| /* ---------------------------------------------------------------------- |
| * Project: CMSIS DSP Library |
| * Title: arm_cmplx_mat_mult_q15.c |
| * Description: Q15 complex matrix multiplication |
| * |
| * $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 groupMatrix |
| */ |
| |
| /** |
| @addtogroup CmplxMatrixMult |
| @{ |
| */ |
| |
| /** |
| @brief Q15 Complex matrix multiplication. |
| @param[in] pSrcA points to first input complex matrix structure |
| @param[in] pSrcB points to second input complex matrix structure |
| @param[out] pDst points to output complex matrix structure |
| @param[in] pScratch points to an array for storing intermediate results |
| @return execution status |
| - \ref ARM_MATH_SUCCESS : Operation successful |
| - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed |
| |
| @par Conditions for optimum performance |
| Input, output and state buffers should be aligned by 32-bit |
| |
| @par Scaling and Overflow Behavior |
| The function is implemented using an internal 64-bit 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. |
| */ |
| #if defined(ARM_MATH_MVEI) |
| |
| #define MVE_ASRL_SAT16(acc, shift) ((sqrshrl_sat48(acc, -(32-shift)) >> 32) & 0xffffffff) |
| |
| arm_status arm_mat_cmplx_mult_q15( |
| const arm_matrix_instance_q15 * pSrcA, |
| const arm_matrix_instance_q15 * pSrcB, |
| arm_matrix_instance_q15 * pDst, |
| q15_t * pScratch) |
| { |
| q15_t const *pInA = (q15_t const *) pSrcA->pData; /* input data matrix pointer A of Q15 type */ |
| q15_t const *pInB = (q15_t const *) pSrcB->pData; /* input data matrix pointer B of Q15 type */ |
| q15_t const *pInB2; |
| q15_t *px; /* Temporary output data matrix pointer */ |
| uint32_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */ |
| uint32_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */ |
| uint32_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */ |
| uint32_t numRowsB = pSrcB->numRows; /* number of rows of input matrix A */ |
| uint32_t col, i = 0u, j, row = numRowsB; /* loop counters */ |
| uint32_t blkCnt; /* loop counters */ |
| uint16x8_t vecOffs, vecColBOffs; |
| arm_status status; /* Status of matrix multiplication */ |
| (void)pScratch; |
| |
| #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 */ |
| |
| { |
| vecColBOffs[0] = 0; |
| vecColBOffs[1] = 1; |
| vecColBOffs[2] = numColsB * CMPLX_DIM; |
| vecColBOffs[3] = (numColsB * CMPLX_DIM) + 1; |
| vecColBOffs[4] = 2 * numColsB * CMPLX_DIM; |
| vecColBOffs[5] = 2 * (numColsB * CMPLX_DIM) + 1; |
| vecColBOffs[6] = 3 * numColsB * CMPLX_DIM; |
| vecColBOffs[7] = 3 * (numColsB * CMPLX_DIM) + 1; |
| |
| /* |
| * Reset the variables for the usage in the following multiplication process |
| */ |
| i = 0; |
| row = numRowsA; |
| px = pDst->pData; |
| |
| /* |
| * The following loop performs the dot-product of each row in pSrcA with each column in pSrcB |
| */ |
| |
| /* |
| * row loop |
| */ |
| while (row > 0u) |
| { |
| /* |
| * For every row wise process, the column loop counter is to be initiated |
| */ |
| col = numColsB >> 1; |
| j = 0; |
| /* |
| * column loop |
| */ |
| while (col > 0u) |
| { |
| q15_t const *pSrcAVec; |
| //, *pSrcBVec, *pSrcB2Vec; |
| q15x8_t vecA, vecB, vecB2; |
| q63_t acc0, acc1, acc2, acc3; |
| |
| /* |
| * Initiate the pointer pIn1 to point to the starting address of the column being processed |
| */ |
| pInA = pSrcA->pData + i; |
| pInB = pSrcB->pData + j; |
| pInB2 = pInB + CMPLX_DIM; |
| |
| j += 2 * CMPLX_DIM; |
| /* |
| * Decrement the column loop counter |
| */ |
| col--; |
| |
| /* |
| * Initiate the pointers |
| * - current Matrix A rows |
| * - 2 x consecutive Matrix B' rows (j increment is 2 x numRowsB) |
| */ |
| pSrcAVec = (q15_t const *) pInA; |
| |
| acc0 = 0LL; |
| acc1 = 0LL; |
| acc2 = 0LL; |
| acc3 = 0LL; |
| |
| vecOffs = vecColBOffs; |
| |
| |
| blkCnt = (numColsA * CMPLX_DIM) >> 3; |
| while (blkCnt > 0U) |
| { |
| vecA = vld1q(pSrcAVec); |
| pSrcAVec += 8; |
| vecB = vldrhq_gather_shifted_offset(pInB, vecOffs); |
| |
| acc0 = vmlsldavaq(acc0, vecA, vecB); |
| acc1 = vmlaldavaxq(acc1, vecA, vecB); |
| vecB2 = vldrhq_gather_shifted_offset(pInB2, vecOffs); |
| /* |
| * move Matrix B read offsets, 4 rows down |
| */ |
| vecOffs = vaddq(vecOffs, (uint16_t) (numColsB * 4 * CMPLX_DIM)); |
| |
| acc2 = vmlsldavaq(acc2, vecA, vecB2); |
| acc3 = vmlaldavaxq(acc3, vecA, vecB2); |
| |
| blkCnt--; |
| } |
| |
| /* |
| * tail |
| */ |
| blkCnt = (numColsA * CMPLX_DIM) & 7; |
| if (blkCnt > 0U) |
| { |
| mve_pred16_t p0 = vctp16q(blkCnt); |
| vecB = vldrhq_gather_shifted_offset(pInB, vecOffs); |
| |
| vecA = vldrhq_z_s16(pSrcAVec, p0); |
| |
| acc0 = vmlsldavaq(acc0, vecA, vecB); |
| acc1 = vmlaldavaxq(acc1, vecA, vecB); |
| vecB2 = vldrhq_gather_shifted_offset(pInB2, vecOffs); |
| |
| /* |
| * move Matrix B read offsets, 4 rows down |
| */ |
| vecOffs = vaddq(vecOffs, (uint16_t) (numColsB * 4 * CMPLX_DIM)); |
| |
| acc2 = vmlsldavaq(acc2, vecA, vecB2); |
| acc3 = vmlaldavaxq(acc3, vecA, vecB2); |
| |
| } |
| /* |
| * Convert to 1.15, Store the results (1 x 2 block) in the destination buffer |
| */ |
| *px++ = (q15_t)MVE_ASRL_SAT16(acc0, 15); |
| *px++ = (q15_t)MVE_ASRL_SAT16(acc1, 15); |
| *px++ = (q15_t)MVE_ASRL_SAT16(acc2, 15); |
| *px++ = (q15_t)MVE_ASRL_SAT16(acc3, 15); |
| } |
| |
| col = numColsB & 1; |
| /* |
| * column loop |
| */ |
| while (col > 0u) |
| { |
| |
| q15_t const *pSrcAVec; |
| //, *pSrcBVec, *pSrcB2Vec; |
| q15x8_t vecA, vecB; |
| q63_t acc0, acc1; |
| |
| /* |
| * Initiate the pointer pIn1 to point to the starting address of the column being processed |
| */ |
| pInA = pSrcA->pData + i; |
| pInB = pSrcB->pData + j; |
| |
| j += CMPLX_DIM; |
| /* |
| * Decrement the column loop counter |
| */ |
| col--; |
| |
| /* |
| * Initiate the pointers |
| * - current Matrix A rows |
| * - 2 x consecutive Matrix B' rows (j increment is 2 x numRowsB) |
| */ |
| pSrcAVec = (q15_t const *) pInA; |
| |
| acc0 = 0LL; |
| acc1 = 0LL; |
| |
| |
| vecOffs = vecColBOffs; |
| |
| |
| |
| blkCnt = (numColsA * CMPLX_DIM) >> 3; |
| while (blkCnt > 0U) |
| { |
| vecA = vld1q(pSrcAVec); |
| pSrcAVec += 8; |
| vecB = vldrhq_gather_shifted_offset(pInB, vecOffs); |
| |
| acc0 = vmlsldavaq(acc0, vecA, vecB); |
| acc1 = vmlaldavaxq(acc1, vecA, vecB); |
| /* |
| * move Matrix B read offsets, 4 rows down |
| */ |
| vecOffs = vaddq(vecOffs, (uint16_t) (numColsB * 4 * CMPLX_DIM)); |
| |
| blkCnt--; |
| } |
| |
| /* |
| * tail |
| */ |
| blkCnt = (numColsA * CMPLX_DIM) & 7; |
| if (blkCnt > 0U) |
| { |
| mve_pred16_t p0 = vctp16q(blkCnt); |
| vecB = vldrhq_gather_shifted_offset(pInB, vecOffs); |
| vecA = vldrhq_z_s16(pSrcAVec, p0); |
| |
| acc0 = vmlsldavaq(acc0, vecA, vecB); |
| acc1 = vmlaldavaxq(acc1, vecA, vecB); |
| |
| } |
| /* |
| * Convert to 1.15, Store the results (1 x 2 block) in the destination buffer |
| */ |
| *px++ = (q15_t)MVE_ASRL_SAT16(acc0, 15); |
| *px++ = (q15_t)MVE_ASRL_SAT16(acc1, 15); |
| |
| } |
| |
| i = i + numColsA * CMPLX_DIM; |
| |
| /* |
| * Decrement the row loop counter |
| */ |
| row--; |
| } |
| |
| |
| status = ARM_MATH_SUCCESS; |
| } |
| |
| /* Return to application */ |
| return (status); |
| } |
| #else |
| arm_status arm_mat_cmplx_mult_q15( |
| const arm_matrix_instance_q15 * pSrcA, |
| const arm_matrix_instance_q15 * pSrcB, |
| arm_matrix_instance_q15 * pDst, |
| q15_t * pScratch) |
| { |
| q15_t *pSrcBT = pScratch; /* 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 */ |
| q63_t sumReal, sumImag; /* accumulator */ |
| uint32_t col, i = 0U, row = numRowsB, colCnt; /* Loop counters */ |
| arm_status status; /* Status of matrix multiplication */ |
| |
| #if defined (ARM_MATH_DSP) |
| q31_t prod1, prod2; |
| q31_t pSourceA, pSourceB; |
| #else |
| q15_t a, b, c, d; |
| #endif /* #if defined (ARM_MATH_DSP) */ |
| |
| #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 |
| { |
| /* The pointer px is set to starting address of column being processed */ |
| px = pSrcBT + i; |
| |
| #if defined (ARM_MATH_LOOPUNROLL) |
| |
| /* Apply loop unrolling and exchange the columns with row elements */ |
| col = numColsB >> 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 (col > 0U) |
| { |
| /* Read two elements from row */ |
| write_q15x2 (px, read_q15x2_ia (&pInB)); |
| |
| /* Update pointer px to point to next row of transposed matrix */ |
| px += numRowsB * 2; |
| |
| /* Read two elements from row */ |
| write_q15x2 (px, read_q15x2_ia (&pInB)); |
| |
| /* Update pointer px to point to next row of transposed matrix */ |
| px += numRowsB * 2; |
| |
| /* Read two elements from row */ |
| write_q15x2 (px, read_q15x2_ia (&pInB)); |
| |
| /* Update pointer px to point to next row of transposed matrix */ |
| px += numRowsB * 2; |
| |
| /* Read two elements from row */ |
| write_q15x2 (px, read_q15x2_ia (&pInB)); |
| |
| /* Update pointer px to point to next row of transposed matrix */ |
| px += numRowsB * 2; |
| |
| /* Decrement 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; |
| |
| #else |
| |
| /* Initialize blkCnt with number of samples */ |
| col = numColsB; |
| |
| #endif /* #if defined (ARM_MATH_LOOPUNROLL) */ |
| |
| while (col > 0U) |
| { |
| /* Read two elements from row */ |
| write_q15x2 (px, read_q15x2_ia (&pInB)); |
| |
| /* Update pointer px to point to next row of transposed matrix */ |
| px += numRowsB * 2; |
| |
| /* Decrement column loop counter */ |
| col--; |
| } |
| |
| i = i + 2U; |
| |
| /* Decrement row loop counter */ |
| row--; |
| |
| } while (row > 0U); |
| |
| /* Reset variables for usage in 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, column loop counter is to be initiated */ |
| col = numColsB; |
| |
| /* For every row wise process, pIn2 pointer is set to starting address of transposed pSrcB data */ |
| pInB = pSrcBT; |
| |
| /* column loop */ |
| do |
| { |
| /* Set variable sum, that acts as accumulator, to zero */ |
| sumReal = 0; |
| sumImag = 0; |
| |
| /* Initiate pointer pInA to point to starting address of column being processed */ |
| pInA = pSrcA->pData + i * 2; |
| |
| /* Apply loop unrolling and compute 2 MACs simultaneously. */ |
| colCnt = numColsA >> 1U; |
| |
| /* 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) */ |
| |
| #if defined (ARM_MATH_DSP) |
| |
| /* read real and imag values from pSrcA and pSrcB buffer */ |
| pSourceA = read_q15x2_ia ((q15_t **) &pInA); |
| pSourceB = read_q15x2_ia ((q15_t **) &pInB); |
| |
| /* Multiply and Accumlates */ |
| #ifdef ARM_MATH_BIG_ENDIAN |
| prod1 = -__SMUSD(pSourceA, pSourceB); |
| #else |
| prod1 = __SMUSD(pSourceA, pSourceB); |
| #endif |
| prod2 = __SMUADX(pSourceA, pSourceB); |
| sumReal += (q63_t) prod1; |
| sumImag += (q63_t) prod2; |
| |
| /* read real and imag values from pSrcA and pSrcB buffer */ |
| pSourceA = read_q15x2_ia ((q15_t **) &pInA); |
| pSourceB = read_q15x2_ia ((q15_t **) &pInB); |
| |
| /* Multiply and Accumlates */ |
| #ifdef ARM_MATH_BIG_ENDIAN |
| prod1 = -__SMUSD(pSourceA, pSourceB); |
| #else |
| prod1 = __SMUSD(pSourceA, pSourceB); |
| #endif |
| prod2 = __SMUADX(pSourceA, pSourceB); |
| sumReal += (q63_t) prod1; |
| sumImag += (q63_t) prod2; |
| |
| #else /* #if defined (ARM_MATH_DSP) */ |
| |
| /* read real and imag values from pSrcA buffer */ |
| a = *pInA; |
| b = *(pInA + 1U); |
| /* read real and imag values from pSrcB buffer */ |
| c = *pInB; |
| d = *(pInB + 1U); |
| |
| /* Multiply and Accumlates */ |
| sumReal += (q31_t) a *c; |
| sumImag += (q31_t) a *d; |
| sumReal -= (q31_t) b *d; |
| sumImag += (q31_t) b *c; |
| |
| /* read next real and imag values from pSrcA buffer */ |
| a = *(pInA + 2U); |
| b = *(pInA + 3U); |
| /* read next real and imag values from pSrcB buffer */ |
| c = *(pInB + 2U); |
| d = *(pInB + 3U); |
| |
| /* update pointer */ |
| pInA += 4U; |
| |
| /* Multiply and Accumlates */ |
| sumReal += (q31_t) a * c; |
| sumImag += (q31_t) a * d; |
| sumReal -= (q31_t) b * d; |
| sumImag += (q31_t) b * c; |
| /* update pointer */ |
| pInB += 4U; |
| |
| #endif /* #if defined (ARM_MATH_DSP) */ |
| |
| /* Decrement loop counter */ |
| colCnt--; |
| } |
| |
| /* process odd column samples */ |
| if ((numColsA & 0x1U) > 0U) |
| { |
| /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */ |
| |
| #if defined (ARM_MATH_DSP) |
| /* read real and imag values from pSrcA and pSrcB buffer */ |
| pSourceA = read_q15x2_ia ((q15_t **) &pInA); |
| pSourceB = read_q15x2_ia ((q15_t **) &pInB); |
| |
| /* Multiply and Accumlates */ |
| #ifdef ARM_MATH_BIG_ENDIAN |
| prod1 = -__SMUSD(pSourceA, pSourceB); |
| #else |
| prod1 = __SMUSD(pSourceA, pSourceB); |
| #endif |
| prod2 = __SMUADX(pSourceA, pSourceB); |
| sumReal += (q63_t) prod1; |
| sumImag += (q63_t) prod2; |
| |
| #else /* #if defined (ARM_MATH_DSP) */ |
| |
| /* read real and imag values from pSrcA and pSrcB buffer */ |
| a = *pInA++; |
| b = *pInA++; |
| c = *pInB++; |
| d = *pInB++; |
| |
| /* Multiply and Accumlates */ |
| sumReal += (q31_t) a * c; |
| sumImag += (q31_t) a * d; |
| sumReal -= (q31_t) b * d; |
| sumImag += (q31_t) b * c; |
| |
| #endif /* #if defined (ARM_MATH_DSP) */ |
| |
| } |
| |
| /* Saturate and store result in destination buffer */ |
| *px++ = (q15_t) (__SSAT(sumReal >> 15, 16)); |
| *px++ = (q15_t) (__SSAT(sumImag >> 15, 16)); |
| |
| /* Decrement column loop counter */ |
| col--; |
| |
| } while (col > 0U); |
| |
| i = i + numColsA; |
| |
| /* Decrement row loop counter */ |
| row--; |
| |
| } while (row > 0U); |
| |
| /* Set status as ARM_MATH_SUCCESS */ |
| status = ARM_MATH_SUCCESS; |
| } |
| |
| /* Return to application */ |
| return (status); |
| } |
| #endif /* defined(ARM_MATH_MVEI) */ |
| |
| /** |
| @} end of MatrixMult group |
| */ |