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+/****************************************************************************
+ *
+ * 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 <inttypes.h>
+#include <assert.h>
+#include <stdlib.h>
+#include <string.h>
+#include <stdio.h>
+#include <math.h>
+
+#include <systemlib/math/Vector.hpp>
+#include <systemlib/math/Matrix.hpp>
+
+// arm specific
+#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