* Points to the start of the state buffer */
-  pStateCurnt = &S->pState[0];
-  pState = &S->pState[blockSize];
-
-  stgCnt = (numStages >> 2u);
-
-  /* copy data */
-  while(stgCnt > 0u)
-  {
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
-    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
-
-#else
-
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-#endif /*	#ifndef UNALIGNED_SUPPORT_DISABLE */
-
-    /* Decrement the loop counter */
-    stgCnt--;
-
-  }
-
-  /* Calculation of count for remaining q15_t data */
-  stgCnt = (numStages) % 0x4u;
-
-  /* copy data */
-  while(stgCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    stgCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  q31_t fcurr, fnext = 0, gcurr = 0, gnext;      /* Temporary variables for lattice stages */
-  uint32_t stgCnt;                               /* Temporary variables for counts */
-  q63_t acc;                                     /* Accumlator */
-  uint32_t blkCnt, tapCnt;                       /* Temporary variables for counts */
-  q15_t *px1, *px2, *pk, *pv;                    /* temporary pointers for state and coef */
-  uint32_t numStages = S->numStages;             /* number of stages */
-  q15_t *pState;                                 /* State pointer */
-  q15_t *pStateCurnt;                            /* State current pointer */
-  q15_t out;                                     /* Temporary variable for output */
-
-
-  blkCnt = blockSize;
-
-  pState = &S->pState[0];
-
-  /* Sample processing */
-  while(blkCnt > 0u)
-  {
-    /* Read Sample from input buffer */
-    /* fN(n) = x(n) */
-    fcurr = *pSrc++;
-
-    /* Initialize state read pointer */
-    px1 = pState;
-    /* Initialize state write pointer */
-    px2 = pState;
-    /* Set accumulator to zero */
-    acc = 0;
-    /* Initialize Ladder coeff pointer */
-    pv = &S->pvCoeffs[0];
-    /* Initialize Reflection coeff pointer */
-    pk = &S->pkCoeffs[0];
-
-    tapCnt = numStages;
-
-    while(tapCnt > 0u)
-    {
-      gcurr = *px1++;
-      /* Process sample */
-      /* fN-1(n) = fN(n) - kN * gN-1(n-1) */
-      fnext = fcurr - ((gcurr * (*pk)) >> 15);
-      fnext = __SSAT(fnext, 16);
-      /* gN(n) = kN * fN-1(n) + gN-1(n-1) */
-      gnext = ((fnext * (*pk++)) >> 15) + gcurr;
-      gnext = __SSAT(gnext, 16);
-      /* Output samples */
-      /* y(n) += gN(n) * vN */
-      acc += (q31_t) ((gnext * (*pv++)));
-      /* write gN(n) into state for next sample processing */
-      *px2++ = (q15_t) gnext;
-      /* Update f values for next coefficient processing */
-      fcurr = fnext;
-
-      tapCnt--;
-    }
-
-    /* y(n) += g0(n) * v0 */
-    acc += (q31_t) ((fnext * (*pv++)));
-
-    out = (q15_t) __SSAT(acc >> 15, 16);
-    *px2++ = (q15_t) fnext;
-
-    /* write out into pDst */
-    *pDst++ = out;
-
-    /* Advance the state pointer by 1 to process the next group of samples */
-    pState = pState + 1u;
-    blkCnt--;
-
-  }
-
-  /* Processing is complete. Now copy last S->numStages samples to start of the buffer           
-     for the preperation of next frame process */
-  /* Points to the start of the state buffer */
-  pStateCurnt = &S->pState[0];
-  pState = &S->pState[blockSize];
-
-  stgCnt = numStages;
-
-  /* copy data */
-  while(stgCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    stgCnt--;
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0 */
-
-}
-
-
-
-
-/**    
- * @} end of IIR_Lattice group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_q31.c
deleted file mode 100644
index adfd4dfb5..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_q31.c
+++ /dev/null
@@ -1,345 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_iir_lattice_q31.c    
-*    
-* Description:	Q31 IIR lattice filter processing function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup IIR_Lattice    
- * @{    
- */
-
-/**    
- * @brief Processing function for the Q31 IIR lattice filter.    
- * @param[in] *S points to an instance of the Q31 IIR lattice structure.    
- * @param[in] *pSrc points to the block of input data.    
- * @param[out] *pDst points to the block of output data.    
- * @param[in] blockSize number of samples to process.    
- * @return none.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function is implemented using an internal 64-bit accumulator.    
- * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.    
- * Thus, if the accumulator result overflows it wraps around rather than clip.    
- * In order to avoid overflows completely the input signal must be scaled down by 2*log2(numStages) bits.    
- * After all multiply-accumulates are performed, the 2.62 accumulator is saturated to 1.32 format and then truncated to 1.31 format.    
- */
-
-void arm_iir_lattice_q31(
-  const arm_iir_lattice_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize)
-{
-  q31_t fcurr, fnext = 0, gcurr = 0, gnext;      /* Temporary variables for lattice stages */
-  q63_t acc;                                     /* Accumlator */
-  uint32_t blkCnt, tapCnt;                       /* Temporary variables for counts */
-  q31_t *px1, *px2, *pk, *pv;                    /* Temporary pointers for state and coef */
-  uint32_t numStages = S->numStages;             /* number of stages */
-  q31_t *pState;                                 /* State pointer */
-  q31_t *pStateCurnt;                            /* State current pointer */
-
-  blkCnt = blockSize;
-
-  pState = &S->pState[0];
-
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /* Sample processing */
-  while(blkCnt > 0u)
-  {
-    /* Read Sample from input buffer */
-    /* fN(n) = x(n) */
-    fcurr = *pSrc++;
-
-    /* Initialize state read pointer */
-    px1 = pState;
-    /* Initialize state write pointer */
-    px2 = pState;
-    /* Set accumulator to zero */
-    acc = 0;
-    /* Initialize Ladder coeff pointer */
-    pv = &S->pvCoeffs[0];
-    /* Initialize Reflection coeff pointer */
-    pk = &S->pkCoeffs[0];
-
-
-    /* Process sample for first tap */
-    gcurr = *px1++;
-    /* fN-1(n) = fN(n) - kN * gN-1(n-1) */
-    fnext = __QSUB(fcurr, (q31_t) (((q63_t) gcurr * (*pk)) >> 31));
-    /* gN(n) = kN * fN-1(n) + gN-1(n-1) */
-    gnext = __QADD(gcurr, (q31_t) (((q63_t) fnext * (*pk++)) >> 31));
-    /* write gN-1(n-1) into state for next sample processing */
-    *px2++ = gnext;
-    /* y(n) += gN(n) * vN  */
-    acc += ((q63_t) gnext * *pv++);
-
-    /* Update f values for next coefficient processing */
-    fcurr = fnext;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = (numStages - 1u) >> 2;
-
-    while(tapCnt > 0u)
-    {
-
-      /* Process sample for 2nd, 6th .. taps */
-      /* Read gN-2(n-1) from state buffer */
-      gcurr = *px1++;
-      /* fN-2(n) = fN-1(n) - kN-1 * gN-2(n-1) */
-      fnext = __QSUB(fcurr, (q31_t) (((q63_t) gcurr * (*pk)) >> 31));
-      /* gN-1(n) = kN-1 * fN-2(n) + gN-2(n-1) */
-      gnext = __QADD(gcurr, (q31_t) (((q63_t) fnext * (*pk++)) >> 31));
-      /* y(n) += gN-1(n) * vN-1  */
-      /* process for gN-5(n) * vN-5, gN-9(n) * vN-9 ... */
-      acc += ((q63_t) gnext * *pv++);
-      /* write gN-1(n) into state for next sample processing */
-      *px2++ = gnext;
-
-      /* Process sample for 3nd, 7th ...taps */
-      /* Read gN-3(n-1) from state buffer */
-      gcurr = *px1++;
-      /* Process sample for 3rd, 7th .. taps */
-      /* fN-3(n) = fN-2(n) - kN-2 * gN-3(n-1) */
-      fcurr = __QSUB(fnext, (q31_t) (((q63_t) gcurr * (*pk)) >> 31));
-      /* gN-2(n) = kN-2 * fN-3(n) + gN-3(n-1) */
-      gnext = __QADD(gcurr, (q31_t) (((q63_t) fcurr * (*pk++)) >> 31));
-      /* y(n) += gN-2(n) * vN-2  */
-      /* process for gN-6(n) * vN-6, gN-10(n) * vN-10 ... */
-      acc += ((q63_t) gnext * *pv++);
-      /* write gN-2(n) into state for next sample processing */
-      *px2++ = gnext;
-
-
-      /* Process sample for 4th, 8th ...taps */
-      /* Read gN-4(n-1) from state buffer */
-      gcurr = *px1++;
-      /* Process sample for 4th, 8th .. taps */
-      /* fN-4(n) = fN-3(n) - kN-3 * gN-4(n-1) */
-      fnext = __QSUB(fcurr, (q31_t) (((q63_t) gcurr * (*pk)) >> 31));
-      /* gN-3(n) = kN-3 * fN-4(n) + gN-4(n-1) */
-      gnext = __QADD(gcurr, (q31_t) (((q63_t) fnext * (*pk++)) >> 31));
-      /* y(n) += gN-3(n) * vN-3  */
-      /* process for gN-7(n) * vN-7, gN-11(n) * vN-11 ... */
-      acc += ((q63_t) gnext * *pv++);
-      /* write gN-3(n) into state for next sample processing */
-      *px2++ = gnext;
-
-
-      /* Process sample for 5th, 9th ...taps */
-      /* Read gN-5(n-1) from state buffer */
-      gcurr = *px1++;
-      /* Process sample for 5th, 9th .. taps */
-      /* fN-5(n) = fN-4(n) - kN-4 * gN-1(n-1) */
-      fcurr = __QSUB(fnext, (q31_t) (((q63_t) gcurr * (*pk)) >> 31));
-      /* gN-4(n) = kN-4 * fN-5(n) + gN-5(n-1) */
-      gnext = __QADD(gcurr, (q31_t) (((q63_t) fcurr * (*pk++)) >> 31));
-      /* y(n) += gN-4(n) * vN-4  */
-      /* process for gN-8(n) * vN-8, gN-12(n) * vN-12 ... */
-      acc += ((q63_t) gnext * *pv++);
-      /* write gN-4(n) into state for next sample processing */
-      *px2++ = gnext;
-
-      tapCnt--;
-
-    }
-
-    fnext = fcurr;
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = (numStages - 1u) % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      gcurr = *px1++;
-      /* Process sample for last taps */
-      fnext = __QSUB(fcurr, (q31_t) (((q63_t) gcurr * (*pk)) >> 31));
-      gnext = __QADD(gcurr, (q31_t) (((q63_t) fnext * (*pk++)) >> 31));
-      /* Output samples for last taps */
-      acc += ((q63_t) gnext * *pv++);
-      *px2++ = gnext;
-      fcurr = fnext;
-
-      tapCnt--;
-
-    }
-
-    /* y(n) += g0(n) * v0 */
-    acc += (q63_t) fnext *(
-  *pv++);
-
-    *px2++ = fnext;
-
-    /* write out into pDst */
-    *pDst++ = (q31_t) (acc >> 31u);
-
-    /* Advance the state pointer by 4 to process the next group of 4 samples */
-    pState = pState + 1u;
-    blkCnt--;
-
-  }
-
-  /* Processing is complete. Now copy last S->numStages samples to start of the buffer    
-     for the preperation of next frame process */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = &S->pState[0];
-  pState = &S->pState[blockSize];
-
-  tapCnt = numStages >> 2u;
-
-  /* copy data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-
-  }
-
-  /* Calculate remaining number of copies */
-  tapCnt = (numStages) % 0x4u;
-
-  /* Copy the remaining q31_t data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  };
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  /* Sample processing */
-  while(blkCnt > 0u)
-  {
-    /* Read Sample from input buffer */
-    /* fN(n) = x(n) */
-    fcurr = *pSrc++;
-
-    /* Initialize state read pointer */
-    px1 = pState;
-    /* Initialize state write pointer */
-    px2 = pState;
-    /* Set accumulator to zero */
-    acc = 0;
-    /* Initialize Ladder coeff pointer */
-    pv = &S->pvCoeffs[0];
-    /* Initialize Reflection coeff pointer */
-    pk = &S->pkCoeffs[0];
-
-    tapCnt = numStages;
-
-    while(tapCnt > 0u)
-    {
-      gcurr = *px1++;
-      /* Process sample */
-      /* fN-1(n) = fN(n) - kN * gN-1(n-1) */
-      fnext =
-        clip_q63_to_q31(((q63_t) fcurr -
-                         ((q31_t) (((q63_t) gcurr * (*pk)) >> 31))));
-      /* gN(n) = kN * fN-1(n) + gN-1(n-1) */
-      gnext =
-        clip_q63_to_q31(((q63_t) gcurr +
-                         ((q31_t) (((q63_t) fnext * (*pk++)) >> 31))));
-      /* Output samples */
-      /* y(n) += gN(n) * vN  */
-      acc += ((q63_t) gnext * *pv++);
-      /* write gN-1(n-1) into state for next sample processing */
-      *px2++ = gnext;
-      /* Update f values for next coefficient processing */
-      fcurr = fnext;
-
-      tapCnt--;
-    }
-
-    /* y(n) += g0(n) * v0 */
-    acc += (q63_t) fnext *(
-  *pv++);
-
-    *px2++ = fnext;
-
-    /* write out into pDst */
-    *pDst++ = (q31_t) (acc >> 31u);
-
-    /* Advance the state pointer by 1 to process the next group of samples */
-    pState = pState + 1u;
-    blkCnt--;
-
-  }
-
-  /* Processing is complete. Now copy last S->numStages samples to start of the buffer           
-     for the preperation of next frame process */
-
-  /* Points to the start of the state buffer */
-  pStateCurnt = &S->pState[0];
-  pState = &S->pState[blockSize];
-
-  tapCnt = numStages;
-
-  /* Copy the remaining q31_t data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0 */
-
-}
-
-
-
-
-/**    
- * @} end of IIR_Lattice group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_f32.c
deleted file mode 100644
index 90fa8ae1e..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_f32.c
+++ /dev/null
@@ -1,434 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_lms_f32.c    
-*    
-* Description:	Processing function for the floating-point LMS filter.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @defgroup LMS Least Mean Square (LMS) Filters    
- *    
- * LMS filters are a class of adaptive filters that are able to "learn" an unknown transfer functions.    
- * LMS filters use a gradient descent method in which the filter coefficients are updated based on the instantaneous error signal.    
- * Adaptive filters are often used in communication systems, equalizers, and noise removal.    
- * The CMSIS DSP Library contains LMS filter functions that operate on Q15, Q31, and floating-point data types.    
- * The library also contains normalized LMS filters in which the filter coefficient adaptation is indepedent of the level of the input signal.    
- *    
- * An LMS filter consists of two components as shown below.    
- * The first component is a standard transversal or FIR filter.    
- * The second component is a coefficient update mechanism.    
- * The LMS filter has two input signals.    
- * The "input" feeds the FIR filter while the "reference input" corresponds to the desired output of the FIR filter.    
- * That is, the FIR filter coefficients are updated so that the output of the FIR filter matches the reference input.    
- * The filter coefficient update mechanism is based on the difference between the FIR filter output and the reference input.    
- * This "error signal" tends towards zero as the filter adapts.    
- * The LMS processing functions accept the input and reference input signals and generate the filter output and error signal.    
- * \image html LMS.gif "Internal structure of the Least Mean Square filter"    
- *    
- * The functions operate on blocks of data and each call to the function processes    
- * blockSize samples through the filter.    
- * pSrc points to input signal, pRef points to reference signal,    
- * pOut points to output signal and pErr points to error signal.    
- * All arrays contain blockSize values.    
- *    
- * The functions operate on a block-by-block basis.    
- * Internally, the filter coefficients b[n] are updated on a sample-by-sample basis.    
- * The convergence of the LMS filter is slower compared to the normalized LMS algorithm.    
- *    
- * \par Algorithm:    
- * The output signal y[n] is computed by a standard FIR filter:    
- * 
    
- *     y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1]    
- * 
    
- *    
- * \par    
- * The error signal equals the difference between the reference signal d[n] and the filter output:    
- * 
    
- *     e[n] = d[n] - y[n].    
- * 
    
- *    
- * \par    
- * After each sample of the error signal is computed, the filter coefficients b[k] are updated on a sample-by-sample basis:    
- * 
    
- *     b[k] = b[k] + e[n] * mu * x[n-k],  for k=0, 1, ..., numTaps-1    
- * 
    
- * where mu is the step size and controls the rate of coefficient convergence.    
- *\par    
- * In the APIs, pCoeffs points to a coefficient array of size numTaps.    
- * Coefficients are stored in time reversed order.    
- * \par    
- * 
    
- *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
- * 
    
- * \par    
- * pState points to a state array of size numTaps + blockSize - 1.    
- * Samples in the state buffer are stored in the order:    
- * \par    
- * 
    
- *    {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]}    
- * 
    
- * \par    
- * Note that the length of the state buffer exceeds the length of the coefficient array by blockSize-1 samples.    
- * The increased state buffer length allows circular addressing, which is traditionally used in FIR filters,    
- * to be avoided and yields a significant speed improvement.    
- * The state variables are updated after each block of data is processed.    
- * \par Instance Structure    
- * The coefficients and state variables for a filter are stored together in an instance data structure.    
- * A separate instance structure must be defined for each filter and    
- * coefficient and state arrays cannot be shared among instances.    
- * There are separate instance structure declarations for each of the 3 supported data types.    
- *    
- * \par Initialization Functions    
- * There is also an associated initialization function for each data type.    
- * The initialization function performs the following operations:    
- * - Sets the values of the internal structure fields.    
- * - Zeros out the values in the state buffer.    
- * \par    
- * Use of the initialization function is optional.    
- * However, if the initialization function is used, then the instance structure cannot be placed into a const data section.    
- * To place an instance structure into a const data section, the instance structure must be manually initialized.    
- * Set the values in the state buffer to zeros before static initialization.    
- * The code below statically initializes each of the 3 different data type filter instance structures    
- * 
    
- *    arm_lms_instance_f32 S = {numTaps, pState, pCoeffs, mu};    
- *    arm_lms_instance_q31 S = {numTaps, pState, pCoeffs, mu, postShift};    
- *    arm_lms_instance_q15 S = {numTaps, pState, pCoeffs, mu, postShift};    
- * 
    
- * where numTaps is the number of filter coefficients in the filter; pState is the address of the state buffer;    
- * pCoeffs is the address of the coefficient buffer; mu is the step size parameter; and postShift is the shift applied to coefficients.    
- *    
- * \par Fixed-Point Behavior:    
- * Care must be taken when using the Q15 and Q31 versions of the LMS filter.    
- * The following issues must be considered:    
- * - Scaling of coefficients    
- * - Overflow and saturation    
- *    
- * \par Scaling of Coefficients:    
- * Filter coefficients are represented as fractional values and    
- * coefficients are restricted to lie in the range [-1 +1).    
- * The fixed-point functions have an additional scaling parameter postShift.    
- * At the output of the filter's accumulator is a shift register which shifts the result by postShift bits.    
- * This essentially scales the filter coefficients by 2^postShift and    
- * allows the filter coefficients to exceed the range [+1 -1).    
- * The value of postShift is set by the user based on the expected gain through the system being modeled.    
- *    
- * \par Overflow and Saturation:    
- * Overflow and saturation behavior of the fixed-point Q15 and Q31 versions are    
- * described separately as part of the function specific documentation below.    
- */
-
-/**    
- * @addtogroup LMS    
- * @{    
- */
-
-/**           
- * @details           
- * This function operates on floating-point data types.       
- *    
- * @brief Processing function for floating-point LMS filter.    
- * @param[in]  *S points to an instance of the floating-point LMS filter structure.    
- * @param[in]  *pSrc points to the block of input data.    
- * @param[in]  *pRef points to the block of reference data.    
- * @param[out] *pOut points to the block of output data.    
- * @param[out] *pErr points to the block of error data.    
- * @param[in]  blockSize number of samples to process.    
- * @return     none.    
- */
-
-void arm_lms_f32(
-  const arm_lms_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pRef,
-  float32_t * pOut,
-  float32_t * pErr,
-  uint32_t blockSize)
-{
-  float32_t *pState = S->pState;                 /* State pointer */
-  float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
-  float32_t *pStateCurnt;                        /* Points to the current sample of the state */
-  float32_t *px, *pb;                            /* Temporary pointers for state and coefficient buffers */
-  float32_t mu = S->mu;                          /* Adaptive factor */
-  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
-  uint32_t tapCnt, blkCnt;                       /* Loop counters */
-  float32_t sum, e, d;                           /* accumulator, error, reference data sample */
-  float32_t w = 0.0f;                            /* weight factor */
-
-  e = 0.0f;
-  d = 0.0f;
-
-  /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = &(S->pState[(numTaps - 1u)]);
-
-  blkCnt = blockSize;
-
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  while(blkCnt > 0u)
-  {
-    /* Copy the new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Initialize pState pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = (pCoeffs);
-
-    /* Set the accumulator to zero */
-    sum = 0.0f;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      sum += (*px++) * (*pb++);
-      sum += (*px++) * (*pb++);
-      sum += (*px++) * (*pb++);
-      sum += (*px++) * (*pb++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      sum += (*px++) * (*pb++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* The result in the accumulator, store in the destination buffer. */
-    *pOut++ = sum;
-
-    /* Compute and store error */
-    d = (float32_t) (*pRef++);
-    e = d - sum;
-    *pErr++ = e;
-
-    /* Calculation of Weighting factor for the updating filter coefficients */
-    w = e * mu;
-
-    /* Initialize pState pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = (pCoeffs);
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    /* Update filter coefficients */
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      *pb = *pb + (w * (*px++));
-      pb++;
-
-      *pb = *pb + (w * (*px++));
-      pb++;
-
-      *pb = *pb + (w * (*px++));
-      pb++;
-
-      *pb = *pb + (w * (*px++));
-      pb++;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      *pb = *pb + (w * (*px++));
-      pb++;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Advance state pointer by 1 for the next sample */
-    pState = pState + 1;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-
-  /* Processing is complete. Now copy the last numTaps - 1 samples to the    
-     satrt of the state buffer. This prepares the state buffer for the    
-     next function call. */
-
-  /* Points to the start of the pState buffer */
-  pStateCurnt = S->pState;
-
-  /* Loop unrolling for (numTaps - 1u) samples copy */
-  tapCnt = (numTaps - 1u) >> 2u;
-
-  /* copy data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-  /* Calculate remaining number of copies */
-  tapCnt = (numTaps - 1u) % 0x4u;
-
-  /* Copy the remaining q31_t data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  while(blkCnt > 0u)
-  {
-    /* Copy the new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Initialize pState pointer */
-    px = pState;
-
-    /* Initialize pCoeffs pointer */
-    pb = pCoeffs;
-
-    /* Set the accumulator to zero */
-    sum = 0.0f;
-
-    /* Loop over numTaps number of values */
-    tapCnt = numTaps;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      sum += (*px++) * (*pb++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* The result is stored in the destination buffer. */
-    *pOut++ = sum;
-
-    /* Compute and store error */
-    d = (float32_t) (*pRef++);
-    e = d - sum;
-    *pErr++ = e;
-
-    /* Weighting factor for the LMS version */
-    w = e * mu;
-
-    /* Initialize pState pointer */
-    px = pState;
-
-    /* Initialize pCoeffs pointer */
-    pb = pCoeffs;
-
-    /* Loop over numTaps number of values */
-    tapCnt = numTaps;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      *pb = *pb + (w * (*px++));
-      pb++;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Advance state pointer by 1 for the next sample */
-    pState = pState + 1;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-
-  /* Processing is complete. Now copy the last numTaps - 1 samples to the        
-   * start of the state buffer. This prepares the state buffer for the        
-   * next function call. */
-
-  /* Points to the start of the pState buffer */
-  pStateCurnt = S->pState;
-
-  /*  Copy (numTaps - 1u) samples  */
-  tapCnt = (numTaps - 1u);
-
-  /* Copy the data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0 */
-
-}
-
-/**    
-   * @} end of LMS group    
-   */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_init_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_init_f32.c
deleted file mode 100644
index a2f51240a..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_init_f32.c
+++ /dev/null
@@ -1,90 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_lms_init_f32.c    
-*    
-* Description:  Floating-point LMS filter initialization function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @addtogroup LMS    
- * @{    
- */
-
-  /**    
-   * @brief Initialization function for floating-point LMS filter.    
-   * @param[in] *S points to an instance of the floating-point LMS filter structure.    
-   * @param[in] numTaps  number of filter coefficients.    
-   * @param[in] *pCoeffs points to the coefficient buffer.    
-   * @param[in] *pState points to state buffer.    
-   * @param[in] mu step size that controls filter coefficient updates.    
-   * @param[in] blockSize number of samples to process.    
-   * @return none.    
-   */
-
-/**    
- * \par Description:    
- * pCoeffs points to the array of filter coefficients stored in time reversed order:    
- * 
    
- *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
- * 
    
- * The initial filter coefficients serve as a starting point for the adaptive filter.    
- * pState points to an array of length numTaps+blockSize-1 samples, where blockSize is the number of input samples processed by each call to arm_lms_f32().    
- */
-
-void arm_lms_init_f32(
-  arm_lms_instance_f32 * S,
-  uint16_t numTaps,
-  float32_t * pCoeffs,
-  float32_t * pState,
-  float32_t mu,
-  uint32_t blockSize)
-{
-  /* Assign filter taps */
-  S->numTaps = numTaps;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Clear state buffer and size is always blockSize + numTaps */
-  memset(pState, 0, (numTaps + (blockSize - 1)) * sizeof(float32_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-  /* Assign Step size value */
-  S->mu = mu;
-}
-
-/**    
- * @} end of LMS group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_init_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_init_q15.c
deleted file mode 100644
index 8f42949a6..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_init_q15.c
+++ /dev/null
@@ -1,100 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_lms_init_q15.c    
-*    
-* Description:  Q15 LMS filter initialization function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup LMS    
- * @{    
- */
-
-/**    
-* @brief Initialization function for the Q15 LMS filter.    
-* @param[in] *S points to an instance of the Q15 LMS filter structure.    
-* @param[in] numTaps  number of filter coefficients.    
-* @param[in] *pCoeffs points to the coefficient buffer.    
-* @param[in] *pState points to the state buffer.    
-* @param[in] mu step size that controls filter coefficient updates.    
-* @param[in] blockSize number of samples to process.    
-* @param[in] postShift bit shift applied to coefficients.    
-* @return    none.    
-*    
-* \par Description:    
-* pCoeffs points to the array of filter coefficients stored in time reversed order:    
-* 
    
-*    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
-* 
    
-* The initial filter coefficients serve as a starting point for the adaptive filter.    
-* pState points to the array of state variables and size of array is    
-* numTaps+blockSize-1 samples, where blockSize is the number of    
-* input samples processed by each call to arm_lms_q15().    
-*/
-
-void arm_lms_init_q15(
-  arm_lms_instance_q15 * S,
-  uint16_t numTaps,
-  q15_t * pCoeffs,
-  q15_t * pState,
-  q15_t mu,
-  uint32_t blockSize,
-  uint32_t postShift)
-{
-  /* Assign filter taps */
-  S->numTaps = numTaps;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Clear state buffer and size is always blockSize + numTaps - 1 */
-  memset(pState, 0, (numTaps + (blockSize - 1u)) * sizeof(q15_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-  /* Assign Step size value */
-  S->mu = mu;
-
-  /* Assign postShift value to be applied */
-  S->postShift = postShift;
-
-}
-
-/**    
- * @} end of LMS group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_init_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_init_q31.c
deleted file mode 100644
index 58edb659b..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_init_q31.c
+++ /dev/null
@@ -1,100 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_lms_init_q31.c    
-*    
-* Description:  Q31 LMS filter initialization function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup LMS    
- * @{    
- */
-
-  /**    
-   * @brief Initialization function for Q31 LMS filter.    
-   * @param[in] *S points to an instance of the Q31 LMS filter structure.    
-   * @param[in] numTaps  number of filter coefficients.    
-   * @param[in] *pCoeffs points to coefficient buffer.    
-   * @param[in] *pState points to state buffer.    
-   * @param[in] mu step size that controls filter coefficient updates.    
-   * @param[in] blockSize number of samples to process.    
-   * @param[in] postShift bit shift applied to coefficients.    
-   * @return none.    
- *    
- * \par Description:    
- * pCoeffs points to the array of filter coefficients stored in time reversed order:    
- * 
    
- *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
- * 
    
- * The initial filter coefficients serve as a starting point for the adaptive filter.    
- * pState points to an array of length numTaps+blockSize-1 samples,    
- * where blockSize is the number of input samples processed by each call to    
- * arm_lms_q31().    
- */
-
-void arm_lms_init_q31(
-  arm_lms_instance_q31 * S,
-  uint16_t numTaps,
-  q31_t * pCoeffs,
-  q31_t * pState,
-  q31_t mu,
-  uint32_t blockSize,
-  uint32_t postShift)
-{
-  /* Assign filter taps */
-  S->numTaps = numTaps;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Clear state buffer and size is always blockSize + numTaps - 1 */
-  memset(pState, 0, ((uint32_t) numTaps + (blockSize - 1u)) * sizeof(q31_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-  /* Assign Step size value */
-  S->mu = mu;
-
-  /* Assign postShift value to be applied */
-  S->postShift = postShift;
-
-}
-
-/**    
- * @} end of LMS group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_f32.c
deleted file mode 100644
index b2ac45206..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_f32.c
+++ /dev/null
@@ -1,456 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_lms_norm_f32.c    
-*    
-* Description:	Processing function for the floating-point Normalised LMS.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @defgroup LMS_NORM Normalized LMS Filters    
- *    
- * This set of functions implements a commonly used adaptive filter.    
- * It is related to the Least Mean Square (LMS) adaptive filter and includes an additional normalization    
- * factor which increases the adaptation rate of the filter.    
- * The CMSIS DSP Library contains normalized LMS filter functions that operate on Q15, Q31, and floating-point data types.    
- *    
- * A normalized least mean square (NLMS) filter consists of two components as shown below.    
- * The first component is a standard transversal or FIR filter.    
- * The second component is a coefficient update mechanism.    
- * The NLMS filter has two input signals.    
- * The "input" feeds the FIR filter while the "reference input" corresponds to the desired output of the FIR filter.    
- * That is, the FIR filter coefficients are updated so that the output of the FIR filter matches the reference input.    
- * The filter coefficient update mechanism is based on the difference between the FIR filter output and the reference input.    
- * This "error signal" tends towards zero as the filter adapts.    
- * The NLMS processing functions accept the input and reference input signals and generate the filter output and error signal.    
- * \image html LMS.gif "Internal structure of the NLMS adaptive filter"    
- *    
- * The functions operate on blocks of data and each call to the function processes    
- * blockSize samples through the filter.    
- * pSrc points to input signal, pRef points to reference signal,    
- * pOut points to output signal and pErr points to error signal.    
- * All arrays contain blockSize values.    
- *    
- * The functions operate on a block-by-block basis.    
- * Internally, the filter coefficients b[n] are updated on a sample-by-sample basis.    
- * The convergence of the LMS filter is slower compared to the normalized LMS algorithm.    
- *    
- * \par Algorithm:    
- * The output signal y[n] is computed by a standard FIR filter:    
- * 
    
- *     y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1]    
- * 
    
- *    
- * \par    
- * The error signal equals the difference between the reference signal d[n] and the filter output:    
- * 
    
- *     e[n] = d[n] - y[n].    
- * 
    
- *    
- * \par    
- * After each sample of the error signal is computed the instanteous energy of the filter state variables is calculated:    
- * 
    
- *    E = x[n]^2 + x[n-1]^2 + ... + x[n-numTaps+1]^2.    
- * 
    
- * The filter coefficients b[k] are then updated on a sample-by-sample basis:    
- * 
    
- *     b[k] = b[k] + e[n] * (mu/E) * x[n-k],  for k=0, 1, ..., numTaps-1    
- * 
    
- * where mu is the step size and controls the rate of coefficient convergence.    
- *\par    
- * In the APIs, pCoeffs points to a coefficient array of size numTaps.    
- * Coefficients are stored in time reversed order.    
- * \par    
- * 
    
- *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
- * 
    
- * \par    
- * pState points to a state array of size numTaps + blockSize - 1.    
- * Samples in the state buffer are stored in the order:    
- * \par    
- * 
    
- *    {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]}    
- * 
    
- * \par    
- * Note that the length of the state buffer exceeds the length of the coefficient array by blockSize-1 samples.    
- * The increased state buffer length allows circular addressing, which is traditionally used in FIR filters,    
- * to be avoided and yields a significant speed improvement.    
- * The state variables are updated after each block of data is processed.    
- * \par Instance Structure    
- * The coefficients and state variables for a filter are stored together in an instance data structure.    
- * A separate instance structure must be defined for each filter and    
- * coefficient and state arrays cannot be shared among instances.    
- * There are separate instance structure declarations for each of the 3 supported data types.    
- *    
- * \par Initialization Functions    
- * There is also an associated initialization function for each data type.    
- * The initialization function performs the following operations:    
- * - Sets the values of the internal structure fields.    
- * - Zeros out the values in the state buffer.    
- * \par    
- * Instance structure cannot be placed into a const data section and it is recommended to use the initialization function.    
- * \par Fixed-Point Behavior:    
- * Care must be taken when using the Q15 and Q31 versions of the normalised LMS filter.    
- * The following issues must be considered:    
- * - Scaling of coefficients    
- * - Overflow and saturation    
- *    
- * \par Scaling of Coefficients:    
- * Filter coefficients are represented as fractional values and    
- * coefficients are restricted to lie in the range [-1 +1).    
- * The fixed-point functions have an additional scaling parameter postShift.    
- * At the output of the filter's accumulator is a shift register which shifts the result by postShift bits.    
- * This essentially scales the filter coefficients by 2^postShift and    
- * allows the filter coefficients to exceed the range [+1 -1).    
- * The value of postShift is set by the user based on the expected gain through the system being modeled.    
- *    
- * \par Overflow and Saturation:    
- * Overflow and saturation behavior of the fixed-point Q15 and Q31 versions are    
- * described separately as part of the function specific documentation below.    
- */
-
-
-/**    
- * @addtogroup LMS_NORM    
- * @{    
- */
-
-
-  /**    
-   * @brief Processing function for floating-point normalized LMS filter.    
-   * @param[in] *S points to an instance of the floating-point normalized LMS filter structure.    
-   * @param[in] *pSrc points to the block of input data.    
-   * @param[in] *pRef points to the block of reference data.    
-   * @param[out] *pOut points to the block of output data.    
-   * @param[out] *pErr points to the block of error data.    
-   * @param[in] blockSize number of samples to process.    
-   * @return none.    
-   */
-
-void arm_lms_norm_f32(
-  arm_lms_norm_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pRef,
-  float32_t * pOut,
-  float32_t * pErr,
-  uint32_t blockSize)
-{
-  float32_t *pState = S->pState;                 /* State pointer */
-  float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
-  float32_t *pStateCurnt;                        /* Points to the current sample of the state */
-  float32_t *px, *pb;                            /* Temporary pointers for state and coefficient buffers */
-  float32_t mu = S->mu;                          /* Adaptive factor */
-  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
-  uint32_t tapCnt, blkCnt;                       /* Loop counters */
-  float32_t energy;                              /* Energy of the input */
-  float32_t sum, e, d;                           /* accumulator, error, reference data sample */
-  float32_t w, x0, in;                           /* weight factor, temporary variable to hold input sample and state */
-
-  /* Initializations of error,  difference, Coefficient update */
-  e = 0.0f;
-  d = 0.0f;
-  w = 0.0f;
-
-  energy = S->energy;
-  x0 = S->x0;
-
-  /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = &(S->pState[(numTaps - 1u)]);
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  while(blkCnt > 0u)
-  {
-    /* Copy the new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc;
-
-    /* Initialize pState pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = (pCoeffs);
-
-    /* Read the sample from input buffer */
-    in = *pSrc++;
-
-    /* Update the energy calculation */
-    energy -= x0 * x0;
-    energy += in * in;
-
-    /* Set the accumulator to zero */
-    sum = 0.0f;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      sum += (*px++) * (*pb++);
-      sum += (*px++) * (*pb++);
-      sum += (*px++) * (*pb++);
-      sum += (*px++) * (*pb++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      sum += (*px++) * (*pb++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* The result in the accumulator, store in the destination buffer. */
-    *pOut++ = sum;
-
-    /* Compute and store error */
-    d = (float32_t) (*pRef++);
-    e = d - sum;
-    *pErr++ = e;
-
-    /* Calculation of Weighting factor for updating filter coefficients */
-    /* epsilon value 0.000000119209289f */
-    w = (e * mu) / (energy + 0.000000119209289f);
-
-    /* Initialize pState pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = (pCoeffs);
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    /* Update filter coefficients */
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      *pb += w * (*px++);
-      pb++;
-
-      *pb += w * (*px++);
-      pb++;
-
-      *pb += w * (*px++);
-      pb++;
-
-      *pb += w * (*px++);
-      pb++;
-
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      *pb += w * (*px++);
-      pb++;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    x0 = *pState;
-
-    /* Advance state pointer by 1 for the next sample */
-    pState = pState + 1;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  S->energy = energy;
-  S->x0 = x0;
-
-  /* Processing is complete. Now copy the last numTaps - 1 samples to the    
-     satrt of the state buffer. This prepares the state buffer for the    
-     next function call. */
-
-  /* Points to the start of the pState buffer */
-  pStateCurnt = S->pState;
-
-  /* Loop unrolling for (numTaps - 1u)/4 samples copy */
-  tapCnt = (numTaps - 1u) >> 2u;
-
-  /* copy data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-  /* Calculate remaining number of copies */
-  tapCnt = (numTaps - 1u) % 0x4u;
-
-  /* Copy the remaining q31_t data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  while(blkCnt > 0u)
-  {
-    /* Copy the new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc;
-
-    /* Initialize pState pointer */
-    px = pState;
-
-    /* Initialize pCoeffs pointer */
-    pb = pCoeffs;
-
-    /* Read the sample from input buffer */
-    in = *pSrc++;
-
-    /* Update the energy calculation */
-    energy -= x0 * x0;
-    energy += in * in;
-
-    /* Set the accumulator to zero */
-    sum = 0.0f;
-
-    /* Loop over numTaps number of values */
-    tapCnt = numTaps;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      sum += (*px++) * (*pb++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* The result in the accumulator is stored in the destination buffer. */
-    *pOut++ = sum;
-
-    /* Compute and store error */
-    d = (float32_t) (*pRef++);
-    e = d - sum;
-    *pErr++ = e;
-
-    /* Calculation of Weighting factor for updating filter coefficients */
-    /* epsilon value 0.000000119209289f */
-    w = (e * mu) / (energy + 0.000000119209289f);
-
-    /* Initialize pState pointer */
-    px = pState;
-
-    /* Initialize pCcoeffs pointer */
-    pb = pCoeffs;
-
-    /* Loop over numTaps number of values */
-    tapCnt = numTaps;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      *pb += w * (*px++);
-      pb++;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    x0 = *pState;
-
-    /* Advance state pointer by 1 for the next sample */
-    pState = pState + 1;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  S->energy = energy;
-  S->x0 = x0;
-
-  /* Processing is complete. Now copy the last numTaps - 1 samples to the        
-     satrt of the state buffer. This prepares the state buffer for the        
-     next function call. */
-
-  /* Points to the start of the pState buffer */
-  pStateCurnt = S->pState;
-
-  /* Copy (numTaps - 1u) samples  */
-  tapCnt = (numTaps - 1u);
-
-  /* Copy the remaining q31_t data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0 */
-
-}
-
-/**    
-   * @} end of LMS_NORM group    
-   */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_init_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_init_f32.c
deleted file mode 100644
index 3d31cfb25..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_init_f32.c
+++ /dev/null
@@ -1,100 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_lms_norm_init_f32.c    
-*    
-* Description:  Floating-point NLMS filter initialization function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup LMS_NORM    
- * @{    
- */
-
-  /**    
-   * @brief Initialization function for floating-point normalized LMS filter.    
-   * @param[in] *S points to an instance of the floating-point LMS filter structure.    
-   * @param[in] numTaps  number of filter coefficients.    
-   * @param[in] *pCoeffs points to coefficient buffer.    
-   * @param[in] *pState points to state buffer.    
-   * @param[in] mu step size that controls filter coefficient updates.    
-   * @param[in] blockSize number of samples to process.    
-   * @return none.    
-   *    
- * \par Description:    
- * pCoeffs points to the array of filter coefficients stored in time reversed order:    
- * 
    
- *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
- * 
    
- * The initial filter coefficients serve as a starting point for the adaptive filter.    
- * pState points to an array of length numTaps+blockSize-1 samples,    
- * where blockSize is the number of input samples processed by each call to arm_lms_norm_f32().    
- */
-
-void arm_lms_norm_init_f32(
-  arm_lms_norm_instance_f32 * S,
-  uint16_t numTaps,
-  float32_t * pCoeffs,
-  float32_t * pState,
-  float32_t mu,
-  uint32_t blockSize)
-{
-  /* Assign filter taps */
-  S->numTaps = numTaps;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Clear state buffer and size is always blockSize + numTaps - 1 */
-  memset(pState, 0, (numTaps + (blockSize - 1u)) * sizeof(float32_t));
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-  /* Assign Step size value */
-  S->mu = mu;
-
-  /* Initialise Energy to zero */
-  S->energy = 0.0f;
-
-  /* Initialise x0 to zero */
-  S->x0 = 0.0f;
-
-}
-
-/**    
- * @} end of LMS_NORM group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_init_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_init_q15.c
deleted file mode 100644
index a1cf1b001..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_init_q15.c
+++ /dev/null
@@ -1,107 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_lms_norm_init_q15.c    
-*    
-* Description:  Q15 NLMS initialization function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-#include "arm_common_tables.h"
-
-/**    
- * @addtogroup LMS_NORM    
- * @{    
- */
-
-  /**    
-   * @brief Initialization function for Q15 normalized LMS filter.    
-   * @param[in] *S points to an instance of the Q15 normalized LMS filter structure.    
-   * @param[in] numTaps  number of filter coefficients.    
-   * @param[in] *pCoeffs points to coefficient buffer.    
-   * @param[in] *pState points to state buffer.    
-   * @param[in] mu step size that controls filter coefficient updates.    
-   * @param[in] blockSize number of samples to process.    
-   * @param[in] postShift bit shift applied to coefficients.    
-   * @return none.    
- *    
- * Description:    
- * \par    
- * pCoeffs points to the array of filter coefficients stored in time reversed order:    
- * 
    
- *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
- * 
    
- * The initial filter coefficients serve as a starting point for the adaptive filter.    
- * pState points to the array of state variables and size of array is    
- * numTaps+blockSize-1 samples, where blockSize is the number of input samples processed    
- * by each call to arm_lms_norm_q15().    
- */
-
-void arm_lms_norm_init_q15(
-  arm_lms_norm_instance_q15 * S,
-  uint16_t numTaps,
-  q15_t * pCoeffs,
-  q15_t * pState,
-  q15_t mu,
-  uint32_t blockSize,
-  uint8_t postShift)
-{
-  /* Assign filter taps */
-  S->numTaps = numTaps;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Clear state buffer and size is always blockSize + numTaps - 1 */
-  memset(pState, 0, (numTaps + (blockSize - 1u)) * sizeof(q15_t));
-
-  /* Assign post Shift value applied to coefficients */
-  S->postShift = postShift;
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-  /* Assign Step size value */
-  S->mu = mu;
-
-  /* Initialize reciprocal pointer table */
-  S->recipTable = (q15_t *) armRecipTableQ15;
-
-  /* Initialise Energy to zero */
-  S->energy = 0;
-
-  /* Initialise x0 to zero */
-  S->x0 = 0;
-
-}
-
-/**    
- * @} end of LMS_NORM group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_init_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_init_q31.c
deleted file mode 100644
index a2fae7b38..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_init_q31.c
+++ /dev/null
@@ -1,106 +0,0 @@
-/*-----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_lms_norm_init_q31.c    
-*    
-* Description:  Q31 NLMS initialization function.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* ---------------------------------------------------------------------------*/
-
-#include "arm_math.h"
-#include "arm_common_tables.h"
-
-/**    
- * @addtogroup LMS_NORM    
- * @{    
- */
-
-  /**    
-   * @brief Initialization function for Q31 normalized LMS filter.    
-   * @param[in] *S points to an instance of the Q31 normalized LMS filter structure.    
-   * @param[in] numTaps  number of filter coefficients.    
-   * @param[in] *pCoeffs points to coefficient buffer.    
-   * @param[in] *pState points to state buffer.    
-   * @param[in] mu step size that controls filter coefficient updates.    
-   * @param[in] blockSize number of samples to process.    
-   * @param[in] postShift bit shift applied to coefficients.    
-   * @return none.    
- *    
- * Description:    
- * \par    
- * pCoeffs points to the array of filter coefficients stored in time reversed order:    
- * 
    
- *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
- * 
    
- * The initial filter coefficients serve as a starting point for the adaptive filter.    
- * pState points to an array of length numTaps+blockSize-1 samples,    
- * where blockSize is the number of input samples processed by each call to arm_lms_norm_q31().    
- */
-
-void arm_lms_norm_init_q31(
-  arm_lms_norm_instance_q31 * S,
-  uint16_t numTaps,
-  q31_t * pCoeffs,
-  q31_t * pState,
-  q31_t mu,
-  uint32_t blockSize,
-  uint8_t postShift)
-{
-  /* Assign filter taps */
-  S->numTaps = numTaps;
-
-  /* Assign coefficient pointer */
-  S->pCoeffs = pCoeffs;
-
-  /* Clear state buffer and size is always blockSize + numTaps - 1  */
-  memset(pState, 0, (numTaps + (blockSize - 1u)) * sizeof(q31_t));
-
-  /* Assign post Shift value applied to coefficients */
-  S->postShift = postShift;
-
-  /* Assign state pointer */
-  S->pState = pState;
-
-  /* Assign Step size value */
-  S->mu = mu;
-
-  /* Initialize reciprocal pointer table */
-  S->recipTable = (q31_t *) armRecipTableQ31;
-
-  /* Initialise Energy to zero */
-  S->energy = 0;
-
-  /* Initialise x0 to zero */
-  S->x0 = 0;
-
-}
-
-/**    
- * @} end of LMS_NORM group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_q15.c
deleted file mode 100644
index a1229a203..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_q15.c
+++ /dev/null
@@ -1,435 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_lms_norm_q15.c    
-*    
-* Description:	Q15 NLMS filter.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup LMS_NORM    
- * @{    
- */
-
-/**    
-* @brief Processing function for Q15 normalized LMS filter.    
-* @param[in] *S points to an instance of the Q15 normalized LMS filter structure.    
-* @param[in] *pSrc points to the block of input data.    
-* @param[in] *pRef points to the block of reference data.    
-* @param[out] *pOut points to the block of output data.    
-* @param[out] *pErr points to the block of error data.    
-* @param[in] blockSize number of samples to process.    
-* @return none.    
-*    
-* Scaling and Overflow Behavior:     
-* \par     
-* The function is implemented using a 64-bit internal accumulator.     
-* Both coefficients and state variables are represented in 1.15 format and    
-* multiplications yield a 2.30 result. The 2.30 intermediate results are    
-* accumulated in a 64-bit accumulator in 34.30 format.     
-* There is no risk of internal overflow with this approach and the full    
-* precision of intermediate multiplications is preserved. After all additions    
-* have been performed, the accumulator is truncated to 34.15 format by    
-* discarding low 15 bits. Lastly, the accumulator is saturated to yield a    
-* result in 1.15 format.    
-*    
-* \par   
-* 	In this filter, filter coefficients are updated for each sample and the updation of filter cofficients are saturted.    
-*    
- */
-
-void arm_lms_norm_q15(
-  arm_lms_norm_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pRef,
-  q15_t * pOut,
-  q15_t * pErr,
-  uint32_t blockSize)
-{
-  q15_t *pState = S->pState;                     /* State pointer */
-  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q15_t *pStateCurnt;                            /* Points to the current sample of the state */
-  q15_t *px, *pb;                                /* Temporary pointers for state and coefficient buffers */
-  q15_t mu = S->mu;                              /* Adaptive factor */
-  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
-  uint32_t tapCnt, blkCnt;                       /* Loop counters */
-  q31_t energy;                                  /* Energy of the input */
-  q63_t acc;                                     /* Accumulator */
-  q15_t e = 0, d = 0;                            /* error, reference data sample */
-  q15_t w = 0, in;                               /* weight factor and state */
-  q15_t x0;                                      /* temporary variable to hold input sample */
-  //uint32_t shift = (uint32_t) S->postShift + 1u; /* Shift to be applied to the output */ 
-  q15_t errorXmu, oneByEnergy;                   /* Temporary variables to store error and mu product and reciprocal of energy */
-  q15_t postShift;                               /* Post shift to be applied to weight after reciprocal calculation */
-  q31_t coef;                                    /* Teporary variable for coefficient */
-  q31_t acc_l, acc_h;
-  int32_t lShift = (15 - (int32_t) S->postShift);       /*  Post shift  */
-  int32_t uShift = (32 - lShift);
-
-  energy = S->energy;
-  x0 = S->x0;
-
-  /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = &(S->pState[(numTaps - 1u)]);
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  while(blkCnt > 0u)
-  {
-    /* Copy the new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc;
-
-    /* Initialize pState pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = (pCoeffs);
-
-    /* Read the sample from input buffer */
-    in = *pSrc++;
-
-    /* Update the energy calculation */
-    energy -= (((q31_t) x0 * (x0)) >> 15);
-    energy += (((q31_t) in * (in)) >> 15);
-
-    /* Set the accumulator to zero */
-    acc = 0;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    while(tapCnt > 0u)
-    {
-
-      /* Perform the multiply-accumulate */
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-      acc = __SMLALD(*__SIMD32(px)++, (*__SIMD32(pb)++), acc);
-      acc = __SMLALD(*__SIMD32(px)++, (*__SIMD32(pb)++), acc);
-
-#else
-
-      acc += (((q31_t) * px++ * (*pb++)));
-      acc += (((q31_t) * px++ * (*pb++)));
-      acc += (((q31_t) * px++ * (*pb++)));
-      acc += (((q31_t) * px++ * (*pb++)));
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      acc += (((q31_t) * px++ * (*pb++)));
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Calc lower part of acc */
-    acc_l = acc & 0xffffffff;
-
-    /* Calc upper part of acc */
-    acc_h = (acc >> 32) & 0xffffffff;
-
-    /* Apply shift for lower part of acc and upper part of acc */
-    acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-    /* Converting the result to 1.15 format and saturate the output */
-    acc = __SSAT(acc, 16u);
-
-    /* Store the result from accumulator into the destination buffer. */
-    *pOut++ = (q15_t) acc;
-
-    /* Compute and store error */
-    d = *pRef++;
-    e = d - (q15_t) acc;
-    *pErr++ = e;
-
-    /* Calculation of 1/energy */
-    postShift = arm_recip_q15((q15_t) energy + DELTA_Q15,
-                              &oneByEnergy, S->recipTable);
-
-    /* Calculation of e * mu value */
-    errorXmu = (q15_t) (((q31_t) e * mu) >> 15);
-
-    /* Calculation of (e * mu) * (1/energy) value */
-    acc = (((q31_t) errorXmu * oneByEnergy) >> (15 - postShift));
-
-    /* Weighting factor for the normalized version */
-    w = (q15_t) __SSAT((q31_t) acc, 16);
-
-    /* Initialize pState pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = (pCoeffs);
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    /* Update filter coefficients */
-    while(tapCnt > 0u)
-    {
-      coef = *pb + (((q31_t) w * (*px++)) >> 15);
-      *pb++ = (q15_t) __SSAT((coef), 16);
-      coef = *pb + (((q31_t) w * (*px++)) >> 15);
-      *pb++ = (q15_t) __SSAT((coef), 16);
-      coef = *pb + (((q31_t) w * (*px++)) >> 15);
-      *pb++ = (q15_t) __SSAT((coef), 16);
-      coef = *pb + (((q31_t) w * (*px++)) >> 15);
-      *pb++ = (q15_t) __SSAT((coef), 16);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      coef = *pb + (((q31_t) w * (*px++)) >> 15);
-      *pb++ = (q15_t) __SSAT((coef), 16);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Read the sample from state buffer */
-    x0 = *pState;
-
-    /* Advance state pointer by 1 for the next sample */
-    pState = pState + 1u;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Save energy and x0 values for the next frame */
-  S->energy = (q15_t) energy;
-  S->x0 = x0;
-
-  /* Processing is complete. Now copy the last numTaps - 1 samples to the    
-     satrt of the state buffer. This prepares the state buffer for the    
-     next function call. */
-
-  /* Points to the start of the pState buffer */
-  pStateCurnt = S->pState;
-
-  /* Calculation of count for copying integer writes */
-  tapCnt = (numTaps - 1u) >> 2;
-
-  while(tapCnt > 0u)
-  {
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
-    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
-
-#else
-
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-#endif
-
-    tapCnt--;
-
-  }
-
-  /* Calculation of count for remaining q15_t data */
-  tapCnt = (numTaps - 1u) % 0x4u;
-
-  /* copy data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  while(blkCnt > 0u)
-  {
-    /* Copy the new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc;
-
-    /* Initialize pState pointer */
-    px = pState;
-
-    /* Initialize pCoeffs pointer */
-    pb = pCoeffs;
-
-    /* Read the sample from input buffer */
-    in = *pSrc++;
-
-    /* Update the energy calculation */
-    energy -= (((q31_t) x0 * (x0)) >> 15);
-    energy += (((q31_t) in * (in)) >> 15);
-
-    /* Set the accumulator to zero */
-    acc = 0;
-
-    /* Loop over numTaps number of values */
-    tapCnt = numTaps;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      acc += (((q31_t) * px++ * (*pb++)));
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Calc lower part of acc */
-    acc_l = acc & 0xffffffff;
-
-    /* Calc upper part of acc */
-    acc_h = (acc >> 32) & 0xffffffff;
-
-    /* Apply shift for lower part of acc and upper part of acc */
-    acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-    /* Converting the result to 1.15 format and saturate the output */
-    acc = __SSAT(acc, 16u);
-
-    /* Converting the result to 1.15 format */
-    //acc = __SSAT((acc >> (16u - shift)), 16u); 
-
-    /* Store the result from accumulator into the destination buffer. */
-    *pOut++ = (q15_t) acc;
-
-    /* Compute and store error */
-    d = *pRef++;
-    e = d - (q15_t) acc;
-    *pErr++ = e;
-
-    /* Calculation of 1/energy */
-    postShift = arm_recip_q15((q15_t) energy + DELTA_Q15,
-                              &oneByEnergy, S->recipTable);
-
-    /* Calculation of e * mu value */
-    errorXmu = (q15_t) (((q31_t) e * mu) >> 15);
-
-    /* Calculation of (e * mu) * (1/energy) value */
-    acc = (((q31_t) errorXmu * oneByEnergy) >> (15 - postShift));
-
-    /* Weighting factor for the normalized version */
-    w = (q15_t) __SSAT((q31_t) acc, 16);
-
-    /* Initialize pState pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = (pCoeffs);
-
-    /* Loop over numTaps number of values */
-    tapCnt = numTaps;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      coef = *pb + (((q31_t) w * (*px++)) >> 15);
-      *pb++ = (q15_t) __SSAT((coef), 16);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Read the sample from state buffer */
-    x0 = *pState;
-
-    /* Advance state pointer by 1 for the next sample */
-    pState = pState + 1u;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Save energy and x0 values for the next frame */
-  S->energy = (q15_t) energy;
-  S->x0 = x0;
-
-  /* Processing is complete. Now copy the last numTaps - 1 samples to the        
-     satrt of the state buffer. This prepares the state buffer for the        
-     next function call. */
-
-  /* Points to the start of the pState buffer */
-  pStateCurnt = S->pState;
-
-  /* copy (numTaps - 1u) data */
-  tapCnt = (numTaps - 1u);
-
-  /* copy data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0 */
-
-}
-
-
-/**    
-   * @} end of LMS_NORM group    
-   */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_q31.c
deleted file mode 100644
index 791a8637c..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_q31.c
+++ /dev/null
@@ -1,426 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_lms_norm_q31.c    
-*    
-* Description:	Processing function for the Q31 NLMS filter.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup LMS_NORM    
- * @{    
- */
-
-/**    
-* @brief Processing function for Q31 normalized LMS filter.    
-* @param[in] *S points to an instance of the Q31 normalized LMS filter structure.    
-* @param[in] *pSrc points to the block of input data.    
-* @param[in] *pRef points to the block of reference data.    
-* @param[out] *pOut points to the block of output data.    
-* @param[out] *pErr points to the block of error data.    
-* @param[in] blockSize number of samples to process.    
-* @return none.    
-*    
-* Scaling and Overflow Behavior:     
-* \par     
-* The function is implemented using an internal 64-bit accumulator.     
-* The accumulator has a 2.62 format and maintains full precision of the intermediate   
-* multiplication results but provides only a single guard bit.     
-* Thus, if the accumulator result overflows it wraps around rather than clip.     
-* In order to avoid overflows completely the input signal must be scaled down by    
-* log2(numTaps) bits. The reference signal should not be scaled down.     
-* After all multiply-accumulates are performed, the 2.62 accumulator is shifted    
-* and saturated to 1.31 format to yield the final result.     
-* The output signal and error signal are in 1.31 format.     
-*    
-* \par    
-* 	In this filter, filter coefficients are updated for each sample and the    
-* updation of filter cofficients are saturted.    
-*     
-*/
-
-void arm_lms_norm_q31(
-  arm_lms_norm_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pRef,
-  q31_t * pOut,
-  q31_t * pErr,
-  uint32_t blockSize)
-{
-  q31_t *pState = S->pState;                     /* State pointer */
-  q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q31_t *pStateCurnt;                            /* Points to the current sample of the state */
-  q31_t *px, *pb;                                /* Temporary pointers for state and coefficient buffers */
-  q31_t mu = S->mu;                              /* Adaptive factor */
-  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
-  uint32_t tapCnt, blkCnt;                       /* Loop counters */
-  q63_t energy;                                  /* Energy of the input */
-  q63_t acc;                                     /* Accumulator */
-  q31_t e = 0, d = 0;                            /* error, reference data sample */
-  q31_t w = 0, in;                               /* weight factor and state */
-  q31_t x0;                                      /* temporary variable to hold input sample */
-//  uint32_t shift = 32u - ((uint32_t) S->postShift + 1u);        /* Shift to be applied to the output */      
-  q31_t errorXmu, oneByEnergy;                   /* Temporary variables to store error and mu product and reciprocal of energy */
-  q31_t postShift;                               /* Post shift to be applied to weight after reciprocal calculation */
-  q31_t coef;                                    /* Temporary variable for coef */
-  q31_t acc_l, acc_h;                            /*  temporary input */
-  uint32_t uShift = ((uint32_t) S->postShift + 1u);
-  uint32_t lShift = 32u - uShift;                /*  Shift to be applied to the output */
-
-  energy = S->energy;
-  x0 = S->x0;
-
-  /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = &(S->pState[(numTaps - 1u)]);
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  while(blkCnt > 0u)
-  {
-
-    /* Copy the new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc;
-
-    /* Initialize pState pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = (pCoeffs);
-
-    /* Read the sample from input buffer */
-    in = *pSrc++;
-
-    /* Update the energy calculation */
-    energy = (q31_t) ((((q63_t) energy << 32) -
-                       (((q63_t) x0 * x0) << 1)) >> 32);
-    energy = (q31_t) (((((q63_t) in * in) << 1) + (energy << 32)) >> 32);
-
-    /* Set the accumulator to zero */
-    acc = 0;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      acc += ((q63_t) (*px++)) * (*pb++);
-      acc += ((q63_t) (*px++)) * (*pb++);
-      acc += ((q63_t) (*px++)) * (*pb++);
-      acc += ((q63_t) (*px++)) * (*pb++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      acc += ((q63_t) (*px++)) * (*pb++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Converting the result to 1.31 format */
-    /* Calc lower part of acc */
-    acc_l = acc & 0xffffffff;
-
-    /* Calc upper part of acc */
-    acc_h = (acc >> 32) & 0xffffffff;
-
-    acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-    /* Store the result from accumulator into the destination buffer. */
-    *pOut++ = (q31_t) acc;
-
-    /* Compute and store error */
-    d = *pRef++;
-    e = d - (q31_t) acc;
-    *pErr++ = e;
-
-    /* Calculates the reciprocal of energy */
-    postShift = arm_recip_q31(energy + DELTA_Q31,
-                              &oneByEnergy, &S->recipTable[0]);
-
-    /* Calculation of product of (e * mu) */
-    errorXmu = (q31_t) (((q63_t) e * mu) >> 31);
-
-    /* Weighting factor for the normalized version */
-    w = clip_q63_to_q31(((q63_t) errorXmu * oneByEnergy) >> (31 - postShift));
-
-    /* Initialize pState pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = (pCoeffs);
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    /* Update filter coefficients */
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-
-      /* coef is in 2.30 format */
-      coef = (q31_t) (((q63_t) w * (*px++)) >> (32));
-      /* get coef in 1.31 format by left shifting */
-      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
-      /* update coefficient buffer to next coefficient */
-      pb++;
-
-      coef = (q31_t) (((q63_t) w * (*px++)) >> (32));
-      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
-      pb++;
-
-      coef = (q31_t) (((q63_t) w * (*px++)) >> (32));
-      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
-      pb++;
-
-      coef = (q31_t) (((q63_t) w * (*px++)) >> (32));
-      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
-      pb++;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      coef = (q31_t) (((q63_t) w * (*px++)) >> (32));
-      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
-      pb++;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Read the sample from state buffer */
-    x0 = *pState;
-
-    /* Advance state pointer by 1 for the next sample */
-    pState = pState + 1;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Save energy and x0 values for the next frame */
-  S->energy = (q31_t) energy;
-  S->x0 = x0;
-
-  /* Processing is complete. Now copy the last numTaps - 1 samples to the    
-     satrt of the state buffer. This prepares the state buffer for the    
-     next function call. */
-
-  /* Points to the start of the pState buffer */
-  pStateCurnt = S->pState;
-
-  /* Loop unrolling for (numTaps - 1u) samples copy */
-  tapCnt = (numTaps - 1u) >> 2u;
-
-  /* copy data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-  /* Calculate remaining number of copies */
-  tapCnt = (numTaps - 1u) % 0x4u;
-
-  /* Copy the remaining q31_t data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  while(blkCnt > 0u)
-  {
-
-    /* Copy the new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc;
-
-    /* Initialize pState pointer */
-    px = pState;
-
-    /* Initialize pCoeffs pointer */
-    pb = pCoeffs;
-
-    /* Read the sample from input buffer */
-    in = *pSrc++;
-
-    /* Update the energy calculation */
-    energy =
-      (q31_t) ((((q63_t) energy << 32) - (((q63_t) x0 * x0) << 1)) >> 32);
-    energy = (q31_t) (((((q63_t) in * in) << 1) + (energy << 32)) >> 32);
-
-    /* Set the accumulator to zero */
-    acc = 0;
-
-    /* Loop over numTaps number of values */
-    tapCnt = numTaps;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      acc += ((q63_t) (*px++)) * (*pb++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Converting the result to 1.31 format */
-    /* Converting the result to 1.31 format */
-    /* Calc lower part of acc */
-    acc_l = acc & 0xffffffff;
-
-    /* Calc upper part of acc */
-    acc_h = (acc >> 32) & 0xffffffff;
-
-    acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-
-    //acc = (q31_t) (acc >> shift); 
-
-    /* Store the result from accumulator into the destination buffer. */
-    *pOut++ = (q31_t) acc;
-
-    /* Compute and store error */
-    d = *pRef++;
-    e = d - (q31_t) acc;
-    *pErr++ = e;
-
-    /* Calculates the reciprocal of energy */
-    postShift =
-      arm_recip_q31(energy + DELTA_Q31, &oneByEnergy, &S->recipTable[0]);
-
-    /* Calculation of product of (e * mu) */
-    errorXmu = (q31_t) (((q63_t) e * mu) >> 31);
-
-    /* Weighting factor for the normalized version */
-    w = clip_q63_to_q31(((q63_t) errorXmu * oneByEnergy) >> (31 - postShift));
-
-    /* Initialize pState pointer */
-    px = pState;
-
-    /* Initialize coeff pointer */
-    pb = (pCoeffs);
-
-    /* Loop over numTaps number of values */
-    tapCnt = numTaps;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      /* coef is in 2.30 format */
-      coef = (q31_t) (((q63_t) w * (*px++)) >> (32));
-      /* get coef in 1.31 format by left shifting */
-      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
-      /* update coefficient buffer to next coefficient */
-      pb++;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Read the sample from state buffer */
-    x0 = *pState;
-
-    /* Advance state pointer by 1 for the next sample */
-    pState = pState + 1;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Save energy and x0 values for the next frame */
-  S->energy = (q31_t) energy;
-  S->x0 = x0;
-
-  /* Processing is complete. Now copy the last numTaps - 1 samples to the     
-     start of the state buffer. This prepares the state buffer for the        
-     next function call. */
-
-  /* Points to the start of the pState buffer */
-  pStateCurnt = S->pState;
-
-  /* Loop for (numTaps - 1u) samples copy */
-  tapCnt = (numTaps - 1u);
-
-  /* Copy the remaining q31_t data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0 */
-
-}
-
-/**    
- * @} end of LMS_NORM group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_q15.c
deleted file mode 100644
index 91237c12d..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_q15.c
+++ /dev/null
@@ -1,374 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_lms_q15.c    
-*    
-* Description:	Processing function for the Q15 LMS filter.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup LMS    
- * @{    
- */
-
- /**    
- * @brief Processing function for Q15 LMS filter.    
- * @param[in] *S points to an instance of the Q15 LMS filter structure.    
- * @param[in] *pSrc points to the block of input data.    
- * @param[in] *pRef points to the block of reference data.    
- * @param[out] *pOut points to the block of output data.    
- * @param[out] *pErr points to the block of error data.    
- * @param[in] blockSize number of samples to process.    
- * @return none.    
- *    
- * \par Scaling and Overflow Behavior:    
- * The function is implemented using a 64-bit internal accumulator.    
- * Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result.    
- * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.    
- * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.    
- * After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits.    
- * Lastly, the accumulator is saturated to yield a result in 1.15 format.    
- *   
- * \par   
- * 	In this filter, filter coefficients are updated for each sample and the updation of filter cofficients are saturted.   
- *    
- */
-
-void arm_lms_q15(
-  const arm_lms_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pRef,
-  q15_t * pOut,
-  q15_t * pErr,
-  uint32_t blockSize)
-{
-  q15_t *pState = S->pState;                     /* State pointer */
-  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
-  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q15_t *pStateCurnt;                            /* Points to the current sample of the state */
-  q15_t mu = S->mu;                              /* Adaptive factor */
-  q15_t *px;                                     /* Temporary pointer for state */
-  q15_t *pb;                                     /* Temporary pointer for coefficient buffer */
-  uint32_t tapCnt, blkCnt;                       /* Loop counters */
-  q63_t acc;                                     /* Accumulator */
-  q15_t e = 0;                                   /* error of data sample */
-  q15_t alpha;                                   /* Intermediate constant for taps update */
-  q31_t acc_l, acc_h;
-  int32_t lShift = (15 - (int32_t) S->postShift);       /*  Post shift  */
-  int32_t uShift = (32 - lShift);
-
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q31_t coef;                                    /* Teporary variable for coefficient */
-
-  /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = &(S->pState[(numTaps - 1u)]);
-
-  /* Initializing blkCnt with blockSize */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* Copy the new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize coefficient pointer */
-    pb = pCoeffs;
-
-    /* Set the accumulator to zero */
-    acc = 0;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2u;
-
-    while(tapCnt > 0u)
-    {
-      /* acc +=  b[N] * x[n-N] + b[N-1] * x[n-N-1] */
-      /* Perform the multiply-accumulate */
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-      acc = __SMLALD(*__SIMD32(px)++, (*__SIMD32(pb)++), acc);
-      acc = __SMLALD(*__SIMD32(px)++, (*__SIMD32(pb)++), acc);
-
-#else
-
-      acc += (q63_t) (((q31_t) (*px++) * (*pb++)));
-      acc += (q63_t) (((q31_t) (*px++) * (*pb++)));
-      acc += (q63_t) (((q31_t) (*px++) * (*pb++)));
-      acc += (q63_t) (((q31_t) (*px++) * (*pb++)));
-
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      acc += (q63_t) (((q31_t) (*px++) * (*pb++)));
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Calc lower part of acc */
-    acc_l = acc & 0xffffffff;
-
-    /* Calc upper part of acc */
-    acc_h = (acc >> 32) & 0xffffffff;
-
-    /* Apply shift for lower part of acc and upper part of acc */
-    acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-    /* Converting the result to 1.15 format and saturate the output */
-    acc = __SSAT(acc, 16);
-
-    /* Store the result from accumulator into the destination buffer. */
-    *pOut++ = (q15_t) acc;
-
-    /* Compute and store error */
-    e = *pRef++ - (q15_t) acc;
-
-    *pErr++ = (q15_t) e;
-
-    /* Compute alpha i.e. intermediate constant for taps update */
-    alpha = (q15_t) (((q31_t) e * (mu)) >> 15);
-
-    /* Initialize state pointer */
-    /* Advance state pointer by 1 for the next sample */
-    px = pState++;
-
-    /* Initialize coefficient pointer */
-    pb = pCoeffs;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2u;
-
-    /* Update filter coefficients */
-    while(tapCnt > 0u)
-    {
-      coef = (q31_t) * pb + (((q31_t) alpha * (*px++)) >> 15);
-      *pb++ = (q15_t) __SSAT((coef), 16);
-      coef = (q31_t) * pb + (((q31_t) alpha * (*px++)) >> 15);
-      *pb++ = (q15_t) __SSAT((coef), 16);
-      coef = (q31_t) * pb + (((q31_t) alpha * (*px++)) >> 15);
-      *pb++ = (q15_t) __SSAT((coef), 16);
-      coef = (q31_t) * pb + (((q31_t) alpha * (*px++)) >> 15);
-      *pb++ = (q15_t) __SSAT((coef), 16);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      coef = (q31_t) * pb + (((q31_t) alpha * (*px++)) >> 15);
-      *pb++ = (q15_t) __SSAT((coef), 16);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Decrement the loop counter */
-    blkCnt--;
-
-  }
-
-  /* Processing is complete. Now copy the last numTaps - 1 samples to the    
-     satrt of the state buffer. This prepares the state buffer for the    
-     next function call. */
-
-  /* Points to the start of the pState buffer */
-  pStateCurnt = S->pState;
-
-  /* Calculation of count for copying integer writes */
-  tapCnt = (numTaps - 1u) >> 2;
-
-  while(tapCnt > 0u)
-  {
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
-    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
-#else
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-#endif
-
-    tapCnt--;
-
-  }
-
-  /* Calculation of count for remaining q15_t data */
-  tapCnt = (numTaps - 1u) % 0x4u;
-
-  /* copy data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = &(S->pState[(numTaps - 1u)]);
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* Copy the new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Initialize pState pointer */
-    px = pState;
-
-    /* Initialize pCoeffs pointer */
-    pb = pCoeffs;
-
-    /* Set the accumulator to zero */
-    acc = 0;
-
-    /* Loop over numTaps number of values */
-    tapCnt = numTaps;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      acc += (q63_t) ((q31_t) (*px++) * (*pb++));
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Calc lower part of acc */
-    acc_l = acc & 0xffffffff;
-
-    /* Calc upper part of acc */
-    acc_h = (acc >> 32) & 0xffffffff;
-
-    /* Apply shift for lower part of acc and upper part of acc */
-    acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-    /* Converting the result to 1.15 format and saturate the output */
-    acc = __SSAT(acc, 16);
-
-    /* Store the result from accumulator into the destination buffer. */
-    *pOut++ = (q15_t) acc;
-
-    /* Compute and store error */
-    e = *pRef++ - (q15_t) acc;
-
-    *pErr++ = (q15_t) e;
-
-    /* Compute alpha i.e. intermediate constant for taps update */
-    alpha = (q15_t) (((q31_t) e * (mu)) >> 15);
-
-    /* Initialize pState pointer */
-    /* Advance state pointer by 1 for the next sample */
-    px = pState++;
-
-    /* Initialize pCoeffs pointer */
-    pb = pCoeffs;
-
-    /* Loop over numTaps number of values */
-    tapCnt = numTaps;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      *pb++ += (q15_t) (((q31_t) alpha * (*px++)) >> 15);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Decrement the loop counter */
-    blkCnt--;
-
-  }
-
-  /* Processing is complete. Now copy the last numTaps - 1 samples to the        
-     start of the state buffer. This prepares the state buffer for the   
-     next function call. */
-
-  /* Points to the start of the pState buffer */
-  pStateCurnt = S->pState;
-
-  /*  Copy (numTaps - 1u) samples  */
-  tapCnt = (numTaps - 1u);
-
-  /* Copy the data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0 */
-
-}
-
-/**    
-   * @} end of LMS group    
-   */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_q31.c
deleted file mode 100644
index c43d55d1d..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_lms_q31.c
+++ /dev/null
@@ -1,364 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_lms_q31.c    
-*    
-* Description:	Processing function for the Q31 LMS filter.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-/**    
- * @ingroup groupFilters    
- */
-
-/**    
- * @addtogroup LMS    
- * @{    
- */
-
- /**    
- * @brief Processing function for Q31 LMS filter.    
- * @param[in]  *S points to an instance of the Q15 LMS filter structure.    
- * @param[in]  *pSrc points to the block of input data.    
- * @param[in]  *pRef points to the block of reference data.    
- * @param[out] *pOut points to the block of output data.    
- * @param[out] *pErr points to the block of error data.    
- * @param[in]  blockSize number of samples to process.    
- * @return     none.    
- *    
- * \par Scaling and Overflow Behavior:     
- * The function is implemented using an internal 64-bit accumulator.     
- * The accumulator has a 2.62 format and maintains full precision of the intermediate    
- * multiplication results but provides only a single guard bit.     
- * Thus, if the accumulator result overflows it wraps around rather than clips.     
- * In order to avoid overflows completely the input signal must be scaled down by    
- * log2(numTaps) bits.     
- * The reference signal should not be scaled down.     
- * After all multiply-accumulates are performed, the 2.62 accumulator is shifted    
- * and saturated to 1.31 format to yield the final result.     
- * The output signal and error signal are in 1.31 format.     
- *    
- * \par    
- * 	In this filter, filter coefficients are updated for each sample and the updation of filter cofficients are saturted.    
- */
-
-void arm_lms_q31(
-  const arm_lms_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pRef,
-  q31_t * pOut,
-  q31_t * pErr,
-  uint32_t blockSize)
-{
-  q31_t *pState = S->pState;                     /* State pointer */
-  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
-  q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
-  q31_t *pStateCurnt;                            /* Points to the current sample of the state */
-  q31_t mu = S->mu;                              /* Adaptive factor */
-  q31_t *px;                                     /* Temporary pointer for state */
-  q31_t *pb;                                     /* Temporary pointer for coefficient buffer */
-  uint32_t tapCnt, blkCnt;                       /* Loop counters */
-  q63_t acc;                                     /* Accumulator */
-  q31_t e = 0;                                   /* error of data sample */
-  q31_t alpha;                                   /* Intermediate constant for taps update */
-  q31_t coef;                                    /* Temporary variable for coef */
-  q31_t acc_l, acc_h;                            /*  temporary input */
-  uint32_t uShift = ((uint32_t) S->postShift + 1u);
-  uint32_t lShift = 32u - uShift;                /*  Shift to be applied to the output */
-
-  /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
-  /* pStateCurnt points to the location where the new input data should be written */
-  pStateCurnt = &(S->pState[(numTaps - 1u)]);
-
-  /* Initializing blkCnt with blockSize */
-  blkCnt = blockSize;
-
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  while(blkCnt > 0u)
-  {
-    /* Copy the new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Initialize state pointer */
-    px = pState;
-
-    /* Initialize coefficient pointer */
-    pb = pCoeffs;
-
-    /* Set the accumulator to zero */
-    acc = 0;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      /* acc +=  b[N] * x[n-N] */
-      acc += ((q63_t) (*px++)) * (*pb++);
-
-      /* acc +=  b[N-1] * x[n-N-1] */
-      acc += ((q63_t) (*px++)) * (*pb++);
-
-      /* acc +=  b[N-2] * x[n-N-2] */
-      acc += ((q63_t) (*px++)) * (*pb++);
-
-      /* acc +=  b[N-3] * x[n-N-3] */
-      acc += ((q63_t) (*px++)) * (*pb++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      acc += ((q63_t) (*px++)) * (*pb++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Converting the result to 1.31 format */
-    /* Calc lower part of acc */
-    acc_l = acc & 0xffffffff;
-
-    /* Calc upper part of acc */
-    acc_h = (acc >> 32) & 0xffffffff;
-
-    acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-    /* Store the result from accumulator into the destination buffer. */
-    *pOut++ = (q31_t) acc;
-
-    /* Compute and store error */
-    e = *pRef++ - (q31_t) acc;
-
-    *pErr++ = (q31_t) e;
-
-    /* Compute alpha i.e. intermediate constant for taps update */
-    alpha = (q31_t) (((q63_t) e * mu) >> 31);
-
-    /* Initialize state pointer */
-    /* Advance state pointer by 1 for the next sample */
-    px = pState++;
-
-    /* Initialize coefficient pointer */
-    pb = pCoeffs;
-
-    /* Loop unrolling.  Process 4 taps at a time. */
-    tapCnt = numTaps >> 2;
-
-    /* Update filter coefficients */
-    while(tapCnt > 0u)
-    {
-      /* coef is in 2.30 format */
-      coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
-      /* get coef in 1.31 format by left shifting */
-      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
-      /* update coefficient buffer to next coefficient */
-      pb++;
-
-      coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
-      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
-      pb++;
-
-      coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
-      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
-      pb++;
-
-      coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
-      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
-      pb++;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
-    tapCnt = numTaps % 0x4u;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
-      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
-      pb++;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Processing is complete. Now copy the last numTaps - 1 samples to the    
-     satrt of the state buffer. This prepares the state buffer for the    
-     next function call. */
-
-  /* Points to the start of the pState buffer */
-  pStateCurnt = S->pState;
-
-  /* Loop unrolling for (numTaps - 1u) samples copy */
-  tapCnt = (numTaps - 1u) >> 2u;
-
-  /* copy data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-  /* Calculate remaining number of copies */
-  tapCnt = (numTaps - 1u) % 0x4u;
-
-  /* Copy the remaining q31_t data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  while(blkCnt > 0u)
-  {
-    /* Copy the new input sample into the state buffer */
-    *pStateCurnt++ = *pSrc++;
-
-    /* Initialize pState pointer */
-    px = pState;
-
-    /* Initialize pCoeffs pointer */
-    pb = pCoeffs;
-
-    /* Set the accumulator to zero */
-    acc = 0;
-
-    /* Loop over numTaps number of values */
-    tapCnt = numTaps;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      acc += ((q63_t) (*px++)) * (*pb++);
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Converting the result to 1.31 format */
-    /* Store the result from accumulator into the destination buffer. */
-    /* Calc lower part of acc */
-    acc_l = acc & 0xffffffff;
-
-    /* Calc upper part of acc */
-    acc_h = (acc >> 32) & 0xffffffff;
-
-    acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
-
-    *pOut++ = (q31_t) acc;
-
-    /* Compute and store error */
-    e = *pRef++ - (q31_t) acc;
-
-    *pErr++ = (q31_t) e;
-
-    /* Weighting factor for the LMS version */
-    alpha = (q31_t) (((q63_t) e * mu) >> 31);
-
-    /* Initialize pState pointer */
-    /* Advance state pointer by 1 for the next sample */
-    px = pState++;
-
-    /* Initialize pCoeffs pointer */
-    pb = pCoeffs;
-
-    /* Loop over numTaps number of values */
-    tapCnt = numTaps;
-
-    while(tapCnt > 0u)
-    {
-      /* Perform the multiply-accumulate */
-      coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
-      *pb += (coef << 1u);
-      pb++;
-
-      /* Decrement the loop counter */
-      tapCnt--;
-    }
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Processing is complete. Now copy the last numTaps - 1 samples to the     
-     start of the state buffer. This prepares the state buffer for the   
-     next function call. */
-
-  /* Points to the start of the pState buffer */
-  pStateCurnt = S->pState;
-
-  /*  Copy (numTaps - 1u) samples  */
-  tapCnt = (numTaps - 1u);
-
-  /* Copy the data */
-  while(tapCnt > 0u)
-  {
-    *pStateCurnt++ = *pState++;
-
-    /* Decrement the loop counter */
-    tapCnt--;
-  }
-
-#endif /*   #ifndef ARM_MATH_CM0 */
-
-}
-
-/**    
-   * @} end of LMS group    
-   */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_add_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_add_f32.c
deleted file mode 100644
index 09099ccb8..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_add_f32.c
+++ /dev/null
@@ -1,206 +0,0 @@
-/* ----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_mat_add_f32.c    
-*    
-* Description:	Floating-point matrix addition    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.5  2010/04/26     
-*    incorporated review comments and updated with latest CMSIS layer    
-*    
-* Version 0.0.3  2010/03/10     
-*    Initial version    
-* -------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**        
- * @ingroup groupMatrix        
- */
-
-/**        
- * @defgroup MatrixAdd Matrix Addition        
- *        
- * Adds two matrices.        
- * \image html MatrixAddition.gif "Addition of two 3 x 3 matrices"        
- *        
- * The functions check to make sure that        
- * pSrcA, pSrcB, and pDst have the same        
- * number of rows and columns.        
- */
-
-/**        
- * @addtogroup MatrixAdd        
- * @{        
- */
-
-
-/**        
- * @brief Floating-point matrix addition.        
- * @param[in]       *pSrcA points to the first input matrix structure        
- * @param[in]       *pSrcB points to the second input matrix structure        
- * @param[out]      *pDst points to output matrix structure        
- * @return     		The function returns either        
- * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.        
- */
-
-arm_status arm_mat_add_f32(
-  const arm_matrix_instance_f32 * pSrcA,
-  const arm_matrix_instance_f32 * pSrcB,
-  arm_matrix_instance_f32 * pDst)
-{
-  float32_t *pIn1 = pSrcA->pData;                /* input data matrix pointer A  */
-  float32_t *pIn2 = pSrcB->pData;                /* input data matrix pointer B  */
-  float32_t *pOut = pDst->pData;                 /* output data matrix pointer   */
-
-#ifndef ARM_MATH_CM0
-
-  float32_t inA1, inA2, inB1, inB2, out1, out2;  /* temporary variables */
-
-#endif //      #ifndef ARM_MATH_CM0
-
-  uint32_t numSamples;                           /* total number of elements in the matrix  */
-  uint32_t blkCnt;                               /* loop counters */
-  arm_status status;                             /* status of matrix addition */
-
-#ifdef ARM_MATH_MATRIX_CHECK
-  /* Check for matrix mismatch condition */
-  if((pSrcA->numRows != pSrcB->numRows) ||
-     (pSrcA->numCols != pSrcB->numCols) ||
-     (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif
-  {
-
-    /* Total number of samples in the input matrix */
-    numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
-
-#ifndef ARM_MATH_CM0
-
-    /* Loop unrolling */
-    blkCnt = numSamples >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-     ** a second loop below computes the remaining 1 to 3 samples. */
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) + B(m,n) */
-      /* Add and then store the results in the destination buffer. */
-      /* Read values from source A */
-      inA1 = pIn1[0];
-
-      /* Read values from source B */
-      inB1 = pIn2[0];
-
-      /* Read values from source A */
-      inA2 = pIn1[1];
-
-      /* out = sourceA + sourceB */
-      out1 = inA1 + inB1;
-
-      /* Read values from source B */
-      inB2 = pIn2[1];
-
-      /* Read values from source A */
-      inA1 = pIn1[2];
-
-      /* out = sourceA + sourceB */
-      out2 = inA2 + inB2;
-
-      /* Read values from source B */
-      inB1 = pIn2[2];
-
-      /* Store result in destination */
-      pOut[0] = out1;
-      pOut[1] = out2;
-
-      /* Read values from source A */
-      inA2 = pIn1[3];
-
-      /* Read values from source B */
-      inB2 = pIn2[3];
-
-      /* out = sourceA + sourceB */
-      out1 = inA1 + inB1;
-
-      /* out = sourceA + sourceB */
-      out2 = inA2 + inB2;
-
-      /* Store result in destination */
-      pOut[2] = out1;
-
-      /* Store result in destination */
-      pOut[3] = out2;
-
-
-      /* update pointers to process next sampels */
-      pIn1 += 4u;
-      pIn2 += 4u;
-      pOut += 4u;
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
-     ** No loop unrolling is used. */
-    blkCnt = numSamples % 0x4u;
-
-#else
-
-    /* Run the below code for Cortex-M0 */
-
-    /* Initialize blkCnt with number of samples */
-    blkCnt = numSamples;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) + B(m,n) */
-      /* Add and then store the results in the destination buffer. */
-      *pOut++ = (*pIn1++) + (*pIn2++);
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-
-  }
-
-  /* Return to application */
-  return (status);
-}
-
-/**        
- * @} end of MatrixAdd group        
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_add_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_add_q15.c
deleted file mode 100644
index 4bfc87862..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_add_q15.c
+++ /dev/null
@@ -1,161 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_mat_add_q15.c    
-*    
-* Description:	Q15 matrix addition    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.5  2010/04/26     
-*    incorporated review comments and updated with latest CMSIS layer    
-*    
-* Version 0.0.3  2010/03/10     
-*    Initial version    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupMatrix    
- */
-
-/**    
- * @addtogroup MatrixAdd    
- * @{    
- */
-
-/**    
- * @brief Q15 matrix addition.    
- * @param[in]       *pSrcA points to the first input matrix structure    
- * @param[in]       *pSrcB points to the second input matrix structure    
- * @param[out]      *pDst points to output matrix structure    
- * @return     		The function returns either    
- * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function uses saturating arithmetic.    
- * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated.    
- */
-
-arm_status arm_mat_add_q15(
-  const arm_matrix_instance_q15 * pSrcA,
-  const arm_matrix_instance_q15 * pSrcB,
-  arm_matrix_instance_q15 * pDst)
-{
-  q15_t *pInA = pSrcA->pData;                    /* input data matrix pointer A  */
-  q15_t *pInB = pSrcB->pData;                    /* input data matrix pointer B */
-  q15_t *pOut = pDst->pData;                     /* output data matrix pointer */
-  uint16_t numSamples;                           /* total number of elements in the matrix  */
-  uint32_t blkCnt;                               /* loop counters  */
-  arm_status status;                             /* status of matrix addition  */
-
-#ifdef ARM_MATH_MATRIX_CHECK
-
-
-  /* Check for matrix mismatch condition */
-  if((pSrcA->numRows != pSrcB->numRows) ||
-     (pSrcA->numCols != pSrcB->numCols) ||
-     (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
-
-  {
-    /* Total number of samples in the input matrix */
-    numSamples = (uint16_t) (pSrcA->numRows * pSrcA->numCols);
-
-#ifndef ARM_MATH_CM0
-
-    /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-    /* Loop unrolling */
-    blkCnt = (uint32_t) numSamples >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-     ** a second loop below computes the remaining 1 to 3 samples. */
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) + B(m,n) */
-      /* Add, Saturate and then store the results in the destination buffer. */
-      *__SIMD32(pOut)++ = __QADD16(*__SIMD32(pInA)++, *__SIMD32(pInB)++);
-      *__SIMD32(pOut)++ = __QADD16(*__SIMD32(pInA)++, *__SIMD32(pInB)++);
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-     ** No loop unrolling is used. */
-    blkCnt = (uint32_t) numSamples % 0x4u;
-
-    /* q15 pointers of input and output are initialized */
-
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) + B(m,n) */
-      /* Add, Saturate and then store the results in the destination buffer. */
-      *pOut++ = (q15_t) __QADD16(*pInA++, *pInB++);
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-#else
-
-    /* Run the below code for Cortex-M0 */
-
-    /* Initialize blkCnt with number of samples */
-    blkCnt = (uint32_t) numSamples;
-
-
-    /* q15 pointers of input and output are initialized */
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) + B(m,n) */
-      /* Add, Saturate and then store the results in the destination buffer. */
-      *pOut++ = (q15_t) __SSAT(((q31_t) * pInA++ + *pInB++), 16);
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-}
-
-/**    
- * @} end of MatrixAdd group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_add_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_add_q31.c
deleted file mode 100644
index 1f7be21c5..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_add_q31.c
+++ /dev/null
@@ -1,205 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_mat_add_q31.c    
-*    
-* Description:	Q31 matrix addition    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.5  2010/04/26     
-*    incorporated review comments and updated with latest CMSIS layer    
-*    
-* Version 0.0.3  2010/03/10     
-*    Initial version    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**      
- * @ingroup groupMatrix      
- */
-
-/**      
- * @addtogroup MatrixAdd      
- * @{      
- */
-
-/**      
- * @brief Q31 matrix addition.      
- * @param[in]       *pSrcA points to the first input matrix structure      
- * @param[in]       *pSrcB points to the second input matrix structure      
- * @param[out]      *pDst points to output matrix structure      
- * @return     		The function returns either      
- * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.      
- *      
- * Scaling and Overflow Behavior:      
- * \par      
- * The function uses saturating arithmetic.      
- * Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] will be saturated.      
- */
-
-arm_status arm_mat_add_q31(
-  const arm_matrix_instance_q31 * pSrcA,
-  const arm_matrix_instance_q31 * pSrcB,
-  arm_matrix_instance_q31 * pDst)
-{
-  q31_t *pIn1 = pSrcA->pData;                    /* input data matrix pointer A */
-  q31_t *pIn2 = pSrcB->pData;                    /* input data matrix pointer B */
-  q31_t *pOut = pDst->pData;                     /* output data matrix pointer */
-  q31_t inA1, inB1;                              /* temporary variables */
-
-#ifndef ARM_MATH_CM0
-
-  q31_t inA2, inB2;                              /* temporary variables */
-  q31_t out1, out2;                              /* temporary variables */
-
-#endif //      #ifndef ARM_MATH_CM0
-
-  uint32_t numSamples;                           /* total number of elements in the matrix  */
-  uint32_t blkCnt;                               /* loop counters */
-  arm_status status;                             /* status of matrix addition */
-
-#ifdef ARM_MATH_MATRIX_CHECK
-  /* Check for matrix mismatch condition */
-  if((pSrcA->numRows != pSrcB->numRows) ||
-     (pSrcA->numCols != pSrcB->numCols) ||
-     (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif
-  {
-    /* Total number of samples in the input matrix */
-    numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
-
-#ifndef ARM_MATH_CM0
-
-    /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-    /* Loop Unrolling */
-    blkCnt = numSamples >> 2u;
-
-
-    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-     ** a second loop below computes the remaining 1 to 3 samples. */
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) + B(m,n) */
-      /* Add, saturate and then store the results in the destination buffer. */
-      /* Read values from source A */
-      inA1 = pIn1[0];
-
-      /* Read values from source B */
-      inB1 = pIn2[0];
-
-      /* Read values from source A */
-      inA2 = pIn1[1];
-
-      /* Add and saturate */
-      out1 = __QADD(inA1, inB1);
-
-      /* Read values from source B */
-      inB2 = pIn2[1];
-
-      /* Read values from source A */
-      inA1 = pIn1[2];
-
-      /* Add and saturate */
-      out2 = __QADD(inA2, inB2);
-
-      /* Read values from source B */
-      inB1 = pIn2[2];
-
-      /* Store result in destination */
-      pOut[0] = out1;
-      pOut[1] = out2;
-
-      /* Read values from source A */
-      inA2 = pIn1[3];
-
-      /* Read values from source B */
-      inB2 = pIn2[3];
-
-      /* Add and saturate */
-      out1 = __QADD(inA1, inB1);
-      out2 = __QADD(inA2, inB2);
-
-      /* Store result in destination */
-      pOut[2] = out1;
-      pOut[3] = out2;
-
-      /* update pointers to process next sampels */
-      pIn1 += 4u;
-      pIn2 += 4u;
-      pOut += 4u;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the numSamples is not a multiple of 4, compute any remaining output samples here.      
-     ** No loop unrolling is used. */
-    blkCnt = numSamples % 0x4u;
-
-#else
-
-    /* Run the below code for Cortex-M0 */
-
-    /* Initialize blkCnt with number of samples */
-    blkCnt = numSamples;
-
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) + B(m,n) */
-      /* Add, saturate and then store the results in the destination buffer. */
-      inA1 = *pIn1++;
-      inB1 = *pIn2++;
-
-      inA1 = __QADD(inA1, inB1);
-
-      /* Decrement the loop counter */
-      blkCnt--;
-
-      *pOut++ = inA1;
-
-    }
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-}
-
-/**      
- * @} end of MatrixAdd group      
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_init_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_init_f32.c
deleted file mode 100644
index 9ffc96ee3..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_init_f32.c
+++ /dev/null
@@ -1,86 +0,0 @@
-/* ----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_mat_init_f32.c    
-*    
-* Description:	Floating-point matrix initialization.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.5  2010/04/26     
-*    incorporated review comments and updated with latest CMSIS layer    
-*    
-* Version 0.0.3  2010/03/10     
-*    Initial version    
-* -------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupMatrix    
- */
-
-/**    
- * @defgroup MatrixInit Matrix Initialization    
- *    
- * Initializes the underlying matrix data structure.    
- * The functions set the numRows,    
- * numCols, and pData fields    
- * of the matrix data structure.    
- */
-
-/**    
- * @addtogroup MatrixInit    
- * @{    
- */
-
-/**    
-   * @brief  Floating-point matrix initialization.    
-   * @param[in,out] *S             points to an instance of the floating-point matrix structure.    
-   * @param[in]     nRows          number of rows in the matrix.    
-   * @param[in]     nColumns       number of columns in the matrix.    
-   * @param[in]     *pData	   points to the matrix data array.    
-   * @return        none    
-   */
-
-void arm_mat_init_f32(
-  arm_matrix_instance_f32 * S,
-  uint16_t nRows,
-  uint16_t nColumns,
-  float32_t * pData)
-{
-  /* Assign Number of Rows */
-  S->numRows = nRows;
-
-  /* Assign Number of Columns */
-  S->numCols = nColumns;
-
-  /* Assign Data pointer */
-  S->pData = pData;
-}
-
-/**    
- * @} end of MatrixInit group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_init_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_init_q15.c
deleted file mode 100644
index 2bada7fed..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_init_q15.c
+++ /dev/null
@@ -1,78 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_mat_init_q15.c    
-*    
-* Description:	Q15 matrix initialization.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.5  2010/04/26     
-*    incorporated review comments and updated with latest CMSIS layer    
-*    
-* Version 0.0.3  2010/03/10     
-*    Initial version    
-* -------------------------------------------------------------------------- */
-
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupMatrix    
- */
-
-/**    
- * @addtogroup MatrixInit    
- * @{    
- */
-
-  /**    
-   * @brief  Q15 matrix initialization.    
-   * @param[in,out] *S             points to an instance of the floating-point matrix structure.    
-   * @param[in]     nRows          number of rows in the matrix.    
-   * @param[in]     nColumns       number of columns in the matrix.    
-   * @param[in]     *pData	   points to the matrix data array.    
-   * @return        none    
-   */
-
-void arm_mat_init_q15(
-  arm_matrix_instance_q15 * S,
-  uint16_t nRows,
-  uint16_t nColumns,
-  q15_t * pData)
-{
-  /* Assign Number of Rows */
-  S->numRows = nRows;
-
-  /* Assign Number of Columns */
-  S->numCols = nColumns;
-
-  /* Assign Data pointer */
-  S->pData = pData;
-}
-
-/**    
- * @} end of MatrixInit group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_init_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_init_q31.c
deleted file mode 100644
index 8828c2d2e..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_init_q31.c
+++ /dev/null
@@ -1,82 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_mat_init_q31.c    
-*    
-* Description:	Q31 matrix initialization.    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.5  2010/04/26     
-*    incorporated review comments and updated with latest CMSIS layer    
-*    
-* Version 0.0.3  2010/03/10     
-*    Initial version    
-* -------------------------------------------------------------------------- */
-
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupMatrix    
- */
-
-/**    
- * @defgroup MatrixInit Matrix Initialization    
- *    
- */
-
-/**    
- * @addtogroup MatrixInit    
- * @{    
- */
-
-  /**    
-   * @brief  Q31 matrix initialization.    
-   * @param[in,out] *S             points to an instance of the floating-point matrix structure.    
-   * @param[in]     nRows          number of rows in the matrix.    
-   * @param[in]     nColumns       number of columns in the matrix.    
-   * @param[in]     *pData	   points to the matrix data array.    
-   * @return        none    
-   */
-
-void arm_mat_init_q31(
-  arm_matrix_instance_q31 * S,
-  uint16_t nRows,
-  uint16_t nColumns,
-  q31_t * pData)
-{
-  /* Assign Number of Rows */
-  S->numRows = nRows;
-
-  /* Assign Number of Columns */
-  S->numCols = nColumns;
-
-  /* Assign Data pointer */
-  S->pData = pData;
-}
-
-/**    
- * @} end of MatrixInit group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_inverse_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_inverse_f32.c
deleted file mode 100644
index f346916e0..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_inverse_f32.c
+++ /dev/null
@@ -1,668 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_mat_inverse_f32.c    
-*    
-* Description:	Floating-point matrix inverse.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupMatrix    
- */
-
-/**    
- * @defgroup MatrixInv Matrix Inverse    
- *    
- * Computes the inverse of a matrix.    
- *    
- * The inverse is defined only if the input matrix is square and non-singular (the determinant    
- * is non-zero). The function checks that the input and output matrices are square and of the    
- * same size.    
- *    
- * Matrix inversion is numerically sensitive and the CMSIS DSP library only supports matrix    
- * inversion of floating-point matrices.    
- *    
- * \par Algorithm    
- * The Gauss-Jordan method is used to find the inverse.    
- * The algorithm performs a sequence of elementary row-operations till it    
- * reduces the input matrix to an identity matrix. Applying the same sequence    
- * of elementary row-operations to an identity matrix yields the inverse matrix.    
- * If the input matrix is singular, then the algorithm terminates and returns error status    
- * ARM_MATH_SINGULAR.    
- * \image html MatrixInverse.gif "Matrix Inverse of a 3 x 3 matrix using Gauss-Jordan Method"    
- */
-
-/**    
- * @addtogroup MatrixInv    
- * @{    
- */
-
-/**    
- * @brief Floating-point matrix inverse.    
- * @param[in]       *pSrc points to input matrix structure    
- * @param[out]      *pDst points to output matrix structure    
- * @return     		The function returns    
- * ARM_MATH_SIZE_MISMATCH if the input matrix is not square or if the size    
- * of the output matrix does not match the size of the input matrix.    
- * If the input matrix is found to be singular (non-invertible), then the function returns    
- * ARM_MATH_SINGULAR.  Otherwise, the function returns ARM_MATH_SUCCESS.    
- */
-
-arm_status arm_mat_inverse_f32(
-  const arm_matrix_instance_f32 * pSrc,
-  arm_matrix_instance_f32 * pDst)
-{
-  float32_t *pIn = pSrc->pData;                  /* input data matrix pointer */
-  float32_t *pOut = pDst->pData;                 /* output data matrix pointer */
-  float32_t *pInT1, *pInT2;                      /* Temporary input data matrix pointer */
-  float32_t *pInT3, *pInT4;                      /* Temporary output data matrix pointer */
-  float32_t *pPivotRowIn, *pPRT_in, *pPivotRowDst, *pPRT_pDst;  /* Temporary input and output data matrix pointer */
-  uint32_t numRows = pSrc->numRows;              /* Number of rows in the matrix  */
-  uint32_t numCols = pSrc->numCols;              /* Number of Cols in the matrix  */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  float32_t Xchg, in = 0.0f, in1;                /* Temporary input values  */
-  uint32_t i, rowCnt, flag = 0u, j, loopCnt, k, l;      /* loop counters */
-  arm_status status;                             /* status of matrix inverse */
-
-#ifdef ARM_MATH_MATRIX_CHECK
-
-
-  /* Check for matrix mismatch condition */
-  if((pSrc->numRows != pSrc->numCols) || (pDst->numRows != pDst->numCols)
-     || (pSrc->numRows != pDst->numRows))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
-
-  {
-
-    /*--------------------------------------------------------------------------------------------------------------    
-	 * Matrix Inverse can be solved using elementary row operations.    
-	 *    
-	 *	Gauss-Jordan Method:    
-	 *    
-	 *	   1. First combine the identity matrix and the input matrix separated by a bar to form an    
-	 *        augmented matrix as follows:    
-	 *				        _ 	      	       _         _	       _    
-	 *					   |  a11  a12 | 1   0  |       |  X11 X12  |    
-	 *					   |           |        |   =   |           |    
-	 *					   |_ a21  a22 | 0   1 _|       |_ X21 X21 _|    
-	 *    
-	 *		2. In our implementation, pDst Matrix is used as identity matrix.    
-	 *    
-	 *		3. Begin with the first row. Let i = 1.    
-	 *    
-	 *	    4. Check to see if the pivot for row i is zero.    
-	 *		   The pivot is the element of the main diagonal that is on the current row.    
-	 *		   For instance, if working with row i, then the pivot element is aii.    
-	 *		   If the pivot is zero, exchange that row with a row below it that does not    
-	 *		   contain a zero in column i. If this is not possible, then an inverse    
-	 *		   to that matrix does not exist.    
-	 *    
-	 *	    5. Divide every element of row i by the pivot.    
-	 *    
-	 *	    6. For every row below and  row i, replace that row with the sum of that row and    
-	 *		   a multiple of row i so that each new element in column i below row i is zero.    
-	 *    
-	 *	    7. Move to the next row and column and repeat steps 2 through 5 until you have zeros    
-	 *		   for every element below and above the main diagonal.    
-	 *    
-	 *		8. Now an identical matrix is formed to the left of the bar(input matrix, pSrc).    
-	 *		   Therefore, the matrix to the right of the bar is our solution(pDst matrix, pDst).    
-	 *----------------------------------------------------------------------------------------------------------------*/
-
-    /* Working pointer for destination matrix */
-    pInT2 = pOut;
-
-    /* Loop over the number of rows */
-    rowCnt = numRows;
-
-    /* Making the destination matrix as identity matrix */
-    while(rowCnt > 0u)
-    {
-      /* Writing all zeroes in lower triangle of the destination matrix */
-      j = numRows - rowCnt;
-      while(j > 0u)
-      {
-        *pInT2++ = 0.0f;
-        j--;
-      }
-
-      /* Writing all ones in the diagonal of the destination matrix */
-      *pInT2++ = 1.0f;
-
-      /* Writing all zeroes in upper triangle of the destination matrix */
-      j = rowCnt - 1u;
-      while(j > 0u)
-      {
-        *pInT2++ = 0.0f;
-        j--;
-      }
-
-      /* Decrement the loop counter */
-      rowCnt--;
-    }
-
-    /* Loop over the number of columns of the input matrix.    
-       All the elements in each column are processed by the row operations */
-    loopCnt = numCols;
-
-    /* Index modifier to navigate through the columns */
-    l = 0u;
-
-    while(loopCnt > 0u)
-    {
-      /* Check if the pivot element is zero..    
-       * If it is zero then interchange the row with non zero row below.    
-       * If there is no non zero element to replace in the rows below,    
-       * then the matrix is Singular. */
-
-      /* Working pointer for the input matrix that points    
-       * to the pivot element of the particular row  */
-      pInT1 = pIn + (l * numCols);
-
-      /* Working pointer for the destination matrix that points    
-       * to the pivot element of the particular row  */
-      pInT3 = pOut + (l * numCols);
-
-      /* Temporary variable to hold the pivot value */
-      in = *pInT1;
-
-      /* Destination pointer modifier */
-      k = 1u;
-
-      /* Check if the pivot element is zero */
-      if(*pInT1 == 0.0f)
-      {
-        /* Loop over the number rows present below */
-        i = numRows - (l + 1u);
-
-        while(i > 0u)
-        {
-          /* Update the input and destination pointers */
-          pInT2 = pInT1 + (numCols * l);
-          pInT4 = pInT3 + (numCols * k);
-
-          /* Check if there is a non zero pivot element to    
-           * replace in the rows below */
-          if(*pInT2 != 0.0f)
-          {
-            /* Loop over number of columns    
-             * to the right of the pilot element */
-            j = numCols - l;
-
-            while(j > 0u)
-            {
-              /* Exchange the row elements of the input matrix */
-              Xchg = *pInT2;
-              *pInT2++ = *pInT1;
-              *pInT1++ = Xchg;
-
-              /* Decrement the loop counter */
-              j--;
-            }
-
-            /* Loop over number of columns of the destination matrix */
-            j = numCols;
-
-            while(j > 0u)
-            {
-              /* Exchange the row elements of the destination matrix */
-              Xchg = *pInT4;
-              *pInT4++ = *pInT3;
-              *pInT3++ = Xchg;
-
-              /* Decrement the loop counter */
-              j--;
-            }
-
-            /* Flag to indicate whether exchange is done or not */
-            flag = 1u;
-
-            /* Break after exchange is done */
-            break;
-          }
-
-          /* Update the destination pointer modifier */
-          k++;
-
-          /* Decrement the loop counter */
-          i--;
-        }
-      }
-
-      /* Update the status if the matrix is singular */
-      if((flag != 1u) && (in == 0.0f))
-      {
-        status = ARM_MATH_SINGULAR;
-
-        break;
-      }
-
-      /* Points to the pivot row of input and destination matrices */
-      pPivotRowIn = pIn + (l * numCols);
-      pPivotRowDst = pOut + (l * numCols);
-
-      /* Temporary pointers to the pivot row pointers */
-      pInT1 = pPivotRowIn;
-      pInT2 = pPivotRowDst;
-
-      /* Pivot element of the row */
-      in = *(pIn + (l * numCols));
-
-      /* Loop over number of columns    
-       * to the right of the pilot element */
-      j = (numCols - l);
-
-      while(j > 0u)
-      {
-        /* Divide each element of the row of the input matrix    
-         * by the pivot element */
-        in1 = *pInT1;
-        *pInT1++ = in1 / in;
-
-        /* Decrement the loop counter */
-        j--;
-      }
-
-      /* Loop over number of columns of the destination matrix */
-      j = numCols;
-
-      while(j > 0u)
-      {
-        /* Divide each element of the row of the destination matrix    
-         * by the pivot element */
-        in1 = *pInT2;
-        *pInT2++ = in1 / in;
-
-        /* Decrement the loop counter */
-        j--;
-      }
-
-      /* Replace the rows with the sum of that row and a multiple of row i    
-       * so that each new element in column i above row i is zero.*/
-
-      /* Temporary pointers for input and destination matrices */
-      pInT1 = pIn;
-      pInT2 = pOut;
-
-      /* index used to check for pivot element */
-      i = 0u;
-
-      /* Loop over number of rows */
-      /*  to be replaced by the sum of that row and a multiple of row i */
-      k = numRows;
-
-      while(k > 0u)
-      {
-        /* Check for the pivot element */
-        if(i == l)
-        {
-          /* If the processing element is the pivot element,    
-             only the columns to the right are to be processed */
-          pInT1 += numCols - l;
-
-          pInT2 += numCols;
-        }
-        else
-        {
-          /* Element of the reference row */
-          in = *pInT1;
-
-          /* Working pointers for input and destination pivot rows */
-          pPRT_in = pPivotRowIn;
-          pPRT_pDst = pPivotRowDst;
-
-          /* Loop over the number of columns to the right of the pivot element,    
-             to replace the elements in the input matrix */
-          j = (numCols - l);
-
-          while(j > 0u)
-          {
-            /* Replace the element by the sum of that row    
-               and a multiple of the reference row  */
-            in1 = *pInT1;
-            *pInT1++ = in1 - (in * *pPRT_in++);
-
-            /* Decrement the loop counter */
-            j--;
-          }
-
-          /* Loop over the number of columns to    
-             replace the elements in the destination matrix */
-          j = numCols;
-
-          while(j > 0u)
-          {
-            /* Replace the element by the sum of that row    
-               and a multiple of the reference row  */
-            in1 = *pInT2;
-            *pInT2++ = in1 - (in * *pPRT_pDst++);
-
-            /* Decrement the loop counter */
-            j--;
-          }
-
-        }
-
-        /* Increment the temporary input pointer */
-        pInT1 = pInT1 + l;
-
-        /* Decrement the loop counter */
-        k--;
-
-        /* Increment the pivot index */
-        i++;
-      }
-
-      /* Increment the input pointer */
-      pIn++;
-
-      /* Decrement the loop counter */
-      loopCnt--;
-
-      /* Increment the index modifier */
-      l++;
-    }
-
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  float32_t Xchg, in = 0.0f;                     /* Temporary input values  */
-  uint32_t i, rowCnt, flag = 0u, j, loopCnt, k, l;      /* loop counters */
-  arm_status status;                             /* status of matrix inverse */
-
-#ifdef ARM_MATH_MATRIX_CHECK
-
-  /* Check for matrix mismatch condition */
-  if((pSrc->numRows != pSrc->numCols) || (pDst->numRows != pDst->numCols)
-     || (pSrc->numRows != pDst->numRows))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*      #ifdef ARM_MATH_MATRIX_CHECK    */
-  {
-
-    /*--------------------------------------------------------------------------------------------------------------       
-	 * Matrix Inverse can be solved using elementary row operations.        
-	 *        
-	 *	Gauss-Jordan Method:       
-	 *	 	       
-	 *	   1. First combine the identity matrix and the input matrix separated by a bar to form an        
-	 *        augmented matrix as follows:        
-	 *				        _  _	      _	    _	   _   _         _	       _       
-	 *					   |  |  a11  a12  | | | 1   0  |   |       |  X11 X12  |         
-	 *					   |  |            | | |        |   |   =   |           |        
-	 *					   |_ |_ a21  a22 _| | |_0   1 _|  _|       |_ X21 X21 _|       
-	 *					          
-	 *		2. In our implementation, pDst Matrix is used as identity matrix.    
-	 *       
-	 *		3. Begin with the first row. Let i = 1.       
-	 *       
-	 *	    4. Check to see if the pivot for row i is zero.       
-	 *		   The pivot is the element of the main diagonal that is on the current row.       
-	 *		   For instance, if working with row i, then the pivot element is aii.       
-	 *		   If the pivot is zero, exchange that row with a row below it that does not        
-	 *		   contain a zero in column i. If this is not possible, then an inverse        
-	 *		   to that matrix does not exist.       
-	 *	       
-	 *	    5. Divide every element of row i by the pivot.       
-	 *	       
-	 *	    6. For every row below and  row i, replace that row with the sum of that row and        
-	 *		   a multiple of row i so that each new element in column i below row i is zero.       
-	 *	       
-	 *	    7. Move to the next row and column and repeat steps 2 through 5 until you have zeros       
-	 *		   for every element below and above the main diagonal.        
-	 *		   		          
-	 *		8. Now an identical matrix is formed to the left of the bar(input matrix, src).       
-	 *		   Therefore, the matrix to the right of the bar is our solution(dst matrix, dst).         
-	 *----------------------------------------------------------------------------------------------------------------*/
-
-    /* Working pointer for destination matrix */
-    pInT2 = pOut;
-
-    /* Loop over the number of rows */
-    rowCnt = numRows;
-
-    /* Making the destination matrix as identity matrix */
-    while(rowCnt > 0u)
-    {
-      /* Writing all zeroes in lower triangle of the destination matrix */
-      j = numRows - rowCnt;
-      while(j > 0u)
-      {
-        *pInT2++ = 0.0f;
-        j--;
-      }
-
-      /* Writing all ones in the diagonal of the destination matrix */
-      *pInT2++ = 1.0f;
-
-      /* Writing all zeroes in upper triangle of the destination matrix */
-      j = rowCnt - 1u;
-      while(j > 0u)
-      {
-        *pInT2++ = 0.0f;
-        j--;
-      }
-
-      /* Decrement the loop counter */
-      rowCnt--;
-    }
-
-    /* Loop over the number of columns of the input matrix.     
-       All the elements in each column are processed by the row operations */
-    loopCnt = numCols;
-
-    /* Index modifier to navigate through the columns */
-    l = 0u;
-    //for(loopCnt = 0u; loopCnt < numCols; loopCnt++)   
-    while(loopCnt > 0u)
-    {
-      /* Check if the pivot element is zero..    
-       * If it is zero then interchange the row with non zero row below.   
-       * If there is no non zero element to replace in the rows below,   
-       * then the matrix is Singular. */
-
-      /* Working pointer for the input matrix that points     
-       * to the pivot element of the particular row  */
-      pInT1 = pIn + (l * numCols);
-
-      /* Working pointer for the destination matrix that points     
-       * to the pivot element of the particular row  */
-      pInT3 = pOut + (l * numCols);
-
-      /* Temporary variable to hold the pivot value */
-      in = *pInT1;
-
-      /* Destination pointer modifier */
-      k = 1u;
-
-      /* Check if the pivot element is zero */
-      if(*pInT1 == 0.0f)
-      {
-        /* Loop over the number rows present below */
-        for (i = (l + 1u); i < numRows; i++)
-        {
-          /* Update the input and destination pointers */
-          pInT2 = pInT1 + (numCols * l);
-          pInT4 = pInT3 + (numCols * k);
-
-          /* Check if there is a non zero pivot element to     
-           * replace in the rows below */
-          if(*pInT2 != 0.0f)
-          {
-            /* Loop over number of columns     
-             * to the right of the pilot element */
-            for (j = 0u; j < (numCols - l); j++)
-            {
-              /* Exchange the row elements of the input matrix */
-              Xchg = *pInT2;
-              *pInT2++ = *pInT1;
-              *pInT1++ = Xchg;
-            }
-
-            for (j = 0u; j < numCols; j++)
-            {
-              Xchg = *pInT4;
-              *pInT4++ = *pInT3;
-              *pInT3++ = Xchg;
-            }
-
-            /* Flag to indicate whether exchange is done or not */
-            flag = 1u;
-
-            /* Break after exchange is done */
-            break;
-          }
-
-          /* Update the destination pointer modifier */
-          k++;
-        }
-      }
-
-      /* Update the status if the matrix is singular */
-      if((flag != 1u) && (in == 0.0f))
-      {
-        status = ARM_MATH_SINGULAR;
-
-        break;
-      }
-
-      /* Points to the pivot row of input and destination matrices */
-      pPivotRowIn = pIn + (l * numCols);
-      pPivotRowDst = pOut + (l * numCols);
-
-      /* Temporary pointers to the pivot row pointers */
-      pInT1 = pPivotRowIn;
-      pInT2 = pPivotRowDst;
-
-      /* Pivot element of the row */
-      in = *(pIn + (l * numCols));
-
-      /* Loop over number of columns     
-       * to the right of the pilot element */
-      for (j = 0u; j < (numCols - l); j++)
-      {
-        /* Divide each element of the row of the input matrix     
-         * by the pivot element */
-        *pInT1++ = *pInT1 / in;
-      }
-      for (j = 0u; j < numCols; j++)
-      {
-        /* Divide each element of the row of the destination matrix     
-         * by the pivot element */
-        *pInT2++ = *pInT2 / in;
-      }
-
-      /* Replace the rows with the sum of that row and a multiple of row i     
-       * so that each new element in column i above row i is zero.*/
-
-      /* Temporary pointers for input and destination matrices */
-      pInT1 = pIn;
-      pInT2 = pOut;
-
-      for (i = 0u; i < numRows; i++)
-      {
-        /* Check for the pivot element */
-        if(i == l)
-        {
-          /* If the processing element is the pivot element,     
-             only the columns to the right are to be processed */
-          pInT1 += numCols - l;
-          pInT2 += numCols;
-        }
-        else
-        {
-          /* Element of the reference row */
-          in = *pInT1;
-
-          /* Working pointers for input and destination pivot rows */
-          pPRT_in = pPivotRowIn;
-          pPRT_pDst = pPivotRowDst;
-
-          /* Loop over the number of columns to the right of the pivot element,     
-             to replace the elements in the input matrix */
-          for (j = 0u; j < (numCols - l); j++)
-          {
-            /* Replace the element by the sum of that row     
-               and a multiple of the reference row  */
-            *pInT1++ = *pInT1 - (in * *pPRT_in++);
-          }
-          /* Loop over the number of columns to     
-             replace the elements in the destination matrix */
-          for (j = 0u; j < numCols; j++)
-          {
-            /* Replace the element by the sum of that row     
-               and a multiple of the reference row  */
-            *pInT2++ = *pInT2 - (in * *pPRT_pDst++);
-          }
-
-        }
-        /* Increment the temporary input pointer */
-        pInT1 = pInT1 + l;
-      }
-      /* Increment the input pointer */
-      pIn++;
-
-      /* Decrement the loop counter */
-      loopCnt--;
-      /* Increment the index modifier */
-      l++;
-    }
-
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-    /* Set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-
-    if((flag != 1u) && (in == 0.0f))
-    {
-      status = ARM_MATH_SINGULAR;
-    }
-  }
-  /* Return to application */
-  return (status);
-}
-
-/**    
- * @} end of MatrixInv group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_f32.c
deleted file mode 100644
index a2f513628..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_f32.c
+++ /dev/null
@@ -1,284 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_mat_mult_f32.c    
-*    
-* Description:  Floating-point matrix multiplication.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.5  2010/04/26     
-*    incorporated review comments and updated with latest CMSIS layer    
-*    
-* Version 0.0.3  2010/03/10     
-*    Initial version    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupMatrix    
- */
-
-/**    
- * @defgroup MatrixMult Matrix Multiplication    
- *    
- * Multiplies two matrices.    
- *    
- * \image html MatrixMultiplication.gif "Multiplication of two 3 x 3 matrices"    
-    
- * Matrix multiplication is only defined if the number of columns of the    
- * first matrix equals the number of rows of the second matrix.    
- * Multiplying an M x N matrix with an N x P matrix results    
- * in an M x P matrix.    
- * When matrix size checking is enabled, the functions check: (1) that the inner dimensions of    
- * pSrcA and pSrcB are equal; and (2) that the size of the output    
- * matrix equals the outer dimensions of pSrcA and pSrcB.    
- */
-
-
-/**    
- * @addtogroup MatrixMult    
- * @{    
- */
-
-/**    
- * @brief Floating-point matrix multiplication.    
- * @param[in]       *pSrcA points to the first input matrix structure    
- * @param[in]       *pSrcB points to the second input matrix structure    
- * @param[out]      *pDst points to output matrix structure    
- * @return     		The function returns either    
- * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.    
- */
-
-arm_status arm_mat_mult_f32(
-  const arm_matrix_instance_f32 * pSrcA,
-  const arm_matrix_instance_f32 * pSrcB,
-  arm_matrix_instance_f32 * pDst)
-{
-  float32_t *pIn1 = pSrcA->pData;                /* input data matrix pointer A */
-  float32_t *pIn2 = pSrcB->pData;                /* input data matrix pointer B */
-  float32_t *pInA = pSrcA->pData;                /* input data matrix pointer A  */
-  float32_t *pOut = pDst->pData;                 /* output data matrix pointer */
-  float32_t *px;                                 /* Temporary output data matrix pointer */
-  float32_t sum;                                 /* Accumulator */
-  uint16_t numRowsA = pSrcA->numRows;            /* number of rows of input matrix A */
-  uint16_t numColsB = pSrcB->numCols;            /* number of columns of input matrix B */
-  uint16_t numColsA = pSrcA->numCols;            /* number of columns of input matrix A */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  float32_t in1, in2, in3, in4;
-  uint16_t col, i = 0u, j, row = numRowsA, colCnt;      /* loop counters */
-  arm_status status;                             /* status of matrix multiplication */
-
-#ifdef ARM_MATH_MATRIX_CHECK
-
-
-  /* Check for matrix mismatch condition */
-  if((pSrcA->numCols != pSrcB->numRows) ||
-     (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
-  {
-
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*      #ifdef ARM_MATH_MATRIX_CHECK    */
-
-  {
-    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
-    /* row loop */
-    do
-    {
-      /* Output pointer is set to starting address of the row being processed */
-      px = pOut + i;
-
-      /* For every row wise process, the column loop counter is to be initiated */
-      col = numColsB;
-
-      /* For every row wise process, the pIn2 pointer is set    
-       ** to the starting address of the pSrcB data */
-      pIn2 = pSrcB->pData;
-
-      j = 0u;
-
-      /* column loop */
-      do
-      {
-        /* Set the variable sum, that acts as accumulator, to zero */
-        sum = 0.0f;
-
-        /* Initiate the pointer pIn1 to point to the starting address of the column being processed */
-        pIn1 = pInA;
-
-        /* Apply loop unrolling and compute 4 MACs simultaneously. */
-        colCnt = numColsA >> 2u;
-
-        /* matrix multiplication        */
-        while(colCnt > 0u)
-        {
-          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
-          in3 = *pIn2;
-          pIn2 += numColsB;
-          in1 = pIn1[0];
-          in2 = pIn1[1];
-          sum += in1 * in3;
-          in4 = *pIn2;
-          pIn2 += numColsB;
-          sum += in2 * in4;
-
-          in3 = *pIn2;
-          pIn2 += numColsB;
-          in1 = pIn1[2];
-          in2 = pIn1[3];
-          sum += in1 * in3;
-          in4 = *pIn2;
-          pIn2 += numColsB;
-          sum += in2 * in4;
-          pIn1 += 4u;
-
-          /* Decrement the loop count */
-          colCnt--;
-        }
-
-        /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here.    
-         ** No loop unrolling is used. */
-        colCnt = numColsA % 0x4u;
-
-        while(colCnt > 0u)
-        {
-          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
-          sum += *pIn1++ * (*pIn2);
-          pIn2 += numColsB;
-
-          /* Decrement the loop counter */
-          colCnt--;
-        }
-
-        /* Store the result in the destination buffer */
-        *px++ = sum;
-
-        /* Update the pointer pIn2 to point to the  starting address of the next column */
-        j++;
-        pIn2 = pSrcB->pData + j;
-
-        /* Decrement the column loop counter */
-        col--;
-
-      } while(col > 0u);
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  float32_t *pInB = pSrcB->pData;                /* input data matrix pointer B */
-  uint16_t col, i = 0u, row = numRowsA, colCnt;  /* loop counters */
-  arm_status status;                             /* status of matrix multiplication */
-
-#ifdef ARM_MATH_MATRIX_CHECK
-
-  /* Check for matrix mismatch condition */
-  if((pSrcA->numCols != pSrcB->numRows) ||
-     (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
-  {
-
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*      #ifdef ARM_MATH_MATRIX_CHECK    */
-
-  {
-    /* The following loop performs the dot-product of each row in pInA with each column in pInB */
-    /* row loop */
-    do
-    {
-      /* Output pointer is set to starting address of the row being processed */
-      px = pOut + i;
-
-      /* For every row wise process, the column loop counter is to be initiated */
-      col = numColsB;
-
-      /* For every row wise process, the pIn2 pointer is set     
-       ** to the starting address of the pSrcB data */
-      pIn2 = pSrcB->pData;
-
-      /* column loop */
-      do
-      {
-        /* Set the variable sum, that acts as accumulator, to zero */
-        sum = 0.0f;
-
-        /* Initialize the pointer pIn1 to point to the starting address of the row being processed */
-        pIn1 = pInA;
-
-        /* Matrix A columns number of MAC operations are to be performed */
-        colCnt = numColsA;
-
-        while(colCnt > 0u)
-        {
-          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
-          sum += *pIn1++ * (*pIn2);
-          pIn2 += numColsB;
-
-          /* Decrement the loop counter */
-          colCnt--;
-        }
-
-        /* Store the result in the destination buffer */
-        *px++ = sum;
-
-        /* Decrement the column loop counter */
-        col--;
-
-        /* Update the pointer pIn2 to point to the  starting address of the next column */
-        pIn2 = pInB + (numColsB - col);
-
-      } while(col > 0u);
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-      /* Update the pointer pInA to point to the  starting address of the next row */
-      i = i + numColsB;
-      pInA = pInA + numColsA;
-
-      /* Decrement the row loop counter */
-      row--;
-
-    } while(row > 0u);
-    /* Set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-}
-
-/**    
- * @} end of MatrixMult group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_fast_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_fast_q15.c
deleted file mode 100644
index a88e3cdd1..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_fast_q15.c
+++ /dev/null
@@ -1,361 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_mat_mult_fast_q15.c    
-*    
-* Description:	 Q15 matrix multiplication (fast variant)    
-*    
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupMatrix    
- */
-
-/**    
- * @addtogroup MatrixMult    
- * @{    
- */
-
-
-/**    
- * @brief Q15 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4    
- * @param[in]       *pSrcA points to the first input matrix structure    
- * @param[in]       *pSrcB points to the second input matrix structure    
- * @param[out]      *pDst points to output matrix structure    
- * @param[in]		*pState points to the array for storing intermediate results    
- * @return     		The function returns either    
- * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * The difference between the function arm_mat_mult_q15() and this fast variant is that    
- * the fast variant use a 32-bit rather than a 64-bit accumulator.    
- * The result of each 1.15 x 1.15 multiplication is truncated to        
- * 2.30 format. These intermediate results are accumulated in a 32-bit register in 2.30        
- * format. Finally, the accumulator is saturated and converted to a 1.15 result.        
- *        
- * \par        
- * The fast version has the same overflow behavior as the standard version but provides        
- * less precision since it discards the low 16 bits of each multiplication result.        
- * In order to avoid overflows completely the input signals must be scaled down.        
- * Scale down one of the input matrices by log2(numColsA) bits to        
- * avoid overflows, as a total of numColsA additions are computed internally for each        
- * output element.        
- *        
- * \par    
- * See arm_mat_mult_q15() for a slower implementation of this function    
- * which uses 64-bit accumulation to provide higher precision.    
- */
-
-arm_status arm_mat_mult_fast_q15(
-  const arm_matrix_instance_q15 * pSrcA,
-  const arm_matrix_instance_q15 * pSrcB,
-  arm_matrix_instance_q15 * pDst,
-  q15_t * pState)
-{
-  q31_t sum;                                     /* accumulator */
-  q15_t *pSrcBT = pState;                        /* input data matrix pointer for transpose */
-  q15_t *pInA = pSrcA->pData;                    /* input data matrix pointer A of Q15 type */
-  q15_t *pInB = pSrcB->pData;                    /* input data matrix pointer B of Q15 type */
-  q15_t *px;                                     /* Temporary output data matrix pointer */
-  uint16_t numRowsA = pSrcA->numRows;            /* number of rows of input matrix A    */
-  uint16_t numColsB = pSrcB->numCols;            /* number of columns of input matrix B */
-  uint16_t numColsA = pSrcA->numCols;            /* number of columns of input matrix A */
-  uint16_t numRowsB = pSrcB->numRows;            /* number of rows of input matrix A    */
-  uint16_t col, i = 0u, row = numRowsB, colCnt;  /* loop counters */
-  arm_status status;                             /* status of matrix multiplication */
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-  q31_t in;                                      /* Temporary variable to hold the input value */
-  q31_t inA1, inA2, inB1, inB2;
-
-#else
-
-  q15_t in;                                      /* Temporary variable to hold the input value */
-  q15_t inA1, inA2, inB1, inB2;
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-#ifdef ARM_MATH_MATRIX_CHECK
-  /* Check for matrix mismatch condition */
-  if((pSrcA->numCols != pSrcB->numRows) ||
-     (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif
-  {
-    /* Matrix transpose */
-    do
-    {
-      /* Apply loop unrolling and exchange the columns with row elements */
-      col = numColsB >> 2;
-
-      /* The pointer px is set to starting address of the column being processed */
-      px = pSrcBT + i;
-
-      /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.        
-       ** a second loop below computes the remaining 1 to 3 samples. */
-      while(col > 0u)
-      {
-#ifndef UNALIGNED_SUPPORT_DISABLE
-        /* Read two elements from the row */
-        in = *__SIMD32(pInB)++;
-
-        /* Unpack and store one element in the destination */
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        *px = (q15_t) in;
-
-#else
-
-        *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
-
-#endif /*    #ifndef ARM_MATH_BIG_ENDIAN    */
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB;
-
-        /* Unpack and store the second element in the destination */
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
-
-#else
-
-        *px = (q15_t) in;
-
-#endif /*    #ifndef ARM_MATH_BIG_ENDIAN    */
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB;
-
-        /* Read two elements from the row */
-        in = *__SIMD32(pInB)++;
-
-        /* Unpack and store one element in the destination */
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        *px = (q15_t) in;
-
-#else
-
-        *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
-
-#endif /*    #ifndef ARM_MATH_BIG_ENDIAN    */
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB;
-
-        /* Unpack and store the second element in the destination */
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
-
-#else
-
-        *px = (q15_t) in;
-
-#endif /*    #ifndef ARM_MATH_BIG_ENDIAN    */
-
-#else
-
-        /* Read one element from the row */
-        in = *pInB++;
-
-        /* Store one element in the destination */
-        *px = in;
- 
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB;
-
-        /* Read one element from the row */
-        in = *pInB++;
-
-        /* Store one element in the destination */
-        *px = in;
- 
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB;
-
-        /* Read one element from the row */
-        in = *pInB++;
-
-        /* Store one element in the destination */
-        *px = in;
- 
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB;
-
-        /* Read one element from the row */
-        in = *pInB++;
-
-        /* Store one element in the destination */
-        *px = in;
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-        
-		/* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB;
-
-        /* Decrement the column loop counter */
-        col--;
-      }
-
-      /* If the columns of pSrcB is not a multiple of 4, compute any remaining output samples here.        
-       ** No loop unrolling is used. */
-      col = numColsB % 0x4u;
-
-      while(col > 0u)
-      {
-        /* Read and store the input element in the destination */
-        *px = *pInB++;
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB;
-
-        /* Decrement the column loop counter */
-        col--;
-      }
-
-      i++;
-
-      /* Decrement the row loop counter */
-      row--;
-
-    } while(row > 0u);
-
-    /* Reset the variables for the usage in the following multiplication process */
-    row = numRowsA;
-    i = 0u;
-    px = pDst->pData;
-
-    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
-    /* row loop */
-    do
-    {
-      /* For every row wise process, the column loop counter is to be initiated */
-      col = numColsB;
-
-      /* For every row wise process, the pIn2 pointer is set        
-       ** to the starting address of the transposed pSrcB data */
-      pInB = pSrcBT;
-
-      /* column loop */
-      do
-      {
-        /* Set the variable sum, that acts as accumulator, to zero */
-        sum = 0;
-
-        /* Apply loop unrolling and compute 2 MACs simultaneously. */
-        colCnt = numColsA >> 2;
-
-        /* Initiate the pointer pIn1 to point to the starting address of the column being processed */
-        pInA = pSrcA->pData + i;
-
-        /* matrix multiplication */
-        while(colCnt > 0u)
-        {
-          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-          inA1 = *__SIMD32(pInA)++;
-          inB1 = *__SIMD32(pInB)++;
-          inA2 = *__SIMD32(pInA)++;
-          inB2 = *__SIMD32(pInB)++;
-
-          sum = __SMLAD(inA1, inB1, sum);
-          sum = __SMLAD(inA2, inB2, sum);
-
-#else
-
-          inA1 = *pInA++;
-          inB1 = *pInB++;
-          inA2 = *pInA++;
-          sum += inA1 * inB1;
-          inB2 = *pInB++;
-
-          inA1 = *pInA++;
-          inB1 = *pInB++;
-          sum += inA2 * inB2;
-          inA2 = *pInA++;
-          inB2 = *pInB++;
-
-          sum += inA1 * inB1;
-          sum += inA2 * inB2;
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-          /* Decrement the loop counter */
-          colCnt--;
-        }
-
-        /* process odd column samples */
-        colCnt = numColsA % 0x4u;
-
-        while(colCnt > 0u)
-        {
-          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
-          sum += (q31_t) (*pInA++) * (*pInB++);
-
-          colCnt--;
-        }
-
-        /* Saturate and store the result in the destination buffer */
-        *px = (q15_t) (sum >> 15);
-        px++;
-
-        /* Decrement the column loop counter */
-        col--;
-
-      } while(col > 0u);
-
-      i = i + numColsA;
-
-      /* Decrement the row loop counter */
-      row--;
-
-    } while(row > 0u);
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-}
-
-/**        
- * @} end of MatrixMult group        
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_fast_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_fast_q31.c
deleted file mode 100644
index 7fdbb1cb8..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_fast_q31.c
+++ /dev/null
@@ -1,218 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_mat_mult_fast_q31.c    
-*    
-* Description:	 Q31 matrix multiplication (fast variant).    
-*    
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupMatrix    
- */
-
-/**    
- * @addtogroup MatrixMult    
- * @{    
- */
-
-/**    
- * @brief Q31 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4    
- * @param[in]       *pSrcA points to the first input matrix structure    
- * @param[in]       *pSrcB points to the second input matrix structure    
- * @param[out]      *pDst points to output matrix structure    
- * @return     		The function returns either    
- * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * The difference between the function arm_mat_mult_q31() and this fast variant is that    
- * the fast variant use a 32-bit rather than a 64-bit accumulator.    
- * The result of each 1.31 x 1.31 multiplication is truncated to    
- * 2.30 format. These intermediate results are accumulated in a 32-bit register in 2.30    
- * format. Finally, the accumulator is saturated and converted to a 1.31 result.    
- *    
- * \par    
- * The fast version has the same overflow behavior as the standard version but provides    
- * less precision since it discards the low 32 bits of each multiplication result.    
- * In order to avoid overflows completely the input signals must be scaled down.    
- * Scale down one of the input matrices by log2(numColsA) bits to    
- * avoid overflows, as a total of numColsA additions are computed internally for each    
- * output element.    
- *    
- * \par    
- * See arm_mat_mult_q31() for a slower implementation of this function    
- * which uses 64-bit accumulation to provide higher precision.    
- */
-
-arm_status arm_mat_mult_fast_q31(
-  const arm_matrix_instance_q31 * pSrcA,
-  const arm_matrix_instance_q31 * pSrcB,
-  arm_matrix_instance_q31 * pDst)
-{
-  q31_t *pIn1 = pSrcA->pData;                    /* input data matrix pointer A */
-  q31_t *pIn2 = pSrcB->pData;                    /* input data matrix pointer B */
-  q31_t *pInA = pSrcA->pData;                    /* input data matrix pointer A */
-//  q31_t *pSrcB = pSrcB->pData;                    /* input data matrix pointer B */    
-  q31_t *pOut = pDst->pData;                     /* output data matrix pointer */
-  q31_t *px;                                     /* Temporary output data matrix pointer */
-  q31_t sum;                                     /* Accumulator */
-  uint16_t numRowsA = pSrcA->numRows;            /* number of rows of input matrix A    */
-  uint16_t numColsB = pSrcB->numCols;            /* number of columns of input matrix B */
-  uint16_t numColsA = pSrcA->numCols;            /* number of columns of input matrix A */
-  uint16_t col, i = 0u, j, row = numRowsA, colCnt;      /* loop counters */
-  arm_status status;                             /* status of matrix multiplication */
-  q31_t inA1, inA2, inA3, inA4, inB1, inB2, inB3, inB4;
-
-#ifdef ARM_MATH_MATRIX_CHECK
-
-
-  /* Check for matrix mismatch condition */
-  if((pSrcA->numCols != pSrcB->numRows) ||
-     (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*      #ifdef ARM_MATH_MATRIX_CHECK    */
-
-  {
-    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
-    /* row loop */
-    do
-    {
-      /* Output pointer is set to starting address of the row being processed */
-      px = pOut + i;
-
-      /* For every row wise process, the column loop counter is to be initiated */
-      col = numColsB;
-
-      /* For every row wise process, the pIn2 pointer is set    
-       ** to the starting address of the pSrcB data */
-      pIn2 = pSrcB->pData;
-
-      j = 0u;
-
-      /* column loop */
-      do
-      {
-        /* Set the variable sum, that acts as accumulator, to zero */
-        sum = 0;
-
-        /* Initiate the pointer pIn1 to point to the starting address of pInA */
-        pIn1 = pInA;
-
-        /* Apply loop unrolling and compute 4 MACs simultaneously. */
-        colCnt = numColsA >> 2;
-
-
-        /* matrix multiplication */
-        while(colCnt > 0u)
-        {
-          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
-          /* Perform the multiply-accumulates */
-          inB1 = *pIn2;
-          pIn2 += numColsB;
-
-          inA1 = pIn1[0];
-          inA2 = pIn1[1];
-
-          inB2 = *pIn2;
-          pIn2 += numColsB;
-
-          inB3 = *pIn2;
-          pIn2 += numColsB;
-
-          sum = (q31_t) ((((q63_t) sum << 32) + ((q63_t) inA1 * inB1)) >> 32);
-          sum = (q31_t) ((((q63_t) sum << 32) + ((q63_t) inA2 * inB2)) >> 32);
-
-          inA3 = pIn1[2];
-          inA4 = pIn1[3];
-
-          inB4 = *pIn2;
-          pIn2 += numColsB;
-
-          sum = (q31_t) ((((q63_t) sum << 32) + ((q63_t) inA3 * inB3)) >> 32);
-          sum = (q31_t) ((((q63_t) sum << 32) + ((q63_t) inA4 * inB4)) >> 32);
-
-          pIn1 += 4u;
-
-          /* Decrement the loop counter */
-          colCnt--;
-        }
-
-        /* If the columns of pSrcA is not a multiple of 4, compute any remaining output samples here.    
-         ** No loop unrolling is used. */
-        colCnt = numColsA % 0x4u;
-
-        while(colCnt > 0u)
-        {
-          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
-          /* Perform the multiply-accumulates */
-          sum = (q31_t) ((((q63_t) sum << 32) +
-                          ((q63_t) * pIn1++ * (*pIn2))) >> 32);
-          pIn2 += numColsB;
-
-          /* Decrement the loop counter */
-          colCnt--;
-        }
-
-        /* Convert the result from 2.30 to 1.31 format and store in destination buffer */
-        *px++ = sum << 1;
-
-        /* Update the pointer pIn2 to point to the  starting address of the next column */
-        j++;
-        pIn2 = pSrcB->pData + j;
-
-        /* Decrement the column loop counter */
-        col--;
-
-      } while(col > 0u);
-
-      /* Update the pointer pInA to point to the  starting address of the next row */
-      i = i + numColsB;
-      pInA = pInA + numColsA;
-
-      /* Decrement the row loop counter */
-      row--;
-
-    } while(row > 0u);
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-  /* Return to application */
-  return (status);
-}
-
-/**    
- * @} end of MatrixMult group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_q15.c
deleted file mode 100644
index b48d204ed..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_q15.c
+++ /dev/null
@@ -1,467 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_mat_mult_q15.c    
-*    
-* Description:	 Q15 matrix multiplication.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.5  2010/04/26     
-*    incorporated review comments and updated with latest CMSIS layer    
-*    
-* Version 0.0.3  2010/03/10     
-*    Initial version    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupMatrix    
- */
-
-/**    
- * @addtogroup MatrixMult    
- * @{    
- */
-
-
-/**    
- * @brief Q15 matrix multiplication    
- * @param[in]       *pSrcA points to the first input matrix structure    
- * @param[in]       *pSrcB points to the second input matrix structure    
- * @param[out]      *pDst points to output matrix structure    
- * @param[in]		*pState points to the array for storing intermediate results   
- * @return     		The function returns either    
- * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * The function is implemented using a 64-bit internal accumulator. The inputs to the    
- * multiplications are in 1.15 format and multiplications yield a 2.30 result.    
- * The 2.30 intermediate    
- * results are accumulated in a 64-bit accumulator in 34.30 format. This approach    
- * provides 33 guard bits and there is no risk of overflow. The 34.30 result is then    
- * truncated to 34.15 format by discarding the low 15 bits and then saturated to    
- * 1.15 format.    
- *    
- * \par    
- * Refer to arm_mat_mult_fast_q15() for a faster but less precise version of this function for Cortex-M3 and Cortex-M4.    
- *    
- */
-
-arm_status arm_mat_mult_q15(
-  const arm_matrix_instance_q15 * pSrcA,
-  const arm_matrix_instance_q15 * pSrcB,
-  arm_matrix_instance_q15 * pDst,
-  q15_t * pState)
-{
-  q63_t sum;                                     /* accumulator */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q15_t *pSrcBT = pState;                        /* input data matrix pointer for transpose */
-  q15_t *pInA = pSrcA->pData;                    /* input data matrix pointer A of Q15 type */
-  q15_t *pInB = pSrcB->pData;                    /* input data matrix pointer B of Q15 type */
-  q15_t *px;                                     /* Temporary output data matrix pointer */
-  uint16_t numRowsA = pSrcA->numRows;            /* number of rows of input matrix A    */
-  uint16_t numColsB = pSrcB->numCols;            /* number of columns of input matrix B */
-  uint16_t numColsA = pSrcA->numCols;            /* number of columns of input matrix A */
-  uint16_t numRowsB = pSrcB->numRows;            /* number of rows of input matrix A    */
-  uint16_t col, i = 0u, row = numRowsB, colCnt;  /* loop counters */
-  arm_status status;                             /* status of matrix multiplication */
-
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-  q31_t in;                                      /* Temporary variable to hold the input value */
-  q31_t pSourceA1, pSourceB1, pSourceA2, pSourceB2;
-
-#else
-
-  q15_t in;                                      /* Temporary variable to hold the input value */
-  q15_t inA1, inB1, inA2, inB2;
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-#ifdef ARM_MATH_MATRIX_CHECK
-  /* Check for matrix mismatch condition */
-  if((pSrcA->numCols != pSrcB->numRows) ||
-     (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
-  {
-    /* Matrix transpose */
-    do
-    {
-      /* Apply loop unrolling and exchange the columns with row elements */
-      col = numColsB >> 2;
-
-      /* The pointer px is set to starting address of the column being processed */
-      px = pSrcBT + i;
-
-      /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.        
-       ** a second loop below computes the remaining 1 to 3 samples. */
-      while(col > 0u)
-      {
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-        /* Read two elements from the row */
-        in = *__SIMD32(pInB)++;
-
-        /* Unpack and store one element in the destination */
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        *px = (q15_t) in;
-
-#else
-
-        *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
-
-#endif /*    #ifndef ARM_MATH_BIG_ENDIAN    */
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB;
-
-        /* Unpack and store the second element in the destination */
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
-
-#else
-
-        *px = (q15_t) in;
-
-#endif /*    #ifndef ARM_MATH_BIG_ENDIAN    */
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB;
-
-        /* Read two elements from the row */
-        in = *__SIMD32(pInB)++;
-
-        /* Unpack and store one element in the destination */
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        *px = (q15_t) in;
-
-#else
-
-        *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
-
-#endif /*    #ifndef ARM_MATH_BIG_ENDIAN    */
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB;
-
-        /* Unpack and store the second element in the destination */
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
-
-#else
-
-        *px = (q15_t) in;
-
-#endif /*    #ifndef ARM_MATH_BIG_ENDIAN    */
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB;
-
-#else
-
-        /* Read one element from the row */
-        in = *pInB++;
-
-        /* Store one element in the destination */
-        *px = in;
- 
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB;
-
-        /* Read one element from the row */
-        in = *pInB++;
-
-        /* Store one element in the destination */
-        *px = in;
- 
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB;
-
-        /* Read one element from the row */
-        in = *pInB++;
-
-        /* Store one element in the destination */
-        *px = in;
- 
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB;
-
-        /* Read one element from the row */
-        in = *pInB++;
-
-        /* Store one element in the destination */
-        *px = in;
- 
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB;
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-       /* Decrement the column loop counter */
-        col--;
-      }
-
-      /* If the columns of pSrcB is not a multiple of 4, compute any remaining output samples here.        
-       ** No loop unrolling is used. */
-      col = numColsB % 0x4u;
-
-      while(col > 0u)
-      {
-        /* Read and store the input element in the destination */
-        *px = *pInB++;
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += numRowsB;
-
-        /* Decrement the column loop counter */
-        col--;
-      }
-
-      i++;
-
-      /* Decrement the row loop counter */
-      row--;
-
-    } while(row > 0u);
-
-    /* Reset the variables for the usage in the following multiplication process */
-    row = numRowsA;
-    i = 0u;
-    px = pDst->pData;
-
-    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
-    /* row loop */
-    do
-    {
-      /* For every row wise process, the column loop counter is to be initiated */
-      col = numColsB;
-
-      /* For every row wise process, the pIn2 pointer is set        
-       ** to the starting address of the transposed pSrcB data */
-      pInB = pSrcBT;
-
-      /* column loop */
-      do
-      {
-        /* Set the variable sum, that acts as accumulator, to zero */
-        sum = 0;
-
-        /* Apply loop unrolling and compute 2 MACs simultaneously. */
-        colCnt = numColsA >> 2;
-
-        /* Initiate the pointer pIn1 to point to the starting address of the column being processed */
-        pInA = pSrcA->pData + i;
-
-
-        /* matrix multiplication */
-        while(colCnt > 0u)
-        {
-          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-          /* read real and imag values from pSrcA and pSrcB buffer */
-          pSourceA1 = *__SIMD32(pInA)++;
-          pSourceB1 = *__SIMD32(pInB)++;
-
-          pSourceA2 = *__SIMD32(pInA)++;
-          pSourceB2 = *__SIMD32(pInB)++;
-
-          /* Multiply and Accumlates */
-          sum = __SMLALD(pSourceA1, pSourceB1, sum);
-          sum = __SMLALD(pSourceA2, pSourceB2, sum);
-
-#else
-          /* read real and imag values from pSrcA and pSrcB buffer */
-          inA1 = *pInA++;
-          inB1 = *pInB++;
-          inA2 = *pInA++;
-          /* Multiply and Accumlates */
-          sum += inA1 * inB1;
-          inB2 = *pInB++;
-
-          inA1 = *pInA++;
-          inB1 = *pInB++;
-          /* Multiply and Accumlates */
-          sum += inA2 * inB2;
-          inA2 = *pInA++;
-          inB2 = *pInB++;
-
-          /* Multiply and Accumlates */
-          sum += inA1 * inB1;
-          sum += inA2 * inB2;
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-          /* Decrement the loop counter */
-          colCnt--;
-        }
-
-        /* process remaining column samples */
-        colCnt = numColsA & 3u;
-
-        while(colCnt > 0u)
-        {
-          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
-          sum += *pInA++ * *pInB++;
-
-          /* Decrement the loop counter */
-          colCnt--;
-        }
-
-        /* Saturate and store the result in the destination buffer */
-        *px = (q15_t) (__SSAT((sum >> 15), 16));
-        px++;
-
-        /* Decrement the column loop counter */
-        col--;
-
-      } while(col > 0u);
-
-      i = i + numColsA;
-
-      /* Decrement the row loop counter */
-      row--;
-
-    } while(row > 0u);
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  q15_t *pIn1 = pSrcA->pData;                    /* input data matrix pointer A */
-  q15_t *pIn2 = pSrcB->pData;                    /* input data matrix pointer B */
-  q15_t *pInA = pSrcA->pData;                    /* input data matrix pointer A of Q15 type */
-  q15_t *pInB = pSrcB->pData;                    /* input data matrix pointer B of Q15 type */
-  q15_t *pOut = pDst->pData;                     /* output data matrix pointer */
-  q15_t *px;                                     /* Temporary output data matrix pointer */
-  uint16_t numColsB = pSrcB->numCols;            /* number of columns of input matrix B */
-  uint16_t numColsA = pSrcA->numCols;            /* number of columns of input matrix A */
-  uint16_t numRowsA = pSrcA->numRows;            /* number of rows of input matrix A    */
-  uint16_t col, i = 0u, row = numRowsA, colCnt;  /* loop counters */
-  arm_status status;                             /* status of matrix multiplication */
-
-#ifdef ARM_MATH_MATRIX_CHECK
-
-  /* Check for matrix mismatch condition */
-  if((pSrcA->numCols != pSrcB->numRows) ||
-     (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
-
-  {
-    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
-    /* row loop */
-    do
-    {
-      /* Output pointer is set to starting address of the row being processed */
-      px = pOut + i;
-
-      /* For every row wise process, the column loop counter is to be initiated */
-      col = numColsB;
-
-      /* For every row wise process, the pIn2 pointer is set          
-       ** to the starting address of the pSrcB data */
-      pIn2 = pSrcB->pData;
-
-      /* column loop */
-      do
-      {
-        /* Set the variable sum, that acts as accumulator, to zero */
-        sum = 0;
-
-        /* Initiate the pointer pIn1 to point to the starting address of pSrcA */
-        pIn1 = pInA;
-
-        /* Matrix A columns number of MAC operations are to be performed */
-        colCnt = numColsA;
-
-        /* matrix multiplication */
-        while(colCnt > 0u)
-        {
-          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
-          /* Perform the multiply-accumulates */
-          sum += (q31_t) * pIn1++ * *pIn2;
-          pIn2 += numColsB;
-
-          /* Decrement the loop counter */
-          colCnt--;
-        }
-
-        /* Convert the result from 34.30 to 1.15 format and store the saturated value in destination buffer */
-        /* Saturate and store the result in the destination buffer */
-        *px++ = (q15_t) __SSAT((sum >> 15), 16);
-
-        /* Decrement the column loop counter */
-        col--;
-
-        /* Update the pointer pIn2 to point to the  starting address of the next column */
-        pIn2 = pInB + (numColsB - col);
-
-      } while(col > 0u);
-
-      /* Update the pointer pSrcA to point to the  starting address of the next row */
-      i = i + numColsB;
-      pInA = pInA + numColsA;
-
-      /* Decrement the row loop counter */
-      row--;
-
-    } while(row > 0u);
-
-#endif /* #ifndef ARM_MATH_CM0 */
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-}
-
-/**        
- * @} end of MatrixMult group        
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_q31.c
deleted file mode 100644
index eb7652204..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_q31.c
+++ /dev/null
@@ -1,292 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_mat_mult_q31.c    
-*    
-* Description:	 Q31 matrix multiplication.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.5  2010/04/26     
-*    incorporated review comments and updated with latest CMSIS layer    
-*    
-* Version 0.0.3  2010/03/10     
-*    Initial version    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupMatrix    
- */
-
-/**    
- * @addtogroup MatrixMult    
- * @{    
- */
-
-/**    
- * @brief Q31 matrix multiplication    
- * @param[in]       *pSrcA points to the first input matrix structure    
- * @param[in]       *pSrcB points to the second input matrix structure    
- * @param[out]      *pDst points to output matrix structure    
- * @return     		The function returns either    
- * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * The function is implemented using an internal 64-bit accumulator.    
- * The accumulator has a 2.62 format and maintains full precision of the intermediate    
- * multiplication results but provides only a single guard bit. There is no saturation    
- * on intermediate additions. Thus, if the accumulator overflows it wraps around and    
- * distorts the result. The input signals should be scaled down to avoid intermediate    
- * overflows. The input is thus scaled down by log2(numColsA) bits    
- * to avoid overflows, as a total of numColsA additions are performed internally.    
- * The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result.    
- *    
- * \par    
- * See arm_mat_mult_fast_q31() for a faster but less precise implementation of this function for Cortex-M3 and Cortex-M4.    
- *    
- */
-
-arm_status arm_mat_mult_q31(
-  const arm_matrix_instance_q31 * pSrcA,
-  const arm_matrix_instance_q31 * pSrcB,
-  arm_matrix_instance_q31 * pDst)
-{
-  q31_t *pIn1 = pSrcA->pData;                    /* input data matrix pointer A */
-  q31_t *pIn2 = pSrcB->pData;                    /* input data matrix pointer B */
-  q31_t *pInA = pSrcA->pData;                    /* input data matrix pointer A */
-  q31_t *pOut = pDst->pData;                     /* output data matrix pointer */
-  q31_t *px;                                     /* Temporary output data matrix pointer */
-  q63_t sum;                                     /* Accumulator */
-  uint16_t numRowsA = pSrcA->numRows;            /* number of rows of input matrix A    */
-  uint16_t numColsB = pSrcB->numCols;            /* number of columns of input matrix B */
-  uint16_t numColsA = pSrcA->numCols;            /* number of columns of input matrix A */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  uint16_t col, i = 0u, j, row = numRowsA, colCnt;      /* loop counters */
-  arm_status status;                             /* status of matrix multiplication */
-  q31_t a0, a1, a2, a3, b0, b1, b2, b3;
-
-#ifdef ARM_MATH_MATRIX_CHECK
-
-
-  /* Check for matrix mismatch condition */
-  if((pSrcA->numCols != pSrcB->numRows) ||
-     (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
-
-  {
-    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
-    /* row loop */
-    do
-    {
-      /* Output pointer is set to starting address of the row being processed */
-      px = pOut + i;
-
-      /* For every row wise process, the column loop counter is to be initiated */
-      col = numColsB;
-
-      /* For every row wise process, the pIn2 pointer is set    
-       ** to the starting address of the pSrcB data */
-      pIn2 = pSrcB->pData;
-
-      j = 0u;
-
-      /* column loop */
-      do
-      {
-        /* Set the variable sum, that acts as accumulator, to zero */
-        sum = 0;
-
-        /* Initiate the pointer pIn1 to point to the starting address of pInA */
-        pIn1 = pInA;
-
-        /* Apply loop unrolling and compute 4 MACs simultaneously. */
-        colCnt = numColsA >> 2;
-
-
-        /* matrix multiplication */
-        while(colCnt > 0u)
-        {
-          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
-          /* Perform the multiply-accumulates */
-          b0 = *pIn2;
-          pIn2 += numColsB;
-
-          a0 = *pIn1++;
-          a1 = *pIn1++;
-
-          b1 = *pIn2;
-          pIn2 += numColsB;
-          b2 = *pIn2;
-          pIn2 += numColsB;
-
-          sum += (q63_t) a0 *b0;
-          sum += (q63_t) a1 *b1;
-
-          a2 = *pIn1++;
-          a3 = *pIn1++;
-
-          b3 = *pIn2;
-          pIn2 += numColsB;
-
-          sum += (q63_t) a2 *b2;
-          sum += (q63_t) a3 *b3;
-
-          /* Decrement the loop counter */
-          colCnt--;
-        }
-
-        /* If the columns of pSrcA is not a multiple of 4, compute any remaining output samples here.    
-         ** No loop unrolling is used. */
-        colCnt = numColsA % 0x4u;
-
-        while(colCnt > 0u)
-        {
-          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
-          /* Perform the multiply-accumulates */
-          sum += (q63_t) * pIn1++ * *pIn2;
-          pIn2 += numColsB;
-
-          /* Decrement the loop counter */
-          colCnt--;
-        }
-
-        /* Convert the result from 2.62 to 1.31 format and store in destination buffer */
-        *px++ = (q31_t) (sum >> 31);
-
-        /* Update the pointer pIn2 to point to the  starting address of the next column */
-        j++;
-        pIn2 = (pSrcB->pData) + j;
-
-        /* Decrement the column loop counter */
-        col--;
-
-      } while(col > 0u);
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  q31_t *pInB = pSrcB->pData;                    /* input data matrix pointer B */
-  uint16_t col, i = 0u, row = numRowsA, colCnt;  /* loop counters */
-  arm_status status;                             /* status of matrix multiplication */
-
-
-#ifdef ARM_MATH_MATRIX_CHECK
-
-  /* Check for matrix mismatch condition */
-  if((pSrcA->numCols != pSrcB->numRows) ||
-     (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
-
-  {
-    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
-    /* row loop */
-    do
-    {
-      /* Output pointer is set to starting address of the row being processed */
-      px = pOut + i;
-
-      /* For every row wise process, the column loop counter is to be initiated */
-      col = numColsB;
-
-      /* For every row wise process, the pIn2 pointer is set          
-       ** to the starting address of the pSrcB data */
-      pIn2 = pSrcB->pData;
-
-      /* column loop */
-      do
-      {
-        /* Set the variable sum, that acts as accumulator, to zero */
-        sum = 0;
-
-        /* Initiate the pointer pIn1 to point to the starting address of pInA */
-        pIn1 = pInA;
-
-        /* Matrix A columns number of MAC operations are to be performed */
-        colCnt = numColsA;
-
-        /* matrix multiplication */
-        while(colCnt > 0u)
-        {
-          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
-          /* Perform the multiply-accumulates */
-          sum += (q63_t) * pIn1++ * *pIn2;
-          pIn2 += numColsB;
-
-          /* Decrement the loop counter */
-          colCnt--;
-        }
-
-        /* Convert the result from 2.62 to 1.31 format and store in destination buffer */
-        *px++ = (q31_t) (sum >> 31);
-
-        /* Decrement the column loop counter */
-        col--;
-
-        /* Update the pointer pIn2 to point to the  starting address of the next column */
-        pIn2 = pInB + (numColsB - col);
-
-      } while(col > 0u);
-
-#endif
-
-      /* Update the pointer pInA to point to the  starting address of the next row */
-      i = i + numColsB;
-      pInA = pInA + numColsA;
-
-      /* Decrement the row loop counter */
-      row--;
-
-    } while(row > 0u);
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-  /* Return to application */
-  return (status);
-}
-
-/**    
- * @} end of MatrixMult group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_scale_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_scale_f32.c
deleted file mode 100644
index e64cfd1d1..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_scale_f32.c
+++ /dev/null
@@ -1,179 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:        arm_mat_scale_f32.c    
-*    
-* Description:	Multiplies a floating-point matrix by a scalar.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.5  2010/04/26     
-*    incorporated review comments and updated with latest CMSIS layer    
-*    
-* Version 0.0.3  2010/03/10     
-*    Initial version    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**        
- * @ingroup groupMatrix        
- */
-
-/**        
- * @defgroup MatrixScale Matrix Scale        
- *        
- * Multiplies a matrix by a scalar.  This is accomplished by multiplying each element in the        
- * matrix by the scalar.  For example:        
- * \image html MatrixScale.gif "Matrix Scaling of a 3 x 3 matrix"        
- *        
- * The function checks to make sure that the input and output matrices are of the same size.        
- *        
- * In the fixed-point Q15 and Q31 functions, scale is represented by        
- * a fractional multiplication scaleFract and an arithmetic shift shift.        
- * The shift allows the gain of the scaling operation to exceed 1.0.        
- * The overall scale factor applied to the fixed-point data is        
- * 
        
- *     scale = scaleFract * 2^shift.        
- * 
        
- */
-
-/**        
- * @addtogroup MatrixScale        
- * @{        
- */
-
-/**        
- * @brief Floating-point matrix scaling.        
- * @param[in]       *pSrc points to input matrix structure        
- * @param[in]       scale scale factor to be applied         
- * @param[out]      *pDst points to output matrix structure        
- * @return     		The function returns either ARM_MATH_SIZE_MISMATCH         
- * or ARM_MATH_SUCCESS based on the outcome of size checking.        
- *        
- */
-
-arm_status arm_mat_scale_f32(
-  const arm_matrix_instance_f32 * pSrc,
-  float32_t scale,
-  arm_matrix_instance_f32 * pDst)
-{
-  float32_t *pIn = pSrc->pData;                  /* input data matrix pointer */
-  float32_t *pOut = pDst->pData;                 /* output data matrix pointer */
-  uint32_t numSamples;                           /* total number of elements in the matrix */
-  uint32_t blkCnt;                               /* loop counters */
-  arm_status status;                             /* status of matrix scaling     */
-
-#ifndef ARM_MATH_CM0
-
-  float32_t in1, in2, in3, in4;                  /* temporary variables */
-  float32_t out1, out2, out3, out4;              /* temporary variables */
-
-#endif //      #ifndef ARM_MATH_CM0
-
-#ifdef ARM_MATH_MATRIX_CHECK
-  /* Check for matrix mismatch condition */
-  if((pSrc->numRows != pDst->numRows) || (pSrc->numCols != pDst->numCols))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
-  {
-    /* Total number of samples in the input matrix */
-    numSamples = (uint32_t) pSrc->numRows * pSrc->numCols;
-
-#ifndef ARM_MATH_CM0
-
-    /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-    /* Loop Unrolling */
-    blkCnt = numSamples >> 2;
-
-    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-     ** a second loop below computes the remaining 1 to 3 samples. */
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) * scale */
-      /* Scaling and results are stored in the destination buffer. */
-      in1 = pIn[0];
-      in2 = pIn[1];
-      in3 = pIn[2];
-      in4 = pIn[3];
-
-      out1 = in1 * scale;
-      out2 = in2 * scale;
-      out3 = in3 * scale;
-      out4 = in4 * scale;
-
-
-      pOut[0] = out1;
-      pOut[1] = out2;
-      pOut[2] = out3;
-      pOut[3] = out4;
-
-      /* update pointers to process next sampels */
-      pIn += 4u;
-      pOut += 4u;
-
-      /* Decrement the numSamples loop counter */
-      blkCnt--;
-    }
-
-    /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
-     ** No loop unrolling is used. */
-    blkCnt = numSamples % 0x4u;
-
-#else
-
-    /* Run the below code for Cortex-M0 */
-
-    /* Initialize blkCnt with number of samples */
-    blkCnt = numSamples;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) * scale */
-      /* The results are stored in the destination buffer. */
-      *pOut++ = (*pIn++) * scale;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* Set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-}
-
-/**        
- * @} end of MatrixScale group        
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_scale_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_scale_q15.c
deleted file mode 100644
index 58011254c..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_scale_q15.c
+++ /dev/null
@@ -1,181 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_mat_scale_q15.c    
-*    
-* Description:	Multiplies a Q15 matrix by a scalar.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.5  2010/04/26     
-*    incorporated review comments and updated with latest CMSIS layer    
-*    
-* Version 0.0.3  2010/03/10     
-*    Initial version    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupMatrix    
- */
-
-/**    
- * @addtogroup MatrixScale    
- * @{    
- */
-
-/**    
- * @brief Q15 matrix scaling.    
- * @param[in]       *pSrc points to input matrix    
- * @param[in]       scaleFract fractional portion of the scale factor    
- * @param[in]       shift number of bits to shift the result by    
- * @param[out]      *pDst points to output matrix structure    
- * @return     		The function returns either    
- * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- * \par    
- * The input data *pSrc and scaleFract are in 1.15 format.    
- * These are multiplied to yield a 2.30 intermediate result and this is shifted with saturation to 1.15 format.    
- */
-
-arm_status arm_mat_scale_q15(
-  const arm_matrix_instance_q15 * pSrc,
-  q15_t scaleFract,
-  int32_t shift,
-  arm_matrix_instance_q15 * pDst)
-{
-  q15_t *pIn = pSrc->pData;                      /* input data matrix pointer */
-  q15_t *pOut = pDst->pData;                     /* output data matrix pointer */
-  uint32_t numSamples;                           /* total number of elements in the matrix */
-  int32_t totShift = 15 - shift;                 /* total shift to apply after scaling */
-  uint32_t blkCnt;                               /* loop counters */
-  arm_status status;                             /* status of matrix scaling     */
-
-#ifndef ARM_MATH_CM0
-
-  q15_t in1, in2, in3, in4;
-  q31_t out1, out2, out3, out4;
-  q31_t inA1, inA2;
-
-#endif //     #ifndef ARM_MATH_CM0
-
-#ifdef ARM_MATH_MATRIX_CHECK
-  /* Check for matrix mismatch */
-  if((pSrc->numRows != pDst->numRows) || (pSrc->numCols != pDst->numCols))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif //    #ifdef ARM_MATH_MATRIX_CHECK
-  {
-    /* Total number of samples in the input matrix */
-    numSamples = (uint32_t) pSrc->numRows * pSrc->numCols;
-
-#ifndef ARM_MATH_CM0
-
-    /* Run the below code for Cortex-M4 and Cortex-M3 */
-    /* Loop Unrolling */
-    blkCnt = numSamples >> 2;
-
-    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-     ** a second loop below computes the remaining 1 to 3 samples. */
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) * k */
-      /* Scale, saturate and then store the results in the destination buffer. */
-      /* Reading 2 inputs from memory */
-      inA1 = _SIMD32_OFFSET(pIn);
-      inA2 = _SIMD32_OFFSET(pIn + 2);
-
-      /* C = A * scale */
-      /* Scale the inputs and then store the 2 results in the destination buffer        
-       * in single cycle by packing the outputs */
-      out1 = (q31_t) ((q15_t) (inA1 >> 16) * scaleFract);
-      out2 = (q31_t) ((q15_t) inA1 * scaleFract);
-      out3 = (q31_t) ((q15_t) (inA2 >> 16) * scaleFract);
-      out4 = (q31_t) ((q15_t) inA2 * scaleFract);
-
-      out1 = out1 >> totShift;
-      inA1 = _SIMD32_OFFSET(pIn + 4);
-      out2 = out2 >> totShift;
-      inA2 = _SIMD32_OFFSET(pIn + 6);
-      out3 = out3 >> totShift;
-      out4 = out4 >> totShift;
-
-      in1 = (q15_t) (__SSAT(out1, 16));
-      in2 = (q15_t) (__SSAT(out2, 16));
-      in3 = (q15_t) (__SSAT(out3, 16));
-      in4 = (q15_t) (__SSAT(out4, 16));
-
-      _SIMD32_OFFSET(pOut) = __PKHBT(in2, in1, 16);
-      _SIMD32_OFFSET(pOut + 2) = __PKHBT(in4, in3, 16);
-
-      /* update pointers to process next sampels */
-      pIn += 4u;
-      pOut += 4u;
-
-
-      /* Decrement the numSamples loop counter */
-      blkCnt--;
-    }
-
-    /* If the numSamples is not a multiple of 4, compute any remaining output samples here.        
-     ** No loop unrolling is used. */
-    blkCnt = numSamples % 0x4u;
-
-#else
-
-    /* Run the below code for Cortex-M0 */
-
-    /* Initialize blkCnt with number of samples */
-    blkCnt = numSamples;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) * k */
-      /* Scale, saturate and then store the results in the destination buffer. */
-      *pOut++ =
-        (q15_t) (__SSAT(((q31_t) (*pIn++) * scaleFract) >> totShift, 16));
-
-      /* Decrement the numSamples loop counter */
-      blkCnt--;
-    }
-    /* Set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-}
-
-/**        
- * @} end of MatrixScale group        
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_scale_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_scale_q31.c
deleted file mode 100644
index e5e124125..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_scale_q31.c
+++ /dev/null
@@ -1,201 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_mat_scale_q31.c    
-*    
-* Description:	Multiplies a Q31 matrix by a scalar.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.5  2010/04/26     
-*    incorporated review comments and updated with latest CMSIS layer    
-*    
-* Version 0.0.3  2010/03/10     
-*    Initial version    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**        
- * @ingroup groupMatrix        
- */
-
-/**        
- * @addtogroup MatrixScale        
- * @{        
- */
-
-/**        
- * @brief Q31 matrix scaling.        
- * @param[in]       *pSrc points to input matrix        
- * @param[in]       scaleFract fractional portion of the scale factor        
- * @param[in]       shift number of bits to shift the result by        
- * @param[out]      *pDst points to output matrix structure        
- * @return     		The function returns either        
- * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.        
- *        
- * @details        
- * Scaling and Overflow Behavior:        
- * \par        
- * The input data *pSrc and scaleFract are in 1.31 format.        
- * These are multiplied to yield a 2.62 intermediate result and this is shifted with saturation to 1.31 format.        
- */
-
-arm_status arm_mat_scale_q31(
-  const arm_matrix_instance_q31 * pSrc,
-  q31_t scaleFract,
-  int32_t shift,
-  arm_matrix_instance_q31 * pDst)
-{
-  q31_t *pIn = pSrc->pData;                      /* input data matrix pointer */
-  q31_t *pOut = pDst->pData;                     /* output data matrix pointer */
-  uint32_t numSamples;                           /* total number of elements in the matrix */
-  int32_t totShift = shift + 1;                  /* shift to apply after scaling */
-  uint32_t blkCnt;                               /* loop counters  */
-  arm_status status;                             /* status of matrix scaling      */
-  q31_t in1, in2, out1;                          /* temporary variabels */
-
-#ifndef ARM_MATH_CM0
-
-  q31_t in3, in4, out2, out3, out4;              /* temporary variables */
-
-#endif //      #ifndef ARM_MAT_CM0
-
-#ifdef ARM_MATH_MATRIX_CHECK
-  /* Check for matrix mismatch  */
-  if((pSrc->numRows != pDst->numRows) || (pSrc->numCols != pDst->numCols))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif //    #ifdef ARM_MATH_MATRIX_CHECK
-  {
-    /* Total number of samples in the input matrix */
-    numSamples = (uint32_t) pSrc->numRows * pSrc->numCols;
-
-#ifndef ARM_MATH_CM0
-
-    /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-    /* Loop Unrolling */
-    blkCnt = numSamples >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-     ** a second loop below computes the remaining 1 to 3 samples. */
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) * k */
-      /* Read values from input */
-      in1 = *pIn;
-      in2 = *(pIn + 1);
-      in3 = *(pIn + 2);
-      in4 = *(pIn + 3);
-
-      /* multiply input with scaler value */
-      in1 = ((q63_t) in1 * scaleFract) >> 32;
-      in2 = ((q63_t) in2 * scaleFract) >> 32;
-      in3 = ((q63_t) in3 * scaleFract) >> 32;
-      in4 = ((q63_t) in4 * scaleFract) >> 32;
-
-      /* apply shifting */
-      out1 = in1 << totShift;
-      out2 = in2 << totShift;
-
-      /* saturate the results. */
-      if(in1 != (out1 >> totShift))
-        out1 = 0x7FFFFFFF ^ (in1 >> 31);
-
-      if(in2 != (out2 >> totShift))
-        out2 = 0x7FFFFFFF ^ (in2 >> 31);
-
-      out3 = in3 << totShift;
-      out4 = in4 << totShift;
-
-      *pOut = out1;
-      *(pOut + 1) = out2;
-
-      if(in3 != (out3 >> totShift))
-        out3 = 0x7FFFFFFF ^ (in3 >> 31);
-
-      if(in4 != (out4 >> totShift))
-        out4 = 0x7FFFFFFF ^ (in4 >> 31);
-
-
-      *(pOut + 2) = out3;
-      *(pOut + 3) = out4;
-
-      /* update pointers to process next sampels */
-      pIn += 4u;
-      pOut += 4u;
-
-
-      /* Decrement the numSamples loop counter */
-      blkCnt--;
-    }
-
-    /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
-     ** No loop unrolling is used. */
-    blkCnt = numSamples % 0x4u;
-
-#else
-
-    /* Run the below code for Cortex-M0 */
-
-    /* Initialize blkCnt with number of samples */
-    blkCnt = numSamples;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) * k */
-      /* Scale, saturate and then store the results in the destination buffer. */
-      in1 = *pIn++;
-
-      in2 = ((q63_t) in1 * scaleFract) >> 32;
-
-      out1 = in2 << totShift;
-
-      if(in2 != (out1 >> totShift))
-        out1 = 0x7FFFFFFF ^ (in2 >> 31);
-
-      *pOut++ = out1;
-
-      /* Decrement the numSamples loop counter */
-      blkCnt--;
-    }
-
-    /* Set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-}
-
-/**        
- * @} end of MatrixScale group        
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_sub_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_sub_f32.c
deleted file mode 100644
index 3544d8e82..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_sub_f32.c
+++ /dev/null
@@ -1,207 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_mat_sub_f32.c    
-*    
-* Description:	Floating-point matrix subtraction.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.5  2010/04/26     
-*    incorporated review comments and updated with latest CMSIS layer    
-*    
-* Version 0.0.3  2010/03/10     
-*    Initial version    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**        
- * @ingroup groupMatrix        
- */
-
-/**        
- * @defgroup MatrixSub Matrix Subtraction        
- *        
- * Subtract two matrices.        
- * \image html MatrixSubtraction.gif "Subraction of two 3 x 3 matrices"        
- *        
- * The functions check to make sure that        
- * pSrcA, pSrcB, and pDst have the same        
- * number of rows and columns.        
- */
-
-/**        
- * @addtogroup MatrixSub        
- * @{        
- */
-
-/**        
- * @brief Floating-point matrix subtraction        
- * @param[in]       *pSrcA points to the first input matrix structure        
- * @param[in]       *pSrcB points to the second input matrix structure        
- * @param[out]      *pDst points to output matrix structure        
- * @return     		The function returns either        
- * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.        
- */
-
-arm_status arm_mat_sub_f32(
-  const arm_matrix_instance_f32 * pSrcA,
-  const arm_matrix_instance_f32 * pSrcB,
-  arm_matrix_instance_f32 * pDst)
-{
-  float32_t *pIn1 = pSrcA->pData;                /* input data matrix pointer A */
-  float32_t *pIn2 = pSrcB->pData;                /* input data matrix pointer B */
-  float32_t *pOut = pDst->pData;                 /* output data matrix pointer  */
-
-#ifndef ARM_MATH_CM0
-
-  float32_t inA1, inA2, inB1, inB2, out1, out2;  /* temporary variables */
-
-#endif //      #ifndef ARM_MATH_CM0
-
-  uint32_t numSamples;                           /* total number of elements in the matrix  */
-  uint32_t blkCnt;                               /* loop counters */
-  arm_status status;                             /* status of matrix subtraction */
-
-#ifdef ARM_MATH_MATRIX_CHECK
-  /* Check for matrix mismatch condition */
-  if((pSrcA->numRows != pSrcB->numRows) ||
-     (pSrcA->numCols != pSrcB->numCols) ||
-     (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
-  {
-    /* Total number of samples in the input matrix */
-    numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
-
-#ifndef ARM_MATH_CM0
-
-    /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-    /* Loop Unrolling */
-    blkCnt = numSamples >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-     ** a second loop below computes the remaining 1 to 3 samples. */
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) - B(m,n) */
-      /* Subtract and then store the results in the destination buffer. */
-      /* Read values from source A */
-      inA1 = pIn1[0];
-
-      /* Read values from source B */
-      inB1 = pIn2[0];
-
-      /* Read values from source A */
-      inA2 = pIn1[1];
-
-      /* out = sourceA - sourceB */
-      out1 = inA1 - inB1;
-
-      /* Read values from source B */
-      inB2 = pIn2[1];
-
-      /* Read values from source A */
-      inA1 = pIn1[2];
-
-      /* out = sourceA - sourceB */
-      out2 = inA2 - inB2;
-
-      /* Read values from source B */
-      inB1 = pIn2[2];
-
-      /* Store result in destination */
-      pOut[0] = out1;
-      pOut[1] = out2;
-
-      /* Read values from source A */
-      inA2 = pIn1[3];
-
-      /* Read values from source B */
-      inB2 = pIn2[3];
-
-      /* out = sourceA - sourceB */
-      out1 = inA1 - inB1;
-
-
-      /* out = sourceA - sourceB */
-      out2 = inA2 - inB2;
-
-      /* Store result in destination */
-      pOut[2] = out1;
-
-      /* Store result in destination */
-      pOut[3] = out2;
-
-
-      /* update pointers to process next sampels */
-      pIn1 += 4u;
-      pIn2 += 4u;
-      pOut += 4u;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
-     ** No loop unrolling is used. */
-    blkCnt = numSamples % 0x4u;
-
-#else
-
-    /* Run the below code for Cortex-M0 */
-
-    /* Initialize blkCnt with number of samples */
-    blkCnt = numSamples;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) - B(m,n) */
-      /* Subtract and then store the results in the destination buffer. */
-      *pOut++ = (*pIn1++) - (*pIn2++);
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* Set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-}
-
-/**        
- * @} end of MatrixSub group        
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_sub_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_sub_q15.c
deleted file mode 100644
index 1857fd837..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_sub_q15.c
+++ /dev/null
@@ -1,158 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_mat_sub_q15.c    
-*    
-* Description:	Q15 Matrix subtraction    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.5  2010/04/26     
-*    incorporated review comments and updated with latest CMSIS layer    
-*    
-* Version 0.0.3  2010/03/10     
-*    Initial version    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupMatrix    
- */
-
-/**    
- * @addtogroup MatrixSub    
- * @{    
- */
-
-/**    
- * @brief Q15 matrix subtraction.    
- * @param[in]       *pSrcA points to the first input matrix structure    
- * @param[in]       *pSrcB points to the second input matrix structure    
- * @param[out]      *pDst points to output matrix structure    
- * @return     		The function returns either    
- * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.    
- *    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function uses saturating arithmetic.    
- * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated.    
- */
-
-arm_status arm_mat_sub_q15(
-  const arm_matrix_instance_q15 * pSrcA,
-  const arm_matrix_instance_q15 * pSrcB,
-  arm_matrix_instance_q15 * pDst)
-{
-  q15_t *pInA = pSrcA->pData;                    /* input data matrix pointer A */
-  q15_t *pInB = pSrcB->pData;                    /* input data matrix pointer B */
-  q15_t *pOut = pDst->pData;                     /* output data matrix pointer */
-  uint32_t numSamples;                           /* total number of elements in the matrix */
-  uint32_t blkCnt;                               /* loop counters  */
-  arm_status status;                             /* status of matrix subtraction  */
-
-
-#ifdef ARM_MATH_MATRIX_CHECK
-
-
-  /* Check for matrix mismatch condition */
-  if((pSrcA->numRows != pSrcB->numRows) ||
-     (pSrcA->numCols != pSrcB->numCols) ||
-     (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
-
-  {
-    /* Total number of samples in the input matrix */
-    numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
-
-#ifndef ARM_MATH_CM0
-
-    /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-    /* Apply loop unrolling */
-    blkCnt = numSamples >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-     ** a second loop below computes the remaining 1 to 3 samples. */
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) - B(m,n) */
-      /* Subtract, Saturate and then store the results in the destination buffer. */
-      *__SIMD32(pOut)++ = __QSUB16(*__SIMD32(pInA)++, *__SIMD32(pInB)++);
-      *__SIMD32(pOut)++ = __QSUB16(*__SIMD32(pInA)++, *__SIMD32(pInB)++);
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-     ** No loop unrolling is used. */
-    blkCnt = numSamples % 0x4u;
-
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) - B(m,n) */
-      /* Subtract and then store the results in the destination buffer. */
-      *pOut++ = (q15_t) __QSUB16(*pInA++, *pInB++);
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-#else
-
-    /* Run the below code for Cortex-M0 */
-
-    /* Initialize blkCnt with number of samples */
-    blkCnt = numSamples;
-
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) - B(m,n) */
-      /* Subtract and then store the results in the destination buffer. */
-      *pOut++ = (q15_t) __SSAT(((q31_t) * pInA++ - *pInB++), 16);
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-    /* Set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-}
-
-/**    
- * @} end of MatrixSub group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_sub_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_sub_q31.c
deleted file mode 100644
index 279fd7f7c..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_sub_q31.c
+++ /dev/null
@@ -1,206 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_mat_sub_q31.c    
-*    
-* Description:	Q31 matrix subtraction    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.5  2010/04/26     
-*    incorporated review comments and updated with latest CMSIS layer    
-*    
-* Version 0.0.3  2010/03/10     
-*    Initial version    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**        
- * @ingroup groupMatrix        
- */
-
-/**        
- * @addtogroup MatrixSub        
- * @{        
- */
-
-/**        
- * @brief Q31 matrix subtraction.        
- * @param[in]       *pSrcA points to the first input matrix structure        
- * @param[in]       *pSrcB points to the second input matrix structure        
- * @param[out]      *pDst points to output matrix structure        
- * @return     		The function returns either        
- * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.        
- *        
- * Scaling and Overflow Behavior:        
- * \par        
- * The function uses saturating arithmetic.        
- * Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] will be saturated.        
- */
-
-
-arm_status arm_mat_sub_q31(
-  const arm_matrix_instance_q31 * pSrcA,
-  const arm_matrix_instance_q31 * pSrcB,
-  arm_matrix_instance_q31 * pDst)
-{
-  q31_t *pIn1 = pSrcA->pData;                    /* input data matrix pointer A */
-  q31_t *pIn2 = pSrcB->pData;                    /* input data matrix pointer B */
-  q31_t *pOut = pDst->pData;                     /* output data matrix pointer */
-  q31_t inA1, inB1;                              /* temporary variables */
-
-#ifndef ARM_MATH_CM0
-
-  q31_t inA2, inB2;                              /* temporary variables */
-  q31_t out1, out2;                              /* temporary variables */
-
-#endif //      #ifndef ARM_MATH_CM0
-
-  uint32_t numSamples;                           /* total number of elements in the matrix  */
-  uint32_t blkCnt;                               /* loop counters */
-  arm_status status;                             /* status of matrix subtraction */
-
-
-#ifdef ARM_MATH_MATRIX_CHECK
-  /* Check for matrix mismatch condition  */
-  if((pSrcA->numRows != pSrcB->numRows) ||
-     (pSrcA->numCols != pSrcB->numCols) ||
-     (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif
-  {
-    /* Total number of samples in the input matrix */
-    numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
-
-#ifndef ARM_MATH_CM0
-
-    /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-    /* Loop Unrolling */
-    blkCnt = numSamples >> 2u;
-
-    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-     ** a second loop below computes the remaining 1 to 3 samples. */
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) - B(m,n) */
-      /* Subtract, saturate and then store the results in the destination buffer. */
-      /* Read values from source A */
-      inA1 = pIn1[0];
-
-      /* Read values from source B */
-      inB1 = pIn2[0];
-
-      /* Read values from source A */
-      inA2 = pIn1[1];
-
-      /* Subtract and saturate */
-      out1 = __QSUB(inA1, inB1);
-
-      /* Read values from source B */
-      inB2 = pIn2[1];
-
-      /* Read values from source A */
-      inA1 = pIn1[2];
-
-      /* Subtract and saturate */
-      out2 = __QSUB(inA2, inB2);
-
-      /* Read values from source B */
-      inB1 = pIn2[2];
-
-      /* Store result in destination */
-      pOut[0] = out1;
-      pOut[1] = out2;
-
-      /* Read values from source A */
-      inA2 = pIn1[3];
-
-      /* Read values from source B */
-      inB2 = pIn2[3];
-
-      /* Subtract and saturate */
-      out1 = __QSUB(inA1, inB1);
-
-      /* Subtract and saturate */
-      out2 = __QSUB(inA2, inB2);
-
-      /* Store result in destination */
-      pOut[2] = out1;
-      pOut[3] = out2;
-
-      /* update pointers to process next samples */
-      pIn1 += 4u;
-      pIn2 += 4u;
-      pOut += 4u;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* If the numSamples is not a multiple of 4, compute any remaining output samples here.        
-     ** No loop unrolling is used. */
-    blkCnt = numSamples % 0x4u;
-
-#else
-
-    /* Run the below code for Cortex-M0 */
-
-    /* Initialize blkCnt with number of samples */
-    blkCnt = numSamples;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-    while(blkCnt > 0u)
-    {
-      /* C(m,n) = A(m,n) - B(m,n) */
-      /* Subtract, saturate and then store the results in the destination buffer. */
-      inA1 = *pIn1++;
-      inB1 = *pIn2++;
-
-      inA1 = __QSUB(inA1, inB1);
-
-      *pOut++ = inA1;
-
-      /* Decrement the loop counter */
-      blkCnt--;
-    }
-
-    /* Set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-}
-
-/**        
- * @} end of MatrixSub group        
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_trans_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_trans_f32.c
deleted file mode 100644
index 235028f5a..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_trans_f32.c
+++ /dev/null
@@ -1,216 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_mat_trans_f32.c    
-*    
-* Description:	Floating-point matrix transpose.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.5  2010/04/26     
-*    incorporated review comments and updated with latest CMSIS layer    
-*    
-* Version 0.0.3  2010/03/10     
-*    Initial version    
-* -------------------------------------------------------------------- */
-
-/**    
- * @defgroup MatrixTrans Matrix Transpose    
- *    
- * Tranposes a matrix.    
- * Transposing an M x N matrix flips it around the center diagonal and results in an N x M matrix.    
- * \image html MatrixTranspose.gif "Transpose of a 3 x 3 matrix"    
- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupMatrix    
- */
-
-/**    
- * @addtogroup MatrixTrans    
- * @{    
- */
-
-/**    
-  * @brief Floating-point matrix transpose.    
-  * @param[in]  *pSrc points to the input matrix    
-  * @param[out] *pDst points to the output matrix    
-  * @return 	The function returns either  ARM_MATH_SIZE_MISMATCH    
-  * or ARM_MATH_SUCCESS based on the outcome of size checking.    
-  */
-
-
-arm_status arm_mat_trans_f32(
-  const arm_matrix_instance_f32 * pSrc,
-  arm_matrix_instance_f32 * pDst)
-{
-  float32_t *pIn = pSrc->pData;                  /* input data matrix pointer */
-  float32_t *pOut = pDst->pData;                 /* output data matrix pointer */
-  float32_t *px;                                 /* Temporary output data matrix pointer */
-  uint16_t nRows = pSrc->numRows;                /* number of rows */
-  uint16_t nColumns = pSrc->numCols;             /* number of columns */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  uint16_t blkCnt, i = 0u, row = nRows;          /* loop counters */
-  arm_status status;                             /* status of matrix transpose  */
-
-
-#ifdef ARM_MATH_MATRIX_CHECK
-
-
-  /* Check for matrix mismatch condition */
-  if((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
-
-  {
-    /* Matrix transpose by exchanging the rows with columns */
-    /* row loop     */
-    do
-    {
-      /* Loop Unrolling */
-      blkCnt = nColumns >> 2;
-
-      /* The pointer px is set to starting address of the column being processed */
-      px = pOut + i;
-
-      /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-       ** a second loop below computes the remaining 1 to 3 samples. */
-      while(blkCnt > 0u)        /* column loop */
-      {
-        /* Read and store the input element in the destination */
-        *px = *pIn++;
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += nRows;
-
-        /* Read and store the input element in the destination */
-        *px = *pIn++;
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += nRows;
-
-        /* Read and store the input element in the destination */
-        *px = *pIn++;
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += nRows;
-
-        /* Read and store the input element in the destination */
-        *px = *pIn++;
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += nRows;
-
-        /* Decrement the column loop counter */
-        blkCnt--;
-      }
-
-      /* Perform matrix transpose for last 3 samples here. */
-      blkCnt = nColumns % 0x4u;
-
-      while(blkCnt > 0u)
-      {
-        /* Read and store the input element in the destination */
-        *px = *pIn++;
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += nRows;
-
-        /* Decrement the column loop counter */
-        blkCnt--;
-      }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  uint16_t col, i = 0u, row = nRows;             /* loop counters */
-  arm_status status;                             /* status of matrix transpose  */
-
-
-#ifdef ARM_MATH_MATRIX_CHECK
-
-  /* Check for matrix mismatch condition */
-  if((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*      #ifdef ARM_MATH_MATRIX_CHECK    */
-
-  {
-    /* Matrix transpose by exchanging the rows with columns */
-    /* row loop     */
-    do
-    {
-      /* The pointer px is set to starting address of the column being processed */
-      px = pOut + i;
-
-      /* Initialize column loop counter */
-      col = nColumns;
-
-      while(col > 0u)
-      {
-        /* Read and store the input element in the destination */
-        *px = *pIn++;
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += nRows;
-
-        /* Decrement the column loop counter */
-        col--;
-      }
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-      i++;
-
-      /* Decrement the row loop counter */
-      row--;
-
-    } while(row > 0u);          /* row loop end  */
-
-    /* Set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-}
-
-/**    
- * @} end of MatrixTrans group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_trans_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_trans_q15.c
deleted file mode 100644
index be9c78e00..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_trans_q15.c
+++ /dev/null
@@ -1,282 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_mat_trans_q15.c    
-*    
-* Description:	Q15 matrix transpose.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.5  2010/04/26     
-*    incorporated review comments and updated with latest CMSIS layer    
-*    
-* Version 0.0.3  2010/03/10     
-*    Initial version    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupMatrix    
- */
-
-/**    
- * @addtogroup MatrixTrans    
- * @{    
- */
-
-/*    
- * @brief Q15 matrix transpose.    
- * @param[in]  *pSrc points to the input matrix    
- * @param[out] *pDst points to the output matrix    
- * @return 	The function returns either  ARM_MATH_SIZE_MISMATCH    
- * or ARM_MATH_SUCCESS based on the outcome of size checking.    
- */
-
-arm_status arm_mat_trans_q15(
-  const arm_matrix_instance_q15 * pSrc,
-  arm_matrix_instance_q15 * pDst)
-{
-  q15_t *pSrcA = pSrc->pData;                    /* input data matrix pointer */
-  q15_t *pOut = pDst->pData;                     /* output data matrix pointer */
-  uint16_t nRows = pSrc->numRows;                /* number of nRows */
-  uint16_t nColumns = pSrc->numCols;             /* number of nColumns */
-  uint16_t col, row = nRows, i = 0u;             /* row and column loop counters */
-  arm_status status;                             /* status of matrix transpose */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-  q31_t in;                                      /* variable to hold temporary output  */
-
-#else
-
-  q15_t in;
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-#ifdef ARM_MATH_MATRIX_CHECK
-
-
-  /* Check for matrix mismatch condition */
-  if((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*      #ifdef ARM_MATH_MATRIX_CHECK    */
-
-  {
-    /* Matrix transpose by exchanging the rows with columns */
-    /* row loop     */
-    do
-    {
-
-      /* Apply loop unrolling and exchange the columns with row elements */
-      col = nColumns >> 2u;
-
-      /* The pointer pOut is set to starting address of the column being processed */
-      pOut = pDst->pData + i;
-
-      /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-       ** a second loop below computes the remaining 1 to 3 samples. */
-      while(col > 0u)
-      {
-#ifndef UNALIGNED_SUPPORT_DISABLE
-
-        /* Read two elements from the row */
-        in = *__SIMD32(pSrcA)++;
-
-        /* Unpack and store one element in the destination */
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        *pOut = (q15_t) in;
-
-#else
-
-        *pOut = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
-
-#endif /*    #ifndef ARM_MATH_BIG_ENDIAN    */
-
-        /* Update the pointer pOut to point to the next row of the transposed matrix */
-        pOut += nRows;
-
-        /* Unpack and store the second element in the destination */
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        *pOut = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
-
-#else
-
-        *pOut = (q15_t) in;
-
-#endif /*    #ifndef ARM_MATH_BIG_ENDIAN    */
-
-        /* Update the pointer pOut to point to the next row of the transposed matrix */
-        pOut += nRows;
-
-        /* Read two elements from the row */
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        in = *__SIMD32(pSrcA)++;
-
-#else
-
-        in = *__SIMD32(pSrcA)++;
-
-#endif /*    #ifndef ARM_MATH_BIG_ENDIAN    */
-
-        /* Unpack and store one element in the destination */
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        *pOut = (q15_t) in;
-
-#else
-
-        *pOut = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
-
-#endif /*    #ifndef ARM_MATH_BIG_ENDIAN    */
-
-        /* Update the pointer pOut to point to the next row of the transposed matrix */
-        pOut += nRows;
-
-        /* Unpack and store the second element in the destination */
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        *pOut = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
-
-#else
-
-        *pOut = (q15_t) in;
-
-#endif /*    #ifndef ARM_MATH_BIG_ENDIAN    */
-
-#else	 
-        /* Read one element from the row */
-        in = *pSrcA++;
-
-        /* Store one element in the destination */
-        *pOut = in;
- 
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        pOut += nRows;
-
-        /* Read one element from the row */
-        in = *pSrcA++;
-
-        /* Store one element in the destination */
-        *pOut = in;
- 
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        pOut += nRows;
-
-        /* Read one element from the row */
-        in = *pSrcA++;
-
-        /* Store one element in the destination */
-        *pOut = in;
- 
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        pOut += nRows;
-
-        /* Read one element from the row */
-        in = *pSrcA++;
-
-        /* Store one element in the destination */
-        *pOut = in;
-
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-        /* Update the pointer pOut to point to the next row of the transposed matrix */
-        pOut += nRows;
-
-        /* Decrement the column loop counter */
-        col--;
-      }
-
-      /* Perform matrix transpose for last 3 samples here. */
-      col = nColumns % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-#ifdef ARM_MATH_MATRIX_CHECK
-
-  /* Check for matrix mismatch condition */
-  if((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
-
-  {
-    /* Matrix transpose by exchanging the rows with columns */
-    /* row loop     */
-    do
-    {
-      /* The pointer pOut is set to starting address of the column being processed */
-      pOut = pDst->pData + i;
-
-      /* Initialize column loop counter */
-      col = nColumns;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-      while(col > 0u)
-      {
-        /* Read and store the input element in the destination */
-        *pOut = *pSrcA++;
-
-        /* Update the pointer pOut to point to the next row of the transposed matrix */
-        pOut += nRows;
-
-        /* Decrement the column loop counter */
-        col--;
-      }
-
-      i++;
-
-      /* Decrement the row loop counter */
-      row--;
-
-    } while(row > 0u);
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-  /* Return to application */
-  return (status);
-}
-
-/**    
- * @} end of MatrixTrans group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_trans_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_trans_q31.c
deleted file mode 100644
index 253a923d1..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/MatrixFunctions/arm_mat_trans_q31.c
+++ /dev/null
@@ -1,208 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_mat_trans_q31.c    
-*    
-* Description:	Q31 matrix transpose.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.5  2010/04/26     
-*    incorporated review comments and updated with latest CMSIS layer    
-*    
-* Version 0.0.3  2010/03/10     
-*    Initial version    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupMatrix    
- */
-
-/**    
- * @addtogroup MatrixTrans    
- * @{    
- */
-
-/*    
-  * @brief Q31 matrix transpose.    
-  * @param[in]  *pSrc points to the input matrix    
-  * @param[out] *pDst points to the output matrix    
-  * @return 	The function returns either  ARM_MATH_SIZE_MISMATCH    
-  * or ARM_MATH_SUCCESS based on the outcome of size checking.    
- */
-
-arm_status arm_mat_trans_q31(
-  const arm_matrix_instance_q31 * pSrc,
-  arm_matrix_instance_q31 * pDst)
-{
-  q31_t *pIn = pSrc->pData;                      /* input data matrix pointer  */
-  q31_t *pOut = pDst->pData;                     /* output data matrix pointer  */
-  q31_t *px;                                     /* Temporary output data matrix pointer */
-  uint16_t nRows = pSrc->numRows;                /* number of nRows */
-  uint16_t nColumns = pSrc->numCols;             /* number of nColumns  */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  uint16_t blkCnt, i = 0u, row = nRows;          /* loop counters */
-  arm_status status;                             /* status of matrix transpose */
-
-
-#ifdef ARM_MATH_MATRIX_CHECK
-
-
-  /* Check for matrix mismatch condition */
-  if((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
-
-  {
-    /* Matrix transpose by exchanging the rows with columns */
-    /* row loop     */
-    do
-    {
-      /* Apply loop unrolling and exchange the columns with row elements */
-      blkCnt = nColumns >> 2u;
-
-      /* The pointer px is set to starting address of the column being processed */
-      px = pOut + i;
-
-      /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-       ** a second loop below computes the remaining 1 to 3 samples. */
-      while(blkCnt > 0u)
-      {
-        /* Read and store the input element in the destination */
-        *px = *pIn++;
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += nRows;
-
-        /* Read and store the input element in the destination */
-        *px = *pIn++;
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += nRows;
-
-        /* Read and store the input element in the destination */
-        *px = *pIn++;
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += nRows;
-
-        /* Read and store the input element in the destination */
-        *px = *pIn++;
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += nRows;
-
-        /* Decrement the column loop counter */
-        blkCnt--;
-      }
-
-      /* Perform matrix transpose for last 3 samples here. */
-      blkCnt = nColumns % 0x4u;
-
-      while(blkCnt > 0u)
-      {
-        /* Read and store the input element in the destination */
-        *px = *pIn++;
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += nRows;
-
-        /* Decrement the column loop counter */
-        blkCnt--;
-      }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  uint16_t col, i = 0u, row = nRows;             /* loop counters */
-  arm_status status;                             /* status of matrix transpose */
-
-
-#ifdef ARM_MATH_MATRIX_CHECK
-
-  /* Check for matrix mismatch condition */
-  if((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows))
-  {
-    /* Set status as ARM_MATH_SIZE_MISMATCH */
-    status = ARM_MATH_SIZE_MISMATCH;
-  }
-  else
-#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
-
-  {
-    /* Matrix transpose by exchanging the rows with columns */
-    /* row loop     */
-    do
-    {
-      /* The pointer px is set to starting address of the column being processed */
-      px = pOut + i;
-
-      /* Initialize column loop counter */
-      col = nColumns;
-
-      while(col > 0u)
-      {
-        /* Read and store the input element in the destination */
-        *px = *pIn++;
-
-        /* Update the pointer px to point to the next row of the transposed matrix */
-        px += nRows;
-
-        /* Decrement the column loop counter */
-        col--;
-      }
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-      i++;
-
-      /* Decrement the row loop counter */
-      row--;
-
-    }
-    while(row > 0u);            /* row loop end */
-
-    /* set status as ARM_MATH_SUCCESS */
-    status = ARM_MATH_SUCCESS;
-  }
-
-  /* Return to application */
-  return (status);
-}
-
-/**    
- * @} end of MatrixTrans group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_max_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_max_f32.c
deleted file mode 100644
index afd964885..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_max_f32.c
+++ /dev/null
@@ -1,178 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_max_f32.c    
-*    
-* Description:	Maximum value of a floating-point vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @defgroup Max Maximum    
- *    
- * Computes the maximum value of an array of data.     
- * The function returns both the maximum value and its position within the array.     
- * There are separate functions for floating-point, Q31, Q15, and Q7 data types.    
- */
-
-/**    
- * @addtogroup Max    
- * @{    
- */
-
-
-/**    
- * @brief Maximum value of a floating-point vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult maximum value returned here    
- * @param[out]      *pIndex index of maximum value returned here    
- * @return none.    
- */
-
-void arm_max_f32(
-  float32_t * pSrc,
-  uint32_t blockSize,
-  float32_t * pResult,
-  uint32_t * pIndex)
-{
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  float32_t maxVal1, maxVal2, out;               /* Temporary variables to store the output value. */
-  uint32_t blkCnt, outIndex, count;              /* loop counter */
-
-  /* Initialise the count value. */
-  count = 0u;
-  /* Initialise the index value to zero. */
-  outIndex = 0u;
-  /* Load first input value that act as reference value for comparision */
-  out = *pSrc++;
-
-  /* Loop unrolling */
-  blkCnt = (blockSize - 1u) >> 2u;
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  while(blkCnt > 0u)
-  {
-    /* Initialize maxVal to the next consecutive values one by one */
-    maxVal1 = *pSrc++;
-
-    maxVal2 = *pSrc++;
-
-    /* compare for the maximum value */
-    if(out < maxVal1)
-    {
-      /* Update the maximum value and its index */
-      out = maxVal1;
-      outIndex = count + 1u;
-    }
-
-    maxVal1 = *pSrc++;
-
-    /* compare for the maximum value */
-    if(out < maxVal2)
-    {
-      /* Update the maximum value and its index */
-      out = maxVal2;
-      outIndex = count + 2u;
-    }
-
-    maxVal2 = *pSrc++;
-
-    /* compare for the maximum value */
-    if(out < maxVal1)
-    {
-      /* Update the maximum value and its index */
-      out = maxVal1;
-      outIndex = count + 3u;
-    }
-
-    /* compare for the maximum value */
-    if(out < maxVal2)
-    {
-      /* Update the maximum value and its index */
-      out = maxVal2;
-      outIndex = count + 4u;
-    }
-
-    count += 4u;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* if (blockSize - 1u) is not multiple of 4 */
-  blkCnt = (blockSize - 1u) % 4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  float32_t maxVal1, out;                        /* Temporary variables to store the output value. */
-  uint32_t blkCnt, outIndex;                     /* loop counter */
-
-  /* Initialise the index value to zero. */
-  outIndex = 0u;
-  /* Load first input value that act as reference value for comparision */
-  out = *pSrc++;
-
-  blkCnt = (blockSize - 1u);
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  while(blkCnt > 0u)
-  {
-    /* Initialize maxVal to the next consecutive values one by one */
-    maxVal1 = *pSrc++;
-
-    /* compare for the maximum value */
-    if(out < maxVal1)
-    {
-      /* Update the maximum value and it's index */
-      out = maxVal1;
-      outIndex = blockSize - blkCnt;
-    }
-
-
-    /* Decrement the loop counter */
-    blkCnt--;
-
-  }
-
-  /* Store the maximum value and it's index into destination pointers */
-  *pResult = out;
-  *pIndex = outIndex;
-}
-
-/**    
- * @} end of Max group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_max_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_max_q15.c
deleted file mode 100644
index 939b5236f..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_max_q15.c
+++ /dev/null
@@ -1,168 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_max_q15.c    
-*    
-* Description:	Maximum value of a Q15 vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @addtogroup Max    
- * @{    
- */
-
-
-/**    
- * @brief Maximum value of a Q15 vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult maximum value returned here    
- * @param[out]      *pIndex index of maximum value returned here    
- * @return none.    
- */
-
-void arm_max_q15(
-  q15_t * pSrc,
-  uint32_t blockSize,
-  q15_t * pResult,
-  uint32_t * pIndex)
-{
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  q15_t maxVal1, maxVal2, out;                   /* Temporary variables to store the output value. */
-  uint32_t blkCnt, outIndex, count;              /* loop counter */
-
-  /* Initialise the count value. */
-  count = 0u;
-  /* Initialise the index value to zero. */
-  outIndex = 0u;
-  /* Load first input value that act as reference value for comparision */
-  out = *pSrc++;
-
-  /* Loop unrolling */
-  blkCnt = (blockSize - 1u) >> 2u;
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  while(blkCnt > 0u)
-  {
-    /* Initialize maxVal to the next consecutive values one by one */
-    maxVal1 = *pSrc++;
-
-    maxVal2 = *pSrc++;
-
-    /* compare for the maximum value */
-    if(out < maxVal1)
-    {
-      /* Update the maximum value and its index */
-      out = maxVal1;
-      outIndex = count + 1u;
-    }
-
-    maxVal1 = *pSrc++;
-
-    /* compare for the maximum value */
-    if(out < maxVal2)
-    {
-      /* Update the maximum value and its index */
-      out = maxVal2;
-      outIndex = count + 2u;
-    }
-
-    maxVal2 = *pSrc++;
-
-    /* compare for the maximum value */
-    if(out < maxVal1)
-    {
-      /* Update the maximum value and its index */
-      out = maxVal1;
-      outIndex = count + 3u;
-    }
-
-    /* compare for the maximum value */
-    if(out < maxVal2)
-    {
-      /* Update the maximum value and its index */
-      out = maxVal2;
-      outIndex = count + 4u;
-    }
-
-    count += 4u;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* if (blockSize - 1u) is not multiple of 4 */
-  blkCnt = (blockSize - 1u) % 4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  q15_t maxVal1, out;                            /* Temporary variables to store the output value. */
-  uint32_t blkCnt, outIndex;                     /* loop counter */
-
-  blkCnt = (blockSize - 1u);
-
-  /* Initialise the index value to zero. */
-  outIndex = 0u;
-  /* Load first input value that act as reference value for comparision */
-  out = *pSrc++;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  while(blkCnt > 0u)
-  {
-    /* Initialize maxVal to the next consecutive values one by one */
-    maxVal1 = *pSrc++;
-
-    /* compare for the maximum value */
-    if(out < maxVal1)
-    {
-      /* Update the maximum value and it's index */
-      out = maxVal1;
-      outIndex = blockSize - blkCnt;
-    }
-    /* Decrement the loop counter */
-    blkCnt--;
-
-  }
-
-  /* Store the maximum value and its index into destination pointers */
-  *pResult = out;
-  *pIndex = outIndex;
-}
-
-/**    
- * @} end of Max group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_max_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_max_q31.c
deleted file mode 100644
index 18e757297..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_max_q31.c
+++ /dev/null
@@ -1,169 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_max_q31.c    
-*    
-* Description:	Maximum value of a Q31 vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @addtogroup Max    
- * @{    
- */
-
-
-/**    
- * @brief Maximum value of a Q31 vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult maximum value returned here    
- * @param[out]      *pIndex index of maximum value returned here    
- * @return none.    
- */
-
-void arm_max_q31(
-  q31_t * pSrc,
-  uint32_t blockSize,
-  q31_t * pResult,
-  uint32_t * pIndex)
-{
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  q31_t maxVal1, maxVal2, out;                   /* Temporary variables to store the output value. */
-  uint32_t blkCnt, outIndex, count;              /* loop counter */
-
-  /* Initialise the count value. */
-  count = 0u;
-  /* Initialise the index value to zero. */
-  outIndex = 0u;
-  /* Load first input value that act as reference value for comparision */
-  out = *pSrc++;
-
-  /* Loop unrolling */
-  blkCnt = (blockSize - 1u) >> 2u;
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  while(blkCnt > 0u)
-  {
-    /* Initialize maxVal to the next consecutive values one by one */
-    maxVal1 = *pSrc++;
-
-    maxVal2 = *pSrc++;
-
-    /* compare for the maximum value */
-    if(out < maxVal1)
-    {
-      /* Update the maximum value and its index */
-      out = maxVal1;
-      outIndex = count + 1u;
-    }
-
-    maxVal1 = *pSrc++;
-
-    /* compare for the maximum value */
-    if(out < maxVal2)
-    {
-      /* Update the maximum value and its index */
-      out = maxVal2;
-      outIndex = count + 2u;
-    }
-
-    maxVal2 = *pSrc++;
-
-    /* compare for the maximum value */
-    if(out < maxVal1)
-    {
-      /* Update the maximum value and its index */
-      out = maxVal1;
-      outIndex = count + 3u;
-    }
-
-    /* compare for the maximum value */
-    if(out < maxVal2)
-    {
-      /* Update the maximum value and its index */
-      out = maxVal2;
-      outIndex = count + 4u;
-    }
-
-    count += 4u;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* if (blockSize - 1u) is not multiple of 4 */
-  blkCnt = (blockSize - 1u) % 4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  q31_t maxVal1, out;                            /* Temporary variables to store the output value. */
-  uint32_t blkCnt, outIndex;                     /* loop counter */
-
-  /* Initialise the index value to zero. */
-  outIndex = 0u;
-  /* Load first input value that act as reference value for comparision */
-  out = *pSrc++;
-
-  blkCnt = (blockSize - 1u);
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  while(blkCnt > 0u)
-  {
-    /* Initialize maxVal to the next consecutive values one by one */
-    maxVal1 = *pSrc++;
-
-    /* compare for the maximum value */
-    if(out < maxVal1)
-    {
-      /* Update the maximum value and it's index */
-      out = maxVal1;
-      outIndex = blockSize - blkCnt;
-    }
-
-    /* Decrement the loop counter */
-    blkCnt--;
-
-  }
-
-  /* Store the maximum value and its index into destination pointers */
-  *pResult = out;
-  *pIndex = outIndex;
-}
-
-/**    
- * @} end of Max group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_max_q7.c b/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_max_q7.c
deleted file mode 100644
index 110a8fe5f..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_max_q7.c
+++ /dev/null
@@ -1,169 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_max_q7.c    
-*    
-* Description:	Maximum value of a Q7 vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @addtogroup Max    
- * @{    
- */
-
-
-/**    
- * @brief Maximum value of a Q7 vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult maximum value returned here    
- * @param[out]      *pIndex index of maximum value returned here    
-  * @return none.    
- */
-
-void arm_max_q7(
-  q7_t * pSrc,
-  uint32_t blockSize,
-  q7_t * pResult,
-  uint32_t * pIndex)
-{
-#ifndef ARM_MATH_CM0
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q7_t maxVal1, maxVal2, out;                    /* Temporary variables to store the output value. */
-  uint32_t blkCnt, outIndex, count;              /* loop counter */
-
-  /* Initialise the count value. */
-  count = 0u;
-  /* Initialise the index value to zero. */
-  outIndex = 0u;
-  /* Load first input value that act as reference value for comparision */
-  out = *pSrc++;
-
-  /* Loop unrolling */
-  blkCnt = (blockSize - 1u) >> 2u;
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  while(blkCnt > 0u)
-  {
-    /* Initialize maxVal to the next consecutive values one by one */
-    maxVal1 = *pSrc++;
-
-    maxVal2 = *pSrc++;
-
-    /* compare for the maximum value */
-    if(out < maxVal1)
-    {
-      /* Update the maximum value and its index */
-      out = maxVal1;
-      outIndex = count + 1u;
-    }
-
-    maxVal1 = *pSrc++;
-
-    /* compare for the maximum value */
-    if(out < maxVal2)
-    {
-      /* Update the maximum value and its index */
-      out = maxVal2;
-      outIndex = count + 2u;
-    }
-
-    maxVal2 = *pSrc++;
-
-    /* compare for the maximum value */
-    if(out < maxVal1)
-    {
-      /* Update the maximum value and its index */
-      out = maxVal1;
-      outIndex = count + 3u;
-    }
-
-    /* compare for the maximum value */
-    if(out < maxVal2)
-    {
-      /* Update the maximum value and its index */
-      out = maxVal2;
-      outIndex = count + 4u;
-    }
-
-    count += 4u;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* if (blockSize - 1u) is not multiple of 4 */
-  blkCnt = (blockSize - 1u) % 4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  q7_t maxVal1, out;                             /* Temporary variables to store the output value. */
-  uint32_t blkCnt, outIndex;                     /* loop counter */
-
-  /* Initialise the index value to zero. */
-  outIndex = 0u;
-  /* Load first input value that act as reference value for comparision */
-  out = *pSrc++;
-
-  blkCnt = (blockSize - 1u);
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  while(blkCnt > 0u)
-  {
-    /* Initialize maxVal to the next consecutive values one by one */
-    maxVal1 = *pSrc++;
-
-    /* compare for the maximum value */
-    if(out < maxVal1)
-    {
-      /* Update the maximum value and it's index */
-      out = maxVal1;
-      outIndex = blockSize - blkCnt;
-    }
-    /* Decrement the loop counter */
-    blkCnt--;
-
-  }
-
-  /* Store the maximum value and its index into destination pointers */
-  *pResult = out;
-  *pIndex = outIndex;
-
-}
-
-/**    
- * @} end of Max group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_mean_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_mean_f32.c
deleted file mode 100644
index 7823d746c..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_mean_f32.c
+++ /dev/null
@@ -1,131 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_mean_f32.c    
-*    
-* Description:	Mean value of a floating-point vector.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @defgroup mean Mean    
- *    
- * Calculates the mean of the input vector. Mean is defined as the average of the elements in the vector.    
- * The underlying algorithm is used:    
- *    
- * 
    
- * 	Result = (pSrc[0] + pSrc[1] + pSrc[2] + ... + pSrc[blockSize-1]) / blockSize;    
- * 
    
- *    
- * There are separate functions for floating-point, Q31, Q15, and Q7 data types.    
- */
-
-/**    
- * @addtogroup mean    
- * @{    
- */
-
-
-/**    
- * @brief Mean value of a floating-point vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult mean value returned here    
- * @return none.    
- */
-
-
-void arm_mean_f32(
-  float32_t * pSrc,
-  uint32_t blockSize,
-  float32_t * pResult)
-{
-  float32_t sum = 0.0f;                          /* Temporary result storage */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  float32_t in1, in2, in3, in4;
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
-    in1 = *pSrc++;
-    in2 = *pSrc++;
-    in3 = *pSrc++;
-    in4 = *pSrc++;
-
-    sum += in1;
-    sum += in2;
-    sum += in3;
-    sum += in4;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
-    sum += *pSrc++;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize  */
-  /* Store the result to the destination */
-  *pResult = sum / (float32_t) blockSize;
-}
-
-/**    
- * @} end of mean group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_mean_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_mean_q15.c
deleted file mode 100644
index 49ec1e62e..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_mean_q15.c
+++ /dev/null
@@ -1,125 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_mean_q15.c    
-*    
-* Description:	Mean value of a Q15 vector.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @addtogroup mean    
- * @{    
- */
-
-/**    
- * @brief Mean value of a Q15 vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult mean value returned here    
- * @return none.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function is implemented using a 32-bit internal accumulator.    
- * The input is represented in 1.15 format and is accumulated in a 32-bit     
- * accumulator in 17.15 format.     
- * There is no risk of internal overflow with this approach, and the     
- * full precision of intermediate result is preserved.     
- * Finally, the accumulator is saturated and truncated to yield a result of 1.15 format.    
- *    
- */
-
-
-void arm_mean_q15(
-  q15_t * pSrc,
-  uint32_t blockSize,
-  q15_t * pResult)
-{
-  q31_t sum = 0;                                 /* Temporary result storage */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  q31_t in;
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
-    in = *__SIMD32(pSrc)++;
-    sum += ((in << 16) >> 16);
-    sum += (in >> 16);
-    in = *__SIMD32(pSrc)++;
-    sum += ((in << 16) >> 16);
-    sum += (in >> 16);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
-    sum += *pSrc++;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize  */
-  /* Store the result to the destination */
-  *pResult = (q15_t) (sum / blockSize);
-}
-
-/**    
- * @} end of mean group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_mean_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_mean_q31.c
deleted file mode 100644
index 88a5de299..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_mean_q31.c
+++ /dev/null
@@ -1,128 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_mean_q31.c    
-*    
-* Description:	Mean value of a Q31 vector.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @addtogroup mean    
- * @{    
- */
-
-/**    
- * @brief Mean value of a Q31 vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult mean value returned here    
- * @return none.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- *\par    
- * The function is implemented using a 64-bit internal accumulator.    
- * The input is represented in 1.31 format and is accumulated in a 64-bit    
- * accumulator in 33.31 format.    
- * There is no risk of internal overflow with this approach, and the     
- * full precision of intermediate result is preserved.     
- * Finally, the accumulator is truncated to yield a result of 1.31 format.    
- *    
- */
-
-
-void arm_mean_q31(
-  q31_t * pSrc,
-  uint32_t blockSize,
-  q31_t * pResult)
-{
-  q63_t sum = 0;                                 /* Temporary result storage */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  q31_t in1, in2, in3, in4;
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
-    in1 = *pSrc++;
-    in2 = *pSrc++;
-    in3 = *pSrc++;
-    in4 = *pSrc++;
-
-    sum += in1;
-    sum += in2;
-    sum += in3;
-    sum += in4;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
-    sum += *pSrc++;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize  */
-  /* Store the result to the destination */
-  *pResult = (q31_t) (sum / (int32_t) blockSize);
-}
-
-/**    
- * @} end of mean group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_mean_q7.c b/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_mean_q7.c
deleted file mode 100644
index a34c011bc..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_mean_q7.c
+++ /dev/null
@@ -1,125 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_mean_q7.c    
-*    
-* Description:	Mean value of a Q7 vector.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @addtogroup mean    
- * @{    
- */
-
-/**    
- * @brief Mean value of a Q7 vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult mean value returned here    
- * @return none.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function is implemented using a 32-bit internal accumulator.     
- * The input is represented in 1.7 format and is accumulated in a 32-bit    
- * accumulator in 25.7 format.    
- * There is no risk of internal overflow with this approach, and the     
- * full precision of intermediate result is preserved.     
- * Finally, the accumulator is truncated to yield a result of 1.7 format.    
- *    
- */
-
-
-void arm_mean_q7(
-  q7_t * pSrc,
-  uint32_t blockSize,
-  q7_t * pResult)
-{
-  q31_t sum = 0;                                 /* Temporary result storage */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  q31_t in;
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
-    in = *__SIMD32(pSrc)++;
-
-    sum += ((in << 24) >> 24);
-    sum += ((in << 16) >> 24);
-    sum += ((in << 8) >> 24);
-    sum += (in >> 24);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
-    sum += *pSrc++;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize  */
-  /* Store the result to the destination */
-  *pResult = (q7_t) (sum / (int32_t) blockSize);
-}
-
-/**    
- * @} end of mean group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_min_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_min_f32.c
deleted file mode 100644
index dc2fdf624..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_min_f32.c
+++ /dev/null
@@ -1,175 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_min_f32.c    
-*    
-* Description:	Minimum value of a floating-point vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @defgroup Min Minimum    
- *    
- * Computes the minimum value of an array of data.     
- * The function returns both the minimum value and its position within the array.     
- * There are separate functions for floating-point, Q31, Q15, and Q7 data types.    
- */
-
-/**    
- * @addtogroup Min    
- * @{    
- */
-
-
-/**    
- * @brief Minimum value of a floating-point vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult minimum value returned here    
- * @param[out]      *pIndex index of minimum value returned here    
-  * @return none.    
- *    
- */
-
-void arm_min_f32(
-  float32_t * pSrc,
-  uint32_t blockSize,
-  float32_t * pResult,
-  uint32_t * pIndex)
-{
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  float32_t minVal1, minVal2, out;               /* Temporary variables to store the output value. */
-  uint32_t blkCnt, outIndex, count;              /* loop counter */
-
-  /* Initialise the count value. */
-  count = 0u;
-  /* Initialise the index value to zero. */
-  outIndex = 0u;
-  /* Load first input value that act as reference value for comparision */
-  out = *pSrc++;
-
-  /* Loop unrolling */
-  blkCnt = (blockSize - 1u) >> 2u;
-
-  while(blkCnt > 0)
-  {
-    /* Initialize minVal to the next consecutive values one by one */
-    minVal1 = *pSrc++;
-    minVal2 = *pSrc++;
-
-    /* compare for the minimum value */
-    if(out > minVal1)
-    {
-      /* Update the minimum value and its index */
-      out = minVal1;
-      outIndex = count + 1u;
-    }
-
-    minVal1 = *pSrc++;
-
-    /* compare for the minimum value */
-    if(out > minVal2)
-    {
-      /* Update the minimum value and its index */
-      out = minVal2;
-      outIndex = count + 2u;
-    }
-
-    minVal2 = *pSrc++;
-
-    /* compare for the minimum value */
-    if(out > minVal1)
-    {
-      /* Update the minimum value and its index */
-      out = minVal1;
-      outIndex = count + 3u;
-    }
-
-    /* compare for the minimum value */
-    if(out > minVal2)
-    {
-      /* Update the minimum value and its index */
-      out = minVal2;
-      outIndex = count + 4u;
-    }
-
-    count += 4u;
-
-    blkCnt--;
-  }
-
-  /* if (blockSize - 1u ) is not multiple of 4 */
-  blkCnt = (blockSize - 1u) % 4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  float32_t minVal1, out;                        /* Temporary variables to store the output value. */
-  uint32_t blkCnt, outIndex;                     /* loop counter */
-
-  /* Initialise the index value to zero. */
-  outIndex = 0u;
-  /* Load first input value that act as reference value for comparision */
-  out = *pSrc++;
-
-  blkCnt = (blockSize - 1u);
-
-#endif //      #ifndef ARM_MATH_CM0
-
-  while(blkCnt > 0)
-  {
-    /* Initialize minVal to the next consecutive values one by one */
-    minVal1 = *pSrc++;
-
-    /* compare for the minimum value */
-    if(out > minVal1)
-    {
-      /* Update the minimum value and it's index */
-      out = minVal1;
-      outIndex = blockSize - blkCnt;
-    }
-
-    blkCnt--;
-
-  }
-
-  /* Store the minimum value and it's index into destination pointers */
-  *pResult = out;
-  *pIndex = outIndex;
-}
-
-/**    
- * @} end of Min group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_min_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_min_q15.c
deleted file mode 100644
index 35b67bb1e..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_min_q15.c
+++ /dev/null
@@ -1,169 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_min_q15.c    
-*    
-* Description:	Minimum value of a Q15 vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-
-/**    
- * @addtogroup Min    
- * @{    
- */
-
-
-/**    
- * @brief Minimum value of a Q15 vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult minimum value returned here    
- * @param[out]      *pIndex index of minimum value returned here    
- * @return none.    
- *    
- */
-
-void arm_min_q15(
-  q15_t * pSrc,
-  uint32_t blockSize,
-  q15_t * pResult,
-  uint32_t * pIndex)
-{
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  q15_t minVal1, minVal2, out;                   /* Temporary variables to store the output value. */
-  uint32_t blkCnt, outIndex, count;              /* loop counter */
-
-  /* Initialise the count value. */
-  count = 0u;
-  /* Initialise the index value to zero. */
-  outIndex = 0u;
-  /* Load first input value that act as reference value for comparision */
-  out = *pSrc++;
-
-  /* Loop unrolling */
-  blkCnt = (blockSize - 1u) >> 2u;
-
-  while(blkCnt > 0)
-  {
-    /* Initialize minVal to the next consecutive values one by one */
-    minVal1 = *pSrc++;
-    minVal2 = *pSrc++;
-
-    /* compare for the minimum value */
-    if(out > minVal1)
-    {
-      /* Update the minimum value and its index */
-      out = minVal1;
-      outIndex = count + 1u;
-    }
-
-    minVal1 = *pSrc++;
-
-    /* compare for the minimum value */
-    if(out > minVal2)
-    {
-      /* Update the minimum value and its index */
-      out = minVal2;
-      outIndex = count + 2u;
-    }
-
-    minVal2 = *pSrc++;
-
-    /* compare for the minimum value */
-    if(out > minVal1)
-    {
-      /* Update the minimum value and its index */
-      out = minVal1;
-      outIndex = count + 3u;
-    }
-
-    /* compare for the minimum value */
-    if(out > minVal2)
-    {
-      /* Update the minimum value and its index */
-      out = minVal2;
-      outIndex = count + 4u;
-    }
-
-    count += 4u;
-
-    blkCnt--;
-  }
-
-  /* if (blockSize - 1u ) is not multiple of 4 */
-  blkCnt = (blockSize - 1u) % 4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  q15_t minVal1, out;                            /* Temporary variables to store the output value. */
-  uint32_t blkCnt, outIndex;                     /* loop counter */
-
-  blkCnt = (blockSize - 1u);
-
-  /* Initialise the index value to zero. */
-  outIndex = 0u;
-  /* Load first input value that act as reference value for comparision */
-  out = *pSrc++;
-
-#endif //      #ifndef ARM_MATH_CM0
-
-  while(blkCnt > 0)
-  {
-    /* Initialize minVal to the next consecutive values one by one */
-    minVal1 = *pSrc++;
-
-    /* compare for the minimum value */
-    if(out > minVal1)
-    {
-      /* Update the minimum value and it's index */
-      out = minVal1;
-      outIndex = blockSize - blkCnt;
-    }
-
-    blkCnt--;
-
-  }
-
-
-
-  /* Store the minimum value and its index into destination pointers */
-  *pResult = out;
-  *pIndex = outIndex;
-}
-
-/**    
- * @} end of Min group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_min_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_min_q31.c
deleted file mode 100644
index 4a9befc75..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_min_q31.c
+++ /dev/null
@@ -1,168 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_min_q31.c    
-*    
-* Description:	Minimum value of a Q31 vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-
-/**    
- * @addtogroup Min    
- * @{    
- */
-
-
-/**    
- * @brief Minimum value of a Q31 vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult minimum value returned here    
- * @param[out]      *pIndex index of minimum value returned here    
- * @return none.    
- *    
- */
-
-void arm_min_q31(
-  q31_t * pSrc,
-  uint32_t blockSize,
-  q31_t * pResult,
-  uint32_t * pIndex)
-{
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  q31_t minVal1, minVal2, out;                   /* Temporary variables to store the output value. */
-  uint32_t blkCnt, outIndex, count;              /* loop counter */
-
-  /* Initialise the count value. */
-  count = 0u;
-  /* Initialise the index value to zero. */
-  outIndex = 0u;
-  /* Load first input value that act as reference value for comparision */
-  out = *pSrc++;
-
-
-  /* Loop unrolling */
-  blkCnt = (blockSize - 1u) >> 2u;
-
-  while(blkCnt > 0)
-  {
-    /* Initialize minVal to the next consecutive values one by one */
-    minVal1 = *pSrc++;
-    minVal2 = *pSrc++;
-
-    /* compare for the minimum value */
-    if(out > minVal1)
-    {
-      /* Update the minimum value and its index */
-      out = minVal1;
-      outIndex = count + 1u;
-    }
-
-    minVal1 = *pSrc++;
-
-    /* compare for the minimum value */
-    if(out > minVal2)
-    {
-      /* Update the minimum value and its index */
-      out = minVal2;
-      outIndex = count + 2u;
-    }
-
-    minVal2 = *pSrc++;
-
-    /* compare for the minimum value */
-    if(out > minVal1)
-    {
-      /* Update the minimum value and its index */
-      out = minVal1;
-      outIndex = count + 3u;
-    }
-
-    /* compare for the minimum value */
-    if(out > minVal2)
-    {
-      /* Update the minimum value and its index */
-      out = minVal2;
-      outIndex = count + 4u;
-    }
-
-    count += 4u;
-
-    blkCnt--;
-  }
-
-  /* if (blockSize - 1u ) is not multiple of 4 */
-  blkCnt = (blockSize - 1u) % 4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  q31_t minVal1, out;                            /* Temporary variables to store the output value. */
-  uint32_t blkCnt, outIndex;                     /* loop counter */
-
-  blkCnt = (blockSize - 1u);
-
-  /* Initialise the index value to zero. */
-  outIndex = 0u;
-  /* Load first input value that act as reference value for comparision */
-  out = *pSrc++;
-
-#endif //      #ifndef ARM_MATH_CM0
-
-  while(blkCnt > 0)
-  {
-    /* Initialize minVal to the next consecutive values one by one */
-    minVal1 = *pSrc++;
-
-    /* compare for the minimum value */
-    if(out > minVal1)
-    {
-      /* Update the minimum value and it's index */
-      out = minVal1;
-      outIndex = blockSize - blkCnt;
-    }
-
-    blkCnt--;
-
-  }
-
-  /* Store the minimum value and its index into destination pointers */
-  *pResult = out;
-  *pIndex = outIndex;
-}
-
-/**    
- * @} end of Min group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_min_q7.c b/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_min_q7.c
deleted file mode 100644
index aaf8ad9ff..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_min_q7.c
+++ /dev/null
@@ -1,170 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_min_q7.c    
-*    
-* Description:	Minimum value of a Q7 vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @addtogroup Min    
- * @{    
- */
-
-
-/**    
- * @brief Minimum value of a Q7 vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult minimum value returned here    
- * @param[out]      *pIndex index of minimum value returned here    
- * @return none.    
- *    
- */
-
-void arm_min_q7(
-  q7_t * pSrc,
-  uint32_t blockSize,
-  q7_t * pResult,
-  uint32_t * pIndex)
-{
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q7_t minVal1, minVal2, out;                    /* Temporary variables to store the output value. */
-  uint32_t blkCnt, outIndex, count;              /* loop counter */
-
-  /* Initialise the count value. */
-  count = 0u;
-  /* Initialise the index value to zero. */
-  outIndex = 0u;
-  /* Load first input value that act as reference value for comparision */
-  out = *pSrc++;
-
-  /* Loop unrolling */
-  blkCnt = (blockSize - 1u) >> 2u;
-
-  while(blkCnt > 0)
-  {
-    /* Initialize minVal to the next consecutive values one by one */
-    minVal1 = *pSrc++;
-    minVal2 = *pSrc++;
-
-    /* compare for the minimum value */
-    if(out > minVal1)
-    {
-      /* Update the minimum value and its index */
-      out = minVal1;
-      outIndex = count + 1u;
-    }
-
-    minVal1 = *pSrc++;
-
-    /* compare for the minimum value */
-    if(out > minVal2)
-    {
-      /* Update the minimum value and its index */
-      out = minVal2;
-      outIndex = count + 2u;
-    }
-
-    minVal2 = *pSrc++;
-
-    /* compare for the minimum value */
-    if(out > minVal1)
-    {
-      /* Update the minimum value and its index */
-      out = minVal1;
-      outIndex = count + 3u;
-    }
-
-    /* compare for the minimum value */
-    if(out > minVal2)
-    {
-      /* Update the minimum value and its index */
-      out = minVal2;
-      outIndex = count + 4u;
-    }
-
-    count += 4u;
-
-    blkCnt--;
-  }
-
-  /* if (blockSize - 1u ) is not multiple of 4 */
-  blkCnt = (blockSize - 1u) % 4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  q7_t minVal1, out;                             /* Temporary variables to store the output value. */
-  uint32_t blkCnt, outIndex;                     /* loop counter */
-
-  /* Initialise the index value to zero. */
-  outIndex = 0u;
-  /* Load first input value that act as reference value for comparision */
-  out = *pSrc++;
-
-  blkCnt = (blockSize - 1u);
-
-#endif //      #ifndef ARM_MATH_CM0
-
-  while(blkCnt > 0)
-  {
-    /* Initialize minVal to the next consecutive values one by one */
-    minVal1 = *pSrc++;
-
-    /* compare for the minimum value */
-    if(out > minVal1)
-    {
-      /* Update the minimum value and it's index */
-      out = minVal1;
-      outIndex = blockSize - blkCnt;
-    }
-
-    blkCnt--;
-
-  }
-
-  /* Store the minimum value and its index into destination pointers */
-  *pResult = out;
-  *pIndex = outIndex;
-
-
-}
-
-/**    
- * @} end of Min group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_power_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_power_f32.c
deleted file mode 100644
index 5ee0060d8..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_power_f32.c
+++ /dev/null
@@ -1,138 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_power_f32.c    
-*    
-* Description:	Sum of the squares of the elements of a floating-point vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @defgroup power Power    
- *    
- * Calculates the sum of the squares of the elements in the input vector.    
- * The underlying algorithm is used:    
- *    
- * 
    
- * 	Result = pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + pSrc[2] * pSrc[2] + ... + pSrc[blockSize-1] * pSrc[blockSize-1];    
- * 
    
- *   
- * There are separate functions for floating point, Q31, Q15, and Q7 data types.     
- */
-
-/**    
- * @addtogroup power    
- * @{    
- */
-
-
-/**    
- * @brief Sum of the squares of the elements of a floating-point vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult sum of the squares value returned here    
- * @return none.    
- *    
- */
-
-
-void arm_power_f32(
-  float32_t * pSrc,
-  uint32_t blockSize,
-  float32_t * pResult)
-{
-  float32_t sum = 0.0f;                          /* accumulator */
-  float32_t in;                                  /* Temporary variable to store input value */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
-    /* Compute Power and then store the result in a temporary variable, sum. */
-    in = *pSrc++;
-    sum += in * in;
-    in = *pSrc++;
-    sum += in * in;
-    in = *pSrc++;
-    sum += in * in;
-    in = *pSrc++;
-    sum += in * in;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-
-  while(blkCnt > 0u)
-  {
-    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
-    /* compute power and then store the result in a temporary variable, sum. */
-    in = *pSrc++;
-    sum += in * in;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Store the result to the destination */
-  *pResult = sum;
-}
-
-/**    
- * @} end of power group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_power_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_power_q15.c
deleted file mode 100644
index aed06a17a..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_power_q15.c
+++ /dev/null
@@ -1,144 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_power_q15.c    
-*    
-* Description:	Sum of the squares of the elements of a Q15 vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @addtogroup power    
- * @{    
- */
-
-/**    
- * @brief Sum of the squares of the elements of a Q15 vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult sum of the squares value returned here    
- * @return none.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * The function is implemented using a 64-bit internal accumulator.     
- * The input is represented in 1.15 format.   
- * Intermediate multiplication yields a 2.30 format, and this    
- * result is added without saturation to a 64-bit accumulator in 34.30 format.    
- * With 33 guard bits in the accumulator, there is no risk of overflow, and the    
- * full precision of the intermediate multiplication is preserved.    
- * Finally, the return result is in 34.30 format.     
- *    
- */
-
-void arm_power_q15(
-  q15_t * pSrc,
-  uint32_t blockSize,
-  q63_t * pResult)
-{
-  q63_t sum = 0;                                 /* Temporary result storage */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q31_t in32;                                    /* Temporary variable to store input value */
-  q15_t in16;                                    /* Temporary variable to store input value */
-  uint32_t blkCnt;                               /* loop counter */
-
-
-  /* loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
-    /* Compute Power and then store the result in a temporary variable, sum. */
-    in32 = *__SIMD32(pSrc)++;
-    sum = __SMLALD(in32, in32, sum);
-    in32 = *__SIMD32(pSrc)++;
-    sum = __SMLALD(in32, in32, sum);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
-    /* Compute Power and then store the result in a temporary variable, sum. */
-    in16 = *pSrc++;
-    sum = __SMLALD(in16, in16, sum);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  q15_t in;                                      /* Temporary variable to store input value */
-  uint32_t blkCnt;                               /* loop counter */
-
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
-    /* Compute Power and then store the result in a temporary variable, sum. */
-    in = *pSrc++;
-    sum += ((q31_t) in * in);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  /* Store the results in 34.30 format  */
-  *pResult = sum;
-}
-
-/**    
- * @} end of power group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_power_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_power_q31.c
deleted file mode 100644
index 43f03f757..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_power_q31.c
+++ /dev/null
@@ -1,135 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_power_q31.c    
-*    
-* Description:	Sum of the squares of the elements of a Q31 vector.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @addtogroup power    
- * @{    
- */
-
-/**    
- * @brief Sum of the squares of the elements of a Q31 vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult sum of the squares value returned here    
- * @return none.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * The function is implemented using a 64-bit internal accumulator.    
- * The input is represented in 1.31 format.    
- * Intermediate multiplication yields a 2.62 format, and this    
- * result is truncated to 2.48 format by discarding the lower 14 bits.    
- * The 2.48 result is then added without saturation to a 64-bit accumulator in 16.48 format.    
- * With 15 guard bits in the accumulator, there is no risk of overflow, and the    
- * full precision of the intermediate multiplication is preserved.    
- * Finally, the return result is in 16.48 format.     
- *    
- */
-
-void arm_power_q31(
-  q31_t * pSrc,
-  uint32_t blockSize,
-  q63_t * pResult)
-{
-  q63_t sum = 0;                                 /* Temporary result storage */
-  q31_t in;
-  uint32_t blkCnt;                               /* loop counter */
-
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
-    /* Compute Power then shift intermediate results by 14 bits to maintain 16.48 format and then store the result in a temporary variable sum, providing 15 guard bits. */
-    in = *pSrc++;
-    sum += ((q63_t) in * in) >> 14u;
-
-    in = *pSrc++;
-    sum += ((q63_t) in * in) >> 14u;
-
-    in = *pSrc++;
-    sum += ((q63_t) in * in) >> 14u;
-
-    in = *pSrc++;
-    sum += ((q63_t) in * in) >> 14u;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  while(blkCnt > 0u)
-  {
-    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
-    /* Compute Power and then store the result in a temporary variable, sum. */
-    in = *pSrc++;
-    sum += ((q63_t) in * in) >> 14u;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Store the results in 16.48 format  */
-  *pResult = sum;
-}
-
-/**    
- * @} end of power group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_power_q7.c b/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_power_q7.c
deleted file mode 100644
index 5cb99b4c2..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_power_q7.c
+++ /dev/null
@@ -1,133 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_power_q7.c    
-*    
-* Description:	Sum of the squares of the elements of a Q7 vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @addtogroup power    
- * @{    
- */
-
-/**    
- * @brief Sum of the squares of the elements of a Q7 vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult sum of the squares value returned here    
- * @return none.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * The function is implemented using a 32-bit internal accumulator.     
- * The input is represented in 1.7 format.   
- * Intermediate multiplication yields a 2.14 format, and this    
- * result is added without saturation to an accumulator in 18.14 format.    
- * With 17 guard bits in the accumulator, there is no risk of overflow, and the    
- * full precision of the intermediate multiplication is preserved.    
- * Finally, the return result is in 18.14 format.     
- *    
- */
-
-void arm_power_q7(
-  q7_t * pSrc,
-  uint32_t blockSize,
-  q31_t * pResult)
-{
-  q31_t sum = 0;                                 /* Temporary result storage */
-  q7_t in;                                       /* Temporary variable to store input */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q31_t input1;                                  /* Temporary variable to store packed input */
-  q31_t in1, in2;                                /* Temporary variables to store input */
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* Reading two inputs of pSrc vector and packing */
-    input1 = *__SIMD32(pSrc)++;
-
-    in1 = __SXTB16(__ROR(input1, 8));
-    in2 = __SXTB16(input1);
-
-    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
-    /* calculate power and accumulate to accumulator */
-    sum = __SMLAD(in1, in1, sum);
-    sum = __SMLAD(in2, in2, sum);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  while(blkCnt > 0u)
-  {
-    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
-    /* Compute Power and then store the result in a temporary variable, sum. */
-    in = *pSrc++;
-    sum += ((q15_t) in * in);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Store the result in 18.14 format  */
-  *pResult = sum;
-}
-
-/**    
- * @} end of power group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_rms_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_rms_f32.c
deleted file mode 100644
index 573896ed4..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_rms_f32.c
+++ /dev/null
@@ -1,133 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_rms_f32.c    
-*    
-* Description:	Root mean square value of an array of F32 type    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @defgroup RMS Root mean square (RMS)    
- *    
- *     
- * Calculates the Root Mean Sqaure of the elements in the input vector.    
- * The underlying algorithm is used:    
- *    
- * 
    
- * 	Result = sqrt(((pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + ... + pSrc[blockSize-1] * pSrc[blockSize-1]) / blockSize));    
- * 
    
- *   
- * There are separate functions for floating point, Q31, and Q15 data types.     
- */
-
-/**    
- * @addtogroup RMS    
- * @{    
- */
-
-
-/**    
- * @brief Root Mean Square of the elements of a floating-point vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult rms value returned here    
- * @return none.    
- *    
- */
-
-void arm_rms_f32(
-  float32_t * pSrc,
-  uint32_t blockSize,
-  float32_t * pResult)
-{
-  float32_t sum = 0.0f;                          /* Accumulator */
-  float32_t in;                                  /* Tempoprary variable to store input value */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /* loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
-    /* Compute sum of the squares and then store the result in a temporary variable, sum  */
-    in = *pSrc++;
-    sum += in * in;
-    in = *pSrc++;
-    sum += in * in;
-    in = *pSrc++;
-    sum += in * in;
-    in = *pSrc++;
-    sum += in * in;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  while(blkCnt > 0u)
-  {
-    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
-    /* Compute sum of the squares and then store the results in a temporary variable, sum  */
-    in = *pSrc++;
-    sum += in * in;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Compute Rms and store the result in the destination */
-  arm_sqrt_f32(sum / (float32_t) blockSize, pResult);
-}
-
-/**    
- * @} end of RMS group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_rms_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_rms_q15.c
deleted file mode 100644
index 491c652e7..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_rms_q15.c
+++ /dev/null
@@ -1,153 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_rms_q15.c    
-*    
-* Description:	Root Mean Square of the elements of a Q15 vector.  
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @addtogroup RMS    
- * @{    
- */
-
-/**    
- * @brief Root Mean Square of the elements of a Q15 vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult rms value returned here    
- * @return none.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * The function is implemented using a 64-bit internal accumulator.    
- * The input is represented in 1.15 format.    
- * Intermediate multiplication yields a 2.30 format, and this    
- * result is added without saturation to a 64-bit accumulator in 34.30 format.    
- * With 33 guard bits in the accumulator, there is no risk of overflow, and the    
- * full precision of the intermediate multiplication is preserved.    
- * Finally, the 34.30 result is truncated to 34.15 format by discarding the lower     
- * 15 bits, and then saturated to yield a result in 1.15 format.    
- *    
- */
-
-void arm_rms_q15(
-  q15_t * pSrc,
-  uint32_t blockSize,
-  q15_t * pResult)
-{
-  q63_t sum = 0;                                 /* accumulator */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q31_t in;                                      /* temporary variable to store the input value */
-  q15_t in1;                                     /* temporary variable to store the input value */
-  uint32_t blkCnt;                               /* loop counter */
-
-  /* loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
-    /* Compute sum of the squares and then store the results in a temporary variable, sum */
-    in = *__SIMD32(pSrc)++;
-    sum = __SMLALD(in, in, sum);
-    in = *__SIMD32(pSrc)++;
-    sum = __SMLALD(in, in, sum);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
-    /* Compute sum of the squares and then store the results in a temporary variable, sum */
-    in1 = *pSrc++;
-    sum = __SMLALD(in1, in1, sum);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Truncating and saturating the accumulator to 1.15 format */
-  sum = __SSAT((q31_t) (sum >> 15), 16);
-
-  in1 = (q15_t) (sum / blockSize);
-
-  /* Store the result in the destination */
-  arm_sqrt_q15(in1, pResult);
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  q15_t in;                                      /* temporary variable to store the input value */
-  uint32_t blkCnt;                               /* loop counter */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
-    /* Compute sum of the squares and then store the results in a temporary variable, sum */
-    in = *pSrc++;
-    sum += ((q31_t) in * in);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Truncating and saturating the accumulator to 1.15 format */
-  sum = __SSAT((q31_t) (sum >> 15), 16);
-
-  in = (q15_t) (sum / blockSize);
-
-  /* Store the result in the destination */
-  arm_sqrt_q15(in, pResult);
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-}
-
-/**    
- * @} end of RMS group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_rms_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_rms_q31.c
deleted file mode 100644
index 54038eb12..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_rms_q31.c
+++ /dev/null
@@ -1,146 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_rms_q31.c    
-*    
-* Description:	Root Mean Square of the elements of a Q31 vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**        
- * @addtogroup RMS        
- * @{        
- */
-
-
-/**        
- * @brief Root Mean Square of the elements of a Q31 vector.        
- * @param[in]       *pSrc points to the input vector        
- * @param[in]       blockSize length of the input vector        
- * @param[out]      *pResult rms value returned here        
- * @return none.        
- *        
- * @details        
- * Scaling and Overflow Behavior:        
- *        
- *\par        
- * The function is implemented using an internal 64-bit accumulator.        
- * The input is represented in 1.31 format, and intermediate multiplication        
- * yields a 2.62 format.        
- * The accumulator maintains full precision of the intermediate multiplication results,         
- * but provides only a single guard bit.        
- * There is no saturation on intermediate additions.        
- * If the accumulator overflows, it wraps around and distorts the result.         
- * In order to avoid overflows completely, the input signal must be scaled down by         
- * log2(blockSize) bits, as a total of blockSize additions are performed internally.         
- * Finally, the 2.62 accumulator is right shifted by 31 bits to yield a 1.31 format value.        
- *        
- */
-
-void arm_rms_q31(
-  q31_t * pSrc,
-  uint32_t blockSize,
-  q31_t * pResult)
-{
-  q63_t sum = 0;                                 /* accumulator */
-  q31_t in;                                      /* Temporary variable to store the input */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q31_t in1, in2, in3, in4;                      /* Temporary input variables */
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 8 outputs at a time.        
-   ** a second loop below computes the remaining 1 to 7 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
-    /* Compute sum of the squares and then store the result in a temporary variable, sum */
-    /* read two samples from source buffer */
-    in1 = pSrc[0];
-    in2 = pSrc[1];
-
-    /* calculate power and accumulate to accumulator */
-    sum += (q63_t) in1 *in1;
-    sum += (q63_t) in2 *in2;
-
-    /* read two samples from source buffer */
-    in3 = pSrc[2];
-    in4 = pSrc[3];
-
-    /* calculate power and accumulate to accumulator */
-    sum += (q63_t) in3 *in3;
-    sum += (q63_t) in4 *in4;
-
-
-    /* update source buffer to process next samples */
-    pSrc += 4u;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 8, compute any remaining output samples here.        
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  while(blkCnt > 0u)
-  {
-    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
-    /* Compute sum of the squares and then store the results in a temporary variable, sum */
-    in = *pSrc++;
-    sum += (q63_t) in *in;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Convert data in 2.62 to 1.31 by 31 right shifts and saturate */
-
-  sum = __SSAT(sum >> 31, 31);
-
-
-  /* Compute Rms and store the result in the destination vector */
-  arm_sqrt_q31((q31_t) ((q31_t) sum / (int32_t) blockSize), pResult);
-}
-
-/**        
- * @} end of RMS group        
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_std_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_std_f32.c
deleted file mode 100644
index 6442d5c29..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_std_f32.c
+++ /dev/null
@@ -1,188 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_std_f32.c    
-*    
-* Description:	Standard deviation of the elements of a floating-point vector.  
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @defgroup STD Standard deviation    
- *    
- * Calculates the standard deviation of the elements in the input vector.     
- * The underlying algorithm is used:    
- *   
- * 
    
- * 	Result = sqrt((sumOfSquares - sum2 / blockSize) / (blockSize - 1))   
- *   
- *	   where, sumOfSquares = pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + ... + pSrc[blockSize-1] * pSrc[blockSize-1]   
- *   
- *	                   sum = pSrc[0] + pSrc[1] + pSrc[2] + ... + pSrc[blockSize-1]   
- * 
   
- *    
- * There are separate functions for floating point, Q31, and Q15 data types.    
- */
-
-/**    
- * @addtogroup STD    
- * @{    
- */
-
-
-/**    
- * @brief Standard deviation of the elements of a floating-point vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult standard deviation value returned here    
- * @return none.    
- *    
- */
-
-
-void arm_std_f32(
-  float32_t * pSrc,
-  uint32_t blockSize,
-  float32_t * pResult)
-{
-  float32_t sum = 0.0f;                          /* Temporary result storage */
-  float32_t sumOfSquares = 0.0f;                 /* Sum of squares */
-  float32_t in;                                  /* input value */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  float32_t meanOfSquares, mean, squareOfMean;
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1])  */
-    /* Compute Sum of squares of the input samples    
-     * and then store the result in a temporary variable, sum. */
-    in = *pSrc++;
-    sum += in;
-    sumOfSquares += in * in;
-    in = *pSrc++;
-    sum += in;
-    sumOfSquares += in * in;
-    in = *pSrc++;
-    sum += in;
-    sumOfSquares += in * in;
-    in = *pSrc++;
-    sum += in;
-    sumOfSquares += in * in;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
-    /* Compute Sum of squares of the input samples    
-     * and then store the result in a temporary variable, sum. */
-    in = *pSrc++;
-    sum += in;
-    sumOfSquares += in * in;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Compute Mean of squares of the input samples    
-   * and then store the result in a temporary variable, meanOfSquares. */
-  meanOfSquares = sumOfSquares / ((float32_t) blockSize - 1.0f);
-
-  /* Compute mean of all input values */
-  mean = sum / (float32_t) blockSize;
-
-  /* Compute square of mean */
-  squareOfMean = (mean * mean) * (((float32_t) blockSize) /
-                                  ((float32_t) blockSize - 1.0f));
-
-  /* Compute standard deviation and then store the result to the destination */
-  arm_sqrt_f32((meanOfSquares - squareOfMean), pResult);
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  float32_t squareOfSum;                         /* Square of Sum */
-  float32_t var;                                 /* Temporary varaince storage */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
-    /* Compute Sum of squares of the input samples     
-     * and then store the result in a temporary variable, sumOfSquares. */
-    in = *pSrc++;
-    sumOfSquares += in * in;
-
-    /* C = (A[0] + A[1] + ... + A[blockSize-1]) */
-    /* Compute Sum of the input samples     
-     * and then store the result in a temporary variable, sum. */
-    sum += in;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Compute the square of sum */
-  squareOfSum = ((sum * sum) / (float32_t) blockSize);
-
-  /* Compute the variance */
-  var = ((sumOfSquares - squareOfSum) / (float32_t) (blockSize - 1.0f));
-
-  /* Compute standard deviation and then store the result to the destination */
-  arm_sqrt_f32(var, pResult);
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-}
-
-/**    
- * @} end of STD group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_std_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_std_q15.c
deleted file mode 100644
index 2d1a49a50..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_std_q15.c
+++ /dev/null
@@ -1,197 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_std_q15.c    
-*    
-* Description:	Standard deviation of an array of Q15 type.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @addtogroup STD    
- * @{    
- */
-
-/**    
- * @brief Standard deviation of the elements of a Q15 vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult standard deviation value returned here    
- * @return none.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * The function is implemented using a 64-bit internal accumulator.    
- * The input is represented in 1.15 format.   
- * Intermediate multiplication yields a 2.30 format, and this    
- * result is added without saturation to a 64-bit accumulator in 34.30 format.    
- * With 33 guard bits in the accumulator, there is no risk of overflow, and the    
- * full precision of the intermediate multiplication is preserved.    
- * Finally, the 34.30 result is truncated to 34.15 format by discarding the lower     
- * 15 bits, and then saturated to yield a result in 1.15 format.    
- */
-
-void arm_std_q15(
-  q15_t * pSrc,
-  uint32_t blockSize,
-  q15_t * pResult)
-{
-  q31_t sum = 0;                                 /* Accumulator */
-  q31_t meanOfSquares, squareOfMean;             /* square of mean and mean of square */
-  q15_t mean;                                    /* mean */
-  uint32_t blkCnt;                               /* loop counter */
-  q15_t t;                                       /* Temporary variable */
-  q63_t sumOfSquares = 0;                        /* Accumulator */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q31_t in;                                      /* input value */
-  q15_t in1;                                     /* input value */
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1])  */
-    /* Compute Sum of squares of the input samples    
-     * and then store the result in a temporary variable, sum. */
-    in = *__SIMD32(pSrc)++;
-    sum += ((in << 16) >> 16);
-    sum += (in >> 16);
-    sumOfSquares = __SMLALD(in, in, sumOfSquares);
-    in = *__SIMD32(pSrc)++;
-    sum += ((in << 16) >> 16);
-    sum += (in >> 16);
-    sumOfSquares = __SMLALD(in, in, sumOfSquares);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
-    /* Compute Sum of squares of the input samples    
-     * and then store the result in a temporary variable, sum. */
-    in1 = *pSrc++;
-    sumOfSquares = __SMLALD(in1, in1, sumOfSquares);
-    sum += in1;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Compute Mean of squares of the input samples    
-   * and then store the result in a temporary variable, meanOfSquares. */
-  t = (q15_t) ((1.0 / (blockSize - 1)) * 16384LL);
-  sumOfSquares = __SSAT((sumOfSquares >> 15u), 16u);
-
-  meanOfSquares = (q31_t) ((sumOfSquares * t) >> 14u);
-
-  /* Compute mean of all input values */
-  t = (q15_t) ((1.0 / (blockSize * (blockSize - 1))) * 32768LL);
-  mean = (q15_t) __SSAT(sum, 16u);
-
-  /* Compute square of mean */
-  squareOfMean = ((q31_t) mean * mean) >> 15;
-  squareOfMean = (q31_t) (((q63_t) squareOfMean * t) >> 15);
-
-  /* mean of the squares minus the square of the mean. */
-  in1 = (q15_t) (meanOfSquares - squareOfMean);
-
-  /* Compute standard deviation and store the result to the destination */
-  arm_sqrt_q15(in1, pResult);
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  q15_t in;                                      /* input value */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
-    /* Compute Sum of squares of the input samples     
-     * and then store the result in a temporary variable, sumOfSquares. */
-    in = *pSrc++;
-    sumOfSquares += (in * in);
-
-    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
-    /* Compute sum of all input values and then store the result in a temporary variable, sum. */
-    sum += in;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Compute Mean of squares of the input samples     
-   * and then store the result in a temporary variable, meanOfSquares. */
-  t = (q15_t) ((1.0 / (blockSize - 1)) * 16384LL);
-  sumOfSquares = __SSAT((sumOfSquares >> 15u), 16u);
-  meanOfSquares = (q31_t) ((sumOfSquares * t) >> 14u);
-
-  /* Compute mean of all input values */
-  mean = (q15_t) __SSAT(sum, 16u);
-
-  /* Compute square of mean of the input samples   
-   * and then store the result in a temporary variable, squareOfMean.*/
-  t = (q15_t) ((1.0 / (blockSize * (blockSize - 1))) * 32768LL);
-  squareOfMean = ((q31_t) mean * mean) >> 15;
-  squareOfMean = (q31_t) (((q63_t) squareOfMean * t) >> 15);
-
-  /* mean of the squares minus the square of the mean. */
-  in = (q15_t) (meanOfSquares - squareOfMean);
-
-  /* Compute standard deviation and store the result to the destination */
-  arm_sqrt_q15(in, pResult);
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-
-}
-
-/**    
- * @} end of STD group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_std_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_std_q31.c
deleted file mode 100644
index 45bec01a1..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_std_q31.c
+++ /dev/null
@@ -1,184 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_std_q31.c    
-*    
-* Description:	Standard deviation of an array of Q31 type.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @addtogroup STD    
- * @{    
- */
-
-
-/**    
- * @brief Standard deviation of the elements of a Q31 vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult standard deviation value returned here    
- * @return none.    
- * @details    
- * Scaling and Overflow Behavior:    
- *    
- *\par    
- * The function is implemented using an internal 64-bit accumulator.    
- * The input is represented in 1.31 format, and intermediate multiplication    
- * yields a 2.62 format.    
- * The accumulator maintains full precision of the intermediate multiplication results,     
- * but provides only a single guard bit.    
- * There is no saturation on intermediate additions.    
- * If the accumulator overflows it wraps around and distorts the result.    
- * In order to avoid overflows completely the input signal must be scaled down by     
- * log2(blockSize) bits, as a total of blockSize additions are performed internally.     
- * Finally, the 2.62 accumulator is right shifted by 31 bits to yield a 1.31 format value.    
- *    
- */
-
-
-void arm_std_q31(
-  q31_t * pSrc,
-  uint32_t blockSize,
-  q31_t * pResult)
-{
-  q63_t sum = 0;                                 /* Accumulator */
-  q31_t meanOfSquares, squareOfMean;             /* square of mean and mean of square */
-  q31_t mean;                                    /* mean */
-  q31_t in;                                      /* input value */
-  q31_t t;                                       /* Temporary variable */
-  uint32_t blkCnt;                               /* loop counter */
-  q63_t sumOfSquares = 0;                        /* Accumulator */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1])  */
-    /* Compute Sum of squares of the input samples    
-     * and then store the result in a temporary variable, sum. */
-    in = *pSrc++;
-    sum += in;
-    sumOfSquares += ((q63_t) (in) * (in));
-    in = *pSrc++;
-    sum += in;
-    sumOfSquares += ((q63_t) (in) * (in));
-    in = *pSrc++;
-    sum += in;
-    sumOfSquares += ((q63_t) (in) * (in));
-    in = *pSrc++;
-    sum += in;
-    sumOfSquares += ((q63_t) (in) * (in));
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
-    /* Compute Sum of squares of the input samples    
-     * and then store the result in a temporary variable, sum. */
-    in = *pSrc++;
-    sum += in;
-    sumOfSquares += ((q63_t) (in) * (in));
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  t = (q31_t) ((1.0f / (float32_t) (blockSize - 1u)) * 1073741824.0f);
-
-  /* Compute Mean of squares of the input samples    
-   * and then store the result in a temporary variable, meanOfSquares. */
-  sumOfSquares = (sumOfSquares >> 31);
-  meanOfSquares = (q31_t) ((sumOfSquares * t) >> 30);
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
-    /* Compute Sum of squares of the input samples     
-     * and then store the result in a temporary variable, sumOfSquares. */
-    in = *pSrc++;
-    sumOfSquares += ((q63_t) (in) * (in));
-
-    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
-    /* Compute sum of all input values and then store the result in a temporary variable, sum. */
-    sum += in;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Compute Mean of squares of the input samples     
-   * and then store the result in a temporary variable, meanOfSquares. */
-  t = (q31_t) ((1.0f / (float32_t) (blockSize - 1u)) * 1073741824.0f);
-  sumOfSquares = (sumOfSquares >> 31);
-  meanOfSquares = (q31_t) ((sumOfSquares * t) >> 30);
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  /* Compute mean of all input values */
-  t = (q31_t) ((1.0f / (blockSize * (blockSize - 1u))) * 2147483648.0f);
-  mean = (q31_t) (sum);
-
-  /* Compute square of mean */
-  squareOfMean = (q31_t) (((q63_t) mean * mean) >> 31);
-  squareOfMean = (q31_t) (((q63_t) squareOfMean * t) >> 31);
-
-
-  /* Compute standard deviation and then store the result to the destination */
-  arm_sqrt_q31(meanOfSquares - squareOfMean, pResult);
-
-}
-
-/**    
- * @} end of STD group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_var_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_var_f32.c
deleted file mode 100644
index 2adcfb443..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_var_f32.c
+++ /dev/null
@@ -1,184 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_var_f32.c    
-*    
-* Description:	Variance of the elements of a floating-point vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @defgroup variance  Variance    
- *    
- * Calculates the variance of the elements in the input vector.    
- * The underlying algorithm is used:    
- *    
- * 
    
- * 	Result = (sumOfSquares - sum2 / blockSize) / (blockSize - 1)   
- *   
- *	   where, sumOfSquares = pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + ... + pSrc[blockSize-1] * pSrc[blockSize-1]   
- *   
- *	                   sum = pSrc[0] + pSrc[1] + pSrc[2] + ... + pSrc[blockSize-1]   
- * 
   
- *    
- * There are separate functions for floating point, Q31, and Q15 data types.    
- */
-
-/**    
- * @addtogroup variance    
- * @{    
- */
-
-
-/**    
- * @brief Variance of the elements of a floating-point vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult variance value returned here    
- * @return none.    
- *    
- */
-
-
-void arm_var_f32(
-  float32_t * pSrc,
-  uint32_t blockSize,
-  float32_t * pResult)
-{
-
-  float32_t sum = 0.0f;                          /* Temporary result storage */
-  float32_t sumOfSquares = 0.0f;                 /* Sum of squares */
-  float32_t in;                                  /* input value */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  float32_t meanOfSquares, mean, squareOfMean;   /* Temporary variables */
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1])  */
-    /* Compute Sum of squares of the input samples    
-     * and then store the result in a temporary variable, sum. */
-    in = *pSrc++;
-    sum += in;
-    sumOfSquares += in * in;
-    in = *pSrc++;
-    sum += in;
-    sumOfSquares += in * in;
-    in = *pSrc++;
-    sum += in;
-    sumOfSquares += in * in;
-    in = *pSrc++;
-    sum += in;
-    sumOfSquares += in * in;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
-    /* Compute Sum of squares of the input samples    
-     * and then store the result in a temporary variable, sum. */
-    in = *pSrc++;
-    sum += in;
-    sumOfSquares += in * in;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Compute Mean of squares of the input samples    
-   * and then store the result in a temporary variable, meanOfSquares. */
-  meanOfSquares = sumOfSquares / ((float32_t) blockSize - 1.0f);
-
-  /* Compute mean of all input values */
-  mean = sum / (float32_t) blockSize;
-
-  /* Compute square of mean */
-  squareOfMean = (mean * mean) * (((float32_t) blockSize) /
-                                  ((float32_t) blockSize - 1.0f));
-
-  /* Compute variance and then store the result to the destination */
-  *pResult = meanOfSquares - squareOfMean;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  float32_t squareOfSum;                         /* Square of Sum */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
-    /* Compute Sum of squares of the input samples     
-     * and then store the result in a temporary variable, sumOfSquares. */
-    in = *pSrc++;
-    sumOfSquares += in * in;
-
-    /* C = (A[0] + A[1] + ... + A[blockSize-1]) */
-    /* Compute Sum of the input samples     
-     * and then store the result in a temporary variable, sum. */
-    sum += in;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Compute the square of sum */
-  squareOfSum = ((sum * sum) / (float32_t) blockSize);
-
-  /* Compute the variance */
-  *pResult = ((sumOfSquares - squareOfSum) / (float32_t) (blockSize - 1.0f));
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-}
-
-/**    
- * @} end of variance group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_var_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_var_q15.c
deleted file mode 100644
index 08dbc6587..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_var_q15.c
+++ /dev/null
@@ -1,180 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_var_q15.c    
-*    
-* Description:	Variance of an array of Q15 type.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupStats    
- */
-
-/**    
- * @addtogroup variance    
- * @{    
- */
-
-/**    
- * @brief Variance of the elements of a Q15 vector.    
- * @param[in]       *pSrc points to the input vector    
- * @param[in]       blockSize length of the input vector    
- * @param[out]      *pResult variance value returned here    
- * @return none.    
- *    
- * @details    
- * Scaling and Overflow Behavior:    
- *    
- * \par    
- * The function is implemented using a 64-bit internal accumulator.    
- * The input is represented in 1.15 format.   
- * Intermediate multiplication yields a 2.30 format, and this    
- * result is added without saturation to a 64-bit accumulator in 34.30 format.    
- * With 33 guard bits in the accumulator, there is no risk of overflow, and the    
- * full precision of the intermediate multiplication is preserved.    
- * Finally, the 34.30 result is truncated to 34.15 format by discarding the lower     
- * 15 bits, and then saturated to yield a result in 1.15 format.    
- *    
- */
-
-
-void arm_var_q15(
-  q15_t * pSrc,
-  uint32_t blockSize,
-  q31_t * pResult)
-{
-  q31_t sum = 0;                                 /* Accumulator */
-  q31_t meanOfSquares, squareOfMean;             /* Mean of square and square of mean */
-  q15_t mean;                                    /* mean */
-  uint32_t blkCnt;                               /* loop counter */
-  q15_t t;                                       /* Temporary variable */
-  q63_t sumOfSquares = 0;                        /* Accumulator */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q31_t in;                                      /* Input variable */
-  q15_t in1;                                     /* Temporary variable */
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1])  */
-    /* Compute Sum of squares of the input samples    
-     * and then store the result in a temporary variable, sum. */
-    in = *__SIMD32(pSrc)++;
-    sum += ((in << 16) >> 16);
-    sum += (in >> 16);
-    sumOfSquares = __SMLALD(in, in, sumOfSquares);
-    in = *__SIMD32(pSrc)++;
-    sum += ((in << 16) >> 16);
-    sum += (in >> 16);
-    sumOfSquares = __SMLALD(in, in, sumOfSquares);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
-    /* Compute Sum of squares of the input samples    
-     * and then store the result in a temporary variable, sum. */
-    in1 = *pSrc++;
-    sum += in1;
-    sumOfSquares = __SMLALD(in1, in1, sumOfSquares);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Compute Mean of squares of the input samples    
-   * and then store the result in a temporary variable, meanOfSquares. */
-  t = (q15_t) ((1.0f / (float32_t) (blockSize - 1u)) * 16384);
-  sumOfSquares = __SSAT((sumOfSquares >> 15u), 16u);
-
-  meanOfSquares = (q31_t) ((sumOfSquares * t) >> 14u);
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  q15_t in;                                      /* Temporary variable */
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
-    /* Compute Sum of squares of the input samples     
-     * and then store the result in a temporary variable, sumOfSquares. */
-    in = *pSrc++;
-    sumOfSquares += (in * in);
-
-    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
-    /* Compute sum of all input values and then store the result in a temporary variable, sum. */
-    sum += in;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* Compute Mean of squares of the input samples     
-   * and then store the result in a temporary variable, meanOfSquares. */
-  t = (q15_t) ((1.0f / (float32_t) (blockSize - 1u)) * 16384);
-  sumOfSquares = __SSAT((sumOfSquares >> 15u), 16u);
-  meanOfSquares = (q31_t) ((sumOfSquares * t) >> 14u);
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  /* Compute mean of all input values */
-  t = (q15_t) ((1.0f / (float32_t) (blockSize * (blockSize - 1u))) * 32768);
-  mean = __SSAT(sum, 16u);
-
-  /* Compute square of mean */
-  squareOfMean = ((q31_t) mean * mean) >> 15;
-  squareOfMean = (q31_t) (((q63_t) squareOfMean * t) >> 15);
-
-  /* Compute variance and then store the result to the destination */
-  *pResult = (meanOfSquares - squareOfMean);
-
-}
-
-/**    
- * @} end of variance group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_var_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_var_q31.c
deleted file mode 100644
index 13d6c15cb..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/StatisticsFunctions/arm_var_q31.c
+++ /dev/null
@@ -1,170 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_var_q31.c    
-*    
-* Description:	Variance of an array of Q31 type.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**        
- * @ingroup groupStats        
- */
-
-/**        
- * @addtogroup variance        
- * @{        
- */
-
-/**        
- * @brief Variance of the elements of a Q31 vector.        
- * @param[in]       *pSrc points to the input vector        
- * @param[in]       blockSize length of the input vector        
- * @param[out]      *pResult variance value returned here        
- * @return none.        
- *        
- * @details        
- * Scaling and Overflow Behavior:        
- *        
- *\par        
- * The function is implemented using an internal 64-bit accumulator.        
- * The input is represented in 1.31 format, and intermediate multiplication        
- * yields a 2.62 format.        
- * The accumulator maintains full precision of the intermediate multiplication results,         
- * but provides only a single guard bit.        
- * There is no saturation on intermediate additions.        
- * If the accumulator overflows it wraps around and distorts the result.        
- * In order to avoid overflows completely the input signal must be scaled down by         
- * log2(blockSize) bits, as a total of blockSize additions are performed internally.         
- * Finally, the 2.62 accumulator is right shifted by 31 bits to yield a 1.31 format value.        
- *        
- */
-
-
-void arm_var_q31(
-  q31_t * pSrc,
-  uint32_t blockSize,
-  q63_t * pResult)
-{
-  q63_t sum = 0, sumSquare = 0;                  /* Accumulator */
-  q31_t meanOfSquares, squareOfMean;             /* square of mean and mean of square */
-  q31_t mean;                                    /* mean */
-  q31_t in;                                      /* input value */
-  q31_t t;                                       /* Temporary variable */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  q63_t sumSquare1 = 0;                          /* Accumulator */
-  q31_t in1, in2, in3, in4;                      /* Temporary input variables */
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1])  */
-    /* Compute Sum of squares of the input samples        
-     * and then store the result in a temporary variable, sum. */
-    /* read input samples from source buffer */
-    in1 = pSrc[0];
-    in2 = pSrc[1];
-
-    /* calculate sum of inputs */
-    sum += in1;
-    /* calculate sum of squares */
-    sumSquare += ((q63_t) (in1) * (in1));
-    in3 = pSrc[2];
-    sum += in2;
-    sumSquare1 += ((q63_t) (in2) * (in2));
-    in4 = pSrc[3];
-    sum += in3;
-    sumSquare += ((q63_t) (in3) * (in3));
-    sum += in4;
-    sumSquare1 += ((q63_t) (in4) * (in4));
-
-    /* update input pointer to process next samples */
-    pSrc += 4u;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* add two accumulators */
-  sumSquare = sumSquare + sumSquare1;
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  while(blkCnt > 0u)
-  {
-    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
-    /* Compute Sum of squares of the input samples        
-     * and then store the result in a temporary variable, sum. */
-    in = *pSrc++;
-    sumSquare += ((q63_t) (in) * (in));
-    sum += in;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  t = (q31_t) ((1.0f / (float32_t) (blockSize - 1u)) * 1073741824.0f);
-
-  /* Compute Mean of squares of the input samples        
-   * and then store the result in a temporary variable, meanOfSquares. */
-  sumSquare = (sumSquare >> 31);
-  meanOfSquares = (q31_t) ((sumSquare * t) >> 30);
-
-  /* Compute mean of all input values */
-  t = (q31_t) ((1.0f / (blockSize * (blockSize - 1u))) * 2147483648.0f);
-  mean = (q31_t) (sum);
-
-  /* Compute square of mean */
-  squareOfMean = (q31_t) (((q63_t) mean * mean) >> 31);
-  squareOfMean = (q31_t) (((q63_t) squareOfMean * t) >> 31);
-
-  /* Compute variance and then store the result to the destination */
-  *pResult = (q63_t) meanOfSquares - squareOfMean;
-
-}
-
-/**        
- * @} end of variance group        
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_copy_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_copy_f32.c
deleted file mode 100644
index 619c1577a..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_copy_f32.c
+++ /dev/null
@@ -1,130 +0,0 @@
-/* ----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_copy_f32.c    
-*    
-* Description:	Copies the elements of a floating-point vector.  
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @defgroup copy Vector Copy    
- *    
- * Copies sample by sample from source vector to destination vector.    
- *    
- * 
    
- * 	pDst[n] = pSrc[n];   0 <= n < blockSize.    
- * 
    
- *   
- * There are separate functions for floating point, Q31, Q15, and Q7 data types.     
- */
-
-/**    
- * @addtogroup copy    
- * @{    
- */
-
-/**    
- * @brief Copies the elements of a floating-point vector.     
- * @param[in]       *pSrc points to input vector    
- * @param[out]      *pDst points to output vector    
- * @param[in]       blockSize length of the input vector   
- * @return none.    
- *    
- */
-
-
-void arm_copy_f32(
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize)
-{
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  float32_t in1, in2, in3, in4;
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = A */
-    /* Copy and then store the results in the destination buffer */
-    in1 = *pSrc++;
-    in2 = *pSrc++;
-    in3 = *pSrc++;
-    in4 = *pSrc++;
-
-    *pDst++ = in1;
-    *pDst++ = in2;
-    *pDst++ = in3;
-    *pDst++ = in4;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  while(blkCnt > 0u)
-  {
-    /* C = A */
-    /* Copy and then store the results in the destination buffer */
-    *pDst++ = *pSrc++;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-}
-
-/**    
- * @} end of BasicCopy group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_copy_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_copy_q15.c
deleted file mode 100644
index 00be9dc0b..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_copy_q15.c
+++ /dev/null
@@ -1,109 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_copy_q15.c    
-*    
-* Description:	Copies the elements of a Q15 vector.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @addtogroup copy    
- * @{    
- */
-/**    
- * @brief Copies the elements of a Q15 vector.     
- * @param[in]       *pSrc points to input vector    
- * @param[out]      *pDst points to output vector    
- * @param[in]       blockSize length of the input vector   
- * @return none.    
- *    
- */
-
-void arm_copy_q15(
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = A */
-    /* Read two inputs */
-    *__SIMD32(pDst)++ = *__SIMD32(pSrc)++;
-    *__SIMD32(pDst)++ = *__SIMD32(pSrc)++;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  while(blkCnt > 0u)
-  {
-    /* C = A */
-    /* Copy and then store the value in the destination buffer */
-    *pDst++ = *pSrc++;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-}
-
-/**    
- * @} end of BasicCopy group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_copy_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_copy_q31.c
deleted file mode 100644
index 7ab0849f6..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_copy_q31.c
+++ /dev/null
@@ -1,118 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_copy_q31.c    
-*    
-* Description:	Copies the elements of a Q31 vector.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @addtogroup copy    
- * @{    
- */
-
-/**    
- * @brief Copies the elements of a Q31 vector.     
- * @param[in]       *pSrc points to input vector    
- * @param[out]      *pDst points to output vector    
- * @param[in]       blockSize length of the input vector   
- * @return none.    
- *    
- */
-
-void arm_copy_q31(
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize)
-{
-  uint32_t blkCnt;                               /* loop counter */
-
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  q31_t in1, in2, in3, in4;
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = A */
-    /* Copy and then store the values in the destination buffer */
-    in1 = *pSrc++;
-    in2 = *pSrc++;
-    in3 = *pSrc++;
-    in4 = *pSrc++;
-
-    *pDst++ = in1;
-    *pDst++ = in2;
-    *pDst++ = in3;
-    *pDst++ = in4;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  while(blkCnt > 0u)
-  {
-    /* C = A */
-    /* Copy and then store the value in the destination buffer */
-    *pDst++ = *pSrc++;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-}
-
-/**    
- * @} end of BasicCopy group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_copy_q7.c b/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_copy_q7.c
deleted file mode 100644
index 425885753..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_copy_q7.c
+++ /dev/null
@@ -1,110 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_copy_q7.c    
-*    
-* Description:	Copies the elements of a Q7 vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @addtogroup copy    
- * @{    
- */
-
-/**    
- * @brief Copies the elements of a Q7 vector.    
- * @param[in]       *pSrc points to input vector    
- * @param[out]      *pDst points to output vector    
- * @param[in]       blockSize length of the input vector   
- * @return none.    
- *    
- */
-
-void arm_copy_q7(
-  q7_t * pSrc,
-  q7_t * pDst,
-  uint32_t blockSize)
-{
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = A */
-    /* Copy and then store the results in the destination buffer */
-    /* 4 samples are copied and stored at a time using SIMD */
-    *__SIMD32(pDst)++ = *__SIMD32(pSrc)++;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-
-  while(blkCnt > 0u)
-  {
-    /* C = A */
-    /* Copy and then store the results in the destination buffer */
-    *pDst++ = *pSrc++;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-}
-
-/**    
- * @} end of BasicCopy group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_fill_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_fill_f32.c
deleted file mode 100644
index 439e60db0..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_fill_f32.c
+++ /dev/null
@@ -1,129 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_fill_f32.c    
-*    
-* Description:	Fills a constant value into a floating-point vector.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @defgroup Fill Vector Fill    
- *    
- * Fills the destination vector with a constant value.    
- *    
- * 
    
- * 	pDst[n] = value;   0 <= n < blockSize.    
- * 
    
- *   
- * There are separate functions for floating point, Q31, Q15, and Q7 data types.     
- */
-
-/**    
- * @addtogroup Fill    
- * @{    
- */
-
-/**    
- * @brief Fills a constant value into a floating-point vector.     
- * @param[in]       value input value to be filled   
- * @param[out]      *pDst points to output vector    
- * @param[in]       blockSize length of the output vector   
- * @return none.    
- *    
- */
-
-
-void arm_fill_f32(
-  float32_t value,
-  float32_t * pDst,
-  uint32_t blockSize)
-{
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  float32_t in1 = value;
-  float32_t in2 = value;
-  float32_t in3 = value;
-  float32_t in4 = value;
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = value */
-    /* Fill the value in the destination buffer */
-    *pDst++ = in1;
-    *pDst++ = in2;
-    *pDst++ = in3;
-    *pDst++ = in4;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-
-  while(blkCnt > 0u)
-  {
-    /* C = value */
-    /* Fill the value in the destination buffer */
-    *pDst++ = value;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-}
-
-/**    
- * @} end of Fill group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_fill_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_fill_q15.c
deleted file mode 100644
index 8f60d3b4e..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_fill_q15.c
+++ /dev/null
@@ -1,115 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_fill_q15.c    
-*    
-* Description:	Fills a constant value into a Q15 vector.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @addtogroup Fill    
- * @{    
- */
-
-/**    
- * @brief Fills a constant value into a Q15 vector.    
- * @param[in]       value input value to be filled   
- * @param[out]      *pDst points to output vector    
- * @param[in]       blockSize length of the output vector   
- * @return none.    
- *    
- */
-
-void arm_fill_q15(
-  q15_t value,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q31_t packedValue;                             /* value packed to 32 bits */
-
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* Packing two 16 bit values to 32 bit value in order to use SIMD */
-  packedValue = __PKHBT(value, value, 16u);
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = value */
-    /* Fill the value in the destination buffer */
-    *__SIMD32(pDst)++ = packedValue;
-    *__SIMD32(pDst)++ = packedValue;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  while(blkCnt > 0u)
-  {
-    /* C = value */
-    /* Fill the value in the destination buffer */
-    *pDst++ = value;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-}
-
-/**    
- * @} end of Fill group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_fill_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_fill_q31.c
deleted file mode 100644
index 35565c3cf..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_fill_q31.c
+++ /dev/null
@@ -1,116 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_fill_q31.c    
-*    
-* Description:	Fills a constant value into a Q31 vector.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @addtogroup Fill    
- * @{    
- */
-
-/**    
- * @brief Fills a constant value into a Q31 vector.    
- * @param[in]       value input value to be filled   
- * @param[out]      *pDst points to output vector    
- * @param[in]       blockSize length of the output vector   
- * @return none.    
- *    
- */
-
-void arm_fill_q31(
-  q31_t value,
-  q31_t * pDst,
-  uint32_t blockSize)
-{
-  uint32_t blkCnt;                               /* loop counter */
-
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  q31_t in1 = value;
-  q31_t in2 = value;
-  q31_t in3 = value;
-  q31_t in4 = value;
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = value */
-    /* Fill the value in the destination buffer */
-    *pDst++ = in1;
-    *pDst++ = in2;
-    *pDst++ = in3;
-    *pDst++ = in4;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  while(blkCnt > 0u)
-  {
-    /* C = value */
-    /* Fill the value in the destination buffer */
-    *pDst++ = value;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-}
-
-/**    
- * @} end of Fill group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_fill_q7.c b/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_fill_q7.c
deleted file mode 100644
index 481d4c8f7..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_fill_q7.c
+++ /dev/null
@@ -1,113 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_fill_q7.c    
-*    
-* Description:	Fills a constant value into a Q7 vector.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @addtogroup Fill    
- * @{    
- */
-
-/**    
- * @brief Fills a constant value into a Q7 vector.    
- * @param[in]       value input value to be filled   
- * @param[out]      *pDst points to output vector    
- * @param[in]       blockSize length of the output vector   
- * @return none.    
- *    
- */
-
-void arm_fill_q7(
-  q7_t value,
-  q7_t * pDst,
-  uint32_t blockSize)
-{
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q31_t packedValue;                             /* value packed to 32 bits */
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* Packing four 8 bit values to 32 bit value in order to use SIMD */
-  packedValue = __PACKq7(value, value, value, value);
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = value */
-    /* Fill the value in the destination buffer */
-    *__SIMD32(pDst)++ = packedValue;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  while(blkCnt > 0u)
-  {
-    /* C = value */
-    /* Fill the value in the destination buffer */
-    *pDst++ = value;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-}
-
-/**    
- * @} end of Fill group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_float_to_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_float_to_q15.c
deleted file mode 100644
index 1537b93ab..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_float_to_q15.c
+++ /dev/null
@@ -1,196 +0,0 @@
-/* ----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_float_to_q15.c    
-*    
-* Description:	Converts the elements of the floating-point vector to Q15 vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @addtogroup float_to_x    
- * @{    
- */
-
-/**    
- * @brief Converts the elements of the floating-point vector to Q15 vector.    
- * @param[in]       *pSrc points to the floating-point input vector    
- * @param[out]      *pDst points to the Q15 output vector   
- * @param[in]       blockSize length of the input vector    
- * @return none.    
- *    
- * \par Description:    
- * \par   
- * The equation used for the conversion process is:    
- * 
    
- * 	pDst[n] = (q15_t)(pSrc[n] * 32768);   0 <= n < blockSize.    
- * 
    
- * \par Scaling and Overflow Behavior:    
- * \par    
- * The function uses saturating arithmetic.    
- * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated.    
- * \note   
- * In order to apply rounding, the library should be rebuilt with the ROUNDING macro     
- * defined in the preprocessor section of project options.     
- *    
- */
-
-
-void arm_float_to_q15(
-  float32_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-  float32_t *pIn = pSrc;                         /* Src pointer */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifdef ARM_MATH_ROUNDING
-
-  float32_t in;
-
-#endif /*      #ifdef ARM_MATH_ROUNDING        */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-
-#ifdef ARM_MATH_ROUNDING
-    /* C = A * 32768 */
-    /* convert from float to q15 and then store the results in the destination buffer */
-    in = *pIn++;
-    in = (in * 32768.0f);
-    in += in > 0 ? 0.5 : -0.5;
-    *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16));
-
-    in = *pIn++;
-    in = (in * 32768.0f);
-    in += in > 0 ? 0.5 : -0.5;
-    *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16));
-
-    in = *pIn++;
-    in = (in * 32768.0f);
-    in += in > 0 ? 0.5 : -0.5;
-    *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16));
-
-    in = *pIn++;
-    in = (in * 32768.0f);
-    in += in > 0 ? 0.5 : -0.5;
-    *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16));
-
-#else
-
-    /* C = A * 32768 */
-    /* convert from float to q15 and then store the results in the destination buffer */
-    *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16);
-    *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16);
-    *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16);
-    *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16);
-
-#endif /*      #ifdef ARM_MATH_ROUNDING        */
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-
-#ifdef ARM_MATH_ROUNDING
-    /* C = A * 32768 */
-    /* convert from float to q15 and then store the results in the destination buffer */
-    in = *pIn++;
-    in = (in * 32768.0f);
-    in += in > 0 ? 0.5 : -0.5;
-    *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16));
-
-#else
-
-    /* C = A * 32768 */
-    /* convert from float to q15 and then store the results in the destination buffer */
-    *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16);
-
-#endif /*      #ifdef ARM_MATH_ROUNDING        */
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-
-#ifdef ARM_MATH_ROUNDING
-    /* C = A * 32768 */
-    /* convert from float to q15 and then store the results in the destination buffer */
-    in = *pIn++;
-    in = (in * 32768.0f);
-    in += in > 0 ? 0.5f : -0.5f;
-    *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16));
-
-#else
-
-    /* C = A * 32768 */
-    /* convert from float to q15 and then store the results in the destination buffer */
-    *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16);
-
-#endif /*      #ifdef ARM_MATH_ROUNDING        */
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-}
-
-/**    
- * @} end of float_to_x group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_float_to_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_float_to_q31.c
deleted file mode 100644
index 3ab52b9ff..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_float_to_q31.c
+++ /dev/null
@@ -1,203 +0,0 @@
-/* ----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_float_to_q31.c    
-*    
-* Description:	Converts the elements of the floating-point vector to Q31 vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @defgroup float_to_x  Convert 32-bit floating point value    
- */
-
-/**    
- * @addtogroup float_to_x    
- * @{    
- */
-
-/**    
- * @brief Converts the elements of the floating-point vector to Q31 vector.    
- * @param[in]       *pSrc points to the floating-point input vector    
- * @param[out]      *pDst points to the Q31 output vector   
- * @param[in]       blockSize length of the input vector    
- * @return none.    
- *    
- *\par Description:    
- * \par   
- * The equation used for the conversion process is:    
- *   
- * 
    
- * 	pDst[n] = (q31_t)(pSrc[n] * 2147483648);   0 <= n < blockSize.    
- * 
    
- * Scaling and Overflow Behavior:    
- * \par    
- * The function uses saturating arithmetic.    
- * Results outside of the allowable Q31 range[0x80000000 0x7FFFFFFF] will be saturated.    
- *   
- * \note In order to apply rounding, the library should be rebuilt with the ROUNDING macro     
- * defined in the preprocessor section of project options.     
- */
-
-
-void arm_float_to_q31(
-  float32_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize)
-{
-  float32_t *pIn = pSrc;                         /* Src pointer */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifdef ARM_MATH_ROUNDING
-
-  float32_t in;
-
-#endif /*      #ifdef ARM_MATH_ROUNDING        */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-
-#ifdef ARM_MATH_ROUNDING
-
-    /* C = A * 32768 */
-    /* convert from float to Q31 and then store the results in the destination buffer */
-    in = *pIn++;
-    in = (in * 2147483648.0f);
-    in += in > 0 ? 0.5 : -0.5;
-    *pDst++ = clip_q63_to_q31((q63_t) (in));
-
-    in = *pIn++;
-    in = (in * 2147483648.0f);
-    in += in > 0 ? 0.5 : -0.5;
-    *pDst++ = clip_q63_to_q31((q63_t) (in));
-
-    in = *pIn++;
-    in = (in * 2147483648.0f);
-    in += in > 0 ? 0.5 : -0.5;
-    *pDst++ = clip_q63_to_q31((q63_t) (in));
-
-    in = *pIn++;
-    in = (in * 2147483648.0f);
-    in += in > 0 ? 0.5 : -0.5;
-    *pDst++ = clip_q63_to_q31((q63_t) (in));
-
-#else
-
-    /* C = A * 2147483648 */
-    /* convert from float to Q31 and then store the results in the destination buffer */
-    *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f));
-    *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f));
-    *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f));
-    *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f));
-
-#endif /*      #ifdef ARM_MATH_ROUNDING        */
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-
-#ifdef ARM_MATH_ROUNDING
-
-    /* C = A * 2147483648 */
-    /* convert from float to Q31 and then store the results in the destination buffer */
-    in = *pIn++;
-    in = (in * 2147483648.0f);
-    in += in > 0 ? 0.5 : -0.5;
-    *pDst++ = clip_q63_to_q31((q63_t) (in));
-
-#else
-
-    /* C = A * 2147483648 */
-    /* convert from float to Q31 and then store the results in the destination buffer */
-    *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f));
-
-#endif /*      #ifdef ARM_MATH_ROUNDING        */
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-
-#ifdef ARM_MATH_ROUNDING
-
-    /* C = A * 2147483648 */
-    /* convert from float to Q31 and then store the results in the destination buffer */
-    in = *pIn++;
-    in = (in * 2147483648.0f);
-    in += in > 0 ? 0.5f : -0.5f;
-    *pDst++ = clip_q63_to_q31((q63_t) (in));
-
-#else
-
-    /* C = A * 2147483648 */
-    /* convert from float to Q31 and then store the results in the destination buffer */
-    *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f));
-
-#endif /*      #ifdef ARM_MATH_ROUNDING        */
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-}
-
-/**    
- * @} end of float_to_x group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_float_to_q7.c b/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_float_to_q7.c
deleted file mode 100644
index dea14c6a1..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_float_to_q7.c
+++ /dev/null
@@ -1,195 +0,0 @@
-/* ----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_float_to_q7.c    
-*    
-* Description:	Converts the elements of the floating-point vector to Q7 vector.   
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @addtogroup float_to_x    
- * @{    
- */
-
-/**    
- * @brief Converts the elements of the floating-point vector to Q7 vector.    
- * @param[in]       *pSrc points to the floating-point input vector    
- * @param[out]      *pDst points to the Q7 output vector   
- * @param[in]       blockSize length of the input vector    
- * @return none.    
- *    
- *\par Description:    
- * \par   
- * The equation used for the conversion process is:    
- * 
    
- * 	pDst[n] = (q7_t)(pSrc[n] * 128);   0 <= n < blockSize.    
- * 
    
- * \par Scaling and Overflow Behavior:    
- * \par    
- * The function uses saturating arithmetic.    
- * Results outside of the allowable Q7 range [0x80 0x7F] will be saturated.    
- * \note   
- * In order to apply rounding, the library should be rebuilt with the ROUNDING macro     
- * defined in the preprocessor section of project options.     
- */
-
-
-void arm_float_to_q7(
-  float32_t * pSrc,
-  q7_t * pDst,
-  uint32_t blockSize)
-{
-  float32_t *pIn = pSrc;                         /* Src pointer */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifdef ARM_MATH_ROUNDING
-
-  float32_t in;
-
-#endif /*      #ifdef ARM_MATH_ROUNDING        */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-
-#ifdef ARM_MATH_ROUNDING
-    /* C = A * 128 */
-    /* convert from float to q7 and then store the results in the destination buffer */
-    in = *pIn++;
-    in = (in * 128);
-    in += in > 0 ? 0.5 : -0.5;
-    *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8));
-
-    in = *pIn++;
-    in = (in * 128);
-    in += in > 0 ? 0.5 : -0.5;
-    *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8));
-
-    in = *pIn++;
-    in = (in * 128);
-    in += in > 0 ? 0.5 : -0.5;
-    *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8));
-
-    in = *pIn++;
-    in = (in * 128);
-    in += in > 0 ? 0.5 : -0.5;
-    *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8));
-
-#else
-
-    /* C = A * 128 */
-    /* convert from float to q7 and then store the results in the destination buffer */
-    *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8);
-    *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8);
-    *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8);
-    *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8);
-
-#endif /*      #ifdef ARM_MATH_ROUNDING        */
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-  while(blkCnt > 0u)
-  {
-
-#ifdef ARM_MATH_ROUNDING
-    /* C = A * 128 */
-    /* convert from float to q7 and then store the results in the destination buffer */
-    in = *pIn++;
-    in = (in * 128);
-    in += in > 0 ? 0.5 : -0.5;
-    *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8));
-
-#else
-
-    /* C = A * 128 */
-    /* convert from float to q7 and then store the results in the destination buffer */
-    *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8);
-
-#endif /*      #ifdef ARM_MATH_ROUNDING        */
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-  while(blkCnt > 0u)
-  {
-#ifdef ARM_MATH_ROUNDING
-    /* C = A * 128 */
-    /* convert from float to q7 and then store the results in the destination buffer */
-    in = *pIn++;
-    in = (in * 128.0f);
-    in += in > 0 ? 0.5f : -0.5f;
-    *pDst++ = (q7_t) (__SSAT((q31_t) (in), 8));
-
-#else
-
-    /* C = A * 128 */
-    /* convert from float to q7 and then store the results in the destination buffer */
-    *pDst++ = (q7_t) __SSAT((q31_t) (*pIn++ * 128.0f), 8);
-
-#endif /*      #ifdef ARM_MATH_ROUNDING        */
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-}
-
-/**    
- * @} end of float_to_x group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q15_to_float.c b/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q15_to_float.c
deleted file mode 100644
index ce51e9a39..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q15_to_float.c
+++ /dev/null
@@ -1,126 +0,0 @@
-/* ----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_q15_to_float.c    
-*    
-* Description:	Converts the elements of the Q15 vector to floating-point vector.     
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @defgroup q15_to_x  Convert 16-bit Integer value    
- */
-
-/**    
- * @addtogroup q15_to_x    
- * @{    
- */
-
-
-
-
-/**    
- * @brief  Converts the elements of the Q15 vector to floating-point vector.     
- * @param[in]       *pSrc points to the Q15 input vector    
- * @param[out]      *pDst points to the floating-point output vector   
- * @param[in]       blockSize length of the input vector    
- * @return none.    
- *    
- * \par Description:    
- *    
- * The equation used for the conversion process is:    
- *   
- * 
    
- * 	pDst[n] = (float32_t) pSrc[n] / 32768;   0 <= n < blockSize.    
- * 
    
- *   
- */
-
-
-void arm_q15_to_float(
-  q15_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize)
-{
-  q15_t *pIn = pSrc;                             /* Src pointer */
-  uint32_t blkCnt;                               /* loop counter */
-
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (float32_t) A / 32768 */
-    /* convert from q15 to float and then store the results in the destination buffer */
-    *pDst++ = ((float32_t) * pIn++ / 32768.0f);
-    *pDst++ = ((float32_t) * pIn++ / 32768.0f);
-    *pDst++ = ((float32_t) * pIn++ / 32768.0f);
-    *pDst++ = ((float32_t) * pIn++ / 32768.0f);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  while(blkCnt > 0u)
-  {
-    /* C = (float32_t) A / 32768 */
-    /* convert from q15 to float and then store the results in the destination buffer */
-    *pDst++ = ((float32_t) * pIn++ / 32768.0f);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-}
-
-/**    
- * @} end of q15_to_x group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q15_to_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q15_to_q31.c
deleted file mode 100644
index a0f66c29e..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q15_to_q31.c
+++ /dev/null
@@ -1,148 +0,0 @@
-/* ----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_q15_to_q31.c    
-*    
-* Description:	Converts the elements of the Q15 vector to Q31 vector.  
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @addtogroup q15_to_x    
- * @{    
- */
-
-/**    
- * @brief Converts the elements of the Q15 vector to Q31 vector.     
- * @param[in]       *pSrc points to the Q15 input vector    
- * @param[out]      *pDst points to the Q31 output vector   
- * @param[in]       blockSize length of the input vector    
- * @return none.    
- *    
- * \par Description:    
- *    
- * The equation used for the conversion process is:   
- *   
- * 
    
- * 	pDst[n] = (q31_t) pSrc[n] << 16;   0 <= n < blockSize.    
- * 
    
- *   
- */
-
-
-void arm_q15_to_q31(
-  q15_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize)
-{
-  q15_t *pIn = pSrc;                             /* Src pointer */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  q31_t in1, in2;
-  q31_t out1, out2, out3, out4;
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (q31_t)A << 16 */
-    /* convert from q15 to q31 and then store the results in the destination buffer */
-    in1 = *__SIMD32(pIn)++;
-    in2 = *__SIMD32(pIn)++;
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    /* extract lower 16 bits to 32 bit result */
-    out1 = in1 << 16u;
-    /* extract upper 16 bits to 32 bit result */
-    out2 = in1 & 0xFFFF0000;
-    /* extract lower 16 bits to 32 bit result */
-    out3 = in2 << 16u;
-    /* extract upper 16 bits to 32 bit result */
-    out4 = in2 & 0xFFFF0000;
-
-#else
-
-    /* extract upper 16 bits to 32 bit result */
-    out1 = in1 & 0xFFFF0000;
-    /* extract lower 16 bits to 32 bit result */
-    out2 = in1 << 16u;
-    /* extract upper 16 bits to 32 bit result */
-    out3 = in2 & 0xFFFF0000;
-    /* extract lower 16 bits to 32 bit result */
-    out4 = in2 << 16u;
-
-#endif //      #ifndef ARM_MATH_BIG_ENDIAN
-
-    *pDst++ = out1;
-    *pDst++ = out2;
-    *pDst++ = out3;
-    *pDst++ = out4;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  while(blkCnt > 0u)
-  {
-    /* C = (q31_t)A << 16 */
-    /* convert from q15 to q31 and then store the results in the destination buffer */
-    *pDst++ = (q31_t) * pIn++ << 16;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-}
-
-/**    
- * @} end of q15_to_x group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q15_to_q7.c b/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q15_to_q7.c
deleted file mode 100644
index 87fe63d9e..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q15_to_q7.c
+++ /dev/null
@@ -1,146 +0,0 @@
-/* ----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_q15_to_q7.c    
-*    
-* Description:	Converts the elements of the Q15 vector to Q7 vector.  
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @addtogroup q15_to_x    
- * @{    
- */
-
-
-/**    
- * @brief Converts the elements of the Q15 vector to Q7 vector.     
- * @param[in]       *pSrc points to the Q15 input vector    
- * @param[out]      *pDst points to the Q7 output vector   
- * @param[in]       blockSize length of the input vector    
- * @return none.    
- *    
- * \par Description:    
- *    
- * The equation used for the conversion process is:    
- *   
- * 
    
- * 	pDst[n] = (q7_t) pSrc[n] >> 8;   0 <= n < blockSize.    
- * 
   
- *   
- */
-
-
-void arm_q15_to_q7(
-  q15_t * pSrc,
-  q7_t * pDst,
-  uint32_t blockSize)
-{
-  q15_t *pIn = pSrc;                             /* Src pointer */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  q31_t in1, in2;
-  q31_t out1, out2;
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (q7_t) A >> 8 */
-    /* convert from q15 to q7 and then store the results in the destination buffer */
-    in1 = *__SIMD32(pIn)++;
-    in2 = *__SIMD32(pIn)++;
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    out1 = __PKHTB(in2, in1, 16);
-    out2 = __PKHBT(in2, in1, 16);
-
-#else
-
-    out1 = __PKHTB(in1, in2, 16);
-    out2 = __PKHBT(in1, in2, 16);
-
-#endif //      #ifndef ARM_MATH_BIG_ENDIAN
-
-    /* rotate packed value by 24 */
-    out2 = ((uint32_t) out2 << 8) | ((uint32_t) out2 >> 24);
-
-    /* anding with 0xff00ff00 to get two 8 bit values */
-    out1 = out1 & 0xFF00FF00;
-    /* anding with 0x00ff00ff to get two 8 bit values */
-    out2 = out2 & 0x00FF00FF;
-
-    /* oring two values(contains two 8 bit values) to get four packed 8 bit values */
-    out1 = out1 | out2;
-
-    /* store 4 samples at a time to destiantion buffer */
-    *__SIMD32(pDst)++ = out1;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  while(blkCnt > 0u)
-  {
-    /* C = (q7_t) A >> 8 */
-    /* convert from q15 to q7 and then store the results in the destination buffer */
-    *pDst++ = (q7_t) (*pIn++ >> 8);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-}
-
-/**    
- * @} end of q15_to_x group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q31_to_float.c b/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q31_to_float.c
deleted file mode 100644
index 94deec9a1..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q31_to_float.c
+++ /dev/null
@@ -1,123 +0,0 @@
-/* ----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_q31_to_float.c    
-*    
-* Description:	Converts the elements of the Q31 vector to floating-point vector.      
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @defgroup q31_to_x  Convert 32-bit Integer value    
- */
-
-/**    
- * @addtogroup q31_to_x    
- * @{    
- */
-
-/**    
- * @brief Converts the elements of the Q31 vector to floating-point vector.    
- * @param[in]       *pSrc points to the Q31 input vector    
- * @param[out]      *pDst points to the floating-point output vector   
- * @param[in]       blockSize length of the input vector    
- * @return none.    
- *    
- * \par Description:    
- *    
- * The equation used for the conversion process is:    
- *   
- * 
    
- * 	pDst[n] = (float32_t) pSrc[n] / 2147483648;   0 <= n < blockSize.    
- * 
    
- *   
- */
-
-
-void arm_q31_to_float(
-  q31_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize)
-{
-  q31_t *pIn = pSrc;                             /* Src pointer */
-  uint32_t blkCnt;                               /* loop counter */
-
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (float32_t) A / 2147483648 */
-    /* convert from q31 to float and then store the results in the destination buffer */
-    *pDst++ = ((float32_t) * pIn++ / 2147483648.0f);
-    *pDst++ = ((float32_t) * pIn++ / 2147483648.0f);
-    *pDst++ = ((float32_t) * pIn++ / 2147483648.0f);
-    *pDst++ = ((float32_t) * pIn++ / 2147483648.0f);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  while(blkCnt > 0u)
-  {
-    /* C = (float32_t) A / 2147483648 */
-    /* convert from q31 to float and then store the results in the destination buffer */
-    *pDst++ = ((float32_t) * pIn++ / 2147483648.0f);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-}
-
-/**    
- * @} end of q31_to_x group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q31_to_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q31_to_q15.c
deleted file mode 100644
index ba79f85a1..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q31_to_q15.c
+++ /dev/null
@@ -1,137 +0,0 @@
-/* ----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_q31_to_q15.c    
-*    
-* Description:	Converts the elements of the Q31 vector to Q15 vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @addtogroup q31_to_x    
- * @{    
- */
-
-/**    
- * @brief Converts the elements of the Q31 vector to Q15 vector.    
- * @param[in]       *pSrc points to the Q31 input vector    
- * @param[out]      *pDst points to the Q15 output vector   
- * @param[in]       blockSize length of the input vector    
- * @return none.    
- *     
- * \par Description:    
- *    
- * The equation used for the conversion process is:    
- *   
- * 
    
- * 	pDst[n] = (q15_t) pSrc[n] >> 16;   0 <= n < blockSize.    
- * 
    
- *   
- */
-
-
-void arm_q31_to_q15(
-  q31_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-  q31_t *pIn = pSrc;                             /* Src pointer */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  q31_t in1, in2, in3, in4;
-  q31_t out1, out2;
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (q15_t) A >> 16 */
-    /* convert from q31 to q15 and then store the results in the destination buffer */
-    in1 = *pIn++;
-    in2 = *pIn++;
-    in3 = *pIn++;
-    in4 = *pIn++;
-
-    /* pack two higher 16-bit values from two 32-bit values */
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    out1 = __PKHTB(in2, in1, 16);
-    out2 = __PKHTB(in4, in3, 16);
-
-#else
-
-    out1 = __PKHTB(in1, in2, 16);
-    out2 = __PKHTB(in3, in4, 16);
-
-#endif //      #ifdef ARM_MATH_BIG_ENDIAN
-
-    *__SIMD32(pDst)++ = out1;
-    *__SIMD32(pDst)++ = out2;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  while(blkCnt > 0u)
-  {
-    /* C = (q15_t) A >> 16 */
-    /* convert from q31 to q15 and then store the results in the destination buffer */
-    *pDst++ = (q15_t) (*pIn++ >> 16);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-}
-
-/**    
- * @} end of q31_to_x group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q31_to_q7.c b/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q31_to_q7.c
deleted file mode 100644
index afc8fdbed..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q31_to_q7.c
+++ /dev/null
@@ -1,128 +0,0 @@
-/* ----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_q31_to_q7.c    
-*    
-* Description:	Converts the elements of the Q31 vector to Q7 vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @addtogroup q31_to_x    
- * @{    
- */
-
-/**    
- * @brief Converts the elements of the Q31 vector to Q7 vector.    
- * @param[in]       *pSrc points to the Q31 input vector    
- * @param[out]      *pDst points to the Q7 output vector   
- * @param[in]       blockSize length of the input vector    
- * @return none.    
- *    
- * \par Description:    
- *    
- * The equation used for the conversion process is:    
- *   
- * 
    
- * 	pDst[n] = (q7_t) pSrc[n] >> 24;   0 <= n < blockSize.     
- * 
    
- *   
- */
-
-
-void arm_q31_to_q7(
-  q31_t * pSrc,
-  q7_t * pDst,
-  uint32_t blockSize)
-{
-  q31_t *pIn = pSrc;                             /* Src pointer */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-  q31_t in1, in2, in3, in4;
-  q7_t out1, out2, out3, out4;
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (q7_t) A >> 24 */
-    /* convert from q31 to q7 and then store the results in the destination buffer */
-    in1 = *pIn++;
-    in2 = *pIn++;
-    in3 = *pIn++;
-    in4 = *pIn++;
-
-    out1 = (q7_t) (in1 >> 24);
-    out2 = (q7_t) (in2 >> 24);
-    out3 = (q7_t) (in3 >> 24);
-    out4 = (q7_t) (in4 >> 24);
-
-    *__SIMD32(pDst)++ = __PACKq7(out1, out2, out3, out4);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  while(blkCnt > 0u)
-  {
-    /* C = (q7_t) A >> 24 */
-    /* convert from q31 to q7 and then store the results in the destination buffer */
-    *pDst++ = (q7_t) (*pIn++ >> 24);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-}
-
-/**    
- * @} end of q31_to_x group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q7_to_float.c b/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q7_to_float.c
deleted file mode 100644
index be4ac5fe3..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q7_to_float.c
+++ /dev/null
@@ -1,123 +0,0 @@
-/* ----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_q7_to_float.c    
-*    
-* Description:	Converts the elements of the Q7 vector to floating-point vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @defgroup q7_to_x  Convert 8-bit Integer value    
- */
-
-/**    
- * @addtogroup q7_to_x    
- * @{    
- */
-
-/**    
- * @brief Converts the elements of the Q7 vector to floating-point vector.    
- * @param[in]       *pSrc points to the Q7 input vector    
- * @param[out]      *pDst points to the floating-point output vector   
- * @param[in]       blockSize length of the input vector    
- * @return none.    
- *		     
- * \par Description:    
- *    
- * The equation used for the conversion process is:    
- *   
- * 
    
- * 	pDst[n] = (float32_t) pSrc[n] / 128;   0 <= n < blockSize.    
- * 
    
- *   
- */
-
-
-void arm_q7_to_float(
-  q7_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize)
-{
-  q7_t *pIn = pSrc;                              /* Src pointer */
-  uint32_t blkCnt;                               /* loop counter */
-
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (float32_t) A / 128 */
-    /* convert from q7 to float and then store the results in the destination buffer */
-    *pDst++ = ((float32_t) * pIn++ / 128.0f);
-    *pDst++ = ((float32_t) * pIn++ / 128.0f);
-    *pDst++ = ((float32_t) * pIn++ / 128.0f);
-    *pDst++ = ((float32_t) * pIn++ / 128.0f);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  while(blkCnt > 0u)
-  {
-    /* C = (float32_t) A / 128 */
-    /* convert from q7 to float and then store the results in the destination buffer */
-    *pDst++ = ((float32_t) * pIn++ / 128.0f);
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-}
-
-/**    
- * @} end of q7_to_x group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q7_to_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q7_to_q15.c
deleted file mode 100644
index 019ca4815..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q7_to_q15.c
+++ /dev/null
@@ -1,149 +0,0 @@
-/* ----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_q7_to_q15.c    
-*    
-* Description:	Converts the elements of the Q7 vector to Q15 vector.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @addtogroup q7_to_x    
- * @{    
- */
-
-
-
-
-/**    
- * @brief Converts the elements of the Q7 vector to Q15 vector.    
- * @param[in]       *pSrc points to the Q7 input vector    
- * @param[out]      *pDst points to the Q15 output vector   
- * @param[in]       blockSize length of the input vector    
- * @return none.    
- *    
- * \par Description:    
- *    
- * The equation used for the conversion process is:    
- *   
- * 
    
- * 	pDst[n] = (q15_t) pSrc[n] << 8;   0 <= n < blockSize.    
- * 
    
- *   
- */
-
-
-void arm_q7_to_q15(
-  q7_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize)
-{
-  q7_t *pIn = pSrc;                              /* Src pointer */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0
-  q31_t in;
-  q31_t in1, in2;
-  q31_t out1, out2;
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (q15_t) A << 8 */
-    /* convert from q7 to q15 and then store the results in the destination buffer */
-    in = *__SIMD32(pIn)++;
-
-    /* rotatate in by 8 and extend two q7_t values to q15_t values */
-    in1 = __SXTB16(__ROR(in, 8));
-
-    /* extend remainig two q7_t values to q15_t values */
-    in2 = __SXTB16(in);
-
-    in1 = in1 << 8u;
-    in2 = in2 << 8u;
-
-    in1 = in1 & 0xFF00FF00;
-    in2 = in2 & 0xFF00FF00;
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    out2 = __PKHTB(in1, in2, 16);
-    out1 = __PKHBT(in2, in1, 16);
-
-#else
-
-    out1 = __PKHTB(in1, in2, 16);
-    out2 = __PKHBT(in2, in1, 16);
-
-#endif
-
-    *__SIMD32(pDst)++ = out1;
-    *__SIMD32(pDst)++ = out2;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  while(blkCnt > 0u)
-  {
-    /* C = (q15_t) A << 8 */
-    /* convert from q7 to q15 and then store the results in the destination buffer */
-    *pDst++ = (q15_t) * pIn++ << 8;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-}
-
-/**    
- * @} end of q7_to_x group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q7_to_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q7_to_q31.c
deleted file mode 100644
index bbbcc6f4a..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/SupportFunctions/arm_q7_to_q31.c
+++ /dev/null
@@ -1,134 +0,0 @@
-/* ----------------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:		arm_q7_to_q31.c    
-*    
-* Description:	Converts the elements of the Q7 vector to Q31 vector.  
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* ---------------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupSupport    
- */
-
-/**    
- * @addtogroup q7_to_x    
- * @{    
- */
-
-/**    
- * @brief Converts the elements of the Q7 vector to Q31 vector.    
- * @param[in]       *pSrc points to the Q7 input vector    
- * @param[out]      *pDst points to the Q31 output vector   
- * @param[in]       blockSize length of the input vector    
- * @return none.    
- *    
- * \par Description:    
- *    
- * The equation used for the conversion process is:    
- *   
- * 
    
- * 	pDst[n] = (q31_t) pSrc[n] << 24;   0 <= n < blockSize.   
- * 
     
- *   
- */
-
-
-void arm_q7_to_q31(
-  q7_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize)
-{
-  q7_t *pIn = pSrc;                              /* Src pointer */
-  uint32_t blkCnt;                               /* loop counter */
-
-#ifndef ARM_MATH_CM0
-
-  q31_t in;
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /*loop Unrolling */
-  blkCnt = blockSize >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  while(blkCnt > 0u)
-  {
-    /* C = (q31_t) A << 24 */
-    /* convert from q7 to q31 and then store the results in the destination buffer */
-    in = *__SIMD32(pIn)++;
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    *pDst++ = (__ROR(in, 8)) & 0xFF000000;
-    *pDst++ = (__ROR(in, 16)) & 0xFF000000;
-    *pDst++ = (__ROR(in, 24)) & 0xFF000000;
-    *pDst++ = (in & 0xFF000000);
-
-#else
-
-    *pDst++ = (in & 0xFF000000);
-    *pDst++ = (__ROR(in, 24)) & 0xFF000000;
-    *pDst++ = (__ROR(in, 16)) & 0xFF000000;
-    *pDst++ = (__ROR(in, 8)) & 0xFF000000;
-
-#endif //              #ifndef ARM_MATH_BIG_ENDIAN
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  blkCnt = blockSize % 0x4u;
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Loop over blockSize number of values */
-  blkCnt = blockSize;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-  while(blkCnt > 0u)
-  {
-    /* C = (q31_t) A << 24 */
-    /* convert from q7 to q31 and then store the results in the destination buffer */
-    *pDst++ = (q31_t) * pIn++ << 24;
-
-    /* Decrement the loop counter */
-    blkCnt--;
-  }
-
-}
-
-/**    
- * @} end of q7_to_x group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_bitreversal.c b/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_bitreversal.c
deleted file mode 100644
index 3da790ebb..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_bitreversal.c
+++ /dev/null
@@ -1,222 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_bitreversal.c    
-*    
-* Description:	This file has common tables like Bitreverse, reciprocal etc which are used across different functions    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Initial Version  
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-#include "arm_common_tables.h"
-
-/*    
- * @brief  In-place bit reversal function.   
- * @param[in, out] *pSrc        points to the in-place buffer of floating-point data type.   
- * @param[in]      fftSize      length of the FFT.   
- * @param[in]      bitRevFactor bit reversal modifier that supports different size FFTs with the same bit reversal table.   
- * @param[in]      *pBitRevTab  points to the bit reversal table.   
- * @return none.   
- */
-
-void arm_bitreversal_f32(
-  float32_t * pSrc,
-  uint16_t fftSize,
-  uint16_t bitRevFactor,
-  uint16_t * pBitRevTab)
-{
-  uint16_t fftLenBy2, fftLenBy2p1;
-  uint16_t i, j;
-  float32_t in;
-
-  /*  Initializations */
-  j = 0u;
-  fftLenBy2 = fftSize >> 1u;
-  fftLenBy2p1 = (fftSize >> 1u) + 1u;
-
-  /* Bit Reversal Implementation */
-  for (i = 0u; i <= (fftLenBy2 - 2u); i += 2u)
-  {
-    if(i < j)
-    {
-      /*  pSrc[i] <-> pSrc[j]; */
-      in = pSrc[2u * i];
-      pSrc[2u * i] = pSrc[2u * j];
-      pSrc[2u * j] = in;
-
-      /*  pSrc[i+1u] <-> pSrc[j+1u] */
-      in = pSrc[(2u * i) + 1u];
-      pSrc[(2u * i) + 1u] = pSrc[(2u * j) + 1u];
-      pSrc[(2u * j) + 1u] = in;
-
-      /*  pSrc[i+fftLenBy2p1] <-> pSrc[j+fftLenBy2p1] */
-      in = pSrc[2u * (i + fftLenBy2p1)];
-      pSrc[2u * (i + fftLenBy2p1)] = pSrc[2u * (j + fftLenBy2p1)];
-      pSrc[2u * (j + fftLenBy2p1)] = in;
-
-      /*  pSrc[i+fftLenBy2p1+1u] <-> pSrc[j+fftLenBy2p1+1u] */
-      in = pSrc[(2u * (i + fftLenBy2p1)) + 1u];
-      pSrc[(2u * (i + fftLenBy2p1)) + 1u] =
-        pSrc[(2u * (j + fftLenBy2p1)) + 1u];
-      pSrc[(2u * (j + fftLenBy2p1)) + 1u] = in;
-
-    }
-
-    /*  pSrc[i+1u] <-> pSrc[j+1u] */
-    in = pSrc[2u * (i + 1u)];
-    pSrc[2u * (i + 1u)] = pSrc[2u * (j + fftLenBy2)];
-    pSrc[2u * (j + fftLenBy2)] = in;
-
-    /*  pSrc[i+2u] <-> pSrc[j+2u] */
-    in = pSrc[(2u * (i + 1u)) + 1u];
-    pSrc[(2u * (i + 1u)) + 1u] = pSrc[(2u * (j + fftLenBy2)) + 1u];
-    pSrc[(2u * (j + fftLenBy2)) + 1u] = in;
-
-    /*  Reading the index for the bit reversal */
-    j = *pBitRevTab;
-
-    /*  Updating the bit reversal index depending on the fft length  */
-    pBitRevTab += bitRevFactor;
-  }
-}
-
-
-
-/*    
- * @brief  In-place bit reversal function.   
- * @param[in, out] *pSrc        points to the in-place buffer of Q31 data type.   
- * @param[in]      fftLen       length of the FFT.   
- * @param[in]      bitRevFactor bit reversal modifier that supports different size FFTs with the same bit reversal table   
- * @param[in]      *pBitRevTab  points to bit reversal table.   
- * @return none.   
- */
-
-void arm_bitreversal_q31(
-  q31_t * pSrc,
-  uint32_t fftLen,
-  uint16_t bitRevFactor,
-  uint16_t * pBitRevTable)
-{
-  uint32_t fftLenBy2, fftLenBy2p1, i, j;
-  q31_t in;
-
-  /*  Initializations      */
-  j = 0u;
-  fftLenBy2 = fftLen / 2u;
-  fftLenBy2p1 = (fftLen / 2u) + 1u;
-
-  /* Bit Reversal Implementation */
-  for (i = 0u; i <= (fftLenBy2 - 2u); i += 2u)
-  {
-    if(i < j)
-    {
-      /*  pSrc[i] <-> pSrc[j]; */
-      in = pSrc[2u * i];
-      pSrc[2u * i] = pSrc[2u * j];
-      pSrc[2u * j] = in;
-
-      /*  pSrc[i+1u] <-> pSrc[j+1u] */
-      in = pSrc[(2u * i) + 1u];
-      pSrc[(2u * i) + 1u] = pSrc[(2u * j) + 1u];
-      pSrc[(2u * j) + 1u] = in;
-
-      /*  pSrc[i+fftLenBy2p1] <-> pSrc[j+fftLenBy2p1] */
-      in = pSrc[2u * (i + fftLenBy2p1)];
-      pSrc[2u * (i + fftLenBy2p1)] = pSrc[2u * (j + fftLenBy2p1)];
-      pSrc[2u * (j + fftLenBy2p1)] = in;
-
-      /*  pSrc[i+fftLenBy2p1+1u] <-> pSrc[j+fftLenBy2p1+1u] */
-      in = pSrc[(2u * (i + fftLenBy2p1)) + 1u];
-      pSrc[(2u * (i + fftLenBy2p1)) + 1u] =
-        pSrc[(2u * (j + fftLenBy2p1)) + 1u];
-      pSrc[(2u * (j + fftLenBy2p1)) + 1u] = in;
-
-    }
-
-    /*  pSrc[i+1u] <-> pSrc[j+1u] */
-    in = pSrc[2u * (i + 1u)];
-    pSrc[2u * (i + 1u)] = pSrc[2u * (j + fftLenBy2)];
-    pSrc[2u * (j + fftLenBy2)] = in;
-
-    /*  pSrc[i+2u] <-> pSrc[j+2u] */
-    in = pSrc[(2u * (i + 1u)) + 1u];
-    pSrc[(2u * (i + 1u)) + 1u] = pSrc[(2u * (j + fftLenBy2)) + 1u];
-    pSrc[(2u * (j + fftLenBy2)) + 1u] = in;
-
-    /*  Reading the index for the bit reversal */
-    j = *pBitRevTable;
-
-    /*  Updating the bit reversal index depending on the fft length */
-    pBitRevTable += bitRevFactor;
-  }
-}
-
-
-
-/*    
-   * @brief  In-place bit reversal function.   
-   * @param[in, out] *pSrc        points to the in-place buffer of Q15 data type.   
-   * @param[in]      fftLen       length of the FFT.   
-   * @param[in]      bitRevFactor bit reversal modifier that supports different size FFTs with the same bit reversal table   
-   * @param[in]      *pBitRevTab  points to bit reversal table.   
-   * @return none.   
- */
-
-void arm_bitreversal_q15(
-  q15_t * pSrc16,
-  uint32_t fftLen,
-  uint16_t bitRevFactor,
-  uint16_t * pBitRevTab)
-{
-  q31_t *pSrc = (q31_t *) pSrc16;
-  q31_t in;
-  uint32_t fftLenBy2, fftLenBy2p1;
-  uint32_t i, j;
-
-  /*  Initializations */
-  j = 0u;
-  fftLenBy2 = fftLen / 2u;
-  fftLenBy2p1 = (fftLen / 2u) + 1u;
-
-  /* Bit Reversal Implementation */
-  for (i = 0u; i <= (fftLenBy2 - 2u); i += 2u)
-  {
-    if(i < j)
-    {
-      /*  pSrc[i] <-> pSrc[j]; */
-      /*  pSrc[i+1u] <-> pSrc[j+1u] */
-      in = pSrc[i];
-      pSrc[i] = pSrc[j];
-      pSrc[j] = in;
-
-      /*  pSrc[i + fftLenBy2p1] <-> pSrc[j + fftLenBy2p1];  */
-      /*  pSrc[i + fftLenBy2p1+1u] <-> pSrc[j + fftLenBy2p1+1u] */
-      in = pSrc[i + fftLenBy2p1];
-      pSrc[i + fftLenBy2p1] = pSrc[j + fftLenBy2p1];
-      pSrc[j + fftLenBy2p1] = in;
-    }
-
-    /*  pSrc[i+1u] <-> pSrc[j+fftLenBy2];         */
-    /*  pSrc[i+2] <-> pSrc[j+fftLenBy2+1u]  */
-    in = pSrc[i + 1u];
-    pSrc[i + 1u] = pSrc[j + fftLenBy2];
-    pSrc[j + fftLenBy2] = in;
-
-    /*  Reading the index for the bit reversal */
-    j = *pBitRevTab;
-
-    /*  Updating the bit reversal index depending on the fft length  */
-    pBitRevTab += bitRevFactor;
-  }
-}
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_f32.c
deleted file mode 100644
index 274b69928..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_f32.c
+++ /dev/null
@@ -1,511 +0,0 @@
-/* ----------------------------------------------------------------------   
-* Copyright (C) 2010 ARM Limited. All rights reserved.   
-*   
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*   
-* Project: 	    CMSIS DSP Library   
-* Title:	    arm_cfft_radix2_f32.c   
-*   
-* Description:	Radix-2 Decimation in Frequency CFFT & CIFFT Floating point processing function   
-*   
-*   
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.3 2010/11/29  
-*    Initial version   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**   
- * @ingroup groupTransforms   
- */
-
-/**   
- * @defgroup Radix2_CFFT_CIFFT Radix-2 Complex FFT Functions   
- *   
- * \par   
- * Complex Fast Fourier Transform(CFFT) and Complex Inverse Fast Fourier Transform(CIFFT) is an efficient algorithm to compute Discrete Fourier Transform(DFT) and Inverse Discrete Fourier Transform(IDFT).   
- * Computational complexity of CFFT reduces drastically when compared to DFT.   
- * \par   
- * This set of functions implements CFFT/CIFFT   
- * for Q15, Q31, and floating-point data types.  The functions operates on in-place buffer which uses same buffer for input and output.   
- * Complex input is stored in input buffer in an interleaved fashion.   
- *   
- * \par   
- * The functions operate on blocks of input and output data and each call to the function processes   
- * 2*fftLen samples through the transform.  pSrc  points to In-place arrays containing 2*fftLen values.   
- * \par  
- * The pSrc points to the array of in-place buffer of size 2*fftLen and inputs and outputs are stored in an interleaved fashion as shown below.   
- * 
 {real[0], imag[0], real[1], imag[1],..} 
   
- *   
- * \par Lengths supported by the transform:  
- * \par   
- * Internally, the function utilize a radix-2 decimation in frequency(DIF) algorithm   
- * and the size of the FFT supported are of the lengths [16, 32, 64, 128, 256, 512, 1024, 2048, 4096].  
- *    
- *   
- * \par Algorithm:   
- *   
- * Complex Fast Fourier Transform:   
- * \par    
- * Input real and imaginary data:   
- * 
   
- * x(n) = xa + j * ya   
- * x(n+N/2 ) = xb + j * yb   
- * 
   
- * where N is length of FFT   
- * \par   
- * Output real and imaginary data:   
- * 
   
- * X(2r) = xa'+ j * ya'   
- * X(2r+1) = xb'+ j * yb'   
- * 
   
- * \par   
- * Twiddle factors for radix-2 FFT:   
- * 
   
- * Wn = cosVal + j * (- sinVal)   
- * 
   
- *   
- * \par   
- * \image html CFFT_Radix2.gif "Radix-2 Decimation-in Frequency Complex Fast Fourier Transform"   
- *   
- * \par   
- * Output from Radix-2 CFFT Results in Digit reversal order. Interchange middle two branches of every butterfly results in Bit reversed output.   
- * \par   
- *  Butterfly CFFT equations:   
- * 
   
- * xa' = xa + xb  
- * ya' = ya + yb  
- * xb' = (xa-xb)* cosVal + (ya-yb) * sinVal   
- * yb' = (ya-yb)* cosVal - (xa-xb) * sinVal   
- * 
   
- *   
- *   
- * Complex Inverse Fast Fourier Transform:   
- * \par   
- * CIFFT uses same twiddle factor table as CFFT with modifications in the design equation as shown below.   
- *   
- * \par   
- *  Modified Butterfly CIFFT equations:   
- * 
   
- * xa' = xa + xb  
- * ya' = ya + yb  
- * xb' = (xa-xb)* cosVal - (ya-yb) * sinVal   
- * yb' = (ya-yb)* cosVal + (xa-xb) * sinVal   
- * 
   
- *   
- * \par Instance Structure   
- * A separate instance structure must be defined for each Instance but the twiddle factors and bit reversal tables can be reused.   
- * There are separate instance structure declarations for each of the 3 supported data types.   
- *   
- * \par Initialization Functions   
- * There is also an associated initialization function for each data type.   
- * The initialization function performs the following operations:   
- * - Sets the values of the internal structure fields.   
- * - Initializes twiddle factor table and bit reversal table pointers   
- * \par   
- * Use of the initialization function is optional.   
- * However, if the initialization function is used, then the instance structure cannot be placed into a const data section.   
- * To place an instance structure into a const data section, the instance structure must be manually initialized.   
- * Manually initialize the instance structure as follows:   
- * 
   
- *arm_cfft_radix2_instance_f32 S = {fftLen, ifftFlag, bitReverseFlag, pTwiddle, pBitRevTable, twidCoefModifier, bitRevFactor, onebyfftLen};   
- *arm_cfft_radix2_instance_q31 S = {fftLen, ifftFlag, bitReverseFlag, pTwiddle, pBitRevTable, twidCoefModifier, bitRevFactor};   
- *arm_cfft_radix2_instance_q15 S = {fftLen, ifftFlag, bitReverseFlag, pTwiddle, pBitRevTable, twidCoefModifier, bitRevFactor};   
- * 
   
- * \par   
- * where fftLen length of CFFT/CIFFT; ifftFlag Flag for selection of CFFT or CIFFT(Set ifftFlag to calculate CIFFT otherwise calculates CFFT);   
- * bitReverseFlag Flag for selection of output order(Set bitReverseFlag to output in normal order otherwise output in bit reversed order);    
- * pTwiddlepoints to array of twiddle coefficients; pBitRevTable points to the array of bit reversal table.   
- * twidCoefModifier modifier for twiddle factor table which supports all FFT lengths with same table;    
- * pBitRevTable modifier for bit reversal table which supports all FFT lengths with same table.   
- * onebyfftLen value of 1/fftLen to calculate CIFFT;   
- *  
- * \par Fixed-Point Behavior   
- * Care must be taken when using the fixed-point versions of the CFFT/CIFFT function.   
- * Refer to the function specific documentation below for usage guidelines.   
- */
-
-
-/**   
- * @addtogroup Radix2_CFFT_CIFFT   
- * @{   
- */
-
-/**   
- * @details   
- * @brief Processing function for the floating-point Radix-2 CFFT/CIFFT.  
- * @param[in]      *S    points to an instance of the floating-point Radix-2 CFFT/CIFFT structure.  
- * @param[in, out] *pSrc points to the complex data buffer of size 2*fftLen. Processing occurs in-place.  
- * @return none.  
- */
-
-void arm_cfft_radix2_f32(
-  const arm_cfft_radix2_instance_f32 * S,
-  float32_t * pSrc)
-{
-
-  if(S->ifftFlag == 1u)
-  {
-    /*  Complex IFFT radix-2  */
-    arm_radix2_butterfly_inverse_f32(pSrc, S->fftLen, S->pTwiddle,
-                                     S->twidCoefModifier, S->onebyfftLen);
-  }
-  else
-  {
-    /*  Complex FFT radix-2  */
-    arm_radix2_butterfly_f32(pSrc, S->fftLen, S->pTwiddle,
-                             S->twidCoefModifier);
-  }
-
-  if(S->bitReverseFlag == 1u)
-  {
-    /*  Bit Reversal */
-    arm_bitreversal_f32(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable);
-  }
-
-}
-
-
-/**    
- * @} end of Radix2_CFFT_CIFFT group    
- */
-
-
-
-/* ----------------------------------------------------------------------    
-** Internal helper function used by the FFTs    
-** ------------------------------------------------------------------- */
-
-/*    
- * @brief  Core function for the floating-point CFFT butterfly process.   
- * @param[in, out] *pSrc            points to the in-place buffer of floating-point data type.   
- * @param[in]      fftLen           length of the FFT.   
- * @param[in]      *pCoef           points to the twiddle coefficient buffer.   
- * @param[in]      twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
- * @return none.   
- */
-
-void arm_radix2_butterfly_f32(
-  float32_t * pSrc,
-  uint32_t fftLen,
-  float32_t * pCoef,
-  uint16_t twidCoefModifier)
-{
-
-  int i, j, k, l;
-  int n1, n2, ia;
-  float32_t xt, yt, cosVal, sinVal;
-
-#ifndef ARM_MATH_CM0
-
-  /*  Initializations for the first stage */
-  n2 = fftLen;
-
-  n1 = n2;
-  n2 = n2 >> 1;
-  ia = 0;
-
-  // loop for groups 
-  for (i = 0; i < n2; i++)
-  {
-    cosVal = pCoef[ia * 2];
-    sinVal = pCoef[(ia * 2) + 1];
-
-    /*  Twiddle coefficients index modifier */
-    ia = ia + twidCoefModifier;
-
-    /*  index calculation for the input as, */
-    /*  pSrc[i + 0], pSrc[i + fftLen/1] */
-    l = i + n2;
-
-    /*  Butterfly implementation */
-    xt = pSrc[2 * i] - pSrc[2 * l];
-    pSrc[2 * i] = pSrc[2 * i] + pSrc[2 * l];
-
-    yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
-    pSrc[2 * i + 1] = pSrc[2 * l + 1] + pSrc[2 * i + 1];
-
-    pSrc[2u * l] = xt * cosVal + yt * sinVal;
-
-    pSrc[2u * l + 1u] = yt * cosVal - xt * sinVal;
-
-  }                             // groups loop end 
-
-  twidCoefModifier = twidCoefModifier << 1u;
-
-  // loop for stage 
-  for (k = fftLen / 2; k > 2; k = k >> 1)
-  {
-    n1 = n2;
-    n2 = n2 >> 1;
-    ia = 0;
-
-    // loop for groups 
-    for (j = 0; j < n2; j++)
-    {
-      cosVal = pCoef[ia * 2];
-      sinVal = pCoef[(ia * 2) + 1];
-      ia = ia + twidCoefModifier;
-
-      // loop for butterfly 
-      for (i = j; i < fftLen; i += n1)
-      {
-        l = i + n2;
-        xt = pSrc[2 * i] - pSrc[2 * l];
-        pSrc[2 * i] = pSrc[2 * i] + pSrc[2 * l];
-
-        yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
-        pSrc[2 * i + 1] = pSrc[2 * l + 1] + pSrc[2 * i + 1];
-
-        pSrc[2u * l] = xt * cosVal + yt * sinVal;
-
-        pSrc[2u * l + 1u] = yt * cosVal - xt * sinVal;
-
-      }                         // butterfly loop end 
-
-    }                           // groups loop end 
-
-    twidCoefModifier = twidCoefModifier << 1u;
-  }                             // stages loop end 
-
-  n1 = n2;
-  n2 = n2 >> 1;
-  ia = 0;
-
-  cosVal = pCoef[ia * 2];
-  sinVal = pCoef[(ia * 2) + 1];
-  ia = ia + twidCoefModifier;
-
-  // loop for butterfly 
-  for (i = 0; i < fftLen; i += n1)
-  {
-    l = i + n2;
-    xt = pSrc[2 * i] - pSrc[2 * l];
-    pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
-
-    yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
-    pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
-
-    pSrc[2u * l] = xt;
-
-    pSrc[2u * l + 1u] = yt;
-
-  }                             // groups loop end 
-
-#else
-
-  //N = fftLen; 
-  n2 = fftLen;
-
-  // loop for stage 
-  for (k = fftLen; k > 1; k = k >> 1)
-  {
-    n1 = n2;
-    n2 = n2 >> 1;
-    ia = 0;
-
-    // loop for groups 
-    for (j = 0; j < n2; j++)
-    {
-      cosVal = pCoef[ia * 2];
-      sinVal = pCoef[(ia * 2) + 1];
-      ia = ia + twidCoefModifier;
-
-      // loop for butterfly 
-      for (i = j; i < fftLen; i += n1)
-      {
-        l = i + n2;
-        xt = pSrc[2 * i] - pSrc[2 * l];
-        pSrc[2 * i] = pSrc[2 * i] + pSrc[2 * l];
-
-        yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
-        pSrc[2 * i + 1] = pSrc[2 * l + 1] + pSrc[2 * i + 1];
-
-        pSrc[2 * l] = (cosVal * xt + sinVal * yt);      // >> 15; 
-        pSrc[2 * l + 1] = (cosVal * yt - sinVal * xt);  // >> 15; 
-
-      }
-    }
-    twidCoefModifier = twidCoefModifier << 1u;
-  }
-
-#endif //    #ifndef ARM_MATH_CM0
-
-}
-
-
-void arm_radix2_butterfly_inverse_f32(
-  float32_t * pSrc,
-  uint32_t fftLen,
-  float32_t * pCoef,
-  uint16_t twidCoefModifier,
-  float32_t onebyfftLen)
-{
-
-  int i, j, k, l;
-  int n1, n2, ia;
-  float32_t xt, yt, cosVal, sinVal;
-
-#ifndef ARM_MATH_CM0
-
-  //N = fftLen; 
-  n2 = fftLen;
-
-  n1 = n2;
-  n2 = n2 >> 1;
-  ia = 0;
-
-  // loop for groups 
-  for (i = 0; i < n2; i++)
-  {
-    cosVal = pCoef[ia * 2];
-    sinVal = pCoef[(ia * 2) + 1];
-    ia = ia + twidCoefModifier;
-
-    l = i + n2;
-    xt = pSrc[2 * i] - pSrc[2 * l];
-    pSrc[2 * i] = pSrc[2 * i] + pSrc[2 * l];
-
-    yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
-    pSrc[2 * i + 1] = pSrc[2 * l + 1] + pSrc[2 * i + 1];
-
-    pSrc[2u * l] = xt * cosVal - yt * sinVal;
-
-    pSrc[2u * l + 1u] = yt * cosVal + xt * sinVal;
-
-  }                             // groups loop end 
-
-  twidCoefModifier = twidCoefModifier << 1u;
-
-  // loop for stage 
-  for (k = fftLen / 2; k > 2; k = k >> 1)
-  {
-    n1 = n2;
-    n2 = n2 >> 1;
-    ia = 0;
-
-    // loop for groups 
-    for (j = 0; j < n2; j++)
-    {
-      cosVal = pCoef[ia * 2];
-      sinVal = pCoef[(ia * 2) + 1];
-      ia = ia + twidCoefModifier;
-
-      // loop for butterfly 
-      for (i = j; i < fftLen; i += n1)
-      {
-        l = i + n2;
-        xt = pSrc[2 * i] - pSrc[2 * l];
-        pSrc[2 * i] = pSrc[2 * i] + pSrc[2 * l];
-
-        yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
-        pSrc[2 * i + 1] = pSrc[2 * l + 1] + pSrc[2 * i + 1];
-
-        pSrc[2u * l] = xt * cosVal - yt * sinVal;
-
-        pSrc[2u * l + 1u] = yt * cosVal + xt * sinVal;
-
-      }                         // butterfly loop end 
-
-    }                           // groups loop end 
-
-    twidCoefModifier = twidCoefModifier << 1u;
-  }                             // stages loop end 
-
-  n1 = n2;
-  n2 = n2 >> 1;
-  ia = 0;
-
-  cosVal = pCoef[ia * 2];
-  sinVal = pCoef[(ia * 2) + 1];
-  ia = ia + twidCoefModifier;
-
-  // loop for butterfly 
-  for (i = 0; i < fftLen; i += n1)
-  {
-    l = i + n2;
-    xt = pSrc[2 * i] - pSrc[2 * l];
-    pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) * onebyfftLen;
-
-    yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
-    pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) * onebyfftLen;
-
-    pSrc[2u * l] = xt * onebyfftLen;
-
-    pSrc[2u * l + 1u] = yt * onebyfftLen;
-
-  }                             // butterfly loop end 
-
-#else
-
-  //N = fftLen; 
-  n2 = fftLen;
-
-  // loop for stage 
-  for (k = fftLen; k > 2; k = k >> 1)
-  {
-    n1 = n2;
-    n2 = n2 >> 1;
-    ia = 0;
-
-    // loop for groups 
-    for (j = 0; j < n2; j++)
-    {
-      cosVal = pCoef[ia * 2];
-      sinVal = pCoef[(ia * 2) + 1];
-      ia = ia + twidCoefModifier;
-
-      // loop for butterfly 
-      for (i = j; i < fftLen; i += n1)
-      {
-        l = i + n2;
-        xt = pSrc[2 * i] - pSrc[2 * l];
-        pSrc[2 * i] = pSrc[2 * i] + pSrc[2 * l];
-
-        yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
-        pSrc[2 * i + 1] = pSrc[2 * l + 1] + pSrc[2 * i + 1];
-
-        pSrc[2u * l] = xt * cosVal - yt * sinVal;
-
-        pSrc[2u * l + 1u] = yt * cosVal + xt * sinVal;
-
-      }                         // butterfly loop end 
-
-    }                           // groups loop end 
-
-    twidCoefModifier = twidCoefModifier << 1u;
-  }                             // stages loop end 
-
-  n1 = n2;
-  n2 = n2 >> 1;
-  ia = 0;
-
-  cosVal = pCoef[ia * 2];
-  sinVal = pCoef[(ia * 2) + 1];
-  ia = ia + twidCoefModifier;
-
-  // loop for butterfly 
-  for (i = 0; i < fftLen; i += n1)
-  {
-    l = i + n2;
-    xt = pSrc[2 * i] - pSrc[2 * l];
-    pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) * onebyfftLen;
-
-    yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
-    pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) * onebyfftLen;
-
-    pSrc[2u * l] = xt * onebyfftLen;
-
-    pSrc[2u * l + 1u] = yt * onebyfftLen;
-
-  }                             // butterfly loop end 
-
-#endif //      #ifndef ARM_MATH_CM0
-
-}
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_init_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_init_f32.c
deleted file mode 100644
index a41ed25d2..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_init_f32.c
+++ /dev/null
@@ -1,198 +0,0 @@
-/* ----------------------------------------------------------------------   
-* Copyright (C) 2010 ARM Limited. All rights reserved.   
-*   
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*   
-* Project: 	    CMSIS DSP Library   
-* Title:	    arm_cfft_radix4_init_f32.c   
-*   
-* Description:	Radix-4 Decimation in Frequency Floating-point CFFT & CIFFT Initialization function   
-*   
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.3 2010/11/29  
-*    Re-organized the CMSIS folders and updated documentation.   
-*    
-* Version 1.0.2 2010/11/11   
-*    Documentation updated.    
-*   
-* Version 1.0.1 2010/10/05    
-*    Production release and review comments incorporated.   
-*   
-* Version 1.0.0 2010/09/20    
-*    Production release and review comments incorporated.   
-*   
-* Version 0.0.5  2010/04/26    
-* 	 incorporated review comments and updated with latest CMSIS layer   
-*   
-* Version 0.0.3  2010/03/10    
-*    Initial version   
-* -------------------------------------------------------------------- */
-
-
-#include "arm_math.h"
-#include "arm_common_tables.h"
-
-/**   
- * @ingroup groupTransforms   
- */
-
-/**   
- * @addtogroup Radix2_CFFT_CIFFT   
- * @{   
- */
-
-/**   
-* @brief  Initialization function for the floating-point CFFT/CIFFT.  
-* @param[in,out] *S             points to an instance of the floating-point CFFT/CIFFT structure.  
-* @param[in]     fftLen         length of the FFT.  
-* @param[in]     ifftFlag       flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.  
-* @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.  
-* @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLen is not a supported value.  
-*   
-* \par Description:  
-* \par   
-* The parameter ifftFlag controls whether a forward or inverse transform is computed.   
-* Set(=1) ifftFlag for calculation of CIFFT otherwise  CFFT is calculated  
-* \par   
-* The parameter bitReverseFlag controls whether output is in normal order or bit reversed order.   
-* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.   
-* \par   
-* The parameter fftLen	Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024.   
-* \par   
-* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.   
-*/
-arm_status arm_cfft_radix2_init_f32(
-  arm_cfft_radix2_instance_f32 * S,
-  uint16_t fftLen,
-  uint8_t ifftFlag,
-  uint8_t bitReverseFlag)
-{
-  /*  Initialise the default arm status */
-  arm_status status = ARM_MATH_SUCCESS;
-
-  /*  Initialise the FFT length */
-  S->fftLen = fftLen;
-
-  /*  Initialise the Twiddle coefficient pointer */
-  S->pTwiddle = (float32_t *) twiddleCoef;
-
-  /*  Initialise the Flag for selection of CFFT or CIFFT */
-  S->ifftFlag = ifftFlag;
-
-  /*  Initialise the Flag for calculation Bit reversal or not */
-  S->bitReverseFlag = bitReverseFlag;
-
-  /*  Initializations of structure parameters depending on the FFT length */
-  switch (S->fftLen)
-  {
-
-  case 4096u:
-    /*  Initializations of structure parameters for 4096 point FFT */
-
-    /*  Initialise the twiddle coef modifier value */
-    S->twidCoefModifier = 1u;
-    /*  Initialise the bit reversal table modifier */
-    S->bitRevFactor = 1u;
-    /*  Initialise the bit reversal table pointer */
-    S->pBitRevTable = (uint16_t *) armBitRevTable;
-    /*  Initialise the 1/fftLen Value */
-    S->onebyfftLen = 0.000244140625;
-    break;
-
-  case 2048u:
-    /*  Initializations of structure parameters for 2048 point FFT */
-
-    /*  Initialise the twiddle coef modifier value */
-    S->twidCoefModifier = 2u;
-    /*  Initialise the bit reversal table modifier */
-    S->bitRevFactor = 2u;
-    /*  Initialise the bit reversal table pointer */
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[1];
-    /*  Initialise the 1/fftLen Value */
-    S->onebyfftLen = 0.00048828125;
-    break;
-
-  case 1024u:
-    /*  Initializations of structure parameters for 1024 point FFT */
-
-    /*  Initialise the twiddle coef modifier value */
-    S->twidCoefModifier = 4u;
-    /*  Initialise the bit reversal table modifier */
-    S->bitRevFactor = 4u;
-    /*  Initialise the bit reversal table pointer */
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[3];
-    /*  Initialise the 1/fftLen Value */
-    S->onebyfftLen = 0.0009765625f;
-    break;
-
-  case 512u:
-    /*  Initializations of structure parameters for 512 point FFT */
-
-    /*  Initialise the twiddle coef modifier value */
-    S->twidCoefModifier = 8u;
-    /*  Initialise the bit reversal table modifier */
-    S->bitRevFactor = 8u;
-    /*  Initialise the bit reversal table pointer */
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[7];
-    /*  Initialise the 1/fftLen Value */
-    S->onebyfftLen = 0.001953125;
-    break;
-
-  case 256u:
-    /*  Initializations of structure parameters for 256 point FFT */
-    S->twidCoefModifier = 16u;
-    S->bitRevFactor = 16u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[15];
-    S->onebyfftLen = 0.00390625f;
-    break;
-
-  case 128u:
-    /*  Initializations of structure parameters for 128 point FFT */
-    S->twidCoefModifier = 32u;
-    S->bitRevFactor = 32u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[31];
-    S->onebyfftLen = 0.0078125;
-    break;
-
-  case 64u:
-    /*  Initializations of structure parameters for 64 point FFT */
-    S->twidCoefModifier = 64u;
-    S->bitRevFactor = 64u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[63];
-    S->onebyfftLen = 0.015625f;
-    break;
-
-  case 32u:
-    /*  Initializations of structure parameters for 64 point FFT */
-    S->twidCoefModifier = 128u;
-    S->bitRevFactor = 128u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[127];
-    S->onebyfftLen = 0.03125;
-    break;
-
-  case 16u:
-    /*  Initializations of structure parameters for 16 point FFT */
-    S->twidCoefModifier = 256u;
-    S->bitRevFactor = 256u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[255];
-    S->onebyfftLen = 0.0625f;
-    break;
-
-
-  default:
-    /*  Reporting argument error if fftSize is not valid value */
-    status = ARM_MATH_ARGUMENT_ERROR;
-    break;
-  }
-
-  return (status);
-}
-
-/**   
- * @} end of Radix2_CFFT_CIFFT group   
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_init_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_init_q15.c
deleted file mode 100644
index 86aa149b2..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_init_q15.c
+++ /dev/null
@@ -1,186 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_cfft_radix2_init_q15.c    
-*    
-* Description:	Radix-2 Decimation in Frequency Q15 FFT & IFFT initialization function    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.5  2010/04/26     
-* 	 incorporated review comments and updated with latest CMSIS layer    
-*    
-* Version 0.0.3  2010/03/10     
-*    Initial version    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-#include "arm_common_tables.h"
-
-/**    
- * @ingroup groupTransforms    
- */
-
-
-/**    
- * @addtogroup Radix2_CFFT_CIFFT    
- * @{    
- */
-
-/**   
-* @brief Initialization function for the Q15 CFFT/CIFFT.   
-* @param[in,out] *S             points to an instance of the Q15 CFFT/CIFFT structure.   
-* @param[in]     fftLen         length of the FFT.   
-* @param[in]     ifftFlag       flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.  
-* @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.  
-* @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLen is not a supported value.  
-*   
-* \par Description:  
-* \par   
-* The parameter ifftFlag controls whether a forward or inverse transform is computed.   
-* Set(=1) ifftFlag for calculation of CIFFT otherwise  CFFT is calculated  
-* \par   
-* The parameter bitReverseFlag controls whether output is in normal order or bit reversed order.   
-* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.   
-* \par   
-* The parameter fftLen	Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024.   
-* \par   
-* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.   
-*/
-
-arm_status arm_cfft_radix2_init_q15(
-  arm_cfft_radix2_instance_q15 * S,
-  uint16_t fftLen,
-  uint8_t ifftFlag,
-  uint8_t bitReverseFlag)
-{
-  /*  Initialise the default arm status */
-  arm_status status = ARM_MATH_SUCCESS;
-
-  /*  Initialise the FFT length */
-  S->fftLen = fftLen;
-
-  /*  Initialise the Twiddle coefficient pointer */
-  S->pTwiddle = (q15_t *) twiddleCoefQ15;
-  /*  Initialise the Flag for selection of CFFT or CIFFT */
-  S->ifftFlag = ifftFlag;
-  /*  Initialise the Flag for calculation Bit reversal or not */
-  S->bitReverseFlag = bitReverseFlag;
-
-  /*  Initializations of structure parameters depending on the FFT length */
-  switch (S->fftLen)
-  {
-  case 4096u:
-    /*  Initializations of structure parameters for 4096 point FFT */
-
-    /*  Initialise the twiddle coef modifier value */
-    S->twidCoefModifier = 1u;
-    /*  Initialise the bit reversal table modifier */
-    S->bitRevFactor = 1u;
-    /*  Initialise the bit reversal table pointer */
-    S->pBitRevTable = (uint16_t *) armBitRevTable;
-
-    break;
-
-  case 2048u:
-    /*  Initializations of structure parameters for 2048 point FFT */
-
-    /*  Initialise the twiddle coef modifier value */
-    S->twidCoefModifier = 2u;
-    /*  Initialise the bit reversal table modifier */
-    S->bitRevFactor = 2u;
-    /*  Initialise the bit reversal table pointer */
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[1];
-
-    break;
-
-  case 1024u:
-    /*  Initializations of structure parameters for 1024 point FFT */
-    S->twidCoefModifier = 4u;
-    S->bitRevFactor = 4u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[3];
-
-    break;
-
-  case 512u:
-    /*  Initializations of structure parameters for 512 point FFT */
-    S->twidCoefModifier = 8u;
-    S->bitRevFactor = 8u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[7];
-
-    break;
-
-  case 256u:
-    /*  Initializations of structure parameters for 256 point FFT */
-    S->twidCoefModifier = 16u;
-    S->bitRevFactor = 16u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[15];
-
-    break;
-
-  case 128u:
-    /*  Initializations of structure parameters for 128 point FFT */
-    S->twidCoefModifier = 32u;
-    S->bitRevFactor = 32u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[31];
-
-    break;
-
-  case 64u:
-    /*  Initializations of structure parameters for 64 point FFT */
-    S->twidCoefModifier = 64u;
-    S->bitRevFactor = 64u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[63];
-
-    break;
-
-  case 32u:
-    /*  Initializations of structure parameters for 32 point FFT */
-    S->twidCoefModifier = 128u;
-    S->bitRevFactor = 128u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[127];
-
-    break;
-
-  case 16u:
-    /*  Initializations of structure parameters for 16 point FFT */
-    S->twidCoefModifier = 256u;
-    S->bitRevFactor = 256u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[255];
-
-    break;
-
-  default:
-    /*  Reporting argument error if fftSize is not valid value */
-    status = ARM_MATH_ARGUMENT_ERROR;
-    break;
-  }
-
-  return (status);
-}
-
-/**    
- * @} end of Radix2_CFFT_CIFFT group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_init_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_init_q31.c
deleted file mode 100644
index 29aa9a74b..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_init_q31.c
+++ /dev/null
@@ -1,164 +0,0 @@
-/* ----------------------------------------------------------------------   
-* Copyright (C) 2010 ARM Limited. All rights reserved.   
-*   
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*   
-* Project: 	    CMSIS DSP Library   
-* Title:	    arm_cfft_radix2_init_q31.c   
-*   
-* Description:	Radix-2 Decimation in Frequency Fixed-point CFFT & CIFFT Initialization function   
-*   
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* -------------------------------------------------------------------- */
-
-
-#include "arm_math.h"
-#include "arm_common_tables.h"
-
-/**   
- * @ingroup groupTransforms   
- */
-
-/**   
- * @addtogroup Radix2_CFFT_CIFFT   
- * @{   
- */
-
-
-/**    
-*    
-* @brief  Initialization function for the Q31 CFFT/CIFFT.   
-* @param[in,out] *S             points to an instance of the Q31 CFFT/CIFFT structure.   
-* @param[in]     fftLen         length of the FFT.  
-* @param[in]     ifftFlag       flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.  
-* @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.  
-* @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLen is not a supported value.  
-*   
-* \par Description:  
-* \par   
-* The parameter ifftFlag controls whether a forward or inverse transform is computed.   
-* Set(=1) ifftFlag for calculation of CIFFT otherwise  CFFT is calculated  
-* \par   
-* The parameter bitReverseFlag controls whether output is in normal order or bit reversed order.   
-* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.   
-* \par   
-* The parameter fftLen	Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024.   
-* \par   
-* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.   
-*/
-
-arm_status arm_cfft_radix2_init_q31(
-  arm_cfft_radix2_instance_q31 * S,
-  uint16_t fftLen,
-  uint8_t ifftFlag,
-  uint8_t bitReverseFlag)
-{
-  /*  Initialise the default arm status */
-  arm_status status = ARM_MATH_SUCCESS;
-
-  /*  Initialise the FFT length */
-  S->fftLen = fftLen;
-
-  /*  Initialise the Twiddle coefficient pointer */
-  S->pTwiddle = (q31_t *) twiddleCoefQ31;
-  /*  Initialise the Flag for selection of CFFT or CIFFT */
-  S->ifftFlag = ifftFlag;
-  /*  Initialise the Flag for calculation Bit reversal or not */
-  S->bitReverseFlag = bitReverseFlag;
-
-  /*  Initializations of Instance structure depending on the FFT length */
-  switch (S->fftLen)
-  {
-    /*  Initializations of structure parameters for 4096 point FFT */
-  case 4096u:
-    /*  Initialise the twiddle coef modifier value */
-    S->twidCoefModifier = 1u;
-    /*  Initialise the bit reversal table modifier */
-    S->bitRevFactor = 1u;
-    /*  Initialise the bit reversal table pointer */
-    S->pBitRevTable = (uint16_t *) armBitRevTable;
-    break;
-
-    /*  Initializations of structure parameters for 2048 point FFT */
-  case 2048u:
-    /*  Initialise the twiddle coef modifier value */
-    S->twidCoefModifier = 2u;
-    /*  Initialise the bit reversal table modifier */
-    S->bitRevFactor = 2u;
-    /*  Initialise the bit reversal table pointer */
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[1];
-    break;
-
-    /*  Initializations of structure parameters for 1024 point FFT */
-  case 1024u:
-    /*  Initialise the twiddle coef modifier value */
-    S->twidCoefModifier = 4u;
-    /*  Initialise the bit reversal table modifier */
-    S->bitRevFactor = 4u;
-    /*  Initialise the bit reversal table pointer */
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[3];
-    break;
-
-    /*  Initializations of structure parameters for 512 point FFT */
-  case 512u:
-    /*  Initialise the twiddle coef modifier value */
-    S->twidCoefModifier = 8u;
-    /*  Initialise the bit reversal table modifier */
-    S->bitRevFactor = 8u;
-    /*  Initialise the bit reversal table pointer */
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[7];
-    break;
-
-  case 256u:
-    /*  Initializations of structure parameters for 256 point FFT */
-    S->twidCoefModifier = 16u;
-    S->bitRevFactor = 16u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[15];
-    break;
-
-  case 128u:
-    /*  Initializations of structure parameters for 128 point FFT */
-    S->twidCoefModifier = 32u;
-    S->bitRevFactor = 32u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[31];
-    break;
-
-  case 64u:
-    /*  Initializations of structure parameters for 64 point FFT */
-    S->twidCoefModifier = 64u;
-    S->bitRevFactor = 64u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[63];
-    break;
-
-  case 32u:
-    /*  Initializations of structure parameters for 32 point FFT */
-    S->twidCoefModifier = 128u;
-    S->bitRevFactor = 128u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[127];
-    break;
-
-  case 16u:
-    /*  Initializations of structure parameters for 16 point FFT */
-    S->twidCoefModifier = 256u;
-    S->bitRevFactor = 256u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[255];
-    break;
-
-
-  default:
-    /*  Reporting argument error if fftSize is not valid value */
-    status = ARM_MATH_ARGUMENT_ERROR;
-    break;
-  }
-
-  return (status);
-}
-
-/**   
- * @} end of Radix2_CFFT_CIFFT group   
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_q15.c
deleted file mode 100644
index 00c7420cf..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_q15.c
+++ /dev/null
@@ -1,712 +0,0 @@
-/* ----------------------------------------------------------------------   
-* Copyright (C) 2010 ARM Limited. All rights reserved.   
-*   
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*   
-* Project: 	    CMSIS DSP Library   
-* Title:	    arm_cfft_radix2_q15.c   
-*   
-* Description:	Radix-2 Decimation in Frequency CFFT & CIFFT Fixed point processing function   
-*   
-*   
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 0.0.3  2010/03/10    
-*    Initial version   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**   
- * @ingroup groupTransforms   
- */
-
-/**   
- * @defgroup Radix2_CFFT_CIFFT Radix-2 Complex FFT Functions   
- *   
- * \par   
- * Complex Fast Fourier Transform(CFFT) and Complex Inverse Fast Fourier Transform(CIFFT) is an efficient algorithm to compute Discrete Fourier Transform(DFT) and Inverse Discrete Fourier Transform(IDFT).   
- * Computational complexity of CFFT reduces drastically when compared to DFT.    
- */
-
-
-/**   
- * @addtogroup Radix2_CFFT_CIFFT   
- * @{   
- */
-
-/**   
- * @details   
- * @brief Processing function for the fixed-point CFFT/CIFFT.  
- * @param[in]      *S    points to an instance of the fixed-point CFFT/CIFFT structure.  
- * @param[in, out] *pSrc points to the complex data buffer of size 2*fftLen. Processing occurs in-place.  
- * @return none.  
- */
-
-void arm_cfft_radix2_q15(
-  const arm_cfft_radix2_instance_q15 * S,
-  q15_t * pSrc)
-{
-
-  if(S->ifftFlag == 1u)
-  {
-    arm_radix2_butterfly_inverse_q15(pSrc, S->fftLen,
-                                     S->pTwiddle, S->twidCoefModifier);
-  }
-  else
-  {
-    arm_radix2_butterfly_q15(pSrc, S->fftLen,
-                             S->pTwiddle, S->twidCoefModifier);
-  }
-
-  arm_bitreversal_q15(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable);
-}
-
-/**   
- * @} end of Radix2_CFFT_CIFFT group   
- */
-
-void arm_radix2_butterfly_q15(
-  q15_t * pSrc,
-  uint32_t fftLen,
-  q15_t * pCoef,
-  uint16_t twidCoefModifier)
-{
-#ifndef ARM_MATH_CM0
-
-  int i, j, k, l;
-  int n1, n2, ia;
-  q15_t in;
-  q31_t T, S, R;
-  q31_t coeff, out1, out2;
-
-  //N = fftLen; 
-  n2 = fftLen;
-
-  n1 = n2;
-  n2 = n2 >> 1;
-  ia = 0;
-
-  // loop for groups 
-  for (i = 0; i < n2; i++)
-  {
-    coeff = _SIMD32_OFFSET(pCoef + (ia * 2u));
-
-    ia = ia + twidCoefModifier;
-
-    l = i + n2;
-
-    T = _SIMD32_OFFSET(pSrc + (2 * i));
-    in = ((int16_t) (T & 0xFFFF)) >> 2;
-    T = ((T >> 2) & 0xFFFF0000) | (in & 0xFFFF);
-
-    S = _SIMD32_OFFSET(pSrc + (2 * l));
-    in = ((int16_t) (S & 0xFFFF)) >> 2;
-    S = ((S >> 2) & 0xFFFF0000) | (in & 0xFFFF);
-
-    R = __QSUB16(T, S);
-
-    _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    out1 = __SMUAD(coeff, R) >> 16;
-    out2 = __SMUSDX(coeff, R);
-
-#else
-
-    out1 = __SMUSDX(R, coeff) >> 16u;
-    out2 = __SMUAD(coeff, R);
-
-#endif //     #ifndef ARM_MATH_BIG_ENDIAN
-
-    _SIMD32_OFFSET(pSrc + (2u * l)) =
-      (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
-
-    coeff = _SIMD32_OFFSET(pCoef + (ia * 2u));
-
-    ia = ia + twidCoefModifier;
-
-    // loop for butterfly 
-    i++;
-    l++;
-
-    T = _SIMD32_OFFSET(pSrc + (2 * i));
-    in = ((int16_t) (T & 0xFFFF)) >> 2;
-    T = ((T >> 2) & 0xFFFF0000) | (in & 0xFFFF);
-
-    S = _SIMD32_OFFSET(pSrc + (2 * l));
-    in = ((int16_t) (S & 0xFFFF)) >> 2;
-    S = ((S >> 2) & 0xFFFF0000) | (in & 0xFFFF);
-
-    R = __QSUB16(T, S);
-
-    _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    out1 = __SMUAD(coeff, R) >> 16;
-    out2 = __SMUSDX(coeff, R);
-
-#else
-
-    out1 = __SMUSDX(R, coeff) >> 16u;
-    out2 = __SMUAD(coeff, R);
-
-#endif //     #ifndef ARM_MATH_BIG_ENDIAN
-
-    _SIMD32_OFFSET(pSrc + (2u * l)) =
-      (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
-
-  }                             // groups loop end 
-
-  twidCoefModifier = twidCoefModifier << 1u;
-
-  // loop for stage 
-  for (k = fftLen / 2; k > 2; k = k >> 1)
-  {
-    n1 = n2;
-    n2 = n2 >> 1;
-    ia = 0;
-
-    // loop for groups 
-    for (j = 0; j < n2; j++)
-    {
-      coeff = _SIMD32_OFFSET(pCoef + (ia * 2u));
-
-      ia = ia + twidCoefModifier;
-
-      // loop for butterfly 
-      for (i = j; i < fftLen; i += n1)
-      {
-        l = i + n2;
-
-        T = _SIMD32_OFFSET(pSrc + (2 * i));
-
-        S = _SIMD32_OFFSET(pSrc + (2 * l));
-
-        R = __QSUB16(T, S);
-
-        _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        out1 = __SMUAD(coeff, R) >> 16;
-        out2 = __SMUSDX(coeff, R);
-
-#else
-
-        out1 = __SMUSDX(R, coeff) >> 16u;
-        out2 = __SMUAD(coeff, R);
-
-#endif //     #ifndef ARM_MATH_BIG_ENDIAN
-
-        _SIMD32_OFFSET(pSrc + (2u * l)) =
-          (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
-
-        i += n1;
-
-        l = i + n2;
-
-        T = _SIMD32_OFFSET(pSrc + (2 * i));
-
-        S = _SIMD32_OFFSET(pSrc + (2 * l));
-
-        R = __QSUB16(T, S);
-
-        _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        out1 = __SMUAD(coeff, R) >> 16;
-        out2 = __SMUSDX(coeff, R);
-
-#else
-
-        out1 = __SMUSDX(R, coeff) >> 16u;
-        out2 = __SMUAD(coeff, R);
-
-#endif //     #ifndef ARM_MATH_BIG_ENDIAN
-
-        _SIMD32_OFFSET(pSrc + (2u * l)) =
-          (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
-
-      }                         // butterfly loop end 
-
-    }                           // groups loop end 
-
-    twidCoefModifier = twidCoefModifier << 1u;
-  }                             // stages loop end 
-
-  n1 = n2;
-  n2 = n2 >> 1;
-  ia = 0;
-
-  coeff = _SIMD32_OFFSET(pCoef + (ia * 2u));
-
-  ia = ia + twidCoefModifier;
-
-  // loop for butterfly 
-  for (i = 0; i < fftLen; i += n1)
-  {
-    l = i + n2;
-
-    T = _SIMD32_OFFSET(pSrc + (2 * i));
-
-    S = _SIMD32_OFFSET(pSrc + (2 * l));
-
-    R = __QSUB16(T, S);
-
-    _SIMD32_OFFSET(pSrc + (2 * i)) = __QADD16(T, S);
-
-    _SIMD32_OFFSET(pSrc + (2u * l)) = R;
-
-    i += n1;
-    l = i + n2;
-
-    T = _SIMD32_OFFSET(pSrc + (2 * i));
-
-    S = _SIMD32_OFFSET(pSrc + (2 * l));
-
-    R = __QSUB16(T, S);
-
-    _SIMD32_OFFSET(pSrc + (2 * i)) = __QADD16(T, S);
-
-    _SIMD32_OFFSET(pSrc + (2u * l)) = R;
-
-  }                             // groups loop end 
-
-
-#else
-
-  int i, j, k, l;
-  int n1, n2, ia;
-  q15_t xt, yt, cosVal, sinVal;
-
-
-  //N = fftLen; 
-  n2 = fftLen;
-
-  n1 = n2;
-  n2 = n2 >> 1;
-  ia = 0;
-
-  // loop for groups 
-  for (j = 0; j < n2; j++)
-  {
-    cosVal = pCoef[ia * 2];
-    sinVal = pCoef[(ia * 2) + 1];
-    ia = ia + twidCoefModifier;
-
-    // loop for butterfly 
-    for (i = j; i < fftLen; i += n1)
-    {
-      l = i + n2;
-      xt = (pSrc[2 * i] >> 2u) - (pSrc[2 * l] >> 2u);
-      pSrc[2 * i] = ((pSrc[2 * i] >> 2u) + (pSrc[2 * l] >> 2u)) >> 1u;
-
-      yt = (pSrc[2 * i + 1] >> 2u) - (pSrc[2 * l + 1] >> 2u);
-      pSrc[2 * i + 1] =
-        ((pSrc[2 * l + 1] >> 2u) + (pSrc[2 * i + 1] >> 2u)) >> 1u;
-
-      pSrc[2u * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) +
-                      ((int16_t) (((q31_t) yt * sinVal) >> 16)));
-
-      pSrc[2u * l + 1u] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) -
-                           ((int16_t) (((q31_t) xt * sinVal) >> 16)));
-
-    }                           // butterfly loop end 
-
-  }                             // groups loop end 
-
-  twidCoefModifier = twidCoefModifier << 1u;
-
-  // loop for stage 
-  for (k = fftLen / 2; k > 2; k = k >> 1)
-  {
-    n1 = n2;
-    n2 = n2 >> 1;
-    ia = 0;
-
-    // loop for groups 
-    for (j = 0; j < n2; j++)
-    {
-      cosVal = pCoef[ia * 2];
-      sinVal = pCoef[(ia * 2) + 1];
-      ia = ia + twidCoefModifier;
-
-      // loop for butterfly 
-      for (i = j; i < fftLen; i += n1)
-      {
-        l = i + n2;
-        xt = pSrc[2 * i] - pSrc[2 * l];
-        pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) >> 1u;
-
-        yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
-        pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) >> 1u;
-
-        pSrc[2u * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) +
-                        ((int16_t) (((q31_t) yt * sinVal) >> 16)));
-
-        pSrc[2u * l + 1u] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) -
-                             ((int16_t) (((q31_t) xt * sinVal) >> 16)));
-
-      }                         // butterfly loop end 
-
-    }                           // groups loop end 
-
-    twidCoefModifier = twidCoefModifier << 1u;
-  }                             // stages loop end 
-
-  n1 = n2;
-  n2 = n2 >> 1;
-  ia = 0;
-
-  // loop for groups 
-  for (j = 0; j < n2; j++)
-  {
-    cosVal = pCoef[ia * 2];
-    sinVal = pCoef[(ia * 2) + 1];
-
-    ia = ia + twidCoefModifier;
-
-    // loop for butterfly 
-    for (i = j; i < fftLen; i += n1)
-    {
-      l = i + n2;
-      xt = pSrc[2 * i] - pSrc[2 * l];
-      pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
-
-      yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
-      pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
-
-      pSrc[2u * l] = xt;
-
-      pSrc[2u * l + 1u] = yt;
-
-    }                           // butterfly loop end 
-
-  }                             // groups loop end 
-
-  twidCoefModifier = twidCoefModifier << 1u;
-
-#endif //             #ifndef ARM_MATH_CM0
-
-}
-
-
-void arm_radix2_butterfly_inverse_q15(
-  q15_t * pSrc,
-  uint32_t fftLen,
-  q15_t * pCoef,
-  uint16_t twidCoefModifier)
-{
-#ifndef ARM_MATH_CM0
-
-  int i, j, k, l;
-  int n1, n2, ia;
-  q15_t in;
-  q31_t T, S, R;
-  q31_t coeff, out1, out2;
-
-  //N = fftLen; 
-  n2 = fftLen;
-
-  n1 = n2;
-  n2 = n2 >> 1;
-  ia = 0;
-
-  // loop for groups 
-  for (i = 0; i < n2; i++)
-  {
-    coeff = _SIMD32_OFFSET(pCoef + (ia * 2u));
-
-    ia = ia + twidCoefModifier;
-
-    l = i + n2;
-
-    T = _SIMD32_OFFSET(pSrc + (2 * i));
-    in = ((int16_t) (T & 0xFFFF)) >> 2;
-    T = ((T >> 2) & 0xFFFF0000) | (in & 0xFFFF);
-
-    S = _SIMD32_OFFSET(pSrc + (2 * l));
-    in = ((int16_t) (S & 0xFFFF)) >> 2;
-    S = ((S >> 2) & 0xFFFF0000) | (in & 0xFFFF);
-
-    R = __QSUB16(T, S);
-
-    _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    out1 = __SMUSD(coeff, R) >> 16;
-    out2 = __SMUADX(coeff, R);
-#else
-
-    out1 = __SMUADX(R, coeff) >> 16u;
-    out2 = __SMUSD(__QSUB(0, coeff), R);
-
-#endif //     #ifndef ARM_MATH_BIG_ENDIAN
-
-    _SIMD32_OFFSET(pSrc + (2u * l)) =
-      (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
-
-    coeff = _SIMD32_OFFSET(pCoef + (ia * 2u));
-
-    ia = ia + twidCoefModifier;
-
-    // loop for butterfly 
-    i++;
-    l++;
-
-    T = _SIMD32_OFFSET(pSrc + (2 * i));
-    in = ((int16_t) (T & 0xFFFF)) >> 2;
-    T = ((T >> 2) & 0xFFFF0000) | (in & 0xFFFF);
-
-    S = _SIMD32_OFFSET(pSrc + (2 * l));
-    in = ((int16_t) (S & 0xFFFF)) >> 2;
-    S = ((S >> 2) & 0xFFFF0000) | (in & 0xFFFF);
-
-    R = __QSUB16(T, S);
-
-    _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    out1 = __SMUSD(coeff, R) >> 16;
-    out2 = __SMUADX(coeff, R);
-#else
-
-    out1 = __SMUADX(R, coeff) >> 16u;
-    out2 = __SMUSD(__QSUB(0, coeff), R);
-
-#endif //     #ifndef ARM_MATH_BIG_ENDIAN
-
-    _SIMD32_OFFSET(pSrc + (2u * l)) =
-      (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
-
-  }                             // groups loop end 
-
-  twidCoefModifier = twidCoefModifier << 1u;
-
-  // loop for stage 
-  for (k = fftLen / 2; k > 2; k = k >> 1)
-  {
-    n1 = n2;
-    n2 = n2 >> 1;
-    ia = 0;
-
-    // loop for groups 
-    for (j = 0; j < n2; j++)
-    {
-      coeff = _SIMD32_OFFSET(pCoef + (ia * 2u));
-
-      ia = ia + twidCoefModifier;
-
-      // loop for butterfly 
-      for (i = j; i < fftLen; i += n1)
-      {
-        l = i + n2;
-
-        T = _SIMD32_OFFSET(pSrc + (2 * i));
-
-        S = _SIMD32_OFFSET(pSrc + (2 * l));
-
-        R = __QSUB16(T, S);
-
-        _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        out1 = __SMUSD(coeff, R) >> 16;
-        out2 = __SMUADX(coeff, R);
-
-#else
-
-        out1 = __SMUADX(R, coeff) >> 16u;
-        out2 = __SMUSD(__QSUB(0, coeff), R);
-
-#endif //     #ifndef ARM_MATH_BIG_ENDIAN
-
-        _SIMD32_OFFSET(pSrc + (2u * l)) =
-          (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
-
-        i += n1;
-
-        l = i + n2;
-
-        T = _SIMD32_OFFSET(pSrc + (2 * i));
-
-        S = _SIMD32_OFFSET(pSrc + (2 * l));
-
-        R = __QSUB16(T, S);
-
-        _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        out1 = __SMUSD(coeff, R) >> 16;
-        out2 = __SMUADX(coeff, R);
-#else
-
-        out1 = __SMUADX(R, coeff) >> 16u;
-        out2 = __SMUSD(__QSUB(0, coeff), R);
-
-#endif //     #ifndef ARM_MATH_BIG_ENDIAN
-
-        _SIMD32_OFFSET(pSrc + (2u * l)) =
-          (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
-
-      }                         // butterfly loop end 
-
-    }                           // groups loop end 
-
-    twidCoefModifier = twidCoefModifier << 1u;
-  }                             // stages loop end 
-
-  n1 = n2;
-  n2 = n2 >> 1;
-  ia = 0;
-
-  // loop for groups 
-  for (j = 0; j < n2; j++)
-  {
-    coeff = _SIMD32_OFFSET(pCoef + (ia * 2u));
-
-    ia = ia + twidCoefModifier;
-
-    // loop for butterfly 
-    for (i = j; i < fftLen; i += n1)
-    {
-      l = i + n2;
-
-      T = _SIMD32_OFFSET(pSrc + (2 * i));
-
-      S = _SIMD32_OFFSET(pSrc + (2 * l));
-
-      R = __QSUB16(T, S);
-
-      _SIMD32_OFFSET(pSrc + (2 * i)) = __QADD16(T, S);
-
-      _SIMD32_OFFSET(pSrc + (2u * l)) = R;
-
-    }                           // butterfly loop end 
-
-  }                             // groups loop end 
-
-  twidCoefModifier = twidCoefModifier << 1u;
-
-#else
-
-
-  int i, j, k, l;
-  int n1, n2, ia;
-  q15_t xt, yt, cosVal, sinVal;
-
-  //N = fftLen; 
-  n2 = fftLen;
-
-  n1 = n2;
-  n2 = n2 >> 1;
-  ia = 0;
-
-  // loop for groups 
-  for (j = 0; j < n2; j++)
-  {
-    cosVal = pCoef[ia * 2];
-    sinVal = pCoef[(ia * 2) + 1];
-    ia = ia + twidCoefModifier;
-
-    // loop for butterfly 
-    for (i = j; i < fftLen; i += n1)
-    {
-      l = i + n2;
-      xt = (pSrc[2 * i] >> 2u) - (pSrc[2 * l] >> 2u);
-      pSrc[2 * i] = ((pSrc[2 * i] >> 2u) + (pSrc[2 * l] >> 2u)) >> 1u;
-
-      yt = (pSrc[2 * i + 1] >> 2u) - (pSrc[2 * l + 1] >> 2u);
-      pSrc[2 * i + 1] =
-        ((pSrc[2 * l + 1] >> 2u) + (pSrc[2 * i + 1] >> 2u)) >> 1u;
-
-      pSrc[2u * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) -
-                      ((int16_t) (((q31_t) yt * sinVal) >> 16)));
-
-      pSrc[2u * l + 1u] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) +
-                           ((int16_t) (((q31_t) xt * sinVal) >> 16)));
-
-    }                           // butterfly loop end 
-
-  }                             // groups loop end 
-
-  twidCoefModifier = twidCoefModifier << 1u;
-
-  // loop for stage 
-  for (k = fftLen / 2; k > 2; k = k >> 1)
-  {
-    n1 = n2;
-    n2 = n2 >> 1;
-    ia = 0;
-
-    // loop for groups 
-    for (j = 0; j < n2; j++)
-    {
-      cosVal = pCoef[ia * 2];
-      sinVal = pCoef[(ia * 2) + 1];
-      ia = ia + twidCoefModifier;
-
-      // loop for butterfly 
-      for (i = j; i < fftLen; i += n1)
-      {
-        l = i + n2;
-        xt = pSrc[2 * i] - pSrc[2 * l];
-        pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) >> 1u;
-
-        yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
-        pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) >> 1u;
-
-        pSrc[2u * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) -
-                        ((int16_t) (((q31_t) yt * sinVal) >> 16)));
-
-        pSrc[2u * l + 1u] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) +
-                             ((int16_t) (((q31_t) xt * sinVal) >> 16)));
-
-      }                         // butterfly loop end 
-
-    }                           // groups loop end 
-
-    twidCoefModifier = twidCoefModifier << 1u;
-  }                             // stages loop end 
-
-  n1 = n2;
-  n2 = n2 >> 1;
-  ia = 0;
-
-  cosVal = pCoef[ia * 2];
-  sinVal = pCoef[(ia * 2) + 1];
-
-  ia = ia + twidCoefModifier;
-
-  // loop for butterfly 
-  for (i = 0; i < fftLen; i += n1)
-  {
-    l = i + n2;
-    xt = pSrc[2 * i] - pSrc[2 * l];
-    pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
-
-    yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
-    pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
-
-    pSrc[2u * l] = xt;
-
-    pSrc[2u * l + 1u] = yt;
-
-  }                             // groups loop end 
-
-
-#endif //             #ifndef ARM_MATH_CM0
-
-}
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_q31.c
deleted file mode 100644
index dd4b9e6b2..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_q31.c
+++ /dev/null
@@ -1,310 +0,0 @@
-/* ----------------------------------------------------------------------   
-* Copyright (C) 2010 ARM Limited. All rights reserved.   
-*   
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*   
-* Project: 	    CMSIS DSP Library   
-* Title:	    arm_cfft_radix2_q31.c   
-*   
-* Description:	Radix-2 Decimation in Frequency CFFT & CIFFT Fixed point processing function   
-*   
-*   
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 0.0.3  2010/03/10    
-*    Initial version   
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**   
- * @ingroup groupTransforms   
- */
-
-/**   
- * @defgroup Radix2_CFFT_CIFFT Radix-2 Complex FFT Functions   
- *   
- * \par   
- * Complex Fast Fourier Transform(CFFT) and Complex Inverse Fast Fourier Transform(CIFFT) is an efficient algorithm to compute Discrete Fourier Transform(DFT) and Inverse Discrete Fourier Transform(IDFT).   
- * Computational complexity of CFFT reduces drastically when compared to DFT.    
- */
-
-
-/**   
- * @addtogroup Radix2_CFFT_CIFFT   
- * @{   
- */
-
-/**   
- * @details   
- * @brief Processing function for the fixed-point CFFT/CIFFT.  
- * @param[in]      *S    points to an instance of the fixed-point CFFT/CIFFT structure.  
- * @param[in, out] *pSrc points to the complex data buffer of size 2*fftLen. Processing occurs in-place.  
- * @return none.  
- */
-
-void arm_cfft_radix2_q31(
-  const arm_cfft_radix2_instance_q31 * S,
-  q31_t * pSrc)
-{
-
-  if(S->ifftFlag == 1u)
-  {
-    arm_radix2_butterfly_inverse_q31(pSrc, S->fftLen,
-                                     S->pTwiddle, S->twidCoefModifier);
-  }
-  else
-  {
-    arm_radix2_butterfly_q31(pSrc, S->fftLen,
-                             S->pTwiddle, S->twidCoefModifier);
-  }
-
-  arm_bitreversal_q31(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable);
-}
-
-/**   
- * @} end of Radix2_CFFT_CIFFT group   
- */
-
-void arm_radix2_butterfly_q31(
-  q31_t * pSrc,
-  uint32_t fftLen,
-  q31_t * pCoef,
-  uint16_t twidCoefModifier)
-{
-
-  int i, j, k, l;
-  int n1, n2, ia;
-  q31_t xt, yt, cosVal, sinVal;
-
-  //N = fftLen; 
-  n2 = fftLen;
-
-  n1 = n2;
-  n2 = n2 >> 1;
-  ia = 0;
-
-  // loop for groups 
-  for (i = 0; i < n2; i++)
-  {
-    cosVal = pCoef[ia * 2];
-    sinVal = pCoef[(ia * 2) + 1];
-    ia = ia + twidCoefModifier;
-
-    l = i + n2;
-    xt = (pSrc[2 * i] >> 2u) - (pSrc[2 * l] >> 2u);
-    pSrc[2 * i] = ((pSrc[2 * i] >> 2u) + (pSrc[2 * l] >> 2u)) >> 1u;
-
-    yt = (pSrc[2 * i + 1] >> 2u) - (pSrc[2 * l + 1] >> 2u);
-    pSrc[2 * i + 1] =
-      ((pSrc[2 * l + 1] >> 2u) + (pSrc[2 * i + 1] >> 2u)) >> 1u;
-
-    pSrc[2u * l] = (((int32_t) (((q63_t) xt * cosVal) >> 32)) +
-                    ((int32_t) (((q63_t) yt * sinVal) >> 32)));
-
-    pSrc[2u * l + 1u] = (((int32_t) (((q63_t) yt * cosVal) >> 32)) -
-                         ((int32_t) (((q63_t) xt * sinVal) >> 32)));
-
-  }                             // groups loop end 
-
-  twidCoefModifier = twidCoefModifier << 1u;
-
-  // loop for stage 
-  for (k = fftLen / 2; k > 2; k = k >> 1)
-  {
-    n1 = n2;
-    n2 = n2 >> 1;
-    ia = 0;
-
-    // loop for groups 
-    for (j = 0; j < n2; j++)
-    {
-      cosVal = pCoef[ia * 2];
-      sinVal = pCoef[(ia * 2) + 1];
-      ia = ia + twidCoefModifier;
-
-      // loop for butterfly 
-      for (i = j; i < fftLen; i += n1)
-      {
-        l = i + n2;
-        xt = pSrc[2 * i] - pSrc[2 * l];
-        pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) >> 1u;
-
-        yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
-        pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) >> 1u;
-
-        pSrc[2u * l] = (((int32_t) (((q63_t) xt * cosVal) >> 32)) +
-                        ((int32_t) (((q63_t) yt * sinVal) >> 32)));
-
-        pSrc[2u * l + 1u] = (((int32_t) (((q63_t) yt * cosVal) >> 32)) -
-                             ((int32_t) (((q63_t) xt * sinVal) >> 32)));
-
-      }                         // butterfly loop end 
-
-    }                           // groups loop end 
-
-    twidCoefModifier = twidCoefModifier << 1u;
-  }                             // stages loop end 
-
-  n1 = n2;
-  n2 = n2 >> 1;
-  ia = 0;
-
-  cosVal = pCoef[ia * 2];
-  sinVal = pCoef[(ia * 2) + 1];
-  ia = ia + twidCoefModifier;
-
-  // loop for butterfly 
-  for (i = 0; i < fftLen; i += n1)
-  {
-    l = i + n2;
-    xt = pSrc[2 * i] - pSrc[2 * l];
-    pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
-
-    yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
-    pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
-
-    pSrc[2u * l] = xt;
-
-    pSrc[2u * l + 1u] = yt;
-
-    i += n1;
-    l = i + n2;
-
-    xt = pSrc[2 * i] - pSrc[2 * l];
-    pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
-
-    yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
-    pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
-
-    pSrc[2u * l] = xt;
-
-    pSrc[2u * l + 1u] = yt;
-
-  }                             // butterfly loop end 
-
-}
-
-
-void arm_radix2_butterfly_inverse_q31(
-  q31_t * pSrc,
-  uint32_t fftLen,
-  q31_t * pCoef,
-  uint16_t twidCoefModifier)
-{
-
-  int i, j, k, l;
-  int n1, n2, ia;
-  q31_t xt, yt, cosVal, sinVal;
-
-  //N = fftLen; 
-  n2 = fftLen;
-
-  n1 = n2;
-  n2 = n2 >> 1;
-  ia = 0;
-
-  // loop for groups 
-  for (i = 0; i < n2; i++)
-  {
-    cosVal = pCoef[ia * 2];
-    sinVal = pCoef[(ia * 2) + 1];
-    ia = ia + twidCoefModifier;
-
-    l = i + n2;
-    xt = (pSrc[2 * i] >> 2u) - (pSrc[2 * l] >> 2u);
-    pSrc[2 * i] = ((pSrc[2 * i] >> 2u) + (pSrc[2 * l] >> 2u)) >> 1u;
-
-    yt = (pSrc[2 * i + 1] >> 2u) - (pSrc[2 * l + 1] >> 2u);
-    pSrc[2 * i + 1] =
-      ((pSrc[2 * l + 1] >> 2u) + (pSrc[2 * i + 1] >> 2u)) >> 1u;
-
-    pSrc[2u * l] = (((int32_t) (((q63_t) xt * cosVal) >> 32)) -
-                    ((int32_t) (((q63_t) yt * sinVal) >> 32)));
-
-    pSrc[2u * l + 1u] = (((int32_t) (((q63_t) yt * cosVal) >> 32)) +
-                         ((int32_t) (((q63_t) xt * sinVal) >> 32)));
-
-  }                             // groups loop end 
-
-  twidCoefModifier = twidCoefModifier << 1u;
-
-  // loop for stage 
-  for (k = fftLen / 2; k > 2; k = k >> 1)
-  {
-    n1 = n2;
-    n2 = n2 >> 1;
-    ia = 0;
-
-    // loop for groups 
-    for (j = 0; j < n2; j++)
-    {
-      cosVal = pCoef[ia * 2];
-      sinVal = pCoef[(ia * 2) + 1];
-      ia = ia + twidCoefModifier;
-
-      // loop for butterfly 
-      for (i = j; i < fftLen; i += n1)
-      {
-        l = i + n2;
-        xt = pSrc[2 * i] - pSrc[2 * l];
-        pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) >> 1u;
-
-        yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
-        pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) >> 1u;
-
-        pSrc[2u * l] = (((int32_t) (((q63_t) xt * cosVal) >> 32)) -
-                        ((int32_t) (((q63_t) yt * sinVal) >> 32)));
-
-        pSrc[2u * l + 1u] = (((int32_t) (((q63_t) yt * cosVal) >> 32)) +
-                             ((int32_t) (((q63_t) xt * sinVal) >> 32)));
-
-      }                         // butterfly loop end 
-
-    }                           // groups loop end 
-
-    twidCoefModifier = twidCoefModifier << 1u;
-  }                             // stages loop end 
-
-  n1 = n2;
-  n2 = n2 >> 1;
-  ia = 0;
-
-  cosVal = pCoef[ia * 2];
-  sinVal = pCoef[(ia * 2) + 1];
-  ia = ia + twidCoefModifier;
-
-  // loop for butterfly 
-  for (i = 0; i < fftLen; i += n1)
-  {
-    l = i + n2;
-    xt = pSrc[2 * i] - pSrc[2 * l];
-    pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
-
-    yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
-    pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
-
-    pSrc[2u * l] = xt;
-
-    pSrc[2u * l + 1u] = yt;
-
-    i += n1;
-    l = i + n2;
-
-    xt = pSrc[2 * i] - pSrc[2 * l];
-    pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
-
-    yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
-    pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
-
-    pSrc[2u * l] = xt;
-
-    pSrc[2u * l + 1u] = yt;
-
-  }                             // butterfly loop end 
-
-}
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_f32.c
deleted file mode 100644
index d51e9830b..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_f32.c
+++ /dev/null
@@ -1,1236 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_cfft_radix4_f32.c    
-*    
-* Description:	Radix-4 Decimation in Frequency CFFT & CIFFT Floating point processing function    
-*    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.5  2010/04/26     
-* 	 incorporated review comments and updated with latest CMSIS layer    
-*    
-* Version 0.0.3  2010/03/10     
-*    Initial version    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupTransforms    
- */
-
-/**    
- * @defgroup Radix4_CFFT_CIFFT Radix-4 Complex FFT Functions    
- *    
- * \par    
- * Complex Fast Fourier Transform(CFFT) and Complex Inverse Fast Fourier Transform(CIFFT) is an efficient algorithm to compute Discrete Fourier Transform(DFT) and Inverse Discrete Fourier Transform(IDFT).    
- * Computational complexity of CFFT reduces drastically when compared to DFT.    
- * \par    
- * This set of functions implements CFFT/CIFFT    
- * for Q15, Q31, and floating-point data types.  The functions operates on in-place buffer which uses same buffer for input and output.    
- * Complex input is stored in input buffer in an interleaved fashion.    
- *    
- * \par    
- * The functions operate on blocks of input and output data and each call to the function processes    
- * 2*fftLen samples through the transform.  pSrc  points to In-place arrays containing 2*fftLen values.    
- * \par   
- * The pSrc points to the array of in-place buffer of size 2*fftLen and inputs and outputs are stored in an interleaved fashion as shown below.    
- * 
 {real[0], imag[0], real[1], imag[1],..} 
    
- *    
- * \par Lengths supported by the transform:   
- * \par    
- * Internally, the function utilize a radix-4 decimation in frequency(DIF) algorithm    
- * and the size of the FFT supported are of the lengths [16, 64, 256, 1024].   
- *     
- *    
- * \par Algorithm:    
- *    
- * Complex Fast Fourier Transform:    
- * \par     
- * Input real and imaginary data:    
- * 
    
- * x(n) = xa + j * ya    
- * x(n+N/4 ) = xb + j * yb    
- * x(n+N/2 ) = xc + j * yc    
- * x(n+3N 4) = xd + j * yd    
- * 
    
- * where N is length of FFT    
- * \par    
- * Output real and imaginary data:    
- * 
    
- * X(4r) = xa'+ j * ya'    
- * X(4r+1) = xb'+ j * yb'    
- * X(4r+2) = xc'+ j * yc'    
- * X(4r+3) = xd'+ j * yd'    
- * 
    
- * \par    
- * Twiddle factors for radix-4 FFT:    
- * 
    
- * Wn = co1 + j * (- si1)    
- * W2n = co2 + j * (- si2)    
- * W3n = co3 + j * (- si3)    
- * 
    
- *    
- * \par    
- * \image html CFFT.gif "Radix-4 Decimation-in Frequency Complex Fast Fourier Transform"    
- *    
- * \par    
- * Output from Radix-4 CFFT Results in Digit reversal order. Interchange middle two branches of every butterfly results in Bit reversed output.    
- * \par    
- *  Butterfly CFFT equations:    
- * 
    
- * xa' = xa + xb + xc + xd    
- * ya' = ya + yb + yc + yd    
- * xc' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1)    
- * yc' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1)    
- * xb' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2)    
- * yb' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2)    
- * xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3)    
- * yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3)    
- * 
    
- *    
- *    
- * Complex Inverse Fast Fourier Transform:    
- * \par    
- * CIFFT uses same twiddle factor table as CFFT with modifications in the design equation as shown below.    
- *    
- * \par    
- *  Modified Butterfly CIFFT equations:    
- * 
    
- * xa' = xa + xb + xc + xd    
- * ya' = ya + yb + yc + yd    
- * xc' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1)    
- * yc' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1)    
- * xb' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2)    
- * yb' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2)    
- * xd' = (xa+yb-xc-yd)* co3 - (ya-xb-yc+xd)* (si3)    
- * yd' = (ya-xb-yc+xd)* co3 + (xa+yb-xc-yd)* (si3)    
- * 
    
- *    
- * \par Instance Structure    
- * A separate instance structure must be defined for each Instance but the twiddle factors and bit reversal tables can be reused.    
- * There are separate instance structure declarations for each of the 3 supported data types.    
- *    
- * \par Initialization Functions    
- * There is also an associated initialization function for each data type.    
- * The initialization function performs the following operations:    
- * - Sets the values of the internal structure fields.    
- * - Initializes twiddle factor table and bit reversal table pointers    
- * \par    
- * Use of the initialization function is optional.    
- * However, if the initialization function is used, then the instance structure cannot be placed into a const data section.    
- * To place an instance structure into a const data section, the instance structure must be manually initialized.    
- * Manually initialize the instance structure as follows:    
- * 
    
- *arm_cfft_radix4_instance_f32 S = {fftLen, ifftFlag, bitReverseFlag, pTwiddle, pBitRevTable, twidCoefModifier, bitRevFactor, onebyfftLen};    
- *arm_cfft_radix4_instance_q31 S = {fftLen, ifftFlag, bitReverseFlag, pTwiddle, pBitRevTable, twidCoefModifier, bitRevFactor};    
- *arm_cfft_radix4_instance_q15 S = {fftLen, ifftFlag, bitReverseFlag, pTwiddle, pBitRevTable, twidCoefModifier, bitRevFactor};    
- * 
    
- * \par    
- * where fftLen length of CFFT/CIFFT; ifftFlag Flag for selection of CFFT or CIFFT(Set ifftFlag to calculate CIFFT otherwise calculates CFFT);    
- * bitReverseFlag Flag for selection of output order(Set bitReverseFlag to output in normal order otherwise output in bit reversed order);     
- * pTwiddlepoints to array of twiddle coefficients; pBitRevTable points to the array of bit reversal table.    
- * twidCoefModifier modifier for twiddle factor table which supports all FFT lengths with same table;     
- * pBitRevTable modifier for bit reversal table which supports all FFT lengths with same table.    
- * onebyfftLen value of 1/fftLen to calculate CIFFT;    
- *   
- * \par Fixed-Point Behavior    
- * Care must be taken when using the fixed-point versions of the CFFT/CIFFT function.    
- * Refer to the function specific documentation below for usage guidelines.    
- */
-
-
-/**    
- * @addtogroup Radix4_CFFT_CIFFT    
- * @{    
- */
-
-/**    
- * @details    
- * @brief Processing function for the floating-point Radix-4 CFFT/CIFFT.   
- * @param[in]      *S    points to an instance of the floating-point Radix-4 CFFT/CIFFT structure.   
- * @param[in, out] *pSrc points to the complex data buffer of size 2*fftLen. Processing occurs in-place.   
- * @return none.   
- */
-
-void arm_cfft_radix4_f32(
-  const arm_cfft_radix4_instance_f32 * S,
-  float32_t * pSrc)
-{
-
-  if(S->ifftFlag == 1u)
-  {
-    /*  Complex IFFT radix-4  */
-    arm_radix4_butterfly_inverse_f32(pSrc, S->fftLen, S->pTwiddle,
-                                     S->twidCoefModifier, S->onebyfftLen);
-  }
-  else
-  {
-    /*  Complex FFT radix-4  */
-    arm_radix4_butterfly_f32(pSrc, S->fftLen, S->pTwiddle,
-                             S->twidCoefModifier);
-  }
-
-  if(S->bitReverseFlag == 1u)
-  {
-    /*  Bit Reversal */
-    arm_bitreversal_f32(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable);
-  }
-
-}
-
-
-/**    
- * @} end of Radix4_CFFT_CIFFT group    
- */
-
-
-/* ----------------------------------------------------------------------    
-** Internal helper function used by the FFTs    
-** ------------------------------------------------------------------- */
-
-/*    
- * @brief  Core function for the floating-point CFFT butterfly process.   
- * @param[in, out] *pSrc            points to the in-place buffer of floating-point data type.   
- * @param[in]      fftLen           length of the FFT.   
- * @param[in]      *pCoef           points to the twiddle coefficient buffer.   
- * @param[in]      twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
- * @return none.   
- */
-
-void arm_radix4_butterfly_f32(
-  float32_t * pSrc,
-  uint16_t fftLen,
-  float32_t * pCoef,
-  uint16_t twidCoefModifier)
-{
-
-  float32_t co1, co2, co3, si1, si2, si3;
-  uint32_t ia1, ia2, ia3;
-  uint32_t i0, i1, i2, i3;
-  uint32_t n1, n2, j, k;
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  float32_t xaIn, yaIn, xbIn, ybIn, xcIn, ycIn, xdIn, ydIn;
-  float32_t Xaplusc, Xbplusd, Yaplusc, Ybplusd, Xaminusc, Xbminusd, Yaminusc,
-    Ybminusd;
-  float32_t Xb12C_out, Yb12C_out, Xc12C_out, Yc12C_out, Xd12C_out, Yd12C_out;
-  float32_t Xb12_out, Yb12_out, Xc12_out, Yc12_out, Xd12_out, Yd12_out;
-  float32_t *ptr1;
-
-  /*  Initializations for the first stage */
-  n2 = fftLen;
-  n1 = n2;
-
-  /* n2 = fftLen/4 */
-  n2 >>= 2u;
-  i0 = 0u;
-  ia1 = 0u;
-
-  j = n2;
-
-  /*  Calculation of first stage */
-  do
-  {
-    /*  index calculation for the input as, */
-    /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
-    i1 = i0 + n2;
-    i2 = i1 + n2;
-    i3 = i2 + n2;
-
-    xaIn = pSrc[(2u * i0)];
-    yaIn = pSrc[(2u * i0) + 1u];
-
-    xcIn = pSrc[(2u * i2)];
-    ycIn = pSrc[(2u * i2) + 1u];
-
-    xbIn = pSrc[(2u * i1)];
-    ybIn = pSrc[(2u * i1) + 1u];
-
-    xdIn = pSrc[(2u * i3)];
-    ydIn = pSrc[(2u * i3) + 1u];
-
-    /* xa + xc */
-    Xaplusc = xaIn + xcIn;
-    /* xb + xd */
-    Xbplusd = xbIn + xdIn;
-    /* ya + yc */
-    Yaplusc = yaIn + ycIn;
-    /* yb + yd */
-    Ybplusd = ybIn + ydIn;
-
-    /*  index calculation for the coefficients */
-    ia2 = ia1 + ia1;
-    co2 = pCoef[ia2 * 2u];
-    si2 = pCoef[(ia2 * 2u) + 1u];
-
-    /* xa - xc */
-    Xaminusc = xaIn - xcIn;
-    /* xb - xd */
-    Xbminusd = xbIn - xdIn;
-    /* ya - yc */
-    Yaminusc = yaIn - ycIn;
-    /* yb + yd */
-    Ybminusd = ybIn - ydIn;
-
-    /* xa' = xa + xb + xc + xd */
-    pSrc[(2u * i0)] = Xaplusc + Xbplusd;
-    /* ya' = ya + yb + yc + yd */
-    pSrc[(2u * i0) + 1u] = Yaplusc + Ybplusd;
-
-    /* (xa - xc) + (yb - yd) */
-    Xb12C_out = (Xaminusc + Ybminusd);
-    /* (ya - yc) + (xb - xd) */
-    Yb12C_out = (Yaminusc - Xbminusd);
-    /* (xa + xc) - (xb + xd) */
-    Xc12C_out = (Xaplusc - Xbplusd);
-    /* (ya + yc) - (yb + yd) */
-    Yc12C_out = (Yaplusc - Ybplusd);
-    /* (xa - xc) - (yb - yd) */
-    Xd12C_out = (Xaminusc - Ybminusd);
-    /* (ya - yc) + (xb - xd) */
-    Yd12C_out = (Xbminusd + Yaminusc);
-
-    co1 = pCoef[ia1 * 2u];
-    si1 = pCoef[(ia1 * 2u) + 1u];
-
-    /*  index calculation for the coefficients */
-    ia3 = ia2 + ia1;
-    co3 = pCoef[ia3 * 2u];
-    si3 = pCoef[(ia3 * 2u) + 1u];
-
-    Xb12_out = Xb12C_out * co1;
-    Yb12_out = Yb12C_out * co1;
-    Xc12_out = Xc12C_out * co2;
-    Yc12_out = Yc12C_out * co2;
-    Xd12_out = Xd12C_out * co3;
-    Yd12_out = Yd12C_out * co3;
-
-    /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
-    Xb12_out += Yb12C_out * si1;
-    /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
-    Yb12_out -= Xb12C_out * si1;
-    /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
-    Xc12_out += Yc12C_out * si2;
-    /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
-    Yc12_out -= Xc12C_out * si2;
-    /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
-    Xd12_out += Yd12C_out * si3;
-    /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
-    Yd12_out -= Xd12C_out * si3;
-
-
-    /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
-    pSrc[2u * i1] = Xc12_out;
-
-    /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
-    pSrc[(2u * i1) + 1u] = Yc12_out;
-
-    /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
-    pSrc[2u * i2] = Xb12_out;
-
-    /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
-    pSrc[(2u * i2) + 1u] = Yb12_out;
-
-    /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
-    pSrc[2u * i3] = Xd12_out;
-
-    /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
-    pSrc[(2u * i3) + 1u] = Yd12_out;
-
-    /*  Twiddle coefficients index modifier */
-    ia1 = ia1 + twidCoefModifier;
-
-    /*  Updating input index */
-    i0 = i0 + 1u;
-
-  }
-  while(--j);
-
-  twidCoefModifier <<= 2u;
-
-  /*  Calculation of second stage to excluding last stage */
-  for (k = fftLen / 4; k > 4u; k >>= 2u)
-  {
-    /*  Initializations for the first stage */
-    n1 = n2;
-    n2 >>= 2u;
-    ia1 = 0u;
-
-    /*  Calculation of first stage */
-    for (j = 0u; j <= (n2 - 1u); j++)
-    {
-      /*  index calculation for the coefficients */
-      ia2 = ia1 + ia1;
-      ia3 = ia2 + ia1;
-      co1 = pCoef[ia1 * 2u];
-      si1 = pCoef[(ia1 * 2u) + 1u];
-      co2 = pCoef[ia2 * 2u];
-      si2 = pCoef[(ia2 * 2u) + 1u];
-      co3 = pCoef[ia3 * 2u];
-      si3 = pCoef[(ia3 * 2u) + 1u];
-
-      /*  Twiddle coefficients index modifier */
-      ia1 = ia1 + twidCoefModifier;
-
-      for (i0 = j; i0 < fftLen; i0 += n1)
-      {
-        /*  index calculation for the input as, */
-        /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
-        i1 = i0 + n2;
-        i2 = i1 + n2;
-        i3 = i2 + n2;
-
-        xaIn = pSrc[(2u * i0)];
-        yaIn = pSrc[(2u * i0) + 1u];
-
-        xbIn = pSrc[(2u * i1)];
-        ybIn = pSrc[(2u * i1) + 1u];
-
-        xcIn = pSrc[(2u * i2)];
-        ycIn = pSrc[(2u * i2) + 1u];
-
-        xdIn = pSrc[(2u * i3)];
-        ydIn = pSrc[(2u * i3) + 1u];
-
-        /* xa - xc */
-        Xaminusc = xaIn - xcIn;
-        /* (xb - xd) */
-        Xbminusd = xbIn - xdIn;
-        /* ya - yc */
-        Yaminusc = yaIn - ycIn;
-        /* (yb - yd) */
-        Ybminusd = ybIn - ydIn;
-
-        /* xa + xc */
-        Xaplusc = xaIn + xcIn;
-        /* xb + xd */
-        Xbplusd = xbIn + xdIn;
-        /* ya + yc */
-        Yaplusc = yaIn + ycIn;
-        /* yb + yd */
-        Ybplusd = ybIn + ydIn;
-
-        /* (xa - xc) + (yb - yd) */
-        Xb12C_out = (Xaminusc + Ybminusd);
-        /* (ya - yc) -  (xb - xd) */
-        Yb12C_out = (Yaminusc - Xbminusd);
-        /* xa + xc -(xb + xd) */
-        Xc12C_out = (Xaplusc - Xbplusd);
-        /* (ya + yc) - (yb + yd) */
-        Yc12C_out = (Yaplusc - Ybplusd);
-        /* (xa - xc) - (yb - yd) */
-        Xd12C_out = (Xaminusc - Ybminusd);
-        /* (ya - yc) +  (xb - xd) */
-        Yd12C_out = (Xbminusd + Yaminusc);
-
-        pSrc[(2u * i0)] = Xaplusc + Xbplusd;
-        pSrc[(2u * i0) + 1u] = Yaplusc + Ybplusd;
-
-        Xb12_out = Xb12C_out * co1;
-        Yb12_out = Yb12C_out * co1;
-        Xc12_out = Xc12C_out * co2;
-        Yc12_out = Yc12C_out * co2;
-        Xd12_out = Xd12C_out * co3;
-        Yd12_out = Yd12C_out * co3;
-
-        /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
-        Xb12_out += Yb12C_out * si1;
-        /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
-        Yb12_out -= Xb12C_out * si1;
-        /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
-        Xc12_out += Yc12C_out * si2;
-        /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
-        Yc12_out -= Xc12C_out * si2;
-        /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
-        Xd12_out += Yd12C_out * si3;
-        /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
-        Yd12_out -= Xd12C_out * si3;
-
-        /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
-        pSrc[2u * i1] = Xc12_out;
-
-        /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
-        pSrc[(2u * i1) + 1u] = Yc12_out;
-
-        /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
-        pSrc[2u * i2] = Xb12_out;
-
-        /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
-        pSrc[(2u * i2) + 1u] = Yb12_out;
-
-        /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
-        pSrc[2u * i3] = Xd12_out;
-
-        /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
-        pSrc[(2u * i3) + 1u] = Yd12_out;
-
-      }
-    }
-    twidCoefModifier <<= 2u;
-  }
-
-  j = fftLen >> 2;
-  ptr1 = &pSrc[0];
-
-  /*  Calculations of last stage */
-  do
-  {
-
-    xaIn = ptr1[0];
-    xcIn = ptr1[4];
-    yaIn = ptr1[1];
-    ycIn = ptr1[5];
-
-    /* xa + xc */
-    Xaplusc = xaIn + xcIn;
-
-    xbIn = ptr1[2];
-
-    /* xa - xc */
-    Xaminusc = xaIn - xcIn;
-
-    xdIn = ptr1[6];
-
-    /* ya + yc */
-    Yaplusc = yaIn + ycIn;
-
-    ybIn = ptr1[3];
-
-    /* ya - yc */
-    Yaminusc = yaIn - ycIn;
-
-    ydIn = ptr1[7];
-
-    /* xb + xd */
-    Xbplusd = xbIn + xdIn;
-
-    /* yb + yd */
-    Ybplusd = ybIn + ydIn;
-
-    /* xa' = xa + xb + xc + xd */
-    ptr1[0] = (Xaplusc + Xbplusd);
-
-    /* (xb-xd) */
-    Xbminusd = xbIn - xdIn;
-
-    /* ya' = ya + yb + yc + yd */
-    ptr1[1] = (Yaplusc + Ybplusd);
-
-    /* (yb-yd) */
-    Ybminusd = ybIn - ydIn;
-
-    /* xc' = (xa-xb+xc-xd) */
-    ptr1[2] = (Xaplusc - Xbplusd);
-    /* yc' = (ya-yb+yc-yd) */
-    ptr1[3] = (Yaplusc - Ybplusd);
-    /* xb' = (xa+yb-xc-yd) */
-    ptr1[4] = (Xaminusc + Ybminusd);
-    /* yb' = (ya-xb-yc+xd) */
-    ptr1[5] = (Yaminusc - Xbminusd);
-    /* xd' = (xa-yb-xc+yd)) */
-    ptr1[6] = (Xaminusc - Ybminusd);
-    /* yd' = (ya+xb-yc-xd) */
-    ptr1[7] = (Xbminusd + Yaminusc);
-
-    /* increment pointer by 8 */
-    ptr1 = ptr1 + 8u;
-
-  } while(--j);
-
-#else
-
-  float32_t t1, t2, r1, r2, s1, s2;
-
-  /* Run the below code for Cortex-M0 */
-
-  /*  Initializations for the fft calculation */
-  n2 = fftLen;
-  n1 = n2;
-  for (k = fftLen; k > 1u; k >>= 2u)
-  {
-    /*  Initializations for the fft calculation */
-    n1 = n2;
-    n2 >>= 2u;
-    ia1 = 0u;
-
-    /*  FFT Calculation */
-    for (j = 0u; j <= (n2 - 1u); j++)
-    {
-      /*  index calculation for the coefficients */
-      ia2 = ia1 + ia1;
-      ia3 = ia2 + ia1;
-      co1 = pCoef[ia1 * 2u];
-      si1 = pCoef[(ia1 * 2u) + 1u];
-      co2 = pCoef[ia2 * 2u];
-      si2 = pCoef[(ia2 * 2u) + 1u];
-      co3 = pCoef[ia3 * 2u];
-      si3 = pCoef[(ia3 * 2u) + 1u];
-
-      /*  Twiddle coefficients index modifier */
-      ia1 = ia1 + twidCoefModifier;
-
-      for (i0 = j; i0 < fftLen; i0 += n1)
-      {
-        /*  index calculation for the input as, */
-        /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
-        i1 = i0 + n2;
-        i2 = i1 + n2;
-        i3 = i2 + n2;
-
-        /* xa + xc */
-        r1 = pSrc[(2u * i0)] + pSrc[(2u * i2)];
-
-        /* xa - xc */
-        r2 = pSrc[(2u * i0)] - pSrc[(2u * i2)];
-
-        /* ya + yc */
-        s1 = pSrc[(2u * i0) + 1u] + pSrc[(2u * i2) + 1u];
-
-        /* ya - yc */
-        s2 = pSrc[(2u * i0) + 1u] - pSrc[(2u * i2) + 1u];
-
-        /* xb + xd */
-        t1 = pSrc[2u * i1] + pSrc[2u * i3];
-
-        /* xa' = xa + xb + xc + xd */
-        pSrc[2u * i0] = r1 + t1;
-
-        /* xa + xc -(xb + xd) */
-        r1 = r1 - t1;
-
-        /* yb + yd */
-        t2 = pSrc[(2u * i1) + 1u] + pSrc[(2u * i3) + 1u];
-
-        /* ya' = ya + yb + yc + yd */
-        pSrc[(2u * i0) + 1u] = s1 + t2;
-
-        /* (ya + yc) - (yb + yd) */
-        s1 = s1 - t2;
-
-        /* (yb - yd) */
-        t1 = pSrc[(2u * i1) + 1u] - pSrc[(2u * i3) + 1u];
-
-        /* (xb - xd) */
-        t2 = pSrc[2u * i1] - pSrc[2u * i3];
-
-        /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
-        pSrc[2u * i1] = (r1 * co2) + (s1 * si2);
-
-        /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
-        pSrc[(2u * i1) + 1u] = (s1 * co2) - (r1 * si2);
-
-        /* (xa - xc) + (yb - yd) */
-        r1 = r2 + t1;
-
-        /* (xa - xc) - (yb - yd) */
-        r2 = r2 - t1;
-
-        /* (ya - yc) -  (xb - xd) */
-        s1 = s2 - t2;
-
-        /* (ya - yc) +  (xb - xd) */
-        s2 = s2 + t2;
-
-        /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
-        pSrc[2u * i2] = (r1 * co1) + (s1 * si1);
-
-        /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
-        pSrc[(2u * i2) + 1u] = (s1 * co1) - (r1 * si1);
-
-        /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
-        pSrc[2u * i3] = (r2 * co3) + (s2 * si3);
-
-        /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
-        pSrc[(2u * i3) + 1u] = (s2 * co3) - (r2 * si3);
-      }
-    }
-    twidCoefModifier <<= 2u;
-  }
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-}
-
-/*    
- * @brief  Core function for the floating-point CIFFT butterfly process.   
- * @param[in, out] *pSrc            points to the in-place buffer of floating-point data type.   
- * @param[in]      fftLen           length of the FFT.   
- * @param[in]      *pCoef           points to twiddle coefficient buffer.   
- * @param[in]      twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
- * @param[in]      onebyfftLen      value of 1/fftLen.   
- * @return none.   
- */
-
-void arm_radix4_butterfly_inverse_f32(
-  float32_t * pSrc,
-  uint16_t fftLen,
-  float32_t * pCoef,
-  uint16_t twidCoefModifier,
-  float32_t onebyfftLen)
-{
-  float32_t co1, co2, co3, si1, si2, si3;
-  uint32_t ia1, ia2, ia3;
-  uint32_t i0, i1, i2, i3;
-  uint32_t n1, n2, j, k;
-
-#ifndef ARM_MATH_CM0
-
-  float32_t xaIn, yaIn, xbIn, ybIn, xcIn, ycIn, xdIn, ydIn;
-  float32_t Xaplusc, Xbplusd, Yaplusc, Ybplusd, Xaminusc, Xbminusd, Yaminusc,
-    Ybminusd;
-  float32_t Xb12C_out, Yb12C_out, Xc12C_out, Yc12C_out, Xd12C_out, Yd12C_out;
-  float32_t Xb12_out, Yb12_out, Xc12_out, Yc12_out, Xd12_out, Yd12_out;
-  float32_t *ptr1;
-
-
-  /*  Initializations for the first stage */
-  n2 = fftLen;
-  n1 = n2;
-
-  /* n2 = fftLen/4 */
-  n2 >>= 2u;
-  i0 = 0u;
-  ia1 = 0u;
-
-  j = n2;
-
-  /*  Calculation of first stage */
-  do
-  {
-    /*  index calculation for the input as, */
-    /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
-    i1 = i0 + n2;
-    i2 = i1 + n2;
-    i3 = i2 + n2;
-
-    /*  Butterfly implementation */
-    xaIn = pSrc[(2u * i0)];
-    yaIn = pSrc[(2u * i0) + 1u];
-
-    xcIn = pSrc[(2u * i2)];
-    ycIn = pSrc[(2u * i2) + 1u];
-
-    xbIn = pSrc[(2u * i1)];
-    ybIn = pSrc[(2u * i1) + 1u];
-
-    xdIn = pSrc[(2u * i3)];
-    ydIn = pSrc[(2u * i3) + 1u];
-
-    /* xa + xc */
-    Xaplusc = xaIn + xcIn;
-    /* xb + xd */
-    Xbplusd = xbIn + xdIn;
-    /* ya + yc */
-    Yaplusc = yaIn + ycIn;
-    /* yb + yd */
-    Ybplusd = ybIn + ydIn;
-
-    /*  index calculation for the coefficients */
-    ia2 = ia1 + ia1;
-    co2 = pCoef[ia2 * 2u];
-    si2 = pCoef[(ia2 * 2u) + 1u];
-
-    /* xa - xc */
-    Xaminusc = xaIn - xcIn;
-    /* xb - xd */
-    Xbminusd = xbIn - xdIn;
-    /* ya - yc */
-    Yaminusc = yaIn - ycIn;
-    /* yb - yd */
-    Ybminusd = ybIn - ydIn;
-
-    /* xa' = xa + xb + xc + xd */
-    pSrc[(2u * i0)] = Xaplusc + Xbplusd;
-
-    /* ya' = ya + yb + yc + yd */
-    pSrc[(2u * i0) + 1u] = Yaplusc + Ybplusd;
-
-    /* (xa - xc) - (yb - yd) */
-    Xb12C_out = (Xaminusc - Ybminusd);
-    /* (ya - yc) + (xb - xd) */
-    Yb12C_out = (Yaminusc + Xbminusd);
-    /* (xa + xc) - (xb + xd) */
-    Xc12C_out = (Xaplusc - Xbplusd);
-    /* (ya + yc) - (yb + yd) */
-    Yc12C_out = (Yaplusc - Ybplusd);
-    /* (xa - xc) + (yb - yd) */
-    Xd12C_out = (Xaminusc + Ybminusd);
-    /* (ya - yc) - (xb - xd) */
-    Yd12C_out = (Yaminusc - Xbminusd);
-
-    co1 = pCoef[ia1 * 2u];
-    si1 = pCoef[(ia1 * 2u) + 1u];
-
-    /*  index calculation for the coefficients */
-    ia3 = ia2 + ia1;
-    co3 = pCoef[ia3 * 2u];
-    si3 = pCoef[(ia3 * 2u) + 1u];
-
-    Xb12_out = Xb12C_out * co1;
-    Yb12_out = Yb12C_out * co1;
-    Xc12_out = Xc12C_out * co2;
-    Yc12_out = Yc12C_out * co2;
-    Xd12_out = Xd12C_out * co3;
-    Yd12_out = Yd12C_out * co3;
-
-    /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
-    Xb12_out -= Yb12C_out * si1;
-    /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
-    Yb12_out += Xb12C_out * si1;
-    /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
-    Xc12_out -= Yc12C_out * si2;
-    /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
-    Yc12_out += Xc12C_out * si2;
-    /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
-    Xd12_out -= Yd12C_out * si3;
-    /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
-    Yd12_out += Xd12C_out * si3;
-
-    /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
-    pSrc[2u * i1] = Xc12_out;
-
-    /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
-    pSrc[(2u * i1) + 1u] = Yc12_out;
-
-    /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
-    pSrc[2u * i2] = Xb12_out;
-
-    /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
-    pSrc[(2u * i2) + 1u] = Yb12_out;
-
-    /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
-    pSrc[2u * i3] = Xd12_out;
-
-    /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
-    pSrc[(2u * i3) + 1u] = Yd12_out;
-
-    /*  Twiddle coefficients index modifier */
-    ia1 = ia1 + twidCoefModifier;
-
-    /*  Updating input index */
-    i0 = i0 + 1u;
-
-  } while(--j);
-
-  twidCoefModifier <<= 2u;
-
-  /*  Calculation of second stage to excluding last stage */
-  for (k = fftLen / 4; k > 4u; k >>= 2u)
-  {
-    /*  Initializations for the first stage */
-    n1 = n2;
-    n2 >>= 2u;
-    ia1 = 0u;
-
-    /*  Calculation of first stage */
-    for (j = 0u; j <= (n2 - 1u); j++)
-    {
-      /*  index calculation for the coefficients */
-      ia2 = ia1 + ia1;
-      ia3 = ia2 + ia1;
-      co1 = pCoef[ia1 * 2u];
-      si1 = pCoef[(ia1 * 2u) + 1u];
-      co2 = pCoef[ia2 * 2u];
-      si2 = pCoef[(ia2 * 2u) + 1u];
-      co3 = pCoef[ia3 * 2u];
-      si3 = pCoef[(ia3 * 2u) + 1u];
-
-      /*  Twiddle coefficients index modifier */
-      ia1 = ia1 + twidCoefModifier;
-
-      for (i0 = j; i0 < fftLen; i0 += n1)
-      {
-        /*  index calculation for the input as, */
-        /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
-        i1 = i0 + n2;
-        i2 = i1 + n2;
-        i3 = i2 + n2;
-
-        xaIn = pSrc[(2u * i0)];
-        yaIn = pSrc[(2u * i0) + 1u];
-
-        xbIn = pSrc[(2u * i1)];
-        ybIn = pSrc[(2u * i1) + 1u];
-
-        xcIn = pSrc[(2u * i2)];
-        ycIn = pSrc[(2u * i2) + 1u];
-
-        xdIn = pSrc[(2u * i3)];
-        ydIn = pSrc[(2u * i3) + 1u];
-
-        /* xa - xc */
-        Xaminusc = xaIn - xcIn;
-        /* (xb - xd) */
-        Xbminusd = xbIn - xdIn;
-        /* ya - yc */
-        Yaminusc = yaIn - ycIn;
-        /* (yb - yd) */
-        Ybminusd = ybIn - ydIn;
-
-        /* xa + xc */
-        Xaplusc = xaIn + xcIn;
-        /* xb + xd */
-        Xbplusd = xbIn + xdIn;
-        /* ya + yc */
-        Yaplusc = yaIn + ycIn;
-        /* yb + yd */
-        Ybplusd = ybIn + ydIn;
-
-        /* (xa - xc) - (yb - yd) */
-        Xb12C_out = (Xaminusc - Ybminusd);
-        /* (ya - yc) +  (xb - xd) */
-        Yb12C_out = (Yaminusc + Xbminusd);
-        /* xa + xc -(xb + xd) */
-        Xc12C_out = (Xaplusc - Xbplusd);
-        /* (ya + yc) - (yb + yd) */
-        Yc12C_out = (Yaplusc - Ybplusd);
-        /* (xa - xc) + (yb - yd) */
-        Xd12C_out = (Xaminusc + Ybminusd);
-        /* (ya - yc) -  (xb - xd) */
-        Yd12C_out = (Yaminusc - Xbminusd);
-
-        pSrc[(2u * i0)] = Xaplusc + Xbplusd;
-        pSrc[(2u * i0) + 1u] = Yaplusc + Ybplusd;
-
-        Xb12_out = Xb12C_out * co1;
-        Yb12_out = Yb12C_out * co1;
-        Xc12_out = Xc12C_out * co2;
-        Yc12_out = Yc12C_out * co2;
-        Xd12_out = Xd12C_out * co3;
-        Yd12_out = Yd12C_out * co3;
-
-        /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
-        Xb12_out -= Yb12C_out * si1;
-        /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
-        Yb12_out += Xb12C_out * si1;
-        /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
-        Xc12_out -= Yc12C_out * si2;
-        /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
-        Yc12_out += Xc12C_out * si2;
-        /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
-        Xd12_out -= Yd12C_out * si3;
-        /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
-        Yd12_out += Xd12C_out * si3;
-
-        /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
-        pSrc[2u * i1] = Xc12_out;
-
-        /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
-        pSrc[(2u * i1) + 1u] = Yc12_out;
-
-        /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
-        pSrc[2u * i2] = Xb12_out;
-
-        /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
-        pSrc[(2u * i2) + 1u] = Yb12_out;
-
-        /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
-        pSrc[2u * i3] = Xd12_out;
-
-        /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
-        pSrc[(2u * i3) + 1u] = Yd12_out;
-
-      }
-    }
-    twidCoefModifier <<= 2u;
-  }
-  /*  Initializations of last stage */
-
-  j = fftLen >> 2;
-  ptr1 = &pSrc[0];
-
-  /*  Calculations of last stage */
-  do
-  {
-
-    xaIn = ptr1[0];
-    xcIn = ptr1[4];
-    yaIn = ptr1[1];
-    ycIn = ptr1[5];
-
-    /*  Butterfly implementation */
-    /* xa + xc */
-    Xaplusc = xaIn + xcIn;
-
-    xbIn = ptr1[2];
-
-    /* xa - xc */
-    Xaminusc = xaIn - xcIn;
-
-    xdIn = ptr1[6];
-
-    /* ya + yc */
-    Yaplusc = yaIn + ycIn;
-
-    ybIn = ptr1[3];
-
-    /* ya - yc */
-    Yaminusc = yaIn - ycIn;
-
-    ydIn = ptr1[7];
-
-    /* xc + xd */
-    Xbplusd = xbIn + xdIn;
-
-    /* yb + yd */
-    Ybplusd = ybIn + ydIn;
-
-    /* xa' = xa + xb + xc + xd */
-    ptr1[0] = (Xaplusc + Xbplusd) * onebyfftLen;
-
-    /* (xb-xd) */
-    Xbminusd = xbIn - xdIn;
-
-    /* ya' = ya + yb + yc + yd */
-    ptr1[1] = (Yaplusc + Ybplusd) * onebyfftLen;
-
-    /* (yb-yd) */
-    Ybminusd = ybIn - ydIn;
-
-    /* xc' = (xa-xb+xc-xd) * onebyfftLen */
-    ptr1[2] = (Xaplusc - Xbplusd) * onebyfftLen;
-
-    /* yc' = (ya-yb+yc-yd) * onebyfftLen  */
-    ptr1[3] = (Yaplusc - Ybplusd) * onebyfftLen;
-
-    /* xb' = (xa-yb-xc+yd) * onebyfftLen */
-    ptr1[4] = (Xaminusc - Ybminusd) * onebyfftLen;
-
-    /* yb' = (ya+xb-yc-xd) * onebyfftLen */
-    ptr1[5] = (Yaminusc + Xbminusd) * onebyfftLen;
-
-    /* xd' = (xa-yb-xc+yd) * onebyfftLen */
-    ptr1[6] = (Xaminusc + Ybminusd) * onebyfftLen;
-
-    /* yd' = (ya-xb-yc+xd) * onebyfftLen */
-    ptr1[7] = (Yaminusc - Xbminusd) * onebyfftLen;
-
-    /* increment source pointer by 8 for next calculations */
-    ptr1 = ptr1 + 8u;
-
-  } while(--j);
-
-#else
-
-  float32_t t1, t2, r1, r2, s1, s2;
-
-  /* Run the below code for Cortex-M0 */
-
-  /*  Initializations for the first stage */
-  n2 = fftLen;
-  n1 = n2;
-
-  /*  Calculation of first stage */
-  for (k = fftLen; k > 4u; k >>= 2u)
-  {
-    /*  Initializations for the first stage */
-    n1 = n2;
-    n2 >>= 2u;
-    ia1 = 0u;
-
-    /*  Calculation of first stage */
-    for (j = 0u; j <= (n2 - 1u); j++)
-    {
-      /*  index calculation for the coefficients */
-      ia2 = ia1 + ia1;
-      ia3 = ia2 + ia1;
-      co1 = pCoef[ia1 * 2u];
-      si1 = pCoef[(ia1 * 2u) + 1u];
-      co2 = pCoef[ia2 * 2u];
-      si2 = pCoef[(ia2 * 2u) + 1u];
-      co3 = pCoef[ia3 * 2u];
-      si3 = pCoef[(ia3 * 2u) + 1u];
-
-      /*  Twiddle coefficients index modifier */
-      ia1 = ia1 + twidCoefModifier;
-
-      for (i0 = j; i0 < fftLen; i0 += n1)
-      {
-        /*  index calculation for the input as, */
-        /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
-        i1 = i0 + n2;
-        i2 = i1 + n2;
-        i3 = i2 + n2;
-
-        /* xa + xc */
-        r1 = pSrc[(2u * i0)] + pSrc[(2u * i2)];
-
-        /* xa - xc */
-        r2 = pSrc[(2u * i0)] - pSrc[(2u * i2)];
-
-        /* ya + yc */
-        s1 = pSrc[(2u * i0) + 1u] + pSrc[(2u * i2) + 1u];
-
-        /* ya - yc */
-        s2 = pSrc[(2u * i0) + 1u] - pSrc[(2u * i2) + 1u];
-
-        /* xb + xd */
-        t1 = pSrc[2u * i1] + pSrc[2u * i3];
-
-        /* xa' = xa + xb + xc + xd */
-        pSrc[2u * i0] = r1 + t1;
-
-        /* xa + xc -(xb + xd) */
-        r1 = r1 - t1;
-
-        /* yb + yd */
-        t2 = pSrc[(2u * i1) + 1u] + pSrc[(2u * i3) + 1u];
-
-        /* ya' = ya + yb + yc + yd */
-        pSrc[(2u * i0) + 1u] = s1 + t2;
-
-        /* (ya + yc) - (yb + yd) */
-        s1 = s1 - t2;
-
-        /* (yb - yd) */
-        t1 = pSrc[(2u * i1) + 1u] - pSrc[(2u * i3) + 1u];
-
-        /* (xb - xd) */
-        t2 = pSrc[2u * i1] - pSrc[2u * i3];
-
-        /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
-        pSrc[2u * i1] = (r1 * co2) - (s1 * si2);
-
-        /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
-        pSrc[(2u * i1) + 1u] = (s1 * co2) + (r1 * si2);
-
-        /* (xa - xc) - (yb - yd) */
-        r1 = r2 - t1;
-
-        /* (xa - xc) + (yb - yd) */
-        r2 = r2 + t1;
-
-        /* (ya - yc) +  (xb - xd) */
-        s1 = s2 + t2;
-
-        /* (ya - yc) -  (xb - xd) */
-        s2 = s2 - t2;
-
-        /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
-        pSrc[2u * i2] = (r1 * co1) - (s1 * si1);
-
-        /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
-        pSrc[(2u * i2) + 1u] = (s1 * co1) + (r1 * si1);
-
-        /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
-        pSrc[2u * i3] = (r2 * co3) - (s2 * si3);
-
-        /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
-        pSrc[(2u * i3) + 1u] = (s2 * co3) + (r2 * si3);
-      }
-    }
-    twidCoefModifier <<= 2u;
-  }
-  /*  Initializations of last stage */
-  n1 = n2;
-  n2 >>= 2u;
-
-  /*  Calculations of last stage */
-  for (i0 = 0u; i0 <= (fftLen - n1); i0 += n1)
-  {
-    /*  index calculation for the input as, */
-    /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
-    i1 = i0 + n2;
-    i2 = i1 + n2;
-    i3 = i2 + n2;
-
-    /*  Butterfly implementation */
-    /* xa + xc */
-    r1 = pSrc[2u * i0] + pSrc[2u * i2];
-
-    /* xa - xc */
-    r2 = pSrc[2u * i0] - pSrc[2u * i2];
-
-    /* ya + yc */
-    s1 = pSrc[(2u * i0) + 1u] + pSrc[(2u * i2) + 1u];
-
-    /* ya - yc */
-    s2 = pSrc[(2u * i0) + 1u] - pSrc[(2u * i2) + 1u];
-
-    /* xc + xd */
-    t1 = pSrc[2u * i1] + pSrc[2u * i3];
-
-    /* xa' = xa + xb + xc + xd */
-    pSrc[2u * i0] = (r1 + t1) * onebyfftLen;
-
-    /* (xa + xb) - (xc + xd) */
-    r1 = r1 - t1;
-
-    /* yb + yd */
-    t2 = pSrc[(2u * i1) + 1u] + pSrc[(2u * i3) + 1u];
-
-    /* ya' = ya + yb + yc + yd */
-    pSrc[(2u * i0) + 1u] = (s1 + t2) * onebyfftLen;
-
-    /* (ya + yc) - (yb + yd) */
-    s1 = s1 - t2;
-
-    /* (yb-yd) */
-    t1 = pSrc[(2u * i1) + 1u] - pSrc[(2u * i3) + 1u];
-
-    /* (xb-xd) */
-    t2 = pSrc[2u * i1] - pSrc[2u * i3];
-
-    /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
-    pSrc[2u * i1] = r1 * onebyfftLen;
-
-    /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
-    pSrc[(2u * i1) + 1u] = s1 * onebyfftLen;
-
-
-    /* (xa - xc) - (yb-yd) */
-    r1 = r2 - t1;
-
-    /* (xa - xc) + (yb-yd) */
-    r2 = r2 + t1;
-
-    /* (ya - yc) + (xb-xd) */
-    s1 = s2 + t2;
-
-    /* (ya - yc) - (xb-xd) */
-    s2 = s2 - t2;
-
-    /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
-    pSrc[2u * i2] = r1 * onebyfftLen;
-
-    /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
-    pSrc[(2u * i2) + 1u] = s1 * onebyfftLen;
-
-    /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
-    pSrc[2u * i3] = r2 * onebyfftLen;
-
-    /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
-    pSrc[(2u * i3) + 1u] = s2 * onebyfftLen;
-  }
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-}
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_init_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_init_f32.c
deleted file mode 100644
index f354e1dde..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_init_f32.c
+++ /dev/null
@@ -1,161 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_cfft_radix4_init_f32.c    
-*    
-* Description:	Radix-4 Decimation in Frequency Floating-point CFFT & CIFFT Initialization function    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.5  2010/04/26     
-* 	 incorporated review comments and updated with latest CMSIS layer    
-*    
-* Version 0.0.3  2010/03/10     
-*    Initial version    
-* -------------------------------------------------------------------- */
-
-
-#include "arm_math.h"
-#include "arm_common_tables.h"
-
-/**    
- * @ingroup groupTransforms    
- */
-
-/**    
- * @addtogroup Radix4_CFFT_CIFFT    
- * @{    
- */
-
-/**    
-* @brief  Initialization function for the floating-point CFFT/CIFFT.   
-* @param[in,out] *S             points to an instance of the floating-point CFFT/CIFFT structure.   
-* @param[in]     fftLen         length of the FFT.   
-* @param[in]     ifftFlag       flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.   
-* @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.   
-* @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLen is not a supported value.   
-*    
-* \par Description:   
-* \par    
-* The parameter ifftFlag controls whether a forward or inverse transform is computed.    
-* Set(=1) ifftFlag for calculation of CIFFT otherwise  CFFT is calculated   
-* \par    
-* The parameter bitReverseFlag controls whether output is in normal order or bit reversed order.    
-* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.    
-* \par    
-* The parameter fftLen	Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024.    
-* \par    
-* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.    
-*/
-
-arm_status arm_cfft_radix4_init_f32(
-  arm_cfft_radix4_instance_f32 * S,
-  uint16_t fftLen,
-  uint8_t ifftFlag,
-  uint8_t bitReverseFlag)
-{
-  /*  Initialise the default arm status */
-  arm_status status = ARM_MATH_SUCCESS;
-
-  /*  Initialise the FFT length */
-  S->fftLen = fftLen;
-
-  /*  Initialise the Twiddle coefficient pointer */
-  S->pTwiddle = (float32_t *) twiddleCoef;
-
-  /*  Initialise the Flag for selection of CFFT or CIFFT */
-  S->ifftFlag = ifftFlag;
-
-  /*  Initialise the Flag for calculation Bit reversal or not */
-  S->bitReverseFlag = bitReverseFlag;
-
-  /*  Initializations of structure parameters depending on the FFT length */
-  switch (S->fftLen)
-  {
-
-  case 4096u:
-    /*  Initializations of structure parameters for 4096 point FFT */
-
-    /*  Initialise the twiddle coef modifier value */
-    S->twidCoefModifier = 1u;
-    /*  Initialise the bit reversal table modifier */
-    S->bitRevFactor = 1u;
-    /*  Initialise the bit reversal table pointer */
-    S->pBitRevTable = (uint16_t *) armBitRevTable;
-    /*  Initialise the 1/fftLen Value */
-    S->onebyfftLen = 0.000244140625;
-    break;
-
-  case 1024u:
-    /*  Initializations of structure parameters for 1024 point FFT */
-
-    /*  Initialise the twiddle coef modifier value */
-    S->twidCoefModifier = 4u;
-    /*  Initialise the bit reversal table modifier */
-    S->bitRevFactor = 4u;
-    /*  Initialise the bit reversal table pointer */
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[3];
-    /*  Initialise the 1/fftLen Value */
-    S->onebyfftLen = 0.0009765625f;
-    break;
-
-
-  case 256u:
-    /*  Initializations of structure parameters for 256 point FFT */
-    S->twidCoefModifier = 16u;
-    S->bitRevFactor = 16u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[15];
-    S->onebyfftLen = 0.00390625f;
-    break;
-
-  case 64u:
-    /*  Initializations of structure parameters for 64 point FFT */
-    S->twidCoefModifier = 64u;
-    S->bitRevFactor = 64u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[63];
-    S->onebyfftLen = 0.015625f;
-    break;
-
-  case 16u:
-    /*  Initializations of structure parameters for 16 point FFT */
-    S->twidCoefModifier = 256u;
-    S->bitRevFactor = 256u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[255];
-    S->onebyfftLen = 0.0625f;
-    break;
-
-
-  default:
-    /*  Reporting argument error if fftSize is not valid value */
-    status = ARM_MATH_ARGUMENT_ERROR;
-    break;
-  }
-
-  return (status);
-}
-
-/**    
- * @} end of Radix4_CFFT_CIFFT group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_init_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_init_q15.c
deleted file mode 100644
index 5ace3483d..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_init_q15.c
+++ /dev/null
@@ -1,149 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_cfft_radix4_init_q15.c    
-*    
-* Description:	Radix-4 Decimation in Frequency Q15 FFT & IFFT initialization function    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.5  2010/04/26     
-* 	 incorporated review comments and updated with latest CMSIS layer    
-*    
-* Version 0.0.3  2010/03/10     
-*    Initial version    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-#include "arm_common_tables.h"
-
-/**    
- * @ingroup groupTransforms    
- */
-
-
-/**    
- * @addtogroup Radix4_CFFT_CIFFT    
- * @{    
- */
-
-
-/**    
-* @brief Initialization function for the Q15 CFFT/CIFFT.   
-* @param[in,out] *S             points to an instance of the Q15 CFFT/CIFFT structure.   
-* @param[in]     fftLen         length of the FFT.   
-* @param[in]     ifftFlag       flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.   
-* @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.   
-* @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLen is not a supported value.   
-*    
-* \par Description:   
-* \par    
-* The parameter ifftFlag controls whether a forward or inverse transform is computed.    
-* Set(=1) ifftFlag for calculation of CIFFT otherwise  CFFT is calculated   
-* \par    
-* The parameter bitReverseFlag controls whether output is in normal order or bit reversed order.    
-* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.    
-* \par    
-* The parameter fftLen	Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024.    
-* \par    
-* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.    
-*/
-
-arm_status arm_cfft_radix4_init_q15(
-  arm_cfft_radix4_instance_q15 * S,
-  uint16_t fftLen,
-  uint8_t ifftFlag,
-  uint8_t bitReverseFlag)
-{
-  /*  Initialise the default arm status */
-  arm_status status = ARM_MATH_SUCCESS;
-  /*  Initialise the FFT length */
-  S->fftLen = fftLen;
-  /*  Initialise the Twiddle coefficient pointer */
-  S->pTwiddle = (q15_t *) twiddleCoefQ15;
-  /*  Initialise the Flag for selection of CFFT or CIFFT */
-  S->ifftFlag = ifftFlag;
-  /*  Initialise the Flag for calculation Bit reversal or not */
-  S->bitReverseFlag = bitReverseFlag;
-
-  /*  Initializations of structure parameters depending on the FFT length */
-  switch (S->fftLen)
-  {
-  case 4096u:
-    /*  Initializations of structure parameters for 4096 point FFT */
-
-    /*  Initialise the twiddle coef modifier value */
-    S->twidCoefModifier = 1u;
-    /*  Initialise the bit reversal table modifier */
-    S->bitRevFactor = 1u;
-    /*  Initialise the bit reversal table pointer */
-    S->pBitRevTable = (uint16_t *) armBitRevTable;
-
-    break;
-
-  case 1024u:
-    /*  Initializations of structure parameters for 1024 point FFT */
-    S->twidCoefModifier = 4u;
-    S->bitRevFactor = 4u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[3];
-
-    break;
-
-  case 256u:
-    /*  Initializations of structure parameters for 256 point FFT */
-    S->twidCoefModifier = 16u;
-    S->bitRevFactor = 16u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[15];
-
-    break;
-
-  case 64u:
-    /*  Initializations of structure parameters for 64 point FFT */
-    S->twidCoefModifier = 64u;
-    S->bitRevFactor = 64u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[63];
-
-    break;
-
-  case 16u:
-    /*  Initializations of structure parameters for 16 point FFT */
-    S->twidCoefModifier = 256u;
-    S->bitRevFactor = 256u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[255];
-
-    break;
-
-  default:
-    /*  Reporting argument error if fftSize is not valid value */
-    status = ARM_MATH_ARGUMENT_ERROR;
-    break;
-  }
-
-  return (status);
-}
-
-/**    
- * @} end of Radix4_CFFT_CIFFT group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_init_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_init_q31.c
deleted file mode 100644
index 6614994f7..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_init_q31.c
+++ /dev/null
@@ -1,145 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_cfft_radix4_init_q31.c    
-*    
-* Description:	Radix-4 Decimation in Frequency Q31 FFT & IFFT initialization function    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.5  2010/04/26     
-* 	 incorporated review comments and updated with latest CMSIS layer    
-*    
-* Version 0.0.3  2010/03/10     
-*    Initial version    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-#include "arm_common_tables.h"
-
-/**    
- * @ingroup groupTransforms    
- */
-
-/**    
- * @addtogroup Radix4_CFFT_CIFFT    
- * @{    
- */
-
-/**    
-*    
-* @brief  Initialization function for the Q31 CFFT/CIFFT.   
-* @param[in,out] *S             points to an instance of the Q31 CFFT/CIFFT structure.   
-* @param[in]     fftLen         length of the FFT.   
-* @param[in]     ifftFlag       flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.   
-* @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.   
-* @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLen is not a supported value.   
-*    
-* \par Description:   
-* \par    
-* The parameter ifftFlag controls whether a forward or inverse transform is computed.    
-* Set(=1) ifftFlag for calculation of CIFFT otherwise  CFFT is calculated   
-* \par    
-* The parameter bitReverseFlag controls whether output is in normal order or bit reversed order.    
-* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.    
-* \par    
-* The parameter fftLen	Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024.    
-* \par    
-* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.    
-*/
-
-arm_status arm_cfft_radix4_init_q31(
-  arm_cfft_radix4_instance_q31 * S,
-  uint16_t fftLen,
-  uint8_t ifftFlag,
-  uint8_t bitReverseFlag)
-{
-  /*  Initialise the default arm status */
-  arm_status status = ARM_MATH_SUCCESS;
-  /*  Initialise the FFT length */
-  S->fftLen = fftLen;
-  /*  Initialise the Twiddle coefficient pointer */
-  S->pTwiddle = (q31_t *) twiddleCoefQ31;
-  /*  Initialise the Flag for selection of CFFT or CIFFT */
-  S->ifftFlag = ifftFlag;
-  /*  Initialise the Flag for calculation Bit reversal or not */
-  S->bitReverseFlag = bitReverseFlag;
-
-  /*  Initializations of Instance structure depending on the FFT length */
-  switch (S->fftLen)
-  {
-    /*  Initializations of structure parameters for 4096 point FFT */
-  case 4096u:
-    /*  Initialise the twiddle coef modifier value */
-    S->twidCoefModifier = 1u;
-    /*  Initialise the bit reversal table modifier */
-    S->bitRevFactor = 1u;
-    /*  Initialise the bit reversal table pointer */
-    S->pBitRevTable = (uint16_t *) armBitRevTable;
-    break;
-
-    /*  Initializations of structure parameters for 1024 point FFT */
-  case 1024u:
-    /*  Initialise the twiddle coef modifier value */
-    S->twidCoefModifier = 4u;
-    /*  Initialise the bit reversal table modifier */
-    S->bitRevFactor = 4u;
-    /*  Initialise the bit reversal table pointer */
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[3];
-    break;
-
-  case 256u:
-    /*  Initializations of structure parameters for 256 point FFT */
-    S->twidCoefModifier = 16u;
-    S->bitRevFactor = 16u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[15];
-    break;
-
-  case 64u:
-    /*  Initializations of structure parameters for 64 point FFT */
-    S->twidCoefModifier = 64u;
-    S->bitRevFactor = 64u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[63];
-    break;
-
-  case 16u:
-    /*  Initializations of structure parameters for 16 point FFT */
-    S->twidCoefModifier = 256u;
-    S->bitRevFactor = 256u;
-    S->pBitRevTable = (uint16_t *) & armBitRevTable[255];
-    break;
-
-  default:
-    /*  Reporting argument error if fftSize is not valid value */
-    status = ARM_MATH_ARGUMENT_ERROR;
-    break;
-  }
-
-  return (status);
-}
-
-/**    
- * @} end of Radix4_CFFT_CIFFT group    
- */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_q15.c
deleted file mode 100644
index 01d476e6c..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_q15.c
+++ /dev/null
@@ -1,1896 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_cfft_radix4_q15.c    
-*    
-* Description:	This file has function definition of Radix-4 FFT & IFFT function and    
-*				In-place bit reversal using bit reversal table    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.5  2010/04/26     
-* 	 incorporated review comments and updated with latest CMSIS layer    
-*    
-* Version 0.0.3  2010/03/10     
-*    Initial version    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupTransforms    
- */
-
-/**    
- * @addtogroup Radix4_CFFT_CIFFT    
- * @{    
- */
-
-
-/**    
- * @details    
- * @brief Processing function for the Q15 CFFT/CIFFT.   
- * @param[in]      *S    points to an instance of the Q15 CFFT/CIFFT structure.   
- * @param[in, out] *pSrc points to the complex data buffer. Processing occurs in-place.   
- * @return none.   
- *     
- * \par Input and output formats:    
- * \par    
- * Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process.   
- * Hence the output format is different for different FFT sizes.    
- * The input and output formats for different FFT sizes and number of bits to upscale are mentioned in the tables below for CFFT and CIFFT:   
- * \par   
- * \image html CFFTQ15.gif "Input and Output Formats for Q15 CFFT"    
- * \image html CIFFTQ15.gif "Input and Output Formats for Q15 CIFFT"    
- */
-
-void arm_cfft_radix4_q15(
-  const arm_cfft_radix4_instance_q15 * S,
-  q15_t * pSrc)
-{
-  if(S->ifftFlag == 1u)
-  {
-    /*  Complex IFFT radix-4  */
-    arm_radix4_butterfly_inverse_q15(pSrc, S->fftLen, S->pTwiddle,
-                                     S->twidCoefModifier);
-  }
-  else
-  {
-    /*  Complex FFT radix-4  */
-    arm_radix4_butterfly_q15(pSrc, S->fftLen, S->pTwiddle,
-                             S->twidCoefModifier);
-  }
-
-  if(S->bitReverseFlag == 1u)
-  {
-    /*  Bit Reversal */
-    arm_bitreversal_q15(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable);
-  }
-
-}
-
-/**    
- * @} end of Radix4_CFFT_CIFFT group    
- */
-
-/*    
-* Radix-4 FFT algorithm used is :    
-*    
-* Input real and imaginary data:    
-* x(n) = xa + j * ya    
-* x(n+N/4 ) = xb + j * yb    
-* x(n+N/2 ) = xc + j * yc    
-* x(n+3N 4) = xd + j * yd    
-*    
-*    
-* Output real and imaginary data:    
-* x(4r) = xa'+ j * ya'    
-* x(4r+1) = xb'+ j * yb'    
-* x(4r+2) = xc'+ j * yc'    
-* x(4r+3) = xd'+ j * yd'    
-*    
-*    
-* Twiddle factors for radix-4 FFT:    
-* Wn = co1 + j * (- si1)    
-* W2n = co2 + j * (- si2)    
-* W3n = co3 + j * (- si3)    
-    
-* The real and imaginary output values for the radix-4 butterfly are    
-* xa' = xa + xb + xc + xd    
-* ya' = ya + yb + yc + yd    
-* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1)    
-* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1)    
-* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2)    
-* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2)    
-* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3)    
-* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3)    
-*    
-*/
-
-/**    
- * @brief  Core function for the Q15 CFFT butterfly process.   
- * @param[in, out] *pSrc16          points to the in-place buffer of Q15 data type.   
- * @param[in]      fftLen           length of the FFT.   
- * @param[in]      *pCoef16         points to twiddle coefficient buffer.   
- * @param[in]      twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
- * @return none.   
- */
-
-void arm_radix4_butterfly_q15(
-  q15_t * pSrc16,
-  uint32_t fftLen,
-  q15_t * pCoef16,
-  uint32_t twidCoefModifier)
-{
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q31_t R, S, T, U;
-  q31_t C1, C2, C3, out1, out2;
-  uint32_t n1, n2, ic, i0, i1, i2, i3, j, k;
-  q15_t in;
-
-  q15_t *ptr1;
-
-
-
-  q31_t xaya, xbyb, xcyc, xdyd;
-
-  /* Total process is divided into three stages */
-
-  /* process first stage, middle stages, & last stage */
-
-  /*  Initializations for the first stage */
-  n2 = fftLen;
-  n1 = n2;
-
-  /* n2 = fftLen/4 */
-  n2 >>= 2u;
-
-  /* Index for twiddle coefficient */
-  ic = 0u;
-
-  /* Index for input read and output write */
-  i0 = 0u;
-  j = n2;
-
-  /* Input is in 1.15(q15) format */
-
-  /*  start of first stage process */
-  do
-  {
-    /*  Butterfly implementation */
-
-    /*  index calculation for the input as, */
-    /*  pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
-    i1 = i0 + n2;
-    i2 = i1 + n2;
-    i3 = i2 + n2;
-
-    /*  Reading i0, i0+fftLen/2 inputs */
-    /* Read ya (real), xa(imag) input */
-    T = _SIMD32_OFFSET(pSrc16 + (2u * i0));
-    in = ((int16_t) (T & 0xFFFF)) >> 2;
-    T = ((T >> 2) & 0xFFFF0000) | (in & 0xFFFF);
-
-    /* Read yc (real), xc(imag) input */
-    S = _SIMD32_OFFSET(pSrc16 + (2u * i2));
-    in = ((int16_t) (S & 0xFFFF)) >> 2;
-    S = ((S >> 2) & 0xFFFF0000) | (in & 0xFFFF);
-
-    /* R = packed((ya + yc), (xa + xc) ) */
-    R = __QADD16(T, S);
-
-    /* S = packed((ya - yc), (xa - xc) ) */
-    S = __QSUB16(T, S);
-
-    /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
-    /* Read yb (real), xb(imag) input */
-    T = _SIMD32_OFFSET(pSrc16 + (2u * i1));
-    in = ((int16_t) (T & 0xFFFF)) >> 2;
-    T = ((T >> 2) & 0xFFFF0000) | (in & 0xFFFF);
-
-    /* Read yd (real), xd(imag) input */
-    U = _SIMD32_OFFSET(pSrc16 + (2u * i3));
-    in = ((int16_t) (U & 0xFFFF)) >> 2;
-    U = ((U >> 2) & 0xFFFF0000) | (in & 0xFFFF);
-
-    /* T = packed((yb + yd), (xb + xd) ) */
-    T = __QADD16(T, U);
-
-    /*  writing the butterfly processed i0 sample */
-    /* xa' = xa + xb + xc + xd */
-    /* ya' = ya + yb + yc + yd */
-    _SIMD32_OFFSET(pSrc16 + (2u * i0)) = __SHADD16(R, T);
-
-    /* R = packed((ya + yc) - (yb + yd), (xa + xc)- (xb + xd)) */
-    R = __QSUB16(R, T);
-
-    /* co2 & si2 are read from SIMD Coefficient pointer */
-    C2 = _SIMD32_OFFSET(pCoef16 + (4u * ic));
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
-    out1 = __SMUAD(C2, R) >> 16u;
-    /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
-    out2 = __SMUSDX(C2, R);
-
-#else
-
-    /* xc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
-    out1 = __SMUSDX(R, C2) >> 16u;
-    /* yc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
-    out2 = __SMUAD(C2, R);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-    /*  Reading i0+fftLen/4 */
-    /* T = packed(yb, xb) */
-    T = _SIMD32_OFFSET(pSrc16 + (2u * i1));
-    in = ((int16_t) (T & 0xFFFF)) >> 2;
-    T = ((T >> 2) & 0xFFFF0000) | (in & 0xFFFF);
-
-    /* writing the butterfly processed i0 + fftLen/4 sample */
-    /* writing output(xc', yc') in little endian format */
-    _SIMD32_OFFSET(pSrc16 + (2u * i1)) =
-      (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
-
-    /*  Butterfly calculations */
-    /* U = packed(yd, xd) */
-    U = _SIMD32_OFFSET(pSrc16 + (2u * i3));
-    in = ((int16_t) (U & 0xFFFF)) >> 2;
-    U = ((U >> 2) & 0xFFFF0000) | (in & 0xFFFF);
-
-    /* T = packed(yb-yd, xb-xd) */
-    T = __QSUB16(T, U);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
-    R = __QASX(S, T);
-    /* S = packed((ya-yc) - (xb- xd),  (xa-xc) + (yb-yd)) */
-    S = __QSAX(S, T);
-
-#else
-
-    /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
-    R = __QSAX(S, T);
-    /* S = packed((ya-yc) - (xb- xd),  (xa-xc) + (yb-yd)) */
-    S = __QASX(S, T);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-    /* co1 & si1 are read from SIMD Coefficient pointer */
-    C1 = _SIMD32_OFFSET(pCoef16 + (2u * ic));
-    /*  Butterfly process for the i0+fftLen/2 sample */
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
-    out1 = __SMUAD(C1, S) >> 16u;
-    /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
-    out2 = __SMUSDX(C1, S);
-
-#else
-
-    /* xb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
-    out1 = __SMUSDX(S, C1) >> 16u;
-    /* yb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
-    out2 = __SMUAD(C1, S);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-    /* writing output(xb', yb') in little endian format */
-    _SIMD32_OFFSET(pSrc16 + (2u * i2)) =
-      ((out2) & 0xFFFF0000) | ((out1) & 0x0000FFFF);
-
-
-    /* co3 & si3 are read from SIMD Coefficient pointer */
-    C3 = _SIMD32_OFFSET(pCoef16 + (6u * ic));
-    /*  Butterfly process for the i0+3fftLen/4 sample */
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    /* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */
-    out1 = __SMUAD(C3, R) >> 16u;
-    /* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */
-    out2 = __SMUSDX(C3, R);
-
-#else
-
-    /* xd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */
-    out1 = __SMUSDX(R, C3) >> 16u;
-    /* yd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */
-    out2 = __SMUAD(C3, R);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-    /* writing output(xd', yd') in little endian format */
-    _SIMD32_OFFSET(pSrc16 + (2u * i3)) =
-      ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
-
-    /*  Twiddle coefficients index modifier */
-    ic = ic + twidCoefModifier;
-
-    /*  Updating input index */
-    i0 = i0 + 1u;
-
-  } while(--j);
-  /* data is in 4.11(q11) format */
-
-  /* end of first stage process */
-
-
-  /* start of middle stage process */
-
-  /*  Twiddle coefficients index modifier */
-  twidCoefModifier <<= 2u;
-
-  /*  Calculation of Middle stage */
-  for (k = fftLen / 4u; k > 4u; k >>= 2u)
-  {
-    /*  Initializations for the middle stage */
-    n1 = n2;
-    n2 >>= 2u;
-    ic = 0u;
-
-    for (j = 0u; j <= (n2 - 1u); j++)
-    {
-      /*  index calculation for the coefficients */
-      C1 = _SIMD32_OFFSET(pCoef16 + (2u * ic));
-      C2 = _SIMD32_OFFSET(pCoef16 + (4u * ic));
-      C3 = _SIMD32_OFFSET(pCoef16 + (6u * ic));
-
-      /*  Twiddle coefficients index modifier */
-      ic = ic + twidCoefModifier;
-
-      /*  Butterfly implementation */
-      for (i0 = j; i0 < fftLen; i0 += n1)
-      {
-        /*  index calculation for the input as, */
-        /*  pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
-        i1 = i0 + n2;
-        i2 = i1 + n2;
-        i3 = i2 + n2;
-
-        /*  Reading i0, i0+fftLen/2 inputs */
-        /* Read ya (real), xa(imag) input */
-        T = _SIMD32_OFFSET(pSrc16 + (2u * i0));
-
-        /* Read yc (real), xc(imag) input */
-        S = _SIMD32_OFFSET(pSrc16 + (2u * i2));
-
-        /* R = packed( (ya + yc), (xa + xc)) */
-        R = __QADD16(T, S);
-
-        /* S = packed((ya - yc), (xa - xc)) */
-        S = __QSUB16(T, S);
-
-        /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
-        /* Read yb (real), xb(imag) input */
-        T = _SIMD32_OFFSET(pSrc16 + (2u * i1));
-
-        /* Read yd (real), xd(imag) input */
-        U = _SIMD32_OFFSET(pSrc16 + (2u * i3));
-
-        /* T = packed( (yb + yd), (xb + xd)) */
-        T = __QADD16(T, U);
-
-        /*  writing the butterfly processed i0 sample */
-
-        /* xa' = xa + xb + xc + xd */
-        /* ya' = ya + yb + yc + yd */
-        out1 = __SHADD16(R, T);
-        in = ((int16_t) (out1 & 0xFFFF)) >> 1;
-        out1 = ((out1 >> 1) & 0xFFFF0000) | (in & 0xFFFF);
-        _SIMD32_OFFSET(pSrc16 + (2u * i0)) = out1;
-
-        /* R = packed( (ya + yc) - (yb + yd), (xa + xc) - (xb + xd)) */
-        R = __SHSUB16(R, T);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */
-        out1 = __SMUAD(C2, R) >> 16u;
-
-        /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
-        out2 = __SMUSDX(C2, R);
-
-#else
-
-        /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
-        out1 = __SMUSDX(R, C2) >> 16u;
-
-        /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */
-        out2 = __SMUAD(C2, R);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-        /*  Reading i0+3fftLen/4 */
-        /* Read yb (real), xb(imag) input */
-        T = _SIMD32_OFFSET(pSrc16 + (2u * i1));
-
-        /*  writing the butterfly processed i0 + fftLen/4 sample */
-        /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
-        /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
-        _SIMD32_OFFSET(pSrc16 + (2u * i1)) =
-          ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
-
-        /*  Butterfly calculations */
-
-        /* Read yd (real), xd(imag) input */
-        U = _SIMD32_OFFSET(pSrc16 + (2u * i3));
-
-        /* T = packed(yb-yd, xb-xd) */
-        T = __QSUB16(T, U);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
-        R = __SHASX(S, T);
-
-        /* S = packed((ya-yc) - (xb- xd),  (xa-xc) + (yb-yd)) */
-        S = __SHSAX(S, T);
-
-
-        /*  Butterfly process for the i0+fftLen/2 sample */
-        out1 = __SMUAD(C1, S) >> 16u;
-        out2 = __SMUSDX(C1, S);
-
-#else
-
-        /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
-        R = __SHSAX(S, T);
-
-        /* S = packed((ya-yc) - (xb- xd),  (xa-xc) + (yb-yd)) */
-        S = __SHASX(S, T);
-
-
-        /*  Butterfly process for the i0+fftLen/2 sample */
-        out1 = __SMUSDX(S, C1) >> 16u;
-        out2 = __SMUAD(C1, S);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-        /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
-        /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
-        _SIMD32_OFFSET(pSrc16 + (2u * i2)) =
-          ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
-
-        /*  Butterfly process for the i0+3fftLen/4 sample */
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        out1 = __SMUAD(C3, R) >> 16u;
-        out2 = __SMUSDX(C3, R);
-
-#else
-
-        out1 = __SMUSDX(R, C3) >> 16u;
-        out2 = __SMUAD(C3, R);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-        /* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */
-        /* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */
-        _SIMD32_OFFSET(pSrc16 + (2u * i3)) =
-          ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
-      }
-    }
-    /*  Twiddle coefficients index modifier */
-    twidCoefModifier <<= 2u;
-  }
-  /* end of middle stage process */
-
-
-  /* data is in 10.6(q6) format for the 1024 point */
-  /* data is in 8.8(q8) format for the 256 point */
-  /* data is in 6.10(q10) format for the 64 point */
-  /* data is in 4.12(q12) format for the 16 point */
-
-  /*  Initializations for the last stage */
-  j = fftLen >> 2;
-
-  ptr1 = &pSrc16[0];
-
-  /* start of last stage process */
-
-  /*  Butterfly implementation */
-  do
-  {
-    /* Read xa (real), ya(imag) input */
-    xaya = *__SIMD32(ptr1)++;
-
-    /* Read xb (real), yb(imag) input */
-    xbyb = *__SIMD32(ptr1)++;
-
-    /* Read xc (real), yc(imag) input */
-    xcyc = *__SIMD32(ptr1)++;
-
-    /* Read xd (real), yd(imag) input */
-    xdyd = *__SIMD32(ptr1)++;
-
-    /* R = packed((ya + yc), (xa + xc)) */
-    R = __QADD16(xaya, xcyc);
-
-    /* T = packed((yb + yd), (xb + xd)) */
-    T = __QADD16(xbyb, xdyd);
-
-    /* pointer updation for writing */
-    ptr1 = ptr1 - 8u;
-
-
-    /* xa' = xa + xb + xc + xd */
-    /* ya' = ya + yb + yc + yd */
-    *__SIMD32(ptr1)++ = __SHADD16(R, T);
-
-    /* T = packed((yb + yd), (xb + xd)) */
-    T = __QADD16(xbyb, xdyd);
-
-    /* xc' = (xa-xb+xc-xd) */
-    /* yc' = (ya-yb+yc-yd) */
-    *__SIMD32(ptr1)++ = __SHSUB16(R, T);
-
-    /* S = packed((ya - yc), (xa - xc)) */
-    S = __QSUB16(xaya, xcyc);
-
-    /* Read yd (real), xd(imag) input */
-    /* T = packed( (yb - yd), (xb - xd))  */
-    U = __QSUB16(xbyb, xdyd);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    /* xb' = (xa+yb-xc-yd) */
-    /* yb' = (ya-xb-yc+xd) */
-    *__SIMD32(ptr1)++ = __SHSAX(S, U);
-
-
-    /* xd' = (xa-yb-xc+yd) */
-    /* yd' = (ya+xb-yc-xd) */
-    *__SIMD32(ptr1)++ = __SHASX(S, U);
-
-#else
-
-    /* xb' = (xa+yb-xc-yd) */
-    /* yb' = (ya-xb-yc+xd) */
-    *__SIMD32(ptr1)++ = __SHASX(S, U);
-
-
-    /* xd' = (xa-yb-xc+yd) */
-    /* yd' = (ya+xb-yc-xd) */
-    *__SIMD32(ptr1)++ = __SHSAX(S, U);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-  } while(--j);
-
-  /* end of last stage process */
-
-  /* output is in 11.5(q5) format for the 1024 point */
-  /* output is in 9.7(q7) format for the 256 point   */
-  /* output is in 7.9(q9) format for the 64 point  */
-  /* output is in 5.11(q11) format for the 16 point  */
-
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  q15_t R0, R1, S0, S1, T0, T1, U0, U1;
-  q15_t Co1, Si1, Co2, Si2, Co3, Si3, out1, out2;
-  uint32_t n1, n2, ic, i0, i1, i2, i3, j, k;
-
-  /* Total process is divided into three stages */
-
-  /* process first stage, middle stages, & last stage */
-
-  /*  Initializations for the first stage */
-  n2 = fftLen;
-  n1 = n2;
-
-  /* n2 = fftLen/4 */
-  n2 >>= 2u;
-
-  /* Index for twiddle coefficient */
-  ic = 0u;
-
-  /* Index for input read and output write */
-  i0 = 0u;
-  j = n2;
-
-  /* Input is in 1.15(q15) format */
-
-  /*  start of first stage process */
-  do
-  {
-    /*  Butterfly implementation */
-
-    /*  index calculation for the input as, */
-    /*  pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
-    i1 = i0 + n2;
-    i2 = i1 + n2;
-    i3 = i2 + n2;
-
-    /*  Reading i0, i0+fftLen/2 inputs */
-
-    /* input is down scale by 4 to avoid overflow */
-    /* Read ya (real), xa(imag) input */
-    T0 = pSrc16[i0 * 2u] >> 2u;
-    T1 = pSrc16[(i0 * 2u) + 1u] >> 2u;
-
-    /* input is down scale by 4 to avoid overflow */
-    /* Read yc (real), xc(imag) input */
-    S0 = pSrc16[i2 * 2u] >> 2u;
-    S1 = pSrc16[(i2 * 2u) + 1u] >> 2u;
-
-    /* R0 = (ya + yc) */
-    R0 = __SSAT(T0 + S0, 16u);
-    /* R1 = (xa + xc) */
-    R1 = __SSAT(T1 + S1, 16u);
-
-    /* S0 = (ya - yc) */
-    S0 = __SSAT(T0 - S0, 16);
-    /* S1 = (xa - xc) */
-    S1 = __SSAT(T1 - S1, 16);
-
-    /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
-    /* input is down scale by 4 to avoid overflow */
-    /* Read yb (real), xb(imag) input */
-    T0 = pSrc16[i1 * 2u] >> 2u;
-    T1 = pSrc16[(i1 * 2u) + 1u] >> 2u;
-
-    /* input is down scale by 4 to avoid overflow */
-    /* Read yd (real), xd(imag) input */
-    U0 = pSrc16[i3 * 2u] >> 2u;
-    U1 = pSrc16[(i3 * 2u) + 1] >> 2u;
-
-    /* T0 = (yb + yd) */
-    T0 = __SSAT(T0 + U0, 16u);
-    /* T1 = (xb + xd) */
-    T1 = __SSAT(T1 + U1, 16u);
-
-    /*  writing the butterfly processed i0 sample */
-    /* ya' = ya + yb + yc + yd */
-    /* xa' = xa + xb + xc + xd */
-    pSrc16[i0 * 2u] = (R0 >> 1u) + (T0 >> 1u);
-    pSrc16[(i0 * 2u) + 1u] = (R1 >> 1u) + (T1 >> 1u);
-
-    /* R0 = (ya + yc) - (yb + yd) */
-    /* R1 = (xa + xc) - (xb + xd) */
-    R0 = __SSAT(R0 - T0, 16u);
-    R1 = __SSAT(R1 - T1, 16u);
-
-    /* co2 & si2 are read from Coefficient pointer */
-    Co2 = pCoef16[2u * ic * 2u];
-    Si2 = pCoef16[(2u * ic * 2u) + 1];
-
-    /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
-    out1 = (short) ((Co2 * R0 + Si2 * R1) >> 16u);
-    /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
-    out2 = (short) ((-Si2 * R0 + Co2 * R1) >> 16u);
-
-    /*  Reading i0+fftLen/4 */
-    /* input is down scale by 4 to avoid overflow */
-    /* T0 = yb, T1 =  xb */
-    T0 = pSrc16[i1 * 2u] >> 2;
-    T1 = pSrc16[(i1 * 2u) + 1] >> 2;
-
-    /* writing the butterfly processed i0 + fftLen/4 sample */
-    /* writing output(xc', yc') in little endian format */
-    pSrc16[i1 * 2u] = out1;
-    pSrc16[(i1 * 2u) + 1] = out2;
-
-    /*  Butterfly calculations */
-    /* input is down scale by 4 to avoid overflow */
-    /* U0 = yd, U1 = xd */
-    U0 = pSrc16[i3 * 2u] >> 2;
-    U1 = pSrc16[(i3 * 2u) + 1] >> 2;
-    /* T0 = yb-yd */
-    T0 = __SSAT(T0 - U0, 16);
-    /* T1 = xb-xd */
-    T1 = __SSAT(T1 - U1, 16);
-
-    /* R1 = (ya-yc) + (xb- xd),  R0 = (xa-xc) - (yb-yd)) */
-    R0 = (short) __SSAT((q31_t) (S0 - T1), 16);
-    R1 = (short) __SSAT((q31_t) (S1 + T0), 16);
-
-    /* S1 = (ya-yc) - (xb- xd), S0 = (xa-xc) + (yb-yd)) */
-    S0 = (short) __SSAT(((q31_t) S0 + T1), 16u);
-    S1 = (short) __SSAT(((q31_t) S1 - T0), 16u);
-
-    /* co1 & si1 are read from Coefficient pointer */
-    Co1 = pCoef16[ic * 2u];
-    Si1 = pCoef16[(ic * 2u) + 1];
-    /*  Butterfly process for the i0+fftLen/2 sample */
-    /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
-    out1 = (short) ((Si1 * S1 + Co1 * S0) >> 16);
-    /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
-    out2 = (short) ((-Si1 * S0 + Co1 * S1) >> 16);
-
-    /* writing output(xb', yb') in little endian format */
-    pSrc16[i2 * 2u] = out1;
-    pSrc16[(i2 * 2u) + 1] = out2;
-
-    /* Co3 & si3 are read from Coefficient pointer */
-    Co3 = pCoef16[3u * (ic * 2u)];
-    Si3 = pCoef16[(3u * (ic * 2u)) + 1];
-    /*  Butterfly process for the i0+3fftLen/4 sample */
-    /* xd' = (xa-yb-xc+yd)* Co3 + (ya+xb-yc-xd)* (si3) */
-    out1 = (short) ((Si3 * R1 + Co3 * R0) >> 16u);
-    /* yd' = (ya+xb-yc-xd)* Co3 - (xa-yb-xc+yd)* (si3) */
-    out2 = (short) ((-Si3 * R0 + Co3 * R1) >> 16u);
-    /* writing output(xd', yd') in little endian format */
-    pSrc16[i3 * 2u] = out1;
-    pSrc16[(i3 * 2u) + 1] = out2;
-
-    /*  Twiddle coefficients index modifier */
-    ic = ic + twidCoefModifier;
-
-    /*  Updating input index */
-    i0 = i0 + 1u;
-
-  } while(--j);
-  /* data is in 4.11(q11) format */
-
-  /* end of first stage process */
-
-
-  /* start of middle stage process */
-
-  /*  Twiddle coefficients index modifier */
-  twidCoefModifier <<= 2u;
-
-  /*  Calculation of Middle stage */
-  for (k = fftLen / 4u; k > 4u; k >>= 2u)
-  {
-    /*  Initializations for the middle stage */
-    n1 = n2;
-    n2 >>= 2u;
-    ic = 0u;
-
-    for (j = 0u; j <= (n2 - 1u); j++)
-    {
-      /*  index calculation for the coefficients */
-      Co1 = pCoef16[ic * 2u];
-      Si1 = pCoef16[(ic * 2u) + 1u];
-      Co2 = pCoef16[2u * (ic * 2u)];
-      Si2 = pCoef16[(2u * (ic * 2u)) + 1u];
-      Co3 = pCoef16[3u * (ic * 2u)];
-      Si3 = pCoef16[(3u * (ic * 2u)) + 1u];
-
-      /*  Twiddle coefficients index modifier */
-      ic = ic + twidCoefModifier;
-
-      /*  Butterfly implementation */
-      for (i0 = j; i0 < fftLen; i0 += n1)
-      {
-        /*  index calculation for the input as, */
-        /*  pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
-        i1 = i0 + n2;
-        i2 = i1 + n2;
-        i3 = i2 + n2;
-
-        /*  Reading i0, i0+fftLen/2 inputs */
-        /* Read ya (real), xa(imag) input */
-        T0 = pSrc16[i0 * 2u];
-        T1 = pSrc16[(i0 * 2u) + 1u];
-
-        /* Read yc (real), xc(imag) input */
-        S0 = pSrc16[i2 * 2u];
-        S1 = pSrc16[(i2 * 2u) + 1u];
-
-        /* R0 = (ya + yc), R1 = (xa + xc) */
-        R0 = __SSAT(T0 + S0, 16);
-        R1 = __SSAT(T1 + S1, 16);
-
-        /* S0 = (ya - yc), S1 =(xa - xc) */
-        S0 = __SSAT(T0 - S0, 16);
-        S1 = __SSAT(T1 - S1, 16);
-
-        /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
-        /* Read yb (real), xb(imag) input */
-        T0 = pSrc16[i1 * 2u];
-        T1 = pSrc16[(i1 * 2u) + 1u];
-
-        /* Read yd (real), xd(imag) input */
-        U0 = pSrc16[i3 * 2u];
-        U1 = pSrc16[(i3 * 2u) + 1u];
-
-
-        /* T0 = (yb + yd), T1 = (xb + xd) */
-        T0 = __SSAT(T0 + U0, 16);
-        T1 = __SSAT(T1 + U1, 16);
-
-        /*  writing the butterfly processed i0 sample */
-
-        /* xa' = xa + xb + xc + xd */
-        /* ya' = ya + yb + yc + yd */
-        out1 = ((R0 >> 1u) + (T0 >> 1u)) >> 1u;
-        out2 = ((R1 >> 1u) + (T1 >> 1u)) >> 1u;
-
-        pSrc16[i0 * 2u] = out1;
-        pSrc16[(2u * i0) + 1u] = out2;
-
-        /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */
-        R0 = (R0 >> 1u) - (T0 >> 1u);
-        R1 = (R1 >> 1u) - (T1 >> 1u);
-
-        /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */
-        out1 = (short) ((Co2 * R0 + Si2 * R1) >> 16u);
-
-        /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
-        out2 = (short) ((-Si2 * R0 + Co2 * R1) >> 16u);
-
-        /*  Reading i0+3fftLen/4 */
-        /* Read yb (real), xb(imag) input */
-        T0 = pSrc16[i1 * 2u];
-        T1 = pSrc16[(i1 * 2u) + 1u];
-
-        /*  writing the butterfly processed i0 + fftLen/4 sample */
-        /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
-        /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
-        pSrc16[i1 * 2u] = out1;
-        pSrc16[(i1 * 2u) + 1u] = out2;
-
-        /*  Butterfly calculations */
-
-        /* Read yd (real), xd(imag) input */
-        U0 = pSrc16[i3 * 2u];
-        U1 = pSrc16[(i3 * 2u) + 1u];
-
-        /* T0 = yb-yd, T1 = xb-xd */
-        T0 = __SSAT(T0 - U0, 16);
-        T1 = __SSAT(T1 - U1, 16);
-
-        /* R0 = (ya-yc) + (xb- xd), R1 = (xa-xc) - (yb-yd)) */
-        R0 = (S0 >> 1u) - (T1 >> 1u);
-        R1 = (S1 >> 1u) + (T0 >> 1u);
-
-        /* S0 = (ya-yc) - (xb- xd), S1 = (xa-xc) + (yb-yd)) */
-        S0 = (S0 >> 1u) + (T1 >> 1u);
-        S1 = (S1 >> 1u) - (T0 >> 1u);
-
-        /*  Butterfly process for the i0+fftLen/2 sample */
-        out1 = (short) ((Co1 * S0 + Si1 * S1) >> 16u);
-
-        out2 = (short) ((-Si1 * S0 + Co1 * S1) >> 16u);
-
-        /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
-        /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
-        pSrc16[i2 * 2u] = out1;
-        pSrc16[(i2 * 2u) + 1u] = out2;
-
-        /*  Butterfly process for the i0+3fftLen/4 sample */
-        out1 = (short) ((Si3 * R1 + Co3 * R0) >> 16u);
-
-        out2 = (short) ((-Si3 * R0 + Co3 * R1) >> 16u);
-        /* xd' = (xa-yb-xc+yd)* Co3 + (ya+xb-yc-xd)* (si3) */
-        /* yd' = (ya+xb-yc-xd)* Co3 - (xa-yb-xc+yd)* (si3) */
-        pSrc16[i3 * 2u] = out1;
-        pSrc16[(i3 * 2u) + 1u] = out2;
-      }
-    }
-    /*  Twiddle coefficients index modifier */
-    twidCoefModifier <<= 2u;
-  }
-  /* end of middle stage process */
-
-
-  /* data is in 10.6(q6) format for the 1024 point */
-  /* data is in 8.8(q8) format for the 256 point */
-  /* data is in 6.10(q10) format for the 64 point */
-  /* data is in 4.12(q12) format for the 16 point */
-
-  /*  Initializations for the last stage */
-  n1 = n2;
-  n2 >>= 2u;
-
-  /* start of last stage process */
-
-  /*  Butterfly implementation */
-  for (i0 = 0u; i0 <= (fftLen - n1); i0 += n1)
-  {
-    /*  index calculation for the input as, */
-    /*  pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
-    i1 = i0 + n2;
-    i2 = i1 + n2;
-    i3 = i2 + n2;
-
-    /*  Reading i0, i0+fftLen/2 inputs */
-    /* Read ya (real), xa(imag) input */
-    T0 = pSrc16[i0 * 2u];
-    T1 = pSrc16[(i0 * 2u) + 1u];
-
-    /* Read yc (real), xc(imag) input */
-    S0 = pSrc16[i2 * 2u];
-    S1 = pSrc16[(i2 * 2u) + 1u];
-
-    /* R0 = (ya + yc), R1 = (xa + xc) */
-    R0 = __SSAT(T0 + S0, 16u);
-    R1 = __SSAT(T1 + S1, 16u);
-
-    /* S0 = (ya - yc), S1 = (xa - xc) */
-    S0 = __SSAT(T0 - S0, 16u);
-    S1 = __SSAT(T1 - S1, 16u);
-
-    /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
-    /* Read yb (real), xb(imag) input */
-    T0 = pSrc16[i1 * 2u];
-    T1 = pSrc16[(i1 * 2u) + 1u];
-    /* Read yd (real), xd(imag) input */
-    U0 = pSrc16[i3 * 2u];
-    U1 = pSrc16[(i3 * 2u) + 1u];
-
-    /* T0 = (yb + yd), T1 = (xb + xd)) */
-    T0 = __SSAT(T0 + U0, 16u);
-    T1 = __SSAT(T1 + U1, 16u);
-
-    /*  writing the butterfly processed i0 sample */
-    /* xa' = xa + xb + xc + xd */
-    /* ya' = ya + yb + yc + yd */
-    pSrc16[i0 * 2u] = (R0 >> 1u) + (T0 >> 1u);
-    pSrc16[(i0 * 2u) + 1u] = (R1 >> 1u) + (T1 >> 1u);
-
-    /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */
-    R0 = (R0 >> 1u) - (T0 >> 1u);
-    R1 = (R1 >> 1u) - (T1 >> 1u);
-    /* Read yb (real), xb(imag) input */
-    T0 = pSrc16[i1 * 2u];
-    T1 = pSrc16[(i1 * 2u) + 1u];
-
-    /*  writing the butterfly processed i0 + fftLen/4 sample */
-    /* xc' = (xa-xb+xc-xd) */
-    /* yc' = (ya-yb+yc-yd) */
-    pSrc16[i1 * 2u] = R0;
-    pSrc16[(i1 * 2u) + 1u] = R1;
-
-    /* Read yd (real), xd(imag) input */
-    U0 = pSrc16[i3 * 2u];
-    U1 = pSrc16[(i3 * 2u) + 1u];
-    /* T0 = (yb - yd), T1 = (xb - xd)  */
-    T0 = __SSAT(T0 - U0, 16u);
-    T1 = __SSAT(T1 - U1, 16u);
-
-    /*  writing the butterfly processed i0 + fftLen/2 sample */
-    /* xb' = (xa+yb-xc-yd) */
-    /* yb' = (ya-xb-yc+xd) */
-    pSrc16[i2 * 2u] = (S0 >> 1u) + (T1 >> 1u);
-    pSrc16[(i2 * 2u) + 1u] = (S1 >> 1u) - (T0 >> 1u);
-
-    /*  writing the butterfly processed i0 + 3fftLen/4 sample */
-    /* xd' = (xa-yb-xc+yd) */
-    /* yd' = (ya+xb-yc-xd) */
-    pSrc16[i3 * 2u] = (S0 >> 1u) - (T1 >> 1u);
-    pSrc16[(i3 * 2u) + 1u] = (S1 >> 1u) + (T0 >> 1u);
-
-  }
-
-  /* end of last stage process */
-
-  /* output is in 11.5(q5) format for the 1024 point */
-  /* output is in 9.7(q7) format for the 256 point   */
-  /* output is in 7.9(q9) format for the 64 point  */
-  /* output is in 5.11(q11) format for the 16 point  */
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-}
-
-
-/**    
- * @brief  Core function for the Q15 CIFFT butterfly process.   
- * @param[in, out] *pSrc16          points to the in-place buffer of Q15 data type.   
- * @param[in]      fftLen           length of the FFT.   
- * @param[in]      *pCoef16         points to twiddle coefficient buffer.   
- * @param[in]      twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
- * @return none.   
- */
-
-/*    
-* Radix-4 IFFT algorithm used is :    
-*    
-* CIFFT uses same twiddle coefficients as CFFT function    
-*  x[k] = x[n] + (j)k * x[n + fftLen/4] + (-1)k * x[n+fftLen/2] + (-j)k * x[n+3*fftLen/4]    
-*    
-*    
-* IFFT is implemented with following changes in equations from FFT    
-*    
-* Input real and imaginary data:    
-* x(n) = xa + j * ya    
-* x(n+N/4 ) = xb + j * yb    
-* x(n+N/2 ) = xc + j * yc    
-* x(n+3N 4) = xd + j * yd    
-*    
-*    
-* Output real and imaginary data:    
-* x(4r) = xa'+ j * ya'    
-* x(4r+1) = xb'+ j * yb'    
-* x(4r+2) = xc'+ j * yc'    
-* x(4r+3) = xd'+ j * yd'    
-*    
-*    
-* Twiddle factors for radix-4 IFFT:    
-* Wn = co1 + j * (si1)    
-* W2n = co2 + j * (si2)    
-* W3n = co3 + j * (si3)    
-    
-* The real and imaginary output values for the radix-4 butterfly are    
-* xa' = xa + xb + xc + xd    
-* ya' = ya + yb + yc + yd    
-* xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1)    
-* yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1)    
-* xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2)    
-* yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2)    
-* xd' = (xa+yb-xc-yd)* co3 - (ya-xb-yc+xd)* (si3)    
-* yd' = (ya-xb-yc+xd)* co3 + (xa+yb-xc-yd)* (si3)    
-*    
-*/
-
-void arm_radix4_butterfly_inverse_q15(
-  q15_t * pSrc16,
-  uint32_t fftLen,
-  q15_t * pCoef16,
-  uint32_t twidCoefModifier)
-{
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  q31_t R, S, T, U;
-  q31_t C1, C2, C3, out1, out2;
-  uint32_t n1, n2, ic, i0, i1, i2, i3, j, k;
-  q15_t in;
-
-  q15_t *ptr1;
-
-
-
-  q31_t xaya, xbyb, xcyc, xdyd;
-
-  /* Total process is divided into three stages */
-
-  /* process first stage, middle stages, & last stage */
-
-  /*  Initializations for the first stage */
-  n2 = fftLen;
-  n1 = n2;
-
-  /* n2 = fftLen/4 */
-  n2 >>= 2u;
-
-  /* Index for twiddle coefficient */
-  ic = 0u;
-
-  /* Index for input read and output write */
-  i0 = 0u;
-  j = n2;
-
-  /* Input is in 1.15(q15) format */
-
-  /*  start of first stage process */
-  do
-  {
-    /*  Butterfly implementation */
-
-    /*  index calculation for the input as, */
-    /*  pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
-    i1 = i0 + n2;
-    i2 = i1 + n2;
-    i3 = i2 + n2;
-
-    /*  Reading i0, i0+fftLen/2 inputs */
-    /* Read ya (real), xa(imag) input */
-    T = _SIMD32_OFFSET(pSrc16 + (2u * i0));
-    in = ((int16_t) (T & 0xFFFF)) >> 2;
-    T = ((T >> 2) & 0xFFFF0000) | (in & 0xFFFF);
-
-    /* Read yc (real), xc(imag) input */
-    S = _SIMD32_OFFSET(pSrc16 + (2u * i2));
-    in = ((int16_t) (S & 0xFFFF)) >> 2;
-    S = ((S >> 2) & 0xFFFF0000) | (in & 0xFFFF);
-
-    /* R = packed((ya + yc), (xa + xc) ) */
-    R = __QADD16(T, S);
-
-    /* S = packed((ya - yc), (xa - xc) ) */
-    S = __QSUB16(T, S);
-
-    /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
-    /* Read yb (real), xb(imag) input */
-    T = _SIMD32_OFFSET(pSrc16 + (2u * i1));
-    in = ((int16_t) (T & 0xFFFF)) >> 2;
-    T = ((T >> 2) & 0xFFFF0000) | (in & 0xFFFF);
-
-    /* Read yd (real), xd(imag) input */
-    U = _SIMD32_OFFSET(pSrc16 + (2u * i3));
-    in = ((int16_t) (U & 0xFFFF)) >> 2;
-    U = ((U >> 2) & 0xFFFF0000) | (in & 0xFFFF);
-
-    /* T = packed((yb + yd), (xb + xd) ) */
-    T = __QADD16(T, U);
-
-    /*  writing the butterfly processed i0 sample */
-    /* xa' = xa + xb + xc + xd */
-    /* ya' = ya + yb + yc + yd */
-    _SIMD32_OFFSET(pSrc16 + (2u * i0)) = __SHADD16(R, T);
-
-    /* R = packed((ya + yc) - (yb + yd), (xa + xc)- (xb + xd)) */
-    R = __QSUB16(R, T);
-
-    /* co2 & si2 are read from SIMD Coefficient pointer */
-    C2 = _SIMD32_OFFSET(pCoef16 + (4u * ic));
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
-    out1 = __SMUSD(C2, R) >> 16u;
-    /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
-    out2 = __SMUADX(C2, R);
-
-#else
-
-    /* xc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
-    out1 = __SMUADX(C2, R) >> 16u;
-    /* yc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
-    out2 = __SMUSD(__QSUB16(0, C2), R);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-    /*  Reading i0+fftLen/4 */
-    /* T = packed(yb, xb) */
-    T = _SIMD32_OFFSET(pSrc16 + (2u * i1));
-    in = ((int16_t) (T & 0xFFFF)) >> 2;
-    T = ((T >> 2) & 0xFFFF0000) | (in & 0xFFFF);
-
-    /* writing the butterfly processed i0 + fftLen/4 sample */
-    /* writing output(xc', yc') in little endian format */
-    _SIMD32_OFFSET(pSrc16 + (2u * i1)) =
-      (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
-
-    /*  Butterfly calculations */
-    /* U = packed(yd, xd) */
-    U = _SIMD32_OFFSET(pSrc16 + (2u * i3));
-    in = ((int16_t) (U & 0xFFFF)) >> 2;
-    U = ((U >> 2) & 0xFFFF0000) | (in & 0xFFFF);
-
-    /* T = packed(yb-yd, xb-xd) */
-    T = __QSUB16(T, U);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
-    R = __QSAX(S, T);
-    /* S = packed((ya-yc) + (xb- xd),  (xa-xc) - (yb-yd)) */
-    S = __QASX(S, T);
-
-#else
-
-    /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
-    R = __QASX(S, T);
-    /* S = packed((ya-yc) - (xb- xd),  (xa-xc) + (yb-yd)) */
-    S = __QSAX(S, T);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-    /* co1 & si1 are read from SIMD Coefficient pointer */
-    C1 = _SIMD32_OFFSET(pCoef16 + (2u * ic));
-    /*  Butterfly process for the i0+fftLen/2 sample */
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
-    out1 = __SMUSD(C1, S) >> 16u;
-    /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
-    out2 = __SMUADX(C1, S);
-
-#else
-
-    /* xb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
-    out1 = __SMUADX(C1, S) >> 16u;
-    /* yb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
-    out2 = __SMUSD(__QSUB16(0, C1), S);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-    /* writing output(xb', yb') in little endian format */
-    _SIMD32_OFFSET(pSrc16 + (2u * i2)) =
-      ((out2) & 0xFFFF0000) | ((out1) & 0x0000FFFF);
-
-
-    /* co3 & si3 are read from SIMD Coefficient pointer */
-    C3 = _SIMD32_OFFSET(pCoef16 + (6u * ic));
-    /*  Butterfly process for the i0+3fftLen/4 sample */
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    /* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */
-    out1 = __SMUSD(C3, R) >> 16u;
-    /* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */
-    out2 = __SMUADX(C3, R);
-
-#else
-
-    /* xd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */
-    out1 = __SMUADX(C3, R) >> 16u;
-    /* yd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */
-    out2 = __SMUSD(__QSUB16(0, C3), R);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-    /* writing output(xd', yd') in little endian format */
-    _SIMD32_OFFSET(pSrc16 + (2u * i3)) =
-      ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
-
-    /*  Twiddle coefficients index modifier */
-    ic = ic + twidCoefModifier;
-
-    /*  Updating input index */
-    i0 = i0 + 1u;
-
-  } while(--j);
-  /* data is in 4.11(q11) format */
-
-  /* end of first stage process */
-
-
-  /* start of middle stage process */
-
-  /*  Twiddle coefficients index modifier */
-  twidCoefModifier <<= 2u;
-
-  /*  Calculation of Middle stage */
-  for (k = fftLen / 4u; k > 4u; k >>= 2u)
-  {
-    /*  Initializations for the middle stage */
-    n1 = n2;
-    n2 >>= 2u;
-    ic = 0u;
-
-    for (j = 0u; j <= (n2 - 1u); j++)
-    {
-      /*  index calculation for the coefficients */
-      C1 = _SIMD32_OFFSET(pCoef16 + (2u * ic));
-      C2 = _SIMD32_OFFSET(pCoef16 + (4u * ic));
-      C3 = _SIMD32_OFFSET(pCoef16 + (6u * ic));
-
-      /*  Twiddle coefficients index modifier */
-      ic = ic + twidCoefModifier;
-
-      /*  Butterfly implementation */
-      for (i0 = j; i0 < fftLen; i0 += n1)
-      {
-        /*  index calculation for the input as, */
-        /*  pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
-        i1 = i0 + n2;
-        i2 = i1 + n2;
-        i3 = i2 + n2;
-
-        /*  Reading i0, i0+fftLen/2 inputs */
-        /* Read ya (real), xa(imag) input */
-        T = _SIMD32_OFFSET(pSrc16 + (2u * i0));
-
-        /* Read yc (real), xc(imag) input */
-        S = _SIMD32_OFFSET(pSrc16 + (2u * i2));
-
-        /* R = packed( (ya + yc), (xa + xc)) */
-        R = __QADD16(T, S);
-
-        /* S = packed((ya - yc), (xa - xc)) */
-        S = __QSUB16(T, S);
-
-        /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
-        /* Read yb (real), xb(imag) input */
-        T = _SIMD32_OFFSET(pSrc16 + (2u * i1));
-
-        /* Read yd (real), xd(imag) input */
-        U = _SIMD32_OFFSET(pSrc16 + (2u * i3));
-
-        /* T = packed( (yb + yd), (xb + xd)) */
-        T = __QADD16(T, U);
-
-        /*  writing the butterfly processed i0 sample */
-
-        /* xa' = xa + xb + xc + xd */
-        /* ya' = ya + yb + yc + yd */
-        out1 = __SHADD16(R, T);
-        in = ((int16_t) (out1 & 0xFFFF)) >> 1;
-        out1 = ((out1 >> 1) & 0xFFFF0000) | (in & 0xFFFF);
-        _SIMD32_OFFSET(pSrc16 + (2u * i0)) = out1;
-
-        /* R = packed( (ya + yc) - (yb + yd), (xa + xc) - (xb + xd)) */
-        R = __SHSUB16(R, T);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */
-        out1 = __SMUSD(C2, R) >> 16u;
-
-        /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
-        out2 = __SMUADX(C2, R);
-
-#else
-
-        /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
-        out1 = __SMUADX(R, C2) >> 16u;
-
-        /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */
-        out2 = __SMUSD(__QSUB16(0, C2), R);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-        /*  Reading i0+3fftLen/4 */
-        /* Read yb (real), xb(imag) input */
-        T = _SIMD32_OFFSET(pSrc16 + (2u * i1));
-
-        /*  writing the butterfly processed i0 + fftLen/4 sample */
-        /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
-        /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
-        _SIMD32_OFFSET(pSrc16 + (2u * i1)) =
-          ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
-
-        /*  Butterfly calculations */
-
-        /* Read yd (real), xd(imag) input */
-        U = _SIMD32_OFFSET(pSrc16 + (2u * i3));
-
-        /* T = packed(yb-yd, xb-xd) */
-        T = __QSUB16(T, U);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
-        R = __SHSAX(S, T);
-
-        /* S = packed((ya-yc) - (xb- xd),  (xa-xc) + (yb-yd)) */
-        S = __SHASX(S, T);
-
-
-        /*  Butterfly process for the i0+fftLen/2 sample */
-        out1 = __SMUSD(C1, S) >> 16u;
-        out2 = __SMUADX(C1, S);
-
-#else
-
-        /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
-        R = __SHASX(S, T);
-
-        /* S = packed((ya-yc) - (xb- xd),  (xa-xc) + (yb-yd)) */
-        S = __SHSAX(S, T);
-
-
-        /*  Butterfly process for the i0+fftLen/2 sample */
-        out1 = __SMUADX(S, C1) >> 16u;
-        out2 = __SMUSD(__QSUB16(0, C1), S);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-        /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
-        /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
-        _SIMD32_OFFSET(pSrc16 + (2u * i2)) =
-          ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
-
-        /*  Butterfly process for the i0+3fftLen/4 sample */
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-        out1 = __SMUSD(C3, R) >> 16u;
-        out2 = __SMUADX(C3, R);
-
-#else
-
-        out1 = __SMUADX(C3, R) >> 16u;
-        out2 = __SMUSD(__QSUB16(0, C3), R);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-        /* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */
-        /* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */
-        _SIMD32_OFFSET(pSrc16 + (2u * i3)) =
-          ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
-      }
-    }
-    /*  Twiddle coefficients index modifier */
-    twidCoefModifier <<= 2u;
-  }
-  /* end of middle stage process */
-
-  /* data is in 10.6(q6) format for the 1024 point */
-  /* data is in 8.8(q8) format for the 256 point */
-  /* data is in 6.10(q10) format for the 64 point */
-  /* data is in 4.12(q12) format for the 16 point */
-
-  /*  Initializations for the last stage */
-  j = fftLen >> 2;
-
-  ptr1 = &pSrc16[0];
-
-  /* start of last stage process */
-
-  /*  Butterfly implementation */
-  do
-  {
-    /* Read xa (real), ya(imag) input */
-    xaya = *__SIMD32(ptr1)++;
-
-    /* Read xb (real), yb(imag) input */
-    xbyb = *__SIMD32(ptr1)++;
-
-    /* Read xc (real), yc(imag) input */
-    xcyc = *__SIMD32(ptr1)++;
-
-    /* Read xd (real), yd(imag) input */
-    xdyd = *__SIMD32(ptr1)++;
-
-    /* R = packed((ya + yc), (xa + xc)) */
-    R = __QADD16(xaya, xcyc);
-
-    /* T = packed((yb + yd), (xb + xd)) */
-    T = __QADD16(xbyb, xdyd);
-
-    /* pointer updation for writing */
-    ptr1 = ptr1 - 8u;
-
-
-    /* xa' = xa + xb + xc + xd */
-    /* ya' = ya + yb + yc + yd */
-    *__SIMD32(ptr1)++ = __SHADD16(R, T);
-
-    /* T = packed((yb + yd), (xb + xd)) */
-    T = __QADD16(xbyb, xdyd);
-
-    /* xc' = (xa-xb+xc-xd) */
-    /* yc' = (ya-yb+yc-yd) */
-    *__SIMD32(ptr1)++ = __SHSUB16(R, T);
-
-    /* S = packed((ya - yc), (xa - xc)) */
-    S = __QSUB16(xaya, xcyc);
-
-    /* Read yd (real), xd(imag) input */
-    /* T = packed( (yb - yd), (xb - xd))  */
-    U = __QSUB16(xbyb, xdyd);
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    /* xb' = (xa+yb-xc-yd) */
-    /* yb' = (ya-xb-yc+xd) */
-    *__SIMD32(ptr1)++ = __SHASX(S, U);
-
-
-    /* xd' = (xa-yb-xc+yd) */
-    /* yd' = (ya+xb-yc-xd) */
-    *__SIMD32(ptr1)++ = __SHSAX(S, U);
-
-#else
-
-    /* xb' = (xa+yb-xc-yd) */
-    /* yb' = (ya-xb-yc+xd) */
-    *__SIMD32(ptr1)++ = __SHSAX(S, U);
-
-
-    /* xd' = (xa-yb-xc+yd) */
-    /* yd' = (ya+xb-yc-xd) */
-    *__SIMD32(ptr1)++ = __SHASX(S, U);
-
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-  } while(--j);
-
-  /* end of last stage  process */
-
-  /* output is in 11.5(q5) format for the 1024 point */
-  /* output is in 9.7(q7) format for the 256 point   */
-  /* output is in 7.9(q9) format for the 64 point  */
-  /* output is in 5.11(q11) format for the 16 point  */
-
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  q15_t R0, R1, S0, S1, T0, T1, U0, U1;
-  q15_t Co1, Si1, Co2, Si2, Co3, Si3, out1, out2;
-  uint32_t n1, n2, ic, i0, i1, i2, i3, j, k;
-
-  /* Total process is divided into three stages */
-
-  /* process first stage, middle stages, & last stage */
-
-  /*  Initializations for the first stage */
-  n2 = fftLen;
-  n1 = n2;
-
-  /* n2 = fftLen/4 */
-  n2 >>= 2u;
-
-  /* Index for twiddle coefficient */
-  ic = 0u;
-
-  /* Index for input read and output write */
-  i0 = 0u;
-
-  j = n2;
-
-  /* Input is in 1.15(q15) format */
-
-  /*  Start of first stage process */
-  do
-  {
-    /*  Butterfly implementation */
-
-    /*  index calculation for the input as, */
-    /*  pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
-    i1 = i0 + n2;
-    i2 = i1 + n2;
-    i3 = i2 + n2;
-
-    /*  Reading i0, i0+fftLen/2 inputs */
-    /* input is down scale by 4 to avoid overflow */
-    /* Read ya (real), xa(imag) input */
-    T0 = pSrc16[i0 * 2u] >> 2u;
-    T1 = pSrc16[(i0 * 2u) + 1u] >> 2u;
-    /* input is down scale by 4 to avoid overflow */
-    /* Read yc (real), xc(imag) input */
-    S0 = pSrc16[i2 * 2u] >> 2u;
-    S1 = pSrc16[(i2 * 2u) + 1u] >> 2u;
-
-    /* R0 = (ya + yc), R1 = (xa + xc) */
-    R0 = __SSAT(T0 + S0, 16u);
-    R1 = __SSAT(T1 + S1, 16u);
-    /* S0 = (ya - yc), S1 = (xa - xc) */
-    S0 = __SSAT(T0 - S0, 16u);
-    S1 = __SSAT(T1 - S1, 16u);
-
-    /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
-    /* input is down scale by 4 to avoid overflow */
-    /* Read yb (real), xb(imag) input */
-    T0 = pSrc16[i1 * 2u] >> 2u;
-    T1 = pSrc16[(i1 * 2u) + 1u] >> 2u;
-    /* Read yd (real), xd(imag) input */
-    /* input is down scale by 4 to avoid overflow */
-    U0 = pSrc16[i3 * 2u] >> 2u;
-    U1 = pSrc16[(i3 * 2u) + 1u] >> 2u;
-
-    /* T0 = (yb + yd), T1 = (xb + xd) */
-    T0 = __SSAT(T0 + U0, 16u);
-    T1 = __SSAT(T1 + U1, 16u);
-
-    /*  writing the butterfly processed i0 sample */
-    /* xa' = xa + xb + xc + xd */
-    /* ya' = ya + yb + yc + yd */
-    pSrc16[i0 * 2u] = (R0 >> 1u) + (T0 >> 1u);
-    pSrc16[(i0 * 2u) + 1u] = (R1 >> 1u) + (T1 >> 1u);
-
-    /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc)- (xb + xd) */
-    R0 = __SSAT(R0 - T0, 16u);
-    R1 = __SSAT(R1 - T1, 16u);
-    /* co2 & si2 are read from Coefficient pointer */
-    Co2 = pCoef16[2u * ic * 2u];
-    Si2 = pCoef16[(2u * ic * 2u) + 1u];
-    /* xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2) */
-    out1 = (short) ((Co2 * R0 - Si2 * R1) >> 16u);
-    /* yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2) */
-    out2 = (short) ((Si2 * R0 + Co2 * R1) >> 16u);
-
-    /*  Reading i0+fftLen/4 */
-    /* input is down scale by 4 to avoid overflow */
-    /* T0 = yb, T1 = xb */
-    T0 = pSrc16[i1 * 2u] >> 2u;
-    T1 = pSrc16[(i1 * 2u) + 1u] >> 2u;
-
-    /* writing the butterfly processed i0 + fftLen/4 sample */
-    /* writing output(xc', yc') in little endian format */
-    pSrc16[i1 * 2u] = out1;
-    pSrc16[(i1 * 2u) + 1u] = out2;
-
-    /*  Butterfly calculations */
-    /* input is down scale by 4 to avoid overflow */
-    /* U0 = yd, U1 = xd) */
-    U0 = pSrc16[i3 * 2u] >> 2u;
-    U1 = pSrc16[(i3 * 2u) + 1u] >> 2u;
-
-    /* T0 = yb-yd, T1 = xb-xd) */
-    T0 = __SSAT(T0 - U0, 16u);
-    T1 = __SSAT(T1 - U1, 16u);
-    /* R0 = (ya-yc) - (xb- xd) , R1 = (xa-xc) + (yb-yd) */
-    R0 = (short) __SSAT((q31_t) (S0 + T1), 16);
-    R1 = (short) __SSAT((q31_t) (S1 - T0), 16);
-    /* S = (ya-yc) + (xb- xd), S1 = (xa-xc) - (yb-yd) */
-    S0 = (short) __SSAT((q31_t) (S0 - T1), 16);
-    S1 = (short) __SSAT((q31_t) (S1 + T0), 16);
-
-    /* co1 & si1 are read from Coefficient pointer */
-    Co1 = pCoef16[ic * 2u];
-    Si1 = pCoef16[(ic * 2u) + 1u];
-    /*  Butterfly process for the i0+fftLen/2 sample */
-    /* xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1) */
-    out1 = (short) ((Co1 * S0 - Si1 * S1) >> 16u);
-    /* yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1) */
-    out2 = (short) ((Si1 * S0 + Co1 * S1) >> 16u);
-    /* writing output(xb', yb') in little endian format */
-    pSrc16[i2 * 2u] = out1;
-    pSrc16[(i2 * 2u) + 1u] = out2;
-
-    /* Co3 & si3 are read from Coefficient pointer */
-    Co3 = pCoef16[3u * ic * 2u];
-    Si3 = pCoef16[(3u * ic * 2u) + 1u];
-    /*  Butterfly process for the i0+3fftLen/4 sample */
-    /* xd' = (xa+yb-xc-yd)* Co3 - (ya-xb-yc+xd)* (si3) */
-    out1 = (short) ((Co3 * R0 - Si3 * R1) >> 16u);
-    /* yd' = (ya-xb-yc+xd)* Co3 + (xa+yb-xc-yd)* (si3) */
-    out2 = (short) ((Si3 * R0 + Co3 * R1) >> 16u);
-    /* writing output(xd', yd') in little endian format */
-    pSrc16[i3 * 2u] = out1;
-    pSrc16[(i3 * 2u) + 1u] = out2;
-
-    /*  Twiddle coefficients index modifier */
-    ic = ic + twidCoefModifier;
-
-    /*  Updating input index */
-    i0 = i0 + 1u;
-
-  } while(--j);
-
-  /*  End of first stage process */
-
-  /* data is in 4.11(q11) format */
-
-
-  /*  Start of Middle stage process */
-
-  /*  Twiddle coefficients index modifier */
-  twidCoefModifier <<= 2u;
-
-  /*  Calculation of Middle stage */
-  for (k = fftLen / 4u; k > 4u; k >>= 2u)
-  {
-    /*  Initializations for the middle stage */
-    n1 = n2;
-    n2 >>= 2u;
-    ic = 0u;
-
-    for (j = 0u; j <= (n2 - 1u); j++)
-    {
-      /*  index calculation for the coefficients */
-      Co1 = pCoef16[ic * 2u];
-      Si1 = pCoef16[(ic * 2u) + 1u];
-      Co2 = pCoef16[2u * ic * 2u];
-      Si2 = pCoef16[2u * ic * 2u + 1u];
-      Co3 = pCoef16[3u * ic * 2u];
-      Si3 = pCoef16[(3u * ic * 2u) + 1u];
-
-      /*  Twiddle coefficients index modifier */
-      ic = ic + twidCoefModifier;
-
-      /*  Butterfly implementation */
-      for (i0 = j; i0 < fftLen; i0 += n1)
-      {
-        /*  index calculation for the input as, */
-        /*  pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
-        i1 = i0 + n2;
-        i2 = i1 + n2;
-        i3 = i2 + n2;
-
-        /*  Reading i0, i0+fftLen/2 inputs */
-        /* Read ya (real), xa(imag) input */
-        T0 = pSrc16[i0 * 2u];
-        T1 = pSrc16[(i0 * 2u) + 1u];
-
-        /* Read yc (real), xc(imag) input */
-        S0 = pSrc16[i2 * 2u];
-        S1 = pSrc16[(i2 * 2u) + 1u];
-
-
-        /* R0 = (ya + yc), R1 = (xa + xc) */
-        R0 = __SSAT(T0 + S0, 16u);
-        R1 = __SSAT(T1 + S1, 16u);
-        /* S0 = (ya - yc), S1 = (xa - xc) */
-        S0 = __SSAT(T0 - S0, 16u);
-        S1 = __SSAT(T1 - S1, 16u);
-
-        /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
-        /* Read yb (real), xb(imag) input */
-        T0 = pSrc16[i1 * 2u];
-        T1 = pSrc16[(i1 * 2u) + 1u];
-
-        /* Read yd (real), xd(imag) input */
-        U0 = pSrc16[i3 * 2u];
-        U1 = pSrc16[(i3 * 2u) + 1u];
-
-        /* T0 = (yb + yd), T1 = (xb + xd) */
-        T0 = __SSAT(T0 + U0, 16u);
-        T1 = __SSAT(T1 + U1, 16u);
-
-        /*  writing the butterfly processed i0 sample */
-        /* xa' = xa + xb + xc + xd */
-        /* ya' = ya + yb + yc + yd */
-        pSrc16[i0 * 2u] = ((R0 >> 1u) + (T0 >> 1u)) >> 1u;
-        pSrc16[(i0 * 2u) + 1u] = ((R1 >> 1u) + (T1 >> 1u)) >> 1u;
-
-        /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */
-        R0 = (R0 >> 1u) - (T0 >> 1u);
-        R1 = (R1 >> 1u) - (T1 >> 1u);
-
-        /* (ya-yb+yc-yd)* (si2) - (xa-xb+xc-xd)* co2 */
-        out1 = (short) ((Co2 * R0 - Si2 * R1) >> 16);
-        /* (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2) */
-        out2 = (short) ((Si2 * R0 + Co2 * R1) >> 16);
-
-        /*  Reading i0+3fftLen/4 */
-        /* Read yb (real), xb(imag) input */
-        T0 = pSrc16[i1 * 2u];
-        T1 = pSrc16[(i1 * 2u) + 1u];
-
-        /*  writing the butterfly processed i0 + fftLen/4 sample */
-        /* xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2) */
-        /* yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2) */
-        pSrc16[i1 * 2u] = out1;
-        pSrc16[(i1 * 2u) + 1u] = out2;
-
-        /*  Butterfly calculations */
-        /* Read yd (real), xd(imag) input */
-        U0 = pSrc16[i3 * 2u];
-        U1 = pSrc16[(i3 * 2u) + 1u];
-
-        /* T0 = yb-yd, T1 = xb-xd) */
-        T0 = __SSAT(T0 - U0, 16u);
-        T1 = __SSAT(T1 - U1, 16u);
-
-        /* R0 = (ya-yc) - (xb- xd) , R1 = (xa-xc) + (yb-yd) */
-        R0 = (S0 >> 1u) + (T1 >> 1u);
-        R1 = (S1 >> 1u) - (T0 >> 1u);
-
-        /* S1 = (ya-yc) + (xb- xd), S1 = (xa-xc) - (yb-yd) */
-        S0 = (S0 >> 1u) - (T1 >> 1u);
-        S1 = (S1 >> 1u) + (T0 >> 1u);
-
-        /*  Butterfly process for the i0+fftLen/2 sample */
-        out1 = (short) ((Co1 * S0 - Si1 * S1) >> 16u);
-        out2 = (short) ((Si1 * S0 + Co1 * S1) >> 16u);
-        /* xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1) */
-        /* yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1) */
-        pSrc16[i2 * 2u] = out1;
-        pSrc16[(i2 * 2u) + 1u] = out2;
-
-        /*  Butterfly process for the i0+3fftLen/4 sample */
-        out1 = (short) ((Co3 * R0 - Si3 * R1) >> 16u);
-
-        out2 = (short) ((Si3 * R0 + Co3 * R1) >> 16u);
-        /* xd' = (xa+yb-xc-yd)* Co3 - (ya-xb-yc+xd)* (si3) */
-        /* yd' = (ya-xb-yc+xd)* Co3 + (xa+yb-xc-yd)* (si3) */
-        pSrc16[i3 * 2u] = out1;
-        pSrc16[(i3 * 2u) + 1u] = out2;
-
-
-      }
-    }
-    /*  Twiddle coefficients index modifier */
-    twidCoefModifier <<= 2u;
-  }
-  /*  End of Middle stages process */
-
-
-  /* data is in 10.6(q6) format for the 1024 point */
-  /* data is in 8.8(q8) format for the 256 point   */
-  /* data is in 6.10(q10) format for the 64 point  */
-  /* data is in 4.12(q12) format for the 16 point  */
-
-  /* start of last stage process */
-
-
-  /*  Initializations for the last stage */
-  n1 = n2;
-  n2 >>= 2u;
-
-  /*  Butterfly implementation */
-  for (i0 = 0u; i0 <= (fftLen - n1); i0 += n1)
-  {
-    /*  index calculation for the input as, */
-    /*  pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
-    i1 = i0 + n2;
-    i2 = i1 + n2;
-    i3 = i2 + n2;
-
-    /*  Reading i0, i0+fftLen/2 inputs */
-    /* Read ya (real), xa(imag) input */
-    T0 = pSrc16[i0 * 2u];
-    T1 = pSrc16[(i0 * 2u) + 1u];
-    /* Read yc (real), xc(imag) input */
-    S0 = pSrc16[i2 * 2u];
-    S1 = pSrc16[(i2 * 2u) + 1u];
-
-    /* R0 = (ya + yc), R1 = (xa + xc) */
-    R0 = __SSAT(T0 + S0, 16u);
-    R1 = __SSAT(T1 + S1, 16u);
-    /* S0 = (ya - yc), S1 = (xa - xc) */
-    S0 = __SSAT(T0 - S0, 16u);
-    S1 = __SSAT(T1 - S1, 16u);
-
-    /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
-    /* Read yb (real), xb(imag) input */
-    T0 = pSrc16[i1 * 2u];
-    T1 = pSrc16[(i1 * 2u) + 1u];
-    /* Read yd (real), xd(imag) input */
-    U0 = pSrc16[i3 * 2u];
-    U1 = pSrc16[(i3 * 2u) + 1u];
-
-    /* T0 = (yb + yd), T1 = (xb + xd) */
-    T0 = __SSAT(T0 + U0, 16u);
-    T1 = __SSAT(T1 + U1, 16u);
-
-    /*  writing the butterfly processed i0 sample */
-    /* xa' = xa + xb + xc + xd */
-    /* ya' = ya + yb + yc + yd */
-    pSrc16[i0 * 2u] = (R0 >> 1u) + (T0 >> 1u);
-    pSrc16[(i0 * 2u) + 1u] = (R1 >> 1u) + (T1 >> 1u);
-
-    /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */
-    R0 = (R0 >> 1u) - (T0 >> 1u);
-    R1 = (R1 >> 1u) - (T1 >> 1u);
-
-    /* Read yb (real), xb(imag) input */
-    T0 = pSrc16[i1 * 2u];
-    T1 = pSrc16[(i1 * 2u) + 1u];
-
-    /*  writing the butterfly processed i0 + fftLen/4 sample */
-    /* xc' = (xa-xb+xc-xd) */
-    /* yc' = (ya-yb+yc-yd) */
-    pSrc16[i1 * 2u] = R0;
-    pSrc16[(i1 * 2u) + 1u] = R1;
-
-    /* Read yd (real), xd(imag) input */
-    U0 = pSrc16[i3 * 2u];
-    U1 = pSrc16[(i3 * 2u) + 1u];
-    /* T0 = (yb - yd), T1 = (xb - xd) */
-    T0 = __SSAT(T0 - U0, 16u);
-    T1 = __SSAT(T1 - U1, 16u);
-
-    /*  writing the butterfly processed i0 + fftLen/2 sample */
-    /* xb' = (xa-yb-xc+yd) */
-    /* yb' = (ya+xb-yc-xd) */
-    pSrc16[i2 * 2u] = (S0 >> 1u) - (T1 >> 1u);
-    pSrc16[(i2 * 2u) + 1u] = (S1 >> 1u) + (T0 >> 1u);
-
-
-    /*  writing the butterfly processed i0 + 3fftLen/4 sample */
-    /* xd' = (xa+yb-xc-yd) */
-    /* yd' = (ya-xb-yc+xd) */
-    pSrc16[i3 * 2u] = (S0 >> 1u) + (T1 >> 1u);
-    pSrc16[(i3 * 2u) + 1u] = (S1 >> 1u) - (T0 >> 1u);
-  }
-  /* end of last stage  process */
-
-  /* output is in 11.5(q5) format for the 1024 point */
-  /* output is in 9.7(q7) format for the 256 point   */
-  /* output is in 7.9(q9) format for the 64 point  */
-  /* output is in 5.11(q11) format for the 16 point  */
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-}
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_q31.c
deleted file mode 100644
index 3a5c523df..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_q31.c
+++ /dev/null
@@ -1,891 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_cfft_radix4_q31.c    
-*    
-* Description:	This file has function definition of Radix-4 FFT & IFFT function and    
-*				In-place bit reversal using bit reversal table    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.5  2010/04/26     
-* 	 incorporated review comments and updated with latest CMSIS layer    
-*    
-* Version 0.0.3  2010/03/10     
-*    Initial version    
-* -------------------------------------------------------------------- */
-#include "arm_math.h"
-
-
-/**    
- * @ingroup groupTransforms    
- */
-
-/**    
- * @addtogroup Radix4_CFFT_CIFFT    
- * @{    
- */
-
-/**    
- * @details    
- * @brief Processing function for the Q31 CFFT/CIFFT.    
- * @param[in]      *S    points to an instance of the Q31 CFFT/CIFFT structure.   
- * @param[in, out] *pSrc points to the complex data buffer of size 2*fftLen. Processing occurs in-place.   
- * @return none.    
- *     
- * \par Input and output formats:    
- * \par    
- * Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process.   
- * Hence the output format is different for different FFT sizes.    
- * The input and output formats for different FFT sizes and number of bits to upscale are mentioned in the tables below for CFFT and CIFFT:   
- * \par   
- * \image html CFFTQ31.gif "Input and Output Formats for Q31 CFFT"    
- * \image html CIFFTQ31.gif "Input and Output Formats for Q31 CIFFT"    
- *    
- */
-
-void arm_cfft_radix4_q31(
-  const arm_cfft_radix4_instance_q31 * S,
-  q31_t * pSrc)
-{
-  if(S->ifftFlag == 1u)
-  {
-    /* Complex IFFT radix-4 */
-    arm_radix4_butterfly_inverse_q31(pSrc, S->fftLen, S->pTwiddle,
-                                     S->twidCoefModifier);
-  }
-  else
-  {
-    /* Complex FFT radix-4 */
-    arm_radix4_butterfly_q31(pSrc, S->fftLen, S->pTwiddle,
-                             S->twidCoefModifier);
-  }
-
-
-  if(S->bitReverseFlag == 1u)
-  {
-    /*  Bit Reversal */
-    arm_bitreversal_q31(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable);
-  }
-
-}
-
-/**    
- * @} end of Radix4_CFFT_CIFFT group    
- */
-
-/*    
-* Radix-4 FFT algorithm used is :    
-*    
-* Input real and imaginary data:    
-* x(n) = xa + j * ya    
-* x(n+N/4 ) = xb + j * yb    
-* x(n+N/2 ) = xc + j * yc    
-* x(n+3N 4) = xd + j * yd    
-*    
-*    
-* Output real and imaginary data:    
-* x(4r) = xa'+ j * ya'    
-* x(4r+1) = xb'+ j * yb'    
-* x(4r+2) = xc'+ j * yc'    
-* x(4r+3) = xd'+ j * yd'    
-*    
-*    
-* Twiddle factors for radix-4 FFT:    
-* Wn = co1 + j * (- si1)    
-* W2n = co2 + j * (- si2)    
-* W3n = co3 + j * (- si3)    
-*    
-*  Butterfly implementation:    
-* xa' = xa + xb + xc + xd    
-* ya' = ya + yb + yc + yd    
-* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1)    
-* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1)    
-* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2)    
-* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2)    
-* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3)    
-* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3)    
-*    
-*/
-
-/**    
- * @brief  Core function for the Q31 CFFT butterfly process.   
- * @param[in, out] *pSrc            points to the in-place buffer of Q31 data type.   
- * @param[in]      fftLen           length of the FFT.   
- * @param[in]      *pCoef           points to twiddle coefficient buffer.   
- * @param[in]      twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
- * @return none.   
- */
-
-void arm_radix4_butterfly_q31(
-  q31_t * pSrc,
-  uint32_t fftLen,
-  q31_t * pCoef,
-  uint32_t twidCoefModifier)
-{
-  uint32_t n1, n2, ia1, ia2, ia3, i0, i1, i2, i3, j, k;
-  q31_t t1, t2, r1, r2, s1, s2, co1, co2, co3, si1, si2, si3;
-
-  q31_t xa, xb, xc, xd;
-  q31_t ya, yb, yc, yd;
-  q31_t xa_out, xb_out, xc_out, xd_out;
-  q31_t ya_out, yb_out, yc_out, yd_out;
-
-  q31_t *ptr1;
-  q63_t xaya, xbyb, xcyc, xdyd;
-  /* Total process is divided into three stages */
-
-  /* process first stage, middle stages, & last stage */
-
-
-  /* start of first stage process */
-
-  /*  Initializations for the first stage */
-  n2 = fftLen;
-  n1 = n2;
-  /* n2 = fftLen/4 */
-  n2 >>= 2u;
-  i0 = 0u;
-  ia1 = 0u;
-
-  j = n2;
-
-  /*  Calculation of first stage */
-  do
-  {
-    /*  index calculation for the input as, */
-    /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2u], pSrc[i0 + 3fftLen/4] */
-    i1 = i0 + n2;
-    i2 = i1 + n2;
-    i3 = i2 + n2;
-
-    /* input is in 1.31(q31) format and provide 4 guard bits for the input */
-
-    /*  Butterfly implementation */
-    /* xa + xc */
-    r1 = (pSrc[(2u * i0)] >> 4u) + (pSrc[(2u * i2)] >> 4u);
-    /* xa - xc */
-    r2 = (pSrc[2u * i0] >> 4u) - (pSrc[2u * i2] >> 4u);
-
-    /* xb + xd */
-    t1 = (pSrc[2u * i1] >> 4u) + (pSrc[2u * i3] >> 4u);
-
-    /* ya + yc */
-    s1 = (pSrc[(2u * i0) + 1u] >> 4u) + (pSrc[(2u * i2) + 1u] >> 4u);
-    /* ya - yc */
-    s2 = (pSrc[(2u * i0) + 1u] >> 4u) - (pSrc[(2u * i2) + 1u] >> 4u);
-
-    /* xa' = xa + xb + xc + xd */
-    pSrc[2u * i0] = (r1 + t1);
-    /* (xa + xc) - (xb + xd) */
-    r1 = r1 - t1;
-    /* yb + yd */
-    t2 = (pSrc[(2u * i1) + 1u] >> 4u) + (pSrc[(2u * i3) + 1u] >> 4u);
-
-    /* ya' = ya + yb + yc + yd */
-    pSrc[(2u * i0) + 1u] = (s1 + t2);
-
-    /* (ya + yc) - (yb + yd) */
-    s1 = s1 - t2;
-
-    /* yb - yd */
-    t1 = (pSrc[(2u * i1) + 1u] >> 4u) - (pSrc[(2u * i3) + 1u] >> 4u);
-    /* xb - xd */
-    t2 = (pSrc[2u * i1] >> 4u) - (pSrc[2u * i3] >> 4u);
-
-    /*  index calculation for the coefficients */
-    ia2 = 2u * ia1;
-    co2 = pCoef[ia2 * 2u];
-    si2 = pCoef[(ia2 * 2u) + 1u];
-
-    /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
-    pSrc[2u * i1] = (((int32_t) (((q63_t) r1 * co2) >> 32)) +
-                     ((int32_t) (((q63_t) s1 * si2) >> 32))) << 1u;
-
-    /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
-    pSrc[(2u * i1) + 1u] = (((int32_t) (((q63_t) s1 * co2) >> 32)) -
-                            ((int32_t) (((q63_t) r1 * si2) >> 32))) << 1u;
-
-    /* (xa - xc) + (yb - yd) */
-    r1 = r2 + t1;
-    /* (xa - xc) - (yb - yd) */
-    r2 = r2 - t1;
-
-    /* (ya - yc) - (xb - xd) */
-    s1 = s2 - t2;
-    /* (ya - yc) + (xb - xd) */
-    s2 = s2 + t2;
-
-    co1 = pCoef[ia1 * 2u];
-    si1 = pCoef[(ia1 * 2u) + 1u];
-
-    /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
-    pSrc[2u * i2] = (((int32_t) (((q63_t) r1 * co1) >> 32)) +
-                     ((int32_t) (((q63_t) s1 * si1) >> 32))) << 1u;
-
-    /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
-    pSrc[(2u * i2) + 1u] = (((int32_t) (((q63_t) s1 * co1) >> 32)) -
-                            ((int32_t) (((q63_t) r1 * si1) >> 32))) << 1u;
-
-    /*  index calculation for the coefficients */
-    ia3 = 3u * ia1;
-    co3 = pCoef[ia3 * 2u];
-    si3 = pCoef[(ia3 * 2u) + 1u];
-
-    /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
-    pSrc[2u * i3] = (((int32_t) (((q63_t) r2 * co3) >> 32)) +
-                     ((int32_t) (((q63_t) s2 * si3) >> 32))) << 1u;
-
-    /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
-    pSrc[(2u * i3) + 1u] = (((int32_t) (((q63_t) s2 * co3) >> 32)) -
-                            ((int32_t) (((q63_t) r2 * si3) >> 32))) << 1u;
-
-    /*  Twiddle coefficients index modifier */
-    ia1 = ia1 + twidCoefModifier;
-
-    /*  Updating input index */
-    i0 = i0 + 1u;
-
-  } while(--j);
-
-  /* end of first stage process */
-
-  /* data is in 5.27(q27) format */
-
-
-  /* start of Middle stages process */
-
-
-  /* each stage in middle stages provides two down scaling of the input */
-
-  twidCoefModifier <<= 2u;
-
-
-  for (k = fftLen / 4u; k > 4u; k >>= 2u)
-  {
-    /*  Initializations for the first stage */
-    n1 = n2;
-    n2 >>= 2u;
-    ia1 = 0u;
-
-    /*  Calculation of first stage */
-    for (j = 0u; j <= (n2 - 1u); j++)
-    {
-      /*  index calculation for the coefficients */
-      ia2 = ia1 + ia1;
-      ia3 = ia2 + ia1;
-      co1 = pCoef[ia1 * 2u];
-      si1 = pCoef[(ia1 * 2u) + 1u];
-      co2 = pCoef[ia2 * 2u];
-      si2 = pCoef[(ia2 * 2u) + 1u];
-      co3 = pCoef[ia3 * 2u];
-      si3 = pCoef[(ia3 * 2u) + 1u];
-      /*  Twiddle coefficients index modifier */
-      ia1 = ia1 + twidCoefModifier;
-
-      for (i0 = j; i0 < fftLen; i0 += n1)
-      {
-        /*  index calculation for the input as, */
-        /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2u], pSrc[i0 + 3fftLen/4] */
-        i1 = i0 + n2;
-        i2 = i1 + n2;
-        i3 = i2 + n2;
-
-        /*  Butterfly implementation */
-        /* xa + xc */
-        r1 = pSrc[2u * i0] + pSrc[2u * i2];
-        /* xa - xc */
-        r2 = pSrc[2u * i0] - pSrc[2u * i2];
-
-        /* ya + yc */
-        s1 = pSrc[(2u * i0) + 1u] + pSrc[(2u * i2) + 1u];
-        /* ya - yc */
-        s2 = pSrc[(2u * i0) + 1u] - pSrc[(2u * i2) + 1u];
-
-        /* xb + xd */
-        t1 = pSrc[2u * i1] + pSrc[2u * i3];
-
-        /* xa' = xa + xb + xc + xd */
-        pSrc[2u * i0] = (r1 + t1) >> 2u;
-        /* xa + xc -(xb + xd) */
-        r1 = r1 - t1;
-
-        /* yb + yd */
-        t2 = pSrc[(2u * i1) + 1u] + pSrc[(2u * i3) + 1u];
-        /* ya' = ya + yb + yc + yd */
-        pSrc[(2u * i0) + 1u] = (s1 + t2) >> 2u;
-
-        /* (ya + yc) - (yb + yd) */
-        s1 = s1 - t2;
-
-        /* (yb - yd) */
-        t1 = pSrc[(2u * i1) + 1u] - pSrc[(2u * i3) + 1u];
-        /* (xb - xd) */
-        t2 = pSrc[2u * i1] - pSrc[2u * i3];
-
-        /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
-        pSrc[2u * i1] = (((int32_t) (((q63_t) r1 * co2) >> 32)) +
-                         ((int32_t) (((q63_t) s1 * si2) >> 32))) >> 1u;
-
-        /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
-        pSrc[(2u * i1) + 1u] = (((int32_t) (((q63_t) s1 * co2) >> 32)) -
-                                ((int32_t) (((q63_t) r1 * si2) >> 32))) >> 1u;
-
-        /* (xa - xc) + (yb - yd) */
-        r1 = r2 + t1;
-        /* (xa - xc) - (yb - yd) */
-        r2 = r2 - t1;
-
-        /* (ya - yc) -  (xb - xd) */
-        s1 = s2 - t2;
-        /* (ya - yc) +  (xb - xd) */
-        s2 = s2 + t2;
-
-        /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
-        pSrc[2u * i2] = (((int32_t) (((q63_t) r1 * co1) >> 32)) +
-                         ((int32_t) (((q63_t) s1 * si1) >> 32))) >> 1u;
-
-        /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
-        pSrc[(2u * i2) + 1u] = (((int32_t) (((q63_t) s1 * co1) >> 32)) -
-                                ((int32_t) (((q63_t) r1 * si1) >> 32))) >> 1u;
-
-        /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
-        pSrc[2u * i3] = (((int32_t) (((q63_t) r2 * co3) >> 32)) +
-                         ((int32_t) (((q63_t) s2 * si3) >> 32))) >> 1u;
-
-        /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
-        pSrc[(2u * i3) + 1u] = (((int32_t) (((q63_t) s2 * co3) >> 32)) -
-                                ((int32_t) (((q63_t) r2 * si3) >> 32))) >> 1u;
-      }
-    }
-    twidCoefModifier <<= 2u;
-  }
-
-  /* End of Middle stages process */
-
-  /* data is in 11.21(q21) format for the 1024 point as there are 3 middle stages */
-  /* data is in 9.23(q23) format for the 256 point as there are 2 middle stages */
-  /* data is in 7.25(q25) format for the 64 point as there are 1 middle stage */
-  /* data is in 5.27(q27) format for the 16 point as there are no middle stages */
-
-
-  /* start of Last stage process */
-  /*  Initializations for the last stage */
-  j = fftLen >> 2;
-  ptr1 = &pSrc[0];
-
-  /*  Calculations of last stage */
-  do
-  {
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    /* Read xa (real), ya(imag) input */
-    xaya = *__SIMD64(ptr1)++;
-    xa = (q31_t) xaya;
-    ya = (q31_t) (xaya >> 32);
-
-    /* Read xb (real), yb(imag) input */
-    xbyb = *__SIMD64(ptr1)++;
-    xb = (q31_t) xbyb;
-    yb = (q31_t) (xbyb >> 32);
-
-    /* Read xc (real), yc(imag) input */
-    xcyc = *__SIMD64(ptr1)++;
-    xc = (q31_t) xcyc;
-    yc = (q31_t) (xcyc >> 32);
-
-    /* Read xc (real), yc(imag) input */
-    xdyd = *__SIMD64(ptr1)++;
-    xd = (q31_t) xdyd;
-    yd = (q31_t) (xdyd >> 32);
-
-#else
-
-    /* Read xa (real), ya(imag) input */
-    xaya = *__SIMD64(ptr1)++;
-    ya = (q31_t) xaya;
-    xa = (q31_t) (xaya >> 32);
-
-    /* Read xb (real), yb(imag) input */
-    xbyb = *__SIMD64(ptr1)++;
-    yb = (q31_t) xbyb;
-    xb = (q31_t) (xbyb >> 32);
-
-    /* Read xc (real), yc(imag) input */
-    xcyc = *__SIMD64(ptr1)++;
-    yc = (q31_t) xcyc;
-    xc = (q31_t) (xcyc >> 32);
-
-    /* Read xc (real), yc(imag) input */
-    xdyd = *__SIMD64(ptr1)++;
-    yd = (q31_t) xdyd;
-    xd = (q31_t) (xdyd >> 32);
-
-
-#endif
-
-    /* xa' = xa + xb + xc + xd */
-    xa_out = xa + xb + xc + xd;
-
-    /* ya' = ya + yb + yc + yd */
-    ya_out = ya + yb + yc + yd;
-
-    /* pointer updation for writing */
-    ptr1 = ptr1 - 8u;
-
-    /* writing xa' and ya' */
-    *ptr1++ = xa_out;
-    *ptr1++ = ya_out;
-
-    xc_out = (xa - xb + xc - xd);
-    yc_out = (ya - yb + yc - yd);
-
-    /* writing xc' and yc' */
-    *ptr1++ = xc_out;
-    *ptr1++ = yc_out;
-
-    xb_out = (xa + yb - xc - yd);
-    yb_out = (ya - xb - yc + xd);
-
-    /* writing xb' and yb' */
-    *ptr1++ = xb_out;
-    *ptr1++ = yb_out;
-
-    xd_out = (xa - yb - xc + yd);
-    yd_out = (ya + xb - yc - xd);
-
-    /* writing xd' and yd' */
-    *ptr1++ = xd_out;
-    *ptr1++ = yd_out;
-
-
-  } while(--j);
-
-  /* output is in 11.21(q21) format for the 1024 point */
-  /* output is in 9.23(q23) format for the 256 point */
-  /* output is in 7.25(q25) format for the 64 point */
-  /* output is in 5.27(q27) format for the 16 point */
-
-  /* End of last stage process */
-
-}
-
-
-/**    
- * @brief  Core function for the Q31 CIFFT butterfly process.   
- * @param[in, out] *pSrc            points to the in-place buffer of Q31 data type.   
- * @param[in]      fftLen           length of the FFT.   
- * @param[in]      *pCoef           points to twiddle coefficient buffer.   
- * @param[in]      twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
- * @return none.   
- */
-
-
-/*    
-* Radix-4 IFFT algorithm used is :    
-*    
-* CIFFT uses same twiddle coefficients as CFFT Function    
-*  x[k] = x[n] + (j)k * x[n + fftLen/4] + (-1)k * x[n+fftLen/2] + (-j)k * x[n+3*fftLen/4]    
-*    
-*    
-* IFFT is implemented with following changes in equations from FFT    
-*    
-* Input real and imaginary data:    
-* x(n) = xa + j * ya    
-* x(n+N/4 ) = xb + j * yb    
-* x(n+N/2 ) = xc + j * yc    
-* x(n+3N 4) = xd + j * yd    
-*    
-*    
-* Output real and imaginary data:    
-* x(4r) = xa'+ j * ya'    
-* x(4r+1) = xb'+ j * yb'    
-* x(4r+2) = xc'+ j * yc'    
-* x(4r+3) = xd'+ j * yd'    
-*    
-*    
-* Twiddle factors for radix-4 IFFT:    
-* Wn = co1 + j * (si1)    
-* W2n = co2 + j * (si2)    
-* W3n = co3 + j * (si3)    
-    
-* The real and imaginary output values for the radix-4 butterfly are    
-* xa' = xa + xb + xc + xd    
-* ya' = ya + yb + yc + yd    
-* xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1)    
-* yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1)    
-* xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2)    
-* yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2)    
-* xd' = (xa+yb-xc-yd)* co3 - (ya-xb-yc+xd)* (si3)    
-* yd' = (ya-xb-yc+xd)* co3 + (xa+yb-xc-yd)* (si3)    
-*    
-*/
-
-void arm_radix4_butterfly_inverse_q31(
-  q31_t * pSrc,
-  uint32_t fftLen,
-  q31_t * pCoef,
-  uint32_t twidCoefModifier)
-{
-  uint32_t n1, n2, ia1, ia2, ia3, i0, i1, i2, i3, j, k;
-  q31_t t1, t2, r1, r2, s1, s2, co1, co2, co3, si1, si2, si3;
-  q31_t xa, xb, xc, xd;
-  q31_t ya, yb, yc, yd;
-  q31_t xa_out, xb_out, xc_out, xd_out;
-  q31_t ya_out, yb_out, yc_out, yd_out;
-
-  q31_t *ptr1;
-  q63_t xaya, xbyb, xcyc, xdyd;
-
-  /* input is be 1.31(q31) format for all FFT sizes */
-  /* Total process is divided into three stages */
-  /* process first stage, middle stages, & last stage */
-
-  /* Start of first stage process */
-
-  /* Initializations for the first stage */
-  n2 = fftLen;
-  n1 = n2;
-  /* n2 = fftLen/4 */
-  n2 >>= 2u;
-  i0 = 0u;
-  ia1 = 0u;
-
-  j = n2;
-
-  do
-  {
-
-    /* input is in 1.31(q31) format and provide 4 guard bits for the input */
-
-    /*  index calculation for the input as, */
-    /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2u], pSrc[i0 + 3fftLen/4] */
-    i1 = i0 + n2;
-    i2 = i1 + n2;
-    i3 = i2 + n2;
-
-    /*  Butterfly implementation */
-    /* xa + xc */
-    r1 = (pSrc[2u * i0] >> 4u) + (pSrc[2u * i2] >> 4u);
-    /* xa - xc */
-    r2 = (pSrc[2u * i0] >> 4u) - (pSrc[2u * i2] >> 4u);
-
-    /* xb + xd */
-    t1 = (pSrc[2u * i1] >> 4u) + (pSrc[2u * i3] >> 4u);
-
-    /* ya + yc */
-    s1 = (pSrc[(2u * i0) + 1u] >> 4u) + (pSrc[(2u * i2) + 1u] >> 4u);
-    /* ya - yc */
-    s2 = (pSrc[(2u * i0) + 1u] >> 4u) - (pSrc[(2u * i2) + 1u] >> 4u);
-
-    /* xa' = xa + xb + xc + xd */
-    pSrc[2u * i0] = (r1 + t1);
-    /* (xa + xc) - (xb + xd) */
-    r1 = r1 - t1;
-    /* yb + yd */
-    t2 = (pSrc[(2u * i1) + 1u] >> 4u) + (pSrc[(2u * i3) + 1u] >> 4u);
-    /* ya' = ya + yb + yc + yd */
-    pSrc[(2u * i0) + 1u] = (s1 + t2);
-
-    /* (ya + yc) - (yb + yd) */
-    s1 = s1 - t2;
-
-    /* yb - yd */
-    t1 = (pSrc[(2u * i1) + 1u] >> 4u) - (pSrc[(2u * i3) + 1u] >> 4u);
-    /* xb - xd */
-    t2 = (pSrc[2u * i1] >> 4u) - (pSrc[2u * i3] >> 4u);
-
-    /*  index calculation for the coefficients */
-    ia2 = 2u * ia1;
-    co2 = pCoef[ia2 * 2u];
-    si2 = pCoef[(ia2 * 2u) + 1u];
-
-    /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
-    pSrc[2u * i1] = (((int32_t) (((q63_t) r1 * co2) >> 32)) -
-                     ((int32_t) (((q63_t) s1 * si2) >> 32))) << 1u;
-
-    /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
-    pSrc[2u * i1 + 1u] = (((int32_t) (((q63_t) s1 * co2) >> 32)) +
-                          ((int32_t) (((q63_t) r1 * si2) >> 32))) << 1u;
-
-    /* (xa - xc) - (yb - yd) */
-    r1 = r2 - t1;
-    /* (xa - xc) + (yb - yd) */
-    r2 = r2 + t1;
-
-    /* (ya - yc) + (xb - xd) */
-    s1 = s2 + t2;
-    /* (ya - yc) - (xb - xd) */
-    s2 = s2 - t2;
-
-    co1 = pCoef[ia1 * 2u];
-    si1 = pCoef[(ia1 * 2u) + 1u];
-
-    /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
-    pSrc[2u * i2] = (((int32_t) (((q63_t) r1 * co1) >> 32)) -
-                     ((int32_t) (((q63_t) s1 * si1) >> 32))) << 1u;
-
-    /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
-    pSrc[(2u * i2) + 1u] = (((int32_t) (((q63_t) s1 * co1) >> 32)) +
-                            ((int32_t) (((q63_t) r1 * si1) >> 32))) << 1u;
-
-    /*  index calculation for the coefficients */
-    ia3 = 3u * ia1;
-    co3 = pCoef[ia3 * 2u];
-    si3 = pCoef[(ia3 * 2u) + 1u];
-
-    /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
-    pSrc[2u * i3] = (((int32_t) (((q63_t) r2 * co3) >> 32)) -
-                     ((int32_t) (((q63_t) s2 * si3) >> 32))) << 1u;
-
-    /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
-    pSrc[(2u * i3) + 1u] = (((int32_t) (((q63_t) s2 * co3) >> 32)) +
-                            ((int32_t) (((q63_t) r2 * si3) >> 32))) << 1u;
-
-    /*  Twiddle coefficients index modifier */
-    ia1 = ia1 + twidCoefModifier;
-
-    /*  Updating input index */
-    i0 = i0 + 1u;
-
-  } while(--j);
-
-  /* data is in 5.27(q27) format */
-  /* each stage provides two down scaling of the input */
-
-
-  /* Start of Middle stages process */
-
-  twidCoefModifier <<= 2u;
-
-  /*  Calculation of second stage to excluding last stage */
-  for (k = fftLen / 4u; k > 4u; k >>= 2u)
-  {
-    /*  Initializations for the first stage */
-    n1 = n2;
-    n2 >>= 2u;
-    ia1 = 0u;
-
-    for (j = 0; j <= (n2 - 1u); j++)
-    {
-      /*  index calculation for the coefficients */
-      ia2 = ia1 + ia1;
-      ia3 = ia2 + ia1;
-      co1 = pCoef[ia1 * 2u];
-      si1 = pCoef[(ia1 * 2u) + 1u];
-      co2 = pCoef[ia2 * 2u];
-      si2 = pCoef[(ia2 * 2u) + 1u];
-      co3 = pCoef[ia3 * 2u];
-      si3 = pCoef[(ia3 * 2u) + 1u];
-      /*  Twiddle coefficients index modifier */
-      ia1 = ia1 + twidCoefModifier;
-
-      for (i0 = j; i0 < fftLen; i0 += n1)
-      {
-        /*  index calculation for the input as, */
-        /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2u], pSrc[i0 + 3fftLen/4] */
-        i1 = i0 + n2;
-        i2 = i1 + n2;
-        i3 = i2 + n2;
-
-        /*  Butterfly implementation */
-        /* xa + xc */
-        r1 = pSrc[2u * i0] + pSrc[2u * i2];
-        /* xa - xc */
-        r2 = pSrc[2u * i0] - pSrc[2u * i2];
-
-        /* ya + yc */
-        s1 = pSrc[(2u * i0) + 1u] + pSrc[(2u * i2) + 1u];
-        /* ya - yc */
-        s2 = pSrc[(2u * i0) + 1u] - pSrc[(2u * i2) + 1u];
-
-        /* xb + xd */
-        t1 = pSrc[2u * i1] + pSrc[2u * i3];
-
-        /* xa' = xa + xb + xc + xd */
-        pSrc[2u * i0] = (r1 + t1) >> 2u;
-        /* xa + xc -(xb + xd) */
-        r1 = r1 - t1;
-        /* yb + yd */
-        t2 = pSrc[(2u * i1) + 1u] + pSrc[(2u * i3) + 1u];
-        /* ya' = ya + yb + yc + yd */
-        pSrc[(2u * i0) + 1u] = (s1 + t2) >> 2u;
-
-        /* (ya + yc) - (yb + yd) */
-        s1 = s1 - t2;
-
-        /* (yb - yd) */
-        t1 = pSrc[(2u * i1) + 1u] - pSrc[(2u * i3) + 1u];
-        /* (xb - xd) */
-        t2 = pSrc[2u * i1] - pSrc[2u * i3];
-
-        /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
-        pSrc[2u * i1] = (((int32_t) (((q63_t) r1 * co2) >> 32u)) -
-                         ((int32_t) (((q63_t) s1 * si2) >> 32u))) >> 1u;
-
-        /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
-        pSrc[(2u * i1) + 1u] =
-          (((int32_t) (((q63_t) s1 * co2) >> 32u)) +
-           ((int32_t) (((q63_t) r1 * si2) >> 32u))) >> 1u;
-
-        /* (xa - xc) - (yb - yd) */
-        r1 = r2 - t1;
-        /* (xa - xc) + (yb - yd) */
-        r2 = r2 + t1;
-
-        /* (ya - yc) +  (xb - xd) */
-        s1 = s2 + t2;
-        /* (ya - yc) -  (xb - xd) */
-        s2 = s2 - t2;
-
-        /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
-        pSrc[2u * i2] = (((int32_t) (((q63_t) r1 * co1) >> 32)) -
-                         ((int32_t) (((q63_t) s1 * si1) >> 32))) >> 1u;
-
-        /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
-        pSrc[(2u * i2) + 1u] = (((int32_t) (((q63_t) s1 * co1) >> 32)) +
-                                ((int32_t) (((q63_t) r1 * si1) >> 32))) >> 1u;
-
-        /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
-        pSrc[(2u * i3)] = (((int32_t) (((q63_t) r2 * co3) >> 32)) -
-                           ((int32_t) (((q63_t) s2 * si3) >> 32))) >> 1u;
-
-        /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
-        pSrc[(2u * i3) + 1u] = (((int32_t) (((q63_t) s2 * co3) >> 32)) +
-                                ((int32_t) (((q63_t) r2 * si3) >> 32))) >> 1u;
-      }
-    }
-    twidCoefModifier <<= 2u;
-  }
-
-  /* End of Middle stages process */
-
-  /* data is in 11.21(q21) format for the 1024 point as there are 3 middle stages */
-  /* data is in 9.23(q23) format for the 256 point as there are 2 middle stages */
-  /* data is in 7.25(q25) format for the 64 point as there are 1 middle stage */
-  /* data is in 5.27(q27) format for the 16 point as there are no middle stages */
-
-
-  /* Start of last stage process */
-
-
-  /*  Initializations for the last stage */
-  j = fftLen >> 2;
-  ptr1 = &pSrc[0];
-
-  /*  Calculations of last stage */
-  do
-  {
-#ifndef ARM_MATH_BIG_ENDIAN
-    /* Read xa (real), ya(imag) input */
-    xaya = *__SIMD64(ptr1)++;
-    xa = (q31_t) xaya;
-    ya = (q31_t) (xaya >> 32);
-
-    /* Read xb (real), yb(imag) input */
-    xbyb = *__SIMD64(ptr1)++;
-    xb = (q31_t) xbyb;
-    yb = (q31_t) (xbyb >> 32);
-
-    /* Read xc (real), yc(imag) input */
-    xcyc = *__SIMD64(ptr1)++;
-    xc = (q31_t) xcyc;
-    yc = (q31_t) (xcyc >> 32);
-
-    /* Read xc (real), yc(imag) input */
-    xdyd = *__SIMD64(ptr1)++;
-    xd = (q31_t) xdyd;
-    yd = (q31_t) (xdyd >> 32);
-
-#else
-
-    /* Read xa (real), ya(imag) input */
-    xaya = *__SIMD64(ptr1)++;
-    ya = (q31_t) xaya;
-    xa = (q31_t) (xaya >> 32);
-
-    /* Read xb (real), yb(imag) input */
-    xbyb = *__SIMD64(ptr1)++;
-    yb = (q31_t) xbyb;
-    xb = (q31_t) (xbyb >> 32);
-
-    /* Read xc (real), yc(imag) input */
-    xcyc = *__SIMD64(ptr1)++;
-    yc = (q31_t) xcyc;
-    xc = (q31_t) (xcyc >> 32);
-
-    /* Read xc (real), yc(imag) input */
-    xdyd = *__SIMD64(ptr1)++;
-    yd = (q31_t) xdyd;
-    xd = (q31_t) (xdyd >> 32);
-
-
-#endif
-
-    /* xa' = xa + xb + xc + xd */
-    xa_out = xa + xb + xc + xd;
-
-    /* ya' = ya + yb + yc + yd */
-    ya_out = ya + yb + yc + yd;
-
-    /* pointer updation for writing */
-    ptr1 = ptr1 - 8u;
-
-    /* writing xa' and ya' */
-    *ptr1++ = xa_out;
-    *ptr1++ = ya_out;
-
-    xc_out = (xa - xb + xc - xd);
-    yc_out = (ya - yb + yc - yd);
-
-    /* writing xc' and yc' */
-    *ptr1++ = xc_out;
-    *ptr1++ = yc_out;
-
-    xb_out = (xa - yb - xc + yd);
-    yb_out = (ya + xb - yc - xd);
-
-    /* writing xb' and yb' */
-    *ptr1++ = xb_out;
-    *ptr1++ = yb_out;
-
-    xd_out = (xa + yb - xc - yd);
-    yd_out = (ya - xb - yc + xd);
-
-    /* writing xd' and yd' */
-    *ptr1++ = xd_out;
-    *ptr1++ = yd_out;
-
-
-  } while(--j);
-
-  /* output is in 11.21(q21) format for the 1024 point */
-  /* output is in 9.23(q23) format for the 256 point */
-  /* output is in 7.25(q25) format for the 64 point */
-  /* output is in 5.27(q27) format for the 16 point */
-
-  /* End of last stage process */
-}
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_dct4_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_dct4_f32.c
deleted file mode 100644
index fb79e3172..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_dct4_f32.c
+++ /dev/null
@@ -1,453 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_dct4_f32.c    
-*    
-* Description:	Processing function of DCT4 & IDCT4 F32.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupTransforms    
- */
-
-/**    
- * @defgroup DCT4_IDCT4 DCT Type IV Functions    
- * Representation of signals by minimum number of values is important for storage and transmission.    
- * The possibility of large discontinuity between the beginning and end of a period of a signal    
- * in DFT can be avoided by extending the signal so that it is even-symmetric.    
- * Discrete Cosine Transform (DCT) is constructed such that its energy is heavily concentrated in the lower part of the    
- * spectrum and is very widely used in signal and image coding applications.    
- * The family of DCTs (DCT type- 1,2,3,4) is the outcome of different combinations of homogeneous boundary conditions.    
- * DCT has an excellent energy-packing capability, hence has many applications and in data compression in particular.    
- *    
- * DCT is essentially the Discrete Fourier Transform(DFT) of an even-extended real signal.    
- * Reordering of the input data makes the computation of DCT just a problem of    
- * computing the DFT of a real signal with a few additional operations.    
- * This approach provides regular, simple, and very efficient DCT algorithms for practical hardware and software implementations.    
- *     
- * DCT type-II can be implemented using Fast fourier transform (FFT) internally, as the transform is applied on real values, Real FFT can be used.    
- * DCT4 is implemented using DCT2 as their implementations are similar except with some added pre-processing and post-processing.    
- * DCT2 implementation can be described in the following steps:    
- * - Re-ordering input    
- * - Calculating Real FFT    
- * - Multiplication of weights and Real FFT output and getting real part from the product.    
- *    
- * This process is explained by the block diagram below:    
- * \image html DCT4.gif "Discrete Cosine Transform - type-IV"    
- *    
- * \par Algorithm:    
- * The N-point type-IV DCT is defined as a real, linear transformation by the formula:    
- * \image html DCT4Equation.gif    
- * where k = 0,1,2,.....N-1    
- *\par    
- * Its inverse is defined as follows:    
- * \image html IDCT4Equation.gif    
- * where n = 0,1,2,.....N-1    
- *\par    
- * The DCT4 matrices become involutory (i.e. they are self-inverse) by multiplying with an overall scale factor of sqrt(2/N).    
- * The symmetry of the transform matrix indicates that the fast algorithms for the forward    
- * and inverse transform computation are identical.    
- * Note that the implementation of Inverse DCT4 and DCT4 is same, hence same process function can be used for both.    
- *    
- * \par Lengths supported by the transform:    
- *  As DCT4 internally uses Real FFT, it supports all the lengths supported by arm_rfft_f32().    
- * The library provides separate functions for Q15, Q31, and floating-point data types.    
- * \par Instance Structure    
- * The instances for Real FFT and FFT, cosine values table and twiddle factor table are stored in an instance data structure.    
- * A separate instance structure must be defined for each transform.    
- * There are separate instance structure declarations for each of the 3 supported data types.    
- *    
- * \par Initialization Functions    
- * There is also an associated initialization function for each data type.    
- * The initialization function performs the following operations:    
- * - Sets the values of the internal structure fields.    
- * - Initializes Real FFT as its process function is used internally in DCT4, by calling arm_rfft_init_f32().    
- * \par    
- * Use of the initialization function is optional.    
- * However, if the initialization function is used, then the instance structure cannot be placed into a const data section.    
- * To place an instance structure into a const data section, the instance structure must be manually initialized.    
- * Manually initialize the instance structure as follows:    
- * 
    
- *arm_dct4_instance_f32 S = {N, Nby2, normalize, pTwiddle, pCosFactor, pRfft, pCfft};    
- *arm_dct4_instance_q31 S = {N, Nby2, normalize, pTwiddle, pCosFactor, pRfft, pCfft};   
- *arm_dct4_instance_q15 S = {N, Nby2, normalize, pTwiddle, pCosFactor, pRfft, pCfft};   
- * 
   
- * where \c N is the length of the DCT4; \c Nby2 is half of the length of the DCT4;   
- * \c normalize is normalizing factor used and is equal to sqrt(2/N);    
- * \c pTwiddle points to the twiddle factor table;   
- * \c pCosFactor points to the cosFactor table;   
- * \c pRfft points to the real FFT instance;   
- * \c pCfft points to the complex FFT instance;   
- * The CFFT and RFFT structures also needs to be initialized, refer to arm_cfft_radix4_f32()   
- * and arm_rfft_f32() respectively for details regarding static initialization.   
- *   
- * \par Fixed-Point Behavior    
- * Care must be taken when using the fixed-point versions of the DCT4 transform functions.    
- * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.    
- * Refer to the function specific documentation below for usage guidelines.    
- */
-
- /**    
- * @addtogroup DCT4_IDCT4    
- * @{    
- */
-
-/**    
- * @brief Processing function for the floating-point DCT4/IDCT4.   
- * @param[in]       *S             points to an instance of the floating-point DCT4/IDCT4 structure.   
- * @param[in]       *pState        points to state buffer.   
- * @param[in,out]   *pInlineBuffer points to the in-place input and output buffer.   
- * @return none.   
- */
-
-void arm_dct4_f32(
-  const arm_dct4_instance_f32 * S,
-  float32_t * pState,
-  float32_t * pInlineBuffer)
-{
-  uint32_t i;                                    /* Loop counter */
-  float32_t *weights = S->pTwiddle;              /* Pointer to the Weights table */
-  float32_t *cosFact = S->pCosFactor;            /* Pointer to the cos factors table */
-  float32_t *pS1, *pS2, *pbuff;                  /* Temporary pointers for input buffer and pState buffer */
-  float32_t in;                                  /* Temporary variable */
-
-
-  /* DCT4 computation involves DCT2 (which is calculated using RFFT)    
-   * along with some pre-processing and post-processing.    
-   * Computational procedure is explained as follows:    
-   * (a) Pre-processing involves multiplying input with cos factor,    
-   *     r(n) = 2 * u(n) * cos(pi*(2*n+1)/(4*n))    
-   *              where,    
-   *                 r(n) -- output of preprocessing    
-   *                 u(n) -- input to preprocessing(actual Source buffer)    
-   * (b) Calculation of DCT2 using FFT is divided into three steps:    
-   *                  Step1: Re-ordering of even and odd elements of input.    
-   *                  Step2: Calculating FFT of the re-ordered input.    
-   *                  Step3: Taking the real part of the product of FFT output and weights.    
-   * (c) Post-processing - DCT4 can be obtained from DCT2 output using the following equation:    
-   *                   Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)    
-   *                        where,    
-   *                           Y4 -- DCT4 output,   Y2 -- DCT2 output    
-   * (d) Multiplying the output with the normalizing factor sqrt(2/N).    
-   */
-
-        /*-------- Pre-processing ------------*/
-  /* Multiplying input with cos factor i.e. r(n) = 2 * x(n) * cos(pi*(2*n+1)/(4*n)) */
-  arm_scale_f32(pInlineBuffer, 2.0f, pInlineBuffer, S->N);
-  arm_mult_f32(pInlineBuffer, cosFact, pInlineBuffer, S->N);
-
-  /* ----------------------------------------------------------------    
-   * Step1: Re-ordering of even and odd elements as,    
-   *             pState[i] =  pInlineBuffer[2*i] and    
-   *             pState[N-i-1] = pInlineBuffer[2*i+1] where i = 0 to N/2    
-   ---------------------------------------------------------------------*/
-
-  /* pS1 initialized to pState */
-  pS1 = pState;
-
-  /* pS2 initialized to pState+N-1, so that it points to the end of the state buffer */
-  pS2 = pState + (S->N - 1u);
-
-  /* pbuff initialized to input buffer */
-  pbuff = pInlineBuffer;
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /* Initializing the loop counter to N/2 >> 2 for loop unrolling by 4 */
-  i = (uint32_t) S->Nby2 >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  do
-  {
-    /* Re-ordering of even and odd elements */
-    /* pState[i] =  pInlineBuffer[2*i] */
-    *pS1++ = *pbuff++;
-    /* pState[N-i-1] = pInlineBuffer[2*i+1] */
-    *pS2-- = *pbuff++;
-
-    *pS1++ = *pbuff++;
-    *pS2-- = *pbuff++;
-
-    *pS1++ = *pbuff++;
-    *pS2-- = *pbuff++;
-
-    *pS1++ = *pbuff++;
-    *pS2-- = *pbuff++;
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-  /* pbuff initialized to input buffer */
-  pbuff = pInlineBuffer;
-
-  /* pS1 initialized to pState */
-  pS1 = pState;
-
-  /* Initializing the loop counter to N/4 instead of N for loop unrolling */
-  i = (uint32_t) S->N >> 2u;
-
-  /* Processing with loop unrolling 4 times as N is always multiple of 4.    
-   * Compute 4 outputs at a time */
-  do
-  {
-    /* Writing the re-ordered output back to inplace input buffer */
-    *pbuff++ = *pS1++;
-    *pbuff++ = *pS1++;
-    *pbuff++ = *pS1++;
-    *pbuff++ = *pS1++;
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-
-  /* ---------------------------------------------------------    
-   *     Step2: Calculate RFFT for N-point input    
-   * ---------------------------------------------------------- */
-  /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */
-  arm_rfft_f32(S->pRfft, pInlineBuffer, pState);
-
-        /*----------------------------------------------------------------------    
-	 *  Step3: Multiply the FFT output with the weights.    
-	 *----------------------------------------------------------------------*/
-  arm_cmplx_mult_cmplx_f32(pState, weights, pState, S->N);
-
-  /* ----------- Post-processing ---------- */
-  /* DCT-IV can be obtained from DCT-II by the equation,    
-   *       Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)    
-   *       Hence, Y4(0) = Y2(0)/2  */
-  /* Getting only real part from the output and Converting to DCT-IV */
-
-  /* Initializing the loop counter to N >> 2 for loop unrolling by 4 */
-  i = ((uint32_t) S->N - 1u) >> 2u;
-
-  /* pbuff initialized to input buffer. */
-  pbuff = pInlineBuffer;
-
-  /* pS1 initialized to pState */
-  pS1 = pState;
-
-  /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */
-  in = *pS1++ * (float32_t) 0.5;
-  /* input buffer acts as inplace, so output values are stored in the input itself. */
-  *pbuff++ = in;
-
-  /* pState pointer is incremented twice as the real values are located alternatively in the array */
-  pS1++;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  do
-  {
-    /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
-    /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
-    in = *pS1++ - in;
-    *pbuff++ = in;
-    /* points to the next real value */
-    pS1++;
-
-    in = *pS1++ - in;
-    *pbuff++ = in;
-    pS1++;
-
-    in = *pS1++ - in;
-    *pbuff++ = in;
-    pS1++;
-
-    in = *pS1++ - in;
-    *pbuff++ = in;
-    pS1++;
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  i = ((uint32_t) S->N - 1u) % 0x4u;
-
-  while(i > 0u)
-  {
-    /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
-    /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
-    in = *pS1++ - in;
-    *pbuff++ = in;
-    /* points to the next real value */
-    pS1++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-
-
-        /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/
-
-  /* Initializing the loop counter to N/4 instead of N for loop unrolling */
-  i = (uint32_t) S->N >> 2u;
-
-  /* pbuff initialized to the pInlineBuffer(now contains the output values) */
-  pbuff = pInlineBuffer;
-
-  /* Processing with loop unrolling 4 times as N is always multiple of 4.  Compute 4 outputs at a time */
-  do
-  {
-    /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */
-    in = *pbuff;
-    *pbuff++ = in * S->normalize;
-
-    in = *pbuff;
-    *pbuff++ = in * S->normalize;
-
-    in = *pbuff;
-    *pbuff++ = in * S->normalize;
-
-    in = *pbuff;
-    *pbuff++ = in * S->normalize;
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Initializing the loop counter to N/2 */
-  i = (uint32_t) S->Nby2;
-
-  do
-  {
-    /* Re-ordering of even and odd elements */
-    /* pState[i] =  pInlineBuffer[2*i] */
-    *pS1++ = *pbuff++;
-    /* pState[N-i-1] = pInlineBuffer[2*i+1] */
-    *pS2-- = *pbuff++;
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-  /* pbuff initialized to input buffer */
-  pbuff = pInlineBuffer;
-
-  /* pS1 initialized to pState */
-  pS1 = pState;
-
-  /* Initializing the loop counter */
-  i = (uint32_t) S->N;
-
-  do
-  {
-    /* Writing the re-ordered output back to inplace input buffer */
-    *pbuff++ = *pS1++;
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-
-  /* ---------------------------------------------------------    
-   *     Step2: Calculate RFFT for N-point input    
-   * ---------------------------------------------------------- */
-  /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */
-  arm_rfft_f32(S->pRfft, pInlineBuffer, pState);
-
-        /*----------------------------------------------------------------------    
-	 *  Step3: Multiply the FFT output with the weights.    
-	 *----------------------------------------------------------------------*/
-  arm_cmplx_mult_cmplx_f32(pState, weights, pState, S->N);
-
-  /* ----------- Post-processing ---------- */
-  /* DCT-IV can be obtained from DCT-II by the equation,    
-   *       Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)    
-   *       Hence, Y4(0) = Y2(0)/2  */
-  /* Getting only real part from the output and Converting to DCT-IV */
-
-  /* pbuff initialized to input buffer. */
-  pbuff = pInlineBuffer;
-
-  /* pS1 initialized to pState */
-  pS1 = pState;
-
-  /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */
-  in = *pS1++ * (float32_t) 0.5;
-  /* input buffer acts as inplace, so output values are stored in the input itself. */
-  *pbuff++ = in;
-
-  /* pState pointer is incremented twice as the real values are located alternatively in the array */
-  pS1++;
-
-  /* Initializing the loop counter */
-  i = ((uint32_t) S->N - 1u);
-
-  do
-  {
-    /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
-    /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
-    in = *pS1++ - in;
-    *pbuff++ = in;
-    /* points to the next real value */
-    pS1++;
-
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-
-        /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/
-
-  /* Initializing the loop counter */
-  i = (uint32_t) S->N;
-
-  /* pbuff initialized to the pInlineBuffer(now contains the output values) */
-  pbuff = pInlineBuffer;
-
-  do
-  {
-    /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */
-    in = *pbuff;
-    *pbuff++ = in * S->normalize;
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-}
-
-/**    
-   * @} end of DCT4_IDCT4 group    
-   */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_dct4_init_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_dct4_init_f32.c
deleted file mode 100644
index b5f91ea32..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_dct4_init_f32.c
+++ /dev/null
@@ -1,16511 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_dct4_init_f32.c    
-*    
-* Description:	Initialization function of DCT-4 & IDCT4 F32    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupTransforms    
- */
-
-/**    
- * @addtogroup DCT4_IDCT4    
- * @{    
- */
-
-/*    
-* @brief  Weights Table    
-*/
-
-/**    
-* \par    
-* Weights tables are generated using the formula : 
weights[n] = e^(-j*n*pi/(2*N))
    
-* \par    
-* C command to generate the table    
-* 
    
-* for(i = 0; i< N; i++)    
-* {    
-*    weights[2*i]= cos(i*c);    
-*    weights[(2*i)+1]= -sin(i * c);    
-* } 
    
-* \par    
-* Where N is the Number of weights to be calculated and c is pi/(2*N)    
-* \par    
-* In the tables below the real and imaginary values are placed alternatively, hence the    
-* array length is 2*N.    
-*/
-
-static const float32_t Weights_128[256] = {
-  1.000000000000000000f, 0.000000000000000000f, 0.999924701839144500f,
-  -0.012271538285719925f,
-  0.999698818696204250f, -0.024541228522912288f, 0.999322384588349540f,
-  -0.036807222941358832f,
-  0.998795456205172410f, -0.049067674327418015f, 0.998118112900149180f,
-  -0.061320736302208578f,
-  0.997290456678690210f, -0.073564563599667426f, 0.996312612182778000f,
-  -0.085797312344439894f,
-  0.995184726672196930f, -0.098017140329560604f, 0.993906970002356060f,
-  -0.110222207293883060f,
-  0.992479534598709970f, -0.122410675199216200f, 0.990902635427780010f,
-  -0.134580708507126170f,
-  0.989176509964781010f, -0.146730474455361750f, 0.987301418157858430f,
-  -0.158858143333861450f,
-  0.985277642388941220f, -0.170961888760301220f, 0.983105487431216290f,
-  -0.183039887955140950f,
-  0.980785280403230430f, -0.195090322016128250f, 0.978317370719627650f,
-  -0.207111376192218560f,
-  0.975702130038528570f, -0.219101240156869800f, 0.972939952205560180f,
-  -0.231058108280671110f,
-  0.970031253194543970f, -0.242980179903263870f, 0.966976471044852070f,
-  -0.254865659604514570f,
-  0.963776065795439840f, -0.266712757474898370f, 0.960430519415565790f,
-  -0.278519689385053060f,
-  0.956940335732208820f, -0.290284677254462330f, 0.953306040354193860f,
-  -0.302005949319228080f,
-  0.949528180593036670f, -0.313681740398891520f, 0.945607325380521280f,
-  -0.325310292162262930f,
-  0.941544065183020810f, -0.336889853392220050f, 0.937339011912574960f,
-  -0.348418680249434560f,
-  0.932992798834738960f, -0.359895036534988110f, 0.928506080473215590f,
-  -0.371317193951837540f,
-  0.923879532511286740f, -0.382683432365089780f, 0.919113851690057770f,
-  -0.393992040061048100f,
-  0.914209755703530690f, -0.405241314004989860f, 0.909167983090522380f,
-  -0.416429560097637150f,
-  0.903989293123443340f, -0.427555093430282080f, 0.898674465693953820f,
-  -0.438616238538527660f,
-  0.893224301195515320f, -0.449611329654606540f, 0.887639620402853930f,
-  -0.460538710958240010f,
-  0.881921264348355050f, -0.471396736825997640f, 0.876070094195406600f,
-  -0.482183772079122720f,
-  0.870086991108711460f, -0.492898192229784040f, 0.863972856121586810f,
-  -0.503538383725717580f,
-  0.857728610000272120f, -0.514102744193221660f, 0.851355193105265200f,
-  -0.524589682678468950f,
-  0.844853565249707120f, -0.534997619887097150f, 0.838224705554838080f,
-  -0.545324988422046460f,
-  0.831469612302545240f, -0.555570233019602180f, 0.824589302785025290f,
-  -0.565731810783613120f,
-  0.817584813151583710f, -0.575808191417845340f, 0.810457198252594770f,
-  -0.585797857456438860f,
-  0.803207531480644940f, -0.595699304492433360f, 0.795836904608883570f,
-  -0.605511041404325550f,
-  0.788346427626606340f, -0.615231590580626820f, 0.780737228572094490f,
-  -0.624859488142386340f,
-  0.773010453362736990f, -0.634393284163645490f, 0.765167265622458960f,
-  -0.643831542889791390f,
-  0.757208846506484570f, -0.653172842953776760f, 0.749136394523459370f,
-  -0.662415777590171780f,
-  0.740951125354959110f, -0.671558954847018330f, 0.732654271672412820f,
-  -0.680600997795453020f,
-  0.724247082951467000f, -0.689540544737066830f, 0.715730825283818590f,
-  -0.698376249408972920f,
-  0.707106781186547570f, -0.707106781186547460f, 0.698376249408972920f,
-  -0.715730825283818590f,
-  0.689540544737066940f, -0.724247082951466890f, 0.680600997795453130f,
-  -0.732654271672412820f,
-  0.671558954847018330f, -0.740951125354959110f, 0.662415777590171780f,
-  -0.749136394523459260f,
-  0.653172842953776760f, -0.757208846506484460f, 0.643831542889791500f,
-  -0.765167265622458960f,
-  0.634393284163645490f, -0.773010453362736990f, 0.624859488142386450f,
-  -0.780737228572094380f,
-  0.615231590580626820f, -0.788346427626606230f, 0.605511041404325550f,
-  -0.795836904608883460f,
-  0.595699304492433470f, -0.803207531480644830f, 0.585797857456438860f,
-  -0.810457198252594770f,
-  0.575808191417845340f, -0.817584813151583710f, 0.565731810783613230f,
-  -0.824589302785025290f,
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-static const float32_t Weights_2048[4096] = {
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-};
-
-/**    
-* \par    
-* cosFactor tables are generated using the formula : 
cos_factors[n] = 2 * cos((2n+1)*pi/(4*N))
    
-* \par    
-* C command to generate the table    
-* \par    
-* 
 for(i = 0; i< N; i++)    
-* {    
-*    cos_factors[i]= 2 * cos((2*i+1)*c/2);    
-* } 
    
-* \par    
-* where N is the number of factors to generate and c is pi/(2*N)    
-*/
-static const float32_t cos_factors_128[128] = {
-  0.999981175282601110f, 0.999830581795823400f, 0.999529417501093140f,
-  0.999077727752645360f,
-  0.998475580573294770f, 0.997723066644191640f, 0.996820299291165670f,
-  0.995767414467659820f,
-  0.994564570734255420f, 0.993211949234794500f, 0.991709753669099530f,
-  0.990058210262297120f,
-  0.988257567730749460f, 0.986308097244598670f, 0.984210092386929030f,
-  0.981963869109555240f,
-  0.979569765685440520f, 0.977028142657754390f, 0.974339382785575860f,
-  0.971503890986251780f,
-  0.968522094274417380f, 0.965394441697689400f, 0.962121404269041580f,
-  0.958703474895871600f,
-  0.955141168305770780f, 0.951435020969008340f, 0.947585591017741090f,
-  0.943593458161960390f,
-  0.939459223602189920f, 0.935183509938947610f, 0.930766961078983710f,
-  0.926210242138311380f,
-  0.921514039342042010f, 0.916679059921042700f, 0.911706032005429880f,
-  0.906595704514915330f,
-  0.901348847046022030f, 0.895966249756185220f, 0.890448723244757880f,
-  0.884797098430937790f,
-  0.879012226428633530f, 0.873094978418290090f, 0.867046245515692650f,
-  0.860866938637767310f,
-  0.854557988365400530f, 0.848120344803297230f, 0.841554977436898440f,
-  0.834862874986380010f,
-  0.828045045257755800f, 0.821102514991104650f, 0.814036329705948410f,
-  0.806847553543799330f,
-  0.799537269107905010f, 0.792106577300212390f, 0.784556597155575240f,
-  0.776888465673232440f,
-  0.769103337645579700f, 0.761202385484261780f, 0.753186799043612520f,
-  0.745057785441466060f,
-  0.736816568877369900f, 0.728464390448225200f, 0.720002507961381650f,
-  0.711432195745216430f,
-  0.702754744457225300f, 0.693971460889654000f, 0.685083667772700360f,
-  0.676092703575316030f,
-  0.666999922303637470f, 0.657806693297078640f, 0.648514401022112550f,
-  0.639124444863775730f,
-  0.629638238914927100f, 0.620057211763289210f, 0.610382806276309480f,
-  0.600616479383868970f,
-  0.590759701858874280f, 0.580813958095764530f, 0.570780745886967370f,
-  0.560661576197336030f,
-  0.550457972936604810f, 0.540171472729892970f, 0.529803624686294830f,
-  0.519355990165589530f,
-  0.508830142543106990f, 0.498227666972781870f, 0.487550160148436050f,
-  0.476799230063322250f,
-  0.465976495767966130f, 0.455083587126343840f, 0.444122144570429260f,
-  0.433093818853152010f,
-  0.422000270799799790f, 0.410843171057903910f, 0.399624199845646790f,
-  0.388345046698826300f,
-  0.377007410216418310f, 0.365612997804773960f, 0.354163525420490510f,
-  0.342660717311994380f,
-  0.331106305759876430f, 0.319502030816015750f, 0.307849640041534980f,
-  0.296150888243623960f,
-  0.284407537211271820f, 0.272621355449948980f, 0.260794117915275570f,
-  0.248927605745720260f,
-  0.237023605994367340f, 0.225083911359792780f, 0.213110319916091360f,
-  0.201104634842091960f,
-  0.189068664149806280f, 0.177004220412148860f, 0.164913120489970090f,
-  0.152797185258443410f,
-  0.140658239332849240f, 0.128498110793793220f, 0.116318630911904880f,
-  0.104121633872054730f,
-  0.091908956497132696f, 0.079682437971430126f, 0.067443919563664106f,
-  0.055195244349690031f,
-  0.042938256934940959f, 0.030674803176636581f, 0.018406729905804820f,
-  0.006135884649154515f
-};
-
-static const float32_t cos_factors_512[512] = {
-  0.999998823451701880f, 0.999989411081928400f, 0.999970586430974140f,
-  0.999942349676023910f,
-  0.999904701082852900f, 0.999857641005823860f, 0.999801169887884260f,
-  0.999735288260561680f,
-  0.999659996743959220f, 0.999575296046749220f, 0.999481186966166950f,
-  0.999377670388002850f,
-  0.999264747286594420f, 0.999142418724816910f, 0.999010685854073380f,
-  0.998869549914283560f,
-  0.998719012233872940f, 0.998559074229759310f, 0.998389737407340160f,
-  0.998211003360478190f,
-  0.998022873771486240f, 0.997825350411111640f, 0.997618435138519550f,
-  0.997402129901275300f,
-  0.997176436735326190f, 0.996941357764982160f, 0.996696895202896060f,
-  0.996443051350042630f,
-  0.996179828595696980f, 0.995907229417411720f, 0.995625256380994310f,
-  0.995333912140482280f,
-  0.995033199438118630f, 0.994723121104325700f, 0.994403680057679100f,
-  0.994074879304879370f,
-  0.993736721940724600f, 0.993389211148080650f, 0.993032350197851410f,
-  0.992666142448948020f,
-  0.992290591348257370f, 0.991905700430609330f, 0.991511473318743900f,
-  0.991107913723276890f,
-  0.990695025442664630f, 0.990272812363169110f, 0.989841278458820530f,
-  0.989400427791380380f,
-  0.988950264510302990f, 0.988490792852696590f, 0.988022017143283530f,
-  0.987543941794359230f,
-  0.987056571305750970f, 0.986559910264775410f, 0.986053963346195440f,
-  0.985538735312176060f,
-  0.985014231012239840f, 0.984480455383220930f, 0.983937413449218920f,
-  0.983385110321551180f,
-  0.982823551198705240f, 0.982252741366289370f, 0.981672686196983110f,
-  0.981083391150486710f,
-  0.980484861773469380f, 0.979877103699517640f, 0.979260122649082020f,
-  0.978633924429423210f,
-  0.977998514934557140f, 0.977353900145199960f, 0.976700086128711840f,
-  0.976037079039039020f,
-  0.975364885116656980f, 0.974683510688510670f, 0.973992962167955830f,
-  0.973293246054698250f,
-  0.972584368934732210f, 0.971866337480279400f, 0.971139158449725090f,
-  0.970402838687555500f,
-  0.969657385124292450f, 0.968902804776428870f, 0.968139104746362440f,
-  0.967366292222328510f,
-  0.966584374478333120f, 0.965793358874083680f, 0.964993252854920320f,
-  0.964184063951745830f,
-  0.963365799780954050f, 0.962538468044359160f, 0.961702076529122540f,
-  0.960856633107679660f,
-  0.960002145737665960f, 0.959138622461841890f, 0.958266071408017670f,
-  0.957384500788975860f,
-  0.956493918902395100f, 0.955594334130771110f, 0.954685754941338340f,
-  0.953768189885990330f,
-  0.952841647601198720f, 0.951906136807932350f, 0.950961666311575080f,
-  0.950008245001843000f,
-  0.949045881852700560f, 0.948074585922276230f, 0.947094366352777220f,
-  0.946105232370403450f,
-  0.945107193285260610f, 0.944100258491272660f, 0.943084437466093490f,
-  0.942059739771017310f,
-  0.941026175050889260f, 0.939983753034014050f, 0.938932483532064600f,
-  0.937872376439989890f,
-  0.936803441735921560f, 0.935725689481080370f, 0.934639129819680780f,
-  0.933543772978836170f,
-  0.932439629268462360f, 0.931326709081180430f, 0.930205022892219070f,
-  0.929074581259315860f,
-  0.927935394822617890f, 0.926787474304581750f, 0.925630830509872720f,
-  0.924465474325262600f,
-  0.923291416719527640f, 0.922108668743345180f, 0.920917241529189520f,
-  0.919717146291227360f,
-  0.918508394325212250f, 0.917290997008377910f, 0.916064965799331720f,
-  0.914830312237946200f,
-  0.913587047945250810f, 0.912335184623322750f, 0.911074734055176360f,
-  0.909805708104652220f,
-  0.908528118716306120f, 0.907241977915295820f, 0.905947297807268460f,
-  0.904644090578246240f,
-  0.903332368494511820f, 0.902012143902493180f, 0.900683429228646970f,
-  0.899346236979341570f,
-  0.898000579740739880f, 0.896646470178680150f, 0.895283921038557580f,
-  0.893912945145203250f,
-  0.892533555402764580f, 0.891145764794583180f, 0.889749586383072780f,
-  0.888345033309596350f,
-  0.886932118794342190f, 0.885510856136199950f, 0.884081258712634990f,
-  0.882643339979562790f,
-  0.881197113471222090f, 0.879742592800047410f, 0.878279791656541580f,
-  0.876808723809145650f,
-  0.875329403104110890f, 0.873841843465366860f, 0.872346058894391540f,
-  0.870842063470078980f,
-  0.869329871348606840f, 0.867809496763303320f, 0.866280954024512990f,
-  0.864744257519462380f,
-  0.863199421712124160f, 0.861646461143081300f, 0.860085390429390140f,
-  0.858516224264442740f,
-  0.856938977417828760f, 0.855353664735196030f, 0.853760301138111410f,
-  0.852158901623919830f,
-  0.850549481265603480f, 0.848932055211639610f, 0.847306638685858320f,
-  0.845673246987299070f,
-  0.844031895490066410f, 0.842382599643185850f, 0.840725374970458070f,
-  0.839060237070312740f,
-  0.837387201615661940f, 0.835706284353752600f, 0.834017501106018130f,
-  0.832320867767929680f,
-  0.830616400308846310f, 0.828904114771864870f, 0.827184027273669130f,
-  0.825456154004377550f,
-  0.823720511227391430f, 0.821977115279241550f, 0.820225982569434690f,
-  0.818467129580298660f,
-  0.816700572866827850f, 0.814926329056526620f, 0.813144414849253590f,
-  0.811354847017063730f,
-  0.809557642404051260f, 0.807752817926190360f, 0.805940390571176280f,
-  0.804120377398265810f,
-  0.802292795538115720f, 0.800457662192622820f, 0.798614994634760820f,
-  0.796764810208418830f,
-  0.794907126328237010f, 0.793041960479443640f, 0.791169330217690200f,
-  0.789289253168885650f,
-  0.787401747029031430f, 0.785506829564053930f, 0.783604518609638200f,
-  0.781694832071059390f,
-  0.779777787923014550f, 0.777853404209453150f, 0.775921699043407690f,
-  0.773982690606822900f,
-  0.772036397150384520f, 0.770082836993347900f, 0.768122028523365420f,
-  0.766153990196312920f,
-  0.764178740536116670f, 0.762196298134578900f, 0.760206681651202420f,
-  0.758209909813015280f,
-  0.756206001414394540f, 0.754194975316889170f, 0.752176850449042810f,
-  0.750151645806215070f,
-  0.748119380450403600f, 0.746080073510063780f, 0.744033744179929290f,
-  0.741980411720831070f,
-  0.739920095459516200f, 0.737852814788465980f, 0.735778589165713590f,
-  0.733697438114660370f,
-  0.731609381223892630f, 0.729514438146997010f, 0.727412628602375770f,
-  0.725303972373060770f,
-  0.723188489306527460f, 0.721066199314508110f, 0.718937122372804490f,
-  0.716801278521099540f,
-  0.714658687862769090f, 0.712509370564692320f, 0.710353346857062420f,
-  0.708190637033195400f,
-  0.706021261449339740f, 0.703845240524484940f, 0.701662594740168570f,
-  0.699473344640283770f,
-  0.697277510830886630f, 0.695075113980000880f, 0.692866174817424740f,
-  0.690650714134534720f,
-  0.688428752784090550f, 0.686200311680038700f, 0.683965411797315510f,
-  0.681724074171649820f,
-  0.679476319899365080f, 0.677222170137180450f, 0.674961646102012040f,
-  0.672694769070772970f,
-  0.670421560380173090f, 0.668142041426518560f, 0.665856233665509720f,
-  0.663564158612039880f,
-  0.661265837839992270f, 0.658961292982037320f, 0.656650545729429050f,
-  0.654333617831800550f,
-  0.652010531096959500f, 0.649681307390683190f, 0.647345968636512060f,
-  0.645004536815544040f,
-  0.642657033966226860f, 0.640303482184151670f, 0.637943903621844170f,
-  0.635578320488556230f,
-  0.633206755050057190f, 0.630829229628424470f, 0.628445766601832710f,
-  0.626056388404343520f,
-  0.623661117525694640f, 0.621259976511087660f, 0.618852987960976320f,
-  0.616440174530853650f,
-  0.614021558931038490f, 0.611597163926462020f, 0.609167012336453210f,
-  0.606731127034524480f,
-  0.604289530948156070f, 0.601842247058580030f, 0.599389298400564540f,
-  0.596930708062196500f,
-  0.594466499184664540f, 0.591996694962040990f, 0.589521318641063940f,
-  0.587040393520918080f,
-  0.584553942953015330f, 0.582061990340775550f, 0.579564559139405740f,
-  0.577061672855679550f,
-  0.574553355047715760f, 0.572039629324757050f, 0.569520519346947250f,
-  0.566996048825108680f,
-  0.564466241520519500f, 0.561931121244689470f, 0.559390711859136140f,
-  0.556845037275160100f,
-  0.554294121453620110f, 0.551737988404707450f, 0.549176662187719770f,
-  0.546610166910834860f,
-  0.544038526730883930f, 0.541461765853123560f, 0.538879908531008420f,
-  0.536292979065963180f,
-  0.533701001807152960f, 0.531104001151255000f, 0.528502001542228480f,
-  0.525895027471084740f,
-  0.523283103475656430f, 0.520666254140367270f, 0.518044504095999340f,
-  0.515417878019463150f,
-  0.512786400633563070f, 0.510150096706766700f, 0.507508991052970870f,
-  0.504863108531267480f,
-  0.502212474045710900f, 0.499557112545081890f, 0.496897049022654640f,
-  0.494232308515959730f,
-  0.491562916106550060f, 0.488888896919763230f, 0.486210276124486530f,
-  0.483527078932918740f,
-  0.480839330600333900f, 0.478147056424843120f, 0.475450281747155870f,
-  0.472749031950342900f,
-  0.470043332459595620f, 0.467333208741988530f, 0.464618686306237820f,
-  0.461899790702462840f,
-  0.459176547521944150f, 0.456448982396883860f, 0.453717121000163930f,
-  0.450980989045103810f,
-  0.448240612285220000f, 0.445496016513981740f, 0.442747227564570130f,
-  0.439994271309633260f,
-  0.437237173661044200f, 0.434475960569655710f, 0.431710658025057370f,
-  0.428941292055329550f,
-  0.426167888726799620f, 0.423390474143796100f, 0.420609074448402510f,
-  0.417823715820212380f,
-  0.415034424476081630f, 0.412241226669883000f, 0.409444148692257590f,
-  0.406643216870369140f,
-  0.403838457567654130f, 0.401029897183575790f, 0.398217562153373620f,
-  0.395401478947816300f,
-  0.392581674072951530f, 0.389758174069856410f, 0.386931005514388690f,
-  0.384100195016935040f,
-  0.381265769222162490f, 0.378427754808765620f, 0.375586178489217330f,
-  0.372741067009515810f,
-  0.369892447148934270f, 0.367040345719767240f, 0.364184789567079840f,
-  0.361325805568454340f,
-  0.358463420633736540f, 0.355597661704783960f, 0.352728555755210730f,
-  0.349856129790135030f,
-  0.346980410845923680f, 0.344101425989938980f, 0.341219202320282410f,
-  0.338333766965541290f,
-  0.335445147084531660f, 0.332553369866044220f, 0.329658462528587550f,
-  0.326760452320131790f,
-  0.323859366517852960f, 0.320955232427875210f, 0.318048077385015060f,
-  0.315137928752522440f,
-  0.312224813921825050f, 0.309308760312268780f, 0.306389795370861080f,
-  0.303467946572011370f,
-  0.300543241417273400f, 0.297615707435086310f, 0.294685372180514330f,
-  0.291752263234989370f,
-  0.288816408206049480f, 0.285877834727080730f, 0.282936570457055390f,
-  0.279992643080273380f,
-  0.277046080306099950f, 0.274096909868706330f, 0.271145159526808070f,
-  0.268190857063403180f,
-  0.265234030285511900f, 0.262274707023913590f, 0.259312915132886350f,
-  0.256348682489942910f,
-  0.253382036995570270f, 0.250413006572965280f, 0.247441619167773440f,
-  0.244467902747824210f,
-  0.241491885302869300f, 0.238513594844318500f, 0.235533059404975460f,
-  0.232550307038775330f,
-  0.229565365820518870f, 0.226578263845610110f, 0.223589029229790020f,
-  0.220597690108873650f,
-  0.217604274638483670f, 0.214608810993786920f, 0.211611327369227610f,
-  0.208611851978263460f,
-  0.205610413053099320f, 0.202607038844421110f, 0.199601757621131050f,
-  0.196594597670080220f,
-  0.193585587295803750f, 0.190574754820252800f, 0.187562128582529740f,
-  0.184547736938619640f,
-  0.181531608261125130f, 0.178513770938997590f, 0.175494253377271400f,
-  0.172473083996796030f,
-  0.169450291233967930f, 0.166425903540464220f, 0.163399949382973230f,
-  0.160372457242928400f,
-  0.157343455616238280f, 0.154312973013020240f, 0.151281037957330250f,
-  0.148247678986896200f,
-  0.145212924652847520f, 0.142176803519448000f, 0.139139344163826280f,
-  0.136100575175706200f,
-  0.133060525157139180f, 0.130019222722233350f, 0.126976696496885980f,
-  0.123932975118512200f,
-  0.120888087235777220f, 0.117842061508325020f, 0.114794926606510250f,
-  0.111746711211126660f,
-  0.108697444013138670f, 0.105647153713410700f, 0.102595869022436280f,
-  0.099543618660069444f,
-  0.096490431355252607f, 0.093436335845747912f, 0.090381360877865011f,
-  0.087325535206192226f,
-  0.084268887593324127f, 0.081211446809592386f, 0.078153241632794315f,
-  0.075094300847921291f,
-  0.072034653246889416f, 0.068974327628266732f, 0.065913352797003930f,
-  0.062851757564161420f,
-  0.059789570746640007f, 0.056726821166907783f, 0.053663537652730679f,
-  0.050599749036899337f,
-  0.047535484156959261f, 0.044470771854938744f, 0.041405640977076712f,
-  0.038340120373552791f,
-  0.035274238898213947f, 0.032208025408304704f, 0.029141508764193740f,
-  0.026074717829104040f,
-  0.023007681468839410f, 0.019940428551514598f, 0.016872987947281773f,
-  0.013805388528060349f,
-  0.010737659167264572f, 0.007669828739531077f, 0.004601926120448672f,
-  0.001533980186284766f
-};
-
-static const float32_t cos_factors_2048[2048] = {
-  0.999999926465717890f, 0.999999338191525530f, 0.999998161643486980f,
-  0.999996396822294350f,
-  0.999994043728985820f, 0.999991102364945590f, 0.999987572731904080f,
-  0.999983454831937730f,
-  0.999978748667468830f, 0.999973454241265940f, 0.999967571556443780f,
-  0.999961100616462820f,
-  0.999954041425129780f, 0.999946393986597460f, 0.999938158305364590f,
-  0.999929334386276070f,
-  0.999919922234522750f, 0.999909921855641540f, 0.999899333255515390f,
-  0.999888156440373320f,
-  0.999876391416790410f, 0.999864038191687680f, 0.999851096772332190f,
-  0.999837567166337090f,
-  0.999823449381661570f, 0.999808743426610520f, 0.999793449309835270f,
-  0.999777567040332940f,
-  0.999761096627446610f, 0.999744038080865430f, 0.999726391410624470f,
-  0.999708156627104880f,
-  0.999689333741033640f, 0.999669922763483760f, 0.999649923705874240f,
-  0.999629336579970110f,
-  0.999608161397882110f, 0.999586398172067070f, 0.999564046915327740f,
-  0.999541107640812940f,
-  0.999517580362016990f, 0.999493465092780590f, 0.999468761847290050f,
-  0.999443470640077770f,
-  0.999417591486021720f, 0.999391124400346050f, 0.999364069398620550f,
-  0.999336426496761240f,
-  0.999308195711029470f, 0.999279377058032710f, 0.999249970554724420f,
-  0.999219976218403530f,
-  0.999189394066714920f, 0.999158224117649430f, 0.999126466389543390f,
-  0.999094120901079070f,
-  0.999061187671284600f, 0.999027666719533690f, 0.998993558065545680f,
-  0.998958861729386080f,
-  0.998923577731465780f, 0.998887706092541290f, 0.998851246833715180f,
-  0.998814199976435390f,
-  0.998776565542495610f, 0.998738343554035230f, 0.998699534033539280f,
-  0.998660137003838490f,
-  0.998620152488108870f, 0.998579580509872500f, 0.998538421092996730f,
-  0.998496674261694640f,
-  0.998454340040524800f, 0.998411418454391300f, 0.998367909528543820f,
-  0.998323813288577560f,
-  0.998279129760433200f, 0.998233858970396850f, 0.998188000945100300f,
-  0.998141555711520520f,
-  0.998094523296980010f, 0.998046903729146840f, 0.997998697036034390f,
-  0.997949903246001190f,
-  0.997900522387751620f, 0.997850554490335110f, 0.997799999583146470f,
-  0.997748857695925690f,
-  0.997697128858758500f, 0.997644813102075420f, 0.997591910456652630f,
-  0.997538420953611340f,
-  0.997484344624417930f, 0.997429681500884180f, 0.997374431615167150f,
-  0.997318594999768600f,
-  0.997262171687536170f, 0.997205161711661850f, 0.997147565105683480f,
-  0.997089381903483400f,
-  0.997030612139289450f, 0.996971255847674320f, 0.996911313063555740f,
-  0.996850783822196610f,
-  0.996789668159204560f, 0.996727966110532490f, 0.996665677712478160f,
-  0.996602803001684130f,
-  0.996539342015137940f, 0.996475294790172160f, 0.996410661364464100f,
-  0.996345441776035900f,
-  0.996279636063254650f, 0.996213244264832040f, 0.996146266419824620f,
-  0.996078702567633980f,
-  0.996010552748005870f, 0.995941817001031350f, 0.995872495367145730f,
-  0.995802587887129160f,
-  0.995732094602106430f, 0.995661015553546910f, 0.995589350783264600f,
-  0.995517100333418110f,
-  0.995444264246510340f, 0.995370842565388990f, 0.995296835333246090f,
-  0.995222242593618360f,
-  0.995147064390386470f, 0.995071300767776170f, 0.994994951770357020f,
-  0.994918017443043200f,
-  0.994840497831093180f, 0.994762392980109930f, 0.994683702936040250f,
-  0.994604427745175660f,
-  0.994524567454151740f, 0.994444122109948040f, 0.994363091759888570f,
-  0.994281476451641550f,
-  0.994199276233218910f, 0.994116491152977070f, 0.994033121259616400f,
-  0.993949166602181130f,
-  0.993864627230059750f, 0.993779503192984580f, 0.993693794541031790f,
-  0.993607501324621610f,
-  0.993520623594518090f, 0.993433161401829360f, 0.993345114798006910f,
-  0.993256483834846440f,
-  0.993167268564487230f, 0.993077469039412300f, 0.992987085312448390f,
-  0.992896117436765980f,
-  0.992804565465879140f, 0.992712429453645460f, 0.992619709454266140f,
-  0.992526405522286100f,
-  0.992432517712593660f, 0.992338046080420420f, 0.992242990681341700f,
-  0.992147351571276090f,
-  0.992051128806485720f, 0.991954322443575950f, 0.991856932539495470f,
-  0.991758959151536110f,
-  0.991660402337333210f, 0.991561262154865290f, 0.991461538662453790f,
-  0.991361231918763460f,
-  0.991260341982802440f, 0.991158868913921350f, 0.991056812771814340f,
-  0.990954173616518500f,
-  0.990850951508413620f, 0.990747146508222710f, 0.990642758677011570f,
-  0.990537788076188750f,
-  0.990432234767505970f, 0.990326098813057330f, 0.990219380275280000f,
-  0.990112079216953770f,
-  0.990004195701200910f, 0.989895729791486660f, 0.989786681551618640f,
-  0.989677051045747210f,
-  0.989566838338365120f, 0.989456043494307710f, 0.989344666578752640f,
-  0.989232707657220050f,
-  0.989120166795572690f, 0.989007044060015270f, 0.988893339517095130f,
-  0.988779053233701520f,
-  0.988664185277066230f, 0.988548735714763200f, 0.988432704614708340f,
-  0.988316092045159690f,
-  0.988198898074717610f, 0.988081122772324070f, 0.987962766207263420f,
-  0.987843828449161740f,
-  0.987724309567986960f, 0.987604209634049160f, 0.987483528717999710f,
-  0.987362266890832400f,
-  0.987240424223882250f, 0.987118000788826280f, 0.986994996657682980f,
-  0.986871411902812470f,
-  0.986747246596916590f, 0.986622500813038480f, 0.986497174624562880f,
-  0.986371268105216030f,
-  0.986244781329065460f, 0.986117714370520090f, 0.985990067304330140f,
-  0.985861840205586980f,
-  0.985733033149723490f, 0.985603646212513400f, 0.985473679470071810f,
-  0.985343132998854790f,
-  0.985212006875659350f, 0.985080301177623800f, 0.984948015982227030f,
-  0.984815151367289140f,
-  0.984681707410970940f, 0.984547684191773960f, 0.984413081788540700f,
-  0.984277900280454370f,
-  0.984142139747038570f, 0.984005800268157870f, 0.983868881924017220f,
-  0.983731384795162090f,
-  0.983593308962478650f, 0.983454654507193270f, 0.983315421510872810f,
-  0.983175610055424420f,
-  0.983035220223095640f, 0.982894252096474070f, 0.982752705758487830f,
-  0.982610581292404750f,
-  0.982467878781833170f, 0.982324598310721280f, 0.982180739963357090f,
-  0.982036303824369020f,
-  0.981891289978725100f, 0.981745698511732990f, 0.981599529509040720f,
-  0.981452783056635520f,
-  0.981305459240844670f, 0.981157558148334830f, 0.981009079866112630f,
-  0.980860024481523870f,
-  0.980710392082253970f, 0.980560182756327840f, 0.980409396592109910f,
-  0.980258033678303550f,
-  0.980106094103951770f, 0.979953577958436740f, 0.979800485331479790f,
-  0.979646816313141210f,
-  0.979492570993820810f, 0.979337749464256780f, 0.979182351815526930f,
-  0.979026378139047580f,
-  0.978869828526574120f, 0.978712703070200420f, 0.978555001862359550f,
-  0.978396724995823090f,
-  0.978237872563701090f, 0.978078444659442380f, 0.977918441376834370f,
-  0.977757862810002760f,
-  0.977596709053411890f, 0.977434980201864260f, 0.977272676350500860f,
-  0.977109797594800880f,
-  0.976946344030581670f, 0.976782315753998650f, 0.976617712861545640f,
-  0.976452535450054060f,
-  0.976286783616693630f, 0.976120457458971910f, 0.975953557074734300f,
-  0.975786082562163930f,
-  0.975618034019781750f, 0.975449411546446380f, 0.975280215241354220f,
-  0.975110445204038890f,
-  0.974940101534371830f, 0.974769184332561770f, 0.974597693699155050f,
-  0.974425629735034990f,
-  0.974252992541422500f, 0.974079782219875680f, 0.973905998872289570f,
-  0.973731642600896400f,
-  0.973556713508265560f, 0.973381211697303290f, 0.973205137271252800f,
-  0.973028490333694210f,
-  0.972851270988544180f, 0.972673479340056430f, 0.972495115492821190f,
-  0.972316179551765300f,
-  0.972136671622152230f, 0.971956591809581720f, 0.971775940219990140f,
-  0.971594716959650160f,
-  0.971412922135170940f, 0.971230555853497380f, 0.971047618221911100f,
-  0.970864109348029470f,
-  0.970680029339806130f, 0.970495378305530560f, 0.970310156353828110f,
-  0.970124363593660280f,
-  0.969938000134323960f, 0.969751066085452140f, 0.969563561557013180f,
-  0.969375486659311280f,
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-  0.968617485593697540f,
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-  0.967850367531413620f,
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-  0.967074139692867040f,
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-  0.966288809384209690f,
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-  0.965494383997269500f,
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-  0.964690871009481030f,
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-  0.963878277983814200f,
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-  0.963056612568704340f,
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-  0.962225882497979020f,
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-  0.961386095590786250f,
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-  0.960537259751520050f,
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-  0.959679382969746750f,
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-  0.958812473320129310f,
-  0.958594335476470220f, 0.958375633716461170f, 0.958156368168758820f,
-  0.957936538962351420f,
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-  0.957051588141040970f,
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-  0.956157629185692140f,
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-  0.955254670510586990f,
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-  0.954342720614716480f,
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-  0.946724485268921170f,
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-  0.945732010777477150f,
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-  0.944730634696167800f,
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-  0.943720366450326200f,
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-  0.058641104054683348f,
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-  0.055578150871004817f,
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-  0.052514674564603257f,
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-  0.049450703970084824f,
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-  0.046386267926707213f,
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-  0.043321395278109784f,
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-  0.040256114872041358f,
-  0.039489734439384118f, 0.038723330775933762f, 0.037956904332545366f,
-  0.037190455560088091f,
-  0.036423984909444228f, 0.035657492831508264f, 0.034890979777187955f,
-  0.034124446197403423f,
-  0.033357892543086159f, 0.032591319265180385f, 0.031824726814640963f,
-  0.031058115642434700f,
-  0.030291486199539423f, 0.029524838936943035f, 0.028758174305644590f,
-  0.027991492756653365f,
-  0.027224794740987910f, 0.026458080709677145f, 0.025691351113759395f,
-  0.024924606404281485f,
-  0.024157847032300020f, 0.023391073448879338f, 0.022624286105092803f,
-  0.021857485452021874f,
-  0.021090671940755180f, 0.020323846022389572f, 0.019557008148029204f,
-  0.018790158768784596f,
-  0.018023298335773701f, 0.017256427300120978f, 0.016489546112956454f,
-  0.015722655225417017f,
-  0.014955755088644378f, 0.014188846153786343f, 0.013421928871995907f,
-  0.012655003694430301f,
-  0.011888071072252072f, 0.011121131456628141f, 0.010354185298728884f,
-  0.009587233049729183f,
-  0.008820275160807512f, 0.008053312083144991f, 0.007286344267926684f,
-  0.006519372166339549f,
-  0.005752396229573737f, 0.004985416908821652f, 0.004218434655277024f,
-  0.003451449920135975f,
-  0.002684463154596083f, 0.001917474809855460f, 0.001150485337113809f,
-  0.000383495187571497f
-};
-
-static const float32_t cos_factors_8192[8192] = {
-  1.999999990808214700, 1.999999917273932200, 1.999999770205369800,
-    1.999999549602533100,
-  1.999999255465430200, 1.999998887794072000, 1.999998446588471700,
-    1.999997931848645600,
-  1.999997343574612800, 1.999996681766395000, 1.999995946424016200,
-    1.999995137547503600,
-  1.999994255136887000, 1.999993299192198700, 1.999992269713474200,
-    1.999991166700750800,
-  1.999989990154069600, 1.999988740073473500, 1.999987416459008600,
-    1.999986019310723500,
-  1.999984548628669600, 1.999983004412901000, 1.999981386663474400,
-    1.999979695380449400,
-  1.999977930563888100, 1.999976092213855400, 1.999974180330418700,
-    1.999972194913648900,
-  1.999970135963618400, 1.999968003480403000, 1.999965797464081200,
-    1.999963517914734100,
-  1.999961164832445800, 1.999958738217302300, 1.999956238069392900,
-    1.999953664388809800,
-  1.999951017175647600, 1.999948296430003500, 1.999945502151977600,
-    1.999942634341672600,
-  1.999939692999193900, 1.999936678124649700, 1.999933589718150700,
-    1.999930427779810900,
-  1.999927192309745900, 1.999923883308075200, 1.999920500774920300,
-    1.999917044710405500,
-  1.999913515114657900, 1.999909911987807200, 1.999906235329986100,
-    1.999902485141329400,
-  1.999898661421975400, 1.999894764172064600, 1.999890793391740000,
-    1.999886749081147800,
-  1.999882631240436700, 1.999878439869758200, 1.999874174969266300,
-    1.999869836539117700,
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-    1.999851747525188200,
-  1.999847041449203300, 1.999842261844559700, 1.999837408711432600,
-    1.999832482050000900,
-  1.999827481860445300, 1.999822408142949900, 1.999817260897701400,
-    1.999812040124888700,
-  1.999806745824704000, 1.999801377997341800, 1.999795936642999600,
-    1.999790421761877400,
-  1.999784833354177900, 1.999779171420106700, 1.999773435959872000,
-    1.999767626973684400,
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-    1.999743655773719400,
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-    1.999718508176084000,
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-    1.999692184195571900,
-  1.999685419392419000, 1.999678581066549400, 1.999671669218214600,
-    1.999664683847668800,
-  1.999657624955168700, 1.999650492540973900, 1.999643286605346800,
-    1.999636007148552400,
-  1.999628654170857900, 1.999621227672533800, 1.999613727653853500,
-    1.999606154115092500,
-  1.999598507056529000, 1.999590786478444600, 1.999582992381123000,
-    1.999575124764850800,
-  1.999567183629917100, 1.999559168976613900, 1.999551080805236100,
-    1.999542919116081000,
-  1.999534683909448600, 1.999526375185641800, 1.999517992944965800,
-    1.999509537187729200,
-  1.999501007914242600, 1.999492405124819700, 1.999483728819776900,
-    1.999474978999432800,
-  1.999466155664109600, 1.999457258814131500, 1.999448288449825500,
-    1.999439244571521700,
-  1.999430127179552500, 1.999420936274252800, 1.999411671855960900,
-    1.999402333925017300,
-  1.999392922481765500, 1.999383437526551300, 1.999373879059723500,
-    1.999364247081633500,
-  1.999354541592635500, 1.999344762593086500, 1.999334910083345700,
-    1.999324984063775700,
-  1.999314984534741100, 1.999304911496609700, 1.999294764949752100,
-    1.999284544894541100,
-  1.999274251331352400, 1.999263884260564600, 1.999253443682558900,
-    1.999242929597719200,
-  1.999232342006432000, 1.999221680909086400, 1.999210946306074500,
-    1.999200138197791100,
-  1.999189256584633600, 1.999178301467001900, 1.999167272845298900,
-    1.999156170719930100,
-  1.999144995091303600, 1.999133745959830600, 1.999122423325924200,
-    1.999111027190001000,
-  1.999099557552479900, 1.999088014413782800, 1.999076397774334000,
-    1.999064707634560700,
-  1.999052943994892300, 1.999041106855761900, 1.999029196217604100,
-    1.999017212080857400,
-  1.999005154445962200, 1.998993023313361700, 1.998980818683502100,
-    1.998968540556831800,
-  1.998956188933802800, 1.998943763814868800, 1.998931265200486900,
-    1.998918693091116200,
-  1.998906047487219600, 1.998893328389261400, 1.998880535797709700,
-    1.998867669713034500,
-  1.998854730135709400, 1.998841717066209400, 1.998828630505013400,
-    1.998815470452602400,
-  1.998802236909460500, 1.998788929876074100, 1.998775549352932400,
-    1.998762095340527400,
-  1.998748567839354000, 1.998734966849909000, 1.998721292372693100,
-    1.998707544408208700,
-  1.998693722956961500, 1.998679828019459300, 1.998665859596213500,
-    1.998651817687737300,
-  1.998637702294547000, 1.998623513417161700, 1.998609251056103100,
-    1.998594915211895600,
-  1.998580505885066100, 1.998566023076144600, 1.998551466785663400,
-    1.998536837014157900,
-  1.998522133762165900, 1.998507357030227900, 1.998492506818887200,
-    1.998477583128690100,
-  1.998462585960185000, 1.998447515313923400, 1.998432371190459500,
-    1.998417153590349900,
-  1.998401862514154200, 1.998386497962434800, 1.998371059935756300,
-    1.998355548434686400,
-  1.998339963459795400, 1.998324305011656600, 1.998308573090845200,
-    1.998292767697940100,
-  1.998276888833522300, 1.998260936498175400, 1.998244910692486000,
-    1.998228811417043700,
-  1.998212638672439900, 1.998196392459269400, 1.998180072778129600,
-    1.998163679629620500,
-  1.998147213014344900, 1.998130672932908000, 1.998114059385918400,
-    1.998097372373986300,
-  1.998080611897725700, 1.998063777957752600, 1.998046870554686100,
-    1.998029889689147700,
-  1.998012835361761900, 1.997995707573155600, 1.997978506323958600,
-    1.997961231614803200,
-  1.997943883446324800, 1.997926461819161000, 1.997908966733952500,
-    1.997891398191342400,
-  1.997873756191977000, 1.997856040736504500, 1.997838251825576400,
-    1.997820389459846700,
-  1.997802453639972300, 1.997784444366612600, 1.997766361640429800,
-    1.997748205462088500,
-  1.997729975832256600, 1.997711672751604200, 1.997693296220804000,
-    1.997674846240532000,
-  1.997656322811466500, 1.997637725934288300, 1.997619055609681600,
-    1.997600311838332500,
-  1.997581494620930300, 1.997562603958166600, 1.997543639850736200,
-    1.997524602299336500,
-  1.997505491304667000, 1.997486306867430900, 1.997467048988333000,
-    1.997447717668082000,
-  1.997428312907388200, 1.997408834706965000, 1.997389283067528800,
-    1.997369657989798400,
-  1.997349959474495200, 1.997330187522343700, 1.997310342134070800,
-    1.997290423310406100,
-  1.997270431052081900, 1.997250365359833200, 1.997230226234397900,
-    1.997210013676516700,
-  1.997189727686932400, 1.997169368266390900, 1.997148935415640600,
-    1.997128429135433400,
-  1.997107849426522600, 1.997087196289665000, 1.997066469725620200,
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-  0.094879437039879722, 0.094496371877227495, 0.094113303240214247,
-    0.093730231142923864,
-  0.093347155599440373, 0.092964076623849271, 0.092580994230234359,
-    0.092197908432681386,
-  0.091814819245274432, 0.091431726682099479, 0.091048630757241303,
-    0.090665531484784803,
-  0.090282428878816323, 0.089899322953420582, 0.089516213722684160,
-    0.089133101200692441,
-  0.088749985401530951, 0.088366866339286629, 0.087983744028044805,
-    0.087600618481892656,
-  0.087217489714916191, 0.086834357741201490, 0.086451222574836131,
-    0.086068084229906014,
-  0.085684942720498897, 0.085301798060701386, 0.084918650264600160,
-    0.084535499346283349,
-  0.084152345319837438, 0.083769188199350780, 0.083386027998910095,
-    0.083002864732603973,
-  0.082619698414519799, 0.082236529058745025, 0.081853356679368619,
-    0.081470181290477811,
-  0.081087002906161790, 0.080703821540508452, 0.080320637207605849,
-    0.079937449921543474,
-  0.079554259696409127, 0.079171066546292510, 0.078787870485282088,
-    0.078404671527466441,
-  0.078021469686935602, 0.077638264977777913, 0.077255057414083589,
-    0.076871847009941652,
-  0.076488633779441206, 0.076105417736672773, 0.075722198895725248,
-    0.075338977270689375,
-  0.074955752875654230, 0.074572525724710764, 0.074189295831948693,
-    0.073806063211457842,
-  0.073422827877329483, 0.073039589843653177, 0.072656349124520389,
-    0.072273105734021334,
-  0.071889859686246352, 0.071506610995287156, 0.071123359675233852,
-    0.070740105740178361,
-  0.070356849204211397, 0.069973590081423773, 0.069590328385907715,
-    0.069207064131753759,
-  0.068823797333054326, 0.068440528003900616, 0.068057256158383886,
-    0.067673981810596848,
-  0.067290704974630494, 0.066907425664577733, 0.066524143894529736,
-    0.066140859678579578,
-  0.065757573030819083, 0.065374283965340146, 0.064990992496236119,
-    0.064607698637598646,
-  0.064224402403521202, 0.063841103808096086, 0.063457802865415636,
-    0.063074499589573618,
-  0.062691193994662109, 0.062307886094775049, 0.061924575904005130,
-    0.061541263436445129,
-  0.061157948706189229, 0.060774631727329942, 0.060391312513961619,
-    0.060007991080177375,
-  0.059624667440070382, 0.059241341607735261, 0.058858013597264912,
-    0.058474683422754095,
-  0.058091351098295878, 0.057708016637985186, 0.057324680055915692,
-    0.056941341366181127,
-  0.056558000582876661, 0.056174657720095743, 0.055791312791933681,
-    0.055407965812484541,
-  0.055024616795842439, 0.054641265756102911, 0.054257912707359794,
-    0.053874557663708772,
-  0.053491200639244271, 0.053107841648060788, 0.052724480704254229,
-    0.052341117821918783,
-  0.051957753015150501, 0.051574386298044173, 0.051191017684694640,
-    0.050807647189198162,
-  0.050424274825649297, 0.050040900608144430, 0.049657524550778251,
-    0.049274146667647289,
-  0.048890766972846805, 0.048507385480472134, 0.048124002204620014,
-    0.047740617159385448,
-  0.047357230358865306, 0.046973841817155179, 0.046590451548350717,
-    0.046207059566548990,
-  0.045823665885845313, 0.045440270520336883, 0.045056873484119603,
-    0.044673474791289434,
-  0.044290074455943754, 0.043906672492178188, 0.043523268914090238,
-    0.043139863735776100,
-  0.042756456971332048, 0.042373048634855741, 0.041989638740443119,
-    0.041606227302191955,
-  0.041222814334198304, 0.040839399850560058, 0.040455983865373815,
-    0.040072566392736257,
-  0.039689147446745419, 0.039305727041497644, 0.038922305191091085,
-    0.038538881909622631,
-  0.038155457211189216, 0.037772031109889144, 0.037388603619819022,
-    0.037005174755077273,
-  0.036621744529761024, 0.036238312957967478, 0.035854880053795196,
-    0.035471445831341021,
-  0.035088010304703626, 0.034704573487980395, 0.034321135395268765,
-    0.033937696040667535,
-  0.033554255438273790, 0.033170813602186440, 0.032787370546502645,
-    0.032403926285321405,
-  0.032020480832740429, 0.031637034202857461, 0.031253586409771626,
-    0.030870137467580314,
-  0.030486687390382738, 0.030103236192276818, 0.029719783887360508,
-    0.029336330489733147,
-  0.028952876013492331, 0.028569420472737472, 0.028185963881566689,
-    0.027802506254078142,
-  0.027419047604371360, 0.027035587946544135, 0.026652127294696067,
-    0.026268665662925468,
-  0.025885203065330677, 0.025501739516011413, 0.025118275029065638,
-    0.024734809618593138,
-  0.024351343298691951, 0.023967876083461924, 0.023584407987001611,
-    0.023200939023409587,
-  0.022817469206785804, 0.022433998551228459, 0.022050527070837558,
-    0.021667054779711814,
-  0.021283581691949955, 0.020900107821652084, 0.020516633182916549,
-    0.020133157789843505,
-  0.019749681656531803, 0.019366204797080316, 0.018982727225589285,
-    0.018599248956157190,
-  0.018215770002884327, 0.017832290379869671, 0.017448810101212228,
-    0.017065329181012358,
-  0.016681847633368677, 0.016298365472381587, 0.015914882712149747,
-    0.015531399366773606,
-  0.015147915450352307, 0.014764430976985016, 0.014380945960772247,
-    0.013997460415812761,
-  0.013613974356207112, 0.013230487796054543, 0.012847000749454314,
-    0.012463513230507034,
-  0.012080025253311559, 0.011696536831968529, 0.011313047980577277,
-    0.010929558713237145,
-  0.010546069044048827, 0.010162578987111254, 0.009779088556525145,
-    0.009395597766389905,
-  0.009012106630804949, 0.008628615163871038, 0.008245123379687167,
-    0.007861631292354124,
-  0.007478138915970929, 0.007094646264638386, 0.006711153352455981,
-    0.006327660193523208,
-  0.005944166801940901, 0.005560673191808128, 0.005177179377225743,
-    0.004793685372293270,
-  0.004410191191110246, 0.004026696847777542, 0.003643202356394263,
-    0.003259707731061291,
-  0.002876212985878184, 0.002492718134944503, 0.002109223192361147,
-    0.001725728172227238,
-  0.001342233088643682, 0.000958737955710053, 0.000575242787525925,
-    0.000191747598192208,
-
-};
-
-/**    
- * @brief  Initialization function for the floating-point DCT4/IDCT4.   
- * @param[in,out] *S         points to an instance of floating-point DCT4/IDCT4 structure.   
- * @param[in]     *S_RFFT    points to an instance of floating-point RFFT/RIFFT structure.   
- * @param[in]     *S_CFFT    points to an instance of floating-point CFFT/CIFFT structure.   
- * @param[in]     N			 length of the DCT4.   
- * @param[in]     Nby2       half of the length of the DCT4.   
- * @param[in]     normalize  normalizing factor.   
- * @return        arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLenReal is not a supported transform length.   
- * \par Normalizing factor:    
- * The normalizing factor is sqrt(2/N), which depends on the size of transform N.    
- * Floating-point normalizing factors are mentioned in the table below for different DCT sizes:    
- * \image html dct4NormalizingF32Table.gif    
- */
-
-arm_status arm_dct4_init_f32(
-  arm_dct4_instance_f32 * S,
-  arm_rfft_instance_f32 * S_RFFT,
-  arm_cfft_radix4_instance_f32 * S_CFFT,
-  uint16_t N,
-  uint16_t Nby2,
-  float32_t normalize)
-{
-  /*  Initialize the default arm status */
-  arm_status status = ARM_MATH_SUCCESS;
-
-  /* Initializing the pointer array with the weight table base addresses of different lengths */
-  float32_t *twiddlePtr[4] =
-    { (float32_t *) Weights_128, (float32_t *) Weights_512,
-    (float32_t *) Weights_2048, (float32_t *) Weights_8192
-  };
-
-  /* Initializing the pointer array with the cos factor table base addresses of different lengths */
-  float32_t *pCosFactor[4] =
-    { (float32_t *) cos_factors_128, (float32_t *) cos_factors_512,
-    (float32_t *) cos_factors_2048, (float32_t *) cos_factors_8192
-  };
-
-  /* Initialize the DCT4 length */
-  S->N = N;
-
-  /* Initialize the half of DCT4 length */
-  S->Nby2 = Nby2;
-
-  /* Initialize the DCT4 Normalizing factor */
-  S->normalize = normalize;
-
-  /* Initialize Real FFT Instance */
-  S->pRfft = S_RFFT;
-
-  /* Initialize Complex FFT Instance */
-  S->pCfft = S_CFFT;
-
-  switch (N)
-  {
-    /* Initialize the table modifier values */
-  case 8192u:
-    S->pTwiddle = twiddlePtr[3];
-    S->pCosFactor = pCosFactor[3];
-    break;
-  case 2048u:
-    S->pTwiddle = twiddlePtr[2];
-    S->pCosFactor = pCosFactor[2];
-    break;
-  case 512u:
-    S->pTwiddle = twiddlePtr[1];
-    S->pCosFactor = pCosFactor[1];
-    break;
-  case 128u:
-    S->pTwiddle = twiddlePtr[0];
-    S->pCosFactor = pCosFactor[0];
-    break;
-  default:
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-
-  /* Initialize the RFFT/RIFFT */
-  arm_rfft_init_f32(S->pRfft, S->pCfft, S->N, 0u, 1u);
-
-  /* return the status of DCT4 Init function */
-  return (status);
-}
-
-/**    
-   * @} end of DCT4_IDCT4 group    
-   */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_dct4_init_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_dct4_init_q15.c
deleted file mode 100644
index c6452fe98..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_dct4_init_q15.c
+++ /dev/null
@@ -1,4276 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_dct4_init_q15.c    
-*    
-* Description:	Initialization function of DCT-4 & IDCT4 Q15    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupTransforms    
- */
-
-/**    
- * @addtogroup DCT4_IDCT4    
- * @{    
- */
-
-/*    
-* @brief  Weights Table    
-*/
-
-/**    
-* \par    
-* Weights tables are generated using the formula : 
weights[n] = e^(-j*n*pi/(2*N))
    
-* \par    
-* C command to generate the table    
-* 
    
-* for(i = 0; i< N; i++)    
-* {    
-*   weights[2*i]= cos(i*c);    
-*   weights[(2*i)+1]= -sin(i * c);    
-* } 
    
-* \par    
-* where N is the Number of weights to be calculated and c is pi/(2*N)    
-* \par    
-* Converted the output to q15 format by multiplying with 2^31 and saturated if required.    
-* \par    
-* In the tables below the real and imaginary values are placed alternatively, hence the    
-* array length is 2*N.    
-*/
-
-static const q15_t ALIGN4 WeightsQ15_128[256] = {
-  0x7fff, 0x0, 0x7ffd, 0xfe6e, 0x7ff6, 0xfcdc, 0x7fe9, 0xfb4a,
-  0x7fd8, 0xf9b9, 0x7fc2, 0xf827, 0x7fa7, 0xf696, 0x7f87, 0xf505,
-  0x7f62, 0xf375, 0x7f38, 0xf1e5, 0x7f09, 0xf055, 0x7ed5, 0xeec7,
-  0x7e9d, 0xed38, 0x7e5f, 0xebab, 0x7e1d, 0xea1e, 0x7dd6, 0xe893,
-  0x7d8a, 0xe708, 0x7d39, 0xe57e, 0x7ce3, 0xe3f5, 0x7c89, 0xe26d,
-  0x7c29, 0xe0e7, 0x7bc5, 0xdf61, 0x7b5d, 0xdddd, 0x7aef, 0xdc5a,
-  0x7a7d, 0xdad8, 0x7a05, 0xd958, 0x798a, 0xd7da, 0x7909, 0xd65d,
-  0x7884, 0xd4e1, 0x77fa, 0xd368, 0x776c, 0xd1ef, 0x76d9, 0xd079,
-  0x7641, 0xcf05, 0x75a5, 0xcd92, 0x7504, 0xcc22, 0x745f, 0xcab3,
-  0x73b5, 0xc946, 0x7307, 0xc7dc, 0x7255, 0xc674, 0x719e, 0xc50e,
-  0x70e2, 0xc3aa, 0x7023, 0xc248, 0x6f5f, 0xc0e9, 0x6e96, 0xbf8d,
-  0x6dca, 0xbe32, 0x6cf9, 0xbcdb, 0x6c24, 0xbb86, 0x6b4a, 0xba33,
-  0x6a6d, 0xb8e4, 0x698c, 0xb797, 0x68a6, 0xb64c, 0x67bd, 0xb505,
-  0x66cf, 0xb3c1, 0x65dd, 0xb27f, 0x64e8, 0xb141, 0x63ef, 0xb005,
-  0x62f2, 0xaecd, 0x61f1, 0xad97, 0x60ec, 0xac65, 0x5fe3, 0xab36,
-  0x5ed7, 0xaa0b, 0x5dc7, 0xa8e3, 0x5cb4, 0xa7be, 0x5b9d, 0xa69c,
-  0x5a82, 0xa57e, 0x5964, 0xa463, 0x5842, 0xa34c, 0x571d, 0xa239,
-  0x55f5, 0xa129, 0x54ca, 0xa01d, 0x539b, 0x9f14, 0x5269, 0x9e0f,
-  0x5133, 0x9d0e, 0x4ffb, 0x9c11, 0x4ebf, 0x9b18, 0x4d81, 0x9a23,
-  0x4c3f, 0x9931, 0x4afb, 0x9843, 0x49b4, 0x975a, 0x4869, 0x9674,
-  0x471c, 0x9593, 0x45cd, 0x94b6, 0x447a, 0x93dc, 0x4325, 0x9307,
-  0x41ce, 0x9236, 0x4073, 0x916a, 0x3f17, 0x90a1, 0x3db8, 0x8fdd,
-  0x3c56, 0x8f1e, 0x3af2, 0x8e62, 0x398c, 0x8dab, 0x3824, 0x8cf9,
-  0x36ba, 0x8c4b, 0x354d, 0x8ba1, 0x33de, 0x8afc, 0x326e, 0x8a5b,
-  0x30fb, 0x89bf, 0x2f87, 0x8927, 0x2e11, 0x8894, 0x2c98, 0x8806,
-  0x2b1f, 0x877c, 0x29a3, 0x86f7, 0x2826, 0x8676, 0x26a8, 0x85fb,
-  0x2528, 0x8583, 0x23a6, 0x8511, 0x2223, 0x84a3, 0x209f, 0x843b,
-  0x1f19, 0x83d7, 0x1d93, 0x8377, 0x1c0b, 0x831d, 0x1a82, 0x82c7,
-  0x18f8, 0x8276, 0x176d, 0x822a, 0x15e2, 0x81e3, 0x1455, 0x81a1,
-  0x12c8, 0x8163, 0x1139, 0x812b, 0xfab, 0x80f7, 0xe1b, 0x80c8,
-  0xc8b, 0x809e, 0xafb, 0x8079, 0x96a, 0x8059, 0x7d9, 0x803e,
-  0x647, 0x8028, 0x4b6, 0x8017, 0x324, 0x800a, 0x192, 0x8003,
-};
-
-static const q15_t ALIGN4 WeightsQ15_512[1024] = {
-  0x7fff, 0x0, 0x7fff, 0xff9c, 0x7fff, 0xff37, 0x7ffe, 0xfed3,
-  0x7ffd, 0xfe6e, 0x7ffc, 0xfe0a, 0x7ffa, 0xfda5, 0x7ff8, 0xfd41,
-  0x7ff6, 0xfcdc, 0x7ff3, 0xfc78, 0x7ff0, 0xfc13, 0x7fed, 0xfbaf,
-  0x7fe9, 0xfb4a, 0x7fe5, 0xfae6, 0x7fe1, 0xfa81, 0x7fdd, 0xfa1d,
-  0x7fd8, 0xf9b9, 0x7fd3, 0xf954, 0x7fce, 0xf8f0, 0x7fc8, 0xf88b,
-  0x7fc2, 0xf827, 0x7fbc, 0xf7c3, 0x7fb5, 0xf75e, 0x7fae, 0xf6fa,
-  0x7fa7, 0xf696, 0x7f9f, 0xf632, 0x7f97, 0xf5cd, 0x7f8f, 0xf569,
-  0x7f87, 0xf505, 0x7f7e, 0xf4a1, 0x7f75, 0xf43d, 0x7f6b, 0xf3d9,
-  0x7f62, 0xf375, 0x7f58, 0xf311, 0x7f4d, 0xf2ad, 0x7f43, 0xf249,
-  0x7f38, 0xf1e5, 0x7f2d, 0xf181, 0x7f21, 0xf11d, 0x7f15, 0xf0b9,
-  0x7f09, 0xf055, 0x7efd, 0xeff2, 0x7ef0, 0xef8e, 0x7ee3, 0xef2a,
-  0x7ed5, 0xeec7, 0x7ec8, 0xee63, 0x7eba, 0xedff, 0x7eab, 0xed9c,
-  0x7e9d, 0xed38, 0x7e8e, 0xecd5, 0x7e7f, 0xec72, 0x7e6f, 0xec0e,
-  0x7e5f, 0xebab, 0x7e4f, 0xeb48, 0x7e3f, 0xeae5, 0x7e2e, 0xea81,
-  0x7e1d, 0xea1e, 0x7e0c, 0xe9bb, 0x7dfa, 0xe958, 0x7de8, 0xe8f6,
-  0x7dd6, 0xe893, 0x7dc3, 0xe830, 0x7db0, 0xe7cd, 0x7d9d, 0xe76a,
-  0x7d8a, 0xe708, 0x7d76, 0xe6a5, 0x7d62, 0xe643, 0x7d4e, 0xe5e0,
-  0x7d39, 0xe57e, 0x7d24, 0xe51c, 0x7d0f, 0xe4b9, 0x7cf9, 0xe457,
-  0x7ce3, 0xe3f5, 0x7ccd, 0xe393, 0x7cb7, 0xe331, 0x7ca0, 0xe2cf,
-  0x7c89, 0xe26d, 0x7c71, 0xe20b, 0x7c5a, 0xe1aa, 0x7c42, 0xe148,
-  0x7c29, 0xe0e7, 0x7c11, 0xe085, 0x7bf8, 0xe024, 0x7bdf, 0xdfc2,
-  0x7bc5, 0xdf61, 0x7bac, 0xdf00, 0x7b92, 0xde9f, 0x7b77, 0xde3e,
-  0x7b5d, 0xdddd, 0x7b42, 0xdd7c, 0x7b26, 0xdd1b, 0x7b0b, 0xdcbb,
-  0x7aef, 0xdc5a, 0x7ad3, 0xdbf9, 0x7ab6, 0xdb99, 0x7a9a, 0xdb39,
-  0x7a7d, 0xdad8, 0x7a5f, 0xda78, 0x7a42, 0xda18, 0x7a24, 0xd9b8,
-  0x7a05, 0xd958, 0x79e7, 0xd8f9, 0x79c8, 0xd899, 0x79a9, 0xd839,
-  0x798a, 0xd7da, 0x796a, 0xd77a, 0x794a, 0xd71b, 0x792a, 0xd6bc,
-  0x7909, 0xd65d, 0x78e8, 0xd5fe, 0x78c7, 0xd59f, 0x78a6, 0xd540,
-  0x7884, 0xd4e1, 0x7862, 0xd483, 0x7840, 0xd424, 0x781d, 0xd3c6,
-  0x77fa, 0xd368, 0x77d7, 0xd309, 0x77b4, 0xd2ab, 0x7790, 0xd24d,
-  0x776c, 0xd1ef, 0x7747, 0xd192, 0x7723, 0xd134, 0x76fe, 0xd0d7,
-  0x76d9, 0xd079, 0x76b3, 0xd01c, 0x768e, 0xcfbf, 0x7668, 0xcf62,
-  0x7641, 0xcf05, 0x761b, 0xcea8, 0x75f4, 0xce4b, 0x75cc, 0xcdef,
-  0x75a5, 0xcd92, 0x757d, 0xcd36, 0x7555, 0xccda, 0x752d, 0xcc7e,
-  0x7504, 0xcc22, 0x74db, 0xcbc6, 0x74b2, 0xcb6a, 0x7489, 0xcb0e,
-  0x745f, 0xcab3, 0x7435, 0xca58, 0x740b, 0xc9fc, 0x73e0, 0xc9a1,
-  0x73b5, 0xc946, 0x738a, 0xc8ec, 0x735f, 0xc891, 0x7333, 0xc836,
-  0x7307, 0xc7dc, 0x72db, 0xc782, 0x72af, 0xc728, 0x7282, 0xc6ce,
-  0x7255, 0xc674, 0x7227, 0xc61a, 0x71fa, 0xc5c0, 0x71cc, 0xc567,
-  0x719e, 0xc50e, 0x716f, 0xc4b4, 0x7141, 0xc45b, 0x7112, 0xc403,
-  0x70e2, 0xc3aa, 0x70b3, 0xc351, 0x7083, 0xc2f9, 0x7053, 0xc2a0,
-  0x7023, 0xc248, 0x6ff2, 0xc1f0, 0x6fc1, 0xc198, 0x6f90, 0xc141,
-  0x6f5f, 0xc0e9, 0x6f2d, 0xc092, 0x6efb, 0xc03b, 0x6ec9, 0xbfe3,
-  0x6e96, 0xbf8d, 0x6e63, 0xbf36, 0x6e30, 0xbedf, 0x6dfd, 0xbe89,
-  0x6dca, 0xbe32, 0x6d96, 0xbddc, 0x6d62, 0xbd86, 0x6d2d, 0xbd30,
-  0x6cf9, 0xbcdb, 0x6cc4, 0xbc85, 0x6c8f, 0xbc30, 0x6c59, 0xbbdb,
-  0x6c24, 0xbb86, 0x6bee, 0xbb31, 0x6bb8, 0xbadc, 0x6b81, 0xba88,
-  0x6b4a, 0xba33, 0x6b13, 0xb9df, 0x6adc, 0xb98b, 0x6aa5, 0xb937,
-  0x6a6d, 0xb8e4, 0x6a35, 0xb890, 0x69fd, 0xb83d, 0x69c4, 0xb7ea,
-  0x698c, 0xb797, 0x6953, 0xb744, 0x6919, 0xb6f1, 0x68e0, 0xb69f,
-  0x68a6, 0xb64c, 0x686c, 0xb5fa, 0x6832, 0xb5a8, 0x67f7, 0xb557,
-  0x67bd, 0xb505, 0x6782, 0xb4b4, 0x6746, 0xb462, 0x670b, 0xb411,
-  0x66cf, 0xb3c1, 0x6693, 0xb370, 0x6657, 0xb31f, 0x661a, 0xb2cf,
-  0x65dd, 0xb27f, 0x65a0, 0xb22f, 0x6563, 0xb1df, 0x6526, 0xb190,
-  0x64e8, 0xb141, 0x64aa, 0xb0f1, 0x646c, 0xb0a2, 0x642d, 0xb054,
-  0x63ef, 0xb005, 0x63b0, 0xafb7, 0x6371, 0xaf69, 0x6331, 0xaf1b,
-  0x62f2, 0xaecd, 0x62b2, 0xae7f, 0x6271, 0xae32, 0x6231, 0xade4,
-  0x61f1, 0xad97, 0x61b0, 0xad4b, 0x616f, 0xacfe, 0x612d, 0xacb2,
-  0x60ec, 0xac65, 0x60aa, 0xac19, 0x6068, 0xabcd, 0x6026, 0xab82,
-  0x5fe3, 0xab36, 0x5fa0, 0xaaeb, 0x5f5e, 0xaaa0, 0x5f1a, 0xaa55,
-  0x5ed7, 0xaa0b, 0x5e93, 0xa9c0, 0x5e50, 0xa976, 0x5e0b, 0xa92c,
-  0x5dc7, 0xa8e3, 0x5d83, 0xa899, 0x5d3e, 0xa850, 0x5cf9, 0xa807,
-  0x5cb4, 0xa7be, 0x5c6e, 0xa775, 0x5c29, 0xa72c, 0x5be3, 0xa6e4,
-  0x5b9d, 0xa69c, 0x5b56, 0xa654, 0x5b10, 0xa60d, 0x5ac9, 0xa5c5,
-  0x5a82, 0xa57e, 0x5a3b, 0xa537, 0x59f3, 0xa4f0, 0x59ac, 0xa4aa,
-  0x5964, 0xa463, 0x591c, 0xa41d, 0x58d4, 0xa3d7, 0x588b, 0xa392,
-  0x5842, 0xa34c, 0x57f9, 0xa307, 0x57b0, 0xa2c2, 0x5767, 0xa27d,
-  0x571d, 0xa239, 0x56d4, 0xa1f5, 0x568a, 0xa1b0, 0x5640, 0xa16d,
-  0x55f5, 0xa129, 0x55ab, 0xa0e6, 0x5560, 0xa0a2, 0x5515, 0xa060,
-  0x54ca, 0xa01d, 0x547e, 0x9fda, 0x5433, 0x9f98, 0x53e7, 0x9f56,
-  0x539b, 0x9f14, 0x534e, 0x9ed3, 0x5302, 0x9e91, 0x52b5, 0x9e50,
-  0x5269, 0x9e0f, 0x521c, 0x9dcf, 0x51ce, 0x9d8f, 0x5181, 0x9d4e,
-  0x5133, 0x9d0e, 0x50e5, 0x9ccf, 0x5097, 0x9c8f, 0x5049, 0x9c50,
-  0x4ffb, 0x9c11, 0x4fac, 0x9bd3, 0x4f5e, 0x9b94, 0x4f0f, 0x9b56,
-  0x4ebf, 0x9b18, 0x4e70, 0x9ada, 0x4e21, 0x9a9d, 0x4dd1, 0x9a60,
-  0x4d81, 0x9a23, 0x4d31, 0x99e6, 0x4ce1, 0x99a9, 0x4c90, 0x996d,
-  0x4c3f, 0x9931, 0x4bef, 0x98f5, 0x4b9e, 0x98ba, 0x4b4c, 0x987e,
-  0x4afb, 0x9843, 0x4aa9, 0x9809, 0x4a58, 0x97ce, 0x4a06, 0x9794,
-  0x49b4, 0x975a, 0x4961, 0x9720, 0x490f, 0x96e7, 0x48bc, 0x96ad,
-  0x4869, 0x9674, 0x4816, 0x963c, 0x47c3, 0x9603, 0x4770, 0x95cb,
-  0x471c, 0x9593, 0x46c9, 0x955b, 0x4675, 0x9524, 0x4621, 0x94ed,
-  0x45cd, 0x94b6, 0x4578, 0x947f, 0x4524, 0x9448, 0x44cf, 0x9412,
-  0x447a, 0x93dc, 0x4425, 0x93a7, 0x43d0, 0x9371, 0x437b, 0x933c,
-  0x4325, 0x9307, 0x42d0, 0x92d3, 0x427a, 0x929e, 0x4224, 0x926a,
-  0x41ce, 0x9236, 0x4177, 0x9203, 0x4121, 0x91d0, 0x40ca, 0x919d,
-  0x4073, 0x916a, 0x401d, 0x9137, 0x3fc5, 0x9105, 0x3f6e, 0x90d3,
-  0x3f17, 0x90a1, 0x3ebf, 0x9070, 0x3e68, 0x903f, 0x3e10, 0x900e,
-  0x3db8, 0x8fdd, 0x3d60, 0x8fad, 0x3d07, 0x8f7d, 0x3caf, 0x8f4d,
-  0x3c56, 0x8f1e, 0x3bfd, 0x8eee, 0x3ba5, 0x8ebf, 0x3b4c, 0x8e91,
-  0x3af2, 0x8e62, 0x3a99, 0x8e34, 0x3a40, 0x8e06, 0x39e6, 0x8dd9,
-  0x398c, 0x8dab, 0x3932, 0x8d7e, 0x38d8, 0x8d51, 0x387e, 0x8d25,
-  0x3824, 0x8cf9, 0x37ca, 0x8ccd, 0x376f, 0x8ca1, 0x3714, 0x8c76,
-  0x36ba, 0x8c4b, 0x365f, 0x8c20, 0x3604, 0x8bf5, 0x35a8, 0x8bcb,
-  0x354d, 0x8ba1, 0x34f2, 0x8b77, 0x3496, 0x8b4e, 0x343a, 0x8b25,
-  0x33de, 0x8afc, 0x3382, 0x8ad3, 0x3326, 0x8aab, 0x32ca, 0x8a83,
-  0x326e, 0x8a5b, 0x3211, 0x8a34, 0x31b5, 0x8a0c, 0x3158, 0x89e5,
-  0x30fb, 0x89bf, 0x309e, 0x8998, 0x3041, 0x8972, 0x2fe4, 0x894d,
-  0x2f87, 0x8927, 0x2f29, 0x8902, 0x2ecc, 0x88dd, 0x2e6e, 0x88b9,
-  0x2e11, 0x8894, 0x2db3, 0x8870, 0x2d55, 0x884c, 0x2cf7, 0x8829,
-  0x2c98, 0x8806, 0x2c3a, 0x87e3, 0x2bdc, 0x87c0, 0x2b7d, 0x879e,
-  0x2b1f, 0x877c, 0x2ac0, 0x875a, 0x2a61, 0x8739, 0x2a02, 0x8718,
-  0x29a3, 0x86f7, 0x2944, 0x86d6, 0x28e5, 0x86b6, 0x2886, 0x8696,
-  0x2826, 0x8676, 0x27c7, 0x8657, 0x2767, 0x8638, 0x2707, 0x8619,
-  0x26a8, 0x85fb, 0x2648, 0x85dc, 0x25e8, 0x85be, 0x2588, 0x85a1,
-  0x2528, 0x8583, 0x24c7, 0x8566, 0x2467, 0x854a, 0x2407, 0x852d,
-  0x23a6, 0x8511, 0x2345, 0x84f5, 0x22e5, 0x84da, 0x2284, 0x84be,
-  0x2223, 0x84a3, 0x21c2, 0x8489, 0x2161, 0x846e, 0x2100, 0x8454,
-  0x209f, 0x843b, 0x203e, 0x8421, 0x1fdc, 0x8408, 0x1f7b, 0x83ef,
-  0x1f19, 0x83d7, 0x1eb8, 0x83be, 0x1e56, 0x83a6, 0x1df5, 0x838f,
-  0x1d93, 0x8377, 0x1d31, 0x8360, 0x1ccf, 0x8349, 0x1c6d, 0x8333,
-  0x1c0b, 0x831d, 0x1ba9, 0x8307, 0x1b47, 0x82f1, 0x1ae4, 0x82dc,
-  0x1a82, 0x82c7, 0x1a20, 0x82b2, 0x19bd, 0x829e, 0x195b, 0x828a,
-  0x18f8, 0x8276, 0x1896, 0x8263, 0x1833, 0x8250, 0x17d0, 0x823d,
-  0x176d, 0x822a, 0x170a, 0x8218, 0x16a8, 0x8206, 0x1645, 0x81f4,
-  0x15e2, 0x81e3, 0x157f, 0x81d2, 0x151b, 0x81c1, 0x14b8, 0x81b1,
-  0x1455, 0x81a1, 0x13f2, 0x8191, 0x138e, 0x8181, 0x132b, 0x8172,
-  0x12c8, 0x8163, 0x1264, 0x8155, 0x1201, 0x8146, 0x119d, 0x8138,
-  0x1139, 0x812b, 0x10d6, 0x811d, 0x1072, 0x8110, 0x100e, 0x8103,
-  0xfab, 0x80f7, 0xf47, 0x80eb, 0xee3, 0x80df, 0xe7f, 0x80d3,
-  0xe1b, 0x80c8, 0xdb7, 0x80bd, 0xd53, 0x80b3, 0xcef, 0x80a8,
-  0xc8b, 0x809e, 0xc27, 0x8095, 0xbc3, 0x808b, 0xb5f, 0x8082,
-  0xafb, 0x8079, 0xa97, 0x8071, 0xa33, 0x8069, 0x9ce, 0x8061,
-  0x96a, 0x8059, 0x906, 0x8052, 0x8a2, 0x804b, 0x83d, 0x8044,
-  0x7d9, 0x803e, 0x775, 0x8038, 0x710, 0x8032, 0x6ac, 0x802d,
-  0x647, 0x8028, 0x5e3, 0x8023, 0x57f, 0x801f, 0x51a, 0x801b,
-  0x4b6, 0x8017, 0x451, 0x8013, 0x3ed, 0x8010, 0x388, 0x800d,
-  0x324, 0x800a, 0x2bf, 0x8008, 0x25b, 0x8006, 0x1f6, 0x8004,
-  0x192, 0x8003, 0x12d, 0x8002, 0xc9, 0x8001, 0x64, 0x8001,
-};
-
-static const q15_t ALIGN4 WeightsQ15_2048[4096] = {
-  0x7fff, 0x0, 0x7fff, 0xffe7, 0x7fff, 0xffce, 0x7fff, 0xffb5,
-  0x7fff, 0xff9c, 0x7fff, 0xff83, 0x7fff, 0xff6a, 0x7fff, 0xff51,
-  0x7fff, 0xff37, 0x7fff, 0xff1e, 0x7fff, 0xff05, 0x7ffe, 0xfeec,
-  0x7ffe, 0xfed3, 0x7ffe, 0xfeba, 0x7ffe, 0xfea1, 0x7ffd, 0xfe88,
-  0x7ffd, 0xfe6e, 0x7ffd, 0xfe55, 0x7ffc, 0xfe3c, 0x7ffc, 0xfe23,
-  0x7ffc, 0xfe0a, 0x7ffb, 0xfdf1, 0x7ffb, 0xfdd8, 0x7ffa, 0xfdbe,
-  0x7ffa, 0xfda5, 0x7ff9, 0xfd8c, 0x7ff9, 0xfd73, 0x7ff8, 0xfd5a,
-  0x7ff8, 0xfd41, 0x7ff7, 0xfd28, 0x7ff7, 0xfd0f, 0x7ff6, 0xfcf5,
-  0x7ff6, 0xfcdc, 0x7ff5, 0xfcc3, 0x7ff4, 0xfcaa, 0x7ff4, 0xfc91,
-  0x7ff3, 0xfc78, 0x7ff2, 0xfc5f, 0x7ff2, 0xfc46, 0x7ff1, 0xfc2c,
-  0x7ff0, 0xfc13, 0x7fef, 0xfbfa, 0x7fee, 0xfbe1, 0x7fee, 0xfbc8,
-  0x7fed, 0xfbaf, 0x7fec, 0xfb96, 0x7feb, 0xfb7d, 0x7fea, 0xfb64,
-  0x7fe9, 0xfb4a, 0x7fe8, 0xfb31, 0x7fe7, 0xfb18, 0x7fe6, 0xfaff,
-  0x7fe5, 0xfae6, 0x7fe4, 0xfacd, 0x7fe3, 0xfab4, 0x7fe2, 0xfa9b,
-  0x7fe1, 0xfa81, 0x7fe0, 0xfa68, 0x7fdf, 0xfa4f, 0x7fde, 0xfa36,
-  0x7fdd, 0xfa1d, 0x7fdc, 0xfa04, 0x7fda, 0xf9eb, 0x7fd9, 0xf9d2,
-  0x7fd8, 0xf9b9, 0x7fd7, 0xf9a0, 0x7fd6, 0xf986, 0x7fd4, 0xf96d,
-  0x7fd3, 0xf954, 0x7fd2, 0xf93b, 0x7fd0, 0xf922, 0x7fcf, 0xf909,
-  0x7fce, 0xf8f0, 0x7fcc, 0xf8d7, 0x7fcb, 0xf8be, 0x7fc9, 0xf8a5,
-  0x7fc8, 0xf88b, 0x7fc6, 0xf872, 0x7fc5, 0xf859, 0x7fc3, 0xf840,
-  0x7fc2, 0xf827, 0x7fc0, 0xf80e, 0x7fbf, 0xf7f5, 0x7fbd, 0xf7dc,
-  0x7fbc, 0xf7c3, 0x7fba, 0xf7aa, 0x7fb8, 0xf791, 0x7fb7, 0xf778,
-  0x7fb5, 0xf75e, 0x7fb3, 0xf745, 0x7fb1, 0xf72c, 0x7fb0, 0xf713,
-  0x7fae, 0xf6fa, 0x7fac, 0xf6e1, 0x7faa, 0xf6c8, 0x7fa9, 0xf6af,
-  0x7fa7, 0xf696, 0x7fa5, 0xf67d, 0x7fa3, 0xf664, 0x7fa1, 0xf64b,
-  0x7f9f, 0xf632, 0x7f9d, 0xf619, 0x7f9b, 0xf600, 0x7f99, 0xf5e7,
-  0x7f97, 0xf5cd, 0x7f95, 0xf5b4, 0x7f93, 0xf59b, 0x7f91, 0xf582,
-  0x7f8f, 0xf569, 0x7f8d, 0xf550, 0x7f8b, 0xf537, 0x7f89, 0xf51e,
-  0x7f87, 0xf505, 0x7f85, 0xf4ec, 0x7f82, 0xf4d3, 0x7f80, 0xf4ba,
-  0x7f7e, 0xf4a1, 0x7f7c, 0xf488, 0x7f79, 0xf46f, 0x7f77, 0xf456,
-  0x7f75, 0xf43d, 0x7f72, 0xf424, 0x7f70, 0xf40b, 0x7f6e, 0xf3f2,
-  0x7f6b, 0xf3d9, 0x7f69, 0xf3c0, 0x7f67, 0xf3a7, 0x7f64, 0xf38e,
-  0x7f62, 0xf375, 0x7f5f, 0xf35c, 0x7f5d, 0xf343, 0x7f5a, 0xf32a,
-  0x7f58, 0xf311, 0x7f55, 0xf2f8, 0x7f53, 0xf2df, 0x7f50, 0xf2c6,
-  0x7f4d, 0xf2ad, 0x7f4b, 0xf294, 0x7f48, 0xf27b, 0x7f45, 0xf262,
-  0x7f43, 0xf249, 0x7f40, 0xf230, 0x7f3d, 0xf217, 0x7f3b, 0xf1fe,
-  0x7f38, 0xf1e5, 0x7f35, 0xf1cc, 0x7f32, 0xf1b3, 0x7f2f, 0xf19a,
-  0x7f2d, 0xf181, 0x7f2a, 0xf168, 0x7f27, 0xf14f, 0x7f24, 0xf136,
-  0x7f21, 0xf11d, 0x7f1e, 0xf104, 0x7f1b, 0xf0eb, 0x7f18, 0xf0d2,
-  0x7f15, 0xf0b9, 0x7f12, 0xf0a0, 0x7f0f, 0xf087, 0x7f0c, 0xf06e,
-  0x7f09, 0xf055, 0x7f06, 0xf03c, 0x7f03, 0xf023, 0x7f00, 0xf00b,
-  0x7efd, 0xeff2, 0x7ef9, 0xefd9, 0x7ef6, 0xefc0, 0x7ef3, 0xefa7,
-  0x7ef0, 0xef8e, 0x7eed, 0xef75, 0x7ee9, 0xef5c, 0x7ee6, 0xef43,
-  0x7ee3, 0xef2a, 0x7edf, 0xef11, 0x7edc, 0xeef8, 0x7ed9, 0xeedf,
-  0x7ed5, 0xeec7, 0x7ed2, 0xeeae, 0x7ecf, 0xee95, 0x7ecb, 0xee7c,
-  0x7ec8, 0xee63, 0x7ec4, 0xee4a, 0x7ec1, 0xee31, 0x7ebd, 0xee18,
-  0x7eba, 0xedff, 0x7eb6, 0xede7, 0x7eb3, 0xedce, 0x7eaf, 0xedb5,
-  0x7eab, 0xed9c, 0x7ea8, 0xed83, 0x7ea4, 0xed6a, 0x7ea1, 0xed51,
-  0x7e9d, 0xed38, 0x7e99, 0xed20, 0x7e95, 0xed07, 0x7e92, 0xecee,
-  0x7e8e, 0xecd5, 0x7e8a, 0xecbc, 0x7e86, 0xeca3, 0x7e83, 0xec8a,
-  0x7e7f, 0xec72, 0x7e7b, 0xec59, 0x7e77, 0xec40, 0x7e73, 0xec27,
-  0x7e6f, 0xec0e, 0x7e6b, 0xebf5, 0x7e67, 0xebdd, 0x7e63, 0xebc4,
-  0x7e5f, 0xebab, 0x7e5b, 0xeb92, 0x7e57, 0xeb79, 0x7e53, 0xeb61,
-  0x7e4f, 0xeb48, 0x7e4b, 0xeb2f, 0x7e47, 0xeb16, 0x7e43, 0xeafd,
-  0x7e3f, 0xeae5, 0x7e3b, 0xeacc, 0x7e37, 0xeab3, 0x7e32, 0xea9a,
-  0x7e2e, 0xea81, 0x7e2a, 0xea69, 0x7e26, 0xea50, 0x7e21, 0xea37,
-  0x7e1d, 0xea1e, 0x7e19, 0xea06, 0x7e14, 0xe9ed, 0x7e10, 0xe9d4,
-  0x7e0c, 0xe9bb, 0x7e07, 0xe9a3, 0x7e03, 0xe98a, 0x7dff, 0xe971,
-  0x7dfa, 0xe958, 0x7df6, 0xe940, 0x7df1, 0xe927, 0x7ded, 0xe90e,
-  0x7de8, 0xe8f6, 0x7de4, 0xe8dd, 0x7ddf, 0xe8c4, 0x7dda, 0xe8ab,
-  0x7dd6, 0xe893, 0x7dd1, 0xe87a, 0x7dcd, 0xe861, 0x7dc8, 0xe849,
-  0x7dc3, 0xe830, 0x7dbf, 0xe817, 0x7dba, 0xe7fe, 0x7db5, 0xe7e6,
-  0x7db0, 0xe7cd, 0x7dac, 0xe7b4, 0x7da7, 0xe79c, 0x7da2, 0xe783,
-  0x7d9d, 0xe76a, 0x7d98, 0xe752, 0x7d94, 0xe739, 0x7d8f, 0xe720,
-  0x7d8a, 0xe708, 0x7d85, 0xe6ef, 0x7d80, 0xe6d6, 0x7d7b, 0xe6be,
-  0x7d76, 0xe6a5, 0x7d71, 0xe68d, 0x7d6c, 0xe674, 0x7d67, 0xe65b,
-  0x7d62, 0xe643, 0x7d5d, 0xe62a, 0x7d58, 0xe611, 0x7d53, 0xe5f9,
-  0x7d4e, 0xe5e0, 0x7d49, 0xe5c8, 0x7d43, 0xe5af, 0x7d3e, 0xe596,
-  0x7d39, 0xe57e, 0x7d34, 0xe565, 0x7d2f, 0xe54d, 0x7d29, 0xe534,
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-  0x2944, 0x86d6, 0x292c, 0x86ce, 0x2915, 0x86c6, 0x28fd, 0x86be,
-  0x28e5, 0x86b6, 0x28cd, 0x86ae, 0x28b5, 0x86a6, 0x289d, 0x869e,
-  0x2886, 0x8696, 0x286e, 0x868e, 0x2856, 0x8686, 0x283e, 0x867e,
-  0x2826, 0x8676, 0x280e, 0x866e, 0x27f6, 0x8667, 0x27df, 0x865f,
-  0x27c7, 0x8657, 0x27af, 0x864f, 0x2797, 0x8647, 0x277f, 0x8640,
-  0x2767, 0x8638, 0x274f, 0x8630, 0x2737, 0x8628, 0x271f, 0x8621,
-  0x2707, 0x8619, 0x26ef, 0x8611, 0x26d8, 0x860a, 0x26c0, 0x8602,
-  0x26a8, 0x85fb, 0x2690, 0x85f3, 0x2678, 0x85eb, 0x2660, 0x85e4,
-  0x2648, 0x85dc, 0x2630, 0x85d5, 0x2618, 0x85cd, 0x2600, 0x85c6,
-  0x25e8, 0x85be, 0x25d0, 0x85b7, 0x25b8, 0x85b0, 0x25a0, 0x85a8,
-  0x2588, 0x85a1, 0x2570, 0x8599, 0x2558, 0x8592, 0x2540, 0x858b,
-  0x2528, 0x8583, 0x250f, 0x857c, 0x24f7, 0x8575, 0x24df, 0x856e,
-  0x24c7, 0x8566, 0x24af, 0x855f, 0x2497, 0x8558, 0x247f, 0x8551,
-  0x2467, 0x854a, 0x244f, 0x8543, 0x2437, 0x853b, 0x241f, 0x8534,
-  0x2407, 0x852d, 0x23ee, 0x8526, 0x23d6, 0x851f, 0x23be, 0x8518,
-  0x23a6, 0x8511, 0x238e, 0x850a, 0x2376, 0x8503, 0x235e, 0x84fc,
-  0x2345, 0x84f5, 0x232d, 0x84ee, 0x2315, 0x84e7, 0x22fd, 0x84e1,
-  0x22e5, 0x84da, 0x22cd, 0x84d3, 0x22b4, 0x84cc, 0x229c, 0x84c5,
-  0x2284, 0x84be, 0x226c, 0x84b8, 0x2254, 0x84b1, 0x223b, 0x84aa,
-  0x2223, 0x84a3, 0x220b, 0x849d, 0x21f3, 0x8496, 0x21da, 0x848f,
-  0x21c2, 0x8489, 0x21aa, 0x8482, 0x2192, 0x847c, 0x2179, 0x8475,
-  0x2161, 0x846e, 0x2149, 0x8468, 0x2131, 0x8461, 0x2118, 0x845b,
-  0x2100, 0x8454, 0x20e8, 0x844e, 0x20d0, 0x8447, 0x20b7, 0x8441,
-  0x209f, 0x843b, 0x2087, 0x8434, 0x206e, 0x842e, 0x2056, 0x8427,
-  0x203e, 0x8421, 0x2025, 0x841b, 0x200d, 0x8415, 0x1ff5, 0x840e,
-  0x1fdc, 0x8408, 0x1fc4, 0x8402, 0x1fac, 0x83fb, 0x1f93, 0x83f5,
-  0x1f7b, 0x83ef, 0x1f63, 0x83e9, 0x1f4a, 0x83e3, 0x1f32, 0x83dd,
-  0x1f19, 0x83d7, 0x1f01, 0x83d0, 0x1ee9, 0x83ca, 0x1ed0, 0x83c4,
-  0x1eb8, 0x83be, 0x1ea0, 0x83b8, 0x1e87, 0x83b2, 0x1e6f, 0x83ac,
-  0x1e56, 0x83a6, 0x1e3e, 0x83a0, 0x1e25, 0x839a, 0x1e0d, 0x8394,
-  0x1df5, 0x838f, 0x1ddc, 0x8389, 0x1dc4, 0x8383, 0x1dab, 0x837d,
-  0x1d93, 0x8377, 0x1d7a, 0x8371, 0x1d62, 0x836c, 0x1d49, 0x8366,
-  0x1d31, 0x8360, 0x1d18, 0x835a, 0x1d00, 0x8355, 0x1ce8, 0x834f,
-  0x1ccf, 0x8349, 0x1cb7, 0x8344, 0x1c9e, 0x833e, 0x1c86, 0x8338,
-  0x1c6d, 0x8333, 0x1c55, 0x832d, 0x1c3c, 0x8328, 0x1c24, 0x8322,
-  0x1c0b, 0x831d, 0x1bf2, 0x8317, 0x1bda, 0x8312, 0x1bc1, 0x830c,
-  0x1ba9, 0x8307, 0x1b90, 0x8301, 0x1b78, 0x82fc, 0x1b5f, 0x82f7,
-  0x1b47, 0x82f1, 0x1b2e, 0x82ec, 0x1b16, 0x82e7, 0x1afd, 0x82e1,
-  0x1ae4, 0x82dc, 0x1acc, 0x82d7, 0x1ab3, 0x82d1, 0x1a9b, 0x82cc,
-  0x1a82, 0x82c7, 0x1a6a, 0x82c2, 0x1a51, 0x82bd, 0x1a38, 0x82b7,
-  0x1a20, 0x82b2, 0x1a07, 0x82ad, 0x19ef, 0x82a8, 0x19d6, 0x82a3,
-  0x19bd, 0x829e, 0x19a5, 0x8299, 0x198c, 0x8294, 0x1973, 0x828f,
-  0x195b, 0x828a, 0x1942, 0x8285, 0x192a, 0x8280, 0x1911, 0x827b,
-  0x18f8, 0x8276, 0x18e0, 0x8271, 0x18c7, 0x826c, 0x18ae, 0x8268,
-  0x1896, 0x8263, 0x187d, 0x825e, 0x1864, 0x8259, 0x184c, 0x8254,
-  0x1833, 0x8250, 0x181a, 0x824b, 0x1802, 0x8246, 0x17e9, 0x8241,
-  0x17d0, 0x823d, 0x17b7, 0x8238, 0x179f, 0x8233, 0x1786, 0x822f,
-  0x176d, 0x822a, 0x1755, 0x8226, 0x173c, 0x8221, 0x1723, 0x821c,
-  0x170a, 0x8218, 0x16f2, 0x8213, 0x16d9, 0x820f, 0x16c0, 0x820a,
-  0x16a8, 0x8206, 0x168f, 0x8201, 0x1676, 0x81fd, 0x165d, 0x81f9,
-  0x1645, 0x81f4, 0x162c, 0x81f0, 0x1613, 0x81ec, 0x15fa, 0x81e7,
-  0x15e2, 0x81e3, 0x15c9, 0x81df, 0x15b0, 0x81da, 0x1597, 0x81d6,
-  0x157f, 0x81d2, 0x1566, 0x81ce, 0x154d, 0x81c9, 0x1534, 0x81c5,
-  0x151b, 0x81c1, 0x1503, 0x81bd, 0x14ea, 0x81b9, 0x14d1, 0x81b5,
-  0x14b8, 0x81b1, 0x149f, 0x81ad, 0x1487, 0x81a9, 0x146e, 0x81a5,
-  0x1455, 0x81a1, 0x143c, 0x819d, 0x1423, 0x8199, 0x140b, 0x8195,
-  0x13f2, 0x8191, 0x13d9, 0x818d, 0x13c0, 0x8189, 0x13a7, 0x8185,
-  0x138e, 0x8181, 0x1376, 0x817d, 0x135d, 0x817a, 0x1344, 0x8176,
-  0x132b, 0x8172, 0x1312, 0x816e, 0x12f9, 0x816b, 0x12e0, 0x8167,
-  0x12c8, 0x8163, 0x12af, 0x815f, 0x1296, 0x815c, 0x127d, 0x8158,
-  0x1264, 0x8155, 0x124b, 0x8151, 0x1232, 0x814d, 0x1219, 0x814a,
-  0x1201, 0x8146, 0x11e8, 0x8143, 0x11cf, 0x813f, 0x11b6, 0x813c,
-  0x119d, 0x8138, 0x1184, 0x8135, 0x116b, 0x8131, 0x1152, 0x812e,
-  0x1139, 0x812b, 0x1121, 0x8127, 0x1108, 0x8124, 0x10ef, 0x8121,
-  0x10d6, 0x811d, 0x10bd, 0x811a, 0x10a4, 0x8117, 0x108b, 0x8113,
-  0x1072, 0x8110, 0x1059, 0x810d, 0x1040, 0x810a, 0x1027, 0x8107,
-  0x100e, 0x8103, 0xff5, 0x8100, 0xfdd, 0x80fd, 0xfc4, 0x80fa,
-  0xfab, 0x80f7, 0xf92, 0x80f4, 0xf79, 0x80f1, 0xf60, 0x80ee,
-  0xf47, 0x80eb, 0xf2e, 0x80e8, 0xf15, 0x80e5, 0xefc, 0x80e2,
-  0xee3, 0x80df, 0xeca, 0x80dc, 0xeb1, 0x80d9, 0xe98, 0x80d6,
-  0xe7f, 0x80d3, 0xe66, 0x80d1, 0xe4d, 0x80ce, 0xe34, 0x80cb,
-  0xe1b, 0x80c8, 0xe02, 0x80c5, 0xde9, 0x80c3, 0xdd0, 0x80c0,
-  0xdb7, 0x80bd, 0xd9e, 0x80bb, 0xd85, 0x80b8, 0xd6c, 0x80b5,
-  0xd53, 0x80b3, 0xd3a, 0x80b0, 0xd21, 0x80ad, 0xd08, 0x80ab,
-  0xcef, 0x80a8, 0xcd6, 0x80a6, 0xcbd, 0x80a3, 0xca4, 0x80a1,
-  0xc8b, 0x809e, 0xc72, 0x809c, 0xc59, 0x8099, 0xc40, 0x8097,
-  0xc27, 0x8095, 0xc0e, 0x8092, 0xbf5, 0x8090, 0xbdc, 0x808e,
-  0xbc3, 0x808b, 0xbaa, 0x8089, 0xb91, 0x8087, 0xb78, 0x8084,
-  0xb5f, 0x8082, 0xb46, 0x8080, 0xb2d, 0x807e, 0xb14, 0x807b,
-  0xafb, 0x8079, 0xae2, 0x8077, 0xac9, 0x8075, 0xab0, 0x8073,
-  0xa97, 0x8071, 0xa7e, 0x806f, 0xa65, 0x806d, 0xa4c, 0x806b,
-  0xa33, 0x8069, 0xa19, 0x8067, 0xa00, 0x8065, 0x9e7, 0x8063,
-  0x9ce, 0x8061, 0x9b5, 0x805f, 0x99c, 0x805d, 0x983, 0x805b,
-  0x96a, 0x8059, 0x951, 0x8057, 0x938, 0x8056, 0x91f, 0x8054,
-  0x906, 0x8052, 0x8ed, 0x8050, 0x8d4, 0x804f, 0x8bb, 0x804d,
-  0x8a2, 0x804b, 0x888, 0x8049, 0x86f, 0x8048, 0x856, 0x8046,
-  0x83d, 0x8044, 0x824, 0x8043, 0x80b, 0x8041, 0x7f2, 0x8040,
-  0x7d9, 0x803e, 0x7c0, 0x803d, 0x7a7, 0x803b, 0x78e, 0x803a,
-  0x775, 0x8038, 0x75b, 0x8037, 0x742, 0x8035, 0x729, 0x8034,
-  0x710, 0x8032, 0x6f7, 0x8031, 0x6de, 0x8030, 0x6c5, 0x802e,
-  0x6ac, 0x802d, 0x693, 0x802c, 0x67a, 0x802a, 0x660, 0x8029,
-  0x647, 0x8028, 0x62e, 0x8027, 0x615, 0x8026, 0x5fc, 0x8024,
-  0x5e3, 0x8023, 0x5ca, 0x8022, 0x5b1, 0x8021, 0x598, 0x8020,
-  0x57f, 0x801f, 0x565, 0x801e, 0x54c, 0x801d, 0x533, 0x801c,
-  0x51a, 0x801b, 0x501, 0x801a, 0x4e8, 0x8019, 0x4cf, 0x8018,
-  0x4b6, 0x8017, 0x49c, 0x8016, 0x483, 0x8015, 0x46a, 0x8014,
-  0x451, 0x8013, 0x438, 0x8012, 0x41f, 0x8012, 0x406, 0x8011,
-  0x3ed, 0x8010, 0x3d4, 0x800f, 0x3ba, 0x800e, 0x3a1, 0x800e,
-  0x388, 0x800d, 0x36f, 0x800c, 0x356, 0x800c, 0x33d, 0x800b,
-  0x324, 0x800a, 0x30b, 0x800a, 0x2f1, 0x8009, 0x2d8, 0x8009,
-  0x2bf, 0x8008, 0x2a6, 0x8008, 0x28d, 0x8007, 0x274, 0x8007,
-  0x25b, 0x8006, 0x242, 0x8006, 0x228, 0x8005, 0x20f, 0x8005,
-  0x1f6, 0x8004, 0x1dd, 0x8004, 0x1c4, 0x8004, 0x1ab, 0x8003,
-  0x192, 0x8003, 0x178, 0x8003, 0x15f, 0x8002, 0x146, 0x8002,
-  0x12d, 0x8002, 0x114, 0x8002, 0xfb, 0x8001, 0xe2, 0x8001,
-  0xc9, 0x8001, 0xaf, 0x8001, 0x96, 0x8001, 0x7d, 0x8001,
-  0x64, 0x8001, 0x4b, 0x8001, 0x32, 0x8001, 0x19, 0x8001,
-};
-
-static const q15_t ALIGN4 WeightsQ15_8192[16384] = {
-  0x7fff, 0x0, 0x7fff, 0xfffa, 0x7fff, 0xfff4, 0x7fff, 0xffee,
-  0x7fff, 0xffe7, 0x7fff, 0xffe1, 0x7fff, 0xffdb, 0x7fff, 0xffd5,
-  0x7fff, 0xffce, 0x7fff, 0xffc8, 0x7fff, 0xffc2, 0x7fff, 0xffbb,
-  0x7fff, 0xffb5, 0x7fff, 0xffaf, 0x7fff, 0xffa9, 0x7fff, 0xffa2,
-  0x7fff, 0xff9c, 0x7fff, 0xff96, 0x7fff, 0xff8f, 0x7fff, 0xff89,
-  0x7fff, 0xff83, 0x7fff, 0xff7d, 0x7fff, 0xff76, 0x7fff, 0xff70,
-  0x7fff, 0xff6a, 0x7fff, 0xff63, 0x7fff, 0xff5d, 0x7fff, 0xff57,
-  0x7fff, 0xff51, 0x7fff, 0xff4a, 0x7fff, 0xff44, 0x7fff, 0xff3e,
-  0x7fff, 0xff37, 0x7fff, 0xff31, 0x7fff, 0xff2b, 0x7fff, 0xff25,
-  0x7fff, 0xff1e, 0x7fff, 0xff18, 0x7fff, 0xff12, 0x7fff, 0xff0b,
-  0x7fff, 0xff05, 0x7ffe, 0xfeff, 0x7ffe, 0xfef9, 0x7ffe, 0xfef2,
-  0x7ffe, 0xfeec, 0x7ffe, 0xfee6, 0x7ffe, 0xfedf, 0x7ffe, 0xfed9,
-  0x7ffe, 0xfed3, 0x7ffe, 0xfecd, 0x7ffe, 0xfec6, 0x7ffe, 0xfec0,
-  0x7ffe, 0xfeba, 0x7ffe, 0xfeb3, 0x7ffe, 0xfead, 0x7ffe, 0xfea7,
-  0x7ffe, 0xfea1, 0x7ffe, 0xfe9a, 0x7ffd, 0xfe94, 0x7ffd, 0xfe8e,
-  0x7ffd, 0xfe88, 0x7ffd, 0xfe81, 0x7ffd, 0xfe7b, 0x7ffd, 0xfe75,
-  0x7ffd, 0xfe6e, 0x7ffd, 0xfe68, 0x7ffd, 0xfe62, 0x7ffd, 0xfe5c,
-  0x7ffd, 0xfe55, 0x7ffd, 0xfe4f, 0x7ffd, 0xfe49, 0x7ffc, 0xfe42,
-  0x7ffc, 0xfe3c, 0x7ffc, 0xfe36, 0x7ffc, 0xfe30, 0x7ffc, 0xfe29,
-  0x7ffc, 0xfe23, 0x7ffc, 0xfe1d, 0x7ffc, 0xfe16, 0x7ffc, 0xfe10,
-  0x7ffc, 0xfe0a, 0x7ffc, 0xfe04, 0x7ffb, 0xfdfd, 0x7ffb, 0xfdf7,
-  0x7ffb, 0xfdf1, 0x7ffb, 0xfdea, 0x7ffb, 0xfde4, 0x7ffb, 0xfdde,
-  0x7ffb, 0xfdd8, 0x7ffb, 0xfdd1, 0x7ffb, 0xfdcb, 0x7ffb, 0xfdc5,
-  0x7ffa, 0xfdbe, 0x7ffa, 0xfdb8, 0x7ffa, 0xfdb2, 0x7ffa, 0xfdac,
-  0x7ffa, 0xfda5, 0x7ffa, 0xfd9f, 0x7ffa, 0xfd99, 0x7ffa, 0xfd93,
-  0x7ff9, 0xfd8c, 0x7ff9, 0xfd86, 0x7ff9, 0xfd80, 0x7ff9, 0xfd79,
-  0x7ff9, 0xfd73, 0x7ff9, 0xfd6d, 0x7ff9, 0xfd67, 0x7ff9, 0xfd60,
-  0x7ff8, 0xfd5a, 0x7ff8, 0xfd54, 0x7ff8, 0xfd4d, 0x7ff8, 0xfd47,
-  0x7ff8, 0xfd41, 0x7ff8, 0xfd3b, 0x7ff8, 0xfd34, 0x7ff8, 0xfd2e,
-  0x7ff7, 0xfd28, 0x7ff7, 0xfd21, 0x7ff7, 0xfd1b, 0x7ff7, 0xfd15,
-  0x7ff7, 0xfd0f, 0x7ff7, 0xfd08, 0x7ff7, 0xfd02, 0x7ff6, 0xfcfc,
-  0x7ff6, 0xfcf5, 0x7ff6, 0xfcef, 0x7ff6, 0xfce9, 0x7ff6, 0xfce3,
-  0x7ff6, 0xfcdc, 0x7ff5, 0xfcd6, 0x7ff5, 0xfcd0, 0x7ff5, 0xfcc9,
-  0x7ff5, 0xfcc3, 0x7ff5, 0xfcbd, 0x7ff5, 0xfcb7, 0x7ff5, 0xfcb0,
-  0x7ff4, 0xfcaa, 0x7ff4, 0xfca4, 0x7ff4, 0xfc9e, 0x7ff4, 0xfc97,
-  0x7ff4, 0xfc91, 0x7ff4, 0xfc8b, 0x7ff3, 0xfc84, 0x7ff3, 0xfc7e,
-  0x7ff3, 0xfc78, 0x7ff3, 0xfc72, 0x7ff3, 0xfc6b, 0x7ff2, 0xfc65,
-  0x7ff2, 0xfc5f, 0x7ff2, 0xfc58, 0x7ff2, 0xfc52, 0x7ff2, 0xfc4c,
-  0x7ff2, 0xfc46, 0x7ff1, 0xfc3f, 0x7ff1, 0xfc39, 0x7ff1, 0xfc33,
-  0x7ff1, 0xfc2c, 0x7ff1, 0xfc26, 0x7ff0, 0xfc20, 0x7ff0, 0xfc1a,
-  0x7ff0, 0xfc13, 0x7ff0, 0xfc0d, 0x7ff0, 0xfc07, 0x7fef, 0xfc01,
-  0x7fef, 0xfbfa, 0x7fef, 0xfbf4, 0x7fef, 0xfbee, 0x7fef, 0xfbe7,
-  0x7fee, 0xfbe1, 0x7fee, 0xfbdb, 0x7fee, 0xfbd5, 0x7fee, 0xfbce,
-  0x7fee, 0xfbc8, 0x7fed, 0xfbc2, 0x7fed, 0xfbbb, 0x7fed, 0xfbb5,
-  0x7fed, 0xfbaf, 0x7fed, 0xfba9, 0x7fec, 0xfba2, 0x7fec, 0xfb9c,
-  0x7fec, 0xfb96, 0x7fec, 0xfb8f, 0x7fec, 0xfb89, 0x7feb, 0xfb83,
-  0x7feb, 0xfb7d, 0x7feb, 0xfb76, 0x7feb, 0xfb70, 0x7fea, 0xfb6a,
-  0x7fea, 0xfb64, 0x7fea, 0xfb5d, 0x7fea, 0xfb57, 0x7fea, 0xfb51,
-  0x7fe9, 0xfb4a, 0x7fe9, 0xfb44, 0x7fe9, 0xfb3e, 0x7fe9, 0xfb38,
-  0x7fe8, 0xfb31, 0x7fe8, 0xfb2b, 0x7fe8, 0xfb25, 0x7fe8, 0xfb1e,
-  0x7fe7, 0xfb18, 0x7fe7, 0xfb12, 0x7fe7, 0xfb0c, 0x7fe7, 0xfb05,
-  0x7fe6, 0xfaff, 0x7fe6, 0xfaf9, 0x7fe6, 0xfaf3, 0x7fe6, 0xfaec,
-  0x7fe5, 0xfae6, 0x7fe5, 0xfae0, 0x7fe5, 0xfad9, 0x7fe5, 0xfad3,
-  0x7fe4, 0xfacd, 0x7fe4, 0xfac7, 0x7fe4, 0xfac0, 0x7fe4, 0xfaba,
-  0x7fe3, 0xfab4, 0x7fe3, 0xfaad, 0x7fe3, 0xfaa7, 0x7fe3, 0xfaa1,
-  0x7fe2, 0xfa9b, 0x7fe2, 0xfa94, 0x7fe2, 0xfa8e, 0x7fe2, 0xfa88,
-  0x7fe1, 0xfa81, 0x7fe1, 0xfa7b, 0x7fe1, 0xfa75, 0x7fe0, 0xfa6f,
-  0x7fe0, 0xfa68, 0x7fe0, 0xfa62, 0x7fe0, 0xfa5c, 0x7fdf, 0xfa56,
-  0x7fdf, 0xfa4f, 0x7fdf, 0xfa49, 0x7fdf, 0xfa43, 0x7fde, 0xfa3c,
-  0x7fde, 0xfa36, 0x7fde, 0xfa30, 0x7fdd, 0xfa2a, 0x7fdd, 0xfa23,
-  0x7fdd, 0xfa1d, 0x7fdd, 0xfa17, 0x7fdc, 0xfa11, 0x7fdc, 0xfa0a,
-  0x7fdc, 0xfa04, 0x7fdb, 0xf9fe, 0x7fdb, 0xf9f7, 0x7fdb, 0xf9f1,
-  0x7fda, 0xf9eb, 0x7fda, 0xf9e5, 0x7fda, 0xf9de, 0x7fda, 0xf9d8,
-  0x7fd9, 0xf9d2, 0x7fd9, 0xf9cb, 0x7fd9, 0xf9c5, 0x7fd8, 0xf9bf,
-  0x7fd8, 0xf9b9, 0x7fd8, 0xf9b2, 0x7fd7, 0xf9ac, 0x7fd7, 0xf9a6,
-  0x7fd7, 0xf9a0, 0x7fd6, 0xf999, 0x7fd6, 0xf993, 0x7fd6, 0xf98d,
-  0x7fd6, 0xf986, 0x7fd5, 0xf980, 0x7fd5, 0xf97a, 0x7fd5, 0xf974,
-  0x7fd4, 0xf96d, 0x7fd4, 0xf967, 0x7fd4, 0xf961, 0x7fd3, 0xf95b,
-  0x7fd3, 0xf954, 0x7fd3, 0xf94e, 0x7fd2, 0xf948, 0x7fd2, 0xf941,
-  0x7fd2, 0xf93b, 0x7fd1, 0xf935, 0x7fd1, 0xf92f, 0x7fd1, 0xf928,
-  0x7fd0, 0xf922, 0x7fd0, 0xf91c, 0x7fd0, 0xf916, 0x7fcf, 0xf90f,
-  0x7fcf, 0xf909, 0x7fcf, 0xf903, 0x7fce, 0xf8fc, 0x7fce, 0xf8f6,
-  0x7fce, 0xf8f0, 0x7fcd, 0xf8ea, 0x7fcd, 0xf8e3, 0x7fcd, 0xf8dd,
-  0x7fcc, 0xf8d7, 0x7fcc, 0xf8d0, 0x7fcb, 0xf8ca, 0x7fcb, 0xf8c4,
-  0x7fcb, 0xf8be, 0x7fca, 0xf8b7, 0x7fca, 0xf8b1, 0x7fca, 0xf8ab,
-  0x7fc9, 0xf8a5, 0x7fc9, 0xf89e, 0x7fc9, 0xf898, 0x7fc8, 0xf892,
-  0x7fc8, 0xf88b, 0x7fc7, 0xf885, 0x7fc7, 0xf87f, 0x7fc7, 0xf879,
-  0x7fc6, 0xf872, 0x7fc6, 0xf86c, 0x7fc6, 0xf866, 0x7fc5, 0xf860,
-  0x7fc5, 0xf859, 0x7fc5, 0xf853, 0x7fc4, 0xf84d, 0x7fc4, 0xf846,
-  0x7fc3, 0xf840, 0x7fc3, 0xf83a, 0x7fc3, 0xf834, 0x7fc2, 0xf82d,
-  0x7fc2, 0xf827, 0x7fc1, 0xf821, 0x7fc1, 0xf81b, 0x7fc1, 0xf814,
-  0x7fc0, 0xf80e, 0x7fc0, 0xf808, 0x7fc0, 0xf802, 0x7fbf, 0xf7fb,
-  0x7fbf, 0xf7f5, 0x7fbe, 0xf7ef, 0x7fbe, 0xf7e8, 0x7fbe, 0xf7e2,
-  0x7fbd, 0xf7dc, 0x7fbd, 0xf7d6, 0x7fbc, 0xf7cf, 0x7fbc, 0xf7c9,
-  0x7fbc, 0xf7c3, 0x7fbb, 0xf7bd, 0x7fbb, 0xf7b6, 0x7fba, 0xf7b0,
-  0x7fba, 0xf7aa, 0x7fb9, 0xf7a3, 0x7fb9, 0xf79d, 0x7fb9, 0xf797,
-  0x7fb8, 0xf791, 0x7fb8, 0xf78a, 0x7fb7, 0xf784, 0x7fb7, 0xf77e,
-  0x7fb7, 0xf778, 0x7fb6, 0xf771, 0x7fb6, 0xf76b, 0x7fb5, 0xf765,
-  0x7fb5, 0xf75e, 0x7fb4, 0xf758, 0x7fb4, 0xf752, 0x7fb4, 0xf74c,
-  0x7fb3, 0xf745, 0x7fb3, 0xf73f, 0x7fb2, 0xf739, 0x7fb2, 0xf733,
-  0x7fb1, 0xf72c, 0x7fb1, 0xf726, 0x7fb1, 0xf720, 0x7fb0, 0xf71a,
-  0x7fb0, 0xf713, 0x7faf, 0xf70d, 0x7faf, 0xf707, 0x7fae, 0xf700,
-  0x7fae, 0xf6fa, 0x7fae, 0xf6f4, 0x7fad, 0xf6ee, 0x7fad, 0xf6e7,
-  0x7fac, 0xf6e1, 0x7fac, 0xf6db, 0x7fab, 0xf6d5, 0x7fab, 0xf6ce,
-  0x7faa, 0xf6c8, 0x7faa, 0xf6c2, 0x7fa9, 0xf6bc, 0x7fa9, 0xf6b5,
-  0x7fa9, 0xf6af, 0x7fa8, 0xf6a9, 0x7fa8, 0xf6a2, 0x7fa7, 0xf69c,
-  0x7fa7, 0xf696, 0x7fa6, 0xf690, 0x7fa6, 0xf689, 0x7fa5, 0xf683,
-  0x7fa5, 0xf67d, 0x7fa4, 0xf677, 0x7fa4, 0xf670, 0x7fa3, 0xf66a,
-  0x7fa3, 0xf664, 0x7fa3, 0xf65e, 0x7fa2, 0xf657, 0x7fa2, 0xf651,
-  0x7fa1, 0xf64b, 0x7fa1, 0xf644, 0x7fa0, 0xf63e, 0x7fa0, 0xf638,
-  0x7f9f, 0xf632, 0x7f9f, 0xf62b, 0x7f9e, 0xf625, 0x7f9e, 0xf61f,
-  0x7f9d, 0xf619, 0x7f9d, 0xf612, 0x7f9c, 0xf60c, 0x7f9c, 0xf606,
-  0x7f9b, 0xf600, 0x7f9b, 0xf5f9, 0x7f9a, 0xf5f3, 0x7f9a, 0xf5ed,
-  0x7f99, 0xf5e7, 0x7f99, 0xf5e0, 0x7f98, 0xf5da, 0x7f98, 0xf5d4,
-  0x7f97, 0xf5cd, 0x7f97, 0xf5c7, 0x7f96, 0xf5c1, 0x7f96, 0xf5bb,
-  0x7f95, 0xf5b4, 0x7f95, 0xf5ae, 0x7f94, 0xf5a8, 0x7f94, 0xf5a2,
-  0x7f93, 0xf59b, 0x7f93, 0xf595, 0x7f92, 0xf58f, 0x7f92, 0xf589,
-  0x7f91, 0xf582, 0x7f91, 0xf57c, 0x7f90, 0xf576, 0x7f90, 0xf570,
-  0x7f8f, 0xf569, 0x7f8f, 0xf563, 0x7f8e, 0xf55d, 0x7f8e, 0xf556,
-  0x7f8d, 0xf550, 0x7f8d, 0xf54a, 0x7f8c, 0xf544, 0x7f8b, 0xf53d,
-  0x7f8b, 0xf537, 0x7f8a, 0xf531, 0x7f8a, 0xf52b, 0x7f89, 0xf524,
-  0x7f89, 0xf51e, 0x7f88, 0xf518, 0x7f88, 0xf512, 0x7f87, 0xf50b,
-  0x7f87, 0xf505, 0x7f86, 0xf4ff, 0x7f86, 0xf4f9, 0x7f85, 0xf4f2,
-  0x7f85, 0xf4ec, 0x7f84, 0xf4e6, 0x7f83, 0xf4e0, 0x7f83, 0xf4d9,
-  0x7f82, 0xf4d3, 0x7f82, 0xf4cd, 0x7f81, 0xf4c6, 0x7f81, 0xf4c0,
-  0x7f80, 0xf4ba, 0x7f80, 0xf4b4, 0x7f7f, 0xf4ad, 0x7f7e, 0xf4a7,
-  0x7f7e, 0xf4a1, 0x7f7d, 0xf49b, 0x7f7d, 0xf494, 0x7f7c, 0xf48e,
-  0x7f7c, 0xf488, 0x7f7b, 0xf482, 0x7f7b, 0xf47b, 0x7f7a, 0xf475,
-  0x7f79, 0xf46f, 0x7f79, 0xf469, 0x7f78, 0xf462, 0x7f78, 0xf45c,
-  0x7f77, 0xf456, 0x7f77, 0xf450, 0x7f76, 0xf449, 0x7f75, 0xf443,
-  0x7f75, 0xf43d, 0x7f74, 0xf437, 0x7f74, 0xf430, 0x7f73, 0xf42a,
-  0x7f72, 0xf424, 0x7f72, 0xf41e, 0x7f71, 0xf417, 0x7f71, 0xf411,
-  0x7f70, 0xf40b, 0x7f70, 0xf405, 0x7f6f, 0xf3fe, 0x7f6e, 0xf3f8,
-  0x7f6e, 0xf3f2, 0x7f6d, 0xf3ec, 0x7f6d, 0xf3e5, 0x7f6c, 0xf3df,
-  0x7f6b, 0xf3d9, 0x7f6b, 0xf3d2, 0x7f6a, 0xf3cc, 0x7f6a, 0xf3c6,
-  0x7f69, 0xf3c0, 0x7f68, 0xf3b9, 0x7f68, 0xf3b3, 0x7f67, 0xf3ad,
-  0x7f67, 0xf3a7, 0x7f66, 0xf3a0, 0x7f65, 0xf39a, 0x7f65, 0xf394,
-  0x7f64, 0xf38e, 0x7f64, 0xf387, 0x7f63, 0xf381, 0x7f62, 0xf37b,
-  0x7f62, 0xf375, 0x7f61, 0xf36e, 0x7f60, 0xf368, 0x7f60, 0xf362,
-  0x7f5f, 0xf35c, 0x7f5f, 0xf355, 0x7f5e, 0xf34f, 0x7f5d, 0xf349,
-  0x7f5d, 0xf343, 0x7f5c, 0xf33c, 0x7f5b, 0xf336, 0x7f5b, 0xf330,
-  0x7f5a, 0xf32a, 0x7f5a, 0xf323, 0x7f59, 0xf31d, 0x7f58, 0xf317,
-  0x7f58, 0xf311, 0x7f57, 0xf30a, 0x7f56, 0xf304, 0x7f56, 0xf2fe,
-  0x7f55, 0xf2f8, 0x7f55, 0xf2f1, 0x7f54, 0xf2eb, 0x7f53, 0xf2e5,
-  0x7f53, 0xf2df, 0x7f52, 0xf2d8, 0x7f51, 0xf2d2, 0x7f51, 0xf2cc,
-  0x7f50, 0xf2c6, 0x7f4f, 0xf2bf, 0x7f4f, 0xf2b9, 0x7f4e, 0xf2b3,
-  0x7f4d, 0xf2ad, 0x7f4d, 0xf2a6, 0x7f4c, 0xf2a0, 0x7f4b, 0xf29a,
-  0x7f4b, 0xf294, 0x7f4a, 0xf28d, 0x7f49, 0xf287, 0x7f49, 0xf281,
-  0x7f48, 0xf27b, 0x7f47, 0xf274, 0x7f47, 0xf26e, 0x7f46, 0xf268,
-  0x7f45, 0xf262, 0x7f45, 0xf25b, 0x7f44, 0xf255, 0x7f43, 0xf24f,
-  0x7f43, 0xf249, 0x7f42, 0xf242, 0x7f41, 0xf23c, 0x7f41, 0xf236,
-  0x7f40, 0xf230, 0x7f3f, 0xf229, 0x7f3f, 0xf223, 0x7f3e, 0xf21d,
-  0x7f3d, 0xf217, 0x7f3d, 0xf210, 0x7f3c, 0xf20a, 0x7f3b, 0xf204,
-  0x7f3b, 0xf1fe, 0x7f3a, 0xf1f7, 0x7f39, 0xf1f1, 0x7f39, 0xf1eb,
-  0x7f38, 0xf1e5, 0x7f37, 0xf1de, 0x7f36, 0xf1d8, 0x7f36, 0xf1d2,
-  0x7f35, 0xf1cc, 0x7f34, 0xf1c6, 0x7f34, 0xf1bf, 0x7f33, 0xf1b9,
-  0x7f32, 0xf1b3, 0x7f32, 0xf1ad, 0x7f31, 0xf1a6, 0x7f30, 0xf1a0,
-  0x7f2f, 0xf19a, 0x7f2f, 0xf194, 0x7f2e, 0xf18d, 0x7f2d, 0xf187,
-  0x7f2d, 0xf181, 0x7f2c, 0xf17b, 0x7f2b, 0xf174, 0x7f2a, 0xf16e,
-  0x7f2a, 0xf168, 0x7f29, 0xf162, 0x7f28, 0xf15b, 0x7f28, 0xf155,
-  0x7f27, 0xf14f, 0x7f26, 0xf149, 0x7f25, 0xf142, 0x7f25, 0xf13c,
-  0x7f24, 0xf136, 0x7f23, 0xf130, 0x7f23, 0xf129, 0x7f22, 0xf123,
-  0x7f21, 0xf11d, 0x7f20, 0xf117, 0x7f20, 0xf110, 0x7f1f, 0xf10a,
-  0x7f1e, 0xf104, 0x7f1d, 0xf0fe, 0x7f1d, 0xf0f8, 0x7f1c, 0xf0f1,
-  0x7f1b, 0xf0eb, 0x7f1a, 0xf0e5, 0x7f1a, 0xf0df, 0x7f19, 0xf0d8,
-  0x7f18, 0xf0d2, 0x7f17, 0xf0cc, 0x7f17, 0xf0c6, 0x7f16, 0xf0bf,
-  0x7f15, 0xf0b9, 0x7f14, 0xf0b3, 0x7f14, 0xf0ad, 0x7f13, 0xf0a6,
-  0x7f12, 0xf0a0, 0x7f11, 0xf09a, 0x7f11, 0xf094, 0x7f10, 0xf08d,
-  0x7f0f, 0xf087, 0x7f0e, 0xf081, 0x7f0e, 0xf07b, 0x7f0d, 0xf075,
-  0x7f0c, 0xf06e, 0x7f0b, 0xf068, 0x7f0b, 0xf062, 0x7f0a, 0xf05c,
-  0x7f09, 0xf055, 0x7f08, 0xf04f, 0x7f08, 0xf049, 0x7f07, 0xf043,
-  0x7f06, 0xf03c, 0x7f05, 0xf036, 0x7f04, 0xf030, 0x7f04, 0xf02a,
-  0x7f03, 0xf023, 0x7f02, 0xf01d, 0x7f01, 0xf017, 0x7f01, 0xf011,
-  0x7f00, 0xf00b, 0x7eff, 0xf004, 0x7efe, 0xeffe, 0x7efd, 0xeff8,
-  0x7efd, 0xeff2, 0x7efc, 0xefeb, 0x7efb, 0xefe5, 0x7efa, 0xefdf,
-  0x7ef9, 0xefd9, 0x7ef9, 0xefd2, 0x7ef8, 0xefcc, 0x7ef7, 0xefc6,
-  0x7ef6, 0xefc0, 0x7ef5, 0xefb9, 0x7ef5, 0xefb3, 0x7ef4, 0xefad,
-  0x7ef3, 0xefa7, 0x7ef2, 0xefa1, 0x7ef1, 0xef9a, 0x7ef1, 0xef94,
-  0x7ef0, 0xef8e, 0x7eef, 0xef88, 0x7eee, 0xef81, 0x7eed, 0xef7b,
-  0x7eed, 0xef75, 0x7eec, 0xef6f, 0x7eeb, 0xef68, 0x7eea, 0xef62,
-  0x7ee9, 0xef5c, 0x7ee9, 0xef56, 0x7ee8, 0xef50, 0x7ee7, 0xef49,
-  0x7ee6, 0xef43, 0x7ee5, 0xef3d, 0x7ee4, 0xef37, 0x7ee4, 0xef30,
-  0x7ee3, 0xef2a, 0x7ee2, 0xef24, 0x7ee1, 0xef1e, 0x7ee0, 0xef18,
-  0x7edf, 0xef11, 0x7edf, 0xef0b, 0x7ede, 0xef05, 0x7edd, 0xeeff,
-  0x7edc, 0xeef8, 0x7edb, 0xeef2, 0x7eda, 0xeeec, 0x7eda, 0xeee6,
-  0x7ed9, 0xeedf, 0x7ed8, 0xeed9, 0x7ed7, 0xeed3, 0x7ed6, 0xeecd,
-  0x7ed5, 0xeec7, 0x7ed5, 0xeec0, 0x7ed4, 0xeeba, 0x7ed3, 0xeeb4,
-  0x7ed2, 0xeeae, 0x7ed1, 0xeea7, 0x7ed0, 0xeea1, 0x7ecf, 0xee9b,
-  0x7ecf, 0xee95, 0x7ece, 0xee8f, 0x7ecd, 0xee88, 0x7ecc, 0xee82,
-  0x7ecb, 0xee7c, 0x7eca, 0xee76, 0x7ec9, 0xee6f, 0x7ec9, 0xee69,
-  0x7ec8, 0xee63, 0x7ec7, 0xee5d, 0x7ec6, 0xee57, 0x7ec5, 0xee50,
-  0x7ec4, 0xee4a, 0x7ec3, 0xee44, 0x7ec3, 0xee3e, 0x7ec2, 0xee37,
-  0x7ec1, 0xee31, 0x7ec0, 0xee2b, 0x7ebf, 0xee25, 0x7ebe, 0xee1f,
-  0x7ebd, 0xee18, 0x7ebc, 0xee12, 0x7ebb, 0xee0c, 0x7ebb, 0xee06,
-  0x7eba, 0xedff, 0x7eb9, 0xedf9, 0x7eb8, 0xedf3, 0x7eb7, 0xeded,
-  0x7eb6, 0xede7, 0x7eb5, 0xede0, 0x7eb4, 0xedda, 0x7eb4, 0xedd4,
-  0x7eb3, 0xedce, 0x7eb2, 0xedc7, 0x7eb1, 0xedc1, 0x7eb0, 0xedbb,
-  0x7eaf, 0xedb5, 0x7eae, 0xedaf, 0x7ead, 0xeda8, 0x7eac, 0xeda2,
-  0x7eab, 0xed9c, 0x7eab, 0xed96, 0x7eaa, 0xed8f, 0x7ea9, 0xed89,
-  0x7ea8, 0xed83, 0x7ea7, 0xed7d, 0x7ea6, 0xed77, 0x7ea5, 0xed70,
-  0x7ea4, 0xed6a, 0x7ea3, 0xed64, 0x7ea2, 0xed5e, 0x7ea1, 0xed58,
-  0x7ea1, 0xed51, 0x7ea0, 0xed4b, 0x7e9f, 0xed45, 0x7e9e, 0xed3f,
-  0x7e9d, 0xed38, 0x7e9c, 0xed32, 0x7e9b, 0xed2c, 0x7e9a, 0xed26,
-  0x7e99, 0xed20, 0x7e98, 0xed19, 0x7e97, 0xed13, 0x7e96, 0xed0d,
-  0x7e95, 0xed07, 0x7e94, 0xed01, 0x7e94, 0xecfa, 0x7e93, 0xecf4,
-  0x7e92, 0xecee, 0x7e91, 0xece8, 0x7e90, 0xece1, 0x7e8f, 0xecdb,
-  0x7e8e, 0xecd5, 0x7e8d, 0xeccf, 0x7e8c, 0xecc9, 0x7e8b, 0xecc2,
-  0x7e8a, 0xecbc, 0x7e89, 0xecb6, 0x7e88, 0xecb0, 0x7e87, 0xecaa,
-  0x7e86, 0xeca3, 0x7e85, 0xec9d, 0x7e84, 0xec97, 0x7e84, 0xec91,
-  0x7e83, 0xec8a, 0x7e82, 0xec84, 0x7e81, 0xec7e, 0x7e80, 0xec78,
-  0x7e7f, 0xec72, 0x7e7e, 0xec6b, 0x7e7d, 0xec65, 0x7e7c, 0xec5f,
-  0x7e7b, 0xec59, 0x7e7a, 0xec53, 0x7e79, 0xec4c, 0x7e78, 0xec46,
-  0x7e77, 0xec40, 0x7e76, 0xec3a, 0x7e75, 0xec34, 0x7e74, 0xec2d,
-  0x7e73, 0xec27, 0x7e72, 0xec21, 0x7e71, 0xec1b, 0x7e70, 0xec15,
-  0x7e6f, 0xec0e, 0x7e6e, 0xec08, 0x7e6d, 0xec02, 0x7e6c, 0xebfc,
-  0x7e6b, 0xebf5, 0x7e6a, 0xebef, 0x7e69, 0xebe9, 0x7e68, 0xebe3,
-  0x7e67, 0xebdd, 0x7e66, 0xebd6, 0x7e65, 0xebd0, 0x7e64, 0xebca,
-  0x7e63, 0xebc4, 0x7e62, 0xebbe, 0x7e61, 0xebb7, 0x7e60, 0xebb1,
-  0x7e5f, 0xebab, 0x7e5e, 0xeba5, 0x7e5d, 0xeb9f, 0x7e5c, 0xeb98,
-  0x7e5b, 0xeb92, 0x7e5a, 0xeb8c, 0x7e59, 0xeb86, 0x7e58, 0xeb80,
-  0x7e57, 0xeb79, 0x7e56, 0xeb73, 0x7e55, 0xeb6d, 0x7e54, 0xeb67,
-  0x7e53, 0xeb61, 0x7e52, 0xeb5a, 0x7e51, 0xeb54, 0x7e50, 0xeb4e,
-  0x7e4f, 0xeb48, 0x7e4e, 0xeb42, 0x7e4d, 0xeb3b, 0x7e4c, 0xeb35,
-  0x7e4b, 0xeb2f, 0x7e4a, 0xeb29, 0x7e49, 0xeb23, 0x7e48, 0xeb1c,
-  0x7e47, 0xeb16, 0x7e46, 0xeb10, 0x7e45, 0xeb0a, 0x7e44, 0xeb04,
-  0x7e43, 0xeafd, 0x7e42, 0xeaf7, 0x7e41, 0xeaf1, 0x7e40, 0xeaeb,
-  0x7e3f, 0xeae5, 0x7e3e, 0xeade, 0x7e3d, 0xead8, 0x7e3c, 0xead2,
-  0x7e3b, 0xeacc, 0x7e3a, 0xeac6, 0x7e39, 0xeabf, 0x7e38, 0xeab9,
-  0x7e37, 0xeab3, 0x7e35, 0xeaad, 0x7e34, 0xeaa7, 0x7e33, 0xeaa0,
-  0x7e32, 0xea9a, 0x7e31, 0xea94, 0x7e30, 0xea8e, 0x7e2f, 0xea88,
-  0x7e2e, 0xea81, 0x7e2d, 0xea7b, 0x7e2c, 0xea75, 0x7e2b, 0xea6f,
-  0x7e2a, 0xea69, 0x7e29, 0xea63, 0x7e28, 0xea5c, 0x7e27, 0xea56,
-  0x7e26, 0xea50, 0x7e25, 0xea4a, 0x7e24, 0xea44, 0x7e22, 0xea3d,
-  0x7e21, 0xea37, 0x7e20, 0xea31, 0x7e1f, 0xea2b, 0x7e1e, 0xea25,
-  0x7e1d, 0xea1e, 0x7e1c, 0xea18, 0x7e1b, 0xea12, 0x7e1a, 0xea0c,
-  0x7e19, 0xea06, 0x7e18, 0xe9ff, 0x7e17, 0xe9f9, 0x7e16, 0xe9f3,
-  0x7e14, 0xe9ed, 0x7e13, 0xe9e7, 0x7e12, 0xe9e1, 0x7e11, 0xe9da,
-  0x7e10, 0xe9d4, 0x7e0f, 0xe9ce, 0x7e0e, 0xe9c8, 0x7e0d, 0xe9c2,
-  0x7e0c, 0xe9bb, 0x7e0b, 0xe9b5, 0x7e0a, 0xe9af, 0x7e08, 0xe9a9,
-  0x7e07, 0xe9a3, 0x7e06, 0xe99c, 0x7e05, 0xe996, 0x7e04, 0xe990,
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-  0x7dff, 0xe971, 0x7dfd, 0xe96b, 0x7dfc, 0xe965, 0x7dfb, 0xe95f,
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-  0x7aa8, 0xdb69, 0x7aa6, 0xdb63, 0x7aa4, 0xdb5d, 0x7aa3, 0xdb57,
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-  0x79c8, 0xd899, 0x79c6, 0xd893, 0x79c4, 0xd88d, 0x79c2, 0xd887,
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-  0x79b9, 0xd869, 0x79b7, 0xd863, 0x79b5, 0xd85d, 0x79b3, 0xd857,
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-  0x798a, 0xd7da, 0x7988, 0xd7d4, 0x7986, 0xd7ce, 0x7984, 0xd7c8,
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-  0x797a, 0xd7aa, 0x7978, 0xd7a4, 0x7976, 0xd79e, 0x7974, 0xd798,
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-  0x794a, 0xd71b, 0x7948, 0xd715, 0x7946, 0xd70f, 0x7944, 0xd709,
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-  0x793a, 0xd6eb, 0x7938, 0xd6e5, 0x7936, 0xd6e0, 0x7934, 0xd6da,
-  0x7932, 0xd6d4, 0x7930, 0xd6ce, 0x792e, 0xd6c8, 0x792c, 0xd6c2,
-  0x792a, 0xd6bc, 0x7928, 0xd6b6, 0x7926, 0xd6b0, 0x7924, 0xd6aa,
-  0x7922, 0xd6a4, 0x7920, 0xd69e, 0x791e, 0xd698, 0x791c, 0xd692,
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-  0x7911, 0xd675, 0x790f, 0xd66f, 0x790d, 0xd669, 0x790b, 0xd663,
-  0x7909, 0xd65d, 0x7907, 0xd657, 0x7905, 0xd651, 0x7903, 0xd64b,
-  0x7901, 0xd645, 0x78ff, 0xd63f, 0x78fd, 0xd639, 0x78fb, 0xd633,
-  0x78f9, 0xd62d, 0x78f7, 0xd627, 0x78f5, 0xd621, 0x78f3, 0xd61b,
-  0x78f1, 0xd615, 0x78ee, 0xd610, 0x78ec, 0xd60a, 0x78ea, 0xd604,
-  0x78e8, 0xd5fe, 0x78e6, 0xd5f8, 0x78e4, 0xd5f2, 0x78e2, 0xd5ec,
-  0x78e0, 0xd5e6, 0x78de, 0xd5e0, 0x78dc, 0xd5da, 0x78da, 0xd5d4,
-  0x78d8, 0xd5ce, 0x78d6, 0xd5c8, 0x78d4, 0xd5c2, 0x78d2, 0xd5bc,
-  0x78cf, 0xd5b7, 0x78cd, 0xd5b1, 0x78cb, 0xd5ab, 0x78c9, 0xd5a5,
-  0x78c7, 0xd59f, 0x78c5, 0xd599, 0x78c3, 0xd593, 0x78c1, 0xd58d,
-  0x78bf, 0xd587, 0x78bd, 0xd581, 0x78bb, 0xd57b, 0x78b9, 0xd575,
-  0x78b6, 0xd56f, 0x78b4, 0xd569, 0x78b2, 0xd564, 0x78b0, 0xd55e,
-  0x78ae, 0xd558, 0x78ac, 0xd552, 0x78aa, 0xd54c, 0x78a8, 0xd546,
-  0x78a6, 0xd540, 0x78a4, 0xd53a, 0x78a2, 0xd534, 0x789f, 0xd52e,
-  0x789d, 0xd528, 0x789b, 0xd522, 0x7899, 0xd51c, 0x7897, 0xd517,
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-  0x788c, 0xd4f9, 0x788a, 0xd4f3, 0x7888, 0xd4ed, 0x7886, 0xd4e7,
-  0x7884, 0xd4e1, 0x7882, 0xd4db, 0x7880, 0xd4d5, 0x787e, 0xd4d0,
-  0x787c, 0xd4ca, 0x7879, 0xd4c4, 0x7877, 0xd4be, 0x7875, 0xd4b8,
-  0x7873, 0xd4b2, 0x7871, 0xd4ac, 0x786f, 0xd4a6, 0x786d, 0xd4a0,
-  0x786b, 0xd49a, 0x7868, 0xd494, 0x7866, 0xd48f, 0x7864, 0xd489,
-  0x7862, 0xd483, 0x7860, 0xd47d, 0x785e, 0xd477, 0x785c, 0xd471,
-  0x7859, 0xd46b, 0x7857, 0xd465, 0x7855, 0xd45f, 0x7853, 0xd459,
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-  0x7837, 0xd40d, 0x7835, 0xd407, 0x7833, 0xd401, 0x7831, 0xd3fb,
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-  0x7826, 0xd3dd, 0x7824, 0xd3d7, 0x7821, 0xd3d2, 0x781f, 0xd3cc,
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-  0x77d7, 0xd309, 0x77d5, 0xd303, 0x77d3, 0xd2fe, 0x77d0, 0xd2f8,
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-  0x74fa, 0xcc0b, 0x74f8, 0xcc05, 0x74f5, 0xcbff, 0x74f2, 0xcbf9,
-  0x74f0, 0xcbf4, 0x74ed, 0xcbee, 0x74eb, 0xcbe8, 0x74e8, 0xcbe2,
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-  0x74db, 0xcbc6, 0x74d9, 0xcbc0, 0x74d6, 0xcbba, 0x74d4, 0xcbb5,
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-  0x74c7, 0xcb98, 0x74c4, 0xcb92, 0x74c2, 0xcb8c, 0x74bf, 0xcb87,
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-  0x749e, 0xcb3c, 0x749b, 0xcb36, 0x7498, 0xcb31, 0x7496, 0xcb2b,
-  0x7493, 0xcb25, 0x7491, 0xcb20, 0x748e, 0xcb1a, 0x748b, 0xcb14,
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-  0x73f6, 0xc9cf, 0x73f3, 0xc9c9, 0x73f0, 0xc9c3, 0x73ee, 0xc9be,
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-  0x5fa0, 0xaaeb, 0x5f9c, 0xaae7, 0x5f98, 0xaae2, 0x5f94, 0xaadd,
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-  0x5f7f, 0xaac6, 0x5f7b, 0xaac1, 0x5f77, 0xaabc, 0x5f72, 0xaab8,
-  0x5f6e, 0xaab3, 0x5f6a, 0xaaae, 0x5f66, 0xaaaa, 0x5f62, 0xaaa5,
-  0x5f5e, 0xaaa0, 0x5f59, 0xaa9c, 0x5f55, 0xaa97, 0x5f51, 0xaa92,
-  0x5f4d, 0xaa8e, 0x5f49, 0xaa89, 0x5f44, 0xaa84, 0x5f40, 0xaa7f,
-  0x5f3c, 0xaa7b, 0x5f38, 0xaa76, 0x5f34, 0xaa71, 0x5f2f, 0xaa6d,
-  0x5f2b, 0xaa68, 0x5f27, 0xaa63, 0x5f23, 0xaa5f, 0x5f1f, 0xaa5a,
-  0x5f1a, 0xaa55, 0x5f16, 0xaa51, 0x5f12, 0xaa4c, 0x5f0e, 0xaa47,
-  0x5f0a, 0xaa43, 0x5f05, 0xaa3e, 0x5f01, 0xaa39, 0x5efd, 0xaa35,
-  0x5ef9, 0xaa30, 0x5ef5, 0xaa2b, 0x5ef0, 0xaa27, 0x5eec, 0xaa22,
-  0x5ee8, 0xaa1d, 0x5ee4, 0xaa19, 0x5edf, 0xaa14, 0x5edb, 0xaa10,
-  0x5ed7, 0xaa0b, 0x5ed3, 0xaa06, 0x5ecf, 0xaa02, 0x5eca, 0xa9fd,
-  0x5ec6, 0xa9f8, 0x5ec2, 0xa9f4, 0x5ebe, 0xa9ef, 0x5eb9, 0xa9ea,
-  0x5eb5, 0xa9e6, 0x5eb1, 0xa9e1, 0x5ead, 0xa9dc, 0x5ea9, 0xa9d8,
-  0x5ea4, 0xa9d3, 0x5ea0, 0xa9ce, 0x5e9c, 0xa9ca, 0x5e98, 0xa9c5,
-  0x5e93, 0xa9c0, 0x5e8f, 0xa9bc, 0x5e8b, 0xa9b7, 0x5e87, 0xa9b3,
-  0x5e82, 0xa9ae, 0x5e7e, 0xa9a9, 0x5e7a, 0xa9a5, 0x5e76, 0xa9a0,
-  0x5e71, 0xa99b, 0x5e6d, 0xa997, 0x5e69, 0xa992, 0x5e65, 0xa98d,
-  0x5e60, 0xa989, 0x5e5c, 0xa984, 0x5e58, 0xa980, 0x5e54, 0xa97b,
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-  0x5e0b, 0xa92c, 0x5e07, 0xa928, 0x5e03, 0xa923, 0x5dff, 0xa91e,
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-  0x5dd8, 0xa8f5, 0x5dd4, 0xa8f0, 0x5dd0, 0xa8ec, 0x5dcb, 0xa8e7,
-  0x5dc7, 0xa8e3, 0x5dc3, 0xa8de, 0x5dbf, 0xa8d9, 0x5dba, 0xa8d5,
-  0x5db6, 0xa8d0, 0x5db2, 0xa8cc, 0x5dad, 0xa8c7, 0x5da9, 0xa8c2,
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-  0x5d94, 0xa8ab, 0x5d8f, 0xa8a7, 0x5d8b, 0xa8a2, 0x5d87, 0xa89e,
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-  0x58af, 0xa3b5, 0x58ab, 0xa3b0, 0x58a6, 0xa3ac, 0x58a2, 0xa3a8,
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-  0x5867, 0xa36f, 0x5862, 0xa36b, 0x585e, 0xa366, 0x5859, 0xa362,
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-  0x5830, 0xa33b, 0x582c, 0xa337, 0x5827, 0xa332, 0x5822, 0xa32e,
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-  0x57b0, 0xa2c2, 0x57ac, 0xa2be, 0x57a7, 0xa2ba, 0x57a3, 0xa2b5,
-  0x579e, 0xa2b1, 0x5799, 0xa2ad, 0x5795, 0xa2a8, 0x5790, 0xa2a4,
-  0x578c, 0xa2a0, 0x5787, 0xa29b, 0x5783, 0xa297, 0x577e, 0xa293,
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-  0x5767, 0xa27d, 0x5762, 0xa279, 0x575e, 0xa275, 0x5759, 0xa271,
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-  0x5730, 0xa24a, 0x572b, 0xa246, 0x5727, 0xa241, 0x5722, 0xa23d,
-  0x571d, 0xa239, 0x5719, 0xa235, 0x5714, 0xa230, 0x5710, 0xa22c,
-  0x570b, 0xa228, 0x5706, 0xa224, 0x5702, 0xa21f, 0x56fd, 0xa21b,
-  0x56f9, 0xa217, 0x56f4, 0xa212, 0x56ef, 0xa20e, 0x56eb, 0xa20a,
-  0x56e6, 0xa206, 0x56e2, 0xa201, 0x56dd, 0xa1fd, 0x56d8, 0xa1f9,
-  0x56d4, 0xa1f5, 0x56cf, 0xa1f0, 0x56ca, 0xa1ec, 0x56c6, 0xa1e8,
-  0x56c1, 0xa1e4, 0x56bd, 0xa1df, 0x56b8, 0xa1db, 0x56b3, 0xa1d7,
-  0x56af, 0xa1d3, 0x56aa, 0xa1ce, 0x56a5, 0xa1ca, 0x56a1, 0xa1c6,
-  0x569c, 0xa1c1, 0x5698, 0xa1bd, 0x5693, 0xa1b9, 0x568e, 0xa1b5,
-  0x568a, 0xa1b0, 0x5685, 0xa1ac, 0x5680, 0xa1a8, 0x567c, 0xa1a4,
-  0x5677, 0xa1a0, 0x5673, 0xa19b, 0x566e, 0xa197, 0x5669, 0xa193,
-  0x5665, 0xa18f, 0x5660, 0xa18a, 0x565b, 0xa186, 0x5657, 0xa182,
-  0x5652, 0xa17e, 0x564d, 0xa179, 0x5649, 0xa175, 0x5644, 0xa171,
-  0x5640, 0xa16d, 0x563b, 0xa168, 0x5636, 0xa164, 0x5632, 0xa160,
-  0x562d, 0xa15c, 0x5628, 0xa157, 0x5624, 0xa153, 0x561f, 0xa14f,
-  0x561a, 0xa14b, 0x5616, 0xa147, 0x5611, 0xa142, 0x560c, 0xa13e,
-  0x5608, 0xa13a, 0x5603, 0xa136, 0x55fe, 0xa131, 0x55fa, 0xa12d,
-  0x55f5, 0xa129, 0x55f0, 0xa125, 0x55ec, 0xa121, 0x55e7, 0xa11c,
-  0x55e3, 0xa118, 0x55de, 0xa114, 0x55d9, 0xa110, 0x55d5, 0xa10b,
-  0x55d0, 0xa107, 0x55cb, 0xa103, 0x55c7, 0xa0ff, 0x55c2, 0xa0fb,
-  0x55bd, 0xa0f6, 0x55b9, 0xa0f2, 0x55b4, 0xa0ee, 0x55af, 0xa0ea,
-  0x55ab, 0xa0e6, 0x55a6, 0xa0e1, 0x55a1, 0xa0dd, 0x559d, 0xa0d9,
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-  0xbaa, 0x8089, 0xba4, 0x8088, 0xb9e, 0x8088, 0xb97, 0x8087,
-  0xb91, 0x8087, 0xb8b, 0x8086, 0xb85, 0x8085, 0xb7e, 0x8085,
-  0xb78, 0x8084, 0xb72, 0x8084, 0xb6c, 0x8083, 0xb65, 0x8083,
-  0xb5f, 0x8082, 0xb59, 0x8082, 0xb53, 0x8081, 0xb4c, 0x8080,
-  0xb46, 0x8080, 0xb40, 0x807f, 0xb3a, 0x807f, 0xb33, 0x807e,
-  0xb2d, 0x807e, 0xb27, 0x807d, 0xb20, 0x807d, 0xb1a, 0x807c,
-  0xb14, 0x807b, 0xb0e, 0x807b, 0xb07, 0x807a, 0xb01, 0x807a,
-  0xafb, 0x8079, 0xaf5, 0x8079, 0xaee, 0x8078, 0xae8, 0x8078,
-  0xae2, 0x8077, 0xadc, 0x8077, 0xad5, 0x8076, 0xacf, 0x8076,
-  0xac9, 0x8075, 0xac3, 0x8075, 0xabc, 0x8074, 0xab6, 0x8073,
-  0xab0, 0x8073, 0xaaa, 0x8072, 0xaa3, 0x8072, 0xa9d, 0x8071,
-  0xa97, 0x8071, 0xa90, 0x8070, 0xa8a, 0x8070, 0xa84, 0x806f,
-  0xa7e, 0x806f, 0xa77, 0x806e, 0xa71, 0x806e, 0xa6b, 0x806d,
-  0xa65, 0x806d, 0xa5e, 0x806c, 0xa58, 0x806c, 0xa52, 0x806b,
-  0xa4c, 0x806b, 0xa45, 0x806a, 0xa3f, 0x806a, 0xa39, 0x8069,
-  0xa33, 0x8069, 0xa2c, 0x8068, 0xa26, 0x8068, 0xa20, 0x8067,
-  0xa19, 0x8067, 0xa13, 0x8066, 0xa0d, 0x8066, 0xa07, 0x8065,
-  0xa00, 0x8065, 0x9fa, 0x8064, 0x9f4, 0x8064, 0x9ee, 0x8063,
-  0x9e7, 0x8063, 0x9e1, 0x8062, 0x9db, 0x8062, 0x9d5, 0x8061,
-  0x9ce, 0x8061, 0x9c8, 0x8060, 0x9c2, 0x8060, 0x9bc, 0x805f,
-  0x9b5, 0x805f, 0x9af, 0x805e, 0x9a9, 0x805e, 0x9a2, 0x805d,
-  0x99c, 0x805d, 0x996, 0x805d, 0x990, 0x805c, 0x989, 0x805c,
-  0x983, 0x805b, 0x97d, 0x805b, 0x977, 0x805a, 0x970, 0x805a,
-  0x96a, 0x8059, 0x964, 0x8059, 0x95e, 0x8058, 0x957, 0x8058,
-  0x951, 0x8057, 0x94b, 0x8057, 0x944, 0x8057, 0x93e, 0x8056,
-  0x938, 0x8056, 0x932, 0x8055, 0x92b, 0x8055, 0x925, 0x8054,
-  0x91f, 0x8054, 0x919, 0x8053, 0x912, 0x8053, 0x90c, 0x8052,
-  0x906, 0x8052, 0x900, 0x8052, 0x8f9, 0x8051, 0x8f3, 0x8051,
-  0x8ed, 0x8050, 0x8e6, 0x8050, 0x8e0, 0x804f, 0x8da, 0x804f,
-  0x8d4, 0x804f, 0x8cd, 0x804e, 0x8c7, 0x804e, 0x8c1, 0x804d,
-  0x8bb, 0x804d, 0x8b4, 0x804c, 0x8ae, 0x804c, 0x8a8, 0x804c,
-  0x8a2, 0x804b, 0x89b, 0x804b, 0x895, 0x804a, 0x88f, 0x804a,
-  0x888, 0x8049, 0x882, 0x8049, 0x87c, 0x8049, 0x876, 0x8048,
-  0x86f, 0x8048, 0x869, 0x8047, 0x863, 0x8047, 0x85d, 0x8047,
-  0x856, 0x8046, 0x850, 0x8046, 0x84a, 0x8045, 0x843, 0x8045,
-  0x83d, 0x8044, 0x837, 0x8044, 0x831, 0x8044, 0x82a, 0x8043,
-  0x824, 0x8043, 0x81e, 0x8042, 0x818, 0x8042, 0x811, 0x8042,
-  0x80b, 0x8041, 0x805, 0x8041, 0x7fe, 0x8040, 0x7f8, 0x8040,
-  0x7f2, 0x8040, 0x7ec, 0x803f, 0x7e5, 0x803f, 0x7df, 0x803f,
-  0x7d9, 0x803e, 0x7d3, 0x803e, 0x7cc, 0x803d, 0x7c6, 0x803d,
-  0x7c0, 0x803d, 0x7ba, 0x803c, 0x7b3, 0x803c, 0x7ad, 0x803b,
-  0x7a7, 0x803b, 0x7a0, 0x803b, 0x79a, 0x803a, 0x794, 0x803a,
-  0x78e, 0x803a, 0x787, 0x8039, 0x781, 0x8039, 0x77b, 0x8039,
-  0x775, 0x8038, 0x76e, 0x8038, 0x768, 0x8037, 0x762, 0x8037,
-  0x75b, 0x8037, 0x755, 0x8036, 0x74f, 0x8036, 0x749, 0x8036,
-  0x742, 0x8035, 0x73c, 0x8035, 0x736, 0x8035, 0x730, 0x8034,
-  0x729, 0x8034, 0x723, 0x8033, 0x71d, 0x8033, 0x716, 0x8033,
-  0x710, 0x8032, 0x70a, 0x8032, 0x704, 0x8032, 0x6fd, 0x8031,
-  0x6f7, 0x8031, 0x6f1, 0x8031, 0x6ea, 0x8030, 0x6e4, 0x8030,
-  0x6de, 0x8030, 0x6d8, 0x802f, 0x6d1, 0x802f, 0x6cb, 0x802f,
-  0x6c5, 0x802e, 0x6bf, 0x802e, 0x6b8, 0x802e, 0x6b2, 0x802d,
-  0x6ac, 0x802d, 0x6a5, 0x802d, 0x69f, 0x802c, 0x699, 0x802c,
-  0x693, 0x802c, 0x68c, 0x802b, 0x686, 0x802b, 0x680, 0x802b,
-  0x67a, 0x802a, 0x673, 0x802a, 0x66d, 0x802a, 0x667, 0x802a,
-  0x660, 0x8029, 0x65a, 0x8029, 0x654, 0x8029, 0x64e, 0x8028,
-  0x647, 0x8028, 0x641, 0x8028, 0x63b, 0x8027, 0x635, 0x8027,
-  0x62e, 0x8027, 0x628, 0x8026, 0x622, 0x8026, 0x61b, 0x8026,
-  0x615, 0x8026, 0x60f, 0x8025, 0x609, 0x8025, 0x602, 0x8025,
-  0x5fc, 0x8024, 0x5f6, 0x8024, 0x5ef, 0x8024, 0x5e9, 0x8023,
-  0x5e3, 0x8023, 0x5dd, 0x8023, 0x5d6, 0x8023, 0x5d0, 0x8022,
-  0x5ca, 0x8022, 0x5c4, 0x8022, 0x5bd, 0x8021, 0x5b7, 0x8021,
-  0x5b1, 0x8021, 0x5aa, 0x8021, 0x5a4, 0x8020, 0x59e, 0x8020,
-  0x598, 0x8020, 0x591, 0x8020, 0x58b, 0x801f, 0x585, 0x801f,
-  0x57f, 0x801f, 0x578, 0x801e, 0x572, 0x801e, 0x56c, 0x801e,
-  0x565, 0x801e, 0x55f, 0x801d, 0x559, 0x801d, 0x553, 0x801d,
-  0x54c, 0x801d, 0x546, 0x801c, 0x540, 0x801c, 0x539, 0x801c,
-  0x533, 0x801c, 0x52d, 0x801b, 0x527, 0x801b, 0x520, 0x801b,
-  0x51a, 0x801b, 0x514, 0x801a, 0x50d, 0x801a, 0x507, 0x801a,
-  0x501, 0x801a, 0x4fb, 0x8019, 0x4f4, 0x8019, 0x4ee, 0x8019,
-  0x4e8, 0x8019, 0x4e2, 0x8018, 0x4db, 0x8018, 0x4d5, 0x8018,
-  0x4cf, 0x8018, 0x4c8, 0x8017, 0x4c2, 0x8017, 0x4bc, 0x8017,
-  0x4b6, 0x8017, 0x4af, 0x8016, 0x4a9, 0x8016, 0x4a3, 0x8016,
-  0x49c, 0x8016, 0x496, 0x8016, 0x490, 0x8015, 0x48a, 0x8015,
-  0x483, 0x8015, 0x47d, 0x8015, 0x477, 0x8014, 0x471, 0x8014,
-  0x46a, 0x8014, 0x464, 0x8014, 0x45e, 0x8014, 0x457, 0x8013,
-  0x451, 0x8013, 0x44b, 0x8013, 0x445, 0x8013, 0x43e, 0x8013,
-  0x438, 0x8012, 0x432, 0x8012, 0x42b, 0x8012, 0x425, 0x8012,
-  0x41f, 0x8012, 0x419, 0x8011, 0x412, 0x8011, 0x40c, 0x8011,
-  0x406, 0x8011, 0x3ff, 0x8011, 0x3f9, 0x8010, 0x3f3, 0x8010,
-  0x3ed, 0x8010, 0x3e6, 0x8010, 0x3e0, 0x8010, 0x3da, 0x800f,
-  0x3d4, 0x800f, 0x3cd, 0x800f, 0x3c7, 0x800f, 0x3c1, 0x800f,
-  0x3ba, 0x800e, 0x3b4, 0x800e, 0x3ae, 0x800e, 0x3a8, 0x800e,
-  0x3a1, 0x800e, 0x39b, 0x800e, 0x395, 0x800d, 0x38e, 0x800d,
-  0x388, 0x800d, 0x382, 0x800d, 0x37c, 0x800d, 0x375, 0x800c,
-  0x36f, 0x800c, 0x369, 0x800c, 0x362, 0x800c, 0x35c, 0x800c,
-  0x356, 0x800c, 0x350, 0x800b, 0x349, 0x800b, 0x343, 0x800b,
-  0x33d, 0x800b, 0x337, 0x800b, 0x330, 0x800b, 0x32a, 0x800b,
-  0x324, 0x800a, 0x31d, 0x800a, 0x317, 0x800a, 0x311, 0x800a,
-  0x30b, 0x800a, 0x304, 0x800a, 0x2fe, 0x8009, 0x2f8, 0x8009,
-  0x2f1, 0x8009, 0x2eb, 0x8009, 0x2e5, 0x8009, 0x2df, 0x8009,
-  0x2d8, 0x8009, 0x2d2, 0x8008, 0x2cc, 0x8008, 0x2c5, 0x8008,
-  0x2bf, 0x8008, 0x2b9, 0x8008, 0x2b3, 0x8008, 0x2ac, 0x8008,
-  0x2a6, 0x8008, 0x2a0, 0x8007, 0x299, 0x8007, 0x293, 0x8007,
-  0x28d, 0x8007, 0x287, 0x8007, 0x280, 0x8007, 0x27a, 0x8007,
-  0x274, 0x8007, 0x26d, 0x8006, 0x267, 0x8006, 0x261, 0x8006,
-  0x25b, 0x8006, 0x254, 0x8006, 0x24e, 0x8006, 0x248, 0x8006,
-  0x242, 0x8006, 0x23b, 0x8005, 0x235, 0x8005, 0x22f, 0x8005,
-  0x228, 0x8005, 0x222, 0x8005, 0x21c, 0x8005, 0x216, 0x8005,
-  0x20f, 0x8005, 0x209, 0x8005, 0x203, 0x8005, 0x1fc, 0x8004,
-  0x1f6, 0x8004, 0x1f0, 0x8004, 0x1ea, 0x8004, 0x1e3, 0x8004,
-  0x1dd, 0x8004, 0x1d7, 0x8004, 0x1d0, 0x8004, 0x1ca, 0x8004,
-  0x1c4, 0x8004, 0x1be, 0x8004, 0x1b7, 0x8003, 0x1b1, 0x8003,
-  0x1ab, 0x8003, 0x1a4, 0x8003, 0x19e, 0x8003, 0x198, 0x8003,
-  0x192, 0x8003, 0x18b, 0x8003, 0x185, 0x8003, 0x17f, 0x8003,
-  0x178, 0x8003, 0x172, 0x8003, 0x16c, 0x8003, 0x166, 0x8002,
-  0x15f, 0x8002, 0x159, 0x8002, 0x153, 0x8002, 0x14d, 0x8002,
-  0x146, 0x8002, 0x140, 0x8002, 0x13a, 0x8002, 0x133, 0x8002,
-  0x12d, 0x8002, 0x127, 0x8002, 0x121, 0x8002, 0x11a, 0x8002,
-  0x114, 0x8002, 0x10e, 0x8002, 0x107, 0x8002, 0x101, 0x8002,
-  0xfb, 0x8001, 0xf5, 0x8001, 0xee, 0x8001, 0xe8, 0x8001,
-  0xe2, 0x8001, 0xdb, 0x8001, 0xd5, 0x8001, 0xcf, 0x8001,
-  0xc9, 0x8001, 0xc2, 0x8001, 0xbc, 0x8001, 0xb6, 0x8001,
-  0xaf, 0x8001, 0xa9, 0x8001, 0xa3, 0x8001, 0x9d, 0x8001,
-  0x96, 0x8001, 0x90, 0x8001, 0x8a, 0x8001, 0x83, 0x8001,
-  0x7d, 0x8001, 0x77, 0x8001, 0x71, 0x8001, 0x6a, 0x8001,
-  0x64, 0x8001, 0x5e, 0x8001, 0x57, 0x8001, 0x51, 0x8001,
-  0x4b, 0x8001, 0x45, 0x8001, 0x3e, 0x8001, 0x38, 0x8001,
-  0x32, 0x8001, 0x2b, 0x8001, 0x25, 0x8001, 0x1f, 0x8001,
-  0x19, 0x8001, 0x12, 0x8001, 0xc, 0x8001, 0x6, 0x8001,
-};
-
-
-/**    
-* \par    
-* cosFactor tables are generated using the formula : 
 cos_factors[n] = 2 * cos((2n+1)*pi/(4*N)) 
    
-* \par    
-* C command to generate the table    
-* 
    
-* for(i = 0; i< N; i++)    
-* {    
-*   cos_factors[i]= 2 * cos((2*i+1)*c/2);    
-* } 
    
-* \par    
-* where N is the number of factors to generate and c is pi/(2*N)    
-* \par    
-* Then converted to q15 format by multiplying with 2^31 and saturated if required.    
-    
-*/
-
-static const q15_t ALIGN4 cos_factorsQ15_128[128] = {
-  0x7fff, 0x7ffa, 0x7ff0, 0x7fe1, 0x7fce, 0x7fb5, 0x7f97, 0x7f75,
-  0x7f4d, 0x7f21, 0x7ef0, 0x7eba, 0x7e7f, 0x7e3f, 0x7dfa, 0x7db0,
-  0x7d62, 0x7d0f, 0x7cb7, 0x7c5a, 0x7bf8, 0x7b92, 0x7b26, 0x7ab6,
-  0x7a42, 0x79c8, 0x794a, 0x78c7, 0x7840, 0x77b4, 0x7723, 0x768e,
-  0x75f4, 0x7555, 0x74b2, 0x740b, 0x735f, 0x72af, 0x71fa, 0x7141,
-  0x7083, 0x6fc1, 0x6efb, 0x6e30, 0x6d62, 0x6c8f, 0x6bb8, 0x6adc,
-  0x69fd, 0x6919, 0x6832, 0x6746, 0x6657, 0x6563, 0x646c, 0x6371,
-  0x6271, 0x616f, 0x6068, 0x5f5e, 0x5e50, 0x5d3e, 0x5c29, 0x5b10,
-  0x59f3, 0x58d4, 0x57b0, 0x568a, 0x5560, 0x5433, 0x5302, 0x51ce,
-  0x5097, 0x4f5e, 0x4e21, 0x4ce1, 0x4b9e, 0x4a58, 0x490f, 0x47c3,
-  0x4675, 0x4524, 0x43d0, 0x427a, 0x4121, 0x3fc5, 0x3e68, 0x3d07,
-  0x3ba5, 0x3a40, 0x38d8, 0x376f, 0x3604, 0x3496, 0x3326, 0x31b5,
-  0x3041, 0x2ecc, 0x2d55, 0x2bdc, 0x2a61, 0x28e5, 0x2767, 0x25e8,
-  0x2467, 0x22e5, 0x2161, 0x1fdc, 0x1e56, 0x1ccf, 0x1b47, 0x19bd,
-  0x1833, 0x16a8, 0x151b, 0x138e, 0x1201, 0x1072, 0xee3, 0xd53,
-  0xbc3, 0xa33, 0x8a2, 0x710, 0x57f, 0x3ed, 0x25b, 0xc9
-};
-
-static const q15_t ALIGN4 cos_factorsQ15_512[512] = {
-  0x7fff, 0x7fff, 0x7fff, 0x7ffe, 0x7ffc, 0x7ffb, 0x7ff9, 0x7ff7,
-  0x7ff4, 0x7ff2, 0x7fee, 0x7feb, 0x7fe7, 0x7fe3, 0x7fdf, 0x7fda,
-  0x7fd6, 0x7fd0, 0x7fcb, 0x7fc5, 0x7fbf, 0x7fb8, 0x7fb1, 0x7faa,
-  0x7fa3, 0x7f9b, 0x7f93, 0x7f8b, 0x7f82, 0x7f79, 0x7f70, 0x7f67,
-  0x7f5d, 0x7f53, 0x7f48, 0x7f3d, 0x7f32, 0x7f27, 0x7f1b, 0x7f0f,
-  0x7f03, 0x7ef6, 0x7ee9, 0x7edc, 0x7ecf, 0x7ec1, 0x7eb3, 0x7ea4,
-  0x7e95, 0x7e86, 0x7e77, 0x7e67, 0x7e57, 0x7e47, 0x7e37, 0x7e26,
-  0x7e14, 0x7e03, 0x7df1, 0x7ddf, 0x7dcd, 0x7dba, 0x7da7, 0x7d94,
-  0x7d80, 0x7d6c, 0x7d58, 0x7d43, 0x7d2f, 0x7d19, 0x7d04, 0x7cee,
-  0x7cd8, 0x7cc2, 0x7cab, 0x7c94, 0x7c7d, 0x7c66, 0x7c4e, 0x7c36,
-  0x7c1d, 0x7c05, 0x7beb, 0x7bd2, 0x7bb9, 0x7b9f, 0x7b84, 0x7b6a,
-  0x7b4f, 0x7b34, 0x7b19, 0x7afd, 0x7ae1, 0x7ac5, 0x7aa8, 0x7a8b,
-  0x7a6e, 0x7a50, 0x7a33, 0x7a15, 0x79f6, 0x79d8, 0x79b9, 0x7999,
-  0x797a, 0x795a, 0x793a, 0x7919, 0x78f9, 0x78d8, 0x78b6, 0x7895,
-  0x7873, 0x7851, 0x782e, 0x780c, 0x77e9, 0x77c5, 0x77a2, 0x777e,
-  0x775a, 0x7735, 0x7710, 0x76eb, 0x76c6, 0x76a0, 0x767b, 0x7654,
-  0x762e, 0x7607, 0x75e0, 0x75b9, 0x7591, 0x7569, 0x7541, 0x7519,
-  0x74f0, 0x74c7, 0x749e, 0x7474, 0x744a, 0x7420, 0x73f6, 0x73cb,
-  0x73a0, 0x7375, 0x7349, 0x731d, 0x72f1, 0x72c5, 0x7298, 0x726b,
-  0x723e, 0x7211, 0x71e3, 0x71b5, 0x7186, 0x7158, 0x7129, 0x70fa,
-  0x70cb, 0x709b, 0x706b, 0x703b, 0x700a, 0x6fda, 0x6fa9, 0x6f77,
-  0x6f46, 0x6f14, 0x6ee2, 0x6eaf, 0x6e7d, 0x6e4a, 0x6e17, 0x6de3,
-  0x6db0, 0x6d7c, 0x6d48, 0x6d13, 0x6cde, 0x6ca9, 0x6c74, 0x6c3f,
-  0x6c09, 0x6bd3, 0x6b9c, 0x6b66, 0x6b2f, 0x6af8, 0x6ac1, 0x6a89,
-  0x6a51, 0x6a19, 0x69e1, 0x69a8, 0x696f, 0x6936, 0x68fd, 0x68c3,
-  0x6889, 0x684f, 0x6815, 0x67da, 0x679f, 0x6764, 0x6729, 0x66ed,
-  0x66b1, 0x6675, 0x6639, 0x65fc, 0x65bf, 0x6582, 0x6545, 0x6507,
-  0x64c9, 0x648b, 0x644d, 0x640e, 0x63cf, 0x6390, 0x6351, 0x6311,
-  0x62d2, 0x6292, 0x6251, 0x6211, 0x61d0, 0x618f, 0x614e, 0x610d,
-  0x60cb, 0x6089, 0x6047, 0x6004, 0x5fc2, 0x5f7f, 0x5f3c, 0x5ef9,
-  0x5eb5, 0x5e71, 0x5e2d, 0x5de9, 0x5da5, 0x5d60, 0x5d1b, 0x5cd6,
-  0x5c91, 0x5c4b, 0x5c06, 0x5bc0, 0x5b79, 0x5b33, 0x5aec, 0x5aa5,
-  0x5a5e, 0x5a17, 0x59d0, 0x5988, 0x5940, 0x58f8, 0x58af, 0x5867,
-  0x581e, 0x57d5, 0x578c, 0x5742, 0x56f9, 0x56af, 0x5665, 0x561a,
-  0x55d0, 0x5585, 0x553a, 0x54ef, 0x54a4, 0x5458, 0x540d, 0x53c1,
-  0x5375, 0x5328, 0x52dc, 0x528f, 0x5242, 0x51f5, 0x51a8, 0x515a,
-  0x510c, 0x50bf, 0x5070, 0x5022, 0x4fd4, 0x4f85, 0x4f36, 0x4ee7,
-  0x4e98, 0x4e48, 0x4df9, 0x4da9, 0x4d59, 0x4d09, 0x4cb8, 0x4c68,
-  0x4c17, 0x4bc6, 0x4b75, 0x4b24, 0x4ad2, 0x4a81, 0x4a2f, 0x49dd,
-  0x498a, 0x4938, 0x48e6, 0x4893, 0x4840, 0x47ed, 0x479a, 0x4746,
-  0x46f3, 0x469f, 0x464b, 0x45f7, 0x45a3, 0x454e, 0x44fa, 0x44a5,
-  0x4450, 0x43fb, 0x43a5, 0x4350, 0x42fa, 0x42a5, 0x424f, 0x41f9,
-  0x41a2, 0x414c, 0x40f6, 0x409f, 0x4048, 0x3ff1, 0x3f9a, 0x3f43,
-  0x3eeb, 0x3e93, 0x3e3c, 0x3de4, 0x3d8c, 0x3d33, 0x3cdb, 0x3c83,
-  0x3c2a, 0x3bd1, 0x3b78, 0x3b1f, 0x3ac6, 0x3a6c, 0x3a13, 0x39b9,
-  0x395f, 0x3906, 0x38ab, 0x3851, 0x37f7, 0x379c, 0x3742, 0x36e7,
-  0x368c, 0x3631, 0x35d6, 0x357b, 0x351f, 0x34c4, 0x3468, 0x340c,
-  0x33b0, 0x3354, 0x32f8, 0x329c, 0x3240, 0x31e3, 0x3186, 0x312a,
-  0x30cd, 0x3070, 0x3013, 0x2fb5, 0x2f58, 0x2efb, 0x2e9d, 0x2e3f,
-  0x2de2, 0x2d84, 0x2d26, 0x2cc8, 0x2c69, 0x2c0b, 0x2bad, 0x2b4e,
-  0x2aef, 0x2a91, 0x2a32, 0x29d3, 0x2974, 0x2915, 0x28b5, 0x2856,
-  0x27f6, 0x2797, 0x2737, 0x26d8, 0x2678, 0x2618, 0x25b8, 0x2558,
-  0x24f7, 0x2497, 0x2437, 0x23d6, 0x2376, 0x2315, 0x22b4, 0x2254,
-  0x21f3, 0x2192, 0x2131, 0x20d0, 0x206e, 0x200d, 0x1fac, 0x1f4a,
-  0x1ee9, 0x1e87, 0x1e25, 0x1dc4, 0x1d62, 0x1d00, 0x1c9e, 0x1c3c,
-  0x1bda, 0x1b78, 0x1b16, 0x1ab3, 0x1a51, 0x19ef, 0x198c, 0x192a,
-  0x18c7, 0x1864, 0x1802, 0x179f, 0x173c, 0x16d9, 0x1676, 0x1613,
-  0x15b0, 0x154d, 0x14ea, 0x1487, 0x1423, 0x13c0, 0x135d, 0x12f9,
-  0x1296, 0x1232, 0x11cf, 0x116b, 0x1108, 0x10a4, 0x1040, 0xfdd,
-  0xf79, 0xf15, 0xeb1, 0xe4d, 0xde9, 0xd85, 0xd21, 0xcbd,
-  0xc59, 0xbf5, 0xb91, 0xb2d, 0xac9, 0xa65, 0xa00, 0x99c,
-  0x938, 0x8d4, 0x86f, 0x80b, 0x7a7, 0x742, 0x6de, 0x67a,
-  0x615, 0x5b1, 0x54c, 0x4e8, 0x483, 0x41f, 0x3ba, 0x356,
-  0x2f1, 0x28d, 0x228, 0x1c4, 0x15f, 0xfb, 0x96, 0x32,
-};
-
-static const q15_t ALIGN4 cos_factorsQ15_2048[2048] = {
-  0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff,
-  0x7fff, 0x7fff, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffd, 0x7ffd,
-  0x7ffd, 0x7ffd, 0x7ffc, 0x7ffc, 0x7ffb, 0x7ffb, 0x7ffb, 0x7ffa,
-  0x7ffa, 0x7ff9, 0x7ff9, 0x7ff8, 0x7ff8, 0x7ff7, 0x7ff7, 0x7ff6,
-  0x7ff5, 0x7ff5, 0x7ff4, 0x7ff3, 0x7ff3, 0x7ff2, 0x7ff1, 0x7ff0,
-  0x7ff0, 0x7fef, 0x7fee, 0x7fed, 0x7fec, 0x7fec, 0x7feb, 0x7fea,
-  0x7fe9, 0x7fe8, 0x7fe7, 0x7fe6, 0x7fe5, 0x7fe4, 0x7fe3, 0x7fe2,
-  0x7fe1, 0x7fe0, 0x7fdf, 0x7fdd, 0x7fdc, 0x7fdb, 0x7fda, 0x7fd9,
-  0x7fd7, 0x7fd6, 0x7fd5, 0x7fd4, 0x7fd2, 0x7fd1, 0x7fd0, 0x7fce,
-  0x7fcd, 0x7fcb, 0x7fca, 0x7fc9, 0x7fc7, 0x7fc6, 0x7fc4, 0x7fc3,
-  0x7fc1, 0x7fc0, 0x7fbe, 0x7fbc, 0x7fbb, 0x7fb9, 0x7fb7, 0x7fb6,
-  0x7fb4, 0x7fb2, 0x7fb1, 0x7faf, 0x7fad, 0x7fab, 0x7fa9, 0x7fa8,
-  0x7fa6, 0x7fa4, 0x7fa2, 0x7fa0, 0x7f9e, 0x7f9c, 0x7f9a, 0x7f98,
-  0x7f96, 0x7f94, 0x7f92, 0x7f90, 0x7f8e, 0x7f8c, 0x7f8a, 0x7f88,
-  0x7f86, 0x7f83, 0x7f81, 0x7f7f, 0x7f7d, 0x7f7b, 0x7f78, 0x7f76,
-  0x7f74, 0x7f71, 0x7f6f, 0x7f6d, 0x7f6a, 0x7f68, 0x7f65, 0x7f63,
-  0x7f60, 0x7f5e, 0x7f5b, 0x7f59, 0x7f56, 0x7f54, 0x7f51, 0x7f4f,
-  0x7f4c, 0x7f49, 0x7f47, 0x7f44, 0x7f41, 0x7f3f, 0x7f3c, 0x7f39,
-  0x7f36, 0x7f34, 0x7f31, 0x7f2e, 0x7f2b, 0x7f28, 0x7f25, 0x7f23,
-  0x7f20, 0x7f1d, 0x7f1a, 0x7f17, 0x7f14, 0x7f11, 0x7f0e, 0x7f0b,
-  0x7f08, 0x7f04, 0x7f01, 0x7efe, 0x7efb, 0x7ef8, 0x7ef5, 0x7ef1,
-  0x7eee, 0x7eeb, 0x7ee8, 0x7ee4, 0x7ee1, 0x7ede, 0x7eda, 0x7ed7,
-  0x7ed4, 0x7ed0, 0x7ecd, 0x7ec9, 0x7ec6, 0x7ec3, 0x7ebf, 0x7ebb,
-  0x7eb8, 0x7eb4, 0x7eb1, 0x7ead, 0x7eaa, 0x7ea6, 0x7ea2, 0x7e9f,
-  0x7e9b, 0x7e97, 0x7e94, 0x7e90, 0x7e8c, 0x7e88, 0x7e84, 0x7e81,
-  0x7e7d, 0x7e79, 0x7e75, 0x7e71, 0x7e6d, 0x7e69, 0x7e65, 0x7e61,
-  0x7e5d, 0x7e59, 0x7e55, 0x7e51, 0x7e4d, 0x7e49, 0x7e45, 0x7e41,
-  0x7e3d, 0x7e39, 0x7e34, 0x7e30, 0x7e2c, 0x7e28, 0x7e24, 0x7e1f,
-  0x7e1b, 0x7e17, 0x7e12, 0x7e0e, 0x7e0a, 0x7e05, 0x7e01, 0x7dfc,
-  0x7df8, 0x7df3, 0x7def, 0x7dea, 0x7de6, 0x7de1, 0x7ddd, 0x7dd8,
-  0x7dd4, 0x7dcf, 0x7dca, 0x7dc6, 0x7dc1, 0x7dbc, 0x7db8, 0x7db3,
-  0x7dae, 0x7da9, 0x7da5, 0x7da0, 0x7d9b, 0x7d96, 0x7d91, 0x7d8c,
-  0x7d87, 0x7d82, 0x7d7e, 0x7d79, 0x7d74, 0x7d6f, 0x7d6a, 0x7d65,
-  0x7d60, 0x7d5a, 0x7d55, 0x7d50, 0x7d4b, 0x7d46, 0x7d41, 0x7d3c,
-  0x7d36, 0x7d31, 0x7d2c, 0x7d27, 0x7d21, 0x7d1c, 0x7d17, 0x7d11,
-  0x7d0c, 0x7d07, 0x7d01, 0x7cfc, 0x7cf6, 0x7cf1, 0x7cec, 0x7ce6,
-  0x7ce1, 0x7cdb, 0x7cd5, 0x7cd0, 0x7cca, 0x7cc5, 0x7cbf, 0x7cb9,
-  0x7cb4, 0x7cae, 0x7ca8, 0x7ca3, 0x7c9d, 0x7c97, 0x7c91, 0x7c8c,
-  0x7c86, 0x7c80, 0x7c7a, 0x7c74, 0x7c6e, 0x7c69, 0x7c63, 0x7c5d,
-  0x7c57, 0x7c51, 0x7c4b, 0x7c45, 0x7c3f, 0x7c39, 0x7c33, 0x7c2d,
-  0x7c26, 0x7c20, 0x7c1a, 0x7c14, 0x7c0e, 0x7c08, 0x7c01, 0x7bfb,
-  0x7bf5, 0x7bef, 0x7be8, 0x7be2, 0x7bdc, 0x7bd5, 0x7bcf, 0x7bc9,
-  0x7bc2, 0x7bbc, 0x7bb5, 0x7baf, 0x7ba8, 0x7ba2, 0x7b9b, 0x7b95,
-  0x7b8e, 0x7b88, 0x7b81, 0x7b7a, 0x7b74, 0x7b6d, 0x7b67, 0x7b60,
-  0x7b59, 0x7b52, 0x7b4c, 0x7b45, 0x7b3e, 0x7b37, 0x7b31, 0x7b2a,
-  0x7b23, 0x7b1c, 0x7b15, 0x7b0e, 0x7b07, 0x7b00, 0x7af9, 0x7af2,
-  0x7aeb, 0x7ae4, 0x7add, 0x7ad6, 0x7acf, 0x7ac8, 0x7ac1, 0x7aba,
-  0x7ab3, 0x7aac, 0x7aa4, 0x7a9d, 0x7a96, 0x7a8f, 0x7a87, 0x7a80,
-  0x7a79, 0x7a72, 0x7a6a, 0x7a63, 0x7a5c, 0x7a54, 0x7a4d, 0x7a45,
-  0x7a3e, 0x7a36, 0x7a2f, 0x7a27, 0x7a20, 0x7a18, 0x7a11, 0x7a09,
-  0x7a02, 0x79fa, 0x79f2, 0x79eb, 0x79e3, 0x79db, 0x79d4, 0x79cc,
-  0x79c4, 0x79bc, 0x79b5, 0x79ad, 0x79a5, 0x799d, 0x7995, 0x798e,
-  0x7986, 0x797e, 0x7976, 0x796e, 0x7966, 0x795e, 0x7956, 0x794e,
-  0x7946, 0x793e, 0x7936, 0x792e, 0x7926, 0x791e, 0x7915, 0x790d,
-  0x7905, 0x78fd, 0x78f5, 0x78ec, 0x78e4, 0x78dc, 0x78d4, 0x78cb,
-  0x78c3, 0x78bb, 0x78b2, 0x78aa, 0x78a2, 0x7899, 0x7891, 0x7888,
-  0x7880, 0x7877, 0x786f, 0x7866, 0x785e, 0x7855, 0x784d, 0x7844,
-  0x783b, 0x7833, 0x782a, 0x7821, 0x7819, 0x7810, 0x7807, 0x77ff,
-  0x77f6, 0x77ed, 0x77e4, 0x77db, 0x77d3, 0x77ca, 0x77c1, 0x77b8,
-  0x77af, 0x77a6, 0x779d, 0x7794, 0x778b, 0x7782, 0x7779, 0x7770,
-  0x7767, 0x775e, 0x7755, 0x774c, 0x7743, 0x773a, 0x7731, 0x7727,
-  0x771e, 0x7715, 0x770c, 0x7703, 0x76f9, 0x76f0, 0x76e7, 0x76dd,
-  0x76d4, 0x76cb, 0x76c1, 0x76b8, 0x76af, 0x76a5, 0x769c, 0x7692,
-  0x7689, 0x767f, 0x7676, 0x766c, 0x7663, 0x7659, 0x7650, 0x7646,
-  0x763c, 0x7633, 0x7629, 0x761f, 0x7616, 0x760c, 0x7602, 0x75f9,
-  0x75ef, 0x75e5, 0x75db, 0x75d1, 0x75c8, 0x75be, 0x75b4, 0x75aa,
-  0x75a0, 0x7596, 0x758c, 0x7582, 0x7578, 0x756e, 0x7564, 0x755a,
-  0x7550, 0x7546, 0x753c, 0x7532, 0x7528, 0x751e, 0x7514, 0x7509,
-  0x74ff, 0x74f5, 0x74eb, 0x74e1, 0x74d6, 0x74cc, 0x74c2, 0x74b7,
-  0x74ad, 0x74a3, 0x7498, 0x748e, 0x7484, 0x7479, 0x746f, 0x7464,
-  0x745a, 0x744f, 0x7445, 0x743a, 0x7430, 0x7425, 0x741b, 0x7410,
-  0x7406, 0x73fb, 0x73f0, 0x73e6, 0x73db, 0x73d0, 0x73c6, 0x73bb,
-  0x73b0, 0x73a5, 0x739b, 0x7390, 0x7385, 0x737a, 0x736f, 0x7364,
-  0x7359, 0x734f, 0x7344, 0x7339, 0x732e, 0x7323, 0x7318, 0x730d,
-  0x7302, 0x72f7, 0x72ec, 0x72e1, 0x72d5, 0x72ca, 0x72bf, 0x72b4,
-  0x72a9, 0x729e, 0x7293, 0x7287, 0x727c, 0x7271, 0x7266, 0x725a,
-  0x724f, 0x7244, 0x7238, 0x722d, 0x7222, 0x7216, 0x720b, 0x71ff,
-  0x71f4, 0x71e9, 0x71dd, 0x71d2, 0x71c6, 0x71bb, 0x71af, 0x71a3,
-  0x7198, 0x718c, 0x7181, 0x7175, 0x7169, 0x715e, 0x7152, 0x7146,
-  0x713b, 0x712f, 0x7123, 0x7117, 0x710c, 0x7100, 0x70f4, 0x70e8,
-  0x70dc, 0x70d1, 0x70c5, 0x70b9, 0x70ad, 0x70a1, 0x7095, 0x7089,
-  0x707d, 0x7071, 0x7065, 0x7059, 0x704d, 0x7041, 0x7035, 0x7029,
-  0x701d, 0x7010, 0x7004, 0x6ff8, 0x6fec, 0x6fe0, 0x6fd3, 0x6fc7,
-  0x6fbb, 0x6faf, 0x6fa2, 0x6f96, 0x6f8a, 0x6f7d, 0x6f71, 0x6f65,
-  0x6f58, 0x6f4c, 0x6f3f, 0x6f33, 0x6f27, 0x6f1a, 0x6f0e, 0x6f01,
-  0x6ef5, 0x6ee8, 0x6edc, 0x6ecf, 0x6ec2, 0x6eb6, 0x6ea9, 0x6e9c,
-  0x6e90, 0x6e83, 0x6e76, 0x6e6a, 0x6e5d, 0x6e50, 0x6e44, 0x6e37,
-  0x6e2a, 0x6e1d, 0x6e10, 0x6e04, 0x6df7, 0x6dea, 0x6ddd, 0x6dd0,
-  0x6dc3, 0x6db6, 0x6da9, 0x6d9c, 0x6d8f, 0x6d82, 0x6d75, 0x6d68,
-  0x6d5b, 0x6d4e, 0x6d41, 0x6d34, 0x6d27, 0x6d1a, 0x6d0c, 0x6cff,
-  0x6cf2, 0x6ce5, 0x6cd8, 0x6cca, 0x6cbd, 0x6cb0, 0x6ca3, 0x6c95,
-  0x6c88, 0x6c7b, 0x6c6d, 0x6c60, 0x6c53, 0x6c45, 0x6c38, 0x6c2a,
-  0x6c1d, 0x6c0f, 0x6c02, 0x6bf5, 0x6be7, 0x6bd9, 0x6bcc, 0x6bbe,
-  0x6bb1, 0x6ba3, 0x6b96, 0x6b88, 0x6b7a, 0x6b6d, 0x6b5f, 0x6b51,
-  0x6b44, 0x6b36, 0x6b28, 0x6b1a, 0x6b0d, 0x6aff, 0x6af1, 0x6ae3,
-  0x6ad5, 0x6ac8, 0x6aba, 0x6aac, 0x6a9e, 0x6a90, 0x6a82, 0x6a74,
-  0x6a66, 0x6a58, 0x6a4a, 0x6a3c, 0x6a2e, 0x6a20, 0x6a12, 0x6a04,
-  0x69f6, 0x69e8, 0x69da, 0x69cb, 0x69bd, 0x69af, 0x69a1, 0x6993,
-  0x6985, 0x6976, 0x6968, 0x695a, 0x694b, 0x693d, 0x692f, 0x6921,
-  0x6912, 0x6904, 0x68f5, 0x68e7, 0x68d9, 0x68ca, 0x68bc, 0x68ad,
-  0x689f, 0x6890, 0x6882, 0x6873, 0x6865, 0x6856, 0x6848, 0x6839,
-  0x682b, 0x681c, 0x680d, 0x67ff, 0x67f0, 0x67e1, 0x67d3, 0x67c4,
-  0x67b5, 0x67a6, 0x6798, 0x6789, 0x677a, 0x676b, 0x675d, 0x674e,
-  0x673f, 0x6730, 0x6721, 0x6712, 0x6703, 0x66f4, 0x66e5, 0x66d6,
-  0x66c8, 0x66b9, 0x66aa, 0x669b, 0x668b, 0x667c, 0x666d, 0x665e,
-  0x664f, 0x6640, 0x6631, 0x6622, 0x6613, 0x6603, 0x65f4, 0x65e5,
-  0x65d6, 0x65c7, 0x65b7, 0x65a8, 0x6599, 0x658a, 0x657a, 0x656b,
-  0x655c, 0x654c, 0x653d, 0x652d, 0x651e, 0x650f, 0x64ff, 0x64f0,
-  0x64e0, 0x64d1, 0x64c1, 0x64b2, 0x64a2, 0x6493, 0x6483, 0x6474,
-  0x6464, 0x6454, 0x6445, 0x6435, 0x6426, 0x6416, 0x6406, 0x63f7,
-  0x63e7, 0x63d7, 0x63c7, 0x63b8, 0x63a8, 0x6398, 0x6388, 0x6378,
-  0x6369, 0x6359, 0x6349, 0x6339, 0x6329, 0x6319, 0x6309, 0x62f9,
-  0x62ea, 0x62da, 0x62ca, 0x62ba, 0x62aa, 0x629a, 0x628a, 0x627a,
-  0x6269, 0x6259, 0x6249, 0x6239, 0x6229, 0x6219, 0x6209, 0x61f9,
-  0x61e8, 0x61d8, 0x61c8, 0x61b8, 0x61a8, 0x6197, 0x6187, 0x6177,
-  0x6166, 0x6156, 0x6146, 0x6135, 0x6125, 0x6115, 0x6104, 0x60f4,
-  0x60e4, 0x60d3, 0x60c3, 0x60b2, 0x60a2, 0x6091, 0x6081, 0x6070,
-  0x6060, 0x604f, 0x603f, 0x602e, 0x601d, 0x600d, 0x5ffc, 0x5fec,
-  0x5fdb, 0x5fca, 0x5fba, 0x5fa9, 0x5f98, 0x5f87, 0x5f77, 0x5f66,
-  0x5f55, 0x5f44, 0x5f34, 0x5f23, 0x5f12, 0x5f01, 0x5ef0, 0x5edf,
-  0x5ecf, 0x5ebe, 0x5ead, 0x5e9c, 0x5e8b, 0x5e7a, 0x5e69, 0x5e58,
-  0x5e47, 0x5e36, 0x5e25, 0x5e14, 0x5e03, 0x5df2, 0x5de1, 0x5dd0,
-  0x5dbf, 0x5dad, 0x5d9c, 0x5d8b, 0x5d7a, 0x5d69, 0x5d58, 0x5d46,
-  0x5d35, 0x5d24, 0x5d13, 0x5d01, 0x5cf0, 0x5cdf, 0x5cce, 0x5cbc,
-  0x5cab, 0x5c9a, 0x5c88, 0x5c77, 0x5c66, 0x5c54, 0x5c43, 0x5c31,
-  0x5c20, 0x5c0e, 0x5bfd, 0x5beb, 0x5bda, 0x5bc8, 0x5bb7, 0x5ba5,
-  0x5b94, 0x5b82, 0x5b71, 0x5b5f, 0x5b4d, 0x5b3c, 0x5b2a, 0x5b19,
-  0x5b07, 0x5af5, 0x5ae4, 0x5ad2, 0x5ac0, 0x5aae, 0x5a9d, 0x5a8b,
-  0x5a79, 0x5a67, 0x5a56, 0x5a44, 0x5a32, 0x5a20, 0x5a0e, 0x59fc,
-  0x59ea, 0x59d9, 0x59c7, 0x59b5, 0x59a3, 0x5991, 0x597f, 0x596d,
-  0x595b, 0x5949, 0x5937, 0x5925, 0x5913, 0x5901, 0x58ef, 0x58dd,
-  0x58cb, 0x58b8, 0x58a6, 0x5894, 0x5882, 0x5870, 0x585e, 0x584b,
-  0x5839, 0x5827, 0x5815, 0x5803, 0x57f0, 0x57de, 0x57cc, 0x57b9,
-  0x57a7, 0x5795, 0x5783, 0x5770, 0x575e, 0x574b, 0x5739, 0x5727,
-  0x5714, 0x5702, 0x56ef, 0x56dd, 0x56ca, 0x56b8, 0x56a5, 0x5693,
-  0x5680, 0x566e, 0x565b, 0x5649, 0x5636, 0x5624, 0x5611, 0x55fe,
-  0x55ec, 0x55d9, 0x55c7, 0x55b4, 0x55a1, 0x558f, 0x557c, 0x5569,
-  0x5556, 0x5544, 0x5531, 0x551e, 0x550b, 0x54f9, 0x54e6, 0x54d3,
-  0x54c0, 0x54ad, 0x549a, 0x5488, 0x5475, 0x5462, 0x544f, 0x543c,
-  0x5429, 0x5416, 0x5403, 0x53f0, 0x53dd, 0x53ca, 0x53b7, 0x53a4,
-  0x5391, 0x537e, 0x536b, 0x5358, 0x5345, 0x5332, 0x531f, 0x530c,
-  0x52f8, 0x52e5, 0x52d2, 0x52bf, 0x52ac, 0x5299, 0x5285, 0x5272,
-  0x525f, 0x524c, 0x5238, 0x5225, 0x5212, 0x51ff, 0x51eb, 0x51d8,
-  0x51c5, 0x51b1, 0x519e, 0x518b, 0x5177, 0x5164, 0x5150, 0x513d,
-  0x512a, 0x5116, 0x5103, 0x50ef, 0x50dc, 0x50c8, 0x50b5, 0x50a1,
-  0x508e, 0x507a, 0x5067, 0x5053, 0x503f, 0x502c, 0x5018, 0x5005,
-  0x4ff1, 0x4fdd, 0x4fca, 0x4fb6, 0x4fa2, 0x4f8f, 0x4f7b, 0x4f67,
-  0x4f54, 0x4f40, 0x4f2c, 0x4f18, 0x4f05, 0x4ef1, 0x4edd, 0x4ec9,
-  0x4eb6, 0x4ea2, 0x4e8e, 0x4e7a, 0x4e66, 0x4e52, 0x4e3e, 0x4e2a,
-  0x4e17, 0x4e03, 0x4def, 0x4ddb, 0x4dc7, 0x4db3, 0x4d9f, 0x4d8b,
-  0x4d77, 0x4d63, 0x4d4f, 0x4d3b, 0x4d27, 0x4d13, 0x4cff, 0x4ceb,
-  0x4cd6, 0x4cc2, 0x4cae, 0x4c9a, 0x4c86, 0x4c72, 0x4c5e, 0x4c49,
-  0x4c35, 0x4c21, 0x4c0d, 0x4bf9, 0x4be4, 0x4bd0, 0x4bbc, 0x4ba8,
-  0x4b93, 0x4b7f, 0x4b6b, 0x4b56, 0x4b42, 0x4b2e, 0x4b19, 0x4b05,
-  0x4af1, 0x4adc, 0x4ac8, 0x4ab4, 0x4a9f, 0x4a8b, 0x4a76, 0x4a62,
-  0x4a4d, 0x4a39, 0x4a24, 0x4a10, 0x49fb, 0x49e7, 0x49d2, 0x49be,
-  0x49a9, 0x4995, 0x4980, 0x496c, 0x4957, 0x4942, 0x492e, 0x4919,
-  0x4905, 0x48f0, 0x48db, 0x48c7, 0x48b2, 0x489d, 0x4888, 0x4874,
-  0x485f, 0x484a, 0x4836, 0x4821, 0x480c, 0x47f7, 0x47e2, 0x47ce,
-  0x47b9, 0x47a4, 0x478f, 0x477a, 0x4765, 0x4751, 0x473c, 0x4727,
-  0x4712, 0x46fd, 0x46e8, 0x46d3, 0x46be, 0x46a9, 0x4694, 0x467f,
-  0x466a, 0x4655, 0x4640, 0x462b, 0x4616, 0x4601, 0x45ec, 0x45d7,
-  0x45c2, 0x45ad, 0x4598, 0x4583, 0x456e, 0x4559, 0x4544, 0x452e,
-  0x4519, 0x4504, 0x44ef, 0x44da, 0x44c5, 0x44af, 0x449a, 0x4485,
-  0x4470, 0x445a, 0x4445, 0x4430, 0x441b, 0x4405, 0x43f0, 0x43db,
-  0x43c5, 0x43b0, 0x439b, 0x4385, 0x4370, 0x435b, 0x4345, 0x4330,
-  0x431b, 0x4305, 0x42f0, 0x42da, 0x42c5, 0x42af, 0x429a, 0x4284,
-  0x426f, 0x425a, 0x4244, 0x422f, 0x4219, 0x4203, 0x41ee, 0x41d8,
-  0x41c3, 0x41ad, 0x4198, 0x4182, 0x416d, 0x4157, 0x4141, 0x412c,
-  0x4116, 0x4100, 0x40eb, 0x40d5, 0x40bf, 0x40aa, 0x4094, 0x407e,
-  0x4069, 0x4053, 0x403d, 0x4027, 0x4012, 0x3ffc, 0x3fe6, 0x3fd0,
-  0x3fbb, 0x3fa5, 0x3f8f, 0x3f79, 0x3f63, 0x3f4d, 0x3f38, 0x3f22,
-  0x3f0c, 0x3ef6, 0x3ee0, 0x3eca, 0x3eb4, 0x3e9e, 0x3e88, 0x3e73,
-  0x3e5d, 0x3e47, 0x3e31, 0x3e1b, 0x3e05, 0x3def, 0x3dd9, 0x3dc3,
-  0x3dad, 0x3d97, 0x3d81, 0x3d6b, 0x3d55, 0x3d3e, 0x3d28, 0x3d12,
-  0x3cfc, 0x3ce6, 0x3cd0, 0x3cba, 0x3ca4, 0x3c8e, 0x3c77, 0x3c61,
-  0x3c4b, 0x3c35, 0x3c1f, 0x3c09, 0x3bf2, 0x3bdc, 0x3bc6, 0x3bb0,
-  0x3b99, 0x3b83, 0x3b6d, 0x3b57, 0x3b40, 0x3b2a, 0x3b14, 0x3afe,
-  0x3ae7, 0x3ad1, 0x3abb, 0x3aa4, 0x3a8e, 0x3a78, 0x3a61, 0x3a4b,
-  0x3a34, 0x3a1e, 0x3a08, 0x39f1, 0x39db, 0x39c4, 0x39ae, 0x3998,
-  0x3981, 0x396b, 0x3954, 0x393e, 0x3927, 0x3911, 0x38fa, 0x38e4,
-  0x38cd, 0x38b7, 0x38a0, 0x388a, 0x3873, 0x385d, 0x3846, 0x382f,
-  0x3819, 0x3802, 0x37ec, 0x37d5, 0x37be, 0x37a8, 0x3791, 0x377a,
-  0x3764, 0x374d, 0x3736, 0x3720, 0x3709, 0x36f2, 0x36dc, 0x36c5,
-  0x36ae, 0x3698, 0x3681, 0x366a, 0x3653, 0x363d, 0x3626, 0x360f,
-  0x35f8, 0x35e1, 0x35cb, 0x35b4, 0x359d, 0x3586, 0x356f, 0x3558,
-  0x3542, 0x352b, 0x3514, 0x34fd, 0x34e6, 0x34cf, 0x34b8, 0x34a1,
-  0x348b, 0x3474, 0x345d, 0x3446, 0x342f, 0x3418, 0x3401, 0x33ea,
-  0x33d3, 0x33bc, 0x33a5, 0x338e, 0x3377, 0x3360, 0x3349, 0x3332,
-  0x331b, 0x3304, 0x32ed, 0x32d6, 0x32bf, 0x32a8, 0x3290, 0x3279,
-  0x3262, 0x324b, 0x3234, 0x321d, 0x3206, 0x31ef, 0x31d8, 0x31c0,
-  0x31a9, 0x3192, 0x317b, 0x3164, 0x314c, 0x3135, 0x311e, 0x3107,
-  0x30f0, 0x30d8, 0x30c1, 0x30aa, 0x3093, 0x307b, 0x3064, 0x304d,
-  0x3036, 0x301e, 0x3007, 0x2ff0, 0x2fd8, 0x2fc1, 0x2faa, 0x2f92,
-  0x2f7b, 0x2f64, 0x2f4c, 0x2f35, 0x2f1e, 0x2f06, 0x2eef, 0x2ed8,
-  0x2ec0, 0x2ea9, 0x2e91, 0x2e7a, 0x2e63, 0x2e4b, 0x2e34, 0x2e1c,
-  0x2e05, 0x2ded, 0x2dd6, 0x2dbe, 0x2da7, 0x2d8f, 0x2d78, 0x2d60,
-  0x2d49, 0x2d31, 0x2d1a, 0x2d02, 0x2ceb, 0x2cd3, 0x2cbc, 0x2ca4,
-  0x2c8d, 0x2c75, 0x2c5e, 0x2c46, 0x2c2e, 0x2c17, 0x2bff, 0x2be8,
-  0x2bd0, 0x2bb8, 0x2ba1, 0x2b89, 0x2b71, 0x2b5a, 0x2b42, 0x2b2b,
-  0x2b13, 0x2afb, 0x2ae4, 0x2acc, 0x2ab4, 0x2a9c, 0x2a85, 0x2a6d,
-  0x2a55, 0x2a3e, 0x2a26, 0x2a0e, 0x29f6, 0x29df, 0x29c7, 0x29af,
-  0x2997, 0x2980, 0x2968, 0x2950, 0x2938, 0x2920, 0x2909, 0x28f1,
-  0x28d9, 0x28c1, 0x28a9, 0x2892, 0x287a, 0x2862, 0x284a, 0x2832,
-  0x281a, 0x2802, 0x27eb, 0x27d3, 0x27bb, 0x27a3, 0x278b, 0x2773,
-  0x275b, 0x2743, 0x272b, 0x2713, 0x26fb, 0x26e4, 0x26cc, 0x26b4,
-  0x269c, 0x2684, 0x266c, 0x2654, 0x263c, 0x2624, 0x260c, 0x25f4,
-  0x25dc, 0x25c4, 0x25ac, 0x2594, 0x257c, 0x2564, 0x254c, 0x2534,
-  0x251c, 0x2503, 0x24eb, 0x24d3, 0x24bb, 0x24a3, 0x248b, 0x2473,
-  0x245b, 0x2443, 0x242b, 0x2413, 0x23fa, 0x23e2, 0x23ca, 0x23b2,
-  0x239a, 0x2382, 0x236a, 0x2352, 0x2339, 0x2321, 0x2309, 0x22f1,
-  0x22d9, 0x22c0, 0x22a8, 0x2290, 0x2278, 0x2260, 0x2247, 0x222f,
-  0x2217, 0x21ff, 0x21e7, 0x21ce, 0x21b6, 0x219e, 0x2186, 0x216d,
-  0x2155, 0x213d, 0x2125, 0x210c, 0x20f4, 0x20dc, 0x20c3, 0x20ab,
-  0x2093, 0x207a, 0x2062, 0x204a, 0x2032, 0x2019, 0x2001, 0x1fe9,
-  0x1fd0, 0x1fb8, 0x1f9f, 0x1f87, 0x1f6f, 0x1f56, 0x1f3e, 0x1f26,
-  0x1f0d, 0x1ef5, 0x1edd, 0x1ec4, 0x1eac, 0x1e93, 0x1e7b, 0x1e62,
-  0x1e4a, 0x1e32, 0x1e19, 0x1e01, 0x1de8, 0x1dd0, 0x1db7, 0x1d9f,
-  0x1d87, 0x1d6e, 0x1d56, 0x1d3d, 0x1d25, 0x1d0c, 0x1cf4, 0x1cdb,
-  0x1cc3, 0x1caa, 0x1c92, 0x1c79, 0x1c61, 0x1c48, 0x1c30, 0x1c17,
-  0x1bff, 0x1be6, 0x1bce, 0x1bb5, 0x1b9d, 0x1b84, 0x1b6c, 0x1b53,
-  0x1b3a, 0x1b22, 0x1b09, 0x1af1, 0x1ad8, 0x1ac0, 0x1aa7, 0x1a8e,
-  0x1a76, 0x1a5d, 0x1a45, 0x1a2c, 0x1a13, 0x19fb, 0x19e2, 0x19ca,
-  0x19b1, 0x1998, 0x1980, 0x1967, 0x194e, 0x1936, 0x191d, 0x1905,
-  0x18ec, 0x18d3, 0x18bb, 0x18a2, 0x1889, 0x1871, 0x1858, 0x183f,
-  0x1827, 0x180e, 0x17f5, 0x17dd, 0x17c4, 0x17ab, 0x1792, 0x177a,
-  0x1761, 0x1748, 0x1730, 0x1717, 0x16fe, 0x16e5, 0x16cd, 0x16b4,
-  0x169b, 0x1682, 0x166a, 0x1651, 0x1638, 0x161f, 0x1607, 0x15ee,
-  0x15d5, 0x15bc, 0x15a4, 0x158b, 0x1572, 0x1559, 0x1541, 0x1528,
-  0x150f, 0x14f6, 0x14dd, 0x14c5, 0x14ac, 0x1493, 0x147a, 0x1461,
-  0x1449, 0x1430, 0x1417, 0x13fe, 0x13e5, 0x13cc, 0x13b4, 0x139b,
-  0x1382, 0x1369, 0x1350, 0x1337, 0x131f, 0x1306, 0x12ed, 0x12d4,
-  0x12bb, 0x12a2, 0x1289, 0x1271, 0x1258, 0x123f, 0x1226, 0x120d,
-  0x11f4, 0x11db, 0x11c2, 0x11a9, 0x1191, 0x1178, 0x115f, 0x1146,
-  0x112d, 0x1114, 0x10fb, 0x10e2, 0x10c9, 0x10b0, 0x1098, 0x107f,
-  0x1066, 0x104d, 0x1034, 0x101b, 0x1002, 0xfe9, 0xfd0, 0xfb7,
-  0xf9e, 0xf85, 0xf6c, 0xf53, 0xf3a, 0xf21, 0xf08, 0xef0,
-  0xed7, 0xebe, 0xea5, 0xe8c, 0xe73, 0xe5a, 0xe41, 0xe28,
-  0xe0f, 0xdf6, 0xddd, 0xdc4, 0xdab, 0xd92, 0xd79, 0xd60,
-  0xd47, 0xd2e, 0xd15, 0xcfc, 0xce3, 0xcca, 0xcb1, 0xc98,
-  0xc7f, 0xc66, 0xc4d, 0xc34, 0xc1b, 0xc02, 0xbe9, 0xbd0,
-  0xbb7, 0xb9e, 0xb85, 0xb6c, 0xb53, 0xb3a, 0xb20, 0xb07,
-  0xaee, 0xad5, 0xabc, 0xaa3, 0xa8a, 0xa71, 0xa58, 0xa3f,
-  0xa26, 0xa0d, 0x9f4, 0x9db, 0x9c2, 0x9a9, 0x990, 0x977,
-  0x95e, 0x944, 0x92b, 0x912, 0x8f9, 0x8e0, 0x8c7, 0x8ae,
-  0x895, 0x87c, 0x863, 0x84a, 0x831, 0x818, 0x7fe, 0x7e5,
-  0x7cc, 0x7b3, 0x79a, 0x781, 0x768, 0x74f, 0x736, 0x71d,
-  0x704, 0x6ea, 0x6d1, 0x6b8, 0x69f, 0x686, 0x66d, 0x654,
-  0x63b, 0x622, 0x609, 0x5ef, 0x5d6, 0x5bd, 0x5a4, 0x58b,
-  0x572, 0x559, 0x540, 0x527, 0x50d, 0x4f4, 0x4db, 0x4c2,
-  0x4a9, 0x490, 0x477, 0x45e, 0x445, 0x42b, 0x412, 0x3f9,
-  0x3e0, 0x3c7, 0x3ae, 0x395, 0x37c, 0x362, 0x349, 0x330,
-  0x317, 0x2fe, 0x2e5, 0x2cc, 0x2b3, 0x299, 0x280, 0x267,
-  0x24e, 0x235, 0x21c, 0x203, 0x1ea, 0x1d0, 0x1b7, 0x19e,
-  0x185, 0x16c, 0x153, 0x13a, 0x121, 0x107, 0xee, 0xd5,
-  0xbc, 0xa3, 0x8a, 0x71, 0x57, 0x3e, 0x25, 0xc,
-
-};
-
-static const q15_t ALIGN4 cos_factorsQ15_8192[8192] = {
-  0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff,
-  0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff,
-  0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff,
-  0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff,
-  0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff,
-  0x7fff, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe,
-  0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe,
-  0x7ffe, 0x7ffe, 0x7ffd, 0x7ffd, 0x7ffd, 0x7ffd, 0x7ffd, 0x7ffd,
-  0x7ffd, 0x7ffd, 0x7ffd, 0x7ffd, 0x7ffd, 0x7ffd, 0x7ffd, 0x7ffc,
-  0x7ffc, 0x7ffc, 0x7ffc, 0x7ffc, 0x7ffc, 0x7ffc, 0x7ffc, 0x7ffc,
-  0x7ffc, 0x7ffb, 0x7ffb, 0x7ffb, 0x7ffb, 0x7ffb, 0x7ffb, 0x7ffb,
-  0x7ffb, 0x7ffb, 0x7ffb, 0x7ffa, 0x7ffa, 0x7ffa, 0x7ffa, 0x7ffa,
-  0x7ffa, 0x7ffa, 0x7ffa, 0x7ffa, 0x7ff9, 0x7ff9, 0x7ff9, 0x7ff9,
-  0x7ff9, 0x7ff9, 0x7ff9, 0x7ff9, 0x7ff8, 0x7ff8, 0x7ff8, 0x7ff8,
-  0x7ff8, 0x7ff8, 0x7ff8, 0x7ff7, 0x7ff7, 0x7ff7, 0x7ff7, 0x7ff7,
-  0x7ff7, 0x7ff7, 0x7ff6, 0x7ff6, 0x7ff6, 0x7ff6, 0x7ff6, 0x7ff6,
-  0x7ff6, 0x7ff5, 0x7ff5, 0x7ff5, 0x7ff5, 0x7ff5, 0x7ff5, 0x7ff4,
-  0x7ff4, 0x7ff4, 0x7ff4, 0x7ff4, 0x7ff4, 0x7ff3, 0x7ff3, 0x7ff3,
-  0x7ff3, 0x7ff3, 0x7ff3, 0x7ff2, 0x7ff2, 0x7ff2, 0x7ff2, 0x7ff2,
-  0x7ff1, 0x7ff1, 0x7ff1, 0x7ff1, 0x7ff1, 0x7ff1, 0x7ff0, 0x7ff0,
-  0x7ff0, 0x7ff0, 0x7ff0, 0x7fef, 0x7fef, 0x7fef, 0x7fef, 0x7fef,
-  0x7fee, 0x7fee, 0x7fee, 0x7fee, 0x7fee, 0x7fed, 0x7fed, 0x7fed,
-  0x7fed, 0x7fed, 0x7fec, 0x7fec, 0x7fec, 0x7fec, 0x7feb, 0x7feb,
-  0x7feb, 0x7feb, 0x7feb, 0x7fea, 0x7fea, 0x7fea, 0x7fea, 0x7fe9,
-  0x7fe9, 0x7fe9, 0x7fe9, 0x7fe8, 0x7fe8, 0x7fe8, 0x7fe8, 0x7fe8,
-  0x7fe7, 0x7fe7, 0x7fe7, 0x7fe7, 0x7fe6, 0x7fe6, 0x7fe6, 0x7fe6,
-  0x7fe5, 0x7fe5, 0x7fe5, 0x7fe5, 0x7fe4, 0x7fe4, 0x7fe4, 0x7fe4,
-  0x7fe3, 0x7fe3, 0x7fe3, 0x7fe2, 0x7fe2, 0x7fe2, 0x7fe2, 0x7fe1,
-  0x7fe1, 0x7fe1, 0x7fe1, 0x7fe0, 0x7fe0, 0x7fe0, 0x7fdf, 0x7fdf,
-  0x7fdf, 0x7fdf, 0x7fde, 0x7fde, 0x7fde, 0x7fde, 0x7fdd, 0x7fdd,
-  0x7fdd, 0x7fdc, 0x7fdc, 0x7fdc, 0x7fdb, 0x7fdb, 0x7fdb, 0x7fdb,
-  0x7fda, 0x7fda, 0x7fda, 0x7fd9, 0x7fd9, 0x7fd9, 0x7fd8, 0x7fd8,
-  0x7fd8, 0x7fd8, 0x7fd7, 0x7fd7, 0x7fd7, 0x7fd6, 0x7fd6, 0x7fd6,
-  0x7fd5, 0x7fd5, 0x7fd5, 0x7fd4, 0x7fd4, 0x7fd4, 0x7fd3, 0x7fd3,
-  0x7fd3, 0x7fd2, 0x7fd2, 0x7fd2, 0x7fd1, 0x7fd1, 0x7fd1, 0x7fd0,
-  0x7fd0, 0x7fd0, 0x7fcf, 0x7fcf, 0x7fcf, 0x7fce, 0x7fce, 0x7fce,
-  0x7fcd, 0x7fcd, 0x7fcd, 0x7fcc, 0x7fcc, 0x7fcc, 0x7fcb, 0x7fcb,
-  0x7fcb, 0x7fca, 0x7fca, 0x7fc9, 0x7fc9, 0x7fc9, 0x7fc8, 0x7fc8,
-  0x7fc8, 0x7fc7, 0x7fc7, 0x7fc7, 0x7fc6, 0x7fc6, 0x7fc5, 0x7fc5,
-  0x7fc5, 0x7fc4, 0x7fc4, 0x7fc4, 0x7fc3, 0x7fc3, 0x7fc2, 0x7fc2,
-  0x7fc2, 0x7fc1, 0x7fc1, 0x7fc0, 0x7fc0, 0x7fc0, 0x7fbf, 0x7fbf,
-  0x7fbf, 0x7fbe, 0x7fbe, 0x7fbd, 0x7fbd, 0x7fbd, 0x7fbc, 0x7fbc,
-  0x7fbb, 0x7fbb, 0x7fbb, 0x7fba, 0x7fba, 0x7fb9, 0x7fb9, 0x7fb8,
-  0x7fb8, 0x7fb8, 0x7fb7, 0x7fb7, 0x7fb6, 0x7fb6, 0x7fb6, 0x7fb5,
-  0x7fb5, 0x7fb4, 0x7fb4, 0x7fb3, 0x7fb3, 0x7fb3, 0x7fb2, 0x7fb2,
-  0x7fb1, 0x7fb1, 0x7fb0, 0x7fb0, 0x7faf, 0x7faf, 0x7faf, 0x7fae,
-  0x7fae, 0x7fad, 0x7fad, 0x7fac, 0x7fac, 0x7fac, 0x7fab, 0x7fab,
-  0x7faa, 0x7faa, 0x7fa9, 0x7fa9, 0x7fa8, 0x7fa8, 0x7fa7, 0x7fa7,
-  0x7fa6, 0x7fa6, 0x7fa6, 0x7fa5, 0x7fa5, 0x7fa4, 0x7fa4, 0x7fa3,
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-  0x1f78, 0x1f72, 0x1f6c, 0x1f66, 0x1f60, 0x1f59, 0x1f53, 0x1f4d,
-  0x1f47, 0x1f41, 0x1f3b, 0x1f35, 0x1f2f, 0x1f29, 0x1f23, 0x1f1d,
-  0x1f16, 0x1f10, 0x1f0a, 0x1f04, 0x1efe, 0x1ef8, 0x1ef2, 0x1eec,
-  0x1ee6, 0x1ee0, 0x1ed9, 0x1ed3, 0x1ecd, 0x1ec7, 0x1ec1, 0x1ebb,
-  0x1eb5, 0x1eaf, 0x1ea9, 0x1ea3, 0x1e9c, 0x1e96, 0x1e90, 0x1e8a,
-  0x1e84, 0x1e7e, 0x1e78, 0x1e72, 0x1e6c, 0x1e66, 0x1e5f, 0x1e59,
-  0x1e53, 0x1e4d, 0x1e47, 0x1e41, 0x1e3b, 0x1e35, 0x1e2f, 0x1e29,
-  0x1e22, 0x1e1c, 0x1e16, 0x1e10, 0x1e0a, 0x1e04, 0x1dfe, 0x1df8,
-  0x1df2, 0x1deb, 0x1de5, 0x1ddf, 0x1dd9, 0x1dd3, 0x1dcd, 0x1dc7,
-  0x1dc1, 0x1dbb, 0x1db4, 0x1dae, 0x1da8, 0x1da2, 0x1d9c, 0x1d96,
-  0x1d90, 0x1d8a, 0x1d84, 0x1d7d, 0x1d77, 0x1d71, 0x1d6b, 0x1d65,
-  0x1d5f, 0x1d59, 0x1d53, 0x1d4c, 0x1d46, 0x1d40, 0x1d3a, 0x1d34,
-  0x1d2e, 0x1d28, 0x1d22, 0x1d1c, 0x1d15, 0x1d0f, 0x1d09, 0x1d03,
-  0x1cfd, 0x1cf7, 0x1cf1, 0x1ceb, 0x1ce4, 0x1cde, 0x1cd8, 0x1cd2,
-  0x1ccc, 0x1cc6, 0x1cc0, 0x1cba, 0x1cb3, 0x1cad, 0x1ca7, 0x1ca1,
-  0x1c9b, 0x1c95, 0x1c8f, 0x1c89, 0x1c83, 0x1c7c, 0x1c76, 0x1c70,
-  0x1c6a, 0x1c64, 0x1c5e, 0x1c58, 0x1c51, 0x1c4b, 0x1c45, 0x1c3f,
-  0x1c39, 0x1c33, 0x1c2d, 0x1c27, 0x1c20, 0x1c1a, 0x1c14, 0x1c0e,
-  0x1c08, 0x1c02, 0x1bfc, 0x1bf6, 0x1bef, 0x1be9, 0x1be3, 0x1bdd,
-  0x1bd7, 0x1bd1, 0x1bcb, 0x1bc4, 0x1bbe, 0x1bb8, 0x1bb2, 0x1bac,
-  0x1ba6, 0x1ba0, 0x1b9a, 0x1b93, 0x1b8d, 0x1b87, 0x1b81, 0x1b7b,
-  0x1b75, 0x1b6f, 0x1b68, 0x1b62, 0x1b5c, 0x1b56, 0x1b50, 0x1b4a,
-  0x1b44, 0x1b3d, 0x1b37, 0x1b31, 0x1b2b, 0x1b25, 0x1b1f, 0x1b19,
-  0x1b13, 0x1b0c, 0x1b06, 0x1b00, 0x1afa, 0x1af4, 0x1aee, 0x1ae8,
-  0x1ae1, 0x1adb, 0x1ad5, 0x1acf, 0x1ac9, 0x1ac3, 0x1abd, 0x1ab6,
-  0x1ab0, 0x1aaa, 0x1aa4, 0x1a9e, 0x1a98, 0x1a91, 0x1a8b, 0x1a85,
-  0x1a7f, 0x1a79, 0x1a73, 0x1a6d, 0x1a66, 0x1a60, 0x1a5a, 0x1a54,
-  0x1a4e, 0x1a48, 0x1a42, 0x1a3b, 0x1a35, 0x1a2f, 0x1a29, 0x1a23,
-  0x1a1d, 0x1a17, 0x1a10, 0x1a0a, 0x1a04, 0x19fe, 0x19f8, 0x19f2,
-  0x19eb, 0x19e5, 0x19df, 0x19d9, 0x19d3, 0x19cd, 0x19c7, 0x19c0,
-  0x19ba, 0x19b4, 0x19ae, 0x19a8, 0x19a2, 0x199b, 0x1995, 0x198f,
-  0x1989, 0x1983, 0x197d, 0x1977, 0x1970, 0x196a, 0x1964, 0x195e,
-  0x1958, 0x1952, 0x194b, 0x1945, 0x193f, 0x1939, 0x1933, 0x192d,
-  0x1926, 0x1920, 0x191a, 0x1914, 0x190e, 0x1908, 0x1901, 0x18fb,
-  0x18f5, 0x18ef, 0x18e9, 0x18e3, 0x18dc, 0x18d6, 0x18d0, 0x18ca,
-  0x18c4, 0x18be, 0x18b8, 0x18b1, 0x18ab, 0x18a5, 0x189f, 0x1899,
-  0x1893, 0x188c, 0x1886, 0x1880, 0x187a, 0x1874, 0x186e, 0x1867,
-  0x1861, 0x185b, 0x1855, 0x184f, 0x1848, 0x1842, 0x183c, 0x1836,
-  0x1830, 0x182a, 0x1823, 0x181d, 0x1817, 0x1811, 0x180b, 0x1805,
-  0x17fe, 0x17f8, 0x17f2, 0x17ec, 0x17e6, 0x17e0, 0x17d9, 0x17d3,
-  0x17cd, 0x17c7, 0x17c1, 0x17bb, 0x17b4, 0x17ae, 0x17a8, 0x17a2,
-  0x179c, 0x1795, 0x178f, 0x1789, 0x1783, 0x177d, 0x1777, 0x1770,
-  0x176a, 0x1764, 0x175e, 0x1758, 0x1752, 0x174b, 0x1745, 0x173f,
-  0x1739, 0x1733, 0x172c, 0x1726, 0x1720, 0x171a, 0x1714, 0x170e,
-  0x1707, 0x1701, 0x16fb, 0x16f5, 0x16ef, 0x16e8, 0x16e2, 0x16dc,
-  0x16d6, 0x16d0, 0x16ca, 0x16c3, 0x16bd, 0x16b7, 0x16b1, 0x16ab,
-  0x16a4, 0x169e, 0x1698, 0x1692, 0x168c, 0x1686, 0x167f, 0x1679,
-  0x1673, 0x166d, 0x1667, 0x1660, 0x165a, 0x1654, 0x164e, 0x1648,
-  0x1642, 0x163b, 0x1635, 0x162f, 0x1629, 0x1623, 0x161c, 0x1616,
-  0x1610, 0x160a, 0x1604, 0x15fd, 0x15f7, 0x15f1, 0x15eb, 0x15e5,
-  0x15de, 0x15d8, 0x15d2, 0x15cc, 0x15c6, 0x15c0, 0x15b9, 0x15b3,
-  0x15ad, 0x15a7, 0x15a1, 0x159a, 0x1594, 0x158e, 0x1588, 0x1582,
-  0x157b, 0x1575, 0x156f, 0x1569, 0x1563, 0x155c, 0x1556, 0x1550,
-  0x154a, 0x1544, 0x153d, 0x1537, 0x1531, 0x152b, 0x1525, 0x151e,
-  0x1518, 0x1512, 0x150c, 0x1506, 0x14ff, 0x14f9, 0x14f3, 0x14ed,
-  0x14e7, 0x14e0, 0x14da, 0x14d4, 0x14ce, 0x14c8, 0x14c1, 0x14bb,
-  0x14b5, 0x14af, 0x14a9, 0x14a2, 0x149c, 0x1496, 0x1490, 0x148a,
-  0x1483, 0x147d, 0x1477, 0x1471, 0x146b, 0x1464, 0x145e, 0x1458,
-  0x1452, 0x144c, 0x1445, 0x143f, 0x1439, 0x1433, 0x142d, 0x1426,
-  0x1420, 0x141a, 0x1414, 0x140e, 0x1407, 0x1401, 0x13fb, 0x13f5,
-  0x13ef, 0x13e8, 0x13e2, 0x13dc, 0x13d6, 0x13d0, 0x13c9, 0x13c3,
-  0x13bd, 0x13b7, 0x13b1, 0x13aa, 0x13a4, 0x139e, 0x1398, 0x1391,
-  0x138b, 0x1385, 0x137f, 0x1379, 0x1372, 0x136c, 0x1366, 0x1360,
-  0x135a, 0x1353, 0x134d, 0x1347, 0x1341, 0x133b, 0x1334, 0x132e,
-  0x1328, 0x1322, 0x131b, 0x1315, 0x130f, 0x1309, 0x1303, 0x12fc,
-  0x12f6, 0x12f0, 0x12ea, 0x12e4, 0x12dd, 0x12d7, 0x12d1, 0x12cb,
-  0x12c4, 0x12be, 0x12b8, 0x12b2, 0x12ac, 0x12a5, 0x129f, 0x1299,
-  0x1293, 0x128d, 0x1286, 0x1280, 0x127a, 0x1274, 0x126d, 0x1267,
-  0x1261, 0x125b, 0x1255, 0x124e, 0x1248, 0x1242, 0x123c, 0x1235,
-  0x122f, 0x1229, 0x1223, 0x121d, 0x1216, 0x1210, 0x120a, 0x1204,
-  0x11fd, 0x11f7, 0x11f1, 0x11eb, 0x11e5, 0x11de, 0x11d8, 0x11d2,
-  0x11cc, 0x11c5, 0x11bf, 0x11b9, 0x11b3, 0x11ad, 0x11a6, 0x11a0,
-  0x119a, 0x1194, 0x118d, 0x1187, 0x1181, 0x117b, 0x1175, 0x116e,
-  0x1168, 0x1162, 0x115c, 0x1155, 0x114f, 0x1149, 0x1143, 0x113d,
-  0x1136, 0x1130, 0x112a, 0x1124, 0x111d, 0x1117, 0x1111, 0x110b,
-  0x1105, 0x10fe, 0x10f8, 0x10f2, 0x10ec, 0x10e5, 0x10df, 0x10d9,
-  0x10d3, 0x10cc, 0x10c6, 0x10c0, 0x10ba, 0x10b4, 0x10ad, 0x10a7,
-  0x10a1, 0x109b, 0x1094, 0x108e, 0x1088, 0x1082, 0x107b, 0x1075,
-  0x106f, 0x1069, 0x1063, 0x105c, 0x1056, 0x1050, 0x104a, 0x1043,
-  0x103d, 0x1037, 0x1031, 0x102a, 0x1024, 0x101e, 0x1018, 0x1012,
-  0x100b, 0x1005, 0xfff, 0xff9, 0xff2, 0xfec, 0xfe6, 0xfe0,
-  0xfd9, 0xfd3, 0xfcd, 0xfc7, 0xfc0, 0xfba, 0xfb4, 0xfae,
-  0xfa8, 0xfa1, 0xf9b, 0xf95, 0xf8f, 0xf88, 0xf82, 0xf7c,
-  0xf76, 0xf6f, 0xf69, 0xf63, 0xf5d, 0xf56, 0xf50, 0xf4a,
-  0xf44, 0xf3e, 0xf37, 0xf31, 0xf2b, 0xf25, 0xf1e, 0xf18,
-  0xf12, 0xf0c, 0xf05, 0xeff, 0xef9, 0xef3, 0xeec, 0xee6,
-  0xee0, 0xeda, 0xed3, 0xecd, 0xec7, 0xec1, 0xeba, 0xeb4,
-  0xeae, 0xea8, 0xea1, 0xe9b, 0xe95, 0xe8f, 0xe89, 0xe82,
-  0xe7c, 0xe76, 0xe70, 0xe69, 0xe63, 0xe5d, 0xe57, 0xe50,
-  0xe4a, 0xe44, 0xe3e, 0xe37, 0xe31, 0xe2b, 0xe25, 0xe1e,
-  0xe18, 0xe12, 0xe0c, 0xe05, 0xdff, 0xdf9, 0xdf3, 0xdec,
-  0xde6, 0xde0, 0xdda, 0xdd3, 0xdcd, 0xdc7, 0xdc1, 0xdba,
-  0xdb4, 0xdae, 0xda8, 0xda1, 0xd9b, 0xd95, 0xd8f, 0xd88,
-  0xd82, 0xd7c, 0xd76, 0xd6f, 0xd69, 0xd63, 0xd5d, 0xd56,
-  0xd50, 0xd4a, 0xd44, 0xd3d, 0xd37, 0xd31, 0xd2b, 0xd24,
-  0xd1e, 0xd18, 0xd12, 0xd0b, 0xd05, 0xcff, 0xcf9, 0xcf2,
-  0xcec, 0xce6, 0xce0, 0xcd9, 0xcd3, 0xccd, 0xcc7, 0xcc0,
-  0xcba, 0xcb4, 0xcae, 0xca7, 0xca1, 0xc9b, 0xc95, 0xc8e,
-  0xc88, 0xc82, 0xc7c, 0xc75, 0xc6f, 0xc69, 0xc63, 0xc5c,
-  0xc56, 0xc50, 0xc4a, 0xc43, 0xc3d, 0xc37, 0xc31, 0xc2a,
-  0xc24, 0xc1e, 0xc18, 0xc11, 0xc0b, 0xc05, 0xbff, 0xbf8,
-  0xbf2, 0xbec, 0xbe6, 0xbdf, 0xbd9, 0xbd3, 0xbcd, 0xbc6,
-  0xbc0, 0xbba, 0xbb4, 0xbad, 0xba7, 0xba1, 0xb9b, 0xb94,
-  0xb8e, 0xb88, 0xb81, 0xb7b, 0xb75, 0xb6f, 0xb68, 0xb62,
-  0xb5c, 0xb56, 0xb4f, 0xb49, 0xb43, 0xb3d, 0xb36, 0xb30,
-  0xb2a, 0xb24, 0xb1d, 0xb17, 0xb11, 0xb0b, 0xb04, 0xafe,
-  0xaf8, 0xaf2, 0xaeb, 0xae5, 0xadf, 0xad8, 0xad2, 0xacc,
-  0xac6, 0xabf, 0xab9, 0xab3, 0xaad, 0xaa6, 0xaa0, 0xa9a,
-  0xa94, 0xa8d, 0xa87, 0xa81, 0xa7b, 0xa74, 0xa6e, 0xa68,
-  0xa62, 0xa5b, 0xa55, 0xa4f, 0xa48, 0xa42, 0xa3c, 0xa36,
-  0xa2f, 0xa29, 0xa23, 0xa1d, 0xa16, 0xa10, 0xa0a, 0xa04,
-  0x9fd, 0x9f7, 0x9f1, 0x9eb, 0x9e4, 0x9de, 0x9d8, 0x9d1,
-  0x9cb, 0x9c5, 0x9bf, 0x9b8, 0x9b2, 0x9ac, 0x9a6, 0x99f,
-  0x999, 0x993, 0x98d, 0x986, 0x980, 0x97a, 0x973, 0x96d,
-  0x967, 0x961, 0x95a, 0x954, 0x94e, 0x948, 0x941, 0x93b,
-  0x935, 0x92f, 0x928, 0x922, 0x91c, 0x915, 0x90f, 0x909,
-  0x903, 0x8fc, 0x8f6, 0x8f0, 0x8ea, 0x8e3, 0x8dd, 0x8d7,
-  0x8d1, 0x8ca, 0x8c4, 0x8be, 0x8b7, 0x8b1, 0x8ab, 0x8a5,
-  0x89e, 0x898, 0x892, 0x88c, 0x885, 0x87f, 0x879, 0x872,
-  0x86c, 0x866, 0x860, 0x859, 0x853, 0x84d, 0x847, 0x840,
-  0x83a, 0x834, 0x82e, 0x827, 0x821, 0x81b, 0x814, 0x80e,
-  0x808, 0x802, 0x7fb, 0x7f5, 0x7ef, 0x7e9, 0x7e2, 0x7dc,
-  0x7d6, 0x7cf, 0x7c9, 0x7c3, 0x7bd, 0x7b6, 0x7b0, 0x7aa,
-  0x7a4, 0x79d, 0x797, 0x791, 0x78a, 0x784, 0x77e, 0x778,
-  0x771, 0x76b, 0x765, 0x75f, 0x758, 0x752, 0x74c, 0x745,
-  0x73f, 0x739, 0x733, 0x72c, 0x726, 0x720, 0x71a, 0x713,
-  0x70d, 0x707, 0x700, 0x6fa, 0x6f4, 0x6ee, 0x6e7, 0x6e1,
-  0x6db, 0x6d5, 0x6ce, 0x6c8, 0x6c2, 0x6bb, 0x6b5, 0x6af,
-  0x6a9, 0x6a2, 0x69c, 0x696, 0x690, 0x689, 0x683, 0x67d,
-  0x676, 0x670, 0x66a, 0x664, 0x65d, 0x657, 0x651, 0x64a,
-  0x644, 0x63e, 0x638, 0x631, 0x62b, 0x625, 0x61f, 0x618,
-  0x612, 0x60c, 0x605, 0x5ff, 0x5f9, 0x5f3, 0x5ec, 0x5e6,
-  0x5e0, 0x5da, 0x5d3, 0x5cd, 0x5c7, 0x5c0, 0x5ba, 0x5b4,
-  0x5ae, 0x5a7, 0x5a1, 0x59b, 0x594, 0x58e, 0x588, 0x582,
-  0x57b, 0x575, 0x56f, 0x569, 0x562, 0x55c, 0x556, 0x54f,
-  0x549, 0x543, 0x53d, 0x536, 0x530, 0x52a, 0x523, 0x51d,
-  0x517, 0x511, 0x50a, 0x504, 0x4fe, 0x4f8, 0x4f1, 0x4eb,
-  0x4e5, 0x4de, 0x4d8, 0x4d2, 0x4cc, 0x4c5, 0x4bf, 0x4b9,
-  0x4b2, 0x4ac, 0x4a6, 0x4a0, 0x499, 0x493, 0x48d, 0x487,
-  0x480, 0x47a, 0x474, 0x46d, 0x467, 0x461, 0x45b, 0x454,
-  0x44e, 0x448, 0x441, 0x43b, 0x435, 0x42f, 0x428, 0x422,
-  0x41c, 0x415, 0x40f, 0x409, 0x403, 0x3fc, 0x3f6, 0x3f0,
-  0x3ea, 0x3e3, 0x3dd, 0x3d7, 0x3d0, 0x3ca, 0x3c4, 0x3be,
-  0x3b7, 0x3b1, 0x3ab, 0x3a4, 0x39e, 0x398, 0x392, 0x38b,
-  0x385, 0x37f, 0x378, 0x372, 0x36c, 0x366, 0x35f, 0x359,
-  0x353, 0x34c, 0x346, 0x340, 0x33a, 0x333, 0x32d, 0x327,
-  0x321, 0x31a, 0x314, 0x30e, 0x307, 0x301, 0x2fb, 0x2f5,
-  0x2ee, 0x2e8, 0x2e2, 0x2db, 0x2d5, 0x2cf, 0x2c9, 0x2c2,
-  0x2bc, 0x2b6, 0x2af, 0x2a9, 0x2a3, 0x29d, 0x296, 0x290,
-  0x28a, 0x283, 0x27d, 0x277, 0x271, 0x26a, 0x264, 0x25e,
-  0x258, 0x251, 0x24b, 0x245, 0x23e, 0x238, 0x232, 0x22c,
-  0x225, 0x21f, 0x219, 0x212, 0x20c, 0x206, 0x200, 0x1f9,
-  0x1f3, 0x1ed, 0x1e6, 0x1e0, 0x1da, 0x1d4, 0x1cd, 0x1c7,
-  0x1c1, 0x1ba, 0x1b4, 0x1ae, 0x1a8, 0x1a1, 0x19b, 0x195,
-  0x18e, 0x188, 0x182, 0x17c, 0x175, 0x16f, 0x169, 0x162,
-  0x15c, 0x156, 0x150, 0x149, 0x143, 0x13d, 0x137, 0x130,
-  0x12a, 0x124, 0x11d, 0x117, 0x111, 0x10b, 0x104, 0xfe,
-  0xf8, 0xf1, 0xeb, 0xe5, 0xdf, 0xd8, 0xd2, 0xcc,
-  0xc5, 0xbf, 0xb9, 0xb3, 0xac, 0xa6, 0xa0, 0x99,
-  0x93, 0x8d, 0x87, 0x80, 0x7a, 0x74, 0x6d, 0x67,
-  0x61, 0x5b, 0x54, 0x4e, 0x48, 0x41, 0x3b, 0x35,
-  0x2f, 0x28, 0x22, 0x1c, 0x15, 0xf, 0x9, 0x3,
-};
-
-/**    
- * @brief  Initialization function for the Q15 DCT4/IDCT4.   
- * @param[in,out] *S         points to an instance of Q15 DCT4/IDCT4 structure.   
- * @param[in]     *S_RFFT    points to an instance of Q15 RFFT/RIFFT structure.   
- * @param[in]     *S_CFFT    points to an instance of Q15 CFFT/CIFFT structure.   
- * @param[in]     N          length of the DCT4.   
- * @param[in]     Nby2       half of the length of the DCT4.   
- * @param[in]     normalize  normalizing factor.   
- * @return  	  arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if N is not a supported transform length.   
- * \par Normalizing factor:    
- * The normalizing factor is sqrt(2/N), which depends on the size of transform N.    
- * Normalizing factors in 1.15 format are mentioned in the table below for different DCT sizes:    
- * \image html dct4NormalizingQ15Table.gif    
- */
-
-arm_status arm_dct4_init_q15(
-  arm_dct4_instance_q15 * S,
-  arm_rfft_instance_q15 * S_RFFT,
-  arm_cfft_radix4_instance_q15 * S_CFFT,
-  uint16_t N,
-  uint16_t Nby2,
-  q15_t normalize)
-{
-  /*  Initialise the default arm status */
-  arm_status status = ARM_MATH_SUCCESS;
-
-  /* Initializing the pointer array with the weight table base addresses of different lengths */
-  q15_t *twiddlePtr[4] = { (q15_t *) WeightsQ15_128, (q15_t *) WeightsQ15_512,
-    (q15_t *) WeightsQ15_2048, (q15_t *) WeightsQ15_8192
-  };
-
-  /* Initializing the pointer array with the cos factor table base addresses of different lengths */
-  q15_t *pCosFactor[4] =
-    { (q15_t *) cos_factorsQ15_128, (q15_t *) cos_factorsQ15_512,
-    (q15_t *) cos_factorsQ15_2048, (q15_t *) cos_factorsQ15_8192
-  };
-
-  /* Initialize the DCT4 length */
-  S->N = N;
-
-  /* Initialize the half of DCT4 length */
-  S->Nby2 = Nby2;
-
-  /* Initialize the DCT4 Normalizing factor */
-  S->normalize = normalize;
-
-  /* Initialize Real FFT Instance */
-  S->pRfft = S_RFFT;
-
-  /* Initialize Complex FFT Instance */
-  S->pCfft = S_CFFT;
-
-  switch (N)
-  {
-    /* Initialize the table modifier values */
-  case 8192u:
-    S->pTwiddle = twiddlePtr[3];
-    S->pCosFactor = pCosFactor[3];
-    break;
-  case 2048u:
-    S->pTwiddle = twiddlePtr[2];
-    S->pCosFactor = pCosFactor[2];
-    break;
-  case 512u:
-    S->pTwiddle = twiddlePtr[1];
-    S->pCosFactor = pCosFactor[1];
-    break;
-  case 128u:
-    S->pTwiddle = twiddlePtr[0];
-    S->pCosFactor = pCosFactor[0];
-    break;
-  default:
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-
-  /* Initialize the RFFT/RIFFT */
-  arm_rfft_init_q15(S->pRfft, S->pCfft, S->N, 0u, 1u);
-
-  /* return the status of DCT4 Init function */
-  return (status);
-}
-
-/**    
-   * @} end of DCT4_IDCT4 group    
-   */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_dct4_init_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_dct4_init_q31.c
deleted file mode 100644
index 211cdadf3..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_dct4_init_q31.c
+++ /dev/null
@@ -1,8356 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_dct4_init_q31.c    
-*    
-* Description:	Initialization function of DCT-4 & IDCT4 Q31    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupTransforms    
- */
-
-/**    
- * @addtogroup DCT4_IDCT4    
- * @{    
- */
-
-/*    
-* @brief  Weights Table    
-*/
-
-/**    
-* \par    
-* Weights tables are generated using the formula : 
weights[n] = e^(-j*n*pi/(2*N))
    
-* \par    
-* C command to generate the table    
-* 
    
-* for(i = 0; i< N; i++)    
-* {    
-*   weights[2*i]= cos(i*c);    
-*   weights[(2*i)+1]= -sin(i * c);    
-* } 
    
-* \par    
-* where N is the Number of weights to be calculated and c is pi/(2*N)    
-* \par    
-* Convert the output to q31 format by multiplying with 2^31 and saturated if required.    
-* \par    
-* In the tables below the real and imaginary values are placed alternatively, hence the    
-* array length is 2*N.    
-*/
-
-static const q31_t WeightsQ31_128[256] = {
-  0x7fffffff, 0x0, 0x7ffd885a, 0xfe6de2e0, 0x7ff62182, 0xfcdbd541, 0x7fe9cbc0,
-  0xfb49e6a3,
-  0x7fd8878e, 0xf9b82684, 0x7fc25596, 0xf826a462, 0x7fa736b4, 0xf6956fb7,
-  0x7f872bf3, 0xf50497fb,
-  0x7f62368f, 0xf3742ca2, 0x7f3857f6, 0xf1e43d1c, 0x7f0991c4, 0xf054d8d5,
-  0x7ed5e5c6, 0xeec60f31,
-  0x7e9d55fc, 0xed37ef91, 0x7e5fe493, 0xebaa894f, 0x7e1d93ea, 0xea1debbb,
-  0x7dd6668f, 0xe8922622,
-  0x7d8a5f40, 0xe70747c4, 0x7d3980ec, 0xe57d5fda, 0x7ce3ceb2, 0xe3f47d96,
-  0x7c894bde, 0xe26cb01b,
-  0x7c29fbee, 0xe0e60685, 0x7bc5e290, 0xdf608fe4, 0x7b5d039e, 0xdddc5b3b,
-  0x7aef6323, 0xdc597781,
-  0x7a7d055b, 0xdad7f3a2, 0x7a05eead, 0xd957de7a, 0x798a23b1, 0xd7d946d8,
-  0x7909a92d, 0xd65c3b7b,
-  0x78848414, 0xd4e0cb15, 0x77fab989, 0xd3670446, 0x776c4edb, 0xd1eef59e,
-  0x76d94989, 0xd078ad9e,
-  0x7641af3d, 0xcf043ab3, 0x75a585cf, 0xcd91ab39, 0x7504d345, 0xcc210d79,
-  0x745f9dd1, 0xcab26fa9,
-  0x73b5ebd1, 0xc945dfec, 0x7307c3d0, 0xc7db6c50, 0x72552c85, 0xc67322ce,
-  0x719e2cd2, 0xc50d1149,
-  0x70e2cbc6, 0xc3a94590, 0x7023109a, 0xc247cd5a, 0x6f5f02b2, 0xc0e8b648,
-  0x6e96a99d, 0xbf8c0de3,
-  0x6dca0d14, 0xbe31e19b, 0x6cf934fc, 0xbcda3ecb, 0x6c242960, 0xbb8532b0,
-  0x6b4af279, 0xba32ca71,
-  0x6a6d98a4, 0xb8e31319, 0x698c246c, 0xb796199b, 0x68a69e81, 0xb64beacd,
-  0x67bd0fbd, 0xb5049368,
-  0x66cf8120, 0xb3c0200c, 0x65ddfbd3, 0xb27e9d3c, 0x64e88926, 0xb140175b,
-  0x63ef3290, 0xb0049ab3,
-  0x62f201ac, 0xaecc336c, 0x61f1003f, 0xad96ed92, 0x60ec3830, 0xac64d510,
-  0x5fe3b38d, 0xab35f5b5,
-  0x5ed77c8a, 0xaa0a5b2e, 0x5dc79d7c, 0xa8e21106, 0x5cb420e0, 0xa7bd22ac,
-  0x5b9d1154, 0xa69b9b68,
-  0x5a82799a, 0xa57d8666, 0x59646498, 0xa462eeac, 0x5842dd54, 0xa34bdf20,
-  0x571deefa, 0xa2386284,
-  0x55f5a4d2, 0xa1288376, 0x54ca0a4b, 0xa01c4c73, 0x539b2af0, 0x9f13c7d0,
-  0x5269126e, 0x9e0effc1,
-  0x5133cc94, 0x9d0dfe54, 0x4ffb654d, 0x9c10cd70, 0x4ebfe8a5, 0x9b1776da,
-  0x4d8162c4, 0x9a22042d,
-  0x4c3fdff4, 0x99307ee0, 0x4afb6c98, 0x9842f043, 0x49b41533, 0x9759617f,
-  0x4869e665, 0x9673db94,
-  0x471cece7, 0x9592675c, 0x45cd358f, 0x94b50d87, 0x447acd50, 0x93dbd6a0,
-  0x4325c135, 0x9306cb04,
-  0x41ce1e65, 0x9235f2ec, 0x4073f21d, 0x91695663, 0x3f1749b8, 0x90a0fd4e,
-  0x3db832a6, 0x8fdcef66,
-  0x3c56ba70, 0x8f1d343a, 0x3af2eeb7, 0x8e61d32e, 0x398cdd32, 0x8daad37b,
-  0x382493b0, 0x8cf83c30,
-  0x36ba2014, 0x8c4a142f, 0x354d9057, 0x8ba0622f, 0x33def287, 0x8afb2cbb,
-  0x326e54c7, 0x8a5a7a31,
-  0x30fbc54d, 0x89be50c3, 0x2f875262, 0x8926b677, 0x2e110a62, 0x8893b125,
-  0x2c98fbba, 0x88054677,
-  0x2b1f34eb, 0x877b7bec, 0x29a3c485, 0x86f656d3, 0x2826b928, 0x8675dc4f,
-  0x26a82186, 0x85fa1153,
-  0x25280c5e, 0x8582faa5, 0x23a6887f, 0x85109cdd, 0x2223a4c5, 0x84a2fc62,
-  0x209f701c, 0x843a1d70,
-  0x1f19f97b, 0x83d60412, 0x1d934fe5, 0x8376b422, 0x1c0b826a, 0x831c314e,
-  0x1a82a026, 0x82c67f14,
-  0x18f8b83c, 0x8275a0c0, 0x176dd9de, 0x82299971, 0x15e21445, 0x81e26c16,
-  0x145576b1, 0x81a01b6d,
-  0x12c8106f, 0x8162aa04, 0x1139f0cf, 0x812a1a3a, 0xfab272b, 0x80f66e3c,
-  0xe1bc2e4, 0x80c7a80a,
-  0xc8bd35e, 0x809dc971, 0xafb6805, 0x8078d40d, 0x96a9049, 0x8058c94c,
-  0x7d95b9e, 0x803daa6a,
-  0x647d97c, 0x80277872, 0x4b6195d, 0x80163440, 0x3242abf, 0x8009de7e,
-  0x1921d20, 0x800277a6,
-};
-
-static const q31_t WeightsQ31_512[1024] = {
-  0x7fffffff, 0x0, 0x7fffd886, 0xff9b781d, 0x7fff6216, 0xff36f078, 0x7ffe9cb2,
-  0xfed2694f,
-  0x7ffd885a, 0xfe6de2e0, 0x7ffc250f, 0xfe095d69, 0x7ffa72d1, 0xfda4d929,
-  0x7ff871a2, 0xfd40565c,
-  0x7ff62182, 0xfcdbd541, 0x7ff38274, 0xfc775616, 0x7ff09478, 0xfc12d91a,
-  0x7fed5791, 0xfbae5e89,
-  0x7fe9cbc0, 0xfb49e6a3, 0x7fe5f108, 0xfae571a4, 0x7fe1c76b, 0xfa80ffcb,
-  0x7fdd4eec, 0xfa1c9157,
-  0x7fd8878e, 0xf9b82684, 0x7fd37153, 0xf953bf91, 0x7fce0c3e, 0xf8ef5cbb,
-  0x7fc85854, 0xf88afe42,
-  0x7fc25596, 0xf826a462, 0x7fbc040a, 0xf7c24f59, 0x7fb563b3, 0xf75dff66,
-  0x7fae7495, 0xf6f9b4c6,
-  0x7fa736b4, 0xf6956fb7, 0x7f9faa15, 0xf6313077, 0x7f97cebd, 0xf5ccf743,
-  0x7f8fa4b0, 0xf568c45b,
-  0x7f872bf3, 0xf50497fb, 0x7f7e648c, 0xf4a07261, 0x7f754e80, 0xf43c53cb,
-  0x7f6be9d4, 0xf3d83c77,
-  0x7f62368f, 0xf3742ca2, 0x7f5834b7, 0xf310248a, 0x7f4de451, 0xf2ac246e,
-  0x7f434563, 0xf2482c8a,
-  0x7f3857f6, 0xf1e43d1c, 0x7f2d1c0e, 0xf1805662, 0x7f2191b4, 0xf11c789a,
-  0x7f15b8ee, 0xf0b8a401,
-  0x7f0991c4, 0xf054d8d5, 0x7efd1c3c, 0xeff11753, 0x7ef05860, 0xef8d5fb8,
-  0x7ee34636, 0xef29b243,
-  0x7ed5e5c6, 0xeec60f31, 0x7ec8371a, 0xee6276bf, 0x7eba3a39, 0xedfee92b,
-  0x7eabef2c, 0xed9b66b2,
-  0x7e9d55fc, 0xed37ef91, 0x7e8e6eb2, 0xecd48407, 0x7e7f3957, 0xec71244f,
-  0x7e6fb5f4, 0xec0dd0a8,
-  0x7e5fe493, 0xebaa894f, 0x7e4fc53e, 0xeb474e81, 0x7e3f57ff, 0xeae4207a,
-  0x7e2e9cdf, 0xea80ff7a,
-  0x7e1d93ea, 0xea1debbb, 0x7e0c3d29, 0xe9bae57d, 0x7dfa98a8, 0xe957ecfb,
-  0x7de8a670, 0xe8f50273,
-  0x7dd6668f, 0xe8922622, 0x7dc3d90d, 0xe82f5844, 0x7db0fdf8, 0xe7cc9917,
-  0x7d9dd55a, 0xe769e8d8,
-  0x7d8a5f40, 0xe70747c4, 0x7d769bb5, 0xe6a4b616, 0x7d628ac6, 0xe642340d,
-  0x7d4e2c7f, 0xe5dfc1e5,
-  0x7d3980ec, 0xe57d5fda, 0x7d24881b, 0xe51b0e2a, 0x7d0f4218, 0xe4b8cd11,
-  0x7cf9aef0, 0xe4569ccb,
-  0x7ce3ceb2, 0xe3f47d96, 0x7ccda169, 0xe3926fad, 0x7cb72724, 0xe330734d,
-  0x7ca05ff1, 0xe2ce88b3,
-  0x7c894bde, 0xe26cb01b, 0x7c71eaf9, 0xe20ae9c1, 0x7c5a3d50, 0xe1a935e2,
-  0x7c4242f2, 0xe14794ba,
-  0x7c29fbee, 0xe0e60685, 0x7c116853, 0xe0848b7f, 0x7bf88830, 0xe02323e5,
-  0x7bdf5b94, 0xdfc1cff3,
-  0x7bc5e290, 0xdf608fe4, 0x7bac1d31, 0xdeff63f4, 0x7b920b89, 0xde9e4c60,
-  0x7b77ada8, 0xde3d4964,
-  0x7b5d039e, 0xdddc5b3b, 0x7b420d7a, 0xdd7b8220, 0x7b26cb4f, 0xdd1abe51,
-  0x7b0b3d2c, 0xdcba1008,
-  0x7aef6323, 0xdc597781, 0x7ad33d45, 0xdbf8f4f8, 0x7ab6cba4, 0xdb9888a8,
-  0x7a9a0e50, 0xdb3832cd,
-  0x7a7d055b, 0xdad7f3a2, 0x7a5fb0d8, 0xda77cb63, 0x7a4210d8, 0xda17ba4a,
-  0x7a24256f, 0xd9b7c094,
-  0x7a05eead, 0xd957de7a, 0x79e76ca7, 0xd8f81439, 0x79c89f6e, 0xd898620c,
-  0x79a98715, 0xd838c82d,
-  0x798a23b1, 0xd7d946d8, 0x796a7554, 0xd779de47, 0x794a7c12, 0xd71a8eb5,
-  0x792a37fe, 0xd6bb585e,
-  0x7909a92d, 0xd65c3b7b, 0x78e8cfb2, 0xd5fd3848, 0x78c7aba2, 0xd59e4eff,
-  0x78a63d11, 0xd53f7fda,
-  0x78848414, 0xd4e0cb15, 0x786280bf, 0xd48230e9, 0x78403329, 0xd423b191,
-  0x781d9b65, 0xd3c54d47,
-  0x77fab989, 0xd3670446, 0x77d78daa, 0xd308d6c7, 0x77b417df, 0xd2aac504,
-  0x7790583e, 0xd24ccf39,
-  0x776c4edb, 0xd1eef59e, 0x7747fbce, 0xd191386e, 0x77235f2d, 0xd13397e2,
-  0x76fe790e, 0xd0d61434,
-  0x76d94989, 0xd078ad9e, 0x76b3d0b4, 0xd01b6459, 0x768e0ea6, 0xcfbe389f,
-  0x76680376, 0xcf612aaa,
-  0x7641af3d, 0xcf043ab3, 0x761b1211, 0xcea768f2, 0x75f42c0b, 0xce4ab5a2,
-  0x75ccfd42, 0xcdee20fc,
-  0x75a585cf, 0xcd91ab39, 0x757dc5ca, 0xcd355491, 0x7555bd4c, 0xccd91d3d,
-  0x752d6c6c, 0xcc7d0578,
-  0x7504d345, 0xcc210d79, 0x74dbf1ef, 0xcbc53579, 0x74b2c884, 0xcb697db0,
-  0x7489571c, 0xcb0de658,
-  0x745f9dd1, 0xcab26fa9, 0x74359cbd, 0xca5719db, 0x740b53fb, 0xc9fbe527,
-  0x73e0c3a3, 0xc9a0d1c5,
-  0x73b5ebd1, 0xc945dfec, 0x738acc9e, 0xc8eb0fd6, 0x735f6626, 0xc89061ba,
-  0x7333b883, 0xc835d5d0,
-  0x7307c3d0, 0xc7db6c50, 0x72db8828, 0xc7812572, 0x72af05a7, 0xc727016d,
-  0x72823c67, 0xc6cd0079,
-  0x72552c85, 0xc67322ce, 0x7227d61c, 0xc61968a2, 0x71fa3949, 0xc5bfd22e,
-  0x71cc5626, 0xc5665fa9,
-  0x719e2cd2, 0xc50d1149, 0x716fbd68, 0xc4b3e746, 0x71410805, 0xc45ae1d7,
-  0x71120cc5, 0xc4020133,
-  0x70e2cbc6, 0xc3a94590, 0x70b34525, 0xc350af26, 0x708378ff, 0xc2f83e2a,
-  0x70536771, 0xc29ff2d4,
-  0x7023109a, 0xc247cd5a, 0x6ff27497, 0xc1efcdf3, 0x6fc19385, 0xc197f4d4,
-  0x6f906d84, 0xc1404233,
-  0x6f5f02b2, 0xc0e8b648, 0x6f2d532c, 0xc0915148, 0x6efb5f12, 0xc03a1368,
-  0x6ec92683, 0xbfe2fcdf,
-  0x6e96a99d, 0xbf8c0de3, 0x6e63e87f, 0xbf3546a8, 0x6e30e34a, 0xbedea765,
-  0x6dfd9a1c, 0xbe88304f,
-  0x6dca0d14, 0xbe31e19b, 0x6d963c54, 0xbddbbb7f, 0x6d6227fa, 0xbd85be30,
-  0x6d2dd027, 0xbd2fe9e2,
-  0x6cf934fc, 0xbcda3ecb, 0x6cc45698, 0xbc84bd1f, 0x6c8f351c, 0xbc2f6513,
-  0x6c59d0a9, 0xbbda36dd,
-  0x6c242960, 0xbb8532b0, 0x6bee3f62, 0xbb3058c0, 0x6bb812d1, 0xbadba943,
-  0x6b81a3cd, 0xba87246d,
-  0x6b4af279, 0xba32ca71, 0x6b13fef5, 0xb9de9b83, 0x6adcc964, 0xb98a97d8,
-  0x6aa551e9, 0xb936bfa4,
-  0x6a6d98a4, 0xb8e31319, 0x6a359db9, 0xb88f926d, 0x69fd614a, 0xb83c3dd1,
-  0x69c4e37a, 0xb7e9157a,
-  0x698c246c, 0xb796199b, 0x69532442, 0xb7434a67, 0x6919e320, 0xb6f0a812,
-  0x68e06129, 0xb69e32cd,
-  0x68a69e81, 0xb64beacd, 0x686c9b4b, 0xb5f9d043, 0x683257ab, 0xb5a7e362,
-  0x67f7d3c5, 0xb556245e,
-  0x67bd0fbd, 0xb5049368, 0x67820bb7, 0xb4b330b3, 0x6746c7d8, 0xb461fc70,
-  0x670b4444, 0xb410f6d3,
-  0x66cf8120, 0xb3c0200c, 0x66937e91, 0xb36f784f, 0x66573cbb, 0xb31effcc,
-  0x661abbc5, 0xb2ceb6b5,
-  0x65ddfbd3, 0xb27e9d3c, 0x65a0fd0b, 0xb22eb392, 0x6563bf92, 0xb1def9e9,
-  0x6526438f, 0xb18f7071,
-  0x64e88926, 0xb140175b, 0x64aa907f, 0xb0f0eeda, 0x646c59bf, 0xb0a1f71d,
-  0x642de50d, 0xb0533055,
-  0x63ef3290, 0xb0049ab3, 0x63b0426d, 0xafb63667, 0x637114cc, 0xaf6803a2,
-  0x6331a9d4, 0xaf1a0293,
-  0x62f201ac, 0xaecc336c, 0x62b21c7b, 0xae7e965b, 0x6271fa69, 0xae312b92,
-  0x62319b9d, 0xade3f33e,
-  0x61f1003f, 0xad96ed92, 0x61b02876, 0xad4a1aba, 0x616f146c, 0xacfd7ae8,
-  0x612dc447, 0xacb10e4b,
-  0x60ec3830, 0xac64d510, 0x60aa7050, 0xac18cf69, 0x60686ccf, 0xabccfd83,
-  0x60262dd6, 0xab815f8d,
-  0x5fe3b38d, 0xab35f5b5, 0x5fa0fe1f, 0xaaeac02c, 0x5f5e0db3, 0xaa9fbf1e,
-  0x5f1ae274, 0xaa54f2ba,
-  0x5ed77c8a, 0xaa0a5b2e, 0x5e93dc1f, 0xa9bff8a8, 0x5e50015d, 0xa975cb57,
-  0x5e0bec6e, 0xa92bd367,
-  0x5dc79d7c, 0xa8e21106, 0x5d8314b1, 0xa8988463, 0x5d3e5237, 0xa84f2daa,
-  0x5cf95638, 0xa8060d08,
-  0x5cb420e0, 0xa7bd22ac, 0x5c6eb258, 0xa7746ec0, 0x5c290acc, 0xa72bf174,
-  0x5be32a67, 0xa6e3aaf2,
-  0x5b9d1154, 0xa69b9b68, 0x5b56bfbd, 0xa653c303, 0x5b1035cf, 0xa60c21ee,
-  0x5ac973b5, 0xa5c4b855,
-  0x5a82799a, 0xa57d8666, 0x5a3b47ab, 0xa5368c4b, 0x59f3de12, 0xa4efca31,
-  0x59ac3cfd, 0xa4a94043,
-  0x59646498, 0xa462eeac, 0x591c550e, 0xa41cd599, 0x58d40e8c, 0xa3d6f534,
-  0x588b9140, 0xa3914da8,
-  0x5842dd54, 0xa34bdf20, 0x57f9f2f8, 0xa306a9c8, 0x57b0d256, 0xa2c1adc9,
-  0x57677b9d, 0xa27ceb4f,
-  0x571deefa, 0xa2386284, 0x56d42c99, 0xa1f41392, 0x568a34a9, 0xa1affea3,
-  0x56400758, 0xa16c23e1,
-  0x55f5a4d2, 0xa1288376, 0x55ab0d46, 0xa0e51d8c, 0x556040e2, 0xa0a1f24d,
-  0x55153fd4, 0xa05f01e1,
-  0x54ca0a4b, 0xa01c4c73, 0x547ea073, 0x9fd9d22a, 0x5433027d, 0x9f979331,
-  0x53e73097, 0x9f558fb0,
-  0x539b2af0, 0x9f13c7d0, 0x534ef1b5, 0x9ed23bb9, 0x53028518, 0x9e90eb94,
-  0x52b5e546, 0x9e4fd78a,
-  0x5269126e, 0x9e0effc1, 0x521c0cc2, 0x9dce6463, 0x51ced46e, 0x9d8e0597,
-  0x518169a5, 0x9d4de385,
-  0x5133cc94, 0x9d0dfe54, 0x50e5fd6d, 0x9cce562c, 0x5097fc5e, 0x9c8eeb34,
-  0x5049c999, 0x9c4fbd93,
-  0x4ffb654d, 0x9c10cd70, 0x4faccfab, 0x9bd21af3, 0x4f5e08e3, 0x9b93a641,
-  0x4f0f1126, 0x9b556f81,
-  0x4ebfe8a5, 0x9b1776da, 0x4e708f8f, 0x9ad9bc71, 0x4e210617, 0x9a9c406e,
-  0x4dd14c6e, 0x9a5f02f5,
-  0x4d8162c4, 0x9a22042d, 0x4d31494b, 0x99e5443b, 0x4ce10034, 0x99a8c345,
-  0x4c9087b1, 0x996c816f,
-  0x4c3fdff4, 0x99307ee0, 0x4bef092d, 0x98f4bbbc, 0x4b9e0390, 0x98b93828,
-  0x4b4ccf4d, 0x987df449,
-  0x4afb6c98, 0x9842f043, 0x4aa9dba2, 0x98082c3b, 0x4a581c9e, 0x97cda855,
-  0x4a062fbd, 0x979364b5,
-  0x49b41533, 0x9759617f, 0x4961cd33, 0x971f9ed7, 0x490f57ee, 0x96e61ce0,
-  0x48bcb599, 0x96acdbbe,
-  0x4869e665, 0x9673db94, 0x4816ea86, 0x963b1c86, 0x47c3c22f, 0x96029eb6,
-  0x47706d93, 0x95ca6247,
-  0x471cece7, 0x9592675c, 0x46c9405c, 0x955aae17, 0x46756828, 0x9523369c,
-  0x4621647d, 0x94ec010b,
-  0x45cd358f, 0x94b50d87, 0x4578db93, 0x947e5c33, 0x452456bd, 0x9447ed2f,
-  0x44cfa740, 0x9411c09e,
-  0x447acd50, 0x93dbd6a0, 0x4425c923, 0x93a62f57, 0x43d09aed, 0x9370cae4,
-  0x437b42e1, 0x933ba968,
-  0x4325c135, 0x9306cb04, 0x42d0161e, 0x92d22fd9, 0x427a41d0, 0x929dd806,
-  0x42244481, 0x9269c3ac,
-  0x41ce1e65, 0x9235f2ec, 0x4177cfb1, 0x920265e4, 0x4121589b, 0x91cf1cb6,
-  0x40cab958, 0x919c1781,
-  0x4073f21d, 0x91695663, 0x401d0321, 0x9136d97d, 0x3fc5ec98, 0x9104a0ee,
-  0x3f6eaeb8, 0x90d2acd4,
-  0x3f1749b8, 0x90a0fd4e, 0x3ebfbdcd, 0x906f927c, 0x3e680b2c, 0x903e6c7b,
-  0x3e10320d, 0x900d8b69,
-  0x3db832a6, 0x8fdcef66, 0x3d600d2c, 0x8fac988f, 0x3d07c1d6, 0x8f7c8701,
-  0x3caf50da, 0x8f4cbadb,
-  0x3c56ba70, 0x8f1d343a, 0x3bfdfecd, 0x8eedf33b, 0x3ba51e29, 0x8ebef7fb,
-  0x3b4c18ba, 0x8e904298,
-  0x3af2eeb7, 0x8e61d32e, 0x3a99a057, 0x8e33a9da, 0x3a402dd2, 0x8e05c6b7,
-  0x39e6975e, 0x8dd829e4,
-  0x398cdd32, 0x8daad37b, 0x3932ff87, 0x8d7dc399, 0x38d8fe93, 0x8d50fa59,
-  0x387eda8e, 0x8d2477d8,
-  0x382493b0, 0x8cf83c30, 0x37ca2a30, 0x8ccc477d, 0x376f9e46, 0x8ca099da,
-  0x3714f02a, 0x8c753362,
-  0x36ba2014, 0x8c4a142f, 0x365f2e3b, 0x8c1f3c5d, 0x36041ad9, 0x8bf4ac05,
-  0x35a8e625, 0x8bca6343,
-  0x354d9057, 0x8ba0622f, 0x34f219a8, 0x8b76a8e4, 0x34968250, 0x8b4d377c,
-  0x343aca87, 0x8b240e11,
-  0x33def287, 0x8afb2cbb, 0x3382fa88, 0x8ad29394, 0x3326e2c3, 0x8aaa42b4,
-  0x32caab6f, 0x8a823a36,
-  0x326e54c7, 0x8a5a7a31, 0x3211df04, 0x8a3302be, 0x31b54a5e, 0x8a0bd3f5,
-  0x3158970e, 0x89e4edef,
-  0x30fbc54d, 0x89be50c3, 0x309ed556, 0x8997fc8a, 0x3041c761, 0x8971f15a,
-  0x2fe49ba7, 0x894c2f4c,
-  0x2f875262, 0x8926b677, 0x2f29ebcc, 0x890186f2, 0x2ecc681e, 0x88dca0d3,
-  0x2e6ec792, 0x88b80432,
-  0x2e110a62, 0x8893b125, 0x2db330c7, 0x886fa7c2, 0x2d553afc, 0x884be821,
-  0x2cf72939, 0x88287256,
-  0x2c98fbba, 0x88054677, 0x2c3ab2b9, 0x87e2649b, 0x2bdc4e6f, 0x87bfccd7,
-  0x2b7dcf17, 0x879d7f41,
-  0x2b1f34eb, 0x877b7bec, 0x2ac08026, 0x8759c2ef, 0x2a61b101, 0x8738545e,
-  0x2a02c7b8, 0x8717304e,
-  0x29a3c485, 0x86f656d3, 0x2944a7a2, 0x86d5c802, 0x28e5714b, 0x86b583ee,
-  0x288621b9, 0x86958aac,
-  0x2826b928, 0x8675dc4f, 0x27c737d3, 0x865678eb, 0x27679df4, 0x86376092,
-  0x2707ebc7, 0x86189359,
-  0x26a82186, 0x85fa1153, 0x26483f6c, 0x85dbda91, 0x25e845b6, 0x85bdef28,
-  0x2588349d, 0x85a04f28,
-  0x25280c5e, 0x8582faa5, 0x24c7cd33, 0x8565f1b0, 0x24677758, 0x8549345c,
-  0x24070b08, 0x852cc2bb,
-  0x23a6887f, 0x85109cdd, 0x2345eff8, 0x84f4c2d4, 0x22e541af, 0x84d934b1,
-  0x22847de0, 0x84bdf286,
-  0x2223a4c5, 0x84a2fc62, 0x21c2b69c, 0x84885258, 0x2161b3a0, 0x846df477,
-  0x21009c0c, 0x8453e2cf,
-  0x209f701c, 0x843a1d70, 0x203e300d, 0x8420a46c, 0x1fdcdc1b, 0x840777d0,
-  0x1f7b7481, 0x83ee97ad,
-  0x1f19f97b, 0x83d60412, 0x1eb86b46, 0x83bdbd0e, 0x1e56ca1e, 0x83a5c2b0,
-  0x1df5163f, 0x838e1507,
-  0x1d934fe5, 0x8376b422, 0x1d31774d, 0x835fa00f, 0x1ccf8cb3, 0x8348d8dc,
-  0x1c6d9053, 0x83325e97,
-  0x1c0b826a, 0x831c314e, 0x1ba96335, 0x83065110, 0x1b4732ef, 0x82f0bde8,
-  0x1ae4f1d6, 0x82db77e5,
-  0x1a82a026, 0x82c67f14, 0x1a203e1b, 0x82b1d381, 0x19bdcbf3, 0x829d753a,
-  0x195b49ea, 0x8289644b,
-  0x18f8b83c, 0x8275a0c0, 0x18961728, 0x82622aa6, 0x183366e9, 0x824f0208,
-  0x17d0a7bc, 0x823c26f3,
-  0x176dd9de, 0x82299971, 0x170afd8d, 0x82175990, 0x16a81305, 0x82056758,
-  0x16451a83, 0x81f3c2d7,
-  0x15e21445, 0x81e26c16, 0x157f0086, 0x81d16321, 0x151bdf86, 0x81c0a801,
-  0x14b8b17f, 0x81b03ac2,
-  0x145576b1, 0x81a01b6d, 0x13f22f58, 0x81904a0c, 0x138edbb1, 0x8180c6a9,
-  0x132b7bf9, 0x8171914e,
-  0x12c8106f, 0x8162aa04, 0x1264994e, 0x815410d4, 0x120116d5, 0x8145c5c7,
-  0x119d8941, 0x8137c8e6,
-  0x1139f0cf, 0x812a1a3a, 0x10d64dbd, 0x811cb9ca, 0x1072a048, 0x810fa7a0,
-  0x100ee8ad, 0x8102e3c4,
-  0xfab272b, 0x80f66e3c, 0xf475bff, 0x80ea4712, 0xee38766, 0x80de6e4c,
-  0xe7fa99e, 0x80d2e3f2,
-  0xe1bc2e4, 0x80c7a80a, 0xdb7d376, 0x80bcba9d, 0xd53db92, 0x80b21baf,
-  0xcefdb76, 0x80a7cb49,
-  0xc8bd35e, 0x809dc971, 0xc27c389, 0x8094162c, 0xbc3ac35, 0x808ab180,
-  0xb5f8d9f, 0x80819b74,
-  0xafb6805, 0x8078d40d, 0xa973ba5, 0x80705b50, 0xa3308bd, 0x80683143,
-  0x9cecf89, 0x806055eb,
-  0x96a9049, 0x8058c94c, 0x9064b3a, 0x80518b6b, 0x8a2009a, 0x804a9c4d,
-  0x83db0a7, 0x8043fbf6,
-  0x7d95b9e, 0x803daa6a, 0x77501be, 0x8037a7ac, 0x710a345, 0x8031f3c2,
-  0x6ac406f, 0x802c8ead,
-  0x647d97c, 0x80277872, 0x5e36ea9, 0x8022b114, 0x57f0035, 0x801e3895,
-  0x51a8e5c, 0x801a0ef8,
-  0x4b6195d, 0x80163440, 0x451a177, 0x8012a86f, 0x3ed26e6, 0x800f6b88,
-  0x388a9ea, 0x800c7d8c,
-  0x3242abf, 0x8009de7e, 0x2bfa9a4, 0x80078e5e, 0x25b26d7, 0x80058d2f,
-  0x1f6a297, 0x8003daf1,
-  0x1921d20, 0x800277a6, 0x12d96b1, 0x8001634e, 0xc90f88, 0x80009dea,
-  0x6487e3, 0x8000277a,
-};
-
-static const q31_t WeightsQ31_2048[4096] = {
-  0x7fffffff, 0x0, 0x7ffffd88, 0xffe6de05, 0x7ffff621, 0xffcdbc0b, 0x7fffe9cb,
-  0xffb49a12,
-  0x7fffd886, 0xff9b781d, 0x7fffc251, 0xff82562c, 0x7fffa72c, 0xff69343f,
-  0x7fff8719, 0xff501258,
-  0x7fff6216, 0xff36f078, 0x7fff3824, 0xff1dcea0, 0x7fff0943, 0xff04acd0,
-  0x7ffed572, 0xfeeb8b0a,
-  0x7ffe9cb2, 0xfed2694f, 0x7ffe5f03, 0xfeb947a0, 0x7ffe1c65, 0xfea025fd,
-  0x7ffdd4d7, 0xfe870467,
-  0x7ffd885a, 0xfe6de2e0, 0x7ffd36ee, 0xfe54c169, 0x7ffce093, 0xfe3ba002,
-  0x7ffc8549, 0xfe227eac,
-  0x7ffc250f, 0xfe095d69, 0x7ffbbfe6, 0xfdf03c3a, 0x7ffb55ce, 0xfdd71b1e,
-  0x7ffae6c7, 0xfdbdfa18,
-  0x7ffa72d1, 0xfda4d929, 0x7ff9f9ec, 0xfd8bb850, 0x7ff97c18, 0xfd729790,
-  0x7ff8f954, 0xfd5976e9,
-  0x7ff871a2, 0xfd40565c, 0x7ff7e500, 0xfd2735ea, 0x7ff75370, 0xfd0e1594,
-  0x7ff6bcf0, 0xfcf4f55c,
-  0x7ff62182, 0xfcdbd541, 0x7ff58125, 0xfcc2b545, 0x7ff4dbd9, 0xfca9956a,
-  0x7ff4319d, 0xfc9075af,
-  0x7ff38274, 0xfc775616, 0x7ff2ce5b, 0xfc5e36a0, 0x7ff21553, 0xfc45174e,
-  0x7ff1575d, 0xfc2bf821,
-  0x7ff09478, 0xfc12d91a, 0x7fefcca4, 0xfbf9ba39, 0x7feeffe1, 0xfbe09b80,
-  0x7fee2e30, 0xfbc77cf0,
-  0x7fed5791, 0xfbae5e89, 0x7fec7c02, 0xfb95404d, 0x7feb9b85, 0xfb7c223d,
-  0x7feab61a, 0xfb630459,
-  0x7fe9cbc0, 0xfb49e6a3, 0x7fe8dc78, 0xfb30c91b, 0x7fe7e841, 0xfb17abc2,
-  0x7fe6ef1c, 0xfafe8e9b,
-  0x7fe5f108, 0xfae571a4, 0x7fe4ee06, 0xfacc54e0, 0x7fe3e616, 0xfab3384f,
-  0x7fe2d938, 0xfa9a1bf3,
-  0x7fe1c76b, 0xfa80ffcb, 0x7fe0b0b1, 0xfa67e3da, 0x7fdf9508, 0xfa4ec821,
-  0x7fde7471, 0xfa35ac9f,
-  0x7fdd4eec, 0xfa1c9157, 0x7fdc247a, 0xfa037648, 0x7fdaf519, 0xf9ea5b75,
-  0x7fd9c0ca, 0xf9d140de,
-  0x7fd8878e, 0xf9b82684, 0x7fd74964, 0xf99f0c68, 0x7fd6064c, 0xf985f28a,
-  0x7fd4be46, 0xf96cd8ed,
-  0x7fd37153, 0xf953bf91, 0x7fd21f72, 0xf93aa676, 0x7fd0c8a3, 0xf9218d9e,
-  0x7fcf6ce8, 0xf908750a,
-  0x7fce0c3e, 0xf8ef5cbb, 0x7fcca6a7, 0xf8d644b2, 0x7fcb3c23, 0xf8bd2cef,
-  0x7fc9ccb2, 0xf8a41574,
-  0x7fc85854, 0xf88afe42, 0x7fc6df08, 0xf871e759, 0x7fc560cf, 0xf858d0bb,
-  0x7fc3dda9, 0xf83fba68,
-  0x7fc25596, 0xf826a462, 0x7fc0c896, 0xf80d8ea9, 0x7fbf36aa, 0xf7f4793e,
-  0x7fbd9fd0, 0xf7db6423,
-  0x7fbc040a, 0xf7c24f59, 0x7fba6357, 0xf7a93ae0, 0x7fb8bdb8, 0xf79026b9,
-  0x7fb7132b, 0xf77712e5,
-  0x7fb563b3, 0xf75dff66, 0x7fb3af4e, 0xf744ec3b, 0x7fb1f5fc, 0xf72bd967,
-  0x7fb037bf, 0xf712c6ea,
-  0x7fae7495, 0xf6f9b4c6, 0x7facac7f, 0xf6e0a2fa, 0x7faadf7c, 0xf6c79188,
-  0x7fa90d8e, 0xf6ae8071,
-  0x7fa736b4, 0xf6956fb7, 0x7fa55aee, 0xf67c5f59, 0x7fa37a3c, 0xf6634f59,
-  0x7fa1949e, 0xf64a3fb8,
-  0x7f9faa15, 0xf6313077, 0x7f9dbaa0, 0xf6182196, 0x7f9bc640, 0xf5ff1318,
-  0x7f99ccf4, 0xf5e604fc,
-  0x7f97cebd, 0xf5ccf743, 0x7f95cb9a, 0xf5b3e9f0, 0x7f93c38c, 0xf59add02,
-  0x7f91b694, 0xf581d07b,
-  0x7f8fa4b0, 0xf568c45b, 0x7f8d8de1, 0xf54fb8a4, 0x7f8b7227, 0xf536ad56,
-  0x7f895182, 0xf51da273,
-  0x7f872bf3, 0xf50497fb, 0x7f850179, 0xf4eb8def, 0x7f82d214, 0xf4d28451,
-  0x7f809dc5, 0xf4b97b21,
-  0x7f7e648c, 0xf4a07261, 0x7f7c2668, 0xf4876a10, 0x7f79e35a, 0xf46e6231,
-  0x7f779b62, 0xf4555ac5,
-  0x7f754e80, 0xf43c53cb, 0x7f72fcb4, 0xf4234d45, 0x7f70a5fe, 0xf40a4735,
-  0x7f6e4a5e, 0xf3f1419a,
-  0x7f6be9d4, 0xf3d83c77, 0x7f698461, 0xf3bf37cb, 0x7f671a05, 0xf3a63398,
-  0x7f64aabf, 0xf38d2fe0,
-  0x7f62368f, 0xf3742ca2, 0x7f5fbd77, 0xf35b29e0, 0x7f5d3f75, 0xf342279b,
-  0x7f5abc8a, 0xf32925d3,
-  0x7f5834b7, 0xf310248a, 0x7f55a7fa, 0xf2f723c1, 0x7f531655, 0xf2de2379,
-  0x7f507fc7, 0xf2c523b2,
-  0x7f4de451, 0xf2ac246e, 0x7f4b43f2, 0xf29325ad, 0x7f489eaa, 0xf27a2771,
-  0x7f45f47b, 0xf26129ba,
-  0x7f434563, 0xf2482c8a, 0x7f409164, 0xf22f2fe1, 0x7f3dd87c, 0xf21633c0,
-  0x7f3b1aad, 0xf1fd3829,
-  0x7f3857f6, 0xf1e43d1c, 0x7f359057, 0xf1cb429a, 0x7f32c3d1, 0xf1b248a5,
-  0x7f2ff263, 0xf1994f3d,
-  0x7f2d1c0e, 0xf1805662, 0x7f2a40d2, 0xf1675e17, 0x7f2760af, 0xf14e665c,
-  0x7f247ba5, 0xf1356f32,
-  0x7f2191b4, 0xf11c789a, 0x7f1ea2dc, 0xf1038295, 0x7f1baf1e, 0xf0ea8d24,
-  0x7f18b679, 0xf0d19848,
-  0x7f15b8ee, 0xf0b8a401, 0x7f12b67c, 0xf09fb051, 0x7f0faf25, 0xf086bd39,
-  0x7f0ca2e7, 0xf06dcaba,
-  0x7f0991c4, 0xf054d8d5, 0x7f067bba, 0xf03be78a, 0x7f0360cb, 0xf022f6da,
-  0x7f0040f6, 0xf00a06c8,
-  0x7efd1c3c, 0xeff11753, 0x7ef9f29d, 0xefd8287c, 0x7ef6c418, 0xefbf3a45,
-  0x7ef390ae, 0xefa64cae,
-  0x7ef05860, 0xef8d5fb8, 0x7eed1b2c, 0xef747365, 0x7ee9d914, 0xef5b87b5,
-  0x7ee69217, 0xef429caa,
-  0x7ee34636, 0xef29b243, 0x7edff570, 0xef10c883, 0x7edc9fc6, 0xeef7df6a,
-  0x7ed94538, 0xeedef6f9,
-  0x7ed5e5c6, 0xeec60f31, 0x7ed28171, 0xeead2813, 0x7ecf1837, 0xee9441a0,
-  0x7ecbaa1a, 0xee7b5bd9,
-  0x7ec8371a, 0xee6276bf, 0x7ec4bf36, 0xee499253, 0x7ec14270, 0xee30ae96,
-  0x7ebdc0c6, 0xee17cb88,
-  0x7eba3a39, 0xedfee92b, 0x7eb6aeca, 0xede60780, 0x7eb31e78, 0xedcd2687,
-  0x7eaf8943, 0xedb44642,
-  0x7eabef2c, 0xed9b66b2, 0x7ea85033, 0xed8287d7, 0x7ea4ac58, 0xed69a9b3,
-  0x7ea1039b, 0xed50cc46,
-  0x7e9d55fc, 0xed37ef91, 0x7e99a37c, 0xed1f1396, 0x7e95ec1a, 0xed063856,
-  0x7e922fd6, 0xeced5dd0,
-  0x7e8e6eb2, 0xecd48407, 0x7e8aa8ac, 0xecbbaafb, 0x7e86ddc6, 0xeca2d2ad,
-  0x7e830dff, 0xec89fb1e,
-  0x7e7f3957, 0xec71244f, 0x7e7b5fce, 0xec584e41, 0x7e778166, 0xec3f78f6,
-  0x7e739e1d, 0xec26a46d,
-  0x7e6fb5f4, 0xec0dd0a8, 0x7e6bc8eb, 0xebf4fda8, 0x7e67d703, 0xebdc2b6e,
-  0x7e63e03b, 0xebc359fb,
-  0x7e5fe493, 0xebaa894f, 0x7e5be40c, 0xeb91b96c, 0x7e57dea7, 0xeb78ea52,
-  0x7e53d462, 0xeb601c04,
-  0x7e4fc53e, 0xeb474e81, 0x7e4bb13c, 0xeb2e81ca, 0x7e47985b, 0xeb15b5e1,
-  0x7e437a9c, 0xeafceac6,
-  0x7e3f57ff, 0xeae4207a, 0x7e3b3083, 0xeacb56ff, 0x7e37042a, 0xeab28e56,
-  0x7e32d2f4, 0xea99c67e,
-  0x7e2e9cdf, 0xea80ff7a, 0x7e2a61ed, 0xea683949, 0x7e26221f, 0xea4f73ee,
-  0x7e21dd73, 0xea36af69,
-  0x7e1d93ea, 0xea1debbb, 0x7e194584, 0xea0528e5, 0x7e14f242, 0xe9ec66e8,
-  0x7e109a24, 0xe9d3a5c5,
-  0x7e0c3d29, 0xe9bae57d, 0x7e07db52, 0xe9a22610, 0x7e0374a0, 0xe9896781,
-  0x7dff0911, 0xe970a9ce,
-  0x7dfa98a8, 0xe957ecfb, 0x7df62362, 0xe93f3107, 0x7df1a942, 0xe92675f4,
-  0x7ded2a47, 0xe90dbbc2,
-  0x7de8a670, 0xe8f50273, 0x7de41dc0, 0xe8dc4a07, 0x7ddf9034, 0xe8c39280,
-  0x7ddafdce, 0xe8aadbde,
-  0x7dd6668f, 0xe8922622, 0x7dd1ca75, 0xe879714d, 0x7dcd2981, 0xe860bd61,
-  0x7dc883b4, 0xe8480a5d,
-  0x7dc3d90d, 0xe82f5844, 0x7dbf298d, 0xe816a716, 0x7dba7534, 0xe7fdf6d4,
-  0x7db5bc02, 0xe7e5477f,
-  0x7db0fdf8, 0xe7cc9917, 0x7dac3b15, 0xe7b3eb9f, 0x7da77359, 0xe79b3f16,
-  0x7da2a6c6, 0xe782937e,
-  0x7d9dd55a, 0xe769e8d8, 0x7d98ff17, 0xe7513f25, 0x7d9423fc, 0xe7389665,
-  0x7d8f4409, 0xe71fee99,
-  0x7d8a5f40, 0xe70747c4, 0x7d85759f, 0xe6eea1e4, 0x7d808728, 0xe6d5fcfc,
-  0x7d7b93da, 0xe6bd590d,
-  0x7d769bb5, 0xe6a4b616, 0x7d719eba, 0xe68c141a, 0x7d6c9ce9, 0xe6737319,
-  0x7d679642, 0xe65ad315,
-  0x7d628ac6, 0xe642340d, 0x7d5d7a74, 0xe6299604, 0x7d58654d, 0xe610f8f9,
-  0x7d534b50, 0xe5f85cef,
-  0x7d4e2c7f, 0xe5dfc1e5, 0x7d4908d9, 0xe5c727dd, 0x7d43e05e, 0xe5ae8ed8,
-  0x7d3eb30f, 0xe595f6d7,
-  0x7d3980ec, 0xe57d5fda, 0x7d3449f5, 0xe564c9e3, 0x7d2f0e2b, 0xe54c34f3,
-  0x7d29cd8c, 0xe533a10a,
-  0x7d24881b, 0xe51b0e2a, 0x7d1f3dd6, 0xe5027c53, 0x7d19eebf, 0xe4e9eb87,
-  0x7d149ad5, 0xe4d15bc6,
-  0x7d0f4218, 0xe4b8cd11, 0x7d09e489, 0xe4a03f69, 0x7d048228, 0xe487b2d0,
-  0x7cff1af5, 0xe46f2745,
-  0x7cf9aef0, 0xe4569ccb, 0x7cf43e1a, 0xe43e1362, 0x7ceec873, 0xe4258b0a,
-  0x7ce94dfb, 0xe40d03c6,
-  0x7ce3ceb2, 0xe3f47d96, 0x7cde4a98, 0xe3dbf87a, 0x7cd8c1ae, 0xe3c37474,
-  0x7cd333f3, 0xe3aaf184,
-  0x7ccda169, 0xe3926fad, 0x7cc80a0f, 0xe379eeed, 0x7cc26de5, 0xe3616f48,
-  0x7cbcccec, 0xe348f0bd,
-  0x7cb72724, 0xe330734d, 0x7cb17c8d, 0xe317f6fa, 0x7cabcd28, 0xe2ff7bc3,
-  0x7ca618f3, 0xe2e701ac,
-  0x7ca05ff1, 0xe2ce88b3, 0x7c9aa221, 0xe2b610da, 0x7c94df83, 0xe29d9a23,
-  0x7c8f1817, 0xe285248d,
-  0x7c894bde, 0xe26cb01b, 0x7c837ad8, 0xe2543ccc, 0x7c7da505, 0xe23bcaa2,
-  0x7c77ca65, 0xe223599e,
-  0x7c71eaf9, 0xe20ae9c1, 0x7c6c06c0, 0xe1f27b0b, 0x7c661dbc, 0xe1da0d7e,
-  0x7c602fec, 0xe1c1a11b,
-  0x7c5a3d50, 0xe1a935e2, 0x7c5445e9, 0xe190cbd4, 0x7c4e49b7, 0xe17862f3,
-  0x7c4848ba, 0xe15ffb3f,
-  0x7c4242f2, 0xe14794ba, 0x7c3c3860, 0xe12f2f63, 0x7c362904, 0xe116cb3d,
-  0x7c3014de, 0xe0fe6848,
-  0x7c29fbee, 0xe0e60685, 0x7c23de35, 0xe0cda5f5, 0x7c1dbbb3, 0xe0b54698,
-  0x7c179467, 0xe09ce871,
-  0x7c116853, 0xe0848b7f, 0x7c0b3777, 0xe06c2fc4, 0x7c0501d2, 0xe053d541,
-  0x7bfec765, 0xe03b7bf6,
-  0x7bf88830, 0xe02323e5, 0x7bf24434, 0xe00acd0e, 0x7bebfb70, 0xdff27773,
-  0x7be5ade6, 0xdfda2314,
-  0x7bdf5b94, 0xdfc1cff3, 0x7bd9047c, 0xdfa97e0f, 0x7bd2a89e, 0xdf912d6b,
-  0x7bcc47fa, 0xdf78de07,
-  0x7bc5e290, 0xdf608fe4, 0x7bbf7860, 0xdf484302, 0x7bb9096b, 0xdf2ff764,
-  0x7bb295b0, 0xdf17ad0a,
-  0x7bac1d31, 0xdeff63f4, 0x7ba59fee, 0xdee71c24, 0x7b9f1de6, 0xdeced59b,
-  0x7b989719, 0xdeb69059,
-  0x7b920b89, 0xde9e4c60, 0x7b8b7b36, 0xde8609b1, 0x7b84e61f, 0xde6dc84b,
-  0x7b7e4c45, 0xde558831,
-  0x7b77ada8, 0xde3d4964, 0x7b710a49, 0xde250be3, 0x7b6a6227, 0xde0ccfb1,
-  0x7b63b543, 0xddf494ce,
-  0x7b5d039e, 0xdddc5b3b, 0x7b564d36, 0xddc422f8, 0x7b4f920e, 0xddabec08,
-  0x7b48d225, 0xdd93b66a,
-  0x7b420d7a, 0xdd7b8220, 0x7b3b4410, 0xdd634f2b, 0x7b3475e5, 0xdd4b1d8c,
-  0x7b2da2fa, 0xdd32ed43,
-  0x7b26cb4f, 0xdd1abe51, 0x7b1feee5, 0xdd0290b8, 0x7b190dbc, 0xdcea6478,
-  0x7b1227d3, 0xdcd23993,
-  0x7b0b3d2c, 0xdcba1008, 0x7b044dc7, 0xdca1e7da, 0x7afd59a4, 0xdc89c109,
-  0x7af660c2, 0xdc719b96,
-  0x7aef6323, 0xdc597781, 0x7ae860c7, 0xdc4154cd, 0x7ae159ae, 0xdc293379,
-  0x7ada4dd8, 0xdc111388,
-  0x7ad33d45, 0xdbf8f4f8, 0x7acc27f7, 0xdbe0d7cd, 0x7ac50dec, 0xdbc8bc06,
-  0x7abdef25, 0xdbb0a1a4,
-  0x7ab6cba4, 0xdb9888a8, 0x7aafa367, 0xdb807114, 0x7aa8766f, 0xdb685ae9,
-  0x7aa144bc, 0xdb504626,
-  0x7a9a0e50, 0xdb3832cd, 0x7a92d329, 0xdb2020e0, 0x7a8b9348, 0xdb08105e,
-  0x7a844eae, 0xdaf00149,
-  0x7a7d055b, 0xdad7f3a2, 0x7a75b74f, 0xdabfe76a, 0x7a6e648a, 0xdaa7dca1,
-  0x7a670d0d, 0xda8fd349,
-  0x7a5fb0d8, 0xda77cb63, 0x7a584feb, 0xda5fc4ef, 0x7a50ea47, 0xda47bfee,
-  0x7a497feb, 0xda2fbc61,
-  0x7a4210d8, 0xda17ba4a, 0x7a3a9d0f, 0xd9ffb9a9, 0x7a332490, 0xd9e7ba7f,
-  0x7a2ba75a, 0xd9cfbccd,
-  0x7a24256f, 0xd9b7c094, 0x7a1c9ece, 0xd99fc5d4, 0x7a151378, 0xd987cc90,
-  0x7a0d836d, 0xd96fd4c7,
-  0x7a05eead, 0xd957de7a, 0x79fe5539, 0xd93fe9ab, 0x79f6b711, 0xd927f65b,
-  0x79ef1436, 0xd910048a,
-  0x79e76ca7, 0xd8f81439, 0x79dfc064, 0xd8e0256a, 0x79d80f6f, 0xd8c8381d,
-  0x79d059c8, 0xd8b04c52,
-  0x79c89f6e, 0xd898620c, 0x79c0e062, 0xd880794b, 0x79b91ca4, 0xd868920f,
-  0x79b15435, 0xd850ac5a,
-  0x79a98715, 0xd838c82d, 0x79a1b545, 0xd820e589, 0x7999dec4, 0xd809046e,
-  0x79920392, 0xd7f124dd,
-  0x798a23b1, 0xd7d946d8, 0x79823f20, 0xd7c16a5f, 0x797a55e0, 0xd7a98f73,
-  0x797267f2, 0xd791b616,
-  0x796a7554, 0xd779de47, 0x79627e08, 0xd7620808, 0x795a820e, 0xd74a335b,
-  0x79528167, 0xd732603f,
-  0x794a7c12, 0xd71a8eb5, 0x79427210, 0xd702bec0, 0x793a6361, 0xd6eaf05f,
-  0x79325006, 0xd6d32393,
-  0x792a37fe, 0xd6bb585e, 0x79221b4b, 0xd6a38ec0, 0x7919f9ec, 0xd68bc6ba,
-  0x7911d3e2, 0xd674004e,
-  0x7909a92d, 0xd65c3b7b, 0x790179cd, 0xd6447844, 0x78f945c3, 0xd62cb6a8,
-  0x78f10d0f, 0xd614f6a9,
-  0x78e8cfb2, 0xd5fd3848, 0x78e08dab, 0xd5e57b85, 0x78d846fb, 0xd5cdc062,
-  0x78cffba3, 0xd5b606e0,
-  0x78c7aba2, 0xd59e4eff, 0x78bf56f9, 0xd58698c0, 0x78b6fda8, 0xd56ee424,
-  0x78ae9fb0, 0xd557312d,
-  0x78a63d11, 0xd53f7fda, 0x789dd5cb, 0xd527d02e, 0x789569df, 0xd5102228,
-  0x788cf94c, 0xd4f875ca,
-  0x78848414, 0xd4e0cb15, 0x787c0a36, 0xd4c92209, 0x78738bb3, 0xd4b17aa8,
-  0x786b088c, 0xd499d4f2,
-  0x786280bf, 0xd48230e9, 0x7859f44f, 0xd46a8e8d, 0x7851633b, 0xd452eddf,
-  0x7848cd83, 0xd43b4ee0,
-  0x78403329, 0xd423b191, 0x7837942b, 0xd40c15f3, 0x782ef08b, 0xd3f47c06,
-  0x78264849, 0xd3dce3cd,
-  0x781d9b65, 0xd3c54d47, 0x7814e9df, 0xd3adb876, 0x780c33b8, 0xd396255a,
-  0x780378f1, 0xd37e93f4,
-  0x77fab989, 0xd3670446, 0x77f1f581, 0xd34f764f, 0x77e92cd9, 0xd337ea12,
-  0x77e05f91, 0xd3205f8f,
-  0x77d78daa, 0xd308d6c7, 0x77ceb725, 0xd2f14fba, 0x77c5dc01, 0xd2d9ca6a,
-  0x77bcfc3f, 0xd2c246d8,
-  0x77b417df, 0xd2aac504, 0x77ab2ee2, 0xd29344f0, 0x77a24148, 0xd27bc69c,
-  0x77994f11, 0xd2644a0a,
-  0x7790583e, 0xd24ccf39, 0x77875cce, 0xd235562b, 0x777e5cc3, 0xd21ddee2,
-  0x7775581d, 0xd206695d,
-  0x776c4edb, 0xd1eef59e, 0x776340ff, 0xd1d783a6, 0x775a2e89, 0xd1c01375,
-  0x77511778, 0xd1a8a50d,
-  0x7747fbce, 0xd191386e, 0x773edb8b, 0xd179cd99, 0x7735b6af, 0xd1626490,
-  0x772c8d3a, 0xd14afd52,
-  0x77235f2d, 0xd13397e2, 0x771a2c88, 0xd11c343f, 0x7710f54c, 0xd104d26b,
-  0x7707b979, 0xd0ed7267,
-  0x76fe790e, 0xd0d61434, 0x76f5340e, 0xd0beb7d2, 0x76ebea77, 0xd0a75d42,
-  0x76e29c4b, 0xd0900486,
-  0x76d94989, 0xd078ad9e, 0x76cff232, 0xd061588b, 0x76c69647, 0xd04a054e,
-  0x76bd35c7, 0xd032b3e7,
-  0x76b3d0b4, 0xd01b6459, 0x76aa670d, 0xd00416a3, 0x76a0f8d2, 0xcfeccac7,
-  0x76978605, 0xcfd580c6,
-  0x768e0ea6, 0xcfbe389f, 0x768492b4, 0xcfa6f255, 0x767b1231, 0xcf8fade9,
-  0x76718d1c, 0xcf786b5a,
-  0x76680376, 0xcf612aaa, 0x765e7540, 0xcf49ebda, 0x7654e279, 0xcf32aeeb,
-  0x764b4b23, 0xcf1b73de,
-  0x7641af3d, 0xcf043ab3, 0x76380ec8, 0xceed036b, 0x762e69c4, 0xced5ce08,
-  0x7624c031, 0xcebe9a8a,
-  0x761b1211, 0xcea768f2, 0x76115f63, 0xce903942, 0x7607a828, 0xce790b79,
-  0x75fdec60, 0xce61df99,
-  0x75f42c0b, 0xce4ab5a2, 0x75ea672a, 0xce338d97, 0x75e09dbd, 0xce1c6777,
-  0x75d6cfc5, 0xce054343,
-  0x75ccfd42, 0xcdee20fc, 0x75c32634, 0xcdd700a4, 0x75b94a9c, 0xcdbfe23a,
-  0x75af6a7b, 0xcda8c5c1,
-  0x75a585cf, 0xcd91ab39, 0x759b9c9b, 0xcd7a92a2, 0x7591aedd, 0xcd637bfe,
-  0x7587bc98, 0xcd4c674d,
-  0x757dc5ca, 0xcd355491, 0x7573ca75, 0xcd1e43ca, 0x7569ca99, 0xcd0734f9,
-  0x755fc635, 0xccf0281f,
-  0x7555bd4c, 0xccd91d3d, 0x754bafdc, 0xccc21455, 0x75419de7, 0xccab0d65,
-  0x7537876c, 0xcc940871,
-  0x752d6c6c, 0xcc7d0578, 0x75234ce8, 0xcc66047b, 0x751928e0, 0xcc4f057c,
-  0x750f0054, 0xcc38087b,
-  0x7504d345, 0xcc210d79, 0x74faa1b3, 0xcc0a1477, 0x74f06b9e, 0xcbf31d75,
-  0x74e63108, 0xcbdc2876,
-  0x74dbf1ef, 0xcbc53579, 0x74d1ae55, 0xcbae447f, 0x74c7663a, 0xcb97558a,
-  0x74bd199f, 0xcb80689a,
-  0x74b2c884, 0xcb697db0, 0x74a872e8, 0xcb5294ce, 0x749e18cd, 0xcb3badf3,
-  0x7493ba34, 0xcb24c921,
-  0x7489571c, 0xcb0de658, 0x747eef85, 0xcaf7059a, 0x74748371, 0xcae026e8,
-  0x746a12df, 0xcac94a42,
-  0x745f9dd1, 0xcab26fa9, 0x74552446, 0xca9b971e, 0x744aa63f, 0xca84c0a3,
-  0x744023bc, 0xca6dec37,
-  0x74359cbd, 0xca5719db, 0x742b1144, 0xca404992, 0x74208150, 0xca297b5a,
-  0x7415ece2, 0xca12af37,
-  0x740b53fb, 0xc9fbe527, 0x7400b69a, 0xc9e51d2d, 0x73f614c0, 0xc9ce5748,
-  0x73eb6e6e, 0xc9b7937a,
-  0x73e0c3a3, 0xc9a0d1c5, 0x73d61461, 0xc98a1227, 0x73cb60a8, 0xc97354a4,
-  0x73c0a878, 0xc95c993a,
-  0x73b5ebd1, 0xc945dfec, 0x73ab2ab4, 0xc92f28ba, 0x73a06522, 0xc91873a5,
-  0x73959b1b, 0xc901c0ae,
-  0x738acc9e, 0xc8eb0fd6, 0x737ff9ae, 0xc8d4611d, 0x73752249, 0xc8bdb485,
-  0x736a4671, 0xc8a70a0e,
-  0x735f6626, 0xc89061ba, 0x73548168, 0xc879bb89, 0x73499838, 0xc863177b,
-  0x733eaa96, 0xc84c7593,
-  0x7333b883, 0xc835d5d0, 0x7328c1ff, 0xc81f3834, 0x731dc70a, 0xc8089cbf,
-  0x7312c7a5, 0xc7f20373,
-  0x7307c3d0, 0xc7db6c50, 0x72fcbb8c, 0xc7c4d757, 0x72f1aed9, 0xc7ae4489,
-  0x72e69db7, 0xc797b3e7,
-  0x72db8828, 0xc7812572, 0x72d06e2b, 0xc76a992a, 0x72c54fc1, 0xc7540f11,
-  0x72ba2cea, 0xc73d8727,
-  0x72af05a7, 0xc727016d, 0x72a3d9f7, 0xc7107de4, 0x7298a9dd, 0xc6f9fc8d,
-  0x728d7557, 0xc6e37d69,
-  0x72823c67, 0xc6cd0079, 0x7276ff0d, 0xc6b685bd, 0x726bbd48, 0xc6a00d37,
-  0x7260771b, 0xc68996e7,
-  0x72552c85, 0xc67322ce, 0x7249dd86, 0xc65cb0ed, 0x723e8a20, 0xc6464144,
-  0x72333251, 0xc62fd3d6,
-  0x7227d61c, 0xc61968a2, 0x721c7580, 0xc602ffaa, 0x7211107e, 0xc5ec98ee,
-  0x7205a716, 0xc5d6346f,
-  0x71fa3949, 0xc5bfd22e, 0x71eec716, 0xc5a9722c, 0x71e35080, 0xc593146a,
-  0x71d7d585, 0xc57cb8e9,
-  0x71cc5626, 0xc5665fa9, 0x71c0d265, 0xc55008ab, 0x71b54a41, 0xc539b3f1,
-  0x71a9bdba, 0xc523617a,
-  0x719e2cd2, 0xc50d1149, 0x71929789, 0xc4f6c35d, 0x7186fdde, 0xc4e077b8,
-  0x717b5fd3, 0xc4ca2e5b,
-  0x716fbd68, 0xc4b3e746, 0x7164169d, 0xc49da27a, 0x71586b74, 0xc4875ff9,
-  0x714cbbeb, 0xc4711fc2,
-  0x71410805, 0xc45ae1d7, 0x71354fc0, 0xc444a639, 0x7129931f, 0xc42e6ce8,
-  0x711dd220, 0xc41835e6,
-  0x71120cc5, 0xc4020133, 0x7106430e, 0xc3ebced0, 0x70fa74fc, 0xc3d59ebe,
-  0x70eea28e, 0xc3bf70fd,
-  0x70e2cbc6, 0xc3a94590, 0x70d6f0a4, 0xc3931c76, 0x70cb1128, 0xc37cf5b0,
-  0x70bf2d53, 0xc366d140,
-  0x70b34525, 0xc350af26, 0x70a7589f, 0xc33a8f62, 0x709b67c0, 0xc32471f7,
-  0x708f728b, 0xc30e56e4,
-  0x708378ff, 0xc2f83e2a, 0x70777b1c, 0xc2e227cb, 0x706b78e3, 0xc2cc13c7,
-  0x705f7255, 0xc2b6021f,
-  0x70536771, 0xc29ff2d4, 0x70475839, 0xc289e5e7, 0x703b44ad, 0xc273db58,
-  0x702f2ccd, 0xc25dd329,
-  0x7023109a, 0xc247cd5a, 0x7016f014, 0xc231c9ec, 0x700acb3c, 0xc21bc8e1,
-  0x6ffea212, 0xc205ca38,
-  0x6ff27497, 0xc1efcdf3, 0x6fe642ca, 0xc1d9d412, 0x6fda0cae, 0xc1c3dc97,
-  0x6fcdd241, 0xc1ade781,
-  0x6fc19385, 0xc197f4d4, 0x6fb5507a, 0xc182048d, 0x6fa90921, 0xc16c16b0,
-  0x6f9cbd79, 0xc1562b3d,
-  0x6f906d84, 0xc1404233, 0x6f841942, 0xc12a5b95, 0x6f77c0b3, 0xc1147764,
-  0x6f6b63d8, 0xc0fe959f,
-  0x6f5f02b2, 0xc0e8b648, 0x6f529d40, 0xc0d2d960, 0x6f463383, 0xc0bcfee7,
-  0x6f39c57d, 0xc0a726df,
-  0x6f2d532c, 0xc0915148, 0x6f20dc92, 0xc07b7e23, 0x6f1461b0, 0xc065ad70,
-  0x6f07e285, 0xc04fdf32,
-  0x6efb5f12, 0xc03a1368, 0x6eeed758, 0xc0244a14, 0x6ee24b57, 0xc00e8336,
-  0x6ed5bb10, 0xbff8bece,
-  0x6ec92683, 0xbfe2fcdf, 0x6ebc8db0, 0xbfcd3d69, 0x6eaff099, 0xbfb7806c,
-  0x6ea34f3d, 0xbfa1c5ea,
-  0x6e96a99d, 0xbf8c0de3, 0x6e89ffb9, 0xbf765858, 0x6e7d5193, 0xbf60a54a,
-  0x6e709f2a, 0xbf4af4ba,
-  0x6e63e87f, 0xbf3546a8, 0x6e572d93, 0xbf1f9b16, 0x6e4a6e66, 0xbf09f205,
-  0x6e3daaf8, 0xbef44b74,
-  0x6e30e34a, 0xbedea765, 0x6e24175c, 0xbec905d9, 0x6e174730, 0xbeb366d1,
-  0x6e0a72c5, 0xbe9dca4e,
-  0x6dfd9a1c, 0xbe88304f, 0x6df0bd35, 0xbe7298d7, 0x6de3dc11, 0xbe5d03e6,
-  0x6dd6f6b1, 0xbe47717c,
-  0x6dca0d14, 0xbe31e19b, 0x6dbd1f3c, 0xbe1c5444, 0x6db02d29, 0xbe06c977,
-  0x6da336dc, 0xbdf14135,
-  0x6d963c54, 0xbddbbb7f, 0x6d893d93, 0xbdc63856, 0x6d7c3a98, 0xbdb0b7bb,
-  0x6d6f3365, 0xbd9b39ad,
-  0x6d6227fa, 0xbd85be30, 0x6d551858, 0xbd704542, 0x6d48047e, 0xbd5acee5,
-  0x6d3aec6e, 0xbd455b1a,
-  0x6d2dd027, 0xbd2fe9e2, 0x6d20afac, 0xbd1a7b3d, 0x6d138afb, 0xbd050f2c,
-  0x6d066215, 0xbcefa5b0,
-  0x6cf934fc, 0xbcda3ecb, 0x6cec03af, 0xbcc4da7b, 0x6cdece2f, 0xbcaf78c4,
-  0x6cd1947c, 0xbc9a19a5,
-  0x6cc45698, 0xbc84bd1f, 0x6cb71482, 0xbc6f6333, 0x6ca9ce3b, 0xbc5a0be2,
-  0x6c9c83c3, 0xbc44b72c,
-  0x6c8f351c, 0xbc2f6513, 0x6c81e245, 0xbc1a1598, 0x6c748b3f, 0xbc04c8ba,
-  0x6c67300b, 0xbbef7e7c,
-  0x6c59d0a9, 0xbbda36dd, 0x6c4c6d1a, 0xbbc4f1df, 0x6c3f055d, 0xbbafaf82,
-  0x6c319975, 0xbb9a6fc7,
-  0x6c242960, 0xbb8532b0, 0x6c16b521, 0xbb6ff83c, 0x6c093cb6, 0xbb5ac06d,
-  0x6bfbc021, 0xbb458b43,
-  0x6bee3f62, 0xbb3058c0, 0x6be0ba7b, 0xbb1b28e4, 0x6bd3316a, 0xbb05fbb0,
-  0x6bc5a431, 0xbaf0d125,
-  0x6bb812d1, 0xbadba943, 0x6baa7d49, 0xbac6840c, 0x6b9ce39b, 0xbab16180,
-  0x6b8f45c7, 0xba9c41a0,
-  0x6b81a3cd, 0xba87246d, 0x6b73fdae, 0xba7209e7, 0x6b66536b, 0xba5cf210,
-  0x6b58a503, 0xba47dce8,
-  0x6b4af279, 0xba32ca71, 0x6b3d3bcb, 0xba1dbaaa, 0x6b2f80fb, 0xba08ad95,
-  0x6b21c208, 0xb9f3a332,
-  0x6b13fef5, 0xb9de9b83, 0x6b0637c1, 0xb9c99688, 0x6af86c6c, 0xb9b49442,
-  0x6aea9cf8, 0xb99f94b2,
-  0x6adcc964, 0xb98a97d8, 0x6acef1b2, 0xb9759db6, 0x6ac115e2, 0xb960a64c,
-  0x6ab335f4, 0xb94bb19b,
-  0x6aa551e9, 0xb936bfa4, 0x6a9769c1, 0xb921d067, 0x6a897d7d, 0xb90ce3e6,
-  0x6a7b8d1e, 0xb8f7fa21,
-  0x6a6d98a4, 0xb8e31319, 0x6a5fa010, 0xb8ce2ecf, 0x6a51a361, 0xb8b94d44,
-  0x6a43a29a, 0xb8a46e78,
-  0x6a359db9, 0xb88f926d, 0x6a2794c1, 0xb87ab922, 0x6a1987b0, 0xb865e299,
-  0x6a0b7689, 0xb8510ed4,
-  0x69fd614a, 0xb83c3dd1, 0x69ef47f6, 0xb8276f93, 0x69e12a8c, 0xb812a41a,
-  0x69d3090e, 0xb7fddb67,
-  0x69c4e37a, 0xb7e9157a, 0x69b6b9d3, 0xb7d45255, 0x69a88c19, 0xb7bf91f8,
-  0x699a5a4c, 0xb7aad465,
-  0x698c246c, 0xb796199b, 0x697dea7b, 0xb781619c, 0x696fac78, 0xb76cac69,
-  0x69616a65, 0xb757fa01,
-  0x69532442, 0xb7434a67, 0x6944da10, 0xb72e9d9b, 0x69368bce, 0xb719f39e,
-  0x6928397e, 0xb7054c6f,
-  0x6919e320, 0xb6f0a812, 0x690b88b5, 0xb6dc0685, 0x68fd2a3d, 0xb6c767ca,
-  0x68eec7b9, 0xb6b2cbe2,
-  0x68e06129, 0xb69e32cd, 0x68d1f68f, 0xb6899c8d, 0x68c387e9, 0xb6750921,
-  0x68b5153a, 0xb660788c,
-  0x68a69e81, 0xb64beacd, 0x689823bf, 0xb6375fe5, 0x6889a4f6, 0xb622d7d6,
-  0x687b2224, 0xb60e529f,
-  0x686c9b4b, 0xb5f9d043, 0x685e106c, 0xb5e550c1, 0x684f8186, 0xb5d0d41a,
-  0x6840ee9b, 0xb5bc5a50,
-  0x683257ab, 0xb5a7e362, 0x6823bcb7, 0xb5936f53, 0x68151dbe, 0xb57efe22,
-  0x68067ac3, 0xb56a8fd0,
-  0x67f7d3c5, 0xb556245e, 0x67e928c5, 0xb541bbcd, 0x67da79c3, 0xb52d561e,
-  0x67cbc6c0, 0xb518f351,
-  0x67bd0fbd, 0xb5049368, 0x67ae54ba, 0xb4f03663, 0x679f95b7, 0xb4dbdc42,
-  0x6790d2b6, 0xb4c78507,
-  0x67820bb7, 0xb4b330b3, 0x677340ba, 0xb49edf45, 0x676471c0, 0xb48a90c0,
-  0x67559eca, 0xb4764523,
-  0x6746c7d8, 0xb461fc70, 0x6737ecea, 0xb44db6a8, 0x67290e02, 0xb43973ca,
-  0x671a2b20, 0xb42533d8,
-  0x670b4444, 0xb410f6d3, 0x66fc596f, 0xb3fcbcbb, 0x66ed6aa1, 0xb3e88592,
-  0x66de77dc, 0xb3d45157,
-  0x66cf8120, 0xb3c0200c, 0x66c0866d, 0xb3abf1b2, 0x66b187c3, 0xb397c649,
-  0x66a28524, 0xb3839dd3,
-  0x66937e91, 0xb36f784f, 0x66847408, 0xb35b55bf, 0x6675658c, 0xb3473623,
-  0x6666531d, 0xb333197c,
-  0x66573cbb, 0xb31effcc, 0x66482267, 0xb30ae912, 0x66390422, 0xb2f6d550,
-  0x6629e1ec, 0xb2e2c486,
-  0x661abbc5, 0xb2ceb6b5, 0x660b91af, 0xb2baabde, 0x65fc63a9, 0xb2a6a402,
-  0x65ed31b5, 0xb2929f21,
-  0x65ddfbd3, 0xb27e9d3c, 0x65cec204, 0xb26a9e54, 0x65bf8447, 0xb256a26a,
-  0x65b0429f, 0xb242a97e,
-  0x65a0fd0b, 0xb22eb392, 0x6591b38c, 0xb21ac0a6, 0x65826622, 0xb206d0ba,
-  0x657314cf, 0xb1f2e3d0,
-  0x6563bf92, 0xb1def9e9, 0x6554666d, 0xb1cb1304, 0x6545095f, 0xb1b72f23,
-  0x6535a86b, 0xb1a34e47,
-  0x6526438f, 0xb18f7071, 0x6516dacd, 0xb17b95a0, 0x65076e25, 0xb167bdd7,
-  0x64f7fd98, 0xb153e915,
-  0x64e88926, 0xb140175b, 0x64d910d1, 0xb12c48ab, 0x64c99498, 0xb1187d05,
-  0x64ba147d, 0xb104b46a,
-  0x64aa907f, 0xb0f0eeda, 0x649b08a0, 0xb0dd2c56, 0x648b7ce0, 0xb0c96ce0,
-  0x647bed3f, 0xb0b5b077,
-  0x646c59bf, 0xb0a1f71d, 0x645cc260, 0xb08e40d2, 0x644d2722, 0xb07a8d97,
-  0x643d8806, 0xb066dd6d,
-  0x642de50d, 0xb0533055, 0x641e3e38, 0xb03f864f, 0x640e9386, 0xb02bdf5c,
-  0x63fee4f8, 0xb0183b7d,
-  0x63ef3290, 0xb0049ab3, 0x63df7c4d, 0xaff0fcfe, 0x63cfc231, 0xafdd625f,
-  0x63c0043b, 0xafc9cad7,
-  0x63b0426d, 0xafb63667, 0x63a07cc7, 0xafa2a50f, 0x6390b34a, 0xaf8f16d1,
-  0x6380e5f6, 0xaf7b8bac,
-  0x637114cc, 0xaf6803a2, 0x63613fcd, 0xaf547eb3, 0x635166f9, 0xaf40fce1,
-  0x63418a50, 0xaf2d7e2b,
-  0x6331a9d4, 0xaf1a0293, 0x6321c585, 0xaf068a1a, 0x6311dd64, 0xaef314c0,
-  0x6301f171, 0xaedfa285,
-  0x62f201ac, 0xaecc336c, 0x62e20e17, 0xaeb8c774, 0x62d216b3, 0xaea55e9e,
-  0x62c21b7e, 0xae91f8eb,
-  0x62b21c7b, 0xae7e965b, 0x62a219aa, 0xae6b36f0, 0x6292130c, 0xae57daab,
-  0x628208a1, 0xae44818b,
-  0x6271fa69, 0xae312b92, 0x6261e866, 0xae1dd8c0, 0x6251d298, 0xae0a8916,
-  0x6241b8ff, 0xadf73c96,
-  0x62319b9d, 0xade3f33e, 0x62217a72, 0xadd0ad12, 0x6211557e, 0xadbd6a10,
-  0x62012cc2, 0xadaa2a3b,
-  0x61f1003f, 0xad96ed92, 0x61e0cff5, 0xad83b416, 0x61d09be5, 0xad707dc8,
-  0x61c06410, 0xad5d4aaa,
-  0x61b02876, 0xad4a1aba, 0x619fe918, 0xad36edfc, 0x618fa5f7, 0xad23c46e,
-  0x617f5f12, 0xad109e12,
-  0x616f146c, 0xacfd7ae8, 0x615ec603, 0xacea5af2, 0x614e73da, 0xacd73e30,
-  0x613e1df0, 0xacc424a3,
-  0x612dc447, 0xacb10e4b, 0x611d66de, 0xac9dfb29, 0x610d05b7, 0xac8aeb3e,
-  0x60fca0d2, 0xac77de8b,
-  0x60ec3830, 0xac64d510, 0x60dbcbd1, 0xac51cecf, 0x60cb5bb7, 0xac3ecbc7,
-  0x60bae7e1, 0xac2bcbfa,
-  0x60aa7050, 0xac18cf69, 0x6099f505, 0xac05d613, 0x60897601, 0xabf2dffb,
-  0x6078f344, 0xabdfed1f,
-  0x60686ccf, 0xabccfd83, 0x6057e2a2, 0xabba1125, 0x604754bf, 0xaba72807,
-  0x6036c325, 0xab944229,
-  0x60262dd6, 0xab815f8d, 0x601594d1, 0xab6e8032, 0x6004f819, 0xab5ba41a,
-  0x5ff457ad, 0xab48cb46,
-  0x5fe3b38d, 0xab35f5b5, 0x5fd30bbc, 0xab23236a, 0x5fc26038, 0xab105464,
-  0x5fb1b104, 0xaafd88a4,
-  0x5fa0fe1f, 0xaaeac02c, 0x5f90478a, 0xaad7fafb, 0x5f7f8d46, 0xaac53912,
-  0x5f6ecf53, 0xaab27a73,
-  0x5f5e0db3, 0xaa9fbf1e, 0x5f4d4865, 0xaa8d0713, 0x5f3c7f6b, 0xaa7a5253,
-  0x5f2bb2c5, 0xaa67a0e0,
-  0x5f1ae274, 0xaa54f2ba, 0x5f0a0e77, 0xaa4247e1, 0x5ef936d1, 0xaa2fa056,
-  0x5ee85b82, 0xaa1cfc1a,
-  0x5ed77c8a, 0xaa0a5b2e, 0x5ec699e9, 0xa9f7bd92, 0x5eb5b3a2, 0xa9e52347,
-  0x5ea4c9b3, 0xa9d28c4e,
-  0x5e93dc1f, 0xa9bff8a8, 0x5e82eae5, 0xa9ad6855, 0x5e71f606, 0xa99adb56,
-  0x5e60fd84, 0xa98851ac,
-  0x5e50015d, 0xa975cb57, 0x5e3f0194, 0xa9634858, 0x5e2dfe29, 0xa950c8b0,
-  0x5e1cf71c, 0xa93e4c5f,
-  0x5e0bec6e, 0xa92bd367, 0x5dfade20, 0xa9195dc7, 0x5de9cc33, 0xa906eb82,
-  0x5dd8b6a7, 0xa8f47c97,
-  0x5dc79d7c, 0xa8e21106, 0x5db680b4, 0xa8cfa8d2, 0x5da5604f, 0xa8bd43fa,
-  0x5d943c4e, 0xa8aae280,
-  0x5d8314b1, 0xa8988463, 0x5d71e979, 0xa88629a5, 0x5d60baa7, 0xa873d246,
-  0x5d4f883b, 0xa8617e48,
-  0x5d3e5237, 0xa84f2daa, 0x5d2d189a, 0xa83ce06e, 0x5d1bdb65, 0xa82a9693,
-  0x5d0a9a9a, 0xa818501c,
-  0x5cf95638, 0xa8060d08, 0x5ce80e41, 0xa7f3cd59, 0x5cd6c2b5, 0xa7e1910f,
-  0x5cc57394, 0xa7cf582a,
-  0x5cb420e0, 0xa7bd22ac, 0x5ca2ca99, 0xa7aaf094, 0x5c9170bf, 0xa798c1e5,
-  0x5c801354, 0xa786969e,
-  0x5c6eb258, 0xa7746ec0, 0x5c5d4dcc, 0xa7624a4d, 0x5c4be5b0, 0xa7502943,
-  0x5c3a7a05, 0xa73e0ba5,
-  0x5c290acc, 0xa72bf174, 0x5c179806, 0xa719daae, 0x5c0621b2, 0xa707c757,
-  0x5bf4a7d2, 0xa6f5b76d,
-  0x5be32a67, 0xa6e3aaf2, 0x5bd1a971, 0xa6d1a1e7, 0x5bc024f0, 0xa6bf9c4b,
-  0x5bae9ce7, 0xa6ad9a21,
-  0x5b9d1154, 0xa69b9b68, 0x5b8b8239, 0xa689a022, 0x5b79ef96, 0xa677a84e,
-  0x5b68596d, 0xa665b3ee,
-  0x5b56bfbd, 0xa653c303, 0x5b452288, 0xa641d58c, 0x5b3381ce, 0xa62feb8b,
-  0x5b21dd90, 0xa61e0501,
-  0x5b1035cf, 0xa60c21ee, 0x5afe8a8b, 0xa5fa4252, 0x5aecdbc5, 0xa5e8662f,
-  0x5adb297d, 0xa5d68d85,
-  0x5ac973b5, 0xa5c4b855, 0x5ab7ba6c, 0xa5b2e6a0, 0x5aa5fda5, 0xa5a11866,
-  0x5a943d5e, 0xa58f4da8,
-  0x5a82799a, 0xa57d8666, 0x5a70b258, 0xa56bc2a2, 0x5a5ee79a, 0xa55a025b,
-  0x5a4d1960, 0xa5484594,
-  0x5a3b47ab, 0xa5368c4b, 0x5a29727b, 0xa524d683, 0x5a1799d1, 0xa513243b,
-  0x5a05bdae, 0xa5017575,
-  0x59f3de12, 0xa4efca31, 0x59e1faff, 0xa4de2270, 0x59d01475, 0xa4cc7e32,
-  0x59be2a74, 0xa4badd78,
-  0x59ac3cfd, 0xa4a94043, 0x599a4c12, 0xa497a693, 0x598857b2, 0xa486106a,
-  0x59765fde, 0xa4747dc7,
-  0x59646498, 0xa462eeac, 0x595265df, 0xa4516319, 0x594063b5, 0xa43fdb10,
-  0x592e5e19, 0xa42e568f,
-  0x591c550e, 0xa41cd599, 0x590a4893, 0xa40b582e, 0x58f838a9, 0xa3f9de4e,
-  0x58e62552, 0xa3e867fa,
-  0x58d40e8c, 0xa3d6f534, 0x58c1f45b, 0xa3c585fb, 0x58afd6bd, 0xa3b41a50,
-  0x589db5b3, 0xa3a2b234,
-  0x588b9140, 0xa3914da8, 0x58796962, 0xa37fecac, 0x58673e1b, 0xa36e8f41,
-  0x58550f6c, 0xa35d3567,
-  0x5842dd54, 0xa34bdf20, 0x5830a7d6, 0xa33a8c6c, 0x581e6ef1, 0xa3293d4b,
-  0x580c32a7, 0xa317f1bf,
-  0x57f9f2f8, 0xa306a9c8, 0x57e7afe4, 0xa2f56566, 0x57d5696d, 0xa2e4249b,
-  0x57c31f92, 0xa2d2e766,
-  0x57b0d256, 0xa2c1adc9, 0x579e81b8, 0xa2b077c5, 0x578c2dba, 0xa29f4559,
-  0x5779d65b, 0xa28e1687,
-  0x57677b9d, 0xa27ceb4f, 0x57551d80, 0xa26bc3b2, 0x5742bc06, 0xa25a9fb1,
-  0x5730572e, 0xa2497f4c,
-  0x571deefa, 0xa2386284, 0x570b8369, 0xa2274959, 0x56f9147e, 0xa21633cd,
-  0x56e6a239, 0xa20521e0,
-  0x56d42c99, 0xa1f41392, 0x56c1b3a1, 0xa1e308e4, 0x56af3750, 0xa1d201d7,
-  0x569cb7a8, 0xa1c0fe6c,
-  0x568a34a9, 0xa1affea3, 0x5677ae54, 0xa19f027c, 0x566524aa, 0xa18e09fa,
-  0x565297ab, 0xa17d151b,
-  0x56400758, 0xa16c23e1, 0x562d73b2, 0xa15b364d, 0x561adcb9, 0xa14a4c5e,
-  0x5608426e, 0xa1396617,
-  0x55f5a4d2, 0xa1288376, 0x55e303e6, 0xa117a47e, 0x55d05faa, 0xa106c92f,
-  0x55bdb81f, 0xa0f5f189,
-  0x55ab0d46, 0xa0e51d8c, 0x55985f20, 0xa0d44d3b, 0x5585adad, 0xa0c38095,
-  0x5572f8ed, 0xa0b2b79b,
-  0x556040e2, 0xa0a1f24d, 0x554d858d, 0xa09130ad, 0x553ac6ee, 0xa08072ba,
-  0x55280505, 0xa06fb876,
-  0x55153fd4, 0xa05f01e1, 0x5502775c, 0xa04e4efc, 0x54efab9c, 0xa03d9fc8,
-  0x54dcdc96, 0xa02cf444,
-  0x54ca0a4b, 0xa01c4c73, 0x54b734ba, 0xa00ba853, 0x54a45be6, 0x9ffb07e7,
-  0x54917fce, 0x9fea6b2f,
-  0x547ea073, 0x9fd9d22a, 0x546bbdd7, 0x9fc93cdb, 0x5458d7f9, 0x9fb8ab41,
-  0x5445eedb, 0x9fa81d5e,
-  0x5433027d, 0x9f979331, 0x542012e1, 0x9f870cbc, 0x540d2005, 0x9f7689ff,
-  0x53fa29ed, 0x9f660afb,
-  0x53e73097, 0x9f558fb0, 0x53d43406, 0x9f45181f, 0x53c13439, 0x9f34a449,
-  0x53ae3131, 0x9f24342f,
-  0x539b2af0, 0x9f13c7d0, 0x53882175, 0x9f035f2e, 0x537514c2, 0x9ef2fa49,
-  0x536204d7, 0x9ee29922,
-  0x534ef1b5, 0x9ed23bb9, 0x533bdb5d, 0x9ec1e210, 0x5328c1d0, 0x9eb18c26,
-  0x5315a50e, 0x9ea139fd,
-  0x53028518, 0x9e90eb94, 0x52ef61ee, 0x9e80a0ee, 0x52dc3b92, 0x9e705a09,
-  0x52c91204, 0x9e6016e8,
-  0x52b5e546, 0x9e4fd78a, 0x52a2b556, 0x9e3f9bf0, 0x528f8238, 0x9e2f641b,
-  0x527c4bea, 0x9e1f300b,
-  0x5269126e, 0x9e0effc1, 0x5255d5c5, 0x9dfed33e, 0x524295f0, 0x9deeaa82,
-  0x522f52ee, 0x9dde858e,
-  0x521c0cc2, 0x9dce6463, 0x5208c36a, 0x9dbe4701, 0x51f576ea, 0x9dae2d68,
-  0x51e22740, 0x9d9e179a,
-  0x51ced46e, 0x9d8e0597, 0x51bb7e75, 0x9d7df75f, 0x51a82555, 0x9d6decf4,
-  0x5194c910, 0x9d5de656,
-  0x518169a5, 0x9d4de385, 0x516e0715, 0x9d3de482, 0x515aa162, 0x9d2de94d,
-  0x5147388c, 0x9d1df1e9,
-  0x5133cc94, 0x9d0dfe54, 0x51205d7b, 0x9cfe0e8f, 0x510ceb40, 0x9cee229c,
-  0x50f975e6, 0x9cde3a7b,
-  0x50e5fd6d, 0x9cce562c, 0x50d281d5, 0x9cbe75b0, 0x50bf031f, 0x9cae9907,
-  0x50ab814d, 0x9c9ec033,
-  0x5097fc5e, 0x9c8eeb34, 0x50847454, 0x9c7f1a0a, 0x5070e92f, 0x9c6f4cb6,
-  0x505d5af1, 0x9c5f8339,
-  0x5049c999, 0x9c4fbd93, 0x50363529, 0x9c3ffbc5, 0x50229da1, 0x9c303dcf,
-  0x500f0302, 0x9c2083b3,
-  0x4ffb654d, 0x9c10cd70, 0x4fe7c483, 0x9c011b08, 0x4fd420a4, 0x9bf16c7a,
-  0x4fc079b1, 0x9be1c1c8,
-  0x4faccfab, 0x9bd21af3, 0x4f992293, 0x9bc277fa, 0x4f857269, 0x9bb2d8de,
-  0x4f71bf2e, 0x9ba33da0,
-  0x4f5e08e3, 0x9b93a641, 0x4f4a4f89, 0x9b8412c1, 0x4f369320, 0x9b748320,
-  0x4f22d3aa, 0x9b64f760,
-  0x4f0f1126, 0x9b556f81, 0x4efb4b96, 0x9b45eb83, 0x4ee782fb, 0x9b366b68,
-  0x4ed3b755, 0x9b26ef2f,
-  0x4ebfe8a5, 0x9b1776da, 0x4eac16eb, 0x9b080268, 0x4e984229, 0x9af891db,
-  0x4e846a60, 0x9ae92533,
-  0x4e708f8f, 0x9ad9bc71, 0x4e5cb1b9, 0x9aca5795, 0x4e48d0dd, 0x9abaf6a1,
-  0x4e34ecfc, 0x9aab9993,
-  0x4e210617, 0x9a9c406e, 0x4e0d1c30, 0x9a8ceb31, 0x4df92f46, 0x9a7d99de,
-  0x4de53f5a, 0x9a6e4c74,
-  0x4dd14c6e, 0x9a5f02f5, 0x4dbd5682, 0x9a4fbd61, 0x4da95d96, 0x9a407bb9,
-  0x4d9561ac, 0x9a313dfc,
-  0x4d8162c4, 0x9a22042d, 0x4d6d60df, 0x9a12ce4b, 0x4d595bfe, 0x9a039c57,
-  0x4d455422, 0x99f46e51,
-  0x4d31494b, 0x99e5443b, 0x4d1d3b7a, 0x99d61e14, 0x4d092ab0, 0x99c6fbde,
-  0x4cf516ee, 0x99b7dd99,
-  0x4ce10034, 0x99a8c345, 0x4ccce684, 0x9999ace3, 0x4cb8c9dd, 0x998a9a74,
-  0x4ca4aa41, 0x997b8bf8,
-  0x4c9087b1, 0x996c816f, 0x4c7c622d, 0x995d7adc, 0x4c6839b7, 0x994e783d,
-  0x4c540e4e, 0x993f7993,
-  0x4c3fdff4, 0x99307ee0, 0x4c2baea9, 0x99218824, 0x4c177a6e, 0x9912955f,
-  0x4c034345, 0x9903a691,
-  0x4bef092d, 0x98f4bbbc, 0x4bdacc28, 0x98e5d4e0, 0x4bc68c36, 0x98d6f1fe,
-  0x4bb24958, 0x98c81316,
-  0x4b9e0390, 0x98b93828, 0x4b89badd, 0x98aa6136, 0x4b756f40, 0x989b8e40,
-  0x4b6120bb, 0x988cbf46,
-  0x4b4ccf4d, 0x987df449, 0x4b387af9, 0x986f2d4a, 0x4b2423be, 0x98606a49,
-  0x4b0fc99d, 0x9851ab46,
-  0x4afb6c98, 0x9842f043, 0x4ae70caf, 0x98343940, 0x4ad2a9e2, 0x9825863d,
-  0x4abe4433, 0x9816d73b,
-  0x4aa9dba2, 0x98082c3b, 0x4a957030, 0x97f9853d, 0x4a8101de, 0x97eae242,
-  0x4a6c90ad, 0x97dc4349,
-  0x4a581c9e, 0x97cda855, 0x4a43a5b0, 0x97bf1165, 0x4a2f2be6, 0x97b07e7a,
-  0x4a1aaf3f, 0x97a1ef94,
-  0x4a062fbd, 0x979364b5, 0x49f1ad61, 0x9784dddc, 0x49dd282a, 0x97765b0a,
-  0x49c8a01b, 0x9767dc41,
-  0x49b41533, 0x9759617f, 0x499f8774, 0x974aeac6, 0x498af6df, 0x973c7817,
-  0x49766373, 0x972e0971,
-  0x4961cd33, 0x971f9ed7, 0x494d341e, 0x97113847, 0x49389836, 0x9702d5c3,
-  0x4923f97b, 0x96f4774b,
-  0x490f57ee, 0x96e61ce0, 0x48fab391, 0x96d7c682, 0x48e60c62, 0x96c97432,
-  0x48d16265, 0x96bb25f0,
-  0x48bcb599, 0x96acdbbe, 0x48a805ff, 0x969e959b, 0x48935397, 0x96905388,
-  0x487e9e64, 0x96821585,
-  0x4869e665, 0x9673db94, 0x48552b9b, 0x9665a5b4, 0x48406e08, 0x965773e7,
-  0x482badab, 0x9649462d,
-  0x4816ea86, 0x963b1c86, 0x48022499, 0x962cf6f2, 0x47ed5be6, 0x961ed574,
-  0x47d8906d, 0x9610b80a,
-  0x47c3c22f, 0x96029eb6, 0x47aef12c, 0x95f48977, 0x479a1d67, 0x95e67850,
-  0x478546de, 0x95d86b3f,
-  0x47706d93, 0x95ca6247, 0x475b9188, 0x95bc5d66, 0x4746b2bc, 0x95ae5c9f,
-  0x4731d131, 0x95a05ff0,
-  0x471cece7, 0x9592675c, 0x470805df, 0x958472e2, 0x46f31c1a, 0x95768283,
-  0x46de2f99, 0x9568963f,
-  0x46c9405c, 0x955aae17, 0x46b44e65, 0x954cca0c, 0x469f59b4, 0x953eea1e,
-  0x468a624a, 0x95310e4e,
-  0x46756828, 0x9523369c, 0x46606b4e, 0x95156308, 0x464b6bbe, 0x95079394,
-  0x46366978, 0x94f9c83f,
-  0x4621647d, 0x94ec010b, 0x460c5cce, 0x94de3df8, 0x45f7526b, 0x94d07f05,
-  0x45e24556, 0x94c2c435,
-  0x45cd358f, 0x94b50d87, 0x45b82318, 0x94a75afd, 0x45a30df0, 0x9499ac95,
-  0x458df619, 0x948c0252,
-  0x4578db93, 0x947e5c33, 0x4563be60, 0x9470ba39, 0x454e9e80, 0x94631c65,
-  0x45397bf4, 0x945582b7,
-  0x452456bd, 0x9447ed2f, 0x450f2edb, 0x943a5bcf, 0x44fa0450, 0x942cce96,
-  0x44e4d71c, 0x941f4585,
-  0x44cfa740, 0x9411c09e, 0x44ba74bd, 0x94043fdf, 0x44a53f93, 0x93f6c34a,
-  0x449007c4, 0x93e94adf,
-  0x447acd50, 0x93dbd6a0, 0x44659039, 0x93ce668b, 0x4450507e, 0x93c0faa3,
-  0x443b0e21, 0x93b392e6,
-  0x4425c923, 0x93a62f57, 0x44108184, 0x9398cff5, 0x43fb3746, 0x938b74c1,
-  0x43e5ea68, 0x937e1dbb,
-  0x43d09aed, 0x9370cae4, 0x43bb48d4, 0x93637c3d, 0x43a5f41e, 0x935631c5,
-  0x43909ccd, 0x9348eb7e,
-  0x437b42e1, 0x933ba968, 0x4365e65b, 0x932e6b84, 0x4350873c, 0x932131d1,
-  0x433b2585, 0x9313fc51,
-  0x4325c135, 0x9306cb04, 0x43105a50, 0x92f99deb, 0x42faf0d4, 0x92ec7505,
-  0x42e584c3, 0x92df5054,
-  0x42d0161e, 0x92d22fd9, 0x42baa4e6, 0x92c51392, 0x42a5311b, 0x92b7fb82,
-  0x428fbabe, 0x92aae7a8,
-  0x427a41d0, 0x929dd806, 0x4264c653, 0x9290cc9b, 0x424f4845, 0x9283c568,
-  0x4239c7aa, 0x9276c26d,
-  0x42244481, 0x9269c3ac, 0x420ebecb, 0x925cc924, 0x41f93689, 0x924fd2d7,
-  0x41e3abbc, 0x9242e0c4,
-  0x41ce1e65, 0x9235f2ec, 0x41b88e84, 0x9229094f, 0x41a2fc1a, 0x921c23ef,
-  0x418d6729, 0x920f42cb,
-  0x4177cfb1, 0x920265e4, 0x416235b2, 0x91f58d3b, 0x414c992f, 0x91e8b8d0,
-  0x4136fa27, 0x91dbe8a4,
-  0x4121589b, 0x91cf1cb6, 0x410bb48c, 0x91c25508, 0x40f60dfb, 0x91b5919a,
-  0x40e064ea, 0x91a8d26d,
-  0x40cab958, 0x919c1781, 0x40b50b46, 0x918f60d6, 0x409f5ab6, 0x9182ae6d,
-  0x4089a7a8, 0x91760047,
-  0x4073f21d, 0x91695663, 0x405e3a16, 0x915cb0c3, 0x40487f94, 0x91500f67,
-  0x4032c297, 0x91437250,
-  0x401d0321, 0x9136d97d, 0x40074132, 0x912a44f0, 0x3ff17cca, 0x911db4a9,
-  0x3fdbb5ec, 0x911128a8,
-  0x3fc5ec98, 0x9104a0ee, 0x3fb020ce, 0x90f81d7b, 0x3f9a5290, 0x90eb9e50,
-  0x3f8481dd, 0x90df236e,
-  0x3f6eaeb8, 0x90d2acd4, 0x3f58d921, 0x90c63a83, 0x3f430119, 0x90b9cc7d,
-  0x3f2d26a0, 0x90ad62c0,
-  0x3f1749b8, 0x90a0fd4e, 0x3f016a61, 0x90949c28, 0x3eeb889c, 0x90883f4d,
-  0x3ed5a46b, 0x907be6be,
-  0x3ebfbdcd, 0x906f927c, 0x3ea9d4c3, 0x90634287, 0x3e93e950, 0x9056f6df,
-  0x3e7dfb73, 0x904aaf86,
-  0x3e680b2c, 0x903e6c7b, 0x3e52187f, 0x90322dbf, 0x3e3c2369, 0x9025f352,
-  0x3e262bee, 0x9019bd36,
-  0x3e10320d, 0x900d8b69, 0x3dfa35c8, 0x90015dee, 0x3de4371f, 0x8ff534c4,
-  0x3dce3614, 0x8fe90fec,
-  0x3db832a6, 0x8fdcef66, 0x3da22cd7, 0x8fd0d333, 0x3d8c24a8, 0x8fc4bb53,
-  0x3d761a19, 0x8fb8a7c7,
-  0x3d600d2c, 0x8fac988f, 0x3d49fde1, 0x8fa08dab, 0x3d33ec39, 0x8f94871d,
-  0x3d1dd835, 0x8f8884e4,
-  0x3d07c1d6, 0x8f7c8701, 0x3cf1a91c, 0x8f708d75, 0x3cdb8e09, 0x8f649840,
-  0x3cc5709e, 0x8f58a761,
-  0x3caf50da, 0x8f4cbadb, 0x3c992ec0, 0x8f40d2ad, 0x3c830a50, 0x8f34eed8,
-  0x3c6ce38a, 0x8f290f5c,
-  0x3c56ba70, 0x8f1d343a, 0x3c408f03, 0x8f115d72, 0x3c2a6142, 0x8f058b04,
-  0x3c143130, 0x8ef9bcf2,
-  0x3bfdfecd, 0x8eedf33b, 0x3be7ca1a, 0x8ee22de0, 0x3bd19318, 0x8ed66ce1,
-  0x3bbb59c7, 0x8ecab040,
-  0x3ba51e29, 0x8ebef7fb, 0x3b8ee03e, 0x8eb34415, 0x3b78a007, 0x8ea7948c,
-  0x3b625d86, 0x8e9be963,
-  0x3b4c18ba, 0x8e904298, 0x3b35d1a5, 0x8e84a02d, 0x3b1f8848, 0x8e790222,
-  0x3b093ca3, 0x8e6d6877,
-  0x3af2eeb7, 0x8e61d32e, 0x3adc9e86, 0x8e564246, 0x3ac64c0f, 0x8e4ab5bf,
-  0x3aaff755, 0x8e3f2d9b,
-  0x3a99a057, 0x8e33a9da, 0x3a834717, 0x8e282a7b, 0x3a6ceb96, 0x8e1caf80,
-  0x3a568dd4, 0x8e1138ea,
-  0x3a402dd2, 0x8e05c6b7, 0x3a29cb91, 0x8dfa58ea, 0x3a136712, 0x8deeef82,
-  0x39fd0056, 0x8de38a80,
-  0x39e6975e, 0x8dd829e4, 0x39d02c2a, 0x8dcccdaf, 0x39b9bebc, 0x8dc175e0,
-  0x39a34f13, 0x8db6227a,
-  0x398cdd32, 0x8daad37b, 0x39766919, 0x8d9f88e5, 0x395ff2c9, 0x8d9442b8,
-  0x39497a43, 0x8d8900f3,
-  0x3932ff87, 0x8d7dc399, 0x391c8297, 0x8d728aa9, 0x39060373, 0x8d675623,
-  0x38ef821c, 0x8d5c2609,
-  0x38d8fe93, 0x8d50fa59, 0x38c278d9, 0x8d45d316, 0x38abf0ef, 0x8d3ab03f,
-  0x389566d6, 0x8d2f91d5,
-  0x387eda8e, 0x8d2477d8, 0x38684c19, 0x8d196249, 0x3851bb77, 0x8d0e5127,
-  0x383b28a9, 0x8d034474,
-  0x382493b0, 0x8cf83c30, 0x380dfc8d, 0x8ced385b, 0x37f76341, 0x8ce238f6,
-  0x37e0c7cc, 0x8cd73e01,
-  0x37ca2a30, 0x8ccc477d, 0x37b38a6d, 0x8cc1556a, 0x379ce885, 0x8cb667c8,
-  0x37864477, 0x8cab7e98,
-  0x376f9e46, 0x8ca099da, 0x3758f5f2, 0x8c95b98f, 0x37424b7b, 0x8c8addb7,
-  0x372b9ee3, 0x8c800652,
-  0x3714f02a, 0x8c753362, 0x36fe3f52, 0x8c6a64e5, 0x36e78c5b, 0x8c5f9ade,
-  0x36d0d746, 0x8c54d54c,
-  0x36ba2014, 0x8c4a142f, 0x36a366c6, 0x8c3f5788, 0x368cab5c, 0x8c349f58,
-  0x3675edd9, 0x8c29eb9f,
-  0x365f2e3b, 0x8c1f3c5d, 0x36486c86, 0x8c149192, 0x3631a8b8, 0x8c09eb40,
-  0x361ae2d3, 0x8bff4966,
-  0x36041ad9, 0x8bf4ac05, 0x35ed50c9, 0x8bea131e, 0x35d684a6, 0x8bdf7eb0,
-  0x35bfb66e, 0x8bd4eebc,
-  0x35a8e625, 0x8bca6343, 0x359213c9, 0x8bbfdc44, 0x357b3f5d, 0x8bb559c1,
-  0x356468e2, 0x8baadbba,
-  0x354d9057, 0x8ba0622f, 0x3536b5be, 0x8b95ed21, 0x351fd918, 0x8b8b7c8f,
-  0x3508fa66, 0x8b81107b,
-  0x34f219a8, 0x8b76a8e4, 0x34db36df, 0x8b6c45cc, 0x34c4520d, 0x8b61e733,
-  0x34ad6b32, 0x8b578d18,
-  0x34968250, 0x8b4d377c, 0x347f9766, 0x8b42e661, 0x3468aa76, 0x8b3899c6,
-  0x3451bb81, 0x8b2e51ab,
-  0x343aca87, 0x8b240e11, 0x3423d78a, 0x8b19cef8, 0x340ce28b, 0x8b0f9462,
-  0x33f5eb89, 0x8b055e4d,
-  0x33def287, 0x8afb2cbb, 0x33c7f785, 0x8af0ffac, 0x33b0fa84, 0x8ae6d720,
-  0x3399fb85, 0x8adcb318,
-  0x3382fa88, 0x8ad29394, 0x336bf78f, 0x8ac87894, 0x3354f29b, 0x8abe6219,
-  0x333debab, 0x8ab45024,
-  0x3326e2c3, 0x8aaa42b4, 0x330fd7e1, 0x8aa039cb, 0x32f8cb07, 0x8a963567,
-  0x32e1bc36, 0x8a8c358b,
-  0x32caab6f, 0x8a823a36, 0x32b398b3, 0x8a784368, 0x329c8402, 0x8a6e5123,
-  0x32856d5e, 0x8a646365,
-  0x326e54c7, 0x8a5a7a31, 0x32573a3f, 0x8a509585, 0x32401dc6, 0x8a46b564,
-  0x3228ff5c, 0x8a3cd9cc,
-  0x3211df04, 0x8a3302be, 0x31fabcbd, 0x8a29303b, 0x31e39889, 0x8a1f6243,
-  0x31cc7269, 0x8a1598d6,
-  0x31b54a5e, 0x8a0bd3f5, 0x319e2067, 0x8a0213a0, 0x3186f487, 0x89f857d8,
-  0x316fc6be, 0x89eea09d,
-  0x3158970e, 0x89e4edef, 0x31416576, 0x89db3fcf, 0x312a31f8, 0x89d1963c,
-  0x3112fc95, 0x89c7f138,
-  0x30fbc54d, 0x89be50c3, 0x30e48c22, 0x89b4b4dd, 0x30cd5115, 0x89ab1d87,
-  0x30b61426, 0x89a18ac0,
-  0x309ed556, 0x8997fc8a, 0x308794a6, 0x898e72e4, 0x30705217, 0x8984edcf,
-  0x30590dab, 0x897b6d4c,
-  0x3041c761, 0x8971f15a, 0x302a7f3a, 0x896879fb, 0x30133539, 0x895f072e,
-  0x2ffbe95d, 0x895598f3,
-  0x2fe49ba7, 0x894c2f4c, 0x2fcd4c19, 0x8942ca39, 0x2fb5fab2, 0x893969b9,
-  0x2f9ea775, 0x89300dce,
-  0x2f875262, 0x8926b677, 0x2f6ffb7a, 0x891d63b5, 0x2f58a2be, 0x89141589,
-  0x2f41482e, 0x890acbf2,
-  0x2f29ebcc, 0x890186f2, 0x2f128d99, 0x88f84687, 0x2efb2d95, 0x88ef0ab4,
-  0x2ee3cbc1, 0x88e5d378,
-  0x2ecc681e, 0x88dca0d3, 0x2eb502ae, 0x88d372c6, 0x2e9d9b70, 0x88ca4951,
-  0x2e863267, 0x88c12475,
-  0x2e6ec792, 0x88b80432, 0x2e575af3, 0x88aee888, 0x2e3fec8b, 0x88a5d177,
-  0x2e287c5a, 0x889cbf01,
-  0x2e110a62, 0x8893b125, 0x2df996a3, 0x888aa7e3, 0x2de2211e, 0x8881a33d,
-  0x2dcaa9d5, 0x8878a332,
-  0x2db330c7, 0x886fa7c2, 0x2d9bb5f6, 0x8866b0ef, 0x2d843964, 0x885dbeb8,
-  0x2d6cbb10, 0x8854d11e,
-  0x2d553afc, 0x884be821, 0x2d3db928, 0x884303c1, 0x2d263596, 0x883a23ff,
-  0x2d0eb046, 0x883148db,
-  0x2cf72939, 0x88287256, 0x2cdfa071, 0x881fa06f, 0x2cc815ee, 0x8816d327,
-  0x2cb089b1, 0x880e0a7f,
-  0x2c98fbba, 0x88054677, 0x2c816c0c, 0x87fc870f, 0x2c69daa6, 0x87f3cc48,
-  0x2c52478a, 0x87eb1621,
-  0x2c3ab2b9, 0x87e2649b, 0x2c231c33, 0x87d9b7b7, 0x2c0b83fa, 0x87d10f75,
-  0x2bf3ea0d, 0x87c86bd5,
-  0x2bdc4e6f, 0x87bfccd7, 0x2bc4b120, 0x87b7327d, 0x2bad1221, 0x87ae9cc5,
-  0x2b957173, 0x87a60bb1,
-  0x2b7dcf17, 0x879d7f41, 0x2b662b0e, 0x8794f774, 0x2b4e8558, 0x878c744d,
-  0x2b36ddf7, 0x8783f5ca,
-  0x2b1f34eb, 0x877b7bec, 0x2b078a36, 0x877306b4, 0x2aefddd8, 0x876a9621,
-  0x2ad82fd2, 0x87622a35,
-  0x2ac08026, 0x8759c2ef, 0x2aa8ced3, 0x87516050, 0x2a911bdc, 0x87490258,
-  0x2a796740, 0x8740a907,
-  0x2a61b101, 0x8738545e, 0x2a49f920, 0x8730045d, 0x2a323f9e, 0x8727b905,
-  0x2a1a847b, 0x871f7255,
-  0x2a02c7b8, 0x8717304e, 0x29eb0957, 0x870ef2f1, 0x29d34958, 0x8706ba3d,
-  0x29bb87bc, 0x86fe8633,
-  0x29a3c485, 0x86f656d3, 0x298bffb2, 0x86ee2c1e, 0x29743946, 0x86e60614,
-  0x295c7140, 0x86dde4b5,
-  0x2944a7a2, 0x86d5c802, 0x292cdc6d, 0x86cdaffa, 0x29150fa1, 0x86c59c9f,
-  0x28fd4140, 0x86bd8df0,
-  0x28e5714b, 0x86b583ee, 0x28cd9fc1, 0x86ad7e99, 0x28b5cca5, 0x86a57df2,
-  0x289df7f8, 0x869d81f8,
-  0x288621b9, 0x86958aac, 0x286e49ea, 0x868d980e, 0x2856708d, 0x8685aa20,
-  0x283e95a1, 0x867dc0e0,
-  0x2826b928, 0x8675dc4f, 0x280edb23, 0x866dfc6e, 0x27f6fb92, 0x8666213c,
-  0x27df1a77, 0x865e4abb,
-  0x27c737d3, 0x865678eb, 0x27af53a6, 0x864eabcb, 0x27976df1, 0x8646e35c,
-  0x277f86b5, 0x863f1f9e,
-  0x27679df4, 0x86376092, 0x274fb3ae, 0x862fa638, 0x2737c7e3, 0x8627f091,
-  0x271fda96, 0x86203f9c,
-  0x2707ebc7, 0x86189359, 0x26effb76, 0x8610ebca, 0x26d809a5, 0x860948ef,
-  0x26c01655, 0x8601aac7,
-  0x26a82186, 0x85fa1153, 0x26902b39, 0x85f27c93, 0x26783370, 0x85eaec88,
-  0x26603a2c, 0x85e36132,
-  0x26483f6c, 0x85dbda91, 0x26304333, 0x85d458a6, 0x26184581, 0x85ccdb70,
-  0x26004657, 0x85c562f1,
-  0x25e845b6, 0x85bdef28, 0x25d0439f, 0x85b68015, 0x25b84012, 0x85af15b9,
-  0x25a03b11, 0x85a7b015,
-  0x2588349d, 0x85a04f28, 0x25702cb7, 0x8598f2f3, 0x2558235f, 0x85919b76,
-  0x25401896, 0x858a48b1,
-  0x25280c5e, 0x8582faa5, 0x250ffeb7, 0x857bb152, 0x24f7efa2, 0x85746cb8,
-  0x24dfdf20, 0x856d2cd7,
-  0x24c7cd33, 0x8565f1b0, 0x24afb9da, 0x855ebb44, 0x2497a517, 0x85578991,
-  0x247f8eec, 0x85505c99,
-  0x24677758, 0x8549345c, 0x244f5e5c, 0x854210db, 0x243743fa, 0x853af214,
-  0x241f2833, 0x8533d809,
-  0x24070b08, 0x852cc2bb, 0x23eeec78, 0x8525b228, 0x23d6cc87, 0x851ea652,
-  0x23beab33, 0x85179f39,
-  0x23a6887f, 0x85109cdd, 0x238e646a, 0x85099f3e, 0x23763ef7, 0x8502a65c,
-  0x235e1826, 0x84fbb239,
-  0x2345eff8, 0x84f4c2d4, 0x232dc66d, 0x84edd82d, 0x23159b88, 0x84e6f244,
-  0x22fd6f48, 0x84e0111b,
-  0x22e541af, 0x84d934b1, 0x22cd12bd, 0x84d25d06, 0x22b4e274, 0x84cb8a1b,
-  0x229cb0d5, 0x84c4bbf0,
-  0x22847de0, 0x84bdf286, 0x226c4996, 0x84b72ddb, 0x225413f8, 0x84b06df2,
-  0x223bdd08, 0x84a9b2ca,
-  0x2223a4c5, 0x84a2fc62, 0x220b6b32, 0x849c4abd, 0x21f3304f, 0x84959dd9,
-  0x21daf41d, 0x848ef5b7,
-  0x21c2b69c, 0x84885258, 0x21aa77cf, 0x8481b3bb, 0x219237b5, 0x847b19e1,
-  0x2179f64f, 0x847484ca,
-  0x2161b3a0, 0x846df477, 0x21496fa7, 0x846768e7, 0x21312a65, 0x8460e21a,
-  0x2118e3dc, 0x845a6012,
-  0x21009c0c, 0x8453e2cf, 0x20e852f6, 0x844d6a50, 0x20d0089c, 0x8446f695,
-  0x20b7bcfe, 0x844087a0,
-  0x209f701c, 0x843a1d70, 0x208721f9, 0x8433b806, 0x206ed295, 0x842d5762,
-  0x205681f1, 0x8426fb84,
-  0x203e300d, 0x8420a46c, 0x2025dcec, 0x841a521a, 0x200d888d, 0x84140490,
-  0x1ff532f2, 0x840dbbcc,
-  0x1fdcdc1b, 0x840777d0, 0x1fc4840a, 0x8401389b, 0x1fac2abf, 0x83fafe2e,
-  0x1f93d03c, 0x83f4c889,
-  0x1f7b7481, 0x83ee97ad, 0x1f63178f, 0x83e86b99, 0x1f4ab968, 0x83e2444d,
-  0x1f325a0b, 0x83dc21cb,
-  0x1f19f97b, 0x83d60412, 0x1f0197b8, 0x83cfeb22, 0x1ee934c3, 0x83c9d6fc,
-  0x1ed0d09d, 0x83c3c7a0,
-  0x1eb86b46, 0x83bdbd0e, 0x1ea004c1, 0x83b7b746, 0x1e879d0d, 0x83b1b649,
-  0x1e6f342c, 0x83abba17,
-  0x1e56ca1e, 0x83a5c2b0, 0x1e3e5ee5, 0x839fd014, 0x1e25f282, 0x8399e244,
-  0x1e0d84f5, 0x8393f940,
-  0x1df5163f, 0x838e1507, 0x1ddca662, 0x8388359b, 0x1dc4355e, 0x83825afb,
-  0x1dabc334, 0x837c8528,
-  0x1d934fe5, 0x8376b422, 0x1d7adb73, 0x8370e7e9, 0x1d6265dd, 0x836b207d,
-  0x1d49ef26, 0x83655ddf,
-  0x1d31774d, 0x835fa00f, 0x1d18fe54, 0x8359e70d, 0x1d00843d, 0x835432d8,
-  0x1ce80906, 0x834e8373,
-  0x1ccf8cb3, 0x8348d8dc, 0x1cb70f43, 0x83433314, 0x1c9e90b8, 0x833d921b,
-  0x1c861113, 0x8337f5f1,
-  0x1c6d9053, 0x83325e97, 0x1c550e7c, 0x832ccc0d, 0x1c3c8b8c, 0x83273e52,
-  0x1c240786, 0x8321b568,
-  0x1c0b826a, 0x831c314e, 0x1bf2fc3a, 0x8316b205, 0x1bda74f6, 0x8311378d,
-  0x1bc1ec9e, 0x830bc1e6,
-  0x1ba96335, 0x83065110, 0x1b90d8bb, 0x8300e50b, 0x1b784d30, 0x82fb7dd8,
-  0x1b5fc097, 0x82f61b77,
-  0x1b4732ef, 0x82f0bde8, 0x1b2ea43a, 0x82eb652b, 0x1b161479, 0x82e61141,
-  0x1afd83ad, 0x82e0c22a,
-  0x1ae4f1d6, 0x82db77e5, 0x1acc5ef6, 0x82d63274, 0x1ab3cb0d, 0x82d0f1d5,
-  0x1a9b361d, 0x82cbb60b,
-  0x1a82a026, 0x82c67f14, 0x1a6a0929, 0x82c14cf1, 0x1a517128, 0x82bc1fa2,
-  0x1a38d823, 0x82b6f727,
-  0x1a203e1b, 0x82b1d381, 0x1a07a311, 0x82acb4b0, 0x19ef0707, 0x82a79ab3,
-  0x19d669fc, 0x82a2858c,
-  0x19bdcbf3, 0x829d753a, 0x19a52ceb, 0x829869be, 0x198c8ce7, 0x82936317,
-  0x1973ebe6, 0x828e6146,
-  0x195b49ea, 0x8289644b, 0x1942a6f3, 0x82846c26, 0x192a0304, 0x827f78d8,
-  0x19115e1c, 0x827a8a61,
-  0x18f8b83c, 0x8275a0c0, 0x18e01167, 0x8270bbf7, 0x18c7699b, 0x826bdc04,
-  0x18aec0db, 0x826700e9,
-  0x18961728, 0x82622aa6, 0x187d6c82, 0x825d593a, 0x1864c0ea, 0x82588ca7,
-  0x184c1461, 0x8253c4eb,
-  0x183366e9, 0x824f0208, 0x181ab881, 0x824a43fe, 0x1802092c, 0x82458acc,
-  0x17e958ea, 0x8240d673,
-  0x17d0a7bc, 0x823c26f3, 0x17b7f5a3, 0x82377c4c, 0x179f429f, 0x8232d67f,
-  0x17868eb3, 0x822e358b,
-  0x176dd9de, 0x82299971, 0x17552422, 0x82250232, 0x173c6d80, 0x82206fcc,
-  0x1723b5f9, 0x821be240,
-  0x170afd8d, 0x82175990, 0x16f2443e, 0x8212d5b9, 0x16d98a0c, 0x820e56be,
-  0x16c0cef9, 0x8209dc9e,
-  0x16a81305, 0x82056758, 0x168f5632, 0x8200f6ef, 0x1676987f, 0x81fc8b60,
-  0x165dd9f0, 0x81f824ae,
-  0x16451a83, 0x81f3c2d7, 0x162c5a3b, 0x81ef65dc, 0x16139918, 0x81eb0dbe,
-  0x15fad71b, 0x81e6ba7c,
-  0x15e21445, 0x81e26c16, 0x15c95097, 0x81de228d, 0x15b08c12, 0x81d9dde1,
-  0x1597c6b7, 0x81d59e13,
-  0x157f0086, 0x81d16321, 0x15663982, 0x81cd2d0c, 0x154d71aa, 0x81c8fbd6,
-  0x1534a901, 0x81c4cf7d,
-  0x151bdf86, 0x81c0a801, 0x1503153a, 0x81bc8564, 0x14ea4a1f, 0x81b867a5,
-  0x14d17e36, 0x81b44ec4,
-  0x14b8b17f, 0x81b03ac2, 0x149fe3fc, 0x81ac2b9e, 0x148715ae, 0x81a82159,
-  0x146e4694, 0x81a41bf4,
-  0x145576b1, 0x81a01b6d, 0x143ca605, 0x819c1fc5, 0x1423d492, 0x819828fd,
-  0x140b0258, 0x81943715,
-  0x13f22f58, 0x81904a0c, 0x13d95b93, 0x818c61e3, 0x13c0870a, 0x81887e9a,
-  0x13a7b1bf, 0x8184a032,
-  0x138edbb1, 0x8180c6a9, 0x137604e2, 0x817cf201, 0x135d2d53, 0x8179223a,
-  0x13445505, 0x81755754,
-  0x132b7bf9, 0x8171914e, 0x1312a230, 0x816dd02a, 0x12f9c7aa, 0x816a13e6,
-  0x12e0ec6a, 0x81665c84,
-  0x12c8106f, 0x8162aa04, 0x12af33ba, 0x815efc65, 0x1296564d, 0x815b53a8,
-  0x127d7829, 0x8157afcd,
-  0x1264994e, 0x815410d4, 0x124bb9be, 0x815076bd, 0x1232d979, 0x814ce188,
-  0x1219f880, 0x81495136,
-  0x120116d5, 0x8145c5c7, 0x11e83478, 0x81423f3a, 0x11cf516a, 0x813ebd90,
-  0x11b66dad, 0x813b40ca,
-  0x119d8941, 0x8137c8e6, 0x1184a427, 0x813455e6, 0x116bbe60, 0x8130e7c9,
-  0x1152d7ed, 0x812d7e8f,
-  0x1139f0cf, 0x812a1a3a, 0x11210907, 0x8126bac8, 0x11082096, 0x8123603a,
-  0x10ef377d, 0x81200a90,
-  0x10d64dbd, 0x811cb9ca, 0x10bd6356, 0x81196de9, 0x10a4784b, 0x811626ec,
-  0x108b8c9b, 0x8112e4d4,
-  0x1072a048, 0x810fa7a0, 0x1059b352, 0x810c6f52, 0x1040c5bb, 0x81093be8,
-  0x1027d784, 0x81060d63,
-  0x100ee8ad, 0x8102e3c4, 0xff5f938, 0x80ffbf0a, 0xfdd0926, 0x80fc9f35,
-  0xfc41876, 0x80f98446,
-  0xfab272b, 0x80f66e3c, 0xf923546, 0x80f35d19, 0xf7942c7, 0x80f050db,
-  0xf604faf, 0x80ed4984,
-  0xf475bff, 0x80ea4712, 0xf2e67b8, 0x80e74987, 0xf1572dc, 0x80e450e2,
-  0xefc7d6b, 0x80e15d24,
-  0xee38766, 0x80de6e4c, 0xeca90ce, 0x80db845b, 0xeb199a4, 0x80d89f51,
-  0xe98a1e9, 0x80d5bf2e,
-  0xe7fa99e, 0x80d2e3f2, 0xe66b0c3, 0x80d00d9d, 0xe4db75b, 0x80cd3c2f,
-  0xe34bd66, 0x80ca6fa9,
-  0xe1bc2e4, 0x80c7a80a, 0xe02c7d7, 0x80c4e553, 0xde9cc40, 0x80c22784,
-  0xdd0d01f, 0x80bf6e9c,
-  0xdb7d376, 0x80bcba9d, 0xd9ed646, 0x80ba0b85, 0xd85d88f, 0x80b76156,
-  0xd6cda53, 0x80b4bc0e,
-  0xd53db92, 0x80b21baf, 0xd3adc4e, 0x80af8039, 0xd21dc87, 0x80ace9ab,
-  0xd08dc3f, 0x80aa5806,
-  0xcefdb76, 0x80a7cb49, 0xcd6da2d, 0x80a54376, 0xcbdd865, 0x80a2c08b,
-  0xca4d620, 0x80a04289,
-  0xc8bd35e, 0x809dc971, 0xc72d020, 0x809b5541, 0xc59cc68, 0x8098e5fb,
-  0xc40c835, 0x80967b9f,
-  0xc27c389, 0x8094162c, 0xc0ebe66, 0x8091b5a2, 0xbf5b8cb, 0x808f5a02,
-  0xbdcb2bb, 0x808d034c,
-  0xbc3ac35, 0x808ab180, 0xbaaa53b, 0x8088649e, 0xb919dcf, 0x80861ca6,
-  0xb7895f0, 0x8083d998,
-  0xb5f8d9f, 0x80819b74, 0xb4684df, 0x807f623b, 0xb2d7baf, 0x807d2dec,
-  0xb147211, 0x807afe87,
-  0xafb6805, 0x8078d40d, 0xae25d8d, 0x8076ae7e, 0xac952aa, 0x80748dd9,
-  0xab0475c, 0x8072721f,
-  0xa973ba5, 0x80705b50, 0xa7e2f85, 0x806e496c, 0xa6522fe, 0x806c3c74,
-  0xa4c1610, 0x806a3466,
-  0xa3308bd, 0x80683143, 0xa19fb04, 0x8066330c, 0xa00ece8, 0x806439c0,
-  0x9e7de6a, 0x80624560,
-  0x9cecf89, 0x806055eb, 0x9b5c048, 0x805e6b62, 0x99cb0a7, 0x805c85c4,
-  0x983a0a7, 0x805aa512,
-  0x96a9049, 0x8058c94c, 0x9517f8f, 0x8056f272, 0x9386e78, 0x80552084,
-  0x91f5d06, 0x80535381,
-  0x9064b3a, 0x80518b6b, 0x8ed3916, 0x804fc841, 0x8d42699, 0x804e0a04,
-  0x8bb13c5, 0x804c50b2,
-  0x8a2009a, 0x804a9c4d, 0x888ed1b, 0x8048ecd5, 0x86fd947, 0x80474248,
-  0x856c520, 0x80459ca9,
-  0x83db0a7, 0x8043fbf6, 0x8249bdd, 0x80426030, 0x80b86c2, 0x8040c956,
-  0x7f27157, 0x803f376a,
-  0x7d95b9e, 0x803daa6a, 0x7c04598, 0x803c2257, 0x7a72f45, 0x803a9f31,
-  0x78e18a7, 0x803920f8,
-  0x77501be, 0x8037a7ac, 0x75bea8c, 0x8036334e, 0x742d311, 0x8034c3dd,
-  0x729bb4e, 0x80335959,
-  0x710a345, 0x8031f3c2, 0x6f78af6, 0x80309318, 0x6de7262, 0x802f375d,
-  0x6c5598a, 0x802de08e,
-  0x6ac406f, 0x802c8ead, 0x6932713, 0x802b41ba, 0x67a0d76, 0x8029f9b4,
-  0x660f398, 0x8028b69c,
-  0x647d97c, 0x80277872, 0x62ebf22, 0x80263f36, 0x615a48b, 0x80250ae7,
-  0x5fc89b8, 0x8023db86,
-  0x5e36ea9, 0x8022b114, 0x5ca5361, 0x80218b8f, 0x5b137df, 0x80206af8,
-  0x5981c26, 0x801f4f4f,
-  0x57f0035, 0x801e3895, 0x565e40d, 0x801d26c8, 0x54cc7b1, 0x801c19ea,
-  0x533ab20, 0x801b11fa,
-  0x51a8e5c, 0x801a0ef8, 0x5017165, 0x801910e4, 0x4e8543e, 0x801817bf,
-  0x4cf36e5, 0x80172388,
-  0x4b6195d, 0x80163440, 0x49cfba7, 0x801549e6, 0x483ddc3, 0x8014647b,
-  0x46abfb3, 0x801383fe,
-  0x451a177, 0x8012a86f, 0x4388310, 0x8011d1d0, 0x41f6480, 0x8011001f,
-  0x40645c7, 0x8010335c,
-  0x3ed26e6, 0x800f6b88, 0x3d407df, 0x800ea8a3, 0x3bae8b2, 0x800deaad,
-  0x3a1c960, 0x800d31a5,
-  0x388a9ea, 0x800c7d8c, 0x36f8a51, 0x800bce63, 0x3566a96, 0x800b2427,
-  0x33d4abb, 0x800a7edb,
-  0x3242abf, 0x8009de7e, 0x30b0aa4, 0x80094310, 0x2f1ea6c, 0x8008ac90,
-  0x2d8ca16, 0x80081b00,
-  0x2bfa9a4, 0x80078e5e, 0x2a68917, 0x800706ac, 0x28d6870, 0x800683e8,
-  0x27447b0, 0x80060614,
-  0x25b26d7, 0x80058d2f, 0x24205e8, 0x80051939, 0x228e4e2, 0x8004aa32,
-  0x20fc3c6, 0x8004401a,
-  0x1f6a297, 0x8003daf1, 0x1dd8154, 0x80037ab7, 0x1c45ffe, 0x80031f6d,
-  0x1ab3e97, 0x8002c912,
-  0x1921d20, 0x800277a6, 0x178fb99, 0x80022b29, 0x15fda03, 0x8001e39b,
-  0x146b860, 0x8001a0fd,
-  0x12d96b1, 0x8001634e, 0x11474f6, 0x80012a8e, 0xfb5330, 0x8000f6bd,
-  0xe23160, 0x8000c7dc,
-  0xc90f88, 0x80009dea, 0xafeda8, 0x800078e7, 0x96cbc1, 0x800058d4, 0x7da9d4,
-  0x80003daf,
-  0x6487e3, 0x8000277a, 0x4b65ee, 0x80001635, 0x3243f5, 0x800009df, 0x1921fb,
-  0x80000278,
-};
-
-static const q31_t WeightsQ31_8192[16384] = {
-  0x7fffffff, 0x0, 0x7fffffd9, 0xfff9b781, 0x7fffff62, 0xfff36f02, 0x7ffffe9d,
-    0xffed2684,
-  0x7ffffd88, 0xffe6de05, 0x7ffffc25, 0xffe09586, 0x7ffffa73, 0xffda4d08,
-    0x7ffff872, 0xffd40489,
-  0x7ffff621, 0xffcdbc0b, 0x7ffff382, 0xffc7738c, 0x7ffff094, 0xffc12b0e,
-    0x7fffed57, 0xffbae290,
-  0x7fffe9cb, 0xffb49a12, 0x7fffe5f0, 0xffae5195, 0x7fffe1c6, 0xffa80917,
-    0x7fffdd4d, 0xffa1c09a,
-  0x7fffd886, 0xff9b781d, 0x7fffd36f, 0xff952fa0, 0x7fffce09, 0xff8ee724,
-    0x7fffc854, 0xff889ea7,
-  0x7fffc251, 0xff82562c, 0x7fffbbfe, 0xff7c0db0, 0x7fffb55c, 0xff75c535,
-    0x7fffae6c, 0xff6f7cba,
-  0x7fffa72c, 0xff69343f, 0x7fff9f9e, 0xff62ebc5, 0x7fff97c1, 0xff5ca34b,
-    0x7fff8f94, 0xff565ad1,
-  0x7fff8719, 0xff501258, 0x7fff7e4f, 0xff49c9df, 0x7fff7536, 0xff438167,
-    0x7fff6bcd, 0xff3d38ef,
-  0x7fff6216, 0xff36f078, 0x7fff5810, 0xff30a801, 0x7fff4dbb, 0xff2a5f8b,
-    0x7fff4317, 0xff241715,
-  0x7fff3824, 0xff1dcea0, 0x7fff2ce2, 0xff17862b, 0x7fff2151, 0xff113db7,
-    0x7fff1572, 0xff0af543,
-  0x7fff0943, 0xff04acd0, 0x7ffefcc5, 0xfefe645e, 0x7ffeeff8, 0xfef81bec,
-    0x7ffee2dd, 0xfef1d37b,
-  0x7ffed572, 0xfeeb8b0a, 0x7ffec7b9, 0xfee5429a, 0x7ffeb9b0, 0xfedefa2b,
-    0x7ffeab59, 0xfed8b1bd,
-  0x7ffe9cb2, 0xfed2694f, 0x7ffe8dbd, 0xfecc20e2, 0x7ffe7e79, 0xfec5d876,
-    0x7ffe6ee5, 0xfebf900a,
-  0x7ffe5f03, 0xfeb947a0, 0x7ffe4ed2, 0xfeb2ff36, 0x7ffe3e52, 0xfeacb6cc,
-    0x7ffe2d83, 0xfea66e64,
-  0x7ffe1c65, 0xfea025fd, 0x7ffe0af8, 0xfe99dd96, 0x7ffdf93c, 0xfe939530,
-    0x7ffde731, 0xfe8d4ccb,
-  0x7ffdd4d7, 0xfe870467, 0x7ffdc22e, 0xfe80bc04, 0x7ffdaf37, 0xfe7a73a2,
-    0x7ffd9bf0, 0xfe742b41,
-  0x7ffd885a, 0xfe6de2e0, 0x7ffd7476, 0xfe679a81, 0x7ffd6042, 0xfe615223,
-    0x7ffd4bc0, 0xfe5b09c5,
-  0x7ffd36ee, 0xfe54c169, 0x7ffd21ce, 0xfe4e790d, 0x7ffd0c5f, 0xfe4830b3,
-    0x7ffcf6a0, 0xfe41e85a,
-  0x7ffce093, 0xfe3ba002, 0x7ffcca37, 0xfe3557ab, 0x7ffcb38c, 0xfe2f0f55,
-    0x7ffc9c92, 0xfe28c700,
-  0x7ffc8549, 0xfe227eac, 0x7ffc6db1, 0xfe1c365a, 0x7ffc55ca, 0xfe15ee09,
-    0x7ffc3d94, 0xfe0fa5b8,
-  0x7ffc250f, 0xfe095d69, 0x7ffc0c3b, 0xfe03151c, 0x7ffbf319, 0xfdfccccf,
-    0x7ffbd9a7, 0xfdf68484,
-  0x7ffbbfe6, 0xfdf03c3a, 0x7ffba5d7, 0xfde9f3f1, 0x7ffb8b78, 0xfde3aba9,
-    0x7ffb70cb, 0xfddd6363,
-  0x7ffb55ce, 0xfdd71b1e, 0x7ffb3a83, 0xfdd0d2db, 0x7ffb1ee9, 0xfdca8a99,
-    0x7ffb0300, 0xfdc44258,
-  0x7ffae6c7, 0xfdbdfa18, 0x7ffaca40, 0xfdb7b1da, 0x7ffaad6a, 0xfdb1699e,
-    0x7ffa9045, 0xfdab2162,
-  0x7ffa72d1, 0xfda4d929, 0x7ffa550e, 0xfd9e90f0, 0x7ffa36fc, 0xfd9848b9,
-    0x7ffa189c, 0xfd920084,
-  0x7ff9f9ec, 0xfd8bb850, 0x7ff9daed, 0xfd85701e, 0x7ff9bba0, 0xfd7f27ed,
-    0x7ff99c03, 0xfd78dfbd,
-  0x7ff97c18, 0xfd729790, 0x7ff95bdd, 0xfd6c4f64, 0x7ff93b54, 0xfd660739,
-    0x7ff91a7b, 0xfd5fbf10,
-  0x7ff8f954, 0xfd5976e9, 0x7ff8d7de, 0xfd532ec3, 0x7ff8b619, 0xfd4ce69f,
-    0x7ff89405, 0xfd469e7c,
-  0x7ff871a2, 0xfd40565c, 0x7ff84ef0, 0xfd3a0e3d, 0x7ff82bef, 0xfd33c61f,
-    0x7ff8089f, 0xfd2d7e04,
-  0x7ff7e500, 0xfd2735ea, 0x7ff7c113, 0xfd20edd2, 0x7ff79cd6, 0xfd1aa5bc,
-    0x7ff7784a, 0xfd145da7,
-  0x7ff75370, 0xfd0e1594, 0x7ff72e46, 0xfd07cd83, 0x7ff708ce, 0xfd018574,
-    0x7ff6e307, 0xfcfb3d67,
-  0x7ff6bcf0, 0xfcf4f55c, 0x7ff6968b, 0xfceead52, 0x7ff66fd7, 0xfce8654b,
-    0x7ff648d4, 0xfce21d45,
-  0x7ff62182, 0xfcdbd541, 0x7ff5f9e1, 0xfcd58d3f, 0x7ff5d1f1, 0xfccf453f,
-    0x7ff5a9b2, 0xfcc8fd41,
-  0x7ff58125, 0xfcc2b545, 0x7ff55848, 0xfcbc6d4c, 0x7ff52f1d, 0xfcb62554,
-    0x7ff505a2, 0xfcafdd5e,
-  0x7ff4dbd9, 0xfca9956a, 0x7ff4b1c0, 0xfca34d78, 0x7ff48759, 0xfc9d0588,
-    0x7ff45ca3, 0xfc96bd9b,
-  0x7ff4319d, 0xfc9075af, 0x7ff40649, 0xfc8a2dc6, 0x7ff3daa6, 0xfc83e5de,
-    0x7ff3aeb4, 0xfc7d9df9,
-  0x7ff38274, 0xfc775616, 0x7ff355e4, 0xfc710e36, 0x7ff32905, 0xfc6ac657,
-    0x7ff2fbd7, 0xfc647e7b,
-  0x7ff2ce5b, 0xfc5e36a0, 0x7ff2a08f, 0xfc57eec9, 0x7ff27275, 0xfc51a6f3,
-    0x7ff2440b, 0xfc4b5f20,
-  0x7ff21553, 0xfc45174e, 0x7ff1e64c, 0xfc3ecf80, 0x7ff1b6f6, 0xfc3887b3,
-    0x7ff18751, 0xfc323fe9,
-  0x7ff1575d, 0xfc2bf821, 0x7ff1271a, 0xfc25b05c, 0x7ff0f688, 0xfc1f6899,
-    0x7ff0c5a7, 0xfc1920d8,
-  0x7ff09478, 0xfc12d91a, 0x7ff062f9, 0xfc0c915e, 0x7ff0312c, 0xfc0649a5,
-    0x7fefff0f, 0xfc0001ee,
-  0x7fefcca4, 0xfbf9ba39, 0x7fef99ea, 0xfbf37287, 0x7fef66e1, 0xfbed2ad8,
-    0x7fef3388, 0xfbe6e32b,
-  0x7feeffe1, 0xfbe09b80, 0x7feecbec, 0xfbda53d8, 0x7fee97a7, 0xfbd40c33,
-    0x7fee6313, 0xfbcdc490,
-  0x7fee2e30, 0xfbc77cf0, 0x7fedf8ff, 0xfbc13552, 0x7fedc37e, 0xfbbaedb7,
-    0x7fed8daf, 0xfbb4a61f,
-  0x7fed5791, 0xfbae5e89, 0x7fed2123, 0xfba816f6, 0x7fecea67, 0xfba1cf66,
-    0x7fecb35c, 0xfb9b87d8,
-  0x7fec7c02, 0xfb95404d, 0x7fec4459, 0xfb8ef8c5, 0x7fec0c62, 0xfb88b13f,
-    0x7febd41b, 0xfb8269bd,
-  0x7feb9b85, 0xfb7c223d, 0x7feb62a1, 0xfb75dac0, 0x7feb296d, 0xfb6f9345,
-    0x7feaefeb, 0xfb694bce,
-  0x7feab61a, 0xfb630459, 0x7fea7bfa, 0xfb5cbce7, 0x7fea418b, 0xfb567578,
-    0x7fea06cd, 0xfb502e0c,
-  0x7fe9cbc0, 0xfb49e6a3, 0x7fe99064, 0xfb439f3c, 0x7fe954ba, 0xfb3d57d9,
-    0x7fe918c0, 0xfb371078,
-  0x7fe8dc78, 0xfb30c91b, 0x7fe89fe0, 0xfb2a81c0, 0x7fe862fa, 0xfb243a69,
-    0x7fe825c5, 0xfb1df314,
-  0x7fe7e841, 0xfb17abc2, 0x7fe7aa6e, 0xfb116474, 0x7fe76c4c, 0xfb0b1d28,
-    0x7fe72ddb, 0xfb04d5e0,
-  0x7fe6ef1c, 0xfafe8e9b, 0x7fe6b00d, 0xfaf84758, 0x7fe670b0, 0xfaf20019,
-    0x7fe63103, 0xfaebb8dd,
-  0x7fe5f108, 0xfae571a4, 0x7fe5b0be, 0xfadf2a6e, 0x7fe57025, 0xfad8e33c,
-    0x7fe52f3d, 0xfad29c0c,
-  0x7fe4ee06, 0xfacc54e0, 0x7fe4ac81, 0xfac60db7, 0x7fe46aac, 0xfabfc691,
-    0x7fe42889, 0xfab97f6e,
-  0x7fe3e616, 0xfab3384f, 0x7fe3a355, 0xfaacf133, 0x7fe36045, 0xfaa6aa1a,
-    0x7fe31ce6, 0xfaa06305,
-  0x7fe2d938, 0xfa9a1bf3, 0x7fe2953b, 0xfa93d4e4, 0x7fe250ef, 0xfa8d8dd8,
-    0x7fe20c55, 0xfa8746d0,
-  0x7fe1c76b, 0xfa80ffcb, 0x7fe18233, 0xfa7ab8ca, 0x7fe13cac, 0xfa7471cc,
-    0x7fe0f6d6, 0xfa6e2ad1,
-  0x7fe0b0b1, 0xfa67e3da, 0x7fe06a3d, 0xfa619ce7, 0x7fe0237a, 0xfa5b55f7,
-    0x7fdfdc69, 0xfa550f0a,
-  0x7fdf9508, 0xfa4ec821, 0x7fdf4d59, 0xfa48813b, 0x7fdf055a, 0xfa423a59,
-    0x7fdebd0d, 0xfa3bf37a,
-  0x7fde7471, 0xfa35ac9f, 0x7fde2b86, 0xfa2f65c8, 0x7fdde24d, 0xfa291ef4,
-    0x7fdd98c4, 0xfa22d823,
-  0x7fdd4eec, 0xfa1c9157, 0x7fdd04c6, 0xfa164a8e, 0x7fdcba51, 0xfa1003c8,
-    0x7fdc6f8d, 0xfa09bd06,
-  0x7fdc247a, 0xfa037648, 0x7fdbd918, 0xf9fd2f8e, 0x7fdb8d67, 0xf9f6e8d7,
-    0x7fdb4167, 0xf9f0a224,
-  0x7fdaf519, 0xf9ea5b75, 0x7fdaa87c, 0xf9e414ca, 0x7fda5b8f, 0xf9ddce22,
-    0x7fda0e54, 0xf9d7877e,
-  0x7fd9c0ca, 0xf9d140de, 0x7fd972f2, 0xf9cafa42, 0x7fd924ca, 0xf9c4b3a9,
-    0x7fd8d653, 0xf9be6d15,
-  0x7fd8878e, 0xf9b82684, 0x7fd8387a, 0xf9b1dff7, 0x7fd7e917, 0xf9ab996e,
-    0x7fd79965, 0xf9a552e9,
-  0x7fd74964, 0xf99f0c68, 0x7fd6f914, 0xf998c5ea, 0x7fd6a875, 0xf9927f71,
-    0x7fd65788, 0xf98c38fc,
-  0x7fd6064c, 0xf985f28a, 0x7fd5b4c1, 0xf97fac1d, 0x7fd562e7, 0xf97965b4,
-    0x7fd510be, 0xf9731f4e,
-  0x7fd4be46, 0xf96cd8ed, 0x7fd46b80, 0xf9669290, 0x7fd4186a, 0xf9604c37,
-    0x7fd3c506, 0xf95a05e2,
-  0x7fd37153, 0xf953bf91, 0x7fd31d51, 0xf94d7944, 0x7fd2c900, 0xf94732fb,
-    0x7fd27460, 0xf940ecb7,
-  0x7fd21f72, 0xf93aa676, 0x7fd1ca35, 0xf934603a, 0x7fd174a8, 0xf92e1a02,
-    0x7fd11ecd, 0xf927d3ce,
-  0x7fd0c8a3, 0xf9218d9e, 0x7fd0722b, 0xf91b4773, 0x7fd01b63, 0xf915014c,
-    0x7fcfc44d, 0xf90ebb29,
-  0x7fcf6ce8, 0xf908750a, 0x7fcf1533, 0xf9022ef0, 0x7fcebd31, 0xf8fbe8da,
-    0x7fce64df, 0xf8f5a2c9,
-  0x7fce0c3e, 0xf8ef5cbb, 0x7fcdb34f, 0xf8e916b2, 0x7fcd5a11, 0xf8e2d0ae,
-    0x7fcd0083, 0xf8dc8aae,
-  0x7fcca6a7, 0xf8d644b2, 0x7fcc4c7d, 0xf8cffebb, 0x7fcbf203, 0xf8c9b8c8,
-    0x7fcb973b, 0xf8c372d9,
-  0x7fcb3c23, 0xf8bd2cef, 0x7fcae0bd, 0xf8b6e70a, 0x7fca8508, 0xf8b0a129,
-    0x7fca2905, 0xf8aa5b4c,
-  0x7fc9ccb2, 0xf8a41574, 0x7fc97011, 0xf89dcfa1, 0x7fc91320, 0xf89789d2,
-    0x7fc8b5e1, 0xf8914407,
-  0x7fc85854, 0xf88afe42, 0x7fc7fa77, 0xf884b880, 0x7fc79c4b, 0xf87e72c4,
-    0x7fc73dd1, 0xf8782d0c,
-  0x7fc6df08, 0xf871e759, 0x7fc67ff0, 0xf86ba1aa, 0x7fc62089, 0xf8655c00,
-    0x7fc5c0d3, 0xf85f165b,
-  0x7fc560cf, 0xf858d0bb, 0x7fc5007c, 0xf8528b1f, 0x7fc49fda, 0xf84c4588,
-    0x7fc43ee9, 0xf845fff5,
-  0x7fc3dda9, 0xf83fba68, 0x7fc37c1b, 0xf83974df, 0x7fc31a3d, 0xf8332f5b,
-    0x7fc2b811, 0xf82ce9dc,
-  0x7fc25596, 0xf826a462, 0x7fc1f2cc, 0xf8205eec, 0x7fc18fb4, 0xf81a197b,
-    0x7fc12c4d, 0xf813d410,
-  0x7fc0c896, 0xf80d8ea9, 0x7fc06491, 0xf8074947, 0x7fc0003e, 0xf80103ea,
-    0x7fbf9b9b, 0xf7fabe92,
-  0x7fbf36aa, 0xf7f4793e, 0x7fbed16a, 0xf7ee33f0, 0x7fbe6bdb, 0xf7e7eea7,
-    0x7fbe05fd, 0xf7e1a963,
-  0x7fbd9fd0, 0xf7db6423, 0x7fbd3955, 0xf7d51ee9, 0x7fbcd28b, 0xf7ced9b4,
-    0x7fbc6b72, 0xf7c89484,
-  0x7fbc040a, 0xf7c24f59, 0x7fbb9c53, 0xf7bc0a33, 0x7fbb344e, 0xf7b5c512,
-    0x7fbacbfa, 0xf7af7ff6,
-  0x7fba6357, 0xf7a93ae0, 0x7fb9fa65, 0xf7a2f5ce, 0x7fb99125, 0xf79cb0c2,
-    0x7fb92796, 0xf7966bbb,
-  0x7fb8bdb8, 0xf79026b9, 0x7fb8538b, 0xf789e1bc, 0x7fb7e90f, 0xf7839cc4,
-    0x7fb77e45, 0xf77d57d2,
-  0x7fb7132b, 0xf77712e5, 0x7fb6a7c3, 0xf770cdfd, 0x7fb63c0d, 0xf76a891b,
-    0x7fb5d007, 0xf764443d,
-  0x7fb563b3, 0xf75dff66, 0x7fb4f710, 0xf757ba93, 0x7fb48a1e, 0xf75175c6,
-    0x7fb41cdd, 0xf74b30fe,
-  0x7fb3af4e, 0xf744ec3b, 0x7fb34170, 0xf73ea77e, 0x7fb2d343, 0xf73862c6,
-    0x7fb264c7, 0xf7321e14,
-  0x7fb1f5fc, 0xf72bd967, 0x7fb186e3, 0xf72594c0, 0x7fb1177b, 0xf71f501e,
-    0x7fb0a7c4, 0xf7190b81,
-  0x7fb037bf, 0xf712c6ea, 0x7fafc76a, 0xf70c8259, 0x7faf56c7, 0xf7063dcd,
-    0x7faee5d5, 0xf6fff946,
-  0x7fae7495, 0xf6f9b4c6, 0x7fae0305, 0xf6f3704a, 0x7fad9127, 0xf6ed2bd4,
-    0x7fad1efa, 0xf6e6e764,
-  0x7facac7f, 0xf6e0a2fa, 0x7fac39b4, 0xf6da5e95, 0x7fabc69b, 0xf6d41a36,
-    0x7fab5333, 0xf6cdd5dc,
-  0x7faadf7c, 0xf6c79188, 0x7faa6b77, 0xf6c14d3a, 0x7fa9f723, 0xf6bb08f1,
-    0x7fa98280, 0xf6b4c4ae,
-  0x7fa90d8e, 0xf6ae8071, 0x7fa8984e, 0xf6a83c3a, 0x7fa822bf, 0xf6a1f808,
-    0x7fa7ace1, 0xf69bb3dd,
-  0x7fa736b4, 0xf6956fb7, 0x7fa6c039, 0xf68f2b96, 0x7fa6496e, 0xf688e77c,
-    0x7fa5d256, 0xf682a367,
-  0x7fa55aee, 0xf67c5f59, 0x7fa4e338, 0xf6761b50, 0x7fa46b32, 0xf66fd74d,
-    0x7fa3f2df, 0xf6699350,
-  0x7fa37a3c, 0xf6634f59, 0x7fa3014b, 0xf65d0b68, 0x7fa2880b, 0xf656c77c,
-    0x7fa20e7c, 0xf6508397,
-  0x7fa1949e, 0xf64a3fb8, 0x7fa11a72, 0xf643fbdf, 0x7fa09ff7, 0xf63db80b,
-    0x7fa0252e, 0xf637743e,
-  0x7f9faa15, 0xf6313077, 0x7f9f2eae, 0xf62aecb5, 0x7f9eb2f8, 0xf624a8fa,
-    0x7f9e36f4, 0xf61e6545,
-  0x7f9dbaa0, 0xf6182196, 0x7f9d3dfe, 0xf611dded, 0x7f9cc10d, 0xf60b9a4b,
-    0x7f9c43ce, 0xf60556ae,
-  0x7f9bc640, 0xf5ff1318, 0x7f9b4863, 0xf5f8cf87, 0x7f9aca37, 0xf5f28bfd,
-    0x7f9a4bbd, 0xf5ec4879,
-  0x7f99ccf4, 0xf5e604fc, 0x7f994ddc, 0xf5dfc184, 0x7f98ce76, 0xf5d97e13,
-    0x7f984ec1, 0xf5d33aa8,
-  0x7f97cebd, 0xf5ccf743, 0x7f974e6a, 0xf5c6b3e5, 0x7f96cdc9, 0xf5c0708d,
-    0x7f964cd9, 0xf5ba2d3b,
-  0x7f95cb9a, 0xf5b3e9f0, 0x7f954a0d, 0xf5ada6ab, 0x7f94c831, 0xf5a7636c,
-    0x7f944606, 0xf5a12034,
-  0x7f93c38c, 0xf59add02, 0x7f9340c4, 0xf59499d6, 0x7f92bdad, 0xf58e56b1,
-    0x7f923a48, 0xf5881393,
-  0x7f91b694, 0xf581d07b, 0x7f913291, 0xf57b8d69, 0x7f90ae3f, 0xf5754a5e,
-    0x7f90299f, 0xf56f0759,
-  0x7f8fa4b0, 0xf568c45b, 0x7f8f1f72, 0xf5628163, 0x7f8e99e6, 0xf55c3e72,
-    0x7f8e140a, 0xf555fb88,
-  0x7f8d8de1, 0xf54fb8a4, 0x7f8d0768, 0xf54975c6, 0x7f8c80a1, 0xf54332ef,
-    0x7f8bf98b, 0xf53cf01f,
-  0x7f8b7227, 0xf536ad56, 0x7f8aea74, 0xf5306a93, 0x7f8a6272, 0xf52a27d7,
-    0x7f89da21, 0xf523e521,
-  0x7f895182, 0xf51da273, 0x7f88c894, 0xf5175fca, 0x7f883f58, 0xf5111d29,
-    0x7f87b5cd, 0xf50ada8f,
-  0x7f872bf3, 0xf50497fb, 0x7f86a1ca, 0xf4fe556e, 0x7f861753, 0xf4f812e7,
-    0x7f858c8d, 0xf4f1d068,
-  0x7f850179, 0xf4eb8def, 0x7f847616, 0xf4e54b7d, 0x7f83ea64, 0xf4df0912,
-    0x7f835e64, 0xf4d8c6ae,
-  0x7f82d214, 0xf4d28451, 0x7f824577, 0xf4cc41fb, 0x7f81b88a, 0xf4c5ffab,
-    0x7f812b4f, 0xf4bfbd63,
-  0x7f809dc5, 0xf4b97b21, 0x7f800fed, 0xf4b338e7, 0x7f7f81c6, 0xf4acf6b3,
-    0x7f7ef350, 0xf4a6b486,
-  0x7f7e648c, 0xf4a07261, 0x7f7dd579, 0xf49a3042, 0x7f7d4617, 0xf493ee2b,
-    0x7f7cb667, 0xf48dac1a,
-  0x7f7c2668, 0xf4876a10, 0x7f7b961b, 0xf481280e, 0x7f7b057e, 0xf47ae613,
-    0x7f7a7494, 0xf474a41f,
-  0x7f79e35a, 0xf46e6231, 0x7f7951d2, 0xf468204b, 0x7f78bffb, 0xf461de6d,
-    0x7f782dd6, 0xf45b9c95,
-  0x7f779b62, 0xf4555ac5, 0x7f77089f, 0xf44f18fb, 0x7f76758e, 0xf448d739,
-    0x7f75e22e, 0xf442957e,
-  0x7f754e80, 0xf43c53cb, 0x7f74ba83, 0xf436121e, 0x7f742637, 0xf42fd079,
-    0x7f73919d, 0xf4298edc,
-  0x7f72fcb4, 0xf4234d45, 0x7f72677c, 0xf41d0bb6, 0x7f71d1f6, 0xf416ca2e,
-    0x7f713c21, 0xf41088ae,
-  0x7f70a5fe, 0xf40a4735, 0x7f700f8c, 0xf40405c3, 0x7f6f78cb, 0xf3fdc459,
-    0x7f6ee1bc, 0xf3f782f6,
-  0x7f6e4a5e, 0xf3f1419a, 0x7f6db2b1, 0xf3eb0046, 0x7f6d1ab6, 0xf3e4bef9,
-    0x7f6c826d, 0xf3de7db4,
-  0x7f6be9d4, 0xf3d83c77, 0x7f6b50ed, 0xf3d1fb40, 0x7f6ab7b8, 0xf3cbba12,
-    0x7f6a1e34, 0xf3c578eb,
-  0x7f698461, 0xf3bf37cb, 0x7f68ea40, 0xf3b8f6b3, 0x7f684fd0, 0xf3b2b5a3,
-    0x7f67b512, 0xf3ac749a,
-  0x7f671a05, 0xf3a63398, 0x7f667ea9, 0xf39ff29f, 0x7f65e2ff, 0xf399b1ad,
-    0x7f654706, 0xf39370c2,
-  0x7f64aabf, 0xf38d2fe0, 0x7f640e29, 0xf386ef05, 0x7f637144, 0xf380ae31,
-    0x7f62d411, 0xf37a6d66,
-  0x7f62368f, 0xf3742ca2, 0x7f6198bf, 0xf36debe6, 0x7f60faa0, 0xf367ab31,
-    0x7f605c33, 0xf3616a85,
-  0x7f5fbd77, 0xf35b29e0, 0x7f5f1e6c, 0xf354e943, 0x7f5e7f13, 0xf34ea8ae,
-    0x7f5ddf6b, 0xf3486820,
-  0x7f5d3f75, 0xf342279b, 0x7f5c9f30, 0xf33be71d, 0x7f5bfe9d, 0xf335a6a7,
-    0x7f5b5dbb, 0xf32f6639,
-  0x7f5abc8a, 0xf32925d3, 0x7f5a1b0b, 0xf322e575, 0x7f59793e, 0xf31ca51f,
-    0x7f58d721, 0xf31664d1,
-  0x7f5834b7, 0xf310248a, 0x7f5791fd, 0xf309e44c, 0x7f56eef5, 0xf303a416,
-    0x7f564b9f, 0xf2fd63e8,
-  0x7f55a7fa, 0xf2f723c1, 0x7f550407, 0xf2f0e3a3, 0x7f545fc5, 0xf2eaa38d,
-    0x7f53bb34, 0xf2e4637f,
-  0x7f531655, 0xf2de2379, 0x7f527127, 0xf2d7e37b, 0x7f51cbab, 0xf2d1a385,
-    0x7f5125e0, 0xf2cb6398,
-  0x7f507fc7, 0xf2c523b2, 0x7f4fd95f, 0xf2bee3d5, 0x7f4f32a9, 0xf2b8a400,
-    0x7f4e8ba4, 0xf2b26433,
-  0x7f4de451, 0xf2ac246e, 0x7f4d3caf, 0xf2a5e4b1, 0x7f4c94be, 0xf29fa4fd,
-    0x7f4bec7f, 0xf2996551,
-  0x7f4b43f2, 0xf29325ad, 0x7f4a9b16, 0xf28ce612, 0x7f49f1eb, 0xf286a67e,
-    0x7f494872, 0xf28066f4,
-  0x7f489eaa, 0xf27a2771, 0x7f47f494, 0xf273e7f7, 0x7f474a30, 0xf26da885,
-    0x7f469f7d, 0xf267691b,
-  0x7f45f47b, 0xf26129ba, 0x7f45492b, 0xf25aea61, 0x7f449d8c, 0xf254ab11,
-    0x7f43f19f, 0xf24e6bc9,
-  0x7f434563, 0xf2482c8a, 0x7f4298d9, 0xf241ed53, 0x7f41ec01, 0xf23bae24,
-    0x7f413ed9, 0xf2356efe,
-  0x7f409164, 0xf22f2fe1, 0x7f3fe3a0, 0xf228f0cc, 0x7f3f358d, 0xf222b1c0,
-    0x7f3e872c, 0xf21c72bc,
-  0x7f3dd87c, 0xf21633c0, 0x7f3d297e, 0xf20ff4ce, 0x7f3c7a31, 0xf209b5e4,
-    0x7f3bca96, 0xf2037702,
-  0x7f3b1aad, 0xf1fd3829, 0x7f3a6a75, 0xf1f6f959, 0x7f39b9ee, 0xf1f0ba91,
-    0x7f390919, 0xf1ea7bd2,
-  0x7f3857f6, 0xf1e43d1c, 0x7f37a684, 0xf1ddfe6f, 0x7f36f4c3, 0xf1d7bfca,
-    0x7f3642b4, 0xf1d1812e,
-  0x7f359057, 0xf1cb429a, 0x7f34ddab, 0xf1c50410, 0x7f342ab1, 0xf1bec58e,
-    0x7f337768, 0xf1b88715,
-  0x7f32c3d1, 0xf1b248a5, 0x7f320feb, 0xf1ac0a3e, 0x7f315bb7, 0xf1a5cbdf,
-    0x7f30a734, 0xf19f8d89,
-  0x7f2ff263, 0xf1994f3d, 0x7f2f3d44, 0xf19310f9, 0x7f2e87d6, 0xf18cd2be,
-    0x7f2dd219, 0xf186948c,
-  0x7f2d1c0e, 0xf1805662, 0x7f2c65b5, 0xf17a1842, 0x7f2baf0d, 0xf173da2b,
-    0x7f2af817, 0xf16d9c1d,
-  0x7f2a40d2, 0xf1675e17, 0x7f29893f, 0xf161201b, 0x7f28d15d, 0xf15ae228,
-    0x7f28192d, 0xf154a43d,
-  0x7f2760af, 0xf14e665c, 0x7f26a7e2, 0xf1482884, 0x7f25eec7, 0xf141eab5,
-    0x7f25355d, 0xf13bacef,
-  0x7f247ba5, 0xf1356f32, 0x7f23c19e, 0xf12f317e, 0x7f230749, 0xf128f3d4,
-    0x7f224ca6, 0xf122b632,
-  0x7f2191b4, 0xf11c789a, 0x7f20d674, 0xf1163b0b, 0x7f201ae5, 0xf10ffd85,
-    0x7f1f5f08, 0xf109c009,
-  0x7f1ea2dc, 0xf1038295, 0x7f1de662, 0xf0fd452b, 0x7f1d299a, 0xf0f707ca,
-    0x7f1c6c83, 0xf0f0ca72,
-  0x7f1baf1e, 0xf0ea8d24, 0x7f1af16a, 0xf0e44fdf, 0x7f1a3368, 0xf0de12a3,
-    0x7f197518, 0xf0d7d571,
-  0x7f18b679, 0xf0d19848, 0x7f17f78c, 0xf0cb5b28, 0x7f173850, 0xf0c51e12,
-    0x7f1678c6, 0xf0bee105,
-  0x7f15b8ee, 0xf0b8a401, 0x7f14f8c7, 0xf0b26707, 0x7f143852, 0xf0ac2a16,
-    0x7f13778e, 0xf0a5ed2f,
-  0x7f12b67c, 0xf09fb051, 0x7f11f51c, 0xf099737d, 0x7f11336d, 0xf09336b2,
-    0x7f107170, 0xf08cf9f1,
-  0x7f0faf25, 0xf086bd39, 0x7f0eec8b, 0xf080808b, 0x7f0e29a3, 0xf07a43e7,
-    0x7f0d666c, 0xf074074c,
-  0x7f0ca2e7, 0xf06dcaba, 0x7f0bdf14, 0xf0678e32, 0x7f0b1af2, 0xf06151b4,
-    0x7f0a5682, 0xf05b1540,
-  0x7f0991c4, 0xf054d8d5, 0x7f08ccb7, 0xf04e9c73, 0x7f08075c, 0xf048601c,
-    0x7f0741b2, 0xf04223ce,
-  0x7f067bba, 0xf03be78a, 0x7f05b574, 0xf035ab4f, 0x7f04eedf, 0xf02f6f1f,
-    0x7f0427fc, 0xf02932f8,
-  0x7f0360cb, 0xf022f6da, 0x7f02994b, 0xf01cbac7, 0x7f01d17d, 0xf0167ebd,
-    0x7f010961, 0xf01042be,
-  0x7f0040f6, 0xf00a06c8, 0x7eff783d, 0xf003cadc, 0x7efeaf36, 0xeffd8ef9,
-    0x7efde5e0, 0xeff75321,
-  0x7efd1c3c, 0xeff11753, 0x7efc524a, 0xefeadb8e, 0x7efb8809, 0xefe49fd3,
-    0x7efabd7a, 0xefde6423,
-  0x7ef9f29d, 0xefd8287c, 0x7ef92771, 0xefd1ecdf, 0x7ef85bf7, 0xefcbb14c,
-    0x7ef7902f, 0xefc575c3,
-  0x7ef6c418, 0xefbf3a45, 0x7ef5f7b3, 0xefb8fed0, 0x7ef52b00, 0xefb2c365,
-    0x7ef45dfe, 0xefac8804,
-  0x7ef390ae, 0xefa64cae, 0x7ef2c310, 0xefa01161, 0x7ef1f524, 0xef99d61f,
-    0x7ef126e9, 0xef939ae6,
-  0x7ef05860, 0xef8d5fb8, 0x7eef8988, 0xef872494, 0x7eeeba62, 0xef80e97a,
-    0x7eedeaee, 0xef7aae6b,
-  0x7eed1b2c, 0xef747365, 0x7eec4b1b, 0xef6e386a, 0x7eeb7abc, 0xef67fd79,
-    0x7eeaaa0f, 0xef61c292,
-  0x7ee9d914, 0xef5b87b5, 0x7ee907ca, 0xef554ce3, 0x7ee83632, 0xef4f121b,
-    0x7ee7644c, 0xef48d75d,
-  0x7ee69217, 0xef429caa, 0x7ee5bf94, 0xef3c6201, 0x7ee4ecc3, 0xef362762,
-    0x7ee419a3, 0xef2feccd,
-  0x7ee34636, 0xef29b243, 0x7ee2727a, 0xef2377c4, 0x7ee19e6f, 0xef1d3d4e,
-    0x7ee0ca17, 0xef1702e4,
-  0x7edff570, 0xef10c883, 0x7edf207b, 0xef0a8e2d, 0x7ede4b38, 0xef0453e2,
-    0x7edd75a6, 0xeefe19a1,
-  0x7edc9fc6, 0xeef7df6a, 0x7edbc998, 0xeef1a53e, 0x7edaf31c, 0xeeeb6b1c,
-    0x7eda1c51, 0xeee53105,
-  0x7ed94538, 0xeedef6f9, 0x7ed86dd1, 0xeed8bcf7, 0x7ed7961c, 0xeed28300,
-    0x7ed6be18, 0xeecc4913,
-  0x7ed5e5c6, 0xeec60f31, 0x7ed50d26, 0xeebfd55a, 0x7ed43438, 0xeeb99b8d,
-    0x7ed35afb, 0xeeb361cb,
-  0x7ed28171, 0xeead2813, 0x7ed1a798, 0xeea6ee66, 0x7ed0cd70, 0xeea0b4c4,
-    0x7ecff2fb, 0xee9a7b2d,
-  0x7ecf1837, 0xee9441a0, 0x7ece3d25, 0xee8e081e, 0x7ecd61c5, 0xee87cea7,
-    0x7ecc8617, 0xee81953b,
-  0x7ecbaa1a, 0xee7b5bd9, 0x7ecacdd0, 0xee752283, 0x7ec9f137, 0xee6ee937,
-    0x7ec9144f, 0xee68aff6,
-  0x7ec8371a, 0xee6276bf, 0x7ec75996, 0xee5c3d94, 0x7ec67bc5, 0xee560473,
-    0x7ec59da5, 0xee4fcb5e,
-  0x7ec4bf36, 0xee499253, 0x7ec3e07a, 0xee435953, 0x7ec3016f, 0xee3d205e,
-    0x7ec22217, 0xee36e775,
-  0x7ec14270, 0xee30ae96, 0x7ec0627a, 0xee2a75c2, 0x7ebf8237, 0xee243cf9,
-    0x7ebea1a6, 0xee1e043b,
-  0x7ebdc0c6, 0xee17cb88, 0x7ebcdf98, 0xee1192e0, 0x7ebbfe1c, 0xee0b5a43,
-    0x7ebb1c52, 0xee0521b2,
-  0x7eba3a39, 0xedfee92b, 0x7eb957d2, 0xedf8b0b0, 0x7eb8751e, 0xedf2783f,
-    0x7eb7921b, 0xedec3fda,
-  0x7eb6aeca, 0xede60780, 0x7eb5cb2a, 0xeddfcf31, 0x7eb4e73d, 0xedd996ed,
-    0x7eb40301, 0xedd35eb5,
-  0x7eb31e78, 0xedcd2687, 0x7eb239a0, 0xedc6ee65, 0x7eb1547a, 0xedc0b64e,
-    0x7eb06f05, 0xedba7e43,
-  0x7eaf8943, 0xedb44642, 0x7eaea333, 0xedae0e4d, 0x7eadbcd4, 0xeda7d664,
-    0x7eacd627, 0xeda19e85,
-  0x7eabef2c, 0xed9b66b2, 0x7eab07e3, 0xed952eea, 0x7eaa204c, 0xed8ef72e,
-    0x7ea93867, 0xed88bf7d,
-  0x7ea85033, 0xed8287d7, 0x7ea767b2, 0xed7c503d, 0x7ea67ee2, 0xed7618ae,
-    0x7ea595c4, 0xed6fe12b,
-  0x7ea4ac58, 0xed69a9b3, 0x7ea3c29e, 0xed637246, 0x7ea2d896, 0xed5d3ae5,
-    0x7ea1ee3f, 0xed570390,
-  0x7ea1039b, 0xed50cc46, 0x7ea018a8, 0xed4a9507, 0x7e9f2d68, 0xed445dd5,
-    0x7e9e41d9, 0xed3e26ad,
-  0x7e9d55fc, 0xed37ef91, 0x7e9c69d1, 0xed31b881, 0x7e9b7d58, 0xed2b817d,
-    0x7e9a9091, 0xed254a84,
-  0x7e99a37c, 0xed1f1396, 0x7e98b618, 0xed18dcb5, 0x7e97c867, 0xed12a5df,
-    0x7e96da67, 0xed0c6f14,
-  0x7e95ec1a, 0xed063856, 0x7e94fd7e, 0xed0001a3, 0x7e940e94, 0xecf9cafb,
-    0x7e931f5c, 0xecf39460,
-  0x7e922fd6, 0xeced5dd0, 0x7e914002, 0xece7274c, 0x7e904fe0, 0xece0f0d4,
-    0x7e8f5f70, 0xecdaba67,
-  0x7e8e6eb2, 0xecd48407, 0x7e8d7da6, 0xecce4db2, 0x7e8c8c4b, 0xecc81769,
-    0x7e8b9aa3, 0xecc1e12c,
-  0x7e8aa8ac, 0xecbbaafb, 0x7e89b668, 0xecb574d5, 0x7e88c3d5, 0xecaf3ebc,
-    0x7e87d0f5, 0xeca908ae,
-  0x7e86ddc6, 0xeca2d2ad, 0x7e85ea49, 0xec9c9cb7, 0x7e84f67e, 0xec9666cd,
-    0x7e840265, 0xec9030f0,
-  0x7e830dff, 0xec89fb1e, 0x7e82194a, 0xec83c558, 0x7e812447, 0xec7d8f9e,
-    0x7e802ef6, 0xec7759f1,
-  0x7e7f3957, 0xec71244f, 0x7e7e436a, 0xec6aeeba, 0x7e7d4d2f, 0xec64b930,
-    0x7e7c56a5, 0xec5e83b3,
-  0x7e7b5fce, 0xec584e41, 0x7e7a68a9, 0xec5218dc, 0x7e797136, 0xec4be383,
-    0x7e787975, 0xec45ae36,
-  0x7e778166, 0xec3f78f6, 0x7e768908, 0xec3943c1, 0x7e75905d, 0xec330e99,
-    0x7e749764, 0xec2cd97d,
-  0x7e739e1d, 0xec26a46d, 0x7e72a488, 0xec206f69, 0x7e71aaa4, 0xec1a3a72,
-    0x7e70b073, 0xec140587,
-  0x7e6fb5f4, 0xec0dd0a8, 0x7e6ebb27, 0xec079bd6, 0x7e6dc00c, 0xec01670f,
-    0x7e6cc4a2, 0xebfb3256,
-  0x7e6bc8eb, 0xebf4fda8, 0x7e6acce6, 0xebeec907, 0x7e69d093, 0xebe89472,
-    0x7e68d3f2, 0xebe25fea,
-  0x7e67d703, 0xebdc2b6e, 0x7e66d9c6, 0xebd5f6fe, 0x7e65dc3b, 0xebcfc29b,
-    0x7e64de62, 0xebc98e45,
-  0x7e63e03b, 0xebc359fb, 0x7e62e1c6, 0xebbd25bd, 0x7e61e303, 0xebb6f18c,
-    0x7e60e3f2, 0xebb0bd67,
-  0x7e5fe493, 0xebaa894f, 0x7e5ee4e6, 0xeba45543, 0x7e5de4ec, 0xeb9e2144,
-    0x7e5ce4a3, 0xeb97ed52,
-  0x7e5be40c, 0xeb91b96c, 0x7e5ae328, 0xeb8b8593, 0x7e59e1f5, 0xeb8551c6,
-    0x7e58e075, 0xeb7f1e06,
-  0x7e57dea7, 0xeb78ea52, 0x7e56dc8a, 0xeb72b6ac, 0x7e55da20, 0xeb6c8312,
-    0x7e54d768, 0xeb664f84,
-  0x7e53d462, 0xeb601c04, 0x7e52d10e, 0xeb59e890, 0x7e51cd6c, 0xeb53b529,
-    0x7e50c97c, 0xeb4d81ce,
-  0x7e4fc53e, 0xeb474e81, 0x7e4ec0b2, 0xeb411b40, 0x7e4dbbd9, 0xeb3ae80c,
-    0x7e4cb6b1, 0xeb34b4e4,
-  0x7e4bb13c, 0xeb2e81ca, 0x7e4aab78, 0xeb284ebc, 0x7e49a567, 0xeb221bbb,
-    0x7e489f08, 0xeb1be8c8,
-  0x7e47985b, 0xeb15b5e1, 0x7e469160, 0xeb0f8307, 0x7e458a17, 0xeb095039,
-    0x7e448281, 0xeb031d79,
-  0x7e437a9c, 0xeafceac6, 0x7e427269, 0xeaf6b81f, 0x7e4169e9, 0xeaf08586,
-    0x7e40611b, 0xeaea52fa,
-  0x7e3f57ff, 0xeae4207a, 0x7e3e4e95, 0xeaddee08, 0x7e3d44dd, 0xead7bba3,
-    0x7e3c3ad7, 0xead1894b,
-  0x7e3b3083, 0xeacb56ff, 0x7e3a25e2, 0xeac524c1, 0x7e391af3, 0xeabef290,
-    0x7e380fb5, 0xeab8c06c,
-  0x7e37042a, 0xeab28e56, 0x7e35f851, 0xeaac5c4c, 0x7e34ec2b, 0xeaa62a4f,
-    0x7e33dfb6, 0xea9ff860,
-  0x7e32d2f4, 0xea99c67e, 0x7e31c5e3, 0xea9394a9, 0x7e30b885, 0xea8d62e1,
-    0x7e2faad9, 0xea873127,
-  0x7e2e9cdf, 0xea80ff7a, 0x7e2d8e97, 0xea7acdda, 0x7e2c8002, 0xea749c47,
-    0x7e2b711f, 0xea6e6ac2,
-  0x7e2a61ed, 0xea683949, 0x7e29526e, 0xea6207df, 0x7e2842a2, 0xea5bd681,
-    0x7e273287, 0xea55a531,
-  0x7e26221f, 0xea4f73ee, 0x7e251168, 0xea4942b9, 0x7e240064, 0xea431191,
-    0x7e22ef12, 0xea3ce077,
-  0x7e21dd73, 0xea36af69, 0x7e20cb85, 0xea307e6a, 0x7e1fb94a, 0xea2a4d78,
-    0x7e1ea6c1, 0xea241c93,
-  0x7e1d93ea, 0xea1debbb, 0x7e1c80c5, 0xea17baf2, 0x7e1b6d53, 0xea118a35,
-    0x7e1a5992, 0xea0b5987,
-  0x7e194584, 0xea0528e5, 0x7e183128, 0xe9fef852, 0x7e171c7f, 0xe9f8c7cc,
-    0x7e160787, 0xe9f29753,
-  0x7e14f242, 0xe9ec66e8, 0x7e13dcaf, 0xe9e6368b, 0x7e12c6ce, 0xe9e0063c,
-    0x7e11b0a0, 0xe9d9d5fa,
-  0x7e109a24, 0xe9d3a5c5, 0x7e0f835a, 0xe9cd759f, 0x7e0e6c42, 0xe9c74586,
-    0x7e0d54dc, 0xe9c1157a,
-  0x7e0c3d29, 0xe9bae57d, 0x7e0b2528, 0xe9b4b58d, 0x7e0a0cd9, 0xe9ae85ab,
-    0x7e08f43d, 0xe9a855d7,
-  0x7e07db52, 0xe9a22610, 0x7e06c21a, 0xe99bf658, 0x7e05a894, 0xe995c6ad,
-    0x7e048ec1, 0xe98f9710,
-  0x7e0374a0, 0xe9896781, 0x7e025a31, 0xe98337ff, 0x7e013f74, 0xe97d088c,
-    0x7e00246a, 0xe976d926,
-  0x7dff0911, 0xe970a9ce, 0x7dfded6c, 0xe96a7a85, 0x7dfcd178, 0xe9644b49,
-    0x7dfbb537, 0xe95e1c1b,
-  0x7dfa98a8, 0xe957ecfb, 0x7df97bcb, 0xe951bde9, 0x7df85ea0, 0xe94b8ee5,
-    0x7df74128, 0xe9455fef,
-  0x7df62362, 0xe93f3107, 0x7df5054f, 0xe939022d, 0x7df3e6ee, 0xe932d361,
-    0x7df2c83f, 0xe92ca4a4,
-  0x7df1a942, 0xe92675f4, 0x7df089f8, 0xe9204752, 0x7def6a60, 0xe91a18bf,
-    0x7dee4a7a, 0xe913ea39,
-  0x7ded2a47, 0xe90dbbc2, 0x7dec09c6, 0xe9078d59, 0x7deae8f7, 0xe9015efe,
-    0x7de9c7da, 0xe8fb30b1,
-  0x7de8a670, 0xe8f50273, 0x7de784b9, 0xe8eed443, 0x7de662b3, 0xe8e8a621,
-    0x7de54060, 0xe8e2780d,
-  0x7de41dc0, 0xe8dc4a07, 0x7de2fad1, 0xe8d61c10, 0x7de1d795, 0xe8cfee27,
-    0x7de0b40b, 0xe8c9c04c,
-  0x7ddf9034, 0xe8c39280, 0x7dde6c0f, 0xe8bd64c2, 0x7ddd479d, 0xe8b73712,
-    0x7ddc22dc, 0xe8b10971,
-  0x7ddafdce, 0xe8aadbde, 0x7dd9d873, 0xe8a4ae59, 0x7dd8b2ca, 0xe89e80e3,
-    0x7dd78cd3, 0xe898537b,
-  0x7dd6668f, 0xe8922622, 0x7dd53ffc, 0xe88bf8d7, 0x7dd4191d, 0xe885cb9a,
-    0x7dd2f1f0, 0xe87f9e6c,
-  0x7dd1ca75, 0xe879714d, 0x7dd0a2ac, 0xe873443c, 0x7dcf7a96, 0xe86d173a,
-    0x7dce5232, 0xe866ea46,
-  0x7dcd2981, 0xe860bd61, 0x7dcc0082, 0xe85a908a, 0x7dcad736, 0xe85463c2,
-    0x7dc9ad9c, 0xe84e3708,
-  0x7dc883b4, 0xe8480a5d, 0x7dc7597f, 0xe841ddc1, 0x7dc62efc, 0xe83bb133,
-    0x7dc5042b, 0xe83584b4,
-  0x7dc3d90d, 0xe82f5844, 0x7dc2ada2, 0xe8292be3, 0x7dc181e8, 0xe822ff90,
-    0x7dc055e2, 0xe81cd34b,
-  0x7dbf298d, 0xe816a716, 0x7dbdfceb, 0xe8107aef, 0x7dbccffc, 0xe80a4ed7,
-    0x7dbba2bf, 0xe80422ce,
-  0x7dba7534, 0xe7fdf6d4, 0x7db9475c, 0xe7f7cae8, 0x7db81936, 0xe7f19f0c,
-    0x7db6eac3, 0xe7eb733e,
-  0x7db5bc02, 0xe7e5477f, 0x7db48cf4, 0xe7df1bcf, 0x7db35d98, 0xe7d8f02d,
-    0x7db22def, 0xe7d2c49b,
-  0x7db0fdf8, 0xe7cc9917, 0x7dafcdb3, 0xe7c66da3, 0x7dae9d21, 0xe7c0423d,
-    0x7dad6c42, 0xe7ba16e7,
-  0x7dac3b15, 0xe7b3eb9f, 0x7dab099a, 0xe7adc066, 0x7da9d7d2, 0xe7a7953d,
-    0x7da8a5bc, 0xe7a16a22,
-  0x7da77359, 0xe79b3f16, 0x7da640a9, 0xe795141a, 0x7da50dab, 0xe78ee92c,
-    0x7da3da5f, 0xe788be4e,
-  0x7da2a6c6, 0xe782937e, 0x7da172df, 0xe77c68be, 0x7da03eab, 0xe7763e0d,
-    0x7d9f0a29, 0xe770136b,
-  0x7d9dd55a, 0xe769e8d8, 0x7d9ca03e, 0xe763be55, 0x7d9b6ad3, 0xe75d93e0,
-    0x7d9a351c, 0xe757697b,
-  0x7d98ff17, 0xe7513f25, 0x7d97c8c4, 0xe74b14de, 0x7d969224, 0xe744eaa6,
-    0x7d955b37, 0xe73ec07e,
-  0x7d9423fc, 0xe7389665, 0x7d92ec73, 0xe7326c5b, 0x7d91b49e, 0xe72c4260,
-    0x7d907c7a, 0xe7261875,
-  0x7d8f4409, 0xe71fee99, 0x7d8e0b4b, 0xe719c4cd, 0x7d8cd240, 0xe7139b10,
-    0x7d8b98e6, 0xe70d7162,
-  0x7d8a5f40, 0xe70747c4, 0x7d89254c, 0xe7011e35, 0x7d87eb0a, 0xe6faf4b5,
-    0x7d86b07c, 0xe6f4cb45,
-  0x7d85759f, 0xe6eea1e4, 0x7d843a76, 0xe6e87893, 0x7d82fefe, 0xe6e24f51,
-    0x7d81c33a, 0xe6dc261f,
-  0x7d808728, 0xe6d5fcfc, 0x7d7f4ac8, 0xe6cfd3e9, 0x7d7e0e1c, 0xe6c9aae5,
-    0x7d7cd121, 0xe6c381f1,
-  0x7d7b93da, 0xe6bd590d, 0x7d7a5645, 0xe6b73038, 0x7d791862, 0xe6b10772,
-    0x7d77da32, 0xe6aadebc,
-  0x7d769bb5, 0xe6a4b616, 0x7d755cea, 0xe69e8d80, 0x7d741dd2, 0xe69864f9,
-    0x7d72de6d, 0xe6923c82,
-  0x7d719eba, 0xe68c141a, 0x7d705eba, 0xe685ebc2, 0x7d6f1e6c, 0xe67fc37a,
-    0x7d6dddd2, 0xe6799b42,
-  0x7d6c9ce9, 0xe6737319, 0x7d6b5bb4, 0xe66d4b01, 0x7d6a1a31, 0xe66722f7,
-    0x7d68d860, 0xe660fafe,
-  0x7d679642, 0xe65ad315, 0x7d6653d7, 0xe654ab3b, 0x7d65111f, 0xe64e8371,
-    0x7d63ce19, 0xe6485bb7,
-  0x7d628ac6, 0xe642340d, 0x7d614725, 0xe63c0c73, 0x7d600338, 0xe635e4e9,
-    0x7d5ebefc, 0xe62fbd6e,
-  0x7d5d7a74, 0xe6299604, 0x7d5c359e, 0xe6236ea9, 0x7d5af07b, 0xe61d475e,
-    0x7d59ab0a, 0xe6172024,
-  0x7d58654d, 0xe610f8f9, 0x7d571f41, 0xe60ad1de, 0x7d55d8e9, 0xe604aad4,
-    0x7d549243, 0xe5fe83d9,
-  0x7d534b50, 0xe5f85cef, 0x7d520410, 0xe5f23614, 0x7d50bc82, 0xe5ec0f4a,
-    0x7d4f74a7, 0xe5e5e88f,
-  0x7d4e2c7f, 0xe5dfc1e5, 0x7d4ce409, 0xe5d99b4b, 0x7d4b9b46, 0xe5d374c1,
-    0x7d4a5236, 0xe5cd4e47,
-  0x7d4908d9, 0xe5c727dd, 0x7d47bf2e, 0xe5c10184, 0x7d467536, 0xe5badb3a,
-    0x7d452af1, 0xe5b4b501,
-  0x7d43e05e, 0xe5ae8ed8, 0x7d42957e, 0xe5a868bf, 0x7d414a51, 0xe5a242b7,
-    0x7d3ffed7, 0xe59c1cbf,
-  0x7d3eb30f, 0xe595f6d7, 0x7d3d66fa, 0xe58fd0ff, 0x7d3c1a98, 0xe589ab38,
-    0x7d3acde9, 0xe5838581,
-  0x7d3980ec, 0xe57d5fda, 0x7d3833a2, 0xe5773a44, 0x7d36e60b, 0xe57114be,
-    0x7d359827, 0xe56aef49,
-  0x7d3449f5, 0xe564c9e3, 0x7d32fb76, 0xe55ea48f, 0x7d31acaa, 0xe5587f4a,
-    0x7d305d91, 0xe5525a17,
-  0x7d2f0e2b, 0xe54c34f3, 0x7d2dbe77, 0xe5460fe0, 0x7d2c6e76, 0xe53feade,
-    0x7d2b1e28, 0xe539c5ec,
-  0x7d29cd8c, 0xe533a10a, 0x7d287ca4, 0xe52d7c39, 0x7d272b6e, 0xe5275779,
-    0x7d25d9eb, 0xe52132c9,
-  0x7d24881b, 0xe51b0e2a, 0x7d2335fe, 0xe514e99b, 0x7d21e393, 0xe50ec51d,
-    0x7d2090db, 0xe508a0b0,
-  0x7d1f3dd6, 0xe5027c53, 0x7d1dea84, 0xe4fc5807, 0x7d1c96e5, 0xe4f633cc,
-    0x7d1b42f9, 0xe4f00fa1,
-  0x7d19eebf, 0xe4e9eb87, 0x7d189a38, 0xe4e3c77d, 0x7d174564, 0xe4dda385,
-    0x7d15f043, 0xe4d77f9d,
-  0x7d149ad5, 0xe4d15bc6, 0x7d134519, 0xe4cb37ff, 0x7d11ef11, 0xe4c5144a,
-    0x7d1098bb, 0xe4bef0a5,
-  0x7d0f4218, 0xe4b8cd11, 0x7d0deb28, 0xe4b2a98e, 0x7d0c93eb, 0xe4ac861b,
-    0x7d0b3c60, 0xe4a662ba,
-  0x7d09e489, 0xe4a03f69, 0x7d088c64, 0xe49a1c29, 0x7d0733f3, 0xe493f8fb,
-    0x7d05db34, 0xe48dd5dd,
-  0x7d048228, 0xe487b2d0, 0x7d0328cf, 0xe4818fd4, 0x7d01cf29, 0xe47b6ce9,
-    0x7d007535, 0xe4754a0e,
-  0x7cff1af5, 0xe46f2745, 0x7cfdc068, 0xe469048d, 0x7cfc658d, 0xe462e1e6,
-    0x7cfb0a65, 0xe45cbf50,
-  0x7cf9aef0, 0xe4569ccb, 0x7cf8532f, 0xe4507a57, 0x7cf6f720, 0xe44a57f4,
-    0x7cf59ac4, 0xe44435a2,
-  0x7cf43e1a, 0xe43e1362, 0x7cf2e124, 0xe437f132, 0x7cf183e1, 0xe431cf14,
-    0x7cf02651, 0xe42bad07,
-  0x7ceec873, 0xe4258b0a, 0x7ced6a49, 0xe41f6920, 0x7cec0bd1, 0xe4194746,
-    0x7ceaad0c, 0xe413257d,
-  0x7ce94dfb, 0xe40d03c6, 0x7ce7ee9c, 0xe406e220, 0x7ce68ef0, 0xe400c08b,
-    0x7ce52ef7, 0xe3fa9f08,
-  0x7ce3ceb2, 0xe3f47d96, 0x7ce26e1f, 0xe3ee5c35, 0x7ce10d3f, 0xe3e83ae5,
-    0x7cdfac12, 0xe3e219a7,
-  0x7cde4a98, 0xe3dbf87a, 0x7cdce8d1, 0xe3d5d75e, 0x7cdb86bd, 0xe3cfb654,
-    0x7cda245c, 0xe3c9955b,
-  0x7cd8c1ae, 0xe3c37474, 0x7cd75eb3, 0xe3bd539e, 0x7cd5fb6a, 0xe3b732d9,
-    0x7cd497d5, 0xe3b11226,
-  0x7cd333f3, 0xe3aaf184, 0x7cd1cfc4, 0xe3a4d0f4, 0x7cd06b48, 0xe39eb075,
-    0x7ccf067f, 0xe3989008,
-  0x7ccda169, 0xe3926fad, 0x7ccc3c06, 0xe38c4f63, 0x7ccad656, 0xe3862f2a,
-    0x7cc97059, 0xe3800f03,
-  0x7cc80a0f, 0xe379eeed, 0x7cc6a378, 0xe373ceea, 0x7cc53c94, 0xe36daef7,
-    0x7cc3d563, 0xe3678f17,
-  0x7cc26de5, 0xe3616f48, 0x7cc1061a, 0xe35b4f8b, 0x7cbf9e03, 0xe3552fdf,
-    0x7cbe359e, 0xe34f1045,
-  0x7cbcccec, 0xe348f0bd, 0x7cbb63ee, 0xe342d146, 0x7cb9faa2, 0xe33cb1e1,
-    0x7cb8910a, 0xe336928e,
-  0x7cb72724, 0xe330734d, 0x7cb5bcf2, 0xe32a541d, 0x7cb45272, 0xe3243500,
-    0x7cb2e7a6, 0xe31e15f4,
-  0x7cb17c8d, 0xe317f6fa, 0x7cb01127, 0xe311d811, 0x7caea574, 0xe30bb93b,
-    0x7cad3974, 0xe3059a76,
-  0x7cabcd28, 0xe2ff7bc3, 0x7caa608e, 0xe2f95d23, 0x7ca8f3a7, 0xe2f33e94,
-    0x7ca78674, 0xe2ed2017,
-  0x7ca618f3, 0xe2e701ac, 0x7ca4ab26, 0xe2e0e352, 0x7ca33d0c, 0xe2dac50b,
-    0x7ca1cea5, 0xe2d4a6d6,
-  0x7ca05ff1, 0xe2ce88b3, 0x7c9ef0f0, 0xe2c86aa2, 0x7c9d81a3, 0xe2c24ca2,
-    0x7c9c1208, 0xe2bc2eb5,
-  0x7c9aa221, 0xe2b610da, 0x7c9931ec, 0xe2aff311, 0x7c97c16b, 0xe2a9d55a,
-    0x7c96509d, 0xe2a3b7b5,
-  0x7c94df83, 0xe29d9a23, 0x7c936e1b, 0xe2977ca2, 0x7c91fc66, 0xe2915f34,
-    0x7c908a65, 0xe28b41d7,
-  0x7c8f1817, 0xe285248d, 0x7c8da57c, 0xe27f0755, 0x7c8c3294, 0xe278ea30,
-    0x7c8abf5f, 0xe272cd1c,
-  0x7c894bde, 0xe26cb01b, 0x7c87d810, 0xe266932c, 0x7c8663f4, 0xe260764f,
-    0x7c84ef8c, 0xe25a5984,
-  0x7c837ad8, 0xe2543ccc, 0x7c8205d6, 0xe24e2026, 0x7c809088, 0xe2480393,
-    0x7c7f1aed, 0xe241e711,
-  0x7c7da505, 0xe23bcaa2, 0x7c7c2ed0, 0xe235ae46, 0x7c7ab84e, 0xe22f91fc,
-    0x7c794180, 0xe22975c4,
-  0x7c77ca65, 0xe223599e, 0x7c7652fd, 0xe21d3d8b, 0x7c74db48, 0xe217218b,
-    0x7c736347, 0xe211059d,
-  0x7c71eaf9, 0xe20ae9c1, 0x7c70725e, 0xe204cdf8, 0x7c6ef976, 0xe1feb241,
-    0x7c6d8041, 0xe1f8969d,
-  0x7c6c06c0, 0xe1f27b0b, 0x7c6a8cf2, 0xe1ec5f8c, 0x7c6912d7, 0xe1e64420,
-    0x7c679870, 0xe1e028c6,
-  0x7c661dbc, 0xe1da0d7e, 0x7c64a2bb, 0xe1d3f24a, 0x7c63276d, 0xe1cdd727,
-    0x7c61abd3, 0xe1c7bc18,
-  0x7c602fec, 0xe1c1a11b, 0x7c5eb3b8, 0xe1bb8631, 0x7c5d3737, 0xe1b56b59,
-    0x7c5bba6a, 0xe1af5094,
-  0x7c5a3d50, 0xe1a935e2, 0x7c58bfe9, 0xe1a31b42, 0x7c574236, 0xe19d00b6,
-    0x7c55c436, 0xe196e63c,
-  0x7c5445e9, 0xe190cbd4, 0x7c52c74f, 0xe18ab180, 0x7c514869, 0xe184973e,
-    0x7c4fc936, 0xe17e7d0f,
-  0x7c4e49b7, 0xe17862f3, 0x7c4cc9ea, 0xe17248ea, 0x7c4b49d2, 0xe16c2ef4,
-    0x7c49c96c, 0xe1661510,
-  0x7c4848ba, 0xe15ffb3f, 0x7c46c7bb, 0xe159e182, 0x7c45466f, 0xe153c7d7,
-    0x7c43c4d7, 0xe14dae3f,
-  0x7c4242f2, 0xe14794ba, 0x7c40c0c1, 0xe1417b48, 0x7c3f3e42, 0xe13b61e9,
-    0x7c3dbb78, 0xe135489d,
-  0x7c3c3860, 0xe12f2f63, 0x7c3ab4fc, 0xe129163d, 0x7c39314b, 0xe122fd2a,
-    0x7c37ad4e, 0xe11ce42a,
-  0x7c362904, 0xe116cb3d, 0x7c34a46d, 0xe110b263, 0x7c331f8a, 0xe10a999c,
-    0x7c319a5a, 0xe10480e9,
-  0x7c3014de, 0xe0fe6848, 0x7c2e8f15, 0xe0f84fbb, 0x7c2d08ff, 0xe0f23740,
-    0x7c2b829d, 0xe0ec1ed9,
-  0x7c29fbee, 0xe0e60685, 0x7c2874f3, 0xe0dfee44, 0x7c26edab, 0xe0d9d616,
-    0x7c256616, 0xe0d3bdfc,
-  0x7c23de35, 0xe0cda5f5, 0x7c225607, 0xe0c78e01, 0x7c20cd8d, 0xe0c17620,
-    0x7c1f44c6, 0xe0bb5e53,
-  0x7c1dbbb3, 0xe0b54698, 0x7c1c3253, 0xe0af2ef2, 0x7c1aa8a6, 0xe0a9175e,
-    0x7c191ead, 0xe0a2ffde,
-  0x7c179467, 0xe09ce871, 0x7c1609d5, 0xe096d117, 0x7c147ef6, 0xe090b9d1,
-    0x7c12f3cb, 0xe08aa29f,
-  0x7c116853, 0xe0848b7f, 0x7c0fdc8f, 0xe07e7473, 0x7c0e507e, 0xe0785d7b,
-    0x7c0cc421, 0xe0724696,
-  0x7c0b3777, 0xe06c2fc4, 0x7c09aa80, 0xe0661906, 0x7c081d3d, 0xe060025c,
-    0x7c068fae, 0xe059ebc5,
-  0x7c0501d2, 0xe053d541, 0x7c0373a9, 0xe04dbed1, 0x7c01e534, 0xe047a875,
-    0x7c005673, 0xe041922c,
-  0x7bfec765, 0xe03b7bf6, 0x7bfd380a, 0xe03565d5, 0x7bfba863, 0xe02f4fc6,
-    0x7bfa1870, 0xe02939cc,
-  0x7bf88830, 0xe02323e5, 0x7bf6f7a4, 0xe01d0e12, 0x7bf566cb, 0xe016f852,
-    0x7bf3d5a6, 0xe010e2a7,
-  0x7bf24434, 0xe00acd0e, 0x7bf0b276, 0xe004b78a, 0x7bef206b, 0xdffea219,
-    0x7bed8e14, 0xdff88cbc,
-  0x7bebfb70, 0xdff27773, 0x7bea6880, 0xdfec623e, 0x7be8d544, 0xdfe64d1c,
-    0x7be741bb, 0xdfe0380e,
-  0x7be5ade6, 0xdfda2314, 0x7be419c4, 0xdfd40e2e, 0x7be28556, 0xdfcdf95c,
-    0x7be0f09b, 0xdfc7e49d,
-  0x7bdf5b94, 0xdfc1cff3, 0x7bddc641, 0xdfbbbb5c, 0x7bdc30a1, 0xdfb5a6d9,
-    0x7bda9ab5, 0xdfaf926a,
-  0x7bd9047c, 0xdfa97e0f, 0x7bd76df7, 0xdfa369c8, 0x7bd5d726, 0xdf9d5595,
-    0x7bd44008, 0xdf974176,
-  0x7bd2a89e, 0xdf912d6b, 0x7bd110e8, 0xdf8b1974, 0x7bcf78e5, 0xdf850591,
-    0x7bcde095, 0xdf7ef1c2,
-  0x7bcc47fa, 0xdf78de07, 0x7bcaaf12, 0xdf72ca60, 0x7bc915dd, 0xdf6cb6cd,
-    0x7bc77c5d, 0xdf66a34e,
-  0x7bc5e290, 0xdf608fe4, 0x7bc44876, 0xdf5a7c8d, 0x7bc2ae10, 0xdf54694b,
-    0x7bc1135e, 0xdf4e561c,
-  0x7bbf7860, 0xdf484302, 0x7bbddd15, 0xdf422ffd, 0x7bbc417e, 0xdf3c1d0b,
-    0x7bbaa59a, 0xdf360a2d,
-  0x7bb9096b, 0xdf2ff764, 0x7bb76cef, 0xdf29e4af, 0x7bb5d026, 0xdf23d20e,
-    0x7bb43311, 0xdf1dbf82,
-  0x7bb295b0, 0xdf17ad0a, 0x7bb0f803, 0xdf119aa6, 0x7baf5a09, 0xdf0b8856,
-    0x7badbbc3, 0xdf05761b,
-  0x7bac1d31, 0xdeff63f4, 0x7baa7e53, 0xdef951e2, 0x7ba8df28, 0xdef33fe3,
-    0x7ba73fb1, 0xdeed2dfa,
-  0x7ba59fee, 0xdee71c24, 0x7ba3ffde, 0xdee10a63, 0x7ba25f82, 0xdedaf8b7,
-    0x7ba0beda, 0xded4e71f,
-  0x7b9f1de6, 0xdeced59b, 0x7b9d7ca5, 0xdec8c42c, 0x7b9bdb18, 0xdec2b2d1,
-    0x7b9a393f, 0xdebca18b,
-  0x7b989719, 0xdeb69059, 0x7b96f4a8, 0xdeb07f3c, 0x7b9551ea, 0xdeaa6e34,
-    0x7b93aee0, 0xdea45d40,
-  0x7b920b89, 0xde9e4c60, 0x7b9067e7, 0xde983b95, 0x7b8ec3f8, 0xde922adf,
-    0x7b8d1fbd, 0xde8c1a3e,
-  0x7b8b7b36, 0xde8609b1, 0x7b89d662, 0xde7ff938, 0x7b883143, 0xde79e8d5,
-    0x7b868bd7, 0xde73d886,
-  0x7b84e61f, 0xde6dc84b, 0x7b83401b, 0xde67b826, 0x7b8199ca, 0xde61a815,
-    0x7b7ff32e, 0xde5b9819,
-  0x7b7e4c45, 0xde558831, 0x7b7ca510, 0xde4f785f, 0x7b7afd8f, 0xde4968a1,
-    0x7b7955c2, 0xde4358f8,
-  0x7b77ada8, 0xde3d4964, 0x7b760542, 0xde3739e4, 0x7b745c91, 0xde312a7a,
-    0x7b72b393, 0xde2b1b24,
-  0x7b710a49, 0xde250be3, 0x7b6f60b2, 0xde1efcb7, 0x7b6db6d0, 0xde18eda0,
-    0x7b6c0ca2, 0xde12de9e,
-  0x7b6a6227, 0xde0ccfb1, 0x7b68b760, 0xde06c0d9, 0x7b670c4d, 0xde00b216,
-    0x7b6560ee, 0xddfaa367,
-  0x7b63b543, 0xddf494ce, 0x7b62094c, 0xddee8649, 0x7b605d09, 0xdde877da,
-    0x7b5eb079, 0xdde26980,
-  0x7b5d039e, 0xdddc5b3b, 0x7b5b5676, 0xddd64d0a, 0x7b59a902, 0xddd03eef,
-    0x7b57fb42, 0xddca30e9,
-  0x7b564d36, 0xddc422f8, 0x7b549ede, 0xddbe151d, 0x7b52f03a, 0xddb80756,
-    0x7b51414a, 0xddb1f9a4,
-  0x7b4f920e, 0xddabec08, 0x7b4de286, 0xdda5de81, 0x7b4c32b1, 0xdd9fd10f,
-    0x7b4a8291, 0xdd99c3b2,
-  0x7b48d225, 0xdd93b66a, 0x7b47216c, 0xdd8da938, 0x7b457068, 0xdd879c1b,
-    0x7b43bf17, 0xdd818f13,
-  0x7b420d7a, 0xdd7b8220, 0x7b405b92, 0xdd757543, 0x7b3ea95d, 0xdd6f687b,
-    0x7b3cf6dc, 0xdd695bc9,
-  0x7b3b4410, 0xdd634f2b, 0x7b3990f7, 0xdd5d42a3, 0x7b37dd92, 0xdd573631,
-    0x7b3629e1, 0xdd5129d4,
-  0x7b3475e5, 0xdd4b1d8c, 0x7b32c19c, 0xdd451159, 0x7b310d07, 0xdd3f053c,
-    0x7b2f5826, 0xdd38f935,
-  0x7b2da2fa, 0xdd32ed43, 0x7b2bed81, 0xdd2ce166, 0x7b2a37bc, 0xdd26d59f,
-    0x7b2881ac, 0xdd20c9ed,
-  0x7b26cb4f, 0xdd1abe51, 0x7b2514a6, 0xdd14b2ca, 0x7b235db2, 0xdd0ea759,
-    0x7b21a671, 0xdd089bfe,
-  0x7b1feee5, 0xdd0290b8, 0x7b1e370d, 0xdcfc8588, 0x7b1c7ee8, 0xdcf67a6d,
-    0x7b1ac678, 0xdcf06f68,
-  0x7b190dbc, 0xdcea6478, 0x7b1754b3, 0xdce4599e, 0x7b159b5f, 0xdcde4eda,
-    0x7b13e1bf, 0xdcd8442b,
-  0x7b1227d3, 0xdcd23993, 0x7b106d9b, 0xdccc2f0f, 0x7b0eb318, 0xdcc624a2,
-    0x7b0cf848, 0xdcc01a4a,
-  0x7b0b3d2c, 0xdcba1008, 0x7b0981c5, 0xdcb405dc, 0x7b07c612, 0xdcadfbc5,
-    0x7b060a12, 0xdca7f1c5,
-  0x7b044dc7, 0xdca1e7da, 0x7b029130, 0xdc9bde05, 0x7b00d44d, 0xdc95d446,
-    0x7aff171e, 0xdc8fca9c,
-  0x7afd59a4, 0xdc89c109, 0x7afb9bdd, 0xdc83b78b, 0x7af9ddcb, 0xdc7dae23,
-    0x7af81f6c, 0xdc77a4d2,
-  0x7af660c2, 0xdc719b96, 0x7af4a1cc, 0xdc6b9270, 0x7af2e28b, 0xdc658960,
-    0x7af122fd, 0xdc5f8066,
-  0x7aef6323, 0xdc597781, 0x7aeda2fe, 0xdc536eb3, 0x7aebe28d, 0xdc4d65fb,
-    0x7aea21d0, 0xdc475d59,
-  0x7ae860c7, 0xdc4154cd, 0x7ae69f73, 0xdc3b4c57, 0x7ae4ddd2, 0xdc3543f7,
-    0x7ae31be6, 0xdc2f3bad,
-  0x7ae159ae, 0xdc293379, 0x7adf972a, 0xdc232b5c, 0x7addd45b, 0xdc1d2354,
-    0x7adc113f, 0xdc171b63,
-  0x7ada4dd8, 0xdc111388, 0x7ad88a25, 0xdc0b0bc2, 0x7ad6c626, 0xdc050414,
-    0x7ad501dc, 0xdbfefc7b,
-  0x7ad33d45, 0xdbf8f4f8, 0x7ad17863, 0xdbf2ed8c, 0x7acfb336, 0xdbece636,
-    0x7acdedbc, 0xdbe6def6,
-  0x7acc27f7, 0xdbe0d7cd, 0x7aca61e6, 0xdbdad0b9, 0x7ac89b89, 0xdbd4c9bc,
-    0x7ac6d4e0, 0xdbcec2d6,
-  0x7ac50dec, 0xdbc8bc06, 0x7ac346ac, 0xdbc2b54c, 0x7ac17f20, 0xdbbcaea8,
-    0x7abfb749, 0xdbb6a81b,
-  0x7abdef25, 0xdbb0a1a4, 0x7abc26b7, 0xdbaa9b43, 0x7aba5dfc, 0xdba494f9,
-    0x7ab894f6, 0xdb9e8ec6,
-  0x7ab6cba4, 0xdb9888a8, 0x7ab50206, 0xdb9282a2, 0x7ab3381d, 0xdb8c7cb1,
-    0x7ab16de7, 0xdb8676d8,
-  0x7aafa367, 0xdb807114, 0x7aadd89a, 0xdb7a6b68, 0x7aac0d82, 0xdb7465d1,
-    0x7aaa421e, 0xdb6e6052,
-  0x7aa8766f, 0xdb685ae9, 0x7aa6aa74, 0xdb625596, 0x7aa4de2d, 0xdb5c505a,
-    0x7aa3119a, 0xdb564b35,
-  0x7aa144bc, 0xdb504626, 0x7a9f7793, 0xdb4a412e, 0x7a9daa1d, 0xdb443c4c,
-    0x7a9bdc5c, 0xdb3e3781,
-  0x7a9a0e50, 0xdb3832cd, 0x7a983ff7, 0xdb322e30, 0x7a967153, 0xdb2c29a9,
-    0x7a94a264, 0xdb262539,
-  0x7a92d329, 0xdb2020e0, 0x7a9103a2, 0xdb1a1c9d, 0x7a8f33d0, 0xdb141871,
-    0x7a8d63b2, 0xdb0e145c,
-  0x7a8b9348, 0xdb08105e, 0x7a89c293, 0xdb020c77, 0x7a87f192, 0xdafc08a6,
-    0x7a862046, 0xdaf604ec,
-  0x7a844eae, 0xdaf00149, 0x7a827ccb, 0xdae9fdbd, 0x7a80aa9c, 0xdae3fa48,
-    0x7a7ed821, 0xdaddf6ea,
-  0x7a7d055b, 0xdad7f3a2, 0x7a7b3249, 0xdad1f072, 0x7a795eec, 0xdacbed58,
-    0x7a778b43, 0xdac5ea56,
-  0x7a75b74f, 0xdabfe76a, 0x7a73e30f, 0xdab9e495, 0x7a720e84, 0xdab3e1d8,
-    0x7a7039ad, 0xdaaddf31,
-  0x7a6e648a, 0xdaa7dca1, 0x7a6c8f1c, 0xdaa1da29, 0x7a6ab963, 0xda9bd7c7,
-    0x7a68e35e, 0xda95d57d,
-  0x7a670d0d, 0xda8fd349, 0x7a653671, 0xda89d12d, 0x7a635f8a, 0xda83cf28,
-    0x7a618857, 0xda7dcd3a,
-  0x7a5fb0d8, 0xda77cb63, 0x7a5dd90e, 0xda71c9a3, 0x7a5c00f9, 0xda6bc7fa,
-    0x7a5a2898, 0xda65c669,
-  0x7a584feb, 0xda5fc4ef, 0x7a5676f3, 0xda59c38c, 0x7a549db0, 0xda53c240,
-    0x7a52c421, 0xda4dc10b,
-  0x7a50ea47, 0xda47bfee, 0x7a4f1021, 0xda41bee8, 0x7a4d35b0, 0xda3bbdf9,
-    0x7a4b5af3, 0xda35bd22,
-  0x7a497feb, 0xda2fbc61, 0x7a47a498, 0xda29bbb9, 0x7a45c8f9, 0xda23bb27,
-    0x7a43ed0e, 0xda1dbaad,
-  0x7a4210d8, 0xda17ba4a, 0x7a403457, 0xda11b9ff, 0x7a3e578b, 0xda0bb9cb,
-    0x7a3c7a73, 0xda05b9ae,
-  0x7a3a9d0f, 0xd9ffb9a9, 0x7a38bf60, 0xd9f9b9bb, 0x7a36e166, 0xd9f3b9e5,
-    0x7a350321, 0xd9edba26,
-  0x7a332490, 0xd9e7ba7f, 0x7a3145b3, 0xd9e1baef, 0x7a2f668c, 0xd9dbbb77,
-    0x7a2d8719, 0xd9d5bc16,
-  0x7a2ba75a, 0xd9cfbccd, 0x7a29c750, 0xd9c9bd9b, 0x7a27e6fb, 0xd9c3be81,
-    0x7a26065b, 0xd9bdbf7e,
-  0x7a24256f, 0xd9b7c094, 0x7a224437, 0xd9b1c1c0, 0x7a2062b5, 0xd9abc305,
-    0x7a1e80e7, 0xd9a5c461,
-  0x7a1c9ece, 0xd99fc5d4, 0x7a1abc69, 0xd999c75f, 0x7a18d9b9, 0xd993c902,
-    0x7a16f6be, 0xd98dcabd,
-  0x7a151378, 0xd987cc90, 0x7a132fe6, 0xd981ce7a, 0x7a114c09, 0xd97bd07c,
-    0x7a0f67e0, 0xd975d295,
-  0x7a0d836d, 0xd96fd4c7, 0x7a0b9eae, 0xd969d710, 0x7a09b9a4, 0xd963d971,
-    0x7a07d44e, 0xd95ddbea,
-  0x7a05eead, 0xd957de7a, 0x7a0408c1, 0xd951e123, 0x7a02228a, 0xd94be3e3,
-    0x7a003c07, 0xd945e6bb,
-  0x79fe5539, 0xd93fe9ab, 0x79fc6e20, 0xd939ecb3, 0x79fa86bc, 0xd933efd3,
-    0x79f89f0c, 0xd92df30b,
-  0x79f6b711, 0xd927f65b, 0x79f4cecb, 0xd921f9c3, 0x79f2e63a, 0xd91bfd43,
-    0x79f0fd5d, 0xd91600da,
-  0x79ef1436, 0xd910048a, 0x79ed2ac3, 0xd90a0852, 0x79eb4105, 0xd9040c32,
-    0x79e956fb, 0xd8fe1029,
-  0x79e76ca7, 0xd8f81439, 0x79e58207, 0xd8f21861, 0x79e3971c, 0xd8ec1ca1,
-    0x79e1abe6, 0xd8e620fa,
-  0x79dfc064, 0xd8e0256a, 0x79ddd498, 0xd8da29f2, 0x79dbe880, 0xd8d42e93,
-    0x79d9fc1d, 0xd8ce334c,
-  0x79d80f6f, 0xd8c8381d, 0x79d62276, 0xd8c23d06, 0x79d43532, 0xd8bc4207,
-    0x79d247a2, 0xd8b64720,
-  0x79d059c8, 0xd8b04c52, 0x79ce6ba2, 0xd8aa519c, 0x79cc7d31, 0xd8a456ff,
-    0x79ca8e75, 0xd89e5c79,
-  0x79c89f6e, 0xd898620c, 0x79c6b01b, 0xd89267b7, 0x79c4c07e, 0xd88c6d7b,
-    0x79c2d095, 0xd8867356,
-  0x79c0e062, 0xd880794b, 0x79beefe3, 0xd87a7f57, 0x79bcff19, 0xd874857c,
-    0x79bb0e04, 0xd86e8bb9,
-  0x79b91ca4, 0xd868920f, 0x79b72af9, 0xd862987d, 0x79b53903, 0xd85c9f04,
-    0x79b346c2, 0xd856a5a3,
-  0x79b15435, 0xd850ac5a, 0x79af615e, 0xd84ab32a, 0x79ad6e3c, 0xd844ba13,
-    0x79ab7ace, 0xd83ec114,
-  0x79a98715, 0xd838c82d, 0x79a79312, 0xd832cf5f, 0x79a59ec3, 0xd82cd6aa,
-    0x79a3aa29, 0xd826de0d,
-  0x79a1b545, 0xd820e589, 0x799fc015, 0xd81aed1d, 0x799dca9a, 0xd814f4ca,
-    0x799bd4d4, 0xd80efc8f,
-  0x7999dec4, 0xd809046e, 0x7997e868, 0xd8030c64, 0x7995f1c1, 0xd7fd1474,
-    0x7993facf, 0xd7f71c9c,
-  0x79920392, 0xd7f124dd, 0x79900c0a, 0xd7eb2d37, 0x798e1438, 0xd7e535a9,
-    0x798c1c1a, 0xd7df3e34,
-  0x798a23b1, 0xd7d946d8, 0x79882afd, 0xd7d34f94, 0x798631ff, 0xd7cd586a,
-    0x798438b5, 0xd7c76158,
-  0x79823f20, 0xd7c16a5f, 0x79804541, 0xd7bb737f, 0x797e4b16, 0xd7b57cb7,
-    0x797c50a1, 0xd7af8609,
-  0x797a55e0, 0xd7a98f73, 0x79785ad5, 0xd7a398f6, 0x79765f7f, 0xd79da293,
-    0x797463de, 0xd797ac48,
-  0x797267f2, 0xd791b616, 0x79706bbb, 0xd78bbffc, 0x796e6f39, 0xd785c9fc,
-    0x796c726c, 0xd77fd415,
-  0x796a7554, 0xd779de47, 0x796877f1, 0xd773e892, 0x79667a44, 0xd76df2f6,
-    0x79647c4c, 0xd767fd72,
-  0x79627e08, 0xd7620808, 0x79607f7a, 0xd75c12b7, 0x795e80a1, 0xd7561d7f,
-    0x795c817d, 0xd7502860,
-  0x795a820e, 0xd74a335b, 0x79588255, 0xd7443e6e, 0x79568250, 0xd73e499a,
-    0x79548201, 0xd73854e0,
-  0x79528167, 0xd732603f, 0x79508082, 0xd72c6bb6, 0x794e7f52, 0xd7267748,
-    0x794c7dd7, 0xd72082f2,
-  0x794a7c12, 0xd71a8eb5, 0x79487a01, 0xd7149a92, 0x794677a6, 0xd70ea688,
-    0x79447500, 0xd708b297,
-  0x79427210, 0xd702bec0, 0x79406ed4, 0xd6fccb01, 0x793e6b4e, 0xd6f6d75d,
-    0x793c677d, 0xd6f0e3d1,
-  0x793a6361, 0xd6eaf05f, 0x79385efa, 0xd6e4fd06, 0x79365a49, 0xd6df09c6,
-    0x7934554d, 0xd6d916a0,
-  0x79325006, 0xd6d32393, 0x79304a74, 0xd6cd30a0, 0x792e4497, 0xd6c73dc6,
-    0x792c3e70, 0xd6c14b05,
-  0x792a37fe, 0xd6bb585e, 0x79283141, 0xd6b565d0, 0x79262a3a, 0xd6af735c,
-    0x792422e8, 0xd6a98101,
-  0x79221b4b, 0xd6a38ec0, 0x79201363, 0xd69d9c98, 0x791e0b31, 0xd697aa8a,
-    0x791c02b4, 0xd691b895,
-  0x7919f9ec, 0xd68bc6ba, 0x7917f0d9, 0xd685d4f9, 0x7915e77c, 0xd67fe351,
-    0x7913ddd4, 0xd679f1c2,
-  0x7911d3e2, 0xd674004e, 0x790fc9a4, 0xd66e0ef2, 0x790dbf1d, 0xd6681db1,
-    0x790bb44a, 0xd6622c89,
-  0x7909a92d, 0xd65c3b7b, 0x79079dc5, 0xd6564a87, 0x79059212, 0xd65059ac,
-    0x79038615, 0xd64a68eb,
-  0x790179cd, 0xd6447844, 0x78ff6d3b, 0xd63e87b6, 0x78fd605d, 0xd6389742,
-    0x78fb5336, 0xd632a6e8,
-  0x78f945c3, 0xd62cb6a8, 0x78f73806, 0xd626c681, 0x78f529fe, 0xd620d675,
-    0x78f31bac, 0xd61ae682,
-  0x78f10d0f, 0xd614f6a9, 0x78eefe28, 0xd60f06ea, 0x78eceef6, 0xd6091745,
-    0x78eadf79, 0xd60327b9,
-  0x78e8cfb2, 0xd5fd3848, 0x78e6bfa0, 0xd5f748f0, 0x78e4af44, 0xd5f159b3,
-    0x78e29e9d, 0xd5eb6a8f,
-  0x78e08dab, 0xd5e57b85, 0x78de7c6f, 0xd5df8c96, 0x78dc6ae8, 0xd5d99dc0,
-    0x78da5917, 0xd5d3af04,
-  0x78d846fb, 0xd5cdc062, 0x78d63495, 0xd5c7d1db, 0x78d421e4, 0xd5c1e36d,
-    0x78d20ee9, 0xd5bbf519,
-  0x78cffba3, 0xd5b606e0, 0x78cde812, 0xd5b018c0, 0x78cbd437, 0xd5aa2abb,
-    0x78c9c012, 0xd5a43cd0,
-  0x78c7aba2, 0xd59e4eff, 0x78c596e7, 0xd5986148, 0x78c381e2, 0xd59273ab,
-    0x78c16c93, 0xd58c8628,
-  0x78bf56f9, 0xd58698c0, 0x78bd4114, 0xd580ab72, 0x78bb2ae5, 0xd57abe3d,
-    0x78b9146c, 0xd574d124,
-  0x78b6fda8, 0xd56ee424, 0x78b4e69a, 0xd568f73f, 0x78b2cf41, 0xd5630a74,
-    0x78b0b79e, 0xd55d1dc3,
-  0x78ae9fb0, 0xd557312d, 0x78ac8778, 0xd55144b0, 0x78aa6ef5, 0xd54b584f,
-    0x78a85628, 0xd5456c07,
-  0x78a63d11, 0xd53f7fda, 0x78a423af, 0xd53993c7, 0x78a20a03, 0xd533a7cf,
-    0x789ff00c, 0xd52dbbf1,
-  0x789dd5cb, 0xd527d02e, 0x789bbb3f, 0xd521e484, 0x7899a06a, 0xd51bf8f6,
-    0x78978549, 0xd5160d82,
-  0x789569df, 0xd5102228, 0x78934e2a, 0xd50a36e9, 0x7891322a, 0xd5044bc4,
-    0x788f15e0, 0xd4fe60ba,
-  0x788cf94c, 0xd4f875ca, 0x788adc6e, 0xd4f28af5, 0x7888bf45, 0xd4eca03a,
-    0x7886a1d1, 0xd4e6b59a,
-  0x78848414, 0xd4e0cb15, 0x7882660c, 0xd4dae0aa, 0x788047ba, 0xd4d4f65a,
-    0x787e291d, 0xd4cf0c24,
-  0x787c0a36, 0xd4c92209, 0x7879eb05, 0xd4c33809, 0x7877cb89, 0xd4bd4e23,
-    0x7875abc3, 0xd4b76458,
-  0x78738bb3, 0xd4b17aa8, 0x78716b59, 0xd4ab9112, 0x786f4ab4, 0xd4a5a798,
-    0x786d29c5, 0xd49fbe37,
-  0x786b088c, 0xd499d4f2, 0x7868e708, 0xd493ebc8, 0x7866c53a, 0xd48e02b8,
-    0x7864a322, 0xd48819c3,
-  0x786280bf, 0xd48230e9, 0x78605e13, 0xd47c4829, 0x785e3b1c, 0xd4765f85,
-    0x785c17db, 0xd47076fb,
-  0x7859f44f, 0xd46a8e8d, 0x7857d079, 0xd464a639, 0x7855ac5a, 0xd45ebe00,
-    0x785387ef, 0xd458d5e2,
-  0x7851633b, 0xd452eddf, 0x784f3e3c, 0xd44d05f6, 0x784d18f4, 0xd4471e29,
-    0x784af361, 0xd4413677,
-  0x7848cd83, 0xd43b4ee0, 0x7846a75c, 0xd4356763, 0x784480ea, 0xd42f8002,
-    0x78425a2f, 0xd42998bc,
-  0x78403329, 0xd423b191, 0x783e0bd9, 0xd41dca81, 0x783be43e, 0xd417e38c,
-    0x7839bc5a, 0xd411fcb2,
-  0x7837942b, 0xd40c15f3, 0x78356bb2, 0xd4062f4f, 0x783342ef, 0xd40048c6,
-    0x783119e2, 0xd3fa6259,
-  0x782ef08b, 0xd3f47c06, 0x782cc6ea, 0xd3ee95cf, 0x782a9cfe, 0xd3e8afb3,
-    0x782872c8, 0xd3e2c9b2,
-  0x78264849, 0xd3dce3cd, 0x78241d7f, 0xd3d6fe03, 0x7821f26b, 0xd3d11853,
-    0x781fc70d, 0xd3cb32c0,
-  0x781d9b65, 0xd3c54d47, 0x781b6f72, 0xd3bf67ea, 0x78194336, 0xd3b982a8,
-    0x781716b0, 0xd3b39d81,
-  0x7814e9df, 0xd3adb876, 0x7812bcc4, 0xd3a7d385, 0x78108f60, 0xd3a1eeb1,
-    0x780e61b1, 0xd39c09f7,
-  0x780c33b8, 0xd396255a, 0x780a0575, 0xd39040d7, 0x7807d6e9, 0xd38a5c70,
-    0x7805a812, 0xd3847824,
-  0x780378f1, 0xd37e93f4, 0x78014986, 0xd378afdf, 0x77ff19d1, 0xd372cbe6,
-    0x77fce9d2, 0xd36ce808,
-  0x77fab989, 0xd3670446, 0x77f888f6, 0xd361209f, 0x77f65819, 0xd35b3d13,
-    0x77f426f2, 0xd35559a4,
-  0x77f1f581, 0xd34f764f, 0x77efc3c5, 0xd3499317, 0x77ed91c0, 0xd343affa,
-    0x77eb5f71, 0xd33dccf8,
-  0x77e92cd9, 0xd337ea12, 0x77e6f9f6, 0xd3320748, 0x77e4c6c9, 0xd32c2499,
-    0x77e29352, 0xd3264206,
-  0x77e05f91, 0xd3205f8f, 0x77de2b86, 0xd31a7d33, 0x77dbf732, 0xd3149af3,
-    0x77d9c293, 0xd30eb8cf,
-  0x77d78daa, 0xd308d6c7, 0x77d55878, 0xd302f4da, 0x77d322fc, 0xd2fd1309,
-    0x77d0ed35, 0xd2f73154,
-  0x77ceb725, 0xd2f14fba, 0x77cc80cb, 0xd2eb6e3c, 0x77ca4a27, 0xd2e58cdb,
-    0x77c81339, 0xd2dfab95,
-  0x77c5dc01, 0xd2d9ca6a, 0x77c3a47f, 0xd2d3e95c, 0x77c16cb4, 0xd2ce0869,
-    0x77bf349f, 0xd2c82793,
-  0x77bcfc3f, 0xd2c246d8, 0x77bac396, 0xd2bc6639, 0x77b88aa3, 0xd2b685b6,
-    0x77b65166, 0xd2b0a54f,
-  0x77b417df, 0xd2aac504, 0x77b1de0f, 0xd2a4e4d5, 0x77afa3f5, 0xd29f04c2,
-    0x77ad6990, 0xd29924cb,
-  0x77ab2ee2, 0xd29344f0, 0x77a8f3ea, 0xd28d6531, 0x77a6b8a9, 0xd287858e,
-    0x77a47d1d, 0xd281a607,
-  0x77a24148, 0xd27bc69c, 0x77a00529, 0xd275e74d, 0x779dc8c0, 0xd270081b,
-    0x779b8c0e, 0xd26a2904,
-  0x77994f11, 0xd2644a0a, 0x779711cb, 0xd25e6b2b, 0x7794d43b, 0xd2588c69,
-    0x77929661, 0xd252adc3,
-  0x7790583e, 0xd24ccf39, 0x778e19d0, 0xd246f0cb, 0x778bdb19, 0xd241127a,
-    0x77899c19, 0xd23b3444,
-  0x77875cce, 0xd235562b, 0x77851d3a, 0xd22f782f, 0x7782dd5c, 0xd2299a4e,
-    0x77809d35, 0xd223bc8a,
-  0x777e5cc3, 0xd21ddee2, 0x777c1c08, 0xd2180156, 0x7779db03, 0xd21223e7,
-    0x777799b5, 0xd20c4694,
-  0x7775581d, 0xd206695d, 0x7773163b, 0xd2008c43, 0x7770d40f, 0xd1faaf45,
-    0x776e919a, 0xd1f4d263,
-  0x776c4edb, 0xd1eef59e, 0x776a0bd3, 0xd1e918f5, 0x7767c880, 0xd1e33c69,
-    0x776584e5, 0xd1dd5ff9,
-  0x776340ff, 0xd1d783a6, 0x7760fcd0, 0xd1d1a76f, 0x775eb857, 0xd1cbcb54,
-    0x775c7395, 0xd1c5ef56,
-  0x775a2e89, 0xd1c01375, 0x7757e933, 0xd1ba37b0, 0x7755a394, 0xd1b45c08,
-    0x77535dab, 0xd1ae807c,
-  0x77511778, 0xd1a8a50d, 0x774ed0fc, 0xd1a2c9ba, 0x774c8a36, 0xd19cee84,
-    0x774a4327, 0xd197136b,
-  0x7747fbce, 0xd191386e, 0x7745b42c, 0xd18b5d8e, 0x77436c40, 0xd18582ca,
-    0x7741240a, 0xd17fa823,
-  0x773edb8b, 0xd179cd99, 0x773c92c2, 0xd173f32c, 0x773a49b0, 0xd16e18db,
-    0x77380054, 0xd1683ea7,
-  0x7735b6af, 0xd1626490, 0x77336cc0, 0xd15c8a95, 0x77312287, 0xd156b0b7,
-    0x772ed805, 0xd150d6f6,
-  0x772c8d3a, 0xd14afd52, 0x772a4225, 0xd14523cb, 0x7727f6c6, 0xd13f4a60,
-    0x7725ab1f, 0xd1397113,
-  0x77235f2d, 0xd13397e2, 0x772112f2, 0xd12dbece, 0x771ec66e, 0xd127e5d7,
-    0x771c79a0, 0xd1220cfc,
-  0x771a2c88, 0xd11c343f, 0x7717df27, 0xd1165b9f, 0x7715917d, 0xd110831b,
-    0x77134389, 0xd10aaab5,
-  0x7710f54c, 0xd104d26b, 0x770ea6c5, 0xd0fefa3f, 0x770c57f5, 0xd0f9222f,
-    0x770a08dc, 0xd0f34a3d,
-  0x7707b979, 0xd0ed7267, 0x770569cc, 0xd0e79aaf, 0x770319d6, 0xd0e1c313,
-    0x7700c997, 0xd0dbeb95,
-  0x76fe790e, 0xd0d61434, 0x76fc283c, 0xd0d03cf0, 0x76f9d721, 0xd0ca65c9,
-    0x76f785bc, 0xd0c48ebf,
-  0x76f5340e, 0xd0beb7d2, 0x76f2e216, 0xd0b8e102, 0x76f08fd5, 0xd0b30a50,
-    0x76ee3d4b, 0xd0ad33ba,
-  0x76ebea77, 0xd0a75d42, 0x76e9975a, 0xd0a186e7, 0x76e743f4, 0xd09bb0aa,
-    0x76e4f044, 0xd095da89,
-  0x76e29c4b, 0xd0900486, 0x76e04808, 0xd08a2ea0, 0x76ddf37c, 0xd08458d7,
-    0x76db9ea7, 0xd07e832c,
-  0x76d94989, 0xd078ad9e, 0x76d6f421, 0xd072d82d, 0x76d49e70, 0xd06d02da,
-    0x76d24876, 0xd0672da3,
-  0x76cff232, 0xd061588b, 0x76cd9ba5, 0xd05b838f, 0x76cb44cf, 0xd055aeb1,
-    0x76c8edb0, 0xd04fd9f1,
-  0x76c69647, 0xd04a054e, 0x76c43e95, 0xd04430c8, 0x76c1e699, 0xd03e5c60,
-    0x76bf8e55, 0xd0388815,
-  0x76bd35c7, 0xd032b3e7, 0x76badcf0, 0xd02cdfd8, 0x76b883d0, 0xd0270be5,
-    0x76b62a66, 0xd0213810,
-  0x76b3d0b4, 0xd01b6459, 0x76b176b8, 0xd01590bf, 0x76af1c72, 0xd00fbd43,
-    0x76acc1e4, 0xd009e9e4,
-  0x76aa670d, 0xd00416a3, 0x76a80bec, 0xcffe4380, 0x76a5b082, 0xcff8707a,
-    0x76a354cf, 0xcff29d92,
-  0x76a0f8d2, 0xcfeccac7, 0x769e9c8d, 0xcfe6f81a, 0x769c3ffe, 0xcfe1258b,
-    0x7699e326, 0xcfdb531a,
-  0x76978605, 0xcfd580c6, 0x7695289b, 0xcfcfae8f, 0x7692cae8, 0xcfc9dc77,
-    0x76906ceb, 0xcfc40a7c,
-  0x768e0ea6, 0xcfbe389f, 0x768bb017, 0xcfb866e0, 0x7689513f, 0xcfb2953f,
-    0x7686f21e, 0xcfacc3bb,
-  0x768492b4, 0xcfa6f255, 0x76823301, 0xcfa1210d, 0x767fd304, 0xcf9b4fe3,
-    0x767d72bf, 0xcf957ed7,
-  0x767b1231, 0xcf8fade9, 0x7678b159, 0xcf89dd18, 0x76765038, 0xcf840c65,
-    0x7673eecf, 0xcf7e3bd1,
-  0x76718d1c, 0xcf786b5a, 0x766f2b20, 0xcf729b01, 0x766cc8db, 0xcf6ccac6,
-    0x766a664d, 0xcf66faa9,
-  0x76680376, 0xcf612aaa, 0x7665a056, 0xcf5b5ac9, 0x76633ced, 0xcf558b06,
-    0x7660d93b, 0xcf4fbb61,
-  0x765e7540, 0xcf49ebda, 0x765c10fc, 0xcf441c71, 0x7659ac6f, 0xcf3e4d26,
-    0x76574798, 0xcf387dfa,
-  0x7654e279, 0xcf32aeeb, 0x76527d11, 0xcf2cdffa, 0x76501760, 0xcf271128,
-    0x764db166, 0xcf214274,
-  0x764b4b23, 0xcf1b73de, 0x7648e497, 0xcf15a566, 0x76467dc2, 0xcf0fd70c,
-    0x764416a4, 0xcf0a08d0,
-  0x7641af3d, 0xcf043ab3, 0x763f478d, 0xcefe6cb3, 0x763cdf94, 0xcef89ed2,
-    0x763a7752, 0xcef2d110,
-  0x76380ec8, 0xceed036b, 0x7635a5f4, 0xcee735e5, 0x76333cd8, 0xcee1687d,
-    0x7630d372, 0xcedb9b33,
-  0x762e69c4, 0xced5ce08, 0x762bffcd, 0xced000fb, 0x7629958c, 0xceca340c,
-    0x76272b03, 0xcec4673c,
-  0x7624c031, 0xcebe9a8a, 0x76225517, 0xceb8cdf7, 0x761fe9b3, 0xceb30181,
-    0x761d7e06, 0xcead352b,
-  0x761b1211, 0xcea768f2, 0x7618a5d3, 0xcea19cd8, 0x7616394c, 0xce9bd0dd,
-    0x7613cc7c, 0xce960500,
-  0x76115f63, 0xce903942, 0x760ef201, 0xce8a6da2, 0x760c8457, 0xce84a220,
-    0x760a1664, 0xce7ed6bd,
-  0x7607a828, 0xce790b79, 0x760539a3, 0xce734053, 0x7602cad5, 0xce6d754c,
-    0x76005bbf, 0xce67aa63,
-  0x75fdec60, 0xce61df99, 0x75fb7cb8, 0xce5c14ed, 0x75f90cc7, 0xce564a60,
-    0x75f69c8d, 0xce507ff2,
-  0x75f42c0b, 0xce4ab5a2, 0x75f1bb40, 0xce44eb71, 0x75ef4a2c, 0xce3f215f,
-    0x75ecd8cf, 0xce39576c,
-  0x75ea672a, 0xce338d97, 0x75e7f53c, 0xce2dc3e1, 0x75e58305, 0xce27fa49,
-    0x75e31086, 0xce2230d0,
-  0x75e09dbd, 0xce1c6777, 0x75de2aac, 0xce169e3b, 0x75dbb753, 0xce10d51f,
-    0x75d943b0, 0xce0b0c21,
-  0x75d6cfc5, 0xce054343, 0x75d45b92, 0xcdff7a83, 0x75d1e715, 0xcdf9b1e2,
-    0x75cf7250, 0xcdf3e95f,
-  0x75ccfd42, 0xcdee20fc, 0x75ca87ec, 0xcde858b8, 0x75c8124d, 0xcde29092,
-    0x75c59c65, 0xcddcc88b,
-  0x75c32634, 0xcdd700a4, 0x75c0afbb, 0xcdd138db, 0x75be38fa, 0xcdcb7131,
-    0x75bbc1ef, 0xcdc5a9a6,
-  0x75b94a9c, 0xcdbfe23a, 0x75b6d301, 0xcdba1aee, 0x75b45b1d, 0xcdb453c0,
-    0x75b1e2f0, 0xcdae8cb1,
-  0x75af6a7b, 0xcda8c5c1, 0x75acf1bd, 0xcda2fef0, 0x75aa78b6, 0xcd9d383f,
-    0x75a7ff67, 0xcd9771ac,
-  0x75a585cf, 0xcd91ab39, 0x75a30bef, 0xcd8be4e4, 0x75a091c6, 0xcd861eaf,
-    0x759e1755, 0xcd805899,
-  0x759b9c9b, 0xcd7a92a2, 0x75992198, 0xcd74ccca, 0x7596a64d, 0xcd6f0711,
-    0x75942ab9, 0xcd694178,
-  0x7591aedd, 0xcd637bfe, 0x758f32b9, 0xcd5db6a3, 0x758cb64c, 0xcd57f167,
-    0x758a3996, 0xcd522c4a,
-  0x7587bc98, 0xcd4c674d, 0x75853f51, 0xcd46a26f, 0x7582c1c2, 0xcd40ddb0,
-    0x758043ea, 0xcd3b1911,
-  0x757dc5ca, 0xcd355491, 0x757b4762, 0xcd2f9030, 0x7578c8b0, 0xcd29cbee,
-    0x757649b7, 0xcd2407cc,
-  0x7573ca75, 0xcd1e43ca, 0x75714aea, 0xcd187fe6, 0x756ecb18, 0xcd12bc22,
-    0x756c4afc, 0xcd0cf87e,
-  0x7569ca99, 0xcd0734f9, 0x756749ec, 0xcd017193, 0x7564c8f8, 0xccfbae4d,
-    0x756247bb, 0xccf5eb26,
-  0x755fc635, 0xccf0281f, 0x755d4467, 0xccea6538, 0x755ac251, 0xcce4a26f,
-    0x75583ff3, 0xccdedfc7,
-  0x7555bd4c, 0xccd91d3d, 0x75533a5c, 0xccd35ad4, 0x7550b725, 0xcccd988a,
-    0x754e33a4, 0xccc7d65f,
-  0x754bafdc, 0xccc21455, 0x75492bcb, 0xccbc5269, 0x7546a772, 0xccb6909e,
-    0x754422d0, 0xccb0cef2,
-  0x75419de7, 0xccab0d65, 0x753f18b4, 0xcca54bf9, 0x753c933a, 0xcc9f8aac,
-    0x753a0d77, 0xcc99c97e,
-  0x7537876c, 0xcc940871, 0x75350118, 0xcc8e4783, 0x75327a7d, 0xcc8886b5,
-    0x752ff399, 0xcc82c607,
-  0x752d6c6c, 0xcc7d0578, 0x752ae4f8, 0xcc774509, 0x75285d3b, 0xcc7184ba,
-    0x7525d536, 0xcc6bc48b,
-  0x75234ce8, 0xcc66047b, 0x7520c453, 0xcc60448c, 0x751e3b75, 0xcc5a84bc,
-    0x751bb24f, 0xcc54c50c,
-  0x751928e0, 0xcc4f057c, 0x75169f2a, 0xcc49460c, 0x7514152b, 0xcc4386bc,
-    0x75118ae4, 0xcc3dc78b,
-  0x750f0054, 0xcc38087b, 0x750c757d, 0xcc32498a, 0x7509ea5d, 0xcc2c8aba,
-    0x75075ef5, 0xcc26cc09,
-  0x7504d345, 0xcc210d79, 0x7502474d, 0xcc1b4f08, 0x74ffbb0d, 0xcc1590b8,
-    0x74fd2e84, 0xcc0fd287,
-  0x74faa1b3, 0xcc0a1477, 0x74f8149a, 0xcc045686, 0x74f58739, 0xcbfe98b6,
-    0x74f2f990, 0xcbf8db05,
-  0x74f06b9e, 0xcbf31d75, 0x74eddd65, 0xcbed6005, 0x74eb4ee3, 0xcbe7a2b5,
-    0x74e8c01a, 0xcbe1e585,
-  0x74e63108, 0xcbdc2876, 0x74e3a1ae, 0xcbd66b86, 0x74e1120c, 0xcbd0aeb7,
-    0x74de8221, 0xcbcaf208,
-  0x74dbf1ef, 0xcbc53579, 0x74d96175, 0xcbbf790a, 0x74d6d0b2, 0xcbb9bcbb,
-    0x74d43fa8, 0xcbb4008d,
-  0x74d1ae55, 0xcbae447f, 0x74cf1cbb, 0xcba88891, 0x74cc8ad8, 0xcba2ccc4,
-    0x74c9f8ad, 0xcb9d1117,
-  0x74c7663a, 0xcb97558a, 0x74c4d380, 0xcb919a1d, 0x74c2407d, 0xcb8bded1,
-    0x74bfad32, 0xcb8623a5,
-  0x74bd199f, 0xcb80689a, 0x74ba85c4, 0xcb7aadaf, 0x74b7f1a1, 0xcb74f2e4,
-    0x74b55d36, 0xcb6f383a,
-  0x74b2c884, 0xcb697db0, 0x74b03389, 0xcb63c347, 0x74ad9e46, 0xcb5e08fe,
-    0x74ab08bb, 0xcb584ed6,
-  0x74a872e8, 0xcb5294ce, 0x74a5dccd, 0xcb4cdae6, 0x74a3466b, 0xcb47211f,
-    0x74a0afc0, 0xcb416779,
-  0x749e18cd, 0xcb3badf3, 0x749b8193, 0xcb35f48d, 0x7498ea11, 0xcb303b49,
-    0x74965246, 0xcb2a8224,
-  0x7493ba34, 0xcb24c921, 0x749121da, 0xcb1f103e, 0x748e8938, 0xcb19577b,
-    0x748bf04d, 0xcb139ed9,
-  0x7489571c, 0xcb0de658, 0x7486bda2, 0xcb082df8, 0x748423e0, 0xcb0275b8,
-    0x748189d7, 0xcafcbd99,
-  0x747eef85, 0xcaf7059a, 0x747c54ec, 0xcaf14dbd, 0x7479ba0b, 0xcaeb9600,
-    0x74771ee2, 0xcae5de64,
-  0x74748371, 0xcae026e8, 0x7471e7b8, 0xcada6f8d, 0x746f4bb8, 0xcad4b853,
-    0x746caf70, 0xcacf013a,
-  0x746a12df, 0xcac94a42, 0x74677608, 0xcac3936b, 0x7464d8e8, 0xcabddcb4,
-    0x74623b80, 0xcab8261e,
-  0x745f9dd1, 0xcab26fa9, 0x745cffda, 0xcaacb955, 0x745a619b, 0xcaa70322,
-    0x7457c314, 0xcaa14d10,
-  0x74552446, 0xca9b971e, 0x74528530, 0xca95e14e, 0x744fe5d2, 0xca902b9f,
-    0x744d462c, 0xca8a7610,
-  0x744aa63f, 0xca84c0a3, 0x7448060a, 0xca7f0b56, 0x7445658d, 0xca79562b,
-    0x7442c4c8, 0xca73a120,
-  0x744023bc, 0xca6dec37, 0x743d8268, 0xca68376e, 0x743ae0cc, 0xca6282c7,
-    0x74383ee9, 0xca5cce40,
-  0x74359cbd, 0xca5719db, 0x7432fa4b, 0xca516597, 0x74305790, 0xca4bb174,
-    0x742db48e, 0xca45fd72,
-  0x742b1144, 0xca404992, 0x74286db3, 0xca3a95d2, 0x7425c9da, 0xca34e234,
-    0x742325b9, 0xca2f2eb6,
-  0x74208150, 0xca297b5a, 0x741ddca0, 0xca23c820, 0x741b37a9, 0xca1e1506,
-    0x74189269, 0xca18620e,
-  0x7415ece2, 0xca12af37, 0x74134714, 0xca0cfc81, 0x7410a0fe, 0xca0749ec,
-    0x740dfaa0, 0xca019779,
-  0x740b53fb, 0xc9fbe527, 0x7408ad0e, 0xc9f632f6, 0x740605d9, 0xc9f080e7,
-    0x74035e5d, 0xc9eacef9,
-  0x7400b69a, 0xc9e51d2d, 0x73fe0e8f, 0xc9df6b81, 0x73fb663c, 0xc9d9b9f7,
-    0x73f8bda2, 0xc9d4088f,
-  0x73f614c0, 0xc9ce5748, 0x73f36b97, 0xc9c8a622, 0x73f0c226, 0xc9c2f51e,
-    0x73ee186e, 0xc9bd443c,
-  0x73eb6e6e, 0xc9b7937a, 0x73e8c426, 0xc9b1e2db, 0x73e61997, 0xc9ac325d,
-    0x73e36ec1, 0xc9a68200,
-  0x73e0c3a3, 0xc9a0d1c5, 0x73de183e, 0xc99b21ab, 0x73db6c91, 0xc99571b3,
-    0x73d8c09d, 0xc98fc1dc,
-  0x73d61461, 0xc98a1227, 0x73d367de, 0xc9846294, 0x73d0bb13, 0xc97eb322,
-    0x73ce0e01, 0xc97903d2,
-  0x73cb60a8, 0xc97354a4, 0x73c8b307, 0xc96da597, 0x73c6051f, 0xc967f6ac,
-    0x73c356ef, 0xc96247e2,
-  0x73c0a878, 0xc95c993a, 0x73bdf9b9, 0xc956eab4, 0x73bb4ab3, 0xc9513c50,
-    0x73b89b66, 0xc94b8e0d,
-  0x73b5ebd1, 0xc945dfec, 0x73b33bf5, 0xc94031ed, 0x73b08bd1, 0xc93a8410,
-    0x73addb67, 0xc934d654,
-  0x73ab2ab4, 0xc92f28ba, 0x73a879bb, 0xc9297b42, 0x73a5c87a, 0xc923cdec,
-    0x73a316f2, 0xc91e20b8,
-  0x73a06522, 0xc91873a5, 0x739db30b, 0xc912c6b5, 0x739b00ad, 0xc90d19e6,
-    0x73984e07, 0xc9076d39,
-  0x73959b1b, 0xc901c0ae, 0x7392e7e6, 0xc8fc1445, 0x7390346b, 0xc8f667fe,
-    0x738d80a8, 0xc8f0bbd9,
-  0x738acc9e, 0xc8eb0fd6, 0x7388184d, 0xc8e563f5, 0x738563b5, 0xc8dfb836,
-    0x7382aed5, 0xc8da0c99,
-  0x737ff9ae, 0xc8d4611d, 0x737d4440, 0xc8ceb5c4, 0x737a8e8a, 0xc8c90a8d,
-    0x7377d88d, 0xc8c35f78,
-  0x73752249, 0xc8bdb485, 0x73726bbe, 0xc8b809b4, 0x736fb4ec, 0xc8b25f06,
-    0x736cfdd2, 0xc8acb479,
-  0x736a4671, 0xc8a70a0e, 0x73678ec9, 0xc8a15fc6, 0x7364d6da, 0xc89bb5a0,
-    0x73621ea4, 0xc8960b9c,
-  0x735f6626, 0xc89061ba, 0x735cad61, 0xc88ab7fa, 0x7359f456, 0xc8850e5d,
-    0x73573b03, 0xc87f64e2,
-  0x73548168, 0xc879bb89, 0x7351c787, 0xc8741252, 0x734f0d5f, 0xc86e693d,
-    0x734c52ef, 0xc868c04b,
-  0x73499838, 0xc863177b, 0x7346dd3a, 0xc85d6ece, 0x734421f6, 0xc857c642,
-    0x7341666a, 0xc8521dd9,
-  0x733eaa96, 0xc84c7593, 0x733bee7c, 0xc846cd6e, 0x7339321b, 0xc841256d,
-    0x73367572, 0xc83b7d8d,
-  0x7333b883, 0xc835d5d0, 0x7330fb4d, 0xc8302e35, 0x732e3dcf, 0xc82a86bd,
-    0x732b800a, 0xc824df67,
-  0x7328c1ff, 0xc81f3834, 0x732603ac, 0xc8199123, 0x73234512, 0xc813ea35,
-    0x73208632, 0xc80e4369,
-  0x731dc70a, 0xc8089cbf, 0x731b079b, 0xc802f638, 0x731847e5, 0xc7fd4fd4,
-    0x731587e8, 0xc7f7a992,
-  0x7312c7a5, 0xc7f20373, 0x7310071a, 0xc7ec5d76, 0x730d4648, 0xc7e6b79c,
-    0x730a8530, 0xc7e111e5,
-  0x7307c3d0, 0xc7db6c50, 0x73050229, 0xc7d5c6de, 0x7302403c, 0xc7d0218e,
-    0x72ff7e07, 0xc7ca7c61,
-  0x72fcbb8c, 0xc7c4d757, 0x72f9f8c9, 0xc7bf3270, 0x72f735c0, 0xc7b98dab,
-    0x72f47270, 0xc7b3e909,
-  0x72f1aed9, 0xc7ae4489, 0x72eeeafb, 0xc7a8a02c, 0x72ec26d6, 0xc7a2fbf3,
-    0x72e9626a, 0xc79d57db,
-  0x72e69db7, 0xc797b3e7, 0x72e3d8be, 0xc7921015, 0x72e1137d, 0xc78c6c67,
-    0x72de4df6, 0xc786c8db,
-  0x72db8828, 0xc7812572, 0x72d8c213, 0xc77b822b, 0x72d5fbb7, 0xc775df08,
-    0x72d33514, 0xc7703c08,
-  0x72d06e2b, 0xc76a992a, 0x72cda6fb, 0xc764f66f, 0x72cadf83, 0xc75f53d7,
-    0x72c817c6, 0xc759b163,
-  0x72c54fc1, 0xc7540f11, 0x72c28775, 0xc74e6ce2, 0x72bfbee3, 0xc748cad6,
-    0x72bcf60a, 0xc74328ed,
-  0x72ba2cea, 0xc73d8727, 0x72b76383, 0xc737e584, 0x72b499d6, 0xc7324404,
-    0x72b1cfe1, 0xc72ca2a7,
-  0x72af05a7, 0xc727016d, 0x72ac3b25, 0xc7216056, 0x72a9705c, 0xc71bbf62,
-    0x72a6a54d, 0xc7161e92,
-  0x72a3d9f7, 0xc7107de4, 0x72a10e5b, 0xc70add5a, 0x729e4277, 0xc7053cf2,
-    0x729b764d, 0xc6ff9cae,
-  0x7298a9dd, 0xc6f9fc8d, 0x7295dd25, 0xc6f45c8f, 0x72931027, 0xc6eebcb5,
-    0x729042e3, 0xc6e91cfd,
-  0x728d7557, 0xc6e37d69, 0x728aa785, 0xc6ddddf8, 0x7287d96c, 0xc6d83eab,
-    0x72850b0d, 0xc6d29f80,
-  0x72823c67, 0xc6cd0079, 0x727f6d7a, 0xc6c76195, 0x727c9e47, 0xc6c1c2d4,
-    0x7279cecd, 0xc6bc2437,
-  0x7276ff0d, 0xc6b685bd, 0x72742f05, 0xc6b0e767, 0x72715eb8, 0xc6ab4933,
-    0x726e8e23, 0xc6a5ab23,
-  0x726bbd48, 0xc6a00d37, 0x7268ec27, 0xc69a6f6e, 0x72661abf, 0xc694d1c8,
-    0x72634910, 0xc68f3446,
-  0x7260771b, 0xc68996e7, 0x725da4df, 0xc683f9ab, 0x725ad25d, 0xc67e5c93,
-    0x7257ff94, 0xc678bf9f,
-  0x72552c85, 0xc67322ce, 0x7252592f, 0xc66d8620, 0x724f8593, 0xc667e996,
-    0x724cb1b0, 0xc6624d30,
-  0x7249dd86, 0xc65cb0ed, 0x72470916, 0xc65714cd, 0x72443460, 0xc65178d1,
-    0x72415f63, 0xc64bdcf9,
-  0x723e8a20, 0xc6464144, 0x723bb496, 0xc640a5b3, 0x7238dec5, 0xc63b0a46,
-    0x723608af, 0xc6356efc,
-  0x72333251, 0xc62fd3d6, 0x72305bae, 0xc62a38d4, 0x722d84c4, 0xc6249df5,
-    0x722aad93, 0xc61f033a,
-  0x7227d61c, 0xc61968a2, 0x7224fe5f, 0xc613ce2f, 0x7222265b, 0xc60e33df,
-    0x721f4e11, 0xc60899b2,
-  0x721c7580, 0xc602ffaa, 0x72199ca9, 0xc5fd65c5, 0x7216c38c, 0xc5f7cc04,
-    0x7213ea28, 0xc5f23267,
-  0x7211107e, 0xc5ec98ee, 0x720e368d, 0xc5e6ff98, 0x720b5c57, 0xc5e16667,
-    0x720881d9, 0xc5dbcd59,
-  0x7205a716, 0xc5d6346f, 0x7202cc0c, 0xc5d09ba9, 0x71fff0bc, 0xc5cb0307,
-    0x71fd1525, 0xc5c56a89,
-  0x71fa3949, 0xc5bfd22e, 0x71f75d25, 0xc5ba39f8, 0x71f480bc, 0xc5b4a1e5,
-    0x71f1a40c, 0xc5af09f7,
-  0x71eec716, 0xc5a9722c, 0x71ebe9da, 0xc5a3da86, 0x71e90c57, 0xc59e4303,
-    0x71e62e8f, 0xc598aba5,
-  0x71e35080, 0xc593146a, 0x71e0722a, 0xc58d7d54, 0x71dd938f, 0xc587e661,
-    0x71dab4ad, 0xc5824f93,
-  0x71d7d585, 0xc57cb8e9, 0x71d4f617, 0xc5772263, 0x71d21662, 0xc5718c00,
-    0x71cf3667, 0xc56bf5c2,
-  0x71cc5626, 0xc5665fa9, 0x71c9759f, 0xc560c9b3, 0x71c694d2, 0xc55b33e2,
-    0x71c3b3bf, 0xc5559e34,
-  0x71c0d265, 0xc55008ab, 0x71bdf0c5, 0xc54a7346, 0x71bb0edf, 0xc544de05,
-    0x71b82cb3, 0xc53f48e9,
-  0x71b54a41, 0xc539b3f1, 0x71b26788, 0xc5341f1d, 0x71af848a, 0xc52e8a6d,
-    0x71aca145, 0xc528f5e1,
-  0x71a9bdba, 0xc523617a, 0x71a6d9e9, 0xc51dcd37, 0x71a3f5d2, 0xc5183919,
-    0x71a11175, 0xc512a51f,
-  0x719e2cd2, 0xc50d1149, 0x719b47e9, 0xc5077d97, 0x719862b9, 0xc501ea0a,
-    0x71957d44, 0xc4fc56a2,
-  0x71929789, 0xc4f6c35d, 0x718fb187, 0xc4f1303d, 0x718ccb3f, 0xc4eb9d42,
-    0x7189e4b2, 0xc4e60a6b,
-  0x7186fdde, 0xc4e077b8, 0x718416c4, 0xc4dae52a, 0x71812f65, 0xc4d552c1,
-    0x717e47bf, 0xc4cfc07c,
-  0x717b5fd3, 0xc4ca2e5b, 0x717877a1, 0xc4c49c5f, 0x71758f29, 0xc4bf0a87,
-    0x7172a66c, 0xc4b978d4,
-  0x716fbd68, 0xc4b3e746, 0x716cd41e, 0xc4ae55dc, 0x7169ea8f, 0xc4a8c497,
-    0x716700b9, 0xc4a33376,
-  0x7164169d, 0xc49da27a, 0x71612c3c, 0xc49811a3, 0x715e4194, 0xc49280f0,
-    0x715b56a7, 0xc48cf062,
-  0x71586b74, 0xc4875ff9, 0x71557ffa, 0xc481cfb4, 0x7152943b, 0xc47c3f94,
-    0x714fa836, 0xc476af98,
-  0x714cbbeb, 0xc4711fc2, 0x7149cf5a, 0xc46b9010, 0x7146e284, 0xc4660083,
-    0x7143f567, 0xc460711b,
-  0x71410805, 0xc45ae1d7, 0x713e1a5c, 0xc45552b8, 0x713b2c6e, 0xc44fc3be,
-    0x71383e3a, 0xc44a34e9,
-  0x71354fc0, 0xc444a639, 0x71326101, 0xc43f17ad, 0x712f71fb, 0xc4398947,
-    0x712c82b0, 0xc433fb05,
-  0x7129931f, 0xc42e6ce8, 0x7126a348, 0xc428def0, 0x7123b32b, 0xc423511d,
-    0x7120c2c8, 0xc41dc36f,
-  0x711dd220, 0xc41835e6, 0x711ae132, 0xc412a882, 0x7117effe, 0xc40d1b42,
-    0x7114fe84, 0xc4078e28,
-  0x71120cc5, 0xc4020133, 0x710f1ac0, 0xc3fc7462, 0x710c2875, 0xc3f6e7b7,
-    0x710935e4, 0xc3f15b31,
-  0x7106430e, 0xc3ebced0, 0x71034ff2, 0xc3e64294, 0x71005c90, 0xc3e0b67d,
-    0x70fd68e9, 0xc3db2a8b,
-  0x70fa74fc, 0xc3d59ebe, 0x70f780c9, 0xc3d01316, 0x70f48c50, 0xc3ca8793,
-    0x70f19792, 0xc3c4fc36,
-  0x70eea28e, 0xc3bf70fd, 0x70ebad45, 0xc3b9e5ea, 0x70e8b7b5, 0xc3b45afc,
-    0x70e5c1e1, 0xc3aed034,
-  0x70e2cbc6, 0xc3a94590, 0x70dfd566, 0xc3a3bb12, 0x70dcdec0, 0xc39e30b8,
-    0x70d9e7d5, 0xc398a685,
-  0x70d6f0a4, 0xc3931c76, 0x70d3f92d, 0xc38d928d, 0x70d10171, 0xc38808c9,
-    0x70ce096f, 0xc3827f2a,
-  0x70cb1128, 0xc37cf5b0, 0x70c8189b, 0xc3776c5c, 0x70c51fc8, 0xc371e32d,
-    0x70c226b0, 0xc36c5a24,
-  0x70bf2d53, 0xc366d140, 0x70bc33b0, 0xc3614881, 0x70b939c7, 0xc35bbfe8,
-    0x70b63f99, 0xc3563774,
-  0x70b34525, 0xc350af26, 0x70b04a6b, 0xc34b26fc, 0x70ad4f6d, 0xc3459ef9,
-    0x70aa5428, 0xc340171b,
-  0x70a7589f, 0xc33a8f62, 0x70a45ccf, 0xc33507cf, 0x70a160ba, 0xc32f8061,
-    0x709e6460, 0xc329f919,
-  0x709b67c0, 0xc32471f7, 0x70986adb, 0xc31eeaf9, 0x70956db1, 0xc3196422,
-    0x70927041, 0xc313dd70,
-  0x708f728b, 0xc30e56e4, 0x708c7490, 0xc308d07d, 0x70897650, 0xc3034a3c,
-    0x708677ca, 0xc2fdc420,
-  0x708378ff, 0xc2f83e2a, 0x708079ee, 0xc2f2b85a, 0x707d7a98, 0xc2ed32af,
-    0x707a7afd, 0xc2e7ad2a,
-  0x70777b1c, 0xc2e227cb, 0x70747af6, 0xc2dca291, 0x70717a8a, 0xc2d71d7e,
-    0x706e79d9, 0xc2d1988f,
-  0x706b78e3, 0xc2cc13c7, 0x706877a7, 0xc2c68f24, 0x70657626, 0xc2c10aa7,
-    0x70627460, 0xc2bb8650,
-  0x705f7255, 0xc2b6021f, 0x705c7004, 0xc2b07e14, 0x70596d6d, 0xc2aafa2e,
-    0x70566a92, 0xc2a5766e,
-  0x70536771, 0xc29ff2d4, 0x7050640b, 0xc29a6f60, 0x704d6060, 0xc294ec12,
-    0x704a5c6f, 0xc28f68e9,
-  0x70475839, 0xc289e5e7, 0x704453be, 0xc284630a, 0x70414efd, 0xc27ee054,
-    0x703e49f8, 0xc2795dc3,
-  0x703b44ad, 0xc273db58, 0x70383f1d, 0xc26e5913, 0x70353947, 0xc268d6f5,
-    0x7032332d, 0xc26354fc,
-  0x702f2ccd, 0xc25dd329, 0x702c2628, 0xc258517c, 0x70291f3e, 0xc252cff5,
-    0x7026180e, 0xc24d4e95,
-  0x7023109a, 0xc247cd5a, 0x702008e0, 0xc2424c46, 0x701d00e1, 0xc23ccb57,
-    0x7019f89d, 0xc2374a8f,
-  0x7016f014, 0xc231c9ec, 0x7013e746, 0xc22c4970, 0x7010de32, 0xc226c91a,
-    0x700dd4da, 0xc22148ea,
-  0x700acb3c, 0xc21bc8e1, 0x7007c159, 0xc21648fd, 0x7004b731, 0xc210c940,
-    0x7001acc4, 0xc20b49a9,
-  0x6ffea212, 0xc205ca38, 0x6ffb971b, 0xc2004aed, 0x6ff88bde, 0xc1facbc9,
-    0x6ff5805d, 0xc1f54cca,
-  0x6ff27497, 0xc1efcdf3, 0x6fef688b, 0xc1ea4f41, 0x6fec5c3b, 0xc1e4d0b6,
-    0x6fe94fa5, 0xc1df5251,
-  0x6fe642ca, 0xc1d9d412, 0x6fe335ab, 0xc1d455f9, 0x6fe02846, 0xc1ced807,
-    0x6fdd1a9c, 0xc1c95a3c,
-  0x6fda0cae, 0xc1c3dc97, 0x6fd6fe7a, 0xc1be5f18, 0x6fd3f001, 0xc1b8e1bf,
-    0x6fd0e144, 0xc1b3648d,
-  0x6fcdd241, 0xc1ade781, 0x6fcac2fa, 0xc1a86a9c, 0x6fc7b36d, 0xc1a2edde,
-    0x6fc4a39c, 0xc19d7145,
-  0x6fc19385, 0xc197f4d4, 0x6fbe832a, 0xc1927888, 0x6fbb728a, 0xc18cfc63,
-    0x6fb861a4, 0xc1878065,
-  0x6fb5507a, 0xc182048d, 0x6fb23f0b, 0xc17c88dc, 0x6faf2d57, 0xc1770d52,
-    0x6fac1b5f, 0xc17191ee,
-  0x6fa90921, 0xc16c16b0, 0x6fa5f69e, 0xc1669b99, 0x6fa2e3d7, 0xc16120a9,
-    0x6f9fd0cb, 0xc15ba5df,
-  0x6f9cbd79, 0xc1562b3d, 0x6f99a9e3, 0xc150b0c0, 0x6f969608, 0xc14b366b,
-    0x6f9381e9, 0xc145bc3c,
-  0x6f906d84, 0xc1404233, 0x6f8d58db, 0xc13ac852, 0x6f8a43ed, 0xc1354e97,
-    0x6f872eba, 0xc12fd503,
-  0x6f841942, 0xc12a5b95, 0x6f810386, 0xc124e24f, 0x6f7ded84, 0xc11f692f,
-    0x6f7ad73e, 0xc119f036,
-  0x6f77c0b3, 0xc1147764, 0x6f74a9e4, 0xc10efeb8, 0x6f7192cf, 0xc1098634,
-    0x6f6e7b76, 0xc1040dd6,
-  0x6f6b63d8, 0xc0fe959f, 0x6f684bf6, 0xc0f91d8f, 0x6f6533ce, 0xc0f3a5a6,
-    0x6f621b62, 0xc0ee2de3,
-  0x6f5f02b2, 0xc0e8b648, 0x6f5be9bc, 0xc0e33ed4, 0x6f58d082, 0xc0ddc786,
-    0x6f55b703, 0xc0d8505f,
-  0x6f529d40, 0xc0d2d960, 0x6f4f8338, 0xc0cd6287, 0x6f4c68eb, 0xc0c7ebd6,
-    0x6f494e5a, 0xc0c2754b,
-  0x6f463383, 0xc0bcfee7, 0x6f431869, 0xc0b788ab, 0x6f3ffd09, 0xc0b21295,
-    0x6f3ce165, 0xc0ac9ca6,
-  0x6f39c57d, 0xc0a726df, 0x6f36a94f, 0xc0a1b13e, 0x6f338cde, 0xc09c3bc5,
-    0x6f307027, 0xc096c673,
-  0x6f2d532c, 0xc0915148, 0x6f2a35ed, 0xc08bdc44, 0x6f271868, 0xc0866767,
-    0x6f23faa0, 0xc080f2b1,
-  0x6f20dc92, 0xc07b7e23, 0x6f1dbe41, 0xc07609bb, 0x6f1a9faa, 0xc070957b,
-    0x6f1780cf, 0xc06b2162,
-  0x6f1461b0, 0xc065ad70, 0x6f11424c, 0xc06039a6, 0x6f0e22a3, 0xc05ac603,
-    0x6f0b02b6, 0xc0555287,
-  0x6f07e285, 0xc04fdf32, 0x6f04c20f, 0xc04a6c05, 0x6f01a155, 0xc044f8fe,
-    0x6efe8056, 0xc03f8620,
-  0x6efb5f12, 0xc03a1368, 0x6ef83d8a, 0xc034a0d8, 0x6ef51bbe, 0xc02f2e6f,
-    0x6ef1f9ad, 0xc029bc2e,
-  0x6eeed758, 0xc0244a14, 0x6eebb4bf, 0xc01ed821, 0x6ee891e1, 0xc0196656,
-    0x6ee56ebe, 0xc013f4b2,
-  0x6ee24b57, 0xc00e8336, 0x6edf27ac, 0xc00911e1, 0x6edc03bc, 0xc003a0b3,
-    0x6ed8df88, 0xbffe2fad,
-  0x6ed5bb10, 0xbff8bece, 0x6ed29653, 0xbff34e17, 0x6ecf7152, 0xbfeddd88,
-    0x6ecc4c0d, 0xbfe86d20,
-  0x6ec92683, 0xbfe2fcdf, 0x6ec600b5, 0xbfdd8cc6, 0x6ec2daa2, 0xbfd81cd5,
-    0x6ebfb44b, 0xbfd2ad0b,
-  0x6ebc8db0, 0xbfcd3d69, 0x6eb966d1, 0xbfc7cdee, 0x6eb63fad, 0xbfc25e9b,
-    0x6eb31845, 0xbfbcef70,
-  0x6eaff099, 0xbfb7806c, 0x6eacc8a8, 0xbfb21190, 0x6ea9a073, 0xbfaca2dc,
-    0x6ea677fa, 0xbfa7344f,
-  0x6ea34f3d, 0xbfa1c5ea, 0x6ea0263b, 0xbf9c57ac, 0x6e9cfcf5, 0xbf96e997,
-    0x6e99d36b, 0xbf917ba9,
-  0x6e96a99d, 0xbf8c0de3, 0x6e937f8a, 0xbf86a044, 0x6e905534, 0xbf8132ce,
-    0x6e8d2a99, 0xbf7bc57f,
-  0x6e89ffb9, 0xbf765858, 0x6e86d496, 0xbf70eb59, 0x6e83a92f, 0xbf6b7e81,
-    0x6e807d83, 0xbf6611d2,
-  0x6e7d5193, 0xbf60a54a, 0x6e7a255f, 0xbf5b38ea, 0x6e76f8e7, 0xbf55ccb2,
-    0x6e73cc2b, 0xbf5060a2,
-  0x6e709f2a, 0xbf4af4ba, 0x6e6d71e6, 0xbf4588fa, 0x6e6a445d, 0xbf401d61,
-    0x6e671690, 0xbf3ab1f1,
-  0x6e63e87f, 0xbf3546a8, 0x6e60ba2a, 0xbf2fdb88, 0x6e5d8b91, 0xbf2a708f,
-    0x6e5a5cb4, 0xbf2505bf,
-  0x6e572d93, 0xbf1f9b16, 0x6e53fe2e, 0xbf1a3096, 0x6e50ce84, 0xbf14c63d,
-    0x6e4d9e97, 0xbf0f5c0d,
-  0x6e4a6e66, 0xbf09f205, 0x6e473df0, 0xbf048824, 0x6e440d37, 0xbeff1e6c,
-    0x6e40dc39, 0xbef9b4dc,
-  0x6e3daaf8, 0xbef44b74, 0x6e3a7972, 0xbeeee234, 0x6e3747a9, 0xbee9791c,
-    0x6e34159b, 0xbee4102d,
-  0x6e30e34a, 0xbedea765, 0x6e2db0b4, 0xbed93ec6, 0x6e2a7ddb, 0xbed3d64f,
-    0x6e274abe, 0xbece6e00,
-  0x6e24175c, 0xbec905d9, 0x6e20e3b7, 0xbec39ddb, 0x6e1dafce, 0xbebe3605,
-    0x6e1a7ba1, 0xbeb8ce57,
-  0x6e174730, 0xbeb366d1, 0x6e14127b, 0xbeadff74, 0x6e10dd82, 0xbea8983f,
-    0x6e0da845, 0xbea33132,
-  0x6e0a72c5, 0xbe9dca4e, 0x6e073d00, 0xbe986391, 0x6e0406f8, 0xbe92fcfe,
-    0x6e00d0ac, 0xbe8d9692,
-  0x6dfd9a1c, 0xbe88304f, 0x6dfa6348, 0xbe82ca35, 0x6df72c30, 0xbe7d6442,
-    0x6df3f4d4, 0xbe77fe78,
-  0x6df0bd35, 0xbe7298d7, 0x6ded8552, 0xbe6d335e, 0x6dea4d2b, 0xbe67ce0d,
-    0x6de714c0, 0xbe6268e5,
-  0x6de3dc11, 0xbe5d03e6, 0x6de0a31f, 0xbe579f0f, 0x6ddd69e9, 0xbe523a60,
-    0x6dda306f, 0xbe4cd5da,
-  0x6dd6f6b1, 0xbe47717c, 0x6dd3bcaf, 0xbe420d47, 0x6dd0826a, 0xbe3ca93b,
-    0x6dcd47e1, 0xbe374557,
-  0x6dca0d14, 0xbe31e19b, 0x6dc6d204, 0xbe2c7e09, 0x6dc396b0, 0xbe271a9f,
-    0x6dc05b18, 0xbe21b75d,
-  0x6dbd1f3c, 0xbe1c5444, 0x6db9e31d, 0xbe16f154, 0x6db6a6ba, 0xbe118e8c,
-    0x6db36a14, 0xbe0c2bed,
-  0x6db02d29, 0xbe06c977, 0x6daceffb, 0xbe01672a, 0x6da9b28a, 0xbdfc0505,
-    0x6da674d5, 0xbdf6a309,
-  0x6da336dc, 0xbdf14135, 0x6d9ff89f, 0xbdebdf8b, 0x6d9cba1f, 0xbde67e09,
-    0x6d997b5b, 0xbde11cb0,
-  0x6d963c54, 0xbddbbb7f, 0x6d92fd09, 0xbdd65a78, 0x6d8fbd7a, 0xbdd0f999,
-    0x6d8c7da8, 0xbdcb98e3,
-  0x6d893d93, 0xbdc63856, 0x6d85fd39, 0xbdc0d7f2, 0x6d82bc9d, 0xbdbb77b7,
-    0x6d7f7bbc, 0xbdb617a4,
-  0x6d7c3a98, 0xbdb0b7bb, 0x6d78f931, 0xbdab57fa, 0x6d75b786, 0xbda5f862,
-    0x6d727597, 0xbda098f3,
-  0x6d6f3365, 0xbd9b39ad, 0x6d6bf0f0, 0xbd95da91, 0x6d68ae37, 0xbd907b9d,
-    0x6d656b3a, 0xbd8b1cd2,
-  0x6d6227fa, 0xbd85be30, 0x6d5ee477, 0xbd805fb7, 0x6d5ba0b0, 0xbd7b0167,
-    0x6d585ca6, 0xbd75a340,
-  0x6d551858, 0xbd704542, 0x6d51d3c6, 0xbd6ae76d, 0x6d4e8ef2, 0xbd6589c1,
-    0x6d4b49da, 0xbd602c3f,
-  0x6d48047e, 0xbd5acee5, 0x6d44bedf, 0xbd5571b5, 0x6d4178fd, 0xbd5014ad,
-    0x6d3e32d7, 0xbd4ab7cf,
-  0x6d3aec6e, 0xbd455b1a, 0x6d37a5c1, 0xbd3ffe8e, 0x6d345ed1, 0xbd3aa22c,
-    0x6d31179e, 0xbd3545f2,
-  0x6d2dd027, 0xbd2fe9e2, 0x6d2a886e, 0xbd2a8dfb, 0x6d274070, 0xbd25323d,
-    0x6d23f830, 0xbd1fd6a8,
-  0x6d20afac, 0xbd1a7b3d, 0x6d1d66e4, 0xbd151ffb, 0x6d1a1dda, 0xbd0fc4e2,
-    0x6d16d48c, 0xbd0a69f2,
-  0x6d138afb, 0xbd050f2c, 0x6d104126, 0xbcffb48f, 0x6d0cf70f, 0xbcfa5a1b,
-    0x6d09acb4, 0xbcf4ffd1,
-  0x6d066215, 0xbcefa5b0, 0x6d031734, 0xbcea4bb9, 0x6cffcc0f, 0xbce4f1eb,
-    0x6cfc80a7, 0xbcdf9846,
-  0x6cf934fc, 0xbcda3ecb, 0x6cf5e90d, 0xbcd4e579, 0x6cf29cdc, 0xbccf8c50,
-    0x6cef5067, 0xbcca3351,
-  0x6cec03af, 0xbcc4da7b, 0x6ce8b6b4, 0xbcbf81cf, 0x6ce56975, 0xbcba294d,
-    0x6ce21bf4, 0xbcb4d0f4,
-  0x6cdece2f, 0xbcaf78c4, 0x6cdb8027, 0xbcaa20be, 0x6cd831dc, 0xbca4c8e1,
-    0x6cd4e34e, 0xbc9f712e,
-  0x6cd1947c, 0xbc9a19a5, 0x6cce4568, 0xbc94c245, 0x6ccaf610, 0xbc8f6b0f,
-    0x6cc7a676, 0xbc8a1402,
-  0x6cc45698, 0xbc84bd1f, 0x6cc10677, 0xbc7f6665, 0x6cbdb613, 0xbc7a0fd6,
-    0x6cba656c, 0xbc74b96f,
-  0x6cb71482, 0xbc6f6333, 0x6cb3c355, 0xbc6a0d20, 0x6cb071e4, 0xbc64b737,
-    0x6cad2031, 0xbc5f6177,
-  0x6ca9ce3b, 0xbc5a0be2, 0x6ca67c01, 0xbc54b676, 0x6ca32985, 0xbc4f6134,
-    0x6c9fd6c6, 0xbc4a0c1b,
-  0x6c9c83c3, 0xbc44b72c, 0x6c99307e, 0xbc3f6267, 0x6c95dcf6, 0xbc3a0dcc,
-    0x6c92892a, 0xbc34b95b,
-  0x6c8f351c, 0xbc2f6513, 0x6c8be0cb, 0xbc2a10f6, 0x6c888c36, 0xbc24bd02,
-    0x6c85375f, 0xbc1f6938,
-  0x6c81e245, 0xbc1a1598, 0x6c7e8ce8, 0xbc14c221, 0x6c7b3748, 0xbc0f6ed5,
-    0x6c77e165, 0xbc0a1bb3,
-  0x6c748b3f, 0xbc04c8ba, 0x6c7134d7, 0xbbff75ec, 0x6c6dde2b, 0xbbfa2347,
-    0x6c6a873d, 0xbbf4d0cc,
-  0x6c67300b, 0xbbef7e7c, 0x6c63d897, 0xbbea2c55, 0x6c6080e0, 0xbbe4da58,
-    0x6c5d28e6, 0xbbdf8885,
-  0x6c59d0a9, 0xbbda36dd, 0x6c56782a, 0xbbd4e55e, 0x6c531f67, 0xbbcf940a,
-    0x6c4fc662, 0xbbca42df,
-  0x6c4c6d1a, 0xbbc4f1df, 0x6c49138f, 0xbbbfa108, 0x6c45b9c1, 0xbbba505c,
-    0x6c425fb1, 0xbbb4ffda,
-  0x6c3f055d, 0xbbafaf82, 0x6c3baac7, 0xbbaa5f54, 0x6c384fef, 0xbba50f50,
-    0x6c34f4d3, 0xbb9fbf77,
-  0x6c319975, 0xbb9a6fc7, 0x6c2e3dd4, 0xbb952042, 0x6c2ae1f0, 0xbb8fd0e7,
-    0x6c2785ca, 0xbb8a81b6,
-  0x6c242960, 0xbb8532b0, 0x6c20ccb4, 0xbb7fe3d3, 0x6c1d6fc6, 0xbb7a9521,
-    0x6c1a1295, 0xbb754699,
-  0x6c16b521, 0xbb6ff83c, 0x6c13576a, 0xbb6aaa09, 0x6c0ff971, 0xbb655c00,
-    0x6c0c9b35, 0xbb600e21,
-  0x6c093cb6, 0xbb5ac06d, 0x6c05ddf5, 0xbb5572e3, 0x6c027ef1, 0xbb502583,
-    0x6bff1faa, 0xbb4ad84e,
-  0x6bfbc021, 0xbb458b43, 0x6bf86055, 0xbb403e63, 0x6bf50047, 0xbb3af1ad,
-    0x6bf19ff6, 0xbb35a521,
-  0x6bee3f62, 0xbb3058c0, 0x6beade8c, 0xbb2b0c8a, 0x6be77d74, 0xbb25c07d,
-    0x6be41c18, 0xbb20749c,
-  0x6be0ba7b, 0xbb1b28e4, 0x6bdd589a, 0xbb15dd57, 0x6bd9f677, 0xbb1091f5,
-    0x6bd69412, 0xbb0b46bd,
-  0x6bd3316a, 0xbb05fbb0, 0x6bcfce80, 0xbb00b0ce, 0x6bcc6b53, 0xbafb6615,
-    0x6bc907e3, 0xbaf61b88,
-  0x6bc5a431, 0xbaf0d125, 0x6bc2403d, 0xbaeb86ed, 0x6bbedc06, 0xbae63cdf,
-    0x6bbb778d, 0xbae0f2fc,
-  0x6bb812d1, 0xbadba943, 0x6bb4add3, 0xbad65fb5, 0x6bb14892, 0xbad11652,
-    0x6bade30f, 0xbacbcd1a,
-  0x6baa7d49, 0xbac6840c, 0x6ba71741, 0xbac13b29, 0x6ba3b0f7, 0xbabbf270,
-    0x6ba04a6a, 0xbab6a9e3,
-  0x6b9ce39b, 0xbab16180, 0x6b997c8a, 0xbaac1948, 0x6b961536, 0xbaa6d13a,
-    0x6b92ada0, 0xbaa18958,
-  0x6b8f45c7, 0xba9c41a0, 0x6b8bddac, 0xba96fa13, 0x6b88754f, 0xba91b2b1,
-    0x6b850caf, 0xba8c6b79,
-  0x6b81a3cd, 0xba87246d, 0x6b7e3aa9, 0xba81dd8b, 0x6b7ad142, 0xba7c96d4,
-    0x6b776799, 0xba775048,
-  0x6b73fdae, 0xba7209e7, 0x6b709381, 0xba6cc3b1, 0x6b6d2911, 0xba677da6,
-    0x6b69be5f, 0xba6237c5,
-  0x6b66536b, 0xba5cf210, 0x6b62e834, 0xba57ac86, 0x6b5f7cbc, 0xba526726,
-    0x6b5c1101, 0xba4d21f2,
-  0x6b58a503, 0xba47dce8, 0x6b5538c4, 0xba42980a, 0x6b51cc42, 0xba3d5356,
-    0x6b4e5f7f, 0xba380ece,
-  0x6b4af279, 0xba32ca71, 0x6b478530, 0xba2d863e, 0x6b4417a6, 0xba284237,
-    0x6b40a9d9, 0xba22fe5b,
-  0x6b3d3bcb, 0xba1dbaaa, 0x6b39cd7a, 0xba187724, 0x6b365ee7, 0xba1333c9,
-    0x6b32f012, 0xba0df099,
-  0x6b2f80fb, 0xba08ad95, 0x6b2c11a1, 0xba036abb, 0x6b28a206, 0xb9fe280d,
-    0x6b253228, 0xb9f8e58a,
-  0x6b21c208, 0xb9f3a332, 0x6b1e51a7, 0xb9ee6106, 0x6b1ae103, 0xb9e91f04,
-    0x6b17701d, 0xb9e3dd2e,
-  0x6b13fef5, 0xb9de9b83, 0x6b108d8b, 0xb9d95a03, 0x6b0d1bdf, 0xb9d418af,
-    0x6b09a9f1, 0xb9ced786,
-  0x6b0637c1, 0xb9c99688, 0x6b02c54f, 0xb9c455b6, 0x6aff529a, 0xb9bf150e,
-    0x6afbdfa4, 0xb9b9d493,
-  0x6af86c6c, 0xb9b49442, 0x6af4f8f2, 0xb9af541d, 0x6af18536, 0xb9aa1423,
-    0x6aee1138, 0xb9a4d455,
-  0x6aea9cf8, 0xb99f94b2, 0x6ae72876, 0xb99a553a, 0x6ae3b3b2, 0xb99515ee,
-    0x6ae03eac, 0xb98fd6cd,
-  0x6adcc964, 0xb98a97d8, 0x6ad953db, 0xb985590e, 0x6ad5de0f, 0xb9801a70,
-    0x6ad26802, 0xb97adbfd,
-  0x6acef1b2, 0xb9759db6, 0x6acb7b21, 0xb9705f9a, 0x6ac8044e, 0xb96b21aa,
-    0x6ac48d39, 0xb965e3e5,
-  0x6ac115e2, 0xb960a64c, 0x6abd9e49, 0xb95b68de, 0x6aba266e, 0xb9562b9c,
-    0x6ab6ae52, 0xb950ee86,
-  0x6ab335f4, 0xb94bb19b, 0x6aafbd54, 0xb94674dc, 0x6aac4472, 0xb9413848,
-    0x6aa8cb4e, 0xb93bfbe0,
-  0x6aa551e9, 0xb936bfa4, 0x6aa1d841, 0xb9318393, 0x6a9e5e58, 0xb92c47ae,
-    0x6a9ae42e, 0xb9270bf5,
-  0x6a9769c1, 0xb921d067, 0x6a93ef13, 0xb91c9505, 0x6a907423, 0xb91759cf,
-    0x6a8cf8f1, 0xb9121ec5,
-  0x6a897d7d, 0xb90ce3e6, 0x6a8601c8, 0xb907a933, 0x6a8285d1, 0xb9026eac,
-    0x6a7f0999, 0xb8fd3451,
-  0x6a7b8d1e, 0xb8f7fa21, 0x6a781062, 0xb8f2c01d, 0x6a749365, 0xb8ed8646,
-    0x6a711625, 0xb8e84c99,
-  0x6a6d98a4, 0xb8e31319, 0x6a6a1ae2, 0xb8ddd9c5, 0x6a669cdd, 0xb8d8a09d,
-    0x6a631e97, 0xb8d367a0,
-  0x6a5fa010, 0xb8ce2ecf, 0x6a5c2147, 0xb8c8f62b, 0x6a58a23c, 0xb8c3bdb2,
-    0x6a5522ef, 0xb8be8565,
-  0x6a51a361, 0xb8b94d44, 0x6a4e2392, 0xb8b4154f, 0x6a4aa381, 0xb8aedd86,
-    0x6a47232e, 0xb8a9a5e9,
-  0x6a43a29a, 0xb8a46e78, 0x6a4021c4, 0xb89f3733, 0x6a3ca0ad, 0xb89a001a,
-    0x6a391f54, 0xb894c92d,
-  0x6a359db9, 0xb88f926d, 0x6a321bdd, 0xb88a5bd8, 0x6a2e99c0, 0xb885256f,
-    0x6a2b1761, 0xb87fef33,
-  0x6a2794c1, 0xb87ab922, 0x6a2411df, 0xb875833e, 0x6a208ebb, 0xb8704d85,
-    0x6a1d0b57, 0xb86b17f9,
-  0x6a1987b0, 0xb865e299, 0x6a1603c8, 0xb860ad66, 0x6a127f9f, 0xb85b785e,
-    0x6a0efb35, 0xb8564383,
-  0x6a0b7689, 0xb8510ed4, 0x6a07f19b, 0xb84bda51, 0x6a046c6c, 0xb846a5fa,
-    0x6a00e6fc, 0xb84171cf,
-  0x69fd614a, 0xb83c3dd1, 0x69f9db57, 0xb83709ff, 0x69f65523, 0xb831d659,
-    0x69f2cead, 0xb82ca2e0,
-  0x69ef47f6, 0xb8276f93, 0x69ebc0fe, 0xb8223c72, 0x69e839c4, 0xb81d097e,
-    0x69e4b249, 0xb817d6b6,
-  0x69e12a8c, 0xb812a41a, 0x69dda28f, 0xb80d71aa, 0x69da1a50, 0xb8083f67,
-    0x69d691cf, 0xb8030d51,
-  0x69d3090e, 0xb7fddb67, 0x69cf800b, 0xb7f8a9a9, 0x69cbf6c7, 0xb7f37818,
-    0x69c86d41, 0xb7ee46b3,
-  0x69c4e37a, 0xb7e9157a, 0x69c15973, 0xb7e3e46e, 0x69bdcf29, 0xb7deb38f,
-    0x69ba449f, 0xb7d982dc,
-  0x69b6b9d3, 0xb7d45255, 0x69b32ec7, 0xb7cf21fb, 0x69afa378, 0xb7c9f1ce,
-    0x69ac17e9, 0xb7c4c1cd,
-  0x69a88c19, 0xb7bf91f8, 0x69a50007, 0xb7ba6251, 0x69a173b5, 0xb7b532d6,
-    0x699de721, 0xb7b00387,
-  0x699a5a4c, 0xb7aad465, 0x6996cd35, 0xb7a5a570, 0x69933fde, 0xb7a076a7,
-    0x698fb246, 0xb79b480b,
-  0x698c246c, 0xb796199b, 0x69889651, 0xb790eb58, 0x698507f6, 0xb78bbd42,
-    0x69817959, 0xb7868f59,
-  0x697dea7b, 0xb781619c, 0x697a5b5c, 0xb77c340c, 0x6976cbfc, 0xb77706a9,
-    0x69733c5b, 0xb771d972,
-  0x696fac78, 0xb76cac69, 0x696c1c55, 0xb7677f8c, 0x69688bf1, 0xb76252db,
-    0x6964fb4c, 0xb75d2658,
-  0x69616a65, 0xb757fa01, 0x695dd93e, 0xb752cdd8, 0x695a47d6, 0xb74da1db,
-    0x6956b62d, 0xb748760b,
-  0x69532442, 0xb7434a67, 0x694f9217, 0xb73e1ef1, 0x694bffab, 0xb738f3a7,
-    0x69486cfe, 0xb733c88b,
-  0x6944da10, 0xb72e9d9b, 0x694146e1, 0xb72972d8, 0x693db371, 0xb7244842,
-    0x693a1fc0, 0xb71f1dd9,
-  0x69368bce, 0xb719f39e, 0x6932f79b, 0xb714c98e, 0x692f6328, 0xb70f9fac,
-    0x692bce73, 0xb70a75f7,
-  0x6928397e, 0xb7054c6f, 0x6924a448, 0xb7002314, 0x69210ed1, 0xb6faf9e6,
-    0x691d7919, 0xb6f5d0e5,
-  0x6919e320, 0xb6f0a812, 0x69164ce7, 0xb6eb7f6b, 0x6912b66c, 0xb6e656f1,
-    0x690f1fb1, 0xb6e12ea4,
-  0x690b88b5, 0xb6dc0685, 0x6907f178, 0xb6d6de92, 0x690459fb, 0xb6d1b6cd,
-    0x6900c23c, 0xb6cc8f35,
-  0x68fd2a3d, 0xb6c767ca, 0x68f991fd, 0xb6c2408c, 0x68f5f97d, 0xb6bd197c,
-    0x68f260bb, 0xb6b7f298,
-  0x68eec7b9, 0xb6b2cbe2, 0x68eb2e76, 0xb6ada559, 0x68e794f3, 0xb6a87efd,
-    0x68e3fb2e, 0xb6a358ce,
-  0x68e06129, 0xb69e32cd, 0x68dcc6e4, 0xb6990cf9, 0x68d92c5d, 0xb693e752,
-    0x68d59196, 0xb68ec1d9,
-  0x68d1f68f, 0xb6899c8d, 0x68ce5b46, 0xb684776e, 0x68cabfbd, 0xb67f527c,
-    0x68c723f3, 0xb67a2db8,
-  0x68c387e9, 0xb6750921, 0x68bfeb9e, 0xb66fe4b8, 0x68bc4f13, 0xb66ac07c,
-    0x68b8b247, 0xb6659c6d,
-  0x68b5153a, 0xb660788c, 0x68b177ed, 0xb65b54d8, 0x68adda5f, 0xb6563151,
-    0x68aa3c90, 0xb6510df8,
-  0x68a69e81, 0xb64beacd, 0x68a30031, 0xb646c7ce, 0x689f61a1, 0xb641a4fe,
-    0x689bc2d1, 0xb63c825b,
-  0x689823bf, 0xb6375fe5, 0x6894846e, 0xb6323d9d, 0x6890e4dc, 0xb62d1b82,
-    0x688d4509, 0xb627f995,
-  0x6889a4f6, 0xb622d7d6, 0x688604a2, 0xb61db644, 0x6882640e, 0xb61894df,
-    0x687ec339, 0xb61373a9,
-  0x687b2224, 0xb60e529f, 0x687780ce, 0xb60931c4, 0x6873df38, 0xb6041116,
-    0x68703d62, 0xb5fef095,
-  0x686c9b4b, 0xb5f9d043, 0x6868f8f4, 0xb5f4b01e, 0x6865565c, 0xb5ef9026,
-    0x6861b384, 0xb5ea705d,
-  0x685e106c, 0xb5e550c1, 0x685a6d13, 0xb5e03153, 0x6856c979, 0xb5db1212,
-    0x685325a0, 0xb5d5f2ff,
-  0x684f8186, 0xb5d0d41a, 0x684bdd2c, 0xb5cbb563, 0x68483891, 0xb5c696da,
-    0x684493b6, 0xb5c1787e,
-  0x6840ee9b, 0xb5bc5a50, 0x683d493f, 0xb5b73c50, 0x6839a3a4, 0xb5b21e7e,
-    0x6835fdc7, 0xb5ad00d9,
-  0x683257ab, 0xb5a7e362, 0x682eb14e, 0xb5a2c61a, 0x682b0ab1, 0xb59da8ff,
-    0x682763d4, 0xb5988c12,
-  0x6823bcb7, 0xb5936f53, 0x68201559, 0xb58e52c2, 0x681c6dbb, 0xb589365e,
-    0x6818c5dd, 0xb5841a29,
-  0x68151dbe, 0xb57efe22, 0x68117560, 0xb579e248, 0x680dccc1, 0xb574c69d,
-    0x680a23e2, 0xb56fab1f,
-  0x68067ac3, 0xb56a8fd0, 0x6802d164, 0xb56574ae, 0x67ff27c4, 0xb56059bb,
-    0x67fb7de5, 0xb55b3ef5,
-  0x67f7d3c5, 0xb556245e, 0x67f42965, 0xb55109f5, 0x67f07ec5, 0xb54befba,
-    0x67ecd3e5, 0xb546d5ac,
-  0x67e928c5, 0xb541bbcd, 0x67e57d64, 0xb53ca21c, 0x67e1d1c4, 0xb5378899,
-    0x67de25e3, 0xb5326f45,
-  0x67da79c3, 0xb52d561e, 0x67d6cd62, 0xb5283d26, 0x67d320c1, 0xb523245b,
-    0x67cf73e1, 0xb51e0bbf,
-  0x67cbc6c0, 0xb518f351, 0x67c8195f, 0xb513db12, 0x67c46bbe, 0xb50ec300,
-    0x67c0bddd, 0xb509ab1d,
-  0x67bd0fbd, 0xb5049368, 0x67b9615c, 0xb4ff7be1, 0x67b5b2bb, 0xb4fa6489,
-    0x67b203da, 0xb4f54d5f,
-  0x67ae54ba, 0xb4f03663, 0x67aaa559, 0xb4eb1f95, 0x67a6f5b8, 0xb4e608f6,
-    0x67a345d8, 0xb4e0f285,
-  0x679f95b7, 0xb4dbdc42, 0x679be557, 0xb4d6c62e, 0x679834b6, 0xb4d1b048,
-    0x679483d6, 0xb4cc9a90,
-  0x6790d2b6, 0xb4c78507, 0x678d2156, 0xb4c26fad, 0x67896fb6, 0xb4bd5a80,
-    0x6785bdd6, 0xb4b84582,
-  0x67820bb7, 0xb4b330b3, 0x677e5957, 0xb4ae1c12, 0x677aa6b8, 0xb4a9079f,
-    0x6776f3d9, 0xb4a3f35b,
-  0x677340ba, 0xb49edf45, 0x676f8d5b, 0xb499cb5e, 0x676bd9bd, 0xb494b7a6,
-    0x676825de, 0xb48fa41c,
-  0x676471c0, 0xb48a90c0, 0x6760bd62, 0xb4857d93, 0x675d08c4, 0xb4806a95,
-    0x675953e7, 0xb47b57c5,
-  0x67559eca, 0xb4764523, 0x6751e96d, 0xb47132b1, 0x674e33d0, 0xb46c206d,
-    0x674a7df4, 0xb4670e57,
-  0x6746c7d8, 0xb461fc70, 0x6743117c, 0xb45ceab8, 0x673f5ae0, 0xb457d92f,
-    0x673ba405, 0xb452c7d4,
-  0x6737ecea, 0xb44db6a8, 0x67343590, 0xb448a5aa, 0x67307df5, 0xb44394db,
-    0x672cc61c, 0xb43e843b,
-  0x67290e02, 0xb43973ca, 0x672555a9, 0xb4346387, 0x67219d10, 0xb42f5373,
-    0x671de438, 0xb42a438e,
-  0x671a2b20, 0xb42533d8, 0x671671c8, 0xb4202451, 0x6712b831, 0xb41b14f8,
-    0x670efe5a, 0xb41605ce,
-  0x670b4444, 0xb410f6d3, 0x670789ee, 0xb40be807, 0x6703cf58, 0xb406d969,
-    0x67001483, 0xb401cafb,
-  0x66fc596f, 0xb3fcbcbb, 0x66f89e1b, 0xb3f7aeaa, 0x66f4e287, 0xb3f2a0c9,
-    0x66f126b4, 0xb3ed9316,
-  0x66ed6aa1, 0xb3e88592, 0x66e9ae4f, 0xb3e3783d, 0x66e5f1be, 0xb3de6b17,
-    0x66e234ed, 0xb3d95e1f,
-  0x66de77dc, 0xb3d45157, 0x66daba8c, 0xb3cf44be, 0x66d6fcfd, 0xb3ca3854,
-    0x66d33f2e, 0xb3c52c19,
-  0x66cf8120, 0xb3c0200c, 0x66cbc2d2, 0xb3bb142f, 0x66c80445, 0xb3b60881,
-    0x66c44579, 0xb3b0fd02,
-  0x66c0866d, 0xb3abf1b2, 0x66bcc721, 0xb3a6e691, 0x66b90797, 0xb3a1dba0,
-    0x66b547cd, 0xb39cd0dd,
-  0x66b187c3, 0xb397c649, 0x66adc77b, 0xb392bbe5, 0x66aa06f3, 0xb38db1b0,
-    0x66a6462b, 0xb388a7aa,
-  0x66a28524, 0xb3839dd3, 0x669ec3de, 0xb37e942b, 0x669b0259, 0xb3798ab2,
-    0x66974095, 0xb3748169,
-  0x66937e91, 0xb36f784f, 0x668fbc4e, 0xb36a6f64, 0x668bf9cb, 0xb36566a8,
-    0x66883709, 0xb3605e1c,
-  0x66847408, 0xb35b55bf, 0x6680b0c8, 0xb3564d91, 0x667ced49, 0xb3514592,
-    0x6679298a, 0xb34c3dc3,
-  0x6675658c, 0xb3473623, 0x6671a14f, 0xb3422eb2, 0x666ddcd3, 0xb33d2771,
-    0x666a1818, 0xb338205f,
-  0x6666531d, 0xb333197c, 0x66628de4, 0xb32e12c9, 0x665ec86b, 0xb3290c45,
-    0x665b02b3, 0xb32405f1,
-  0x66573cbb, 0xb31effcc, 0x66537685, 0xb319f9d6, 0x664fb010, 0xb314f410,
-    0x664be95b, 0xb30fee79,
-  0x66482267, 0xb30ae912, 0x66445b35, 0xb305e3da, 0x664093c3, 0xb300ded2,
-    0x663ccc12, 0xb2fbd9f9,
-  0x66390422, 0xb2f6d550, 0x66353bf3, 0xb2f1d0d6, 0x66317385, 0xb2eccc8c,
-    0x662daad8, 0xb2e7c871,
-  0x6629e1ec, 0xb2e2c486, 0x662618c1, 0xb2ddc0ca, 0x66224f56, 0xb2d8bd3e,
-    0x661e85ad, 0xb2d3b9e2,
-  0x661abbc5, 0xb2ceb6b5, 0x6616f19e, 0xb2c9b3b8, 0x66132738, 0xb2c4b0ea,
-    0x660f5c93, 0xb2bfae4c,
-  0x660b91af, 0xb2baabde, 0x6607c68c, 0xb2b5a99f, 0x6603fb2a, 0xb2b0a790,
-    0x66002f89, 0xb2aba5b1,
-  0x65fc63a9, 0xb2a6a402, 0x65f8978b, 0xb2a1a282, 0x65f4cb2d, 0xb29ca132,
-    0x65f0fe91, 0xb297a011,
-  0x65ed31b5, 0xb2929f21, 0x65e9649b, 0xb28d9e60, 0x65e59742, 0xb2889dcf,
-    0x65e1c9aa, 0xb2839d6d,
-  0x65ddfbd3, 0xb27e9d3c, 0x65da2dbd, 0xb2799d3a, 0x65d65f69, 0xb2749d68,
-    0x65d290d6, 0xb26f9dc6,
-  0x65cec204, 0xb26a9e54, 0x65caf2f3, 0xb2659f12, 0x65c723a3, 0xb2609fff,
-    0x65c35415, 0xb25ba11d,
-  0x65bf8447, 0xb256a26a, 0x65bbb43b, 0xb251a3e7, 0x65b7e3f1, 0xb24ca594,
-    0x65b41367, 0xb247a771,
-  0x65b0429f, 0xb242a97e, 0x65ac7198, 0xb23dabbb, 0x65a8a052, 0xb238ae28,
-    0x65a4cece, 0xb233b0c5,
-  0x65a0fd0b, 0xb22eb392, 0x659d2b09, 0xb229b68f, 0x659958c9, 0xb224b9bc,
-    0x6595864a, 0xb21fbd19,
-  0x6591b38c, 0xb21ac0a6, 0x658de08f, 0xb215c463, 0x658a0d54, 0xb210c850,
-    0x658639db, 0xb20bcc6d,
-  0x65826622, 0xb206d0ba, 0x657e922b, 0xb201d537, 0x657abdf6, 0xb1fcd9e5,
-    0x6576e982, 0xb1f7dec2,
-  0x657314cf, 0xb1f2e3d0, 0x656f3fde, 0xb1ede90e, 0x656b6aae, 0xb1e8ee7c,
-    0x6567953f, 0xb1e3f41a,
-  0x6563bf92, 0xb1def9e9, 0x655fe9a7, 0xb1d9ffe7, 0x655c137d, 0xb1d50616,
-    0x65583d14, 0xb1d00c75,
-  0x6554666d, 0xb1cb1304, 0x65508f87, 0xb1c619c3, 0x654cb863, 0xb1c120b3,
-    0x6548e101, 0xb1bc27d3,
-  0x6545095f, 0xb1b72f23, 0x65413180, 0xb1b236a4, 0x653d5962, 0xb1ad3e55,
-    0x65398105, 0xb1a84636,
-  0x6535a86b, 0xb1a34e47, 0x6531cf91, 0xb19e5689, 0x652df679, 0xb1995efb,
-    0x652a1d23, 0xb194679e,
-  0x6526438f, 0xb18f7071, 0x652269bc, 0xb18a7974, 0x651e8faa, 0xb18582a8,
-    0x651ab55b, 0xb1808c0c,
-  0x6516dacd, 0xb17b95a0, 0x65130000, 0xb1769f65, 0x650f24f5, 0xb171a95b,
-    0x650b49ac, 0xb16cb380,
-  0x65076e25, 0xb167bdd7, 0x6503925f, 0xb162c85d, 0x64ffb65b, 0xb15dd315,
-    0x64fbda18, 0xb158ddfd,
-  0x64f7fd98, 0xb153e915, 0x64f420d9, 0xb14ef45e, 0x64f043dc, 0xb149ffd7,
-    0x64ec66a0, 0xb1450b81,
-  0x64e88926, 0xb140175b, 0x64e4ab6e, 0xb13b2367, 0x64e0cd78, 0xb1362fa2,
-    0x64dcef44, 0xb1313c0e,
-  0x64d910d1, 0xb12c48ab, 0x64d53220, 0xb1275579, 0x64d15331, 0xb1226277,
-    0x64cd7404, 0xb11d6fa6,
-  0x64c99498, 0xb1187d05, 0x64c5b4ef, 0xb1138a95, 0x64c1d507, 0xb10e9856,
-    0x64bdf4e1, 0xb109a648,
-  0x64ba147d, 0xb104b46a, 0x64b633da, 0xb0ffc2bd, 0x64b252fa, 0xb0fad140,
-    0x64ae71dc, 0xb0f5dff5,
-  0x64aa907f, 0xb0f0eeda, 0x64a6aee4, 0xb0ebfdf0, 0x64a2cd0c, 0xb0e70d37,
-    0x649eeaf5, 0xb0e21cae,
-  0x649b08a0, 0xb0dd2c56, 0x6497260d, 0xb0d83c2f, 0x6493433c, 0xb0d34c39,
-    0x648f602d, 0xb0ce5c74,
-  0x648b7ce0, 0xb0c96ce0, 0x64879955, 0xb0c47d7c, 0x6483b58c, 0xb0bf8e4a,
-    0x647fd185, 0xb0ba9f48,
-  0x647bed3f, 0xb0b5b077, 0x647808bc, 0xb0b0c1d7, 0x647423fb, 0xb0abd368,
-    0x64703efc, 0xb0a6e52a,
-  0x646c59bf, 0xb0a1f71d, 0x64687444, 0xb09d0941, 0x64648e8c, 0xb0981b96,
-    0x6460a895, 0xb0932e1b,
-  0x645cc260, 0xb08e40d2, 0x6458dbed, 0xb08953ba, 0x6454f53d, 0xb08466d3,
-    0x64510e4e, 0xb07f7a1c,
-  0x644d2722, 0xb07a8d97, 0x64493fb8, 0xb075a143, 0x64455810, 0xb070b520,
-    0x6441702a, 0xb06bc92e,
-  0x643d8806, 0xb066dd6d, 0x64399fa5, 0xb061f1de, 0x6435b706, 0xb05d067f,
-    0x6431ce28, 0xb0581b51,
-  0x642de50d, 0xb0533055, 0x6429fbb5, 0xb04e458a, 0x6426121e, 0xb0495af0,
-    0x6422284a, 0xb0447087,
-  0x641e3e38, 0xb03f864f, 0x641a53e8, 0xb03a9c49, 0x6416695a, 0xb035b273,
-    0x64127e8f, 0xb030c8cf,
-  0x640e9386, 0xb02bdf5c, 0x640aa83f, 0xb026f61b, 0x6406bcba, 0xb0220d0a,
-    0x6402d0f8, 0xb01d242b,
-  0x63fee4f8, 0xb0183b7d, 0x63faf8bb, 0xb0135301, 0x63f70c3f, 0xb00e6ab5,
-    0x63f31f86, 0xb009829c,
-  0x63ef3290, 0xb0049ab3, 0x63eb455c, 0xafffb2fc, 0x63e757ea, 0xaffacb76,
-    0x63e36a3a, 0xaff5e421,
-  0x63df7c4d, 0xaff0fcfe, 0x63db8e22, 0xafec160c, 0x63d79fba, 0xafe72f4c,
-    0x63d3b114, 0xafe248bd,
-  0x63cfc231, 0xafdd625f, 0x63cbd310, 0xafd87c33, 0x63c7e3b1, 0xafd39638,
-    0x63c3f415, 0xafceb06f,
-  0x63c0043b, 0xafc9cad7, 0x63bc1424, 0xafc4e571, 0x63b823cf, 0xafc0003c,
-    0x63b4333d, 0xafbb1b39,
-  0x63b0426d, 0xafb63667, 0x63ac5160, 0xafb151c7, 0x63a86015, 0xafac6d58,
-    0x63a46e8d, 0xafa7891b,
-  0x63a07cc7, 0xafa2a50f, 0x639c8ac4, 0xaf9dc135, 0x63989884, 0xaf98dd8d,
-    0x6394a606, 0xaf93fa16,
-  0x6390b34a, 0xaf8f16d1, 0x638cc051, 0xaf8a33bd, 0x6388cd1b, 0xaf8550db,
-    0x6384d9a7, 0xaf806e2b,
-  0x6380e5f6, 0xaf7b8bac, 0x637cf208, 0xaf76a95f, 0x6378fddc, 0xaf71c743,
-    0x63750973, 0xaf6ce55a,
-  0x637114cc, 0xaf6803a2, 0x636d1fe9, 0xaf63221c, 0x63692ac7, 0xaf5e40c7,
-    0x63653569, 0xaf595fa4,
-  0x63613fcd, 0xaf547eb3, 0x635d49f4, 0xaf4f9df4, 0x635953dd, 0xaf4abd66,
-    0x63555d8a, 0xaf45dd0b,
-  0x635166f9, 0xaf40fce1, 0x634d702b, 0xaf3c1ce9, 0x6349791f, 0xaf373d22,
-    0x634581d6, 0xaf325d8e,
-  0x63418a50, 0xaf2d7e2b, 0x633d928d, 0xaf289efa, 0x63399a8d, 0xaf23bffb,
-    0x6335a24f, 0xaf1ee12e,
-  0x6331a9d4, 0xaf1a0293, 0x632db11c, 0xaf15242a, 0x6329b827, 0xaf1045f3,
-    0x6325bef5, 0xaf0b67ed,
-  0x6321c585, 0xaf068a1a, 0x631dcbd9, 0xaf01ac78, 0x6319d1ef, 0xaefccf09,
-    0x6315d7c8, 0xaef7f1cb,
-  0x6311dd64, 0xaef314c0, 0x630de2c3, 0xaeee37e6, 0x6309e7e4, 0xaee95b3f,
-    0x6305ecc9, 0xaee47ec9,
-  0x6301f171, 0xaedfa285, 0x62fdf5db, 0xaedac674, 0x62f9fa09, 0xaed5ea95,
-    0x62f5fdf9, 0xaed10ee7,
-  0x62f201ac, 0xaecc336c, 0x62ee0523, 0xaec75823, 0x62ea085c, 0xaec27d0c,
-    0x62e60b58, 0xaebda227,
-  0x62e20e17, 0xaeb8c774, 0x62de109a, 0xaeb3ecf3, 0x62da12df, 0xaeaf12a4,
-    0x62d614e7, 0xaeaa3888,
-  0x62d216b3, 0xaea55e9e, 0x62ce1841, 0xaea084e6, 0x62ca1992, 0xae9bab60,
-    0x62c61aa7, 0xae96d20c,
-  0x62c21b7e, 0xae91f8eb, 0x62be1c19, 0xae8d1ffb, 0x62ba1c77, 0xae88473e,
-    0x62b61c98, 0xae836eb4,
-  0x62b21c7b, 0xae7e965b, 0x62ae1c23, 0xae79be35, 0x62aa1b8d, 0xae74e641,
-    0x62a61aba, 0xae700e80,
-  0x62a219aa, 0xae6b36f0, 0x629e185e, 0xae665f93, 0x629a16d5, 0xae618869,
-    0x6296150f, 0xae5cb171,
-  0x6292130c, 0xae57daab, 0x628e10cc, 0xae530417, 0x628a0e50, 0xae4e2db6,
-    0x62860b97, 0xae495787,
-  0x628208a1, 0xae44818b, 0x627e056e, 0xae3fabc1, 0x627a01fe, 0xae3ad629,
-    0x6275fe52, 0xae3600c4,
-  0x6271fa69, 0xae312b92, 0x626df643, 0xae2c5691, 0x6269f1e1, 0xae2781c4,
-    0x6265ed42, 0xae22ad29,
-  0x6261e866, 0xae1dd8c0, 0x625de34e, 0xae19048a, 0x6259ddf8, 0xae143086,
-    0x6255d866, 0xae0f5cb5,
-  0x6251d298, 0xae0a8916, 0x624dcc8d, 0xae05b5aa, 0x6249c645, 0xae00e271,
-    0x6245bfc0, 0xadfc0f6a,
-  0x6241b8ff, 0xadf73c96, 0x623db202, 0xadf269f4, 0x6239aac7, 0xaded9785,
-    0x6235a351, 0xade8c548,
-  0x62319b9d, 0xade3f33e, 0x622d93ad, 0xaddf2167, 0x62298b81, 0xadda4fc3,
-    0x62258317, 0xadd57e51,
-  0x62217a72, 0xadd0ad12, 0x621d7190, 0xadcbdc05, 0x62196871, 0xadc70b2c,
-    0x62155f16, 0xadc23a85,
-  0x6211557e, 0xadbd6a10, 0x620d4baa, 0xadb899cf, 0x62094199, 0xadb3c9c0,
-    0x6205374c, 0xadaef9e4,
-  0x62012cc2, 0xadaa2a3b, 0x61fd21fc, 0xada55ac4, 0x61f916f9, 0xada08b80,
-    0x61f50bba, 0xad9bbc70,
-  0x61f1003f, 0xad96ed92, 0x61ecf487, 0xad921ee6, 0x61e8e893, 0xad8d506e,
-    0x61e4dc62, 0xad888229,
-  0x61e0cff5, 0xad83b416, 0x61dcc34c, 0xad7ee636, 0x61d8b666, 0xad7a1889,
-    0x61d4a944, 0xad754b0f,
-  0x61d09be5, 0xad707dc8, 0x61cc8e4b, 0xad6bb0b4, 0x61c88074, 0xad66e3d3,
-    0x61c47260, 0xad621725,
-  0x61c06410, 0xad5d4aaa, 0x61bc5584, 0xad587e61, 0x61b846bc, 0xad53b24c,
-    0x61b437b7, 0xad4ee66a,
-  0x61b02876, 0xad4a1aba, 0x61ac18f9, 0xad454f3e, 0x61a80940, 0xad4083f5,
-    0x61a3f94a, 0xad3bb8df,
-  0x619fe918, 0xad36edfc, 0x619bd8aa, 0xad32234b, 0x6197c800, 0xad2d58ce,
-    0x6193b719, 0xad288e85,
-  0x618fa5f7, 0xad23c46e, 0x618b9498, 0xad1efa8a, 0x618782fd, 0xad1a30d9,
-    0x61837126, 0xad15675c,
-  0x617f5f12, 0xad109e12, 0x617b4cc3, 0xad0bd4fb, 0x61773a37, 0xad070c17,
-    0x61732770, 0xad024366,
-  0x616f146c, 0xacfd7ae8, 0x616b012c, 0xacf8b29e, 0x6166edb0, 0xacf3ea87,
-    0x6162d9f8, 0xacef22a3,
-  0x615ec603, 0xacea5af2, 0x615ab1d3, 0xace59375, 0x61569d67, 0xace0cc2b,
-    0x615288be, 0xacdc0514,
-  0x614e73da, 0xacd73e30, 0x614a5eba, 0xacd27780, 0x6146495d, 0xaccdb103,
-    0x614233c5, 0xacc8eab9,
-  0x613e1df0, 0xacc424a3, 0x613a07e0, 0xacbf5ec0, 0x6135f193, 0xacba9910,
-    0x6131db0b, 0xacb5d394,
-  0x612dc447, 0xacb10e4b, 0x6129ad46, 0xacac4935, 0x6125960a, 0xaca78453,
-    0x61217e92, 0xaca2bfa4,
-  0x611d66de, 0xac9dfb29, 0x61194eee, 0xac9936e1, 0x611536c2, 0xac9472cd,
-    0x61111e5b, 0xac8faeec,
-  0x610d05b7, 0xac8aeb3e, 0x6108ecd8, 0xac8627c4, 0x6104d3bc, 0xac81647e,
-    0x6100ba65, 0xac7ca16b,
-  0x60fca0d2, 0xac77de8b, 0x60f88703, 0xac731bdf, 0x60f46cf9, 0xac6e5967,
-    0x60f052b2, 0xac699722,
-  0x60ec3830, 0xac64d510, 0x60e81d72, 0xac601333, 0x60e40278, 0xac5b5189,
-    0x60dfe743, 0xac569012,
-  0x60dbcbd1, 0xac51cecf, 0x60d7b024, 0xac4d0dc0, 0x60d3943b, 0xac484ce4,
-    0x60cf7817, 0xac438c3c,
-  0x60cb5bb7, 0xac3ecbc7, 0x60c73f1b, 0xac3a0b87, 0x60c32243, 0xac354b7a,
-    0x60bf0530, 0xac308ba0,
-  0x60bae7e1, 0xac2bcbfa, 0x60b6ca56, 0xac270c88, 0x60b2ac8f, 0xac224d4a,
-    0x60ae8e8d, 0xac1d8e40,
-  0x60aa7050, 0xac18cf69, 0x60a651d7, 0xac1410c6, 0x60a23322, 0xac0f5256,
-    0x609e1431, 0xac0a941b,
-  0x6099f505, 0xac05d613, 0x6095d59d, 0xac01183f, 0x6091b5fa, 0xabfc5a9f,
-    0x608d961b, 0xabf79d33,
-  0x60897601, 0xabf2dffb, 0x608555ab, 0xabee22f6, 0x60813519, 0xabe96625,
-    0x607d144c, 0xabe4a988,
-  0x6078f344, 0xabdfed1f, 0x6074d200, 0xabdb30ea, 0x6070b080, 0xabd674e9,
-    0x606c8ec5, 0xabd1b91c,
-  0x60686ccf, 0xabccfd83, 0x60644a9d, 0xabc8421d, 0x6060282f, 0xabc386ec,
-    0x605c0587, 0xabbecbee,
-  0x6057e2a2, 0xabba1125, 0x6053bf82, 0xabb5568f, 0x604f9c27, 0xabb09c2e,
-    0x604b7891, 0xababe200,
-  0x604754bf, 0xaba72807, 0x604330b1, 0xaba26e41, 0x603f0c69, 0xab9db4b0,
-    0x603ae7e5, 0xab98fb52,
-  0x6036c325, 0xab944229, 0x60329e2a, 0xab8f8934, 0x602e78f4, 0xab8ad073,
-    0x602a5383, 0xab8617e6,
-  0x60262dd6, 0xab815f8d, 0x602207ee, 0xab7ca768, 0x601de1ca, 0xab77ef77,
-    0x6019bb6b, 0xab7337bb,
-  0x601594d1, 0xab6e8032, 0x60116dfc, 0xab69c8de, 0x600d46ec, 0xab6511be,
-    0x60091fa0, 0xab605ad2,
-  0x6004f819, 0xab5ba41a, 0x6000d057, 0xab56ed97, 0x5ffca859, 0xab523748,
-    0x5ff88021, 0xab4d812d,
-  0x5ff457ad, 0xab48cb46, 0x5ff02efe, 0xab441593, 0x5fec0613, 0xab3f6015,
-    0x5fe7dcee, 0xab3aaacb,
-  0x5fe3b38d, 0xab35f5b5, 0x5fdf89f2, 0xab3140d4, 0x5fdb601b, 0xab2c8c27,
-    0x5fd73609, 0xab27d7ae,
-  0x5fd30bbc, 0xab23236a, 0x5fcee133, 0xab1e6f5a, 0x5fcab670, 0xab19bb7e,
-    0x5fc68b72, 0xab1507d7,
-  0x5fc26038, 0xab105464, 0x5fbe34c4, 0xab0ba125, 0x5fba0914, 0xab06ee1b,
-    0x5fb5dd29, 0xab023b46,
-  0x5fb1b104, 0xaafd88a4, 0x5fad84a3, 0xaaf8d637, 0x5fa95807, 0xaaf423ff,
-    0x5fa52b31, 0xaaef71fb,
-  0x5fa0fe1f, 0xaaeac02c, 0x5f9cd0d2, 0xaae60e91, 0x5f98a34a, 0xaae15d2a,
-    0x5f947588, 0xaadcabf8,
-  0x5f90478a, 0xaad7fafb, 0x5f8c1951, 0xaad34a32, 0x5f87eade, 0xaace999d,
-    0x5f83bc2f, 0xaac9e93e,
-  0x5f7f8d46, 0xaac53912, 0x5f7b5e22, 0xaac0891c, 0x5f772ec2, 0xaabbd959,
-    0x5f72ff28, 0xaab729cc,
-  0x5f6ecf53, 0xaab27a73, 0x5f6a9f44, 0xaaadcb4f, 0x5f666ef9, 0xaaa91c5f,
-    0x5f623e73, 0xaaa46da4,
-  0x5f5e0db3, 0xaa9fbf1e, 0x5f59dcb8, 0xaa9b10cc, 0x5f55ab82, 0xaa9662af,
-    0x5f517a11, 0xaa91b4c7,
-  0x5f4d4865, 0xaa8d0713, 0x5f49167f, 0xaa885994, 0x5f44e45e, 0xaa83ac4a,
-    0x5f40b202, 0xaa7eff34,
-  0x5f3c7f6b, 0xaa7a5253, 0x5f384c9a, 0xaa75a5a8, 0x5f34198e, 0xaa70f930,
-    0x5f2fe647, 0xaa6c4cee,
-  0x5f2bb2c5, 0xaa67a0e0, 0x5f277f09, 0xaa62f507, 0x5f234b12, 0xaa5e4963,
-    0x5f1f16e0, 0xaa599df4,
-  0x5f1ae274, 0xaa54f2ba, 0x5f16adcc, 0xaa5047b4, 0x5f1278eb, 0xaa4b9ce3,
-    0x5f0e43ce, 0xaa46f248,
-  0x5f0a0e77, 0xaa4247e1, 0x5f05d8e6, 0xaa3d9daf, 0x5f01a31a, 0xaa38f3b1,
-    0x5efd6d13, 0xaa3449e9,
-  0x5ef936d1, 0xaa2fa056, 0x5ef50055, 0xaa2af6f7, 0x5ef0c99f, 0xaa264dce,
-    0x5eec92ae, 0xaa21a4d9,
-  0x5ee85b82, 0xaa1cfc1a, 0x5ee4241c, 0xaa18538f, 0x5edfec7b, 0xaa13ab3a,
-    0x5edbb49f, 0xaa0f0319,
-  0x5ed77c8a, 0xaa0a5b2e, 0x5ed34439, 0xaa05b377, 0x5ecf0baf, 0xaa010bf6,
-    0x5ecad2e9, 0xa9fc64a9,
-  0x5ec699e9, 0xa9f7bd92, 0x5ec260af, 0xa9f316b0, 0x5ebe273b, 0xa9ee7002,
-    0x5eb9ed8b, 0xa9e9c98a,
-  0x5eb5b3a2, 0xa9e52347, 0x5eb1797e, 0xa9e07d39, 0x5ead3f1f, 0xa9dbd761,
-    0x5ea90487, 0xa9d731bd,
-  0x5ea4c9b3, 0xa9d28c4e, 0x5ea08ea6, 0xa9cde715, 0x5e9c535e, 0xa9c94211,
-    0x5e9817dc, 0xa9c49d42,
-  0x5e93dc1f, 0xa9bff8a8, 0x5e8fa028, 0xa9bb5444, 0x5e8b63f7, 0xa9b6b014,
-    0x5e87278b, 0xa9b20c1a,
-  0x5e82eae5, 0xa9ad6855, 0x5e7eae05, 0xa9a8c4c5, 0x5e7a70ea, 0xa9a4216b,
-    0x5e763395, 0xa99f7e46,
-  0x5e71f606, 0xa99adb56, 0x5e6db83d, 0xa996389b, 0x5e697a39, 0xa9919616,
-    0x5e653bfc, 0xa98cf3c6,
-  0x5e60fd84, 0xa98851ac, 0x5e5cbed1, 0xa983afc6, 0x5e587fe5, 0xa97f0e16,
-    0x5e5440be, 0xa97a6c9c,
-  0x5e50015d, 0xa975cb57, 0x5e4bc1c2, 0xa9712a47, 0x5e4781ed, 0xa96c896c,
-    0x5e4341de, 0xa967e8c7,
-  0x5e3f0194, 0xa9634858, 0x5e3ac110, 0xa95ea81d, 0x5e368053, 0xa95a0819,
-    0x5e323f5b, 0xa9556849,
-  0x5e2dfe29, 0xa950c8b0, 0x5e29bcbd, 0xa94c294b, 0x5e257b17, 0xa9478a1c,
-    0x5e213936, 0xa942eb23,
-  0x5e1cf71c, 0xa93e4c5f, 0x5e18b4c8, 0xa939add1, 0x5e147239, 0xa9350f78,
-    0x5e102f71, 0xa9307155,
-  0x5e0bec6e, 0xa92bd367, 0x5e07a932, 0xa92735af, 0x5e0365bb, 0xa922982c,
-    0x5dff220b, 0xa91dfadf,
-  0x5dfade20, 0xa9195dc7, 0x5df699fc, 0xa914c0e6, 0x5df2559e, 0xa9102439,
-    0x5dee1105, 0xa90b87c3,
-  0x5de9cc33, 0xa906eb82, 0x5de58727, 0xa9024f76, 0x5de141e1, 0xa8fdb3a1,
-    0x5ddcfc61, 0xa8f91801,
-  0x5dd8b6a7, 0xa8f47c97, 0x5dd470b3, 0xa8efe162, 0x5dd02a85, 0xa8eb4663,
-    0x5dcbe41d, 0xa8e6ab9a,
-  0x5dc79d7c, 0xa8e21106, 0x5dc356a1, 0xa8dd76a9, 0x5dbf0f8c, 0xa8d8dc81,
-    0x5dbac83d, 0xa8d4428f,
-  0x5db680b4, 0xa8cfa8d2, 0x5db238f1, 0xa8cb0f4b, 0x5dadf0f5, 0xa8c675fb,
-    0x5da9a8bf, 0xa8c1dce0,
-  0x5da5604f, 0xa8bd43fa, 0x5da117a5, 0xa8b8ab4b, 0x5d9ccec2, 0xa8b412d1,
-    0x5d9885a5, 0xa8af7a8e,
-  0x5d943c4e, 0xa8aae280, 0x5d8ff2bd, 0xa8a64aa8, 0x5d8ba8f3, 0xa8a1b306,
-    0x5d875eef, 0xa89d1b99,
-  0x5d8314b1, 0xa8988463, 0x5d7eca39, 0xa893ed63, 0x5d7a7f88, 0xa88f5698,
-    0x5d76349d, 0xa88ac004,
-  0x5d71e979, 0xa88629a5, 0x5d6d9e1b, 0xa881937c, 0x5d695283, 0xa87cfd8a,
-    0x5d6506b2, 0xa87867cd,
-  0x5d60baa7, 0xa873d246, 0x5d5c6e62, 0xa86f3cf6, 0x5d5821e4, 0xa86aa7db,
-    0x5d53d52d, 0xa86612f6,
-  0x5d4f883b, 0xa8617e48, 0x5d4b3b10, 0xa85ce9cf, 0x5d46edac, 0xa858558d,
-    0x5d42a00e, 0xa853c180,
-  0x5d3e5237, 0xa84f2daa, 0x5d3a0426, 0xa84a9a0a, 0x5d35b5db, 0xa84606a0,
-    0x5d316757, 0xa841736c,
-  0x5d2d189a, 0xa83ce06e, 0x5d28c9a3, 0xa8384da6, 0x5d247a72, 0xa833bb14,
-    0x5d202b09, 0xa82f28b9,
-  0x5d1bdb65, 0xa82a9693, 0x5d178b89, 0xa82604a4, 0x5d133b72, 0xa82172eb,
-    0x5d0eeb23, 0xa81ce169,
-  0x5d0a9a9a, 0xa818501c, 0x5d0649d7, 0xa813bf06, 0x5d01f8dc, 0xa80f2e26,
-    0x5cfda7a7, 0xa80a9d7c,
-  0x5cf95638, 0xa8060d08, 0x5cf50490, 0xa8017ccb, 0x5cf0b2af, 0xa7fcecc4,
-    0x5cec6095, 0xa7f85cf3,
-  0x5ce80e41, 0xa7f3cd59, 0x5ce3bbb4, 0xa7ef3df5, 0x5cdf68ed, 0xa7eaaec7,
-    0x5cdb15ed, 0xa7e61fd0,
-  0x5cd6c2b5, 0xa7e1910f, 0x5cd26f42, 0xa7dd0284, 0x5cce1b97, 0xa7d8742f,
-    0x5cc9c7b2, 0xa7d3e611,
-  0x5cc57394, 0xa7cf582a, 0x5cc11f3d, 0xa7caca79, 0x5cbccaac, 0xa7c63cfe,
-    0x5cb875e3, 0xa7c1afb9,
-  0x5cb420e0, 0xa7bd22ac, 0x5cafcba4, 0xa7b895d4, 0x5cab762f, 0xa7b40933,
-    0x5ca72080, 0xa7af7cc8,
-  0x5ca2ca99, 0xa7aaf094, 0x5c9e7478, 0xa7a66497, 0x5c9a1e1e, 0xa7a1d8d0,
-    0x5c95c78b, 0xa79d4d3f,
-  0x5c9170bf, 0xa798c1e5, 0x5c8d19ba, 0xa79436c1, 0x5c88c27c, 0xa78fabd4,
-    0x5c846b05, 0xa78b211e,
-  0x5c801354, 0xa786969e, 0x5c7bbb6b, 0xa7820c55, 0x5c776348, 0xa77d8242,
-    0x5c730aed, 0xa778f866,
-  0x5c6eb258, 0xa7746ec0, 0x5c6a598b, 0xa76fe551, 0x5c660084, 0xa76b5c19,
-    0x5c61a745, 0xa766d317,
-  0x5c5d4dcc, 0xa7624a4d, 0x5c58f41a, 0xa75dc1b8, 0x5c549a30, 0xa759395b,
-    0x5c50400d, 0xa754b134,
-  0x5c4be5b0, 0xa7502943, 0x5c478b1b, 0xa74ba18a, 0x5c43304d, 0xa7471a07,
-    0x5c3ed545, 0xa74292bb,
-  0x5c3a7a05, 0xa73e0ba5, 0x5c361e8c, 0xa73984c7, 0x5c31c2db, 0xa734fe1f,
-    0x5c2d66f0, 0xa73077ae,
-  0x5c290acc, 0xa72bf174, 0x5c24ae70, 0xa7276b70, 0x5c2051db, 0xa722e5a3,
-    0x5c1bf50d, 0xa71e600d,
-  0x5c179806, 0xa719daae, 0x5c133ac6, 0xa7155586, 0x5c0edd4e, 0xa710d095,
-    0x5c0a7f9c, 0xa70c4bda,
-  0x5c0621b2, 0xa707c757, 0x5c01c38f, 0xa703430a, 0x5bfd6534, 0xa6febef4,
-    0x5bf906a0, 0xa6fa3b15,
-  0x5bf4a7d2, 0xa6f5b76d, 0x5bf048cd, 0xa6f133fc, 0x5bebe98e, 0xa6ecb0c2,
-    0x5be78a17, 0xa6e82dbe,
-  0x5be32a67, 0xa6e3aaf2, 0x5bdeca7f, 0xa6df285d, 0x5bda6a5d, 0xa6daa5fe,
-    0x5bd60a03, 0xa6d623d7,
-  0x5bd1a971, 0xa6d1a1e7, 0x5bcd48a6, 0xa6cd202d, 0x5bc8e7a2, 0xa6c89eab,
-    0x5bc48666, 0xa6c41d60,
-  0x5bc024f0, 0xa6bf9c4b, 0x5bbbc343, 0xa6bb1b6e, 0x5bb7615d, 0xa6b69ac8,
-    0x5bb2ff3e, 0xa6b21a59,
-  0x5bae9ce7, 0xa6ad9a21, 0x5baa3a57, 0xa6a91a20, 0x5ba5d78e, 0xa6a49a56,
-    0x5ba1748d, 0xa6a01ac4,
-  0x5b9d1154, 0xa69b9b68, 0x5b98ade2, 0xa6971c44, 0x5b944a37, 0xa6929d57,
-    0x5b8fe654, 0xa68e1ea1,
-  0x5b8b8239, 0xa689a022, 0x5b871de5, 0xa68521da, 0x5b82b958, 0xa680a3ca,
-    0x5b7e5493, 0xa67c25f0,
-  0x5b79ef96, 0xa677a84e, 0x5b758a60, 0xa6732ae3, 0x5b7124f2, 0xa66eadb0,
-    0x5b6cbf4c, 0xa66a30b3,
-  0x5b68596d, 0xa665b3ee, 0x5b63f355, 0xa6613760, 0x5b5f8d06, 0xa65cbb0a,
-    0x5b5b267e, 0xa6583eeb,
-  0x5b56bfbd, 0xa653c303, 0x5b5258c4, 0xa64f4752, 0x5b4df193, 0xa64acbd9,
-    0x5b498a2a, 0xa6465097,
-  0x5b452288, 0xa641d58c, 0x5b40baae, 0xa63d5ab9, 0x5b3c529c, 0xa638e01d,
-    0x5b37ea51, 0xa63465b9,
-  0x5b3381ce, 0xa62feb8b, 0x5b2f1913, 0xa62b7196, 0x5b2ab020, 0xa626f7d7,
-    0x5b2646f4, 0xa6227e50,
-  0x5b21dd90, 0xa61e0501, 0x5b1d73f4, 0xa6198be9, 0x5b190a20, 0xa6151308,
-    0x5b14a014, 0xa6109a5f,
-  0x5b1035cf, 0xa60c21ee, 0x5b0bcb52, 0xa607a9b4, 0x5b07609d, 0xa60331b1,
-    0x5b02f5b0, 0xa5feb9e6,
-  0x5afe8a8b, 0xa5fa4252, 0x5afa1f2e, 0xa5f5caf6, 0x5af5b398, 0xa5f153d2,
-    0x5af147ca, 0xa5ecdce5,
-  0x5aecdbc5, 0xa5e8662f, 0x5ae86f87, 0xa5e3efb1, 0x5ae40311, 0xa5df796b,
-    0x5adf9663, 0xa5db035c,
-  0x5adb297d, 0xa5d68d85, 0x5ad6bc5f, 0xa5d217e6, 0x5ad24f09, 0xa5cda27e,
-    0x5acde17b, 0xa5c92d4e,
-  0x5ac973b5, 0xa5c4b855, 0x5ac505b7, 0xa5c04395, 0x5ac09781, 0xa5bbcf0b,
-    0x5abc2912, 0xa5b75aba,
-  0x5ab7ba6c, 0xa5b2e6a0, 0x5ab34b8e, 0xa5ae72be, 0x5aaedc78, 0xa5a9ff14,
-    0x5aaa6d2b, 0xa5a58ba1,
-  0x5aa5fda5, 0xa5a11866, 0x5aa18de7, 0xa59ca563, 0x5a9d1df1, 0xa5983297,
-    0x5a98adc4, 0xa593c004,
-  0x5a943d5e, 0xa58f4da8, 0x5a8fccc1, 0xa58adb84, 0x5a8b5bec, 0xa5866997,
-    0x5a86eadf, 0xa581f7e3,
-  0x5a82799a, 0xa57d8666, 0x5a7e081d, 0xa5791521, 0x5a799669, 0xa574a414,
-    0x5a75247c, 0xa570333f,
-  0x5a70b258, 0xa56bc2a2, 0x5a6c3ffc, 0xa567523c, 0x5a67cd69, 0xa562e20f,
-    0x5a635a9d, 0xa55e7219,
-  0x5a5ee79a, 0xa55a025b, 0x5a5a745f, 0xa55592d5, 0x5a5600ec, 0xa5512388,
-    0x5a518d42, 0xa54cb472,
-  0x5a4d1960, 0xa5484594, 0x5a48a546, 0xa543d6ee, 0x5a4430f5, 0xa53f687f,
-    0x5a3fbc6b, 0xa53afa49,
-  0x5a3b47ab, 0xa5368c4b, 0x5a36d2b2, 0xa5321e85, 0x5a325d82, 0xa52db0f7,
-    0x5a2de81a, 0xa52943a1,
-  0x5a29727b, 0xa524d683, 0x5a24fca4, 0xa520699d, 0x5a208695, 0xa51bfcef,
-    0x5a1c104f, 0xa5179079,
-  0x5a1799d1, 0xa513243b, 0x5a13231b, 0xa50eb836, 0x5a0eac2e, 0xa50a4c68,
-    0x5a0a350a, 0xa505e0d2,
-  0x5a05bdae, 0xa5017575, 0x5a01461a, 0xa4fd0a50, 0x59fcce4f, 0xa4f89f63,
-    0x59f8564c, 0xa4f434ae,
-  0x59f3de12, 0xa4efca31, 0x59ef65a1, 0xa4eb5fec, 0x59eaecf8, 0xa4e6f5e0,
-    0x59e67417, 0xa4e28c0c,
-  0x59e1faff, 0xa4de2270, 0x59dd81b0, 0xa4d9b90c, 0x59d90829, 0xa4d54fe0,
-    0x59d48e6a, 0xa4d0e6ed,
-  0x59d01475, 0xa4cc7e32, 0x59cb9a47, 0xa4c815af, 0x59c71fe3, 0xa4c3ad64,
-    0x59c2a547, 0xa4bf4552,
-  0x59be2a74, 0xa4badd78, 0x59b9af69, 0xa4b675d6, 0x59b53427, 0xa4b20e6d,
-    0x59b0b8ae, 0xa4ada73c,
-  0x59ac3cfd, 0xa4a94043, 0x59a7c115, 0xa4a4d982, 0x59a344f6, 0xa4a072fa,
-    0x599ec8a0, 0xa49c0cab,
-  0x599a4c12, 0xa497a693, 0x5995cf4d, 0xa49340b4, 0x59915250, 0xa48edb0e,
-    0x598cd51d, 0xa48a75a0,
-  0x598857b2, 0xa486106a, 0x5983da10, 0xa481ab6d, 0x597f5c36, 0xa47d46a8,
-    0x597ade26, 0xa478e21b,
-  0x59765fde, 0xa4747dc7, 0x5971e15f, 0xa47019ac, 0x596d62a9, 0xa46bb5c9,
-    0x5968e3bc, 0xa467521e,
-  0x59646498, 0xa462eeac, 0x595fe53c, 0xa45e8b73, 0x595b65aa, 0xa45a2872,
-    0x5956e5e0, 0xa455c5a9,
-  0x595265df, 0xa4516319, 0x594de5a7, 0xa44d00c2, 0x59496538, 0xa4489ea3,
-    0x5944e492, 0xa4443cbd,
-  0x594063b5, 0xa43fdb10, 0x593be2a0, 0xa43b799a, 0x59376155, 0xa437185e,
-    0x5932dfd3, 0xa432b75a,
-  0x592e5e19, 0xa42e568f, 0x5929dc29, 0xa429f5fd, 0x59255a02, 0xa42595a3,
-    0x5920d7a3, 0xa4213581,
-  0x591c550e, 0xa41cd599, 0x5917d242, 0xa41875e9, 0x59134f3e, 0xa4141672,
-    0x590ecc04, 0xa40fb733,
-  0x590a4893, 0xa40b582e, 0x5905c4eb, 0xa406f960, 0x5901410c, 0xa4029acc,
-    0x58fcbcf6, 0xa3fe3c71,
-  0x58f838a9, 0xa3f9de4e, 0x58f3b426, 0xa3f58064, 0x58ef2f6b, 0xa3f122b2,
-    0x58eaaa7a, 0xa3ecc53a,
-  0x58e62552, 0xa3e867fa, 0x58e19ff3, 0xa3e40af3, 0x58dd1a5d, 0xa3dfae25,
-    0x58d89490, 0xa3db5190,
-  0x58d40e8c, 0xa3d6f534, 0x58cf8852, 0xa3d29910, 0x58cb01e1, 0xa3ce3d25,
-    0x58c67b39, 0xa3c9e174,
-  0x58c1f45b, 0xa3c585fb, 0x58bd6d45, 0xa3c12abb, 0x58b8e5f9, 0xa3bccfb3,
-    0x58b45e76, 0xa3b874e5,
-  0x58afd6bd, 0xa3b41a50, 0x58ab4ecc, 0xa3afbff3, 0x58a6c6a5, 0xa3ab65d0,
-    0x58a23e48, 0xa3a70be6,
-  0x589db5b3, 0xa3a2b234, 0x58992ce9, 0xa39e58bb, 0x5894a3e7, 0xa399ff7c,
-    0x58901aaf, 0xa395a675,
-  0x588b9140, 0xa3914da8, 0x5887079a, 0xa38cf513, 0x58827dbe, 0xa3889cb8,
-    0x587df3ab, 0xa3844495,
-  0x58796962, 0xa37fecac, 0x5874dee2, 0xa37b94fb, 0x5870542c, 0xa3773d84,
-    0x586bc93f, 0xa372e646,
-  0x58673e1b, 0xa36e8f41, 0x5862b2c1, 0xa36a3875, 0x585e2730, 0xa365e1e2,
-    0x58599b69, 0xa3618b88,
-  0x58550f6c, 0xa35d3567, 0x58508338, 0xa358df80, 0x584bf6cd, 0xa35489d1,
-    0x58476a2c, 0xa350345c,
-  0x5842dd54, 0xa34bdf20, 0x583e5047, 0xa3478a1d, 0x5839c302, 0xa3433554,
-    0x58353587, 0xa33ee0c3,
-  0x5830a7d6, 0xa33a8c6c, 0x582c19ef, 0xa336384e, 0x58278bd1, 0xa331e469,
-    0x5822fd7c, 0xa32d90be,
-  0x581e6ef1, 0xa3293d4b, 0x5819e030, 0xa324ea13, 0x58155139, 0xa3209713,
-    0x5810c20b, 0xa31c444c,
-  0x580c32a7, 0xa317f1bf, 0x5807a30d, 0xa3139f6b, 0x5803133c, 0xa30f4d51,
-    0x57fe8335, 0xa30afb70,
-  0x57f9f2f8, 0xa306a9c8, 0x57f56284, 0xa3025859, 0x57f0d1da, 0xa2fe0724,
-    0x57ec40fa, 0xa2f9b629,
-  0x57e7afe4, 0xa2f56566, 0x57e31e97, 0xa2f114dd, 0x57de8d15, 0xa2ecc48e,
-    0x57d9fb5c, 0xa2e87477,
-  0x57d5696d, 0xa2e4249b, 0x57d0d747, 0xa2dfd4f7, 0x57cc44ec, 0xa2db858e,
-    0x57c7b25a, 0xa2d7365d,
-  0x57c31f92, 0xa2d2e766, 0x57be8c94, 0xa2ce98a9, 0x57b9f960, 0xa2ca4a25,
-    0x57b565f6, 0xa2c5fbda,
-  0x57b0d256, 0xa2c1adc9, 0x57ac3e80, 0xa2bd5ff2, 0x57a7aa73, 0xa2b91254,
-    0x57a31631, 0xa2b4c4f0,
-  0x579e81b8, 0xa2b077c5, 0x5799ed0a, 0xa2ac2ad3, 0x57955825, 0xa2a7de1c,
-    0x5790c30a, 0xa2a3919e,
-  0x578c2dba, 0xa29f4559, 0x57879833, 0xa29af94e, 0x57830276, 0xa296ad7d,
-    0x577e6c84, 0xa29261e5,
-  0x5779d65b, 0xa28e1687, 0x57753ffc, 0xa289cb63, 0x5770a968, 0xa2858078,
-    0x576c129d, 0xa28135c7,
-  0x57677b9d, 0xa27ceb4f, 0x5762e467, 0xa278a111, 0x575e4cfa, 0xa274570d,
-    0x5759b558, 0xa2700d43,
-  0x57551d80, 0xa26bc3b2, 0x57508572, 0xa2677a5b, 0x574bed2f, 0xa263313e,
-    0x574754b5, 0xa25ee85b,
-  0x5742bc06, 0xa25a9fb1, 0x573e2320, 0xa2565741, 0x57398a05, 0xa2520f0b,
-    0x5734f0b5, 0xa24dc70f,
-  0x5730572e, 0xa2497f4c, 0x572bbd71, 0xa24537c3, 0x5727237f, 0xa240f074,
-    0x57228957, 0xa23ca95f,
-  0x571deefa, 0xa2386284, 0x57195466, 0xa2341be3, 0x5714b99d, 0xa22fd57b,
-    0x57101e9e, 0xa22b8f4d,
-  0x570b8369, 0xa2274959, 0x5706e7ff, 0xa223039f, 0x57024c5f, 0xa21ebe1f,
-    0x56fdb08a, 0xa21a78d9,
-  0x56f9147e, 0xa21633cd, 0x56f4783d, 0xa211eefb, 0x56efdbc7, 0xa20daa62,
-    0x56eb3f1a, 0xa2096604,
-  0x56e6a239, 0xa20521e0, 0x56e20521, 0xa200ddf5, 0x56dd67d4, 0xa1fc9a45,
-    0x56d8ca51, 0xa1f856ce,
-  0x56d42c99, 0xa1f41392, 0x56cf8eab, 0xa1efd08f, 0x56caf088, 0xa1eb8dc7,
-    0x56c6522f, 0xa1e74b38,
-  0x56c1b3a1, 0xa1e308e4, 0x56bd14dd, 0xa1dec6ca, 0x56b875e4, 0xa1da84e9,
-    0x56b3d6b5, 0xa1d64343,
-  0x56af3750, 0xa1d201d7, 0x56aa97b7, 0xa1cdc0a5, 0x56a5f7e7, 0xa1c97fad,
-    0x56a157e3, 0xa1c53ef0,
-  0x569cb7a8, 0xa1c0fe6c, 0x56981739, 0xa1bcbe22, 0x56937694, 0xa1b87e13,
-    0x568ed5b9, 0xa1b43e3e,
-  0x568a34a9, 0xa1affea3, 0x56859364, 0xa1abbf42, 0x5680f1ea, 0xa1a7801b,
-    0x567c503a, 0xa1a3412f,
-  0x5677ae54, 0xa19f027c, 0x56730c3a, 0xa19ac404, 0x566e69ea, 0xa19685c7,
-    0x5669c765, 0xa19247c3,
-  0x566524aa, 0xa18e09fa, 0x566081ba, 0xa189cc6b, 0x565bde95, 0xa1858f16,
-    0x56573b3b, 0xa18151fb,
-  0x565297ab, 0xa17d151b, 0x564df3e6, 0xa178d875, 0x56494fec, 0xa1749c09,
-    0x5644abbc, 0xa1705fd8,
-  0x56400758, 0xa16c23e1, 0x563b62be, 0xa167e824, 0x5636bdef, 0xa163aca2,
-    0x563218eb, 0xa15f715a,
-  0x562d73b2, 0xa15b364d, 0x5628ce43, 0xa156fb79, 0x5624289f, 0xa152c0e1,
-    0x561f82c7, 0xa14e8682,
-  0x561adcb9, 0xa14a4c5e, 0x56163676, 0xa1461275, 0x56118ffe, 0xa141d8c5,
-    0x560ce950, 0xa13d9f51,
-  0x5608426e, 0xa1396617, 0x56039b57, 0xa1352d17, 0x55fef40a, 0xa130f451,
-    0x55fa4c89, 0xa12cbbc7,
-  0x55f5a4d2, 0xa1288376, 0x55f0fce7, 0xa1244b61, 0x55ec54c6, 0xa1201385,
-    0x55e7ac71, 0xa11bdbe4,
-  0x55e303e6, 0xa117a47e, 0x55de5b27, 0xa1136d52, 0x55d9b232, 0xa10f3661,
-    0x55d50909, 0xa10affab,
-  0x55d05faa, 0xa106c92f, 0x55cbb617, 0xa10292ed, 0x55c70c4f, 0xa0fe5ce6,
-    0x55c26251, 0xa0fa271a,
-  0x55bdb81f, 0xa0f5f189, 0x55b90db8, 0xa0f1bc32, 0x55b4631d, 0xa0ed8715,
-    0x55afb84c, 0xa0e95234,
-  0x55ab0d46, 0xa0e51d8c, 0x55a6620c, 0xa0e0e920, 0x55a1b69d, 0xa0dcb4ee,
-    0x559d0af9, 0xa0d880f7,
-  0x55985f20, 0xa0d44d3b, 0x5593b312, 0xa0d019b9, 0x558f06d0, 0xa0cbe672,
-    0x558a5a58, 0xa0c7b366,
-  0x5585adad, 0xa0c38095, 0x558100cc, 0xa0bf4dfe, 0x557c53b6, 0xa0bb1ba2,
-    0x5577a66c, 0xa0b6e981,
-  0x5572f8ed, 0xa0b2b79b, 0x556e4b39, 0xa0ae85ef, 0x55699d51, 0xa0aa547e,
-    0x5564ef34, 0xa0a62348,
-  0x556040e2, 0xa0a1f24d, 0x555b925c, 0xa09dc18d, 0x5556e3a1, 0xa0999107,
-    0x555234b1, 0xa09560bc,
-  0x554d858d, 0xa09130ad, 0x5548d634, 0xa08d00d8, 0x554426a7, 0xa088d13e,
-    0x553f76e4, 0xa084a1de,
-  0x553ac6ee, 0xa08072ba, 0x553616c2, 0xa07c43d1, 0x55316663, 0xa0781522,
-    0x552cb5ce, 0xa073e6af,
-  0x55280505, 0xa06fb876, 0x55235408, 0xa06b8a78, 0x551ea2d6, 0xa0675cb6,
-    0x5519f16f, 0xa0632f2e,
-  0x55153fd4, 0xa05f01e1, 0x55108e05, 0xa05ad4cf, 0x550bdc01, 0xa056a7f9,
-    0x550729c9, 0xa0527b5d,
-  0x5502775c, 0xa04e4efc, 0x54fdc4ba, 0xa04a22d7, 0x54f911e5, 0xa045f6ec,
-    0x54f45edb, 0xa041cb3c,
-  0x54efab9c, 0xa03d9fc8, 0x54eaf829, 0xa039748e, 0x54e64482, 0xa0354990,
-    0x54e190a6, 0xa0311ecd,
-  0x54dcdc96, 0xa02cf444, 0x54d82852, 0xa028c9f7, 0x54d373d9, 0xa0249fe5,
-    0x54cebf2c, 0xa020760e,
-  0x54ca0a4b, 0xa01c4c73, 0x54c55535, 0xa0182312, 0x54c09feb, 0xa013f9ed,
-    0x54bbea6d, 0xa00fd102,
-  0x54b734ba, 0xa00ba853, 0x54b27ed3, 0xa0077fdf, 0x54adc8b8, 0xa00357a7,
-    0x54a91269, 0x9fff2fa9,
-  0x54a45be6, 0x9ffb07e7, 0x549fa52e, 0x9ff6e060, 0x549aee42, 0x9ff2b914,
-    0x54963722, 0x9fee9204,
-  0x54917fce, 0x9fea6b2f, 0x548cc845, 0x9fe64495, 0x54881089, 0x9fe21e36,
-    0x54835898, 0x9fddf812,
-  0x547ea073, 0x9fd9d22a, 0x5479e81a, 0x9fd5ac7d, 0x54752f8d, 0x9fd1870c,
-    0x547076cc, 0x9fcd61d6,
-  0x546bbdd7, 0x9fc93cdb, 0x546704ae, 0x9fc5181b, 0x54624b50, 0x9fc0f397,
-    0x545d91bf, 0x9fbccf4f,
-  0x5458d7f9, 0x9fb8ab41, 0x54541e00, 0x9fb4876f, 0x544f63d2, 0x9fb063d9,
-    0x544aa971, 0x9fac407e,
-  0x5445eedb, 0x9fa81d5e, 0x54413412, 0x9fa3fa79, 0x543c7914, 0x9f9fd7d1,
-    0x5437bde3, 0x9f9bb563,
-  0x5433027d, 0x9f979331, 0x542e46e4, 0x9f93713b, 0x54298b17, 0x9f8f4f80,
-    0x5424cf16, 0x9f8b2e00,
-  0x542012e1, 0x9f870cbc, 0x541b5678, 0x9f82ebb4, 0x541699db, 0x9f7ecae7,
-    0x5411dd0a, 0x9f7aaa55,
-  0x540d2005, 0x9f7689ff, 0x540862cd, 0x9f7269e5, 0x5403a561, 0x9f6e4a06,
-    0x53fee7c1, 0x9f6a2a63,
-  0x53fa29ed, 0x9f660afb, 0x53f56be5, 0x9f61ebcf, 0x53f0adaa, 0x9f5dccde,
-    0x53ebef3a, 0x9f59ae29,
-  0x53e73097, 0x9f558fb0, 0x53e271c0, 0x9f517173, 0x53ddb2b6, 0x9f4d5371,
-    0x53d8f378, 0x9f4935aa,
-  0x53d43406, 0x9f45181f, 0x53cf7460, 0x9f40fad0, 0x53cab486, 0x9f3cddbd,
-    0x53c5f479, 0x9f38c0e5,
-  0x53c13439, 0x9f34a449, 0x53bc73c4, 0x9f3087e9, 0x53b7b31c, 0x9f2c6bc5,
-    0x53b2f240, 0x9f284fdc,
-  0x53ae3131, 0x9f24342f, 0x53a96fee, 0x9f2018bd, 0x53a4ae77, 0x9f1bfd88,
-    0x539feccd, 0x9f17e28e,
-  0x539b2af0, 0x9f13c7d0, 0x539668de, 0x9f0fad4e, 0x5391a699, 0x9f0b9307,
-    0x538ce421, 0x9f0778fd,
-  0x53882175, 0x9f035f2e, 0x53835e95, 0x9eff459b, 0x537e9b82, 0x9efb2c44,
-    0x5379d83c, 0x9ef71328,
-  0x537514c2, 0x9ef2fa49, 0x53705114, 0x9eeee1a5, 0x536b8d33, 0x9eeac93e,
-    0x5366c91f, 0x9ee6b112,
-  0x536204d7, 0x9ee29922, 0x535d405c, 0x9ede816e, 0x53587bad, 0x9eda69f6,
-    0x5353b6cb, 0x9ed652ba,
-  0x534ef1b5, 0x9ed23bb9, 0x534a2c6c, 0x9ece24f5, 0x534566f0, 0x9eca0e6d,
-    0x5340a140, 0x9ec5f820,
-  0x533bdb5d, 0x9ec1e210, 0x53371547, 0x9ebdcc3b, 0x53324efd, 0x9eb9b6a3,
-    0x532d8880, 0x9eb5a146,
-  0x5328c1d0, 0x9eb18c26, 0x5323faec, 0x9ead7742, 0x531f33d5, 0x9ea96299,
-    0x531a6c8b, 0x9ea54e2d,
-  0x5315a50e, 0x9ea139fd, 0x5310dd5d, 0x9e9d2608, 0x530c1579, 0x9e991250,
-    0x53074d62, 0x9e94fed4,
-  0x53028518, 0x9e90eb94, 0x52fdbc9a, 0x9e8cd890, 0x52f8f3e9, 0x9e88c5c9,
-    0x52f42b05, 0x9e84b33d,
-  0x52ef61ee, 0x9e80a0ee, 0x52ea98a4, 0x9e7c8eda, 0x52e5cf27, 0x9e787d03,
-    0x52e10576, 0x9e746b68,
-  0x52dc3b92, 0x9e705a09, 0x52d7717b, 0x9e6c48e7, 0x52d2a732, 0x9e683800,
-    0x52cddcb5, 0x9e642756,
-  0x52c91204, 0x9e6016e8, 0x52c44721, 0x9e5c06b6, 0x52bf7c0b, 0x9e57f6c0,
-    0x52bab0c2, 0x9e53e707,
-  0x52b5e546, 0x9e4fd78a, 0x52b11996, 0x9e4bc849, 0x52ac4db4, 0x9e47b944,
-    0x52a7819f, 0x9e43aa7c,
-  0x52a2b556, 0x9e3f9bf0, 0x529de8db, 0x9e3b8da0, 0x52991c2d, 0x9e377f8c,
-    0x52944f4c, 0x9e3371b5,
-  0x528f8238, 0x9e2f641b, 0x528ab4f1, 0x9e2b56bc, 0x5285e777, 0x9e27499a,
-    0x528119ca, 0x9e233cb4,
-  0x527c4bea, 0x9e1f300b, 0x52777dd7, 0x9e1b239e, 0x5272af92, 0x9e17176d,
-    0x526de11a, 0x9e130b79,
-  0x5269126e, 0x9e0effc1, 0x52644390, 0x9e0af446, 0x525f7480, 0x9e06e907,
-    0x525aa53c, 0x9e02de04,
-  0x5255d5c5, 0x9dfed33e, 0x5251061c, 0x9dfac8b4, 0x524c3640, 0x9df6be67,
-    0x52476631, 0x9df2b456,
-  0x524295f0, 0x9deeaa82, 0x523dc57b, 0x9deaa0ea, 0x5238f4d4, 0x9de6978f,
-    0x523423fb, 0x9de28e70,
-  0x522f52ee, 0x9dde858e, 0x522a81af, 0x9dda7ce9, 0x5225b03d, 0x9dd6747f,
-    0x5220de99, 0x9dd26c53,
-  0x521c0cc2, 0x9dce6463, 0x52173ab8, 0x9dca5caf, 0x5212687b, 0x9dc65539,
-    0x520d960c, 0x9dc24dfe,
-  0x5208c36a, 0x9dbe4701, 0x5203f096, 0x9dba4040, 0x51ff1d8f, 0x9db639bb,
-    0x51fa4a56, 0x9db23373,
-  0x51f576ea, 0x9dae2d68, 0x51f0a34b, 0x9daa279a, 0x51ebcf7a, 0x9da62208,
-    0x51e6fb76, 0x9da21cb2,
-  0x51e22740, 0x9d9e179a, 0x51dd52d7, 0x9d9a12be, 0x51d87e3c, 0x9d960e1f,
-    0x51d3a96f, 0x9d9209bd,
-  0x51ced46e, 0x9d8e0597, 0x51c9ff3c, 0x9d8a01ae, 0x51c529d7, 0x9d85fe02,
-    0x51c0543f, 0x9d81fa92,
-  0x51bb7e75, 0x9d7df75f, 0x51b6a879, 0x9d79f469, 0x51b1d24a, 0x9d75f1b0,
-    0x51acfbe9, 0x9d71ef34,
-  0x51a82555, 0x9d6decf4, 0x51a34e8f, 0x9d69eaf1, 0x519e7797, 0x9d65e92b,
-    0x5199a06d, 0x9d61e7a2,
-  0x5194c910, 0x9d5de656, 0x518ff180, 0x9d59e546, 0x518b19bf, 0x9d55e473,
-    0x518641cb, 0x9d51e3dd,
-  0x518169a5, 0x9d4de385, 0x517c914c, 0x9d49e368, 0x5177b8c2, 0x9d45e389,
-    0x5172e005, 0x9d41e3e7,
-  0x516e0715, 0x9d3de482, 0x51692df4, 0x9d39e559, 0x516454a0, 0x9d35e66e,
-    0x515f7b1a, 0x9d31e7bf,
-  0x515aa162, 0x9d2de94d, 0x5155c778, 0x9d29eb19, 0x5150ed5c, 0x9d25ed21,
-    0x514c130d, 0x9d21ef66,
-  0x5147388c, 0x9d1df1e9, 0x51425dd9, 0x9d19f4a8, 0x513d82f4, 0x9d15f7a4,
-    0x5138a7dd, 0x9d11fadd,
-  0x5133cc94, 0x9d0dfe54, 0x512ef119, 0x9d0a0207, 0x512a156b, 0x9d0605f7,
-    0x5125398c, 0x9d020a25,
-  0x51205d7b, 0x9cfe0e8f, 0x511b8137, 0x9cfa1337, 0x5116a4c1, 0x9cf6181c,
-    0x5111c81a, 0x9cf21d3d,
-  0x510ceb40, 0x9cee229c, 0x51080e35, 0x9cea2838, 0x510330f7, 0x9ce62e11,
-    0x50fe5388, 0x9ce23427,
-  0x50f975e6, 0x9cde3a7b, 0x50f49813, 0x9cda410b, 0x50efba0d, 0x9cd647d9,
-    0x50eadbd6, 0x9cd24ee4,
-  0x50e5fd6d, 0x9cce562c, 0x50e11ed2, 0x9cca5db1, 0x50dc4005, 0x9cc66573,
-    0x50d76106, 0x9cc26d73,
-  0x50d281d5, 0x9cbe75b0, 0x50cda272, 0x9cba7e2a, 0x50c8c2de, 0x9cb686e1,
-    0x50c3e317, 0x9cb28fd5,
-  0x50bf031f, 0x9cae9907, 0x50ba22f5, 0x9caaa276, 0x50b5429a, 0x9ca6ac23,
-    0x50b0620c, 0x9ca2b60c,
-  0x50ab814d, 0x9c9ec033, 0x50a6a05c, 0x9c9aca97, 0x50a1bf39, 0x9c96d539,
-    0x509cdde4, 0x9c92e017,
-  0x5097fc5e, 0x9c8eeb34, 0x50931aa6, 0x9c8af68d, 0x508e38bd, 0x9c870224,
-    0x508956a1, 0x9c830df8,
-  0x50847454, 0x9c7f1a0a, 0x507f91d5, 0x9c7b2659, 0x507aaf25, 0x9c7732e5,
-    0x5075cc43, 0x9c733faf,
-  0x5070e92f, 0x9c6f4cb6, 0x506c05ea, 0x9c6b59fa, 0x50672273, 0x9c67677c,
-    0x50623ecb, 0x9c63753c,
-  0x505d5af1, 0x9c5f8339, 0x505876e5, 0x9c5b9173, 0x505392a8, 0x9c579feb,
-    0x504eae39, 0x9c53aea0,
-  0x5049c999, 0x9c4fbd93, 0x5044e4c7, 0x9c4bccc3, 0x503fffc4, 0x9c47dc31,
-    0x503b1a8f, 0x9c43ebdc,
-  0x50363529, 0x9c3ffbc5, 0x50314f91, 0x9c3c0beb, 0x502c69c8, 0x9c381c4f,
-    0x502783cd, 0x9c342cf0,
-  0x50229da1, 0x9c303dcf, 0x501db743, 0x9c2c4eec, 0x5018d0b4, 0x9c286046,
-    0x5013e9f4, 0x9c2471de,
-  0x500f0302, 0x9c2083b3, 0x500a1bdf, 0x9c1c95c6, 0x5005348a, 0x9c18a816,
-    0x50004d04, 0x9c14baa4,
-  0x4ffb654d, 0x9c10cd70, 0x4ff67d64, 0x9c0ce07a, 0x4ff1954b, 0x9c08f3c1,
-    0x4fecacff, 0x9c050745,
-  0x4fe7c483, 0x9c011b08, 0x4fe2dbd5, 0x9bfd2f08, 0x4fddf2f6, 0x9bf94346,
-    0x4fd909e5, 0x9bf557c1,
-  0x4fd420a4, 0x9bf16c7a, 0x4fcf3731, 0x9bed8171, 0x4fca4d8d, 0x9be996a6,
-    0x4fc563b7, 0x9be5ac18,
-  0x4fc079b1, 0x9be1c1c8, 0x4fbb8f79, 0x9bddd7b6, 0x4fb6a510, 0x9bd9ede2,
-    0x4fb1ba76, 0x9bd6044b,
-  0x4faccfab, 0x9bd21af3, 0x4fa7e4af, 0x9bce31d8, 0x4fa2f981, 0x9bca48fa,
-    0x4f9e0e22, 0x9bc6605b,
-  0x4f992293, 0x9bc277fa, 0x4f9436d2, 0x9bbe8fd6, 0x4f8f4ae0, 0x9bbaa7f0,
-    0x4f8a5ebd, 0x9bb6c048,
-  0x4f857269, 0x9bb2d8de, 0x4f8085e4, 0x9baef1b2, 0x4f7b992d, 0x9bab0ac3,
-    0x4f76ac46, 0x9ba72413,
-  0x4f71bf2e, 0x9ba33da0, 0x4f6cd1e5, 0x9b9f576b, 0x4f67e46a, 0x9b9b7174,
-    0x4f62f6bf, 0x9b978bbc,
-  0x4f5e08e3, 0x9b93a641, 0x4f591ad6, 0x9b8fc104, 0x4f542c98, 0x9b8bdc05,
-    0x4f4f3e29, 0x9b87f744,
-  0x4f4a4f89, 0x9b8412c1, 0x4f4560b8, 0x9b802e7b, 0x4f4071b6, 0x9b7c4a74,
-    0x4f3b8284, 0x9b7866ab,
-  0x4f369320, 0x9b748320, 0x4f31a38c, 0x9b709fd3, 0x4f2cb3c7, 0x9b6cbcc4,
-    0x4f27c3d1, 0x9b68d9f3,
-  0x4f22d3aa, 0x9b64f760, 0x4f1de352, 0x9b61150b, 0x4f18f2c9, 0x9b5d32f4,
-    0x4f140210, 0x9b59511c,
-  0x4f0f1126, 0x9b556f81, 0x4f0a200b, 0x9b518e24, 0x4f052ec0, 0x9b4dad06,
-    0x4f003d43, 0x9b49cc26,
-  0x4efb4b96, 0x9b45eb83, 0x4ef659b8, 0x9b420b1f, 0x4ef167aa, 0x9b3e2af9,
-    0x4eec756b, 0x9b3a4b11,
-  0x4ee782fb, 0x9b366b68, 0x4ee2905a, 0x9b328bfc, 0x4edd9d89, 0x9b2eaccf,
-    0x4ed8aa87, 0x9b2acde0,
-  0x4ed3b755, 0x9b26ef2f, 0x4ecec3f2, 0x9b2310bc, 0x4ec9d05e, 0x9b1f3288,
-    0x4ec4dc99, 0x9b1b5492,
-  0x4ebfe8a5, 0x9b1776da, 0x4ebaf47f, 0x9b139960, 0x4eb60029, 0x9b0fbc24,
-    0x4eb10ba2, 0x9b0bdf27,
-  0x4eac16eb, 0x9b080268, 0x4ea72203, 0x9b0425e8, 0x4ea22ceb, 0x9b0049a5,
-    0x4e9d37a3, 0x9afc6da1,
-  0x4e984229, 0x9af891db, 0x4e934c80, 0x9af4b654, 0x4e8e56a5, 0x9af0db0b,
-    0x4e89609b, 0x9aed0000,
-  0x4e846a60, 0x9ae92533, 0x4e7f73f4, 0x9ae54aa5, 0x4e7a7d58, 0x9ae17056,
-    0x4e75868c, 0x9add9644,
-  0x4e708f8f, 0x9ad9bc71, 0x4e6b9862, 0x9ad5e2dd, 0x4e66a105, 0x9ad20987,
-    0x4e61a977, 0x9ace306f,
-  0x4e5cb1b9, 0x9aca5795, 0x4e57b9ca, 0x9ac67efb, 0x4e52c1ab, 0x9ac2a69e,
-    0x4e4dc95c, 0x9abece80,
-  0x4e48d0dd, 0x9abaf6a1, 0x4e43d82d, 0x9ab71eff, 0x4e3edf4d, 0x9ab3479d,
-    0x4e39e63d, 0x9aaf7079,
-  0x4e34ecfc, 0x9aab9993, 0x4e2ff38b, 0x9aa7c2ec, 0x4e2af9ea, 0x9aa3ec83,
-    0x4e260019, 0x9aa01659,
-  0x4e210617, 0x9a9c406e, 0x4e1c0be6, 0x9a986ac1, 0x4e171184, 0x9a949552,
-    0x4e1216f2, 0x9a90c022,
-  0x4e0d1c30, 0x9a8ceb31, 0x4e08213e, 0x9a89167e, 0x4e03261b, 0x9a85420a,
-    0x4dfe2ac9, 0x9a816dd5,
-  0x4df92f46, 0x9a7d99de, 0x4df43393, 0x9a79c625, 0x4def37b0, 0x9a75f2ac,
-    0x4dea3b9d, 0x9a721f71,
-  0x4de53f5a, 0x9a6e4c74, 0x4de042e7, 0x9a6a79b6, 0x4ddb4644, 0x9a66a737,
-    0x4dd64971, 0x9a62d4f7,
-  0x4dd14c6e, 0x9a5f02f5, 0x4dcc4f3b, 0x9a5b3132, 0x4dc751d8, 0x9a575fae,
-    0x4dc25445, 0x9a538e68,
-  0x4dbd5682, 0x9a4fbd61, 0x4db8588f, 0x9a4bec99, 0x4db35a6c, 0x9a481c0f,
-    0x4dae5c19, 0x9a444bc5,
-  0x4da95d96, 0x9a407bb9, 0x4da45ee3, 0x9a3cabeb, 0x4d9f6001, 0x9a38dc5d,
-    0x4d9a60ee, 0x9a350d0d,
-  0x4d9561ac, 0x9a313dfc, 0x4d90623a, 0x9a2d6f2a, 0x4d8b6298, 0x9a29a097,
-    0x4d8662c6, 0x9a25d243,
-  0x4d8162c4, 0x9a22042d, 0x4d7c6293, 0x9a1e3656, 0x4d776231, 0x9a1a68be,
-    0x4d7261a0, 0x9a169b65,
-  0x4d6d60df, 0x9a12ce4b, 0x4d685fef, 0x9a0f016f, 0x4d635ece, 0x9a0b34d3,
-    0x4d5e5d7e, 0x9a076875,
-  0x4d595bfe, 0x9a039c57, 0x4d545a4f, 0x99ffd077, 0x4d4f5870, 0x99fc04d6,
-    0x4d4a5661, 0x99f83974,
-  0x4d455422, 0x99f46e51, 0x4d4051b4, 0x99f0a36d, 0x4d3b4f16, 0x99ecd8c8,
-    0x4d364c48, 0x99e90e62,
-  0x4d31494b, 0x99e5443b, 0x4d2c461e, 0x99e17a53, 0x4d2742c2, 0x99ddb0aa,
-    0x4d223f36, 0x99d9e73f,
-  0x4d1d3b7a, 0x99d61e14, 0x4d18378f, 0x99d25528, 0x4d133374, 0x99ce8c7b,
-    0x4d0e2f2a, 0x99cac40d,
-  0x4d092ab0, 0x99c6fbde, 0x4d042607, 0x99c333ee, 0x4cff212e, 0x99bf6c3d,
-    0x4cfa1c26, 0x99bba4cb,
-  0x4cf516ee, 0x99b7dd99, 0x4cf01187, 0x99b416a5, 0x4ceb0bf0, 0x99b04ff0,
-    0x4ce6062a, 0x99ac897b,
-  0x4ce10034, 0x99a8c345, 0x4cdbfa0f, 0x99a4fd4d, 0x4cd6f3bb, 0x99a13795,
-    0x4cd1ed37, 0x999d721c,
-  0x4ccce684, 0x9999ace3, 0x4cc7dfa1, 0x9995e7e8, 0x4cc2d88f, 0x9992232d,
-    0x4cbdd14e, 0x998e5eb1,
-  0x4cb8c9dd, 0x998a9a74, 0x4cb3c23d, 0x9986d676, 0x4caeba6e, 0x998312b7,
-    0x4ca9b26f, 0x997f4f38,
-  0x4ca4aa41, 0x997b8bf8, 0x4c9fa1e4, 0x9977c8f7, 0x4c9a9958, 0x99740635,
-    0x4c95909c, 0x997043b2,
-  0x4c9087b1, 0x996c816f, 0x4c8b7e97, 0x9968bf6b, 0x4c86754e, 0x9964fda7,
-    0x4c816bd5, 0x99613c22,
-  0x4c7c622d, 0x995d7adc, 0x4c775856, 0x9959b9d5, 0x4c724e50, 0x9955f90d,
-    0x4c6d441b, 0x99523885,
-  0x4c6839b7, 0x994e783d, 0x4c632f23, 0x994ab833, 0x4c5e2460, 0x9946f869,
-    0x4c59196f, 0x994338df,
-  0x4c540e4e, 0x993f7993, 0x4c4f02fe, 0x993bba87, 0x4c49f77f, 0x9937fbbb,
-    0x4c44ebd1, 0x99343d2e,
-  0x4c3fdff4, 0x99307ee0, 0x4c3ad3e7, 0x992cc0d2, 0x4c35c7ac, 0x99290303,
-    0x4c30bb42, 0x99254574,
-  0x4c2baea9, 0x99218824, 0x4c26a1e1, 0x991dcb13, 0x4c2194e9, 0x991a0e42,
-    0x4c1c87c3, 0x991651b1,
-  0x4c177a6e, 0x9912955f, 0x4c126cea, 0x990ed94c, 0x4c0d5f37, 0x990b1d79,
-    0x4c085156, 0x990761e5,
-  0x4c034345, 0x9903a691, 0x4bfe3505, 0x98ffeb7d, 0x4bf92697, 0x98fc30a8,
-    0x4bf417f9, 0x98f87612,
-  0x4bef092d, 0x98f4bbbc, 0x4be9fa32, 0x98f101a6, 0x4be4eb08, 0x98ed47cf,
-    0x4bdfdbaf, 0x98e98e38,
-  0x4bdacc28, 0x98e5d4e0, 0x4bd5bc72, 0x98e21bc8, 0x4bd0ac8d, 0x98de62f0,
-    0x4bcb9c79, 0x98daaa57,
-  0x4bc68c36, 0x98d6f1fe, 0x4bc17bc5, 0x98d339e4, 0x4bbc6b25, 0x98cf820b,
-    0x4bb75a56, 0x98cbca70,
-  0x4bb24958, 0x98c81316, 0x4bad382c, 0x98c45bfb, 0x4ba826d1, 0x98c0a520,
-    0x4ba31548, 0x98bcee84,
-  0x4b9e0390, 0x98b93828, 0x4b98f1a9, 0x98b5820c, 0x4b93df93, 0x98b1cc30,
-    0x4b8ecd4f, 0x98ae1693,
-  0x4b89badd, 0x98aa6136, 0x4b84a83b, 0x98a6ac19, 0x4b7f956b, 0x98a2f73c,
-    0x4b7a826d, 0x989f429e,
-  0x4b756f40, 0x989b8e40, 0x4b705be4, 0x9897da22, 0x4b6b485a, 0x98942643,
-    0x4b6634a2, 0x989072a5,
-  0x4b6120bb, 0x988cbf46, 0x4b5c0ca5, 0x98890c27, 0x4b56f861, 0x98855948,
-    0x4b51e3ee, 0x9881a6a9,
-  0x4b4ccf4d, 0x987df449, 0x4b47ba7e, 0x987a422a, 0x4b42a580, 0x9876904a,
-    0x4b3d9053, 0x9872deaa,
-  0x4b387af9, 0x986f2d4a, 0x4b336570, 0x986b7c2a, 0x4b2e4fb8, 0x9867cb4a,
-    0x4b2939d2, 0x98641aa9,
-  0x4b2423be, 0x98606a49, 0x4b1f0d7b, 0x985cba28, 0x4b19f70a, 0x98590a48,
-    0x4b14e06b, 0x98555aa7,
-  0x4b0fc99d, 0x9851ab46, 0x4b0ab2a1, 0x984dfc26, 0x4b059b77, 0x984a4d45,
-    0x4b00841f, 0x98469ea4,
-  0x4afb6c98, 0x9842f043, 0x4af654e3, 0x983f4223, 0x4af13d00, 0x983b9442,
-    0x4aec24ee, 0x9837e6a1,
-  0x4ae70caf, 0x98343940, 0x4ae1f441, 0x98308c1f, 0x4adcdba5, 0x982cdf3f,
-    0x4ad7c2da, 0x9829329e,
-  0x4ad2a9e2, 0x9825863d, 0x4acd90bb, 0x9821da1d, 0x4ac87767, 0x981e2e3c,
-    0x4ac35de4, 0x981a829c,
-  0x4abe4433, 0x9816d73b, 0x4ab92a54, 0x98132c1b, 0x4ab41046, 0x980f813b,
-    0x4aaef60b, 0x980bd69b,
-  0x4aa9dba2, 0x98082c3b, 0x4aa4c10b, 0x9804821b, 0x4a9fa645, 0x9800d83c,
-    0x4a9a8b52, 0x97fd2e9c,
-  0x4a957030, 0x97f9853d, 0x4a9054e1, 0x97f5dc1e, 0x4a8b3963, 0x97f2333f,
-    0x4a861db8, 0x97ee8aa0,
-  0x4a8101de, 0x97eae242, 0x4a7be5d7, 0x97e73a23, 0x4a76c9a2, 0x97e39245,
-    0x4a71ad3e, 0x97dfeaa7,
-  0x4a6c90ad, 0x97dc4349, 0x4a6773ee, 0x97d89c2c, 0x4a625701, 0x97d4f54f,
-    0x4a5d39e6, 0x97d14eb2,
-  0x4a581c9e, 0x97cda855, 0x4a52ff27, 0x97ca0239, 0x4a4de182, 0x97c65c5c,
-    0x4a48c3b0, 0x97c2b6c1,
-  0x4a43a5b0, 0x97bf1165, 0x4a3e8782, 0x97bb6c4a, 0x4a396926, 0x97b7c76f,
-    0x4a344a9d, 0x97b422d4,
-  0x4a2f2be6, 0x97b07e7a, 0x4a2a0d01, 0x97acda60, 0x4a24edee, 0x97a93687,
-    0x4a1fcead, 0x97a592ed,
-  0x4a1aaf3f, 0x97a1ef94, 0x4a158fa3, 0x979e4c7c, 0x4a106fda, 0x979aa9a4,
-    0x4a0b4fe2, 0x9797070c,
-  0x4a062fbd, 0x979364b5, 0x4a010f6b, 0x978fc29e, 0x49fbeeea, 0x978c20c8,
-    0x49f6ce3c, 0x97887f32,
-  0x49f1ad61, 0x9784dddc, 0x49ec8c57, 0x97813cc7, 0x49e76b21, 0x977d9bf2,
-    0x49e249bc, 0x9779fb5e,
-  0x49dd282a, 0x97765b0a, 0x49d8066b, 0x9772baf7, 0x49d2e47e, 0x976f1b24,
-    0x49cdc263, 0x976b7b92,
-  0x49c8a01b, 0x9767dc41, 0x49c37da5, 0x97643d2f, 0x49be5b02, 0x97609e5f,
-    0x49b93832, 0x975cffcf,
-  0x49b41533, 0x9759617f, 0x49aef208, 0x9755c370, 0x49a9ceaf, 0x975225a1,
-    0x49a4ab28, 0x974e8813,
-  0x499f8774, 0x974aeac6, 0x499a6393, 0x97474db9, 0x49953f84, 0x9743b0ed,
-    0x49901b48, 0x97401462,
-  0x498af6df, 0x973c7817, 0x4985d248, 0x9738dc0d, 0x4980ad84, 0x97354043,
-    0x497b8892, 0x9731a4ba,
-  0x49766373, 0x972e0971, 0x49713e27, 0x972a6e6a, 0x496c18ae, 0x9726d3a3,
-    0x4966f307, 0x9723391c,
-  0x4961cd33, 0x971f9ed7, 0x495ca732, 0x971c04d2, 0x49578103, 0x97186b0d,
-    0x49525aa7, 0x9714d18a,
-  0x494d341e, 0x97113847, 0x49480d68, 0x970d9f45, 0x4942e684, 0x970a0683,
-    0x493dbf74, 0x97066e03,
-  0x49389836, 0x9702d5c3, 0x493370cb, 0x96ff3dc4, 0x492e4933, 0x96fba605,
-    0x4929216e, 0x96f80e88,
-  0x4923f97b, 0x96f4774b, 0x491ed15c, 0x96f0e04f, 0x4919a90f, 0x96ed4994,
-    0x49148095, 0x96e9b319,
-  0x490f57ee, 0x96e61ce0, 0x490a2f1b, 0x96e286e7, 0x4905061a, 0x96def12f,
-    0x48ffdcec, 0x96db5bb8,
-  0x48fab391, 0x96d7c682, 0x48f58a09, 0x96d4318d, 0x48f06054, 0x96d09cd8,
-    0x48eb3672, 0x96cd0865,
-  0x48e60c62, 0x96c97432, 0x48e0e227, 0x96c5e040, 0x48dbb7be, 0x96c24c8f,
-    0x48d68d28, 0x96beb91f,
-  0x48d16265, 0x96bb25f0, 0x48cc3775, 0x96b79302, 0x48c70c59, 0x96b40055,
-    0x48c1e10f, 0x96b06de9,
-  0x48bcb599, 0x96acdbbe, 0x48b789f5, 0x96a949d3, 0x48b25e25, 0x96a5b82a,
-    0x48ad3228, 0x96a226c2,
-  0x48a805ff, 0x969e959b, 0x48a2d9a8, 0x969b04b4, 0x489dad25, 0x9697740f,
-    0x48988074, 0x9693e3ab,
-  0x48935397, 0x96905388, 0x488e268e, 0x968cc3a5, 0x4888f957, 0x96893404,
-    0x4883cbf4, 0x9685a4a4,
-  0x487e9e64, 0x96821585, 0x487970a7, 0x967e86a7, 0x487442be, 0x967af80a,
-    0x486f14a8, 0x967769af,
-  0x4869e665, 0x9673db94, 0x4864b7f5, 0x96704dba, 0x485f8959, 0x966cc022,
-    0x485a5a90, 0x966932cb,
-  0x48552b9b, 0x9665a5b4, 0x484ffc79, 0x966218df, 0x484acd2a, 0x965e8c4b,
-    0x48459daf, 0x965afff9,
-  0x48406e08, 0x965773e7, 0x483b3e33, 0x9653e817, 0x48360e32, 0x96505c88,
-    0x4830de05, 0x964cd139,
-  0x482badab, 0x9649462d, 0x48267d24, 0x9645bb61, 0x48214c71, 0x964230d7,
-    0x481c1b92, 0x963ea68d,
-  0x4816ea86, 0x963b1c86, 0x4811b94d, 0x963792bf, 0x480c87e8, 0x96340939,
-    0x48075657, 0x96307ff5,
-  0x48022499, 0x962cf6f2, 0x47fcf2af, 0x96296e31, 0x47f7c099, 0x9625e5b0,
-    0x47f28e56, 0x96225d71,
-  0x47ed5be6, 0x961ed574, 0x47e8294a, 0x961b4db7, 0x47e2f682, 0x9617c63c,
-    0x47ddc38e, 0x96143f02,
-  0x47d8906d, 0x9610b80a, 0x47d35d20, 0x960d3153, 0x47ce29a7, 0x9609aadd,
-    0x47c8f601, 0x960624a9,
-  0x47c3c22f, 0x96029eb6, 0x47be8e31, 0x95ff1904, 0x47b95a06, 0x95fb9394,
-    0x47b425af, 0x95f80e65,
-  0x47aef12c, 0x95f48977, 0x47a9bc7d, 0x95f104cb, 0x47a487a2, 0x95ed8061,
-    0x479f529a, 0x95e9fc38,
-  0x479a1d67, 0x95e67850, 0x4794e807, 0x95e2f4a9, 0x478fb27b, 0x95df7145,
-    0x478a7cc2, 0x95dbee21,
-  0x478546de, 0x95d86b3f, 0x478010cd, 0x95d4e89f, 0x477ada91, 0x95d16640,
-    0x4775a428, 0x95cde423,
-  0x47706d93, 0x95ca6247, 0x476b36d3, 0x95c6e0ac, 0x4765ffe6, 0x95c35f53,
-    0x4760c8cd, 0x95bfde3c,
-  0x475b9188, 0x95bc5d66, 0x47565a17, 0x95b8dcd2, 0x4751227a, 0x95b55c7f,
-    0x474beab1, 0x95b1dc6e,
-  0x4746b2bc, 0x95ae5c9f, 0x47417a9b, 0x95aadd11, 0x473c424e, 0x95a75dc4,
-    0x473709d5, 0x95a3deb9,
-  0x4731d131, 0x95a05ff0, 0x472c9860, 0x959ce169, 0x47275f63, 0x95996323,
-    0x4722263b, 0x9595e51e,
-  0x471cece7, 0x9592675c, 0x4717b367, 0x958ee9db, 0x471279ba, 0x958b6c9b,
-    0x470d3fe3, 0x9587ef9e,
-  0x470805df, 0x958472e2, 0x4702cbaf, 0x9580f667, 0x46fd9154, 0x957d7a2f,
-    0x46f856cd, 0x9579fe38,
-  0x46f31c1a, 0x95768283, 0x46ede13b, 0x9573070f, 0x46e8a631, 0x956f8bdd,
-    0x46e36afb, 0x956c10ed,
-  0x46de2f99, 0x9568963f, 0x46d8f40b, 0x95651bd2, 0x46d3b852, 0x9561a1a8,
-    0x46ce7c6d, 0x955e27bf,
-  0x46c9405c, 0x955aae17, 0x46c40420, 0x955734b2, 0x46bec7b8, 0x9553bb8e,
-    0x46b98b24, 0x955042ac,
-  0x46b44e65, 0x954cca0c, 0x46af117a, 0x954951ae, 0x46a9d464, 0x9545d992,
-    0x46a49722, 0x954261b7,
-  0x469f59b4, 0x953eea1e, 0x469a1c1b, 0x953b72c7, 0x4694de56, 0x9537fbb2,
-    0x468fa066, 0x953484df,
-  0x468a624a, 0x95310e4e, 0x46852403, 0x952d97fe, 0x467fe590, 0x952a21f1,
-    0x467aa6f2, 0x9526ac25,
-  0x46756828, 0x9523369c, 0x46702933, 0x951fc154, 0x466aea12, 0x951c4c4e,
-    0x4665aac6, 0x9518d78a,
-  0x46606b4e, 0x95156308, 0x465b2bab, 0x9511eec8, 0x4655ebdd, 0x950e7aca,
-    0x4650abe3, 0x950b070e,
-  0x464b6bbe, 0x95079394, 0x46462b6d, 0x9504205c, 0x4640eaf2, 0x9500ad66,
-    0x463baa4a, 0x94fd3ab1,
-  0x46366978, 0x94f9c83f, 0x4631287a, 0x94f6560f, 0x462be751, 0x94f2e421,
-    0x4626a5fd, 0x94ef7275,
-  0x4621647d, 0x94ec010b, 0x461c22d2, 0x94e88fe3, 0x4616e0fc, 0x94e51efd,
-    0x46119efa, 0x94e1ae59,
-  0x460c5cce, 0x94de3df8, 0x46071a76, 0x94dacdd8, 0x4601d7f3, 0x94d75dfa,
-    0x45fc9545, 0x94d3ee5f,
-  0x45f7526b, 0x94d07f05, 0x45f20f67, 0x94cd0fee, 0x45eccc37, 0x94c9a119,
-    0x45e788dc, 0x94c63286,
-  0x45e24556, 0x94c2c435, 0x45dd01a5, 0x94bf5627, 0x45d7bdc9, 0x94bbe85a,
-    0x45d279c2, 0x94b87ad0,
-  0x45cd358f, 0x94b50d87, 0x45c7f132, 0x94b1a081, 0x45c2acaa, 0x94ae33be,
-    0x45bd67f6, 0x94aac73c,
-  0x45b82318, 0x94a75afd, 0x45b2de0e, 0x94a3eeff, 0x45ad98da, 0x94a08344,
-    0x45a8537a, 0x949d17cc,
-  0x45a30df0, 0x9499ac95, 0x459dc83b, 0x949641a1, 0x4598825a, 0x9492d6ef,
-    0x45933c4f, 0x948f6c7f,
-  0x458df619, 0x948c0252, 0x4588afb8, 0x94889867, 0x4583692c, 0x94852ebe,
-    0x457e2275, 0x9481c557,
-  0x4578db93, 0x947e5c33, 0x45739487, 0x947af351, 0x456e4d4f, 0x94778ab1,
-    0x456905ed, 0x94742254,
-  0x4563be60, 0x9470ba39, 0x455e76a8, 0x946d5260, 0x45592ec6, 0x9469eaca,
-    0x4553e6b8, 0x94668376,
-  0x454e9e80, 0x94631c65, 0x4549561d, 0x945fb596, 0x45440d90, 0x945c4f09,
-    0x453ec4d7, 0x9458e8bf,
-  0x45397bf4, 0x945582b7, 0x453432e6, 0x94521cf1, 0x452ee9ae, 0x944eb76e,
-    0x4529a04b, 0x944b522d,
-  0x452456bd, 0x9447ed2f, 0x451f0d04, 0x94448873, 0x4519c321, 0x944123fa,
-    0x45147913, 0x943dbfc3,
-  0x450f2edb, 0x943a5bcf, 0x4509e478, 0x9436f81d, 0x450499eb, 0x943394ad,
-    0x44ff4f32, 0x94303180,
-  0x44fa0450, 0x942cce96, 0x44f4b943, 0x94296bee, 0x44ef6e0b, 0x94260989,
-    0x44ea22a9, 0x9422a766,
-  0x44e4d71c, 0x941f4585, 0x44df8b64, 0x941be3e8, 0x44da3f83, 0x9418828c,
-    0x44d4f376, 0x94152174,
-  0x44cfa740, 0x9411c09e, 0x44ca5adf, 0x940e600a, 0x44c50e53, 0x940affb9,
-    0x44bfc19d, 0x94079fab,
-  0x44ba74bd, 0x94043fdf, 0x44b527b2, 0x9400e056, 0x44afda7d, 0x93fd810f,
-    0x44aa8d1d, 0x93fa220b,
-  0x44a53f93, 0x93f6c34a, 0x449ff1df, 0x93f364cb, 0x449aa400, 0x93f0068f,
-    0x449555f7, 0x93eca896,
-  0x449007c4, 0x93e94adf, 0x448ab967, 0x93e5ed6b, 0x44856adf, 0x93e2903a,
-    0x44801c2d, 0x93df334c,
-  0x447acd50, 0x93dbd6a0, 0x44757e4a, 0x93d87a36, 0x44702f19, 0x93d51e10,
-    0x446adfbe, 0x93d1c22c,
-  0x44659039, 0x93ce668b, 0x44604089, 0x93cb0b2d, 0x445af0b0, 0x93c7b011,
-    0x4455a0ac, 0x93c45539,
-  0x4450507e, 0x93c0faa3, 0x444b0026, 0x93bda04f, 0x4445afa4, 0x93ba463f,
-    0x44405ef8, 0x93b6ec71,
-  0x443b0e21, 0x93b392e6, 0x4435bd21, 0x93b0399e, 0x44306bf6, 0x93ace099,
-    0x442b1aa2, 0x93a987d6,
-  0x4425c923, 0x93a62f57, 0x4420777b, 0x93a2d71a, 0x441b25a8, 0x939f7f20,
-    0x4415d3ab, 0x939c2769,
-  0x44108184, 0x9398cff5, 0x440b2f34, 0x939578c3, 0x4405dcb9, 0x939221d5,
-    0x44008a14, 0x938ecb29,
-  0x43fb3746, 0x938b74c1, 0x43f5e44d, 0x93881e9b, 0x43f0912b, 0x9384c8b8,
-    0x43eb3ddf, 0x93817318,
-  0x43e5ea68, 0x937e1dbb, 0x43e096c8, 0x937ac8a1, 0x43db42fe, 0x937773ca,
-    0x43d5ef0a, 0x93741f35,
-  0x43d09aed, 0x9370cae4, 0x43cb46a5, 0x936d76d6, 0x43c5f234, 0x936a230a,
-    0x43c09d99, 0x9366cf82,
-  0x43bb48d4, 0x93637c3d, 0x43b5f3e5, 0x9360293a, 0x43b09ecc, 0x935cd67b,
-    0x43ab498a, 0x935983ff,
-  0x43a5f41e, 0x935631c5, 0x43a09e89, 0x9352dfcf, 0x439b48c9, 0x934f8e1c,
-    0x4395f2e0, 0x934c3cab,
-  0x43909ccd, 0x9348eb7e, 0x438b4691, 0x93459a94, 0x4385f02a, 0x934249ed,
-    0x4380999b, 0x933ef989,
-  0x437b42e1, 0x933ba968, 0x4375ebfe, 0x9338598a, 0x437094f1, 0x933509f0,
-    0x436b3dbb, 0x9331ba98,
-  0x4365e65b, 0x932e6b84, 0x43608ed2, 0x932b1cb2, 0x435b371f, 0x9327ce24,
-    0x4355df42, 0x93247fd9,
-  0x4350873c, 0x932131d1, 0x434b2f0c, 0x931de40c, 0x4345d6b3, 0x931a968b,
-    0x43407e31, 0x9317494c,
-  0x433b2585, 0x9313fc51, 0x4335ccaf, 0x9310af99, 0x433073b0, 0x930d6324,
-    0x432b1a87, 0x930a16f3,
-  0x4325c135, 0x9306cb04, 0x432067ba, 0x93037f59, 0x431b0e15, 0x930033f1,
-    0x4315b447, 0x92fce8cc,
-  0x43105a50, 0x92f99deb, 0x430b002f, 0x92f6534c, 0x4305a5e5, 0x92f308f1,
-    0x43004b71, 0x92efbeda,
-  0x42faf0d4, 0x92ec7505, 0x42f5960e, 0x92e92b74, 0x42f03b1e, 0x92e5e226,
-    0x42eae005, 0x92e2991c,
-  0x42e584c3, 0x92df5054, 0x42e02958, 0x92dc07d0, 0x42dacdc3, 0x92d8bf90,
-    0x42d57205, 0x92d57792,
-  0x42d0161e, 0x92d22fd9, 0x42caba0e, 0x92cee862, 0x42c55dd4, 0x92cba12f,
-    0x42c00172, 0x92c85a3f,
-  0x42baa4e6, 0x92c51392, 0x42b54831, 0x92c1cd29, 0x42afeb53, 0x92be8703,
-    0x42aa8e4b, 0x92bb4121,
-  0x42a5311b, 0x92b7fb82, 0x429fd3c1, 0x92b4b626, 0x429a763f, 0x92b1710e,
-    0x42951893, 0x92ae2c3a,
-  0x428fbabe, 0x92aae7a8, 0x428a5cc0, 0x92a7a35a, 0x4284fe99, 0x92a45f50,
-    0x427fa049, 0x92a11b89,
-  0x427a41d0, 0x929dd806, 0x4274e32e, 0x929a94c6, 0x426f8463, 0x929751c9,
-    0x426a256f, 0x92940f10,
-  0x4264c653, 0x9290cc9b, 0x425f670d, 0x928d8a69, 0x425a079e, 0x928a487a,
-    0x4254a806, 0x928706cf,
-  0x424f4845, 0x9283c568, 0x4249e85c, 0x92808444, 0x42448849, 0x927d4363,
-    0x423f280e, 0x927a02c7,
-  0x4239c7aa, 0x9276c26d, 0x4234671d, 0x92738258, 0x422f0667, 0x92704286,
-    0x4229a588, 0x926d02f7,
-  0x42244481, 0x9269c3ac, 0x421ee350, 0x926684a5, 0x421981f7, 0x926345e1,
-    0x42142075, 0x92600761,
-  0x420ebecb, 0x925cc924, 0x42095cf7, 0x92598b2b, 0x4203fafb, 0x92564d76,
-    0x41fe98d6, 0x92531005,
-  0x41f93689, 0x924fd2d7, 0x41f3d413, 0x924c95ec, 0x41ee7174, 0x92495946,
-    0x41e90eac, 0x92461ce3,
-  0x41e3abbc, 0x9242e0c4, 0x41de48a3, 0x923fa4e8, 0x41d8e561, 0x923c6950,
-    0x41d381f7, 0x92392dfc,
-  0x41ce1e65, 0x9235f2ec, 0x41c8baa9, 0x9232b81f, 0x41c356c5, 0x922f7d96,
-    0x41bdf2b9, 0x922c4351,
-  0x41b88e84, 0x9229094f, 0x41b32a26, 0x9225cf91, 0x41adc5a0, 0x92229617,
-    0x41a860f1, 0x921f5ce1,
-  0x41a2fc1a, 0x921c23ef, 0x419d971b, 0x9218eb40, 0x419831f3, 0x9215b2d5,
-    0x4192cca2, 0x92127aae,
-  0x418d6729, 0x920f42cb, 0x41880188, 0x920c0b2c, 0x41829bbe, 0x9208d3d0,
-    0x417d35cb, 0x92059cb8,
-  0x4177cfb1, 0x920265e4, 0x4172696e, 0x91ff2f54, 0x416d0302, 0x91fbf908,
-    0x41679c6f, 0x91f8c300,
-  0x416235b2, 0x91f58d3b, 0x415ccece, 0x91f257bb, 0x415767c1, 0x91ef227e,
-    0x4152008c, 0x91ebed85,
-  0x414c992f, 0x91e8b8d0, 0x414731a9, 0x91e5845f, 0x4141c9fb, 0x91e25032,
-    0x413c6225, 0x91df1c49,
-  0x4136fa27, 0x91dbe8a4, 0x41319200, 0x91d8b542, 0x412c29b1, 0x91d58225,
-    0x4126c13a, 0x91d24f4c,
-  0x4121589b, 0x91cf1cb6, 0x411befd3, 0x91cbea65, 0x411686e4, 0x91c8b857,
-    0x41111dcc, 0x91c5868e,
-  0x410bb48c, 0x91c25508, 0x41064b24, 0x91bf23c7, 0x4100e194, 0x91bbf2c9,
-    0x40fb77dc, 0x91b8c210,
-  0x40f60dfb, 0x91b5919a, 0x40f0a3f3, 0x91b26169, 0x40eb39c3, 0x91af317c,
-    0x40e5cf6a, 0x91ac01d2,
-  0x40e064ea, 0x91a8d26d, 0x40dafa41, 0x91a5a34c, 0x40d58f71, 0x91a2746f,
-    0x40d02478, 0x919f45d6,
-  0x40cab958, 0x919c1781, 0x40c54e0f, 0x9198e970, 0x40bfe29f, 0x9195bba3,
-    0x40ba7706, 0x91928e1a,
-  0x40b50b46, 0x918f60d6, 0x40af9f5e, 0x918c33d5, 0x40aa334e, 0x91890719,
-    0x40a4c716, 0x9185daa1,
-  0x409f5ab6, 0x9182ae6d, 0x4099ee2e, 0x917f827d, 0x4094817f, 0x917c56d1,
-    0x408f14a7, 0x91792b6a,
-  0x4089a7a8, 0x91760047, 0x40843a81, 0x9172d567, 0x407ecd32, 0x916faacc,
-    0x40795fbc, 0x916c8076,
-  0x4073f21d, 0x91695663, 0x406e8457, 0x91662c95, 0x40691669, 0x9163030b,
-    0x4063a854, 0x915fd9c5,
-  0x405e3a16, 0x915cb0c3, 0x4058cbb1, 0x91598806, 0x40535d24, 0x91565f8d,
-    0x404dee70, 0x91533758,
-  0x40487f94, 0x91500f67, 0x40431090, 0x914ce7bb, 0x403da165, 0x9149c053,
-    0x40383212, 0x9146992f,
-  0x4032c297, 0x91437250, 0x402d52f5, 0x91404bb5, 0x4027e32b, 0x913d255e,
-    0x4022733a, 0x9139ff4b,
-  0x401d0321, 0x9136d97d, 0x401792e0, 0x9133b3f3, 0x40122278, 0x91308eae,
-    0x400cb1e9, 0x912d69ad,
-  0x40074132, 0x912a44f0, 0x4001d053, 0x91272078, 0x3ffc5f4d, 0x9123fc44,
-    0x3ff6ee1f, 0x9120d854,
-  0x3ff17cca, 0x911db4a9, 0x3fec0b4e, 0x911a9142, 0x3fe699aa, 0x91176e1f,
-    0x3fe127df, 0x91144b41,
-  0x3fdbb5ec, 0x911128a8, 0x3fd643d2, 0x910e0653, 0x3fd0d191, 0x910ae442,
-    0x3fcb5f28, 0x9107c276,
-  0x3fc5ec98, 0x9104a0ee, 0x3fc079e0, 0x91017faa, 0x3fbb0702, 0x90fe5eab,
-    0x3fb593fb, 0x90fb3df1,
-  0x3fb020ce, 0x90f81d7b, 0x3faaad79, 0x90f4fd4a, 0x3fa539fd, 0x90f1dd5d,
-    0x3f9fc65a, 0x90eebdb4,
-  0x3f9a5290, 0x90eb9e50, 0x3f94de9e, 0x90e87f31, 0x3f8f6a85, 0x90e56056,
-    0x3f89f645, 0x90e241bf,
-  0x3f8481dd, 0x90df236e, 0x3f7f0d4f, 0x90dc0560, 0x3f799899, 0x90d8e798,
-    0x3f7423bc, 0x90d5ca13,
-  0x3f6eaeb8, 0x90d2acd4, 0x3f69398d, 0x90cf8fd9, 0x3f63c43b, 0x90cc7322,
-    0x3f5e4ec2, 0x90c956b1,
-  0x3f58d921, 0x90c63a83, 0x3f53635a, 0x90c31e9b, 0x3f4ded6b, 0x90c002f7,
-    0x3f487755, 0x90bce797,
-  0x3f430119, 0x90b9cc7d, 0x3f3d8ab5, 0x90b6b1a6, 0x3f38142a, 0x90b39715,
-    0x3f329d79, 0x90b07cc8,
-  0x3f2d26a0, 0x90ad62c0, 0x3f27afa1, 0x90aa48fd, 0x3f22387a, 0x90a72f7e,
-    0x3f1cc12c, 0x90a41644,
-  0x3f1749b8, 0x90a0fd4e, 0x3f11d21d, 0x909de49e, 0x3f0c5a5a, 0x909acc32,
-    0x3f06e271, 0x9097b40a,
-  0x3f016a61, 0x90949c28, 0x3efbf22a, 0x9091848a, 0x3ef679cc, 0x908e6d31,
-    0x3ef10148, 0x908b561c,
-  0x3eeb889c, 0x90883f4d, 0x3ee60fca, 0x908528c2, 0x3ee096d1, 0x9082127c,
-    0x3edb1db1, 0x907efc7a,
-  0x3ed5a46b, 0x907be6be, 0x3ed02afd, 0x9078d146, 0x3ecab169, 0x9075bc13,
-    0x3ec537ae, 0x9072a725,
-  0x3ebfbdcd, 0x906f927c, 0x3eba43c4, 0x906c7e17, 0x3eb4c995, 0x906969f8,
-    0x3eaf4f40, 0x9066561d,
-  0x3ea9d4c3, 0x90634287, 0x3ea45a21, 0x90602f35, 0x3e9edf57, 0x905d1c29,
-    0x3e996467, 0x905a0962,
-  0x3e93e950, 0x9056f6df, 0x3e8e6e12, 0x9053e4a1, 0x3e88f2ae, 0x9050d2a9,
-    0x3e837724, 0x904dc0f5,
-  0x3e7dfb73, 0x904aaf86, 0x3e787f9b, 0x90479e5c, 0x3e73039d, 0x90448d76,
-    0x3e6d8778, 0x90417cd6,
-  0x3e680b2c, 0x903e6c7b, 0x3e628ebb, 0x903b5c64, 0x3e5d1222, 0x90384c93,
-    0x3e579564, 0x90353d06,
-  0x3e52187f, 0x90322dbf, 0x3e4c9b73, 0x902f1ebc, 0x3e471e41, 0x902c0fff,
-    0x3e41a0e8, 0x90290186,
-  0x3e3c2369, 0x9025f352, 0x3e36a5c4, 0x9022e564, 0x3e3127f9, 0x901fd7ba,
-    0x3e2baa07, 0x901cca55,
-  0x3e262bee, 0x9019bd36, 0x3e20adaf, 0x9016b05b, 0x3e1b2f4a, 0x9013a3c5,
-    0x3e15b0bf, 0x90109775,
-  0x3e10320d, 0x900d8b69, 0x3e0ab336, 0x900a7fa3, 0x3e053437, 0x90077422,
-    0x3dffb513, 0x900468e5,
-  0x3dfa35c8, 0x90015dee, 0x3df4b657, 0x8ffe533c, 0x3def36c0, 0x8ffb48cf,
-    0x3de9b703, 0x8ff83ea7,
-  0x3de4371f, 0x8ff534c4, 0x3ddeb716, 0x8ff22b26, 0x3dd936e6, 0x8fef21ce,
-    0x3dd3b690, 0x8fec18ba,
-  0x3dce3614, 0x8fe90fec, 0x3dc8b571, 0x8fe60763, 0x3dc334a9, 0x8fe2ff1f,
-    0x3dbdb3ba, 0x8fdff720,
-  0x3db832a6, 0x8fdcef66, 0x3db2b16b, 0x8fd9e7f2, 0x3dad300b, 0x8fd6e0c2,
-    0x3da7ae84, 0x8fd3d9d8,
-  0x3da22cd7, 0x8fd0d333, 0x3d9cab04, 0x8fcdccd3, 0x3d97290b, 0x8fcac6b9,
-    0x3d91a6ed, 0x8fc7c0e3,
-  0x3d8c24a8, 0x8fc4bb53, 0x3d86a23d, 0x8fc1b608, 0x3d811fac, 0x8fbeb103,
-    0x3d7b9cf6, 0x8fbbac42,
-  0x3d761a19, 0x8fb8a7c7, 0x3d709717, 0x8fb5a391, 0x3d6b13ee, 0x8fb29fa0,
-    0x3d6590a0, 0x8faf9bf5,
-  0x3d600d2c, 0x8fac988f, 0x3d5a8992, 0x8fa9956e, 0x3d5505d2, 0x8fa69293,
-    0x3d4f81ec, 0x8fa38ffc,
-  0x3d49fde1, 0x8fa08dab, 0x3d4479b0, 0x8f9d8ba0, 0x3d3ef559, 0x8f9a89da,
-    0x3d3970dc, 0x8f978859,
-  0x3d33ec39, 0x8f94871d, 0x3d2e6771, 0x8f918627, 0x3d28e282, 0x8f8e8576,
-    0x3d235d6f, 0x8f8b850a,
-  0x3d1dd835, 0x8f8884e4, 0x3d1852d6, 0x8f858503, 0x3d12cd51, 0x8f828568,
-    0x3d0d47a6, 0x8f7f8612,
-  0x3d07c1d6, 0x8f7c8701, 0x3d023be0, 0x8f798836, 0x3cfcb5c4, 0x8f7689b0,
-    0x3cf72f83, 0x8f738b70,
-  0x3cf1a91c, 0x8f708d75, 0x3cec2290, 0x8f6d8fbf, 0x3ce69bde, 0x8f6a924f,
-    0x3ce11507, 0x8f679525,
-  0x3cdb8e09, 0x8f649840, 0x3cd606e7, 0x8f619ba0, 0x3cd07f9f, 0x8f5e9f46,
-    0x3ccaf831, 0x8f5ba331,
-  0x3cc5709e, 0x8f58a761, 0x3cbfe8e5, 0x8f55abd8, 0x3cba6107, 0x8f52b093,
-    0x3cb4d904, 0x8f4fb595,
-  0x3caf50da, 0x8f4cbadb, 0x3ca9c88c, 0x8f49c067, 0x3ca44018, 0x8f46c639,
-    0x3c9eb77f, 0x8f43cc50,
-  0x3c992ec0, 0x8f40d2ad, 0x3c93a5dc, 0x8f3dd950, 0x3c8e1cd3, 0x8f3ae038,
-    0x3c8893a4, 0x8f37e765,
-  0x3c830a50, 0x8f34eed8, 0x3c7d80d6, 0x8f31f691, 0x3c77f737, 0x8f2efe8f,
-    0x3c726d73, 0x8f2c06d3,
-  0x3c6ce38a, 0x8f290f5c, 0x3c67597b, 0x8f26182b, 0x3c61cf48, 0x8f232140,
-    0x3c5c44ee, 0x8f202a9a,
-  0x3c56ba70, 0x8f1d343a, 0x3c512fcc, 0x8f1a3e1f, 0x3c4ba504, 0x8f17484b,
-    0x3c461a16, 0x8f1452bb,
-  0x3c408f03, 0x8f115d72, 0x3c3b03ca, 0x8f0e686e, 0x3c35786d, 0x8f0b73b0,
-    0x3c2fecea, 0x8f087f37,
-  0x3c2a6142, 0x8f058b04, 0x3c24d575, 0x8f029717, 0x3c1f4983, 0x8effa370,
-    0x3c19bd6c, 0x8efcb00e,
-  0x3c143130, 0x8ef9bcf2, 0x3c0ea4cf, 0x8ef6ca1c, 0x3c091849, 0x8ef3d78b,
-    0x3c038b9e, 0x8ef0e540,
-  0x3bfdfecd, 0x8eedf33b, 0x3bf871d8, 0x8eeb017c, 0x3bf2e4be, 0x8ee81002,
-    0x3bed577e, 0x8ee51ece,
-  0x3be7ca1a, 0x8ee22de0, 0x3be23c91, 0x8edf3d38, 0x3bdcaee3, 0x8edc4cd5,
-    0x3bd72110, 0x8ed95cb8,
-  0x3bd19318, 0x8ed66ce1, 0x3bcc04fb, 0x8ed37d50, 0x3bc676b9, 0x8ed08e05,
-    0x3bc0e853, 0x8ecd9eff,
-  0x3bbb59c7, 0x8ecab040, 0x3bb5cb17, 0x8ec7c1c6, 0x3bb03c42, 0x8ec4d392,
-    0x3baaad48, 0x8ec1e5a4,
-  0x3ba51e29, 0x8ebef7fb, 0x3b9f8ee5, 0x8ebc0a99, 0x3b99ff7d, 0x8eb91d7c,
-    0x3b946ff0, 0x8eb630a6,
-  0x3b8ee03e, 0x8eb34415, 0x3b895068, 0x8eb057ca, 0x3b83c06c, 0x8ead6bc5,
-    0x3b7e304c, 0x8eaa8006,
-  0x3b78a007, 0x8ea7948c, 0x3b730f9e, 0x8ea4a959, 0x3b6d7f10, 0x8ea1be6c,
-    0x3b67ee5d, 0x8e9ed3c4,
-  0x3b625d86, 0x8e9be963, 0x3b5ccc8a, 0x8e98ff47, 0x3b573b69, 0x8e961571,
-    0x3b51aa24, 0x8e932be2,
-  0x3b4c18ba, 0x8e904298, 0x3b46872c, 0x8e8d5994, 0x3b40f579, 0x8e8a70d7,
-    0x3b3b63a1, 0x8e87885f,
-  0x3b35d1a5, 0x8e84a02d, 0x3b303f84, 0x8e81b841, 0x3b2aad3f, 0x8e7ed09b,
-    0x3b251ad6, 0x8e7be93c,
-  0x3b1f8848, 0x8e790222, 0x3b19f595, 0x8e761b4e, 0x3b1462be, 0x8e7334c1,
-    0x3b0ecfc3, 0x8e704e79,
-  0x3b093ca3, 0x8e6d6877, 0x3b03a95e, 0x8e6a82bc, 0x3afe15f6, 0x8e679d47,
-    0x3af88269, 0x8e64b817,
-  0x3af2eeb7, 0x8e61d32e, 0x3aed5ae1, 0x8e5eee8b, 0x3ae7c6e7, 0x8e5c0a2e,
-    0x3ae232c9, 0x8e592617,
-  0x3adc9e86, 0x8e564246, 0x3ad70a1f, 0x8e535ebb, 0x3ad17593, 0x8e507b76,
-    0x3acbe0e3, 0x8e4d9878,
-  0x3ac64c0f, 0x8e4ab5bf, 0x3ac0b717, 0x8e47d34d, 0x3abb21fb, 0x8e44f121,
-    0x3ab58cba, 0x8e420f3b,
-  0x3aaff755, 0x8e3f2d9b, 0x3aaa61cc, 0x8e3c4c41, 0x3aa4cc1e, 0x8e396b2e,
-    0x3a9f364d, 0x8e368a61,
-  0x3a99a057, 0x8e33a9da, 0x3a940a3e, 0x8e30c999, 0x3a8e7400, 0x8e2de99e,
-    0x3a88dd9d, 0x8e2b09e9,
-  0x3a834717, 0x8e282a7b, 0x3a7db06d, 0x8e254b53, 0x3a78199f, 0x8e226c71,
-    0x3a7282ac, 0x8e1f8dd6,
-  0x3a6ceb96, 0x8e1caf80, 0x3a67545b, 0x8e19d171, 0x3a61bcfd, 0x8e16f3a9,
-    0x3a5c257a, 0x8e141626,
-  0x3a568dd4, 0x8e1138ea, 0x3a50f609, 0x8e0e5bf4, 0x3a4b5e1b, 0x8e0b7f44,
-    0x3a45c608, 0x8e08a2db,
-  0x3a402dd2, 0x8e05c6b7, 0x3a3a9577, 0x8e02eadb, 0x3a34fcf9, 0x8e000f44,
-    0x3a2f6457, 0x8dfd33f4,
-  0x3a29cb91, 0x8dfa58ea, 0x3a2432a7, 0x8df77e27, 0x3a1e9999, 0x8df4a3a9,
-    0x3a190068, 0x8df1c973,
-  0x3a136712, 0x8deeef82, 0x3a0dcd99, 0x8dec15d8, 0x3a0833fc, 0x8de93c74,
-    0x3a029a3b, 0x8de66357,
-  0x39fd0056, 0x8de38a80, 0x39f7664e, 0x8de0b1ef, 0x39f1cc21, 0x8dddd9a5,
-    0x39ec31d1, 0x8ddb01a1,
-  0x39e6975e, 0x8dd829e4, 0x39e0fcc6, 0x8dd5526d, 0x39db620b, 0x8dd27b3c,
-    0x39d5c72c, 0x8dcfa452,
-  0x39d02c2a, 0x8dcccdaf, 0x39ca9104, 0x8dc9f751, 0x39c4f5ba, 0x8dc7213b,
-    0x39bf5a4d, 0x8dc44b6a,
-  0x39b9bebc, 0x8dc175e0, 0x39b42307, 0x8dbea09d, 0x39ae872f, 0x8dbbcba0,
-    0x39a8eb33, 0x8db8f6ea,
-  0x39a34f13, 0x8db6227a, 0x399db2d0, 0x8db34e50, 0x3998166a, 0x8db07a6d,
-    0x399279e0, 0x8dada6d1,
-  0x398cdd32, 0x8daad37b, 0x39874061, 0x8da8006c, 0x3981a36d, 0x8da52da3,
-    0x397c0655, 0x8da25b21,
-  0x39766919, 0x8d9f88e5, 0x3970cbba, 0x8d9cb6f0, 0x396b2e38, 0x8d99e541,
-    0x39659092, 0x8d9713d9,
-  0x395ff2c9, 0x8d9442b8, 0x395a54dd, 0x8d9171dd, 0x3954b6cd, 0x8d8ea148,
-    0x394f1899, 0x8d8bd0fb,
-  0x39497a43, 0x8d8900f3, 0x3943dbc9, 0x8d863133, 0x393e3d2c, 0x8d8361b9,
-    0x39389e6b, 0x8d809286,
-  0x3932ff87, 0x8d7dc399, 0x392d6080, 0x8d7af4f3, 0x3927c155, 0x8d782694,
-    0x39222208, 0x8d75587b,
-  0x391c8297, 0x8d728aa9, 0x3916e303, 0x8d6fbd1d, 0x3911434b, 0x8d6cefd9,
-    0x390ba371, 0x8d6a22db,
-  0x39060373, 0x8d675623, 0x39006352, 0x8d6489b3, 0x38fac30e, 0x8d61bd89,
-    0x38f522a6, 0x8d5ef1a5,
-  0x38ef821c, 0x8d5c2609, 0x38e9e16e, 0x8d595ab3, 0x38e4409e, 0x8d568fa4,
-    0x38de9faa, 0x8d53c4db,
-  0x38d8fe93, 0x8d50fa59, 0x38d35d59, 0x8d4e301f, 0x38cdbbfc, 0x8d4b662a,
-    0x38c81a7c, 0x8d489c7d,
-  0x38c278d9, 0x8d45d316, 0x38bcd713, 0x8d4309f6, 0x38b7352a, 0x8d40411d,
-    0x38b1931e, 0x8d3d788b,
-  0x38abf0ef, 0x8d3ab03f, 0x38a64e9d, 0x8d37e83a, 0x38a0ac29, 0x8d35207d,
-    0x389b0991, 0x8d325905,
-  0x389566d6, 0x8d2f91d5, 0x388fc3f8, 0x8d2ccaec, 0x388a20f8, 0x8d2a0449,
-    0x38847dd5, 0x8d273ded,
-  0x387eda8e, 0x8d2477d8, 0x38793725, 0x8d21b20a, 0x38739399, 0x8d1eec83,
-    0x386defeb, 0x8d1c2742,
-  0x38684c19, 0x8d196249, 0x3862a825, 0x8d169d96, 0x385d040d, 0x8d13d92a,
-    0x38575fd4, 0x8d111505,
-  0x3851bb77, 0x8d0e5127, 0x384c16f7, 0x8d0b8d90, 0x38467255, 0x8d08ca40,
-    0x3840cd90, 0x8d060737,
-  0x383b28a9, 0x8d034474, 0x3835839f, 0x8d0081f9, 0x382fde72, 0x8cfdbfc4,
-    0x382a3922, 0x8cfafdd7,
-  0x382493b0, 0x8cf83c30, 0x381eee1b, 0x8cf57ad0, 0x38194864, 0x8cf2b9b8,
-    0x3813a28a, 0x8ceff8e6,
-  0x380dfc8d, 0x8ced385b, 0x3808566e, 0x8cea7818, 0x3802b02c, 0x8ce7b81b,
-    0x37fd09c8, 0x8ce4f865,
-  0x37f76341, 0x8ce238f6, 0x37f1bc97, 0x8cdf79ce, 0x37ec15cb, 0x8cdcbaee,
-    0x37e66edd, 0x8cd9fc54,
-  0x37e0c7cc, 0x8cd73e01, 0x37db2099, 0x8cd47ff6, 0x37d57943, 0x8cd1c231,
-    0x37cfd1cb, 0x8ccf04b3,
-  0x37ca2a30, 0x8ccc477d, 0x37c48273, 0x8cc98a8e, 0x37beda93, 0x8cc6cde5,
-    0x37b93292, 0x8cc41184,
-  0x37b38a6d, 0x8cc1556a, 0x37ade227, 0x8cbe9996, 0x37a839be, 0x8cbbde0a,
-    0x37a29132, 0x8cb922c6,
-  0x379ce885, 0x8cb667c8, 0x37973fb5, 0x8cb3ad11, 0x379196c3, 0x8cb0f2a1,
-    0x378bedae, 0x8cae3879,
-  0x37864477, 0x8cab7e98, 0x37809b1e, 0x8ca8c4fd, 0x377af1a3, 0x8ca60baa,
-    0x37754806, 0x8ca3529f,
-  0x376f9e46, 0x8ca099da, 0x3769f464, 0x8c9de15c, 0x37644a60, 0x8c9b2926,
-    0x375ea03a, 0x8c987137,
-  0x3758f5f2, 0x8c95b98f, 0x37534b87, 0x8c93022e, 0x374da0fa, 0x8c904b14,
-    0x3747f64c, 0x8c8d9442,
-  0x37424b7b, 0x8c8addb7, 0x373ca088, 0x8c882773, 0x3736f573, 0x8c857176,
-    0x37314a3c, 0x8c82bbc0,
-  0x372b9ee3, 0x8c800652, 0x3725f367, 0x8c7d512b, 0x372047ca, 0x8c7a9c4b,
-    0x371a9c0b, 0x8c77e7b3,
-  0x3714f02a, 0x8c753362, 0x370f4427, 0x8c727f58, 0x37099802, 0x8c6fcb95,
-    0x3703ebbb, 0x8c6d181a,
-  0x36fe3f52, 0x8c6a64e5, 0x36f892c7, 0x8c67b1f9, 0x36f2e61a, 0x8c64ff53,
-    0x36ed394b, 0x8c624cf5,
-  0x36e78c5b, 0x8c5f9ade, 0x36e1df48, 0x8c5ce90e, 0x36dc3214, 0x8c5a3786,
-    0x36d684be, 0x8c578645,
-  0x36d0d746, 0x8c54d54c, 0x36cb29ac, 0x8c522499, 0x36c57bf0, 0x8c4f742f,
-    0x36bfce13, 0x8c4cc40b,
-  0x36ba2014, 0x8c4a142f, 0x36b471f3, 0x8c47649a, 0x36aec3b0, 0x8c44b54d,
-    0x36a9154c, 0x8c420647,
-  0x36a366c6, 0x8c3f5788, 0x369db81e, 0x8c3ca911, 0x36980954, 0x8c39fae1,
-    0x36925a69, 0x8c374cf9,
-  0x368cab5c, 0x8c349f58, 0x3686fc2e, 0x8c31f1ff, 0x36814cde, 0x8c2f44ed,
-    0x367b9d6c, 0x8c2c9822,
-  0x3675edd9, 0x8c29eb9f, 0x36703e24, 0x8c273f63, 0x366a8e4d, 0x8c24936f,
-    0x3664de55, 0x8c21e7c2,
-  0x365f2e3b, 0x8c1f3c5d, 0x36597e00, 0x8c1c913f, 0x3653cda3, 0x8c19e669,
-    0x364e1d25, 0x8c173bda,
-  0x36486c86, 0x8c149192, 0x3642bbc4, 0x8c11e792, 0x363d0ae2, 0x8c0f3dda,
-    0x363759de, 0x8c0c9469,
-  0x3631a8b8, 0x8c09eb40, 0x362bf771, 0x8c07425e, 0x36264609, 0x8c0499c4,
-    0x3620947f, 0x8c01f171,
-  0x361ae2d3, 0x8bff4966, 0x36153107, 0x8bfca1a3, 0x360f7f19, 0x8bf9fa27,
-    0x3609cd0a, 0x8bf752f2,
-  0x36041ad9, 0x8bf4ac05, 0x35fe6887, 0x8bf20560, 0x35f8b614, 0x8bef5f02,
-    0x35f3037f, 0x8becb8ec,
-  0x35ed50c9, 0x8bea131e, 0x35e79df2, 0x8be76d97, 0x35e1eafa, 0x8be4c857,
-    0x35dc37e0, 0x8be22360,
-  0x35d684a6, 0x8bdf7eb0, 0x35d0d14a, 0x8bdcda47, 0x35cb1dcc, 0x8bda3626,
-    0x35c56a2e, 0x8bd7924d,
-  0x35bfb66e, 0x8bd4eebc, 0x35ba028e, 0x8bd24b72, 0x35b44e8c, 0x8bcfa870,
-    0x35ae9a69, 0x8bcd05b5,
-  0x35a8e625, 0x8bca6343, 0x35a331c0, 0x8bc7c117, 0x359d7d39, 0x8bc51f34,
-    0x3597c892, 0x8bc27d98,
-  0x359213c9, 0x8bbfdc44, 0x358c5ee0, 0x8bbd3b38, 0x3586a9d5, 0x8bba9a73,
-    0x3580f4aa, 0x8bb7f9f6,
-  0x357b3f5d, 0x8bb559c1, 0x357589f0, 0x8bb2b9d4, 0x356fd461, 0x8bb01a2e,
-    0x356a1eb2, 0x8bad7ad0,
-  0x356468e2, 0x8baadbba, 0x355eb2f0, 0x8ba83cec, 0x3558fcde, 0x8ba59e65,
-    0x355346ab, 0x8ba30026,
-  0x354d9057, 0x8ba0622f, 0x3547d9e2, 0x8b9dc480, 0x3542234c, 0x8b9b2718,
-    0x353c6c95, 0x8b9889f8,
-  0x3536b5be, 0x8b95ed21, 0x3530fec6, 0x8b935090, 0x352b47ad, 0x8b90b448,
-    0x35259073, 0x8b8e1848,
-  0x351fd918, 0x8b8b7c8f, 0x351a219c, 0x8b88e11e, 0x35146a00, 0x8b8645f5,
-    0x350eb243, 0x8b83ab14,
-  0x3508fa66, 0x8b81107b, 0x35034267, 0x8b7e7629, 0x34fd8a48, 0x8b7bdc20,
-    0x34f7d208, 0x8b79425e,
-  0x34f219a8, 0x8b76a8e4, 0x34ec6127, 0x8b740fb3, 0x34e6a885, 0x8b7176c8,
-    0x34e0efc2, 0x8b6ede26,
-  0x34db36df, 0x8b6c45cc, 0x34d57ddc, 0x8b69adba, 0x34cfc4b7, 0x8b6715ef,
-    0x34ca0b73, 0x8b647e6d,
-  0x34c4520d, 0x8b61e733, 0x34be9887, 0x8b5f5040, 0x34b8dee1, 0x8b5cb995,
-    0x34b3251a, 0x8b5a2333,
-  0x34ad6b32, 0x8b578d18, 0x34a7b12a, 0x8b54f745, 0x34a1f702, 0x8b5261ba,
-    0x349c3cb9, 0x8b4fcc77,
-  0x34968250, 0x8b4d377c, 0x3490c7c6, 0x8b4aa2ca, 0x348b0d1c, 0x8b480e5f,
-    0x34855251, 0x8b457a3c,
-  0x347f9766, 0x8b42e661, 0x3479dc5b, 0x8b4052ce, 0x3474212f, 0x8b3dbf83,
-    0x346e65e3, 0x8b3b2c80,
-  0x3468aa76, 0x8b3899c6, 0x3462eee9, 0x8b360753, 0x345d333c, 0x8b337528,
-    0x3457776f, 0x8b30e345,
-  0x3451bb81, 0x8b2e51ab, 0x344bff73, 0x8b2bc058, 0x34464345, 0x8b292f4e,
-    0x344086f6, 0x8b269e8b,
-  0x343aca87, 0x8b240e11, 0x34350df8, 0x8b217ddf, 0x342f5149, 0x8b1eedf4,
-    0x3429947a, 0x8b1c5e52,
-  0x3423d78a, 0x8b19cef8, 0x341e1a7b, 0x8b173fe6, 0x34185d4b, 0x8b14b11d,
-    0x34129ffb, 0x8b12229b,
-  0x340ce28b, 0x8b0f9462, 0x340724fb, 0x8b0d0670, 0x3401674a, 0x8b0a78c7,
-    0x33fba97a, 0x8b07eb66,
-  0x33f5eb89, 0x8b055e4d, 0x33f02d79, 0x8b02d17c, 0x33ea6f48, 0x8b0044f3,
-    0x33e4b0f8, 0x8afdb8b3,
-  0x33def287, 0x8afb2cbb, 0x33d933f7, 0x8af8a10b, 0x33d37546, 0x8af615a3,
-    0x33cdb676, 0x8af38a83,
-  0x33c7f785, 0x8af0ffac, 0x33c23875, 0x8aee751c, 0x33bc7944, 0x8aebead5,
-    0x33b6b9f4, 0x8ae960d6,
-  0x33b0fa84, 0x8ae6d720, 0x33ab3af4, 0x8ae44db1, 0x33a57b44, 0x8ae1c48b,
-    0x339fbb74, 0x8adf3bad,
-  0x3399fb85, 0x8adcb318, 0x33943b75, 0x8ada2aca, 0x338e7b46, 0x8ad7a2c5,
-    0x3388baf7, 0x8ad51b08,
-  0x3382fa88, 0x8ad29394, 0x337d39f9, 0x8ad00c67, 0x3377794b, 0x8acd8583,
-    0x3371b87d, 0x8acafee8,
-  0x336bf78f, 0x8ac87894, 0x33663682, 0x8ac5f289, 0x33607554, 0x8ac36cc6,
-    0x335ab407, 0x8ac0e74c,
-  0x3354f29b, 0x8abe6219, 0x334f310e, 0x8abbdd30, 0x33496f62, 0x8ab9588e,
-    0x3343ad97, 0x8ab6d435,
-  0x333debab, 0x8ab45024, 0x333829a1, 0x8ab1cc5c, 0x33326776, 0x8aaf48db,
-    0x332ca52c, 0x8aacc5a4,
-  0x3326e2c3, 0x8aaa42b4, 0x33212039, 0x8aa7c00d, 0x331b5d91, 0x8aa53daf,
-    0x33159ac8, 0x8aa2bb99,
-  0x330fd7e1, 0x8aa039cb, 0x330a14da, 0x8a9db845, 0x330451b3, 0x8a9b3708,
-    0x32fe8e6d, 0x8a98b614,
-  0x32f8cb07, 0x8a963567, 0x32f30782, 0x8a93b504, 0x32ed43de, 0x8a9134e8,
-    0x32e7801a, 0x8a8eb516,
-  0x32e1bc36, 0x8a8c358b, 0x32dbf834, 0x8a89b649, 0x32d63412, 0x8a873750,
-    0x32d06fd0, 0x8a84b89e,
-  0x32caab6f, 0x8a823a36, 0x32c4e6ef, 0x8a7fbc16, 0x32bf2250, 0x8a7d3e3e,
-    0x32b95d91, 0x8a7ac0af,
-  0x32b398b3, 0x8a784368, 0x32add3b6, 0x8a75c66a, 0x32a80e99, 0x8a7349b4,
-    0x32a2495d, 0x8a70cd47,
-  0x329c8402, 0x8a6e5123, 0x3296be88, 0x8a6bd547, 0x3290f8ef, 0x8a6959b3,
-    0x328b3336, 0x8a66de68,
-  0x32856d5e, 0x8a646365, 0x327fa767, 0x8a61e8ab, 0x3279e151, 0x8a5f6e3a,
-    0x32741b1c, 0x8a5cf411,
-  0x326e54c7, 0x8a5a7a31, 0x32688e54, 0x8a580099, 0x3262c7c1, 0x8a55874a,
-    0x325d0110, 0x8a530e43,
-  0x32573a3f, 0x8a509585, 0x3251734f, 0x8a4e1d10, 0x324bac40, 0x8a4ba4e3,
-    0x3245e512, 0x8a492cff,
-  0x32401dc6, 0x8a46b564, 0x323a565a, 0x8a443e11, 0x32348ecf, 0x8a41c706,
-    0x322ec725, 0x8a3f5045,
-  0x3228ff5c, 0x8a3cd9cc, 0x32233775, 0x8a3a639b, 0x321d6f6e, 0x8a37edb3,
-    0x3217a748, 0x8a357814,
-  0x3211df04, 0x8a3302be, 0x320c16a1, 0x8a308db0, 0x32064e1e, 0x8a2e18eb,
-    0x3200857d, 0x8a2ba46e,
-  0x31fabcbd, 0x8a29303b, 0x31f4f3df, 0x8a26bc50, 0x31ef2ae1, 0x8a2448ad,
-    0x31e961c5, 0x8a21d554,
-  0x31e39889, 0x8a1f6243, 0x31ddcf30, 0x8a1cef7a, 0x31d805b7, 0x8a1a7cfb,
-    0x31d23c1f, 0x8a180ac4,
-  0x31cc7269, 0x8a1598d6, 0x31c6a894, 0x8a132731, 0x31c0dea1, 0x8a10b5d4,
-    0x31bb148f, 0x8a0e44c0,
-  0x31b54a5e, 0x8a0bd3f5, 0x31af800e, 0x8a096373, 0x31a9b5a0, 0x8a06f339,
-    0x31a3eb13, 0x8a048348,
-  0x319e2067, 0x8a0213a0, 0x3198559d, 0x89ffa441, 0x31928ab4, 0x89fd352b,
-    0x318cbfad, 0x89fac65d,
-  0x3186f487, 0x89f857d8, 0x31812943, 0x89f5e99c, 0x317b5de0, 0x89f37ba9,
-    0x3175925e, 0x89f10dff,
-  0x316fc6be, 0x89eea09d, 0x3169fb00, 0x89ec3384, 0x31642f23, 0x89e9c6b4,
-    0x315e6328, 0x89e75a2d,
-  0x3158970e, 0x89e4edef, 0x3152cad5, 0x89e281fa, 0x314cfe7f, 0x89e0164d,
-    0x31473209, 0x89ddaae9,
-  0x31416576, 0x89db3fcf, 0x313b98c4, 0x89d8d4fd, 0x3135cbf4, 0x89d66a74,
-    0x312fff05, 0x89d40033,
-  0x312a31f8, 0x89d1963c, 0x312464cd, 0x89cf2c8e, 0x311e9783, 0x89ccc328,
-    0x3118ca1b, 0x89ca5a0c,
-  0x3112fc95, 0x89c7f138, 0x310d2ef0, 0x89c588ae, 0x3107612e, 0x89c3206c,
-    0x3101934d, 0x89c0b873,
-  0x30fbc54d, 0x89be50c3, 0x30f5f730, 0x89bbe95c, 0x30f028f4, 0x89b9823e,
-    0x30ea5a9a, 0x89b71b69,
-  0x30e48c22, 0x89b4b4dd, 0x30debd8c, 0x89b24e9a, 0x30d8eed8, 0x89afe8a0,
-    0x30d32006, 0x89ad82ef,
-  0x30cd5115, 0x89ab1d87, 0x30c78206, 0x89a8b868, 0x30c1b2da, 0x89a65391,
-    0x30bbe38f, 0x89a3ef04,
-  0x30b61426, 0x89a18ac0, 0x30b0449f, 0x899f26c5, 0x30aa74fa, 0x899cc313,
-    0x30a4a537, 0x899a5faa,
-  0x309ed556, 0x8997fc8a, 0x30990557, 0x899599b3, 0x3093353a, 0x89933725,
-    0x308d64ff, 0x8990d4e0,
-  0x308794a6, 0x898e72e4, 0x3081c42f, 0x898c1131, 0x307bf39b, 0x8989afc8,
-    0x307622e8, 0x89874ea7,
-  0x30705217, 0x8984edcf, 0x306a8129, 0x89828d41, 0x3064b01d, 0x89802cfc,
-    0x305edef3, 0x897dccff,
-  0x30590dab, 0x897b6d4c, 0x30533c45, 0x89790de2, 0x304d6ac1, 0x8976aec1,
-    0x30479920, 0x89744fe9,
-  0x3041c761, 0x8971f15a, 0x303bf584, 0x896f9315, 0x30362389, 0x896d3518,
-    0x30305171, 0x896ad765,
-  0x302a7f3a, 0x896879fb, 0x3024ace6, 0x89661cda, 0x301eda75, 0x8963c002,
-    0x301907e6, 0x89616373,
-  0x30133539, 0x895f072e, 0x300d626e, 0x895cab31, 0x30078f86, 0x895a4f7e,
-    0x3001bc80, 0x8957f414,
-  0x2ffbe95d, 0x895598f3, 0x2ff6161c, 0x89533e1c, 0x2ff042bd, 0x8950e38e,
-    0x2fea6f41, 0x894e8948,
-  0x2fe49ba7, 0x894c2f4c, 0x2fdec7f0, 0x8949d59a, 0x2fd8f41b, 0x89477c30,
-    0x2fd32028, 0x89452310,
-  0x2fcd4c19, 0x8942ca39, 0x2fc777eb, 0x894071ab, 0x2fc1a3a0, 0x893e1967,
-    0x2fbbcf38, 0x893bc16b,
-  0x2fb5fab2, 0x893969b9, 0x2fb0260f, 0x89371250, 0x2faa514f, 0x8934bb31,
-    0x2fa47c71, 0x8932645b,
-  0x2f9ea775, 0x89300dce, 0x2f98d25d, 0x892db78a, 0x2f92fd26, 0x892b6190,
-    0x2f8d27d3, 0x89290bdf,
-  0x2f875262, 0x8926b677, 0x2f817cd4, 0x89246159, 0x2f7ba729, 0x89220c84,
-    0x2f75d160, 0x891fb7f8,
-  0x2f6ffb7a, 0x891d63b5, 0x2f6a2577, 0x891b0fbc, 0x2f644f56, 0x8918bc0c,
-    0x2f5e7919, 0x891668a6,
-  0x2f58a2be, 0x89141589, 0x2f52cc46, 0x8911c2b5, 0x2f4cf5b0, 0x890f702b,
-    0x2f471efe, 0x890d1dea,
-  0x2f41482e, 0x890acbf2, 0x2f3b7141, 0x89087a44, 0x2f359a37, 0x890628df,
-    0x2f2fc310, 0x8903d7c4,
-  0x2f29ebcc, 0x890186f2, 0x2f24146b, 0x88ff3669, 0x2f1e3ced, 0x88fce62a,
-    0x2f186551, 0x88fa9634,
-  0x2f128d99, 0x88f84687, 0x2f0cb5c3, 0x88f5f724, 0x2f06ddd1, 0x88f3a80b,
-    0x2f0105c1, 0x88f1593b,
-  0x2efb2d95, 0x88ef0ab4, 0x2ef5554b, 0x88ecbc77, 0x2eef7ce5, 0x88ea6e83,
-    0x2ee9a461, 0x88e820d9,
-  0x2ee3cbc1, 0x88e5d378, 0x2eddf304, 0x88e38660, 0x2ed81a29, 0x88e13992,
-    0x2ed24132, 0x88deed0e,
-  0x2ecc681e, 0x88dca0d3, 0x2ec68eed, 0x88da54e1, 0x2ec0b5a0, 0x88d8093a,
-    0x2ebadc35, 0x88d5bddb,
-  0x2eb502ae, 0x88d372c6, 0x2eaf290a, 0x88d127fb, 0x2ea94f49, 0x88cedd79,
-    0x2ea3756b, 0x88cc9340,
-  0x2e9d9b70, 0x88ca4951, 0x2e97c159, 0x88c7ffac, 0x2e91e725, 0x88c5b650,
-    0x2e8c0cd4, 0x88c36d3e,
-  0x2e863267, 0x88c12475, 0x2e8057dd, 0x88bedbf6, 0x2e7a7d36, 0x88bc93c0,
-    0x2e74a272, 0x88ba4bd4,
-  0x2e6ec792, 0x88b80432, 0x2e68ec95, 0x88b5bcd9, 0x2e63117c, 0x88b375ca,
-    0x2e5d3646, 0x88b12f04,
-  0x2e575af3, 0x88aee888, 0x2e517f84, 0x88aca255, 0x2e4ba3f8, 0x88aa5c6c,
-    0x2e45c850, 0x88a816cd,
-  0x2e3fec8b, 0x88a5d177, 0x2e3a10aa, 0x88a38c6b, 0x2e3434ac, 0x88a147a9,
-    0x2e2e5891, 0x889f0330,
-  0x2e287c5a, 0x889cbf01, 0x2e22a007, 0x889a7b1b, 0x2e1cc397, 0x88983780,
-    0x2e16e70b, 0x8895f42d,
-  0x2e110a62, 0x8893b125, 0x2e0b2d9d, 0x88916e66, 0x2e0550bb, 0x888f2bf1,
-    0x2dff73bd, 0x888ce9c5,
-  0x2df996a3, 0x888aa7e3, 0x2df3b96c, 0x8888664b, 0x2deddc19, 0x888624fd,
-    0x2de7feaa, 0x8883e3f8,
-  0x2de2211e, 0x8881a33d, 0x2ddc4376, 0x887f62cb, 0x2dd665b2, 0x887d22a4,
-    0x2dd087d1, 0x887ae2c6,
-  0x2dcaa9d5, 0x8878a332, 0x2dc4cbbc, 0x887663e7, 0x2dbeed86, 0x887424e7,
-    0x2db90f35, 0x8871e630,
-  0x2db330c7, 0x886fa7c2, 0x2dad523d, 0x886d699f, 0x2da77397, 0x886b2bc5,
-    0x2da194d5, 0x8868ee35,
-  0x2d9bb5f6, 0x8866b0ef, 0x2d95d6fc, 0x886473f2, 0x2d8ff7e5, 0x88623740,
-    0x2d8a18b3, 0x885ffad7,
-  0x2d843964, 0x885dbeb8, 0x2d7e59f9, 0x885b82e3, 0x2d787a72, 0x88594757,
-    0x2d729acf, 0x88570c16,
-  0x2d6cbb10, 0x8854d11e, 0x2d66db35, 0x88529670, 0x2d60fb3e, 0x88505c0b,
-    0x2d5b1b2b, 0x884e21f1,
-  0x2d553afc, 0x884be821, 0x2d4f5ab1, 0x8849ae9a, 0x2d497a4a, 0x8847755d,
-    0x2d4399c7, 0x88453c6a,
-  0x2d3db928, 0x884303c1, 0x2d37d86d, 0x8840cb61, 0x2d31f797, 0x883e934c,
-    0x2d2c16a4, 0x883c5b81,
-  0x2d263596, 0x883a23ff, 0x2d20546b, 0x8837ecc7, 0x2d1a7325, 0x8835b5d9,
-    0x2d1491c4, 0x88337f35,
-  0x2d0eb046, 0x883148db, 0x2d08ceac, 0x882f12cb, 0x2d02ecf7, 0x882cdd04,
-    0x2cfd0b26, 0x882aa788,
-  0x2cf72939, 0x88287256, 0x2cf14731, 0x88263d6d, 0x2ceb650d, 0x882408ce,
-    0x2ce582cd, 0x8821d47a,
-  0x2cdfa071, 0x881fa06f, 0x2cd9bdfa, 0x881d6cae, 0x2cd3db67, 0x881b3937,
-    0x2ccdf8b8, 0x8819060a,
-  0x2cc815ee, 0x8816d327, 0x2cc23308, 0x8814a08f, 0x2cbc5006, 0x88126e40,
-    0x2cb66ce9, 0x88103c3b,
-  0x2cb089b1, 0x880e0a7f, 0x2caaa65c, 0x880bd90e, 0x2ca4c2ed, 0x8809a7e7,
-    0x2c9edf61, 0x8807770a,
-  0x2c98fbba, 0x88054677, 0x2c9317f8, 0x8803162e, 0x2c8d341a, 0x8800e62f,
-    0x2c875021, 0x87feb67a,
-  0x2c816c0c, 0x87fc870f, 0x2c7b87dc, 0x87fa57ee, 0x2c75a390, 0x87f82917,
-    0x2c6fbf29, 0x87f5fa8b,
-  0x2c69daa6, 0x87f3cc48, 0x2c63f609, 0x87f19e4f, 0x2c5e114f, 0x87ef70a0,
-    0x2c582c7b, 0x87ed433c,
-  0x2c52478a, 0x87eb1621, 0x2c4c627f, 0x87e8e950, 0x2c467d58, 0x87e6bcca,
-    0x2c409816, 0x87e4908e,
-  0x2c3ab2b9, 0x87e2649b, 0x2c34cd40, 0x87e038f3, 0x2c2ee7ad, 0x87de0d95,
-    0x2c2901fd, 0x87dbe281,
-  0x2c231c33, 0x87d9b7b7, 0x2c1d364e, 0x87d78d38, 0x2c17504d, 0x87d56302,
-    0x2c116a31, 0x87d33916,
-  0x2c0b83fa, 0x87d10f75, 0x2c059da7, 0x87cee61e, 0x2bffb73a, 0x87ccbd11,
-    0x2bf9d0b1, 0x87ca944e,
-  0x2bf3ea0d, 0x87c86bd5, 0x2bee034e, 0x87c643a6, 0x2be81c74, 0x87c41bc2,
-    0x2be2357f, 0x87c1f427,
-  0x2bdc4e6f, 0x87bfccd7, 0x2bd66744, 0x87bda5d1, 0x2bd07ffe, 0x87bb7f16,
-    0x2bca989d, 0x87b958a4,
-  0x2bc4b120, 0x87b7327d, 0x2bbec989, 0x87b50c9f, 0x2bb8e1d7, 0x87b2e70c,
-    0x2bb2fa0a, 0x87b0c1c4,
-  0x2bad1221, 0x87ae9cc5, 0x2ba72a1e, 0x87ac7811, 0x2ba14200, 0x87aa53a6,
-    0x2b9b59c7, 0x87a82f87,
-  0x2b957173, 0x87a60bb1, 0x2b8f8905, 0x87a3e825, 0x2b89a07b, 0x87a1c4e4,
-    0x2b83b7d7, 0x879fa1ed,
-  0x2b7dcf17, 0x879d7f41, 0x2b77e63d, 0x879b5cde, 0x2b71fd48, 0x87993ac6,
-    0x2b6c1438, 0x879718f8,
-  0x2b662b0e, 0x8794f774, 0x2b6041c9, 0x8792d63b, 0x2b5a5868, 0x8790b54c,
-    0x2b546eee, 0x878e94a7,
-  0x2b4e8558, 0x878c744d, 0x2b489ba8, 0x878a543d, 0x2b42b1dd, 0x87883477,
-    0x2b3cc7f7, 0x878614fb,
-  0x2b36ddf7, 0x8783f5ca, 0x2b30f3dc, 0x8781d6e3, 0x2b2b09a6, 0x877fb846,
-    0x2b251f56, 0x877d99f4,
-  0x2b1f34eb, 0x877b7bec, 0x2b194a66, 0x87795e2f, 0x2b135fc6, 0x877740bb,
-    0x2b0d750b, 0x87752392,
-  0x2b078a36, 0x877306b4, 0x2b019f46, 0x8770ea20, 0x2afbb43c, 0x876ecdd6,
-    0x2af5c917, 0x876cb1d6,
-  0x2aefddd8, 0x876a9621, 0x2ae9f27e, 0x87687ab7, 0x2ae4070a, 0x87665f96,
-    0x2ade1b7c, 0x876444c1,
-  0x2ad82fd2, 0x87622a35, 0x2ad2440f, 0x87600ff4, 0x2acc5831, 0x875df5fd,
-    0x2ac66c39, 0x875bdc51,
-  0x2ac08026, 0x8759c2ef, 0x2aba93f9, 0x8757a9d8, 0x2ab4a7b1, 0x8755910b,
-    0x2aaebb50, 0x87537888,
-  0x2aa8ced3, 0x87516050, 0x2aa2e23d, 0x874f4862, 0x2a9cf58c, 0x874d30bf,
-    0x2a9708c1, 0x874b1966,
-  0x2a911bdc, 0x87490258, 0x2a8b2edc, 0x8746eb94, 0x2a8541c3, 0x8744d51b,
-    0x2a7f548e, 0x8742beec,
-  0x2a796740, 0x8740a907, 0x2a7379d8, 0x873e936d, 0x2a6d8c55, 0x873c7e1e,
-    0x2a679eb8, 0x873a6919,
-  0x2a61b101, 0x8738545e, 0x2a5bc330, 0x87363fee, 0x2a55d545, 0x87342bc9,
-    0x2a4fe740, 0x873217ee,
-  0x2a49f920, 0x8730045d, 0x2a440ae7, 0x872df117, 0x2a3e1c93, 0x872bde1c,
-    0x2a382e25, 0x8729cb6b,
-  0x2a323f9e, 0x8727b905, 0x2a2c50fc, 0x8725a6e9, 0x2a266240, 0x87239518,
-    0x2a20736a, 0x87218391,
-  0x2a1a847b, 0x871f7255, 0x2a149571, 0x871d6163, 0x2a0ea64d, 0x871b50bc,
-    0x2a08b710, 0x87194060,
-  0x2a02c7b8, 0x8717304e, 0x29fcd847, 0x87152087, 0x29f6e8bb, 0x8713110a,
-    0x29f0f916, 0x871101d8,
-  0x29eb0957, 0x870ef2f1, 0x29e5197e, 0x870ce454, 0x29df298b, 0x870ad602,
-    0x29d9397f, 0x8708c7fa,
-  0x29d34958, 0x8706ba3d, 0x29cd5918, 0x8704acca, 0x29c768be, 0x87029fa3,
-    0x29c1784a, 0x870092c5,
-  0x29bb87bc, 0x86fe8633, 0x29b59715, 0x86fc79eb, 0x29afa654, 0x86fa6dee,
-    0x29a9b579, 0x86f8623b,
-  0x29a3c485, 0x86f656d3, 0x299dd377, 0x86f44bb6, 0x2997e24f, 0x86f240e3,
-    0x2991f10e, 0x86f0365c,
-  0x298bffb2, 0x86ee2c1e, 0x29860e3e, 0x86ec222c, 0x29801caf, 0x86ea1884,
-    0x297a2b07, 0x86e80f27,
-  0x29743946, 0x86e60614, 0x296e476b, 0x86e3fd4c, 0x29685576, 0x86e1f4cf,
-    0x29626368, 0x86dfec9d,
-  0x295c7140, 0x86dde4b5, 0x29567eff, 0x86dbdd18, 0x29508ca4, 0x86d9d5c6,
-    0x294a9a30, 0x86d7cebf,
-  0x2944a7a2, 0x86d5c802, 0x293eb4fb, 0x86d3c190, 0x2938c23a, 0x86d1bb69,
-    0x2932cf60, 0x86cfb58c,
-  0x292cdc6d, 0x86cdaffa, 0x2926e960, 0x86cbaab3, 0x2920f63a, 0x86c9a5b7,
-    0x291b02fa, 0x86c7a106,
-  0x29150fa1, 0x86c59c9f, 0x290f1c2f, 0x86c39883, 0x290928a3, 0x86c194b2,
-    0x290334ff, 0x86bf912c,
-  0x28fd4140, 0x86bd8df0, 0x28f74d69, 0x86bb8b00, 0x28f15978, 0x86b9885a,
-    0x28eb656e, 0x86b785ff,
-  0x28e5714b, 0x86b583ee, 0x28df7d0e, 0x86b38229, 0x28d988b8, 0x86b180ae,
-    0x28d3944a, 0x86af7f7e,
-  0x28cd9fc1, 0x86ad7e99, 0x28c7ab20, 0x86ab7dff, 0x28c1b666, 0x86a97db0,
-    0x28bbc192, 0x86a77dab,
-  0x28b5cca5, 0x86a57df2, 0x28afd7a0, 0x86a37e83, 0x28a9e281, 0x86a17f5f,
-    0x28a3ed49, 0x869f8086,
-  0x289df7f8, 0x869d81f8, 0x2898028e, 0x869b83b4, 0x28920d0a, 0x869985bc,
-    0x288c176e, 0x8697880f,
-  0x288621b9, 0x86958aac, 0x28802beb, 0x86938d94, 0x287a3604, 0x869190c7,
-    0x28744004, 0x868f9445,
-  0x286e49ea, 0x868d980e, 0x286853b8, 0x868b9c22, 0x28625d6d, 0x8689a081,
-    0x285c670a, 0x8687a52b,
-  0x2856708d, 0x8685aa20, 0x285079f7, 0x8683af5f, 0x284a8349, 0x8681b4ea,
-    0x28448c81, 0x867fbabf,
-  0x283e95a1, 0x867dc0e0, 0x28389ea8, 0x867bc74b, 0x2832a796, 0x8679ce01,
-    0x282cb06c, 0x8677d503,
-  0x2826b928, 0x8675dc4f, 0x2820c1cc, 0x8673e3e6, 0x281aca57, 0x8671ebc8,
-    0x2814d2c9, 0x866ff3f6,
-  0x280edb23, 0x866dfc6e, 0x2808e364, 0x866c0531, 0x2802eb8c, 0x866a0e3f,
-    0x27fcf39c, 0x86681798,
-  0x27f6fb92, 0x8666213c, 0x27f10371, 0x86642b2c, 0x27eb0b36, 0x86623566,
-    0x27e512e3, 0x86603feb,
-  0x27df1a77, 0x865e4abb, 0x27d921f3, 0x865c55d7, 0x27d32956, 0x865a613d,
-    0x27cd30a1, 0x86586cee,
-  0x27c737d3, 0x865678eb, 0x27c13eec, 0x86548532, 0x27bb45ed, 0x865291c4,
-    0x27b54cd6, 0x86509ea2,
-  0x27af53a6, 0x864eabcb, 0x27a95a5d, 0x864cb93e, 0x27a360fc, 0x864ac6fd,
-    0x279d6783, 0x8648d507,
-  0x27976df1, 0x8646e35c, 0x27917447, 0x8644f1fc, 0x278b7a84, 0x864300e7,
-    0x278580a9, 0x8641101d,
-  0x277f86b5, 0x863f1f9e, 0x27798caa, 0x863d2f6b, 0x27739285, 0x863b3f82,
-    0x276d9849, 0x86394fe5,
-  0x27679df4, 0x86376092, 0x2761a387, 0x8635718b, 0x275ba901, 0x863382cf,
-    0x2755ae64, 0x8631945e,
-  0x274fb3ae, 0x862fa638, 0x2749b8e0, 0x862db85e, 0x2743bdf9, 0x862bcace,
-    0x273dc2fa, 0x8629dd8a,
-  0x2737c7e3, 0x8627f091, 0x2731ccb4, 0x862603e3, 0x272bd16d, 0x86241780,
-    0x2725d60e, 0x86222b68,
-  0x271fda96, 0x86203f9c, 0x2719df06, 0x861e541a, 0x2713e35f, 0x861c68e4,
-    0x270de79f, 0x861a7df9,
-  0x2707ebc7, 0x86189359, 0x2701efd7, 0x8616a905, 0x26fbf3ce, 0x8614befb,
-    0x26f5f7ae, 0x8612d53d,
-  0x26effb76, 0x8610ebca, 0x26e9ff26, 0x860f02a3, 0x26e402bd, 0x860d19c6,
-    0x26de063d, 0x860b3135,
-  0x26d809a5, 0x860948ef, 0x26d20cf5, 0x860760f4, 0x26cc102d, 0x86057944,
-    0x26c6134d, 0x860391e0,
-  0x26c01655, 0x8601aac7, 0x26ba1945, 0x85ffc3f9, 0x26b41c1d, 0x85fddd76,
-    0x26ae1edd, 0x85fbf73f,
-  0x26a82186, 0x85fa1153, 0x26a22416, 0x85f82bb2, 0x269c268f, 0x85f6465c,
-    0x269628f0, 0x85f46152,
-  0x26902b39, 0x85f27c93, 0x268a2d6b, 0x85f09820, 0x26842f84, 0x85eeb3f7,
-    0x267e3186, 0x85ecd01a,
-  0x26783370, 0x85eaec88, 0x26723543, 0x85e90942, 0x266c36fe, 0x85e72647,
-    0x266638a1, 0x85e54397,
-  0x26603a2c, 0x85e36132, 0x265a3b9f, 0x85e17f19, 0x26543cfb, 0x85df9d4b,
-    0x264e3e40, 0x85ddbbc9,
-  0x26483f6c, 0x85dbda91, 0x26424082, 0x85d9f9a5, 0x263c417f, 0x85d81905,
-    0x26364265, 0x85d638b0,
-  0x26304333, 0x85d458a6, 0x262a43ea, 0x85d278e7, 0x26244489, 0x85d09974,
-    0x261e4511, 0x85ceba4d,
-  0x26184581, 0x85ccdb70, 0x261245da, 0x85cafcdf, 0x260c461b, 0x85c91e9a,
-    0x26064645, 0x85c740a0,
-  0x26004657, 0x85c562f1, 0x25fa4652, 0x85c3858d, 0x25f44635, 0x85c1a875,
-    0x25ee4601, 0x85bfcba9,
-  0x25e845b6, 0x85bdef28, 0x25e24553, 0x85bc12f2, 0x25dc44d9, 0x85ba3707,
-    0x25d64447, 0x85b85b68,
-  0x25d0439f, 0x85b68015, 0x25ca42de, 0x85b4a50d, 0x25c44207, 0x85b2ca50,
-    0x25be4118, 0x85b0efdf,
-  0x25b84012, 0x85af15b9, 0x25b23ef5, 0x85ad3bdf, 0x25ac3dc0, 0x85ab6250,
-    0x25a63c74, 0x85a9890d,
-  0x25a03b11, 0x85a7b015, 0x259a3997, 0x85a5d768, 0x25943806, 0x85a3ff07,
-    0x258e365d, 0x85a226f2,
-  0x2588349d, 0x85a04f28, 0x258232c6, 0x859e77a9, 0x257c30d8, 0x859ca076,
-    0x25762ed3, 0x859ac98f,
-  0x25702cb7, 0x8598f2f3, 0x256a2a83, 0x85971ca2, 0x25642839, 0x8595469d,
-    0x255e25d7, 0x859370e4,
-  0x2558235f, 0x85919b76, 0x255220cf, 0x858fc653, 0x254c1e28, 0x858df17c,
-    0x25461b6b, 0x858c1cf1,
-  0x25401896, 0x858a48b1, 0x253a15aa, 0x858874bd, 0x253412a8, 0x8586a114,
-    0x252e0f8e, 0x8584cdb7,
-  0x25280c5e, 0x8582faa5, 0x25220916, 0x858127df, 0x251c05b8, 0x857f5564,
-    0x25160243, 0x857d8335,
-  0x250ffeb7, 0x857bb152, 0x2509fb14, 0x8579dfba, 0x2503f75a, 0x85780e6e,
-    0x24fdf389, 0x85763d6d,
-  0x24f7efa2, 0x85746cb8, 0x24f1eba4, 0x85729c4e, 0x24ebe78f, 0x8570cc30,
-    0x24e5e363, 0x856efc5e,
-  0x24dfdf20, 0x856d2cd7, 0x24d9dac7, 0x856b5d9c, 0x24d3d657, 0x85698ead,
-    0x24cdd1d0, 0x8567c009,
-  0x24c7cd33, 0x8565f1b0, 0x24c1c87f, 0x856423a4, 0x24bbc3b4, 0x856255e3,
-    0x24b5bed2, 0x8560886d,
-  0x24afb9da, 0x855ebb44, 0x24a9b4cb, 0x855cee66, 0x24a3afa6, 0x855b21d3,
-    0x249daa6a, 0x8559558c,
-  0x2497a517, 0x85578991, 0x24919fae, 0x8555bde2, 0x248b9a2f, 0x8553f27e,
-    0x24859498, 0x85522766,
-  0x247f8eec, 0x85505c99, 0x24798928, 0x854e9219, 0x2473834f, 0x854cc7e3,
-    0x246d7d5e, 0x854afdfa,
-  0x24677758, 0x8549345c, 0x2461713a, 0x85476b0a, 0x245b6b07, 0x8545a204,
-    0x245564bd, 0x8543d949,
-  0x244f5e5c, 0x854210db, 0x244957e5, 0x854048b7, 0x24435158, 0x853e80e0,
-    0x243d4ab4, 0x853cb954,
-  0x243743fa, 0x853af214, 0x24313d2a, 0x85392b20, 0x242b3644, 0x85376477,
-    0x24252f47, 0x85359e1a,
-  0x241f2833, 0x8533d809, 0x2419210a, 0x85321244, 0x241319ca, 0x85304cca,
-    0x240d1274, 0x852e879d,
-  0x24070b08, 0x852cc2bb, 0x24010385, 0x852afe24, 0x23fafbec, 0x852939da,
-    0x23f4f43e, 0x852775db,
-  0x23eeec78, 0x8525b228, 0x23e8e49d, 0x8523eec1, 0x23e2dcac, 0x85222ba5,
-    0x23dcd4a4, 0x852068d6,
-  0x23d6cc87, 0x851ea652, 0x23d0c453, 0x851ce41a, 0x23cabc09, 0x851b222e,
-    0x23c4b3a9, 0x8519608d,
-  0x23beab33, 0x85179f39, 0x23b8a2a7, 0x8515de30, 0x23b29a05, 0x85141d73,
-    0x23ac914d, 0x85125d02,
-  0x23a6887f, 0x85109cdd, 0x23a07f9a, 0x850edd03, 0x239a76a0, 0x850d1d75,
-    0x23946d90, 0x850b5e34,
-  0x238e646a, 0x85099f3e, 0x23885b2e, 0x8507e094, 0x238251dd, 0x85062235,
-    0x237c4875, 0x85046423,
-  0x23763ef7, 0x8502a65c, 0x23703564, 0x8500e8e2, 0x236a2bba, 0x84ff2bb3,
-    0x236421fb, 0x84fd6ed0,
-  0x235e1826, 0x84fbb239, 0x23580e3b, 0x84f9f5ee, 0x2352043b, 0x84f839ee,
-    0x234bfa24, 0x84f67e3b,
-  0x2345eff8, 0x84f4c2d4, 0x233fe5b6, 0x84f307b8, 0x2339db5e, 0x84f14ce8,
-    0x2333d0f1, 0x84ef9265,
-  0x232dc66d, 0x84edd82d, 0x2327bbd5, 0x84ec1e41, 0x2321b126, 0x84ea64a1,
-    0x231ba662, 0x84e8ab4d,
-  0x23159b88, 0x84e6f244, 0x230f9098, 0x84e53988, 0x23098593, 0x84e38118,
-    0x23037a78, 0x84e1c8f3,
-  0x22fd6f48, 0x84e0111b, 0x22f76402, 0x84de598f, 0x22f158a7, 0x84dca24e,
-    0x22eb4d36, 0x84daeb5a,
-  0x22e541af, 0x84d934b1, 0x22df3613, 0x84d77e54, 0x22d92a61, 0x84d5c844,
-    0x22d31e9a, 0x84d4127f,
-  0x22cd12bd, 0x84d25d06, 0x22c706cb, 0x84d0a7da, 0x22c0fac4, 0x84cef2f9,
-    0x22baeea7, 0x84cd3e64,
-  0x22b4e274, 0x84cb8a1b, 0x22aed62c, 0x84c9d61f, 0x22a8c9cf, 0x84c8226e,
-    0x22a2bd5d, 0x84c66f09,
-  0x229cb0d5, 0x84c4bbf0, 0x2296a437, 0x84c30924, 0x22909785, 0x84c156a3,
-    0x228a8abd, 0x84bfa46e,
-  0x22847de0, 0x84bdf286, 0x227e70ed, 0x84bc40e9, 0x227863e5, 0x84ba8f98,
-    0x227256c8, 0x84b8de94,
-  0x226c4996, 0x84b72ddb, 0x22663c4e, 0x84b57d6f, 0x22602ef1, 0x84b3cd4f,
-    0x225a217f, 0x84b21d7a,
-  0x225413f8, 0x84b06df2, 0x224e065c, 0x84aebeb6, 0x2247f8aa, 0x84ad0fc6,
-    0x2241eae3, 0x84ab6122,
-  0x223bdd08, 0x84a9b2ca, 0x2235cf17, 0x84a804be, 0x222fc111, 0x84a656fe,
-    0x2229b2f6, 0x84a4a98a,
-  0x2223a4c5, 0x84a2fc62, 0x221d9680, 0x84a14f87, 0x22178826, 0x849fa2f7,
-    0x221179b7, 0x849df6b4,
-  0x220b6b32, 0x849c4abd, 0x22055c99, 0x849a9f12, 0x21ff4dea, 0x8498f3b3,
-    0x21f93f27, 0x849748a0,
-  0x21f3304f, 0x84959dd9, 0x21ed2162, 0x8493f35e, 0x21e71260, 0x84924930,
-    0x21e10349, 0x84909f4e,
-  0x21daf41d, 0x848ef5b7, 0x21d4e4dc, 0x848d4c6d, 0x21ced586, 0x848ba36f,
-    0x21c8c61c, 0x8489fabe,
-  0x21c2b69c, 0x84885258, 0x21bca708, 0x8486aa3e, 0x21b6975f, 0x84850271,
-    0x21b087a1, 0x84835af0,
-  0x21aa77cf, 0x8481b3bb, 0x21a467e7, 0x84800cd2, 0x219e57eb, 0x847e6636,
-    0x219847da, 0x847cbfe5,
-  0x219237b5, 0x847b19e1, 0x218c277a, 0x84797429, 0x2186172b, 0x8477cebd,
-    0x218006c8, 0x8476299e,
-  0x2179f64f, 0x847484ca, 0x2173e5c2, 0x8472e043, 0x216dd521, 0x84713c08,
-    0x2167c46b, 0x846f9819,
-  0x2161b3a0, 0x846df477, 0x215ba2c0, 0x846c5120, 0x215591cc, 0x846aae16,
-    0x214f80c4, 0x84690b58,
-  0x21496fa7, 0x846768e7, 0x21435e75, 0x8465c6c1, 0x213d4d2f, 0x846424e8,
-    0x21373bd4, 0x8462835b,
-  0x21312a65, 0x8460e21a, 0x212b18e1, 0x845f4126, 0x21250749, 0x845da07e,
-    0x211ef59d, 0x845c0022,
-  0x2118e3dc, 0x845a6012, 0x2112d206, 0x8458c04f, 0x210cc01d, 0x845720d8,
-    0x2106ae1e, 0x845581ad,
-  0x21009c0c, 0x8453e2cf, 0x20fa89e5, 0x8452443d, 0x20f477aa, 0x8450a5f7,
-    0x20ee655a, 0x844f07fd,
-  0x20e852f6, 0x844d6a50, 0x20e2407e, 0x844bccef, 0x20dc2df2, 0x844a2fda,
-    0x20d61b51, 0x84489311,
-  0x20d0089c, 0x8446f695, 0x20c9f5d3, 0x84455a66, 0x20c3e2f5, 0x8443be82,
-    0x20bdd003, 0x844222eb,
-  0x20b7bcfe, 0x844087a0, 0x20b1a9e4, 0x843eeca2, 0x20ab96b5, 0x843d51f0,
-    0x20a58373, 0x843bb78a,
-  0x209f701c, 0x843a1d70, 0x20995cb2, 0x843883a3, 0x20934933, 0x8436ea23,
-    0x208d35a0, 0x843550ee,
-  0x208721f9, 0x8433b806, 0x20810e3e, 0x84321f6b, 0x207afa6f, 0x8430871b,
-    0x2074e68c, 0x842eef18,
-  0x206ed295, 0x842d5762, 0x2068be8a, 0x842bbff8, 0x2062aa6b, 0x842a28da,
-    0x205c9638, 0x84289209,
-  0x205681f1, 0x8426fb84, 0x20506d96, 0x8425654b, 0x204a5927, 0x8423cf5f,
-    0x204444a4, 0x842239bf,
-  0x203e300d, 0x8420a46c, 0x20381b63, 0x841f0f65, 0x203206a4, 0x841d7aaa,
-    0x202bf1d2, 0x841be63c,
-  0x2025dcec, 0x841a521a, 0x201fc7f2, 0x8418be45, 0x2019b2e4, 0x84172abc,
-    0x20139dc2, 0x84159780,
-  0x200d888d, 0x84140490, 0x20077344, 0x841271ec, 0x20015de7, 0x8410df95,
-    0x1ffb4876, 0x840f4d8a,
-  0x1ff532f2, 0x840dbbcc, 0x1fef1d59, 0x840c2a5a, 0x1fe907ae, 0x840a9935,
-    0x1fe2f1ee, 0x8409085c,
-  0x1fdcdc1b, 0x840777d0, 0x1fd6c634, 0x8405e790, 0x1fd0b03a, 0x8404579d,
-    0x1fca9a2b, 0x8402c7f6,
-  0x1fc4840a, 0x8401389b, 0x1fbe6dd4, 0x83ffa98d, 0x1fb8578b, 0x83fe1acc,
-    0x1fb2412f, 0x83fc8c57,
-  0x1fac2abf, 0x83fafe2e, 0x1fa6143b, 0x83f97052, 0x1f9ffda4, 0x83f7e2c3,
-    0x1f99e6fa, 0x83f65580,
-  0x1f93d03c, 0x83f4c889, 0x1f8db96a, 0x83f33bdf, 0x1f87a285, 0x83f1af82,
-    0x1f818b8d, 0x83f02371,
-  0x1f7b7481, 0x83ee97ad, 0x1f755d61, 0x83ed0c35, 0x1f6f462f, 0x83eb810a,
-    0x1f692ee9, 0x83e9f62b,
-  0x1f63178f, 0x83e86b99, 0x1f5d0022, 0x83e6e153, 0x1f56e8a2, 0x83e5575a,
-    0x1f50d10e, 0x83e3cdad,
-  0x1f4ab968, 0x83e2444d, 0x1f44a1ad, 0x83e0bb3a, 0x1f3e89e0, 0x83df3273,
-    0x1f3871ff, 0x83dda9f9,
-  0x1f325a0b, 0x83dc21cb, 0x1f2c4204, 0x83da99ea, 0x1f2629ea, 0x83d91255,
-    0x1f2011bc, 0x83d78b0d,
-  0x1f19f97b, 0x83d60412, 0x1f13e127, 0x83d47d63, 0x1f0dc8c0, 0x83d2f701,
-    0x1f07b045, 0x83d170eb,
-  0x1f0197b8, 0x83cfeb22, 0x1efb7f17, 0x83ce65a6, 0x1ef56664, 0x83cce076,
-    0x1eef4d9d, 0x83cb5b93,
-  0x1ee934c3, 0x83c9d6fc, 0x1ee31bd6, 0x83c852b2, 0x1edd02d6, 0x83c6ceb5,
-    0x1ed6e9c3, 0x83c54b04,
-  0x1ed0d09d, 0x83c3c7a0, 0x1ecab763, 0x83c24488, 0x1ec49e17, 0x83c0c1be,
-    0x1ebe84b8, 0x83bf3f3f,
-  0x1eb86b46, 0x83bdbd0e, 0x1eb251c1, 0x83bc3b29, 0x1eac3829, 0x83bab991,
-    0x1ea61e7e, 0x83b93845,
-  0x1ea004c1, 0x83b7b746, 0x1e99eaf0, 0x83b63694, 0x1e93d10c, 0x83b4b62e,
-    0x1e8db716, 0x83b33616,
-  0x1e879d0d, 0x83b1b649, 0x1e8182f1, 0x83b036ca, 0x1e7b68c2, 0x83aeb797,
-    0x1e754e80, 0x83ad38b1,
-  0x1e6f342c, 0x83abba17, 0x1e6919c4, 0x83aa3bca, 0x1e62ff4a, 0x83a8bdca,
-    0x1e5ce4be, 0x83a74017,
-  0x1e56ca1e, 0x83a5c2b0, 0x1e50af6c, 0x83a44596, 0x1e4a94a7, 0x83a2c8c9,
-    0x1e4479cf, 0x83a14c48,
-  0x1e3e5ee5, 0x839fd014, 0x1e3843e8, 0x839e542d, 0x1e3228d9, 0x839cd893,
-    0x1e2c0db6, 0x839b5d45,
-  0x1e25f282, 0x8399e244, 0x1e1fd73a, 0x83986790, 0x1e19bbe0, 0x8396ed29,
-    0x1e13a074, 0x8395730e,
-  0x1e0d84f5, 0x8393f940, 0x1e076963, 0x83927fbf, 0x1e014dbf, 0x8391068a,
-    0x1dfb3208, 0x838f8da2,
-  0x1df5163f, 0x838e1507, 0x1deefa63, 0x838c9cb9, 0x1de8de75, 0x838b24b8,
-    0x1de2c275, 0x8389ad03,
-  0x1ddca662, 0x8388359b, 0x1dd68a3c, 0x8386be80, 0x1dd06e04, 0x838547b2,
-    0x1dca51ba, 0x8383d130,
-  0x1dc4355e, 0x83825afb, 0x1dbe18ef, 0x8380e513, 0x1db7fc6d, 0x837f6f78,
-    0x1db1dfda, 0x837dfa2a,
-  0x1dabc334, 0x837c8528, 0x1da5a67c, 0x837b1074, 0x1d9f89b1, 0x83799c0c,
-    0x1d996cd4, 0x837827f0,
-  0x1d934fe5, 0x8376b422, 0x1d8d32e4, 0x837540a1, 0x1d8715d0, 0x8373cd6c,
-    0x1d80f8ab, 0x83725a84,
-  0x1d7adb73, 0x8370e7e9, 0x1d74be29, 0x836f759b, 0x1d6ea0cc, 0x836e039a,
-    0x1d68835e, 0x836c91e5,
-  0x1d6265dd, 0x836b207d, 0x1d5c484b, 0x8369af63, 0x1d562aa6, 0x83683e95,
-    0x1d500cef, 0x8366ce14,
-  0x1d49ef26, 0x83655ddf, 0x1d43d14b, 0x8363edf8, 0x1d3db35e, 0x83627e5d,
-    0x1d37955e, 0x83610f10,
-  0x1d31774d, 0x835fa00f, 0x1d2b592a, 0x835e315b, 0x1d253af5, 0x835cc2f4,
-    0x1d1f1cae, 0x835b54da,
-  0x1d18fe54, 0x8359e70d, 0x1d12dfe9, 0x8358798c, 0x1d0cc16c, 0x83570c59,
-    0x1d06a2dd, 0x83559f72,
-  0x1d00843d, 0x835432d8, 0x1cfa658a, 0x8352c68c, 0x1cf446c5, 0x83515a8c,
-    0x1cee27ef, 0x834feed9,
-  0x1ce80906, 0x834e8373, 0x1ce1ea0c, 0x834d185a, 0x1cdbcb00, 0x834bad8e,
-    0x1cd5abe3, 0x834a430e,
-  0x1ccf8cb3, 0x8348d8dc, 0x1cc96d72, 0x83476ef6, 0x1cc34e1f, 0x8346055e,
-    0x1cbd2eba, 0x83449c12,
-  0x1cb70f43, 0x83433314, 0x1cb0efbb, 0x8341ca62, 0x1caad021, 0x834061fd,
-    0x1ca4b075, 0x833ef9e6,
-  0x1c9e90b8, 0x833d921b, 0x1c9870e9, 0x833c2a9d, 0x1c925109, 0x833ac36c,
-    0x1c8c3116, 0x83395c88,
-  0x1c861113, 0x8337f5f1, 0x1c7ff0fd, 0x83368fa7, 0x1c79d0d6, 0x833529aa,
-    0x1c73b09d, 0x8333c3fa,
-  0x1c6d9053, 0x83325e97, 0x1c676ff8, 0x8330f981, 0x1c614f8b, 0x832f94b8,
-    0x1c5b2f0c, 0x832e303c,
-  0x1c550e7c, 0x832ccc0d, 0x1c4eedda, 0x832b682b, 0x1c48cd27, 0x832a0496,
-    0x1c42ac62, 0x8328a14d,
-  0x1c3c8b8c, 0x83273e52, 0x1c366aa5, 0x8325dba4, 0x1c3049ac, 0x83247943,
-    0x1c2a28a2, 0x8323172f,
-  0x1c240786, 0x8321b568, 0x1c1de659, 0x832053ee, 0x1c17c51b, 0x831ef2c1,
-    0x1c11a3cb, 0x831d91e1,
-  0x1c0b826a, 0x831c314e, 0x1c0560f8, 0x831ad109, 0x1bff3f75, 0x83197110,
-    0x1bf91de0, 0x83181164,
-  0x1bf2fc3a, 0x8316b205, 0x1becda83, 0x831552f4, 0x1be6b8ba, 0x8313f42f,
-    0x1be096e0, 0x831295b7,
-  0x1bda74f6, 0x8311378d, 0x1bd452f9, 0x830fd9af, 0x1bce30ec, 0x830e7c1f,
-    0x1bc80ece, 0x830d1edc,
-  0x1bc1ec9e, 0x830bc1e6, 0x1bbbca5e, 0x830a653c, 0x1bb5a80c, 0x830908e0,
-    0x1baf85a9, 0x8307acd1,
-  0x1ba96335, 0x83065110, 0x1ba340b0, 0x8304f59b, 0x1b9d1e1a, 0x83039a73,
-    0x1b96fb73, 0x83023f98,
-  0x1b90d8bb, 0x8300e50b, 0x1b8ab5f2, 0x82ff8acb, 0x1b849317, 0x82fe30d7,
-    0x1b7e702c, 0x82fcd731,
-  0x1b784d30, 0x82fb7dd8, 0x1b722a23, 0x82fa24cc, 0x1b6c0705, 0x82f8cc0d,
-    0x1b65e3d7, 0x82f7739c,
-  0x1b5fc097, 0x82f61b77, 0x1b599d46, 0x82f4c3a0, 0x1b5379e5, 0x82f36c15,
-    0x1b4d5672, 0x82f214d8,
-  0x1b4732ef, 0x82f0bde8, 0x1b410f5b, 0x82ef6745, 0x1b3aebb6, 0x82ee10ef,
-    0x1b34c801, 0x82ecbae7,
-  0x1b2ea43a, 0x82eb652b, 0x1b288063, 0x82ea0fbd, 0x1b225c7b, 0x82e8ba9c,
-    0x1b1c3883, 0x82e765c8,
-  0x1b161479, 0x82e61141, 0x1b0ff05f, 0x82e4bd07, 0x1b09cc34, 0x82e3691b,
-    0x1b03a7f9, 0x82e2157c,
-  0x1afd83ad, 0x82e0c22a, 0x1af75f50, 0x82df6f25, 0x1af13ae3, 0x82de1c6d,
-    0x1aeb1665, 0x82dcca02,
-  0x1ae4f1d6, 0x82db77e5, 0x1adecd37, 0x82da2615, 0x1ad8a887, 0x82d8d492,
-    0x1ad283c7, 0x82d7835c,
-  0x1acc5ef6, 0x82d63274, 0x1ac63a14, 0x82d4e1d8, 0x1ac01522, 0x82d3918a,
-    0x1ab9f020, 0x82d24189,
-  0x1ab3cb0d, 0x82d0f1d5, 0x1aada5e9, 0x82cfa26f, 0x1aa780b6, 0x82ce5356,
-    0x1aa15b71, 0x82cd048a,
-  0x1a9b361d, 0x82cbb60b, 0x1a9510b7, 0x82ca67d9, 0x1a8eeb42, 0x82c919f5,
-    0x1a88c5bc, 0x82c7cc5e,
-  0x1a82a026, 0x82c67f14, 0x1a7c7a7f, 0x82c53217, 0x1a7654c8, 0x82c3e568,
-    0x1a702f01, 0x82c29906,
-  0x1a6a0929, 0x82c14cf1, 0x1a63e341, 0x82c00129, 0x1a5dbd49, 0x82beb5af,
-    0x1a579741, 0x82bd6a82,
-  0x1a517128, 0x82bc1fa2, 0x1a4b4aff, 0x82bad50f, 0x1a4524c6, 0x82b98aca,
-    0x1a3efe7c, 0x82b840d2,
-  0x1a38d823, 0x82b6f727, 0x1a32b1b9, 0x82b5adca, 0x1a2c8b3f, 0x82b464ba,
-    0x1a2664b5, 0x82b31bf7,
-  0x1a203e1b, 0x82b1d381, 0x1a1a1771, 0x82b08b59, 0x1a13f0b6, 0x82af437e,
-    0x1a0dc9ec, 0x82adfbf0,
-  0x1a07a311, 0x82acb4b0, 0x1a017c27, 0x82ab6dbd, 0x19fb552c, 0x82aa2717,
-    0x19f52e22, 0x82a8e0bf,
-  0x19ef0707, 0x82a79ab3, 0x19e8dfdc, 0x82a654f6, 0x19e2b8a2, 0x82a50f85,
-    0x19dc9157, 0x82a3ca62,
-  0x19d669fc, 0x82a2858c, 0x19d04292, 0x82a14104, 0x19ca1b17, 0x829ffcc8,
-    0x19c3f38d, 0x829eb8db,
-  0x19bdcbf3, 0x829d753a, 0x19b7a449, 0x829c31e7, 0x19b17c8f, 0x829aeee1,
-    0x19ab54c5, 0x8299ac29,
-  0x19a52ceb, 0x829869be, 0x199f0502, 0x829727a0, 0x1998dd09, 0x8295e5cf,
-    0x1992b4ff, 0x8294a44c,
-  0x198c8ce7, 0x82936317, 0x198664be, 0x8292222e, 0x19803c86, 0x8290e194,
-    0x197a143e, 0x828fa146,
-  0x1973ebe6, 0x828e6146, 0x196dc37e, 0x828d2193, 0x19679b07, 0x828be22e,
-    0x19617280, 0x828aa316,
-  0x195b49ea, 0x8289644b, 0x19552144, 0x828825ce, 0x194ef88e, 0x8286e79e,
-    0x1948cfc8, 0x8285a9bb,
-  0x1942a6f3, 0x82846c26, 0x193c7e0f, 0x82832edf, 0x1936551b, 0x8281f1e4,
-    0x19302c17, 0x8280b538,
-  0x192a0304, 0x827f78d8, 0x1923d9e1, 0x827e3cc6, 0x191db0af, 0x827d0102,
-    0x1917876d, 0x827bc58a,
-  0x19115e1c, 0x827a8a61, 0x190b34bb, 0x82794f84, 0x19050b4b, 0x827814f6,
-    0x18fee1cb, 0x8276dab4,
-  0x18f8b83c, 0x8275a0c0, 0x18f28e9e, 0x8274671a, 0x18ec64f0, 0x82732dc0,
-    0x18e63b33, 0x8271f4b5,
-  0x18e01167, 0x8270bbf7, 0x18d9e78b, 0x826f8386, 0x18d3bda0, 0x826e4b62,
-    0x18cd93a5, 0x826d138d,
-  0x18c7699b, 0x826bdc04, 0x18c13f82, 0x826aa4c9, 0x18bb155a, 0x82696ddc,
-    0x18b4eb22, 0x8268373c,
-  0x18aec0db, 0x826700e9, 0x18a89685, 0x8265cae4, 0x18a26c20, 0x8264952d,
-    0x189c41ab, 0x82635fc2,
-  0x18961728, 0x82622aa6, 0x188fec95, 0x8260f5d7, 0x1889c1f3, 0x825fc155,
-    0x18839742, 0x825e8d21,
-  0x187d6c82, 0x825d593a, 0x187741b2, 0x825c25a1, 0x187116d4, 0x825af255,
-    0x186aebe6, 0x8259bf57,
-  0x1864c0ea, 0x82588ca7, 0x185e95de, 0x82575a44, 0x18586ac3, 0x8256282e,
-    0x18523f9a, 0x8254f666,
-  0x184c1461, 0x8253c4eb, 0x1845e919, 0x825293be, 0x183fbdc3, 0x825162df,
-    0x1839925d, 0x8250324d,
-  0x183366e9, 0x824f0208, 0x182d3b65, 0x824dd211, 0x18270fd3, 0x824ca268,
-    0x1820e431, 0x824b730c,
-  0x181ab881, 0x824a43fe, 0x18148cc2, 0x8249153d, 0x180e60f4, 0x8247e6ca,
-    0x18083518, 0x8246b8a4,
-  0x1802092c, 0x82458acc, 0x17fbdd32, 0x82445d41, 0x17f5b129, 0x82433004,
-    0x17ef8511, 0x82420315,
-  0x17e958ea, 0x8240d673, 0x17e32cb5, 0x823faa1e, 0x17dd0070, 0x823e7e18,
-    0x17d6d41d, 0x823d525e,
-  0x17d0a7bc, 0x823c26f3, 0x17ca7b4c, 0x823afbd5, 0x17c44ecd, 0x8239d104,
-    0x17be223f, 0x8238a681,
-  0x17b7f5a3, 0x82377c4c, 0x17b1c8f8, 0x82365264, 0x17ab9c3e, 0x823528ca,
-    0x17a56f76, 0x8233ff7e,
-  0x179f429f, 0x8232d67f, 0x179915ba, 0x8231adce, 0x1792e8c6, 0x8230856a,
-    0x178cbbc4, 0x822f5d54,
-  0x17868eb3, 0x822e358b, 0x17806194, 0x822d0e10, 0x177a3466, 0x822be6e3,
-    0x17740729, 0x822ac004,
-  0x176dd9de, 0x82299971, 0x1767ac85, 0x8228732d, 0x17617f1d, 0x82274d36,
-    0x175b51a7, 0x8226278d,
-  0x17552422, 0x82250232, 0x174ef68f, 0x8223dd24, 0x1748c8ee, 0x8222b863,
-    0x17429b3e, 0x822193f1,
-  0x173c6d80, 0x82206fcc, 0x17363fb4, 0x821f4bf5, 0x173011d9, 0x821e286b,
-    0x1729e3f0, 0x821d052f,
-  0x1723b5f9, 0x821be240, 0x171d87f3, 0x821abfa0, 0x171759df, 0x82199d4d,
-    0x17112bbd, 0x82187b47,
-  0x170afd8d, 0x82175990, 0x1704cf4f, 0x82163826, 0x16fea102, 0x82151709,
-    0x16f872a7, 0x8213f63a,
-  0x16f2443e, 0x8212d5b9, 0x16ec15c7, 0x8211b586, 0x16e5e741, 0x821095a0,
-    0x16dfb8ae, 0x820f7608,
-  0x16d98a0c, 0x820e56be, 0x16d35b5c, 0x820d37c1, 0x16cd2c9f, 0x820c1912,
-    0x16c6fdd3, 0x820afab1,
-  0x16c0cef9, 0x8209dc9e, 0x16baa011, 0x8208bed8, 0x16b4711b, 0x8207a160,
-    0x16ae4217, 0x82068435,
-  0x16a81305, 0x82056758, 0x16a1e3e5, 0x82044ac9, 0x169bb4b7, 0x82032e88,
-    0x1695857b, 0x82021294,
-  0x168f5632, 0x8200f6ef, 0x168926da, 0x81ffdb96, 0x1682f774, 0x81fec08c,
-    0x167cc801, 0x81fda5cf,
-  0x1676987f, 0x81fc8b60, 0x167068f0, 0x81fb713f, 0x166a3953, 0x81fa576c,
-    0x166409a8, 0x81f93de6,
-  0x165dd9f0, 0x81f824ae, 0x1657aa29, 0x81f70bc3, 0x16517a55, 0x81f5f327,
-    0x164b4a73, 0x81f4dad8,
-  0x16451a83, 0x81f3c2d7, 0x163eea86, 0x81f2ab24, 0x1638ba7a, 0x81f193be,
-    0x16328a61, 0x81f07ca6,
-  0x162c5a3b, 0x81ef65dc, 0x16262a06, 0x81ee4f60, 0x161ff9c4, 0x81ed3932,
-    0x1619c975, 0x81ec2351,
-  0x16139918, 0x81eb0dbe, 0x160d68ad, 0x81e9f879, 0x16073834, 0x81e8e381,
-    0x160107ae, 0x81e7ced8,
-  0x15fad71b, 0x81e6ba7c, 0x15f4a679, 0x81e5a66e, 0x15ee75cb, 0x81e492ad,
-    0x15e8450e, 0x81e37f3b,
-  0x15e21445, 0x81e26c16, 0x15dbe36d, 0x81e1593f, 0x15d5b288, 0x81e046b6,
-    0x15cf8196, 0x81df347b,
-  0x15c95097, 0x81de228d, 0x15c31f89, 0x81dd10ee, 0x15bcee6f, 0x81dbff9c,
-    0x15b6bd47, 0x81daee98,
-  0x15b08c12, 0x81d9dde1, 0x15aa5acf, 0x81d8cd79, 0x15a4297f, 0x81d7bd5e,
-    0x159df821, 0x81d6ad92,
-  0x1597c6b7, 0x81d59e13, 0x1591953e, 0x81d48ee1, 0x158b63b9, 0x81d37ffe,
-    0x15853226, 0x81d27169,
-  0x157f0086, 0x81d16321, 0x1578ced9, 0x81d05527, 0x15729d1f, 0x81cf477b,
-    0x156c6b57, 0x81ce3a1d,
-  0x15663982, 0x81cd2d0c, 0x156007a0, 0x81cc204a, 0x1559d5b1, 0x81cb13d5,
-    0x1553a3b4, 0x81ca07af,
-  0x154d71aa, 0x81c8fbd6, 0x15473f94, 0x81c7f04b, 0x15410d70, 0x81c6e50d,
-    0x153adb3f, 0x81c5da1e,
-  0x1534a901, 0x81c4cf7d, 0x152e76b5, 0x81c3c529, 0x1528445d, 0x81c2bb23,
-    0x152211f8, 0x81c1b16b,
-  0x151bdf86, 0x81c0a801, 0x1515ad06, 0x81bf9ee5, 0x150f7a7a, 0x81be9617,
-    0x150947e1, 0x81bd8d97,
-  0x1503153a, 0x81bc8564, 0x14fce287, 0x81bb7d7f, 0x14f6afc7, 0x81ba75e9,
-    0x14f07cf9, 0x81b96ea0,
-  0x14ea4a1f, 0x81b867a5, 0x14e41738, 0x81b760f8, 0x14dde445, 0x81b65a99,
-    0x14d7b144, 0x81b55488,
-  0x14d17e36, 0x81b44ec4, 0x14cb4b1c, 0x81b3494f, 0x14c517f4, 0x81b24427,
-    0x14bee4c0, 0x81b13f4e,
-  0x14b8b17f, 0x81b03ac2, 0x14b27e32, 0x81af3684, 0x14ac4ad7, 0x81ae3294,
-    0x14a61770, 0x81ad2ef2,
-  0x149fe3fc, 0x81ac2b9e, 0x1499b07c, 0x81ab2898, 0x14937cee, 0x81aa25e0,
-    0x148d4954, 0x81a92376,
-  0x148715ae, 0x81a82159, 0x1480e1fa, 0x81a71f8b, 0x147aae3a, 0x81a61e0b,
-    0x14747a6d, 0x81a51cd8,
-  0x146e4694, 0x81a41bf4, 0x146812ae, 0x81a31b5d, 0x1461debc, 0x81a21b14,
-    0x145baabd, 0x81a11b1a,
-  0x145576b1, 0x81a01b6d, 0x144f4299, 0x819f1c0e, 0x14490e74, 0x819e1cfd,
-    0x1442da43, 0x819d1e3a,
-  0x143ca605, 0x819c1fc5, 0x143671bb, 0x819b219e, 0x14303d65, 0x819a23c5,
-    0x142a0902, 0x8199263a,
-  0x1423d492, 0x819828fd, 0x141da016, 0x81972c0e, 0x14176b8e, 0x81962f6d,
-    0x141136f9, 0x8195331a,
-  0x140b0258, 0x81943715, 0x1404cdaa, 0x81933b5e, 0x13fe98f1, 0x81923ff4,
-    0x13f8642a, 0x819144d9,
-  0x13f22f58, 0x81904a0c, 0x13ebfa79, 0x818f4f8d, 0x13e5c58e, 0x818e555c,
-    0x13df9097, 0x818d5b78,
-  0x13d95b93, 0x818c61e3, 0x13d32683, 0x818b689c, 0x13ccf167, 0x818a6fa3,
-    0x13c6bc3f, 0x818976f8,
-  0x13c0870a, 0x81887e9a, 0x13ba51ca, 0x8187868b, 0x13b41c7d, 0x81868eca,
-    0x13ade724, 0x81859757,
-  0x13a7b1bf, 0x8184a032, 0x13a17c4d, 0x8183a95b, 0x139b46d0, 0x8182b2d1,
-    0x13951146, 0x8181bc96,
-  0x138edbb1, 0x8180c6a9, 0x1388a60f, 0x817fd10a, 0x13827062, 0x817edbb9,
-    0x137c3aa8, 0x817de6b6,
-  0x137604e2, 0x817cf201, 0x136fcf10, 0x817bfd9b, 0x13699933, 0x817b0982,
-    0x13636349, 0x817a15b7,
-  0x135d2d53, 0x8179223a, 0x1356f752, 0x81782f0b, 0x1350c144, 0x81773c2b,
-    0x134a8b2b, 0x81764998,
-  0x13445505, 0x81755754, 0x133e1ed4, 0x8174655d, 0x1337e897, 0x817373b5,
-    0x1331b24e, 0x8172825a,
-  0x132b7bf9, 0x8171914e, 0x13254599, 0x8170a090, 0x131f0f2c, 0x816fb020,
-    0x1318d8b4, 0x816ebffe,
-  0x1312a230, 0x816dd02a, 0x130c6ba0, 0x816ce0a4, 0x13063505, 0x816bf16c,
-    0x12fffe5d, 0x816b0282,
-  0x12f9c7aa, 0x816a13e6, 0x12f390ec, 0x81692599, 0x12ed5a21, 0x81683799,
-    0x12e7234b, 0x816749e8,
-  0x12e0ec6a, 0x81665c84, 0x12dab57c, 0x81656f6f, 0x12d47e83, 0x816482a8,
-    0x12ce477f, 0x8163962f,
-  0x12c8106f, 0x8162aa04, 0x12c1d953, 0x8161be27, 0x12bba22b, 0x8160d298,
-    0x12b56af9, 0x815fe758,
-  0x12af33ba, 0x815efc65, 0x12a8fc70, 0x815e11c1, 0x12a2c51b, 0x815d276a,
-    0x129c8dba, 0x815c3d62,
-  0x1296564d, 0x815b53a8, 0x12901ed5, 0x815a6a3c, 0x1289e752, 0x8159811e,
-    0x1283afc3, 0x8158984e,
-  0x127d7829, 0x8157afcd, 0x12774083, 0x8156c799, 0x127108d2, 0x8155dfb4,
-    0x126ad116, 0x8154f81d,
-  0x1264994e, 0x815410d4, 0x125e617b, 0x815329d9, 0x1258299c, 0x8152432c,
-    0x1251f1b3, 0x81515ccd,
-  0x124bb9be, 0x815076bd, 0x124581bd, 0x814f90fb, 0x123f49b2, 0x814eab86,
-    0x1239119b, 0x814dc660,
-  0x1232d979, 0x814ce188, 0x122ca14b, 0x814bfcff, 0x12266913, 0x814b18c3,
-    0x122030cf, 0x814a34d6,
-  0x1219f880, 0x81495136, 0x1213c026, 0x81486de5, 0x120d87c1, 0x81478ae2,
-    0x12074f50, 0x8146a82e,
-  0x120116d5, 0x8145c5c7, 0x11fade4e, 0x8144e3ae, 0x11f4a5bd, 0x814401e4,
-    0x11ee6d20, 0x81432068,
-  0x11e83478, 0x81423f3a, 0x11e1fbc5, 0x81415e5a, 0x11dbc307, 0x81407dc9,
-    0x11d58a3e, 0x813f9d86,
-  0x11cf516a, 0x813ebd90, 0x11c9188b, 0x813ddde9, 0x11c2dfa2, 0x813cfe91,
-    0x11bca6ad, 0x813c1f86,
-  0x11b66dad, 0x813b40ca, 0x11b034a2, 0x813a625b, 0x11a9fb8d, 0x8139843b,
-    0x11a3c26c, 0x8138a66a,
-  0x119d8941, 0x8137c8e6, 0x1197500a, 0x8136ebb1, 0x119116c9, 0x81360ec9,
-    0x118add7d, 0x81353230,
-  0x1184a427, 0x813455e6, 0x117e6ac5, 0x813379e9, 0x11783159, 0x81329e3b,
-    0x1171f7e2, 0x8131c2db,
-  0x116bbe60, 0x8130e7c9, 0x116584d3, 0x81300d05, 0x115f4b3c, 0x812f3290,
-    0x1159119a, 0x812e5868,
-  0x1152d7ed, 0x812d7e8f, 0x114c9e35, 0x812ca505, 0x11466473, 0x812bcbc8,
-    0x11402aa6, 0x812af2da,
-  0x1139f0cf, 0x812a1a3a, 0x1133b6ed, 0x812941e8, 0x112d7d00, 0x812869e4,
-    0x11274309, 0x8127922f,
-  0x11210907, 0x8126bac8, 0x111acefb, 0x8125e3af, 0x111494e4, 0x81250ce4,
-    0x110e5ac2, 0x81243668,
-  0x11082096, 0x8123603a, 0x1101e65f, 0x81228a5a, 0x10fbac1e, 0x8121b4c8,
-    0x10f571d3, 0x8120df85,
-  0x10ef377d, 0x81200a90, 0x10e8fd1c, 0x811f35e9, 0x10e2c2b2, 0x811e6191,
-    0x10dc883c, 0x811d8d86,
-  0x10d64dbd, 0x811cb9ca, 0x10d01333, 0x811be65d, 0x10c9d89e, 0x811b133d,
-    0x10c39dff, 0x811a406c,
-  0x10bd6356, 0x81196de9, 0x10b728a3, 0x81189bb4, 0x10b0ede5, 0x8117c9ce,
-    0x10aab31d, 0x8116f836,
-  0x10a4784b, 0x811626ec, 0x109e3d6e, 0x811555f1, 0x10980287, 0x81148544,
-    0x1091c796, 0x8113b4e5,
-  0x108b8c9b, 0x8112e4d4, 0x10855195, 0x81121512, 0x107f1686, 0x8111459e,
-    0x1078db6c, 0x81107678,
-  0x1072a048, 0x810fa7a0, 0x106c651a, 0x810ed917, 0x106629e1, 0x810e0adc,
-    0x105fee9f, 0x810d3cf0,
-  0x1059b352, 0x810c6f52, 0x105377fc, 0x810ba202, 0x104d3c9b, 0x810ad500,
-    0x10470130, 0x810a084d,
-  0x1040c5bb, 0x81093be8, 0x103a8a3d, 0x81086fd1, 0x10344eb4, 0x8107a409,
-    0x102e1321, 0x8106d88f,
-  0x1027d784, 0x81060d63, 0x10219bdd, 0x81054286, 0x101b602d, 0x810477f7,
-    0x10152472, 0x8103adb6,
-  0x100ee8ad, 0x8102e3c4, 0x1008acdf, 0x81021a20, 0x10027107, 0x810150ca,
-    0xffc3524, 0x810087c3,
-  0xff5f938, 0x80ffbf0a, 0xfefbd42, 0x80fef69f, 0xfe98143, 0x80fe2e83,
-    0xfe34539, 0x80fd66b5,
-  0xfdd0926, 0x80fc9f35, 0xfd6cd08, 0x80fbd804, 0xfd090e1, 0x80fb1121,
-    0xfca54b1, 0x80fa4a8c,
-  0xfc41876, 0x80f98446, 0xfbddc32, 0x80f8be4e, 0xfb79fe4, 0x80f7f8a4,
-    0xfb1638d, 0x80f73349,
-  0xfab272b, 0x80f66e3c, 0xfa4eac0, 0x80f5a97e, 0xf9eae4c, 0x80f4e50e,
-    0xf9871ce, 0x80f420ec,
-  0xf923546, 0x80f35d19, 0xf8bf8b4, 0x80f29994, 0xf85bc19, 0x80f1d65d,
-    0xf7f7f75, 0x80f11375,
-  0xf7942c7, 0x80f050db, 0xf73060f, 0x80ef8e90, 0xf6cc94e, 0x80eecc93,
-    0xf668c83, 0x80ee0ae4,
-  0xf604faf, 0x80ed4984, 0xf5a12d1, 0x80ec8872, 0xf53d5ea, 0x80ebc7ae,
-    0xf4d98f9, 0x80eb0739,
-  0xf475bff, 0x80ea4712, 0xf411efb, 0x80e9873a, 0xf3ae1ee, 0x80e8c7b0,
-    0xf34a4d8, 0x80e80874,
-  0xf2e67b8, 0x80e74987, 0xf282a8f, 0x80e68ae8, 0xf21ed5d, 0x80e5cc98,
-    0xf1bb021, 0x80e50e96,
-  0xf1572dc, 0x80e450e2, 0xf0f358e, 0x80e3937d, 0xf08f836, 0x80e2d666,
-    0xf02bad5, 0x80e2199e,
-  0xefc7d6b, 0x80e15d24, 0xef63ff7, 0x80e0a0f8, 0xef0027b, 0x80dfe51b,
-    0xee9c4f5, 0x80df298c,
-  0xee38766, 0x80de6e4c, 0xedd49ce, 0x80ddb35a, 0xed70c2c, 0x80dcf8b7,
-    0xed0ce82, 0x80dc3e62,
-  0xeca90ce, 0x80db845b, 0xec45311, 0x80dacaa3, 0xebe154b, 0x80da1139,
-    0xeb7d77c, 0x80d9581e,
-  0xeb199a4, 0x80d89f51, 0xeab5bc3, 0x80d7e6d3, 0xea51dd8, 0x80d72ea3,
-    0xe9edfe5, 0x80d676c1,
-  0xe98a1e9, 0x80d5bf2e, 0xe9263e3, 0x80d507e9, 0xe8c25d5, 0x80d450f3,
-    0xe85e7be, 0x80d39a4b,
-  0xe7fa99e, 0x80d2e3f2, 0xe796b74, 0x80d22de7, 0xe732d42, 0x80d1782a,
-    0xe6cef07, 0x80d0c2bc,
-  0xe66b0c3, 0x80d00d9d, 0xe607277, 0x80cf58cc, 0xe5a3421, 0x80cea449,
-    0xe53f5c2, 0x80cdf015,
-  0xe4db75b, 0x80cd3c2f, 0xe4778eb, 0x80cc8898, 0xe413a72, 0x80cbd54f,
-    0xe3afbf0, 0x80cb2255,
-  0xe34bd66, 0x80ca6fa9, 0xe2e7ed2, 0x80c9bd4c, 0xe284036, 0x80c90b3d,
-    0xe220191, 0x80c8597c,
-  0xe1bc2e4, 0x80c7a80a, 0xe15842e, 0x80c6f6e7, 0xe0f456f, 0x80c64612,
-    0xe0906a7, 0x80c5958b,
-  0xe02c7d7, 0x80c4e553, 0xdfc88fe, 0x80c4356a, 0xdf64a1c, 0x80c385cf,
-    0xdf00b32, 0x80c2d682,
-  0xde9cc40, 0x80c22784, 0xde38d44, 0x80c178d4, 0xddd4e40, 0x80c0ca73,
-    0xdd70f34, 0x80c01c60,
-  0xdd0d01f, 0x80bf6e9c, 0xdca9102, 0x80bec127, 0xdc451dc, 0x80be13ff,
-    0xdbe12ad, 0x80bd6727,
-  0xdb7d376, 0x80bcba9d, 0xdb19437, 0x80bc0e61, 0xdab54ef, 0x80bb6274,
-    0xda5159f, 0x80bab6d5,
-  0xd9ed646, 0x80ba0b85, 0xd9896e5, 0x80b96083, 0xd92577b, 0x80b8b5d0,
-    0xd8c1809, 0x80b80b6c,
-  0xd85d88f, 0x80b76156, 0xd7f990c, 0x80b6b78e, 0xd795982, 0x80b60e15,
-    0xd7319ee, 0x80b564ea,
-  0xd6cda53, 0x80b4bc0e, 0xd669aaf, 0x80b41381, 0xd605b03, 0x80b36b42,
-    0xd5a1b4f, 0x80b2c351,
-  0xd53db92, 0x80b21baf, 0xd4d9bcd, 0x80b1745c, 0xd475c00, 0x80b0cd57,
-    0xd411c2b, 0x80b026a1,
-  0xd3adc4e, 0x80af8039, 0xd349c68, 0x80aeda20, 0xd2e5c7b, 0x80ae3455,
-    0xd281c85, 0x80ad8ed9,
-  0xd21dc87, 0x80ace9ab, 0xd1b9c81, 0x80ac44cc, 0xd155c73, 0x80aba03b,
-    0xd0f1c5d, 0x80aafbf9,
-  0xd08dc3f, 0x80aa5806, 0xd029c18, 0x80a9b461, 0xcfc5bea, 0x80a9110b,
-    0xcf61bb4, 0x80a86e03,
-  0xcefdb76, 0x80a7cb49, 0xce99b2f, 0x80a728df, 0xce35ae1, 0x80a686c2,
-    0xcdd1a8b, 0x80a5e4f5,
-  0xcd6da2d, 0x80a54376, 0xcd099c7, 0x80a4a245, 0xcca5959, 0x80a40163,
-    0xcc418e3, 0x80a360d0,
-  0xcbdd865, 0x80a2c08b, 0xcb797e0, 0x80a22095, 0xcb15752, 0x80a180ed,
-    0xcab16bd, 0x80a0e194,
-  0xca4d620, 0x80a04289, 0xc9e957b, 0x809fa3cd, 0xc9854cf, 0x809f0560,
-    0xc92141a, 0x809e6741,
-  0xc8bd35e, 0x809dc971, 0xc85929a, 0x809d2bef, 0xc7f51cf, 0x809c8ebc,
-    0xc7910fb, 0x809bf1d7,
-  0xc72d020, 0x809b5541, 0xc6c8f3e, 0x809ab8fa, 0xc664e53, 0x809a1d01,
-    0xc600d61, 0x80998157,
-  0xc59cc68, 0x8098e5fb, 0xc538b66, 0x80984aee, 0xc4d4a5d, 0x8097b030,
-    0xc47094d, 0x809715c0,
-  0xc40c835, 0x80967b9f, 0xc3a8715, 0x8095e1cc, 0xc3445ee, 0x80954848,
-    0xc2e04c0, 0x8094af13,
-  0xc27c389, 0x8094162c, 0xc21824c, 0x80937d93, 0xc1b4107, 0x8092e54a,
-    0xc14ffba, 0x80924d4f,
-  0xc0ebe66, 0x8091b5a2, 0xc087d0a, 0x80911e44, 0xc023ba7, 0x80908735,
-    0xbfbfa3d, 0x808ff074,
-  0xbf5b8cb, 0x808f5a02, 0xbef7752, 0x808ec3df, 0xbe935d2, 0x808e2e0a,
-    0xbe2f44a, 0x808d9884,
-  0xbdcb2bb, 0x808d034c, 0xbd67124, 0x808c6e63, 0xbd02f87, 0x808bd9c9,
-    0xbc9ede2, 0x808b457d,
-  0xbc3ac35, 0x808ab180, 0xbbd6a82, 0x808a1dd2, 0xbb728c7, 0x80898a72,
-    0xbb0e705, 0x8088f761,
-  0xbaaa53b, 0x8088649e, 0xba4636b, 0x8087d22a, 0xb9e2193, 0x80874005,
-    0xb97dfb5, 0x8086ae2e,
-  0xb919dcf, 0x80861ca6, 0xb8b5be1, 0x80858b6c, 0xb8519ed, 0x8084fa82,
-    0xb7ed7f2, 0x808469e5,
-  0xb7895f0, 0x8083d998, 0xb7253e6, 0x80834999, 0xb6c11d5, 0x8082b9e9,
-    0xb65cfbe, 0x80822a87,
-  0xb5f8d9f, 0x80819b74, 0xb594b7a, 0x80810cb0, 0xb53094d, 0x80807e3a,
-    0xb4cc719, 0x807ff013,
-  0xb4684df, 0x807f623b, 0xb40429d, 0x807ed4b1, 0xb3a0055, 0x807e4776,
-    0xb33be05, 0x807dba89,
-  0xb2d7baf, 0x807d2dec, 0xb273952, 0x807ca19c, 0xb20f6ee, 0x807c159c,
-    0xb1ab483, 0x807b89ea,
-  0xb147211, 0x807afe87, 0xb0e2f98, 0x807a7373, 0xb07ed19, 0x8079e8ad,
-    0xb01aa92, 0x80795e36,
-  0xafb6805, 0x8078d40d, 0xaf52571, 0x80784a33, 0xaeee2d7, 0x8077c0a8,
-    0xae8a036, 0x8077376c,
-  0xae25d8d, 0x8076ae7e, 0xadc1adf, 0x807625df, 0xad5d829, 0x80759d8e,
-    0xacf956d, 0x8075158c,
-  0xac952aa, 0x80748dd9, 0xac30fe1, 0x80740675, 0xabccd11, 0x80737f5f,
-    0xab68a3a, 0x8072f898,
-  0xab0475c, 0x8072721f, 0xaaa0478, 0x8071ebf6, 0xaa3c18e, 0x8071661a,
-    0xa9d7e9d, 0x8070e08e,
-  0xa973ba5, 0x80705b50, 0xa90f8a7, 0x806fd661, 0xa8ab5a2, 0x806f51c1,
-    0xa847297, 0x806ecd6f,
-  0xa7e2f85, 0x806e496c, 0xa77ec6d, 0x806dc5b8, 0xa71a94f, 0x806d4253,
-    0xa6b662a, 0x806cbf3c,
-  0xa6522fe, 0x806c3c74, 0xa5edfcc, 0x806bb9fa, 0xa589c94, 0x806b37cf,
-    0xa525955, 0x806ab5f3,
-  0xa4c1610, 0x806a3466, 0xa45d2c5, 0x8069b327, 0xa3f8f73, 0x80693237,
-    0xa394c1b, 0x8068b196,
-  0xa3308bd, 0x80683143, 0xa2cc558, 0x8067b13f, 0xa2681ed, 0x8067318a,
-    0xa203e7c, 0x8066b224,
-  0xa19fb04, 0x8066330c, 0xa13b787, 0x8065b443, 0xa0d7403, 0x806535c9,
-    0xa073079, 0x8064b79d,
-  0xa00ece8, 0x806439c0, 0x9faa952, 0x8063bc32, 0x9f465b5, 0x80633ef3,
-    0x9ee2213, 0x8062c202,
-  0x9e7de6a, 0x80624560, 0x9e19abb, 0x8061c90c, 0x9db5706, 0x80614d08,
-    0x9d5134b, 0x8060d152,
-  0x9cecf89, 0x806055eb, 0x9c88bc2, 0x805fdad2, 0x9c247f5, 0x805f6009,
-    0x9bc0421, 0x805ee58e,
-  0x9b5c048, 0x805e6b62, 0x9af7c69, 0x805df184, 0x9a93884, 0x805d77f5,
-    0x9a2f498, 0x805cfeb5,
-  0x99cb0a7, 0x805c85c4, 0x9966cb0, 0x805c0d21, 0x99028b3, 0x805b94ce,
-    0x989e4b0, 0x805b1cc8,
-  0x983a0a7, 0x805aa512, 0x97d5c99, 0x805a2daa, 0x9771884, 0x8059b692,
-    0x970d46a, 0x80593fc7,
-  0x96a9049, 0x8058c94c, 0x9644c23, 0x8058531f, 0x95e07f8, 0x8057dd41,
-    0x957c3c6, 0x805767b2,
-  0x9517f8f, 0x8056f272, 0x94b3b52, 0x80567d80, 0x944f70f, 0x805608dd,
-    0x93eb2c6, 0x80559489,
-  0x9386e78, 0x80552084, 0x9322a24, 0x8054accd, 0x92be5ca, 0x80543965,
-    0x925a16b, 0x8053c64c,
-  0x91f5d06, 0x80535381, 0x919189c, 0x8052e106, 0x912d42c, 0x80526ed9,
-    0x90c8fb6, 0x8051fcfb,
-  0x9064b3a, 0x80518b6b, 0x90006ba, 0x80511a2b, 0x8f9c233, 0x8050a939,
-    0x8f37da7, 0x80503896,
-  0x8ed3916, 0x804fc841, 0x8e6f47f, 0x804f583c, 0x8e0afe2, 0x804ee885,
-    0x8da6b40, 0x804e791d,
-  0x8d42699, 0x804e0a04, 0x8cde1ec, 0x804d9b39, 0x8c79d3a, 0x804d2cbd,
-    0x8c15882, 0x804cbe90,
-  0x8bb13c5, 0x804c50b2, 0x8b4cf02, 0x804be323, 0x8ae8a3a, 0x804b75e2,
-    0x8a8456d, 0x804b08f0,
-  0x8a2009a, 0x804a9c4d, 0x89bbbc3, 0x804a2ff9, 0x89576e5, 0x8049c3f3,
-    0x88f3203, 0x8049583d,
-  0x888ed1b, 0x8048ecd5, 0x882a82e, 0x804881bb, 0x87c633c, 0x804816f1,
-    0x8761e44, 0x8047ac75,
-  0x86fd947, 0x80474248, 0x8699445, 0x8046d86a, 0x8634f3e, 0x80466edb,
-    0x85d0a32, 0x8046059b,
-  0x856c520, 0x80459ca9, 0x850800a, 0x80453406, 0x84a3aee, 0x8044cbb2,
-    0x843f5cd, 0x804463ad,
-  0x83db0a7, 0x8043fbf6, 0x8376b7c, 0x8043948e, 0x831264c, 0x80432d75,
-    0x82ae117, 0x8042c6ab,
-  0x8249bdd, 0x80426030, 0x81e569d, 0x8041fa03, 0x8181159, 0x80419425,
-    0x811cc10, 0x80412e96,
-  0x80b86c2, 0x8040c956, 0x805416e, 0x80406465, 0x7fefc16, 0x803fffc2,
-    0x7f8b6b9, 0x803f9b6f,
-  0x7f27157, 0x803f376a, 0x7ec2bf0, 0x803ed3b3, 0x7e5e685, 0x803e704c,
-    0x7dfa114, 0x803e0d34,
-  0x7d95b9e, 0x803daa6a, 0x7d31624, 0x803d47ef, 0x7ccd0a5, 0x803ce5c3,
-    0x7c68b21, 0x803c83e5,
-  0x7c04598, 0x803c2257, 0x7ba000b, 0x803bc117, 0x7b3ba78, 0x803b6026,
-    0x7ad74e1, 0x803aff84,
-  0x7a72f45, 0x803a9f31, 0x7a0e9a5, 0x803a3f2d, 0x79aa400, 0x8039df77,
-    0x7945e56, 0x80398010,
-  0x78e18a7, 0x803920f8, 0x787d2f4, 0x8038c22f, 0x7818d3c, 0x803863b5,
-    0x77b4780, 0x80380589,
-  0x77501be, 0x8037a7ac, 0x76ebbf9, 0x80374a1f, 0x768762e, 0x8036ece0,
-    0x762305f, 0x80368fef,
-  0x75bea8c, 0x8036334e, 0x755a4b4, 0x8035d6fb, 0x74f5ed7, 0x80357af8,
-    0x74918f6, 0x80351f43,
-  0x742d311, 0x8034c3dd, 0x73c8d27, 0x803468c5, 0x7364738, 0x80340dfd,
-    0x7300145, 0x8033b383,
-  0x729bb4e, 0x80335959, 0x7237552, 0x8032ff7d, 0x71d2f52, 0x8032a5ef,
-    0x716e94e, 0x80324cb1,
-  0x710a345, 0x8031f3c2, 0x70a5d37, 0x80319b21, 0x7041726, 0x803142cf,
-    0x6fdd110, 0x8030eacd,
-  0x6f78af6, 0x80309318, 0x6f144d7, 0x80303bb3, 0x6eafeb4, 0x802fe49d,
-    0x6e4b88d, 0x802f8dd5,
-  0x6de7262, 0x802f375d, 0x6d82c32, 0x802ee133, 0x6d1e5fe, 0x802e8b58,
-    0x6cb9fc6, 0x802e35cb,
-  0x6c5598a, 0x802de08e, 0x6bf1349, 0x802d8ba0, 0x6b8cd05, 0x802d3700,
-    0x6b286bc, 0x802ce2af,
-  0x6ac406f, 0x802c8ead, 0x6a5fa1e, 0x802c3afa, 0x69fb3c9, 0x802be796,
-    0x6996d70, 0x802b9480,
-  0x6932713, 0x802b41ba, 0x68ce0b2, 0x802aef42, 0x6869a4c, 0x802a9d19,
-    0x68053e3, 0x802a4b3f,
-  0x67a0d76, 0x8029f9b4, 0x673c704, 0x8029a878, 0x66d808f, 0x8029578b,
-    0x6673a16, 0x802906ec,
-  0x660f398, 0x8028b69c, 0x65aad17, 0x8028669b, 0x6546692, 0x802816e9,
-    0x64e2009, 0x8027c786,
-  0x647d97c, 0x80277872, 0x64192eb, 0x802729ad, 0x63b4c57, 0x8026db36,
-    0x63505be, 0x80268d0e,
-  0x62ebf22, 0x80263f36, 0x6287882, 0x8025f1ac, 0x62231de, 0x8025a471,
-    0x61beb36, 0x80255784,
-  0x615a48b, 0x80250ae7, 0x60f5ddc, 0x8024be99, 0x6091729, 0x80247299,
-    0x602d072, 0x802426e8,
-  0x5fc89b8, 0x8023db86, 0x5f642fa, 0x80239073, 0x5effc38, 0x802345af,
-    0x5e9b572, 0x8022fb3a,
-  0x5e36ea9, 0x8022b114, 0x5dd27dd, 0x8022673c, 0x5d6e10c, 0x80221db3,
-    0x5d09a38, 0x8021d47a,
-  0x5ca5361, 0x80218b8f, 0x5c40c86, 0x802142f3, 0x5bdc5a7, 0x8020faa6,
-    0x5b77ec5, 0x8020b2a7,
-  0x5b137df, 0x80206af8, 0x5aaf0f6, 0x80202397, 0x5a4aa09, 0x801fdc86,
-    0x59e6319, 0x801f95c3,
-  0x5981c26, 0x801f4f4f, 0x591d52f, 0x801f092a, 0x58b8e34, 0x801ec354,
-    0x5854736, 0x801e7dcd,
-  0x57f0035, 0x801e3895, 0x578b930, 0x801df3ab, 0x5727228, 0x801daf11,
-    0x56c2b1c, 0x801d6ac5,
-  0x565e40d, 0x801d26c8, 0x55f9cfb, 0x801ce31a, 0x55955e6, 0x801c9fbb,
-    0x5530ecd, 0x801c5cab,
-  0x54cc7b1, 0x801c19ea, 0x5468092, 0x801bd777, 0x540396f, 0x801b9554,
-    0x539f249, 0x801b537f,
-  0x533ab20, 0x801b11fa, 0x52d63f4, 0x801ad0c3, 0x5271cc4, 0x801a8fdb,
-    0x520d592, 0x801a4f42,
-  0x51a8e5c, 0x801a0ef8, 0x5144723, 0x8019cefd, 0x50dffe7, 0x80198f50,
-    0x507b8a8, 0x80194ff3,
-  0x5017165, 0x801910e4, 0x4fb2a20, 0x8018d225, 0x4f4e2d8, 0x801893b4,
-    0x4ee9b8c, 0x80185592,
-  0x4e8543e, 0x801817bf, 0x4e20cec, 0x8017da3b, 0x4dbc597, 0x80179d06,
-    0x4d57e40, 0x80176020,
-  0x4cf36e5, 0x80172388, 0x4c8ef88, 0x8016e740, 0x4c2a827, 0x8016ab46,
-    0x4bc60c4, 0x80166f9c,
-  0x4b6195d, 0x80163440, 0x4afd1f4, 0x8015f933, 0x4a98a88, 0x8015be75,
-    0x4a34319, 0x80158406,
-  0x49cfba7, 0x801549e6, 0x496b432, 0x80151015, 0x4906cbb, 0x8014d693,
-    0x48a2540, 0x80149d5f,
-  0x483ddc3, 0x8014647b, 0x47d9643, 0x80142be5, 0x4774ec1, 0x8013f39e,
-    0x471073b, 0x8013bba7,
-  0x46abfb3, 0x801383fe, 0x4647828, 0x80134ca4, 0x45e309a, 0x80131599,
-    0x457e90a, 0x8012dedd,
-  0x451a177, 0x8012a86f, 0x44b59e1, 0x80127251, 0x4451249, 0x80123c82,
-    0x43ecaae, 0x80120701,
-  0x4388310, 0x8011d1d0, 0x4323b70, 0x80119ced, 0x42bf3cd, 0x80116859,
-    0x425ac28, 0x80113414,
-  0x41f6480, 0x8011001f, 0x4191cd5, 0x8010cc78, 0x412d528, 0x8010991f,
-    0x40c8d79, 0x80106616,
-  0x40645c7, 0x8010335c, 0x3fffe12, 0x801000f1, 0x3f9b65b, 0x800fced4,
-    0x3f36ea2, 0x800f9d07,
-  0x3ed26e6, 0x800f6b88, 0x3e6df28, 0x800f3a59, 0x3e09767, 0x800f0978,
-    0x3da4fa4, 0x800ed8e6,
-  0x3d407df, 0x800ea8a3, 0x3cdc017, 0x800e78af, 0x3c7784d, 0x800e490a,
-    0x3c13080, 0x800e19b4,
-  0x3bae8b2, 0x800deaad, 0x3b4a0e0, 0x800dbbf5, 0x3ae590d, 0x800d8d8b,
-    0x3a81137, 0x800d5f71,
-  0x3a1c960, 0x800d31a5, 0x39b8185, 0x800d0429, 0x39539a9, 0x800cd6fb,
-    0x38ef1ca, 0x800caa1c,
-  0x388a9ea, 0x800c7d8c, 0x3826207, 0x800c514c, 0x37c1a22, 0x800c255a,
-    0x375d23a, 0x800bf9b7,
-  0x36f8a51, 0x800bce63, 0x3694265, 0x800ba35d, 0x362fa78, 0x800b78a7,
-    0x35cb288, 0x800b4e40,
-  0x3566a96, 0x800b2427, 0x35022a2, 0x800afa5e, 0x349daac, 0x800ad0e3,
-    0x34392b4, 0x800aa7b8,
-  0x33d4abb, 0x800a7edb, 0x33702bf, 0x800a564e, 0x330bac1, 0x800a2e0f,
-    0x32a72c1, 0x800a061f,
-  0x3242abf, 0x8009de7e, 0x31de2bb, 0x8009b72c, 0x3179ab5, 0x80099029,
-    0x31152ae, 0x80096975,
-  0x30b0aa4, 0x80094310, 0x304c299, 0x80091cf9, 0x2fe7a8c, 0x8008f732,
-    0x2f8327d, 0x8008d1ba,
-  0x2f1ea6c, 0x8008ac90, 0x2eba259, 0x800887b6, 0x2e55a44, 0x8008632a,
-    0x2df122e, 0x80083eed,
-  0x2d8ca16, 0x80081b00, 0x2d281fc, 0x8007f761, 0x2cc39e1, 0x8007d411,
-    0x2c5f1c3, 0x8007b110,
-  0x2bfa9a4, 0x80078e5e, 0x2b96184, 0x80076bfb, 0x2b31961, 0x800749e7,
-    0x2acd13d, 0x80072822,
-  0x2a68917, 0x800706ac, 0x2a040f0, 0x8006e585, 0x299f8c7, 0x8006c4ac,
-    0x293b09c, 0x8006a423,
-  0x28d6870, 0x800683e8, 0x2872043, 0x800663fd, 0x280d813, 0x80064460,
-    0x27a8fe2, 0x80062513,
-  0x27447b0, 0x80060614, 0x26dff7c, 0x8005e764, 0x267b747, 0x8005c904,
-    0x2616f10, 0x8005aaf2,
-  0x25b26d7, 0x80058d2f, 0x254de9e, 0x80056fbb, 0x24e9662, 0x80055296,
-    0x2484e26, 0x800535c0,
-  0x24205e8, 0x80051939, 0x23bbda8, 0x8004fd00, 0x2357567, 0x8004e117,
-    0x22f2d25, 0x8004c57d,
-  0x228e4e2, 0x8004aa32, 0x2229c9d, 0x80048f35, 0x21c5457, 0x80047488,
-    0x2160c0f, 0x80045a29,
-  0x20fc3c6, 0x8004401a, 0x2097b7c, 0x80042659, 0x2033331, 0x80040ce7,
-    0x1fceae4, 0x8003f3c5,
-  0x1f6a297, 0x8003daf1, 0x1f05a48, 0x8003c26c, 0x1ea11f7, 0x8003aa36,
-    0x1e3c9a6, 0x8003924f,
-  0x1dd8154, 0x80037ab7, 0x1d73900, 0x8003636e, 0x1d0f0ab, 0x80034c74,
-    0x1caa855, 0x800335c9,
-  0x1c45ffe, 0x80031f6d, 0x1be17a6, 0x80030960, 0x1b7cf4d, 0x8002f3a1,
-    0x1b186f3, 0x8002de32,
-  0x1ab3e97, 0x8002c912, 0x1a4f63b, 0x8002b440, 0x19eaddd, 0x80029fbe,
-    0x198657f, 0x80028b8a,
-  0x1921d20, 0x800277a6, 0x18bd4bf, 0x80026410, 0x1858c5e, 0x800250c9,
-    0x17f43fc, 0x80023dd2,
-  0x178fb99, 0x80022b29, 0x172b335, 0x800218cf, 0x16c6ad0, 0x800206c4,
-    0x166226a, 0x8001f508,
-  0x15fda03, 0x8001e39b, 0x159919c, 0x8001d27d, 0x1534934, 0x8001c1ae,
-    0x14d00ca, 0x8001b12e,
-  0x146b860, 0x8001a0fd, 0x1406ff6, 0x8001911b, 0x13a278a, 0x80018187,
-    0x133df1e, 0x80017243,
-  0x12d96b1, 0x8001634e, 0x1274e43, 0x800154a7, 0x12105d5, 0x80014650,
-    0x11abd66, 0x80013847,
-  0x11474f6, 0x80012a8e, 0x10e2c85, 0x80011d23, 0x107e414, 0x80011008,
-    0x1019ba2, 0x8001033b,
-  0xfb5330, 0x8000f6bd, 0xf50abd, 0x8000ea8e, 0xeec249, 0x8000deaf, 0xe879d5,
-    0x8000d31e,
-  0xe23160, 0x8000c7dc, 0xdbe8eb, 0x8000bce9, 0xd5a075, 0x8000b245, 0xcf57ff,
-    0x8000a7f0,
-  0xc90f88, 0x80009dea, 0xc2c711, 0x80009433, 0xbc7e99, 0x80008aca, 0xb63621,
-    0x800081b1,
-  0xafeda8, 0x800078e7, 0xa9a52f, 0x8000706c, 0xa35cb5, 0x8000683f, 0x9d143b,
-    0x80006062,
-  0x96cbc1, 0x800058d4, 0x908346, 0x80005194, 0x8a3acb, 0x80004aa4, 0x83f250,
-    0x80004402,
-  0x7da9d4, 0x80003daf, 0x776159, 0x800037ac, 0x7118dc, 0x800031f7, 0x6ad060,
-    0x80002c91,
-  0x6487e3, 0x8000277a, 0x5e3f66, 0x800022b3, 0x57f6e9, 0x80001e3a, 0x51ae6b,
-    0x80001a10,
-  0x4b65ee, 0x80001635, 0x451d70, 0x800012a9, 0x3ed4f2, 0x80000f6c, 0x388c74,
-    0x80000c7e,
-  0x3243f5, 0x800009df, 0x2bfb77, 0x8000078e, 0x25b2f8, 0x8000058d, 0x1f6a7a,
-    0x800003db,
-  0x1921fb, 0x80000278, 0x12d97c, 0x80000163, 0xc90fe, 0x8000009e, 0x6487f,
-    0x80000027,
-
-};
-
-/**    
-* \par    
-* cosFactor tables are generated using the formula : 
cos_factors[n] = 2 * cos((2n+1)*pi/(4*N))
    
-* \par    
-* C command to generate the table    
-* 
    
-* for(i = 0; i< N; i++)    
-* {    
-*   cos_factors[i]= 2 * cos((2*i+1)*c/2);    
-* } 
    
-* \par    
-* where N is the number of factors to generate and c is pi/(2*N)    
-* \par    
-* Then converted to q31 format by multiplying with 2^31 and saturated if required.    
-*/
-
-
-static const q31_t cos_factorsQ31_128[128] = {
-  0x7fff6216, 0x7ffa72d1, 0x7ff09478, 0x7fe1c76b, 0x7fce0c3e, 0x7fb563b3,
-  0x7f97cebd, 0x7f754e80,
-  0x7f4de451, 0x7f2191b4, 0x7ef05860, 0x7eba3a39, 0x7e7f3957, 0x7e3f57ff,
-  0x7dfa98a8, 0x7db0fdf8,
-  0x7d628ac6, 0x7d0f4218, 0x7cb72724, 0x7c5a3d50, 0x7bf88830, 0x7b920b89,
-  0x7b26cb4f, 0x7ab6cba4,
-  0x7a4210d8, 0x79c89f6e, 0x794a7c12, 0x78c7aba2, 0x78403329, 0x77b417df,
-  0x77235f2d, 0x768e0ea6,
-  0x75f42c0b, 0x7555bd4c, 0x74b2c884, 0x740b53fb, 0x735f6626, 0x72af05a7,
-  0x71fa3949, 0x71410805,
-  0x708378ff, 0x6fc19385, 0x6efb5f12, 0x6e30e34a, 0x6d6227fa, 0x6c8f351c,
-  0x6bb812d1, 0x6adcc964,
-  0x69fd614a, 0x6919e320, 0x683257ab, 0x6746c7d8, 0x66573cbb, 0x6563bf92,
-  0x646c59bf, 0x637114cc,
-  0x6271fa69, 0x616f146c, 0x60686ccf, 0x5f5e0db3, 0x5e50015d, 0x5d3e5237,
-  0x5c290acc, 0x5b1035cf,
-  0x59f3de12, 0x58d40e8c, 0x57b0d256, 0x568a34a9, 0x556040e2, 0x5433027d,
-  0x53028518, 0x51ced46e,
-  0x5097fc5e, 0x4f5e08e3, 0x4e210617, 0x4ce10034, 0x4b9e0390, 0x4a581c9e,
-  0x490f57ee, 0x47c3c22f,
-  0x46756828, 0x452456bd, 0x43d09aed, 0x427a41d0, 0x4121589b, 0x3fc5ec98,
-  0x3e680b2c, 0x3d07c1d6,
-  0x3ba51e29, 0x3a402dd2, 0x38d8fe93, 0x376f9e46, 0x36041ad9, 0x34968250,
-  0x3326e2c3, 0x31b54a5e,
-  0x3041c761, 0x2ecc681e, 0x2d553afc, 0x2bdc4e6f, 0x2a61b101, 0x28e5714b,
-  0x27679df4, 0x25e845b6,
-  0x24677758, 0x22e541af, 0x2161b3a0, 0x1fdcdc1b, 0x1e56ca1e, 0x1ccf8cb3,
-  0x1b4732ef, 0x19bdcbf3,
-  0x183366e9, 0x16a81305, 0x151bdf86, 0x138edbb1, 0x120116d5, 0x1072a048,
-  0xee38766, 0xd53db92,
-  0xbc3ac35, 0xa3308bd, 0x8a2009a, 0x710a345, 0x57f0035, 0x3ed26e6, 0x25b26d7,
-  0xc90f88,
-};
-
-static const q31_t cos_factorsQ31_512[512] = {
-  0x7ffff621, 0x7fffa72c, 0x7fff0943, 0x7ffe1c65, 0x7ffce093, 0x7ffb55ce,
-  0x7ff97c18, 0x7ff75370,
-  0x7ff4dbd9, 0x7ff21553, 0x7feeffe1, 0x7feb9b85, 0x7fe7e841, 0x7fe3e616,
-  0x7fdf9508, 0x7fdaf519,
-  0x7fd6064c, 0x7fd0c8a3, 0x7fcb3c23, 0x7fc560cf, 0x7fbf36aa, 0x7fb8bdb8,
-  0x7fb1f5fc, 0x7faadf7c,
-  0x7fa37a3c, 0x7f9bc640, 0x7f93c38c, 0x7f8b7227, 0x7f82d214, 0x7f79e35a,
-  0x7f70a5fe, 0x7f671a05,
-  0x7f5d3f75, 0x7f531655, 0x7f489eaa, 0x7f3dd87c, 0x7f32c3d1, 0x7f2760af,
-  0x7f1baf1e, 0x7f0faf25,
-  0x7f0360cb, 0x7ef6c418, 0x7ee9d914, 0x7edc9fc6, 0x7ecf1837, 0x7ec14270,
-  0x7eb31e78, 0x7ea4ac58,
-  0x7e95ec1a, 0x7e86ddc6, 0x7e778166, 0x7e67d703, 0x7e57dea7, 0x7e47985b,
-  0x7e37042a, 0x7e26221f,
-  0x7e14f242, 0x7e0374a0, 0x7df1a942, 0x7ddf9034, 0x7dcd2981, 0x7dba7534,
-  0x7da77359, 0x7d9423fc,
-  0x7d808728, 0x7d6c9ce9, 0x7d58654d, 0x7d43e05e, 0x7d2f0e2b, 0x7d19eebf,
-  0x7d048228, 0x7ceec873,
-  0x7cd8c1ae, 0x7cc26de5, 0x7cabcd28, 0x7c94df83, 0x7c7da505, 0x7c661dbc,
-  0x7c4e49b7, 0x7c362904,
-  0x7c1dbbb3, 0x7c0501d2, 0x7bebfb70, 0x7bd2a89e, 0x7bb9096b, 0x7b9f1de6,
-  0x7b84e61f, 0x7b6a6227,
-  0x7b4f920e, 0x7b3475e5, 0x7b190dbc, 0x7afd59a4, 0x7ae159ae, 0x7ac50dec,
-  0x7aa8766f, 0x7a8b9348,
-  0x7a6e648a, 0x7a50ea47, 0x7a332490, 0x7a151378, 0x79f6b711, 0x79d80f6f,
-  0x79b91ca4, 0x7999dec4,
-  0x797a55e0, 0x795a820e, 0x793a6361, 0x7919f9ec, 0x78f945c3, 0x78d846fb,
-  0x78b6fda8, 0x789569df,
-  0x78738bb3, 0x7851633b, 0x782ef08b, 0x780c33b8, 0x77e92cd9, 0x77c5dc01,
-  0x77a24148, 0x777e5cc3,
-  0x775a2e89, 0x7735b6af, 0x7710f54c, 0x76ebea77, 0x76c69647, 0x76a0f8d2,
-  0x767b1231, 0x7654e279,
-  0x762e69c4, 0x7607a828, 0x75e09dbd, 0x75b94a9c, 0x7591aedd, 0x7569ca99,
-  0x75419de7, 0x751928e0,
-  0x74f06b9e, 0x74c7663a, 0x749e18cd, 0x74748371, 0x744aa63f, 0x74208150,
-  0x73f614c0, 0x73cb60a8,
-  0x73a06522, 0x73752249, 0x73499838, 0x731dc70a, 0x72f1aed9, 0x72c54fc1,
-  0x7298a9dd, 0x726bbd48,
-  0x723e8a20, 0x7211107e, 0x71e35080, 0x71b54a41, 0x7186fdde, 0x71586b74,
-  0x7129931f, 0x70fa74fc,
-  0x70cb1128, 0x709b67c0, 0x706b78e3, 0x703b44ad, 0x700acb3c, 0x6fda0cae,
-  0x6fa90921, 0x6f77c0b3,
-  0x6f463383, 0x6f1461b0, 0x6ee24b57, 0x6eaff099, 0x6e7d5193, 0x6e4a6e66,
-  0x6e174730, 0x6de3dc11,
-  0x6db02d29, 0x6d7c3a98, 0x6d48047e, 0x6d138afb, 0x6cdece2f, 0x6ca9ce3b,
-  0x6c748b3f, 0x6c3f055d,
-  0x6c093cb6, 0x6bd3316a, 0x6b9ce39b, 0x6b66536b, 0x6b2f80fb, 0x6af86c6c,
-  0x6ac115e2, 0x6a897d7d,
-  0x6a51a361, 0x6a1987b0, 0x69e12a8c, 0x69a88c19, 0x696fac78, 0x69368bce,
-  0x68fd2a3d, 0x68c387e9,
-  0x6889a4f6, 0x684f8186, 0x68151dbe, 0x67da79c3, 0x679f95b7, 0x676471c0,
-  0x67290e02, 0x66ed6aa1,
-  0x66b187c3, 0x6675658c, 0x66390422, 0x65fc63a9, 0x65bf8447, 0x65826622,
-  0x6545095f, 0x65076e25,
-  0x64c99498, 0x648b7ce0, 0x644d2722, 0x640e9386, 0x63cfc231, 0x6390b34a,
-  0x635166f9, 0x6311dd64,
-  0x62d216b3, 0x6292130c, 0x6251d298, 0x6211557e, 0x61d09be5, 0x618fa5f7,
-  0x614e73da, 0x610d05b7,
-  0x60cb5bb7, 0x60897601, 0x604754bf, 0x6004f819, 0x5fc26038, 0x5f7f8d46,
-  0x5f3c7f6b, 0x5ef936d1,
-  0x5eb5b3a2, 0x5e71f606, 0x5e2dfe29, 0x5de9cc33, 0x5da5604f, 0x5d60baa7,
-  0x5d1bdb65, 0x5cd6c2b5,
-  0x5c9170bf, 0x5c4be5b0, 0x5c0621b2, 0x5bc024f0, 0x5b79ef96, 0x5b3381ce,
-  0x5aecdbc5, 0x5aa5fda5,
-  0x5a5ee79a, 0x5a1799d1, 0x59d01475, 0x598857b2, 0x594063b5, 0x58f838a9,
-  0x58afd6bd, 0x58673e1b,
-  0x581e6ef1, 0x57d5696d, 0x578c2dba, 0x5742bc06, 0x56f9147e, 0x56af3750,
-  0x566524aa, 0x561adcb9,
-  0x55d05faa, 0x5585adad, 0x553ac6ee, 0x54efab9c, 0x54a45be6, 0x5458d7f9,
-  0x540d2005, 0x53c13439,
-  0x537514c2, 0x5328c1d0, 0x52dc3b92, 0x528f8238, 0x524295f0, 0x51f576ea,
-  0x51a82555, 0x515aa162,
-  0x510ceb40, 0x50bf031f, 0x5070e92f, 0x50229da1, 0x4fd420a4, 0x4f857269,
-  0x4f369320, 0x4ee782fb,
-  0x4e984229, 0x4e48d0dd, 0x4df92f46, 0x4da95d96, 0x4d595bfe, 0x4d092ab0,
-  0x4cb8c9dd, 0x4c6839b7,
-  0x4c177a6e, 0x4bc68c36, 0x4b756f40, 0x4b2423be, 0x4ad2a9e2, 0x4a8101de,
-  0x4a2f2be6, 0x49dd282a,
-  0x498af6df, 0x49389836, 0x48e60c62, 0x48935397, 0x48406e08, 0x47ed5be6,
-  0x479a1d67, 0x4746b2bc,
-  0x46f31c1a, 0x469f59b4, 0x464b6bbe, 0x45f7526b, 0x45a30df0, 0x454e9e80,
-  0x44fa0450, 0x44a53f93,
-  0x4450507e, 0x43fb3746, 0x43a5f41e, 0x4350873c, 0x42faf0d4, 0x42a5311b,
-  0x424f4845, 0x41f93689,
-  0x41a2fc1a, 0x414c992f, 0x40f60dfb, 0x409f5ab6, 0x40487f94, 0x3ff17cca,
-  0x3f9a5290, 0x3f430119,
-  0x3eeb889c, 0x3e93e950, 0x3e3c2369, 0x3de4371f, 0x3d8c24a8, 0x3d33ec39,
-  0x3cdb8e09, 0x3c830a50,
-  0x3c2a6142, 0x3bd19318, 0x3b78a007, 0x3b1f8848, 0x3ac64c0f, 0x3a6ceb96,
-  0x3a136712, 0x39b9bebc,
-  0x395ff2c9, 0x39060373, 0x38abf0ef, 0x3851bb77, 0x37f76341, 0x379ce885,
-  0x37424b7b, 0x36e78c5b,
-  0x368cab5c, 0x3631a8b8, 0x35d684a6, 0x357b3f5d, 0x351fd918, 0x34c4520d,
-  0x3468aa76, 0x340ce28b,
-  0x33b0fa84, 0x3354f29b, 0x32f8cb07, 0x329c8402, 0x32401dc6, 0x31e39889,
-  0x3186f487, 0x312a31f8,
-  0x30cd5115, 0x30705217, 0x30133539, 0x2fb5fab2, 0x2f58a2be, 0x2efb2d95,
-  0x2e9d9b70, 0x2e3fec8b,
-  0x2de2211e, 0x2d843964, 0x2d263596, 0x2cc815ee, 0x2c69daa6, 0x2c0b83fa,
-  0x2bad1221, 0x2b4e8558,
-  0x2aefddd8, 0x2a911bdc, 0x2a323f9e, 0x29d34958, 0x29743946, 0x29150fa1,
-  0x28b5cca5, 0x2856708d,
-  0x27f6fb92, 0x27976df1, 0x2737c7e3, 0x26d809a5, 0x26783370, 0x26184581,
-  0x25b84012, 0x2558235f,
-  0x24f7efa2, 0x2497a517, 0x243743fa, 0x23d6cc87, 0x23763ef7, 0x23159b88,
-  0x22b4e274, 0x225413f8,
-  0x21f3304f, 0x219237b5, 0x21312a65, 0x20d0089c, 0x206ed295, 0x200d888d,
-  0x1fac2abf, 0x1f4ab968,
-  0x1ee934c3, 0x1e879d0d, 0x1e25f282, 0x1dc4355e, 0x1d6265dd, 0x1d00843d,
-  0x1c9e90b8, 0x1c3c8b8c,
-  0x1bda74f6, 0x1b784d30, 0x1b161479, 0x1ab3cb0d, 0x1a517128, 0x19ef0707,
-  0x198c8ce7, 0x192a0304,
-  0x18c7699b, 0x1864c0ea, 0x1802092c, 0x179f429f, 0x173c6d80, 0x16d98a0c,
-  0x1676987f, 0x16139918,
-  0x15b08c12, 0x154d71aa, 0x14ea4a1f, 0x148715ae, 0x1423d492, 0x13c0870a,
-  0x135d2d53, 0x12f9c7aa,
-  0x1296564d, 0x1232d979, 0x11cf516a, 0x116bbe60, 0x11082096, 0x10a4784b,
-  0x1040c5bb, 0xfdd0926,
-  0xf7942c7, 0xf1572dc, 0xeb199a4, 0xe4db75b, 0xde9cc40, 0xd85d88f, 0xd21dc87,
-  0xcbdd865,
-  0xc59cc68, 0xbf5b8cb, 0xb919dcf, 0xb2d7baf, 0xac952aa, 0xa6522fe, 0xa00ece8,
-  0x99cb0a7,
-  0x9386e78, 0x8d42699, 0x86fd947, 0x80b86c2, 0x7a72f45, 0x742d311, 0x6de7262,
-  0x67a0d76,
-  0x615a48b, 0x5b137df, 0x54cc7b1, 0x4e8543e, 0x483ddc3, 0x41f6480, 0x3bae8b2,
-  0x3566a96,
-  0x2f1ea6c, 0x28d6870, 0x228e4e2, 0x1c45ffe, 0x15fda03, 0xfb5330, 0x96cbc1,
-  0x3243f5,
-};
-
-static const q31_t cos_factorsQ31_2048[2048] = {
-  0x7fffff62, 0x7ffffa73, 0x7ffff094, 0x7fffe1c6, 0x7fffce09, 0x7fffb55c,
-  0x7fff97c1, 0x7fff7536,
-  0x7fff4dbb, 0x7fff2151, 0x7ffeeff8, 0x7ffeb9b0, 0x7ffe7e79, 0x7ffe3e52,
-  0x7ffdf93c, 0x7ffdaf37,
-  0x7ffd6042, 0x7ffd0c5f, 0x7ffcb38c, 0x7ffc55ca, 0x7ffbf319, 0x7ffb8b78,
-  0x7ffb1ee9, 0x7ffaad6a,
-  0x7ffa36fc, 0x7ff9bba0, 0x7ff93b54, 0x7ff8b619, 0x7ff82bef, 0x7ff79cd6,
-  0x7ff708ce, 0x7ff66fd7,
-  0x7ff5d1f1, 0x7ff52f1d, 0x7ff48759, 0x7ff3daa6, 0x7ff32905, 0x7ff27275,
-  0x7ff1b6f6, 0x7ff0f688,
-  0x7ff0312c, 0x7fef66e1, 0x7fee97a7, 0x7fedc37e, 0x7fecea67, 0x7fec0c62,
-  0x7feb296d, 0x7fea418b,
-  0x7fe954ba, 0x7fe862fa, 0x7fe76c4c, 0x7fe670b0, 0x7fe57025, 0x7fe46aac,
-  0x7fe36045, 0x7fe250ef,
-  0x7fe13cac, 0x7fe0237a, 0x7fdf055a, 0x7fdde24d, 0x7fdcba51, 0x7fdb8d67,
-  0x7fda5b8f, 0x7fd924ca,
-  0x7fd7e917, 0x7fd6a875, 0x7fd562e7, 0x7fd4186a, 0x7fd2c900, 0x7fd174a8,
-  0x7fd01b63, 0x7fcebd31,
-  0x7fcd5a11, 0x7fcbf203, 0x7fca8508, 0x7fc91320, 0x7fc79c4b, 0x7fc62089,
-  0x7fc49fda, 0x7fc31a3d,
-  0x7fc18fb4, 0x7fc0003e, 0x7fbe6bdb, 0x7fbcd28b, 0x7fbb344e, 0x7fb99125,
-  0x7fb7e90f, 0x7fb63c0d,
-  0x7fb48a1e, 0x7fb2d343, 0x7fb1177b, 0x7faf56c7, 0x7fad9127, 0x7fabc69b,
-  0x7fa9f723, 0x7fa822bf,
-  0x7fa6496e, 0x7fa46b32, 0x7fa2880b, 0x7fa09ff7, 0x7f9eb2f8, 0x7f9cc10d,
-  0x7f9aca37, 0x7f98ce76,
-  0x7f96cdc9, 0x7f94c831, 0x7f92bdad, 0x7f90ae3f, 0x7f8e99e6, 0x7f8c80a1,
-  0x7f8a6272, 0x7f883f58,
-  0x7f861753, 0x7f83ea64, 0x7f81b88a, 0x7f7f81c6, 0x7f7d4617, 0x7f7b057e,
-  0x7f78bffb, 0x7f76758e,
-  0x7f742637, 0x7f71d1f6, 0x7f6f78cb, 0x7f6d1ab6, 0x7f6ab7b8, 0x7f684fd0,
-  0x7f65e2ff, 0x7f637144,
-  0x7f60faa0, 0x7f5e7f13, 0x7f5bfe9d, 0x7f59793e, 0x7f56eef5, 0x7f545fc5,
-  0x7f51cbab, 0x7f4f32a9,
-  0x7f4c94be, 0x7f49f1eb, 0x7f474a30, 0x7f449d8c, 0x7f41ec01, 0x7f3f358d,
-  0x7f3c7a31, 0x7f39b9ee,
-  0x7f36f4c3, 0x7f342ab1, 0x7f315bb7, 0x7f2e87d6, 0x7f2baf0d, 0x7f28d15d,
-  0x7f25eec7, 0x7f230749,
-  0x7f201ae5, 0x7f1d299a, 0x7f1a3368, 0x7f173850, 0x7f143852, 0x7f11336d,
-  0x7f0e29a3, 0x7f0b1af2,
-  0x7f08075c, 0x7f04eedf, 0x7f01d17d, 0x7efeaf36, 0x7efb8809, 0x7ef85bf7,
-  0x7ef52b00, 0x7ef1f524,
-  0x7eeeba62, 0x7eeb7abc, 0x7ee83632, 0x7ee4ecc3, 0x7ee19e6f, 0x7ede4b38,
-  0x7edaf31c, 0x7ed7961c,
-  0x7ed43438, 0x7ed0cd70, 0x7ecd61c5, 0x7ec9f137, 0x7ec67bc5, 0x7ec3016f,
-  0x7ebf8237, 0x7ebbfe1c,
-  0x7eb8751e, 0x7eb4e73d, 0x7eb1547a, 0x7eadbcd4, 0x7eaa204c, 0x7ea67ee2,
-  0x7ea2d896, 0x7e9f2d68,
-  0x7e9b7d58, 0x7e97c867, 0x7e940e94, 0x7e904fe0, 0x7e8c8c4b, 0x7e88c3d5,
-  0x7e84f67e, 0x7e812447,
-  0x7e7d4d2f, 0x7e797136, 0x7e75905d, 0x7e71aaa4, 0x7e6dc00c, 0x7e69d093,
-  0x7e65dc3b, 0x7e61e303,
-  0x7e5de4ec, 0x7e59e1f5, 0x7e55da20, 0x7e51cd6c, 0x7e4dbbd9, 0x7e49a567,
-  0x7e458a17, 0x7e4169e9,
-  0x7e3d44dd, 0x7e391af3, 0x7e34ec2b, 0x7e30b885, 0x7e2c8002, 0x7e2842a2,
-  0x7e240064, 0x7e1fb94a,
-  0x7e1b6d53, 0x7e171c7f, 0x7e12c6ce, 0x7e0e6c42, 0x7e0a0cd9, 0x7e05a894,
-  0x7e013f74, 0x7dfcd178,
-  0x7df85ea0, 0x7df3e6ee, 0x7def6a60, 0x7deae8f7, 0x7de662b3, 0x7de1d795,
-  0x7ddd479d, 0x7dd8b2ca,
-  0x7dd4191d, 0x7dcf7a96, 0x7dcad736, 0x7dc62efc, 0x7dc181e8, 0x7dbccffc,
-  0x7db81936, 0x7db35d98,
-  0x7dae9d21, 0x7da9d7d2, 0x7da50dab, 0x7da03eab, 0x7d9b6ad3, 0x7d969224,
-  0x7d91b49e, 0x7d8cd240,
-  0x7d87eb0a, 0x7d82fefe, 0x7d7e0e1c, 0x7d791862, 0x7d741dd2, 0x7d6f1e6c,
-  0x7d6a1a31, 0x7d65111f,
-  0x7d600338, 0x7d5af07b, 0x7d55d8e9, 0x7d50bc82, 0x7d4b9b46, 0x7d467536,
-  0x7d414a51, 0x7d3c1a98,
-  0x7d36e60b, 0x7d31acaa, 0x7d2c6e76, 0x7d272b6e, 0x7d21e393, 0x7d1c96e5,
-  0x7d174564, 0x7d11ef11,
-  0x7d0c93eb, 0x7d0733f3, 0x7d01cf29, 0x7cfc658d, 0x7cf6f720, 0x7cf183e1,
-  0x7cec0bd1, 0x7ce68ef0,
-  0x7ce10d3f, 0x7cdb86bd, 0x7cd5fb6a, 0x7cd06b48, 0x7ccad656, 0x7cc53c94,
-  0x7cbf9e03, 0x7cb9faa2,
-  0x7cb45272, 0x7caea574, 0x7ca8f3a7, 0x7ca33d0c, 0x7c9d81a3, 0x7c97c16b,
-  0x7c91fc66, 0x7c8c3294,
-  0x7c8663f4, 0x7c809088, 0x7c7ab84e, 0x7c74db48, 0x7c6ef976, 0x7c6912d7,
-  0x7c63276d, 0x7c5d3737,
-  0x7c574236, 0x7c514869, 0x7c4b49d2, 0x7c45466f, 0x7c3f3e42, 0x7c39314b,
-  0x7c331f8a, 0x7c2d08ff,
-  0x7c26edab, 0x7c20cd8d, 0x7c1aa8a6, 0x7c147ef6, 0x7c0e507e, 0x7c081d3d,
-  0x7c01e534, 0x7bfba863,
-  0x7bf566cb, 0x7bef206b, 0x7be8d544, 0x7be28556, 0x7bdc30a1, 0x7bd5d726,
-  0x7bcf78e5, 0x7bc915dd,
-  0x7bc2ae10, 0x7bbc417e, 0x7bb5d026, 0x7baf5a09, 0x7ba8df28, 0x7ba25f82,
-  0x7b9bdb18, 0x7b9551ea,
-  0x7b8ec3f8, 0x7b883143, 0x7b8199ca, 0x7b7afd8f, 0x7b745c91, 0x7b6db6d0,
-  0x7b670c4d, 0x7b605d09,
-  0x7b59a902, 0x7b52f03a, 0x7b4c32b1, 0x7b457068, 0x7b3ea95d, 0x7b37dd92,
-  0x7b310d07, 0x7b2a37bc,
-  0x7b235db2, 0x7b1c7ee8, 0x7b159b5f, 0x7b0eb318, 0x7b07c612, 0x7b00d44d,
-  0x7af9ddcb, 0x7af2e28b,
-  0x7aebe28d, 0x7ae4ddd2, 0x7addd45b, 0x7ad6c626, 0x7acfb336, 0x7ac89b89,
-  0x7ac17f20, 0x7aba5dfc,
-  0x7ab3381d, 0x7aac0d82, 0x7aa4de2d, 0x7a9daa1d, 0x7a967153, 0x7a8f33d0,
-  0x7a87f192, 0x7a80aa9c,
-  0x7a795eec, 0x7a720e84, 0x7a6ab963, 0x7a635f8a, 0x7a5c00f9, 0x7a549db0,
-  0x7a4d35b0, 0x7a45c8f9,
-  0x7a3e578b, 0x7a36e166, 0x7a2f668c, 0x7a27e6fb, 0x7a2062b5, 0x7a18d9b9,
-  0x7a114c09, 0x7a09b9a4,
-  0x7a02228a, 0x79fa86bc, 0x79f2e63a, 0x79eb4105, 0x79e3971c, 0x79dbe880,
-  0x79d43532, 0x79cc7d31,
-  0x79c4c07e, 0x79bcff19, 0x79b53903, 0x79ad6e3c, 0x79a59ec3, 0x799dca9a,
-  0x7995f1c1, 0x798e1438,
-  0x798631ff, 0x797e4b16, 0x79765f7f, 0x796e6f39, 0x79667a44, 0x795e80a1,
-  0x79568250, 0x794e7f52,
-  0x794677a6, 0x793e6b4e, 0x79365a49, 0x792e4497, 0x79262a3a, 0x791e0b31,
-  0x7915e77c, 0x790dbf1d,
-  0x79059212, 0x78fd605d, 0x78f529fe, 0x78eceef6, 0x78e4af44, 0x78dc6ae8,
-  0x78d421e4, 0x78cbd437,
-  0x78c381e2, 0x78bb2ae5, 0x78b2cf41, 0x78aa6ef5, 0x78a20a03, 0x7899a06a,
-  0x7891322a, 0x7888bf45,
-  0x788047ba, 0x7877cb89, 0x786f4ab4, 0x7866c53a, 0x785e3b1c, 0x7855ac5a,
-  0x784d18f4, 0x784480ea,
-  0x783be43e, 0x783342ef, 0x782a9cfe, 0x7821f26b, 0x78194336, 0x78108f60,
-  0x7807d6e9, 0x77ff19d1,
-  0x77f65819, 0x77ed91c0, 0x77e4c6c9, 0x77dbf732, 0x77d322fc, 0x77ca4a27,
-  0x77c16cb4, 0x77b88aa3,
-  0x77afa3f5, 0x77a6b8a9, 0x779dc8c0, 0x7794d43b, 0x778bdb19, 0x7782dd5c,
-  0x7779db03, 0x7770d40f,
-  0x7767c880, 0x775eb857, 0x7755a394, 0x774c8a36, 0x77436c40, 0x773a49b0,
-  0x77312287, 0x7727f6c6,
-  0x771ec66e, 0x7715917d, 0x770c57f5, 0x770319d6, 0x76f9d721, 0x76f08fd5,
-  0x76e743f4, 0x76ddf37c,
-  0x76d49e70, 0x76cb44cf, 0x76c1e699, 0x76b883d0, 0x76af1c72, 0x76a5b082,
-  0x769c3ffe, 0x7692cae8,
-  0x7689513f, 0x767fd304, 0x76765038, 0x766cc8db, 0x76633ced, 0x7659ac6f,
-  0x76501760, 0x76467dc2,
-  0x763cdf94, 0x76333cd8, 0x7629958c, 0x761fe9b3, 0x7616394c, 0x760c8457,
-  0x7602cad5, 0x75f90cc7,
-  0x75ef4a2c, 0x75e58305, 0x75dbb753, 0x75d1e715, 0x75c8124d, 0x75be38fa,
-  0x75b45b1d, 0x75aa78b6,
-  0x75a091c6, 0x7596a64d, 0x758cb64c, 0x7582c1c2, 0x7578c8b0, 0x756ecb18,
-  0x7564c8f8, 0x755ac251,
-  0x7550b725, 0x7546a772, 0x753c933a, 0x75327a7d, 0x75285d3b, 0x751e3b75,
-  0x7514152b, 0x7509ea5d,
-  0x74ffbb0d, 0x74f58739, 0x74eb4ee3, 0x74e1120c, 0x74d6d0b2, 0x74cc8ad8,
-  0x74c2407d, 0x74b7f1a1,
-  0x74ad9e46, 0x74a3466b, 0x7498ea11, 0x748e8938, 0x748423e0, 0x7479ba0b,
-  0x746f4bb8, 0x7464d8e8,
-  0x745a619b, 0x744fe5d2, 0x7445658d, 0x743ae0cc, 0x74305790, 0x7425c9da,
-  0x741b37a9, 0x7410a0fe,
-  0x740605d9, 0x73fb663c, 0x73f0c226, 0x73e61997, 0x73db6c91, 0x73d0bb13,
-  0x73c6051f, 0x73bb4ab3,
-  0x73b08bd1, 0x73a5c87a, 0x739b00ad, 0x7390346b, 0x738563b5, 0x737a8e8a,
-  0x736fb4ec, 0x7364d6da,
-  0x7359f456, 0x734f0d5f, 0x734421f6, 0x7339321b, 0x732e3dcf, 0x73234512,
-  0x731847e5, 0x730d4648,
-  0x7302403c, 0x72f735c0, 0x72ec26d6, 0x72e1137d, 0x72d5fbb7, 0x72cadf83,
-  0x72bfbee3, 0x72b499d6,
-  0x72a9705c, 0x729e4277, 0x72931027, 0x7287d96c, 0x727c9e47, 0x72715eb8,
-  0x72661abf, 0x725ad25d,
-  0x724f8593, 0x72443460, 0x7238dec5, 0x722d84c4, 0x7222265b, 0x7216c38c,
-  0x720b5c57, 0x71fff0bc,
-  0x71f480bc, 0x71e90c57, 0x71dd938f, 0x71d21662, 0x71c694d2, 0x71bb0edf,
-  0x71af848a, 0x71a3f5d2,
-  0x719862b9, 0x718ccb3f, 0x71812f65, 0x71758f29, 0x7169ea8f, 0x715e4194,
-  0x7152943b, 0x7146e284,
-  0x713b2c6e, 0x712f71fb, 0x7123b32b, 0x7117effe, 0x710c2875, 0x71005c90,
-  0x70f48c50, 0x70e8b7b5,
-  0x70dcdec0, 0x70d10171, 0x70c51fc8, 0x70b939c7, 0x70ad4f6d, 0x70a160ba,
-  0x70956db1, 0x70897650,
-  0x707d7a98, 0x70717a8a, 0x70657626, 0x70596d6d, 0x704d6060, 0x70414efd,
-  0x70353947, 0x70291f3e,
-  0x701d00e1, 0x7010de32, 0x7004b731, 0x6ff88bde, 0x6fec5c3b, 0x6fe02846,
-  0x6fd3f001, 0x6fc7b36d,
-  0x6fbb728a, 0x6faf2d57, 0x6fa2e3d7, 0x6f969608, 0x6f8a43ed, 0x6f7ded84,
-  0x6f7192cf, 0x6f6533ce,
-  0x6f58d082, 0x6f4c68eb, 0x6f3ffd09, 0x6f338cde, 0x6f271868, 0x6f1a9faa,
-  0x6f0e22a3, 0x6f01a155,
-  0x6ef51bbe, 0x6ee891e1, 0x6edc03bc, 0x6ecf7152, 0x6ec2daa2, 0x6eb63fad,
-  0x6ea9a073, 0x6e9cfcf5,
-  0x6e905534, 0x6e83a92f, 0x6e76f8e7, 0x6e6a445d, 0x6e5d8b91, 0x6e50ce84,
-  0x6e440d37, 0x6e3747a9,
-  0x6e2a7ddb, 0x6e1dafce, 0x6e10dd82, 0x6e0406f8, 0x6df72c30, 0x6dea4d2b,
-  0x6ddd69e9, 0x6dd0826a,
-  0x6dc396b0, 0x6db6a6ba, 0x6da9b28a, 0x6d9cba1f, 0x6d8fbd7a, 0x6d82bc9d,
-  0x6d75b786, 0x6d68ae37,
-  0x6d5ba0b0, 0x6d4e8ef2, 0x6d4178fd, 0x6d345ed1, 0x6d274070, 0x6d1a1dda,
-  0x6d0cf70f, 0x6cffcc0f,
-  0x6cf29cdc, 0x6ce56975, 0x6cd831dc, 0x6ccaf610, 0x6cbdb613, 0x6cb071e4,
-  0x6ca32985, 0x6c95dcf6,
-  0x6c888c36, 0x6c7b3748, 0x6c6dde2b, 0x6c6080e0, 0x6c531f67, 0x6c45b9c1,
-  0x6c384fef, 0x6c2ae1f0,
-  0x6c1d6fc6, 0x6c0ff971, 0x6c027ef1, 0x6bf50047, 0x6be77d74, 0x6bd9f677,
-  0x6bcc6b53, 0x6bbedc06,
-  0x6bb14892, 0x6ba3b0f7, 0x6b961536, 0x6b88754f, 0x6b7ad142, 0x6b6d2911,
-  0x6b5f7cbc, 0x6b51cc42,
-  0x6b4417a6, 0x6b365ee7, 0x6b28a206, 0x6b1ae103, 0x6b0d1bdf, 0x6aff529a,
-  0x6af18536, 0x6ae3b3b2,
-  0x6ad5de0f, 0x6ac8044e, 0x6aba266e, 0x6aac4472, 0x6a9e5e58, 0x6a907423,
-  0x6a8285d1, 0x6a749365,
-  0x6a669cdd, 0x6a58a23c, 0x6a4aa381, 0x6a3ca0ad, 0x6a2e99c0, 0x6a208ebb,
-  0x6a127f9f, 0x6a046c6c,
-  0x69f65523, 0x69e839c4, 0x69da1a50, 0x69cbf6c7, 0x69bdcf29, 0x69afa378,
-  0x69a173b5, 0x69933fde,
-  0x698507f6, 0x6976cbfc, 0x69688bf1, 0x695a47d6, 0x694bffab, 0x693db371,
-  0x692f6328, 0x69210ed1,
-  0x6912b66c, 0x690459fb, 0x68f5f97d, 0x68e794f3, 0x68d92c5d, 0x68cabfbd,
-  0x68bc4f13, 0x68adda5f,
-  0x689f61a1, 0x6890e4dc, 0x6882640e, 0x6873df38, 0x6865565c, 0x6856c979,
-  0x68483891, 0x6839a3a4,
-  0x682b0ab1, 0x681c6dbb, 0x680dccc1, 0x67ff27c4, 0x67f07ec5, 0x67e1d1c4,
-  0x67d320c1, 0x67c46bbe,
-  0x67b5b2bb, 0x67a6f5b8, 0x679834b6, 0x67896fb6, 0x677aa6b8, 0x676bd9bd,
-  0x675d08c4, 0x674e33d0,
-  0x673f5ae0, 0x67307df5, 0x67219d10, 0x6712b831, 0x6703cf58, 0x66f4e287,
-  0x66e5f1be, 0x66d6fcfd,
-  0x66c80445, 0x66b90797, 0x66aa06f3, 0x669b0259, 0x668bf9cb, 0x667ced49,
-  0x666ddcd3, 0x665ec86b,
-  0x664fb010, 0x664093c3, 0x66317385, 0x66224f56, 0x66132738, 0x6603fb2a,
-  0x65f4cb2d, 0x65e59742,
-  0x65d65f69, 0x65c723a3, 0x65b7e3f1, 0x65a8a052, 0x659958c9, 0x658a0d54,
-  0x657abdf6, 0x656b6aae,
-  0x655c137d, 0x654cb863, 0x653d5962, 0x652df679, 0x651e8faa, 0x650f24f5,
-  0x64ffb65b, 0x64f043dc,
-  0x64e0cd78, 0x64d15331, 0x64c1d507, 0x64b252fa, 0x64a2cd0c, 0x6493433c,
-  0x6483b58c, 0x647423fb,
-  0x64648e8c, 0x6454f53d, 0x64455810, 0x6435b706, 0x6426121e, 0x6416695a,
-  0x6406bcba, 0x63f70c3f,
-  0x63e757ea, 0x63d79fba, 0x63c7e3b1, 0x63b823cf, 0x63a86015, 0x63989884,
-  0x6388cd1b, 0x6378fddc,
-  0x63692ac7, 0x635953dd, 0x6349791f, 0x63399a8d, 0x6329b827, 0x6319d1ef,
-  0x6309e7e4, 0x62f9fa09,
-  0x62ea085c, 0x62da12df, 0x62ca1992, 0x62ba1c77, 0x62aa1b8d, 0x629a16d5,
-  0x628a0e50, 0x627a01fe,
-  0x6269f1e1, 0x6259ddf8, 0x6249c645, 0x6239aac7, 0x62298b81, 0x62196871,
-  0x62094199, 0x61f916f9,
-  0x61e8e893, 0x61d8b666, 0x61c88074, 0x61b846bc, 0x61a80940, 0x6197c800,
-  0x618782fd, 0x61773a37,
-  0x6166edb0, 0x61569d67, 0x6146495d, 0x6135f193, 0x6125960a, 0x611536c2,
-  0x6104d3bc, 0x60f46cf9,
-  0x60e40278, 0x60d3943b, 0x60c32243, 0x60b2ac8f, 0x60a23322, 0x6091b5fa,
-  0x60813519, 0x6070b080,
-  0x6060282f, 0x604f9c27, 0x603f0c69, 0x602e78f4, 0x601de1ca, 0x600d46ec,
-  0x5ffca859, 0x5fec0613,
-  0x5fdb601b, 0x5fcab670, 0x5fba0914, 0x5fa95807, 0x5f98a34a, 0x5f87eade,
-  0x5f772ec2, 0x5f666ef9,
-  0x5f55ab82, 0x5f44e45e, 0x5f34198e, 0x5f234b12, 0x5f1278eb, 0x5f01a31a,
-  0x5ef0c99f, 0x5edfec7b,
-  0x5ecf0baf, 0x5ebe273b, 0x5ead3f1f, 0x5e9c535e, 0x5e8b63f7, 0x5e7a70ea,
-  0x5e697a39, 0x5e587fe5,
-  0x5e4781ed, 0x5e368053, 0x5e257b17, 0x5e147239, 0x5e0365bb, 0x5df2559e,
-  0x5de141e1, 0x5dd02a85,
-  0x5dbf0f8c, 0x5dadf0f5, 0x5d9ccec2, 0x5d8ba8f3, 0x5d7a7f88, 0x5d695283,
-  0x5d5821e4, 0x5d46edac,
-  0x5d35b5db, 0x5d247a72, 0x5d133b72, 0x5d01f8dc, 0x5cf0b2af, 0x5cdf68ed,
-  0x5cce1b97, 0x5cbccaac,
-  0x5cab762f, 0x5c9a1e1e, 0x5c88c27c, 0x5c776348, 0x5c660084, 0x5c549a30,
-  0x5c43304d, 0x5c31c2db,
-  0x5c2051db, 0x5c0edd4e, 0x5bfd6534, 0x5bebe98e, 0x5bda6a5d, 0x5bc8e7a2,
-  0x5bb7615d, 0x5ba5d78e,
-  0x5b944a37, 0x5b82b958, 0x5b7124f2, 0x5b5f8d06, 0x5b4df193, 0x5b3c529c,
-  0x5b2ab020, 0x5b190a20,
-  0x5b07609d, 0x5af5b398, 0x5ae40311, 0x5ad24f09, 0x5ac09781, 0x5aaedc78,
-  0x5a9d1df1, 0x5a8b5bec,
-  0x5a799669, 0x5a67cd69, 0x5a5600ec, 0x5a4430f5, 0x5a325d82, 0x5a208695,
-  0x5a0eac2e, 0x59fcce4f,
-  0x59eaecf8, 0x59d90829, 0x59c71fe3, 0x59b53427, 0x59a344f6, 0x59915250,
-  0x597f5c36, 0x596d62a9,
-  0x595b65aa, 0x59496538, 0x59376155, 0x59255a02, 0x59134f3e, 0x5901410c,
-  0x58ef2f6b, 0x58dd1a5d,
-  0x58cb01e1, 0x58b8e5f9, 0x58a6c6a5, 0x5894a3e7, 0x58827dbe, 0x5870542c,
-  0x585e2730, 0x584bf6cd,
-  0x5839c302, 0x58278bd1, 0x58155139, 0x5803133c, 0x57f0d1da, 0x57de8d15,
-  0x57cc44ec, 0x57b9f960,
-  0x57a7aa73, 0x57955825, 0x57830276, 0x5770a968, 0x575e4cfa, 0x574bed2f,
-  0x57398a05, 0x5727237f,
-  0x5714b99d, 0x57024c5f, 0x56efdbc7, 0x56dd67d4, 0x56caf088, 0x56b875e4,
-  0x56a5f7e7, 0x56937694,
-  0x5680f1ea, 0x566e69ea, 0x565bde95, 0x56494fec, 0x5636bdef, 0x5624289f,
-  0x56118ffe, 0x55fef40a,
-  0x55ec54c6, 0x55d9b232, 0x55c70c4f, 0x55b4631d, 0x55a1b69d, 0x558f06d0,
-  0x557c53b6, 0x55699d51,
-  0x5556e3a1, 0x554426a7, 0x55316663, 0x551ea2d6, 0x550bdc01, 0x54f911e5,
-  0x54e64482, 0x54d373d9,
-  0x54c09feb, 0x54adc8b8, 0x549aee42, 0x54881089, 0x54752f8d, 0x54624b50,
-  0x544f63d2, 0x543c7914,
-  0x54298b17, 0x541699db, 0x5403a561, 0x53f0adaa, 0x53ddb2b6, 0x53cab486,
-  0x53b7b31c, 0x53a4ae77,
-  0x5391a699, 0x537e9b82, 0x536b8d33, 0x53587bad, 0x534566f0, 0x53324efd,
-  0x531f33d5, 0x530c1579,
-  0x52f8f3e9, 0x52e5cf27, 0x52d2a732, 0x52bf7c0b, 0x52ac4db4, 0x52991c2d,
-  0x5285e777, 0x5272af92,
-  0x525f7480, 0x524c3640, 0x5238f4d4, 0x5225b03d, 0x5212687b, 0x51ff1d8f,
-  0x51ebcf7a, 0x51d87e3c,
-  0x51c529d7, 0x51b1d24a, 0x519e7797, 0x518b19bf, 0x5177b8c2, 0x516454a0,
-  0x5150ed5c, 0x513d82f4,
-  0x512a156b, 0x5116a4c1, 0x510330f7, 0x50efba0d, 0x50dc4005, 0x50c8c2de,
-  0x50b5429a, 0x50a1bf39,
-  0x508e38bd, 0x507aaf25, 0x50672273, 0x505392a8, 0x503fffc4, 0x502c69c8,
-  0x5018d0b4, 0x5005348a,
-  0x4ff1954b, 0x4fddf2f6, 0x4fca4d8d, 0x4fb6a510, 0x4fa2f981, 0x4f8f4ae0,
-  0x4f7b992d, 0x4f67e46a,
-  0x4f542c98, 0x4f4071b6, 0x4f2cb3c7, 0x4f18f2c9, 0x4f052ec0, 0x4ef167aa,
-  0x4edd9d89, 0x4ec9d05e,
-  0x4eb60029, 0x4ea22ceb, 0x4e8e56a5, 0x4e7a7d58, 0x4e66a105, 0x4e52c1ab,
-  0x4e3edf4d, 0x4e2af9ea,
-  0x4e171184, 0x4e03261b, 0x4def37b0, 0x4ddb4644, 0x4dc751d8, 0x4db35a6c,
-  0x4d9f6001, 0x4d8b6298,
-  0x4d776231, 0x4d635ece, 0x4d4f5870, 0x4d3b4f16, 0x4d2742c2, 0x4d133374,
-  0x4cff212e, 0x4ceb0bf0,
-  0x4cd6f3bb, 0x4cc2d88f, 0x4caeba6e, 0x4c9a9958, 0x4c86754e, 0x4c724e50,
-  0x4c5e2460, 0x4c49f77f,
-  0x4c35c7ac, 0x4c2194e9, 0x4c0d5f37, 0x4bf92697, 0x4be4eb08, 0x4bd0ac8d,
-  0x4bbc6b25, 0x4ba826d1,
-  0x4b93df93, 0x4b7f956b, 0x4b6b485a, 0x4b56f861, 0x4b42a580, 0x4b2e4fb8,
-  0x4b19f70a, 0x4b059b77,
-  0x4af13d00, 0x4adcdba5, 0x4ac87767, 0x4ab41046, 0x4a9fa645, 0x4a8b3963,
-  0x4a76c9a2, 0x4a625701,
-  0x4a4de182, 0x4a396926, 0x4a24edee, 0x4a106fda, 0x49fbeeea, 0x49e76b21,
-  0x49d2e47e, 0x49be5b02,
-  0x49a9ceaf, 0x49953f84, 0x4980ad84, 0x496c18ae, 0x49578103, 0x4942e684,
-  0x492e4933, 0x4919a90f,
-  0x4905061a, 0x48f06054, 0x48dbb7be, 0x48c70c59, 0x48b25e25, 0x489dad25,
-  0x4888f957, 0x487442be,
-  0x485f8959, 0x484acd2a, 0x48360e32, 0x48214c71, 0x480c87e8, 0x47f7c099,
-  0x47e2f682, 0x47ce29a7,
-  0x47b95a06, 0x47a487a2, 0x478fb27b, 0x477ada91, 0x4765ffe6, 0x4751227a,
-  0x473c424e, 0x47275f63,
-  0x471279ba, 0x46fd9154, 0x46e8a631, 0x46d3b852, 0x46bec7b8, 0x46a9d464,
-  0x4694de56, 0x467fe590,
-  0x466aea12, 0x4655ebdd, 0x4640eaf2, 0x462be751, 0x4616e0fc, 0x4601d7f3,
-  0x45eccc37, 0x45d7bdc9,
-  0x45c2acaa, 0x45ad98da, 0x4598825a, 0x4583692c, 0x456e4d4f, 0x45592ec6,
-  0x45440d90, 0x452ee9ae,
-  0x4519c321, 0x450499eb, 0x44ef6e0b, 0x44da3f83, 0x44c50e53, 0x44afda7d,
-  0x449aa400, 0x44856adf,
-  0x44702f19, 0x445af0b0, 0x4445afa4, 0x44306bf6, 0x441b25a8, 0x4405dcb9,
-  0x43f0912b, 0x43db42fe,
-  0x43c5f234, 0x43b09ecc, 0x439b48c9, 0x4385f02a, 0x437094f1, 0x435b371f,
-  0x4345d6b3, 0x433073b0,
-  0x431b0e15, 0x4305a5e5, 0x42f03b1e, 0x42dacdc3, 0x42c55dd4, 0x42afeb53,
-  0x429a763f, 0x4284fe99,
-  0x426f8463, 0x425a079e, 0x42448849, 0x422f0667, 0x421981f7, 0x4203fafb,
-  0x41ee7174, 0x41d8e561,
-  0x41c356c5, 0x41adc5a0, 0x419831f3, 0x41829bbe, 0x416d0302, 0x415767c1,
-  0x4141c9fb, 0x412c29b1,
-  0x411686e4, 0x4100e194, 0x40eb39c3, 0x40d58f71, 0x40bfe29f, 0x40aa334e,
-  0x4094817f, 0x407ecd32,
-  0x40691669, 0x40535d24, 0x403da165, 0x4027e32b, 0x40122278, 0x3ffc5f4d,
-  0x3fe699aa, 0x3fd0d191,
-  0x3fbb0702, 0x3fa539fd, 0x3f8f6a85, 0x3f799899, 0x3f63c43b, 0x3f4ded6b,
-  0x3f38142a, 0x3f22387a,
-  0x3f0c5a5a, 0x3ef679cc, 0x3ee096d1, 0x3ecab169, 0x3eb4c995, 0x3e9edf57,
-  0x3e88f2ae, 0x3e73039d,
-  0x3e5d1222, 0x3e471e41, 0x3e3127f9, 0x3e1b2f4a, 0x3e053437, 0x3def36c0,
-  0x3dd936e6, 0x3dc334a9,
-  0x3dad300b, 0x3d97290b, 0x3d811fac, 0x3d6b13ee, 0x3d5505d2, 0x3d3ef559,
-  0x3d28e282, 0x3d12cd51,
-  0x3cfcb5c4, 0x3ce69bde, 0x3cd07f9f, 0x3cba6107, 0x3ca44018, 0x3c8e1cd3,
-  0x3c77f737, 0x3c61cf48,
-  0x3c4ba504, 0x3c35786d, 0x3c1f4983, 0x3c091849, 0x3bf2e4be, 0x3bdcaee3,
-  0x3bc676b9, 0x3bb03c42,
-  0x3b99ff7d, 0x3b83c06c, 0x3b6d7f10, 0x3b573b69, 0x3b40f579, 0x3b2aad3f,
-  0x3b1462be, 0x3afe15f6,
-  0x3ae7c6e7, 0x3ad17593, 0x3abb21fb, 0x3aa4cc1e, 0x3a8e7400, 0x3a78199f,
-  0x3a61bcfd, 0x3a4b5e1b,
-  0x3a34fcf9, 0x3a1e9999, 0x3a0833fc, 0x39f1cc21, 0x39db620b, 0x39c4f5ba,
-  0x39ae872f, 0x3998166a,
-  0x3981a36d, 0x396b2e38, 0x3954b6cd, 0x393e3d2c, 0x3927c155, 0x3911434b,
-  0x38fac30e, 0x38e4409e,
-  0x38cdbbfc, 0x38b7352a, 0x38a0ac29, 0x388a20f8, 0x38739399, 0x385d040d,
-  0x38467255, 0x382fde72,
-  0x38194864, 0x3802b02c, 0x37ec15cb, 0x37d57943, 0x37beda93, 0x37a839be,
-  0x379196c3, 0x377af1a3,
-  0x37644a60, 0x374da0fa, 0x3736f573, 0x372047ca, 0x37099802, 0x36f2e61a,
-  0x36dc3214, 0x36c57bf0,
-  0x36aec3b0, 0x36980954, 0x36814cde, 0x366a8e4d, 0x3653cda3, 0x363d0ae2,
-  0x36264609, 0x360f7f19,
-  0x35f8b614, 0x35e1eafa, 0x35cb1dcc, 0x35b44e8c, 0x359d7d39, 0x3586a9d5,
-  0x356fd461, 0x3558fcde,
-  0x3542234c, 0x352b47ad, 0x35146a00, 0x34fd8a48, 0x34e6a885, 0x34cfc4b7,
-  0x34b8dee1, 0x34a1f702,
-  0x348b0d1c, 0x3474212f, 0x345d333c, 0x34464345, 0x342f5149, 0x34185d4b,
-  0x3401674a, 0x33ea6f48,
-  0x33d37546, 0x33bc7944, 0x33a57b44, 0x338e7b46, 0x3377794b, 0x33607554,
-  0x33496f62, 0x33326776,
-  0x331b5d91, 0x330451b3, 0x32ed43de, 0x32d63412, 0x32bf2250, 0x32a80e99,
-  0x3290f8ef, 0x3279e151,
-  0x3262c7c1, 0x324bac40, 0x32348ecf, 0x321d6f6e, 0x32064e1e, 0x31ef2ae1,
-  0x31d805b7, 0x31c0dea1,
-  0x31a9b5a0, 0x31928ab4, 0x317b5de0, 0x31642f23, 0x314cfe7f, 0x3135cbf4,
-  0x311e9783, 0x3107612e,
-  0x30f028f4, 0x30d8eed8, 0x30c1b2da, 0x30aa74fa, 0x3093353a, 0x307bf39b,
-  0x3064b01d, 0x304d6ac1,
-  0x30362389, 0x301eda75, 0x30078f86, 0x2ff042bd, 0x2fd8f41b, 0x2fc1a3a0,
-  0x2faa514f, 0x2f92fd26,
-  0x2f7ba729, 0x2f644f56, 0x2f4cf5b0, 0x2f359a37, 0x2f1e3ced, 0x2f06ddd1,
-  0x2eef7ce5, 0x2ed81a29,
-  0x2ec0b5a0, 0x2ea94f49, 0x2e91e725, 0x2e7a7d36, 0x2e63117c, 0x2e4ba3f8,
-  0x2e3434ac, 0x2e1cc397,
-  0x2e0550bb, 0x2deddc19, 0x2dd665b2, 0x2dbeed86, 0x2da77397, 0x2d8ff7e5,
-  0x2d787a72, 0x2d60fb3e,
-  0x2d497a4a, 0x2d31f797, 0x2d1a7325, 0x2d02ecf7, 0x2ceb650d, 0x2cd3db67,
-  0x2cbc5006, 0x2ca4c2ed,
-  0x2c8d341a, 0x2c75a390, 0x2c5e114f, 0x2c467d58, 0x2c2ee7ad, 0x2c17504d,
-  0x2bffb73a, 0x2be81c74,
-  0x2bd07ffe, 0x2bb8e1d7, 0x2ba14200, 0x2b89a07b, 0x2b71fd48, 0x2b5a5868,
-  0x2b42b1dd, 0x2b2b09a6,
-  0x2b135fc6, 0x2afbb43c, 0x2ae4070a, 0x2acc5831, 0x2ab4a7b1, 0x2a9cf58c,
-  0x2a8541c3, 0x2a6d8c55,
-  0x2a55d545, 0x2a3e1c93, 0x2a266240, 0x2a0ea64d, 0x29f6e8bb, 0x29df298b,
-  0x29c768be, 0x29afa654,
-  0x2997e24f, 0x29801caf, 0x29685576, 0x29508ca4, 0x2938c23a, 0x2920f63a,
-  0x290928a3, 0x28f15978,
-  0x28d988b8, 0x28c1b666, 0x28a9e281, 0x28920d0a, 0x287a3604, 0x28625d6d,
-  0x284a8349, 0x2832a796,
-  0x281aca57, 0x2802eb8c, 0x27eb0b36, 0x27d32956, 0x27bb45ed, 0x27a360fc,
-  0x278b7a84, 0x27739285,
-  0x275ba901, 0x2743bdf9, 0x272bd16d, 0x2713e35f, 0x26fbf3ce, 0x26e402bd,
-  0x26cc102d, 0x26b41c1d,
-  0x269c268f, 0x26842f84, 0x266c36fe, 0x26543cfb, 0x263c417f, 0x26244489,
-  0x260c461b, 0x25f44635,
-  0x25dc44d9, 0x25c44207, 0x25ac3dc0, 0x25943806, 0x257c30d8, 0x25642839,
-  0x254c1e28, 0x253412a8,
-  0x251c05b8, 0x2503f75a, 0x24ebe78f, 0x24d3d657, 0x24bbc3b4, 0x24a3afa6,
-  0x248b9a2f, 0x2473834f,
-  0x245b6b07, 0x24435158, 0x242b3644, 0x241319ca, 0x23fafbec, 0x23e2dcac,
-  0x23cabc09, 0x23b29a05,
-  0x239a76a0, 0x238251dd, 0x236a2bba, 0x2352043b, 0x2339db5e, 0x2321b126,
-  0x23098593, 0x22f158a7,
-  0x22d92a61, 0x22c0fac4, 0x22a8c9cf, 0x22909785, 0x227863e5, 0x22602ef1,
-  0x2247f8aa, 0x222fc111,
-  0x22178826, 0x21ff4dea, 0x21e71260, 0x21ced586, 0x21b6975f, 0x219e57eb,
-  0x2186172b, 0x216dd521,
-  0x215591cc, 0x213d4d2f, 0x21250749, 0x210cc01d, 0x20f477aa, 0x20dc2df2,
-  0x20c3e2f5, 0x20ab96b5,
-  0x20934933, 0x207afa6f, 0x2062aa6b, 0x204a5927, 0x203206a4, 0x2019b2e4,
-  0x20015de7, 0x1fe907ae,
-  0x1fd0b03a, 0x1fb8578b, 0x1f9ffda4, 0x1f87a285, 0x1f6f462f, 0x1f56e8a2,
-  0x1f3e89e0, 0x1f2629ea,
-  0x1f0dc8c0, 0x1ef56664, 0x1edd02d6, 0x1ec49e17, 0x1eac3829, 0x1e93d10c,
-  0x1e7b68c2, 0x1e62ff4a,
-  0x1e4a94a7, 0x1e3228d9, 0x1e19bbe0, 0x1e014dbf, 0x1de8de75, 0x1dd06e04,
-  0x1db7fc6d, 0x1d9f89b1,
-  0x1d8715d0, 0x1d6ea0cc, 0x1d562aa6, 0x1d3db35e, 0x1d253af5, 0x1d0cc16c,
-  0x1cf446c5, 0x1cdbcb00,
-  0x1cc34e1f, 0x1caad021, 0x1c925109, 0x1c79d0d6, 0x1c614f8b, 0x1c48cd27,
-  0x1c3049ac, 0x1c17c51b,
-  0x1bff3f75, 0x1be6b8ba, 0x1bce30ec, 0x1bb5a80c, 0x1b9d1e1a, 0x1b849317,
-  0x1b6c0705, 0x1b5379e5,
-  0x1b3aebb6, 0x1b225c7b, 0x1b09cc34, 0x1af13ae3, 0x1ad8a887, 0x1ac01522,
-  0x1aa780b6, 0x1a8eeb42,
-  0x1a7654c8, 0x1a5dbd49, 0x1a4524c6, 0x1a2c8b3f, 0x1a13f0b6, 0x19fb552c,
-  0x19e2b8a2, 0x19ca1b17,
-  0x19b17c8f, 0x1998dd09, 0x19803c86, 0x19679b07, 0x194ef88e, 0x1936551b,
-  0x191db0af, 0x19050b4b,
-  0x18ec64f0, 0x18d3bda0, 0x18bb155a, 0x18a26c20, 0x1889c1f3, 0x187116d4,
-  0x18586ac3, 0x183fbdc3,
-  0x18270fd3, 0x180e60f4, 0x17f5b129, 0x17dd0070, 0x17c44ecd, 0x17ab9c3e,
-  0x1792e8c6, 0x177a3466,
-  0x17617f1d, 0x1748c8ee, 0x173011d9, 0x171759df, 0x16fea102, 0x16e5e741,
-  0x16cd2c9f, 0x16b4711b,
-  0x169bb4b7, 0x1682f774, 0x166a3953, 0x16517a55, 0x1638ba7a, 0x161ff9c4,
-  0x16073834, 0x15ee75cb,
-  0x15d5b288, 0x15bcee6f, 0x15a4297f, 0x158b63b9, 0x15729d1f, 0x1559d5b1,
-  0x15410d70, 0x1528445d,
-  0x150f7a7a, 0x14f6afc7, 0x14dde445, 0x14c517f4, 0x14ac4ad7, 0x14937cee,
-  0x147aae3a, 0x1461debc,
-  0x14490e74, 0x14303d65, 0x14176b8e, 0x13fe98f1, 0x13e5c58e, 0x13ccf167,
-  0x13b41c7d, 0x139b46d0,
-  0x13827062, 0x13699933, 0x1350c144, 0x1337e897, 0x131f0f2c, 0x13063505,
-  0x12ed5a21, 0x12d47e83,
-  0x12bba22b, 0x12a2c51b, 0x1289e752, 0x127108d2, 0x1258299c, 0x123f49b2,
-  0x12266913, 0x120d87c1,
-  0x11f4a5bd, 0x11dbc307, 0x11c2dfa2, 0x11a9fb8d, 0x119116c9, 0x11783159,
-  0x115f4b3c, 0x11466473,
-  0x112d7d00, 0x111494e4, 0x10fbac1e, 0x10e2c2b2, 0x10c9d89e, 0x10b0ede5,
-  0x10980287, 0x107f1686,
-  0x106629e1, 0x104d3c9b, 0x10344eb4, 0x101b602d, 0x10027107, 0xfe98143,
-  0xfd090e1, 0xfb79fe4,
-  0xf9eae4c, 0xf85bc19, 0xf6cc94e, 0xf53d5ea, 0xf3ae1ee, 0xf21ed5d, 0xf08f836,
-  0xef0027b,
-  0xed70c2c, 0xebe154b, 0xea51dd8, 0xe8c25d5, 0xe732d42, 0xe5a3421, 0xe413a72,
-  0xe284036,
-  0xe0f456f, 0xdf64a1c, 0xddd4e40, 0xdc451dc, 0xdab54ef, 0xd92577b, 0xd795982,
-  0xd605b03,
-  0xd475c00, 0xd2e5c7b, 0xd155c73, 0xcfc5bea, 0xce35ae1, 0xcca5959, 0xcb15752,
-  0xc9854cf,
-  0xc7f51cf, 0xc664e53, 0xc4d4a5d, 0xc3445ee, 0xc1b4107, 0xc023ba7, 0xbe935d2,
-  0xbd02f87,
-  0xbb728c7, 0xb9e2193, 0xb8519ed, 0xb6c11d5, 0xb53094d, 0xb3a0055, 0xb20f6ee,
-  0xb07ed19,
-  0xaeee2d7, 0xad5d829, 0xabccd11, 0xaa3c18e, 0xa8ab5a2, 0xa71a94f, 0xa589c94,
-  0xa3f8f73,
-  0xa2681ed, 0xa0d7403, 0x9f465b5, 0x9db5706, 0x9c247f5, 0x9a93884, 0x99028b3,
-  0x9771884,
-  0x95e07f8, 0x944f70f, 0x92be5ca, 0x912d42c, 0x8f9c233, 0x8e0afe2, 0x8c79d3a,
-  0x8ae8a3a,
-  0x89576e5, 0x87c633c, 0x8634f3e, 0x84a3aee, 0x831264c, 0x8181159, 0x7fefc16,
-  0x7e5e685,
-  0x7ccd0a5, 0x7b3ba78, 0x79aa400, 0x7818d3c, 0x768762e, 0x74f5ed7, 0x7364738,
-  0x71d2f52,
-  0x7041726, 0x6eafeb4, 0x6d1e5fe, 0x6b8cd05, 0x69fb3c9, 0x6869a4c, 0x66d808f,
-  0x6546692,
-  0x63b4c57, 0x62231de, 0x6091729, 0x5effc38, 0x5d6e10c, 0x5bdc5a7, 0x5a4aa09,
-  0x58b8e34,
-  0x5727228, 0x55955e6, 0x540396f, 0x5271cc4, 0x50dffe7, 0x4f4e2d8, 0x4dbc597,
-  0x4c2a827,
-  0x4a98a88, 0x4906cbb, 0x4774ec1, 0x45e309a, 0x4451249, 0x42bf3cd, 0x412d528,
-  0x3f9b65b,
-  0x3e09767, 0x3c7784d, 0x3ae590d, 0x39539a9, 0x37c1a22, 0x362fa78, 0x349daac,
-  0x330bac1,
-  0x3179ab5, 0x2fe7a8c, 0x2e55a44, 0x2cc39e1, 0x2b31961, 0x299f8c7, 0x280d813,
-  0x267b747,
-  0x24e9662, 0x2357567, 0x21c5457, 0x2033331, 0x1ea11f7, 0x1d0f0ab, 0x1b7cf4d,
-  0x19eaddd,
-  0x1858c5e, 0x16c6ad0, 0x1534934, 0x13a278a, 0x12105d5, 0x107e414, 0xeec249,
-  0xd5a075,
-  0xbc7e99, 0xa35cb5, 0x8a3acb, 0x7118dc, 0x57f6e9, 0x3ed4f2, 0x25b2f8,
-  0xc90fe,
-
-};
-
-static const q31_t cos_factorsQ31_8192[8192] = {
-  0x7ffffff6, 0x7fffffa7, 0x7fffff09, 0x7ffffe1c, 0x7ffffce1, 0x7ffffb56,
-    0x7ffff97c, 0x7ffff753,
-  0x7ffff4dc, 0x7ffff215, 0x7fffef00, 0x7fffeb9b, 0x7fffe7e8, 0x7fffe3e5,
-    0x7fffdf94, 0x7fffdaf3,
-  0x7fffd604, 0x7fffd0c6, 0x7fffcb39, 0x7fffc55c, 0x7fffbf31, 0x7fffb8b7,
-    0x7fffb1ee, 0x7fffaad6,
-  0x7fffa36f, 0x7fff9bb9, 0x7fff93b4, 0x7fff8b61, 0x7fff82be, 0x7fff79cc,
-    0x7fff708b, 0x7fff66fc,
-  0x7fff5d1d, 0x7fff52ef, 0x7fff4873, 0x7fff3da8, 0x7fff328d, 0x7fff2724,
-    0x7fff1b6b, 0x7fff0f64,
-  0x7fff030e, 0x7ffef669, 0x7ffee975, 0x7ffedc31, 0x7ffece9f, 0x7ffec0be,
-    0x7ffeb28e, 0x7ffea40f,
-  0x7ffe9542, 0x7ffe8625, 0x7ffe76b9, 0x7ffe66fe, 0x7ffe56f5, 0x7ffe469c,
-    0x7ffe35f4, 0x7ffe24fe,
-  0x7ffe13b8, 0x7ffe0224, 0x7ffdf040, 0x7ffdde0e, 0x7ffdcb8d, 0x7ffdb8bc,
-    0x7ffda59d, 0x7ffd922f,
-  0x7ffd7e72, 0x7ffd6a66, 0x7ffd560b, 0x7ffd4161, 0x7ffd2c68, 0x7ffd1720,
-    0x7ffd0189, 0x7ffceba4,
-  0x7ffcd56f, 0x7ffcbeeb, 0x7ffca819, 0x7ffc90f7, 0x7ffc7987, 0x7ffc61c7,
-    0x7ffc49b9, 0x7ffc315b,
-  0x7ffc18af, 0x7ffbffb4, 0x7ffbe66a, 0x7ffbccd0, 0x7ffbb2e8, 0x7ffb98b1,
-    0x7ffb7e2b, 0x7ffb6356,
-  0x7ffb4833, 0x7ffb2cc0, 0x7ffb10fe, 0x7ffaf4ed, 0x7ffad88e, 0x7ffabbdf,
-    0x7ffa9ee2, 0x7ffa8195,
-  0x7ffa63fa, 0x7ffa460f, 0x7ffa27d6, 0x7ffa094e, 0x7ff9ea76, 0x7ff9cb50,
-    0x7ff9abdb, 0x7ff98c17,
-  0x7ff96c04, 0x7ff94ba2, 0x7ff92af1, 0x7ff909f2, 0x7ff8e8a3, 0x7ff8c705,
-    0x7ff8a519, 0x7ff882dd,
-  0x7ff86053, 0x7ff83d79, 0x7ff81a51, 0x7ff7f6da, 0x7ff7d313, 0x7ff7aefe,
-    0x7ff78a9a, 0x7ff765e7,
-  0x7ff740e5, 0x7ff71b94, 0x7ff6f5f4, 0x7ff6d005, 0x7ff6a9c8, 0x7ff6833b,
-    0x7ff65c5f, 0x7ff63535,
-  0x7ff60dbb, 0x7ff5e5f3, 0x7ff5bddc, 0x7ff59576, 0x7ff56cc0, 0x7ff543bc,
-    0x7ff51a69, 0x7ff4f0c7,
-  0x7ff4c6d6, 0x7ff49c96, 0x7ff47208, 0x7ff4472a, 0x7ff41bfd, 0x7ff3f082,
-    0x7ff3c4b7, 0x7ff3989e,
-  0x7ff36c36, 0x7ff33f7e, 0x7ff31278, 0x7ff2e523, 0x7ff2b77f, 0x7ff2898c,
-    0x7ff25b4a, 0x7ff22cb9,
-  0x7ff1fdd9, 0x7ff1ceab, 0x7ff19f2d, 0x7ff16f61, 0x7ff13f45, 0x7ff10edb,
-    0x7ff0de22, 0x7ff0ad19,
-  0x7ff07bc2, 0x7ff04a1c, 0x7ff01827, 0x7fefe5e4, 0x7fefb351, 0x7fef806f,
-    0x7fef4d3e, 0x7fef19bf,
-  0x7feee5f0, 0x7feeb1d3, 0x7fee7d67, 0x7fee48ac, 0x7fee13a1, 0x7fedde48,
-    0x7feda8a0, 0x7fed72aa,
-  0x7fed3c64, 0x7fed05cf, 0x7fecceec, 0x7fec97b9, 0x7fec6038, 0x7fec2867,
-    0x7febf048, 0x7febb7da,
-  0x7feb7f1d, 0x7feb4611, 0x7feb0cb6, 0x7fead30c, 0x7fea9914, 0x7fea5ecc,
-    0x7fea2436, 0x7fe9e950,
-  0x7fe9ae1c, 0x7fe97299, 0x7fe936c7, 0x7fe8faa6, 0x7fe8be36, 0x7fe88177,
-    0x7fe84469, 0x7fe8070d,
-  0x7fe7c961, 0x7fe78b67, 0x7fe74d1e, 0x7fe70e85, 0x7fe6cf9e, 0x7fe69068,
-    0x7fe650e3, 0x7fe61110,
-  0x7fe5d0ed, 0x7fe5907b, 0x7fe54fbb, 0x7fe50eac, 0x7fe4cd4d, 0x7fe48ba0,
-    0x7fe449a4, 0x7fe40759,
-  0x7fe3c4bf, 0x7fe381d7, 0x7fe33e9f, 0x7fe2fb19, 0x7fe2b743, 0x7fe2731f,
-    0x7fe22eac, 0x7fe1e9ea,
-  0x7fe1a4d9, 0x7fe15f79, 0x7fe119cb, 0x7fe0d3cd, 0x7fe08d81, 0x7fe046e5,
-    0x7fdffffb, 0x7fdfb8c2,
-  0x7fdf713a, 0x7fdf2963, 0x7fdee13e, 0x7fde98c9, 0x7fde5006, 0x7fde06f3,
-    0x7fddbd92, 0x7fdd73e2,
-  0x7fdd29e3, 0x7fdcdf95, 0x7fdc94f9, 0x7fdc4a0d, 0x7fdbfed3, 0x7fdbb349,
-    0x7fdb6771, 0x7fdb1b4a,
-  0x7fdaced4, 0x7fda820f, 0x7fda34fc, 0x7fd9e799, 0x7fd999e8, 0x7fd94be8,
-    0x7fd8fd98, 0x7fd8aefa,
-  0x7fd8600e, 0x7fd810d2, 0x7fd7c147, 0x7fd7716e, 0x7fd72146, 0x7fd6d0cf,
-    0x7fd68009, 0x7fd62ef4,
-  0x7fd5dd90, 0x7fd58bdd, 0x7fd539dc, 0x7fd4e78c, 0x7fd494ed, 0x7fd441ff,
-    0x7fd3eec2, 0x7fd39b36,
-  0x7fd3475c, 0x7fd2f332, 0x7fd29eba, 0x7fd249f3, 0x7fd1f4dd, 0x7fd19f78,
-    0x7fd149c5, 0x7fd0f3c2,
-  0x7fd09d71, 0x7fd046d1, 0x7fcfefe2, 0x7fcf98a4, 0x7fcf4117, 0x7fcee93c,
-    0x7fce9112, 0x7fce3898,
-  0x7fcddfd0, 0x7fcd86b9, 0x7fcd2d54, 0x7fccd39f, 0x7fcc799c, 0x7fcc1f4a,
-    0x7fcbc4a9, 0x7fcb69b9,
-  0x7fcb0e7a, 0x7fcab2ed, 0x7fca5710, 0x7fc9fae5, 0x7fc99e6b, 0x7fc941a2,
-    0x7fc8e48b, 0x7fc88724,
-  0x7fc8296f, 0x7fc7cb6b, 0x7fc76d18, 0x7fc70e76, 0x7fc6af86, 0x7fc65046,
-    0x7fc5f0b8, 0x7fc590db,
-  0x7fc530af, 0x7fc4d035, 0x7fc46f6b, 0x7fc40e53, 0x7fc3acec, 0x7fc34b36,
-    0x7fc2e931, 0x7fc286de,
-  0x7fc2243b, 0x7fc1c14a, 0x7fc15e0a, 0x7fc0fa7b, 0x7fc0969e, 0x7fc03271,
-    0x7fbfcdf6, 0x7fbf692c,
-  0x7fbf0414, 0x7fbe9eac, 0x7fbe38f6, 0x7fbdd2f0, 0x7fbd6c9c, 0x7fbd05fa,
-    0x7fbc9f08, 0x7fbc37c8,
-  0x7fbbd039, 0x7fbb685b, 0x7fbb002e, 0x7fba97b2, 0x7fba2ee8, 0x7fb9c5cf,
-    0x7fb95c67, 0x7fb8f2b0,
-  0x7fb888ab, 0x7fb81e57, 0x7fb7b3b4, 0x7fb748c2, 0x7fb6dd81, 0x7fb671f2,
-    0x7fb60614, 0x7fb599e7,
-  0x7fb52d6b, 0x7fb4c0a1, 0x7fb45387, 0x7fb3e61f, 0x7fb37869, 0x7fb30a63,
-    0x7fb29c0f, 0x7fb22d6c,
-  0x7fb1be7a, 0x7fb14f39, 0x7fb0dfaa, 0x7fb06fcb, 0x7fafff9e, 0x7faf8f23,
-    0x7faf1e58, 0x7faead3f,
-  0x7fae3bd7, 0x7fadca20, 0x7fad581b, 0x7face5c6, 0x7fac7323, 0x7fac0031,
-    0x7fab8cf1, 0x7fab1962,
-  0x7faaa584, 0x7faa3157, 0x7fa9bcdb, 0x7fa94811, 0x7fa8d2f8, 0x7fa85d90,
-    0x7fa7e7d9, 0x7fa771d4,
-  0x7fa6fb80, 0x7fa684dd, 0x7fa60dec, 0x7fa596ac, 0x7fa51f1d, 0x7fa4a73f,
-    0x7fa42f12, 0x7fa3b697,
-  0x7fa33dcd, 0x7fa2c4b5, 0x7fa24b4d, 0x7fa1d197, 0x7fa15792, 0x7fa0dd3f,
-    0x7fa0629c, 0x7f9fe7ab,
-  0x7f9f6c6b, 0x7f9ef0dd, 0x7f9e7500, 0x7f9df8d4, 0x7f9d7c59, 0x7f9cff90,
-    0x7f9c8278, 0x7f9c0511,
-  0x7f9b875b, 0x7f9b0957, 0x7f9a8b04, 0x7f9a0c62, 0x7f998d72, 0x7f990e33,
-    0x7f988ea5, 0x7f980ec8,
-  0x7f978e9d, 0x7f970e23, 0x7f968d5b, 0x7f960c43, 0x7f958add, 0x7f950929,
-    0x7f948725, 0x7f9404d3,
-  0x7f938232, 0x7f92ff43, 0x7f927c04, 0x7f91f878, 0x7f91749c, 0x7f90f072,
-    0x7f906bf9, 0x7f8fe731,
-  0x7f8f621b, 0x7f8edcb6, 0x7f8e5702, 0x7f8dd0ff, 0x7f8d4aae, 0x7f8cc40f,
-    0x7f8c3d20, 0x7f8bb5e3,
-  0x7f8b2e57, 0x7f8aa67d, 0x7f8a1e54, 0x7f8995dc, 0x7f890d15, 0x7f888400,
-    0x7f87fa9c, 0x7f8770ea,
-  0x7f86e6e9, 0x7f865c99, 0x7f85d1fa, 0x7f85470d, 0x7f84bbd1, 0x7f843047,
-    0x7f83a46e, 0x7f831846,
-  0x7f828bcf, 0x7f81ff0a, 0x7f8171f6, 0x7f80e494, 0x7f8056e3, 0x7f7fc8e3,
-    0x7f7f3a95, 0x7f7eabf8,
-  0x7f7e1d0c, 0x7f7d8dd2, 0x7f7cfe49, 0x7f7c6e71, 0x7f7bde4b, 0x7f7b4dd6,
-    0x7f7abd13, 0x7f7a2c01,
-  0x7f799aa0, 0x7f7908f0, 0x7f7876f2, 0x7f77e4a6, 0x7f77520a, 0x7f76bf21,
-    0x7f762be8, 0x7f759861,
-  0x7f75048b, 0x7f747067, 0x7f73dbf4, 0x7f734732, 0x7f72b222, 0x7f721cc3,
-    0x7f718715, 0x7f70f119,
-  0x7f705ace, 0x7f6fc435, 0x7f6f2d4d, 0x7f6e9617, 0x7f6dfe91, 0x7f6d66be,
-    0x7f6cce9b, 0x7f6c362a,
-  0x7f6b9d6b, 0x7f6b045d, 0x7f6a6b00, 0x7f69d154, 0x7f69375a, 0x7f689d12,
-    0x7f68027b, 0x7f676795,
-  0x7f66cc61, 0x7f6630de, 0x7f65950c, 0x7f64f8ec, 0x7f645c7d, 0x7f63bfc0,
-    0x7f6322b4, 0x7f62855a,
-  0x7f61e7b1, 0x7f6149b9, 0x7f60ab73, 0x7f600cdf, 0x7f5f6dfb, 0x7f5ecec9,
-    0x7f5e2f49, 0x7f5d8f7a,
-  0x7f5cef5c, 0x7f5c4ef0, 0x7f5bae36, 0x7f5b0d2c, 0x7f5a6bd5, 0x7f59ca2e,
-    0x7f592839, 0x7f5885f6,
-  0x7f57e364, 0x7f574083, 0x7f569d54, 0x7f55f9d6, 0x7f55560a, 0x7f54b1ef,
-    0x7f540d86, 0x7f5368ce,
-  0x7f52c3c8, 0x7f521e73, 0x7f5178cf, 0x7f50d2dd, 0x7f502c9d, 0x7f4f860e,
-    0x7f4edf30, 0x7f4e3804,
-  0x7f4d9089, 0x7f4ce8c0, 0x7f4c40a8, 0x7f4b9842, 0x7f4aef8d, 0x7f4a468a,
-    0x7f499d38, 0x7f48f398,
-  0x7f4849a9, 0x7f479f6c, 0x7f46f4e0, 0x7f464a06, 0x7f459edd, 0x7f44f365,
-    0x7f44479f, 0x7f439b8b,
-  0x7f42ef28, 0x7f424277, 0x7f419577, 0x7f40e828, 0x7f403a8b, 0x7f3f8ca0,
-    0x7f3ede66, 0x7f3e2fde,
-  0x7f3d8107, 0x7f3cd1e2, 0x7f3c226e, 0x7f3b72ab, 0x7f3ac29b, 0x7f3a123b,
-    0x7f39618e, 0x7f38b091,
-  0x7f37ff47, 0x7f374dad, 0x7f369bc6, 0x7f35e990, 0x7f35370b, 0x7f348438,
-    0x7f33d116, 0x7f331da6,
-  0x7f3269e8, 0x7f31b5db, 0x7f31017f, 0x7f304cd6, 0x7f2f97dd, 0x7f2ee296,
-    0x7f2e2d01, 0x7f2d771e,
-  0x7f2cc0eb, 0x7f2c0a6b, 0x7f2b539c, 0x7f2a9c7e, 0x7f29e512, 0x7f292d58,
-    0x7f28754f, 0x7f27bcf8,
-  0x7f270452, 0x7f264b5e, 0x7f25921c, 0x7f24d88b, 0x7f241eab, 0x7f23647e,
-    0x7f22aa01, 0x7f21ef37,
-  0x7f21341e, 0x7f2078b6, 0x7f1fbd00, 0x7f1f00fc, 0x7f1e44a9, 0x7f1d8808,
-    0x7f1ccb18, 0x7f1c0dda,
-  0x7f1b504e, 0x7f1a9273, 0x7f19d44a, 0x7f1915d2, 0x7f18570c, 0x7f1797f8,
-    0x7f16d895, 0x7f1618e4,
-  0x7f1558e4, 0x7f149896, 0x7f13d7fa, 0x7f13170f, 0x7f1255d6, 0x7f11944f,
-    0x7f10d279, 0x7f101054,
-  0x7f0f4de2, 0x7f0e8b21, 0x7f0dc811, 0x7f0d04b3, 0x7f0c4107, 0x7f0b7d0d,
-    0x7f0ab8c4, 0x7f09f42d,
-  0x7f092f47, 0x7f086a13, 0x7f07a491, 0x7f06dec0, 0x7f0618a1, 0x7f055233,
-    0x7f048b78, 0x7f03c46d,
-  0x7f02fd15, 0x7f02356e, 0x7f016d79, 0x7f00a535, 0x7effdca4, 0x7eff13c3,
-    0x7efe4a95, 0x7efd8118,
-  0x7efcb74d, 0x7efbed33, 0x7efb22cb, 0x7efa5815, 0x7ef98d11, 0x7ef8c1be,
-    0x7ef7f61d, 0x7ef72a2d,
-  0x7ef65def, 0x7ef59163, 0x7ef4c489, 0x7ef3f760, 0x7ef329e9, 0x7ef25c24,
-    0x7ef18e10, 0x7ef0bfae,
-  0x7eeff0fe, 0x7eef21ff, 0x7eee52b2, 0x7eed8317, 0x7eecb32d, 0x7eebe2f6,
-    0x7eeb1270, 0x7eea419b,
-  0x7ee97079, 0x7ee89f08, 0x7ee7cd49, 0x7ee6fb3b, 0x7ee628df, 0x7ee55635,
-    0x7ee4833d, 0x7ee3aff6,
-  0x7ee2dc61, 0x7ee2087e, 0x7ee1344d, 0x7ee05fcd, 0x7edf8aff, 0x7edeb5e3,
-    0x7edde079, 0x7edd0ac0,
-  0x7edc34b9, 0x7edb5e64, 0x7eda87c0, 0x7ed9b0ce, 0x7ed8d98e, 0x7ed80200,
-    0x7ed72a24, 0x7ed651f9,
-  0x7ed57980, 0x7ed4a0b9, 0x7ed3c7a3, 0x7ed2ee40, 0x7ed2148e, 0x7ed13a8e,
-    0x7ed0603f, 0x7ecf85a3,
-  0x7eceaab8, 0x7ecdcf7f, 0x7eccf3f8, 0x7ecc1822, 0x7ecb3bff, 0x7eca5f8d,
-    0x7ec982cd, 0x7ec8a5bf,
-  0x7ec7c862, 0x7ec6eab7, 0x7ec60cbe, 0x7ec52e77, 0x7ec44fe2, 0x7ec370fe,
-    0x7ec291cd, 0x7ec1b24d,
-  0x7ec0d27f, 0x7ebff263, 0x7ebf11f8, 0x7ebe313f, 0x7ebd5039, 0x7ebc6ee4,
-    0x7ebb8d40, 0x7ebaab4f,
-  0x7eb9c910, 0x7eb8e682, 0x7eb803a6, 0x7eb7207c, 0x7eb63d04, 0x7eb5593d,
-    0x7eb47529, 0x7eb390c6,
-  0x7eb2ac15, 0x7eb1c716, 0x7eb0e1c9, 0x7eaffc2e, 0x7eaf1645, 0x7eae300d,
-    0x7ead4987, 0x7eac62b3,
-  0x7eab7b91, 0x7eaa9421, 0x7ea9ac63, 0x7ea8c457, 0x7ea7dbfc, 0x7ea6f353,
-    0x7ea60a5d, 0x7ea52118,
-  0x7ea43785, 0x7ea34da4, 0x7ea26374, 0x7ea178f7, 0x7ea08e2b, 0x7e9fa312,
-    0x7e9eb7aa, 0x7e9dcbf4,
-  0x7e9cdff0, 0x7e9bf39e, 0x7e9b06fe, 0x7e9a1a10, 0x7e992cd4, 0x7e983f49,
-    0x7e975171, 0x7e96634a,
-  0x7e9574d6, 0x7e948613, 0x7e939702, 0x7e92a7a3, 0x7e91b7f6, 0x7e90c7fb,
-    0x7e8fd7b2, 0x7e8ee71b,
-  0x7e8df636, 0x7e8d0502, 0x7e8c1381, 0x7e8b21b1, 0x7e8a2f94, 0x7e893d28,
-    0x7e884a6f, 0x7e875767,
-  0x7e866411, 0x7e85706d, 0x7e847c7c, 0x7e83883c, 0x7e8293ae, 0x7e819ed2,
-    0x7e80a9a8, 0x7e7fb430,
-  0x7e7ebe6a, 0x7e7dc856, 0x7e7cd1f4, 0x7e7bdb44, 0x7e7ae446, 0x7e79ecf9,
-    0x7e78f55f, 0x7e77fd77,
-  0x7e770541, 0x7e760cbd, 0x7e7513ea, 0x7e741aca, 0x7e73215c, 0x7e7227a0,
-    0x7e712d96, 0x7e70333d,
-  0x7e6f3897, 0x7e6e3da3, 0x7e6d4261, 0x7e6c46d1, 0x7e6b4af2, 0x7e6a4ec6,
-    0x7e69524c, 0x7e685584,
-  0x7e67586e, 0x7e665b0a, 0x7e655d58, 0x7e645f58, 0x7e63610a, 0x7e62626e,
-    0x7e616384, 0x7e60644c,
-  0x7e5f64c7, 0x7e5e64f3, 0x7e5d64d1, 0x7e5c6461, 0x7e5b63a4, 0x7e5a6298,
-    0x7e59613f, 0x7e585f97,
-  0x7e575da2, 0x7e565b5f, 0x7e5558ce, 0x7e5455ef, 0x7e5352c1, 0x7e524f46,
-    0x7e514b7e, 0x7e504767,
-  0x7e4f4302, 0x7e4e3e4f, 0x7e4d394f, 0x7e4c3400, 0x7e4b2e64, 0x7e4a287a,
-    0x7e492241, 0x7e481bbb,
-  0x7e4714e7, 0x7e460dc5, 0x7e450656, 0x7e43fe98, 0x7e42f68c, 0x7e41ee33,
-    0x7e40e58c, 0x7e3fdc97,
-  0x7e3ed353, 0x7e3dc9c3, 0x7e3cbfe4, 0x7e3bb5b7, 0x7e3aab3c, 0x7e39a074,
-    0x7e38955e, 0x7e3789fa,
-  0x7e367e48, 0x7e357248, 0x7e3465fa, 0x7e33595e, 0x7e324c75, 0x7e313f3e,
-    0x7e3031b9, 0x7e2f23e6,
-  0x7e2e15c5, 0x7e2d0756, 0x7e2bf89a, 0x7e2ae990, 0x7e29da38, 0x7e28ca92,
-    0x7e27ba9e, 0x7e26aa5d,
-  0x7e2599cd, 0x7e2488f0, 0x7e2377c5, 0x7e22664c, 0x7e215486, 0x7e204271,
-    0x7e1f300f, 0x7e1e1d5f,
-  0x7e1d0a61, 0x7e1bf716, 0x7e1ae37c, 0x7e19cf95, 0x7e18bb60, 0x7e17a6dd,
-    0x7e16920d, 0x7e157cee,
-  0x7e146782, 0x7e1351c9, 0x7e123bc1, 0x7e11256c, 0x7e100ec8, 0x7e0ef7d7,
-    0x7e0de099, 0x7e0cc90c,
-  0x7e0bb132, 0x7e0a990a, 0x7e098095, 0x7e0867d1, 0x7e074ec0, 0x7e063561,
-    0x7e051bb4, 0x7e0401ba,
-  0x7e02e772, 0x7e01ccdc, 0x7e00b1f9, 0x7dff96c7, 0x7dfe7b48, 0x7dfd5f7b,
-    0x7dfc4361, 0x7dfb26f9,
-  0x7dfa0a43, 0x7df8ed3f, 0x7df7cfee, 0x7df6b24f, 0x7df59462, 0x7df47628,
-    0x7df357a0, 0x7df238ca,
-  0x7df119a7, 0x7deffa35, 0x7deeda77, 0x7dedba6a, 0x7dec9a10, 0x7deb7968,
-    0x7dea5872, 0x7de9372f,
-  0x7de8159e, 0x7de6f3c0, 0x7de5d193, 0x7de4af1a, 0x7de38c52, 0x7de2693d,
-    0x7de145da, 0x7de02229,
-  0x7ddefe2b, 0x7dddd9e0, 0x7ddcb546, 0x7ddb905f, 0x7dda6b2a, 0x7dd945a8,
-    0x7dd81fd8, 0x7dd6f9ba,
-  0x7dd5d34f, 0x7dd4ac96, 0x7dd38590, 0x7dd25e3c, 0x7dd1369a, 0x7dd00eab,
-    0x7dcee66e, 0x7dcdbde3,
-  0x7dcc950b, 0x7dcb6be6, 0x7dca4272, 0x7dc918b1, 0x7dc7eea3, 0x7dc6c447,
-    0x7dc5999d, 0x7dc46ea6,
-  0x7dc34361, 0x7dc217cf, 0x7dc0ebef, 0x7dbfbfc1, 0x7dbe9346, 0x7dbd667d,
-    0x7dbc3967, 0x7dbb0c03,
-  0x7db9de52, 0x7db8b053, 0x7db78207, 0x7db6536d, 0x7db52485, 0x7db3f550,
-    0x7db2c5cd, 0x7db195fd,
-  0x7db065df, 0x7daf3574, 0x7dae04bb, 0x7dacd3b5, 0x7daba261, 0x7daa70c0,
-    0x7da93ed1, 0x7da80c95,
-  0x7da6da0b, 0x7da5a733, 0x7da4740e, 0x7da3409c, 0x7da20cdc, 0x7da0d8cf,
-    0x7d9fa474, 0x7d9e6fcb,
-  0x7d9d3ad6, 0x7d9c0592, 0x7d9ad001, 0x7d999a23, 0x7d9863f7, 0x7d972d7e,
-    0x7d95f6b7, 0x7d94bfa3,
-  0x7d938841, 0x7d925092, 0x7d911896, 0x7d8fe04c, 0x7d8ea7b4, 0x7d8d6ecf,
-    0x7d8c359d, 0x7d8afc1d,
-  0x7d89c250, 0x7d888835, 0x7d874dcd, 0x7d861317, 0x7d84d814, 0x7d839cc4,
-    0x7d826126, 0x7d81253a,
-  0x7d7fe902, 0x7d7eac7c, 0x7d7d6fa8, 0x7d7c3287, 0x7d7af519, 0x7d79b75d,
-    0x7d787954, 0x7d773afd,
-  0x7d75fc59, 0x7d74bd68, 0x7d737e29, 0x7d723e9d, 0x7d70fec4, 0x7d6fbe9d,
-    0x7d6e7e29, 0x7d6d3d67,
-  0x7d6bfc58, 0x7d6abafc, 0x7d697952, 0x7d68375b, 0x7d66f517, 0x7d65b285,
-    0x7d646fa6, 0x7d632c79,
-  0x7d61e8ff, 0x7d60a538, 0x7d5f6124, 0x7d5e1cc2, 0x7d5cd813, 0x7d5b9316,
-    0x7d5a4dcc, 0x7d590835,
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-    0x7ca285e2, 0x7ca11755,
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-    0x7c97090e, 0x7c95981a,
-  0x7c9426d8, 0x7c92b54a, 0x7c91436f, 0x7c8fd148, 0x7c8e5ed3, 0x7c8cec12,
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-  0x7c889200, 0x7c871e0c, 0x7c85a9ca, 0x7c84353c, 0x7c82c060, 0x7c814b39,
-    0x7c7fd5c4, 0x7c7e6002,
-  0x7c7ce9f4, 0x7c7b7399, 0x7c79fcf1, 0x7c7885fc, 0x7c770eba, 0x7c75972c,
-    0x7c741f51, 0x7c72a729,
-  0x7c712eb5, 0x7c6fb5f3, 0x7c6e3ce5, 0x7c6cc38a, 0x7c6b49e3, 0x7c69cfee,
-    0x7c6855ad, 0x7c66db1f,
-  0x7c656045, 0x7c63e51e, 0x7c6269aa, 0x7c60ede9, 0x7c5f71db, 0x7c5df581,
-    0x7c5c78da, 0x7c5afbe6,
-  0x7c597ea6, 0x7c580119, 0x7c56833f, 0x7c550519, 0x7c5386a6, 0x7c5207e6,
-    0x7c5088d9, 0x7c4f0980,
-  0x7c4d89da, 0x7c4c09e8, 0x7c4a89a8, 0x7c49091c, 0x7c478844, 0x7c46071f,
-    0x7c4485ad, 0x7c4303ee,
-  0x7c4181e3, 0x7c3fff8b, 0x7c3e7ce7, 0x7c3cf9f5, 0x7c3b76b8, 0x7c39f32d,
-    0x7c386f56, 0x7c36eb33,
-  0x7c3566c2, 0x7c33e205, 0x7c325cfc, 0x7c30d7a6, 0x7c2f5203, 0x7c2dcc14,
-    0x7c2c45d8, 0x7c2abf4f,
-  0x7c29387a, 0x7c27b158, 0x7c2629ea, 0x7c24a22f, 0x7c231a28, 0x7c2191d4,
-    0x7c200933, 0x7c1e8046,
-  0x7c1cf70c, 0x7c1b6d86, 0x7c19e3b3, 0x7c185994, 0x7c16cf28, 0x7c15446f,
-    0x7c13b96a, 0x7c122e19,
-  0x7c10a27b, 0x7c0f1690, 0x7c0d8a59, 0x7c0bfdd5, 0x7c0a7105, 0x7c08e3e8,
-    0x7c07567f, 0x7c05c8c9,
-  0x7c043ac7, 0x7c02ac78, 0x7c011ddd, 0x7bff8ef5, 0x7bfdffc1, 0x7bfc7041,
-    0x7bfae073, 0x7bf9505a,
-  0x7bf7bff4, 0x7bf62f41, 0x7bf49e42, 0x7bf30cf6, 0x7bf17b5e, 0x7befe97a,
-    0x7bee5749, 0x7becc4cc,
-  0x7beb3202, 0x7be99eec, 0x7be80b89, 0x7be677da, 0x7be4e3df, 0x7be34f97,
-    0x7be1bb02, 0x7be02621,
-  0x7bde90f4, 0x7bdcfb7b, 0x7bdb65b5, 0x7bd9cfa2, 0x7bd83944, 0x7bd6a298,
-    0x7bd50ba1, 0x7bd3745d,
-  0x7bd1dccc, 0x7bd044f0, 0x7bceacc7, 0x7bcd1451, 0x7bcb7b8f, 0x7bc9e281,
-    0x7bc84927, 0x7bc6af80,
-  0x7bc5158c, 0x7bc37b4d, 0x7bc1e0c1, 0x7bc045e9, 0x7bbeaac4, 0x7bbd0f53,
-    0x7bbb7396, 0x7bb9d78c,
-  0x7bb83b36, 0x7bb69e94, 0x7bb501a5, 0x7bb3646a, 0x7bb1c6e3, 0x7bb02910,
-    0x7bae8af0, 0x7bacec84,
-  0x7bab4dcc, 0x7ba9aec7, 0x7ba80f76, 0x7ba66fd9, 0x7ba4cfef, 0x7ba32fba,
-    0x7ba18f38, 0x7b9fee69,
-  0x7b9e4d4f, 0x7b9cabe8, 0x7b9b0a35, 0x7b996836, 0x7b97c5ea, 0x7b962352,
-    0x7b94806e, 0x7b92dd3e,
-  0x7b9139c2, 0x7b8f95f9, 0x7b8df1e4, 0x7b8c4d83, 0x7b8aa8d6, 0x7b8903dc,
-    0x7b875e96, 0x7b85b904,
-  0x7b841326, 0x7b826cfc, 0x7b80c686, 0x7b7f1fc3, 0x7b7d78b4, 0x7b7bd159,
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-  0x7b76d97f, 0x7b7530f3, 0x7b73881b, 0x7b71def7, 0x7b703587, 0x7b6e8bcb,
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-  0x7b698ccd, 0x7b67e1e0, 0x7b6636a7, 0x7b648b22, 0x7b62df51, 0x7b613334,
-    0x7b5f86ca, 0x7b5dda15,
-  0x7b5c2d13, 0x7b5a7fc6, 0x7b58d22c, 0x7b572446, 0x7b557614, 0x7b53c796,
-    0x7b5218cc, 0x7b5069b6,
-  0x7b4eba53, 0x7b4d0aa5, 0x7b4b5aab, 0x7b49aa64, 0x7b47f9d2, 0x7b4648f3,
-    0x7b4497c9, 0x7b42e652,
-  0x7b413490, 0x7b3f8281, 0x7b3dd026, 0x7b3c1d80, 0x7b3a6a8d, 0x7b38b74e,
-    0x7b3703c3, 0x7b354fed,
-  0x7b339bca, 0x7b31e75b, 0x7b3032a0, 0x7b2e7d9a, 0x7b2cc847, 0x7b2b12a8,
-    0x7b295cbe, 0x7b27a687,
-  0x7b25f004, 0x7b243936, 0x7b22821b, 0x7b20cab5, 0x7b1f1302, 0x7b1d5b04,
-    0x7b1ba2b9, 0x7b19ea23,
-  0x7b183141, 0x7b167813, 0x7b14be99, 0x7b1304d3, 0x7b114ac1, 0x7b0f9063,
-    0x7b0dd5b9, 0x7b0c1ac4,
-  0x7b0a5f82, 0x7b08a3f5, 0x7b06e81b, 0x7b052bf6, 0x7b036f85, 0x7b01b2c8,
-    0x7afff5bf, 0x7afe386a,
-  0x7afc7aca, 0x7afabcdd, 0x7af8fea5, 0x7af74021, 0x7af58151, 0x7af3c235,
-    0x7af202cd, 0x7af0431a,
-  0x7aee831a, 0x7aecc2cf, 0x7aeb0238, 0x7ae94155, 0x7ae78026, 0x7ae5beac,
-    0x7ae3fce6, 0x7ae23ad4,
-  0x7ae07876, 0x7adeb5cc, 0x7adcf2d6, 0x7adb2f95, 0x7ad96c08, 0x7ad7a82f,
-    0x7ad5e40a, 0x7ad41f9a,
-  0x7ad25ade, 0x7ad095d6, 0x7aced082, 0x7acd0ae3, 0x7acb44f8, 0x7ac97ec1,
-    0x7ac7b83e, 0x7ac5f170,
-  0x7ac42a55, 0x7ac262ef, 0x7ac09b3e, 0x7abed341, 0x7abd0af7, 0x7abb4263,
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-  0x7ab5e6de, 0x7ab41d1b, 0x7ab2530b, 0x7ab088b0, 0x7aaebe0a, 0x7aacf318,
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-  0x7a99272d, 0x7a9758af, 0x7a9589e5, 0x7a93bad0, 0x7a91eb6f, 0x7a901bc2,
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-  0x7a8aaaf7, 0x7a88da1c, 0x7a8708f6, 0x7a853784, 0x7a8365c6, 0x7a8193bd,
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-  0x7a7c1bdc, 0x7a7a48a4, 0x7a787521, 0x7a76a153, 0x7a74cd38, 0x7a72f8d3,
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-  0x7a5ec4fc, 0x7a5ced0d, 0x7a5b14d1, 0x7a593c4b, 0x7a576379, 0x7a558a5b,
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-  0x7a4ffd3d, 0x7a4e22f2, 0x7a4c485b, 0x7a4a6d78, 0x7a48924b, 0x7a46b6d1,
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-  0x7a04fbc1, 0x7a0315af, 0x7a012f52, 0x79ff48aa, 0x79fd61b6, 0x79fb7a77,
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-  0x79f5c2f8, 0x79f3da8c, 0x79f1f1d5, 0x79f008d3, 0x79ee1f86, 0x79ec35ed,
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-    0x79cb85dc, 0x79c996fb,
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-  0x79b823d8, 0x79b63207, 0x79b43fec, 0x79b24d85, 0x79b05ad3, 0x79ae67d6,
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-  0x7998e39f, 0x7996ed1e, 0x7994f651, 0x7992ff3a, 0x799107d8, 0x798f102a,
-    0x798d1832, 0x798b1fef,
-  0x79892761, 0x79872e87, 0x79853563, 0x79833bf4, 0x7981423a, 0x797f4835,
-    0x797d4de5, 0x797b534a,
-  0x79795864, 0x79775d33, 0x797561b8, 0x797365f1, 0x797169df, 0x796f6d83,
-    0x796d70dc, 0x796b73e9,
-  0x796976ac, 0x79677924, 0x79657b51, 0x79637d33, 0x79617eca, 0x795f8017,
-    0x795d8118, 0x795b81cf,
-  0x7959823b, 0x7957825c, 0x79558232, 0x795381bd, 0x795180fe, 0x794f7ff3,
-    0x794d7e9e, 0x794b7cfe,
-  0x79497b13, 0x794778dd, 0x7945765d, 0x79437391, 0x7941707b, 0x793f6d1a,
-    0x793d696f, 0x793b6578,
-  0x79396137, 0x79375cab, 0x793557d4, 0x793352b2, 0x79314d46, 0x792f478f,
-    0x792d418d, 0x792b3b40,
-  0x792934a9, 0x79272dc7, 0x7925269a, 0x79231f22, 0x79211760, 0x791f0f53,
-    0x791d06fb, 0x791afe59,
-  0x7918f56c, 0x7916ec34, 0x7914e2b2, 0x7912d8e4, 0x7910cecc, 0x790ec46a,
-    0x790cb9bd, 0x790aaec5,
-  0x7908a382, 0x790697f5, 0x79048c1d, 0x79027ffa, 0x7900738d, 0x78fe66d5,
-    0x78fc59d3, 0x78fa4c86,
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-    0x78ebe741, 0x78e9d79f,
-  0x78e7c7b2, 0x78e5b77b, 0x78e3a6f9, 0x78e1962d, 0x78df8516, 0x78dd73b5,
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-  0x78d73dd1, 0x78d52b46, 0x78d31870, 0x78d1054f, 0x78cef1e4, 0x78ccde2e,
-    0x78caca2e, 0x78c8b5e3,
-  0x78c6a14e, 0x78c48c6e, 0x78c27744, 0x78c061cf, 0x78be4c10, 0x78bc3606,
-    0x78ba1fb2, 0x78b80913,
-  0x78b5f22a, 0x78b3daf7, 0x78b1c379, 0x78afabb0, 0x78ad939d, 0x78ab7b40,
-    0x78a96298, 0x78a749a6,
-  0x78a53069, 0x78a316e2, 0x78a0fd11, 0x789ee2f5, 0x789cc88f, 0x789aadde,
-    0x789892e3, 0x7896779d,
-  0x78945c0d, 0x78924033, 0x7890240e, 0x788e07a0, 0x788beae6, 0x7889cde2,
-    0x7887b094, 0x788592fc,
-  0x78837519, 0x788156ec, 0x787f3875, 0x787d19b3, 0x787afaa7, 0x7878db50,
-    0x7876bbb0, 0x78749bc5,
-  0x78727b8f, 0x78705b10, 0x786e3a46, 0x786c1932, 0x7869f7d3, 0x7867d62a,
-    0x7865b437, 0x786391fa,
-  0x78616f72, 0x785f4ca1, 0x785d2984, 0x785b061e, 0x7858e26e, 0x7856be73,
-    0x78549a2e, 0x7852759e,
-  0x785050c5, 0x784e2ba1, 0x784c0633, 0x7849e07b, 0x7847ba79, 0x7845942c,
-    0x78436d96, 0x784146b5,
-  0x783f1f8a, 0x783cf815, 0x783ad055, 0x7838a84c, 0x78367ff8, 0x7834575a,
-    0x78322e72, 0x78300540,
-  0x782ddbc4, 0x782bb1fd, 0x782987ed, 0x78275d92, 0x782532ed, 0x782307fe,
-    0x7820dcc5, 0x781eb142,
-  0x781c8575, 0x781a595d, 0x78182cfc, 0x78160051, 0x7813d35b, 0x7811a61b,
-    0x780f7892, 0x780d4abe,
-  0x780b1ca0, 0x7808ee38, 0x7806bf86, 0x7804908a, 0x78026145, 0x780031b5,
-    0x77fe01db, 0x77fbd1b6,
-  0x77f9a148, 0x77f77090, 0x77f53f8e, 0x77f30e42, 0x77f0dcac, 0x77eeaacc,
-    0x77ec78a2, 0x77ea462e,
-  0x77e81370, 0x77e5e068, 0x77e3ad17, 0x77e1797b, 0x77df4595, 0x77dd1165,
-    0x77dadcec, 0x77d8a828,
-  0x77d6731a, 0x77d43dc3, 0x77d20822, 0x77cfd236, 0x77cd9c01, 0x77cb6582,
-    0x77c92eb9, 0x77c6f7a6,
-  0x77c4c04a, 0x77c288a3, 0x77c050b2, 0x77be1878, 0x77bbdff4, 0x77b9a726,
-    0x77b76e0e, 0x77b534ac,
-  0x77b2fb00, 0x77b0c10b, 0x77ae86cc, 0x77ac4c43, 0x77aa1170, 0x77a7d653,
-    0x77a59aec, 0x77a35f3c,
-  0x77a12342, 0x779ee6fe, 0x779caa70, 0x779a6d99, 0x77983077, 0x7795f30c,
-    0x7793b557, 0x77917759,
-  0x778f3910, 0x778cfa7e, 0x778abba2, 0x77887c7d, 0x77863d0d, 0x7783fd54,
-    0x7781bd52, 0x777f7d05,
-  0x777d3c6f, 0x777afb8f, 0x7778ba65, 0x777678f2, 0x77743735, 0x7771f52e,
-    0x776fb2de, 0x776d7044,
-  0x776b2d60, 0x7768ea33, 0x7766a6bc, 0x776462fb, 0x77621ef1, 0x775fda9d,
-    0x775d95ff, 0x775b5118,
-  0x77590be7, 0x7756c66c, 0x775480a8, 0x77523a9b, 0x774ff443, 0x774dada2,
-    0x774b66b8, 0x77491f84,
-  0x7746d806, 0x7744903f, 0x7742482e, 0x773fffd4, 0x773db730, 0x773b6e42,
-    0x7739250b, 0x7736db8b,
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-    0x7726d0fc, 0x7724852f,
-  0x77223919, 0x771fecb9, 0x771da010, 0x771b531d, 0x771905e1, 0x7716b85b,
-    0x77146a8c, 0x77121c74,
-  0x770fce12, 0x770d7f66, 0x770b3072, 0x7708e133, 0x770691ab, 0x770441da,
-    0x7701f1c0, 0x76ffa15c,
-  0x76fd50ae, 0x76faffb8, 0x76f8ae78, 0x76f65cee, 0x76f40b1b, 0x76f1b8ff,
-    0x76ef6699, 0x76ed13ea,
-  0x76eac0f2, 0x76e86db0, 0x76e61a25, 0x76e3c650, 0x76e17233, 0x76df1dcb,
-    0x76dcc91b, 0x76da7421,
-  0x76d81ede, 0x76d5c952, 0x76d3737c, 0x76d11d5d, 0x76cec6f5, 0x76cc7043,
-    0x76ca1948, 0x76c7c204,
-  0x76c56a77, 0x76c312a0, 0x76c0ba80, 0x76be6217, 0x76bc0965, 0x76b9b069,
-    0x76b75724, 0x76b4fd96,
-  0x76b2a3bf, 0x76b0499e, 0x76adef34, 0x76ab9481, 0x76a93985, 0x76a6de40,
-    0x76a482b1, 0x76a226da,
-  0x769fcab9, 0x769d6e4f, 0x769b119b, 0x7698b49f, 0x76965759, 0x7693f9ca,
-    0x76919bf3, 0x768f3dd2,
-  0x768cdf67, 0x768a80b4, 0x768821b8, 0x7685c272, 0x768362e4, 0x7681030c,
-    0x767ea2eb, 0x767c4281,
-  0x7679e1ce, 0x767780d2, 0x76751f8d, 0x7672bdfe, 0x76705c27, 0x766dfa07,
-    0x766b979d, 0x766934eb,
-  0x7666d1ef, 0x76646eab, 0x76620b1d, 0x765fa747, 0x765d4327, 0x765adebe,
-    0x76587a0d, 0x76561512,
-  0x7653afce, 0x76514a42, 0x764ee46c, 0x764c7e4d, 0x764a17e6, 0x7647b135,
-    0x76454a3c, 0x7642e2f9,
-  0x76407b6e, 0x763e139a, 0x763bab7c, 0x76394316, 0x7636da67, 0x7634716f,
-    0x7632082e, 0x762f9ea4,
-  0x762d34d1, 0x762acab6, 0x76286051, 0x7625f5a3, 0x76238aad, 0x76211f6e,
-    0x761eb3e6, 0x761c4815,
-  0x7619dbfb, 0x76176f98, 0x761502ed, 0x761295f9, 0x761028bb, 0x760dbb35,
-    0x760b4d67, 0x7608df4f,
-  0x760670ee, 0x76040245, 0x76019353, 0x75ff2418, 0x75fcb495, 0x75fa44c8,
-    0x75f7d4b3, 0x75f56455,
-  0x75f2f3ae, 0x75f082bf, 0x75ee1187, 0x75eba006, 0x75e92e3c, 0x75e6bc2a,
-    0x75e449ce, 0x75e1d72b,
-  0x75df643e, 0x75dcf109, 0x75da7d8b, 0x75d809c4, 0x75d595b4, 0x75d3215c,
-    0x75d0acbc, 0x75ce37d2,
-  0x75cbc2a0, 0x75c94d25, 0x75c6d762, 0x75c46156, 0x75c1eb01, 0x75bf7464,
-    0x75bcfd7e, 0x75ba864f,
-  0x75b80ed8, 0x75b59718, 0x75b31f0f, 0x75b0a6be, 0x75ae2e25, 0x75abb542,
-    0x75a93c18, 0x75a6c2a4,
-  0x75a448e8, 0x75a1cee4, 0x759f5496, 0x759cda01, 0x759a5f22, 0x7597e3fc,
-    0x7595688c, 0x7592ecd4,
-  0x759070d4, 0x758df48b, 0x758b77fa, 0x7588fb20, 0x75867dfd, 0x75840093,
-    0x758182df, 0x757f04e3,
-  0x757c869f, 0x757a0812, 0x7577893d, 0x75750a1f, 0x75728ab9, 0x75700b0a,
-    0x756d8b13, 0x756b0ad3,
-  0x75688a4b, 0x7566097b, 0x75638862, 0x75610701, 0x755e8557, 0x755c0365,
-    0x7559812b, 0x7556fea8,
-  0x75547bdd, 0x7551f8c9, 0x754f756e, 0x754cf1c9, 0x754a6ddd, 0x7547e9a8,
-    0x7545652a, 0x7542e065,
-  0x75405b57, 0x753dd600, 0x753b5061, 0x7538ca7b, 0x7536444b, 0x7533bdd4,
-    0x75313714, 0x752eb00c,
-  0x752c28bb, 0x7529a122, 0x75271941, 0x75249118, 0x752208a7, 0x751f7fed,
-    0x751cf6eb, 0x751a6da0,
-  0x7517e40e, 0x75155a33, 0x7512d010, 0x751045a5, 0x750dbaf2, 0x750b2ff6,
-    0x7508a4b2, 0x75061926,
-  0x75038d52, 0x75010136, 0x74fe74d1, 0x74fbe825, 0x74f95b30, 0x74f6cdf3,
-    0x74f4406d, 0x74f1b2a0,
-  0x74ef248b, 0x74ec962d, 0x74ea0787, 0x74e7789a, 0x74e4e964, 0x74e259e6,
-    0x74dfca20, 0x74dd3a11,
-  0x74daa9bb, 0x74d8191d, 0x74d58836, 0x74d2f708, 0x74d06591, 0x74cdd3d2,
-    0x74cb41cc, 0x74c8af7d,
-  0x74c61ce6, 0x74c38a07, 0x74c0f6e0, 0x74be6372, 0x74bbcfbb, 0x74b93bbc,
-    0x74b6a775, 0x74b412e6,
-  0x74b17e0f, 0x74aee8f0, 0x74ac5389, 0x74a9bddb, 0x74a727e4, 0x74a491a5,
-    0x74a1fb1e, 0x749f6450,
-  0x749ccd39, 0x749a35db, 0x74979e34, 0x74950646, 0x74926e10, 0x748fd592,
-    0x748d3ccb, 0x748aa3be,
-  0x74880a68, 0x748570ca, 0x7482d6e4, 0x74803cb7, 0x747da242, 0x747b0784,
-    0x74786c7f, 0x7475d132,
-  0x7473359e, 0x747099c1, 0x746dfd9d, 0x746b6131, 0x7468c47c, 0x74662781,
-    0x74638a3d, 0x7460ecb2,
-  0x745e4ede, 0x745bb0c3, 0x74591261, 0x745673b6, 0x7453d4c4, 0x7451358a,
-    0x744e9608, 0x744bf63e,
-  0x7449562d, 0x7446b5d4, 0x74441533, 0x7441744b, 0x743ed31b, 0x743c31a3,
-    0x74398fe3, 0x7436eddc,
-  0x74344b8d, 0x7431a8f6, 0x742f0618, 0x742c62f2, 0x7429bf84, 0x74271bcf,
-    0x742477d2, 0x7421d38e,
-  0x741f2f01, 0x741c8a2d, 0x7419e512, 0x74173faf, 0x74149a04, 0x7411f412,
-    0x740f4dd8, 0x740ca756,
-  0x740a008d, 0x7407597d, 0x7404b224, 0x74020a85, 0x73ff629d, 0x73fcba6e,
-    0x73fa11f8, 0x73f7693a,
-  0x73f4c034, 0x73f216e7, 0x73ef6d53, 0x73ecc377, 0x73ea1953, 0x73e76ee8,
-    0x73e4c435, 0x73e2193b,
-  0x73df6df9, 0x73dcc270, 0x73da16a0, 0x73d76a88, 0x73d4be28, 0x73d21182,
-    0x73cf6493, 0x73ccb75d,
-  0x73ca09e0, 0x73c75c1c, 0x73c4ae10, 0x73c1ffbc, 0x73bf5121, 0x73bca23f,
-    0x73b9f315, 0x73b743a4,
-  0x73b493ec, 0x73b1e3ec, 0x73af33a5, 0x73ac8316, 0x73a9d240, 0x73a72123,
-    0x73a46fbf, 0x73a1be13,
-  0x739f0c20, 0x739c59e5, 0x7399a763, 0x7396f49a, 0x73944189, 0x73918e32,
-    0x738eda93, 0x738c26ac,
-  0x7389727f, 0x7386be0a, 0x7384094e, 0x7381544a, 0x737e9f00, 0x737be96e,
-    0x73793395, 0x73767d74,
-  0x7373c70d, 0x7371105e, 0x736e5968, 0x736ba22b, 0x7368eaa6, 0x736632db,
-    0x73637ac8, 0x7360c26e,
-  0x735e09cd, 0x735b50e4, 0x735897b5, 0x7355de3e, 0x73532481, 0x73506a7c,
-    0x734db030, 0x734af59d,
-  0x73483ac2, 0x73457fa1, 0x7342c438, 0x73400889, 0x733d4c92, 0x733a9054,
-    0x7337d3d0, 0x73351704,
-  0x733259f1, 0x732f9c97, 0x732cdef6, 0x732a210d, 0x732762de, 0x7324a468,
-    0x7321e5ab, 0x731f26a7,
-  0x731c675b, 0x7319a7c9, 0x7316e7f0, 0x731427cf, 0x73116768, 0x730ea6ba,
-    0x730be5c5, 0x73092489,
-  0x73066306, 0x7303a13b, 0x7300df2a, 0x72fe1cd2, 0x72fb5a34, 0x72f8974e,
-    0x72f5d421, 0x72f310ad,
-  0x72f04cf3, 0x72ed88f1, 0x72eac4a9, 0x72e8001a, 0x72e53b44, 0x72e27627,
-    0x72dfb0c3, 0x72dceb18,
-  0x72da2526, 0x72d75eee, 0x72d4986f, 0x72d1d1a9, 0x72cf0a9c, 0x72cc4348,
-    0x72c97bad, 0x72c6b3cc,
-  0x72c3eba4, 0x72c12335, 0x72be5a7f, 0x72bb9183, 0x72b8c83f, 0x72b5feb5,
-    0x72b334e4, 0x72b06acd,
-  0x72ada06f, 0x72aad5c9, 0x72a80ade, 0x72a53fab, 0x72a27432, 0x729fa872,
-    0x729cdc6b, 0x729a101e,
-  0x7297438a, 0x729476af, 0x7291a98e, 0x728edc26, 0x728c0e77, 0x72894082,
-    0x72867245, 0x7283a3c3,
-  0x7280d4f9, 0x727e05e9, 0x727b3693, 0x727866f6, 0x72759712, 0x7272c6e7,
-    0x726ff676, 0x726d25bf,
-  0x726a54c1, 0x7267837c, 0x7264b1f0, 0x7261e01e, 0x725f0e06, 0x725c3ba7,
-    0x72596901, 0x72569615,
-  0x7253c2e3, 0x7250ef6a, 0x724e1baa, 0x724b47a4, 0x72487357, 0x72459ec4,
-    0x7242c9ea, 0x723ff4ca,
-  0x723d1f63, 0x723a49b6, 0x723773c3, 0x72349d89, 0x7231c708, 0x722ef041,
-    0x722c1934, 0x722941e0,
-  0x72266a46, 0x72239266, 0x7220ba3f, 0x721de1d1, 0x721b091d, 0x72183023,
-    0x721556e3, 0x72127d5c,
-  0x720fa38e, 0x720cc97b, 0x7209ef21, 0x72071480, 0x7204399a, 0x72015e6d,
-    0x71fe82f9, 0x71fba740,
-  0x71f8cb40, 0x71f5eefa, 0x71f3126d, 0x71f0359a, 0x71ed5881, 0x71ea7b22,
-    0x71e79d7c, 0x71e4bf90,
-  0x71e1e15e, 0x71df02e5, 0x71dc2427, 0x71d94522, 0x71d665d6, 0x71d38645,
-    0x71d0a66d, 0x71cdc650,
-  0x71cae5ec, 0x71c80542, 0x71c52451, 0x71c2431b, 0x71bf619e, 0x71bc7fdb,
-    0x71b99dd2, 0x71b6bb83,
-  0x71b3d8ed, 0x71b0f612, 0x71ae12f0, 0x71ab2f89, 0x71a84bdb, 0x71a567e7,
-    0x71a283ad, 0x719f9f2c,
-  0x719cba66, 0x7199d55a, 0x7196f008, 0x71940a6f, 0x71912490, 0x718e3e6c,
-    0x718b5801, 0x71887151,
-  0x71858a5a, 0x7182a31d, 0x717fbb9a, 0x717cd3d2, 0x7179ebc3, 0x7177036e,
-    0x71741ad3, 0x717131f3,
-  0x716e48cc, 0x716b5f5f, 0x716875ad, 0x71658bb4, 0x7162a175, 0x715fb6f1,
-    0x715ccc26, 0x7159e116,
-  0x7156f5c0, 0x71540a24, 0x71511e42, 0x714e321a, 0x714b45ac, 0x714858f8,
-    0x71456bfe, 0x71427ebf,
-  0x713f9139, 0x713ca36e, 0x7139b55d, 0x7136c706, 0x7133d869, 0x7130e987,
-    0x712dfa5e, 0x712b0af0,
-  0x71281b3c, 0x71252b42, 0x71223b02, 0x711f4a7d, 0x711c59b2, 0x711968a1,
-    0x7116774a, 0x711385ad,
-  0x711093cb, 0x710da1a3, 0x710aaf35, 0x7107bc82, 0x7104c989, 0x7101d64a,
-    0x70fee2c5, 0x70fbeefb,
-  0x70f8faeb, 0x70f60695, 0x70f311fa, 0x70f01d19, 0x70ed27f2, 0x70ea3286,
-    0x70e73cd4, 0x70e446dc,
-  0x70e1509f, 0x70de5a1c, 0x70db6353, 0x70d86c45, 0x70d574f1, 0x70d27d58,
-    0x70cf8579, 0x70cc8d54,
-  0x70c994ea, 0x70c69c3a, 0x70c3a345, 0x70c0aa0a, 0x70bdb08a, 0x70bab6c4,
-    0x70b7bcb8, 0x70b4c267,
-  0x70b1c7d1, 0x70aeccf5, 0x70abd1d3, 0x70a8d66c, 0x70a5dac0, 0x70a2dece,
-    0x709fe296, 0x709ce619,
-  0x7099e957, 0x7096ec4f, 0x7093ef01, 0x7090f16e, 0x708df396, 0x708af579,
-    0x7087f715, 0x7084f86d,
-  0x7081f97f, 0x707efa4c, 0x707bfad3, 0x7078fb15, 0x7075fb11, 0x7072fac9,
-    0x706ffa3a, 0x706cf967,
-  0x7069f84e, 0x7066f6f0, 0x7063f54c, 0x7060f363, 0x705df135, 0x705aeec1,
-    0x7057ec08, 0x7054e90a,
-  0x7051e5c7, 0x704ee23e, 0x704bde70, 0x7048da5d, 0x7045d604, 0x7042d166,
-    0x703fcc83, 0x703cc75b,
-  0x7039c1ed, 0x7036bc3b, 0x7033b643, 0x7030b005, 0x702da983, 0x702aa2bb,
-    0x70279baf, 0x7024945d,
-  0x70218cc6, 0x701e84e9, 0x701b7cc8, 0x70187461, 0x70156bb5, 0x701262c4,
-    0x700f598e, 0x700c5013,
-  0x70094653, 0x70063c4e, 0x70033203, 0x70002774, 0x6ffd1c9f, 0x6ffa1185,
-    0x6ff70626, 0x6ff3fa82,
-  0x6ff0ee99, 0x6fede26b, 0x6fead5f8, 0x6fe7c940, 0x6fe4bc43, 0x6fe1af01,
-    0x6fdea17a, 0x6fdb93ae,
-  0x6fd8859d, 0x6fd57746, 0x6fd268ab, 0x6fcf59cb, 0x6fcc4aa6, 0x6fc93b3c,
-    0x6fc62b8d, 0x6fc31b99,
-  0x6fc00b60, 0x6fbcfae2, 0x6fb9ea20, 0x6fb6d918, 0x6fb3c7cb, 0x6fb0b63a,
-    0x6fada464, 0x6faa9248,
-  0x6fa77fe8, 0x6fa46d43, 0x6fa15a59, 0x6f9e472b, 0x6f9b33b7, 0x6f981fff,
-    0x6f950c01, 0x6f91f7bf,
-  0x6f8ee338, 0x6f8bce6c, 0x6f88b95c, 0x6f85a407, 0x6f828e6c, 0x6f7f788d,
-    0x6f7c626a, 0x6f794c01,
-  0x6f763554, 0x6f731e62, 0x6f70072b, 0x6f6cefb0, 0x6f69d7f0, 0x6f66bfeb,
-    0x6f63a7a1, 0x6f608f13,
-  0x6f5d7640, 0x6f5a5d28, 0x6f5743cb, 0x6f542a2a, 0x6f511044, 0x6f4df61a,
-    0x6f4adbab, 0x6f47c0f7,
-  0x6f44a5ff, 0x6f418ac2, 0x6f3e6f40, 0x6f3b537a, 0x6f38376f, 0x6f351b1f,
-    0x6f31fe8b, 0x6f2ee1b2,
-  0x6f2bc495, 0x6f28a733, 0x6f25898d, 0x6f226ba2, 0x6f1f4d72, 0x6f1c2efe,
-    0x6f191045, 0x6f15f148,
-  0x6f12d206, 0x6f0fb280, 0x6f0c92b6, 0x6f0972a6, 0x6f065253, 0x6f0331ba,
-    0x6f0010de, 0x6efcefbd,
-  0x6ef9ce57, 0x6ef6acad, 0x6ef38abe, 0x6ef0688b, 0x6eed4614, 0x6eea2358,
-    0x6ee70058, 0x6ee3dd13,
-  0x6ee0b98a, 0x6edd95bd, 0x6eda71ab, 0x6ed74d55, 0x6ed428ba, 0x6ed103db,
-    0x6ecddeb8, 0x6ecab950,
-  0x6ec793a4, 0x6ec46db4, 0x6ec1477f, 0x6ebe2106, 0x6ebafa49, 0x6eb7d347,
-    0x6eb4ac02, 0x6eb18477,
-  0x6eae5ca9, 0x6eab3496, 0x6ea80c3f, 0x6ea4e3a4, 0x6ea1bac4, 0x6e9e91a1,
-    0x6e9b6839, 0x6e983e8d,
-  0x6e95149c, 0x6e91ea67, 0x6e8ebfef, 0x6e8b9532, 0x6e886a30, 0x6e853eeb,
-    0x6e821361, 0x6e7ee794,
-  0x6e7bbb82, 0x6e788f2c, 0x6e756291, 0x6e7235b3, 0x6e6f0890, 0x6e6bdb2a,
-    0x6e68ad7f, 0x6e657f90,
-  0x6e62515d, 0x6e5f22e6, 0x6e5bf42b, 0x6e58c52c, 0x6e5595e9, 0x6e526662,
-    0x6e4f3696, 0x6e4c0687,
-  0x6e48d633, 0x6e45a59c, 0x6e4274c1, 0x6e3f43a1, 0x6e3c123e, 0x6e38e096,
-    0x6e35aeab, 0x6e327c7b,
-  0x6e2f4a08, 0x6e2c1750, 0x6e28e455, 0x6e25b115, 0x6e227d92, 0x6e1f49cb,
-    0x6e1c15c0, 0x6e18e171,
-  0x6e15acde, 0x6e127807, 0x6e0f42ec, 0x6e0c0d8e, 0x6e08d7eb, 0x6e05a205,
-    0x6e026bda, 0x6dff356c,
-  0x6dfbfeba, 0x6df8c7c4, 0x6df5908b, 0x6df2590d, 0x6def214c, 0x6debe947,
-    0x6de8b0fe, 0x6de57871,
-  0x6de23fa0, 0x6ddf068c, 0x6ddbcd34, 0x6dd89398, 0x6dd559b9, 0x6dd21f95,
-    0x6dcee52e, 0x6dcbaa83,
-  0x6dc86f95, 0x6dc53462, 0x6dc1f8ec, 0x6dbebd33, 0x6dbb8135, 0x6db844f4,
-    0x6db5086f, 0x6db1cba7,
-  0x6dae8e9b, 0x6dab514b, 0x6da813b8, 0x6da4d5e1, 0x6da197c6, 0x6d9e5968,
-    0x6d9b1ac6, 0x6d97dbe0,
-  0x6d949cb7, 0x6d915d4a, 0x6d8e1d9a, 0x6d8adda6, 0x6d879d6e, 0x6d845cf3,
-    0x6d811c35, 0x6d7ddb33,
-  0x6d7a99ed, 0x6d775864, 0x6d741697, 0x6d70d487, 0x6d6d9233, 0x6d6a4f9c,
-    0x6d670cc1, 0x6d63c9a3,
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-    0x6d4cec6e, 0x6d49a734,
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-    0x5fe9f188, 0x5fe5c845,
-  0x5fe19ec7, 0x5fdd750e, 0x5fd94b19, 0x5fd520ea, 0x5fd0f67f, 0x5fcccbd9,
-    0x5fc8a0f8, 0x5fc475dc,
-  0x5fc04a85, 0x5fbc1ef3, 0x5fb7f326, 0x5fb3c71e, 0x5faf9adb, 0x5fab6e5d,
-    0x5fa741a3, 0x5fa314af,
-  0x5f9ee780, 0x5f9aba16, 0x5f968c70, 0x5f925e90, 0x5f8e3075, 0x5f8a021f,
-    0x5f85d38e, 0x5f81a4c2,
-  0x5f7d75bb, 0x5f794679, 0x5f7516fd, 0x5f70e745, 0x5f6cb753, 0x5f688726,
-    0x5f6456be, 0x5f60261b,
-  0x5f5bf53d, 0x5f57c424, 0x5f5392d1, 0x5f4f6143, 0x5f4b2f7a, 0x5f46fd76,
-    0x5f42cb37, 0x5f3e98be,
-  0x5f3a660a, 0x5f36331b, 0x5f31fff1, 0x5f2dcc8d, 0x5f2998ee, 0x5f256515,
-    0x5f213100, 0x5f1cfcb1,
-  0x5f18c827, 0x5f149363, 0x5f105e64, 0x5f0c292a, 0x5f07f3b6, 0x5f03be07,
-    0x5eff881d, 0x5efb51f9,
-  0x5ef71b9b, 0x5ef2e501, 0x5eeeae2d, 0x5eea771f, 0x5ee63fd6, 0x5ee20853,
-    0x5eddd094, 0x5ed9989c,
-  0x5ed56069, 0x5ed127fb, 0x5eccef53, 0x5ec8b671, 0x5ec47d54, 0x5ec043fc,
-    0x5ebc0a6a, 0x5eb7d09e,
-  0x5eb39697, 0x5eaf5c56, 0x5eab21da, 0x5ea6e724, 0x5ea2ac34, 0x5e9e7109,
-    0x5e9a35a4, 0x5e95fa05,
-  0x5e91be2b, 0x5e8d8217, 0x5e8945c8, 0x5e85093f, 0x5e80cc7c, 0x5e7c8f7f,
-    0x5e785247, 0x5e7414d5,
-  0x5e6fd729, 0x5e6b9943, 0x5e675b22, 0x5e631cc7, 0x5e5ede32, 0x5e5a9f62,
-    0x5e566059, 0x5e522115,
-  0x5e4de197, 0x5e49a1df, 0x5e4561ed, 0x5e4121c0, 0x5e3ce15a, 0x5e38a0b9,
-    0x5e345fde, 0x5e301ec9,
-  0x5e2bdd7a, 0x5e279bf1, 0x5e235a2e, 0x5e1f1830, 0x5e1ad5f9, 0x5e169388,
-    0x5e1250dc, 0x5e0e0df7,
-  0x5e09cad7, 0x5e05877e, 0x5e0143ea, 0x5dfd001d, 0x5df8bc15, 0x5df477d4,
-    0x5df03359, 0x5debeea3,
-  0x5de7a9b4, 0x5de3648b, 0x5ddf1f28, 0x5ddad98b, 0x5dd693b4, 0x5dd24da3,
-    0x5dce0759, 0x5dc9c0d4,
-  0x5dc57a16, 0x5dc1331d, 0x5dbcebeb, 0x5db8a480, 0x5db45cda, 0x5db014fa,
-    0x5dabcce1, 0x5da7848e,
-  0x5da33c01, 0x5d9ef33b, 0x5d9aaa3a, 0x5d966100, 0x5d92178d, 0x5d8dcddf,
-    0x5d8983f8, 0x5d8539d7,
-  0x5d80ef7c, 0x5d7ca4e8, 0x5d785a1a, 0x5d740f12, 0x5d6fc3d1, 0x5d6b7856,
-    0x5d672ca2, 0x5d62e0b4,
-  0x5d5e948c, 0x5d5a482a, 0x5d55fb90, 0x5d51aebb, 0x5d4d61ad, 0x5d491465,
-    0x5d44c6e4, 0x5d40792a,
-  0x5d3c2b35, 0x5d37dd08, 0x5d338ea0, 0x5d2f4000, 0x5d2af125, 0x5d26a212,
-    0x5d2252c5, 0x5d1e033e,
-  0x5d19b37e, 0x5d156385, 0x5d111352, 0x5d0cc2e5, 0x5d087240, 0x5d042161,
-    0x5cffd048, 0x5cfb7ef7,
-  0x5cf72d6b, 0x5cf2dba7, 0x5cee89a9, 0x5cea3772, 0x5ce5e501, 0x5ce19258,
-    0x5cdd3f75, 0x5cd8ec58,
-  0x5cd49903, 0x5cd04574, 0x5ccbf1ab, 0x5cc79daa, 0x5cc3496f, 0x5cbef4fc,
-    0x5cbaa04f, 0x5cb64b68,
-  0x5cb1f649, 0x5cada0f0, 0x5ca94b5e, 0x5ca4f594, 0x5ca09f8f, 0x5c9c4952,
-    0x5c97f2dc, 0x5c939c2c,
-  0x5c8f4544, 0x5c8aee22, 0x5c8696c7, 0x5c823f34, 0x5c7de767, 0x5c798f61,
-    0x5c753722, 0x5c70deaa,
-  0x5c6c85f9, 0x5c682d0f, 0x5c63d3eb, 0x5c5f7a8f, 0x5c5b20fa, 0x5c56c72c,
-    0x5c526d25, 0x5c4e12e5,
-  0x5c49b86d, 0x5c455dbb, 0x5c4102d0, 0x5c3ca7ad, 0x5c384c50, 0x5c33f0bb,
-    0x5c2f94ec, 0x5c2b38e5,
-  0x5c26dca5, 0x5c22802c, 0x5c1e237b, 0x5c19c690, 0x5c15696d, 0x5c110c11,
-    0x5c0cae7c, 0x5c0850ae,
-  0x5c03f2a8, 0x5bff9469, 0x5bfb35f1, 0x5bf6d740, 0x5bf27857, 0x5bee1935,
-    0x5be9b9da, 0x5be55a46,
-  0x5be0fa7a, 0x5bdc9a75, 0x5bd83a37, 0x5bd3d9c1, 0x5bcf7912, 0x5bcb182b,
-    0x5bc6b70b, 0x5bc255b2,
-  0x5bbdf421, 0x5bb99257, 0x5bb53054, 0x5bb0ce19, 0x5bac6ba6, 0x5ba808f9,
-    0x5ba3a615, 0x5b9f42f7,
-  0x5b9adfa2, 0x5b967c13, 0x5b92184d, 0x5b8db44d, 0x5b895016, 0x5b84eba6,
-    0x5b8086fd, 0x5b7c221c,
-  0x5b77bd02, 0x5b7357b0, 0x5b6ef226, 0x5b6a8c63, 0x5b662668, 0x5b61c035,
-    0x5b5d59c9, 0x5b58f324,
-  0x5b548c48, 0x5b502533, 0x5b4bbde6, 0x5b475660, 0x5b42eea2, 0x5b3e86ac,
-    0x5b3a1e7e, 0x5b35b617,
-  0x5b314d78, 0x5b2ce4a1, 0x5b287b91, 0x5b241249, 0x5b1fa8c9, 0x5b1b3f11,
-    0x5b16d521, 0x5b126af8,
-  0x5b0e0098, 0x5b0995ff, 0x5b052b2e, 0x5b00c025, 0x5afc54e3, 0x5af7e96a,
-    0x5af37db8, 0x5aef11cf,
-  0x5aeaa5ad, 0x5ae63953, 0x5ae1ccc1, 0x5add5ff7, 0x5ad8f2f5, 0x5ad485bb,
-    0x5ad01849, 0x5acbaa9f,
-  0x5ac73cbd, 0x5ac2cea3, 0x5abe6050, 0x5ab9f1c6, 0x5ab58304, 0x5ab1140a,
-    0x5aaca4d8, 0x5aa8356f,
-  0x5aa3c5cd, 0x5a9f55f3, 0x5a9ae5e2, 0x5a967598, 0x5a920517, 0x5a8d945d,
-    0x5a89236c, 0x5a84b243,
-  0x5a8040e3, 0x5a7bcf4a, 0x5a775d7a, 0x5a72eb71, 0x5a6e7931, 0x5a6a06ba,
-    0x5a65940a, 0x5a612123,
-  0x5a5cae04, 0x5a583aad, 0x5a53c71e, 0x5a4f5358, 0x5a4adf5a, 0x5a466b24,
-    0x5a41f6b7, 0x5a3d8212,
-  0x5a390d35, 0x5a349821, 0x5a3022d5, 0x5a2bad51, 0x5a273796, 0x5a22c1a3,
-    0x5a1e4b79, 0x5a19d517,
-  0x5a155e7d, 0x5a10e7ac, 0x5a0c70a3, 0x5a07f963, 0x5a0381eb, 0x59ff0a3c,
-    0x59fa9255, 0x59f61a36,
-  0x59f1a1e0, 0x59ed2953, 0x59e8b08e, 0x59e43792, 0x59dfbe5e, 0x59db44f3,
-    0x59d6cb50, 0x59d25176,
-  0x59cdd765, 0x59c95d1c, 0x59c4e29c, 0x59c067e4, 0x59bbecf5, 0x59b771cf,
-    0x59b2f671, 0x59ae7add,
-  0x59a9ff10, 0x59a5830d, 0x59a106d2, 0x599c8a60, 0x59980db6, 0x599390d5,
-    0x598f13bd, 0x598a966e,
-  0x598618e8, 0x59819b2a, 0x597d1d35, 0x59789f09, 0x597420a6, 0x596fa20b,
-    0x596b233a, 0x5966a431,
-  0x596224f1, 0x595da57a, 0x595925cc, 0x5954a5e6, 0x595025ca, 0x594ba576,
-    0x594724ec, 0x5942a42a,
-  0x593e2331, 0x5939a202, 0x5935209b, 0x59309efd, 0x592c1d28, 0x59279b1c,
-    0x592318d9, 0x591e9660,
-  0x591a13af, 0x591590c7, 0x59110da8, 0x590c8a53, 0x590806c6, 0x59038302,
-    0x58feff08, 0x58fa7ad7,
-  0x58f5f66e, 0x58f171cf, 0x58ececf9, 0x58e867ed, 0x58e3e2a9, 0x58df5d2e,
-    0x58dad77d, 0x58d65195,
-  0x58d1cb76, 0x58cd4520, 0x58c8be94, 0x58c437d1, 0x58bfb0d7, 0x58bb29a6,
-    0x58b6a23e, 0x58b21aa0,
-  0x58ad92cb, 0x58a90ac0, 0x58a4827d, 0x589ffa04, 0x589b7155, 0x5896e86f,
-    0x58925f52, 0x588dd5fe,
-  0x58894c74, 0x5884c2b3, 0x588038bb, 0x587bae8d, 0x58772429, 0x5872998e,
-    0x586e0ebc, 0x586983b4,
-  0x5864f875, 0x58606d00, 0x585be154, 0x58575571, 0x5852c958, 0x584e3d09,
-    0x5849b083, 0x584523c7,
-  0x584096d4, 0x583c09ab, 0x58377c4c, 0x5832eeb6, 0x582e60e9, 0x5829d2e6,
-    0x582544ad, 0x5820b63e,
-  0x581c2798, 0x581798bb, 0x581309a9, 0x580e7a60, 0x5809eae1, 0x58055b2b,
-    0x5800cb3f, 0x57fc3b1d,
-  0x57f7aac5, 0x57f31a36, 0x57ee8971, 0x57e9f876, 0x57e56744, 0x57e0d5dd,
-    0x57dc443f, 0x57d7b26b,
-  0x57d32061, 0x57ce8e20, 0x57c9fbaa, 0x57c568fd, 0x57c0d61a, 0x57bc4301,
-    0x57b7afb2, 0x57b31c2d,
-  0x57ae8872, 0x57a9f480, 0x57a56059, 0x57a0cbfb, 0x579c3768, 0x5797a29e,
-    0x57930d9e, 0x578e7869,
-  0x5789e2fd, 0x57854d5b, 0x5780b784, 0x577c2176, 0x57778b32, 0x5772f4b9,
-    0x576e5e09, 0x5769c724,
-  0x57653009, 0x576098b7, 0x575c0130, 0x57576973, 0x5752d180, 0x574e3957,
-    0x5749a0f9, 0x57450864,
-  0x57406f9a, 0x573bd69a, 0x57373d64, 0x5732a3f8, 0x572e0a56, 0x5729707f,
-    0x5724d672, 0x57203c2f,
-  0x571ba1b7, 0x57170708, 0x57126c24, 0x570dd10a, 0x570935bb, 0x57049a36,
-    0x56fffe7b, 0x56fb628b,
-  0x56f6c664, 0x56f22a09, 0x56ed8d77, 0x56e8f0b0, 0x56e453b4, 0x56dfb681,
-    0x56db1919, 0x56d67b7c,
-  0x56d1dda9, 0x56cd3fa1, 0x56c8a162, 0x56c402ef, 0x56bf6446, 0x56bac567,
-    0x56b62653, 0x56b18709,
-  0x56ace78a, 0x56a847d6, 0x56a3a7ec, 0x569f07cc, 0x569a6777, 0x5695c6ed,
-    0x5691262d, 0x568c8538,
-  0x5687e40e, 0x568342ae, 0x567ea118, 0x5679ff4e, 0x56755d4e, 0x5670bb19,
-    0x566c18ae, 0x5667760e,
-  0x5662d339, 0x565e302e, 0x56598cee, 0x5654e979, 0x565045cf, 0x564ba1f0,
-    0x5646fddb, 0x56425991,
-  0x563db512, 0x5639105d, 0x56346b74, 0x562fc655, 0x562b2101, 0x56267b78,
-    0x5621d5ba, 0x561d2fc6,
-  0x5618899e, 0x5613e340, 0x560f3cae, 0x560a95e6, 0x5605eee9, 0x560147b7,
-    0x55fca050, 0x55f7f8b4,
-  0x55f350e3, 0x55eea8dd, 0x55ea00a2, 0x55e55832, 0x55e0af8d, 0x55dc06b3,
-    0x55d75da4, 0x55d2b460,
-  0x55ce0ae7, 0x55c96139, 0x55c4b757, 0x55c00d3f, 0x55bb62f3, 0x55b6b871,
-    0x55b20dbb, 0x55ad62d0,
-  0x55a8b7b0, 0x55a40c5b, 0x559f60d1, 0x559ab513, 0x55960920, 0x55915cf8,
-    0x558cb09b, 0x55880409,
-  0x55835743, 0x557eaa48, 0x5579fd18, 0x55754fb3, 0x5570a21a, 0x556bf44c,
-    0x55674649, 0x55629812,
-  0x555de9a6, 0x55593b05, 0x55548c30, 0x554fdd26, 0x554b2de7, 0x55467e74,
-    0x5541cecc, 0x553d1ef0,
-  0x55386edf, 0x5533be99, 0x552f0e1f, 0x552a5d70, 0x5525ac8d, 0x5520fb75,
-    0x551c4a29, 0x551798a8,
-  0x5512e6f3, 0x550e3509, 0x550982eb, 0x5504d099, 0x55001e12, 0x54fb6b56,
-    0x54f6b866, 0x54f20542,
-  0x54ed51e9, 0x54e89e5c, 0x54e3ea9a, 0x54df36a5, 0x54da827a, 0x54d5ce1c,
-    0x54d11989, 0x54cc64c2,
-  0x54c7afc6, 0x54c2fa96, 0x54be4532, 0x54b98f9a, 0x54b4d9cd, 0x54b023cc,
-    0x54ab6d97, 0x54a6b72e,
-  0x54a20090, 0x549d49bf, 0x549892b9, 0x5493db7f, 0x548f2410, 0x548a6c6e,
-    0x5485b497, 0x5480fc8c,
-  0x547c444d, 0x54778bda, 0x5472d333, 0x546e1a58, 0x54696149, 0x5464a805,
-    0x545fee8e, 0x545b34e3,
-  0x54567b03, 0x5451c0f0, 0x544d06a8, 0x54484c2d, 0x5443917d, 0x543ed699,
-    0x543a1b82, 0x54356037,
-  0x5430a4b7, 0x542be904, 0x54272d1d, 0x54227102, 0x541db4b3, 0x5418f830,
-    0x54143b79, 0x540f7e8e,
-  0x540ac170, 0x5406041d, 0x54014697, 0x53fc88dd, 0x53f7caef, 0x53f30cce,
-    0x53ee4e78, 0x53e98fef,
-  0x53e4d132, 0x53e01242, 0x53db531d, 0x53d693c5, 0x53d1d439, 0x53cd147a,
-    0x53c85486, 0x53c3945f,
-  0x53bed405, 0x53ba1377, 0x53b552b5, 0x53b091bf, 0x53abd096, 0x53a70f39,
-    0x53a24da9, 0x539d8be5,
-  0x5398c9ed, 0x539407c2, 0x538f4564, 0x538a82d1, 0x5385c00c, 0x5380fd12,
-    0x537c39e6, 0x53777685,
-  0x5372b2f2, 0x536def2a, 0x53692b30, 0x53646701, 0x535fa2a0, 0x535ade0b,
-    0x53561942, 0x53515447,
-  0x534c8f17, 0x5347c9b5, 0x5343041f, 0x533e3e55, 0x53397859, 0x5334b229,
-    0x532febc5, 0x532b252f,
-  0x53265e65, 0x53219767, 0x531cd037, 0x531808d3, 0x5313413c, 0x530e7972,
-    0x5309b174, 0x5304e943,
-  0x530020df, 0x52fb5848, 0x52f68f7e, 0x52f1c680, 0x52ecfd4f, 0x52e833ec,
-    0x52e36a55, 0x52dea08a,
-  0x52d9d68d, 0x52d50c5d, 0x52d041f9, 0x52cb7763, 0x52c6ac99, 0x52c1e19d,
-    0x52bd166d, 0x52b84b0a,
-  0x52b37f74, 0x52aeb3ac, 0x52a9e7b0, 0x52a51b81, 0x52a04f1f, 0x529b828a,
-    0x5296b5c3, 0x5291e8c8,
-  0x528d1b9b, 0x52884e3a, 0x528380a7, 0x527eb2e0, 0x5279e4e7, 0x527516bb,
-    0x5270485c, 0x526b79ca,
-  0x5266ab06, 0x5261dc0e, 0x525d0ce4, 0x52583d87, 0x52536df7, 0x524e9e34,
-    0x5249ce3f, 0x5244fe17,
-  0x52402dbc, 0x523b5d2e, 0x52368c6e, 0x5231bb7b, 0x522cea55, 0x522818fc,
-    0x52234771, 0x521e75b3,
-  0x5219a3c3, 0x5214d1a0, 0x520fff4a, 0x520b2cc2, 0x52065a07, 0x52018719,
-    0x51fcb3f9, 0x51f7e0a6,
-  0x51f30d21, 0x51ee3969, 0x51e9657e, 0x51e49162, 0x51dfbd12, 0x51dae890,
-    0x51d613dc, 0x51d13ef5,
-  0x51cc69db, 0x51c79490, 0x51c2bf11, 0x51bde960, 0x51b9137d, 0x51b43d68,
-    0x51af6720, 0x51aa90a5,
-  0x51a5b9f9, 0x51a0e31a, 0x519c0c08, 0x519734c4, 0x51925d4e, 0x518d85a6,
-    0x5188adcb, 0x5183d5be,
-  0x517efd7f, 0x517a250d, 0x51754c69, 0x51707393, 0x516b9a8b, 0x5166c150,
-    0x5161e7e4, 0x515d0e45,
-  0x51583473, 0x51535a70, 0x514e803b, 0x5149a5d3, 0x5144cb39, 0x513ff06d,
-    0x513b156f, 0x51363a3f,
-  0x51315edd, 0x512c8348, 0x5127a782, 0x5122cb8a, 0x511def5f, 0x51191302,
-    0x51143674, 0x510f59b3,
-  0x510a7cc1, 0x51059f9c, 0x5100c246, 0x50fbe4bd, 0x50f70703, 0x50f22916,
-    0x50ed4af8, 0x50e86ca8,
-  0x50e38e25, 0x50deaf71, 0x50d9d08b, 0x50d4f173, 0x50d0122a, 0x50cb32ae,
-    0x50c65301, 0x50c17322,
-  0x50bc9311, 0x50b7b2ce, 0x50b2d259, 0x50adf1b3, 0x50a910db, 0x50a42fd1,
-    0x509f4e95, 0x509a6d28,
-  0x50958b88, 0x5090a9b8, 0x508bc7b5, 0x5086e581, 0x5082031b, 0x507d2083,
-    0x50783dba, 0x50735abf,
-  0x506e7793, 0x50699435, 0x5064b0a5, 0x505fcce4, 0x505ae8f1, 0x505604cd,
-    0x50512077, 0x504c3bef,
-  0x50475736, 0x5042724c, 0x503d8d30, 0x5038a7e2, 0x5033c263, 0x502edcb2,
-    0x5029f6d1, 0x502510bd,
-  0x50202a78, 0x501b4402, 0x50165d5a, 0x50117681, 0x500c8f77, 0x5007a83b,
-    0x5002c0cd, 0x4ffdd92f,
-  0x4ff8f15f, 0x4ff4095e, 0x4fef212b, 0x4fea38c7, 0x4fe55032, 0x4fe0676c,
-    0x4fdb7e74, 0x4fd6954b,
-  0x4fd1abf0, 0x4fccc265, 0x4fc7d8a8, 0x4fc2eeba, 0x4fbe049b, 0x4fb91a4b,
-    0x4fb42fc9, 0x4faf4517,
-  0x4faa5a33, 0x4fa56f1e, 0x4fa083d8, 0x4f9b9861, 0x4f96acb8, 0x4f91c0df,
-    0x4f8cd4d4, 0x4f87e899,
-  0x4f82fc2c, 0x4f7e0f8f, 0x4f7922c0, 0x4f7435c0, 0x4f6f488f, 0x4f6a5b2e,
-    0x4f656d9b, 0x4f607fd7,
-  0x4f5b91e3, 0x4f56a3bd, 0x4f51b566, 0x4f4cc6df, 0x4f47d827, 0x4f42e93d,
-    0x4f3dfa23, 0x4f390ad8,
-  0x4f341b5c, 0x4f2f2baf, 0x4f2a3bd2, 0x4f254bc3, 0x4f205b84, 0x4f1b6b14,
-    0x4f167a73, 0x4f1189a1,
-  0x4f0c989f, 0x4f07a76b, 0x4f02b608, 0x4efdc473, 0x4ef8d2ad, 0x4ef3e0b7,
-    0x4eeeee90, 0x4ee9fc39,
-  0x4ee509b1, 0x4ee016f8, 0x4edb240e, 0x4ed630f4, 0x4ed13da9, 0x4ecc4a2e,
-    0x4ec75682, 0x4ec262a5,
-  0x4ebd6e98, 0x4eb87a5a, 0x4eb385ec, 0x4eae914d, 0x4ea99c7d, 0x4ea4a77d,
-    0x4e9fb24d, 0x4e9abcec,
-  0x4e95c75b, 0x4e90d199, 0x4e8bdba6, 0x4e86e583, 0x4e81ef30, 0x4e7cf8ac,
-    0x4e7801f8, 0x4e730b14,
-  0x4e6e13ff, 0x4e691cba, 0x4e642544, 0x4e5f2d9e, 0x4e5a35c7, 0x4e553dc1,
-    0x4e50458a, 0x4e4b4d22,
-  0x4e46548b, 0x4e415bc3, 0x4e3c62cb, 0x4e3769a2, 0x4e32704a, 0x4e2d76c1,
-    0x4e287d08, 0x4e23831e,
-  0x4e1e8905, 0x4e198ebb, 0x4e149441, 0x4e0f9997, 0x4e0a9ebd, 0x4e05a3b2,
-    0x4e00a878, 0x4dfbad0d,
-  0x4df6b173, 0x4df1b5a8, 0x4decb9ad, 0x4de7bd82, 0x4de2c127, 0x4dddc49c,
-    0x4dd8c7e1, 0x4dd3caf6,
-  0x4dcecdda, 0x4dc9d08f, 0x4dc4d314, 0x4dbfd569, 0x4dbad78e, 0x4db5d983,
-    0x4db0db48, 0x4dabdcdd,
-  0x4da6de43, 0x4da1df78, 0x4d9ce07d, 0x4d97e153, 0x4d92e1f9, 0x4d8de26f,
-    0x4d88e2b5, 0x4d83e2cb,
-  0x4d7ee2b1, 0x4d79e268, 0x4d74e1ef, 0x4d6fe146, 0x4d6ae06d, 0x4d65df64,
-    0x4d60de2c, 0x4d5bdcc4,
-  0x4d56db2d, 0x4d51d965, 0x4d4cd76e, 0x4d47d547, 0x4d42d2f1, 0x4d3dd06b,
-    0x4d38cdb5, 0x4d33cad0,
-  0x4d2ec7bb, 0x4d29c476, 0x4d24c102, 0x4d1fbd5e, 0x4d1ab98b, 0x4d15b588,
-    0x4d10b155, 0x4d0bacf3,
-  0x4d06a862, 0x4d01a3a0, 0x4cfc9eb0, 0x4cf79990, 0x4cf29440, 0x4ced8ec1,
-    0x4ce88913, 0x4ce38335,
-  0x4cde7d28, 0x4cd976eb, 0x4cd4707f, 0x4ccf69e3, 0x4cca6318, 0x4cc55c1e,
-    0x4cc054f4, 0x4cbb4d9b,
-  0x4cb64613, 0x4cb13e5b, 0x4cac3674, 0x4ca72e5e, 0x4ca22619, 0x4c9d1da4,
-    0x4c981500, 0x4c930c2d,
-  0x4c8e032a, 0x4c88f9f8, 0x4c83f097, 0x4c7ee707, 0x4c79dd48, 0x4c74d359,
-    0x4c6fc93b, 0x4c6abeef,
-  0x4c65b473, 0x4c60a9c8, 0x4c5b9eed, 0x4c5693e4, 0x4c5188ac, 0x4c4c7d44,
-    0x4c4771ae, 0x4c4265e8,
-  0x4c3d59f3, 0x4c384dd0, 0x4c33417d, 0x4c2e34fb, 0x4c29284b, 0x4c241b6b,
-    0x4c1f0e5c, 0x4c1a011f,
-  0x4c14f3b2, 0x4c0fe617, 0x4c0ad84c, 0x4c05ca53, 0x4c00bc2b, 0x4bfbadd4,
-    0x4bf69f4e, 0x4bf19099,
-  0x4bec81b5, 0x4be772a3, 0x4be26362, 0x4bdd53f2, 0x4bd84453, 0x4bd33485,
-    0x4bce2488, 0x4bc9145d,
-  0x4bc40403, 0x4bbef37b, 0x4bb9e2c3, 0x4bb4d1dd, 0x4bafc0c8, 0x4baaaf85,
-    0x4ba59e12, 0x4ba08c72,
-  0x4b9b7aa2, 0x4b9668a4, 0x4b915677, 0x4b8c441c, 0x4b873192, 0x4b821ed9,
-    0x4b7d0bf2, 0x4b77f8dc,
-  0x4b72e598, 0x4b6dd225, 0x4b68be84, 0x4b63aab4, 0x4b5e96b6, 0x4b598289,
-    0x4b546e2d, 0x4b4f59a4,
-  0x4b4a44eb, 0x4b453005, 0x4b401aef, 0x4b3b05ac, 0x4b35f03a, 0x4b30da9a,
-    0x4b2bc4cb, 0x4b26aece,
-  0x4b2198a2, 0x4b1c8248, 0x4b176bc0, 0x4b12550a, 0x4b0d3e25, 0x4b082712,
-    0x4b030fd1, 0x4afdf861,
-  0x4af8e0c3, 0x4af3c8f7, 0x4aeeb0fd, 0x4ae998d4, 0x4ae4807d, 0x4adf67f8,
-    0x4ada4f45, 0x4ad53664,
-  0x4ad01d54, 0x4acb0417, 0x4ac5eaab, 0x4ac0d111, 0x4abbb749, 0x4ab69d53,
-    0x4ab1832f, 0x4aac68dc,
-  0x4aa74e5c, 0x4aa233ae, 0x4a9d18d1, 0x4a97fdc7, 0x4a92e28e, 0x4a8dc728,
-    0x4a88ab93, 0x4a838fd1,
-  0x4a7e73e0, 0x4a7957c2, 0x4a743b76, 0x4a6f1efc, 0x4a6a0253, 0x4a64e57d,
-    0x4a5fc879, 0x4a5aab48,
-  0x4a558de8, 0x4a50705a, 0x4a4b529f, 0x4a4634b6, 0x4a41169f, 0x4a3bf85a,
-    0x4a36d9e7, 0x4a31bb47,
-  0x4a2c9c79, 0x4a277d7d, 0x4a225e53, 0x4a1d3efc, 0x4a181f77, 0x4a12ffc4,
-    0x4a0ddfe4, 0x4a08bfd5,
-  0x4a039f9a, 0x49fe7f30, 0x49f95e99, 0x49f43dd4, 0x49ef1ce2, 0x49e9fbc2,
-    0x49e4da74, 0x49dfb8f9,
-  0x49da9750, 0x49d5757a, 0x49d05376, 0x49cb3145, 0x49c60ee6, 0x49c0ec59,
-    0x49bbc9a0, 0x49b6a6b8,
-  0x49b183a3, 0x49ac6061, 0x49a73cf1, 0x49a21954, 0x499cf589, 0x4997d191,
-    0x4992ad6c, 0x498d8919,
-  0x49886499, 0x49833fec, 0x497e1b11, 0x4978f609, 0x4973d0d3, 0x496eab70,
-    0x496985e0, 0x49646023,
-  0x495f3a38, 0x495a1420, 0x4954eddb, 0x494fc768, 0x494aa0c9, 0x494579fc,
-    0x49405302, 0x493b2bdb,
-  0x49360486, 0x4930dd05, 0x492bb556, 0x49268d7a, 0x49216571, 0x491c3d3b,
-    0x491714d8, 0x4911ec47,
-  0x490cc38a, 0x49079aa0, 0x49027188, 0x48fd4844, 0x48f81ed2, 0x48f2f534,
-    0x48edcb68, 0x48e8a170,
-  0x48e3774a, 0x48de4cf8, 0x48d92278, 0x48d3f7cc, 0x48ceccf3, 0x48c9a1ed,
-    0x48c476b9, 0x48bf4b59,
-  0x48ba1fcd, 0x48b4f413, 0x48afc82c, 0x48aa9c19, 0x48a56fd9, 0x48a0436c,
-    0x489b16d2, 0x4895ea0b,
-  0x4890bd18, 0x488b8ff8, 0x488662ab, 0x48813531, 0x487c078b, 0x4876d9b8,
-    0x4871abb8, 0x486c7d8c,
-  0x48674f33, 0x486220ad, 0x485cf1fa, 0x4857c31b, 0x48529410, 0x484d64d7,
-    0x48483572, 0x484305e1,
-  0x483dd623, 0x4838a638, 0x48337621, 0x482e45dd, 0x4829156d, 0x4823e4d0,
-    0x481eb407, 0x48198311,
-  0x481451ef, 0x480f20a0, 0x4809ef25, 0x4804bd7e, 0x47ff8baa, 0x47fa59a9,
-    0x47f5277d, 0x47eff523,
-  0x47eac29e, 0x47e58fec, 0x47e05d0e, 0x47db2a03, 0x47d5f6cc, 0x47d0c369,
-    0x47cb8fd9, 0x47c65c1d,
-  0x47c12835, 0x47bbf421, 0x47b6bfe0, 0x47b18b74, 0x47ac56da, 0x47a72215,
-    0x47a1ed24, 0x479cb806,
-  0x479782bc, 0x47924d46, 0x478d17a4, 0x4787e1d6, 0x4782abdb, 0x477d75b5,
-    0x47783f62, 0x477308e3,
-  0x476dd239, 0x47689b62, 0x4763645f, 0x475e2d30, 0x4758f5d5, 0x4753be4e,
-    0x474e869b, 0x47494ebc,
-  0x474416b1, 0x473ede7a, 0x4739a617, 0x47346d89, 0x472f34ce, 0x4729fbe7,
-    0x4724c2d5, 0x471f8996,
-  0x471a502c, 0x47151696, 0x470fdcd4, 0x470aa2e6, 0x470568cd, 0x47002e87,
-    0x46faf416, 0x46f5b979,
-  0x46f07eb0, 0x46eb43bc, 0x46e6089b, 0x46e0cd4f, 0x46db91d8, 0x46d65634,
-    0x46d11a65, 0x46cbde6a,
-  0x46c6a244, 0x46c165f1, 0x46bc2974, 0x46b6ecca, 0x46b1aff5, 0x46ac72f4,
-    0x46a735c8, 0x46a1f870,
-  0x469cbaed, 0x46977d3e, 0x46923f63, 0x468d015d, 0x4687c32c, 0x468284cf,
-    0x467d4646, 0x46780792,
-  0x4672c8b3, 0x466d89a8, 0x46684a71, 0x46630b0f, 0x465dcb82, 0x46588bc9,
-    0x46534be5, 0x464e0bd6,
-  0x4648cb9b, 0x46438b35, 0x463e4aa3, 0x463909e7, 0x4633c8fe, 0x462e87eb,
-    0x462946ac, 0x46240542,
-  0x461ec3ad, 0x461981ec, 0x46144001, 0x460efde9, 0x4609bba7, 0x4604793a,
-    0x45ff36a1, 0x45f9f3dd,
-  0x45f4b0ee, 0x45ef6dd4, 0x45ea2a8f, 0x45e4e71f, 0x45dfa383, 0x45da5fbc,
-    0x45d51bcb, 0x45cfd7ae,
-  0x45ca9366, 0x45c54ef3, 0x45c00a55, 0x45bac58c, 0x45b58098, 0x45b03b79,
-    0x45aaf630, 0x45a5b0bb,
-  0x45a06b1b, 0x459b2550, 0x4595df5a, 0x45909939, 0x458b52ee, 0x45860c77,
-    0x4580c5d6, 0x457b7f0a,
-  0x45763813, 0x4570f0f1, 0x456ba9a4, 0x4566622c, 0x45611a8a, 0x455bd2bc,
-    0x45568ac4, 0x455142a2,
-  0x454bfa54, 0x4546b1dc, 0x45416939, 0x453c206b, 0x4536d773, 0x45318e4f,
-    0x452c4502, 0x4526fb89,
-  0x4521b1e6, 0x451c6818, 0x45171e20, 0x4511d3fd, 0x450c89af, 0x45073f37,
-    0x4501f494, 0x44fca9c6,
-  0x44f75ecf, 0x44f213ac, 0x44ecc85f, 0x44e77ce7, 0x44e23145, 0x44dce579,
-    0x44d79982, 0x44d24d60,
-  0x44cd0114, 0x44c7b49e, 0x44c267fd, 0x44bd1b32, 0x44b7ce3c, 0x44b2811c,
-    0x44ad33d2, 0x44a7e65d,
-  0x44a298be, 0x449d4af5, 0x4497fd01, 0x4492aee3, 0x448d609b, 0x44881228,
-    0x4482c38b, 0x447d74c4,
-  0x447825d2, 0x4472d6b7, 0x446d8771, 0x44683801, 0x4462e866, 0x445d98a2,
-    0x445848b3, 0x4452f89b,
-  0x444da858, 0x444857ea, 0x44430753, 0x443db692, 0x443865a7, 0x44331491,
-    0x442dc351, 0x442871e8,
-  0x44232054, 0x441dce96, 0x44187caf, 0x44132a9d, 0x440dd861, 0x440885fc,
-    0x4403336c, 0x43fde0b2,
-  0x43f88dcf, 0x43f33ac1, 0x43ede78a, 0x43e89429, 0x43e3409d, 0x43ddece8,
-    0x43d8990a, 0x43d34501,
-  0x43cdf0ce, 0x43c89c72, 0x43c347eb, 0x43bdf33b, 0x43b89e62, 0x43b3495e,
-    0x43adf431, 0x43a89ed9,
-  0x43a34959, 0x439df3ae, 0x43989dda, 0x439347dc, 0x438df1b4, 0x43889b63,
-    0x438344e8, 0x437dee43,
-  0x43789775, 0x4373407d, 0x436de95b, 0x43689210, 0x43633a9c, 0x435de2fd,
-    0x43588b36, 0x43533344,
-  0x434ddb29, 0x434882e5, 0x43432a77, 0x433dd1e0, 0x4338791f, 0x43332035,
-    0x432dc721, 0x43286de4,
-  0x4323147d, 0x431dbaed, 0x43186133, 0x43130751, 0x430dad44, 0x4308530f,
-    0x4302f8b0, 0x42fd9e28,
-  0x42f84376, 0x42f2e89b, 0x42ed8d97, 0x42e83269, 0x42e2d713, 0x42dd7b93,
-    0x42d81fe9, 0x42d2c417,
-  0x42cd681b, 0x42c80bf6, 0x42c2afa8, 0x42bd5331, 0x42b7f690, 0x42b299c7,
-    0x42ad3cd4, 0x42a7dfb8,
-  0x42a28273, 0x429d2505, 0x4297c76e, 0x429269ae, 0x428d0bc4, 0x4287adb2,
-    0x42824f76, 0x427cf112,
-  0x42779285, 0x427233ce, 0x426cd4ef, 0x426775e6, 0x426216b5, 0x425cb75a,
-    0x425757d7, 0x4251f82b,
-  0x424c9856, 0x42473858, 0x4241d831, 0x423c77e1, 0x42371769, 0x4231b6c7,
-    0x422c55fd, 0x4226f50a,
-  0x422193ee, 0x421c32a9, 0x4216d13c, 0x42116fa5, 0x420c0de6, 0x4206abfe,
-    0x420149ee, 0x41fbe7b5,
-  0x41f68553, 0x41f122c8, 0x41ebc015, 0x41e65d39, 0x41e0fa35, 0x41db9707,
-    0x41d633b1, 0x41d0d033,
-  0x41cb6c8c, 0x41c608bc, 0x41c0a4c4, 0x41bb40a3, 0x41b5dc5a, 0x41b077e8,
-    0x41ab134e, 0x41a5ae8b,
-  0x41a049a0, 0x419ae48c, 0x41957f4f, 0x419019eb, 0x418ab45d, 0x41854ea8,
-    0x417fe8ca, 0x417a82c3,
-  0x41751c94, 0x416fb63d, 0x416a4fbd, 0x4164e916, 0x415f8245, 0x415a1b4d,
-    0x4154b42c, 0x414f4ce2,
-  0x4149e571, 0x41447dd7, 0x413f1615, 0x4139ae2b, 0x41344618, 0x412edddd,
-    0x4129757b, 0x41240cef,
-  0x411ea43c, 0x41193b61, 0x4113d25d, 0x410e6931, 0x4108ffdd, 0x41039661,
-    0x40fe2cbd, 0x40f8c2f1,
-  0x40f358fc, 0x40edeee0, 0x40e8849b, 0x40e31a2f, 0x40ddaf9b, 0x40d844de,
-    0x40d2d9f9, 0x40cd6eed,
-  0x40c803b8, 0x40c2985c, 0x40bd2cd8, 0x40b7c12b, 0x40b25557, 0x40ace95b,
-    0x40a77d37, 0x40a210eb,
-  0x409ca477, 0x409737dc, 0x4091cb18, 0x408c5e2d, 0x4086f11a, 0x408183df,
-    0x407c167c, 0x4076a8f1,
-  0x40713b3f, 0x406bcd65, 0x40665f63, 0x4060f13a, 0x405b82e9, 0x40561470,
-    0x4050a5cf, 0x404b3707,
-  0x4045c817, 0x404058ff, 0x403ae9c0, 0x40357a59, 0x40300acb, 0x402a9b15,
-    0x40252b37, 0x401fbb32,
-  0x401a4b05, 0x4014dab1, 0x400f6a35, 0x4009f992, 0x400488c7, 0x3fff17d5,
-    0x3ff9a6bb, 0x3ff4357a,
-  0x3feec411, 0x3fe95281, 0x3fe3e0c9, 0x3fde6eeb, 0x3fd8fce4, 0x3fd38ab6,
-    0x3fce1861, 0x3fc8a5e5,
-  0x3fc33341, 0x3fbdc076, 0x3fb84d83, 0x3fb2da6a, 0x3fad6729, 0x3fa7f3c0,
-    0x3fa28031, 0x3f9d0c7a,
-  0x3f97989c, 0x3f922496, 0x3f8cb06a, 0x3f873c16, 0x3f81c79b, 0x3f7c52f9,
-    0x3f76de30, 0x3f71693f,
-  0x3f6bf428, 0x3f667ee9, 0x3f610983, 0x3f5b93f6, 0x3f561e42, 0x3f50a867,
-    0x3f4b3265, 0x3f45bc3c,
-  0x3f4045ec, 0x3f3acf75, 0x3f3558d7, 0x3f2fe211, 0x3f2a6b25, 0x3f24f412,
-    0x3f1f7cd8, 0x3f1a0577,
-  0x3f148def, 0x3f0f1640, 0x3f099e6b, 0x3f04266e, 0x3efeae4a, 0x3ef93600,
-    0x3ef3bd8f, 0x3eee44f7,
-  0x3ee8cc38, 0x3ee35352, 0x3eddda46, 0x3ed86113, 0x3ed2e7b9, 0x3ecd6e38,
-    0x3ec7f491, 0x3ec27ac2,
-  0x3ebd00cd, 0x3eb786b2, 0x3eb20c6f, 0x3eac9206, 0x3ea71777, 0x3ea19cc1,
-    0x3e9c21e4, 0x3e96a6e0,
-  0x3e912bb6, 0x3e8bb065, 0x3e8634ee, 0x3e80b950, 0x3e7b3d8c, 0x3e75c1a1,
-    0x3e70458f, 0x3e6ac957,
-  0x3e654cf8, 0x3e5fd073, 0x3e5a53c8, 0x3e54d6f6, 0x3e4f59fe, 0x3e49dcdf,
-    0x3e445f99, 0x3e3ee22e,
-  0x3e39649c, 0x3e33e6e3, 0x3e2e6904, 0x3e28eaff, 0x3e236cd4, 0x3e1dee82,
-    0x3e18700a, 0x3e12f16b,
-  0x3e0d72a6, 0x3e07f3bb, 0x3e0274aa, 0x3dfcf572, 0x3df77615, 0x3df1f691,
-    0x3dec76e6, 0x3de6f716,
-  0x3de1771f, 0x3ddbf703, 0x3dd676c0, 0x3dd0f656, 0x3dcb75c7, 0x3dc5f512,
-    0x3dc07436, 0x3dbaf335,
-  0x3db5720d, 0x3daff0c0, 0x3daa6f4c, 0x3da4edb2, 0x3d9f6bf2, 0x3d99ea0d,
-    0x3d946801, 0x3d8ee5cf,
-  0x3d896377, 0x3d83e0f9, 0x3d7e5e56, 0x3d78db8c, 0x3d73589d, 0x3d6dd587,
-    0x3d68524c, 0x3d62ceeb,
-  0x3d5d4b64, 0x3d57c7b7, 0x3d5243e4, 0x3d4cbfeb, 0x3d473bcd, 0x3d41b789,
-    0x3d3c331f, 0x3d36ae8f,
-  0x3d3129da, 0x3d2ba4fe, 0x3d261ffd, 0x3d209ad7, 0x3d1b158a, 0x3d159018,
-    0x3d100a80, 0x3d0a84c3,
-  0x3d04fee0, 0x3cff78d7, 0x3cf9f2a9, 0x3cf46c55, 0x3ceee5db, 0x3ce95f3c,
-    0x3ce3d877, 0x3cde518d,
-  0x3cd8ca7d, 0x3cd34347, 0x3ccdbbed, 0x3cc8346c, 0x3cc2acc6, 0x3cbd24fb,
-    0x3cb79d0a, 0x3cb214f4,
-  0x3cac8cb8, 0x3ca70457, 0x3ca17bd0, 0x3c9bf324, 0x3c966a53, 0x3c90e15c,
-    0x3c8b5840, 0x3c85cefe,
-  0x3c804598, 0x3c7abc0c, 0x3c75325a, 0x3c6fa883, 0x3c6a1e87, 0x3c649466,
-    0x3c5f0a20, 0x3c597fb4,
-  0x3c53f523, 0x3c4e6a6d, 0x3c48df91, 0x3c435491, 0x3c3dc96b, 0x3c383e20,
-    0x3c32b2b0, 0x3c2d271b,
-  0x3c279b61, 0x3c220f81, 0x3c1c837d, 0x3c16f753, 0x3c116b04, 0x3c0bde91,
-    0x3c0651f8, 0x3c00c53a,
-  0x3bfb3857, 0x3bf5ab50, 0x3bf01e23, 0x3bea90d1, 0x3be5035a, 0x3bdf75bf,
-    0x3bd9e7fe, 0x3bd45a19,
-  0x3bcecc0e, 0x3bc93ddf, 0x3bc3af8b, 0x3bbe2112, 0x3bb89274, 0x3bb303b1,
-    0x3bad74c9, 0x3ba7e5bd,
-  0x3ba2568c, 0x3b9cc736, 0x3b9737bb, 0x3b91a81c, 0x3b8c1857, 0x3b86886e,
-    0x3b80f861, 0x3b7b682e,
-  0x3b75d7d7, 0x3b70475c, 0x3b6ab6bb, 0x3b6525f6, 0x3b5f950c, 0x3b5a03fe,
-    0x3b5472cb, 0x3b4ee173,
-  0x3b494ff7, 0x3b43be57, 0x3b3e2c91, 0x3b389aa8, 0x3b330899, 0x3b2d7666,
-    0x3b27e40f, 0x3b225193,
-  0x3b1cbef3, 0x3b172c2e, 0x3b119945, 0x3b0c0637, 0x3b067305, 0x3b00dfaf,
-    0x3afb4c34, 0x3af5b894,
-  0x3af024d1, 0x3aea90e9, 0x3ae4fcdc, 0x3adf68ac, 0x3ad9d457, 0x3ad43fdd,
-    0x3aceab40, 0x3ac9167e,
-  0x3ac38198, 0x3abdec8d, 0x3ab8575f, 0x3ab2c20c, 0x3aad2c95, 0x3aa796fa,
-    0x3aa2013a, 0x3a9c6b57,
-  0x3a96d54f, 0x3a913f23, 0x3a8ba8d3, 0x3a86125f, 0x3a807bc7, 0x3a7ae50a,
-    0x3a754e2a, 0x3a6fb726,
-  0x3a6a1ffd, 0x3a6488b1, 0x3a5ef140, 0x3a5959ab, 0x3a53c1f3, 0x3a4e2a16,
-    0x3a489216, 0x3a42f9f2,
-  0x3a3d61a9, 0x3a37c93d, 0x3a3230ad, 0x3a2c97f9, 0x3a26ff21, 0x3a216625,
-    0x3a1bcd05, 0x3a1633c1,
-  0x3a109a5a, 0x3a0b00cf, 0x3a056720, 0x39ffcd4d, 0x39fa3356, 0x39f4993c,
-    0x39eefefe, 0x39e9649c,
-  0x39e3ca17, 0x39de2f6d, 0x39d894a0, 0x39d2f9b0, 0x39cd5e9b, 0x39c7c363,
-    0x39c22808, 0x39bc8c89,
-  0x39b6f0e6, 0x39b1551f, 0x39abb935, 0x39a61d28, 0x39a080f6, 0x399ae4a2,
-    0x39954829, 0x398fab8e,
-  0x398a0ece, 0x398471ec, 0x397ed4e5, 0x397937bc, 0x39739a6e, 0x396dfcfe,
-    0x39685f6a, 0x3962c1b2,
-  0x395d23d7, 0x395785d9, 0x3951e7b8, 0x394c4973, 0x3946ab0a, 0x39410c7f,
-    0x393b6dd0, 0x3935cefd,
-  0x39303008, 0x392a90ef, 0x3924f1b3, 0x391f5254, 0x3919b2d1, 0x3914132b,
-    0x390e7362, 0x3908d376,
-  0x39033367, 0x38fd9334, 0x38f7f2de, 0x38f25266, 0x38ecb1ca, 0x38e7110a,
-    0x38e17028, 0x38dbcf23,
-  0x38d62dfb, 0x38d08caf, 0x38caeb41, 0x38c549af, 0x38bfa7fb, 0x38ba0623,
-    0x38b46429, 0x38aec20b,
-  0x38a91fcb, 0x38a37d67, 0x389ddae1, 0x38983838, 0x3892956c, 0x388cf27d,
-    0x38874f6b, 0x3881ac36,
-  0x387c08de, 0x38766564, 0x3870c1c6, 0x386b1e06, 0x38657a23, 0x385fd61d,
-    0x385a31f5, 0x38548daa,
-  0x384ee93b, 0x384944ab, 0x38439ff7, 0x383dfb21, 0x38385628, 0x3832b10d,
-    0x382d0bce, 0x3827666d,
-  0x3821c0ea, 0x381c1b44, 0x3816757b, 0x3810cf90, 0x380b2982, 0x38058351,
-    0x37ffdcfe, 0x37fa3688,
-  0x37f48ff0, 0x37eee936, 0x37e94259, 0x37e39b59, 0x37ddf437, 0x37d84cf2,
-    0x37d2a58b, 0x37ccfe02,
-  0x37c75656, 0x37c1ae87, 0x37bc0697, 0x37b65e84, 0x37b0b64e, 0x37ab0df6,
-    0x37a5657c, 0x379fbce0,
-  0x379a1421, 0x37946b40, 0x378ec23d, 0x37891917, 0x37836fcf, 0x377dc665,
-    0x37781cd9, 0x3772732a,
-  0x376cc959, 0x37671f66, 0x37617551, 0x375bcb1a, 0x375620c1, 0x37507645,
-    0x374acba7, 0x374520e7,
-  0x373f7606, 0x3739cb02, 0x37341fdc, 0x372e7493, 0x3728c929, 0x37231d9d,
-    0x371d71ef, 0x3717c61f,
-  0x37121a2d, 0x370c6e19, 0x3706c1e2, 0x3701158a, 0x36fb6910, 0x36f5bc75,
-    0x36f00fb7, 0x36ea62d7,
-  0x36e4b5d6, 0x36df08b2, 0x36d95b6d, 0x36d3ae06, 0x36ce007d, 0x36c852d2,
-    0x36c2a506, 0x36bcf718,
-  0x36b74908, 0x36b19ad6, 0x36abec82, 0x36a63e0d, 0x36a08f76, 0x369ae0bd,
-    0x369531e3, 0x368f82e7,
-  0x3689d3c9, 0x3684248a, 0x367e7529, 0x3678c5a7, 0x36731602, 0x366d663d,
-    0x3667b655, 0x3662064c,
-  0x365c5622, 0x3656a5d6, 0x3650f569, 0x364b44da, 0x36459429, 0x363fe357,
-    0x363a3264, 0x3634814f,
-  0x362ed019, 0x36291ec1, 0x36236d48, 0x361dbbad, 0x361809f1, 0x36125814,
-    0x360ca615, 0x3606f3f5,
-  0x360141b4, 0x35fb8f52, 0x35f5dcce, 0x35f02a28, 0x35ea7762, 0x35e4c47a,
-    0x35df1171, 0x35d95e47,
-  0x35d3aafc, 0x35cdf78f, 0x35c84401, 0x35c29052, 0x35bcdc82, 0x35b72891,
-    0x35b1747e, 0x35abc04b,
-  0x35a60bf6, 0x35a05781, 0x359aa2ea, 0x3594ee32, 0x358f3959, 0x3589845f,
-    0x3583cf44, 0x357e1a08,
-  0x357864ab, 0x3572af2d, 0x356cf98e, 0x356743ce, 0x35618ded, 0x355bd7eb,
-    0x355621c9, 0x35506b85,
-  0x354ab520, 0x3544fe9b, 0x353f47f5, 0x3539912e, 0x3533da46, 0x352e233d,
-    0x35286c14, 0x3522b4c9,
-  0x351cfd5e, 0x351745d2, 0x35118e26, 0x350bd658, 0x35061e6a, 0x3500665c,
-    0x34faae2c, 0x34f4f5dc,
-  0x34ef3d6b, 0x34e984da, 0x34e3cc28, 0x34de1355, 0x34d85a62, 0x34d2a14e,
-    0x34cce819, 0x34c72ec4,
-  0x34c1754e, 0x34bbbbb8, 0x34b60202, 0x34b0482a, 0x34aa8e33, 0x34a4d41a,
-    0x349f19e2, 0x34995f88,
-  0x3493a50f, 0x348dea75, 0x34882fba, 0x348274e0, 0x347cb9e4, 0x3476fec9,
-    0x3471438d, 0x346b8830,
-  0x3465ccb4, 0x34601117, 0x345a5559, 0x3454997c, 0x344edd7e, 0x34492160,
-    0x34436521, 0x343da8c3,
-  0x3437ec44, 0x34322fa5, 0x342c72e6, 0x3426b606, 0x3420f907, 0x341b3be7,
-    0x34157ea7, 0x340fc147,
-  0x340a03c7, 0x34044626, 0x33fe8866, 0x33f8ca86, 0x33f30c85, 0x33ed4e65,
-    0x33e79024, 0x33e1d1c4,
-  0x33dc1343, 0x33d654a2, 0x33d095e2, 0x33cad701, 0x33c51801, 0x33bf58e1,
-    0x33b999a0, 0x33b3da40,
-  0x33ae1ac0, 0x33a85b20, 0x33a29b60, 0x339cdb81, 0x33971b81, 0x33915b62,
-    0x338b9b22, 0x3385dac4,
-  0x33801a45, 0x337a59a6, 0x337498e8, 0x336ed80a, 0x3369170c, 0x336355ef,
-    0x335d94b2, 0x3357d355,
-  0x335211d8, 0x334c503c, 0x33468e80, 0x3340cca5, 0x333b0aaa, 0x3335488f,
-    0x332f8655, 0x3329c3fb,
-  0x33240182, 0x331e3ee9, 0x33187c31, 0x3312b959, 0x330cf661, 0x3307334a,
-    0x33017014, 0x32fbacbe,
-  0x32f5e948, 0x32f025b4, 0x32ea61ff, 0x32e49e2c, 0x32deda39, 0x32d91626,
-    0x32d351f5, 0x32cd8da4,
-  0x32c7c933, 0x32c204a3, 0x32bc3ff4, 0x32b67b26, 0x32b0b638, 0x32aaf12b,
-    0x32a52bff, 0x329f66b4,
-  0x3299a149, 0x3293dbbf, 0x328e1616, 0x3288504e, 0x32828a67, 0x327cc460,
-    0x3276fe3a, 0x327137f6,
-  0x326b7192, 0x3265ab0f, 0x325fe46c, 0x325a1dab, 0x325456cb, 0x324e8fcc,
-    0x3248c8ad, 0x32430170,
-  0x323d3a14, 0x32377298, 0x3231aafe, 0x322be345, 0x32261b6c, 0x32205375,
-    0x321a8b5f, 0x3214c32a,
-  0x320efad6, 0x32093263, 0x320369d2, 0x31fda121, 0x31f7d852, 0x31f20f64,
-    0x31ec4657, 0x31e67d2b,
-  0x31e0b3e0, 0x31daea77, 0x31d520ef, 0x31cf5748, 0x31c98d83, 0x31c3c39e,
-    0x31bdf99b, 0x31b82f7a,
-  0x31b2653a, 0x31ac9adb, 0x31a6d05d, 0x31a105c1, 0x319b3b06, 0x3195702d,
-    0x318fa535, 0x3189da1e,
-  0x31840ee9, 0x317e4395, 0x31787823, 0x3172ac92, 0x316ce0e3, 0x31671515,
-    0x31614929, 0x315b7d1e,
-  0x3155b0f5, 0x314fe4ae, 0x314a1848, 0x31444bc3, 0x313e7f21, 0x3138b260,
-    0x3132e580, 0x312d1882,
-  0x31274b66, 0x31217e2c, 0x311bb0d3, 0x3115e35c, 0x311015c6, 0x310a4813,
-    0x31047a41, 0x30feac51,
-  0x30f8de42, 0x30f31016, 0x30ed41cb, 0x30e77362, 0x30e1a4db, 0x30dbd636,
-    0x30d60772, 0x30d03891,
-  0x30ca6991, 0x30c49a74, 0x30becb38, 0x30b8fbde, 0x30b32c66, 0x30ad5cd0,
-    0x30a78d1c, 0x30a1bd4a,
-  0x309bed5a, 0x30961d4c, 0x30904d20, 0x308a7cd6, 0x3084ac6e, 0x307edbe9,
-    0x30790b45, 0x30733a83,
-  0x306d69a4, 0x306798a7, 0x3061c78b, 0x305bf652, 0x305624fb, 0x30505387,
-    0x304a81f4, 0x3044b044,
-  0x303ede76, 0x30390c8a, 0x30333a80, 0x302d6859, 0x30279614, 0x3021c3b1,
-    0x301bf131, 0x30161e93,
-  0x30104bd7, 0x300a78fe, 0x3004a607, 0x2ffed2f2, 0x2ff8ffc0, 0x2ff32c70,
-    0x2fed5902, 0x2fe78577,
-  0x2fe1b1cf, 0x2fdbde09, 0x2fd60a25, 0x2fd03624, 0x2fca6206, 0x2fc48dc9,
-    0x2fbeb970, 0x2fb8e4f9,
-  0x2fb31064, 0x2fad3bb3, 0x2fa766e3, 0x2fa191f7, 0x2f9bbced, 0x2f95e7c5,
-    0x2f901280, 0x2f8a3d1e,
-  0x2f84679f, 0x2f7e9202, 0x2f78bc48, 0x2f72e671, 0x2f6d107c, 0x2f673a6a,
-    0x2f61643b, 0x2f5b8def,
-  0x2f55b785, 0x2f4fe0ff, 0x2f4a0a5b, 0x2f44339a, 0x2f3e5cbb, 0x2f3885c0,
-    0x2f32aea8, 0x2f2cd772,
-  0x2f27001f, 0x2f2128af, 0x2f1b5122, 0x2f157979, 0x2f0fa1b2, 0x2f09c9ce,
-    0x2f03f1cd, 0x2efe19ae,
-  0x2ef84173, 0x2ef2691b, 0x2eec90a7, 0x2ee6b815, 0x2ee0df66, 0x2edb069a,
-    0x2ed52db1, 0x2ecf54ac,
-  0x2ec97b89, 0x2ec3a24a, 0x2ebdc8ee, 0x2eb7ef75, 0x2eb215df, 0x2eac3c2d,
-    0x2ea6625d, 0x2ea08871,
-  0x2e9aae68, 0x2e94d443, 0x2e8efa00, 0x2e891fa1, 0x2e834525, 0x2e7d6a8d,
-    0x2e778fd8, 0x2e71b506,
-  0x2e6bda17, 0x2e65ff0c, 0x2e6023e5, 0x2e5a48a0, 0x2e546d3f, 0x2e4e91c2,
-    0x2e48b628, 0x2e42da71,
-  0x2e3cfe9e, 0x2e3722ae, 0x2e3146a2, 0x2e2b6a79, 0x2e258e34, 0x2e1fb1d3,
-    0x2e19d554, 0x2e13f8ba,
-  0x2e0e1c03, 0x2e083f30, 0x2e026240, 0x2dfc8534, 0x2df6a80b, 0x2df0cac6,
-    0x2deaed65, 0x2de50fe8,
-  0x2ddf324e, 0x2dd95498, 0x2dd376c5, 0x2dcd98d7, 0x2dc7bacc, 0x2dc1dca4,
-    0x2dbbfe61, 0x2db62001,
-  0x2db04186, 0x2daa62ee, 0x2da4843a, 0x2d9ea569, 0x2d98c67d, 0x2d92e774,
-    0x2d8d084f, 0x2d87290f,
-  0x2d8149b2, 0x2d7b6a39, 0x2d758aa4, 0x2d6faaf3, 0x2d69cb26, 0x2d63eb3d,
-    0x2d5e0b38, 0x2d582b17,
-  0x2d524ada, 0x2d4c6a81, 0x2d468a0c, 0x2d40a97b, 0x2d3ac8ce, 0x2d34e805,
-    0x2d2f0721, 0x2d292620,
-  0x2d234504, 0x2d1d63cc, 0x2d178278, 0x2d11a108, 0x2d0bbf7d, 0x2d05ddd5,
-    0x2cfffc12, 0x2cfa1a33,
-  0x2cf43839, 0x2cee5622, 0x2ce873f0, 0x2ce291a2, 0x2cdcaf39, 0x2cd6ccb4,
-    0x2cd0ea13, 0x2ccb0756,
-  0x2cc5247e, 0x2cbf418b, 0x2cb95e7b, 0x2cb37b51, 0x2cad980a, 0x2ca7b4a8,
-    0x2ca1d12a, 0x2c9bed91,
-  0x2c9609dd, 0x2c90260d, 0x2c8a4221, 0x2c845e1a, 0x2c7e79f7, 0x2c7895b9,
-    0x2c72b160, 0x2c6ccceb,
-  0x2c66e85b, 0x2c6103af, 0x2c5b1ee8, 0x2c553a06, 0x2c4f5508, 0x2c496fef,
-    0x2c438abb, 0x2c3da56b,
-  0x2c37c000, 0x2c31da7a, 0x2c2bf4d8, 0x2c260f1c, 0x2c202944, 0x2c1a4351,
-    0x2c145d42, 0x2c0e7719,
-  0x2c0890d4, 0x2c02aa74, 0x2bfcc3f9, 0x2bf6dd63, 0x2bf0f6b1, 0x2beb0fe5,
-    0x2be528fd, 0x2bdf41fb,
-  0x2bd95add, 0x2bd373a4, 0x2bcd8c51, 0x2bc7a4e2, 0x2bc1bd58, 0x2bbbd5b3,
-    0x2bb5edf4, 0x2bb00619,
-  0x2baa1e23, 0x2ba43613, 0x2b9e4de7, 0x2b9865a1, 0x2b927d3f, 0x2b8c94c3,
-    0x2b86ac2c, 0x2b80c37a,
-  0x2b7adaae, 0x2b74f1c6, 0x2b6f08c4, 0x2b691fa6, 0x2b63366f, 0x2b5d4d1c,
-    0x2b5763ae, 0x2b517a26,
-  0x2b4b9083, 0x2b45a6c6, 0x2b3fbced, 0x2b39d2fa, 0x2b33e8ed, 0x2b2dfec5,
-    0x2b281482, 0x2b222a24,
-  0x2b1c3fac, 0x2b165519, 0x2b106a6c, 0x2b0a7fa4, 0x2b0494c2, 0x2afea9c5,
-    0x2af8bead, 0x2af2d37b,
-  0x2aece82f, 0x2ae6fcc8, 0x2ae11146, 0x2adb25aa, 0x2ad539f4, 0x2acf4e23,
-    0x2ac96238, 0x2ac37633,
-  0x2abd8a13, 0x2ab79dd8, 0x2ab1b184, 0x2aabc515, 0x2aa5d88b, 0x2a9febe8,
-    0x2a99ff2a, 0x2a941252,
-  0x2a8e255f, 0x2a883853, 0x2a824b2c, 0x2a7c5deb, 0x2a76708f, 0x2a70831a,
-    0x2a6a958a, 0x2a64a7e0,
-  0x2a5eba1c, 0x2a58cc3e, 0x2a52de46, 0x2a4cf033, 0x2a470207, 0x2a4113c0,
-    0x2a3b2560, 0x2a3536e5,
-  0x2a2f4850, 0x2a2959a1, 0x2a236ad9, 0x2a1d7bf6, 0x2a178cf9, 0x2a119de2,
-    0x2a0baeb2, 0x2a05bf67,
-  0x29ffd003, 0x29f9e084, 0x29f3f0ec, 0x29ee013a, 0x29e8116e, 0x29e22188,
-    0x29dc3188, 0x29d6416f,
-  0x29d0513b, 0x29ca60ee, 0x29c47087, 0x29be8007, 0x29b88f6c, 0x29b29eb8,
-    0x29acadea, 0x29a6bd02,
-  0x29a0cc01, 0x299adae6, 0x2994e9b1, 0x298ef863, 0x298906fb, 0x2983157a,
-    0x297d23df, 0x2977322a,
-  0x2971405b, 0x296b4e74, 0x29655c72, 0x295f6a57, 0x29597823, 0x295385d5,
-    0x294d936d, 0x2947a0ec,
-  0x2941ae52, 0x293bbb9e, 0x2935c8d1, 0x292fd5ea, 0x2929e2ea, 0x2923efd0,
-    0x291dfc9d, 0x29180951,
-  0x291215eb, 0x290c226c, 0x29062ed4, 0x29003b23, 0x28fa4758, 0x28f45374,
-    0x28ee5f76, 0x28e86b5f,
-  0x28e27730, 0x28dc82e6, 0x28d68e84, 0x28d09a09, 0x28caa574, 0x28c4b0c6,
-    0x28bebbff, 0x28b8c71f,
-  0x28b2d226, 0x28acdd13, 0x28a6e7e8, 0x28a0f2a3, 0x289afd46, 0x289507cf,
-    0x288f123f, 0x28891c97,
-  0x288326d5, 0x287d30fa, 0x28773b07, 0x287144fa, 0x286b4ed5, 0x28655896,
-    0x285f623f, 0x28596bce,
-  0x28537545, 0x284d7ea3, 0x284787e8, 0x28419114, 0x283b9a28, 0x2835a322,
-    0x282fac04, 0x2829b4cd,
-  0x2823bd7d, 0x281dc615, 0x2817ce93, 0x2811d6f9, 0x280bdf46, 0x2805e77b,
-    0x27ffef97, 0x27f9f79a,
-  0x27f3ff85, 0x27ee0756, 0x27e80f10, 0x27e216b0, 0x27dc1e38, 0x27d625a8,
-    0x27d02cff, 0x27ca343d,
-  0x27c43b63, 0x27be4270, 0x27b84965, 0x27b25041, 0x27ac5705, 0x27a65db0,
-    0x27a06443, 0x279a6abd,
-  0x2794711f, 0x278e7768, 0x27887d99, 0x278283b2, 0x277c89b3, 0x27768f9b,
-    0x2770956a, 0x276a9b21,
-  0x2764a0c0, 0x275ea647, 0x2758abb6, 0x2752b10c, 0x274cb64a, 0x2746bb6f,
-    0x2740c07d, 0x273ac572,
-  0x2734ca4f, 0x272ecf14, 0x2728d3c0, 0x2722d855, 0x271cdcd1, 0x2716e136,
-    0x2710e582, 0x270ae9b6,
-  0x2704edd2, 0x26fef1d5, 0x26f8f5c1, 0x26f2f995, 0x26ecfd51, 0x26e700f5,
-    0x26e10480, 0x26db07f4,
-  0x26d50b50, 0x26cf0e94, 0x26c911c0, 0x26c314d4, 0x26bd17d0, 0x26b71ab4,
-    0x26b11d80, 0x26ab2034,
-  0x26a522d1, 0x269f2556, 0x269927c3, 0x26932a18, 0x268d2c55, 0x26872e7b,
-    0x26813088, 0x267b327e,
-  0x2675345d, 0x266f3623, 0x266937d2, 0x26633969, 0x265d3ae9, 0x26573c50,
-    0x26513da1, 0x264b3ed9,
-  0x26453ffa, 0x263f4103, 0x263941f5, 0x263342cf, 0x262d4392, 0x2627443d,
-    0x262144d0, 0x261b454c,
-  0x261545b0, 0x260f45fd, 0x26094633, 0x26034651, 0x25fd4657, 0x25f74646,
-    0x25f1461e, 0x25eb45de,
-  0x25e54587, 0x25df4519, 0x25d94493, 0x25d343f6, 0x25cd4341, 0x25c74276,
-    0x25c14192, 0x25bb4098,
-  0x25b53f86, 0x25af3e5d, 0x25a93d1d, 0x25a33bc6, 0x259d3a57, 0x259738d1,
-    0x25913734, 0x258b3580,
-  0x258533b5, 0x257f31d2, 0x25792fd8, 0x25732dc8, 0x256d2ba0, 0x25672961,
-    0x2561270b, 0x255b249e,
-  0x2555221a, 0x254f1f7e, 0x25491ccc, 0x25431a03, 0x253d1723, 0x2537142c,
-    0x2531111e, 0x252b0df9,
-  0x25250abd, 0x251f076a, 0x25190400, 0x25130080, 0x250cfce8, 0x2506f93a,
-    0x2500f574, 0x24faf198,
-  0x24f4eda6, 0x24eee99c, 0x24e8e57c, 0x24e2e144, 0x24dcdcf6, 0x24d6d892,
-    0x24d0d416, 0x24cacf84,
-  0x24c4cadb, 0x24bec61c, 0x24b8c146, 0x24b2bc59, 0x24acb756, 0x24a6b23b,
-    0x24a0ad0b, 0x249aa7c4,
-  0x2494a266, 0x248e9cf1, 0x24889766, 0x248291c5, 0x247c8c0d, 0x2476863e,
-    0x24708059, 0x246a7a5e,
-  0x2464744c, 0x245e6e23, 0x245867e4, 0x2452618f, 0x244c5b24, 0x244654a1,
-    0x24404e09, 0x243a475a,
-  0x24344095, 0x242e39ba, 0x242832c8, 0x24222bc0, 0x241c24a1, 0x24161d6d,
-    0x24101622, 0x240a0ec1,
-  0x24040749, 0x23fdffbc, 0x23f7f818, 0x23f1f05e, 0x23ebe88e, 0x23e5e0a7,
-    0x23dfd8ab, 0x23d9d098,
-  0x23d3c86f, 0x23cdc031, 0x23c7b7dc, 0x23c1af71, 0x23bba6f0, 0x23b59e59,
-    0x23af95ac, 0x23a98ce8,
-  0x23a3840f, 0x239d7b20, 0x2397721b, 0x23916900, 0x238b5fcf, 0x23855688,
-    0x237f4d2b, 0x237943b9,
-  0x23733a30, 0x236d3092, 0x236726dd, 0x23611d13, 0x235b1333, 0x2355093e,
-    0x234eff32, 0x2348f511,
-  0x2342eada, 0x233ce08d, 0x2336d62a, 0x2330cbb2, 0x232ac124, 0x2324b680,
-    0x231eabc7, 0x2318a0f8,
-  0x23129613, 0x230c8b19, 0x23068009, 0x230074e3, 0x22fa69a8, 0x22f45e57,
-    0x22ee52f1, 0x22e84775,
-  0x22e23be4, 0x22dc303d, 0x22d62480, 0x22d018ae, 0x22ca0cc7, 0x22c400ca,
-    0x22bdf4b8, 0x22b7e890,
-  0x22b1dc53, 0x22abd001, 0x22a5c399, 0x229fb71b, 0x2299aa89, 0x22939de1,
-    0x228d9123, 0x22878451,
-  0x22817769, 0x227b6a6c, 0x22755d59, 0x226f5032, 0x226942f5, 0x226335a2,
-    0x225d283b, 0x22571abe,
-  0x22510d2d, 0x224aff86, 0x2244f1c9, 0x223ee3f8, 0x2238d612, 0x2232c816,
-    0x222cba06, 0x2226abe0,
-  0x22209da5, 0x221a8f56, 0x221480f1, 0x220e7277, 0x220863e8, 0x22025544,
-    0x21fc468b, 0x21f637be,
-  0x21f028db, 0x21ea19e3, 0x21e40ad7, 0x21ddfbb5, 0x21d7ec7f, 0x21d1dd34,
-    0x21cbcdd3, 0x21c5be5e,
-  0x21bfaed5, 0x21b99f36, 0x21b38f83, 0x21ad7fba, 0x21a76fdd, 0x21a15fec,
-    0x219b4fe5, 0x21953fca,
-  0x218f2f9a, 0x21891f55, 0x21830efc, 0x217cfe8e, 0x2176ee0b, 0x2170dd74,
-    0x216accc8, 0x2164bc08,
-  0x215eab33, 0x21589a49, 0x2152894b, 0x214c7838, 0x21466710, 0x214055d4,
-    0x213a4484, 0x2134331f,
-  0x212e21a6, 0x21281018, 0x2121fe76, 0x211becbf, 0x2115daf4, 0x210fc914,
-    0x2109b720, 0x2103a518,
-  0x20fd92fb, 0x20f780ca, 0x20f16e84, 0x20eb5c2b, 0x20e549bd, 0x20df373a,
-    0x20d924a4, 0x20d311f9,
-  0x20ccff3a, 0x20c6ec66, 0x20c0d97f, 0x20bac683, 0x20b4b373, 0x20aea04f,
-    0x20a88d17, 0x20a279ca,
-  0x209c666a, 0x209652f5, 0x20903f6c, 0x208a2bcf, 0x2084181e, 0x207e0459,
-    0x2077f080, 0x2071dc93,
-  0x206bc892, 0x2065b47d, 0x205fa054, 0x20598c17, 0x205377c6, 0x204d6361,
-    0x20474ee8, 0x20413a5b,
-  0x203b25bb, 0x20351106, 0x202efc3e, 0x2028e761, 0x2022d271, 0x201cbd6d,
-    0x2016a856, 0x2010932a,
-  0x200a7deb, 0x20046898, 0x1ffe5331, 0x1ff83db6, 0x1ff22828, 0x1fec1286,
-    0x1fe5fcd0, 0x1fdfe707,
-  0x1fd9d12a, 0x1fd3bb39, 0x1fcda535, 0x1fc78f1d, 0x1fc178f1, 0x1fbb62b2,
-    0x1fb54c60, 0x1faf35f9,
-  0x1fa91f80, 0x1fa308f2, 0x1f9cf252, 0x1f96db9d, 0x1f90c4d5, 0x1f8aadfa,
-    0x1f84970b, 0x1f7e8009,
-  0x1f7868f4, 0x1f7251ca, 0x1f6c3a8e, 0x1f66233e, 0x1f600bdb, 0x1f59f465,
-    0x1f53dcdb, 0x1f4dc53d,
-  0x1f47ad8d, 0x1f4195c9, 0x1f3b7df2, 0x1f356608, 0x1f2f4e0a, 0x1f2935f9,
-    0x1f231dd5, 0x1f1d059e,
-  0x1f16ed54, 0x1f10d4f6, 0x1f0abc85, 0x1f04a401, 0x1efe8b6a, 0x1ef872c0,
-    0x1ef25a03, 0x1eec4132,
-  0x1ee6284f, 0x1ee00f58, 0x1ed9f64f, 0x1ed3dd32, 0x1ecdc402, 0x1ec7aac0,
-    0x1ec1916a, 0x1ebb7802,
-  0x1eb55e86, 0x1eaf44f8, 0x1ea92b56, 0x1ea311a2, 0x1e9cf7db, 0x1e96de01,
-    0x1e90c414, 0x1e8aaa14,
-  0x1e849001, 0x1e7e75dc, 0x1e785ba3, 0x1e724158, 0x1e6c26fa, 0x1e660c8a,
-    0x1e5ff206, 0x1e59d770,
-  0x1e53bcc7, 0x1e4da20c, 0x1e47873d, 0x1e416c5d, 0x1e3b5169, 0x1e353663,
-    0x1e2f1b4a, 0x1e29001e,
-  0x1e22e4e0, 0x1e1cc990, 0x1e16ae2c, 0x1e1092b6, 0x1e0a772e, 0x1e045b93,
-    0x1dfe3fe6, 0x1df82426,
-  0x1df20853, 0x1debec6f, 0x1de5d077, 0x1ddfb46e, 0x1dd99851, 0x1dd37c23,
-    0x1dcd5fe2, 0x1dc7438e,
-  0x1dc12729, 0x1dbb0ab0, 0x1db4ee26, 0x1daed189, 0x1da8b4da, 0x1da29819,
-    0x1d9c7b45, 0x1d965e5f,
-  0x1d904167, 0x1d8a245c, 0x1d840740, 0x1d7dea11, 0x1d77ccd0, 0x1d71af7d,
-    0x1d6b9217, 0x1d6574a0,
-  0x1d5f5716, 0x1d59397a, 0x1d531bcc, 0x1d4cfe0d, 0x1d46e03a, 0x1d40c256,
-    0x1d3aa460, 0x1d348658,
-  0x1d2e683e, 0x1d284a12, 0x1d222bd3, 0x1d1c0d83, 0x1d15ef21, 0x1d0fd0ad,
-    0x1d09b227, 0x1d03938f,
-  0x1cfd74e5, 0x1cf7562a, 0x1cf1375c, 0x1ceb187d, 0x1ce4f98c, 0x1cdeda89,
-    0x1cd8bb74, 0x1cd29c4d,
-  0x1ccc7d15, 0x1cc65dca, 0x1cc03e6e, 0x1cba1f01, 0x1cb3ff81, 0x1caddff0,
-    0x1ca7c04d, 0x1ca1a099,
-  0x1c9b80d3, 0x1c9560fb, 0x1c8f4112, 0x1c892117, 0x1c83010a, 0x1c7ce0ec,
-    0x1c76c0bc, 0x1c70a07b,
-  0x1c6a8028, 0x1c645fc3, 0x1c5e3f4d, 0x1c581ec6, 0x1c51fe2d, 0x1c4bdd83,
-    0x1c45bcc7, 0x1c3f9bf9,
-  0x1c397b1b, 0x1c335a2b, 0x1c2d3929, 0x1c271816, 0x1c20f6f2, 0x1c1ad5bc,
-    0x1c14b475, 0x1c0e931d,
-  0x1c0871b4, 0x1c025039, 0x1bfc2ead, 0x1bf60d0f, 0x1befeb60, 0x1be9c9a1,
-    0x1be3a7cf, 0x1bdd85ed,
-  0x1bd763fa, 0x1bd141f5, 0x1bcb1fdf, 0x1bc4fdb8, 0x1bbedb80, 0x1bb8b937,
-    0x1bb296dc, 0x1bac7471,
-  0x1ba651f5, 0x1ba02f67, 0x1b9a0cc8, 0x1b93ea19, 0x1b8dc758, 0x1b87a487,
-    0x1b8181a4, 0x1b7b5eb0,
-  0x1b753bac, 0x1b6f1897, 0x1b68f570, 0x1b62d239, 0x1b5caef1, 0x1b568b98,
-    0x1b50682e, 0x1b4a44b3,
-  0x1b442127, 0x1b3dfd8b, 0x1b37d9de, 0x1b31b620, 0x1b2b9251, 0x1b256e71,
-    0x1b1f4a81, 0x1b192680,
-  0x1b13026e, 0x1b0cde4c, 0x1b06ba19, 0x1b0095d5, 0x1afa7180, 0x1af44d1b,
-    0x1aee28a6, 0x1ae8041f,
-  0x1ae1df88, 0x1adbbae1, 0x1ad59629, 0x1acf7160, 0x1ac94c87, 0x1ac3279d,
-    0x1abd02a3, 0x1ab6dd98,
-  0x1ab0b87d, 0x1aaa9352, 0x1aa46e16, 0x1a9e48c9, 0x1a98236c, 0x1a91fdff,
-    0x1a8bd881, 0x1a85b2f3,
-  0x1a7f8d54, 0x1a7967a6, 0x1a7341e6, 0x1a6d1c17, 0x1a66f637, 0x1a60d047,
-    0x1a5aaa47, 0x1a548436,
-  0x1a4e5e15, 0x1a4837e4, 0x1a4211a3, 0x1a3beb52, 0x1a35c4f0, 0x1a2f9e7e,
-    0x1a2977fc, 0x1a23516a,
-  0x1a1d2ac8, 0x1a170416, 0x1a10dd53, 0x1a0ab681, 0x1a048f9e, 0x19fe68ac,
-    0x19f841a9, 0x19f21a96,
-  0x19ebf374, 0x19e5cc41, 0x19dfa4fe, 0x19d97dac, 0x19d35649, 0x19cd2ed7,
-    0x19c70754, 0x19c0dfc2,
-  0x19bab820, 0x19b4906e, 0x19ae68ac, 0x19a840da, 0x19a218f9, 0x199bf107,
-    0x1995c906, 0x198fa0f5,
-  0x198978d4, 0x198350a4, 0x197d2864, 0x19770014, 0x1970d7b4, 0x196aaf45,
-    0x196486c6, 0x195e5e37,
-  0x19583599, 0x19520ceb, 0x194be42d, 0x1945bb60, 0x193f9283, 0x19396997,
-    0x1933409b, 0x192d178f,
-  0x1926ee74, 0x1920c54a, 0x191a9c10, 0x191472c6, 0x190e496d, 0x19082005,
-    0x1901f68d, 0x18fbcd06,
-  0x18f5a36f, 0x18ef79c9, 0x18e95014, 0x18e3264f, 0x18dcfc7b, 0x18d6d297,
-    0x18d0a8a4, 0x18ca7ea2,
-  0x18c45491, 0x18be2a70, 0x18b80040, 0x18b1d601, 0x18ababb2, 0x18a58154,
-    0x189f56e8, 0x18992c6b,
-  0x189301e0, 0x188cd746, 0x1886ac9c, 0x188081e4, 0x187a571c, 0x18742c45,
-    0x186e015f, 0x1867d66a,
-  0x1861ab66, 0x185b8053, 0x18555530, 0x184f29ff, 0x1848febf, 0x1842d370,
-    0x183ca812, 0x18367ca5,
-  0x18305129, 0x182a259e, 0x1823fa04, 0x181dce5b, 0x1817a2a4, 0x181176dd,
-    0x180b4b08, 0x18051f24,
-  0x17fef331, 0x17f8c72f, 0x17f29b1e, 0x17ec6eff, 0x17e642d1, 0x17e01694,
-    0x17d9ea49, 0x17d3bdee,
-  0x17cd9186, 0x17c7650e, 0x17c13888, 0x17bb0bf3, 0x17b4df4f, 0x17aeb29d,
-    0x17a885dc, 0x17a2590d,
-  0x179c2c2f, 0x1795ff42, 0x178fd247, 0x1789a53d, 0x17837825, 0x177d4afe,
-    0x17771dc9, 0x1770f086,
-  0x176ac333, 0x176495d3, 0x175e6864, 0x17583ae7, 0x17520d5b, 0x174bdfc1,
-    0x1745b218, 0x173f8461,
-  0x1739569c, 0x173328c8, 0x172cfae6, 0x1726ccf6, 0x17209ef8, 0x171a70eb,
-    0x171442d0, 0x170e14a7,
-  0x1707e670, 0x1701b82a, 0x16fb89d6, 0x16f55b74, 0x16ef2d04, 0x16e8fe86,
-    0x16e2cff9, 0x16dca15f,
-  0x16d672b6, 0x16d043ff, 0x16ca153a, 0x16c3e667, 0x16bdb787, 0x16b78898,
-    0x16b1599b, 0x16ab2a90,
-  0x16a4fb77, 0x169ecc50, 0x16989d1b, 0x16926dd8, 0x168c3e87, 0x16860f29,
-    0x167fdfbc, 0x1679b042,
-  0x167380ba, 0x166d5123, 0x1667217f, 0x1660f1ce, 0x165ac20e, 0x16549241,
-    0x164e6266, 0x1648327d,
-  0x16420286, 0x163bd282, 0x1635a270, 0x162f7250, 0x16294222, 0x162311e7,
-    0x161ce19e, 0x1616b148,
-  0x161080e4, 0x160a5072, 0x16041ff3, 0x15fdef66, 0x15f7becc, 0x15f18e24,
-    0x15eb5d6e, 0x15e52cab,
-  0x15defbdb, 0x15d8cafd, 0x15d29a11, 0x15cc6918, 0x15c63812, 0x15c006fe,
-    0x15b9d5dd, 0x15b3a4ae,
-  0x15ad7372, 0x15a74228, 0x15a110d2, 0x159adf6e, 0x1594adfc, 0x158e7c7d,
-    0x15884af1, 0x15821958,
-  0x157be7b1, 0x1575b5fe, 0x156f843c, 0x1569526e, 0x15632093, 0x155ceeaa,
-    0x1556bcb4, 0x15508ab1,
-  0x154a58a1, 0x15442683, 0x153df459, 0x1537c221, 0x15318fdd, 0x152b5d8b,
-    0x15252b2c, 0x151ef8c0,
-  0x1518c648, 0x151293c2, 0x150c612f, 0x15062e8f, 0x14fffbe2, 0x14f9c928,
-    0x14f39662, 0x14ed638e,
-  0x14e730ae, 0x14e0fdc0, 0x14dacac6, 0x14d497bf, 0x14ce64ab, 0x14c8318a,
-    0x14c1fe5c, 0x14bbcb22,
-  0x14b597da, 0x14af6486, 0x14a93125, 0x14a2fdb8, 0x149cca3e, 0x149696b7,
-    0x14906323, 0x148a2f82,
-  0x1483fbd5, 0x147dc81c, 0x14779455, 0x14716082, 0x146b2ca3, 0x1464f8b7,
-    0x145ec4be, 0x145890b9,
-  0x14525ca7, 0x144c2888, 0x1445f45d, 0x143fc026, 0x14398be2, 0x14335792,
-    0x142d2335, 0x1426eecb,
-  0x1420ba56, 0x141a85d3, 0x14145145, 0x140e1caa, 0x1407e803, 0x1401b34f,
-    0x13fb7e8f, 0x13f549c3,
-  0x13ef14ea, 0x13e8e005, 0x13e2ab14, 0x13dc7616, 0x13d6410d, 0x13d00bf7,
-    0x13c9d6d4, 0x13c3a1a6,
-  0x13bd6c6b, 0x13b73725, 0x13b101d2, 0x13aacc73, 0x13a49707, 0x139e6190,
-    0x13982c0d, 0x1391f67d,
-  0x138bc0e1, 0x13858b3a, 0x137f5586, 0x13791fc6, 0x1372e9fb, 0x136cb423,
-    0x13667e3f, 0x13604850,
-  0x135a1254, 0x1353dc4c, 0x134da639, 0x1347701a, 0x134139ee, 0x133b03b7,
-    0x1334cd74, 0x132e9725,
-  0x132860ca, 0x13222a64, 0x131bf3f2, 0x1315bd73, 0x130f86ea, 0x13095054,
-    0x130319b3, 0x12fce305,
-  0x12f6ac4d, 0x12f07588, 0x12ea3eb8, 0x12e407dc, 0x12ddd0f4, 0x12d79a01,
-    0x12d16303, 0x12cb2bf8,
-  0x12c4f4e2, 0x12bebdc1, 0x12b88693, 0x12b24f5b, 0x12ac1817, 0x12a5e0c7,
-    0x129fa96c, 0x12997205,
-  0x12933a93, 0x128d0315, 0x1286cb8c, 0x128093f7, 0x127a5c57, 0x127424ac,
-    0x126decf5, 0x1267b533,
-  0x12617d66, 0x125b458d, 0x12550da9, 0x124ed5ba, 0x12489dbf, 0x124265b9,
-    0x123c2da8, 0x1235f58b,
-  0x122fbd63, 0x12298530, 0x12234cf2, 0x121d14a9, 0x1216dc54, 0x1210a3f5,
-    0x120a6b8a, 0x12043314,
-  0x11fdfa93, 0x11f7c207, 0x11f18970, 0x11eb50cd, 0x11e51820, 0x11dedf68,
-    0x11d8a6a4, 0x11d26dd6,
-  0x11cc34fc, 0x11c5fc18, 0x11bfc329, 0x11b98a2e, 0x11b35129, 0x11ad1819,
-    0x11a6defe, 0x11a0a5d8,
-  0x119a6ca7, 0x1194336b, 0x118dfa25, 0x1187c0d3, 0x11818777, 0x117b4e10,
-    0x1175149e, 0x116edb22,
-  0x1168a19b, 0x11626809, 0x115c2e6c, 0x1155f4c4, 0x114fbb12, 0x11498156,
-    0x1143478e, 0x113d0dbc,
-  0x1136d3df, 0x113099f8, 0x112a6006, 0x11242609, 0x111dec02, 0x1117b1f0,
-    0x111177d4, 0x110b3dad,
-  0x1105037c, 0x10fec940, 0x10f88efa, 0x10f254a9, 0x10ec1a4e, 0x10e5dfe8,
-    0x10dfa578, 0x10d96afe,
-  0x10d33079, 0x10ccf5ea, 0x10c6bb50, 0x10c080ac, 0x10ba45fe, 0x10b40b45,
-    0x10add082, 0x10a795b5,
-  0x10a15ade, 0x109b1ffc, 0x1094e510, 0x108eaa1a, 0x10886f19, 0x1082340f,
-    0x107bf8fa, 0x1075bddb,
-  0x106f82b2, 0x1069477f, 0x10630c41, 0x105cd0fa, 0x105695a8, 0x10505a4d,
-    0x104a1ee7, 0x1043e377,
-  0x103da7fd, 0x10376c79, 0x103130ec, 0x102af554, 0x1024b9b2, 0x101e7e06,
-    0x10184251, 0x10120691,
-  0x100bcac7, 0x10058ef4, 0xfff5317, 0xff91730, 0xff2db3e, 0xfec9f44,
-    0xfe6633f, 0xfe02730,
-  0xfd9eb18, 0xfd3aef6, 0xfcd72ca, 0xfc73695, 0xfc0fa55, 0xfbabe0c, 0xfb481ba,
-    0xfae455d,
-  0xfa808f7, 0xfa1cc87, 0xf9b900e, 0xf95538b, 0xf8f16fe, 0xf88da68, 0xf829dc8,
-    0xf7c611f,
-  0xf76246c, 0xf6fe7af, 0xf69aae9, 0xf636e1a, 0xf5d3141, 0xf56f45e, 0xf50b773,
-    0xf4a7a7d,
-  0xf443d7e, 0xf3e0076, 0xf37c365, 0xf318649, 0xf2b4925, 0xf250bf7, 0xf1ecec0,
-    0xf189180,
-  0xf125436, 0xf0c16e3, 0xf05d987, 0xeff9c21, 0xef95eb2, 0xef3213a, 0xeece3b9,
-    0xee6a62f,
-  0xee0689b, 0xeda2afe, 0xed3ed58, 0xecdafa9, 0xec771f1, 0xec1342f, 0xebaf665,
-    0xeb4b891,
-  0xeae7ab4, 0xea83ccf, 0xea1fee0, 0xe9bc0e8, 0xe9582e7, 0xe8f44dd, 0xe8906cb,
-    0xe82c8af,
-  0xe7c8a8a, 0xe764c5c, 0xe700e26, 0xe69cfe6, 0xe63919e, 0xe5d534d, 0xe5714f3,
-    0xe50d690,
-  0xe4a9824, 0xe4459af, 0xe3e1b32, 0xe37dcac, 0xe319e1d, 0xe2b5f85, 0xe2520e5,
-    0xe1ee23c,
-  0xe18a38a, 0xe1264cf, 0xe0c260c, 0xe05e740, 0xdffa86b, 0xdf9698e, 0xdf32aa8,
-    0xdecebba,
-  0xde6acc3, 0xde06dc3, 0xdda2ebb, 0xdd3efab, 0xdcdb091, 0xdc77170, 0xdc13245,
-    0xdbaf313,
-  0xdb4b3d7, 0xdae7494, 0xda83548, 0xda1f5f3, 0xd9bb696, 0xd957731, 0xd8f37c3,
-    0xd88f84d,
-  0xd82b8cf, 0xd7c7948, 0xd7639b9, 0xd6ffa22, 0xd69ba82, 0xd637ada, 0xd5d3b2a,
-    0xd56fb71,
-  0xd50bbb1, 0xd4a7be8, 0xd443c17, 0xd3dfc3e, 0xd37bc5c, 0xd317c73, 0xd2b3c81,
-    0xd24fc87,
-  0xd1ebc85, 0xd187c7b, 0xd123c69, 0xd0bfc4f, 0xd05bc2d, 0xcff7c02, 0xcf93bd0,
-    0xcf2fb96,
-  0xcecbb53, 0xce67b09, 0xce03ab7, 0xcd9fa5d, 0xcd3b9fb, 0xccd7991, 0xcc7391f,
-    0xcc0f8a5,
-  0xcbab824, 0xcb4779a, 0xcae3709, 0xca7f670, 0xca1b5cf, 0xc9b7526, 0xc953475,
-    0xc8ef3bd,
-  0xc88b2fd, 0xc827235, 0xc7c3166, 0xc75f08f, 0xc6fafb0, 0xc696ec9, 0xc632ddb,
-    0xc5cece5,
-  0xc56abe8, 0xc506ae3, 0xc4a29d6, 0xc43e8c2, 0xc3da7a6, 0xc376683, 0xc312558,
-    0xc2ae425,
-  0xc24a2eb, 0xc1e61aa, 0xc182061, 0xc11df11, 0xc0b9db9, 0xc055c5a, 0xbff1af3,
-    0xbf8d985,
-  0xbf29810, 0xbec5693, 0xbe6150f, 0xbdfd383, 0xbd991f0, 0xbd35056, 0xbcd0eb5,
-    0xbc6cd0c,
-  0xbc08b5c, 0xbba49a5, 0xbb407e7, 0xbadc621, 0xba78454, 0xba14280, 0xb9b00a5,
-    0xb94bec2,
-  0xb8e7cd9, 0xb883ae8, 0xb81f8f0, 0xb7bb6f2, 0xb7574ec, 0xb6f32df, 0xb68f0cb,
-    0xb62aeaf,
-  0xb5c6c8d, 0xb562a64, 0xb4fe834, 0xb49a5fd, 0xb4363bf, 0xb3d217a, 0xb36df2e,
-    0xb309cdb,
-  0xb2a5a81, 0xb241820, 0xb1dd5b9, 0xb17934b, 0xb1150d5, 0xb0b0e59, 0xb04cbd6,
-    0xafe894d,
-  0xaf846bc, 0xaf20425, 0xaebc187, 0xae57ee2, 0xadf3c37, 0xad8f985, 0xad2b6cc,
-    0xacc740c,
-  0xac63146, 0xabfee79, 0xab9aba6, 0xab368cc, 0xaad25eb, 0xaa6e304, 0xaa0a016,
-    0xa9a5d22,
-  0xa941a27, 0xa8dd725, 0xa87941d, 0xa81510f, 0xa7b0dfa, 0xa74cadf, 0xa6e87bd,
-    0xa684495,
-  0xa620166, 0xa5bbe31, 0xa557af5, 0xa4f37b3, 0xa48f46b, 0xa42b11d, 0xa3c6dc8,
-    0xa362a6d,
-  0xa2fe70b, 0xa29a3a3, 0xa236035, 0xa1d1cc1, 0xa16d946, 0xa1095c6, 0xa0a523f,
-    0xa040eb1,
-  0x9fdcb1e, 0x9f78784, 0x9f143e5, 0x9eb003f, 0x9e4bc93, 0x9de78e1, 0x9d83529,
-    0x9d1f16b,
-  0x9cbada7, 0x9c569dc, 0x9bf260c, 0x9b8e236, 0x9b29e59, 0x9ac5a77, 0x9a6168f,
-    0x99fd2a0,
-  0x9998eac, 0x9934ab2, 0x98d06b2, 0x986c2ac, 0x9807ea1, 0x97a3a8f, 0x973f678,
-    0x96db25a,
-  0x9676e37, 0x9612a0e, 0x95ae5e0, 0x954a1ab, 0x94e5d71, 0x9481931, 0x941d4eb,
-    0x93b90a0,
-  0x9354c4f, 0x92f07f8, 0x928c39b, 0x9227f39, 0x91c3ad2, 0x915f664, 0x90fb1f1,
-    0x9096d79,
-  0x90328fb, 0x8fce477, 0x8f69fee, 0x8f05b5f, 0x8ea16cb, 0x8e3d231, 0x8dd8d92,
-    0x8d748ed,
-  0x8d10443, 0x8cabf93, 0x8c47ade, 0x8be3624, 0x8b7f164, 0x8b1ac9f, 0x8ab67d4,
-    0x8a52304,
-  0x89ede2f, 0x8989955, 0x8925475, 0x88c0f90, 0x885caa5, 0x87f85b5, 0x87940c1,
-    0x872fbc6,
-  0x86cb6c7, 0x86671c2, 0x8602cb9, 0x859e7aa, 0x853a296, 0x84d5d7d, 0x847185e,
-    0x840d33b,
-  0x83a8e12, 0x83448e5, 0x82e03b2, 0x827be7a, 0x821793e, 0x81b33fc, 0x814eeb5,
-    0x80ea969,
-  0x8086419, 0x8021ec3, 0x7fbd968, 0x7f59409, 0x7ef4ea4, 0x7e9093b, 0x7e2c3cd,
-    0x7dc7e5a,
-  0x7d638e2, 0x7cff365, 0x7c9ade4, 0x7c3685d, 0x7bd22d2, 0x7b6dd42, 0x7b097ad,
-    0x7aa5214,
-  0x7a40c76, 0x79dc6d3, 0x797812b, 0x7913b7f, 0x78af5ce, 0x784b019, 0x77e6a5e,
-    0x77824a0,
-  0x771dedc, 0x76b9914, 0x7655347, 0x75f0d76, 0x758c7a1, 0x75281c6, 0x74c3be7,
-    0x745f604,
-  0x73fb01c, 0x7396a30, 0x733243f, 0x72cde4a, 0x7269851, 0x7205253, 0x71a0c50,
-    0x713c64a,
-  0x70d803f, 0x7073a2f, 0x700f41b, 0x6faae03, 0x6f467e7, 0x6ee21c6, 0x6e7dba1,
-    0x6e19578,
-  0x6db4f4a, 0x6d50919, 0x6cec2e3, 0x6c87ca9, 0x6c2366a, 0x6bbf028, 0x6b5a9e1,
-    0x6af6396,
-  0x6a91d47, 0x6a2d6f4, 0x69c909d, 0x6964a42, 0x69003e3, 0x689bd80, 0x6837718,
-    0x67d30ad,
-  0x676ea3d, 0x670a3ca, 0x66a5d53, 0x66416d8, 0x65dd058, 0x65789d5, 0x651434e,
-    0x64afcc3,
-  0x644b634, 0x63e6fa2, 0x638290b, 0x631e271, 0x62b9bd3, 0x6255531, 0x61f0e8b,
-    0x618c7e1,
-  0x6128134, 0x60c3a83, 0x605f3ce, 0x5ffad15, 0x5f96659, 0x5f31f99, 0x5ecd8d6,
-    0x5e6920e,
-  0x5e04b43, 0x5da0475, 0x5d3bda3, 0x5cd76cd, 0x5c72ff4, 0x5c0e917, 0x5baa237,
-    0x5b45b53,
-  0x5ae146b, 0x5a7cd80, 0x5a18692, 0x59b3fa0, 0x594f8aa, 0x58eb1b2, 0x5886ab5,
-    0x58223b6,
-  0x57bdcb3, 0x57595ac, 0x56f4ea2, 0x5690795, 0x562c085, 0x55c7971, 0x556325a,
-    0x54feb3f,
-  0x549a422, 0x5435d01, 0x53d15dd, 0x536ceb5, 0x530878a, 0x52a405d, 0x523f92c,
-    0x51db1f7,
-  0x5176ac0, 0x5112385, 0x50adc48, 0x5049507, 0x4fe4dc3, 0x4f8067c, 0x4f1bf32,
-    0x4eb77e5,
-  0x4e53095, 0x4dee942, 0x4d8a1ec, 0x4d25a93, 0x4cc1337, 0x4c5cbd8, 0x4bf8476,
-    0x4b93d11,
-  0x4b2f5a9, 0x4acae3e, 0x4a666d1, 0x4a01f60, 0x499d7ed, 0x4939077, 0x48d48fe,
-    0x4870182,
-  0x480ba04, 0x47a7282, 0x4742afe, 0x46de377, 0x4679bee, 0x4615461, 0x45b0cd2,
-    0x454c541,
-  0x44e7dac, 0x4483615, 0x441ee7c, 0x43ba6df, 0x4355f40, 0x42f179f, 0x428cffb,
-    0x4228854,
-  0x41c40ab, 0x415f8ff, 0x40fb151, 0x40969a0, 0x40321ed, 0x3fcda37, 0x3f6927f,
-    0x3f04ac4,
-  0x3ea0307, 0x3e3bb48, 0x3dd7386, 0x3d72bc2, 0x3d0e3fb, 0x3ca9c32, 0x3c45467,
-    0x3be0c99,
-  0x3b7c4c9, 0x3b17cf7, 0x3ab3523, 0x3a4ed4c, 0x39ea573, 0x3985d97, 0x39215ba,
-    0x38bcdda,
-  0x38585f8, 0x37f3e14, 0x378f62e, 0x372ae46, 0x36c665b, 0x3661e6f, 0x35fd680,
-    0x3598e8f,
-  0x353469c, 0x34cfea8, 0x346b6b1, 0x3406eb8, 0x33a26bd, 0x333dec0, 0x32d96c1,
-    0x3274ec0,
-  0x32106bd, 0x31abeb9, 0x31476b2, 0x30e2ea9, 0x307e69f, 0x3019e93, 0x2fb5684,
-    0x2f50e74,
-  0x2eec663, 0x2e87e4f, 0x2e2363a, 0x2dbee22, 0x2d5a609, 0x2cf5def, 0x2c915d2,
-    0x2c2cdb4,
-  0x2bc8594, 0x2b63d73, 0x2aff54f, 0x2a9ad2a, 0x2a36504, 0x29d1cdc, 0x296d4b2,
-    0x2908c87,
-  0x28a445a, 0x283fc2b, 0x27db3fb, 0x2776bc9, 0x2712396, 0x26adb62, 0x264932b,
-    0x25e4af4,
-  0x25802bb, 0x251ba80, 0x24b7244, 0x2452a07, 0x23ee1c8, 0x2389988, 0x2325147,
-    0x22c0904,
-  0x225c0bf, 0x21f787a, 0x2193033, 0x212e7eb, 0x20c9fa1, 0x2065757, 0x2000f0b,
-    0x1f9c6be,
-  0x1f37e6f, 0x1ed3620, 0x1e6edcf, 0x1e0a57d, 0x1da5d2a, 0x1d414d6, 0x1cdcc80,
-    0x1c7842a,
-  0x1c13bd2, 0x1baf37a, 0x1b4ab20, 0x1ae62c5, 0x1a81a69, 0x1a1d20c, 0x19b89ae,
-    0x1954150,
-  0x18ef8f0, 0x188b08f, 0x182682d, 0x17c1fcb, 0x175d767, 0x16f8f03, 0x169469d,
-    0x162fe37,
-  0x15cb5d0, 0x1566d68, 0x15024ff, 0x149dc96, 0x143942b, 0x13d4bc0, 0x1370354,
-    0x130bae7,
-  0x12a727a, 0x1242a0c, 0x11de19d, 0x117992e, 0x11150be, 0x10b084d, 0x104bfdb,
-    0xfe7769,
-  0xf82ef6, 0xf1e683, 0xeb9e0f, 0xe5559b, 0xdf0d26, 0xd8c4b0, 0xd27c3a,
-    0xcc33c3,
-  0xc5eb4c, 0xbfa2d5, 0xb95a5d, 0xb311e4, 0xacc96b, 0xa680f2, 0xa03878,
-    0x99effe,
-  0x93a784, 0x8d5f09, 0x87168e, 0x80ce12, 0x7a8597, 0x743d1a, 0x6df49e,
-    0x67ac21,
-  0x6163a5, 0x5b1b27, 0x54d2aa, 0x4e8a2c, 0x4841af, 0x41f931, 0x3bb0b3,
-    0x356835,
-  0x2f1fb6, 0x28d738, 0x228eb9, 0x1c463b, 0x15fdbc, 0xfb53d, 0x96cbe, 0x3243f,
-
-};
-
-/**    
- * @brief  Initialization function for the Q31 DCT4/IDCT4.   
- * @param[in,out] *S         points to an instance of Q31 DCT4/IDCT4 structure.   
- * @param[in]     *S_RFFT    points to an instance of Q31 RFFT/RIFFT structure   
- * @param[in]     *S_CFFT    points to an instance of Q31 CFFT/CIFFT structure   
- * @param[in]     N          length of the DCT4.   
- * @param[in]     Nby2       half of the length of the DCT4.   
- * @param[in]     normalize  normalizing factor.   
- * @return		  arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if N is not a supported transform length.   
- * \par Normalizing factor:    
- * The normalizing factor is sqrt(2/N), which depends on the size of transform N.    
- * Normalizing factors in 1.31 format are mentioned in the table below for different DCT sizes:    
- * \image html dct4NormalizingQ31Table.gif    
- */
-
-arm_status arm_dct4_init_q31(
-  arm_dct4_instance_q31 * S,
-  arm_rfft_instance_q31 * S_RFFT,
-  arm_cfft_radix4_instance_q31 * S_CFFT,
-  uint16_t N,
-  uint16_t Nby2,
-  q31_t normalize)
-{
-  /*  Initialise the default arm status */
-  arm_status status = ARM_MATH_SUCCESS;
-
-  /* Initializing the pointer array with the weight table base addresses of different lengths */
-  q31_t *twiddlePtr[4] = { (q31_t *) WeightsQ31_128, (q31_t *) WeightsQ31_512,
-    (q31_t *) WeightsQ31_2048, (q31_t *) WeightsQ31_8192
-  };
-
-  /* Initializing the pointer array with the cos factor table base addresses of different lengths */
-  q31_t *pCosFactor[4] =
-    { (q31_t *) cos_factorsQ31_128, (q31_t *) cos_factorsQ31_512,
-    (q31_t *) cos_factorsQ31_2048, (q31_t *) cos_factorsQ31_8192
-  };
-
-  /* Initialize the DCT4 length */
-  S->N = N;
-
-  /* Initialize the half of DCT4 length */
-  S->Nby2 = Nby2;
-
-  /* Initialize the DCT4 Normalizing factor */
-  S->normalize = normalize;
-
-  /* Initialize Real FFT Instance */
-  S->pRfft = S_RFFT;
-
-  /* Initialize Complex FFT Instance */
-  S->pCfft = S_CFFT;
-
-  switch (N)
-  {
-    /* Initialize the table modifier values */
-  case 8192u:
-    S->pTwiddle = twiddlePtr[3];
-    S->pCosFactor = pCosFactor[3];
-    break;
-  case 2048u:
-    S->pTwiddle = twiddlePtr[2];
-    S->pCosFactor = pCosFactor[2];
-    break;
-  case 512u:
-    S->pTwiddle = twiddlePtr[1];
-    S->pCosFactor = pCosFactor[1];
-    break;
-  case 128u:
-    S->pTwiddle = twiddlePtr[0];
-    S->pCosFactor = pCosFactor[0];
-    break;
-  default:
-    status = ARM_MATH_ARGUMENT_ERROR;
-  }
-
-  /* Initialize the RFFT/RIFFT Function */
-  arm_rfft_init_q31(S->pRfft, S->pCfft, S->N, 0, 1);
-
-  /* return the status of DCT4 Init function */
-  return (status);
-}
-
-/**    
-   * @} end of DCT4_IDCT4 group    
-   */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_dct4_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_dct4_q15.c
deleted file mode 100644
index feaa2ae3c..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_dct4_q15.c
+++ /dev/null
@@ -1,386 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_dct4_q15.c    
-*    
-* Description:	Processing function of DCT4 & IDCT4 Q15.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @addtogroup DCT4_IDCT4    
- * @{    
- */
-
-/**    
- * @brief Processing function for the Q15 DCT4/IDCT4.   
- * @param[in]       *S             points to an instance of the Q15 DCT4 structure.   
- * @param[in]       *pState        points to state buffer.   
- * @param[in,out]   *pInlineBuffer points to the in-place input and output buffer.   
- * @return none.   
- *     
- * \par Input an output formats:    
- * Internally inputs are downscaled in the RFFT process function to avoid overflows.    
- * Number of bits downscaled, depends on the size of the transform.    
- * The input and output formats for different DCT sizes and number of bits to upscale are mentioned in the table below:     
- *    
- * \image html dct4FormatsQ15Table.gif    
- */
-
-void arm_dct4_q15(
-  const arm_dct4_instance_q15 * S,
-  q15_t * pState,
-  q15_t * pInlineBuffer)
-{
-  uint32_t i;                                    /* Loop counter */
-  q15_t *weights = S->pTwiddle;                  /* Pointer to the Weights table */
-  q15_t *cosFact = S->pCosFactor;                /* Pointer to the cos factors table */
-  q15_t *pS1, *pS2, *pbuff;                      /* Temporary pointers for input buffer and pState buffer */
-  q15_t in;                                      /* Temporary variable */
-
-
-  /* DCT4 computation involves DCT2 (which is calculated using RFFT)    
-   * along with some pre-processing and post-processing.    
-   * Computational procedure is explained as follows:    
-   * (a) Pre-processing involves multiplying input with cos factor,    
-   *     r(n) = 2 * u(n) * cos(pi*(2*n+1)/(4*n))    
-   *              where,    
-   *                 r(n) -- output of preprocessing    
-   *                 u(n) -- input to preprocessing(actual Source buffer)    
-   * (b) Calculation of DCT2 using FFT is divided into three steps:    
-   *                  Step1: Re-ordering of even and odd elements of input.    
-   *                  Step2: Calculating FFT of the re-ordered input.    
-   *                  Step3: Taking the real part of the product of FFT output and weights.    
-   * (c) Post-processing - DCT4 can be obtained from DCT2 output using the following equation:    
-   *                   Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)    
-   *                        where,    
-   *                           Y4 -- DCT4 output,   Y2 -- DCT2 output    
-   * (d) Multiplying the output with the normalizing factor sqrt(2/N).    
-   */
-
-        /*-------- Pre-processing ------------*/
-  /* Multiplying input with cos factor i.e. r(n) = 2 * x(n) * cos(pi*(2*n+1)/(4*n)) */
-  arm_mult_q15(pInlineBuffer, cosFact, pInlineBuffer, S->N);
-  arm_shift_q15(pInlineBuffer, 1, pInlineBuffer, S->N);
-
-  /* ----------------------------------------------------------------    
-   * Step1: Re-ordering of even and odd elements as    
-   *             pState[i] =  pInlineBuffer[2*i] and    
-   *             pState[N-i-1] = pInlineBuffer[2*i+1] where i = 0 to N/2    
-   ---------------------------------------------------------------------*/
-
-  /* pS1 initialized to pState */
-  pS1 = pState;
-
-  /* pS2 initialized to pState+N-1, so that it points to the end of the state buffer */
-  pS2 = pState + (S->N - 1u);
-
-  /* pbuff initialized to input buffer */
-  pbuff = pInlineBuffer;
-
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /* Initializing the loop counter to N/2 >> 2 for loop unrolling by 4 */
-  i = (uint32_t) S->Nby2 >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  do
-  {
-    /* Re-ordering of even and odd elements */
-    /* pState[i] =  pInlineBuffer[2*i] */
-    *pS1++ = *pbuff++;
-    /* pState[N-i-1] = pInlineBuffer[2*i+1] */
-    *pS2-- = *pbuff++;
-
-    *pS1++ = *pbuff++;
-    *pS2-- = *pbuff++;
-
-    *pS1++ = *pbuff++;
-    *pS2-- = *pbuff++;
-
-    *pS1++ = *pbuff++;
-    *pS2-- = *pbuff++;
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-  /* pbuff initialized to input buffer */
-  pbuff = pInlineBuffer;
-
-  /* pS1 initialized to pState */
-  pS1 = pState;
-
-  /* Initializing the loop counter to N/4 instead of N for loop unrolling */
-  i = (uint32_t) S->N >> 2u;
-
-  /* Processing with loop unrolling 4 times as N is always multiple of 4.    
-   * Compute 4 outputs at a time */
-  do
-  {
-    /* Writing the re-ordered output back to inplace input buffer */
-    *pbuff++ = *pS1++;
-    *pbuff++ = *pS1++;
-    *pbuff++ = *pS1++;
-    *pbuff++ = *pS1++;
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-
-  /* ---------------------------------------------------------    
-   *     Step2: Calculate RFFT for N-point input    
-   * ---------------------------------------------------------- */
-  /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */
-  arm_rfft_q15(S->pRfft, pInlineBuffer, pState);
-
- /*----------------------------------------------------------------------    
-  *  Step3: Multiply the FFT output with the weights.    
-  *----------------------------------------------------------------------*/
-  arm_cmplx_mult_cmplx_q15(pState, weights, pState, S->N);
-
-  /* The output of complex multiplication is in 3.13 format.    
-   * Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.15 format by shifting left by 2 bits. */
-  arm_shift_q15(pState, 2, pState, S->N * 2);
-
-  /* ----------- Post-processing ---------- */
-  /* DCT-IV can be obtained from DCT-II by the equation,    
-   *       Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)    
-   *       Hence, Y4(0) = Y2(0)/2  */
-  /* Getting only real part from the output and Converting to DCT-IV */
-
-  /* Initializing the loop counter to N >> 2 for loop unrolling by 4 */
-  i = ((uint32_t) S->N - 1u) >> 2u;
-
-  /* pbuff initialized to input buffer. */
-  pbuff = pInlineBuffer;
-
-  /* pS1 initialized to pState */
-  pS1 = pState;
-
-  /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */
-  in = *pS1++ >> 1u;
-  /* input buffer acts as inplace, so output values are stored in the input itself. */
-  *pbuff++ = in;
-
-  /* pState pointer is incremented twice as the real values are located alternatively in the array */
-  pS1++;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  do
-  {
-    /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
-    /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
-    in = *pS1++ - in;
-    *pbuff++ = in;
-    /* points to the next real value */
-    pS1++;
-
-    in = *pS1++ - in;
-    *pbuff++ = in;
-    pS1++;
-
-    in = *pS1++ - in;
-    *pbuff++ = in;
-    pS1++;
-
-    in = *pS1++ - in;
-    *pbuff++ = in;
-    pS1++;
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  i = ((uint32_t) S->N - 1u) % 0x4u;
-
-  while(i > 0u)
-  {
-    /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
-    /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
-    in = *pS1++ - in;
-    *pbuff++ = in;
-    /* points to the next real value */
-    pS1++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-
-
-   /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/
-
-  /* Initializing the loop counter to N/4 instead of N for loop unrolling */
-  i = (uint32_t) S->N >> 2u;
-
-  /* pbuff initialized to the pInlineBuffer(now contains the output values) */
-  pbuff = pInlineBuffer;
-
-  /* Processing with loop unrolling 4 times as N is always multiple of 4.  Compute 4 outputs at a time */
-  do
-  {
-    /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */
-    in = *pbuff;
-    *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15));
-
-    in = *pbuff;
-    *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15));
-
-    in = *pbuff;
-    *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15));
-
-    in = *pbuff;
-    *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15));
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Initializing the loop counter to N/2 */
-  i = (uint32_t) S->Nby2;
-
-  do
-  {
-    /* Re-ordering of even and odd elements */
-    /* pState[i] =  pInlineBuffer[2*i] */
-    *pS1++ = *pbuff++;
-    /* pState[N-i-1] = pInlineBuffer[2*i+1] */
-    *pS2-- = *pbuff++;
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-  /* pbuff initialized to input buffer */
-  pbuff = pInlineBuffer;
-
-  /* pS1 initialized to pState */
-  pS1 = pState;
-
-  /* Initializing the loop counter */
-  i = (uint32_t) S->N;
-
-  do
-  {
-    /* Writing the re-ordered output back to inplace input buffer */
-    *pbuff++ = *pS1++;
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-
-  /* ---------------------------------------------------------    
-   *     Step2: Calculate RFFT for N-point input    
-   * ---------------------------------------------------------- */
-  /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */
-  arm_rfft_q15(S->pRfft, pInlineBuffer, pState);
-
- /*----------------------------------------------------------------------    
-  *  Step3: Multiply the FFT output with the weights.    
-  *----------------------------------------------------------------------*/
-  arm_cmplx_mult_cmplx_q15(pState, weights, pState, S->N);
-
-  /* The output of complex multiplication is in 3.13 format.    
-   * Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.15 format by shifting left by 2 bits. */
-  arm_shift_q15(pState, 2, pState, S->N * 2);
-
-  /* ----------- Post-processing ---------- */
-  /* DCT-IV can be obtained from DCT-II by the equation,    
-   *       Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)    
-   *       Hence, Y4(0) = Y2(0)/2  */
-  /* Getting only real part from the output and Converting to DCT-IV */
-
-  /* Initializing the loop counter */
-  i = ((uint32_t) S->N - 1u);
-
-  /* pbuff initialized to input buffer. */
-  pbuff = pInlineBuffer;
-
-  /* pS1 initialized to pState */
-  pS1 = pState;
-
-  /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */
-  in = *pS1++ >> 1u;
-  /* input buffer acts as inplace, so output values are stored in the input itself. */
-  *pbuff++ = in;
-
-  /* pState pointer is incremented twice as the real values are located alternatively in the array */
-  pS1++;
-
-  do
-  {
-    /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
-    /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
-    in = *pS1++ - in;
-    *pbuff++ = in;
-    /* points to the next real value */
-    pS1++;
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-   /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/
-
-  /* Initializing the loop counter */
-  i = (uint32_t) S->N;
-
-  /* pbuff initialized to the pInlineBuffer(now contains the output values) */
-  pbuff = pInlineBuffer;
-
-  do
-  {
-    /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */
-    in = *pbuff;
-    *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15));
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-}
-
-/**    
-   * @} end of DCT4_IDCT4 group    
-   */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_dct4_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_dct4_q31.c
deleted file mode 100644
index 887cfb385..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_dct4_q31.c
+++ /dev/null
@@ -1,387 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_dct4_q31.c    
-*    
-* Description:	Processing function of DCT4 & IDCT4 Q31.    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @addtogroup DCT4_IDCT4    
- * @{    
- */
-
-/**    
- * @brief Processing function for the Q31 DCT4/IDCT4.   
- * @param[in]       *S             points to an instance of the Q31 DCT4 structure.   
- * @param[in]       *pState        points to state buffer.   
- * @param[in,out]   *pInlineBuffer points to the in-place input and output buffer.   
- * @return none.   
- * \par Input an output formats:    
- * Input samples need to be downscaled by 1 bit to avoid saturations in the Q31 DCT process,    
- * as the conversion from DCT2 to DCT4 involves one subtraction.    
- * Internally inputs are downscaled in the RFFT process function to avoid overflows.    
- * Number of bits downscaled, depends on the size of the transform.    
- * The input and output formats for different DCT sizes and number of bits to upscale are mentioned in the table below:     
- *    
- * \image html dct4FormatsQ31Table.gif    
- */
-
-void arm_dct4_q31(
-  const arm_dct4_instance_q31 * S,
-  q31_t * pState,
-  q31_t * pInlineBuffer)
-{
-  uint16_t i;                                    /* Loop counter */
-  q31_t *weights = S->pTwiddle;                  /* Pointer to the Weights table */
-  q31_t *cosFact = S->pCosFactor;                /* Pointer to the cos factors table */
-  q31_t *pS1, *pS2, *pbuff;                      /* Temporary pointers for input buffer and pState buffer */
-  q31_t in;                                      /* Temporary variable */
-
-
-  /* DCT4 computation involves DCT2 (which is calculated using RFFT)    
-   * along with some pre-processing and post-processing.    
-   * Computational procedure is explained as follows:    
-   * (a) Pre-processing involves multiplying input with cos factor,    
-   *     r(n) = 2 * u(n) * cos(pi*(2*n+1)/(4*n))    
-   *              where,    
-   *                 r(n) -- output of preprocessing    
-   *                 u(n) -- input to preprocessing(actual Source buffer)    
-   * (b) Calculation of DCT2 using FFT is divided into three steps:    
-   *                  Step1: Re-ordering of even and odd elements of input.    
-   *                  Step2: Calculating FFT of the re-ordered input.    
-   *                  Step3: Taking the real part of the product of FFT output and weights.    
-   * (c) Post-processing - DCT4 can be obtained from DCT2 output using the following equation:    
-   *                   Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)    
-   *                        where,    
-   *                           Y4 -- DCT4 output,   Y2 -- DCT2 output    
-   * (d) Multiplying the output with the normalizing factor sqrt(2/N).    
-   */
-
-        /*-------- Pre-processing ------------*/
-  /* Multiplying input with cos factor i.e. r(n) = 2 * x(n) * cos(pi*(2*n+1)/(4*n)) */
-  arm_mult_q31(pInlineBuffer, cosFact, pInlineBuffer, S->N);
-  arm_shift_q31(pInlineBuffer, 1, pInlineBuffer, S->N);
-
-  /* ----------------------------------------------------------------    
-   * Step1: Re-ordering of even and odd elements as    
-   *             pState[i] =  pInlineBuffer[2*i] and    
-   *             pState[N-i-1] = pInlineBuffer[2*i+1] where i = 0 to N/2    
-   ---------------------------------------------------------------------*/
-
-  /* pS1 initialized to pState */
-  pS1 = pState;
-
-  /* pS2 initialized to pState+N-1, so that it points to the end of the state buffer */
-  pS2 = pState + (S->N - 1u);
-
-  /* pbuff initialized to input buffer */
-  pbuff = pInlineBuffer;
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  /* Initializing the loop counter to N/2 >> 2 for loop unrolling by 4 */
-  i = S->Nby2 >> 2u;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  do
-  {
-    /* Re-ordering of even and odd elements */
-    /* pState[i] =  pInlineBuffer[2*i] */
-    *pS1++ = *pbuff++;
-    /* pState[N-i-1] = pInlineBuffer[2*i+1] */
-    *pS2-- = *pbuff++;
-
-    *pS1++ = *pbuff++;
-    *pS2-- = *pbuff++;
-
-    *pS1++ = *pbuff++;
-    *pS2-- = *pbuff++;
-
-    *pS1++ = *pbuff++;
-    *pS2-- = *pbuff++;
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-  /* pbuff initialized to input buffer */
-  pbuff = pInlineBuffer;
-
-  /* pS1 initialized to pState */
-  pS1 = pState;
-
-  /* Initializing the loop counter to N/4 instead of N for loop unrolling */
-  i = S->N >> 2u;
-
-  /* Processing with loop unrolling 4 times as N is always multiple of 4.    
-   * Compute 4 outputs at a time */
-  do
-  {
-    /* Writing the re-ordered output back to inplace input buffer */
-    *pbuff++ = *pS1++;
-    *pbuff++ = *pS1++;
-    *pbuff++ = *pS1++;
-    *pbuff++ = *pS1++;
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-
-  /* ---------------------------------------------------------    
-   *     Step2: Calculate RFFT for N-point input    
-   * ---------------------------------------------------------- */
-  /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */
-  arm_rfft_q31(S->pRfft, pInlineBuffer, pState);
-
-  /*----------------------------------------------------------------------    
-   *  Step3: Multiply the FFT output with the weights.    
-   *----------------------------------------------------------------------*/
-  arm_cmplx_mult_cmplx_q31(pState, weights, pState, S->N);
-
-  /* The output of complex multiplication is in 3.29 format.    
-   * Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.31 format by shifting left by 2 bits. */
-  arm_shift_q31(pState, 2, pState, S->N * 2);
-
-  /* ----------- Post-processing ---------- */
-  /* DCT-IV can be obtained from DCT-II by the equation,    
-   *       Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)    
-   *       Hence, Y4(0) = Y2(0)/2  */
-  /* Getting only real part from the output and Converting to DCT-IV */
-
-  /* Initializing the loop counter to N >> 2 for loop unrolling by 4 */
-  i = (S->N - 1u) >> 2u;
-
-  /* pbuff initialized to input buffer. */
-  pbuff = pInlineBuffer;
-
-  /* pS1 initialized to pState */
-  pS1 = pState;
-
-  /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */
-  in = *pS1++ >> 1u;
-  /* input buffer acts as inplace, so output values are stored in the input itself. */
-  *pbuff++ = in;
-
-  /* pState pointer is incremented twice as the real values are located alternatively in the array */
-  pS1++;
-
-  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
-   ** a second loop below computes the remaining 1 to 3 samples. */
-  do
-  {
-    /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
-    /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
-    in = *pS1++ - in;
-    *pbuff++ = in;
-    /* points to the next real value */
-    pS1++;
-
-    in = *pS1++ - in;
-    *pbuff++ = in;
-    pS1++;
-
-    in = *pS1++ - in;
-    *pbuff++ = in;
-    pS1++;
-
-    in = *pS1++ - in;
-    *pbuff++ = in;
-    pS1++;
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
-   ** No loop unrolling is used. */
-  i = (S->N - 1u) % 0x4u;
-
-  while(i > 0u)
-  {
-    /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
-    /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
-    in = *pS1++ - in;
-    *pbuff++ = in;
-    /* points to the next real value */
-    pS1++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-
-
-        /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/
-
-  /* Initializing the loop counter to N/4 instead of N for loop unrolling */
-  i = S->N >> 2u;
-
-  /* pbuff initialized to the pInlineBuffer(now contains the output values) */
-  pbuff = pInlineBuffer;
-
-  /* Processing with loop unrolling 4 times as N is always multiple of 4.  Compute 4 outputs at a time */
-  do
-  {
-    /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */
-    in = *pbuff;
-    *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31));
-
-    in = *pbuff;
-    *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31));
-
-    in = *pbuff;
-    *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31));
-
-    in = *pbuff;
-    *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31));
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  /* Initializing the loop counter to N/2 */
-  i = S->Nby2;
-
-  do
-  {
-    /* Re-ordering of even and odd elements */
-    /* pState[i] =  pInlineBuffer[2*i] */
-    *pS1++ = *pbuff++;
-    /* pState[N-i-1] = pInlineBuffer[2*i+1] */
-    *pS2-- = *pbuff++;
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-  /* pbuff initialized to input buffer */
-  pbuff = pInlineBuffer;
-
-  /* pS1 initialized to pState */
-  pS1 = pState;
-
-  /* Initializing the loop counter */
-  i = S->N;
-
-  do
-  {
-    /* Writing the re-ordered output back to inplace input buffer */
-    *pbuff++ = *pS1++;
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-
-  /* ---------------------------------------------------------    
-   *     Step2: Calculate RFFT for N-point input    
-   * ---------------------------------------------------------- */
-  /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */
-  arm_rfft_q31(S->pRfft, pInlineBuffer, pState);
-
-  /*----------------------------------------------------------------------    
-   *  Step3: Multiply the FFT output with the weights.    
-   *----------------------------------------------------------------------*/
-  arm_cmplx_mult_cmplx_q31(pState, weights, pState, S->N);
-
-  /* The output of complex multiplication is in 3.29 format.    
-   * Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.31 format by shifting left by 2 bits. */
-  arm_shift_q31(pState, 2, pState, S->N * 2);
-
-  /* ----------- Post-processing ---------- */
-  /* DCT-IV can be obtained from DCT-II by the equation,    
-   *       Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)    
-   *       Hence, Y4(0) = Y2(0)/2  */
-  /* Getting only real part from the output and Converting to DCT-IV */
-
-  /* pbuff initialized to input buffer. */
-  pbuff = pInlineBuffer;
-
-  /* pS1 initialized to pState */
-  pS1 = pState;
-
-  /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */
-  in = *pS1++ >> 1u;
-  /* input buffer acts as inplace, so output values are stored in the input itself. */
-  *pbuff++ = in;
-
-  /* pState pointer is incremented twice as the real values are located alternatively in the array */
-  pS1++;
-
-  /* Initializing the loop counter */
-  i = (S->N - 1u);
-
-  while(i > 0u)
-  {
-    /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
-    /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
-    in = *pS1++ - in;
-    *pbuff++ = in;
-    /* points to the next real value */
-    pS1++;
-
-    /* Decrement the loop counter */
-    i--;
-  }
-
-
-        /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/
-
-  /* Initializing the loop counter */
-  i = S->N;
-
-  /* pbuff initialized to the pInlineBuffer(now contains the output values) */
-  pbuff = pInlineBuffer;
-
-  do
-  {
-    /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */
-    in = *pbuff;
-    *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31));
-
-    /* Decrement the loop counter */
-    i--;
-  } while(i > 0u);
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-}
-
-/**    
-   * @} end of DCT4_IDCT4 group    
-   */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_f32.c
deleted file mode 100644
index 2043a4e0d..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_f32.c
+++ /dev/null
@@ -1,382 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_rfft_f32.c    
-*    
-* Description:	RFFT & RIFFT Floating point process function    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupTransforms    
- */
-
-/**    
- * @defgroup RFFT_RIFFT Real FFT Functions    
- *    
- * \par    
- * Complex FFT/IFFT typically assumes complex input and output. However many applications use real valued data in time domain.     
- * Real FFT/IFFT efficiently process real valued sequences with the advantage of requirement of low memory and with less complexity.    
- *    
- * \par    
- * This set of functions implements Real Fast Fourier Transforms(RFFT) and Real Inverse Fast Fourier Transform(RIFFT)    
- * for Q15, Q31, and floating-point data types.      
- *    
- *    
- * \par Algorithm:    
- *    
- * Real Fast Fourier Transform:    
- * \par    
- * Real FFT of N-point is calculated using CFFT of N/2-point and Split RFFT process as shown below figure.    
- * \par    
- * \image html RFFT.gif "Real Fast Fourier Transform"    
- * \par    
- * The RFFT functions operate on blocks of input and output data and each call to the function processes    
- * fftLenR samples through the transform.  pSrc  points to input array containing fftLenR values.    
- * pDst  points to output array containing 2*fftLenR values. \n   
- * Input for real FFT is in the order of     
- * 
{real[0], real[1], real[2], real[3], ..}
    
- * Output for real FFT is complex and are in the order of    
- * 
{real(0), imag(0), real(1), imag(1), ...}
     
- *    
- * Real Inverse Fast Fourier Transform:    
- * \par    
- * Real IFFT of N-point is calculated using Split RIFFT process and CFFT of N/2-point as shown below figure.    
- * \par    
- * \image html RIFFT.gif "Real Inverse Fast Fourier Transform"    
- * \par    
- * The RIFFT functions operate on blocks of input and output data and each call to the function processes    
- * 2*fftLenR samples through the transform.  pSrc  points to input array containing 2*fftLenR values.    
- * pDst  points to output array containing fftLenR values. \n    
- * Input for real IFFT is complex and are in the order of   
- * 
{real(0), imag(0), real(1), imag(1), ...}
   
- *  Output for real IFFT is real and in the order of     
- * 
{real[0], real[1], real[2], real[3], ..}
   
- *    
- * \par Lengths supported by the transform:   
- * \par    
- * Real FFT/IFFT supports the lengths [128, 512, 2048], as it internally uses CFFT/CIFFT.    
- *    
- * \par Instance Structure    
- * A separate instance structure must be defined for each Instance but the twiddle factors can be reused.    
- * There are separate instance structure declarations for each of the 3 supported data types.    
- *    
- * \par Initialization Functions    
- * There is also an associated initialization function for each data type.    
- * The initialization function performs the following operations:    
- * - Sets the values of the internal structure fields.    
- * - Initializes twiddle factor tables.   
- * - Initializes CFFT data structure fields.     
- * \par    
- * Use of the initialization function is optional.    
- * However, if the initialization function is used, then the instance structure cannot be placed into a const data section.    
- * To place an instance structure into a const data section, the instance structure must be manually initialized.    
- * Manually initialize the instance structure as follows:    
- * 
    
- *arm_rfft_instance_f32 S = {fftLenReal, fftLenBy2, ifftFlagR, bitReverseFlagR, twidCoefRModifier, pTwiddleAReal, pTwiddleBReal, pCfft};    
- *arm_rfft_instance_q31 S = {fftLenReal, fftLenBy2, ifftFlagR, bitReverseFlagR, twidCoefRModifier, pTwiddleAReal, pTwiddleBReal, pCfft};    
- *arm_rfft_instance_q15 S = {fftLenReal, fftLenBy2, ifftFlagR, bitReverseFlagR, twidCoefRModifier, pTwiddleAReal, pTwiddleBReal, pCfft};    
- * 
    
- * where fftLenReal length of RFFT/RIFFT; fftLenBy2 length of CFFT/CIFFT.     
- * ifftFlagR Flag for selection of RFFT or RIFFT(Set ifftFlagR to calculate RIFFT otherwise calculates RFFT);    
- * bitReverseFlagR Flag for selection of output order(Set bitReverseFlagR to output in normal order otherwise output in bit reversed order);     
- * twidCoefRModifier modifier for twiddle factor table which supports 128, 512, 2048 RFFT lengths with same table;    
- * pTwiddleARealpoints to A array of twiddle coefficients; pTwiddleBRealpoints to B array of twiddle coefficients;    
- * pCfft points to the CFFT Instance structure. The CFFT structure also needs to be initialized, refer to arm_cfft_radix4_f32() for details regarding    
- * static initialization of cfft structure.    
- *    
- * \par Fixed-Point Behavior    
- * Care must be taken when using the fixed-point versions of the RFFT/RIFFT function.    
- * Refer to the function specific documentation below for usage guidelines.    
- */
-
-/*--------------------------------------------------------------------    
- *		Internal functions prototypes    
- *--------------------------------------------------------------------*/
-
-void arm_split_rfft_f32(
-  float32_t * pSrc,
-  uint32_t fftLen,
-  float32_t * pATable,
-  float32_t * pBTable,
-  float32_t * pDst,
-  uint32_t modifier);
-void arm_split_rifft_f32(
-  float32_t * pSrc,
-  uint32_t fftLen,
-  float32_t * pATable,
-  float32_t * pBTable,
-  float32_t * pDst,
-  uint32_t modifier);
-
-/**    
- * @addtogroup RFFT_RIFFT    
- * @{    
- */
-
-/**    
- * @brief Processing function for the floating-point RFFT/RIFFT.   
- * @param[in]  *S    points to an instance of the floating-point RFFT/RIFFT structure.   
- * @param[in]  *pSrc points to the input buffer.   
- * @param[out] *pDst points to the output buffer.   
- * @return none.   
- */
-
-void arm_rfft_f32(
-  const arm_rfft_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst)
-{
-  const arm_cfft_radix4_instance_f32 *S_CFFT = S->pCfft;
-
-
-  /* Calculation of Real IFFT of input */
-  if(S->ifftFlagR == 1u)
-  {
-    /*  Real IFFT core process */
-    arm_split_rifft_f32(pSrc, S->fftLenBy2, S->pTwiddleAReal,
-                        S->pTwiddleBReal, pDst, S->twidCoefRModifier);
-
-
-    /* Complex radix-4 IFFT process */
-    arm_radix4_butterfly_inverse_f32(pDst, S_CFFT->fftLen,
-                                     S_CFFT->pTwiddle,
-                                     S_CFFT->twidCoefModifier,
-                                     S_CFFT->onebyfftLen);
-
-    /* Bit reversal process */
-    if(S->bitReverseFlagR == 1u)
-    {
-      arm_bitreversal_f32(pDst, S_CFFT->fftLen,
-                          S_CFFT->bitRevFactor, S_CFFT->pBitRevTable);
-    }
-  }
-  else
-  {
-
-    /* Calculation of RFFT of input */
-
-    /* Complex radix-4 FFT process */
-    arm_radix4_butterfly_f32(pSrc, S_CFFT->fftLen,
-                             S_CFFT->pTwiddle, S_CFFT->twidCoefModifier);
-
-    /* Bit reversal process */
-    if(S->bitReverseFlagR == 1u)
-    {
-      arm_bitreversal_f32(pSrc, S_CFFT->fftLen,
-                          S_CFFT->bitRevFactor, S_CFFT->pBitRevTable);
-    }
-
-
-    /*  Real FFT core process */
-    arm_split_rfft_f32(pSrc, S->fftLenBy2, S->pTwiddleAReal,
-                       S->pTwiddleBReal, pDst, S->twidCoefRModifier);
-  }
-
-}
-
-/**    
-   * @} end of RFFT_RIFFT group    
-   */
-
-/**    
- * @brief  Core Real FFT process    
- * @param[in]   *pSrc 				points to the input buffer.    
- * @param[in]   fftLen  			length of FFT.    
- * @param[in]   *pATable 			points to the twiddle Coef A buffer.    
- * @param[in]   *pBTable 			points to the twiddle Coef B buffer.    
- * @param[out]  *pDst 				points to the output buffer.    
- * @param[in]   modifier 	        twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
- * @return none.    
- */
-
-void arm_split_rfft_f32(
-  float32_t * pSrc,
-  uint32_t fftLen,
-  float32_t * pATable,
-  float32_t * pBTable,
-  float32_t * pDst,
-  uint32_t modifier)
-{
-  uint32_t i;                                    /* Loop Counter */
-  float32_t outR, outI;                          /* Temporary variables for output */
-  float32_t *pCoefA, *pCoefB;                    /* Temporary pointers for twiddle factors */
-  float32_t CoefA1, CoefA2, CoefB1;              /* Temporary variables for twiddle coefficients */
-  float32_t *pDst1 = &pDst[2], *pDst2 = &pDst[(4u * fftLen) - 1u];      /* temp pointers for output buffer */
-  float32_t *pSrc1 = &pSrc[2], *pSrc2 = &pSrc[(2u * fftLen) - 1u];      /* temp pointers for input buffer */
-
-  /* Init coefficient pointers */
-  pCoefA = &pATable[modifier * 2u];
-  pCoefB = &pBTable[modifier * 2u];
-
-  i = fftLen - 1u;
-
-  while(i > 0u)
-  {
-    /*    
-       outR = (pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1]    
-       + pSrc[2 * n - 2 * i] * pBTable[2 * i] +    
-       pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);    
-     */
-
-    /* outI = (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] +    
-       pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -    
-       pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); */
-
-    /* read pATable[2 * i] */
-    CoefA1 = *pCoefA++;
-    /* pATable[2 * i + 1] */
-    CoefA2 = *pCoefA;
-
-    /* pSrc[2 * i] * pATable[2 * i] */
-    outR = *pSrc1 * CoefA1;
-    /* pSrc[2 * i] * CoefA2 */
-    outI = *pSrc1++ * CoefA2;
-
-    /* (pSrc[2 * i + 1] + pSrc[2 * fftLen - 2 * i + 1]) * CoefA2 */
-    outR -= (*pSrc1 + *pSrc2) * CoefA2;
-    /* pSrc[2 * i + 1] * CoefA1 */
-    outI += *pSrc1++ * CoefA1;
-
-    CoefB1 = *pCoefB;
-
-    /* pSrc[2 * fftLen - 2 * i + 1] * CoefB1 */
-    outI -= *pSrc2-- * CoefB1;
-    /* pSrc[2 * fftLen - 2 * i] * CoefA2 */
-    outI -= *pSrc2 * CoefA2;
-
-    /* pSrc[2 * fftLen - 2 * i] * CoefB1 */
-    outR += *pSrc2-- * CoefB1;
-
-    /* write output */
-    *pDst1++ = outR;
-    *pDst1++ = outI;
-
-    /* write complex conjugate output */
-    *pDst2-- = -outI;
-    *pDst2-- = outR;
-
-    /* update coefficient pointer */
-    pCoefB = pCoefB + (modifier * 2u);
-    pCoefA = pCoefA + ((modifier * 2u) - 1u);
-
-    i--;
-
-  }
-
-  pDst[2u * fftLen] = pSrc[0] - pSrc[1];
-  pDst[(2u * fftLen) + 1u] = 0.0f;
-
-  pDst[0] = pSrc[0] + pSrc[1];
-  pDst[1] = 0.0f;
-
-}
-
-
-/**    
- * @brief  Core Real IFFT process    
- * @param[in]   *pSrc 				points to the input buffer.    
- * @param[in]   fftLen  			length of FFT.   
- * @param[in]   *pATable 			points to the twiddle Coef A buffer.   
- * @param[in]   *pBTable 			points to the twiddle Coef B buffer.   
- * @param[out]  *pDst 				points to the output buffer.   
- * @param[in]   modifier 	        twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.    
- * @return none.    
- */
-
-void arm_split_rifft_f32(
-  float32_t * pSrc,
-  uint32_t fftLen,
-  float32_t * pATable,
-  float32_t * pBTable,
-  float32_t * pDst,
-  uint32_t modifier)
-{
-  float32_t outR, outI;                          /* Temporary variables for output */
-  float32_t *pCoefA, *pCoefB;                    /* Temporary pointers for twiddle factors */
-  float32_t CoefA1, CoefA2, CoefB1;              /* Temporary variables for twiddle coefficients */
-  float32_t *pSrc1 = &pSrc[0], *pSrc2 = &pSrc[(2u * fftLen) + 1u];
-
-  pCoefA = &pATable[0];
-  pCoefB = &pBTable[0];
-
-  while(fftLen > 0u)
-  {
-    /*    
-       outR = (pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] +    
-       pIn[2 * n - 2 * i] * pBTable[2 * i] -    
-       pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);    
-
-       outI = (pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] -    
-       pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -    
-       pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);    
-
-     */
-
-    CoefA1 = *pCoefA++;
-    CoefA2 = *pCoefA;
-
-    /* outR = (pSrc[2 * i] * CoefA1 */
-    outR = *pSrc1 * CoefA1;
-
-    /* - pSrc[2 * i] * CoefA2 */
-    outI = -(*pSrc1++) * CoefA2;
-
-    /* (pSrc[2 * i + 1] + pSrc[2 * fftLen - 2 * i + 1]) * CoefA2 */
-    outR += (*pSrc1 + *pSrc2) * CoefA2;
-
-    /* pSrc[2 * i + 1] * CoefA1 */
-    outI += (*pSrc1++) * CoefA1;
-
-    CoefB1 = *pCoefB;
-
-    /* - pSrc[2 * fftLen - 2 * i + 1] * CoefB1 */
-    outI -= *pSrc2-- * CoefB1;
-
-    /* pSrc[2 * fftLen - 2 * i] * CoefB1 */
-    outR += *pSrc2 * CoefB1;
-
-    /* pSrc[2 * fftLen - 2 * i] * CoefA2 */
-    outI += *pSrc2-- * CoefA2;
-
-    /* write output */
-    *pDst++ = outR;
-    *pDst++ = outI;
-
-    /* update coefficient pointer */
-    pCoefB = pCoefB + (modifier * 2u);
-    pCoefA = pCoefA + ((modifier * 2u) - 1u);
-
-    /* Decrement loop count */
-    fftLen--;
-  }
-
-}
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_init_f32.c b/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_init_f32.c
deleted file mode 100644
index 7a54df6e2..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_init_f32.c
+++ /dev/null
@@ -1,8369 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_rfft_init_f32.c    
-*    
-* Description:	RFFT & RIFFT Floating point initialisation function    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* -------------------------------------------------------------------- */
-
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupTransforms    
- */
-
-/**    
- * @addtogroup RFFT_RIFFT    
- * @{    
- */
-
-/**    
-* \par    
-* Generation of realCoefA array:    
-* \par    
-* 	n = 4096    
-* 
for (i = 0; i < n; i++)    
-*  {    
-*    pATable[2 * i] = 0.5 * (1.0 - sin (2 * PI / (double) (2 * n) * (double) i));    
-*    pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));    
-*  } 
    
-*/
-
-
-
-static const float32_t realCoefA[8192] = {
-  0.500000000000000f, -0.500000000000000f, 0.499616503715515f,
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-  0.413008064031601f, 0.492374241352081f, 0.413385748863220f,
-    0.492440819740295f,
-  0.413763463497162f, 0.492507129907608f, 0.414141237735748f,
-    0.492573112249374f,
-  0.414519041776657f, 0.492638826370239f, 0.414896935224533f,
-    0.492704242467880f,
-  0.415274858474731f, 0.492769360542297f, 0.415652841329575f,
-    0.492834210395813f,
-  0.416030853986740f, 0.492898762226105f, 0.416408926248550f,
-    0.492963016033173f,
-  0.416787058115005f, 0.493026971817017f, 0.417165219783783f,
-    0.493090659379959f,
-  0.417543441057205f, 0.493154048919678f, 0.417921721935272f,
-    0.493217140436172f,
-  0.418300032615662f, 0.493279963731766f, 0.418678402900696f,
-    0.493342459201813f,
-  0.419056802988052f, 0.493404686450958f, 0.419435262680054f,
-    0.493466645479202f,
-  0.419813781976700f, 0.493528276681900f, 0.420192331075668f,
-    0.493589639663696f,
-  0.420570939779282f, 0.493650704622269f, 0.420949578285217f,
-    0.493711471557617f,
-  0.421328276395798f, 0.493771970272064f, 0.421707004308701f,
-    0.493832170963287f,
-  0.422085791826248f, 0.493892073631287f, 0.422464638948441f,
-    0.493951678276062f,
-  0.422843515872955f, 0.494011014699936f, 0.423222452402115f,
-    0.494070053100586f,
-  0.423601418733597f, 0.494128793478012f, 0.423980414867401f,
-    0.494187235832214f,
-  0.424359470605850f, 0.494245409965515f, 0.424738585948944f,
-    0.494303256273270f,
-  0.425117731094360f, 0.494360834360123f, 0.425496935844421f,
-    0.494418144226074f,
-  0.425876170396805f, 0.494475126266479f, 0.426255434751511f,
-    0.494531840085983f,
-  0.426634758710861f, 0.494588255882263f, 0.427014142274857f,
-    0.494644373655319f,
-  0.427393525838852f, 0.494700223207474f, 0.427772998809814f,
-    0.494755744934082f,
-  0.428152471780777f, 0.494810998439789f, 0.428532034158707f,
-    0.494865983724594f,
-  0.428911596536636f, 0.494920641183853f, 0.429291218519211f,
-    0.494975030422211f,
-  0.429670870304108f, 0.495029091835022f, 0.430050581693649f,
-    0.495082914829254f,
-  0.430430322885513f, 0.495136409997940f, 0.430810123682022f,
-    0.495189607143402f,
-  0.431189924478531f, 0.495242536067963f, 0.431569814682007f,
-    0.495295166969299f,
-  0.431949704885483f, 0.495347499847412f, 0.432329654693604f,
-    0.495399564504623f,
-  0.432709634304047f, 0.495451331138611f, 0.433089673519135f,
-    0.495502769947052f,
-  0.433469742536545f, 0.495553970336914f, 0.433849841356277f,
-    0.495604842901230f,
-  0.434229999780655f, 0.495655417442322f, 0.434610158205032f,
-    0.495705723762512f,
-  0.434990376234055f, 0.495755732059479f, 0.435370653867722f,
-    0.495805442333221f,
-  0.435750931501389f, 0.495854884386063f, 0.436131268739700f,
-    0.495903998613358f,
-  0.436511665582657f, 0.495952844619751f, 0.436892062425613f,
-    0.496001392602921f,
-  0.437272518873215f, 0.496049642562866f, 0.437653005123138f,
-    0.496097624301910f,
-  0.438033521175385f, 0.496145308017731f, 0.438414067029953f,
-    0.496192663908005f,
-  0.438794672489166f, 0.496239781379700f, 0.439175277948380f,
-    0.496286571025848f,
-  0.439555943012238f, 0.496333062648773f, 0.439936667680740f,
-    0.496379286050797f,
-  0.440317392349243f, 0.496425211429596f, 0.440698176622391f,
-    0.496470838785172f,
-  0.441078960895538f, 0.496516168117523f, 0.441459804773331f,
-    0.496561229228973f,
-  0.441840678453445f, 0.496605962514877f, 0.442221581935883f,
-    0.496650427579880f,
-  0.442602545022964f, 0.496694594621658f, 0.442983508110046f,
-    0.496738493442535f,
-  0.443364530801773f, 0.496782064437866f, 0.443745553493500f,
-    0.496825367212296f,
-  0.444126635789871f, 0.496868371963501f, 0.444507747888565f,
-    0.496911078691483f,
-  0.444888889789581f, 0.496953487396240f, 0.445270061492920f,
-    0.496995598077774f,
-  0.445651292800903f, 0.497037440538406f, 0.446032524108887f,
-    0.497078984975815f,
-  0.446413785219193f, 0.497120231389999f, 0.446795076131821f,
-    0.497161179780960f,
-  0.447176426649094f, 0.497201830148697f, 0.447557777166367f,
-    0.497242212295532f,
-  0.447939187288284f, 0.497282296419144f, 0.448320597410202f,
-    0.497322082519531f,
-  0.448702067136765f, 0.497361570596695f, 0.449083566665649f,
-    0.497400760650635f,
-  0.449465066194534f, 0.497439652681351f, 0.449846625328064f,
-    0.497478276491165f,
-  0.450228184461594f, 0.497516602277756f, 0.450609803199768f,
-    0.497554630041122f,
-  0.450991421937943f, 0.497592359781265f, 0.451373100280762f,
-    0.497629791498184f,
-  0.451754778623581f, 0.497666954994202f, 0.452136516571045f,
-    0.497703820466995f,
-  0.452518254518509f, 0.497740387916565f, 0.452900022268295f,
-    0.497776657342911f,
-  0.453281819820404f, 0.497812628746033f, 0.453663676977158f,
-    0.497848302125931f,
-  0.454045534133911f, 0.497883707284927f, 0.454427421092987f,
-    0.497918814420700f,
-  0.454809308052063f, 0.497953623533249f, 0.455191254615784f,
-    0.497988134622574f,
-  0.455573230981827f, 0.498022347688675f, 0.455955207347870f,
-    0.498056292533875f,
-  0.456337243318558f, 0.498089909553528f, 0.456719279289246f,
-    0.498123258352280f,
-  0.457101345062256f, 0.498156309127808f, 0.457483440637589f,
-    0.498189061880112f,
-  0.457865566015244f, 0.498221516609192f, 0.458247691392899f,
-    0.498253703117371f,
-  0.458629876375198f, 0.498285561800003f, 0.459012061357498f,
-    0.498317152261734f,
-  0.459394276142120f, 0.498348444700241f, 0.459776520729065f,
-    0.498379439115524f,
-  0.460158795118332f, 0.498410135507584f, 0.460541069507599f,
-    0.498440563678741f,
-  0.460923373699188f, 0.498470664024353f, 0.461305707693100f,
-    0.498500496149063f,
-  0.461688071489334f, 0.498530030250549f, 0.462070435285568f,
-    0.498559266328812f,
-  0.462452858686447f, 0.498588204383850f, 0.462835282087326f,
-    0.498616874217987f,
-  0.463217705488205f, 0.498645216226578f, 0.463600188493729f,
-    0.498673290014267f,
-  0.463982671499252f, 0.498701065778732f, 0.464365184307098f,
-    0.498728543519974f,
-  0.464747726917267f, 0.498755723237991f, 0.465130269527435f,
-    0.498782604932785f,
-  0.465512841939926f, 0.498809218406677f, 0.465895414352417f,
-    0.498835533857346f,
-  0.466278046369553f, 0.498861521482468f, 0.466660678386688f,
-    0.498887240886688f,
-  0.467043310403824f, 0.498912662267685f, 0.467426002025604f,
-    0.498937815427780f,
-  0.467808693647385f, 0.498962640762329f, 0.468191385269165f,
-    0.498987197875977f,
-  0.468574106693268f, 0.499011427164078f, 0.468956857919693f,
-    0.499035388231277f,
-  0.469339638948441f, 0.499059051275253f, 0.469722419977188f,
-    0.499082416296005f,
-  0.470105201005936f, 0.499105513095856f, 0.470488041639328f,
-    0.499128282070160f,
-  0.470870882272720f, 0.499150782823563f, 0.471253722906113f,
-    0.499172955751419f,
-  0.471636593341827f, 0.499194860458374f, 0.472019463777542f,
-    0.499216467142105f,
-  0.472402364015579f, 0.499237775802612f, 0.472785294055939f,
-    0.499258816242218f,
-  0.473168224096298f, 0.499279528856277f, 0.473551183938980f,
-    0.499299973249435f,
-  0.473934143781662f, 0.499320119619370f, 0.474317133426666f,
-    0.499339967966080f,
-  0.474700123071671f, 0.499359518289566f, 0.475083142518997f,
-    0.499378770589828f,
-  0.475466161966324f, 0.499397724866867f, 0.475849211215973f,
-    0.499416410923004f,
-  0.476232260465622f, 0.499434769153595f, 0.476615339517593f,
-    0.499452859163284f,
-  0.476998418569565f, 0.499470651149750f, 0.477381497621536f,
-    0.499488145112991f,
-  0.477764606475830f, 0.499505341053009f, 0.478147745132446f,
-    0.499522238969803f,
-  0.478530883789063f, 0.499538868665695f, 0.478914022445679f,
-    0.499555170536041f,
-  0.479297190904617f, 0.499571204185486f, 0.479680359363556f,
-    0.499586939811707f,
-  0.480063527822495f, 0.499602377414703f, 0.480446726083755f,
-    0.499617516994476f,
-  0.480829954147339f, 0.499632388353348f, 0.481213152408600f,
-    0.499646931886673f,
-  0.481596380472183f, 0.499661177396774f, 0.481979638338089f,
-    0.499675154685974f,
-  0.482362866401672f, 0.499688833951950f, 0.482746154069901f,
-    0.499702215194702f,
-  0.483129411935806f, 0.499715298414230f, 0.483512699604034f,
-    0.499728083610535f,
-  0.483895987272263f, 0.499740600585938f, 0.484279274940491f,
-    0.499752789735794f,
-  0.484662592411041f, 0.499764710664749f, 0.485045909881592f,
-    0.499776333570480f,
-  0.485429257154465f, 0.499787658452988f, 0.485812574625015f,
-    0.499798685312271f,
-  0.486195921897888f, 0.499809414148331f, 0.486579269170761f,
-    0.499819844961166f,
-  0.486962646245956f, 0.499830007553101f, 0.487346023321152f,
-    0.499839842319489f,
-  0.487729400396347f, 0.499849408864975f, 0.488112777471542f,
-    0.499858677387238f,
-  0.488496154546738f, 0.499867647886276f, 0.488879561424255f,
-    0.499876320362091f,
-  0.489262968301773f, 0.499884694814682f, 0.489646375179291f,
-    0.499892801046371f,
-  0.490029782056808f, 0.499900579452515f, 0.490413218736649f,
-    0.499908089637756f,
-  0.490796625614166f, 0.499915301799774f, 0.491180062294006f,
-    0.499922215938568f,
-  0.491563498973846f, 0.499928832054138f, 0.491946935653687f,
-    0.499935150146484f,
-  0.492330402135849f, 0.499941170215607f, 0.492713838815689f,
-    0.499946922063828f,
-  0.493097305297852f, 0.499952346086502f, 0.493480771780014f,
-    0.499957501888275f,
-  0.493864238262177f, 0.499962359666824f, 0.494247704744339f,
-    0.499966919422150f,
-  0.494631171226501f, 0.499971181154251f, 0.495014637708664f,
-    0.499975144863129f,
-  0.495398133993149f, 0.499978810548782f, 0.495781600475311f,
-    0.499982208013535f,
-  0.496165096759796f, 0.499985307455063f, 0.496548563241959f,
-    0.499988079071045f,
-  0.496932059526443f, 0.499990582466125f, 0.497315555810928f,
-    0.499992787837982f,
-  0.497699022293091f, 0.499994695186615f, 0.498082518577576f,
-    0.499996334314346f,
-  0.498466014862061f, 0.499997645616531f, 0.498849511146545f,
-    0.499998688697815f,
-  0.499233007431030f, 0.499999403953552f, 0.499616503715515f,
-    0.499999850988388f,
-};
-
-
-/**    
-* \par   
-* Generation of realCoefB array:    
-* \par   
-* n = 4096    
-* 
for (i = 0; i < n; i++)    
-* {    
-*    pBTable[2 * i] = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));    
-*    pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));    
-*  } 
    
-*    
-*/
-static const float32_t realCoefB[8192] = {
-  0.500000000000000f, 0.500000000000000f, 0.500383496284485f,
-    0.499999850988388f,
-  0.500766992568970f, 0.499999403953552f, 0.501150488853455f,
-    0.499998688697815f,
-  0.501533985137939f, 0.499997645616531f, 0.501917481422424f,
-    0.499996334314346f,
-  0.502300977706909f, 0.499994695186615f, 0.502684473991394f,
-    0.499992787837982f,
-  0.503067970275879f, 0.499990582466125f, 0.503451406955719f,
-    0.499988079071045f,
-  0.503834903240204f, 0.499985307455063f, 0.504218399524689f,
-    0.499982208013535f,
-  0.504601895809174f, 0.499978810548782f, 0.504985332489014f,
-    0.499975144863129f,
-  0.505368828773499f, 0.499971181154251f, 0.505752325057983f,
-    0.499966919422150f,
-  0.506135761737823f, 0.499962359666824f, 0.506519258022308f,
-    0.499957501888275f,
-  0.506902694702148f, 0.499952346086502f, 0.507286131381989f,
-    0.499946922063828f,
-  0.507669627666473f, 0.499941170215607f, 0.508053064346313f,
-    0.499935150146484f,
-  0.508436501026154f, 0.499928832054138f, 0.508819937705994f,
-    0.499922215938568f,
-  0.509203374385834f, 0.499915301799774f, 0.509586811065674f,
-    0.499908089637756f,
-  0.509970188140869f, 0.499900579452515f, 0.510353624820709f,
-    0.499892801046371f,
-  0.510737061500549f, 0.499884694814682f, 0.511120438575745f,
-    0.499876320362091f,
-  0.511503815650940f, 0.499867647886276f, 0.511887252330780f,
-    0.499858677387238f,
-  0.512270629405975f, 0.499849408864975f, 0.512654006481171f,
-    0.499839842319489f,
-  0.513037383556366f, 0.499830007553101f, 0.513420701026917f,
-    0.499819844961166f,
-  0.513804078102112f, 0.499809414148331f, 0.514187395572662f,
-    0.499798685312271f,
-  0.514570772647858f, 0.499787658452988f, 0.514954090118408f,
-    0.499776333570480f,
-  0.515337407588959f, 0.499764710664749f, 0.515720725059509f,
-    0.499752789735794f,
-  0.516103982925415f, 0.499740600585938f, 0.516487300395966f,
-    0.499728083610535f,
-  0.516870558261871f, 0.499715298414230f, 0.517253875732422f,
-    0.499702215194702f,
-  0.517637133598328f, 0.499688833951950f, 0.518020391464233f,
-    0.499675154685974f,
-  0.518403589725494f, 0.499661177396774f, 0.518786847591400f,
-    0.499646931886673f,
-  0.519170045852661f, 0.499632388353348f, 0.519553244113922f,
-    0.499617516994476f,
-  0.519936442375183f, 0.499602377414703f, 0.520319640636444f,
-    0.499586939811707f,
-  0.520702838897705f, 0.499571204185486f, 0.521085977554321f,
-    0.499555170536041f,
-  0.521469116210938f, 0.499538868665695f, 0.521852254867554f,
-    0.499522238969803f,
-  0.522235393524170f, 0.499505341053009f, 0.522618472576141f,
-    0.499488145112991f,
-  0.523001611232758f, 0.499470651149750f, 0.523384690284729f,
-    0.499452859163284f,
-  0.523767769336700f, 0.499434769153595f, 0.524150788784027f,
-    0.499416410923004f,
-  0.524533808231354f, 0.499397724866867f, 0.524916887283325f,
-    0.499378770589828f,
-  0.525299847126007f, 0.499359518289566f, 0.525682866573334f,
-    0.499339967966080f,
-  0.526065826416016f, 0.499320119619370f, 0.526448845863342f,
-    0.499299973249435f,
-  0.526831746101379f, 0.499279528856277f, 0.527214705944061f,
-    0.499258816242218f,
-  0.527597606182098f, 0.499237775802612f, 0.527980506420136f,
-    0.499216467142105f,
-  0.528363406658173f, 0.499194860458374f, 0.528746306896210f,
-    0.499172955751419f,
-  0.529129147529602f, 0.499150782823563f, 0.529511988162994f,
-    0.499128282070160f,
-  0.529894769191742f, 0.499105513095856f, 0.530277609825134f,
-    0.499082416296005f,
-  0.530660390853882f, 0.499059051275253f, 0.531043112277985f,
-    0.499035388231277f,
-  0.531425893306732f, 0.499011427164078f, 0.531808614730835f,
-    0.498987197875977f,
-  0.532191336154938f, 0.498962640762329f, 0.532573997974396f,
-    0.498937815427780f,
-  0.532956659793854f, 0.498912662267685f, 0.533339321613312f,
-    0.498887240886688f,
-  0.533721983432770f, 0.498861521482468f, 0.534104585647583f,
-    0.498835533857346f,
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-    -0.496192663908005f,
-  0.561205327510834f, -0.496239781379700f, 0.560824692249298f,
-    -0.496286571025848f,
-  0.560444056987762f, -0.496333062648773f, 0.560063362121582f,
-    -0.496379286050797f,
-  0.559682607650757f, -0.496425211429596f, 0.559301853179932f,
-    -0.496470838785172f,
-  0.558921039104462f, -0.496516168117523f, 0.558540165424347f,
-    -0.496561229228973f,
-  0.558159291744232f, -0.496605962514877f, 0.557778418064117f,
-    -0.496650427579880f,
-  0.557397484779358f, -0.496694594621658f, 0.557016491889954f,
-    -0.496738493442535f,
-  0.556635499000549f, -0.496782064437866f, 0.556254446506500f,
-    -0.496825367212296f,
-  0.555873334407806f, -0.496868371963501f, 0.555492222309113f,
-    -0.496911078691483f,
-  0.555111110210419f, -0.496953487396240f, 0.554729938507080f,
-    -0.496995598077774f,
-  0.554348707199097f, -0.497037440538406f, 0.553967475891113f,
-    -0.497078984975815f,
-  0.553586184978485f, -0.497120231389999f, 0.553204894065857f,
-    -0.497161179780960f,
-  0.552823603153229f, -0.497201830148697f, 0.552442193031311f,
-    -0.497242212295532f,
-  0.552060842514038f, -0.497282296419144f, 0.551679372787476f,
-    -0.497322082519531f,
-  0.551297962665558f, -0.497361570596695f, 0.550916433334351f,
-    -0.497400760650635f,
-  0.550534904003143f, -0.497439652681351f, 0.550153374671936f,
-    -0.497478276491165f,
-  0.549771785736084f, -0.497516602277756f, 0.549390196800232f,
-    -0.497554630041122f,
-  0.549008548259735f, -0.497592359781265f, 0.548626899719238f,
-    -0.497629791498184f,
-  0.548245191574097f, -0.497666954994202f, 0.547863483428955f,
-    -0.497703820466995f,
-  0.547481775283813f, -0.497740387916565f, 0.547099947929382f,
-    -0.497776657342911f,
-  0.546718180179596f, -0.497812628746033f, 0.546336352825165f,
-    -0.497848302125931f,
-  0.545954465866089f, -0.497883707284927f, 0.545572578907013f,
-    -0.497918814420700f,
-  0.545190691947937f, -0.497953623533249f, 0.544808745384216f,
-    -0.497988134622574f,
-  0.544426798820496f, -0.498022347688675f, 0.544044792652130f,
-    -0.498056292533875f,
-  0.543662786483765f, -0.498089909553528f, 0.543280720710754f,
-    -0.498123258352280f,
-  0.542898654937744f, -0.498156309127808f, 0.542516589164734f,
-    -0.498189061880112f,
-  0.542134463787079f, -0.498221516609192f, 0.541752278804779f,
-    -0.498253703117371f,
-  0.541370153427124f, -0.498285561800003f, 0.540987968444824f,
-    -0.498317152261734f,
-  0.540605723857880f, -0.498348444700241f, 0.540223479270935f,
-    -0.498379439115524f,
-  0.539841234683990f, -0.498410135507584f, 0.539458930492401f,
-    -0.498440563678741f,
-  0.539076626300812f, -0.498470664024353f, 0.538694262504578f,
-    -0.498500496149063f,
-  0.538311958312988f, -0.498530030250549f, 0.537929534912109f,
-    -0.498559266328812f,
-  0.537547171115875f, -0.498588204383850f, 0.537164747714996f,
-    -0.498616874217987f,
-  0.536782264709473f, -0.498645216226578f, 0.536399841308594f,
-    -0.498673290014267f,
-  0.536017298698425f, -0.498701065778732f, 0.535634815692902f,
-    -0.498728543519974f,
-  0.535252273082733f, -0.498755723237991f, 0.534869730472565f,
-    -0.498782604932785f,
-  0.534487187862396f, -0.498809218406677f, 0.534104585647583f,
-    -0.498835533857346f,
-  0.533721983432770f, -0.498861521482468f, 0.533339321613312f,
-    -0.498887240886688f,
-  0.532956659793854f, -0.498912662267685f, 0.532573997974396f,
-    -0.498937815427780f,
-  0.532191336154938f, -0.498962640762329f, 0.531808614730835f,
-    -0.498987197875977f,
-  0.531425893306732f, -0.499011427164078f, 0.531043112277985f,
-    -0.499035388231277f,
-  0.530660390853882f, -0.499059051275253f, 0.530277609825134f,
-    -0.499082416296005f,
-  0.529894769191742f, -0.499105513095856f, 0.529511988162994f,
-    -0.499128282070160f,
-  0.529129147529602f, -0.499150782823563f, 0.528746306896210f,
-    -0.499172955751419f,
-  0.528363406658173f, -0.499194860458374f, 0.527980506420136f,
-    -0.499216467142105f,
-  0.527597606182098f, -0.499237775802612f, 0.527214705944061f,
-    -0.499258816242218f,
-  0.526831746101379f, -0.499279528856277f, 0.526448845863342f,
-    -0.499299973249435f,
-  0.526065826416016f, -0.499320119619370f, 0.525682866573334f,
-    -0.499339967966080f,
-  0.525299847126007f, -0.499359518289566f, 0.524916887283325f,
-    -0.499378770589828f,
-  0.524533808231354f, -0.499397724866867f, 0.524150788784027f,
-    -0.499416410923004f,
-  0.523767769336700f, -0.499434769153595f, 0.523384690284729f,
-    -0.499452859163284f,
-  0.523001611232758f, -0.499470651149750f, 0.522618472576141f,
-    -0.499488145112991f,
-  0.522235393524170f, -0.499505341053009f, 0.521852254867554f,
-    -0.499522238969803f,
-  0.521469116210938f, -0.499538868665695f, 0.521085977554321f,
-    -0.499555170536041f,
-  0.520702838897705f, -0.499571204185486f, 0.520319640636444f,
-    -0.499586939811707f,
-  0.519936442375183f, -0.499602377414703f, 0.519553244113922f,
-    -0.499617516994476f,
-  0.519170045852661f, -0.499632388353348f, 0.518786847591400f,
-    -0.499646931886673f,
-  0.518403589725494f, -0.499661177396774f, 0.518020391464233f,
-    -0.499675154685974f,
-  0.517637133598328f, -0.499688833951950f, 0.517253875732422f,
-    -0.499702215194702f,
-  0.516870558261871f, -0.499715298414230f, 0.516487300395966f,
-    -0.499728083610535f,
-  0.516103982925415f, -0.499740600585938f, 0.515720725059509f,
-    -0.499752789735794f,
-  0.515337407588959f, -0.499764710664749f, 0.514954090118408f,
-    -0.499776333570480f,
-  0.514570772647858f, -0.499787658452988f, 0.514187395572662f,
-    -0.499798685312271f,
-  0.513804078102112f, -0.499809414148331f, 0.513420701026917f,
-    -0.499819844961166f,
-  0.513037383556366f, -0.499830007553101f, 0.512654006481171f,
-    -0.499839842319489f,
-  0.512270629405975f, -0.499849408864975f, 0.511887252330780f,
-    -0.499858677387238f,
-  0.511503815650940f, -0.499867647886276f, 0.511120438575745f,
-    -0.499876320362091f,
-  0.510737061500549f, -0.499884694814682f, 0.510353624820709f,
-    -0.499892801046371f,
-  0.509970188140869f, -0.499900579452515f, 0.509586811065674f,
-    -0.499908089637756f,
-  0.509203374385834f, -0.499915301799774f, 0.508819937705994f,
-    -0.499922215938568f,
-  0.508436501026154f, -0.499928832054138f, 0.508053064346313f,
-    -0.499935150146484f,
-  0.507669627666473f, -0.499941170215607f, 0.507286131381989f,
-    -0.499946922063828f,
-  0.506902694702148f, -0.499952346086502f, 0.506519258022308f,
-    -0.499957501888275f,
-  0.506135761737823f, -0.499962359666824f, 0.505752325057983f,
-    -0.499966919422150f,
-  0.505368828773499f, -0.499971181154251f, 0.504985332489014f,
-    -0.499975144863129f,
-  0.504601895809174f, -0.499978810548782f, 0.504218399524689f,
-    -0.499982208013535f,
-  0.503834903240204f, -0.499985307455063f, 0.503451406955719f,
-    -0.499988079071045f,
-  0.503067970275879f, -0.499990582466125f, 0.502684473991394f,
-    -0.499992787837982f,
-  0.502300977706909f, -0.499994695186615f, 0.501917481422424f,
-    -0.499996334314346f,
-  0.501533985137939f, -0.499997645616531f, 0.501150488853455f,
-    -0.499998688697815f,
-  0.500766992568970f, -0.499999403953552f, 0.500383496284485f,
-    -0.499999850988388f,
-};
-
-
-
-/**    
-* @brief  Initialization function for the floating-point RFFT/RIFFT.   
-* @param[in,out] *S             points to an instance of the floating-point RFFT/RIFFT structure.   
-* @param[in,out] *S_CFFT        points to an instance of the floating-point CFFT/CIFFT structure.   
-* @param[in]     fftLenReal     length of the FFT.   
-* @param[in]     ifftFlagR      flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform.   
-* @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.   
-* @return		The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLenReal is not a supported value.   
-*    
-* \par Description:   
-* \par   
-* The parameter fftLenReal	Specifies length of RFFT/RIFFT Process. Supported FFT Lengths are 128, 512, 2048.    
-* \par    
-* The parameter ifftFlagR controls whether a forward or inverse transform is computed.    
-* Set(=1) ifftFlagR to calculate RIFFT, otherwise RFFT is calculated.    
-* \par    
-* The parameter bitReverseFlag controls whether output is in normal order or bit reversed order.    
-* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.   
-* \par    
-* This function also initializes Twiddle factor table.     
-*/
-
-arm_status arm_rfft_init_f32(
-  arm_rfft_instance_f32 * S,
-  arm_cfft_radix4_instance_f32 * S_CFFT,
-  uint32_t fftLenReal,
-  uint32_t ifftFlagR,
-  uint32_t bitReverseFlag)
-{
-
-  /*  Initialise the default arm status */
-  arm_status status = ARM_MATH_SUCCESS;
-
-  /*  Initialize the Real FFT length */
-  S->fftLenReal = (uint16_t) fftLenReal;
-
-  /*  Initialize the Complex FFT length */
-  S->fftLenBy2 = (uint16_t) fftLenReal / 2u;
-
-  /*  Initialize the Twiddle coefficientA pointer */
-  S->pTwiddleAReal = (float32_t *) realCoefA;
-
-  /*  Initialize the Twiddle coefficientB pointer */
-  S->pTwiddleBReal = (float32_t *) realCoefB;
-
-  /*  Initialize the Flag for selection of RFFT or RIFFT */
-  S->ifftFlagR = (uint8_t) ifftFlagR;
-
-  /*  Initialize the Flag for calculation Bit reversal or not */
-  S->bitReverseFlagR = (uint8_t) bitReverseFlag;
-
-  /*  Initializations of structure parameters depending on the FFT length */
-  switch (S->fftLenReal)
-  {
-    /* Init table modifier value */
-  case 8192u:
-    S->twidCoefRModifier = 1u;
-    break;
-  case 2048u:
-    S->twidCoefRModifier = 4u;
-    break;
-  case 512u:
-    S->twidCoefRModifier = 16u;
-    break;
-  case 128u:
-    S->twidCoefRModifier = 64u;
-    break;
-  default:
-    /*  Reporting argument error if rfftSize is not valid value */
-    status = ARM_MATH_ARGUMENT_ERROR;
-    break;
-  }
-
-  /* Init Complex FFT Instance */
-  S->pCfft = S_CFFT;
-
-  if(S->ifftFlagR)
-  {
-    /* Initializes the CIFFT Module for fftLenreal/2 length */
-    arm_cfft_radix4_init_f32(S->pCfft, S->fftLenBy2, 1u, 0u);
-  }
-  else
-  {
-    /* Initializes the CFFT Module for fftLenreal/2 length */
-    arm_cfft_radix4_init_f32(S->pCfft, S->fftLenBy2, 0u, 0u);
-  }
-
-  /* return the status of RFFT Init function */
-  return (status);
-
-}
-
-  /**    
-   * @} end of RFFT_RIFFT group    
-   */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_init_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_init_q15.c
deleted file mode 100644
index 50b9d994d..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_init_q15.c
+++ /dev/null
@@ -1,2229 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_rfft_init_q15.c    
-*    
-* Description:	RFFT & RIFFT Q15 initialisation function    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* -------------------------------------------------------------------- */
-
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupTransforms    
- */
-
-/**    
- * @addtogroup RFFT_RIFFT    
- * @{    
- */
-
-
-
-/**    
-* \par    
-* Generation floating point real_CoefA array:    
-* \par    
-* n = 4096    
-* 
for (i = 0; i < n; i++)    
-*  {    
-*    pATable[2 * i] = 0.5 * (1.0 - sin (2 * PI / (double) (2 * n) * (double) i));    
-*    pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));    
-*  } 
    
-* \par    
-* Convert to fixed point Q15 format    
-*       round(pATable[i] * pow(2, 15))    
-*/
-
-
-static const q15_t ALIGN4 realCoefAQ15[8192] = {
-  0x4000, 0xc000, 0x3ff3, 0xc000, 0x3fe7, 0xc000, 0x3fda, 0xc000,
-  0x3fce, 0xc000, 0x3fc1, 0xc000, 0x3fb5, 0xc000, 0x3fa8, 0xc000,
-  0x3f9b, 0xc000, 0x3f8f, 0xc000, 0x3f82, 0xc000, 0x3f76, 0xc001,
-  0x3f69, 0xc001, 0x3f5d, 0xc001, 0x3f50, 0xc001, 0x3f44, 0xc001,
-  0x3f37, 0xc001, 0x3f2a, 0xc001, 0x3f1e, 0xc002, 0x3f11, 0xc002,
-  0x3f05, 0xc002, 0x3ef8, 0xc002, 0x3eec, 0xc002, 0x3edf, 0xc003,
-  0x3ed2, 0xc003, 0x3ec6, 0xc003, 0x3eb9, 0xc003, 0x3ead, 0xc004,
-  0x3ea0, 0xc004, 0x3e94, 0xc004, 0x3e87, 0xc004, 0x3e7a, 0xc005,
-  0x3e6e, 0xc005, 0x3e61, 0xc005, 0x3e55, 0xc006, 0x3e48, 0xc006,
-  0x3e3c, 0xc006, 0x3e2f, 0xc007, 0x3e23, 0xc007, 0x3e16, 0xc007,
-  0x3e09, 0xc008, 0x3dfd, 0xc008, 0x3df0, 0xc009, 0x3de4, 0xc009,
-  0x3dd7, 0xc009, 0x3dcb, 0xc00a, 0x3dbe, 0xc00a, 0x3db2, 0xc00b,
-  0x3da5, 0xc00b, 0x3d98, 0xc00c, 0x3d8c, 0xc00c, 0x3d7f, 0xc00d,
-  0x3d73, 0xc00d, 0x3d66, 0xc00e, 0x3d5a, 0xc00e, 0x3d4d, 0xc00f,
-  0x3d40, 0xc00f, 0x3d34, 0xc010, 0x3d27, 0xc010, 0x3d1b, 0xc011,
-  0x3d0e, 0xc011, 0x3d02, 0xc012, 0x3cf5, 0xc013, 0x3ce9, 0xc013,
-  0x3cdc, 0xc014, 0x3cd0, 0xc014, 0x3cc3, 0xc015, 0x3cb6, 0xc016,
-  0x3caa, 0xc016, 0x3c9d, 0xc017, 0x3c91, 0xc018, 0x3c84, 0xc018,
-  0x3c78, 0xc019, 0x3c6b, 0xc01a, 0x3c5f, 0xc01a, 0x3c52, 0xc01b,
-  0x3c45, 0xc01c, 0x3c39, 0xc01d, 0x3c2c, 0xc01d, 0x3c20, 0xc01e,
-  0x3c13, 0xc01f, 0x3c07, 0xc020, 0x3bfa, 0xc020, 0x3bee, 0xc021,
-  0x3be1, 0xc022, 0x3bd5, 0xc023, 0x3bc8, 0xc024, 0x3bbc, 0xc024,
-  0x3baf, 0xc025, 0x3ba2, 0xc026, 0x3b96, 0xc027, 0x3b89, 0xc028,
-  0x3b7d, 0xc029, 0x3b70, 0xc02a, 0x3b64, 0xc02b, 0x3b57, 0xc02b,
-  0x3b4b, 0xc02c, 0x3b3e, 0xc02d, 0x3b32, 0xc02e, 0x3b25, 0xc02f,
-  0x3b19, 0xc030, 0x3b0c, 0xc031, 0x3b00, 0xc032, 0x3af3, 0xc033,
-  0x3ae6, 0xc034, 0x3ada, 0xc035, 0x3acd, 0xc036, 0x3ac1, 0xc037,
-  0x3ab4, 0xc038, 0x3aa8, 0xc039, 0x3a9b, 0xc03a, 0x3a8f, 0xc03b,
-  0x3a82, 0xc03c, 0x3a76, 0xc03d, 0x3a69, 0xc03f, 0x3a5d, 0xc040,
-  0x3a50, 0xc041, 0x3a44, 0xc042, 0x3a37, 0xc043, 0x3a2b, 0xc044,
-  0x3a1e, 0xc045, 0x3a12, 0xc047, 0x3a05, 0xc048, 0x39f9, 0xc049,
-  0x39ec, 0xc04a, 0x39e0, 0xc04b, 0x39d3, 0xc04c, 0x39c7, 0xc04e,
-  0x39ba, 0xc04f, 0x39ae, 0xc050, 0x39a1, 0xc051, 0x3995, 0xc053,
-  0x3988, 0xc054, 0x397c, 0xc055, 0x396f, 0xc056, 0x3963, 0xc058,
-  0x3956, 0xc059, 0x394a, 0xc05a, 0x393d, 0xc05c, 0x3931, 0xc05d,
-  0x3924, 0xc05e, 0x3918, 0xc060, 0x390b, 0xc061, 0x38ff, 0xc062,
-  0x38f2, 0xc064, 0x38e6, 0xc065, 0x38d9, 0xc067, 0x38cd, 0xc068,
-  0x38c0, 0xc069, 0x38b4, 0xc06b, 0x38a7, 0xc06c, 0x389b, 0xc06e,
-  0x388e, 0xc06f, 0x3882, 0xc071, 0x3875, 0xc072, 0x3869, 0xc074,
-  0x385c, 0xc075, 0x3850, 0xc077, 0x3843, 0xc078, 0x3837, 0xc07a,
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-  0x1766, 0xce87, 0x175c, 0xce8f, 0x1753, 0xce97, 0x1749, 0xce9f,
-  0x173f, 0xcea7, 0x1736, 0xceaf, 0x172c, 0xceb7, 0x1722, 0xcebf,
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-  0x16f2, 0xcee7, 0x16e8, 0xceef, 0x16df, 0xcef7, 0x16d5, 0xceff,
-  0x16cb, 0xcf07, 0x16c2, 0xcf10, 0x16b8, 0xcf18, 0x16af, 0xcf20,
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-  0x160c, 0xcfab, 0x1603, 0xcfb3, 0x15f9, 0xcfbb, 0x15f0, 0xcfc4,
-  0x15e6, 0xcfcc, 0x15dd, 0xcfd4, 0x15d4, 0xcfdc, 0x15ca, 0xcfe5,
-  0x15c1, 0xcfed, 0x15b7, 0xcff5, 0x15ae, 0xcffe, 0x15a4, 0xd006,
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-  0x14e0, 0xd0b6, 0x14d7, 0xd0bf, 0x14cd, 0xd0c7, 0x14c4, 0xd0d0,
-  0x14bb, 0xd0d8, 0x14b2, 0xd0e0, 0x14a8, 0xd0e9, 0x149f, 0xd0f2,
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-  0x1403, 0xd183, 0x13fa, 0xd18c, 0x13f1, 0xd195, 0x13e8, 0xd19d,
-  0x13df, 0xd1a6, 0x13d5, 0xd1af, 0x13cc, 0xd1b7, 0x13c3, 0xd1c0,
-  0x13ba, 0xd1c9, 0x13b1, 0xd1d1, 0x13a8, 0xd1da, 0x139f, 0xd1e3,
-  0x1396, 0xd1eb, 0x138d, 0xd1f4, 0x1384, 0xd1fd, 0x137b, 0xd206,
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-  0x1306, 0xd278, 0x12fd, 0xd281, 0x12f4, 0xd28a, 0x12eb, 0xd292,
-  0x12e2, 0xd29b, 0x12d9, 0xd2a4, 0x12d1, 0xd2ad, 0x12c8, 0xd2b6,
-  0x12bf, 0xd2bf, 0x12b6, 0xd2c8, 0x12ad, 0xd2d1, 0x12a4, 0xd2d9,
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-  0x11eb, 0xd396, 0x11e3, 0xd39f, 0x11da, 0xd3a8, 0x11d1, 0xd3b1,
-  0x11c9, 0xd3ba, 0x11c0, 0xd3c3, 0x11b7, 0xd3cc, 0x11af, 0xd3d5,
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-  0xe87, 0xd766, 0xe7f, 0xd770, 0xe77, 0xd77a, 0xe6f, 0xd783,
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-  0xd6d, 0xd8c8, 0xd65, 0xd8d2, 0xd5d, 0xd8dc, 0xd56, 0xd8e6,
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-  0xcb6, 0xd9b8, 0xcaf, 0xd9c2, 0xca7, 0xd9cc, 0xca0, 0xd9d6,
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-  0xb73, 0xdb78, 0xb6c, 0xdb83, 0xb65, 0xdb8d, 0xb5e, 0xdb97,
-  0xb56, 0xdba2, 0xb4f, 0xdbac, 0xb48, 0xdbb6, 0xb41, 0xdbc1,
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-  0xb1e, 0xdbf5, 0xb16, 0xdbff, 0xb0f, 0xdc09, 0xb08, 0xdc14,
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-  0xa5b, 0xdd19, 0xa54, 0xdd24, 0xa4d, 0xdd2e, 0xa46, 0xdd39,
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-  0xa24, 0xdd6e, 0xa1d, 0xdd78, 0xa16, 0xdd83, 0xa10, 0xdd8e,
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-  0x9d3, 0xdded, 0x9cc, 0xddf8, 0x9c6, 0xde02, 0x9bf, 0xde0d,
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-  0x8ce, 0xdf9b, 0x8c8, 0xdfa5, 0x8c1, 0xdfb0, 0x8bb, 0xdfbb,
-  0x8b5, 0xdfc6, 0x8ae, 0xdfd1, 0x8a8, 0xdfdc, 0x8a2, 0xdfe7,
-  0x89b, 0xdff1, 0x895, 0xdffc, 0x88f, 0xe007, 0x889, 0xe012,
-  0x882, 0xe01d, 0x87c, 0xe028, 0x876, 0xe033, 0x870, 0xe03e,
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-  0x807, 0xe0f8, 0x801, 0xe103, 0x7fb, 0xe10e, 0x7f5, 0xe119,
-  0x7ee, 0xe124, 0x7e8, 0xe12f, 0x7e2, 0xe13a, 0x7dc, 0xe145,
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-  0x7be, 0xe17c, 0x7b8, 0xe187, 0x7b2, 0xe192, 0x7ac, 0xe19d,
-  0x7a6, 0xe1a8, 0x7a0, 0xe1b3, 0x79a, 0xe1be, 0x795, 0xe1ca,
-  0x78f, 0xe1d5, 0x789, 0xe1e0, 0x783, 0xe1eb, 0x77d, 0xe1f6,
-  0x777, 0xe201, 0x771, 0xe20c, 0x76b, 0xe217, 0x765, 0xe222,
-  0x75f, 0xe22d, 0x75a, 0xe239, 0x754, 0xe244, 0x74e, 0xe24f,
-  0x748, 0xe25a, 0x742, 0xe265, 0x73d, 0xe270, 0x737, 0xe27b,
-  0x731, 0xe287, 0x72b, 0xe292, 0x725, 0xe29d, 0x720, 0xe2a8,
-  0x71a, 0xe2b3, 0x714, 0xe2be, 0x70e, 0xe2ca, 0x709, 0xe2d5,
-  0x703, 0xe2e0, 0x6fd, 0xe2eb, 0x6f7, 0xe2f6, 0x6f2, 0xe301,
-  0x6ec, 0xe30d, 0x6e6, 0xe318, 0x6e1, 0xe323, 0x6db, 0xe32e,
-  0x6d5, 0xe33a, 0x6d0, 0xe345, 0x6ca, 0xe350, 0x6c5, 0xe35b,
-  0x6bf, 0xe367, 0x6b9, 0xe372, 0x6b4, 0xe37d, 0x6ae, 0xe388,
-  0x6a8, 0xe394, 0x6a3, 0xe39f, 0x69d, 0xe3aa, 0x698, 0xe3b5,
-  0x692, 0xe3c1, 0x68d, 0xe3cc, 0x687, 0xe3d7, 0x682, 0xe3e2,
-  0x67c, 0xe3ee, 0x677, 0xe3f9, 0x671, 0xe404, 0x66c, 0xe410,
-  0x666, 0xe41b, 0x661, 0xe426, 0x65b, 0xe432, 0x656, 0xe43d,
-  0x650, 0xe448, 0x64b, 0xe454, 0x645, 0xe45f, 0x640, 0xe46a,
-  0x63b, 0xe476, 0x635, 0xe481, 0x630, 0xe48c, 0x62a, 0xe498,
-  0x625, 0xe4a3, 0x620, 0xe4ae, 0x61a, 0xe4ba, 0x615, 0xe4c5,
-  0x610, 0xe4d0, 0x60a, 0xe4dc, 0x605, 0xe4e7, 0x600, 0xe4f3,
-  0x5fa, 0xe4fe, 0x5f5, 0xe509, 0x5f0, 0xe515, 0x5ea, 0xe520,
-  0x5e5, 0xe52c, 0x5e0, 0xe537, 0x5db, 0xe542, 0x5d5, 0xe54e,
-  0x5d0, 0xe559, 0x5cb, 0xe565, 0x5c6, 0xe570, 0x5c1, 0xe57c,
-  0x5bb, 0xe587, 0x5b6, 0xe592, 0x5b1, 0xe59e, 0x5ac, 0xe5a9,
-  0x5a7, 0xe5b5, 0x5a1, 0xe5c0, 0x59c, 0xe5cc, 0x597, 0xe5d7,
-  0x592, 0xe5e3, 0x58d, 0xe5ee, 0x588, 0xe5fa, 0x583, 0xe605,
-  0x57e, 0xe611, 0x578, 0xe61c, 0x573, 0xe628, 0x56e, 0xe633,
-  0x569, 0xe63f, 0x564, 0xe64a, 0x55f, 0xe656, 0x55a, 0xe661,
-  0x555, 0xe66d, 0x550, 0xe678, 0x54b, 0xe684, 0x546, 0xe68f,
-  0x541, 0xe69b, 0x53c, 0xe6a6, 0x537, 0xe6b2, 0x532, 0xe6bd,
-  0x52d, 0xe6c9, 0x528, 0xe6d4, 0x523, 0xe6e0, 0x51e, 0xe6ec,
-  0x51a, 0xe6f7, 0x515, 0xe703, 0x510, 0xe70e, 0x50b, 0xe71a,
-  0x506, 0xe725, 0x501, 0xe731, 0x4fc, 0xe73d, 0x4f7, 0xe748,
-  0x4f2, 0xe754, 0x4ee, 0xe75f, 0x4e9, 0xe76b, 0x4e4, 0xe777,
-  0x4df, 0xe782, 0x4da, 0xe78e, 0x4d6, 0xe799, 0x4d1, 0xe7a5,
-  0x4cc, 0xe7b1, 0x4c7, 0xe7bc, 0x4c2, 0xe7c8, 0x4be, 0xe7d3,
-  0x4b9, 0xe7df, 0x4b4, 0xe7eb, 0x4b0, 0xe7f6, 0x4ab, 0xe802,
-  0x4a6, 0xe80e, 0x4a1, 0xe819, 0x49d, 0xe825, 0x498, 0xe831,
-  0x493, 0xe83c, 0x48f, 0xe848, 0x48a, 0xe854, 0x485, 0xe85f,
-  0x481, 0xe86b, 0x47c, 0xe877, 0x478, 0xe882, 0x473, 0xe88e,
-  0x46e, 0xe89a, 0x46a, 0xe8a5, 0x465, 0xe8b1, 0x461, 0xe8bd,
-  0x45c, 0xe8c9, 0x457, 0xe8d4, 0x453, 0xe8e0, 0x44e, 0xe8ec,
-  0x44a, 0xe8f7, 0x445, 0xe903, 0x441, 0xe90f, 0x43c, 0xe91b,
-  0x438, 0xe926, 0x433, 0xe932, 0x42f, 0xe93e, 0x42a, 0xe94a,
-  0x426, 0xe955, 0x422, 0xe961, 0x41d, 0xe96d, 0x419, 0xe979,
-  0x414, 0xe984, 0x410, 0xe990, 0x40b, 0xe99c, 0x407, 0xe9a8,
-  0x403, 0xe9b4, 0x3fe, 0xe9bf, 0x3fa, 0xe9cb, 0x3f6, 0xe9d7,
-  0x3f1, 0xe9e3, 0x3ed, 0xe9ee, 0x3e9, 0xe9fa, 0x3e4, 0xea06,
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-  0x2eee, 0x3daf, 0x2efa, 0x3db2, 0x2f06, 0x3db5, 0x2f13, 0x3db9,
-  0x2f1f, 0x3dbc, 0x2f2b, 0x3dbf, 0x2f37, 0x3dc2, 0x2f43, 0x3dc6,
-  0x2f4f, 0x3dc9, 0x2f5b, 0x3dcc, 0x2f67, 0x3dd0, 0x2f74, 0x3dd3,
-  0x2f80, 0x3dd6, 0x2f8c, 0x3dd9, 0x2f98, 0x3ddd, 0x2fa4, 0x3de0,
-  0x2fb0, 0x3de3, 0x2fbc, 0x3de6, 0x2fc9, 0x3de9, 0x2fd5, 0x3ded,
-  0x2fe1, 0x3df0, 0x2fed, 0x3df3, 0x2ff9, 0x3df6, 0x3005, 0x3df9,
-  0x3012, 0x3dfc, 0x301e, 0x3dff, 0x302a, 0x3e03, 0x3036, 0x3e06,
-  0x3042, 0x3e09, 0x304e, 0x3e0c, 0x305b, 0x3e0f, 0x3067, 0x3e12,
-  0x3073, 0x3e15, 0x307f, 0x3e18, 0x308b, 0x3e1b, 0x3098, 0x3e1e,
-  0x30a4, 0x3e21, 0x30b0, 0x3e24, 0x30bc, 0x3e27, 0x30c8, 0x3e2a,
-  0x30d5, 0x3e2d, 0x30e1, 0x3e30, 0x30ed, 0x3e33, 0x30f9, 0x3e36,
-  0x3105, 0x3e39, 0x3112, 0x3e3c, 0x311e, 0x3e3f, 0x312a, 0x3e42,
-  0x3136, 0x3e45, 0x3143, 0x3e48, 0x314f, 0x3e4a, 0x315b, 0x3e4d,
-  0x3167, 0x3e50, 0x3174, 0x3e53, 0x3180, 0x3e56, 0x318c, 0x3e59,
-  0x3198, 0x3e5c, 0x31a4, 0x3e5e, 0x31b1, 0x3e61, 0x31bd, 0x3e64,
-  0x31c9, 0x3e67, 0x31d5, 0x3e6a, 0x31e2, 0x3e6c, 0x31ee, 0x3e6f,
-  0x31fa, 0x3e72, 0x3207, 0x3e75, 0x3213, 0x3e77, 0x321f, 0x3e7a,
-  0x322b, 0x3e7d, 0x3238, 0x3e80, 0x3244, 0x3e82, 0x3250, 0x3e85,
-  0x325c, 0x3e88, 0x3269, 0x3e8a, 0x3275, 0x3e8d, 0x3281, 0x3e90,
-  0x328e, 0x3e92, 0x329a, 0x3e95, 0x32a6, 0x3e98, 0x32b2, 0x3e9a,
-  0x32bf, 0x3e9d, 0x32cb, 0x3e9f, 0x32d7, 0x3ea2, 0x32e4, 0x3ea5,
-  0x32f0, 0x3ea7, 0x32fc, 0x3eaa, 0x3308, 0x3eac, 0x3315, 0x3eaf,
-  0x3321, 0x3eb1, 0x332d, 0x3eb4, 0x333a, 0x3eb6, 0x3346, 0x3eb9,
-  0x3352, 0x3ebb, 0x335f, 0x3ebe, 0x336b, 0x3ec0, 0x3377, 0x3ec3,
-  0x3384, 0x3ec5, 0x3390, 0x3ec8, 0x339c, 0x3eca, 0x33a9, 0x3ecc,
-  0x33b5, 0x3ecf, 0x33c1, 0x3ed1, 0x33ce, 0x3ed4, 0x33da, 0x3ed6,
-  0x33e6, 0x3ed8, 0x33f3, 0x3edb, 0x33ff, 0x3edd, 0x340b, 0x3ee0,
-  0x3418, 0x3ee2, 0x3424, 0x3ee4, 0x3430, 0x3ee7, 0x343d, 0x3ee9,
-  0x3449, 0x3eeb, 0x3455, 0x3eed, 0x3462, 0x3ef0, 0x346e, 0x3ef2,
-  0x347b, 0x3ef4, 0x3487, 0x3ef7, 0x3493, 0x3ef9, 0x34a0, 0x3efb,
-  0x34ac, 0x3efd, 0x34b8, 0x3f00, 0x34c5, 0x3f02, 0x34d1, 0x3f04,
-  0x34dd, 0x3f06, 0x34ea, 0x3f08, 0x34f6, 0x3f0a, 0x3503, 0x3f0d,
-  0x350f, 0x3f0f, 0x351b, 0x3f11, 0x3528, 0x3f13, 0x3534, 0x3f15,
-  0x3540, 0x3f17, 0x354d, 0x3f19, 0x3559, 0x3f1c, 0x3566, 0x3f1e,
-  0x3572, 0x3f20, 0x357e, 0x3f22, 0x358b, 0x3f24, 0x3597, 0x3f26,
-  0x35a4, 0x3f28, 0x35b0, 0x3f2a, 0x35bc, 0x3f2c, 0x35c9, 0x3f2e,
-  0x35d5, 0x3f30, 0x35e2, 0x3f32, 0x35ee, 0x3f34, 0x35fa, 0x3f36,
-  0x3607, 0x3f38, 0x3613, 0x3f3a, 0x3620, 0x3f3c, 0x362c, 0x3f3e,
-  0x3639, 0x3f40, 0x3645, 0x3f42, 0x3651, 0x3f43, 0x365e, 0x3f45,
-  0x366a, 0x3f47, 0x3677, 0x3f49, 0x3683, 0x3f4b, 0x3690, 0x3f4d,
-  0x369c, 0x3f4f, 0x36a8, 0x3f51, 0x36b5, 0x3f52, 0x36c1, 0x3f54,
-  0x36ce, 0x3f56, 0x36da, 0x3f58, 0x36e7, 0x3f5a, 0x36f3, 0x3f5b,
-  0x36ff, 0x3f5d, 0x370c, 0x3f5f, 0x3718, 0x3f61, 0x3725, 0x3f62,
-  0x3731, 0x3f64, 0x373e, 0x3f66, 0x374a, 0x3f68, 0x3757, 0x3f69,
-  0x3763, 0x3f6b, 0x376f, 0x3f6d, 0x377c, 0x3f6e, 0x3788, 0x3f70,
-  0x3795, 0x3f72, 0x37a1, 0x3f73, 0x37ae, 0x3f75, 0x37ba, 0x3f77,
-  0x37c7, 0x3f78, 0x37d3, 0x3f7a, 0x37e0, 0x3f7b, 0x37ec, 0x3f7d,
-  0x37f9, 0x3f7f, 0x3805, 0x3f80, 0x3811, 0x3f82, 0x381e, 0x3f83,
-  0x382a, 0x3f85, 0x3837, 0x3f86, 0x3843, 0x3f88, 0x3850, 0x3f89,
-  0x385c, 0x3f8b, 0x3869, 0x3f8c, 0x3875, 0x3f8e, 0x3882, 0x3f8f,
-  0x388e, 0x3f91, 0x389b, 0x3f92, 0x38a7, 0x3f94, 0x38b4, 0x3f95,
-  0x38c0, 0x3f97, 0x38cd, 0x3f98, 0x38d9, 0x3f99, 0x38e6, 0x3f9b,
-  0x38f2, 0x3f9c, 0x38ff, 0x3f9e, 0x390b, 0x3f9f, 0x3918, 0x3fa0,
-  0x3924, 0x3fa2, 0x3931, 0x3fa3, 0x393d, 0x3fa4, 0x394a, 0x3fa6,
-  0x3956, 0x3fa7, 0x3963, 0x3fa8, 0x396f, 0x3faa, 0x397c, 0x3fab,
-  0x3988, 0x3fac, 0x3995, 0x3fad, 0x39a1, 0x3faf, 0x39ae, 0x3fb0,
-  0x39ba, 0x3fb1, 0x39c7, 0x3fb2, 0x39d3, 0x3fb4, 0x39e0, 0x3fb5,
-  0x39ec, 0x3fb6, 0x39f9, 0x3fb7, 0x3a05, 0x3fb8, 0x3a12, 0x3fb9,
-  0x3a1e, 0x3fbb, 0x3a2b, 0x3fbc, 0x3a37, 0x3fbd, 0x3a44, 0x3fbe,
-  0x3a50, 0x3fbf, 0x3a5d, 0x3fc0, 0x3a69, 0x3fc1, 0x3a76, 0x3fc3,
-  0x3a82, 0x3fc4, 0x3a8f, 0x3fc5, 0x3a9b, 0x3fc6, 0x3aa8, 0x3fc7,
-  0x3ab4, 0x3fc8, 0x3ac1, 0x3fc9, 0x3acd, 0x3fca, 0x3ada, 0x3fcb,
-  0x3ae6, 0x3fcc, 0x3af3, 0x3fcd, 0x3b00, 0x3fce, 0x3b0c, 0x3fcf,
-  0x3b19, 0x3fd0, 0x3b25, 0x3fd1, 0x3b32, 0x3fd2, 0x3b3e, 0x3fd3,
-  0x3b4b, 0x3fd4, 0x3b57, 0x3fd5, 0x3b64, 0x3fd5, 0x3b70, 0x3fd6,
-  0x3b7d, 0x3fd7, 0x3b89, 0x3fd8, 0x3b96, 0x3fd9, 0x3ba2, 0x3fda,
-  0x3baf, 0x3fdb, 0x3bbc, 0x3fdc, 0x3bc8, 0x3fdc, 0x3bd5, 0x3fdd,
-  0x3be1, 0x3fde, 0x3bee, 0x3fdf, 0x3bfa, 0x3fe0, 0x3c07, 0x3fe0,
-  0x3c13, 0x3fe1, 0x3c20, 0x3fe2, 0x3c2c, 0x3fe3, 0x3c39, 0x3fe3,
-  0x3c45, 0x3fe4, 0x3c52, 0x3fe5, 0x3c5f, 0x3fe6, 0x3c6b, 0x3fe6,
-  0x3c78, 0x3fe7, 0x3c84, 0x3fe8, 0x3c91, 0x3fe8, 0x3c9d, 0x3fe9,
-  0x3caa, 0x3fea, 0x3cb6, 0x3fea, 0x3cc3, 0x3feb, 0x3cd0, 0x3fec,
-  0x3cdc, 0x3fec, 0x3ce9, 0x3fed, 0x3cf5, 0x3fed, 0x3d02, 0x3fee,
-  0x3d0e, 0x3fef, 0x3d1b, 0x3fef, 0x3d27, 0x3ff0, 0x3d34, 0x3ff0,
-  0x3d40, 0x3ff1, 0x3d4d, 0x3ff1, 0x3d5a, 0x3ff2, 0x3d66, 0x3ff2,
-  0x3d73, 0x3ff3, 0x3d7f, 0x3ff3, 0x3d8c, 0x3ff4, 0x3d98, 0x3ff4,
-  0x3da5, 0x3ff5, 0x3db2, 0x3ff5, 0x3dbe, 0x3ff6, 0x3dcb, 0x3ff6,
-  0x3dd7, 0x3ff7, 0x3de4, 0x3ff7, 0x3df0, 0x3ff7, 0x3dfd, 0x3ff8,
-  0x3e09, 0x3ff8, 0x3e16, 0x3ff9, 0x3e23, 0x3ff9, 0x3e2f, 0x3ff9,
-  0x3e3c, 0x3ffa, 0x3e48, 0x3ffa, 0x3e55, 0x3ffa, 0x3e61, 0x3ffb,
-  0x3e6e, 0x3ffb, 0x3e7a, 0x3ffb, 0x3e87, 0x3ffc, 0x3e94, 0x3ffc,
-  0x3ea0, 0x3ffc, 0x3ead, 0x3ffc, 0x3eb9, 0x3ffd, 0x3ec6, 0x3ffd,
-  0x3ed2, 0x3ffd, 0x3edf, 0x3ffd, 0x3eec, 0x3ffe, 0x3ef8, 0x3ffe,
-  0x3f05, 0x3ffe, 0x3f11, 0x3ffe, 0x3f1e, 0x3ffe, 0x3f2a, 0x3fff,
-  0x3f37, 0x3fff, 0x3f44, 0x3fff, 0x3f50, 0x3fff, 0x3f5d, 0x3fff,
-  0x3f69, 0x3fff, 0x3f76, 0x3fff, 0x3f82, 0x4000, 0x3f8f, 0x4000,
-  0x3f9b, 0x4000, 0x3fa8, 0x4000, 0x3fb5, 0x4000, 0x3fc1, 0x4000,
-  0x3fce, 0x4000, 0x3fda, 0x4000, 0x3fe7, 0x4000, 0x3ff3, 0x4000,
-};
-
-/**    
-* \par   
-* Generation of real_CoefB array:    
-* \par    
-* n = 4096    
-* 
for (i = 0; i < n; i++)    
-*  {    
-*    pBTable[2 * i] = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));    
-*    pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));    
-*  } 
   
-* \par    
-* Convert to fixed point Q15 format    
-*       round(pBTable[i] * pow(2, 15))    
-*    
-*/
-
-static const q15_t ALIGN4 realCoefBQ15[8192] = {
-  0x4000, 0x4000, 0x400d, 0x4000, 0x4019, 0x4000, 0x4026, 0x4000,
-  0x4032, 0x4000, 0x403f, 0x4000, 0x404b, 0x4000, 0x4058, 0x4000,
-  0x4065, 0x4000, 0x4071, 0x4000, 0x407e, 0x4000, 0x408a, 0x3fff,
-  0x4097, 0x3fff, 0x40a3, 0x3fff, 0x40b0, 0x3fff, 0x40bc, 0x3fff,
-  0x40c9, 0x3fff, 0x40d6, 0x3fff, 0x40e2, 0x3ffe, 0x40ef, 0x3ffe,
-  0x40fb, 0x3ffe, 0x4108, 0x3ffe, 0x4114, 0x3ffe, 0x4121, 0x3ffd,
-  0x412e, 0x3ffd, 0x413a, 0x3ffd, 0x4147, 0x3ffd, 0x4153, 0x3ffc,
-  0x4160, 0x3ffc, 0x416c, 0x3ffc, 0x4179, 0x3ffc, 0x4186, 0x3ffb,
-  0x4192, 0x3ffb, 0x419f, 0x3ffb, 0x41ab, 0x3ffa, 0x41b8, 0x3ffa,
-  0x41c4, 0x3ffa, 0x41d1, 0x3ff9, 0x41dd, 0x3ff9, 0x41ea, 0x3ff9,
-  0x41f7, 0x3ff8, 0x4203, 0x3ff8, 0x4210, 0x3ff7, 0x421c, 0x3ff7,
-  0x4229, 0x3ff7, 0x4235, 0x3ff6, 0x4242, 0x3ff6, 0x424e, 0x3ff5,
-  0x425b, 0x3ff5, 0x4268, 0x3ff4, 0x4274, 0x3ff4, 0x4281, 0x3ff3,
-  0x428d, 0x3ff3, 0x429a, 0x3ff2, 0x42a6, 0x3ff2, 0x42b3, 0x3ff1,
-  0x42c0, 0x3ff1, 0x42cc, 0x3ff0, 0x42d9, 0x3ff0, 0x42e5, 0x3fef,
-  0x42f2, 0x3fef, 0x42fe, 0x3fee, 0x430b, 0x3fed, 0x4317, 0x3fed,
-  0x4324, 0x3fec, 0x4330, 0x3fec, 0x433d, 0x3feb, 0x434a, 0x3fea,
-  0x4356, 0x3fea, 0x4363, 0x3fe9, 0x436f, 0x3fe8, 0x437c, 0x3fe8,
-  0x4388, 0x3fe7, 0x4395, 0x3fe6, 0x43a1, 0x3fe6, 0x43ae, 0x3fe5,
-  0x43bb, 0x3fe4, 0x43c7, 0x3fe3, 0x43d4, 0x3fe3, 0x43e0, 0x3fe2,
-  0x43ed, 0x3fe1, 0x43f9, 0x3fe0, 0x4406, 0x3fe0, 0x4412, 0x3fdf,
-  0x441f, 0x3fde, 0x442b, 0x3fdd, 0x4438, 0x3fdc, 0x4444, 0x3fdc,
-  0x4451, 0x3fdb, 0x445e, 0x3fda, 0x446a, 0x3fd9, 0x4477, 0x3fd8,
-  0x4483, 0x3fd7, 0x4490, 0x3fd6, 0x449c, 0x3fd5, 0x44a9, 0x3fd5,
-  0x44b5, 0x3fd4, 0x44c2, 0x3fd3, 0x44ce, 0x3fd2, 0x44db, 0x3fd1,
-  0x44e7, 0x3fd0, 0x44f4, 0x3fcf, 0x4500, 0x3fce, 0x450d, 0x3fcd,
-  0x451a, 0x3fcc, 0x4526, 0x3fcb, 0x4533, 0x3fca, 0x453f, 0x3fc9,
-  0x454c, 0x3fc8, 0x4558, 0x3fc7, 0x4565, 0x3fc6, 0x4571, 0x3fc5,
-  0x457e, 0x3fc4, 0x458a, 0x3fc3, 0x4597, 0x3fc1, 0x45a3, 0x3fc0,
-  0x45b0, 0x3fbf, 0x45bc, 0x3fbe, 0x45c9, 0x3fbd, 0x45d5, 0x3fbc,
-  0x45e2, 0x3fbb, 0x45ee, 0x3fb9, 0x45fb, 0x3fb8, 0x4607, 0x3fb7,
-  0x4614, 0x3fb6, 0x4620, 0x3fb5, 0x462d, 0x3fb4, 0x4639, 0x3fb2,
-  0x4646, 0x3fb1, 0x4652, 0x3fb0, 0x465f, 0x3faf, 0x466b, 0x3fad,
-  0x4678, 0x3fac, 0x4684, 0x3fab, 0x4691, 0x3faa, 0x469d, 0x3fa8,
-  0x46aa, 0x3fa7, 0x46b6, 0x3fa6, 0x46c3, 0x3fa4, 0x46cf, 0x3fa3,
-  0x46dc, 0x3fa2, 0x46e8, 0x3fa0, 0x46f5, 0x3f9f, 0x4701, 0x3f9e,
-  0x470e, 0x3f9c, 0x471a, 0x3f9b, 0x4727, 0x3f99, 0x4733, 0x3f98,
-  0x4740, 0x3f97, 0x474c, 0x3f95, 0x4759, 0x3f94, 0x4765, 0x3f92,
-  0x4772, 0x3f91, 0x477e, 0x3f8f, 0x478b, 0x3f8e, 0x4797, 0x3f8c,
-  0x47a4, 0x3f8b, 0x47b0, 0x3f89, 0x47bd, 0x3f88, 0x47c9, 0x3f86,
-  0x47d6, 0x3f85, 0x47e2, 0x3f83, 0x47ef, 0x3f82, 0x47fb, 0x3f80,
-  0x4807, 0x3f7f, 0x4814, 0x3f7d, 0x4820, 0x3f7b, 0x482d, 0x3f7a,
-  0x4839, 0x3f78, 0x4846, 0x3f77, 0x4852, 0x3f75, 0x485f, 0x3f73,
-  0x486b, 0x3f72, 0x4878, 0x3f70, 0x4884, 0x3f6e, 0x4891, 0x3f6d,
-  0x489d, 0x3f6b, 0x48a9, 0x3f69, 0x48b6, 0x3f68, 0x48c2, 0x3f66,
-  0x48cf, 0x3f64, 0x48db, 0x3f62, 0x48e8, 0x3f61, 0x48f4, 0x3f5f,
-  0x4901, 0x3f5d, 0x490d, 0x3f5b, 0x4919, 0x3f5a, 0x4926, 0x3f58,
-  0x4932, 0x3f56, 0x493f, 0x3f54, 0x494b, 0x3f52, 0x4958, 0x3f51,
-  0x4964, 0x3f4f, 0x4970, 0x3f4d, 0x497d, 0x3f4b, 0x4989, 0x3f49,
-  0x4996, 0x3f47, 0x49a2, 0x3f45, 0x49af, 0x3f43, 0x49bb, 0x3f42,
-  0x49c7, 0x3f40, 0x49d4, 0x3f3e, 0x49e0, 0x3f3c, 0x49ed, 0x3f3a,
-  0x49f9, 0x3f38, 0x4a06, 0x3f36, 0x4a12, 0x3f34, 0x4a1e, 0x3f32,
-  0x4a2b, 0x3f30, 0x4a37, 0x3f2e, 0x4a44, 0x3f2c, 0x4a50, 0x3f2a,
-  0x4a5c, 0x3f28, 0x4a69, 0x3f26, 0x4a75, 0x3f24, 0x4a82, 0x3f22,
-  0x4a8e, 0x3f20, 0x4a9a, 0x3f1e, 0x4aa7, 0x3f1c, 0x4ab3, 0x3f19,
-  0x4ac0, 0x3f17, 0x4acc, 0x3f15, 0x4ad8, 0x3f13, 0x4ae5, 0x3f11,
-  0x4af1, 0x3f0f, 0x4afd, 0x3f0d, 0x4b0a, 0x3f0a, 0x4b16, 0x3f08,
-  0x4b23, 0x3f06, 0x4b2f, 0x3f04, 0x4b3b, 0x3f02, 0x4b48, 0x3f00,
-  0x4b54, 0x3efd, 0x4b60, 0x3efb, 0x4b6d, 0x3ef9, 0x4b79, 0x3ef7,
-  0x4b85, 0x3ef4, 0x4b92, 0x3ef2, 0x4b9e, 0x3ef0, 0x4bab, 0x3eed,
-  0x4bb7, 0x3eeb, 0x4bc3, 0x3ee9, 0x4bd0, 0x3ee7, 0x4bdc, 0x3ee4,
-  0x4be8, 0x3ee2, 0x4bf5, 0x3ee0, 0x4c01, 0x3edd, 0x4c0d, 0x3edb,
-  0x4c1a, 0x3ed8, 0x4c26, 0x3ed6, 0x4c32, 0x3ed4, 0x4c3f, 0x3ed1,
-  0x4c4b, 0x3ecf, 0x4c57, 0x3ecc, 0x4c64, 0x3eca, 0x4c70, 0x3ec8,
-  0x4c7c, 0x3ec5, 0x4c89, 0x3ec3, 0x4c95, 0x3ec0, 0x4ca1, 0x3ebe,
-  0x4cae, 0x3ebb, 0x4cba, 0x3eb9, 0x4cc6, 0x3eb6, 0x4cd3, 0x3eb4,
-  0x4cdf, 0x3eb1, 0x4ceb, 0x3eaf, 0x4cf8, 0x3eac, 0x4d04, 0x3eaa,
-  0x4d10, 0x3ea7, 0x4d1c, 0x3ea5, 0x4d29, 0x3ea2, 0x4d35, 0x3e9f,
-  0x4d41, 0x3e9d, 0x4d4e, 0x3e9a, 0x4d5a, 0x3e98, 0x4d66, 0x3e95,
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-  0x6ff2, 0xd59b, 0x6fea, 0xd592, 0x6fe1, 0xd588, 0x6fd9, 0xd57f,
-  0x6fd0, 0xd575, 0x6fc8, 0xd56c, 0x6fc0, 0xd563, 0x6fb7, 0xd559,
-  0x6faf, 0xd550, 0x6fa7, 0xd547, 0x6f9e, 0xd53d, 0x6f96, 0xd534,
-  0x6f8d, 0xd52a, 0x6f85, 0xd521, 0x6f7d, 0xd518, 0x6f74, 0xd50e,
-  0x6f6c, 0xd505, 0x6f63, 0xd4fc, 0x6f5b, 0xd4f3, 0x6f52, 0xd4e9,
-  0x6f4a, 0xd4e0, 0x6f41, 0xd4d7, 0x6f39, 0xd4cd, 0x6f30, 0xd4c4,
-  0x6f28, 0xd4bb, 0x6f20, 0xd4b2, 0x6f17, 0xd4a8, 0x6f0e, 0xd49f,
-  0x6f06, 0xd496, 0x6efd, 0xd48d, 0x6ef5, 0xd483, 0x6eec, 0xd47a,
-  0x6ee4, 0xd471, 0x6edb, 0xd468, 0x6ed3, 0xd45f, 0x6eca, 0xd455,
-  0x6ec2, 0xd44c, 0x6eb9, 0xd443, 0x6eb0, 0xd43a, 0x6ea8, 0xd431,
-  0x6e9f, 0xd428, 0x6e97, 0xd41e, 0x6e8e, 0xd415, 0x6e85, 0xd40c,
-  0x6e7d, 0xd403, 0x6e74, 0xd3fa, 0x6e6b, 0xd3f1, 0x6e63, 0xd3e8,
-  0x6e5a, 0xd3df, 0x6e51, 0xd3d5, 0x6e49, 0xd3cc, 0x6e40, 0xd3c3,
-  0x6e37, 0xd3ba, 0x6e2f, 0xd3b1, 0x6e26, 0xd3a8, 0x6e1d, 0xd39f,
-  0x6e15, 0xd396, 0x6e0c, 0xd38d, 0x6e03, 0xd384, 0x6dfa, 0xd37b,
-  0x6df2, 0xd372, 0x6de9, 0xd369, 0x6de0, 0xd360, 0x6dd7, 0xd357,
-  0x6dcf, 0xd34e, 0x6dc6, 0xd345, 0x6dbd, 0xd33c, 0x6db4, 0xd333,
-  0x6dab, 0xd32a, 0x6da3, 0xd321, 0x6d9a, 0xd318, 0x6d91, 0xd30f,
-  0x6d88, 0xd306, 0x6d7f, 0xd2fd, 0x6d76, 0xd2f4, 0x6d6e, 0xd2eb,
-  0x6d65, 0xd2e2, 0x6d5c, 0xd2d9, 0x6d53, 0xd2d1, 0x6d4a, 0xd2c8,
-  0x6d41, 0xd2bf, 0x6d38, 0xd2b6, 0x6d2f, 0xd2ad, 0x6d27, 0xd2a4,
-  0x6d1e, 0xd29b, 0x6d15, 0xd292, 0x6d0c, 0xd28a, 0x6d03, 0xd281,
-  0x6cfa, 0xd278, 0x6cf1, 0xd26f, 0x6ce8, 0xd266, 0x6cdf, 0xd25d,
-  0x6cd6, 0xd255, 0x6ccd, 0xd24c, 0x6cc4, 0xd243, 0x6cbb, 0xd23a,
-  0x6cb2, 0xd231, 0x6ca9, 0xd229, 0x6ca0, 0xd220, 0x6c97, 0xd217,
-  0x6c8e, 0xd20e, 0x6c85, 0xd206, 0x6c7c, 0xd1fd, 0x6c73, 0xd1f4,
-  0x6c6a, 0xd1eb, 0x6c61, 0xd1e3, 0x6c58, 0xd1da, 0x6c4f, 0xd1d1,
-  0x6c46, 0xd1c9, 0x6c3d, 0xd1c0, 0x6c34, 0xd1b7, 0x6c2b, 0xd1af,
-  0x6c21, 0xd1a6, 0x6c18, 0xd19d, 0x6c0f, 0xd195, 0x6c06, 0xd18c,
-  0x6bfd, 0xd183, 0x6bf4, 0xd17b, 0x6beb, 0xd172, 0x6be2, 0xd169,
-  0x6bd8, 0xd161, 0x6bcf, 0xd158, 0x6bc6, 0xd150, 0x6bbd, 0xd147,
-  0x6bb4, 0xd13e, 0x6bab, 0xd136, 0x6ba1, 0xd12d, 0x6b98, 0xd125,
-  0x6b8f, 0xd11c, 0x6b86, 0xd114, 0x6b7d, 0xd10b, 0x6b73, 0xd103,
-  0x6b6a, 0xd0fa, 0x6b61, 0xd0f2, 0x6b58, 0xd0e9, 0x6b4e, 0xd0e0,
-  0x6b45, 0xd0d8, 0x6b3c, 0xd0d0, 0x6b33, 0xd0c7, 0x6b29, 0xd0bf,
-  0x6b20, 0xd0b6, 0x6b17, 0xd0ae, 0x6b0d, 0xd0a5, 0x6b04, 0xd09d,
-  0x6afb, 0xd094, 0x6af2, 0xd08c, 0x6ae8, 0xd083, 0x6adf, 0xd07b,
-  0x6ad6, 0xd073, 0x6acc, 0xd06a, 0x6ac3, 0xd062, 0x6ab9, 0xd059,
-  0x6ab0, 0xd051, 0x6aa7, 0xd049, 0x6a9d, 0xd040, 0x6a94, 0xd038,
-  0x6a8b, 0xd030, 0x6a81, 0xd027, 0x6a78, 0xd01f, 0x6a6e, 0xd016,
-  0x6a65, 0xd00e, 0x6a5c, 0xd006, 0x6a52, 0xcffe, 0x6a49, 0xcff5,
-  0x6a3f, 0xcfed, 0x6a36, 0xcfe5, 0x6a2c, 0xcfdc, 0x6a23, 0xcfd4,
-  0x6a1a, 0xcfcc, 0x6a10, 0xcfc4, 0x6a07, 0xcfbb, 0x69fd, 0xcfb3,
-  0x69f4, 0xcfab, 0x69ea, 0xcfa3, 0x69e1, 0xcf9a, 0x69d7, 0xcf92,
-  0x69ce, 0xcf8a, 0x69c4, 0xcf82, 0x69bb, 0xcf79, 0x69b1, 0xcf71,
-  0x69a7, 0xcf69, 0x699e, 0xcf61, 0x6994, 0xcf59, 0x698b, 0xcf51,
-  0x6981, 0xcf48, 0x6978, 0xcf40, 0x696e, 0xcf38, 0x6965, 0xcf30,
-  0x695b, 0xcf28, 0x6951, 0xcf20, 0x6948, 0xcf18, 0x693e, 0xcf10,
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-  0x690e, 0xcee7, 0x6904, 0xcedf, 0x68fb, 0xced7, 0x68f1, 0xcecf,
-  0x68e7, 0xcec7, 0x68de, 0xcebf, 0x68d4, 0xceb7, 0x68ca, 0xceaf,
-  0x68c1, 0xcea7, 0x68b7, 0xce9f, 0x68ad, 0xce97, 0x68a4, 0xce8f,
-  0x689a, 0xce87, 0x6890, 0xce7f, 0x6886, 0xce77, 0x687d, 0xce6f,
-  0x6873, 0xce67, 0x6869, 0xce5f, 0x6860, 0xce57, 0x6856, 0xce4f,
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-  0x6825, 0xce28, 0x681b, 0xce20, 0x6811, 0xce18, 0x6808, 0xce10,
-  0x67fe, 0xce08, 0x67f4, 0xce01, 0x67ea, 0xcdf9, 0x67e0, 0xcdf1,
-  0x67d6, 0xcde9, 0x67cd, 0xcde1, 0x67c3, 0xcdd9, 0x67b9, 0xcdd2,
-  0x67af, 0xcdca, 0x67a5, 0xcdc2, 0x679b, 0xcdba, 0x6791, 0xcdb2,
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-  0x66e9, 0xcd30, 0x66df, 0xcd28, 0x66d5, 0xcd20, 0x66cb, 0xcd19,
-  0x66c1, 0xcd11, 0x66b7, 0xcd09, 0x66ad, 0xcd02, 0x66a3, 0xccfa,
-  0x6699, 0xccf3, 0x668f, 0xcceb, 0x6685, 0xcce3, 0x667b, 0xccdc,
-  0x6671, 0xccd4, 0x6666, 0xcccd, 0x665c, 0xccc5, 0x6652, 0xccbe,
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-  0x657e, 0xcc21, 0x6574, 0xcc1a, 0x6569, 0xcc13, 0x655f, 0xcc0b,
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-  0x5edc, 0xc7ee, 0x5ed1, 0xc7e8, 0x5ec6, 0xc7e2, 0x5ebb, 0xc7dc,
-  0x5eb0, 0xc7d6, 0x5ea5, 0xc7d0, 0x5e9a, 0xc7ca, 0x5e8f, 0xc7c4,
-  0x5e84, 0xc7be, 0x5e79, 0xc7b8, 0x5e6e, 0xc7b2, 0x5e63, 0xc7ac,
-  0x5e58, 0xc7a6, 0x5e4d, 0xc7a0, 0x5e42, 0xc79a, 0x5e36, 0xc795,
-  0x5e2b, 0xc78f, 0x5e20, 0xc789, 0x5e15, 0xc783, 0x5e0a, 0xc77d,
-  0x5dff, 0xc777, 0x5df4, 0xc771, 0x5de9, 0xc76b, 0x5dde, 0xc765,
-  0x5dd3, 0xc75f, 0x5dc7, 0xc75a, 0x5dbc, 0xc754, 0x5db1, 0xc74e,
-  0x5da6, 0xc748, 0x5d9b, 0xc742, 0x5d90, 0xc73d, 0x5d85, 0xc737,
-  0x5d79, 0xc731, 0x5d6e, 0xc72b, 0x5d63, 0xc725, 0x5d58, 0xc720,
-  0x5d4d, 0xc71a, 0x5d42, 0xc714, 0x5d36, 0xc70e, 0x5d2b, 0xc709,
-  0x5d20, 0xc703, 0x5d15, 0xc6fd, 0x5d0a, 0xc6f7, 0x5cff, 0xc6f2,
-  0x5cf3, 0xc6ec, 0x5ce8, 0xc6e6, 0x5cdd, 0xc6e1, 0x5cd2, 0xc6db,
-  0x5cc6, 0xc6d5, 0x5cbb, 0xc6d0, 0x5cb0, 0xc6ca, 0x5ca5, 0xc6c5,
-  0x5c99, 0xc6bf, 0x5c8e, 0xc6b9, 0x5c83, 0xc6b4, 0x5c78, 0xc6ae,
-  0x5c6c, 0xc6a8, 0x5c61, 0xc6a3, 0x5c56, 0xc69d, 0x5c4b, 0xc698,
-  0x5c3f, 0xc692, 0x5c34, 0xc68d, 0x5c29, 0xc687, 0x5c1e, 0xc682,
-  0x5c12, 0xc67c, 0x5c07, 0xc677, 0x5bfc, 0xc671, 0x5bf0, 0xc66c,
-  0x5be5, 0xc666, 0x5bda, 0xc661, 0x5bce, 0xc65b, 0x5bc3, 0xc656,
-  0x5bb8, 0xc650, 0x5bac, 0xc64b, 0x5ba1, 0xc645, 0x5b96, 0xc640,
-  0x5b8a, 0xc63b, 0x5b7f, 0xc635, 0x5b74, 0xc630, 0x5b68, 0xc62a,
-  0x5b5d, 0xc625, 0x5b52, 0xc620, 0x5b46, 0xc61a, 0x5b3b, 0xc615,
-  0x5b30, 0xc610, 0x5b24, 0xc60a, 0x5b19, 0xc605, 0x5b0d, 0xc600,
-  0x5b02, 0xc5fa, 0x5af7, 0xc5f5, 0x5aeb, 0xc5f0, 0x5ae0, 0xc5ea,
-  0x5ad4, 0xc5e5, 0x5ac9, 0xc5e0, 0x5abe, 0xc5db, 0x5ab2, 0xc5d5,
-  0x5aa7, 0xc5d0, 0x5a9b, 0xc5cb, 0x5a90, 0xc5c6, 0x5a84, 0xc5c1,
-  0x5a79, 0xc5bb, 0x5a6e, 0xc5b6, 0x5a62, 0xc5b1, 0x5a57, 0xc5ac,
-  0x5a4b, 0xc5a7, 0x5a40, 0xc5a1, 0x5a34, 0xc59c, 0x5a29, 0xc597,
-  0x5a1d, 0xc592, 0x5a12, 0xc58d, 0x5a06, 0xc588, 0x59fb, 0xc583,
-  0x59ef, 0xc57e, 0x59e4, 0xc578, 0x59d8, 0xc573, 0x59cd, 0xc56e,
-  0x59c1, 0xc569, 0x59b6, 0xc564, 0x59aa, 0xc55f, 0x599f, 0xc55a,
-  0x5993, 0xc555, 0x5988, 0xc550, 0x597c, 0xc54b, 0x5971, 0xc546,
-  0x5965, 0xc541, 0x595a, 0xc53c, 0x594e, 0xc537, 0x5943, 0xc532,
-  0x5937, 0xc52d, 0x592c, 0xc528, 0x5920, 0xc523, 0x5914, 0xc51e,
-  0x5909, 0xc51a, 0x58fd, 0xc515, 0x58f2, 0xc510, 0x58e6, 0xc50b,
-  0x58db, 0xc506, 0x58cf, 0xc501, 0x58c3, 0xc4fc, 0x58b8, 0xc4f7,
-  0x58ac, 0xc4f2, 0x58a1, 0xc4ee, 0x5895, 0xc4e9, 0x5889, 0xc4e4,
-  0x587e, 0xc4df, 0x5872, 0xc4da, 0x5867, 0xc4d6, 0x585b, 0xc4d1,
-  0x584f, 0xc4cc, 0x5844, 0xc4c7, 0x5838, 0xc4c2, 0x582d, 0xc4be,
-  0x5821, 0xc4b9, 0x5815, 0xc4b4, 0x580a, 0xc4b0, 0x57fe, 0xc4ab,
-  0x57f2, 0xc4a6, 0x57e7, 0xc4a1, 0x57db, 0xc49d, 0x57cf, 0xc498,
-  0x57c4, 0xc493, 0x57b8, 0xc48f, 0x57ac, 0xc48a, 0x57a1, 0xc485,
-  0x5795, 0xc481, 0x5789, 0xc47c, 0x577e, 0xc478, 0x5772, 0xc473,
-  0x5766, 0xc46e, 0x575b, 0xc46a, 0x574f, 0xc465, 0x5743, 0xc461,
-  0x5737, 0xc45c, 0x572c, 0xc457, 0x5720, 0xc453, 0x5714, 0xc44e,
-  0x5709, 0xc44a, 0x56fd, 0xc445, 0x56f1, 0xc441, 0x56e5, 0xc43c,
-  0x56da, 0xc438, 0x56ce, 0xc433, 0x56c2, 0xc42f, 0x56b6, 0xc42a,
-  0x56ab, 0xc426, 0x569f, 0xc422, 0x5693, 0xc41d, 0x5687, 0xc419,
-  0x567c, 0xc414, 0x5670, 0xc410, 0x5664, 0xc40b, 0x5658, 0xc407,
-  0x564c, 0xc403, 0x5641, 0xc3fe, 0x5635, 0xc3fa, 0x5629, 0xc3f6,
-  0x561d, 0xc3f1, 0x5612, 0xc3ed, 0x5606, 0xc3e9, 0x55fa, 0xc3e4,
-  0x55ee, 0xc3e0, 0x55e2, 0xc3dc, 0x55d7, 0xc3d7, 0x55cb, 0xc3d3,
-  0x55bf, 0xc3cf, 0x55b3, 0xc3ca, 0x55a7, 0xc3c6, 0x559b, 0xc3c2,
-  0x5590, 0xc3be, 0x5584, 0xc3ba, 0x5578, 0xc3b5, 0x556c, 0xc3b1,
-  0x5560, 0xc3ad, 0x5554, 0xc3a9, 0x5549, 0xc3a5, 0x553d, 0xc3a0,
-  0x5531, 0xc39c, 0x5525, 0xc398, 0x5519, 0xc394, 0x550d, 0xc390,
-  0x5501, 0xc38c, 0x54f6, 0xc387, 0x54ea, 0xc383, 0x54de, 0xc37f,
-  0x54d2, 0xc37b, 0x54c6, 0xc377, 0x54ba, 0xc373, 0x54ae, 0xc36f,
-  0x54a2, 0xc36b, 0x5496, 0xc367, 0x548b, 0xc363, 0x547f, 0xc35f,
-  0x5473, 0xc35b, 0x5467, 0xc357, 0x545b, 0xc353, 0x544f, 0xc34f,
-  0x5443, 0xc34b, 0x5437, 0xc347, 0x542b, 0xc343, 0x541f, 0xc33f,
-  0x5413, 0xc33b, 0x5407, 0xc337, 0x53fb, 0xc333, 0x53f0, 0xc32f,
-  0x53e4, 0xc32b, 0x53d8, 0xc327, 0x53cc, 0xc323, 0x53c0, 0xc320,
-  0x53b4, 0xc31c, 0x53a8, 0xc318, 0x539c, 0xc314, 0x5390, 0xc310,
-  0x5384, 0xc30c, 0x5378, 0xc308, 0x536c, 0xc305, 0x5360, 0xc301,
-  0x5354, 0xc2fd, 0x5348, 0xc2f9, 0x533c, 0xc2f5, 0x5330, 0xc2f2,
-  0x5324, 0xc2ee, 0x5318, 0xc2ea, 0x530c, 0xc2e6, 0x5300, 0xc2e3,
-  0x52f4, 0xc2df, 0x52e8, 0xc2db, 0x52dc, 0xc2d8, 0x52d0, 0xc2d4,
-  0x52c4, 0xc2d0, 0x52b8, 0xc2cc, 0x52ac, 0xc2c9, 0x52a0, 0xc2c5,
-  0x5294, 0xc2c1, 0x5288, 0xc2be, 0x527c, 0xc2ba, 0x5270, 0xc2b7,
-  0x5264, 0xc2b3, 0x5258, 0xc2af, 0x524c, 0xc2ac, 0x5240, 0xc2a8,
-  0x5234, 0xc2a5, 0x5228, 0xc2a1, 0x521c, 0xc29d, 0x5210, 0xc29a,
-  0x5204, 0xc296, 0x51f7, 0xc293, 0x51eb, 0xc28f, 0x51df, 0xc28c,
-  0x51d3, 0xc288, 0x51c7, 0xc285, 0x51bb, 0xc281, 0x51af, 0xc27e,
-  0x51a3, 0xc27a, 0x5197, 0xc277, 0x518b, 0xc273, 0x517f, 0xc270,
-  0x5173, 0xc26d, 0x5167, 0xc269, 0x515a, 0xc266, 0x514e, 0xc262,
-  0x5142, 0xc25f, 0x5136, 0xc25c, 0x512a, 0xc258, 0x511e, 0xc255,
-  0x5112, 0xc251, 0x5106, 0xc24e, 0x50fa, 0xc24b, 0x50ed, 0xc247,
-  0x50e1, 0xc244, 0x50d5, 0xc241, 0x50c9, 0xc23e, 0x50bd, 0xc23a,
-  0x50b1, 0xc237, 0x50a5, 0xc234, 0x5099, 0xc230, 0x508c, 0xc22d,
-  0x5080, 0xc22a, 0x5074, 0xc227, 0x5068, 0xc223, 0x505c, 0xc220,
-  0x5050, 0xc21d, 0x5044, 0xc21a, 0x5037, 0xc217, 0x502b, 0xc213,
-  0x501f, 0xc210, 0x5013, 0xc20d, 0x5007, 0xc20a, 0x4ffb, 0xc207,
-  0x4fee, 0xc204, 0x4fe2, 0xc201, 0x4fd6, 0xc1fd, 0x4fca, 0xc1fa,
-  0x4fbe, 0xc1f7, 0x4fb2, 0xc1f4, 0x4fa5, 0xc1f1, 0x4f99, 0xc1ee,
-  0x4f8d, 0xc1eb, 0x4f81, 0xc1e8, 0x4f75, 0xc1e5, 0x4f68, 0xc1e2,
-  0x4f5c, 0xc1df, 0x4f50, 0xc1dc, 0x4f44, 0xc1d9, 0x4f38, 0xc1d6,
-  0x4f2b, 0xc1d3, 0x4f1f, 0xc1d0, 0x4f13, 0xc1cd, 0x4f07, 0xc1ca,
-  0x4efb, 0xc1c7, 0x4eee, 0xc1c4, 0x4ee2, 0xc1c1, 0x4ed6, 0xc1be,
-  0x4eca, 0xc1bb, 0x4ebd, 0xc1b8, 0x4eb1, 0xc1b6, 0x4ea5, 0xc1b3,
-  0x4e99, 0xc1b0, 0x4e8c, 0xc1ad, 0x4e80, 0xc1aa, 0x4e74, 0xc1a7,
-  0x4e68, 0xc1a4, 0x4e5c, 0xc1a2, 0x4e4f, 0xc19f, 0x4e43, 0xc19c,
-  0x4e37, 0xc199, 0x4e2b, 0xc196, 0x4e1e, 0xc194, 0x4e12, 0xc191,
-  0x4e06, 0xc18e, 0x4df9, 0xc18b, 0x4ded, 0xc189, 0x4de1, 0xc186,
-  0x4dd5, 0xc183, 0x4dc8, 0xc180, 0x4dbc, 0xc17e, 0x4db0, 0xc17b,
-  0x4da4, 0xc178, 0x4d97, 0xc176, 0x4d8b, 0xc173, 0x4d7f, 0xc170,
-  0x4d72, 0xc16e, 0x4d66, 0xc16b, 0x4d5a, 0xc168, 0x4d4e, 0xc166,
-  0x4d41, 0xc163, 0x4d35, 0xc161, 0x4d29, 0xc15e, 0x4d1c, 0xc15b,
-  0x4d10, 0xc159, 0x4d04, 0xc156, 0x4cf8, 0xc154, 0x4ceb, 0xc151,
-  0x4cdf, 0xc14f, 0x4cd3, 0xc14c, 0x4cc6, 0xc14a, 0x4cba, 0xc147,
-  0x4cae, 0xc145, 0x4ca1, 0xc142, 0x4c95, 0xc140, 0x4c89, 0xc13d,
-  0x4c7c, 0xc13b, 0x4c70, 0xc138, 0x4c64, 0xc136, 0x4c57, 0xc134,
-  0x4c4b, 0xc131, 0x4c3f, 0xc12f, 0x4c32, 0xc12c, 0x4c26, 0xc12a,
-  0x4c1a, 0xc128, 0x4c0d, 0xc125, 0x4c01, 0xc123, 0x4bf5, 0xc120,
-  0x4be8, 0xc11e, 0x4bdc, 0xc11c, 0x4bd0, 0xc119, 0x4bc3, 0xc117,
-  0x4bb7, 0xc115, 0x4bab, 0xc113, 0x4b9e, 0xc110, 0x4b92, 0xc10e,
-  0x4b85, 0xc10c, 0x4b79, 0xc109, 0x4b6d, 0xc107, 0x4b60, 0xc105,
-  0x4b54, 0xc103, 0x4b48, 0xc100, 0x4b3b, 0xc0fe, 0x4b2f, 0xc0fc,
-  0x4b23, 0xc0fa, 0x4b16, 0xc0f8, 0x4b0a, 0xc0f6, 0x4afd, 0xc0f3,
-  0x4af1, 0xc0f1, 0x4ae5, 0xc0ef, 0x4ad8, 0xc0ed, 0x4acc, 0xc0eb,
-  0x4ac0, 0xc0e9, 0x4ab3, 0xc0e7, 0x4aa7, 0xc0e4, 0x4a9a, 0xc0e2,
-  0x4a8e, 0xc0e0, 0x4a82, 0xc0de, 0x4a75, 0xc0dc, 0x4a69, 0xc0da,
-  0x4a5c, 0xc0d8, 0x4a50, 0xc0d6, 0x4a44, 0xc0d4, 0x4a37, 0xc0d2,
-  0x4a2b, 0xc0d0, 0x4a1e, 0xc0ce, 0x4a12, 0xc0cc, 0x4a06, 0xc0ca,
-  0x49f9, 0xc0c8, 0x49ed, 0xc0c6, 0x49e0, 0xc0c4, 0x49d4, 0xc0c2,
-  0x49c7, 0xc0c0, 0x49bb, 0xc0be, 0x49af, 0xc0bd, 0x49a2, 0xc0bb,
-  0x4996, 0xc0b9, 0x4989, 0xc0b7, 0x497d, 0xc0b5, 0x4970, 0xc0b3,
-  0x4964, 0xc0b1, 0x4958, 0xc0af, 0x494b, 0xc0ae, 0x493f, 0xc0ac,
-  0x4932, 0xc0aa, 0x4926, 0xc0a8, 0x4919, 0xc0a6, 0x490d, 0xc0a5,
-  0x4901, 0xc0a3, 0x48f4, 0xc0a1, 0x48e8, 0xc09f, 0x48db, 0xc09e,
-  0x48cf, 0xc09c, 0x48c2, 0xc09a, 0x48b6, 0xc098, 0x48a9, 0xc097,
-  0x489d, 0xc095, 0x4891, 0xc093, 0x4884, 0xc092, 0x4878, 0xc090,
-  0x486b, 0xc08e, 0x485f, 0xc08d, 0x4852, 0xc08b, 0x4846, 0xc089,
-  0x4839, 0xc088, 0x482d, 0xc086, 0x4820, 0xc085, 0x4814, 0xc083,
-  0x4807, 0xc081, 0x47fb, 0xc080, 0x47ef, 0xc07e, 0x47e2, 0xc07d,
-  0x47d6, 0xc07b, 0x47c9, 0xc07a, 0x47bd, 0xc078, 0x47b0, 0xc077,
-  0x47a4, 0xc075, 0x4797, 0xc074, 0x478b, 0xc072, 0x477e, 0xc071,
-  0x4772, 0xc06f, 0x4765, 0xc06e, 0x4759, 0xc06c, 0x474c, 0xc06b,
-  0x4740, 0xc069, 0x4733, 0xc068, 0x4727, 0xc067, 0x471a, 0xc065,
-  0x470e, 0xc064, 0x4701, 0xc062, 0x46f5, 0xc061, 0x46e8, 0xc060,
-  0x46dc, 0xc05e, 0x46cf, 0xc05d, 0x46c3, 0xc05c, 0x46b6, 0xc05a,
-  0x46aa, 0xc059, 0x469d, 0xc058, 0x4691, 0xc056, 0x4684, 0xc055,
-  0x4678, 0xc054, 0x466b, 0xc053, 0x465f, 0xc051, 0x4652, 0xc050,
-  0x4646, 0xc04f, 0x4639, 0xc04e, 0x462d, 0xc04c, 0x4620, 0xc04b,
-  0x4614, 0xc04a, 0x4607, 0xc049, 0x45fb, 0xc048, 0x45ee, 0xc047,
-  0x45e2, 0xc045, 0x45d5, 0xc044, 0x45c9, 0xc043, 0x45bc, 0xc042,
-  0x45b0, 0xc041, 0x45a3, 0xc040, 0x4597, 0xc03f, 0x458a, 0xc03d,
-  0x457e, 0xc03c, 0x4571, 0xc03b, 0x4565, 0xc03a, 0x4558, 0xc039,
-  0x454c, 0xc038, 0x453f, 0xc037, 0x4533, 0xc036, 0x4526, 0xc035,
-  0x451a, 0xc034, 0x450d, 0xc033, 0x4500, 0xc032, 0x44f4, 0xc031,
-  0x44e7, 0xc030, 0x44db, 0xc02f, 0x44ce, 0xc02e, 0x44c2, 0xc02d,
-  0x44b5, 0xc02c, 0x44a9, 0xc02b, 0x449c, 0xc02b, 0x4490, 0xc02a,
-  0x4483, 0xc029, 0x4477, 0xc028, 0x446a, 0xc027, 0x445e, 0xc026,
-  0x4451, 0xc025, 0x4444, 0xc024, 0x4438, 0xc024, 0x442b, 0xc023,
-  0x441f, 0xc022, 0x4412, 0xc021, 0x4406, 0xc020, 0x43f9, 0xc020,
-  0x43ed, 0xc01f, 0x43e0, 0xc01e, 0x43d4, 0xc01d, 0x43c7, 0xc01d,
-  0x43bb, 0xc01c, 0x43ae, 0xc01b, 0x43a1, 0xc01a, 0x4395, 0xc01a,
-  0x4388, 0xc019, 0x437c, 0xc018, 0x436f, 0xc018, 0x4363, 0xc017,
-  0x4356, 0xc016, 0x434a, 0xc016, 0x433d, 0xc015, 0x4330, 0xc014,
-  0x4324, 0xc014, 0x4317, 0xc013, 0x430b, 0xc013, 0x42fe, 0xc012,
-  0x42f2, 0xc011, 0x42e5, 0xc011, 0x42d9, 0xc010, 0x42cc, 0xc010,
-  0x42c0, 0xc00f, 0x42b3, 0xc00f, 0x42a6, 0xc00e, 0x429a, 0xc00e,
-  0x428d, 0xc00d, 0x4281, 0xc00d, 0x4274, 0xc00c, 0x4268, 0xc00c,
-  0x425b, 0xc00b, 0x424e, 0xc00b, 0x4242, 0xc00a, 0x4235, 0xc00a,
-  0x4229, 0xc009, 0x421c, 0xc009, 0x4210, 0xc009, 0x4203, 0xc008,
-  0x41f7, 0xc008, 0x41ea, 0xc007, 0x41dd, 0xc007, 0x41d1, 0xc007,
-  0x41c4, 0xc006, 0x41b8, 0xc006, 0x41ab, 0xc006, 0x419f, 0xc005,
-  0x4192, 0xc005, 0x4186, 0xc005, 0x4179, 0xc004, 0x416c, 0xc004,
-  0x4160, 0xc004, 0x4153, 0xc004, 0x4147, 0xc003, 0x413a, 0xc003,
-  0x412e, 0xc003, 0x4121, 0xc003, 0x4114, 0xc002, 0x4108, 0xc002,
-  0x40fb, 0xc002, 0x40ef, 0xc002, 0x40e2, 0xc002, 0x40d6, 0xc001,
-  0x40c9, 0xc001, 0x40bc, 0xc001, 0x40b0, 0xc001, 0x40a3, 0xc001,
-  0x4097, 0xc001, 0x408a, 0xc001, 0x407e, 0xc000, 0x4071, 0xc000,
-  0x4065, 0xc000, 0x4058, 0xc000, 0x404b, 0xc000, 0x403f, 0xc000,
-  0x4032, 0xc000, 0x4026, 0xc000, 0x4019, 0xc000, 0x400d, 0xc000,
-};
-
-/**    
-* @brief  Initialization function for the Q15 RFFT/RIFFT.   
-* @param[in, out] *S             points to an instance of the Q15 RFFT/RIFFT structure.   
-* @param[in]      *S_CFFT        points to an instance of the Q15 CFFT/CIFFT structure.   
-* @param[in]      fftLenReal     length of the FFT.   
-* @param[in]      ifftFlagR      flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform.   
-* @param[in]      bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.   
-* @return		The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLenReal is not a supported value.   
-*    
-* \par Description:   
-* \par   
-* The parameter fftLenReal	Specifies length of RFFT/RIFFT Process. Supported FFT Lengths are 128, 512, 2048.    
-* \par    
-* The parameter ifftFlagR controls whether a forward or inverse transform is computed.    
-* Set(=1) ifftFlagR to calculate RIFFT, otherwise RFFT is calculated.    
-* \par    
-* The parameter bitReverseFlag controls whether output is in normal order or bit reversed order.    
-* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.   
-* \par    
-* This function also initializes Twiddle factor table.     
-*/
-
-arm_status arm_rfft_init_q15(
-  arm_rfft_instance_q15 * S,
-  arm_cfft_radix4_instance_q15 * S_CFFT,
-  uint32_t fftLenReal,
-  uint32_t ifftFlagR,
-  uint32_t bitReverseFlag)
-{
-
-  /*  Initialise the default arm status */
-  arm_status status = ARM_MATH_SUCCESS;
-
-  /*  Initialize the Real FFT length */
-  S->fftLenReal = (uint16_t) fftLenReal;
-
-  /*  Initialize the Complex FFT length */
-  S->fftLenBy2 = (uint16_t) fftLenReal / 2u;
-
-  /*  Initialize the Twiddle coefficientA pointer */
-  S->pTwiddleAReal = (q15_t *) realCoefAQ15;
-
-  /*  Initialize the Twiddle coefficientB pointer */
-  S->pTwiddleBReal = (q15_t *) realCoefBQ15;
-
-  /*  Initialize the Flag for selection of RFFT or RIFFT */
-  S->ifftFlagR = (uint8_t) ifftFlagR;
-
-  /*  Initialize the Flag for calculation Bit reversal or not */
-  S->bitReverseFlagR = (uint8_t) bitReverseFlag;
-
-  /*  Initialization of coef modifier depending on the FFT length */
-  switch (S->fftLenReal)
-  {
-  case 8192:
-    S->twidCoefRModifier = 1u;
-    break;
-  case 2048u:
-    S->twidCoefRModifier = 4u;
-    break;
-  case 512u:
-    S->twidCoefRModifier = 16u;
-    break;
-  case 128u:
-    S->twidCoefRModifier = 64u;
-    break;
-  default:
-    /*  Reporting argument error if rfftSize is not valid value */
-    status = ARM_MATH_ARGUMENT_ERROR;
-    break;
-  }
-
-  /* Init Complex FFT Instance */
-  S->pCfft = S_CFFT;
-
-  if(S->ifftFlagR)
-  {
-    /* Initializes the CIFFT Module for fftLenreal/2 length */
-    arm_cfft_radix4_init_q15(S->pCfft, S->fftLenBy2, 1u, 1u);
-  }
-  else
-  {
-    /* Initializes the CFFT Module for fftLenreal/2 length */
-    arm_cfft_radix4_init_q15(S->pCfft, S->fftLenBy2, 0u, 1u);
-  }
-
-  /* return the status of RFFT Init function */
-  return (status);
-
-}
-
-  /**    
-   * @} end of RFFT_RIFFT group    
-   */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_init_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_init_q31.c
deleted file mode 100644
index 400fe586c..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_init_q31.c
+++ /dev/null
@@ -1,4274 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_rfft_init_q31.c    
-*    
-* Description:	RFFT & RIFFT Q31 initialisation function    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**    
- * @ingroup groupTransforms    
- */
-
-/**    
- * @addtogroup RFFT_RIFFT    
- * @{    
- */
-
-/**    
-* \par    
-* Generation floating point realCoefAQ31 array:    
-* \par    
-* n = 4096    
-* 
for (i = 0; i < n; i++)    
-* {    
-*    pATable[2 * i] = 0.5 * (1.0 - sin (2 * PI / (double) (2 * n) * (double) i));    
-*    pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));    
-* }
    
-* \par    
-* Convert to fixed point Q31 format    
-*     round(pATable[i] * pow(2, 31))    
-*/
-
-
-static const q31_t realCoefAQ31[8192] = {
-  0x40000000, 0xc0000000, 0x3ff36f02, 0xc000013c,
-  0x3fe6de05, 0xc00004ef, 0x3fda4d09, 0xc0000b1a,
-  0x3fcdbc0f, 0xc00013bd, 0x3fc12b16, 0xc0001ed8,
-  0x3fb49a1f, 0xc0002c6a, 0x3fa8092c, 0xc0003c74,
-  0x3f9b783c, 0xc0004ef5, 0x3f8ee750, 0xc00063ee,
-  0x3f825668, 0xc0007b5f, 0x3f75c585, 0xc0009547,
-  0x3f6934a8, 0xc000b1a7, 0x3f5ca3d0, 0xc000d07e,
-  0x3f5012fe, 0xc000f1ce, 0x3f438234, 0xc0011594,
-  0x3f36f170, 0xc0013bd3, 0x3f2a60b4, 0xc0016489,
-  0x3f1dd001, 0xc0018fb6, 0x3f113f56, 0xc001bd5c,
-  0x3f04aeb5, 0xc001ed78, 0x3ef81e1d, 0xc002200d,
-  0x3eeb8d8f, 0xc0025519, 0x3edefd0c, 0xc0028c9c,
-  0x3ed26c94, 0xc002c697, 0x3ec5dc28, 0xc003030a,
-  0x3eb94bc8, 0xc00341f4, 0x3eacbb74, 0xc0038356,
-  0x3ea02b2e, 0xc003c72f, 0x3e939af5, 0xc0040d80,
-  0x3e870aca, 0xc0045648, 0x3e7a7aae, 0xc004a188,
-  0x3e6deaa1, 0xc004ef3f, 0x3e615aa3, 0xc0053f6e,
-  0x3e54cab5, 0xc0059214, 0x3e483ad8, 0xc005e731,
-  0x3e3bab0b, 0xc0063ec6, 0x3e2f1b50, 0xc00698d3,
-  0x3e228ba7, 0xc006f556, 0x3e15fc11, 0xc0075452,
-  0x3e096c8d, 0xc007b5c4, 0x3dfcdd1d, 0xc00819ae,
-  0x3df04dc0, 0xc008800f, 0x3de3be78, 0xc008e8e8,
-  0x3dd72f45, 0xc0095438, 0x3dcaa027, 0xc009c1ff,
-  0x3dbe111e, 0xc00a323d, 0x3db1822c, 0xc00aa4f3,
-  0x3da4f351, 0xc00b1a20, 0x3d98648d, 0xc00b91c4,
-  0x3d8bd5e1, 0xc00c0be0, 0x3d7f474d, 0xc00c8872,
-  0x3d72b8d2, 0xc00d077c, 0x3d662a70, 0xc00d88fd,
-  0x3d599c28, 0xc00e0cf5, 0x3d4d0df9, 0xc00e9364,
-  0x3d407fe6, 0xc00f1c4a, 0x3d33f1ed, 0xc00fa7a8,
-  0x3d276410, 0xc010357c, 0x3d1ad650, 0xc010c5c7,
-  0x3d0e48ab, 0xc011588a, 0x3d01bb24, 0xc011edc3,
-  0x3cf52dbb, 0xc0128574, 0x3ce8a06f, 0xc0131f9b,
-  0x3cdc1342, 0xc013bc39, 0x3ccf8634, 0xc0145b4e,
-  0x3cc2f945, 0xc014fcda, 0x3cb66c77, 0xc015a0dd,
-  0x3ca9dfc8, 0xc0164757, 0x3c9d533b, 0xc016f047,
-  0x3c90c6cf, 0xc0179bae, 0x3c843a85, 0xc018498c,
-  0x3c77ae5e, 0xc018f9e1, 0x3c6b2259, 0xc019acac,
-  0x3c5e9678, 0xc01a61ee, 0x3c520aba, 0xc01b19a7,
-  0x3c457f21, 0xc01bd3d6, 0x3c38f3ac, 0xc01c907c,
-  0x3c2c685d, 0xc01d4f99, 0x3c1fdd34, 0xc01e112b,
-  0x3c135231, 0xc01ed535, 0x3c06c754, 0xc01f9bb5,
-  0x3bfa3c9f, 0xc02064ab, 0x3bedb212, 0xc0213018,
-  0x3be127ac, 0xc021fdfb, 0x3bd49d70, 0xc022ce54,
-  0x3bc8135c, 0xc023a124, 0x3bbb8973, 0xc024766a,
-  0x3baeffb3, 0xc0254e27, 0x3ba2761e, 0xc0262859,
-  0x3b95ecb4, 0xc0270502, 0x3b896375, 0xc027e421,
-  0x3b7cda63, 0xc028c5b6, 0x3b70517d, 0xc029a9c1,
-  0x3b63c8c4, 0xc02a9042, 0x3b574039, 0xc02b7939,
-  0x3b4ab7db, 0xc02c64a6, 0x3b3e2fac, 0xc02d5289,
-  0x3b31a7ac, 0xc02e42e2, 0x3b251fdc, 0xc02f35b1,
-  0x3b18983b, 0xc0302af5, 0x3b0c10cb, 0xc03122b0,
-  0x3aff898c, 0xc0321ce0, 0x3af3027e, 0xc0331986,
-  0x3ae67ba2, 0xc03418a2, 0x3ad9f4f8, 0xc0351a33,
-  0x3acd6e81, 0xc0361e3a, 0x3ac0e83d, 0xc03724b6,
-  0x3ab4622d, 0xc0382da8, 0x3aa7dc52, 0xc0393910,
-  0x3a9b56ab, 0xc03a46ed, 0x3a8ed139, 0xc03b573f,
-  0x3a824bfd, 0xc03c6a07, 0x3a75c6f8, 0xc03d7f44,
-  0x3a694229, 0xc03e96f6, 0x3a5cbd91, 0xc03fb11d,
-  0x3a503930, 0xc040cdba, 0x3a43b508, 0xc041eccc,
-  0x3a373119, 0xc0430e53, 0x3a2aad62, 0xc044324f,
-  0x3a1e29e5, 0xc04558c0, 0x3a11a6a3, 0xc04681a6,
-  0x3a05239a, 0xc047ad01, 0x39f8a0cd, 0xc048dad1,
-  0x39ec1e3b, 0xc04a0b16, 0x39df9be6, 0xc04b3dcf,
-  0x39d319cc, 0xc04c72fe, 0x39c697f0, 0xc04daaa1,
-  0x39ba1651, 0xc04ee4b8, 0x39ad94f0, 0xc0502145,
-  0x39a113cd, 0xc0516045, 0x399492ea, 0xc052a1bb,
-  0x39881245, 0xc053e5a5, 0x397b91e1, 0xc0552c03,
-  0x396f11bc, 0xc05674d6, 0x396291d9, 0xc057c01d,
-  0x39561237, 0xc0590dd8, 0x394992d7, 0xc05a5e07,
-  0x393d13b8, 0xc05bb0ab, 0x393094dd, 0xc05d05c3,
-  0x39241645, 0xc05e5d4e, 0x391797f0, 0xc05fb74e,
-  0x390b19e0, 0xc06113c2, 0x38fe9c15, 0xc06272aa,
-  0x38f21e8e, 0xc063d405, 0x38e5a14d, 0xc06537d4,
-  0x38d92452, 0xc0669e18, 0x38cca79e, 0xc06806ce,
-  0x38c02b31, 0xc06971f9, 0x38b3af0c, 0xc06adf97,
-  0x38a7332e, 0xc06c4fa8, 0x389ab799, 0xc06dc22e,
-  0x388e3c4d, 0xc06f3726, 0x3881c14b, 0xc070ae92,
-  0x38754692, 0xc0722871, 0x3868cc24, 0xc073a4c3,
-  0x385c5201, 0xc0752389, 0x384fd829, 0xc076a4c2,
-  0x38435e9d, 0xc078286e, 0x3836e55d, 0xc079ae8c,
-  0x382a6c6a, 0xc07b371e, 0x381df3c5, 0xc07cc223,
-  0x38117b6d, 0xc07e4f9b, 0x38050364, 0xc07fdf85,
-  0x37f88ba9, 0xc08171e2, 0x37ec143e, 0xc08306b2,
-  0x37df9d22, 0xc0849df4, 0x37d32657, 0xc08637a9,
-  0x37c6afdc, 0xc087d3d0, 0x37ba39b3, 0xc089726a,
-  0x37adc3db, 0xc08b1376, 0x37a14e55, 0xc08cb6f5,
-  0x3794d922, 0xc08e5ce5, 0x37886442, 0xc0900548,
-  0x377befb5, 0xc091b01d, 0x376f7b7d, 0xc0935d64,
-  0x37630799, 0xc0950d1d, 0x3756940a, 0xc096bf48,
-  0x374a20d0, 0xc09873e4, 0x373daded, 0xc09a2af3,
-  0x37313b60, 0xc09be473, 0x3724c92a, 0xc09da065,
-  0x3718574b, 0xc09f5ec8, 0x370be5c4, 0xc0a11f9d,
-  0x36ff7496, 0xc0a2e2e3, 0x36f303c0, 0xc0a4a89b,
-  0x36e69344, 0xc0a670c4, 0x36da2321, 0xc0a83b5e,
-  0x36cdb359, 0xc0aa086a, 0x36c143ec, 0xc0abd7e6,
-  0x36b4d4d9, 0xc0ada9d4, 0x36a86623, 0xc0af7e33,
-  0x369bf7c9, 0xc0b15502, 0x368f89cb, 0xc0b32e42,
-  0x36831c2b, 0xc0b509f3, 0x3676aee8, 0xc0b6e815,
-  0x366a4203, 0xc0b8c8a7, 0x365dd57d, 0xc0baabaa,
-  0x36516956, 0xc0bc911d, 0x3644fd8f, 0xc0be7901,
-  0x36389228, 0xc0c06355, 0x362c2721, 0xc0c25019,
-  0x361fbc7b, 0xc0c43f4d, 0x36135237, 0xc0c630f2,
-  0x3606e854, 0xc0c82506, 0x35fa7ed4, 0xc0ca1b8a,
-  0x35ee15b7, 0xc0cc147f, 0x35e1acfd, 0xc0ce0fe3,
-  0x35d544a7, 0xc0d00db6, 0x35c8dcb6, 0xc0d20dfa,
-  0x35bc7529, 0xc0d410ad, 0x35b00e02, 0xc0d615cf,
-  0x35a3a740, 0xc0d81d61, 0x359740e5, 0xc0da2762,
-  0x358adaf0, 0xc0dc33d2, 0x357e7563, 0xc0de42b2,
-  0x3572103d, 0xc0e05401, 0x3565ab80, 0xc0e267be,
-  0x3559472b, 0xc0e47deb, 0x354ce33f, 0xc0e69686,
-  0x35407fbd, 0xc0e8b190, 0x35341ca5, 0xc0eacf09,
-  0x3527b9f7, 0xc0eceef1, 0x351b57b5, 0xc0ef1147,
-  0x350ef5de, 0xc0f1360b, 0x35029473, 0xc0f35d3e,
-  0x34f63374, 0xc0f586df, 0x34e9d2e3, 0xc0f7b2ee,
-  0x34dd72be, 0xc0f9e16b, 0x34d11308, 0xc0fc1257,
-  0x34c4b3c0, 0xc0fe45b0, 0x34b854e7, 0xc1007b77,
-  0x34abf67e, 0xc102b3ac, 0x349f9884, 0xc104ee4f,
-  0x34933afa, 0xc1072b5f, 0x3486dde1, 0xc1096add,
-  0x347a8139, 0xc10bacc8, 0x346e2504, 0xc10df120,
-  0x3461c940, 0xc11037e6, 0x34556def, 0xc1128119,
-  0x34491311, 0xc114ccb9, 0x343cb8a7, 0xc1171ac6,
-  0x34305eb0, 0xc1196b3f, 0x3424052f, 0xc11bbe26,
-  0x3417ac22, 0xc11e1379, 0x340b538b, 0xc1206b39,
-  0x33fefb6a, 0xc122c566, 0x33f2a3bf, 0xc12521ff,
-  0x33e64c8c, 0xc1278104, 0x33d9f5cf, 0xc129e276,
-  0x33cd9f8b, 0xc12c4653, 0x33c149bf, 0xc12eac9d,
-  0x33b4f46c, 0xc1311553, 0x33a89f92, 0xc1338075,
-  0x339c4b32, 0xc135ee02, 0x338ff74d, 0xc1385dfb,
-  0x3383a3e2, 0xc13ad060, 0x337750f2, 0xc13d4530,
-  0x336afe7e, 0xc13fbc6c, 0x335eac86, 0xc1423613,
-  0x33525b0b, 0xc144b225, 0x33460a0d, 0xc14730a3,
-  0x3339b98d, 0xc149b18b, 0x332d698a, 0xc14c34df,
-  0x33211a07, 0xc14eba9d, 0x3314cb02, 0xc15142c6,
-  0x33087c7d, 0xc153cd5a, 0x32fc2e77, 0xc1565a58,
-  0x32efe0f2, 0xc158e9c1, 0x32e393ef, 0xc15b7b94,
-  0x32d7476c, 0xc15e0fd1, 0x32cafb6b, 0xc160a678,
-  0x32beafed, 0xc1633f8a, 0x32b264f2, 0xc165db05,
-  0x32a61a7a, 0xc16878eb, 0x3299d085, 0xc16b193a,
-  0x328d8715, 0xc16dbbf3, 0x32813e2a, 0xc1706115,
-  0x3274f5c3, 0xc17308a1, 0x3268ade3, 0xc175b296,
-  0x325c6688, 0xc1785ef4, 0x32501fb5, 0xc17b0dbb,
-  0x3243d968, 0xc17dbeec, 0x323793a3, 0xc1807285,
-  0x322b4e66, 0xc1832888, 0x321f09b1, 0xc185e0f3,
-  0x3212c585, 0xc1889bc6, 0x320681e3, 0xc18b5903,
-  0x31fa3ecb, 0xc18e18a7, 0x31edfc3d, 0xc190dab4,
-  0x31e1ba3a, 0xc1939f29, 0x31d578c2, 0xc1966606,
-  0x31c937d6, 0xc1992f4c, 0x31bcf777, 0xc19bfaf9,
-  0x31b0b7a4, 0xc19ec90d, 0x31a4785e, 0xc1a1998a,
-  0x319839a6, 0xc1a46c6e, 0x318bfb7d, 0xc1a741b9,
-  0x317fbde2, 0xc1aa196c, 0x317380d6, 0xc1acf386,
-  0x31674459, 0xc1afd007, 0x315b086d, 0xc1b2aef0,
-  0x314ecd11, 0xc1b5903f, 0x31429247, 0xc1b873f5,
-  0x3136580d, 0xc1bb5a11, 0x312a1e66, 0xc1be4294,
-  0x311de551, 0xc1c12d7e, 0x3111accf, 0xc1c41ace,
-  0x310574e0, 0xc1c70a84, 0x30f93d86, 0xc1c9fca0,
-  0x30ed06bf, 0xc1ccf122, 0x30e0d08d, 0xc1cfe80a,
-  0x30d49af1, 0xc1d2e158, 0x30c865ea, 0xc1d5dd0c,
-  0x30bc317a, 0xc1d8db25, 0x30affda0, 0xc1dbdba3,
-  0x30a3ca5d, 0xc1dede87, 0x309797b2, 0xc1e1e3d0,
-  0x308b659f, 0xc1e4eb7e, 0x307f3424, 0xc1e7f591,
-  0x30730342, 0xc1eb0209, 0x3066d2fa, 0xc1ee10e5,
-  0x305aa34c, 0xc1f12227, 0x304e7438, 0xc1f435cc,
-  0x304245c0, 0xc1f74bd6, 0x303617e2, 0xc1fa6445,
-  0x3029eaa1, 0xc1fd7f17, 0x301dbdfb, 0xc2009c4e,
-  0x301191f3, 0xc203bbe8, 0x30056687, 0xc206dde6,
-  0x2ff93bba, 0xc20a0248, 0x2fed118a, 0xc20d290d,
-  0x2fe0e7f9, 0xc2105236, 0x2fd4bf08, 0xc2137dc2,
-  0x2fc896b5, 0xc216abb1, 0x2fbc6f03, 0xc219dc03,
-  0x2fb047f2, 0xc21d0eb8, 0x2fa42181, 0xc22043d0,
-  0x2f97fbb2, 0xc2237b4b, 0x2f8bd685, 0xc226b528,
-  0x2f7fb1fa, 0xc229f167, 0x2f738e12, 0xc22d3009,
-  0x2f676ace, 0xc230710d, 0x2f5b482d, 0xc233b473,
-  0x2f4f2630, 0xc236fa3b, 0x2f4304d8, 0xc23a4265,
-  0x2f36e426, 0xc23d8cf1, 0x2f2ac419, 0xc240d9de,
-  0x2f1ea4b2, 0xc244292c, 0x2f1285f2, 0xc2477adc,
-  0x2f0667d9, 0xc24aceed, 0x2efa4a67, 0xc24e255e,
-  0x2eee2d9d, 0xc2517e31, 0x2ee2117c, 0xc254d965,
-  0x2ed5f604, 0xc25836f9, 0x2ec9db35, 0xc25b96ee,
-  0x2ebdc110, 0xc25ef943, 0x2eb1a796, 0xc2625df8,
-  0x2ea58ec6, 0xc265c50e, 0x2e9976a1, 0xc2692e83,
-  0x2e8d5f29, 0xc26c9a58, 0x2e81485c, 0xc270088e,
-  0x2e75323c, 0xc2737922, 0x2e691cc9, 0xc276ec16,
-  0x2e5d0804, 0xc27a616a, 0x2e50f3ed, 0xc27dd91c,
-  0x2e44e084, 0xc281532e, 0x2e38cdcb, 0xc284cf9f,
-  0x2e2cbbc1, 0xc2884e6e, 0x2e20aa67, 0xc28bcf9c,
-  0x2e1499bd, 0xc28f5329, 0x2e0889c4, 0xc292d914,
-  0x2dfc7a7c, 0xc296615d, 0x2df06be6, 0xc299ec05,
-  0x2de45e03, 0xc29d790a, 0x2dd850d2, 0xc2a1086d,
-  0x2dcc4454, 0xc2a49a2e, 0x2dc0388a, 0xc2a82e4d,
-  0x2db42d74, 0xc2abc4c9, 0x2da82313, 0xc2af5da2,
-  0x2d9c1967, 0xc2b2f8d8, 0x2d901070, 0xc2b6966c,
-  0x2d84082f, 0xc2ba365c, 0x2d7800a5, 0xc2bdd8a9,
-  0x2d6bf9d1, 0xc2c17d52, 0x2d5ff3b5, 0xc2c52459,
-  0x2d53ee51, 0xc2c8cdbb, 0x2d47e9a5, 0xc2cc7979,
-  0x2d3be5b1, 0xc2d02794, 0x2d2fe277, 0xc2d3d80a,
-  0x2d23dff7, 0xc2d78add, 0x2d17de31, 0xc2db400a,
-  0x2d0bdd25, 0xc2def794, 0x2cffdcd4, 0xc2e2b178,
-  0x2cf3dd3f, 0xc2e66db8, 0x2ce7de66, 0xc2ea2c53,
-  0x2cdbe04a, 0xc2eded49, 0x2ccfe2ea, 0xc2f1b099,
-  0x2cc3e648, 0xc2f57644, 0x2cb7ea63, 0xc2f93e4a,
-  0x2cabef3d, 0xc2fd08a9, 0x2c9ff4d6, 0xc300d563,
-  0x2c93fb2e, 0xc304a477, 0x2c880245, 0xc30875e5,
-  0x2c7c0a1d, 0xc30c49ad, 0x2c7012b5, 0xc3101fce,
-  0x2c641c0e, 0xc313f848, 0x2c582629, 0xc317d31c,
-  0x2c4c3106, 0xc31bb049, 0x2c403ca5, 0xc31f8fcf,
-  0x2c344908, 0xc32371ae, 0x2c28562d, 0xc32755e5,
-  0x2c1c6417, 0xc32b3c75, 0x2c1072c4, 0xc32f255e,
-  0x2c048237, 0xc333109e, 0x2bf8926f, 0xc336fe37,
-  0x2beca36c, 0xc33aee27, 0x2be0b52f, 0xc33ee070,
-  0x2bd4c7ba, 0xc342d510, 0x2bc8db0b, 0xc346cc07,
-  0x2bbcef23, 0xc34ac556, 0x2bb10404, 0xc34ec0fc,
-  0x2ba519ad, 0xc352bef9, 0x2b99301f, 0xc356bf4d,
-  0x2b8d475b, 0xc35ac1f7, 0x2b815f60, 0xc35ec6f8,
-  0x2b75782f, 0xc362ce50, 0x2b6991ca, 0xc366d7fd,
-  0x2b5dac2f, 0xc36ae401, 0x2b51c760, 0xc36ef25b,
-  0x2b45e35d, 0xc373030a, 0x2b3a0027, 0xc377160f,
-  0x2b2e1dbe, 0xc37b2b6a, 0x2b223c22, 0xc37f4319,
-  0x2b165b54, 0xc3835d1e, 0x2b0a7b54, 0xc3877978,
-  0x2afe9c24, 0xc38b9827, 0x2af2bdc3, 0xc38fb92a,
-  0x2ae6e031, 0xc393dc82, 0x2adb0370, 0xc398022f,
-  0x2acf277f, 0xc39c2a2f, 0x2ac34c60, 0xc3a05484,
-  0x2ab77212, 0xc3a4812c, 0x2aab9896, 0xc3a8b028,
-  0x2a9fbfed, 0xc3ace178, 0x2a93e817, 0xc3b1151b,
-  0x2a881114, 0xc3b54b11, 0x2a7c3ae5, 0xc3b9835a,
-  0x2a70658a, 0xc3bdbdf6, 0x2a649105, 0xc3c1fae5,
-  0x2a58bd54, 0xc3c63a26, 0x2a4cea79, 0xc3ca7bba,
-  0x2a411874, 0xc3cebfa0, 0x2a354746, 0xc3d305d8,
-  0x2a2976ef, 0xc3d74e62, 0x2a1da770, 0xc3db993e,
-  0x2a11d8c8, 0xc3dfe66c, 0x2a060af9, 0xc3e435ea,
-  0x29fa3e03, 0xc3e887bb, 0x29ee71e6, 0xc3ecdbdc,
-  0x29e2a6a3, 0xc3f1324e, 0x29d6dc3b, 0xc3f58b10,
-  0x29cb12ad, 0xc3f9e624, 0x29bf49fa, 0xc3fe4388,
-  0x29b38223, 0xc402a33c, 0x29a7bb28, 0xc4070540,
-  0x299bf509, 0xc40b6994, 0x29902fc7, 0xc40fd037,
-  0x29846b63, 0xc414392b, 0x2978a7dd, 0xc418a46d,
-  0x296ce535, 0xc41d11ff, 0x2961236c, 0xc42181e0,
-  0x29556282, 0xc425f410, 0x2949a278, 0xc42a688f,
-  0x293de34e, 0xc42edf5c, 0x29322505, 0xc4335877,
-  0x2926679c, 0xc437d3e1, 0x291aab16, 0xc43c5199,
-  0x290eef71, 0xc440d19e, 0x290334af, 0xc44553f2,
-  0x28f77acf, 0xc449d892, 0x28ebc1d3, 0xc44e5f80,
-  0x28e009ba, 0xc452e8bc, 0x28d45286, 0xc4577444,
-  0x28c89c37, 0xc45c0219, 0x28bce6cd, 0xc460923b,
-  0x28b13248, 0xc46524a9, 0x28a57ea9, 0xc469b963,
-  0x2899cbf1, 0xc46e5069, 0x288e1a20, 0xc472e9bc,
-  0x28826936, 0xc477855a, 0x2876b934, 0xc47c2344,
-  0x286b0a1a, 0xc480c379, 0x285f5be9, 0xc48565f9,
-  0x2853aea1, 0xc48a0ac4, 0x28480243, 0xc48eb1db,
-  0x283c56cf, 0xc4935b3c, 0x2830ac45, 0xc49806e7,
-  0x282502a7, 0xc49cb4dd, 0x281959f4, 0xc4a1651c,
-  0x280db22d, 0xc4a617a6, 0x28020b52, 0xc4aacc7a,
-  0x27f66564, 0xc4af8397, 0x27eac063, 0xc4b43cfd,
-  0x27df1c50, 0xc4b8f8ad, 0x27d3792b, 0xc4bdb6a6,
-  0x27c7d6f4, 0xc4c276e8, 0x27bc35ad, 0xc4c73972,
-  0x27b09555, 0xc4cbfe45, 0x27a4f5ed, 0xc4d0c560,
-  0x27995776, 0xc4d58ec3, 0x278db9ef, 0xc4da5a6f,
-  0x27821d59, 0xc4df2862, 0x277681b6, 0xc4e3f89c,
-  0x276ae704, 0xc4e8cb1e, 0x275f4d45, 0xc4ed9fe7,
-  0x2753b479, 0xc4f276f7, 0x27481ca1, 0xc4f7504e,
-  0x273c85bc, 0xc4fc2bec, 0x2730efcc, 0xc50109d0,
-  0x27255ad1, 0xc505e9fb, 0x2719c6cb, 0xc50acc6b,
-  0x270e33bb, 0xc50fb121, 0x2702a1a1, 0xc514981d,
-  0x26f7107e, 0xc519815f, 0x26eb8052, 0xc51e6ce6,
-  0x26dff11d, 0xc5235ab2, 0x26d462e1, 0xc5284ac3,
-  0x26c8d59c, 0xc52d3d18, 0x26bd4951, 0xc53231b3,
-  0x26b1bdff, 0xc5372891, 0x26a633a6, 0xc53c21b4,
-  0x269aaa48, 0xc5411d1b, 0x268f21e5, 0xc5461ac6,
-  0x26839a7c, 0xc54b1ab4, 0x26781410, 0xc5501ce5,
-  0x266c8e9f, 0xc555215a, 0x26610a2a, 0xc55a2812,
-  0x265586b3, 0xc55f310d, 0x264a0438, 0xc5643c4a,
-  0x263e82bc, 0xc56949ca, 0x2633023e, 0xc56e598c,
-  0x262782be, 0xc5736b90, 0x261c043d, 0xc5787fd6,
-  0x261086bc, 0xc57d965d, 0x26050a3b, 0xc582af26,
-  0x25f98ebb, 0xc587ca31, 0x25ee143b, 0xc58ce77c,
-  0x25e29abc, 0xc5920708, 0x25d72240, 0xc59728d5,
-  0x25cbaac5, 0xc59c4ce3, 0x25c0344d, 0xc5a17330,
-  0x25b4bed8, 0xc5a69bbe, 0x25a94a67, 0xc5abc68c,
-  0x259dd6f9, 0xc5b0f399, 0x25926490, 0xc5b622e6,
-  0x2586f32c, 0xc5bb5472, 0x257b82cd, 0xc5c0883d,
-  0x25701374, 0xc5c5be47, 0x2564a521, 0xc5caf690,
-  0x255937d5, 0xc5d03118, 0x254dcb8f, 0xc5d56ddd,
-  0x25426051, 0xc5daace1, 0x2536f61b, 0xc5dfee22,
-  0x252b8cee, 0xc5e531a1, 0x252024c9, 0xc5ea775e,
-  0x2514bdad, 0xc5efbf58, 0x2509579b, 0xc5f5098f,
-  0x24fdf294, 0xc5fa5603, 0x24f28e96, 0xc5ffa4b3,
-  0x24e72ba4, 0xc604f5a0, 0x24dbc9bd, 0xc60a48c9,
-  0x24d068e2, 0xc60f9e2e, 0x24c50914, 0xc614f5cf,
-  0x24b9aa52, 0xc61a4fac, 0x24ae4c9d, 0xc61fabc4,
-  0x24a2eff6, 0xc6250a18, 0x2497945d, 0xc62a6aa6,
-  0x248c39d3, 0xc62fcd6f, 0x2480e057, 0xc6353273,
-  0x247587eb, 0xc63a99b1, 0x246a308f, 0xc6400329,
-  0x245eda43, 0xc6456edb, 0x24538507, 0xc64adcc7,
-  0x244830dd, 0xc6504ced, 0x243cddc4, 0xc655bf4c,
-  0x24318bbe, 0xc65b33e4, 0x24263ac9, 0xc660aab5,
-  0x241aeae8, 0xc66623be, 0x240f9c1a, 0xc66b9f01,
-  0x24044e60, 0xc6711c7b, 0x23f901ba, 0xc6769c2e,
-  0x23edb628, 0xc67c1e18, 0x23e26bac, 0xc681a23a,
-  0x23d72245, 0xc6872894, 0x23cbd9f4, 0xc68cb124,
-  0x23c092b9, 0xc6923bec, 0x23b54c95, 0xc697c8eb,
-  0x23aa0788, 0xc69d5820, 0x239ec393, 0xc6a2e98b,
-  0x239380b6, 0xc6a87d2d, 0x23883ef2, 0xc6ae1304,
-  0x237cfe47, 0xc6b3ab12, 0x2371beb5, 0xc6b94554,
-  0x2366803c, 0xc6bee1cd, 0x235b42df, 0xc6c4807a,
-  0x2350069b, 0xc6ca215c, 0x2344cb73, 0xc6cfc472,
-  0x23399167, 0xc6d569be, 0x232e5876, 0xc6db113d,
-  0x232320a2, 0xc6e0baf0, 0x2317e9eb, 0xc6e666d7,
-  0x230cb451, 0xc6ec14f2, 0x23017fd5, 0xc6f1c540,
-  0x22f64c77, 0xc6f777c1, 0x22eb1a37, 0xc6fd2c75,
-  0x22dfe917, 0xc702e35c, 0x22d4b916, 0xc7089c75,
-  0x22c98a35, 0xc70e57c0, 0x22be5c74, 0xc714153e,
-  0x22b32fd4, 0xc719d4ed, 0x22a80456, 0xc71f96ce,
-  0x229cd9f8, 0xc7255ae0, 0x2291b0bd, 0xc72b2123,
-  0x228688a4, 0xc730e997, 0x227b61af, 0xc736b43c,
-  0x22703bdc, 0xc73c8111, 0x2265172e, 0xc7425016,
-  0x2259f3a3, 0xc748214c, 0x224ed13d, 0xc74df4b1,
-  0x2243affc, 0xc753ca46, 0x22388fe1, 0xc759a20a,
-  0x222d70eb, 0xc75f7bfe, 0x2222531c, 0xc7655820,
-  0x22173674, 0xc76b3671, 0x220c1af3, 0xc77116f0,
-  0x22010099, 0xc776f99d, 0x21f5e768, 0xc77cde79,
-  0x21eacf5f, 0xc782c582, 0x21dfb87f, 0xc788aeb9,
-  0x21d4a2c8, 0xc78e9a1d, 0x21c98e3b, 0xc79487ae,
-  0x21be7ad8, 0xc79a776c, 0x21b368a0, 0xc7a06957,
-  0x21a85793, 0xc7a65d6e, 0x219d47b1, 0xc7ac53b1,
-  0x219238fb, 0xc7b24c20, 0x21872b72, 0xc7b846ba,
-  0x217c1f15, 0xc7be4381, 0x217113e5, 0xc7c44272,
-  0x216609e3, 0xc7ca438f, 0x215b0110, 0xc7d046d6,
-  0x214ff96a, 0xc7d64c47, 0x2144f2f3, 0xc7dc53e3,
-  0x2139edac, 0xc7e25daa, 0x212ee995, 0xc7e8699a,
-  0x2123e6ad, 0xc7ee77b3, 0x2118e4f6, 0xc7f487f6,
-  0x210de470, 0xc7fa9a62, 0x2102e51c, 0xc800aef7,
-  0x20f7e6f9, 0xc806c5b5, 0x20ecea09, 0xc80cde9b,
-  0x20e1ee4b, 0xc812f9a9, 0x20d6f3c1, 0xc81916df,
-  0x20cbfa6a, 0xc81f363d, 0x20c10247, 0xc82557c3,
-  0x20b60b58, 0xc82b7b70, 0x20ab159e, 0xc831a143,
-  0x20a0211a, 0xc837c93e, 0x20952dcb, 0xc83df35f,
-  0x208a3bb2, 0xc8441fa6, 0x207f4acf, 0xc84a4e14,
-  0x20745b24, 0xc8507ea7, 0x20696cb0, 0xc856b160,
-  0x205e7f74, 0xc85ce63e, 0x2053936f, 0xc8631d42,
-  0x2048a8a4, 0xc869566a, 0x203dbf11, 0xc86f91b7,
-  0x2032d6b8, 0xc875cf28, 0x2027ef99, 0xc87c0ebd,
-  0x201d09b4, 0xc8825077, 0x2012250a, 0xc8889454,
-  0x2007419b, 0xc88eda54, 0x1ffc5f67, 0xc8952278,
-  0x1ff17e70, 0xc89b6cbf, 0x1fe69eb4, 0xc8a1b928,
-  0x1fdbc036, 0xc8a807b4, 0x1fd0e2f5, 0xc8ae5862,
-  0x1fc606f1, 0xc8b4ab32, 0x1fbb2c2c, 0xc8bb0023,
-  0x1fb052a5, 0xc8c15736, 0x1fa57a5d, 0xc8c7b06b,
-  0x1f9aa354, 0xc8ce0bc0, 0x1f8fcd8b, 0xc8d46936,
-  0x1f84f902, 0xc8dac8cd, 0x1f7a25ba, 0xc8e12a84,
-  0x1f6f53b3, 0xc8e78e5b, 0x1f6482ed, 0xc8edf452,
-  0x1f59b369, 0xc8f45c68, 0x1f4ee527, 0xc8fac69e,
-  0x1f441828, 0xc90132f2, 0x1f394c6b, 0xc907a166,
-  0x1f2e81f3, 0xc90e11f7, 0x1f23b8be, 0xc91484a8,
-  0x1f18f0ce, 0xc91af976, 0x1f0e2a22, 0xc9217062,
-  0x1f0364bc, 0xc927e96b, 0x1ef8a09b, 0xc92e6492,
-  0x1eedddc0, 0xc934e1d6, 0x1ee31c2b, 0xc93b6137,
-  0x1ed85bdd, 0xc941e2b4, 0x1ecd9cd7, 0xc948664d,
-  0x1ec2df18, 0xc94eec03, 0x1eb822a1, 0xc95573d4,
-  0x1ead6773, 0xc95bfdc1, 0x1ea2ad8d, 0xc96289c9,
-  0x1e97f4f1, 0xc96917ec, 0x1e8d3d9e, 0xc96fa82a,
-  0x1e828796, 0xc9763a83, 0x1e77d2d8, 0xc97ccef5,
-  0x1e6d1f65, 0xc9836582, 0x1e626d3e, 0xc989fe29,
-  0x1e57bc62, 0xc99098e9, 0x1e4d0cd2, 0xc99735c2,
-  0x1e425e8f, 0xc99dd4b4, 0x1e37b199, 0xc9a475bf,
-  0x1e2d05f1, 0xc9ab18e3, 0x1e225b96, 0xc9b1be1e,
-  0x1e17b28a, 0xc9b86572, 0x1e0d0acc, 0xc9bf0edd,
-  0x1e02645d, 0xc9c5ba60, 0x1df7bf3e, 0xc9cc67fa,
-  0x1ded1b6e, 0xc9d317ab, 0x1de278ef, 0xc9d9c973,
-  0x1dd7d7c1, 0xc9e07d51, 0x1dcd37e4, 0xc9e73346,
-  0x1dc29958, 0xc9edeb50, 0x1db7fc1e, 0xc9f4a570,
-  0x1dad6036, 0xc9fb61a5, 0x1da2c5a2, 0xca021fef,
-  0x1d982c60, 0xca08e04f, 0x1d8d9472, 0xca0fa2c3,
-  0x1d82fdd8, 0xca16674b, 0x1d786892, 0xca1d2de7,
-  0x1d6dd4a2, 0xca23f698, 0x1d634206, 0xca2ac15b,
-  0x1d58b0c0, 0xca318e32, 0x1d4e20d0, 0xca385d1d,
-  0x1d439236, 0xca3f2e19, 0x1d3904f4, 0xca460129,
-  0x1d2e7908, 0xca4cd64b, 0x1d23ee74, 0xca53ad7e,
-  0x1d196538, 0xca5a86c4, 0x1d0edd55, 0xca61621b,
-  0x1d0456ca, 0xca683f83, 0x1cf9d199, 0xca6f1efc,
-  0x1cef4dc2, 0xca760086, 0x1ce4cb44, 0xca7ce420,
-  0x1cda4a21, 0xca83c9ca, 0x1ccfca59, 0xca8ab184,
-  0x1cc54bec, 0xca919b4e, 0x1cbacedb, 0xca988727,
-  0x1cb05326, 0xca9f750f, 0x1ca5d8cd, 0xcaa66506,
-  0x1c9b5fd2, 0xcaad570c, 0x1c90e834, 0xcab44b1f,
-  0x1c8671f3, 0xcabb4141, 0x1c7bfd11, 0xcac23971,
-  0x1c71898d, 0xcac933ae, 0x1c671768, 0xcad02ff8,
-  0x1c5ca6a2, 0xcad72e4f, 0x1c52373c, 0xcade2eb3,
-  0x1c47c936, 0xcae53123, 0x1c3d5c91, 0xcaec35a0,
-  0x1c32f14d, 0xcaf33c28, 0x1c28876a, 0xcafa44bc,
-  0x1c1e1ee9, 0xcb014f5b, 0x1c13b7c9, 0xcb085c05,
-  0x1c09520d, 0xcb0f6aba, 0x1bfeedb3, 0xcb167b79,
-  0x1bf48abd, 0xcb1d8e43, 0x1bea292b, 0xcb24a316,
-  0x1bdfc8fc, 0xcb2bb9f4, 0x1bd56a32, 0xcb32d2da,
-  0x1bcb0cce, 0xcb39edca, 0x1bc0b0ce, 0xcb410ac3,
-  0x1bb65634, 0xcb4829c4, 0x1babfd01, 0xcb4f4acd,
-  0x1ba1a534, 0xcb566ddf, 0x1b974ece, 0xcb5d92f8,
-  0x1b8cf9cf, 0xcb64ba19, 0x1b82a638, 0xcb6be341,
-  0x1b785409, 0xcb730e70, 0x1b6e0342, 0xcb7a3ba5,
-  0x1b63b3e5, 0xcb816ae1, 0x1b5965f1, 0xcb889c23,
-  0x1b4f1967, 0xcb8fcf6b, 0x1b44ce46, 0xcb9704b9,
-  0x1b3a8491, 0xcb9e3c0b, 0x1b303c46, 0xcba57563,
-  0x1b25f566, 0xcbacb0bf, 0x1b1baff2, 0xcbb3ee20,
-  0x1b116beb, 0xcbbb2d85, 0x1b072950, 0xcbc26eee,
-  0x1afce821, 0xcbc9b25a, 0x1af2a860, 0xcbd0f7ca,
-  0x1ae86a0d, 0xcbd83f3d, 0x1ade2d28, 0xcbdf88b3,
-  0x1ad3f1b1, 0xcbe6d42b, 0x1ac9b7a9, 0xcbee21a5,
-  0x1abf7f11, 0xcbf57121, 0x1ab547e8, 0xcbfcc29f,
-  0x1aab122f, 0xcc04161e, 0x1aa0dde7, 0xcc0b6b9e,
-  0x1a96ab0f, 0xcc12c31f, 0x1a8c79a9, 0xcc1a1ca0,
-  0x1a8249b4, 0xcc217822, 0x1a781b31, 0xcc28d5a3,
-  0x1a6dee21, 0xcc303524, 0x1a63c284, 0xcc3796a5,
-  0x1a599859, 0xcc3efa25, 0x1a4f6fa3, 0xcc465fa3,
-  0x1a454860, 0xcc4dc720, 0x1a3b2292, 0xcc55309b,
-  0x1a30fe38, 0xcc5c9c14, 0x1a26db54, 0xcc64098b,
-  0x1a1cb9e5, 0xcc6b78ff, 0x1a1299ec, 0xcc72ea70,
-  0x1a087b69, 0xcc7a5dde, 0x19fe5e5e, 0xcc81d349,
-  0x19f442c9, 0xcc894aaf, 0x19ea28ac, 0xcc90c412,
-  0x19e01006, 0xcc983f70, 0x19d5f8d9, 0xcc9fbcca,
-  0x19cbe325, 0xcca73c1e, 0x19c1cee9, 0xccaebd6e,
-  0x19b7bc27, 0xccb640b8, 0x19adaadf, 0xccbdc5fc,
-  0x19a39b11, 0xccc54d3a, 0x19998cbe, 0xccccd671,
-  0x198f7fe6, 0xccd461a2, 0x19857489, 0xccdbeecc,
-  0x197b6aa8, 0xcce37def, 0x19716243, 0xcceb0f0a,
-  0x19675b5a, 0xccf2a21d, 0x195d55ef, 0xccfa3729,
-  0x19535201, 0xcd01ce2b, 0x19494f90, 0xcd096725,
-  0x193f4e9e, 0xcd110216, 0x19354f2a, 0xcd189efe,
-  0x192b5135, 0xcd203ddc, 0x192154bf, 0xcd27deb0,
-  0x191759c9, 0xcd2f817b, 0x190d6053, 0xcd37263a,
-  0x1903685d, 0xcd3eccef, 0x18f971e8, 0xcd467599,
-  0x18ef7cf4, 0xcd4e2037, 0x18e58982, 0xcd55ccca,
-  0x18db9792, 0xcd5d7b50, 0x18d1a724, 0xcd652bcb,
-  0x18c7b838, 0xcd6cde39, 0x18bdcad0, 0xcd74929a,
-  0x18b3deeb, 0xcd7c48ee, 0x18a9f48a, 0xcd840134,
-  0x18a00bae, 0xcd8bbb6d, 0x18962456, 0xcd937798,
-  0x188c3e83, 0xcd9b35b4, 0x18825a35, 0xcda2f5c2,
-  0x1878776d, 0xcdaab7c0, 0x186e962b, 0xcdb27bb0,
-  0x1864b670, 0xcdba4190, 0x185ad83c, 0xcdc20960,
-  0x1850fb8e, 0xcdc9d320, 0x18472069, 0xcdd19ed0,
-  0x183d46cc, 0xcdd96c6f, 0x18336eb7, 0xcde13bfd,
-  0x1829982b, 0xcde90d79, 0x181fc328, 0xcdf0e0e4,
-  0x1815efae, 0xcdf8b63d, 0x180c1dbf, 0xce008d84,
-  0x18024d59, 0xce0866b8, 0x17f87e7f, 0xce1041d9,
-  0x17eeb130, 0xce181ee8, 0x17e4e56c, 0xce1ffde2,
-  0x17db1b34, 0xce27dec9, 0x17d15288, 0xce2fc19c,
-  0x17c78b68, 0xce37a65b, 0x17bdc5d6, 0xce3f8d05,
-  0x17b401d1, 0xce47759a, 0x17aa3f5a, 0xce4f6019,
-  0x17a07e70, 0xce574c84, 0x1796bf16, 0xce5f3ad8,
-  0x178d014a, 0xce672b16, 0x1783450d, 0xce6f1d3d,
-  0x17798a60, 0xce77114e, 0x176fd143, 0xce7f0748,
-  0x176619b6, 0xce86ff2a, 0x175c63ba, 0xce8ef8f4,
-  0x1752af4f, 0xce96f4a7, 0x1748fc75, 0xce9ef241,
-  0x173f4b2e, 0xcea6f1c2, 0x17359b78, 0xceaef32b,
-  0x172bed55, 0xceb6f67a, 0x172240c5, 0xcebefbb0,
-  0x171895c9, 0xcec702cb, 0x170eec60, 0xcecf0bcd,
-  0x1705448b, 0xced716b4, 0x16fb9e4b, 0xcedf2380,
-  0x16f1f99f, 0xcee73231, 0x16e85689, 0xceef42c7,
-  0x16deb508, 0xcef75541, 0x16d5151d, 0xceff699f,
-  0x16cb76c9, 0xcf077fe1, 0x16c1da0b, 0xcf0f9805,
-  0x16b83ee4, 0xcf17b20d, 0x16aea555, 0xcf1fcdf8,
-  0x16a50d5d, 0xcf27ebc5, 0x169b76fe, 0xcf300b74,
-  0x1691e237, 0xcf382d05, 0x16884f09, 0xcf405077,
-  0x167ebd74, 0xcf4875ca, 0x16752d79, 0xcf509cfe,
-  0x166b9f18, 0xcf58c613, 0x16621251, 0xcf60f108,
-  0x16588725, 0xcf691ddd, 0x164efd94, 0xcf714c91,
-  0x1645759f, 0xcf797d24, 0x163bef46, 0xcf81af97,
-  0x16326a88, 0xcf89e3e8, 0x1628e767, 0xcf921a17,
-  0x161f65e4, 0xcf9a5225, 0x1615e5fd, 0xcfa28c10,
-  0x160c67b4, 0xcfaac7d8, 0x1602eb0a, 0xcfb3057d,
-  0x15f96ffd, 0xcfbb4500, 0x15eff690, 0xcfc3865e,
-  0x15e67ec1, 0xcfcbc999, 0x15dd0892, 0xcfd40eaf,
-  0x15d39403, 0xcfdc55a1, 0x15ca2115, 0xcfe49e6d,
-  0x15c0afc6, 0xcfece915, 0x15b74019, 0xcff53597,
-  0x15add20d, 0xcffd83f4, 0x15a465a3, 0xd005d42a,
-  0x159afadb, 0xd00e2639, 0x159191b5, 0xd0167a22,
-  0x15882a32, 0xd01ecfe4, 0x157ec452, 0xd027277e,
-  0x15756016, 0xd02f80f1, 0x156bfd7d, 0xd037dc3b,
-  0x15629c89, 0xd040395d, 0x15593d3a, 0xd0489856,
-  0x154fdf8f, 0xd050f926, 0x15468389, 0xd0595bcd,
-  0x153d292a, 0xd061c04a, 0x1533d070, 0xd06a269d,
-  0x152a795d, 0xd0728ec6, 0x152123f0, 0xd07af8c4,
-  0x1517d02b, 0xd0836497, 0x150e7e0d, 0xd08bd23f,
-  0x15052d97, 0xd09441bb, 0x14fbdec9, 0xd09cb30b,
-  0x14f291a4, 0xd0a5262f, 0x14e94627, 0xd0ad9b26,
-  0x14dffc54, 0xd0b611f1, 0x14d6b42b, 0xd0be8a8d,
-  0x14cd6dab, 0xd0c704fd, 0x14c428d6, 0xd0cf813e,
-  0x14bae5ab, 0xd0d7ff51, 0x14b1a42c, 0xd0e07f36,
-  0x14a86458, 0xd0e900ec, 0x149f2630, 0xd0f18472,
-  0x1495e9b3, 0xd0fa09c9, 0x148caee4, 0xd10290f0,
-  0x148375c1, 0xd10b19e7, 0x147a3e4b, 0xd113a4ad,
-  0x14710883, 0xd11c3142, 0x1467d469, 0xd124bfa6,
-  0x145ea1fd, 0xd12d4fd9, 0x14557140, 0xd135e1d9,
-  0x144c4232, 0xd13e75a8, 0x144314d3, 0xd1470b44,
-  0x1439e923, 0xd14fa2ad, 0x1430bf24, 0xd1583be2,
-  0x142796d5, 0xd160d6e5, 0x141e7037, 0xd16973b3,
-  0x14154b4a, 0xd172124d, 0x140c280e, 0xd17ab2b3,
-  0x14030684, 0xd18354e4, 0x13f9e6ad, 0xd18bf8e0,
-  0x13f0c887, 0xd1949ea6, 0x13e7ac15, 0xd19d4636,
-  0x13de9156, 0xd1a5ef90, 0x13d5784a, 0xd1ae9ab4,
-  0x13cc60f2, 0xd1b747a0, 0x13c34b4f, 0xd1bff656,
-  0x13ba3760, 0xd1c8a6d4, 0x13b12526, 0xd1d1591a,
-  0x13a814a2, 0xd1da0d28, 0x139f05d3, 0xd1e2c2fd,
-  0x1395f8ba, 0xd1eb7a9a, 0x138ced57, 0xd1f433fd,
-  0x1383e3ab, 0xd1fcef27, 0x137adbb6, 0xd205ac17,
-  0x1371d579, 0xd20e6acc, 0x1368d0f3, 0xd2172b48,
-  0x135fce26, 0xd21fed88, 0x1356cd11, 0xd228b18d,
-  0x134dcdb4, 0xd2317756, 0x1344d011, 0xd23a3ee4,
-  0x133bd427, 0xd2430835, 0x1332d9f7, 0xd24bd34a,
-  0x1329e181, 0xd254a021, 0x1320eac6, 0xd25d6ebc,
-  0x1317f5c6, 0xd2663f19, 0x130f0280, 0xd26f1138,
-  0x130610f7, 0xd277e518, 0x12fd2129, 0xd280babb,
-  0x12f43318, 0xd289921e, 0x12eb46c3, 0xd2926b41,
-  0x12e25c2b, 0xd29b4626, 0x12d97350, 0xd2a422ca,
-  0x12d08c33, 0xd2ad012e, 0x12c7a6d4, 0xd2b5e151,
-  0x12bec333, 0xd2bec333, 0x12b5e151, 0xd2c7a6d4,
-  0x12ad012e, 0xd2d08c33, 0x12a422ca, 0xd2d97350,
-  0x129b4626, 0xd2e25c2b, 0x12926b41, 0xd2eb46c3,
-  0x1289921e, 0xd2f43318, 0x1280babb, 0xd2fd2129,
-  0x1277e518, 0xd30610f7, 0x126f1138, 0xd30f0280,
-  0x12663f19, 0xd317f5c6, 0x125d6ebc, 0xd320eac6,
-  0x1254a021, 0xd329e181, 0x124bd34a, 0xd332d9f7,
-  0x12430835, 0xd33bd427, 0x123a3ee4, 0xd344d011,
-  0x12317756, 0xd34dcdb4, 0x1228b18d, 0xd356cd11,
-  0x121fed88, 0xd35fce26, 0x12172b48, 0xd368d0f3,
-  0x120e6acc, 0xd371d579, 0x1205ac17, 0xd37adbb6,
-  0x11fcef27, 0xd383e3ab, 0x11f433fd, 0xd38ced57,
-  0x11eb7a9a, 0xd395f8ba, 0x11e2c2fd, 0xd39f05d3,
-  0x11da0d28, 0xd3a814a2, 0x11d1591a, 0xd3b12526,
-  0x11c8a6d4, 0xd3ba3760, 0x11bff656, 0xd3c34b4f,
-  0x11b747a0, 0xd3cc60f2, 0x11ae9ab4, 0xd3d5784a,
-  0x11a5ef90, 0xd3de9156, 0x119d4636, 0xd3e7ac15,
-  0x11949ea6, 0xd3f0c887, 0x118bf8e0, 0xd3f9e6ad,
-  0x118354e4, 0xd4030684, 0x117ab2b3, 0xd40c280e,
-  0x1172124d, 0xd4154b4a, 0x116973b3, 0xd41e7037,
-  0x1160d6e5, 0xd42796d5, 0x11583be2, 0xd430bf24,
-  0x114fa2ad, 0xd439e923, 0x11470b44, 0xd44314d3,
-  0x113e75a8, 0xd44c4232, 0x1135e1d9, 0xd4557140,
-  0x112d4fd9, 0xd45ea1fd, 0x1124bfa6, 0xd467d469,
-  0x111c3142, 0xd4710883, 0x1113a4ad, 0xd47a3e4b,
-  0x110b19e7, 0xd48375c1, 0x110290f0, 0xd48caee4,
-  0x10fa09c9, 0xd495e9b3, 0x10f18472, 0xd49f2630,
-  0x10e900ec, 0xd4a86458, 0x10e07f36, 0xd4b1a42c,
-  0x10d7ff51, 0xd4bae5ab, 0x10cf813e, 0xd4c428d6,
-  0x10c704fd, 0xd4cd6dab, 0x10be8a8d, 0xd4d6b42b,
-  0x10b611f1, 0xd4dffc54, 0x10ad9b26, 0xd4e94627,
-  0x10a5262f, 0xd4f291a4, 0x109cb30b, 0xd4fbdec9,
-  0x109441bb, 0xd5052d97, 0x108bd23f, 0xd50e7e0d,
-  0x10836497, 0xd517d02b, 0x107af8c4, 0xd52123f0,
-  0x10728ec6, 0xd52a795d, 0x106a269d, 0xd533d070,
-  0x1061c04a, 0xd53d292a, 0x10595bcd, 0xd5468389,
-  0x1050f926, 0xd54fdf8f, 0x10489856, 0xd5593d3a,
-  0x1040395d, 0xd5629c89, 0x1037dc3b, 0xd56bfd7d,
-  0x102f80f1, 0xd5756016, 0x1027277e, 0xd57ec452,
-  0x101ecfe4, 0xd5882a32, 0x10167a22, 0xd59191b5,
-  0x100e2639, 0xd59afadb, 0x1005d42a, 0xd5a465a3,
-  0xffd83f4, 0xd5add20d, 0xff53597, 0xd5b74019,
-  0xfece915, 0xd5c0afc6, 0xfe49e6d, 0xd5ca2115,
-  0xfdc55a1, 0xd5d39403, 0xfd40eaf, 0xd5dd0892,
-  0xfcbc999, 0xd5e67ec1, 0xfc3865e, 0xd5eff690,
-  0xfbb4500, 0xd5f96ffd, 0xfb3057d, 0xd602eb0a,
-  0xfaac7d8, 0xd60c67b4, 0xfa28c10, 0xd615e5fd,
-  0xf9a5225, 0xd61f65e4, 0xf921a17, 0xd628e767,
-  0xf89e3e8, 0xd6326a88, 0xf81af97, 0xd63bef46,
-  0xf797d24, 0xd645759f, 0xf714c91, 0xd64efd94,
-  0xf691ddd, 0xd6588725, 0xf60f108, 0xd6621251,
-  0xf58c613, 0xd66b9f18, 0xf509cfe, 0xd6752d79,
-  0xf4875ca, 0xd67ebd74, 0xf405077, 0xd6884f09,
-  0xf382d05, 0xd691e237, 0xf300b74, 0xd69b76fe,
-  0xf27ebc5, 0xd6a50d5d, 0xf1fcdf8, 0xd6aea555,
-  0xf17b20d, 0xd6b83ee4, 0xf0f9805, 0xd6c1da0b,
-  0xf077fe1, 0xd6cb76c9, 0xeff699f, 0xd6d5151d,
-  0xef75541, 0xd6deb508, 0xeef42c7, 0xd6e85689,
-  0xee73231, 0xd6f1f99f, 0xedf2380, 0xd6fb9e4b,
-  0xed716b4, 0xd705448b, 0xecf0bcd, 0xd70eec60,
-  0xec702cb, 0xd71895c9, 0xebefbb0, 0xd72240c5,
-  0xeb6f67a, 0xd72bed55, 0xeaef32b, 0xd7359b78,
-  0xea6f1c2, 0xd73f4b2e, 0xe9ef241, 0xd748fc75,
-  0xe96f4a7, 0xd752af4f, 0xe8ef8f4, 0xd75c63ba,
-  0xe86ff2a, 0xd76619b6, 0xe7f0748, 0xd76fd143,
-  0xe77114e, 0xd7798a60, 0xe6f1d3d, 0xd783450d,
-  0xe672b16, 0xd78d014a, 0xe5f3ad8, 0xd796bf16,
-  0xe574c84, 0xd7a07e70, 0xe4f6019, 0xd7aa3f5a,
-  0xe47759a, 0xd7b401d1, 0xe3f8d05, 0xd7bdc5d6,
-  0xe37a65b, 0xd7c78b68, 0xe2fc19c, 0xd7d15288,
-  0xe27dec9, 0xd7db1b34, 0xe1ffde2, 0xd7e4e56c,
-  0xe181ee8, 0xd7eeb130, 0xe1041d9, 0xd7f87e7f,
-  0xe0866b8, 0xd8024d59, 0xe008d84, 0xd80c1dbf,
-  0xdf8b63d, 0xd815efae, 0xdf0e0e4, 0xd81fc328,
-  0xde90d79, 0xd829982b, 0xde13bfd, 0xd8336eb7,
-  0xdd96c6f, 0xd83d46cc, 0xdd19ed0, 0xd8472069,
-  0xdc9d320, 0xd850fb8e, 0xdc20960, 0xd85ad83c,
-  0xdba4190, 0xd864b670, 0xdb27bb0, 0xd86e962b,
-  0xdaab7c0, 0xd878776d, 0xda2f5c2, 0xd8825a35,
-  0xd9b35b4, 0xd88c3e83, 0xd937798, 0xd8962456,
-  0xd8bbb6d, 0xd8a00bae, 0xd840134, 0xd8a9f48a,
-  0xd7c48ee, 0xd8b3deeb, 0xd74929a, 0xd8bdcad0,
-  0xd6cde39, 0xd8c7b838, 0xd652bcb, 0xd8d1a724,
-  0xd5d7b50, 0xd8db9792, 0xd55ccca, 0xd8e58982,
-  0xd4e2037, 0xd8ef7cf4, 0xd467599, 0xd8f971e8,
-  0xd3eccef, 0xd903685d, 0xd37263a, 0xd90d6053,
-  0xd2f817b, 0xd91759c9, 0xd27deb0, 0xd92154bf,
-  0xd203ddc, 0xd92b5135, 0xd189efe, 0xd9354f2a,
-  0xd110216, 0xd93f4e9e, 0xd096725, 0xd9494f90,
-  0xd01ce2b, 0xd9535201, 0xcfa3729, 0xd95d55ef,
-  0xcf2a21d, 0xd9675b5a, 0xceb0f0a, 0xd9716243,
-  0xce37def, 0xd97b6aa8, 0xcdbeecc, 0xd9857489,
-  0xcd461a2, 0xd98f7fe6, 0xcccd671, 0xd9998cbe,
-  0xcc54d3a, 0xd9a39b11, 0xcbdc5fc, 0xd9adaadf,
-  0xcb640b8, 0xd9b7bc27, 0xcaebd6e, 0xd9c1cee9,
-  0xca73c1e, 0xd9cbe325, 0xc9fbcca, 0xd9d5f8d9,
-  0xc983f70, 0xd9e01006, 0xc90c412, 0xd9ea28ac,
-  0xc894aaf, 0xd9f442c9, 0xc81d349, 0xd9fe5e5e,
-  0xc7a5dde, 0xda087b69, 0xc72ea70, 0xda1299ec,
-  0xc6b78ff, 0xda1cb9e5, 0xc64098b, 0xda26db54,
-  0xc5c9c14, 0xda30fe38, 0xc55309b, 0xda3b2292,
-  0xc4dc720, 0xda454860, 0xc465fa3, 0xda4f6fa3,
-  0xc3efa25, 0xda599859, 0xc3796a5, 0xda63c284,
-  0xc303524, 0xda6dee21, 0xc28d5a3, 0xda781b31,
-  0xc217822, 0xda8249b4, 0xc1a1ca0, 0xda8c79a9,
-  0xc12c31f, 0xda96ab0f, 0xc0b6b9e, 0xdaa0dde7,
-  0xc04161e, 0xdaab122f, 0xbfcc29f, 0xdab547e8,
-  0xbf57121, 0xdabf7f11, 0xbee21a5, 0xdac9b7a9,
-  0xbe6d42b, 0xdad3f1b1, 0xbdf88b3, 0xdade2d28,
-  0xbd83f3d, 0xdae86a0d, 0xbd0f7ca, 0xdaf2a860,
-  0xbc9b25a, 0xdafce821, 0xbc26eee, 0xdb072950,
-  0xbbb2d85, 0xdb116beb, 0xbb3ee20, 0xdb1baff2,
-  0xbacb0bf, 0xdb25f566, 0xba57563, 0xdb303c46,
-  0xb9e3c0b, 0xdb3a8491, 0xb9704b9, 0xdb44ce46,
-  0xb8fcf6b, 0xdb4f1967, 0xb889c23, 0xdb5965f1,
-  0xb816ae1, 0xdb63b3e5, 0xb7a3ba5, 0xdb6e0342,
-  0xb730e70, 0xdb785409, 0xb6be341, 0xdb82a638,
-  0xb64ba19, 0xdb8cf9cf, 0xb5d92f8, 0xdb974ece,
-  0xb566ddf, 0xdba1a534, 0xb4f4acd, 0xdbabfd01,
-  0xb4829c4, 0xdbb65634, 0xb410ac3, 0xdbc0b0ce,
-  0xb39edca, 0xdbcb0cce, 0xb32d2da, 0xdbd56a32,
-  0xb2bb9f4, 0xdbdfc8fc, 0xb24a316, 0xdbea292b,
-  0xb1d8e43, 0xdbf48abd, 0xb167b79, 0xdbfeedb3,
-  0xb0f6aba, 0xdc09520d, 0xb085c05, 0xdc13b7c9,
-  0xb014f5b, 0xdc1e1ee9, 0xafa44bc, 0xdc28876a,
-  0xaf33c28, 0xdc32f14d, 0xaec35a0, 0xdc3d5c91,
-  0xae53123, 0xdc47c936, 0xade2eb3, 0xdc52373c,
-  0xad72e4f, 0xdc5ca6a2, 0xad02ff8, 0xdc671768,
-  0xac933ae, 0xdc71898d, 0xac23971, 0xdc7bfd11,
-  0xabb4141, 0xdc8671f3, 0xab44b1f, 0xdc90e834,
-  0xaad570c, 0xdc9b5fd2, 0xaa66506, 0xdca5d8cd,
-  0xa9f750f, 0xdcb05326, 0xa988727, 0xdcbacedb,
-  0xa919b4e, 0xdcc54bec, 0xa8ab184, 0xdccfca59,
-  0xa83c9ca, 0xdcda4a21, 0xa7ce420, 0xdce4cb44,
-  0xa760086, 0xdcef4dc2, 0xa6f1efc, 0xdcf9d199,
-  0xa683f83, 0xdd0456ca, 0xa61621b, 0xdd0edd55,
-  0xa5a86c4, 0xdd196538, 0xa53ad7e, 0xdd23ee74,
-  0xa4cd64b, 0xdd2e7908, 0xa460129, 0xdd3904f4,
-  0xa3f2e19, 0xdd439236, 0xa385d1d, 0xdd4e20d0,
-  0xa318e32, 0xdd58b0c0, 0xa2ac15b, 0xdd634206,
-  0xa23f698, 0xdd6dd4a2, 0xa1d2de7, 0xdd786892,
-  0xa16674b, 0xdd82fdd8, 0xa0fa2c3, 0xdd8d9472,
-  0xa08e04f, 0xdd982c60, 0xa021fef, 0xdda2c5a2,
-  0x9fb61a5, 0xddad6036, 0x9f4a570, 0xddb7fc1e,
-  0x9edeb50, 0xddc29958, 0x9e73346, 0xddcd37e4,
-  0x9e07d51, 0xddd7d7c1, 0x9d9c973, 0xdde278ef,
-  0x9d317ab, 0xdded1b6e, 0x9cc67fa, 0xddf7bf3e,
-  0x9c5ba60, 0xde02645d, 0x9bf0edd, 0xde0d0acc,
-  0x9b86572, 0xde17b28a, 0x9b1be1e, 0xde225b96,
-  0x9ab18e3, 0xde2d05f1, 0x9a475bf, 0xde37b199,
-  0x99dd4b4, 0xde425e8f, 0x99735c2, 0xde4d0cd2,
-  0x99098e9, 0xde57bc62, 0x989fe29, 0xde626d3e,
-  0x9836582, 0xde6d1f65, 0x97ccef5, 0xde77d2d8,
-  0x9763a83, 0xde828796, 0x96fa82a, 0xde8d3d9e,
-  0x96917ec, 0xde97f4f1, 0x96289c9, 0xdea2ad8d,
-  0x95bfdc1, 0xdead6773, 0x95573d4, 0xdeb822a1,
-  0x94eec03, 0xdec2df18, 0x948664d, 0xdecd9cd7,
-  0x941e2b4, 0xded85bdd, 0x93b6137, 0xdee31c2b,
-  0x934e1d6, 0xdeedddc0, 0x92e6492, 0xdef8a09b,
-  0x927e96b, 0xdf0364bc, 0x9217062, 0xdf0e2a22,
-  0x91af976, 0xdf18f0ce, 0x91484a8, 0xdf23b8be,
-  0x90e11f7, 0xdf2e81f3, 0x907a166, 0xdf394c6b,
-  0x90132f2, 0xdf441828, 0x8fac69e, 0xdf4ee527,
-  0x8f45c68, 0xdf59b369, 0x8edf452, 0xdf6482ed,
-  0x8e78e5b, 0xdf6f53b3, 0x8e12a84, 0xdf7a25ba,
-  0x8dac8cd, 0xdf84f902, 0x8d46936, 0xdf8fcd8b,
-  0x8ce0bc0, 0xdf9aa354, 0x8c7b06b, 0xdfa57a5d,
-  0x8c15736, 0xdfb052a5, 0x8bb0023, 0xdfbb2c2c,
-  0x8b4ab32, 0xdfc606f1, 0x8ae5862, 0xdfd0e2f5,
-  0x8a807b4, 0xdfdbc036, 0x8a1b928, 0xdfe69eb4,
-  0x89b6cbf, 0xdff17e70, 0x8952278, 0xdffc5f67,
-  0x88eda54, 0xe007419b, 0x8889454, 0xe012250a,
-  0x8825077, 0xe01d09b4, 0x87c0ebd, 0xe027ef99,
-  0x875cf28, 0xe032d6b8, 0x86f91b7, 0xe03dbf11,
-  0x869566a, 0xe048a8a4, 0x8631d42, 0xe053936f,
-  0x85ce63e, 0xe05e7f74, 0x856b160, 0xe0696cb0,
-  0x8507ea7, 0xe0745b24, 0x84a4e14, 0xe07f4acf,
-  0x8441fa6, 0xe08a3bb2, 0x83df35f, 0xe0952dcb,
-  0x837c93e, 0xe0a0211a, 0x831a143, 0xe0ab159e,
-  0x82b7b70, 0xe0b60b58, 0x82557c3, 0xe0c10247,
-  0x81f363d, 0xe0cbfa6a, 0x81916df, 0xe0d6f3c1,
-  0x812f9a9, 0xe0e1ee4b, 0x80cde9b, 0xe0ecea09,
-  0x806c5b5, 0xe0f7e6f9, 0x800aef7, 0xe102e51c,
-  0x7fa9a62, 0xe10de470, 0x7f487f6, 0xe118e4f6,
-  0x7ee77b3, 0xe123e6ad, 0x7e8699a, 0xe12ee995,
-  0x7e25daa, 0xe139edac, 0x7dc53e3, 0xe144f2f3,
-  0x7d64c47, 0xe14ff96a, 0x7d046d6, 0xe15b0110,
-  0x7ca438f, 0xe16609e3, 0x7c44272, 0xe17113e5,
-  0x7be4381, 0xe17c1f15, 0x7b846ba, 0xe1872b72,
-  0x7b24c20, 0xe19238fb, 0x7ac53b1, 0xe19d47b1,
-  0x7a65d6e, 0xe1a85793, 0x7a06957, 0xe1b368a0,
-  0x79a776c, 0xe1be7ad8, 0x79487ae, 0xe1c98e3b,
-  0x78e9a1d, 0xe1d4a2c8, 0x788aeb9, 0xe1dfb87f,
-  0x782c582, 0xe1eacf5f, 0x77cde79, 0xe1f5e768,
-  0x776f99d, 0xe2010099, 0x77116f0, 0xe20c1af3,
-  0x76b3671, 0xe2173674, 0x7655820, 0xe222531c,
-  0x75f7bfe, 0xe22d70eb, 0x759a20a, 0xe2388fe1,
-  0x753ca46, 0xe243affc, 0x74df4b1, 0xe24ed13d,
-  0x748214c, 0xe259f3a3, 0x7425016, 0xe265172e,
-  0x73c8111, 0xe2703bdc, 0x736b43c, 0xe27b61af,
-  0x730e997, 0xe28688a4, 0x72b2123, 0xe291b0bd,
-  0x7255ae0, 0xe29cd9f8, 0x71f96ce, 0xe2a80456,
-  0x719d4ed, 0xe2b32fd4, 0x714153e, 0xe2be5c74,
-  0x70e57c0, 0xe2c98a35, 0x7089c75, 0xe2d4b916,
-  0x702e35c, 0xe2dfe917, 0x6fd2c75, 0xe2eb1a37,
-  0x6f777c1, 0xe2f64c77, 0x6f1c540, 0xe3017fd5,
-  0x6ec14f2, 0xe30cb451, 0x6e666d7, 0xe317e9eb,
-  0x6e0baf0, 0xe32320a2, 0x6db113d, 0xe32e5876,
-  0x6d569be, 0xe3399167, 0x6cfc472, 0xe344cb73,
-  0x6ca215c, 0xe350069b, 0x6c4807a, 0xe35b42df,
-  0x6bee1cd, 0xe366803c, 0x6b94554, 0xe371beb5,
-  0x6b3ab12, 0xe37cfe47, 0x6ae1304, 0xe3883ef2,
-  0x6a87d2d, 0xe39380b6, 0x6a2e98b, 0xe39ec393,
-  0x69d5820, 0xe3aa0788, 0x697c8eb, 0xe3b54c95,
-  0x6923bec, 0xe3c092b9, 0x68cb124, 0xe3cbd9f4,
-  0x6872894, 0xe3d72245, 0x681a23a, 0xe3e26bac,
-  0x67c1e18, 0xe3edb628, 0x6769c2e, 0xe3f901ba,
-  0x6711c7b, 0xe4044e60, 0x66b9f01, 0xe40f9c1a,
-  0x66623be, 0xe41aeae8, 0x660aab5, 0xe4263ac9,
-  0x65b33e4, 0xe4318bbe, 0x655bf4c, 0xe43cddc4,
-  0x6504ced, 0xe44830dd, 0x64adcc7, 0xe4538507,
-  0x6456edb, 0xe45eda43, 0x6400329, 0xe46a308f,
-  0x63a99b1, 0xe47587eb, 0x6353273, 0xe480e057,
-  0x62fcd6f, 0xe48c39d3, 0x62a6aa6, 0xe497945d,
-  0x6250a18, 0xe4a2eff6, 0x61fabc4, 0xe4ae4c9d,
-  0x61a4fac, 0xe4b9aa52, 0x614f5cf, 0xe4c50914,
-  0x60f9e2e, 0xe4d068e2, 0x60a48c9, 0xe4dbc9bd,
-  0x604f5a0, 0xe4e72ba4, 0x5ffa4b3, 0xe4f28e96,
-  0x5fa5603, 0xe4fdf294, 0x5f5098f, 0xe509579b,
-  0x5efbf58, 0xe514bdad, 0x5ea775e, 0xe52024c9,
-  0x5e531a1, 0xe52b8cee, 0x5dfee22, 0xe536f61b,
-  0x5daace1, 0xe5426051, 0x5d56ddd, 0xe54dcb8f,
-  0x5d03118, 0xe55937d5, 0x5caf690, 0xe564a521,
-  0x5c5be47, 0xe5701374, 0x5c0883d, 0xe57b82cd,
-  0x5bb5472, 0xe586f32c, 0x5b622e6, 0xe5926490,
-  0x5b0f399, 0xe59dd6f9, 0x5abc68c, 0xe5a94a67,
-  0x5a69bbe, 0xe5b4bed8, 0x5a17330, 0xe5c0344d,
-  0x59c4ce3, 0xe5cbaac5, 0x59728d5, 0xe5d72240,
-  0x5920708, 0xe5e29abc, 0x58ce77c, 0xe5ee143b,
-  0x587ca31, 0xe5f98ebb, 0x582af26, 0xe6050a3b,
-  0x57d965d, 0xe61086bc, 0x5787fd6, 0xe61c043d,
-  0x5736b90, 0xe62782be, 0x56e598c, 0xe633023e,
-  0x56949ca, 0xe63e82bc, 0x5643c4a, 0xe64a0438,
-  0x55f310d, 0xe65586b3, 0x55a2812, 0xe6610a2a,
-  0x555215a, 0xe66c8e9f, 0x5501ce5, 0xe6781410,
-  0x54b1ab4, 0xe6839a7c, 0x5461ac6, 0xe68f21e5,
-  0x5411d1b, 0xe69aaa48, 0x53c21b4, 0xe6a633a6,
-  0x5372891, 0xe6b1bdff, 0x53231b3, 0xe6bd4951,
-  0x52d3d18, 0xe6c8d59c, 0x5284ac3, 0xe6d462e1,
-  0x5235ab2, 0xe6dff11d, 0x51e6ce6, 0xe6eb8052,
-  0x519815f, 0xe6f7107e, 0x514981d, 0xe702a1a1,
-  0x50fb121, 0xe70e33bb, 0x50acc6b, 0xe719c6cb,
-  0x505e9fb, 0xe7255ad1, 0x50109d0, 0xe730efcc,
-  0x4fc2bec, 0xe73c85bc, 0x4f7504e, 0xe7481ca1,
-  0x4f276f7, 0xe753b479, 0x4ed9fe7, 0xe75f4d45,
-  0x4e8cb1e, 0xe76ae704, 0x4e3f89c, 0xe77681b6,
-  0x4df2862, 0xe7821d59, 0x4da5a6f, 0xe78db9ef,
-  0x4d58ec3, 0xe7995776, 0x4d0c560, 0xe7a4f5ed,
-  0x4cbfe45, 0xe7b09555, 0x4c73972, 0xe7bc35ad,
-  0x4c276e8, 0xe7c7d6f4, 0x4bdb6a6, 0xe7d3792b,
-  0x4b8f8ad, 0xe7df1c50, 0x4b43cfd, 0xe7eac063,
-  0x4af8397, 0xe7f66564, 0x4aacc7a, 0xe8020b52,
-  0x4a617a6, 0xe80db22d, 0x4a1651c, 0xe81959f4,
-  0x49cb4dd, 0xe82502a7, 0x49806e7, 0xe830ac45,
-  0x4935b3c, 0xe83c56cf, 0x48eb1db, 0xe8480243,
-  0x48a0ac4, 0xe853aea1, 0x48565f9, 0xe85f5be9,
-  0x480c379, 0xe86b0a1a, 0x47c2344, 0xe876b934,
-  0x477855a, 0xe8826936, 0x472e9bc, 0xe88e1a20,
-  0x46e5069, 0xe899cbf1, 0x469b963, 0xe8a57ea9,
-  0x46524a9, 0xe8b13248, 0x460923b, 0xe8bce6cd,
-  0x45c0219, 0xe8c89c37, 0x4577444, 0xe8d45286,
-  0x452e8bc, 0xe8e009ba, 0x44e5f80, 0xe8ebc1d3,
-  0x449d892, 0xe8f77acf, 0x44553f2, 0xe90334af,
-  0x440d19e, 0xe90eef71, 0x43c5199, 0xe91aab16,
-  0x437d3e1, 0xe926679c, 0x4335877, 0xe9322505,
-  0x42edf5c, 0xe93de34e, 0x42a688f, 0xe949a278,
-  0x425f410, 0xe9556282, 0x42181e0, 0xe961236c,
-  0x41d11ff, 0xe96ce535, 0x418a46d, 0xe978a7dd,
-  0x414392b, 0xe9846b63, 0x40fd037, 0xe9902fc7,
-  0x40b6994, 0xe99bf509, 0x4070540, 0xe9a7bb28,
-  0x402a33c, 0xe9b38223, 0x3fe4388, 0xe9bf49fa,
-  0x3f9e624, 0xe9cb12ad, 0x3f58b10, 0xe9d6dc3b,
-  0x3f1324e, 0xe9e2a6a3, 0x3ecdbdc, 0xe9ee71e6,
-  0x3e887bb, 0xe9fa3e03, 0x3e435ea, 0xea060af9,
-  0x3dfe66c, 0xea11d8c8, 0x3db993e, 0xea1da770,
-  0x3d74e62, 0xea2976ef, 0x3d305d8, 0xea354746,
-  0x3cebfa0, 0xea411874, 0x3ca7bba, 0xea4cea79,
-  0x3c63a26, 0xea58bd54, 0x3c1fae5, 0xea649105,
-  0x3bdbdf6, 0xea70658a, 0x3b9835a, 0xea7c3ae5,
-  0x3b54b11, 0xea881114, 0x3b1151b, 0xea93e817,
-  0x3ace178, 0xea9fbfed, 0x3a8b028, 0xeaab9896,
-  0x3a4812c, 0xeab77212, 0x3a05484, 0xeac34c60,
-  0x39c2a2f, 0xeacf277f, 0x398022f, 0xeadb0370,
-  0x393dc82, 0xeae6e031, 0x38fb92a, 0xeaf2bdc3,
-  0x38b9827, 0xeafe9c24, 0x3877978, 0xeb0a7b54,
-  0x3835d1e, 0xeb165b54, 0x37f4319, 0xeb223c22,
-  0x37b2b6a, 0xeb2e1dbe, 0x377160f, 0xeb3a0027,
-  0x373030a, 0xeb45e35d, 0x36ef25b, 0xeb51c760,
-  0x36ae401, 0xeb5dac2f, 0x366d7fd, 0xeb6991ca,
-  0x362ce50, 0xeb75782f, 0x35ec6f8, 0xeb815f60,
-  0x35ac1f7, 0xeb8d475b, 0x356bf4d, 0xeb99301f,
-  0x352bef9, 0xeba519ad, 0x34ec0fc, 0xebb10404,
-  0x34ac556, 0xebbcef23, 0x346cc07, 0xebc8db0b,
-  0x342d510, 0xebd4c7ba, 0x33ee070, 0xebe0b52f,
-  0x33aee27, 0xebeca36c, 0x336fe37, 0xebf8926f,
-  0x333109e, 0xec048237, 0x32f255e, 0xec1072c4,
-  0x32b3c75, 0xec1c6417, 0x32755e5, 0xec28562d,
-  0x32371ae, 0xec344908, 0x31f8fcf, 0xec403ca5,
-  0x31bb049, 0xec4c3106, 0x317d31c, 0xec582629,
-  0x313f848, 0xec641c0e, 0x3101fce, 0xec7012b5,
-  0x30c49ad, 0xec7c0a1d, 0x30875e5, 0xec880245,
-  0x304a477, 0xec93fb2e, 0x300d563, 0xec9ff4d6,
-  0x2fd08a9, 0xecabef3d, 0x2f93e4a, 0xecb7ea63,
-  0x2f57644, 0xecc3e648, 0x2f1b099, 0xeccfe2ea,
-  0x2eded49, 0xecdbe04a, 0x2ea2c53, 0xece7de66,
-  0x2e66db8, 0xecf3dd3f, 0x2e2b178, 0xecffdcd4,
-  0x2def794, 0xed0bdd25, 0x2db400a, 0xed17de31,
-  0x2d78add, 0xed23dff7, 0x2d3d80a, 0xed2fe277,
-  0x2d02794, 0xed3be5b1, 0x2cc7979, 0xed47e9a5,
-  0x2c8cdbb, 0xed53ee51, 0x2c52459, 0xed5ff3b5,
-  0x2c17d52, 0xed6bf9d1, 0x2bdd8a9, 0xed7800a5,
-  0x2ba365c, 0xed84082f, 0x2b6966c, 0xed901070,
-  0x2b2f8d8, 0xed9c1967, 0x2af5da2, 0xeda82313,
-  0x2abc4c9, 0xedb42d74, 0x2a82e4d, 0xedc0388a,
-  0x2a49a2e, 0xedcc4454, 0x2a1086d, 0xedd850d2,
-  0x29d790a, 0xede45e03, 0x299ec05, 0xedf06be6,
-  0x296615d, 0xedfc7a7c, 0x292d914, 0xee0889c4,
-  0x28f5329, 0xee1499bd, 0x28bcf9c, 0xee20aa67,
-  0x2884e6e, 0xee2cbbc1, 0x284cf9f, 0xee38cdcb,
-  0x281532e, 0xee44e084, 0x27dd91c, 0xee50f3ed,
-  0x27a616a, 0xee5d0804, 0x276ec16, 0xee691cc9,
-  0x2737922, 0xee75323c, 0x270088e, 0xee81485c,
-  0x26c9a58, 0xee8d5f29, 0x2692e83, 0xee9976a1,
-  0x265c50e, 0xeea58ec6, 0x2625df8, 0xeeb1a796,
-  0x25ef943, 0xeebdc110, 0x25b96ee, 0xeec9db35,
-  0x25836f9, 0xeed5f604, 0x254d965, 0xeee2117c,
-  0x2517e31, 0xeeee2d9d, 0x24e255e, 0xeefa4a67,
-  0x24aceed, 0xef0667d9, 0x2477adc, 0xef1285f2,
-  0x244292c, 0xef1ea4b2, 0x240d9de, 0xef2ac419,
-  0x23d8cf1, 0xef36e426, 0x23a4265, 0xef4304d8,
-  0x236fa3b, 0xef4f2630, 0x233b473, 0xef5b482d,
-  0x230710d, 0xef676ace, 0x22d3009, 0xef738e12,
-  0x229f167, 0xef7fb1fa, 0x226b528, 0xef8bd685,
-  0x2237b4b, 0xef97fbb2, 0x22043d0, 0xefa42181,
-  0x21d0eb8, 0xefb047f2, 0x219dc03, 0xefbc6f03,
-  0x216abb1, 0xefc896b5, 0x2137dc2, 0xefd4bf08,
-  0x2105236, 0xefe0e7f9, 0x20d290d, 0xefed118a,
-  0x20a0248, 0xeff93bba, 0x206dde6, 0xf0056687,
-  0x203bbe8, 0xf01191f3, 0x2009c4e, 0xf01dbdfb,
-  0x1fd7f17, 0xf029eaa1, 0x1fa6445, 0xf03617e2,
-  0x1f74bd6, 0xf04245c0, 0x1f435cc, 0xf04e7438,
-  0x1f12227, 0xf05aa34c, 0x1ee10e5, 0xf066d2fa,
-  0x1eb0209, 0xf0730342, 0x1e7f591, 0xf07f3424,
-  0x1e4eb7e, 0xf08b659f, 0x1e1e3d0, 0xf09797b2,
-  0x1dede87, 0xf0a3ca5d, 0x1dbdba3, 0xf0affda0,
-  0x1d8db25, 0xf0bc317a, 0x1d5dd0c, 0xf0c865ea,
-  0x1d2e158, 0xf0d49af1, 0x1cfe80a, 0xf0e0d08d,
-  0x1ccf122, 0xf0ed06bf, 0x1c9fca0, 0xf0f93d86,
-  0x1c70a84, 0xf10574e0, 0x1c41ace, 0xf111accf,
-  0x1c12d7e, 0xf11de551, 0x1be4294, 0xf12a1e66,
-  0x1bb5a11, 0xf136580d, 0x1b873f5, 0xf1429247,
-  0x1b5903f, 0xf14ecd11, 0x1b2aef0, 0xf15b086d,
-  0x1afd007, 0xf1674459, 0x1acf386, 0xf17380d6,
-  0x1aa196c, 0xf17fbde2, 0x1a741b9, 0xf18bfb7d,
-  0x1a46c6e, 0xf19839a6, 0x1a1998a, 0xf1a4785e,
-  0x19ec90d, 0xf1b0b7a4, 0x19bfaf9, 0xf1bcf777,
-  0x1992f4c, 0xf1c937d6, 0x1966606, 0xf1d578c2,
-  0x1939f29, 0xf1e1ba3a, 0x190dab4, 0xf1edfc3d,
-  0x18e18a7, 0xf1fa3ecb, 0x18b5903, 0xf20681e3,
-  0x1889bc6, 0xf212c585, 0x185e0f3, 0xf21f09b1,
-  0x1832888, 0xf22b4e66, 0x1807285, 0xf23793a3,
-  0x17dbeec, 0xf243d968, 0x17b0dbb, 0xf2501fb5,
-  0x1785ef4, 0xf25c6688, 0x175b296, 0xf268ade3,
-  0x17308a1, 0xf274f5c3, 0x1706115, 0xf2813e2a,
-  0x16dbbf3, 0xf28d8715, 0x16b193a, 0xf299d085,
-  0x16878eb, 0xf2a61a7a, 0x165db05, 0xf2b264f2,
-  0x1633f8a, 0xf2beafed, 0x160a678, 0xf2cafb6b,
-  0x15e0fd1, 0xf2d7476c, 0x15b7b94, 0xf2e393ef,
-  0x158e9c1, 0xf2efe0f2, 0x1565a58, 0xf2fc2e77,
-  0x153cd5a, 0xf3087c7d, 0x15142c6, 0xf314cb02,
-  0x14eba9d, 0xf3211a07, 0x14c34df, 0xf32d698a,
-  0x149b18b, 0xf339b98d, 0x14730a3, 0xf3460a0d,
-  0x144b225, 0xf3525b0b, 0x1423613, 0xf35eac86,
-  0x13fbc6c, 0xf36afe7e, 0x13d4530, 0xf37750f2,
-  0x13ad060, 0xf383a3e2, 0x1385dfb, 0xf38ff74d,
-  0x135ee02, 0xf39c4b32, 0x1338075, 0xf3a89f92,
-  0x1311553, 0xf3b4f46c, 0x12eac9d, 0xf3c149bf,
-  0x12c4653, 0xf3cd9f8b, 0x129e276, 0xf3d9f5cf,
-  0x1278104, 0xf3e64c8c, 0x12521ff, 0xf3f2a3bf,
-  0x122c566, 0xf3fefb6a, 0x1206b39, 0xf40b538b,
-  0x11e1379, 0xf417ac22, 0x11bbe26, 0xf424052f,
-  0x1196b3f, 0xf4305eb0, 0x1171ac6, 0xf43cb8a7,
-  0x114ccb9, 0xf4491311, 0x1128119, 0xf4556def,
-  0x11037e6, 0xf461c940, 0x10df120, 0xf46e2504,
-  0x10bacc8, 0xf47a8139, 0x1096add, 0xf486dde1,
-  0x1072b5f, 0xf4933afa, 0x104ee4f, 0xf49f9884,
-  0x102b3ac, 0xf4abf67e, 0x1007b77, 0xf4b854e7,
-  0xfe45b0, 0xf4c4b3c0, 0xfc1257, 0xf4d11308,
-  0xf9e16b, 0xf4dd72be, 0xf7b2ee, 0xf4e9d2e3,
-  0xf586df, 0xf4f63374, 0xf35d3e, 0xf5029473,
-  0xf1360b, 0xf50ef5de, 0xef1147, 0xf51b57b5,
-  0xeceef1, 0xf527b9f7, 0xeacf09, 0xf5341ca5,
-  0xe8b190, 0xf5407fbd, 0xe69686, 0xf54ce33f,
-  0xe47deb, 0xf559472b, 0xe267be, 0xf565ab80,
-  0xe05401, 0xf572103d, 0xde42b2, 0xf57e7563,
-  0xdc33d2, 0xf58adaf0, 0xda2762, 0xf59740e5,
-  0xd81d61, 0xf5a3a740, 0xd615cf, 0xf5b00e02,
-  0xd410ad, 0xf5bc7529, 0xd20dfa, 0xf5c8dcb6,
-  0xd00db6, 0xf5d544a7, 0xce0fe3, 0xf5e1acfd,
-  0xcc147f, 0xf5ee15b7, 0xca1b8a, 0xf5fa7ed4,
-  0xc82506, 0xf606e854, 0xc630f2, 0xf6135237,
-  0xc43f4d, 0xf61fbc7b, 0xc25019, 0xf62c2721,
-  0xc06355, 0xf6389228, 0xbe7901, 0xf644fd8f,
-  0xbc911d, 0xf6516956, 0xbaabaa, 0xf65dd57d,
-  0xb8c8a7, 0xf66a4203, 0xb6e815, 0xf676aee8,
-  0xb509f3, 0xf6831c2b, 0xb32e42, 0xf68f89cb,
-  0xb15502, 0xf69bf7c9, 0xaf7e33, 0xf6a86623,
-  0xada9d4, 0xf6b4d4d9, 0xabd7e6, 0xf6c143ec,
-  0xaa086a, 0xf6cdb359, 0xa83b5e, 0xf6da2321,
-  0xa670c4, 0xf6e69344, 0xa4a89b, 0xf6f303c0,
-  0xa2e2e3, 0xf6ff7496, 0xa11f9d, 0xf70be5c4,
-  0x9f5ec8, 0xf718574b, 0x9da065, 0xf724c92a,
-  0x9be473, 0xf7313b60, 0x9a2af3, 0xf73daded,
-  0x9873e4, 0xf74a20d0, 0x96bf48, 0xf756940a,
-  0x950d1d, 0xf7630799, 0x935d64, 0xf76f7b7d,
-  0x91b01d, 0xf77befb5, 0x900548, 0xf7886442,
-  0x8e5ce5, 0xf794d922, 0x8cb6f5, 0xf7a14e55,
-  0x8b1376, 0xf7adc3db, 0x89726a, 0xf7ba39b3,
-  0x87d3d0, 0xf7c6afdc, 0x8637a9, 0xf7d32657,
-  0x849df4, 0xf7df9d22, 0x8306b2, 0xf7ec143e,
-  0x8171e2, 0xf7f88ba9, 0x7fdf85, 0xf8050364,
-  0x7e4f9b, 0xf8117b6d, 0x7cc223, 0xf81df3c5,
-  0x7b371e, 0xf82a6c6a, 0x79ae8c, 0xf836e55d,
-  0x78286e, 0xf8435e9d, 0x76a4c2, 0xf84fd829,
-  0x752389, 0xf85c5201, 0x73a4c3, 0xf868cc24,
-  0x722871, 0xf8754692, 0x70ae92, 0xf881c14b,
-  0x6f3726, 0xf88e3c4d, 0x6dc22e, 0xf89ab799,
-  0x6c4fa8, 0xf8a7332e, 0x6adf97, 0xf8b3af0c,
-  0x6971f9, 0xf8c02b31, 0x6806ce, 0xf8cca79e,
-  0x669e18, 0xf8d92452, 0x6537d4, 0xf8e5a14d,
-  0x63d405, 0xf8f21e8e, 0x6272aa, 0xf8fe9c15,
-  0x6113c2, 0xf90b19e0, 0x5fb74e, 0xf91797f0,
-  0x5e5d4e, 0xf9241645, 0x5d05c3, 0xf93094dd,
-  0x5bb0ab, 0xf93d13b8, 0x5a5e07, 0xf94992d7,
-  0x590dd8, 0xf9561237, 0x57c01d, 0xf96291d9,
-  0x5674d6, 0xf96f11bc, 0x552c03, 0xf97b91e1,
-  0x53e5a5, 0xf9881245, 0x52a1bb, 0xf99492ea,
-  0x516045, 0xf9a113cd, 0x502145, 0xf9ad94f0,
-  0x4ee4b8, 0xf9ba1651, 0x4daaa1, 0xf9c697f0,
-  0x4c72fe, 0xf9d319cc, 0x4b3dcf, 0xf9df9be6,
-  0x4a0b16, 0xf9ec1e3b, 0x48dad1, 0xf9f8a0cd,
-  0x47ad01, 0xfa05239a, 0x4681a6, 0xfa11a6a3,
-  0x4558c0, 0xfa1e29e5, 0x44324f, 0xfa2aad62,
-  0x430e53, 0xfa373119, 0x41eccc, 0xfa43b508,
-  0x40cdba, 0xfa503930, 0x3fb11d, 0xfa5cbd91,
-  0x3e96f6, 0xfa694229, 0x3d7f44, 0xfa75c6f8,
-  0x3c6a07, 0xfa824bfd, 0x3b573f, 0xfa8ed139,
-  0x3a46ed, 0xfa9b56ab, 0x393910, 0xfaa7dc52,
-  0x382da8, 0xfab4622d, 0x3724b6, 0xfac0e83d,
-  0x361e3a, 0xfacd6e81, 0x351a33, 0xfad9f4f8,
-  0x3418a2, 0xfae67ba2, 0x331986, 0xfaf3027e,
-  0x321ce0, 0xfaff898c, 0x3122b0, 0xfb0c10cb,
-  0x302af5, 0xfb18983b, 0x2f35b1, 0xfb251fdc,
-  0x2e42e2, 0xfb31a7ac, 0x2d5289, 0xfb3e2fac,
-  0x2c64a6, 0xfb4ab7db, 0x2b7939, 0xfb574039,
-  0x2a9042, 0xfb63c8c4, 0x29a9c1, 0xfb70517d,
-  0x28c5b6, 0xfb7cda63, 0x27e421, 0xfb896375,
-  0x270502, 0xfb95ecb4, 0x262859, 0xfba2761e,
-  0x254e27, 0xfbaeffb3, 0x24766a, 0xfbbb8973,
-  0x23a124, 0xfbc8135c, 0x22ce54, 0xfbd49d70,
-  0x21fdfb, 0xfbe127ac, 0x213018, 0xfbedb212,
-  0x2064ab, 0xfbfa3c9f, 0x1f9bb5, 0xfc06c754,
-  0x1ed535, 0xfc135231, 0x1e112b, 0xfc1fdd34,
-  0x1d4f99, 0xfc2c685d, 0x1c907c, 0xfc38f3ac,
-  0x1bd3d6, 0xfc457f21, 0x1b19a7, 0xfc520aba,
-  0x1a61ee, 0xfc5e9678, 0x19acac, 0xfc6b2259,
-  0x18f9e1, 0xfc77ae5e, 0x18498c, 0xfc843a85,
-  0x179bae, 0xfc90c6cf, 0x16f047, 0xfc9d533b,
-  0x164757, 0xfca9dfc8, 0x15a0dd, 0xfcb66c77,
-  0x14fcda, 0xfcc2f945, 0x145b4e, 0xfccf8634,
-  0x13bc39, 0xfcdc1342, 0x131f9b, 0xfce8a06f,
-  0x128574, 0xfcf52dbb, 0x11edc3, 0xfd01bb24,
-  0x11588a, 0xfd0e48ab, 0x10c5c7, 0xfd1ad650,
-  0x10357c, 0xfd276410, 0xfa7a8, 0xfd33f1ed,
-  0xf1c4a, 0xfd407fe6, 0xe9364, 0xfd4d0df9,
-  0xe0cf5, 0xfd599c28, 0xd88fd, 0xfd662a70,
-  0xd077c, 0xfd72b8d2, 0xc8872, 0xfd7f474d,
-  0xc0be0, 0xfd8bd5e1, 0xb91c4, 0xfd98648d,
-  0xb1a20, 0xfda4f351, 0xaa4f3, 0xfdb1822c,
-  0xa323d, 0xfdbe111e, 0x9c1ff, 0xfdcaa027,
-  0x95438, 0xfdd72f45, 0x8e8e8, 0xfde3be78,
-  0x8800f, 0xfdf04dc0, 0x819ae, 0xfdfcdd1d,
-  0x7b5c4, 0xfe096c8d, 0x75452, 0xfe15fc11,
-  0x6f556, 0xfe228ba7, 0x698d3, 0xfe2f1b50,
-  0x63ec6, 0xfe3bab0b, 0x5e731, 0xfe483ad8,
-  0x59214, 0xfe54cab5, 0x53f6e, 0xfe615aa3,
-  0x4ef3f, 0xfe6deaa1, 0x4a188, 0xfe7a7aae,
-  0x45648, 0xfe870aca, 0x40d80, 0xfe939af5,
-  0x3c72f, 0xfea02b2e, 0x38356, 0xfeacbb74,
-  0x341f4, 0xfeb94bc8, 0x3030a, 0xfec5dc28,
-  0x2c697, 0xfed26c94, 0x28c9c, 0xfedefd0c,
-  0x25519, 0xfeeb8d8f, 0x2200d, 0xfef81e1d,
-  0x1ed78, 0xff04aeb5, 0x1bd5c, 0xff113f56,
-  0x18fb6, 0xff1dd001, 0x16489, 0xff2a60b4,
-  0x13bd3, 0xff36f170, 0x11594, 0xff438234,
-  0xf1ce, 0xff5012fe, 0xd07e, 0xff5ca3d0,
-  0xb1a7, 0xff6934a8, 0x9547, 0xff75c585,
-  0x7b5f, 0xff825668, 0x63ee, 0xff8ee750,
-  0x4ef5, 0xff9b783c, 0x3c74, 0xffa8092c,
-  0x2c6a, 0xffb49a1f, 0x1ed8, 0xffc12b16,
-  0x13bd, 0xffcdbc0f, 0xb1a, 0xffda4d09,
-  0x4ef, 0xffe6de05, 0x13c, 0xfff36f02,
-  0x0, 0x0, 0x13c, 0xc90fe,
-  0x4ef, 0x1921fb, 0xb1a, 0x25b2f7,
-  0x13bd, 0x3243f1, 0x1ed8, 0x3ed4ea,
-  0x2c6a, 0x4b65e1, 0x3c74, 0x57f6d4,
-  0x4ef5, 0x6487c4, 0x63ee, 0x7118b0,
-  0x7b5f, 0x7da998, 0x9547, 0x8a3a7b,
-  0xb1a7, 0x96cb58, 0xd07e, 0xa35c30,
-  0xf1ce, 0xafed02, 0x11594, 0xbc7dcc,
-  0x13bd3, 0xc90e90, 0x16489, 0xd59f4c,
-  0x18fb6, 0xe22fff, 0x1bd5c, 0xeec0aa,
-  0x1ed78, 0xfb514b, 0x2200d, 0x107e1e3,
-  0x25519, 0x1147271, 0x28c9c, 0x12102f4,
-  0x2c697, 0x12d936c, 0x3030a, 0x13a23d8,
-  0x341f4, 0x146b438, 0x38356, 0x153448c,
-  0x3c72f, 0x15fd4d2, 0x40d80, 0x16c650b,
-  0x45648, 0x178f536, 0x4a188, 0x1858552,
-  0x4ef3f, 0x192155f, 0x53f6e, 0x19ea55d,
-  0x59214, 0x1ab354b, 0x5e731, 0x1b7c528,
-  0x63ec6, 0x1c454f5, 0x698d3, 0x1d0e4b0,
-  0x6f556, 0x1dd7459, 0x75452, 0x1ea03ef,
-  0x7b5c4, 0x1f69373, 0x819ae, 0x20322e3,
-  0x8800f, 0x20fb240, 0x8e8e8, 0x21c4188,
-  0x95438, 0x228d0bb, 0x9c1ff, 0x2355fd9,
-  0xa323d, 0x241eee2, 0xaa4f3, 0x24e7dd4,
-  0xb1a20, 0x25b0caf, 0xb91c4, 0x2679b73,
-  0xc0be0, 0x2742a1f, 0xc8872, 0x280b8b3,
-  0xd077c, 0x28d472e, 0xd88fd, 0x299d590,
-  0xe0cf5, 0x2a663d8, 0xe9364, 0x2b2f207,
-  0xf1c4a, 0x2bf801a, 0xfa7a8, 0x2cc0e13,
-  0x10357c, 0x2d89bf0, 0x10c5c7, 0x2e529b0,
-  0x11588a, 0x2f1b755, 0x11edc3, 0x2fe44dc,
-  0x128574, 0x30ad245, 0x131f9b, 0x3175f91,
-  0x13bc39, 0x323ecbe, 0x145b4e, 0x33079cc,
-  0x14fcda, 0x33d06bb, 0x15a0dd, 0x3499389,
-  0x164757, 0x3562038, 0x16f047, 0x362acc5,
-  0x179bae, 0x36f3931, 0x18498c, 0x37bc57b,
-  0x18f9e1, 0x38851a2, 0x19acac, 0x394dda7,
-  0x1a61ee, 0x3a16988, 0x1b19a7, 0x3adf546,
-  0x1bd3d6, 0x3ba80df, 0x1c907c, 0x3c70c54,
-  0x1d4f99, 0x3d397a3, 0x1e112b, 0x3e022cc,
-  0x1ed535, 0x3ecadcf, 0x1f9bb5, 0x3f938ac,
-  0x2064ab, 0x405c361, 0x213018, 0x4124dee,
-  0x21fdfb, 0x41ed854, 0x22ce54, 0x42b6290,
-  0x23a124, 0x437eca4, 0x24766a, 0x444768d,
-  0x254e27, 0x451004d, 0x262859, 0x45d89e2,
-  0x270502, 0x46a134c, 0x27e421, 0x4769c8b,
-  0x28c5b6, 0x483259d, 0x29a9c1, 0x48fae83,
-  0x2a9042, 0x49c373c, 0x2b7939, 0x4a8bfc7,
-  0x2c64a6, 0x4b54825, 0x2d5289, 0x4c1d054,
-  0x2e42e2, 0x4ce5854, 0x2f35b1, 0x4dae024,
-  0x302af5, 0x4e767c5, 0x3122b0, 0x4f3ef35,
-  0x321ce0, 0x5007674, 0x331986, 0x50cfd82,
-  0x3418a2, 0x519845e, 0x351a33, 0x5260b08,
-  0x361e3a, 0x532917f, 0x3724b6, 0x53f17c3,
-  0x382da8, 0x54b9dd3, 0x393910, 0x55823ae,
-  0x3a46ed, 0x564a955, 0x3b573f, 0x5712ec7,
-  0x3c6a07, 0x57db403, 0x3d7f44, 0x58a3908,
-  0x3e96f6, 0x596bdd7, 0x3fb11d, 0x5a3426f,
-  0x40cdba, 0x5afc6d0, 0x41eccc, 0x5bc4af8,
-  0x430e53, 0x5c8cee7, 0x44324f, 0x5d5529e,
-  0x4558c0, 0x5e1d61b, 0x4681a6, 0x5ee595d,
-  0x47ad01, 0x5fadc66, 0x48dad1, 0x6075f33,
-  0x4a0b16, 0x613e1c5, 0x4b3dcf, 0x620641a,
-  0x4c72fe, 0x62ce634, 0x4daaa1, 0x6396810,
-  0x4ee4b8, 0x645e9af, 0x502145, 0x6526b10,
-  0x516045, 0x65eec33, 0x52a1bb, 0x66b6d16,
-  0x53e5a5, 0x677edbb, 0x552c03, 0x6846e1f,
-  0x5674d6, 0x690ee44, 0x57c01d, 0x69d6e27,
-  0x590dd8, 0x6a9edc9, 0x5a5e07, 0x6b66d29,
-  0x5bb0ab, 0x6c2ec48, 0x5d05c3, 0x6cf6b23,
-  0x5e5d4e, 0x6dbe9bb, 0x5fb74e, 0x6e86810,
-  0x6113c2, 0x6f4e620, 0x6272aa, 0x70163eb,
-  0x63d405, 0x70de172, 0x6537d4, 0x71a5eb3,
-  0x669e18, 0x726dbae, 0x6806ce, 0x7335862,
-  0x6971f9, 0x73fd4cf, 0x6adf97, 0x74c50f4,
-  0x6c4fa8, 0x758ccd2, 0x6dc22e, 0x7654867,
-  0x6f3726, 0x771c3b3, 0x70ae92, 0x77e3eb5,
-  0x722871, 0x78ab96e, 0x73a4c3, 0x79733dc,
-  0x752389, 0x7a3adff, 0x76a4c2, 0x7b027d7,
-  0x78286e, 0x7bca163, 0x79ae8c, 0x7c91aa3,
-  0x7b371e, 0x7d59396, 0x7cc223, 0x7e20c3b,
-  0x7e4f9b, 0x7ee8493, 0x7fdf85, 0x7fafc9c,
-  0x8171e2, 0x8077457, 0x8306b2, 0x813ebc2,
-  0x849df4, 0x82062de, 0x8637a9, 0x82cd9a9,
-  0x87d3d0, 0x8395024, 0x89726a, 0x845c64d,
-  0x8b1376, 0x8523c25, 0x8cb6f5, 0x85eb1ab,
-  0x8e5ce5, 0x86b26de, 0x900548, 0x8779bbe,
-  0x91b01d, 0x884104b, 0x935d64, 0x8908483,
-  0x950d1d, 0x89cf867, 0x96bf48, 0x8a96bf6,
-  0x9873e4, 0x8b5df30, 0x9a2af3, 0x8c25213,
-  0x9be473, 0x8cec4a0, 0x9da065, 0x8db36d6,
-  0x9f5ec8, 0x8e7a8b5, 0xa11f9d, 0x8f41a3c,
-  0xa2e2e3, 0x9008b6a, 0xa4a89b, 0x90cfc40,
-  0xa670c4, 0x9196cbc, 0xa83b5e, 0x925dcdf,
-  0xaa086a, 0x9324ca7, 0xabd7e6, 0x93ebc14,
-  0xada9d4, 0x94b2b27, 0xaf7e33, 0x95799dd,
-  0xb15502, 0x9640837, 0xb32e42, 0x9707635,
-  0xb509f3, 0x97ce3d5, 0xb6e815, 0x9895118,
-  0xb8c8a7, 0x995bdfd, 0xbaabaa, 0x9a22a83,
-  0xbc911d, 0x9ae96aa, 0xbe7901, 0x9bb0271,
-  0xc06355, 0x9c76dd8, 0xc25019, 0x9d3d8df,
-  0xc43f4d, 0x9e04385, 0xc630f2, 0x9ecadc9,
-  0xc82506, 0x9f917ac, 0xca1b8a, 0xa05812c,
-  0xcc147f, 0xa11ea49, 0xce0fe3, 0xa1e5303,
-  0xd00db6, 0xa2abb59, 0xd20dfa, 0xa37234a,
-  0xd410ad, 0xa438ad7, 0xd615cf, 0xa4ff1fe,
-  0xd81d61, 0xa5c58c0, 0xda2762, 0xa68bf1b,
-  0xdc33d2, 0xa752510, 0xde42b2, 0xa818a9d,
-  0xe05401, 0xa8defc3, 0xe267be, 0xa9a5480,
-  0xe47deb, 0xaa6b8d5, 0xe69686, 0xab31cc1,
-  0xe8b190, 0xabf8043, 0xeacf09, 0xacbe35b,
-  0xeceef1, 0xad84609, 0xef1147, 0xae4a84b,
-  0xf1360b, 0xaf10a22, 0xf35d3e, 0xafd6b8d,
-  0xf586df, 0xb09cc8c, 0xf7b2ee, 0xb162d1d,
-  0xf9e16b, 0xb228d42, 0xfc1257, 0xb2eecf8,
-  0xfe45b0, 0xb3b4c40, 0x1007b77, 0xb47ab19,
-  0x102b3ac, 0xb540982, 0x104ee4f, 0xb60677c,
-  0x1072b5f, 0xb6cc506, 0x1096add, 0xb79221f,
-  0x10bacc8, 0xb857ec7, 0x10df120, 0xb91dafc,
-  0x11037e6, 0xb9e36c0, 0x1128119, 0xbaa9211,
-  0x114ccb9, 0xbb6ecef, 0x1171ac6, 0xbc34759,
-  0x1196b3f, 0xbcfa150, 0x11bbe26, 0xbdbfad1,
-  0x11e1379, 0xbe853de, 0x1206b39, 0xbf4ac75,
-  0x122c566, 0xc010496, 0x12521ff, 0xc0d5c41,
-  0x1278104, 0xc19b374, 0x129e276, 0xc260a31,
-  0x12c4653, 0xc326075, 0x12eac9d, 0xc3eb641,
-  0x1311553, 0xc4b0b94, 0x1338075, 0xc57606e,
-  0x135ee02, 0xc63b4ce, 0x1385dfb, 0xc7008b3,
-  0x13ad060, 0xc7c5c1e, 0x13d4530, 0xc88af0e,
-  0x13fbc6c, 0xc950182, 0x1423613, 0xca1537a,
-  0x144b225, 0xcada4f5, 0x14730a3, 0xcb9f5f3,
-  0x149b18b, 0xcc64673, 0x14c34df, 0xcd29676,
-  0x14eba9d, 0xcdee5f9, 0x15142c6, 0xceb34fe,
-  0x153cd5a, 0xcf78383, 0x1565a58, 0xd03d189,
-  0x158e9c1, 0xd101f0e, 0x15b7b94, 0xd1c6c11,
-  0x15e0fd1, 0xd28b894, 0x160a678, 0xd350495,
-  0x1633f8a, 0xd415013, 0x165db05, 0xd4d9b0e,
-  0x16878eb, 0xd59e586, 0x16b193a, 0xd662f7b,
-  0x16dbbf3, 0xd7278eb, 0x1706115, 0xd7ec1d6,
-  0x17308a1, 0xd8b0a3d, 0x175b296, 0xd97521d,
-  0x1785ef4, 0xda39978, 0x17b0dbb, 0xdafe04b,
-  0x17dbeec, 0xdbc2698, 0x1807285, 0xdc86c5d,
-  0x1832888, 0xdd4b19a, 0x185e0f3, 0xde0f64f,
-  0x1889bc6, 0xded3a7b, 0x18b5903, 0xdf97e1d,
-  0x18e18a7, 0xe05c135, 0x190dab4, 0xe1203c3,
-  0x1939f29, 0xe1e45c6, 0x1966606, 0xe2a873e,
-  0x1992f4c, 0xe36c82a, 0x19bfaf9, 0xe430889,
-  0x19ec90d, 0xe4f485c, 0x1a1998a, 0xe5b87a2,
-  0x1a46c6e, 0xe67c65a, 0x1a741b9, 0xe740483,
-  0x1aa196c, 0xe80421e, 0x1acf386, 0xe8c7f2a,
-  0x1afd007, 0xe98bba7, 0x1b2aef0, 0xea4f793,
-  0x1b5903f, 0xeb132ef, 0x1b873f5, 0xebd6db9,
-  0x1bb5a11, 0xec9a7f3, 0x1be4294, 0xed5e19a,
-  0x1c12d7e, 0xee21aaf, 0x1c41ace, 0xeee5331,
-  0x1c70a84, 0xefa8b20, 0x1c9fca0, 0xf06c27a,
-  0x1ccf122, 0xf12f941, 0x1cfe80a, 0xf1f2f73,
-  0x1d2e158, 0xf2b650f, 0x1d5dd0c, 0xf379a16,
-  0x1d8db25, 0xf43ce86, 0x1dbdba3, 0xf500260,
-  0x1dede87, 0xf5c35a3, 0x1e1e3d0, 0xf68684e,
-  0x1e4eb7e, 0xf749a61, 0x1e7f591, 0xf80cbdc,
-  0x1eb0209, 0xf8cfcbe, 0x1ee10e5, 0xf992d06,
-  0x1f12227, 0xfa55cb4, 0x1f435cc, 0xfb18bc8,
-  0x1f74bd6, 0xfbdba40, 0x1fa6445, 0xfc9e81e,
-  0x1fd7f17, 0xfd6155f, 0x2009c4e, 0xfe24205,
-  0x203bbe8, 0xfee6e0d, 0x206dde6, 0xffa9979,
-  0x20a0248, 0x1006c446, 0x20d290d, 0x1012ee76,
-  0x2105236, 0x101f1807, 0x2137dc2, 0x102b40f8,
-  0x216abb1, 0x1037694b, 0x219dc03, 0x104390fd,
-  0x21d0eb8, 0x104fb80e, 0x22043d0, 0x105bde7f,
-  0x2237b4b, 0x1068044e, 0x226b528, 0x1074297b,
-  0x229f167, 0x10804e06, 0x22d3009, 0x108c71ee,
-  0x230710d, 0x10989532, 0x233b473, 0x10a4b7d3,
-  0x236fa3b, 0x10b0d9d0, 0x23a4265, 0x10bcfb28,
-  0x23d8cf1, 0x10c91bda, 0x240d9de, 0x10d53be7,
-  0x244292c, 0x10e15b4e, 0x2477adc, 0x10ed7a0e,
-  0x24aceed, 0x10f99827, 0x24e255e, 0x1105b599,
-  0x2517e31, 0x1111d263, 0x254d965, 0x111dee84,
-  0x25836f9, 0x112a09fc, 0x25b96ee, 0x113624cb,
-  0x25ef943, 0x11423ef0, 0x2625df8, 0x114e586a,
-  0x265c50e, 0x115a713a, 0x2692e83, 0x1166895f,
-  0x26c9a58, 0x1172a0d7, 0x270088e, 0x117eb7a4,
-  0x2737922, 0x118acdc4, 0x276ec16, 0x1196e337,
-  0x27a616a, 0x11a2f7fc, 0x27dd91c, 0x11af0c13,
-  0x281532e, 0x11bb1f7c, 0x284cf9f, 0x11c73235,
-  0x2884e6e, 0x11d3443f, 0x28bcf9c, 0x11df5599,
-  0x28f5329, 0x11eb6643, 0x292d914, 0x11f7763c,
-  0x296615d, 0x12038584, 0x299ec05, 0x120f941a,
-  0x29d790a, 0x121ba1fd, 0x2a1086d, 0x1227af2e,
-  0x2a49a2e, 0x1233bbac, 0x2a82e4d, 0x123fc776,
-  0x2abc4c9, 0x124bd28c, 0x2af5da2, 0x1257dced,
-  0x2b2f8d8, 0x1263e699, 0x2b6966c, 0x126fef90,
-  0x2ba365c, 0x127bf7d1, 0x2bdd8a9, 0x1287ff5b,
-  0x2c17d52, 0x1294062f, 0x2c52459, 0x12a00c4b,
-  0x2c8cdbb, 0x12ac11af, 0x2cc7979, 0x12b8165b,
-  0x2d02794, 0x12c41a4f, 0x2d3d80a, 0x12d01d89,
-  0x2d78add, 0x12dc2009, 0x2db400a, 0x12e821cf,
-  0x2def794, 0x12f422db, 0x2e2b178, 0x1300232c,
-  0x2e66db8, 0x130c22c1, 0x2ea2c53, 0x1318219a,
-  0x2eded49, 0x13241fb6, 0x2f1b099, 0x13301d16,
-  0x2f57644, 0x133c19b8, 0x2f93e4a, 0x1348159d,
-  0x2fd08a9, 0x135410c3, 0x300d563, 0x13600b2a,
-  0x304a477, 0x136c04d2, 0x30875e5, 0x1377fdbb,
-  0x30c49ad, 0x1383f5e3, 0x3101fce, 0x138fed4b,
-  0x313f848, 0x139be3f2, 0x317d31c, 0x13a7d9d7,
-  0x31bb049, 0x13b3cefa, 0x31f8fcf, 0x13bfc35b,
-  0x32371ae, 0x13cbb6f8, 0x32755e5, 0x13d7a9d3,
-  0x32b3c75, 0x13e39be9, 0x32f255e, 0x13ef8d3c,
-  0x333109e, 0x13fb7dc9, 0x336fe37, 0x14076d91,
-  0x33aee27, 0x14135c94, 0x33ee070, 0x141f4ad1,
-  0x342d510, 0x142b3846, 0x346cc07, 0x143724f5,
-  0x34ac556, 0x144310dd, 0x34ec0fc, 0x144efbfc,
-  0x352bef9, 0x145ae653, 0x356bf4d, 0x1466cfe1,
-  0x35ac1f7, 0x1472b8a5, 0x35ec6f8, 0x147ea0a0,
-  0x362ce50, 0x148a87d1, 0x366d7fd, 0x14966e36,
-  0x36ae401, 0x14a253d1, 0x36ef25b, 0x14ae38a0,
-  0x373030a, 0x14ba1ca3, 0x377160f, 0x14c5ffd9,
-  0x37b2b6a, 0x14d1e242, 0x37f4319, 0x14ddc3de,
-  0x3835d1e, 0x14e9a4ac, 0x3877978, 0x14f584ac,
-  0x38b9827, 0x150163dc, 0x38fb92a, 0x150d423d,
-  0x393dc82, 0x15191fcf, 0x398022f, 0x1524fc90,
-  0x39c2a2f, 0x1530d881, 0x3a05484, 0x153cb3a0,
-  0x3a4812c, 0x15488dee, 0x3a8b028, 0x1554676a,
-  0x3ace178, 0x15604013, 0x3b1151b, 0x156c17e9,
-  0x3b54b11, 0x1577eeec, 0x3b9835a, 0x1583c51b,
-  0x3bdbdf6, 0x158f9a76, 0x3c1fae5, 0x159b6efb,
-  0x3c63a26, 0x15a742ac, 0x3ca7bba, 0x15b31587,
-  0x3cebfa0, 0x15bee78c, 0x3d305d8, 0x15cab8ba,
-  0x3d74e62, 0x15d68911, 0x3db993e, 0x15e25890,
-  0x3dfe66c, 0x15ee2738, 0x3e435ea, 0x15f9f507,
-  0x3e887bb, 0x1605c1fd, 0x3ecdbdc, 0x16118e1a,
-  0x3f1324e, 0x161d595d, 0x3f58b10, 0x162923c5,
-  0x3f9e624, 0x1634ed53, 0x3fe4388, 0x1640b606,
-  0x402a33c, 0x164c7ddd, 0x4070540, 0x165844d8,
-  0x40b6994, 0x16640af7, 0x40fd037, 0x166fd039,
-  0x414392b, 0x167b949d, 0x418a46d, 0x16875823,
-  0x41d11ff, 0x16931acb, 0x42181e0, 0x169edc94,
-  0x425f410, 0x16aa9d7e, 0x42a688f, 0x16b65d88,
-  0x42edf5c, 0x16c21cb2, 0x4335877, 0x16cddafb,
-  0x437d3e1, 0x16d99864, 0x43c5199, 0x16e554ea,
-  0x440d19e, 0x16f1108f, 0x44553f2, 0x16fccb51,
-  0x449d892, 0x17088531, 0x44e5f80, 0x17143e2d,
-  0x452e8bc, 0x171ff646, 0x4577444, 0x172bad7a,
-  0x45c0219, 0x173763c9, 0x460923b, 0x17431933,
-  0x46524a9, 0x174ecdb8, 0x469b963, 0x175a8157,
-  0x46e5069, 0x1766340f, 0x472e9bc, 0x1771e5e0,
-  0x477855a, 0x177d96ca, 0x47c2344, 0x178946cc,
-  0x480c379, 0x1794f5e6, 0x48565f9, 0x17a0a417,
-  0x48a0ac4, 0x17ac515f, 0x48eb1db, 0x17b7fdbd,
-  0x4935b3c, 0x17c3a931, 0x49806e7, 0x17cf53bb,
-  0x49cb4dd, 0x17dafd59, 0x4a1651c, 0x17e6a60c,
-  0x4a617a6, 0x17f24dd3, 0x4aacc7a, 0x17fdf4ae,
-  0x4af8397, 0x18099a9c, 0x4b43cfd, 0x18153f9d,
-  0x4b8f8ad, 0x1820e3b0, 0x4bdb6a6, 0x182c86d5,
-  0x4c276e8, 0x1838290c, 0x4c73972, 0x1843ca53,
-  0x4cbfe45, 0x184f6aab, 0x4d0c560, 0x185b0a13,
-  0x4d58ec3, 0x1866a88a, 0x4da5a6f, 0x18724611,
-  0x4df2862, 0x187de2a7, 0x4e3f89c, 0x18897e4a,
-  0x4e8cb1e, 0x189518fc, 0x4ed9fe7, 0x18a0b2bb,
-  0x4f276f7, 0x18ac4b87, 0x4f7504e, 0x18b7e35f,
-  0x4fc2bec, 0x18c37a44, 0x50109d0, 0x18cf1034,
-  0x505e9fb, 0x18daa52f, 0x50acc6b, 0x18e63935,
-  0x50fb121, 0x18f1cc45, 0x514981d, 0x18fd5e5f,
-  0x519815f, 0x1908ef82, 0x51e6ce6, 0x19147fae,
-  0x5235ab2, 0x19200ee3, 0x5284ac3, 0x192b9d1f,
-  0x52d3d18, 0x19372a64, 0x53231b3, 0x1942b6af,
-  0x5372891, 0x194e4201, 0x53c21b4, 0x1959cc5a,
-  0x5411d1b, 0x196555b8, 0x5461ac6, 0x1970de1b,
-  0x54b1ab4, 0x197c6584, 0x5501ce5, 0x1987ebf0,
-  0x555215a, 0x19937161, 0x55a2812, 0x199ef5d6,
-  0x55f310d, 0x19aa794d, 0x5643c4a, 0x19b5fbc8,
-  0x56949ca, 0x19c17d44, 0x56e598c, 0x19ccfdc2,
-  0x5736b90, 0x19d87d42, 0x5787fd6, 0x19e3fbc3,
-  0x57d965d, 0x19ef7944, 0x582af26, 0x19faf5c5,
-  0x587ca31, 0x1a067145, 0x58ce77c, 0x1a11ebc5,
-  0x5920708, 0x1a1d6544, 0x59728d5, 0x1a28ddc0,
-  0x59c4ce3, 0x1a34553b, 0x5a17330, 0x1a3fcbb3,
-  0x5a69bbe, 0x1a4b4128, 0x5abc68c, 0x1a56b599,
-  0x5b0f399, 0x1a622907, 0x5b622e6, 0x1a6d9b70,
-  0x5bb5472, 0x1a790cd4, 0x5c0883d, 0x1a847d33,
-  0x5c5be47, 0x1a8fec8c, 0x5caf690, 0x1a9b5adf,
-  0x5d03118, 0x1aa6c82b, 0x5d56ddd, 0x1ab23471,
-  0x5daace1, 0x1abd9faf, 0x5dfee22, 0x1ac909e5,
-  0x5e531a1, 0x1ad47312, 0x5ea775e, 0x1adfdb37,
-  0x5efbf58, 0x1aeb4253, 0x5f5098f, 0x1af6a865,
-  0x5fa5603, 0x1b020d6c, 0x5ffa4b3, 0x1b0d716a,
-  0x604f5a0, 0x1b18d45c, 0x60a48c9, 0x1b243643,
-  0x60f9e2e, 0x1b2f971e, 0x614f5cf, 0x1b3af6ec,
-  0x61a4fac, 0x1b4655ae, 0x61fabc4, 0x1b51b363,
-  0x6250a18, 0x1b5d100a, 0x62a6aa6, 0x1b686ba3,
-  0x62fcd6f, 0x1b73c62d, 0x6353273, 0x1b7f1fa9,
-  0x63a99b1, 0x1b8a7815, 0x6400329, 0x1b95cf71,
-  0x6456edb, 0x1ba125bd, 0x64adcc7, 0x1bac7af9,
-  0x6504ced, 0x1bb7cf23, 0x655bf4c, 0x1bc3223c,
-  0x65b33e4, 0x1bce7442, 0x660aab5, 0x1bd9c537,
-  0x66623be, 0x1be51518, 0x66b9f01, 0x1bf063e6,
-  0x6711c7b, 0x1bfbb1a0, 0x6769c2e, 0x1c06fe46,
-  0x67c1e18, 0x1c1249d8, 0x681a23a, 0x1c1d9454,
-  0x6872894, 0x1c28ddbb, 0x68cb124, 0x1c34260c,
-  0x6923bec, 0x1c3f6d47, 0x697c8eb, 0x1c4ab36b,
-  0x69d5820, 0x1c55f878, 0x6a2e98b, 0x1c613c6d,
-  0x6a87d2d, 0x1c6c7f4a, 0x6ae1304, 0x1c77c10e,
-  0x6b3ab12, 0x1c8301b9, 0x6b94554, 0x1c8e414b,
-  0x6bee1cd, 0x1c997fc4, 0x6c4807a, 0x1ca4bd21,
-  0x6ca215c, 0x1caff965, 0x6cfc472, 0x1cbb348d,
-  0x6d569be, 0x1cc66e99, 0x6db113d, 0x1cd1a78a,
-  0x6e0baf0, 0x1cdcdf5e, 0x6e666d7, 0x1ce81615,
-  0x6ec14f2, 0x1cf34baf, 0x6f1c540, 0x1cfe802b,
-  0x6f777c1, 0x1d09b389, 0x6fd2c75, 0x1d14e5c9,
-  0x702e35c, 0x1d2016e9, 0x7089c75, 0x1d2b46ea,
-  0x70e57c0, 0x1d3675cb, 0x714153e, 0x1d41a38c,
-  0x719d4ed, 0x1d4cd02c, 0x71f96ce, 0x1d57fbaa,
-  0x7255ae0, 0x1d632608, 0x72b2123, 0x1d6e4f43,
-  0x730e997, 0x1d79775c, 0x736b43c, 0x1d849e51,
-  0x73c8111, 0x1d8fc424, 0x7425016, 0x1d9ae8d2,
-  0x748214c, 0x1da60c5d, 0x74df4b1, 0x1db12ec3,
-  0x753ca46, 0x1dbc5004, 0x759a20a, 0x1dc7701f,
-  0x75f7bfe, 0x1dd28f15, 0x7655820, 0x1dddace4,
-  0x76b3671, 0x1de8c98c, 0x77116f0, 0x1df3e50d,
-  0x776f99d, 0x1dfeff67, 0x77cde79, 0x1e0a1898,
-  0x782c582, 0x1e1530a1, 0x788aeb9, 0x1e204781,
-  0x78e9a1d, 0x1e2b5d38, 0x79487ae, 0x1e3671c5,
-  0x79a776c, 0x1e418528, 0x7a06957, 0x1e4c9760,
-  0x7a65d6e, 0x1e57a86d, 0x7ac53b1, 0x1e62b84f,
-  0x7b24c20, 0x1e6dc705, 0x7b846ba, 0x1e78d48e,
-  0x7be4381, 0x1e83e0eb, 0x7c44272, 0x1e8eec1b,
-  0x7ca438f, 0x1e99f61d, 0x7d046d6, 0x1ea4fef0,
-  0x7d64c47, 0x1eb00696, 0x7dc53e3, 0x1ebb0d0d,
-  0x7e25daa, 0x1ec61254, 0x7e8699a, 0x1ed1166b,
-  0x7ee77b3, 0x1edc1953, 0x7f487f6, 0x1ee71b0a,
-  0x7fa9a62, 0x1ef21b90, 0x800aef7, 0x1efd1ae4,
-  0x806c5b5, 0x1f081907, 0x80cde9b, 0x1f1315f7,
-  0x812f9a9, 0x1f1e11b5, 0x81916df, 0x1f290c3f,
-  0x81f363d, 0x1f340596, 0x82557c3, 0x1f3efdb9,
-  0x82b7b70, 0x1f49f4a8, 0x831a143, 0x1f54ea62,
-  0x837c93e, 0x1f5fdee6, 0x83df35f, 0x1f6ad235,
-  0x8441fa6, 0x1f75c44e, 0x84a4e14, 0x1f80b531,
-  0x8507ea7, 0x1f8ba4dc, 0x856b160, 0x1f969350,
-  0x85ce63e, 0x1fa1808c, 0x8631d42, 0x1fac6c91,
-  0x869566a, 0x1fb7575c, 0x86f91b7, 0x1fc240ef,
-  0x875cf28, 0x1fcd2948, 0x87c0ebd, 0x1fd81067,
-  0x8825077, 0x1fe2f64c, 0x8889454, 0x1feddaf6,
-  0x88eda54, 0x1ff8be65, 0x8952278, 0x2003a099,
-  0x89b6cbf, 0x200e8190, 0x8a1b928, 0x2019614c,
-  0x8a807b4, 0x20243fca, 0x8ae5862, 0x202f1d0b,
-  0x8b4ab32, 0x2039f90f, 0x8bb0023, 0x2044d3d4,
-  0x8c15736, 0x204fad5b, 0x8c7b06b, 0x205a85a3,
-  0x8ce0bc0, 0x20655cac, 0x8d46936, 0x20703275,
-  0x8dac8cd, 0x207b06fe, 0x8e12a84, 0x2085da46,
-  0x8e78e5b, 0x2090ac4d, 0x8edf452, 0x209b7d13,
-  0x8f45c68, 0x20a64c97, 0x8fac69e, 0x20b11ad9,
-  0x90132f2, 0x20bbe7d8, 0x907a166, 0x20c6b395,
-  0x90e11f7, 0x20d17e0d, 0x91484a8, 0x20dc4742,
-  0x91af976, 0x20e70f32, 0x9217062, 0x20f1d5de,
-  0x927e96b, 0x20fc9b44, 0x92e6492, 0x21075f65,
-  0x934e1d6, 0x21122240, 0x93b6137, 0x211ce3d5,
-  0x941e2b4, 0x2127a423, 0x948664d, 0x21326329,
-  0x94eec03, 0x213d20e8, 0x95573d4, 0x2147dd5f,
-  0x95bfdc1, 0x2152988d, 0x96289c9, 0x215d5273,
-  0x96917ec, 0x21680b0f, 0x96fa82a, 0x2172c262,
-  0x9763a83, 0x217d786a, 0x97ccef5, 0x21882d28,
-  0x9836582, 0x2192e09b, 0x989fe29, 0x219d92c2,
-  0x99098e9, 0x21a8439e, 0x99735c2, 0x21b2f32e,
-  0x99dd4b4, 0x21bda171, 0x9a475bf, 0x21c84e67,
-  0x9ab18e3, 0x21d2fa0f, 0x9b1be1e, 0x21dda46a,
-  0x9b86572, 0x21e84d76, 0x9bf0edd, 0x21f2f534,
-  0x9c5ba60, 0x21fd9ba3, 0x9cc67fa, 0x220840c2,
-  0x9d317ab, 0x2212e492, 0x9d9c973, 0x221d8711,
-  0x9e07d51, 0x2228283f, 0x9e73346, 0x2232c81c,
-  0x9edeb50, 0x223d66a8, 0x9f4a570, 0x224803e2,
-  0x9fb61a5, 0x22529fca, 0xa021fef, 0x225d3a5e,
-  0xa08e04f, 0x2267d3a0, 0xa0fa2c3, 0x22726b8e,
-  0xa16674b, 0x227d0228, 0xa1d2de7, 0x2287976e,
-  0xa23f698, 0x22922b5e, 0xa2ac15b, 0x229cbdfa,
-  0xa318e32, 0x22a74f40, 0xa385d1d, 0x22b1df30,
-  0xa3f2e19, 0x22bc6dca, 0xa460129, 0x22c6fb0c,
-  0xa4cd64b, 0x22d186f8, 0xa53ad7e, 0x22dc118c,
-  0xa5a86c4, 0x22e69ac8, 0xa61621b, 0x22f122ab,
-  0xa683f83, 0x22fba936, 0xa6f1efc, 0x23062e67,
-  0xa760086, 0x2310b23e, 0xa7ce420, 0x231b34bc,
-  0xa83c9ca, 0x2325b5df, 0xa8ab184, 0x233035a7,
-  0xa919b4e, 0x233ab414, 0xa988727, 0x23453125,
-  0xa9f750f, 0x234facda, 0xaa66506, 0x235a2733,
-  0xaad570c, 0x2364a02e, 0xab44b1f, 0x236f17cc,
-  0xabb4141, 0x23798e0d, 0xac23971, 0x238402ef,
-  0xac933ae, 0x238e7673, 0xad02ff8, 0x2398e898,
-  0xad72e4f, 0x23a3595e, 0xade2eb3, 0x23adc8c4,
-  0xae53123, 0x23b836ca, 0xaec35a0, 0x23c2a36f,
-  0xaf33c28, 0x23cd0eb3, 0xafa44bc, 0x23d77896,
-  0xb014f5b, 0x23e1e117, 0xb085c05, 0x23ec4837,
-  0xb0f6aba, 0x23f6adf3, 0xb167b79, 0x2401124d,
-  0xb1d8e43, 0x240b7543, 0xb24a316, 0x2415d6d5,
-  0xb2bb9f4, 0x24203704, 0xb32d2da, 0x242a95ce,
-  0xb39edca, 0x2434f332, 0xb410ac3, 0x243f4f32,
-  0xb4829c4, 0x2449a9cc, 0xb4f4acd, 0x245402ff,
-  0xb566ddf, 0x245e5acc, 0xb5d92f8, 0x2468b132,
-  0xb64ba19, 0x24730631, 0xb6be341, 0x247d59c8,
-  0xb730e70, 0x2487abf7, 0xb7a3ba5, 0x2491fcbe,
-  0xb816ae1, 0x249c4c1b, 0xb889c23, 0x24a69a0f,
-  0xb8fcf6b, 0x24b0e699, 0xb9704b9, 0x24bb31ba,
-  0xb9e3c0b, 0x24c57b6f, 0xba57563, 0x24cfc3ba,
-  0xbacb0bf, 0x24da0a9a, 0xbb3ee20, 0x24e4500e,
-  0xbbb2d85, 0x24ee9415, 0xbc26eee, 0x24f8d6b0,
-  0xbc9b25a, 0x250317df, 0xbd0f7ca, 0x250d57a0,
-  0xbd83f3d, 0x251795f3, 0xbdf88b3, 0x2521d2d8,
-  0xbe6d42b, 0x252c0e4f, 0xbee21a5, 0x25364857,
-  0xbf57121, 0x254080ef, 0xbfcc29f, 0x254ab818,
-  0xc04161e, 0x2554edd1, 0xc0b6b9e, 0x255f2219,
-  0xc12c31f, 0x256954f1, 0xc1a1ca0, 0x25738657,
-  0xc217822, 0x257db64c, 0xc28d5a3, 0x2587e4cf,
-  0xc303524, 0x259211df, 0xc3796a5, 0x259c3d7c,
-  0xc3efa25, 0x25a667a7, 0xc465fa3, 0x25b0905d,
-  0xc4dc720, 0x25bab7a0, 0xc55309b, 0x25c4dd6e,
-  0xc5c9c14, 0x25cf01c8, 0xc64098b, 0x25d924ac,
-  0xc6b78ff, 0x25e3461b, 0xc72ea70, 0x25ed6614,
-  0xc7a5dde, 0x25f78497, 0xc81d349, 0x2601a1a2,
-  0xc894aaf, 0x260bbd37, 0xc90c412, 0x2615d754,
-  0xc983f70, 0x261feffa, 0xc9fbcca, 0x262a0727,
-  0xca73c1e, 0x26341cdb, 0xcaebd6e, 0x263e3117,
-  0xcb640b8, 0x264843d9, 0xcbdc5fc, 0x26525521,
-  0xcc54d3a, 0x265c64ef, 0xcccd671, 0x26667342,
-  0xcd461a2, 0x2670801a, 0xcdbeecc, 0x267a8b77,
-  0xce37def, 0x26849558, 0xceb0f0a, 0x268e9dbd,
-  0xcf2a21d, 0x2698a4a6, 0xcfa3729, 0x26a2aa11,
-  0xd01ce2b, 0x26acadff, 0xd096725, 0x26b6b070,
-  0xd110216, 0x26c0b162, 0xd189efe, 0x26cab0d6,
-  0xd203ddc, 0x26d4aecb, 0xd27deb0, 0x26deab41,
-  0xd2f817b, 0x26e8a637, 0xd37263a, 0x26f29fad,
-  0xd3eccef, 0x26fc97a3, 0xd467599, 0x27068e18,
-  0xd4e2037, 0x2710830c, 0xd55ccca, 0x271a767e,
-  0xd5d7b50, 0x2724686e, 0xd652bcb, 0x272e58dc,
-  0xd6cde39, 0x273847c8, 0xd74929a, 0x27423530,
-  0xd7c48ee, 0x274c2115, 0xd840134, 0x27560b76,
-  0xd8bbb6d, 0x275ff452, 0xd937798, 0x2769dbaa,
-  0xd9b35b4, 0x2773c17d, 0xda2f5c2, 0x277da5cb,
-  0xdaab7c0, 0x27878893, 0xdb27bb0, 0x279169d5,
-  0xdba4190, 0x279b4990, 0xdc20960, 0x27a527c4,
-  0xdc9d320, 0x27af0472, 0xdd19ed0, 0x27b8df97,
-  0xdd96c6f, 0x27c2b934, 0xde13bfd, 0x27cc9149,
-  0xde90d79, 0x27d667d5, 0xdf0e0e4, 0x27e03cd8,
-  0xdf8b63d, 0x27ea1052, 0xe008d84, 0x27f3e241,
-  0xe0866b8, 0x27fdb2a7, 0xe1041d9, 0x28078181,
-  0xe181ee8, 0x28114ed0, 0xe1ffde2, 0x281b1a94,
-  0xe27dec9, 0x2824e4cc, 0xe2fc19c, 0x282ead78,
-  0xe37a65b, 0x28387498, 0xe3f8d05, 0x28423a2a,
-  0xe47759a, 0x284bfe2f, 0xe4f6019, 0x2855c0a6,
-  0xe574c84, 0x285f8190, 0xe5f3ad8, 0x286940ea,
-  0xe672b16, 0x2872feb6, 0xe6f1d3d, 0x287cbaf3,
-  0xe77114e, 0x288675a0, 0xe7f0748, 0x28902ebd,
-  0xe86ff2a, 0x2899e64a, 0xe8ef8f4, 0x28a39c46,
-  0xe96f4a7, 0x28ad50b1, 0xe9ef241, 0x28b7038b,
-  0xea6f1c2, 0x28c0b4d2, 0xeaef32b, 0x28ca6488,
-  0xeb6f67a, 0x28d412ab, 0xebefbb0, 0x28ddbf3b,
-  0xec702cb, 0x28e76a37, 0xecf0bcd, 0x28f113a0,
-  0xed716b4, 0x28fabb75, 0xedf2380, 0x290461b5,
-  0xee73231, 0x290e0661, 0xeef42c7, 0x2917a977,
-  0xef75541, 0x29214af8, 0xeff699f, 0x292aeae3,
-  0xf077fe1, 0x29348937, 0xf0f9805, 0x293e25f5,
-  0xf17b20d, 0x2947c11c, 0xf1fcdf8, 0x29515aab,
-  0xf27ebc5, 0x295af2a3, 0xf300b74, 0x29648902,
-  0xf382d05, 0x296e1dc9, 0xf405077, 0x2977b0f7,
-  0xf4875ca, 0x2981428c, 0xf509cfe, 0x298ad287,
-  0xf58c613, 0x299460e8, 0xf60f108, 0x299dedaf,
-  0xf691ddd, 0x29a778db, 0xf714c91, 0x29b1026c,
-  0xf797d24, 0x29ba8a61, 0xf81af97, 0x29c410ba,
-  0xf89e3e8, 0x29cd9578, 0xf921a17, 0x29d71899,
-  0xf9a5225, 0x29e09a1c, 0xfa28c10, 0x29ea1a03,
-  0xfaac7d8, 0x29f3984c, 0xfb3057d, 0x29fd14f6,
-  0xfbb4500, 0x2a069003, 0xfc3865e, 0x2a100970,
-  0xfcbc999, 0x2a19813f, 0xfd40eaf, 0x2a22f76e,
-  0xfdc55a1, 0x2a2c6bfd, 0xfe49e6d, 0x2a35deeb,
-  0xfece915, 0x2a3f503a, 0xff53597, 0x2a48bfe7,
-  0xffd83f4, 0x2a522df3, 0x1005d42a, 0x2a5b9a5d,
-  0x100e2639, 0x2a650525, 0x10167a22, 0x2a6e6e4b,
-  0x101ecfe4, 0x2a77d5ce, 0x1027277e, 0x2a813bae,
-  0x102f80f1, 0x2a8a9fea, 0x1037dc3b, 0x2a940283,
-  0x1040395d, 0x2a9d6377, 0x10489856, 0x2aa6c2c6,
-  0x1050f926, 0x2ab02071, 0x10595bcd, 0x2ab97c77,
-  0x1061c04a, 0x2ac2d6d6, 0x106a269d, 0x2acc2f90,
-  0x10728ec6, 0x2ad586a3, 0x107af8c4, 0x2adedc10,
-  0x10836497, 0x2ae82fd5, 0x108bd23f, 0x2af181f3,
-  0x109441bb, 0x2afad269, 0x109cb30b, 0x2b042137,
-  0x10a5262f, 0x2b0d6e5c, 0x10ad9b26, 0x2b16b9d9,
-  0x10b611f1, 0x2b2003ac, 0x10be8a8d, 0x2b294bd5,
-  0x10c704fd, 0x2b329255, 0x10cf813e, 0x2b3bd72a,
-  0x10d7ff51, 0x2b451a55, 0x10e07f36, 0x2b4e5bd4,
-  0x10e900ec, 0x2b579ba8, 0x10f18472, 0x2b60d9d0,
-  0x10fa09c9, 0x2b6a164d, 0x110290f0, 0x2b73511c,
-  0x110b19e7, 0x2b7c8a3f, 0x1113a4ad, 0x2b85c1b5,
-  0x111c3142, 0x2b8ef77d, 0x1124bfa6, 0x2b982b97,
-  0x112d4fd9, 0x2ba15e03, 0x1135e1d9, 0x2baa8ec0,
-  0x113e75a8, 0x2bb3bdce, 0x11470b44, 0x2bbceb2d,
-  0x114fa2ad, 0x2bc616dd, 0x11583be2, 0x2bcf40dc,
-  0x1160d6e5, 0x2bd8692b, 0x116973b3, 0x2be18fc9,
-  0x1172124d, 0x2beab4b6, 0x117ab2b3, 0x2bf3d7f2,
-  0x118354e4, 0x2bfcf97c, 0x118bf8e0, 0x2c061953,
-  0x11949ea6, 0x2c0f3779, 0x119d4636, 0x2c1853eb,
-  0x11a5ef90, 0x2c216eaa, 0x11ae9ab4, 0x2c2a87b6,
-  0x11b747a0, 0x2c339f0e, 0x11bff656, 0x2c3cb4b1,
-  0x11c8a6d4, 0x2c45c8a0, 0x11d1591a, 0x2c4edada,
-  0x11da0d28, 0x2c57eb5e, 0x11e2c2fd, 0x2c60fa2d,
-  0x11eb7a9a, 0x2c6a0746, 0x11f433fd, 0x2c7312a9,
-  0x11fcef27, 0x2c7c1c55, 0x1205ac17, 0x2c85244a,
-  0x120e6acc, 0x2c8e2a87, 0x12172b48, 0x2c972f0d,
-  0x121fed88, 0x2ca031da, 0x1228b18d, 0x2ca932ef,
-  0x12317756, 0x2cb2324c, 0x123a3ee4, 0x2cbb2fef,
-  0x12430835, 0x2cc42bd9, 0x124bd34a, 0x2ccd2609,
-  0x1254a021, 0x2cd61e7f, 0x125d6ebc, 0x2cdf153a,
-  0x12663f19, 0x2ce80a3a, 0x126f1138, 0x2cf0fd80,
-  0x1277e518, 0x2cf9ef09, 0x1280babb, 0x2d02ded7,
-  0x1289921e, 0x2d0bcce8, 0x12926b41, 0x2d14b93d,
-  0x129b4626, 0x2d1da3d5, 0x12a422ca, 0x2d268cb0,
-  0x12ad012e, 0x2d2f73cd, 0x12b5e151, 0x2d38592c,
-  0x12bec333, 0x2d413ccd, 0x12c7a6d4, 0x2d4a1eaf,
-  0x12d08c33, 0x2d52fed2, 0x12d97350, 0x2d5bdd36,
-  0x12e25c2b, 0x2d64b9da, 0x12eb46c3, 0x2d6d94bf,
-  0x12f43318, 0x2d766de2, 0x12fd2129, 0x2d7f4545,
-  0x130610f7, 0x2d881ae8, 0x130f0280, 0x2d90eec8,
-  0x1317f5c6, 0x2d99c0e7, 0x1320eac6, 0x2da29144,
-  0x1329e181, 0x2dab5fdf, 0x1332d9f7, 0x2db42cb6,
-  0x133bd427, 0x2dbcf7cb, 0x1344d011, 0x2dc5c11c,
-  0x134dcdb4, 0x2dce88aa, 0x1356cd11, 0x2dd74e73,
-  0x135fce26, 0x2de01278, 0x1368d0f3, 0x2de8d4b8,
-  0x1371d579, 0x2df19534, 0x137adbb6, 0x2dfa53e9,
-  0x1383e3ab, 0x2e0310d9, 0x138ced57, 0x2e0bcc03,
-  0x1395f8ba, 0x2e148566, 0x139f05d3, 0x2e1d3d03,
-  0x13a814a2, 0x2e25f2d8, 0x13b12526, 0x2e2ea6e6,
-  0x13ba3760, 0x2e37592c, 0x13c34b4f, 0x2e4009aa,
-  0x13cc60f2, 0x2e48b860, 0x13d5784a, 0x2e51654c,
-  0x13de9156, 0x2e5a1070, 0x13e7ac15, 0x2e62b9ca,
-  0x13f0c887, 0x2e6b615a, 0x13f9e6ad, 0x2e740720,
-  0x14030684, 0x2e7cab1c, 0x140c280e, 0x2e854d4d,
-  0x14154b4a, 0x2e8dedb3, 0x141e7037, 0x2e968c4d,
-  0x142796d5, 0x2e9f291b, 0x1430bf24, 0x2ea7c41e,
-  0x1439e923, 0x2eb05d53, 0x144314d3, 0x2eb8f4bc,
-  0x144c4232, 0x2ec18a58, 0x14557140, 0x2eca1e27,
-  0x145ea1fd, 0x2ed2b027, 0x1467d469, 0x2edb405a,
-  0x14710883, 0x2ee3cebe, 0x147a3e4b, 0x2eec5b53,
-  0x148375c1, 0x2ef4e619, 0x148caee4, 0x2efd6f10,
-  0x1495e9b3, 0x2f05f637, 0x149f2630, 0x2f0e7b8e,
-  0x14a86458, 0x2f16ff14, 0x14b1a42c, 0x2f1f80ca,
-  0x14bae5ab, 0x2f2800af, 0x14c428d6, 0x2f307ec2,
-  0x14cd6dab, 0x2f38fb03, 0x14d6b42b, 0x2f417573,
-  0x14dffc54, 0x2f49ee0f, 0x14e94627, 0x2f5264da,
-  0x14f291a4, 0x2f5ad9d1, 0x14fbdec9, 0x2f634cf5,
-  0x15052d97, 0x2f6bbe45, 0x150e7e0d, 0x2f742dc1,
-  0x1517d02b, 0x2f7c9b69, 0x152123f0, 0x2f85073c,
-  0x152a795d, 0x2f8d713a, 0x1533d070, 0x2f95d963,
-  0x153d292a, 0x2f9e3fb6, 0x15468389, 0x2fa6a433,
-  0x154fdf8f, 0x2faf06da, 0x15593d3a, 0x2fb767aa,
-  0x15629c89, 0x2fbfc6a3, 0x156bfd7d, 0x2fc823c5,
-  0x15756016, 0x2fd07f0f, 0x157ec452, 0x2fd8d882,
-  0x15882a32, 0x2fe1301c, 0x159191b5, 0x2fe985de,
-  0x159afadb, 0x2ff1d9c7, 0x15a465a3, 0x2ffa2bd6,
-  0x15add20d, 0x30027c0c, 0x15b74019, 0x300aca69,
-  0x15c0afc6, 0x301316eb, 0x15ca2115, 0x301b6193,
-  0x15d39403, 0x3023aa5f, 0x15dd0892, 0x302bf151,
-  0x15e67ec1, 0x30343667, 0x15eff690, 0x303c79a2,
-  0x15f96ffd, 0x3044bb00, 0x1602eb0a, 0x304cfa83,
-  0x160c67b4, 0x30553828, 0x1615e5fd, 0x305d73f0,
-  0x161f65e4, 0x3065addb, 0x1628e767, 0x306de5e9,
-  0x16326a88, 0x30761c18, 0x163bef46, 0x307e5069,
-  0x1645759f, 0x308682dc, 0x164efd94, 0x308eb36f,
-  0x16588725, 0x3096e223, 0x16621251, 0x309f0ef8,
-  0x166b9f18, 0x30a739ed, 0x16752d79, 0x30af6302,
-  0x167ebd74, 0x30b78a36, 0x16884f09, 0x30bfaf89,
-  0x1691e237, 0x30c7d2fb, 0x169b76fe, 0x30cff48c,
-  0x16a50d5d, 0x30d8143b, 0x16aea555, 0x30e03208,
-  0x16b83ee4, 0x30e84df3, 0x16c1da0b, 0x30f067fb,
-  0x16cb76c9, 0x30f8801f, 0x16d5151d, 0x31009661,
-  0x16deb508, 0x3108aabf, 0x16e85689, 0x3110bd39,
-  0x16f1f99f, 0x3118cdcf, 0x16fb9e4b, 0x3120dc80,
-  0x1705448b, 0x3128e94c, 0x170eec60, 0x3130f433,
-  0x171895c9, 0x3138fd35, 0x172240c5, 0x31410450,
-  0x172bed55, 0x31490986, 0x17359b78, 0x31510cd5,
-  0x173f4b2e, 0x31590e3e, 0x1748fc75, 0x31610dbf,
-  0x1752af4f, 0x31690b59, 0x175c63ba, 0x3171070c,
-  0x176619b6, 0x317900d6, 0x176fd143, 0x3180f8b8,
-  0x17798a60, 0x3188eeb2, 0x1783450d, 0x3190e2c3,
-  0x178d014a, 0x3198d4ea, 0x1796bf16, 0x31a0c528,
-  0x17a07e70, 0x31a8b37c, 0x17aa3f5a, 0x31b09fe7,
-  0x17b401d1, 0x31b88a66, 0x17bdc5d6, 0x31c072fb,
-  0x17c78b68, 0x31c859a5, 0x17d15288, 0x31d03e64,
-  0x17db1b34, 0x31d82137, 0x17e4e56c, 0x31e0021e,
-  0x17eeb130, 0x31e7e118, 0x17f87e7f, 0x31efbe27,
-  0x18024d59, 0x31f79948, 0x180c1dbf, 0x31ff727c,
-  0x1815efae, 0x320749c3, 0x181fc328, 0x320f1f1c,
-  0x1829982b, 0x3216f287, 0x18336eb7, 0x321ec403,
-  0x183d46cc, 0x32269391, 0x18472069, 0x322e6130,
-  0x1850fb8e, 0x32362ce0, 0x185ad83c, 0x323df6a0,
-  0x1864b670, 0x3245be70, 0x186e962b, 0x324d8450,
-  0x1878776d, 0x32554840, 0x18825a35, 0x325d0a3e,
-  0x188c3e83, 0x3264ca4c, 0x18962456, 0x326c8868,
-  0x18a00bae, 0x32744493, 0x18a9f48a, 0x327bfecc,
-  0x18b3deeb, 0x3283b712, 0x18bdcad0, 0x328b6d66,
-  0x18c7b838, 0x329321c7, 0x18d1a724, 0x329ad435,
-  0x18db9792, 0x32a284b0, 0x18e58982, 0x32aa3336,
-  0x18ef7cf4, 0x32b1dfc9, 0x18f971e8, 0x32b98a67,
-  0x1903685d, 0x32c13311, 0x190d6053, 0x32c8d9c6,
-  0x191759c9, 0x32d07e85, 0x192154bf, 0x32d82150,
-  0x192b5135, 0x32dfc224, 0x19354f2a, 0x32e76102,
-  0x193f4e9e, 0x32eefdea, 0x19494f90, 0x32f698db,
-  0x19535201, 0x32fe31d5, 0x195d55ef, 0x3305c8d7,
-  0x19675b5a, 0x330d5de3, 0x19716243, 0x3314f0f6,
-  0x197b6aa8, 0x331c8211, 0x19857489, 0x33241134,
-  0x198f7fe6, 0x332b9e5e, 0x19998cbe, 0x3333298f,
-  0x19a39b11, 0x333ab2c6, 0x19adaadf, 0x33423a04,
-  0x19b7bc27, 0x3349bf48, 0x19c1cee9, 0x33514292,
-  0x19cbe325, 0x3358c3e2, 0x19d5f8d9, 0x33604336,
-  0x19e01006, 0x3367c090, 0x19ea28ac, 0x336f3bee,
-  0x19f442c9, 0x3376b551, 0x19fe5e5e, 0x337e2cb7,
-  0x1a087b69, 0x3385a222, 0x1a1299ec, 0x338d1590,
-  0x1a1cb9e5, 0x33948701, 0x1a26db54, 0x339bf675,
-  0x1a30fe38, 0x33a363ec, 0x1a3b2292, 0x33aacf65,
-  0x1a454860, 0x33b238e0, 0x1a4f6fa3, 0x33b9a05d,
-  0x1a599859, 0x33c105db, 0x1a63c284, 0x33c8695b,
-  0x1a6dee21, 0x33cfcadc, 0x1a781b31, 0x33d72a5d,
-  0x1a8249b4, 0x33de87de, 0x1a8c79a9, 0x33e5e360,
-  0x1a96ab0f, 0x33ed3ce1, 0x1aa0dde7, 0x33f49462,
-  0x1aab122f, 0x33fbe9e2, 0x1ab547e8, 0x34033d61,
-  0x1abf7f11, 0x340a8edf, 0x1ac9b7a9, 0x3411de5b,
-  0x1ad3f1b1, 0x34192bd5, 0x1ade2d28, 0x3420774d,
-  0x1ae86a0d, 0x3427c0c3, 0x1af2a860, 0x342f0836,
-  0x1afce821, 0x34364da6, 0x1b072950, 0x343d9112,
-  0x1b116beb, 0x3444d27b, 0x1b1baff2, 0x344c11e0,
-  0x1b25f566, 0x34534f41, 0x1b303c46, 0x345a8a9d,
-  0x1b3a8491, 0x3461c3f5, 0x1b44ce46, 0x3468fb47,
-  0x1b4f1967, 0x34703095, 0x1b5965f1, 0x347763dd,
-  0x1b63b3e5, 0x347e951f, 0x1b6e0342, 0x3485c45b,
-  0x1b785409, 0x348cf190, 0x1b82a638, 0x34941cbf,
-  0x1b8cf9cf, 0x349b45e7, 0x1b974ece, 0x34a26d08,
-  0x1ba1a534, 0x34a99221, 0x1babfd01, 0x34b0b533,
-  0x1bb65634, 0x34b7d63c, 0x1bc0b0ce, 0x34bef53d,
-  0x1bcb0cce, 0x34c61236, 0x1bd56a32, 0x34cd2d26,
-  0x1bdfc8fc, 0x34d4460c, 0x1bea292b, 0x34db5cea,
-  0x1bf48abd, 0x34e271bd, 0x1bfeedb3, 0x34e98487,
-  0x1c09520d, 0x34f09546, 0x1c13b7c9, 0x34f7a3fb,
-  0x1c1e1ee9, 0x34feb0a5, 0x1c28876a, 0x3505bb44,
-  0x1c32f14d, 0x350cc3d8, 0x1c3d5c91, 0x3513ca60,
-  0x1c47c936, 0x351acedd, 0x1c52373c, 0x3521d14d,
-  0x1c5ca6a2, 0x3528d1b1, 0x1c671768, 0x352fd008,
-  0x1c71898d, 0x3536cc52, 0x1c7bfd11, 0x353dc68f,
-  0x1c8671f3, 0x3544bebf, 0x1c90e834, 0x354bb4e1,
-  0x1c9b5fd2, 0x3552a8f4, 0x1ca5d8cd, 0x35599afa,
-  0x1cb05326, 0x35608af1, 0x1cbacedb, 0x356778d9,
-  0x1cc54bec, 0x356e64b2, 0x1ccfca59, 0x35754e7c,
-  0x1cda4a21, 0x357c3636, 0x1ce4cb44, 0x35831be0,
-  0x1cef4dc2, 0x3589ff7a, 0x1cf9d199, 0x3590e104,
-  0x1d0456ca, 0x3597c07d, 0x1d0edd55, 0x359e9de5,
-  0x1d196538, 0x35a5793c, 0x1d23ee74, 0x35ac5282,
-  0x1d2e7908, 0x35b329b5, 0x1d3904f4, 0x35b9fed7,
-  0x1d439236, 0x35c0d1e7, 0x1d4e20d0, 0x35c7a2e3,
-  0x1d58b0c0, 0x35ce71ce, 0x1d634206, 0x35d53ea5,
-  0x1d6dd4a2, 0x35dc0968, 0x1d786892, 0x35e2d219,
-  0x1d82fdd8, 0x35e998b5, 0x1d8d9472, 0x35f05d3d,
-  0x1d982c60, 0x35f71fb1, 0x1da2c5a2, 0x35fde011,
-  0x1dad6036, 0x36049e5b, 0x1db7fc1e, 0x360b5a90,
-  0x1dc29958, 0x361214b0, 0x1dcd37e4, 0x3618ccba,
-  0x1dd7d7c1, 0x361f82af, 0x1de278ef, 0x3626368d,
-  0x1ded1b6e, 0x362ce855, 0x1df7bf3e, 0x36339806,
-  0x1e02645d, 0x363a45a0, 0x1e0d0acc, 0x3640f123,
-  0x1e17b28a, 0x36479a8e, 0x1e225b96, 0x364e41e2,
-  0x1e2d05f1, 0x3654e71d, 0x1e37b199, 0x365b8a41,
-  0x1e425e8f, 0x36622b4c, 0x1e4d0cd2, 0x3668ca3e,
-  0x1e57bc62, 0x366f6717, 0x1e626d3e, 0x367601d7,
-  0x1e6d1f65, 0x367c9a7e, 0x1e77d2d8, 0x3683310b,
-  0x1e828796, 0x3689c57d, 0x1e8d3d9e, 0x369057d6,
-  0x1e97f4f1, 0x3696e814, 0x1ea2ad8d, 0x369d7637,
-  0x1ead6773, 0x36a4023f, 0x1eb822a1, 0x36aa8c2c,
-  0x1ec2df18, 0x36b113fd, 0x1ecd9cd7, 0x36b799b3,
-  0x1ed85bdd, 0x36be1d4c, 0x1ee31c2b, 0x36c49ec9,
-  0x1eedddc0, 0x36cb1e2a, 0x1ef8a09b, 0x36d19b6e,
-  0x1f0364bc, 0x36d81695, 0x1f0e2a22, 0x36de8f9e,
-  0x1f18f0ce, 0x36e5068a, 0x1f23b8be, 0x36eb7b58,
-  0x1f2e81f3, 0x36f1ee09, 0x1f394c6b, 0x36f85e9a,
-  0x1f441828, 0x36fecd0e, 0x1f4ee527, 0x37053962,
-  0x1f59b369, 0x370ba398, 0x1f6482ed, 0x37120bae,
-  0x1f6f53b3, 0x371871a5, 0x1f7a25ba, 0x371ed57c,
-  0x1f84f902, 0x37253733, 0x1f8fcd8b, 0x372b96ca,
-  0x1f9aa354, 0x3731f440, 0x1fa57a5d, 0x37384f95,
-  0x1fb052a5, 0x373ea8ca, 0x1fbb2c2c, 0x3744ffdd,
-  0x1fc606f1, 0x374b54ce, 0x1fd0e2f5, 0x3751a79e,
-  0x1fdbc036, 0x3757f84c, 0x1fe69eb4, 0x375e46d8,
-  0x1ff17e70, 0x37649341, 0x1ffc5f67, 0x376add88,
-  0x2007419b, 0x377125ac, 0x2012250a, 0x37776bac,
-  0x201d09b4, 0x377daf89, 0x2027ef99, 0x3783f143,
-  0x2032d6b8, 0x378a30d8, 0x203dbf11, 0x37906e49,
-  0x2048a8a4, 0x3796a996, 0x2053936f, 0x379ce2be,
-  0x205e7f74, 0x37a319c2, 0x20696cb0, 0x37a94ea0,
-  0x20745b24, 0x37af8159, 0x207f4acf, 0x37b5b1ec,
-  0x208a3bb2, 0x37bbe05a, 0x20952dcb, 0x37c20ca1,
-  0x20a0211a, 0x37c836c2, 0x20ab159e, 0x37ce5ebd,
-  0x20b60b58, 0x37d48490, 0x20c10247, 0x37daa83d,
-  0x20cbfa6a, 0x37e0c9c3, 0x20d6f3c1, 0x37e6e921,
-  0x20e1ee4b, 0x37ed0657, 0x20ecea09, 0x37f32165,
-  0x20f7e6f9, 0x37f93a4b, 0x2102e51c, 0x37ff5109,
-  0x210de470, 0x3805659e, 0x2118e4f6, 0x380b780a,
-  0x2123e6ad, 0x3811884d, 0x212ee995, 0x38179666,
-  0x2139edac, 0x381da256, 0x2144f2f3, 0x3823ac1d,
-  0x214ff96a, 0x3829b3b9, 0x215b0110, 0x382fb92a,
-  0x216609e3, 0x3835bc71, 0x217113e5, 0x383bbd8e,
-  0x217c1f15, 0x3841bc7f, 0x21872b72, 0x3847b946,
-  0x219238fb, 0x384db3e0, 0x219d47b1, 0x3853ac4f,
-  0x21a85793, 0x3859a292, 0x21b368a0, 0x385f96a9,
-  0x21be7ad8, 0x38658894, 0x21c98e3b, 0x386b7852,
-  0x21d4a2c8, 0x387165e3, 0x21dfb87f, 0x38775147,
-  0x21eacf5f, 0x387d3a7e, 0x21f5e768, 0x38832187,
-  0x22010099, 0x38890663, 0x220c1af3, 0x388ee910,
-  0x22173674, 0x3894c98f, 0x2222531c, 0x389aa7e0,
-  0x222d70eb, 0x38a08402, 0x22388fe1, 0x38a65df6,
-  0x2243affc, 0x38ac35ba, 0x224ed13d, 0x38b20b4f,
-  0x2259f3a3, 0x38b7deb4, 0x2265172e, 0x38bdafea,
-  0x22703bdc, 0x38c37eef, 0x227b61af, 0x38c94bc4,
-  0x228688a4, 0x38cf1669, 0x2291b0bd, 0x38d4dedd,
-  0x229cd9f8, 0x38daa520, 0x22a80456, 0x38e06932,
-  0x22b32fd4, 0x38e62b13, 0x22be5c74, 0x38ebeac2,
-  0x22c98a35, 0x38f1a840, 0x22d4b916, 0x38f7638b,
-  0x22dfe917, 0x38fd1ca4, 0x22eb1a37, 0x3902d38b,
-  0x22f64c77, 0x3908883f, 0x23017fd5, 0x390e3ac0,
-  0x230cb451, 0x3913eb0e, 0x2317e9eb, 0x39199929,
-  0x232320a2, 0x391f4510, 0x232e5876, 0x3924eec3,
-  0x23399167, 0x392a9642, 0x2344cb73, 0x39303b8e,
-  0x2350069b, 0x3935dea4, 0x235b42df, 0x393b7f86,
-  0x2366803c, 0x39411e33, 0x2371beb5, 0x3946baac,
-  0x237cfe47, 0x394c54ee, 0x23883ef2, 0x3951ecfc,
-  0x239380b6, 0x395782d3, 0x239ec393, 0x395d1675,
-  0x23aa0788, 0x3962a7e0, 0x23b54c95, 0x39683715,
-  0x23c092b9, 0x396dc414, 0x23cbd9f4, 0x39734edc,
-  0x23d72245, 0x3978d76c, 0x23e26bac, 0x397e5dc6,
-  0x23edb628, 0x3983e1e8, 0x23f901ba, 0x398963d2,
-  0x24044e60, 0x398ee385, 0x240f9c1a, 0x399460ff,
-  0x241aeae8, 0x3999dc42, 0x24263ac9, 0x399f554b,
-  0x24318bbe, 0x39a4cc1c, 0x243cddc4, 0x39aa40b4,
-  0x244830dd, 0x39afb313, 0x24538507, 0x39b52339,
-  0x245eda43, 0x39ba9125, 0x246a308f, 0x39bffcd7,
-  0x247587eb, 0x39c5664f, 0x2480e057, 0x39cacd8d,
-  0x248c39d3, 0x39d03291, 0x2497945d, 0x39d5955a,
-  0x24a2eff6, 0x39daf5e8, 0x24ae4c9d, 0x39e0543c,
-  0x24b9aa52, 0x39e5b054, 0x24c50914, 0x39eb0a31,
-  0x24d068e2, 0x39f061d2, 0x24dbc9bd, 0x39f5b737,
-  0x24e72ba4, 0x39fb0a60, 0x24f28e96, 0x3a005b4d,
-  0x24fdf294, 0x3a05a9fd, 0x2509579b, 0x3a0af671,
-  0x2514bdad, 0x3a1040a8, 0x252024c9, 0x3a1588a2,
-  0x252b8cee, 0x3a1ace5f, 0x2536f61b, 0x3a2011de,
-  0x25426051, 0x3a25531f, 0x254dcb8f, 0x3a2a9223,
-  0x255937d5, 0x3a2fcee8, 0x2564a521, 0x3a350970,
-  0x25701374, 0x3a3a41b9, 0x257b82cd, 0x3a3f77c3,
-  0x2586f32c, 0x3a44ab8e, 0x25926490, 0x3a49dd1a,
-  0x259dd6f9, 0x3a4f0c67, 0x25a94a67, 0x3a543974,
-  0x25b4bed8, 0x3a596442, 0x25c0344d, 0x3a5e8cd0,
-  0x25cbaac5, 0x3a63b31d, 0x25d72240, 0x3a68d72b,
-  0x25e29abc, 0x3a6df8f8, 0x25ee143b, 0x3a731884,
-  0x25f98ebb, 0x3a7835cf, 0x26050a3b, 0x3a7d50da,
-  0x261086bc, 0x3a8269a3, 0x261c043d, 0x3a87802a,
-  0x262782be, 0x3a8c9470, 0x2633023e, 0x3a91a674,
-  0x263e82bc, 0x3a96b636, 0x264a0438, 0x3a9bc3b6,
-  0x265586b3, 0x3aa0cef3, 0x26610a2a, 0x3aa5d7ee,
-  0x266c8e9f, 0x3aaadea6, 0x26781410, 0x3aafe31b,
-  0x26839a7c, 0x3ab4e54c, 0x268f21e5, 0x3ab9e53a,
-  0x269aaa48, 0x3abee2e5, 0x26a633a6, 0x3ac3de4c,
-  0x26b1bdff, 0x3ac8d76f, 0x26bd4951, 0x3acdce4d,
-  0x26c8d59c, 0x3ad2c2e8, 0x26d462e1, 0x3ad7b53d,
-  0x26dff11d, 0x3adca54e, 0x26eb8052, 0x3ae1931a,
-  0x26f7107e, 0x3ae67ea1, 0x2702a1a1, 0x3aeb67e3,
-  0x270e33bb, 0x3af04edf, 0x2719c6cb, 0x3af53395,
-  0x27255ad1, 0x3afa1605, 0x2730efcc, 0x3afef630,
-  0x273c85bc, 0x3b03d414, 0x27481ca1, 0x3b08afb2,
-  0x2753b479, 0x3b0d8909, 0x275f4d45, 0x3b126019,
-  0x276ae704, 0x3b1734e2, 0x277681b6, 0x3b1c0764,
-  0x27821d59, 0x3b20d79e, 0x278db9ef, 0x3b25a591,
-  0x27995776, 0x3b2a713d, 0x27a4f5ed, 0x3b2f3aa0,
-  0x27b09555, 0x3b3401bb, 0x27bc35ad, 0x3b38c68e,
-  0x27c7d6f4, 0x3b3d8918, 0x27d3792b, 0x3b42495a,
-  0x27df1c50, 0x3b470753, 0x27eac063, 0x3b4bc303,
-  0x27f66564, 0x3b507c69, 0x28020b52, 0x3b553386,
-  0x280db22d, 0x3b59e85a, 0x281959f4, 0x3b5e9ae4,
-  0x282502a7, 0x3b634b23, 0x2830ac45, 0x3b67f919,
-  0x283c56cf, 0x3b6ca4c4, 0x28480243, 0x3b714e25,
-  0x2853aea1, 0x3b75f53c, 0x285f5be9, 0x3b7a9a07,
-  0x286b0a1a, 0x3b7f3c87, 0x2876b934, 0x3b83dcbc,
-  0x28826936, 0x3b887aa6, 0x288e1a20, 0x3b8d1644,
-  0x2899cbf1, 0x3b91af97, 0x28a57ea9, 0x3b96469d,
-  0x28b13248, 0x3b9adb57, 0x28bce6cd, 0x3b9f6dc5,
-  0x28c89c37, 0x3ba3fde7, 0x28d45286, 0x3ba88bbc,
-  0x28e009ba, 0x3bad1744, 0x28ebc1d3, 0x3bb1a080,
-  0x28f77acf, 0x3bb6276e, 0x290334af, 0x3bbaac0e,
-  0x290eef71, 0x3bbf2e62, 0x291aab16, 0x3bc3ae67,
-  0x2926679c, 0x3bc82c1f, 0x29322505, 0x3bcca789,
-  0x293de34e, 0x3bd120a4, 0x2949a278, 0x3bd59771,
-  0x29556282, 0x3bda0bf0, 0x2961236c, 0x3bde7e20,
-  0x296ce535, 0x3be2ee01, 0x2978a7dd, 0x3be75b93,
-  0x29846b63, 0x3bebc6d5, 0x29902fc7, 0x3bf02fc9,
-  0x299bf509, 0x3bf4966c, 0x29a7bb28, 0x3bf8fac0,
-  0x29b38223, 0x3bfd5cc4, 0x29bf49fa, 0x3c01bc78,
-  0x29cb12ad, 0x3c0619dc, 0x29d6dc3b, 0x3c0a74f0,
-  0x29e2a6a3, 0x3c0ecdb2, 0x29ee71e6, 0x3c132424,
-  0x29fa3e03, 0x3c177845, 0x2a060af9, 0x3c1bca16,
-  0x2a11d8c8, 0x3c201994, 0x2a1da770, 0x3c2466c2,
-  0x2a2976ef, 0x3c28b19e, 0x2a354746, 0x3c2cfa28,
-  0x2a411874, 0x3c314060, 0x2a4cea79, 0x3c358446,
-  0x2a58bd54, 0x3c39c5da, 0x2a649105, 0x3c3e051b,
-  0x2a70658a, 0x3c42420a, 0x2a7c3ae5, 0x3c467ca6,
-  0x2a881114, 0x3c4ab4ef, 0x2a93e817, 0x3c4eeae5,
-  0x2a9fbfed, 0x3c531e88, 0x2aab9896, 0x3c574fd8,
-  0x2ab77212, 0x3c5b7ed4, 0x2ac34c60, 0x3c5fab7c,
-  0x2acf277f, 0x3c63d5d1, 0x2adb0370, 0x3c67fdd1,
-  0x2ae6e031, 0x3c6c237e, 0x2af2bdc3, 0x3c7046d6,
-  0x2afe9c24, 0x3c7467d9, 0x2b0a7b54, 0x3c788688,
-  0x2b165b54, 0x3c7ca2e2, 0x2b223c22, 0x3c80bce7,
-  0x2b2e1dbe, 0x3c84d496, 0x2b3a0027, 0x3c88e9f1,
-  0x2b45e35d, 0x3c8cfcf6, 0x2b51c760, 0x3c910da5,
-  0x2b5dac2f, 0x3c951bff, 0x2b6991ca, 0x3c992803,
-  0x2b75782f, 0x3c9d31b0, 0x2b815f60, 0x3ca13908,
-  0x2b8d475b, 0x3ca53e09, 0x2b99301f, 0x3ca940b3,
-  0x2ba519ad, 0x3cad4107, 0x2bb10404, 0x3cb13f04,
-  0x2bbcef23, 0x3cb53aaa, 0x2bc8db0b, 0x3cb933f9,
-  0x2bd4c7ba, 0x3cbd2af0, 0x2be0b52f, 0x3cc11f90,
-  0x2beca36c, 0x3cc511d9, 0x2bf8926f, 0x3cc901c9,
-  0x2c048237, 0x3cccef62, 0x2c1072c4, 0x3cd0daa2,
-  0x2c1c6417, 0x3cd4c38b, 0x2c28562d, 0x3cd8aa1b,
-  0x2c344908, 0x3cdc8e52, 0x2c403ca5, 0x3ce07031,
-  0x2c4c3106, 0x3ce44fb7, 0x2c582629, 0x3ce82ce4,
-  0x2c641c0e, 0x3cec07b8, 0x2c7012b5, 0x3cefe032,
-  0x2c7c0a1d, 0x3cf3b653, 0x2c880245, 0x3cf78a1b,
-  0x2c93fb2e, 0x3cfb5b89, 0x2c9ff4d6, 0x3cff2a9d,
-  0x2cabef3d, 0x3d02f757, 0x2cb7ea63, 0x3d06c1b6,
-  0x2cc3e648, 0x3d0a89bc, 0x2ccfe2ea, 0x3d0e4f67,
-  0x2cdbe04a, 0x3d1212b7, 0x2ce7de66, 0x3d15d3ad,
-  0x2cf3dd3f, 0x3d199248, 0x2cffdcd4, 0x3d1d4e88,
-  0x2d0bdd25, 0x3d21086c, 0x2d17de31, 0x3d24bff6,
-  0x2d23dff7, 0x3d287523, 0x2d2fe277, 0x3d2c27f6,
-  0x2d3be5b1, 0x3d2fd86c, 0x2d47e9a5, 0x3d338687,
-  0x2d53ee51, 0x3d373245, 0x2d5ff3b5, 0x3d3adba7,
-  0x2d6bf9d1, 0x3d3e82ae, 0x2d7800a5, 0x3d422757,
-  0x2d84082f, 0x3d45c9a4, 0x2d901070, 0x3d496994,
-  0x2d9c1967, 0x3d4d0728, 0x2da82313, 0x3d50a25e,
-  0x2db42d74, 0x3d543b37, 0x2dc0388a, 0x3d57d1b3,
-  0x2dcc4454, 0x3d5b65d2, 0x2dd850d2, 0x3d5ef793,
-  0x2de45e03, 0x3d6286f6, 0x2df06be6, 0x3d6613fb,
-  0x2dfc7a7c, 0x3d699ea3, 0x2e0889c4, 0x3d6d26ec,
-  0x2e1499bd, 0x3d70acd7, 0x2e20aa67, 0x3d743064,
-  0x2e2cbbc1, 0x3d77b192, 0x2e38cdcb, 0x3d7b3061,
-  0x2e44e084, 0x3d7eacd2, 0x2e50f3ed, 0x3d8226e4,
-  0x2e5d0804, 0x3d859e96, 0x2e691cc9, 0x3d8913ea,
-  0x2e75323c, 0x3d8c86de, 0x2e81485c, 0x3d8ff772,
-  0x2e8d5f29, 0x3d9365a8, 0x2e9976a1, 0x3d96d17d,
-  0x2ea58ec6, 0x3d9a3af2, 0x2eb1a796, 0x3d9da208,
-  0x2ebdc110, 0x3da106bd, 0x2ec9db35, 0x3da46912,
-  0x2ed5f604, 0x3da7c907, 0x2ee2117c, 0x3dab269b,
-  0x2eee2d9d, 0x3dae81cf, 0x2efa4a67, 0x3db1daa2,
-  0x2f0667d9, 0x3db53113, 0x2f1285f2, 0x3db88524,
-  0x2f1ea4b2, 0x3dbbd6d4, 0x2f2ac419, 0x3dbf2622,
-  0x2f36e426, 0x3dc2730f, 0x2f4304d8, 0x3dc5bd9b,
-  0x2f4f2630, 0x3dc905c5, 0x2f5b482d, 0x3dcc4b8d,
-  0x2f676ace, 0x3dcf8ef3, 0x2f738e12, 0x3dd2cff7,
-  0x2f7fb1fa, 0x3dd60e99, 0x2f8bd685, 0x3dd94ad8,
-  0x2f97fbb2, 0x3ddc84b5, 0x2fa42181, 0x3ddfbc30,
-  0x2fb047f2, 0x3de2f148, 0x2fbc6f03, 0x3de623fd,
-  0x2fc896b5, 0x3de9544f, 0x2fd4bf08, 0x3dec823e,
-  0x2fe0e7f9, 0x3defadca, 0x2fed118a, 0x3df2d6f3,
-  0x2ff93bba, 0x3df5fdb8, 0x30056687, 0x3df9221a,
-  0x301191f3, 0x3dfc4418, 0x301dbdfb, 0x3dff63b2,
-  0x3029eaa1, 0x3e0280e9, 0x303617e2, 0x3e059bbb,
-  0x304245c0, 0x3e08b42a, 0x304e7438, 0x3e0bca34,
-  0x305aa34c, 0x3e0eddd9, 0x3066d2fa, 0x3e11ef1b,
-  0x30730342, 0x3e14fdf7, 0x307f3424, 0x3e180a6f,
-  0x308b659f, 0x3e1b1482, 0x309797b2, 0x3e1e1c30,
-  0x30a3ca5d, 0x3e212179, 0x30affda0, 0x3e24245d,
-  0x30bc317a, 0x3e2724db, 0x30c865ea, 0x3e2a22f4,
-  0x30d49af1, 0x3e2d1ea8, 0x30e0d08d, 0x3e3017f6,
-  0x30ed06bf, 0x3e330ede, 0x30f93d86, 0x3e360360,
-  0x310574e0, 0x3e38f57c, 0x3111accf, 0x3e3be532,
-  0x311de551, 0x3e3ed282, 0x312a1e66, 0x3e41bd6c,
-  0x3136580d, 0x3e44a5ef, 0x31429247, 0x3e478c0b,
-  0x314ecd11, 0x3e4a6fc1, 0x315b086d, 0x3e4d5110,
-  0x31674459, 0x3e502ff9, 0x317380d6, 0x3e530c7a,
-  0x317fbde2, 0x3e55e694, 0x318bfb7d, 0x3e58be47,
-  0x319839a6, 0x3e5b9392, 0x31a4785e, 0x3e5e6676,
-  0x31b0b7a4, 0x3e6136f3, 0x31bcf777, 0x3e640507,
-  0x31c937d6, 0x3e66d0b4, 0x31d578c2, 0x3e6999fa,
-  0x31e1ba3a, 0x3e6c60d7, 0x31edfc3d, 0x3e6f254c,
-  0x31fa3ecb, 0x3e71e759, 0x320681e3, 0x3e74a6fd,
-  0x3212c585, 0x3e77643a, 0x321f09b1, 0x3e7a1f0d,
-  0x322b4e66, 0x3e7cd778, 0x323793a3, 0x3e7f8d7b,
-  0x3243d968, 0x3e824114, 0x32501fb5, 0x3e84f245,
-  0x325c6688, 0x3e87a10c, 0x3268ade3, 0x3e8a4d6a,
-  0x3274f5c3, 0x3e8cf75f, 0x32813e2a, 0x3e8f9eeb,
-  0x328d8715, 0x3e92440d, 0x3299d085, 0x3e94e6c6,
-  0x32a61a7a, 0x3e978715, 0x32b264f2, 0x3e9a24fb,
-  0x32beafed, 0x3e9cc076, 0x32cafb6b, 0x3e9f5988,
-  0x32d7476c, 0x3ea1f02f, 0x32e393ef, 0x3ea4846c,
-  0x32efe0f2, 0x3ea7163f, 0x32fc2e77, 0x3ea9a5a8,
-  0x33087c7d, 0x3eac32a6, 0x3314cb02, 0x3eaebd3a,
-  0x33211a07, 0x3eb14563, 0x332d698a, 0x3eb3cb21,
-  0x3339b98d, 0x3eb64e75, 0x33460a0d, 0x3eb8cf5d,
-  0x33525b0b, 0x3ebb4ddb, 0x335eac86, 0x3ebdc9ed,
-  0x336afe7e, 0x3ec04394, 0x337750f2, 0x3ec2bad0,
-  0x3383a3e2, 0x3ec52fa0, 0x338ff74d, 0x3ec7a205,
-  0x339c4b32, 0x3eca11fe, 0x33a89f92, 0x3ecc7f8b,
-  0x33b4f46c, 0x3eceeaad, 0x33c149bf, 0x3ed15363,
-  0x33cd9f8b, 0x3ed3b9ad, 0x33d9f5cf, 0x3ed61d8a,
-  0x33e64c8c, 0x3ed87efc, 0x33f2a3bf, 0x3edade01,
-  0x33fefb6a, 0x3edd3a9a, 0x340b538b, 0x3edf94c7,
-  0x3417ac22, 0x3ee1ec87, 0x3424052f, 0x3ee441da,
-  0x34305eb0, 0x3ee694c1, 0x343cb8a7, 0x3ee8e53a,
-  0x34491311, 0x3eeb3347, 0x34556def, 0x3eed7ee7,
-  0x3461c940, 0x3eefc81a, 0x346e2504, 0x3ef20ee0,
-  0x347a8139, 0x3ef45338, 0x3486dde1, 0x3ef69523,
-  0x34933afa, 0x3ef8d4a1, 0x349f9884, 0x3efb11b1,
-  0x34abf67e, 0x3efd4c54, 0x34b854e7, 0x3eff8489,
-  0x34c4b3c0, 0x3f01ba50, 0x34d11308, 0x3f03eda9,
-  0x34dd72be, 0x3f061e95, 0x34e9d2e3, 0x3f084d12,
-  0x34f63374, 0x3f0a7921, 0x35029473, 0x3f0ca2c2,
-  0x350ef5de, 0x3f0ec9f5, 0x351b57b5, 0x3f10eeb9,
-  0x3527b9f7, 0x3f13110f, 0x35341ca5, 0x3f1530f7,
-  0x35407fbd, 0x3f174e70, 0x354ce33f, 0x3f19697a,
-  0x3559472b, 0x3f1b8215, 0x3565ab80, 0x3f1d9842,
-  0x3572103d, 0x3f1fabff, 0x357e7563, 0x3f21bd4e,
-  0x358adaf0, 0x3f23cc2e, 0x359740e5, 0x3f25d89e,
-  0x35a3a740, 0x3f27e29f, 0x35b00e02, 0x3f29ea31,
-  0x35bc7529, 0x3f2bef53, 0x35c8dcb6, 0x3f2df206,
-  0x35d544a7, 0x3f2ff24a, 0x35e1acfd, 0x3f31f01d,
-  0x35ee15b7, 0x3f33eb81, 0x35fa7ed4, 0x3f35e476,
-  0x3606e854, 0x3f37dafa, 0x36135237, 0x3f39cf0e,
-  0x361fbc7b, 0x3f3bc0b3, 0x362c2721, 0x3f3dafe7,
-  0x36389228, 0x3f3f9cab, 0x3644fd8f, 0x3f4186ff,
-  0x36516956, 0x3f436ee3, 0x365dd57d, 0x3f455456,
-  0x366a4203, 0x3f473759, 0x3676aee8, 0x3f4917eb,
-  0x36831c2b, 0x3f4af60d, 0x368f89cb, 0x3f4cd1be,
-  0x369bf7c9, 0x3f4eaafe, 0x36a86623, 0x3f5081cd,
-  0x36b4d4d9, 0x3f52562c, 0x36c143ec, 0x3f54281a,
-  0x36cdb359, 0x3f55f796, 0x36da2321, 0x3f57c4a2,
-  0x36e69344, 0x3f598f3c, 0x36f303c0, 0x3f5b5765,
-  0x36ff7496, 0x3f5d1d1d, 0x370be5c4, 0x3f5ee063,
-  0x3718574b, 0x3f60a138, 0x3724c92a, 0x3f625f9b,
-  0x37313b60, 0x3f641b8d, 0x373daded, 0x3f65d50d,
-  0x374a20d0, 0x3f678c1c, 0x3756940a, 0x3f6940b8,
-  0x37630799, 0x3f6af2e3, 0x376f7b7d, 0x3f6ca29c,
-  0x377befb5, 0x3f6e4fe3, 0x37886442, 0x3f6ffab8,
-  0x3794d922, 0x3f71a31b, 0x37a14e55, 0x3f73490b,
-  0x37adc3db, 0x3f74ec8a, 0x37ba39b3, 0x3f768d96,
-  0x37c6afdc, 0x3f782c30, 0x37d32657, 0x3f79c857,
-  0x37df9d22, 0x3f7b620c, 0x37ec143e, 0x3f7cf94e,
-  0x37f88ba9, 0x3f7e8e1e, 0x38050364, 0x3f80207b,
-  0x38117b6d, 0x3f81b065, 0x381df3c5, 0x3f833ddd,
-  0x382a6c6a, 0x3f84c8e2, 0x3836e55d, 0x3f865174,
-  0x38435e9d, 0x3f87d792, 0x384fd829, 0x3f895b3e,
-  0x385c5201, 0x3f8adc77, 0x3868cc24, 0x3f8c5b3d,
-  0x38754692, 0x3f8dd78f, 0x3881c14b, 0x3f8f516e,
-  0x388e3c4d, 0x3f90c8da, 0x389ab799, 0x3f923dd2,
-  0x38a7332e, 0x3f93b058, 0x38b3af0c, 0x3f952069,
-  0x38c02b31, 0x3f968e07, 0x38cca79e, 0x3f97f932,
-  0x38d92452, 0x3f9961e8, 0x38e5a14d, 0x3f9ac82c,
-  0x38f21e8e, 0x3f9c2bfb, 0x38fe9c15, 0x3f9d8d56,
-  0x390b19e0, 0x3f9eec3e, 0x391797f0, 0x3fa048b2,
-  0x39241645, 0x3fa1a2b2, 0x393094dd, 0x3fa2fa3d,
-  0x393d13b8, 0x3fa44f55, 0x394992d7, 0x3fa5a1f9,
-  0x39561237, 0x3fa6f228, 0x396291d9, 0x3fa83fe3,
-  0x396f11bc, 0x3fa98b2a, 0x397b91e1, 0x3faad3fd,
-  0x39881245, 0x3fac1a5b, 0x399492ea, 0x3fad5e45,
-  0x39a113cd, 0x3fae9fbb, 0x39ad94f0, 0x3fafdebb,
-  0x39ba1651, 0x3fb11b48, 0x39c697f0, 0x3fb2555f,
-  0x39d319cc, 0x3fb38d02, 0x39df9be6, 0x3fb4c231,
-  0x39ec1e3b, 0x3fb5f4ea, 0x39f8a0cd, 0x3fb7252f,
-  0x3a05239a, 0x3fb852ff, 0x3a11a6a3, 0x3fb97e5a,
-  0x3a1e29e5, 0x3fbaa740, 0x3a2aad62, 0x3fbbcdb1,
-  0x3a373119, 0x3fbcf1ad, 0x3a43b508, 0x3fbe1334,
-  0x3a503930, 0x3fbf3246, 0x3a5cbd91, 0x3fc04ee3,
-  0x3a694229, 0x3fc1690a, 0x3a75c6f8, 0x3fc280bc,
-  0x3a824bfd, 0x3fc395f9, 0x3a8ed139, 0x3fc4a8c1,
-  0x3a9b56ab, 0x3fc5b913, 0x3aa7dc52, 0x3fc6c6f0,
-  0x3ab4622d, 0x3fc7d258, 0x3ac0e83d, 0x3fc8db4a,
-  0x3acd6e81, 0x3fc9e1c6, 0x3ad9f4f8, 0x3fcae5cd,
-  0x3ae67ba2, 0x3fcbe75e, 0x3af3027e, 0x3fcce67a,
-  0x3aff898c, 0x3fcde320, 0x3b0c10cb, 0x3fcedd50,
-  0x3b18983b, 0x3fcfd50b, 0x3b251fdc, 0x3fd0ca4f,
-  0x3b31a7ac, 0x3fd1bd1e, 0x3b3e2fac, 0x3fd2ad77,
-  0x3b4ab7db, 0x3fd39b5a, 0x3b574039, 0x3fd486c7,
-  0x3b63c8c4, 0x3fd56fbe, 0x3b70517d, 0x3fd6563f,
-  0x3b7cda63, 0x3fd73a4a, 0x3b896375, 0x3fd81bdf,
-  0x3b95ecb4, 0x3fd8fafe, 0x3ba2761e, 0x3fd9d7a7,
-  0x3baeffb3, 0x3fdab1d9, 0x3bbb8973, 0x3fdb8996,
-  0x3bc8135c, 0x3fdc5edc, 0x3bd49d70, 0x3fdd31ac,
-  0x3be127ac, 0x3fde0205, 0x3bedb212, 0x3fdecfe8,
-  0x3bfa3c9f, 0x3fdf9b55, 0x3c06c754, 0x3fe0644b,
-  0x3c135231, 0x3fe12acb, 0x3c1fdd34, 0x3fe1eed5,
-  0x3c2c685d, 0x3fe2b067, 0x3c38f3ac, 0x3fe36f84,
-  0x3c457f21, 0x3fe42c2a, 0x3c520aba, 0x3fe4e659,
-  0x3c5e9678, 0x3fe59e12, 0x3c6b2259, 0x3fe65354,
-  0x3c77ae5e, 0x3fe7061f, 0x3c843a85, 0x3fe7b674,
-  0x3c90c6cf, 0x3fe86452, 0x3c9d533b, 0x3fe90fb9,
-  0x3ca9dfc8, 0x3fe9b8a9, 0x3cb66c77, 0x3fea5f23,
-  0x3cc2f945, 0x3feb0326, 0x3ccf8634, 0x3feba4b2,
-  0x3cdc1342, 0x3fec43c7, 0x3ce8a06f, 0x3fece065,
-  0x3cf52dbb, 0x3fed7a8c, 0x3d01bb24, 0x3fee123d,
-  0x3d0e48ab, 0x3feea776, 0x3d1ad650, 0x3fef3a39,
-  0x3d276410, 0x3fefca84, 0x3d33f1ed, 0x3ff05858,
-  0x3d407fe6, 0x3ff0e3b6, 0x3d4d0df9, 0x3ff16c9c,
-  0x3d599c28, 0x3ff1f30b, 0x3d662a70, 0x3ff27703,
-  0x3d72b8d2, 0x3ff2f884, 0x3d7f474d, 0x3ff3778e,
-  0x3d8bd5e1, 0x3ff3f420, 0x3d98648d, 0x3ff46e3c,
-  0x3da4f351, 0x3ff4e5e0, 0x3db1822c, 0x3ff55b0d,
-  0x3dbe111e, 0x3ff5cdc3, 0x3dcaa027, 0x3ff63e01,
-  0x3dd72f45, 0x3ff6abc8, 0x3de3be78, 0x3ff71718,
-  0x3df04dc0, 0x3ff77ff1, 0x3dfcdd1d, 0x3ff7e652,
-  0x3e096c8d, 0x3ff84a3c, 0x3e15fc11, 0x3ff8abae,
-  0x3e228ba7, 0x3ff90aaa, 0x3e2f1b50, 0x3ff9672d,
-  0x3e3bab0b, 0x3ff9c13a, 0x3e483ad8, 0x3ffa18cf,
-  0x3e54cab5, 0x3ffa6dec, 0x3e615aa3, 0x3ffac092,
-  0x3e6deaa1, 0x3ffb10c1, 0x3e7a7aae, 0x3ffb5e78,
-  0x3e870aca, 0x3ffba9b8, 0x3e939af5, 0x3ffbf280,
-  0x3ea02b2e, 0x3ffc38d1, 0x3eacbb74, 0x3ffc7caa,
-  0x3eb94bc8, 0x3ffcbe0c, 0x3ec5dc28, 0x3ffcfcf6,
-  0x3ed26c94, 0x3ffd3969, 0x3edefd0c, 0x3ffd7364,
-  0x3eeb8d8f, 0x3ffdaae7, 0x3ef81e1d, 0x3ffddff3,
-  0x3f04aeb5, 0x3ffe1288, 0x3f113f56, 0x3ffe42a4,
-  0x3f1dd001, 0x3ffe704a, 0x3f2a60b4, 0x3ffe9b77,
-  0x3f36f170, 0x3ffec42d, 0x3f438234, 0x3ffeea6c,
-  0x3f5012fe, 0x3fff0e32, 0x3f5ca3d0, 0x3fff2f82,
-  0x3f6934a8, 0x3fff4e59, 0x3f75c585, 0x3fff6ab9,
-  0x3f825668, 0x3fff84a1, 0x3f8ee750, 0x3fff9c12,
-  0x3f9b783c, 0x3fffb10b, 0x3fa8092c, 0x3fffc38c,
-  0x3fb49a1f, 0x3fffd396, 0x3fc12b16, 0x3fffe128,
-  0x3fcdbc0f, 0x3fffec43, 0x3fda4d09, 0x3ffff4e6,
-  0x3fe6de05, 0x3ffffb11, 0x3ff36f02, 0x3ffffec4,
-};
-
-
-/**    
-* \par   
-* Generation of realCoefBQ31 array:    
-* \par    
-*  n = 4096        
-* 
for (i = 0; i < n; i++)    
-* {    
-*    pBTable[2 * i] = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));    
-*    pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));    
-* } 
    
-* \par    
-* Convert to fixed point Q31 format    
-*     round(pBTable[i] * pow(2, 31))    
-*    
-*/
-
-static const q31_t realCoefBQ31[8192] = {
-  0x40000000, 0x40000000, 0x400c90fe, 0x3ffffec4,
-  0x401921fb, 0x3ffffb11, 0x4025b2f7, 0x3ffff4e6,
-  0x403243f1, 0x3fffec43, 0x403ed4ea, 0x3fffe128,
-  0x404b65e1, 0x3fffd396, 0x4057f6d4, 0x3fffc38c,
-  0x406487c4, 0x3fffb10b, 0x407118b0, 0x3fff9c12,
-  0x407da998, 0x3fff84a1, 0x408a3a7b, 0x3fff6ab9,
-  0x4096cb58, 0x3fff4e59, 0x40a35c30, 0x3fff2f82,
-  0x40afed02, 0x3fff0e32, 0x40bc7dcc, 0x3ffeea6c,
-  0x40c90e90, 0x3ffec42d, 0x40d59f4c, 0x3ffe9b77,
-  0x40e22fff, 0x3ffe704a, 0x40eec0aa, 0x3ffe42a4,
-  0x40fb514b, 0x3ffe1288, 0x4107e1e3, 0x3ffddff3,
-  0x41147271, 0x3ffdaae7, 0x412102f4, 0x3ffd7364,
-  0x412d936c, 0x3ffd3969, 0x413a23d8, 0x3ffcfcf6,
-  0x4146b438, 0x3ffcbe0c, 0x4153448c, 0x3ffc7caa,
-  0x415fd4d2, 0x3ffc38d1, 0x416c650b, 0x3ffbf280,
-  0x4178f536, 0x3ffba9b8, 0x41858552, 0x3ffb5e78,
-  0x4192155f, 0x3ffb10c1, 0x419ea55d, 0x3ffac092,
-  0x41ab354b, 0x3ffa6dec, 0x41b7c528, 0x3ffa18cf,
-  0x41c454f5, 0x3ff9c13a, 0x41d0e4b0, 0x3ff9672d,
-  0x41dd7459, 0x3ff90aaa, 0x41ea03ef, 0x3ff8abae,
-  0x41f69373, 0x3ff84a3c, 0x420322e3, 0x3ff7e652,
-  0x420fb240, 0x3ff77ff1, 0x421c4188, 0x3ff71718,
-  0x4228d0bb, 0x3ff6abc8, 0x42355fd9, 0x3ff63e01,
-  0x4241eee2, 0x3ff5cdc3, 0x424e7dd4, 0x3ff55b0d,
-  0x425b0caf, 0x3ff4e5e0, 0x42679b73, 0x3ff46e3c,
-  0x42742a1f, 0x3ff3f420, 0x4280b8b3, 0x3ff3778e,
-  0x428d472e, 0x3ff2f884, 0x4299d590, 0x3ff27703,
-  0x42a663d8, 0x3ff1f30b, 0x42b2f207, 0x3ff16c9c,
-  0x42bf801a, 0x3ff0e3b6, 0x42cc0e13, 0x3ff05858,
-  0x42d89bf0, 0x3fefca84, 0x42e529b0, 0x3fef3a39,
-  0x42f1b755, 0x3feea776, 0x42fe44dc, 0x3fee123d,
-  0x430ad245, 0x3fed7a8c, 0x43175f91, 0x3fece065,
-  0x4323ecbe, 0x3fec43c7, 0x433079cc, 0x3feba4b2,
-  0x433d06bb, 0x3feb0326, 0x43499389, 0x3fea5f23,
-  0x43562038, 0x3fe9b8a9, 0x4362acc5, 0x3fe90fb9,
-  0x436f3931, 0x3fe86452, 0x437bc57b, 0x3fe7b674,
-  0x438851a2, 0x3fe7061f, 0x4394dda7, 0x3fe65354,
-  0x43a16988, 0x3fe59e12, 0x43adf546, 0x3fe4e659,
-  0x43ba80df, 0x3fe42c2a, 0x43c70c54, 0x3fe36f84,
-  0x43d397a3, 0x3fe2b067, 0x43e022cc, 0x3fe1eed5,
-  0x43ecadcf, 0x3fe12acb, 0x43f938ac, 0x3fe0644b,
-  0x4405c361, 0x3fdf9b55, 0x44124dee, 0x3fdecfe8,
-  0x441ed854, 0x3fde0205, 0x442b6290, 0x3fdd31ac,
-  0x4437eca4, 0x3fdc5edc, 0x4444768d, 0x3fdb8996,
-  0x4451004d, 0x3fdab1d9, 0x445d89e2, 0x3fd9d7a7,
-  0x446a134c, 0x3fd8fafe, 0x44769c8b, 0x3fd81bdf,
-  0x4483259d, 0x3fd73a4a, 0x448fae83, 0x3fd6563f,
-  0x449c373c, 0x3fd56fbe, 0x44a8bfc7, 0x3fd486c7,
-  0x44b54825, 0x3fd39b5a, 0x44c1d054, 0x3fd2ad77,
-  0x44ce5854, 0x3fd1bd1e, 0x44dae024, 0x3fd0ca4f,
-  0x44e767c5, 0x3fcfd50b, 0x44f3ef35, 0x3fcedd50,
-  0x45007674, 0x3fcde320, 0x450cfd82, 0x3fcce67a,
-  0x4519845e, 0x3fcbe75e, 0x45260b08, 0x3fcae5cd,
-  0x4532917f, 0x3fc9e1c6, 0x453f17c3, 0x3fc8db4a,
-  0x454b9dd3, 0x3fc7d258, 0x455823ae, 0x3fc6c6f0,
-  0x4564a955, 0x3fc5b913, 0x45712ec7, 0x3fc4a8c1,
-  0x457db403, 0x3fc395f9, 0x458a3908, 0x3fc280bc,
-  0x4596bdd7, 0x3fc1690a, 0x45a3426f, 0x3fc04ee3,
-  0x45afc6d0, 0x3fbf3246, 0x45bc4af8, 0x3fbe1334,
-  0x45c8cee7, 0x3fbcf1ad, 0x45d5529e, 0x3fbbcdb1,
-  0x45e1d61b, 0x3fbaa740, 0x45ee595d, 0x3fb97e5a,
-  0x45fadc66, 0x3fb852ff, 0x46075f33, 0x3fb7252f,
-  0x4613e1c5, 0x3fb5f4ea, 0x4620641a, 0x3fb4c231,
-  0x462ce634, 0x3fb38d02, 0x46396810, 0x3fb2555f,
-  0x4645e9af, 0x3fb11b48, 0x46526b10, 0x3fafdebb,
-  0x465eec33, 0x3fae9fbb, 0x466b6d16, 0x3fad5e45,
-  0x4677edbb, 0x3fac1a5b, 0x46846e1f, 0x3faad3fd,
-  0x4690ee44, 0x3fa98b2a, 0x469d6e27, 0x3fa83fe3,
-  0x46a9edc9, 0x3fa6f228, 0x46b66d29, 0x3fa5a1f9,
-  0x46c2ec48, 0x3fa44f55, 0x46cf6b23, 0x3fa2fa3d,
-  0x46dbe9bb, 0x3fa1a2b2, 0x46e86810, 0x3fa048b2,
-  0x46f4e620, 0x3f9eec3e, 0x470163eb, 0x3f9d8d56,
-  0x470de172, 0x3f9c2bfb, 0x471a5eb3, 0x3f9ac82c,
-  0x4726dbae, 0x3f9961e8, 0x47335862, 0x3f97f932,
-  0x473fd4cf, 0x3f968e07, 0x474c50f4, 0x3f952069,
-  0x4758ccd2, 0x3f93b058, 0x47654867, 0x3f923dd2,
-  0x4771c3b3, 0x3f90c8da, 0x477e3eb5, 0x3f8f516e,
-  0x478ab96e, 0x3f8dd78f, 0x479733dc, 0x3f8c5b3d,
-  0x47a3adff, 0x3f8adc77, 0x47b027d7, 0x3f895b3e,
-  0x47bca163, 0x3f87d792, 0x47c91aa3, 0x3f865174,
-  0x47d59396, 0x3f84c8e2, 0x47e20c3b, 0x3f833ddd,
-  0x47ee8493, 0x3f81b065, 0x47fafc9c, 0x3f80207b,
-  0x48077457, 0x3f7e8e1e, 0x4813ebc2, 0x3f7cf94e,
-  0x482062de, 0x3f7b620c, 0x482cd9a9, 0x3f79c857,
-  0x48395024, 0x3f782c30, 0x4845c64d, 0x3f768d96,
-  0x48523c25, 0x3f74ec8a, 0x485eb1ab, 0x3f73490b,
-  0x486b26de, 0x3f71a31b, 0x48779bbe, 0x3f6ffab8,
-  0x4884104b, 0x3f6e4fe3, 0x48908483, 0x3f6ca29c,
-  0x489cf867, 0x3f6af2e3, 0x48a96bf6, 0x3f6940b8,
-  0x48b5df30, 0x3f678c1c, 0x48c25213, 0x3f65d50d,
-  0x48cec4a0, 0x3f641b8d, 0x48db36d6, 0x3f625f9b,
-  0x48e7a8b5, 0x3f60a138, 0x48f41a3c, 0x3f5ee063,
-  0x49008b6a, 0x3f5d1d1d, 0x490cfc40, 0x3f5b5765,
-  0x49196cbc, 0x3f598f3c, 0x4925dcdf, 0x3f57c4a2,
-  0x49324ca7, 0x3f55f796, 0x493ebc14, 0x3f54281a,
-  0x494b2b27, 0x3f52562c, 0x495799dd, 0x3f5081cd,
-  0x49640837, 0x3f4eaafe, 0x49707635, 0x3f4cd1be,
-  0x497ce3d5, 0x3f4af60d, 0x49895118, 0x3f4917eb,
-  0x4995bdfd, 0x3f473759, 0x49a22a83, 0x3f455456,
-  0x49ae96aa, 0x3f436ee3, 0x49bb0271, 0x3f4186ff,
-  0x49c76dd8, 0x3f3f9cab, 0x49d3d8df, 0x3f3dafe7,
-  0x49e04385, 0x3f3bc0b3, 0x49ecadc9, 0x3f39cf0e,
-  0x49f917ac, 0x3f37dafa, 0x4a05812c, 0x3f35e476,
-  0x4a11ea49, 0x3f33eb81, 0x4a1e5303, 0x3f31f01d,
-  0x4a2abb59, 0x3f2ff24a, 0x4a37234a, 0x3f2df206,
-  0x4a438ad7, 0x3f2bef53, 0x4a4ff1fe, 0x3f29ea31,
-  0x4a5c58c0, 0x3f27e29f, 0x4a68bf1b, 0x3f25d89e,
-  0x4a752510, 0x3f23cc2e, 0x4a818a9d, 0x3f21bd4e,
-  0x4a8defc3, 0x3f1fabff, 0x4a9a5480, 0x3f1d9842,
-  0x4aa6b8d5, 0x3f1b8215, 0x4ab31cc1, 0x3f19697a,
-  0x4abf8043, 0x3f174e70, 0x4acbe35b, 0x3f1530f7,
-  0x4ad84609, 0x3f13110f, 0x4ae4a84b, 0x3f10eeb9,
-  0x4af10a22, 0x3f0ec9f5, 0x4afd6b8d, 0x3f0ca2c2,
-  0x4b09cc8c, 0x3f0a7921, 0x4b162d1d, 0x3f084d12,
-  0x4b228d42, 0x3f061e95, 0x4b2eecf8, 0x3f03eda9,
-  0x4b3b4c40, 0x3f01ba50, 0x4b47ab19, 0x3eff8489,
-  0x4b540982, 0x3efd4c54, 0x4b60677c, 0x3efb11b1,
-  0x4b6cc506, 0x3ef8d4a1, 0x4b79221f, 0x3ef69523,
-  0x4b857ec7, 0x3ef45338, 0x4b91dafc, 0x3ef20ee0,
-  0x4b9e36c0, 0x3eefc81a, 0x4baa9211, 0x3eed7ee7,
-  0x4bb6ecef, 0x3eeb3347, 0x4bc34759, 0x3ee8e53a,
-  0x4bcfa150, 0x3ee694c1, 0x4bdbfad1, 0x3ee441da,
-  0x4be853de, 0x3ee1ec87, 0x4bf4ac75, 0x3edf94c7,
-  0x4c010496, 0x3edd3a9a, 0x4c0d5c41, 0x3edade01,
-  0x4c19b374, 0x3ed87efc, 0x4c260a31, 0x3ed61d8a,
-  0x4c326075, 0x3ed3b9ad, 0x4c3eb641, 0x3ed15363,
-  0x4c4b0b94, 0x3eceeaad, 0x4c57606e, 0x3ecc7f8b,
-  0x4c63b4ce, 0x3eca11fe, 0x4c7008b3, 0x3ec7a205,
-  0x4c7c5c1e, 0x3ec52fa0, 0x4c88af0e, 0x3ec2bad0,
-  0x4c950182, 0x3ec04394, 0x4ca1537a, 0x3ebdc9ed,
-  0x4cada4f5, 0x3ebb4ddb, 0x4cb9f5f3, 0x3eb8cf5d,
-  0x4cc64673, 0x3eb64e75, 0x4cd29676, 0x3eb3cb21,
-  0x4cdee5f9, 0x3eb14563, 0x4ceb34fe, 0x3eaebd3a,
-  0x4cf78383, 0x3eac32a6, 0x4d03d189, 0x3ea9a5a8,
-  0x4d101f0e, 0x3ea7163f, 0x4d1c6c11, 0x3ea4846c,
-  0x4d28b894, 0x3ea1f02f, 0x4d350495, 0x3e9f5988,
-  0x4d415013, 0x3e9cc076, 0x4d4d9b0e, 0x3e9a24fb,
-  0x4d59e586, 0x3e978715, 0x4d662f7b, 0x3e94e6c6,
-  0x4d7278eb, 0x3e92440d, 0x4d7ec1d6, 0x3e8f9eeb,
-  0x4d8b0a3d, 0x3e8cf75f, 0x4d97521d, 0x3e8a4d6a,
-  0x4da39978, 0x3e87a10c, 0x4dafe04b, 0x3e84f245,
-  0x4dbc2698, 0x3e824114, 0x4dc86c5d, 0x3e7f8d7b,
-  0x4dd4b19a, 0x3e7cd778, 0x4de0f64f, 0x3e7a1f0d,
-  0x4ded3a7b, 0x3e77643a, 0x4df97e1d, 0x3e74a6fd,
-  0x4e05c135, 0x3e71e759, 0x4e1203c3, 0x3e6f254c,
-  0x4e1e45c6, 0x3e6c60d7, 0x4e2a873e, 0x3e6999fa,
-  0x4e36c82a, 0x3e66d0b4, 0x4e430889, 0x3e640507,
-  0x4e4f485c, 0x3e6136f3, 0x4e5b87a2, 0x3e5e6676,
-  0x4e67c65a, 0x3e5b9392, 0x4e740483, 0x3e58be47,
-  0x4e80421e, 0x3e55e694, 0x4e8c7f2a, 0x3e530c7a,
-  0x4e98bba7, 0x3e502ff9, 0x4ea4f793, 0x3e4d5110,
-  0x4eb132ef, 0x3e4a6fc1, 0x4ebd6db9, 0x3e478c0b,
-  0x4ec9a7f3, 0x3e44a5ef, 0x4ed5e19a, 0x3e41bd6c,
-  0x4ee21aaf, 0x3e3ed282, 0x4eee5331, 0x3e3be532,
-  0x4efa8b20, 0x3e38f57c, 0x4f06c27a, 0x3e360360,
-  0x4f12f941, 0x3e330ede, 0x4f1f2f73, 0x3e3017f6,
-  0x4f2b650f, 0x3e2d1ea8, 0x4f379a16, 0x3e2a22f4,
-  0x4f43ce86, 0x3e2724db, 0x4f500260, 0x3e24245d,
-  0x4f5c35a3, 0x3e212179, 0x4f68684e, 0x3e1e1c30,
-  0x4f749a61, 0x3e1b1482, 0x4f80cbdc, 0x3e180a6f,
-  0x4f8cfcbe, 0x3e14fdf7, 0x4f992d06, 0x3e11ef1b,
-  0x4fa55cb4, 0x3e0eddd9, 0x4fb18bc8, 0x3e0bca34,
-  0x4fbdba40, 0x3e08b42a, 0x4fc9e81e, 0x3e059bbb,
-  0x4fd6155f, 0x3e0280e9, 0x4fe24205, 0x3dff63b2,
-  0x4fee6e0d, 0x3dfc4418, 0x4ffa9979, 0x3df9221a,
-  0x5006c446, 0x3df5fdb8, 0x5012ee76, 0x3df2d6f3,
-  0x501f1807, 0x3defadca, 0x502b40f8, 0x3dec823e,
-  0x5037694b, 0x3de9544f, 0x504390fd, 0x3de623fd,
-  0x504fb80e, 0x3de2f148, 0x505bde7f, 0x3ddfbc30,
-  0x5068044e, 0x3ddc84b5, 0x5074297b, 0x3dd94ad8,
-  0x50804e06, 0x3dd60e99, 0x508c71ee, 0x3dd2cff7,
-  0x50989532, 0x3dcf8ef3, 0x50a4b7d3, 0x3dcc4b8d,
-  0x50b0d9d0, 0x3dc905c5, 0x50bcfb28, 0x3dc5bd9b,
-  0x50c91bda, 0x3dc2730f, 0x50d53be7, 0x3dbf2622,
-  0x50e15b4e, 0x3dbbd6d4, 0x50ed7a0e, 0x3db88524,
-  0x50f99827, 0x3db53113, 0x5105b599, 0x3db1daa2,
-  0x5111d263, 0x3dae81cf, 0x511dee84, 0x3dab269b,
-  0x512a09fc, 0x3da7c907, 0x513624cb, 0x3da46912,
-  0x51423ef0, 0x3da106bd, 0x514e586a, 0x3d9da208,
-  0x515a713a, 0x3d9a3af2, 0x5166895f, 0x3d96d17d,
-  0x5172a0d7, 0x3d9365a8, 0x517eb7a4, 0x3d8ff772,
-  0x518acdc4, 0x3d8c86de, 0x5196e337, 0x3d8913ea,
-  0x51a2f7fc, 0x3d859e96, 0x51af0c13, 0x3d8226e4,
-  0x51bb1f7c, 0x3d7eacd2, 0x51c73235, 0x3d7b3061,
-  0x51d3443f, 0x3d77b192, 0x51df5599, 0x3d743064,
-  0x51eb6643, 0x3d70acd7, 0x51f7763c, 0x3d6d26ec,
-  0x52038584, 0x3d699ea3, 0x520f941a, 0x3d6613fb,
-  0x521ba1fd, 0x3d6286f6, 0x5227af2e, 0x3d5ef793,
-  0x5233bbac, 0x3d5b65d2, 0x523fc776, 0x3d57d1b3,
-  0x524bd28c, 0x3d543b37, 0x5257dced, 0x3d50a25e,
-  0x5263e699, 0x3d4d0728, 0x526fef90, 0x3d496994,
-  0x527bf7d1, 0x3d45c9a4, 0x5287ff5b, 0x3d422757,
-  0x5294062f, 0x3d3e82ae, 0x52a00c4b, 0x3d3adba7,
-  0x52ac11af, 0x3d373245, 0x52b8165b, 0x3d338687,
-  0x52c41a4f, 0x3d2fd86c, 0x52d01d89, 0x3d2c27f6,
-  0x52dc2009, 0x3d287523, 0x52e821cf, 0x3d24bff6,
-  0x52f422db, 0x3d21086c, 0x5300232c, 0x3d1d4e88,
-  0x530c22c1, 0x3d199248, 0x5318219a, 0x3d15d3ad,
-  0x53241fb6, 0x3d1212b7, 0x53301d16, 0x3d0e4f67,
-  0x533c19b8, 0x3d0a89bc, 0x5348159d, 0x3d06c1b6,
-  0x535410c3, 0x3d02f757, 0x53600b2a, 0x3cff2a9d,
-  0x536c04d2, 0x3cfb5b89, 0x5377fdbb, 0x3cf78a1b,
-  0x5383f5e3, 0x3cf3b653, 0x538fed4b, 0x3cefe032,
-  0x539be3f2, 0x3cec07b8, 0x53a7d9d7, 0x3ce82ce4,
-  0x53b3cefa, 0x3ce44fb7, 0x53bfc35b, 0x3ce07031,
-  0x53cbb6f8, 0x3cdc8e52, 0x53d7a9d3, 0x3cd8aa1b,
-  0x53e39be9, 0x3cd4c38b, 0x53ef8d3c, 0x3cd0daa2,
-  0x53fb7dc9, 0x3cccef62, 0x54076d91, 0x3cc901c9,
-  0x54135c94, 0x3cc511d9, 0x541f4ad1, 0x3cc11f90,
-  0x542b3846, 0x3cbd2af0, 0x543724f5, 0x3cb933f9,
-  0x544310dd, 0x3cb53aaa, 0x544efbfc, 0x3cb13f04,
-  0x545ae653, 0x3cad4107, 0x5466cfe1, 0x3ca940b3,
-  0x5472b8a5, 0x3ca53e09, 0x547ea0a0, 0x3ca13908,
-  0x548a87d1, 0x3c9d31b0, 0x54966e36, 0x3c992803,
-  0x54a253d1, 0x3c951bff, 0x54ae38a0, 0x3c910da5,
-  0x54ba1ca3, 0x3c8cfcf6, 0x54c5ffd9, 0x3c88e9f1,
-  0x54d1e242, 0x3c84d496, 0x54ddc3de, 0x3c80bce7,
-  0x54e9a4ac, 0x3c7ca2e2, 0x54f584ac, 0x3c788688,
-  0x550163dc, 0x3c7467d9, 0x550d423d, 0x3c7046d6,
-  0x55191fcf, 0x3c6c237e, 0x5524fc90, 0x3c67fdd1,
-  0x5530d881, 0x3c63d5d1, 0x553cb3a0, 0x3c5fab7c,
-  0x55488dee, 0x3c5b7ed4, 0x5554676a, 0x3c574fd8,
-  0x55604013, 0x3c531e88, 0x556c17e9, 0x3c4eeae5,
-  0x5577eeec, 0x3c4ab4ef, 0x5583c51b, 0x3c467ca6,
-  0x558f9a76, 0x3c42420a, 0x559b6efb, 0x3c3e051b,
-  0x55a742ac, 0x3c39c5da, 0x55b31587, 0x3c358446,
-  0x55bee78c, 0x3c314060, 0x55cab8ba, 0x3c2cfa28,
-  0x55d68911, 0x3c28b19e, 0x55e25890, 0x3c2466c2,
-  0x55ee2738, 0x3c201994, 0x55f9f507, 0x3c1bca16,
-  0x5605c1fd, 0x3c177845, 0x56118e1a, 0x3c132424,
-  0x561d595d, 0x3c0ecdb2, 0x562923c5, 0x3c0a74f0,
-  0x5634ed53, 0x3c0619dc, 0x5640b606, 0x3c01bc78,
-  0x564c7ddd, 0x3bfd5cc4, 0x565844d8, 0x3bf8fac0,
-  0x56640af7, 0x3bf4966c, 0x566fd039, 0x3bf02fc9,
-  0x567b949d, 0x3bebc6d5, 0x56875823, 0x3be75b93,
-  0x56931acb, 0x3be2ee01, 0x569edc94, 0x3bde7e20,
-  0x56aa9d7e, 0x3bda0bf0, 0x56b65d88, 0x3bd59771,
-  0x56c21cb2, 0x3bd120a4, 0x56cddafb, 0x3bcca789,
-  0x56d99864, 0x3bc82c1f, 0x56e554ea, 0x3bc3ae67,
-  0x56f1108f, 0x3bbf2e62, 0x56fccb51, 0x3bbaac0e,
-  0x57088531, 0x3bb6276e, 0x57143e2d, 0x3bb1a080,
-  0x571ff646, 0x3bad1744, 0x572bad7a, 0x3ba88bbc,
-  0x573763c9, 0x3ba3fde7, 0x57431933, 0x3b9f6dc5,
-  0x574ecdb8, 0x3b9adb57, 0x575a8157, 0x3b96469d,
-  0x5766340f, 0x3b91af97, 0x5771e5e0, 0x3b8d1644,
-  0x577d96ca, 0x3b887aa6, 0x578946cc, 0x3b83dcbc,
-  0x5794f5e6, 0x3b7f3c87, 0x57a0a417, 0x3b7a9a07,
-  0x57ac515f, 0x3b75f53c, 0x57b7fdbd, 0x3b714e25,
-  0x57c3a931, 0x3b6ca4c4, 0x57cf53bb, 0x3b67f919,
-  0x57dafd59, 0x3b634b23, 0x57e6a60c, 0x3b5e9ae4,
-  0x57f24dd3, 0x3b59e85a, 0x57fdf4ae, 0x3b553386,
-  0x58099a9c, 0x3b507c69, 0x58153f9d, 0x3b4bc303,
-  0x5820e3b0, 0x3b470753, 0x582c86d5, 0x3b42495a,
-  0x5838290c, 0x3b3d8918, 0x5843ca53, 0x3b38c68e,
-  0x584f6aab, 0x3b3401bb, 0x585b0a13, 0x3b2f3aa0,
-  0x5866a88a, 0x3b2a713d, 0x58724611, 0x3b25a591,
-  0x587de2a7, 0x3b20d79e, 0x58897e4a, 0x3b1c0764,
-  0x589518fc, 0x3b1734e2, 0x58a0b2bb, 0x3b126019,
-  0x58ac4b87, 0x3b0d8909, 0x58b7e35f, 0x3b08afb2,
-  0x58c37a44, 0x3b03d414, 0x58cf1034, 0x3afef630,
-  0x58daa52f, 0x3afa1605, 0x58e63935, 0x3af53395,
-  0x58f1cc45, 0x3af04edf, 0x58fd5e5f, 0x3aeb67e3,
-  0x5908ef82, 0x3ae67ea1, 0x59147fae, 0x3ae1931a,
-  0x59200ee3, 0x3adca54e, 0x592b9d1f, 0x3ad7b53d,
-  0x59372a64, 0x3ad2c2e8, 0x5942b6af, 0x3acdce4d,
-  0x594e4201, 0x3ac8d76f, 0x5959cc5a, 0x3ac3de4c,
-  0x596555b8, 0x3abee2e5, 0x5970de1b, 0x3ab9e53a,
-  0x597c6584, 0x3ab4e54c, 0x5987ebf0, 0x3aafe31b,
-  0x59937161, 0x3aaadea6, 0x599ef5d6, 0x3aa5d7ee,
-  0x59aa794d, 0x3aa0cef3, 0x59b5fbc8, 0x3a9bc3b6,
-  0x59c17d44, 0x3a96b636, 0x59ccfdc2, 0x3a91a674,
-  0x59d87d42, 0x3a8c9470, 0x59e3fbc3, 0x3a87802a,
-  0x59ef7944, 0x3a8269a3, 0x59faf5c5, 0x3a7d50da,
-  0x5a067145, 0x3a7835cf, 0x5a11ebc5, 0x3a731884,
-  0x5a1d6544, 0x3a6df8f8, 0x5a28ddc0, 0x3a68d72b,
-  0x5a34553b, 0x3a63b31d, 0x5a3fcbb3, 0x3a5e8cd0,
-  0x5a4b4128, 0x3a596442, 0x5a56b599, 0x3a543974,
-  0x5a622907, 0x3a4f0c67, 0x5a6d9b70, 0x3a49dd1a,
-  0x5a790cd4, 0x3a44ab8e, 0x5a847d33, 0x3a3f77c3,
-  0x5a8fec8c, 0x3a3a41b9, 0x5a9b5adf, 0x3a350970,
-  0x5aa6c82b, 0x3a2fcee8, 0x5ab23471, 0x3a2a9223,
-  0x5abd9faf, 0x3a25531f, 0x5ac909e5, 0x3a2011de,
-  0x5ad47312, 0x3a1ace5f, 0x5adfdb37, 0x3a1588a2,
-  0x5aeb4253, 0x3a1040a8, 0x5af6a865, 0x3a0af671,
-  0x5b020d6c, 0x3a05a9fd, 0x5b0d716a, 0x3a005b4d,
-  0x5b18d45c, 0x39fb0a60, 0x5b243643, 0x39f5b737,
-  0x5b2f971e, 0x39f061d2, 0x5b3af6ec, 0x39eb0a31,
-  0x5b4655ae, 0x39e5b054, 0x5b51b363, 0x39e0543c,
-  0x5b5d100a, 0x39daf5e8, 0x5b686ba3, 0x39d5955a,
-  0x5b73c62d, 0x39d03291, 0x5b7f1fa9, 0x39cacd8d,
-  0x5b8a7815, 0x39c5664f, 0x5b95cf71, 0x39bffcd7,
-  0x5ba125bd, 0x39ba9125, 0x5bac7af9, 0x39b52339,
-  0x5bb7cf23, 0x39afb313, 0x5bc3223c, 0x39aa40b4,
-  0x5bce7442, 0x39a4cc1c, 0x5bd9c537, 0x399f554b,
-  0x5be51518, 0x3999dc42, 0x5bf063e6, 0x399460ff,
-  0x5bfbb1a0, 0x398ee385, 0x5c06fe46, 0x398963d2,
-  0x5c1249d8, 0x3983e1e8, 0x5c1d9454, 0x397e5dc6,
-  0x5c28ddbb, 0x3978d76c, 0x5c34260c, 0x39734edc,
-  0x5c3f6d47, 0x396dc414, 0x5c4ab36b, 0x39683715,
-  0x5c55f878, 0x3962a7e0, 0x5c613c6d, 0x395d1675,
-  0x5c6c7f4a, 0x395782d3, 0x5c77c10e, 0x3951ecfc,
-  0x5c8301b9, 0x394c54ee, 0x5c8e414b, 0x3946baac,
-  0x5c997fc4, 0x39411e33, 0x5ca4bd21, 0x393b7f86,
-  0x5caff965, 0x3935dea4, 0x5cbb348d, 0x39303b8e,
-  0x5cc66e99, 0x392a9642, 0x5cd1a78a, 0x3924eec3,
-  0x5cdcdf5e, 0x391f4510, 0x5ce81615, 0x39199929,
-  0x5cf34baf, 0x3913eb0e, 0x5cfe802b, 0x390e3ac0,
-  0x5d09b389, 0x3908883f, 0x5d14e5c9, 0x3902d38b,
-  0x5d2016e9, 0x38fd1ca4, 0x5d2b46ea, 0x38f7638b,
-  0x5d3675cb, 0x38f1a840, 0x5d41a38c, 0x38ebeac2,
-  0x5d4cd02c, 0x38e62b13, 0x5d57fbaa, 0x38e06932,
-  0x5d632608, 0x38daa520, 0x5d6e4f43, 0x38d4dedd,
-  0x5d79775c, 0x38cf1669, 0x5d849e51, 0x38c94bc4,
-  0x5d8fc424, 0x38c37eef, 0x5d9ae8d2, 0x38bdafea,
-  0x5da60c5d, 0x38b7deb4, 0x5db12ec3, 0x38b20b4f,
-  0x5dbc5004, 0x38ac35ba, 0x5dc7701f, 0x38a65df6,
-  0x5dd28f15, 0x38a08402, 0x5dddace4, 0x389aa7e0,
-  0x5de8c98c, 0x3894c98f, 0x5df3e50d, 0x388ee910,
-  0x5dfeff67, 0x38890663, 0x5e0a1898, 0x38832187,
-  0x5e1530a1, 0x387d3a7e, 0x5e204781, 0x38775147,
-  0x5e2b5d38, 0x387165e3, 0x5e3671c5, 0x386b7852,
-  0x5e418528, 0x38658894, 0x5e4c9760, 0x385f96a9,
-  0x5e57a86d, 0x3859a292, 0x5e62b84f, 0x3853ac4f,
-  0x5e6dc705, 0x384db3e0, 0x5e78d48e, 0x3847b946,
-  0x5e83e0eb, 0x3841bc7f, 0x5e8eec1b, 0x383bbd8e,
-  0x5e99f61d, 0x3835bc71, 0x5ea4fef0, 0x382fb92a,
-  0x5eb00696, 0x3829b3b9, 0x5ebb0d0d, 0x3823ac1d,
-  0x5ec61254, 0x381da256, 0x5ed1166b, 0x38179666,
-  0x5edc1953, 0x3811884d, 0x5ee71b0a, 0x380b780a,
-  0x5ef21b90, 0x3805659e, 0x5efd1ae4, 0x37ff5109,
-  0x5f081907, 0x37f93a4b, 0x5f1315f7, 0x37f32165,
-  0x5f1e11b5, 0x37ed0657, 0x5f290c3f, 0x37e6e921,
-  0x5f340596, 0x37e0c9c3, 0x5f3efdb9, 0x37daa83d,
-  0x5f49f4a8, 0x37d48490, 0x5f54ea62, 0x37ce5ebd,
-  0x5f5fdee6, 0x37c836c2, 0x5f6ad235, 0x37c20ca1,
-  0x5f75c44e, 0x37bbe05a, 0x5f80b531, 0x37b5b1ec,
-  0x5f8ba4dc, 0x37af8159, 0x5f969350, 0x37a94ea0,
-  0x5fa1808c, 0x37a319c2, 0x5fac6c91, 0x379ce2be,
-  0x5fb7575c, 0x3796a996, 0x5fc240ef, 0x37906e49,
-  0x5fcd2948, 0x378a30d8, 0x5fd81067, 0x3783f143,
-  0x5fe2f64c, 0x377daf89, 0x5feddaf6, 0x37776bac,
-  0x5ff8be65, 0x377125ac, 0x6003a099, 0x376add88,
-  0x600e8190, 0x37649341, 0x6019614c, 0x375e46d8,
-  0x60243fca, 0x3757f84c, 0x602f1d0b, 0x3751a79e,
-  0x6039f90f, 0x374b54ce, 0x6044d3d4, 0x3744ffdd,
-  0x604fad5b, 0x373ea8ca, 0x605a85a3, 0x37384f95,
-  0x60655cac, 0x3731f440, 0x60703275, 0x372b96ca,
-  0x607b06fe, 0x37253733, 0x6085da46, 0x371ed57c,
-  0x6090ac4d, 0x371871a5, 0x609b7d13, 0x37120bae,
-  0x60a64c97, 0x370ba398, 0x60b11ad9, 0x37053962,
-  0x60bbe7d8, 0x36fecd0e, 0x60c6b395, 0x36f85e9a,
-  0x60d17e0d, 0x36f1ee09, 0x60dc4742, 0x36eb7b58,
-  0x60e70f32, 0x36e5068a, 0x60f1d5de, 0x36de8f9e,
-  0x60fc9b44, 0x36d81695, 0x61075f65, 0x36d19b6e,
-  0x61122240, 0x36cb1e2a, 0x611ce3d5, 0x36c49ec9,
-  0x6127a423, 0x36be1d4c, 0x61326329, 0x36b799b3,
-  0x613d20e8, 0x36b113fd, 0x6147dd5f, 0x36aa8c2c,
-  0x6152988d, 0x36a4023f, 0x615d5273, 0x369d7637,
-  0x61680b0f, 0x3696e814, 0x6172c262, 0x369057d6,
-  0x617d786a, 0x3689c57d, 0x61882d28, 0x3683310b,
-  0x6192e09b, 0x367c9a7e, 0x619d92c2, 0x367601d7,
-  0x61a8439e, 0x366f6717, 0x61b2f32e, 0x3668ca3e,
-  0x61bda171, 0x36622b4c, 0x61c84e67, 0x365b8a41,
-  0x61d2fa0f, 0x3654e71d, 0x61dda46a, 0x364e41e2,
-  0x61e84d76, 0x36479a8e, 0x61f2f534, 0x3640f123,
-  0x61fd9ba3, 0x363a45a0, 0x620840c2, 0x36339806,
-  0x6212e492, 0x362ce855, 0x621d8711, 0x3626368d,
-  0x6228283f, 0x361f82af, 0x6232c81c, 0x3618ccba,
-  0x623d66a8, 0x361214b0, 0x624803e2, 0x360b5a90,
-  0x62529fca, 0x36049e5b, 0x625d3a5e, 0x35fde011,
-  0x6267d3a0, 0x35f71fb1, 0x62726b8e, 0x35f05d3d,
-  0x627d0228, 0x35e998b5, 0x6287976e, 0x35e2d219,
-  0x62922b5e, 0x35dc0968, 0x629cbdfa, 0x35d53ea5,
-  0x62a74f40, 0x35ce71ce, 0x62b1df30, 0x35c7a2e3,
-  0x62bc6dca, 0x35c0d1e7, 0x62c6fb0c, 0x35b9fed7,
-  0x62d186f8, 0x35b329b5, 0x62dc118c, 0x35ac5282,
-  0x62e69ac8, 0x35a5793c, 0x62f122ab, 0x359e9de5,
-  0x62fba936, 0x3597c07d, 0x63062e67, 0x3590e104,
-  0x6310b23e, 0x3589ff7a, 0x631b34bc, 0x35831be0,
-  0x6325b5df, 0x357c3636, 0x633035a7, 0x35754e7c,
-  0x633ab414, 0x356e64b2, 0x63453125, 0x356778d9,
-  0x634facda, 0x35608af1, 0x635a2733, 0x35599afa,
-  0x6364a02e, 0x3552a8f4, 0x636f17cc, 0x354bb4e1,
-  0x63798e0d, 0x3544bebf, 0x638402ef, 0x353dc68f,
-  0x638e7673, 0x3536cc52, 0x6398e898, 0x352fd008,
-  0x63a3595e, 0x3528d1b1, 0x63adc8c4, 0x3521d14d,
-  0x63b836ca, 0x351acedd, 0x63c2a36f, 0x3513ca60,
-  0x63cd0eb3, 0x350cc3d8, 0x63d77896, 0x3505bb44,
-  0x63e1e117, 0x34feb0a5, 0x63ec4837, 0x34f7a3fb,
-  0x63f6adf3, 0x34f09546, 0x6401124d, 0x34e98487,
-  0x640b7543, 0x34e271bd, 0x6415d6d5, 0x34db5cea,
-  0x64203704, 0x34d4460c, 0x642a95ce, 0x34cd2d26,
-  0x6434f332, 0x34c61236, 0x643f4f32, 0x34bef53d,
-  0x6449a9cc, 0x34b7d63c, 0x645402ff, 0x34b0b533,
-  0x645e5acc, 0x34a99221, 0x6468b132, 0x34a26d08,
-  0x64730631, 0x349b45e7, 0x647d59c8, 0x34941cbf,
-  0x6487abf7, 0x348cf190, 0x6491fcbe, 0x3485c45b,
-  0x649c4c1b, 0x347e951f, 0x64a69a0f, 0x347763dd,
-  0x64b0e699, 0x34703095, 0x64bb31ba, 0x3468fb47,
-  0x64c57b6f, 0x3461c3f5, 0x64cfc3ba, 0x345a8a9d,
-  0x64da0a9a, 0x34534f41, 0x64e4500e, 0x344c11e0,
-  0x64ee9415, 0x3444d27b, 0x64f8d6b0, 0x343d9112,
-  0x650317df, 0x34364da6, 0x650d57a0, 0x342f0836,
-  0x651795f3, 0x3427c0c3, 0x6521d2d8, 0x3420774d,
-  0x652c0e4f, 0x34192bd5, 0x65364857, 0x3411de5b,
-  0x654080ef, 0x340a8edf, 0x654ab818, 0x34033d61,
-  0x6554edd1, 0x33fbe9e2, 0x655f2219, 0x33f49462,
-  0x656954f1, 0x33ed3ce1, 0x65738657, 0x33e5e360,
-  0x657db64c, 0x33de87de, 0x6587e4cf, 0x33d72a5d,
-  0x659211df, 0x33cfcadc, 0x659c3d7c, 0x33c8695b,
-  0x65a667a7, 0x33c105db, 0x65b0905d, 0x33b9a05d,
-  0x65bab7a0, 0x33b238e0, 0x65c4dd6e, 0x33aacf65,
-  0x65cf01c8, 0x33a363ec, 0x65d924ac, 0x339bf675,
-  0x65e3461b, 0x33948701, 0x65ed6614, 0x338d1590,
-  0x65f78497, 0x3385a222, 0x6601a1a2, 0x337e2cb7,
-  0x660bbd37, 0x3376b551, 0x6615d754, 0x336f3bee,
-  0x661feffa, 0x3367c090, 0x662a0727, 0x33604336,
-  0x66341cdb, 0x3358c3e2, 0x663e3117, 0x33514292,
-  0x664843d9, 0x3349bf48, 0x66525521, 0x33423a04,
-  0x665c64ef, 0x333ab2c6, 0x66667342, 0x3333298f,
-  0x6670801a, 0x332b9e5e, 0x667a8b77, 0x33241134,
-  0x66849558, 0x331c8211, 0x668e9dbd, 0x3314f0f6,
-  0x6698a4a6, 0x330d5de3, 0x66a2aa11, 0x3305c8d7,
-  0x66acadff, 0x32fe31d5, 0x66b6b070, 0x32f698db,
-  0x66c0b162, 0x32eefdea, 0x66cab0d6, 0x32e76102,
-  0x66d4aecb, 0x32dfc224, 0x66deab41, 0x32d82150,
-  0x66e8a637, 0x32d07e85, 0x66f29fad, 0x32c8d9c6,
-  0x66fc97a3, 0x32c13311, 0x67068e18, 0x32b98a67,
-  0x6710830c, 0x32b1dfc9, 0x671a767e, 0x32aa3336,
-  0x6724686e, 0x32a284b0, 0x672e58dc, 0x329ad435,
-  0x673847c8, 0x329321c7, 0x67423530, 0x328b6d66,
-  0x674c2115, 0x3283b712, 0x67560b76, 0x327bfecc,
-  0x675ff452, 0x32744493, 0x6769dbaa, 0x326c8868,
-  0x6773c17d, 0x3264ca4c, 0x677da5cb, 0x325d0a3e,
-  0x67878893, 0x32554840, 0x679169d5, 0x324d8450,
-  0x679b4990, 0x3245be70, 0x67a527c4, 0x323df6a0,
-  0x67af0472, 0x32362ce0, 0x67b8df97, 0x322e6130,
-  0x67c2b934, 0x32269391, 0x67cc9149, 0x321ec403,
-  0x67d667d5, 0x3216f287, 0x67e03cd8, 0x320f1f1c,
-  0x67ea1052, 0x320749c3, 0x67f3e241, 0x31ff727c,
-  0x67fdb2a7, 0x31f79948, 0x68078181, 0x31efbe27,
-  0x68114ed0, 0x31e7e118, 0x681b1a94, 0x31e0021e,
-  0x6824e4cc, 0x31d82137, 0x682ead78, 0x31d03e64,
-  0x68387498, 0x31c859a5, 0x68423a2a, 0x31c072fb,
-  0x684bfe2f, 0x31b88a66, 0x6855c0a6, 0x31b09fe7,
-  0x685f8190, 0x31a8b37c, 0x686940ea, 0x31a0c528,
-  0x6872feb6, 0x3198d4ea, 0x687cbaf3, 0x3190e2c3,
-  0x688675a0, 0x3188eeb2, 0x68902ebd, 0x3180f8b8,
-  0x6899e64a, 0x317900d6, 0x68a39c46, 0x3171070c,
-  0x68ad50b1, 0x31690b59, 0x68b7038b, 0x31610dbf,
-  0x68c0b4d2, 0x31590e3e, 0x68ca6488, 0x31510cd5,
-  0x68d412ab, 0x31490986, 0x68ddbf3b, 0x31410450,
-  0x68e76a37, 0x3138fd35, 0x68f113a0, 0x3130f433,
-  0x68fabb75, 0x3128e94c, 0x690461b5, 0x3120dc80,
-  0x690e0661, 0x3118cdcf, 0x6917a977, 0x3110bd39,
-  0x69214af8, 0x3108aabf, 0x692aeae3, 0x31009661,
-  0x69348937, 0x30f8801f, 0x693e25f5, 0x30f067fb,
-  0x6947c11c, 0x30e84df3, 0x69515aab, 0x30e03208,
-  0x695af2a3, 0x30d8143b, 0x69648902, 0x30cff48c,
-  0x696e1dc9, 0x30c7d2fb, 0x6977b0f7, 0x30bfaf89,
-  0x6981428c, 0x30b78a36, 0x698ad287, 0x30af6302,
-  0x699460e8, 0x30a739ed, 0x699dedaf, 0x309f0ef8,
-  0x69a778db, 0x3096e223, 0x69b1026c, 0x308eb36f,
-  0x69ba8a61, 0x308682dc, 0x69c410ba, 0x307e5069,
-  0x69cd9578, 0x30761c18, 0x69d71899, 0x306de5e9,
-  0x69e09a1c, 0x3065addb, 0x69ea1a03, 0x305d73f0,
-  0x69f3984c, 0x30553828, 0x69fd14f6, 0x304cfa83,
-  0x6a069003, 0x3044bb00, 0x6a100970, 0x303c79a2,
-  0x6a19813f, 0x30343667, 0x6a22f76e, 0x302bf151,
-  0x6a2c6bfd, 0x3023aa5f, 0x6a35deeb, 0x301b6193,
-  0x6a3f503a, 0x301316eb, 0x6a48bfe7, 0x300aca69,
-  0x6a522df3, 0x30027c0c, 0x6a5b9a5d, 0x2ffa2bd6,
-  0x6a650525, 0x2ff1d9c7, 0x6a6e6e4b, 0x2fe985de,
-  0x6a77d5ce, 0x2fe1301c, 0x6a813bae, 0x2fd8d882,
-  0x6a8a9fea, 0x2fd07f0f, 0x6a940283, 0x2fc823c5,
-  0x6a9d6377, 0x2fbfc6a3, 0x6aa6c2c6, 0x2fb767aa,
-  0x6ab02071, 0x2faf06da, 0x6ab97c77, 0x2fa6a433,
-  0x6ac2d6d6, 0x2f9e3fb6, 0x6acc2f90, 0x2f95d963,
-  0x6ad586a3, 0x2f8d713a, 0x6adedc10, 0x2f85073c,
-  0x6ae82fd5, 0x2f7c9b69, 0x6af181f3, 0x2f742dc1,
-  0x6afad269, 0x2f6bbe45, 0x6b042137, 0x2f634cf5,
-  0x6b0d6e5c, 0x2f5ad9d1, 0x6b16b9d9, 0x2f5264da,
-  0x6b2003ac, 0x2f49ee0f, 0x6b294bd5, 0x2f417573,
-  0x6b329255, 0x2f38fb03, 0x6b3bd72a, 0x2f307ec2,
-  0x6b451a55, 0x2f2800af, 0x6b4e5bd4, 0x2f1f80ca,
-  0x6b579ba8, 0x2f16ff14, 0x6b60d9d0, 0x2f0e7b8e,
-  0x6b6a164d, 0x2f05f637, 0x6b73511c, 0x2efd6f10,
-  0x6b7c8a3f, 0x2ef4e619, 0x6b85c1b5, 0x2eec5b53,
-  0x6b8ef77d, 0x2ee3cebe, 0x6b982b97, 0x2edb405a,
-  0x6ba15e03, 0x2ed2b027, 0x6baa8ec0, 0x2eca1e27,
-  0x6bb3bdce, 0x2ec18a58, 0x6bbceb2d, 0x2eb8f4bc,
-  0x6bc616dd, 0x2eb05d53, 0x6bcf40dc, 0x2ea7c41e,
-  0x6bd8692b, 0x2e9f291b, 0x6be18fc9, 0x2e968c4d,
-  0x6beab4b6, 0x2e8dedb3, 0x6bf3d7f2, 0x2e854d4d,
-  0x6bfcf97c, 0x2e7cab1c, 0x6c061953, 0x2e740720,
-  0x6c0f3779, 0x2e6b615a, 0x6c1853eb, 0x2e62b9ca,
-  0x6c216eaa, 0x2e5a1070, 0x6c2a87b6, 0x2e51654c,
-  0x6c339f0e, 0x2e48b860, 0x6c3cb4b1, 0x2e4009aa,
-  0x6c45c8a0, 0x2e37592c, 0x6c4edada, 0x2e2ea6e6,
-  0x6c57eb5e, 0x2e25f2d8, 0x6c60fa2d, 0x2e1d3d03,
-  0x6c6a0746, 0x2e148566, 0x6c7312a9, 0x2e0bcc03,
-  0x6c7c1c55, 0x2e0310d9, 0x6c85244a, 0x2dfa53e9,
-  0x6c8e2a87, 0x2df19534, 0x6c972f0d, 0x2de8d4b8,
-  0x6ca031da, 0x2de01278, 0x6ca932ef, 0x2dd74e73,
-  0x6cb2324c, 0x2dce88aa, 0x6cbb2fef, 0x2dc5c11c,
-  0x6cc42bd9, 0x2dbcf7cb, 0x6ccd2609, 0x2db42cb6,
-  0x6cd61e7f, 0x2dab5fdf, 0x6cdf153a, 0x2da29144,
-  0x6ce80a3a, 0x2d99c0e7, 0x6cf0fd80, 0x2d90eec8,
-  0x6cf9ef09, 0x2d881ae8, 0x6d02ded7, 0x2d7f4545,
-  0x6d0bcce8, 0x2d766de2, 0x6d14b93d, 0x2d6d94bf,
-  0x6d1da3d5, 0x2d64b9da, 0x6d268cb0, 0x2d5bdd36,
-  0x6d2f73cd, 0x2d52fed2, 0x6d38592c, 0x2d4a1eaf,
-  0x6d413ccd, 0x2d413ccd, 0x6d4a1eaf, 0x2d38592c,
-  0x6d52fed2, 0x2d2f73cd, 0x6d5bdd36, 0x2d268cb0,
-  0x6d64b9da, 0x2d1da3d5, 0x6d6d94bf, 0x2d14b93d,
-  0x6d766de2, 0x2d0bcce8, 0x6d7f4545, 0x2d02ded7,
-  0x6d881ae8, 0x2cf9ef09, 0x6d90eec8, 0x2cf0fd80,
-  0x6d99c0e7, 0x2ce80a3a, 0x6da29144, 0x2cdf153a,
-  0x6dab5fdf, 0x2cd61e7f, 0x6db42cb6, 0x2ccd2609,
-  0x6dbcf7cb, 0x2cc42bd9, 0x6dc5c11c, 0x2cbb2fef,
-  0x6dce88aa, 0x2cb2324c, 0x6dd74e73, 0x2ca932ef,
-  0x6de01278, 0x2ca031da, 0x6de8d4b8, 0x2c972f0d,
-  0x6df19534, 0x2c8e2a87, 0x6dfa53e9, 0x2c85244a,
-  0x6e0310d9, 0x2c7c1c55, 0x6e0bcc03, 0x2c7312a9,
-  0x6e148566, 0x2c6a0746, 0x6e1d3d03, 0x2c60fa2d,
-  0x6e25f2d8, 0x2c57eb5e, 0x6e2ea6e6, 0x2c4edada,
-  0x6e37592c, 0x2c45c8a0, 0x6e4009aa, 0x2c3cb4b1,
-  0x6e48b860, 0x2c339f0e, 0x6e51654c, 0x2c2a87b6,
-  0x6e5a1070, 0x2c216eaa, 0x6e62b9ca, 0x2c1853eb,
-  0x6e6b615a, 0x2c0f3779, 0x6e740720, 0x2c061953,
-  0x6e7cab1c, 0x2bfcf97c, 0x6e854d4d, 0x2bf3d7f2,
-  0x6e8dedb3, 0x2beab4b6, 0x6e968c4d, 0x2be18fc9,
-  0x6e9f291b, 0x2bd8692b, 0x6ea7c41e, 0x2bcf40dc,
-  0x6eb05d53, 0x2bc616dd, 0x6eb8f4bc, 0x2bbceb2d,
-  0x6ec18a58, 0x2bb3bdce, 0x6eca1e27, 0x2baa8ec0,
-  0x6ed2b027, 0x2ba15e03, 0x6edb405a, 0x2b982b97,
-  0x6ee3cebe, 0x2b8ef77d, 0x6eec5b53, 0x2b85c1b5,
-  0x6ef4e619, 0x2b7c8a3f, 0x6efd6f10, 0x2b73511c,
-  0x6f05f637, 0x2b6a164d, 0x6f0e7b8e, 0x2b60d9d0,
-  0x6f16ff14, 0x2b579ba8, 0x6f1f80ca, 0x2b4e5bd4,
-  0x6f2800af, 0x2b451a55, 0x6f307ec2, 0x2b3bd72a,
-  0x6f38fb03, 0x2b329255, 0x6f417573, 0x2b294bd5,
-  0x6f49ee0f, 0x2b2003ac, 0x6f5264da, 0x2b16b9d9,
-  0x6f5ad9d1, 0x2b0d6e5c, 0x6f634cf5, 0x2b042137,
-  0x6f6bbe45, 0x2afad269, 0x6f742dc1, 0x2af181f3,
-  0x6f7c9b69, 0x2ae82fd5, 0x6f85073c, 0x2adedc10,
-  0x6f8d713a, 0x2ad586a3, 0x6f95d963, 0x2acc2f90,
-  0x6f9e3fb6, 0x2ac2d6d6, 0x6fa6a433, 0x2ab97c77,
-  0x6faf06da, 0x2ab02071, 0x6fb767aa, 0x2aa6c2c6,
-  0x6fbfc6a3, 0x2a9d6377, 0x6fc823c5, 0x2a940283,
-  0x6fd07f0f, 0x2a8a9fea, 0x6fd8d882, 0x2a813bae,
-  0x6fe1301c, 0x2a77d5ce, 0x6fe985de, 0x2a6e6e4b,
-  0x6ff1d9c7, 0x2a650525, 0x6ffa2bd6, 0x2a5b9a5d,
-  0x70027c0c, 0x2a522df3, 0x700aca69, 0x2a48bfe7,
-  0x701316eb, 0x2a3f503a, 0x701b6193, 0x2a35deeb,
-  0x7023aa5f, 0x2a2c6bfd, 0x702bf151, 0x2a22f76e,
-  0x70343667, 0x2a19813f, 0x703c79a2, 0x2a100970,
-  0x7044bb00, 0x2a069003, 0x704cfa83, 0x29fd14f6,
-  0x70553828, 0x29f3984c, 0x705d73f0, 0x29ea1a03,
-  0x7065addb, 0x29e09a1c, 0x706de5e9, 0x29d71899,
-  0x70761c18, 0x29cd9578, 0x707e5069, 0x29c410ba,
-  0x708682dc, 0x29ba8a61, 0x708eb36f, 0x29b1026c,
-  0x7096e223, 0x29a778db, 0x709f0ef8, 0x299dedaf,
-  0x70a739ed, 0x299460e8, 0x70af6302, 0x298ad287,
-  0x70b78a36, 0x2981428c, 0x70bfaf89, 0x2977b0f7,
-  0x70c7d2fb, 0x296e1dc9, 0x70cff48c, 0x29648902,
-  0x70d8143b, 0x295af2a3, 0x70e03208, 0x29515aab,
-  0x70e84df3, 0x2947c11c, 0x70f067fb, 0x293e25f5,
-  0x70f8801f, 0x29348937, 0x71009661, 0x292aeae3,
-  0x7108aabf, 0x29214af8, 0x7110bd39, 0x2917a977,
-  0x7118cdcf, 0x290e0661, 0x7120dc80, 0x290461b5,
-  0x7128e94c, 0x28fabb75, 0x7130f433, 0x28f113a0,
-  0x7138fd35, 0x28e76a37, 0x71410450, 0x28ddbf3b,
-  0x71490986, 0x28d412ab, 0x71510cd5, 0x28ca6488,
-  0x71590e3e, 0x28c0b4d2, 0x71610dbf, 0x28b7038b,
-  0x71690b59, 0x28ad50b1, 0x7171070c, 0x28a39c46,
-  0x717900d6, 0x2899e64a, 0x7180f8b8, 0x28902ebd,
-  0x7188eeb2, 0x288675a0, 0x7190e2c3, 0x287cbaf3,
-  0x7198d4ea, 0x2872feb6, 0x71a0c528, 0x286940ea,
-  0x71a8b37c, 0x285f8190, 0x71b09fe7, 0x2855c0a6,
-  0x71b88a66, 0x284bfe2f, 0x71c072fb, 0x28423a2a,
-  0x71c859a5, 0x28387498, 0x71d03e64, 0x282ead78,
-  0x71d82137, 0x2824e4cc, 0x71e0021e, 0x281b1a94,
-  0x71e7e118, 0x28114ed0, 0x71efbe27, 0x28078181,
-  0x71f79948, 0x27fdb2a7, 0x71ff727c, 0x27f3e241,
-  0x720749c3, 0x27ea1052, 0x720f1f1c, 0x27e03cd8,
-  0x7216f287, 0x27d667d5, 0x721ec403, 0x27cc9149,
-  0x72269391, 0x27c2b934, 0x722e6130, 0x27b8df97,
-  0x72362ce0, 0x27af0472, 0x723df6a0, 0x27a527c4,
-  0x7245be70, 0x279b4990, 0x724d8450, 0x279169d5,
-  0x72554840, 0x27878893, 0x725d0a3e, 0x277da5cb,
-  0x7264ca4c, 0x2773c17d, 0x726c8868, 0x2769dbaa,
-  0x72744493, 0x275ff452, 0x727bfecc, 0x27560b76,
-  0x7283b712, 0x274c2115, 0x728b6d66, 0x27423530,
-  0x729321c7, 0x273847c8, 0x729ad435, 0x272e58dc,
-  0x72a284b0, 0x2724686e, 0x72aa3336, 0x271a767e,
-  0x72b1dfc9, 0x2710830c, 0x72b98a67, 0x27068e18,
-  0x72c13311, 0x26fc97a3, 0x72c8d9c6, 0x26f29fad,
-  0x72d07e85, 0x26e8a637, 0x72d82150, 0x26deab41,
-  0x72dfc224, 0x26d4aecb, 0x72e76102, 0x26cab0d6,
-  0x72eefdea, 0x26c0b162, 0x72f698db, 0x26b6b070,
-  0x72fe31d5, 0x26acadff, 0x7305c8d7, 0x26a2aa11,
-  0x730d5de3, 0x2698a4a6, 0x7314f0f6, 0x268e9dbd,
-  0x731c8211, 0x26849558, 0x73241134, 0x267a8b77,
-  0x732b9e5e, 0x2670801a, 0x7333298f, 0x26667342,
-  0x733ab2c6, 0x265c64ef, 0x73423a04, 0x26525521,
-  0x7349bf48, 0x264843d9, 0x73514292, 0x263e3117,
-  0x7358c3e2, 0x26341cdb, 0x73604336, 0x262a0727,
-  0x7367c090, 0x261feffa, 0x736f3bee, 0x2615d754,
-  0x7376b551, 0x260bbd37, 0x737e2cb7, 0x2601a1a2,
-  0x7385a222, 0x25f78497, 0x738d1590, 0x25ed6614,
-  0x73948701, 0x25e3461b, 0x739bf675, 0x25d924ac,
-  0x73a363ec, 0x25cf01c8, 0x73aacf65, 0x25c4dd6e,
-  0x73b238e0, 0x25bab7a0, 0x73b9a05d, 0x25b0905d,
-  0x73c105db, 0x25a667a7, 0x73c8695b, 0x259c3d7c,
-  0x73cfcadc, 0x259211df, 0x73d72a5d, 0x2587e4cf,
-  0x73de87de, 0x257db64c, 0x73e5e360, 0x25738657,
-  0x73ed3ce1, 0x256954f1, 0x73f49462, 0x255f2219,
-  0x73fbe9e2, 0x2554edd1, 0x74033d61, 0x254ab818,
-  0x740a8edf, 0x254080ef, 0x7411de5b, 0x25364857,
-  0x74192bd5, 0x252c0e4f, 0x7420774d, 0x2521d2d8,
-  0x7427c0c3, 0x251795f3, 0x742f0836, 0x250d57a0,
-  0x74364da6, 0x250317df, 0x743d9112, 0x24f8d6b0,
-  0x7444d27b, 0x24ee9415, 0x744c11e0, 0x24e4500e,
-  0x74534f41, 0x24da0a9a, 0x745a8a9d, 0x24cfc3ba,
-  0x7461c3f5, 0x24c57b6f, 0x7468fb47, 0x24bb31ba,
-  0x74703095, 0x24b0e699, 0x747763dd, 0x24a69a0f,
-  0x747e951f, 0x249c4c1b, 0x7485c45b, 0x2491fcbe,
-  0x748cf190, 0x2487abf7, 0x74941cbf, 0x247d59c8,
-  0x749b45e7, 0x24730631, 0x74a26d08, 0x2468b132,
-  0x74a99221, 0x245e5acc, 0x74b0b533, 0x245402ff,
-  0x74b7d63c, 0x2449a9cc, 0x74bef53d, 0x243f4f32,
-  0x74c61236, 0x2434f332, 0x74cd2d26, 0x242a95ce,
-  0x74d4460c, 0x24203704, 0x74db5cea, 0x2415d6d5,
-  0x74e271bd, 0x240b7543, 0x74e98487, 0x2401124d,
-  0x74f09546, 0x23f6adf3, 0x74f7a3fb, 0x23ec4837,
-  0x74feb0a5, 0x23e1e117, 0x7505bb44, 0x23d77896,
-  0x750cc3d8, 0x23cd0eb3, 0x7513ca60, 0x23c2a36f,
-  0x751acedd, 0x23b836ca, 0x7521d14d, 0x23adc8c4,
-  0x7528d1b1, 0x23a3595e, 0x752fd008, 0x2398e898,
-  0x7536cc52, 0x238e7673, 0x753dc68f, 0x238402ef,
-  0x7544bebf, 0x23798e0d, 0x754bb4e1, 0x236f17cc,
-  0x7552a8f4, 0x2364a02e, 0x75599afa, 0x235a2733,
-  0x75608af1, 0x234facda, 0x756778d9, 0x23453125,
-  0x756e64b2, 0x233ab414, 0x75754e7c, 0x233035a7,
-  0x757c3636, 0x2325b5df, 0x75831be0, 0x231b34bc,
-  0x7589ff7a, 0x2310b23e, 0x7590e104, 0x23062e67,
-  0x7597c07d, 0x22fba936, 0x759e9de5, 0x22f122ab,
-  0x75a5793c, 0x22e69ac8, 0x75ac5282, 0x22dc118c,
-  0x75b329b5, 0x22d186f8, 0x75b9fed7, 0x22c6fb0c,
-  0x75c0d1e7, 0x22bc6dca, 0x75c7a2e3, 0x22b1df30,
-  0x75ce71ce, 0x22a74f40, 0x75d53ea5, 0x229cbdfa,
-  0x75dc0968, 0x22922b5e, 0x75e2d219, 0x2287976e,
-  0x75e998b5, 0x227d0228, 0x75f05d3d, 0x22726b8e,
-  0x75f71fb1, 0x2267d3a0, 0x75fde011, 0x225d3a5e,
-  0x76049e5b, 0x22529fca, 0x760b5a90, 0x224803e2,
-  0x761214b0, 0x223d66a8, 0x7618ccba, 0x2232c81c,
-  0x761f82af, 0x2228283f, 0x7626368d, 0x221d8711,
-  0x762ce855, 0x2212e492, 0x76339806, 0x220840c2,
-  0x763a45a0, 0x21fd9ba3, 0x7640f123, 0x21f2f534,
-  0x76479a8e, 0x21e84d76, 0x764e41e2, 0x21dda46a,
-  0x7654e71d, 0x21d2fa0f, 0x765b8a41, 0x21c84e67,
-  0x76622b4c, 0x21bda171, 0x7668ca3e, 0x21b2f32e,
-  0x766f6717, 0x21a8439e, 0x767601d7, 0x219d92c2,
-  0x767c9a7e, 0x2192e09b, 0x7683310b, 0x21882d28,
-  0x7689c57d, 0x217d786a, 0x769057d6, 0x2172c262,
-  0x7696e814, 0x21680b0f, 0x769d7637, 0x215d5273,
-  0x76a4023f, 0x2152988d, 0x76aa8c2c, 0x2147dd5f,
-  0x76b113fd, 0x213d20e8, 0x76b799b3, 0x21326329,
-  0x76be1d4c, 0x2127a423, 0x76c49ec9, 0x211ce3d5,
-  0x76cb1e2a, 0x21122240, 0x76d19b6e, 0x21075f65,
-  0x76d81695, 0x20fc9b44, 0x76de8f9e, 0x20f1d5de,
-  0x76e5068a, 0x20e70f32, 0x76eb7b58, 0x20dc4742,
-  0x76f1ee09, 0x20d17e0d, 0x76f85e9a, 0x20c6b395,
-  0x76fecd0e, 0x20bbe7d8, 0x77053962, 0x20b11ad9,
-  0x770ba398, 0x20a64c97, 0x77120bae, 0x209b7d13,
-  0x771871a5, 0x2090ac4d, 0x771ed57c, 0x2085da46,
-  0x77253733, 0x207b06fe, 0x772b96ca, 0x20703275,
-  0x7731f440, 0x20655cac, 0x77384f95, 0x205a85a3,
-  0x773ea8ca, 0x204fad5b, 0x7744ffdd, 0x2044d3d4,
-  0x774b54ce, 0x2039f90f, 0x7751a79e, 0x202f1d0b,
-  0x7757f84c, 0x20243fca, 0x775e46d8, 0x2019614c,
-  0x77649341, 0x200e8190, 0x776add88, 0x2003a099,
-  0x777125ac, 0x1ff8be65, 0x77776bac, 0x1feddaf6,
-  0x777daf89, 0x1fe2f64c, 0x7783f143, 0x1fd81067,
-  0x778a30d8, 0x1fcd2948, 0x77906e49, 0x1fc240ef,
-  0x7796a996, 0x1fb7575c, 0x779ce2be, 0x1fac6c91,
-  0x77a319c2, 0x1fa1808c, 0x77a94ea0, 0x1f969350,
-  0x77af8159, 0x1f8ba4dc, 0x77b5b1ec, 0x1f80b531,
-  0x77bbe05a, 0x1f75c44e, 0x77c20ca1, 0x1f6ad235,
-  0x77c836c2, 0x1f5fdee6, 0x77ce5ebd, 0x1f54ea62,
-  0x77d48490, 0x1f49f4a8, 0x77daa83d, 0x1f3efdb9,
-  0x77e0c9c3, 0x1f340596, 0x77e6e921, 0x1f290c3f,
-  0x77ed0657, 0x1f1e11b5, 0x77f32165, 0x1f1315f7,
-  0x77f93a4b, 0x1f081907, 0x77ff5109, 0x1efd1ae4,
-  0x7805659e, 0x1ef21b90, 0x780b780a, 0x1ee71b0a,
-  0x7811884d, 0x1edc1953, 0x78179666, 0x1ed1166b,
-  0x781da256, 0x1ec61254, 0x7823ac1d, 0x1ebb0d0d,
-  0x7829b3b9, 0x1eb00696, 0x782fb92a, 0x1ea4fef0,
-  0x7835bc71, 0x1e99f61d, 0x783bbd8e, 0x1e8eec1b,
-  0x7841bc7f, 0x1e83e0eb, 0x7847b946, 0x1e78d48e,
-  0x784db3e0, 0x1e6dc705, 0x7853ac4f, 0x1e62b84f,
-  0x7859a292, 0x1e57a86d, 0x785f96a9, 0x1e4c9760,
-  0x78658894, 0x1e418528, 0x786b7852, 0x1e3671c5,
-  0x787165e3, 0x1e2b5d38, 0x78775147, 0x1e204781,
-  0x787d3a7e, 0x1e1530a1, 0x78832187, 0x1e0a1898,
-  0x78890663, 0x1dfeff67, 0x788ee910, 0x1df3e50d,
-  0x7894c98f, 0x1de8c98c, 0x789aa7e0, 0x1dddace4,
-  0x78a08402, 0x1dd28f15, 0x78a65df6, 0x1dc7701f,
-  0x78ac35ba, 0x1dbc5004, 0x78b20b4f, 0x1db12ec3,
-  0x78b7deb4, 0x1da60c5d, 0x78bdafea, 0x1d9ae8d2,
-  0x78c37eef, 0x1d8fc424, 0x78c94bc4, 0x1d849e51,
-  0x78cf1669, 0x1d79775c, 0x78d4dedd, 0x1d6e4f43,
-  0x78daa520, 0x1d632608, 0x78e06932, 0x1d57fbaa,
-  0x78e62b13, 0x1d4cd02c, 0x78ebeac2, 0x1d41a38c,
-  0x78f1a840, 0x1d3675cb, 0x78f7638b, 0x1d2b46ea,
-  0x78fd1ca4, 0x1d2016e9, 0x7902d38b, 0x1d14e5c9,
-  0x7908883f, 0x1d09b389, 0x790e3ac0, 0x1cfe802b,
-  0x7913eb0e, 0x1cf34baf, 0x79199929, 0x1ce81615,
-  0x791f4510, 0x1cdcdf5e, 0x7924eec3, 0x1cd1a78a,
-  0x792a9642, 0x1cc66e99, 0x79303b8e, 0x1cbb348d,
-  0x7935dea4, 0x1caff965, 0x793b7f86, 0x1ca4bd21,
-  0x79411e33, 0x1c997fc4, 0x7946baac, 0x1c8e414b,
-  0x794c54ee, 0x1c8301b9, 0x7951ecfc, 0x1c77c10e,
-  0x795782d3, 0x1c6c7f4a, 0x795d1675, 0x1c613c6d,
-  0x7962a7e0, 0x1c55f878, 0x79683715, 0x1c4ab36b,
-  0x796dc414, 0x1c3f6d47, 0x79734edc, 0x1c34260c,
-  0x7978d76c, 0x1c28ddbb, 0x797e5dc6, 0x1c1d9454,
-  0x7983e1e8, 0x1c1249d8, 0x798963d2, 0x1c06fe46,
-  0x798ee385, 0x1bfbb1a0, 0x799460ff, 0x1bf063e6,
-  0x7999dc42, 0x1be51518, 0x799f554b, 0x1bd9c537,
-  0x79a4cc1c, 0x1bce7442, 0x79aa40b4, 0x1bc3223c,
-  0x79afb313, 0x1bb7cf23, 0x79b52339, 0x1bac7af9,
-  0x79ba9125, 0x1ba125bd, 0x79bffcd7, 0x1b95cf71,
-  0x79c5664f, 0x1b8a7815, 0x79cacd8d, 0x1b7f1fa9,
-  0x79d03291, 0x1b73c62d, 0x79d5955a, 0x1b686ba3,
-  0x79daf5e8, 0x1b5d100a, 0x79e0543c, 0x1b51b363,
-  0x79e5b054, 0x1b4655ae, 0x79eb0a31, 0x1b3af6ec,
-  0x79f061d2, 0x1b2f971e, 0x79f5b737, 0x1b243643,
-  0x79fb0a60, 0x1b18d45c, 0x7a005b4d, 0x1b0d716a,
-  0x7a05a9fd, 0x1b020d6c, 0x7a0af671, 0x1af6a865,
-  0x7a1040a8, 0x1aeb4253, 0x7a1588a2, 0x1adfdb37,
-  0x7a1ace5f, 0x1ad47312, 0x7a2011de, 0x1ac909e5,
-  0x7a25531f, 0x1abd9faf, 0x7a2a9223, 0x1ab23471,
-  0x7a2fcee8, 0x1aa6c82b, 0x7a350970, 0x1a9b5adf,
-  0x7a3a41b9, 0x1a8fec8c, 0x7a3f77c3, 0x1a847d33,
-  0x7a44ab8e, 0x1a790cd4, 0x7a49dd1a, 0x1a6d9b70,
-  0x7a4f0c67, 0x1a622907, 0x7a543974, 0x1a56b599,
-  0x7a596442, 0x1a4b4128, 0x7a5e8cd0, 0x1a3fcbb3,
-  0x7a63b31d, 0x1a34553b, 0x7a68d72b, 0x1a28ddc0,
-  0x7a6df8f8, 0x1a1d6544, 0x7a731884, 0x1a11ebc5,
-  0x7a7835cf, 0x1a067145, 0x7a7d50da, 0x19faf5c5,
-  0x7a8269a3, 0x19ef7944, 0x7a87802a, 0x19e3fbc3,
-  0x7a8c9470, 0x19d87d42, 0x7a91a674, 0x19ccfdc2,
-  0x7a96b636, 0x19c17d44, 0x7a9bc3b6, 0x19b5fbc8,
-  0x7aa0cef3, 0x19aa794d, 0x7aa5d7ee, 0x199ef5d6,
-  0x7aaadea6, 0x19937161, 0x7aafe31b, 0x1987ebf0,
-  0x7ab4e54c, 0x197c6584, 0x7ab9e53a, 0x1970de1b,
-  0x7abee2e5, 0x196555b8, 0x7ac3de4c, 0x1959cc5a,
-  0x7ac8d76f, 0x194e4201, 0x7acdce4d, 0x1942b6af,
-  0x7ad2c2e8, 0x19372a64, 0x7ad7b53d, 0x192b9d1f,
-  0x7adca54e, 0x19200ee3, 0x7ae1931a, 0x19147fae,
-  0x7ae67ea1, 0x1908ef82, 0x7aeb67e3, 0x18fd5e5f,
-  0x7af04edf, 0x18f1cc45, 0x7af53395, 0x18e63935,
-  0x7afa1605, 0x18daa52f, 0x7afef630, 0x18cf1034,
-  0x7b03d414, 0x18c37a44, 0x7b08afb2, 0x18b7e35f,
-  0x7b0d8909, 0x18ac4b87, 0x7b126019, 0x18a0b2bb,
-  0x7b1734e2, 0x189518fc, 0x7b1c0764, 0x18897e4a,
-  0x7b20d79e, 0x187de2a7, 0x7b25a591, 0x18724611,
-  0x7b2a713d, 0x1866a88a, 0x7b2f3aa0, 0x185b0a13,
-  0x7b3401bb, 0x184f6aab, 0x7b38c68e, 0x1843ca53,
-  0x7b3d8918, 0x1838290c, 0x7b42495a, 0x182c86d5,
-  0x7b470753, 0x1820e3b0, 0x7b4bc303, 0x18153f9d,
-  0x7b507c69, 0x18099a9c, 0x7b553386, 0x17fdf4ae,
-  0x7b59e85a, 0x17f24dd3, 0x7b5e9ae4, 0x17e6a60c,
-  0x7b634b23, 0x17dafd59, 0x7b67f919, 0x17cf53bb,
-  0x7b6ca4c4, 0x17c3a931, 0x7b714e25, 0x17b7fdbd,
-  0x7b75f53c, 0x17ac515f, 0x7b7a9a07, 0x17a0a417,
-  0x7b7f3c87, 0x1794f5e6, 0x7b83dcbc, 0x178946cc,
-  0x7b887aa6, 0x177d96ca, 0x7b8d1644, 0x1771e5e0,
-  0x7b91af97, 0x1766340f, 0x7b96469d, 0x175a8157,
-  0x7b9adb57, 0x174ecdb8, 0x7b9f6dc5, 0x17431933,
-  0x7ba3fde7, 0x173763c9, 0x7ba88bbc, 0x172bad7a,
-  0x7bad1744, 0x171ff646, 0x7bb1a080, 0x17143e2d,
-  0x7bb6276e, 0x17088531, 0x7bbaac0e, 0x16fccb51,
-  0x7bbf2e62, 0x16f1108f, 0x7bc3ae67, 0x16e554ea,
-  0x7bc82c1f, 0x16d99864, 0x7bcca789, 0x16cddafb,
-  0x7bd120a4, 0x16c21cb2, 0x7bd59771, 0x16b65d88,
-  0x7bda0bf0, 0x16aa9d7e, 0x7bde7e20, 0x169edc94,
-  0x7be2ee01, 0x16931acb, 0x7be75b93, 0x16875823,
-  0x7bebc6d5, 0x167b949d, 0x7bf02fc9, 0x166fd039,
-  0x7bf4966c, 0x16640af7, 0x7bf8fac0, 0x165844d8,
-  0x7bfd5cc4, 0x164c7ddd, 0x7c01bc78, 0x1640b606,
-  0x7c0619dc, 0x1634ed53, 0x7c0a74f0, 0x162923c5,
-  0x7c0ecdb2, 0x161d595d, 0x7c132424, 0x16118e1a,
-  0x7c177845, 0x1605c1fd, 0x7c1bca16, 0x15f9f507,
-  0x7c201994, 0x15ee2738, 0x7c2466c2, 0x15e25890,
-  0x7c28b19e, 0x15d68911, 0x7c2cfa28, 0x15cab8ba,
-  0x7c314060, 0x15bee78c, 0x7c358446, 0x15b31587,
-  0x7c39c5da, 0x15a742ac, 0x7c3e051b, 0x159b6efb,
-  0x7c42420a, 0x158f9a76, 0x7c467ca6, 0x1583c51b,
-  0x7c4ab4ef, 0x1577eeec, 0x7c4eeae5, 0x156c17e9,
-  0x7c531e88, 0x15604013, 0x7c574fd8, 0x1554676a,
-  0x7c5b7ed4, 0x15488dee, 0x7c5fab7c, 0x153cb3a0,
-  0x7c63d5d1, 0x1530d881, 0x7c67fdd1, 0x1524fc90,
-  0x7c6c237e, 0x15191fcf, 0x7c7046d6, 0x150d423d,
-  0x7c7467d9, 0x150163dc, 0x7c788688, 0x14f584ac,
-  0x7c7ca2e2, 0x14e9a4ac, 0x7c80bce7, 0x14ddc3de,
-  0x7c84d496, 0x14d1e242, 0x7c88e9f1, 0x14c5ffd9,
-  0x7c8cfcf6, 0x14ba1ca3, 0x7c910da5, 0x14ae38a0,
-  0x7c951bff, 0x14a253d1, 0x7c992803, 0x14966e36,
-  0x7c9d31b0, 0x148a87d1, 0x7ca13908, 0x147ea0a0,
-  0x7ca53e09, 0x1472b8a5, 0x7ca940b3, 0x1466cfe1,
-  0x7cad4107, 0x145ae653, 0x7cb13f04, 0x144efbfc,
-  0x7cb53aaa, 0x144310dd, 0x7cb933f9, 0x143724f5,
-  0x7cbd2af0, 0x142b3846, 0x7cc11f90, 0x141f4ad1,
-  0x7cc511d9, 0x14135c94, 0x7cc901c9, 0x14076d91,
-  0x7cccef62, 0x13fb7dc9, 0x7cd0daa2, 0x13ef8d3c,
-  0x7cd4c38b, 0x13e39be9, 0x7cd8aa1b, 0x13d7a9d3,
-  0x7cdc8e52, 0x13cbb6f8, 0x7ce07031, 0x13bfc35b,
-  0x7ce44fb7, 0x13b3cefa, 0x7ce82ce4, 0x13a7d9d7,
-  0x7cec07b8, 0x139be3f2, 0x7cefe032, 0x138fed4b,
-  0x7cf3b653, 0x1383f5e3, 0x7cf78a1b, 0x1377fdbb,
-  0x7cfb5b89, 0x136c04d2, 0x7cff2a9d, 0x13600b2a,
-  0x7d02f757, 0x135410c3, 0x7d06c1b6, 0x1348159d,
-  0x7d0a89bc, 0x133c19b8, 0x7d0e4f67, 0x13301d16,
-  0x7d1212b7, 0x13241fb6, 0x7d15d3ad, 0x1318219a,
-  0x7d199248, 0x130c22c1, 0x7d1d4e88, 0x1300232c,
-  0x7d21086c, 0x12f422db, 0x7d24bff6, 0x12e821cf,
-  0x7d287523, 0x12dc2009, 0x7d2c27f6, 0x12d01d89,
-  0x7d2fd86c, 0x12c41a4f, 0x7d338687, 0x12b8165b,
-  0x7d373245, 0x12ac11af, 0x7d3adba7, 0x12a00c4b,
-  0x7d3e82ae, 0x1294062f, 0x7d422757, 0x1287ff5b,
-  0x7d45c9a4, 0x127bf7d1, 0x7d496994, 0x126fef90,
-  0x7d4d0728, 0x1263e699, 0x7d50a25e, 0x1257dced,
-  0x7d543b37, 0x124bd28c, 0x7d57d1b3, 0x123fc776,
-  0x7d5b65d2, 0x1233bbac, 0x7d5ef793, 0x1227af2e,
-  0x7d6286f6, 0x121ba1fd, 0x7d6613fb, 0x120f941a,
-  0x7d699ea3, 0x12038584, 0x7d6d26ec, 0x11f7763c,
-  0x7d70acd7, 0x11eb6643, 0x7d743064, 0x11df5599,
-  0x7d77b192, 0x11d3443f, 0x7d7b3061, 0x11c73235,
-  0x7d7eacd2, 0x11bb1f7c, 0x7d8226e4, 0x11af0c13,
-  0x7d859e96, 0x11a2f7fc, 0x7d8913ea, 0x1196e337,
-  0x7d8c86de, 0x118acdc4, 0x7d8ff772, 0x117eb7a4,
-  0x7d9365a8, 0x1172a0d7, 0x7d96d17d, 0x1166895f,
-  0x7d9a3af2, 0x115a713a, 0x7d9da208, 0x114e586a,
-  0x7da106bd, 0x11423ef0, 0x7da46912, 0x113624cb,
-  0x7da7c907, 0x112a09fc, 0x7dab269b, 0x111dee84,
-  0x7dae81cf, 0x1111d263, 0x7db1daa2, 0x1105b599,
-  0x7db53113, 0x10f99827, 0x7db88524, 0x10ed7a0e,
-  0x7dbbd6d4, 0x10e15b4e, 0x7dbf2622, 0x10d53be7,
-  0x7dc2730f, 0x10c91bda, 0x7dc5bd9b, 0x10bcfb28,
-  0x7dc905c5, 0x10b0d9d0, 0x7dcc4b8d, 0x10a4b7d3,
-  0x7dcf8ef3, 0x10989532, 0x7dd2cff7, 0x108c71ee,
-  0x7dd60e99, 0x10804e06, 0x7dd94ad8, 0x1074297b,
-  0x7ddc84b5, 0x1068044e, 0x7ddfbc30, 0x105bde7f,
-  0x7de2f148, 0x104fb80e, 0x7de623fd, 0x104390fd,
-  0x7de9544f, 0x1037694b, 0x7dec823e, 0x102b40f8,
-  0x7defadca, 0x101f1807, 0x7df2d6f3, 0x1012ee76,
-  0x7df5fdb8, 0x1006c446, 0x7df9221a, 0xffa9979,
-  0x7dfc4418, 0xfee6e0d, 0x7dff63b2, 0xfe24205,
-  0x7e0280e9, 0xfd6155f, 0x7e059bbb, 0xfc9e81e,
-  0x7e08b42a, 0xfbdba40, 0x7e0bca34, 0xfb18bc8,
-  0x7e0eddd9, 0xfa55cb4, 0x7e11ef1b, 0xf992d06,
-  0x7e14fdf7, 0xf8cfcbe, 0x7e180a6f, 0xf80cbdc,
-  0x7e1b1482, 0xf749a61, 0x7e1e1c30, 0xf68684e,
-  0x7e212179, 0xf5c35a3, 0x7e24245d, 0xf500260,
-  0x7e2724db, 0xf43ce86, 0x7e2a22f4, 0xf379a16,
-  0x7e2d1ea8, 0xf2b650f, 0x7e3017f6, 0xf1f2f73,
-  0x7e330ede, 0xf12f941, 0x7e360360, 0xf06c27a,
-  0x7e38f57c, 0xefa8b20, 0x7e3be532, 0xeee5331,
-  0x7e3ed282, 0xee21aaf, 0x7e41bd6c, 0xed5e19a,
-  0x7e44a5ef, 0xec9a7f3, 0x7e478c0b, 0xebd6db9,
-  0x7e4a6fc1, 0xeb132ef, 0x7e4d5110, 0xea4f793,
-  0x7e502ff9, 0xe98bba7, 0x7e530c7a, 0xe8c7f2a,
-  0x7e55e694, 0xe80421e, 0x7e58be47, 0xe740483,
-  0x7e5b9392, 0xe67c65a, 0x7e5e6676, 0xe5b87a2,
-  0x7e6136f3, 0xe4f485c, 0x7e640507, 0xe430889,
-  0x7e66d0b4, 0xe36c82a, 0x7e6999fa, 0xe2a873e,
-  0x7e6c60d7, 0xe1e45c6, 0x7e6f254c, 0xe1203c3,
-  0x7e71e759, 0xe05c135, 0x7e74a6fd, 0xdf97e1d,
-  0x7e77643a, 0xded3a7b, 0x7e7a1f0d, 0xde0f64f,
-  0x7e7cd778, 0xdd4b19a, 0x7e7f8d7b, 0xdc86c5d,
-  0x7e824114, 0xdbc2698, 0x7e84f245, 0xdafe04b,
-  0x7e87a10c, 0xda39978, 0x7e8a4d6a, 0xd97521d,
-  0x7e8cf75f, 0xd8b0a3d, 0x7e8f9eeb, 0xd7ec1d6,
-  0x7e92440d, 0xd7278eb, 0x7e94e6c6, 0xd662f7b,
-  0x7e978715, 0xd59e586, 0x7e9a24fb, 0xd4d9b0e,
-  0x7e9cc076, 0xd415013, 0x7e9f5988, 0xd350495,
-  0x7ea1f02f, 0xd28b894, 0x7ea4846c, 0xd1c6c11,
-  0x7ea7163f, 0xd101f0e, 0x7ea9a5a8, 0xd03d189,
-  0x7eac32a6, 0xcf78383, 0x7eaebd3a, 0xceb34fe,
-  0x7eb14563, 0xcdee5f9, 0x7eb3cb21, 0xcd29676,
-  0x7eb64e75, 0xcc64673, 0x7eb8cf5d, 0xcb9f5f3,
-  0x7ebb4ddb, 0xcada4f5, 0x7ebdc9ed, 0xca1537a,
-  0x7ec04394, 0xc950182, 0x7ec2bad0, 0xc88af0e,
-  0x7ec52fa0, 0xc7c5c1e, 0x7ec7a205, 0xc7008b3,
-  0x7eca11fe, 0xc63b4ce, 0x7ecc7f8b, 0xc57606e,
-  0x7eceeaad, 0xc4b0b94, 0x7ed15363, 0xc3eb641,
-  0x7ed3b9ad, 0xc326075, 0x7ed61d8a, 0xc260a31,
-  0x7ed87efc, 0xc19b374, 0x7edade01, 0xc0d5c41,
-  0x7edd3a9a, 0xc010496, 0x7edf94c7, 0xbf4ac75,
-  0x7ee1ec87, 0xbe853de, 0x7ee441da, 0xbdbfad1,
-  0x7ee694c1, 0xbcfa150, 0x7ee8e53a, 0xbc34759,
-  0x7eeb3347, 0xbb6ecef, 0x7eed7ee7, 0xbaa9211,
-  0x7eefc81a, 0xb9e36c0, 0x7ef20ee0, 0xb91dafc,
-  0x7ef45338, 0xb857ec7, 0x7ef69523, 0xb79221f,
-  0x7ef8d4a1, 0xb6cc506, 0x7efb11b1, 0xb60677c,
-  0x7efd4c54, 0xb540982, 0x7eff8489, 0xb47ab19,
-  0x7f01ba50, 0xb3b4c40, 0x7f03eda9, 0xb2eecf8,
-  0x7f061e95, 0xb228d42, 0x7f084d12, 0xb162d1d,
-  0x7f0a7921, 0xb09cc8c, 0x7f0ca2c2, 0xafd6b8d,
-  0x7f0ec9f5, 0xaf10a22, 0x7f10eeb9, 0xae4a84b,
-  0x7f13110f, 0xad84609, 0x7f1530f7, 0xacbe35b,
-  0x7f174e70, 0xabf8043, 0x7f19697a, 0xab31cc1,
-  0x7f1b8215, 0xaa6b8d5, 0x7f1d9842, 0xa9a5480,
-  0x7f1fabff, 0xa8defc3, 0x7f21bd4e, 0xa818a9d,
-  0x7f23cc2e, 0xa752510, 0x7f25d89e, 0xa68bf1b,
-  0x7f27e29f, 0xa5c58c0, 0x7f29ea31, 0xa4ff1fe,
-  0x7f2bef53, 0xa438ad7, 0x7f2df206, 0xa37234a,
-  0x7f2ff24a, 0xa2abb59, 0x7f31f01d, 0xa1e5303,
-  0x7f33eb81, 0xa11ea49, 0x7f35e476, 0xa05812c,
-  0x7f37dafa, 0x9f917ac, 0x7f39cf0e, 0x9ecadc9,
-  0x7f3bc0b3, 0x9e04385, 0x7f3dafe7, 0x9d3d8df,
-  0x7f3f9cab, 0x9c76dd8, 0x7f4186ff, 0x9bb0271,
-  0x7f436ee3, 0x9ae96aa, 0x7f455456, 0x9a22a83,
-  0x7f473759, 0x995bdfd, 0x7f4917eb, 0x9895118,
-  0x7f4af60d, 0x97ce3d5, 0x7f4cd1be, 0x9707635,
-  0x7f4eaafe, 0x9640837, 0x7f5081cd, 0x95799dd,
-  0x7f52562c, 0x94b2b27, 0x7f54281a, 0x93ebc14,
-  0x7f55f796, 0x9324ca7, 0x7f57c4a2, 0x925dcdf,
-  0x7f598f3c, 0x9196cbc, 0x7f5b5765, 0x90cfc40,
-  0x7f5d1d1d, 0x9008b6a, 0x7f5ee063, 0x8f41a3c,
-  0x7f60a138, 0x8e7a8b5, 0x7f625f9b, 0x8db36d6,
-  0x7f641b8d, 0x8cec4a0, 0x7f65d50d, 0x8c25213,
-  0x7f678c1c, 0x8b5df30, 0x7f6940b8, 0x8a96bf6,
-  0x7f6af2e3, 0x89cf867, 0x7f6ca29c, 0x8908483,
-  0x7f6e4fe3, 0x884104b, 0x7f6ffab8, 0x8779bbe,
-  0x7f71a31b, 0x86b26de, 0x7f73490b, 0x85eb1ab,
-  0x7f74ec8a, 0x8523c25, 0x7f768d96, 0x845c64d,
-  0x7f782c30, 0x8395024, 0x7f79c857, 0x82cd9a9,
-  0x7f7b620c, 0x82062de, 0x7f7cf94e, 0x813ebc2,
-  0x7f7e8e1e, 0x8077457, 0x7f80207b, 0x7fafc9c,
-  0x7f81b065, 0x7ee8493, 0x7f833ddd, 0x7e20c3b,
-  0x7f84c8e2, 0x7d59396, 0x7f865174, 0x7c91aa3,
-  0x7f87d792, 0x7bca163, 0x7f895b3e, 0x7b027d7,
-  0x7f8adc77, 0x7a3adff, 0x7f8c5b3d, 0x79733dc,
-  0x7f8dd78f, 0x78ab96e, 0x7f8f516e, 0x77e3eb5,
-  0x7f90c8da, 0x771c3b3, 0x7f923dd2, 0x7654867,
-  0x7f93b058, 0x758ccd2, 0x7f952069, 0x74c50f4,
-  0x7f968e07, 0x73fd4cf, 0x7f97f932, 0x7335862,
-  0x7f9961e8, 0x726dbae, 0x7f9ac82c, 0x71a5eb3,
-  0x7f9c2bfb, 0x70de172, 0x7f9d8d56, 0x70163eb,
-  0x7f9eec3e, 0x6f4e620, 0x7fa048b2, 0x6e86810,
-  0x7fa1a2b2, 0x6dbe9bb, 0x7fa2fa3d, 0x6cf6b23,
-  0x7fa44f55, 0x6c2ec48, 0x7fa5a1f9, 0x6b66d29,
-  0x7fa6f228, 0x6a9edc9, 0x7fa83fe3, 0x69d6e27,
-  0x7fa98b2a, 0x690ee44, 0x7faad3fd, 0x6846e1f,
-  0x7fac1a5b, 0x677edbb, 0x7fad5e45, 0x66b6d16,
-  0x7fae9fbb, 0x65eec33, 0x7fafdebb, 0x6526b10,
-  0x7fb11b48, 0x645e9af, 0x7fb2555f, 0x6396810,
-  0x7fb38d02, 0x62ce634, 0x7fb4c231, 0x620641a,
-  0x7fb5f4ea, 0x613e1c5, 0x7fb7252f, 0x6075f33,
-  0x7fb852ff, 0x5fadc66, 0x7fb97e5a, 0x5ee595d,
-  0x7fbaa740, 0x5e1d61b, 0x7fbbcdb1, 0x5d5529e,
-  0x7fbcf1ad, 0x5c8cee7, 0x7fbe1334, 0x5bc4af8,
-  0x7fbf3246, 0x5afc6d0, 0x7fc04ee3, 0x5a3426f,
-  0x7fc1690a, 0x596bdd7, 0x7fc280bc, 0x58a3908,
-  0x7fc395f9, 0x57db403, 0x7fc4a8c1, 0x5712ec7,
-  0x7fc5b913, 0x564a955, 0x7fc6c6f0, 0x55823ae,
-  0x7fc7d258, 0x54b9dd3, 0x7fc8db4a, 0x53f17c3,
-  0x7fc9e1c6, 0x532917f, 0x7fcae5cd, 0x5260b08,
-  0x7fcbe75e, 0x519845e, 0x7fcce67a, 0x50cfd82,
-  0x7fcde320, 0x5007674, 0x7fcedd50, 0x4f3ef35,
-  0x7fcfd50b, 0x4e767c5, 0x7fd0ca4f, 0x4dae024,
-  0x7fd1bd1e, 0x4ce5854, 0x7fd2ad77, 0x4c1d054,
-  0x7fd39b5a, 0x4b54825, 0x7fd486c7, 0x4a8bfc7,
-  0x7fd56fbe, 0x49c373c, 0x7fd6563f, 0x48fae83,
-  0x7fd73a4a, 0x483259d, 0x7fd81bdf, 0x4769c8b,
-  0x7fd8fafe, 0x46a134c, 0x7fd9d7a7, 0x45d89e2,
-  0x7fdab1d9, 0x451004d, 0x7fdb8996, 0x444768d,
-  0x7fdc5edc, 0x437eca4, 0x7fdd31ac, 0x42b6290,
-  0x7fde0205, 0x41ed854, 0x7fdecfe8, 0x4124dee,
-  0x7fdf9b55, 0x405c361, 0x7fe0644b, 0x3f938ac,
-  0x7fe12acb, 0x3ecadcf, 0x7fe1eed5, 0x3e022cc,
-  0x7fe2b067, 0x3d397a3, 0x7fe36f84, 0x3c70c54,
-  0x7fe42c2a, 0x3ba80df, 0x7fe4e659, 0x3adf546,
-  0x7fe59e12, 0x3a16988, 0x7fe65354, 0x394dda7,
-  0x7fe7061f, 0x38851a2, 0x7fe7b674, 0x37bc57b,
-  0x7fe86452, 0x36f3931, 0x7fe90fb9, 0x362acc5,
-  0x7fe9b8a9, 0x3562038, 0x7fea5f23, 0x3499389,
-  0x7feb0326, 0x33d06bb, 0x7feba4b2, 0x33079cc,
-  0x7fec43c7, 0x323ecbe, 0x7fece065, 0x3175f91,
-  0x7fed7a8c, 0x30ad245, 0x7fee123d, 0x2fe44dc,
-  0x7feea776, 0x2f1b755, 0x7fef3a39, 0x2e529b0,
-  0x7fefca84, 0x2d89bf0, 0x7ff05858, 0x2cc0e13,
-  0x7ff0e3b6, 0x2bf801a, 0x7ff16c9c, 0x2b2f207,
-  0x7ff1f30b, 0x2a663d8, 0x7ff27703, 0x299d590,
-  0x7ff2f884, 0x28d472e, 0x7ff3778e, 0x280b8b3,
-  0x7ff3f420, 0x2742a1f, 0x7ff46e3c, 0x2679b73,
-  0x7ff4e5e0, 0x25b0caf, 0x7ff55b0d, 0x24e7dd4,
-  0x7ff5cdc3, 0x241eee2, 0x7ff63e01, 0x2355fd9,
-  0x7ff6abc8, 0x228d0bb, 0x7ff71718, 0x21c4188,
-  0x7ff77ff1, 0x20fb240, 0x7ff7e652, 0x20322e3,
-  0x7ff84a3c, 0x1f69373, 0x7ff8abae, 0x1ea03ef,
-  0x7ff90aaa, 0x1dd7459, 0x7ff9672d, 0x1d0e4b0,
-  0x7ff9c13a, 0x1c454f5, 0x7ffa18cf, 0x1b7c528,
-  0x7ffa6dec, 0x1ab354b, 0x7ffac092, 0x19ea55d,
-  0x7ffb10c1, 0x192155f, 0x7ffb5e78, 0x1858552,
-  0x7ffba9b8, 0x178f536, 0x7ffbf280, 0x16c650b,
-  0x7ffc38d1, 0x15fd4d2, 0x7ffc7caa, 0x153448c,
-  0x7ffcbe0c, 0x146b438, 0x7ffcfcf6, 0x13a23d8,
-  0x7ffd3969, 0x12d936c, 0x7ffd7364, 0x12102f4,
-  0x7ffdaae7, 0x1147271, 0x7ffddff3, 0x107e1e3,
-  0x7ffe1288, 0xfb514b, 0x7ffe42a4, 0xeec0aa,
-  0x7ffe704a, 0xe22fff, 0x7ffe9b77, 0xd59f4c,
-  0x7ffec42d, 0xc90e90, 0x7ffeea6c, 0xbc7dcc,
-  0x7fff0e32, 0xafed02, 0x7fff2f82, 0xa35c30,
-  0x7fff4e59, 0x96cb58, 0x7fff6ab9, 0x8a3a7b,
-  0x7fff84a1, 0x7da998, 0x7fff9c12, 0x7118b0,
-  0x7fffb10b, 0x6487c4, 0x7fffc38c, 0x57f6d4,
-  0x7fffd396, 0x4b65e1, 0x7fffe128, 0x3ed4ea,
-  0x7fffec43, 0x3243f1, 0x7ffff4e6, 0x25b2f7,
-  0x7ffffb11, 0x1921fb, 0x7ffffec4, 0xc90fe,
-  0x7fffffff, 0x0, 0x7ffffec4, 0xfff36f02,
-  0x7ffffb11, 0xffe6de05, 0x7ffff4e6, 0xffda4d09,
-  0x7fffec43, 0xffcdbc0f, 0x7fffe128, 0xffc12b16,
-  0x7fffd396, 0xffb49a1f, 0x7fffc38c, 0xffa8092c,
-  0x7fffb10b, 0xff9b783c, 0x7fff9c12, 0xff8ee750,
-  0x7fff84a1, 0xff825668, 0x7fff6ab9, 0xff75c585,
-  0x7fff4e59, 0xff6934a8, 0x7fff2f82, 0xff5ca3d0,
-  0x7fff0e32, 0xff5012fe, 0x7ffeea6c, 0xff438234,
-  0x7ffec42d, 0xff36f170, 0x7ffe9b77, 0xff2a60b4,
-  0x7ffe704a, 0xff1dd001, 0x7ffe42a4, 0xff113f56,
-  0x7ffe1288, 0xff04aeb5, 0x7ffddff3, 0xfef81e1d,
-  0x7ffdaae7, 0xfeeb8d8f, 0x7ffd7364, 0xfedefd0c,
-  0x7ffd3969, 0xfed26c94, 0x7ffcfcf6, 0xfec5dc28,
-  0x7ffcbe0c, 0xfeb94bc8, 0x7ffc7caa, 0xfeacbb74,
-  0x7ffc38d1, 0xfea02b2e, 0x7ffbf280, 0xfe939af5,
-  0x7ffba9b8, 0xfe870aca, 0x7ffb5e78, 0xfe7a7aae,
-  0x7ffb10c1, 0xfe6deaa1, 0x7ffac092, 0xfe615aa3,
-  0x7ffa6dec, 0xfe54cab5, 0x7ffa18cf, 0xfe483ad8,
-  0x7ff9c13a, 0xfe3bab0b, 0x7ff9672d, 0xfe2f1b50,
-  0x7ff90aaa, 0xfe228ba7, 0x7ff8abae, 0xfe15fc11,
-  0x7ff84a3c, 0xfe096c8d, 0x7ff7e652, 0xfdfcdd1d,
-  0x7ff77ff1, 0xfdf04dc0, 0x7ff71718, 0xfde3be78,
-  0x7ff6abc8, 0xfdd72f45, 0x7ff63e01, 0xfdcaa027,
-  0x7ff5cdc3, 0xfdbe111e, 0x7ff55b0d, 0xfdb1822c,
-  0x7ff4e5e0, 0xfda4f351, 0x7ff46e3c, 0xfd98648d,
-  0x7ff3f420, 0xfd8bd5e1, 0x7ff3778e, 0xfd7f474d,
-  0x7ff2f884, 0xfd72b8d2, 0x7ff27703, 0xfd662a70,
-  0x7ff1f30b, 0xfd599c28, 0x7ff16c9c, 0xfd4d0df9,
-  0x7ff0e3b6, 0xfd407fe6, 0x7ff05858, 0xfd33f1ed,
-  0x7fefca84, 0xfd276410, 0x7fef3a39, 0xfd1ad650,
-  0x7feea776, 0xfd0e48ab, 0x7fee123d, 0xfd01bb24,
-  0x7fed7a8c, 0xfcf52dbb, 0x7fece065, 0xfce8a06f,
-  0x7fec43c7, 0xfcdc1342, 0x7feba4b2, 0xfccf8634,
-  0x7feb0326, 0xfcc2f945, 0x7fea5f23, 0xfcb66c77,
-  0x7fe9b8a9, 0xfca9dfc8, 0x7fe90fb9, 0xfc9d533b,
-  0x7fe86452, 0xfc90c6cf, 0x7fe7b674, 0xfc843a85,
-  0x7fe7061f, 0xfc77ae5e, 0x7fe65354, 0xfc6b2259,
-  0x7fe59e12, 0xfc5e9678, 0x7fe4e659, 0xfc520aba,
-  0x7fe42c2a, 0xfc457f21, 0x7fe36f84, 0xfc38f3ac,
-  0x7fe2b067, 0xfc2c685d, 0x7fe1eed5, 0xfc1fdd34,
-  0x7fe12acb, 0xfc135231, 0x7fe0644b, 0xfc06c754,
-  0x7fdf9b55, 0xfbfa3c9f, 0x7fdecfe8, 0xfbedb212,
-  0x7fde0205, 0xfbe127ac, 0x7fdd31ac, 0xfbd49d70,
-  0x7fdc5edc, 0xfbc8135c, 0x7fdb8996, 0xfbbb8973,
-  0x7fdab1d9, 0xfbaeffb3, 0x7fd9d7a7, 0xfba2761e,
-  0x7fd8fafe, 0xfb95ecb4, 0x7fd81bdf, 0xfb896375,
-  0x7fd73a4a, 0xfb7cda63, 0x7fd6563f, 0xfb70517d,
-  0x7fd56fbe, 0xfb63c8c4, 0x7fd486c7, 0xfb574039,
-  0x7fd39b5a, 0xfb4ab7db, 0x7fd2ad77, 0xfb3e2fac,
-  0x7fd1bd1e, 0xfb31a7ac, 0x7fd0ca4f, 0xfb251fdc,
-  0x7fcfd50b, 0xfb18983b, 0x7fcedd50, 0xfb0c10cb,
-  0x7fcde320, 0xfaff898c, 0x7fcce67a, 0xfaf3027e,
-  0x7fcbe75e, 0xfae67ba2, 0x7fcae5cd, 0xfad9f4f8,
-  0x7fc9e1c6, 0xfacd6e81, 0x7fc8db4a, 0xfac0e83d,
-  0x7fc7d258, 0xfab4622d, 0x7fc6c6f0, 0xfaa7dc52,
-  0x7fc5b913, 0xfa9b56ab, 0x7fc4a8c1, 0xfa8ed139,
-  0x7fc395f9, 0xfa824bfd, 0x7fc280bc, 0xfa75c6f8,
-  0x7fc1690a, 0xfa694229, 0x7fc04ee3, 0xfa5cbd91,
-  0x7fbf3246, 0xfa503930, 0x7fbe1334, 0xfa43b508,
-  0x7fbcf1ad, 0xfa373119, 0x7fbbcdb1, 0xfa2aad62,
-  0x7fbaa740, 0xfa1e29e5, 0x7fb97e5a, 0xfa11a6a3,
-  0x7fb852ff, 0xfa05239a, 0x7fb7252f, 0xf9f8a0cd,
-  0x7fb5f4ea, 0xf9ec1e3b, 0x7fb4c231, 0xf9df9be6,
-  0x7fb38d02, 0xf9d319cc, 0x7fb2555f, 0xf9c697f0,
-  0x7fb11b48, 0xf9ba1651, 0x7fafdebb, 0xf9ad94f0,
-  0x7fae9fbb, 0xf9a113cd, 0x7fad5e45, 0xf99492ea,
-  0x7fac1a5b, 0xf9881245, 0x7faad3fd, 0xf97b91e1,
-  0x7fa98b2a, 0xf96f11bc, 0x7fa83fe3, 0xf96291d9,
-  0x7fa6f228, 0xf9561237, 0x7fa5a1f9, 0xf94992d7,
-  0x7fa44f55, 0xf93d13b8, 0x7fa2fa3d, 0xf93094dd,
-  0x7fa1a2b2, 0xf9241645, 0x7fa048b2, 0xf91797f0,
-  0x7f9eec3e, 0xf90b19e0, 0x7f9d8d56, 0xf8fe9c15,
-  0x7f9c2bfb, 0xf8f21e8e, 0x7f9ac82c, 0xf8e5a14d,
-  0x7f9961e8, 0xf8d92452, 0x7f97f932, 0xf8cca79e,
-  0x7f968e07, 0xf8c02b31, 0x7f952069, 0xf8b3af0c,
-  0x7f93b058, 0xf8a7332e, 0x7f923dd2, 0xf89ab799,
-  0x7f90c8da, 0xf88e3c4d, 0x7f8f516e, 0xf881c14b,
-  0x7f8dd78f, 0xf8754692, 0x7f8c5b3d, 0xf868cc24,
-  0x7f8adc77, 0xf85c5201, 0x7f895b3e, 0xf84fd829,
-  0x7f87d792, 0xf8435e9d, 0x7f865174, 0xf836e55d,
-  0x7f84c8e2, 0xf82a6c6a, 0x7f833ddd, 0xf81df3c5,
-  0x7f81b065, 0xf8117b6d, 0x7f80207b, 0xf8050364,
-  0x7f7e8e1e, 0xf7f88ba9, 0x7f7cf94e, 0xf7ec143e,
-  0x7f7b620c, 0xf7df9d22, 0x7f79c857, 0xf7d32657,
-  0x7f782c30, 0xf7c6afdc, 0x7f768d96, 0xf7ba39b3,
-  0x7f74ec8a, 0xf7adc3db, 0x7f73490b, 0xf7a14e55,
-  0x7f71a31b, 0xf794d922, 0x7f6ffab8, 0xf7886442,
-  0x7f6e4fe3, 0xf77befb5, 0x7f6ca29c, 0xf76f7b7d,
-  0x7f6af2e3, 0xf7630799, 0x7f6940b8, 0xf756940a,
-  0x7f678c1c, 0xf74a20d0, 0x7f65d50d, 0xf73daded,
-  0x7f641b8d, 0xf7313b60, 0x7f625f9b, 0xf724c92a,
-  0x7f60a138, 0xf718574b, 0x7f5ee063, 0xf70be5c4,
-  0x7f5d1d1d, 0xf6ff7496, 0x7f5b5765, 0xf6f303c0,
-  0x7f598f3c, 0xf6e69344, 0x7f57c4a2, 0xf6da2321,
-  0x7f55f796, 0xf6cdb359, 0x7f54281a, 0xf6c143ec,
-  0x7f52562c, 0xf6b4d4d9, 0x7f5081cd, 0xf6a86623,
-  0x7f4eaafe, 0xf69bf7c9, 0x7f4cd1be, 0xf68f89cb,
-  0x7f4af60d, 0xf6831c2b, 0x7f4917eb, 0xf676aee8,
-  0x7f473759, 0xf66a4203, 0x7f455456, 0xf65dd57d,
-  0x7f436ee3, 0xf6516956, 0x7f4186ff, 0xf644fd8f,
-  0x7f3f9cab, 0xf6389228, 0x7f3dafe7, 0xf62c2721,
-  0x7f3bc0b3, 0xf61fbc7b, 0x7f39cf0e, 0xf6135237,
-  0x7f37dafa, 0xf606e854, 0x7f35e476, 0xf5fa7ed4,
-  0x7f33eb81, 0xf5ee15b7, 0x7f31f01d, 0xf5e1acfd,
-  0x7f2ff24a, 0xf5d544a7, 0x7f2df206, 0xf5c8dcb6,
-  0x7f2bef53, 0xf5bc7529, 0x7f29ea31, 0xf5b00e02,
-  0x7f27e29f, 0xf5a3a740, 0x7f25d89e, 0xf59740e5,
-  0x7f23cc2e, 0xf58adaf0, 0x7f21bd4e, 0xf57e7563,
-  0x7f1fabff, 0xf572103d, 0x7f1d9842, 0xf565ab80,
-  0x7f1b8215, 0xf559472b, 0x7f19697a, 0xf54ce33f,
-  0x7f174e70, 0xf5407fbd, 0x7f1530f7, 0xf5341ca5,
-  0x7f13110f, 0xf527b9f7, 0x7f10eeb9, 0xf51b57b5,
-  0x7f0ec9f5, 0xf50ef5de, 0x7f0ca2c2, 0xf5029473,
-  0x7f0a7921, 0xf4f63374, 0x7f084d12, 0xf4e9d2e3,
-  0x7f061e95, 0xf4dd72be, 0x7f03eda9, 0xf4d11308,
-  0x7f01ba50, 0xf4c4b3c0, 0x7eff8489, 0xf4b854e7,
-  0x7efd4c54, 0xf4abf67e, 0x7efb11b1, 0xf49f9884,
-  0x7ef8d4a1, 0xf4933afa, 0x7ef69523, 0xf486dde1,
-  0x7ef45338, 0xf47a8139, 0x7ef20ee0, 0xf46e2504,
-  0x7eefc81a, 0xf461c940, 0x7eed7ee7, 0xf4556def,
-  0x7eeb3347, 0xf4491311, 0x7ee8e53a, 0xf43cb8a7,
-  0x7ee694c1, 0xf4305eb0, 0x7ee441da, 0xf424052f,
-  0x7ee1ec87, 0xf417ac22, 0x7edf94c7, 0xf40b538b,
-  0x7edd3a9a, 0xf3fefb6a, 0x7edade01, 0xf3f2a3bf,
-  0x7ed87efc, 0xf3e64c8c, 0x7ed61d8a, 0xf3d9f5cf,
-  0x7ed3b9ad, 0xf3cd9f8b, 0x7ed15363, 0xf3c149bf,
-  0x7eceeaad, 0xf3b4f46c, 0x7ecc7f8b, 0xf3a89f92,
-  0x7eca11fe, 0xf39c4b32, 0x7ec7a205, 0xf38ff74d,
-  0x7ec52fa0, 0xf383a3e2, 0x7ec2bad0, 0xf37750f2,
-  0x7ec04394, 0xf36afe7e, 0x7ebdc9ed, 0xf35eac86,
-  0x7ebb4ddb, 0xf3525b0b, 0x7eb8cf5d, 0xf3460a0d,
-  0x7eb64e75, 0xf339b98d, 0x7eb3cb21, 0xf32d698a,
-  0x7eb14563, 0xf3211a07, 0x7eaebd3a, 0xf314cb02,
-  0x7eac32a6, 0xf3087c7d, 0x7ea9a5a8, 0xf2fc2e77,
-  0x7ea7163f, 0xf2efe0f2, 0x7ea4846c, 0xf2e393ef,
-  0x7ea1f02f, 0xf2d7476c, 0x7e9f5988, 0xf2cafb6b,
-  0x7e9cc076, 0xf2beafed, 0x7e9a24fb, 0xf2b264f2,
-  0x7e978715, 0xf2a61a7a, 0x7e94e6c6, 0xf299d085,
-  0x7e92440d, 0xf28d8715, 0x7e8f9eeb, 0xf2813e2a,
-  0x7e8cf75f, 0xf274f5c3, 0x7e8a4d6a, 0xf268ade3,
-  0x7e87a10c, 0xf25c6688, 0x7e84f245, 0xf2501fb5,
-  0x7e824114, 0xf243d968, 0x7e7f8d7b, 0xf23793a3,
-  0x7e7cd778, 0xf22b4e66, 0x7e7a1f0d, 0xf21f09b1,
-  0x7e77643a, 0xf212c585, 0x7e74a6fd, 0xf20681e3,
-  0x7e71e759, 0xf1fa3ecb, 0x7e6f254c, 0xf1edfc3d,
-  0x7e6c60d7, 0xf1e1ba3a, 0x7e6999fa, 0xf1d578c2,
-  0x7e66d0b4, 0xf1c937d6, 0x7e640507, 0xf1bcf777,
-  0x7e6136f3, 0xf1b0b7a4, 0x7e5e6676, 0xf1a4785e,
-  0x7e5b9392, 0xf19839a6, 0x7e58be47, 0xf18bfb7d,
-  0x7e55e694, 0xf17fbde2, 0x7e530c7a, 0xf17380d6,
-  0x7e502ff9, 0xf1674459, 0x7e4d5110, 0xf15b086d,
-  0x7e4a6fc1, 0xf14ecd11, 0x7e478c0b, 0xf1429247,
-  0x7e44a5ef, 0xf136580d, 0x7e41bd6c, 0xf12a1e66,
-  0x7e3ed282, 0xf11de551, 0x7e3be532, 0xf111accf,
-  0x7e38f57c, 0xf10574e0, 0x7e360360, 0xf0f93d86,
-  0x7e330ede, 0xf0ed06bf, 0x7e3017f6, 0xf0e0d08d,
-  0x7e2d1ea8, 0xf0d49af1, 0x7e2a22f4, 0xf0c865ea,
-  0x7e2724db, 0xf0bc317a, 0x7e24245d, 0xf0affda0,
-  0x7e212179, 0xf0a3ca5d, 0x7e1e1c30, 0xf09797b2,
-  0x7e1b1482, 0xf08b659f, 0x7e180a6f, 0xf07f3424,
-  0x7e14fdf7, 0xf0730342, 0x7e11ef1b, 0xf066d2fa,
-  0x7e0eddd9, 0xf05aa34c, 0x7e0bca34, 0xf04e7438,
-  0x7e08b42a, 0xf04245c0, 0x7e059bbb, 0xf03617e2,
-  0x7e0280e9, 0xf029eaa1, 0x7dff63b2, 0xf01dbdfb,
-  0x7dfc4418, 0xf01191f3, 0x7df9221a, 0xf0056687,
-  0x7df5fdb8, 0xeff93bba, 0x7df2d6f3, 0xefed118a,
-  0x7defadca, 0xefe0e7f9, 0x7dec823e, 0xefd4bf08,
-  0x7de9544f, 0xefc896b5, 0x7de623fd, 0xefbc6f03,
-  0x7de2f148, 0xefb047f2, 0x7ddfbc30, 0xefa42181,
-  0x7ddc84b5, 0xef97fbb2, 0x7dd94ad8, 0xef8bd685,
-  0x7dd60e99, 0xef7fb1fa, 0x7dd2cff7, 0xef738e12,
-  0x7dcf8ef3, 0xef676ace, 0x7dcc4b8d, 0xef5b482d,
-  0x7dc905c5, 0xef4f2630, 0x7dc5bd9b, 0xef4304d8,
-  0x7dc2730f, 0xef36e426, 0x7dbf2622, 0xef2ac419,
-  0x7dbbd6d4, 0xef1ea4b2, 0x7db88524, 0xef1285f2,
-  0x7db53113, 0xef0667d9, 0x7db1daa2, 0xeefa4a67,
-  0x7dae81cf, 0xeeee2d9d, 0x7dab269b, 0xeee2117c,
-  0x7da7c907, 0xeed5f604, 0x7da46912, 0xeec9db35,
-  0x7da106bd, 0xeebdc110, 0x7d9da208, 0xeeb1a796,
-  0x7d9a3af2, 0xeea58ec6, 0x7d96d17d, 0xee9976a1,
-  0x7d9365a8, 0xee8d5f29, 0x7d8ff772, 0xee81485c,
-  0x7d8c86de, 0xee75323c, 0x7d8913ea, 0xee691cc9,
-  0x7d859e96, 0xee5d0804, 0x7d8226e4, 0xee50f3ed,
-  0x7d7eacd2, 0xee44e084, 0x7d7b3061, 0xee38cdcb,
-  0x7d77b192, 0xee2cbbc1, 0x7d743064, 0xee20aa67,
-  0x7d70acd7, 0xee1499bd, 0x7d6d26ec, 0xee0889c4,
-  0x7d699ea3, 0xedfc7a7c, 0x7d6613fb, 0xedf06be6,
-  0x7d6286f6, 0xede45e03, 0x7d5ef793, 0xedd850d2,
-  0x7d5b65d2, 0xedcc4454, 0x7d57d1b3, 0xedc0388a,
-  0x7d543b37, 0xedb42d74, 0x7d50a25e, 0xeda82313,
-  0x7d4d0728, 0xed9c1967, 0x7d496994, 0xed901070,
-  0x7d45c9a4, 0xed84082f, 0x7d422757, 0xed7800a5,
-  0x7d3e82ae, 0xed6bf9d1, 0x7d3adba7, 0xed5ff3b5,
-  0x7d373245, 0xed53ee51, 0x7d338687, 0xed47e9a5,
-  0x7d2fd86c, 0xed3be5b1, 0x7d2c27f6, 0xed2fe277,
-  0x7d287523, 0xed23dff7, 0x7d24bff6, 0xed17de31,
-  0x7d21086c, 0xed0bdd25, 0x7d1d4e88, 0xecffdcd4,
-  0x7d199248, 0xecf3dd3f, 0x7d15d3ad, 0xece7de66,
-  0x7d1212b7, 0xecdbe04a, 0x7d0e4f67, 0xeccfe2ea,
-  0x7d0a89bc, 0xecc3e648, 0x7d06c1b6, 0xecb7ea63,
-  0x7d02f757, 0xecabef3d, 0x7cff2a9d, 0xec9ff4d6,
-  0x7cfb5b89, 0xec93fb2e, 0x7cf78a1b, 0xec880245,
-  0x7cf3b653, 0xec7c0a1d, 0x7cefe032, 0xec7012b5,
-  0x7cec07b8, 0xec641c0e, 0x7ce82ce4, 0xec582629,
-  0x7ce44fb7, 0xec4c3106, 0x7ce07031, 0xec403ca5,
-  0x7cdc8e52, 0xec344908, 0x7cd8aa1b, 0xec28562d,
-  0x7cd4c38b, 0xec1c6417, 0x7cd0daa2, 0xec1072c4,
-  0x7cccef62, 0xec048237, 0x7cc901c9, 0xebf8926f,
-  0x7cc511d9, 0xebeca36c, 0x7cc11f90, 0xebe0b52f,
-  0x7cbd2af0, 0xebd4c7ba, 0x7cb933f9, 0xebc8db0b,
-  0x7cb53aaa, 0xebbcef23, 0x7cb13f04, 0xebb10404,
-  0x7cad4107, 0xeba519ad, 0x7ca940b3, 0xeb99301f,
-  0x7ca53e09, 0xeb8d475b, 0x7ca13908, 0xeb815f60,
-  0x7c9d31b0, 0xeb75782f, 0x7c992803, 0xeb6991ca,
-  0x7c951bff, 0xeb5dac2f, 0x7c910da5, 0xeb51c760,
-  0x7c8cfcf6, 0xeb45e35d, 0x7c88e9f1, 0xeb3a0027,
-  0x7c84d496, 0xeb2e1dbe, 0x7c80bce7, 0xeb223c22,
-  0x7c7ca2e2, 0xeb165b54, 0x7c788688, 0xeb0a7b54,
-  0x7c7467d9, 0xeafe9c24, 0x7c7046d6, 0xeaf2bdc3,
-  0x7c6c237e, 0xeae6e031, 0x7c67fdd1, 0xeadb0370,
-  0x7c63d5d1, 0xeacf277f, 0x7c5fab7c, 0xeac34c60,
-  0x7c5b7ed4, 0xeab77212, 0x7c574fd8, 0xeaab9896,
-  0x7c531e88, 0xea9fbfed, 0x7c4eeae5, 0xea93e817,
-  0x7c4ab4ef, 0xea881114, 0x7c467ca6, 0xea7c3ae5,
-  0x7c42420a, 0xea70658a, 0x7c3e051b, 0xea649105,
-  0x7c39c5da, 0xea58bd54, 0x7c358446, 0xea4cea79,
-  0x7c314060, 0xea411874, 0x7c2cfa28, 0xea354746,
-  0x7c28b19e, 0xea2976ef, 0x7c2466c2, 0xea1da770,
-  0x7c201994, 0xea11d8c8, 0x7c1bca16, 0xea060af9,
-  0x7c177845, 0xe9fa3e03, 0x7c132424, 0xe9ee71e6,
-  0x7c0ecdb2, 0xe9e2a6a3, 0x7c0a74f0, 0xe9d6dc3b,
-  0x7c0619dc, 0xe9cb12ad, 0x7c01bc78, 0xe9bf49fa,
-  0x7bfd5cc4, 0xe9b38223, 0x7bf8fac0, 0xe9a7bb28,
-  0x7bf4966c, 0xe99bf509, 0x7bf02fc9, 0xe9902fc7,
-  0x7bebc6d5, 0xe9846b63, 0x7be75b93, 0xe978a7dd,
-  0x7be2ee01, 0xe96ce535, 0x7bde7e20, 0xe961236c,
-  0x7bda0bf0, 0xe9556282, 0x7bd59771, 0xe949a278,
-  0x7bd120a4, 0xe93de34e, 0x7bcca789, 0xe9322505,
-  0x7bc82c1f, 0xe926679c, 0x7bc3ae67, 0xe91aab16,
-  0x7bbf2e62, 0xe90eef71, 0x7bbaac0e, 0xe90334af,
-  0x7bb6276e, 0xe8f77acf, 0x7bb1a080, 0xe8ebc1d3,
-  0x7bad1744, 0xe8e009ba, 0x7ba88bbc, 0xe8d45286,
-  0x7ba3fde7, 0xe8c89c37, 0x7b9f6dc5, 0xe8bce6cd,
-  0x7b9adb57, 0xe8b13248, 0x7b96469d, 0xe8a57ea9,
-  0x7b91af97, 0xe899cbf1, 0x7b8d1644, 0xe88e1a20,
-  0x7b887aa6, 0xe8826936, 0x7b83dcbc, 0xe876b934,
-  0x7b7f3c87, 0xe86b0a1a, 0x7b7a9a07, 0xe85f5be9,
-  0x7b75f53c, 0xe853aea1, 0x7b714e25, 0xe8480243,
-  0x7b6ca4c4, 0xe83c56cf, 0x7b67f919, 0xe830ac45,
-  0x7b634b23, 0xe82502a7, 0x7b5e9ae4, 0xe81959f4,
-  0x7b59e85a, 0xe80db22d, 0x7b553386, 0xe8020b52,
-  0x7b507c69, 0xe7f66564, 0x7b4bc303, 0xe7eac063,
-  0x7b470753, 0xe7df1c50, 0x7b42495a, 0xe7d3792b,
-  0x7b3d8918, 0xe7c7d6f4, 0x7b38c68e, 0xe7bc35ad,
-  0x7b3401bb, 0xe7b09555, 0x7b2f3aa0, 0xe7a4f5ed,
-  0x7b2a713d, 0xe7995776, 0x7b25a591, 0xe78db9ef,
-  0x7b20d79e, 0xe7821d59, 0x7b1c0764, 0xe77681b6,
-  0x7b1734e2, 0xe76ae704, 0x7b126019, 0xe75f4d45,
-  0x7b0d8909, 0xe753b479, 0x7b08afb2, 0xe7481ca1,
-  0x7b03d414, 0xe73c85bc, 0x7afef630, 0xe730efcc,
-  0x7afa1605, 0xe7255ad1, 0x7af53395, 0xe719c6cb,
-  0x7af04edf, 0xe70e33bb, 0x7aeb67e3, 0xe702a1a1,
-  0x7ae67ea1, 0xe6f7107e, 0x7ae1931a, 0xe6eb8052,
-  0x7adca54e, 0xe6dff11d, 0x7ad7b53d, 0xe6d462e1,
-  0x7ad2c2e8, 0xe6c8d59c, 0x7acdce4d, 0xe6bd4951,
-  0x7ac8d76f, 0xe6b1bdff, 0x7ac3de4c, 0xe6a633a6,
-  0x7abee2e5, 0xe69aaa48, 0x7ab9e53a, 0xe68f21e5,
-  0x7ab4e54c, 0xe6839a7c, 0x7aafe31b, 0xe6781410,
-  0x7aaadea6, 0xe66c8e9f, 0x7aa5d7ee, 0xe6610a2a,
-  0x7aa0cef3, 0xe65586b3, 0x7a9bc3b6, 0xe64a0438,
-  0x7a96b636, 0xe63e82bc, 0x7a91a674, 0xe633023e,
-  0x7a8c9470, 0xe62782be, 0x7a87802a, 0xe61c043d,
-  0x7a8269a3, 0xe61086bc, 0x7a7d50da, 0xe6050a3b,
-  0x7a7835cf, 0xe5f98ebb, 0x7a731884, 0xe5ee143b,
-  0x7a6df8f8, 0xe5e29abc, 0x7a68d72b, 0xe5d72240,
-  0x7a63b31d, 0xe5cbaac5, 0x7a5e8cd0, 0xe5c0344d,
-  0x7a596442, 0xe5b4bed8, 0x7a543974, 0xe5a94a67,
-  0x7a4f0c67, 0xe59dd6f9, 0x7a49dd1a, 0xe5926490,
-  0x7a44ab8e, 0xe586f32c, 0x7a3f77c3, 0xe57b82cd,
-  0x7a3a41b9, 0xe5701374, 0x7a350970, 0xe564a521,
-  0x7a2fcee8, 0xe55937d5, 0x7a2a9223, 0xe54dcb8f,
-  0x7a25531f, 0xe5426051, 0x7a2011de, 0xe536f61b,
-  0x7a1ace5f, 0xe52b8cee, 0x7a1588a2, 0xe52024c9,
-  0x7a1040a8, 0xe514bdad, 0x7a0af671, 0xe509579b,
-  0x7a05a9fd, 0xe4fdf294, 0x7a005b4d, 0xe4f28e96,
-  0x79fb0a60, 0xe4e72ba4, 0x79f5b737, 0xe4dbc9bd,
-  0x79f061d2, 0xe4d068e2, 0x79eb0a31, 0xe4c50914,
-  0x79e5b054, 0xe4b9aa52, 0x79e0543c, 0xe4ae4c9d,
-  0x79daf5e8, 0xe4a2eff6, 0x79d5955a, 0xe497945d,
-  0x79d03291, 0xe48c39d3, 0x79cacd8d, 0xe480e057,
-  0x79c5664f, 0xe47587eb, 0x79bffcd7, 0xe46a308f,
-  0x79ba9125, 0xe45eda43, 0x79b52339, 0xe4538507,
-  0x79afb313, 0xe44830dd, 0x79aa40b4, 0xe43cddc4,
-  0x79a4cc1c, 0xe4318bbe, 0x799f554b, 0xe4263ac9,
-  0x7999dc42, 0xe41aeae8, 0x799460ff, 0xe40f9c1a,
-  0x798ee385, 0xe4044e60, 0x798963d2, 0xe3f901ba,
-  0x7983e1e8, 0xe3edb628, 0x797e5dc6, 0xe3e26bac,
-  0x7978d76c, 0xe3d72245, 0x79734edc, 0xe3cbd9f4,
-  0x796dc414, 0xe3c092b9, 0x79683715, 0xe3b54c95,
-  0x7962a7e0, 0xe3aa0788, 0x795d1675, 0xe39ec393,
-  0x795782d3, 0xe39380b6, 0x7951ecfc, 0xe3883ef2,
-  0x794c54ee, 0xe37cfe47, 0x7946baac, 0xe371beb5,
-  0x79411e33, 0xe366803c, 0x793b7f86, 0xe35b42df,
-  0x7935dea4, 0xe350069b, 0x79303b8e, 0xe344cb73,
-  0x792a9642, 0xe3399167, 0x7924eec3, 0xe32e5876,
-  0x791f4510, 0xe32320a2, 0x79199929, 0xe317e9eb,
-  0x7913eb0e, 0xe30cb451, 0x790e3ac0, 0xe3017fd5,
-  0x7908883f, 0xe2f64c77, 0x7902d38b, 0xe2eb1a37,
-  0x78fd1ca4, 0xe2dfe917, 0x78f7638b, 0xe2d4b916,
-  0x78f1a840, 0xe2c98a35, 0x78ebeac2, 0xe2be5c74,
-  0x78e62b13, 0xe2b32fd4, 0x78e06932, 0xe2a80456,
-  0x78daa520, 0xe29cd9f8, 0x78d4dedd, 0xe291b0bd,
-  0x78cf1669, 0xe28688a4, 0x78c94bc4, 0xe27b61af,
-  0x78c37eef, 0xe2703bdc, 0x78bdafea, 0xe265172e,
-  0x78b7deb4, 0xe259f3a3, 0x78b20b4f, 0xe24ed13d,
-  0x78ac35ba, 0xe243affc, 0x78a65df6, 0xe2388fe1,
-  0x78a08402, 0xe22d70eb, 0x789aa7e0, 0xe222531c,
-  0x7894c98f, 0xe2173674, 0x788ee910, 0xe20c1af3,
-  0x78890663, 0xe2010099, 0x78832187, 0xe1f5e768,
-  0x787d3a7e, 0xe1eacf5f, 0x78775147, 0xe1dfb87f,
-  0x787165e3, 0xe1d4a2c8, 0x786b7852, 0xe1c98e3b,
-  0x78658894, 0xe1be7ad8, 0x785f96a9, 0xe1b368a0,
-  0x7859a292, 0xe1a85793, 0x7853ac4f, 0xe19d47b1,
-  0x784db3e0, 0xe19238fb, 0x7847b946, 0xe1872b72,
-  0x7841bc7f, 0xe17c1f15, 0x783bbd8e, 0xe17113e5,
-  0x7835bc71, 0xe16609e3, 0x782fb92a, 0xe15b0110,
-  0x7829b3b9, 0xe14ff96a, 0x7823ac1d, 0xe144f2f3,
-  0x781da256, 0xe139edac, 0x78179666, 0xe12ee995,
-  0x7811884d, 0xe123e6ad, 0x780b780a, 0xe118e4f6,
-  0x7805659e, 0xe10de470, 0x77ff5109, 0xe102e51c,
-  0x77f93a4b, 0xe0f7e6f9, 0x77f32165, 0xe0ecea09,
-  0x77ed0657, 0xe0e1ee4b, 0x77e6e921, 0xe0d6f3c1,
-  0x77e0c9c3, 0xe0cbfa6a, 0x77daa83d, 0xe0c10247,
-  0x77d48490, 0xe0b60b58, 0x77ce5ebd, 0xe0ab159e,
-  0x77c836c2, 0xe0a0211a, 0x77c20ca1, 0xe0952dcb,
-  0x77bbe05a, 0xe08a3bb2, 0x77b5b1ec, 0xe07f4acf,
-  0x77af8159, 0xe0745b24, 0x77a94ea0, 0xe0696cb0,
-  0x77a319c2, 0xe05e7f74, 0x779ce2be, 0xe053936f,
-  0x7796a996, 0xe048a8a4, 0x77906e49, 0xe03dbf11,
-  0x778a30d8, 0xe032d6b8, 0x7783f143, 0xe027ef99,
-  0x777daf89, 0xe01d09b4, 0x77776bac, 0xe012250a,
-  0x777125ac, 0xe007419b, 0x776add88, 0xdffc5f67,
-  0x77649341, 0xdff17e70, 0x775e46d8, 0xdfe69eb4,
-  0x7757f84c, 0xdfdbc036, 0x7751a79e, 0xdfd0e2f5,
-  0x774b54ce, 0xdfc606f1, 0x7744ffdd, 0xdfbb2c2c,
-  0x773ea8ca, 0xdfb052a5, 0x77384f95, 0xdfa57a5d,
-  0x7731f440, 0xdf9aa354, 0x772b96ca, 0xdf8fcd8b,
-  0x77253733, 0xdf84f902, 0x771ed57c, 0xdf7a25ba,
-  0x771871a5, 0xdf6f53b3, 0x77120bae, 0xdf6482ed,
-  0x770ba398, 0xdf59b369, 0x77053962, 0xdf4ee527,
-  0x76fecd0e, 0xdf441828, 0x76f85e9a, 0xdf394c6b,
-  0x76f1ee09, 0xdf2e81f3, 0x76eb7b58, 0xdf23b8be,
-  0x76e5068a, 0xdf18f0ce, 0x76de8f9e, 0xdf0e2a22,
-  0x76d81695, 0xdf0364bc, 0x76d19b6e, 0xdef8a09b,
-  0x76cb1e2a, 0xdeedddc0, 0x76c49ec9, 0xdee31c2b,
-  0x76be1d4c, 0xded85bdd, 0x76b799b3, 0xdecd9cd7,
-  0x76b113fd, 0xdec2df18, 0x76aa8c2c, 0xdeb822a1,
-  0x76a4023f, 0xdead6773, 0x769d7637, 0xdea2ad8d,
-  0x7696e814, 0xde97f4f1, 0x769057d6, 0xde8d3d9e,
-  0x7689c57d, 0xde828796, 0x7683310b, 0xde77d2d8,
-  0x767c9a7e, 0xde6d1f65, 0x767601d7, 0xde626d3e,
-  0x766f6717, 0xde57bc62, 0x7668ca3e, 0xde4d0cd2,
-  0x76622b4c, 0xde425e8f, 0x765b8a41, 0xde37b199,
-  0x7654e71d, 0xde2d05f1, 0x764e41e2, 0xde225b96,
-  0x76479a8e, 0xde17b28a, 0x7640f123, 0xde0d0acc,
-  0x763a45a0, 0xde02645d, 0x76339806, 0xddf7bf3e,
-  0x762ce855, 0xdded1b6e, 0x7626368d, 0xdde278ef,
-  0x761f82af, 0xddd7d7c1, 0x7618ccba, 0xddcd37e4,
-  0x761214b0, 0xddc29958, 0x760b5a90, 0xddb7fc1e,
-  0x76049e5b, 0xddad6036, 0x75fde011, 0xdda2c5a2,
-  0x75f71fb1, 0xdd982c60, 0x75f05d3d, 0xdd8d9472,
-  0x75e998b5, 0xdd82fdd8, 0x75e2d219, 0xdd786892,
-  0x75dc0968, 0xdd6dd4a2, 0x75d53ea5, 0xdd634206,
-  0x75ce71ce, 0xdd58b0c0, 0x75c7a2e3, 0xdd4e20d0,
-  0x75c0d1e7, 0xdd439236, 0x75b9fed7, 0xdd3904f4,
-  0x75b329b5, 0xdd2e7908, 0x75ac5282, 0xdd23ee74,
-  0x75a5793c, 0xdd196538, 0x759e9de5, 0xdd0edd55,
-  0x7597c07d, 0xdd0456ca, 0x7590e104, 0xdcf9d199,
-  0x7589ff7a, 0xdcef4dc2, 0x75831be0, 0xdce4cb44,
-  0x757c3636, 0xdcda4a21, 0x75754e7c, 0xdccfca59,
-  0x756e64b2, 0xdcc54bec, 0x756778d9, 0xdcbacedb,
-  0x75608af1, 0xdcb05326, 0x75599afa, 0xdca5d8cd,
-  0x7552a8f4, 0xdc9b5fd2, 0x754bb4e1, 0xdc90e834,
-  0x7544bebf, 0xdc8671f3, 0x753dc68f, 0xdc7bfd11,
-  0x7536cc52, 0xdc71898d, 0x752fd008, 0xdc671768,
-  0x7528d1b1, 0xdc5ca6a2, 0x7521d14d, 0xdc52373c,
-  0x751acedd, 0xdc47c936, 0x7513ca60, 0xdc3d5c91,
-  0x750cc3d8, 0xdc32f14d, 0x7505bb44, 0xdc28876a,
-  0x74feb0a5, 0xdc1e1ee9, 0x74f7a3fb, 0xdc13b7c9,
-  0x74f09546, 0xdc09520d, 0x74e98487, 0xdbfeedb3,
-  0x74e271bd, 0xdbf48abd, 0x74db5cea, 0xdbea292b,
-  0x74d4460c, 0xdbdfc8fc, 0x74cd2d26, 0xdbd56a32,
-  0x74c61236, 0xdbcb0cce, 0x74bef53d, 0xdbc0b0ce,
-  0x74b7d63c, 0xdbb65634, 0x74b0b533, 0xdbabfd01,
-  0x74a99221, 0xdba1a534, 0x74a26d08, 0xdb974ece,
-  0x749b45e7, 0xdb8cf9cf, 0x74941cbf, 0xdb82a638,
-  0x748cf190, 0xdb785409, 0x7485c45b, 0xdb6e0342,
-  0x747e951f, 0xdb63b3e5, 0x747763dd, 0xdb5965f1,
-  0x74703095, 0xdb4f1967, 0x7468fb47, 0xdb44ce46,
-  0x7461c3f5, 0xdb3a8491, 0x745a8a9d, 0xdb303c46,
-  0x74534f41, 0xdb25f566, 0x744c11e0, 0xdb1baff2,
-  0x7444d27b, 0xdb116beb, 0x743d9112, 0xdb072950,
-  0x74364da6, 0xdafce821, 0x742f0836, 0xdaf2a860,
-  0x7427c0c3, 0xdae86a0d, 0x7420774d, 0xdade2d28,
-  0x74192bd5, 0xdad3f1b1, 0x7411de5b, 0xdac9b7a9,
-  0x740a8edf, 0xdabf7f11, 0x74033d61, 0xdab547e8,
-  0x73fbe9e2, 0xdaab122f, 0x73f49462, 0xdaa0dde7,
-  0x73ed3ce1, 0xda96ab0f, 0x73e5e360, 0xda8c79a9,
-  0x73de87de, 0xda8249b4, 0x73d72a5d, 0xda781b31,
-  0x73cfcadc, 0xda6dee21, 0x73c8695b, 0xda63c284,
-  0x73c105db, 0xda599859, 0x73b9a05d, 0xda4f6fa3,
-  0x73b238e0, 0xda454860, 0x73aacf65, 0xda3b2292,
-  0x73a363ec, 0xda30fe38, 0x739bf675, 0xda26db54,
-  0x73948701, 0xda1cb9e5, 0x738d1590, 0xda1299ec,
-  0x7385a222, 0xda087b69, 0x737e2cb7, 0xd9fe5e5e,
-  0x7376b551, 0xd9f442c9, 0x736f3bee, 0xd9ea28ac,
-  0x7367c090, 0xd9e01006, 0x73604336, 0xd9d5f8d9,
-  0x7358c3e2, 0xd9cbe325, 0x73514292, 0xd9c1cee9,
-  0x7349bf48, 0xd9b7bc27, 0x73423a04, 0xd9adaadf,
-  0x733ab2c6, 0xd9a39b11, 0x7333298f, 0xd9998cbe,
-  0x732b9e5e, 0xd98f7fe6, 0x73241134, 0xd9857489,
-  0x731c8211, 0xd97b6aa8, 0x7314f0f6, 0xd9716243,
-  0x730d5de3, 0xd9675b5a, 0x7305c8d7, 0xd95d55ef,
-  0x72fe31d5, 0xd9535201, 0x72f698db, 0xd9494f90,
-  0x72eefdea, 0xd93f4e9e, 0x72e76102, 0xd9354f2a,
-  0x72dfc224, 0xd92b5135, 0x72d82150, 0xd92154bf,
-  0x72d07e85, 0xd91759c9, 0x72c8d9c6, 0xd90d6053,
-  0x72c13311, 0xd903685d, 0x72b98a67, 0xd8f971e8,
-  0x72b1dfc9, 0xd8ef7cf4, 0x72aa3336, 0xd8e58982,
-  0x72a284b0, 0xd8db9792, 0x729ad435, 0xd8d1a724,
-  0x729321c7, 0xd8c7b838, 0x728b6d66, 0xd8bdcad0,
-  0x7283b712, 0xd8b3deeb, 0x727bfecc, 0xd8a9f48a,
-  0x72744493, 0xd8a00bae, 0x726c8868, 0xd8962456,
-  0x7264ca4c, 0xd88c3e83, 0x725d0a3e, 0xd8825a35,
-  0x72554840, 0xd878776d, 0x724d8450, 0xd86e962b,
-  0x7245be70, 0xd864b670, 0x723df6a0, 0xd85ad83c,
-  0x72362ce0, 0xd850fb8e, 0x722e6130, 0xd8472069,
-  0x72269391, 0xd83d46cc, 0x721ec403, 0xd8336eb7,
-  0x7216f287, 0xd829982b, 0x720f1f1c, 0xd81fc328,
-  0x720749c3, 0xd815efae, 0x71ff727c, 0xd80c1dbf,
-  0x71f79948, 0xd8024d59, 0x71efbe27, 0xd7f87e7f,
-  0x71e7e118, 0xd7eeb130, 0x71e0021e, 0xd7e4e56c,
-  0x71d82137, 0xd7db1b34, 0x71d03e64, 0xd7d15288,
-  0x71c859a5, 0xd7c78b68, 0x71c072fb, 0xd7bdc5d6,
-  0x71b88a66, 0xd7b401d1, 0x71b09fe7, 0xd7aa3f5a,
-  0x71a8b37c, 0xd7a07e70, 0x71a0c528, 0xd796bf16,
-  0x7198d4ea, 0xd78d014a, 0x7190e2c3, 0xd783450d,
-  0x7188eeb2, 0xd7798a60, 0x7180f8b8, 0xd76fd143,
-  0x717900d6, 0xd76619b6, 0x7171070c, 0xd75c63ba,
-  0x71690b59, 0xd752af4f, 0x71610dbf, 0xd748fc75,
-  0x71590e3e, 0xd73f4b2e, 0x71510cd5, 0xd7359b78,
-  0x71490986, 0xd72bed55, 0x71410450, 0xd72240c5,
-  0x7138fd35, 0xd71895c9, 0x7130f433, 0xd70eec60,
-  0x7128e94c, 0xd705448b, 0x7120dc80, 0xd6fb9e4b,
-  0x7118cdcf, 0xd6f1f99f, 0x7110bd39, 0xd6e85689,
-  0x7108aabf, 0xd6deb508, 0x71009661, 0xd6d5151d,
-  0x70f8801f, 0xd6cb76c9, 0x70f067fb, 0xd6c1da0b,
-  0x70e84df3, 0xd6b83ee4, 0x70e03208, 0xd6aea555,
-  0x70d8143b, 0xd6a50d5d, 0x70cff48c, 0xd69b76fe,
-  0x70c7d2fb, 0xd691e237, 0x70bfaf89, 0xd6884f09,
-  0x70b78a36, 0xd67ebd74, 0x70af6302, 0xd6752d79,
-  0x70a739ed, 0xd66b9f18, 0x709f0ef8, 0xd6621251,
-  0x7096e223, 0xd6588725, 0x708eb36f, 0xd64efd94,
-  0x708682dc, 0xd645759f, 0x707e5069, 0xd63bef46,
-  0x70761c18, 0xd6326a88, 0x706de5e9, 0xd628e767,
-  0x7065addb, 0xd61f65e4, 0x705d73f0, 0xd615e5fd,
-  0x70553828, 0xd60c67b4, 0x704cfa83, 0xd602eb0a,
-  0x7044bb00, 0xd5f96ffd, 0x703c79a2, 0xd5eff690,
-  0x70343667, 0xd5e67ec1, 0x702bf151, 0xd5dd0892,
-  0x7023aa5f, 0xd5d39403, 0x701b6193, 0xd5ca2115,
-  0x701316eb, 0xd5c0afc6, 0x700aca69, 0xd5b74019,
-  0x70027c0c, 0xd5add20d, 0x6ffa2bd6, 0xd5a465a3,
-  0x6ff1d9c7, 0xd59afadb, 0x6fe985de, 0xd59191b5,
-  0x6fe1301c, 0xd5882a32, 0x6fd8d882, 0xd57ec452,
-  0x6fd07f0f, 0xd5756016, 0x6fc823c5, 0xd56bfd7d,
-  0x6fbfc6a3, 0xd5629c89, 0x6fb767aa, 0xd5593d3a,
-  0x6faf06da, 0xd54fdf8f, 0x6fa6a433, 0xd5468389,
-  0x6f9e3fb6, 0xd53d292a, 0x6f95d963, 0xd533d070,
-  0x6f8d713a, 0xd52a795d, 0x6f85073c, 0xd52123f0,
-  0x6f7c9b69, 0xd517d02b, 0x6f742dc1, 0xd50e7e0d,
-  0x6f6bbe45, 0xd5052d97, 0x6f634cf5, 0xd4fbdec9,
-  0x6f5ad9d1, 0xd4f291a4, 0x6f5264da, 0xd4e94627,
-  0x6f49ee0f, 0xd4dffc54, 0x6f417573, 0xd4d6b42b,
-  0x6f38fb03, 0xd4cd6dab, 0x6f307ec2, 0xd4c428d6,
-  0x6f2800af, 0xd4bae5ab, 0x6f1f80ca, 0xd4b1a42c,
-  0x6f16ff14, 0xd4a86458, 0x6f0e7b8e, 0xd49f2630,
-  0x6f05f637, 0xd495e9b3, 0x6efd6f10, 0xd48caee4,
-  0x6ef4e619, 0xd48375c1, 0x6eec5b53, 0xd47a3e4b,
-  0x6ee3cebe, 0xd4710883, 0x6edb405a, 0xd467d469,
-  0x6ed2b027, 0xd45ea1fd, 0x6eca1e27, 0xd4557140,
-  0x6ec18a58, 0xd44c4232, 0x6eb8f4bc, 0xd44314d3,
-  0x6eb05d53, 0xd439e923, 0x6ea7c41e, 0xd430bf24,
-  0x6e9f291b, 0xd42796d5, 0x6e968c4d, 0xd41e7037,
-  0x6e8dedb3, 0xd4154b4a, 0x6e854d4d, 0xd40c280e,
-  0x6e7cab1c, 0xd4030684, 0x6e740720, 0xd3f9e6ad,
-  0x6e6b615a, 0xd3f0c887, 0x6e62b9ca, 0xd3e7ac15,
-  0x6e5a1070, 0xd3de9156, 0x6e51654c, 0xd3d5784a,
-  0x6e48b860, 0xd3cc60f2, 0x6e4009aa, 0xd3c34b4f,
-  0x6e37592c, 0xd3ba3760, 0x6e2ea6e6, 0xd3b12526,
-  0x6e25f2d8, 0xd3a814a2, 0x6e1d3d03, 0xd39f05d3,
-  0x6e148566, 0xd395f8ba, 0x6e0bcc03, 0xd38ced57,
-  0x6e0310d9, 0xd383e3ab, 0x6dfa53e9, 0xd37adbb6,
-  0x6df19534, 0xd371d579, 0x6de8d4b8, 0xd368d0f3,
-  0x6de01278, 0xd35fce26, 0x6dd74e73, 0xd356cd11,
-  0x6dce88aa, 0xd34dcdb4, 0x6dc5c11c, 0xd344d011,
-  0x6dbcf7cb, 0xd33bd427, 0x6db42cb6, 0xd332d9f7,
-  0x6dab5fdf, 0xd329e181, 0x6da29144, 0xd320eac6,
-  0x6d99c0e7, 0xd317f5c6, 0x6d90eec8, 0xd30f0280,
-  0x6d881ae8, 0xd30610f7, 0x6d7f4545, 0xd2fd2129,
-  0x6d766de2, 0xd2f43318, 0x6d6d94bf, 0xd2eb46c3,
-  0x6d64b9da, 0xd2e25c2b, 0x6d5bdd36, 0xd2d97350,
-  0x6d52fed2, 0xd2d08c33, 0x6d4a1eaf, 0xd2c7a6d4,
-  0x6d413ccd, 0xd2bec333, 0x6d38592c, 0xd2b5e151,
-  0x6d2f73cd, 0xd2ad012e, 0x6d268cb0, 0xd2a422ca,
-  0x6d1da3d5, 0xd29b4626, 0x6d14b93d, 0xd2926b41,
-  0x6d0bcce8, 0xd289921e, 0x6d02ded7, 0xd280babb,
-  0x6cf9ef09, 0xd277e518, 0x6cf0fd80, 0xd26f1138,
-  0x6ce80a3a, 0xd2663f19, 0x6cdf153a, 0xd25d6ebc,
-  0x6cd61e7f, 0xd254a021, 0x6ccd2609, 0xd24bd34a,
-  0x6cc42bd9, 0xd2430835, 0x6cbb2fef, 0xd23a3ee4,
-  0x6cb2324c, 0xd2317756, 0x6ca932ef, 0xd228b18d,
-  0x6ca031da, 0xd21fed88, 0x6c972f0d, 0xd2172b48,
-  0x6c8e2a87, 0xd20e6acc, 0x6c85244a, 0xd205ac17,
-  0x6c7c1c55, 0xd1fcef27, 0x6c7312a9, 0xd1f433fd,
-  0x6c6a0746, 0xd1eb7a9a, 0x6c60fa2d, 0xd1e2c2fd,
-  0x6c57eb5e, 0xd1da0d28, 0x6c4edada, 0xd1d1591a,
-  0x6c45c8a0, 0xd1c8a6d4, 0x6c3cb4b1, 0xd1bff656,
-  0x6c339f0e, 0xd1b747a0, 0x6c2a87b6, 0xd1ae9ab4,
-  0x6c216eaa, 0xd1a5ef90, 0x6c1853eb, 0xd19d4636,
-  0x6c0f3779, 0xd1949ea6, 0x6c061953, 0xd18bf8e0,
-  0x6bfcf97c, 0xd18354e4, 0x6bf3d7f2, 0xd17ab2b3,
-  0x6beab4b6, 0xd172124d, 0x6be18fc9, 0xd16973b3,
-  0x6bd8692b, 0xd160d6e5, 0x6bcf40dc, 0xd1583be2,
-  0x6bc616dd, 0xd14fa2ad, 0x6bbceb2d, 0xd1470b44,
-  0x6bb3bdce, 0xd13e75a8, 0x6baa8ec0, 0xd135e1d9,
-  0x6ba15e03, 0xd12d4fd9, 0x6b982b97, 0xd124bfa6,
-  0x6b8ef77d, 0xd11c3142, 0x6b85c1b5, 0xd113a4ad,
-  0x6b7c8a3f, 0xd10b19e7, 0x6b73511c, 0xd10290f0,
-  0x6b6a164d, 0xd0fa09c9, 0x6b60d9d0, 0xd0f18472,
-  0x6b579ba8, 0xd0e900ec, 0x6b4e5bd4, 0xd0e07f36,
-  0x6b451a55, 0xd0d7ff51, 0x6b3bd72a, 0xd0cf813e,
-  0x6b329255, 0xd0c704fd, 0x6b294bd5, 0xd0be8a8d,
-  0x6b2003ac, 0xd0b611f1, 0x6b16b9d9, 0xd0ad9b26,
-  0x6b0d6e5c, 0xd0a5262f, 0x6b042137, 0xd09cb30b,
-  0x6afad269, 0xd09441bb, 0x6af181f3, 0xd08bd23f,
-  0x6ae82fd5, 0xd0836497, 0x6adedc10, 0xd07af8c4,
-  0x6ad586a3, 0xd0728ec6, 0x6acc2f90, 0xd06a269d,
-  0x6ac2d6d6, 0xd061c04a, 0x6ab97c77, 0xd0595bcd,
-  0x6ab02071, 0xd050f926, 0x6aa6c2c6, 0xd0489856,
-  0x6a9d6377, 0xd040395d, 0x6a940283, 0xd037dc3b,
-  0x6a8a9fea, 0xd02f80f1, 0x6a813bae, 0xd027277e,
-  0x6a77d5ce, 0xd01ecfe4, 0x6a6e6e4b, 0xd0167a22,
-  0x6a650525, 0xd00e2639, 0x6a5b9a5d, 0xd005d42a,
-  0x6a522df3, 0xcffd83f4, 0x6a48bfe7, 0xcff53597,
-  0x6a3f503a, 0xcfece915, 0x6a35deeb, 0xcfe49e6d,
-  0x6a2c6bfd, 0xcfdc55a1, 0x6a22f76e, 0xcfd40eaf,
-  0x6a19813f, 0xcfcbc999, 0x6a100970, 0xcfc3865e,
-  0x6a069003, 0xcfbb4500, 0x69fd14f6, 0xcfb3057d,
-  0x69f3984c, 0xcfaac7d8, 0x69ea1a03, 0xcfa28c10,
-  0x69e09a1c, 0xcf9a5225, 0x69d71899, 0xcf921a17,
-  0x69cd9578, 0xcf89e3e8, 0x69c410ba, 0xcf81af97,
-  0x69ba8a61, 0xcf797d24, 0x69b1026c, 0xcf714c91,
-  0x69a778db, 0xcf691ddd, 0x699dedaf, 0xcf60f108,
-  0x699460e8, 0xcf58c613, 0x698ad287, 0xcf509cfe,
-  0x6981428c, 0xcf4875ca, 0x6977b0f7, 0xcf405077,
-  0x696e1dc9, 0xcf382d05, 0x69648902, 0xcf300b74,
-  0x695af2a3, 0xcf27ebc5, 0x69515aab, 0xcf1fcdf8,
-  0x6947c11c, 0xcf17b20d, 0x693e25f5, 0xcf0f9805,
-  0x69348937, 0xcf077fe1, 0x692aeae3, 0xceff699f,
-  0x69214af8, 0xcef75541, 0x6917a977, 0xceef42c7,
-  0x690e0661, 0xcee73231, 0x690461b5, 0xcedf2380,
-  0x68fabb75, 0xced716b4, 0x68f113a0, 0xcecf0bcd,
-  0x68e76a37, 0xcec702cb, 0x68ddbf3b, 0xcebefbb0,
-  0x68d412ab, 0xceb6f67a, 0x68ca6488, 0xceaef32b,
-  0x68c0b4d2, 0xcea6f1c2, 0x68b7038b, 0xce9ef241,
-  0x68ad50b1, 0xce96f4a7, 0x68a39c46, 0xce8ef8f4,
-  0x6899e64a, 0xce86ff2a, 0x68902ebd, 0xce7f0748,
-  0x688675a0, 0xce77114e, 0x687cbaf3, 0xce6f1d3d,
-  0x6872feb6, 0xce672b16, 0x686940ea, 0xce5f3ad8,
-  0x685f8190, 0xce574c84, 0x6855c0a6, 0xce4f6019,
-  0x684bfe2f, 0xce47759a, 0x68423a2a, 0xce3f8d05,
-  0x68387498, 0xce37a65b, 0x682ead78, 0xce2fc19c,
-  0x6824e4cc, 0xce27dec9, 0x681b1a94, 0xce1ffde2,
-  0x68114ed0, 0xce181ee8, 0x68078181, 0xce1041d9,
-  0x67fdb2a7, 0xce0866b8, 0x67f3e241, 0xce008d84,
-  0x67ea1052, 0xcdf8b63d, 0x67e03cd8, 0xcdf0e0e4,
-  0x67d667d5, 0xcde90d79, 0x67cc9149, 0xcde13bfd,
-  0x67c2b934, 0xcdd96c6f, 0x67b8df97, 0xcdd19ed0,
-  0x67af0472, 0xcdc9d320, 0x67a527c4, 0xcdc20960,
-  0x679b4990, 0xcdba4190, 0x679169d5, 0xcdb27bb0,
-  0x67878893, 0xcdaab7c0, 0x677da5cb, 0xcda2f5c2,
-  0x6773c17d, 0xcd9b35b4, 0x6769dbaa, 0xcd937798,
-  0x675ff452, 0xcd8bbb6d, 0x67560b76, 0xcd840134,
-  0x674c2115, 0xcd7c48ee, 0x67423530, 0xcd74929a,
-  0x673847c8, 0xcd6cde39, 0x672e58dc, 0xcd652bcb,
-  0x6724686e, 0xcd5d7b50, 0x671a767e, 0xcd55ccca,
-  0x6710830c, 0xcd4e2037, 0x67068e18, 0xcd467599,
-  0x66fc97a3, 0xcd3eccef, 0x66f29fad, 0xcd37263a,
-  0x66e8a637, 0xcd2f817b, 0x66deab41, 0xcd27deb0,
-  0x66d4aecb, 0xcd203ddc, 0x66cab0d6, 0xcd189efe,
-  0x66c0b162, 0xcd110216, 0x66b6b070, 0xcd096725,
-  0x66acadff, 0xcd01ce2b, 0x66a2aa11, 0xccfa3729,
-  0x6698a4a6, 0xccf2a21d, 0x668e9dbd, 0xcceb0f0a,
-  0x66849558, 0xcce37def, 0x667a8b77, 0xccdbeecc,
-  0x6670801a, 0xccd461a2, 0x66667342, 0xccccd671,
-  0x665c64ef, 0xccc54d3a, 0x66525521, 0xccbdc5fc,
-  0x664843d9, 0xccb640b8, 0x663e3117, 0xccaebd6e,
-  0x66341cdb, 0xcca73c1e, 0x662a0727, 0xcc9fbcca,
-  0x661feffa, 0xcc983f70, 0x6615d754, 0xcc90c412,
-  0x660bbd37, 0xcc894aaf, 0x6601a1a2, 0xcc81d349,
-  0x65f78497, 0xcc7a5dde, 0x65ed6614, 0xcc72ea70,
-  0x65e3461b, 0xcc6b78ff, 0x65d924ac, 0xcc64098b,
-  0x65cf01c8, 0xcc5c9c14, 0x65c4dd6e, 0xcc55309b,
-  0x65bab7a0, 0xcc4dc720, 0x65b0905d, 0xcc465fa3,
-  0x65a667a7, 0xcc3efa25, 0x659c3d7c, 0xcc3796a5,
-  0x659211df, 0xcc303524, 0x6587e4cf, 0xcc28d5a3,
-  0x657db64c, 0xcc217822, 0x65738657, 0xcc1a1ca0,
-  0x656954f1, 0xcc12c31f, 0x655f2219, 0xcc0b6b9e,
-  0x6554edd1, 0xcc04161e, 0x654ab818, 0xcbfcc29f,
-  0x654080ef, 0xcbf57121, 0x65364857, 0xcbee21a5,
-  0x652c0e4f, 0xcbe6d42b, 0x6521d2d8, 0xcbdf88b3,
-  0x651795f3, 0xcbd83f3d, 0x650d57a0, 0xcbd0f7ca,
-  0x650317df, 0xcbc9b25a, 0x64f8d6b0, 0xcbc26eee,
-  0x64ee9415, 0xcbbb2d85, 0x64e4500e, 0xcbb3ee20,
-  0x64da0a9a, 0xcbacb0bf, 0x64cfc3ba, 0xcba57563,
-  0x64c57b6f, 0xcb9e3c0b, 0x64bb31ba, 0xcb9704b9,
-  0x64b0e699, 0xcb8fcf6b, 0x64a69a0f, 0xcb889c23,
-  0x649c4c1b, 0xcb816ae1, 0x6491fcbe, 0xcb7a3ba5,
-  0x6487abf7, 0xcb730e70, 0x647d59c8, 0xcb6be341,
-  0x64730631, 0xcb64ba19, 0x6468b132, 0xcb5d92f8,
-  0x645e5acc, 0xcb566ddf, 0x645402ff, 0xcb4f4acd,
-  0x6449a9cc, 0xcb4829c4, 0x643f4f32, 0xcb410ac3,
-  0x6434f332, 0xcb39edca, 0x642a95ce, 0xcb32d2da,
-  0x64203704, 0xcb2bb9f4, 0x6415d6d5, 0xcb24a316,
-  0x640b7543, 0xcb1d8e43, 0x6401124d, 0xcb167b79,
-  0x63f6adf3, 0xcb0f6aba, 0x63ec4837, 0xcb085c05,
-  0x63e1e117, 0xcb014f5b, 0x63d77896, 0xcafa44bc,
-  0x63cd0eb3, 0xcaf33c28, 0x63c2a36f, 0xcaec35a0,
-  0x63b836ca, 0xcae53123, 0x63adc8c4, 0xcade2eb3,
-  0x63a3595e, 0xcad72e4f, 0x6398e898, 0xcad02ff8,
-  0x638e7673, 0xcac933ae, 0x638402ef, 0xcac23971,
-  0x63798e0d, 0xcabb4141, 0x636f17cc, 0xcab44b1f,
-  0x6364a02e, 0xcaad570c, 0x635a2733, 0xcaa66506,
-  0x634facda, 0xca9f750f, 0x63453125, 0xca988727,
-  0x633ab414, 0xca919b4e, 0x633035a7, 0xca8ab184,
-  0x6325b5df, 0xca83c9ca, 0x631b34bc, 0xca7ce420,
-  0x6310b23e, 0xca760086, 0x63062e67, 0xca6f1efc,
-  0x62fba936, 0xca683f83, 0x62f122ab, 0xca61621b,
-  0x62e69ac8, 0xca5a86c4, 0x62dc118c, 0xca53ad7e,
-  0x62d186f8, 0xca4cd64b, 0x62c6fb0c, 0xca460129,
-  0x62bc6dca, 0xca3f2e19, 0x62b1df30, 0xca385d1d,
-  0x62a74f40, 0xca318e32, 0x629cbdfa, 0xca2ac15b,
-  0x62922b5e, 0xca23f698, 0x6287976e, 0xca1d2de7,
-  0x627d0228, 0xca16674b, 0x62726b8e, 0xca0fa2c3,
-  0x6267d3a0, 0xca08e04f, 0x625d3a5e, 0xca021fef,
-  0x62529fca, 0xc9fb61a5, 0x624803e2, 0xc9f4a570,
-  0x623d66a8, 0xc9edeb50, 0x6232c81c, 0xc9e73346,
-  0x6228283f, 0xc9e07d51, 0x621d8711, 0xc9d9c973,
-  0x6212e492, 0xc9d317ab, 0x620840c2, 0xc9cc67fa,
-  0x61fd9ba3, 0xc9c5ba60, 0x61f2f534, 0xc9bf0edd,
-  0x61e84d76, 0xc9b86572, 0x61dda46a, 0xc9b1be1e,
-  0x61d2fa0f, 0xc9ab18e3, 0x61c84e67, 0xc9a475bf,
-  0x61bda171, 0xc99dd4b4, 0x61b2f32e, 0xc99735c2,
-  0x61a8439e, 0xc99098e9, 0x619d92c2, 0xc989fe29,
-  0x6192e09b, 0xc9836582, 0x61882d28, 0xc97ccef5,
-  0x617d786a, 0xc9763a83, 0x6172c262, 0xc96fa82a,
-  0x61680b0f, 0xc96917ec, 0x615d5273, 0xc96289c9,
-  0x6152988d, 0xc95bfdc1, 0x6147dd5f, 0xc95573d4,
-  0x613d20e8, 0xc94eec03, 0x61326329, 0xc948664d,
-  0x6127a423, 0xc941e2b4, 0x611ce3d5, 0xc93b6137,
-  0x61122240, 0xc934e1d6, 0x61075f65, 0xc92e6492,
-  0x60fc9b44, 0xc927e96b, 0x60f1d5de, 0xc9217062,
-  0x60e70f32, 0xc91af976, 0x60dc4742, 0xc91484a8,
-  0x60d17e0d, 0xc90e11f7, 0x60c6b395, 0xc907a166,
-  0x60bbe7d8, 0xc90132f2, 0x60b11ad9, 0xc8fac69e,
-  0x60a64c97, 0xc8f45c68, 0x609b7d13, 0xc8edf452,
-  0x6090ac4d, 0xc8e78e5b, 0x6085da46, 0xc8e12a84,
-  0x607b06fe, 0xc8dac8cd, 0x60703275, 0xc8d46936,
-  0x60655cac, 0xc8ce0bc0, 0x605a85a3, 0xc8c7b06b,
-  0x604fad5b, 0xc8c15736, 0x6044d3d4, 0xc8bb0023,
-  0x6039f90f, 0xc8b4ab32, 0x602f1d0b, 0xc8ae5862,
-  0x60243fca, 0xc8a807b4, 0x6019614c, 0xc8a1b928,
-  0x600e8190, 0xc89b6cbf, 0x6003a099, 0xc8952278,
-  0x5ff8be65, 0xc88eda54, 0x5feddaf6, 0xc8889454,
-  0x5fe2f64c, 0xc8825077, 0x5fd81067, 0xc87c0ebd,
-  0x5fcd2948, 0xc875cf28, 0x5fc240ef, 0xc86f91b7,
-  0x5fb7575c, 0xc869566a, 0x5fac6c91, 0xc8631d42,
-  0x5fa1808c, 0xc85ce63e, 0x5f969350, 0xc856b160,
-  0x5f8ba4dc, 0xc8507ea7, 0x5f80b531, 0xc84a4e14,
-  0x5f75c44e, 0xc8441fa6, 0x5f6ad235, 0xc83df35f,
-  0x5f5fdee6, 0xc837c93e, 0x5f54ea62, 0xc831a143,
-  0x5f49f4a8, 0xc82b7b70, 0x5f3efdb9, 0xc82557c3,
-  0x5f340596, 0xc81f363d, 0x5f290c3f, 0xc81916df,
-  0x5f1e11b5, 0xc812f9a9, 0x5f1315f7, 0xc80cde9b,
-  0x5f081907, 0xc806c5b5, 0x5efd1ae4, 0xc800aef7,
-  0x5ef21b90, 0xc7fa9a62, 0x5ee71b0a, 0xc7f487f6,
-  0x5edc1953, 0xc7ee77b3, 0x5ed1166b, 0xc7e8699a,
-  0x5ec61254, 0xc7e25daa, 0x5ebb0d0d, 0xc7dc53e3,
-  0x5eb00696, 0xc7d64c47, 0x5ea4fef0, 0xc7d046d6,
-  0x5e99f61d, 0xc7ca438f, 0x5e8eec1b, 0xc7c44272,
-  0x5e83e0eb, 0xc7be4381, 0x5e78d48e, 0xc7b846ba,
-  0x5e6dc705, 0xc7b24c20, 0x5e62b84f, 0xc7ac53b1,
-  0x5e57a86d, 0xc7a65d6e, 0x5e4c9760, 0xc7a06957,
-  0x5e418528, 0xc79a776c, 0x5e3671c5, 0xc79487ae,
-  0x5e2b5d38, 0xc78e9a1d, 0x5e204781, 0xc788aeb9,
-  0x5e1530a1, 0xc782c582, 0x5e0a1898, 0xc77cde79,
-  0x5dfeff67, 0xc776f99d, 0x5df3e50d, 0xc77116f0,
-  0x5de8c98c, 0xc76b3671, 0x5dddace4, 0xc7655820,
-  0x5dd28f15, 0xc75f7bfe, 0x5dc7701f, 0xc759a20a,
-  0x5dbc5004, 0xc753ca46, 0x5db12ec3, 0xc74df4b1,
-  0x5da60c5d, 0xc748214c, 0x5d9ae8d2, 0xc7425016,
-  0x5d8fc424, 0xc73c8111, 0x5d849e51, 0xc736b43c,
-  0x5d79775c, 0xc730e997, 0x5d6e4f43, 0xc72b2123,
-  0x5d632608, 0xc7255ae0, 0x5d57fbaa, 0xc71f96ce,
-  0x5d4cd02c, 0xc719d4ed, 0x5d41a38c, 0xc714153e,
-  0x5d3675cb, 0xc70e57c0, 0x5d2b46ea, 0xc7089c75,
-  0x5d2016e9, 0xc702e35c, 0x5d14e5c9, 0xc6fd2c75,
-  0x5d09b389, 0xc6f777c1, 0x5cfe802b, 0xc6f1c540,
-  0x5cf34baf, 0xc6ec14f2, 0x5ce81615, 0xc6e666d7,
-  0x5cdcdf5e, 0xc6e0baf0, 0x5cd1a78a, 0xc6db113d,
-  0x5cc66e99, 0xc6d569be, 0x5cbb348d, 0xc6cfc472,
-  0x5caff965, 0xc6ca215c, 0x5ca4bd21, 0xc6c4807a,
-  0x5c997fc4, 0xc6bee1cd, 0x5c8e414b, 0xc6b94554,
-  0x5c8301b9, 0xc6b3ab12, 0x5c77c10e, 0xc6ae1304,
-  0x5c6c7f4a, 0xc6a87d2d, 0x5c613c6d, 0xc6a2e98b,
-  0x5c55f878, 0xc69d5820, 0x5c4ab36b, 0xc697c8eb,
-  0x5c3f6d47, 0xc6923bec, 0x5c34260c, 0xc68cb124,
-  0x5c28ddbb, 0xc6872894, 0x5c1d9454, 0xc681a23a,
-  0x5c1249d8, 0xc67c1e18, 0x5c06fe46, 0xc6769c2e,
-  0x5bfbb1a0, 0xc6711c7b, 0x5bf063e6, 0xc66b9f01,
-  0x5be51518, 0xc66623be, 0x5bd9c537, 0xc660aab5,
-  0x5bce7442, 0xc65b33e4, 0x5bc3223c, 0xc655bf4c,
-  0x5bb7cf23, 0xc6504ced, 0x5bac7af9, 0xc64adcc7,
-  0x5ba125bd, 0xc6456edb, 0x5b95cf71, 0xc6400329,
-  0x5b8a7815, 0xc63a99b1, 0x5b7f1fa9, 0xc6353273,
-  0x5b73c62d, 0xc62fcd6f, 0x5b686ba3, 0xc62a6aa6,
-  0x5b5d100a, 0xc6250a18, 0x5b51b363, 0xc61fabc4,
-  0x5b4655ae, 0xc61a4fac, 0x5b3af6ec, 0xc614f5cf,
-  0x5b2f971e, 0xc60f9e2e, 0x5b243643, 0xc60a48c9,
-  0x5b18d45c, 0xc604f5a0, 0x5b0d716a, 0xc5ffa4b3,
-  0x5b020d6c, 0xc5fa5603, 0x5af6a865, 0xc5f5098f,
-  0x5aeb4253, 0xc5efbf58, 0x5adfdb37, 0xc5ea775e,
-  0x5ad47312, 0xc5e531a1, 0x5ac909e5, 0xc5dfee22,
-  0x5abd9faf, 0xc5daace1, 0x5ab23471, 0xc5d56ddd,
-  0x5aa6c82b, 0xc5d03118, 0x5a9b5adf, 0xc5caf690,
-  0x5a8fec8c, 0xc5c5be47, 0x5a847d33, 0xc5c0883d,
-  0x5a790cd4, 0xc5bb5472, 0x5a6d9b70, 0xc5b622e6,
-  0x5a622907, 0xc5b0f399, 0x5a56b599, 0xc5abc68c,
-  0x5a4b4128, 0xc5a69bbe, 0x5a3fcbb3, 0xc5a17330,
-  0x5a34553b, 0xc59c4ce3, 0x5a28ddc0, 0xc59728d5,
-  0x5a1d6544, 0xc5920708, 0x5a11ebc5, 0xc58ce77c,
-  0x5a067145, 0xc587ca31, 0x59faf5c5, 0xc582af26,
-  0x59ef7944, 0xc57d965d, 0x59e3fbc3, 0xc5787fd6,
-  0x59d87d42, 0xc5736b90, 0x59ccfdc2, 0xc56e598c,
-  0x59c17d44, 0xc56949ca, 0x59b5fbc8, 0xc5643c4a,
-  0x59aa794d, 0xc55f310d, 0x599ef5d6, 0xc55a2812,
-  0x59937161, 0xc555215a, 0x5987ebf0, 0xc5501ce5,
-  0x597c6584, 0xc54b1ab4, 0x5970de1b, 0xc5461ac6,
-  0x596555b8, 0xc5411d1b, 0x5959cc5a, 0xc53c21b4,
-  0x594e4201, 0xc5372891, 0x5942b6af, 0xc53231b3,
-  0x59372a64, 0xc52d3d18, 0x592b9d1f, 0xc5284ac3,
-  0x59200ee3, 0xc5235ab2, 0x59147fae, 0xc51e6ce6,
-  0x5908ef82, 0xc519815f, 0x58fd5e5f, 0xc514981d,
-  0x58f1cc45, 0xc50fb121, 0x58e63935, 0xc50acc6b,
-  0x58daa52f, 0xc505e9fb, 0x58cf1034, 0xc50109d0,
-  0x58c37a44, 0xc4fc2bec, 0x58b7e35f, 0xc4f7504e,
-  0x58ac4b87, 0xc4f276f7, 0x58a0b2bb, 0xc4ed9fe7,
-  0x589518fc, 0xc4e8cb1e, 0x58897e4a, 0xc4e3f89c,
-  0x587de2a7, 0xc4df2862, 0x58724611, 0xc4da5a6f,
-  0x5866a88a, 0xc4d58ec3, 0x585b0a13, 0xc4d0c560,
-  0x584f6aab, 0xc4cbfe45, 0x5843ca53, 0xc4c73972,
-  0x5838290c, 0xc4c276e8, 0x582c86d5, 0xc4bdb6a6,
-  0x5820e3b0, 0xc4b8f8ad, 0x58153f9d, 0xc4b43cfd,
-  0x58099a9c, 0xc4af8397, 0x57fdf4ae, 0xc4aacc7a,
-  0x57f24dd3, 0xc4a617a6, 0x57e6a60c, 0xc4a1651c,
-  0x57dafd59, 0xc49cb4dd, 0x57cf53bb, 0xc49806e7,
-  0x57c3a931, 0xc4935b3c, 0x57b7fdbd, 0xc48eb1db,
-  0x57ac515f, 0xc48a0ac4, 0x57a0a417, 0xc48565f9,
-  0x5794f5e6, 0xc480c379, 0x578946cc, 0xc47c2344,
-  0x577d96ca, 0xc477855a, 0x5771e5e0, 0xc472e9bc,
-  0x5766340f, 0xc46e5069, 0x575a8157, 0xc469b963,
-  0x574ecdb8, 0xc46524a9, 0x57431933, 0xc460923b,
-  0x573763c9, 0xc45c0219, 0x572bad7a, 0xc4577444,
-  0x571ff646, 0xc452e8bc, 0x57143e2d, 0xc44e5f80,
-  0x57088531, 0xc449d892, 0x56fccb51, 0xc44553f2,
-  0x56f1108f, 0xc440d19e, 0x56e554ea, 0xc43c5199,
-  0x56d99864, 0xc437d3e1, 0x56cddafb, 0xc4335877,
-  0x56c21cb2, 0xc42edf5c, 0x56b65d88, 0xc42a688f,
-  0x56aa9d7e, 0xc425f410, 0x569edc94, 0xc42181e0,
-  0x56931acb, 0xc41d11ff, 0x56875823, 0xc418a46d,
-  0x567b949d, 0xc414392b, 0x566fd039, 0xc40fd037,
-  0x56640af7, 0xc40b6994, 0x565844d8, 0xc4070540,
-  0x564c7ddd, 0xc402a33c, 0x5640b606, 0xc3fe4388,
-  0x5634ed53, 0xc3f9e624, 0x562923c5, 0xc3f58b10,
-  0x561d595d, 0xc3f1324e, 0x56118e1a, 0xc3ecdbdc,
-  0x5605c1fd, 0xc3e887bb, 0x55f9f507, 0xc3e435ea,
-  0x55ee2738, 0xc3dfe66c, 0x55e25890, 0xc3db993e,
-  0x55d68911, 0xc3d74e62, 0x55cab8ba, 0xc3d305d8,
-  0x55bee78c, 0xc3cebfa0, 0x55b31587, 0xc3ca7bba,
-  0x55a742ac, 0xc3c63a26, 0x559b6efb, 0xc3c1fae5,
-  0x558f9a76, 0xc3bdbdf6, 0x5583c51b, 0xc3b9835a,
-  0x5577eeec, 0xc3b54b11, 0x556c17e9, 0xc3b1151b,
-  0x55604013, 0xc3ace178, 0x5554676a, 0xc3a8b028,
-  0x55488dee, 0xc3a4812c, 0x553cb3a0, 0xc3a05484,
-  0x5530d881, 0xc39c2a2f, 0x5524fc90, 0xc398022f,
-  0x55191fcf, 0xc393dc82, 0x550d423d, 0xc38fb92a,
-  0x550163dc, 0xc38b9827, 0x54f584ac, 0xc3877978,
-  0x54e9a4ac, 0xc3835d1e, 0x54ddc3de, 0xc37f4319,
-  0x54d1e242, 0xc37b2b6a, 0x54c5ffd9, 0xc377160f,
-  0x54ba1ca3, 0xc373030a, 0x54ae38a0, 0xc36ef25b,
-  0x54a253d1, 0xc36ae401, 0x54966e36, 0xc366d7fd,
-  0x548a87d1, 0xc362ce50, 0x547ea0a0, 0xc35ec6f8,
-  0x5472b8a5, 0xc35ac1f7, 0x5466cfe1, 0xc356bf4d,
-  0x545ae653, 0xc352bef9, 0x544efbfc, 0xc34ec0fc,
-  0x544310dd, 0xc34ac556, 0x543724f5, 0xc346cc07,
-  0x542b3846, 0xc342d510, 0x541f4ad1, 0xc33ee070,
-  0x54135c94, 0xc33aee27, 0x54076d91, 0xc336fe37,
-  0x53fb7dc9, 0xc333109e, 0x53ef8d3c, 0xc32f255e,
-  0x53e39be9, 0xc32b3c75, 0x53d7a9d3, 0xc32755e5,
-  0x53cbb6f8, 0xc32371ae, 0x53bfc35b, 0xc31f8fcf,
-  0x53b3cefa, 0xc31bb049, 0x53a7d9d7, 0xc317d31c,
-  0x539be3f2, 0xc313f848, 0x538fed4b, 0xc3101fce,
-  0x5383f5e3, 0xc30c49ad, 0x5377fdbb, 0xc30875e5,
-  0x536c04d2, 0xc304a477, 0x53600b2a, 0xc300d563,
-  0x535410c3, 0xc2fd08a9, 0x5348159d, 0xc2f93e4a,
-  0x533c19b8, 0xc2f57644, 0x53301d16, 0xc2f1b099,
-  0x53241fb6, 0xc2eded49, 0x5318219a, 0xc2ea2c53,
-  0x530c22c1, 0xc2e66db8, 0x5300232c, 0xc2e2b178,
-  0x52f422db, 0xc2def794, 0x52e821cf, 0xc2db400a,
-  0x52dc2009, 0xc2d78add, 0x52d01d89, 0xc2d3d80a,
-  0x52c41a4f, 0xc2d02794, 0x52b8165b, 0xc2cc7979,
-  0x52ac11af, 0xc2c8cdbb, 0x52a00c4b, 0xc2c52459,
-  0x5294062f, 0xc2c17d52, 0x5287ff5b, 0xc2bdd8a9,
-  0x527bf7d1, 0xc2ba365c, 0x526fef90, 0xc2b6966c,
-  0x5263e699, 0xc2b2f8d8, 0x5257dced, 0xc2af5da2,
-  0x524bd28c, 0xc2abc4c9, 0x523fc776, 0xc2a82e4d,
-  0x5233bbac, 0xc2a49a2e, 0x5227af2e, 0xc2a1086d,
-  0x521ba1fd, 0xc29d790a, 0x520f941a, 0xc299ec05,
-  0x52038584, 0xc296615d, 0x51f7763c, 0xc292d914,
-  0x51eb6643, 0xc28f5329, 0x51df5599, 0xc28bcf9c,
-  0x51d3443f, 0xc2884e6e, 0x51c73235, 0xc284cf9f,
-  0x51bb1f7c, 0xc281532e, 0x51af0c13, 0xc27dd91c,
-  0x51a2f7fc, 0xc27a616a, 0x5196e337, 0xc276ec16,
-  0x518acdc4, 0xc2737922, 0x517eb7a4, 0xc270088e,
-  0x5172a0d7, 0xc26c9a58, 0x5166895f, 0xc2692e83,
-  0x515a713a, 0xc265c50e, 0x514e586a, 0xc2625df8,
-  0x51423ef0, 0xc25ef943, 0x513624cb, 0xc25b96ee,
-  0x512a09fc, 0xc25836f9, 0x511dee84, 0xc254d965,
-  0x5111d263, 0xc2517e31, 0x5105b599, 0xc24e255e,
-  0x50f99827, 0xc24aceed, 0x50ed7a0e, 0xc2477adc,
-  0x50e15b4e, 0xc244292c, 0x50d53be7, 0xc240d9de,
-  0x50c91bda, 0xc23d8cf1, 0x50bcfb28, 0xc23a4265,
-  0x50b0d9d0, 0xc236fa3b, 0x50a4b7d3, 0xc233b473,
-  0x50989532, 0xc230710d, 0x508c71ee, 0xc22d3009,
-  0x50804e06, 0xc229f167, 0x5074297b, 0xc226b528,
-  0x5068044e, 0xc2237b4b, 0x505bde7f, 0xc22043d0,
-  0x504fb80e, 0xc21d0eb8, 0x504390fd, 0xc219dc03,
-  0x5037694b, 0xc216abb1, 0x502b40f8, 0xc2137dc2,
-  0x501f1807, 0xc2105236, 0x5012ee76, 0xc20d290d,
-  0x5006c446, 0xc20a0248, 0x4ffa9979, 0xc206dde6,
-  0x4fee6e0d, 0xc203bbe8, 0x4fe24205, 0xc2009c4e,
-  0x4fd6155f, 0xc1fd7f17, 0x4fc9e81e, 0xc1fa6445,
-  0x4fbdba40, 0xc1f74bd6, 0x4fb18bc8, 0xc1f435cc,
-  0x4fa55cb4, 0xc1f12227, 0x4f992d06, 0xc1ee10e5,
-  0x4f8cfcbe, 0xc1eb0209, 0x4f80cbdc, 0xc1e7f591,
-  0x4f749a61, 0xc1e4eb7e, 0x4f68684e, 0xc1e1e3d0,
-  0x4f5c35a3, 0xc1dede87, 0x4f500260, 0xc1dbdba3,
-  0x4f43ce86, 0xc1d8db25, 0x4f379a16, 0xc1d5dd0c,
-  0x4f2b650f, 0xc1d2e158, 0x4f1f2f73, 0xc1cfe80a,
-  0x4f12f941, 0xc1ccf122, 0x4f06c27a, 0xc1c9fca0,
-  0x4efa8b20, 0xc1c70a84, 0x4eee5331, 0xc1c41ace,
-  0x4ee21aaf, 0xc1c12d7e, 0x4ed5e19a, 0xc1be4294,
-  0x4ec9a7f3, 0xc1bb5a11, 0x4ebd6db9, 0xc1b873f5,
-  0x4eb132ef, 0xc1b5903f, 0x4ea4f793, 0xc1b2aef0,
-  0x4e98bba7, 0xc1afd007, 0x4e8c7f2a, 0xc1acf386,
-  0x4e80421e, 0xc1aa196c, 0x4e740483, 0xc1a741b9,
-  0x4e67c65a, 0xc1a46c6e, 0x4e5b87a2, 0xc1a1998a,
-  0x4e4f485c, 0xc19ec90d, 0x4e430889, 0xc19bfaf9,
-  0x4e36c82a, 0xc1992f4c, 0x4e2a873e, 0xc1966606,
-  0x4e1e45c6, 0xc1939f29, 0x4e1203c3, 0xc190dab4,
-  0x4e05c135, 0xc18e18a7, 0x4df97e1d, 0xc18b5903,
-  0x4ded3a7b, 0xc1889bc6, 0x4de0f64f, 0xc185e0f3,
-  0x4dd4b19a, 0xc1832888, 0x4dc86c5d, 0xc1807285,
-  0x4dbc2698, 0xc17dbeec, 0x4dafe04b, 0xc17b0dbb,
-  0x4da39978, 0xc1785ef4, 0x4d97521d, 0xc175b296,
-  0x4d8b0a3d, 0xc17308a1, 0x4d7ec1d6, 0xc1706115,
-  0x4d7278eb, 0xc16dbbf3, 0x4d662f7b, 0xc16b193a,
-  0x4d59e586, 0xc16878eb, 0x4d4d9b0e, 0xc165db05,
-  0x4d415013, 0xc1633f8a, 0x4d350495, 0xc160a678,
-  0x4d28b894, 0xc15e0fd1, 0x4d1c6c11, 0xc15b7b94,
-  0x4d101f0e, 0xc158e9c1, 0x4d03d189, 0xc1565a58,
-  0x4cf78383, 0xc153cd5a, 0x4ceb34fe, 0xc15142c6,
-  0x4cdee5f9, 0xc14eba9d, 0x4cd29676, 0xc14c34df,
-  0x4cc64673, 0xc149b18b, 0x4cb9f5f3, 0xc14730a3,
-  0x4cada4f5, 0xc144b225, 0x4ca1537a, 0xc1423613,
-  0x4c950182, 0xc13fbc6c, 0x4c88af0e, 0xc13d4530,
-  0x4c7c5c1e, 0xc13ad060, 0x4c7008b3, 0xc1385dfb,
-  0x4c63b4ce, 0xc135ee02, 0x4c57606e, 0xc1338075,
-  0x4c4b0b94, 0xc1311553, 0x4c3eb641, 0xc12eac9d,
-  0x4c326075, 0xc12c4653, 0x4c260a31, 0xc129e276,
-  0x4c19b374, 0xc1278104, 0x4c0d5c41, 0xc12521ff,
-  0x4c010496, 0xc122c566, 0x4bf4ac75, 0xc1206b39,
-  0x4be853de, 0xc11e1379, 0x4bdbfad1, 0xc11bbe26,
-  0x4bcfa150, 0xc1196b3f, 0x4bc34759, 0xc1171ac6,
-  0x4bb6ecef, 0xc114ccb9, 0x4baa9211, 0xc1128119,
-  0x4b9e36c0, 0xc11037e6, 0x4b91dafc, 0xc10df120,
-  0x4b857ec7, 0xc10bacc8, 0x4b79221f, 0xc1096add,
-  0x4b6cc506, 0xc1072b5f, 0x4b60677c, 0xc104ee4f,
-  0x4b540982, 0xc102b3ac, 0x4b47ab19, 0xc1007b77,
-  0x4b3b4c40, 0xc0fe45b0, 0x4b2eecf8, 0xc0fc1257,
-  0x4b228d42, 0xc0f9e16b, 0x4b162d1d, 0xc0f7b2ee,
-  0x4b09cc8c, 0xc0f586df, 0x4afd6b8d, 0xc0f35d3e,
-  0x4af10a22, 0xc0f1360b, 0x4ae4a84b, 0xc0ef1147,
-  0x4ad84609, 0xc0eceef1, 0x4acbe35b, 0xc0eacf09,
-  0x4abf8043, 0xc0e8b190, 0x4ab31cc1, 0xc0e69686,
-  0x4aa6b8d5, 0xc0e47deb, 0x4a9a5480, 0xc0e267be,
-  0x4a8defc3, 0xc0e05401, 0x4a818a9d, 0xc0de42b2,
-  0x4a752510, 0xc0dc33d2, 0x4a68bf1b, 0xc0da2762,
-  0x4a5c58c0, 0xc0d81d61, 0x4a4ff1fe, 0xc0d615cf,
-  0x4a438ad7, 0xc0d410ad, 0x4a37234a, 0xc0d20dfa,
-  0x4a2abb59, 0xc0d00db6, 0x4a1e5303, 0xc0ce0fe3,
-  0x4a11ea49, 0xc0cc147f, 0x4a05812c, 0xc0ca1b8a,
-  0x49f917ac, 0xc0c82506, 0x49ecadc9, 0xc0c630f2,
-  0x49e04385, 0xc0c43f4d, 0x49d3d8df, 0xc0c25019,
-  0x49c76dd8, 0xc0c06355, 0x49bb0271, 0xc0be7901,
-  0x49ae96aa, 0xc0bc911d, 0x49a22a83, 0xc0baabaa,
-  0x4995bdfd, 0xc0b8c8a7, 0x49895118, 0xc0b6e815,
-  0x497ce3d5, 0xc0b509f3, 0x49707635, 0xc0b32e42,
-  0x49640837, 0xc0b15502, 0x495799dd, 0xc0af7e33,
-  0x494b2b27, 0xc0ada9d4, 0x493ebc14, 0xc0abd7e6,
-  0x49324ca7, 0xc0aa086a, 0x4925dcdf, 0xc0a83b5e,
-  0x49196cbc, 0xc0a670c4, 0x490cfc40, 0xc0a4a89b,
-  0x49008b6a, 0xc0a2e2e3, 0x48f41a3c, 0xc0a11f9d,
-  0x48e7a8b5, 0xc09f5ec8, 0x48db36d6, 0xc09da065,
-  0x48cec4a0, 0xc09be473, 0x48c25213, 0xc09a2af3,
-  0x48b5df30, 0xc09873e4, 0x48a96bf6, 0xc096bf48,
-  0x489cf867, 0xc0950d1d, 0x48908483, 0xc0935d64,
-  0x4884104b, 0xc091b01d, 0x48779bbe, 0xc0900548,
-  0x486b26de, 0xc08e5ce5, 0x485eb1ab, 0xc08cb6f5,
-  0x48523c25, 0xc08b1376, 0x4845c64d, 0xc089726a,
-  0x48395024, 0xc087d3d0, 0x482cd9a9, 0xc08637a9,
-  0x482062de, 0xc0849df4, 0x4813ebc2, 0xc08306b2,
-  0x48077457, 0xc08171e2, 0x47fafc9c, 0xc07fdf85,
-  0x47ee8493, 0xc07e4f9b, 0x47e20c3b, 0xc07cc223,
-  0x47d59396, 0xc07b371e, 0x47c91aa3, 0xc079ae8c,
-  0x47bca163, 0xc078286e, 0x47b027d7, 0xc076a4c2,
-  0x47a3adff, 0xc0752389, 0x479733dc, 0xc073a4c3,
-  0x478ab96e, 0xc0722871, 0x477e3eb5, 0xc070ae92,
-  0x4771c3b3, 0xc06f3726, 0x47654867, 0xc06dc22e,
-  0x4758ccd2, 0xc06c4fa8, 0x474c50f4, 0xc06adf97,
-  0x473fd4cf, 0xc06971f9, 0x47335862, 0xc06806ce,
-  0x4726dbae, 0xc0669e18, 0x471a5eb3, 0xc06537d4,
-  0x470de172, 0xc063d405, 0x470163eb, 0xc06272aa,
-  0x46f4e620, 0xc06113c2, 0x46e86810, 0xc05fb74e,
-  0x46dbe9bb, 0xc05e5d4e, 0x46cf6b23, 0xc05d05c3,
-  0x46c2ec48, 0xc05bb0ab, 0x46b66d29, 0xc05a5e07,
-  0x46a9edc9, 0xc0590dd8, 0x469d6e27, 0xc057c01d,
-  0x4690ee44, 0xc05674d6, 0x46846e1f, 0xc0552c03,
-  0x4677edbb, 0xc053e5a5, 0x466b6d16, 0xc052a1bb,
-  0x465eec33, 0xc0516045, 0x46526b10, 0xc0502145,
-  0x4645e9af, 0xc04ee4b8, 0x46396810, 0xc04daaa1,
-  0x462ce634, 0xc04c72fe, 0x4620641a, 0xc04b3dcf,
-  0x4613e1c5, 0xc04a0b16, 0x46075f33, 0xc048dad1,
-  0x45fadc66, 0xc047ad01, 0x45ee595d, 0xc04681a6,
-  0x45e1d61b, 0xc04558c0, 0x45d5529e, 0xc044324f,
-  0x45c8cee7, 0xc0430e53, 0x45bc4af8, 0xc041eccc,
-  0x45afc6d0, 0xc040cdba, 0x45a3426f, 0xc03fb11d,
-  0x4596bdd7, 0xc03e96f6, 0x458a3908, 0xc03d7f44,
-  0x457db403, 0xc03c6a07, 0x45712ec7, 0xc03b573f,
-  0x4564a955, 0xc03a46ed, 0x455823ae, 0xc0393910,
-  0x454b9dd3, 0xc0382da8, 0x453f17c3, 0xc03724b6,
-  0x4532917f, 0xc0361e3a, 0x45260b08, 0xc0351a33,
-  0x4519845e, 0xc03418a2, 0x450cfd82, 0xc0331986,
-  0x45007674, 0xc0321ce0, 0x44f3ef35, 0xc03122b0,
-  0x44e767c5, 0xc0302af5, 0x44dae024, 0xc02f35b1,
-  0x44ce5854, 0xc02e42e2, 0x44c1d054, 0xc02d5289,
-  0x44b54825, 0xc02c64a6, 0x44a8bfc7, 0xc02b7939,
-  0x449c373c, 0xc02a9042, 0x448fae83, 0xc029a9c1,
-  0x4483259d, 0xc028c5b6, 0x44769c8b, 0xc027e421,
-  0x446a134c, 0xc0270502, 0x445d89e2, 0xc0262859,
-  0x4451004d, 0xc0254e27, 0x4444768d, 0xc024766a,
-  0x4437eca4, 0xc023a124, 0x442b6290, 0xc022ce54,
-  0x441ed854, 0xc021fdfb, 0x44124dee, 0xc0213018,
-  0x4405c361, 0xc02064ab, 0x43f938ac, 0xc01f9bb5,
-  0x43ecadcf, 0xc01ed535, 0x43e022cc, 0xc01e112b,
-  0x43d397a3, 0xc01d4f99, 0x43c70c54, 0xc01c907c,
-  0x43ba80df, 0xc01bd3d6, 0x43adf546, 0xc01b19a7,
-  0x43a16988, 0xc01a61ee, 0x4394dda7, 0xc019acac,
-  0x438851a2, 0xc018f9e1, 0x437bc57b, 0xc018498c,
-  0x436f3931, 0xc0179bae, 0x4362acc5, 0xc016f047,
-  0x43562038, 0xc0164757, 0x43499389, 0xc015a0dd,
-  0x433d06bb, 0xc014fcda, 0x433079cc, 0xc0145b4e,
-  0x4323ecbe, 0xc013bc39, 0x43175f91, 0xc0131f9b,
-  0x430ad245, 0xc0128574, 0x42fe44dc, 0xc011edc3,
-  0x42f1b755, 0xc011588a, 0x42e529b0, 0xc010c5c7,
-  0x42d89bf0, 0xc010357c, 0x42cc0e13, 0xc00fa7a8,
-  0x42bf801a, 0xc00f1c4a, 0x42b2f207, 0xc00e9364,
-  0x42a663d8, 0xc00e0cf5, 0x4299d590, 0xc00d88fd,
-  0x428d472e, 0xc00d077c, 0x4280b8b3, 0xc00c8872,
-  0x42742a1f, 0xc00c0be0, 0x42679b73, 0xc00b91c4,
-  0x425b0caf, 0xc00b1a20, 0x424e7dd4, 0xc00aa4f3,
-  0x4241eee2, 0xc00a323d, 0x42355fd9, 0xc009c1ff,
-  0x4228d0bb, 0xc0095438, 0x421c4188, 0xc008e8e8,
-  0x420fb240, 0xc008800f, 0x420322e3, 0xc00819ae,
-  0x41f69373, 0xc007b5c4, 0x41ea03ef, 0xc0075452,
-  0x41dd7459, 0xc006f556, 0x41d0e4b0, 0xc00698d3,
-  0x41c454f5, 0xc0063ec6, 0x41b7c528, 0xc005e731,
-  0x41ab354b, 0xc0059214, 0x419ea55d, 0xc0053f6e,
-  0x4192155f, 0xc004ef3f, 0x41858552, 0xc004a188,
-  0x4178f536, 0xc0045648, 0x416c650b, 0xc0040d80,
-  0x415fd4d2, 0xc003c72f, 0x4153448c, 0xc0038356,
-  0x4146b438, 0xc00341f4, 0x413a23d8, 0xc003030a,
-  0x412d936c, 0xc002c697, 0x412102f4, 0xc0028c9c,
-  0x41147271, 0xc0025519, 0x4107e1e3, 0xc002200d,
-  0x40fb514b, 0xc001ed78, 0x40eec0aa, 0xc001bd5c,
-  0x40e22fff, 0xc0018fb6, 0x40d59f4c, 0xc0016489,
-  0x40c90e90, 0xc0013bd3, 0x40bc7dcc, 0xc0011594,
-  0x40afed02, 0xc000f1ce, 0x40a35c30, 0xc000d07e,
-  0x4096cb58, 0xc000b1a7, 0x408a3a7b, 0xc0009547,
-  0x407da998, 0xc0007b5f, 0x407118b0, 0xc00063ee,
-  0x406487c4, 0xc0004ef5, 0x4057f6d4, 0xc0003c74,
-  0x404b65e1, 0xc0002c6a, 0x403ed4ea, 0xc0001ed8,
-  0x403243f1, 0xc00013bd, 0x4025b2f7, 0xc0000b1a,
-  0x401921fb, 0xc00004ef, 0x400c90fe, 0xc000013c,
-};
-
-/**    
-* @brief  Initialization function for the Q31 RFFT/RIFFT.   
-* @param[in, out] *S             points to an instance of the Q31 RFFT/RIFFT structure.   
-* @param[in, out] *S_CFFT        points to an instance of the Q31 CFFT/CIFFT structure.   
-* @param[in]      fftLenReal     length of the FFT.   
-* @param[in]      ifftFlagR      flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform.   
-* @param[in]      bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.   
-* @return		The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLenReal is not a supported value.   
-*    
-* \par Description:   
-* \par   
-* The parameter fftLenReal	Specifies length of RFFT/RIFFT Process. Supported FFT Lengths are 128, 512, 2048.    
-* \par    
-* The parameter ifftFlagR controls whether a forward or inverse transform is computed.    
-* Set(=1) ifftFlagR to calculate RIFFT, otherwise RFFT is calculated.    
-* \par    
-* The parameter bitReverseFlag controls whether output is in normal order or bit reversed order.    
-* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.   
-* \par    
-* This function also initializes Twiddle factor table.    
-*/
-
-arm_status arm_rfft_init_q31(
-  arm_rfft_instance_q31 * S,
-  arm_cfft_radix4_instance_q31 * S_CFFT,
-  uint32_t fftLenReal,
-  uint32_t ifftFlagR,
-  uint32_t bitReverseFlag)
-{
-  /*  Initialise the default arm status */
-  arm_status status = ARM_MATH_SUCCESS;
-
-  /*  Initialize the Real FFT length */
-  S->fftLenReal = (uint16_t) fftLenReal;
-
-  /*  Initialize the Complex FFT length */
-  S->fftLenBy2 = (uint16_t) fftLenReal / 2u;
-
-  /*  Initialize the Twiddle coefficientA pointer */
-  S->pTwiddleAReal = (q31_t *) realCoefAQ31;
-
-  /*  Initialize the Twiddle coefficientB pointer */
-  S->pTwiddleBReal = (q31_t *) realCoefBQ31;
-
-  /*  Initialize the Flag for selection of RFFT or RIFFT */
-  S->ifftFlagR = (uint8_t) ifftFlagR;
-
-  /*  Initialize the Flag for calculation Bit reversal or not */
-  S->bitReverseFlagR = (uint8_t) bitReverseFlag;
-
-  /*  Initialization of coef modifier depending on the FFT length */
-  switch (S->fftLenReal)
-  {
-  case 8192:
-    S->twidCoefRModifier = 1u;
-    break;
-  case 2048u:
-    S->twidCoefRModifier = 4u;
-    break;
-  case 512u:
-    S->twidCoefRModifier = 16u;
-    break;
-  case 128u:
-    S->twidCoefRModifier = 64u;
-    break;
-  default:
-    /*  Reporting argument error if rfftSize is not valid value */
-    status = ARM_MATH_ARGUMENT_ERROR;
-    break;
-  }
-
-  /* Init Complex FFT Instance */
-  S->pCfft = S_CFFT;
-
-  if(S->ifftFlagR)
-  {
-    /* Initializes the CIFFT Module for fftLenreal/2 length */
-    arm_cfft_radix4_init_q31(S->pCfft, (uint16_t) S->fftLenBy2, 1u, 1u);
-  }
-  else
-  {
-    /* Initializes the CFFT Module for fftLenreal/2 length */
-    arm_cfft_radix4_init_q31(S->pCfft, (uint16_t) S->fftLenBy2, 0u, 1u);
-  }
-
-  /* return the status of RFFT Init function */
-  return (status);
-
-}
-
-  /**    
-   * @} end of RFFT_RIFFT group    
-   */
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_q15.c b/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_q15.c
deleted file mode 100644
index c0c201277..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_q15.c
+++ /dev/null
@@ -1,460 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_rfft_q15.c    
-*    
-* Description:	RFFT & RIFFT Q15 process function    
-*    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* -------------------------------------------------------------------- */
-
-
-#include "arm_math.h"
-
-/*--------------------------------------------------------------------    
-*		Internal functions prototypes    
---------------------------------------------------------------------*/
-
-void arm_split_rfft_q15(
-  q15_t * pSrc,
-  uint32_t fftLen,
-  q15_t * pATable,
-  q15_t * pBTable,
-  q15_t * pDst,
-  uint32_t modifier);
-
-void arm_split_rifft_q15(
-  q15_t * pSrc,
-  uint32_t fftLen,
-  q15_t * pATable,
-  q15_t * pBTable,
-  q15_t * pDst,
-  uint32_t modifier);
-
-/**    
- * @addtogroup RFFT_RIFFT    
- * @{    
- */
-
-/**    
- * @brief Processing function for the Q15 RFFT/RIFFT.   
- * @param[in]  *S    points to an instance of the Q15 RFFT/RIFFT structure.   
- * @param[in]  *pSrc points to the input buffer.   
- * @param[out] *pDst points to the output buffer.   
- * @return none.   
- *    
- * \par Input an output formats:   
- * \par    
- * Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process.    
- * Hence the output format is different for different RFFT sizes.    
- * The input and output formats for different RFFT sizes and number of bits to upscale are mentioned in the tables below for RFFT and RIFFT:   
- * \par    
- * \image html RFFTQ15.gif "Input and Output Formats for Q15 RFFT"    
- * \par    
- * \image html RIFFTQ15.gif "Input and Output Formats for Q15 RIFFT"    
- */
-
-void arm_rfft_q15(
-  const arm_rfft_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst)
-{
-  const arm_cfft_radix4_instance_q15 *S_CFFT = S->pCfft;
-
-  /* Calculation of RIFFT of input */
-  if(S->ifftFlagR == 1u)
-  {
-    /*  Real IFFT core process */
-    arm_split_rifft_q15(pSrc, S->fftLenBy2, S->pTwiddleAReal,
-                        S->pTwiddleBReal, pDst, S->twidCoefRModifier);
-
-    /* Complex readix-4 IFFT process */
-    arm_radix4_butterfly_inverse_q15(pDst, S_CFFT->fftLen,
-                                     S_CFFT->pTwiddle,
-                                     S_CFFT->twidCoefModifier);
-
-    /* Bit reversal process */
-    if(S->bitReverseFlagR == 1u)
-    {
-      arm_bitreversal_q15(pDst, S_CFFT->fftLen,
-                          S_CFFT->bitRevFactor, S_CFFT->pBitRevTable);
-    }
-  }
-  else
-  {
-    /* Calculation of RFFT of input */
-
-    /* Complex readix-4 FFT process */
-    arm_radix4_butterfly_q15(pSrc, S_CFFT->fftLen,
-                             S_CFFT->pTwiddle, S_CFFT->twidCoefModifier);
-
-    /* Bit reversal process */
-    if(S->bitReverseFlagR == 1u)
-    {
-      arm_bitreversal_q15(pSrc, S_CFFT->fftLen,
-                          S_CFFT->bitRevFactor, S_CFFT->pBitRevTable);
-    }
-
-    arm_split_rfft_q15(pSrc, S->fftLenBy2, S->pTwiddleAReal,
-                       S->pTwiddleBReal, pDst, S->twidCoefRModifier);
-  }
-
-}
-
-  /**    
-   * @} end of RFFT_RIFFT group    
-   */
-
-/**    
- * @brief  Core Real FFT process    
- * @param  *pSrc 				points to the input buffer.   
- * @param  fftLen  				length of FFT.   
- * @param  *pATable 			points to the A twiddle Coef buffer.    
- * @param  *pBTable 			points to the B twiddle Coef buffer.   
- * @param  *pDst 				points to the output buffer.   
- * @param  modifier 	        twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
- * @return none.    
- * The function implements a Real FFT    
- */
-
-void arm_split_rfft_q15(
-  q15_t * pSrc,
-  uint32_t fftLen,
-  q15_t * pATable,
-  q15_t * pBTable,
-  q15_t * pDst,
-  uint32_t modifier)
-{
-  uint32_t i;                                    /* Loop Counter */
-  q31_t outR, outI;                              /* Temporary variables for output */
-  q15_t *pCoefA, *pCoefB;                        /* Temporary pointers for twiddle factors */
-  q15_t *pSrc1, *pSrc2;
-
-
-//  pSrc[2u * fftLen] = pSrc[0]; 
-//  pSrc[(2u * fftLen) + 1u] = pSrc[1]; 
-
-  pCoefA = &pATable[modifier * 2u];
-  pCoefB = &pBTable[modifier * 2u];
-
-  pSrc1 = &pSrc[2];
-  pSrc2 = &pSrc[(2u * fftLen) - 2u];
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  i = 1u;
-
-  while(i < fftLen)
-  {
-    /*    
-       outR = (pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1]    
-       + pSrc[2 * n - 2 * i] * pBTable[2 * i] +    
-       pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);    
-     */
-
-    /* outI = (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] +    
-       pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -    
-       pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); */
-
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    /* pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1] */
-    outR = __SMUSD(*__SIMD32(pSrc1), *__SIMD32(pCoefA));
-
-#else
-
-    /* -(pSrc[2 * i + 1] * pATable[2 * i + 1] - pSrc[2 * i] * pATable[2 * i]) */
-    outR = -(__SMUSD(*__SIMD32(pSrc1), *__SIMD32(pCoefA)));
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-    /* pSrc[2 * n - 2 * i] * pBTable[2 * i] +    
-       pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]) */
-    outR = __SMLAD(*__SIMD32(pSrc2), *__SIMD32(pCoefB), outR) >> 15u;
-
-    /* pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -    
-       pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    outI = __SMUSDX(*__SIMD32(pSrc2)--, *__SIMD32(pCoefB));
-
-#else
-
-    outI = __SMUSDX(*__SIMD32(pCoefB), *__SIMD32(pSrc2)--);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-    /* (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] */
-    outI = __SMLADX(*__SIMD32(pSrc1)++, *__SIMD32(pCoefA), outI);
-
-    /* write output */
-    pDst[2u * i] = (q15_t) outR;
-    pDst[(2u * i) + 1u] = outI >> 15u;
-
-    /* write complex conjugate output */
-    pDst[(4u * fftLen) - (2u * i)] = (q15_t) outR;
-    pDst[((4u * fftLen) - (2u * i)) + 1u] = -(outI >> 15u);
-
-    /* update coefficient pointer */
-    pCoefB = pCoefB + (2u * modifier);
-    pCoefA = pCoefA + (2u * modifier);
-
-    i++;
-
-  }
-
-  pDst[2u * fftLen] = pSrc[0] - pSrc[1];
-  pDst[(2u * fftLen) + 1u] = 0;
-
-  pDst[0] = pSrc[0] + pSrc[1];
-  pDst[1] = 0;
-
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  i = 1u;
-
-  while(i < fftLen)
-  {
-    /*    
-       outR = (pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1]    
-       + pSrc[2 * n - 2 * i] * pBTable[2 * i] +    
-       pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);    
-     */
-
-    outR = *pSrc1 * *pCoefA;
-    outR = outR - (*(pSrc1 + 1) * *(pCoefA + 1));
-    outR = outR + (*pSrc2 * *pCoefB);
-    outR = (outR + (*(pSrc2 + 1) * *(pCoefB + 1))) >> 15;
-
-
-    /* outI = (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] +    
-       pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -    
-       pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);   
-     */
-
-    outI = *pSrc2 * *(pCoefB + 1);
-    outI = outI - (*(pSrc2 + 1) * *pCoefB);
-    outI = outI + (*(pSrc1 + 1) * *pCoefA);
-    outI = outI + (*pSrc1 * *(pCoefA + 1));
-
-    /* update input pointers */
-    pSrc1 += 2u;
-    pSrc2 -= 2u;
-
-    /* write output */
-    pDst[2u * i] = (q15_t) outR;
-    pDst[(2u * i) + 1u] = outI >> 15u;
-
-    /* write complex conjugate output */
-    pDst[(4u * fftLen) - (2u * i)] = (q15_t) outR;
-    pDst[((4u * fftLen) - (2u * i)) + 1u] = -(outI >> 15u);
-
-    /* update coefficient pointer */
-    pCoefB = pCoefB + (2u * modifier);
-    pCoefA = pCoefA + (2u * modifier);
-
-    i++;
-
-  }
-
-  pDst[2u * fftLen] = pSrc[0] - pSrc[1];
-  pDst[(2u * fftLen) + 1u] = 0;
-
-  pDst[0] = pSrc[0] + pSrc[1];
-  pDst[1] = 0;
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-}
-
-
-/**    
- * @brief  Core Real IFFT process    
- * @param[in]   *pSrc 				points to the input buffer.    
- * @param[in]   fftLen  		    length of FFT.   
- * @param[in]   *pATable 			points to the twiddle Coef A buffer.   
- * @param[in]   *pBTable 			points to the twiddle Coef B buffer.    
- * @param[out]  *pDst 				points to the output buffer.   
- * @param[in]   modifier 	        twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
- * @return none.    
- * The function implements a Real IFFT    
- */
-void arm_split_rifft_q15(
-  q15_t * pSrc,
-  uint32_t fftLen,
-  q15_t * pATable,
-  q15_t * pBTable,
-  q15_t * pDst,
-  uint32_t modifier)
-{
-  uint32_t i;                                    /* Loop Counter */
-  q31_t outR, outI;                              /* Temporary variables for output */
-  q15_t *pCoefA, *pCoefB;                        /* Temporary pointers for twiddle factors */
-  q15_t *pSrc1, *pSrc2;
-  q15_t *pDst1 = &pDst[0];
-
-  pCoefA = &pATable[0];
-  pCoefB = &pBTable[0];
-
-  pSrc1 = &pSrc[0];
-  pSrc2 = &pSrc[2u * fftLen];
-
-#ifndef ARM_MATH_CM0
-
-  /* Run the below code for Cortex-M4 and Cortex-M3 */
-
-  i = fftLen;
-
-  while(i > 0u)
-  {
-
-    /*    
-       outR = (pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] +    
-       pIn[2 * n - 2 * i] * pBTable[2 * i] -    
-       pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);    
-
-       outI = (pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] -    
-       pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -    
-       pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);    
-
-     */
-
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    /* pIn[2 * n - 2 * i] * pBTable[2 * i] -    
-       pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]) */
-    outR = __SMUSD(*__SIMD32(pSrc2), *__SIMD32(pCoefB));
-
-#else
-
-    /* -(-pIn[2 * n - 2 * i] * pBTable[2 * i] +  
-       pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1])) */
-    outR = -(__SMUSD(*__SIMD32(pSrc2), *__SIMD32(pCoefB)));
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-    /* pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] +    
-       pIn[2 * n - 2 * i] * pBTable[2 * i] */
-    outR = __SMLAD(*__SIMD32(pSrc1), *__SIMD32(pCoefA), outR) >> 15u;
-
-    /*    
-       -pIn[2 * n - 2 * i] * pBTable[2 * i + 1] +    
-       pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */
-    outI = __SMUADX(*__SIMD32(pSrc2)--, *__SIMD32(pCoefB));
-
-    /* pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] */
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    outI = __SMLSDX(*__SIMD32(pCoefA), *__SIMD32(pSrc1)++, -outI);
-
-#else
-
-    outI = __SMLSDX(*__SIMD32(pSrc1)++, *__SIMD32(pCoefA), -outI);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-    /* write output */
-
-#ifndef ARM_MATH_BIG_ENDIAN
-
-    *__SIMD32(pDst1)++ = __PKHBT(outR, (outI >> 15u), 16);
-
-#else
-
-    *__SIMD32(pDst1)++ = __PKHBT((outI >> 15u), outR, 16);
-
-#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
-
-    /* update coefficient pointer */
-    pCoefB = pCoefB + (2u * modifier);
-    pCoefA = pCoefA + (2u * modifier);
-
-    i--;
-
-  }
-
-
-#else
-
-  /* Run the below code for Cortex-M0 */
-
-  i = fftLen;
-
-  while(i > 0u)
-  {
-
-    /*    
-       outR = (pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] +    
-       pIn[2 * n - 2 * i] * pBTable[2 * i] -    
-       pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);    
-     */
-
-    outR = *pSrc2 * *pCoefB;
-    outR = outR - (*(pSrc2 + 1) * *(pCoefB + 1));
-    outR = outR + (*pSrc1 * *pCoefA);
-    outR = (outR + (*(pSrc1 + 1) * *(pCoefA + 1))) >> 15;
-
-    /*   
-       outI = (pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] -   
-       pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -   
-       pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);   
-     */
-
-    outI = *(pSrc1 + 1) * *pCoefA;
-    outI = outI - (*pSrc1 * *(pCoefA + 1));
-    outI = outI - (*pSrc2 * *(pCoefB + 1));
-    outI = outI - (*(pSrc2 + 1) * *(pCoefB));
-
-    /* update input pointers */
-    pSrc1 += 2u;
-    pSrc2 -= 2u;
-
-    /* write output */
-    *pDst1++ = (q15_t) outR;
-    *pDst1++ = (q15_t) (outI >> 15);
-
-    /* update coefficient pointer */
-    pCoefB = pCoefB + (2u * modifier);
-    pCoefA = pCoefA + (2u * modifier);
-
-    i--;
-
-  }
-
-#endif /* #ifndef ARM_MATH_CM0 */
-
-}
diff --git a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_q31.c b/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_q31.c
deleted file mode 100644
index afcb47041..000000000
--- a/apps/mathlib/CMSIS/DSP_Lib/Source/TransformFunctions/arm_rfft_q31.c
+++ /dev/null
@@ -1,326 +0,0 @@
-/* ----------------------------------------------------------------------    
-* Copyright (C) 2010 ARM Limited. All rights reserved.    
-*    
-* $Date:        15. February 2012  
-* $Revision: 	V1.1.0  
-*    
-* Project: 	    CMSIS DSP Library    
-* Title:	    arm_rfft_q31.c    
-*    
-* Description:	RFFT & RIFFT Q31 process function    
-*    
-*    
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*  
-* Version 1.1.0 2012/02/15 
-*    Updated with more optimizations, bug fixes and minor API changes.  
-*   
-* Version 1.0.10 2011/7/15  
-*    Big Endian support added and Merged M0 and M3/M4 Source code.   
-*    
-* Version 1.0.3 2010/11/29   
-*    Re-organized the CMSIS folders and updated documentation.    
-*     
-* Version 1.0.2 2010/11/11    
-*    Documentation updated.     
-*    
-* Version 1.0.1 2010/10/05     
-*    Production release and review comments incorporated.    
-*    
-* Version 1.0.0 2010/09/20     
-*    Production release and review comments incorporated.    
-*    
-* Version 0.0.7  2010/06/10     
-*    Misra-C changes done    
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/*--------------------------------------------------------------------    
-*		Internal functions prototypes    
---------------------------------------------------------------------*/
-
-void arm_split_rfft_q31(
-  q31_t * pSrc,
-  uint32_t fftLen,
-  q31_t * pATable,
-  q31_t * pBTable,
-  q31_t * pDst,
-  uint32_t modifier);
-
-void arm_split_rifft_q31(
-  q31_t * pSrc,
-  uint32_t fftLen,
-  q31_t * pATable,
-  q31_t * pBTable,
-  q31_t * pDst,
-  uint32_t modifier);
-
-/**    
- * @addtogroup RFFT_RIFFT    
- * @{    
- */
-
-/**    
- * @brief Processing function for the Q31 RFFT/RIFFT.   
- * @param[in]  *S    points to an instance of the Q31 RFFT/RIFFT structure.   
- * @param[in]  *pSrc points to the input buffer.   
- * @param[out] *pDst points to the output buffer.   
- * @return none.   
- *    
- * \par Input an output formats:   
- * \par    
- * Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process.   
- * Hence the output format is different for different RFFT sizes.    
- * The input and output formats for different RFFT sizes and number of bits to upscale are mentioned in the tables below for RFFT and RIFFT:   
- * \par    
- * \image html RFFTQ31.gif "Input and Output Formats for Q31 RFFT"    
- *    
- * \par    
- * \image html RIFFTQ31.gif "Input and Output Formats for Q31 RIFFT"    
- */
-
-void arm_rfft_q31(
-  const arm_rfft_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst)
-{
-  const arm_cfft_radix4_instance_q31 *S_CFFT = S->pCfft;
-
-  /* Calculation of RIFFT of input */
-  if(S->ifftFlagR == 1u)
-  {
-    /*  Real IFFT core process */
-    arm_split_rifft_q31(pSrc, S->fftLenBy2, S->pTwiddleAReal,
-                        S->pTwiddleBReal, pDst, S->twidCoefRModifier);
-
-    /* Complex readix-4 IFFT process */
-    arm_radix4_butterfly_inverse_q31(pDst, S_CFFT->fftLen,
-                                     S_CFFT->pTwiddle,
-                                     S_CFFT->twidCoefModifier);
-    /* Bit reversal process */
-    if(S->bitReverseFlagR == 1u)
-    {
-      arm_bitreversal_q31(pDst, S_CFFT->fftLen,
-                          S_CFFT->bitRevFactor, S_CFFT->pBitRevTable);
-    }
-  }
-  else
-  {
-    /* Calculation of RFFT of input */
-
-    /* Complex readix-4 FFT process */
-    arm_radix4_butterfly_q31(pSrc, S_CFFT->fftLen,
-                             S_CFFT->pTwiddle, S_CFFT->twidCoefModifier);
-
-    /* Bit reversal process */
-    if(S->bitReverseFlagR == 1u)
-    {
-      arm_bitreversal_q31(pSrc, S_CFFT->fftLen,
-                          S_CFFT->bitRevFactor, S_CFFT->pBitRevTable);
-    }
-
-    /*  Real FFT core process */
-    arm_split_rfft_q31(pSrc, S->fftLenBy2, S->pTwiddleAReal,
-                       S->pTwiddleBReal, pDst, S->twidCoefRModifier);
-  }
-
-}
-
-
-  /**    
-   * @} end of RFFT_RIFFT group    
-   */
-
-/**    
- * @brief  Core Real FFT process    
- * @param[in]   *pSrc 				points to the input buffer.    
- * @param[in]   fftLen  			length of FFT.   
- * @param[in]   *pATable 			points to the twiddle Coef A buffer.    
- * @param[in]   *pBTable 			points to the twiddle Coef B buffer.    
- * @param[out]  *pDst 				points to the output buffer.    
- * @param[in]   modifier 	        twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
- * @return none.    
- */
-
-void arm_split_rfft_q31(
-  q31_t * pSrc,
-  uint32_t fftLen,
-  q31_t * pATable,
-  q31_t * pBTable,
-  q31_t * pDst,
-  uint32_t modifier)
-{
-  uint32_t i;                                    /* Loop Counter */
-  q31_t outR, outI;                              /* Temporary variables for output */
-  q31_t *pCoefA, *pCoefB;                        /* Temporary pointers for twiddle factors */
-  q31_t CoefA1, CoefA2, CoefB1;                  /* Temporary variables for twiddle coefficients */
-  q31_t *pOut1 = &pDst[2], *pOut2 = &pDst[(4u * fftLen) - 1u];
-  q31_t *pIn1 = &pSrc[2], *pIn2 = &pSrc[(2u * fftLen) - 1u];
-
-  /* Init coefficient pointers */
-  pCoefA = &pATable[modifier * 2u];
-  pCoefB = &pBTable[modifier * 2u];
-
-  i = fftLen - 1u;
-
-  while(i > 0u)
-  {
-    /*    
-       outR = (pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1]    
-       + pSrc[2 * n - 2 * i] * pBTable[2 * i] +    
-       pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);    
-     */
-
-    /* outI = (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] +    
-       pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -    
-       pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); */
-
-    CoefA1 = *pCoefA++;
-    CoefA2 = *pCoefA;
-
-    /* outR = (pSrc[2 * i] * pATable[2 * i] */
-    outR = ((int32_t) (((q63_t) * pIn1 * CoefA1) >> 32));
-
-    /* outI = pIn[2 * i] * pATable[2 * i + 1] */
-    outI = ((int32_t) (((q63_t) * pIn1++ * CoefA2) >> 32));
-
-    /* - pSrc[2 * i + 1] * pATable[2 * i + 1] */
-    outR =
-      (q31_t) ((((q63_t) outR << 32) + ((q63_t) * pIn1 * (-CoefA2))) >> 32);
-
-    /* (pIn[2 * i + 1] * pATable[2 * i] */
-    outI =
-      (q31_t) ((((q63_t) outI << 32) + ((q63_t) * pIn1++ * (CoefA1))) >> 32);
-
-    /* pSrc[2 * n - 2 * i] * pBTable[2 * i]  */
-    outR =
-      (q31_t) ((((q63_t) outR << 32) + ((q63_t) * pIn2 * (-CoefA2))) >> 32);
-    CoefB1 = *pCoefB;
-
-    /* pIn[2 * n - 2 * i] * pBTable[2 * i + 1] */
-    outI =
-      (q31_t) ((((q63_t) outI << 32) + ((q63_t) * pIn2-- * (-CoefB1))) >> 32);
-
-    /* pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1] */
-    outR =
-      (q31_t) ((((q63_t) outR << 32) + ((q63_t) * pIn2 * (CoefB1))) >> 32);
-
-    /* pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */
-    outI =
-      (q31_t) ((((q63_t) outI << 32) + ((q63_t) * pIn2-- * (-CoefA2))) >> 32);
-
-    /* write output */
-    *pOut1++ = (outR << 1u);
-    *pOut1++ = (outI << 1u);
-
-    /* write complex conjugate output */
-    *pOut2-- = -(outI << 1u);
-    *pOut2-- = (outR << 1u);
-
-    /* update coefficient pointer */
-    pCoefB = pCoefB + (modifier * 2u);
-    pCoefA = pCoefA + ((modifier * 2u) - 1u);
-
-    i--;
-
-  }
-
-  pDst[2u * fftLen] = pSrc[0] - pSrc[1];
-  pDst[(2u * fftLen) + 1u] = 0;
-
-  pDst[0] = pSrc[0] + pSrc[1];
-  pDst[1] = 0;
-
-}
-
-
-/**    
- * @brief  Core Real IFFT process    
- * @param[in]   *pSrc 				points to the input buffer.   
- * @param[in]   fftLen  			length of FFT.    
- * @param[in]   *pATable 			points to the twiddle Coef A buffer.   
- * @param[in]   *pBTable 			points to the twiddle Coef B buffer.    
- * @param[out]  *pDst 				points to the output buffer.   
- * @param[in]   modifier 	        twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
- * @return none.    
- */
-
-void arm_split_rifft_q31(
-  q31_t * pSrc,
-  uint32_t fftLen,
-  q31_t * pATable,
-  q31_t * pBTable,
-  q31_t * pDst,
-  uint32_t modifier)
-{
-  q31_t outR, outI;                              /* Temporary variables for output */
-  q31_t *pCoefA, *pCoefB;                        /* Temporary pointers for twiddle factors */
-  q31_t CoefA1, CoefA2, CoefB1;                  /* Temporary variables for twiddle coefficients */
-  q31_t *pIn1 = &pSrc[0], *pIn2 = &pSrc[(2u * fftLen) + 1u];
-
-  pCoefA = &pATable[0];
-  pCoefB = &pBTable[0];
-
-  while(fftLen > 0u)
-  {
-    /*    
-       outR = (pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] +    
-       pIn[2 * n - 2 * i] * pBTable[2 * i] -    
-       pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);    
-
-       outI = (pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] -    
-       pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -    
-       pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);    
-
-     */
-    CoefA1 = *pCoefA++;
-    CoefA2 = *pCoefA;
-
-    /* outR = (pIn[2 * i] * pATable[2 * i] */
-    outR = ((int32_t) (((q63_t) * pIn1 * CoefA1) >> 32));
-
-    /* - pIn[2 * i] * pATable[2 * i + 1] */
-    outI = -((int32_t) (((q63_t) * pIn1++ * CoefA2) >> 32));
-
-    /* pIn[2 * i + 1] * pATable[2 * i + 1] */
-    outR =
-      (q31_t) ((((q63_t) outR << 32) + ((q63_t) * pIn1 * (CoefA2))) >> 32);
-
-    /* pIn[2 * i + 1] * pATable[2 * i] */
-    outI =
-      (q31_t) ((((q63_t) outI << 32) + ((q63_t) * pIn1++ * (CoefA1))) >> 32);
-
-    /* pIn[2 * n - 2 * i] * pBTable[2 * i] */
-    outR =
-      (q31_t) ((((q63_t) outR << 32) + ((q63_t) * pIn2 * (CoefA2))) >> 32);
-
-    CoefB1 = *pCoefB;
-
-    /* pIn[2 * n - 2 * i] * pBTable[2 * i + 1] */
-    outI =
-      (q31_t) ((((q63_t) outI << 32) - ((q63_t) * pIn2-- * (CoefB1))) >> 32);
-
-    /* pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1] */
-    outR =
-      (q31_t) ((((q63_t) outR << 32) + ((q63_t) * pIn2 * (CoefB1))) >> 32);
-
-    /* pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */
-    outI =
-      (q31_t) ((((q63_t) outI << 32) + ((q63_t) * pIn2-- * (CoefA2))) >> 32);
-
-    /* write output */
-    *pDst++ = (outR << 1u);
-    *pDst++ = (outI << 1u);
-
-    /* update coefficient pointer */
-    pCoefB = pCoefB + (modifier * 2u);
-    pCoefA = pCoefA + ((modifier * 2u) - 1u);
-
-    /* Decrement loop count */
-    fftLen--;
-
-  }
-
-
-}
diff --git a/apps/mathlib/CMSIS/Device/ARM/ARMCM3/Include/ARMCM3.h b/apps/mathlib/CMSIS/Device/ARM/ARMCM3/Include/ARMCM3.h
deleted file mode 100644
index 8f39acd9d..000000000
--- a/apps/mathlib/CMSIS/Device/ARM/ARMCM3/Include/ARMCM3.h
+++ /dev/null
@@ -1,264 +0,0 @@
-/**************************************************************************//**
- * @file     ARMCM3.h
- * @brief    CMSIS Core Peripheral Access Layer Header File for
- *           ARMCM3 Device Series
- * @version  V1.07
- * @date     30. January 2012
- *
- * @note
- * Copyright (C) 2012 ARM Limited. All rights reserved.
- *
- * @par
- * ARM Limited (ARM) is supplying this software for use with Cortex-M 
- * processor based microcontrollers.  This file can be freely distributed 
- * within development tools that are supporting such ARM based processors. 
- *
- * @par
- * THIS SOFTWARE IS PROVIDED "AS IS".  NO WARRANTIES, WHETHER EXPRESS, IMPLIED
- * OR STATUTORY, INCLUDING, BUT NOT LIMITED TO, IMPLIED WARRANTIES OF
- * MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE APPLY TO THIS SOFTWARE.
- * ARM SHALL NOT, IN ANY CIRCUMSTANCES, BE LIABLE FOR SPECIAL, INCIDENTAL, OR
- * CONSEQUENTIAL DAMAGES, FOR ANY REASON WHATSOEVER.
- *
- ******************************************************************************/
-
-#ifndef ARMCM3_H
-#define ARMCM3_H
-
-#ifdef __cplusplus
-extern "C" {
-#endif
-
-
-/* -------------------------  Interrupt Number Definition  ------------------------ */
-
-typedef enum IRQn
-{
-/* -------------------  Cortex-M3 Processor Exceptions Numbers  ------------------- */
-  NonMaskableInt_IRQn           = -14,      /*!<  2 Non Maskable Interrupt          */
-  HardFault_IRQn                = -13,      /*!<  3 HardFault Interrupt             */
-  MemoryManagement_IRQn         = -12,      /*!<  4 Memory Management Interrupt     */
-  BusFault_IRQn                 = -11,      /*!<  5 Bus Fault Interrupt             */
-  UsageFault_IRQn               = -10,      /*!<  6 Usage Fault Interrupt           */
-  SVCall_IRQn                   =  -5,      /*!< 11 SV Call Interrupt               */
-  DebugMonitor_IRQn             =  -4,      /*!< 12 Debug Monitor Interrupt         */
-  PendSV_IRQn                   =  -2,      /*!< 14 Pend SV Interrupt               */
-  SysTick_IRQn                  =  -1,      /*!< 15 System Tick Interrupt           */
-
-/* ----------------------  ARMCM3 Specific Interrupt Numbers  --------------------- */
-  WDT_IRQn                      =   0,      /*!< Watchdog Timer Interrupt           */
-  RTC_IRQn                      =   1,      /*!< Real Time Clock Interrupt          */
-  TIM0_IRQn                     =   2,      /*!< Timer0 / Timer1 Interrupt          */
-  TIM2_IRQn                     =   3,      /*!< Timer2 / Timer3 Interrupt          */
-  MCIA_IRQn                     =   4,      /*!< MCIa Interrupt                     */
-  MCIB_IRQn                     =   5,      /*!< MCIb Interrupt                     */
-  UART0_IRQn                    =   6,      /*!< UART0 Interrupt                    */
-  UART1_IRQn                    =   7,      /*!< UART1 Interrupt                    */
-  UART2_IRQn                    =   8,      /*!< UART2 Interrupt                    */
-  UART4_IRQn                    =   9,      /*!< UART4 Interrupt                    */
-  AACI_IRQn                     =  10,      /*!< AACI / AC97 Interrupt              */
-  CLCD_IRQn                     =  11,      /*!< CLCD Combined Interrupt            */
-  ENET_IRQn                     =  12,      /*!< Ethernet Interrupt                 */
-  USBDC_IRQn                    =  13,      /*!< USB Device Interrupt               */
-  USBHC_IRQn                    =  14,      /*!< USB Host Controller Interrupt      */
-  CHLCD_IRQn                    =  15,      /*!< Character LCD Interrupt            */
-  FLEXRAY_IRQn                  =  16,      /*!< Flexray Interrupt                  */
-  CAN_IRQn                      =  17,      /*!< CAN Interrupt                      */
-  LIN_IRQn                      =  18,      /*!< LIN Interrupt                      */
-  I2C_IRQn                      =  19,      /*!< I2C ADC/DAC Interrupt              */
-  CPU_CLCD_IRQn                 =  28,      /*!< CPU CLCD Combined Interrupt        */
-  UART3_IRQn                    =  30,      /*!< UART3 Interrupt                    */
-  SPI_IRQn                      =  31,      /*!< SPI Touchscreen Interrupt          */
-} IRQn_Type;
-
-
-/* ================================================================================ */
-/* ================      Processor and Core Peripheral Section     ================ */
-/* ================================================================================ */
-
-/* --------  Configuration of the Cortex-M4 Processor and Core Peripherals  ------- */
-#define __CM3_REV                 0x0201    /*!< Core revision r2p1                              */
-#define __MPU_PRESENT             1         /*!< MPU present or not                              */
-#define __NVIC_PRIO_BITS          3         /*!< Number of Bits used for Priority Levels         */
-#define __Vendor_SysTickConfig    0         /*!< Set to 1 if different SysTick Config is used    */
-
-#include                        /* Processor and core peripherals                    */
-/* NuttX */
-//#include "system_ARMCM3.h"                  /* System Header                                     */
-
-
-/* ================================================================================ */
-/* ================       Device Specific Peripheral Section       ================ */
-/* ================================================================================ */
-
-/* -------------------  Start of section using anonymous unions  ------------------ */
-#if defined(__CC_ARM)
-  #pragma push
-  #pragma anon_unions
-#elif defined(__ICCARM__)
-  #pragma language=extended
-#elif defined(__GNUC__)
-  /* anonymous unions are enabled by default */
-#elif defined(__TMS470__)
-/* anonymous unions are enabled by default */
-#elif defined(__TASKING__)
-  #pragma warning 586
-#else
-  #warning Not supported compiler type
-#endif
-
-
-
-/* ================================================================================ */
-/* ================            CPU FPGA System (CPU_SYS)           ================ */
-/* ================================================================================ */
-typedef struct
-{
-  __I  uint32_t ID;               /* Offset: 0x000 (R/ )  Board and FPGA Identifier */
-  __IO uint32_t MEMCFG;           /* Offset: 0x004 (R/W)  Remap and Alias Memory Control */
-  __I  uint32_t SW;               /* Offset: 0x008 (R/ )  Switch States */
-  __IO uint32_t LED;              /* Offset: 0x00C (R/W)  LED Output States */
-  __I  uint32_t TS;               /* Offset: 0x010 (R/ )  Touchscreen Register */
-  __IO uint32_t CTRL1;            /* Offset: 0x014 (R/W)  Misc Control Functions */
-       uint32_t RESERVED0[2];
-  __IO uint32_t CLKCFG;           /* Offset: 0x020 (R/W)  System Clock Configuration */
-  __IO uint32_t WSCFG;            /* Offset: 0x024 (R/W)  Flash Waitstate Configuration */
-  __IO uint32_t CPUCFG;           /* Offset: 0x028 (R/W)  Processor Configuration */
-       uint32_t RESERVED1[3];
-  __IO uint32_t BASE;             /* Offset: 0x038 (R/W)  ROM Table base Address */
-  __IO uint32_t ID2;              /* Offset: 0x03C (R/W)  Secondary Identification Register */
-} ARM_CPU_SYS_TypeDef;
-
-
-/* ================================================================================ */
-/* ================            DUT FPGA System (DUT_SYS)           ================ */
-/* ================================================================================ */
-typedef struct
-{
-  __I  uint32_t ID;               /* Offset: 0x000 (R/ )  Board and FPGA Identifier */
-  __IO uint32_t PERCFG;           /* Offset: 0x004 (R/W)  Peripheral Control Signals */
-  __I  uint32_t SW;               /* Offset: 0x008 (R/ )  Switch States */
-  __IO uint32_t LED;              /* Offset: 0x00C (R/W)  LED Output States */
-  __IO uint32_t SEG7;             /* Offset: 0x010 (R/W)  7-segment LED Output States */
-  __I  uint32_t CNT25MHz;         /* Offset: 0x014 (R/ )  Freerunning counter incrementing at 25MHz */
-  __I  uint32_t CNT100Hz;         /* Offset: 0x018 (R/ )  Freerunning counter incrementing at 100Hz */
-} ARM_DUT_SYS_TypeDef;
-
-
-/* ================================================================================ */
-/* ================                   Timer (TIM)                  ================ */
-/* ================================================================================ */
-typedef struct
-{
-  __IO uint32_t Timer1Load;       /* Offset: 0x000 (R/W)  Timer 1 Load */
-  __I  uint32_t Timer1Value;      /* Offset: 0x004 (R/ )  Timer 1 Counter Current Value */
-  __IO uint32_t Timer1Control;    /* Offset: 0x008 (R/W)  Timer 1 Control */
-  __O  uint32_t Timer1IntClr;     /* Offset: 0x00C ( /W)  Timer 1 Interrupt Clear */
-  __I  uint32_t Timer1RIS;        /* Offset: 0x010 (R/ )  Timer 1 Raw Interrupt Status */
-  __I  uint32_t Timer1MIS;        /* Offset: 0x014 (R/ )  Timer 1 Masked Interrupt Status */
-  __IO uint32_t Timer1BGLoad;     /* Offset: 0x018 (R/W)  Background Load Register */
-       uint32_t RESERVED0[1];
-  __IO uint32_t Timer2Load;       /* Offset: 0x020 (R/W)  Timer 2 Load */
-  __I  uint32_t Timer2Value;      /* Offset: 0x024 (R/ )  Timer 2 Counter Current Value */
-  __IO uint32_t Timer2Control;    /* Offset: 0x028 (R/W)  Timer 2 Control */
-  __O  uint32_t Timer2IntClr;     /* Offset: 0x02C ( /W)  Timer 2 Interrupt Clear */
-  __I  uint32_t Timer2RIS;        /* Offset: 0x030 (R/ )  Timer 2 Raw Interrupt Status */
-  __I  uint32_t Timer2MIS;        /* Offset: 0x034 (R/ )  Timer 2 Masked Interrupt Status */
-  __IO uint32_t Timer2BGLoad;     /* Offset: 0x038 (R/W)  Background Load Register */
-} ARM_TIM_TypeDef;
-
-
-/* ================================================================================ */
-/* ============== Universal Asyncronous Receiver / Transmitter (UART) ============= */
-/* ================================================================================ */
-typedef struct
-{
-  __IO uint32_t DR;               /* Offset: 0x000 (R/W)  Data */ 
-  union {
-  __I  uint32_t RSR;              /* Offset: 0x000 (R/ )  Receive Status */
-  __O  uint32_t ECR;              /* Offset: 0x000 ( /W)  Error Clear */
-  };
-       uint32_t RESERVED0[4];
-  __IO uint32_t FR;               /* Offset: 0x018 (R/W)  Flags */
-       uint32_t RESERVED1[1];
-  __IO uint32_t ILPR;             /* Offset: 0x020 (R/W)  IrDA Low-power Counter */
-  __IO uint32_t IBRD;             /* Offset: 0x024 (R/W)  Interger Baud Rate */
-  __IO uint32_t FBRD;             /* Offset: 0x028 (R/W)  Fractional Baud Rate */
-  __IO uint32_t LCR_H;            /* Offset: 0x02C (R/W)  Line Control */
-  __IO uint32_t CR;               /* Offset: 0x030 (R/W)  Control */
-  __IO uint32_t IFLS;             /* Offset: 0x034 (R/W)  Interrupt FIFO Level Select */
-  __IO uint32_t IMSC;             /* Offset: 0x038 (R/W)  Interrupt Mask Set / Clear */
-  __IO uint32_t RIS;              /* Offset: 0x03C (R/W)  Raw Interrupt Status */
-  __IO uint32_t MIS;              /* Offset: 0x040 (R/W)  Masked Interrupt Status */
-  __O  uint32_t ICR;              /* Offset: 0x044 ( /W)  Interrupt Clear */
-  __IO uint32_t DMACR;            /* Offset: 0x048 (R/W)  DMA Control */
-} ARM_UART_TypeDef;
-
-
-/* --------------------  End of section using anonymous unions  ------------------- */
-#if defined(__CC_ARM)
-  #pragma pop
-#elif defined(__ICCARM__)
-  /* leave anonymous unions enabled */
-#elif defined(__GNUC__)
-  /* anonymous unions are enabled by default */
-#elif defined(__TMS470__)
-  /* anonymous unions are enabled by default */
-#elif defined(__TASKING__)
-  #pragma warning restore
-#else
-  #warning Not supported compiler type
-#endif
-
-
-
-
-/* ================================================================================ */
-/* ================              Peripheral memory map             ================ */
-/* ================================================================================ */
-/* --------------------------  CPU FPGA memory map  ------------------------------- */
-#define ARM_FLASH_BASE            (0x00000000UL)
-#define ARM_RAM_BASE              (0x20000000UL)
-#define ARM_RAM_FPGA_BASE         (0x1EFF0000UL)
-#define ARM_CPU_CFG_BASE          (0xDFFF0000UL)
-
-#define ARM_CPU_SYS_BASE          (ARM_CPU_CFG_BASE  + 0x00000)
-#define ARM_UART3_BASE            (ARM_CPU_CFG_BASE  + 0x05000)
-
-/* --------------------------  DUT FPGA memory map  ------------------------------- */
-#define ARM_APB_BASE              (0x40000000UL)
-#define ARM_AHB_BASE              (0x4FF00000UL)
-#define ARM_DMC_BASE              (0x60000000UL)
-#define ARM_SMC_BASE              (0xA0000000UL)
-
-#define ARM_TIM0_BASE             (ARM_APB_BASE      + 0x02000)
-#define ARM_TIM2_BASE             (ARM_APB_BASE      + 0x03000)
-#define ARM_DUT_SYS_BASE          (ARM_APB_BASE      + 0x04000)
-#define ARM_UART0_BASE            (ARM_APB_BASE      + 0x06000)
-#define ARM_UART1_BASE            (ARM_APB_BASE      + 0x07000)
-#define ARM_UART2_BASE            (ARM_APB_BASE      + 0x08000)
-#define ARM_UART4_BASE            (ARM_APB_BASE      + 0x09000)
-
-
-/* ================================================================================ */
-/* ================             Peripheral declaration             ================ */
-/* ================================================================================ */
-/* --------------------------  CPU FPGA Peripherals  ------------------------------ */
-#define ARM_CPU_SYS               ((ARM_CPU_SYS_TypeDef *)  ARM_CPU_SYS_BASE)
-#define ARM_UART3                 ((   ARM_UART_TypeDef *)    ARM_UART3_BASE)
-
-/* --------------------------  DUT FPGA Peripherals  ------------------------------ */
-#define ARM_DUT_SYS               ((ARM_DUT_SYS_TypeDef *)  ARM_DUT_SYS_BASE)
-#define ARM_TIM0                  ((    ARM_TIM_TypeDef *)     ARM_TIM0_BASE)
-#define ARM_TIM2                  ((    ARM_TIM_TypeDef *)     ARM_TIM2_BASE)
-#define ARM_UART0                 ((   ARM_UART_TypeDef *)    ARM_UART0_BASE)
-#define ARM_UART1                 ((   ARM_UART_TypeDef *)    ARM_UART1_BASE)
-#define ARM_UART2                 ((   ARM_UART_TypeDef *)    ARM_UART2_BASE)
-#define ARM_UART4                 ((   ARM_UART_TypeDef *)    ARM_UART4_BASE)
-
-
-#ifdef __cplusplus
-}
-#endif
-
-#endif  /* ARMCM3_H */
diff --git a/apps/mathlib/CMSIS/Device/ARM/ARMCM4/Include/ARMCM4.h b/apps/mathlib/CMSIS/Device/ARM/ARMCM4/Include/ARMCM4.h
deleted file mode 100644
index 181b7e433..000000000
--- a/apps/mathlib/CMSIS/Device/ARM/ARMCM4/Include/ARMCM4.h
+++ /dev/null
@@ -1,265 +0,0 @@
-/**************************************************************************//**
- * @file     ARMCM4.h
- * @brief    CMSIS Core Peripheral Access Layer Header File for
- *           ARMCM4 Device Series
- * @version  V1.07
- * @date     30. January 2012
- *
- * @note
- * Copyright (C) 2012 ARM Limited. All rights reserved.
- *
- * @par
- * ARM Limited (ARM) is supplying this software for use with Cortex-M 
- * processor based microcontrollers.  This file can be freely distributed 
- * within development tools that are supporting such ARM based processors. 
- *
- * @par
- * THIS SOFTWARE IS PROVIDED "AS IS".  NO WARRANTIES, WHETHER EXPRESS, IMPLIED
- * OR STATUTORY, INCLUDING, BUT NOT LIMITED TO, IMPLIED WARRANTIES OF
- * MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE APPLY TO THIS SOFTWARE.
- * ARM SHALL NOT, IN ANY CIRCUMSTANCES, BE LIABLE FOR SPECIAL, INCIDENTAL, OR
- * CONSEQUENTIAL DAMAGES, FOR ANY REASON WHATSOEVER.
- *
- ******************************************************************************/
-
-#ifndef ARMCM4_H
-#define ARMCM4_H
-
-#ifdef __cplusplus
-extern "C" {
-#endif
-
-
-/* -------------------------  Interrupt Number Definition  ------------------------ */
-
-typedef enum IRQn
-{
-/* -------------------  Cortex-M4 Processor Exceptions Numbers  ------------------- */
-  NonMaskableInt_IRQn           = -14,      /*!<  2 Non Maskable Interrupt          */
-  HardFault_IRQn                = -13,      /*!<  3 HardFault Interrupt             */
-  MemoryManagement_IRQn         = -12,      /*!<  4 Memory Management Interrupt     */
-  BusFault_IRQn                 = -11,      /*!<  5 Bus Fault Interrupt             */
-  UsageFault_IRQn               = -10,      /*!<  6 Usage Fault Interrupt           */
-  SVCall_IRQn                   =  -5,      /*!< 11 SV Call Interrupt               */
-  DebugMonitor_IRQn             =  -4,      /*!< 12 Debug Monitor Interrupt         */
-  PendSV_IRQn                   =  -2,      /*!< 14 Pend SV Interrupt               */
-  SysTick_IRQn                  =  -1,      /*!< 15 System Tick Interrupt           */
-
-/* ----------------------  ARMCM4 Specific Interrupt Numbers  --------------------- */
-  WDT_IRQn                      =   0,      /*!< Watchdog Timer Interrupt           */
-  RTC_IRQn                      =   1,      /*!< Real Time Clock Interrupt          */
-  TIM0_IRQn                     =   2,      /*!< Timer0 / Timer1 Interrupt          */
-  TIM2_IRQn                     =   3,      /*!< Timer2 / Timer3 Interrupt          */
-  MCIA_IRQn                     =   4,      /*!< MCIa Interrupt                     */
-  MCIB_IRQn                     =   5,      /*!< MCIb Interrupt                     */
-  UART0_IRQn                    =   6,      /*!< UART0 Interrupt                    */
-  UART1_IRQn                    =   7,      /*!< UART1 Interrupt                    */
-  UART2_IRQn                    =   8,      /*!< UART2 Interrupt                    */
-  UART4_IRQn                    =   9,      /*!< UART4 Interrupt                    */
-  AACI_IRQn                     =  10,      /*!< AACI / AC97 Interrupt              */
-  CLCD_IRQn                     =  11,      /*!< CLCD Combined Interrupt            */
-  ENET_IRQn                     =  12,      /*!< Ethernet Interrupt                 */
-  USBDC_IRQn                    =  13,      /*!< USB Device Interrupt               */
-  USBHC_IRQn                    =  14,      /*!< USB Host Controller Interrupt      */
-  CHLCD_IRQn                    =  15,      /*!< Character LCD Interrupt            */
-  FLEXRAY_IRQn                  =  16,      /*!< Flexray Interrupt                  */
-  CAN_IRQn                      =  17,      /*!< CAN Interrupt                      */
-  LIN_IRQn                      =  18,      /*!< LIN Interrupt                      */
-  I2C_IRQn                      =  19,      /*!< I2C ADC/DAC Interrupt              */
-  CPU_CLCD_IRQn                 =  28,      /*!< CPU CLCD Combined Interrupt        */
-  UART3_IRQn                    =  30,      /*!< UART3 Interrupt                    */
-  SPI_IRQn                      =  31,      /*!< SPI Touchscreen Interrupt          */
-} IRQn_Type;
-
-
-/* ================================================================================ */
-/* ================      Processor and Core Peripheral Section     ================ */
-/* ================================================================================ */
-
-/* --------  Configuration of the Cortex-M4 Processor and Core Peripherals  ------- */
-#define __CM4_REV                 0x0001    /*!< Core revision r0p1                              */
-#define __MPU_PRESENT             1         /*!< MPU present or not                              */
-#define __NVIC_PRIO_BITS          3         /*!< Number of Bits used for Priority Levels         */
-#define __Vendor_SysTickConfig    0         /*!< Set to 1 if different SysTick Config is used    */
-#define __FPU_PRESENT             1         /*!< FPU present or not                              */
-
-#include                        /* Processor and core peripherals                    */
-/* NuttX */
-//#include "system_ARMCM4.h"                  /* System Header                                     */
-
-
-/* ================================================================================ */
-/* ================       Device Specific Peripheral Section       ================ */
-/* ================================================================================ */
-
-/* -------------------  Start of section using anonymous unions  ------------------ */
-#if defined(__CC_ARM)
-  #pragma push
-  #pragma anon_unions
-#elif defined(__ICCARM__)
-  #pragma language=extended
-#elif defined(__GNUC__)
-  /* anonymous unions are enabled by default */
-#elif defined(__TMS470__)
-/* anonymous unions are enabled by default */
-#elif defined(__TASKING__)
-  #pragma warning 586
-#else
-  #warning Not supported compiler type
-#endif
-
-
-
-/* ================================================================================ */
-/* ================            CPU FPGA System (CPU_SYS)           ================ */
-/* ================================================================================ */
-typedef struct
-{
-  __I  uint32_t ID;               /* Offset: 0x000 (R/ )  Board and FPGA Identifier */
-  __IO uint32_t MEMCFG;           /* Offset: 0x004 (R/W)  Remap and Alias Memory Control */
-  __I  uint32_t SW;               /* Offset: 0x008 (R/ )  Switch States */
-  __IO uint32_t LED;              /* Offset: 0x00C (R/W)  LED Output States */
-  __I  uint32_t TS;               /* Offset: 0x010 (R/ )  Touchscreen Register */
-  __IO uint32_t CTRL1;            /* Offset: 0x014 (R/W)  Misc Control Functions */
-       uint32_t RESERVED0[2];
-  __IO uint32_t CLKCFG;           /* Offset: 0x020 (R/W)  System Clock Configuration */
-  __IO uint32_t WSCFG;            /* Offset: 0x024 (R/W)  Flash Waitstate Configuration */
-  __IO uint32_t CPUCFG;           /* Offset: 0x028 (R/W)  Processor Configuration */
-       uint32_t RESERVED1[3];
-  __IO uint32_t BASE;             /* Offset: 0x038 (R/W)  ROM Table base Address */
-  __IO uint32_t ID2;              /* Offset: 0x03C (R/W)  Secondary Identification Register */
-} ARM_CPU_SYS_TypeDef;
-
-
-/* ================================================================================ */
-/* ================            DUT FPGA System (DUT_SYS)           ================ */
-/* ================================================================================ */
-typedef struct
-{
-  __I  uint32_t ID;               /* Offset: 0x000 (R/ )  Board and FPGA Identifier */
-  __IO uint32_t PERCFG;           /* Offset: 0x004 (R/W)  Peripheral Control Signals */
-  __I  uint32_t SW;               /* Offset: 0x008 (R/ )  Switch States */
-  __IO uint32_t LED;              /* Offset: 0x00C (R/W)  LED Output States */
-  __IO uint32_t SEG7;             /* Offset: 0x010 (R/W)  7-segment LED Output States */
-  __I  uint32_t CNT25MHz;         /* Offset: 0x014 (R/ )  Freerunning counter incrementing at 25MHz */
-  __I  uint32_t CNT100Hz;         /* Offset: 0x018 (R/ )  Freerunning counter incrementing at 100Hz */
-} ARM_DUT_SYS_TypeDef;
-
-
-/* ================================================================================ */
-/* ================                   Timer (TIM)                  ================ */
-/* ================================================================================ */
-typedef struct
-{
-  __IO uint32_t Timer1Load;       /* Offset: 0x000 (R/W)  Timer 1 Load */
-  __I  uint32_t Timer1Value;      /* Offset: 0x004 (R/ )  Timer 1 Counter Current Value */
-  __IO uint32_t Timer1Control;    /* Offset: 0x008 (R/W)  Timer 1 Control */
-  __O  uint32_t Timer1IntClr;     /* Offset: 0x00C ( /W)  Timer 1 Interrupt Clear */
-  __I  uint32_t Timer1RIS;        /* Offset: 0x010 (R/ )  Timer 1 Raw Interrupt Status */
-  __I  uint32_t Timer1MIS;        /* Offset: 0x014 (R/ )  Timer 1 Masked Interrupt Status */
-  __IO uint32_t Timer1BGLoad;     /* Offset: 0x018 (R/W)  Background Load Register */
-       uint32_t RESERVED0[1];
-  __IO uint32_t Timer2Load;       /* Offset: 0x020 (R/W)  Timer 2 Load */
-  __I  uint32_t Timer2Value;      /* Offset: 0x024 (R/ )  Timer 2 Counter Current Value */
-  __IO uint32_t Timer2Control;    /* Offset: 0x028 (R/W)  Timer 2 Control */
-  __O  uint32_t Timer2IntClr;     /* Offset: 0x02C ( /W)  Timer 2 Interrupt Clear */
-  __I  uint32_t Timer2RIS;        /* Offset: 0x030 (R/ )  Timer 2 Raw Interrupt Status */
-  __I  uint32_t Timer2MIS;        /* Offset: 0x034 (R/ )  Timer 2 Masked Interrupt Status */
-  __IO uint32_t Timer2BGLoad;     /* Offset: 0x038 (R/W)  Background Load Register */
-} ARM_TIM_TypeDef;
-
-
-/* ================================================================================ */
-/* ============== Universal Asyncronous Receiver / Transmitter (UART) ============= */
-/* ================================================================================ */
-typedef struct
-{
-  __IO uint32_t DR;               /* Offset: 0x000 (R/W)  Data */ 
-  union {
-  __I  uint32_t RSR;              /* Offset: 0x000 (R/ )  Receive Status */
-  __O  uint32_t ECR;              /* Offset: 0x000 ( /W)  Error Clear */
-  };
-       uint32_t RESERVED0[4];
-  __IO uint32_t FR;               /* Offset: 0x018 (R/W)  Flags */
-       uint32_t RESERVED1[1];
-  __IO uint32_t ILPR;             /* Offset: 0x020 (R/W)  IrDA Low-power Counter */
-  __IO uint32_t IBRD;             /* Offset: 0x024 (R/W)  Interger Baud Rate */
-  __IO uint32_t FBRD;             /* Offset: 0x028 (R/W)  Fractional Baud Rate */
-  __IO uint32_t LCR_H;            /* Offset: 0x02C (R/W)  Line Control */
-  __IO uint32_t CR;               /* Offset: 0x030 (R/W)  Control */
-  __IO uint32_t IFLS;             /* Offset: 0x034 (R/W)  Interrupt FIFO Level Select */
-  __IO uint32_t IMSC;             /* Offset: 0x038 (R/W)  Interrupt Mask Set / Clear */
-  __IO uint32_t RIS;              /* Offset: 0x03C (R/W)  Raw Interrupt Status */
-  __IO uint32_t MIS;              /* Offset: 0x040 (R/W)  Masked Interrupt Status */
-  __O  uint32_t ICR;              /* Offset: 0x044 ( /W)  Interrupt Clear */
-  __IO uint32_t DMACR;            /* Offset: 0x048 (R/W)  DMA Control */
-} ARM_UART_TypeDef;
-
-
-/* --------------------  End of section using anonymous unions  ------------------- */
-#if defined(__CC_ARM)
-  #pragma pop
-#elif defined(__ICCARM__)
-  /* leave anonymous unions enabled */
-#elif defined(__GNUC__)
-  /* anonymous unions are enabled by default */
-#elif defined(__TMS470__)
-  /* anonymous unions are enabled by default */
-#elif defined(__TASKING__)
-  #pragma warning restore
-#else
-  #warning Not supported compiler type
-#endif
-
-
-
-
-/* ================================================================================ */
-/* ================              Peripheral memory map             ================ */
-/* ================================================================================ */
-/* --------------------------  CPU FPGA memory map  ------------------------------- */
-#define ARM_FLASH_BASE            (0x00000000UL)
-#define ARM_RAM_BASE              (0x20000000UL)
-#define ARM_RAM_FPGA_BASE         (0x1EFF0000UL)
-#define ARM_CPU_CFG_BASE          (0xDFFF0000UL)
-
-#define ARM_CPU_SYS_BASE          (ARM_CPU_CFG_BASE  + 0x00000)
-#define ARM_UART3_BASE            (ARM_CPU_CFG_BASE  + 0x05000)
-
-/* --------------------------  DUT FPGA memory map  ------------------------------- */
-#define ARM_APB_BASE              (0x40000000UL)
-#define ARM_AHB_BASE              (0x4FF00000UL)
-#define ARM_DMC_BASE              (0x60000000UL)
-#define ARM_SMC_BASE              (0xA0000000UL)
-
-#define ARM_TIM0_BASE             (ARM_APB_BASE      + 0x02000)
-#define ARM_TIM2_BASE             (ARM_APB_BASE      + 0x03000)
-#define ARM_DUT_SYS_BASE          (ARM_APB_BASE      + 0x04000)
-#define ARM_UART0_BASE            (ARM_APB_BASE      + 0x06000)
-#define ARM_UART1_BASE            (ARM_APB_BASE      + 0x07000)
-#define ARM_UART2_BASE            (ARM_APB_BASE      + 0x08000)
-#define ARM_UART4_BASE            (ARM_APB_BASE      + 0x09000)
-
-
-/* ================================================================================ */
-/* ================             Peripheral declaration             ================ */
-/* ================================================================================ */
-/* --------------------------  CPU FPGA Peripherals  ------------------------------ */
-#define ARM_CPU_SYS               ((ARM_CPU_SYS_TypeDef *)  ARM_CPU_SYS_BASE)
-#define ARM_UART3                 ((   ARM_UART_TypeDef *)    ARM_UART3_BASE)
-
-/* --------------------------  DUT FPGA Peripherals  ------------------------------ */
-#define ARM_DUT_SYS               ((ARM_DUT_SYS_TypeDef *)  ARM_DUT_SYS_BASE)
-#define ARM_TIM0                  ((    ARM_TIM_TypeDef *)     ARM_TIM0_BASE)
-#define ARM_TIM2                  ((    ARM_TIM_TypeDef *)     ARM_TIM2_BASE)
-#define ARM_UART0                 ((   ARM_UART_TypeDef *)    ARM_UART0_BASE)
-#define ARM_UART1                 ((   ARM_UART_TypeDef *)    ARM_UART1_BASE)
-#define ARM_UART2                 ((   ARM_UART_TypeDef *)    ARM_UART2_BASE)
-#define ARM_UART4                 ((   ARM_UART_TypeDef *)    ARM_UART4_BASE)
-
-
-#ifdef __cplusplus
-}
-#endif
-
-#endif  /* ARMCM4_H */
diff --git a/apps/mathlib/CMSIS/Include/arm_common_tables.h b/apps/mathlib/CMSIS/Include/arm_common_tables.h
deleted file mode 100644
index 5fd6ff4af..000000000
--- a/apps/mathlib/CMSIS/Include/arm_common_tables.h
+++ /dev/null
@@ -1,38 +0,0 @@
-/* ---------------------------------------------------------------------- 
-* Copyright (C) 2010 ARM Limited. All rights reserved. 
-* 
-* $Date:        11. November 2010  
-* $Revision: 	V1.0.2  
-* 
-* Project: 	    CMSIS DSP Library 
-* Title:	    arm_common_tables.h 
-* 
-* Description:	This file has extern declaration for common tables like Bitreverse, reciprocal etc which are used across different functions 
-* 
-* Target Processor: Cortex-M4/Cortex-M3
-*  
-* Version 1.0.2 2010/11/11 
-*    Documentation updated.  
-* 
-* Version 1.0.1 2010/10/05  
-*    Production release and review comments incorporated. 
-* 
-* Version 1.0.0 2010/09/20  
-*    Production release and review comments incorporated. 
-* -------------------------------------------------------------------- */
-
-#ifndef _ARM_COMMON_TABLES_H
-#define _ARM_COMMON_TABLES_H
-
-#include "arm_math.h"
-
-extern const uint16_t armBitRevTable[1024];
-extern const q15_t armRecipTableQ15[64];
-extern const q31_t armRecipTableQ31[64];
-extern const q31_t realCoefAQ31[1024];
-extern const q31_t realCoefBQ31[1024];
-extern const float32_t twiddleCoef[6144];
-extern const q31_t twiddleCoefQ31[6144];
-extern const q15_t twiddleCoefQ15[6144];
-
-#endif /*  ARM_COMMON_TABLES_H */
diff --git a/apps/mathlib/CMSIS/Include/arm_math.h b/apps/mathlib/CMSIS/Include/arm_math.h
deleted file mode 100644
index f224d3eb0..000000000
--- a/apps/mathlib/CMSIS/Include/arm_math.h
+++ /dev/null
@@ -1,7569 +0,0 @@
-/* ----------------------------------------------------------------------   
- * Copyright (C) 2010-2011 ARM Limited. All rights reserved.   
- *   
- * $Date:        15. February 2012  
- * $Revision: 	V1.1.0  
- *   
- * Project: 	    CMSIS DSP Library   
- * Title:	     	arm_math.h
- *   
- * Description:	 Public header file for CMSIS DSP Library
- *   
- * Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
- *  
- * Version 1.1.0 2012/02/15 
- *    Updated with more optimizations, bug fixes and minor API changes.  
- *  
- * Version 1.0.10 2011/7/15 
- *    Big Endian support added and Merged M0 and M3/M4 Source code.  
- *   
- * Version 1.0.3 2010/11/29  
- *    Re-organized the CMSIS folders and updated documentation.   
- *    
- * Version 1.0.2 2010/11/11   
- *    Documentation updated.    
- *   
- * Version 1.0.1 2010/10/05    
- *    Production release and review comments incorporated.   
- *   
- * Version 1.0.0 2010/09/20    
- *    Production release and review comments incorporated.   
- * -------------------------------------------------------------------- */
-
-/**
-   \mainpage CMSIS DSP Software Library
-   *
-   * Introduction
-   *
-   * This user manual describes the CMSIS DSP software library, 
-   * a suite of common signal processing functions for use on Cortex-M processor based devices.
-   *
-   * The library is divided into a number of functions each covering a specific category:  
-   * - Basic math functions
-   * - Fast math functions
-   * - Complex math functions
-   * - Filters
-   * - Matrix functions
-   * - Transforms
-   * - Motor control functions
-   * - Statistical functions
-   * - Support functions
-   * - Interpolation functions
-   *
-   * The library has separate functions for operating on 8-bit integers, 16-bit integers,
-   * 32-bit integer and 32-bit floating-point values. 
-   *
-   * Pre-processor Macros 
-   * 
-   * Each library project have differant pre-processor macros. 
-   * 
-   * - UNALIGNED_SUPPORT_DISABLE: 
-   * 
-   * Define macro UNALIGNED_SUPPORT_DISABLE, If the silicon does not support unaligned memory access    
-   * 
-   * - ARM_MATH_BIG_ENDIAN: 
-   * 
-   * Define macro ARM_MATH_BIG_ENDIAN to build the library for big endian targets. By default library builds for little endian targets. 
-   * 
-   * - ARM_MATH_MATRIX_CHECK: 
-   * 
-   * Define macro ARM_MATH_MATRIX_CHECK for checking on the input and output sizes of matrices 
-   * 
-   * - ARM_MATH_ROUNDING: 
-   * 
-   * Define macro ARM_MATH_ROUNDING for rounding on support functions
-   *
-   * - ARM_MATH_CMx:
-   *
-   * Define macro ARM_MATH_CM4 for building the library on Cortex-M4 target, ARM_MATH_CM3 for building library on Cortex-M3 target
-   * and ARM_MATH_CM0 for building library on cortex-M0 target.
-   * 
-   * - __FPU_PRESENT:
-   *
-   * Initialize macro __FPU_PRESENT = 1 when building on FPU supported Targets. Enable this macro for M4bf and M4lf libraries 
-   *
-   * Toolchain Support
-   *
-   * The library has been developed and tested with MDK-ARM version 4.23. 
-   * The library is being tested in GCC and IAR toolchains and updates on this activity will be made available shortly.
-   *
-   * Using the Library
-   *
-   * The library installer contains prebuilt versions of the libraries in the Lib folder.
-   * - arm_cortexM4lf_math.lib (Little endian and Floating Point Unit on Cortex-M4)
-   * - arm_cortexM4bf_math.lib (Big endian and Floating Point Unit on Cortex-M4)
-   * - arm_cortexM4l_math.lib (Little endian on Cortex-M4)
-   * - arm_cortexM4b_math.lib (Big endian on Cortex-M4)
-   * - arm_cortexM3l_math.lib (Little endian on Cortex-M3)
-   * - arm_cortexM3b_math.lib (Big endian on Cortex-M3)
-   * - arm_cortexM0l_math.lib (Little endian on Cortex-M0)
-   * - arm_cortexM0b_math.lib (Big endian on Cortex-M3)
-   *
-   * The library functions are declared in the public file arm_math.h which is placed in the Include folder.
-   * Simply include this file and link the appropriate library in the application and begin calling the library functions. The Library supports single 
-   * public header file  arm_math.h for Cortex-M4/M3/M0 with little endian and big endian. Same header file will be used for floating point unit(FPU) variants. 
-   * Define the appropriate pre processor MACRO ARM_MATH_CM4 or  ARM_MATH_CM3 or 
-   * ARM_MATH_CM0 depending on the target processor in the application.
-   *
-   * Examples
-   *
-   * The library ships with a number of examples which demonstrate how to use the library functions.
-   *
-   * Building the Library
-   *
-   * The library installer contains project files to re build libraries on MDK Tool chain in the CMSIS\\DSP_Lib\\Source\\ARM folder.
-   * - arm_cortexM0b_math.uvproj
-   * - arm_cortexM0l_math.uvproj
-   * - arm_cortexM3b_math.uvproj
-   * - arm_cortexM3l_math.uvproj  
-   * - arm_cortexM4b_math.uvproj
-   * - arm_cortexM4l_math.uvproj
-   * - arm_cortexM4bf_math.uvproj
-   * - arm_cortexM4lf_math.uvproj
-   *
-   *
-   * The project can be built by opening the appropriate project in MDK-ARM 4.23 chain and defining the optional pre processor MACROs detailed above.
-   *
-   * Copyright Notice
-   *
-   * Copyright (C) 2010 ARM Limited. All rights reserved.
-   */
-
-
-/**
- * @defgroup groupMath Basic Math Functions
- */
-
-/**
- * @defgroup groupFastMath Fast Math Functions
- * This set of functions provides a fast approximation to sine, cosine, and square root.
- * As compared to most of the other functions in the CMSIS math library, the fast math functions
- * operate on individual values and not arrays.
- * There are separate functions for Q15, Q31, and floating-point data.
- *
- */
-
-/**
- * @defgroup groupCmplxMath Complex Math Functions
- * This set of functions operates on complex data vectors.
- * The data in the complex arrays is stored in an interleaved fashion
- * (real, imag, real, imag, ...).
- * In the API functions, the number of samples in a complex array refers
- * to the number of complex values; the array contains twice this number of
- * real values.
- */
-
-/**
- * @defgroup groupFilters Filtering Functions
- */
-
-/**
- * @defgroup groupMatrix Matrix Functions
- *
- * This set of functions provides basic matrix math operations.
- * The functions operate on matrix data structures.  For example,
- * the type
- * definition for the floating-point matrix structure is shown
- * below:
- * 
- *     typedef struct
- *     {
- *       uint16_t numRows;     // number of rows of the matrix.
- *       uint16_t numCols;     // number of columns of the matrix.
- *       float32_t *pData;     // points to the data of the matrix.
- *     } arm_matrix_instance_f32;
- * 

- * There are similar definitions for Q15 and Q31 data types.
- *
- * The structure specifies the size of the matrix and then points to
- * an array of data.  The array is of size numRows X numCols
- * and the values are arranged in row order.  That is, the
- * matrix element (i, j) is stored at:
- * 
- *     pData[i*numCols + j]
- * 

- *
- * \par Init Functions
- * There is an associated initialization function for each type of matrix
- * data structure.
- * The initialization function sets the values of the internal structure fields.
- * Refer to the function arm_mat_init_f32(), arm_mat_init_q31()
- * and arm_mat_init_q15() for floating-point, Q31 and Q15 types,  respectively.
- *
- * \par
- * Use of the initialization function is optional. However, if initialization function is used
- * then the instance structure cannot be placed into a const data section.
- * To place the instance structure in a const data
- * section, manually initialize the data structure.  For example:
- * 
- * arm_matrix_instance_f32 S = {nRows, nColumns, pData};
- * arm_matrix_instance_q31 S = {nRows, nColumns, pData};
- * arm_matrix_instance_q15 S = {nRows, nColumns, pData};
- * 

- * where nRows specifies the number of rows, nColumns
- * specifies the number of columns, and pData points to the
- * data array.
- *
- * \par Size Checking
- * By default all of the matrix functions perform size checking on the input and
- * output matrices.  For example, the matrix addition function verifies that the
- * two input matrices and the output matrix all have the same number of rows and
- * columns.  If the size check fails the functions return:
- * 
- *     ARM_MATH_SIZE_MISMATCH
- * 

- * Otherwise the functions return
- * 
- *     ARM_MATH_SUCCESS
- * 

- * There is some overhead associated with this matrix size checking.
- * The matrix size checking is enabled via the \#define
- * 
- *     ARM_MATH_MATRIX_CHECK
- * 

- * within the library project settings.  By default this macro is defined
- * and size checking is enabled.  By changing the project settings and
- * undefining this macro size checking is eliminated and the functions
- * run a bit faster.  With size checking disabled the functions always
- * return ARM_MATH_SUCCESS.
- */
-
-/**
- * @defgroup groupTransforms Transform Functions
- */
-
-/**
- * @defgroup groupController Controller Functions
- */
-
-/**
- * @defgroup groupStats Statistics Functions
- */
-/**
- * @defgroup groupSupport Support Functions
- */
-
-/**
- * @defgroup groupInterpolation Interpolation Functions
- * These functions perform 1- and 2-dimensional interpolation of data.
- * Linear interpolation is used for 1-dimensional data and
- * bilinear interpolation is used for 2-dimensional data.
- */
-
-/**
- * @defgroup groupExamples Examples
- */
-#ifndef _ARM_MATH_H
-#define _ARM_MATH_H
-
-#define __CMSIS_GENERIC         /* disable NVIC and Systick functions */
-
-/* NuttX */
-#include 
-#ifdef CONFIG_ARCH_CORTEXM4
-# define ARM_MATH_CM4 1
-#endif
-#ifdef CONFIG_ARCH_CORTEXM3
-# define ARM_MATH_CM3 1
-#endif
-#ifdef CONFIG_ARCH_FPU
-# define __FPU_PRESENT 1
-#endif
-
-#if defined (ARM_MATH_CM4)
-#include "core_cm4.h"
-#elif defined (ARM_MATH_CM3)
-#include "core_cm3.h"
-#elif defined (ARM_MATH_CM0)
-#include "core_cm0.h"
-#else
-#include "ARMCM4.h"
-#warning "Define either ARM_MATH_CM4 OR ARM_MATH_CM3...By Default building on ARM_MATH_CM4....."
-#endif
-
-#undef  __CMSIS_GENERIC         /* enable NVIC and Systick functions */
-#include "string.h"
-#include "math.h"
-#ifdef	__cplusplus
-extern "C"
-{
-#endif
-
-
-  /**
-   * @brief Macros required for reciprocal calculation in Normalized LMS
-   */
-
-#define DELTA_Q31 			(0x100)
-#define DELTA_Q15 			0x5
-#define INDEX_MASK 			0x0000003F
-#ifndef PI
-#define PI					3.14159265358979f
-#endif
-
-  /**
-   * @brief Macros required for SINE and COSINE Fast math approximations
-   */
-
-#define TABLE_SIZE			256
-#define TABLE_SPACING_Q31	0x800000
-#define TABLE_SPACING_Q15	0x80
-
-  /**
-   * @brief Macros required for SINE and COSINE Controller functions
-   */
-  /* 1.31(q31) Fixed value of 2/360 */
-  /* -1 to +1 is divided into 360 values so total spacing is (2/360) */
-#define INPUT_SPACING			0xB60B61
-
-  /**
-   * @brief Macro for Unaligned Support
-   */
-#ifndef UNALIGNED_SUPPORT_DISABLE
-    #define ALIGN4
-#else
-  #if defined  (__GNUC__)
-    #define ALIGN4 __attribute__((aligned(4)))
-  #else
-    #define ALIGN4 __align(4)
-  #endif
-#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
-
-  /**
-   * @brief Error status returned by some functions in the library.
-   */
-
-  typedef enum
-  {
-    ARM_MATH_SUCCESS = 0,                /**< No error */
-    ARM_MATH_ARGUMENT_ERROR = -1,        /**< One or more arguments are incorrect */
-    ARM_MATH_LENGTH_ERROR = -2,          /**< Length of data buffer is incorrect */
-    ARM_MATH_SIZE_MISMATCH = -3,         /**< Size of matrices is not compatible with the operation. */
-    ARM_MATH_NANINF = -4,                /**< Not-a-number (NaN) or infinity is generated */
-    ARM_MATH_SINGULAR = -5,              /**< Generated by matrix inversion if the input matrix is singular and cannot be inverted. */
-    ARM_MATH_TEST_FAILURE = -6           /**< Test Failed  */
-  } arm_status;
-
-  /**
-   * @brief 8-bit fractional data type in 1.7 format.
-   */
-  typedef int8_t q7_t;
-
-  /**
-   * @brief 16-bit fractional data type in 1.15 format.
-   */
-  typedef int16_t q15_t;
-
-  /**
-   * @brief 32-bit fractional data type in 1.31 format.
-   */
-  typedef int32_t q31_t;
-
-  /**
-   * @brief 64-bit fractional data type in 1.63 format.
-   */
-  typedef int64_t q63_t;
-
-  /**
-   * @brief 32-bit floating-point type definition.
-   */
-  typedef float float32_t;
-
-  /**
-   * @brief 64-bit floating-point type definition.
-   */
-  typedef double float64_t;
-
-  /**
-   * @brief definition to read/write two 16 bit values.
-   */
-#if defined  (__GNUC__)
-  #define __SIMD32(addr)         (*( int32_t **) & (addr))
-  #define  _SIMD32_OFFSET(addr)  (*( int32_t * )   (addr))
-#else
-  #define __SIMD32(addr)         (*(__packed                    int32_t **) & (addr))
-  #define  _SIMD32_OFFSET(addr)  (*(__packed                    int32_t * )   (addr))
-#endif 
-
-  #define __SIMD64(addr)  (*(int64_t **) & (addr))
-
-#if defined (ARM_MATH_CM3) || defined (ARM_MATH_CM0)
-  /**
-   * @brief definition to pack two 16 bit values.
-   */
-#define __PKHBT(ARG1, ARG2, ARG3)      ( (((int32_t)(ARG1) <<  0) & (int32_t)0x0000FFFF) | \
-                                         (((int32_t)(ARG2) << ARG3) & (int32_t)0xFFFF0000)  )
-#define __PKHTB(ARG1, ARG2, ARG3)      ( (((int32_t)(ARG1) <<  0) & (int32_t)0xFFFF0000) | \
-                                         (((int32_t)(ARG2) >> ARG3) & (int32_t)0x0000FFFF)  )
-
-#endif
-
-
-   /**
-   * @brief definition to pack four 8 bit values.
-   */
-#ifndef ARM_MATH_BIG_ENDIAN
-
-#define __PACKq7(v0,v1,v2,v3) ( (((int32_t)(v0) <<  0) & (int32_t)0x000000FF) |	\
-                                (((int32_t)(v1) <<  8) & (int32_t)0x0000FF00) |	\
-							    (((int32_t)(v2) << 16) & (int32_t)0x00FF0000) |	\
-							    (((int32_t)(v3) << 24) & (int32_t)0xFF000000)  )
-#else
-
-#define __PACKq7(v0,v1,v2,v3) ( (((int32_t)(v3) <<  0) & (int32_t)0x000000FF) |	\
-                                (((int32_t)(v2) <<  8) & (int32_t)0x0000FF00) |	\
-							    (((int32_t)(v1) << 16) & (int32_t)0x00FF0000) |	\
-							    (((int32_t)(v0) << 24) & (int32_t)0xFF000000)  )
-
-#endif
-
-
-  /**
-   * @brief Clips Q63 to Q31 values.
-   */
-  __STATIC_INLINE q31_t clip_q63_to_q31(
-  q63_t x)
-  {
-    return ((q31_t) (x >> 32) != ((q31_t) x >> 31)) ?
-      ((0x7FFFFFFF ^ ((q31_t) (x >> 63)))) : (q31_t) x;
-  }
-
-  /**
-   * @brief Clips Q63 to Q15 values.
-   */
-  __STATIC_INLINE q15_t clip_q63_to_q15(
-  q63_t x)
-  {
-    return ((q31_t) (x >> 32) != ((q31_t) x >> 31)) ?
-      ((0x7FFF ^ ((q15_t) (x >> 63)))) : (q15_t) (x >> 15);
-  }
-
-  /**
-   * @brief Clips Q31 to Q7 values.
-   */
-  __STATIC_INLINE q7_t clip_q31_to_q7(
-  q31_t x)
-  {
-    return ((q31_t) (x >> 24) != ((q31_t) x >> 23)) ?
-      ((0x7F ^ ((q7_t) (x >> 31)))) : (q7_t) x;
-  }
-
-  /**
-   * @brief Clips Q31 to Q15 values.
-   */
-  __STATIC_INLINE q15_t clip_q31_to_q15(
-  q31_t x)
-  {
-    return ((q31_t) (x >> 16) != ((q31_t) x >> 15)) ?
-      ((0x7FFF ^ ((q15_t) (x >> 31)))) : (q15_t) x;
-  }
-
-  /**
-   * @brief Multiplies 32 X 64 and returns 32 bit result in 2.30 format.
-   */
-
-  __STATIC_INLINE q63_t mult32x64(
-  q63_t x,
-  q31_t y)
-  {
-    return ((((q63_t) (x & 0x00000000FFFFFFFF) * y) >> 32) +
-            (((q63_t) (x >> 32) * y)));
-  }
-
-
-#if defined (ARM_MATH_CM0) && defined ( __CC_ARM   )
-#define __CLZ __clz
-#endif
-
-#if defined (ARM_MATH_CM0) && defined ( __TASKING__ )
-/* No need to redefine __CLZ */
-#endif
-
-#if defined (ARM_MATH_CM0) && ((defined (__ICCARM__)) ||(defined (__GNUC__)) )
-
-  __STATIC_INLINE  uint32_t __CLZ(q31_t data);
-
-
-  __STATIC_INLINE uint32_t __CLZ(q31_t data)
-  {
-    uint32_t count = 0;
-    uint32_t mask = 0x80000000;
-
-    while((data & mask) == 0)
-    {
-      count += 1u;
-      mask = mask >> 1u;
-    }
-
-    return (count);
-
-  }
-
-#endif
-
-  /**
-   * @brief Function to Calculates 1/in(reciprocal) value of Q31 Data type.
-   */
-
-  __STATIC_INLINE uint32_t arm_recip_q31(
-  q31_t in,
-  q31_t * dst,
-  q31_t * pRecipTable)
-  {
-
-    uint32_t out, tempVal;
-    uint32_t index, i;
-    uint32_t signBits;
-
-    if(in > 0)
-    {
-      signBits = __CLZ(in) - 1;
-    }
-    else
-    {
-      signBits = __CLZ(-in) - 1;
-    }
-
-    /* Convert input sample to 1.31 format */
-    in = in << signBits;
-
-    /* calculation of index for initial approximated Val */
-    index = (uint32_t) (in >> 24u);
-    index = (index & INDEX_MASK);
-
-    /* 1.31 with exp 1 */
-    out = pRecipTable[index];
-
-    /* calculation of reciprocal value */
-    /* running approximation for two iterations */
-    for (i = 0u; i < 2u; i++)
-    {
-      tempVal = (q31_t) (((q63_t) in * out) >> 31u);
-      tempVal = 0x7FFFFFFF - tempVal;
-      /*      1.31 with exp 1 */
-      //out = (q31_t) (((q63_t) out * tempVal) >> 30u);
-      out = (q31_t) clip_q63_to_q31(((q63_t) out * tempVal) >> 30u);
-    }
-
-    /* write output */
-    *dst = out;
-
-    /* return num of signbits of out = 1/in value */
-    return (signBits + 1u);
-
-  }
-
-  /**
-   * @brief Function to Calculates 1/in(reciprocal) value of Q15 Data type.
-   */
-  __STATIC_INLINE uint32_t arm_recip_q15(
-  q15_t in,
-  q15_t * dst,
-  q15_t * pRecipTable)
-  {
-
-    uint32_t out = 0, tempVal = 0;
-    uint32_t index = 0, i = 0;
-    uint32_t signBits = 0;
-
-    if(in > 0)
-    {
-      signBits = __CLZ(in) - 17;
-    }
-    else
-    {
-      signBits = __CLZ(-in) - 17;
-    }
-
-    /* Convert input sample to 1.15 format */
-    in = in << signBits;
-
-    /* calculation of index for initial approximated Val */
-    index = in >> 8;
-    index = (index & INDEX_MASK);
-
-    /*      1.15 with exp 1  */
-    out = pRecipTable[index];
-
-    /* calculation of reciprocal value */
-    /* running approximation for two iterations */
-    for (i = 0; i < 2; i++)
-    {
-      tempVal = (q15_t) (((q31_t) in * out) >> 15);
-      tempVal = 0x7FFF - tempVal;
-      /*      1.15 with exp 1 */
-      out = (q15_t) (((q31_t) out * tempVal) >> 14);
-    }
-
-    /* write output */
-    *dst = out;
-
-    /* return num of signbits of out = 1/in value */
-    return (signBits + 1);
-
-  }
-
-
-  /*
-   * @brief C custom defined intrinisic function for only M0 processors
-   */
-#if defined(ARM_MATH_CM0)
-
-  __STATIC_INLINE q31_t __SSAT(
-  q31_t x,
-  uint32_t y)
-  {
-    int32_t posMax, negMin;
-    uint32_t i;
-
-    posMax = 1;
-    for (i = 0; i < (y - 1); i++)
-    {
-      posMax = posMax * 2;
-    }
-
-    if(x > 0)
-    {
-      posMax = (posMax - 1);
-
-      if(x > posMax)
-      {
-        x = posMax;
-      }
-    }
-    else
-    {
-      negMin = -posMax;
-
-      if(x < negMin)
-      {
-        x = negMin;
-      }
-    }
-    return (x);
-
-
-  }
-
-#endif /* end of ARM_MATH_CM0 */
-
-
-
-  /*
-   * @brief C custom defined intrinsic function for M3 and M0 processors
-   */
-#if defined (ARM_MATH_CM3) || defined (ARM_MATH_CM0)
-
-  /*
-   * @brief C custom defined QADD8 for M3 and M0 processors
-   */
-  __STATIC_INLINE q31_t __QADD8(
-  q31_t x,
-  q31_t y)
-  {
-
-    q31_t sum;
-    q7_t r, s, t, u;
-
-    r = (q7_t) x;
-    s = (q7_t) y;
-
-    r = __SSAT((q31_t) (r + s), 8);
-    s = __SSAT(((q31_t) (((x << 16) >> 24) + ((y << 16) >> 24))), 8);
-    t = __SSAT(((q31_t) (((x << 8) >> 24) + ((y << 8) >> 24))), 8);
-    u = __SSAT(((q31_t) ((x >> 24) + (y >> 24))), 8);
-
-    sum =
-      (((q31_t) u << 24) & 0xFF000000) | (((q31_t) t << 16) & 0x00FF0000) |
-      (((q31_t) s << 8) & 0x0000FF00) | (r & 0x000000FF);
-
-    return sum;
-
-  }
-
-  /*
-   * @brief C custom defined QSUB8 for M3 and M0 processors
-   */
-  __STATIC_INLINE q31_t __QSUB8(
-  q31_t x,
-  q31_t y)
-  {
-
-    q31_t sum;
-    q31_t r, s, t, u;
-
-    r = (q7_t) x;
-    s = (q7_t) y;
-
-    r = __SSAT((r - s), 8);
-    s = __SSAT(((q31_t) (((x << 16) >> 24) - ((y << 16) >> 24))), 8) << 8;
-    t = __SSAT(((q31_t) (((x << 8) >> 24) - ((y << 8) >> 24))), 8) << 16;
-    u = __SSAT(((q31_t) ((x >> 24) - (y >> 24))), 8) << 24;
-
-    sum =
-      (u & 0xFF000000) | (t & 0x00FF0000) | (s & 0x0000FF00) | (r &
-                                                                0x000000FF);
-
-    return sum;
-  }
-
-  /*
-   * @brief C custom defined QADD16 for M3 and M0 processors
-   */
-
-  /*
-   * @brief C custom defined QADD16 for M3 and M0 processors
-   */
-  __STATIC_INLINE q31_t __QADD16(
-  q31_t x,
-  q31_t y)
-  {
-
-    q31_t sum;
-    q31_t r, s;
-
-    r = (short) x;
-    s = (short) y;
-
-    r = __SSAT(r + s, 16);
-    s = __SSAT(((q31_t) ((x >> 16) + (y >> 16))), 16) << 16;
-
-    sum = (s & 0xFFFF0000) | (r & 0x0000FFFF);
-
-    return sum;
-
-  }
-
-  /*
-   * @brief C custom defined SHADD16 for M3 and M0 processors
-   */
-  __STATIC_INLINE q31_t __SHADD16(
-  q31_t x,
-  q31_t y)
-  {
-
-    q31_t sum;
-    q31_t r, s;
-
-    r = (short) x;
-    s = (short) y;
-
-    r = ((r >> 1) + (s >> 1));
-    s = ((q31_t) ((x >> 17) + (y >> 17))) << 16;
-
-    sum = (s & 0xFFFF0000) | (r & 0x0000FFFF);
-
-    return sum;
-
-  }
-
-  /*
-   * @brief C custom defined QSUB16 for M3 and M0 processors
-   */
-  __STATIC_INLINE q31_t __QSUB16(
-  q31_t x,
-  q31_t y)
-  {
-
-    q31_t sum;
-    q31_t r, s;
-
-    r = (short) x;
-    s = (short) y;
-
-    r = __SSAT(r - s, 16);
-    s = __SSAT(((q31_t) ((x >> 16) - (y >> 16))), 16) << 16;
-
-    sum = (s & 0xFFFF0000) | (r & 0x0000FFFF);
-
-    return sum;
-  }
-
-  /*
-   * @brief C custom defined SHSUB16 for M3 and M0 processors
-   */
-  __STATIC_INLINE q31_t __SHSUB16(
-  q31_t x,
-  q31_t y)
-  {
-
-    q31_t diff;
-    q31_t r, s;
-
-    r = (short) x;
-    s = (short) y;
-
-    r = ((r >> 1) - (s >> 1));
-    s = (((x >> 17) - (y >> 17)) << 16);
-
-    diff = (s & 0xFFFF0000) | (r & 0x0000FFFF);
-
-    return diff;
-  }
-
-  /*
-   * @brief C custom defined QASX for M3 and M0 processors
-   */
-  __STATIC_INLINE q31_t __QASX(
-  q31_t x,
-  q31_t y)
-  {
-
-    q31_t sum = 0;
-
-    sum =
-      ((sum +
-        clip_q31_to_q15((q31_t) ((short) (x >> 16) + (short) y))) << 16) +
-      clip_q31_to_q15((q31_t) ((short) x - (short) (y >> 16)));
-
-    return sum;
-  }
-
-  /*
-   * @brief C custom defined SHASX for M3 and M0 processors
-   */
-  __STATIC_INLINE q31_t __SHASX(
-  q31_t x,
-  q31_t y)
-  {
-
-    q31_t sum;
-    q31_t r, s;
-
-    r = (short) x;
-    s = (short) y;
-
-    r = ((r >> 1) - (y >> 17));
-    s = (((x >> 17) + (s >> 1)) << 16);
-
-    sum = (s & 0xFFFF0000) | (r & 0x0000FFFF);
-
-    return sum;
-  }
-
-
-  /*
-   * @brief C custom defined QSAX for M3 and M0 processors
-   */
-  __STATIC_INLINE q31_t __QSAX(
-  q31_t x,
-  q31_t y)
-  {
-
-    q31_t sum = 0;
-
-    sum =
-      ((sum +
-        clip_q31_to_q15((q31_t) ((short) (x >> 16) - (short) y))) << 16) +
-      clip_q31_to_q15((q31_t) ((short) x + (short) (y >> 16)));
-
-    return sum;
-  }
-
-  /*
-   * @brief C custom defined SHSAX for M3 and M0 processors
-   */
-  __STATIC_INLINE q31_t __SHSAX(
-  q31_t x,
-  q31_t y)
-  {
-
-    q31_t sum;
-    q31_t r, s;
-
-    r = (short) x;
-    s = (short) y;
-
-    r = ((r >> 1) + (y >> 17));
-    s = (((x >> 17) - (s >> 1)) << 16);
-
-    sum = (s & 0xFFFF0000) | (r & 0x0000FFFF);
-
-    return sum;
-  }
-
-  /*
-   * @brief C custom defined SMUSDX for M3 and M0 processors
-   */
-  __STATIC_INLINE q31_t __SMUSDX(
-  q31_t x,
-  q31_t y)
-  {
-
-    return ((q31_t) (((short) x * (short) (y >> 16)) -
-                     ((short) (x >> 16) * (short) y)));
-  }
-
-  /*
-   * @brief C custom defined SMUADX for M3 and M0 processors
-   */
-  __STATIC_INLINE q31_t __SMUADX(
-  q31_t x,
-  q31_t y)
-  {
-
-    return ((q31_t) (((short) x * (short) (y >> 16)) +
-                     ((short) (x >> 16) * (short) y)));
-  }
-
-  /*
-   * @brief C custom defined QADD for M3 and M0 processors
-   */
-  __STATIC_INLINE q31_t __QADD(
-  q31_t x,
-  q31_t y)
-  {
-    return clip_q63_to_q31((q63_t) x + y);
-  }
-
-  /*
-   * @brief C custom defined QSUB for M3 and M0 processors
-   */
-  __STATIC_INLINE q31_t __QSUB(
-  q31_t x,
-  q31_t y)
-  {
-    return clip_q63_to_q31((q63_t) x - y);
-  }
-
-  /*
-   * @brief C custom defined SMLAD for M3 and M0 processors
-   */
-  __STATIC_INLINE q31_t __SMLAD(
-  q31_t x,
-  q31_t y,
-  q31_t sum)
-  {
-
-    return (sum + ((short) (x >> 16) * (short) (y >> 16)) +
-            ((short) x * (short) y));
-  }
-
-  /*
-   * @brief C custom defined SMLADX for M3 and M0 processors
-   */
-  __STATIC_INLINE q31_t __SMLADX(
-  q31_t x,
-  q31_t y,
-  q31_t sum)
-  {
-
-    return (sum + ((short) (x >> 16) * (short) (y)) +
-            ((short) x * (short) (y >> 16)));
-  }
-
-  /*
-   * @brief C custom defined SMLSDX for M3 and M0 processors
-   */
-  __STATIC_INLINE q31_t __SMLSDX(
-  q31_t x,
-  q31_t y,
-  q31_t sum)
-  {
-
-    return (sum - ((short) (x >> 16) * (short) (y)) +
-            ((short) x * (short) (y >> 16)));
-  }
-
-  /*
-   * @brief C custom defined SMLALD for M3 and M0 processors
-   */
-  __STATIC_INLINE q63_t __SMLALD(
-  q31_t x,
-  q31_t y,
-  q63_t sum)
-  {
-
-    return (sum + ((short) (x >> 16) * (short) (y >> 16)) +
-            ((short) x * (short) y));
-  }
-
-  /*
-   * @brief C custom defined SMLALDX for M3 and M0 processors
-   */
-  __STATIC_INLINE q63_t __SMLALDX(
-  q31_t x,
-  q31_t y,
-  q63_t sum)
-  {
-
-    return (sum + ((short) (x >> 16) * (short) y)) +
-      ((short) x * (short) (y >> 16));
-  }
-
-  /*
-   * @brief C custom defined SMUAD for M3 and M0 processors
-   */
-  __STATIC_INLINE q31_t __SMUAD(
-  q31_t x,
-  q31_t y)
-  {
-
-    return (((x >> 16) * (y >> 16)) +
-            (((x << 16) >> 16) * ((y << 16) >> 16)));
-  }
-
-  /*
-   * @brief C custom defined SMUSD for M3 and M0 processors
-   */
-  __STATIC_INLINE q31_t __SMUSD(
-  q31_t x,
-  q31_t y)
-  {
-
-    return (-((x >> 16) * (y >> 16)) +
-            (((x << 16) >> 16) * ((y << 16) >> 16)));
-  }
-
-
-  /*
-   * @brief C custom defined SXTB16 for M3 and M0 processors
-   */
-  __STATIC_INLINE q31_t __SXTB16(
-  q31_t x)
-  {
-
-    return ((((x << 24) >> 24) & 0x0000FFFF) |
-            (((x << 8) >> 8) & 0xFFFF0000));
-  }
-
-
-#endif /* defined (ARM_MATH_CM3) || defined (ARM_MATH_CM0) */
-
-
-  /**
-   * @brief Instance structure for the Q7 FIR filter.
-   */
-  typedef struct
-  {
-    uint16_t numTaps;        /**< number of filter coefficients in the filter. */
-    q7_t *pState;            /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
-    q7_t *pCoeffs;           /**< points to the coefficient array. The array is of length numTaps.*/
-  } arm_fir_instance_q7;
-
-  /**
-   * @brief Instance structure for the Q15 FIR filter.
-   */
-  typedef struct
-  {
-    uint16_t numTaps;         /**< number of filter coefficients in the filter. */
-    q15_t *pState;            /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
-    q15_t *pCoeffs;           /**< points to the coefficient array. The array is of length numTaps.*/
-  } arm_fir_instance_q15;
-
-  /**
-   * @brief Instance structure for the Q31 FIR filter.
-   */
-  typedef struct
-  {
-    uint16_t numTaps;         /**< number of filter coefficients in the filter. */
-    q31_t *pState;            /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
-    q31_t *pCoeffs;           /**< points to the coefficient array. The array is of length numTaps. */
-  } arm_fir_instance_q31;
-
-  /**
-   * @brief Instance structure for the floating-point FIR filter.
-   */
-  typedef struct
-  {
-    uint16_t numTaps;     /**< number of filter coefficients in the filter. */
-    float32_t *pState;    /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
-    float32_t *pCoeffs;   /**< points to the coefficient array. The array is of length numTaps. */
-  } arm_fir_instance_f32;
-
-
-  /**
-   * @brief Processing function for the Q7 FIR filter.
-   * @param[in] *S points to an instance of the Q7 FIR filter structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-  void arm_fir_q7(
-  const arm_fir_instance_q7 * S,
-  q7_t * pSrc,
-  q7_t * pDst,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief  Initialization function for the Q7 FIR filter.
-   * @param[in,out] *S points to an instance of the Q7 FIR structure.
-   * @param[in] numTaps  Number of filter coefficients in the filter.
-   * @param[in] *pCoeffs points to the filter coefficients.
-   * @param[in] *pState points to the state buffer.
-   * @param[in] blockSize number of samples that are processed.
-   * @return none
-   */
-  void arm_fir_init_q7(
-  arm_fir_instance_q7 * S,
-  uint16_t numTaps,
-  q7_t * pCoeffs,
-  q7_t * pState,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief Processing function for the Q15 FIR filter.
-   * @param[in] *S points to an instance of the Q15 FIR structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-  void arm_fir_q15(
-  const arm_fir_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Processing function for the fast Q15 FIR filter for Cortex-M3 and Cortex-M4.
-   * @param[in] *S points to an instance of the Q15 FIR filter structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-  void arm_fir_fast_q15(
-  const arm_fir_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Initialization function for the Q15 FIR filter.
-   * @param[in,out] *S points to an instance of the Q15 FIR filter structure.
-   * @param[in] numTaps  Number of filter coefficients in the filter. Must be even and greater than or equal to 4.
-   * @param[in] *pCoeffs points to the filter coefficients.
-   * @param[in] *pState points to the state buffer.
-   * @param[in] blockSize number of samples that are processed at a time.
-   * @return The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_ARGUMENT_ERROR if
-   * numTaps is not a supported value.
-   */
-
-  arm_status arm_fir_init_q15(
-  arm_fir_instance_q15 * S,
-  uint16_t numTaps,
-  q15_t * pCoeffs,
-  q15_t * pState,
-  uint32_t blockSize);
-
-  /**
-   * @brief Processing function for the Q31 FIR filter.
-   * @param[in] *S points to an instance of the Q31 FIR filter structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-  void arm_fir_q31(
-  const arm_fir_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Processing function for the fast Q31 FIR filter for Cortex-M3 and Cortex-M4.
-   * @param[in] *S points to an instance of the Q31 FIR structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-  void arm_fir_fast_q31(
-  const arm_fir_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Initialization function for the Q31 FIR filter.
-   * @param[in,out] *S points to an instance of the Q31 FIR structure.
-   * @param[in] 	numTaps  Number of filter coefficients in the filter.
-   * @param[in] 	*pCoeffs points to the filter coefficients.
-   * @param[in] 	*pState points to the state buffer.
-   * @param[in] 	blockSize number of samples that are processed at a time.
-   * @return 		none.
-   */
-  void arm_fir_init_q31(
-  arm_fir_instance_q31 * S,
-  uint16_t numTaps,
-  q31_t * pCoeffs,
-  q31_t * pState,
-  uint32_t blockSize);
-
-  /**
-   * @brief Processing function for the floating-point FIR filter.
-   * @param[in] *S points to an instance of the floating-point FIR structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-  void arm_fir_f32(
-  const arm_fir_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Initialization function for the floating-point FIR filter.
-   * @param[in,out] *S points to an instance of the floating-point FIR filter structure.
-   * @param[in] 	numTaps  Number of filter coefficients in the filter.
-   * @param[in] 	*pCoeffs points to the filter coefficients.
-   * @param[in] 	*pState points to the state buffer.
-   * @param[in] 	blockSize number of samples that are processed at a time.
-   * @return    	none.
-   */
-  void arm_fir_init_f32(
-  arm_fir_instance_f32 * S,
-  uint16_t numTaps,
-  float32_t * pCoeffs,
-  float32_t * pState,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief Instance structure for the Q15 Biquad cascade filter.
-   */
-  typedef struct
-  {
-    int8_t numStages;         /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */
-    q15_t *pState;            /**< Points to the array of state coefficients.  The array is of length 4*numStages. */
-    q15_t *pCoeffs;           /**< Points to the array of coefficients.  The array is of length 5*numStages. */
-    int8_t postShift;         /**< Additional shift, in bits, applied to each output sample. */
-
-  } arm_biquad_casd_df1_inst_q15;
-
-
-  /**
-   * @brief Instance structure for the Q31 Biquad cascade filter.
-   */
-  typedef struct
-  {
-    uint32_t numStages;      /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */
-    q31_t *pState;           /**< Points to the array of state coefficients.  The array is of length 4*numStages. */
-    q31_t *pCoeffs;          /**< Points to the array of coefficients.  The array is of length 5*numStages. */
-    uint8_t postShift;       /**< Additional shift, in bits, applied to each output sample. */
-
-  } arm_biquad_casd_df1_inst_q31;
-
-  /**
-   * @brief Instance structure for the floating-point Biquad cascade filter.
-   */
-  typedef struct
-  {
-    uint32_t numStages;         /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */
-    float32_t *pState;          /**< Points to the array of state coefficients.  The array is of length 4*numStages. */
-    float32_t *pCoeffs;         /**< Points to the array of coefficients.  The array is of length 5*numStages. */
-
-
-  } arm_biquad_casd_df1_inst_f32;
-
-
-
-  /**
-   * @brief Processing function for the Q15 Biquad cascade filter.
-   * @param[in]  *S points to an instance of the Q15 Biquad cascade structure.
-   * @param[in]  *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data.
-   * @param[in]  blockSize number of samples to process.
-   * @return     none.
-   */
-
-  void arm_biquad_cascade_df1_q15(
-  const arm_biquad_casd_df1_inst_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Initialization function for the Q15 Biquad cascade filter.
-   * @param[in,out] *S           points to an instance of the Q15 Biquad cascade structure.
-   * @param[in]     numStages    number of 2nd order stages in the filter.
-   * @param[in]     *pCoeffs     points to the filter coefficients.
-   * @param[in]     *pState      points to the state buffer.
-   * @param[in]     postShift    Shift to be applied to the output. Varies according to the coefficients format
-   * @return        none
-   */
-
-  void arm_biquad_cascade_df1_init_q15(
-  arm_biquad_casd_df1_inst_q15 * S,
-  uint8_t numStages,
-  q15_t * pCoeffs,
-  q15_t * pState,
-  int8_t postShift);
-
-
-  /**
-   * @brief Fast but less precise processing function for the Q15 Biquad cascade filter for Cortex-M3 and Cortex-M4.
-   * @param[in]  *S points to an instance of the Q15 Biquad cascade structure.
-   * @param[in]  *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data.
-   * @param[in]  blockSize number of samples to process.
-   * @return     none.
-   */
-
-  void arm_biquad_cascade_df1_fast_q15(
-  const arm_biquad_casd_df1_inst_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief Processing function for the Q31 Biquad cascade filter
-   * @param[in]  *S         points to an instance of the Q31 Biquad cascade structure.
-   * @param[in]  *pSrc      points to the block of input data.
-   * @param[out] *pDst      points to the block of output data.
-   * @param[in]  blockSize  number of samples to process.
-   * @return     none.
-   */
-
-  void arm_biquad_cascade_df1_q31(
-  const arm_biquad_casd_df1_inst_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Fast but less precise processing function for the Q31 Biquad cascade filter for Cortex-M3 and Cortex-M4.
-   * @param[in]  *S         points to an instance of the Q31 Biquad cascade structure.
-   * @param[in]  *pSrc      points to the block of input data.
-   * @param[out] *pDst      points to the block of output data.
-   * @param[in]  blockSize  number of samples to process.
-   * @return     none.
-   */
-
-  void arm_biquad_cascade_df1_fast_q31(
-  const arm_biquad_casd_df1_inst_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Initialization function for the Q31 Biquad cascade filter.
-   * @param[in,out] *S           points to an instance of the Q31 Biquad cascade structure.
-   * @param[in]     numStages      number of 2nd order stages in the filter.
-   * @param[in]     *pCoeffs     points to the filter coefficients.
-   * @param[in]     *pState      points to the state buffer.
-   * @param[in]     postShift    Shift to be applied to the output. Varies according to the coefficients format
-   * @return        none
-   */
-
-  void arm_biquad_cascade_df1_init_q31(
-  arm_biquad_casd_df1_inst_q31 * S,
-  uint8_t numStages,
-  q31_t * pCoeffs,
-  q31_t * pState,
-  int8_t postShift);
-
-  /**
-   * @brief Processing function for the floating-point Biquad cascade filter.
-   * @param[in]  *S         points to an instance of the floating-point Biquad cascade structure.
-   * @param[in]  *pSrc      points to the block of input data.
-   * @param[out] *pDst      points to the block of output data.
-   * @param[in]  blockSize  number of samples to process.
-   * @return     none.
-   */
-
-  void arm_biquad_cascade_df1_f32(
-  const arm_biquad_casd_df1_inst_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Initialization function for the floating-point Biquad cascade filter.
-   * @param[in,out] *S           points to an instance of the floating-point Biquad cascade structure.
-   * @param[in]     numStages    number of 2nd order stages in the filter.
-   * @param[in]     *pCoeffs     points to the filter coefficients.
-   * @param[in]     *pState      points to the state buffer.
-   * @return        none
-   */
-
-  void arm_biquad_cascade_df1_init_f32(
-  arm_biquad_casd_df1_inst_f32 * S,
-  uint8_t numStages,
-  float32_t * pCoeffs,
-  float32_t * pState);
-
-
-  /**
-   * @brief Instance structure for the floating-point matrix structure.
-   */
-
-  typedef struct
-  {
-    uint16_t numRows;     /**< number of rows of the matrix.     */
-    uint16_t numCols;     /**< number of columns of the matrix.  */
-    float32_t *pData;     /**< points to the data of the matrix. */
-  } arm_matrix_instance_f32;
-
-  /**
-   * @brief Instance structure for the Q15 matrix structure.
-   */
-
-  typedef struct
-  {
-    uint16_t numRows;     /**< number of rows of the matrix.     */
-    uint16_t numCols;     /**< number of columns of the matrix.  */
-    q15_t *pData;         /**< points to the data of the matrix. */
-
-  } arm_matrix_instance_q15;
-
-  /**
-   * @brief Instance structure for the Q31 matrix structure.
-   */
-
-  typedef struct
-  {
-    uint16_t numRows;     /**< number of rows of the matrix.     */
-    uint16_t numCols;     /**< number of columns of the matrix.  */
-    q31_t *pData;         /**< points to the data of the matrix. */
-
-  } arm_matrix_instance_q31;
-
-
-
-  /**
-   * @brief Floating-point matrix addition.
-   * @param[in]       *pSrcA points to the first input matrix structure
-   * @param[in]       *pSrcB points to the second input matrix structure
-   * @param[out]      *pDst points to output matrix structure
-   * @return     The function returns either
-   * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
-   */
-
-  arm_status arm_mat_add_f32(
-  const arm_matrix_instance_f32 * pSrcA,
-  const arm_matrix_instance_f32 * pSrcB,
-  arm_matrix_instance_f32 * pDst);
-
-  /**
-   * @brief Q15 matrix addition.
-   * @param[in]       *pSrcA points to the first input matrix structure
-   * @param[in]       *pSrcB points to the second input matrix structure
-   * @param[out]      *pDst points to output matrix structure
-   * @return     The function returns either
-   * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
-   */
-
-  arm_status arm_mat_add_q15(
-  const arm_matrix_instance_q15 * pSrcA,
-  const arm_matrix_instance_q15 * pSrcB,
-  arm_matrix_instance_q15 * pDst);
-
-  /**
-   * @brief Q31 matrix addition.
-   * @param[in]       *pSrcA points to the first input matrix structure
-   * @param[in]       *pSrcB points to the second input matrix structure
-   * @param[out]      *pDst points to output matrix structure
-   * @return     The function returns either
-   * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
-   */
-
-  arm_status arm_mat_add_q31(
-  const arm_matrix_instance_q31 * pSrcA,
-  const arm_matrix_instance_q31 * pSrcB,
-  arm_matrix_instance_q31 * pDst);
-
-
-  /**
-   * @brief Floating-point matrix transpose.
-   * @param[in]  *pSrc points to the input matrix
-   * @param[out] *pDst points to the output matrix
-   * @return 	The function returns either  ARM_MATH_SIZE_MISMATCH
-   * or ARM_MATH_SUCCESS based on the outcome of size checking.
-   */
-
-  arm_status arm_mat_trans_f32(
-  const arm_matrix_instance_f32 * pSrc,
-  arm_matrix_instance_f32 * pDst);
-
-
-  /**
-   * @brief Q15 matrix transpose.
-   * @param[in]  *pSrc points to the input matrix
-   * @param[out] *pDst points to the output matrix
-   * @return 	The function returns either  ARM_MATH_SIZE_MISMATCH
-   * or ARM_MATH_SUCCESS based on the outcome of size checking.
-   */
-
-  arm_status arm_mat_trans_q15(
-  const arm_matrix_instance_q15 * pSrc,
-  arm_matrix_instance_q15 * pDst);
-
-  /**
-   * @brief Q31 matrix transpose.
-   * @param[in]  *pSrc points to the input matrix
-   * @param[out] *pDst points to the output matrix
-   * @return 	The function returns either  ARM_MATH_SIZE_MISMATCH
-   * or ARM_MATH_SUCCESS based on the outcome of size checking.
-   */
-
-  arm_status arm_mat_trans_q31(
-  const arm_matrix_instance_q31 * pSrc,
-  arm_matrix_instance_q31 * pDst);
-
-
-  /**
-   * @brief Floating-point matrix multiplication
-   * @param[in]       *pSrcA points to the first input matrix structure
-   * @param[in]       *pSrcB points to the second input matrix structure
-   * @param[out]      *pDst points to output matrix structure
-   * @return     The function returns either
-   * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
-   */
-
-  arm_status arm_mat_mult_f32(
-  const arm_matrix_instance_f32 * pSrcA,
-  const arm_matrix_instance_f32 * pSrcB,
-  arm_matrix_instance_f32 * pDst);
-
-  /**
-   * @brief Q15 matrix multiplication
-   * @param[in]       *pSrcA points to the first input matrix structure
-   * @param[in]       *pSrcB points to the second input matrix structure
-   * @param[out]      *pDst points to output matrix structure
-   * @return     The function returns either
-   * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
-   */
-
-  arm_status arm_mat_mult_q15(
-  const arm_matrix_instance_q15 * pSrcA,
-  const arm_matrix_instance_q15 * pSrcB,
-  arm_matrix_instance_q15 * pDst,
-  q15_t * pState);
-
-  /**
-   * @brief Q15 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4
-   * @param[in]       *pSrcA  points to the first input matrix structure
-   * @param[in]       *pSrcB  points to the second input matrix structure
-   * @param[out]      *pDst   points to output matrix structure
-   * @param[in]		  *pState points to the array for storing intermediate results  
-   * @return     The function returns either
-   * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
-   */
-
-  arm_status arm_mat_mult_fast_q15(
-  const arm_matrix_instance_q15 * pSrcA,
-  const arm_matrix_instance_q15 * pSrcB,
-  arm_matrix_instance_q15 * pDst,
-  q15_t * pState);
-
-  /**
-   * @brief Q31 matrix multiplication
-   * @param[in]       *pSrcA points to the first input matrix structure
-   * @param[in]       *pSrcB points to the second input matrix structure
-   * @param[out]      *pDst points to output matrix structure
-   * @return     The function returns either
-   * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
-   */
-
-  arm_status arm_mat_mult_q31(
-  const arm_matrix_instance_q31 * pSrcA,
-  const arm_matrix_instance_q31 * pSrcB,
-  arm_matrix_instance_q31 * pDst);
-
-  /**
-   * @brief Q31 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4
-   * @param[in]       *pSrcA points to the first input matrix structure
-   * @param[in]       *pSrcB points to the second input matrix structure
-   * @param[out]      *pDst points to output matrix structure
-   * @return     The function returns either
-   * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
-   */
-
-  arm_status arm_mat_mult_fast_q31(
-  const arm_matrix_instance_q31 * pSrcA,
-  const arm_matrix_instance_q31 * pSrcB,
-  arm_matrix_instance_q31 * pDst);
-
-
-  /**
-   * @brief Floating-point matrix subtraction
-   * @param[in]       *pSrcA points to the first input matrix structure
-   * @param[in]       *pSrcB points to the second input matrix structure
-   * @param[out]      *pDst points to output matrix structure
-   * @return     The function returns either
-   * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
-   */
-
-  arm_status arm_mat_sub_f32(
-  const arm_matrix_instance_f32 * pSrcA,
-  const arm_matrix_instance_f32 * pSrcB,
-  arm_matrix_instance_f32 * pDst);
-
-  /**
-   * @brief Q15 matrix subtraction
-   * @param[in]       *pSrcA points to the first input matrix structure
-   * @param[in]       *pSrcB points to the second input matrix structure
-   * @param[out]      *pDst points to output matrix structure
-   * @return     The function returns either
-   * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
-   */
-
-  arm_status arm_mat_sub_q15(
-  const arm_matrix_instance_q15 * pSrcA,
-  const arm_matrix_instance_q15 * pSrcB,
-  arm_matrix_instance_q15 * pDst);
-
-  /**
-   * @brief Q31 matrix subtraction
-   * @param[in]       *pSrcA points to the first input matrix structure
-   * @param[in]       *pSrcB points to the second input matrix structure
-   * @param[out]      *pDst points to output matrix structure
-   * @return     The function returns either
-   * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
-   */
-
-  arm_status arm_mat_sub_q31(
-  const arm_matrix_instance_q31 * pSrcA,
-  const arm_matrix_instance_q31 * pSrcB,
-  arm_matrix_instance_q31 * pDst);
-
-  /**
-   * @brief Floating-point matrix scaling.
-   * @param[in]  *pSrc points to the input matrix
-   * @param[in]  scale scale factor
-   * @param[out] *pDst points to the output matrix
-   * @return     The function returns either
-   * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
-   */
-
-  arm_status arm_mat_scale_f32(
-  const arm_matrix_instance_f32 * pSrc,
-  float32_t scale,
-  arm_matrix_instance_f32 * pDst);
-
-  /**
-   * @brief Q15 matrix scaling.
-   * @param[in]       *pSrc points to input matrix
-   * @param[in]       scaleFract fractional portion of the scale factor
-   * @param[in]       shift number of bits to shift the result by
-   * @param[out]      *pDst points to output matrix
-   * @return     The function returns either
-   * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
-   */
-
-  arm_status arm_mat_scale_q15(
-  const arm_matrix_instance_q15 * pSrc,
-  q15_t scaleFract,
-  int32_t shift,
-  arm_matrix_instance_q15 * pDst);
-
-  /**
-   * @brief Q31 matrix scaling.
-   * @param[in]       *pSrc points to input matrix
-   * @param[in]       scaleFract fractional portion of the scale factor
-   * @param[in]       shift number of bits to shift the result by
-   * @param[out]      *pDst points to output matrix structure
-   * @return     The function returns either
-   * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
-   */
-
-  arm_status arm_mat_scale_q31(
-  const arm_matrix_instance_q31 * pSrc,
-  q31_t scaleFract,
-  int32_t shift,
-  arm_matrix_instance_q31 * pDst);
-
-
-  /**
-   * @brief  Q31 matrix initialization.
-   * @param[in,out] *S             points to an instance of the floating-point matrix structure.
-   * @param[in]     nRows          number of rows in the matrix.
-   * @param[in]     nColumns       number of columns in the matrix.
-   * @param[in]     *pData	       points to the matrix data array.
-   * @return        none
-   */
-
-  void arm_mat_init_q31(
-  arm_matrix_instance_q31 * S,
-  uint16_t nRows,
-  uint16_t nColumns,
-  q31_t * pData);
-
-  /**
-   * @brief  Q15 matrix initialization.
-   * @param[in,out] *S             points to an instance of the floating-point matrix structure.
-   * @param[in]     nRows          number of rows in the matrix.
-   * @param[in]     nColumns       number of columns in the matrix.
-   * @param[in]     *pData	       points to the matrix data array.
-   * @return        none
-   */
-
-  void arm_mat_init_q15(
-  arm_matrix_instance_q15 * S,
-  uint16_t nRows,
-  uint16_t nColumns,
-  q15_t * pData);
-
-  /**
-   * @brief  Floating-point matrix initialization.
-   * @param[in,out] *S             points to an instance of the floating-point matrix structure.
-   * @param[in]     nRows          number of rows in the matrix.
-   * @param[in]     nColumns       number of columns in the matrix.
-   * @param[in]     *pData	       points to the matrix data array.
-   * @return        none
-   */
-
-  void arm_mat_init_f32(
-  arm_matrix_instance_f32 * S,
-  uint16_t nRows,
-  uint16_t nColumns,
-  float32_t * pData);
-
-
-
-  /**
-   * @brief Instance structure for the Q15 PID Control.
-   */
-  typedef struct
-  {
-    q15_t A0;    /**< The derived gain, A0 = Kp + Ki + Kd . */
-#ifdef ARM_MATH_CM0
-    q15_t A1;
-    q15_t A2;
-#else
-    q31_t A1;           /**< The derived gain A1 = -Kp - 2Kd | Kd.*/
-#endif
-    q15_t state[3];       /**< The state array of length 3. */
-    q15_t Kp;           /**< The proportional gain. */
-    q15_t Ki;           /**< The integral gain. */
-    q15_t Kd;           /**< The derivative gain. */
-  } arm_pid_instance_q15;
-
-  /**
-   * @brief Instance structure for the Q31 PID Control.
-   */
-  typedef struct
-  {
-    q31_t A0;            /**< The derived gain, A0 = Kp + Ki + Kd . */
-    q31_t A1;            /**< The derived gain, A1 = -Kp - 2Kd. */
-    q31_t A2;            /**< The derived gain, A2 = Kd . */
-    q31_t state[3];      /**< The state array of length 3. */
-    q31_t Kp;            /**< The proportional gain. */
-    q31_t Ki;            /**< The integral gain. */
-    q31_t Kd;            /**< The derivative gain. */
-
-  } arm_pid_instance_q31;
-
-  /**
-   * @brief Instance structure for the floating-point PID Control.
-   */
-  typedef struct
-  {
-    float32_t A0;          /**< The derived gain, A0 = Kp + Ki + Kd . */
-    float32_t A1;          /**< The derived gain, A1 = -Kp - 2Kd. */
-    float32_t A2;          /**< The derived gain, A2 = Kd . */
-    float32_t state[3];    /**< The state array of length 3. */
-    float32_t Kp;               /**< The proportional gain. */
-    float32_t Ki;               /**< The integral gain. */
-    float32_t Kd;               /**< The derivative gain. */
-  } arm_pid_instance_f32;
-
-
-
-  /**
-   * @brief  Initialization function for the floating-point PID Control.
-   * @param[in,out] *S      points to an instance of the PID structure.
-   * @param[in]     resetStateFlag  flag to reset the state. 0 = no change in state 1 = reset the state.
-   * @return none.
-   */
-  void arm_pid_init_f32(
-  arm_pid_instance_f32 * S,
-  int32_t resetStateFlag);
-
-  /**
-   * @brief  Reset function for the floating-point PID Control.
-   * @param[in,out] *S is an instance of the floating-point PID Control structure
-   * @return none
-   */
-  void arm_pid_reset_f32(
-  arm_pid_instance_f32 * S);
-
-
-  /**
-   * @brief  Initialization function for the Q31 PID Control.
-   * @param[in,out] *S points to an instance of the Q15 PID structure.
-   * @param[in]     resetStateFlag  flag to reset the state. 0 = no change in state 1 = reset the state.
-   * @return none.
-   */
-  void arm_pid_init_q31(
-  arm_pid_instance_q31 * S,
-  int32_t resetStateFlag);
-
-
-  /**
-   * @brief  Reset function for the Q31 PID Control.
-   * @param[in,out] *S points to an instance of the Q31 PID Control structure
-   * @return none
-   */
-
-  void arm_pid_reset_q31(
-  arm_pid_instance_q31 * S);
-
-  /**
-   * @brief  Initialization function for the Q15 PID Control.
-   * @param[in,out] *S points to an instance of the Q15 PID structure.
-   * @param[in] resetStateFlag  flag to reset the state. 0 = no change in state 1 = reset the state.
-   * @return none.
-   */
-  void arm_pid_init_q15(
-  arm_pid_instance_q15 * S,
-  int32_t resetStateFlag);
-
-  /**
-   * @brief  Reset function for the Q15 PID Control.
-   * @param[in,out] *S points to an instance of the q15 PID Control structure
-   * @return none
-   */
-  void arm_pid_reset_q15(
-  arm_pid_instance_q15 * S);
-
-
-  /**
-   * @brief Instance structure for the floating-point Linear Interpolate function.
-   */
-  typedef struct
-  {
-    uint32_t nValues;           /**< nValues */
-    float32_t x1;               /**< x1 */
-    float32_t xSpacing;         /**< xSpacing */
-    float32_t *pYData;          /**< pointer to the table of Y values */
-  } arm_linear_interp_instance_f32;
-
-  /**
-   * @brief Instance structure for the floating-point bilinear interpolation function.
-   */
-
-  typedef struct
-  {
-    uint16_t numRows;   /**< number of rows in the data table. */
-    uint16_t numCols;   /**< number of columns in the data table. */
-    float32_t *pData;   /**< points to the data table. */
-  } arm_bilinear_interp_instance_f32;
-
-   /**
-   * @brief Instance structure for the Q31 bilinear interpolation function.
-   */
-
-  typedef struct
-  {
-    uint16_t numRows;   /**< number of rows in the data table. */
-    uint16_t numCols;   /**< number of columns in the data table. */
-    q31_t *pData;       /**< points to the data table. */
-  } arm_bilinear_interp_instance_q31;
-
-   /**
-   * @brief Instance structure for the Q15 bilinear interpolation function.
-   */
-
-  typedef struct
-  {
-    uint16_t numRows;   /**< number of rows in the data table. */
-    uint16_t numCols;   /**< number of columns in the data table. */
-    q15_t *pData;       /**< points to the data table. */
-  } arm_bilinear_interp_instance_q15;
-
-   /**
-   * @brief Instance structure for the Q15 bilinear interpolation function.
-   */
-
-  typedef struct
-  {
-    uint16_t numRows;   /**< number of rows in the data table. */
-    uint16_t numCols;   /**< number of columns in the data table. */
-    q7_t *pData;                /**< points to the data table. */
-  } arm_bilinear_interp_instance_q7;
-
-
-  /**
-   * @brief Q7 vector multiplication.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[out]      *pDst  points to the output vector
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
-  void arm_mult_q7(
-  q7_t * pSrcA,
-  q7_t * pSrcB,
-  q7_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Q15 vector multiplication.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[out]      *pDst  points to the output vector
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
-  void arm_mult_q15(
-  q15_t * pSrcA,
-  q15_t * pSrcB,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Q31 vector multiplication.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
-  void arm_mult_q31(
-  q31_t * pSrcA,
-  q31_t * pSrcB,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Floating-point vector multiplication.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
-  void arm_mult_f32(
-  float32_t * pSrcA,
-  float32_t * pSrcB,
-  float32_t * pDst,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief Instance structure for the Q15 CFFT/CIFFT function.
-   */
-
-  typedef struct
-  {
-    uint16_t fftLen;                 /**< length of the FFT. */
-    uint8_t ifftFlag;                /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
-    uint8_t bitReverseFlag;          /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
-    q15_t *pTwiddle;                 /**< points to the twiddle factor table. */
-    uint16_t *pBitRevTable;          /**< points to the bit reversal table. */
-    uint16_t twidCoefModifier;       /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
-    uint16_t bitRevFactor;           /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
-  } arm_cfft_radix4_instance_q15;
-
-  /**
-   * @brief Instance structure for the Q31 CFFT/CIFFT function.
-   */
-
-  typedef struct
-  {
-    uint16_t fftLen;                 /**< length of the FFT. */
-    uint8_t ifftFlag;                /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
-    uint8_t bitReverseFlag;          /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
-    q31_t *pTwiddle;                 /**< points to the twiddle factor table. */
-    uint16_t *pBitRevTable;          /**< points to the bit reversal table. */
-    uint16_t twidCoefModifier;       /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
-    uint16_t bitRevFactor;           /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
-  } arm_cfft_radix4_instance_q31;
-
-
-  /**
-   * @brief Instance structure for the floating-point CFFT/CIFFT function.
-   */
-
-  typedef struct
-  {
-    uint16_t fftLen;                   /**< length of the FFT. */
-    uint8_t ifftFlag;                  /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
-    uint8_t bitReverseFlag;            /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
-    float32_t *pTwiddle;               /**< points to the twiddle factor table. */
-    uint16_t *pBitRevTable;            /**< points to the bit reversal table. */
-    uint16_t twidCoefModifier;         /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
-    uint16_t bitRevFactor;             /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
-    float32_t onebyfftLen;                 /**< value of 1/fftLen. */
-  } arm_cfft_radix4_instance_f32;
-
-
-  /**
-   * @brief Instance structure for the Q15 CFFT/CIFFT function.
-   */
-
-  typedef struct
-  {
-    uint16_t fftLen;                 /**< length of the FFT. */
-    uint8_t ifftFlag;                /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
-    uint8_t bitReverseFlag;          /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
-    q15_t *pTwiddle;                     /**< points to the Sin twiddle factor table. */
-    uint16_t *pBitRevTable;          /**< points to the bit reversal table. */
-    uint16_t twidCoefModifier;       /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
-    uint16_t bitRevFactor;           /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
-  } arm_cfft_radix2_instance_q15;
-
-  /**
-   * @brief Instance structure for the Radix-2 Q31 CFFT/CIFFT function.
-   */
-
-  typedef struct
-  {
-    uint16_t fftLen;                 /**< length of the FFT. */
-    uint8_t ifftFlag;                /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
-    uint8_t bitReverseFlag;          /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
-    q31_t *pTwiddle;                     /**< points to the Twiddle factor table. */
-    uint16_t *pBitRevTable;          /**< points to the bit reversal table. */
-    uint16_t twidCoefModifier;       /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
-    uint16_t bitRevFactor;           /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
-  } arm_cfft_radix2_instance_q31;
-
-  /**
-   * @brief Instance structure for the floating-point CFFT/CIFFT function.
-   */
-
-  typedef struct
-  {
-    uint16_t fftLen;                   /**< length of the FFT. */
-    uint8_t ifftFlag;                  /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
-    uint8_t bitReverseFlag;            /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
-    float32_t *pTwiddle;               /**< points to the Twiddle factor table. */
-    uint16_t *pBitRevTable;            /**< points to the bit reversal table. */
-    uint16_t twidCoefModifier;         /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
-    uint16_t bitRevFactor;             /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
-    float32_t onebyfftLen;                 /**< value of 1/fftLen. */
-  } arm_cfft_radix2_instance_f32;
-
-
-  /**
-   * @brief Processing function for the Q15 CFFT/CIFFT.
-   * @param[in]      *S    points to an instance of the Q15 CFFT/CIFFT structure.
-   * @param[in, out] *pSrc points to the complex data buffer. Processing occurs in-place.
-   * @return none.
-   */
-
-  void arm_cfft_radix4_q15(
-  const arm_cfft_radix4_instance_q15 * S,
-  q15_t * pSrc);
-
-  /**
-   * @brief Processing function for the Q15 CFFT/CIFFT.
-   * @param[in]      *S    points to an instance of the Q15 CFFT/CIFFT structure.
-   * @param[in, out] *pSrc points to the complex data buffer. Processing occurs in-place.
-   * @return none.
-   */
-
-  void arm_cfft_radix2_q15(
-  const arm_cfft_radix2_instance_q15 * S,
-  q15_t * pSrc);
-
-  /**
-   * @brief Initialization function for the Q15 CFFT/CIFFT.
-   * @param[in,out] *S             points to an instance of the Q15 CFFT/CIFFT structure.
-   * @param[in]     fftLen         length of the FFT.
-   * @param[in]     ifftFlag       flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.
-   * @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.
-   * @return        arm_status     function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLen is not a supported value.
-   */
-
-  arm_status arm_cfft_radix4_init_q15(
-  arm_cfft_radix4_instance_q15 * S,
-  uint16_t fftLen,
-  uint8_t ifftFlag,
-  uint8_t bitReverseFlag);
-
-  /**
-   * @brief Initialization function for the Q15 CFFT/CIFFT.
-   * @param[in,out] *S             points to an instance of the Q15 CFFT/CIFFT structure.
-   * @param[in]     fftLen         length of the FFT.
-   * @param[in]     ifftFlag       flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.
-   * @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.
-   * @return        arm_status     function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLen is not a supported value.
-   */
-
-  arm_status arm_cfft_radix2_init_q15(
-  arm_cfft_radix2_instance_q15 * S,
-  uint16_t fftLen,
-  uint8_t ifftFlag,
-  uint8_t bitReverseFlag);
-
-  /**
-   * @brief Processing function for the Q31 CFFT/CIFFT.
-   * @param[in]      *S    points to an instance of the Q31 CFFT/CIFFT structure.
-   * @param[in, out] *pSrc points to the complex data buffer. Processing occurs in-place.
-   * @return none.
-   */
-
-  void arm_cfft_radix4_q31(
-  const arm_cfft_radix4_instance_q31 * S,
-  q31_t * pSrc);
-
-  /**
-   * @brief  Initialization function for the Q31 CFFT/CIFFT.
-   * @param[in,out] *S             points to an instance of the Q31 CFFT/CIFFT structure.
-   * @param[in]     fftLen         length of the FFT.
-   * @param[in]     ifftFlag       flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.
-   * @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.
-   * @return        arm_status     function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLen is not a supported value.
-   */
-
-  arm_status arm_cfft_radix4_init_q31(
-  arm_cfft_radix4_instance_q31 * S,
-  uint16_t fftLen,
-  uint8_t ifftFlag,
-  uint8_t bitReverseFlag);
-
-  /**
-   * @brief Processing function for the Radix-2 Q31 CFFT/CIFFT.
-   * @param[in]      *S    points to an instance of the Radix-2 Q31 CFFT/CIFFT structure.
-   * @param[in, out] *pSrc points to the complex data buffer. Processing occurs in-place.
-   * @return none.
-   */
-
-  void arm_cfft_radix2_q31(
-  const arm_cfft_radix2_instance_q31 * S,
-  q31_t * pSrc);
-
-  /**
-   * @brief  Initialization function for the Radix-2 Q31 CFFT/CIFFT.
-   * @param[in,out] *S             points to an instance of the Radix-2 Q31 CFFT/CIFFT structure.
-   * @param[in]     fftLen         length of the FFT.
-   * @param[in]     ifftFlag       flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.
-   * @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.
-   * @return        arm_status     function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLen is not a supported value.
-   */
-
-  arm_status arm_cfft_radix2_init_q31(
-  arm_cfft_radix2_instance_q31 * S,
-  uint16_t fftLen,
-  uint8_t ifftFlag,
-  uint8_t bitReverseFlag);
-
-
-
-  /**
-   * @brief Processing function for the floating-point CFFT/CIFFT.
-   * @param[in]      *S    points to an instance of the floating-point CFFT/CIFFT structure.
-   * @param[in, out] *pSrc points to the complex data buffer. Processing occurs in-place.
-   * @return none.
-   */
-
-  void arm_cfft_radix2_f32(
-  const arm_cfft_radix2_instance_f32 * S,
-  float32_t * pSrc);
-
-  /**
-   * @brief  Initialization function for the floating-point CFFT/CIFFT.
-   * @param[in,out] *S             points to an instance of the floating-point CFFT/CIFFT structure.
-   * @param[in]     fftLen         length of the FFT.
-   * @param[in]     ifftFlag       flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.
-   * @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.
-   * @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLen is not a supported value.
-   */
-
-  arm_status arm_cfft_radix2_init_f32(
-  arm_cfft_radix2_instance_f32 * S,
-  uint16_t fftLen,
-  uint8_t ifftFlag,
-  uint8_t bitReverseFlag);
-
-  /**
-   * @brief Processing function for the floating-point CFFT/CIFFT.
-   * @param[in]      *S    points to an instance of the floating-point CFFT/CIFFT structure.
-   * @param[in, out] *pSrc points to the complex data buffer. Processing occurs in-place.
-   * @return none.
-   */
-
-  void arm_cfft_radix4_f32(
-  const arm_cfft_radix4_instance_f32 * S,
-  float32_t * pSrc);
-
-  /**
-   * @brief  Initialization function for the floating-point CFFT/CIFFT.
-   * @param[in,out] *S             points to an instance of the floating-point CFFT/CIFFT structure.
-   * @param[in]     fftLen         length of the FFT.
-   * @param[in]     ifftFlag       flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.
-   * @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.
-   * @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLen is not a supported value.
-   */
-
-  arm_status arm_cfft_radix4_init_f32(
-  arm_cfft_radix4_instance_f32 * S,
-  uint16_t fftLen,
-  uint8_t ifftFlag,
-  uint8_t bitReverseFlag);
-
-
-
-  /*----------------------------------------------------------------------
-   *		Internal functions prototypes FFT function
-   ----------------------------------------------------------------------*/
-
-  /**
-   * @brief  Core function for the floating-point CFFT butterfly process.
-   * @param[in, out] *pSrc            points to the in-place buffer of floating-point data type.
-   * @param[in]      fftLen           length of the FFT.
-   * @param[in]      *pCoef           points to the twiddle coefficient buffer.
-   * @param[in]      twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
-   * @return none.
-   */
-
-  void arm_radix4_butterfly_f32(
-  float32_t * pSrc,
-  uint16_t fftLen,
-  float32_t * pCoef,
-  uint16_t twidCoefModifier);
-
-  /**
-   * @brief  Core function for the floating-point CIFFT butterfly process.
-   * @param[in, out] *pSrc            points to the in-place buffer of floating-point data type.
-   * @param[in]      fftLen           length of the FFT.
-   * @param[in]      *pCoef           points to twiddle coefficient buffer.
-   * @param[in]      twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
-   * @param[in]      onebyfftLen      value of 1/fftLen.
-   * @return none.
-   */
-
-  void arm_radix4_butterfly_inverse_f32(
-  float32_t * pSrc,
-  uint16_t fftLen,
-  float32_t * pCoef,
-  uint16_t twidCoefModifier,
-  float32_t onebyfftLen);
-
-  /**
-   * @brief  In-place bit reversal function.
-   * @param[in, out] *pSrc        points to the in-place buffer of floating-point data type.
-   * @param[in]      fftSize      length of the FFT.
-   * @param[in]      bitRevFactor bit reversal modifier that supports different size FFTs with the same bit reversal table.
-   * @param[in]      *pBitRevTab  points to the bit reversal table.
-   * @return none.
-   */
-
-  void arm_bitreversal_f32(
-  float32_t * pSrc,
-  uint16_t fftSize,
-  uint16_t bitRevFactor,
-  uint16_t * pBitRevTab);
-
-  /**
-   * @brief  Core function for the Q31 CFFT butterfly process.
-   * @param[in, out] *pSrc            points to the in-place buffer of Q31 data type.
-   * @param[in]      fftLen           length of the FFT.
-   * @param[in]      *pCoef           points to Twiddle coefficient buffer.
-   * @param[in]      twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
-   * @return none.
-   */
-
-  void arm_radix4_butterfly_q31(
-  q31_t * pSrc,
-  uint32_t fftLen,
-  q31_t * pCoef,
-  uint32_t twidCoefModifier);
-
-  /**
-   * @brief  Core function for the f32 FFT butterfly process.
-   * @param[in, out] *pSrc            points to the in-place buffer of f32 data type.
-   * @param[in]      fftLen           length of the FFT.
-   * @param[in]      *pCoef        	  points to Twiddle coefficient buffer.
-   * @param[in]      twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
-   * @return none.
-   */
-
-  void arm_radix2_butterfly_f32(
-  float32_t * pSrc,
-  uint32_t fftLen,
-  float32_t * pCoef,
-  uint16_t twidCoefModifier);
-
-        /**  
-	 * @brief  Core function for the Radix-2 Q31 CFFT butterfly process. 
-	 * @param[in, out] *pSrc            points to the in-place buffer of Q31 data type. 
-	 * @param[in]      fftLen           length of the FFT. 
-	 * @param[in]      *pCoef         	points to Twiddle coefficient buffer.
-	 * @param[in]      twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. 
-	 * @return none. 
-	 */
-
-  void arm_radix2_butterfly_q31(
-  q31_t * pSrc,
-  uint32_t fftLen,
-  q31_t * pCoef,
-  uint16_t twidCoefModifier);
-
-        /**  
-	 * @brief  Core function for the Radix-2 Q15 CFFT butterfly process. 
-	 * @param[in, out] *pSrc            points to the in-place buffer of Q15 data type. 
-	 * @param[in]      fftLen           length of the FFT. 
-	 * @param[in]      *pCoef           points to Twiddle coefficient buffer.
-	 * @param[in]      twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. 
-	 * @return none. 
-	 */
-
-  void arm_radix2_butterfly_q15(
-  q15_t * pSrc,
-  uint32_t fftLen,
-  q15_t * pCoef,
-  uint16_t twidCoefModifier);
-
-        /**  
-	 * @brief  Core function for the Radix-2 Q15 CFFT Inverse butterfly process. 
-	 * @param[in, out] *pSrc            points to the in-place buffer of Q15 data type. 
-	 * @param[in]      fftLen           length of the FFT. 
-	 * @param[in]      *pCoef       	points to Twiddle coefficient buffer.
-	 * @param[in]      twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. 
-	 * @return none. 
-	 */
-
-  void arm_radix2_butterfly_inverse_q15(
-  q15_t * pSrc,
-  uint32_t fftLen,
-  q15_t * pCoef,
-  uint16_t twidCoefModifier);
-
-        /**  
-	 * @brief  Core function for the Radix-2 Q31 CFFT Inverse butterfly process. 
-	 * @param[in, out] *pSrc            points to the in-place buffer of Q31 data type. 
-	 * @param[in]      fftLen           length of the FFT. 
-	 * @param[in]      *pCoef         	points to Twiddle coefficient buffer.
-	 * @param[in]      twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. 
-	 * @return none. 
-	 */
-
-  void arm_radix2_butterfly_inverse_q31(
-  q31_t * pSrc,
-  uint32_t fftLen,
-  q31_t * pCoef,
-  uint16_t twidCoefModifier);
-
-  /**
-   * @brief  Core function for the f32 IFFT butterfly process.
-   * @param[in, out] *pSrc            points to the in-place buffer of f32 data type.
-   * @param[in]      fftLen           length of the FFT.
-   * @param[in]      *pCoef        	  points to Twiddle coefficient buffer.
-   * @param[in]      twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
-   * @param[in]		 onebyfftLen	  1/fftLenfth
-   * @return none.
-   */
-
-  void arm_radix2_butterfly_inverse_f32(
-  float32_t * pSrc,
-  uint32_t fftLen,
-  float32_t * pCoef,
-  uint16_t twidCoefModifier,
-  float32_t onebyfftLen);
-
-                                                                /**
-   * @brief  Core function for the Q31 CIFFT butterfly process.
-   * @param[in, out] *pSrc            points to the in-place buffer of Q31 data type.
-   * @param[in]      fftLen           length of the FFT.
-   * @param[in]      *pCoef           points to twiddle coefficient buffer.
-   * @param[in]      twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
-   * @return none.
-   */
-
-  void arm_radix4_butterfly_inverse_q31(
-  q31_t * pSrc,
-  uint32_t fftLen,
-  q31_t * pCoef,
-  uint32_t twidCoefModifier);
-
-  /**
-   * @brief  In-place bit reversal function.
-   * @param[in, out] *pSrc        points to the in-place buffer of Q31 data type.
-   * @param[in]      fftLen       length of the FFT.
-   * @param[in]      bitRevFactor bit reversal modifier that supports different size FFTs with the same bit reversal table
-   * @param[in]      *pBitRevTab  points to bit reversal table.
-   * @return none.
-   */
-
-  void arm_bitreversal_q31(
-  q31_t * pSrc,
-  uint32_t fftLen,
-  uint16_t bitRevFactor,
-  uint16_t * pBitRevTab);
-
-  /**
-   * @brief  Core function for the Q15 CFFT butterfly process.
-   * @param[in, out] *pSrc16          points to the in-place buffer of Q15 data type.
-   * @param[in]      fftLen           length of the FFT.
-   * @param[in]      *pCoef16         points to twiddle coefficient buffer.
-   * @param[in]      twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
-   * @return none.
-   */
-
-  void arm_radix4_butterfly_q15(
-  q15_t * pSrc16,
-  uint32_t fftLen,
-  q15_t * pCoef16,
-  uint32_t twidCoefModifier);
-
-
-  /**
-   * @brief  Core function for the Q15 CIFFT butterfly process.
-   * @param[in, out] *pSrc16          points to the in-place buffer of Q15 data type.
-   * @param[in]      fftLen           length of the FFT.
-   * @param[in]      *pCoef16         points to twiddle coefficient buffer.
-   * @param[in]      twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
-   * @return none.
-   */
-
-  void arm_radix4_butterfly_inverse_q15(
-  q15_t * pSrc16,
-  uint32_t fftLen,
-  q15_t * pCoef16,
-  uint32_t twidCoefModifier);
-
-  /**
-   * @brief  In-place bit reversal function.
-   * @param[in, out] *pSrc        points to the in-place buffer of Q15 data type.
-   * @param[in]      fftLen       length of the FFT.
-   * @param[in]      bitRevFactor bit reversal modifier that supports different size FFTs with the same bit reversal table
-   * @param[in]      *pBitRevTab  points to bit reversal table.
-   * @return none.
-   */
-
-  void arm_bitreversal_q15(
-  q15_t * pSrc,
-  uint32_t fftLen,
-  uint16_t bitRevFactor,
-  uint16_t * pBitRevTab);
-
-
-  /**
-   * @brief Instance structure for the Q15 RFFT/RIFFT function.
-   */
-
-  typedef struct
-  {
-    uint32_t fftLenReal;                      /**< length of the real FFT. */
-    uint32_t fftLenBy2;                       /**< length of the complex FFT. */
-    uint8_t ifftFlagR;                        /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */
-    uint8_t bitReverseFlagR;                      /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */
-    uint32_t twidCoefRModifier;               /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
-    q15_t *pTwiddleAReal;                     /**< points to the real twiddle factor table. */
-    q15_t *pTwiddleBReal;                     /**< points to the imag twiddle factor table. */
-    arm_cfft_radix4_instance_q15 *pCfft;          /**< points to the complex FFT instance. */
-  } arm_rfft_instance_q15;
-
-  /**
-   * @brief Instance structure for the Q31 RFFT/RIFFT function.
-   */
-
-  typedef struct
-  {
-    uint32_t fftLenReal;                        /**< length of the real FFT. */
-    uint32_t fftLenBy2;                         /**< length of the complex FFT. */
-    uint8_t ifftFlagR;                          /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */
-    uint8_t bitReverseFlagR;                        /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */
-    uint32_t twidCoefRModifier;                 /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
-    q31_t *pTwiddleAReal;                       /**< points to the real twiddle factor table. */
-    q31_t *pTwiddleBReal;                       /**< points to the imag twiddle factor table. */
-    arm_cfft_radix4_instance_q31 *pCfft;        /**< points to the complex FFT instance. */
-  } arm_rfft_instance_q31;
-
-  /**
-   * @brief Instance structure for the floating-point RFFT/RIFFT function.
-   */
-
-  typedef struct
-  {
-    uint32_t fftLenReal;                        /**< length of the real FFT. */
-    uint16_t fftLenBy2;                         /**< length of the complex FFT. */
-    uint8_t ifftFlagR;                          /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */
-    uint8_t bitReverseFlagR;                    /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */
-    uint32_t twidCoefRModifier;                     /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
-    float32_t *pTwiddleAReal;                   /**< points to the real twiddle factor table. */
-    float32_t *pTwiddleBReal;                   /**< points to the imag twiddle factor table. */
-    arm_cfft_radix4_instance_f32 *pCfft;        /**< points to the complex FFT instance. */
-  } arm_rfft_instance_f32;
-
-  /**
-   * @brief Processing function for the Q15 RFFT/RIFFT.
-   * @param[in]  *S    points to an instance of the Q15 RFFT/RIFFT structure.
-   * @param[in]  *pSrc points to the input buffer.
-   * @param[out] *pDst points to the output buffer.
-   * @return none.
-   */
-
-  void arm_rfft_q15(
-  const arm_rfft_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst);
-
-  /**
-   * @brief  Initialization function for the Q15 RFFT/RIFFT.
-   * @param[in, out] *S             points to an instance of the Q15 RFFT/RIFFT structure.
-   * @param[in]      *S_CFFT        points to an instance of the Q15 CFFT/CIFFT structure.
-   * @param[in]      fftLenReal     length of the FFT.
-   * @param[in]      ifftFlagR      flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform.
-   * @param[in]      bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.
-   * @return		The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLenReal is not a supported value.
-   */
-
-  arm_status arm_rfft_init_q15(
-  arm_rfft_instance_q15 * S,
-  arm_cfft_radix4_instance_q15 * S_CFFT,
-  uint32_t fftLenReal,
-  uint32_t ifftFlagR,
-  uint32_t bitReverseFlag);
-
-  /**
-   * @brief Processing function for the Q31 RFFT/RIFFT.
-   * @param[in]  *S    points to an instance of the Q31 RFFT/RIFFT structure.
-   * @param[in]  *pSrc points to the input buffer.
-   * @param[out] *pDst points to the output buffer.
-   * @return none.
-   */
-
-  void arm_rfft_q31(
-  const arm_rfft_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst);
-
-  /**
-   * @brief  Initialization function for the Q31 RFFT/RIFFT.
-   * @param[in, out] *S             points to an instance of the Q31 RFFT/RIFFT structure.
-   * @param[in, out] *S_CFFT        points to an instance of the Q31 CFFT/CIFFT structure.
-   * @param[in]      fftLenReal     length of the FFT.
-   * @param[in]      ifftFlagR      flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform.
-   * @param[in]      bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.
-   * @return		The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLenReal is not a supported value.
-   */
-
-  arm_status arm_rfft_init_q31(
-  arm_rfft_instance_q31 * S,
-  arm_cfft_radix4_instance_q31 * S_CFFT,
-  uint32_t fftLenReal,
-  uint32_t ifftFlagR,
-  uint32_t bitReverseFlag);
-
-  /**
-   * @brief  Initialization function for the floating-point RFFT/RIFFT.
-   * @param[in,out] *S             points to an instance of the floating-point RFFT/RIFFT structure.
-   * @param[in,out] *S_CFFT        points to an instance of the floating-point CFFT/CIFFT structure.
-   * @param[in]     fftLenReal     length of the FFT.
-   * @param[in]     ifftFlagR      flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform.
-   * @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.
-   * @return		The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLenReal is not a supported value.
-   */
-
-  arm_status arm_rfft_init_f32(
-  arm_rfft_instance_f32 * S,
-  arm_cfft_radix4_instance_f32 * S_CFFT,
-  uint32_t fftLenReal,
-  uint32_t ifftFlagR,
-  uint32_t bitReverseFlag);
-
-  /**
-   * @brief Processing function for the floating-point RFFT/RIFFT.
-   * @param[in]  *S    points to an instance of the floating-point RFFT/RIFFT structure.
-   * @param[in]  *pSrc points to the input buffer.
-   * @param[out] *pDst points to the output buffer.
-   * @return none.
-   */
-
-  void arm_rfft_f32(
-  const arm_rfft_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst);
-
-  /**
-   * @brief Instance structure for the floating-point DCT4/IDCT4 function.
-   */
-
-  typedef struct
-  {
-    uint16_t N;                         /**< length of the DCT4. */
-    uint16_t Nby2;                      /**< half of the length of the DCT4. */
-    float32_t normalize;                /**< normalizing factor. */
-    float32_t *pTwiddle;                /**< points to the twiddle factor table. */
-    float32_t *pCosFactor;              /**< points to the cosFactor table. */
-    arm_rfft_instance_f32 *pRfft;        /**< points to the real FFT instance. */
-    arm_cfft_radix4_instance_f32 *pCfft; /**< points to the complex FFT instance. */
-  } arm_dct4_instance_f32;
-
-  /**
-   * @brief  Initialization function for the floating-point DCT4/IDCT4.
-   * @param[in,out] *S         points to an instance of floating-point DCT4/IDCT4 structure.
-   * @param[in]     *S_RFFT    points to an instance of floating-point RFFT/RIFFT structure.
-   * @param[in]     *S_CFFT    points to an instance of floating-point CFFT/CIFFT structure.
-   * @param[in]     N          length of the DCT4.
-   * @param[in]     Nby2       half of the length of the DCT4.
-   * @param[in]     normalize  normalizing factor.
-   * @return		arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLenReal is not a supported transform length.
-   */
-
-  arm_status arm_dct4_init_f32(
-  arm_dct4_instance_f32 * S,
-  arm_rfft_instance_f32 * S_RFFT,
-  arm_cfft_radix4_instance_f32 * S_CFFT,
-  uint16_t N,
-  uint16_t Nby2,
-  float32_t normalize);
-
-  /**
-   * @brief Processing function for the floating-point DCT4/IDCT4.
-   * @param[in]       *S             points to an instance of the floating-point DCT4/IDCT4 structure.
-   * @param[in]       *pState        points to state buffer.
-   * @param[in,out]   *pInlineBuffer points to the in-place input and output buffer.
-   * @return none.
-   */
-
-  void arm_dct4_f32(
-  const arm_dct4_instance_f32 * S,
-  float32_t * pState,
-  float32_t * pInlineBuffer);
-
-  /**
-   * @brief Instance structure for the Q31 DCT4/IDCT4 function.
-   */
-
-  typedef struct
-  {
-    uint16_t N;                         /**< length of the DCT4. */
-    uint16_t Nby2;                      /**< half of the length of the DCT4. */
-    q31_t normalize;                    /**< normalizing factor. */
-    q31_t *pTwiddle;                    /**< points to the twiddle factor table. */
-    q31_t *pCosFactor;                  /**< points to the cosFactor table. */
-    arm_rfft_instance_q31 *pRfft;        /**< points to the real FFT instance. */
-    arm_cfft_radix4_instance_q31 *pCfft; /**< points to the complex FFT instance. */
-  } arm_dct4_instance_q31;
-
-  /**
-   * @brief  Initialization function for the Q31 DCT4/IDCT4.
-   * @param[in,out] *S         points to an instance of Q31 DCT4/IDCT4 structure.
-   * @param[in]     *S_RFFT    points to an instance of Q31 RFFT/RIFFT structure
-   * @param[in]     *S_CFFT    points to an instance of Q31 CFFT/CIFFT structure
-   * @param[in]     N          length of the DCT4.
-   * @param[in]     Nby2       half of the length of the DCT4.
-   * @param[in]     normalize  normalizing factor.
-   * @return		arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if N is not a supported transform length.
-   */
-
-  arm_status arm_dct4_init_q31(
-  arm_dct4_instance_q31 * S,
-  arm_rfft_instance_q31 * S_RFFT,
-  arm_cfft_radix4_instance_q31 * S_CFFT,
-  uint16_t N,
-  uint16_t Nby2,
-  q31_t normalize);
-
-  /**
-   * @brief Processing function for the Q31 DCT4/IDCT4.
-   * @param[in]       *S             points to an instance of the Q31 DCT4 structure.
-   * @param[in]       *pState        points to state buffer.
-   * @param[in,out]   *pInlineBuffer points to the in-place input and output buffer.
-   * @return none.
-   */
-
-  void arm_dct4_q31(
-  const arm_dct4_instance_q31 * S,
-  q31_t * pState,
-  q31_t * pInlineBuffer);
-
-  /**
-   * @brief Instance structure for the Q15 DCT4/IDCT4 function.
-   */
-
-  typedef struct
-  {
-    uint16_t N;                         /**< length of the DCT4. */
-    uint16_t Nby2;                      /**< half of the length of the DCT4. */
-    q15_t normalize;                    /**< normalizing factor. */
-    q15_t *pTwiddle;                    /**< points to the twiddle factor table. */
-    q15_t *pCosFactor;                  /**< points to the cosFactor table. */
-    arm_rfft_instance_q15 *pRfft;        /**< points to the real FFT instance. */
-    arm_cfft_radix4_instance_q15 *pCfft; /**< points to the complex FFT instance. */
-  } arm_dct4_instance_q15;
-
-  /**
-   * @brief  Initialization function for the Q15 DCT4/IDCT4.
-   * @param[in,out] *S         points to an instance of Q15 DCT4/IDCT4 structure.
-   * @param[in]     *S_RFFT    points to an instance of Q15 RFFT/RIFFT structure.
-   * @param[in]     *S_CFFT    points to an instance of Q15 CFFT/CIFFT structure.
-   * @param[in]     N          length of the DCT4.
-   * @param[in]     Nby2       half of the length of the DCT4.
-   * @param[in]     normalize  normalizing factor.
-   * @return		arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if N is not a supported transform length.
-   */
-
-  arm_status arm_dct4_init_q15(
-  arm_dct4_instance_q15 * S,
-  arm_rfft_instance_q15 * S_RFFT,
-  arm_cfft_radix4_instance_q15 * S_CFFT,
-  uint16_t N,
-  uint16_t Nby2,
-  q15_t normalize);
-
-  /**
-   * @brief Processing function for the Q15 DCT4/IDCT4.
-   * @param[in]       *S             points to an instance of the Q15 DCT4 structure.
-   * @param[in]       *pState        points to state buffer.
-   * @param[in,out]   *pInlineBuffer points to the in-place input and output buffer.
-   * @return none.
-   */
-
-  void arm_dct4_q15(
-  const arm_dct4_instance_q15 * S,
-  q15_t * pState,
-  q15_t * pInlineBuffer);
-
-  /**
-   * @brief Floating-point vector addition.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
-  void arm_add_f32(
-  float32_t * pSrcA,
-  float32_t * pSrcB,
-  float32_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Q7 vector addition.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
-  void arm_add_q7(
-  q7_t * pSrcA,
-  q7_t * pSrcB,
-  q7_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Q15 vector addition.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
-  void arm_add_q15(
-  q15_t * pSrcA,
-  q15_t * pSrcB,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Q31 vector addition.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
-  void arm_add_q31(
-  q31_t * pSrcA,
-  q31_t * pSrcB,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Floating-point vector subtraction.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
-  void arm_sub_f32(
-  float32_t * pSrcA,
-  float32_t * pSrcB,
-  float32_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Q7 vector subtraction.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
-  void arm_sub_q7(
-  q7_t * pSrcA,
-  q7_t * pSrcB,
-  q7_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Q15 vector subtraction.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
-  void arm_sub_q15(
-  q15_t * pSrcA,
-  q15_t * pSrcB,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Q31 vector subtraction.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
-  void arm_sub_q31(
-  q31_t * pSrcA,
-  q31_t * pSrcB,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Multiplies a floating-point vector by a scalar.
-   * @param[in]       *pSrc points to the input vector
-   * @param[in]       scale scale factor to be applied
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in the vector
-   * @return none.
-   */
-
-  void arm_scale_f32(
-  float32_t * pSrc,
-  float32_t scale,
-  float32_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Multiplies a Q7 vector by a scalar.
-   * @param[in]       *pSrc points to the input vector
-   * @param[in]       scaleFract fractional portion of the scale value
-   * @param[in]       shift number of bits to shift the result by
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in the vector
-   * @return none.
-   */
-
-  void arm_scale_q7(
-  q7_t * pSrc,
-  q7_t scaleFract,
-  int8_t shift,
-  q7_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Multiplies a Q15 vector by a scalar.
-   * @param[in]       *pSrc points to the input vector
-   * @param[in]       scaleFract fractional portion of the scale value
-   * @param[in]       shift number of bits to shift the result by
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in the vector
-   * @return none.
-   */
-
-  void arm_scale_q15(
-  q15_t * pSrc,
-  q15_t scaleFract,
-  int8_t shift,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Multiplies a Q31 vector by a scalar.
-   * @param[in]       *pSrc points to the input vector
-   * @param[in]       scaleFract fractional portion of the scale value
-   * @param[in]       shift number of bits to shift the result by
-   * @param[out]      *pDst points to the output vector
-   * @param[in]       blockSize number of samples in the vector
-   * @return none.
-   */
-
-  void arm_scale_q31(
-  q31_t * pSrc,
-  q31_t scaleFract,
-  int8_t shift,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Q7 vector absolute value.
-   * @param[in]       *pSrc points to the input buffer
-   * @param[out]      *pDst points to the output buffer
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
-  void arm_abs_q7(
-  q7_t * pSrc,
-  q7_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Floating-point vector absolute value.
-   * @param[in]       *pSrc points to the input buffer
-   * @param[out]      *pDst points to the output buffer
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
-  void arm_abs_f32(
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Q15 vector absolute value.
-   * @param[in]       *pSrc points to the input buffer
-   * @param[out]      *pDst points to the output buffer
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
-  void arm_abs_q15(
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Q31 vector absolute value.
-   * @param[in]       *pSrc points to the input buffer
-   * @param[out]      *pDst points to the output buffer
-   * @param[in]       blockSize number of samples in each vector
-   * @return none.
-   */
-
-  void arm_abs_q31(
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Dot product of floating-point vectors.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[in]       blockSize number of samples in each vector
-   * @param[out]      *result output result returned here
-   * @return none.
-   */
-
-  void arm_dot_prod_f32(
-  float32_t * pSrcA,
-  float32_t * pSrcB,
-  uint32_t blockSize,
-  float32_t * result);
-
-  /**
-   * @brief Dot product of Q7 vectors.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[in]       blockSize number of samples in each vector
-   * @param[out]      *result output result returned here
-   * @return none.
-   */
-
-  void arm_dot_prod_q7(
-  q7_t * pSrcA,
-  q7_t * pSrcB,
-  uint32_t blockSize,
-  q31_t * result);
-
-  /**
-   * @brief Dot product of Q15 vectors.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[in]       blockSize number of samples in each vector
-   * @param[out]      *result output result returned here
-   * @return none.
-   */
-
-  void arm_dot_prod_q15(
-  q15_t * pSrcA,
-  q15_t * pSrcB,
-  uint32_t blockSize,
-  q63_t * result);
-
-  /**
-   * @brief Dot product of Q31 vectors.
-   * @param[in]       *pSrcA points to the first input vector
-   * @param[in]       *pSrcB points to the second input vector
-   * @param[in]       blockSize number of samples in each vector
-   * @param[out]      *result output result returned here
-   * @return none.
-   */
-
-  void arm_dot_prod_q31(
-  q31_t * pSrcA,
-  q31_t * pSrcB,
-  uint32_t blockSize,
-  q63_t * result);
-
-  /**
-   * @brief  Shifts the elements of a Q7 vector a specified number of bits.
-   * @param[in]  *pSrc points to the input vector
-   * @param[in]  shiftBits number of bits to shift.  A positive value shifts left; a negative value shifts right.
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  blockSize number of samples in the vector
-   * @return none.
-   */
-
-  void arm_shift_q7(
-  q7_t * pSrc,
-  int8_t shiftBits,
-  q7_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Shifts the elements of a Q15 vector a specified number of bits.
-   * @param[in]  *pSrc points to the input vector
-   * @param[in]  shiftBits number of bits to shift.  A positive value shifts left; a negative value shifts right.
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  blockSize number of samples in the vector
-   * @return none.
-   */
-
-  void arm_shift_q15(
-  q15_t * pSrc,
-  int8_t shiftBits,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Shifts the elements of a Q31 vector a specified number of bits.
-   * @param[in]  *pSrc points to the input vector
-   * @param[in]  shiftBits number of bits to shift.  A positive value shifts left; a negative value shifts right.
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  blockSize number of samples in the vector
-   * @return none.
-   */
-
-  void arm_shift_q31(
-  q31_t * pSrc,
-  int8_t shiftBits,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Adds a constant offset to a floating-point vector.
-   * @param[in]  *pSrc points to the input vector
-   * @param[in]  offset is the offset to be added
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  blockSize number of samples in the vector
-   * @return none.
-   */
-
-  void arm_offset_f32(
-  float32_t * pSrc,
-  float32_t offset,
-  float32_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Adds a constant offset to a Q7 vector.
-   * @param[in]  *pSrc points to the input vector
-   * @param[in]  offset is the offset to be added
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  blockSize number of samples in the vector
-   * @return none.
-   */
-
-  void arm_offset_q7(
-  q7_t * pSrc,
-  q7_t offset,
-  q7_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Adds a constant offset to a Q15 vector.
-   * @param[in]  *pSrc points to the input vector
-   * @param[in]  offset is the offset to be added
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  blockSize number of samples in the vector
-   * @return none.
-   */
-
-  void arm_offset_q15(
-  q15_t * pSrc,
-  q15_t offset,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Adds a constant offset to a Q31 vector.
-   * @param[in]  *pSrc points to the input vector
-   * @param[in]  offset is the offset to be added
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  blockSize number of samples in the vector
-   * @return none.
-   */
-
-  void arm_offset_q31(
-  q31_t * pSrc,
-  q31_t offset,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Negates the elements of a floating-point vector.
-   * @param[in]  *pSrc points to the input vector
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  blockSize number of samples in the vector
-   * @return none.
-   */
-
-  void arm_negate_f32(
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Negates the elements of a Q7 vector.
-   * @param[in]  *pSrc points to the input vector
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  blockSize number of samples in the vector
-   * @return none.
-   */
-
-  void arm_negate_q7(
-  q7_t * pSrc,
-  q7_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Negates the elements of a Q15 vector.
-   * @param[in]  *pSrc points to the input vector
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  blockSize number of samples in the vector
-   * @return none.
-   */
-
-  void arm_negate_q15(
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Negates the elements of a Q31 vector.
-   * @param[in]  *pSrc points to the input vector
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  blockSize number of samples in the vector
-   * @return none.
-   */
-
-  void arm_negate_q31(
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize);
-  /**
-   * @brief  Copies the elements of a floating-point vector. 
-   * @param[in]  *pSrc input pointer
-   * @param[out]  *pDst output pointer
-   * @param[in]  blockSize number of samples to process
-   * @return none.
-   */
-  void arm_copy_f32(
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Copies the elements of a Q7 vector. 
-   * @param[in]  *pSrc input pointer
-   * @param[out]  *pDst output pointer
-   * @param[in]  blockSize number of samples to process
-   * @return none.
-   */
-  void arm_copy_q7(
-  q7_t * pSrc,
-  q7_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Copies the elements of a Q15 vector. 
-   * @param[in]  *pSrc input pointer
-   * @param[out]  *pDst output pointer
-   * @param[in]  blockSize number of samples to process
-   * @return none.
-   */
-  void arm_copy_q15(
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Copies the elements of a Q31 vector. 
-   * @param[in]  *pSrc input pointer
-   * @param[out]  *pDst output pointer
-   * @param[in]  blockSize number of samples to process
-   * @return none.
-   */
-  void arm_copy_q31(
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize);
-  /**
-   * @brief  Fills a constant value into a floating-point vector. 
-   * @param[in]  value input value to be filled
-   * @param[out]  *pDst output pointer
-   * @param[in]  blockSize number of samples to process
-   * @return none.
-   */
-  void arm_fill_f32(
-  float32_t value,
-  float32_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Fills a constant value into a Q7 vector. 
-   * @param[in]  value input value to be filled
-   * @param[out]  *pDst output pointer
-   * @param[in]  blockSize number of samples to process
-   * @return none.
-   */
-  void arm_fill_q7(
-  q7_t value,
-  q7_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Fills a constant value into a Q15 vector. 
-   * @param[in]  value input value to be filled
-   * @param[out]  *pDst output pointer
-   * @param[in]  blockSize number of samples to process
-   * @return none.
-   */
-  void arm_fill_q15(
-  q15_t value,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Fills a constant value into a Q31 vector. 
-   * @param[in]  value input value to be filled
-   * @param[out]  *pDst output pointer
-   * @param[in]  blockSize number of samples to process
-   * @return none.
-   */
-  void arm_fill_q31(
-  q31_t value,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-/**  
- * @brief Convolution of floating-point sequences.  
- * @param[in] *pSrcA points to the first input sequence.  
- * @param[in] srcALen length of the first input sequence.  
- * @param[in] *pSrcB points to the second input sequence.  
- * @param[in] srcBLen length of the second input sequence.  
- * @param[out] *pDst points to the location where the output result is written.  Length srcALen+srcBLen-1.  
- * @return none.  
- */
-
-  void arm_conv_f32(
-  float32_t * pSrcA,
-  uint32_t srcALen,
-  float32_t * pSrcB,
-  uint32_t srcBLen,
-  float32_t * pDst);
-
-  
-  /**   
-   * @brief Convolution of Q15 sequences.   
-   * @param[in] *pSrcA points to the first input sequence.   
-   * @param[in] srcALen length of the first input sequence.   
-   * @param[in] *pSrcB points to the second input sequence.   
-   * @param[in] srcBLen length of the second input sequence.   
-   * @param[out] *pDst points to the block of output data  Length srcALen+srcBLen-1.   
-   * @param[in]  *pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.   
-   * @param[in]  *pScratch2 points to scratch buffer of size min(srcALen, srcBLen).   
-   * @return none.   
-   */
-
-
-  void arm_conv_opt_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst,
-  q15_t * pScratch1,
-  q15_t * pScratch2);
-
-
-/**  
- * @brief Convolution of Q15 sequences.  
- * @param[in] *pSrcA points to the first input sequence.  
- * @param[in] srcALen length of the first input sequence.  
- * @param[in] *pSrcB points to the second input sequence.  
- * @param[in] srcBLen length of the second input sequence.  
- * @param[out] *pDst points to the location where the output result is written.  Length srcALen+srcBLen-1.  
- * @return none.  
- */
-
-  void arm_conv_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst);
-
-  /**
-   * @brief Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length srcALen+srcBLen-1.
-   * @return none.
-   */
-
-  void arm_conv_fast_q15(
-			  q15_t * pSrcA,
-			 uint32_t srcALen,
-			  q15_t * pSrcB,
-			 uint32_t srcBLen,
-			 q15_t * pDst);
-
-  /**
-   * @brief Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length srcALen+srcBLen-1.
-   * @param[in]  *pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.   
-   * @param[in]  *pScratch2 points to scratch buffer of size min(srcALen, srcBLen).   
-   * @return none.   
-   */
-
-  void arm_conv_fast_opt_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst,
-  q15_t * pScratch1,
-  q15_t * pScratch2);
-
-
-
-  /**
-   * @brief Convolution of Q31 sequences.
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length srcALen+srcBLen-1.
-   * @return none.
-   */
-
-  void arm_conv_q31(
-  q31_t * pSrcA,
-  uint32_t srcALen,
-  q31_t * pSrcB,
-  uint32_t srcBLen,
-  q31_t * pDst);
-
-  /**
-   * @brief Convolution of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length srcALen+srcBLen-1.
-   * @return none.
-   */
-
-  void arm_conv_fast_q31(
-  q31_t * pSrcA,
-  uint32_t srcALen,
-  q31_t * pSrcB,
-  uint32_t srcBLen,
-  q31_t * pDst);
-
-
-    /**   
-   * @brief Convolution of Q7 sequences.   
-   * @param[in] *pSrcA points to the first input sequence.   
-   * @param[in] srcALen length of the first input sequence.   
-   * @param[in] *pSrcB points to the second input sequence.   
-   * @param[in] srcBLen length of the second input sequence.   
-   * @param[out] *pDst points to the block of output data  Length srcALen+srcBLen-1.   
-   * @param[in]  *pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.   
-   * @param[in]  *pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).   
-   * @return none.   
-   */
-
-  void arm_conv_opt_q7(
-  q7_t * pSrcA,
-  uint32_t srcALen,
-  q7_t * pSrcB,
-  uint32_t srcBLen,
-  q7_t * pDst,
-  q15_t * pScratch1,
-  q15_t * pScratch2);
-
-
-
-  /**
-   * @brief Convolution of Q7 sequences.
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length srcALen+srcBLen-1.
-   * @return none.
-   */
-
-  void arm_conv_q7(
-  q7_t * pSrcA,
-  uint32_t srcALen,
-  q7_t * pSrcB,
-  uint32_t srcBLen,
-  q7_t * pDst);
-
-
-  /**
-   * @brief Partial convolution of floating-point sequences.
-   * @param[in]       *pSrcA points to the first input sequence.
-   * @param[in]       srcALen length of the first input sequence.
-   * @param[in]       *pSrcB points to the second input sequence.
-   * @param[in]       srcBLen length of the second input sequence.
-   * @param[out]      *pDst points to the block of output data
-   * @param[in]       firstIndex is the first output sample to start with.
-   * @param[in]       numPoints is the number of output points to be computed.
-   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
-   */
-
-  arm_status arm_conv_partial_f32(
-  float32_t * pSrcA,
-  uint32_t srcALen,
-  float32_t * pSrcB,
-  uint32_t srcBLen,
-  float32_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints);
-
-    /**   
-   * @brief Partial convolution of Q15 sequences.   
-   * @param[in]       *pSrcA points to the first input sequence.   
-   * @param[in]       srcALen length of the first input sequence.   
-   * @param[in]       *pSrcB points to the second input sequence.   
-   * @param[in]       srcBLen length of the second input sequence.   
-   * @param[out]      *pDst points to the block of output data   
-   * @param[in]       firstIndex is the first output sample to start with.   
-   * @param[in]       numPoints is the number of output points to be computed.   
-   * @param[in]       * pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.   
-   * @param[in]       * pScratch2 points to scratch buffer of size min(srcALen, srcBLen).   
-   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].   
-   */
-
-  arm_status arm_conv_partial_opt_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints,
-  q15_t * pScratch1,
-  q15_t * pScratch2);
-
-
-/**
-   * @brief Partial convolution of Q15 sequences.
-   * @param[in]       *pSrcA points to the first input sequence.
-   * @param[in]       srcALen length of the first input sequence.
-   * @param[in]       *pSrcB points to the second input sequence.
-   * @param[in]       srcBLen length of the second input sequence.
-   * @param[out]      *pDst points to the block of output data
-   * @param[in]       firstIndex is the first output sample to start with.
-   * @param[in]       numPoints is the number of output points to be computed.
-   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
-   */
-
-  arm_status arm_conv_partial_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints);
-
-  /**
-   * @brief Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4
-   * @param[in]       *pSrcA points to the first input sequence.
-   * @param[in]       srcALen length of the first input sequence.
-   * @param[in]       *pSrcB points to the second input sequence.
-   * @param[in]       srcBLen length of the second input sequence.
-   * @param[out]      *pDst points to the block of output data
-   * @param[in]       firstIndex is the first output sample to start with.
-   * @param[in]       numPoints is the number of output points to be computed.
-   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
-   */
-
-  arm_status arm_conv_partial_fast_q15(
-				        q15_t * pSrcA,
-				       uint32_t srcALen,
-				        q15_t * pSrcB,
-				       uint32_t srcBLen,
-				       q15_t * pDst,
-				       uint32_t firstIndex,
-				       uint32_t numPoints);
-
-
-  /**
-   * @brief Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4
-   * @param[in]       *pSrcA points to the first input sequence.
-   * @param[in]       srcALen length of the first input sequence.
-   * @param[in]       *pSrcB points to the second input sequence.
-   * @param[in]       srcBLen length of the second input sequence.
-   * @param[out]      *pDst points to the block of output data
-   * @param[in]       firstIndex is the first output sample to start with.
-   * @param[in]       numPoints is the number of output points to be computed.
-   * @param[in]       * pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.   
-   * @param[in]       * pScratch2 points to scratch buffer of size min(srcALen, srcBLen).   
-   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].   
-   */
-
-  arm_status arm_conv_partial_fast_opt_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints,
-  q15_t * pScratch1,
-  q15_t * pScratch2);
-
-
-  /**
-   * @brief Partial convolution of Q31 sequences.
-   * @param[in]       *pSrcA points to the first input sequence.
-   * @param[in]       srcALen length of the first input sequence.
-   * @param[in]       *pSrcB points to the second input sequence.
-   * @param[in]       srcBLen length of the second input sequence.
-   * @param[out]      *pDst points to the block of output data
-   * @param[in]       firstIndex is the first output sample to start with.
-   * @param[in]       numPoints is the number of output points to be computed.
-   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
-   */
-
-  arm_status arm_conv_partial_q31(
-  q31_t * pSrcA,
-  uint32_t srcALen,
-  q31_t * pSrcB,
-  uint32_t srcBLen,
-  q31_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints);
-
-
-  /**
-   * @brief Partial convolution of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4
-   * @param[in]       *pSrcA points to the first input sequence.
-   * @param[in]       srcALen length of the first input sequence.
-   * @param[in]       *pSrcB points to the second input sequence.
-   * @param[in]       srcBLen length of the second input sequence.
-   * @param[out]      *pDst points to the block of output data
-   * @param[in]       firstIndex is the first output sample to start with.
-   * @param[in]       numPoints is the number of output points to be computed.
-   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
-   */
-
-  arm_status arm_conv_partial_fast_q31(
-  q31_t * pSrcA,
-  uint32_t srcALen,
-  q31_t * pSrcB,
-  uint32_t srcBLen,
-  q31_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints);
-
-
-  /**   
-   * @brief Partial convolution of Q7 sequences   
-   * @param[in]       *pSrcA points to the first input sequence.   
-   * @param[in]       srcALen length of the first input sequence.   
-   * @param[in]       *pSrcB points to the second input sequence.   
-   * @param[in]       srcBLen length of the second input sequence.   
-   * @param[out]      *pDst points to the block of output data   
-   * @param[in]       firstIndex is the first output sample to start with.   
-   * @param[in]       numPoints is the number of output points to be computed.   
-   * @param[in]  *pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.   
-   * @param[in]  *pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).   
-   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].   
-   */
-
-  arm_status arm_conv_partial_opt_q7(
-  q7_t * pSrcA,
-  uint32_t srcALen,
-  q7_t * pSrcB,
-  uint32_t srcBLen,
-  q7_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints,
-  q15_t * pScratch1,
-  q15_t * pScratch2);
-
-
-/**
-   * @brief Partial convolution of Q7 sequences.
-   * @param[in]       *pSrcA points to the first input sequence.
-   * @param[in]       srcALen length of the first input sequence.
-   * @param[in]       *pSrcB points to the second input sequence.
-   * @param[in]       srcBLen length of the second input sequence.
-   * @param[out]      *pDst points to the block of output data
-   * @param[in]       firstIndex is the first output sample to start with.
-   * @param[in]       numPoints is the number of output points to be computed.
-   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
-   */
-
-  arm_status arm_conv_partial_q7(
-  q7_t * pSrcA,
-  uint32_t srcALen,
-  q7_t * pSrcB,
-  uint32_t srcBLen,
-  q7_t * pDst,
-  uint32_t firstIndex,
-  uint32_t numPoints);
-
-
-
-  /**
-   * @brief Instance structure for the Q15 FIR decimator.
-   */
-
-  typedef struct
-  {
-    uint8_t M;                      /**< decimation factor. */
-    uint16_t numTaps;               /**< number of coefficients in the filter. */
-    q15_t *pCoeffs;                  /**< points to the coefficient array. The array is of length numTaps.*/
-    q15_t *pState;                   /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
-  } arm_fir_decimate_instance_q15;
-
-  /**
-   * @brief Instance structure for the Q31 FIR decimator.
-   */
-
-  typedef struct
-  {
-    uint8_t M;                  /**< decimation factor. */
-    uint16_t numTaps;           /**< number of coefficients in the filter. */
-    q31_t *pCoeffs;              /**< points to the coefficient array. The array is of length numTaps.*/
-    q31_t *pState;               /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
-
-  } arm_fir_decimate_instance_q31;
-
-  /**
-   * @brief Instance structure for the floating-point FIR decimator.
-   */
-
-  typedef struct
-  {
-    uint8_t M;                          /**< decimation factor. */
-    uint16_t numTaps;                   /**< number of coefficients in the filter. */
-    float32_t *pCoeffs;                  /**< points to the coefficient array. The array is of length numTaps.*/
-    float32_t *pState;                   /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
-
-  } arm_fir_decimate_instance_f32;
-
-
-
-  /**
-   * @brief Processing function for the floating-point FIR decimator.
-   * @param[in] *S points to an instance of the floating-point FIR decimator structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data
-   * @param[in] blockSize number of input samples to process per call.
-   * @return none
-   */
-
-  void arm_fir_decimate_f32(
-  const arm_fir_decimate_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief  Initialization function for the floating-point FIR decimator.
-   * @param[in,out] *S points to an instance of the floating-point FIR decimator structure.
-   * @param[in] numTaps  number of coefficients in the filter.
-   * @param[in] M  decimation factor.
-   * @param[in] *pCoeffs points to the filter coefficients.
-   * @param[in] *pState points to the state buffer.
-   * @param[in] blockSize number of input samples to process per call.
-   * @return    The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
-   * blockSize is not a multiple of M.
-   */
-
-  arm_status arm_fir_decimate_init_f32(
-  arm_fir_decimate_instance_f32 * S,
-  uint16_t numTaps,
-  uint8_t M,
-  float32_t * pCoeffs,
-  float32_t * pState,
-  uint32_t blockSize);
-
-  /**
-   * @brief Processing function for the Q15 FIR decimator.
-   * @param[in] *S points to an instance of the Q15 FIR decimator structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data
-   * @param[in] blockSize number of input samples to process per call.
-   * @return none
-   */
-
-  void arm_fir_decimate_q15(
-  const arm_fir_decimate_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Processing function for the Q15 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4.
-   * @param[in] *S points to an instance of the Q15 FIR decimator structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data
-   * @param[in] blockSize number of input samples to process per call.
-   * @return none
-   */
-
-  void arm_fir_decimate_fast_q15(
-  const arm_fir_decimate_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-
-
-  /**
-   * @brief  Initialization function for the Q15 FIR decimator.
-   * @param[in,out] *S points to an instance of the Q15 FIR decimator structure.
-   * @param[in] numTaps  number of coefficients in the filter.
-   * @param[in] M  decimation factor.
-   * @param[in] *pCoeffs points to the filter coefficients.
-   * @param[in] *pState points to the state buffer.
-   * @param[in] blockSize number of input samples to process per call.
-   * @return    The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
-   * blockSize is not a multiple of M.
-   */
-
-  arm_status arm_fir_decimate_init_q15(
-  arm_fir_decimate_instance_q15 * S,
-  uint16_t numTaps,
-  uint8_t M,
-  q15_t * pCoeffs,
-  q15_t * pState,
-  uint32_t blockSize);
-
-  /**
-   * @brief Processing function for the Q31 FIR decimator.
-   * @param[in] *S points to an instance of the Q31 FIR decimator structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data
-   * @param[in] blockSize number of input samples to process per call.
-   * @return none
-   */
-
-  void arm_fir_decimate_q31(
-  const arm_fir_decimate_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Processing function for the Q31 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4.
-   * @param[in] *S points to an instance of the Q31 FIR decimator structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data
-   * @param[in] blockSize number of input samples to process per call.
-   * @return none
-   */
-
-  void arm_fir_decimate_fast_q31(
-  arm_fir_decimate_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief  Initialization function for the Q31 FIR decimator.
-   * @param[in,out] *S points to an instance of the Q31 FIR decimator structure.
-   * @param[in] numTaps  number of coefficients in the filter.
-   * @param[in] M  decimation factor.
-   * @param[in] *pCoeffs points to the filter coefficients.
-   * @param[in] *pState points to the state buffer.
-   * @param[in] blockSize number of input samples to process per call.
-   * @return    The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
-   * blockSize is not a multiple of M.
-   */
-
-  arm_status arm_fir_decimate_init_q31(
-  arm_fir_decimate_instance_q31 * S,
-  uint16_t numTaps,
-  uint8_t M,
-  q31_t * pCoeffs,
-  q31_t * pState,
-  uint32_t blockSize);
-
-
-
-  /**
-   * @brief Instance structure for the Q15 FIR interpolator.
-   */
-
-  typedef struct
-  {
-    uint8_t L;                      /**< upsample factor. */
-    uint16_t phaseLength;           /**< length of each polyphase filter component. */
-    q15_t *pCoeffs;                 /**< points to the coefficient array. The array is of length L*phaseLength. */
-    q15_t *pState;                  /**< points to the state variable array. The array is of length blockSize+phaseLength-1. */
-  } arm_fir_interpolate_instance_q15;
-
-  /**
-   * @brief Instance structure for the Q31 FIR interpolator.
-   */
-
-  typedef struct
-  {
-    uint8_t L;                      /**< upsample factor. */
-    uint16_t phaseLength;           /**< length of each polyphase filter component. */
-    q31_t *pCoeffs;                  /**< points to the coefficient array. The array is of length L*phaseLength. */
-    q31_t *pState;                   /**< points to the state variable array. The array is of length blockSize+phaseLength-1. */
-  } arm_fir_interpolate_instance_q31;
-
-  /**
-   * @brief Instance structure for the floating-point FIR interpolator.
-   */
-
-  typedef struct
-  {
-    uint8_t L;                     /**< upsample factor. */
-    uint16_t phaseLength;          /**< length of each polyphase filter component. */
-    float32_t *pCoeffs;             /**< points to the coefficient array. The array is of length L*phaseLength. */
-    float32_t *pState;              /**< points to the state variable array. The array is of length phaseLength+numTaps-1. */
-  } arm_fir_interpolate_instance_f32;
-
-
-  /**
-   * @brief Processing function for the Q15 FIR interpolator.
-   * @param[in] *S        points to an instance of the Q15 FIR interpolator structure.
-   * @param[in] *pSrc     points to the block of input data.
-   * @param[out] *pDst    points to the block of output data.
-   * @param[in] blockSize number of input samples to process per call.
-   * @return none.
-   */
-
-  void arm_fir_interpolate_q15(
-  const arm_fir_interpolate_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief  Initialization function for the Q15 FIR interpolator.
-   * @param[in,out] *S        points to an instance of the Q15 FIR interpolator structure.
-   * @param[in]     L         upsample factor.
-   * @param[in]     numTaps   number of filter coefficients in the filter.
-   * @param[in]     *pCoeffs  points to the filter coefficient buffer.
-   * @param[in]     *pState   points to the state buffer.
-   * @param[in]     blockSize number of input samples to process per call.
-   * @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
-   * the filter length numTaps is not a multiple of the interpolation factor L.
-   */
-
-  arm_status arm_fir_interpolate_init_q15(
-  arm_fir_interpolate_instance_q15 * S,
-  uint8_t L,
-  uint16_t numTaps,
-  q15_t * pCoeffs,
-  q15_t * pState,
-  uint32_t blockSize);
-
-  /**
-   * @brief Processing function for the Q31 FIR interpolator.
-   * @param[in] *S        points to an instance of the Q15 FIR interpolator structure.
-   * @param[in] *pSrc     points to the block of input data.
-   * @param[out] *pDst    points to the block of output data.
-   * @param[in] blockSize number of input samples to process per call.
-   * @return none.
-   */
-
-  void arm_fir_interpolate_q31(
-  const arm_fir_interpolate_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Initialization function for the Q31 FIR interpolator.
-   * @param[in,out] *S        points to an instance of the Q31 FIR interpolator structure.
-   * @param[in]     L         upsample factor.
-   * @param[in]     numTaps   number of filter coefficients in the filter.
-   * @param[in]     *pCoeffs  points to the filter coefficient buffer.
-   * @param[in]     *pState   points to the state buffer.
-   * @param[in]     blockSize number of input samples to process per call.
-   * @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
-   * the filter length numTaps is not a multiple of the interpolation factor L.
-   */
-
-  arm_status arm_fir_interpolate_init_q31(
-  arm_fir_interpolate_instance_q31 * S,
-  uint8_t L,
-  uint16_t numTaps,
-  q31_t * pCoeffs,
-  q31_t * pState,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief Processing function for the floating-point FIR interpolator.
-   * @param[in] *S        points to an instance of the floating-point FIR interpolator structure.
-   * @param[in] *pSrc     points to the block of input data.
-   * @param[out] *pDst    points to the block of output data.
-   * @param[in] blockSize number of input samples to process per call.
-   * @return none.
-   */
-
-  void arm_fir_interpolate_f32(
-  const arm_fir_interpolate_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Initialization function for the floating-point FIR interpolator.
-   * @param[in,out] *S        points to an instance of the floating-point FIR interpolator structure.
-   * @param[in]     L         upsample factor.
-   * @param[in]     numTaps   number of filter coefficients in the filter.
-   * @param[in]     *pCoeffs  points to the filter coefficient buffer.
-   * @param[in]     *pState   points to the state buffer.
-   * @param[in]     blockSize number of input samples to process per call.
-   * @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
-   * the filter length numTaps is not a multiple of the interpolation factor L.
-   */
-
-  arm_status arm_fir_interpolate_init_f32(
-  arm_fir_interpolate_instance_f32 * S,
-  uint8_t L,
-  uint16_t numTaps,
-  float32_t * pCoeffs,
-  float32_t * pState,
-  uint32_t blockSize);
-
-  /**
-   * @brief Instance structure for the high precision Q31 Biquad cascade filter.
-   */
-
-  typedef struct
-  {
-    uint8_t numStages;       /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */
-    q63_t *pState;           /**< points to the array of state coefficients.  The array is of length 4*numStages. */
-    q31_t *pCoeffs;          /**< points to the array of coefficients.  The array is of length 5*numStages. */
-    uint8_t postShift;       /**< additional shift, in bits, applied to each output sample. */
-
-  } arm_biquad_cas_df1_32x64_ins_q31;
-
-
-  /**
-   * @param[in]  *S        points to an instance of the high precision Q31 Biquad cascade filter structure.
-   * @param[in]  *pSrc     points to the block of input data.
-   * @param[out] *pDst     points to the block of output data
-   * @param[in]  blockSize number of samples to process.
-   * @return none.
-   */
-
-  void arm_biquad_cas_df1_32x64_q31(
-  const arm_biquad_cas_df1_32x64_ins_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-
-  /**
-   * @param[in,out] *S           points to an instance of the high precision Q31 Biquad cascade filter structure.
-   * @param[in]     numStages    number of 2nd order stages in the filter.
-   * @param[in]     *pCoeffs     points to the filter coefficients.
-   * @param[in]     *pState      points to the state buffer.
-   * @param[in]     postShift    shift to be applied to the output. Varies according to the coefficients format
-   * @return        none
-   */
-
-  void arm_biquad_cas_df1_32x64_init_q31(
-  arm_biquad_cas_df1_32x64_ins_q31 * S,
-  uint8_t numStages,
-  q31_t * pCoeffs,
-  q63_t * pState,
-  uint8_t postShift);
-
-
-
-  /**
-   * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter.
-   */
-
-  typedef struct
-  {
-    uint8_t numStages;         /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */
-    float32_t *pState;         /**< points to the array of state coefficients.  The array is of length 2*numStages. */
-    float32_t *pCoeffs;        /**< points to the array of coefficients.  The array is of length 5*numStages. */
-  } arm_biquad_cascade_df2T_instance_f32;
-
-
-  /**
-   * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter.
-   * @param[in]  *S        points to an instance of the filter data structure.
-   * @param[in]  *pSrc     points to the block of input data.
-   * @param[out] *pDst     points to the block of output data
-   * @param[in]  blockSize number of samples to process.
-   * @return none.
-   */
-
-  void arm_biquad_cascade_df2T_f32(
-  const arm_biquad_cascade_df2T_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief  Initialization function for the floating-point transposed direct form II Biquad cascade filter.
-   * @param[in,out] *S           points to an instance of the filter data structure.
-   * @param[in]     numStages    number of 2nd order stages in the filter.
-   * @param[in]     *pCoeffs     points to the filter coefficients.
-   * @param[in]     *pState      points to the state buffer.
-   * @return        none
-   */
-
-  void arm_biquad_cascade_df2T_init_f32(
-  arm_biquad_cascade_df2T_instance_f32 * S,
-  uint8_t numStages,
-  float32_t * pCoeffs,
-  float32_t * pState);
-
-
-
-  /**
-   * @brief Instance structure for the Q15 FIR lattice filter.
-   */
-
-  typedef struct
-  {
-    uint16_t numStages;                          /**< number of filter stages. */
-    q15_t *pState;                               /**< points to the state variable array. The array is of length numStages. */
-    q15_t *pCoeffs;                              /**< points to the coefficient array. The array is of length numStages. */
-  } arm_fir_lattice_instance_q15;
-
-  /**
-   * @brief Instance structure for the Q31 FIR lattice filter.
-   */
-
-  typedef struct
-  {
-    uint16_t numStages;                          /**< number of filter stages. */
-    q31_t *pState;                               /**< points to the state variable array. The array is of length numStages. */
-    q31_t *pCoeffs;                              /**< points to the coefficient array. The array is of length numStages. */
-  } arm_fir_lattice_instance_q31;
-
-  /**
-   * @brief Instance structure for the floating-point FIR lattice filter.
-   */
-
-  typedef struct
-  {
-    uint16_t numStages;                  /**< number of filter stages. */
-    float32_t *pState;                   /**< points to the state variable array. The array is of length numStages. */
-    float32_t *pCoeffs;                  /**< points to the coefficient array. The array is of length numStages. */
-  } arm_fir_lattice_instance_f32;
-
-  /**
-   * @brief Initialization function for the Q15 FIR lattice filter.
-   * @param[in] *S points to an instance of the Q15 FIR lattice structure.
-   * @param[in] numStages  number of filter stages.
-   * @param[in] *pCoeffs points to the coefficient buffer.  The array is of length numStages. 
-   * @param[in] *pState points to the state buffer.  The array is of length numStages. 
-   * @return none.
-   */
-
-  void arm_fir_lattice_init_q15(
-  arm_fir_lattice_instance_q15 * S,
-  uint16_t numStages,
-  q15_t * pCoeffs,
-  q15_t * pState);
-
-
-  /**
-   * @brief Processing function for the Q15 FIR lattice filter.
-   * @param[in] *S points to an instance of the Q15 FIR lattice structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-  void arm_fir_lattice_q15(
-  const arm_fir_lattice_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Initialization function for the Q31 FIR lattice filter.
-   * @param[in] *S points to an instance of the Q31 FIR lattice structure.
-   * @param[in] numStages  number of filter stages.
-   * @param[in] *pCoeffs points to the coefficient buffer.  The array is of length numStages.
-   * @param[in] *pState points to the state buffer.   The array is of length numStages.
-   * @return none.
-   */
-
-  void arm_fir_lattice_init_q31(
-  arm_fir_lattice_instance_q31 * S,
-  uint16_t numStages,
-  q31_t * pCoeffs,
-  q31_t * pState);
-
-
-  /**
-   * @brief Processing function for the Q31 FIR lattice filter.
-   * @param[in]  *S        points to an instance of the Q31 FIR lattice structure.
-   * @param[in]  *pSrc     points to the block of input data.
-   * @param[out] *pDst     points to the block of output data
-   * @param[in]  blockSize number of samples to process.
-   * @return none.
-   */
-
-  void arm_fir_lattice_q31(
-  const arm_fir_lattice_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-/**
- * @brief Initialization function for the floating-point FIR lattice filter.
- * @param[in] *S points to an instance of the floating-point FIR lattice structure.
- * @param[in] numStages  number of filter stages.
- * @param[in] *pCoeffs points to the coefficient buffer.  The array is of length numStages.
- * @param[in] *pState points to the state buffer.  The array is of length numStages.
- * @return none.
- */
-
-  void arm_fir_lattice_init_f32(
-  arm_fir_lattice_instance_f32 * S,
-  uint16_t numStages,
-  float32_t * pCoeffs,
-  float32_t * pState);
-
-  /**
-   * @brief Processing function for the floating-point FIR lattice filter.
-   * @param[in]  *S        points to an instance of the floating-point FIR lattice structure.
-   * @param[in]  *pSrc     points to the block of input data.
-   * @param[out] *pDst     points to the block of output data
-   * @param[in]  blockSize number of samples to process.
-   * @return none.
-   */
-
-  void arm_fir_lattice_f32(
-  const arm_fir_lattice_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Instance structure for the Q15 IIR lattice filter.
-   */
-  typedef struct
-  {
-    uint16_t numStages;                         /**< number of stages in the filter. */
-    q15_t *pState;                              /**< points to the state variable array. The array is of length numStages+blockSize. */
-    q15_t *pkCoeffs;                            /**< points to the reflection coefficient array. The array is of length numStages. */
-    q15_t *pvCoeffs;                            /**< points to the ladder coefficient array. The array is of length numStages+1. */
-  } arm_iir_lattice_instance_q15;
-
-  /**
-   * @brief Instance structure for the Q31 IIR lattice filter.
-   */
-  typedef struct
-  {
-    uint16_t numStages;                         /**< number of stages in the filter. */
-    q31_t *pState;                              /**< points to the state variable array. The array is of length numStages+blockSize. */
-    q31_t *pkCoeffs;                            /**< points to the reflection coefficient array. The array is of length numStages. */
-    q31_t *pvCoeffs;                            /**< points to the ladder coefficient array. The array is of length numStages+1. */
-  } arm_iir_lattice_instance_q31;
-
-  /**
-   * @brief Instance structure for the floating-point IIR lattice filter.
-   */
-  typedef struct
-  {
-    uint16_t numStages;                         /**< number of stages in the filter. */
-    float32_t *pState;                          /**< points to the state variable array. The array is of length numStages+blockSize. */
-    float32_t *pkCoeffs;                        /**< points to the reflection coefficient array. The array is of length numStages. */
-    float32_t *pvCoeffs;                        /**< points to the ladder coefficient array. The array is of length numStages+1. */
-  } arm_iir_lattice_instance_f32;
-
-  /**
-   * @brief Processing function for the floating-point IIR lattice filter.
-   * @param[in] *S points to an instance of the floating-point IIR lattice structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-
-  void arm_iir_lattice_f32(
-  const arm_iir_lattice_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Initialization function for the floating-point IIR lattice filter.
-   * @param[in] *S points to an instance of the floating-point IIR lattice structure.
-   * @param[in] numStages number of stages in the filter.
-   * @param[in] *pkCoeffs points to the reflection coefficient buffer.  The array is of length numStages.
-   * @param[in] *pvCoeffs points to the ladder coefficient buffer.  The array is of length numStages+1.
-   * @param[in] *pState points to the state buffer.  The array is of length numStages+blockSize-1.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-
-  void arm_iir_lattice_init_f32(
-  arm_iir_lattice_instance_f32 * S,
-  uint16_t numStages,
-  float32_t * pkCoeffs,
-  float32_t * pvCoeffs,
-  float32_t * pState,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief Processing function for the Q31 IIR lattice filter.
-   * @param[in] *S points to an instance of the Q31 IIR lattice structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-
-  void arm_iir_lattice_q31(
-  const arm_iir_lattice_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief Initialization function for the Q31 IIR lattice filter.
-   * @param[in] *S points to an instance of the Q31 IIR lattice structure.
-   * @param[in] numStages number of stages in the filter.
-   * @param[in] *pkCoeffs points to the reflection coefficient buffer.  The array is of length numStages.
-   * @param[in] *pvCoeffs points to the ladder coefficient buffer.  The array is of length numStages+1.
-   * @param[in] *pState points to the state buffer.  The array is of length numStages+blockSize.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-
-  void arm_iir_lattice_init_q31(
-  arm_iir_lattice_instance_q31 * S,
-  uint16_t numStages,
-  q31_t * pkCoeffs,
-  q31_t * pvCoeffs,
-  q31_t * pState,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief Processing function for the Q15 IIR lattice filter.
-   * @param[in] *S points to an instance of the Q15 IIR lattice structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[out] *pDst points to the block of output data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-
-  void arm_iir_lattice_q15(
-  const arm_iir_lattice_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-
-/**
- * @brief Initialization function for the Q15 IIR lattice filter.
- * @param[in] *S points to an instance of the fixed-point Q15 IIR lattice structure.
- * @param[in] numStages  number of stages in the filter.
- * @param[in] *pkCoeffs points to reflection coefficient buffer.  The array is of length numStages.
- * @param[in] *pvCoeffs points to ladder coefficient buffer.  The array is of length numStages+1.
- * @param[in] *pState points to state buffer.  The array is of length numStages+blockSize.
- * @param[in] blockSize number of samples to process per call.
- * @return none.
- */
-
-  void arm_iir_lattice_init_q15(
-  arm_iir_lattice_instance_q15 * S,
-  uint16_t numStages,
-  q15_t * pkCoeffs,
-  q15_t * pvCoeffs,
-  q15_t * pState,
-  uint32_t blockSize);
-
-  /**
-   * @brief Instance structure for the floating-point LMS filter.
-   */
-
-  typedef struct
-  {
-    uint16_t numTaps;    /**< number of coefficients in the filter. */
-    float32_t *pState;   /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
-    float32_t *pCoeffs;  /**< points to the coefficient array. The array is of length numTaps. */
-    float32_t mu;        /**< step size that controls filter coefficient updates. */
-  } arm_lms_instance_f32;
-
-  /**
-   * @brief Processing function for floating-point LMS filter.
-   * @param[in]  *S points to an instance of the floating-point LMS filter structure.
-   * @param[in]  *pSrc points to the block of input data.
-   * @param[in]  *pRef points to the block of reference data.
-   * @param[out] *pOut points to the block of output data.
-   * @param[out] *pErr points to the block of error data.
-   * @param[in]  blockSize number of samples to process.
-   * @return     none.
-   */
-
-  void arm_lms_f32(
-  const arm_lms_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pRef,
-  float32_t * pOut,
-  float32_t * pErr,
-  uint32_t blockSize);
-
-  /**
-   * @brief Initialization function for floating-point LMS filter.
-   * @param[in] *S points to an instance of the floating-point LMS filter structure.
-   * @param[in] numTaps  number of filter coefficients.
-   * @param[in] *pCoeffs points to the coefficient buffer.
-   * @param[in] *pState points to state buffer.
-   * @param[in] mu step size that controls filter coefficient updates.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-
-  void arm_lms_init_f32(
-  arm_lms_instance_f32 * S,
-  uint16_t numTaps,
-  float32_t * pCoeffs,
-  float32_t * pState,
-  float32_t mu,
-  uint32_t blockSize);
-
-  /**
-   * @brief Instance structure for the Q15 LMS filter.
-   */
-
-  typedef struct
-  {
-    uint16_t numTaps;    /**< number of coefficients in the filter. */
-    q15_t *pState;       /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
-    q15_t *pCoeffs;      /**< points to the coefficient array. The array is of length numTaps. */
-    q15_t mu;            /**< step size that controls filter coefficient updates. */
-    uint32_t postShift;  /**< bit shift applied to coefficients. */
-  } arm_lms_instance_q15;
-
-
-  /**
-   * @brief Initialization function for the Q15 LMS filter.
-   * @param[in] *S points to an instance of the Q15 LMS filter structure.
-   * @param[in] numTaps  number of filter coefficients.
-   * @param[in] *pCoeffs points to the coefficient buffer.
-   * @param[in] *pState points to the state buffer.
-   * @param[in] mu step size that controls filter coefficient updates.
-   * @param[in] blockSize number of samples to process.
-   * @param[in] postShift bit shift applied to coefficients.
-   * @return    none.
-   */
-
-  void arm_lms_init_q15(
-  arm_lms_instance_q15 * S,
-  uint16_t numTaps,
-  q15_t * pCoeffs,
-  q15_t * pState,
-  q15_t mu,
-  uint32_t blockSize,
-  uint32_t postShift);
-
-  /**
-   * @brief Processing function for Q15 LMS filter.
-   * @param[in] *S points to an instance of the Q15 LMS filter structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[in] *pRef points to the block of reference data.
-   * @param[out] *pOut points to the block of output data.
-   * @param[out] *pErr points to the block of error data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-
-  void arm_lms_q15(
-  const arm_lms_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pRef,
-  q15_t * pOut,
-  q15_t * pErr,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief Instance structure for the Q31 LMS filter.
-   */
-
-  typedef struct
-  {
-    uint16_t numTaps;    /**< number of coefficients in the filter. */
-    q31_t *pState;       /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
-    q31_t *pCoeffs;      /**< points to the coefficient array. The array is of length numTaps. */
-    q31_t mu;            /**< step size that controls filter coefficient updates. */
-    uint32_t postShift;  /**< bit shift applied to coefficients. */
-
-  } arm_lms_instance_q31;
-
-  /**
-   * @brief Processing function for Q31 LMS filter.
-   * @param[in]  *S points to an instance of the Q15 LMS filter structure.
-   * @param[in]  *pSrc points to the block of input data.
-   * @param[in]  *pRef points to the block of reference data.
-   * @param[out] *pOut points to the block of output data.
-   * @param[out] *pErr points to the block of error data.
-   * @param[in]  blockSize number of samples to process.
-   * @return     none.
-   */
-
-  void arm_lms_q31(
-  const arm_lms_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pRef,
-  q31_t * pOut,
-  q31_t * pErr,
-  uint32_t blockSize);
-
-  /**
-   * @brief Initialization function for Q31 LMS filter.
-   * @param[in] *S points to an instance of the Q31 LMS filter structure.
-   * @param[in] numTaps  number of filter coefficients.
-   * @param[in] *pCoeffs points to coefficient buffer.
-   * @param[in] *pState points to state buffer.
-   * @param[in] mu step size that controls filter coefficient updates.
-   * @param[in] blockSize number of samples to process.
-   * @param[in] postShift bit shift applied to coefficients.
-   * @return none.
-   */
-
-  void arm_lms_init_q31(
-  arm_lms_instance_q31 * S,
-  uint16_t numTaps,
-  q31_t * pCoeffs,
-  q31_t * pState,
-  q31_t mu,
-  uint32_t blockSize,
-  uint32_t postShift);
-
-  /**
-   * @brief Instance structure for the floating-point normalized LMS filter.
-   */
-
-  typedef struct
-  {
-    uint16_t numTaps;     /**< number of coefficients in the filter. */
-    float32_t *pState;    /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
-    float32_t *pCoeffs;   /**< points to the coefficient array. The array is of length numTaps. */
-    float32_t mu;        /**< step size that control filter coefficient updates. */
-    float32_t energy;    /**< saves previous frame energy. */
-    float32_t x0;        /**< saves previous input sample. */
-  } arm_lms_norm_instance_f32;
-
-  /**
-   * @brief Processing function for floating-point normalized LMS filter.
-   * @param[in] *S points to an instance of the floating-point normalized LMS filter structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[in] *pRef points to the block of reference data.
-   * @param[out] *pOut points to the block of output data.
-   * @param[out] *pErr points to the block of error data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-
-  void arm_lms_norm_f32(
-  arm_lms_norm_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pRef,
-  float32_t * pOut,
-  float32_t * pErr,
-  uint32_t blockSize);
-
-  /**
-   * @brief Initialization function for floating-point normalized LMS filter.
-   * @param[in] *S points to an instance of the floating-point LMS filter structure.
-   * @param[in] numTaps  number of filter coefficients.
-   * @param[in] *pCoeffs points to coefficient buffer.
-   * @param[in] *pState points to state buffer.
-   * @param[in] mu step size that controls filter coefficient updates.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-
-  void arm_lms_norm_init_f32(
-  arm_lms_norm_instance_f32 * S,
-  uint16_t numTaps,
-  float32_t * pCoeffs,
-  float32_t * pState,
-  float32_t mu,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief Instance structure for the Q31 normalized LMS filter.
-   */
-  typedef struct
-  {
-    uint16_t numTaps;     /**< number of coefficients in the filter. */
-    q31_t *pState;        /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
-    q31_t *pCoeffs;       /**< points to the coefficient array. The array is of length numTaps. */
-    q31_t mu;             /**< step size that controls filter coefficient updates. */
-    uint8_t postShift;    /**< bit shift applied to coefficients. */
-    q31_t *recipTable;    /**< points to the reciprocal initial value table. */
-    q31_t energy;         /**< saves previous frame energy. */
-    q31_t x0;             /**< saves previous input sample. */
-  } arm_lms_norm_instance_q31;
-
-  /**
-   * @brief Processing function for Q31 normalized LMS filter.
-   * @param[in] *S points to an instance of the Q31 normalized LMS filter structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[in] *pRef points to the block of reference data.
-   * @param[out] *pOut points to the block of output data.
-   * @param[out] *pErr points to the block of error data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-
-  void arm_lms_norm_q31(
-  arm_lms_norm_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pRef,
-  q31_t * pOut,
-  q31_t * pErr,
-  uint32_t blockSize);
-
-  /**
-   * @brief Initialization function for Q31 normalized LMS filter.
-   * @param[in] *S points to an instance of the Q31 normalized LMS filter structure.
-   * @param[in] numTaps  number of filter coefficients.
-   * @param[in] *pCoeffs points to coefficient buffer.
-   * @param[in] *pState points to state buffer.
-   * @param[in] mu step size that controls filter coefficient updates.
-   * @param[in] blockSize number of samples to process.
-   * @param[in] postShift bit shift applied to coefficients.
-   * @return none.
-   */
-
-  void arm_lms_norm_init_q31(
-  arm_lms_norm_instance_q31 * S,
-  uint16_t numTaps,
-  q31_t * pCoeffs,
-  q31_t * pState,
-  q31_t mu,
-  uint32_t blockSize,
-  uint8_t postShift);
-
-  /**
-   * @brief Instance structure for the Q15 normalized LMS filter.
-   */
-
-  typedef struct
-  {
-    uint16_t numTaps;    /**< Number of coefficients in the filter. */
-    q15_t *pState;        /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
-    q15_t *pCoeffs;       /**< points to the coefficient array. The array is of length numTaps. */
-    q15_t mu;            /**< step size that controls filter coefficient updates. */
-    uint8_t postShift;   /**< bit shift applied to coefficients. */
-    q15_t *recipTable;   /**< Points to the reciprocal initial value table. */
-    q15_t energy;        /**< saves previous frame energy. */
-    q15_t x0;            /**< saves previous input sample. */
-  } arm_lms_norm_instance_q15;
-
-  /**
-   * @brief Processing function for Q15 normalized LMS filter.
-   * @param[in] *S points to an instance of the Q15 normalized LMS filter structure.
-   * @param[in] *pSrc points to the block of input data.
-   * @param[in] *pRef points to the block of reference data.
-   * @param[out] *pOut points to the block of output data.
-   * @param[out] *pErr points to the block of error data.
-   * @param[in] blockSize number of samples to process.
-   * @return none.
-   */
-
-  void arm_lms_norm_q15(
-  arm_lms_norm_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pRef,
-  q15_t * pOut,
-  q15_t * pErr,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief Initialization function for Q15 normalized LMS filter.
-   * @param[in] *S points to an instance of the Q15 normalized LMS filter structure.
-   * @param[in] numTaps  number of filter coefficients.
-   * @param[in] *pCoeffs points to coefficient buffer.
-   * @param[in] *pState points to state buffer.
-   * @param[in] mu step size that controls filter coefficient updates.
-   * @param[in] blockSize number of samples to process.
-   * @param[in] postShift bit shift applied to coefficients.
-   * @return none.
-   */
-
-  void arm_lms_norm_init_q15(
-  arm_lms_norm_instance_q15 * S,
-  uint16_t numTaps,
-  q15_t * pCoeffs,
-  q15_t * pState,
-  q15_t mu,
-  uint32_t blockSize,
-  uint8_t postShift);
-
-  /**
-   * @brief Correlation of floating-point sequences.
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
-   * @return none.
-   */
-
-  void arm_correlate_f32(
-  float32_t * pSrcA,
-  uint32_t srcALen,
-  float32_t * pSrcB,
-  uint32_t srcBLen,
-  float32_t * pDst);
-
-
-   /**   
-   * @brief Correlation of Q15 sequences   
-   * @param[in] *pSrcA points to the first input sequence.   
-   * @param[in] srcALen length of the first input sequence.   
-   * @param[in] *pSrcB points to the second input sequence.   
-   * @param[in] srcBLen length of the second input sequence.   
-   * @param[out] *pDst points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.   
-   * @param[in]  *pScratch points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.   
-   * @return none.   
-   */
-  void arm_correlate_opt_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst,
-  q15_t * pScratch);
-
-
-  /**
-   * @brief Correlation of Q15 sequences.
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
-   * @return none.
-   */
-
-  void arm_correlate_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst);
-
-  /**
-   * @brief Correlation of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
-   * @return none.
-   */
-
-  void arm_correlate_fast_q15(
-			       q15_t * pSrcA,
-			      uint32_t srcALen,
-			       q15_t * pSrcB,
-			      uint32_t srcBLen,
-			      q15_t * pDst);
-
-
-
-  /**
-   * @brief Correlation of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
-   * @param[in]  *pScratch points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.   
-   * @return none.
-   */
-
-  void arm_correlate_fast_opt_q15(
-  q15_t * pSrcA,
-  uint32_t srcALen,
-  q15_t * pSrcB,
-  uint32_t srcBLen,
-  q15_t * pDst,
-  q15_t * pScratch);
-
-  /**
-   * @brief Correlation of Q31 sequences.
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
-   * @return none.
-   */
-
-  void arm_correlate_q31(
-  q31_t * pSrcA,
-  uint32_t srcALen,
-  q31_t * pSrcB,
-  uint32_t srcBLen,
-  q31_t * pDst);
-
-  /**
-   * @brief Correlation of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
-   * @return none.
-   */
-
-  void arm_correlate_fast_q31(
-  q31_t * pSrcA,
-  uint32_t srcALen,
-  q31_t * pSrcB,
-  uint32_t srcBLen,
-  q31_t * pDst);
-
-
-
- /**   
-   * @brief Correlation of Q7 sequences.   
-   * @param[in] *pSrcA points to the first input sequence.   
-   * @param[in] srcALen length of the first input sequence.   
-   * @param[in] *pSrcB points to the second input sequence.   
-   * @param[in] srcBLen length of the second input sequence.   
-   * @param[out] *pDst points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.   
-   * @param[in]  *pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.   
-   * @param[in]  *pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).   
-   * @return none.   
-   */
-
-  void arm_correlate_opt_q7(
-  q7_t * pSrcA,
-  uint32_t srcALen,
-  q7_t * pSrcB,
-  uint32_t srcBLen,
-  q7_t * pDst,
-  q15_t * pScratch1,
-  q15_t * pScratch2);
-
-
-  /**
-   * @brief Correlation of Q7 sequences.
-   * @param[in] *pSrcA points to the first input sequence.
-   * @param[in] srcALen length of the first input sequence.
-   * @param[in] *pSrcB points to the second input sequence.
-   * @param[in] srcBLen length of the second input sequence.
-   * @param[out] *pDst points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
-   * @return none.
-   */
-
-  void arm_correlate_q7(
-  q7_t * pSrcA,
-  uint32_t srcALen,
-  q7_t * pSrcB,
-  uint32_t srcBLen,
-  q7_t * pDst);
-
-
-  /**
-   * @brief Instance structure for the floating-point sparse FIR filter.
-   */
-  typedef struct
-  {
-    uint16_t numTaps;             /**< number of coefficients in the filter. */
-    uint16_t stateIndex;          /**< state buffer index.  Points to the oldest sample in the state buffer. */
-    float32_t *pState;            /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */
-    float32_t *pCoeffs;           /**< points to the coefficient array. The array is of length numTaps.*/
-    uint16_t maxDelay;            /**< maximum offset specified by the pTapDelay array. */
-    int32_t *pTapDelay;           /**< points to the array of delay values.  The array is of length numTaps. */
-  } arm_fir_sparse_instance_f32;
-
-  /**
-   * @brief Instance structure for the Q31 sparse FIR filter.
-   */
-
-  typedef struct
-  {
-    uint16_t numTaps;             /**< number of coefficients in the filter. */
-    uint16_t stateIndex;          /**< state buffer index.  Points to the oldest sample in the state buffer. */
-    q31_t *pState;                /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */
-    q31_t *pCoeffs;               /**< points to the coefficient array. The array is of length numTaps.*/
-    uint16_t maxDelay;            /**< maximum offset specified by the pTapDelay array. */
-    int32_t *pTapDelay;           /**< points to the array of delay values.  The array is of length numTaps. */
-  } arm_fir_sparse_instance_q31;
-
-  /**
-   * @brief Instance structure for the Q15 sparse FIR filter.
-   */
-
-  typedef struct
-  {
-    uint16_t numTaps;             /**< number of coefficients in the filter. */
-    uint16_t stateIndex;          /**< state buffer index.  Points to the oldest sample in the state buffer. */
-    q15_t *pState;                /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */
-    q15_t *pCoeffs;               /**< points to the coefficient array. The array is of length numTaps.*/
-    uint16_t maxDelay;            /**< maximum offset specified by the pTapDelay array. */
-    int32_t *pTapDelay;           /**< points to the array of delay values.  The array is of length numTaps. */
-  } arm_fir_sparse_instance_q15;
-
-  /**
-   * @brief Instance structure for the Q7 sparse FIR filter.
-   */
-
-  typedef struct
-  {
-    uint16_t numTaps;             /**< number of coefficients in the filter. */
-    uint16_t stateIndex;          /**< state buffer index.  Points to the oldest sample in the state buffer. */
-    q7_t *pState;                 /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */
-    q7_t *pCoeffs;                /**< points to the coefficient array. The array is of length numTaps.*/
-    uint16_t maxDelay;            /**< maximum offset specified by the pTapDelay array. */
-    int32_t *pTapDelay;           /**< points to the array of delay values.  The array is of length numTaps. */
-  } arm_fir_sparse_instance_q7;
-
-  /**
-   * @brief Processing function for the floating-point sparse FIR filter.
-   * @param[in]  *S          points to an instance of the floating-point sparse FIR structure.
-   * @param[in]  *pSrc       points to the block of input data.
-   * @param[out] *pDst       points to the block of output data
-   * @param[in]  *pScratchIn points to a temporary buffer of size blockSize.
-   * @param[in]  blockSize   number of input samples to process per call.
-   * @return none.
-   */
-
-  void arm_fir_sparse_f32(
-  arm_fir_sparse_instance_f32 * S,
-  float32_t * pSrc,
-  float32_t * pDst,
-  float32_t * pScratchIn,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Initialization function for the floating-point sparse FIR filter.
-   * @param[in,out] *S         points to an instance of the floating-point sparse FIR structure.
-   * @param[in]     numTaps    number of nonzero coefficients in the filter.
-   * @param[in]     *pCoeffs   points to the array of filter coefficients.
-   * @param[in]     *pState    points to the state buffer.
-   * @param[in]     *pTapDelay points to the array of offset times.
-   * @param[in]     maxDelay   maximum offset time supported.
-   * @param[in]     blockSize  number of samples that will be processed per block.
-   * @return none
-   */
-
-  void arm_fir_sparse_init_f32(
-  arm_fir_sparse_instance_f32 * S,
-  uint16_t numTaps,
-  float32_t * pCoeffs,
-  float32_t * pState,
-  int32_t * pTapDelay,
-  uint16_t maxDelay,
-  uint32_t blockSize);
-
-  /**
-   * @brief Processing function for the Q31 sparse FIR filter.
-   * @param[in]  *S          points to an instance of the Q31 sparse FIR structure.
-   * @param[in]  *pSrc       points to the block of input data.
-   * @param[out] *pDst       points to the block of output data
-   * @param[in]  *pScratchIn points to a temporary buffer of size blockSize.
-   * @param[in]  blockSize   number of input samples to process per call.
-   * @return none.
-   */
-
-  void arm_fir_sparse_q31(
-  arm_fir_sparse_instance_q31 * S,
-  q31_t * pSrc,
-  q31_t * pDst,
-  q31_t * pScratchIn,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Initialization function for the Q31 sparse FIR filter.
-   * @param[in,out] *S         points to an instance of the Q31 sparse FIR structure.
-   * @param[in]     numTaps    number of nonzero coefficients in the filter.
-   * @param[in]     *pCoeffs   points to the array of filter coefficients.
-   * @param[in]     *pState    points to the state buffer.
-   * @param[in]     *pTapDelay points to the array of offset times.
-   * @param[in]     maxDelay   maximum offset time supported.
-   * @param[in]     blockSize  number of samples that will be processed per block.
-   * @return none
-   */
-
-  void arm_fir_sparse_init_q31(
-  arm_fir_sparse_instance_q31 * S,
-  uint16_t numTaps,
-  q31_t * pCoeffs,
-  q31_t * pState,
-  int32_t * pTapDelay,
-  uint16_t maxDelay,
-  uint32_t blockSize);
-
-  /**
-   * @brief Processing function for the Q15 sparse FIR filter.
-   * @param[in]  *S           points to an instance of the Q15 sparse FIR structure.
-   * @param[in]  *pSrc        points to the block of input data.
-   * @param[out] *pDst        points to the block of output data
-   * @param[in]  *pScratchIn  points to a temporary buffer of size blockSize.
-   * @param[in]  *pScratchOut points to a temporary buffer of size blockSize.
-   * @param[in]  blockSize    number of input samples to process per call.
-   * @return none.
-   */
-
-  void arm_fir_sparse_q15(
-  arm_fir_sparse_instance_q15 * S,
-  q15_t * pSrc,
-  q15_t * pDst,
-  q15_t * pScratchIn,
-  q31_t * pScratchOut,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief  Initialization function for the Q15 sparse FIR filter.
-   * @param[in,out] *S         points to an instance of the Q15 sparse FIR structure.
-   * @param[in]     numTaps    number of nonzero coefficients in the filter.
-   * @param[in]     *pCoeffs   points to the array of filter coefficients.
-   * @param[in]     *pState    points to the state buffer.
-   * @param[in]     *pTapDelay points to the array of offset times.
-   * @param[in]     maxDelay   maximum offset time supported.
-   * @param[in]     blockSize  number of samples that will be processed per block.
-   * @return none
-   */
-
-  void arm_fir_sparse_init_q15(
-  arm_fir_sparse_instance_q15 * S,
-  uint16_t numTaps,
-  q15_t * pCoeffs,
-  q15_t * pState,
-  int32_t * pTapDelay,
-  uint16_t maxDelay,
-  uint32_t blockSize);
-
-  /**
-   * @brief Processing function for the Q7 sparse FIR filter.
-   * @param[in]  *S           points to an instance of the Q7 sparse FIR structure.
-   * @param[in]  *pSrc        points to the block of input data.
-   * @param[out] *pDst        points to the block of output data
-   * @param[in]  *pScratchIn  points to a temporary buffer of size blockSize.
-   * @param[in]  *pScratchOut points to a temporary buffer of size blockSize.
-   * @param[in]  blockSize    number of input samples to process per call.
-   * @return none.
-   */
-
-  void arm_fir_sparse_q7(
-  arm_fir_sparse_instance_q7 * S,
-  q7_t * pSrc,
-  q7_t * pDst,
-  q7_t * pScratchIn,
-  q31_t * pScratchOut,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Initialization function for the Q7 sparse FIR filter.
-   * @param[in,out] *S         points to an instance of the Q7 sparse FIR structure.
-   * @param[in]     numTaps    number of nonzero coefficients in the filter.
-   * @param[in]     *pCoeffs   points to the array of filter coefficients.
-   * @param[in]     *pState    points to the state buffer.
-   * @param[in]     *pTapDelay points to the array of offset times.
-   * @param[in]     maxDelay   maximum offset time supported.
-   * @param[in]     blockSize  number of samples that will be processed per block.
-   * @return none
-   */
-
-  void arm_fir_sparse_init_q7(
-  arm_fir_sparse_instance_q7 * S,
-  uint16_t numTaps,
-  q7_t * pCoeffs,
-  q7_t * pState,
-  int32_t * pTapDelay,
-  uint16_t maxDelay,
-  uint32_t blockSize);
-
-
-  /*
-   * @brief  Floating-point sin_cos function.
-   * @param[in]  theta    input value in degrees 
-   * @param[out] *pSinVal points to the processed sine output. 
-   * @param[out] *pCosVal points to the processed cos output. 
-   * @return none.
-   */
-
-  void arm_sin_cos_f32(
-  float32_t theta,
-  float32_t * pSinVal,
-  float32_t * pCcosVal);
-
-  /*
-   * @brief  Q31 sin_cos function.
-   * @param[in]  theta    scaled input value in degrees 
-   * @param[out] *pSinVal points to the processed sine output. 
-   * @param[out] *pCosVal points to the processed cosine output. 
-   * @return none.
-   */
-
-  void arm_sin_cos_q31(
-  q31_t theta,
-  q31_t * pSinVal,
-  q31_t * pCosVal);
-
-
-  /**
-   * @brief  Floating-point complex conjugate.
-   * @param[in]  *pSrc points to the input vector
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  numSamples number of complex samples in each vector
-   * @return none.
-   */
-
-  void arm_cmplx_conj_f32(
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t numSamples);
-
-  /**
-   * @brief  Q31 complex conjugate.
-   * @param[in]  *pSrc points to the input vector
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  numSamples number of complex samples in each vector
-   * @return none.
-   */
-
-  void arm_cmplx_conj_q31(
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t numSamples);
-
-  /**
-   * @brief  Q15 complex conjugate.
-   * @param[in]  *pSrc points to the input vector
-   * @param[out]  *pDst points to the output vector
-   * @param[in]  numSamples number of complex samples in each vector
-   * @return none.
-   */
-
-  void arm_cmplx_conj_q15(
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t numSamples);
-
-
-
-  /**
-   * @brief  Floating-point complex magnitude squared
-   * @param[in]  *pSrc points to the complex input vector
-   * @param[out]  *pDst points to the real output vector
-   * @param[in]  numSamples number of complex samples in the input vector
-   * @return none.
-   */
-
-  void arm_cmplx_mag_squared_f32(
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t numSamples);
-
-  /**
-   * @brief  Q31 complex magnitude squared
-   * @param[in]  *pSrc points to the complex input vector
-   * @param[out]  *pDst points to the real output vector
-   * @param[in]  numSamples number of complex samples in the input vector
-   * @return none.
-   */
-
-  void arm_cmplx_mag_squared_q31(
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t numSamples);
-
-  /**
-   * @brief  Q15 complex magnitude squared
-   * @param[in]  *pSrc points to the complex input vector
-   * @param[out]  *pDst points to the real output vector
-   * @param[in]  numSamples number of complex samples in the input vector
-   * @return none.
-   */
-
-  void arm_cmplx_mag_squared_q15(
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t numSamples);
-
-
- /**
-   * @ingroup groupController
-   */
-
-  /**
-   * @defgroup PID PID Motor Control
-   *
-   * A Proportional Integral Derivative (PID) controller is a generic feedback control 
-   * loop mechanism widely used in industrial control systems.
-   * A PID controller is the most commonly used type of feedback controller.
-   *
-   * This set of functions implements (PID) controllers
-   * for Q15, Q31, and floating-point data types.  The functions operate on a single sample
-   * of data and each call to the function returns a single processed value.
-   * S points to an instance of the PID control data structure.  in
-   * is the input sample value. The functions return the output value.
-   *
-   * \par Algorithm:
-   * 
-   *    y[n] = y[n-1] + A0 * x[n] + A1 * x[n-1] + A2 * x[n-2]
-   *    A0 = Kp + Ki + Kd
-   *    A1 = (-Kp ) - (2 * Kd )
-   *    A2 = Kd  

-   *
-   * \par
-   * where \c Kp is proportional constant, \c Ki is Integral constant and \c Kd is Derivative constant
-   * 
-   * \par 
-   * \image html PID.gif "Proportional Integral Derivative Controller" 
-   *
-   * \par
-   * The PID controller calculates an "error" value as the difference between
-   * the measured output and the reference input.
-   * The controller attempts to minimize the error by adjusting the process control inputs.  
-   * The proportional value determines the reaction to the current error, 
-   * the integral value determines the reaction based on the sum of recent errors, 
-   * and the derivative value determines the reaction based on the rate at which the error has been changing.
-   *
-   * \par Instance Structure 
-   * The Gains A0, A1, A2 and state variables for a PID controller are stored together in an instance data structure. 
-   * A separate instance structure must be defined for each PID Controller. 
-   * There are separate instance structure declarations for each of the 3 supported data types. 
-   * 
-   * \par Reset Functions 
-   * There is also an associated reset function for each data type which clears the state array. 
-   *
-   * \par Initialization Functions 
-   * There is also an associated initialization function for each data type. 
-   * The initialization function performs the following operations: 
-   * - Initializes the Gains A0, A1, A2 from Kp,Ki, Kd gains.
-   * - Zeros out the values in the state buffer.   
-   * 
-   * \par 
-   * Instance structure cannot be placed into a const data section and it is recommended to use the initialization function. 
-   *
-   * \par Fixed-Point Behavior 
-   * Care must be taken when using the fixed-point versions of the PID Controller functions. 
-   * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. 
-   * Refer to the function specific documentation below for usage guidelines. 
-   */
-
-  /**
-   * @addtogroup PID
-   * @{
-   */
-
-  /**
-   * @brief  Process function for the floating-point PID Control.
-   * @param[in,out] *S is an instance of the floating-point PID Control structure
-   * @param[in] in input sample to process
-   * @return out processed output sample.
-   */
-
-
-  __STATIC_INLINE float32_t arm_pid_f32(
-  arm_pid_instance_f32 * S,
-  float32_t in)
-  {
-    float32_t out;
-
-    /* y[n] = y[n-1] + A0 * x[n] + A1 * x[n-1] + A2 * x[n-2]  */
-    out = (S->A0 * in) +
-      (S->A1 * S->state[0]) + (S->A2 * S->state[1]) + (S->state[2]);
-
-    /* Update state */
-    S->state[1] = S->state[0];
-    S->state[0] = in;
-    S->state[2] = out;
-
-    /* return to application */
-    return (out);
-
-  }
-
-  /**
-   * @brief  Process function for the Q31 PID Control.
-   * @param[in,out] *S points to an instance of the Q31 PID Control structure
-   * @param[in] in input sample to process
-   * @return out processed output sample.
-   *
-   * Scaling and Overflow Behavior: 
-   * \par 
-   * The function is implemented using an internal 64-bit accumulator. 
-   * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. 
-   * Thus, if the accumulator result overflows it wraps around rather than clip. 
-   * In order to avoid overflows completely the input signal must be scaled down by 2 bits as there are four additions. 
-   * After all multiply-accumulates are performed, the 2.62 accumulator is truncated to 1.32 format and then saturated to 1.31 format. 
-   */
-
-  __STATIC_INLINE q31_t arm_pid_q31(
-  arm_pid_instance_q31 * S,
-  q31_t in)
-  {
-    q63_t acc;
-    q31_t out;
-
-    /* acc = A0 * x[n]  */
-    acc = (q63_t) S->A0 * in;
-
-    /* acc += A1 * x[n-1] */
-    acc += (q63_t) S->A1 * S->state[0];
-
-    /* acc += A2 * x[n-2]  */
-    acc += (q63_t) S->A2 * S->state[1];
-
-    /* convert output to 1.31 format to add y[n-1] */
-    out = (q31_t) (acc >> 31u);
-
-    /* out += y[n-1] */
-    out += S->state[2];
-
-    /* Update state */
-    S->state[1] = S->state[0];
-    S->state[0] = in;
-    S->state[2] = out;
-
-    /* return to application */
-    return (out);
-
-  }
-
-  /**
-   * @brief  Process function for the Q15 PID Control.
-   * @param[in,out] *S points to an instance of the Q15 PID Control structure
-   * @param[in] in input sample to process
-   * @return out processed output sample.
-   *
-   * Scaling and Overflow Behavior: 
-   * \par 
-   * The function is implemented using a 64-bit internal accumulator. 
-   * Both Gains and state variables are represented in 1.15 format and multiplications yield a 2.30 result. 
-   * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. 
-   * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. 
-   * After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits. 
-   * Lastly, the accumulator is saturated to yield a result in 1.15 format.
-   */
-
-  __STATIC_INLINE q15_t arm_pid_q15(
-  arm_pid_instance_q15 * S,
-  q15_t in)
-  {
-    q63_t acc;
-    q15_t out;
-
-    /* Implementation of PID controller */
-
-#ifdef ARM_MATH_CM0
-
-    /* acc = A0 * x[n]  */
-    acc = ((q31_t) S->A0) * in;
-
-#else
-
-    /* acc = A0 * x[n]  */
-    acc = (q31_t) __SMUAD(S->A0, in);
-
-#endif
-
-#ifdef ARM_MATH_CM0
-
-    /* acc += A1 * x[n-1] + A2 * x[n-2]  */
-    acc += (q31_t) S->A1 * S->state[0];
-    acc += (q31_t) S->A2 * S->state[1];
-
-#else
-
-    /* acc += A1 * x[n-1] + A2 * x[n-2]  */
-    acc = __SMLALD(S->A1, (q31_t) __SIMD32(S->state), acc);
-
-#endif
-
-    /* acc += y[n-1] */
-    acc += (q31_t) S->state[2] << 15;
-
-    /* saturate the output */
-    out = (q15_t) (__SSAT((acc >> 15), 16));
-
-    /* Update state */
-    S->state[1] = S->state[0];
-    S->state[0] = in;
-    S->state[2] = out;
-
-    /* return to application */
-    return (out);
-
-  }
-
-  /**
-   * @} end of PID group
-   */
-
-
-  /**
-   * @brief Floating-point matrix inverse.
-   * @param[in]  *src points to the instance of the input floating-point matrix structure.
-   * @param[out] *dst points to the instance of the output floating-point matrix structure.
-   * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
-   * If the input matrix is singular (does not have an inverse), then the algorithm terminates and returns error status ARM_MATH_SINGULAR.
-   */
-
-  arm_status arm_mat_inverse_f32(
-  const arm_matrix_instance_f32 * src,
-  arm_matrix_instance_f32 * dst);
-
-
-
-  /**
-   * @ingroup groupController
-   */
-
-
-  /**
-   * @defgroup clarke Vector Clarke Transform
-   * Forward Clarke transform converts the instantaneous stator phases into a two-coordinate time invariant vector.
-   * Generally the Clarke transform uses three-phase currents Ia, Ib and Ic to calculate currents
-   * in the two-phase orthogonal stator axis Ialpha and Ibeta.
-   * When Ialpha is superposed with Ia as shown in the figure below
-   * \image html clarke.gif Stator current space vector and its components in (a,b).
-   * and Ia + Ib + Ic = 0, in this condition Ialpha and Ibeta
-   * can be calculated using only Ia and Ib.
-   *
-   * The function operates on a single sample of data and each call to the function returns the processed output. 
-   * The library provides separate functions for Q31 and floating-point data types.
-   * \par Algorithm
-   * \image html clarkeFormula.gif
-   * where Ia and Ib are the instantaneous stator phases and
-   * pIalpha and pIbeta are the two coordinates of time invariant vector.
-   * \par Fixed-Point Behavior
-   * Care must be taken when using the Q31 version of the Clarke transform.
-   * In particular, the overflow and saturation behavior of the accumulator used must be considered.
-   * Refer to the function specific documentation below for usage guidelines.
-   */
-
-  /**
-   * @addtogroup clarke
-   * @{
-   */
-
-  /**
-   *
-   * @brief  Floating-point Clarke transform
-   * @param[in]       Ia       input three-phase coordinate a
-   * @param[in]       Ib       input three-phase coordinate b
-   * @param[out]      *pIalpha points to output two-phase orthogonal vector axis alpha
-   * @param[out]      *pIbeta  points to output two-phase orthogonal vector axis beta
-   * @return none.
-   */
-
-  __STATIC_INLINE void arm_clarke_f32(
-  float32_t Ia,
-  float32_t Ib,
-  float32_t * pIalpha,
-  float32_t * pIbeta)
-  {
-    /* Calculate pIalpha using the equation, pIalpha = Ia */
-    *pIalpha = Ia;
-
-    /* Calculate pIbeta using the equation, pIbeta = (1/sqrt(3)) * Ia + (2/sqrt(3)) * Ib */
-    *pIbeta =
-      ((float32_t) 0.57735026919 * Ia + (float32_t) 1.15470053838 * Ib);
-
-  }
-
-  /**
-   * @brief  Clarke transform for Q31 version
-   * @param[in]       Ia       input three-phase coordinate a
-   * @param[in]       Ib       input three-phase coordinate b
-   * @param[out]      *pIalpha points to output two-phase orthogonal vector axis alpha
-   * @param[out]      *pIbeta  points to output two-phase orthogonal vector axis beta
-   * @return none.
-   *
-   * Scaling and Overflow Behavior:
-   * \par
-   * The function is implemented using an internal 32-bit accumulator.
-   * The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.
-   * There is saturation on the addition, hence there is no risk of overflow.
-   */
-
-  __STATIC_INLINE void arm_clarke_q31(
-  q31_t Ia,
-  q31_t Ib,
-  q31_t * pIalpha,
-  q31_t * pIbeta)
-  {
-    q31_t product1, product2;                    /* Temporary variables used to store intermediate results */
-
-    /* Calculating pIalpha from Ia by equation pIalpha = Ia */
-    *pIalpha = Ia;
-
-    /* Intermediate product is calculated by (1/(sqrt(3)) * Ia) */
-    product1 = (q31_t) (((q63_t) Ia * 0x24F34E8B) >> 30);
-
-    /* Intermediate product is calculated by (2/sqrt(3) * Ib) */
-    product2 = (q31_t) (((q63_t) Ib * 0x49E69D16) >> 30);
-
-    /* pIbeta is calculated by adding the intermediate products */
-    *pIbeta = __QADD(product1, product2);
-  }
-
-  /**
-   * @} end of clarke group
-   */
-
-  /**
-   * @brief  Converts the elements of the Q7 vector to Q31 vector.
-   * @param[in]  *pSrc     input pointer
-   * @param[out]  *pDst    output pointer
-   * @param[in]  blockSize number of samples to process
-   * @return none.
-   */
-  void arm_q7_to_q31(
-  q7_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-
-
-
-  /**
-   * @ingroup groupController
-   */
-
-  /**
-   * @defgroup inv_clarke Vector Inverse Clarke Transform
-   * Inverse Clarke transform converts the two-coordinate time invariant vector into instantaneous stator phases.
-   * 
-   * The function operates on a single sample of data and each call to the function returns the processed output. 
-   * The library provides separate functions for Q31 and floating-point data types.
-   * \par Algorithm
-   * \image html clarkeInvFormula.gif
-   * where pIa and pIb are the instantaneous stator phases and
-   * Ialpha and Ibeta are the two coordinates of time invariant vector.
-   * \par Fixed-Point Behavior
-   * Care must be taken when using the Q31 version of the Clarke transform.
-   * In particular, the overflow and saturation behavior of the accumulator used must be considered.
-   * Refer to the function specific documentation below for usage guidelines.
-   */
-
-  /**
-   * @addtogroup inv_clarke
-   * @{
-   */
-
-   /**
-   * @brief  Floating-point Inverse Clarke transform
-   * @param[in]       Ialpha  input two-phase orthogonal vector axis alpha
-   * @param[in]       Ibeta   input two-phase orthogonal vector axis beta
-   * @param[out]      *pIa    points to output three-phase coordinate a
-   * @param[out]      *pIb    points to output three-phase coordinate b
-   * @return none.
-   */
-
-
-  __STATIC_INLINE void arm_inv_clarke_f32(
-  float32_t Ialpha,
-  float32_t Ibeta,
-  float32_t * pIa,
-  float32_t * pIb)
-  {
-    /* Calculating pIa from Ialpha by equation pIa = Ialpha */
-    *pIa = Ialpha;
-
-    /* Calculating pIb from Ialpha and Ibeta by equation pIb = -(1/2) * Ialpha + (sqrt(3)/2) * Ibeta */
-    *pIb = -0.5f * Ialpha + (float32_t) 0.8660254039f *Ibeta;
-
-  }
-
-  /**
-   * @brief  Inverse Clarke transform for Q31 version 
-   * @param[in]       Ialpha  input two-phase orthogonal vector axis alpha
-   * @param[in]       Ibeta   input two-phase orthogonal vector axis beta
-   * @param[out]      *pIa    points to output three-phase coordinate a
-   * @param[out]      *pIb    points to output three-phase coordinate b
-   * @return none.
-   *
-   * Scaling and Overflow Behavior:
-   * \par
-   * The function is implemented using an internal 32-bit accumulator.
-   * The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.
-   * There is saturation on the subtraction, hence there is no risk of overflow.
-   */
-
-  __STATIC_INLINE void arm_inv_clarke_q31(
-  q31_t Ialpha,
-  q31_t Ibeta,
-  q31_t * pIa,
-  q31_t * pIb)
-  {
-    q31_t product1, product2;                    /* Temporary variables used to store intermediate results */
-
-    /* Calculating pIa from Ialpha by equation pIa = Ialpha */
-    *pIa = Ialpha;
-
-    /* Intermediate product is calculated by (1/(2*sqrt(3)) * Ia) */
-    product1 = (q31_t) (((q63_t) (Ialpha) * (0x40000000)) >> 31);
-
-    /* Intermediate product is calculated by (1/sqrt(3) * pIb) */
-    product2 = (q31_t) (((q63_t) (Ibeta) * (0x6ED9EBA1)) >> 31);
-
-    /* pIb is calculated by subtracting the products */
-    *pIb = __QSUB(product2, product1);
-
-  }
-
-  /**
-   * @} end of inv_clarke group
-   */
-
-  /**
-   * @brief  Converts the elements of the Q7 vector to Q15 vector.
-   * @param[in]  *pSrc     input pointer
-   * @param[out] *pDst     output pointer
-   * @param[in]  blockSize number of samples to process
-   * @return none.
-   */
-  void arm_q7_to_q15(
-  q7_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-
-
-  /**
-   * @ingroup groupController
-   */
-
-  /**
-   * @defgroup park Vector Park Transform
-   *
-   * Forward Park transform converts the input two-coordinate vector to flux and torque components.
-   * The Park transform can be used to realize the transformation of the Ialpha and the Ibeta currents 
-   * from the stationary to the moving reference frame and control the spatial relationship between 
-   * the stator vector current and rotor flux vector.
-   * If we consider the d axis aligned with the rotor flux, the diagram below shows the 
-   * current vector and the relationship from the two reference frames:
-   * \image html park.gif "Stator current space vector and its component in (a,b) and in the d,q rotating reference frame"
-   *
-   * The function operates on a single sample of data and each call to the function returns the processed output. 
-   * The library provides separate functions for Q31 and floating-point data types.
-   * \par Algorithm
-   * \image html parkFormula.gif
-   * where Ialpha and Ibeta are the stator vector components,  
-   * pId and pIq are rotor vector components and cosVal and sinVal are the 
-   * cosine and sine values of theta (rotor flux position).
-   * \par Fixed-Point Behavior
-   * Care must be taken when using the Q31 version of the Park transform.
-   * In particular, the overflow and saturation behavior of the accumulator used must be considered.
-   * Refer to the function specific documentation below for usage guidelines.
-   */
-
-  /**
-   * @addtogroup park
-   * @{
-   */
-
-  /**
-   * @brief Floating-point Park transform
-   * @param[in]       Ialpha input two-phase vector coordinate alpha
-   * @param[in]       Ibeta  input two-phase vector coordinate beta
-   * @param[out]      *pId   points to output	rotor reference frame d
-   * @param[out]      *pIq   points to output	rotor reference frame q
-   * @param[in]       sinVal sine value of rotation angle theta
-   * @param[in]       cosVal cosine value of rotation angle theta
-   * @return none.
-   *
-   * The function implements the forward Park transform.
-   *
-   */
-
-  __STATIC_INLINE void arm_park_f32(
-  float32_t Ialpha,
-  float32_t Ibeta,
-  float32_t * pId,
-  float32_t * pIq,
-  float32_t sinVal,
-  float32_t cosVal)
-  {
-    /* Calculate pId using the equation, pId = Ialpha * cosVal + Ibeta * sinVal */
-    *pId = Ialpha * cosVal + Ibeta * sinVal;
-
-    /* Calculate pIq using the equation, pIq = - Ialpha * sinVal + Ibeta * cosVal */
-    *pIq = -Ialpha * sinVal + Ibeta * cosVal;
-
-  }
-
-  /**
-   * @brief  Park transform for Q31 version 
-   * @param[in]       Ialpha input two-phase vector coordinate alpha
-   * @param[in]       Ibeta  input two-phase vector coordinate beta
-   * @param[out]      *pId   points to output rotor reference frame d
-   * @param[out]      *pIq   points to output rotor reference frame q
-   * @param[in]       sinVal sine value of rotation angle theta
-   * @param[in]       cosVal cosine value of rotation angle theta
-   * @return none.
-   *
-   * Scaling and Overflow Behavior:
-   * \par
-   * The function is implemented using an internal 32-bit accumulator.
-   * The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.
-   * There is saturation on the addition and subtraction, hence there is no risk of overflow.
-   */
-
-
-  __STATIC_INLINE void arm_park_q31(
-  q31_t Ialpha,
-  q31_t Ibeta,
-  q31_t * pId,
-  q31_t * pIq,
-  q31_t sinVal,
-  q31_t cosVal)
-  {
-    q31_t product1, product2;                    /* Temporary variables used to store intermediate results */
-    q31_t product3, product4;                    /* Temporary variables used to store intermediate results */
-
-    /* Intermediate product is calculated by (Ialpha * cosVal) */
-    product1 = (q31_t) (((q63_t) (Ialpha) * (cosVal)) >> 31);
-
-    /* Intermediate product is calculated by (Ibeta * sinVal) */
-    product2 = (q31_t) (((q63_t) (Ibeta) * (sinVal)) >> 31);
-
-
-    /* Intermediate product is calculated by (Ialpha * sinVal) */
-    product3 = (q31_t) (((q63_t) (Ialpha) * (sinVal)) >> 31);
-
-    /* Intermediate product is calculated by (Ibeta * cosVal) */
-    product4 = (q31_t) (((q63_t) (Ibeta) * (cosVal)) >> 31);
-
-    /* Calculate pId by adding the two intermediate products 1 and 2 */
-    *pId = __QADD(product1, product2);
-
-    /* Calculate pIq by subtracting the two intermediate products 3 from 4 */
-    *pIq = __QSUB(product4, product3);
-  }
-
-  /**
-   * @} end of park group
-   */
-
-  /**
-   * @brief  Converts the elements of the Q7 vector to floating-point vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[out]  *pDst is output pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @return none.
-   */
-  void arm_q7_to_float(
-  q7_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize);
-
-
-  /**
-   * @ingroup groupController
-   */
-
-  /**
-   * @defgroup inv_park Vector Inverse Park transform
-   * Inverse Park transform converts the input flux and torque components to two-coordinate vector.
-   *
-   * The function operates on a single sample of data and each call to the function returns the processed output. 
-   * The library provides separate functions for Q31 and floating-point data types.
-   * \par Algorithm
-   * \image html parkInvFormula.gif
-   * where pIalpha and pIbeta are the stator vector components,  
-   * Id and Iq are rotor vector components and cosVal and sinVal are the 
-   * cosine and sine values of theta (rotor flux position).
-   * \par Fixed-Point Behavior
-   * Care must be taken when using the Q31 version of the Park transform.
-   * In particular, the overflow and saturation behavior of the accumulator used must be considered.
-   * Refer to the function specific documentation below for usage guidelines.
-   */
-
-  /**
-   * @addtogroup inv_park
-   * @{
-   */
-
-   /**
-   * @brief  Floating-point Inverse Park transform
-   * @param[in]       Id        input coordinate of rotor reference frame d
-   * @param[in]       Iq        input coordinate of rotor reference frame q
-   * @param[out]      *pIalpha  points to output two-phase orthogonal vector axis alpha
-   * @param[out]      *pIbeta   points to output two-phase orthogonal vector axis beta
-   * @param[in]       sinVal    sine value of rotation angle theta
-   * @param[in]       cosVal    cosine value of rotation angle theta
-   * @return none.
-   */
-
-  __STATIC_INLINE void arm_inv_park_f32(
-  float32_t Id,
-  float32_t Iq,
-  float32_t * pIalpha,
-  float32_t * pIbeta,
-  float32_t sinVal,
-  float32_t cosVal)
-  {
-    /* Calculate pIalpha using the equation, pIalpha = Id * cosVal - Iq * sinVal */
-    *pIalpha = Id * cosVal - Iq * sinVal;
-
-    /* Calculate pIbeta using the equation, pIbeta = Id * sinVal + Iq * cosVal */
-    *pIbeta = Id * sinVal + Iq * cosVal;
-
-  }
-
-
-  /**
-   * @brief  Inverse Park transform for	Q31 version 
-   * @param[in]       Id        input coordinate of rotor reference frame d
-   * @param[in]       Iq        input coordinate of rotor reference frame q
-   * @param[out]      *pIalpha  points to output two-phase orthogonal vector axis alpha
-   * @param[out]      *pIbeta   points to output two-phase orthogonal vector axis beta
-   * @param[in]       sinVal    sine value of rotation angle theta
-   * @param[in]       cosVal    cosine value of rotation angle theta
-   * @return none.
-   *
-   * Scaling and Overflow Behavior:
-   * \par
-   * The function is implemented using an internal 32-bit accumulator.
-   * The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.
-   * There is saturation on the addition, hence there is no risk of overflow.
-   */
-
-
-  __STATIC_INLINE void arm_inv_park_q31(
-  q31_t Id,
-  q31_t Iq,
-  q31_t * pIalpha,
-  q31_t * pIbeta,
-  q31_t sinVal,
-  q31_t cosVal)
-  {
-    q31_t product1, product2;                    /* Temporary variables used to store intermediate results */
-    q31_t product3, product4;                    /* Temporary variables used to store intermediate results */
-
-    /* Intermediate product is calculated by (Id * cosVal) */
-    product1 = (q31_t) (((q63_t) (Id) * (cosVal)) >> 31);
-
-    /* Intermediate product is calculated by (Iq * sinVal) */
-    product2 = (q31_t) (((q63_t) (Iq) * (sinVal)) >> 31);
-
-
-    /* Intermediate product is calculated by (Id * sinVal) */
-    product3 = (q31_t) (((q63_t) (Id) * (sinVal)) >> 31);
-
-    /* Intermediate product is calculated by (Iq * cosVal) */
-    product4 = (q31_t) (((q63_t) (Iq) * (cosVal)) >> 31);
-
-    /* Calculate pIalpha by using the two intermediate products 1 and 2 */
-    *pIalpha = __QSUB(product1, product2);
-
-    /* Calculate pIbeta by using the two intermediate products 3 and 4 */
-    *pIbeta = __QADD(product4, product3);
-
-  }
-
-  /**
-   * @} end of Inverse park group
-   */
-
-
-  /**
-   * @brief  Converts the elements of the Q31 vector to floating-point vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[out]  *pDst is output pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @return none.
-   */
-  void arm_q31_to_float(
-  q31_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @ingroup groupInterpolation
-   */
-
-  /**
-   * @defgroup LinearInterpolate Linear Interpolation
-   *
-   * Linear interpolation is a method of curve fitting using linear polynomials.
-   * Linear interpolation works by effectively drawing a straight line between two neighboring samples and returning the appropriate point along that line
-   *
-   * \par 
-   * \image html LinearInterp.gif "Linear interpolation"
-   *
-   * \par
-   * A  Linear Interpolate function calculates an output value(y), for the input(x)
-   * using linear interpolation of the input values x0, x1( nearest input values) and the output values y0 and y1(nearest output values)
-   *
-   * \par Algorithm:
-   * 
-   *       y = y0 + (x - x0) * ((y1 - y0)/(x1-x0))
-   *       where x0, x1 are nearest values of input x
-   *             y0, y1 are nearest values to output y
-   * 

-   *
-   * \par
-   * This set of functions implements Linear interpolation process
-   * for Q7, Q15, Q31, and floating-point data types.  The functions operate on a single
-   * sample of data and each call to the function returns a single processed value.
-   * S points to an instance of the Linear Interpolate function data structure.
-   * x is the input sample value. The functions returns the output value.
-   * 
-   * \par
-   * if x is outside of the table boundary, Linear interpolation returns first value of the table 
-   * if x is below input range and returns last value of table if x is above range.  
-   */
-
-  /**
-   * @addtogroup LinearInterpolate
-   * @{
-   */
-
-  /**
-   * @brief  Process function for the floating-point Linear Interpolation Function.
-   * @param[in,out] *S is an instance of the floating-point Linear Interpolation structure
-   * @param[in] x input sample to process
-   * @return y processed output sample.
-   *
-   */
-
-  __STATIC_INLINE float32_t arm_linear_interp_f32(
-  arm_linear_interp_instance_f32 * S,
-  float32_t x)
-  {
-
-    float32_t y;
-    float32_t x0, x1;                            /* Nearest input values */
-    float32_t y0, y1;                            /* Nearest output values */
-    float32_t xSpacing = S->xSpacing;            /* spacing between input values */
-    int32_t i;                                   /* Index variable */
-    float32_t *pYData = S->pYData;               /* pointer to output table */
-
-    /* Calculation of index */
-    i = (x - S->x1) / xSpacing;
-
-    if(i < 0)
-    {
-      /* Iniatilize output for below specified range as least output value of table */
-      y = pYData[0];
-    }
-    else if((unsigned)i >= S->nValues)
-    {
-      /* Iniatilize output for above specified range as last output value of table */
-      y = pYData[S->nValues - 1];
-    }
-    else
-    {
-      /* Calculation of nearest input values */
-      x0 = S->x1 + i * xSpacing;
-      x1 = S->x1 + (i + 1) * xSpacing;
-
-      /* Read of nearest output values */
-      y0 = pYData[i];
-      y1 = pYData[i + 1];
-
-      /* Calculation of output */
-      y = y0 + (x - x0) * ((y1 - y0) / (x1 - x0));
-
-    }
-
-    /* returns output value */
-    return (y);
-  }
-
-   /**
-   *
-   * @brief  Process function for the Q31 Linear Interpolation Function.
-   * @param[in] *pYData  pointer to Q31 Linear Interpolation table
-   * @param[in] x input sample to process
-   * @param[in] nValues number of table values
-   * @return y processed output sample.
-   *
-   * \par
-   * Input sample x is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part.
-   * This function can support maximum of table size 2^12.
-   *
-   */
-
-
-  __STATIC_INLINE q31_t arm_linear_interp_q31(
-  q31_t * pYData,
-  q31_t x,
-  uint32_t nValues)
-  {
-    q31_t y;                                     /* output */
-    q31_t y0, y1;                                /* Nearest output values */
-    q31_t fract;                                 /* fractional part */
-    int32_t index;                               /* Index to read nearest output values */
-
-    /* Input is in 12.20 format */
-    /* 12 bits for the table index */
-    /* Index value calculation */
-    index = ((x & 0xFFF00000) >> 20);
-
-    if(index >= (nValues - 1))
-    {
-      return (pYData[nValues - 1]);
-    }
-    else if(index < 0)
-    {
-      return (pYData[0]);
-    }
-    else
-    {
-
-      /* 20 bits for the fractional part */
-      /* shift left by 11 to keep fract in 1.31 format */
-      fract = (x & 0x000FFFFF) << 11;
-
-      /* Read two nearest output values from the index in 1.31(q31) format */
-      y0 = pYData[index];
-      y1 = pYData[index + 1u];
-
-      /* Calculation of y0 * (1-fract) and y is in 2.30 format */
-      y = ((q31_t) ((q63_t) y0 * (0x7FFFFFFF - fract) >> 32));
-
-      /* Calculation of y0 * (1-fract) + y1 *fract and y is in 2.30 format */
-      y += ((q31_t) (((q63_t) y1 * fract) >> 32));
-
-      /* Convert y to 1.31 format */
-      return (y << 1u);
-
-    }
-
-  }
-
-  /**
-   *
-   * @brief  Process function for the Q15 Linear Interpolation Function.
-   * @param[in] *pYData  pointer to Q15 Linear Interpolation table
-   * @param[in] x input sample to process
-   * @param[in] nValues number of table values
-   * @return y processed output sample.
-   *
-   * \par
-   * Input sample x is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part.
-   * This function can support maximum of table size 2^12. 
-   *
-   */
-
-
-  __STATIC_INLINE q15_t arm_linear_interp_q15(
-  q15_t * pYData,
-  q31_t x,
-  uint32_t nValues)
-  {
-    q63_t y;                                     /* output */
-    q15_t y0, y1;                                /* Nearest output values */
-    q31_t fract;                                 /* fractional part */
-    int32_t index;                               /* Index to read nearest output values */
-
-    /* Input is in 12.20 format */
-    /* 12 bits for the table index */
-    /* Index value calculation */
-    index = ((x & 0xFFF00000) >> 20u);
-
-    if(index >= (nValues - 1))
-    {
-      return (pYData[nValues - 1]);
-    }
-    else if(index < 0)
-    {
-      return (pYData[0]);
-    }
-    else
-    {
-      /* 20 bits for the fractional part */
-      /* fract is in 12.20 format */
-      fract = (x & 0x000FFFFF);
-
-      /* Read two nearest output values from the index */
-      y0 = pYData[index];
-      y1 = pYData[index + 1u];
-
-      /* Calculation of y0 * (1-fract) and y is in 13.35 format */
-      y = ((q63_t) y0 * (0xFFFFF - fract));
-
-      /* Calculation of (y0 * (1-fract) + y1 * fract) and y is in 13.35 format */
-      y += ((q63_t) y1 * (fract));
-
-      /* convert y to 1.15 format */
-      return (y >> 20);
-    }
-
-
-  }
-
-  /**
-   *
-   * @brief  Process function for the Q7 Linear Interpolation Function.
-   * @param[in] *pYData  pointer to Q7 Linear Interpolation table
-   * @param[in] x input sample to process
-   * @param[in] nValues number of table values
-   * @return y processed output sample.
-   *
-   * \par
-   * Input sample x is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part.
-   * This function can support maximum of table size 2^12.
-   */
-
-
-  __STATIC_INLINE q7_t arm_linear_interp_q7(
-  q7_t * pYData,
-  q31_t x,
-  uint32_t nValues)
-  {
-    q31_t y;                                     /* output */
-    q7_t y0, y1;                                 /* Nearest output values */
-    q31_t fract;                                 /* fractional part */
-    int32_t index;                               /* Index to read nearest output values */
-
-    /* Input is in 12.20 format */
-    /* 12 bits for the table index */
-    /* Index value calculation */
-    index = ((x & 0xFFF00000) >> 20u);
-
-
-    if(index >= (nValues - 1))
-    {
-      return (pYData[nValues - 1]);
-    }
-    else if(index < 0)
-    {
-      return (pYData[0]);
-    }
-    else
-    {
-
-      /* 20 bits for the fractional part */
-      /* fract is in 12.20 format */
-      fract = (x & 0x000FFFFF);
-
-      /* Read two nearest output values from the index and are in 1.7(q7) format */
-      y0 = pYData[index];
-      y1 = pYData[index + 1u];
-
-      /* Calculation of y0 * (1-fract ) and y is in 13.27(q27) format */
-      y = ((y0 * (0xFFFFF - fract)));
-
-      /* Calculation of y1 * fract + y0 * (1-fract) and y is in 13.27(q27) format */
-      y += (y1 * fract);
-
-      /* convert y to 1.7(q7) format */
-      return (y >> 20u);
-
-    }
-
-  }
-  /**
-   * @} end of LinearInterpolate group
-   */
-
-  /**
-   * @brief  Fast approximation to the trigonometric sine function for floating-point data.
-   * @param[in] x input value in radians.
-   * @return  sin(x).
-   */
-
-  float32_t arm_sin_f32(
-  float32_t x);
-
-  /**
-   * @brief  Fast approximation to the trigonometric sine function for Q31 data.
-   * @param[in] x Scaled input value in radians.
-   * @return  sin(x).
-   */
-
-  q31_t arm_sin_q31(
-  q31_t x);
-
-  /**
-   * @brief  Fast approximation to the trigonometric sine function for Q15 data.
-   * @param[in] x Scaled input value in radians.
-   * @return  sin(x).
-   */
-
-  q15_t arm_sin_q15(
-  q15_t x);
-
-  /**
-   * @brief  Fast approximation to the trigonometric cosine function for floating-point data.
-   * @param[in] x input value in radians.
-   * @return  cos(x).
-   */
-
-  float32_t arm_cos_f32(
-  float32_t x);
-
-  /**
-   * @brief Fast approximation to the trigonometric cosine function for Q31 data.
-   * @param[in] x Scaled input value in radians.
-   * @return  cos(x).
-   */
-
-  q31_t arm_cos_q31(
-  q31_t x);
-
-  /**
-   * @brief  Fast approximation to the trigonometric cosine function for Q15 data.
-   * @param[in] x Scaled input value in radians.
-   * @return  cos(x).
-   */
-
-  q15_t arm_cos_q15(
-  q15_t x);
-
-
-  /**
-   * @ingroup groupFastMath
-   */
-
-
-  /**
-   * @defgroup SQRT Square Root
-   *
-   * Computes the square root of a number.
-   * There are separate functions for Q15, Q31, and floating-point data types.  
-   * The square root function is computed using the Newton-Raphson algorithm.
-   * This is an iterative algorithm of the form:
-   * 
-   *      x1 = x0 - f(x0)/f'(x0)
-   * 

-   * where x1 is the current estimate,
-   * x0 is the previous estimate and
-   * f'(x0) is the derivative of f() evaluated at x0.
-   * For the square root function, the algorithm reduces to:
-   * 
-   *     x0 = in/2                         [initial guess]
-   *     x1 = 1/2 * ( x0 + in / x0)        [each iteration]
-   * 

-   */
-
-
-  /**
-   * @addtogroup SQRT
-   * @{
-   */
-
-  /**
-   * @brief  Floating-point square root function.
-   * @param[in]  in     input value.
-   * @param[out] *pOut  square root of input value.
-   * @return The function returns ARM_MATH_SUCCESS if input value is positive value or ARM_MATH_ARGUMENT_ERROR if
-   * in is negative value and returns zero output for negative values.
-   */
-
-  __STATIC_INLINE arm_status arm_sqrt_f32(
-  float32_t in,
-  float32_t * pOut)
-  {
-    if(in > 0)
-    {
-
-//    #if __FPU_USED
-    #if (__FPU_USED == 1) && defined ( __CC_ARM   )
-        *pOut = __sqrtf(in);
-    #elif (__FPU_USED == 1) && defined ( __TMS_740 )
-        *pOut = __builtin_sqrtf(in);
-    #else
-        *pOut = sqrtf(in);
-    #endif
-
-      return (ARM_MATH_SUCCESS);
-    }
-    else
-    {
-      *pOut = 0.0f;
-      return (ARM_MATH_ARGUMENT_ERROR);
-    }
-
-  }
-
-
-  /**
-   * @brief Q31 square root function.
-   * @param[in]   in    input value.  The range of the input value is [0 +1) or 0x00000000 to 0x7FFFFFFF.
-   * @param[out]  *pOut square root of input value.
-   * @return The function returns ARM_MATH_SUCCESS if input value is positive value or ARM_MATH_ARGUMENT_ERROR if
-   * in is negative value and returns zero output for negative values.
-   */
-  arm_status arm_sqrt_q31(
-  q31_t in,
-  q31_t * pOut);
-
-  /**
-   * @brief  Q15 square root function.
-   * @param[in]   in     input value.  The range of the input value is [0 +1) or 0x0000 to 0x7FFF.
-   * @param[out]  *pOut  square root of input value.
-   * @return The function returns ARM_MATH_SUCCESS if input value is positive value or ARM_MATH_ARGUMENT_ERROR if
-   * in is negative value and returns zero output for negative values.
-   */
-  arm_status arm_sqrt_q15(
-  q15_t in,
-  q15_t * pOut);
-
-  /**
-   * @} end of SQRT group
-   */
-
-
-
-
-
-
-  /**
-   * @brief floating-point Circular write function.
-   */
-
-  __STATIC_INLINE void arm_circularWrite_f32(
-  int32_t * circBuffer,
-  int32_t L,
-  uint16_t * writeOffset,
-  int32_t bufferInc,
-  const int32_t * src,
-  int32_t srcInc,
-  uint32_t blockSize)
-  {
-    uint32_t i = 0u;
-    int32_t wOffset;
-
-    /* Copy the value of Index pointer that points
-     * to the current location where the input samples to be copied */
-    wOffset = *writeOffset;
-
-    /* Loop over the blockSize */
-    i = blockSize;
-
-    while(i > 0u)
-    {
-      /* copy the input sample to the circular buffer */
-      circBuffer[wOffset] = *src;
-
-      /* Update the input pointer */
-      src += srcInc;
-
-      /* Circularly update wOffset.  Watch out for positive and negative value */
-      wOffset += bufferInc;
-      if(wOffset >= L)
-        wOffset -= L;
-
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* Update the index pointer */
-    *writeOffset = wOffset;
-  }
-
-
-
-  /**
-   * @brief floating-point Circular Read function.
-   */
-  __STATIC_INLINE void arm_circularRead_f32(
-  int32_t * circBuffer,
-  int32_t L,
-  int32_t * readOffset,
-  int32_t bufferInc,
-  int32_t * dst,
-  int32_t * dst_base,
-  int32_t dst_length,
-  int32_t dstInc,
-  uint32_t blockSize)
-  {
-    uint32_t i = 0u;
-    int32_t rOffset, dst_end;
-
-    /* Copy the value of Index pointer that points
-     * to the current location from where the input samples to be read */
-    rOffset = *readOffset;
-    dst_end = (int32_t) (dst_base + dst_length);
-
-    /* Loop over the blockSize */
-    i = blockSize;
-
-    while(i > 0u)
-    {
-      /* copy the sample from the circular buffer to the destination buffer */
-      *dst = circBuffer[rOffset];
-
-      /* Update the input pointer */
-      dst += dstInc;
-
-      if(dst == (int32_t *) dst_end)
-      {
-        dst = dst_base;
-      }
-
-      /* Circularly update rOffset.  Watch out for positive and negative value  */
-      rOffset += bufferInc;
-
-      if(rOffset >= L)
-      {
-        rOffset -= L;
-      }
-
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* Update the index pointer */
-    *readOffset = rOffset;
-  }
-
-  /**
-   * @brief Q15 Circular write function.
-   */
-
-  __STATIC_INLINE void arm_circularWrite_q15(
-  q15_t * circBuffer,
-  int32_t L,
-  uint16_t * writeOffset,
-  int32_t bufferInc,
-  const q15_t * src,
-  int32_t srcInc,
-  uint32_t blockSize)
-  {
-    uint32_t i = 0u;
-    int32_t wOffset;
-
-    /* Copy the value of Index pointer that points
-     * to the current location where the input samples to be copied */
-    wOffset = *writeOffset;
-
-    /* Loop over the blockSize */
-    i = blockSize;
-
-    while(i > 0u)
-    {
-      /* copy the input sample to the circular buffer */
-      circBuffer[wOffset] = *src;
-
-      /* Update the input pointer */
-      src += srcInc;
-
-      /* Circularly update wOffset.  Watch out for positive and negative value */
-      wOffset += bufferInc;
-      if(wOffset >= L)
-        wOffset -= L;
-
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* Update the index pointer */
-    *writeOffset = wOffset;
-  }
-
-
-
-  /**
-   * @brief Q15 Circular Read function.
-   */
-  __STATIC_INLINE void arm_circularRead_q15(
-  q15_t * circBuffer,
-  int32_t L,
-  int32_t * readOffset,
-  int32_t bufferInc,
-  q15_t * dst,
-  q15_t * dst_base,
-  int32_t dst_length,
-  int32_t dstInc,
-  uint32_t blockSize)
-  {
-    uint32_t i = 0;
-    int32_t rOffset, dst_end;
-
-    /* Copy the value of Index pointer that points
-     * to the current location from where the input samples to be read */
-    rOffset = *readOffset;
-
-    dst_end = (int32_t) (dst_base + dst_length);
-
-    /* Loop over the blockSize */
-    i = blockSize;
-
-    while(i > 0u)
-    {
-      /* copy the sample from the circular buffer to the destination buffer */
-      *dst = circBuffer[rOffset];
-
-      /* Update the input pointer */
-      dst += dstInc;
-
-      if(dst == (q15_t *) dst_end)
-      {
-        dst = dst_base;
-      }
-
-      /* Circularly update wOffset.  Watch out for positive and negative value */
-      rOffset += bufferInc;
-
-      if(rOffset >= L)
-      {
-        rOffset -= L;
-      }
-
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* Update the index pointer */
-    *readOffset = rOffset;
-  }
-
-
-  /**
-   * @brief Q7 Circular write function.
-   */
-
-  __STATIC_INLINE void arm_circularWrite_q7(
-  q7_t * circBuffer,
-  int32_t L,
-  uint16_t * writeOffset,
-  int32_t bufferInc,
-  const q7_t * src,
-  int32_t srcInc,
-  uint32_t blockSize)
-  {
-    uint32_t i = 0u;
-    int32_t wOffset;
-
-    /* Copy the value of Index pointer that points
-     * to the current location where the input samples to be copied */
-    wOffset = *writeOffset;
-
-    /* Loop over the blockSize */
-    i = blockSize;
-
-    while(i > 0u)
-    {
-      /* copy the input sample to the circular buffer */
-      circBuffer[wOffset] = *src;
-
-      /* Update the input pointer */
-      src += srcInc;
-
-      /* Circularly update wOffset.  Watch out for positive and negative value */
-      wOffset += bufferInc;
-      if(wOffset >= L)
-        wOffset -= L;
-
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* Update the index pointer */
-    *writeOffset = wOffset;
-  }
-
-
-
-  /**
-   * @brief Q7 Circular Read function.
-   */
-  __STATIC_INLINE void arm_circularRead_q7(
-  q7_t * circBuffer,
-  int32_t L,
-  int32_t * readOffset,
-  int32_t bufferInc,
-  q7_t * dst,
-  q7_t * dst_base,
-  int32_t dst_length,
-  int32_t dstInc,
-  uint32_t blockSize)
-  {
-    uint32_t i = 0;
-    int32_t rOffset, dst_end;
-
-    /* Copy the value of Index pointer that points
-     * to the current location from where the input samples to be read */
-    rOffset = *readOffset;
-
-    dst_end = (int32_t) (dst_base + dst_length);
-
-    /* Loop over the blockSize */
-    i = blockSize;
-
-    while(i > 0u)
-    {
-      /* copy the sample from the circular buffer to the destination buffer */
-      *dst = circBuffer[rOffset];
-
-      /* Update the input pointer */
-      dst += dstInc;
-
-      if(dst == (q7_t *) dst_end)
-      {
-        dst = dst_base;
-      }
-
-      /* Circularly update rOffset.  Watch out for positive and negative value */
-      rOffset += bufferInc;
-
-      if(rOffset >= L)
-      {
-        rOffset -= L;
-      }
-
-      /* Decrement the loop counter */
-      i--;
-    }
-
-    /* Update the index pointer */
-    *readOffset = rOffset;
-  }
-
-
-  /**
-   * @brief  Sum of the squares of the elements of a Q31 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
-  void arm_power_q31(
-  q31_t * pSrc,
-  uint32_t blockSize,
-  q63_t * pResult);
-
-  /**
-   * @brief  Sum of the squares of the elements of a floating-point vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
-  void arm_power_f32(
-  float32_t * pSrc,
-  uint32_t blockSize,
-  float32_t * pResult);
-
-  /**
-   * @brief  Sum of the squares of the elements of a Q15 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
-  void arm_power_q15(
-  q15_t * pSrc,
-  uint32_t blockSize,
-  q63_t * pResult);
-
-  /**
-   * @brief  Sum of the squares of the elements of a Q7 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
-  void arm_power_q7(
-  q7_t * pSrc,
-  uint32_t blockSize,
-  q31_t * pResult);
-
-  /**
-   * @brief  Mean value of a Q7 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
-  void arm_mean_q7(
-  q7_t * pSrc,
-  uint32_t blockSize,
-  q7_t * pResult);
-
-  /**
-   * @brief  Mean value of a Q15 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-  void arm_mean_q15(
-  q15_t * pSrc,
-  uint32_t blockSize,
-  q15_t * pResult);
-
-  /**
-   * @brief  Mean value of a Q31 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-  void arm_mean_q31(
-  q31_t * pSrc,
-  uint32_t blockSize,
-  q31_t * pResult);
-
-  /**
-   * @brief  Mean value of a floating-point vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-  void arm_mean_f32(
-  float32_t * pSrc,
-  uint32_t blockSize,
-  float32_t * pResult);
-
-  /**
-   * @brief  Variance of the elements of a floating-point vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
-  void arm_var_f32(
-  float32_t * pSrc,
-  uint32_t blockSize,
-  float32_t * pResult);
-
-  /**
-   * @brief  Variance of the elements of a Q31 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
-  void arm_var_q31(
-  q31_t * pSrc,
-  uint32_t blockSize,
-  q63_t * pResult);
-
-  /**
-   * @brief  Variance of the elements of a Q15 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
-  void arm_var_q15(
-  q15_t * pSrc,
-  uint32_t blockSize,
-  q31_t * pResult);
-
-  /**
-   * @brief  Root Mean Square of the elements of a floating-point vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
-  void arm_rms_f32(
-  float32_t * pSrc,
-  uint32_t blockSize,
-  float32_t * pResult);
-
-  /**
-   * @brief  Root Mean Square of the elements of a Q31 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
-  void arm_rms_q31(
-  q31_t * pSrc,
-  uint32_t blockSize,
-  q31_t * pResult);
-
-  /**
-   * @brief  Root Mean Square of the elements of a Q15 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
-  void arm_rms_q15(
-  q15_t * pSrc,
-  uint32_t blockSize,
-  q15_t * pResult);
-
-  /**
-   * @brief  Standard deviation of the elements of a floating-point vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
-  void arm_std_f32(
-  float32_t * pSrc,
-  uint32_t blockSize,
-  float32_t * pResult);
-
-  /**
-   * @brief  Standard deviation of the elements of a Q31 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
-  void arm_std_q31(
-  q31_t * pSrc,
-  uint32_t blockSize,
-  q31_t * pResult);
-
-  /**
-   * @brief  Standard deviation of the elements of a Q15 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output value.
-   * @return none.
-   */
-
-  void arm_std_q15(
-  q15_t * pSrc,
-  uint32_t blockSize,
-  q15_t * pResult);
-
-  /**
-   * @brief  Floating-point complex magnitude
-   * @param[in]  *pSrc points to the complex input vector
-   * @param[out]  *pDst points to the real output vector
-   * @param[in]  numSamples number of complex samples in the input vector
-   * @return none.
-   */
-
-  void arm_cmplx_mag_f32(
-  float32_t * pSrc,
-  float32_t * pDst,
-  uint32_t numSamples);
-
-  /**
-   * @brief  Q31 complex magnitude
-   * @param[in]  *pSrc points to the complex input vector
-   * @param[out]  *pDst points to the real output vector
-   * @param[in]  numSamples number of complex samples in the input vector
-   * @return none.
-   */
-
-  void arm_cmplx_mag_q31(
-  q31_t * pSrc,
-  q31_t * pDst,
-  uint32_t numSamples);
-
-  /**
-   * @brief  Q15 complex magnitude
-   * @param[in]  *pSrc points to the complex input vector
-   * @param[out]  *pDst points to the real output vector
-   * @param[in]  numSamples number of complex samples in the input vector
-   * @return none.
-   */
-
-  void arm_cmplx_mag_q15(
-  q15_t * pSrc,
-  q15_t * pDst,
-  uint32_t numSamples);
-
-  /**
-   * @brief  Q15 complex dot product
-   * @param[in]  *pSrcA points to the first input vector
-   * @param[in]  *pSrcB points to the second input vector
-   * @param[in]  numSamples number of complex samples in each vector
-   * @param[out]  *realResult real part of the result returned here
-   * @param[out]  *imagResult imaginary part of the result returned here
-   * @return none.
-   */
-
-  void arm_cmplx_dot_prod_q15(
-  q15_t * pSrcA,
-  q15_t * pSrcB,
-  uint32_t numSamples,
-  q31_t * realResult,
-  q31_t * imagResult);
-
-  /**
-   * @brief  Q31 complex dot product
-   * @param[in]  *pSrcA points to the first input vector
-   * @param[in]  *pSrcB points to the second input vector
-   * @param[in]  numSamples number of complex samples in each vector
-   * @param[out]  *realResult real part of the result returned here
-   * @param[out]  *imagResult imaginary part of the result returned here
-   * @return none.
-   */
-
-  void arm_cmplx_dot_prod_q31(
-  q31_t * pSrcA,
-  q31_t * pSrcB,
-  uint32_t numSamples,
-  q63_t * realResult,
-  q63_t * imagResult);
-
-  /**
-   * @brief  Floating-point complex dot product
-   * @param[in]  *pSrcA points to the first input vector
-   * @param[in]  *pSrcB points to the second input vector
-   * @param[in]  numSamples number of complex samples in each vector
-   * @param[out]  *realResult real part of the result returned here
-   * @param[out]  *imagResult imaginary part of the result returned here
-   * @return none.
-   */
-
-  void arm_cmplx_dot_prod_f32(
-  float32_t * pSrcA,
-  float32_t * pSrcB,
-  uint32_t numSamples,
-  float32_t * realResult,
-  float32_t * imagResult);
-
-  /**
-   * @brief  Q15 complex-by-real multiplication
-   * @param[in]  *pSrcCmplx points to the complex input vector
-   * @param[in]  *pSrcReal points to the real input vector
-   * @param[out]  *pCmplxDst points to the complex output vector
-   * @param[in]  numSamples number of samples in each vector
-   * @return none.
-   */
-
-  void arm_cmplx_mult_real_q15(
-  q15_t * pSrcCmplx,
-  q15_t * pSrcReal,
-  q15_t * pCmplxDst,
-  uint32_t numSamples);
-
-  /**
-   * @brief  Q31 complex-by-real multiplication
-   * @param[in]  *pSrcCmplx points to the complex input vector
-   * @param[in]  *pSrcReal points to the real input vector
-   * @param[out]  *pCmplxDst points to the complex output vector
-   * @param[in]  numSamples number of samples in each vector
-   * @return none.
-   */
-
-  void arm_cmplx_mult_real_q31(
-  q31_t * pSrcCmplx,
-  q31_t * pSrcReal,
-  q31_t * pCmplxDst,
-  uint32_t numSamples);
-
-  /**
-   * @brief  Floating-point complex-by-real multiplication
-   * @param[in]  *pSrcCmplx points to the complex input vector
-   * @param[in]  *pSrcReal points to the real input vector
-   * @param[out]  *pCmplxDst points to the complex output vector
-   * @param[in]  numSamples number of samples in each vector
-   * @return none.
-   */
-
-  void arm_cmplx_mult_real_f32(
-  float32_t * pSrcCmplx,
-  float32_t * pSrcReal,
-  float32_t * pCmplxDst,
-  uint32_t numSamples);
-
-  /**
-   * @brief  Minimum value of a Q7 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *result is output pointer
-   * @param[in]  index is the array index of the minimum value in the input buffer.
-   * @return none.
-   */
-
-  void arm_min_q7(
-  q7_t * pSrc,
-  uint32_t blockSize,
-  q7_t * result,
-  uint32_t * index);
-
-  /**
-   * @brief  Minimum value of a Q15 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output pointer
-   * @param[in]  *pIndex is the array index of the minimum value in the input buffer.
-   * @return none.
-   */
-
-  void arm_min_q15(
-  q15_t * pSrc,
-  uint32_t blockSize,
-  q15_t * pResult,
-  uint32_t * pIndex);
-
-  /**
-   * @brief  Minimum value of a Q31 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output pointer
-   * @param[out]  *pIndex is the array index of the minimum value in the input buffer.
-   * @return none.
-   */
-  void arm_min_q31(
-  q31_t * pSrc,
-  uint32_t blockSize,
-  q31_t * pResult,
-  uint32_t * pIndex);
-
-  /**
-   * @brief  Minimum value of a floating-point vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @param[out]  *pResult is output pointer
-   * @param[out]  *pIndex is the array index of the minimum value in the input buffer.
-   * @return none.
-   */
-
-  void arm_min_f32(
-  float32_t * pSrc,
-  uint32_t blockSize,
-  float32_t * pResult,
-  uint32_t * pIndex);
-
-/**
- * @brief Maximum value of a Q7 vector.
- * @param[in]       *pSrc points to the input buffer
- * @param[in]       blockSize length of the input vector
- * @param[out]      *pResult maximum value returned here
- * @param[out]      *pIndex index of maximum value returned here
- * @return none.
- */
-
-  void arm_max_q7(
-  q7_t * pSrc,
-  uint32_t blockSize,
-  q7_t * pResult,
-  uint32_t * pIndex);
-
-/**
- * @brief Maximum value of a Q15 vector.
- * @param[in]       *pSrc points to the input buffer
- * @param[in]       blockSize length of the input vector
- * @param[out]      *pResult maximum value returned here
- * @param[out]      *pIndex index of maximum value returned here
- * @return none.
- */
-
-  void arm_max_q15(
-  q15_t * pSrc,
-  uint32_t blockSize,
-  q15_t * pResult,
-  uint32_t * pIndex);
-
-/**
- * @brief Maximum value of a Q31 vector.
- * @param[in]       *pSrc points to the input buffer
- * @param[in]       blockSize length of the input vector
- * @param[out]      *pResult maximum value returned here
- * @param[out]      *pIndex index of maximum value returned here
- * @return none.
- */
-
-  void arm_max_q31(
-  q31_t * pSrc,
-  uint32_t blockSize,
-  q31_t * pResult,
-  uint32_t * pIndex);
-
-/**
- * @brief Maximum value of a floating-point vector.
- * @param[in]       *pSrc points to the input buffer
- * @param[in]       blockSize length of the input vector
- * @param[out]      *pResult maximum value returned here
- * @param[out]      *pIndex index of maximum value returned here
- * @return none.
- */
-
-  void arm_max_f32(
-  float32_t * pSrc,
-  uint32_t blockSize,
-  float32_t * pResult,
-  uint32_t * pIndex);
-
-  /**
-   * @brief  Q15 complex-by-complex multiplication
-   * @param[in]  *pSrcA points to the first input vector
-   * @param[in]  *pSrcB points to the second input vector
-   * @param[out]  *pDst  points to the output vector
-   * @param[in]  numSamples number of complex samples in each vector
-   * @return none.
-   */
-
-  void arm_cmplx_mult_cmplx_q15(
-  q15_t * pSrcA,
-  q15_t * pSrcB,
-  q15_t * pDst,
-  uint32_t numSamples);
-
-  /**
-   * @brief  Q31 complex-by-complex multiplication
-   * @param[in]  *pSrcA points to the first input vector
-   * @param[in]  *pSrcB points to the second input vector
-   * @param[out]  *pDst  points to the output vector
-   * @param[in]  numSamples number of complex samples in each vector
-   * @return none.
-   */
-
-  void arm_cmplx_mult_cmplx_q31(
-  q31_t * pSrcA,
-  q31_t * pSrcB,
-  q31_t * pDst,
-  uint32_t numSamples);
-
-  /**
-   * @brief  Floating-point complex-by-complex multiplication
-   * @param[in]  *pSrcA points to the first input vector
-   * @param[in]  *pSrcB points to the second input vector
-   * @param[out]  *pDst  points to the output vector
-   * @param[in]  numSamples number of complex samples in each vector
-   * @return none.
-   */
-
-  void arm_cmplx_mult_cmplx_f32(
-  float32_t * pSrcA,
-  float32_t * pSrcB,
-  float32_t * pDst,
-  uint32_t numSamples);
-
-  /**
-   * @brief Converts the elements of the floating-point vector to Q31 vector. 
-   * @param[in]       *pSrc points to the floating-point input vector 
-   * @param[out]      *pDst points to the Q31 output vector
-   * @param[in]       blockSize length of the input vector 
-   * @return none. 
-   */
-  void arm_float_to_q31(
-  float32_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Converts the elements of the floating-point vector to Q15 vector. 
-   * @param[in]       *pSrc points to the floating-point input vector 
-   * @param[out]      *pDst points to the Q15 output vector
-   * @param[in]       blockSize length of the input vector 
-   * @return          none
-   */
-  void arm_float_to_q15(
-  float32_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief Converts the elements of the floating-point vector to Q7 vector. 
-   * @param[in]       *pSrc points to the floating-point input vector 
-   * @param[out]      *pDst points to the Q7 output vector
-   * @param[in]       blockSize length of the input vector 
-   * @return          none
-   */
-  void arm_float_to_q7(
-  float32_t * pSrc,
-  q7_t * pDst,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief  Converts the elements of the Q31 vector to Q15 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[out]  *pDst is output pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @return none.
-   */
-  void arm_q31_to_q15(
-  q31_t * pSrc,
-  q15_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Converts the elements of the Q31 vector to Q7 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[out]  *pDst is output pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @return none.
-   */
-  void arm_q31_to_q7(
-  q31_t * pSrc,
-  q7_t * pDst,
-  uint32_t blockSize);
-
-  /**
-   * @brief  Converts the elements of the Q15 vector to floating-point vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[out]  *pDst is output pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @return none.
-   */
-  void arm_q15_to_float(
-  q15_t * pSrc,
-  float32_t * pDst,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief  Converts the elements of the Q15 vector to Q31 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[out]  *pDst is output pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @return none.
-   */
-  void arm_q15_to_q31(
-  q15_t * pSrc,
-  q31_t * pDst,
-  uint32_t blockSize);
-
-
-  /**
-   * @brief  Converts the elements of the Q15 vector to Q7 vector.
-   * @param[in]  *pSrc is input pointer
-   * @param[out]  *pDst is output pointer
-   * @param[in]  blockSize is the number of samples to process
-   * @return none.
-   */
-  void arm_q15_to_q7(
-  q15_t * pSrc,
-  q7_t * pDst,
-  uint32_t blockSize);
-
-
-  /**
-   * @ingroup groupInterpolation
-   */
-
-  /**
-   * @defgroup BilinearInterpolate Bilinear Interpolation
-   *
-   * Bilinear interpolation is an extension of linear interpolation applied to a two dimensional grid.
-   * The underlying function f(x, y) is sampled on a regular grid and the interpolation process
-   * determines values between the grid points.
-   * Bilinear interpolation is equivalent to two step linear interpolation, first in the x-dimension and then in the y-dimension.
-   * Bilinear interpolation is often used in image processing to rescale images.
-   * The CMSIS DSP library provides bilinear interpolation functions for Q7, Q15, Q31, and floating-point data types.
-   *
-   * Algorithm
-   * \par
-   * The instance structure used by the bilinear interpolation functions describes a two dimensional data table.
-   * For floating-point, the instance structure is defined as:
-   * 
-   *   typedef struct
-   *   {
-   *     uint16_t numRows;
-   *     uint16_t numCols;
-   *     float32_t *pData;
-   * } arm_bilinear_interp_instance_f32;
-   * 

-   *
-   * \par
-   * where numRows specifies the number of rows in the table;
-   * numCols specifies the number of columns in the table;
-   * and pData points to an array of size numRows*numCols values.
-   * The data table pTable is organized in row order and the supplied data values fall on integer indexes.
-   * That is, table element (x,y) is located at pTable[x + y*numCols] where x and y are integers.
-   *
-   * \par
-   * Let (x, y) specify the desired interpolation point.  Then define:
-   * 
-   *     XF = floor(x)
-   *     YF = floor(y)
-   * 

-   * \par
-   * The interpolated output point is computed as:
-   * 
-   *  f(x, y) = f(XF, YF) * (1-(x-XF)) * (1-(y-YF))
-   *           + f(XF+1, YF) * (x-XF)*(1-(y-YF))
-   *           + f(XF, YF+1) * (1-(x-XF))*(y-YF)
-   *           + f(XF+1, YF+1) * (x-XF)*(y-YF)
-   * 

-   * Note that the coordinates (x, y) contain integer and fractional components.  
-   * The integer components specify which portion of the table to use while the
-   * fractional components control the interpolation processor.
-   *
-   * \par
-   * if (x,y) are outside of the table boundary, Bilinear interpolation returns zero output. 
-   */
-
-  /**
-   * @addtogroup BilinearInterpolate
-   * @{
-   */
-
-  /**
-  *
-  * @brief  Floating-point bilinear interpolation.
-  * @param[in,out] *S points to an instance of the interpolation structure.
-  * @param[in] X interpolation coordinate.
-  * @param[in] Y interpolation coordinate.
-  * @return out interpolated value.
-  */
-
-
-  __STATIC_INLINE float32_t arm_bilinear_interp_f32(
-  const arm_bilinear_interp_instance_f32 * S,
-  float32_t X,
-  float32_t Y)
-  {
-    float32_t out;
-    float32_t f00, f01, f10, f11;
-    float32_t *pData = S->pData;
-    int32_t xIndex, yIndex, index;
-    float32_t xdiff, ydiff;
-    float32_t b1, b2, b3, b4;
-
-    xIndex = (int32_t) X;
-    yIndex = (int32_t) Y;
-
-    /* Care taken for table outside boundary */
-    /* Returns zero output when values are outside table boundary */
-    if(xIndex < 0 || xIndex > (S->numRows - 1) || yIndex < 0
-       || yIndex > (S->numCols - 1))
-    {
-      return (0);
-    }
-
-    /* Calculation of index for two nearest points in X-direction */
-    index = (xIndex - 1) + (yIndex - 1) * S->numCols;
-
-
-    /* Read two nearest points in X-direction */
-    f00 = pData[index];
-    f01 = pData[index + 1];
-
-    /* Calculation of index for two nearest points in Y-direction */
-    index = (xIndex - 1) + (yIndex) * S->numCols;
-
-
-    /* Read two nearest points in Y-direction */
-    f10 = pData[index];
-    f11 = pData[index + 1];
-
-    /* Calculation of intermediate values */
-    b1 = f00;
-    b2 = f01 - f00;
-    b3 = f10 - f00;
-    b4 = f00 - f01 - f10 + f11;
-
-    /* Calculation of fractional part in X */
-    xdiff = X - xIndex;
-
-    /* Calculation of fractional part in Y */
-    ydiff = Y - yIndex;
-
-    /* Calculation of bi-linear interpolated output */
-    out = b1 + b2 * xdiff + b3 * ydiff + b4 * xdiff * ydiff;
-
-    /* return to application */
-    return (out);
-
-  }
-
-  /**
-  *
-  * @brief  Q31 bilinear interpolation.
-  * @param[in,out] *S points to an instance of the interpolation structure.
-  * @param[in] X interpolation coordinate in 12.20 format.
-  * @param[in] Y interpolation coordinate in 12.20 format.
-  * @return out interpolated value.
-  */
-
-  __STATIC_INLINE q31_t arm_bilinear_interp_q31(
-  arm_bilinear_interp_instance_q31 * S,
-  q31_t X,
-  q31_t Y)
-  {
-    q31_t out;                                   /* Temporary output */
-    q31_t acc = 0;                               /* output */
-    q31_t xfract, yfract;                        /* X, Y fractional parts */
-    q31_t x1, x2, y1, y2;                        /* Nearest output values */
-    int32_t rI, cI;                              /* Row and column indices */
-    q31_t *pYData = S->pData;                    /* pointer to output table values */
-    uint32_t nCols = S->numCols;                 /* num of rows */
-
-
-    /* Input is in 12.20 format */
-    /* 12 bits for the table index */
-    /* Index value calculation */
-    rI = ((X & 0xFFF00000) >> 20u);
-
-    /* Input is in 12.20 format */
-    /* 12 bits for the table index */
-    /* Index value calculation */
-    cI = ((Y & 0xFFF00000) >> 20u);
-
-    /* Care taken for table outside boundary */
-    /* Returns zero output when values are outside table boundary */
-    if(rI < 0 || rI > (S->numRows - 1) || cI < 0 || cI > (S->numCols - 1))
-    {
-      return (0);
-    }
-
-    /* 20 bits for the fractional part */
-    /* shift left xfract by 11 to keep 1.31 format */
-    xfract = (X & 0x000FFFFF) << 11u;
-
-    /* Read two nearest output values from the index */
-    x1 = pYData[(rI) + nCols * (cI)];
-    x2 = pYData[(rI) + nCols * (cI) + 1u];
-
-    /* 20 bits for the fractional part */
-    /* shift left yfract by 11 to keep 1.31 format */
-    yfract = (Y & 0x000FFFFF) << 11u;
-
-    /* Read two nearest output values from the index */
-    y1 = pYData[(rI) + nCols * (cI + 1)];
-    y2 = pYData[(rI) + nCols * (cI + 1) + 1u];
-
-    /* Calculation of x1 * (1-xfract ) * (1-yfract) and acc is in 3.29(q29) format */
-    out = ((q31_t) (((q63_t) x1 * (0x7FFFFFFF - xfract)) >> 32));
-    acc = ((q31_t) (((q63_t) out * (0x7FFFFFFF - yfract)) >> 32));
-
-    /* x2 * (xfract) * (1-yfract)  in 3.29(q29) and adding to acc */
-    out = ((q31_t) ((q63_t) x2 * (0x7FFFFFFF - yfract) >> 32));
-    acc += ((q31_t) ((q63_t) out * (xfract) >> 32));
-
-    /* y1 * (1 - xfract) * (yfract)  in 3.29(q29) and adding to acc */
-    out = ((q31_t) ((q63_t) y1 * (0x7FFFFFFF - xfract) >> 32));
-    acc += ((q31_t) ((q63_t) out * (yfract) >> 32));
-
-    /* y2 * (xfract) * (yfract)  in 3.29(q29) and adding to acc */
-    out = ((q31_t) ((q63_t) y2 * (xfract) >> 32));
-    acc += ((q31_t) ((q63_t) out * (yfract) >> 32));
-
-    /* Convert acc to 1.31(q31) format */
-    return (acc << 2u);
-
-  }
-
-  /**
-  * @brief  Q15 bilinear interpolation.
-  * @param[in,out] *S points to an instance of the interpolation structure.
-  * @param[in] X interpolation coordinate in 12.20 format.
-  * @param[in] Y interpolation coordinate in 12.20 format.
-  * @return out interpolated value.
-  */
-
-  __STATIC_INLINE q15_t arm_bilinear_interp_q15(
-  arm_bilinear_interp_instance_q15 * S,
-  q31_t X,
-  q31_t Y)
-  {
-    q63_t acc = 0;                               /* output */
-    q31_t out;                                   /* Temporary output */
-    q15_t x1, x2, y1, y2;                        /* Nearest output values */
-    q31_t xfract, yfract;                        /* X, Y fractional parts */
-    int32_t rI, cI;                              /* Row and column indices */
-    q15_t *pYData = S->pData;                    /* pointer to output table values */
-    uint32_t nCols = S->numCols;                 /* num of rows */
-
-    /* Input is in 12.20 format */
-    /* 12 bits for the table index */
-    /* Index value calculation */
-    rI = ((X & 0xFFF00000) >> 20);
-
-    /* Input is in 12.20 format */
-    /* 12 bits for the table index */
-    /* Index value calculation */
-    cI = ((Y & 0xFFF00000) >> 20);
-
-    /* Care taken for table outside boundary */
-    /* Returns zero output when values are outside table boundary */
-    if(rI < 0 || rI > (S->numRows - 1) || cI < 0 || cI > (S->numCols - 1))
-    {
-      return (0);
-    }
-
-    /* 20 bits for the fractional part */
-    /* xfract should be in 12.20 format */
-    xfract = (X & 0x000FFFFF);
-
-    /* Read two nearest output values from the index */
-    x1 = pYData[(rI) + nCols * (cI)];
-    x2 = pYData[(rI) + nCols * (cI) + 1u];
-
-
-    /* 20 bits for the fractional part */
-    /* yfract should be in 12.20 format */
-    yfract = (Y & 0x000FFFFF);
-
-    /* Read two nearest output values from the index */
-    y1 = pYData[(rI) + nCols * (cI + 1)];
-    y2 = pYData[(rI) + nCols * (cI + 1) + 1u];
-
-    /* Calculation of x1 * (1-xfract ) * (1-yfract) and acc is in 13.51 format */
-
-    /* x1 is in 1.15(q15), xfract in 12.20 format and out is in 13.35 format */
-    /* convert 13.35 to 13.31 by right shifting  and out is in 1.31 */
-    out = (q31_t) (((q63_t) x1 * (0xFFFFF - xfract)) >> 4u);
-    acc = ((q63_t) out * (0xFFFFF - yfract));
-
-    /* x2 * (xfract) * (1-yfract)  in 1.51 and adding to acc */
-    out = (q31_t) (((q63_t) x2 * (0xFFFFF - yfract)) >> 4u);
-    acc += ((q63_t) out * (xfract));
-
-    /* y1 * (1 - xfract) * (yfract)  in 1.51 and adding to acc */
-    out = (q31_t) (((q63_t) y1 * (0xFFFFF - xfract)) >> 4u);
-    acc += ((q63_t) out * (yfract));
-
-    /* y2 * (xfract) * (yfract)  in 1.51 and adding to acc */
-    out = (q31_t) (((q63_t) y2 * (xfract)) >> 4u);
-    acc += ((q63_t) out * (yfract));
-
-    /* acc is in 13.51 format and down shift acc by 36 times */
-    /* Convert out to 1.15 format */
-    return (acc >> 36);
-
-  }
-
-  /**
-  * @brief  Q7 bilinear interpolation.
-  * @param[in,out] *S points to an instance of the interpolation structure.
-  * @param[in] X interpolation coordinate in 12.20 format.
-  * @param[in] Y interpolation coordinate in 12.20 format.
-  * @return out interpolated value.
-  */
-
-  __STATIC_INLINE q7_t arm_bilinear_interp_q7(
-  arm_bilinear_interp_instance_q7 * S,
-  q31_t X,
-  q31_t Y)
-  {
-    q63_t acc = 0;                               /* output */
-    q31_t out;                                   /* Temporary output */
-    q31_t xfract, yfract;                        /* X, Y fractional parts */
-    q7_t x1, x2, y1, y2;                         /* Nearest output values */
-    int32_t rI, cI;                              /* Row and column indices */
-    q7_t *pYData = S->pData;                     /* pointer to output table values */
-    uint32_t nCols = S->numCols;                 /* num of rows */
-
-    /* Input is in 12.20 format */
-    /* 12 bits for the table index */
-    /* Index value calculation */
-    rI = ((X & 0xFFF00000) >> 20);
-
-    /* Input is in 12.20 format */
-    /* 12 bits for the table index */
-    /* Index value calculation */
-    cI = ((Y & 0xFFF00000) >> 20);
-
-    /* Care taken for table outside boundary */
-    /* Returns zero output when values are outside table boundary */
-    if(rI < 0 || rI > (S->numRows - 1) || cI < 0 || cI > (S->numCols - 1))
-    {
-      return (0);
-    }
-
-    /* 20 bits for the fractional part */
-    /* xfract should be in 12.20 format */
-    xfract = (X & 0x000FFFFF);
-
-    /* Read two nearest output values from the index */
-    x1 = pYData[(rI) + nCols * (cI)];
-    x2 = pYData[(rI) + nCols * (cI) + 1u];
-
-
-    /* 20 bits for the fractional part */
-    /* yfract should be in 12.20 format */
-    yfract = (Y & 0x000FFFFF);
-
-    /* Read two nearest output values from the index */
-    y1 = pYData[(rI) + nCols * (cI + 1)];
-    y2 = pYData[(rI) + nCols * (cI + 1) + 1u];
-
-    /* Calculation of x1 * (1-xfract ) * (1-yfract) and acc is in 16.47 format */
-    out = ((x1 * (0xFFFFF - xfract)));
-    acc = (((q63_t) out * (0xFFFFF - yfract)));
-
-    /* x2 * (xfract) * (1-yfract)  in 2.22 and adding to acc */
-    out = ((x2 * (0xFFFFF - yfract)));
-    acc += (((q63_t) out * (xfract)));
-
-    /* y1 * (1 - xfract) * (yfract)  in 2.22 and adding to acc */
-    out = ((y1 * (0xFFFFF - xfract)));
-    acc += (((q63_t) out * (yfract)));
-
-    /* y2 * (xfract) * (yfract)  in 2.22 and adding to acc */
-    out = ((y2 * (yfract)));
-    acc += (((q63_t) out * (xfract)));
-
-    /* acc in 16.47 format and down shift by 40 to convert to 1.7 format */
-    return (acc >> 40);
-
-  }
-
-  /**
-   * @} end of BilinearInterpolate group
-   */
-
-
-
-
-
-
-#ifdef	__cplusplus
-}
-#endif
-
-
-#endif /* _ARM_MATH_H */
-
-
-/**
- *
- * End of file.
- */
diff --git a/apps/mathlib/CMSIS/Include/core_cm3.h b/apps/mathlib/CMSIS/Include/core_cm3.h
deleted file mode 100644
index 733d6be53..000000000
--- a/apps/mathlib/CMSIS/Include/core_cm3.h
+++ /dev/null
@@ -1,1612 +0,0 @@
-/**************************************************************************//**
- * @file     core_cm3.h
- * @brief    CMSIS Cortex-M3 Core Peripheral Access Layer Header File
- * @version  V3.01
- * @date     22. March 2012
- *
- * @note
- * Copyright (C) 2009-2012 ARM Limited. All rights reserved.
- *
- * @par
- * ARM Limited (ARM) is supplying this software for use with Cortex-M
- * processor based microcontrollers.  This file can be freely distributed
- * within development tools that are supporting such ARM based processors.
- *
- * @par
- * THIS SOFTWARE IS PROVIDED "AS IS".  NO WARRANTIES, WHETHER EXPRESS, IMPLIED
- * OR STATUTORY, INCLUDING, BUT NOT LIMITED TO, IMPLIED WARRANTIES OF
- * MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE APPLY TO THIS SOFTWARE.
- * ARM SHALL NOT, IN ANY CIRCUMSTANCES, BE LIABLE FOR SPECIAL, INCIDENTAL, OR
- * CONSEQUENTIAL DAMAGES, FOR ANY REASON WHATSOEVER.
- *
- ******************************************************************************/
-#if defined ( __ICCARM__ )
- #pragma system_include  /* treat file as system include file for MISRA check */
-#endif
-
-#ifdef __cplusplus
- extern "C" {
-#endif
-
-#ifndef __CORE_CM3_H_GENERIC
-#define __CORE_CM3_H_GENERIC
-
-/** \page CMSIS_MISRA_Exceptions  MISRA-C:2004 Compliance Exceptions
-  CMSIS violates the following MISRA-C:2004 rules:
-
-   \li Required Rule 8.5, object/function definition in header file.

-     Function definitions in header files are used to allow 'inlining'.
-
-   \li Required Rule 18.4, declaration of union type or object of union type: '{...}'.

-     Unions are used for effective representation of core registers.
-
-   \li Advisory Rule 19.7, Function-like macro defined.

-     Function-like macros are used to allow more efficient code.
- */
-
-
-/*******************************************************************************
- *                 CMSIS definitions
- ******************************************************************************/
-/** \ingroup Cortex_M3
-  @{
- */
-
-/*  CMSIS CM3 definitions */
-#define __CM3_CMSIS_VERSION_MAIN  (0x03)                                   /*!< [31:16] CMSIS HAL main version   */
-#define __CM3_CMSIS_VERSION_SUB   (0x01)                                   /*!< [15:0]  CMSIS HAL sub version    */
-#define __CM3_CMSIS_VERSION       ((__CM3_CMSIS_VERSION_MAIN << 16) | \
-                                    __CM3_CMSIS_VERSION_SUB          )     /*!< CMSIS HAL version number         */
-
-#define __CORTEX_M                (0x03)                                   /*!< Cortex-M Core                    */
-
-
-#if   defined ( __CC_ARM )
-  #define __ASM            __asm                                      /*!< asm keyword for ARM Compiler          */
-  #define __INLINE         __inline                                   /*!< inline keyword for ARM Compiler       */
-  #define __STATIC_INLINE  static __inline
-
-#elif defined ( __ICCARM__ )
-  #define __ASM            __asm                                      /*!< asm keyword for IAR Compiler          */
-  #define __INLINE         inline                                     /*!< inline keyword for IAR Compiler. Only available in High optimization mode! */
-  #define __STATIC_INLINE  static inline
-
-#elif defined ( __TMS470__ )
-  #define __ASM            __asm                                      /*!< asm keyword for TI CCS Compiler       */
-  #define __STATIC_INLINE  static inline
-
-#elif defined ( __GNUC__ )
-  #define __ASM            __asm                                      /*!< asm keyword for GNU Compiler          */
-  #define __INLINE         inline                                     /*!< inline keyword for GNU Compiler       */
-  #define __STATIC_INLINE  static inline
-
-#elif defined ( __TASKING__ )
-  #define __ASM            __asm                                      /*!< asm keyword for TASKING Compiler      */
-  #define __INLINE         inline                                     /*!< inline keyword for TASKING Compiler   */
-  #define __STATIC_INLINE  static inline
-
-#endif
-
-/** __FPU_USED indicates whether an FPU is used or not. This core does not support an FPU at all
-*/
-#define __FPU_USED       0
-
-#if defined ( __CC_ARM )
-  #if defined __TARGET_FPU_VFP
-    #warning "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
-  #endif
-
-#elif defined ( __ICCARM__ )
-  #if defined __ARMVFP__
-    #warning "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
-  #endif
-
-#elif defined ( __TMS470__ )
-  #if defined __TI__VFP_SUPPORT____
-    #warning "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
-  #endif
-
-#elif defined ( __GNUC__ )
-  #if defined (__VFP_FP__) && !defined(__SOFTFP__)
-    #warning "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
-  #endif
-
-#elif defined ( __TASKING__ )
-  #if defined __FPU_VFP__
-    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
-  #endif
-#endif
-
-#include                       /* standard types definitions                      */
-#include "core_cmInstr.h"                /* Core Instruction Access                         */
-#include "core_cmFunc.h"                 /* Core Function Access                            */
-
-#endif /* __CORE_CM3_H_GENERIC */
-
-#ifndef __CMSIS_GENERIC
-
-#ifndef __CORE_CM3_H_DEPENDANT
-#define __CORE_CM3_H_DEPENDANT
-
-/* check device defines and use defaults */
-#if defined __CHECK_DEVICE_DEFINES
-  #ifndef __CM3_REV
-    #define __CM3_REV               0x0200
-    #warning "__CM3_REV not defined in device header file; using default!"
-  #endif
-
-  #ifndef __MPU_PRESENT
-    #define __MPU_PRESENT             0
-    #warning "__MPU_PRESENT not defined in device header file; using default!"
-  #endif
-
-  #ifndef __NVIC_PRIO_BITS
-    #define __NVIC_PRIO_BITS          4
-    #warning "__NVIC_PRIO_BITS not defined in device header file; using default!"
-  #endif
-
-  #ifndef __Vendor_SysTickConfig
-    #define __Vendor_SysTickConfig    0
-    #warning "__Vendor_SysTickConfig not defined in device header file; using default!"
-  #endif
-#endif
-
-/* IO definitions (access restrictions to peripheral registers) */
-/**
-    \defgroup CMSIS_glob_defs CMSIS Global Defines
-
-    IO Type Qualifiers are used
-    \li to specify the access to peripheral variables.
-    \li for automatic generation of peripheral register debug information.
-*/
-#ifdef __cplusplus
-  #define   __I     volatile             /*!< Defines 'read only' permissions                 */
-#else
-  #define   __I     volatile const       /*!< Defines 'read only' permissions                 */
-#endif
-#define     __O     volatile             /*!< Defines 'write only' permissions                */
-#define     __IO    volatile             /*!< Defines 'read / write' permissions              */
-
-/*@} end of group Cortex_M3 */
-
-
-
-/*******************************************************************************
- *                 Register Abstraction
-  Core Register contain:
-  - Core Register
-  - Core NVIC Register
-  - Core SCB Register
-  - Core SysTick Register
-  - Core Debug Register
-  - Core MPU Register
- ******************************************************************************/
-/** \defgroup CMSIS_core_register Defines and Type Definitions
-    \brief Type definitions and defines for Cortex-M processor based devices.
-*/
-
-/** \ingroup    CMSIS_core_register
-    \defgroup   CMSIS_CORE  Status and Control Registers
-    \brief  Core Register type definitions.
-  @{
- */
-
-/** \brief  Union type to access the Application Program Status Register (APSR).
- */
-typedef union
-{
-  struct
-  {
-#if (__CORTEX_M != 0x04)
-    uint32_t _reserved0:27;              /*!< bit:  0..26  Reserved                           */
-#else
-    uint32_t _reserved0:16;              /*!< bit:  0..15  Reserved                           */
-    uint32_t GE:4;                       /*!< bit: 16..19  Greater than or Equal flags        */
-    uint32_t _reserved1:7;               /*!< bit: 20..26  Reserved                           */
-#endif
-    uint32_t Q:1;                        /*!< bit:     27  Saturation condition flag          */
-    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag       */
-    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag          */
-    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag           */
-    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag       */
-  } b;                                   /*!< Structure used for bit  access                  */
-  uint32_t w;                            /*!< Type      used for word access                  */
-} APSR_Type;
-
-
-/** \brief  Union type to access the Interrupt Program Status Register (IPSR).
- */
-typedef union
-{
-  struct
-  {
-    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number                   */
-    uint32_t _reserved0:23;              /*!< bit:  9..31  Reserved                           */
-  } b;                                   /*!< Structure used for bit  access                  */
-  uint32_t w;                            /*!< Type      used for word access                  */
-} IPSR_Type;
-
-
-/** \brief  Union type to access the Special-Purpose Program Status Registers (xPSR).
- */
-typedef union
-{
-  struct
-  {
-    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number                   */
-#if (__CORTEX_M != 0x04)
-    uint32_t _reserved0:15;              /*!< bit:  9..23  Reserved                           */
-#else
-    uint32_t _reserved0:7;               /*!< bit:  9..15  Reserved                           */
-    uint32_t GE:4;                       /*!< bit: 16..19  Greater than or Equal flags        */
-    uint32_t _reserved1:4;               /*!< bit: 20..23  Reserved                           */
-#endif
-    uint32_t T:1;                        /*!< bit:     24  Thumb bit        (read 0)          */
-    uint32_t IT:2;                       /*!< bit: 25..26  saved IT state   (read 0)          */
-    uint32_t Q:1;                        /*!< bit:     27  Saturation condition flag          */
-    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag       */
-    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag          */
-    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag           */
-    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag       */
-  } b;                                   /*!< Structure used for bit  access                  */
-  uint32_t w;                            /*!< Type      used for word access                  */
-} xPSR_Type;
-
-
-/** \brief  Union type to access the Control Registers (CONTROL).
- */
-typedef union
-{
-  struct
-  {
-    uint32_t nPRIV:1;                    /*!< bit:      0  Execution privilege in Thread mode */
-    uint32_t SPSEL:1;                    /*!< bit:      1  Stack to be used                   */
-    uint32_t FPCA:1;                     /*!< bit:      2  FP extension active flag           */
-    uint32_t _reserved0:29;              /*!< bit:  3..31  Reserved                           */
-  } b;                                   /*!< Structure used for bit  access                  */
-  uint32_t w;                            /*!< Type      used for word access                  */
-} CONTROL_Type;
-
-/*@} end of group CMSIS_CORE */
-
-
-/** \ingroup    CMSIS_core_register
-    \defgroup   CMSIS_NVIC  Nested Vectored Interrupt Controller (NVIC)
-    \brief      Type definitions for the NVIC Registers
-  @{
- */
-
-/** \brief  Structure type to access the Nested Vectored Interrupt Controller (NVIC).
- */
-typedef struct
-{
-  __IO uint32_t ISER[8];                 /*!< Offset: 0x000 (R/W)  Interrupt Set Enable Register           */
-       uint32_t RESERVED0[24];
-  __IO uint32_t ICER[8];                 /*!< Offset: 0x080 (R/W)  Interrupt Clear Enable Register         */
-       uint32_t RSERVED1[24];
-  __IO uint32_t ISPR[8];                 /*!< Offset: 0x100 (R/W)  Interrupt Set Pending Register          */
-       uint32_t RESERVED2[24];
-  __IO uint32_t ICPR[8];                 /*!< Offset: 0x180 (R/W)  Interrupt Clear Pending Register        */
-       uint32_t RESERVED3[24];
-  __IO uint32_t IABR[8];                 /*!< Offset: 0x200 (R/W)  Interrupt Active bit Register           */
-       uint32_t RESERVED4[56];
-  __IO uint8_t  IP[240];                 /*!< Offset: 0x300 (R/W)  Interrupt Priority Register (8Bit wide) */
-       uint32_t RESERVED5[644];
-  __O  uint32_t STIR;                    /*!< Offset: 0xE00 ( /W)  Software Trigger Interrupt Register     */
-}  NVIC_Type;
-
-/* Software Triggered Interrupt Register Definitions */
-#define NVIC_STIR_INTID_Pos                 0                                          /*!< STIR: INTLINESNUM Position */
-#define NVIC_STIR_INTID_Msk                (0x1FFUL << NVIC_STIR_INTID_Pos)            /*!< STIR: INTLINESNUM Mask */
-
-/*@} end of group CMSIS_NVIC */
-
-
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_SCB     System Control Block (SCB)
-    \brief      Type definitions for the System Control Block Registers
-  @{
- */
-
-/** \brief  Structure type to access the System Control Block (SCB).
- */
-typedef struct
-{
-  __I  uint32_t CPUID;                   /*!< Offset: 0x000 (R/ )  CPUID Base Register                                   */
-  __IO uint32_t ICSR;                    /*!< Offset: 0x004 (R/W)  Interrupt Control and State Register                  */
-  __IO uint32_t VTOR;                    /*!< Offset: 0x008 (R/W)  Vector Table Offset Register                          */
-  __IO uint32_t AIRCR;                   /*!< Offset: 0x00C (R/W)  Application Interrupt and Reset Control Register      */
-  __IO uint32_t SCR;                     /*!< Offset: 0x010 (R/W)  System Control Register                               */
-  __IO uint32_t CCR;                     /*!< Offset: 0x014 (R/W)  Configuration Control Register                        */
-  __IO uint8_t  SHP[12];                 /*!< Offset: 0x018 (R/W)  System Handlers Priority Registers (4-7, 8-11, 12-15) */
-  __IO uint32_t SHCSR;                   /*!< Offset: 0x024 (R/W)  System Handler Control and State Register             */
-  __IO uint32_t CFSR;                    /*!< Offset: 0x028 (R/W)  Configurable Fault Status Register                    */
-  __IO uint32_t HFSR;                    /*!< Offset: 0x02C (R/W)  HardFault Status Register                             */
-  __IO uint32_t DFSR;                    /*!< Offset: 0x030 (R/W)  Debug Fault Status Register                           */
-  __IO uint32_t MMFAR;                   /*!< Offset: 0x034 (R/W)  MemManage Fault Address Register                      */
-  __IO uint32_t BFAR;                    /*!< Offset: 0x038 (R/W)  BusFault Address Register                             */
-  __IO uint32_t AFSR;                    /*!< Offset: 0x03C (R/W)  Auxiliary Fault Status Register                       */
-  __I  uint32_t PFR[2];                  /*!< Offset: 0x040 (R/ )  Processor Feature Register                            */
-  __I  uint32_t DFR;                     /*!< Offset: 0x048 (R/ )  Debug Feature Register                                */
-  __I  uint32_t ADR;                     /*!< Offset: 0x04C (R/ )  Auxiliary Feature Register                            */
-  __I  uint32_t MMFR[4];                 /*!< Offset: 0x050 (R/ )  Memory Model Feature Register                         */
-  __I  uint32_t ISAR[5];                 /*!< Offset: 0x060 (R/ )  Instruction Set Attributes Register                   */
-       uint32_t RESERVED0[5];
-  __IO uint32_t CPACR;                   /*!< Offset: 0x088 (R/W)  Coprocessor Access Control Register                   */
-} SCB_Type;
-
-/* SCB CPUID Register Definitions */
-#define SCB_CPUID_IMPLEMENTER_Pos          24                                             /*!< SCB CPUID: IMPLEMENTER Position */
-#define SCB_CPUID_IMPLEMENTER_Msk          (0xFFUL << SCB_CPUID_IMPLEMENTER_Pos)          /*!< SCB CPUID: IMPLEMENTER Mask */
-
-#define SCB_CPUID_VARIANT_Pos              20                                             /*!< SCB CPUID: VARIANT Position */
-#define SCB_CPUID_VARIANT_Msk              (0xFUL << SCB_CPUID_VARIANT_Pos)               /*!< SCB CPUID: VARIANT Mask */
-
-#define SCB_CPUID_ARCHITECTURE_Pos         16                                             /*!< SCB CPUID: ARCHITECTURE Position */
-#define SCB_CPUID_ARCHITECTURE_Msk         (0xFUL << SCB_CPUID_ARCHITECTURE_Pos)          /*!< SCB CPUID: ARCHITECTURE Mask */
-
-#define SCB_CPUID_PARTNO_Pos                4                                             /*!< SCB CPUID: PARTNO Position */
-#define SCB_CPUID_PARTNO_Msk               (0xFFFUL << SCB_CPUID_PARTNO_Pos)              /*!< SCB CPUID: PARTNO Mask */
-
-#define SCB_CPUID_REVISION_Pos              0                                             /*!< SCB CPUID: REVISION Position */
-#define SCB_CPUID_REVISION_Msk             (0xFUL << SCB_CPUID_REVISION_Pos)              /*!< SCB CPUID: REVISION Mask */
-
-/* SCB Interrupt Control State Register Definitions */
-#define SCB_ICSR_NMIPENDSET_Pos            31                                             /*!< SCB ICSR: NMIPENDSET Position */
-#define SCB_ICSR_NMIPENDSET_Msk            (1UL << SCB_ICSR_NMIPENDSET_Pos)               /*!< SCB ICSR: NMIPENDSET Mask */
-
-#define SCB_ICSR_PENDSVSET_Pos             28                                             /*!< SCB ICSR: PENDSVSET Position */
-#define SCB_ICSR_PENDSVSET_Msk             (1UL << SCB_ICSR_PENDSVSET_Pos)                /*!< SCB ICSR: PENDSVSET Mask */
-
-#define SCB_ICSR_PENDSVCLR_Pos             27                                             /*!< SCB ICSR: PENDSVCLR Position */
-#define SCB_ICSR_PENDSVCLR_Msk             (1UL << SCB_ICSR_PENDSVCLR_Pos)                /*!< SCB ICSR: PENDSVCLR Mask */
-
-#define SCB_ICSR_PENDSTSET_Pos             26                                             /*!< SCB ICSR: PENDSTSET Position */
-#define SCB_ICSR_PENDSTSET_Msk             (1UL << SCB_ICSR_PENDSTSET_Pos)                /*!< SCB ICSR: PENDSTSET Mask */
-
-#define SCB_ICSR_PENDSTCLR_Pos             25                                             /*!< SCB ICSR: PENDSTCLR Position */
-#define SCB_ICSR_PENDSTCLR_Msk             (1UL << SCB_ICSR_PENDSTCLR_Pos)                /*!< SCB ICSR: PENDSTCLR Mask */
-
-#define SCB_ICSR_ISRPREEMPT_Pos            23                                             /*!< SCB ICSR: ISRPREEMPT Position */
-#define SCB_ICSR_ISRPREEMPT_Msk            (1UL << SCB_ICSR_ISRPREEMPT_Pos)               /*!< SCB ICSR: ISRPREEMPT Mask */
-
-#define SCB_ICSR_ISRPENDING_Pos            22                                             /*!< SCB ICSR: ISRPENDING Position */
-#define SCB_ICSR_ISRPENDING_Msk            (1UL << SCB_ICSR_ISRPENDING_Pos)               /*!< SCB ICSR: ISRPENDING Mask */
-
-#define SCB_ICSR_VECTPENDING_Pos           12                                             /*!< SCB ICSR: VECTPENDING Position */
-#define SCB_ICSR_VECTPENDING_Msk           (0x1FFUL << SCB_ICSR_VECTPENDING_Pos)          /*!< SCB ICSR: VECTPENDING Mask */
-
-#define SCB_ICSR_RETTOBASE_Pos             11                                             /*!< SCB ICSR: RETTOBASE Position */
-#define SCB_ICSR_RETTOBASE_Msk             (1UL << SCB_ICSR_RETTOBASE_Pos)                /*!< SCB ICSR: RETTOBASE Mask */
-
-#define SCB_ICSR_VECTACTIVE_Pos             0                                             /*!< SCB ICSR: VECTACTIVE Position */
-#define SCB_ICSR_VECTACTIVE_Msk            (0x1FFUL << SCB_ICSR_VECTACTIVE_Pos)           /*!< SCB ICSR: VECTACTIVE Mask */
-
-/* SCB Vector Table Offset Register Definitions */
-#if (__CM3_REV < 0x0201)                   /* core r2p1 */
-#define SCB_VTOR_TBLBASE_Pos               29                                             /*!< SCB VTOR: TBLBASE Position */
-#define SCB_VTOR_TBLBASE_Msk               (1UL << SCB_VTOR_TBLBASE_Pos)                  /*!< SCB VTOR: TBLBASE Mask */
-
-#define SCB_VTOR_TBLOFF_Pos                 7                                             /*!< SCB VTOR: TBLOFF Position */
-#define SCB_VTOR_TBLOFF_Msk                (0x3FFFFFUL << SCB_VTOR_TBLOFF_Pos)            /*!< SCB VTOR: TBLOFF Mask */
-#else
-#define SCB_VTOR_TBLOFF_Pos                 7                                             /*!< SCB VTOR: TBLOFF Position */
-#define SCB_VTOR_TBLOFF_Msk                (0x1FFFFFFUL << SCB_VTOR_TBLOFF_Pos)           /*!< SCB VTOR: TBLOFF Mask */
-#endif
-
-/* SCB Application Interrupt and Reset Control Register Definitions */
-#define SCB_AIRCR_VECTKEY_Pos              16                                             /*!< SCB AIRCR: VECTKEY Position */
-#define SCB_AIRCR_VECTKEY_Msk              (0xFFFFUL << SCB_AIRCR_VECTKEY_Pos)            /*!< SCB AIRCR: VECTKEY Mask */
-
-#define SCB_AIRCR_VECTKEYSTAT_Pos          16                                             /*!< SCB AIRCR: VECTKEYSTAT Position */
-#define SCB_AIRCR_VECTKEYSTAT_Msk          (0xFFFFUL << SCB_AIRCR_VECTKEYSTAT_Pos)        /*!< SCB AIRCR: VECTKEYSTAT Mask */
-
-#define SCB_AIRCR_ENDIANESS_Pos            15                                             /*!< SCB AIRCR: ENDIANESS Position */
-#define SCB_AIRCR_ENDIANESS_Msk            (1UL << SCB_AIRCR_ENDIANESS_Pos)               /*!< SCB AIRCR: ENDIANESS Mask */
-
-#define SCB_AIRCR_PRIGROUP_Pos              8                                             /*!< SCB AIRCR: PRIGROUP Position */
-#define SCB_AIRCR_PRIGROUP_Msk             (7UL << SCB_AIRCR_PRIGROUP_Pos)                /*!< SCB AIRCR: PRIGROUP Mask */
-
-#define SCB_AIRCR_SYSRESETREQ_Pos           2                                             /*!< SCB AIRCR: SYSRESETREQ Position */
-#define SCB_AIRCR_SYSRESETREQ_Msk          (1UL << SCB_AIRCR_SYSRESETREQ_Pos)             /*!< SCB AIRCR: SYSRESETREQ Mask */
-
-#define SCB_AIRCR_VECTCLRACTIVE_Pos         1                                             /*!< SCB AIRCR: VECTCLRACTIVE Position */
-#define SCB_AIRCR_VECTCLRACTIVE_Msk        (1UL << SCB_AIRCR_VECTCLRACTIVE_Pos)           /*!< SCB AIRCR: VECTCLRACTIVE Mask */
-
-#define SCB_AIRCR_VECTRESET_Pos             0                                             /*!< SCB AIRCR: VECTRESET Position */
-#define SCB_AIRCR_VECTRESET_Msk            (1UL << SCB_AIRCR_VECTRESET_Pos)               /*!< SCB AIRCR: VECTRESET Mask */
-
-/* SCB System Control Register Definitions */
-#define SCB_SCR_SEVONPEND_Pos               4                                             /*!< SCB SCR: SEVONPEND Position */
-#define SCB_SCR_SEVONPEND_Msk              (1UL << SCB_SCR_SEVONPEND_Pos)                 /*!< SCB SCR: SEVONPEND Mask */
-
-#define SCB_SCR_SLEEPDEEP_Pos               2                                             /*!< SCB SCR: SLEEPDEEP Position */
-#define SCB_SCR_SLEEPDEEP_Msk              (1UL << SCB_SCR_SLEEPDEEP_Pos)                 /*!< SCB SCR: SLEEPDEEP Mask */
-
-#define SCB_SCR_SLEEPONEXIT_Pos             1                                             /*!< SCB SCR: SLEEPONEXIT Position */
-#define SCB_SCR_SLEEPONEXIT_Msk            (1UL << SCB_SCR_SLEEPONEXIT_Pos)               /*!< SCB SCR: SLEEPONEXIT Mask */
-
-/* SCB Configuration Control Register Definitions */
-#define SCB_CCR_STKALIGN_Pos                9                                             /*!< SCB CCR: STKALIGN Position */
-#define SCB_CCR_STKALIGN_Msk               (1UL << SCB_CCR_STKALIGN_Pos)                  /*!< SCB CCR: STKALIGN Mask */
-
-#define SCB_CCR_BFHFNMIGN_Pos               8                                             /*!< SCB CCR: BFHFNMIGN Position */
-#define SCB_CCR_BFHFNMIGN_Msk              (1UL << SCB_CCR_BFHFNMIGN_Pos)                 /*!< SCB CCR: BFHFNMIGN Mask */
-
-#define SCB_CCR_DIV_0_TRP_Pos               4                                             /*!< SCB CCR: DIV_0_TRP Position */
-#define SCB_CCR_DIV_0_TRP_Msk              (1UL << SCB_CCR_DIV_0_TRP_Pos)                 /*!< SCB CCR: DIV_0_TRP Mask */
-
-#define SCB_CCR_UNALIGN_TRP_Pos             3                                             /*!< SCB CCR: UNALIGN_TRP Position */
-#define SCB_CCR_UNALIGN_TRP_Msk            (1UL << SCB_CCR_UNALIGN_TRP_Pos)               /*!< SCB CCR: UNALIGN_TRP Mask */
-
-#define SCB_CCR_USERSETMPEND_Pos            1                                             /*!< SCB CCR: USERSETMPEND Position */
-#define SCB_CCR_USERSETMPEND_Msk           (1UL << SCB_CCR_USERSETMPEND_Pos)              /*!< SCB CCR: USERSETMPEND Mask */
-
-#define SCB_CCR_NONBASETHRDENA_Pos          0                                             /*!< SCB CCR: NONBASETHRDENA Position */
-#define SCB_CCR_NONBASETHRDENA_Msk         (1UL << SCB_CCR_NONBASETHRDENA_Pos)            /*!< SCB CCR: NONBASETHRDENA Mask */
-
-/* SCB System Handler Control and State Register Definitions */
-#define SCB_SHCSR_USGFAULTENA_Pos          18                                             /*!< SCB SHCSR: USGFAULTENA Position */
-#define SCB_SHCSR_USGFAULTENA_Msk          (1UL << SCB_SHCSR_USGFAULTENA_Pos)             /*!< SCB SHCSR: USGFAULTENA Mask */
-
-#define SCB_SHCSR_BUSFAULTENA_Pos          17                                             /*!< SCB SHCSR: BUSFAULTENA Position */
-#define SCB_SHCSR_BUSFAULTENA_Msk          (1UL << SCB_SHCSR_BUSFAULTENA_Pos)             /*!< SCB SHCSR: BUSFAULTENA Mask */
-
-#define SCB_SHCSR_MEMFAULTENA_Pos          16                                             /*!< SCB SHCSR: MEMFAULTENA Position */
-#define SCB_SHCSR_MEMFAULTENA_Msk          (1UL << SCB_SHCSR_MEMFAULTENA_Pos)             /*!< SCB SHCSR: MEMFAULTENA Mask */
-
-#define SCB_SHCSR_SVCALLPENDED_Pos         15                                             /*!< SCB SHCSR: SVCALLPENDED Position */
-#define SCB_SHCSR_SVCALLPENDED_Msk         (1UL << SCB_SHCSR_SVCALLPENDED_Pos)            /*!< SCB SHCSR: SVCALLPENDED Mask */
-
-#define SCB_SHCSR_BUSFAULTPENDED_Pos       14                                             /*!< SCB SHCSR: BUSFAULTPENDED Position */
-#define SCB_SHCSR_BUSFAULTPENDED_Msk       (1UL << SCB_SHCSR_BUSFAULTPENDED_Pos)          /*!< SCB SHCSR: BUSFAULTPENDED Mask */
-
-#define SCB_SHCSR_MEMFAULTPENDED_Pos       13                                             /*!< SCB SHCSR: MEMFAULTPENDED Position */
-#define SCB_SHCSR_MEMFAULTPENDED_Msk       (1UL << SCB_SHCSR_MEMFAULTPENDED_Pos)          /*!< SCB SHCSR: MEMFAULTPENDED Mask */
-
-#define SCB_SHCSR_USGFAULTPENDED_Pos       12                                             /*!< SCB SHCSR: USGFAULTPENDED Position */
-#define SCB_SHCSR_USGFAULTPENDED_Msk       (1UL << SCB_SHCSR_USGFAULTPENDED_Pos)          /*!< SCB SHCSR: USGFAULTPENDED Mask */
-
-#define SCB_SHCSR_SYSTICKACT_Pos           11                                             /*!< SCB SHCSR: SYSTICKACT Position */
-#define SCB_SHCSR_SYSTICKACT_Msk           (1UL << SCB_SHCSR_SYSTICKACT_Pos)              /*!< SCB SHCSR: SYSTICKACT Mask */
-
-#define SCB_SHCSR_PENDSVACT_Pos            10                                             /*!< SCB SHCSR: PENDSVACT Position */
-#define SCB_SHCSR_PENDSVACT_Msk            (1UL << SCB_SHCSR_PENDSVACT_Pos)               /*!< SCB SHCSR: PENDSVACT Mask */
-
-#define SCB_SHCSR_MONITORACT_Pos            8                                             /*!< SCB SHCSR: MONITORACT Position */
-#define SCB_SHCSR_MONITORACT_Msk           (1UL << SCB_SHCSR_MONITORACT_Pos)              /*!< SCB SHCSR: MONITORACT Mask */
-
-#define SCB_SHCSR_SVCALLACT_Pos             7                                             /*!< SCB SHCSR: SVCALLACT Position */
-#define SCB_SHCSR_SVCALLACT_Msk            (1UL << SCB_SHCSR_SVCALLACT_Pos)               /*!< SCB SHCSR: SVCALLACT Mask */
-
-#define SCB_SHCSR_USGFAULTACT_Pos           3                                             /*!< SCB SHCSR: USGFAULTACT Position */
-#define SCB_SHCSR_USGFAULTACT_Msk          (1UL << SCB_SHCSR_USGFAULTACT_Pos)             /*!< SCB SHCSR: USGFAULTACT Mask */
-
-#define SCB_SHCSR_BUSFAULTACT_Pos           1                                             /*!< SCB SHCSR: BUSFAULTACT Position */
-#define SCB_SHCSR_BUSFAULTACT_Msk          (1UL << SCB_SHCSR_BUSFAULTACT_Pos)             /*!< SCB SHCSR: BUSFAULTACT Mask */
-
-#define SCB_SHCSR_MEMFAULTACT_Pos           0                                             /*!< SCB SHCSR: MEMFAULTACT Position */
-#define SCB_SHCSR_MEMFAULTACT_Msk          (1UL << SCB_SHCSR_MEMFAULTACT_Pos)             /*!< SCB SHCSR: MEMFAULTACT Mask */
-
-/* SCB Configurable Fault Status Registers Definitions */
-#define SCB_CFSR_USGFAULTSR_Pos            16                                             /*!< SCB CFSR: Usage Fault Status Register Position */
-#define SCB_CFSR_USGFAULTSR_Msk            (0xFFFFUL << SCB_CFSR_USGFAULTSR_Pos)          /*!< SCB CFSR: Usage Fault Status Register Mask */
-
-#define SCB_CFSR_BUSFAULTSR_Pos             8                                             /*!< SCB CFSR: Bus Fault Status Register Position */
-#define SCB_CFSR_BUSFAULTSR_Msk            (0xFFUL << SCB_CFSR_BUSFAULTSR_Pos)            /*!< SCB CFSR: Bus Fault Status Register Mask */
-
-#define SCB_CFSR_MEMFAULTSR_Pos             0                                             /*!< SCB CFSR: Memory Manage Fault Status Register Position */
-#define SCB_CFSR_MEMFAULTSR_Msk            (0xFFUL << SCB_CFSR_MEMFAULTSR_Pos)            /*!< SCB CFSR: Memory Manage Fault Status Register Mask */
-
-/* SCB Hard Fault Status Registers Definitions */
-#define SCB_HFSR_DEBUGEVT_Pos              31                                             /*!< SCB HFSR: DEBUGEVT Position */
-#define SCB_HFSR_DEBUGEVT_Msk              (1UL << SCB_HFSR_DEBUGEVT_Pos)                 /*!< SCB HFSR: DEBUGEVT Mask */
-
-#define SCB_HFSR_FORCED_Pos                30                                             /*!< SCB HFSR: FORCED Position */
-#define SCB_HFSR_FORCED_Msk                (1UL << SCB_HFSR_FORCED_Pos)                   /*!< SCB HFSR: FORCED Mask */
-
-#define SCB_HFSR_VECTTBL_Pos                1                                             /*!< SCB HFSR: VECTTBL Position */
-#define SCB_HFSR_VECTTBL_Msk               (1UL << SCB_HFSR_VECTTBL_Pos)                  /*!< SCB HFSR: VECTTBL Mask */
-
-/* SCB Debug Fault Status Register Definitions */
-#define SCB_DFSR_EXTERNAL_Pos               4                                             /*!< SCB DFSR: EXTERNAL Position */
-#define SCB_DFSR_EXTERNAL_Msk              (1UL << SCB_DFSR_EXTERNAL_Pos)                 /*!< SCB DFSR: EXTERNAL Mask */
-
-#define SCB_DFSR_VCATCH_Pos                 3                                             /*!< SCB DFSR: VCATCH Position */
-#define SCB_DFSR_VCATCH_Msk                (1UL << SCB_DFSR_VCATCH_Pos)                   /*!< SCB DFSR: VCATCH Mask */
-
-#define SCB_DFSR_DWTTRAP_Pos                2                                             /*!< SCB DFSR: DWTTRAP Position */
-#define SCB_DFSR_DWTTRAP_Msk               (1UL << SCB_DFSR_DWTTRAP_Pos)                  /*!< SCB DFSR: DWTTRAP Mask */
-
-#define SCB_DFSR_BKPT_Pos                   1                                             /*!< SCB DFSR: BKPT Position */
-#define SCB_DFSR_BKPT_Msk                  (1UL << SCB_DFSR_BKPT_Pos)                     /*!< SCB DFSR: BKPT Mask */
-
-#define SCB_DFSR_HALTED_Pos                 0                                             /*!< SCB DFSR: HALTED Position */
-#define SCB_DFSR_HALTED_Msk                (1UL << SCB_DFSR_HALTED_Pos)                   /*!< SCB DFSR: HALTED Mask */
-
-/*@} end of group CMSIS_SCB */
-
-
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_SCnSCB System Controls not in SCB (SCnSCB)
-    \brief      Type definitions for the System Control and ID Register not in the SCB
-  @{
- */
-
-/** \brief  Structure type to access the System Control and ID Register not in the SCB.
- */
-typedef struct
-{
-       uint32_t RESERVED0[1];
-  __I  uint32_t ICTR;                    /*!< Offset: 0x004 (R/ )  Interrupt Controller Type Register      */
-#if ((defined __CM3_REV) && (__CM3_REV >= 0x200))
-  __IO uint32_t ACTLR;                   /*!< Offset: 0x008 (R/W)  Auxiliary Control Register      */
-#else
-       uint32_t RESERVED1[1];
-#endif
-} SCnSCB_Type;
-
-/* Interrupt Controller Type Register Definitions */
-#define SCnSCB_ICTR_INTLINESNUM_Pos         0                                          /*!< ICTR: INTLINESNUM Position */
-#define SCnSCB_ICTR_INTLINESNUM_Msk        (0xFUL << SCnSCB_ICTR_INTLINESNUM_Pos)      /*!< ICTR: INTLINESNUM Mask */
-
-/* Auxiliary Control Register Definitions */
-
-#define SCnSCB_ACTLR_DISFOLD_Pos            2                                          /*!< ACTLR: DISFOLD Position */
-#define SCnSCB_ACTLR_DISFOLD_Msk           (1UL << SCnSCB_ACTLR_DISFOLD_Pos)           /*!< ACTLR: DISFOLD Mask */
-
-#define SCnSCB_ACTLR_DISDEFWBUF_Pos         1                                          /*!< ACTLR: DISDEFWBUF Position */
-#define SCnSCB_ACTLR_DISDEFWBUF_Msk        (1UL << SCnSCB_ACTLR_DISDEFWBUF_Pos)        /*!< ACTLR: DISDEFWBUF Mask */
-
-#define SCnSCB_ACTLR_DISMCYCINT_Pos         0                                          /*!< ACTLR: DISMCYCINT Position */
-#define SCnSCB_ACTLR_DISMCYCINT_Msk        (1UL << SCnSCB_ACTLR_DISMCYCINT_Pos)        /*!< ACTLR: DISMCYCINT Mask */
-
-/*@} end of group CMSIS_SCnotSCB */
-
-
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_SysTick     System Tick Timer (SysTick)
-    \brief      Type definitions for the System Timer Registers.
-  @{
- */
-
-/** \brief  Structure type to access the System Timer (SysTick).
- */
-typedef struct
-{
-  __IO uint32_t CTRL;                    /*!< Offset: 0x000 (R/W)  SysTick Control and Status Register */
-  __IO uint32_t LOAD;                    /*!< Offset: 0x004 (R/W)  SysTick Reload Value Register       */
-  __IO uint32_t VAL;                     /*!< Offset: 0x008 (R/W)  SysTick Current Value Register      */
-  __I  uint32_t CALIB;                   /*!< Offset: 0x00C (R/ )  SysTick Calibration Register        */
-} SysTick_Type;
-
-/* SysTick Control / Status Register Definitions */
-#define SysTick_CTRL_COUNTFLAG_Pos         16                                             /*!< SysTick CTRL: COUNTFLAG Position */
-#define SysTick_CTRL_COUNTFLAG_Msk         (1UL << SysTick_CTRL_COUNTFLAG_Pos)            /*!< SysTick CTRL: COUNTFLAG Mask */
-
-#define SysTick_CTRL_CLKSOURCE_Pos          2                                             /*!< SysTick CTRL: CLKSOURCE Position */
-#define SysTick_CTRL_CLKSOURCE_Msk         (1UL << SysTick_CTRL_CLKSOURCE_Pos)            /*!< SysTick CTRL: CLKSOURCE Mask */
-
-#define SysTick_CTRL_TICKINT_Pos            1                                             /*!< SysTick CTRL: TICKINT Position */
-#define SysTick_CTRL_TICKINT_Msk           (1UL << SysTick_CTRL_TICKINT_Pos)              /*!< SysTick CTRL: TICKINT Mask */
-
-#define SysTick_CTRL_ENABLE_Pos             0                                             /*!< SysTick CTRL: ENABLE Position */
-#define SysTick_CTRL_ENABLE_Msk            (1UL << SysTick_CTRL_ENABLE_Pos)               /*!< SysTick CTRL: ENABLE Mask */
-
-/* SysTick Reload Register Definitions */
-#define SysTick_LOAD_RELOAD_Pos             0                                             /*!< SysTick LOAD: RELOAD Position */
-#define SysTick_LOAD_RELOAD_Msk            (0xFFFFFFUL << SysTick_LOAD_RELOAD_Pos)        /*!< SysTick LOAD: RELOAD Mask */
-
-/* SysTick Current Register Definitions */
-#define SysTick_VAL_CURRENT_Pos             0                                             /*!< SysTick VAL: CURRENT Position */
-#define SysTick_VAL_CURRENT_Msk            (0xFFFFFFUL << SysTick_VAL_CURRENT_Pos)        /*!< SysTick VAL: CURRENT Mask */
-
-/* SysTick Calibration Register Definitions */
-#define SysTick_CALIB_NOREF_Pos            31                                             /*!< SysTick CALIB: NOREF Position */
-#define SysTick_CALIB_NOREF_Msk            (1UL << SysTick_CALIB_NOREF_Pos)               /*!< SysTick CALIB: NOREF Mask */
-
-#define SysTick_CALIB_SKEW_Pos             30                                             /*!< SysTick CALIB: SKEW Position */
-#define SysTick_CALIB_SKEW_Msk             (1UL << SysTick_CALIB_SKEW_Pos)                /*!< SysTick CALIB: SKEW Mask */
-
-#define SysTick_CALIB_TENMS_Pos             0                                             /*!< SysTick CALIB: TENMS Position */
-#define SysTick_CALIB_TENMS_Msk            (0xFFFFFFUL << SysTick_VAL_CURRENT_Pos)        /*!< SysTick CALIB: TENMS Mask */
-
-/*@} end of group CMSIS_SysTick */
-
-
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_ITM     Instrumentation Trace Macrocell (ITM)
-    \brief      Type definitions for the Instrumentation Trace Macrocell (ITM)
-  @{
- */
-
-/** \brief  Structure type to access the Instrumentation Trace Macrocell Register (ITM).
- */
-typedef struct
-{
-  __O  union
-  {
-    __O  uint8_t    u8;                  /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 8-bit                   */
-    __O  uint16_t   u16;                 /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 16-bit                  */
-    __O  uint32_t   u32;                 /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 32-bit                  */
-  }  PORT [32];                          /*!< Offset: 0x000 ( /W)  ITM Stimulus Port Registers               */
-       uint32_t RESERVED0[864];
-  __IO uint32_t TER;                     /*!< Offset: 0xE00 (R/W)  ITM Trace Enable Register                 */
-       uint32_t RESERVED1[15];
-  __IO uint32_t TPR;                     /*!< Offset: 0xE40 (R/W)  ITM Trace Privilege Register              */
-       uint32_t RESERVED2[15];
-  __IO uint32_t TCR;                     /*!< Offset: 0xE80 (R/W)  ITM Trace Control Register                */
-       uint32_t RESERVED3[29];                                  
-  __O  uint32_t IWR;                     /*!< Offset: 0xEF8 ( /W)  ITM Integration Write Register            */
-  __I  uint32_t IRR;                     /*!< Offset: 0xEFC (R/ )  ITM Integration Read Register             */
-  __IO uint32_t IMCR;                    /*!< Offset: 0xF00 (R/W)  ITM Integration Mode Control Register     */
-       uint32_t RESERVED4[43];                                  
-  __O  uint32_t LAR;                     /*!< Offset: 0xFB0 ( /W)  ITM Lock Access Register                  */
-  __I  uint32_t LSR;                     /*!< Offset: 0xFB4 (R/ )  ITM Lock Status Register                  */
-       uint32_t RESERVED5[6];                                   
-  __I  uint32_t PID4;                    /*!< Offset: 0xFD0 (R/ )  ITM Peripheral Identification Register #4 */
-  __I  uint32_t PID5;                    /*!< Offset: 0xFD4 (R/ )  ITM Peripheral Identification Register #5 */
-  __I  uint32_t PID6;                    /*!< Offset: 0xFD8 (R/ )  ITM Peripheral Identification Register #6 */
-  __I  uint32_t PID7;                    /*!< Offset: 0xFDC (R/ )  ITM Peripheral Identification Register #7 */
-  __I  uint32_t PID0;                    /*!< Offset: 0xFE0 (R/ )  ITM Peripheral Identification Register #0 */
-  __I  uint32_t PID1;                    /*!< Offset: 0xFE4 (R/ )  ITM Peripheral Identification Register #1 */
-  __I  uint32_t PID2;                    /*!< Offset: 0xFE8 (R/ )  ITM Peripheral Identification Register #2 */
-  __I  uint32_t PID3;                    /*!< Offset: 0xFEC (R/ )  ITM Peripheral Identification Register #3 */
-  __I  uint32_t CID0;                    /*!< Offset: 0xFF0 (R/ )  ITM Component  Identification Register #0 */
-  __I  uint32_t CID1;                    /*!< Offset: 0xFF4 (R/ )  ITM Component  Identification Register #1 */
-  __I  uint32_t CID2;                    /*!< Offset: 0xFF8 (R/ )  ITM Component  Identification Register #2 */
-  __I  uint32_t CID3;                    /*!< Offset: 0xFFC (R/ )  ITM Component  Identification Register #3 */
-} ITM_Type;
-
-/* ITM Trace Privilege Register Definitions */
-#define ITM_TPR_PRIVMASK_Pos                0                                             /*!< ITM TPR: PRIVMASK Position */
-#define ITM_TPR_PRIVMASK_Msk               (0xFUL << ITM_TPR_PRIVMASK_Pos)                /*!< ITM TPR: PRIVMASK Mask */
-
-/* ITM Trace Control Register Definitions */
-#define ITM_TCR_BUSY_Pos                   23                                             /*!< ITM TCR: BUSY Position */
-#define ITM_TCR_BUSY_Msk                   (1UL << ITM_TCR_BUSY_Pos)                      /*!< ITM TCR: BUSY Mask */
-
-#define ITM_TCR_TraceBusID_Pos             16                                             /*!< ITM TCR: ATBID Position */
-#define ITM_TCR_TraceBusID_Msk             (0x7FUL << ITM_TCR_TraceBusID_Pos)             /*!< ITM TCR: ATBID Mask */
-
-#define ITM_TCR_GTSFREQ_Pos                10                                             /*!< ITM TCR: Global timestamp frequency Position */
-#define ITM_TCR_GTSFREQ_Msk                (3UL << ITM_TCR_GTSFREQ_Pos)                   /*!< ITM TCR: Global timestamp frequency Mask */
-
-#define ITM_TCR_TSPrescale_Pos              8                                             /*!< ITM TCR: TSPrescale Position */
-#define ITM_TCR_TSPrescale_Msk             (3UL << ITM_TCR_TSPrescale_Pos)                /*!< ITM TCR: TSPrescale Mask */
-
-#define ITM_TCR_SWOENA_Pos                  4                                             /*!< ITM TCR: SWOENA Position */
-#define ITM_TCR_SWOENA_Msk                 (1UL << ITM_TCR_SWOENA_Pos)                    /*!< ITM TCR: SWOENA Mask */
-
-#define ITM_TCR_DWTENA_Pos                  3                                             /*!< ITM TCR: DWTENA Position */
-#define ITM_TCR_DWTENA_Msk                 (1UL << ITM_TCR_DWTENA_Pos)                    /*!< ITM TCR: DWTENA Mask */
-
-#define ITM_TCR_SYNCENA_Pos                 2                                             /*!< ITM TCR: SYNCENA Position */
-#define ITM_TCR_SYNCENA_Msk                (1UL << ITM_TCR_SYNCENA_Pos)                   /*!< ITM TCR: SYNCENA Mask */
-
-#define ITM_TCR_TSENA_Pos                   1                                             /*!< ITM TCR: TSENA Position */
-#define ITM_TCR_TSENA_Msk                  (1UL << ITM_TCR_TSENA_Pos)                     /*!< ITM TCR: TSENA Mask */
-
-#define ITM_TCR_ITMENA_Pos                  0                                             /*!< ITM TCR: ITM Enable bit Position */
-#define ITM_TCR_ITMENA_Msk                 (1UL << ITM_TCR_ITMENA_Pos)                    /*!< ITM TCR: ITM Enable bit Mask */
-
-/* ITM Integration Write Register Definitions */
-#define ITM_IWR_ATVALIDM_Pos                0                                             /*!< ITM IWR: ATVALIDM Position */
-#define ITM_IWR_ATVALIDM_Msk               (1UL << ITM_IWR_ATVALIDM_Pos)                  /*!< ITM IWR: ATVALIDM Mask */
-
-/* ITM Integration Read Register Definitions */
-#define ITM_IRR_ATREADYM_Pos                0                                             /*!< ITM IRR: ATREADYM Position */
-#define ITM_IRR_ATREADYM_Msk               (1UL << ITM_IRR_ATREADYM_Pos)                  /*!< ITM IRR: ATREADYM Mask */
-
-/* ITM Integration Mode Control Register Definitions */
-#define ITM_IMCR_INTEGRATION_Pos            0                                             /*!< ITM IMCR: INTEGRATION Position */
-#define ITM_IMCR_INTEGRATION_Msk           (1UL << ITM_IMCR_INTEGRATION_Pos)              /*!< ITM IMCR: INTEGRATION Mask */
-
-/* ITM Lock Status Register Definitions */
-#define ITM_LSR_ByteAcc_Pos                 2                                             /*!< ITM LSR: ByteAcc Position */
-#define ITM_LSR_ByteAcc_Msk                (1UL << ITM_LSR_ByteAcc_Pos)                   /*!< ITM LSR: ByteAcc Mask */
-
-#define ITM_LSR_Access_Pos                  1                                             /*!< ITM LSR: Access Position */
-#define ITM_LSR_Access_Msk                 (1UL << ITM_LSR_Access_Pos)                    /*!< ITM LSR: Access Mask */
-
-#define ITM_LSR_Present_Pos                 0                                             /*!< ITM LSR: Present Position */
-#define ITM_LSR_Present_Msk                (1UL << ITM_LSR_Present_Pos)                   /*!< ITM LSR: Present Mask */
-
-/*@}*/ /* end of group CMSIS_ITM */
-
-
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_DWT     Data Watchpoint and Trace (DWT)
-    \brief      Type definitions for the Data Watchpoint and Trace (DWT)
-  @{
- */
-
-/** \brief  Structure type to access the Data Watchpoint and Trace Register (DWT).
- */
-typedef struct
-{
-  __IO uint32_t CTRL;                    /*!< Offset: 0x000 (R/W)  Control Register                          */
-  __IO uint32_t CYCCNT;                  /*!< Offset: 0x004 (R/W)  Cycle Count Register                      */
-  __IO uint32_t CPICNT;                  /*!< Offset: 0x008 (R/W)  CPI Count Register                        */
-  __IO uint32_t EXCCNT;                  /*!< Offset: 0x00C (R/W)  Exception Overhead Count Register         */
-  __IO uint32_t SLEEPCNT;                /*!< Offset: 0x010 (R/W)  Sleep Count Register                      */
-  __IO uint32_t LSUCNT;                  /*!< Offset: 0x014 (R/W)  LSU Count Register                        */
-  __IO uint32_t FOLDCNT;                 /*!< Offset: 0x018 (R/W)  Folded-instruction Count Register         */
-  __I  uint32_t PCSR;                    /*!< Offset: 0x01C (R/ )  Program Counter Sample Register           */
-  __IO uint32_t COMP0;                   /*!< Offset: 0x020 (R/W)  Comparator Register 0                     */
-  __IO uint32_t MASK0;                   /*!< Offset: 0x024 (R/W)  Mask Register 0                           */
-  __IO uint32_t FUNCTION0;               /*!< Offset: 0x028 (R/W)  Function Register 0                       */
-       uint32_t RESERVED0[1];
-  __IO uint32_t COMP1;                   /*!< Offset: 0x030 (R/W)  Comparator Register 1                     */
-  __IO uint32_t MASK1;                   /*!< Offset: 0x034 (R/W)  Mask Register 1                           */
-  __IO uint32_t FUNCTION1;               /*!< Offset: 0x038 (R/W)  Function Register 1                       */
-       uint32_t RESERVED1[1];
-  __IO uint32_t COMP2;                   /*!< Offset: 0x040 (R/W)  Comparator Register 2                     */
-  __IO uint32_t MASK2;                   /*!< Offset: 0x044 (R/W)  Mask Register 2                           */
-  __IO uint32_t FUNCTION2;               /*!< Offset: 0x048 (R/W)  Function Register 2                       */
-       uint32_t RESERVED2[1];
-  __IO uint32_t COMP3;                   /*!< Offset: 0x050 (R/W)  Comparator Register 3                     */
-  __IO uint32_t MASK3;                   /*!< Offset: 0x054 (R/W)  Mask Register 3                           */
-  __IO uint32_t FUNCTION3;               /*!< Offset: 0x058 (R/W)  Function Register 3                       */
-} DWT_Type;
-
-/* DWT Control Register Definitions */
-#define DWT_CTRL_NUMCOMP_Pos               28                                          /*!< DWT CTRL: NUMCOMP Position */
-#define DWT_CTRL_NUMCOMP_Msk               (0xFUL << DWT_CTRL_NUMCOMP_Pos)             /*!< DWT CTRL: NUMCOMP Mask */
-
-#define DWT_CTRL_NOTRCPKT_Pos              27                                          /*!< DWT CTRL: NOTRCPKT Position */
-#define DWT_CTRL_NOTRCPKT_Msk              (0x1UL << DWT_CTRL_NOTRCPKT_Pos)            /*!< DWT CTRL: NOTRCPKT Mask */
-
-#define DWT_CTRL_NOEXTTRIG_Pos             26                                          /*!< DWT CTRL: NOEXTTRIG Position */
-#define DWT_CTRL_NOEXTTRIG_Msk             (0x1UL << DWT_CTRL_NOEXTTRIG_Pos)           /*!< DWT CTRL: NOEXTTRIG Mask */
-
-#define DWT_CTRL_NOCYCCNT_Pos              25                                          /*!< DWT CTRL: NOCYCCNT Position */
-#define DWT_CTRL_NOCYCCNT_Msk              (0x1UL << DWT_CTRL_NOCYCCNT_Pos)            /*!< DWT CTRL: NOCYCCNT Mask */
-
-#define DWT_CTRL_NOPRFCNT_Pos              24                                          /*!< DWT CTRL: NOPRFCNT Position */
-#define DWT_CTRL_NOPRFCNT_Msk              (0x1UL << DWT_CTRL_NOPRFCNT_Pos)            /*!< DWT CTRL: NOPRFCNT Mask */
-
-#define DWT_CTRL_CYCEVTENA_Pos             22                                          /*!< DWT CTRL: CYCEVTENA Position */
-#define DWT_CTRL_CYCEVTENA_Msk             (0x1UL << DWT_CTRL_CYCEVTENA_Pos)           /*!< DWT CTRL: CYCEVTENA Mask */
-
-#define DWT_CTRL_FOLDEVTENA_Pos            21                                          /*!< DWT CTRL: FOLDEVTENA Position */
-#define DWT_CTRL_FOLDEVTENA_Msk            (0x1UL << DWT_CTRL_FOLDEVTENA_Pos)          /*!< DWT CTRL: FOLDEVTENA Mask */
-
-#define DWT_CTRL_LSUEVTENA_Pos             20                                          /*!< DWT CTRL: LSUEVTENA Position */
-#define DWT_CTRL_LSUEVTENA_Msk             (0x1UL << DWT_CTRL_LSUEVTENA_Pos)           /*!< DWT CTRL: LSUEVTENA Mask */
-
-#define DWT_CTRL_SLEEPEVTENA_Pos           19                                          /*!< DWT CTRL: SLEEPEVTENA Position */
-#define DWT_CTRL_SLEEPEVTENA_Msk           (0x1UL << DWT_CTRL_SLEEPEVTENA_Pos)         /*!< DWT CTRL: SLEEPEVTENA Mask */
-
-#define DWT_CTRL_EXCEVTENA_Pos             18                                          /*!< DWT CTRL: EXCEVTENA Position */
-#define DWT_CTRL_EXCEVTENA_Msk             (0x1UL << DWT_CTRL_EXCEVTENA_Pos)           /*!< DWT CTRL: EXCEVTENA Mask */
-
-#define DWT_CTRL_CPIEVTENA_Pos             17                                          /*!< DWT CTRL: CPIEVTENA Position */
-#define DWT_CTRL_CPIEVTENA_Msk             (0x1UL << DWT_CTRL_CPIEVTENA_Pos)           /*!< DWT CTRL: CPIEVTENA Mask */
-
-#define DWT_CTRL_EXCTRCENA_Pos             16                                          /*!< DWT CTRL: EXCTRCENA Position */
-#define DWT_CTRL_EXCTRCENA_Msk             (0x1UL << DWT_CTRL_EXCTRCENA_Pos)           /*!< DWT CTRL: EXCTRCENA Mask */
-
-#define DWT_CTRL_PCSAMPLENA_Pos            12                                          /*!< DWT CTRL: PCSAMPLENA Position */
-#define DWT_CTRL_PCSAMPLENA_Msk            (0x1UL << DWT_CTRL_PCSAMPLENA_Pos)          /*!< DWT CTRL: PCSAMPLENA Mask */
-
-#define DWT_CTRL_SYNCTAP_Pos               10                                          /*!< DWT CTRL: SYNCTAP Position */
-#define DWT_CTRL_SYNCTAP_Msk               (0x3UL << DWT_CTRL_SYNCTAP_Pos)             /*!< DWT CTRL: SYNCTAP Mask */
-
-#define DWT_CTRL_CYCTAP_Pos                 9                                          /*!< DWT CTRL: CYCTAP Position */
-#define DWT_CTRL_CYCTAP_Msk                (0x1UL << DWT_CTRL_CYCTAP_Pos)              /*!< DWT CTRL: CYCTAP Mask */
-
-#define DWT_CTRL_POSTINIT_Pos               5                                          /*!< DWT CTRL: POSTINIT Position */
-#define DWT_CTRL_POSTINIT_Msk              (0xFUL << DWT_CTRL_POSTINIT_Pos)            /*!< DWT CTRL: POSTINIT Mask */
-
-#define DWT_CTRL_POSTPRESET_Pos             1                                          /*!< DWT CTRL: POSTPRESET Position */
-#define DWT_CTRL_POSTPRESET_Msk            (0xFUL << DWT_CTRL_POSTPRESET_Pos)          /*!< DWT CTRL: POSTPRESET Mask */
-
-#define DWT_CTRL_CYCCNTENA_Pos              0                                          /*!< DWT CTRL: CYCCNTENA Position */
-#define DWT_CTRL_CYCCNTENA_Msk             (0x1UL << DWT_CTRL_CYCCNTENA_Pos)           /*!< DWT CTRL: CYCCNTENA Mask */
-
-/* DWT CPI Count Register Definitions */
-#define DWT_CPICNT_CPICNT_Pos               0                                          /*!< DWT CPICNT: CPICNT Position */
-#define DWT_CPICNT_CPICNT_Msk              (0xFFUL << DWT_CPICNT_CPICNT_Pos)           /*!< DWT CPICNT: CPICNT Mask */
-
-/* DWT Exception Overhead Count Register Definitions */
-#define DWT_EXCCNT_EXCCNT_Pos               0                                          /*!< DWT EXCCNT: EXCCNT Position */
-#define DWT_EXCCNT_EXCCNT_Msk              (0xFFUL << DWT_EXCCNT_EXCCNT_Pos)           /*!< DWT EXCCNT: EXCCNT Mask */
-
-/* DWT Sleep Count Register Definitions */
-#define DWT_SLEEPCNT_SLEEPCNT_Pos           0                                          /*!< DWT SLEEPCNT: SLEEPCNT Position */
-#define DWT_SLEEPCNT_SLEEPCNT_Msk          (0xFFUL << DWT_SLEEPCNT_SLEEPCNT_Pos)       /*!< DWT SLEEPCNT: SLEEPCNT Mask */
-
-/* DWT LSU Count Register Definitions */
-#define DWT_LSUCNT_LSUCNT_Pos               0                                          /*!< DWT LSUCNT: LSUCNT Position */
-#define DWT_LSUCNT_LSUCNT_Msk              (0xFFUL << DWT_LSUCNT_LSUCNT_Pos)           /*!< DWT LSUCNT: LSUCNT Mask */
-
-/* DWT Folded-instruction Count Register Definitions */
-#define DWT_FOLDCNT_FOLDCNT_Pos             0                                          /*!< DWT FOLDCNT: FOLDCNT Position */
-#define DWT_FOLDCNT_FOLDCNT_Msk            (0xFFUL << DWT_FOLDCNT_FOLDCNT_Pos)         /*!< DWT FOLDCNT: FOLDCNT Mask */
-
-/* DWT Comparator Mask Register Definitions */
-#define DWT_MASK_MASK_Pos                   0                                          /*!< DWT MASK: MASK Position */
-#define DWT_MASK_MASK_Msk                  (0x1FUL << DWT_MASK_MASK_Pos)               /*!< DWT MASK: MASK Mask */
-
-/* DWT Comparator Function Register Definitions */
-#define DWT_FUNCTION_MATCHED_Pos           24                                          /*!< DWT FUNCTION: MATCHED Position */
-#define DWT_FUNCTION_MATCHED_Msk           (0x1UL << DWT_FUNCTION_MATCHED_Pos)         /*!< DWT FUNCTION: MATCHED Mask */
-
-#define DWT_FUNCTION_DATAVADDR1_Pos        16                                          /*!< DWT FUNCTION: DATAVADDR1 Position */
-#define DWT_FUNCTION_DATAVADDR1_Msk        (0xFUL << DWT_FUNCTION_DATAVADDR1_Pos)      /*!< DWT FUNCTION: DATAVADDR1 Mask */
-
-#define DWT_FUNCTION_DATAVADDR0_Pos        12                                          /*!< DWT FUNCTION: DATAVADDR0 Position */
-#define DWT_FUNCTION_DATAVADDR0_Msk        (0xFUL << DWT_FUNCTION_DATAVADDR0_Pos)      /*!< DWT FUNCTION: DATAVADDR0 Mask */
-
-#define DWT_FUNCTION_DATAVSIZE_Pos         10                                          /*!< DWT FUNCTION: DATAVSIZE Position */
-#define DWT_FUNCTION_DATAVSIZE_Msk         (0x3UL << DWT_FUNCTION_DATAVSIZE_Pos)       /*!< DWT FUNCTION: DATAVSIZE Mask */
-
-#define DWT_FUNCTION_LNK1ENA_Pos            9                                          /*!< DWT FUNCTION: LNK1ENA Position */
-#define DWT_FUNCTION_LNK1ENA_Msk           (0x1UL << DWT_FUNCTION_LNK1ENA_Pos)         /*!< DWT FUNCTION: LNK1ENA Mask */
-
-#define DWT_FUNCTION_DATAVMATCH_Pos         8                                          /*!< DWT FUNCTION: DATAVMATCH Position */
-#define DWT_FUNCTION_DATAVMATCH_Msk        (0x1UL << DWT_FUNCTION_DATAVMATCH_Pos)      /*!< DWT FUNCTION: DATAVMATCH Mask */
-
-#define DWT_FUNCTION_CYCMATCH_Pos           7                                          /*!< DWT FUNCTION: CYCMATCH Position */
-#define DWT_FUNCTION_CYCMATCH_Msk          (0x1UL << DWT_FUNCTION_CYCMATCH_Pos)        /*!< DWT FUNCTION: CYCMATCH Mask */
-
-#define DWT_FUNCTION_EMITRANGE_Pos          5                                          /*!< DWT FUNCTION: EMITRANGE Position */
-#define DWT_FUNCTION_EMITRANGE_Msk         (0x1UL << DWT_FUNCTION_EMITRANGE_Pos)       /*!< DWT FUNCTION: EMITRANGE Mask */
-
-#define DWT_FUNCTION_FUNCTION_Pos           0                                          /*!< DWT FUNCTION: FUNCTION Position */
-#define DWT_FUNCTION_FUNCTION_Msk          (0xFUL << DWT_FUNCTION_FUNCTION_Pos)        /*!< DWT FUNCTION: FUNCTION Mask */
-
-/*@}*/ /* end of group CMSIS_DWT */
-
-
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_TPI     Trace Port Interface (TPI)
-    \brief      Type definitions for the Trace Port Interface (TPI)
-  @{
- */
-
-/** \brief  Structure type to access the Trace Port Interface Register (TPI).
- */
-typedef struct
-{
-  __IO uint32_t SSPSR;                   /*!< Offset: 0x000 (R/ )  Supported Parallel Port Size Register     */
-  __IO uint32_t CSPSR;                   /*!< Offset: 0x004 (R/W)  Current Parallel Port Size Register */
-       uint32_t RESERVED0[2];
-  __IO uint32_t ACPR;                    /*!< Offset: 0x010 (R/W)  Asynchronous Clock Prescaler Register */
-       uint32_t RESERVED1[55];
-  __IO uint32_t SPPR;                    /*!< Offset: 0x0F0 (R/W)  Selected Pin Protocol Register */
-       uint32_t RESERVED2[131];
-  __I  uint32_t FFSR;                    /*!< Offset: 0x300 (R/ )  Formatter and Flush Status Register */
-  __IO uint32_t FFCR;                    /*!< Offset: 0x304 (R/W)  Formatter and Flush Control Register */
-  __I  uint32_t FSCR;                    /*!< Offset: 0x308 (R/ )  Formatter Synchronization Counter Register */
-       uint32_t RESERVED3[759];
-  __I  uint32_t TRIGGER;                 /*!< Offset: 0xEE8 (R/ )  TRIGGER */
-  __I  uint32_t FIFO0;                   /*!< Offset: 0xEEC (R/ )  Integration ETM Data */
-  __I  uint32_t ITATBCTR2;               /*!< Offset: 0xEF0 (R/ )  ITATBCTR2 */
-       uint32_t RESERVED4[1];
-  __I  uint32_t ITATBCTR0;               /*!< Offset: 0xEF8 (R/ )  ITATBCTR0 */
-  __I  uint32_t FIFO1;                   /*!< Offset: 0xEFC (R/ )  Integration ITM Data */
-  __IO uint32_t ITCTRL;                  /*!< Offset: 0xF00 (R/W)  Integration Mode Control */
-       uint32_t RESERVED5[39];
-  __IO uint32_t CLAIMSET;                /*!< Offset: 0xFA0 (R/W)  Claim tag set */
-  __IO uint32_t CLAIMCLR;                /*!< Offset: 0xFA4 (R/W)  Claim tag clear */
-       uint32_t RESERVED7[8];
-  __I  uint32_t DEVID;                   /*!< Offset: 0xFC8 (R/ )  TPIU_DEVID */
-  __I  uint32_t DEVTYPE;                 /*!< Offset: 0xFCC (R/ )  TPIU_DEVTYPE */
-} TPI_Type;
-
-/* TPI Asynchronous Clock Prescaler Register Definitions */
-#define TPI_ACPR_PRESCALER_Pos              0                                          /*!< TPI ACPR: PRESCALER Position */
-#define TPI_ACPR_PRESCALER_Msk             (0x1FFFUL << TPI_ACPR_PRESCALER_Pos)        /*!< TPI ACPR: PRESCALER Mask */
-
-/* TPI Selected Pin Protocol Register Definitions */
-#define TPI_SPPR_TXMODE_Pos                 0                                          /*!< TPI SPPR: TXMODE Position */
-#define TPI_SPPR_TXMODE_Msk                (0x3UL << TPI_SPPR_TXMODE_Pos)              /*!< TPI SPPR: TXMODE Mask */
-
-/* TPI Formatter and Flush Status Register Definitions */
-#define TPI_FFSR_FtNonStop_Pos              3                                          /*!< TPI FFSR: FtNonStop Position */
-#define TPI_FFSR_FtNonStop_Msk             (0x1UL << TPI_FFSR_FtNonStop_Pos)           /*!< TPI FFSR: FtNonStop Mask */
-
-#define TPI_FFSR_TCPresent_Pos              2                                          /*!< TPI FFSR: TCPresent Position */
-#define TPI_FFSR_TCPresent_Msk             (0x1UL << TPI_FFSR_TCPresent_Pos)           /*!< TPI FFSR: TCPresent Mask */
-
-#define TPI_FFSR_FtStopped_Pos              1                                          /*!< TPI FFSR: FtStopped Position */
-#define TPI_FFSR_FtStopped_Msk             (0x1UL << TPI_FFSR_FtStopped_Pos)           /*!< TPI FFSR: FtStopped Mask */
-
-#define TPI_FFSR_FlInProg_Pos               0                                          /*!< TPI FFSR: FlInProg Position */
-#define TPI_FFSR_FlInProg_Msk              (0x1UL << TPI_FFSR_FlInProg_Pos)            /*!< TPI FFSR: FlInProg Mask */
-
-/* TPI Formatter and Flush Control Register Definitions */
-#define TPI_FFCR_TrigIn_Pos                 8                                          /*!< TPI FFCR: TrigIn Position */
-#define TPI_FFCR_TrigIn_Msk                (0x1UL << TPI_FFCR_TrigIn_Pos)              /*!< TPI FFCR: TrigIn Mask */
-
-#define TPI_FFCR_EnFCont_Pos                1                                          /*!< TPI FFCR: EnFCont Position */
-#define TPI_FFCR_EnFCont_Msk               (0x1UL << TPI_FFCR_EnFCont_Pos)             /*!< TPI FFCR: EnFCont Mask */
-
-/* TPI TRIGGER Register Definitions */
-#define TPI_TRIGGER_TRIGGER_Pos             0                                          /*!< TPI TRIGGER: TRIGGER Position */
-#define TPI_TRIGGER_TRIGGER_Msk            (0x1UL << TPI_TRIGGER_TRIGGER_Pos)          /*!< TPI TRIGGER: TRIGGER Mask */
-
-/* TPI Integration ETM Data Register Definitions (FIFO0) */
-#define TPI_FIFO0_ITM_ATVALID_Pos          29                                          /*!< TPI FIFO0: ITM_ATVALID Position */
-#define TPI_FIFO0_ITM_ATVALID_Msk          (0x3UL << TPI_FIFO0_ITM_ATVALID_Pos)        /*!< TPI FIFO0: ITM_ATVALID Mask */
-
-#define TPI_FIFO0_ITM_bytecount_Pos        27                                          /*!< TPI FIFO0: ITM_bytecount Position */
-#define TPI_FIFO0_ITM_bytecount_Msk        (0x3UL << TPI_FIFO0_ITM_bytecount_Pos)      /*!< TPI FIFO0: ITM_bytecount Mask */
-
-#define TPI_FIFO0_ETM_ATVALID_Pos          26                                          /*!< TPI FIFO0: ETM_ATVALID Position */
-#define TPI_FIFO0_ETM_ATVALID_Msk          (0x3UL << TPI_FIFO0_ETM_ATVALID_Pos)        /*!< TPI FIFO0: ETM_ATVALID Mask */
-
-#define TPI_FIFO0_ETM_bytecount_Pos        24                                          /*!< TPI FIFO0: ETM_bytecount Position */
-#define TPI_FIFO0_ETM_bytecount_Msk        (0x3UL << TPI_FIFO0_ETM_bytecount_Pos)      /*!< TPI FIFO0: ETM_bytecount Mask */
-
-#define TPI_FIFO0_ETM2_Pos                 16                                          /*!< TPI FIFO0: ETM2 Position */
-#define TPI_FIFO0_ETM2_Msk                 (0xFFUL << TPI_FIFO0_ETM2_Pos)              /*!< TPI FIFO0: ETM2 Mask */
-
-#define TPI_FIFO0_ETM1_Pos                  8                                          /*!< TPI FIFO0: ETM1 Position */
-#define TPI_FIFO0_ETM1_Msk                 (0xFFUL << TPI_FIFO0_ETM1_Pos)              /*!< TPI FIFO0: ETM1 Mask */
-
-#define TPI_FIFO0_ETM0_Pos                  0                                          /*!< TPI FIFO0: ETM0 Position */
-#define TPI_FIFO0_ETM0_Msk                 (0xFFUL << TPI_FIFO0_ETM0_Pos)              /*!< TPI FIFO0: ETM0 Mask */
-
-/* TPI ITATBCTR2 Register Definitions */
-#define TPI_ITATBCTR2_ATREADY_Pos           0                                          /*!< TPI ITATBCTR2: ATREADY Position */
-#define TPI_ITATBCTR2_ATREADY_Msk          (0x1UL << TPI_ITATBCTR2_ATREADY_Pos)        /*!< TPI ITATBCTR2: ATREADY Mask */
-
-/* TPI Integration ITM Data Register Definitions (FIFO1) */
-#define TPI_FIFO1_ITM_ATVALID_Pos          29                                          /*!< TPI FIFO1: ITM_ATVALID Position */
-#define TPI_FIFO1_ITM_ATVALID_Msk          (0x3UL << TPI_FIFO1_ITM_ATVALID_Pos)        /*!< TPI FIFO1: ITM_ATVALID Mask */
-
-#define TPI_FIFO1_ITM_bytecount_Pos        27                                          /*!< TPI FIFO1: ITM_bytecount Position */
-#define TPI_FIFO1_ITM_bytecount_Msk        (0x3UL << TPI_FIFO1_ITM_bytecount_Pos)      /*!< TPI FIFO1: ITM_bytecount Mask */
-
-#define TPI_FIFO1_ETM_ATVALID_Pos          26                                          /*!< TPI FIFO1: ETM_ATVALID Position */
-#define TPI_FIFO1_ETM_ATVALID_Msk          (0x3UL << TPI_FIFO1_ETM_ATVALID_Pos)        /*!< TPI FIFO1: ETM_ATVALID Mask */
-
-#define TPI_FIFO1_ETM_bytecount_Pos        24                                          /*!< TPI FIFO1: ETM_bytecount Position */
-#define TPI_FIFO1_ETM_bytecount_Msk        (0x3UL << TPI_FIFO1_ETM_bytecount_Pos)      /*!< TPI FIFO1: ETM_bytecount Mask */
-
-#define TPI_FIFO1_ITM2_Pos                 16                                          /*!< TPI FIFO1: ITM2 Position */
-#define TPI_FIFO1_ITM2_Msk                 (0xFFUL << TPI_FIFO1_ITM2_Pos)              /*!< TPI FIFO1: ITM2 Mask */
-
-#define TPI_FIFO1_ITM1_Pos                  8                                          /*!< TPI FIFO1: ITM1 Position */
-#define TPI_FIFO1_ITM1_Msk                 (0xFFUL << TPI_FIFO1_ITM1_Pos)              /*!< TPI FIFO1: ITM1 Mask */
-
-#define TPI_FIFO1_ITM0_Pos                  0                                          /*!< TPI FIFO1: ITM0 Position */
-#define TPI_FIFO1_ITM0_Msk                 (0xFFUL << TPI_FIFO1_ITM0_Pos)              /*!< TPI FIFO1: ITM0 Mask */
-
-/* TPI ITATBCTR0 Register Definitions */
-#define TPI_ITATBCTR0_ATREADY_Pos           0                                          /*!< TPI ITATBCTR0: ATREADY Position */
-#define TPI_ITATBCTR0_ATREADY_Msk          (0x1UL << TPI_ITATBCTR0_ATREADY_Pos)        /*!< TPI ITATBCTR0: ATREADY Mask */
-
-/* TPI Integration Mode Control Register Definitions */
-#define TPI_ITCTRL_Mode_Pos                 0                                          /*!< TPI ITCTRL: Mode Position */
-#define TPI_ITCTRL_Mode_Msk                (0x1UL << TPI_ITCTRL_Mode_Pos)              /*!< TPI ITCTRL: Mode Mask */
-
-/* TPI DEVID Register Definitions */
-#define TPI_DEVID_NRZVALID_Pos             11                                          /*!< TPI DEVID: NRZVALID Position */
-#define TPI_DEVID_NRZVALID_Msk             (0x1UL << TPI_DEVID_NRZVALID_Pos)           /*!< TPI DEVID: NRZVALID Mask */
-
-#define TPI_DEVID_MANCVALID_Pos            10                                          /*!< TPI DEVID: MANCVALID Position */
-#define TPI_DEVID_MANCVALID_Msk            (0x1UL << TPI_DEVID_MANCVALID_Pos)          /*!< TPI DEVID: MANCVALID Mask */
-
-#define TPI_DEVID_PTINVALID_Pos             9                                          /*!< TPI DEVID: PTINVALID Position */
-#define TPI_DEVID_PTINVALID_Msk            (0x1UL << TPI_DEVID_PTINVALID_Pos)          /*!< TPI DEVID: PTINVALID Mask */
-
-#define TPI_DEVID_MinBufSz_Pos              6                                          /*!< TPI DEVID: MinBufSz Position */
-#define TPI_DEVID_MinBufSz_Msk             (0x7UL << TPI_DEVID_MinBufSz_Pos)           /*!< TPI DEVID: MinBufSz Mask */
-
-#define TPI_DEVID_AsynClkIn_Pos             5                                          /*!< TPI DEVID: AsynClkIn Position */
-#define TPI_DEVID_AsynClkIn_Msk            (0x1UL << TPI_DEVID_AsynClkIn_Pos)          /*!< TPI DEVID: AsynClkIn Mask */
-
-#define TPI_DEVID_NrTraceInput_Pos          0                                          /*!< TPI DEVID: NrTraceInput Position */
-#define TPI_DEVID_NrTraceInput_Msk         (0x1FUL << TPI_DEVID_NrTraceInput_Pos)      /*!< TPI DEVID: NrTraceInput Mask */
-
-/* TPI DEVTYPE Register Definitions */
-#define TPI_DEVTYPE_SubType_Pos             0                                          /*!< TPI DEVTYPE: SubType Position */
-#define TPI_DEVTYPE_SubType_Msk            (0xFUL << TPI_DEVTYPE_SubType_Pos)          /*!< TPI DEVTYPE: SubType Mask */
-
-#define TPI_DEVTYPE_MajorType_Pos           4                                          /*!< TPI DEVTYPE: MajorType Position */
-#define TPI_DEVTYPE_MajorType_Msk          (0xFUL << TPI_DEVTYPE_MajorType_Pos)        /*!< TPI DEVTYPE: MajorType Mask */
-
-/*@}*/ /* end of group CMSIS_TPI */
-
-
-#if (__MPU_PRESENT == 1)
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_MPU     Memory Protection Unit (MPU)
-    \brief      Type definitions for the Memory Protection Unit (MPU)
-  @{
- */
-
-/** \brief  Structure type to access the Memory Protection Unit (MPU).
- */
-typedef struct
-{
-  __I  uint32_t TYPE;                    /*!< Offset: 0x000 (R/ )  MPU Type Register                              */
-  __IO uint32_t CTRL;                    /*!< Offset: 0x004 (R/W)  MPU Control Register                           */
-  __IO uint32_t RNR;                     /*!< Offset: 0x008 (R/W)  MPU Region RNRber Register                     */
-  __IO uint32_t RBAR;                    /*!< Offset: 0x00C (R/W)  MPU Region Base Address Register               */
-  __IO uint32_t RASR;                    /*!< Offset: 0x010 (R/W)  MPU Region Attribute and Size Register         */
-  __IO uint32_t RBAR_A1;                 /*!< Offset: 0x014 (R/W)  MPU Alias 1 Region Base Address Register       */
-  __IO uint32_t RASR_A1;                 /*!< Offset: 0x018 (R/W)  MPU Alias 1 Region Attribute and Size Register */
-  __IO uint32_t RBAR_A2;                 /*!< Offset: 0x01C (R/W)  MPU Alias 2 Region Base Address Register       */
-  __IO uint32_t RASR_A2;                 /*!< Offset: 0x020 (R/W)  MPU Alias 2 Region Attribute and Size Register */
-  __IO uint32_t RBAR_A3;                 /*!< Offset: 0x024 (R/W)  MPU Alias 3 Region Base Address Register       */
-  __IO uint32_t RASR_A3;                 /*!< Offset: 0x028 (R/W)  MPU Alias 3 Region Attribute and Size Register */
-} MPU_Type;
-
-/* MPU Type Register */
-#define MPU_TYPE_IREGION_Pos               16                                             /*!< MPU TYPE: IREGION Position */
-#define MPU_TYPE_IREGION_Msk               (0xFFUL << MPU_TYPE_IREGION_Pos)               /*!< MPU TYPE: IREGION Mask */
-
-#define MPU_TYPE_DREGION_Pos                8                                             /*!< MPU TYPE: DREGION Position */
-#define MPU_TYPE_DREGION_Msk               (0xFFUL << MPU_TYPE_DREGION_Pos)               /*!< MPU TYPE: DREGION Mask */
-
-#define MPU_TYPE_SEPARATE_Pos               0                                             /*!< MPU TYPE: SEPARATE Position */
-#define MPU_TYPE_SEPARATE_Msk              (1UL << MPU_TYPE_SEPARATE_Pos)                 /*!< MPU TYPE: SEPARATE Mask */
-
-/* MPU Control Register */
-#define MPU_CTRL_PRIVDEFENA_Pos             2                                             /*!< MPU CTRL: PRIVDEFENA Position */
-#define MPU_CTRL_PRIVDEFENA_Msk            (1UL << MPU_CTRL_PRIVDEFENA_Pos)               /*!< MPU CTRL: PRIVDEFENA Mask */
-
-#define MPU_CTRL_HFNMIENA_Pos               1                                             /*!< MPU CTRL: HFNMIENA Position */
-#define MPU_CTRL_HFNMIENA_Msk              (1UL << MPU_CTRL_HFNMIENA_Pos)                 /*!< MPU CTRL: HFNMIENA Mask */
-
-#define MPU_CTRL_ENABLE_Pos                 0                                             /*!< MPU CTRL: ENABLE Position */
-#define MPU_CTRL_ENABLE_Msk                (1UL << MPU_CTRL_ENABLE_Pos)                   /*!< MPU CTRL: ENABLE Mask */
-
-/* MPU Region Number Register */
-#define MPU_RNR_REGION_Pos                  0                                             /*!< MPU RNR: REGION Position */
-#define MPU_RNR_REGION_Msk                 (0xFFUL << MPU_RNR_REGION_Pos)                 /*!< MPU RNR: REGION Mask */
-
-/* MPU Region Base Address Register */
-#define MPU_RBAR_ADDR_Pos                   5                                             /*!< MPU RBAR: ADDR Position */
-#define MPU_RBAR_ADDR_Msk                  (0x7FFFFFFUL << MPU_RBAR_ADDR_Pos)             /*!< MPU RBAR: ADDR Mask */
-
-#define MPU_RBAR_VALID_Pos                  4                                             /*!< MPU RBAR: VALID Position */
-#define MPU_RBAR_VALID_Msk                 (1UL << MPU_RBAR_VALID_Pos)                    /*!< MPU RBAR: VALID Mask */
-
-#define MPU_RBAR_REGION_Pos                 0                                             /*!< MPU RBAR: REGION Position */
-#define MPU_RBAR_REGION_Msk                (0xFUL << MPU_RBAR_REGION_Pos)                 /*!< MPU RBAR: REGION Mask */
-
-/* MPU Region Attribute and Size Register */
-#define MPU_RASR_ATTRS_Pos                 16                                             /*!< MPU RASR: MPU Region Attribute field Position */
-#define MPU_RASR_ATTRS_Msk                 (0xFFFFUL << MPU_RASR_ATTRS_Pos)               /*!< MPU RASR: MPU Region Attribute field Mask */
-
-#define MPU_RASR_XN_Pos                    28                                             /*!< MPU RASR: ATTRS.XN Position */
-#define MPU_RASR_XN_Msk                    (1UL << MPU_RASR_XN_Pos)                       /*!< MPU RASR: ATTRS.XN Mask */
-
-#define MPU_RASR_AP_Pos                    24                                             /*!< MPU RASR: ATTRS.AP Position */
-#define MPU_RASR_AP_Msk                    (0x7UL << MPU_RASR_AP_Pos)                     /*!< MPU RASR: ATTRS.AP Mask */
-
-#define MPU_RASR_TEX_Pos                   19                                             /*!< MPU RASR: ATTRS.TEX Position */
-#define MPU_RASR_TEX_Msk                   (0x7UL << MPU_RASR_TEX_Pos)                    /*!< MPU RASR: ATTRS.TEX Mask */
-
-#define MPU_RASR_S_Pos                     18                                             /*!< MPU RASR: ATTRS.S Position */
-#define MPU_RASR_S_Msk                     (1UL << MPU_RASR_S_Pos)                        /*!< MPU RASR: ATTRS.S Mask */
-
-#define MPU_RASR_C_Pos                     17                                             /*!< MPU RASR: ATTRS.C Position */
-#define MPU_RASR_C_Msk                     (1UL << MPU_RASR_C_Pos)                        /*!< MPU RASR: ATTRS.C Mask */
-
-#define MPU_RASR_B_Pos                     16                                             /*!< MPU RASR: ATTRS.B Position */
-#define MPU_RASR_B_Msk                     (1UL << MPU_RASR_B_Pos)                        /*!< MPU RASR: ATTRS.B Mask */
-
-#define MPU_RASR_SRD_Pos                    8                                             /*!< MPU RASR: Sub-Region Disable Position */
-#define MPU_RASR_SRD_Msk                   (0xFFUL << MPU_RASR_SRD_Pos)                   /*!< MPU RASR: Sub-Region Disable Mask */
-
-#define MPU_RASR_SIZE_Pos                   1                                             /*!< MPU RASR: Region Size Field Position */
-#define MPU_RASR_SIZE_Msk                  (0x1FUL << MPU_RASR_SIZE_Pos)                  /*!< MPU RASR: Region Size Field Mask */
-
-#define MPU_RASR_ENABLE_Pos                 0                                             /*!< MPU RASR: Region enable bit Position */
-#define MPU_RASR_ENABLE_Msk                (1UL << MPU_RASR_ENABLE_Pos)                   /*!< MPU RASR: Region enable bit Disable Mask */
-
-/*@} end of group CMSIS_MPU */
-#endif
-
-
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_CoreDebug       Core Debug Registers (CoreDebug)
-    \brief      Type definitions for the Core Debug Registers
-  @{
- */
-
-/** \brief  Structure type to access the Core Debug Register (CoreDebug).
- */
-typedef struct
-{
-  __IO uint32_t DHCSR;                   /*!< Offset: 0x000 (R/W)  Debug Halting Control and Status Register    */
-  __O  uint32_t DCRSR;                   /*!< Offset: 0x004 ( /W)  Debug Core Register Selector Register        */
-  __IO uint32_t DCRDR;                   /*!< Offset: 0x008 (R/W)  Debug Core Register Data Register            */
-  __IO uint32_t DEMCR;                   /*!< Offset: 0x00C (R/W)  Debug Exception and Monitor Control Register */
-} CoreDebug_Type;
-
-/* Debug Halting Control and Status Register */
-#define CoreDebug_DHCSR_DBGKEY_Pos         16                                             /*!< CoreDebug DHCSR: DBGKEY Position */
-#define CoreDebug_DHCSR_DBGKEY_Msk         (0xFFFFUL << CoreDebug_DHCSR_DBGKEY_Pos)       /*!< CoreDebug DHCSR: DBGKEY Mask */
-
-#define CoreDebug_DHCSR_S_RESET_ST_Pos     25                                             /*!< CoreDebug DHCSR: S_RESET_ST Position */
-#define CoreDebug_DHCSR_S_RESET_ST_Msk     (1UL << CoreDebug_DHCSR_S_RESET_ST_Pos)        /*!< CoreDebug DHCSR: S_RESET_ST Mask */
-
-#define CoreDebug_DHCSR_S_RETIRE_ST_Pos    24                                             /*!< CoreDebug DHCSR: S_RETIRE_ST Position */
-#define CoreDebug_DHCSR_S_RETIRE_ST_Msk    (1UL << CoreDebug_DHCSR_S_RETIRE_ST_Pos)       /*!< CoreDebug DHCSR: S_RETIRE_ST Mask */
-
-#define CoreDebug_DHCSR_S_LOCKUP_Pos       19                                             /*!< CoreDebug DHCSR: S_LOCKUP Position */
-#define CoreDebug_DHCSR_S_LOCKUP_Msk       (1UL << CoreDebug_DHCSR_S_LOCKUP_Pos)          /*!< CoreDebug DHCSR: S_LOCKUP Mask */
-
-#define CoreDebug_DHCSR_S_SLEEP_Pos        18                                             /*!< CoreDebug DHCSR: S_SLEEP Position */
-#define CoreDebug_DHCSR_S_SLEEP_Msk        (1UL << CoreDebug_DHCSR_S_SLEEP_Pos)           /*!< CoreDebug DHCSR: S_SLEEP Mask */
-
-#define CoreDebug_DHCSR_S_HALT_Pos         17                                             /*!< CoreDebug DHCSR: S_HALT Position */
-#define CoreDebug_DHCSR_S_HALT_Msk         (1UL << CoreDebug_DHCSR_S_HALT_Pos)            /*!< CoreDebug DHCSR: S_HALT Mask */
-
-#define CoreDebug_DHCSR_S_REGRDY_Pos       16                                             /*!< CoreDebug DHCSR: S_REGRDY Position */
-#define CoreDebug_DHCSR_S_REGRDY_Msk       (1UL << CoreDebug_DHCSR_S_REGRDY_Pos)          /*!< CoreDebug DHCSR: S_REGRDY Mask */
-
-#define CoreDebug_DHCSR_C_SNAPSTALL_Pos     5                                             /*!< CoreDebug DHCSR: C_SNAPSTALL Position */
-#define CoreDebug_DHCSR_C_SNAPSTALL_Msk    (1UL << CoreDebug_DHCSR_C_SNAPSTALL_Pos)       /*!< CoreDebug DHCSR: C_SNAPSTALL Mask */
-
-#define CoreDebug_DHCSR_C_MASKINTS_Pos      3                                             /*!< CoreDebug DHCSR: C_MASKINTS Position */
-#define CoreDebug_DHCSR_C_MASKINTS_Msk     (1UL << CoreDebug_DHCSR_C_MASKINTS_Pos)        /*!< CoreDebug DHCSR: C_MASKINTS Mask */
-
-#define CoreDebug_DHCSR_C_STEP_Pos          2                                             /*!< CoreDebug DHCSR: C_STEP Position */
-#define CoreDebug_DHCSR_C_STEP_Msk         (1UL << CoreDebug_DHCSR_C_STEP_Pos)            /*!< CoreDebug DHCSR: C_STEP Mask */
-
-#define CoreDebug_DHCSR_C_HALT_Pos          1                                             /*!< CoreDebug DHCSR: C_HALT Position */
-#define CoreDebug_DHCSR_C_HALT_Msk         (1UL << CoreDebug_DHCSR_C_HALT_Pos)            /*!< CoreDebug DHCSR: C_HALT Mask */
-
-#define CoreDebug_DHCSR_C_DEBUGEN_Pos       0                                             /*!< CoreDebug DHCSR: C_DEBUGEN Position */
-#define CoreDebug_DHCSR_C_DEBUGEN_Msk      (1UL << CoreDebug_DHCSR_C_DEBUGEN_Pos)         /*!< CoreDebug DHCSR: C_DEBUGEN Mask */
-
-/* Debug Core Register Selector Register */
-#define CoreDebug_DCRSR_REGWnR_Pos         16                                             /*!< CoreDebug DCRSR: REGWnR Position */
-#define CoreDebug_DCRSR_REGWnR_Msk         (1UL << CoreDebug_DCRSR_REGWnR_Pos)            /*!< CoreDebug DCRSR: REGWnR Mask */
-
-#define CoreDebug_DCRSR_REGSEL_Pos          0                                             /*!< CoreDebug DCRSR: REGSEL Position */
-#define CoreDebug_DCRSR_REGSEL_Msk         (0x1FUL << CoreDebug_DCRSR_REGSEL_Pos)         /*!< CoreDebug DCRSR: REGSEL Mask */
-
-/* Debug Exception and Monitor Control Register */
-#define CoreDebug_DEMCR_TRCENA_Pos         24                                             /*!< CoreDebug DEMCR: TRCENA Position */
-#define CoreDebug_DEMCR_TRCENA_Msk         (1UL << CoreDebug_DEMCR_TRCENA_Pos)            /*!< CoreDebug DEMCR: TRCENA Mask */
-
-#define CoreDebug_DEMCR_MON_REQ_Pos        19                                             /*!< CoreDebug DEMCR: MON_REQ Position */
-#define CoreDebug_DEMCR_MON_REQ_Msk        (1UL << CoreDebug_DEMCR_MON_REQ_Pos)           /*!< CoreDebug DEMCR: MON_REQ Mask */
-
-#define CoreDebug_DEMCR_MON_STEP_Pos       18                                             /*!< CoreDebug DEMCR: MON_STEP Position */
-#define CoreDebug_DEMCR_MON_STEP_Msk       (1UL << CoreDebug_DEMCR_MON_STEP_Pos)          /*!< CoreDebug DEMCR: MON_STEP Mask */
-
-#define CoreDebug_DEMCR_MON_PEND_Pos       17                                             /*!< CoreDebug DEMCR: MON_PEND Position */
-#define CoreDebug_DEMCR_MON_PEND_Msk       (1UL << CoreDebug_DEMCR_MON_PEND_Pos)          /*!< CoreDebug DEMCR: MON_PEND Mask */
-
-#define CoreDebug_DEMCR_MON_EN_Pos         16                                             /*!< CoreDebug DEMCR: MON_EN Position */
-#define CoreDebug_DEMCR_MON_EN_Msk         (1UL << CoreDebug_DEMCR_MON_EN_Pos)            /*!< CoreDebug DEMCR: MON_EN Mask */
-
-#define CoreDebug_DEMCR_VC_HARDERR_Pos     10                                             /*!< CoreDebug DEMCR: VC_HARDERR Position */
-#define CoreDebug_DEMCR_VC_HARDERR_Msk     (1UL << CoreDebug_DEMCR_VC_HARDERR_Pos)        /*!< CoreDebug DEMCR: VC_HARDERR Mask */
-
-#define CoreDebug_DEMCR_VC_INTERR_Pos       9                                             /*!< CoreDebug DEMCR: VC_INTERR Position */
-#define CoreDebug_DEMCR_VC_INTERR_Msk      (1UL << CoreDebug_DEMCR_VC_INTERR_Pos)         /*!< CoreDebug DEMCR: VC_INTERR Mask */
-
-#define CoreDebug_DEMCR_VC_BUSERR_Pos       8                                             /*!< CoreDebug DEMCR: VC_BUSERR Position */
-#define CoreDebug_DEMCR_VC_BUSERR_Msk      (1UL << CoreDebug_DEMCR_VC_BUSERR_Pos)         /*!< CoreDebug DEMCR: VC_BUSERR Mask */
-
-#define CoreDebug_DEMCR_VC_STATERR_Pos      7                                             /*!< CoreDebug DEMCR: VC_STATERR Position */
-#define CoreDebug_DEMCR_VC_STATERR_Msk     (1UL << CoreDebug_DEMCR_VC_STATERR_Pos)        /*!< CoreDebug DEMCR: VC_STATERR Mask */
-
-#define CoreDebug_DEMCR_VC_CHKERR_Pos       6                                             /*!< CoreDebug DEMCR: VC_CHKERR Position */
-#define CoreDebug_DEMCR_VC_CHKERR_Msk      (1UL << CoreDebug_DEMCR_VC_CHKERR_Pos)         /*!< CoreDebug DEMCR: VC_CHKERR Mask */
-
-#define CoreDebug_DEMCR_VC_NOCPERR_Pos      5                                             /*!< CoreDebug DEMCR: VC_NOCPERR Position */
-#define CoreDebug_DEMCR_VC_NOCPERR_Msk     (1UL << CoreDebug_DEMCR_VC_NOCPERR_Pos)        /*!< CoreDebug DEMCR: VC_NOCPERR Mask */
-
-#define CoreDebug_DEMCR_VC_MMERR_Pos        4                                             /*!< CoreDebug DEMCR: VC_MMERR Position */
-#define CoreDebug_DEMCR_VC_MMERR_Msk       (1UL << CoreDebug_DEMCR_VC_MMERR_Pos)          /*!< CoreDebug DEMCR: VC_MMERR Mask */
-
-#define CoreDebug_DEMCR_VC_CORERESET_Pos    0                                             /*!< CoreDebug DEMCR: VC_CORERESET Position */
-#define CoreDebug_DEMCR_VC_CORERESET_Msk   (1UL << CoreDebug_DEMCR_VC_CORERESET_Pos)      /*!< CoreDebug DEMCR: VC_CORERESET Mask */
-
-/*@} end of group CMSIS_CoreDebug */
-
-
-/** \ingroup    CMSIS_core_register
-    \defgroup   CMSIS_core_base     Core Definitions
-    \brief      Definitions for base addresses, unions, and structures.
-  @{
- */
-
-/* Memory mapping of Cortex-M3 Hardware */
-#define SCS_BASE            (0xE000E000UL)                            /*!< System Control Space Base Address  */
-#define ITM_BASE            (0xE0000000UL)                            /*!< ITM Base Address                   */
-#define DWT_BASE            (0xE0001000UL)                            /*!< DWT Base Address                   */
-#define TPI_BASE            (0xE0040000UL)                            /*!< TPI Base Address                   */
-#define CoreDebug_BASE      (0xE000EDF0UL)                            /*!< Core Debug Base Address            */
-#define SysTick_BASE        (SCS_BASE +  0x0010UL)                    /*!< SysTick Base Address               */
-#define NVIC_BASE           (SCS_BASE +  0x0100UL)                    /*!< NVIC Base Address                  */
-#define SCB_BASE            (SCS_BASE +  0x0D00UL)                    /*!< System Control Block Base Address  */
-
-#define SCnSCB              ((SCnSCB_Type    *)     SCS_BASE      )   /*!< System control Register not in SCB */
-#define SCB                 ((SCB_Type       *)     SCB_BASE      )   /*!< SCB configuration struct           */
-#define SysTick             ((SysTick_Type   *)     SysTick_BASE  )   /*!< SysTick configuration struct       */
-#define NVIC                ((NVIC_Type      *)     NVIC_BASE     )   /*!< NVIC configuration struct          */
-#define ITM                 ((ITM_Type       *)     ITM_BASE      )   /*!< ITM configuration struct           */
-#define DWT                 ((DWT_Type       *)     DWT_BASE      )   /*!< DWT configuration struct           */
-#define TPI                 ((TPI_Type       *)     TPI_BASE      )   /*!< TPI configuration struct           */
-#define CoreDebug           ((CoreDebug_Type *)     CoreDebug_BASE)   /*!< Core Debug configuration struct    */
-
-#if (__MPU_PRESENT == 1)
-  #define MPU_BASE          (SCS_BASE +  0x0D90UL)                    /*!< Memory Protection Unit             */
-  #define MPU               ((MPU_Type       *)     MPU_BASE      )   /*!< Memory Protection Unit             */
-#endif
-
-/*@} */
-
-
-
-/*******************************************************************************
- *                Hardware Abstraction Layer
-  Core Function Interface contains:
-  - Core NVIC Functions
-  - Core SysTick Functions
-  - Core Debug Functions
-  - Core Register Access Functions
- ******************************************************************************/
-/** \defgroup CMSIS_Core_FunctionInterface Functions and Instructions Reference
-*/
-
-
-
-/* ##########################   NVIC functions  #################################### */
-/** \ingroup  CMSIS_Core_FunctionInterface
-    \defgroup CMSIS_Core_NVICFunctions NVIC Functions
-    \brief      Functions that manage interrupts and exceptions via the NVIC.
-    @{
- */
-
-/** \brief  Set Priority Grouping
-
-  The function sets the priority grouping field using the required unlock sequence.
-  The parameter PriorityGroup is assigned to the field SCB->AIRCR [10:8] PRIGROUP field.
-  Only values from 0..7 are used.
-  In case of a conflict between priority grouping and available
-  priority bits (__NVIC_PRIO_BITS), the smallest possible priority group is set.
-
-    \param [in]      PriorityGroup  Priority grouping field.
- */
-__STATIC_INLINE void NVIC_SetPriorityGrouping(uint32_t PriorityGroup)
-{
-  uint32_t reg_value;
-  uint32_t PriorityGroupTmp = (PriorityGroup & (uint32_t)0x07);               /* only values 0..7 are used          */
-
-  reg_value  =  SCB->AIRCR;                                                   /* read old register configuration    */
-  reg_value &= ~(SCB_AIRCR_VECTKEY_Msk | SCB_AIRCR_PRIGROUP_Msk);             /* clear bits to change               */
-  reg_value  =  (reg_value                                 |
-                ((uint32_t)0x5FA << SCB_AIRCR_VECTKEY_Pos) |
-                (PriorityGroupTmp << 8));                                     /* Insert write key and priorty group */
-  SCB->AIRCR =  reg_value;
-}
-
-
-/** \brief  Get Priority Grouping
-
-  The function reads the priority grouping field from the NVIC Interrupt Controller.
-
-    \return                Priority grouping field (SCB->AIRCR [10:8] PRIGROUP field).
- */
-__STATIC_INLINE uint32_t NVIC_GetPriorityGrouping(void)
-{
-  return ((SCB->AIRCR & SCB_AIRCR_PRIGROUP_Msk) >> SCB_AIRCR_PRIGROUP_Pos);   /* read priority grouping field */
-}
-
-
-/** \brief  Enable External Interrupt
-
-    The function enables a device-specific interrupt in the NVIC interrupt controller.
-
-    \param [in]      IRQn  External interrupt number. Value cannot be negative.
- */
-__STATIC_INLINE void NVIC_EnableIRQ(IRQn_Type IRQn)
-{
-  NVIC->ISER[((uint32_t)(IRQn) >> 5)] = (1 << ((uint32_t)(IRQn) & 0x1F)); /* enable interrupt */
-}
-
-
-/** \brief  Disable External Interrupt
-
-    The function disables a device-specific interrupt in the NVIC interrupt controller.
-
-    \param [in]      IRQn  External interrupt number. Value cannot be negative.
- */
-__STATIC_INLINE void NVIC_DisableIRQ(IRQn_Type IRQn)
-{
-  NVIC->ICER[((uint32_t)(IRQn) >> 5)] = (1 << ((uint32_t)(IRQn) & 0x1F)); /* disable interrupt */
-}
-
-
-/** \brief  Get Pending Interrupt
-
-    The function reads the pending register in the NVIC and returns the pending bit
-    for the specified interrupt.
-
-    \param [in]      IRQn  Interrupt number.
-
-    \return             0  Interrupt status is not pending.
-    \return             1  Interrupt status is pending.
- */
-__STATIC_INLINE uint32_t NVIC_GetPendingIRQ(IRQn_Type IRQn)
-{
-  return((uint32_t) ((NVIC->ISPR[(uint32_t)(IRQn) >> 5] & (1 << ((uint32_t)(IRQn) & 0x1F)))?1:0)); /* Return 1 if pending else 0 */
-}
-
-
-/** \brief  Set Pending Interrupt
-
-    The function sets the pending bit of an external interrupt.
-
-    \param [in]      IRQn  Interrupt number. Value cannot be negative.
- */
-__STATIC_INLINE void NVIC_SetPendingIRQ(IRQn_Type IRQn)
-{
-  NVIC->ISPR[((uint32_t)(IRQn) >> 5)] = (1 << ((uint32_t)(IRQn) & 0x1F)); /* set interrupt pending */
-}
-
-
-/** \brief  Clear Pending Interrupt
-
-    The function clears the pending bit of an external interrupt.
-
-    \param [in]      IRQn  External interrupt number. Value cannot be negative.
- */
-__STATIC_INLINE void NVIC_ClearPendingIRQ(IRQn_Type IRQn)
-{
-  NVIC->ICPR[((uint32_t)(IRQn) >> 5)] = (1 << ((uint32_t)(IRQn) & 0x1F)); /* Clear pending interrupt */
-}
-
-
-/** \brief  Get Active Interrupt
-
-    The function reads the active register in NVIC and returns the active bit.
-
-    \param [in]      IRQn  Interrupt number.
-
-    \return             0  Interrupt status is not active.
-    \return             1  Interrupt status is active.
- */
-__STATIC_INLINE uint32_t NVIC_GetActive(IRQn_Type IRQn)
-{
-  return((uint32_t)((NVIC->IABR[(uint32_t)(IRQn) >> 5] & (1 << ((uint32_t)(IRQn) & 0x1F)))?1:0)); /* Return 1 if active else 0 */
-}
-
-
-/** \brief  Set Interrupt Priority
-
-    The function sets the priority of an interrupt.
-
-    \note The priority cannot be set for every core interrupt.
-
-    \param [in]      IRQn  Interrupt number.
-    \param [in]  priority  Priority to set.
- */
-__STATIC_INLINE void NVIC_SetPriority(IRQn_Type IRQn, uint32_t priority)
-{
-  if(IRQn < 0) {
-    SCB->SHP[((uint32_t)(IRQn) & 0xF)-4] = ((priority << (8 - __NVIC_PRIO_BITS)) & 0xff); } /* set Priority for Cortex-M  System Interrupts */
-  else {
-    NVIC->IP[(uint32_t)(IRQn)] = ((priority << (8 - __NVIC_PRIO_BITS)) & 0xff);    }        /* set Priority for device specific Interrupts  */
-}
-
-
-/** \brief  Get Interrupt Priority
-
-    The function reads the priority of an interrupt. The interrupt
-    number can be positive to specify an external (device specific)
-    interrupt, or negative to specify an internal (core) interrupt.
-
-
-    \param [in]   IRQn  Interrupt number.
-    \return             Interrupt Priority. Value is aligned automatically to the implemented
-                        priority bits of the microcontroller.
- */
-__STATIC_INLINE uint32_t NVIC_GetPriority(IRQn_Type IRQn)
-{
-
-  if(IRQn < 0) {
-    return((uint32_t)(SCB->SHP[((uint32_t)(IRQn) & 0xF)-4] >> (8 - __NVIC_PRIO_BITS)));  } /* get priority for Cortex-M  system interrupts */
-  else {
-    return((uint32_t)(NVIC->IP[(uint32_t)(IRQn)]           >> (8 - __NVIC_PRIO_BITS)));  } /* get priority for device specific interrupts  */
-}
-
-
-/** \brief  Encode Priority
-
-    The function encodes the priority for an interrupt with the given priority group,
-    preemptive priority value, and subpriority value.
-    In case of a conflict between priority grouping and available
-    priority bits (__NVIC_PRIO_BITS), the samllest possible priority group is set.
-
-    \param [in]     PriorityGroup  Used priority group.
-    \param [in]   PreemptPriority  Preemptive priority value (starting from 0).
-    \param [in]       SubPriority  Subpriority value (starting from 0).
-    \return                        Encoded priority. Value can be used in the function \ref NVIC_SetPriority().
- */
-__STATIC_INLINE uint32_t NVIC_EncodePriority (uint32_t PriorityGroup, uint32_t PreemptPriority, uint32_t SubPriority)
-{
-  uint32_t PriorityGroupTmp = (PriorityGroup & 0x07);          /* only values 0..7 are used          */
-  uint32_t PreemptPriorityBits;
-  uint32_t SubPriorityBits;
-
-  PreemptPriorityBits = ((7 - PriorityGroupTmp) > __NVIC_PRIO_BITS) ? __NVIC_PRIO_BITS : 7 - PriorityGroupTmp;
-  SubPriorityBits     = ((PriorityGroupTmp + __NVIC_PRIO_BITS) < 7) ? 0 : PriorityGroupTmp - 7 + __NVIC_PRIO_BITS;
-
-  return (
-           ((PreemptPriority & ((1 << (PreemptPriorityBits)) - 1)) << SubPriorityBits) |
-           ((SubPriority     & ((1 << (SubPriorityBits    )) - 1)))
-         );
-}
-
-
-/** \brief  Decode Priority
-
-    The function decodes an interrupt priority value with a given priority group to
-    preemptive priority value and subpriority value.
-    In case of a conflict between priority grouping and available
-    priority bits (__NVIC_PRIO_BITS) the samllest possible priority group is set.
-
-    \param [in]         Priority   Priority value, which can be retrieved with the function \ref NVIC_GetPriority().
-    \param [in]     PriorityGroup  Used priority group.
-    \param [out] pPreemptPriority  Preemptive priority value (starting from 0).
-    \param [out]     pSubPriority  Subpriority value (starting from 0).
- */
-__STATIC_INLINE void NVIC_DecodePriority (uint32_t Priority, uint32_t PriorityGroup, uint32_t* pPreemptPriority, uint32_t* pSubPriority)
-{
-  uint32_t PriorityGroupTmp = (PriorityGroup & 0x07);          /* only values 0..7 are used          */
-  uint32_t PreemptPriorityBits;
-  uint32_t SubPriorityBits;
-
-  PreemptPriorityBits = ((7 - PriorityGroupTmp) > __NVIC_PRIO_BITS) ? __NVIC_PRIO_BITS : 7 - PriorityGroupTmp;
-  SubPriorityBits     = ((PriorityGroupTmp + __NVIC_PRIO_BITS) < 7) ? 0 : PriorityGroupTmp - 7 + __NVIC_PRIO_BITS;
-
-  *pPreemptPriority = (Priority >> SubPriorityBits) & ((1 << (PreemptPriorityBits)) - 1);
-  *pSubPriority     = (Priority                   ) & ((1 << (SubPriorityBits    )) - 1);
-}
-
-
-/** \brief  System Reset
-
-    The function initiates a system reset request to reset the MCU.
- */
-__STATIC_INLINE void NVIC_SystemReset(void)
-{
-  __DSB();                                                     /* Ensure all outstanding memory accesses included
-                                                                  buffered write are completed before reset */
-  SCB->AIRCR  = ((0x5FA << SCB_AIRCR_VECTKEY_Pos)      |
-                 (SCB->AIRCR & SCB_AIRCR_PRIGROUP_Msk) |
-                 SCB_AIRCR_SYSRESETREQ_Msk);                   /* Keep priority group unchanged */
-  __DSB();                                                     /* Ensure completion of memory access */
-  while(1);                                                    /* wait until reset */
-}
-
-/*@} end of CMSIS_Core_NVICFunctions */
-
-
-
-/* ##################################    SysTick function  ############################################ */
-/** \ingroup  CMSIS_Core_FunctionInterface
-    \defgroup CMSIS_Core_SysTickFunctions SysTick Functions
-    \brief      Functions that configure the System.
-  @{
- */
-
-#if (__Vendor_SysTickConfig == 0)
-
-/** \brief  System Tick Configuration
-
-    The function initializes the System Timer and its interrupt, and starts the System Tick Timer.
-    Counter is in free running mode to generate periodic interrupts.
-
-    \param [in]  ticks  Number of ticks between two interrupts.
-
-    \return          0  Function succeeded.
-    \return          1  Function failed.
-
-    \note     When the variable __Vendor_SysTickConfig is set to 1, then the
-    function SysTick_Config is not included. In this case, the file device.h
-    must contain a vendor-specific implementation of this function.
-
- */
-__STATIC_INLINE uint32_t SysTick_Config(uint32_t ticks)
-{
-  if (ticks > SysTick_LOAD_RELOAD_Msk)  return (1);            /* Reload value impossible */
-
-  SysTick->LOAD  = (ticks & SysTick_LOAD_RELOAD_Msk) - 1;      /* set reload register */
-  NVIC_SetPriority (SysTick_IRQn, (1<<__NVIC_PRIO_BITS) - 1);  /* set Priority for Systick Interrupt */
-  SysTick->VAL   = 0;                                          /* Load the SysTick Counter Value */
-  SysTick->CTRL  = SysTick_CTRL_CLKSOURCE_Msk |
-                   SysTick_CTRL_TICKINT_Msk   |
-                   SysTick_CTRL_ENABLE_Msk;                    /* Enable SysTick IRQ and SysTick Timer */
-  return (0);                                                  /* Function successful */
-}
-
-#endif
-
-/*@} end of CMSIS_Core_SysTickFunctions */
-
-
-
-/* ##################################### Debug In/Output function ########################################### */
-/** \ingroup  CMSIS_Core_FunctionInterface
-    \defgroup CMSIS_core_DebugFunctions ITM Functions
-    \brief   Functions that access the ITM debug interface.
-  @{
- */
-
-extern volatile int32_t ITM_RxBuffer;                    /*!< External variable to receive characters.                         */
-#define                 ITM_RXBUFFER_EMPTY    0x5AA55AA5 /*!< Value identifying \ref ITM_RxBuffer is ready for next character. */
-
-
-/** \brief  ITM Send Character
-
-    The function transmits a character via the ITM channel 0, and
-    \li Just returns when no debugger is connected that has booked the output.
-    \li Is blocking when a debugger is connected, but the previous character sent has not been transmitted.
-
-    \param [in]     ch  Character to transmit.
-
-    \returns            Character to transmit.
- */
-__STATIC_INLINE uint32_t ITM_SendChar (uint32_t ch)
-{
-  if ((ITM->TCR & ITM_TCR_ITMENA_Msk)                  &&      /* ITM enabled */
-      (ITM->TER & (1UL << 0)        )                    )     /* ITM Port #0 enabled */
-  {
-    while (ITM->PORT[0].u32 == 0);
-    ITM->PORT[0].u8 = (uint8_t) ch;
-  }
-  return (ch);
-}
-
-
-/** \brief  ITM Receive Character
-
-    The function inputs a character via the external variable \ref ITM_RxBuffer.
-
-    \return             Received character.
-    \return         -1  No character pending.
- */
-__STATIC_INLINE int32_t ITM_ReceiveChar (void) {
-  int32_t ch = -1;                           /* no character available */
-
-  if (ITM_RxBuffer != ITM_RXBUFFER_EMPTY) {
-    ch = ITM_RxBuffer;
-    ITM_RxBuffer = ITM_RXBUFFER_EMPTY;       /* ready for next character */
-  }
-
-  return (ch);
-}
-
-
-/** \brief  ITM Check Character
-
-    The function checks whether a character is pending for reading in the variable \ref ITM_RxBuffer.
-
-    \return          0  No character available.
-    \return          1  Character available.
- */
-__STATIC_INLINE int32_t ITM_CheckChar (void) {
-
-  if (ITM_RxBuffer == ITM_RXBUFFER_EMPTY) {
-    return (0);                                 /* no character available */
-  } else {
-    return (1);                                 /*    character available */
-  }
-}
-
-/*@} end of CMSIS_core_DebugFunctions */
-
-#endif /* __CORE_CM3_H_DEPENDANT */
-
-#endif /* __CMSIS_GENERIC */
-
-#ifdef __cplusplus
-}
-#endif
diff --git a/apps/mathlib/CMSIS/Include/core_cm4.h b/apps/mathlib/CMSIS/Include/core_cm4.h
deleted file mode 100644
index 5f3b7d619..000000000
--- a/apps/mathlib/CMSIS/Include/core_cm4.h
+++ /dev/null
@@ -1,1757 +0,0 @@
-/**************************************************************************//**
- * @file     core_cm4.h
- * @brief    CMSIS Cortex-M4 Core Peripheral Access Layer Header File
- * @version  V3.01
- * @date     22. March 2012
- *
- * @note
- * Copyright (C) 2009-2012 ARM Limited. All rights reserved.
- *
- * @par
- * ARM Limited (ARM) is supplying this software for use with Cortex-M
- * processor based microcontrollers.  This file can be freely distributed
- * within development tools that are supporting such ARM based processors.
- *
- * @par
- * THIS SOFTWARE IS PROVIDED "AS IS".  NO WARRANTIES, WHETHER EXPRESS, IMPLIED
- * OR STATUTORY, INCLUDING, BUT NOT LIMITED TO, IMPLIED WARRANTIES OF
- * MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE APPLY TO THIS SOFTWARE.
- * ARM SHALL NOT, IN ANY CIRCUMSTANCES, BE LIABLE FOR SPECIAL, INCIDENTAL, OR
- * CONSEQUENTIAL DAMAGES, FOR ANY REASON WHATSOEVER.
- *
- ******************************************************************************/
-#if defined ( __ICCARM__ )
- #pragma system_include  /* treat file as system include file for MISRA check */
-#endif
-
-#ifdef __cplusplus
- extern "C" {
-#endif
-
-#ifndef __CORE_CM4_H_GENERIC
-#define __CORE_CM4_H_GENERIC
-
-/** \page CMSIS_MISRA_Exceptions  MISRA-C:2004 Compliance Exceptions
-  CMSIS violates the following MISRA-C:2004 rules:
-
-   \li Required Rule 8.5, object/function definition in header file.

-     Function definitions in header files are used to allow 'inlining'.
-
-   \li Required Rule 18.4, declaration of union type or object of union type: '{...}'.

-     Unions are used for effective representation of core registers.
-
-   \li Advisory Rule 19.7, Function-like macro defined.

-     Function-like macros are used to allow more efficient code.
- */
-
-
-/*******************************************************************************
- *                 CMSIS definitions
- ******************************************************************************/
-/** \ingroup Cortex_M4
-  @{
- */
-
-/*  CMSIS CM4 definitions */
-#define __CM4_CMSIS_VERSION_MAIN  (0x03)                                   /*!< [31:16] CMSIS HAL main version   */
-#define __CM4_CMSIS_VERSION_SUB   (0x01)                                   /*!< [15:0]  CMSIS HAL sub version    */
-#define __CM4_CMSIS_VERSION       ((__CM4_CMSIS_VERSION_MAIN << 16) | \
-                                    __CM4_CMSIS_VERSION_SUB          )     /*!< CMSIS HAL version number         */
-
-#define __CORTEX_M                (0x04)                                   /*!< Cortex-M Core                    */
-
-
-#if   defined ( __CC_ARM )
-  #define __ASM            __asm                                      /*!< asm keyword for ARM Compiler          */
-  #define __INLINE         __inline                                   /*!< inline keyword for ARM Compiler       */
-  #define __STATIC_INLINE  static __inline
-
-#elif defined ( __ICCARM__ )
-  #define __ASM            __asm                                      /*!< asm keyword for IAR Compiler          */
-  #define __INLINE         inline                                     /*!< inline keyword for IAR Compiler. Only available in High optimization mode! */
-  #define __STATIC_INLINE  static inline
-
-#elif defined ( __TMS470__ )
-  #define __ASM            __asm                                      /*!< asm keyword for TI CCS Compiler       */
-  #define __STATIC_INLINE  static inline
-
-#elif defined ( __GNUC__ )
-  #define __ASM            __asm                                      /*!< asm keyword for GNU Compiler          */
-  #define __INLINE         inline                                     /*!< inline keyword for GNU Compiler       */
-  #define __STATIC_INLINE  static inline
-
-#elif defined ( __TASKING__ )
-  #define __ASM            __asm                                      /*!< asm keyword for TASKING Compiler      */
-  #define __INLINE         inline                                     /*!< inline keyword for TASKING Compiler   */
-  #define __STATIC_INLINE  static inline
-
-#endif
-
-/** __FPU_USED indicates whether an FPU is used or not. For this, __FPU_PRESENT has to be checked prior to making use of FPU specific registers and functions.
-*/
-#if defined ( __CC_ARM )
-  #if defined __TARGET_FPU_VFP
-    #if (__FPU_PRESENT == 1)
-      #define __FPU_USED       1
-    #else
-      #warning "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
-      #define __FPU_USED       0
-    #endif
-  #else
-    #define __FPU_USED         0
-  #endif
-
-#elif defined ( __ICCARM__ )
-  #if defined __ARMVFP__
-    #if (__FPU_PRESENT == 1)
-      #define __FPU_USED       1
-    #else
-      #warning "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
-      #define __FPU_USED       0
-    #endif
-  #else
-    #define __FPU_USED         0
-  #endif
-
-#elif defined ( __TMS470__ )
-  #if defined __TI_VFP_SUPPORT__
-    #if (__FPU_PRESENT == 1)
-      #define __FPU_USED       1
-    #else
-      #warning "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
-      #define __FPU_USED       0
-    #endif
-  #else
-    #define __FPU_USED         0
-  #endif
-
-#elif defined ( __GNUC__ )
-  #if defined (__VFP_FP__) && !defined(__SOFTFP__)
-    #if (__FPU_PRESENT == 1)
-      #define __FPU_USED       1
-    #else
-      #warning "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
-      #define __FPU_USED       0
-    #endif
-  #else
-    #define __FPU_USED         0
-  #endif
-
-#elif defined ( __TASKING__ )
-  #if defined __FPU_VFP__
-    #if (__FPU_PRESENT == 1)
-      #define __FPU_USED       1
-    #else
-      #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
-      #define __FPU_USED       0
-    #endif
-  #else
-    #define __FPU_USED         0
-  #endif
-#endif
-
-#include                       /* standard types definitions                      */
-#include "core_cmInstr.h"                /* Core Instruction Access                         */
-#include "core_cmFunc.h"                 /* Core Function Access                            */
-#include "core_cm4_simd.h"               /* Compiler specific SIMD Intrinsics               */
-
-#endif /* __CORE_CM4_H_GENERIC */
-
-#ifndef __CMSIS_GENERIC
-
-#ifndef __CORE_CM4_H_DEPENDANT
-#define __CORE_CM4_H_DEPENDANT
-
-/* check device defines and use defaults */
-#if defined __CHECK_DEVICE_DEFINES
-  #ifndef __CM4_REV
-    #define __CM4_REV               0x0000
-    #warning "__CM4_REV not defined in device header file; using default!"
-  #endif
-
-  #ifndef __FPU_PRESENT
-    #define __FPU_PRESENT             0
-    #warning "__FPU_PRESENT not defined in device header file; using default!"
-  #endif
-
-  #ifndef __MPU_PRESENT
-    #define __MPU_PRESENT             0
-    #warning "__MPU_PRESENT not defined in device header file; using default!"
-  #endif
-
-  #ifndef __NVIC_PRIO_BITS
-    #define __NVIC_PRIO_BITS          4
-    #warning "__NVIC_PRIO_BITS not defined in device header file; using default!"
-  #endif
-
-  #ifndef __Vendor_SysTickConfig
-    #define __Vendor_SysTickConfig    0
-    #warning "__Vendor_SysTickConfig not defined in device header file; using default!"
-  #endif
-#endif
-
-/* IO definitions (access restrictions to peripheral registers) */
-/**
-    \defgroup CMSIS_glob_defs CMSIS Global Defines
-
-    IO Type Qualifiers are used
-    \li to specify the access to peripheral variables.
-    \li for automatic generation of peripheral register debug information.
-*/
-#ifdef __cplusplus
-  #define   __I     volatile             /*!< Defines 'read only' permissions                 */
-#else
-  #define   __I     volatile const       /*!< Defines 'read only' permissions                 */
-#endif
-#define     __O     volatile             /*!< Defines 'write only' permissions                */
-#define     __IO    volatile             /*!< Defines 'read / write' permissions              */
-
-/*@} end of group Cortex_M4 */
-
-
-
-/*******************************************************************************
- *                 Register Abstraction
-  Core Register contain:
-  - Core Register
-  - Core NVIC Register
-  - Core SCB Register
-  - Core SysTick Register
-  - Core Debug Register
-  - Core MPU Register
-  - Core FPU Register
- ******************************************************************************/
-/** \defgroup CMSIS_core_register Defines and Type Definitions
-    \brief Type definitions and defines for Cortex-M processor based devices.
-*/
-
-/** \ingroup    CMSIS_core_register
-    \defgroup   CMSIS_CORE  Status and Control Registers
-    \brief  Core Register type definitions.
-  @{
- */
-
-/** \brief  Union type to access the Application Program Status Register (APSR).
- */
-typedef union
-{
-  struct
-  {
-#if (__CORTEX_M != 0x04)
-    uint32_t _reserved0:27;              /*!< bit:  0..26  Reserved                           */
-#else
-    uint32_t _reserved0:16;              /*!< bit:  0..15  Reserved                           */
-    uint32_t GE:4;                       /*!< bit: 16..19  Greater than or Equal flags        */
-    uint32_t _reserved1:7;               /*!< bit: 20..26  Reserved                           */
-#endif
-    uint32_t Q:1;                        /*!< bit:     27  Saturation condition flag          */
-    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag       */
-    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag          */
-    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag           */
-    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag       */
-  } b;                                   /*!< Structure used for bit  access                  */
-  uint32_t w;                            /*!< Type      used for word access                  */
-} APSR_Type;
-
-
-/** \brief  Union type to access the Interrupt Program Status Register (IPSR).
- */
-typedef union
-{
-  struct
-  {
-    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number                   */
-    uint32_t _reserved0:23;              /*!< bit:  9..31  Reserved                           */
-  } b;                                   /*!< Structure used for bit  access                  */
-  uint32_t w;                            /*!< Type      used for word access                  */
-} IPSR_Type;
-
-
-/** \brief  Union type to access the Special-Purpose Program Status Registers (xPSR).
- */
-typedef union
-{
-  struct
-  {
-    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number                   */
-#if (__CORTEX_M != 0x04)
-    uint32_t _reserved0:15;              /*!< bit:  9..23  Reserved                           */
-#else
-    uint32_t _reserved0:7;               /*!< bit:  9..15  Reserved                           */
-    uint32_t GE:4;                       /*!< bit: 16..19  Greater than or Equal flags        */
-    uint32_t _reserved1:4;               /*!< bit: 20..23  Reserved                           */
-#endif
-    uint32_t T:1;                        /*!< bit:     24  Thumb bit        (read 0)          */
-    uint32_t IT:2;                       /*!< bit: 25..26  saved IT state   (read 0)          */
-    uint32_t Q:1;                        /*!< bit:     27  Saturation condition flag          */
-    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag       */
-    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag          */
-    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag           */
-    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag       */
-  } b;                                   /*!< Structure used for bit  access                  */
-  uint32_t w;                            /*!< Type      used for word access                  */
-} xPSR_Type;
-
-
-/** \brief  Union type to access the Control Registers (CONTROL).
- */
-typedef union
-{
-  struct
-  {
-    uint32_t nPRIV:1;                    /*!< bit:      0  Execution privilege in Thread mode */
-    uint32_t SPSEL:1;                    /*!< bit:      1  Stack to be used                   */
-    uint32_t FPCA:1;                     /*!< bit:      2  FP extension active flag           */
-    uint32_t _reserved0:29;              /*!< bit:  3..31  Reserved                           */
-  } b;                                   /*!< Structure used for bit  access                  */
-  uint32_t w;                            /*!< Type      used for word access                  */
-} CONTROL_Type;
-
-/*@} end of group CMSIS_CORE */
-
-
-/** \ingroup    CMSIS_core_register
-    \defgroup   CMSIS_NVIC  Nested Vectored Interrupt Controller (NVIC)
-    \brief      Type definitions for the NVIC Registers
-  @{
- */
-
-/** \brief  Structure type to access the Nested Vectored Interrupt Controller (NVIC).
- */
-typedef struct
-{
-  __IO uint32_t ISER[8];                 /*!< Offset: 0x000 (R/W)  Interrupt Set Enable Register           */
-       uint32_t RESERVED0[24];
-  __IO uint32_t ICER[8];                 /*!< Offset: 0x080 (R/W)  Interrupt Clear Enable Register         */
-       uint32_t RSERVED1[24];
-  __IO uint32_t ISPR[8];                 /*!< Offset: 0x100 (R/W)  Interrupt Set Pending Register          */
-       uint32_t RESERVED2[24];
-  __IO uint32_t ICPR[8];                 /*!< Offset: 0x180 (R/W)  Interrupt Clear Pending Register        */
-       uint32_t RESERVED3[24];
-  __IO uint32_t IABR[8];                 /*!< Offset: 0x200 (R/W)  Interrupt Active bit Register           */
-       uint32_t RESERVED4[56];
-  __IO uint8_t  IP[240];                 /*!< Offset: 0x300 (R/W)  Interrupt Priority Register (8Bit wide) */
-       uint32_t RESERVED5[644];
-  __O  uint32_t STIR;                    /*!< Offset: 0xE00 ( /W)  Software Trigger Interrupt Register     */
-}  NVIC_Type;
-
-/* Software Triggered Interrupt Register Definitions */
-#define NVIC_STIR_INTID_Pos                 0                                          /*!< STIR: INTLINESNUM Position */
-#define NVIC_STIR_INTID_Msk                (0x1FFUL << NVIC_STIR_INTID_Pos)            /*!< STIR: INTLINESNUM Mask */
-
-/*@} end of group CMSIS_NVIC */
-
-
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_SCB     System Control Block (SCB)
-    \brief      Type definitions for the System Control Block Registers
-  @{
- */
-
-/** \brief  Structure type to access the System Control Block (SCB).
- */
-typedef struct
-{
-  __I  uint32_t CPUID;                   /*!< Offset: 0x000 (R/ )  CPUID Base Register                                   */
-  __IO uint32_t ICSR;                    /*!< Offset: 0x004 (R/W)  Interrupt Control and State Register                  */
-  __IO uint32_t VTOR;                    /*!< Offset: 0x008 (R/W)  Vector Table Offset Register                          */
-  __IO uint32_t AIRCR;                   /*!< Offset: 0x00C (R/W)  Application Interrupt and Reset Control Register      */
-  __IO uint32_t SCR;                     /*!< Offset: 0x010 (R/W)  System Control Register                               */
-  __IO uint32_t CCR;                     /*!< Offset: 0x014 (R/W)  Configuration Control Register                        */
-  __IO uint8_t  SHP[12];                 /*!< Offset: 0x018 (R/W)  System Handlers Priority Registers (4-7, 8-11, 12-15) */
-  __IO uint32_t SHCSR;                   /*!< Offset: 0x024 (R/W)  System Handler Control and State Register             */
-  __IO uint32_t CFSR;                    /*!< Offset: 0x028 (R/W)  Configurable Fault Status Register                    */
-  __IO uint32_t HFSR;                    /*!< Offset: 0x02C (R/W)  HardFault Status Register                             */
-  __IO uint32_t DFSR;                    /*!< Offset: 0x030 (R/W)  Debug Fault Status Register                           */
-  __IO uint32_t MMFAR;                   /*!< Offset: 0x034 (R/W)  MemManage Fault Address Register                      */
-  __IO uint32_t BFAR;                    /*!< Offset: 0x038 (R/W)  BusFault Address Register                             */
-  __IO uint32_t AFSR;                    /*!< Offset: 0x03C (R/W)  Auxiliary Fault Status Register                       */
-  __I  uint32_t PFR[2];                  /*!< Offset: 0x040 (R/ )  Processor Feature Register                            */
-  __I  uint32_t DFR;                     /*!< Offset: 0x048 (R/ )  Debug Feature Register                                */
-  __I  uint32_t ADR;                     /*!< Offset: 0x04C (R/ )  Auxiliary Feature Register                            */
-  __I  uint32_t MMFR[4];                 /*!< Offset: 0x050 (R/ )  Memory Model Feature Register                         */
-  __I  uint32_t ISAR[5];                 /*!< Offset: 0x060 (R/ )  Instruction Set Attributes Register                   */
-       uint32_t RESERVED0[5];
-  __IO uint32_t CPACR;                   /*!< Offset: 0x088 (R/W)  Coprocessor Access Control Register                   */
-} SCB_Type;
-
-/* SCB CPUID Register Definitions */
-#define SCB_CPUID_IMPLEMENTER_Pos          24                                             /*!< SCB CPUID: IMPLEMENTER Position */
-#define SCB_CPUID_IMPLEMENTER_Msk          (0xFFUL << SCB_CPUID_IMPLEMENTER_Pos)          /*!< SCB CPUID: IMPLEMENTER Mask */
-
-#define SCB_CPUID_VARIANT_Pos              20                                             /*!< SCB CPUID: VARIANT Position */
-#define SCB_CPUID_VARIANT_Msk              (0xFUL << SCB_CPUID_VARIANT_Pos)               /*!< SCB CPUID: VARIANT Mask */
-
-#define SCB_CPUID_ARCHITECTURE_Pos         16                                             /*!< SCB CPUID: ARCHITECTURE Position */
-#define SCB_CPUID_ARCHITECTURE_Msk         (0xFUL << SCB_CPUID_ARCHITECTURE_Pos)          /*!< SCB CPUID: ARCHITECTURE Mask */
-
-#define SCB_CPUID_PARTNO_Pos                4                                             /*!< SCB CPUID: PARTNO Position */
-#define SCB_CPUID_PARTNO_Msk               (0xFFFUL << SCB_CPUID_PARTNO_Pos)              /*!< SCB CPUID: PARTNO Mask */
-
-#define SCB_CPUID_REVISION_Pos              0                                             /*!< SCB CPUID: REVISION Position */
-#define SCB_CPUID_REVISION_Msk             (0xFUL << SCB_CPUID_REVISION_Pos)              /*!< SCB CPUID: REVISION Mask */
-
-/* SCB Interrupt Control State Register Definitions */
-#define SCB_ICSR_NMIPENDSET_Pos            31                                             /*!< SCB ICSR: NMIPENDSET Position */
-#define SCB_ICSR_NMIPENDSET_Msk            (1UL << SCB_ICSR_NMIPENDSET_Pos)               /*!< SCB ICSR: NMIPENDSET Mask */
-
-#define SCB_ICSR_PENDSVSET_Pos             28                                             /*!< SCB ICSR: PENDSVSET Position */
-#define SCB_ICSR_PENDSVSET_Msk             (1UL << SCB_ICSR_PENDSVSET_Pos)                /*!< SCB ICSR: PENDSVSET Mask */
-
-#define SCB_ICSR_PENDSVCLR_Pos             27                                             /*!< SCB ICSR: PENDSVCLR Position */
-#define SCB_ICSR_PENDSVCLR_Msk             (1UL << SCB_ICSR_PENDSVCLR_Pos)                /*!< SCB ICSR: PENDSVCLR Mask */
-
-#define SCB_ICSR_PENDSTSET_Pos             26                                             /*!< SCB ICSR: PENDSTSET Position */
-#define SCB_ICSR_PENDSTSET_Msk             (1UL << SCB_ICSR_PENDSTSET_Pos)                /*!< SCB ICSR: PENDSTSET Mask */
-
-#define SCB_ICSR_PENDSTCLR_Pos             25                                             /*!< SCB ICSR: PENDSTCLR Position */
-#define SCB_ICSR_PENDSTCLR_Msk             (1UL << SCB_ICSR_PENDSTCLR_Pos)                /*!< SCB ICSR: PENDSTCLR Mask */
-
-#define SCB_ICSR_ISRPREEMPT_Pos            23                                             /*!< SCB ICSR: ISRPREEMPT Position */
-#define SCB_ICSR_ISRPREEMPT_Msk            (1UL << SCB_ICSR_ISRPREEMPT_Pos)               /*!< SCB ICSR: ISRPREEMPT Mask */
-
-#define SCB_ICSR_ISRPENDING_Pos            22                                             /*!< SCB ICSR: ISRPENDING Position */
-#define SCB_ICSR_ISRPENDING_Msk            (1UL << SCB_ICSR_ISRPENDING_Pos)               /*!< SCB ICSR: ISRPENDING Mask */
-
-#define SCB_ICSR_VECTPENDING_Pos           12                                             /*!< SCB ICSR: VECTPENDING Position */
-#define SCB_ICSR_VECTPENDING_Msk           (0x1FFUL << SCB_ICSR_VECTPENDING_Pos)          /*!< SCB ICSR: VECTPENDING Mask */
-
-#define SCB_ICSR_RETTOBASE_Pos             11                                             /*!< SCB ICSR: RETTOBASE Position */
-#define SCB_ICSR_RETTOBASE_Msk             (1UL << SCB_ICSR_RETTOBASE_Pos)                /*!< SCB ICSR: RETTOBASE Mask */
-
-#define SCB_ICSR_VECTACTIVE_Pos             0                                             /*!< SCB ICSR: VECTACTIVE Position */
-#define SCB_ICSR_VECTACTIVE_Msk            (0x1FFUL << SCB_ICSR_VECTACTIVE_Pos)           /*!< SCB ICSR: VECTACTIVE Mask */
-
-/* SCB Vector Table Offset Register Definitions */
-#define SCB_VTOR_TBLOFF_Pos                 7                                             /*!< SCB VTOR: TBLOFF Position */
-#define SCB_VTOR_TBLOFF_Msk                (0x1FFFFFFUL << SCB_VTOR_TBLOFF_Pos)           /*!< SCB VTOR: TBLOFF Mask */
-
-/* SCB Application Interrupt and Reset Control Register Definitions */
-#define SCB_AIRCR_VECTKEY_Pos              16                                             /*!< SCB AIRCR: VECTKEY Position */
-#define SCB_AIRCR_VECTKEY_Msk              (0xFFFFUL << SCB_AIRCR_VECTKEY_Pos)            /*!< SCB AIRCR: VECTKEY Mask */
-
-#define SCB_AIRCR_VECTKEYSTAT_Pos          16                                             /*!< SCB AIRCR: VECTKEYSTAT Position */
-#define SCB_AIRCR_VECTKEYSTAT_Msk          (0xFFFFUL << SCB_AIRCR_VECTKEYSTAT_Pos)        /*!< SCB AIRCR: VECTKEYSTAT Mask */
-
-#define SCB_AIRCR_ENDIANESS_Pos            15                                             /*!< SCB AIRCR: ENDIANESS Position */
-#define SCB_AIRCR_ENDIANESS_Msk            (1UL << SCB_AIRCR_ENDIANESS_Pos)               /*!< SCB AIRCR: ENDIANESS Mask */
-
-#define SCB_AIRCR_PRIGROUP_Pos              8                                             /*!< SCB AIRCR: PRIGROUP Position */
-#define SCB_AIRCR_PRIGROUP_Msk             (7UL << SCB_AIRCR_PRIGROUP_Pos)                /*!< SCB AIRCR: PRIGROUP Mask */
-
-#define SCB_AIRCR_SYSRESETREQ_Pos           2                                             /*!< SCB AIRCR: SYSRESETREQ Position */
-#define SCB_AIRCR_SYSRESETREQ_Msk          (1UL << SCB_AIRCR_SYSRESETREQ_Pos)             /*!< SCB AIRCR: SYSRESETREQ Mask */
-
-#define SCB_AIRCR_VECTCLRACTIVE_Pos         1                                             /*!< SCB AIRCR: VECTCLRACTIVE Position */
-#define SCB_AIRCR_VECTCLRACTIVE_Msk        (1UL << SCB_AIRCR_VECTCLRACTIVE_Pos)           /*!< SCB AIRCR: VECTCLRACTIVE Mask */
-
-#define SCB_AIRCR_VECTRESET_Pos             0                                             /*!< SCB AIRCR: VECTRESET Position */
-#define SCB_AIRCR_VECTRESET_Msk            (1UL << SCB_AIRCR_VECTRESET_Pos)               /*!< SCB AIRCR: VECTRESET Mask */
-
-/* SCB System Control Register Definitions */
-#define SCB_SCR_SEVONPEND_Pos               4                                             /*!< SCB SCR: SEVONPEND Position */
-#define SCB_SCR_SEVONPEND_Msk              (1UL << SCB_SCR_SEVONPEND_Pos)                 /*!< SCB SCR: SEVONPEND Mask */
-
-#define SCB_SCR_SLEEPDEEP_Pos               2                                             /*!< SCB SCR: SLEEPDEEP Position */
-#define SCB_SCR_SLEEPDEEP_Msk              (1UL << SCB_SCR_SLEEPDEEP_Pos)                 /*!< SCB SCR: SLEEPDEEP Mask */
-
-#define SCB_SCR_SLEEPONEXIT_Pos             1                                             /*!< SCB SCR: SLEEPONEXIT Position */
-#define SCB_SCR_SLEEPONEXIT_Msk            (1UL << SCB_SCR_SLEEPONEXIT_Pos)               /*!< SCB SCR: SLEEPONEXIT Mask */
-
-/* SCB Configuration Control Register Definitions */
-#define SCB_CCR_STKALIGN_Pos                9                                             /*!< SCB CCR: STKALIGN Position */
-#define SCB_CCR_STKALIGN_Msk               (1UL << SCB_CCR_STKALIGN_Pos)                  /*!< SCB CCR: STKALIGN Mask */
-
-#define SCB_CCR_BFHFNMIGN_Pos               8                                             /*!< SCB CCR: BFHFNMIGN Position */
-#define SCB_CCR_BFHFNMIGN_Msk              (1UL << SCB_CCR_BFHFNMIGN_Pos)                 /*!< SCB CCR: BFHFNMIGN Mask */
-
-#define SCB_CCR_DIV_0_TRP_Pos               4                                             /*!< SCB CCR: DIV_0_TRP Position */
-#define SCB_CCR_DIV_0_TRP_Msk              (1UL << SCB_CCR_DIV_0_TRP_Pos)                 /*!< SCB CCR: DIV_0_TRP Mask */
-
-#define SCB_CCR_UNALIGN_TRP_Pos             3                                             /*!< SCB CCR: UNALIGN_TRP Position */
-#define SCB_CCR_UNALIGN_TRP_Msk            (1UL << SCB_CCR_UNALIGN_TRP_Pos)               /*!< SCB CCR: UNALIGN_TRP Mask */
-
-#define SCB_CCR_USERSETMPEND_Pos            1                                             /*!< SCB CCR: USERSETMPEND Position */
-#define SCB_CCR_USERSETMPEND_Msk           (1UL << SCB_CCR_USERSETMPEND_Pos)              /*!< SCB CCR: USERSETMPEND Mask */
-
-#define SCB_CCR_NONBASETHRDENA_Pos          0                                             /*!< SCB CCR: NONBASETHRDENA Position */
-#define SCB_CCR_NONBASETHRDENA_Msk         (1UL << SCB_CCR_NONBASETHRDENA_Pos)            /*!< SCB CCR: NONBASETHRDENA Mask */
-
-/* SCB System Handler Control and State Register Definitions */
-#define SCB_SHCSR_USGFAULTENA_Pos          18                                             /*!< SCB SHCSR: USGFAULTENA Position */
-#define SCB_SHCSR_USGFAULTENA_Msk          (1UL << SCB_SHCSR_USGFAULTENA_Pos)             /*!< SCB SHCSR: USGFAULTENA Mask */
-
-#define SCB_SHCSR_BUSFAULTENA_Pos          17                                             /*!< SCB SHCSR: BUSFAULTENA Position */
-#define SCB_SHCSR_BUSFAULTENA_Msk          (1UL << SCB_SHCSR_BUSFAULTENA_Pos)             /*!< SCB SHCSR: BUSFAULTENA Mask */
-
-#define SCB_SHCSR_MEMFAULTENA_Pos          16                                             /*!< SCB SHCSR: MEMFAULTENA Position */
-#define SCB_SHCSR_MEMFAULTENA_Msk          (1UL << SCB_SHCSR_MEMFAULTENA_Pos)             /*!< SCB SHCSR: MEMFAULTENA Mask */
-
-#define SCB_SHCSR_SVCALLPENDED_Pos         15                                             /*!< SCB SHCSR: SVCALLPENDED Position */
-#define SCB_SHCSR_SVCALLPENDED_Msk         (1UL << SCB_SHCSR_SVCALLPENDED_Pos)            /*!< SCB SHCSR: SVCALLPENDED Mask */
-
-#define SCB_SHCSR_BUSFAULTPENDED_Pos       14                                             /*!< SCB SHCSR: BUSFAULTPENDED Position */
-#define SCB_SHCSR_BUSFAULTPENDED_Msk       (1UL << SCB_SHCSR_BUSFAULTPENDED_Pos)          /*!< SCB SHCSR: BUSFAULTPENDED Mask */
-
-#define SCB_SHCSR_MEMFAULTPENDED_Pos       13                                             /*!< SCB SHCSR: MEMFAULTPENDED Position */
-#define SCB_SHCSR_MEMFAULTPENDED_Msk       (1UL << SCB_SHCSR_MEMFAULTPENDED_Pos)          /*!< SCB SHCSR: MEMFAULTPENDED Mask */
-
-#define SCB_SHCSR_USGFAULTPENDED_Pos       12                                             /*!< SCB SHCSR: USGFAULTPENDED Position */
-#define SCB_SHCSR_USGFAULTPENDED_Msk       (1UL << SCB_SHCSR_USGFAULTPENDED_Pos)          /*!< SCB SHCSR: USGFAULTPENDED Mask */
-
-#define SCB_SHCSR_SYSTICKACT_Pos           11                                             /*!< SCB SHCSR: SYSTICKACT Position */
-#define SCB_SHCSR_SYSTICKACT_Msk           (1UL << SCB_SHCSR_SYSTICKACT_Pos)              /*!< SCB SHCSR: SYSTICKACT Mask */
-
-#define SCB_SHCSR_PENDSVACT_Pos            10                                             /*!< SCB SHCSR: PENDSVACT Position */
-#define SCB_SHCSR_PENDSVACT_Msk            (1UL << SCB_SHCSR_PENDSVACT_Pos)               /*!< SCB SHCSR: PENDSVACT Mask */
-
-#define SCB_SHCSR_MONITORACT_Pos            8                                             /*!< SCB SHCSR: MONITORACT Position */
-#define SCB_SHCSR_MONITORACT_Msk           (1UL << SCB_SHCSR_MONITORACT_Pos)              /*!< SCB SHCSR: MONITORACT Mask */
-
-#define SCB_SHCSR_SVCALLACT_Pos             7                                             /*!< SCB SHCSR: SVCALLACT Position */
-#define SCB_SHCSR_SVCALLACT_Msk            (1UL << SCB_SHCSR_SVCALLACT_Pos)               /*!< SCB SHCSR: SVCALLACT Mask */
-
-#define SCB_SHCSR_USGFAULTACT_Pos           3                                             /*!< SCB SHCSR: USGFAULTACT Position */
-#define SCB_SHCSR_USGFAULTACT_Msk          (1UL << SCB_SHCSR_USGFAULTACT_Pos)             /*!< SCB SHCSR: USGFAULTACT Mask */
-
-#define SCB_SHCSR_BUSFAULTACT_Pos           1                                             /*!< SCB SHCSR: BUSFAULTACT Position */
-#define SCB_SHCSR_BUSFAULTACT_Msk          (1UL << SCB_SHCSR_BUSFAULTACT_Pos)             /*!< SCB SHCSR: BUSFAULTACT Mask */
-
-#define SCB_SHCSR_MEMFAULTACT_Pos           0                                             /*!< SCB SHCSR: MEMFAULTACT Position */
-#define SCB_SHCSR_MEMFAULTACT_Msk          (1UL << SCB_SHCSR_MEMFAULTACT_Pos)             /*!< SCB SHCSR: MEMFAULTACT Mask */
-
-/* SCB Configurable Fault Status Registers Definitions */
-#define SCB_CFSR_USGFAULTSR_Pos            16                                             /*!< SCB CFSR: Usage Fault Status Register Position */
-#define SCB_CFSR_USGFAULTSR_Msk            (0xFFFFUL << SCB_CFSR_USGFAULTSR_Pos)          /*!< SCB CFSR: Usage Fault Status Register Mask */
-
-#define SCB_CFSR_BUSFAULTSR_Pos             8                                             /*!< SCB CFSR: Bus Fault Status Register Position */
-#define SCB_CFSR_BUSFAULTSR_Msk            (0xFFUL << SCB_CFSR_BUSFAULTSR_Pos)            /*!< SCB CFSR: Bus Fault Status Register Mask */
-
-#define SCB_CFSR_MEMFAULTSR_Pos             0                                             /*!< SCB CFSR: Memory Manage Fault Status Register Position */
-#define SCB_CFSR_MEMFAULTSR_Msk            (0xFFUL << SCB_CFSR_MEMFAULTSR_Pos)            /*!< SCB CFSR: Memory Manage Fault Status Register Mask */
-
-/* SCB Hard Fault Status Registers Definitions */
-#define SCB_HFSR_DEBUGEVT_Pos              31                                             /*!< SCB HFSR: DEBUGEVT Position */
-#define SCB_HFSR_DEBUGEVT_Msk              (1UL << SCB_HFSR_DEBUGEVT_Pos)                 /*!< SCB HFSR: DEBUGEVT Mask */
-
-#define SCB_HFSR_FORCED_Pos                30                                             /*!< SCB HFSR: FORCED Position */
-#define SCB_HFSR_FORCED_Msk                (1UL << SCB_HFSR_FORCED_Pos)                   /*!< SCB HFSR: FORCED Mask */
-
-#define SCB_HFSR_VECTTBL_Pos                1                                             /*!< SCB HFSR: VECTTBL Position */
-#define SCB_HFSR_VECTTBL_Msk               (1UL << SCB_HFSR_VECTTBL_Pos)                  /*!< SCB HFSR: VECTTBL Mask */
-
-/* SCB Debug Fault Status Register Definitions */
-#define SCB_DFSR_EXTERNAL_Pos               4                                             /*!< SCB DFSR: EXTERNAL Position */
-#define SCB_DFSR_EXTERNAL_Msk              (1UL << SCB_DFSR_EXTERNAL_Pos)                 /*!< SCB DFSR: EXTERNAL Mask */
-
-#define SCB_DFSR_VCATCH_Pos                 3                                             /*!< SCB DFSR: VCATCH Position */
-#define SCB_DFSR_VCATCH_Msk                (1UL << SCB_DFSR_VCATCH_Pos)                   /*!< SCB DFSR: VCATCH Mask */
-
-#define SCB_DFSR_DWTTRAP_Pos                2                                             /*!< SCB DFSR: DWTTRAP Position */
-#define SCB_DFSR_DWTTRAP_Msk               (1UL << SCB_DFSR_DWTTRAP_Pos)                  /*!< SCB DFSR: DWTTRAP Mask */
-
-#define SCB_DFSR_BKPT_Pos                   1                                             /*!< SCB DFSR: BKPT Position */
-#define SCB_DFSR_BKPT_Msk                  (1UL << SCB_DFSR_BKPT_Pos)                     /*!< SCB DFSR: BKPT Mask */
-
-#define SCB_DFSR_HALTED_Pos                 0                                             /*!< SCB DFSR: HALTED Position */
-#define SCB_DFSR_HALTED_Msk                (1UL << SCB_DFSR_HALTED_Pos)                   /*!< SCB DFSR: HALTED Mask */
-
-/*@} end of group CMSIS_SCB */
-
-
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_SCnSCB System Controls not in SCB (SCnSCB)
-    \brief      Type definitions for the System Control and ID Register not in the SCB
-  @{
- */
-
-/** \brief  Structure type to access the System Control and ID Register not in the SCB.
- */
-typedef struct
-{
-       uint32_t RESERVED0[1];
-  __I  uint32_t ICTR;                    /*!< Offset: 0x004 (R/ )  Interrupt Controller Type Register      */
-  __IO uint32_t ACTLR;                   /*!< Offset: 0x008 (R/W)  Auxiliary Control Register              */
-} SCnSCB_Type;
-
-/* Interrupt Controller Type Register Definitions */
-#define SCnSCB_ICTR_INTLINESNUM_Pos         0                                          /*!< ICTR: INTLINESNUM Position */
-#define SCnSCB_ICTR_INTLINESNUM_Msk        (0xFUL << SCnSCB_ICTR_INTLINESNUM_Pos)      /*!< ICTR: INTLINESNUM Mask */
-
-/* Auxiliary Control Register Definitions */
-#define SCnSCB_ACTLR_DISOOFP_Pos            9                                          /*!< ACTLR: DISOOFP Position */
-#define SCnSCB_ACTLR_DISOOFP_Msk           (1UL << SCnSCB_ACTLR_DISOOFP_Pos)           /*!< ACTLR: DISOOFP Mask */
-
-#define SCnSCB_ACTLR_DISFPCA_Pos            8                                          /*!< ACTLR: DISFPCA Position */
-#define SCnSCB_ACTLR_DISFPCA_Msk           (1UL << SCnSCB_ACTLR_DISFPCA_Pos)           /*!< ACTLR: DISFPCA Mask */
-
-#define SCnSCB_ACTLR_DISFOLD_Pos            2                                          /*!< ACTLR: DISFOLD Position */
-#define SCnSCB_ACTLR_DISFOLD_Msk           (1UL << SCnSCB_ACTLR_DISFOLD_Pos)           /*!< ACTLR: DISFOLD Mask */
-
-#define SCnSCB_ACTLR_DISDEFWBUF_Pos         1                                          /*!< ACTLR: DISDEFWBUF Position */
-#define SCnSCB_ACTLR_DISDEFWBUF_Msk        (1UL << SCnSCB_ACTLR_DISDEFWBUF_Pos)        /*!< ACTLR: DISDEFWBUF Mask */
-
-#define SCnSCB_ACTLR_DISMCYCINT_Pos         0                                          /*!< ACTLR: DISMCYCINT Position */
-#define SCnSCB_ACTLR_DISMCYCINT_Msk        (1UL << SCnSCB_ACTLR_DISMCYCINT_Pos)        /*!< ACTLR: DISMCYCINT Mask */
-
-/*@} end of group CMSIS_SCnotSCB */
-
-
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_SysTick     System Tick Timer (SysTick)
-    \brief      Type definitions for the System Timer Registers.
-  @{
- */
-
-/** \brief  Structure type to access the System Timer (SysTick).
- */
-typedef struct
-{
-  __IO uint32_t CTRL;                    /*!< Offset: 0x000 (R/W)  SysTick Control and Status Register */
-  __IO uint32_t LOAD;                    /*!< Offset: 0x004 (R/W)  SysTick Reload Value Register       */
-  __IO uint32_t VAL;                     /*!< Offset: 0x008 (R/W)  SysTick Current Value Register      */
-  __I  uint32_t CALIB;                   /*!< Offset: 0x00C (R/ )  SysTick Calibration Register        */
-} SysTick_Type;
-
-/* SysTick Control / Status Register Definitions */
-#define SysTick_CTRL_COUNTFLAG_Pos         16                                             /*!< SysTick CTRL: COUNTFLAG Position */
-#define SysTick_CTRL_COUNTFLAG_Msk         (1UL << SysTick_CTRL_COUNTFLAG_Pos)            /*!< SysTick CTRL: COUNTFLAG Mask */
-
-#define SysTick_CTRL_CLKSOURCE_Pos          2                                             /*!< SysTick CTRL: CLKSOURCE Position */
-#define SysTick_CTRL_CLKSOURCE_Msk         (1UL << SysTick_CTRL_CLKSOURCE_Pos)            /*!< SysTick CTRL: CLKSOURCE Mask */
-
-#define SysTick_CTRL_TICKINT_Pos            1                                             /*!< SysTick CTRL: TICKINT Position */
-#define SysTick_CTRL_TICKINT_Msk           (1UL << SysTick_CTRL_TICKINT_Pos)              /*!< SysTick CTRL: TICKINT Mask */
-
-#define SysTick_CTRL_ENABLE_Pos             0                                             /*!< SysTick CTRL: ENABLE Position */
-#define SysTick_CTRL_ENABLE_Msk            (1UL << SysTick_CTRL_ENABLE_Pos)               /*!< SysTick CTRL: ENABLE Mask */
-
-/* SysTick Reload Register Definitions */
-#define SysTick_LOAD_RELOAD_Pos             0                                             /*!< SysTick LOAD: RELOAD Position */
-#define SysTick_LOAD_RELOAD_Msk            (0xFFFFFFUL << SysTick_LOAD_RELOAD_Pos)        /*!< SysTick LOAD: RELOAD Mask */
-
-/* SysTick Current Register Definitions */
-#define SysTick_VAL_CURRENT_Pos             0                                             /*!< SysTick VAL: CURRENT Position */
-#define SysTick_VAL_CURRENT_Msk            (0xFFFFFFUL << SysTick_VAL_CURRENT_Pos)        /*!< SysTick VAL: CURRENT Mask */
-
-/* SysTick Calibration Register Definitions */
-#define SysTick_CALIB_NOREF_Pos            31                                             /*!< SysTick CALIB: NOREF Position */
-#define SysTick_CALIB_NOREF_Msk            (1UL << SysTick_CALIB_NOREF_Pos)               /*!< SysTick CALIB: NOREF Mask */
-
-#define SysTick_CALIB_SKEW_Pos             30                                             /*!< SysTick CALIB: SKEW Position */
-#define SysTick_CALIB_SKEW_Msk             (1UL << SysTick_CALIB_SKEW_Pos)                /*!< SysTick CALIB: SKEW Mask */
-
-#define SysTick_CALIB_TENMS_Pos             0                                             /*!< SysTick CALIB: TENMS Position */
-#define SysTick_CALIB_TENMS_Msk            (0xFFFFFFUL << SysTick_VAL_CURRENT_Pos)        /*!< SysTick CALIB: TENMS Mask */
-
-/*@} end of group CMSIS_SysTick */
-
-
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_ITM     Instrumentation Trace Macrocell (ITM)
-    \brief      Type definitions for the Instrumentation Trace Macrocell (ITM)
-  @{
- */
-
-/** \brief  Structure type to access the Instrumentation Trace Macrocell Register (ITM).
- */
-typedef struct
-{
-  __O  union
-  {
-    __O  uint8_t    u8;                  /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 8-bit                   */
-    __O  uint16_t   u16;                 /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 16-bit                  */
-    __O  uint32_t   u32;                 /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 32-bit                  */
-  }  PORT [32];                          /*!< Offset: 0x000 ( /W)  ITM Stimulus Port Registers               */
-       uint32_t RESERVED0[864];
-  __IO uint32_t TER;                     /*!< Offset: 0xE00 (R/W)  ITM Trace Enable Register                 */
-       uint32_t RESERVED1[15];
-  __IO uint32_t TPR;                     /*!< Offset: 0xE40 (R/W)  ITM Trace Privilege Register              */
-       uint32_t RESERVED2[15];
-  __IO uint32_t TCR;                     /*!< Offset: 0xE80 (R/W)  ITM Trace Control Register                */
-       uint32_t RESERVED3[29];                                  
-  __O  uint32_t IWR;                     /*!< Offset: 0xEF8 ( /W)  ITM Integration Write Register            */
-  __I  uint32_t IRR;                     /*!< Offset: 0xEFC (R/ )  ITM Integration Read Register             */
-  __IO uint32_t IMCR;                    /*!< Offset: 0xF00 (R/W)  ITM Integration Mode Control Register     */
-       uint32_t RESERVED4[43];                                  
-  __O  uint32_t LAR;                     /*!< Offset: 0xFB0 ( /W)  ITM Lock Access Register                  */
-  __I  uint32_t LSR;                     /*!< Offset: 0xFB4 (R/ )  ITM Lock Status Register                  */
-       uint32_t RESERVED5[6];                                   
-  __I  uint32_t PID4;                    /*!< Offset: 0xFD0 (R/ )  ITM Peripheral Identification Register #4 */
-  __I  uint32_t PID5;                    /*!< Offset: 0xFD4 (R/ )  ITM Peripheral Identification Register #5 */
-  __I  uint32_t PID6;                    /*!< Offset: 0xFD8 (R/ )  ITM Peripheral Identification Register #6 */
-  __I  uint32_t PID7;                    /*!< Offset: 0xFDC (R/ )  ITM Peripheral Identification Register #7 */
-  __I  uint32_t PID0;                    /*!< Offset: 0xFE0 (R/ )  ITM Peripheral Identification Register #0 */
-  __I  uint32_t PID1;                    /*!< Offset: 0xFE4 (R/ )  ITM Peripheral Identification Register #1 */
-  __I  uint32_t PID2;                    /*!< Offset: 0xFE8 (R/ )  ITM Peripheral Identification Register #2 */
-  __I  uint32_t PID3;                    /*!< Offset: 0xFEC (R/ )  ITM Peripheral Identification Register #3 */
-  __I  uint32_t CID0;                    /*!< Offset: 0xFF0 (R/ )  ITM Component  Identification Register #0 */
-  __I  uint32_t CID1;                    /*!< Offset: 0xFF4 (R/ )  ITM Component  Identification Register #1 */
-  __I  uint32_t CID2;                    /*!< Offset: 0xFF8 (R/ )  ITM Component  Identification Register #2 */
-  __I  uint32_t CID3;                    /*!< Offset: 0xFFC (R/ )  ITM Component  Identification Register #3 */
-} ITM_Type;
-
-/* ITM Trace Privilege Register Definitions */
-#define ITM_TPR_PRIVMASK_Pos                0                                             /*!< ITM TPR: PRIVMASK Position */
-#define ITM_TPR_PRIVMASK_Msk               (0xFUL << ITM_TPR_PRIVMASK_Pos)                /*!< ITM TPR: PRIVMASK Mask */
-
-/* ITM Trace Control Register Definitions */
-#define ITM_TCR_BUSY_Pos                   23                                             /*!< ITM TCR: BUSY Position */
-#define ITM_TCR_BUSY_Msk                   (1UL << ITM_TCR_BUSY_Pos)                      /*!< ITM TCR: BUSY Mask */
-
-#define ITM_TCR_TraceBusID_Pos             16                                             /*!< ITM TCR: ATBID Position */
-#define ITM_TCR_TraceBusID_Msk             (0x7FUL << ITM_TCR_TraceBusID_Pos)             /*!< ITM TCR: ATBID Mask */
-
-#define ITM_TCR_GTSFREQ_Pos                10                                             /*!< ITM TCR: Global timestamp frequency Position */
-#define ITM_TCR_GTSFREQ_Msk                (3UL << ITM_TCR_GTSFREQ_Pos)                   /*!< ITM TCR: Global timestamp frequency Mask */
-
-#define ITM_TCR_TSPrescale_Pos              8                                             /*!< ITM TCR: TSPrescale Position */
-#define ITM_TCR_TSPrescale_Msk             (3UL << ITM_TCR_TSPrescale_Pos)                /*!< ITM TCR: TSPrescale Mask */
-
-#define ITM_TCR_SWOENA_Pos                  4                                             /*!< ITM TCR: SWOENA Position */
-#define ITM_TCR_SWOENA_Msk                 (1UL << ITM_TCR_SWOENA_Pos)                    /*!< ITM TCR: SWOENA Mask */
-
-#define ITM_TCR_DWTENA_Pos                  3                                             /*!< ITM TCR: DWTENA Position */
-#define ITM_TCR_DWTENA_Msk                 (1UL << ITM_TCR_DWTENA_Pos)                    /*!< ITM TCR: DWTENA Mask */
-
-#define ITM_TCR_SYNCENA_Pos                 2                                             /*!< ITM TCR: SYNCENA Position */
-#define ITM_TCR_SYNCENA_Msk                (1UL << ITM_TCR_SYNCENA_Pos)                   /*!< ITM TCR: SYNCENA Mask */
-
-#define ITM_TCR_TSENA_Pos                   1                                             /*!< ITM TCR: TSENA Position */
-#define ITM_TCR_TSENA_Msk                  (1UL << ITM_TCR_TSENA_Pos)                     /*!< ITM TCR: TSENA Mask */
-
-#define ITM_TCR_ITMENA_Pos                  0                                             /*!< ITM TCR: ITM Enable bit Position */
-#define ITM_TCR_ITMENA_Msk                 (1UL << ITM_TCR_ITMENA_Pos)                    /*!< ITM TCR: ITM Enable bit Mask */
-
-/* ITM Integration Write Register Definitions */
-#define ITM_IWR_ATVALIDM_Pos                0                                             /*!< ITM IWR: ATVALIDM Position */
-#define ITM_IWR_ATVALIDM_Msk               (1UL << ITM_IWR_ATVALIDM_Pos)                  /*!< ITM IWR: ATVALIDM Mask */
-
-/* ITM Integration Read Register Definitions */
-#define ITM_IRR_ATREADYM_Pos                0                                             /*!< ITM IRR: ATREADYM Position */
-#define ITM_IRR_ATREADYM_Msk               (1UL << ITM_IRR_ATREADYM_Pos)                  /*!< ITM IRR: ATREADYM Mask */
-
-/* ITM Integration Mode Control Register Definitions */
-#define ITM_IMCR_INTEGRATION_Pos            0                                             /*!< ITM IMCR: INTEGRATION Position */
-#define ITM_IMCR_INTEGRATION_Msk           (1UL << ITM_IMCR_INTEGRATION_Pos)              /*!< ITM IMCR: INTEGRATION Mask */
-
-/* ITM Lock Status Register Definitions */
-#define ITM_LSR_ByteAcc_Pos                 2                                             /*!< ITM LSR: ByteAcc Position */
-#define ITM_LSR_ByteAcc_Msk                (1UL << ITM_LSR_ByteAcc_Pos)                   /*!< ITM LSR: ByteAcc Mask */
-
-#define ITM_LSR_Access_Pos                  1                                             /*!< ITM LSR: Access Position */
-#define ITM_LSR_Access_Msk                 (1UL << ITM_LSR_Access_Pos)                    /*!< ITM LSR: Access Mask */
-
-#define ITM_LSR_Present_Pos                 0                                             /*!< ITM LSR: Present Position */
-#define ITM_LSR_Present_Msk                (1UL << ITM_LSR_Present_Pos)                   /*!< ITM LSR: Present Mask */
-
-/*@}*/ /* end of group CMSIS_ITM */
-
-
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_DWT     Data Watchpoint and Trace (DWT)
-    \brief      Type definitions for the Data Watchpoint and Trace (DWT)
-  @{
- */
-
-/** \brief  Structure type to access the Data Watchpoint and Trace Register (DWT).
- */
-typedef struct
-{
-  __IO uint32_t CTRL;                    /*!< Offset: 0x000 (R/W)  Control Register                          */
-  __IO uint32_t CYCCNT;                  /*!< Offset: 0x004 (R/W)  Cycle Count Register                      */
-  __IO uint32_t CPICNT;                  /*!< Offset: 0x008 (R/W)  CPI Count Register                        */
-  __IO uint32_t EXCCNT;                  /*!< Offset: 0x00C (R/W)  Exception Overhead Count Register         */
-  __IO uint32_t SLEEPCNT;                /*!< Offset: 0x010 (R/W)  Sleep Count Register                      */
-  __IO uint32_t LSUCNT;                  /*!< Offset: 0x014 (R/W)  LSU Count Register                        */
-  __IO uint32_t FOLDCNT;                 /*!< Offset: 0x018 (R/W)  Folded-instruction Count Register         */
-  __I  uint32_t PCSR;                    /*!< Offset: 0x01C (R/ )  Program Counter Sample Register           */
-  __IO uint32_t COMP0;                   /*!< Offset: 0x020 (R/W)  Comparator Register 0                     */
-  __IO uint32_t MASK0;                   /*!< Offset: 0x024 (R/W)  Mask Register 0                           */
-  __IO uint32_t FUNCTION0;               /*!< Offset: 0x028 (R/W)  Function Register 0                       */
-       uint32_t RESERVED0[1];
-  __IO uint32_t COMP1;                   /*!< Offset: 0x030 (R/W)  Comparator Register 1                     */
-  __IO uint32_t MASK1;                   /*!< Offset: 0x034 (R/W)  Mask Register 1                           */
-  __IO uint32_t FUNCTION1;               /*!< Offset: 0x038 (R/W)  Function Register 1                       */
-       uint32_t RESERVED1[1];
-  __IO uint32_t COMP2;                   /*!< Offset: 0x040 (R/W)  Comparator Register 2                     */
-  __IO uint32_t MASK2;                   /*!< Offset: 0x044 (R/W)  Mask Register 2                           */
-  __IO uint32_t FUNCTION2;               /*!< Offset: 0x048 (R/W)  Function Register 2                       */
-       uint32_t RESERVED2[1];
-  __IO uint32_t COMP3;                   /*!< Offset: 0x050 (R/W)  Comparator Register 3                     */
-  __IO uint32_t MASK3;                   /*!< Offset: 0x054 (R/W)  Mask Register 3                           */
-  __IO uint32_t FUNCTION3;               /*!< Offset: 0x058 (R/W)  Function Register 3                       */
-} DWT_Type;
-
-/* DWT Control Register Definitions */
-#define DWT_CTRL_NUMCOMP_Pos               28                                          /*!< DWT CTRL: NUMCOMP Position */
-#define DWT_CTRL_NUMCOMP_Msk               (0xFUL << DWT_CTRL_NUMCOMP_Pos)             /*!< DWT CTRL: NUMCOMP Mask */
-
-#define DWT_CTRL_NOTRCPKT_Pos              27                                          /*!< DWT CTRL: NOTRCPKT Position */
-#define DWT_CTRL_NOTRCPKT_Msk              (0x1UL << DWT_CTRL_NOTRCPKT_Pos)            /*!< DWT CTRL: NOTRCPKT Mask */
-
-#define DWT_CTRL_NOEXTTRIG_Pos             26                                          /*!< DWT CTRL: NOEXTTRIG Position */
-#define DWT_CTRL_NOEXTTRIG_Msk             (0x1UL << DWT_CTRL_NOEXTTRIG_Pos)           /*!< DWT CTRL: NOEXTTRIG Mask */
-
-#define DWT_CTRL_NOCYCCNT_Pos              25                                          /*!< DWT CTRL: NOCYCCNT Position */
-#define DWT_CTRL_NOCYCCNT_Msk              (0x1UL << DWT_CTRL_NOCYCCNT_Pos)            /*!< DWT CTRL: NOCYCCNT Mask */
-
-#define DWT_CTRL_NOPRFCNT_Pos              24                                          /*!< DWT CTRL: NOPRFCNT Position */
-#define DWT_CTRL_NOPRFCNT_Msk              (0x1UL << DWT_CTRL_NOPRFCNT_Pos)            /*!< DWT CTRL: NOPRFCNT Mask */
-
-#define DWT_CTRL_CYCEVTENA_Pos             22                                          /*!< DWT CTRL: CYCEVTENA Position */
-#define DWT_CTRL_CYCEVTENA_Msk             (0x1UL << DWT_CTRL_CYCEVTENA_Pos)           /*!< DWT CTRL: CYCEVTENA Mask */
-
-#define DWT_CTRL_FOLDEVTENA_Pos            21                                          /*!< DWT CTRL: FOLDEVTENA Position */
-#define DWT_CTRL_FOLDEVTENA_Msk            (0x1UL << DWT_CTRL_FOLDEVTENA_Pos)          /*!< DWT CTRL: FOLDEVTENA Mask */
-
-#define DWT_CTRL_LSUEVTENA_Pos             20                                          /*!< DWT CTRL: LSUEVTENA Position */
-#define DWT_CTRL_LSUEVTENA_Msk             (0x1UL << DWT_CTRL_LSUEVTENA_Pos)           /*!< DWT CTRL: LSUEVTENA Mask */
-
-#define DWT_CTRL_SLEEPEVTENA_Pos           19                                          /*!< DWT CTRL: SLEEPEVTENA Position */
-#define DWT_CTRL_SLEEPEVTENA_Msk           (0x1UL << DWT_CTRL_SLEEPEVTENA_Pos)         /*!< DWT CTRL: SLEEPEVTENA Mask */
-
-#define DWT_CTRL_EXCEVTENA_Pos             18                                          /*!< DWT CTRL: EXCEVTENA Position */
-#define DWT_CTRL_EXCEVTENA_Msk             (0x1UL << DWT_CTRL_EXCEVTENA_Pos)           /*!< DWT CTRL: EXCEVTENA Mask */
-
-#define DWT_CTRL_CPIEVTENA_Pos             17                                          /*!< DWT CTRL: CPIEVTENA Position */
-#define DWT_CTRL_CPIEVTENA_Msk             (0x1UL << DWT_CTRL_CPIEVTENA_Pos)           /*!< DWT CTRL: CPIEVTENA Mask */
-
-#define DWT_CTRL_EXCTRCENA_Pos             16                                          /*!< DWT CTRL: EXCTRCENA Position */
-#define DWT_CTRL_EXCTRCENA_Msk             (0x1UL << DWT_CTRL_EXCTRCENA_Pos)           /*!< DWT CTRL: EXCTRCENA Mask */
-
-#define DWT_CTRL_PCSAMPLENA_Pos            12                                          /*!< DWT CTRL: PCSAMPLENA Position */
-#define DWT_CTRL_PCSAMPLENA_Msk            (0x1UL << DWT_CTRL_PCSAMPLENA_Pos)          /*!< DWT CTRL: PCSAMPLENA Mask */
-
-#define DWT_CTRL_SYNCTAP_Pos               10                                          /*!< DWT CTRL: SYNCTAP Position */
-#define DWT_CTRL_SYNCTAP_Msk               (0x3UL << DWT_CTRL_SYNCTAP_Pos)             /*!< DWT CTRL: SYNCTAP Mask */
-
-#define DWT_CTRL_CYCTAP_Pos                 9                                          /*!< DWT CTRL: CYCTAP Position */
-#define DWT_CTRL_CYCTAP_Msk                (0x1UL << DWT_CTRL_CYCTAP_Pos)              /*!< DWT CTRL: CYCTAP Mask */
-
-#define DWT_CTRL_POSTINIT_Pos               5                                          /*!< DWT CTRL: POSTINIT Position */
-#define DWT_CTRL_POSTINIT_Msk              (0xFUL << DWT_CTRL_POSTINIT_Pos)            /*!< DWT CTRL: POSTINIT Mask */
-
-#define DWT_CTRL_POSTPRESET_Pos             1                                          /*!< DWT CTRL: POSTPRESET Position */
-#define DWT_CTRL_POSTPRESET_Msk            (0xFUL << DWT_CTRL_POSTPRESET_Pos)          /*!< DWT CTRL: POSTPRESET Mask */
-
-#define DWT_CTRL_CYCCNTENA_Pos              0                                          /*!< DWT CTRL: CYCCNTENA Position */
-#define DWT_CTRL_CYCCNTENA_Msk             (0x1UL << DWT_CTRL_CYCCNTENA_Pos)           /*!< DWT CTRL: CYCCNTENA Mask */
-
-/* DWT CPI Count Register Definitions */
-#define DWT_CPICNT_CPICNT_Pos               0                                          /*!< DWT CPICNT: CPICNT Position */
-#define DWT_CPICNT_CPICNT_Msk              (0xFFUL << DWT_CPICNT_CPICNT_Pos)           /*!< DWT CPICNT: CPICNT Mask */
-
-/* DWT Exception Overhead Count Register Definitions */
-#define DWT_EXCCNT_EXCCNT_Pos               0                                          /*!< DWT EXCCNT: EXCCNT Position */
-#define DWT_EXCCNT_EXCCNT_Msk              (0xFFUL << DWT_EXCCNT_EXCCNT_Pos)           /*!< DWT EXCCNT: EXCCNT Mask */
-
-/* DWT Sleep Count Register Definitions */
-#define DWT_SLEEPCNT_SLEEPCNT_Pos           0                                          /*!< DWT SLEEPCNT: SLEEPCNT Position */
-#define DWT_SLEEPCNT_SLEEPCNT_Msk          (0xFFUL << DWT_SLEEPCNT_SLEEPCNT_Pos)       /*!< DWT SLEEPCNT: SLEEPCNT Mask */
-
-/* DWT LSU Count Register Definitions */
-#define DWT_LSUCNT_LSUCNT_Pos               0                                          /*!< DWT LSUCNT: LSUCNT Position */
-#define DWT_LSUCNT_LSUCNT_Msk              (0xFFUL << DWT_LSUCNT_LSUCNT_Pos)           /*!< DWT LSUCNT: LSUCNT Mask */
-
-/* DWT Folded-instruction Count Register Definitions */
-#define DWT_FOLDCNT_FOLDCNT_Pos             0                                          /*!< DWT FOLDCNT: FOLDCNT Position */
-#define DWT_FOLDCNT_FOLDCNT_Msk            (0xFFUL << DWT_FOLDCNT_FOLDCNT_Pos)         /*!< DWT FOLDCNT: FOLDCNT Mask */
-
-/* DWT Comparator Mask Register Definitions */
-#define DWT_MASK_MASK_Pos                   0                                          /*!< DWT MASK: MASK Position */
-#define DWT_MASK_MASK_Msk                  (0x1FUL << DWT_MASK_MASK_Pos)               /*!< DWT MASK: MASK Mask */
-
-/* DWT Comparator Function Register Definitions */
-#define DWT_FUNCTION_MATCHED_Pos           24                                          /*!< DWT FUNCTION: MATCHED Position */
-#define DWT_FUNCTION_MATCHED_Msk           (0x1UL << DWT_FUNCTION_MATCHED_Pos)         /*!< DWT FUNCTION: MATCHED Mask */
-
-#define DWT_FUNCTION_DATAVADDR1_Pos        16                                          /*!< DWT FUNCTION: DATAVADDR1 Position */
-#define DWT_FUNCTION_DATAVADDR1_Msk        (0xFUL << DWT_FUNCTION_DATAVADDR1_Pos)      /*!< DWT FUNCTION: DATAVADDR1 Mask */
-
-#define DWT_FUNCTION_DATAVADDR0_Pos        12                                          /*!< DWT FUNCTION: DATAVADDR0 Position */
-#define DWT_FUNCTION_DATAVADDR0_Msk        (0xFUL << DWT_FUNCTION_DATAVADDR0_Pos)      /*!< DWT FUNCTION: DATAVADDR0 Mask */
-
-#define DWT_FUNCTION_DATAVSIZE_Pos         10                                          /*!< DWT FUNCTION: DATAVSIZE Position */
-#define DWT_FUNCTION_DATAVSIZE_Msk         (0x3UL << DWT_FUNCTION_DATAVSIZE_Pos)       /*!< DWT FUNCTION: DATAVSIZE Mask */
-
-#define DWT_FUNCTION_LNK1ENA_Pos            9                                          /*!< DWT FUNCTION: LNK1ENA Position */
-#define DWT_FUNCTION_LNK1ENA_Msk           (0x1UL << DWT_FUNCTION_LNK1ENA_Pos)         /*!< DWT FUNCTION: LNK1ENA Mask */
-
-#define DWT_FUNCTION_DATAVMATCH_Pos         8                                          /*!< DWT FUNCTION: DATAVMATCH Position */
-#define DWT_FUNCTION_DATAVMATCH_Msk        (0x1UL << DWT_FUNCTION_DATAVMATCH_Pos)      /*!< DWT FUNCTION: DATAVMATCH Mask */
-
-#define DWT_FUNCTION_CYCMATCH_Pos           7                                          /*!< DWT FUNCTION: CYCMATCH Position */
-#define DWT_FUNCTION_CYCMATCH_Msk          (0x1UL << DWT_FUNCTION_CYCMATCH_Pos)        /*!< DWT FUNCTION: CYCMATCH Mask */
-
-#define DWT_FUNCTION_EMITRANGE_Pos          5                                          /*!< DWT FUNCTION: EMITRANGE Position */
-#define DWT_FUNCTION_EMITRANGE_Msk         (0x1UL << DWT_FUNCTION_EMITRANGE_Pos)       /*!< DWT FUNCTION: EMITRANGE Mask */
-
-#define DWT_FUNCTION_FUNCTION_Pos           0                                          /*!< DWT FUNCTION: FUNCTION Position */
-#define DWT_FUNCTION_FUNCTION_Msk          (0xFUL << DWT_FUNCTION_FUNCTION_Pos)        /*!< DWT FUNCTION: FUNCTION Mask */
-
-/*@}*/ /* end of group CMSIS_DWT */
-
-
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_TPI     Trace Port Interface (TPI)
-    \brief      Type definitions for the Trace Port Interface (TPI)
-  @{
- */
-
-/** \brief  Structure type to access the Trace Port Interface Register (TPI).
- */
-typedef struct
-{
-  __IO uint32_t SSPSR;                   /*!< Offset: 0x000 (R/ )  Supported Parallel Port Size Register     */
-  __IO uint32_t CSPSR;                   /*!< Offset: 0x004 (R/W)  Current Parallel Port Size Register */
-       uint32_t RESERVED0[2];
-  __IO uint32_t ACPR;                    /*!< Offset: 0x010 (R/W)  Asynchronous Clock Prescaler Register */
-       uint32_t RESERVED1[55];
-  __IO uint32_t SPPR;                    /*!< Offset: 0x0F0 (R/W)  Selected Pin Protocol Register */
-       uint32_t RESERVED2[131];
-  __I  uint32_t FFSR;                    /*!< Offset: 0x300 (R/ )  Formatter and Flush Status Register */
-  __IO uint32_t FFCR;                    /*!< Offset: 0x304 (R/W)  Formatter and Flush Control Register */
-  __I  uint32_t FSCR;                    /*!< Offset: 0x308 (R/ )  Formatter Synchronization Counter Register */
-       uint32_t RESERVED3[759];
-  __I  uint32_t TRIGGER;                 /*!< Offset: 0xEE8 (R/ )  TRIGGER */
-  __I  uint32_t FIFO0;                   /*!< Offset: 0xEEC (R/ )  Integration ETM Data */
-  __I  uint32_t ITATBCTR2;               /*!< Offset: 0xEF0 (R/ )  ITATBCTR2 */
-       uint32_t RESERVED4[1];
-  __I  uint32_t ITATBCTR0;               /*!< Offset: 0xEF8 (R/ )  ITATBCTR0 */
-  __I  uint32_t FIFO1;                   /*!< Offset: 0xEFC (R/ )  Integration ITM Data */
-  __IO uint32_t ITCTRL;                  /*!< Offset: 0xF00 (R/W)  Integration Mode Control */
-       uint32_t RESERVED5[39];
-  __IO uint32_t CLAIMSET;                /*!< Offset: 0xFA0 (R/W)  Claim tag set */
-  __IO uint32_t CLAIMCLR;                /*!< Offset: 0xFA4 (R/W)  Claim tag clear */
-       uint32_t RESERVED7[8];
-  __I  uint32_t DEVID;                   /*!< Offset: 0xFC8 (R/ )  TPIU_DEVID */
-  __I  uint32_t DEVTYPE;                 /*!< Offset: 0xFCC (R/ )  TPIU_DEVTYPE */
-} TPI_Type;
-
-/* TPI Asynchronous Clock Prescaler Register Definitions */
-#define TPI_ACPR_PRESCALER_Pos              0                                          /*!< TPI ACPR: PRESCALER Position */
-#define TPI_ACPR_PRESCALER_Msk             (0x1FFFUL << TPI_ACPR_PRESCALER_Pos)        /*!< TPI ACPR: PRESCALER Mask */
-
-/* TPI Selected Pin Protocol Register Definitions */
-#define TPI_SPPR_TXMODE_Pos                 0                                          /*!< TPI SPPR: TXMODE Position */
-#define TPI_SPPR_TXMODE_Msk                (0x3UL << TPI_SPPR_TXMODE_Pos)              /*!< TPI SPPR: TXMODE Mask */
-
-/* TPI Formatter and Flush Status Register Definitions */
-#define TPI_FFSR_FtNonStop_Pos              3                                          /*!< TPI FFSR: FtNonStop Position */
-#define TPI_FFSR_FtNonStop_Msk             (0x1UL << TPI_FFSR_FtNonStop_Pos)           /*!< TPI FFSR: FtNonStop Mask */
-
-#define TPI_FFSR_TCPresent_Pos              2                                          /*!< TPI FFSR: TCPresent Position */
-#define TPI_FFSR_TCPresent_Msk             (0x1UL << TPI_FFSR_TCPresent_Pos)           /*!< TPI FFSR: TCPresent Mask */
-
-#define TPI_FFSR_FtStopped_Pos              1                                          /*!< TPI FFSR: FtStopped Position */
-#define TPI_FFSR_FtStopped_Msk             (0x1UL << TPI_FFSR_FtStopped_Pos)           /*!< TPI FFSR: FtStopped Mask */
-
-#define TPI_FFSR_FlInProg_Pos               0                                          /*!< TPI FFSR: FlInProg Position */
-#define TPI_FFSR_FlInProg_Msk              (0x1UL << TPI_FFSR_FlInProg_Pos)            /*!< TPI FFSR: FlInProg Mask */
-
-/* TPI Formatter and Flush Control Register Definitions */
-#define TPI_FFCR_TrigIn_Pos                 8                                          /*!< TPI FFCR: TrigIn Position */
-#define TPI_FFCR_TrigIn_Msk                (0x1UL << TPI_FFCR_TrigIn_Pos)              /*!< TPI FFCR: TrigIn Mask */
-
-#define TPI_FFCR_EnFCont_Pos                1                                          /*!< TPI FFCR: EnFCont Position */
-#define TPI_FFCR_EnFCont_Msk               (0x1UL << TPI_FFCR_EnFCont_Pos)             /*!< TPI FFCR: EnFCont Mask */
-
-/* TPI TRIGGER Register Definitions */
-#define TPI_TRIGGER_TRIGGER_Pos             0                                          /*!< TPI TRIGGER: TRIGGER Position */
-#define TPI_TRIGGER_TRIGGER_Msk            (0x1UL << TPI_TRIGGER_TRIGGER_Pos)          /*!< TPI TRIGGER: TRIGGER Mask */
-
-/* TPI Integration ETM Data Register Definitions (FIFO0) */
-#define TPI_FIFO0_ITM_ATVALID_Pos          29                                          /*!< TPI FIFO0: ITM_ATVALID Position */
-#define TPI_FIFO0_ITM_ATVALID_Msk          (0x3UL << TPI_FIFO0_ITM_ATVALID_Pos)        /*!< TPI FIFO0: ITM_ATVALID Mask */
-
-#define TPI_FIFO0_ITM_bytecount_Pos        27                                          /*!< TPI FIFO0: ITM_bytecount Position */
-#define TPI_FIFO0_ITM_bytecount_Msk        (0x3UL << TPI_FIFO0_ITM_bytecount_Pos)      /*!< TPI FIFO0: ITM_bytecount Mask */
-
-#define TPI_FIFO0_ETM_ATVALID_Pos          26                                          /*!< TPI FIFO0: ETM_ATVALID Position */
-#define TPI_FIFO0_ETM_ATVALID_Msk          (0x3UL << TPI_FIFO0_ETM_ATVALID_Pos)        /*!< TPI FIFO0: ETM_ATVALID Mask */
-
-#define TPI_FIFO0_ETM_bytecount_Pos        24                                          /*!< TPI FIFO0: ETM_bytecount Position */
-#define TPI_FIFO0_ETM_bytecount_Msk        (0x3UL << TPI_FIFO0_ETM_bytecount_Pos)      /*!< TPI FIFO0: ETM_bytecount Mask */
-
-#define TPI_FIFO0_ETM2_Pos                 16                                          /*!< TPI FIFO0: ETM2 Position */
-#define TPI_FIFO0_ETM2_Msk                 (0xFFUL << TPI_FIFO0_ETM2_Pos)              /*!< TPI FIFO0: ETM2 Mask */
-
-#define TPI_FIFO0_ETM1_Pos                  8                                          /*!< TPI FIFO0: ETM1 Position */
-#define TPI_FIFO0_ETM1_Msk                 (0xFFUL << TPI_FIFO0_ETM1_Pos)              /*!< TPI FIFO0: ETM1 Mask */
-
-#define TPI_FIFO0_ETM0_Pos                  0                                          /*!< TPI FIFO0: ETM0 Position */
-#define TPI_FIFO0_ETM0_Msk                 (0xFFUL << TPI_FIFO0_ETM0_Pos)              /*!< TPI FIFO0: ETM0 Mask */
-
-/* TPI ITATBCTR2 Register Definitions */
-#define TPI_ITATBCTR2_ATREADY_Pos           0                                          /*!< TPI ITATBCTR2: ATREADY Position */
-#define TPI_ITATBCTR2_ATREADY_Msk          (0x1UL << TPI_ITATBCTR2_ATREADY_Pos)        /*!< TPI ITATBCTR2: ATREADY Mask */
-
-/* TPI Integration ITM Data Register Definitions (FIFO1) */
-#define TPI_FIFO1_ITM_ATVALID_Pos          29                                          /*!< TPI FIFO1: ITM_ATVALID Position */
-#define TPI_FIFO1_ITM_ATVALID_Msk          (0x3UL << TPI_FIFO1_ITM_ATVALID_Pos)        /*!< TPI FIFO1: ITM_ATVALID Mask */
-
-#define TPI_FIFO1_ITM_bytecount_Pos        27                                          /*!< TPI FIFO1: ITM_bytecount Position */
-#define TPI_FIFO1_ITM_bytecount_Msk        (0x3UL << TPI_FIFO1_ITM_bytecount_Pos)      /*!< TPI FIFO1: ITM_bytecount Mask */
-
-#define TPI_FIFO1_ETM_ATVALID_Pos          26                                          /*!< TPI FIFO1: ETM_ATVALID Position */
-#define TPI_FIFO1_ETM_ATVALID_Msk          (0x3UL << TPI_FIFO1_ETM_ATVALID_Pos)        /*!< TPI FIFO1: ETM_ATVALID Mask */
-
-#define TPI_FIFO1_ETM_bytecount_Pos        24                                          /*!< TPI FIFO1: ETM_bytecount Position */
-#define TPI_FIFO1_ETM_bytecount_Msk        (0x3UL << TPI_FIFO1_ETM_bytecount_Pos)      /*!< TPI FIFO1: ETM_bytecount Mask */
-
-#define TPI_FIFO1_ITM2_Pos                 16                                          /*!< TPI FIFO1: ITM2 Position */
-#define TPI_FIFO1_ITM2_Msk                 (0xFFUL << TPI_FIFO1_ITM2_Pos)              /*!< TPI FIFO1: ITM2 Mask */
-
-#define TPI_FIFO1_ITM1_Pos                  8                                          /*!< TPI FIFO1: ITM1 Position */
-#define TPI_FIFO1_ITM1_Msk                 (0xFFUL << TPI_FIFO1_ITM1_Pos)              /*!< TPI FIFO1: ITM1 Mask */
-
-#define TPI_FIFO1_ITM0_Pos                  0                                          /*!< TPI FIFO1: ITM0 Position */
-#define TPI_FIFO1_ITM0_Msk                 (0xFFUL << TPI_FIFO1_ITM0_Pos)              /*!< TPI FIFO1: ITM0 Mask */
-
-/* TPI ITATBCTR0 Register Definitions */
-#define TPI_ITATBCTR0_ATREADY_Pos           0                                          /*!< TPI ITATBCTR0: ATREADY Position */
-#define TPI_ITATBCTR0_ATREADY_Msk          (0x1UL << TPI_ITATBCTR0_ATREADY_Pos)        /*!< TPI ITATBCTR0: ATREADY Mask */
-
-/* TPI Integration Mode Control Register Definitions */
-#define TPI_ITCTRL_Mode_Pos                 0                                          /*!< TPI ITCTRL: Mode Position */
-#define TPI_ITCTRL_Mode_Msk                (0x1UL << TPI_ITCTRL_Mode_Pos)              /*!< TPI ITCTRL: Mode Mask */
-
-/* TPI DEVID Register Definitions */
-#define TPI_DEVID_NRZVALID_Pos             11                                          /*!< TPI DEVID: NRZVALID Position */
-#define TPI_DEVID_NRZVALID_Msk             (0x1UL << TPI_DEVID_NRZVALID_Pos)           /*!< TPI DEVID: NRZVALID Mask */
-
-#define TPI_DEVID_MANCVALID_Pos            10                                          /*!< TPI DEVID: MANCVALID Position */
-#define TPI_DEVID_MANCVALID_Msk            (0x1UL << TPI_DEVID_MANCVALID_Pos)          /*!< TPI DEVID: MANCVALID Mask */
-
-#define TPI_DEVID_PTINVALID_Pos             9                                          /*!< TPI DEVID: PTINVALID Position */
-#define TPI_DEVID_PTINVALID_Msk            (0x1UL << TPI_DEVID_PTINVALID_Pos)          /*!< TPI DEVID: PTINVALID Mask */
-
-#define TPI_DEVID_MinBufSz_Pos              6                                          /*!< TPI DEVID: MinBufSz Position */
-#define TPI_DEVID_MinBufSz_Msk             (0x7UL << TPI_DEVID_MinBufSz_Pos)           /*!< TPI DEVID: MinBufSz Mask */
-
-#define TPI_DEVID_AsynClkIn_Pos             5                                          /*!< TPI DEVID: AsynClkIn Position */
-#define TPI_DEVID_AsynClkIn_Msk            (0x1UL << TPI_DEVID_AsynClkIn_Pos)          /*!< TPI DEVID: AsynClkIn Mask */
-
-#define TPI_DEVID_NrTraceInput_Pos          0                                          /*!< TPI DEVID: NrTraceInput Position */
-#define TPI_DEVID_NrTraceInput_Msk         (0x1FUL << TPI_DEVID_NrTraceInput_Pos)      /*!< TPI DEVID: NrTraceInput Mask */
-
-/* TPI DEVTYPE Register Definitions */
-#define TPI_DEVTYPE_SubType_Pos             0                                          /*!< TPI DEVTYPE: SubType Position */
-#define TPI_DEVTYPE_SubType_Msk            (0xFUL << TPI_DEVTYPE_SubType_Pos)          /*!< TPI DEVTYPE: SubType Mask */
-
-#define TPI_DEVTYPE_MajorType_Pos           4                                          /*!< TPI DEVTYPE: MajorType Position */
-#define TPI_DEVTYPE_MajorType_Msk          (0xFUL << TPI_DEVTYPE_MajorType_Pos)        /*!< TPI DEVTYPE: MajorType Mask */
-
-/*@}*/ /* end of group CMSIS_TPI */
-
-
-#if (__MPU_PRESENT == 1)
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_MPU     Memory Protection Unit (MPU)
-    \brief      Type definitions for the Memory Protection Unit (MPU)
-  @{
- */
-
-/** \brief  Structure type to access the Memory Protection Unit (MPU).
- */
-typedef struct
-{
-  __I  uint32_t TYPE;                    /*!< Offset: 0x000 (R/ )  MPU Type Register                              */
-  __IO uint32_t CTRL;                    /*!< Offset: 0x004 (R/W)  MPU Control Register                           */
-  __IO uint32_t RNR;                     /*!< Offset: 0x008 (R/W)  MPU Region RNRber Register                     */
-  __IO uint32_t RBAR;                    /*!< Offset: 0x00C (R/W)  MPU Region Base Address Register               */
-  __IO uint32_t RASR;                    /*!< Offset: 0x010 (R/W)  MPU Region Attribute and Size Register         */
-  __IO uint32_t RBAR_A1;                 /*!< Offset: 0x014 (R/W)  MPU Alias 1 Region Base Address Register       */
-  __IO uint32_t RASR_A1;                 /*!< Offset: 0x018 (R/W)  MPU Alias 1 Region Attribute and Size Register */
-  __IO uint32_t RBAR_A2;                 /*!< Offset: 0x01C (R/W)  MPU Alias 2 Region Base Address Register       */
-  __IO uint32_t RASR_A2;                 /*!< Offset: 0x020 (R/W)  MPU Alias 2 Region Attribute and Size Register */
-  __IO uint32_t RBAR_A3;                 /*!< Offset: 0x024 (R/W)  MPU Alias 3 Region Base Address Register       */
-  __IO uint32_t RASR_A3;                 /*!< Offset: 0x028 (R/W)  MPU Alias 3 Region Attribute and Size Register */
-} MPU_Type;
-
-/* MPU Type Register */
-#define MPU_TYPE_IREGION_Pos               16                                             /*!< MPU TYPE: IREGION Position */
-#define MPU_TYPE_IREGION_Msk               (0xFFUL << MPU_TYPE_IREGION_Pos)               /*!< MPU TYPE: IREGION Mask */
-
-#define MPU_TYPE_DREGION_Pos                8                                             /*!< MPU TYPE: DREGION Position */
-#define MPU_TYPE_DREGION_Msk               (0xFFUL << MPU_TYPE_DREGION_Pos)               /*!< MPU TYPE: DREGION Mask */
-
-#define MPU_TYPE_SEPARATE_Pos               0                                             /*!< MPU TYPE: SEPARATE Position */
-#define MPU_TYPE_SEPARATE_Msk              (1UL << MPU_TYPE_SEPARATE_Pos)                 /*!< MPU TYPE: SEPARATE Mask */
-
-/* MPU Control Register */
-#define MPU_CTRL_PRIVDEFENA_Pos             2                                             /*!< MPU CTRL: PRIVDEFENA Position */
-#define MPU_CTRL_PRIVDEFENA_Msk            (1UL << MPU_CTRL_PRIVDEFENA_Pos)               /*!< MPU CTRL: PRIVDEFENA Mask */
-
-#define MPU_CTRL_HFNMIENA_Pos               1                                             /*!< MPU CTRL: HFNMIENA Position */
-#define MPU_CTRL_HFNMIENA_Msk              (1UL << MPU_CTRL_HFNMIENA_Pos)                 /*!< MPU CTRL: HFNMIENA Mask */
-
-#define MPU_CTRL_ENABLE_Pos                 0                                             /*!< MPU CTRL: ENABLE Position */
-#define MPU_CTRL_ENABLE_Msk                (1UL << MPU_CTRL_ENABLE_Pos)                   /*!< MPU CTRL: ENABLE Mask */
-
-/* MPU Region Number Register */
-#define MPU_RNR_REGION_Pos                  0                                             /*!< MPU RNR: REGION Position */
-#define MPU_RNR_REGION_Msk                 (0xFFUL << MPU_RNR_REGION_Pos)                 /*!< MPU RNR: REGION Mask */
-
-/* MPU Region Base Address Register */
-#define MPU_RBAR_ADDR_Pos                   5                                             /*!< MPU RBAR: ADDR Position */
-#define MPU_RBAR_ADDR_Msk                  (0x7FFFFFFUL << MPU_RBAR_ADDR_Pos)             /*!< MPU RBAR: ADDR Mask */
-
-#define MPU_RBAR_VALID_Pos                  4                                             /*!< MPU RBAR: VALID Position */
-#define MPU_RBAR_VALID_Msk                 (1UL << MPU_RBAR_VALID_Pos)                    /*!< MPU RBAR: VALID Mask */
-
-#define MPU_RBAR_REGION_Pos                 0                                             /*!< MPU RBAR: REGION Position */
-#define MPU_RBAR_REGION_Msk                (0xFUL << MPU_RBAR_REGION_Pos)                 /*!< MPU RBAR: REGION Mask */
-
-/* MPU Region Attribute and Size Register */
-#define MPU_RASR_ATTRS_Pos                 16                                             /*!< MPU RASR: MPU Region Attribute field Position */
-#define MPU_RASR_ATTRS_Msk                 (0xFFFFUL << MPU_RASR_ATTRS_Pos)               /*!< MPU RASR: MPU Region Attribute field Mask */
-
-#define MPU_RASR_XN_Pos                    28                                             /*!< MPU RASR: ATTRS.XN Position */
-#define MPU_RASR_XN_Msk                    (1UL << MPU_RASR_XN_Pos)                       /*!< MPU RASR: ATTRS.XN Mask */
-
-#define MPU_RASR_AP_Pos                    24                                             /*!< MPU RASR: ATTRS.AP Position */
-#define MPU_RASR_AP_Msk                    (0x7UL << MPU_RASR_AP_Pos)                     /*!< MPU RASR: ATTRS.AP Mask */
-
-#define MPU_RASR_TEX_Pos                   19                                             /*!< MPU RASR: ATTRS.TEX Position */
-#define MPU_RASR_TEX_Msk                   (0x7UL << MPU_RASR_TEX_Pos)                    /*!< MPU RASR: ATTRS.TEX Mask */
-
-#define MPU_RASR_S_Pos                     18                                             /*!< MPU RASR: ATTRS.S Position */
-#define MPU_RASR_S_Msk                     (1UL << MPU_RASR_S_Pos)                        /*!< MPU RASR: ATTRS.S Mask */
-
-#define MPU_RASR_C_Pos                     17                                             /*!< MPU RASR: ATTRS.C Position */
-#define MPU_RASR_C_Msk                     (1UL << MPU_RASR_C_Pos)                        /*!< MPU RASR: ATTRS.C Mask */
-
-#define MPU_RASR_B_Pos                     16                                             /*!< MPU RASR: ATTRS.B Position */
-#define MPU_RASR_B_Msk                     (1UL << MPU_RASR_B_Pos)                        /*!< MPU RASR: ATTRS.B Mask */
-
-#define MPU_RASR_SRD_Pos                    8                                             /*!< MPU RASR: Sub-Region Disable Position */
-#define MPU_RASR_SRD_Msk                   (0xFFUL << MPU_RASR_SRD_Pos)                   /*!< MPU RASR: Sub-Region Disable Mask */
-
-#define MPU_RASR_SIZE_Pos                   1                                             /*!< MPU RASR: Region Size Field Position */
-#define MPU_RASR_SIZE_Msk                  (0x1FUL << MPU_RASR_SIZE_Pos)                  /*!< MPU RASR: Region Size Field Mask */
-
-#define MPU_RASR_ENABLE_Pos                 0                                             /*!< MPU RASR: Region enable bit Position */
-#define MPU_RASR_ENABLE_Msk                (1UL << MPU_RASR_ENABLE_Pos)                   /*!< MPU RASR: Region enable bit Disable Mask */
-
-/*@} end of group CMSIS_MPU */
-#endif
-
-
-#if (__FPU_PRESENT == 1)
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_FPU     Floating Point Unit (FPU)
-    \brief      Type definitions for the Floating Point Unit (FPU)
-  @{
- */
-
-/** \brief  Structure type to access the Floating Point Unit (FPU).
- */
-typedef struct
-{
-       uint32_t RESERVED0[1];
-  __IO uint32_t FPCCR;                   /*!< Offset: 0x004 (R/W)  Floating-Point Context Control Register               */
-  __IO uint32_t FPCAR;                   /*!< Offset: 0x008 (R/W)  Floating-Point Context Address Register               */
-  __IO uint32_t FPDSCR;                  /*!< Offset: 0x00C (R/W)  Floating-Point Default Status Control Register        */
-  __I  uint32_t MVFR0;                   /*!< Offset: 0x010 (R/ )  Media and FP Feature Register 0                       */
-  __I  uint32_t MVFR1;                   /*!< Offset: 0x014 (R/ )  Media and FP Feature Register 1                       */
-} FPU_Type;
-
-/* Floating-Point Context Control Register */
-#define FPU_FPCCR_ASPEN_Pos                31                                             /*!< FPCCR: ASPEN bit Position */
-#define FPU_FPCCR_ASPEN_Msk                (1UL << FPU_FPCCR_ASPEN_Pos)                   /*!< FPCCR: ASPEN bit Mask */
-
-#define FPU_FPCCR_LSPEN_Pos                30                                             /*!< FPCCR: LSPEN Position */
-#define FPU_FPCCR_LSPEN_Msk                (1UL << FPU_FPCCR_LSPEN_Pos)                   /*!< FPCCR: LSPEN bit Mask */
-
-#define FPU_FPCCR_MONRDY_Pos                8                                             /*!< FPCCR: MONRDY Position */
-#define FPU_FPCCR_MONRDY_Msk               (1UL << FPU_FPCCR_MONRDY_Pos)                  /*!< FPCCR: MONRDY bit Mask */
-
-#define FPU_FPCCR_BFRDY_Pos                 6                                             /*!< FPCCR: BFRDY Position */
-#define FPU_FPCCR_BFRDY_Msk                (1UL << FPU_FPCCR_BFRDY_Pos)                   /*!< FPCCR: BFRDY bit Mask */
-
-#define FPU_FPCCR_MMRDY_Pos                 5                                             /*!< FPCCR: MMRDY Position */
-#define FPU_FPCCR_MMRDY_Msk                (1UL << FPU_FPCCR_MMRDY_Pos)                   /*!< FPCCR: MMRDY bit Mask */
-
-#define FPU_FPCCR_HFRDY_Pos                 4                                             /*!< FPCCR: HFRDY Position */
-#define FPU_FPCCR_HFRDY_Msk                (1UL << FPU_FPCCR_HFRDY_Pos)                   /*!< FPCCR: HFRDY bit Mask */
-
-#define FPU_FPCCR_THREAD_Pos                3                                             /*!< FPCCR: processor mode bit Position */
-#define FPU_FPCCR_THREAD_Msk               (1UL << FPU_FPCCR_THREAD_Pos)                  /*!< FPCCR: processor mode active bit Mask */
-
-#define FPU_FPCCR_USER_Pos                  1                                             /*!< FPCCR: privilege level bit Position */
-#define FPU_FPCCR_USER_Msk                 (1UL << FPU_FPCCR_USER_Pos)                    /*!< FPCCR: privilege level bit Mask */
-
-#define FPU_FPCCR_LSPACT_Pos                0                                             /*!< FPCCR: Lazy state preservation active bit Position */
-#define FPU_FPCCR_LSPACT_Msk               (1UL << FPU_FPCCR_LSPACT_Pos)                  /*!< FPCCR: Lazy state preservation active bit Mask */
-
-/* Floating-Point Context Address Register */
-#define FPU_FPCAR_ADDRESS_Pos               3                                             /*!< FPCAR: ADDRESS bit Position */
-#define FPU_FPCAR_ADDRESS_Msk              (0x1FFFFFFFUL << FPU_FPCAR_ADDRESS_Pos)        /*!< FPCAR: ADDRESS bit Mask */
-
-/* Floating-Point Default Status Control Register */
-#define FPU_FPDSCR_AHP_Pos                 26                                             /*!< FPDSCR: AHP bit Position */
-#define FPU_FPDSCR_AHP_Msk                 (1UL << FPU_FPDSCR_AHP_Pos)                    /*!< FPDSCR: AHP bit Mask */
-
-#define FPU_FPDSCR_DN_Pos                  25                                             /*!< FPDSCR: DN bit Position */
-#define FPU_FPDSCR_DN_Msk                  (1UL << FPU_FPDSCR_DN_Pos)                     /*!< FPDSCR: DN bit Mask */
-
-#define FPU_FPDSCR_FZ_Pos                  24                                             /*!< FPDSCR: FZ bit Position */
-#define FPU_FPDSCR_FZ_Msk                  (1UL << FPU_FPDSCR_FZ_Pos)                     /*!< FPDSCR: FZ bit Mask */
-
-#define FPU_FPDSCR_RMode_Pos               22                                             /*!< FPDSCR: RMode bit Position */
-#define FPU_FPDSCR_RMode_Msk               (3UL << FPU_FPDSCR_RMode_Pos)                  /*!< FPDSCR: RMode bit Mask */
-
-/* Media and FP Feature Register 0 */
-#define FPU_MVFR0_FP_rounding_modes_Pos    28                                             /*!< MVFR0: FP rounding modes bits Position */
-#define FPU_MVFR0_FP_rounding_modes_Msk    (0xFUL << FPU_MVFR0_FP_rounding_modes_Pos)     /*!< MVFR0: FP rounding modes bits Mask */
-
-#define FPU_MVFR0_Short_vectors_Pos        24                                             /*!< MVFR0: Short vectors bits Position */
-#define FPU_MVFR0_Short_vectors_Msk        (0xFUL << FPU_MVFR0_Short_vectors_Pos)         /*!< MVFR0: Short vectors bits Mask */
-
-#define FPU_MVFR0_Square_root_Pos          20                                             /*!< MVFR0: Square root bits Position */
-#define FPU_MVFR0_Square_root_Msk          (0xFUL << FPU_MVFR0_Square_root_Pos)           /*!< MVFR0: Square root bits Mask */
-
-#define FPU_MVFR0_Divide_Pos               16                                             /*!< MVFR0: Divide bits Position */
-#define FPU_MVFR0_Divide_Msk               (0xFUL << FPU_MVFR0_Divide_Pos)                /*!< MVFR0: Divide bits Mask */
-
-#define FPU_MVFR0_FP_excep_trapping_Pos    12                                             /*!< MVFR0: FP exception trapping bits Position */
-#define FPU_MVFR0_FP_excep_trapping_Msk    (0xFUL << FPU_MVFR0_FP_excep_trapping_Pos)     /*!< MVFR0: FP exception trapping bits Mask */
-
-#define FPU_MVFR0_Double_precision_Pos      8                                             /*!< MVFR0: Double-precision bits Position */
-#define FPU_MVFR0_Double_precision_Msk     (0xFUL << FPU_MVFR0_Double_precision_Pos)      /*!< MVFR0: Double-precision bits Mask */
-
-#define FPU_MVFR0_Single_precision_Pos      4                                             /*!< MVFR0: Single-precision bits Position */
-#define FPU_MVFR0_Single_precision_Msk     (0xFUL << FPU_MVFR0_Single_precision_Pos)      /*!< MVFR0: Single-precision bits Mask */
-
-#define FPU_MVFR0_A_SIMD_registers_Pos      0                                             /*!< MVFR0: A_SIMD registers bits Position */
-#define FPU_MVFR0_A_SIMD_registers_Msk     (0xFUL << FPU_MVFR0_A_SIMD_registers_Pos)      /*!< MVFR0: A_SIMD registers bits Mask */
-
-/* Media and FP Feature Register 1 */
-#define FPU_MVFR1_FP_fused_MAC_Pos         28                                             /*!< MVFR1: FP fused MAC bits Position */
-#define FPU_MVFR1_FP_fused_MAC_Msk         (0xFUL << FPU_MVFR1_FP_fused_MAC_Pos)          /*!< MVFR1: FP fused MAC bits Mask */
-
-#define FPU_MVFR1_FP_HPFP_Pos              24                                             /*!< MVFR1: FP HPFP bits Position */
-#define FPU_MVFR1_FP_HPFP_Msk              (0xFUL << FPU_MVFR1_FP_HPFP_Pos)               /*!< MVFR1: FP HPFP bits Mask */
-
-#define FPU_MVFR1_D_NaN_mode_Pos            4                                             /*!< MVFR1: D_NaN mode bits Position */
-#define FPU_MVFR1_D_NaN_mode_Msk           (0xFUL << FPU_MVFR1_D_NaN_mode_Pos)            /*!< MVFR1: D_NaN mode bits Mask */
-
-#define FPU_MVFR1_FtZ_mode_Pos              0                                             /*!< MVFR1: FtZ mode bits Position */
-#define FPU_MVFR1_FtZ_mode_Msk             (0xFUL << FPU_MVFR1_FtZ_mode_Pos)              /*!< MVFR1: FtZ mode bits Mask */
-
-/*@} end of group CMSIS_FPU */
-#endif
-
-
-/** \ingroup  CMSIS_core_register
-    \defgroup CMSIS_CoreDebug       Core Debug Registers (CoreDebug)
-    \brief      Type definitions for the Core Debug Registers
-  @{
- */
-
-/** \brief  Structure type to access the Core Debug Register (CoreDebug).
- */
-typedef struct
-{
-  __IO uint32_t DHCSR;                   /*!< Offset: 0x000 (R/W)  Debug Halting Control and Status Register    */
-  __O  uint32_t DCRSR;                   /*!< Offset: 0x004 ( /W)  Debug Core Register Selector Register        */
-  __IO uint32_t DCRDR;                   /*!< Offset: 0x008 (R/W)  Debug Core Register Data Register            */
-  __IO uint32_t DEMCR;                   /*!< Offset: 0x00C (R/W)  Debug Exception and Monitor Control Register */
-} CoreDebug_Type;
-
-/* Debug Halting Control and Status Register */
-#define CoreDebug_DHCSR_DBGKEY_Pos         16                                             /*!< CoreDebug DHCSR: DBGKEY Position */
-#define CoreDebug_DHCSR_DBGKEY_Msk         (0xFFFFUL << CoreDebug_DHCSR_DBGKEY_Pos)       /*!< CoreDebug DHCSR: DBGKEY Mask */
-
-#define CoreDebug_DHCSR_S_RESET_ST_Pos     25                                             /*!< CoreDebug DHCSR: S_RESET_ST Position */
-#define CoreDebug_DHCSR_S_RESET_ST_Msk     (1UL << CoreDebug_DHCSR_S_RESET_ST_Pos)        /*!< CoreDebug DHCSR: S_RESET_ST Mask */
-
-#define CoreDebug_DHCSR_S_RETIRE_ST_Pos    24                                             /*!< CoreDebug DHCSR: S_RETIRE_ST Position */
-#define CoreDebug_DHCSR_S_RETIRE_ST_Msk    (1UL << CoreDebug_DHCSR_S_RETIRE_ST_Pos)       /*!< CoreDebug DHCSR: S_RETIRE_ST Mask */
-
-#define CoreDebug_DHCSR_S_LOCKUP_Pos       19                                             /*!< CoreDebug DHCSR: S_LOCKUP Position */
-#define CoreDebug_DHCSR_S_LOCKUP_Msk       (1UL << CoreDebug_DHCSR_S_LOCKUP_Pos)          /*!< CoreDebug DHCSR: S_LOCKUP Mask */
-
-#define CoreDebug_DHCSR_S_SLEEP_Pos        18                                             /*!< CoreDebug DHCSR: S_SLEEP Position */
-#define CoreDebug_DHCSR_S_SLEEP_Msk        (1UL << CoreDebug_DHCSR_S_SLEEP_Pos)           /*!< CoreDebug DHCSR: S_SLEEP Mask */
-
-#define CoreDebug_DHCSR_S_HALT_Pos         17                                             /*!< CoreDebug DHCSR: S_HALT Position */
-#define CoreDebug_DHCSR_S_HALT_Msk         (1UL << CoreDebug_DHCSR_S_HALT_Pos)            /*!< CoreDebug DHCSR: S_HALT Mask */
-
-#define CoreDebug_DHCSR_S_REGRDY_Pos       16                                             /*!< CoreDebug DHCSR: S_REGRDY Position */
-#define CoreDebug_DHCSR_S_REGRDY_Msk       (1UL << CoreDebug_DHCSR_S_REGRDY_Pos)          /*!< CoreDebug DHCSR: S_REGRDY Mask */
-
-#define CoreDebug_DHCSR_C_SNAPSTALL_Pos     5                                             /*!< CoreDebug DHCSR: C_SNAPSTALL Position */
-#define CoreDebug_DHCSR_C_SNAPSTALL_Msk    (1UL << CoreDebug_DHCSR_C_SNAPSTALL_Pos)       /*!< CoreDebug DHCSR: C_SNAPSTALL Mask */
-
-#define CoreDebug_DHCSR_C_MASKINTS_Pos      3                                             /*!< CoreDebug DHCSR: C_MASKINTS Position */
-#define CoreDebug_DHCSR_C_MASKINTS_Msk     (1UL << CoreDebug_DHCSR_C_MASKINTS_Pos)        /*!< CoreDebug DHCSR: C_MASKINTS Mask */
-
-#define CoreDebug_DHCSR_C_STEP_Pos          2                                             /*!< CoreDebug DHCSR: C_STEP Position */
-#define CoreDebug_DHCSR_C_STEP_Msk         (1UL << CoreDebug_DHCSR_C_STEP_Pos)            /*!< CoreDebug DHCSR: C_STEP Mask */
-
-#define CoreDebug_DHCSR_C_HALT_Pos          1                                             /*!< CoreDebug DHCSR: C_HALT Position */
-#define CoreDebug_DHCSR_C_HALT_Msk         (1UL << CoreDebug_DHCSR_C_HALT_Pos)            /*!< CoreDebug DHCSR: C_HALT Mask */
-
-#define CoreDebug_DHCSR_C_DEBUGEN_Pos       0                                             /*!< CoreDebug DHCSR: C_DEBUGEN Position */
-#define CoreDebug_DHCSR_C_DEBUGEN_Msk      (1UL << CoreDebug_DHCSR_C_DEBUGEN_Pos)         /*!< CoreDebug DHCSR: C_DEBUGEN Mask */
-
-/* Debug Core Register Selector Register */
-#define CoreDebug_DCRSR_REGWnR_Pos         16                                             /*!< CoreDebug DCRSR: REGWnR Position */
-#define CoreDebug_DCRSR_REGWnR_Msk         (1UL << CoreDebug_DCRSR_REGWnR_Pos)            /*!< CoreDebug DCRSR: REGWnR Mask */
-
-#define CoreDebug_DCRSR_REGSEL_Pos          0                                             /*!< CoreDebug DCRSR: REGSEL Position */
-#define CoreDebug_DCRSR_REGSEL_Msk         (0x1FUL << CoreDebug_DCRSR_REGSEL_Pos)         /*!< CoreDebug DCRSR: REGSEL Mask */
-
-/* Debug Exception and Monitor Control Register */
-#define CoreDebug_DEMCR_TRCENA_Pos         24                                             /*!< CoreDebug DEMCR: TRCENA Position */
-#define CoreDebug_DEMCR_TRCENA_Msk         (1UL << CoreDebug_DEMCR_TRCENA_Pos)            /*!< CoreDebug DEMCR: TRCENA Mask */
-
-#define CoreDebug_DEMCR_MON_REQ_Pos        19                                             /*!< CoreDebug DEMCR: MON_REQ Position */
-#define CoreDebug_DEMCR_MON_REQ_Msk        (1UL << CoreDebug_DEMCR_MON_REQ_Pos)           /*!< CoreDebug DEMCR: MON_REQ Mask */
-
-#define CoreDebug_DEMCR_MON_STEP_Pos       18                                             /*!< CoreDebug DEMCR: MON_STEP Position */
-#define CoreDebug_DEMCR_MON_STEP_Msk       (1UL << CoreDebug_DEMCR_MON_STEP_Pos)          /*!< CoreDebug DEMCR: MON_STEP Mask */
-
-#define CoreDebug_DEMCR_MON_PEND_Pos       17                                             /*!< CoreDebug DEMCR: MON_PEND Position */
-#define CoreDebug_DEMCR_MON_PEND_Msk       (1UL << CoreDebug_DEMCR_MON_PEND_Pos)          /*!< CoreDebug DEMCR: MON_PEND Mask */
-
-#define CoreDebug_DEMCR_MON_EN_Pos         16                                             /*!< CoreDebug DEMCR: MON_EN Position */
-#define CoreDebug_DEMCR_MON_EN_Msk         (1UL << CoreDebug_DEMCR_MON_EN_Pos)            /*!< CoreDebug DEMCR: MON_EN Mask */
-
-#define CoreDebug_DEMCR_VC_HARDERR_Pos     10                                             /*!< CoreDebug DEMCR: VC_HARDERR Position */
-#define CoreDebug_DEMCR_VC_HARDERR_Msk     (1UL << CoreDebug_DEMCR_VC_HARDERR_Pos)        /*!< CoreDebug DEMCR: VC_HARDERR Mask */
-
-#define CoreDebug_DEMCR_VC_INTERR_Pos       9                                             /*!< CoreDebug DEMCR: VC_INTERR Position */
-#define CoreDebug_DEMCR_VC_INTERR_Msk      (1UL << CoreDebug_DEMCR_VC_INTERR_Pos)         /*!< CoreDebug DEMCR: VC_INTERR Mask */
-
-#define CoreDebug_DEMCR_VC_BUSERR_Pos       8                                             /*!< CoreDebug DEMCR: VC_BUSERR Position */
-#define CoreDebug_DEMCR_VC_BUSERR_Msk      (1UL << CoreDebug_DEMCR_VC_BUSERR_Pos)         /*!< CoreDebug DEMCR: VC_BUSERR Mask */
-
-#define CoreDebug_DEMCR_VC_STATERR_Pos      7                                             /*!< CoreDebug DEMCR: VC_STATERR Position */
-#define CoreDebug_DEMCR_VC_STATERR_Msk     (1UL << CoreDebug_DEMCR_VC_STATERR_Pos)        /*!< CoreDebug DEMCR: VC_STATERR Mask */
-
-#define CoreDebug_DEMCR_VC_CHKERR_Pos       6                                             /*!< CoreDebug DEMCR: VC_CHKERR Position */
-#define CoreDebug_DEMCR_VC_CHKERR_Msk      (1UL << CoreDebug_DEMCR_VC_CHKERR_Pos)         /*!< CoreDebug DEMCR: VC_CHKERR Mask */
-
-#define CoreDebug_DEMCR_VC_NOCPERR_Pos      5                                             /*!< CoreDebug DEMCR: VC_NOCPERR Position */
-#define CoreDebug_DEMCR_VC_NOCPERR_Msk     (1UL << CoreDebug_DEMCR_VC_NOCPERR_Pos)        /*!< CoreDebug DEMCR: VC_NOCPERR Mask */
-
-#define CoreDebug_DEMCR_VC_MMERR_Pos        4                                             /*!< CoreDebug DEMCR: VC_MMERR Position */
-#define CoreDebug_DEMCR_VC_MMERR_Msk       (1UL << CoreDebug_DEMCR_VC_MMERR_Pos)          /*!< CoreDebug DEMCR: VC_MMERR Mask */
-
-#define CoreDebug_DEMCR_VC_CORERESET_Pos    0                                             /*!< CoreDebug DEMCR: VC_CORERESET Position */
-#define CoreDebug_DEMCR_VC_CORERESET_Msk   (1UL << CoreDebug_DEMCR_VC_CORERESET_Pos)      /*!< CoreDebug DEMCR: VC_CORERESET Mask */
-
-/*@} end of group CMSIS_CoreDebug */
-
-
-/** \ingroup    CMSIS_core_register
-    \defgroup   CMSIS_core_base     Core Definitions
-    \brief      Definitions for base addresses, unions, and structures.
-  @{
- */
-
-/* Memory mapping of Cortex-M4 Hardware */
-#define SCS_BASE            (0xE000E000UL)                            /*!< System Control Space Base Address  */
-#define ITM_BASE            (0xE0000000UL)                            /*!< ITM Base Address                   */
-#define DWT_BASE            (0xE0001000UL)                            /*!< DWT Base Address                   */
-#define TPI_BASE            (0xE0040000UL)                            /*!< TPI Base Address                   */
-#define CoreDebug_BASE      (0xE000EDF0UL)                            /*!< Core Debug Base Address            */
-#define SysTick_BASE        (SCS_BASE +  0x0010UL)                    /*!< SysTick Base Address               */
-#define NVIC_BASE           (SCS_BASE +  0x0100UL)                    /*!< NVIC Base Address                  */
-#define SCB_BASE            (SCS_BASE +  0x0D00UL)                    /*!< System Control Block Base Address  */
-
-#define SCnSCB              ((SCnSCB_Type    *)     SCS_BASE      )   /*!< System control Register not in SCB */
-#define SCB                 ((SCB_Type       *)     SCB_BASE      )   /*!< SCB configuration struct           */
-#define SysTick             ((SysTick_Type   *)     SysTick_BASE  )   /*!< SysTick configuration struct       */
-#define NVIC                ((NVIC_Type      *)     NVIC_BASE     )   /*!< NVIC configuration struct          */
-#define ITM                 ((ITM_Type       *)     ITM_BASE      )   /*!< ITM configuration struct           */
-#define DWT                 ((DWT_Type       *)     DWT_BASE      )   /*!< DWT configuration struct           */
-#define TPI                 ((TPI_Type       *)     TPI_BASE      )   /*!< TPI configuration struct           */
-#define CoreDebug           ((CoreDebug_Type *)     CoreDebug_BASE)   /*!< Core Debug configuration struct    */
-
-#if (__MPU_PRESENT == 1)
-  #define MPU_BASE          (SCS_BASE +  0x0D90UL)                    /*!< Memory Protection Unit             */
-  #define MPU               ((MPU_Type       *)     MPU_BASE      )   /*!< Memory Protection Unit             */
-#endif
-
-#if (__FPU_PRESENT == 1)
-  #define FPU_BASE          (SCS_BASE +  0x0F30UL)                    /*!< Floating Point Unit                */
-  #define FPU               ((FPU_Type       *)     FPU_BASE      )   /*!< Floating Point Unit                */
-#endif
-
-/*@} */
-
-
-
-/*******************************************************************************
- *                Hardware Abstraction Layer
-  Core Function Interface contains:
-  - Core NVIC Functions
-  - Core SysTick Functions
-  - Core Debug Functions
-  - Core Register Access Functions
- ******************************************************************************/
-/** \defgroup CMSIS_Core_FunctionInterface Functions and Instructions Reference
-*/
-
-
-
-/* ##########################   NVIC functions  #################################### */
-/** \ingroup  CMSIS_Core_FunctionInterface
-    \defgroup CMSIS_Core_NVICFunctions NVIC Functions
-    \brief      Functions that manage interrupts and exceptions via the NVIC.
-    @{
- */
-
-/** \brief  Set Priority Grouping
-
-  The function sets the priority grouping field using the required unlock sequence.
-  The parameter PriorityGroup is assigned to the field SCB->AIRCR [10:8] PRIGROUP field.
-  Only values from 0..7 are used.
-  In case of a conflict between priority grouping and available
-  priority bits (__NVIC_PRIO_BITS), the smallest possible priority group is set.
-
-    \param [in]      PriorityGroup  Priority grouping field.
- */
-__STATIC_INLINE void NVIC_SetPriorityGrouping(uint32_t PriorityGroup)
-{
-  uint32_t reg_value;
-  uint32_t PriorityGroupTmp = (PriorityGroup & (uint32_t)0x07);               /* only values 0..7 are used          */
-
-  reg_value  =  SCB->AIRCR;                                                   /* read old register configuration    */
-  reg_value &= ~(SCB_AIRCR_VECTKEY_Msk | SCB_AIRCR_PRIGROUP_Msk);             /* clear bits to change               */
-  reg_value  =  (reg_value                                 |
-                ((uint32_t)0x5FA << SCB_AIRCR_VECTKEY_Pos) |
-                (PriorityGroupTmp << 8));                                     /* Insert write key and priorty group */
-  SCB->AIRCR =  reg_value;
-}
-
-
-/** \brief  Get Priority Grouping
-
-  The function reads the priority grouping field from the NVIC Interrupt Controller.
-
-    \return                Priority grouping field (SCB->AIRCR [10:8] PRIGROUP field).
- */
-__STATIC_INLINE uint32_t NVIC_GetPriorityGrouping(void)
-{
-  return ((SCB->AIRCR & SCB_AIRCR_PRIGROUP_Msk) >> SCB_AIRCR_PRIGROUP_Pos);   /* read priority grouping field */
-}
-
-
-/** \brief  Enable External Interrupt
-
-    The function enables a device-specific interrupt in the NVIC interrupt controller.
-
-    \param [in]      IRQn  External interrupt number. Value cannot be negative.
- */
-__STATIC_INLINE void NVIC_EnableIRQ(IRQn_Type IRQn)
-{
-/*  NVIC->ISER[((uint32_t)(IRQn) >> 5)] = (1 << ((uint32_t)(IRQn) & 0x1F));  enable interrupt */
-  NVIC->ISER[(uint32_t)((int32_t)IRQn) >> 5] = (uint32_t)(1 << ((uint32_t)((int32_t)IRQn) & (uint32_t)0x1F)); /* enable interrupt */
-}
-
-
-/** \brief  Disable External Interrupt
-
-    The function disables a device-specific interrupt in the NVIC interrupt controller.
-
-    \param [in]      IRQn  External interrupt number. Value cannot be negative.
- */
-__STATIC_INLINE void NVIC_DisableIRQ(IRQn_Type IRQn)
-{
-  NVIC->ICER[((uint32_t)(IRQn) >> 5)] = (1 << ((uint32_t)(IRQn) & 0x1F)); /* disable interrupt */
-}
-
-
-/** \brief  Get Pending Interrupt
-
-    The function reads the pending register in the NVIC and returns the pending bit
-    for the specified interrupt.
-
-    \param [in]      IRQn  Interrupt number.
-
-    \return             0  Interrupt status is not pending.
-    \return             1  Interrupt status is pending.
- */
-__STATIC_INLINE uint32_t NVIC_GetPendingIRQ(IRQn_Type IRQn)
-{
-  return((uint32_t) ((NVIC->ISPR[(uint32_t)(IRQn) >> 5] & (1 << ((uint32_t)(IRQn) & 0x1F)))?1:0)); /* Return 1 if pending else 0 */
-}
-
-
-/** \brief  Set Pending Interrupt
-
-    The function sets the pending bit of an external interrupt.
-
-    \param [in]      IRQn  Interrupt number. Value cannot be negative.
- */
-__STATIC_INLINE void NVIC_SetPendingIRQ(IRQn_Type IRQn)
-{
-  NVIC->ISPR[((uint32_t)(IRQn) >> 5)] = (1 << ((uint32_t)(IRQn) & 0x1F)); /* set interrupt pending */
-}
-
-
-/** \brief  Clear Pending Interrupt
-
-    The function clears the pending bit of an external interrupt.
-
-    \param [in]      IRQn  External interrupt number. Value cannot be negative.
- */
-__STATIC_INLINE void NVIC_ClearPendingIRQ(IRQn_Type IRQn)
-{
-  NVIC->ICPR[((uint32_t)(IRQn) >> 5)] = (1 << ((uint32_t)(IRQn) & 0x1F)); /* Clear pending interrupt */
-}
-
-
-/** \brief  Get Active Interrupt
-
-    The function reads the active register in NVIC and returns the active bit.
-
-    \param [in]      IRQn  Interrupt number.
-
-    \return             0  Interrupt status is not active.
-    \return             1  Interrupt status is active.
- */
-__STATIC_INLINE uint32_t NVIC_GetActive(IRQn_Type IRQn)
-{
-  return((uint32_t)((NVIC->IABR[(uint32_t)(IRQn) >> 5] & (1 << ((uint32_t)(IRQn) & 0x1F)))?1:0)); /* Return 1 if active else 0 */
-}
-
-
-/** \brief  Set Interrupt Priority
-
-    The function sets the priority of an interrupt.
-
-    \note The priority cannot be set for every core interrupt.
-
-    \param [in]      IRQn  Interrupt number.
-    \param [in]  priority  Priority to set.
- */
-__STATIC_INLINE void NVIC_SetPriority(IRQn_Type IRQn, uint32_t priority)
-{
-  if(IRQn < 0) {
-    SCB->SHP[((uint32_t)(IRQn) & 0xF)-4] = ((priority << (8 - __NVIC_PRIO_BITS)) & 0xff); } /* set Priority for Cortex-M  System Interrupts */
-  else {
-    NVIC->IP[(uint32_t)(IRQn)] = ((priority << (8 - __NVIC_PRIO_BITS)) & 0xff);    }        /* set Priority for device specific Interrupts  */
-}
-
-
-/** \brief  Get Interrupt Priority
-
-    The function reads the priority of an interrupt. The interrupt
-    number can be positive to specify an external (device specific)
-    interrupt, or negative to specify an internal (core) interrupt.
-
-
-    \param [in]   IRQn  Interrupt number.
-    \return             Interrupt Priority. Value is aligned automatically to the implemented
-                        priority bits of the microcontroller.
- */
-__STATIC_INLINE uint32_t NVIC_GetPriority(IRQn_Type IRQn)
-{
-
-  if(IRQn < 0) {
-    return((uint32_t)(SCB->SHP[((uint32_t)(IRQn) & 0xF)-4] >> (8 - __NVIC_PRIO_BITS)));  } /* get priority for Cortex-M  system interrupts */
-  else {
-    return((uint32_t)(NVIC->IP[(uint32_t)(IRQn)]           >> (8 - __NVIC_PRIO_BITS)));  } /* get priority for device specific interrupts  */
-}
-
-
-/** \brief  Encode Priority
-
-    The function encodes the priority for an interrupt with the given priority group,
-    preemptive priority value, and subpriority value.
-    In case of a conflict between priority grouping and available
-    priority bits (__NVIC_PRIO_BITS), the samllest possible priority group is set.
-
-    \param [in]     PriorityGroup  Used priority group.
-    \param [in]   PreemptPriority  Preemptive priority value (starting from 0).
-    \param [in]       SubPriority  Subpriority value (starting from 0).
-    \return                        Encoded priority. Value can be used in the function \ref NVIC_SetPriority().
- */
-__STATIC_INLINE uint32_t NVIC_EncodePriority (uint32_t PriorityGroup, uint32_t PreemptPriority, uint32_t SubPriority)
-{
-  uint32_t PriorityGroupTmp = (PriorityGroup & 0x07);          /* only values 0..7 are used          */
-  uint32_t PreemptPriorityBits;
-  uint32_t SubPriorityBits;
-
-  PreemptPriorityBits = ((7 - PriorityGroupTmp) > __NVIC_PRIO_BITS) ? __NVIC_PRIO_BITS : 7 - PriorityGroupTmp;
-  SubPriorityBits     = ((PriorityGroupTmp + __NVIC_PRIO_BITS) < 7) ? 0 : PriorityGroupTmp - 7 + __NVIC_PRIO_BITS;
-
-  return (
-           ((PreemptPriority & ((1 << (PreemptPriorityBits)) - 1)) << SubPriorityBits) |
-           ((SubPriority     & ((1 << (SubPriorityBits    )) - 1)))
-         );
-}
-
-
-/** \brief  Decode Priority
-
-    The function decodes an interrupt priority value with a given priority group to
-    preemptive priority value and subpriority value.
-    In case of a conflict between priority grouping and available
-    priority bits (__NVIC_PRIO_BITS) the samllest possible priority group is set.
-
-    \param [in]         Priority   Priority value, which can be retrieved with the function \ref NVIC_GetPriority().
-    \param [in]     PriorityGroup  Used priority group.
-    \param [out] pPreemptPriority  Preemptive priority value (starting from 0).
-    \param [out]     pSubPriority  Subpriority value (starting from 0).
- */
-__STATIC_INLINE void NVIC_DecodePriority (uint32_t Priority, uint32_t PriorityGroup, uint32_t* pPreemptPriority, uint32_t* pSubPriority)
-{
-  uint32_t PriorityGroupTmp = (PriorityGroup & 0x07);          /* only values 0..7 are used          */
-  uint32_t PreemptPriorityBits;
-  uint32_t SubPriorityBits;
-
-  PreemptPriorityBits = ((7 - PriorityGroupTmp) > __NVIC_PRIO_BITS) ? __NVIC_PRIO_BITS : 7 - PriorityGroupTmp;
-  SubPriorityBits     = ((PriorityGroupTmp + __NVIC_PRIO_BITS) < 7) ? 0 : PriorityGroupTmp - 7 + __NVIC_PRIO_BITS;
-
-  *pPreemptPriority = (Priority >> SubPriorityBits) & ((1 << (PreemptPriorityBits)) - 1);
-  *pSubPriority     = (Priority                   ) & ((1 << (SubPriorityBits    )) - 1);
-}
-
-
-/** \brief  System Reset
-
-    The function initiates a system reset request to reset the MCU.
- */
-__STATIC_INLINE void NVIC_SystemReset(void)
-{
-  __DSB();                                                     /* Ensure all outstanding memory accesses included
-                                                                  buffered write are completed before reset */
-  SCB->AIRCR  = ((0x5FA << SCB_AIRCR_VECTKEY_Pos)      |
-                 (SCB->AIRCR & SCB_AIRCR_PRIGROUP_Msk) |
-                 SCB_AIRCR_SYSRESETREQ_Msk);                   /* Keep priority group unchanged */
-  __DSB();                                                     /* Ensure completion of memory access */
-  while(1);                                                    /* wait until reset */
-}
-
-/*@} end of CMSIS_Core_NVICFunctions */
-
-
-
-/* ##################################    SysTick function  ############################################ */
-/** \ingroup  CMSIS_Core_FunctionInterface
-    \defgroup CMSIS_Core_SysTickFunctions SysTick Functions
-    \brief      Functions that configure the System.
-  @{
- */
-
-#if (__Vendor_SysTickConfig == 0)
-
-/** \brief  System Tick Configuration
-
-    The function initializes the System Timer and its interrupt, and starts the System Tick Timer.
-    Counter is in free running mode to generate periodic interrupts.
-
-    \param [in]  ticks  Number of ticks between two interrupts.
-
-    \return          0  Function succeeded.
-    \return          1  Function failed.
-
-    \note     When the variable __Vendor_SysTickConfig is set to 1, then the
-    function SysTick_Config is not included. In this case, the file device.h
-    must contain a vendor-specific implementation of this function.
-
- */
-__STATIC_INLINE uint32_t SysTick_Config(uint32_t ticks)
-{
-  if (ticks > SysTick_LOAD_RELOAD_Msk)  return (1);            /* Reload value impossible */
-
-  SysTick->LOAD  = (ticks & SysTick_LOAD_RELOAD_Msk) - 1;      /* set reload register */
-  NVIC_SetPriority (SysTick_IRQn, (1<<__NVIC_PRIO_BITS) - 1);  /* set Priority for Systick Interrupt */
-  SysTick->VAL   = 0;                                          /* Load the SysTick Counter Value */
-  SysTick->CTRL  = SysTick_CTRL_CLKSOURCE_Msk |
-                   SysTick_CTRL_TICKINT_Msk   |
-                   SysTick_CTRL_ENABLE_Msk;                    /* Enable SysTick IRQ and SysTick Timer */
-  return (0);                                                  /* Function successful */
-}
-
-#endif
-
-/*@} end of CMSIS_Core_SysTickFunctions */
-
-
-
-/* ##################################### Debug In/Output function ########################################### */
-/** \ingroup  CMSIS_Core_FunctionInterface
-    \defgroup CMSIS_core_DebugFunctions ITM Functions
-    \brief   Functions that access the ITM debug interface.
-  @{
- */
-
-extern volatile int32_t ITM_RxBuffer;                    /*!< External variable to receive characters.                         */
-#define                 ITM_RXBUFFER_EMPTY    0x5AA55AA5 /*!< Value identifying \ref ITM_RxBuffer is ready for next character. */
-
-
-/** \brief  ITM Send Character
-
-    The function transmits a character via the ITM channel 0, and
-    \li Just returns when no debugger is connected that has booked the output.
-    \li Is blocking when a debugger is connected, but the previous character sent has not been transmitted.
-
-    \param [in]     ch  Character to transmit.
-
-    \returns            Character to transmit.
- */
-__STATIC_INLINE uint32_t ITM_SendChar (uint32_t ch)
-{
-  if ((ITM->TCR & ITM_TCR_ITMENA_Msk)                  &&      /* ITM enabled */
-      (ITM->TER & (1UL << 0)        )                    )     /* ITM Port #0 enabled */
-  {
-    while (ITM->PORT[0].u32 == 0);
-    ITM->PORT[0].u8 = (uint8_t) ch;
-  }
-  return (ch);
-}
-
-
-/** \brief  ITM Receive Character
-
-    The function inputs a character via the external variable \ref ITM_RxBuffer.
-
-    \return             Received character.
-    \return         -1  No character pending.
- */
-__STATIC_INLINE int32_t ITM_ReceiveChar (void) {
-  int32_t ch = -1;                           /* no character available */
-
-  if (ITM_RxBuffer != ITM_RXBUFFER_EMPTY) {
-    ch = ITM_RxBuffer;
-    ITM_RxBuffer = ITM_RXBUFFER_EMPTY;       /* ready for next character */
-  }
-
-  return (ch);
-}
-
-
-/** \brief  ITM Check Character
-
-    The function checks whether a character is pending for reading in the variable \ref ITM_RxBuffer.
-
-    \return          0  No character available.
-    \return          1  Character available.
- */
-__STATIC_INLINE int32_t ITM_CheckChar (void) {
-
-  if (ITM_RxBuffer == ITM_RXBUFFER_EMPTY) {
-    return (0);                                 /* no character available */
-  } else {
-    return (1);                                 /*    character available */
-  }
-}
-
-/*@} end of CMSIS_core_DebugFunctions */
-
-#endif /* __CORE_CM4_H_DEPENDANT */
-
-#endif /* __CMSIS_GENERIC */
-
-#ifdef __cplusplus
-}
-#endif
diff --git a/apps/mathlib/CMSIS/Include/core_cm4_simd.h b/apps/mathlib/CMSIS/Include/core_cm4_simd.h
deleted file mode 100644
index b5140073f..000000000
--- a/apps/mathlib/CMSIS/Include/core_cm4_simd.h
+++ /dev/null
@@ -1,649 +0,0 @@
-/**************************************************************************//**
- * @file     core_cm4_simd.h
- * @brief    CMSIS Cortex-M4 SIMD Header File
- * @version  V3.01
- * @date     06. March 2012
- *
- * @note
- * Copyright (C) 2010-2012 ARM Limited. All rights reserved.
- *
- * @par
- * ARM Limited (ARM) is supplying this software for use with Cortex-M
- * processor based microcontrollers.  This file can be freely distributed
- * within development tools that are supporting such ARM based processors.
- *
- * @par
- * THIS SOFTWARE IS PROVIDED "AS IS".  NO WARRANTIES, WHETHER EXPRESS, IMPLIED
- * OR STATUTORY, INCLUDING, BUT NOT LIMITED TO, IMPLIED WARRANTIES OF
- * MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE APPLY TO THIS SOFTWARE.
- * ARM SHALL NOT, IN ANY CIRCUMSTANCES, BE LIABLE FOR SPECIAL, INCIDENTAL, OR
- * CONSEQUENTIAL DAMAGES, FOR ANY REASON WHATSOEVER.
- *
- ******************************************************************************/
-
-#ifdef __cplusplus
- extern "C" {
-#endif
-
-#ifndef __CORE_CM4_SIMD_H
-#define __CORE_CM4_SIMD_H
-
-
-/*******************************************************************************
- *                Hardware Abstraction Layer
- ******************************************************************************/
-
-
-/* ###################  Compiler specific Intrinsics  ########################### */
-/** \defgroup CMSIS_SIMD_intrinsics CMSIS SIMD Intrinsics
-  Access to dedicated SIMD instructions
-  @{
-*/
-
-#if   defined ( __CC_ARM ) /*------------------RealView Compiler -----------------*/
-/* ARM armcc specific functions */
-
-/*------ CM4 SIMD Intrinsics -----------------------------------------------------*/
-#define __SADD8                           __sadd8
-#define __QADD8                           __qadd8
-#define __SHADD8                          __shadd8
-#define __UADD8                           __uadd8
-#define __UQADD8                          __uqadd8
-#define __UHADD8                          __uhadd8
-#define __SSUB8                           __ssub8
-#define __QSUB8                           __qsub8
-#define __SHSUB8                          __shsub8
-#define __USUB8                           __usub8
-#define __UQSUB8                          __uqsub8
-#define __UHSUB8                          __uhsub8
-#define __SADD16                          __sadd16
-#define __QADD16                          __qadd16
-#define __SHADD16                         __shadd16
-#define __UADD16                          __uadd16
-#define __UQADD16                         __uqadd16
-#define __UHADD16                         __uhadd16
-#define __SSUB16                          __ssub16
-#define __QSUB16                          __qsub16
-#define __SHSUB16                         __shsub16
-#define __USUB16                          __usub16
-#define __UQSUB16                         __uqsub16
-#define __UHSUB16                         __uhsub16
-#define __SASX                            __sasx
-#define __QASX                            __qasx
-#define __SHASX                           __shasx
-#define __UASX                            __uasx
-#define __UQASX                           __uqasx
-#define __UHASX                           __uhasx
-#define __SSAX                            __ssax
-#define __QSAX                            __qsax
-#define __SHSAX                           __shsax
-#define __USAX                            __usax
-#define __UQSAX                           __uqsax
-#define __UHSAX                           __uhsax
-#define __USAD8                           __usad8
-#define __USADA8                          __usada8
-#define __SSAT16                          __ssat16
-#define __USAT16                          __usat16
-#define __UXTB16                          __uxtb16
-#define __UXTAB16                         __uxtab16
-#define __SXTB16                          __sxtb16
-#define __SXTAB16                         __sxtab16
-#define __SMUAD                           __smuad
-#define __SMUADX                          __smuadx
-#define __SMLAD                           __smlad
-#define __SMLADX                          __smladx
-#define __SMLALD                          __smlald
-#define __SMLALDX                         __smlaldx
-#define __SMUSD                           __smusd
-#define __SMUSDX                          __smusdx
-#define __SMLSD                           __smlsd
-#define __SMLSDX                          __smlsdx
-#define __SMLSLD                          __smlsld
-#define __SMLSLDX                         __smlsldx
-#define __SEL                             __sel
-#define __QADD                            __qadd
-#define __QSUB                            __qsub
-
-#define __PKHBT(ARG1,ARG2,ARG3)          ( ((((uint32_t)(ARG1))          ) & 0x0000FFFFUL) |  \
-                                           ((((uint32_t)(ARG2)) << (ARG3)) & 0xFFFF0000UL)  )
-
-#define __PKHTB(ARG1,ARG2,ARG3)          ( ((((uint32_t)(ARG1))          ) & 0xFFFF0000UL) |  \
-                                           ((((uint32_t)(ARG2)) >> (ARG3)) & 0x0000FFFFUL)  )
-
-
-/*-- End CM4 SIMD Intrinsics -----------------------------------------------------*/
-
-
-
-#elif defined ( __ICCARM__ ) /*------------------ ICC Compiler -------------------*/
-/* IAR iccarm specific functions */
-
-/*------ CM4 SIMD Intrinsics -----------------------------------------------------*/
-#include 
-
-/*-- End CM4 SIMD Intrinsics -----------------------------------------------------*/
-
-
-
-#elif defined ( __TMS470__ ) /*---------------- TI CCS Compiler ------------------*/
-/* TI CCS specific functions */
-
-/*------ CM4 SIMD Intrinsics -----------------------------------------------------*/
-#include 
-
-/*-- End CM4 SIMD Intrinsics -----------------------------------------------------*/
-
-
-
-#elif defined ( __GNUC__ ) /*------------------ GNU Compiler ---------------------*/
-/* GNU gcc specific functions */
-
-/*------ CM4 SIMD Intrinsics -----------------------------------------------------*/
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SADD8(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("sadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __QADD8(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("qadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SHADD8(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("shadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UADD8(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("uadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UQADD8(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("uqadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UHADD8(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("uhadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SSUB8(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("ssub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __QSUB8(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("qsub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SHSUB8(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("shsub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __USUB8(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("usub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UQSUB8(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("uqsub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UHSUB8(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("uhsub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SADD16(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("sadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __QADD16(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("qadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SHADD16(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("shadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UADD16(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("uadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UQADD16(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("uqadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UHADD16(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("uhadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SSUB16(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("ssub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __QSUB16(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("qsub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SHSUB16(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("shsub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __USUB16(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("usub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UQSUB16(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("uqsub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UHSUB16(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("uhsub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SASX(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("sasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __QASX(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("qasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SHASX(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("shasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UASX(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("uasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UQASX(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("uqasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UHASX(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("uhasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SSAX(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("ssax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __QSAX(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("qsax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SHSAX(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("shsax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __USAX(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("usax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UQSAX(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("uqsax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UHSAX(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("uhsax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __USAD8(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("usad8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __USADA8(uint32_t op1, uint32_t op2, uint32_t op3)
-{
-  uint32_t result;
-
-  __ASM volatile ("usada8 %0, %1, %2, %3" : "=r" (result) : "r" (op1), "r" (op2), "r" (op3) );
-  return(result);
-}
-
-#define __SSAT16(ARG1,ARG2) \
-({                          \
-  uint32_t __RES, __ARG1 = (ARG1); \
-  __ASM ("ssat16 %0, %1, %2" : "=r" (__RES) :  "I" (ARG2), "r" (__ARG1) ); \
-  __RES; \
- })
-
-#define __USAT16(ARG1,ARG2) \
-({                          \
-  uint32_t __RES, __ARG1 = (ARG1); \
-  __ASM ("usat16 %0, %1, %2" : "=r" (__RES) :  "I" (ARG2), "r" (__ARG1) ); \
-  __RES; \
- })
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UXTB16(uint32_t op1)
-{
-  uint32_t result;
-
-  __ASM volatile ("uxtb16 %0, %1" : "=r" (result) : "r" (op1));
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UXTAB16(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("uxtab16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SXTB16(uint32_t op1)
-{
-  uint32_t result;
-
-  __ASM volatile ("sxtb16 %0, %1" : "=r" (result) : "r" (op1));
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SXTAB16(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("sxtab16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SMUAD  (uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("smuad %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SMUADX (uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("smuadx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SMLAD (uint32_t op1, uint32_t op2, uint32_t op3)
-{
-  uint32_t result;
-
-  __ASM volatile ("smlad %0, %1, %2, %3" : "=r" (result) : "r" (op1), "r" (op2), "r" (op3) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SMLADX (uint32_t op1, uint32_t op2, uint32_t op3)
-{
-  uint32_t result;
-
-  __ASM volatile ("smladx %0, %1, %2, %3" : "=r" (result) : "r" (op1), "r" (op2), "r" (op3) );
-  return(result);
-}
-
-#define __SMLALD(ARG1,ARG2,ARG3) \
-({ \
-  uint32_t __ARG1 = (ARG1), __ARG2 = (ARG2), __ARG3_H = (uint32_t)((uint64_t)(ARG3) >> 32), __ARG3_L = (uint32_t)((uint64_t)(ARG3) & 0xFFFFFFFFUL); \
-  __ASM volatile ("smlald %0, %1, %2, %3" : "=r" (__ARG3_L), "=r" (__ARG3_H) : "r" (__ARG1), "r" (__ARG2), "0" (__ARG3_L), "1" (__ARG3_H) ); \
-  (uint64_t)(((uint64_t)__ARG3_H << 32) | __ARG3_L); \
- })
-
-#define __SMLALDX(ARG1,ARG2,ARG3) \
-({ \
-  uint32_t __ARG1 = (ARG1), __ARG2 = (ARG2), __ARG3_H = (uint32_t)((uint64_t)(ARG3) >> 32), __ARG3_L = (uint32_t)((uint64_t)(ARG3) & 0xFFFFFFFFUL); \
-  __ASM volatile ("smlaldx %0, %1, %2, %3" : "=r" (__ARG3_L), "=r" (__ARG3_H) : "r" (__ARG1), "r" (__ARG2), "0" (__ARG3_L), "1" (__ARG3_H) ); \
-  (uint64_t)(((uint64_t)__ARG3_H << 32) | __ARG3_L); \
- })
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SMUSD  (uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("smusd %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SMUSDX (uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("smusdx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SMLSD (uint32_t op1, uint32_t op2, uint32_t op3)
-{
-  uint32_t result;
-
-  __ASM volatile ("smlsd %0, %1, %2, %3" : "=r" (result) : "r" (op1), "r" (op2), "r" (op3) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SMLSDX (uint32_t op1, uint32_t op2, uint32_t op3)
-{
-  uint32_t result;
-
-  __ASM volatile ("smlsdx %0, %1, %2, %3" : "=r" (result) : "r" (op1), "r" (op2), "r" (op3) );
-  return(result);
-}
-
-#define __SMLSLD(ARG1,ARG2,ARG3) \
-({ \
-  uint32_t __ARG1 = (ARG1), __ARG2 = (ARG2), __ARG3_H = (uint32_t)((ARG3) >> 32), __ARG3_L = (uint32_t)((ARG3) & 0xFFFFFFFFUL); \
-  __ASM volatile ("smlsld %0, %1, %2, %3" : "=r" (__ARG3_L), "=r" (__ARG3_H) : "r" (__ARG1), "r" (__ARG2), "0" (__ARG3_L), "1" (__ARG3_H) ); \
-  (uint64_t)(((uint64_t)__ARG3_H << 32) | __ARG3_L); \
- })
-
-#define __SMLSLDX(ARG1,ARG2,ARG3) \
-({ \
-  uint32_t __ARG1 = (ARG1), __ARG2 = (ARG2), __ARG3_H = (uint32_t)((ARG3) >> 32), __ARG3_L = (uint32_t)((ARG3) & 0xFFFFFFFFUL); \
-  __ASM volatile ("smlsldx %0, %1, %2, %3" : "=r" (__ARG3_L), "=r" (__ARG3_H) : "r" (__ARG1), "r" (__ARG2), "0" (__ARG3_L), "1" (__ARG3_H) ); \
-  (uint64_t)(((uint64_t)__ARG3_H << 32) | __ARG3_L); \
- })
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SEL  (uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("sel %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __QADD(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("qadd %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __QSUB(uint32_t op1, uint32_t op2)
-{
-  uint32_t result;
-
-  __ASM volatile ("qsub %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
-  return(result);
-}
-
-#define __PKHBT(ARG1,ARG2,ARG3) \
-({                          \
-  uint32_t __RES, __ARG1 = (ARG1), __ARG2 = (ARG2); \
-  __ASM ("pkhbt %0, %1, %2, lsl %3" : "=r" (__RES) :  "r" (__ARG1), "r" (__ARG2), "I" (ARG3)  ); \
-  __RES; \
- })
-
-#define __PKHTB(ARG1,ARG2,ARG3) \
-({                          \
-  uint32_t __RES, __ARG1 = (ARG1), __ARG2 = (ARG2); \
-  if (ARG3 == 0) \
-    __ASM ("pkhtb %0, %1, %2" : "=r" (__RES) :  "r" (__ARG1), "r" (__ARG2)  ); \
-  else \
-    __ASM ("pkhtb %0, %1, %2, asr %3" : "=r" (__RES) :  "r" (__ARG1), "r" (__ARG2), "I" (ARG3)  ); \
-  __RES; \
- })
-
-/*-- End CM4 SIMD Intrinsics -----------------------------------------------------*/
-
-
-
-#elif defined ( __TASKING__ ) /*------------------ TASKING Compiler --------------*/
-/* TASKING carm specific functions */
-
-
-/*------ CM4 SIMD Intrinsics -----------------------------------------------------*/
-/* not yet supported */
-/*-- End CM4 SIMD Intrinsics -----------------------------------------------------*/
-
-
-#endif
-
-/*@} end of group CMSIS_SIMD_intrinsics */
-
-
-#endif /* __CORE_CM4_SIMD_H */
-
-#ifdef __cplusplus
-}
-#endif
diff --git a/apps/mathlib/CMSIS/Include/core_cmFunc.h b/apps/mathlib/CMSIS/Include/core_cmFunc.h
deleted file mode 100644
index adb07b5d3..000000000
--- a/apps/mathlib/CMSIS/Include/core_cmFunc.h
+++ /dev/null
@@ -1,616 +0,0 @@
-/**************************************************************************//**
- * @file     core_cmFunc.h
- * @brief    CMSIS Cortex-M Core Function Access Header File
- * @version  V3.01
- * @date     06. March 2012
- *
- * @note
- * Copyright (C) 2009-2012 ARM Limited. All rights reserved.
- *
- * @par
- * ARM Limited (ARM) is supplying this software for use with Cortex-M
- * processor based microcontrollers.  This file can be freely distributed
- * within development tools that are supporting such ARM based processors.
- *
- * @par
- * THIS SOFTWARE IS PROVIDED "AS IS".  NO WARRANTIES, WHETHER EXPRESS, IMPLIED
- * OR STATUTORY, INCLUDING, BUT NOT LIMITED TO, IMPLIED WARRANTIES OF
- * MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE APPLY TO THIS SOFTWARE.
- * ARM SHALL NOT, IN ANY CIRCUMSTANCES, BE LIABLE FOR SPECIAL, INCIDENTAL, OR
- * CONSEQUENTIAL DAMAGES, FOR ANY REASON WHATSOEVER.
- *
- ******************************************************************************/
-
-#ifndef __CORE_CMFUNC_H
-#define __CORE_CMFUNC_H
-
-
-/* ###########################  Core Function Access  ########################### */
-/** \ingroup  CMSIS_Core_FunctionInterface
-    \defgroup CMSIS_Core_RegAccFunctions CMSIS Core Register Access Functions
-  @{
- */
-
-#if   defined ( __CC_ARM ) /*------------------RealView Compiler -----------------*/
-/* ARM armcc specific functions */
-
-#if (__ARMCC_VERSION < 400677)
-  #error "Please use ARM Compiler Toolchain V4.0.677 or later!"
-#endif
-
-/* intrinsic void __enable_irq();     */
-/* intrinsic void __disable_irq();    */
-
-/** \brief  Get Control Register
-
-    This function returns the content of the Control Register.
-
-    \return               Control Register value
- */
-__STATIC_INLINE uint32_t __get_CONTROL(void)
-{
-  register uint32_t __regControl         __ASM("control");
-  return(__regControl);
-}
-
-
-/** \brief  Set Control Register
-
-    This function writes the given value to the Control Register.
-
-    \param [in]    control  Control Register value to set
- */
-__STATIC_INLINE void __set_CONTROL(uint32_t control)
-{
-  register uint32_t __regControl         __ASM("control");
-  __regControl = control;
-}
-
-
-/** \brief  Get IPSR Register
-
-    This function returns the content of the IPSR Register.
-
-    \return               IPSR Register value
- */
-__STATIC_INLINE uint32_t __get_IPSR(void)
-{
-  register uint32_t __regIPSR          __ASM("ipsr");
-  return(__regIPSR);
-}
-
-
-/** \brief  Get APSR Register
-
-    This function returns the content of the APSR Register.
-
-    \return               APSR Register value
- */
-__STATIC_INLINE uint32_t __get_APSR(void)
-{
-  register uint32_t __regAPSR          __ASM("apsr");
-  return(__regAPSR);
-}
-
-
-/** \brief  Get xPSR Register
-
-    This function returns the content of the xPSR Register.
-
-    \return               xPSR Register value
- */
-__STATIC_INLINE uint32_t __get_xPSR(void)
-{
-  register uint32_t __regXPSR          __ASM("xpsr");
-  return(__regXPSR);
-}
-
-
-/** \brief  Get Process Stack Pointer
-
-    This function returns the current value of the Process Stack Pointer (PSP).
-
-    \return               PSP Register value
- */
-__STATIC_INLINE uint32_t __get_PSP(void)
-{
-  register uint32_t __regProcessStackPointer  __ASM("psp");
-  return(__regProcessStackPointer);
-}
-
-
-/** \brief  Set Process Stack Pointer
-
-    This function assigns the given value to the Process Stack Pointer (PSP).
-
-    \param [in]    topOfProcStack  Process Stack Pointer value to set
- */
-__STATIC_INLINE void __set_PSP(uint32_t topOfProcStack)
-{
-  register uint32_t __regProcessStackPointer  __ASM("psp");
-  __regProcessStackPointer = topOfProcStack;
-}
-
-
-/** \brief  Get Main Stack Pointer
-
-    This function returns the current value of the Main Stack Pointer (MSP).
-
-    \return               MSP Register value
- */
-__STATIC_INLINE uint32_t __get_MSP(void)
-{
-  register uint32_t __regMainStackPointer     __ASM("msp");
-  return(__regMainStackPointer);
-}
-
-
-/** \brief  Set Main Stack Pointer
-
-    This function assigns the given value to the Main Stack Pointer (MSP).
-
-    \param [in]    topOfMainStack  Main Stack Pointer value to set
- */
-__STATIC_INLINE void __set_MSP(uint32_t topOfMainStack)
-{
-  register uint32_t __regMainStackPointer     __ASM("msp");
-  __regMainStackPointer = topOfMainStack;
-}
-
-
-/** \brief  Get Priority Mask
-
-    This function returns the current state of the priority mask bit from the Priority Mask Register.
-
-    \return               Priority Mask value
- */
-__STATIC_INLINE uint32_t __get_PRIMASK(void)
-{
-  register uint32_t __regPriMask         __ASM("primask");
-  return(__regPriMask);
-}
-
-
-/** \brief  Set Priority Mask
-
-    This function assigns the given value to the Priority Mask Register.
-
-    \param [in]    priMask  Priority Mask
- */
-__STATIC_INLINE void __set_PRIMASK(uint32_t priMask)
-{
-  register uint32_t __regPriMask         __ASM("primask");
-  __regPriMask = (priMask);
-}
-
-
-#if       (__CORTEX_M >= 0x03)
-
-/** \brief  Enable FIQ
-
-    This function enables FIQ interrupts by clearing the F-bit in the CPSR.
-    Can only be executed in Privileged modes.
- */
-#define __enable_fault_irq                __enable_fiq
-
-
-/** \brief  Disable FIQ
-
-    This function disables FIQ interrupts by setting the F-bit in the CPSR.
-    Can only be executed in Privileged modes.
- */
-#define __disable_fault_irq               __disable_fiq
-
-
-/** \brief  Get Base Priority
-
-    This function returns the current value of the Base Priority register.
-
-    \return               Base Priority register value
- */
-__STATIC_INLINE uint32_t  __get_BASEPRI(void)
-{
-  register uint32_t __regBasePri         __ASM("basepri");
-  return(__regBasePri);
-}
-
-
-/** \brief  Set Base Priority
-
-    This function assigns the given value to the Base Priority register.
-
-    \param [in]    basePri  Base Priority value to set
- */
-__STATIC_INLINE void __set_BASEPRI(uint32_t basePri)
-{
-  register uint32_t __regBasePri         __ASM("basepri");
-  __regBasePri = (basePri & 0xff);
-}
-
-
-/** \brief  Get Fault Mask
-
-    This function returns the current value of the Fault Mask register.
-
-    \return               Fault Mask register value
- */
-__STATIC_INLINE uint32_t __get_FAULTMASK(void)
-{
-  register uint32_t __regFaultMask       __ASM("faultmask");
-  return(__regFaultMask);
-}
-
-
-/** \brief  Set Fault Mask
-
-    This function assigns the given value to the Fault Mask register.
-
-    \param [in]    faultMask  Fault Mask value to set
- */
-__STATIC_INLINE void __set_FAULTMASK(uint32_t faultMask)
-{
-  register uint32_t __regFaultMask       __ASM("faultmask");
-  __regFaultMask = (faultMask & (uint32_t)1);
-}
-
-#endif /* (__CORTEX_M >= 0x03) */
-
-
-#if       (__CORTEX_M == 0x04)
-
-/** \brief  Get FPSCR
-
-    This function returns the current value of the Floating Point Status/Control register.
-
-    \return               Floating Point Status/Control register value
- */
-__STATIC_INLINE uint32_t __get_FPSCR(void)
-{
-#if (__FPU_PRESENT == 1) && (__FPU_USED == 1)
-  register uint32_t __regfpscr         __ASM("fpscr");
-  return(__regfpscr);
-#else
-   return(0);
-#endif
-}
-
-
-/** \brief  Set FPSCR
-
-    This function assigns the given value to the Floating Point Status/Control register.
-
-    \param [in]    fpscr  Floating Point Status/Control value to set
- */
-__STATIC_INLINE void __set_FPSCR(uint32_t fpscr)
-{
-#if (__FPU_PRESENT == 1) && (__FPU_USED == 1)
-  register uint32_t __regfpscr         __ASM("fpscr");
-  __regfpscr = (fpscr);
-#endif
-}
-
-#endif /* (__CORTEX_M == 0x04) */
-
-
-#elif defined ( __ICCARM__ ) /*------------------ ICC Compiler -------------------*/
-/* IAR iccarm specific functions */
-
-#include 
-
-
-#elif defined ( __TMS470__ ) /*---------------- TI CCS Compiler ------------------*/
-/* TI CCS specific functions */
-
-#include 
-
-
-#elif defined ( __GNUC__ ) /*------------------ GNU Compiler ---------------------*/
-/* GNU gcc specific functions */
-
-/** \brief  Enable IRQ Interrupts
-
-  This function enables IRQ interrupts by clearing the I-bit in the CPSR.
-  Can only be executed in Privileged modes.
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE void __enable_irq(void)
-{
-  __ASM volatile ("cpsie i");
-}
-
-
-/** \brief  Disable IRQ Interrupts
-
-  This function disables IRQ interrupts by setting the I-bit in the CPSR.
-  Can only be executed in Privileged modes.
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE void __disable_irq(void)
-{
-  __ASM volatile ("cpsid i");
-}
-
-
-/** \brief  Get Control Register
-
-    This function returns the content of the Control Register.
-
-    \return               Control Register value
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __get_CONTROL(void)
-{
-  uint32_t result;
-
-  __ASM volatile ("MRS %0, control" : "=r" (result) );
-  return(result);
-}
-
-
-/** \brief  Set Control Register
-
-    This function writes the given value to the Control Register.
-
-    \param [in]    control  Control Register value to set
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE void __set_CONTROL(uint32_t control)
-{
-  __ASM volatile ("MSR control, %0" : : "r" (control) );
-}
-
-
-/** \brief  Get IPSR Register
-
-    This function returns the content of the IPSR Register.
-
-    \return               IPSR Register value
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __get_IPSR(void)
-{
-  uint32_t result;
-
-  __ASM volatile ("MRS %0, ipsr" : "=r" (result) );
-  return(result);
-}
-
-
-/** \brief  Get APSR Register
-
-    This function returns the content of the APSR Register.
-
-    \return               APSR Register value
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __get_APSR(void)
-{
-  uint32_t result;
-
-  __ASM volatile ("MRS %0, apsr" : "=r" (result) );
-  return(result);
-}
-
-
-/** \brief  Get xPSR Register
-
-    This function returns the content of the xPSR Register.
-
-    \return               xPSR Register value
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __get_xPSR(void)
-{
-  uint32_t result;
-
-  __ASM volatile ("MRS %0, xpsr" : "=r" (result) );
-  return(result);
-}
-
-
-/** \brief  Get Process Stack Pointer
-
-    This function returns the current value of the Process Stack Pointer (PSP).
-
-    \return               PSP Register value
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __get_PSP(void)
-{
-  register uint32_t result;
-
-  __ASM volatile ("MRS %0, psp\n"  : "=r" (result) );
-  return(result);
-}
-
-
-/** \brief  Set Process Stack Pointer
-
-    This function assigns the given value to the Process Stack Pointer (PSP).
-
-    \param [in]    topOfProcStack  Process Stack Pointer value to set
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE void __set_PSP(uint32_t topOfProcStack)
-{
-  __ASM volatile ("MSR psp, %0\n" : : "r" (topOfProcStack) );
-}
-
-
-/** \brief  Get Main Stack Pointer
-
-    This function returns the current value of the Main Stack Pointer (MSP).
-
-    \return               MSP Register value
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __get_MSP(void)
-{
-  register uint32_t result;
-
-  __ASM volatile ("MRS %0, msp\n" : "=r" (result) );
-  return(result);
-}
-
-
-/** \brief  Set Main Stack Pointer
-
-    This function assigns the given value to the Main Stack Pointer (MSP).
-
-    \param [in]    topOfMainStack  Main Stack Pointer value to set
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE void __set_MSP(uint32_t topOfMainStack)
-{
-  __ASM volatile ("MSR msp, %0\n" : : "r" (topOfMainStack) );
-}
-
-
-/** \brief  Get Priority Mask
-
-    This function returns the current state of the priority mask bit from the Priority Mask Register.
-
-    \return               Priority Mask value
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __get_PRIMASK(void)
-{
-  uint32_t result;
-
-  __ASM volatile ("MRS %0, primask" : "=r" (result) );
-  return(result);
-}
-
-
-/** \brief  Set Priority Mask
-
-    This function assigns the given value to the Priority Mask Register.
-
-    \param [in]    priMask  Priority Mask
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE void __set_PRIMASK(uint32_t priMask)
-{
-  __ASM volatile ("MSR primask, %0" : : "r" (priMask) );
-}
-
-
-#if       (__CORTEX_M >= 0x03)
-
-/** \brief  Enable FIQ
-
-    This function enables FIQ interrupts by clearing the F-bit in the CPSR.
-    Can only be executed in Privileged modes.
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE void __enable_fault_irq(void)
-{
-  __ASM volatile ("cpsie f");
-}
-
-
-/** \brief  Disable FIQ
-
-    This function disables FIQ interrupts by setting the F-bit in the CPSR.
-    Can only be executed in Privileged modes.
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE void __disable_fault_irq(void)
-{
-  __ASM volatile ("cpsid f");
-}
-
-
-/** \brief  Get Base Priority
-
-    This function returns the current value of the Base Priority register.
-
-    \return               Base Priority register value
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __get_BASEPRI(void)
-{
-  uint32_t result;
-
-  __ASM volatile ("MRS %0, basepri_max" : "=r" (result) );
-  return(result);
-}
-
-
-/** \brief  Set Base Priority
-
-    This function assigns the given value to the Base Priority register.
-
-    \param [in]    basePri  Base Priority value to set
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE void __set_BASEPRI(uint32_t value)
-{
-  __ASM volatile ("MSR basepri, %0" : : "r" (value) );
-}
-
-
-/** \brief  Get Fault Mask
-
-    This function returns the current value of the Fault Mask register.
-
-    \return               Fault Mask register value
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __get_FAULTMASK(void)
-{
-  uint32_t result;
-
-  __ASM volatile ("MRS %0, faultmask" : "=r" (result) );
-  return(result);
-}
-
-
-/** \brief  Set Fault Mask
-
-    This function assigns the given value to the Fault Mask register.
-
-    \param [in]    faultMask  Fault Mask value to set
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE void __set_FAULTMASK(uint32_t faultMask)
-{
-  __ASM volatile ("MSR faultmask, %0" : : "r" (faultMask) );
-}
-
-#endif /* (__CORTEX_M >= 0x03) */
-
-
-#if       (__CORTEX_M == 0x04)
-
-/** \brief  Get FPSCR
-
-    This function returns the current value of the Floating Point Status/Control register.
-
-    \return               Floating Point Status/Control register value
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __get_FPSCR(void)
-{
-#if (__FPU_PRESENT == 1) && (__FPU_USED == 1)
-  uint32_t result;
-
-  __ASM volatile ("VMRS %0, fpscr" : "=r" (result) );
-  return(result);
-#else
-   return(0);
-#endif
-}
-
-
-/** \brief  Set FPSCR
-
-    This function assigns the given value to the Floating Point Status/Control register.
-
-    \param [in]    fpscr  Floating Point Status/Control value to set
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE void __set_FPSCR(uint32_t fpscr)
-{
-#if (__FPU_PRESENT == 1) && (__FPU_USED == 1)
-  __ASM volatile ("VMSR fpscr, %0" : : "r" (fpscr) );
-#endif
-}
-
-#endif /* (__CORTEX_M == 0x04) */
-
-
-#elif defined ( __TASKING__ ) /*------------------ TASKING Compiler --------------*/
-/* TASKING carm specific functions */
-
-/*
- * The CMSIS functions have been implemented as intrinsics in the compiler.
- * Please use "carm -?i" to get an up to date list of all instrinsics,
- * Including the CMSIS ones.
- */
-
-#endif
-
-/*@} end of CMSIS_Core_RegAccFunctions */
-
-
-#endif /* __CORE_CMFUNC_H */
diff --git a/apps/mathlib/CMSIS/Include/core_cmInstr.h b/apps/mathlib/CMSIS/Include/core_cmInstr.h
deleted file mode 100644
index 624c175fd..000000000
--- a/apps/mathlib/CMSIS/Include/core_cmInstr.h
+++ /dev/null
@@ -1,618 +0,0 @@
-/**************************************************************************//**
- * @file     core_cmInstr.h
- * @brief    CMSIS Cortex-M Core Instruction Access Header File
- * @version  V3.01
- * @date     06. March 2012
- *
- * @note
- * Copyright (C) 2009-2012 ARM Limited. All rights reserved.
- *
- * @par
- * ARM Limited (ARM) is supplying this software for use with Cortex-M
- * processor based microcontrollers.  This file can be freely distributed
- * within development tools that are supporting such ARM based processors.
- *
- * @par
- * THIS SOFTWARE IS PROVIDED "AS IS".  NO WARRANTIES, WHETHER EXPRESS, IMPLIED
- * OR STATUTORY, INCLUDING, BUT NOT LIMITED TO, IMPLIED WARRANTIES OF
- * MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE APPLY TO THIS SOFTWARE.
- * ARM SHALL NOT, IN ANY CIRCUMSTANCES, BE LIABLE FOR SPECIAL, INCIDENTAL, OR
- * CONSEQUENTIAL DAMAGES, FOR ANY REASON WHATSOEVER.
- *
- ******************************************************************************/
-
-#ifndef __CORE_CMINSTR_H
-#define __CORE_CMINSTR_H
-
-
-/* ##########################  Core Instruction Access  ######################### */
-/** \defgroup CMSIS_Core_InstructionInterface CMSIS Core Instruction Interface
-  Access to dedicated instructions
-  @{
-*/
-
-#if   defined ( __CC_ARM ) /*------------------RealView Compiler -----------------*/
-/* ARM armcc specific functions */
-
-#if (__ARMCC_VERSION < 400677)
-  #error "Please use ARM Compiler Toolchain V4.0.677 or later!"
-#endif
-
-
-/** \brief  No Operation
-
-    No Operation does nothing. This instruction can be used for code alignment purposes.
- */
-#define __NOP                             __nop
-
-
-/** \brief  Wait For Interrupt
-
-    Wait For Interrupt is a hint instruction that suspends execution
-    until one of a number of events occurs.
- */
-#define __WFI                             __wfi
-
-
-/** \brief  Wait For Event
-
-    Wait For Event is a hint instruction that permits the processor to enter
-    a low-power state until one of a number of events occurs.
- */
-#define __WFE                             __wfe
-
-
-/** \brief  Send Event
-
-    Send Event is a hint instruction. It causes an event to be signaled to the CPU.
- */
-#define __SEV                             __sev
-
-
-/** \brief  Instruction Synchronization Barrier
-
-    Instruction Synchronization Barrier flushes the pipeline in the processor,
-    so that all instructions following the ISB are fetched from cache or
-    memory, after the instruction has been completed.
- */
-#define __ISB()                           __isb(0xF)
-
-
-/** \brief  Data Synchronization Barrier
-
-    This function acts as a special kind of Data Memory Barrier.
-    It completes when all explicit memory accesses before this instruction complete.
- */
-#define __DSB()                           __dsb(0xF)
-
-
-/** \brief  Data Memory Barrier
-
-    This function ensures the apparent order of the explicit memory operations before
-    and after the instruction, without ensuring their completion.
- */
-#define __DMB()                           __dmb(0xF)
-
-
-/** \brief  Reverse byte order (32 bit)
-
-    This function reverses the byte order in integer value.
-
-    \param [in]    value  Value to reverse
-    \return               Reversed value
- */
-#define __REV                             __rev
-
-
-/** \brief  Reverse byte order (16 bit)
-
-    This function reverses the byte order in two unsigned short values.
-
-    \param [in]    value  Value to reverse
-    \return               Reversed value
- */
-__attribute__((section(".rev16_text"))) __STATIC_INLINE __ASM uint32_t __REV16(uint32_t value)
-{
-  rev16 r0, r0
-  bx lr
-}
-
-
-/** \brief  Reverse byte order in signed short value
-
-    This function reverses the byte order in a signed short value with sign extension to integer.
-
-    \param [in]    value  Value to reverse
-    \return               Reversed value
- */
-__attribute__((section(".revsh_text"))) __STATIC_INLINE __ASM int32_t __REVSH(int32_t value)
-{
-  revsh r0, r0
-  bx lr
-}
-
-
-/** \brief  Rotate Right in unsigned value (32 bit)
-
-    This function Rotate Right (immediate) provides the value of the contents of a register rotated by a variable number of bits.
-
-    \param [in]    value  Value to rotate
-    \param [in]    value  Number of Bits to rotate
-    \return               Rotated value
- */
-#define __ROR                             __ror
-
-
-#if       (__CORTEX_M >= 0x03)
-
-/** \brief  Reverse bit order of value
-
-    This function reverses the bit order of the given value.
-
-    \param [in]    value  Value to reverse
-    \return               Reversed value
- */
-#define __RBIT                            __rbit
-
-
-/** \brief  LDR Exclusive (8 bit)
-
-    This function performs a exclusive LDR command for 8 bit value.
-
-    \param [in]    ptr  Pointer to data
-    \return             value of type uint8_t at (*ptr)
- */
-#define __LDREXB(ptr)                     ((uint8_t ) __ldrex(ptr))
-
-
-/** \brief  LDR Exclusive (16 bit)
-
-    This function performs a exclusive LDR command for 16 bit values.
-
-    \param [in]    ptr  Pointer to data
-    \return        value of type uint16_t at (*ptr)
- */
-#define __LDREXH(ptr)                     ((uint16_t) __ldrex(ptr))
-
-
-/** \brief  LDR Exclusive (32 bit)
-
-    This function performs a exclusive LDR command for 32 bit values.
-
-    \param [in]    ptr  Pointer to data
-    \return        value of type uint32_t at (*ptr)
- */
-#define __LDREXW(ptr)                     ((uint32_t ) __ldrex(ptr))
-
-
-/** \brief  STR Exclusive (8 bit)
-
-    This function performs a exclusive STR command for 8 bit values.
-
-    \param [in]  value  Value to store
-    \param [in]    ptr  Pointer to location
-    \return          0  Function succeeded
-    \return          1  Function failed
- */
-#define __STREXB(value, ptr)              __strex(value, ptr)
-
-
-/** \brief  STR Exclusive (16 bit)
-
-    This function performs a exclusive STR command for 16 bit values.
-
-    \param [in]  value  Value to store
-    \param [in]    ptr  Pointer to location
-    \return          0  Function succeeded
-    \return          1  Function failed
- */
-#define __STREXH(value, ptr)              __strex(value, ptr)
-
-
-/** \brief  STR Exclusive (32 bit)
-
-    This function performs a exclusive STR command for 32 bit values.
-
-    \param [in]  value  Value to store
-    \param [in]    ptr  Pointer to location
-    \return          0  Function succeeded
-    \return          1  Function failed
- */
-#define __STREXW(value, ptr)              __strex(value, ptr)
-
-
-/** \brief  Remove the exclusive lock
-
-    This function removes the exclusive lock which is created by LDREX.
-
- */
-#define __CLREX                           __clrex
-
-
-/** \brief  Signed Saturate
-
-    This function saturates a signed value.
-
-    \param [in]  value  Value to be saturated
-    \param [in]    sat  Bit position to saturate to (1..32)
-    \return             Saturated value
- */
-#define __SSAT                            __ssat
-
-
-/** \brief  Unsigned Saturate
-
-    This function saturates an unsigned value.
-
-    \param [in]  value  Value to be saturated
-    \param [in]    sat  Bit position to saturate to (0..31)
-    \return             Saturated value
- */
-#define __USAT                            __usat
-
-
-/** \brief  Count leading zeros
-
-    This function counts the number of leading zeros of a data value.
-
-    \param [in]  value  Value to count the leading zeros
-    \return             number of leading zeros in value
- */
-#define __CLZ                             __clz
-
-#endif /* (__CORTEX_M >= 0x03) */
-
-
-
-#elif defined ( __ICCARM__ ) /*------------------ ICC Compiler -------------------*/
-/* IAR iccarm specific functions */
-
-#include 
-
-
-#elif defined ( __TMS470__ ) /*---------------- TI CCS Compiler ------------------*/
-/* TI CCS specific functions */
-
-#include 
-
-
-#elif defined ( __GNUC__ ) /*------------------ GNU Compiler ---------------------*/
-/* GNU gcc specific functions */
-
-/** \brief  No Operation
-
-    No Operation does nothing. This instruction can be used for code alignment purposes.
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE void __NOP(void)
-{
-  __ASM volatile ("nop");
-}
-
-
-/** \brief  Wait For Interrupt
-
-    Wait For Interrupt is a hint instruction that suspends execution
-    until one of a number of events occurs.
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE void __WFI(void)
-{
-  __ASM volatile ("wfi");
-}
-
-
-/** \brief  Wait For Event
-
-    Wait For Event is a hint instruction that permits the processor to enter
-    a low-power state until one of a number of events occurs.
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE void __WFE(void)
-{
-  __ASM volatile ("wfe");
-}
-
-
-/** \brief  Send Event
-
-    Send Event is a hint instruction. It causes an event to be signaled to the CPU.
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE void __SEV(void)
-{
-  __ASM volatile ("sev");
-}
-
-
-/** \brief  Instruction Synchronization Barrier
-
-    Instruction Synchronization Barrier flushes the pipeline in the processor,
-    so that all instructions following the ISB are fetched from cache or
-    memory, after the instruction has been completed.
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE void __ISB(void)
-{
-  __ASM volatile ("isb");
-}
-
-
-/** \brief  Data Synchronization Barrier
-
-    This function acts as a special kind of Data Memory Barrier.
-    It completes when all explicit memory accesses before this instruction complete.
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE void __DSB(void)
-{
-  __ASM volatile ("dsb");
-}
-
-
-/** \brief  Data Memory Barrier
-
-    This function ensures the apparent order of the explicit memory operations before
-    and after the instruction, without ensuring their completion.
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE void __DMB(void)
-{
-  __ASM volatile ("dmb");
-}
-
-
-/** \brief  Reverse byte order (32 bit)
-
-    This function reverses the byte order in integer value.
-
-    \param [in]    value  Value to reverse
-    \return               Reversed value
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __REV(uint32_t value)
-{
-  uint32_t result;
-
-  __ASM volatile ("rev %0, %1" : "=r" (result) : "r" (value) );
-  return(result);
-}
-
-
-/** \brief  Reverse byte order (16 bit)
-
-    This function reverses the byte order in two unsigned short values.
-
-    \param [in]    value  Value to reverse
-    \return               Reversed value
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __REV16(uint32_t value)
-{
-  uint32_t result;
-
-  __ASM volatile ("rev16 %0, %1" : "=r" (result) : "r" (value) );
-  return(result);
-}
-
-
-/** \brief  Reverse byte order in signed short value
-
-    This function reverses the byte order in a signed short value with sign extension to integer.
-
-    \param [in]    value  Value to reverse
-    \return               Reversed value
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE int32_t __REVSH(int32_t value)
-{
-  uint32_t result;
-
-  __ASM volatile ("revsh %0, %1" : "=r" (result) : "r" (value) );
-  return(result);
-}
-
-
-/** \brief  Rotate Right in unsigned value (32 bit)
-
-    This function Rotate Right (immediate) provides the value of the contents of a register rotated by a variable number of bits.
-
-    \param [in]    value  Value to rotate
-    \param [in]    value  Number of Bits to rotate
-    \return               Rotated value
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __ROR(uint32_t op1, uint32_t op2)
-{
-
-  __ASM volatile ("ror %0, %0, %1" : "+r" (op1) : "r" (op2) );
-  return(op1);
-}
-
-
-#if       (__CORTEX_M >= 0x03)
-
-/** \brief  Reverse bit order of value
-
-    This function reverses the bit order of the given value.
-
-    \param [in]    value  Value to reverse
-    \return               Reversed value
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __RBIT(uint32_t value)
-{
-  uint32_t result;
-
-   __ASM volatile ("rbit %0, %1" : "=r" (result) : "r" (value) );
-   return(result);
-}
-
-
-/** \brief  LDR Exclusive (8 bit)
-
-    This function performs a exclusive LDR command for 8 bit value.
-
-    \param [in]    ptr  Pointer to data
-    \return             value of type uint8_t at (*ptr)
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint8_t __LDREXB(volatile uint8_t *addr)
-{
-    uint8_t result;
-
-   __ASM volatile ("ldrexb %0, [%1]" : "=r" (result) : "r" (addr) );
-   return(result);
-}
-
-
-/** \brief  LDR Exclusive (16 bit)
-
-    This function performs a exclusive LDR command for 16 bit values.
-
-    \param [in]    ptr  Pointer to data
-    \return        value of type uint16_t at (*ptr)
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint16_t __LDREXH(volatile uint16_t *addr)
-{
-    uint16_t result;
-
-   __ASM volatile ("ldrexh %0, [%1]" : "=r" (result) : "r" (addr) );
-   return(result);
-}
-
-
-/** \brief  LDR Exclusive (32 bit)
-
-    This function performs a exclusive LDR command for 32 bit values.
-
-    \param [in]    ptr  Pointer to data
-    \return        value of type uint32_t at (*ptr)
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __LDREXW(volatile uint32_t *addr)
-{
-    uint32_t result;
-
-   __ASM volatile ("ldrex %0, [%1]" : "=r" (result) : "r" (addr) );
-   return(result);
-}
-
-
-/** \brief  STR Exclusive (8 bit)
-
-    This function performs a exclusive STR command for 8 bit values.
-
-    \param [in]  value  Value to store
-    \param [in]    ptr  Pointer to location
-    \return          0  Function succeeded
-    \return          1  Function failed
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __STREXB(uint8_t value, volatile uint8_t *addr)
-{
-   uint32_t result;
-
-   __ASM volatile ("strexb %0, %2, [%1]" : "=&r" (result) : "r" (addr), "r" (value) );
-   return(result);
-}
-
-
-/** \brief  STR Exclusive (16 bit)
-
-    This function performs a exclusive STR command for 16 bit values.
-
-    \param [in]  value  Value to store
-    \param [in]    ptr  Pointer to location
-    \return          0  Function succeeded
-    \return          1  Function failed
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __STREXH(uint16_t value, volatile uint16_t *addr)
-{
-   uint32_t result;
-
-   __ASM volatile ("strexh %0, %2, [%1]" : "=&r" (result) : "r" (addr), "r" (value) );
-   return(result);
-}
-
-
-/** \brief  STR Exclusive (32 bit)
-
-    This function performs a exclusive STR command for 32 bit values.
-
-    \param [in]  value  Value to store
-    \param [in]    ptr  Pointer to location
-    \return          0  Function succeeded
-    \return          1  Function failed
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __STREXW(uint32_t value, volatile uint32_t *addr)
-{
-   uint32_t result;
-
-   __ASM volatile ("strex %0, %2, [%1]" : "=&r" (result) : "r" (addr), "r" (value) );
-   return(result);
-}
-
-
-/** \brief  Remove the exclusive lock
-
-    This function removes the exclusive lock which is created by LDREX.
-
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE void __CLREX(void)
-{
-  __ASM volatile ("clrex");
-}
-
-
-/** \brief  Signed Saturate
-
-    This function saturates a signed value.
-
-    \param [in]  value  Value to be saturated
-    \param [in]    sat  Bit position to saturate to (1..32)
-    \return             Saturated value
- */
-#define __SSAT(ARG1,ARG2) \
-({                          \
-  uint32_t __RES, __ARG1 = (ARG1); \
-  __ASM ("ssat %0, %1, %2" : "=r" (__RES) :  "I" (ARG2), "r" (__ARG1) ); \
-  __RES; \
- })
-
-
-/** \brief  Unsigned Saturate
-
-    This function saturates an unsigned value.
-
-    \param [in]  value  Value to be saturated
-    \param [in]    sat  Bit position to saturate to (0..31)
-    \return             Saturated value
- */
-#define __USAT(ARG1,ARG2) \
-({                          \
-  uint32_t __RES, __ARG1 = (ARG1); \
-  __ASM ("usat %0, %1, %2" : "=r" (__RES) :  "I" (ARG2), "r" (__ARG1) ); \
-  __RES; \
- })
-
-
-/** \brief  Count leading zeros
-
-    This function counts the number of leading zeros of a data value.
-
-    \param [in]  value  Value to count the leading zeros
-    \return             number of leading zeros in value
- */
-__attribute__( ( always_inline ) ) __STATIC_INLINE uint8_t __CLZ(uint32_t value)
-{
-  uint8_t result;
-
-  __ASM volatile ("clz %0, %1" : "=r" (result) : "r" (value) );
-  return(result);
-}
-
-#endif /* (__CORTEX_M >= 0x03) */
-
-
-
-
-#elif defined ( __TASKING__ ) /*------------------ TASKING Compiler --------------*/
-/* TASKING carm specific functions */
-
-/*
- * The CMSIS functions have been implemented as intrinsics in the compiler.
- * Please use "carm -?i" to get an up to date list of all intrinsics,
- * Including the CMSIS ones.
- */
-
-#endif
-
-/*@}*/ /* end of group CMSIS_Core_InstructionInterface */
-
-#endif /* __CORE_CMINSTR_H */
diff --git a/apps/mathlib/CMSIS/Makefile b/apps/mathlib/CMSIS/Makefile
deleted file mode 100644
index 9e28518bc..000000000
--- a/apps/mathlib/CMSIS/Makefile
+++ /dev/null
@@ -1,61 +0,0 @@
-############################################################################
-#
-#   Copyright (C) 2012 PX4 Development Team. All rights reserved.
-#
-# Redistribution and use in source and binary forms, with or without
-# modification, are permitted provided that the following conditions
-# are met:
-#
-# 1. Redistributions of source code must retain the above copyright
-#    notice, this list of conditions and the following disclaimer.
-# 2. Redistributions in binary form must reproduce the above copyright
-#    notice, this list of conditions and the following disclaimer in
-#    the documentation and/or other materials provided with the
-#    distribution.
-# 3. Neither the name PX4 nor the names of its contributors may be
-#    used to endorse or promote products derived from this software
-#    without specific prior written permission.
-#
-# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-# "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-# LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-# FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
-# COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-# INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-# BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
-# OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
-# AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-# LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-# ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-# POSSIBILITY OF SUCH DAMAGE.
-#
-############################################################################
-
-#
-# ARM CMSIS DSP library
-#
-
-#
-# Find sources
-#
-DSPLIB_SRCDIR		:= $(dir $(lastword $(MAKEFILE_LIST)))
-CSRCS			:= $(wildcard $(DSPLIB_SRCDIR)/DSP_Lib/Source/*/*.c)
-
-INCLUDES		+= $(DSPLIB_SRCDIR)/Include \
-			   $(DSPLIB_SRCDIR)/Device/ARM/ARMCM4/Include \
-			   $(DSPLIB_SRCDIR)/Device/ARM/ARMCM3/Include
-
-# Suppress some warnings that ARM should fix, but haven't.
-EXTRADEFINES		+= -Wno-unsuffixed-float-constants \
-			   -Wno-sign-compare \
-			   -Wno-shadow \
-			   -Wno-float-equal \
-			   -Wno-unused-variable
-
-#
-# Override the default visibility for symbols, since the CMSIS DSPLib doesn't
-# have anything we can use to mark exported symbols.
-#
-DEFAULT_VISIBILITY	 = YES
-
-include $(APPDIR)/mk/app.mk
diff --git a/apps/mathlib/Makefile b/apps/mathlib/Makefile
deleted file mode 100644
index 7eebd6ae0..000000000
--- a/apps/mathlib/Makefile
+++ /dev/null
@@ -1,62 +0,0 @@
-############################################################################
-#
-#   Copyright (C) 2012 PX4 Development Team. All rights reserved.
-#
-# Redistribution and use in source and binary forms, with or without
-# modification, are permitted provided that the following conditions
-# are met:
-#
-# 1. Redistributions of source code must retain the above copyright
-#    notice, this list of conditions and the following disclaimer.
-# 2. Redistributions in binary form must reproduce the above copyright
-#    notice, this list of conditions and the following disclaimer in
-#    the documentation and/or other materials provided with the
-#    distribution.
-# 3. Neither the name PX4 nor the names of its contributors may be
-#    used to endorse or promote products derived from this software
-#    without specific prior written permission.
-#
-# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-# "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-# LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-# FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
-# COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-# INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-# BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
-# OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
-# AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-# LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-# ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-# POSSIBILITY OF SUCH DAMAGE.
-#
-############################################################################
-
-#
-# Math library
-#
-CXXSRCS		 = math/test/test.cpp \
-		   math/Vector.cpp \
-		   math/Vector3.cpp \
-		   math/EulerAngles.cpp \
-		   math/Quaternion.cpp \
-		   math/Dcm.cpp \
-		   math/Matrix.cpp
-
-#
-# In order to include .config we first have to save off the
-# current makefile name, since app.mk needs it.
-#
-APP_MAKEFILE	:= $(lastword $(MAKEFILE_LIST))
--include $(TOPDIR)/.config
-
-ifeq ($(CONFIG_ARCH_CORTEXM4)$(CONFIG_ARCH_FPU),yy)
-INCLUDES	+= math/arm
-CXXSRCS		+= math/arm/Vector.cpp \
-		   math/arm/Matrix.cpp
-else
-INCLUDES	+= math/generic
-CXXSRCS		+= math/generic/Vector.cpp \
-		   math/generic/Matrix.cpp
-endif
-
-include $(APPDIR)/mk/app.mk
diff --git a/apps/mathlib/math/Dcm.cpp b/apps/mathlib/math/Dcm.cpp
deleted file mode 100644
index df0f09b20..000000000
--- a/apps/mathlib/math/Dcm.cpp
+++ /dev/null
@@ -1,165 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file Dcm.cpp
- *
- * math direction cosine matrix
- */
-
-#include "math/test/test.hpp"
-
-#include "Dcm.hpp"
-#include "Quaternion.hpp"
-#include "EulerAngles.hpp"
-#include "Vector3.hpp"
-
-namespace math
-{
-
-Dcm::Dcm() :
-	Matrix(Matrix::identity(3))
-{
-}
-
-Dcm::Dcm(float c00, float c01, float c02,
-	 float c10, float c11, float c12,
-	 float c20, float c21, float c22) :
-	Matrix(3, 3)
-{
-	Dcm &dcm = *this;
-	dcm(0, 0) = c00;
-	dcm(0, 1) = c01;
-	dcm(0, 2) = c02;
-	dcm(1, 0) = c10;
-	dcm(1, 1) = c11;
-	dcm(1, 2) = c12;
-	dcm(2, 0) = c20;
-	dcm(2, 1) = c21;
-	dcm(2, 2) = c22;
-}
-
-Dcm::Dcm(const float *data) :
-	Matrix(3, 3, data)
-{
-}
-
-Dcm::Dcm(const Quaternion &q) :
-	Matrix(3, 3)
-{
-	Dcm &dcm = *this;
-	double a = q.getA();
-	double b = q.getB();
-	double c = q.getC();
-	double d = q.getD();
-	double aSq = a * a;
-	double bSq = b * b;
-	double cSq = c * c;
-	double dSq = d * d;
-	dcm(0, 0) = aSq + bSq - cSq - dSq;
-	dcm(0, 1) = 2.0 * (b * c - a * d);
-	dcm(0, 2) = 2.0 * (a * c + b * d);
-	dcm(1, 0) = 2.0 * (b * c + a * d);
-	dcm(1, 1) = aSq - bSq + cSq - dSq;
-	dcm(1, 2) = 2.0 * (c * d - a * b);
-	dcm(2, 0) = 2.0 * (b * d - a * c);
-	dcm(2, 1) = 2.0 * (a * b + c * d);
-	dcm(2, 2) = aSq - bSq - cSq + dSq;
-}
-
-Dcm::Dcm(const EulerAngles &euler) :
-	Matrix(3, 3)
-{
-	Dcm &dcm = *this;
-	double cosPhi = cos(euler.getPhi());
-	double sinPhi = sin(euler.getPhi());
-	double cosThe = cos(euler.getTheta());
-	double sinThe = sin(euler.getTheta());
-	double cosPsi = cos(euler.getPsi());
-	double sinPsi = sin(euler.getPsi());
-
-	dcm(0, 0) = cosThe * cosPsi;
-	dcm(0, 1) = -cosPhi * sinPsi + sinPhi * sinThe * cosPsi;
-	dcm(0, 2) = sinPhi * sinPsi + cosPhi * sinThe * cosPsi;
-
-	dcm(1, 0) = cosThe * sinPsi;
-	dcm(1, 1) = cosPhi * cosPsi + sinPhi * sinThe * sinPsi;
-	dcm(1, 2) = -sinPhi * cosPsi + cosPhi * sinThe * sinPsi;
-
-	dcm(2, 0) = -sinThe;
-	dcm(2, 1) = sinPhi * cosThe;
-	dcm(2, 2) = cosPhi * cosThe;
-}
-
-Dcm::Dcm(const Dcm &right) :
-	Matrix(right)
-{
-}
-
-Dcm::~Dcm()
-{
-}
-
-int __EXPORT dcmTest()
-{
-	printf("Test DCM\t\t: ");
-	// default ctor
-	ASSERT(matrixEqual(Dcm(),
-			   Matrix::identity(3)));
-	// quaternion ctor
-	ASSERT(matrixEqual(
-		       Dcm(Quaternion(0.983347f, 0.034271f, 0.106021f, 0.143572f)),
-		       Dcm(0.9362934f, -0.2750958f,  0.2183507f,
-			   0.2896295f,  0.9564251f, -0.0369570f,
-			   -0.1986693f,  0.0978434f,  0.9751703f)));
-	// euler angle ctor
-	ASSERT(matrixEqual(
-		       Dcm(EulerAngles(0.1f, 0.2f, 0.3f)),
-		       Dcm(0.9362934f, -0.2750958f,  0.2183507f,
-			   0.2896295f,  0.9564251f, -0.0369570f,
-			   -0.1986693f,  0.0978434f,  0.9751703f)));
-	// rotations
-	Vector3 vB(1, 2, 3);
-	ASSERT(vectorEqual(Vector3(-2.0f, 1.0f, 3.0f),
-			   Dcm(EulerAngles(0.0f, 0.0f, M_PI_2_F))*vB));
-	ASSERT(vectorEqual(Vector3(3.0f, 2.0f, -1.0f),
-			   Dcm(EulerAngles(0.0f, M_PI_2_F, 0.0f))*vB));
-	ASSERT(vectorEqual(Vector3(1.0f, -3.0f, 2.0f),
-			   Dcm(EulerAngles(M_PI_2_F, 0.0f, 0.0f))*vB));
-	ASSERT(vectorEqual(Vector3(3.0f, 2.0f, -1.0f),
-			   Dcm(EulerAngles(
-				       M_PI_2_F, M_PI_2_F, M_PI_2_F))*vB));
-	printf("PASS\n");
-	return 0;
-}
-} // namespace math
diff --git a/apps/mathlib/math/Dcm.hpp b/apps/mathlib/math/Dcm.hpp
deleted file mode 100644
index 28d840b10..000000000
--- a/apps/mathlib/math/Dcm.hpp
+++ /dev/null
@@ -1,103 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file Dcm.hpp
- *
- * math direction cosine matrix
- */
-
-//#pragma once
-
-#include "Vector.hpp"
-#include "Matrix.hpp"
-
-namespace math
-{
-
-class Quaternion;
-class EulerAngles;
-
-/**
- * This is a Tait Bryan, Body 3-2-1 sequence.
- * (yaw)-(pitch)-(roll)
- * The Dcm transforms a vector in the body frame
- * to the navigation frame, typically represented
- * as C_nb. C_bn can be obtained through use
- * of the transpose() method.
- */
-class __EXPORT Dcm : public Matrix
-{
-public:
-	/**
-	 * default ctor
-	 */
-	Dcm();
-
-	/**
-	 * scalar ctor
-	 */
-	Dcm(float c00, float c01, float c02,
-	    float c10, float c11, float c12,
-	    float c20, float c21, float c22);
-
-	/**
-	 * data ctor
-	 */
-	Dcm(const float *data);
-
-	/**
-	 * quaternion ctor
-	 */
-	Dcm(const Quaternion &q);
-
-	/**
-	 * euler angles ctor
-	 */
-	Dcm(const EulerAngles &euler);
-
-	/**
-	 * copy ctor (deep)
-	 */
-	Dcm(const Dcm &right);
-
-	/**
-	 * dtor
-	 */
-	virtual ~Dcm();
-};
-
-int __EXPORT dcmTest();
-
-} // math
-
diff --git a/apps/mathlib/math/EulerAngles.cpp b/apps/mathlib/math/EulerAngles.cpp
deleted file mode 100644
index 2e96fef4c..000000000
--- a/apps/mathlib/math/EulerAngles.cpp
+++ /dev/null
@@ -1,126 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file Vector.cpp
- *
- * math vector
- */
-
-#include "math/test/test.hpp"
-
-#include "EulerAngles.hpp"
-#include "Quaternion.hpp"
-#include "Dcm.hpp"
-#include "Vector3.hpp"
-
-namespace math
-{
-
-EulerAngles::EulerAngles() :
-	Vector(3)
-{
-	setPhi(0.0f);
-	setTheta(0.0f);
-	setPsi(0.0f);
-}
-
-EulerAngles::EulerAngles(float phi, float theta, float psi) :
-	Vector(3)
-{
-	setPhi(phi);
-	setTheta(theta);
-	setPsi(psi);
-}
-
-EulerAngles::EulerAngles(const Quaternion &q) :
-	Vector(3)
-{
-	(*this) = EulerAngles(Dcm(q));
-}
-
-EulerAngles::EulerAngles(const Dcm &dcm) :
-	Vector(3)
-{
-	setTheta(asinf(-dcm(2, 0)));
-
-	if (fabsf(getTheta() - M_PI_2_F) < 1.0e-3f) {
-		setPhi(0.0f);
-		setPsi(atan2f(dcm(1, 2) - dcm(0, 1),
-			      dcm(0, 2) + dcm(1, 1)) + getPhi());
-
-	} else if (fabsf(getTheta() + M_PI_2_F) < 1.0e-3f) {
-		setPhi(0.0f);
-		setPsi(atan2f(dcm(1, 2) - dcm(0, 1),
-			      dcm(0, 2) + dcm(1, 1)) - getPhi());
-
-	} else {
-		setPhi(atan2f(dcm(2, 1), dcm(2, 2)));
-		setPsi(atan2f(dcm(1, 0), dcm(0, 0)));
-	}
-}
-
-EulerAngles::~EulerAngles()
-{
-}
-
-int __EXPORT eulerAnglesTest()
-{
-	printf("Test EulerAngles\t: ");
-	EulerAngles euler(0.1f, 0.2f, 0.3f);
-
-	// test ctor
-	ASSERT(vectorEqual(Vector3(0.1f, 0.2f, 0.3f), euler));
-	ASSERT(equal(euler.getPhi(), 0.1f));
-	ASSERT(equal(euler.getTheta(), 0.2f));
-	ASSERT(equal(euler.getPsi(), 0.3f));
-
-	// test dcm ctor
-	euler = Dcm(EulerAngles(0.1f, 0.2f, 0.3f));
-	ASSERT(vectorEqual(Vector3(0.1f, 0.2f, 0.3f), euler));
-
-	// test quat ctor
-	euler = Quaternion(EulerAngles(0.1f, 0.2f, 0.3f));
-	ASSERT(vectorEqual(Vector3(0.1f, 0.2f, 0.3f), euler));
-
-	// test assignment
-	euler.setPhi(0.4f);
-	euler.setTheta(0.5f);
-	euler.setPsi(0.6f);
-	ASSERT(vectorEqual(Vector3(0.4f, 0.5f, 0.6f), euler));
-
-	printf("PASS\n");
-	return 0;
-}
-
-} // namespace math
diff --git a/apps/mathlib/math/EulerAngles.hpp b/apps/mathlib/math/EulerAngles.hpp
deleted file mode 100644
index 399eecfa7..000000000
--- a/apps/mathlib/math/EulerAngles.hpp
+++ /dev/null
@@ -1,74 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file Vector.h
- *
- * math vector
- */
-
-#pragma once
-
-#include "Vector.hpp"
-
-namespace math
-{
-
-class Quaternion;
-class Dcm;
-
-class __EXPORT EulerAngles : public Vector
-{
-public:
-	EulerAngles();
-	EulerAngles(float phi, float theta, float psi);
-	EulerAngles(const Quaternion &q);
-	EulerAngles(const Dcm &dcm);
-	virtual ~EulerAngles();
-
-	// alias
-	void setPhi(float phi) { (*this)(0) = phi; }
-	void setTheta(float theta) { (*this)(1) = theta; }
-	void setPsi(float psi) { (*this)(2) = psi; }
-
-	// const accessors
-	const float &getPhi() const { return (*this)(0); }
-	const float &getTheta() const { return (*this)(1); }
-	const float &getPsi() const { return (*this)(2); }
-
-};
-
-int __EXPORT eulerAnglesTest();
-
-} // math
-
diff --git a/apps/mathlib/math/Matrix.cpp b/apps/mathlib/math/Matrix.cpp
deleted file mode 100644
index 981732370..000000000
--- a/apps/mathlib/math/Matrix.cpp
+++ /dev/null
@@ -1,193 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file Matrix.cpp
- *
- * matrix code
- */
-
-#include "math/test/test.hpp"
-#include 
-
-#include "Matrix.hpp"
-
-namespace math
-{
-
-static const float data_testA[] = {
-	1, 2, 3,
-	4, 5, 6
-};
-static Matrix testA(2, 3, data_testA);
-
-static const float data_testB[] = {
-	0, 1, 3,
-	7, -1, 2
-};
-static Matrix testB(2, 3, data_testB);
-
-static const float data_testC[] = {
-	0, 1,
-	2, 1,
-	3, 2
-};
-static Matrix testC(3, 2, data_testC);
-
-static const float data_testD[] = {
-	0, 1, 2,
-	2, 1, 4,
-	5, 2, 0
-};
-static Matrix testD(3, 3, data_testD);
-
-static const float data_testE[] = {
-	1, -1, 2,
-	0, 2, 3,
-	2, -1, 1
-};
-static Matrix testE(3, 3, data_testE);
-
-static const float data_testF[] = {
-	3.777e006f, 2.915e007f, 0.000e000f,
-	2.938e007f, 2.267e008f, 0.000e000f,
-	0.000e000f, 0.000e000f, 6.033e008f
-};
-static Matrix testF(3, 3, data_testF);
-
-int __EXPORT matrixTest()
-{
-	matrixAddTest();
-	matrixSubTest();
-	matrixMultTest();
-	matrixInvTest();
-	matrixDivTest();
-	return 0;
-}
-
-int matrixAddTest()
-{
-	printf("Test Matrix Add\t\t: ");
-	Matrix r = testA + testB;
-	float data_test[] = {
-		1.0f, 3.0f, 6.0f,
-		11.0f, 4.0f, 8.0f
-	};
-	ASSERT(matrixEqual(Matrix(2, 3, data_test), r));
-	printf("PASS\n");
-	return 0;
-}
-
-int matrixSubTest()
-{
-	printf("Test Matrix Sub\t\t: ");
-	Matrix r = testA - testB;
-	float data_test[] = {
-		1.0f, 1.0f, 0.0f,
-		-3.0f, 6.0f, 4.0f
-	};
-	ASSERT(matrixEqual(Matrix(2, 3, data_test), r));
-	printf("PASS\n");
-	return 0;
-}
-
-int matrixMultTest()
-{
-	printf("Test Matrix Mult\t: ");
-	Matrix r = testC * testB;
-	float data_test[] = {
-		7.0f, -1.0f,  2.0f,
-		7.0f,  1.0f,  8.0f,
-		14.0f,  1.0f, 13.0f
-	};
-	ASSERT(matrixEqual(Matrix(3, 3, data_test), r));
-	printf("PASS\n");
-	return 0;
-}
-
-int matrixInvTest()
-{
-	printf("Test Matrix Inv\t\t: ");
-	Matrix origF = testF;
-	Matrix r = testF.inverse();
-	float data_test[] = {
-		-0.0012518f,  0.0001610f, 0.0000000f,
-		0.0001622f, -0.0000209f, 0.0000000f,
-		0.0000000f,  0.0000000f, 1.6580e-9f
-	};
-	ASSERT(matrixEqual(Matrix(3, 3, data_test), r));
-	// make sure F in unchanged
-	ASSERT(matrixEqual(origF, testF));
-	printf("PASS\n");
-	return 0;
-}
-
-int matrixDivTest()
-{
-	printf("Test Matrix Div\t\t: ");
-	Matrix r = testD / testE;
-	float data_test[] = {
-		0.2222222f, 0.5555556f, -0.1111111f,
-		0.0f,       1.0f,         1.0,
-		-4.1111111f, 1.2222222f,  4.5555556f
-	};
-	ASSERT(matrixEqual(Matrix(3, 3, data_test), r));
-	printf("PASS\n");
-	return 0;
-}
-
-bool matrixEqual(const Matrix &a, const Matrix &b, float eps)
-{
-	if (a.getRows() != b.getRows()) {
-		printf("row number not equal a: %d, b:%d\n", a.getRows(), b.getRows());
-		return false;
-
-	} else if (a.getCols() != b.getCols()) {
-		printf("column number not equal a: %d, b:%d\n", a.getCols(), b.getCols());
-		return false;
-	}
-
-	bool ret = true;
-
-	for (size_t i = 0; i < a.getRows(); i++)
-		for (size_t j = 0; j < a.getCols(); j++) {
-			if (!equal(a(i, j), b(i, j), eps)) {
-				printf("element mismatch (%d, %d)\n", i, j);
-				ret = false;
-			}
-		}
-
-	return ret;
-}
-
-} // namespace math
diff --git a/apps/mathlib/math/Matrix.hpp b/apps/mathlib/math/Matrix.hpp
deleted file mode 100644
index f19db15ec..000000000
--- a/apps/mathlib/math/Matrix.hpp
+++ /dev/null
@@ -1,61 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file Matrix.h
- *
- * matrix code
- */
-
-#pragma once
-
-#include 
-
-#if defined(CONFIG_ARCH_CORTEXM4) && defined(CONFIG_ARCH_FPU)
-#include "arm/Matrix.hpp"
-#else
-#include "generic/Matrix.hpp"
-#endif
-
-namespace math
-{
-class Matrix;
-int matrixTest();
-int matrixAddTest();
-int matrixSubTest();
-int matrixMultTest();
-int matrixInvTest();
-int matrixDivTest();
-int matrixArmTest();
-bool matrixEqual(const Matrix &a, const Matrix &b, float eps = 1.0e-5f);
-} // namespace math
diff --git a/apps/mathlib/math/Quaternion.cpp b/apps/mathlib/math/Quaternion.cpp
deleted file mode 100644
index 78481b286..000000000
--- a/apps/mathlib/math/Quaternion.cpp
+++ /dev/null
@@ -1,174 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file Quaternion.cpp
- *
- * math vector
- */
-
-#include "math/test/test.hpp"
-
-
-#include "Quaternion.hpp"
-#include "Dcm.hpp"
-#include "EulerAngles.hpp"
-
-namespace math
-{
-
-Quaternion::Quaternion() :
-	Vector(4)
-{
-	setA(1.0f);
-	setB(0.0f);
-	setC(0.0f);
-	setD(0.0f);
-}
-
-Quaternion::Quaternion(float a, float b,
-		       float c, float d) :
-	Vector(4)
-{
-	setA(a);
-	setB(b);
-	setC(c);
-	setD(d);
-}
-
-Quaternion::Quaternion(const float *data) :
-	Vector(4, data)
-{
-}
-
-Quaternion::Quaternion(const Vector &v) :
-	Vector(v)
-{
-}
-
-Quaternion::Quaternion(const Dcm &dcm) :
-	Vector(4)
-{
-	// avoiding singularities by not using
-	// division equations
-	setA(0.5 * sqrt(1.0 +
-			double(dcm(0, 0) + dcm(1, 1) + dcm(2, 2))));
-	setB(0.5 * sqrt(1.0 +
-			double(dcm(0, 0) - dcm(1, 1) - dcm(2, 2))));
-	setC(0.5 * sqrt(1.0 +
-			double(-dcm(0, 0) + dcm(1, 1) - dcm(2, 2))));
-	setD(0.5 * sqrt(1.0 +
-			double(-dcm(0, 0) - dcm(1, 1) + dcm(2, 2))));
-}
-
-Quaternion::Quaternion(const EulerAngles &euler) :
-	Vector(4)
-{
-	double cosPhi_2 = cos(double(euler.getPhi()) / 2.0);
-	double sinPhi_2 = sin(double(euler.getPhi()) / 2.0);
-	double cosTheta_2 = cos(double(euler.getTheta()) / 2.0);
-	double sinTheta_2 = sin(double(euler.getTheta()) / 2.0);
-	double cosPsi_2 = cos(double(euler.getPsi()) / 2.0);
-	double sinPsi_2 = sin(double(euler.getPsi()) / 2.0);
-	setA(cosPhi_2 * cosTheta_2 * cosPsi_2 +
-	     sinPhi_2 * sinTheta_2 * sinPsi_2);
-	setB(sinPhi_2 * cosTheta_2 * cosPsi_2 -
-	     cosPhi_2 * sinTheta_2 * sinPsi_2);
-	setC(cosPhi_2 * sinTheta_2 * cosPsi_2 +
-	     sinPhi_2 * cosTheta_2 * sinPsi_2);
-	setD(cosPhi_2 * cosTheta_2 * sinPsi_2 -
-	     sinPhi_2 * sinTheta_2 * cosPsi_2);
-}
-
-Quaternion::Quaternion(const Quaternion &right) :
-	Vector(right)
-{
-}
-
-Quaternion::~Quaternion()
-{
-}
-
-Vector Quaternion::derivative(const Vector &w)
-{
-#ifdef QUATERNION_ASSERT
-	ASSERT(w.getRows() == 3);
-#endif
-	float dataQ[] = {
-		getA(), -getB(), -getC(), -getD(),
-		getB(),  getA(), -getD(),  getC(),
-		getC(),  getD(),  getA(), -getB(),
-		getD(), -getC(),  getB(),  getA()
-	};
-	Vector v(4);
-	v(0) = 0.0f;
-	v(1) = w(0);
-	v(2) = w(1);
-	v(3) = w(2);
-	Matrix Q(4, 4, dataQ);
-	return Q * v * 0.5f;
-}
-
-int __EXPORT quaternionTest()
-{
-	printf("Test Quaternion\t\t: ");
-	// test default ctor
-	Quaternion q;
-	ASSERT(equal(q.getA(), 1.0f));
-	ASSERT(equal(q.getB(), 0.0f));
-	ASSERT(equal(q.getC(), 0.0f));
-	ASSERT(equal(q.getD(), 0.0f));
-	// test float ctor
-	q = Quaternion(0.1825742f, 0.3651484f, 0.5477226f, 0.7302967f);
-	ASSERT(equal(q.getA(), 0.1825742f));
-	ASSERT(equal(q.getB(), 0.3651484f));
-	ASSERT(equal(q.getC(), 0.5477226f));
-	ASSERT(equal(q.getD(), 0.7302967f));
-	// test euler ctor
-	q = Quaternion(EulerAngles(0.1f, 0.2f, 0.3f));
-	ASSERT(vectorEqual(q, Quaternion(0.983347f, 0.034271f, 0.106021f, 0.143572f)));
-	// test dcm ctor
-	q = Quaternion(Dcm());
-	ASSERT(vectorEqual(q, Quaternion(1.0f, 0.0f, 0.0f, 0.0f)));
-	// TODO test derivative
-	// test accessors
-	q.setA(0.1f);
-	q.setB(0.2f);
-	q.setC(0.3f);
-	q.setD(0.4f);
-	ASSERT(vectorEqual(q, Quaternion(0.1f, 0.2f, 0.3f, 0.4f)));
-	printf("PASS\n");
-	return 0;
-}
-
-} // namespace math
diff --git a/apps/mathlib/math/Quaternion.hpp b/apps/mathlib/math/Quaternion.hpp
deleted file mode 100644
index 4b4e959d8..000000000
--- a/apps/mathlib/math/Quaternion.hpp
+++ /dev/null
@@ -1,115 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file Quaternion.hpp
- *
- * math quaternion lib
- */
-
-//#pragma once
-
-#include "Vector.hpp"
-#include "Matrix.hpp"
-
-namespace math
-{
-
-class Dcm;
-class EulerAngles;
-
-class __EXPORT Quaternion : public Vector
-{
-public:
-
-	/**
-	 * default ctor
-	 */
-	Quaternion();
-
-	/**
-	 * ctor from floats
-	 */
-	Quaternion(float a, float b, float c, float d);
-
-	/**
-	 * ctor from data
-	 */
-	Quaternion(const float *data);
-
-	/**
-	 * ctor from Vector
-	 */
-	Quaternion(const Vector &v);
-
-	/**
-	 * ctor from EulerAngles
-	 */
-	Quaternion(const EulerAngles &euler);
-
-	/**
-	 * ctor from Dcm
-	 */
-	Quaternion(const Dcm &dcm);
-
-	/**
-	 * deep copy ctor
-	 */
-	Quaternion(const Quaternion &right);
-
-	/**
-	 * dtor
-	 */
-	virtual ~Quaternion();
-
-	/**
-	 * derivative
-	 */
-	Vector derivative(const Vector &w);
-
-	/**
-	 * accessors
-	 */
-	void setA(float a) { (*this)(0) = a; }
-	void setB(float b) { (*this)(1) = b; }
-	void setC(float c) { (*this)(2) = c; }
-	void setD(float d) { (*this)(3) = d; }
-	const float &getA() const { return (*this)(0); }
-	const float &getB() const { return (*this)(1); }
-	const float &getC() const { return (*this)(2); }
-	const float &getD() const { return (*this)(3); }
-};
-
-int __EXPORT quaternionTest();
-} // math
-
diff --git a/apps/mathlib/math/Vector.cpp b/apps/mathlib/math/Vector.cpp
deleted file mode 100644
index d58e719db..000000000
--- a/apps/mathlib/math/Vector.cpp
+++ /dev/null
@@ -1,100 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file Vector.cpp
- *
- * math vector
- */
-
-#include "math/test/test.hpp"
-
-#include "Vector.hpp"
-
-namespace math
-{
-
-static const float data_testA[] = {1, 3};
-static const float data_testB[] = {4, 1};
-
-static Vector testA(2, data_testA);
-static Vector testB(2, data_testB);
-
-int __EXPORT vectorTest()
-{
-	vectorAddTest();
-	vectorSubTest();
-	return 0;
-}
-
-int vectorAddTest()
-{
-	printf("Test Vector Add\t\t: ");
-	Vector r = testA + testB;
-	float data_test[] = {5.0f, 4.0f};
-	ASSERT(vectorEqual(Vector(2, data_test), r));
-	printf("PASS\n");
-	return 0;
-}
-
-int vectorSubTest()
-{
-	printf("Test Vector Sub\t\t: ");
-	Vector r(2);
-	r = testA - testB;
-	float data_test[] = { -3.0f, 2.0f};
-	ASSERT(vectorEqual(Vector(2, data_test), r));
-	printf("PASS\n");
-	return 0;
-}
-
-bool vectorEqual(const Vector &a, const Vector &b, float eps)
-{
-	if (a.getRows() != b.getRows()) {
-		printf("row number not equal a: %d, b:%d\n", a.getRows(), b.getRows());
-		return false;
-	}
-
-	bool ret = true;
-
-	for (size_t i = 0; i < a.getRows(); i++) {
-		if (!equal(a(i), b(i), eps)) {
-			printf("element mismatch (%d)\n", i);
-			ret = false;
-		}
-	}
-
-	return ret;
-}
-
-} // namespace math
diff --git a/apps/mathlib/math/Vector.hpp b/apps/mathlib/math/Vector.hpp
deleted file mode 100644
index 73de793d5..000000000
--- a/apps/mathlib/math/Vector.hpp
+++ /dev/null
@@ -1,57 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file Vector.h
- *
- * math vector
- */
-
-#pragma once
-
-#include 
-
-#if defined(CONFIG_ARCH_CORTEXM4) && defined(CONFIG_ARCH_FPU)
-#include "arm/Vector.hpp"
-#else
-#include "generic/Vector.hpp"
-#endif
-
-namespace math
-{
-class Vector;
-int __EXPORT vectorTest();
-int __EXPORT vectorAddTest();
-int __EXPORT vectorSubTest();
-bool vectorEqual(const Vector &a, const Vector &b, float eps = 1.0e-5f);
-} // math
diff --git a/apps/mathlib/math/Vector3.cpp b/apps/mathlib/math/Vector3.cpp
deleted file mode 100644
index 9c57506da..000000000
--- a/apps/mathlib/math/Vector3.cpp
+++ /dev/null
@@ -1,99 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file Vector3.cpp
- *
- * math vector
- */
-
-#include "math/test/test.hpp"
-
-#include "Vector3.hpp"
-
-namespace math
-{
-
-Vector3::Vector3() :
-	Vector(3)
-{
-}
-
-Vector3::Vector3(const Vector &right) :
-	Vector(right)
-{
-#ifdef VECTOR_ASSERT
-	ASSERT(right.getRows() == 3);
-#endif
-}
-
-Vector3::Vector3(float x, float y, float z) :
-	Vector(3)
-{
-	setX(x);
-	setY(y);
-	setZ(z);
-}
-
-Vector3::Vector3(const float *data) :
-	Vector(3, data)
-{
-}
-
-Vector3::~Vector3()
-{
-}
-
-Vector3 Vector3::cross(const Vector3 &b)
-{
-	Vector3 &a = *this;
-	Vector3 result;
-	result(0) = a(1) * b(2) - a(2) * b(1);
-	result(1) = a(2) * b(0) - a(0) * b(2);
-	result(2) = a(0) * b(1) - a(1) * b(0);
-	return result;
-}
-
-int __EXPORT vector3Test()
-{
-	printf("Test Vector3\t\t: ");
-	// test float ctor
-	Vector3 v(1, 2, 3);
-	ASSERT(equal(v(0), 1));
-	ASSERT(equal(v(1), 2));
-	ASSERT(equal(v(2), 3));
-	printf("PASS\n");
-	return 0;
-}
-
-} // namespace math
diff --git a/apps/mathlib/math/Vector3.hpp b/apps/mathlib/math/Vector3.hpp
deleted file mode 100644
index 8c36ac134..000000000
--- a/apps/mathlib/math/Vector3.hpp
+++ /dev/null
@@ -1,71 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file Vector3.hpp
- *
- * math 3 vector
- */
-
-#pragma once
-
-#include "Vector.hpp"
-
-namespace math
-{
-
-class __EXPORT Vector3 :
-	public Vector
-{
-public:
-	Vector3();
-	Vector3(const Vector &right);
-	Vector3(float x, float y, float z);
-	Vector3(const float *data);
-	virtual ~Vector3();
-	Vector3 cross(const Vector3 &b);
-
-	/**
-	 * accessors
-	 */
-	void setX(float x) { (*this)(0) = x; }
-	void setY(float y) { (*this)(1) = y; }
-	void setZ(float z) { (*this)(2) = z; }
-	const float &getX() const { return (*this)(0); }
-	const float &getY() const { return (*this)(1); }
-	const float &getZ() const { return (*this)(2); }
-};
-
-int __EXPORT vector3Test();
-} // math
-
diff --git a/apps/mathlib/math/arm/Matrix.cpp b/apps/mathlib/math/arm/Matrix.cpp
deleted file mode 100644
index 21661622a..000000000
--- a/apps/mathlib/math/arm/Matrix.cpp
+++ /dev/null
@@ -1,40 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file Matrix.cpp
- *
- * matrix code
- */
-
-#include "Matrix.hpp"
diff --git a/apps/mathlib/math/arm/Matrix.hpp b/apps/mathlib/math/arm/Matrix.hpp
deleted file mode 100644
index 715fd3a5e..000000000
--- a/apps/mathlib/math/arm/Matrix.hpp
+++ /dev/null
@@ -1,292 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file Matrix.h
- *
- * matrix code
- */
-
-#pragma once
-
-
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-
-#include "../Vector.hpp"
-#include "../Matrix.hpp"
-
-// arm specific
-#include "../../CMSIS/Include/arm_math.h"
-
-namespace math
-{
-
-class __EXPORT Matrix
-{
-public:
-	// constructor
-	Matrix(size_t rows, size_t cols) :
-		_matrix() {
-		arm_mat_init_f32(&_matrix,
-				 rows, cols,
-				 (float *)calloc(rows * cols, sizeof(float)));
-	}
-	Matrix(size_t rows, size_t cols, const float *data) :
-		_matrix() {
-		arm_mat_init_f32(&_matrix,
-				 rows, cols,
-				 (float *)malloc(rows * cols * sizeof(float)));
-		memcpy(getData(), data, getSize());
-	}
-	// deconstructor
-	virtual ~Matrix() {
-		delete [] _matrix.pData;
-	}
-	// copy constructor (deep)
-	Matrix(const Matrix &right) :
-		_matrix() {
-		arm_mat_init_f32(&_matrix,
-				 right.getRows(), right.getCols(),
-				 (float *)malloc(right.getRows()*
-						 right.getCols()*sizeof(float)));
-		memcpy(getData(), right.getData(),
-		       getSize());
-	}
-	// assignment
-	inline Matrix &operator=(const Matrix &right) {
-#ifdef MATRIX_ASSERT
-		ASSERT(getRows() == right.getRows());
-		ASSERT(getCols() == right.getCols());
-#endif
-
-		if (this != &right) {
-			memcpy(getData(), right.getData(),
-			       right.getSize());
-		}
-
-		return *this;
-	}
-	// element accessors
-	inline float &operator()(size_t i, size_t j) {
-#ifdef MATRIX_ASSERT
-		ASSERT(i < getRows());
-		ASSERT(j < getCols());
-#endif
-		return getData()[i * getCols() + j];
-	}
-	inline const float &operator()(size_t i, size_t j) const {
-#ifdef MATRIX_ASSERT
-		ASSERT(i < getRows());
-		ASSERT(j < getCols());
-#endif
-		return getData()[i * getCols() + j];
-	}
-	// output
-	inline void print() const {
-		for (size_t i = 0; i < getRows(); i++) {
-			for (size_t j = 0; j < getCols(); j++) {
-				float sig;
-				int exp;
-				float num = (*this)(i, j);
-				float2SigExp(num, sig, exp);
-				printf("%6.3fe%03.3d,", (double)sig, exp);
-			}
-
-			printf("\n");
-		}
-	}
-	// boolean ops
-	inline bool operator==(const Matrix &right) const {
-		for (size_t i = 0; i < getRows(); i++) {
-			for (size_t j = 0; j < getCols(); j++) {
-				if (fabsf((*this)(i, j) - right(i, j)) > 1e-30f)
-					return false;
-			}
-		}
-
-		return true;
-	}
-	// scalar ops
-	inline Matrix operator+(float right) const {
-		Matrix result(getRows(), getCols());
-		arm_offset_f32((float *)getData(), right,
-			       (float *)result.getData(), getRows()*getCols());
-		return result;
-	}
-	inline Matrix operator-(float right) const {
-		Matrix result(getRows(), getCols());
-		arm_offset_f32((float *)getData(), -right,
-			       (float *)result.getData(), getRows()*getCols());
-		return result;
-	}
-	inline Matrix operator*(float right) const {
-		Matrix result(getRows(), getCols());
-		arm_mat_scale_f32(&_matrix, right,
-				  &(result._matrix));
-		return result;
-	}
-	inline Matrix operator/(float right) const {
-		Matrix result(getRows(), getCols());
-		arm_mat_scale_f32(&_matrix, 1.0f / right,
-				  &(result._matrix));
-		return result;
-	}
-	// vector ops
-	inline Vector operator*(const Vector &right) const {
-#ifdef MATRIX_ASSERT
-		ASSERT(getCols() == right.getRows());
-#endif
-		Matrix resultMat = (*this) *
-				   Matrix(right.getRows(), 1, right.getData());
-		return Vector(getRows(), resultMat.getData());
-	}
-	// matrix ops
-	inline Matrix operator+(const Matrix &right) const {
-#ifdef MATRIX_ASSERT
-		ASSERT(getRows() == right.getRows());
-		ASSERT(getCols() == right.getCols());
-#endif
-		Matrix result(getRows(), getCols());
-		arm_mat_add_f32(&_matrix, &(right._matrix),
-				&(result._matrix));
-		return result;
-	}
-	inline Matrix operator-(const Matrix &right) const {
-#ifdef MATRIX_ASSERT
-		ASSERT(getRows() == right.getRows());
-		ASSERT(getCols() == right.getCols());
-#endif
-		Matrix result(getRows(), getCols());
-		arm_mat_sub_f32(&_matrix, &(right._matrix),
-				&(result._matrix));
-		return result;
-	}
-	inline Matrix operator*(const Matrix &right) const {
-#ifdef MATRIX_ASSERT
-		ASSERT(getCols() == right.getRows());
-#endif
-		Matrix result(getRows(), right.getCols());
-		arm_mat_mult_f32(&_matrix, &(right._matrix),
-				 &(result._matrix));
-		return result;
-	}
-	inline Matrix operator/(const Matrix &right) const {
-#ifdef MATRIX_ASSERT
-		ASSERT(right.getRows() == right.getCols());
-		ASSERT(getCols() == right.getCols());
-#endif
-		return (*this) * right.inverse();
-	}
-	// other functions
-	inline Matrix transpose() const {
-		Matrix result(getCols(), getRows());
-		arm_mat_trans_f32(&_matrix, &(result._matrix));
-		return result;
-	}
-	inline void swapRows(size_t a, size_t b) {
-		if (a == b) return;
-
-		for (size_t j = 0; j < getCols(); j++) {
-			float tmp = (*this)(a, j);
-			(*this)(a, j) = (*this)(b, j);
-			(*this)(b, j) = tmp;
-		}
-	}
-	inline void swapCols(size_t a, size_t b) {
-		if (a == b) return;
-
-		for (size_t i = 0; i < getRows(); i++) {
-			float tmp = (*this)(i, a);
-			(*this)(i, a) = (*this)(i, b);
-			(*this)(i, b) = tmp;
-		}
-	}
-	/**
-	 * inverse based on LU factorization with partial pivotting
-	 */
-	Matrix inverse() const {
-#ifdef MATRIX_ASSERT
-		ASSERT(getRows() == getCols());
-#endif
-		Matrix result(getRows(), getCols());
-		Matrix work = (*this);
-		arm_mat_inverse_f32(&(work._matrix),
-				    &(result._matrix));
-		return result;
-	}
-	inline void setAll(const float &val) {
-		for (size_t i = 0; i < getRows(); i++) {
-			for (size_t j = 0; j < getCols(); j++) {
-				(*this)(i, j) = val;
-			}
-		}
-	}
-	inline void set(const float *data) {
-		memcpy(getData(), data, getSize());
-	}
-	inline size_t getRows() const { return _matrix.numRows; }
-	inline size_t getCols() const { return _matrix.numCols; }
-	inline static Matrix identity(size_t size) {
-		Matrix result(size, size);
-
-		for (size_t i = 0; i < size; i++) {
-			result(i, i) = 1.0f;
-		}
-
-		return result;
-	}
-	inline static Matrix zero(size_t size) {
-		Matrix result(size, size);
-		result.setAll(0.0f);
-		return result;
-	}
-	inline static Matrix zero(size_t m, size_t n) {
-		Matrix result(m, n);
-		result.setAll(0.0f);
-		return result;
-	}
-protected:
-	inline size_t getSize() const { return sizeof(float) * getRows() * getCols(); }
-	inline float *getData() { return _matrix.pData; }
-	inline const float *getData() const { return _matrix.pData; }
-	inline void setData(float *data) { _matrix.pData = data; }
-private:
-	arm_matrix_instance_f32 _matrix;
-};
-
-} // namespace math
diff --git a/apps/mathlib/math/arm/Vector.cpp b/apps/mathlib/math/arm/Vector.cpp
deleted file mode 100644
index 7ea6496bb..000000000
--- a/apps/mathlib/math/arm/Vector.cpp
+++ /dev/null
@@ -1,40 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file Vector.cpp
- *
- * math vector
- */
-
-#include "Vector.hpp"
diff --git a/apps/mathlib/math/arm/Vector.hpp b/apps/mathlib/math/arm/Vector.hpp
deleted file mode 100644
index 58d51107d..000000000
--- a/apps/mathlib/math/arm/Vector.hpp
+++ /dev/null
@@ -1,220 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file Vector.h
- *
- * math vector
- */
-
-#pragma once
-
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-
-#include "../Vector.hpp"
-#include "../test/test.hpp"
-
-// arm specific
-#include "../../CMSIS/Include/arm_math.h"
-
-namespace math
-{
-
-class __EXPORT Vector
-{
-public:
-	// constructor
-	Vector(size_t rows) :
-		_rows(rows),
-		_data((float *)calloc(rows, sizeof(float))) {
-	}
-	Vector(size_t rows, const float *data) :
-		_rows(rows),
-		_data((float *)malloc(getSize())) {
-		memcpy(getData(), data, getSize());
-	}
-	// deconstructor
-	virtual ~Vector() {
-		delete [] getData();
-	}
-	// copy constructor (deep)
-	Vector(const Vector &right) :
-		_rows(right.getRows()),
-		_data((float *)malloc(getSize())) {
-		memcpy(getData(), right.getData(),
-		       right.getSize());
-	}
-	// assignment
-	inline Vector &operator=(const Vector &right) {
-#ifdef VECTOR_ASSERT
-		ASSERT(getRows() == right.getRows());
-#endif
-
-		if (this != &right) {
-			memcpy(getData(), right.getData(),
-			       right.getSize());
-		}
-
-		return *this;
-	}
-	// element accessors
-	inline float &operator()(size_t i) {
-#ifdef VECTOR_ASSERT
-		ASSERT(i < getRows());
-#endif
-		return getData()[i];
-	}
-	inline const float &operator()(size_t i) const {
-#ifdef VECTOR_ASSERT
-		ASSERT(i < getRows());
-#endif
-		return getData()[i];
-	}
-	// output
-	inline void print() const {
-		for (size_t i = 0; i < getRows(); i++) {
-			float sig;
-			int exp;
-			float num = (*this)(i);
-			float2SigExp(num, sig, exp);
-			printf("%6.3fe%03.3d,", (double)sig, exp);
-		}
-
-		printf("\n");
-	}
-	// boolean ops
-	inline bool operator==(const Vector &right) const {
-		for (size_t i = 0; i < getRows(); i++) {
-			if (fabsf(((*this)(i) - right(i))) > 1e-30f)
-				return false;
-		}
-
-		return true;
-	}
-	// scalar ops
-	inline Vector operator+(float right) const {
-		Vector result(getRows());
-		arm_offset_f32((float *)getData(),
-			       right, result.getData(),
-			       getRows());
-		return result;
-	}
-	inline Vector operator-(float right) const {
-		Vector result(getRows());
-		arm_offset_f32((float *)getData(),
-			       -right, result.getData(),
-			       getRows());
-		return result;
-	}
-	inline Vector operator*(float right) const {
-		Vector result(getRows());
-		arm_scale_f32((float *)getData(),
-			      right, result.getData(),
-			      getRows());
-		return result;
-	}
-	inline Vector operator/(float right) const {
-		Vector result(getRows());
-		arm_scale_f32((float *)getData(),
-			      1.0f / right, result.getData(),
-			      getRows());
-		return result;
-	}
-	// vector ops
-	inline Vector operator+(const Vector &right) const {
-#ifdef VECTOR_ASSERT
-		ASSERT(getRows() == right.getRows());
-#endif
-		Vector result(getRows());
-		arm_add_f32((float *)getData(),
-			    (float *)right.getData(),
-			    result.getData(),
-			    getRows());
-		return result;
-	}
-	inline Vector operator-(const Vector &right) const {
-#ifdef VECTOR_ASSERT
-		ASSERT(getRows() == right.getRows());
-#endif
-		Vector result(getRows());
-		arm_sub_f32((float *)getData(),
-			    (float *)right.getData(),
-			    result.getData(),
-			    getRows());
-		return result;
-	}
-	// other functions
-	inline float dot(const Vector &right) {
-		float result = 0;
-		arm_dot_prod_f32((float *)getData(),
-				 (float *)right.getData(),
-				 getRows(),
-				 &result);
-		return result;
-	}
-	inline float norm() {
-		return sqrtf(dot(*this));
-	}
-	inline Vector unit() {
-		return (*this) / norm();
-	}
-	inline static Vector zero(size_t rows) {
-		Vector result(rows);
-		// calloc returns zeroed memory
-		return result;
-	}
-	inline void setAll(const float &val) {
-		for (size_t i = 0; i < getRows(); i++) {
-			(*this)(i) = val;
-		}
-	}
-	inline void set(const float *data) {
-		memcpy(getData(), data, getSize());
-	}
-	inline size_t getRows() const { return _rows; }
-	inline const float *getData() const { return _data; }
-protected:
-	inline size_t getSize() const { return sizeof(float) * getRows(); }
-	inline float *getData() { return _data; }
-	inline void setData(float *data) { _data = data; }
-private:
-	size_t _rows;
-	float *_data;
-};
-
-} // math
diff --git a/apps/mathlib/math/generic/Matrix.cpp b/apps/mathlib/math/generic/Matrix.cpp
deleted file mode 100644
index 21661622a..000000000
--- a/apps/mathlib/math/generic/Matrix.cpp
+++ /dev/null
@@ -1,40 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file Matrix.cpp
- *
- * matrix code
- */
-
-#include "Matrix.hpp"
diff --git a/apps/mathlib/math/generic/Matrix.hpp b/apps/mathlib/math/generic/Matrix.hpp
deleted file mode 100644
index 5601a3447..000000000
--- a/apps/mathlib/math/generic/Matrix.hpp
+++ /dev/null
@@ -1,437 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file Matrix.h
- *
- * matrix code
- */
-
-#pragma once
-
-
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-
-#include "../Vector.hpp"
-#include "../Matrix.hpp"
-
-namespace math
-{
-
-class __EXPORT Matrix
-{
-public:
-	// constructor
-	Matrix(size_t rows, size_t cols) :
-		_rows(rows),
-		_cols(cols),
-		_data((float *)calloc(rows *cols, sizeof(float))) {
-	}
-	Matrix(size_t rows, size_t cols, const float *data) :
-		_rows(rows),
-		_cols(cols),
-		_data((float *)malloc(getSize())) {
-		memcpy(getData(), data, getSize());
-	}
-	// deconstructor
-	virtual ~Matrix() {
-		delete [] getData();
-	}
-	// copy constructor (deep)
-	Matrix(const Matrix &right) :
-		_rows(right.getRows()),
-		_cols(right.getCols()),
-		_data((float *)malloc(getSize())) {
-		memcpy(getData(), right.getData(),
-		       right.getSize());
-	}
-	// assignment
-	inline Matrix &operator=(const Matrix &right) {
-#ifdef MATRIX_ASSERT
-		ASSERT(getRows() == right.getRows());
-		ASSERT(getCols() == right.getCols());
-#endif
-
-		if (this != &right) {
-			memcpy(getData(), right.getData(),
-			       right.getSize());
-		}
-
-		return *this;
-	}
-	// element accessors
-	inline float &operator()(size_t i, size_t j) {
-#ifdef MATRIX_ASSERT
-		ASSERT(i < getRows());
-		ASSERT(j < getCols());
-#endif
-		return getData()[i * getCols() + j];
-	}
-	inline const float &operator()(size_t i, size_t j) const {
-#ifdef MATRIX_ASSERT
-		ASSERT(i < getRows());
-		ASSERT(j < getCols());
-#endif
-		return getData()[i * getCols() + j];
-	}
-	// output
-	inline void print() const {
-		for (size_t i = 0; i < getRows(); i++) {
-			for (size_t j = 0; j < getCols(); j++) {
-				float sig;
-				int exp;
-				float num = (*this)(i, j);
-				float2SigExp(num, sig, exp);
-				printf("%6.3fe%03.3d,", (double)sig, exp);
-			}
-
-			printf("\n");
-		}
-	}
-	// boolean ops
-	inline bool operator==(const Matrix &right) const {
-		for (size_t i = 0; i < getRows(); i++) {
-			for (size_t j = 0; j < getCols(); j++) {
-				if (fabsf((*this)(i, j) - right(i, j)) > 1e-30f)
-					return false;
-			}
-		}
-
-		return true;
-	}
-	// scalar ops
-	inline Matrix operator+(const float &right) const {
-		Matrix result(getRows(), getCols());
-
-		for (size_t i = 0; i < getRows(); i++) {
-			for (size_t j = 0; j < getCols(); j++) {
-				result(i, j) = (*this)(i, j) + right;
-			}
-		}
-
-		return result;
-	}
-	inline Matrix operator-(const float &right) const {
-		Matrix result(getRows(), getCols());
-
-		for (size_t i = 0; i < getRows(); i++) {
-			for (size_t j = 0; j < getCols(); j++) {
-				result(i, j) = (*this)(i, j) - right;
-			}
-		}
-
-		return result;
-	}
-	inline Matrix operator*(const float &right) const {
-		Matrix result(getRows(), getCols());
-
-		for (size_t i = 0; i < getRows(); i++) {
-			for (size_t j = 0; j < getCols(); j++) {
-				result(i, j) = (*this)(i, j) * right;
-			}
-		}
-
-		return result;
-	}
-	inline Matrix operator/(const float &right) const {
-		Matrix result(getRows(), getCols());
-
-		for (size_t i = 0; i < getRows(); i++) {
-			for (size_t j = 0; j < getCols(); j++) {
-				result(i, j) = (*this)(i, j) / right;
-			}
-		}
-
-		return result;
-	}
-	// vector ops
-	inline Vector operator*(const Vector &right) const {
-#ifdef MATRIX_ASSERT
-		ASSERT(getCols() == right.getRows());
-#endif
-		Vector result(getRows());
-
-		for (size_t i = 0; i < getRows(); i++) {
-			for (size_t j = 0; j < getCols(); j++) {
-				result(i) += (*this)(i, j) * right(j);
-			}
-		}
-
-		return result;
-	}
-	// matrix ops
-	inline Matrix operator+(const Matrix &right) const {
-#ifdef MATRIX_ASSERT
-		ASSERT(getRows() == right.getRows());
-		ASSERT(getCols() == right.getCols());
-#endif
-		Matrix result(getRows(), getCols());
-
-		for (size_t i = 0; i < getRows(); i++) {
-			for (size_t j = 0; j < getCols(); j++) {
-				result(i, j) = (*this)(i, j) + right(i, j);
-			}
-		}
-
-		return result;
-	}
-	inline Matrix operator-(const Matrix &right) const {
-#ifdef MATRIX_ASSERT
-		ASSERT(getRows() == right.getRows());
-		ASSERT(getCols() == right.getCols());
-#endif
-		Matrix result(getRows(), getCols());
-
-		for (size_t i = 0; i < getRows(); i++) {
-			for (size_t j = 0; j < getCols(); j++) {
-				result(i, j) = (*this)(i, j) - right(i, j);
-			}
-		}
-
-		return result;
-	}
-	inline Matrix operator*(const Matrix &right) const {
-#ifdef MATRIX_ASSERT
-		ASSERT(getCols() == right.getRows());
-#endif
-		Matrix result(getRows(), right.getCols());
-
-		for (size_t i = 0; i < getRows(); i++) {
-			for (size_t j = 0; j < right.getCols(); j++) {
-				for (size_t k = 0; k < right.getRows(); k++) {
-					result(i, j) += (*this)(i, k) * right(k, j);
-				}
-			}
-		}
-
-		return result;
-	}
-	inline Matrix operator/(const Matrix &right) const {
-#ifdef MATRIX_ASSERT
-		ASSERT(right.getRows() == right.getCols());
-		ASSERT(getCols() == right.getCols());
-#endif
-		return (*this) * right.inverse();
-	}
-	// other functions
-	inline Matrix transpose() const {
-		Matrix result(getCols(), getRows());
-
-		for (size_t i = 0; i < getRows(); i++) {
-			for (size_t j = 0; j < getCols(); j++) {
-				result(j, i) = (*this)(i, j);
-			}
-		}
-
-		return result;
-	}
-	inline void swapRows(size_t a, size_t b) {
-		if (a == b) return;
-
-		for (size_t j = 0; j < getCols(); j++) {
-			float tmp = (*this)(a, j);
-			(*this)(a, j) = (*this)(b, j);
-			(*this)(b, j) = tmp;
-		}
-	}
-	inline void swapCols(size_t a, size_t b) {
-		if (a == b) return;
-
-		for (size_t i = 0; i < getRows(); i++) {
-			float tmp = (*this)(i, a);
-			(*this)(i, a) = (*this)(i, b);
-			(*this)(i, b) = tmp;
-		}
-	}
-	/**
-	 * inverse based on LU factorization with partial pivotting
-	 */
-	Matrix inverse() const {
-#ifdef MATRIX_ASSERT
-		ASSERT(getRows() == getCols());
-#endif
-		size_t N = getRows();
-		Matrix L = identity(N);
-		const Matrix &A = (*this);
-		Matrix U = A;
-		Matrix P = identity(N);
-
-		//printf("A:\n"); A.print();
-
-		// for all diagonal elements
-		for (size_t n = 0; n < N; n++) {
-
-			// if diagonal is zero, swap with row below
-			if (fabsf(U(n, n)) < 1e-8f) {
-				//printf("trying pivot for row %d\n",n);
-				for (size_t i = 0; i < N; i++) {
-					if (i == n) continue;
-
-					//printf("\ttrying row %d\n",i);
-					if (fabsf(U(i, n)) > 1e-8f) {
-						//printf("swapped %d\n",i);
-						U.swapRows(i, n);
-						P.swapRows(i, n);
-					}
-				}
-			}
-
-#ifdef MATRIX_ASSERT
-			//printf("A:\n"); A.print();
-			//printf("U:\n"); U.print();
-			//printf("P:\n"); P.print();
-			//fflush(stdout);
-			ASSERT(fabsf(U(n, n)) > 1e-8f);
-#endif
-
-			// failsafe, return zero matrix
-			if (fabsf(U(n, n)) < 1e-8f) {
-				return Matrix::zero(n);
-			}
-
-			// for all rows below diagonal
-			for (size_t i = (n + 1); i < N; i++) {
-				L(i, n) = U(i, n) / U(n, n);
-
-				// add i-th row and n-th row
-				// multiplied by: -a(i,n)/a(n,n)
-				for (size_t k = n; k < N; k++) {
-					U(i, k) -= L(i, n) * U(n, k);
-				}
-			}
-		}
-
-		//printf("L:\n"); L.print();
-		//printf("U:\n"); U.print();
-
-		// solve LY=P*I for Y by forward subst
-		Matrix Y = P;
-
-		// for all columns of Y
-		for (size_t c = 0; c < N; c++) {
-			// for all rows of L
-			for (size_t i = 0; i < N; i++) {
-				// for all columns of L
-				for (size_t j = 0; j < i; j++) {
-					// for all existing y
-					// subtract the component they
-					// contribute to the solution
-					Y(i, c) -= L(i, j) * Y(j, c);
-				}
-
-				// divide by the factor
-				// on current
-				// term to be solved
-				// Y(i,c) /= L(i,i);
-				// but L(i,i) = 1.0
-			}
-		}
-
-		//printf("Y:\n"); Y.print();
-
-		// solve Ux=y for x by back subst
-		Matrix X = Y;
-
-		// for all columns of X
-		for (size_t c = 0; c < N; c++) {
-			// for all rows of U
-			for (size_t k = 0; k < N; k++) {
-				// have to go in reverse order
-				size_t i = N - 1 - k;
-
-				// for all columns of U
-				for (size_t j = i + 1; j < N; j++) {
-					// for all existing x
-					// subtract the component they
-					// contribute to the solution
-					X(i, c) -= U(i, j) * X(j, c);
-				}
-
-				// divide by the factor
-				// on current
-				// term to be solved
-				X(i, c) /= U(i, i);
-			}
-		}
-
-		//printf("X:\n"); X.print();
-		return X;
-	}
-	inline void setAll(const float &val) {
-		for (size_t i = 0; i < getRows(); i++) {
-			for (size_t j = 0; j < getCols(); j++) {
-				(*this)(i, j) = val;
-			}
-		}
-	}
-	inline void set(const float *data) {
-		memcpy(getData(), data, getSize());
-	}
-	inline size_t getRows() const { return _rows; }
-	inline size_t getCols() const { return _cols; }
-	inline static Matrix identity(size_t size) {
-		Matrix result(size, size);
-
-		for (size_t i = 0; i < size; i++) {
-			result(i, i) = 1.0f;
-		}
-
-		return result;
-	}
-	inline static Matrix zero(size_t size) {
-		Matrix result(size, size);
-		result.setAll(0.0f);
-		return result;
-	}
-	inline static Matrix zero(size_t m, size_t n) {
-		Matrix result(m, n);
-		result.setAll(0.0f);
-		return result;
-	}
-protected:
-	inline size_t getSize() const { return sizeof(float) * getRows() * getCols(); }
-	inline float *getData() { return _data; }
-	inline const float *getData() const { return _data; }
-	inline void setData(float *data) { _data = data; }
-private:
-	size_t _rows;
-	size_t _cols;
-	float *_data;
-};
-
-} // namespace math
diff --git a/apps/mathlib/math/generic/Vector.cpp b/apps/mathlib/math/generic/Vector.cpp
deleted file mode 100644
index 7ea6496bb..000000000
--- a/apps/mathlib/math/generic/Vector.cpp
+++ /dev/null
@@ -1,40 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file Vector.cpp
- *
- * math vector
- */
-
-#include "Vector.hpp"
diff --git a/apps/mathlib/math/generic/Vector.hpp b/apps/mathlib/math/generic/Vector.hpp
deleted file mode 100644
index 1a7363779..000000000
--- a/apps/mathlib/math/generic/Vector.hpp
+++ /dev/null
@@ -1,227 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file Vector.h
- *
- * math vector
- */
-
-#pragma once
-
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-
-#include "../Vector.hpp"
-
-namespace math
-{
-
-class __EXPORT Vector
-{
-public:
-	// constructor
-	Vector(size_t rows) :
-		_rows(rows),
-		_data((float *)calloc(rows, sizeof(float))) {
-	}
-	Vector(size_t rows, const float *data) :
-		_rows(rows),
-		_data((float *)malloc(getSize())) {
-		memcpy(getData(), data, getSize());
-	}
-	// deconstructor
-	virtual ~Vector() {
-		delete [] getData();
-	}
-	// copy constructor (deep)
-	Vector(const Vector &right) :
-		_rows(right.getRows()),
-		_data((float *)malloc(getSize())) {
-		memcpy(getData(), right.getData(),
-		       right.getSize());
-	}
-	// assignment
-	inline Vector &operator=(const Vector &right) {
-#ifdef VECTOR_ASSERT
-		ASSERT(getRows() == right.getRows());
-#endif
-
-		if (this != &right) {
-			memcpy(getData(), right.getData(),
-			       right.getSize());
-		}
-
-		return *this;
-	}
-	// element accessors
-	inline float &operator()(size_t i) {
-#ifdef VECTOR_ASSERT
-		ASSERT(i < getRows());
-#endif
-		return getData()[i];
-	}
-	inline const float &operator()(size_t i) const {
-#ifdef VECTOR_ASSERT
-		ASSERT(i < getRows());
-#endif
-		return getData()[i];
-	}
-	// output
-	inline void print() const {
-		for (size_t i = 0; i < getRows(); i++) {
-			float sig;
-			int exp;
-			float num = (*this)(i);
-			float2SigExp(num, sig, exp);
-			printf("%6.3fe%03.3d,", (double)sig, exp);
-		}
-
-		printf("\n");
-	}
-	// boolean ops
-	inline bool operator==(const Vector &right) const {
-		for (size_t i = 0; i < getRows(); i++) {
-			if (fabsf(((*this)(i) - right(i))) > 1e-30f)
-				return false;
-		}
-
-		return true;
-	}
-	// scalar ops
-	inline Vector operator+(const float &right) const {
-		Vector result(getRows());
-
-		for (size_t i = 0; i < getRows(); i++) {
-			result(i) = (*this)(i) + right;
-		}
-
-		return result;
-	}
-	inline Vector operator-(const float &right) const {
-		Vector result(getRows());
-
-		for (size_t i = 0; i < getRows(); i++) {
-			result(i) = (*this)(i) - right;
-		}
-
-		return result;
-	}
-	inline Vector operator*(const float &right) const {
-		Vector result(getRows());
-
-		for (size_t i = 0; i < getRows(); i++) {
-			result(i) = (*this)(i) * right;
-		}
-
-		return result;
-	}
-	inline Vector operator/(const float &right) const {
-		Vector result(getRows());
-
-		for (size_t i = 0; i < getRows(); i++) {
-			result(i) = (*this)(i) / right;
-		}
-
-		return result;
-	}
-	// vector ops
-	inline Vector operator+(const Vector &right) const {
-#ifdef VECTOR_ASSERT
-		ASSERT(getRows() == right.getRows());
-#endif
-		Vector result(getRows());
-
-		for (size_t i = 0; i < getRows(); i++) {
-			result(i) = (*this)(i) + right(i);
-		}
-
-		return result;
-	}
-	inline Vector operator-(const Vector &right) const {
-#ifdef VECTOR_ASSERT
-		ASSERT(getRows() == right.getRows());
-#endif
-		Vector result(getRows());
-
-		for (size_t i = 0; i < getRows(); i++) {
-			result(i) = (*this)(i) - right(i);
-		}
-
-		return result;
-	}
-	// other functions
-	inline float dot(const Vector &right) {
-		float result = 0;
-
-		for (size_t i = 0; i < getRows(); i++) {
-			result += (*this)(i) * (*this)(i);
-		}
-
-		return result;
-	}
-	inline float norm() {
-		return sqrtf(dot(*this));
-	}
-	inline Vector unit() {
-		return (*this) / norm();
-	}
-	inline static Vector zero(size_t rows) {
-		Vector result(rows);
-		// calloc returns zeroed memory
-		return result;
-	}
-	inline void setAll(const float &val) {
-		for (size_t i = 0; i < getRows(); i++) {
-			(*this)(i) = val;
-		}
-	}
-	inline void set(const float *data) {
-		memcpy(getData(), data, getSize());
-	}
-	inline size_t getRows() const { return _rows; }
-protected:
-	inline size_t getSize() const { return sizeof(float) * getRows(); }
-	inline float *getData() { return _data; }
-	inline const float *getData() const { return _data; }
-	inline void setData(float *data) { _data = data; }
-private:
-	size_t _rows;
-	float *_data;
-};
-
-} // math
diff --git a/apps/mathlib/math/nasa_rotation_def.pdf b/apps/mathlib/math/nasa_rotation_def.pdf
deleted file mode 100644
index eb67a4bfc..000000000
Binary files a/apps/mathlib/math/nasa_rotation_def.pdf and /dev/null differ
diff --git a/apps/mathlib/math/test/test.cpp b/apps/mathlib/math/test/test.cpp
deleted file mode 100644
index f5db76d70..000000000
--- a/apps/mathlib/math/test/test.cpp
+++ /dev/null
@@ -1,93 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file test.cpp
- *
- * Test library code
- */
-
-#include 
-#include 
-
-#include "test.hpp"
-
-bool __EXPORT equal(float a, float b, float epsilon)
-{
-	float diff = fabsf(a - b);
-
-	if (diff > epsilon) {
-		printf("not equal ->\n\ta: %12.8f\n\tb: %12.8f\n", double(a), double(b));
-		return false;
-
-	} else return true;
-}
-
-void __EXPORT float2SigExp(
-	const float &num,
-	float &sig,
-	int &exp)
-{
-	if (isnan(num) || isinf(num)) {
-		sig = 0.0f;
-		exp = -99;
-		return;
-	}
-
-	if (fabsf(num) < 1.0e-38f) {
-		sig = 0;
-		exp = 0;
-		return;
-	}
-
-	exp = log10f(fabsf(num));
-
-	if (exp > 0) {
-		exp = ceil(exp);
-
-	} else {
-		exp = floor(exp);
-	}
-
-	sig = num;
-
-	// cheap power since it is integer
-	if (exp > 0) {
-		for (int i = 0; i < abs(exp); i++) sig /= 10;
-
-	} else {
-		for (int i = 0; i < abs(exp); i++) sig *= 10;
-	}
-}
-
-
diff --git a/apps/mathlib/math/test/test.hpp b/apps/mathlib/math/test/test.hpp
deleted file mode 100644
index 841c42144..000000000
--- a/apps/mathlib/math/test/test.hpp
+++ /dev/null
@@ -1,50 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file test.hpp
- *
- * Controller library code
- */
-
-#pragma once
-
-#include 
-#include 
-#include 
-
-bool equal(float a, float b, float eps = 1e-5);
-void float2SigExp(
-	const float &num,
-	float &sig,
-	int &exp);
diff --git a/apps/mathlib/math/test_math.sce b/apps/mathlib/math/test_math.sce
deleted file mode 100644
index c3fba4729..000000000
--- a/apps/mathlib/math/test_math.sce
+++ /dev/null
@@ -1,63 +0,0 @@
-clc
-clear
-function out = float_truncate(in, digits)
-    out = round(in*10^digits)
-    out = out/10^digits
-endfunction
-
-phi = 0.1
-theta = 0.2
-psi = 0.3
-
-cosPhi = cos(phi)
-cosPhi_2 = cos(phi/2)
-sinPhi = sin(phi)
-sinPhi_2 = sin(phi/2)
-
-cosTheta = cos(theta)
-cosTheta_2 = cos(theta/2)
-sinTheta = sin(theta)
-sinTheta_2 = sin(theta/2)
-
-cosPsi = cos(psi)
-cosPsi_2 = cos(psi/2)
-sinPsi = sin(psi)
-sinPsi_2 = sin(psi/2)
-
-C_nb = [cosTheta*cosPsi, -cosPhi*sinPsi + sinPhi*sinTheta*cosPsi, sinPhi*sinPsi + cosPhi*sinTheta*cosPsi;
-        cosTheta*sinPsi, cosPhi*cosPsi + sinPhi*sinTheta*sinPsi, -sinPhi*cosPsi + cosPhi*sinTheta*sinPsi;
-        -sinTheta, sinPhi*cosTheta, cosPhi*cosTheta]
-    
-disp(C_nb)
-//C_nb = float_truncate(C_nb,3)
-//disp(C_nb)
-
-theta = asin(-C_nb(3,1))
-phi = atan(C_nb(3,2), C_nb(3,3))
-psi = atan(C_nb(2,1), C_nb(1,1))
-printf('phi %f\n', phi)
-printf('theta %f\n', theta)
-printf('psi %f\n', psi)
-
-q = [cosPhi_2*cosTheta_2*cosPsi_2 + sinPhi_2*sinTheta_2*sinPsi_2;
-     sinPhi_2*cosTheta_2*cosPsi_2 - cosPhi_2*sinTheta_2*sinPsi_2;
-     cosPhi_2*sinTheta_2*cosPsi_2 + sinPhi_2*cosTheta_2*sinPsi_2;
-     cosPhi_2*cosTheta_2*sinPsi_2 - sinPhi_2*sinTheta_2*cosPsi_2]
-     
-//q = float_truncate(q,3)
-
-a = q(1)
-b = q(2)
-c = q(3)
-d = q(4)
-printf('q: %f %f %f %f\n', a, b, c, d)
-a2 = a*a
-b2 = b*b
-c2 = c*c
-d2 = d*d
-
-C2_nb = [a2 + b2 - c2 - d2, 2*(b*c - a*d), 2*(b*d + a*c);
-         2*(b*c + a*d), a2 - b2 + c2 - d2, 2*(c*d - a*b);
-         2*(b*d - a*c), 2*(c*d + a*b), a2 - b2 - c2 + d2]
-
-disp(C2_nb)
diff --git a/apps/mathlib/mathlib.h b/apps/mathlib/mathlib.h
deleted file mode 100644
index b919d53db..000000000
--- a/apps/mathlib/mathlib.h
+++ /dev/null
@@ -1,55 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file mathlib.h
- *
- * Common header for mathlib exports.
- */
-
-#ifdef __cplusplus
-
-#include "math/Dcm.hpp"
-#include "math/EulerAngles.hpp"
-#include "math/Matrix.hpp"
-#include "math/Quaternion.hpp"
-#include "math/Vector.hpp"
-#include "math/Vector3.hpp"
-
-#endif
-
-#ifdef CONFIG_ARCH_ARM
-
-#include "CMSIS/Include/arm_math.h"
-
-#endif
\ No newline at end of file
diff --git a/apps/systemlib/Makefile b/apps/systemlib/Makefile
deleted file mode 100644
index b2e233a92..000000000
--- a/apps/systemlib/Makefile
+++ /dev/null
@@ -1,52 +0,0 @@
-############################################################################
-#
-#   Copyright (C) 2012 PX4 Development Team. All rights reserved.
-#
-# Redistribution and use in source and binary forms, with or without
-# modification, are permitted provided that the following conditions
-# are met:
-#
-# 1. Redistributions of source code must retain the above copyright
-#    notice, this list of conditions and the following disclaimer.
-# 2. Redistributions in binary form must reproduce the above copyright
-#    notice, this list of conditions and the following disclaimer in
-#    the documentation and/or other materials provided with the
-#    distribution.
-# 3. Neither the name PX4 nor the names of its contributors may be
-#    used to endorse or promote products derived from this software
-#    without specific prior written permission.
-#
-# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-# "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-# LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-# FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
-# COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-# INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-# BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
-# OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
-# AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-# LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-# ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-# POSSIBILITY OF SUCH DAMAGE.
-#
-############################################################################
-
-#
-# System utility library
-#
-
-CSRCS		 = err.c \
-		   hx_stream.c \
-		   perf_counter.c \
-		   param/param.c \
-		   bson/tinybson.c \
-		   conversions.c \
-		   cpuload.c \
-		   getopt_long.c \
-		   up_cxxinitialize.c \
-		   pid/pid.c \
-		   geo/geo.c \
-		   systemlib.c \
-		   airspeed.c
-
-include $(APPDIR)/mk/app.mk
diff --git a/apps/systemlib/airspeed.c b/apps/systemlib/airspeed.c
deleted file mode 100644
index 264287b10..000000000
--- a/apps/systemlib/airspeed.c
+++ /dev/null
@@ -1,111 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012-2013 PX4 Development Team. All rights reserved.
- *   Author: Lorenz Meier 
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file airspeed.c
- * Airspeed estimation
- *
- * @author Lorenz Meier 
- *
- */
-
-#include 
-#include 
-#include "conversions.h"
-#include "airspeed.h"
-
-
-/**
- * Calculate indicated airspeed.
- *
- * Note that the indicated airspeed is not the true airspeed because it
- * lacks the air density compensation. Use the calc_true_airspeed functions to get
- * the true airspeed.
- *
- * @param differential_pressure total_ pressure - static pressure
- * @return indicated airspeed in m/s
- */
-float calc_indicated_airspeed(float differential_pressure)
-{
-
-	if (differential_pressure > 0) {
-		return sqrtf((2.0f*differential_pressure) / CONSTANTS_AIR_DENSITY_SEA_LEVEL_15C);
-	} else {
-		return -sqrtf((2.0f*fabs(differential_pressure)) / CONSTANTS_AIR_DENSITY_SEA_LEVEL_15C);
-	}
-
-}
- 
-/**
- * Calculate true airspeed from indicated airspeed.
- *
- * Note that the true airspeed is NOT the groundspeed, because of the effects of wind
- *
- * @param speed_indicated current indicated airspeed
- * @param pressure_ambient pressure at the side of the tube/airplane
- * @param temperature_celsius air temperature in degrees celcius
- * @return true airspeed in m/s
- */
-float calc_true_airspeed_from_indicated(float speed_indicated, float pressure_ambient, float temperature_celsius)
-{
-	return speed_indicated * sqrtf(CONSTANTS_AIR_DENSITY_SEA_LEVEL_15C / get_air_density(pressure_ambient, temperature_celsius));
-}
- 
-/**
- * Directly calculate true airspeed
- *
- * Note that the true airspeed is NOT the groundspeed, because of the effects of wind
- *
- * @param total_pressure pressure inside the pitot/prandtl tube
- * @param static_pressure pressure at the side of the tube/airplane
- * @param temperature_celsius air temperature in degrees celcius
- * @return true airspeed in m/s
- */
-float calc_true_airspeed(float total_pressure, float static_pressure, float temperature_celsius)
-{
-	float density = get_air_density(static_pressure, temperature_celsius);
-	if (density < 0.0001f || !isfinite(density)) {
-	 density = CONSTANTS_AIR_DENSITY_SEA_LEVEL_15C;
-	 printf("[airspeed] Invalid air density, using density at sea level\n");
-	}
-
-	float pressure_difference = total_pressure - static_pressure;
-
-	if(pressure_difference > 0) {
-		return sqrtf((2.0f*(pressure_difference)) / density);
-	} else
-	{
-		return -sqrtf((2.0f*fabs(pressure_difference)) / density);
-	}
-}
diff --git a/apps/systemlib/airspeed.h b/apps/systemlib/airspeed.h
deleted file mode 100644
index def53f0c1..000000000
--- a/apps/systemlib/airspeed.h
+++ /dev/null
@@ -1,90 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012-2013 PX4 Development Team. All rights reserved.
- *   Author: Lorenz Meier 
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file airspeed.h
- * Airspeed estimation declarations
- *
- * @author Lorenz Meier 
- *
- */
-
-#ifndef AIRSPEED_H_
-#define AIRSPEED_H_
-
-#include "math.h"
-#include "conversions.h"
-
- __BEGIN_DECLS
- 
- /**
-  * Calculate indicated airspeed.
-  *
-  * Note that the indicated airspeed is not the true airspeed because it
-  * lacks the air density compensation. Use the calc_true_airspeed functions to get
-  * the true airspeed.
-  *
-  * @param total_pressure pressure inside the pitot/prandtl tube
-  * @param static_pressure pressure at the side of the tube/airplane
-  * @return indicated airspeed in m/s
-  */
- __EXPORT float calc_indicated_airspeed(float differential_pressure);
- 
- /**
-  * Calculate true airspeed from indicated airspeed.
-  *
-  * Note that the true airspeed is NOT the groundspeed, because of the effects of wind
-  *
-  * @param speed_indicated current indicated airspeed
-  * @param pressure_ambient pressure at the side of the tube/airplane
-  * @param temperature_celsius air temperature in degrees celcius
-  * @return true airspeed in m/s
-  */
- __EXPORT float calc_true_airspeed_from_indicated(float speed_indicated, float pressure_ambient, float temperature_celsius);
- 
- /**
-  * Directly calculate true airspeed
-  *
-  * Note that the true airspeed is NOT the groundspeed, because of the effects of wind
-  *
-  * @param total_pressure pressure inside the pitot/prandtl tube
-  * @param static_pressure pressure at the side of the tube/airplane
-  * @param temperature_celsius air temperature in degrees celcius
-  * @return true airspeed in m/s
-  */
- __EXPORT float calc_true_airspeed(float total_pressure, float static_pressure, float temperature_celsius);
-
-__END_DECLS
-
-#endif
diff --git a/apps/systemlib/bson/tinybson.c b/apps/systemlib/bson/tinybson.c
deleted file mode 100644
index 321466f87..000000000
--- a/apps/systemlib/bson/tinybson.c
+++ /dev/null
@@ -1,517 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file tinybson.c
- *
- * A simple subset SAX-style BSON parser and generator.
- */
-
-#include 
-#include 
-#include 
-#include 
-
-#include "tinybson.h"
-
-#if 0
-# define debug(fmt, args...)		do { warnx("BSON: " fmt, ##args); } while(0)
-#else
-# define debug(fmt, args...)		do { } while(0)
-#endif
-
-#define CODER_CHECK(_c)		do { if (_c->dead) { debug("coder dead"); return -1; }} while(0)
-#define CODER_KILL(_c, _reason)	do { debug("killed: %s", _reason); _c->dead = true; return -1; } while(0)
-
-static int
-read_x(bson_decoder_t decoder, void *p, size_t s)
-{
-	CODER_CHECK(decoder);
-
-	if (decoder->fd > -1)
-		return (read(decoder->fd, p, s) == (int)s) ? 0 : -1;
-
-	if (decoder->buf != NULL) {
-		/* staged operations to avoid integer overflow for corrupt data */
-		if (s >= decoder->bufsize)
-			CODER_KILL(decoder, "buffer too small for read");
-		if ((decoder->bufsize - s) < decoder->bufpos)
-			CODER_KILL(decoder, "not enough data for read");
-		memcpy(p, (decoder->buf + decoder->bufpos), s);
-		decoder->bufpos += s;
-		return 0;
-	}
-	debug("no source");
-	return -1;
-}
-
-static int
-read_int8(bson_decoder_t decoder, int8_t *b)
-{
-	return read_x(decoder, b, sizeof(*b));
-}
-
-static int
-read_int32(bson_decoder_t decoder, int32_t *i)
-{
-	return read_x(decoder, i, sizeof(*i));
-}
-
-static int
-read_int64(bson_decoder_t decoder, int64_t *i)
-{
-	return read_x(decoder, i, sizeof(*i));
-}
-
-static int
-read_double(bson_decoder_t decoder, double *d)
-{
-	return read_x(decoder, d, sizeof(*d));
-}
-
-int
-bson_decoder_init_file(bson_decoder_t decoder, int fd, bson_decoder_callback callback, void *private)
-{
-	int32_t	junk;
-
-	decoder->fd = fd;
-	decoder->buf = NULL;
-	decoder->dead = false;
-	decoder->callback = callback;
-	decoder->private = private;
-	decoder->nesting = 1;
-	decoder->pending = 0;
-	decoder->node.type = BSON_UNDEFINED;
-
-	/* read and discard document size */
-	if (read_int32(decoder, &junk))
-		CODER_KILL(decoder, "failed discarding length");
-
-	/* ready for decoding */
-	return 0;
-}
-
-int
-bson_decoder_init_buf(bson_decoder_t decoder, void *buf, unsigned bufsize, bson_decoder_callback callback, void *private)
-{
-	int32_t	len;
-
-	/* argument sanity */
-	if ((buf == NULL) || (callback == NULL))
-		return -1;
-
-	decoder->fd = -1;
-	decoder->buf = (uint8_t *)buf;
-	decoder->dead = false;
-	if (bufsize == 0) {
-		decoder->bufsize = *(uint32_t *)buf;
-		debug("auto-detected %u byte object", decoder->bufsize);
-	} else {
-		decoder->bufsize = bufsize;
-	}
-	decoder->bufpos = 0;
-	decoder->callback = callback;
-	decoder->private = private;
-	decoder->nesting = 1;
-	decoder->pending = 0;
-	decoder->node.type = BSON_UNDEFINED;
-
-	/* read and discard document size */
-	if (read_int32(decoder, &len))
-		CODER_KILL(decoder, "failed reading length");
-	if ((len > 0) && (len > (int)decoder->bufsize))
-		CODER_KILL(decoder, "document length larger than buffer");
-
-	/* ready for decoding */
-	return 0;
-}
-
-int
-bson_decoder_next(bson_decoder_t decoder)
-{
-	int8_t	tbyte;
-	int32_t tint;
-	unsigned nlen;
-
-	CODER_CHECK(decoder);
-
-	/* if the previous node was EOO, pop a nesting level */
-	if (decoder->node.type == BSON_EOO) {
-		if (decoder->nesting > 0)
-			decoder->nesting--;
-
-		/* if the nesting level is now zero, the top-level document is done */
-		if (decoder->nesting == 0) {
-			/* like kill but not an error */
-			debug("nesting is zero, document is done");
-			decoder->fd = -1;
-
-			/* return end-of-file to the caller */
-			return 0;
-		}
-	}
-
-	/* if there are unread bytes pending in the stream, discard them */
-	while (decoder->pending > 0) {
-		if (read_int8(decoder, &tbyte))
-			CODER_KILL(decoder, "read error discarding pending bytes");
-
-		decoder->pending--;
-	}
-
-	/* get the type byte */
-	if (read_int8(decoder, &tbyte))
-		CODER_KILL(decoder, "read error on type byte");
-
-	decoder->node.type = tbyte;
-	decoder->pending = 0;
-
-	debug("got type byte 0x%02x", decoder->node.type);
-
-	/* EOO is special; it has no name/data following */
-	if (decoder->node.type == BSON_EOO) {
-		decoder->node.name[0] = '\0';
-	} else {
-
-		/* get the node name */
-		nlen = 0;
-
-		for (;;) {
-			if (nlen >= BSON_MAXNAME)
-				CODER_KILL(decoder, "node name overflow");
-
-			if (read_int8(decoder, (int8_t *)&decoder->node.name[nlen]))
-				CODER_KILL(decoder, "read error on node name");
-
-			if (decoder->node.name[nlen] == '\0')
-				break;
-
-			nlen++;
-		}
-
-		debug("got name '%s'", decoder->node.name);
-
-		switch (decoder->node.type) {
-		case BSON_BOOL:
-			if (read_int8(decoder, &tbyte))
-				CODER_KILL(decoder, "read error on BSON_BOOL");
-			decoder->node.b = (tbyte != 0);
-			break;
-
-		case BSON_INT32:
-			if (read_int32(decoder, &tint))
-				CODER_KILL(decoder, "read error on BSON_INT");
-			decoder->node.i = tint;
-			break;
-
-		case BSON_INT64:
-			if (read_int64(decoder, &decoder->node.i))
-				CODER_KILL(decoder, "read error on BSON_INT");
-
-			break;
-
-		case BSON_DOUBLE:
-			if (read_double(decoder, &decoder->node.d))
-				CODER_KILL(decoder, "read error on BSON_DOUBLE");
-
-			break;
-
-		case BSON_STRING:
-			if (read_int32(decoder, &decoder->pending))
-				CODER_KILL(decoder, "read error on BSON_STRING length");
-			break;
-
-		case BSON_BINDATA:
-			if (read_int32(decoder, &decoder->pending))
-				CODER_KILL(decoder, "read error on BSON_BINDATA size");
-
-			if (read_int8(decoder, &tbyte))
-				CODER_KILL(decoder, "read error on BSON_BINDATA subtype");
-
-			decoder->node.subtype = tbyte;
-			break;
-
-			/* XXX currently not supporting other types */
-		default:
-			CODER_KILL(decoder, "unsupported node type");
-		}
-	}
-
-	/* call the callback and pass its results back */
-	return decoder->callback(decoder, decoder->private, &decoder->node);
-}
-
-int
-bson_decoder_copy_data(bson_decoder_t decoder, void *buf)
-{
-	int result;
-
-	CODER_CHECK(decoder);
-
-	/* copy data */
-	result = read_x(decoder, buf, decoder->pending);
-
-	if (result != 0)
-		CODER_KILL(decoder, "read error on copy_data");
-
-	/* pending count is discharged */
-	decoder->pending = 0;
-	return 0;
-}
-
-size_t
-bson_decoder_data_pending(bson_decoder_t decoder)
-{
-	return decoder->pending;
-}
-
-static int
-write_x(bson_encoder_t encoder, const void *p, size_t s)
-{
-	CODER_CHECK(encoder);
-
-	if (encoder->fd > -1)
-		return (write(encoder->fd, p, s) == (int)s) ? 0 : -1;
-
-	/* do we need to extend the buffer? */
-	while ((encoder->bufpos + s) > encoder->bufsize) {
-		if (!encoder->realloc_ok)
-			CODER_KILL(encoder, "fixed-size buffer overflow");
-
-		uint8_t *newbuf = realloc(encoder->buf, encoder->bufsize + BSON_BUF_INCREMENT);
-		if (newbuf == NULL)
-			CODER_KILL(encoder, "could not grow buffer");
-
-		encoder->buf = newbuf;
-		encoder->bufsize += BSON_BUF_INCREMENT;
-		debug("allocated %d bytes", BSON_BUF_INCREMENT);
-	}
-
-	memcpy(encoder->buf + encoder->bufpos, p, s);
-	encoder->bufpos += s;
-	debug("appended %d bytes", s);
-
-	return 0;
-}
-
-static int
-write_int8(bson_encoder_t encoder, int8_t b)
-{
-	return write_x(encoder, &b, sizeof(b));
-}
-
-static int
-write_int32(bson_encoder_t encoder, int32_t i)
-{
-	return write_x(encoder, &i, sizeof(i));
-}
-
-static int
-write_int64(bson_encoder_t encoder, int64_t i)
-{
-	return write_x(encoder, &i, sizeof(i));
-}
-
-static int
-write_double(bson_encoder_t encoder, double d)
-{
-	return write_x(encoder, &d, sizeof(d));
-}
-
-static int
-write_name(bson_encoder_t encoder, const char *name)
-{
-	size_t len = strlen(name);
-
-	if (len > BSON_MAXNAME)
-		CODER_KILL(encoder, "node name too long");
-
-	return write_x(encoder, name, len + 1);
-}
-
-int
-bson_encoder_init_file(bson_encoder_t encoder, int fd)
-{
-	encoder->fd = fd;
-	encoder->buf = NULL;
-	encoder->dead = false;
-
-	if (write_int32(encoder, 0))
-		CODER_KILL(encoder, "write error on document length");
-
-	return 0;
-}
-
-int
-bson_encoder_init_buf(bson_encoder_t encoder, void *buf, unsigned bufsize)
-{
-	encoder->fd = -1;
-	encoder->buf = (uint8_t *)buf;
-	encoder->bufpos = 0;
-	encoder->dead = false;
-	if (encoder->buf == NULL) {
-		encoder->bufsize = 0;
-		encoder->realloc_ok = true;
-	} else {
-		encoder->bufsize = bufsize;
-		encoder->realloc_ok = false;
-	}
-
-	if (write_int32(encoder, 0))
-		CODER_KILL(encoder, "write error on document length");
-
-	return 0;		
-}
-
-int
-bson_encoder_fini(bson_encoder_t encoder)
-{
-	CODER_CHECK(encoder);
-
-	if (write_int8(encoder, BSON_EOO))
-		CODER_KILL(encoder, "write error on document terminator");
-
-	/* hack to fix up length for in-buffer documents */
-	if (encoder->buf != NULL) {
-		int32_t len = bson_encoder_buf_size(encoder);
-		memcpy(encoder->buf, &len, sizeof(len));
-	}
-
-	return 0;
-}
-
-int
-bson_encoder_buf_size(bson_encoder_t encoder)
-{
-	CODER_CHECK(encoder);
-
-	if (encoder->fd > -1)
-		return -1;
-
-	return encoder->bufpos;
-}
-
-void *
-bson_encoder_buf_data(bson_encoder_t encoder)
-{
-	/* note, no CODER_CHECK here as the caller has to clean up dead buffers */
-
-	if (encoder->fd > -1)
-		return NULL;
-
-	return encoder->buf;
-}
-
-int bson_encoder_append_bool(bson_encoder_t encoder, const char *name, bool value)
-{
-	CODER_CHECK(encoder);
-
-	if (write_int8(encoder, BSON_BOOL) ||
-	    write_name(encoder, name) ||
-	    write_int8(encoder, value ? 1 : 0))
-		CODER_KILL(encoder, "write error on BSON_BOOL");
-
-	return 0;
-}
-
-int
-bson_encoder_append_int(bson_encoder_t encoder, const char *name, int64_t value)
-{
-	bool result;
-
-	CODER_CHECK(encoder);
-
-	/* use the smallest encoding that will hold the value */
-	if (value == (int32_t)value) {
-		debug("encoding %lld as int32", value);
-		result = write_int8(encoder, BSON_INT32) ||
-			 write_name(encoder, name) ||
-			 write_int32(encoder, value);
-	} else {
-		debug("encoding %lld as int64", value);
-		result = write_int8(encoder, BSON_INT64) ||
-			 write_name(encoder, name) ||
-			 write_int64(encoder, value);
-	}
-	if (result)
-		CODER_KILL(encoder, "write error on BSON_INT");
-
-	return 0;
-}
-
-int
-bson_encoder_append_double(bson_encoder_t encoder, const char *name, double value)
-{
-	CODER_CHECK(encoder);
-
-	if (write_int8(encoder, BSON_DOUBLE) ||
-	    write_name(encoder, name) ||
-	    write_double(encoder, value))
-		CODER_KILL(encoder, "write error on BSON_DOUBLE");
-
-
-	return 0;
-}
-
-int
-bson_encoder_append_string(bson_encoder_t encoder, const char *name, const char *string)
-{
-	size_t len;
-
-	CODER_CHECK(encoder);
-
-	len = strlen(string) + 1;	/* include trailing nul */
-
-	if (write_int8(encoder, BSON_STRING) ||
-	    write_name(encoder, name) ||
-	    write_int32(encoder, len) ||
-	    write_x(encoder, string, len))
-		CODER_KILL(encoder, "write error on BSON_STRING");
-
-	return 0;
-}
-
-int
-bson_encoder_append_binary(bson_encoder_t encoder, const char *name, bson_binary_subtype_t subtype, size_t size, const void *data)
-{
-	CODER_CHECK(encoder);
-
-	if (write_int8(encoder, BSON_BINDATA) ||
-	    write_name(encoder, name) ||
-	    write_int32(encoder, size) ||
-	    write_int8(encoder, subtype) ||
-	    write_x(encoder, data, size))
-		CODER_KILL(encoder, "write error on BSON_BINDATA");
-
-	return 0;
-}
diff --git a/apps/systemlib/bson/tinybson.h b/apps/systemlib/bson/tinybson.h
deleted file mode 100644
index 666f8191a..000000000
--- a/apps/systemlib/bson/tinybson.h
+++ /dev/null
@@ -1,275 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
-* @file tinybson.h
-*
-* A simple subset SAX-style BSON parser and generator. See http://bsonspec.org
-*
-* Some types and defines taken from the standalone BSON parser/generator
-* in the Mongo C connector.
-*/
-
-#ifndef _TINYBSON_H
-#define _TINYBSON_H
-
-#include 
-#include 
-#include 
-
-/** subset of the BSON node types we might care about */
-typedef enum {
-	BSON_EOO = 0,
-	BSON_DOUBLE = 1,
-	BSON_STRING = 2,
-	BSON_OBJECT = 3,
-	BSON_ARRAY = 4,
-	BSON_BINDATA = 5,
-	BSON_UNDEFINED = 6,
-	BSON_BOOL = 8,
-	BSON_DATE = 9,
-	BSON_NULL = 10,
-	BSON_INT32 = 16,
-	BSON_INT64 = 18
-} bson_type_t;
-
-typedef enum bson_binary_subtype {
-	BSON_BIN_BINARY = 0,
-	BSON_BIN_USER = 128
-} bson_binary_subtype_t;
-
-/**
- * Maximum node name length.
- */
-#define BSON_MAXNAME		32
-
-/**
- * Buffer growth increment when writing to a buffer.
- */
-#define BSON_BUF_INCREMENT	128
-
-/**
- * Node structure passed to the callback.
- */
-typedef struct bson_node_s {
-	char			name[BSON_MAXNAME];
-	bson_type_t		type;
-	bson_binary_subtype_t	subtype;
-	union {
-		int64_t		i;
-		double		d;
-		bool		b;
-	};
-} *bson_node_t;
-
-typedef struct bson_decoder_s *bson_decoder_t;
-
-/**
- * Node callback.
- *
- * The node callback function's return value is returned by bson_decoder_next.
- */
-typedef int	(* bson_decoder_callback)(bson_decoder_t decoder, void *private, bson_node_t node);
-
-struct bson_decoder_s {
-	/* file reader state */
-	int			fd;
-
-	/* buffer reader state */
-	uint8_t			*buf;
-	size_t			bufsize;
-	unsigned		bufpos;
-
-	bool			dead;
-	bson_decoder_callback	callback;
-	void			*private;
-	unsigned		nesting;
-	struct bson_node_s	node;
-	int32_t			pending;
-};
-
-/**
- * Initialise the decoder to read from a file.
- *
- * @param decoder		Decoder state structure to be initialised.
- * @param fd			File to read BSON data from.
- * @param callback		Callback to be invoked by bson_decoder_next
- * @param private		Callback private data, stored in node.
- * @return			Zero on success.
- */
-__EXPORT int bson_decoder_init_file(bson_decoder_t decoder, int fd, bson_decoder_callback callback, void *private);
-
-/**
- * Initialise the decoder to read from a buffer in memory.
- *
- * @param decoder		Decoder state structure to be initialised.
- * @param buf			Buffer to read from.
- * @param bufsize		Size of the buffer (BSON object may be smaller).  May be
- *				passed as zero if the buffer size should be extracted from the
- *				BSON header only.
- * @param callback		Callback to be invoked by bson_decoder_next
- * @param private		Callback private data, stored in node.
- * @return			Zero on success.
- */
-__EXPORT int bson_decoder_init_buf(bson_decoder_t decoder, void *buf, unsigned bufsize, bson_decoder_callback callback, void *private);
-
-/**
- * Process the next node from the stream and invoke the callback.
- *
- * @param decoder		Decoder state, must have been initialised with bson_decoder_init.
- * @return			-1 if parsing encountered an error, 0 if the BSON stream has ended,
- *				otherwise the return value from the callback.
- */
-__EXPORT int bson_decoder_next(bson_decoder_t decoder);
-
-/**
- * Copy node data.
- *
- * @param decoder		Decoder state, must have been initialised with bson_decoder_init.
- */
-__EXPORT int bson_decoder_copy_data(bson_decoder_t decoder, void *buf);
-
-/**
- * Report copyable data size.
- *
- * @param decoder		Decoder state, must have been initialised with bson_decoder_init.
- */
-__EXPORT size_t bson_decoder_data_pending(bson_decoder_t decoder);
-
-/**
- * Encoder state structure.
- */
-typedef struct bson_encoder_s {
-	/* file writer state */
-	int		fd;
-
-	/* buffer writer state */
-	uint8_t		*buf;
-	unsigned	bufsize;
-	unsigned	bufpos;
-
-	bool		realloc_ok;
-	bool		dead;
-
-} *bson_encoder_t;
-
-/**
- * Initialze the encoder for writing to a file.
- *
- * @param encoder		Encoder state structure to be initialised.
- * @param fd			File to write to.
- * @return			Zero on success.
- */
-__EXPORT int bson_encoder_init_file(bson_encoder_t encoder, int fd);
-
-/**
- * Initialze the encoder for writing to a buffer.
- *
- * @param encoder		Encoder state structure to be initialised.
- * @param buf			Buffer pointer to use, or NULL if the buffer
- *				should be allocated by the encoder.
- * @param bufsize		Maximum buffer size, or zero for no limit. If 
- *				the buffer is supplied, the size of the supplied buffer.
- * @return			Zero on success.
- */
-__EXPORT int bson_encoder_init_buf(bson_encoder_t encoder, void *buf, unsigned bufsize);
-
-/**
- * Finalise the encoded stream.
- *
- * @param encoder		The encoder to finalise.
- */
-__EXPORT int bson_encoder_fini(bson_encoder_t encoder);
-
-/**
- * Fetch the size of the encoded object; only valid for buffer operations.
- */
-__EXPORT int bson_encoder_buf_size(bson_encoder_t encoder);
-
-/**
- * Get a pointer to the encoded object buffer.
- *
- * Note that if the buffer was allocated by the encoder, it is the caller's responsibility
- * to free this buffer.
- */
-__EXPORT void *bson_encoder_buf_data(bson_encoder_t encoder);
-
-/**
- * Append a boolean to the encoded stream.
- *
- * @param encoder		Encoder state.
- * @param name			Node name.
- * @param value			Value to be encoded.
- */
-__EXPORT int bson_encoder_append_bool(bson_encoder_t encoder, const char *name, bool value);
-
-/**
- * Append an integer to the encoded stream.
- *
- * @param encoder		Encoder state.
- * @param name			Node name.
- * @param value			Value to be encoded. 
- */
-__EXPORT int bson_encoder_append_int(bson_encoder_t encoder, const char *name, int64_t value);
-
-/**
- * Append a double to the encoded stream
- *
- * @param encoder		Encoder state.
- * @param name			Node name.
- * @param value			Value to be encoded.
- */
-__EXPORT int bson_encoder_append_double(bson_encoder_t encoder, const char *name, double value);
-
-/**
- * Append a string to the encoded stream.
- *
- * @param encoder		Encoder state.
- * @param name			Node name.
- * @param string		Nul-terminated C string.
- */
-__EXPORT int bson_encoder_append_string(bson_encoder_t encoder, const char *name, const char *string);
-
-/**
- * Append a binary blob to the encoded stream.
- *
- * @param encoder		Encoder state.
- * @param name			Node name.
- * @param subtype		Binary data subtype.
- * @param size			Data size.
- * @param data			Buffer containing data to be encoded.
- */
-__EXPORT int bson_encoder_append_binary(bson_encoder_t encoder, const char *name, bson_binary_subtype_t subtype, size_t size, const void *data);
-
-
-#endif
diff --git a/apps/systemlib/conversions.c b/apps/systemlib/conversions.c
deleted file mode 100644
index ac94252c5..000000000
--- a/apps/systemlib/conversions.c
+++ /dev/null
@@ -1,154 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *   Author: @author Lorenz Meier 
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file conversions.c
- * Implementation of commonly used conversions.
- */
-
-#include 
-#include 
-
-#include "conversions.h"
-
-int16_t
-int16_t_from_bytes(uint8_t bytes[])
-{
-	union {
-		uint8_t    b[2];
-		int16_t    w;
-	} u;
-
-	u.b[1] = bytes[0];
-	u.b[0] = bytes[1];
-
-	return u.w;
-}
-
-void rot2quat(const float R[9], float Q[4])
-{
-	float q0_2;
-	float q1_2;
-	float q2_2;
-	float q3_2;
-	int32_t idx;
-
-	/* conversion of rotation matrix to quaternion
-	 * choose the largest component to begin with */
-	q0_2 = (((1.0F + R[0]) + R[4]) + R[8]) / 4.0F;
-	q1_2 = (((1.0F + R[0]) - R[4]) - R[8]) / 4.0F;
-	q2_2 = (((1.0F - R[0]) + R[4]) - R[8]) / 4.0F;
-	q3_2 = (((1.0F - R[0]) - R[4]) + R[8]) / 4.0F;
-
-	idx = 0;
-
-	if (q0_2 < q1_2) {
-		q0_2 = q1_2;
-
-		idx = 1;
-	}
-
-	if (q0_2 < q2_2) {
-		q0_2 = q2_2;
-		idx = 2;
-	}
-
-	if (q0_2 < q3_2) {
-		q0_2 = q3_2;
-		idx = 3;
-	}
-
-	q0_2 = sqrtf(q0_2);
-
-	/* solve for the remaining three components */
-	if (idx == 0) {
-		q1_2 = q0_2;
-		q2_2 = (R[5] - R[7]) / 4.0F / q0_2;
-		q3_2 = (R[6] - R[2]) / 4.0F / q0_2;
-		q0_2 = (R[1] - R[3]) / 4.0F / q0_2;
-
-	} else if (idx == 1) {
-		q2_2 = q0_2;
-		q1_2 = (R[5] - R[7]) / 4.0F / q0_2;
-		q3_2 = (R[3] + R[1]) / 4.0F / q0_2;
-		q0_2 = (R[6] + R[2]) / 4.0F / q0_2;
-
-	} else if (idx == 2) {
-		q3_2 = q0_2;
-		q1_2 = (R[6] - R[2]) / 4.0F / q0_2;
-		q2_2 = (R[3] + R[1]) / 4.0F / q0_2;
-		q0_2 = (R[7] + R[5]) / 4.0F / q0_2;
-
-	} else {
-		q1_2 = (R[1] - R[3]) / 4.0F / q0_2;
-		q2_2 = (R[6] + R[2]) / 4.0F / q0_2;
-		q3_2 = (R[7] + R[5]) / 4.0F / q0_2;
-	}
-
-	/* return values */
-	Q[0] = q1_2;
-	Q[1] = q2_2;
-	Q[2] = q3_2;
-	Q[3] = q0_2;
-}
-
-void quat2rot(const float Q[4], float R[9])
-{
-	float q0_2;
-	float q1_2;
-	float q2_2;
-	float q3_2;
-
-	memset(&R[0], 0, 9U * sizeof(float));
-
-	q0_2 = Q[0] * Q[0];
-	q1_2 = Q[1] * Q[1];
-	q2_2 = Q[2] * Q[2];
-	q3_2 = Q[3] * Q[3];
-
-	R[0] = ((q0_2 + q1_2) - q2_2) - q3_2;
-	R[3] = 2.0F * (Q[1] * Q[2] - Q[0] * Q[3]);
-	R[6] = 2.0F * (Q[1] * Q[3] + Q[0] * Q[2]);
-	R[1] = 2.0F * (Q[1] * Q[2] + Q[0] * Q[3]);
-	R[4] = ((q0_2 + q2_2) - q1_2) - q3_2;
-	R[7] = 2.0F * (Q[2] * Q[3] - Q[0] * Q[1]);
-	R[2] = 2.0F * (Q[1] * Q[3] - Q[0] * Q[2]);
-	R[5] = 2.0F * (Q[2] * Q[3] + Q[0] * Q[1]);
-	R[8] = ((q0_2 + q3_2) - q1_2) - q2_2;
-}
-
-float get_air_density(float static_pressure, float temperature_celsius)
-{
-	return static_pressure / (CONSTANTS_AIR_GAS_CONST * (temperature_celsius - CONSTANTS_ABSOLUTE_NULL_CELSIUS));
-}
diff --git a/apps/systemlib/conversions.h b/apps/systemlib/conversions.h
deleted file mode 100644
index 5d485b01f..000000000
--- a/apps/systemlib/conversions.h
+++ /dev/null
@@ -1,94 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *   Author: Lorenz Meier 
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file conversions.h
- * Definition of commonly used conversions.
- *
- * Includes bit / byte / geo representation and unit conversions.
- */
-
-#ifndef CONVERSIONS_H_
-#define CONVERSIONS_H_
-#include 
-#include 
-
-#define CONSTANTS_ONE_G						9.80665f		// m/s^2
-#define CONSTANTS_AIR_DENSITY_SEA_LEVEL_15C	1.225f			// kg/m^3
-#define CONSTANTS_AIR_GAS_CONST				287.1f 			// J/(kg * K)
-#define CONSTANTS_ABSOLUTE_NULL_CELSIUS		-273.15f		// °C
-
-__BEGIN_DECLS
-
-/**
- * Converts a signed 16 bit integer from big endian to little endian.
- *
- * This function is for commonly used 16 bit big endian sensor data,
- * delivered by driver routines as two 8 bit numbers in big endian order.
- * Common vendors with big endian representation are Invense, Bosch and
- * Honeywell. ST micro devices tend to use a little endian representation.
- */
-__EXPORT int16_t int16_t_from_bytes(uint8_t bytes[]);
-
-/**
- * Converts a 3 x 3 rotation matrix to an unit quaternion.
- *
- * All orientations are expressed in NED frame.
- *
- * @param R rotation matrix to convert
- * @param Q quaternion to write back to
- */
-__EXPORT void rot2quat(const float R[9], float Q[4]);
-
-/**
- * Converts an unit quaternion to a 3 x 3 rotation matrix.
- *
- * All orientations are expressed in NED frame.
- *
- * @param Q quaternion to convert
- * @param R rotation matrix to write back to
- */
-__EXPORT void quat2rot(const float Q[4], float R[9]);
-
-/**
- * Calculates air density.
- *
- * @param static_pressure ambient pressure in millibar
- * @param temperature_celcius air / ambient temperature in celcius
- */
-__EXPORT float get_air_density(float static_pressure, float temperature_celsius);
-
-__END_DECLS
-
-#endif /* CONVERSIONS_H_ */
diff --git a/apps/systemlib/cpuload.c b/apps/systemlib/cpuload.c
deleted file mode 100644
index 20b711fa6..000000000
--- a/apps/systemlib/cpuload.c
+++ /dev/null
@@ -1,176 +0,0 @@
-/****************************************************************************
- * configs/px4fmu/src/up_leds.c
- * arch/arm/src/board/up_leds.c
- *
- *   Copyright (C) 2011 Gregory Nutt. All rights reserved.
- *   Author: Gregory Nutt 
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name NuttX nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/****************************************************************************
- * Included Files
- ****************************************************************************/
-
-#include 
-
-#include 
-#include 
-#include 
-
-#include 
-#include 
-
-#include 
-#include 
-
-#include "cpuload.h"
-
-#ifdef CONFIG_SCHED_INSTRUMENTATION
-
-/****************************************************************************
- * Definitions
- ****************************************************************************/
-
-
-/****************************************************************************
- * Public Functions
- ****************************************************************************/
-
-__EXPORT void sched_note_start(FAR _TCB *tcb);
-__EXPORT void sched_note_stop(FAR _TCB *tcb);
-__EXPORT void sched_note_switch(FAR _TCB *pFromTcb, FAR _TCB *pToTcb);
-
-/****************************************************************************
- * Name:
- ****************************************************************************/
-
-__EXPORT struct system_load_s system_load;
-
-extern FAR _TCB *sched_gettcb(pid_t pid);
-
-void cpuload_initialize_once()
-{
-//	if (!system_load.initialized)
-//	{
-	system_load.start_time = hrt_absolute_time();
-	int i;
-
-	for (i = 0; i < CONFIG_MAX_TASKS; i++) {
-		system_load.tasks[i].valid = false;
-	}
-
-	system_load.total_count = 0;
-
-	uint64_t now = hrt_absolute_time();
-
-	/* initialize idle thread statically */
-	system_load.tasks[0].start_time = now;
-	system_load.tasks[0].total_runtime = 0;
-	system_load.tasks[0].curr_start_time = 0;
-	system_load.tasks[0].tcb = sched_gettcb(0);
-	system_load.tasks[0].valid = true;
-	system_load.total_count++;
-
-	/* initialize init thread statically */
-	system_load.tasks[1].start_time = now;
-	system_load.tasks[1].total_runtime = 0;
-	system_load.tasks[1].curr_start_time = 0;
-	system_load.tasks[1].tcb = sched_gettcb(1);
-	system_load.tasks[1].valid = true;
-	/* count init thread */
-	system_load.total_count++;
-	//	}
-}
-
-void sched_note_start(FAR _TCB *tcb)
-{
-	/* search first free slot */
-	int i;
-
-	for (i = 1; i < CONFIG_MAX_TASKS; i++) {
-		if (!system_load.tasks[i].valid) {
-			/* slot is available */
-			system_load.tasks[i].start_time = hrt_absolute_time();
-			system_load.tasks[i].total_runtime = 0;
-			system_load.tasks[i].curr_start_time = 0;
-			system_load.tasks[i].tcb = tcb;
-			system_load.tasks[i].valid = true;
-			system_load.total_count++;
-			break;
-		}
-	}
-}
-
-void sched_note_stop(FAR _TCB *tcb)
-{
-	int i;
-
-	for (i = 1; i < CONFIG_MAX_TASKS; i++) {
-		if (system_load.tasks[i].tcb->pid == tcb->pid) {
-			/* mark slot as fee */
-			system_load.tasks[i].valid = false;
-			system_load.tasks[i].total_runtime = 0;
-			system_load.tasks[i].curr_start_time = 0;
-			system_load.tasks[i].tcb = NULL;
-			system_load.total_count--;
-			break;
-		}
-	}
-}
-
-void sched_note_switch(FAR _TCB *pFromTcb, FAR _TCB *pToTcb)
-{
-	uint64_t new_time = hrt_absolute_time();
-
-	/* Kind of inefficient: find both tasks and update times */
-	uint8_t both_found = 0;
-
-	for (int i = 0; i < CONFIG_MAX_TASKS; i++) {
-		/* Task ending its current scheduling run */
-		if (system_load.tasks[i].tcb->pid == pFromTcb->pid) {
-			//if (system_load.tasks[i].curr_start_time != 0)
-			{
-				system_load.tasks[i].total_runtime += new_time - system_load.tasks[i].curr_start_time;
-			}
-			both_found++;
-
-		} else if (system_load.tasks[i].tcb->pid == pToTcb->pid) {
-			system_load.tasks[i].curr_start_time = new_time;
-			both_found++;
-		}
-
-		/* Do only iterate as long as needed */
-		if (both_found == 2) {
-			break;
-		}
-	}
-}
-
-#endif /* CONFIG_SCHED_INSTRUMENTATION */
diff --git a/apps/systemlib/cpuload.h b/apps/systemlib/cpuload.h
deleted file mode 100644
index a97047ea8..000000000
--- a/apps/systemlib/cpuload.h
+++ /dev/null
@@ -1,63 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-#pragma once
-
-#ifdef CONFIG_SCHED_INSTRUMENTATION
-
-__BEGIN_DECLS
-
-#include 
-
-struct system_load_taskinfo_s {
-	uint64_t total_runtime;      ///< Runtime since start (start_time - total_runtime)/(start_time - current_time) = load
-	uint64_t curr_start_time;     ///< Start time of the current scheduling slot
-	uint64_t start_time;         ///< FIRST start time of task
-	FAR struct _TCB *tcb;               ///<
-	bool valid;                  ///< Task is currently active / valid
-};
-
-struct system_load_s {
-	uint64_t start_time;         ///< Global start time of measurements
-	struct system_load_taskinfo_s tasks[CONFIG_MAX_TASKS];
-	uint8_t initialized;
-	int total_count;
-	int running_count;
-	int sleeping_count;
-};
-
-__EXPORT extern struct system_load_s system_load;
-
-__EXPORT void cpuload_initialize_once(void);
-
-#endif
diff --git a/apps/systemlib/err.c b/apps/systemlib/err.c
deleted file mode 100644
index daf17ef8b..000000000
--- a/apps/systemlib/err.c
+++ /dev/null
@@ -1,193 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file err.c
- *
- * Simple error/warning functions, heavily inspired by the BSD functions of
- * the same names.
- */
-
-#include 
-
-#include 
-#include 
-#include 
-
-#include "err.h"
-
-#define NOCODE		1000	/* larger than maximum errno */
-
-#if CONFIG_NFILE_STREAMS > 0
-#  include 
-#elif defined(CONFIG_ARCH_LOWPUTC)
-#  include 
-extern int lib_lowvprintf(const char *fmt, va_list ap);
-#else
-#  warning Cannot output without one of CONFIG_NFILE_STREAMS or CONFIG_ARCH_LOWPUTC
-#endif
-
-const char *
-getprogname(void)
-{
-#if CONFIG_TASK_NAME_SIZE > 0
-	_TCB	*thisproc = sched_self();
-
-	return thisproc->name;
-#else
-	return "app";
-#endif
-}
-
-static void
-warnerr_core(int errcode, const char *fmt, va_list args)
-{
-#if CONFIG_NFILE_STREAMS > 0
-	fprintf(stderr, "%s: ", getprogname());
-	vfprintf(stderr, fmt, args);
-
-	/* convenience as many parts of NuttX use negative errno */
-	if (errcode < 0)
-		errcode = -errcode;
-
-	if (errcode < NOCODE)
-		fprintf(stderr, ": %s", strerror(errcode));
-
-	fprintf(stderr, "\n");
-#elif CONFIG_ARCH_LOWPUTC
-	lowsyslog("%s: ", getprogname());
-	lowvyslog(fmt, args);
-
-	/* convenience as many parts of NuttX use negative errno */
-	if (errcode < 0)
-		errcode = -errcode;
-
-	if (errcode < NOCODE)
-		lowsyslog(": %s", strerror(errcode));
-
-	lowsyslog("\n");
-#endif
-}
-
-void
-err(int exitcode, const char *fmt, ...)
-{
-	va_list	args;
-
-	va_start(args, fmt);
-	verr(exitcode, fmt, args);
-}
-
-void
-verr(int exitcode, const char *fmt, va_list args)
-{
-	warnerr_core(errno, fmt, args);
-	exit(exitcode);
-}
-
-void
-errc(int exitcode, int errcode, const char *fmt, ...)
-{
-	va_list args;
-
-	va_start(args, fmt);
-	verrc(exitcode, errcode, fmt, args);
-}
-
-void
-verrc(int exitcode, int errcode, const char *fmt, va_list args)
-{
-	warnerr_core(errcode, fmt, args);
-	exit(exitcode);
-}
-
-void
-errx(int exitcode, const char *fmt, ...)
-{
-	va_list args;
-
-	va_start(args, fmt);
-	verrx(exitcode, fmt, args);
-}
-
-void
-verrx(int exitcode, const char *fmt, va_list args)
-{
-	warnerr_core(NOCODE, fmt, args);
-	exit(exitcode);
-}
-
-void
-warn(const char *fmt, ...)
-{
-	va_list args;
-
-	va_start(args, fmt);
-	vwarn(fmt, args);
-}
-
-void
-vwarn(const char *fmt, va_list args)
-{
-	warnerr_core(errno, fmt, args);
-}
-
-void
-warnc(int errcode, const char *fmt, ...)
-{
-	va_list args;
-
-	va_start(args, fmt);
-	vwarnc(errcode, fmt, args);
-}
-
-void
-vwarnc(int errcode, const char *fmt, va_list args)
-{
-	warnerr_core(errcode, fmt, args);
-}
-
-void
-warnx(const char *fmt, ...)
-{
-	va_list args;
-
-	va_start(args, fmt);
-	vwarnx(fmt, args);
-}
-
-void
-vwarnx(const char *fmt, va_list args)
-{
-	warnerr_core(NOCODE, fmt, args);
-}
diff --git a/apps/systemlib/err.h b/apps/systemlib/err.h
deleted file mode 100644
index ca13d6265..000000000
--- a/apps/systemlib/err.h
+++ /dev/null
@@ -1,89 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file err.h
- *
- * Simple error/warning functions, heavily inspired by the BSD functions of
- * the same names.
- *
- * The err() and warn() family of functions display a formatted error
- * message on the standard error output.  In all cases, the last
- * component of the program name, a colon character, and a space are
- * output.  If the fmt argument is not NULL, the printf(3)-like formatted
- * error message is output.  The output is terminated by a newline
- * character.
- *
- * The err(), errc(), verr(), verrc(), warn(), warnc(), vwarn(), and
- * vwarnc() functions append an error message obtained from strerror(3)
- * based on a supplied error code value or the global variable errno,
- * preceded by another colon and space unless the fmt argument is NULL.
- *
- * In the case of the errc(), verrc(), warnc(), and vwarnc() functions,
- * the code argument is used to look up the error message.
- *
- * The err(), verr(), warn(), and vwarn() functions use the global
- * variable errno to look up the error message.
- *
- * The errx() and warnx() functions do not append an error message.
- *
- * The err(), verr(), errc(), verrc(), errx(), and verrx() functions do
- * not return, but exit with the value of the argument eval.
- *
- */
-
-#ifndef _SYSTEMLIB_ERR_H
-#define _SYSTEMLIB_ERR_H
-
-#include 
-
-__BEGIN_DECLS
-
-__EXPORT const char *getprogname(void);
-
-__EXPORT void	err(int eval, const char *fmt, ...)		__attribute__((noreturn, format(printf, 2, 3)));
-__EXPORT void	verr(int eval, const char *fmt, va_list)	__attribute__((noreturn, format(printf, 2, 0)));
-__EXPORT void	errc(int eval, int code, const char *fmt, ...)	__attribute__((noreturn, format(printf, 3, 4)));
-__EXPORT void	verrc(int eval, int code, const char *fmt, va_list) __attribute__((noreturn, format(printf, 3, 0)));
-__EXPORT void	errx(int eval, const char *fmt, ...) 		__attribute__((noreturn, format(printf, 2, 3)));
-__EXPORT void	verrx(int eval, const char *fmt, va_list)	__attribute__((noreturn, format(printf, 2, 0)));
-__EXPORT void	warn(const char *fmt, ...)			__attribute__((format(printf, 1, 2)));
-__EXPORT void	vwarn(const char *fmt, va_list)			__attribute__((format(printf, 1, 0)));
-__EXPORT void	warnc(int code, const char *fmt, ...)		__attribute__((format(printf, 2, 3)));
-__EXPORT void	vwarnc(int code, const char *fmt, va_list)	__attribute__((format(printf, 2, 0)));
-__EXPORT void	warnx(const char *fmt, ...)			__attribute__((format(printf, 1, 2)));
-__EXPORT void	vwarnx(const char *fmt, va_list)		__attribute__((format(printf, 1, 0)));
-
-__END_DECLS
-
-#endif
diff --git a/apps/systemlib/geo/geo.c b/apps/systemlib/geo/geo.c
deleted file mode 100644
index 6746e8ff3..000000000
--- a/apps/systemlib/geo/geo.c
+++ /dev/null
@@ -1,439 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *   Author: Thomas Gubler 
- *           Julian Oes 
- *           Lorenz Meier 
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file geo.c
- *
- * Geo / math functions to perform geodesic calculations
- *
- * @author Thomas Gubler 
- * @author Julian Oes 
- * @author Lorenz Meier 
- */
-
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-
-
-/* values for map projection */
-static double phi_1;
-static double sin_phi_1;
-static double cos_phi_1;
-static double lambda_0;
-static double scale;
-
-__EXPORT void map_projection_init(double lat_0, double lon_0) //lat_0, lon_0 are expected to be in correct format: -> 47.1234567 and not 471234567
-{
-	/* notation and formulas according to: http://mathworld.wolfram.com/AzimuthalEquidistantProjection.html */
-	phi_1 = lat_0 / 180.0 * M_PI;
-	lambda_0 = lon_0 / 180.0 * M_PI;
-
-	sin_phi_1 = sin(phi_1);
-	cos_phi_1 = cos(phi_1);
-
-	/* calculate local scale by using the relation of true distance and the distance on plane */ //TODO: this is a quick solution, there are probably easier ways to determine the scale
-
-	/* 1) calculate true distance d on sphere to a point: http://www.movable-type.co.uk/scripts/latlong.html */
-	const double r_earth = 6371000;
-
-	double lat1 = phi_1;
-	double lon1 = lambda_0;
-
-	double lat2 = phi_1 + 0.5 / 180 * M_PI;
-	double lon2 = lambda_0 + 0.5 / 180 * M_PI;
-	double sin_lat_2 = sin(lat2);
-	double cos_lat_2 = cos(lat2);
-	double d = acos(sin(lat1) * sin_lat_2 + cos(lat1) * cos_lat_2 * cos(lon2 - lon1)) * r_earth;
-
-	/* 2) calculate distance rho on plane */
-	double k_bar = 0;
-	double c =  acos(sin_phi_1 * sin_lat_2 + cos_phi_1 * cos_lat_2 * cos(lon2 - lambda_0));
-
-	if (0 != c)
-		k_bar = c / sin(c);
-
-	double x2 = k_bar * (cos_lat_2 * sin(lon2 - lambda_0)); //Projection of point 2 on plane
-	double y2 = k_bar * ((cos_phi_1 * sin_lat_2 - sin_phi_1 * cos_lat_2 * cos(lon2 - lambda_0)));
-	double rho = sqrt(pow(x2, 2) + pow(y2, 2));
-
-	scale = d / rho;
-
-}
-
-__EXPORT void map_projection_project(double lat, double lon, float *x, float *y)
-{
-	/* notation and formulas accoring to: http://mathworld.wolfram.com/AzimuthalEquidistantProjection.html */
-	double phi = lat / 180.0 * M_PI;
-	double lambda = lon / 180.0 * M_PI;
-
-	double sin_phi = sin(phi);
-	double cos_phi = cos(phi);
-
-	double k_bar = 0;
-	/* using small angle approximation (formula in comment is without aproximation) */
-	double c =  acos(sin_phi_1 * sin_phi + cos_phi_1 * cos_phi * (1 - pow((lambda - lambda_0), 2) / 2)); //double c =  acos( sin_phi_1 * sin_phi + cos_phi_1 * cos_phi * cos(lambda - lambda_0) );
-
-	if (0 != c)
-		k_bar = c / sin(c);
-
-	/* using small angle approximation (formula in comment is without aproximation) */
-	*y = k_bar * (cos_phi * (lambda - lambda_0)) * scale;//*y = k_bar * (cos_phi * sin(lambda - lambda_0)) * scale;
-	*x = k_bar * ((cos_phi_1 * sin_phi - sin_phi_1 * cos_phi * (1 - pow((lambda - lambda_0), 2) / 2))) * scale; //	*x = k_bar * ((cos_phi_1 * sin_phi - sin_phi_1 * cos_phi * cos(lambda - lambda_0))) * scale;
-
-//	printf("%phi_1=%.10f, lambda_0 =%.10f\n", phi_1, lambda_0);
-}
-
-__EXPORT void map_projection_reproject(float x, float y, double *lat, double *lon)
-{
-	/* notation and formulas accoring to: http://mathworld.wolfram.com/AzimuthalEquidistantProjection.html */
-
-	double x_descaled = x / scale;
-	double y_descaled = y / scale;
-
-	double c = sqrt(pow(x_descaled, 2) + pow(y_descaled, 2));
-	double sin_c = sin(c);
-	double cos_c = cos(c);
-
-	double lat_sphere = 0;
-
-	if (c != 0)
-		lat_sphere = asin(cos_c * sin_phi_1 + (x_descaled * sin_c * cos_phi_1) / c);
-	else
-		lat_sphere = asin(cos_c * sin_phi_1);
-
-//	printf("lat_sphere = %.10f\n",lat_sphere);
-
-	double lon_sphere = 0;
-
-	if (phi_1  == M_PI / 2) {
-		//using small angle approximation (formula in comment is without aproximation)
-		lon_sphere = (lambda_0 - y_descaled / x_descaled); //lon_sphere = (lambda_0 + atan2(-y_descaled, x_descaled));
-
-	} else if (phi_1 == -M_PI / 2) {
-		//using small angle approximation (formula in comment is without aproximation)
-		lon_sphere = (lambda_0 + y_descaled / x_descaled); //lon_sphere = (lambda_0 + atan2(y_descaled, x_descaled));
-
-	} else {
-
-		lon_sphere = (lambda_0 + atan2(y_descaled * sin_c , c * cos_phi_1 * cos_c - x_descaled * sin_phi_1 * sin_c));
-		//using small angle approximation
-//    	double denominator = (c * cos_phi_1 * cos_c - x_descaled * sin_phi_1 * sin_c);
-//    	if(denominator != 0)
-//    	{
-//    		lon_sphere = (lambda_0 + (y_descaled * sin_c) / denominator);
-//    	}
-//    	else
-//    	{
-//    	...
-//    	}
-	}
-
-//	printf("lon_sphere = %.10f\n",lon_sphere);
-
-	*lat = lat_sphere * 180.0 / M_PI;
-	*lon = lon_sphere * 180.0 / M_PI;
-
-}
-
-
-__EXPORT float get_distance_to_next_waypoint(double lat_now, double lon_now, double lat_next, double lon_next)
-{
-	double lat_now_rad = lat_now / 180.0d * M_PI;
-	double lon_now_rad = lon_now / 180.0d * M_PI;
-	double lat_next_rad = lat_next / 180.0d * M_PI;
-	double lon_next_rad = lon_next / 180.0d * M_PI;
-
-
-	double d_lat = lat_next_rad - lat_now_rad;
-	double d_lon = lon_next_rad - lon_now_rad;
-
-	double a = sin(d_lat / 2.0d) * sin(d_lat / 2.0) + sin(d_lon / 2.0d) * sin(d_lon / 2.0d) * cos(lat_now_rad) * cos(lat_next_rad);
-	double c = 2.0d * atan2(sqrt(a), sqrt(1.0d - a));
-
-	const double radius_earth = 6371000.0d;
-
-	return radius_earth * c;
-}
-
-__EXPORT float get_bearing_to_next_waypoint(double lat_now, double lon_now, double lat_next, double lon_next)
-{
-	double lat_now_rad = lat_now * M_DEG_TO_RAD;
-	double lon_now_rad = lon_now * M_DEG_TO_RAD;
-	double lat_next_rad = lat_next * M_DEG_TO_RAD;
-	double lon_next_rad = lon_next * M_DEG_TO_RAD;
-
-	double d_lat = lat_next_rad - lat_now_rad;
-	double d_lon = lon_next_rad - lon_now_rad;
-
-	/* conscious mix of double and float trig function to maximize speed and efficiency */
-	float theta = atan2f(sin(d_lon) * cos(lat_next_rad) , cos(lat_now_rad) * sin(lat_next_rad) - sin(lat_now_rad) * cos(lat_next_rad) * cos(d_lon));
-
-	theta = _wrap_pi(theta);
-
-	return theta;
-}
-
-// Additional functions - @author Doug Weibel 
-
-__EXPORT int get_distance_to_line(struct crosstrack_error_s * crosstrack_error, double lat_now, double lon_now, double lat_start, double lon_start, double lat_end, double lon_end)
-{
-// This function returns the distance to the nearest point on the track line.  Distance is positive if current
-// position is right of the track and negative if left of the track as seen from a point on the track line
-// headed towards the end point.
-
-	float dist_to_end;
-	float bearing_end;
-	float bearing_track;
-	float bearing_diff;
-
-	int return_value = ERROR;	// Set error flag, cleared when valid result calculated.
-	crosstrack_error->past_end = false;
-	crosstrack_error->distance = 0.0f;
-	crosstrack_error->bearing = 0.0f;
-
-	// Return error if arguments are bad
-	if (lat_now == 0.0d || lon_now == 0.0d || lat_start == 0.0d || lon_start == 0.0d || lat_end == 0.0d || lon_end == 0.0d) return return_value;
-
-	bearing_end = get_bearing_to_next_waypoint(lat_now, lon_now, lat_end, lon_end);
-	bearing_track = get_bearing_to_next_waypoint(lat_start, lon_start, lat_end, lon_end);
-	bearing_diff = bearing_track - bearing_end;
-	bearing_diff = _wrap_pi(bearing_diff);
-
-	// Return past_end = true if past end point of line
-	if (bearing_diff > M_PI_2_F || bearing_diff < -M_PI_2_F) {
-		crosstrack_error->past_end = true;
-		return_value = OK;
-		return return_value;
-	}
-
-	dist_to_end = get_distance_to_next_waypoint(lat_now, lon_now, lat_end, lon_end);
-	crosstrack_error->distance = (dist_to_end) * sin(bearing_diff);
-
-	if (sin(bearing_diff) >= 0) {
-		crosstrack_error->bearing = _wrap_pi(bearing_track - M_PI_2_F);
-
-	} else {
-		crosstrack_error->bearing = _wrap_pi(bearing_track + M_PI_2_F);
-	}
-
-	return_value = OK;
-
-	return return_value;
-
-}
-
-
-__EXPORT int get_distance_to_arc(struct crosstrack_error_s * crosstrack_error, double lat_now, double lon_now, double lat_center, double lon_center,
-		float radius, float arc_start_bearing, float arc_sweep)
-{
-	// This function returns the distance to the nearest point on the track arc.  Distance is positive if current
-	// position is right of the arc and negative if left of the arc as seen from the closest point on the arc and
-	// headed towards the end point.
-
-	// Determine if the current position is inside or outside the sector between the line from the center
-	// to the arc start and the line from the center to the arc end
-	float	bearing_sector_start;
-	float	bearing_sector_end;
-	float	bearing_now = get_bearing_to_next_waypoint(lat_now, lon_now, lat_center, lon_center);
-	bool	in_sector;
-
-	int return_value = ERROR;		// Set error flag, cleared when valid result calculated.
-	crosstrack_error->past_end = false;
-	crosstrack_error->distance = 0.0f;
-	crosstrack_error->bearing = 0.0f;
-
-	// Return error if arguments are bad
-	if (lat_now == 0.0d || lon_now == 0.0d || lat_center == 0.0d || lon_center == 0.0d || radius == 0.0d) return return_value;
-
-
-	if (arc_sweep >= 0) {
-		bearing_sector_start = arc_start_bearing;
-		bearing_sector_end = arc_start_bearing + arc_sweep;
-
-		if (bearing_sector_end > 2.0f * M_PI_F) bearing_sector_end -= M_TWOPI_F;
-
-	} else {
-		bearing_sector_end = arc_start_bearing;
-		bearing_sector_start = arc_start_bearing - arc_sweep;
-
-		if (bearing_sector_start < 0.0f) bearing_sector_start += M_TWOPI_F;
-	}
-
-	in_sector = false;
-
-	// Case where sector does not span zero
-	if (bearing_sector_end >= bearing_sector_start && bearing_now >= bearing_sector_start && bearing_now <= bearing_sector_end) in_sector = true;
-
-	// Case where sector does span zero
-	if (bearing_sector_end < bearing_sector_start && (bearing_now > bearing_sector_start || bearing_now < bearing_sector_end)) in_sector = true;
-
-	// If in the sector then calculate distance and bearing to closest point
-	if (in_sector) {
-		crosstrack_error->past_end = false;
-		float dist_to_center = get_distance_to_next_waypoint(lat_now, lon_now, lat_center, lon_center);
-
-		if (dist_to_center <= radius) {
-			crosstrack_error->distance = radius - dist_to_center;
-			crosstrack_error->bearing = bearing_now + M_PI_F;
-
-		} else {
-			crosstrack_error->distance = dist_to_center - radius;
-			crosstrack_error->bearing = bearing_now;
-		}
-
-		// If out of the sector then calculate dist and bearing to start or end point
-
-	} else {
-
-		// Use the approximation  that 111,111 meters in the y direction is 1 degree (of latitude)
-		// and 111,111 * cos(latitude) meters in the x direction is 1 degree (of longitude) to
-		// calculate the position of the start and end points.  We should not be doing this often
-		// as this function generally will not be called repeatedly when we are out of the sector.
-
-		// TO DO - this is messed up and won't compile
-		float start_disp_x = radius * sin(arc_start_bearing);
-		float start_disp_y = radius * cos(arc_start_bearing);
-		float end_disp_x = radius * sin(_wrapPI(arc_start_bearing + arc_sweep));
-		float end_disp_y = radius * cos(_wrapPI(arc_start_bearing + arc_sweep));
-		float lon_start = lon_now + start_disp_x / 111111.0d;
-		float lat_start = lat_now + start_disp_y * cos(lat_now) / 111111.0d;
-		float lon_end = lon_now + end_disp_x / 111111.0d;
-		float lat_end = lat_now + end_disp_y * cos(lat_now) / 111111.0d;
-		float dist_to_start = get_distance_to_next_waypoint(lat_now, lon_now, lat_start, lon_start);
-		float dist_to_end = get_distance_to_next_waypoint(lat_now, lon_now, lat_end, lon_end);
-
-
-		if (dist_to_start < dist_to_end) {
-			crosstrack_error->distance = dist_to_start;
-			crosstrack_error->bearing = get_bearing_to_next_waypoint(lat_now, lon_now, lat_start, lon_start);
-
-		} else {
-			crosstrack_error->past_end = true;
-			crosstrack_error->distance = dist_to_end;
-			crosstrack_error->bearing = get_bearing_to_next_waypoint(lat_now, lon_now, lat_end, lon_end);
-		}
-
-	}
-
-	crosstrack_error->bearing = _wrapPI(crosstrack_error->bearing);
-	return_value = OK;
-	return return_value;
-}
-
-__EXPORT float _wrap_pi(float bearing)
-{
-	/* value is inf or NaN */
-	if (!isfinite(bearing) || bearing == 0) {
-		return bearing;
-	}
-
-	int c = 0;
-
-	while (bearing > M_PI_F && c < 30) {
-		bearing -= M_TWOPI_F;
-		c++;
-	}
-
-	c = 0;
-
-	while (bearing <=  -M_PI_F && c < 30) {
-		bearing += M_TWOPI_F;
-		c++;
-	}
-
-	return bearing;
-}
-
-__EXPORT float _wrap_2pi(float bearing)
-{
-	/* value is inf or NaN */
-	if (!isfinite(bearing)) {
-		return bearing;
-	}
-
-	while (bearing >= M_TWOPI_F) {
-		bearing = bearing - M_TWOPI_F;
-	}
-
-	while (bearing <  0.0f) {
-		bearing = bearing + M_TWOPI_F;
-	}
-
-	return bearing;
-}
-
-__EXPORT float _wrap_180(float bearing)
-{
-	/* value is inf or NaN */
-	if (!isfinite(bearing)) {
-		return bearing;
-	}
-
-	while (bearing > 180.0f) {
-		bearing = bearing - 360.0f;
-	}
-
-	while (bearing <=  -180.0f) {
-		bearing = bearing + 360.0f;
-	}
-
-	return bearing;
-}
-
-__EXPORT float _wrap_360(float bearing)
-{
-	/* value is inf or NaN */
-	if (!isfinite(bearing)) {
-		return bearing;
-	}
-
-	while (bearing >= 360.0f) {
-		bearing = bearing - 360.0f;
-	}
-
-	while (bearing <  0.0f) {
-		bearing = bearing + 360.0f;
-	}
-
-	return bearing;
-}
-
-
diff --git a/apps/systemlib/geo/geo.h b/apps/systemlib/geo/geo.h
deleted file mode 100644
index 0c0b5c533..000000000
--- a/apps/systemlib/geo/geo.h
+++ /dev/null
@@ -1,97 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *   Author: Thomas Gubler 
- *           Julian Oes 
- *           Lorenz Meier 
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file geo.h
- *
- * Definition of geo / math functions to perform geodesic calculations
- *
- * @author Thomas Gubler 
- * @author Julian Oes 
- * @author Lorenz Meier 
- * Additional functions - @author Doug Weibel 
- */
-
-
-#include 
-
-struct crosstrack_error_s {
-	bool past_end;		// Flag indicating we are past the end of the line/arc segment
-	float distance;		// Distance in meters to closest point on line/arc
-	float bearing;		// Bearing in radians to closest point on line/arc
-} ;
-
-/**
- * Initializes the map transformation.
- *
- * Initializes the transformation between the geographic coordinate system and the azimuthal equidistant plane
- * @param lat in degrees (47.1234567°, not 471234567°)
- * @param lon in degrees (8.1234567°, not 81234567°)
- */
-__EXPORT void map_projection_init(double lat_0, double lon_0);
-
-/**
- * Transforms a point in the geographic coordinate system to the local azimuthal equidistant plane
- * @param x north
- * @param y east
- * @param lat in degrees (47.1234567°, not 471234567°)
- * @param lon in degrees (8.1234567°, not 81234567°)
- */
-__EXPORT void map_projection_project(double lat, double lon, float *x, float *y);
-
-/**
- * Transforms a point in the local azimuthal equidistant plane to the geographic coordinate system
- *
- * @param x north
- * @param y east
- * @param lat in degrees (47.1234567°, not 471234567°)
- * @param lon in degrees (8.1234567°, not 81234567°)
- */
-__EXPORT void map_projection_reproject(float x, float y, double *lat, double *lon);
-
-__EXPORT float get_distance_to_next_waypoint(double lat_now, double lon_now, double lat_next, double lon_next);
-
-__EXPORT float get_bearing_to_next_waypoint(double lat_now, double lon_now, double lat_next, double lon_next);
-
-__EXPORT int get_distance_to_line(struct crosstrack_error_s * crosstrack_error, double lat_now, double lon_now, double lat_start, double lon_start, double lat_end, double lon_end);
-
-__EXPORT int get_distance_to_arc(struct crosstrack_error_s * crosstrack_error, double lat_now, double lon_now, double lat_center, double lon_center,
-		float radius, float arc_start_bearing, float arc_sweep);
-
-__EXPORT float _wrap_180(float bearing);
-__EXPORT float _wrap_360(float bearing);
-__EXPORT float _wrap_pi(float bearing);
-__EXPORT float _wrap_2pi(float bearing);
diff --git a/apps/systemlib/getopt_long.c b/apps/systemlib/getopt_long.c
deleted file mode 100644
index 27c38635f..000000000
--- a/apps/systemlib/getopt_long.c
+++ /dev/null
@@ -1,404 +0,0 @@
-/****************************************************************************
-
-getopt.c - Read command line options
-
-AUTHOR: Gregory Pietsch
-CREATED Fri Jan 10 21:13:05 1997
-
-DESCRIPTION:
-
-The getopt() function parses the command line arguments.  Its arguments argc
-and argv are the argument count and array as passed to the main() function
-on program invocation.  The argument optstring is a list of available option
-characters.  If such a character is followed by a colon (`:'), the option
-takes an argument, which is placed in optarg.  If such a character is
-followed by two colons, the option takes an optional argument, which is
-placed in optarg.  If the option does not take an argument, optarg is NULL.
-
-The external variable optind is the index of the next array element of argv
-to be processed; it communicates from one call to the next which element to
-process.
-
-The getopt_long() function works like getopt() except that it also accepts
-long options started by two dashes `--'.  If these take values, it is either
-in the form
-
---arg=value
-
- or
-
---arg value
-
-It takes the additional arguments longopts which is a pointer to the first
-element of an array of type GETOPT_LONG_OPTION_T.  The last element of the
-array has to be filled with NULL for the name field.
-
-The longind pointer points to the index of the current long option relative
-to longopts if it is non-NULL.
-
-The getopt() function returns the option character if the option was found
-successfully, `:' if there was a missing parameter for one of the options,
-`?' for an unknown option character, and EOF for the end of the option list.
-
-The getopt_long() function's return value is described in the header file.
-
-The function getopt_long_only() is identical to getopt_long(), except that a
-plus sign `+' can introduce long options as well as `--'.
-
-The following describes how to deal with options that follow non-option
-argv-elements.
-
-If the caller did not specify anything, the default is REQUIRE_ORDER if the
-environment variable POSIXLY_CORRECT is defined, PERMUTE otherwise.
-
-REQUIRE_ORDER means don't recognize them as options; stop option processing
-when the first non-option is seen.  This is what Unix does.  This mode of
-operation is selected by either setting the environment variable
-POSIXLY_CORRECT, or using `+' as the first character of the optstring
-parameter.
-
-PERMUTE is the default.  We permute the contents of ARGV as we scan, so that
-eventually all the non-options are at the end.  This allows options to be
-given in any order, even with programs that were not written to expect this.
-
-RETURN_IN_ORDER is an option available to programs that were written to
-expect options and other argv-elements in any order and that care about the
-ordering of the two.  We describe each non-option argv-element as if it were
-the argument of an option with character code 1.  Using `-' as the first
-character of the optstring parameter selects this mode of operation.
-
-The special argument `--' forces an end of option-scanning regardless of the
-value of ordering.  In the case of RETURN_IN_ORDER, only `--' can cause
-getopt() and friends to return EOF with optind != argc.
-
-COPYRIGHT NOTICE AND DISCLAIMER:
-
-Copyright (C) 1997 Gregory Pietsch
-
-This file and the accompanying getopt.h header file are hereby placed in the 
-public domain without restrictions.  Just give the author credit, don't
-claim you wrote it or prevent anyone else from using it.
-
-Gregory Pietsch's current e-mail address:
-gpietsch@comcast.net
-****************************************************************************/
-
-/* include files */
-#include 
-#include 
-#include 
-#include "getopt_long.h"
-
-/* macros */
-
-/* types */
-typedef enum GETOPT_ORDERING_T
-{
-  PERMUTE,
-  RETURN_IN_ORDER,
-  REQUIRE_ORDER
-} GETOPT_ORDERING_T;
-
-/* globally-defined variables */
-char *optarg = NULL;
-int optind = 0;
-int opterr = 1;
-int optopt = '?';
-
-/* functions */
-
-/* reverse_argv_elements:  reverses num elements starting at argv */
-static void
-reverse_argv_elements (char **argv, int num)
-{
-  int i;
-  char *tmp;
-
-  for (i = 0; i < (num >> 1); i++)
-    {
-      tmp = argv[i];
-      argv[i] = argv[num - i - 1];
-      argv[num - i - 1] = tmp;
-    }
-}
-
-/* permute: swap two blocks of argv-elements given their lengths */
-static void
-permute (char **argv, int len1, int len2)
-{
-  reverse_argv_elements (argv, len1);
-  reverse_argv_elements (argv, len1 + len2);
-  reverse_argv_elements (argv, len2);
-}
-
-/* is_option: is this argv-element an option or the end of the option list? */
-static int
-is_option (char *argv_element, int only)
-{
-  return ((argv_element == NULL)
-          || (argv_element[0] == '-') || (only && argv_element[0] == '+'));
-}
-
-/* getopt_internal:  the function that does all the dirty work */
-static int
-getopt_internal (int argc, char **argv, const char *shortopts,
-                 const GETOPT_LONG_OPTION_T * longopts, int *longind, int only)
-{
-  GETOPT_ORDERING_T ordering = PERMUTE;
-  static size_t optwhere = 0;
-  size_t permute_from = 0;
-  int num_nonopts = 0;
-  int optindex = 0;
-  size_t match_chars = 0;
-  char *possible_arg = NULL;
-  int longopt_match = -1;
-  int has_arg = -1;
-  char *cp = NULL;
-  int arg_next = 0;
-
-  /* first, deal with silly parameters and easy stuff */
-  if (argc == 0 || argv == NULL || (shortopts == NULL && longopts == NULL)
-    || optind >= argc || argv[optind] == NULL)
-    return EOF;
-  if (strcmp (argv[optind], "--") == 0)
-    {
-      optind++;
-      return EOF;
-    }
-  /* if this is our first time through */
-  if (optind == 0)
-    optind = optwhere = 1;
-
-  /* define ordering */
-  if (shortopts != NULL && (*shortopts == '-' || *shortopts == '+'))
-    {
-      ordering = (*shortopts == '-') ? RETURN_IN_ORDER : REQUIRE_ORDER;
-      shortopts++;
-    }
-  else
-    ordering = /*(getenv ("POSIXLY_CORRECT") != NULL) ? REQUIRE_ORDER :*/ PERMUTE;
-
-  /*
-   * based on ordering, find our next option, if we're at the beginning of
-   * one
-   */
-  if (optwhere == 1)
-    {
-      switch (ordering)
-        {
-        default:                /* shouldn't happen */
-        case PERMUTE:
-          permute_from = optind;
-          num_nonopts = 0;
-          while (!is_option (argv[optind], only))
-            {
-              optind++;
-              num_nonopts++;
-            }
-          if (argv[optind] == NULL)
-            {
-              /* no more options */
-              optind = permute_from;
-              return EOF;
-            }
-          else if (strcmp (argv[optind], "--") == 0)
-            {
-              /* no more options, but have to get `--' out of the way */
-              permute (argv + permute_from, num_nonopts, 1);
-              optind = permute_from + 1;
-              return EOF;
-            }
-          break;
-        case RETURN_IN_ORDER:
-          if (!is_option (argv[optind], only))
-            {
-              optarg = argv[optind++];
-              return (optopt = 1);
-            }
-          break;
-        case REQUIRE_ORDER:
-          if (!is_option (argv[optind], only))
-            return EOF;
-          break;
-        }
-    }
-  /* we've got an option, so parse it */
-
-  /* first, is it a long option? */
-  if (longopts != NULL
-      && (memcmp (argv[optind], "--", 2) == 0
-          || (only && argv[optind][0] == '+')) && optwhere == 1)
-    {
-      /* handle long options */
-      if (memcmp (argv[optind], "--", 2) == 0)
-        optwhere = 2;
-      longopt_match = -1;
-      possible_arg = strchr (argv[optind] + optwhere, '=');
-      if (possible_arg == NULL)
-        {
-          /* no =, so next argv might be arg */
-          match_chars = strlen (argv[optind]);
-          possible_arg = argv[optind] + match_chars;
-          match_chars = match_chars - optwhere;
-        }
-      else
-        match_chars = (possible_arg - argv[optind]) - optwhere;
-      for (optindex = 0; longopts[optindex].name != NULL; optindex++)
-        {
-          if (memcmp (argv[optind] + optwhere,
-                      longopts[optindex].name, match_chars) == 0)
-            {
-              /* do we have an exact match? */
-              if (match_chars == (unsigned) (strlen (longopts[optindex].name)))
-                {
-                  longopt_match = optindex;
-                  break;
-                }
-              /* do any characters match? */
-              else
-                {
-                  if (longopt_match < 0)
-                    longopt_match = optindex;
-                  else
-                    {
-                      /* we have ambiguous options */
-                      if (opterr)
-                        fprintf (stderr, "%s: option `%s' is ambiguous "
-                                 "(could be `--%s' or `--%s')\n",
-                                 argv[0],
-                                 argv[optind],
-                                 longopts[longopt_match].name,
-                                 longopts[optindex].name);
-                      return (optopt = '?');
-                    }
-                }
-            }
-        }
-      if (longopt_match >= 0)
-        has_arg = longopts[longopt_match].has_arg;
-    }
-  /* if we didn't find a long option, is it a short option? */
-  if (longopt_match < 0 && shortopts != NULL)
-    {
-      cp = strchr (shortopts, argv[optind][optwhere]);
-      if (cp == NULL)
-        {
-          /* couldn't find option in shortopts */
-          if (opterr)
-            fprintf (stderr,
-                     "%s: invalid option -- `-%c'\n",
-                     argv[0], argv[optind][optwhere]);
-          optwhere++;
-          if (argv[optind][optwhere] == '\0')
-            {
-              optind++;
-              optwhere = 1;
-            }
-          return (optopt = '?');
-        }
-      has_arg = ((cp[1] == ':')
-                 ? ((cp[2] == ':') ? OPTIONAL_ARG : REQUIRED_ARG) : NO_ARG);
-      possible_arg = argv[optind] + optwhere + 1;
-      optopt = *cp;
-    }
-  /* get argument and reset optwhere */
-  arg_next = 0;
-  switch (has_arg)
-    {
-    case OPTIONAL_ARG:
-      if (*possible_arg == '=')
-        possible_arg++;
-      optarg = (*possible_arg != '\0') ? possible_arg : 0;
-      optwhere = 1;
-      break;
-    case REQUIRED_ARG:
-      if (*possible_arg == '=')
-        possible_arg++;
-      if (*possible_arg != '\0')
-        {
-          optarg = possible_arg;
-          optwhere = 1;
-        }
-      else if (optind + 1 >= argc)
-        {
-          if (opterr)
-            {
-              fprintf (stderr, "%s: argument required for option `", argv[0]);
-              if (longopt_match >= 0)
-                fprintf (stderr, "--%s'\n", longopts[longopt_match].name);
-              else
-                fprintf (stderr, "-%c'\n", *cp);
-            }
-          optind++;
-          return (optopt = ':');
-        }
-      else
-        {
-          optarg = argv[optind + 1];
-          arg_next = 1;
-          optwhere = 1;
-        }
-      break;
-    default:                    /* shouldn't happen */
-    case NO_ARG:
-      if (longopt_match < 0)
-        {
-          optwhere++;
-          if (argv[optind][optwhere] == '\0')
-            optwhere = 1;
-        }
-      else
-        optwhere = 1;
-      optarg = NULL;
-      break;
-    }
-
-  /* do we have to permute or otherwise modify optind? */
-  if (ordering == PERMUTE && optwhere == 1 && num_nonopts != 0)
-    {
-      permute (argv + permute_from, num_nonopts, 1 + arg_next);
-      optind = permute_from + 1 + arg_next;
-    }
-  else if (optwhere == 1)
-    optind = optind + 1 + arg_next;
-
-  /* finally return */
-  if (longopt_match >= 0)
-    {
-      if (longind != NULL)
-        *longind = longopt_match;
-      if (longopts[longopt_match].flag != NULL)
-        {
-          *(longopts[longopt_match].flag) = longopts[longopt_match].val;
-          return 0;
-        }
-      else
-        return longopts[longopt_match].val;
-    }
-  else
-    return optopt;
-}
-
-#if 0
-int
-getopt (int argc, char **argv, char *optstring)
-{
-  return getopt_internal (argc, argv, optstring, NULL, NULL, 0);
-}
-#endif
-
-int
-getopt_long (int argc, char **argv, const char *shortopts,
-             const GETOPT_LONG_OPTION_T * longopts, int *longind)
-{
-  return getopt_internal (argc, argv, shortopts, longopts, longind, 0);
-}
-
-int
-getopt_long_only (int argc, char **argv, const char *shortopts,
-                  const GETOPT_LONG_OPTION_T * longopts, int *longind)
-{
-  return getopt_internal (argc, argv, shortopts, longopts, longind, 1);
-}
-
-/* end of file GETOPT.C */
diff --git a/apps/systemlib/getopt_long.h b/apps/systemlib/getopt_long.h
deleted file mode 100644
index 61e8e76f3..000000000
--- a/apps/systemlib/getopt_long.h
+++ /dev/null
@@ -1,139 +0,0 @@
-/****************************************************************************
-
-getopt.h - Read command line options
-
-AUTHOR: Gregory Pietsch
-CREATED Thu Jan 09 22:37:00 1997
-
-DESCRIPTION:
-
-The getopt() function parses the command line arguments.  Its arguments argc
-and argv are the argument count and array as passed to the main() function
-on program invocation.  The argument optstring is a list of available option
-characters.  If such a character is followed by a colon (`:'), the option
-takes an argument, which is placed in optarg.  If such a character is
-followed by two colons, the option takes an optional argument, which is
-placed in optarg.  If the option does not take an argument, optarg is NULL.
-
-The external variable optind is the index of the next array element of argv
-to be processed; it communicates from one call to the next which element to
-process.
-
-The getopt_long() function works like getopt() except that it also accepts
-long options started by two dashes `--'.  If these take values, it is either
-in the form
-
---arg=value
-
- or
-
---arg value
-
-It takes the additional arguments longopts which is a pointer to the first
-element of an array of type GETOPT_LONG_OPTION_T, defined below.  The last
-element of the array has to be filled with NULL for the name field.
-
-The longind pointer points to the index of the current long option relative
-to longopts if it is non-NULL.
-
-The getopt() function returns the option character if the option was found
-successfully, `:' if there was a missing parameter for one of the options,
-`?' for an unknown option character, and EOF for the end of the option list.
-
-The getopt_long() function's return value is described below.
-
-The function getopt_long_only() is identical to getopt_long(), except that a
-plus sign `+' can introduce long options as well as `--'.
-
-Describe how to deal with options that follow non-option ARGV-elements.
-
-If the caller did not specify anything, the default is REQUIRE_ORDER if the
-environment variable POSIXLY_CORRECT is defined, PERMUTE otherwise.
-
-REQUIRE_ORDER means don't recognize them as options; stop option processing
-when the first non-option is seen.  This is what Unix does.  This mode of
-operation is selected by either setting the environment variable
-POSIXLY_CORRECT, or using `+' as the first character of the optstring
-parameter.
-
-PERMUTE is the default.  We permute the contents of ARGV as we scan, so that
-eventually all the non-options are at the end.  This allows options to be
-given in any order, even with programs that were not written to expect this.
-
-RETURN_IN_ORDER is an option available to programs that were written to
-expect options and other ARGV-elements in any order and that care about the
-ordering of the two.  We describe each non-option ARGV-element as if it were
-the argument of an option with character code 1.  Using `-' as the first
-character of the optstring parameter selects this mode of operation.
-
-The special argument `--' forces an end of option-scanning regardless of the
-value of `ordering'.  In the case of RETURN_IN_ORDER, only `--' can cause
-getopt() and friends to return EOF with optind != argc.
-
-COPYRIGHT NOTICE AND DISCLAIMER:
-
-Copyright (C) 1997 Gregory Pietsch
-
-This file and the accompanying getopt.c implementation file are hereby 
-placed in the public domain without restrictions.  Just give the author 
-credit, don't claim you wrote it or prevent anyone else from using it.
-
-Gregory Pietsch's current e-mail address:
-gpietsch@comcast.net
-****************************************************************************/
-
-#ifndef GETOPT_H
-#define GETOPT_H
-
-/* include files needed by this include file */
-
-/* macros defined by this include file */
-#define NO_ARG          0
-#define REQUIRED_ARG    1
-#define OPTIONAL_ARG    2
-
-/* types defined by this include file */
-
-/* GETOPT_LONG_OPTION_T: The type of long option */
-typedef struct GETOPT_LONG_OPTION_T
-{
-  char *name;                   /* the name of the long option */
-  int has_arg;                  /* one of the above macros */
-  int *flag;                    /* determines if getopt_long() returns a
-                                 * value for a long option; if it is
-                                 * non-NULL, 0 is returned as a function
-                                 * value and the value of val is stored in
-                                 * the area pointed to by flag.  Otherwise,
-                                 * val is returned. */
-  int val;                      /* determines the value to return if flag is
-                                 * NULL. */
-} GETOPT_LONG_OPTION_T;
-
-#ifdef __cplusplus
-extern "C"
-{
-#endif
-
-  /* externally-defined variables */
-  extern char *optarg;
-  extern int optind;
-  extern int opterr;
-  extern int optopt;
-
-  /* function prototypes */
-#if 0
-  int getopt (int argc, char **argv, char *optstring);
-#endif
-  __EXPORT int getopt_long (int argc, char **argv, const char *shortopts,
-                   const GETOPT_LONG_OPTION_T * longopts, int *longind);
-  __EXPORT int getopt_long_only (int argc, char **argv, const char *shortopts,
-                        const GETOPT_LONG_OPTION_T * longopts, int *longind);
-
-#ifdef __cplusplus
-};
-
-#endif
-
-#endif /* GETOPT_H */
-
-/* END OF FILE getopt.h */
diff --git a/apps/systemlib/hx_stream.c b/apps/systemlib/hx_stream.c
deleted file mode 100644
index 8d77f14a8..000000000
--- a/apps/systemlib/hx_stream.c
+++ /dev/null
@@ -1,250 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file hx_stream.c
- *
- * A simple serial line framing protocol based on HDLC
- * with 32-bit CRC protection.
- */
-
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-
-#include "perf_counter.h"
-
-#include "hx_stream.h"
-
-
-struct hx_stream {
-	uint8_t			buf[HX_STREAM_MAX_FRAME + 4];
-	unsigned		frame_bytes;
-	bool			escaped;
-	bool			txerror;
-
-	int			fd;
-	hx_stream_rx_callback	callback;
-	void			*callback_arg;
-
-	perf_counter_t		pc_tx_frames;
-	perf_counter_t		pc_rx_frames;
-	perf_counter_t		pc_rx_errors;
-};
-
-/*
- * Protocol magic numbers, straight out of HDLC.
- */
-#define FBO	0x7e	/**< Frame Boundary Octet */
-#define CEO	0x7c	/**< Control Escape Octet */
-
-static void	hx_tx_raw(hx_stream_t stream, uint8_t c);
-static void	hx_tx_raw(hx_stream_t stream, uint8_t c);
-static int	hx_rx_frame(hx_stream_t stream);
-
-static void
-hx_tx_raw(hx_stream_t stream, uint8_t c)
-{
-	if (write(stream->fd, &c, 1) != 1)
-		stream->txerror = true;
-}
-
-static void
-hx_tx_byte(hx_stream_t stream, uint8_t c)
-{
-	switch (c) {
-	case FBO:
-	case CEO:
-		hx_tx_raw(stream, CEO);
-		c ^= 0x20;
-		break;
-	}
-
-	hx_tx_raw(stream, c);
-}
-
-static int
-hx_rx_frame(hx_stream_t stream)
-{
-	union {
-		uint8_t	b[4];
-		uint32_t w;
-	} u;
-	unsigned length = stream->frame_bytes;
-
-	/* reset the stream */
-	stream->frame_bytes = 0;
-	stream->escaped = false;
-
-	/* not a real frame - too short */
-	if (length < 4) {
-		if (length > 1)
-			perf_count(stream->pc_rx_errors);
-
-		return 0;
-	}
-
-	length -= 4;
-
-	/* compute expected CRC */
-	u.w = crc32(&stream->buf[0], length);
-
-	/* compare computed and actual CRC */
-	for (unsigned i = 0; i < 4; i++) {
-		if (u.b[i] != stream->buf[length + i]) {
-			perf_count(stream->pc_rx_errors);
-			return 0;
-		}
-	}
-
-	/* frame is good */
-	perf_count(stream->pc_rx_frames);
-	stream->callback(stream->callback_arg, &stream->buf[0], length);
-	return 1;
-}
-
-hx_stream_t
-hx_stream_init(int fd,
-	       hx_stream_rx_callback callback,
-	       void *arg)
-{
-	hx_stream_t stream;
-
-	stream = (hx_stream_t)malloc(sizeof(struct hx_stream));
-
-	if (stream != NULL) {
-		memset(stream, 0, sizeof(struct hx_stream));
-		stream->fd = fd;
-		stream->callback = callback;
-		stream->callback_arg = arg;
-	}
-
-	return stream;
-}
-
-void
-hx_stream_free(hx_stream_t stream)
-{
-	/* free perf counters (OK if they are NULL) */
-	perf_free(stream->pc_tx_frames);
-	perf_free(stream->pc_rx_frames);
-	perf_free(stream->pc_rx_errors);
-
-	free(stream);
-}
-
-void
-hx_stream_set_counters(hx_stream_t stream,
-		       perf_counter_t tx_frames,
-		       perf_counter_t rx_frames,
-		       perf_counter_t rx_errors)
-{
-	stream->pc_tx_frames = tx_frames;
-	stream->pc_rx_frames = rx_frames;
-	stream->pc_rx_errors = rx_errors;
-}
-
-int
-hx_stream_send(hx_stream_t stream,
-	       const void *data,
-	       size_t count)
-{
-	union {
-		uint8_t	b[4];
-		uint32_t w;
-	} u;
-	const uint8_t *p = (const uint8_t *)data;
-	unsigned resid = count;
-
-	if (resid > HX_STREAM_MAX_FRAME)
-		return -EINVAL;
-
-	/* start the frame */
-	hx_tx_raw(stream, FBO);
-
-	/* transmit the data */
-	while (resid--)
-		hx_tx_byte(stream, *p++);
-
-	/* compute the CRC */
-	u.w = crc32(data, count);
-
-	/* send the CRC */
-	p = &u.b[0];
-	resid = 4;
-
-	while (resid--)
-		hx_tx_byte(stream, *p++);
-
-	/* and the trailing frame separator */
-	hx_tx_raw(stream, FBO);
-
-	/* check for transmit error */
-	if (stream->txerror) {
-		stream->txerror = false;
-		return -EIO;
-	}
-
-	perf_count(stream->pc_tx_frames);
-	return 0;
-}
-
-void
-hx_stream_rx(hx_stream_t stream, uint8_t c)
-{
-	/* frame end? */
-	if (c == FBO) {
-		hx_rx_frame(stream);
-		return;
-	}
-
-	/* escaped? */
-	if (stream->escaped) {
-		stream->escaped = false;
-		c ^= 0x20;
-
-	} else if (c == CEO) {
-		/* now escaped, ignore the byte */
-		stream->escaped = true;
-		return;
-	}
-
-	/* save for later */
-	if (stream->frame_bytes < sizeof(stream->buf))
-		stream->buf[stream->frame_bytes++] = c;
-}
diff --git a/apps/systemlib/hx_stream.h b/apps/systemlib/hx_stream.h
deleted file mode 100644
index 128689953..000000000
--- a/apps/systemlib/hx_stream.h
+++ /dev/null
@@ -1,122 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file hx_stream.h
- *
- * A simple serial line framing protocol based on HDLC
- * with 32-bit CRC protection.
- */
-
-#ifndef _SYSTEMLIB_HX_STREAM_H
-#define _SYSTEMLIB_HX_STREAM_H
-
-#include 
-
-#include "perf_counter.h"
-
-struct hx_stream;
-typedef struct hx_stream *hx_stream_t;
-
-#define HX_STREAM_MAX_FRAME	64
-
-typedef void (* hx_stream_rx_callback)(void *arg, const void *data, size_t length);
-
-__BEGIN_DECLS
-
-/**
- * Allocate a new hx_stream object.
- *
- * @param fd		The file handle over which the protocol will
- *			communicate.
- * @param callback	Called when a frame is received.
- * @param callback_arg	Passed to the callback.
- * @return		A handle to the stream, or NULL if memory could
- *			not be allocated.
- */
-__EXPORT extern hx_stream_t	hx_stream_init(int fd,
-		hx_stream_rx_callback callback,
-		void *arg);
-
-/**
- * Free a hx_stream object.
- *
- * @param stream	A handle returned from hx_stream_init.
- */
-__EXPORT extern void		hx_stream_free(hx_stream_t stream);
-
-/**
- * Set performance counters for the stream.
- *
- * Any counter may be set to NULL to disable counting that datum.
- *
- * @param tx_frames	Counter for transmitted frames.
- * @param rx_frames	Counter for received frames.
- * @param rx_errors	Counter for short and corrupt received frames.
- */
-__EXPORT extern void		hx_stream_set_counters(hx_stream_t stream,
-		perf_counter_t tx_frames,
-		perf_counter_t rx_frames,
-		perf_counter_t rx_errors);
-
-/**
- * Send a frame.
- *
- * This function will block until all frame bytes are sent if
- * the descriptor passed to hx_stream_init is marked blocking,
- * otherwise it will return -1 (but may transmit a
- * runt frame at the same time).
- *
- * @todo Handling of non-blocking streams needs to be better.
- *
- * @param stream	A handle returned from hx_stream_init.
- * @param data		Pointer to the data to send.
- * @param count		The number of bytes to send.
- * @return		Zero on success, -errno on error.
- */
-__EXPORT extern int		hx_stream_send(hx_stream_t stream,
-		const void *data,
-		size_t count);
-
-/**
- * Handle a byte from the stream.
- *
- * @param stream	A handle returned from hx_stream_init.
- * @param c		The character to process.
- */
-__EXPORT extern void		hx_stream_rx(hx_stream_t stream,
-		uint8_t c);
-
-__END_DECLS
-
-#endif
diff --git a/apps/systemlib/mixer/Makefile b/apps/systemlib/mixer/Makefile
deleted file mode 100644
index f8b02f194..000000000
--- a/apps/systemlib/mixer/Makefile
+++ /dev/null
@@ -1,39 +0,0 @@
-############################################################################
-#
-#   Copyright (C) 2012 PX4 Development Team. All rights reserved.
-#
-# Redistribution and use in source and binary forms, with or without
-# modification, are permitted provided that the following conditions
-# are met:
-#
-# 1. Redistributions of source code must retain the above copyright
-#    notice, this list of conditions and the following disclaimer.
-# 2. Redistributions in binary form must reproduce the above copyright
-#    notice, this list of conditions and the following disclaimer in
-#    the documentation and/or other materials provided with the
-#    distribution.
-# 3. Neither the name PX4 nor the names of its contributors may be
-#    used to endorse or promote products derived from this software
-#    without specific prior written permission.
-#
-# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-# "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-# LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-# FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
-# COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-# INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-# BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
-# OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
-# AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-# LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-# ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-# POSSIBILITY OF SUCH DAMAGE.
-#
-############################################################################
-
-#
-# mixer library
-#
-LIBNAME	= mixerlib
-
-include $(APPDIR)/mk/app.mk
diff --git a/apps/systemlib/mixer/mixer.cpp b/apps/systemlib/mixer/mixer.cpp
deleted file mode 100644
index df0dfe838..000000000
--- a/apps/systemlib/mixer/mixer.cpp
+++ /dev/null
@@ -1,152 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file mixer.cpp
- *
- * Programmable multi-channel mixer library.
- */
-
-#include 
-
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-
-#include "mixer.h"
-
-Mixer::Mixer(ControlCallback control_cb, uintptr_t cb_handle) :
-	_next(nullptr),
-	_control_cb(control_cb),
-	_cb_handle(cb_handle)
-{
-}
-
-float
-Mixer::get_control(uint8_t group, uint8_t index)
-{
-	float	value;
-
-	_control_cb(_cb_handle, group, index, value);
-
-	return value;
-}
-
-
-float
-Mixer::scale(const mixer_scaler_s &scaler, float input)
-{
-	float output;
-
-	if (input < 0.0f) {
-		output = (input * scaler.negative_scale) + scaler.offset;
-
-	} else {
-		output = (input * scaler.positive_scale) + scaler.offset;
-	}
-
-	if (output > scaler.max_output) {
-		output = scaler.max_output;
-
-	} else if (output < scaler.min_output) {
-		output = scaler.min_output;
-	}
-
-	return output;
-}
-
-int
-Mixer::scale_check(struct mixer_scaler_s &scaler)
-{
-	if (scaler.offset > 1.001f)
-		return 1;
-
-	if (scaler.offset < -1.001f)
-		return 2;
-
-	if (scaler.min_output > scaler.max_output)
-		return 3;
-
-	if (scaler.min_output < -1.001f)
-		return 4;
-
-	if (scaler.max_output > 1.001f)
-		return 5;
-
-	return 0;
-}
-
-/****************************************************************************/
-
-NullMixer::NullMixer() :
-	Mixer(nullptr, 0)
-{
-}
-
-unsigned
-NullMixer::mix(float *outputs, unsigned space)
-{
-	if (space > 0) {
-		*outputs = 0.0f;
-		return 1;
-	}
-
-	return 0;
-}
-
-void
-NullMixer::groups_required(uint32_t &groups)
-{
-
-}
-
-NullMixer *
-NullMixer::from_text(const char *buf, unsigned &buflen)
-{
-	NullMixer *nm = nullptr;
-
-	if ((buflen >= 2) && (buf[0] == 'Z') && (buf[1] == ':')) {
-		nm = new NullMixer;
-		buflen -= 2;
-	}
-
-	return nm;
-}
diff --git a/apps/systemlib/mixer/mixer.h b/apps/systemlib/mixer/mixer.h
deleted file mode 100644
index 40d37fce2..000000000
--- a/apps/systemlib/mixer/mixer.h
+++ /dev/null
@@ -1,499 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file mixer.h
- *
- * Generic, programmable, procedural control signal mixers.
- *
- * This library implements a generic mixer interface that can be used
- * by any driver or subsytem that wants to combine several control signals
- * into a single output.
- *
- * Terminology
- * ===========
- *
- * control value
- *	A mixer input value, typically provided by some controlling
- *	component of the system.
- *
- * control group
- * 	A collection of controls provided by a single controlling component.
- *
- * actuator
- *	The mixer output value.
- *
- *
- * Mixing basics
- * =============
- *
- * An actuator derives its value from the combination of one or more
- * control values. Each of the control values is scaled according to
- * the actuator's configuration and then combined to produce the
- * actuator value, which may then be further scaled to suit the specific
- * output type.
- *
- * Internally, all scaling is performed using floating point values.
- * Inputs and outputs are clamped to the range -1.0 to 1.0.
- *
- * control    control   control
- *    |          |         |
- *    v          v         v
- *  scale      scale     scale
- *    |          |         |
- *    |          v         |
- *    +-------> mix <------+
- *               |
- *             scale
- *               |
- *               v
- *              out
- *
- * Scaling
- * -------
- *
- * Each scaler allows the input value to be scaled independently for
- * inputs greater/less than zero. An offset can be applied to the output,
- * as well as lower and upper boundary constraints.
- * Negative scaling factors cause the output to be inverted (negative input
- * produces positive output).
- *
- * Scaler pseudocode:
- *
- * if (input < 0)
- *     output = (input * NEGATIVE_SCALE) + OFFSET
- * else
- *     output = (input * POSITIVE_SCALE) + OFFSET
- *
- * if (output < LOWER_LIMIT)
- *     output = LOWER_LIMIT
- * if (output > UPPER_LIMIT)
- *     output = UPPER_LIMIT
- *
- *
- * Mixing
- * ------
- *
- * Mixing behaviour varies based on the specific mixer class; each
- * mixer class describes its behaviour in more detail.
- *
- *
- * Controls
- * --------
- *
- * The precise assignment of controls may vary depending on the
- * application, but the following assignments should be used
- * when appropriate.  Some mixer classes have specific assumptions
- * about the assignment of controls.
- *
- * control | standard meaning
- * --------+-----------------------
- *     0   | roll
- *     1   | pitch
- *     2   | yaw
- *     3   | primary thrust
- */
-
-
-#ifndef _SYSTEMLIB_MIXER_MIXER_H
-#define _SYSTEMLIB_MIXER_MIXER_H value
-
-#include "drivers/drv_mixer.h"
-
-/**
- * Abstract class defining a mixer mixing zero or more inputs to
- * one or more outputs.
- */
-class __EXPORT Mixer
-{
-public:
-	/** next mixer in a list */
-	Mixer				*_next;
-
-	/**
-	 * Fetch a control value.
-	 *
-	 * @param handle		Token passed when the callback is registered.
-	 * @param control_group		The group to fetch the control from.
-	 * @param control_index		The group-relative index to fetch the control from.
-	 * @param control		The returned control
-	 * @return			Zero if the value was fetched, nonzero otherwise.
-	 */
-	typedef int	(* ControlCallback)(uintptr_t handle,
-					    uint8_t control_group,
-					    uint8_t control_index,
-					    float &control);
-
-	/**
-	 * Constructor.
-	 *
-	 * @param control_cb		Callback invoked when reading controls.
-	 */
-	Mixer(ControlCallback control_cb, uintptr_t cb_handle);
-	virtual ~Mixer() {};
-
-	/**
-	 * Perform the mixing function.
-	 *
-	 * @param outputs		Array into which mixed output(s) should be placed.
-	 * @param space			The number of available entries in the output array;
-	 * @return			The number of entries in the output array that were populated.
-	 */
-	virtual unsigned		mix(float *outputs, unsigned space) = 0;
-
-	/**
-	 * Analyses the mix configuration and updates a bitmask of groups
-	 * that are required.
-	 *
-	 * @param groups		A bitmask of groups (0-31) that the mixer requires.
-	 */
-	virtual void			groups_required(uint32_t &groups) = 0;
-
-protected:
-	/** client-supplied callback used when fetching control values */
-	ControlCallback			_control_cb;
-	uintptr_t			_cb_handle;
-
-	/**
-	 * Invoke the client callback to fetch a control value.
-	 *
-	 * @param group			Control group to fetch from.
-	 * @param index			Control index to fetch.
-	 * @return			The control value.
-	 */
-	float				get_control(uint8_t group, uint8_t index);
-
-	/**
-	 * Perform simpler linear scaling.
-	 *
-	 * @param scaler		The scaler configuration.
-	 * @param input			The value to be scaled.
-	 * @return			The scaled value.
-	 */
-	static float			scale(const mixer_scaler_s &scaler, float input);
-
-	/**
-	 * Validate a scaler
-	 *
-	 * @param scaler		The scaler to be validated.
-	 * @return			Zero if good, nonzero otherwise.
-	 */
-	static int			scale_check(struct mixer_scaler_s &scaler);
-
-private:
-};
-
-/**
- * Group of mixers, built up from single mixers and processed
- * in order when mixing.
- */
-class __EXPORT MixerGroup : public Mixer
-{
-public:
-	MixerGroup(ControlCallback control_cb, uintptr_t cb_handle);
-	~MixerGroup();
-
-	virtual unsigned		mix(float *outputs, unsigned space);
-	virtual void			groups_required(uint32_t &groups);
-
-	/**
-	 * Add a mixer to the group.
-	 *
-	 * @param mixer			The mixer to be added.
-	 */
-	void				add_mixer(Mixer *mixer);
-
-	/**
-	 * Remove all the mixers from the group.
-	 */
-	void				reset();
-
-	/**
-	 * Adds mixers to the group based on a text description in a buffer.
-	 *
-	 * Mixer definitions begin with a single capital letter and a colon.
-	 * The actual format of the mixer definition varies with the individual
-	 * mixers; they are summarised here, but see ROMFS/mixers/README for
-	 * more details.
-	 *
-	 * Null Mixer
-	 * ..........
-	 *
-	 * The null mixer definition has the form:
-	 *
-	 *   Z:
-	 *
-	 * Simple Mixer
-	 * ............
-	 *
-	 * A simple mixer definition begins with:
-	 *
-	 *   M: 
-	 *   O: <-ve scale> <+ve scale>   
-	 *
-	 * The definition continues with  entries describing the control
-	 * inputs and their scaling, in the form:
-	 *
-	 *   S:   <-ve scale> <+ve scale>   
-	 *
-	 * Multirotor Mixer
-	 * ................
-	 *
-	 * The multirotor mixer definition is a single line of the form:
-	 *
-	 * R:     
-	 *
-	 * @param buf			The mixer configuration buffer.
-	 * @param buflen		The length of the buffer, updated to reflect
-	 *				bytes as they are consumed.
-	 * @return			Zero on successful load, nonzero otherwise.
-	 */
-	int				load_from_buf(const char *buf, unsigned &buflen);
-
-private:
-	Mixer				*_first;	/**< linked list of mixers */
-};
-
-/**
- * Null mixer; returns zero.
- *
- * Used as a placeholder for output channels that are unassigned in groups.
- */
-class __EXPORT NullMixer : public Mixer
-{
-public:
-	NullMixer();
-	~NullMixer() {};
-
-	/**
-	 * Factory method.
-	 *
-	 * Given a pointer to a buffer containing a text description of the mixer,
-	 * returns a pointer to a new instance of the mixer.
-	 *
-	 * @param buf			Buffer containing a text description of
-	 *				the mixer.
-	 * @param buflen		Length of the buffer in bytes, adjusted
-	 *				to reflect the bytes consumed.
-	 * @return			A new NullMixer instance, or nullptr
-	 *				if the text format is bad.
-	 */
-	static NullMixer		*from_text(const char *buf, unsigned &buflen);
-
-	virtual unsigned		mix(float *outputs, unsigned space);
-	virtual void			groups_required(uint32_t &groups);
-};
-
-/**
- * Simple summing mixer.
- *
- * Collects zero or more inputs and mixes them to a single output.
- */
-class __EXPORT SimpleMixer : public Mixer
-{
-public:
-	/**
-	 * Constructor
-	 *
-	 * @param mixinfo		Mixer configuration.  The pointer passed
-	 *				becomes the property of the mixer and
-	 *				will be freed when the mixer is deleted.
-	 */
-	SimpleMixer(ControlCallback control_cb,
-		    uintptr_t cb_handle,
-		    mixer_simple_s *mixinfo);
-	~SimpleMixer();
-
-	/**
-	 * Factory method with full external configuration.
-	 *
-	 * Given a pointer to a buffer containing a text description of the mixer,
-	 * returns a pointer to a new instance of the mixer.
-	 *
-	 * @param control_cb		The callback to invoke when fetching a
-	 *				control value.
-	 * @param cb_handle		Handle passed to the control callback.
-	 * @param buf			Buffer containing a text description of
-	 *				the mixer.
-	 * @param buflen		Length of the buffer in bytes, adjusted
-	 *				to reflect the bytes consumed.
-	 * @return			A new SimpleMixer instance, or nullptr
-	 *				if the text format is bad.
-	 */
-	static SimpleMixer		*from_text(Mixer::ControlCallback control_cb,
-			uintptr_t cb_handle,
-			const char *buf,
-			unsigned &buflen);
-
-	/**
-	 * Factory method for PWM/PPM input to internal float representation.
-	 *
-	 * @param control_cb		The callback to invoke when fetching a
-	 *				control value.
-	 * @param cb_handle		Handle passed to the control callback.
-	 * @param input			The control index used when fetching the input.
-	 * @param min			The PWM/PPM value considered to be "minimum" (gives -1.0 out)
-	 * @param mid			The PWM/PPM value considered to be the midpoint (gives 0.0 out)
-	 * @param max			The PWM/PPM value considered to be "maximum" (gives 1.0 out)
-	 * @return			A new SimpleMixer instance, or nullptr if one could not be
-	 *				allocated.
-	 */
-	static SimpleMixer		*pwm_input(Mixer::ControlCallback control_cb,
-			uintptr_t cb_handle,
-			unsigned input,
-			uint16_t min,
-			uint16_t mid,
-			uint16_t max);
-
-	virtual unsigned		mix(float *outputs, unsigned space);
-	virtual void			groups_required(uint32_t &groups);
-
-	/**
-	 * Check that the mixer configuration as loaded is sensible.
-	 *
-	 * Note that this function will call control_cb, but only cares about
-	 * error returns, not the input value.
-	 *
-	 * @return			Zero if the mixer makes sense, nonzero otherwise.
-	 */
-	int				check();
-
-protected:
-
-private:
-	mixer_simple_s			*_info;
-
-	static int			parse_output_scaler(const char *buf, unsigned &buflen, mixer_scaler_s &scaler);
-	static int			parse_control_scaler(const char *buf,
-			unsigned &buflen,
-			mixer_scaler_s &scaler,
-			uint8_t &control_group,
-			uint8_t &control_index);
-};
-
-/**
- * Multi-rotor mixer for pre-defined vehicle geometries.
- *
- * Collects four inputs (roll, pitch, yaw, thrust) and mixes them to
- * a set of outputs based on the configured geometry.
- */
-class __EXPORT MultirotorMixer : public Mixer
-{
-public:
-	/**
-	 * Supported multirotor geometries.
-	 *
-	 * XXX add more
-	 */
-	enum Geometry {
-		QUAD_X = 0,	/**< quad in X configuration */
-		QUAD_PLUS,	/**< quad in + configuration */
-		QUAD_V,		/**< quad in V configuration */
-		HEX_X,		/**< hex in X configuration */
-		HEX_PLUS,	/**< hex in + configuration */
-		OCTA_X,
-		OCTA_PLUS,
-
-		MAX_GEOMETRY
-	};
-
-	/**
-	 * Precalculated rotor mix.
-	 */
-	struct Rotor {
-		float	roll_scale;	/**< scales roll for this rotor */
-		float	pitch_scale;	/**< scales pitch for this rotor */
-		float	yaw_scale;	/**< scales yaw for this rotor */
-	};
-
-	/**
-	 * Constructor.
-	 *
-	 * @param control_cb		Callback invoked to read inputs.
-	 * @param cb_handle		Passed to control_cb.
-	 * @param geometry		The selected geometry.
-	 * @param roll_scale		Scaling factor applied to roll inputs
-	 *				compared to thrust.
-	 * @param pitch_scale		Scaling factor applied to pitch inputs
-	 *				compared to thrust.
-	 * @param yaw_wcale		Scaling factor applied to yaw inputs compared
-	 *				to thrust.
-	 * @param deadband		Minumum rotor control output value; usually
-	 *				tuned to ensure that rotors never stall at the
-	 * 				low end of their control range.
-	 */
-	MultirotorMixer(ControlCallback control_cb,
-			uintptr_t cb_handle,
-			Geometry geometry,
-			float roll_scale,
-			float pitch_scale,
-			float yaw_scale,
-			float deadband);
-	~MultirotorMixer();
-
-	/**
-	 * Factory method.
-	 *
-	 * Given a pointer to a buffer containing a text description of the mixer,
-	 * returns a pointer to a new instance of the mixer.
-	 *
-	 * @param control_cb		The callback to invoke when fetching a
-	 *				control value.
-	 * @param cb_handle		Handle passed to the control callback.
-	 * @param buf			Buffer containing a text description of
-	 *				the mixer.
-	 * @param buflen		Length of the buffer in bytes, adjusted
-	 *				to reflect the bytes consumed.
-	 * @return			A new MultirotorMixer instance, or nullptr
-	 *				if the text format is bad.
-	 */
-	static MultirotorMixer		*from_text(Mixer::ControlCallback control_cb,
-			uintptr_t cb_handle,
-			const char *buf,
-			unsigned &buflen);
-
-	virtual unsigned		mix(float *outputs, unsigned space);
-	virtual void			groups_required(uint32_t &groups);
-
-private:
-	float				_roll_scale;
-	float				_pitch_scale;
-	float				_yaw_scale;
-	float				_deadband;
-
-	unsigned			_rotor_count;
-	const Rotor			*_rotors;
-
-};
-
-#endif
diff --git a/apps/systemlib/mixer/mixer_group.cpp b/apps/systemlib/mixer/mixer_group.cpp
deleted file mode 100644
index 1dbc512cd..000000000
--- a/apps/systemlib/mixer/mixer_group.cpp
+++ /dev/null
@@ -1,185 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file mixer_group.cpp
- *
- * Mixer collection.
- */
-
-#include 
-
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-
-#include "mixer.h"
-
-#define debug(fmt, args...)	do { } while(0)
-//#define debug(fmt, args...)	do { printf("[mixer] " fmt "\n", ##args); } while(0)
-//#include 
-//#define debug(fmt, args...)	lowsyslog(fmt "\n", ##args)
-
-MixerGroup::MixerGroup(ControlCallback control_cb, uintptr_t cb_handle) :
-	Mixer(control_cb, cb_handle),
-	_first(nullptr)
-{
-}
-
-MixerGroup::~MixerGroup()
-{
-	reset();
-}
-
-void
-MixerGroup::add_mixer(Mixer *mixer)
-{
-	Mixer **mpp;
-
-	mpp = &_first;
-
-	while (*mpp != nullptr)
-		mpp = &((*mpp)->_next);
-
-	*mpp = mixer;
-	mixer->_next = nullptr;
-}
-
-void
-MixerGroup::reset()
-{
-	Mixer *mixer;
-
-	/* discard sub-mixers */
-	while (_first != nullptr) {
-		mixer = _first;
-		_first = mixer->_next;
-		delete mixer;
-		mixer = nullptr;
-	}
-}
-
-unsigned
-MixerGroup::mix(float *outputs, unsigned space)
-{
-	Mixer	*mixer = _first;
-	unsigned index = 0;
-
-	while ((mixer != nullptr) && (index < space)) {
-		index += mixer->mix(outputs + index, space - index);
-		mixer = mixer->_next;
-	}
-
-	return index;
-}
-
-void
-MixerGroup::groups_required(uint32_t &groups)
-{
-	Mixer	*mixer = _first;
-
-	while (mixer != nullptr) {
-		mixer->groups_required(groups);
-		mixer = mixer->_next;
-	}
-}
-
-int
-MixerGroup::load_from_buf(const char *buf, unsigned &buflen)
-{
-	int ret = -1;
-	const char *end = buf + buflen;
-
-	/*
-	 * Loop until either we have emptied the buffer, or we have failed to
-	 * allocate something when we expected to.
-	 */
-	while (buflen > 0) {
-		Mixer *m = nullptr;
-		const char *p = end - buflen;
-		unsigned resid = buflen;
-
-		/*
-		 * Use the next character as a hint to decide which mixer class to construct.
-		 */
-		switch (*p) {
-		case 'Z':
-			m = NullMixer::from_text(p, resid);
-			break;
-
-		case 'M':
-			m = SimpleMixer::from_text(_control_cb, _cb_handle, p, resid);
-			break;
-
-		case 'R':
-			m = MultirotorMixer::from_text(_control_cb, _cb_handle, p, resid);
-			break;
-
-		default:
-			/* it's probably junk or whitespace, skip a byte and retry */
-			buflen--;
-			continue;
-		}
-
-		/*
-		 * If we constructed something, add it to the group.
-		 */
-		if (m != nullptr) {
-			add_mixer(m);
-
-			/* we constructed something */
-			ret = 0;
-
-			/* only adjust buflen if parsing was successful */
-			buflen = resid;
-		} else {
-
-			/*
-			 * There is data in the buffer that we expected to parse, but it didn't,
-			 * so give up for now.
-			 */
-			break;
-		}
-	}
-
-	/* nothing more in the buffer for us now */
-	return ret;
-}
diff --git a/apps/systemlib/mixer/mixer_multirotor.cpp b/apps/systemlib/mixer/mixer_multirotor.cpp
deleted file mode 100644
index d79811c0f..000000000
--- a/apps/systemlib/mixer/mixer_multirotor.cpp
+++ /dev/null
@@ -1,301 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file mixer_multirotor.cpp
- *
- * Multi-rotor mixers.
- */
-
-#include 
-
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-
-#include "mixer.h"
-
-#define debug(fmt, args...)	do { } while(0)
-//#define debug(fmt, args...)	do { printf("[mixer] " fmt "\n", ##args); } while(0)
-//#include 
-//#define debug(fmt, args...)	lowsyslog(fmt "\n", ##args)
-
-/*
- * Clockwise: 1
- * Counter-clockwise: -1
- */
-
-namespace
-{
-
-/*
- * These tables automatically generated by multi_tables - do not edit.
- */
-const MultirotorMixer::Rotor _config_quad_x[] = {
-	{ -0.707107,  0.707107,  1.00 },
-	{  0.707107, -0.707107,  1.00 },
-	{  0.707107,  0.707107, -1.00 },
-	{ -0.707107, -0.707107, -1.00 },
-};
-const MultirotorMixer::Rotor _config_quad_plus[] = {
-	{ -1.000000,  0.000000,  1.00 },
-	{  1.000000,  0.000000,  1.00 },
-	{  0.000000,  1.000000, -1.00 },
-	{ -0.000000, -1.000000, -1.00 },
-};
-const MultirotorMixer::Rotor _config_quad_v[] = {
-	{ -0.927184,  0.374607,  1.00 },
-	{  0.694658, -0.719340,  1.00 },
-	{  0.927184,  0.374607, -1.00 },
-	{ -0.694658, -0.719340, -1.00 },
-};
-const MultirotorMixer::Rotor _config_hex_x[] = {
-	{ -1.000000,  0.000000, -1.00 },
-	{  1.000000,  0.000000,  1.00 },
-	{  0.500000,  0.866025, -1.00 },
-	{ -0.500000, -0.866025,  1.00 },
-	{ -0.500000,  0.866025,  1.00 },
-	{  0.500000, -0.866025, -1.00 },
-};
-const MultirotorMixer::Rotor _config_hex_plus[] = {
-	{  0.000000,  1.000000, -1.00 },
-	{ -0.000000, -1.000000,  1.00 },
-	{  0.866025, -0.500000, -1.00 },
-	{ -0.866025,  0.500000,  1.00 },
-	{  0.866025,  0.500000,  1.00 },
-	{ -0.866025, -0.500000, -1.00 },
-};
-const MultirotorMixer::Rotor _config_octa_x[] = {
-	{ -0.382683,  0.923880, -1.00 },
-	{  0.382683, -0.923880, -1.00 },
-	{ -0.923880,  0.382683,  1.00 },
-	{ -0.382683, -0.923880,  1.00 },
-	{  0.382683,  0.923880,  1.00 },
-	{  0.923880, -0.382683,  1.00 },
-	{  0.923880,  0.382683, -1.00 },
-	{ -0.923880, -0.382683, -1.00 },
-};
-const MultirotorMixer::Rotor _config_octa_plus[] = {
-	{  0.000000,  1.000000, -1.00 },
-	{ -0.000000, -1.000000, -1.00 },
-	{ -0.707107,  0.707107,  1.00 },
-	{ -0.707107, -0.707107,  1.00 },
-	{  0.707107,  0.707107,  1.00 },
-	{  0.707107, -0.707107,  1.00 },
-	{  1.000000,  0.000000, -1.00 },
-	{ -1.000000,  0.000000, -1.00 },
-};
-const MultirotorMixer::Rotor *_config_index[MultirotorMixer::Geometry::MAX_GEOMETRY] = {
-	&_config_quad_x[0],
-	&_config_quad_plus[0],
-	&_config_quad_v[0],
-	&_config_hex_x[0],
-	&_config_hex_plus[0],
-	&_config_octa_x[0],
-	&_config_octa_plus[0],
-};
-const unsigned _config_rotor_count[MultirotorMixer::Geometry::MAX_GEOMETRY] = {
-	4, /* quad_x */
-	4, /* quad_plus */
-	4, /* quad_v */
-	6, /* hex_x */
-	6, /* hex_plus */
-	8, /* octa_x */
-	8, /* octa_plus */
-};
-
-}
-
-MultirotorMixer::MultirotorMixer(ControlCallback control_cb,
-				 uintptr_t cb_handle,
-				 Geometry geometry,
-				 float roll_scale,
-				 float pitch_scale,
-				 float yaw_scale,
-				 float deadband) :
-	Mixer(control_cb, cb_handle),
-	_roll_scale(roll_scale),
-	_pitch_scale(pitch_scale),
-	_yaw_scale(yaw_scale),
-	_deadband(-1.0f + deadband),	/* shift to output range here to avoid runtime calculation */
-	_rotor_count(_config_rotor_count[geometry]),
-	_rotors(_config_index[geometry])
-{
-}
-
-MultirotorMixer::~MultirotorMixer()
-{
-}
-
-MultirotorMixer *
-MultirotorMixer::from_text(Mixer::ControlCallback control_cb, uintptr_t cb_handle, const char *buf, unsigned &buflen)
-{
-	MultirotorMixer::Geometry geometry;
-	char geomname[8];
-	int s[4];
-	int used;
-
-	if (sscanf(buf, "R: %s %d %d %d %d%n", geomname, &s[0], &s[1], &s[2], &s[3], &used) != 5) {
-		debug("multirotor parse failed on '%s'", buf);
-		return nullptr;
-	}
-
-	if (used > (int)buflen) {
-		debug("multirotor spec used %d of %u", used, buflen);
-		return nullptr;
-	}
-
-	buflen -= used;
-
-	if (!strcmp(geomname, "4+")) {
-		geometry = MultirotorMixer::QUAD_PLUS;
-
-	} else if (!strcmp(geomname, "4x")) {
-		geometry = MultirotorMixer::QUAD_X;
-
-	} else if (!strcmp(geomname, "4v")) {
-		geometry = MultirotorMixer::QUAD_V;
-
-	} else if (!strcmp(geomname, "6+")) {
-		geometry = MultirotorMixer::HEX_PLUS;
-
-	} else if (!strcmp(geomname, "6x")) {
-		geometry = MultirotorMixer::HEX_X;
-
-	} else if (!strcmp(geomname, "8+")) {
-		geometry = MultirotorMixer::OCTA_PLUS;
-
-	} else if (!strcmp(geomname, "8x")) {
-		geometry = MultirotorMixer::OCTA_X;
-
-	} else {
-		debug("unrecognised geometry '%s'", geomname);
-		return nullptr;
-	}
-
-	debug("adding multirotor mixer '%s'", geomname);
-
-	return new MultirotorMixer(
-		       control_cb,
-		       cb_handle,
-		       geometry,
-		       s[0] / 10000.0f,
-		       s[1] / 10000.0f,
-		       s[2] / 10000.0f,
-		       s[3] / 10000.0f);
-}
-
-unsigned
-MultirotorMixer::mix(float *outputs, unsigned space)
-{
-	float		roll    = get_control(0, 0) * _roll_scale;
-	//lowsyslog("roll: %d, get_control0: %d, %d\n", (int)(roll), (int)(get_control(0, 0)), (int)(_roll_scale));
-	float		pitch   = get_control(0, 1) * _pitch_scale;
-	float		yaw     = get_control(0, 2) * _yaw_scale;
-	float		thrust  = get_control(0, 3);
-	//lowsyslog("thrust: %d, get_control3: %d\n", (int)(thrust), (int)(get_control(0, 3)));
-	float		max     = 0.0f;
-	float		fixup_scale;
-
-	/* use an output factor to prevent too strong control signals at low throttle */
-	float min_thrust = 0.05f;
-	float max_thrust = 1.0f;
-	float startpoint_full_control = 0.40f;
-	float output_factor;
-
-	/* keep roll, pitch and yaw control to 0 below min thrust */
-	if (thrust <= min_thrust) {
-		output_factor = 0.0f;
-		/* linearly increase the output factor from 0 to 1 between min_thrust and startpoint_full_control */
-
-	} else if (thrust < startpoint_full_control && thrust > min_thrust) {
-		output_factor = (thrust / max_thrust) / (startpoint_full_control - min_thrust);
-		/* and then stay at full control */
-
-	} else {
-		output_factor = max_thrust;
-	}
-
-	roll *= output_factor;
-	pitch *= output_factor;
-	yaw *= output_factor;
-
-
-	/* perform initial mix pass yielding un-bounded outputs */
-	for (unsigned i = 0; i < _rotor_count; i++) {
-		float tmp = roll  * _rotors[i].roll_scale +
-			    pitch * _rotors[i].pitch_scale +
-			    yaw   * _rotors[i].yaw_scale +
-			    thrust;
-
-		if (tmp > max)
-			max = tmp;
-
-		outputs[i] = tmp;
-	}
-
-	/* scale values into the -1.0 - 1.0 range */
-	if (max > 1.0f) {
-		fixup_scale = 2.0f / max;
-
-	} else {
-		fixup_scale = 2.0f;
-	}
-
-	for (unsigned i = 0; i < _rotor_count; i++)
-		outputs[i] = -1.0f + (outputs[i] * fixup_scale);
-
-	/* ensure outputs are out of the deadband */
-	for (unsigned i = 0; i < _rotor_count; i++)
-		if (outputs[i] < _deadband)
-			outputs[i] = _deadband;
-
-	return _rotor_count;
-}
-
-void
-MultirotorMixer::groups_required(uint32_t &groups)
-{
-	/* XXX for now, hardcoded to indexes 0-3 in control group zero */
-	groups |= (1 << 0);
-}
-
diff --git a/apps/systemlib/mixer/mixer_simple.cpp b/apps/systemlib/mixer/mixer_simple.cpp
deleted file mode 100644
index 07dc5f37f..000000000
--- a/apps/systemlib/mixer/mixer_simple.cpp
+++ /dev/null
@@ -1,334 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file mixer_simple.cpp
- *
- * Simple summing mixer.
- */
-
-#include 
-
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-
-#include "mixer.h"
-
-#define debug(fmt, args...)	do { } while(0)
-//#define debug(fmt, args...)	do { printf("[mixer] " fmt "\n", ##args); } while(0)
-
-SimpleMixer::SimpleMixer(ControlCallback control_cb,
-			 uintptr_t cb_handle,
-			 mixer_simple_s *mixinfo) :
-	Mixer(control_cb, cb_handle),
-	_info(mixinfo)
-{
-}
-
-SimpleMixer::~SimpleMixer()
-{
-	if (_info != nullptr)
-		free(_info);
-}
-
-static const char *
-findtag(const char *buf, unsigned &buflen, char tag)
-{
-	while (buflen >= 2) {
-		if ((buf[0] == tag) && (buf[1] == ':'))
-			return buf;
-		buf++;
-		buflen--;
-	}
-	return nullptr;
-}
-
-static void
-skipline(const char *buf, unsigned &buflen)
-{
-	const char *p;
-
-	/* if we can find a CR or NL in the buffer, skip up to it */
-	if ((p = (const char *)memchr(buf, '\r', buflen)) || (p = (const char *)memchr(buf, '\n', buflen)))
-		buflen -= (p - buf);
-}
-
-int
-SimpleMixer::parse_output_scaler(const char *buf, unsigned &buflen, mixer_scaler_s &scaler)
-{
-	int ret;
-	int s[5];
-	
-	buf = findtag(buf, buflen, 'O');
-	if ((buf == nullptr) || (buflen < 12))
-		return -1;
-
-	if ((ret = sscanf(buf, "O: %d %d %d %d %d",
-			  &s[0], &s[1], &s[2], &s[3], &s[4])) != 5) {
-		debug("scaler parse failed on '%s' (got %d)", buf, ret);
-		return -1;
-	}
-	skipline(buf, buflen);
-
-	scaler.negative_scale	= s[0] / 10000.0f;
-	scaler.positive_scale	= s[1] / 10000.0f;
-	scaler.offset		= s[2] / 10000.0f;
-	scaler.min_output	= s[3] / 10000.0f;
-	scaler.max_output	= s[4] / 10000.0f;
-
-	return 0;
-}
-
-int
-SimpleMixer::parse_control_scaler(const char *buf, unsigned &buflen, mixer_scaler_s &scaler, uint8_t &control_group, uint8_t &control_index)
-{
-	unsigned u[2];
-	int s[5];
-
-	buf = findtag(buf, buflen, 'S');
-	if ((buf == nullptr) || (buflen < 16))
-		return -1;
-
-	if (sscanf(buf, "S: %u %u %d %d %d %d %d",
-		   &u[0], &u[1], &s[0], &s[1], &s[2], &s[3], &s[4]) != 7) {
-		debug("control parse failed on '%s'", buf);
-		return -1;
-	}
-	skipline(buf, buflen);
-
-	control_group		= u[0];
-	control_index		= u[1];
-	scaler.negative_scale	= s[0] / 10000.0f;
-	scaler.positive_scale	= s[1] / 10000.0f;
-	scaler.offset		= s[2] / 10000.0f;
-	scaler.min_output	= s[3] / 10000.0f;
-	scaler.max_output	= s[4] / 10000.0f;
-
-	return 0;
-}
-
-SimpleMixer *
-SimpleMixer::from_text(Mixer::ControlCallback control_cb, uintptr_t cb_handle, const char *buf, unsigned &buflen)
-{
-	SimpleMixer *sm = nullptr;
-	mixer_simple_s *mixinfo = nullptr;
-	unsigned inputs;
-	int used;
-	const char *end = buf + buflen;
-
-	/* get the base info for the mixer */
-	if (sscanf(buf, "M: %u%n", &inputs, &used) != 1) {
-		debug("simple parse failed on '%s'", buf);
-		goto out;
-	}
-
-	buflen -= used;
-
-	mixinfo = (mixer_simple_s *)malloc(MIXER_SIMPLE_SIZE(inputs));
-
-	if (mixinfo == nullptr) {
-		debug("could not allocate memory for mixer info");
-		goto out;
-	}
-
-	mixinfo->control_count = inputs;
-
-	if (parse_output_scaler(end - buflen, buflen, mixinfo->output_scaler))
-		goto out;
-
-	for (unsigned i = 0; i < inputs; i++) {
-		if (parse_control_scaler(end - buflen, buflen,
-					 mixinfo->controls[i].scaler,
-					 mixinfo->controls[i].control_group,
-					 mixinfo->controls[i].control_index))
-			goto out;
-	}
-
-	sm = new SimpleMixer(control_cb, cb_handle, mixinfo);
-
-	if (sm != nullptr) {
-		mixinfo = nullptr;
-		debug("loaded mixer with %d inputs", inputs);
-
-	} else {
-		debug("could not allocate memory for mixer");
-	}
-
-out:
-
-	if (mixinfo != nullptr)
-		free(mixinfo);
-
-	return sm;
-}
-
-SimpleMixer *
-SimpleMixer::pwm_input(Mixer::ControlCallback control_cb, uintptr_t cb_handle, unsigned input, uint16_t min, uint16_t mid, uint16_t max)
-{
-	SimpleMixer *sm = nullptr;
-	mixer_simple_s *mixinfo = nullptr;
-
-	mixinfo = (mixer_simple_s *)malloc(MIXER_SIMPLE_SIZE(1));
-
-	if (mixinfo == nullptr) {
-		debug("could not allocate memory for mixer info");
-		goto out;
-	}
-
-	mixinfo->control_count = 1;
-
-	/*
-	 * Always pull from group 0, with the input value giving the channel.
-	 */
-	mixinfo->controls[0].control_group = 0;
-	mixinfo->controls[0].control_index = input;
-
-	/*
-	 * Conversion uses both the input and output side of the mixer.
-	 *
-	 * The input side is used to slide the control value such that the min argument
-	 * results in a value of zero.
-	 *
-	 * The output side is used to apply the scaling for the min/max values so that
-	 * the resulting output is a -1.0 ... 1.0 value for the min...max range.
-	 */
-	mixinfo->controls[0].scaler.negative_scale = 1.0f;
-	mixinfo->controls[0].scaler.positive_scale = 1.0f;
-	mixinfo->controls[0].scaler.offset = -mid;
-	mixinfo->controls[0].scaler.min_output = -(mid - min);
-	mixinfo->controls[0].scaler.max_output = (max - mid);
-
-	mixinfo->output_scaler.negative_scale = 500.0f / (mid - min);
-	mixinfo->output_scaler.positive_scale = 500.0f / (max - mid);
-	mixinfo->output_scaler.offset = 0.0f;
-	mixinfo->output_scaler.min_output = -1.0f;
-	mixinfo->output_scaler.max_output = 1.0f;
-
-	sm = new SimpleMixer(control_cb, cb_handle, mixinfo);
-
-	if (sm != nullptr) {
-		mixinfo = nullptr;
-		debug("PWM input mixer for %d", input);
-
-	} else {
-		debug("could not allocate memory for PWM input mixer");
-	}
-
-out:
-
-	if (mixinfo != nullptr)
-		free(mixinfo);
-
-	return sm;
-}
-
-unsigned
-SimpleMixer::mix(float *outputs, unsigned space)
-{
-	float		sum = 0.0f;
-
-	if (_info == nullptr)
-		return 0;
-
-	if (space < 1)
-		return 0;
-
-	for (unsigned i = 0; i < _info->control_count; i++) {
-		float input;
-
-		_control_cb(_cb_handle,
-			    _info->controls[i].control_group,
-			    _info->controls[i].control_index,
-			    input);
-
-		sum += scale(_info->controls[i].scaler, input);
-	}
-
-	*outputs = scale(_info->output_scaler, sum);
-	return 1;
-}
-
-void
-SimpleMixer::groups_required(uint32_t &groups)
-{
-	for (unsigned i = 0; i < _info->control_count; i++)
-		groups |= 1 << _info->controls[i].control_group;
-}
-
-int
-SimpleMixer::check()
-{
-	int ret;
-	float junk;
-
-	/* sanity that presumes that a mixer includes a control no more than once */
-	/* max of 32 groups due to groups_required API */
-	if (_info->control_count > 32)
-		return -2;
-
-	/* validate the output scaler */
-	ret = scale_check(_info->output_scaler);
-
-	if (ret != 0)
-		return ret;
-
-	/* validate input scalers */
-	for (unsigned i = 0; i < _info->control_count; i++) {
-
-		/* verify that we can fetch the control */
-		if (_control_cb(_cb_handle,
-				_info->controls[i].control_group,
-				_info->controls[i].control_index,
-				junk) != 0) {
-			return -3;
-		}
-
-		/* validate the scaler */
-		ret = scale_check(_info->controls[i].scaler);
-
-		if (ret != 0)
-			return (10 * i + ret);
-	}
-
-	return 0;
-}
diff --git a/apps/systemlib/mixer/multi_tables b/apps/systemlib/mixer/multi_tables
deleted file mode 100755
index 19a8239a6..000000000
--- a/apps/systemlib/mixer/multi_tables
+++ /dev/null
@@ -1,100 +0,0 @@
-#!/usr/bin/tclsh
-#
-# Generate multirotor mixer scale tables compatible with the ArduCopter layout
-#
-
-proc rad {a} { expr ($a / 360.0) * 2 * acos(-1) }
-proc rcos {a} { expr cos([rad $a])}
-
-set quad_x {
-	  45 CCW
-	-135 CCW
-	 -45 CW
-	 135 CW
-}
-
-set quad_plus {
-	  90 CCW
-	 -90 CCW
-	   0 CW
-	 180 CW
-}
-
-set quad_v {
-	  68 CCW
-	-136 CCW
-	 -68 CW
-	 136 CW
-}
-
-set hex_x {
-	  90 CW
-	 -90 CCW
-	 -30 CW
-	 150 CCW
-	  30 CCW
-	-150 CW
-}
-
-set hex_plus {
-	   0 CW
-	 180 CCW
-	-120 CW
-	  60 CCW
-	 -60 CCW
-	 120 CW
-}
-
-set octa_x {
-	  22.5 CW
-	-157.5 CW
-	  67.5 CCW
-	 157.5 CCW
-	 -22.5 CCW
-	-112.5 CCW
-	 -67.5 CW
-	 112.5 CW
-}
-
-set octa_plus {
-	   0 CW
-	 180 CW
-	  45 CCW
-	 135 CCW
-	 -45 CCW
-	-135 CCW
-	 -90 CW
-	  90 CW
-}
-
-set tables {quad_x quad_plus quad_v hex_x hex_plus octa_x octa_plus}
-
-proc factors {a d} { puts [format "\t{ %9.6f, %9.6f, %5.2f }," [rcos [expr $a + 90]] [rcos $a] [expr -$d]]}
-
-foreach table $tables {
-	puts [format "const MultirotorMixer::Rotor _config_%s\[\] = {" $table]
-
-	upvar #0 $table angles
-	foreach {angle dir} $angles {
-		if {$dir == "CW"} {
-			set dd 1.0
-		} else {
-			set dd -1.0
-		}
-		factors $angle $dd
-	}
-	puts "};"
-}
-
-puts "const MultirotorMixer::Rotor *_config_index\[MultirotorMixer::Geometry::MAX_GEOMETRY\] = {"
-foreach table $tables {
-	puts [format "\t&_config_%s\[0\]," $table]
-}
-puts "};"
-
-puts "const unsigned _config_rotor_count\[MultirotorMixer::Geometry::MAX_GEOMETRY\] = {"
-foreach table $tables {
-	upvar #0 $table angles
-	puts [format "\t%u, /* %s */" [expr [llength $angles] / 2] $table]
-}
-puts "};"
diff --git a/apps/systemlib/param/param.c b/apps/systemlib/param/param.c
deleted file mode 100644
index 8073570d1..000000000
--- a/apps/systemlib/param/param.c
+++ /dev/null
@@ -1,805 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file param.c
- *
- * Global parameter store.
- *
- * Note that it might make sense to convert this into a driver.  That would
- * offer some interesting options regarding state for e.g. ORB advertisements
- * and background parameter saving.
- */
-
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-
-#include 
-
-#include 
-
-#include "systemlib/param/param.h"
-#include "systemlib/uthash/utarray.h"
-#include "systemlib/bson/tinybson.h"
-
-#include "uORB/uORB.h"
-#include "uORB/topics/parameter_update.h"
-
-#if 1
-# define debug(fmt, args...)		do { warnx(fmt, ##args); } while(0)
-#else
-# define debug(fmt, args...)		do { } while(0)
-#endif
-
-/**
- * Array of static parameter info.
- */
-extern char __param_start, __param_end;
-static const struct param_info_s	*param_info_base = (struct param_info_s *) &__param_start;
-static const struct param_info_s	*param_info_limit = (struct param_info_s *) &__param_end;
-#define	param_info_count		((unsigned)(param_info_limit - param_info_base))
-
-/**
- * Storage for modified parameters.
- */
-struct param_wbuf_s {
-	param_t			param;
-	union param_value_u	val;
-	bool			unsaved;
-};
-
-/** flexible array holding modified parameter values */
-UT_array	*param_values;
-
-/** array info for the modified parameters array */
-const UT_icd	param_icd = {sizeof(struct param_wbuf_s), NULL, NULL, NULL};
-
-/** parameter update topic */
-ORB_DEFINE(parameter_update, struct parameter_update_s);
-
-/** parameter update topic handle */
-static orb_advert_t param_topic = -1;
-
-/** lock the parameter store */
-static void
-param_lock(void)
-{
-	/* XXX */
-}
-
-/** unlock the parameter store */
-static void
-param_unlock(void)
-{
-	/* XXX */
-}
-
-/** assert that the parameter store is locked */
-static void
-param_assert_locked(void)
-{
-	/* XXX */
-}
-
-/**
- * Test whether a param_t is value.
- *
- * @param param			The parameter handle to test.
- * @return			True if the handle is valid.
- */
-static bool
-handle_in_range(param_t param)
-{
-	return (param < param_info_count);
-}
-
-/**
- * Compare two modifid parameter structures to determine ordering.
- *
- * This function is suitable for passing to qsort or bsearch.
- */
-static int
-param_compare_values(const void *a, const void *b)
-{
-	struct param_wbuf_s *pa = (struct param_wbuf_s *)a;
-	struct param_wbuf_s *pb = (struct param_wbuf_s *)b;
-
-	if (pa->param < pb->param)
-		return -1;
-
-	if (pa->param > pb->param)
-		return 1;
-
-	return 0;
-}
-
-/**
- * Locate the modified parameter structure for a parameter, if it exists.
- *
- * @param param			The parameter being searched.
- * @return			The structure holding the modified value, or
- *				NULL if the parameter has not been modified.
- */
-static struct param_wbuf_s *
-param_find_changed(param_t param) {
-	struct param_wbuf_s	*s = NULL;
-
-	param_assert_locked();
-
-	if (param_values != NULL) {
-#if 0	/* utarray_find requires bsearch, not available */
-		struct param_wbuf_s key;
-		key.param = param;
-		s = utarray_find(param_values, &key, param_compare_values);
-#else
-
-		while ((s = (struct param_wbuf_s *)utarray_next(param_values, s)) != NULL) {
-			if (s->param == param)
-				break;
-		}
-
-#endif
-	}
-
-	return s;
-}
-
-static void
-param_notify_changes(void)
-{
-	struct parameter_update_s pup = { .timestamp = hrt_absolute_time() };
-
-	/*
-	 * If we don't have a handle to our topic, create one now; otherwise
-	 * just publish.
-	 */
-	if (param_topic == -1) {
-		param_topic = orb_advertise(ORB_ID(parameter_update), &pup);
-
-	} else {
-		orb_publish(ORB_ID(parameter_update), param_topic, &pup);
-	}
-}
-
-param_t
-param_find(const char *name)
-{
-	param_t param;
-
-	/* perform a linear search of the known parameters */
-	for (param = 0; handle_in_range(param); param++) {
-		if (!strcmp(param_info_base[param].name, name))
-			return param;
-	}
-
-	/* not found */
-	return PARAM_INVALID;
-}
-
-unsigned
-param_count(void)
-{
-	return param_info_count;
-}
-
-param_t
-param_for_index(unsigned index)
-{
-	if (index < param_info_count)
-		return (param_t)index;
-
-	return PARAM_INVALID;
-}
-
-int
-param_get_index(param_t param)
-{
-	if (handle_in_range(param))
-		return (unsigned)param;
-
-	return -1;
-}
-
-const char *
-param_name(param_t param)
-{
-	if (handle_in_range(param))
-		return param_info_base[param].name;
-
-	return NULL;
-}
-
-bool
-param_value_is_default(param_t param)
-{
-	return param_find_changed(param) ? false : true;
-}
-
-bool
-param_value_unsaved(param_t param)
-{
-	static struct param_wbuf_s *s;
-
-	s = param_find_changed(param);
-
-	if (s && s->unsaved)
-		return true;
-
-	return false;
-}
-
-enum param_type_e
-param_type(param_t param)
-{
-	if (handle_in_range(param))
-		return param_info_base[param].type;
-
-	return PARAM_TYPE_UNKNOWN;
-}
-
-size_t
-param_size(param_t param)
-{
-	if (handle_in_range(param)) {
-		switch (param_type(param)) {
-		case PARAM_TYPE_INT32:
-		case PARAM_TYPE_FLOAT:
-			return 4;
-
-		case PARAM_TYPE_STRUCT ... PARAM_TYPE_STRUCT_MAX:
-			/* decode structure size from type value */
-			return param_type(param) - PARAM_TYPE_STRUCT;
-
-		default:
-			return 0;
-		}
-	}
-
-	return 0;
-}
-
-/**
- * Obtain a pointer to the storage allocated for a parameter.
- *
- * @param param			The parameter whose storage is sought.
- * @return			A pointer to the parameter value, or NULL
- *				if the parameter does not exist.
- */
-static const void *
-param_get_value_ptr(param_t param)
-{
-	const void *result = NULL;
-
-	param_assert_locked();
-
-	if (handle_in_range(param)) {
-
-		const union param_value_u *v;
-
-		/* work out whether we're fetching the default or a written value */
-		struct param_wbuf_s *s = param_find_changed(param);
-
-		if (s != NULL) {
-			v = &s->val;
-
-		} else {
-			v = ¶m_info_base[param].val;
-		}
-
-		if (param_type(param) == PARAM_TYPE_STRUCT) {
-			result = v->p;
-
-		} else {
-			result = v;
-		}
-	}
-
-	return result;
-}
-
-int
-param_get(param_t param, void *val)
-{
-	int result = -1;
-
-	param_lock();
-
-	const void *v = param_get_value_ptr(param);
-
-	if (val != NULL) {
-		memcpy(val, v, param_size(param));
-		result = 0;
-	}
-
-	param_unlock();
-
-	return result;
-}
-
-static int
-param_set_internal(param_t param, const void *val, bool mark_saved)
-{
-	int result = -1;
-	bool params_changed = false;
-
-	param_lock();
-
-	if (param_values == NULL)
-		utarray_new(param_values, ¶m_icd);
-
-	if (param_values == NULL) {
-		debug("failed to allocate modified values array");
-		goto out;
-	}
-
-	if (handle_in_range(param)) {
-
-		struct param_wbuf_s *s = param_find_changed(param);
-
-		if (s == NULL) {
-
-			/* construct a new parameter */
-			struct param_wbuf_s buf = {
-				.param = param,
-				.val.p = NULL,
-				.unsaved = false
-			};
-
-			/* add it to the array and sort */
-			utarray_push_back(param_values, &buf);
-			utarray_sort(param_values, param_compare_values);
-
-			/* find it after sorting */
-			s = param_find_changed(param);
-		}
-
-		/* update the changed value */
-		switch (param_type(param)) {
-		case PARAM_TYPE_INT32:
-			s->val.i = *(int32_t *)val;
-			break;
-
-		case PARAM_TYPE_FLOAT:
-			s->val.f = *(float *)val;
-			break;
-
-		case PARAM_TYPE_STRUCT ... PARAM_TYPE_STRUCT_MAX:
-			if (s->val.p == NULL) {
-				s->val.p = malloc(param_size(param));
-
-				if (s->val.p == NULL) {
-					debug("failed to allocate parameter storage");
-					goto out;
-				}
-			}
-
-			memcpy(s->val.p, val, param_size(param));
-			break;
-
-		default:
-			goto out;
-		}
-
-		s->unsaved = !mark_saved;
-		params_changed = true;
-		result = 0;
-	}
-
-out:
-	param_unlock();
-
-	/*
-	 * If we set something, now that we have unlocked, go ahead and advertise that
-	 * a thing has been set.
-	 */
-	if (params_changed)
-		param_notify_changes();
-
-	return result;
-}
-
-int
-param_set(param_t param, const void *val)
-{
-	return param_set_internal(param, val, false);
-}
-
-void
-param_reset(param_t param)
-{
-	struct param_wbuf_s *s = NULL;
-
-	param_lock();
-
-	if (handle_in_range(param)) {
-
-		/* look for a saved value */
-		s = param_find_changed(param);
-
-		/* if we found one, erase it */
-		if (s != NULL) {
-			int pos = utarray_eltidx(param_values, s);
-			utarray_erase(param_values, pos, 1);
-		}
-	}
-
-	param_unlock();
-
-	if (s != NULL)
-		param_notify_changes();
-}
-
-void
-param_reset_all(void)
-{
-	param_lock();
-
-	if (param_values != NULL) {
-		utarray_free(param_values);
-	}
-
-	/* mark as reset / deleted */
-	param_values = NULL;
-
-	param_unlock();
-
-	param_notify_changes();
-}
-
-static const char *param_default_file = "/eeprom/parameters";
-static char *param_user_file = NULL;
-
-int
-param_set_default_file(const char* filename)
-{
-	if (param_user_file != NULL) {
-		free(param_user_file);
-		param_user_file = NULL;
-	}
-	if (filename)
-		param_user_file = strdup(filename);
-	return 0;
-}
-
-const char *
-param_get_default_file(void)
-{
-	return (param_user_file != NULL) ? param_user_file : param_default_file;
-}
-
-int
-param_save_default(void)
-{
-	/* delete the file in case it exists */
-	unlink(param_get_default_file());
-
-	/* create the file */
-	int fd = open(param_get_default_file(), O_WRONLY | O_CREAT | O_EXCL);
-
-	if (fd < 0) {
-		warn("opening '%s' for writing failed", param_get_default_file());
-		return -1;
-	}
-
-	int result = param_export(fd, false);
-	close(fd);
-
-	if (result != 0) {
-		warn("error exporting parameters to '%s'", param_get_default_file());
-		unlink(param_get_default_file());
-		return -2;
-	}
-
-	return 0;
-}
-
-/**
- * @return 0 on success, 1 if all params have not yet been stored, -1 if device open failed, -2 if writing parameters failed
- */
-int
-param_load_default(void)
-{
-	int fd = open(param_get_default_file(), O_RDONLY);
-
-	if (fd < 0) {
-		/* no parameter file is OK, otherwise this is an error */
-		if (errno != ENOENT) {
-			warn("open '%s' for reading failed", param_get_default_file());
-			return -1;
-		}
-		return 1;
-	}
-
-	int result = param_load(fd);
-	close(fd);
-
-	if (result != 0) {
-		warn("error reading parameters from '%s'", param_get_default_file());
-		return -2;
-	}
-
-	return 0;
-}
-
-int
-param_export(int fd, bool only_unsaved)
-{
-	struct param_wbuf_s *s = NULL;
-	struct bson_encoder_s encoder;
-	int	result = -1;
-
-	param_lock();
-
-	bson_encoder_init_file(&encoder, fd);
-
-	/* no modified parameters -> we are done */
-	if (param_values == NULL) {
-		result = 0;
-		goto out;
-	}
-
-	while ((s = (struct param_wbuf_s *)utarray_next(param_values, s)) != NULL) {
-
-		int32_t	i;
-		float	f;
-
-		/*
-		 * If we are only saving values changed since last save, and this
-		 * one hasn't, then skip it
-		 */
-		if (only_unsaved && !s->unsaved)
-			continue;
-
-		s->unsaved = false;
-
-		/* append the appropriate BSON type object */
-		switch (param_type(s->param)) {
-		case PARAM_TYPE_INT32:
-			param_get(s->param, &i);
-
-			if (bson_encoder_append_int(&encoder, param_name(s->param), i)) {
-				debug("BSON append failed for '%s'", param_name(s->param));
-				goto out;
-			}
-
-			break;
-
-		case PARAM_TYPE_FLOAT:
-			param_get(s->param, &f);
-
-			if (bson_encoder_append_double(&encoder, param_name(s->param), f)) {
-				debug("BSON append failed for '%s'", param_name(s->param));
-				goto out;
-			}
-
-			break;
-
-		case PARAM_TYPE_STRUCT ... PARAM_TYPE_STRUCT_MAX:
-			if (bson_encoder_append_binary(&encoder,
-						       param_name(s->param),
-						       BSON_BIN_BINARY,
-						       param_size(s->param),
-						       param_get_value_ptr(s->param))) {
-				debug("BSON append failed for '%s'", param_name(s->param));
-				goto out;
-			}
-
-			break;
-
-		default:
-			debug("unrecognized parameter type");
-			goto out;
-		}
-	}
-
-	result = 0;
-
-out:
-	param_unlock();
-
-	if (result == 0)
-		result = bson_encoder_fini(&encoder);
-
-	return result;
-}
-
-struct param_import_state {
-	bool mark_saved;
-};
-
-static int
-param_import_callback(bson_decoder_t decoder, void *private, bson_node_t node)
-{
-	float f;
-	int32_t i;
-	void *v, *tmp = NULL;
-	int result = -1;
-	struct param_import_state *state = (struct param_import_state *)private;
-
-	/*
-	 * EOO means the end of the parameter object. (Currently not supporting
-	 * nested BSON objects).
-	 */
-	if (node->type == BSON_EOO) {
-		debug("end of parameters");
-		return 0;
-	}
-
-	/*
-	 * Find the parameter this node represents.  If we don't know it,
-	 * ignore the node.
-	 */
-	param_t param = param_find(node->name);
-
-	if (param == PARAM_INVALID) {
-		debug("ignoring unrecognised parameter '%s'", node->name);
-		return 1;
-	}
-
-	/*
-	 * Handle setting the parameter from the node
-	 */
-
-	switch (node->type) {
-	case BSON_INT32:
-		if (param_type(param) != PARAM_TYPE_INT32) {
-			debug("unexpected type for '%s", node->name);
-			goto out;
-		}
-
-		i = node->i;
-		v = &i;
-		break;
-
-	case BSON_DOUBLE:
-		if (param_type(param) != PARAM_TYPE_FLOAT) {
-			debug("unexpected type for '%s", node->name);
-			goto out;
-		}
-
-		f = node->d;
-		v = &f;
-		break;
-
-	case BSON_BINDATA:
-		if (node->subtype != BSON_BIN_BINARY) {
-			debug("unexpected subtype for '%s", node->name);
-			goto out;
-		}
-
-		if (bson_decoder_data_pending(decoder) != param_size(param)) {
-			debug("bad size for '%s'", node->name);
-			goto out;
-		}
-
-		/* XXX check actual file data size? */
-		tmp = malloc(param_size(param));
-
-		if (tmp == NULL) {
-			debug("failed allocating for '%s'", node->name);
-			goto out;
-		}
-
-		if (bson_decoder_copy_data(decoder, tmp)) {
-			debug("failed copying data for '%s'", node->name);
-			goto out;
-		}
-
-		v = tmp;
-		break;
-
-	default:
-		debug("unrecognised node type");
-		goto out;
-	}
-
-	if (param_set_internal(param, v, state->mark_saved)) {
-		debug("error setting value for '%s'", node->name);
-		goto out;
-	}
-
-	if (tmp != NULL) {
-		free(tmp);
-		tmp = NULL;
-	}
-
-	/* don't return zero, that means EOF */
-	result = 1;
-
-out:
-
-	if (tmp != NULL)
-		free(tmp);
-
-	return result;
-}
-
-static int
-param_import_internal(int fd, bool mark_saved)
-{
-	struct bson_decoder_s decoder;
-	int result = -1;
-	struct param_import_state state;
-
-	if (bson_decoder_init_file(&decoder, fd, param_import_callback, &state)) {
-		debug("decoder init failed");
-		goto out;
-	}
-
-	state.mark_saved = mark_saved;
-
-	do {
-		result = bson_decoder_next(&decoder);
-
-	} while (result > 0);
-
-out:
-
-	if (result < 0)
-		debug("BSON error decoding parameters");
-
-	return result;
-}
-
-int
-param_import(int fd)
-{
-	return param_import_internal(fd, false);
-}
-
-int
-param_load(int fd)
-{
-	param_reset_all();
-	return param_import_internal(fd, true);
-}
-
-void
-param_foreach(void (*func)(void *arg, param_t param), void *arg, bool only_changed)
-{
-	param_t	param;
-
-	for (param = 0; handle_in_range(param); param++) {
-
-		/* if requested, skip unchanged values */
-		if (only_changed && (param_find_changed(param) == NULL))
-			continue;
-
-		func(arg, param);
-	}
-}
diff --git a/apps/systemlib/param/param.h b/apps/systemlib/param/param.h
deleted file mode 100644
index 084cd931a..000000000
--- a/apps/systemlib/param/param.h
+++ /dev/null
@@ -1,336 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file param.h
- *
- * Global parameter store.
- *
- * Note that a number of API members are marked const or pure; these
- * assume that the set of parameters cannot change, or that a parameter
- * cannot change type or size over its lifetime.  If any of these assumptions
- * are invalidated, the attributes should be re-evaluated.
- */
-
-#ifndef _SYSTEMLIB_PARAM_PARAM_H
-#define _SYSTEMLIB_PARAM_PARAM_H
-
-#include 
-#include 
-#include 
-
-/** Maximum size of the parameter backing file */
-#define PARAM_FILE_MAXSIZE	4096
-
-__BEGIN_DECLS
-
-/**
- * Parameter types.
- */
-typedef enum param_type_e {
-	/* globally-known parameter types */
-	PARAM_TYPE_INT32 = 0,
-	PARAM_TYPE_FLOAT,
-
-	/* structure parameters; size is encoded in the type value */
-	PARAM_TYPE_STRUCT = 100,
-	PARAM_TYPE_STRUCT_MAX = 16384 + PARAM_TYPE_STRUCT,
-
-	PARAM_TYPE_UNKNOWN = 0xffff
-} param_type_t;
-
-/**
- * Parameter handle.
- *
- * Parameters are represented by parameter handles, which can
- * be obtained by looking up (or creating?) parameters.
- */
-typedef uintptr_t	param_t;
-
-/**
- * Handle returned when a parameter cannot be found.
- */
-#define PARAM_INVALID	((uintptr_t)0xffffffff)
-
-/**
- * Look up a parameter by name.
- *
- * @param name		The canonical name of the parameter being looked up.
- * @return		A handle to the parameter, or PARAM_INVALID if the parameter does not exist.
- */
-__EXPORT param_t	param_find(const char *name);
-
-/**
- * Return the total number of parameters.
- *
- * @return		The number of parameters.
- */
-__EXPORT unsigned	param_count(void);
-
-/**
- * Look up a parameter by index.
- *
- * @param index		An index from 0 to n, where n is param_count()-1.
- * @return		A handle to the parameter, or PARAM_INVALID if the index is out of range.
- */
-__EXPORT param_t	param_for_index(unsigned index);
-
-/**
- * Look up the index of a parameter.
- *
- * @param param		The parameter to obtain the index for.
- * @return		The index, or -1 if the parameter does not exist.
- */
-__EXPORT int		param_get_index(param_t param);
-
-/**
- * Obtain the name of a parameter.
- *
- * @param param		A handle returned by param_find or passed by param_foreach.
- * @return		The name assigned to the parameter, or NULL if the handle is invalid.
- */
-__EXPORT const char	*param_name(param_t param);
-
-/**
- * Test whether a parameter's value has changed from the default.
- *
- * @return		If true, the parameter's value has not been changed from the default.
- */
-__EXPORT bool		param_value_is_default(param_t param);
-
-/**
- * Test whether a parameter's value has been changed but not saved.
- *
- * @return		If true, the parameter's value has not been saved.
- */
-__EXPORT bool		param_value_unsaved(param_t param);
-
-/**
- * Obtain the type of a parameter.
- *
- * @param param		A handle returned by param_find or passed by param_foreach.
- * @return		The type assigned to the parameter.
- */
-__EXPORT param_type_t	param_type(param_t param);
-
-/**
- * Determine the size of a parameter.
- *
- * @param param		A handle returned by param_find or passed by param_foreach.
- * @return		The size of the parameter's value.
- */
-__EXPORT size_t		param_size(param_t param);
-
-/**
- * Copy the value of a parameter.
- *
- * @param param		A handle returned by param_find or passed by param_foreach.
- * @param val		Where to return the value, assumed to point to suitable storage for the parameter type.
- *			For structures, a bitwise copy of the structure is performed to this address.
- * @return		Zero if the parameter's value could be returned, nonzero otherwise.
- */
-__EXPORT int		param_get(param_t param, void *val);
-
-/**
- * Set the value of a parameter.
- *
- * @param param		A handle returned by param_find or passed by param_foreach.
- * @param val		The value to set; assumed to point to a variable of the parameter type.
- *			For structures, the pointer is assumed to point to a structure to be copied.
- * @return		Zero if the parameter's value could be set from a scalar, nonzero otherwise.
- */
-__EXPORT int		param_set(param_t param, const void *val);
-
-/**
- * Reset a parameter to its default value.
- *
- * This function frees any storage used by struct parameters, and returns the parameter
- * to its default value.
- *
- * @param param		A handle returned by param_find or passed by param_foreach.
- */
-__EXPORT void		param_reset(param_t param);
-
-/**
- * Reset all parameters to their default values.
- *
- * This function also releases the storage used by struct parameters.
- */
-__EXPORT void		param_reset_all(void);
-
-/**
- * Export changed parameters to a file.
- *
- * @param fd		File descriptor to export to.
- * @param only_unsaved	Only export changed parameters that have not yet been exported.
- * @return		Zero on success, nonzero on failure.
- */
-__EXPORT int		param_export(int fd, bool only_unsaved);
-
-/**
- * Import parameters from a file, discarding any unrecognized parameters.
- *
- * This function merges the imported parameters with the current parameter set.
- *
- * @param fd		File descriptor to import from.  (Currently expected to be a file.)
- * @return		Zero on success, nonzero if an error occurred during import.
- *			Note that in the failure case, parameters may be inconsistent.
- */
-__EXPORT int		param_import(int fd);
-
-/**
- * Load parameters from a file.
- *
- * This function resets all parameters to their default values, then loads new
- * values from a file.
- *
- * @param fd		File descriptor to import from.  (Currently expected to be a file.)
- * @return		Zero on success, nonzero if an error occurred during import.
- *			Note that in the failure case, parameters may be inconsistent.
- */
-__EXPORT int		param_load(int fd);
-
-/**
- * Apply a function to each parameter.
- *
- * Note that the parameter set is not locked during the traversal. It also does
- * not hold an internal state, so the callback function can block or sleep between
- * parameter callbacks.
- *
- * @param func		The function to invoke for each parameter.
- * @param arg		Argument passed to the function.
- * @param only_changed	If true, the function is only called for parameters whose values have
- *			been changed from the default.
- */
-__EXPORT void		param_foreach(void (*func)(void *arg, param_t param), void *arg, bool only_changed);
-
-/**
- * Set the default parameter file name.
- *
- * @param filename	Path to the default parameter file.  The file is not require to
- *			exist.
- * @return		Zero on success.
- */
-__EXPORT int 		param_set_default_file(const char* filename);
-
-/**
- * Get the default parameter file name.
- *
- * @return		The path to the current default parameter file; either as
- *			a result of a call to param_set_default_file, or the 
- *			built-in default.
- */
-__EXPORT const char*	param_get_default_file(void);
-
-/**
- * Save parameters to the default file.
- *
- * This function saves all parameters with non-default values.
- *
- * @return		Zero on success.
- */
-__EXPORT int 		param_save_default(void);
-
-/**
- * Load parameters from the default parameter file.
- *
- * @return		Zero on success.
- */
-__EXPORT int 		param_load_default(void);
-
-/*
- * Macros creating static parameter definitions.
- *
- * Note that these structures are not known by name; they are
- * collected into a section that is iterated by the parameter
- * code.
- *
- * Note that these macros cannot be used in C++ code due to
- * their use of designated initializers.  They should probably
- * be refactored to avoid the use of a union for param_value_u.
- */
-
-/** define an int32 parameter */
-#define PARAM_DEFINE_INT32(_name, _default)		\
-	static const					\
-	__attribute__((used, section("__param")))	\
-	struct param_info_s __param__##_name = {	\
-		#_name,					\
-		PARAM_TYPE_INT32,			\
-		.val.i = _default			\
-	}
-
-/** define a float parameter */
-#define PARAM_DEFINE_FLOAT(_name, _default)		\
-	static const					\
-	__attribute__((used, section("__param")))	\
-	struct param_info_s __param__##_name = {	\
-		#_name,					\
-		PARAM_TYPE_FLOAT,			\
-		.val.f = _default			\
-	}
-
-/** define a parameter that points to a structure */
-#define PARAM_DEFINE_STRUCT(_name, _default)		\
-	static const					\
-	__attribute__((used, section("__param")))	\
-	struct param_info_s __param__##_name = {	\
-		#_name,					\
-		PARAM_TYPE_STRUCT + sizeof(_default),	\
-		.val.p = &_default;			\
-	}
-
-/**
- * Parameter value union.
- */
-union param_value_u {
-	void		*p;
-	int32_t		i;
-	float		f;
-};
-
-/**
- * Static parameter definition structure.
- *
- * This is normally not used by user code; see the PARAM_DEFINE macros
- * instead.
- */
-struct param_info_s {
-	const char	*name;
-	param_type_t	type;
-	union param_value_u val;
-};
-
-__END_DECLS
-
-#endif
diff --git a/apps/systemlib/perf_counter.c b/apps/systemlib/perf_counter.c
deleted file mode 100644
index 879f4715a..000000000
--- a/apps/systemlib/perf_counter.c
+++ /dev/null
@@ -1,317 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file perf_counter.c
- *
- * @brief Performance measuring tools.
- */
-
-#include 
-#include 
-#include 
-#include 
-
-#include "perf_counter.h"
-
-/**
- * Header common to all counters.
- */
-struct perf_ctr_header {
-	sq_entry_t		link;	/**< list linkage */
-	enum perf_counter_type	type;	/**< counter type */
-	const char		*name;	/**< counter name */
-};
-
-/**
- * PC_EVENT counter.
- */
-struct perf_ctr_count {
-	struct perf_ctr_header	hdr;
-	uint64_t		event_count;
-};
-
-/**
- * PC_ELAPSED counter.
- */
-struct perf_ctr_elapsed {
-	struct perf_ctr_header	hdr;
-	uint64_t		event_count;
-	uint64_t		time_start;
-	uint64_t		time_total;
-	uint64_t		time_least;
-	uint64_t		time_most;
-};
-
-/**
- * PC_INTERVAL counter.
- */
-struct perf_ctr_interval {
-	struct perf_ctr_header	hdr;
-	uint64_t		event_count;
-	uint64_t		time_event;
-	uint64_t		time_first;
-	uint64_t		time_last;
-	uint64_t		time_least;
-	uint64_t		time_most;
-
-};
-
-/**
- * List of all known counters.
- */
-static sq_queue_t	perf_counters;
-
-
-perf_counter_t
-perf_alloc(enum perf_counter_type type, const char *name)
-{
-	perf_counter_t ctr = NULL;
-
-	switch (type) {
-	case PC_COUNT:
-		ctr = (perf_counter_t)calloc(sizeof(struct perf_ctr_count), 1);
-		break;
-
-	case PC_ELAPSED:
-		ctr = (perf_counter_t)calloc(sizeof(struct perf_ctr_elapsed), 1);
-		break;
-
-	case PC_INTERVAL:
-		ctr = (perf_counter_t)calloc(sizeof(struct perf_ctr_interval), 1);
-		break;
-
-	default:
-		break;
-	}
-
-	if (ctr != NULL) {
-		ctr->type = type;
-		ctr->name = name;
-		sq_addfirst(&ctr->link, &perf_counters);
-	}
-
-	return ctr;
-}
-
-void
-perf_free(perf_counter_t handle)
-{
-	if (handle == NULL)
-		return;
-
-	sq_rem(&handle->link, &perf_counters);
-	free(handle);
-}
-
-void
-perf_count(perf_counter_t handle)
-{
-	if (handle == NULL)
-		return;
-
-	switch (handle->type) {
-	case PC_COUNT:
-		((struct perf_ctr_count *)handle)->event_count++;
-		break;
-
-	case PC_INTERVAL: {
-		struct perf_ctr_interval *pci = (struct perf_ctr_interval *)handle;
-		hrt_abstime now = hrt_absolute_time();
-
-		switch (pci->event_count) {
-		case 0:
-			pci->time_first = now;
-			break;
-		case 1:
-			pci->time_least = now - pci->time_last;
-			pci->time_most = now - pci->time_last;
-			break;
-		default: {
-			hrt_abstime interval = now - pci->time_last;
-			if (interval < pci->time_least)
-				pci->time_least = interval;
-			if (interval > pci->time_most)
-				pci->time_most = interval;
-			break;
-		}
-		}
-		pci->time_last = now;
-		pci->event_count++;
-		break;
-	}
-
-	default:
-		break;
-	}
-}
-
-void
-perf_begin(perf_counter_t handle)
-{
-	if (handle == NULL)
-		return;
-
-	switch (handle->type) {
-	case PC_ELAPSED:
-		((struct perf_ctr_elapsed *)handle)->time_start = hrt_absolute_time();
-		break;
-
-	default:
-		break;
-	}
-}
-
-void
-perf_end(perf_counter_t handle)
-{
-	if (handle == NULL)
-		return;
-
-	switch (handle->type) {
-	case PC_ELAPSED: {
-			struct perf_ctr_elapsed *pce = (struct perf_ctr_elapsed *)handle;
-			hrt_abstime elapsed = hrt_absolute_time() - pce->time_start;
-
-			pce->event_count++;
-			pce->time_total += elapsed;
-
-			if ((pce->time_least > elapsed) || (pce->time_least == 0))
-				pce->time_least = elapsed;
-
-			if (pce->time_most < elapsed)
-				pce->time_most = elapsed;
-		}
-
-	default:
-		break;
-	}
-}
-
-void
-perf_reset(perf_counter_t handle)
-{
-	if (handle == NULL)
-		return;
-
-	switch (handle->type) {
-	case PC_COUNT:
-		((struct perf_ctr_count *)handle)->event_count = 0;
-		break;
-
-	case PC_ELAPSED: {
-		struct perf_ctr_elapsed *pce = (struct perf_ctr_elapsed *)handle;
-		pce->event_count = 0;
-		pce->time_start = 0;
-		pce->time_total = 0;
-		pce->time_least = 0;
-		pce->time_most = 0;
-		break;
-	}
-
-	case PC_INTERVAL: {
-		struct perf_ctr_interval *pci = (struct perf_ctr_interval *)handle;
-		pci->event_count = 0;
-		pci->time_event = 0;
-		pci->time_first = 0;
-		pci->time_last = 0;
-		pci->time_least = 0;
-		pci->time_most = 0;
-		break;
-	}
-	}
-}
-
-void
-perf_print_counter(perf_counter_t handle)
-{
-	if (handle == NULL)
-		return;
-
-	switch (handle->type) {
-	case PC_COUNT:
-		printf("%s: %llu events\n",
-		       handle->name,
-		       ((struct perf_ctr_count *)handle)->event_count);
-		break;
-
-	case PC_ELAPSED: {
-		struct perf_ctr_elapsed *pce = (struct perf_ctr_elapsed *)handle;
-
-		printf("%s: %llu events, %lluus elapsed, min %lluus max %lluus\n",
-		       handle->name,
-		       pce->event_count,
-		       pce->time_total,
-		       pce->time_least,
-		       pce->time_most);
-		break;
-	}
-
-	case PC_INTERVAL: {
-		struct perf_ctr_interval *pci = (struct perf_ctr_interval *)handle;
-
-		printf("%s: %llu events, %llu avg, min %lluus max %lluus\n",
-		       handle->name,
-		       pci->event_count,
-		       (pci->time_last - pci->time_first) / pci->event_count,
-		       pci->time_least,
-		       pci->time_most);
-		break;
-	}
-
-	default:
-		break;
-	}
-}
-
-void
-perf_print_all(void)
-{
-	perf_counter_t handle = (perf_counter_t)sq_peek(&perf_counters);
-
-	while (handle != NULL) {
-		perf_print_counter(handle);
-		handle = (perf_counter_t)sq_next(&handle->link);
-	}
-}
-
-void
-perf_reset_all(void)
-{
-	perf_counter_t handle = (perf_counter_t)sq_peek(&perf_counters);
-
-	while (handle != NULL) {
-		perf_reset(handle);
-		handle = (perf_counter_t)sq_next(&handle->link);
-	}
-}
diff --git a/apps/systemlib/perf_counter.h b/apps/systemlib/perf_counter.h
deleted file mode 100644
index 5c2cb15b2..000000000
--- a/apps/systemlib/perf_counter.h
+++ /dev/null
@@ -1,128 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file perf_counter.h
- * Performance measuring tools.
- */
-
-#ifndef _SYSTEMLIB_PERF_COUNTER_H
-#define _SYSTEMLIB_PERF_COUNTER_H value
-
-/**
- * Counter types.
- */
-enum perf_counter_type {
-	PC_COUNT,		/**< count the number of times an event occurs */
-	PC_ELAPSED,		/**< measure the time elapsed performing an event */
-	PC_INTERVAL		/**< measure the interval between instances of an event */
-};
-
-struct perf_ctr_header;
-typedef struct perf_ctr_header	*perf_counter_t;
-
-__BEGIN_DECLS
-
-/**
- * Create a new counter.
- *
- * @param type			The type of the new counter.
- * @param name			The counter name.
- * @return			Handle for the new counter, or NULL if a counter
- *				could not be allocated.
- */
-__EXPORT extern perf_counter_t	perf_alloc(enum perf_counter_type type, const char *name);
-
-/**
- * Free a counter.
- *
- * @param handle		The performance counter's handle.
- */
-__EXPORT extern void		perf_free(perf_counter_t handle);
-
-/**
- * Count a performance event.
- *
- * This call only affects counters that take single events; PC_COUNT etc.
- *
- * @param handle		The handle returned from perf_alloc.
- */
-__EXPORT extern void		perf_count(perf_counter_t handle);
-
-/**
- * Begin a performance event.
- *
- * This call applies to counters that operate over ranges of time; PC_ELAPSED etc.
- *
- * @param handle		The handle returned from perf_alloc.
- */
-__EXPORT extern void		perf_begin(perf_counter_t handle);
-
-/**
- * End a performance event.
- *
- * This call applies to counters that operate over ranges of time; PC_ELAPSED etc.
- *
- * @param handle		The handle returned from perf_alloc.
- */
-__EXPORT extern void		perf_end(perf_counter_t handle);
-
-/**
- * Reset a performance event.
- *
- * This call resets performance counter to initial state
- *
- * @param handle		The handle returned from perf_alloc.
- */
-__EXPORT extern void		perf_reset(perf_counter_t handle);
-
-/**
- * Print one performance counter.
- *
- * @param handle		The counter to print.
- */
-__EXPORT extern void		perf_print_counter(perf_counter_t handle);
-
-/**
- * Print all of the performance counters.
- */
-__EXPORT extern void		perf_print_all(void);
-
-/**
- * Reset all of the performance counters.
- */
-__EXPORT extern void		perf_reset_all(void);
-
-__END_DECLS
-
-#endif
diff --git a/apps/systemlib/pid/pid.c b/apps/systemlib/pid/pid.c
deleted file mode 100644
index 49315cdc9..000000000
--- a/apps/systemlib/pid/pid.c
+++ /dev/null
@@ -1,191 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2008-2012 PX4 Development Team. All rights reserved.
- *   Author: @author Laurens Mackay 
- *           @author Tobias Naegeli 
- *           @author Martin Rutschmann 
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file pid.c
- * Implementation of generic PID control interface
- */
-
-#include "pid.h"
-#include 
-
-__EXPORT void pid_init(PID_t *pid, float kp, float ki, float kd, float intmax,
-		       float limit, uint8_t mode)
-{
-	pid->kp = kp;
-	pid->ki = ki;
-	pid->kd = kd;
-	pid->intmax = intmax;
-	pid->limit = limit;
-	pid->mode = mode;
-	pid->count = 0;
-	pid->saturated = 0;
-	pid->last_output = 0;
-
-	pid->sp = 0;
-	pid->error_previous = 0;
-	pid->integral = 0;
-}
-__EXPORT int pid_set_parameters(PID_t *pid, float kp, float ki, float kd, float intmax, float limit)
-{
-	int ret = 0;
-
-	if (isfinite(kp)) {
-		pid->kp = kp;
-
-	} else {
-		ret = 1;
-	}
-
-	if (isfinite(ki)) {
-		pid->ki = ki;
-
-	} else {
-		ret = 1;
-	}
-
-	if (isfinite(kd)) {
-		pid->kd = kd;
-
-	} else {
-		ret = 1;
-	}
-
-	if (isfinite(intmax)) {
-		pid->intmax = intmax;
-
-	}  else {
-		ret = 1;
-	}
-
-	if (isfinite(limit)) {
-		pid->limit = limit;
-
-	}  else {
-		ret = 1;
-	}
-
-	return ret;
-}
-
-//void pid_set(PID_t *pid, float sp)
-//{
-//	pid->sp = sp;
-//	pid->error_previous = 0;
-//	pid->integral = 0;
-//}
-
-/**
- *
- * @param pid
- * @param val
- * @param dt
- * @return
- */
-__EXPORT float pid_calculate(PID_t *pid, float sp, float val, float val_dot, float dt)
-{
-	/*  error = setpoint - actual_position
-	 integral = integral + (error*dt)
-	 derivative = (error - previous_error)/dt
-	 output = (Kp*error) + (Ki*integral) + (Kd*derivative)
-	 previous_error = error
-	 wait(dt)
-	 goto start
-	 */
-
-	if (!isfinite(sp) || !isfinite(val) || !isfinite(val_dot) || !isfinite(dt)) {
-		return pid->last_output;
-	}
-
-	float i, d;
-	pid->sp = sp;
-
-	// Calculated current error value
-	float error = pid->sp - val;
-
-	if (isfinite(error)) {				// Why is this necessary?  DEW
-		pid->error_previous = error;
-	}
-
-	// Calculate or measured current error derivative
-
-	if (pid->mode == PID_MODE_DERIVATIV_CALC) {
-		d = (error - pid->error_previous) / dt;
-
-	} else if (pid->mode == PID_MODE_DERIVATIV_SET) {
-		d = -val_dot;
-
-	} else {
-		d = 0.0f;
-	}
-
-	// Calculate the error integral and check for saturation
-	i = pid->integral + (error * dt);
-
-	if (fabsf((error * pid->kp) + (i * pid->ki) + (d * pid->kd)) > pid->limit ||
-	    fabsf(i) > pid->intmax) {
-		i = pid->integral;		// If saturated then do not update integral value
-		pid->saturated = 1;
-
-	} else {
-		if (!isfinite(i)) {
-			i = 0;
-		}
-
-		pid->integral = i;
-		pid->saturated = 0;
-	}
-
-	// Calculate the output.  Limit output magnitude to pid->limit
-	float output = (pid->error_previous * pid->kp) + (i * pid->ki) + (d * pid->kd);
-
-	if (output > pid->limit) output = pid->limit;
-
-	if (output < -pid->limit) output = -pid->limit;
-
-	if (isfinite(output)) {
-		pid->last_output = output;
-	}
-
-
-	return pid->last_output;
-}
-
-
-__EXPORT void pid_reset_integral(PID_t *pid)
-{
-	pid->integral = 0;
-}
diff --git a/apps/systemlib/pid/pid.h b/apps/systemlib/pid/pid.h
deleted file mode 100644
index 64d668867..000000000
--- a/apps/systemlib/pid/pid.h
+++ /dev/null
@@ -1,78 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2008-2012 PX4 Development Team. All rights reserved.
- *   Author: @author Laurens Mackay 
- *           @author Tobias Naegeli 
- *           @author Martin Rutschmann 
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file pid.h
- * Definition of generic PID control interface
- */
-
-#ifndef PID_H_
-#define PID_H_
-
-#include 
-
-/* PID_MODE_DERIVATIV_CALC calculates discrete derivative from previous error
- * val_dot in pid_calculate() will be ignored */
-#define PID_MODE_DERIVATIV_CALC	0
-/* Use PID_MODE_DERIVATIV_SET if you have the derivative already (Gyros, Kalman) */
-#define PID_MODE_DERIVATIV_SET	1
-// Use PID_MODE_DERIVATIV_NONE for a PI controller (vs PID)
-#define PID_MODE_DERIVATIV_NONE 9
-
-typedef struct {
-	float kp;
-	float ki;
-	float kd;
-	float intmax;
-	float sp;
-	float integral;
-	float error_previous;
-	float last_output;
-	float limit;
-	uint8_t mode;
-	uint8_t count;
-	uint8_t saturated;
-} PID_t;
-
-__EXPORT void pid_init(PID_t *pid, float kp, float ki, float kd, float intmax, float limit, uint8_t mode);
-__EXPORT int pid_set_parameters(PID_t *pid, float kp, float ki, float kd, float intmax, float limit);
-//void pid_set(PID_t *pid, float sp);
-__EXPORT float pid_calculate(PID_t *pid, float sp, float val, float val_dot, float dt);
-
-__EXPORT void pid_reset_integral(PID_t *pid);
-
-
-#endif /* PID_H_ */
diff --git a/apps/systemlib/ppm_decode.c b/apps/systemlib/ppm_decode.c
deleted file mode 100644
index a5d2f738d..000000000
--- a/apps/systemlib/ppm_decode.c
+++ /dev/null
@@ -1,248 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file ppm_decode.c
- *
- * PPM input decoder.
- */
-
-#include 
-
-#include 
-#include 
-
-#include 
-
-#include "ppm_decode.h"
-
-/*
- * PPM decoder tuning parameters.
- *
- * The PPM decoder works as follows.
- *
- * Initially, the decoder waits in the UNSYNCH state for two edges
- * separated by PPM_MIN_START.  Once the second edge is detected,
- * the decoder moves to the ARM state.
- *
- * The ARM state expects an edge within PPM_MAX_PULSE_WIDTH, being the
- * timing mark for the first channel.  If this is detected, it moves to
- * the INACTIVE state.
- *
- * The INACTIVE phase waits for and discards the next edge, as it is not
- * significant.  Once the edge is detected, it moves to the ACTIVE stae.
- *
- * The ACTIVE state expects an edge within PPM_MAX_PULSE_WIDTH, and when
- * received calculates the time from the previous mark and records
- * this time as the value for the next channel.
- *
- * If at any time waiting for an edge, the delay from the previous edge
- * exceeds PPM_MIN_START the frame is deemed to have ended and the recorded
- * values are advertised to clients.
- */
-#define PPM_MAX_PULSE_WIDTH	500		/* maximum width of a pulse */
-#define PPM_MIN_CHANNEL_VALUE	800		/* shortest valid channel signal */
-#define PPM_MAX_CHANNEL_VALUE	2200		/* longest valid channel signal */
-#define PPM_MIN_START		2500		/* shortest valid start gap */
-
-/* Input timeout - after this interval we assume signal is lost */
-#define PPM_INPUT_TIMEOUT	100 * 1000	/* 100ms */
-
-/* Number of same-sized frames required to 'lock' */
-#define PPM_CHANNEL_LOCK	3		/* should be less than the input timeout */
-
-/* decoded PPM buffer */
-#define PPM_MIN_CHANNELS	4
-#define PPM_MAX_CHANNELS	12
-
-/*
- * Public decoder state
- */
-uint16_t	ppm_buffer[PPM_MAX_CHANNELS];
-unsigned	ppm_decoded_channels;
-hrt_abstime	ppm_last_valid_decode;
-
-static uint16_t ppm_temp_buffer[PPM_MAX_CHANNELS];
-
-/* PPM decoder state machine */
-static struct {
-	uint16_t	last_edge;	/* last capture time */
-	uint16_t	last_mark;	/* last significant edge */
-	unsigned	next_channel;
-	unsigned	count_max;
-	enum {
-		UNSYNCH = 0,
-		ARM,
-		ACTIVE,
-		INACTIVE
-	} phase;
-} ppm;
-
-
-void
-ppm_input_init(unsigned count_max)
-{
-	ppm_decoded_channels = 0;
-	ppm_last_valid_decode = 0;
-
-	memset(&ppm, 0, sizeof(ppm));
-	ppm.count_max = count_max;
-}
-
-void
-ppm_input_decode(bool reset, unsigned count)
-{
-	uint16_t width;
-	uint16_t interval;
-	unsigned i;
-
-	/* if we missed an edge, we have to give up */
-	if (reset)
-		goto error;
-
-	/* how long since the last edge? */
-	width = count - ppm.last_edge;
-
-	if (count < ppm.last_edge)
-		width += ppm.count_max;	/* handle wrapped count */
-
-	ppm.last_edge = count;
-
-	/*
-	 * If this looks like a start pulse, then push the last set of values
-	 * and reset the state machine.
-	 *
-	 * Note that this is not a "high performance" design; it implies a whole
-	 * frame of latency between the pulses being received and their being
-	 * considered valid.
-	 */
-	if (width >= PPM_MIN_START) {
-
-		/*
-		 * If the number of channels changes unexpectedly, we don't want
-		 * to just immediately jump on the new count as it may be a result
-		 * of noise or dropped edges.  Instead, take a few frames to settle.
-		 */
-		if (ppm.next_channel != ppm_decoded_channels) {
-			static unsigned new_channel_count;
-			static unsigned new_channel_holdoff;
-
-			if (new_channel_count != ppm.next_channel) {
-				/* start the lock counter for the new channel count */
-				new_channel_count = ppm.next_channel;
-				new_channel_holdoff = PPM_CHANNEL_LOCK;
-
-			} else if (new_channel_holdoff > 0) {
-				/* this frame matched the last one, decrement the lock counter */
-				new_channel_holdoff--;
-
-			} else {
-				/* we have seen PPM_CHANNEL_LOCK frames with the new count, accept it */
-				ppm_decoded_channels = new_channel_count;
-				new_channel_count = 0;
-			}
-
-		} else {
-			/* frame channel count matches expected, let's use it */
-			if (ppm.next_channel > PPM_MIN_CHANNELS) {
-				for (i = 0; i < ppm.next_channel; i++)
-					ppm_buffer[i] = ppm_temp_buffer[i];
-
-				ppm_last_valid_decode = hrt_absolute_time();
-			}
-		}
-
-		/* reset for the next frame */
-		ppm.next_channel = 0;
-
-		/* next edge is the reference for the first channel */
-		ppm.phase = ARM;
-
-		return;
-	}
-
-	switch (ppm.phase) {
-	case UNSYNCH:
-		/* we are waiting for a start pulse - nothing useful to do here */
-		return;
-
-	case ARM:
-
-		/* we expect a pulse giving us the first mark */
-		if (width > PPM_MAX_PULSE_WIDTH)
-			goto error;		/* pulse was too long */
-
-		/* record the mark timing, expect an inactive edge */
-		ppm.last_mark = count;
-		ppm.phase = INACTIVE;
-		return;
-
-	case INACTIVE:
-		/* this edge is not interesting, but now we are ready for the next mark */
-		ppm.phase = ACTIVE;
-
-		/* note that we don't bother looking at the timing of this edge */
-
-		return;
-
-	case ACTIVE:
-
-		/* we expect a well-formed pulse */
-		if (width > PPM_MAX_PULSE_WIDTH)
-			goto error;		/* pulse was too long */
-
-		/* determine the interval from the last mark */
-		interval = count - ppm.last_mark;
-		ppm.last_mark = count;
-
-		/* if the mark-mark timing is out of bounds, abandon the frame */
-		if ((interval < PPM_MIN_CHANNEL_VALUE) || (interval > PPM_MAX_CHANNEL_VALUE))
-			goto error;
-
-		/* if we have room to store the value, do so */
-		if (ppm.next_channel < PPM_MAX_CHANNELS)
-			ppm_temp_buffer[ppm.next_channel++] = interval;
-
-		ppm.phase = INACTIVE;
-		return;
-
-	}
-
-	/* the state machine is corrupted; reset it */
-
-error:
-	/* we don't like the state of the decoder, reset it and try again */
-	ppm.phase = UNSYNCH;
-	ppm_decoded_channels = 0;
-}
-
diff --git a/apps/systemlib/ppm_decode.h b/apps/systemlib/ppm_decode.h
deleted file mode 100644
index 6c5e15345..000000000
--- a/apps/systemlib/ppm_decode.h
+++ /dev/null
@@ -1,85 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file ppm_decode.h
- *
- * PPM input decoder.
- */
-
-#pragma once
-
-#include 
-
-/**
- * Maximum number of channels that we will decode.
- */
-#define PPM_MAX_CHANNELS	12
-
-/* PPM input nominal min/max values */
-#define PPM_MIN 1000
-#define PPM_MAX 2000
-#define PPM_MID ((PPM_MIN + PPM_MAX) / 2)
-
-__BEGIN_DECLS
-
-/*
- * PPM decoder state
- */
-__EXPORT extern uint16_t	ppm_buffer[PPM_MAX_CHANNELS];	/**< decoded PPM channel values */
-__EXPORT extern unsigned	ppm_decoded_channels;	/**< count of decoded channels */
-__EXPORT extern hrt_abstime	ppm_last_valid_decode;	/**< timestamp of the last valid decode */
-
-/**
- * Initialise the PPM input decoder.
- *
- * @param count_max		The maximum value of the counter passed to
- *				ppm_input_decode, used to determine how to
- *				handle counter wrap.
- */
-__EXPORT void		ppm_input_init(unsigned count_max);
-
-/**
- * Inform the decoder of an edge on the PPM input.
- *
- * This function can be registered with the HRT as the PPM edge handler.
- *
- * @param reset			If set, the edge detector has missed one or
- *				more edges and the decoder needs to be reset.
- * @param count			A microsecond timestamp corresponding to the
- *				edge, in the range 0-count_max.  This value
- *				is expected to wrap.
- */
-__EXPORT void		ppm_input_decode(bool reset, unsigned count);
-
-__END_DECLS
\ No newline at end of file
diff --git a/apps/systemlib/scheduling_priorities.h b/apps/systemlib/scheduling_priorities.h
deleted file mode 100644
index be1dbfcd8..000000000
--- a/apps/systemlib/scheduling_priorities.h
+++ /dev/null
@@ -1,48 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-#pragma once
-
-#include 
-
-/*      SCHED_PRIORITY_MAX    */
-#define SCHED_PRIORITY_FAST_DRIVER           SCHED_PRIORITY_MAX
-#define SCHED_PRIORITY_WATCHDOG             (SCHED_PRIORITY_MAX - 5)
-#define SCHED_PRIORITY_ACTUATOR_OUTPUTS     (SCHED_PRIORITY_MAX - 15)
-#define SCHED_PRIORITY_ATTITUDE_CONTROL     (SCHED_PRIORITY_MAX - 25)
-#define SCHED_PRIORITY_SLOW_DRIVER          (SCHED_PRIORITY_MAX - 35)
-#define SCHED_PRIORITY_POSITION_CONTROL     (SCHED_PRIORITY_MAX - 40)
-/*      SCHED_PRIORITY_DEFAULT    */
-#define SCHED_PRIORITY_LOGGING              (SCHED_PRIORITY_DEFAULT - 10)
-#define SCHED_PRIORITY_PARAMS               (SCHED_PRIORITY_DEFAULT - 15)
-/*      SCHED_PRIORITY_IDLE    */
diff --git a/apps/systemlib/systemlib.c b/apps/systemlib/systemlib.c
deleted file mode 100644
index afb7eca29..000000000
--- a/apps/systemlib/systemlib.c
+++ /dev/null
@@ -1,91 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *   Author: @author Lorenz Meier 
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file systemlib.c
- * Implementation of commonly used low-level system-call like functions.
- */
-
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-
-#include "systemlib.h"
-
-static void kill_task(FAR _TCB *tcb, FAR void *arg);
-
-void killall()
-{
-//	printf("Sending SIGUSR1 to all processes now\n");
-
-	/* iterate through all tasks and send kill signal */
-	sched_foreach(kill_task, NULL);
-}
-
-static void kill_task(FAR _TCB *tcb, FAR void *arg)
-{
-	kill(tcb->pid, SIGUSR1);
-}
-
-int task_spawn(const char *name, int scheduler, int priority, int stack_size, main_t entry, const char *argv[])
-{
-	int pid;
-
-	sched_lock();
-
-	/* create the task */
-	pid = task_create(name, priority, stack_size, entry, argv);
-
-	if (pid > 0) {
-
-		/* configure the scheduler */
-		struct sched_param param;
-
-		param.sched_priority = priority;
-		sched_setscheduler(pid, scheduler, ¶m);
-
-		/* XXX do any other private task accounting here before the task starts */
-	}
-
-	sched_unlock();
-
-	return pid;
-}
diff --git a/apps/systemlib/systemlib.h b/apps/systemlib/systemlib.h
deleted file mode 100644
index 2c53c648b..000000000
--- a/apps/systemlib/systemlib.h
+++ /dev/null
@@ -1,122 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *   Author: Lorenz Meier 
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file systemlib.h
- * Definition of commonly used low-level system-call like functions.
- */
-
-#ifndef SYSTEMLIB_H_
-#define SYSTEMLIB_H_
-#include 
-#include 
-
-__BEGIN_DECLS
-
-/** Reboots the board */
-extern void up_systemreset(void) noreturn_function;
-
-/** Sends SIGUSR1 to all processes */
-__EXPORT void killall(void);
-
-/** Default scheduler type */
-#if CONFIG_RR_INTERVAL > 0
-# define SCHED_DEFAULT	SCHED_RR
-#else
-# define SCHED_DEFAULT	SCHED_FIFO
-#endif
-
-/** Starts a task and performs any specific accounting, scheduler setup, etc. */
-__EXPORT int task_spawn(const char *name,
-			int priority,
-			int scheduler,
-			int stack_size,
-			main_t entry,
-			const char *argv[]);
-
-enum MULT_PORTS {
-	MULT_0_US2_RXTX = 0,
-	MULT_1_US2_FLOW,
-	MULT_2_GPIO_12,
-	MULT_COUNT
-};
-
-/* Check max multi port count */
-#if (MULT_COUNT > 33)
-#error "MULT_COUNT HAS TO BE LESS THAN OR EQUAL 33"
-#endif
-
-/* FMU board info, to be stored in the first 64 bytes of the FMU EEPROM */
-#pragma pack(push,1)
-struct fmu_board_info_s {
-	char header[3];				/**< {'P', 'X', '4'} */
-	char board_name[20];			/**< Human readable board name, \0 terminated */
-	uint8_t board_id;			/**< board ID, constantly increasing number per board */
-	uint8_t board_version;			/**< board version, major * 10 + minor: v1.7 = 17 */
-	uint8_t multi_port_config[MULT_COUNT];	/**< Configuration of multi ports 1-3		  */
-	uint8_t reserved[33 - MULT_COUNT];	/**< Reserved space for more multi ports	  */
-	uint16_t production_year;
-	uint8_t production_month;
-	uint8_t production_day;
-	uint8_t production_fab;
-	uint8_t production_tester;
-}; /**< stores autopilot board information meta data from EEPROM */
-#pragma pack(pop)
-
-/* Carrier board info, to be stored in the 128 byte board info EEPROM */
-#pragma pack(push,1)
-struct carrier_board_info_s {
-	char header[3];				/**< {'P', 'X', '4'} */
-	char board_name[20];			/**< Human readable board name, \0 terminated */
-	uint8_t board_id;			/**< board ID, constantly increasing number per board */
-	uint8_t board_version;			/**< board version, major * 10 + minor: v1.7 = 17 */
-	uint8_t multi_port_config[MULT_COUNT];	/**< Configuration of multi ports 1-3		  */
-	uint8_t reserved[33 - MULT_COUNT];	/**< Reserved space for more multi ports	  */
-	uint16_t production_year;
-	uint8_t production_month;
-	uint8_t production_day;
-	uint8_t production_fab;
-	uint8_t production_tester;
-	char board_custom_data[64];
-}; /**< stores carrier board information meta data from EEPROM */
-#pragma pack(pop)
-
-struct __multiport_info {
-	const char *port_names[MULT_COUNT];
-};
-__EXPORT extern const struct __multiport_info multiport_info;
-
-__END_DECLS
-
-#endif /* SYSTEMLIB_H_ */
diff --git a/apps/systemlib/up_cxxinitialize.c b/apps/systemlib/up_cxxinitialize.c
deleted file mode 100644
index c78f29570..000000000
--- a/apps/systemlib/up_cxxinitialize.c
+++ /dev/null
@@ -1,150 +0,0 @@
-/************************************************************************************
- * configs/stm32f4discovery/src/up_cxxinitialize.c
- * arch/arm/src/board/up_cxxinitialize.c
- *
- *   Copyright (C) 2012 Gregory Nutt. All rights reserved.
- *   Author: Gregory Nutt 
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name NuttX nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ************************************************************************************/
-
-/************************************************************************************
- * Included Files
- ************************************************************************************/
-
-#include 
-
-#include 
-
-#include 
-
-//#include 
-//#include "chip.h"
-
-/************************************************************************************
- * Definitions
- ************************************************************************************/
-/* Debug ****************************************************************************/
-/* Non-standard debug that may be enabled just for testing the static constructors */
-
-#ifndef CONFIG_DEBUG
-#  undef CONFIG_DEBUG_CXX
-#endif
-
-#ifdef CONFIG_DEBUG_CXX
-#  define cxxdbg              dbg
-#  define cxxlldbg            lldbg
-#  ifdef CONFIG_DEBUG_VERBOSE
-#    define cxxvdbg           vdbg
-#    define cxxllvdbg         llvdbg
-#  else
-#    define cxxvdbg(x...)
-#    define cxxllvdbg(x...)
-#  endif
-#else
-#  define cxxdbg(x...)
-#  define cxxlldbg(x...)
-#  define cxxvdbg(x...)
-#  define cxxllvdbg(x...)
-#endif
-
-/************************************************************************************
- * Private Types
- ************************************************************************************/
-/* This type defines one entry in initialization array */
-
-typedef void (*initializer_t)(void);
-
-/************************************************************************************
- * External references
- ************************************************************************************/
-/* _sinit and _einit are symbols exported by the linker script that mark the
- * beginning and the end of the C++ initialization section.
- */
-
-extern initializer_t _sinit;
-extern initializer_t _einit;
-
-/* _stext and _etext are symbols exported by the linker script that mark the
- * beginning and the end of text.
- */
-
-extern uint32_t _stext;
-extern uint32_t _etext;
-
-/************************************************************************************
- * Private Functions
- ************************************************************************************/
-
-/************************************************************************************
- * Public Functions
- ************************************************************************************/
-
-/****************************************************************************
- * Name: up_cxxinitialize
- *
- * Description:
- *   If C++ and C++ static constructors are supported, then this function
- *   must be provided by board-specific logic in order to perform
- *   initialization of the static C++ class instances.
- *
- *   This function should then be called in the application-specific
- *   user_start logic in order to perform the C++ initialization.  NOTE
- *   that no component of the core NuttX RTOS logic is involved; This
- *   function defintion only provides the 'contract' between application
- *   specific C++ code and platform-specific toolchain support
- *
- ***************************************************************************/
-
-__EXPORT void up_cxxinitialize(void)
-{
-  initializer_t *initp;
-
-  cxxdbg("_sinit: %p _einit: %p _stext: %p _etext: %p\n",
-         &_sinit, &_einit, &_stext, &_etext);
-
-  /* Visit each entry in the initialzation table */
-
-  for (initp = &_sinit; initp != &_einit; initp++)
-    {
-      initializer_t initializer = *initp;
-      cxxdbg("initp: %p initializer: %p\n", initp, initializer);
-
-      /* Make sure that the address is non-NULL and lies in the text region
-       * defined by the linker script.  Some toolchains may put NULL values
-       * or counts in the initialization table
-       */
-
-      if ((void*)initializer > (void*)&_stext && (void*)initializer < (void*)&_etext)
-        {
-          cxxdbg("Calling %p\n", initializer);
-          initializer();
-        }
-    }
-}
diff --git a/apps/systemlib/uthash/doc/userguide.txt b/apps/systemlib/uthash/doc/userguide.txt
deleted file mode 100644
index 3e65a52fc..000000000
--- a/apps/systemlib/uthash/doc/userguide.txt
+++ /dev/null
@@ -1,1682 +0,0 @@
-uthash User Guide
-=================
-Troy D. Hanson 
-v1.9.6, April 2012
-
-include::sflogo.txt[]
-include::topnav.txt[]
-
-A hash in C
------------
-include::toc.txt[]
-
-This document is written for C programmers. Since you're reading this, chances
-are that you know a hash is used for looking up items using a key. In scripting
-languages like Perl, hashes are used all the time.  In C, hashes don't exist in
-the language itself. This software provides a hash table for C structures.  
-
-What can it do?
-~~~~~~~~~~~~~~~~~
-This software supports these operations on items in a hash table:
-
-1. add
-2. find
-3. delete
-4. count
-5. iterate
-6. sort
-7. select 
-
-Is it fast?
-~~~~~~~~~~~
-Add, find and delete are normally constant-time operations. This is influenced
-by your key domain and the hash function. 
-
-This hash aims to be minimalistic and efficient. It's around 900 lines of C.
-It inlines automatically because it's implemented as macros. It's fast as long
-as the hash function is suited to your keys. You can use the default hash
-function, or easily compare performance and choose from among several other
-<>. 
-
-Is it a library?
-~~~~~~~~~~~~~~~~
-No, it's just a single header file: `uthash.h`.  All you need to do is copy
-the header file into your project, and:
-
-    #include "uthash.h"
-
-Since uthash is a header file only, there is no library code to link against.
-
-C/C++ and platforms
-~~~~~~~~~~~~~~~~~~~
-This software can be used in C and C++ programs.  It has been tested on:
-
- * Linux
- * Mac OS X
- * Windows using Visual Studio 2008 and 2010
- * Solaris 
- * OpenBSD
- * FreeBSD
-
-Test suite
-^^^^^^^^^^
-To run the test suite, enter the `tests` directory. Then,
-
- * on Unix platforms, run `make` 
- * on Windows, run the "do_tests_win32.cmd" batch file. (You may edit the
-   batch file if your Visual Studio is installed in a non-standard location).
-
-BSD licensed
-~~~~~~~~~~~~
-This software is made available under the 
-link:license.html[revised BSD license]. 
-It is free and open source. 
-
-Obtaining uthash
-~~~~~~~~~~~~~~~~
-Please follow the link to download on the 
-http://uthash.sourceforge.net[uthash website] at http://uthash.sourceforge.net.
-
-A number of platforms include uthash in their package repositories. For example,
-Debian/Ubuntu users may simply `aptitude install uthash-dev`.
-
-Getting help
-~~~~~~~~~~~~
-Feel free to mailto:tdh@tkhanson.net[email the author] at
-tdh@tkhanson.net.
-
-Resources
-~~~~~~~~~
-Users of uthash may wish to follow the news feed for information about new
-releases. Also, there are some extra bonus headers included with uthash.
-
-News::
- The author has a news feed for http://troydhanson.wordpress.com/[software updates] image:img/rss.png[(RSS)].
-Extras included with uthash::
- uthash ships with these "extras"-- independent headers similar to uthash. 
- First link:utlist.html[utlist.h] provides linked list macros for C structures.
- Second, link:utarray.html[utarray.h] implements dynamic arrays using macros. 
- Third, link:utstring.html[utstring.h] implements a basic dynamic string.
-Other software::
- Other open-source software by the author is listed at http://tkhanson.net.
-
-Who's using it?
-~~~~~~~~~~~~~~~
-Since releasing uthash in 2006, it has been downloaded thousands of times,
-incorporated into commercial software, academic research, and into other
-open-source software.  
-
-Your structure
---------------
-
-In uthash, a hash table is comprised of structures. Each structure represents a
-key-value association. One or more of the structure fields constitute the key.
-The structure pointer itself is the value.
-
-.Defining a structure that can be hashed
-----------------------------------------------------------------------
-#include "uthash.h"
-
-struct my_struct {
-    int id;                    /* key */
-    char name[10];             
-    UT_hash_handle hh;         /* makes this structure hashable */
-};
-----------------------------------------------------------------------
-
-Note that, in uthash, your structure will never be moved or copied into another
-location when you add it into a hash table. This means that you can keep other
-data structures that safely point to your structure-- regardless of whether you
-add or delete it from a hash table during your program's lifetime.
-
-The key
-~~~~~~~
-There are no restrictions on the data type or name of the key field. The key
-can also comprise multiple contiguous fields, having any names and data types.
-
-.Any data type... really?
-*****************************************************************************
-Yes, your key and structure can have any data type. Unlike function calls with
-fixed prototypes, uthash consists of macros-- whose arguments are untyped-- and
-thus able to work with any type of structure or key.  
-*****************************************************************************
-
-Unique keys
-^^^^^^^^^^^
-As with any hash, every item must have a unique key.  Your application must
-enforce key uniqueness. Before you add an item to the hash table, you must
-first know (if in doubt, check!) that the key is not already in use.  You
-can check whether a key already exists in the hash table using `HASH_FIND`.
-
-The hash handle
-~~~~~~~~~~~~~~~
-The `UT_hash_handle` field must be present in your structure.  It is used for
-the internal bookkeeping that makes the hash work.  It does not require
-initialization. It can be named anything, but you can simplify matters by
-naming it `hh`. This allows you to use the easier "convenience" macros to add,
-find and delete items.
-
-A word about memory
-~~~~~~~~~~~~~~~~~~~
-Some have asked how uthash cleans up its internal memory. The answer is simple:
-'when you delete the final item' from a hash table, uthash releases all the
-internal memory associated with that hash table, and sets its pointer to NULL.
-
-Hash operations
----------------
-
-This section introduces the uthash macros by example. For a more succinct
-listing, see <>. 
-
-.Convenience vs. general macros:
-*****************************************************************************
-The uthash macros fall into two categories. The 'convenience' macros can be used
-with integer, pointer or string keys (and require that you chose the conventional
-name `hh` for the `UT_hash_handle` field).  The convenience macros take fewer
-arguments than the general macros, making their usage a bit simpler for these
-common types of keys. 
-
-The 'general' macros can be used for any types of keys, or for multi-field keys,
-or when the `UT_hash_handle` has been named something other than `hh`. These
-macros take more arguments and offer greater flexibility in return. But if the
-convenience macros suit your needs, use them-- your code will be more readable.
-*****************************************************************************
-
-Declare the hash
-~~~~~~~~~~~~~~~~
-Your hash must be declared as a `NULL`-initialized pointer to your structure.
-
-  struct my_struct *users = NULL;    /* important! initialize to NULL */
-
-Add item
-~~~~~~~~
-Allocate and initialize your structure as you see fit. The only aspect
-of this that matters to uthash is that your key must be initialized to
-a unique value. Then call `HASH_ADD`. (Here we use the convenience macro
-`HASH_ADD_INT`, which offers simplified usage for keys of type `int`).
-
-.Add an item to a hash
-----------------------------------------------------------------------
-void add_user(int user_id, char *name) {
-    struct my_struct *s;
-
-    s = malloc(sizeof(struct my_struct));
-    s->id = user_id;
-    strcpy(s->name, name);
-    HASH_ADD_INT( users, id, s );  /* id: name of key field */
-}
-----------------------------------------------------------------------
-
-The first parameter to `HASH_ADD_INT` is the hash table, and the
-second parameter is the 'name' of the key field. Here, this is `id`. The
-last parameter is a pointer to the structure being added.
-
-[[validc]]
-.Wait.. the field name is a parameter?
-*******************************************************************************
-If you find it strange that `id`, which is the 'name of a field' in the
-structure, can be passed as a parameter, welcome to the world of macros. Don't
-worry- the C preprocessor expands this to valid C code. 
-*******************************************************************************
-
-Key must not be modified while in-use
-^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
-Once a structure has been added to the hash, do not change the value of its key.
-Instead, delete the item from the hash, change the key, and then re-add it.
-
-Passing the hash pointer into functions
-^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
-In the example above `users` is a global variable, but what if the caller wanted
-to pass the hash pointer 'into' the `add_user` function? At first glance it would 
-appear that you could simply pass `users` as an argument, but that won't work
-right. 
-
-  /* bad */
-  void add_user(struct my_struct *users, int user_id, char *name) { 
-    ...
-    HASH_ADD_INT( users, id, s );  
-  }
-
-You really need to pass 'a pointer' to the hash pointer: 
-
-  /* good */
-  void add_user(struct my_struct **users, int user_id, char *name) { ...
-    ...
-    HASH_ADD_INT( *users, id, s );
-  }
-
-Note that we dereferenced the pointer in the `HASH_ADD` also.
-
-The reason it's necessary to deal with a pointer to the hash pointer is simple:
-the hash macros modify it (in other words, they modify the 'pointer itself' not
-just what it points to). 
-
-Find item 
-~~~~~~~~~
-To look up a structure in a hash, you need its key.  Then call `HASH_FIND`.
-(Here we use the convenience macro `HASH_FIND_INT` for keys of type `int`).
-
-.Find a structure using its key
-----------------------------------------------------------------------
-struct my_struct *find_user(int user_id) {
-    struct my_struct *s;
-
-    HASH_FIND_INT( users, &user_id, s );  /* s: output pointer */
-    return s;
-}
-----------------------------------------------------------------------
-
-Here, the hash table is `users`, and `&user_id` points to the key (an integer
-in this case).  Last, `s` is the 'output' variable of `HASH_FIND_INT`. The 
-final result is that `s` points to the structure with the given key, or
-is `NULL` if the key wasn't found in the hash.
-
-[NOTE]
-The middle argument is a 'pointer' to the key. You can't pass a literal key
-value to `HASH_FIND`. Instead assign the literal value to a variable, and pass
-a pointer to the variable.
-
-
-Delete item
-~~~~~~~~~~~
-To delete a structure from a hash, you must have a pointer to it. (If you only
-have the key, first do a `HASH_FIND` to get the structure pointer).
-
-.Delete an item from a hash
-----------------------------------------------------------------------
-void delete_user(struct my_struct *user) {
-    HASH_DEL( users, user);  /* user: pointer to deletee */
-    free(user);              /* optional; it's up to you! */
-}
-----------------------------------------------------------------------
-
-Here again, `users` is the hash table, and `user` is a pointer to the
-structure we want to remove from the hash.
-
-uthash never frees your structure
-^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
-Deleting a structure just removes it from the hash table-- it doesn't `free`
-it.  The choice of when to free your structure is entirely up to you; uthash
-will never free your structure.
-
-Delete can change the pointer
-^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
-The hash table pointer (which initially points to the first item added to the
-hash) can change in response to `HASH_DEL` (i.e. if you delete the first item
-in the hash table).
-
-Iterative deletion
-^^^^^^^^^^^^^^^^^^
-The `HASH_ITER` macro is a deletion-safe iteration construct which expands
-to a simple 'for' loop.
-
-.Delete all items from a hash
-----------------------------------------------------------------------
-void delete_all() {
-  struct my_struct *current_user, *tmp; 
-
-  HASH_ITER(hh, users, current_user, tmp) {
-    HASH_DEL(users,current_user);  /* delete; users advances to next */
-    free(current_user);            /* optional- if you want to free  */
-  } 
-}
-----------------------------------------------------------------------
-
-All-at-once deletion
-^^^^^^^^^^^^^^^^^^^^
-If you only want to delete all the items, but not free them or do any
-per-element clean up, you can do this more efficiently in a single operation:
-
-  HASH_CLEAR(hh,users);
-
-Afterward, the list head (here, `users`) will be set to `NULL`.
-
-Count items
-~~~~~~~~~~~
-
-The number of items in the hash table can be obtained using `HASH_COUNT`:
-
-.Count of items in the hash table
-----------------------------------------------------------------------
-unsigned int num_users;
-num_users = HASH_COUNT(users);
-printf("there are %u users\n", num_users);
-----------------------------------------------------------------------
-
-Incidentally, this works even the list (`users`, here) is `NULL`, in 
-which case the count is 0.
-
-Iterating and sorting 
-~~~~~~~~~~~~~~~~~~~~~
-
-You can loop over the items in the hash by starting from the beginning and
-following the `hh.next` pointer.
-
-.Iterating over all the items in a hash
-----------------------------------------------------------------------
-void print_users() {
-    struct my_struct *s;
-
-    for(s=users; s != NULL; s=s->hh.next) {
-        printf("user id %d: name %s\n", s->id, s->name);
-    }
-}
-----------------------------------------------------------------------
-
-There is also an `hh.prev` pointer you could use to iterate backwards through
-the hash, starting from any known item.
-
-[[deletesafe]]
-Deletion-safe iteration
-^^^^^^^^^^^^^^^^^^^^^^^
-In the example above, it would not be safe to delete and free `s` in the body
-of the 'for' loop, (because `s` is derefenced each time the loop iterates).
-This is easy to rewrite correctly (by copying the `s->hh.next` pointer to a
-temporary variable 'before' freeing `s`), but it comes up often enough that a
-deletion-safe iteration macro, `HASH_ITER`, is included. It expands to a
-`for`-loop header. Here is how it could be used to rewrite the last example:
-
-    struct my_struct *s, *tmp;
-
-    HASH_ITER(hh, users, s, tmp) {
-        printf("user id %d: name %s\n", s->id, s->name);
-        /* ... it is safe to delete and free s here */
-    }
-
-.A hash is also a doubly-linked list.
-*******************************************************************************
-Iterating backward and forward through the items in the hash is possible
-because of the `hh.prev` and `hh.next` fields. All the items in the hash can
-be reached by repeatedly following these pointers, thus the hash is also a
-doubly-linked list. 
-*******************************************************************************
-
-If you're using uthash in a C++ program, you need an extra cast on the `for`
-iterator, e.g., `s=(struct my_struct*)s->hh.next`.
-
-Sorted iteration
-^^^^^^^^^^^^^^^^
-The items in the hash are, by default, traversed in the order they were added
-("insertion order") when you follow the `hh.next` pointer. But you can sort
-the items into a new order using `HASH_SORT`. E.g.,
-
-    HASH_SORT( users, name_sort );
-
-The second argument is a pointer to a comparison function. It must accept two
-arguments which are pointers to two items to compare. Its return value should
-be less than zero, zero, or greater than zero, if the first item sorts before,
-equal to, or after the second item, respectively. (Just like `strcmp`).
-
-.Sorting the items in the hash
-----------------------------------------------------------------------
-int name_sort(struct my_struct *a, struct my_struct *b) {
-    return strcmp(a->name,b->name);
-}
-
-int id_sort(struct my_struct *a, struct my_struct *b) {
-    return (a->id - b->id);
-}
-
-void sort_by_name() {
-    HASH_SORT(users, name_sort);
-}
-
-void sort_by_id() {
-    HASH_SORT(users, id_sort);
-}
-----------------------------------------------------------------------
-
-When the items in the hash are sorted, the first item may change position.  In
-the example above, `users` may point to a different structure after calling
-`HASH_SORT`.
-
-A complete example
-~~~~~~~~~~~~~~~~~~
-
-We'll repeat all the code and embellish it with a `main()` function to form a
-working example. 
-
-If this code was placed in a file called `example.c` in the same directory as
-`uthash.h`, it could be compiled and run like this:
-
-    cc -o example example.c
-    ./example
-
-Follow the prompts to try the program.
-
-.A complete program 
-----------------------------------------------------------------------
-#include    /* gets */
-#include   /* atoi, malloc */
-#include   /* strcpy */
-#include "uthash.h"
-
-struct my_struct {
-    int id;                    /* key */
-    char name[10];             
-    UT_hash_handle hh;         /* makes this structure hashable */
-};
-
-struct my_struct *users = NULL;
-
-void add_user(int user_id, char *name) {
-    struct my_struct *s;
-
-    s = (struct my_struct*)malloc(sizeof(struct my_struct));
-    s->id = user_id;
-    strcpy(s->name, name);
-    HASH_ADD_INT( users, id, s );  /* id: name of key field */
-}
-
-struct my_struct *find_user(int user_id) {
-    struct my_struct *s;
-
-    HASH_FIND_INT( users, &user_id, s );  /* s: output pointer */
-    return s;
-}
-
-void delete_user(struct my_struct *user) {
-    HASH_DEL( users, user);  /* user: pointer to deletee */
-    free(user);
-}
-
-void delete_all() {
-  struct my_struct *current_user, *tmp; 
-
-  HASH_ITER(hh, users, current_user, tmp) {
-    HASH_DEL(users,current_user);  /* delete it (users advances to next) */
-    free(current_user);            /* free it */
-  } 
-}
-
-void print_users() {
-    struct my_struct *s;
-
-    for(s=users; s != NULL; s=(struct my_struct*)(s->hh.next)) {
-        printf("user id %d: name %s\n", s->id, s->name);
-    }
-}
-
-int name_sort(struct my_struct *a, struct my_struct *b) {
-    return strcmp(a->name,b->name);
-}
-
-int id_sort(struct my_struct *a, struct my_struct *b) {
-    return (a->id - b->id);
-}
-
-void sort_by_name() {
-    HASH_SORT(users, name_sort);
-}
-
-void sort_by_id() {
-    HASH_SORT(users, id_sort);
-}
-
-int main(int argc, char *argv[]) {
-    char in[10];
-    int id=1, running=1;
-    struct my_struct *s;
-    unsigned num_users;
-
-    while (running) {
-        printf("1. add user\n");
-        printf("2. find user\n");
-        printf("3. delete user\n");
-        printf("4. delete all users\n");
-        printf("5. sort items by name\n");
-        printf("6. sort items by id\n");
-        printf("7. print users\n");
-        printf("8. count users\n");
-        printf("9. quit\n");
-        gets(in);
-        switch(atoi(in)) {
-            case 1:
-                printf("name?\n");
-                add_user(id++, gets(in));
-                break;
-            case 2:
-                printf("id?\n");
-                s = find_user(atoi(gets(in)));
-                printf("user: %s\n", s ? s->name : "unknown");
-                break;
-            case 3:
-                printf("id?\n");
-                s = find_user(atoi(gets(in)));
-                if (s) delete_user(s);
-                else printf("id unknown\n");
-                break;
-            case 4:
-                delete_all();
-                break;
-            case 5:
-                sort_by_name();
-                break;
-            case 6:
-                sort_by_id();
-                break;
-            case 7:
-                print_users();
-                break;
-            case 8:
-                num_users=HASH_COUNT(users);
-                printf("there are %u users\n", num_users);
-                break;
-            case 9:
-                running=0;
-                break;
-        }
-    }
-
-    delete_all();  /* free any structures */
-    return 0;
-}
-----------------------------------------------------------------------
-
-This program is included in the distribution in `tests/example.c`. You can run
-`make example` in that directory to compile it easily.
-
-Standard key types
-------------------
-This section goes into specifics of how to work with different kinds of keys.
-You can use nearly any type of key-- integers, strings, pointers, structures, etc. 
-
-[NOTE]
-.A note about float
-================================================================================
-You can use floating point keys. This comes with the same caveats as with any
-program that tests floating point equality. In other words, even the tiniest
-difference in two floating point numbers makes them distinct keys.
-================================================================================
-
-Integer keys
-~~~~~~~~~~~~
-The preceding examples demonstrated use of integer keys. To recap, use the
-convenience macros `HASH_ADD_INT` and `HASH_FIND_INT` for structures with
-integer keys. (The other operations such as `HASH_DELETE` and `HASH_SORT` are
-the same for all types of keys).
-
-String keys
-~~~~~~~~~~~
-If your structure has a string key, the operations to use depend on whether your
-structure 'points to' the key (`char *`) or the string resides `within` the
-structure (`char a[10]`).  *This distinction is important*.  As we'll see below,
-you need to use `HASH_ADD_KEYPTR` when your structure 'points' to a key (that is,
-the key itself is 'outside' of the structure); in contrast, use `HASH_ADD_STR`
-for a string key that is contained *within* your structure.
-
-[NOTE]
-.char[ ] vs. char* 
-================================================================================
-The string is 'within' the structure in the first example below-- `name` is a
-`char[10]` field.  In the second example, the key is 'outside' of the
-structure-- `name` is a `char *`. So the first example uses `HASH_ADD_STR` but
-the second example uses `HASH_ADD_KEYPTR`.  For information on this macro, see
-the <>.
-================================================================================
-
-String 'within' structure
-^^^^^^^^^^^^^^^^^^^^^^^^^
-
-.A string-keyed hash (string within structure)
-----------------------------------------------------------------------
-#include   /* strcpy */
-#include   /* malloc */
-#include    /* printf */
-#include "uthash.h"
-
-struct my_struct {
-    char name[10];             /* key (string is WITHIN the structure) */
-    int id;                    
-    UT_hash_handle hh;         /* makes this structure hashable */
-};
-
-
-int main(int argc, char *argv[]) {
-    const char **n, *names[] = { "joe", "bob", "betty", NULL };
-    struct my_struct *s, *tmp, *users = NULL;
-    int i=0;
-
-    for (n = names; *n != NULL; n++) {
-        s = (struct my_struct*)malloc(sizeof(struct my_struct));
-        strncpy(s->name, *n,10);
-        s->id = i++;
-        HASH_ADD_STR( users, name, s );  
-    }
-
-    HASH_FIND_STR( users, "betty", s);
-    if (s) printf("betty's id is %d\n", s->id);
-
-    /* free the hash table contents */
-    HASH_ITER(hh, users, s, tmp) {
-      HASH_DEL(users, s);
-      free(s);
-    }
-    return 0;
-}
-----------------------------------------------------------------------
-
-This example is included in the distribution in `tests/test15.c`. It prints:
-
-    betty's id is 2
-
-String 'pointer' in structure
-^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
-
-Now, here is the same example but using a `char *` key instead of `char [ ]`:
-
-.A string-keyed hash (structure points to string)
-----------------------------------------------------------------------
-#include   /* strcpy */
-#include   /* malloc */
-#include    /* printf */
-#include "uthash.h"
-
-struct my_struct {
-    const char *name;          /* key */
-    int id;                    
-    UT_hash_handle hh;         /* makes this structure hashable */
-};
-
-
-int main(int argc, char *argv[]) {
-    const char **n, *names[] = { "joe", "bob", "betty", NULL };
-    struct my_struct *s, *tmp, *users = NULL;
-    int i=0;
-
-    for (n = names; *n != NULL; n++) {
-        s = (struct my_struct*)malloc(sizeof(struct my_struct));
-        s->name = *n;
-        s->id = i++;
-        HASH_ADD_KEYPTR( hh, users, s->name, strlen(s->name), s );  
-    }
-
-    HASH_FIND_STR( users, "betty", s);
-    if (s) printf("betty's id is %d\n", s->id);
-
-    /* free the hash table contents */
-    HASH_ITER(hh, users, s, tmp) {
-      HASH_DEL(users, s);
-      free(s);
-    }
-    return 0;
-}
-----------------------------------------------------------------------
-
-This example is included in `tests/test40.c`.
-
-Pointer keys
-~~~~~~~~~~~~
-Your key can be a pointer. To be very clear, this means the 'pointer itself'
-can be the key (in contrast, if the thing 'pointed to' is the key, this is a
-different use case handled by `HASH_ADD_KEYPTR`).
-
-Here is a simple example where a structure has a pointer member, called `key`.
-
-.A pointer key
-----------------------------------------------------------------------
-#include 
-#include 
-#include "uthash.h"
-
-typedef struct {
-  void *key;
-  int i;
-  UT_hash_handle hh;
-} el_t;
-
-el_t *hash = NULL;
-char *someaddr = NULL;
-
-int main() {
-  el_t *d;
-  el_t *e = (el_t*)malloc(sizeof(el_t));
-  if (!e) return -1;
-  e->key = (void*)someaddr;
-  e->i = 1;
-  HASH_ADD_PTR(hash,key,e);
-  HASH_FIND_PTR(hash, &someaddr, d);
-  if (d) printf("found\n");
-
-  /* release memory */
-  HASH_DEL(hash,e);
-  free(e);
-  return 0;
-}
-----------------------------------------------------------------------
-
-This example is included in `tests/test57.c`. Note that the end of the program
-deletes the element out of the hash, (and since no more elements remain in the
-hash), uthash releases its internal memory.
-
-Structure keys
-~~~~~~~~~~~~~~
-Your key field can have any data type. To uthash, it is just a sequence of
-bytes.  Therefore, even a nested structure can be used as a key. We'll use the
-general macros `HASH_ADD` and `HASH_FIND` to demonstrate.
-
-NOTE: Structures contain padding (wasted internal space used to fulfill
-alignment requirements for the members of the structure). These padding bytes
-'must be zeroed' before adding an item to the hash or looking up an item.
-Therefore always zero the whole structure before setting the members of
-interest. The example below does this-- see the two calls to `memset`.
-
-.A key which is a structure
-----------------------------------------------------------------------
-#include 
-#include 
-#include "uthash.h"
-
-typedef struct {
-  char a;
-  int b;
-} record_key_t;
-
-typedef struct {
-    record_key_t key;
-    /* ... other data ... */
-    UT_hash_handle hh;
-} record_t;
-
-int main(int argc, char *argv[]) {
-    record_t l, *p, *r, *tmp, *records = NULL;
-
-    r = (record_t*)malloc( sizeof(record_t) );
-    memset(r, 0, sizeof(record_t));
-    r->key.a = 'a';
-    r->key.b = 1;
-    HASH_ADD(hh, records, key, sizeof(record_key_t), r);
-
-    memset(&l, 0, sizeof(record_t));
-    l.key.a = 'a';
-    l.key.b = 1;
-    HASH_FIND(hh, records, &l.key, sizeof(record_key_t), p);
-
-    if (p) printf("found %c %d\n", p->key.a, p->key.b);
-
-    HASH_ITER(hh, records, p, tmp) {
-      HASH_DEL(records, p);
-      free(p);
-    }
-    return 0;
-}
-
-----------------------------------------------------------------------
-
-This usage is nearly the same as use of a compound key explained below.
-
-Note that the general macros require the name of the `UT_hash_handle` to be
-passed as the first argument (here, this is `hh`). The general macros are 
-documented in <>. 
-
-Advanced Topics
----------------
-
-Compound keys
-~~~~~~~~~~~~~
-Your key can even comprise multiple contiguous fields. 
-
-.A multi-field key
-----------------------------------------------------------------------
-#include     /* malloc       */
-#include     /* offsetof     */
-#include      /* printf       */
-#include     /* memset       */
-#include "uthash.h"
-
-#define UTF32 1
-
-typedef struct {
-  UT_hash_handle hh;
-  int len;
-  char encoding;      /* these two fields */
-  int text[];         /* comprise the key */
-} msg_t;
-
-typedef struct {
-    char encoding; 
-    int text[]; 
-} lookup_key_t;
-
-int main(int argc, char *argv[]) {
-    unsigned keylen;
-    msg_t *msg, *tmp, *msgs = NULL;
-    lookup_key_t *lookup_key;
-
-    int beijing[] = {0x5317, 0x4eac};   /* UTF-32LE for 北京 */
-
-    /* allocate and initialize our structure */
-    msg = (msg_t*)malloc( sizeof(msg_t) + sizeof(beijing) );
-    memset(msg, 0, sizeof(msg_t)+sizeof(beijing)); /* zero fill */
-    msg->len = sizeof(beijing);
-    msg->encoding = UTF32;
-    memcpy(msg->text, beijing, sizeof(beijing));
-
-    /* calculate the key length including padding, using formula */
-    keylen =   offsetof(msg_t, text)       /* offset of last key field */
-             + sizeof(beijing)             /* size of last key field */
-             - offsetof(msg_t, encoding);  /* offset of first key field */
-
-    /* add our structure to the hash table */
-    HASH_ADD( hh, msgs, encoding, keylen, msg);
-
-    /* look it up to prove that it worked :-) */
-    msg=NULL;
-
-    lookup_key = (lookup_key_t*)malloc(sizeof(*lookup_key) + sizeof(beijing));
-    memset(lookup_key, 0, sizeof(*lookup_key) + sizeof(beijing));
-    lookup_key->encoding = UTF32;
-    memcpy(lookup_key->text, beijing, sizeof(beijing));
-    HASH_FIND( hh, msgs, &lookup_key->encoding, keylen, msg );
-    if (msg) printf("found \n");
-    free(lookup_key);
-
-    HASH_ITER(hh, msgs, msg, tmp) {
-      HASH_DEL(msgs, msg);
-      free(msg);
-    }
-    return 0;
-}
-----------------------------------------------------------------------
-
-This example is included in the distribution in `tests/test22.c`.
-
-If you use multi-field keys, recognize that the compiler pads adjacent fields
-(by inserting unused space between them) in order to fulfill the alignment
-requirement of each field. For example a structure containing a `char` followed
-by an `int` will normally have 3 "wasted" bytes of padding after the char, in
-order to make the `int` field start on a multiple-of-4 address (4 is the length
-of the int). 
-
-.Calculating the length of a multi-field key:
-*******************************************************************************
-To determine the key length when using a multi-field key, you must include any
-intervening structure padding the compiler adds for alignment purposes.
-
-An easy way to calculate the key length is to use the `offsetof` macro from
-``.  The formula is:
-
-     key length =   offsetof(last_key_field) 
-                  + sizeof(last_key_field) 
-                  - offsetof(first_key_field)
-
-In the example above, the `keylen` variable is set using this formula.
-*******************************************************************************
-
-When dealing with a multi-field key, you must zero-fill your structure before
-`HASH_ADD`'ing it to a hash table, or using its fields in a `HASH_FIND` key.
-
-In the previous example, `memset` is used to initialize the structure by
-zero-filling it. This zeroes out any padding between the key fields. If we
-didn't zero-fill the structure, this padding would contain random values.  The
-random values would lead to `HASH_FIND` failures; as two "identical" keys will
-appear to mismatch if there are any differences within their padding.
-
-[[multilevel]]
-Multi-level hash tables
-~~~~~~~~~~~~~~~~~~~~~~~
-A multi-level hash table arises when each element of a hash table contains its
-own secondary hash table. There can be any number of levels. In a scripting
-language you might see:
-
-  $items{bob}{age}=37
-  
-The C program below builds this example in uthash: the hash table is called
-`items`. It contains one element (`bob`) whose own hash table contains one
-element (`age`) with value 37.  No special functions are necessary to build
-a multi-level hash table. 
-
-While this example represents both levels (`bob` and `age`) using the same
-structure, it would also be fine to use two different structure definitions.
-It would also be fine if there were three or more levels instead of two.
-
-.Multi-level hash table
-----------------------------------------------------------------------
-#include 
-#include 
-#include 
-#include "uthash.h"
-
-/* hash of hashes */
-typedef struct item {
-  char name[10];
-  struct item *sub;
-  int val;
-  UT_hash_handle hh;
-} item_t;
-
-item_t *items=NULL;
-
-int main(int argc, char *argvp[]) {
-  item_t *item1, *item2, *tmp1, *tmp2;
-
-  /* make initial element */
-  item_t *i = malloc(sizeof(*i));
-  strcpy(i->name, "bob");
-  i->sub = NULL;
-  i->val = 0;
-  HASH_ADD_STR(items, name, i);
-
-  /* add a sub hash table off this element */
-  item_t *s = malloc(sizeof(*s));
-  strcpy(s->name, "age");
-  s->sub = NULL;
-  s->val = 37;
-  HASH_ADD_STR(i->sub, name, s);
-
-  /* iterate over hash elements  */
-  HASH_ITER(hh, items, item1, tmp1) {
-    HASH_ITER(hh, item1->sub, item2, tmp2) {
-      printf("$items{%s}{%s} = %d\n", item1->name, item2->name, item2->val);
-    }
-  }
-
-  /* clean up both hash tables */
-  HASH_ITER(hh, items, item1, tmp1) {
-    HASH_ITER(hh, item1->sub, item2, tmp2) {
-      HASH_DEL(item1->sub, item2);
-      free(item2);
-    }
-    HASH_DEL(items, item1);
-    free(item1);
-  }
-
-  return 0;
-}
-----------------------------------------------------------------------
-The example above is included in `tests/test59.c`.  
-
-[[multihash]]
-Items in several hash tables
-~~~~~~~~~~~~~~~~~~~~~~~~~~~~
-A structure can be added to more than one hash table. A few reasons you might do
-this include:
-
-- each hash table may use an alternative key; 
-- each hash table may have its own sort order; 
-- or you might simply use multiple hash tables for grouping purposes.  E.g.,
-  you could have users in an `admin_users` and a `users` hash table. 
-
-Your structure needs to have a `UT_hash_handle` field for each hash table to
-which it might be added. You can name them anything. E.g.,
-
-  UT_hash_handle hh1, hh2;
-
-Items with alternative keys
-~~~~~~~~~~~~~~~~~~~~~~~~~~~
-You might create a hash table keyed on an ID field, and another hash table keyed
-on username (if usernames are unique). You can add the same user structure to
-both hash tables (without duplication of the structure), allowing lookup of a
-user structure by their name or ID.  The way to achieve this is to have a
-separate `UT_hash_handle` for each hash to which the structure may be added.
-
-.A structure with two alternative keys
-----------------------------------------------------------------------
-struct my_struct {
-    int id;                    /* usual key */
-    char username[10];         /* alternative key */
-    UT_hash_handle hh1;        /* handle for first hash table */
-    UT_hash_handle hh2;        /* handle for second hash table */
-};
-----------------------------------------------------------------------
-
-In the example above, the structure can now be added to two separate hash
-tables. In one hash, `id` is its key, while in the other hash, `username` is
-its key.  (There is no requirement that the two hashes have different key
-fields. They could both use the same key, such as `id`).
-
-Notice the structure has two hash handles (`hh1` and `hh2`).  In the code
-below, notice that each hash handle is used exclusively with a particular hash
-table.  (`hh1` is always used with the `users_by_id` hash, while `hh2` is
-always used with the `users_by_name` hash table).
-
-.Two keys on a structure
-----------------------------------------------------------------------
-    struct my_struct *users_by_id = NULL, *users_by_name = NULL, *s;
-    int i;
-    char *name;
-
-    s = malloc(sizeof(struct my_struct));
-    s->id = 1;
-    strcpy(s->username, "thanson");
-
-    /* add the structure to both hash tables */
-    HASH_ADD(hh1, users_by_id, id, sizeof(int), s);
-    HASH_ADD(hh2, users_by_name, username, strlen(s->username), s);
-
-    /* lookup user by ID in the "users_by_id" hash table */
-    i=1;
-    HASH_FIND(hh1, users_by_id, &i, sizeof(int), s);
-    if (s) printf("found id %d: %s\n", i, s->username);
-
-    /* lookup user by username in the "users_by_name" hash table */
-    name = "thanson";
-    HASH_FIND(hh2, users_by_name, name, strlen(name), s);
-    if (s) printf("found user %s: %d\n", name, s->id);
-----------------------------------------------------------------------
-
-
-Several sort orders
-~~~~~~~~~~~~~~~~~~~
-It comes as no suprise that two hash tables can have different sort orders, but
-this fact can also be used advantageously to sort the 'same items' in several
-ways. This is based on the ability to store a structure in several hash tables.
-
-Extending the previous example, suppose we have many users. We have added each
-user structure to the `users_by_id` hash table and the `users_by_name` hash table.
-(To reiterate, this is done without the need to have two copies of each structure).
-Now we can define two sort functions, then use `HASH_SRT`.
-
-  int sort_by_id(struct my_struct *a, struct my_struct *b) {
-    if (a->id == b->id) return 0;
-    return (a->id < b->id) ? -1 : 1;
-  }
-
-  int sort_by_name(struct my_struct *a, struct my_struct *b) {
-    return strcmp(a->username,b->username);
-  }
-
-  HASH_SRT(hh1, users_by_id, sort_by_id);
-  HASH_SRT(hh2, users_by_name, sort_by_name);
-
-Now iterating over the items in `users_by_id` will traverse them in id-order
-while, naturally, iterating over `users_by_name` will traverse them in
-name-order. The items are fully forward-and-backward linked in each order.
-So even for one set of users, we might store them in two hash tables to provide
-easy iteration in two different sort orders.
-
-Bloom filter (faster misses)
-~~~~~~~~~~~~~~~~~~~~~~~~~~~~
-Programs that generate a fair miss rate (`HASH_FIND` that result in `NULL`) may
-benefit from the built-in Bloom filter support. This is disabled by default,
-because programs that generate only hits would incur a slight penalty from it.
-Also, programs that do deletes should not use the Bloom filter. While the
-program would operate correctly, deletes diminish the benefit of the filter.
-To enable the Bloom filter, simply compile with `-DHASH_BLOOM=n` like:
-
-  -DHASH_BLOOM=27
-
-where the number can be any value up to 32 which determines the amount of memory
-used by the filter, as shown below. Using more memory makes the filter more
-accurate and has the potential to speed up your program by making misses bail
-out faster. 
-
-.Bloom filter sizes for selected values of n
-[width="50%",cols="10m,30",grid="none",options="header"]
-|=====================================================================
-| n   | Bloom filter size (per hash table)
-| 16  | 8 kilobytes
-| 20  | 128 kilobytes
-| 24  | 2 megabytes
-| 28  | 32 megabytes
-| 32  | 512 megabytes
-|=====================================================================
-
-Bloom filters are only a performance feature; they do not change the results of
-hash operations in any way. The only way to gauge whether or not a Bloom filter
-is right for your program is to test it. Reasonable values for the size of the
-Bloom filter are 16-32 bits.
-
-Select
-~~~~~~
-An experimental 'select' operation is provided that inserts those items from a
-source hash that satisfy a given condition into a destination hash. This
-insertion is done with somewhat more efficiency than if this were using
-`HASH_ADD`, namely because the hash function is not recalculated for keys of the
-selected items.  This operation does not remove any items from the source hash.
-Rather the selected items obtain dual presence in both hashes.  The destination
-hash may already have items in it; the selected items are added to it. In order
-for a structure to be usable with `HASH_SELECT`, it must have two or more hash
-handles. (As described <>, a structure can exist in many
-hash tables at the same time; it must have a separate hash handle for each one).
-
-  user_t *users=NULL, *admins=NULL; /* two hash tables */
-
-  typedef struct {
-      int id;
-      UT_hash_handle hh;  /* handle for users hash */
-      UT_hash_handle ah;  /* handle for admins hash */
-  } user_t;
-
-Now suppose we have added some users, and want to select just the administrator
-users who have id's less than 1024.
-
-  #define is_admin(x) (((user_t*)x)->id < 1024)
-  HASH_SELECT(ah,admins,hh,users,is_admin);
-
-The first two parameters are the 'destination' hash handle and hash table, the
-second two parameters are the 'source' hash handle and hash table, and the last
-parameter is the 'select condition'. Here we used a macro `is_admin()` but we
-could just as well have used a function.
-
-  int is_admin(void *userv) {
-    user_t *user = (user_t*)userv; 
-    return (user->id < 1024) ? 1 : 0;
-  }
-
-If the select condition always evaluates to true, this operation is
-essentially a 'merge' of the source hash into the destination hash. Of course,
-the source hash remains unchanged under any use of `HASH_SELECT`. It only adds
-items to the destination hash selectively.
-
-The two hash handles must differ. An example of using `HASH_SELECT` is included
-in `tests/test36.c`.
-
-
-[[hash_functions]]
-Built-in hash functions
-~~~~~~~~~~~~~~~~~~~~~~~
-Internally, a hash function transforms a key into a bucket number.  You don't
-have to take any action to use the default hash function, currently Jenkin's.
-
-Some programs may benefit from using another of the built-in hash functions.
-There is a simple analysis utility included with uthash to help you determine
-if another hash function will give you better performance.
-
-You can use a different hash function by compiling your program with
-`-DHASH_FUNCTION=HASH_xyz` where `xyz` is one of the symbolic names listed
-below. E.g., 
-
-    cc -DHASH_FUNCTION=HASH_BER -o program program.c
-
-.Built-in hash functions
-[width="50%",cols="^5m,20",grid="none",options="header"]
-|===============================================================================
-|Symbol |   Name    
-|JEN    |   Jenkins (default)
-|BER    |   Bernstein
-|SAX    |   Shift-Add-Xor
-|OAT    |   One-at-a-time
-|FNV    |   Fowler/Noll/Vo
-|SFH    |   Paul Hsieh 
-|MUR    |   MurmurHash v3 (see note)
-|===============================================================================
-
-[NOTE]
-.MurmurHash
-================================================================================
-A special symbol must be defined if you intend to use MurmurHash. To use it, add
-`-DHASH_USING_NO_STRICT_ALIASING` to your `CFLAGS`. And, if you are using
-the gcc compiler with optimization, add `-fno-strict-aliasing` to your `CFLAGS`.
-================================================================================
-
-Which hash function is best?
-^^^^^^^^^^^^^^^^^^^^^^^^^^^^
-You can easily determine the best hash function for your key domain. To do so,
-you'll need to run your program once in a data-collection pass, and then run
-the collected data through an included analysis utility.
-
-First you must build the analysis utility. From the top-level directory,
-
-    cd tests/
-    make
-
-We'll use `test14.c` to demonstrate the data-collection and analysis steps
-(here using `sh` syntax to redirect file descriptor 3 to a file):
-
-.Using keystats
---------------------------------------------------------------------------------
-% cc -DHASH_EMIT_KEYS=3 -I../src -o test14 test14.c
-% ./test14 3>test14.keys
-% ./keystats test14.keys
-fcn  ideal%     #items   #buckets  dup%  fl   add_usec  find_usec  del-all usec
----  ------ ---------- ---------- -----  -- ---------- ----------  ------------
-SFH   91.6%       1219        256    0%  ok         92        131            25
-FNV   90.3%       1219        512    0%  ok        107         97            31
-SAX   88.7%       1219        512    0%  ok        111        109            32
-OAT   87.2%       1219        256    0%  ok         99        138            26
-JEN   86.7%       1219        256    0%  ok         87        130            27
-BER   86.2%       1219        256    0%  ok        121        129            27
---------------------------------------------------------------------------------
-
-[NOTE]
-The number 3 in `-DHASH_EMIT_KEYS=3` is a file descriptor. Any file descriptor
-that your program doesn't use for its own purposes can be used instead of 3. 
-The data-collection mode enabled by `-DHASH_EMIT_KEYS=x` should not be used in
-production code. 
-
-Usually, you should just pick the first hash function that is listed. Here, this
-is `SFH`.  This is the function that provides the most even distribution for
-your keys. If several have the same `ideal%`, then choose the fastest one
-according to the `find_usec` column.
-
-keystats column reference
-^^^^^^^^^^^^^^^^^^^^^^^^^
-fcn::
-    symbolic name of hash function
-ideal%::
-    The percentage of items in the hash table which can be looked up within an
-    ideal number of steps. (Further explained below).
-#items::
-    the number of keys that were read in from the emitted key file
-#buckets::
-    the number of buckets in the hash after all the keys were added
-dup%::
-    the percent of duplicate keys encountered in the emitted key file.
-    Duplicates keys are filtered out to maintain key uniqueness. (Duplicates
-    are normal.  For example, if the application adds an item to a hash,
-    deletes it, then re-adds it, the key is written twice to the emitted file.)  
-flags::
-    this is either `ok`, or `nx` (noexpand) if the expansion inhibited flag is
-    set, described in <>.  It is not recommended
-    to use a hash function that has the `noexpand` flag set.
-add_usec::
-    the clock time in microseconds required to add all the keys to a hash
-find_usec::
-    the clock time in microseconds required to look up every key in the hash
-del-all usec::
-    the clock time in microseconds required to delete every item in the hash
-
-[[ideal]]
-ideal%
-^^^^^^
-
-.What is ideal%?
-*****************************************************************************
-The 'n' items in a hash are distributed into 'k' buckets. Ideally each bucket
-would contain an equal share '(n/k)' of the items. In other words, the maximum
-linear position of any item in a bucket chain would be 'n/k' if every bucket is
-equally used. If some buckets are overused and others are underused, the
-overused buckets will contain items whose linear position surpasses 'n/k'.
-Such items are considered non-ideal. 
-
-As you might guess, `ideal%` is the percentage of ideal items in the hash. These
-items have favorable linear positions in their bucket chains.  As `ideal%`
-approaches 100%, the hash table approaches constant-time lookup performance.
-*****************************************************************************
-
-[[hashscan]]
-hashscan
-~~~~~~~~
-NOTE: This utility is only available on Linux, and on FreeBSD (8.1 and up).
-
-A utility called `hashscan` is included in the `tests/` directory. It
-is built automatically when you run `make` in that directory. This tool
-examines a running process and reports on the uthash tables that it finds in
-that program's memory. It can also save the keys from each table in a format
-that can be fed into `keystats`.
-
-Here is an example of using `hashscan`. First ensure that it is built:
-
-    cd tests/
-    make
-
-Since `hashscan` needs a running program to inspect, we'll start up a simple
-program that makes a hash table and then sleeps as our test subject:
-
-    ./test_sleep &
-    pid: 9711
-
-Now that we have a test program, let's run `hashscan` on it:
-
-  ./hashscan 9711
-  Address            ideal    items  buckets mc fl bloom/sat fcn keys saved to
-  ------------------ ----- -------- -------- -- -- --------- --- -------------
-  0x862e038            81%    10000     4096 11 ok 16    14% JEN 
-
-If we wanted to copy out all its keys for external analysis using `keystats`,
-add the `-k` flag:
-
-  ./hashscan -k 9711
-  Address            ideal    items  buckets mc fl bloom/sat fcn keys saved to
-  ------------------ ----- -------- -------- -- -- --------- --- -------------
-  0x862e038            81%    10000     4096 11 ok 16    14% JEN /tmp/9711-0.key
-
-Now we could run `./keystats /tmp/9711-0.key` to analyze which hash function
-has the best characteristics on this set of keys.
-
-hashscan column reference
-^^^^^^^^^^^^^^^^^^^^^^^^^
-Address::
-    virtual address of the hash table
-ideal::
-    The percentage of items in the table which can be looked up within an ideal
-    number of steps. See <> in the `keystats` section.
-items::
-    number of items in the hash table
-buckets::
-    number of buckets in the hash table
-mc::
-    the maximum chain length found in the hash table (uthash usually tries to
-    keep fewer than 10 items in each bucket, or in some cases a multiple of 10)
-fl::
-    flags (either `ok`, or `NX` if the expansion-inhibited flag is set)
-bloom/sat::
-    if the hash table uses a Bloom filter, this is the size (as a power of two)
-    of the filter (e.g. 16 means the filter is 2^16 bits in size). The second
-    number is the "saturation" of the bits expressed as a percentage. The lower
-    the percentage, the more potential benefit to identify cache misses quickly. 
-fcn::
-    symbolic name of hash function 
-keys saved to::
-    file to which keys were saved, if any
-
-.How hashscan works
-*****************************************************************************
-When hashscan runs, it attaches itself to the target process, which suspends
-the target process momentarily. During this brief suspension, it scans the
-target's virtual memory for the signature of a uthash hash table. It then 
-checks if a valid hash table structure accompanies the signature and reports
-what it finds. When it detaches, the target process resumes running normally.
-The hashscan is performed "read-only"-- the target process is not modified.
-Since hashscan is analyzing a momentary snapshot of a running process, it may
-return different results from one run to another. 
-*****************************************************************************
-
-[[expansion]]
-Expansion internals
-~~~~~~~~~~~~~~~~~~~
-Internally this hash manages the number of buckets, with the goal of having
-enough buckets so that each one contains only a small number of items.  
-
-.Why does the number of buckets matter?
-********************************************************************************
-When looking up an item by its key, this hash scans linearly through the items
-in the appropriate bucket. In order for the linear scan to run in constant
-time, the number of items in each bucket must be bounded. This is accomplished
-by increasing the number of buckets as needed.
-********************************************************************************
-
-Normal expansion
-^^^^^^^^^^^^^^^^
-This hash attempts to keep fewer than 10 items in each bucket. When an item is
-added that would cause a bucket to exceed this number, the number of buckets in
-the hash is doubled and the items are redistributed into the new buckets. In an
-ideal world, each bucket will then contain half as many items as it did before.
-
-Bucket expansion occurs automatically and invisibly as needed. There is
-no need for the application to know when it occurs. 
-
-Per-bucket expansion threshold
-++++++++++++++++++++++++++++++
-Normally all buckets share the same threshold (10 items) at which point bucket
-expansion is triggered. During the process of bucket expansion, uthash can
-adjust this expansion-trigger threshold on a per-bucket basis if it sees that
-certain buckets are over-utilized. 
-
-When this threshold is adjusted, it goes from 10 to a multiple of 10 (for that
-particular bucket).  The multiple is based on how many times greater the actual
-chain length is than the ideal length. It is a practical measure to reduce
-excess bucket expansion in the case where a hash function over-utilizes a few
-buckets but has good overall distribution. However, if the overall distribution
-gets too bad, uthash changes tactics.
-
-Inhibited expansion
-^^^^^^^^^^^^^^^^^^^
-You usually don't need to know or worry about this, particularly if you used
-the `keystats` utility during development to select a good hash for your keys.
-
-A hash function may yield an uneven distribution of items across the buckets.
-In moderation this is not a problem. Normal bucket expansion takes place as
-the chain lengths grow. But when significant imbalance occurs (because the hash
-function is not well suited to the key domain), bucket expansion may be
-ineffective at reducing the chain lengths. 
-
-Imagine a very bad hash function which always puts every item in bucket 0. No
-matter how many times the number of buckets is doubled, the chain length of
-bucket 0 stays the same. In a situation like this, the best behavior is to 
-stop expanding, and accept O(n) lookup performance. This is what uthash
-does. It degrades gracefully if the hash function is ill-suited to the keys.
-
-If two consecutive bucket expansions yield `ideal%` values below 50%, uthash
-inhibits expansion for that hash table.  Once set, the 'bucket expansion
-inhibited' flag remains in effect as long as the hash has items in it.  
-Inhibited expansion may cause `HASH_FIND` to exhibit worse than constant-time
-performance. 
-
-Hooks
-~~~~~
-You don't need to use these hooks- they are only here if you want to modify
-the behavior of uthash.  Hooks can be used to change how uthash allocates 
-memory, and to run code in response to certain internal events. 
-
-malloc/free
-^^^^^^^^^^^
-By default this hash implementation uses `malloc` and `free` to manage memory.
-If your application uses its own custom allocator, this hash can use them too.
-
-.Specifying alternate memory management functions
-----------------------------------------------------------------------------
-#include "uthash.h"
-
-/* undefine the defaults */
-#undef uthash_malloc
-#undef uthash_free
-
-/* re-define, specifying alternate functions */
-#define uthash_malloc(sz) my_malloc(sz) 
-#define uthash_free(ptr,sz) my_free(ptr)    
-
-...
-----------------------------------------------------------------------------
-
-Notice that `uthash_free` receives two parameters. The `sz` parameter is for
-convenience on embedded platforms that manage their own memory.
-
-Out of memory
-^^^^^^^^^^^^^
-If memory allocation fails (i.e., the malloc function returned `NULL`), the
-default behavior is to terminate the process by calling `exit(-1)`. This can
-be modified by re-defining the `uthash_fatal` macro.
- 
-    #undef uthash_fatal
-    #define uthash_fatal(msg) my_fatal_function(msg);
-
-The fatal function should terminate the process or `longjmp` back to a safe
-place. Uthash does not support "returning a failure" if memory cannot be
-allocated.
-
-Internal events
-^^^^^^^^^^^^^^^
-There is no need for the application to set these hooks or take action in
-response to these events. They are mainly for diagnostic purposes.
-
-These two hooks are "notification" hooks which get executed if uthash is
-expanding buckets, or setting the 'bucket expansion inhibited' flag. Normally
-both of these hooks are undefined and thus compile away to nothing. 
-
-Expansion
-+++++++++
-There is a hook for the bucket expansion event.  
-
-.Bucket expansion hook
-----------------------------------------------------------------------------
-#include "uthash.h"
-
-#undef uthash_expand_fyi 
-#define uthash_expand_fyi(tbl) printf("expanded to %d buckets\n", tbl->num_buckets)
-
-...
-----------------------------------------------------------------------------
-
-Expansion-inhibition
-++++++++++++++++++++
-This hook can be defined to code to execute in the event that uthash decides to
-set the 'bucket expansion inhibited' flag. 
-
-.Bucket expansion inhibited hook
-----------------------------------------------------------------------------
-#include "uthash.h"
-
-#undef uthash_noexpand_fyi
-#define uthash_noexpand_fyi printf("warning: bucket expansion inhibited\n");
-
-...
-----------------------------------------------------------------------------
-
-
-Debug mode
-~~~~~~~~~~
-If a program that uses this hash is compiled with `-DHASH_DEBUG=1`, a special
-internal consistency-checking mode is activated.  In this mode, the integrity
-of the whole hash is checked following every add or delete operation.  This is
-for debugging the uthash software only, not for use in production code. 
-
-In the `tests/` directory, running `make debug` will run all the tests in
-this mode.
-
-In this mode, any internal errors in the hash data structure will cause a
-message to be printed to `stderr` and the program to exit.
-
-The `UT_hash_handle` data structure includes `next`, `prev`, `hh_next` and
-`hh_prev` fields.  The former two fields determine the "application" ordering
-(that is, insertion order-- the order the items were added).  The latter two
-fields determine the "bucket chain" order.  These link the `UT_hash_handles`
-together in a doubly-linked list that is a bucket chain.
-
-Checks performed in `-DHASH_DEBUG=1` mode:
-
-- the hash is walked in its entirety twice: once in 'bucket' order and a
-  second time in 'application' order
-- the total number of items encountered in both walks is checked against the
-  stored number
-- during the walk in 'bucket' order, each item's `hh_prev` pointer is compared
-  for equality with the last visited item
-- during the walk in 'application' order, each item's `prev` pointer is compared
-  for equality with the last visited item
-
-.Macro debugging:
-********************************************************************************
-Sometimes it's difficult to interpret a compiler warning on a line which
-contains a macro call.  In the case of uthash, one macro can expand to dozens of
-lines. In this case, it is helpful to expand the macros and then recompile.
-By doing so, the warning message will refer to the exact line within the macro.
-
-Here is an example of how to expand the macros and then recompile. This uses the
-`test1.c` program in the `tests/` subdirectory.
-
-  gcc -E -I../src test1.c > /tmp/a.c
-  egrep -v '^#' /tmp/a.c > /tmp/b.c
-  indent /tmp/b.c
-  gcc -o /tmp/b /tmp/b.c
-
-The last line compiles the original program (test1.c) with all macros expanded.
-If there was a warning, the referenced line number can be checked in `/tmp/b.c`.
-********************************************************************************
-
-Thread safety
-~~~~~~~~~~~~~
-You can use uthash in a threaded program. But you must do the locking. Use a
-read-write lock to protect against concurrent writes. It is ok to have
-concurrent readers (since uthash 1.5). 
-
-For example using pthreads you can create an rwlock like this:
-
-  pthread_rwlock_t lock;
-  if (pthread_rwlock_init(&lock,NULL) != 0) fatal("can't create rwlock");
-
-Then, readers must acquire the read lock before doing any `HASH_FIND` calls or
-before iterating over the hash elements:
-
-  if (pthread_rwlock_rdlock(&lock) != 0) fatal("can't get rdlock");
-  HASH_FIND_INT(elts, &i, e);
-  pthread_rwlock_unlock(&lock);
-  
-Writers must acquire the exclusive write lock before doing any update. Add,
-delete, and sort are all updates that must be locked.
-
-  if (pthread_rwlock_wrlock(&lock) != 0) fatal("can't get wrlock");
-  HASH_DEL(elts, e);
-  pthread_rwlock_unlock(&lock);
-
-If you prefer, you can use a mutex instead of a read-write lock, but this will
-reduce reader concurrency to a single thread at a time. 
-
-An example program using uthash with a read-write lock is included in
-`tests/threads/test1.c`.
-
-[[Macro_reference]]
-Macro reference
----------------
-
-Convenience macros
-~~~~~~~~~~~~~~~~~~
-The convenience macros do the same thing as the generalized macros, but
-require fewer arguments.  
-
-In order to use the convenience macros, 
-
-1. the structure's `UT_hash_handle` field must be named `hh`, and
-2. for add or find, the key field must be of type `int` or `char[]` or pointer
-
-.Convenience macros
-[width="90%",cols="10m,30m",grid="none",options="header"]
-|===============================================================================
-|macro         | arguments
-|HASH_ADD_INT  | (head, keyfield_name, item_ptr)
-|HASH_FIND_INT | (head, key_ptr, item_ptr)
-|HASH_ADD_STR  | (head, keyfield_name, item_ptr)
-|HASH_FIND_STR | (head, key_ptr, item_ptr)
-|HASH_ADD_PTR  | (head, keyfield_name, item_ptr)
-|HASH_FIND_PTR | (head, key_ptr, item_ptr)
-|HASH_DEL      | (head, item_ptr)
-|HASH_SORT     | (head, cmp)
-|HASH_COUNT    | (head)
-|===============================================================================
-
-General macros
-~~~~~~~~~~~~~~
-
-These macros add, find, delete and sort the items in a hash.  You need to 
-use the general macros if your `UT_hash_handle` is named something other
-than `hh`, or if your key's data type isn't `int` or `char[]`.
-
-.General macros
-[width="90%",cols="10m,30m",grid="none",options="header"]
-|===============================================================================
-|macro          | arguments
-|HASH_ADD       | (hh_name, head, keyfield_name, key_len, item_ptr)
-|HASH_ADD_KEYPTR| (hh_name, head, key_ptr, key_len, item_ptr)
-|HASH_FIND      | (hh_name, head, key_ptr, key_len, item_ptr)
-|HASH_DELETE    | (hh_name, head, item_ptr)
-|HASH_SRT       | (hh_name, head, cmp)
-|HASH_CNT       | (hh_name, head)
-|HASH_CLEAR     | (hh_name, head)
-|HASH_SELECT    | (dst_hh_name, dst_head, src_hh_name, src_head, condition)
-|HASH_ITER      | (hh_name, head, item_ptr, tmp_item_ptr)
-|===============================================================================
-
-[NOTE]
-`HASH_ADD_KEYPTR` is used when the structure contains a pointer to the
-key, rather than the key itself. 
-
-
-Argument descriptions
-^^^^^^^^^^^^^^^^^^^^^
-hh_name::
-    name of the `UT_hash_handle` field in the structure. Conventionally called
-    `hh`.
-head::
-    the structure pointer variable which acts as the "head" of the hash. So
-    named because it initially points to the first item that is added to the hash.
-keyfield_name::
-    the name of the key field in the structure. (In the case of a multi-field
-    key, this is the first field of the key). If you're new to macros, it
-    might seem strange to pass the name of a field as a parameter. See
-    <>.
-key_len::
-    the length of the key field in bytes. E.g. for an integer key, this is
-    `sizeof(int)`, while for a string key it's `strlen(key)`. (For a
-    multi-field key, see the notes in this guide on calculating key length).
-key_ptr::
-    for `HASH_FIND`, this is a pointer to the key to look up in the hash
-    (since it's a pointer, you can't directly pass a literal value here). For
-    `HASH_ADD_KEYPTR`, this is the address of the key of the item being added.
-item_ptr::
-    pointer to the structure being added, deleted, or looked up, or the current
-    pointer during iteration. This is an input parameter for `HASH_ADD` and
-    `HASH_DELETE` macros, and an output parameter for `HASH_FIND` and
-    `HASH_ITER`. (When using `HASH_ITER` to iterate, `tmp_item_ptr`
-    is another variable of the same type as `item_ptr`, used internally).
-cmp::
-    pointer to comparison function which accepts two arguments (pointers to
-    items to compare) and returns an int specifying whether the first item
-    should sort before, equal to, or after the second item (like `strcmp`).
-condition::
-    a function or macro which accepts a single argument-- a void pointer to a
-    structure, which needs to be cast to the appropriate structure type. The
-    function or macro should return (or evaluate to) a non-zero value if the
-    structure should be "selected" for addition to the destination hash.
-
-// vim: set tw=80 wm=2 syntax=asciidoc: 
-
diff --git a/apps/systemlib/uthash/doc/utarray.txt b/apps/systemlib/uthash/doc/utarray.txt
deleted file mode 100644
index 37830f124..000000000
--- a/apps/systemlib/uthash/doc/utarray.txt
+++ /dev/null
@@ -1,376 +0,0 @@
-utarray: dynamic array macros for C 
-===================================
-Troy D. Hanson 
-v1.9.5, November 2011
-
-include::sflogo.txt[]
-include::topnav_utarray.txt[]
-
-Introduction
-------------
-include::toc.txt[]
-
-A set of general-purpose dynamic array macros for C structures are included with
-uthash in `utarray.h`.  To use these macros in your own C program, just
-copy `utarray.h` into your source directory and use it in your programs.
-
-  #include "utarray.h"
-
-The dynamic array supports basic operations such as push, pop, and erase on the
-array elements. These array elements can be any simple datatype or structure.
-The array <> are based loosely on the C++ STL vector methods.
-
-Internally the dynamic array contains a contiguous memory region into which
-the elements are copied. This buffer is grown as needed using `realloc` to
-accomodate all the data that is pushed into it.
-
-Download
-~~~~~~~~
-To download the `utarray.h` header file, follow the link on the
-http://uthash.sourceforge.net[uthash home page]. 
-
-BSD licensed
-~~~~~~~~~~~~
-This software is made available under the 
-link:license.html[revised BSD license]. 
-It is free and open source. 
-
-Platforms
-~~~~~~~~~
-The 'utarray' macros have been tested on:
-
- * Linux, 
- * Mac OS X, 
- * Windows, using Visual Studio 2008 and Visual Studio 2010
-
-Usage 
------
-
-Declaration
-~~~~~~~~~~~
-
-The array itself has the data type `UT_array`, regardless of the type of
-elements to be stored in it. It is declared like,
-
-  UT_array *nums;
-
-New and free
-~~~~~~~~~~~~
-The next step is to create the array using `utarray_new`. Later when you're
-done with the array, `utarray_free` will free it and all its elements. 
-
-Push, pop, etc
-~~~~~~~~~~~~~~
-The central features of the utarray involve putting elements into it, taking
-them out, and iterating over them. There are several <>
-to pick from that deal with either single elements or ranges of elements at a
-time. In the examples below we will use only the push operation to insert
-elements. 
-
-Elements
---------
-
-Support for dynamic arrays of integers or strings is especially easy. These are
-best shown by example:
-
-Integers
-~~~~~~~~
-This example makes a utarray of integers, pushes 0-9 into it, then prints it.
-Lastly it frees it.
-
-.Integer elements
--------------------------------------------------------------------------------
-#include 
-#include "utarray.h"
-
-int main() {
-  UT_array *nums;
-  int i, *p;
-
-  utarray_new(nums,&ut_int_icd);  
-  for(i=0; i < 10; i++) utarray_push_back(nums,&i);
-
-  for(p=(int*)utarray_front(nums); 
-      p!=NULL; 
-      p=(int*)utarray_next(nums,p)) {
-    printf("%d\n",*p);
-  }
-
-  utarray_free(nums);
-
-  return 0;
-}
--------------------------------------------------------------------------------
-
-The second argument to `utarray_push_back` is always a 'pointer' to the type
-(so a literal cannot be used). So for integers, it is an `int*`.
-
-Strings
-~~~~~~~
-In this example we make a utarray of strings, push two strings into it, print
-it and free it.
-
-.String elements
--------------------------------------------------------------------------------
-#include 
-#include "utarray.h"
-
-int main() {
-  UT_array *strs;
-  char *s, **p;
-
-  utarray_new(strs,&ut_str_icd);
-
-  s = "hello"; utarray_push_back(strs, &s);
-  s = "world"; utarray_push_back(strs, &s);
-  p = NULL;
-  while ( (p=(char**)utarray_next(strs,p))) {
-    printf("%s\n",*p);
-  }
-
-  utarray_free(strs);
-
-  return 0;
-}
--------------------------------------------------------------------------------
-
-In this example, since the element is a `char*`, we pass a pointer to it
-(`char**`) as the second argument to `utarray_push_back`. Note that "push" makes
-a copy of the source string and pushes that copy into the array.
-
-About UT_icd
-~~~~~~~~~~~~
-
-Arrays be made of any type of element, not just integers and strings.  The
-elements can be basic types or structures. Unless you're dealing with integers
-and strings (which use pre-defined `ut_int_icd` and `ut_str_icd`), you'll need
-to define a `UT_icd` helper structure. This structure contains everything that
-utarray needs to initialize, copy or destruct elements.
-
-  typedef struct {
-      size_t sz;
-      init_f *init;
-      ctor_f *copy;
-      dtor_f *dtor;
-  } UT_icd;
-
-The three function pointers `init`, `copy`, and `dtor` have these prototypes:
-
-  typedef void (ctor_f)(void *dst, const void *src);
-  typedef void (dtor_f)(void *elt);
-  typedef void (init_f)(void *elt);
-
-The `sz` is just the size of the element being stored in the array.
-
-The `init` function will be invoked whenever utarray needs to initialize an
-empty element. This only happens as a byproduct of `utarray_resize` or
-`utarray_extend_back`. If `init` is `NULL`, it defaults to zero filling the
-new element using memset.
-
-The `copy` function is used whenever an element is copied into the array.
-It is invoked during `utarray_push_back`, `utarray_insert`, `utarray_inserta`,
-or `utarray_concat`. If `copy` is `NULL`, it defaults to a bitwise copy using
-memcpy.
-
-The `dtor` function is used to clean up an element that is being removed from
-the array. It may be invoked due to `utarray_resize`, `utarray_pop_back`,
-`utarray_erase`, `utarray_clear`, `utarray_done` or `utarray_free`. If the
-elements need no cleanup upon destruction, `dtor` may be `NULL`.
-
-Scalar types
-~~~~~~~~~~~~
-
-The next example uses `UT_icd` with all its defaults to make a utarray of
-`long` elements. This example pushes two longs, prints them, and frees the
-array.
-
-.long elements
--------------------------------------------------------------------------------
-#include 
-#include "utarray.h"
-
-UT_icd long_icd = {sizeof(long), NULL, NULL, NULL };
-
-int main() {
-  UT_array *nums;
-  long l, *p;
-  utarray_new(nums, &long_icd);
-
-  l=1; utarray_push_back(nums, &l);
-  l=2; utarray_push_back(nums, &l);
-
-  p=NULL;
-  while( (p=(long*)utarray_next(nums,p))) printf("%ld\n", *p);
-
-  utarray_free(nums);
-  return 0;
-}
--------------------------------------------------------------------------------
-
-Structures
-~~~~~~~~~~
-
-Structures can be used as utarray elements. If the structure requires no
-special effort to initialize, copy or destruct, we can use `UT_icd` with all
-its defaults. This example shows a structure that consists of two integers. Here
-we push two values, print them and free the array.
-
-.Structure (simple)
--------------------------------------------------------------------------------
-#include 
-#include "utarray.h"
-
-typedef struct {
-    int a;
-    int b;
-} intpair_t;
-
-UT_icd intpair_icd = {sizeof(intpair_t), NULL, NULL, NULL};
-
-int main() {
-
-  UT_array *pairs;
-  intpair_t ip, *p;
-  utarray_new(pairs,&intpair_icd);
-
-  ip.a=1;  ip.b=2;  utarray_push_back(pairs, &ip);
-  ip.a=10; ip.b=20; utarray_push_back(pairs, &ip);
-
-  for(p=(intpair_t*)utarray_front(pairs);
-      p!=NULL;
-      p=(intpair_t*)utarray_next(pairs,p)) {
-    printf("%d %d\n", p->a, p->b);
-  }
-
-  utarray_free(pairs);
-  return 0;
-}
--------------------------------------------------------------------------------
-
-The real utility of `UT_icd` is apparent when the elements of the utarray are
-structures that require special work to initialize, copy or destruct. 
-
-For example, when a structure contains pointers to related memory areas that
-need to be copied when the structure is copied (and freed when the structure is
-freed), we can use custom `init`, `copy`, and `dtor` members in the `UT_icd`.
-
-Here we take an example of a structure that contains an integer and a string.
-When this element is copied (such as when an element is pushed into the array),
-we want to "deep copy" the `s` pointer (so the original element and the new
-element point to their own copies of `s`). When an element is destructed, we
-want to "deep free" its copy of `s`. Lastly, this example is written to work
-even if `s` has the value `NULL`.
-
-.Structure (complex)
--------------------------------------------------------------------------------
-#include 
-#include 
-#include "utarray.h"
-
-typedef struct {
-    int a;
-    char *s;
-} intchar_t;
-
-void intchar_copy(void *_dst, const void *_src) {
-  intchar_t *dst = (intchar_t*)_dst, *src = (intchar_t*)_src;
-  dst->a = src->a;
-  dst->s = src->s ? strdup(src->s) : NULL;
-}
-
-void intchar_dtor(void *_elt) {
-  intchar_t *elt = (intchar_t*)_elt;
-  if (elt->s) free(elt->s);
-}
-
-UT_icd intchar_icd = {sizeof(intchar_t), NULL, intchar_copy, intchar_dtor};
-
-int main() {
-  UT_array *intchars;
-  intchar_t ic, *p;
-  utarray_new(intchars, &intchar_icd);
-
-  ic.a=1; ic.s="hello"; utarray_push_back(intchars, &ic);
-  ic.a=2; ic.s="world"; utarray_push_back(intchars, &ic);
-
-  p=NULL;
-  while( (p=(intchar_t*)utarray_next(intchars,p))) {
-    printf("%d %s\n", p->a, (p->s ? p->s : "null"));
-  }
-
-  utarray_free(intchars);
-  return 0;
-}
-
--------------------------------------------------------------------------------
-
-[[operations]]
-Reference
----------
-This table lists all the utarray operations. These are loosely based on the C++
-vector class.
-
-Operations
-~~~~~~~~~~
-
-[width="100%",cols="50
-v1.9.5, November 2011
-
-include::sflogo.txt[]
-include::topnav_utlist.txt[]
-
-Introduction
-------------
-include::toc.txt[]
-
-A set of general-purpose 'linked list' macros for C structures are included with
-uthash in `utlist.h`.  To use these macros in your own C program, just
-copy `utlist.h` into your source directory and use it in your programs.
-
-  #include "utlist.h"
-
-These macros support the basic linked list operations: adding and deleting
-elements, sorting them and iterating over them.
-
-Download
-~~~~~~~~
-To download the `utlist.h` header file, follow the link on the
-http://uthash.sourceforge.net[uthash home page]. 
-
-BSD licensed
-~~~~~~~~~~~~
-This software is made available under the 
-link:license.html[revised BSD license]. 
-It is free and open source. 
-
-Platforms
-~~~~~~~~~
-The 'utlist' macros have been tested on:
-
- * Linux, 
- * Mac OS X, and 
- * Windows, using Visual Studio 2008, Visual Studio 2010, or Cygwin/MinGW.
-
-Using utlist
-------------
-
-Types of lists
-~~~~~~~~~~~~~~
-Three types of linked lists are supported:
-
-- *singly-linked* lists,
-- *doubly-linked* lists, and
-- *circular, doubly-linked* lists
-
-Efficiency
-^^^^^^^^^^
-For all types of lists, prepending elements and deleting elements are
-constant-time operations. Appending to a singly-linked list is an 'O(n)'
-operation but appending to a doubly-linked list is constant time using these
-macros.  (This is because, in the utlist implementation of the doubly-linked
-list, the head element's `prev` member points back to the list tail, even when
-the list is non-circular). Sorting is an 'O(n log(n))' operation. Iteration
-and searching are `O(n)` for all list types.
-
-List elements
-~~~~~~~~~~~~~
-You can use any structure with these macros, as long as the structure 
-contains a `next` pointer. If you want to make a doubly-linked list, 
-the element also needs to have a `prev` pointer.
-
-  typedef struct element {
-      char *name;
-      struct element *prev; /* needed for a doubly-linked list only */
-      struct element *next; /* needed for singly- or doubly-linked lists */
-  } element;
-
-You can name your structure anything. In the example above it is called `element`.
-Within a particular list, all elements must be of the same type. 
-
-List head
-~~~~~~~~~
-The list head is simply a pointer to your element structure. You can name it
-anything. *It must be initialized to `NULL`*.
-
-  element *head = NULL;
-
-List operations
-~~~~~~~~~~~~~~~
-The lists support inserting or deleting elements, sorting the elements and 
-iterating over them.
-
-[width="100%",cols="10
-#include 
-#include 
-#include "utlist.h"
-
-#define BUFLEN 20
-
-typedef struct el {
-    char bname[BUFLEN];
-    struct el *next, *prev;
-} el;
-
-int namecmp(el *a, el *b) {
-    return strcmp(a->bname,b->bname);
-}
-
-el *head = NULL; /* important- initialize to NULL! */
-
-int main(int argc, char *argv[]) {
-    el *name, *elt, *tmp, etmp;
-
-    char linebuf[BUFLEN];
-    FILE *file;
-
-    if ( (file = fopen( "test11.dat", "r" )) == NULL ) {
-        perror("can't open: "); 
-        exit(-1);
-    }
-
-    while (fgets(linebuf,BUFLEN,file) != NULL) {
-        if ( (name = (el*)malloc(sizeof(el))) == NULL) exit(-1);
-        strncpy(name->bname,linebuf,BUFLEN);
-        DL_APPEND(head, name);
-    }
-    DL_SORT(head, namecmp);
-    DL_FOREACH(head,elt) printf("%s", elt->bname);
-
-    memcpy(&etmp.bname, "WES\n", 5);
-    DL_SEARCH(head,elt,&etmp,namecmp);
-    if (elt) printf("found %s\n", elt->bname);
-
-    /* now delete each element, use the safe iterator */
-    DL_FOREACH_SAFE(head,elt,tmp) {
-      DL_DELETE(head,elt);
-    }
-
-    fclose(file);
-
-    return 0;
-}
---------------------------------------------------------------------------------
-
-// vim: set nowrap syntax=asciidoc: 
-
diff --git a/apps/systemlib/uthash/doc/utstring.txt b/apps/systemlib/uthash/doc/utstring.txt
deleted file mode 100644
index abfdcd107..000000000
--- a/apps/systemlib/uthash/doc/utstring.txt
+++ /dev/null
@@ -1,178 +0,0 @@
-utstring: dynamic string macros for C 
-=====================================
-Troy D. Hanson 
-v1.9.5, November 2011
-
-include::sflogo.txt[]
-include::topnav_utstring.txt[]
-
-Introduction
-------------
-include::toc.txt[]
-
-A set of very basic dynamic string macros for C programs are included with
-uthash in `utstring.h`.  To use these macros in your own C program, just
-copy `utstring.h` into your source directory and use it in your programs.
-
-  #include "utstring.h"
-
-The dynamic string supports basic operations such as inserting data (including
-binary data-- despite its name, utstring is not limited to string content),
-concatenation, getting the length and content, and clearing it.  The string
-<> are listed below.
-
-Download
-~~~~~~~~
-To download the `utstring.h` header file, follow the link on the
-http://uthash.sourceforge.net[uthash home page]. 
-
-BSD licensed
-~~~~~~~~~~~~
-This software is made available under the 
-link:license.html[revised BSD license]. 
-It is free and open source. 
-
-Platforms
-~~~~~~~~~
-The 'utstring' macros have been tested on:
-
- * Linux, 
- * Windows, using Visual Studio 2008 and Visual Studio 2010
-
-Usage 
------
-
-Declaration
-~~~~~~~~~~~
-
-The dynamic string itself has the data type `UT_string`.  It is declared like,
-
-  UT_string *str;
-
-New and free
-~~~~~~~~~~~~
-The next step is to create the string using `utstring_new`. Later when you're
-done with it, `utstring_free` will free it and all its content. 
-
-Manipulation
-~~~~~~~~~~~~
-The `utstring_printf` or `utstring_bincpy` operations insert (copy) data into
-the string. To concatenate one utstring to another, use `utstring_concat`.  To
-clear the content of the string, use `utstring_clear`. The length of the string
-is available from `utstring_len`, and its content from `utstring_body`. This 
-evaluates to a `char*`.  The buffer it points to is always null-terminated.
-So, it can be used directly with external functions that expect a string.
-This automatic null terminator is not counted in the length of the string.
-
-Samples
-~~~~~~~
-
-These examples show how to use utstring.
-
-.Sample 1
--------------------------------------------------------------------------------
-#include 
-#include "utstring.h"
-
-int main() {
-    UT_string *s;
-
-    utstring_new(s);
-    utstring_printf(s, "hello world!" );
-    printf("%s\n", utstring_body(s));
-
-    utstring_free(s);
-    return 0;
-}
--------------------------------------------------------------------------------
-
-The next example is meant to demonstrate that printf 'appends' to the string.
-It also shows concatenation.
-
-.Sample 2
--------------------------------------------------------------------------------
-#include 
-#include "utstring.h"
-
-int main() {
-    UT_string *s, *t;
-
-    utstring_new(s);
-    utstring_new(t);
-
-    utstring_printf(s, "hello " );
-    utstring_printf(s, "world " );
-
-    utstring_printf(t, "hi " );
-    utstring_printf(t, "there " );
-
-    utstring_concat(s, t);
-    printf("length: %u\n", utstring_len(s));
-    printf("%s\n", utstring_body(s));
-
-    utstring_free(s);
-    utstring_free(t);
-    return 0;
-}
--------------------------------------------------------------------------------
-
-The last example shows how binary data can be inserted into the string. It also
-clears the string and prints new data into it.
-
-.Sample 3
--------------------------------------------------------------------------------
-#include 
-#include "utstring.h"
-
-int main() {
-    UT_string *s;
-    char binary[] = "\xff\xff";
-
-    utstring_new(s);
-    utstring_bincpy(s, binary, sizeof(binary));
-    printf("length is %u\n", utstring_len(s));
-
-    utstring_clear(s);
-    utstring_printf(s,"number %d", 10);
-    printf("%s\n", utstring_body(s));
-
-    utstring_free(s);
-    return 0;
-}
--------------------------------------------------------------------------------
-
-[[operations]]
-Reference
----------
-These are the utstring operations. 
-
-Operations
-~~~~~~~~~~
-
-[width="100%",cols="50  /* size_t */
-#include   /* memset, etc */
-#include   /* exit */
-
-#define oom() exit(-1)
-
-typedef void (ctor_f)(void *dst, const void *src);
-typedef void (dtor_f)(void *elt);
-typedef void (init_f)(void *elt);
-typedef struct {
-    size_t sz;
-    init_f *init;
-    ctor_f *copy;
-    dtor_f *dtor;
-} UT_icd;
-
-typedef struct {
-    unsigned i,n;/* i: index of next available slot, n: num slots */
-    UT_icd icd;  /* initializer, copy and destructor functions */
-    char *d;     /* n slots of size icd->sz*/
-} UT_array;
-
-#define utarray_init(a,_icd) do {                                             \
-  memset(a,0,sizeof(UT_array));                                               \
-  (a)->icd=*_icd;                                                             \
-} while(0)
-
-#define utarray_done(a) do {                                                  \
-  if ((a)->n) {                                                               \
-    if ((a)->icd.dtor) {                                                      \
-      size_t _ut_i;                                                           \
-      for(_ut_i=0; _ut_i < (a)->i; _ut_i++) {                                 \
-        (a)->icd.dtor(utarray_eltptr(a,_ut_i));                               \
-      }                                                                       \
-    }                                                                         \
-    free((a)->d);                                                             \
-  }                                                                           \
-  (a)->n=0;                                                                   \
-} while(0)
-
-#define utarray_new(a,_icd) do {                                              \
-  a=(UT_array*)malloc(sizeof(UT_array));                                      \
-  utarray_init(a,_icd);                                                       \
-} while(0)
-
-#define utarray_free(a) do {                                                  \
-  utarray_done(a);                                                            \
-  free(a);                                                                    \
-} while(0)
-
-#define utarray_reserve(a,by) do {                                            \
-  if (((a)->i+by) > ((a)->n)) {                                               \
-    while(((a)->i+by) > ((a)->n)) { (a)->n = ((a)->n ? (2*(a)->n) : 8); }     \
-    if ( ((a)->d=(char*)realloc((a)->d, (a)->n*(a)->icd.sz)) == NULL) oom();  \
-  }                                                                           \
-} while(0)
-
-#define utarray_push_back(a,p) do {                                           \
-  utarray_reserve(a,1);                                                       \
-  if ((a)->icd.copy) { (a)->icd.copy( _utarray_eltptr(a,(a)->i++), p); }      \
-  else { memcpy(_utarray_eltptr(a,(a)->i++), p, (a)->icd.sz); };              \
-} while(0)
-
-#define utarray_pop_back(a) do {                                              \
-  if ((a)->icd.dtor) { (a)->icd.dtor( _utarray_eltptr(a,--((a)->i))); }       \
-  else { (a)->i--; }                                                          \
-} while(0)
-
-#define utarray_extend_back(a) do {                                           \
-  utarray_reserve(a,1);                                                       \
-  if ((a)->icd.init) { (a)->icd.init(_utarray_eltptr(a,(a)->i)); }            \
-  else { memset(_utarray_eltptr(a,(a)->i),0,(a)->icd.sz); }                   \
-  (a)->i++;                                                                   \
-} while(0)
-
-#define utarray_len(a) ((a)->i)
-
-#define utarray_eltptr(a,j) (((j) < (a)->i) ? _utarray_eltptr(a,j) : NULL)
-#define _utarray_eltptr(a,j) ((char*)((a)->d + ((a)->icd.sz*(j) )))
-
-#define utarray_insert(a,p,j) do {                                            \
-  utarray_reserve(a,1);                                                       \
-  if (j > (a)->i) break;                                                      \
-  if ((j) < (a)->i) {                                                         \
-    memmove( _utarray_eltptr(a,(j)+1), _utarray_eltptr(a,j),                  \
-             ((a)->i - (j))*((a)->icd.sz));                                   \
-  }                                                                           \
-  if ((a)->icd.copy) { (a)->icd.copy( _utarray_eltptr(a,j), p); }             \
-  else { memcpy(_utarray_eltptr(a,j), p, (a)->icd.sz); };                     \
-  (a)->i++;                                                                   \
-} while(0)
-
-#define utarray_inserta(a,w,j) do {                                           \
-  if (utarray_len(w) == 0) break;                                             \
-  if (j > (a)->i) break;                                                      \
-  utarray_reserve(a,utarray_len(w));                                          \
-  if ((j) < (a)->i) {                                                         \
-    memmove(_utarray_eltptr(a,(j)+utarray_len(w)),                            \
-            _utarray_eltptr(a,j),                                             \
-            ((a)->i - (j))*((a)->icd.sz));                                    \
-  }                                                                           \
-  if ((a)->icd.copy) {                                                        \
-    size_t _ut_i;                                                             \
-    for(_ut_i=0;_ut_i<(w)->i;_ut_i++) {                                       \
-      (a)->icd.copy(_utarray_eltptr(a,j+_ut_i), _utarray_eltptr(w,_ut_i));    \
-    }                                                                         \
-  } else {                                                                    \
-    memcpy(_utarray_eltptr(a,j), _utarray_eltptr(w,0),                        \
-           utarray_len(w)*((a)->icd.sz));                                     \
-  }                                                                           \
-  (a)->i += utarray_len(w);                                                   \
-} while(0)
-
-#define utarray_resize(dst,num) do {                                          \
-  size_t _ut_i;                                                               \
-  if (dst->i > (size_t)(num)) {                                               \
-    if ((dst)->icd.dtor) {                                                    \
-      for(_ut_i=num; _ut_i < dst->i; _ut_i++) {                               \
-        (dst)->icd.dtor(utarray_eltptr(dst,_ut_i));                           \
-      }                                                                       \
-    }                                                                         \
-  } else if (dst->i < (size_t)(num)) {                                        \
-    utarray_reserve(dst,num-dst->i);                                          \
-    if ((dst)->icd.init) {                                                    \
-      for(_ut_i=dst->i; _ut_i < num; _ut_i++) {                               \
-        (dst)->icd.init(utarray_eltptr(dst,_ut_i));                           \
-      }                                                                       \
-    } else {                                                                  \
-      memset(_utarray_eltptr(dst,dst->i),0,(dst)->icd.sz*(num-dst->i));       \
-    }                                                                         \
-  }                                                                           \
-  dst->i = num;                                                               \
-} while(0)
-
-#define utarray_concat(dst,src) do {                                          \
-  utarray_inserta((dst),(src),utarray_len(dst));                              \
-} while(0)
-
-#define utarray_erase(a,pos,len) do {                                         \
-  if ((a)->icd.dtor) {                                                        \
-    size_t _ut_i;                                                             \
-    for(_ut_i=0; _ut_i < len; _ut_i++) {                                      \
-      (a)->icd.dtor(utarray_eltptr((a),pos+_ut_i));                           \
-    }                                                                         \
-  }                                                                           \
-  if ((a)->i > (pos+len)) {                                                   \
-    memmove( _utarray_eltptr((a),pos), _utarray_eltptr((a),pos+len),          \
-            (((a)->i)-(pos+len))*((a)->icd.sz));                              \
-  }                                                                           \
-  (a)->i -= (len);                                                            \
-} while(0)
-
-#define utarray_renew(a,u) do {                                               \
-  if (a) utarray_clear(a); \
-  else utarray_new((a),(u));   \
-} while(0) 
-
-#define utarray_clear(a) do {                                                 \
-  if ((a)->i > 0) {                                                           \
-    if ((a)->icd.dtor) {                                                      \
-      size_t _ut_i;                                                           \
-      for(_ut_i=0; _ut_i < (a)->i; _ut_i++) {                                 \
-        (a)->icd.dtor(utarray_eltptr(a,_ut_i));                               \
-      }                                                                       \
-    }                                                                         \
-    (a)->i = 0;                                                               \
-  }                                                                           \
-} while(0)
-
-#define utarray_sort(a,cmp) do {                                              \
-  qsort((a)->d, (a)->i, (a)->icd.sz, cmp);                                    \
-} while(0)
-
-#define utarray_find(a,v,cmp) bsearch((v),(a)->d,(a)->i,(a)->icd.sz,cmp)
-
-#define utarray_front(a) (((a)->i) ? (_utarray_eltptr(a,0)) : NULL)
-#define utarray_next(a,e) (((e)==NULL) ? utarray_front(a) : ((((a)->i) > (utarray_eltidx(a,e)+1)) ? _utarray_eltptr(a,utarray_eltidx(a,e)+1) : NULL))
-#define utarray_prev(a,e) (((e)==NULL) ? utarray_back(a) : ((utarray_eltidx(a,e) > 0) ? _utarray_eltptr(a,utarray_eltidx(a,e)-1) : NULL))
-#define utarray_back(a) (((a)->i) ? (_utarray_eltptr(a,(a)->i-1)) : NULL)
-#define utarray_eltidx(a,e) (((char*)(e) >= (char*)((a)->d)) ? (((char*)(e) - (char*)((a)->d))/(a)->icd.sz) : -1)
-
-/* last we pre-define a few icd for common utarrays of ints and strings */
-static void utarray_str_cpy(void *dst, const void *src) {
-  char **_src = (char**)src, **_dst = (char**)dst;
-  *_dst = (*_src == NULL) ? NULL : strdup(*_src);
-}
-static void utarray_str_dtor(void *elt) {
-  char **eltc = (char**)elt;
-  if (*eltc) free(*eltc);
-}
-static const UT_icd ut_str_icd _UNUSED_ = {sizeof(char*),NULL,utarray_str_cpy,utarray_str_dtor};
-static const UT_icd ut_int_icd _UNUSED_ = {sizeof(int),NULL,NULL,NULL};
-static const UT_icd ut_ptr_icd _UNUSED_ = {sizeof(void*),NULL,NULL,NULL};
-
-
-#endif /* UTARRAY_H */
diff --git a/apps/systemlib/uthash/uthash.h b/apps/systemlib/uthash/uthash.h
deleted file mode 100644
index 9f83fc34f..000000000
--- a/apps/systemlib/uthash/uthash.h
+++ /dev/null
@@ -1,915 +0,0 @@
-/*
-Copyright (c) 2003-2012, Troy D. Hanson     http://uthash.sourceforge.net
-All rights reserved.
-
-Redistribution and use in source and binary forms, with or without
-modification, are permitted provided that the following conditions are met:
-
-    * Redistributions of source code must retain the above copyright
-      notice, this list of conditions and the following disclaimer.
-
-THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS
-IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
-TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A
-PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER
-OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
-PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
-PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
-LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
-NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
-SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
-*/
-
-#ifndef UTHASH_H
-#define UTHASH_H 
-
-#include    /* memcmp,strlen */
-#include    /* ptrdiff_t */
-#include    /* exit() */
-
-/* These macros use decltype or the earlier __typeof GNU extension.
-   As decltype is only available in newer compilers (VS2010 or gcc 4.3+
-   when compiling c++ source) this code uses whatever method is needed
-   or, for VS2008 where neither is available, uses casting workarounds. */
-#ifdef _MSC_VER         /* MS compiler */
-#if _MSC_VER >= 1600 && defined(__cplusplus)  /* VS2010 or newer in C++ mode */
-#define DECLTYPE(x) (decltype(x))
-#else                   /* VS2008 or older (or VS2010 in C mode) */
-#define NO_DECLTYPE
-#define DECLTYPE(x)
-#endif
-#else                   /* GNU, Sun and other compilers */
-#define DECLTYPE(x) (__typeof(x))
-#endif
-
-#ifdef NO_DECLTYPE
-#define DECLTYPE_ASSIGN(dst,src)                                                 \
-do {                                                                             \
-  char **_da_dst = (char**)(&(dst));                                             \
-  *_da_dst = (char*)(src);                                                       \
-} while(0)
-#else 
-#define DECLTYPE_ASSIGN(dst,src)                                                 \
-do {                                                                             \
-  (dst) = DECLTYPE(dst)(src);                                                    \
-} while(0)
-#endif
-
-/* a number of the hash function use uint32_t which isn't defined on win32 */
-#ifdef _MSC_VER
-typedef unsigned int uint32_t;
-typedef unsigned char uint8_t;
-#else
-#include    /* uint32_t */
-#endif
-
-#define UTHASH_VERSION 1.9.6
-
-#ifndef uthash_fatal
-#define uthash_fatal(msg) exit(-1)        /* fatal error (out of memory,etc) */
-#endif
-#ifndef uthash_malloc
-#define uthash_malloc(sz) malloc(sz)      /* malloc fcn                      */
-#endif
-#ifndef uthash_free
-#define uthash_free(ptr,sz) free(ptr)     /* free fcn                        */
-#endif
-
-#ifndef uthash_noexpand_fyi
-#define uthash_noexpand_fyi(tbl)          /* can be defined to log noexpand  */
-#endif
-#ifndef uthash_expand_fyi
-#define uthash_expand_fyi(tbl)            /* can be defined to log expands   */
-#endif
-
-/* initial number of buckets */
-#define HASH_INITIAL_NUM_BUCKETS 32      /* initial number of buckets        */
-#define HASH_INITIAL_NUM_BUCKETS_LOG2 5  /* lg2 of initial number of buckets */
-#define HASH_BKT_CAPACITY_THRESH 10      /* expand when bucket count reaches */
-
-/* calculate the element whose hash handle address is hhe */
-#define ELMT_FROM_HH(tbl,hhp) ((void*)(((char*)(hhp)) - ((tbl)->hho)))
-
-#define HASH_FIND(hh,head,keyptr,keylen,out)                                     \
-do {                                                                             \
-  unsigned _hf_bkt,_hf_hashv;                                                    \
-  out=NULL;                                                                      \
-  if (head) {                                                                    \
-     HASH_FCN(keyptr,keylen, (head)->hh.tbl->num_buckets, _hf_hashv, _hf_bkt);   \
-     if (HASH_BLOOM_TEST((head)->hh.tbl, _hf_hashv)) {                           \
-       HASH_FIND_IN_BKT((head)->hh.tbl, hh, (head)->hh.tbl->buckets[ _hf_bkt ],  \
-                        keyptr,keylen,out);                                      \
-     }                                                                           \
-  }                                                                              \
-} while (0)
-
-#ifdef HASH_BLOOM
-#define HASH_BLOOM_BITLEN (1ULL << HASH_BLOOM)
-#define HASH_BLOOM_BYTELEN (HASH_BLOOM_BITLEN/8) + ((HASH_BLOOM_BITLEN%8) ? 1:0)
-#define HASH_BLOOM_MAKE(tbl)                                                     \
-do {                                                                             \
-  (tbl)->bloom_nbits = HASH_BLOOM;                                               \
-  (tbl)->bloom_bv = (uint8_t*)uthash_malloc(HASH_BLOOM_BYTELEN);                 \
-  if (!((tbl)->bloom_bv))  { uthash_fatal( "out of memory"); }                   \
-  memset((tbl)->bloom_bv, 0, HASH_BLOOM_BYTELEN);                                \
-  (tbl)->bloom_sig = HASH_BLOOM_SIGNATURE;                                       \
-} while (0) 
-
-#define HASH_BLOOM_FREE(tbl)                                                     \
-do {                                                                             \
-  uthash_free((tbl)->bloom_bv, HASH_BLOOM_BYTELEN);                              \
-} while (0) 
-
-#define HASH_BLOOM_BITSET(bv,idx) (bv[(idx)/8] |= (1U << ((idx)%8)))
-#define HASH_BLOOM_BITTEST(bv,idx) (bv[(idx)/8] & (1U << ((idx)%8)))
-
-#define HASH_BLOOM_ADD(tbl,hashv)                                                \
-  HASH_BLOOM_BITSET((tbl)->bloom_bv, (hashv & (uint32_t)((1ULL << (tbl)->bloom_nbits) - 1)))
-
-#define HASH_BLOOM_TEST(tbl,hashv)                                               \
-  HASH_BLOOM_BITTEST((tbl)->bloom_bv, (hashv & (uint32_t)((1ULL << (tbl)->bloom_nbits) - 1)))
-
-#else
-#define HASH_BLOOM_MAKE(tbl) 
-#define HASH_BLOOM_FREE(tbl) 
-#define HASH_BLOOM_ADD(tbl,hashv) 
-#define HASH_BLOOM_TEST(tbl,hashv) (1)
-#endif
-
-#define HASH_MAKE_TABLE(hh,head)                                                 \
-do {                                                                             \
-  (head)->hh.tbl = (UT_hash_table*)uthash_malloc(                                \
-                  sizeof(UT_hash_table));                                        \
-  if (!((head)->hh.tbl))  { uthash_fatal( "out of memory"); }                    \
-  memset((head)->hh.tbl, 0, sizeof(UT_hash_table));                              \
-  (head)->hh.tbl->tail = &((head)->hh);                                          \
-  (head)->hh.tbl->num_buckets = HASH_INITIAL_NUM_BUCKETS;                        \
-  (head)->hh.tbl->log2_num_buckets = HASH_INITIAL_NUM_BUCKETS_LOG2;              \
-  (head)->hh.tbl->hho = (char*)(&(head)->hh) - (char*)(head);                    \
-  (head)->hh.tbl->buckets = (UT_hash_bucket*)uthash_malloc(                      \
-          HASH_INITIAL_NUM_BUCKETS*sizeof(struct UT_hash_bucket));               \
-  if (! (head)->hh.tbl->buckets) { uthash_fatal( "out of memory"); }             \
-  memset((head)->hh.tbl->buckets, 0,                                             \
-          HASH_INITIAL_NUM_BUCKETS*sizeof(struct UT_hash_bucket));               \
-  HASH_BLOOM_MAKE((head)->hh.tbl);                                               \
-  (head)->hh.tbl->signature = HASH_SIGNATURE;                                    \
-} while(0)
-
-#define HASH_ADD(hh,head,fieldname,keylen_in,add)                                \
-        HASH_ADD_KEYPTR(hh,head,&((add)->fieldname),keylen_in,add)
- 
-#define HASH_ADD_KEYPTR(hh,head,keyptr,keylen_in,add)                            \
-do {                                                                             \
- unsigned _ha_bkt;                                                               \
- (add)->hh.next = NULL;                                                          \
- (add)->hh.key = (char*)keyptr;                                                  \
- (add)->hh.keylen = (unsigned)keylen_in;                                                   \
- if (!(head)) {                                                                  \
-    head = (add);                                                                \
-    (head)->hh.prev = NULL;                                                      \
-    HASH_MAKE_TABLE(hh,head);                                                    \
- } else {                                                                        \
-    (head)->hh.tbl->tail->next = (add);                                          \
-    (add)->hh.prev = ELMT_FROM_HH((head)->hh.tbl, (head)->hh.tbl->tail);         \
-    (head)->hh.tbl->tail = &((add)->hh);                                         \
- }                                                                               \
- (head)->hh.tbl->num_items++;                                                    \
- (add)->hh.tbl = (head)->hh.tbl;                                                 \
- HASH_FCN(keyptr,keylen_in, (head)->hh.tbl->num_buckets,                         \
-         (add)->hh.hashv, _ha_bkt);                                              \
- HASH_ADD_TO_BKT((head)->hh.tbl->buckets[_ha_bkt],&(add)->hh);                   \
- HASH_BLOOM_ADD((head)->hh.tbl,(add)->hh.hashv);                                 \
- HASH_EMIT_KEY(hh,head,keyptr,keylen_in);                                        \
- HASH_FSCK(hh,head);                                                             \
-} while(0)
-
-#define HASH_TO_BKT( hashv, num_bkts, bkt )                                      \
-do {                                                                             \
-  bkt = ((hashv) & ((num_bkts) - 1));                                            \
-} while(0)
-
-/* delete "delptr" from the hash table.
- * "the usual" patch-up process for the app-order doubly-linked-list.
- * The use of _hd_hh_del below deserves special explanation.
- * These used to be expressed using (delptr) but that led to a bug
- * if someone used the same symbol for the head and deletee, like
- *  HASH_DELETE(hh,users,users);
- * We want that to work, but by changing the head (users) below
- * we were forfeiting our ability to further refer to the deletee (users)
- * in the patch-up process. Solution: use scratch space to
- * copy the deletee pointer, then the latter references are via that
- * scratch pointer rather than through the repointed (users) symbol.
- */
-#define HASH_DELETE(hh,head,delptr)                                              \
-do {                                                                             \
-    unsigned _hd_bkt;                                                            \
-    struct UT_hash_handle *_hd_hh_del;                                           \
-    if ( ((delptr)->hh.prev == NULL) && ((delptr)->hh.next == NULL) )  {         \
-        uthash_free((head)->hh.tbl->buckets,                                     \
-                    (head)->hh.tbl->num_buckets*sizeof(struct UT_hash_bucket) ); \
-        HASH_BLOOM_FREE((head)->hh.tbl);                                         \
-        uthash_free((head)->hh.tbl, sizeof(UT_hash_table));                      \
-        head = NULL;                                                             \
-    } else {                                                                     \
-        _hd_hh_del = &((delptr)->hh);                                            \
-        if ((delptr) == ELMT_FROM_HH((head)->hh.tbl,(head)->hh.tbl->tail)) {     \
-            (head)->hh.tbl->tail =                                               \
-                (UT_hash_handle*)((char*)((delptr)->hh.prev) +                   \
-                (head)->hh.tbl->hho);                                            \
-        }                                                                        \
-        if ((delptr)->hh.prev) {                                                 \
-            ((UT_hash_handle*)((char*)((delptr)->hh.prev) +                      \
-                    (head)->hh.tbl->hho))->next = (delptr)->hh.next;             \
-        } else {                                                                 \
-            DECLTYPE_ASSIGN(head,(delptr)->hh.next);                             \
-        }                                                                        \
-        if (_hd_hh_del->next) {                                                  \
-            ((UT_hash_handle*)((char*)_hd_hh_del->next +                         \
-                    (head)->hh.tbl->hho))->prev =                                \
-                    _hd_hh_del->prev;                                            \
-        }                                                                        \
-        HASH_TO_BKT( _hd_hh_del->hashv, (head)->hh.tbl->num_buckets, _hd_bkt);   \
-        HASH_DEL_IN_BKT(hh,(head)->hh.tbl->buckets[_hd_bkt], _hd_hh_del);        \
-        (head)->hh.tbl->num_items--;                                             \
-    }                                                                            \
-    HASH_FSCK(hh,head);                                                          \
-} while (0)
-
-
-/* convenience forms of HASH_FIND/HASH_ADD/HASH_DEL */
-#define HASH_FIND_STR(head,findstr,out)                                          \
-    HASH_FIND(hh,head,findstr,strlen(findstr),out)
-#define HASH_ADD_STR(head,strfield,add)                                          \
-    HASH_ADD(hh,head,strfield,strlen(add->strfield),add)
-#define HASH_FIND_INT(head,findint,out)                                          \
-    HASH_FIND(hh,head,findint,sizeof(int),out)
-#define HASH_ADD_INT(head,intfield,add)                                          \
-    HASH_ADD(hh,head,intfield,sizeof(int),add)
-#define HASH_FIND_PTR(head,findptr,out)                                          \
-    HASH_FIND(hh,head,findptr,sizeof(void *),out)
-#define HASH_ADD_PTR(head,ptrfield,add)                                          \
-    HASH_ADD(hh,head,ptrfield,sizeof(void *),add)
-#define HASH_DEL(head,delptr)                                                    \
-    HASH_DELETE(hh,head,delptr)
-
-/* HASH_FSCK checks hash integrity on every add/delete when HASH_DEBUG is defined.
- * This is for uthash developer only; it compiles away if HASH_DEBUG isn't defined.
- */
-#ifdef HASH_DEBUG
-#define HASH_OOPS(...) do { fprintf(stderr,__VA_ARGS__); exit(-1); } while (0)
-#define HASH_FSCK(hh,head)                                                       \
-do {                                                                             \
-    unsigned _bkt_i;                                                             \
-    unsigned _count, _bkt_count;                                                 \
-    char *_prev;                                                                 \
-    struct UT_hash_handle *_thh;                                                 \
-    if (head) {                                                                  \
-        _count = 0;                                                              \
-        for( _bkt_i = 0; _bkt_i < (head)->hh.tbl->num_buckets; _bkt_i++) {       \
-            _bkt_count = 0;                                                      \
-            _thh = (head)->hh.tbl->buckets[_bkt_i].hh_head;                      \
-            _prev = NULL;                                                        \
-            while (_thh) {                                                       \
-               if (_prev != (char*)(_thh->hh_prev)) {                            \
-                   HASH_OOPS("invalid hh_prev %p, actual %p\n",                  \
-                    _thh->hh_prev, _prev );                                      \
-               }                                                                 \
-               _bkt_count++;                                                     \
-               _prev = (char*)(_thh);                                            \
-               _thh = _thh->hh_next;                                             \
-            }                                                                    \
-            _count += _bkt_count;                                                \
-            if ((head)->hh.tbl->buckets[_bkt_i].count !=  _bkt_count) {          \
-               HASH_OOPS("invalid bucket count %d, actual %d\n",                 \
-                (head)->hh.tbl->buckets[_bkt_i].count, _bkt_count);              \
-            }                                                                    \
-        }                                                                        \
-        if (_count != (head)->hh.tbl->num_items) {                               \
-            HASH_OOPS("invalid hh item count %d, actual %d\n",                   \
-                (head)->hh.tbl->num_items, _count );                             \
-        }                                                                        \
-        /* traverse hh in app order; check next/prev integrity, count */         \
-        _count = 0;                                                              \
-        _prev = NULL;                                                            \
-        _thh =  &(head)->hh;                                                     \
-        while (_thh) {                                                           \
-           _count++;                                                             \
-           if (_prev !=(char*)(_thh->prev)) {                                    \
-              HASH_OOPS("invalid prev %p, actual %p\n",                          \
-                    _thh->prev, _prev );                                         \
-           }                                                                     \
-           _prev = (char*)ELMT_FROM_HH((head)->hh.tbl, _thh);                    \
-           _thh = ( _thh->next ?  (UT_hash_handle*)((char*)(_thh->next) +        \
-                                  (head)->hh.tbl->hho) : NULL );                 \
-        }                                                                        \
-        if (_count != (head)->hh.tbl->num_items) {                               \
-            HASH_OOPS("invalid app item count %d, actual %d\n",                  \
-                (head)->hh.tbl->num_items, _count );                             \
-        }                                                                        \
-    }                                                                            \
-} while (0)
-#else
-#define HASH_FSCK(hh,head) 
-#endif
-
-/* When compiled with -DHASH_EMIT_KEYS, length-prefixed keys are emitted to 
- * the descriptor to which this macro is defined for tuning the hash function.
- * The app can #include  to get the prototype for write(2). */
-#ifdef HASH_EMIT_KEYS
-#define HASH_EMIT_KEY(hh,head,keyptr,fieldlen)                                   \
-do {                                                                             \
-    unsigned _klen = fieldlen;                                                   \
-    write(HASH_EMIT_KEYS, &_klen, sizeof(_klen));                                \
-    write(HASH_EMIT_KEYS, keyptr, fieldlen);                                     \
-} while (0)
-#else 
-#define HASH_EMIT_KEY(hh,head,keyptr,fieldlen)                    
-#endif
-
-/* default to Jenkin's hash unless overridden e.g. DHASH_FUNCTION=HASH_SAX */
-#ifdef HASH_FUNCTION 
-#define HASH_FCN HASH_FUNCTION
-#else
-#define HASH_FCN HASH_JEN
-#endif
-
-/* The Bernstein hash function, used in Perl prior to v5.6 */
-#define HASH_BER(key,keylen,num_bkts,hashv,bkt)                                  \
-do {                                                                             \
-  unsigned _hb_keylen=keylen;                                                    \
-  char *_hb_key=(char*)(key);                                                    \
-  (hashv) = 0;                                                                   \
-  while (_hb_keylen--)  { (hashv) = ((hashv) * 33) + *_hb_key++; }               \
-  bkt = (hashv) & (num_bkts-1);                                                  \
-} while (0)
-
-
-/* SAX/FNV/OAT/JEN hash functions are macro variants of those listed at 
- * http://eternallyconfuzzled.com/tuts/algorithms/jsw_tut_hashing.aspx */
-#define HASH_SAX(key,keylen,num_bkts,hashv,bkt)                                  \
-do {                                                                             \
-  unsigned _sx_i;                                                                \
-  char *_hs_key=(char*)(key);                                                    \
-  hashv = 0;                                                                     \
-  for(_sx_i=0; _sx_i < keylen; _sx_i++)                                          \
-      hashv ^= (hashv << 5) + (hashv >> 2) + _hs_key[_sx_i];                     \
-  bkt = hashv & (num_bkts-1);                                                    \
-} while (0)
-
-#define HASH_FNV(key,keylen,num_bkts,hashv,bkt)                                  \
-do {                                                                             \
-  unsigned _fn_i;                                                                \
-  char *_hf_key=(char*)(key);                                                    \
-  hashv = 2166136261UL;                                                          \
-  for(_fn_i=0; _fn_i < keylen; _fn_i++)                                          \
-      hashv = (hashv * 16777619) ^ _hf_key[_fn_i];                               \
-  bkt = hashv & (num_bkts-1);                                                    \
-} while(0) 
- 
-#define HASH_OAT(key,keylen,num_bkts,hashv,bkt)                                  \
-do {                                                                             \
-  unsigned _ho_i;                                                                \
-  char *_ho_key=(char*)(key);                                                    \
-  hashv = 0;                                                                     \
-  for(_ho_i=0; _ho_i < keylen; _ho_i++) {                                        \
-      hashv += _ho_key[_ho_i];                                                   \
-      hashv += (hashv << 10);                                                    \
-      hashv ^= (hashv >> 6);                                                     \
-  }                                                                              \
-  hashv += (hashv << 3);                                                         \
-  hashv ^= (hashv >> 11);                                                        \
-  hashv += (hashv << 15);                                                        \
-  bkt = hashv & (num_bkts-1);                                                    \
-} while(0)
-
-#define HASH_JEN_MIX(a,b,c)                                                      \
-do {                                                                             \
-  a -= b; a -= c; a ^= ( c >> 13 );                                              \
-  b -= c; b -= a; b ^= ( a << 8 );                                               \
-  c -= a; c -= b; c ^= ( b >> 13 );                                              \
-  a -= b; a -= c; a ^= ( c >> 12 );                                              \
-  b -= c; b -= a; b ^= ( a << 16 );                                              \
-  c -= a; c -= b; c ^= ( b >> 5 );                                               \
-  a -= b; a -= c; a ^= ( c >> 3 );                                               \
-  b -= c; b -= a; b ^= ( a << 10 );                                              \
-  c -= a; c -= b; c ^= ( b >> 15 );                                              \
-} while (0)
-
-#define HASH_JEN(key,keylen,num_bkts,hashv,bkt)                                  \
-do {                                                                             \
-  unsigned _hj_i,_hj_j,_hj_k;                                                    \
-  char *_hj_key=(char*)(key);                                                    \
-  hashv = 0xfeedbeef;                                                            \
-  _hj_i = _hj_j = 0x9e3779b9;                                                    \
-  _hj_k = (unsigned)keylen;                                                                \
-  while (_hj_k >= 12) {                                                          \
-    _hj_i +=    (_hj_key[0] + ( (unsigned)_hj_key[1] << 8 )                      \
-        + ( (unsigned)_hj_key[2] << 16 )                                         \
-        + ( (unsigned)_hj_key[3] << 24 ) );                                      \
-    _hj_j +=    (_hj_key[4] + ( (unsigned)_hj_key[5] << 8 )                      \
-        + ( (unsigned)_hj_key[6] << 16 )                                         \
-        + ( (unsigned)_hj_key[7] << 24 ) );                                      \
-    hashv += (_hj_key[8] + ( (unsigned)_hj_key[9] << 8 )                         \
-        + ( (unsigned)_hj_key[10] << 16 )                                        \
-        + ( (unsigned)_hj_key[11] << 24 ) );                                     \
-                                                                                 \
-     HASH_JEN_MIX(_hj_i, _hj_j, hashv);                                          \
-                                                                                 \
-     _hj_key += 12;                                                              \
-     _hj_k -= 12;                                                                \
-  }                                                                              \
-  hashv += keylen;                                                               \
-  switch ( _hj_k ) {                                                             \
-     case 11: hashv += ( (unsigned)_hj_key[10] << 24 );                          \
-     case 10: hashv += ( (unsigned)_hj_key[9] << 16 );                           \
-     case 9:  hashv += ( (unsigned)_hj_key[8] << 8 );                            \
-     case 8:  _hj_j += ( (unsigned)_hj_key[7] << 24 );                           \
-     case 7:  _hj_j += ( (unsigned)_hj_key[6] << 16 );                           \
-     case 6:  _hj_j += ( (unsigned)_hj_key[5] << 8 );                            \
-     case 5:  _hj_j += _hj_key[4];                                               \
-     case 4:  _hj_i += ( (unsigned)_hj_key[3] << 24 );                           \
-     case 3:  _hj_i += ( (unsigned)_hj_key[2] << 16 );                           \
-     case 2:  _hj_i += ( (unsigned)_hj_key[1] << 8 );                            \
-     case 1:  _hj_i += _hj_key[0];                                               \
-  }                                                                              \
-  HASH_JEN_MIX(_hj_i, _hj_j, hashv);                                             \
-  bkt = hashv & (num_bkts-1);                                                    \
-} while(0)
-
-/* The Paul Hsieh hash function */
-#undef get16bits
-#if (defined(__GNUC__) && defined(__i386__)) || defined(__WATCOMC__)             \
-  || defined(_MSC_VER) || defined (__BORLANDC__) || defined (__TURBOC__)
-#define get16bits(d) (*((const uint16_t *) (d)))
-#endif
-
-#if !defined (get16bits)
-#define get16bits(d) ((((uint32_t)(((const uint8_t *)(d))[1])) << 8)             \
-                       +(uint32_t)(((const uint8_t *)(d))[0]) )
-#endif
-#define HASH_SFH(key,keylen,num_bkts,hashv,bkt)                                  \
-do {                                                                             \
-  char *_sfh_key=(char*)(key);                                                   \
-  uint32_t _sfh_tmp, _sfh_len = keylen;                                          \
-                                                                                 \
-  int _sfh_rem = _sfh_len & 3;                                                   \
-  _sfh_len >>= 2;                                                                \
-  hashv = 0xcafebabe;                                                            \
-                                                                                 \
-  /* Main loop */                                                                \
-  for (;_sfh_len > 0; _sfh_len--) {                                              \
-    hashv    += get16bits (_sfh_key);                                            \
-    _sfh_tmp       = (get16bits (_sfh_key+2) << 11) ^ hashv;                     \
-    hashv     = (hashv << 16) ^ _sfh_tmp;                                        \
-    _sfh_key += 2*sizeof (uint16_t);                                             \
-    hashv    += hashv >> 11;                                                     \
-  }                                                                              \
-                                                                                 \
-  /* Handle end cases */                                                         \
-  switch (_sfh_rem) {                                                            \
-    case 3: hashv += get16bits (_sfh_key);                                       \
-            hashv ^= hashv << 16;                                                \
-            hashv ^= _sfh_key[sizeof (uint16_t)] << 18;                          \
-            hashv += hashv >> 11;                                                \
-            break;                                                               \
-    case 2: hashv += get16bits (_sfh_key);                                       \
-            hashv ^= hashv << 11;                                                \
-            hashv += hashv >> 17;                                                \
-            break;                                                               \
-    case 1: hashv += *_sfh_key;                                                  \
-            hashv ^= hashv << 10;                                                \
-            hashv += hashv >> 1;                                                 \
-  }                                                                              \
-                                                                                 \
-    /* Force "avalanching" of final 127 bits */                                  \
-    hashv ^= hashv << 3;                                                         \
-    hashv += hashv >> 5;                                                         \
-    hashv ^= hashv << 4;                                                         \
-    hashv += hashv >> 17;                                                        \
-    hashv ^= hashv << 25;                                                        \
-    hashv += hashv >> 6;                                                         \
-    bkt = hashv & (num_bkts-1);                                                  \
-} while(0) 
-
-#ifdef HASH_USING_NO_STRICT_ALIASING
-/* The MurmurHash exploits some CPU's (x86,x86_64) tolerance for unaligned reads.
- * For other types of CPU's (e.g. Sparc) an unaligned read causes a bus error.
- * MurmurHash uses the faster approach only on CPU's where we know it's safe. 
- *
- * Note the preprocessor built-in defines can be emitted using:
- *
- *   gcc -m64 -dM -E - < /dev/null                  (on gcc)
- *   cc -## a.c (where a.c is a simple test file)   (Sun Studio)
- */
-#if (defined(__i386__) || defined(__x86_64__)) 
-#define MUR_GETBLOCK(p,i) p[i]
-#else /* non intel */
-#define MUR_PLUS0_ALIGNED(p) (((unsigned long)p & 0x3) == 0)
-#define MUR_PLUS1_ALIGNED(p) (((unsigned long)p & 0x3) == 1)
-#define MUR_PLUS2_ALIGNED(p) (((unsigned long)p & 0x3) == 2)
-#define MUR_PLUS3_ALIGNED(p) (((unsigned long)p & 0x3) == 3)
-#define WP(p) ((uint32_t*)((unsigned long)(p) & ~3UL))
-#if (defined(__BIG_ENDIAN__) || defined(SPARC) || defined(__ppc__) || defined(__ppc64__))
-#define MUR_THREE_ONE(p) ((((*WP(p))&0x00ffffff) << 8) | (((*(WP(p)+1))&0xff000000) >> 24))
-#define MUR_TWO_TWO(p)   ((((*WP(p))&0x0000ffff) <<16) | (((*(WP(p)+1))&0xffff0000) >> 16))
-#define MUR_ONE_THREE(p) ((((*WP(p))&0x000000ff) <<24) | (((*(WP(p)+1))&0xffffff00) >>  8))
-#else /* assume little endian non-intel */
-#define MUR_THREE_ONE(p) ((((*WP(p))&0xffffff00) >> 8) | (((*(WP(p)+1))&0x000000ff) << 24))
-#define MUR_TWO_TWO(p)   ((((*WP(p))&0xffff0000) >>16) | (((*(WP(p)+1))&0x0000ffff) << 16))
-#define MUR_ONE_THREE(p) ((((*WP(p))&0xff000000) >>24) | (((*(WP(p)+1))&0x00ffffff) <<  8))
-#endif
-#define MUR_GETBLOCK(p,i) (MUR_PLUS0_ALIGNED(p) ? ((p)[i]) :           \
-                            (MUR_PLUS1_ALIGNED(p) ? MUR_THREE_ONE(p) : \
-                             (MUR_PLUS2_ALIGNED(p) ? MUR_TWO_TWO(p) :  \
-                                                      MUR_ONE_THREE(p))))
-#endif
-#define MUR_ROTL32(x,r) (((x) << (r)) | ((x) >> (32 - (r))))
-#define MUR_FMIX(_h) \
-do {                 \
-  _h ^= _h >> 16;    \
-  _h *= 0x85ebca6b;  \
-  _h ^= _h >> 13;    \
-  _h *= 0xc2b2ae35l; \
-  _h ^= _h >> 16;    \
-} while(0)
-
-#define HASH_MUR(key,keylen,num_bkts,hashv,bkt)                        \
-do {                                                                   \
-  const uint8_t *_mur_data = (const uint8_t*)(key);                    \
-  const int _mur_nblocks = (keylen) / 4;                               \
-  uint32_t _mur_h1 = 0xf88D5353;                                       \
-  uint32_t _mur_c1 = 0xcc9e2d51;                                       \
-  uint32_t _mur_c2 = 0x1b873593;                                       \
-  const uint32_t *_mur_blocks = (const uint32_t*)(_mur_data+_mur_nblocks*4); \
-  int _mur_i;                                                          \
-  for(_mur_i = -_mur_nblocks; _mur_i; _mur_i++) {                      \
-    uint32_t _mur_k1 = MUR_GETBLOCK(_mur_blocks,_mur_i);               \
-    _mur_k1 *= _mur_c1;                                                \
-    _mur_k1 = MUR_ROTL32(_mur_k1,15);                                  \
-    _mur_k1 *= _mur_c2;                                                \
-                                                                       \
-    _mur_h1 ^= _mur_k1;                                                \
-    _mur_h1 = MUR_ROTL32(_mur_h1,13);                                  \
-    _mur_h1 = _mur_h1*5+0xe6546b64;                                    \
-  }                                                                    \
-  const uint8_t *_mur_tail = (const uint8_t*)(_mur_data + _mur_nblocks*4); \
-  uint32_t _mur_k1=0;                                                  \
-  switch((keylen) & 3) {                                               \
-    case 3: _mur_k1 ^= _mur_tail[2] << 16;                             \
-    case 2: _mur_k1 ^= _mur_tail[1] << 8;                              \
-    case 1: _mur_k1 ^= _mur_tail[0];                                   \
-    _mur_k1 *= _mur_c1;                                                \
-    _mur_k1 = MUR_ROTL32(_mur_k1,15);                                  \
-    _mur_k1 *= _mur_c2;                                                \
-    _mur_h1 ^= _mur_k1;                                                \
-  }                                                                    \
-  _mur_h1 ^= (keylen);                                                 \
-  MUR_FMIX(_mur_h1);                                                   \
-  hashv = _mur_h1;                                                     \
-  bkt = hashv & (num_bkts-1);                                          \
-} while(0)
-#endif  /* HASH_USING_NO_STRICT_ALIASING */
-
-/* key comparison function; return 0 if keys equal */
-#define HASH_KEYCMP(a,b,len) memcmp(a,b,len) 
-
-/* iterate over items in a known bucket to find desired item */
-#define HASH_FIND_IN_BKT(tbl,hh,head,keyptr,keylen_in,out)                       \
-do {                                                                             \
- if (head.hh_head) DECLTYPE_ASSIGN(out,ELMT_FROM_HH(tbl,head.hh_head));          \
- else out=NULL;                                                                  \
- while (out) {                                                                   \
-    if ((out)->hh.keylen == keylen_in) {                                           \
-        if ((HASH_KEYCMP((out)->hh.key,keyptr,keylen_in)) == 0) break;             \
-    }                                                                            \
-    if ((out)->hh.hh_next) DECLTYPE_ASSIGN(out,ELMT_FROM_HH(tbl,(out)->hh.hh_next)); \
-    else out = NULL;                                                             \
- }                                                                               \
-} while(0)
-
-/* add an item to a bucket  */
-#define HASH_ADD_TO_BKT(head,addhh)                                              \
-do {                                                                             \
- head.count++;                                                                   \
- (addhh)->hh_next = head.hh_head;                                                \
- (addhh)->hh_prev = NULL;                                                        \
- if (head.hh_head) { (head).hh_head->hh_prev = (addhh); }                        \
- (head).hh_head=addhh;                                                           \
- if (head.count >= ((head.expand_mult+1) * HASH_BKT_CAPACITY_THRESH)             \
-     && (addhh)->tbl->noexpand != 1) {                                           \
-       HASH_EXPAND_BUCKETS((addhh)->tbl);                                        \
- }                                                                               \
-} while(0)
-
-/* remove an item from a given bucket */
-#define HASH_DEL_IN_BKT(hh,head,hh_del)                                          \
-    (head).count--;                                                              \
-    if ((head).hh_head == hh_del) {                                              \
-      (head).hh_head = hh_del->hh_next;                                          \
-    }                                                                            \
-    if (hh_del->hh_prev) {                                                       \
-        hh_del->hh_prev->hh_next = hh_del->hh_next;                              \
-    }                                                                            \
-    if (hh_del->hh_next) {                                                       \
-        hh_del->hh_next->hh_prev = hh_del->hh_prev;                              \
-    }                                                                
-
-/* Bucket expansion has the effect of doubling the number of buckets
- * and redistributing the items into the new buckets. Ideally the
- * items will distribute more or less evenly into the new buckets
- * (the extent to which this is true is a measure of the quality of
- * the hash function as it applies to the key domain). 
- * 
- * With the items distributed into more buckets, the chain length
- * (item count) in each bucket is reduced. Thus by expanding buckets
- * the hash keeps a bound on the chain length. This bounded chain 
- * length is the essence of how a hash provides constant time lookup.
- * 
- * The calculation of tbl->ideal_chain_maxlen below deserves some
- * explanation. First, keep in mind that we're calculating the ideal
- * maximum chain length based on the *new* (doubled) bucket count.
- * In fractions this is just n/b (n=number of items,b=new num buckets).
- * Since the ideal chain length is an integer, we want to calculate 
- * ceil(n/b). We don't depend on floating point arithmetic in this
- * hash, so to calculate ceil(n/b) with integers we could write
- * 
- *      ceil(n/b) = (n/b) + ((n%b)?1:0)
- * 
- * and in fact a previous version of this hash did just that.
- * But now we have improved things a bit by recognizing that b is
- * always a power of two. We keep its base 2 log handy (call it lb),
- * so now we can write this with a bit shift and logical AND:
- * 
- *      ceil(n/b) = (n>>lb) + ( (n & (b-1)) ? 1:0)
- * 
- */
-#define HASH_EXPAND_BUCKETS(tbl)                                                 \
-do {                                                                             \
-    unsigned _he_bkt;                                                            \
-    unsigned _he_bkt_i;                                                          \
-    struct UT_hash_handle *_he_thh, *_he_hh_nxt;                                 \
-    UT_hash_bucket *_he_new_buckets, *_he_newbkt;                                \
-    _he_new_buckets = (UT_hash_bucket*)uthash_malloc(                            \
-             2 * tbl->num_buckets * sizeof(struct UT_hash_bucket));              \
-    if (!_he_new_buckets) { uthash_fatal( "out of memory"); }                    \
-    memset(_he_new_buckets, 0,                                                   \
-            2 * tbl->num_buckets * sizeof(struct UT_hash_bucket));               \
-    tbl->ideal_chain_maxlen =                                                    \
-       (tbl->num_items >> (tbl->log2_num_buckets+1)) +                           \
-       ((tbl->num_items & ((tbl->num_buckets*2)-1)) ? 1 : 0);                    \
-    tbl->nonideal_items = 0;                                                     \
-    for(_he_bkt_i = 0; _he_bkt_i < tbl->num_buckets; _he_bkt_i++)                \
-    {                                                                            \
-        _he_thh = tbl->buckets[ _he_bkt_i ].hh_head;                             \
-        while (_he_thh) {                                                        \
-           _he_hh_nxt = _he_thh->hh_next;                                        \
-           HASH_TO_BKT( _he_thh->hashv, tbl->num_buckets*2, _he_bkt);            \
-           _he_newbkt = &(_he_new_buckets[ _he_bkt ]);                           \
-           if (++(_he_newbkt->count) > tbl->ideal_chain_maxlen) {                \
-             tbl->nonideal_items++;                                              \
-             _he_newbkt->expand_mult = _he_newbkt->count /                       \
-                                        tbl->ideal_chain_maxlen;                 \
-           }                                                                     \
-           _he_thh->hh_prev = NULL;                                              \
-           _he_thh->hh_next = _he_newbkt->hh_head;                               \
-           if (_he_newbkt->hh_head) _he_newbkt->hh_head->hh_prev =               \
-                _he_thh;                                                         \
-           _he_newbkt->hh_head = _he_thh;                                        \
-           _he_thh = _he_hh_nxt;                                                 \
-        }                                                                        \
-    }                                                                            \
-    uthash_free( tbl->buckets, tbl->num_buckets*sizeof(struct UT_hash_bucket) ); \
-    tbl->num_buckets *= 2;                                                       \
-    tbl->log2_num_buckets++;                                                     \
-    tbl->buckets = _he_new_buckets;                                              \
-    tbl->ineff_expands = (tbl->nonideal_items > (tbl->num_items >> 1)) ?         \
-        (tbl->ineff_expands+1) : 0;                                              \
-    if (tbl->ineff_expands > 1) {                                                \
-        tbl->noexpand=1;                                                         \
-        uthash_noexpand_fyi(tbl);                                                \
-    }                                                                            \
-    uthash_expand_fyi(tbl);                                                      \
-} while(0)
-
-
-/* This is an adaptation of Simon Tatham's O(n log(n)) mergesort */
-/* Note that HASH_SORT assumes the hash handle name to be hh. 
- * HASH_SRT was added to allow the hash handle name to be passed in. */
-#define HASH_SORT(head,cmpfcn) HASH_SRT(hh,head,cmpfcn)
-#define HASH_SRT(hh,head,cmpfcn)                                                 \
-do {                                                                             \
-  unsigned _hs_i;                                                                \
-  unsigned _hs_looping,_hs_nmerges,_hs_insize,_hs_psize,_hs_qsize;               \
-  struct UT_hash_handle *_hs_p, *_hs_q, *_hs_e, *_hs_list, *_hs_tail;            \
-  if (head) {                                                                    \
-      _hs_insize = 1;                                                            \
-      _hs_looping = 1;                                                           \
-      _hs_list = &((head)->hh);                                                  \
-      while (_hs_looping) {                                                      \
-          _hs_p = _hs_list;                                                      \
-          _hs_list = NULL;                                                       \
-          _hs_tail = NULL;                                                       \
-          _hs_nmerges = 0;                                                       \
-          while (_hs_p) {                                                        \
-              _hs_nmerges++;                                                     \
-              _hs_q = _hs_p;                                                     \
-              _hs_psize = 0;                                                     \
-              for ( _hs_i = 0; _hs_i  < _hs_insize; _hs_i++ ) {                  \
-                  _hs_psize++;                                                   \
-                  _hs_q = (UT_hash_handle*)((_hs_q->next) ?                      \
-                          ((void*)((char*)(_hs_q->next) +                        \
-                          (head)->hh.tbl->hho)) : NULL);                         \
-                  if (! (_hs_q) ) break;                                         \
-              }                                                                  \
-              _hs_qsize = _hs_insize;                                            \
-              while ((_hs_psize > 0) || ((_hs_qsize > 0) && _hs_q )) {           \
-                  if (_hs_psize == 0) {                                          \
-                      _hs_e = _hs_q;                                             \
-                      _hs_q = (UT_hash_handle*)((_hs_q->next) ?                  \
-                              ((void*)((char*)(_hs_q->next) +                    \
-                              (head)->hh.tbl->hho)) : NULL);                     \
-                      _hs_qsize--;                                               \
-                  } else if ( (_hs_qsize == 0) || !(_hs_q) ) {                   \
-                      _hs_e = _hs_p;                                             \
-                      _hs_p = (UT_hash_handle*)((_hs_p->next) ?                  \
-                              ((void*)((char*)(_hs_p->next) +                    \
-                              (head)->hh.tbl->hho)) : NULL);                     \
-                      _hs_psize--;                                               \
-                  } else if ((                                                   \
-                      cmpfcn(DECLTYPE(head)(ELMT_FROM_HH((head)->hh.tbl,_hs_p)), \
-                             DECLTYPE(head)(ELMT_FROM_HH((head)->hh.tbl,_hs_q))) \
-                             ) <= 0) {                                           \
-                      _hs_e = _hs_p;                                             \
-                      _hs_p = (UT_hash_handle*)((_hs_p->next) ?                  \
-                              ((void*)((char*)(_hs_p->next) +                    \
-                              (head)->hh.tbl->hho)) : NULL);                     \
-                      _hs_psize--;                                               \
-                  } else {                                                       \
-                      _hs_e = _hs_q;                                             \
-                      _hs_q = (UT_hash_handle*)((_hs_q->next) ?                  \
-                              ((void*)((char*)(_hs_q->next) +                    \
-                              (head)->hh.tbl->hho)) : NULL);                     \
-                      _hs_qsize--;                                               \
-                  }                                                              \
-                  if ( _hs_tail ) {                                              \
-                      _hs_tail->next = ((_hs_e) ?                                \
-                            ELMT_FROM_HH((head)->hh.tbl,_hs_e) : NULL);          \
-                  } else {                                                       \
-                      _hs_list = _hs_e;                                          \
-                  }                                                              \
-                  _hs_e->prev = ((_hs_tail) ?                                    \
-                     ELMT_FROM_HH((head)->hh.tbl,_hs_tail) : NULL);              \
-                  _hs_tail = _hs_e;                                              \
-              }                                                                  \
-              _hs_p = _hs_q;                                                     \
-          }                                                                      \
-          _hs_tail->next = NULL;                                                 \
-          if ( _hs_nmerges <= 1 ) {                                              \
-              _hs_looping=0;                                                     \
-              (head)->hh.tbl->tail = _hs_tail;                                   \
-              DECLTYPE_ASSIGN(head,ELMT_FROM_HH((head)->hh.tbl, _hs_list));      \
-          }                                                                      \
-          _hs_insize *= 2;                                                       \
-      }                                                                          \
-      HASH_FSCK(hh,head);                                                        \
- }                                                                               \
-} while (0)
-
-/* This function selects items from one hash into another hash. 
- * The end result is that the selected items have dual presence 
- * in both hashes. There is no copy of the items made; rather 
- * they are added into the new hash through a secondary hash 
- * hash handle that must be present in the structure. */
-#define HASH_SELECT(hh_dst, dst, hh_src, src, cond)                              \
-do {                                                                             \
-  unsigned _src_bkt, _dst_bkt;                                                   \
-  void *_last_elt=NULL, *_elt;                                                   \
-  UT_hash_handle *_src_hh, *_dst_hh, *_last_elt_hh=NULL;                         \
-  ptrdiff_t _dst_hho = ((char*)(&(dst)->hh_dst) - (char*)(dst));                 \
-  if (src) {                                                                     \
-    for(_src_bkt=0; _src_bkt < (src)->hh_src.tbl->num_buckets; _src_bkt++) {     \
-      for(_src_hh = (src)->hh_src.tbl->buckets[_src_bkt].hh_head;                \
-          _src_hh;                                                               \
-          _src_hh = _src_hh->hh_next) {                                          \
-          _elt = ELMT_FROM_HH((src)->hh_src.tbl, _src_hh);                       \
-          if (cond(_elt)) {                                                      \
-            _dst_hh = (UT_hash_handle*)(((char*)_elt) + _dst_hho);               \
-            _dst_hh->key = _src_hh->key;                                         \
-            _dst_hh->keylen = _src_hh->keylen;                                   \
-            _dst_hh->hashv = _src_hh->hashv;                                     \
-            _dst_hh->prev = _last_elt;                                           \
-            _dst_hh->next = NULL;                                                \
-            if (_last_elt_hh) { _last_elt_hh->next = _elt; }                     \
-            if (!dst) {                                                          \
-              DECLTYPE_ASSIGN(dst,_elt);                                         \
-              HASH_MAKE_TABLE(hh_dst,dst);                                       \
-            } else {                                                             \
-              _dst_hh->tbl = (dst)->hh_dst.tbl;                                  \
-            }                                                                    \
-            HASH_TO_BKT(_dst_hh->hashv, _dst_hh->tbl->num_buckets, _dst_bkt);    \
-            HASH_ADD_TO_BKT(_dst_hh->tbl->buckets[_dst_bkt],_dst_hh);            \
-            (dst)->hh_dst.tbl->num_items++;                                      \
-            _last_elt = _elt;                                                    \
-            _last_elt_hh = _dst_hh;                                              \
-          }                                                                      \
-      }                                                                          \
-    }                                                                            \
-  }                                                                              \
-  HASH_FSCK(hh_dst,dst);                                                         \
-} while (0)
-
-#define HASH_CLEAR(hh,head)                                                      \
-do {                                                                             \
-  if (head) {                                                                    \
-    uthash_free((head)->hh.tbl->buckets,                                         \
-                (head)->hh.tbl->num_buckets*sizeof(struct UT_hash_bucket));      \
-    HASH_BLOOM_FREE((head)->hh.tbl);                                             \
-    uthash_free((head)->hh.tbl, sizeof(UT_hash_table));                          \
-    (head)=NULL;                                                                 \
-  }                                                                              \
-} while(0)
-
-#ifdef NO_DECLTYPE
-#define HASH_ITER(hh,head,el,tmp)                                                \
-for((el)=(head), (*(char**)(&(tmp)))=(char*)((head)?(head)->hh.next:NULL);       \
-  el; (el)=(tmp),(*(char**)(&(tmp)))=(char*)((tmp)?(tmp)->hh.next:NULL)) 
-#else
-#define HASH_ITER(hh,head,el,tmp)                                                \
-for((el)=(head),(tmp)=DECLTYPE(el)((head)?(head)->hh.next:NULL);                 \
-  el; (el)=(tmp),(tmp)=DECLTYPE(el)((tmp)?(tmp)->hh.next:NULL))
-#endif
-
-/* obtain a count of items in the hash */
-#define HASH_COUNT(head) HASH_CNT(hh,head) 
-#define HASH_CNT(hh,head) ((head)?((head)->hh.tbl->num_items):0)
-
-typedef struct UT_hash_bucket {
-   struct UT_hash_handle *hh_head;
-   unsigned count;
-
-   /* expand_mult is normally set to 0. In this situation, the max chain length
-    * threshold is enforced at its default value, HASH_BKT_CAPACITY_THRESH. (If
-    * the bucket's chain exceeds this length, bucket expansion is triggered). 
-    * However, setting expand_mult to a non-zero value delays bucket expansion
-    * (that would be triggered by additions to this particular bucket)
-    * until its chain length reaches a *multiple* of HASH_BKT_CAPACITY_THRESH.
-    * (The multiplier is simply expand_mult+1). The whole idea of this
-    * multiplier is to reduce bucket expansions, since they are expensive, in
-    * situations where we know that a particular bucket tends to be overused.
-    * It is better to let its chain length grow to a longer yet-still-bounded
-    * value, than to do an O(n) bucket expansion too often. 
-    */
-   unsigned expand_mult;
-
-} UT_hash_bucket;
-
-/* random signature used only to find hash tables in external analysis */
-#define HASH_SIGNATURE 0xa0111fe1
-#define HASH_BLOOM_SIGNATURE 0xb12220f2
-
-typedef struct UT_hash_table {
-   UT_hash_bucket *buckets;
-   unsigned num_buckets, log2_num_buckets;
-   unsigned num_items;
-   struct UT_hash_handle *tail; /* tail hh in app order, for fast append    */
-   ptrdiff_t hho; /* hash handle offset (byte pos of hash handle in element */
-
-   /* in an ideal situation (all buckets used equally), no bucket would have
-    * more than ceil(#items/#buckets) items. that's the ideal chain length. */
-   unsigned ideal_chain_maxlen;
-
-   /* nonideal_items is the number of items in the hash whose chain position
-    * exceeds the ideal chain maxlen. these items pay the penalty for an uneven
-    * hash distribution; reaching them in a chain traversal takes >ideal steps */
-   unsigned nonideal_items;
-
-   /* ineffective expands occur when a bucket doubling was performed, but 
-    * afterward, more than half the items in the hash had nonideal chain
-    * positions. If this happens on two consecutive expansions we inhibit any
-    * further expansion, as it's not helping; this happens when the hash
-    * function isn't a good fit for the key domain. When expansion is inhibited
-    * the hash will still work, albeit no longer in constant time. */
-   unsigned ineff_expands, noexpand;
-
-   uint32_t signature; /* used only to find hash tables in external analysis */
-#ifdef HASH_BLOOM
-   uint32_t bloom_sig; /* used only to test bloom exists in external analysis */
-   uint8_t *bloom_bv;
-   char bloom_nbits;
-#endif
-
-} UT_hash_table;
-
-typedef struct UT_hash_handle {
-   struct UT_hash_table *tbl;
-   void *prev;                       /* prev element in app order      */
-   void *next;                       /* next element in app order      */
-   struct UT_hash_handle *hh_prev;   /* previous hh in bucket order    */
-   struct UT_hash_handle *hh_next;   /* next hh in bucket order        */
-   void *key;                        /* ptr to enclosing struct's key  */
-   unsigned keylen;                  /* enclosing struct's key len     */
-   unsigned hashv;                   /* result of hash-fcn(key)        */
-} UT_hash_handle;
-
-#endif /* UTHASH_H */
diff --git a/apps/systemlib/uthash/utlist.h b/apps/systemlib/uthash/utlist.h
deleted file mode 100644
index 1578acad2..000000000
--- a/apps/systemlib/uthash/utlist.h
+++ /dev/null
@@ -1,522 +0,0 @@
-/*
-Copyright (c) 2007-2012, Troy D. Hanson   http://uthash.sourceforge.net
-All rights reserved.
-
-Redistribution and use in source and binary forms, with or without
-modification, are permitted provided that the following conditions are met:
-
-    * Redistributions of source code must retain the above copyright
-      notice, this list of conditions and the following disclaimer.
-
-THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS
-IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
-TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A
-PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER
-OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
-PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
-PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
-LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
-NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
-SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
-*/
-
-#ifndef UTLIST_H
-#define UTLIST_H
-
-#define UTLIST_VERSION 1.9.6
-
-#include 
-
-/* 
- * This file contains macros to manipulate singly and doubly-linked lists.
- *
- * 1. LL_ macros:  singly-linked lists.
- * 2. DL_ macros:  doubly-linked lists.
- * 3. CDL_ macros: circular doubly-linked lists.
- *
- * To use singly-linked lists, your structure must have a "next" pointer.
- * To use doubly-linked lists, your structure must "prev" and "next" pointers.
- * Either way, the pointer to the head of the list must be initialized to NULL.
- * 
- * ----------------.EXAMPLE -------------------------
- * struct item {
- *      int id;
- *      struct item *prev, *next;
- * }
- *
- * struct item *list = NULL:
- *
- * int main() {
- *      struct item *item;
- *      ... allocate and populate item ...
- *      DL_APPEND(list, item);
- * }
- * --------------------------------------------------
- *
- * For doubly-linked lists, the append and delete macros are O(1)
- * For singly-linked lists, append and delete are O(n) but prepend is O(1)
- * The sort macro is O(n log(n)) for all types of single/double/circular lists.
- */
-
-/* These macros use decltype or the earlier __typeof GNU extension.
-   As decltype is only available in newer compilers (VS2010 or gcc 4.3+
-   when compiling c++ code), this code uses whatever method is needed
-   or, for VS2008 where neither is available, uses casting workarounds. */
-#ifdef _MSC_VER            /* MS compiler */
-#if _MSC_VER >= 1600 && defined(__cplusplus)  /* VS2010 or newer in C++ mode */
-#define LDECLTYPE(x) decltype(x)
-#else                     /* VS2008 or older (or VS2010 in C mode) */
-#define NO_DECLTYPE
-#define LDECLTYPE(x) char*
-#endif
-#else                      /* GNU, Sun and other compilers */
-#define LDECLTYPE(x) __typeof(x)
-#endif
-
-/* for VS2008 we use some workarounds to get around the lack of decltype,
- * namely, we always reassign our tmp variable to the list head if we need
- * to dereference its prev/next pointers, and save/restore the real head.*/
-#ifdef NO_DECLTYPE
-#define _SV(elt,list) _tmp = (char*)(list); {char **_alias = (char**)&(list); *_alias = (elt); }
-#define _NEXT(elt,list) ((char*)((list)->next))
-#define _NEXTASGN(elt,list,to) { char **_alias = (char**)&((list)->next); *_alias=(char*)(to); }
-#define _PREV(elt,list) ((char*)((list)->prev))
-#define _PREVASGN(elt,list,to) { char **_alias = (char**)&((list)->prev); *_alias=(char*)(to); }
-#define _RS(list) { char **_alias = (char**)&(list); *_alias=_tmp; }
-#define _CASTASGN(a,b) { char **_alias = (char**)&(a); *_alias=(char*)(b); }
-#else 
-#define _SV(elt,list)
-#define _NEXT(elt,list) ((elt)->next)
-#define _NEXTASGN(elt,list,to) ((elt)->next)=(to)
-#define _PREV(elt,list) ((elt)->prev)
-#define _PREVASGN(elt,list,to) ((elt)->prev)=(to)
-#define _RS(list)
-#define _CASTASGN(a,b) (a)=(b)
-#endif
-
-/******************************************************************************
- * The sort macro is an adaptation of Simon Tatham's O(n log(n)) mergesort    *
- * Unwieldy variable names used here to avoid shadowing passed-in variables.  *
- *****************************************************************************/
-#define LL_SORT(list, cmp)                                                                     \
-do {                                                                                           \
-  LDECLTYPE(list) _ls_p;                                                                       \
-  LDECLTYPE(list) _ls_q;                                                                       \
-  LDECLTYPE(list) _ls_e;                                                                       \
-  LDECLTYPE(list) _ls_tail;                                                                    \
-  LDECLTYPE(list) _ls_oldhead;                                                                 \
-  LDECLTYPE(list) _tmp;                                                                        \
-  int _ls_insize, _ls_nmerges, _ls_psize, _ls_qsize, _ls_i, _ls_looping;                       \
-  if (list) {                                                                                  \
-    _ls_insize = 1;                                                                            \
-    _ls_looping = 1;                                                                           \
-    while (_ls_looping) {                                                                      \
-      _CASTASGN(_ls_p,list);                                                                   \
-      _CASTASGN(_ls_oldhead,list);                                                             \
-      list = NULL;                                                                             \
-      _ls_tail = NULL;                                                                         \
-      _ls_nmerges = 0;                                                                         \
-      while (_ls_p) {                                                                          \
-        _ls_nmerges++;                                                                         \
-        _ls_q = _ls_p;                                                                         \
-        _ls_psize = 0;                                                                         \
-        for (_ls_i = 0; _ls_i < _ls_insize; _ls_i++) {                                         \
-          _ls_psize++;                                                                         \
-          _SV(_ls_q,list); _ls_q = _NEXT(_ls_q,list); _RS(list);                               \
-          if (!_ls_q) break;                                                                   \
-        }                                                                                      \
-        _ls_qsize = _ls_insize;                                                                \
-        while (_ls_psize > 0 || (_ls_qsize > 0 && _ls_q)) {                                    \
-          if (_ls_psize == 0) {                                                                \
-            _ls_e = _ls_q; _SV(_ls_q,list); _ls_q = _NEXT(_ls_q,list); _RS(list); _ls_qsize--; \
-          } else if (_ls_qsize == 0 || !_ls_q) {                                               \
-            _ls_e = _ls_p; _SV(_ls_p,list); _ls_p = _NEXT(_ls_p,list); _RS(list); _ls_psize--; \
-          } else if (cmp(_ls_p,_ls_q) <= 0) {                                                  \
-            _ls_e = _ls_p; _SV(_ls_p,list); _ls_p = _NEXT(_ls_p,list); _RS(list); _ls_psize--; \
-          } else {                                                                             \
-            _ls_e = _ls_q; _SV(_ls_q,list); _ls_q = _NEXT(_ls_q,list); _RS(list); _ls_qsize--; \
-          }                                                                                    \
-          if (_ls_tail) {                                                                      \
-            _SV(_ls_tail,list); _NEXTASGN(_ls_tail,list,_ls_e); _RS(list);                     \
-          } else {                                                                             \
-            _CASTASGN(list,_ls_e);                                                             \
-          }                                                                                    \
-          _ls_tail = _ls_e;                                                                    \
-        }                                                                                      \
-        _ls_p = _ls_q;                                                                         \
-      }                                                                                        \
-      _SV(_ls_tail,list); _NEXTASGN(_ls_tail,list,NULL); _RS(list);                            \
-      if (_ls_nmerges <= 1) {                                                                  \
-        _ls_looping=0;                                                                         \
-      }                                                                                        \
-      _ls_insize *= 2;                                                                         \
-    }                                                                                          \
-  } else _tmp=NULL; /* quiet gcc unused variable warning */                                    \
-} while (0)
-
-#define DL_SORT(list, cmp)                                                                     \
-do {                                                                                           \
-  LDECLTYPE(list) _ls_p;                                                                       \
-  LDECLTYPE(list) _ls_q;                                                                       \
-  LDECLTYPE(list) _ls_e;                                                                       \
-  LDECLTYPE(list) _ls_tail;                                                                    \
-  LDECLTYPE(list) _ls_oldhead;                                                                 \
-  LDECLTYPE(list) _tmp;                                                                        \
-  int _ls_insize, _ls_nmerges, _ls_psize, _ls_qsize, _ls_i, _ls_looping;                       \
-  if (list) {                                                                                  \
-    _ls_insize = 1;                                                                            \
-    _ls_looping = 1;                                                                           \
-    while (_ls_looping) {                                                                      \
-      _CASTASGN(_ls_p,list);                                                                   \
-      _CASTASGN(_ls_oldhead,list);                                                             \
-      list = NULL;                                                                             \
-      _ls_tail = NULL;                                                                         \
-      _ls_nmerges = 0;                                                                         \
-      while (_ls_p) {                                                                          \
-        _ls_nmerges++;                                                                         \
-        _ls_q = _ls_p;                                                                         \
-        _ls_psize = 0;                                                                         \
-        for (_ls_i = 0; _ls_i < _ls_insize; _ls_i++) {                                         \
-          _ls_psize++;                                                                         \
-          _SV(_ls_q,list); _ls_q = _NEXT(_ls_q,list); _RS(list);                               \
-          if (!_ls_q) break;                                                                   \
-        }                                                                                      \
-        _ls_qsize = _ls_insize;                                                                \
-        while (_ls_psize > 0 || (_ls_qsize > 0 && _ls_q)) {                                    \
-          if (_ls_psize == 0) {                                                                \
-            _ls_e = _ls_q; _SV(_ls_q,list); _ls_q = _NEXT(_ls_q,list); _RS(list); _ls_qsize--; \
-          } else if (_ls_qsize == 0 || !_ls_q) {                                               \
-            _ls_e = _ls_p; _SV(_ls_p,list); _ls_p = _NEXT(_ls_p,list); _RS(list); _ls_psize--; \
-          } else if (cmp(_ls_p,_ls_q) <= 0) {                                                  \
-            _ls_e = _ls_p; _SV(_ls_p,list); _ls_p = _NEXT(_ls_p,list); _RS(list); _ls_psize--; \
-          } else {                                                                             \
-            _ls_e = _ls_q; _SV(_ls_q,list); _ls_q = _NEXT(_ls_q,list); _RS(list); _ls_qsize--; \
-          }                                                                                    \
-          if (_ls_tail) {                                                                      \
-            _SV(_ls_tail,list); _NEXTASGN(_ls_tail,list,_ls_e); _RS(list);                     \
-          } else {                                                                             \
-            _CASTASGN(list,_ls_e);                                                             \
-          }                                                                                    \
-          _SV(_ls_e,list); _PREVASGN(_ls_e,list,_ls_tail); _RS(list);                          \
-          _ls_tail = _ls_e;                                                                    \
-        }                                                                                      \
-        _ls_p = _ls_q;                                                                         \
-      }                                                                                        \
-      _CASTASGN(list->prev, _ls_tail);                                                         \
-      _SV(_ls_tail,list); _NEXTASGN(_ls_tail,list,NULL); _RS(list);                            \
-      if (_ls_nmerges <= 1) {                                                                  \
-        _ls_looping=0;                                                                         \
-      }                                                                                        \
-      _ls_insize *= 2;                                                                         \
-    }                                                                                          \
-  } else _tmp=NULL; /* quiet gcc unused variable warning */                                    \
-} while (0)
-
-#define CDL_SORT(list, cmp)                                                                    \
-do {                                                                                           \
-  LDECLTYPE(list) _ls_p;                                                                       \
-  LDECLTYPE(list) _ls_q;                                                                       \
-  LDECLTYPE(list) _ls_e;                                                                       \
-  LDECLTYPE(list) _ls_tail;                                                                    \
-  LDECLTYPE(list) _ls_oldhead;                                                                 \
-  LDECLTYPE(list) _tmp;                                                                        \
-  LDECLTYPE(list) _tmp2;                                                                       \
-  int _ls_insize, _ls_nmerges, _ls_psize, _ls_qsize, _ls_i, _ls_looping;                       \
-  if (list) {                                                                                  \
-    _ls_insize = 1;                                                                            \
-    _ls_looping = 1;                                                                           \
-    while (_ls_looping) {                                                                      \
-      _CASTASGN(_ls_p,list);                                                                   \
-      _CASTASGN(_ls_oldhead,list);                                                             \
-      list = NULL;                                                                             \
-      _ls_tail = NULL;                                                                         \
-      _ls_nmerges = 0;                                                                         \
-      while (_ls_p) {                                                                          \
-        _ls_nmerges++;                                                                         \
-        _ls_q = _ls_p;                                                                         \
-        _ls_psize = 0;                                                                         \
-        for (_ls_i = 0; _ls_i < _ls_insize; _ls_i++) {                                         \
-          _ls_psize++;                                                                         \
-          _SV(_ls_q,list);                                                                     \
-          if (_NEXT(_ls_q,list) == _ls_oldhead) {                                              \
-            _ls_q = NULL;                                                                      \
-          } else {                                                                             \
-            _ls_q = _NEXT(_ls_q,list);                                                         \
-          }                                                                                    \
-          _RS(list);                                                                           \
-          if (!_ls_q) break;                                                                   \
-        }                                                                                      \
-        _ls_qsize = _ls_insize;                                                                \
-        while (_ls_psize > 0 || (_ls_qsize > 0 && _ls_q)) {                                    \
-          if (_ls_psize == 0) {                                                                \
-            _ls_e = _ls_q; _SV(_ls_q,list); _ls_q = _NEXT(_ls_q,list); _RS(list); _ls_qsize--; \
-            if (_ls_q == _ls_oldhead) { _ls_q = NULL; }                                        \
-          } else if (_ls_qsize == 0 || !_ls_q) {                                               \
-            _ls_e = _ls_p; _SV(_ls_p,list); _ls_p = _NEXT(_ls_p,list); _RS(list); _ls_psize--; \
-            if (_ls_p == _ls_oldhead) { _ls_p = NULL; }                                        \
-          } else if (cmp(_ls_p,_ls_q) <= 0) {                                                  \
-            _ls_e = _ls_p; _SV(_ls_p,list); _ls_p = _NEXT(_ls_p,list); _RS(list); _ls_psize--; \
-            if (_ls_p == _ls_oldhead) { _ls_p = NULL; }                                        \
-          } else {                                                                             \
-            _ls_e = _ls_q; _SV(_ls_q,list); _ls_q = _NEXT(_ls_q,list); _RS(list); _ls_qsize--; \
-            if (_ls_q == _ls_oldhead) { _ls_q = NULL; }                                        \
-          }                                                                                    \
-          if (_ls_tail) {                                                                      \
-            _SV(_ls_tail,list); _NEXTASGN(_ls_tail,list,_ls_e); _RS(list);                     \
-          } else {                                                                             \
-            _CASTASGN(list,_ls_e);                                                             \
-          }                                                                                    \
-          _SV(_ls_e,list); _PREVASGN(_ls_e,list,_ls_tail); _RS(list);                          \
-          _ls_tail = _ls_e;                                                                    \
-        }                                                                                      \
-        _ls_p = _ls_q;                                                                         \
-      }                                                                                        \
-      _CASTASGN(list->prev,_ls_tail);                                                          \
-      _CASTASGN(_tmp2,list);                                                                   \
-      _SV(_ls_tail,list); _NEXTASGN(_ls_tail,list,_tmp2); _RS(list);                           \
-      if (_ls_nmerges <= 1) {                                                                  \
-        _ls_looping=0;                                                                         \
-      }                                                                                        \
-      _ls_insize *= 2;                                                                         \
-    }                                                                                          \
-  } else _tmp=NULL; /* quiet gcc unused variable warning */                                    \
-} while (0)
-
-/******************************************************************************
- * singly linked list macros (non-circular)                                   *
- *****************************************************************************/
-#define LL_PREPEND(head,add)                                                                   \
-do {                                                                                           \
-  (add)->next = head;                                                                          \
-  head = add;                                                                                  \
-} while (0)
-
-#define LL_CONCAT(head1,head2)                                                                 \
-do {                                                                                           \
-  LDECLTYPE(head1) _tmp;                                                                       \
-  if (head1) {                                                                                 \
-    _tmp = head1;                                                                              \
-    while (_tmp->next) { _tmp = _tmp->next; }                                                  \
-    _tmp->next=(head2);                                                                        \
-  } else {                                                                                     \
-    (head1)=(head2);                                                                           \
-  }                                                                                            \
-} while (0)
-
-#define LL_APPEND(head,add)                                                                    \
-do {                                                                                           \
-  LDECLTYPE(head) _tmp;                                                                        \
-  (add)->next=NULL;                                                                            \
-  if (head) {                                                                                  \
-    _tmp = head;                                                                               \
-    while (_tmp->next) { _tmp = _tmp->next; }                                                  \
-    _tmp->next=(add);                                                                          \
-  } else {                                                                                     \
-    (head)=(add);                                                                              \
-  }                                                                                            \
-} while (0)
-
-#define LL_DELETE(head,del)                                                                    \
-do {                                                                                           \
-  LDECLTYPE(head) _tmp;                                                                        \
-  if ((head) == (del)) {                                                                       \
-    (head)=(head)->next;                                                                       \
-  } else {                                                                                     \
-    _tmp = head;                                                                               \
-    while (_tmp->next && (_tmp->next != (del))) {                                              \
-      _tmp = _tmp->next;                                                                       \
-    }                                                                                          \
-    if (_tmp->next) {                                                                          \
-      _tmp->next = ((del)->next);                                                              \
-    }                                                                                          \
-  }                                                                                            \
-} while (0)
-
-/* Here are VS2008 replacements for LL_APPEND and LL_DELETE */
-#define LL_APPEND_VS2008(head,add)                                                             \
-do {                                                                                           \
-  if (head) {                                                                                  \
-    (add)->next = head;     /* use add->next as a temp variable */                             \
-    while ((add)->next->next) { (add)->next = (add)->next->next; }                             \
-    (add)->next->next=(add);                                                                   \
-  } else {                                                                                     \
-    (head)=(add);                                                                              \
-  }                                                                                            \
-  (add)->next=NULL;                                                                            \
-} while (0)
-
-#define LL_DELETE_VS2008(head,del)                                                             \
-do {                                                                                           \
-  if ((head) == (del)) {                                                                       \
-    (head)=(head)->next;                                                                       \
-  } else {                                                                                     \
-    char *_tmp = (char*)(head);                                                                \
-    while ((head)->next && ((head)->next != (del))) {                                          \
-      head = (head)->next;                                                                     \
-    }                                                                                          \
-    if ((head)->next) {                                                                        \
-      (head)->next = ((del)->next);                                                            \
-    }                                                                                          \
-    {                                                                                          \
-      char **_head_alias = (char**)&(head);                                                    \
-      *_head_alias = _tmp;                                                                     \
-    }                                                                                          \
-  }                                                                                            \
-} while (0)
-#ifdef NO_DECLTYPE
-#undef LL_APPEND
-#define LL_APPEND LL_APPEND_VS2008
-#undef LL_DELETE
-#define LL_DELETE LL_DELETE_VS2008
-#undef LL_CONCAT /* no LL_CONCAT_VS2008 */
-#undef DL_CONCAT /* no DL_CONCAT_VS2008 */
-#endif
-/* end VS2008 replacements */
-
-#define LL_FOREACH(head,el)                                                                    \
-    for(el=head;el;el=(el)->next)
-
-#define LL_FOREACH_SAFE(head,el,tmp)                                                           \
-  for((el)=(head);(el) && (tmp = (el)->next, 1); (el) = tmp)
-
-#define LL_SEARCH_SCALAR(head,out,field,val)                                                   \
-do {                                                                                           \
-    LL_FOREACH(head,out) {                                                                     \
-      if ((out)->field == (val)) break;                                                        \
-    }                                                                                          \
-} while(0) 
-
-#define LL_SEARCH(head,out,elt,cmp)                                                            \
-do {                                                                                           \
-    LL_FOREACH(head,out) {                                                                     \
-      if ((cmp(out,elt))==0) break;                                                            \
-    }                                                                                          \
-} while(0) 
-
-/******************************************************************************
- * doubly linked list macros (non-circular)                                   *
- *****************************************************************************/
-#define DL_PREPEND(head,add)                                                                   \
-do {                                                                                           \
- (add)->next = head;                                                                           \
- if (head) {                                                                                   \
-   (add)->prev = (head)->prev;                                                                 \
-   (head)->prev = (add);                                                                       \
- } else {                                                                                      \
-   (add)->prev = (add);                                                                        \
- }                                                                                             \
- (head) = (add);                                                                               \
-} while (0)
-
-#define DL_APPEND(head,add)                                                                    \
-do {                                                                                           \
-  if (head) {                                                                                  \
-      (add)->prev = (head)->prev;                                                              \
-      (head)->prev->next = (add);                                                              \
-      (head)->prev = (add);                                                                    \
-      (add)->next = NULL;                                                                      \
-  } else {                                                                                     \
-      (head)=(add);                                                                            \
-      (head)->prev = (head);                                                                   \
-      (head)->next = NULL;                                                                     \
-  }                                                                                            \
-} while (0) 
-
-#define DL_CONCAT(head1,head2)                                                                 \
-do {                                                                                           \
-  LDECLTYPE(head1) _tmp;                                                                       \
-  if (head2) {                                                                                 \
-    if (head1) {                                                                               \
-        _tmp = (head2)->prev;                                                                  \
-        (head2)->prev = (head1)->prev;                                                         \
-        (head1)->prev->next = (head2);                                                         \
-        (head1)->prev = _tmp;                                                                  \
-    } else {                                                                                   \
-        (head1)=(head2);                                                                       \
-    }                                                                                          \
-  }                                                                                            \
-} while (0) 
-
-#define DL_DELETE(head,del)                                                                    \
-do {                                                                                           \
-  assert((del)->prev != NULL);                                                                 \
-  if ((del)->prev == (del)) {                                                                  \
-      (head)=NULL;                                                                             \
-  } else if ((del)==(head)) {                                                                  \
-      (del)->next->prev = (del)->prev;                                                         \
-      (head) = (del)->next;                                                                    \
-  } else {                                                                                     \
-      (del)->prev->next = (del)->next;                                                         \
-      if ((del)->next) {                                                                       \
-          (del)->next->prev = (del)->prev;                                                     \
-      } else {                                                                                 \
-          (head)->prev = (del)->prev;                                                          \
-      }                                                                                        \
-  }                                                                                            \
-} while (0) 
-
-
-#define DL_FOREACH(head,el)                                                                    \
-    for(el=head;el;el=(el)->next)
-
-/* this version is safe for deleting the elements during iteration */
-#define DL_FOREACH_SAFE(head,el,tmp)                                                           \
-  for((el)=(head);(el) && (tmp = (el)->next, 1); (el) = tmp)
-
-/* these are identical to their singly-linked list counterparts */
-#define DL_SEARCH_SCALAR LL_SEARCH_SCALAR
-#define DL_SEARCH LL_SEARCH
-
-/******************************************************************************
- * circular doubly linked list macros                                         *
- *****************************************************************************/
-#define CDL_PREPEND(head,add)                                                                  \
-do {                                                                                           \
- if (head) {                                                                                   \
-   (add)->prev = (head)->prev;                                                                 \
-   (add)->next = (head);                                                                       \
-   (head)->prev = (add);                                                                       \
-   (add)->prev->next = (add);                                                                  \
- } else {                                                                                      \
-   (add)->prev = (add);                                                                        \
-   (add)->next = (add);                                                                        \
- }                                                                                             \
-(head)=(add);                                                                                  \
-} while (0)
-
-#define CDL_DELETE(head,del)                                                                   \
-do {                                                                                           \
-  if ( ((head)==(del)) && ((head)->next == (head))) {                                          \
-      (head) = 0L;                                                                             \
-  } else {                                                                                     \
-     (del)->next->prev = (del)->prev;                                                          \
-     (del)->prev->next = (del)->next;                                                          \
-     if ((del) == (head)) (head)=(del)->next;                                                  \
-  }                                                                                            \
-} while (0) 
-
-#define CDL_FOREACH(head,el)                                                                   \
-    for(el=head;el;el=((el)->next==head ? 0L : (el)->next)) 
-
-#define CDL_FOREACH_SAFE(head,el,tmp1,tmp2)                                                    \
-  for((el)=(head), ((tmp1)=(head)?((head)->prev):NULL);                                        \
-      (el) && ((tmp2)=(el)->next, 1);                                                          \
-      ((el) = (((el)==(tmp1)) ? 0L : (tmp2))))
-
-#define CDL_SEARCH_SCALAR(head,out,field,val)                                                  \
-do {                                                                                           \
-    CDL_FOREACH(head,out) {                                                                    \
-      if ((out)->field == (val)) break;                                                        \
-    }                                                                                          \
-} while(0) 
-
-#define CDL_SEARCH(head,out,elt,cmp)                                                           \
-do {                                                                                           \
-    CDL_FOREACH(head,out) {                                                                    \
-      if ((cmp(out,elt))==0) break;                                                            \
-    }                                                                                          \
-} while(0) 
-
-#endif /* UTLIST_H */
-
diff --git a/apps/systemlib/uthash/utstring.h b/apps/systemlib/uthash/utstring.h
deleted file mode 100644
index a181ad778..000000000
--- a/apps/systemlib/uthash/utstring.h
+++ /dev/null
@@ -1,148 +0,0 @@
-/*
-Copyright (c) 2008-2012, Troy D. Hanson   http://uthash.sourceforge.net
-All rights reserved.
-
-Redistribution and use in source and binary forms, with or without
-modification, are permitted provided that the following conditions are met:
-
-    * Redistributions of source code must retain the above copyright
-      notice, this list of conditions and the following disclaimer.
-
-THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS
-IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
-TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A
-PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER
-OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
-PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
-PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
-LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
-NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
-SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
-*/
-
-/* a dynamic string implementation using macros 
- * see http://uthash.sourceforge.net/utstring
- */
-#ifndef UTSTRING_H
-#define UTSTRING_H
-
-#define UTSTRING_VERSION 1.9.6
-
-#ifdef __GNUC__
-#define _UNUSED_ __attribute__ ((__unused__)) 
-#else
-#define _UNUSED_ 
-#endif
-
-#include 
-#include 
-#include 
-#define oom() exit(-1)
-
-typedef struct {
-    char *d;
-    size_t n; /* allocd size */
-    size_t i; /* index of first unused byte */
-} UT_string;
-
-#define utstring_reserve(s,amt)                            \
-do {                                                       \
-  if (((s)->n - (s)->i) < (size_t)(amt)) {                 \
-     (s)->d = (char*)realloc((s)->d, (s)->n + amt);        \
-     if ((s)->d == NULL) oom();                            \
-     (s)->n += amt;                                        \
-  }                                                        \
-} while(0)
-
-#define utstring_init(s)                                   \
-do {                                                       \
-  (s)->n = 0; (s)->i = 0; (s)->d = NULL;                   \
-  utstring_reserve(s,100);                                 \
-  (s)->d[0] = '\0'; \
-} while(0)
-
-#define utstring_done(s)                                   \
-do {                                                       \
-  if ((s)->d != NULL) free((s)->d);                        \
-  (s)->n = 0;                                              \
-} while(0)
-
-#define utstring_free(s)                                   \
-do {                                                       \
-  utstring_done(s);                                        \
-  free(s);                                                 \
-} while(0)
-
-#define utstring_new(s)                                    \
-do {                                                       \
-   s = (UT_string*)calloc(sizeof(UT_string),1);            \
-   if (!s) oom();                                          \
-   utstring_init(s);                                       \
-} while(0)
-
-#define utstring_renew(s)                                  \
-do {                                                       \
-   if (s) {                                                \
-     utstring_clear(s);                                    \
-   } else {                                                \
-     utstring_new(s);                                      \
-   }                                                       \
-} while(0)
-
-#define utstring_clear(s)                                  \
-do {                                                       \
-  (s)->i = 0;                                              \
-  (s)->d[0] = '\0';                                        \
-} while(0)
-
-#define utstring_bincpy(s,b,l)                             \
-do {                                                       \
-  utstring_reserve((s),(l)+1);                               \
-  if (l) memcpy(&(s)->d[(s)->i], b, l);                    \
-  (s)->i += l;                                               \
-  (s)->d[(s)->i]='\0';                                         \
-} while(0)
-
-#define utstring_concat(dst,src)                                 \
-do {                                                             \
-  utstring_reserve((dst),((src)->i)+1);                          \
-  if ((src)->i) memcpy(&(dst)->d[(dst)->i], (src)->d, (src)->i); \
-  (dst)->i += (src)->i;                                          \
-  (dst)->d[(dst)->i]='\0';                                       \
-} while(0)
-
-#define utstring_len(s) ((unsigned)((s)->i))
-
-#define utstring_body(s) ((s)->d)
-
-_UNUSED_ static void utstring_printf_va(UT_string *s, const char *fmt, va_list ap) {
-   int n;
-   va_list cp;
-   while (1) {
-#ifdef _WIN32
-      cp = ap;
-#else
-      va_copy(cp, ap);
-#endif
-      n = vsnprintf (&s->d[s->i], s->n-s->i, fmt, cp);
-      va_end(cp);
-
-      if ((n > -1) && (n < (int)(s->n-s->i))) {
-        s->i += n;
-        return;
-      }
-
-      /* Else try again with more space. */
-      if (n > -1) utstring_reserve(s,n+1); /* exact */
-      else utstring_reserve(s,(s->n)*2);   /* 2x */
-   }
-}
-_UNUSED_ static void utstring_printf(UT_string *s, const char *fmt, ...) {
-   va_list ap;
-   va_start(ap,fmt);
-   utstring_printf_va(s,fmt,ap);
-   va_end(ap);
-}
-
-#endif /* UTSTRING_H */
diff --git a/apps/systemlib/visibility.h b/apps/systemlib/visibility.h
deleted file mode 100644
index 2c6adc062..000000000
--- a/apps/systemlib/visibility.h
+++ /dev/null
@@ -1,62 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file visibility.h
- *
- * Definitions controlling symbol naming and visibility.
- *
- * This file is normally included automatically by the build system.
- */
-
-#ifndef __SYSTEMLIB_VISIBILITY_H
-#define __SYSTEMLIB_VISIBILITY_H
-
-#ifdef __EXPORT
-#  undef __EXPORT
-#endif
-#define __EXPORT __attribute__ ((visibility ("default")))
-
-#ifdef __PRIVATE
-#  undef __PRIVATE
-#endif
-#define __PRIVATE __attribute__ ((visibility ("hidden")))
-
-#ifdef __cplusplus
-#  define __BEGIN_DECLS		extern "C" {
-#  define __END_DECLS		}
-#else
-#  define __BEGIN_DECLS
-#  define __END_DECLS
-#endif
-#endif
\ No newline at end of file
diff --git a/apps/uORB/.context b/apps/uORB/.context
deleted file mode 100644
index e69de29bb..000000000
diff --git a/apps/uORB/Makefile b/apps/uORB/Makefile
deleted file mode 100644
index 64ba52e9c..000000000
--- a/apps/uORB/Makefile
+++ /dev/null
@@ -1,42 +0,0 @@
-############################################################################
-#
-#   Copyright (C) 2012 PX4 Development Team. All rights reserved.
-#
-# Redistribution and use in source and binary forms, with or without
-# modification, are permitted provided that the following conditions
-# are met:
-#
-# 1. Redistributions of source code must retain the above copyright
-#    notice, this list of conditions and the following disclaimer.
-# 2. Redistributions in binary form must reproduce the above copyright
-#    notice, this list of conditions and the following disclaimer in
-#    the documentation and/or other materials provided with the
-#    distribution.
-# 3. Neither the name PX4 nor the names of its contributors may be
-#    used to endorse or promote products derived from this software
-#    without specific prior written permission.
-#
-# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-# "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-# LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-# FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
-# COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-# INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-# BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
-# OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
-# AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-# LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-# ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-# POSSIBILITY OF SUCH DAMAGE.
-#
-############################################################################
-
-#
-# Makefile to build uORB
-#
-
-APPNAME		 = uorb
-PRIORITY	 = SCHED_PRIORITY_DEFAULT
-STACKSIZE	 = 4096
-
-include $(APPDIR)/mk/app.mk
diff --git a/apps/uORB/objects_common.cpp b/apps/uORB/objects_common.cpp
deleted file mode 100644
index 136375140..000000000
--- a/apps/uORB/objects_common.cpp
+++ /dev/null
@@ -1,153 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file objects_common.cpp
- *
- * Common object definitions without a better home.
- */
-
-#include 
-
-#include 
-
-#include 
-ORB_DEFINE(sensor_mag, struct mag_report);
-
-#include 
-ORB_DEFINE(sensor_accel, struct accel_report);
-
-#include 
-ORB_DEFINE(sensor_gyro, struct gyro_report);
-
-#include 
-ORB_DEFINE(sensor_baro, struct baro_report);
-
-#include 
-ORB_DEFINE(sensor_range_finder, struct range_finder_report);
-
-#include 
-ORB_DEFINE(output_pwm, struct pwm_output_values);
-
-#include 
-ORB_DEFINE(input_rc, struct rc_input_values);
-
-#include "topics/vehicle_attitude.h"
-ORB_DEFINE(vehicle_attitude, struct vehicle_attitude_s);
-
-#include "topics/sensor_combined.h"
-ORB_DEFINE(sensor_combined, struct sensor_combined_s);
-
-#include "topics/vehicle_gps_position.h"
-ORB_DEFINE(vehicle_gps_position, struct vehicle_gps_position_s);
-
-#include "topics/home_position.h"
-ORB_DEFINE(home_position, struct home_position_s);
-
-#include "topics/vehicle_status.h"
-ORB_DEFINE(vehicle_status, struct vehicle_status_s);
-
-#include "topics/battery_status.h"
-ORB_DEFINE(battery_status, struct battery_status_s);
-
-#include "topics/vehicle_global_position.h"
-ORB_DEFINE(vehicle_global_position, struct vehicle_global_position_s);
-
-#include "topics/vehicle_local_position.h"
-ORB_DEFINE(vehicle_local_position, struct vehicle_local_position_s);
-
-#include "topics/vehicle_vicon_position.h"
-ORB_DEFINE(vehicle_vicon_position, struct vehicle_vicon_position_s);
-
-#include "topics/vehicle_rates_setpoint.h"
-ORB_DEFINE(vehicle_rates_setpoint, struct vehicle_rates_setpoint_s);
-
-#include "topics/rc_channels.h"
-ORB_DEFINE(rc_channels, struct rc_channels_s);
-
-#include "topics/vehicle_command.h"
-ORB_DEFINE(vehicle_command, struct vehicle_command_s);
-
-#include "topics/vehicle_local_position_setpoint.h"
-ORB_DEFINE(vehicle_local_position_setpoint, struct vehicle_local_position_setpoint_s);
-
-#include "topics/vehicle_global_position_setpoint.h"
-ORB_DEFINE(vehicle_global_position_setpoint, struct vehicle_global_position_setpoint_s);
-
-#include "topics/vehicle_global_position_set_triplet.h"
-ORB_DEFINE(vehicle_global_position_set_triplet, struct vehicle_global_position_set_triplet_s);
-
-#include "topics/vehicle_attitude_setpoint.h"
-ORB_DEFINE(vehicle_attitude_setpoint, struct vehicle_attitude_setpoint_s);
-
-#include "topics/manual_control_setpoint.h"
-ORB_DEFINE(manual_control_setpoint, struct manual_control_setpoint_s);
-
-#include "topics/offboard_control_setpoint.h"
-ORB_DEFINE(offboard_control_setpoint, struct offboard_control_setpoint_s);
-
-#include "topics/optical_flow.h"
-ORB_DEFINE(optical_flow, struct optical_flow_s);
-
-#include "topics/omnidirectional_flow.h"
-ORB_DEFINE(omnidirectional_flow, struct omnidirectional_flow_s);
-
-#include "topics/differential_pressure.h"
-ORB_DEFINE(differential_pressure, struct differential_pressure_s);
-
-#include "topics/subsystem_info.h"
-ORB_DEFINE(subsystem_info, struct subsystem_info_s);
-
-/* actuator controls, as requested by controller */
-#include "topics/actuator_controls.h"
-ORB_DEFINE(actuator_controls_0, struct actuator_controls_s);
-ORB_DEFINE(actuator_controls_1, struct actuator_controls_s);
-ORB_DEFINE(actuator_controls_2, struct actuator_controls_s);
-ORB_DEFINE(actuator_controls_3, struct actuator_controls_s);
-ORB_DEFINE(actuator_armed, struct actuator_armed_s);
-
-/* actuator controls, as set by actuators / mixers after limiting */
-#include "topics/actuator_controls_effective.h"
-ORB_DEFINE(actuator_controls_effective_0, struct actuator_controls_effective_s);
-ORB_DEFINE(actuator_controls_effective_1, struct actuator_controls_effective_s);
-ORB_DEFINE(actuator_controls_effective_2, struct actuator_controls_effective_s);
-ORB_DEFINE(actuator_controls_effective_3, struct actuator_controls_effective_s);
-
-#include "topics/actuator_outputs.h"
-ORB_DEFINE(actuator_outputs_0, struct actuator_outputs_s);
-ORB_DEFINE(actuator_outputs_1, struct actuator_outputs_s);
-ORB_DEFINE(actuator_outputs_2, struct actuator_outputs_s);
-ORB_DEFINE(actuator_outputs_3, struct actuator_outputs_s);
-
-#include "topics/debug_key_value.h"
-ORB_DEFINE(debug_key_value, struct debug_key_value_s);
diff --git a/apps/uORB/topics/actuator_controls.h b/apps/uORB/topics/actuator_controls.h
deleted file mode 100644
index 0b50a29ac..000000000
--- a/apps/uORB/topics/actuator_controls.h
+++ /dev/null
@@ -1,77 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file actuator_controls.h
- *
- * Actuator control topics - mixer inputs.
- *
- * Values published to these topics are the outputs of the vehicle control
- * system, and are expected to be mixed and used to drive the actuators
- * (servos, speed controls, etc.) that operate the vehicle.
- *
- * Each topic can be published by a single controller
- */
-
-#ifndef TOPIC_ACTUATOR_CONTROLS_H
-#define TOPIC_ACTUATOR_CONTROLS_H
-
-#include 
-#include "../uORB.h"
-
-#define NUM_ACTUATOR_CONTROLS		8
-#define NUM_ACTUATOR_CONTROL_GROUPS	4	/**< for sanity checking */
-
-struct actuator_controls_s {
-	uint64_t timestamp;
-	float	control[NUM_ACTUATOR_CONTROLS];
-};
-
-/* actuator control sets; this list can be expanded as more controllers emerge */
-ORB_DECLARE(actuator_controls_0);
-ORB_DECLARE(actuator_controls_1);
-ORB_DECLARE(actuator_controls_2);
-ORB_DECLARE(actuator_controls_3);
-
-/* control sets with pre-defined applications */
-#define ORB_ID_VEHICLE_ATTITUDE_CONTROLS	ORB_ID(actuator_controls_0)
-
-/** global 'actuator output is live' control. */
-struct actuator_armed_s {
-	bool	armed;		/**< Set to true if system is armed */
-	bool	lockdown;	/**< Set to true if actuators are forced to being disabled (due to emergency or HIL) */
-};
-
-ORB_DECLARE(actuator_armed);
-
-#endif
\ No newline at end of file
diff --git a/apps/uORB/topics/actuator_controls_effective.h b/apps/uORB/topics/actuator_controls_effective.h
deleted file mode 100644
index 088c4fc8f..000000000
--- a/apps/uORB/topics/actuator_controls_effective.h
+++ /dev/null
@@ -1,70 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file actuator_controls_effective.h
- *
- * Actuator control topics - mixer inputs.
- *
- * Values published to these topics are the outputs of the vehicle control
- * system and mixing process; they are the control-scale values that are
- * then fed to the actual actuator driver.
- *
- * Each topic can be published by a single controller
- */
-
-#ifndef TOPIC_ACTUATOR_CONTROLS_EFFECTIVE_H
-#define TOPIC_ACTUATOR_CONTROLS_EFFECTIVE_H
-
-#include 
-#include "../uORB.h"
-#include "actuator_controls.h"
-
-#define NUM_ACTUATOR_CONTROLS_EFFECTIVE		NUM_ACTUATOR_CONTROLS
-#define NUM_ACTUATOR_CONTROL_GROUPS_EFFECTIVE	NUM_ACTUATOR_CONTROL_GROUPS	/**< for sanity checking */
-
-struct actuator_controls_effective_s {
-	uint64_t timestamp;
-	float	control_effective[NUM_ACTUATOR_CONTROLS_EFFECTIVE];
-};
-
-/* actuator control sets; this list can be expanded as more controllers emerge */
-ORB_DECLARE(actuator_controls_effective_0);
-ORB_DECLARE(actuator_controls_effective_1);
-ORB_DECLARE(actuator_controls_effective_2);
-ORB_DECLARE(actuator_controls_effective_3);
-
-/* control sets with pre-defined applications */
-#define ORB_ID_VEHICLE_ATTITUDE_CONTROLS_EFFECTIVE	ORB_ID(actuator_controls_effective_0)
-
-#endif /* TOPIC_ACTUATOR_CONTROLS_EFFECTIVE_H */
\ No newline at end of file
diff --git a/apps/uORB/topics/actuator_outputs.h b/apps/uORB/topics/actuator_outputs.h
deleted file mode 100644
index bbe429073..000000000
--- a/apps/uORB/topics/actuator_outputs.h
+++ /dev/null
@@ -1,70 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file actuator_outputs.h
- *
- * Actuator output values.
- *
- * Values published to these topics are the outputs of the control mixing
- * system as sent to the actuators (servos, motors, etc.) that operate
- * the vehicle.
- *
- * Each topic can be published by a single output driver.
- */
-
-#ifndef TOPIC_ACTUATOR_OUTPUTS_H
-#define TOPIC_ACTUATOR_OUTPUTS_H
-
-#include 
-#include "../uORB.h"
-
-#define NUM_ACTUATOR_OUTPUTS		16
-#define NUM_ACTUATOR_OUTPUT_GROUPS	4	/**< for sanity checking */
-
-struct actuator_outputs_s {
-	uint64_t timestamp;				/**< output timestamp in us since system boot */
-	float	output[NUM_ACTUATOR_OUTPUTS];		/**< output data, in natural output units */
-	int noutputs;					/**< valid outputs */
-};
-
-/* actuator output sets; this list can be expanded as more drivers emerge */
-ORB_DECLARE(actuator_outputs_0);
-ORB_DECLARE(actuator_outputs_1);
-ORB_DECLARE(actuator_outputs_2);
-ORB_DECLARE(actuator_outputs_3);
-
-/* output sets with pre-defined applications */
-#define ORB_ID_VEHICLE_CONTROLS		ORB_ID(actuator_outputs_0)
-
-#endif
\ No newline at end of file
diff --git a/apps/uORB/topics/battery_status.h b/apps/uORB/topics/battery_status.h
deleted file mode 100644
index c40d0d4e5..000000000
--- a/apps/uORB/topics/battery_status.h
+++ /dev/null
@@ -1,68 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012-2013 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file battery_status.h
- *
- * Definition of the battery status uORB topic.
- */
-
-#ifndef BATTERY_STATUS_H_
-#define BATTERY_STATUS_H_
-
-#include "../uORB.h"
-#include 
-
-/**
- * @addtogroup topics
- * @{
- */
-
-/**
- * Battery voltages and status
- */
-struct battery_status_s {
-	uint64_t	timestamp;		/**< microseconds since system boot, needed to integrate */
-	float   	voltage_v;		/**< Battery voltage in volts, filtered           	 */
-	float		current_a;		/**< Battery current in amperes, filtered, -1 if unknown */
-	float		discharged_mah;		/**< Discharged amount in mAh, filtered, -1 if unknown	 */
-};
-
-/**
- * @}
- */
-
-/* register this as object request broker structure */
-ORB_DECLARE(battery_status);
-
-#endif
\ No newline at end of file
diff --git a/apps/uORB/topics/debug_key_value.h b/apps/uORB/topics/debug_key_value.h
deleted file mode 100644
index a9d1b83fd..000000000
--- a/apps/uORB/topics/debug_key_value.h
+++ /dev/null
@@ -1,75 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *   Author: @author Lorenz Meier 
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file debug_key_value.h
- * Definition of the debug named value uORB topic. Allows to send a 10-char key
- * with a float as value.
- */
-
-#ifndef TOPIC_DEBUG_KEY_VALUE_H_
-#define TOPIC_DEBUG_KEY_VALUE_H_
-
-#include 
-#include 
-#include "../uORB.h"
-
-/**
- * @addtogroup topics
- */
-
-/**
- * Key/value pair for debugging
- */
-struct debug_key_value_s {
-
-	/*
-	 * Actual data, this is specific to the type of data which is stored in this struct
-	 * A line containing L0GME will be added by the Python logging code generator to the
-	 * logged dataset.
-	 */
-	uint32_t timestamp_ms;		/**< in milliseconds since system start */
-	char key[10];				/**< max. 10 characters as key / name */
-	float value;				/**< the value to send as debug output */
-
-};
-
-/**
- * @}
- */
-
-/* register this as object request broker structure */
-ORB_DECLARE(debug_key_value);
-
-#endif
diff --git a/apps/uORB/topics/differential_pressure.h b/apps/uORB/topics/differential_pressure.h
deleted file mode 100644
index d5e4bf37e..000000000
--- a/apps/uORB/topics/differential_pressure.h
+++ /dev/null
@@ -1,71 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012-2013 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file differential_pressure.h
- *
- * Definition of differential pressure topic
- */
-
-#ifndef TOPIC_DIFFERENTIAL_PRESSURE_H_
-#define TOPIC_DIFFERENTIAL_PRESSURE_H_
-
-#include "../uORB.h"
-#include 
-
-/**
- * @addtogroup topics
- * @{
- */
-
-/**
- * Differential pressure and airspeed
- */
-struct differential_pressure_s {
-	uint64_t	timestamp;					/**< microseconds since system boot, needed to integrate */
-	float   	static_pressure_mbar;		/**< Static / environment pressure */
-	float		differential_pressure_mbar;	/**< Differential pressure reading */
-	float		temperature_celcius;		/**< ambient temperature in celcius, -1 if unknown */
-	float		indicated_airspeed_m_s;		/**< indicated airspeed in meters per second, -1 if unknown	 */
-	float		true_airspeed_m_s;			/**< true airspeed in meters per second, -1 if unknown */
-	float		voltage;					/**< Voltage from the airspeed sensor (voltage divider already compensated) */
-};
-
-/**
- * @}
- */
-
-/* register this as object request broker structure */
-ORB_DECLARE(differential_pressure);
-
-#endif
diff --git a/apps/uORB/topics/home_position.h b/apps/uORB/topics/home_position.h
deleted file mode 100644
index 7e1b82a0f..000000000
--- a/apps/uORB/topics/home_position.h
+++ /dev/null
@@ -1,77 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012-2013 PX4 Development Team. All rights reserved.
- *   Author: Lorenz Meier 
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file home_position.h
- * Definition of the GPS home position uORB topic.
- *
- * @author Lorenz Meier 
- */
-
-#ifndef TOPIC_HOME_POSITION_H_
-#define TOPIC_HOME_POSITION_H_
-
-#include 
-#include "../uORB.h"
-
-/**
- * @addtogroup topics
- * @{
- */
-
-/**
- * GPS home position in WGS84 coordinates.
- */
-struct home_position_s
-{
-	uint64_t timestamp;             /**< Timestamp (microseconds since system boot)   */
-	uint64_t time_gps_usec;         /**< Timestamp (microseconds in GPS format), this is the timestamp from the gps module   */
-	
-	int32_t lat;                    /**< Latitude in 1E7 degrees */
-	int32_t lon;                    /**< Longitude in 1E7 degrees */
-	int32_t alt;                    /**< Altitude in 1E3 meters (millimeters) above MSL */
-	float eph_m;                   /**< GPS HDOP horizontal dilution of position in m */
-	float epv_m;                   /**< GPS VDOP horizontal dilution of position in m */
-	float s_variance_m_s;               /**< speed accuracy estimate m/s */
-	float p_variance_m;               /**< position accuracy estimate m */
-};
-
-/**
- * @}
- */
-
-/* register this as object request broker structure */
-ORB_DECLARE(home_position);
-
-#endif
diff --git a/apps/uORB/topics/manual_control_setpoint.h b/apps/uORB/topics/manual_control_setpoint.h
deleted file mode 100644
index 261a8a4ad..000000000
--- a/apps/uORB/topics/manual_control_setpoint.h
+++ /dev/null
@@ -1,88 +0,0 @@
-/****************************************************************************
- *
- *	 Copyright (C) 2008-2012 PX4 Development Team. All rights reserved.
- *	 Author: @author Lorenz Meier 
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *		notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *		notice, this list of conditions and the following disclaimer in
- *		the documentation and/or other materials provided with the
- *		distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *		used to endorse or promote products derived from this software
- *		without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file manual_control_setpoint.h
- * Definition of the manual_control_setpoint uORB topic.
- */
-
-#ifndef TOPIC_MANUAL_CONTROL_SETPOINT_H_
-#define TOPIC_MANUAL_CONTROL_SETPOINT_H_
-
-#include 
-#include "../uORB.h"
-
-/**
- * @addtogroup topics
- * @{
- */
-
-struct manual_control_setpoint_s {
-	uint64_t timestamp;
-
-	float roll;			 	/**< ailerons roll / roll rate input */
-	float pitch;				/**< elevator / pitch / pitch rate */
-	float yaw;				/**< rudder / yaw rate / yaw */
-	float throttle;				/**< throttle / collective thrust / altitude */
-
-	float manual_override_switch;		/**< manual override mode (mandatory) */
-	float auto_mode_switch;			/**< auto mode switch (mandatory) */
-
-	/**
-	 * Any of the channels below may not be available and be set to NaN
-	 * to indicate that it does not contain valid data.
-	 */
-	float manual_mode_switch;		/**< manual mode (man, sas, alt) switch (optional) */
-	float manual_sas_switch;		/**< sas mode (rates / attitude) switch (optional) */
-	float return_to_launch_switch;		/**< return to launch switch (0 = disabled, 1 = enabled) */
-	float auto_offboard_input_switch;	/**< controller setpoint source (0 = onboard, 1 = offboard) */
-
-	float flaps;				/**< flap position */
-
-	float aux1;				/**< default function: camera yaw / azimuth */
-	float aux2;				/**< default function: camera pitch / tilt */
-	float aux3;				/**< default function: camera trigger */
-	float aux4;				/**< default function: camera roll */
-	float aux5;				/**< default function: payload drop */
-
-}; /**< manual control inputs */
-
-/**
- * @}
- */
-
-/* register this as object request broker structure */
-ORB_DECLARE(manual_control_setpoint);
-
-#endif
diff --git a/apps/uORB/topics/offboard_control_setpoint.h b/apps/uORB/topics/offboard_control_setpoint.h
deleted file mode 100644
index 2e895c59c..000000000
--- a/apps/uORB/topics/offboard_control_setpoint.h
+++ /dev/null
@@ -1,94 +0,0 @@
-/****************************************************************************
- *
- *	 Copyright (C) 2008-2012 PX4 Development Team. All rights reserved.
- *	 Author: @author Lorenz Meier 
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *		notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *		notice, this list of conditions and the following disclaimer in
- *		the documentation and/or other materials provided with the
- *		distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *		used to endorse or promote products derived from this software
- *		without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file offboard_control_setpoint.h
- * Definition of the manual_control_setpoint uORB topic.
- */
-
-#ifndef TOPIC_OFFBOARD_CONTROL_SETPOINT_H_
-#define TOPIC_OFFBOARD_CONTROL_SETPOINT_H_
-
-#include 
-#include "../uORB.h"
-
-/**
- * @addtogroup topics
- * @{
- */
-
-/**
- * Off-board control inputs.
- * 
- * Typically sent by a ground control station / joystick or by
- * some off-board controller via C or SIMULINK.
- */
-enum OFFBOARD_CONTROL_MODE
-{
-	OFFBOARD_CONTROL_MODE_DIRECT = 0,
-	OFFBOARD_CONTROL_MODE_DIRECT_RATES = 1,
-	OFFBOARD_CONTROL_MODE_DIRECT_ATTITUDE = 2,
-	OFFBOARD_CONTROL_MODE_DIRECT_VELOCITY = 3,
-	OFFBOARD_CONTROL_MODE_DIRECT_POSITION = 4,
-	OFFBOARD_CONTROL_MODE_ATT_YAW_RATE = 5,
-	OFFBOARD_CONTROL_MODE_ATT_YAW_POS = 6,
-	OFFBOARD_CONTROL_MODE_MULTIROTOR_SIMPLE = 7, /**< roll / pitch rotated aligned to the takeoff orientation, throttle stabilized, yaw pos */
-};
-
-struct offboard_control_setpoint_s {
-	uint64_t timestamp;
-
-	enum OFFBOARD_CONTROL_MODE mode;		 /**< The current control inputs mode */
-	bool armed;	/**< Armed flag set, yes / no */
-	float p1;	/**< ailerons roll / roll rate input */
-	float p2;	/**< elevator / pitch / pitch rate */
-	float p3;	/**< rudder / yaw rate / yaw */
-	float p4;	/**< throttle / collective thrust / altitude */
-
-	float override_mode_switch;
-
-	float aux1_cam_pan_flaps;
-	float aux2_cam_tilt;
-	float aux3_cam_zoom;
-	float aux4_cam_roll;
-
-}; /**< offboard control inputs */
-/**
- * @}
- */
-
-/* register this as object request broker structure */
-ORB_DECLARE(offboard_control_setpoint);
-
-#endif
diff --git a/apps/uORB/topics/omnidirectional_flow.h b/apps/uORB/topics/omnidirectional_flow.h
deleted file mode 100644
index 8f4be3b3f..000000000
--- a/apps/uORB/topics/omnidirectional_flow.h
+++ /dev/null
@@ -1,75 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *   Author: @author Lorenz Meier 
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file optical_flow.h
- * Definition of the optical flow uORB topic.
- */
-
-#ifndef TOPIC_OMNIDIRECTIONAL_FLOW_H_
-#define TOPIC_OMNIDIRECTIONAL_FLOW_H_
-
-#include 
-#include 
-#include "../uORB.h"
-
-/**
- * @addtogroup topics
- */
-
-/**
- * Omnidirectional optical flow in NED body frame in SI units.
- *
- * @see http://en.wikipedia.org/wiki/International_System_of_Units
- */
-struct omnidirectional_flow_s {
-
-	uint64_t timestamp;		/**< in microseconds since system start          */
-
-	uint16_t left[10];		/**< Left flow, in decipixels */
-	uint16_t right[10];		/**< Right flow, in decipixels */
-	float front_distance_m;		/**< Altitude / distance to object front in meters */
-	uint8_t	quality;		/**< Quality of the measurement, 0: bad quality, 255: maximum quality */
-	uint8_t sensor_id;		/**< id of the sensor emitting the flow value */
-
-};
-
-/**
- * @}
- */
-
-/* register this as object request broker structure */
-ORB_DECLARE(omnidirectional_flow);
-
-#endif
diff --git a/apps/uORB/topics/optical_flow.h b/apps/uORB/topics/optical_flow.h
deleted file mode 100644
index c854f0079..000000000
--- a/apps/uORB/topics/optical_flow.h
+++ /dev/null
@@ -1,77 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *   Author: @author Lorenz Meier 
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file optical_flow.h
- * Definition of the optical flow uORB topic.
- */
-
-#ifndef TOPIC_OPTICAL_FLOW_H_
-#define TOPIC_OPTICAL_FLOW_H_
-
-#include 
-#include 
-#include "../uORB.h"
-
-/**
- * @addtogroup topics
- */
-
-/**
- * Optical flow in NED body frame in SI units.
- *
- * @see http://en.wikipedia.org/wiki/International_System_of_Units
- */
-struct optical_flow_s {
-
-	uint64_t timestamp;		/**< in microseconds since system start          */
-
-	uint16_t flow_raw_x;		/**< flow in pixels in X direction, not rotation-compensated */
-	uint16_t flow_raw_y;		/**< flow in pixels in Y direction, not rotation-compensated */
-	float flow_comp_x_m;		/**< speed over ground in meters, rotation-compensated */
-	float flow_comp_y_m;		/**< speed over ground in meters, rotation-compensated */
-	float ground_distance_m;	/**< Altitude / distance to ground in meters */
-	uint8_t	quality;		/**< Quality of the measurement, 0: bad quality, 255: maximum quality */
-	uint8_t sensor_id;		/**< id of the sensor emitting the flow value */
-
-};
-
-/**
- * @}
- */
-
-/* register this as object request broker structure */
-ORB_DECLARE(optical_flow);
-
-#endif
diff --git a/apps/uORB/topics/parameter_update.h b/apps/uORB/topics/parameter_update.h
deleted file mode 100644
index 300e895c7..000000000
--- a/apps/uORB/topics/parameter_update.h
+++ /dev/null
@@ -1,52 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file parameter_update.h
- * Notification about a parameter update.
- */
-
-#ifndef TOPIC_PARAMETER_UPDATE_H
-#define TOPIC_PARAMETER_UPDATE_H
-
-#include 
-#include "../uORB.h"
-
-struct parameter_update_s {
-	/** time at which the latest parameter was updated */
-	uint64_t	timestamp;
-};
-
-ORB_DECLARE(parameter_update);
-
-#endif
\ No newline at end of file
diff --git a/apps/uORB/topics/rc_channels.h b/apps/uORB/topics/rc_channels.h
deleted file mode 100644
index 9dd54df91..000000000
--- a/apps/uORB/topics/rc_channels.h
+++ /dev/null
@@ -1,108 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2008-2012 PX4 Development Team. All rights reserved.
- *   Author: @author Nils Wenzler 
- *           @author Ivan Ovinnikov 
- *           @author Lorenz Meier 
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file rc_channels.h
- * Definition of the rc_channels uORB topic.
- */
-
-#ifndef RC_CHANNELS_H_
-#define RC_CHANNELS_H_
-
-#include 
-#include "../uORB.h"
-
-/**
- * @addtogroup topics
- * @{
- */
-
-/**
- * The number of RC channel inputs supported.
- * Current (Q1/2013) radios support up to 18 channels,
- * leaving at a sane value of 14.
- */
-#define RC_CHANNELS_MAX   14
-
-/** 
- * This defines the mapping of the RC functions.
- * The value assigned to the specific function corresponds to the entry of
- * the channel array chan[].
- */
-enum RC_CHANNELS_FUNCTION
-{
-  THROTTLE = 0,
-  ROLL     = 1,
-  PITCH    = 2,
-  YAW      = 3,
-  OVERRIDE = 4,
-  AUTO_MODE = 5,
-  MANUAL_MODE = 6,
-  SAS_MODE = 7,
-  RTL = 8,
-  OFFBOARD_MODE = 9,
-  FLAPS   = 10,
-  AUX_1   = 11,
-  AUX_2   = 12,
-  AUX_3   = 13,
-  AUX_4   = 14,
-  AUX_5   = 15,
-  RC_CHANNELS_FUNCTION_MAX /**< indicates the number of functions. There can be more functions than RC channels. */
-};
-
-struct rc_channels_s {
-
-	uint64_t timestamp;                 /**< In microseconds since boot time. */
-  uint64_t timestamp_last_valid;      /**< timestamp of last valid RC signal. */
-  struct {
-    float scaled;                     /**< Scaled to -1..1 (throttle: 0..1) */
-  } chan[RC_CHANNELS_MAX];
-  uint8_t chan_count;                 /**< number of valid channels */
-
-  /*String array to store the names of the functions*/
-  char function_name[RC_CHANNELS_FUNCTION_MAX][20];
-  int8_t function[RC_CHANNELS_FUNCTION_MAX];
-  uint8_t rssi;                       /**< Overall receive signal strength */
-}; /**< radio control channels. */
-
-/**
- * @}
- */
-
-/* register this as object request broker structure */
-ORB_DECLARE(rc_channels);
-
-#endif
diff --git a/apps/uORB/topics/sensor_combined.h b/apps/uORB/topics/sensor_combined.h
deleted file mode 100644
index 961ee8b4a..000000000
--- a/apps/uORB/topics/sensor_combined.h
+++ /dev/null
@@ -1,115 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2008-2012 PX4 Development Team. All rights reserved.
- *   Author: @author Thomas Gubler 
- *           @author Julian Oes 
- *           @author Lorenz Meier 
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file sensor_combined.h
- * Definition of the sensor_combined uORB topic.
- */
-
-#ifndef SENSOR_COMBINED_H_
-#define SENSOR_COMBINED_H_
-
-#include 
-#include 
-#include "../uORB.h"
-
-/**
- * @addtogroup topics
- * @{
- */
-
-enum MAGNETOMETER_MODE {
-	MAGNETOMETER_MODE_NORMAL = 0,
-	MAGNETOMETER_MODE_POSITIVE_BIAS,
-	MAGNETOMETER_MODE_NEGATIVE_BIAS
-};
-
-/**
- * Sensor readings in raw and SI-unit form.
- *
- * These values are read from the sensors. Raw values are in sensor-specific units,
- * the scaled values are in SI-units, as visible from the ending of the variable
- * or the comments. The use of the SI fields is in general advised, as these fields
- * are scaled and offset-compensated where possible and do not change with board
- * revisions and sensor updates.
- *
- */
-struct sensor_combined_s {
-
-	/*
-	 * Actual data, this is specific to the type of data which is stored in this struct
-	 * A line containing L0GME will be added by the Python logging code generator to the
-	 * logged dataset.
-	 */
-
-	/* NOTE: Ordering of fields optimized to align to 32 bit / 4 bytes Change with consideration only   */
-
-	uint64_t timestamp;			/**< Timestamp in microseconds since boot         */
-
-	int16_t	gyro_raw[3];			/**< Raw sensor values of angular velocity        */
-	uint16_t gyro_counter;			/**< Number of raw measurments taken              */
-	float gyro_rad_s[3];			/**< Angular velocity in radian per seconds       */
-	
-	int16_t accelerometer_raw[3];		/**< Raw acceleration in NED body frame           */
-	uint32_t accelerometer_counter;		/**< Number of raw acc measurements taken         */
-	float accelerometer_m_s2[3];		/**< Acceleration in NED body frame, in m/s^2     */
-	int accelerometer_mode;			/**< Accelerometer measurement mode */
-	float accelerometer_range_m_s2;		/**< Accelerometer measurement range in m/s^2 */
-
-	int16_t	magnetometer_raw[3];		/**< Raw magnetic field in NED body frame         */
-	float magnetometer_ga[3];		/**< Magnetic field in NED body frame, in Gauss   */
-	int magnetometer_mode;			/**< Magnetometer measurement mode */
-	float magnetometer_range_ga;		/**< ± measurement range in Gauss */
-	float magnetometer_cuttoff_freq_hz;	/**< Internal analog low pass frequency of sensor */
-	uint32_t magnetometer_counter;		/**< Number of raw mag measurements taken         */
-	
-	float baro_pres_mbar;			/**< Barometric pressure, already temp. comp.     */
-	float baro_alt_meter;			/**< Altitude, already temp. comp.                */
-	float baro_temp_celcius;		/**< Temperature in degrees celsius               */
-	float adc_voltage_v[4];			/**< ADC voltages of ADC Chan 10/11/12/13 or -1      */
-	float mcu_temp_celcius;			/**< Internal temperature measurement of MCU */
-	uint32_t baro_counter;			/**< Number of raw baro measurements taken        */
-
-};
-
-/**
- * @}
- */
-
-/* register this as object request broker structure */
-ORB_DECLARE(sensor_combined);
-
-#endif
diff --git a/apps/uORB/topics/subsystem_info.h b/apps/uORB/topics/subsystem_info.h
deleted file mode 100644
index c415e832e..000000000
--- a/apps/uORB/topics/subsystem_info.h
+++ /dev/null
@@ -1,97 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *   Author: Lorenz Meier 
- *           Thomas Gubler 
- *           Julian Oes 
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file subsystem_info.h
- * Definition of the subsystem info topic.
- *
- * @author Lorenz Meier 
- * @author Thomas Gubler 
- * @author Julian Oes 
- */
-
-#ifndef TOPIC_SUBSYSTEM_INFO_H_
-#define TOPIC_SUBSYSTEM_INFO_H_
-
-#include 
-#include 
-#include "../uORB.h"
-
-/**
- * @addtogroup topics
- */
-
-enum SUBSYSTEM_TYPE
-{
-	SUBSYSTEM_TYPE_GYRO = 1,
-	SUBSYSTEM_TYPE_ACC = 2,
-	SUBSYSTEM_TYPE_MAG = 4,
-	SUBSYSTEM_TYPE_ABSPRESSURE = 8,
-	SUBSYSTEM_TYPE_DIFFPRESSURE = 16,
-	SUBSYSTEM_TYPE_GPS = 32,
-	SUBSYSTEM_TYPE_OPTICALFLOW = 64,
-	SUBSYSTEM_TYPE_CVPOSITION = 128,
-	SUBSYSTEM_TYPE_LASERPOSITION = 256,
-	SUBSYSTEM_TYPE_EXTERNALGROUNDTRUTH = 512,
-	SUBSYSTEM_TYPE_ANGULARRATECONTROL = 1024,
-	SUBSYSTEM_TYPE_ATTITUDESTABILIZATION = 2048,
-	SUBSYSTEM_TYPE_YAWPOSITION = 4096,
-	SUBSYSTEM_TYPE_ALTITUDECONTROL = 16384,
-	SUBSYSTEM_TYPE_POSITIONCONTROL = 32768,
-	SUBSYSTEM_TYPE_MOTORCONTROL = 65536,
-	SUBSYSTEM_TYPE_RANGEFINDER = 131072
-};
-
-/**
- * State of individual sub systems
- */
-struct subsystem_info_s {
-	bool present;
-	bool enabled;
-	bool ok;
-
-	enum SUBSYSTEM_TYPE subsystem_type;
-};
-
-/**
- * @}
- */
-
-/* register this as object request broker structure */
-ORB_DECLARE(subsystem_info);
-
-#endif /* TOPIC_SUBSYSTEM_INFO_H_ */
-
diff --git a/apps/uORB/topics/vehicle_attitude.h b/apps/uORB/topics/vehicle_attitude.h
deleted file mode 100755
index c31c81d0c..000000000
--- a/apps/uORB/topics/vehicle_attitude.h
+++ /dev/null
@@ -1,90 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2008-2012 PX4 Development Team. All rights reserved.
- *   Author: @author Thomas Gubler 
- *           @author Julian Oes 
- *           @author Lorenz Meier 
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file vehicle_attitude.h
- * Definition of the attitude uORB topic.
- */
-
-#ifndef VEHICLE_ATTITUDE_H_
-#define VEHICLE_ATTITUDE_H_
-
-#include 
-#include 
-#include "../uORB.h"
-
-/**
- * @addtogroup topics
- */
-
-/**
- * Attitude in NED body frame in SI units.
- *
- * @see http://en.wikipedia.org/wiki/International_System_of_Units
- */
-struct vehicle_attitude_s {
-
-	uint64_t timestamp;	/**< in microseconds since system start          */
-
-	/* This is similar to the mavlink message ATTITUDE, but for onboard use */
-
-	/** @warning roll, pitch and yaw have always to be valid, the rotation matrix and quaternion are optional */
-
-	float roll;		/**< Roll angle (rad, Tait-Bryan, NED)				*/
-	float pitch;		/**< Pitch angle (rad, Tait-Bryan, NED)				*/
-	float yaw;		/**< Yaw angle (rad, Tait-Bryan, NED)				*/
-	float rollspeed;	/**< Roll angular speed (rad/s, Tait-Bryan, NED)		*/
-	float pitchspeed;	/**< Pitch angular speed (rad/s, Tait-Bryan, NED)		*/
-	float yawspeed;		/**< Yaw angular speed (rad/s, Tait-Bryan, NED)			*/
-	float rollacc;		/**< Roll angular accelration (rad/s, Tait-Bryan, NED)		*/
-	float pitchacc;		/**< Pitch angular acceleration (rad/s, Tait-Bryan, NED)	*/
-	float yawacc;		/**< Yaw angular acceleration (rad/s, Tait-Bryan, NED)		*/
-	float rate_offsets[3];	/**< Offsets of the body angular rates from zero		*/
-	float R[3][3];		/**< Rotation matrix body to world, (Tait-Bryan, NED)		*/
-	float q[4];		/**< Quaternion (NED)						*/
-	bool R_valid;		/**< Rotation matrix valid					*/
-	bool q_valid;		/**< Quaternion valid						*/
-
-};
-
-/**
- * @}
- */
-
-/* register this as object request broker structure */
-ORB_DECLARE(vehicle_attitude);
-
-#endif
diff --git a/apps/uORB/topics/vehicle_attitude_setpoint.h b/apps/uORB/topics/vehicle_attitude_setpoint.h
deleted file mode 100644
index a7cda34a8..000000000
--- a/apps/uORB/topics/vehicle_attitude_setpoint.h
+++ /dev/null
@@ -1,78 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *   Author: @author Lorenz Meier 
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file vehicle_attitude_setpoint.h
- * Definition of the vehicle attitude setpoint uORB topic.
- */
-
-#ifndef TOPIC_VEHICLE_ATTITUDE_SETPOINT_H_
-#define TOPIC_VEHICLE_ATTITUDE_SETPOINT_H_
-
-#include 
-#include 
-#include "../uORB.h"
-
-/**
- * @addtogroup topics
- * @{
- */
-
-/**
- * vehicle attitude setpoint.
- */
-struct vehicle_attitude_setpoint_s
-{
-	uint64_t timestamp;		/**< in microseconds since system start, is set whenever the writing thread stores new data */
-
-	float roll_body;				/**< body angle in NED frame		*/
-	float pitch_body;				/**< body angle in NED frame		*/
-	float yaw_body;					/**< body angle in NED frame		*/
-	//float body_valid;				/**< Set to true if body angles are valid */
-
-	float R_body[9];				/**< Rotation matrix describing the setpoint as rotation from the current body frame */
-	bool R_valid;					/**< Set to true if rotation matrix is valid */
-
-	float thrust;					/**< Thrust in Newton the power system should generate */
-
-};
-
-/**
- * @}
- */
-
-/* register this as object request broker structure */
-ORB_DECLARE(vehicle_attitude_setpoint);
-
-#endif /* TOPIC_ARDRONE_CONTROL_H_ */
diff --git a/apps/uORB/topics/vehicle_command.h b/apps/uORB/topics/vehicle_command.h
deleted file mode 100644
index fac571659..000000000
--- a/apps/uORB/topics/vehicle_command.h
+++ /dev/null
@@ -1,140 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2008-2012 PX4 Development Team. All rights reserved.
- *   Author: @author Thomas Gubler 
- *           @author Julian Oes 
- *           @author Lorenz Meier 
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file vehicle_command.h
- * Definition of the vehicle command uORB topic.
- */
-
-#ifndef TOPIC_VEHICLE_COMMAND_H_
-#define TOPIC_VEHICLE_COMMAND_H_
-
-#include 
-#include "../uORB.h"
-
-/**
- * @addtogroup topics
- * @{
- */
-
-/**
- * Commands for commander app.
- *
- * Should contain all commands from MAVLink's VEHICLE_CMD ENUM,
- * but can contain additional ones.
- */
-enum VEHICLE_CMD
-{
-	VEHICLE_CMD_NAV_WAYPOINT=16, /* Navigate to MISSION. |Hold time in decimal seconds. (ignored by fixed wing, time to stay at MISSION for rotary wing)| Acceptance radius in meters (if the sphere with this radius is hit, the MISSION counts as reached)| 0 to pass through the WP, if > 0 radius in meters to pass by WP. Positive value for clockwise orbit, negative value for counter-clockwise orbit. Allows trajectory control.| Desired yaw angle at MISSION (rotary wing)| Latitude| Longitude| Altitude|  */
-	VEHICLE_CMD_NAV_LOITER_UNLIM=17, /* Loiter around this MISSION an unlimited amount of time |Empty| Empty| Radius around MISSION, in meters. If positive loiter clockwise, else counter-clockwise| Desired yaw angle.| Latitude| Longitude| Altitude|  */
-	VEHICLE_CMD_NAV_LOITER_TURNS=18, /* Loiter around this MISSION for X turns |Turns| Empty| Radius around MISSION, in meters. If positive loiter clockwise, else counter-clockwise| Desired yaw angle.| Latitude| Longitude| Altitude|  */
-	VEHICLE_CMD_NAV_LOITER_TIME=19, /* Loiter around this MISSION for X seconds |Seconds (decimal)| Empty| Radius around MISSION, in meters. If positive loiter clockwise, else counter-clockwise| Desired yaw angle.| Latitude| Longitude| Altitude|  */
-	VEHICLE_CMD_NAV_RETURN_TO_LAUNCH=20, /* Return to launch location |Empty| Empty| Empty| Empty| Empty| Empty| Empty|  */
-	VEHICLE_CMD_NAV_LAND=21, /* Land at location |Empty| Empty| Empty| Desired yaw angle.| Latitude| Longitude| Altitude|  */
-	VEHICLE_CMD_NAV_TAKEOFF=22, /* Takeoff from ground / hand |Minimum pitch (if airspeed sensor present), desired pitch without sensor| Empty| Empty| Yaw angle (if magnetometer present), ignored without magnetometer| Latitude| Longitude| Altitude|  */
-	VEHICLE_CMD_NAV_ROI=80, /* Sets the region of interest (ROI) for a sensor set or the vehicle itself. This can then be used by the vehicles control system to control the vehicle attitude and the attitude of various sensors such as cameras. |Region of intereset mode. (see MAV_ROI enum)| MISSION index/ target ID. (see MAV_ROI enum)| ROI index (allows a vehicle to manage multiple ROI's)| Empty| x the location of the fixed ROI (see MAV_FRAME)| y| z|  */
-	VEHICLE_CMD_NAV_PATHPLANNING=81, /* Control autonomous path planning on the MAV. |0: Disable local obstacle avoidance / local path planning (without resetting map), 1: Enable local path planning, 2: Enable and reset local path planning| 0: Disable full path planning (without resetting map), 1: Enable, 2: Enable and reset map/occupancy grid, 3: Enable and reset planned route, but not occupancy grid| Empty| Yaw angle at goal, in compass degrees, [0..360]| Latitude/X of goal| Longitude/Y of goal| Altitude/Z of goal|  */
-	VEHICLE_CMD_NAV_LAST=95, /* NOP - This command is only used to mark the upper limit of the NAV/ACTION commands in the enumeration |Empty| Empty| Empty| Empty| Empty| Empty| Empty|  */
-	VEHICLE_CMD_CONDITION_DELAY=112, /* Delay mission state machine. |Delay in seconds (decimal)| Empty| Empty| Empty| Empty| Empty| Empty|  */
-	VEHICLE_CMD_CONDITION_CHANGE_ALT=113, /* Ascend/descend at rate.  Delay mission state machine until desired altitude reached. |Descent / Ascend rate (m/s)| Empty| Empty| Empty| Empty| Empty| Finish Altitude|  */
-	VEHICLE_CMD_CONDITION_DISTANCE=114, /* Delay mission state machine until within desired distance of next NAV point. |Distance (meters)| Empty| Empty| Empty| Empty| Empty| Empty|  */
-	VEHICLE_CMD_CONDITION_YAW=115, /* Reach a certain target angle. |target angle: [0-360], 0 is north| speed during yaw change:[deg per second]| direction: negative: counter clockwise, positive: clockwise [-1,1]| relative offset or absolute angle: [ 1,0]| Empty| Empty| Empty|  */
-	VEHICLE_CMD_CONDITION_LAST=159, /* NOP - This command is only used to mark the upper limit of the CONDITION commands in the enumeration |Empty| Empty| Empty| Empty| Empty| Empty| Empty|  */
-	VEHICLE_CMD_DO_SET_MODE=176, /* Set system mode. |Mode, as defined by ENUM MAV_MODE| Empty| Empty| Empty| Empty| Empty| Empty|  */
-	VEHICLE_CMD_DO_JUMP=177, /* Jump to the desired command in the mission list.  Repeat this action only the specified number of times |Sequence number| Repeat count| Empty| Empty| Empty| Empty| Empty|  */
-	VEHICLE_CMD_DO_CHANGE_SPEED=178, /* Change speed and/or throttle set points. |Speed type (0=Airspeed, 1=Ground Speed)| Speed  (m/s, -1 indicates no change)| Throttle  ( Percent, -1 indicates no change)| Empty| Empty| Empty| Empty|  */
-	VEHICLE_CMD_DO_SET_HOME=179, /* Changes the home location either to the current location or a specified location. |Use current (1=use current location, 0=use specified location)| Empty| Empty| Empty| Latitude| Longitude| Altitude|  */
-	VEHICLE_CMD_DO_SET_PARAMETER=180, /* Set a system parameter.  Caution!  Use of this command requires knowledge of the numeric enumeration value of the parameter. |Parameter number| Parameter value| Empty| Empty| Empty| Empty| Empty|  */
-	VEHICLE_CMD_DO_SET_RELAY=181, /* Set a relay to a condition. |Relay number| Setting (1=on, 0=off, others possible depending on system hardware)| Empty| Empty| Empty| Empty| Empty|  */
-	VEHICLE_CMD_DO_REPEAT_RELAY=182, /* Cycle a relay on and off for a desired number of cyles with a desired period. |Relay number| Cycle count| Cycle time (seconds, decimal)| Empty| Empty| Empty| Empty|  */
-	VEHICLE_CMD_DO_SET_SERVO=183, /* Set a servo to a desired PWM value. |Servo number| PWM (microseconds, 1000 to 2000 typical)| Empty| Empty| Empty| Empty| Empty|  */
-	VEHICLE_CMD_DO_REPEAT_SERVO=184, /* Cycle a between its nominal setting and a desired PWM for a desired number of cycles with a desired period. |Servo number| PWM (microseconds, 1000 to 2000 typical)| Cycle count| Cycle time (seconds)| Empty| Empty| Empty|  */
-	VEHICLE_CMD_DO_CONTROL_VIDEO=200, /* Control onboard camera system. |Camera ID (-1 for all)| Transmission: 0: disabled, 1: enabled compressed, 2: enabled raw| Transmission mode: 0: video stream, >0: single images every n seconds (decimal)| Recording: 0: disabled, 1: enabled compressed, 2: enabled raw| Empty| Empty| Empty|  */
-	VEHICLE_CMD_DO_LAST=240, /* NOP - This command is only used to mark the upper limit of the DO commands in the enumeration |Empty| Empty| Empty| Empty| Empty| Empty| Empty|  */
-	VEHICLE_CMD_PREFLIGHT_CALIBRATION=241, /* Trigger calibration. This command will be only accepted if in pre-flight mode. |Gyro calibration: 0: no, 1: yes| Magnetometer calibration: 0: no, 1: yes| Ground pressure: 0: no, 1: yes| Radio calibration: 0: no, 1: yes| Accelerometer calibration: 0: no, 1: yes| Empty| Empty|  */
-	VEHICLE_CMD_PREFLIGHT_SET_SENSOR_OFFSETS=242, /* Set sensor offsets. This command will be only accepted if in pre-flight mode. |Sensor to adjust the offsets for: 0: gyros, 1: accelerometer, 2: magnetometer, 3: barometer, 4: optical flow| X axis offset (or generic dimension 1), in the sensor's raw units| Y axis offset (or generic dimension 2), in the sensor's raw units| Z axis offset (or generic dimension 3), in the sensor's raw units| Generic dimension 4, in the sensor's raw units| Generic dimension 5, in the sensor's raw units| Generic dimension 6, in the sensor's raw units|  */
-	VEHICLE_CMD_PREFLIGHT_STORAGE=245, /* Request storage of different parameter values and logs. This command will be only accepted if in pre-flight mode. |Parameter storage: 0: READ FROM FLASH/EEPROM, 1: WRITE CURRENT TO FLASH/EEPROM| Mission storage: 0: READ FROM FLASH/EEPROM, 1: WRITE CURRENT TO FLASH/EEPROM| Reserved| Reserved| Empty| Empty| Empty|  */
-	VEHICLE_CMD_PREFLIGHT_REBOOT_SHUTDOWN=246, /* Request the reboot or shutdown of system components. |0: Do nothing for autopilot, 1: Reboot autopilot, 2: Shutdown autopilot.| 0: Do nothing for onboard computer, 1: Reboot onboard computer, 2: Shutdown onboard computer.| Reserved| Reserved| Empty| Empty| Empty|  */
-	VEHICLE_CMD_OVERRIDE_GOTO=252, /* Hold / continue the current action |MAV_GOTO_DO_HOLD: hold MAV_GOTO_DO_CONTINUE: continue with next item in mission plan| MAV_GOTO_HOLD_AT_CURRENT_POSITION: Hold at current position MAV_GOTO_HOLD_AT_SPECIFIED_POSITION: hold at specified position| MAV_FRAME coordinate frame of hold point| Desired yaw angle in degrees| Latitude / X position| Longitude / Y position| Altitude / Z position|  */
-	VEHICLE_CMD_MISSION_START=300, /* start running a mission |first_item: the first mission item to run| last_item:  the last mission item to run (after this item is run, the mission ends)|  */
-	VEHICLE_CMD_COMPONENT_ARM_DISARM=400, /* Arms / Disarms a component |1 to arm, 0 to disarm|  */
-	VEHICLE_CMD_ENUM_END=401, /*  | */
-};
-
-/**
- * Commands for commander app.
- *
- * Should contain all of MAVLink's VEHICLE_CMD_RESULT values
- * but can contain additional ones.
- */
-enum VEHICLE_CMD_RESULT
-{
-	VEHICLE_CMD_RESULT_ACCEPTED=0, /* Command ACCEPTED and EXECUTED | */
-	VEHICLE_CMD_RESULT_TEMPORARILY_REJECTED=1, /* Command TEMPORARY REJECTED/DENIED | */
-	VEHICLE_CMD_RESULT_DENIED=2, /* Command PERMANENTLY DENIED | */
-	VEHICLE_CMD_RESULT_UNSUPPORTED=3, /* Command UNKNOWN/UNSUPPORTED | */
-	VEHICLE_CMD_RESULT_FAILED=4, /* Command executed, but failed | */
-	VEHICLE_CMD_RESULT_ENUM_END=5, /*  | */
-};
-
-
-struct vehicle_command_s
-{
-	float param1;			/**< Parameter 1, as defined by MAVLink VEHICLE_CMD enum.   */
-	float param2;			/**< Parameter 2, as defined by MAVLink VEHICLE_CMD enum.   */
-	float param3;			/**< Parameter 3, as defined by MAVLink VEHICLE_CMD enum.   */
-	float param4;			/**< Parameter 4, as defined by MAVLink VEHICLE_CMD enum.   */
-	float param5;			/**< Parameter 5, as defined by MAVLink VEHICLE_CMD enum.   */
-	float param6;			/**< Parameter 6, as defined by MAVLink VEHICLE_CMD enum.   */
-	float param7;			/**< Parameter 7, as defined by MAVLink VEHICLE_CMD enum.   */
-	uint16_t command;		/**< Command ID, as defined MAVLink by VEHICLE_CMD enum.   */
-	uint8_t target_system;		/**< System which should execute the command  */
-	uint8_t target_component;	/**< Component which should execute the command, 0 for all components  */
-	uint8_t source_system;		/**< System sending the command  */
-	uint8_t source_component;	/**< Component sending the command  */
-	uint8_t confirmation;		/**< 0: First transmission of this command. 1-255: Confirmation transmissions (e.g. for kill command) */
-}; /**< command sent to vehicle */
-
-/**
- * @}
- */
-
-/* register this as object request broker structure */
-ORB_DECLARE(vehicle_command);
-
-
-
-#endif
diff --git a/apps/uORB/topics/vehicle_global_position.h b/apps/uORB/topics/vehicle_global_position.h
deleted file mode 100644
index f036c7223..000000000
--- a/apps/uORB/topics/vehicle_global_position.h
+++ /dev/null
@@ -1,86 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *   Author: @author Thomas Gubler 
- *           @author Julian Oes 
- *           @author Lorenz Meier 
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file vehicle_global_position.h
- * Definition of the global fused WGS84 position uORB topic.
- */
-
-#ifndef VEHICLE_GLOBAL_POSITION_T_H_
-#define VEHICLE_GLOBAL_POSITION_T_H_
-
-#include 
-#include 
-#include "../uORB.h"
-
-/**
- * @addtogroup topics
- * @{
- */
-
- /**
- * Fused global position in WGS84.
- *
- * This struct contains the system's believ about its position. It is not the raw GPS
- * measurement (@see vehicle_gps_position). This topic is usually published by the position
- * estimator, which will take more sources of information into account than just GPS,
- * e.g. control inputs of the vehicle in a Kalman-filter implementation.
- */
-struct vehicle_global_position_s
-{
-	uint64_t timestamp;		/**< time of this estimate, in microseconds since system start */
-	uint64_t time_gps_usec; /**< GPS timestamp in microseconds							  */
-	bool valid;				/**< true if position satisfies validity criteria of estimator */
-
-	int32_t lat;			/**< Latitude in 1E7 degrees							LOGME */
-	int32_t lon;			/**< Longitude in 1E7 degrees							LOGME */
-	float alt;				/**< Altitude in meters									LOGME */
-	float relative_alt;		/**< Altitude above home position in meters, 			LOGME */
-	float vx; 				/**< Ground X Speed (Latitude), m/s in ENU				LOGME */
-	float vy;				/**< Ground Y Speed (Longitude), m/s in ENU				LOGME */
-	float vz;				/**< Ground Z Speed (Altitude), m/s	in ENU				LOGME */
-	float hdg; 				/**< Compass heading in radians -PI..+PI.					  */
-
-};
-
-/**
- * @}
- */
-
-/* register this as object request broker structure */
-ORB_DECLARE(vehicle_global_position);
-
-#endif
diff --git a/apps/uORB/topics/vehicle_global_position_set_triplet.h b/apps/uORB/topics/vehicle_global_position_set_triplet.h
deleted file mode 100644
index 318abba89..000000000
--- a/apps/uORB/topics/vehicle_global_position_set_triplet.h
+++ /dev/null
@@ -1,78 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *   Author: @author Thomas Gubler 
- *           @author Julian Oes 
- *           @author Lorenz Meier 
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file vehicle_global_position_setpoint.h
- * Definition of the global WGS84 position setpoint uORB topic.
- */
-
-#ifndef TOPIC_VEHICLE_GLOBAL_POSITION_SET_TRIPLET_H_
-#define TOPIC_VEHICLE_GLOBAL_POSITION_SET_TRIPLET_H_
-
-#include 
-#include 
-#include "../uORB.h"
-
-#include "vehicle_global_position_setpoint.h"
-
-/**
- * @addtogroup topics
- * @{
- */
-
-/**
- * Global position setpoint triplet in WGS84 coordinates.
- *
- * This are the three next waypoints (or just the next two or one).
- */
-struct vehicle_global_position_set_triplet_s
-{
-	bool previous_valid;
-	bool next_valid;
-
-	struct vehicle_global_position_setpoint_s previous;
-	struct vehicle_global_position_setpoint_s current;
-	struct vehicle_global_position_setpoint_s next;
-};
-
-/**
- * @}
- */
-
-/* register this as object request broker structure */
-ORB_DECLARE(vehicle_global_position_set_triplet);
-
-#endif
diff --git a/apps/uORB/topics/vehicle_global_position_setpoint.h b/apps/uORB/topics/vehicle_global_position_setpoint.h
deleted file mode 100644
index eec6a8229..000000000
--- a/apps/uORB/topics/vehicle_global_position_setpoint.h
+++ /dev/null
@@ -1,78 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *   Author: @author Thomas Gubler 
- *           @author Julian Oes 
- *           @author Lorenz Meier 
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file vehicle_global_position_setpoint.h
- * Definition of the global WGS84 position setpoint uORB topic.
- */
-
-#ifndef TOPIC_VEHICLE_GLOBAL_POSITION_SETPOINT_H_
-#define TOPIC_VEHICLE_GLOBAL_POSITION_SETPOINT_H_
-
-#include 
-#include 
-#include "../uORB.h"
-
-/**
- * @addtogroup topics
- * @{
- */
-
-/**
- * Global position setpoint in WGS84 coordinates.
- *
- * This is the position the MAV is heading towards. If it of type loiter,
- * the MAV is circling around it with the given loiter radius in meters.
- */
-struct vehicle_global_position_setpoint_s
-{
-	bool altitude_is_relative;	/**< true if altitude is relative from start point	*/
-	int32_t lat;			/**< latitude in degrees * 1E7				*/
-	int32_t lon;			/**< longitude in degrees * 1E7				*/
-	float altitude;			/**< altitude in meters					*/
-	float yaw;			/**< in radians NED -PI..+PI 				*/
-	float loiter_radius;		/**< loiter radius in meters, 0 for a VTOL to hover     */
-	bool is_loiter;			/**< true if loitering is enabled			*/
-};
-
-/**
- * @}
- */
-
-/* register this as object request broker structure */
-ORB_DECLARE(vehicle_global_position_setpoint);
-
-#endif
diff --git a/apps/uORB/topics/vehicle_gps_position.h b/apps/uORB/topics/vehicle_gps_position.h
deleted file mode 100644
index 0a7fb4e9d..000000000
--- a/apps/uORB/topics/vehicle_gps_position.h
+++ /dev/null
@@ -1,100 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *   Author: @author Thomas Gubler 
- *           @author Julian Oes 
- *           @author Lorenz Meier 
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file vehicle_gps_position.h
- * Definition of the GPS WGS84 uORB topic.
- */
-
-#ifndef TOPIC_VEHICLE_GPS_H_
-#define TOPIC_VEHICLE_GPS_H_
-
-#include 
-#include "../uORB.h"
-
-/**
- * @addtogroup topics
- * @{
- */
-
-/**
- * GPS position in WGS84 coordinates.
- */
-struct vehicle_gps_position_s
-{
-	uint64_t timestamp_position;			/**< Timestamp for position information */
-	int32_t lat;					/**< Latitude in 1E7 degrees */
-	int32_t lon;					/**< Longitude in 1E7 degrees */
-	int32_t alt;					/**< Altitude in 1E3 meters (millimeters) above MSL  */
-	
-	uint64_t timestamp_variance;
-	float s_variance_m_s;				/**< speed accuracy estimate m/s */
-	float p_variance_m;				/**< position accuracy estimate m */
-	float c_variance_rad;				/**< course accuracy estimate rad */
-	uint8_t fix_type; 				/**< 0-1: no fix, 2: 2D fix, 3: 3D fix. Some applications will not use the value of this field unless it is at least two, so always correctly fill in the fix.   */
-
-	float eph_m;					/**< GPS HDOP horizontal dilution of position in m */
-	float epv_m;					/**< GPS VDOP horizontal dilution of position in m */
-
-	uint64_t timestamp_velocity;			/**< Timestamp for velocity informations */
-	float vel_m_s;					/**< GPS ground speed (m/s) */
-	float vel_n_m_s;				/**< GPS ground speed in m/s */
-	float vel_e_m_s;				/**< GPS ground speed in m/s */
-	float vel_d_m_s;				/**< GPS ground speed in m/s */
-	float cog_rad;					/**< Course over ground (NOT heading, but direction of movement) in rad, -PI..PI */
-	bool vel_ned_valid;				/**< Flag to indicate if NED speed is valid */
-
-	uint64_t timestamp_time;			/**< Timestamp for time information */
-	uint64_t time_gps_usec;				/**< Timestamp (microseconds in GPS format), this is the timestamp which comes from the gps module   */
-
-	uint64_t timestamp_satellites;			/**< Timestamp for sattelite information */
-	uint8_t satellites_visible;			/**< Number of satellites visible. If unknown, set to 255 */
-	uint8_t satellite_prn[20]; 			/**< Global satellite ID */
-	uint8_t satellite_used[20];			/**< 0: Satellite not used, 1: used for localization */
-	uint8_t satellite_elevation[20]; 		/**< Elevation (0: right on top of receiver, 90: on the horizon) of satellite */
-	uint8_t satellite_azimuth[20];			/**< Direction of satellite, 0: 0 deg, 255: 360 deg. */
-	uint8_t satellite_snr[20];			/**< Signal to noise ratio of satellite   */
-	bool satellite_info_available;			/**< 0 for no info, 1 for info available */
-};
-
-/**
- * @}
- */
-
-/* register this as object request broker structure */
-ORB_DECLARE(vehicle_gps_position);
-
-#endif
diff --git a/apps/uORB/topics/vehicle_local_position.h b/apps/uORB/topics/vehicle_local_position.h
deleted file mode 100644
index 76eddeacd..000000000
--- a/apps/uORB/topics/vehicle_local_position.h
+++ /dev/null
@@ -1,87 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *   Author: @author Lorenz Meier 
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file vehicle_local_position.h
- * Definition of the local fused NED position uORB topic.
- */
-
-#ifndef TOPIC_VEHICLE_LOCAL_POSITION_H_
-#define TOPIC_VEHICLE_LOCAL_POSITION_H_
-
-#include 
-#include 
-#include "../uORB.h"
-
-/**
- * @addtogroup topics
- * @{
- */
-
-/**
- * Fused local position in NED.
- */
-struct vehicle_local_position_s
-{
-	uint64_t timestamp;			/**< time of this estimate, in microseconds since system start */
-	bool valid;				/**< true if position satisfies validity criteria of estimator */
-
-	float x;				/**< X positin in meters in NED earth-fixed frame */
-	float y;				/**< X positin in meters in NED earth-fixed frame */
-	float z;				/**< Z positin in meters in NED earth-fixed frame (negative altitude) */
-	float absolute_alt;			/**< Altitude as defined by pressure / GPS, 			LOGME */
-	float vx; 				/**< Ground X Speed (Latitude), m/s in NED				LOGME */
-	float vy;				/**< Ground Y Speed (Longitude), m/s in NED				LOGME */
-	float vz;				/**< Ground Z Speed (Altitude), m/s	in NED				LOGME */
-	float hdg; 				/**< Compass heading in radians -PI..+PI.					  */
-
-	// TODO Add covariances here
-
-	/* Reference position in GPS / WGS84 frame */
-	uint64_t home_timestamp;/**< Time when home position was set						  */
-	int32_t home_lat;		/**< Latitude in 1E7 degrees							LOGME */
-	int32_t home_lon;		/**< Longitude in 1E7 degrees							LOGME */
-	float home_alt;			/**< Altitude in meters									LOGME */
-	float home_hdg; 		/**< Compass heading in radians -PI..+PI.					  */
-
-};
-
-/**
- * @}
- */
-
-/* register this as object request broker structure */
-ORB_DECLARE(vehicle_local_position);
-
-#endif
diff --git a/apps/uORB/topics/vehicle_local_position_setpoint.h b/apps/uORB/topics/vehicle_local_position_setpoint.h
deleted file mode 100644
index d24d81e3a..000000000
--- a/apps/uORB/topics/vehicle_local_position_setpoint.h
+++ /dev/null
@@ -1,67 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *   Author: @author Thomas Gubler 
- *           @author Julian Oes 
- *           @author Lorenz Meier 
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file vehicle_local_position_setpoint.h
- * Definition of the local NED position setpoint uORB topic.
- */
-
-#ifndef TOPIC_VEHICLE_LOCAL_POSITION_SETPOINT_H_
-#define TOPIC_VEHICLE_LOCAL_POSITION_SETPOINT_H_
-
-#include "../uORB.h"
-
-/**
- * @addtogroup topics
- * @{
- */
-
-struct vehicle_local_position_setpoint_s
-{
-	float x;		/**< in meters NED			  		*/
-	float y;		/**< in meters NED			  		*/
-	float z;		/**< in meters NED			  		*/
-	float yaw;		/**< in radians NED -PI..+PI  		*/
-}; /**< Local position in NED frame to go to */
-
-/**
- * @}
- */
-
-/* register this as object request broker structure */
-ORB_DECLARE(vehicle_local_position_setpoint);
-
-#endif
diff --git a/apps/uORB/topics/vehicle_rates_setpoint.h b/apps/uORB/topics/vehicle_rates_setpoint.h
deleted file mode 100644
index 46e62c4b7..000000000
--- a/apps/uORB/topics/vehicle_rates_setpoint.h
+++ /dev/null
@@ -1,68 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *   Author: @author Lorenz Meier 
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file vehicle_rates_setpoint.h
- * Definition of the vehicle rates setpoint topic
- */
-
-#ifndef TOPIC_VEHICLE_RATES_SETPOINT_H_
-#define TOPIC_VEHICLE_RATES_SETPOINT_H_
-
-#include 
-#include "../uORB.h"
-
-/**
- * @addtogroup topics
- * @{
- */
-struct vehicle_rates_setpoint_s
-{
-	uint64_t timestamp; /**< in microseconds since system start */
-
-	float roll;	/**< body angular rates in NED frame		*/
-	float pitch;	/**< body angular rates in NED frame		*/
-	float yaw;	/**< body angular rates in NED frame		*/
-	float thrust;	/**< thrust normalized to 0..1			*/
-
-}; /**< vehicle_rates_setpoint */
-
- /**
- * @}
- */
-
-/* register this as object request broker structure */
-ORB_DECLARE(vehicle_rates_setpoint);
-
-#endif
diff --git a/apps/uORB/topics/vehicle_status.h b/apps/uORB/topics/vehicle_status.h
deleted file mode 100644
index c7c1048f6..000000000
--- a/apps/uORB/topics/vehicle_status.h
+++ /dev/null
@@ -1,226 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *   Author: @author Lorenz Meier 
- *           @author Petri Tanskanen 
- *           @author Thomas Gubler 
- *           @author Julian Oes 
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file vehicle_status.h
- * Definition of the vehicle_status uORB topic.
- *
- * Published the state machine and the system status bitfields
- * (see SYS_STATUS mavlink message), published only by commander app.
- *
- * All apps should write to subsystem_info:
- *
- *  (any app) --> subsystem_info (published) --> (commander app state machine)  --> vehicle_status --> (mavlink app)
- */
-
-#ifndef VEHICLE_STATUS_H_
-#define VEHICLE_STATUS_H_
-
-#include 
-#include 
-#include "../uORB.h"
-
-/**
- * @addtogroup topics @{
- */
-
-/* State Machine */
-typedef enum
-{
-	SYSTEM_STATE_PREFLIGHT = 0,
-	SYSTEM_STATE_STANDBY = 1,
-	SYSTEM_STATE_GROUND_READY = 2,
-	SYSTEM_STATE_MANUAL = 3,
-	SYSTEM_STATE_STABILIZED = 4,
-	SYSTEM_STATE_AUTO = 5,
-	SYSTEM_STATE_MISSION_ABORT = 6,
-	SYSTEM_STATE_EMCY_LANDING = 7,
-	SYSTEM_STATE_EMCY_CUTOFF = 8,
-	SYSTEM_STATE_GROUND_ERROR = 9,
-	SYSTEM_STATE_REBOOT= 10,
-
-} commander_state_machine_t;
-
-enum VEHICLE_MODE_FLAG {
-	VEHICLE_MODE_FLAG_SAFETY_ARMED = 128,
-	VEHICLE_MODE_FLAG_MANUAL_INPUT_ENABLED = 64,
-	VEHICLE_MODE_FLAG_HIL_ENABLED = 32,
-	VEHICLE_MODE_FLAG_STABILIZED_ENABLED = 16,
-	VEHICLE_MODE_FLAG_GUIDED_ENABLED = 8,
-	VEHICLE_MODE_FLAG_AUTO_ENABLED = 4,
-	VEHICLE_MODE_FLAG_TEST_ENABLED = 2,
-	VEHICLE_MODE_FLAG_CUSTOM_MODE_ENABLED = 1
-}; /**< Same as MAV_MODE_FLAG of MAVLink 1.0 protocol */
-
-enum VEHICLE_FLIGHT_MODE {
-	VEHICLE_FLIGHT_MODE_MANUAL = 0,		/**< direct manual control, exact mode determined by VEHICLE_MANUAL_CONTROL_MODE */
-	VEHICLE_FLIGHT_MODE_STAB,		/**< attitude or rate stabilization plus velocity or position stabilization */
-	VEHICLE_FLIGHT_MODE_HOLD,		/**< hold current position (hover or loiter around position when switched) */
-	VEHICLE_FLIGHT_MODE_AUTO		/**< attitude or rate stabilization plus absolute position control and waypoints */
-};
-
-enum VEHICLE_MANUAL_CONTROL_MODE {
-	VEHICLE_MANUAL_CONTROL_MODE_DIRECT = 0,	/**< no attitude control, direct stick input mixing (only fixed wing) */
-	VEHICLE_MANUAL_CONTROL_MODE_RATES,	/**< body rates control mode */
-	VEHICLE_MANUAL_CONTROL_MODE_SAS		/**< stability augmented system (SAS) mode */
-};
-
-enum VEHICLE_MANUAL_SAS_MODE {
-	VEHICLE_MANUAL_SAS_MODE_ROLL_PITCH_ABS_YAW_ABS = 0,	/**< roll, pitch and yaw absolute */
-	VEHICLE_MANUAL_SAS_MODE_ROLL_PITCH_ABS_YAW_RATE,	/**< roll and pitch absolute, yaw rate */
-	VEHICLE_MANUAL_SAS_MODE_SIMPLE,				/**< simple mode (includes altitude hold) */
-	VEHICLE_MANUAL_SAS_MODE_ALTITUDE			/**< altitude hold */
-};
-
-/**
- * Should match 1:1 MAVLink's MAV_TYPE ENUM
- */
-enum VEHICLE_TYPE {
-	VEHICLE_TYPE_GENERIC=0, /* Generic micro air vehicle. | */
-	VEHICLE_TYPE_FIXED_WING=1, /* Fixed wing aircraft. | */
-	VEHICLE_TYPE_QUADROTOR=2, /* Quadrotor | */
-	VEHICLE_TYPE_COAXIAL=3, /* Coaxial helicopter | */
-	VEHICLE_TYPE_HELICOPTER=4, /* Normal helicopter with tail rotor. | */
-	VEHICLE_TYPE_ANTENNA_TRACKER=5, /* Ground installation | */
-	VEHICLE_TYPE_GCS=6, /* Operator control unit / ground control station | */
-	VEHICLE_TYPE_AIRSHIP=7, /* Airship, controlled | */
-	VEHICLE_TYPE_FREE_BALLOON=8, /* Free balloon, uncontrolled | */
-	VEHICLE_TYPE_ROCKET=9, /* Rocket | */
-	VEHICLE_TYPE_GROUND_ROVER=10, /* Ground rover | */
-	VEHICLE_TYPE_SURFACE_BOAT=11, /* Surface vessel, boat, ship | */
-	VEHICLE_TYPE_SUBMARINE=12, /* Submarine | */
-	VEHICLE_TYPE_HEXAROTOR=13, /* Hexarotor | */
-	VEHICLE_TYPE_OCTOROTOR=14, /* Octorotor | */
-	VEHICLE_TYPE_TRICOPTER=15, /* Octorotor | */
-	VEHICLE_TYPE_FLAPPING_WING=16, /* Flapping wing | */
-	VEHICLE_TYPE_KITE=17, /* Kite | */
-	VEHICLE_TYPE_ENUM_END=18, /*  | */
-};
-
-enum VEHICLE_BATTERY_WARNING {
-    VEHICLE_BATTERY_WARNING_NONE = 0,    /**< no battery low voltage warning active */
-    VEHICLE_BATTERY_WARNING_WARNING,        /**< warning of low voltage 1. stage */
-    VEHICLE_BATTERY_WARNING_ALERT            /**< aleting of low voltage 2. stage */
-};
-
-
-/**
- * state machine / state of vehicle.
- *
- * Encodes the complete system state and is set by the commander app.
- */
-struct vehicle_status_s
-{
-	/* use of a counter and timestamp recommended (but not necessary) */
-
-	uint16_t counter;   /**< incremented by the writing thread everytime new data is stored */
-	uint64_t timestamp; /**< in microseconds since system start, is set whenever the writing thread stores new data */
-	uint64_t failsave_lowlevel_start_time;		/**< time when the lowlevel failsafe flag was set */
-	//uint64_t failsave_highlevel_begin; TO BE COMPLETED
-
-	commander_state_machine_t state_machine;	/**< current flight state, main state machine */
-	enum VEHICLE_FLIGHT_MODE flight_mode;		/**< current flight mode, as defined by mode switch */
-	enum VEHICLE_MANUAL_CONTROL_MODE manual_control_mode;	/**< current attitude control mode, as defined by VEHICLE_ATTITUDE_MODE enum */
-	enum VEHICLE_MANUAL_SAS_MODE	manual_sas_mode;	/**< current stabilization mode */
-	int32_t system_type;				/**< system type, inspired by MAVLink's VEHICLE_TYPE enum */
-	int32_t	system_id;				/**< system id, inspired by MAVLink's system ID field */
-	int32_t component_id;				/**< subsystem / component id, inspired by MAVLink's component ID field */
-
-	/* system flags - these represent the state predicates */
-
-	bool flag_system_armed;				/**< true is motors / actuators are armed */
-	bool flag_control_manual_enabled;		/**< true if manual input is mixed in */
-	bool flag_control_offboard_enabled;		/**< true if offboard control input is on */
-	bool flag_hil_enabled;				/**< true if hardware in the loop simulation is enabled */
-
-	bool flag_control_rates_enabled;		/**< true if rates are stabilized */
-	bool flag_control_attitude_enabled;		/**< true if attitude stabilization is mixed in */
-	bool flag_control_velocity_enabled;		/**< true if speed (implies direction) is controlled */
-	bool flag_control_position_enabled;		/**< true if position is controlled */
-
-	bool flag_preflight_gyro_calibration;		/**< true if gyro calibration is requested */
-	bool flag_preflight_mag_calibration;		/**< true if mag calibration is requested */
-	bool flag_preflight_accel_calibration;
-	bool flag_preflight_airspeed_calibration;
-
-	bool rc_signal_found_once;
-	bool rc_signal_lost;				/**< true if RC reception is terminally lost */
-	bool rc_signal_cutting_off;			/**< true if RC reception is weak / cutting off */
-	uint64_t rc_signal_lost_interval;		/**< interval in microseconds since when no RC signal is available */
-
-	bool offboard_control_signal_found_once;
-	bool offboard_control_signal_lost;
-	bool offboard_control_signal_weak;
-	uint64_t offboard_control_signal_lost_interval;	/**< interval in microseconds without an offboard control message */
-
-	bool failsave_lowlevel;				/**< Set to true if low-level failsafe mode is enabled */
-	//bool failsave_highlevel;
-
-	/* see SYS_STATUS mavlink message for the following */
-	uint32_t onboard_control_sensors_present;
-	uint32_t onboard_control_sensors_enabled;
-	uint32_t onboard_control_sensors_health;
-	float load;
-	float voltage_battery;
-	float current_battery;
-	float battery_remaining;
-	enum VEHICLE_BATTERY_WARNING battery_warning;    /**< current battery warning mode, as defined by VEHICLE_BATTERY_WARNING enum */
-	uint16_t drop_rate_comm;
-	uint16_t errors_comm;
-	uint16_t errors_count1;
-	uint16_t errors_count2;
-	uint16_t errors_count3;
-	uint16_t errors_count4;
-
-	bool flag_global_position_valid;		/**< set to true by the commander app if the quality of the gps signal is good enough to use it in the position estimator */
-	bool flag_local_position_valid;
-	bool flag_vector_flight_mode_ok;		/**< position estimation, battery voltage and other critical subsystems are good for autonomous flight */
-	bool flag_auto_flight_mode_ok;			/**< conditions of vector flight mode apply plus a valid takeoff position lock has been aquired */
-	bool flag_external_manual_override_ok;		/**< external override non-fatal for system. Only true for fixed wing */
-	bool flag_valid_launch_position;		/**< indicates a valid launch position */
-	bool flag_valid_home_position;			/**< indicates a valid home position (a valid home position is not always a valid launch) */
-	bool flag_airspeed_valid;			/**< set to true by the commander app if there is a valid airspeed measurement available */
-};
-
-/**
- * @}
- */
-
-/* register this as object request broker structure */
-ORB_DECLARE(vehicle_status);
-
-#endif
diff --git a/apps/uORB/topics/vehicle_vicon_position.h b/apps/uORB/topics/vehicle_vicon_position.h
deleted file mode 100644
index 0822fa89a..000000000
--- a/apps/uORB/topics/vehicle_vicon_position.h
+++ /dev/null
@@ -1,78 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *   Author: @author Lorenz Meier 
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file vehicle_vicon_position.h
- * Definition of the raw VICON Motion Capture position
- */
-
-#ifndef TOPIC_VEHICLE_VICON_POSITION_H_
-#define TOPIC_VEHICLE_VICON_POSITION_H_
-
-#include 
-#include 
-#include "../uORB.h"
-
-/**
- * @addtogroup topics
- * @{
- */
-
-/**
- * Fused local position in NED.
- */
-struct vehicle_vicon_position_s
-{
-	uint64_t timestamp;			/**< time of this estimate, in microseconds since system start */
-	bool valid;				/**< true if position satisfies validity criteria of estimator */
-
-	float x;				/**< X positin in meters in NED earth-fixed frame */
-	float y;				/**< X positin in meters in NED earth-fixed frame */
-	float z;				/**< Z positin in meters in NED earth-fixed frame (negative altitude) */
-	float roll;
-	float pitch;
-	float yaw;
-
-	// TODO Add covariances here
-
-};
-
-/**
- * @}
- */
-
-/* register this as object request broker structure */
-ORB_DECLARE(vehicle_vicon_position);
-
-#endif
diff --git a/apps/uORB/uORB.cpp b/apps/uORB/uORB.cpp
deleted file mode 100644
index 7abbf42ae..000000000
--- a/apps/uORB/uORB.cpp
+++ /dev/null
@@ -1,1006 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-/**
- * @file uORB.cpp
- * A lightweight object broker.
- */
-
-#include 
-
-#include 
-
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-#include 
-
-#include 
-#include 
-#include 
-
-#include 
-
-#include 
-
-#include "uORB.h"
-
-/**
- * Utility functions.
- */
-namespace
-{
-
-static const unsigned orb_maxpath = 64;
-
-/* oddly, ERROR is not defined for c++ */
-#ifdef ERROR
-# undef ERROR
-#endif
-const int ERROR = -1;
-
-enum Flavor {
-	PUBSUB,
-	PARAM
-};
-
-int
-node_mkpath(char *buf, Flavor f, const struct orb_metadata *meta)
-{
-	unsigned len;
-
-	len = snprintf(buf, orb_maxpath, "/%s/%s",
-		       (f == PUBSUB) ? "obj" : "param",
-		       meta->o_name);
-
-	if (len >= orb_maxpath)
-		return -ENAMETOOLONG;
-
-	return OK;
-}
-
-}
-
-/**
- * Per-object device instance.
- */
-class ORBDevNode : public device::CDev
-{
-public:
-	ORBDevNode(const struct orb_metadata *meta, const char *name, const char *path);
-	~ORBDevNode();
-
-	virtual int		open(struct file *filp);
-	virtual int		close(struct file *filp);
-	virtual ssize_t		read(struct file *filp, char *buffer, size_t buflen);
-	virtual ssize_t		write(struct file *filp, const char *buffer, size_t buflen);
-	virtual int		ioctl(struct file *filp, int cmd, unsigned long arg);
-
-	static ssize_t		publish(const orb_metadata *meta, orb_advert_t handle, const void *data);
-
-protected:
-	virtual pollevent_t	poll_state(struct file *filp);
-	virtual void		poll_notify_one(struct pollfd *fds, pollevent_t events);
-
-private:
-	struct SubscriberData {
-		unsigned	generation;	/**< last generation the subscriber has seen */
-		unsigned	update_interval; /**< if nonzero minimum interval between updates */
-		struct hrt_call	update_call;	/**< deferred wakeup call if update_period is nonzero */
-		void		*poll_priv;	/**< saved copy of fds->f_priv while poll is active */
-		bool		update_reported; /**< true if we have reported the update via poll/check */
-	};
-
-	const struct orb_metadata *_meta;	/**< object metadata information */
-	uint8_t			*_data;		/**< allocated object buffer */
-	hrt_abstime		_last_update;	/**< time the object was last updated */
-	volatile unsigned 	_generation;	/**< object generation count */
-	pid_t			_publisher;	/**< if nonzero, current publisher */
-
-	SubscriberData		*filp_to_sd(struct file *filp) {
-		SubscriberData *sd = (SubscriberData *)(filp->f_priv);
-		return sd;
-	}
-
-	/**
-	 * Perform a deferred update for a rate-limited subscriber.
-	 */
-	void			update_deferred();
-
-	/**
-	 * Bridge from hrt_call to update_deferred
-	 *
-	 * void *arg		ORBDevNode pointer for which the deferred update is performed.
-	 */
-	static void		update_deferred_trampoline(void *arg);
-
-	/**
-	 * Check whether a topic appears updated to a subscriber.
-	 *
-	 * @param sd		The subscriber for whom to check.
-	 * @return		True if the topic should appear updated to the subscriber
-	 */
-	bool			appears_updated(SubscriberData *sd);
-};
-
-ORBDevNode::ORBDevNode(const struct orb_metadata *meta, const char *name, const char *path) :
-	CDev(name, path),
-	_meta(meta),
-	_data(nullptr),
-	_last_update(0),
-	_generation(0),
-	_publisher(0)
-{
-	// enable debug() calls
-	_debug_enabled = true;
-}
-
-ORBDevNode::~ORBDevNode()
-{
-	if (_data != nullptr)
-		delete[] _data;
-}
-
-int
-ORBDevNode::open(struct file *filp)
-{
-	int ret;
-
-	/* is this a publisher? */
-	if (filp->f_oflags == O_WRONLY) {
-
-		/* become the publisher if we can */
-		lock();
-
-		if (_publisher == 0) {
-			_publisher = getpid();
-			ret = OK;
-
-		} else {
-			ret = -EBUSY;
-		}
-
-		unlock();
-
-		/* now complete the open */
-		if (ret == OK) {
-			ret = CDev::open(filp);
-
-			/* open failed - not the publisher anymore */
-			if (ret != OK)
-				_publisher = 0;
-		}
-
-		return ret;
-	}
-
-	/* is this a new subscriber? */
-	if (filp->f_oflags == O_RDONLY) {
-
-		/* allocate subscriber data */
-		SubscriberData *sd = new SubscriberData;
-
-		if (nullptr == sd)
-			return -ENOMEM;
-
-		memset(sd, 0, sizeof(*sd));
-
-		/* default to no pending update */
-		sd->generation = _generation;
-
-		filp->f_priv = (void *)sd;
-
-		ret = CDev::open(filp);
-
-		if (ret != OK)
-			free(sd);
-
-		return ret;
-	}
-
-	/* can only be pub or sub, not both */
-	return -EINVAL;
-}
-
-int
-ORBDevNode::close(struct file *filp)
-{
-	/* is this the publisher closing? */
-	if (getpid() == _publisher) {
-		_publisher = 0;
-
-	} else {
-		SubscriberData *sd = filp_to_sd(filp);
-
-		if (sd != nullptr)
-			delete sd;
-	}
-
-	return CDev::close(filp);
-}
-
-ssize_t
-ORBDevNode::read(struct file *filp, char *buffer, size_t buflen)
-{
-	SubscriberData *sd = (SubscriberData *)filp_to_sd(filp);
-
-	/* if the object has not been written yet, return zero */
-	if (_data == nullptr)
-		return 0;
-
-	/* if the caller's buffer is the wrong size, that's an error */
-	if (buflen != _meta->o_size)
-		return -EIO;
-
-	/*
-	 * Perform an atomic copy & state update
-	 */
-	irqstate_t flags = irqsave();
-
-	/* if the caller doesn't want the data, don't give it to them */
-	if (nullptr != buffer)
-		memcpy(buffer, _data, _meta->o_size);
-
-	/* track the last generation that the file has seen */
-	sd->generation = _generation;
-
-	/*
-	 * Clear the flag that indicates that an update has been reported, as
-	 * we have just collected it.
-	 */
-	sd->update_reported = false;
-
-	irqrestore(flags);
-
-	return _meta->o_size;
-}
-
-ssize_t
-ORBDevNode::write(struct file *filp, const char *buffer, size_t buflen)
-{
-	/*
-	 * Writes are legal from interrupt context as long as the
-	 * object has already been initialised from thread context.
-	 *
-	 * Writes outside interrupt context will allocate the object
-	 * if it has not yet been allocated.
-	 *
-	 * Note that filp will usually be NULL.
-	 */
-	if (nullptr == _data) {
-		if (!up_interrupt_context()) {
-
-			lock();
-
-			/* re-check size */
-			if (nullptr == _data)
-				_data = new uint8_t[_meta->o_size];
-
-			unlock();
-		}
-
-		/* failed or could not allocate */
-		if (nullptr == _data)
-			return -ENOMEM;
-	}
-
-	/* If write size does not match, that is an error */
-	if (_meta->o_size != buflen)
-		return -EIO;
-
-	/* Perform an atomic copy. */
-	irqstate_t flags = irqsave();
-	memcpy(_data, buffer, _meta->o_size);
-	irqrestore(flags);
-
-	/* update the timestamp and generation count */
-	_last_update = hrt_absolute_time();
-	_generation++;
-
-	/* notify any poll waiters */
-	poll_notify(POLLIN);
-
-	return _meta->o_size;
-}
-
-int
-ORBDevNode::ioctl(struct file *filp, int cmd, unsigned long arg)
-{
-	SubscriberData *sd = filp_to_sd(filp);
-
-	switch (cmd) {
-	case ORBIOCLASTUPDATE:
-		*(hrt_abstime *)arg = _last_update;
-		return OK;
-
-	case ORBIOCUPDATED:
-		*(bool *)arg = appears_updated(sd);
-		return OK;
-
-	case ORBIOCSETINTERVAL:
-		sd->update_interval = arg;
-		return OK;
-
-	case ORBIOCGADVERTISER:
-		*(uintptr_t *)arg = (uintptr_t)this;
-		return OK;
-
-	default:
-		/* give it to the superclass */
-		return CDev::ioctl(filp, cmd, arg);
-	}
-}
-
-ssize_t
-ORBDevNode::publish(const orb_metadata *meta, orb_advert_t handle, const void *data)
-{
-	ORBDevNode *devnode = (ORBDevNode *)handle;
-	int ret;
-
-	/* this is a bit risky, since we are trusting the handle in order to deref it */
-	if (devnode->_meta != meta) {
-		errno = EINVAL;
-		return ERROR;
-	}
-
-	/* call the devnode write method with no file pointer */
-	ret = devnode->write(nullptr, (const char *)data, meta->o_size);
-
-	if (ret < 0)
-		return ERROR;
-
-	if (ret != (int)meta->o_size) {
-		errno = EIO;
-		return ERROR;
-	}
-
-	return OK;
-}
-
-pollevent_t
-ORBDevNode::poll_state(struct file *filp)
-{
-	SubscriberData *sd = filp_to_sd(filp);
-
-	/*
-	 * If the topic appears updated to the subscriber, say so.
-	 */
-	if (appears_updated(sd))
-		return POLLIN;
-
-	return 0;
-}
-
-void
-ORBDevNode::poll_notify_one(struct pollfd *fds, pollevent_t events)
-{
-	SubscriberData *sd = filp_to_sd((struct file *)fds->priv);
-
-	/*
-	 * If the topic looks updated to the subscriber, go ahead and notify them.
-	 */
-	if (appears_updated(sd))
-		CDev::poll_notify_one(fds, events);
-}
-
-bool
-ORBDevNode::appears_updated(SubscriberData *sd)
-{
-	/* assume it doesn't look updated */
-	bool ret = false;
-
-	/* avoid racing between interrupt and non-interrupt context calls */
-	irqstate_t state = irqsave();
-
-	/* check if this topic has been published yet, if not bail out */
-	if (_data == nullptr) {
-		ret = false;
-		goto out;
-	}
-
-	/*
-	 * If the subscriber's generation count matches the update generation
-	 * count, there has been no update from their perspective; if they
-	 * don't match then we might have a visible update.
-	 */
-	while (sd->generation != _generation) {
-
-		/*
-		 * Handle non-rate-limited subscribers.
-		 */
-		if (sd->update_interval == 0) {
-			ret = true;
-			break;
-		}
-
-		/*
-		 * If we have previously told the subscriber that there is data,
-		 * and they have not yet collected it, continue to tell them
-		 * that there has been an update.  This mimics the non-rate-limited
-		 * behaviour where checking / polling continues to report an update
-		 * until the topic is read.
-		 */
-		if (sd->update_reported) {
-			ret = true;
-			break;
-		}
-
-		/*
-		 * If the interval timer is still running, the topic should not
-		 * appear updated, even though at this point we know that it has.
-		 * We have previously been through here, so the subscriber
-		 * must have collected the update we reported, otherwise
-		 * update_reported would still be true.
-		 */
-		if (!hrt_called(&sd->update_call))
-			break;
-
-		/*
-		 * Make sure that we don't consider the topic to be updated again
-		 * until the interval has passed once more by restarting the interval
-		 * timer and thereby re-scheduling a poll notification at that time.
-		 */
-		hrt_call_after(&sd->update_call,
-			       sd->update_interval,
-			       &ORBDevNode::update_deferred_trampoline,
-			       (void *)this);
-
-		/*
-		 * Remember that we have told the subscriber that there is data.
-		 */
-		sd->update_reported = true;
-		ret = true;
-
-		break;
-	}
-
-out:
-	irqrestore(state);
-
-	/* consider it updated */
-	return ret;
-}
-
-void
-ORBDevNode::update_deferred()
-{
-	/*
-	 * Instigate a poll notification; any subscribers whose intervals have
-	 * expired will be woken.
-	 */
-	poll_notify(POLLIN);
-}
-
-void
-ORBDevNode::update_deferred_trampoline(void *arg)
-{
-	ORBDevNode *node = (ORBDevNode *)arg;
-
-	node->update_deferred();
-}
-
-/**
- * Master control device for ObjDev.
- *
- * Used primarily to create new objects via the ORBIOCCREATE
- * ioctl.
- */
-class ORBDevMaster : public device::CDev
-{
-public:
-	ORBDevMaster(Flavor f);
-	~ORBDevMaster();
-
-	virtual int		ioctl(struct file *filp, int cmd, unsigned long arg);
-private:
-	Flavor			_flavor;
-};
-
-ORBDevMaster::ORBDevMaster(Flavor f) :
-	CDev((f == PUBSUB) ? "obj_master" : "param_master",
-	     (f == PUBSUB) ? TOPIC_MASTER_DEVICE_PATH : PARAM_MASTER_DEVICE_PATH),
-	_flavor(f)
-{
-	// enable debug() calls
-	_debug_enabled = true;
-
-}
-
-ORBDevMaster::~ORBDevMaster()
-{
-}
-
-int
-ORBDevMaster::ioctl(struct file *filp, int cmd, unsigned long arg)
-{
-	int ret;
-
-	switch (cmd) {
-	case ORBIOCADVERTISE: {
-			const struct orb_metadata *meta = (const struct orb_metadata *)arg;
-			const char *objname;
-			char nodepath[orb_maxpath];
-			ORBDevNode *node;
-
-			/* construct a path to the node - this also checks the node name */
-			ret = node_mkpath(nodepath, _flavor, meta);
-
-			if (ret != OK)
-				return ret;
-
-			/* driver wants a permanent copy of the node name, so make one here */
-			objname = strdup(meta->o_name);
-
-			if (objname == nullptr)
-				return -ENOMEM;
-
-			/* construct the new node */
-			node = new ORBDevNode(meta, objname, nodepath);
-
-			/* initialise the node - this may fail if e.g. a node with this name already exists */
-			if (node != nullptr)
-				ret = node->init();
-
-			/* if we didn't get a device, that's bad */
-			if (node == nullptr)
-				return -ENOMEM;
-
-			/* if init failed, discard the node and its name */
-			if (ret != OK) {
-				delete node;
-				free((void *)objname);
-			}
-
-			return ret;
-		}
-
-	default:
-		/* give it to the superclass */
-		return CDev::ioctl(filp, cmd, arg);
-	}
-}
-
-
-/**
- * Local functions in support of the shell command.
- */
-
-namespace
-{
-
-ORBDevMaster	*g_dev;
-
-struct orb_test {
-	int val;
-};
-
-ORB_DEFINE(orb_test, struct orb_test);
-
-int
-test_fail(const char *fmt, ...)
-{
-	va_list ap;
-
-	fprintf(stderr, "FAIL: ");
-	va_start(ap, fmt);
-	vfprintf(stderr, fmt, ap);
-	va_end(ap);
-	fprintf(stderr, "\n");
-	fflush(stderr);
-	return ERROR;
-}
-
-int
-test_note(const char *fmt, ...)
-{
-	va_list ap;
-
-	fprintf(stderr, "note: ");
-	va_start(ap, fmt);
-	vfprintf(stderr, fmt, ap);
-	va_end(ap);
-	fprintf(stderr, "\n");
-	fflush(stderr);
-	return OK;
-}
-
-ORB_DECLARE(sensor_combined);
-
-int
-test()
-{
-	struct orb_test t, u;
-	int pfd, sfd;
-	bool updated;
-
-	t.val = 0;
-	pfd = orb_advertise(ORB_ID(orb_test), &t);
-
-	if (pfd < 0)
-		return test_fail("advertise failed: %d", errno);
-
-	test_note("publish handle 0x%08x", pfd);
-	sfd = orb_subscribe(ORB_ID(orb_test));
-
-	if (sfd < 0)
-		return test_fail("subscribe failed: %d", errno);
-
-	test_note("subscribe fd %d", sfd);
-	u.val = 1;
-
-	if (OK != orb_copy(ORB_ID(orb_test), sfd, &u))
-		return test_fail("copy(1) failed: %d", errno);
-
-	if (u.val != t.val)
-		return test_fail("copy(1) mismatch: %d expected %d", u.val, t.val);
-
-	if (OK != orb_check(sfd, &updated))
-		return test_fail("check(1) failed");
-
-	if (updated)
-		return test_fail("spurious updated flag");
-
-	t.val = 2;
-	test_note("try publish");
-
-	if (OK != orb_publish(ORB_ID(orb_test), pfd, &t))
-		return test_fail("publish failed");
-
-	if (OK != orb_check(sfd, &updated))
-		return test_fail("check(2) failed");
-
-	if (!updated)
-		return test_fail("missing updated flag");
-
-	if (OK != orb_copy(ORB_ID(orb_test), sfd, &u))
-		return test_fail("copy(2) failed: %d", errno);
-
-	if (u.val != t.val)
-		return test_fail("copy(2) mismatch: %d expected %d", u.val, t.val);
-
-	orb_unsubscribe(sfd);
-	close(pfd);
-
-#if 0
-	/* this is a hacky test that exploits the sensors app to test rate-limiting */
-
-	sfd = orb_subscribe(ORB_ID(sensor_combined));
-
-	hrt_abstime start, end;
-	unsigned count;
-
-	start = hrt_absolute_time();
-	count = 0;
-
-	do {
-		orb_check(sfd, &updated);
-
-		if (updated) {
-			orb_copy(ORB_ID(sensor_combined), sfd, nullptr);
-			count++;
-		}
-	} while (count < 100);
-
-	end = hrt_absolute_time();
-	test_note("full-speed, 100 updates in %llu", end - start);
-
-	orb_set_interval(sfd, 10);
-
-	start = hrt_absolute_time();
-	count = 0;
-
-	do {
-		orb_check(sfd, &updated);
-
-		if (updated) {
-			orb_copy(ORB_ID(sensor_combined), sfd, nullptr);
-			count++;
-		}
-	} while (count < 100);
-
-	end = hrt_absolute_time();
-	test_note("100Hz, 100 updates in %llu", end - start);
-
-	orb_unsubscribe(sfd);
-#endif
-
-	return test_note("PASS");
-}
-
-int
-info()
-{
-	return OK;
-}
-
-
-} // namespace
-
-/*
- * uORB server 'main'.
- */
-extern "C" { __EXPORT int uorb_main(int argc, char *argv[]); }
-
-int
-uorb_main(int argc, char *argv[])
-{
-	/*
-	 * Start/load the driver.
-	 *
-	 * XXX it would be nice to have a wrapper for this...
-	 */
-	if (!strcmp(argv[1], "start")) {
-
-		if (g_dev != nullptr) {
-			fprintf(stderr, "[uorb] already loaded\n");
-			/* user wanted to start uorb, its already running, no error */
-			return 0;
-		}
-
-		/* create the driver */
-		g_dev = new ORBDevMaster(PUBSUB);
-
-		if (g_dev == nullptr) {
-			fprintf(stderr, "[uorb] driver alloc failed\n");
-			return -ENOMEM;
-		}
-
-		if (OK != g_dev->init()) {
-			fprintf(stderr, "[uorb] driver init failed\n");
-			delete g_dev;
-			g_dev = nullptr;
-			return -EIO;
-		}
-
-		printf("[uorb] ready\n");
-		return OK;
-	}
-
-	/*
-	 * Test the driver/device.
-	 */
-	if (!strcmp(argv[1], "test"))
-		return test();
-
-	/*
-	 * Print driver information.
-	 */
-	if (!strcmp(argv[1], "status"))
-		return info();
-
-	fprintf(stderr, "unrecognised command, try 'start', 'test' or 'status'\n");
-	return -EINVAL;
-}
-
-/*
- * Library functions.
- */
-namespace
-{
-
-void debug(const char *fmt, ...)
-{
-	va_list ap;
-
-	va_start(ap, fmt);
-	vfprintf(stderr, fmt, ap);
-	va_end(ap);
-	fprintf(stderr, "\n");
-	fflush(stderr);
-	usleep(100000);
-}
-
-/**
- * Advertise a node; don't consider it an error if the node has
- * already been advertised.
- *
- * @todo verify that the existing node is the same as the one
- *       we tried to advertise.
- */
-int
-node_advertise(const struct orb_metadata *meta)
-{
-	int fd = -1;
-	int ret = ERROR;
-
-	/* open the control device */
-	fd = open(TOPIC_MASTER_DEVICE_PATH, 0);
-
-	if (fd < 0)
-		goto out;
-
-	/* advertise the object */
-	ret = ioctl(fd, ORBIOCADVERTISE, (unsigned long)(uintptr_t)meta);
-
-	/* it's OK if it already exists */
-	if ((OK != ret) && (EEXIST == errno))
-		ret = OK;
-
-out:
-
-	if (fd >= 0)
-		close(fd);
-
-	return ret;
-}
-
-/**
- * Common implementation for orb_advertise and orb_subscribe.
- *
- * Handles creation of the object and the initial publication for
- * advertisers.
- */
-int
-node_open(Flavor f, const struct orb_metadata *meta, const void *data, bool advertiser)
-{
-	char path[orb_maxpath];
-	int fd, ret;
-
-	/*
-	 * If meta is null, the object was not defined, i.e. it is not
-	 * known to the system.  We can't advertise/subscribe such a thing.
-	 */
-	if (nullptr == meta) {
-		errno = ENOENT;
-		return ERROR;
-	}
-
-	/*
-	 * Advertiser must publish an initial value.
-	 */
-	if (advertiser && (data == nullptr)) {
-		errno = EINVAL;
-		return ERROR;
-	}
-
-	/*
-	 * Generate the path to the node and try to open it.
-	 */
-	ret = node_mkpath(path, f, meta);
-
-	if (ret != OK) {
-		errno = -ret;
-		return ERROR;
-	}
-
-	/* open the path as either the advertiser or the subscriber */
-	fd = open(path, (advertiser) ? O_WRONLY : O_RDONLY);
-
-	/* we may need to advertise the node... */
-	if (fd < 0) {
-
-		/* try to create the node */
-		ret = node_advertise(meta);
-
-		/* on success, try the open again */
-		if (ret == OK)
-			fd = open(path, (advertiser) ? O_WRONLY : O_RDONLY);
-	}
-
-	if (fd < 0) {
-		errno = EIO;
-		return ERROR;
-	}
-
-	/* everything has been OK, we can return the handle now */
-	return fd;
-}
-
-} // namespace
-
-orb_advert_t
-orb_advertise(const struct orb_metadata *meta, const void *data)
-{
-	int result, fd;
-	orb_advert_t advertiser;
-
-	/* open the node as an advertiser */
-	fd = node_open(PUBSUB, meta, data, true);
-	if (fd == ERROR)
-		return ERROR;
-
-	/* get the advertiser handle and close the node */
-	result = ioctl(fd, ORBIOCGADVERTISER, (unsigned long)&advertiser);
-	close(fd);
-	if (result == ERROR)
-		return ERROR;
-
-	/* the advertiser must perform an initial publish to initialise the object */
-	result= orb_publish(meta, advertiser, data);
-	if (result == ERROR)
-		return ERROR;
-
-	return advertiser;
-}
-
-int
-orb_subscribe(const struct orb_metadata *meta)
-{
-	return node_open(PUBSUB, meta, nullptr, false);
-}
-
-int
-orb_unsubscribe(int handle)
-{
-	return close(handle);
-}
-
-int
-orb_publish(const struct orb_metadata *meta, orb_advert_t handle, const void *data)
-{
-	return ORBDevNode::publish(meta, handle, data);
-}
-
-int
-orb_copy(const struct orb_metadata *meta, int handle, void *buffer)
-{
-	int ret;
-
-	ret = read(handle, buffer, meta->o_size);
-
-	if (ret < 0)
-		return ERROR;
-
-	if (ret != (int)meta->o_size) {
-		errno = EIO;
-		return ERROR;
-	}
-
-	return OK;
-}
-
-int
-orb_check(int handle, bool *updated)
-{
-	return ioctl(handle, ORBIOCUPDATED, (unsigned long)(uintptr_t)updated);
-}
-
-int
-orb_stat(int handle, uint64_t *time)
-{
-	return ioctl(handle, ORBIOCLASTUPDATE, (unsigned long)(uintptr_t)time);
-}
-
-int
-orb_set_interval(int handle, unsigned interval)
-{
-	return ioctl(handle, ORBIOCSETINTERVAL, interval * 1000);
-}
-
diff --git a/apps/uORB/uORB.h b/apps/uORB/uORB.h
deleted file mode 100644
index 82ff46ad2..000000000
--- a/apps/uORB/uORB.h
+++ /dev/null
@@ -1,264 +0,0 @@
-/****************************************************************************
- *
- *   Copyright (C) 2012 PX4 Development Team. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in
- *    the documentation and/or other materials provided with the
- *    distribution.
- * 3. Neither the name PX4 nor the names of its contributors may be
- *    used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
- * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
- * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
- * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
- * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
- * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
- * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
- * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- * POSSIBILITY OF SUCH DAMAGE.
- *
- ****************************************************************************/
-
-#ifndef _UORB_UORB_H
-#define _UORB_UORB_H
-
-/**
- * @file uORB.h
- * API for the uORB lightweight object broker.
- */
-
-#include 
-#include 
-#include 
-
-// Hack until everything is using this header
-#include 
-
-/**
- * Object metadata.
- */
-struct orb_metadata {
-	const char *o_name;		/**< unique object name */
-	const size_t o_size;		/**< object size */
-};
-
-typedef const struct orb_metadata *orb_id_t;
-
-/**
- * Generates a pointer to the uORB metadata structure for
- * a given topic.
- *
- * The topic must have been declared previously in scope
- * with ORB_DECLARE().
- *
- * @param _name		The name of the topic.
- */
-#define ORB_ID(_name)		&__orb_##_name
-
-/**
- * Declare (prototype) the uORB metadata for a topic.
- *
- * Note that optional topics are declared weak; this allows a potential
- * subscriber to attempt to subscribe to a topic that is not known to the
- * system at runtime.  The ORB_ID() macro will return NULL/nullptr for
- * such a topic, and attempts to advertise or subscribe to it will
- * return -1/ENOENT (see below).
- *
- * @param _name		The name of the topic.
- */
-#if defined(__cplusplus)
-# define ORB_DECLARE(_name)		extern "C" const struct orb_metadata __orb_##_name __EXPORT
-# define ORB_DECLARE_OPTIONAL(_name)	extern "C" const struct orb_metadata __orb_##_name __EXPORT __attribute__((weak))
-#else
-# define ORB_DECLARE(_name)		extern const struct orb_metadata __orb_##_name __EXPORT
-# define ORB_DECLARE_OPTIONAL(_name)	extern const struct orb_metadata __orb_##_name __EXPORT __attribute__((weak))
-#endif
-
-/**
- * Define (instantiate) the uORB metadata for a topic.
- *
- * The uORB metadata is used to help ensure that updates and
- * copies are accessing the right data.
- *
- * Note that there must be no more than one instance of this macro
- * for each topic.
- *
- * @param _name		The name of the topic.
- * @param _struct	The structure the topic provides.
- */
-#define ORB_DEFINE(_name, _struct)			\
-	const struct orb_metadata __orb_##_name = {	\
-		#_name,					\
-		sizeof(_struct)				\
-	}; struct hack
-
-__BEGIN_DECLS
-
-/**
- * ORB topic advertiser handle.
- *
- * Advertiser handles are global; once obtained they can be shared freely
- * and do not need to be closed or released.
- *
- * This permits publication from interrupt context and other contexts where
- * a file-descriptor-based handle would not otherwise be in scope for the
- * publisher.
- */
-typedef intptr_t	orb_advert_t;
-
-/**
- * Advertise as the publisher of a topic.
- *
- * This performs the initial advertisement of a topic; it creates the topic
- * node in /obj if required and publishes the initial data.
- *
- * Any number of advertisers may publish to a topic; publications are atomic
- * but co-ordination between publishers is not provided by the ORB. 
- *
- * @param meta		The uORB metadata (usually from the ORB_ID() macro)
- *			for the topic.
- * @param data		A pointer to the initial data to be published.
- *			For topics updated by interrupt handlers, the advertisement
- *			must be performed from non-interrupt context.
- * @return		ERROR on error, otherwise returns a handle
- *			that can be used to publish to the topic.
- *			If the topic in question is not known (due to an
- *			ORB_DEFINE with no corresponding ORB_DECLARE)
- *			this function will return -1 and set errno to ENOENT.
- */
-extern orb_advert_t orb_advertise(const struct orb_metadata *meta, const void *data) __EXPORT;
-
-/**
- * Publish new data to a topic.
- *
- * The data is atomically published to the topic and any waiting subscribers
- * will be notified.  Subscribers that are not waiting can check the topic
- * for updates using orb_check and/or orb_stat.
- *
- * @param meta		The uORB metadata (usually from the ORB_ID() macro)
- *			for the topic.
- * @handle		The handle returned from orb_advertise.
- * @param data		A pointer to the data to be published.
- * @return		OK on success, ERROR otherwise with errno set accordingly.
- */
-extern int	orb_publish(const struct orb_metadata *meta, orb_advert_t handle, const void *data) __EXPORT;
-
-/**
- * Subscribe to a topic.
- *
- * The returned value is a file descriptor that can be passed to poll()
- * in order to wait for updates to a topic, as well as topic_read,
- * orb_check and orb_stat.
- *
- * Subscription will succeed even if the topic has not been advertised;
- * in this case the topic will have a timestamp of zero, it will never
- * signal a poll() event, checking will always return false and it cannot
- * be copied. When the topic is subsequently advertised, poll, check,
- * stat and copy calls will react to the initial publication that is
- * performed as part of the advertisement.
- *
- * Subscription will fail if the topic is not known to the system, i.e.
- * there is nothing in the system that has declared the topic and thus it
- * can never be published.
- *
- * @param meta		The uORB metadata (usually from the ORB_ID() macro)
- *			for the topic.
- * @return		ERROR on error, otherwise returns a handle
- *			that can be used to read and update the topic.
- *			If the topic in question is not known (due to an
- *			ORB_DEFINE_OPTIONAL with no corresponding ORB_DECLARE)
- *			this function will return -1 and set errno to ENOENT.
- */
-extern int	orb_subscribe(const struct orb_metadata *meta) __EXPORT;
-
-/**
- * Unsubscribe from a topic.
- *
- * @param handle	A handle returned from orb_subscribe.
- * @return		OK on success, ERROR otherwise with errno set accordingly.
- */
-extern int	orb_unsubscribe(int handle) __EXPORT;
-
-/**
- * Fetch data from a topic.
- *
- * This is the only operation that will reset the internal marker that
- * indicates that a topic has been updated for a subscriber. Once poll
- * or check return indicating that an updaet is available, this call
- * must be used to update the subscription.
- *
- * @param meta		The uORB metadata (usually from the ORB_ID() macro)
- *			for the topic.
- * @param handle	A handle returned from orb_subscribe.
- * @param buffer	Pointer to the buffer receiving the data, or NULL
- *			if the caller wants to clear the updated flag without
- *			using the data.
- * @return		OK on success, ERROR otherwise with errno set accordingly.
- */
-extern int	orb_copy(const struct orb_metadata *meta, int handle, void *buffer) __EXPORT;
-
-/**
- * Check whether a topic has been published to since the last orb_copy.
- *
- * This check can be used to determine whether to copy the topic when
- * not using poll(), or to avoid the overhead of calling poll() when the
- * topic is likely to have updated.
- *
- * Updates are tracked on a per-handle basis; this call will continue to
- * return true until orb_copy is called using the same handle. This interface
- * should be preferred over calling orb_stat due to the race window between
- * stat and copy that can lead to missed updates.
- *
- * @param handle	A handle returned from orb_subscribe.
- * @param updated	Set to true if the topic has been updated since the
- *			last time it was copied using this handle.
- * @return		OK if the check was successful, ERROR otherwise with
- *			errno set accordingly.
- */
-extern int	orb_check(int handle, bool *updated) __EXPORT;
-
-/**
- * Return the last time that the topic was updated.
- *
- * @param handle	A handle returned from orb_subscribe.
- * @param time		Returns the absolute time that the topic was updated, or zero if it has
- *			never been updated. Time is measured in microseconds.
- * @return		OK on success, ERROR otherwise with errno set accordingly.
- */
-extern int	orb_stat(int handle, uint64_t *time) __EXPORT;
-
-/**
- * Set the minimum interval between which updates are seen for a subscription.
- *
- * If this interval is set, the subscriber will not see more than one update
- * within the period.
- *
- * Specifically, the first time an update is reported to the subscriber a timer
- * is started. The update will continue to be reported via poll and orb_check, but
- * once fetched via orb_copy another update will not be reported until the timer
- * expires.
- *
- * This feature can be used to pace a subscriber that is watching a topic that
- * would otherwise update too quickly.
- *
- * @param handle	A handle returned from orb_subscribe.
- * @param interval	An interval period in milliseconds.
- * @return		OK on success, ERROR otherwise with ERRNO set accordingly.
- */
-extern int	orb_set_interval(int handle, unsigned interval) __EXPORT;
-
-__END_DECLS
-
-#endif /* _UORB_UORB_H */
-- 
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