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author | px4dev <px4@purgatory.org> | 2013-01-06 12:52:05 -0800 |
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committer | px4dev <px4@purgatory.org> | 2013-01-06 12:52:05 -0800 |
commit | 4447282260be0780eb6e36f5e953bf56888a5688 (patch) | |
tree | 3ba1e976d998d433397343b79a0612af52075aef /apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_q31.c | |
parent | 659543f852d18197f68fafee5db5671567b74f4b (diff) | |
download | px4-firmware-4447282260be0780eb6e36f5e953bf56888a5688.tar.gz px4-firmware-4447282260be0780eb6e36f5e953bf56888a5688.tar.bz2 px4-firmware-4447282260be0780eb6e36f5e953bf56888a5688.zip |
Integrate the interesting parts of the CMSIS 3.01 (r3p1) DSP library
Diffstat (limited to 'apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_q31.c')
-rw-r--r-- | apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_q31.c | 564 |
1 files changed, 564 insertions, 0 deletions
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 new file mode 100644 index 000000000..769b95abb --- /dev/null +++ b/apps/mathlib/CMSIS/DSP_Lib/Source/FilteringFunctions/arm_conv_q31.c @@ -0,0 +1,564 @@ +/* ----------------------------------------------------------------------
+* 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
+ * <b>Scaling and Overflow Behavior:</b>
+ *
+ * \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 <code>arm_conv_fast_q31()</code> 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
+ */
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