358 lines
12 KiB
C
358 lines
12 KiB
C
/* ----------------------------------------------------------------------
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* Project: CMSIS DSP Library
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* Title: arm_mat_mult_q15.c
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* Description: Q15 matrix multiplication
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*
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* $Date: 18. March 2019
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* $Revision: V1.6.0
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*
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* Target Processor: Cortex-M cores
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* -------------------------------------------------------------------- */
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/*
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* Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
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*
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* SPDX-License-Identifier: Apache-2.0
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*
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* Licensed under the Apache License, Version 2.0 (the License); you may
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* not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an AS IS BASIS, WITHOUT
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* WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*/
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#include "arm_math.h"
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/**
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@ingroup groupMatrix
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*/
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/**
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@addtogroup MatrixMult
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@{
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*/
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/**
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@brief Q15 matrix multiplication.
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@param[in] pSrcA points to the first input matrix structure
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@param[in] pSrcB points to the second input matrix structure
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@param[out] pDst points to output matrix structure
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@param[in] pState points to the array for storing intermediate results (Unused)
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@return execution status
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- \ref ARM_MATH_SUCCESS : Operation successful
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- \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
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@par Scaling and Overflow Behavior
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The function is implemented using an internal 64-bit accumulator. The inputs to the
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multiplications are in 1.15 format and multiplications yield a 2.30 result.
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The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
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This approach provides 33 guard bits and there is no risk of overflow.
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The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits
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and then saturated to 1.15 format.
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@par
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Refer to \ref arm_mat_mult_fast_q15() for a faster but less precise version of this function.
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*/
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arm_status arm_mat_mult_q15(
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const arm_matrix_instance_q15 * pSrcA,
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const arm_matrix_instance_q15 * pSrcB,
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arm_matrix_instance_q15 * pDst,
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q15_t * pState)
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{
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q63_t sum; /* Accumulator */
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#if defined (ARM_MATH_DSP) /* != CM0 */
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q15_t *pSrcBT = pState; /* Input data matrix pointer for transpose */
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q15_t *pInA = pSrcA->pData; /* Input data matrix pointer A of Q15 type */
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q15_t *pInB = pSrcB->pData; /* Input data matrix pointer B of Q15 type */
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q15_t *px; /* Temporary output data matrix pointer */
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uint16_t numRowsA = pSrcA->numRows; /* Number of rows of input matrix A */
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uint16_t numColsB = pSrcB->numCols; /* Number of columns of input matrix B */
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uint16_t numColsA = pSrcA->numCols; /* Number of columns of input matrix A */
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uint16_t numRowsB = pSrcB->numRows; /* Number of rows of input matrix A */
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uint32_t col, i = 0U, row = numRowsB, colCnt; /* Loop counters */
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arm_status status; /* Status of matrix multiplication */
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q31_t in; /* Temporary variable to hold the input value */
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q31_t inA1, inB1, inA2, inB2;
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#ifdef ARM_MATH_MATRIX_CHECK
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/* Check for matrix mismatch condition */
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if ((pSrcA->numCols != pSrcB->numRows) ||
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(pSrcA->numRows != pDst->numRows) ||
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(pSrcB->numCols != pDst->numCols) )
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{
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/* Set status as ARM_MATH_SIZE_MISMATCH */
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status = ARM_MATH_SIZE_MISMATCH;
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}
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else
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#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
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{
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/* Matrix transpose */
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do
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{
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/* The pointer px is set to starting address of column being processed */
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px = pSrcBT + i;
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/* Apply loop unrolling and exchange columns with row elements */
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col = numColsB >> 2U;
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/* First part of the processing with loop unrolling. Compute 4 outputs at a time.
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** a second loop below computes the remaining 1 to 3 samples. */
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while (col > 0U)
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{
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/* Read two elements from row */
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in = read_q15x2_ia ((q15_t **) &pInB);
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/* Unpack and store one element in destination */
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#ifndef ARM_MATH_BIG_ENDIAN
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*px = (q15_t) in;
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#else
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*px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
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#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
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/* Update pointer px to point to next row of transposed matrix */
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px += numRowsB;
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/* Unpack and store second element in destination */
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#ifndef ARM_MATH_BIG_ENDIAN
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*px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
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#else
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*px = (q15_t) in;
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#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
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/* Update pointer px to point to next row of transposed matrix */
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px += numRowsB;
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/* Read two elements from row */
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in = read_q15x2_ia ((q15_t **) &pInB);
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/* Unpack and store one element in destination */
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#ifndef ARM_MATH_BIG_ENDIAN
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*px = (q15_t) in;
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#else
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*px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
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#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
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px += numRowsB;
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#ifndef ARM_MATH_BIG_ENDIAN
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*px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
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#else
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*px = (q15_t) in;
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#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
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px += numRowsB;
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/* Decrement column loop counter */
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col--;
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}
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/* If the columns of pSrcB is not a multiple of 4, compute any remaining output samples here.
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** No loop unrolling is used. */
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col = numColsB % 0x4U;
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while (col > 0U)
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{
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/* Read and store input element in destination */
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*px = *pInB++;
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/* Update pointer px to point to next row of transposed matrix */
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px += numRowsB;
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/* Decrement column loop counter */
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col--;
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}
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i++;
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/* Decrement row loop counter */
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row--;
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} while (row > 0U);
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/* Reset variables for usage in following multiplication process */
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row = numRowsA;
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i = 0U;
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px = pDst->pData;
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/* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
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/* row loop */
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do
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{
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/* For every row wise process, column loop counter is to be initiated */
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col = numColsB;
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/* For every row wise process, pIn2 pointer is set to starting address of transposed pSrcB data */
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pInB = pSrcBT;
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/* column loop */
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do
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{
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/* Set variable sum, that acts as accumulator, to zero */
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sum = 0;
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/* Initiate pointer pInA to point to starting address of column being processed */
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pInA = pSrcA->pData + i;
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/* Apply loop unrolling and compute 2 MACs simultaneously. */
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colCnt = numColsA >> 2U;
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/* matrix multiplication */
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while (colCnt > 0U)
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{
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/* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
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/* read real and imag values from pSrcA and pSrcB buffer */
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inA1 = read_q15x2_ia ((q15_t **) &pInA);
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inB1 = read_q15x2_ia ((q15_t **) &pInB);
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inA2 = read_q15x2_ia ((q15_t **) &pInA);
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inB2 = read_q15x2_ia ((q15_t **) &pInB);
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/* Multiply and Accumlates */
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sum = __SMLALD(inA1, inB1, sum);
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sum = __SMLALD(inA2, inB2, sum);
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/* Decrement loop counter */
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colCnt--;
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}
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/* process remaining column samples */
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colCnt = numColsA % 0x4U;
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while (colCnt > 0U)
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{
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/* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
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sum += *pInA++ * *pInB++;
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/* Decrement loop counter */
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colCnt--;
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}
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/* Saturate and store result in destination buffer */
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*px = (q15_t) (__SSAT((sum >> 15), 16));
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px++;
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/* Decrement column loop counter */
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col--;
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} while (col > 0U);
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i = i + numColsA;
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/* Decrement row loop counter */
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row--;
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} while (row > 0U);
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#else /* #if defined (ARM_MATH_DSP) */
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q15_t *pIn1 = pSrcA->pData; /* Input data matrix pointer A */
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q15_t *pIn2 = pSrcB->pData; /* Input data matrix pointer B */
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q15_t *pInA = pSrcA->pData; /* Input data matrix pointer A of Q15 type */
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q15_t *pInB = pSrcB->pData; /* Input data matrix pointer B of Q15 type */
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q15_t *pOut = pDst->pData; /* Output data matrix pointer */
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q15_t *px; /* Temporary output data matrix pointer */
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uint16_t numColsB = pSrcB->numCols; /* Number of columns of input matrix B */
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uint16_t numColsA = pSrcA->numCols; /* Number of columns of input matrix A */
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uint16_t numRowsA = pSrcA->numRows; /* Number of rows of input matrix A */
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uint32_t col, i = 0U, row = numRowsA, colCnt; /* Loop counters */
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arm_status status; /* Status of matrix multiplication */
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#ifdef ARM_MATH_MATRIX_CHECK
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/* Check for matrix mismatch condition */
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if ((pSrcA->numCols != pSrcB->numRows) ||
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(pSrcA->numRows != pDst->numRows) ||
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(pSrcB->numCols != pDst->numCols) )
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{
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/* Set status as ARM_MATH_SIZE_MISMATCH */
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status = ARM_MATH_SIZE_MISMATCH;
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}
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else
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#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
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{
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/* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
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/* row loop */
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do
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{
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/* Output pointer is set to starting address of the row being processed */
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px = pOut + i;
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/* For every row wise process, column loop counter is to be initiated */
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col = numColsB;
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/* For every row wise process, pIn2 pointer is set to starting address of pSrcB data */
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pIn2 = pSrcB->pData;
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/* column loop */
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do
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{
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/* Set the variable sum, that acts as accumulator, to zero */
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sum = 0;
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/* Initiate pointer pIn1 to point to starting address of pSrcA */
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pIn1 = pInA;
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/* Matrix A columns number of MAC operations are to be performed */
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colCnt = numColsA;
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/* matrix multiplication */
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while (colCnt > 0U)
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{
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/* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
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/* Perform multiply-accumulates */
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sum += (q31_t) * pIn1++ * *pIn2;
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pIn2 += numColsB;
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/* Decrement loop counter */
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colCnt--;
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}
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/* Convert result from 34.30 to 1.15 format and store saturated value in destination buffer */
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/* Saturate and store result in destination buffer */
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*px++ = (q15_t) __SSAT((sum >> 15), 16);
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/* Decrement column loop counter */
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col--;
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/* Update pointer pIn2 to point to starting address of next column */
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pIn2 = pInB + (numColsB - col);
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} while (col > 0U);
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/* Update pointer pSrcA to point to starting address of next row */
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i = i + numColsB;
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pInA = pInA + numColsA;
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/* Decrement row loop counter */
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row--;
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} while (row > 0U);
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#endif /* #if defined (ARM_MATH_DSP) */
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/* Set status as ARM_MATH_SUCCESS */
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status = ARM_MATH_SUCCESS;
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}
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/* Return to application */
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return (status);
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}
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/**
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@} end of MatrixMult group
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*/
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