| /* ---------------------------------------------------------------------- |
| * Project: CMSIS DSP Library |
| * Title: arm_mat_mult_fast_q31.c |
| * Description: Q31 matrix multiplication (fast variant) |
| * |
| * $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 MatrixMult |
| @{ |
| */ |
| |
| /** |
| @brief Q31 matrix multiplication (fast variant). |
| @param[in] pSrcA points to the first input matrix structure |
| @param[in] pSrcB points to the second input matrix structure |
| @param[out] pDst points to output matrix structure |
| @return execution status |
| - \ref ARM_MATH_SUCCESS : Operation successful |
| - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed |
| |
| @par Scaling and Overflow Behavior |
| The difference between the function \ref arm_mat_mult_q31() and this fast variant is that |
| the fast variant use a 32-bit rather than a 64-bit accumulator. |
| The result of each 1.31 x 1.31 multiplication is truncated to |
| 2.30 format. These intermediate results are accumulated in a 32-bit register in 2.30 |
| format. Finally, the accumulator is saturated and converted to a 1.31 result. |
| @par |
| The fast version has the same overflow behavior as the standard version but provides |
| less precision since it discards the low 32 bits of each multiplication result. |
| In order to avoid overflows completely the input signals must be scaled down. |
| Scale down one of the input matrices by log2(numColsA) bits to avoid overflows, |
| as a total of numColsA additions are computed internally for each output element. |
| @remark |
| Refer to \ref arm_mat_mult_q31() for a slower implementation of this function |
| which uses 64-bit accumulation to provide higher precision. |
| */ |
| |
| arm_status arm_mat_mult_fast_q31( |
| const arm_matrix_instance_q31 * pSrcA, |
| const arm_matrix_instance_q31 * pSrcB, |
| arm_matrix_instance_q31 * pDst) |
| { |
| q31_t *pInA = pSrcA->pData; /* Input data matrix pointer A */ |
| q31_t *pInB = pSrcB->pData; /* Input data matrix pointer B */ |
| q31_t *pInA2; |
| q31_t *px; /* Temporary output data matrix pointer */ |
| q31_t *px2; |
| q31_t sum1, sum2, sum3, sum4; /* Accumulator */ |
| q31_t inA1, inA2, inB1, inB2; |
| 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 */ |
| uint32_t col, i = 0U, j, row = numRowsA, colCnt; /* Loop counters */ |
| arm_status status; /* Status of matrix multiplication */ |
| |
| |
| #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 */ |
| |
| { |
| px = pDst->pData; |
| |
| row = row >> 1U; |
| px2 = px + numColsB; |
| |
| /* 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, column loop counter is to be initiated */ |
| col = numColsB; |
| |
| /* For every row wise process, pIn2 pointer is set to starting address of pSrcB data */ |
| pInB = pSrcB->pData; |
| |
| j = 0U; |
| |
| col = col >> 1U; |
| |
| /* column loop */ |
| while (col > 0U) |
| { |
| /* Set the variable sum, that acts as accumulator, to zero */ |
| sum1 = 0; |
| sum2 = 0; |
| sum3 = 0; |
| sum4 = 0; |
| |
| /* Initiate data pointers */ |
| pInA = pSrcA->pData + i; |
| pInB = pSrcB->pData + j; |
| pInA2 = pInA + numColsA; |
| |
| colCnt = numColsA; |
| |
| /* 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) */ |
| |
| inA1 = *pInA++; |
| inB1 = pInB[0]; |
| inA2 = *pInA2++; |
| inB2 = pInB[1]; |
| pInB += numColsB; |
| |
| #if defined (ARM_MATH_DSP) |
| sum1 = __SMMLA(inA1, inB1, sum1); |
| sum2 = __SMMLA(inA1, inB2, sum2); |
| sum3 = __SMMLA(inA2, inB1, sum3); |
| sum4 = __SMMLA(inA2, inB2, sum4); |
| #else |
| sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) inA1 * inB1)) >> 32); |
| sum2 = (q31_t) ((((q63_t) sum2 << 32) + ((q63_t) inA1 * inB2)) >> 32); |
| sum3 = (q31_t) ((((q63_t) sum3 << 32) + ((q63_t) inA2 * inB1)) >> 32); |
| sum4 = (q31_t) ((((q63_t) sum4 << 32) + ((q63_t) inA2 * inB2)) >> 32); |
| #endif |
| |
| /* Decrement loop counter */ |
| colCnt--; |
| } |
| |
| /* Convert the result from 2.30 to 1.31 format and store in destination buffer */ |
| *px++ = sum1 << 1; |
| *px++ = sum2 << 1; |
| *px2++ = sum3 << 1; |
| *px2++ = sum4 << 1; |
| |
| j += 2; |
| |
| /* Decrement column loop counter */ |
| col--; |
| } |
| |
| i = i + (numColsA << 1U); |
| px = px2 + (numColsB & 1U); |
| px2 = px + numColsB; |
| |
| /* Decrement row loop counter */ |
| row--; |
| } |
| |
| /* Compute any remaining odd row/column below */ |
| |
| /* Compute remaining output column */ |
| if (numColsB & 1U) { |
| |
| /* Avoid redundant computation of last element */ |
| row = numRowsA & (~1U); |
| |
| /* Point to remaining unfilled column in output matrix */ |
| px = pDst->pData + numColsB-1; |
| pInA = pSrcA->pData; |
| |
| /* row loop */ |
| while (row > 0) |
| { |
| |
| /* point to last column in matrix B */ |
| pInB = pSrcB->pData + numColsB-1; |
| |
| /* Set variable sum1, that acts as accumulator, to zero */ |
| sum1 = 0; |
| |
| #if defined (ARM_MATH_LOOPUNROLL) |
| |
| /* Loop unrolling: Compute 4 columns at a time. */ |
| colCnt = numColsA >> 2U; |
| |
| /* matrix multiplication */ |
| while (colCnt > 0U) |
| { |
| #if defined (ARM_MATH_DSP) |
| sum1 = __SMMLA(*pInA++, *pInB, sum1); |
| #else |
| sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) *pInA++ * *pInB)) >> 32); |
| #endif |
| pInB += numColsB; |
| |
| #if defined (ARM_MATH_DSP) |
| sum1 = __SMMLA(*pInA++, *pInB, sum1); |
| #else |
| sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) *pInA++ * *pInB)) >> 32); |
| #endif |
| pInB += numColsB; |
| |
| #if defined (ARM_MATH_DSP) |
| sum1 = __SMMLA(*pInA++, *pInB, sum1); |
| #else |
| sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) *pInA++ * *pInB)) >> 32); |
| #endif |
| pInB += numColsB; |
| |
| #if defined (ARM_MATH_DSP) |
| sum1 = __SMMLA(*pInA++, *pInB, sum1); |
| #else |
| sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) *pInA++ * *pInB)) >> 32); |
| #endif |
| pInB += numColsB; |
| |
| /* Decrement loop counter */ |
| colCnt--; |
| } |
| |
| /* Loop unrolling: Compute remaining column */ |
| colCnt = numColsA % 4U; |
| |
| #else |
| |
| /* Initialize colCnt with number of columns */ |
| colCnt = numColsA; |
| |
| #endif /* #if defined (ARM_MATH_LOOPUNROLL) */ |
| |
| while (colCnt > 0U) { |
| #if defined (ARM_MATH_DSP) |
| sum1 = __SMMLA(*pInA++, *pInB, sum1); |
| #else |
| sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) *pInA++ * *pInB)) >> 32); |
| #endif |
| pInB += numColsB; |
| |
| colCnt--; |
| } |
| |
| /* Convert the result from 2.30 to 1.31 format and store in destination buffer */ |
| *px = sum1 << 1; |
| px += numColsB; |
| |
| /* Decrement row loop counter */ |
| row--; |
| } |
| } |
| |
| /* Compute remaining output row */ |
| if (numRowsA & 1U) { |
| |
| /* point to last row in output matrix */ |
| px = pDst->pData + (numColsB) * (numRowsA-1); |
| |
| col = numColsB; |
| i = 0U; |
| |
| /* col loop */ |
| while (col > 0) |
| { |
| |
| /* point to last row in matrix A */ |
| pInA = pSrcA->pData + (numRowsA-1) * numColsA; |
| pInB = pSrcB->pData + i; |
| |
| /* Set variable sum1, that acts as accumulator, to zero */ |
| sum1 = 0; |
| |
| #if defined (ARM_MATH_LOOPUNROLL) |
| |
| /* Loop unrolling: Compute 4 columns at a time. */ |
| colCnt = numColsA >> 2U; |
| |
| /* matrix multiplication */ |
| while (colCnt > 0U) |
| { |
| inA1 = *pInA++; |
| inA2 = *pInA++; |
| inB1 = *pInB; |
| pInB += numColsB; |
| inB2 = *pInB; |
| pInB += numColsB; |
| #if defined (ARM_MATH_DSP) |
| sum1 = __SMMLA(inA1, inB1, sum1); |
| sum1 = __SMMLA(inA2, inB2, sum1); |
| #else |
| sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) inA1 * inB1)) >> 32); |
| sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) inA2 * inB2)) >> 32); |
| #endif |
| |
| inA1 = *pInA++; |
| inA2 = *pInA++; |
| inB1 = *pInB; |
| pInB += numColsB; |
| inB2 = *pInB; |
| pInB += numColsB; |
| #if defined (ARM_MATH_DSP) |
| sum1 = __SMMLA(inA1, inB1, sum1); |
| sum1 = __SMMLA(inA2, inB2, sum1); |
| #else |
| sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) inA1 * inB1)) >> 32); |
| sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) inA2 * inB2)) >> 32); |
| #endif |
| |
| /* Decrement loop counter */ |
| colCnt--; |
| } |
| |
| /* Loop unrolling: Compute remaining column */ |
| colCnt = numColsA % 4U; |
| |
| #else |
| |
| /* Initialize colCnt with number of columns */ |
| colCnt = numColsA; |
| |
| #endif /* #if defined (ARM_MATH_LOOPUNROLL) */ |
| |
| while (colCnt > 0U) { |
| #if defined (ARM_MATH_DSP) |
| sum1 = __SMMLA(*pInA++, *pInB, sum1); |
| #else |
| sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) *pInA++ * *pInB)) >> 32); |
| #endif |
| pInB += numColsB; |
| |
| colCnt--; |
| } |
| |
| /* Saturate and store the result in the destination buffer */ |
| *px++ = sum1 << 1; |
| i++; |
| |
| /* Decrement col loop counter */ |
| col--; |
| } |
| } |
| |
| /* Set status as ARM_MATH_SUCCESS */ |
| status = ARM_MATH_SUCCESS; |
| } |
| |
| /* Return to application */ |
| return (status); |
| } |
| |
| /** |
| @} end of MatrixMult group |
| */ |
