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+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_conv_partial_f32.c
+ * Description: Partial convolution of floating-point sequences
+ *
+ * $Date: 18. March 2019
+ * $Revision: V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#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.
+ <code>firstIndex</code> specifies the starting index of the subset of output samples.
+ <code>numPoints</code> is the number of output samples to compute.
+ The function computes the output in the range
+ <code>[firstIndex, ..., firstIndex+numPoints-1]</code>.
+ The output array <code>pDst</code> contains <code>numPoints</code> 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 to \ref arm_conv_f32() for details on fixed point behavior.
+
+ @par Fast Versions
+ 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.
+
+ @par Opt Versions
+ 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 execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_ARGUMENT_ERROR : requested subset is not in the range [0 srcALen+srcBLen-2]
+ */
+
+arm_status arm_conv_partial_f32(
+ const float32_t * pSrcA,
+ uint32_t srcALen,
+ const float32_t * pSrcB,
+ uint32_t srcBLen,
+ float32_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints)
+{
+
+#if (1)
+//#if !defined(ARM_MATH_CM0_FAMILY)
+
+ const float32_t *pIn1 = pSrcA; /* InputA pointer */
+ const float32_t *pIn2 = pSrcB; /* InputB pointer */
+ float32_t *pOut = pDst; /* Output pointer */
+ const float32_t *px; /* Intermediate inputA pointer */
+ const float32_t *py; /* Intermediate inputB pointer */
+ const float32_t *pSrc1, *pSrc2; /* Intermediate pointers */
+ float32_t sum; /* Accumulator */
+ uint32_t j, k, count, blkCnt, check;
+ int32_t blockSize1, blockSize2, blockSize3; /* Loop counters */
+ arm_status status; /* Status of Partial convolution */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ float32_t acc0, acc1, acc2, acc3; /* Accumulator */
+ float32_t x0, x1, x2, x3, c0; /* Temporary variables */
+#endif
+
+ /* 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) ? (int32_t)check - (int32_t)srcALen : 0;
+ blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
+ 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 */
+ pSrc1 = pIn2 + firstIndex;
+ py = pSrc1;
+
+ /* ------------------------
+ * Stage1 process
+ * ----------------------*/
+
+ /* The first stage starts here */
+ while (blockSize1 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0.0f;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = count >> 2U;
+
+ 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 loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = count % 0x4U;
+
+#else
+
+ /* Initialize k with number of samples */
+ k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += *px++ * *py--;
+
+ /* Decrement 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 MAC count */
+ count++;
+
+ /* Decrement 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 */
+ if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
+ {
+ pSrc1 = pIn1 + firstIndex - srcBLen + 1;
+ }
+ else
+ {
+ pSrc1 = pIn1;
+ }
+ px = pSrc1;
+
+ /* 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)
+ {
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ 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-accumulate */
+ /* 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-accumulate */
+ /* 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 = pSrc1 + count;
+ py = pSrc2;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = (uint32_t) blockSize2 % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = blockSize2;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (blkCnt > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0.0f;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = srcBLen >> 2U;
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulates */
+ sum += *px++ * *py--;
+ sum += *px++ * *py--;
+ sum += *px++ * *py--;
+ sum += *px++ * *py--;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = srcBLen % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = srcBLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ sum += *px++ * *py--;
+
+ /* Decrement loop counter */
+ k--;
+ }
+
+ /* Store the result in the accumulator in the destination buffer. */
+ *pOut++ = sum;
+
+ /* Increment MAC count */
+ count++;
+
+ /* Update the inputA and inputB pointers for next MAC calculation */
+ px = pSrc1 + count;
+ py = pSrc2;
+
+ /* Decrement 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 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 = pSrc1 + 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 > 0U)
+ {
+ /* Accumulator is made zero for every iteration */
+ sum = 0.0f;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ k = count >> 2U;
+
+ 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 loop counter */
+ k--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ k = count % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (k > 0U)
+ {
+ /* Perform the multiply-accumulate */
+ /* sum += x[srcALen-1] * y[srcBLen-1] */
+ sum += *px++ * *py--;
+
+ /* Decrement 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 MAC count */
+ count--;
+
+ /* Decrement the loop counter */
+ blockSize3--;
+ }
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+
+#else
+/* alternate version for CM0_FAMILY */
+
+ const float32_t *pIn1 = pSrcA; /* InputA pointer */
+ const 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_MATH_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 */
+ 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 */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+
+/**
+ @} end of PartialConv group
+ */