CMSIS DSP Library from CMSIS 2.0. See http://www.onarm.com/cmsis/ for full details
Dependents: K22F_DSP_Matrix_least_square BNO055-ELEC3810 1BNO055 ECE4180Project--Slave2 ... more
Diff: src/Cortex-M4-M3/MatrixFunctions/arm_mat_mult_fast_q31.c
- Revision:
- 0:1014af42efd9
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/src/Cortex-M4-M3/MatrixFunctions/arm_mat_mult_fast_q31.c Thu Mar 10 15:07:50 2011 +0000 @@ -0,0 +1,196 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010 ARM Limited. All rights reserved. +* +* $Date: 29. November 2010 +* $Revision: V1.0.3 +* +* Project: CMSIS DSP Library +* Title: arm_mat_mult_fast_q31.c +* +* Description: Q31 matrix multiplication (fast variant). +* +* 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. +* -------------------------------------------------------------------- */ + +#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 The function returns either + * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking. + * + * @details + * <b>Scaling and Overflow Behavior:</b> + * + * \par + * The difference between the function 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. + * + * \par + * See <code>arm_mat_mult_q31()</code> 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 *pIn1 = pSrcA->pData; /* input data matrix pointer A */ + q31_t *pIn2 = pSrcB->pData; /* input data matrix pointer B */ + q31_t *pInA = pSrcA->pData; /* input data matrix pointer A */ +// q31_t *pSrcB = pSrcB->pData; /* input data matrix pointer B */ + q31_t *pOut = pDst->pData; /* output data matrix pointer */ + q31_t *px; /* Temporary output data matrix pointer */ + q31_t sum; /* Accumulator */ + 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 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 + { + /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */ + /* row loop */ + do + { + /* Output pointer is set to starting address of the row being processed */ + px = pOut + i; + + /* 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 pSrcB data */ + pIn2 = pSrcB->pData; + + j = 0u; + + /* column loop */ + do + { + /* Set the variable sum, that acts as accumulator, to zero */ + sum = 0; + + /* Initiate the pointer pIn1 to point to the starting address of pInA */ + pIn1 = pInA; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + colCnt = numColsA >> 2; + + + /* 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) */ + /* Perform the multiply-accumulates */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * pIn1++ * (*pIn2))) >> 32); + pIn2 += numColsB; + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * pIn1++ * (*pIn2))) >> 32); + pIn2 += numColsB; + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * pIn1++ * (*pIn2))) >> 32); + pIn2 += numColsB; + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * pIn1++ * (*pIn2))) >> 32); + pIn2 += numColsB; + + /* Decrement the loop counter */ + colCnt--; + } + + /* If the columns of pSrcA is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + colCnt = numColsA % 0x4u; + + while(colCnt > 0u) + { + /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */ + /* Perform the multiply-accumulates */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * pIn1++ * (*pIn2))) >> 32); + pIn2 += numColsB; + + /* Decrement the loop counter */ + colCnt--; + } + + /* Convert the result from 2.30 to 1.31 format and store in destination buffer */ + *px++ = sum << 1; + + /* Update the pointer pIn2 to point to the starting address of the next column */ + j++; + pIn2 = pSrcB->pData + j; + + /* Decrement the column loop counter */ + col--; + + } while(col > 0u); + + /* Update the pointer pInA to point to the starting address of the next row */ + i = i + numColsB; + pInA = pInA + 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 + */