/* ---------------------------------------------------------------------- * Copyright (C) 2010 ARM Limited. All rights reserved. * * $Date: 29. November 2010 * $Revision: V1.0.3 * * Project: CMSIS DSP Library * Title: arm_mat_mult_q15.c * * Description: Q15 matrix multiplication. * * Target Processor: Cortex-M4/Cortex-M3 * * Version 1.0.3 2010/11/29 * Re-organized the CMSIS folders and updated documentation. * * Version 1.0.2 2010/11/11 * Documentation updated. * * Version 1.0.1 2010/10/05 * Production release and review comments incorporated. * * Version 1.0.0 2010/09/20 * Production release and review comments incorporated. * * Version 0.0.5 2010/04/26 * incorporated review comments and updated with latest CMSIS layer * * Version 0.0.3 2010/03/10 * Initial version * -------------------------------------------------------------------- */ #include "arm_math.h" /** * @ingroup groupMatrix */ /** * @addtogroup MatrixMult * @{ */ /** * @brief Q15 matrix multiplication * @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 * @param[in] *pState points to the array for storing intermediate results * @return The function returns either * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. * * @details * Scaling and Overflow Behavior: * * \par * The function is implemented using a 64-bit internal 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. * * \par * Refer to arm_mat_mult_fast_q15() for a faster but less precise version of this function. * */ arm_status arm_mat_mult_q15( const arm_matrix_instance_q15 * pSrcA, const arm_matrix_instance_q15 * pSrcB, arm_matrix_instance_q15 * pDst, q15_t * pState) { q63_t sum; /* accumulator */ q31_t in; /* Temporary variable to hold the input value */ q15_t *pSrcBT = pState; /* 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 *pDst = pDst->pData; /* output data matrix pointer */ 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 */ uint16_t col, i = 0u, row = numRowsB, 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 { /* Matrix transpose */ do { /* Apply loop unrolling and exchange the columns with row elements */ col = numColsB >> 2; /* The pointer px is set to starting address of the column being processed */ px = pSrcBT + i; /* 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 the row */ in = *__SIMD32(pInB)++; /* Unpack and store one element in the destination */ *px = (q15_t) in; /* Update the pointer px to point to the next row of the transposed matrix */ px += numRowsB; /* Unpack and store the second element in the destination */ *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); /* Update the pointer px to point to the next row of the transposed matrix */ px += numRowsB; /* Read two elements from the row */ in = *__SIMD32(pInB)++; /* Unpack and store one element in the destination */ *px = (q15_t) in; /* Update the pointer px to point to the next row of the transposed matrix */ px += numRowsB; /* Unpack and store the second element in the destination */ *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); /* Update the pointer px to point to the next row of the transposed matrix */ px += numRowsB; /* Decrement the 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; while(col > 0u) { /* Read and store the input element in the destination */ *px = *pInB++; /* Update the pointer px to point to the next row of the transposed matrix */ px += numRowsB; /* Decrement the column loop counter */ col--; } i++; /* Decrement the row loop counter */ row--; } while(row > 0u); /* Reset the variables for the usage in the 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, the column loop counter is to be initiated */ col = numColsB; /* For every row wise process, the pIn2 pointer is set ** to the starting address of the transposed pSrcB data */ pInB = pSrcBT; /* column loop */ do { /* Set the variable sum, that acts as accumulator, to zero */ sum = 0; /* Apply loop unrolling and compute 2 MACs simultaneously. */ colCnt = numColsA >> 1; /* Initiate the pointer pIn1 to point to the starting address of the column being processed */ pInA = pSrcA->pData + i; /* 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) */ sum = __SMLALD(*__SIMD32(pInA)++, *__SIMD32(pInB)++, sum); /* Decrement the 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) */ sum += ((q31_t) * pInA * (*pInB++)); } /* Saturate and store the result in the destination buffer */ *px = (q15_t) (__SSAT((sum >> 15), 16)); px++; /* Decrement the column loop counter */ col--; } while(col > 0u); i = i + numColsA; /* Decrement the row loop counter */ row--; } while(row > 0u); /* set status as ARM_MATH_SUCCESS */ status = ARM_MATH_SUCCESS; } /* Return to application */ return (status); } /** * @} end of MatrixMult group */