/* ---------------------------------------------------------------------- * Project: CMSIS DSP Library * Title: arm_correlate_opt_q7.c * Description: Correlation of Q7 sequences * * $Date: 27. January 2017 * $Revision: V.1.5.1 * * Target Processor: Cortex-M cores * -------------------------------------------------------------------- */ /* * Copyright (C) 2010-2017 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 */ /** * @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 */