diff options
Diffstat (limited to 'Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q15.c')
| -rw-r--r-- | Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q15.c | 483 |
1 files changed, 483 insertions, 0 deletions
diff --git a/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q15.c b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q15.c new file mode 100644 index 0000000..384974e --- /dev/null +++ b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q15.c @@ -0,0 +1,483 @@ +/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_mult_fast_q15.c
+ * Description: Q15 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 Q15 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
+ @param[in] pState points to the array for storing intermediate results
+ @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_q15() and this fast variant is that
+ the fast variant use a 32-bit rather than a 64-bit accumulator.
+ The result of each 1.15 x 1.15 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 1.15 result.
+ @par
+ The fast version has the same overflow behavior as the standard version but provides
+ less precision since it discards the low 16 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_q15() for a slower implementation of this function
+ which uses 64-bit accumulation to provide higher precision.
+ */
+
+arm_status arm_mat_mult_fast_q15(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst,
+ q15_t * pState)
+{
+ q31_t sum; /* Accumulator */
+ 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 *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 */
+ uint32_t col, i = 0U, row = numRowsB, colCnt; /* Loop counters */
+ arm_status status; /* Status of matrix multiplication */
+
+#if defined (ARM_MATH_DSP)
+ q31_t in; /* Temporary variable to hold the input value */
+ q31_t inA1, inB1, inA2, inB2;
+ q31_t sum2, sum3, sum4;
+ q15_t *pInA2, *pInB2, *px2;
+ uint32_t j = 0;
+#else
+ q15_t in; /* Temporary variable to hold the input value */
+ q15_t inA1, inB1, inA2, inB2;
+#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;
+
+ /* Apply loop unrolling and exchange columns with row elements */
+ col = numColsB >> 2U;
+
+ /* 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)
+ {
+
+#if defined (ARM_MATH_DSP)
+
+ /* Read two elements from row */
+ in = read_q15x2_ia ((q15_t **) &pInB);
+
+ /* Unpack and store one element in destination */
+#ifndef ARM_MATH_BIG_ENDIAN
+ *px = (q15_t) in;
+#else
+ *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Update pointer px to point to next row of transposed matrix */
+ px += numRowsB;
+
+ /* Unpack and store second element in destination */
+#ifndef ARM_MATH_BIG_ENDIAN
+ *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+#else
+ *px = (q15_t) in;
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+ /* Update pointer px to point to next row of transposed matrix */
+ px += numRowsB;
+
+ in = read_q15x2_ia ((q15_t **) &pInB);
+#ifndef ARM_MATH_BIG_ENDIAN
+ *px = (q15_t) in;
+#else
+ *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+ px += numRowsB;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+ *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+#else
+ *px = (q15_t) in;
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+ px += numRowsB;
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+ /* Read one element from row */
+ in = *pInB++;
+
+ /* Store one element in destination */
+ *px = in;
+
+ /* Update pointer px to point to next row of transposed matrix */
+ px += numRowsB;
+
+ in = *pInB++;
+ *px = in;
+ px += numRowsB;
+
+ in = *pInB++;
+ *px = in;
+ px += numRowsB;
+
+ in = *pInB++;
+ *px = in;
+ px += numRowsB;
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* 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;
+
+ while (col > 0U)
+ {
+ /* Read and store input element in destination */
+ *px = *pInB++;
+
+ /* Update pointer px to point to next row of transposed matrix */
+ px += numRowsB;
+
+ /* Decrement column loop counter */
+ col--;
+ }
+
+ i++;
+
+ /* Decrement row loop counter */
+ row--;
+
+ } while (row > 0U);
+
+ /* Reset variables for usage in following multiplication process */
+ row = numRowsA;
+ i = 0U;
+ px = pDst->pData;
+
+#if defined (ARM_MATH_DSP)
+ /* Process two rows from matrix A at a time and output two rows at a time */
+ row = row >> 1U;
+ px2 = px + numColsB;
+#endif
+
+ /* 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 transposed pSrcB data */
+ pInB = pSrcBT;
+
+#if defined (ARM_MATH_DSP)
+ /* Process two (transposed) columns from matrix B at a time */
+ col = col >> 1U;
+ j = 0;
+#endif
+
+ /* column loop */
+ while (col > 0U)
+ {
+ /* Set variable sum, that acts as accumulator, to zero */
+ sum = 0;
+
+ /* Initiate pointer pInA to point to starting address of column being processed */
+ pInA = pSrcA->pData + i;
+
+#if defined (ARM_MATH_DSP)
+ sum2 = 0;
+ sum3 = 0;
+ sum4 = 0;
+ pInB = pSrcBT + j;
+ pInA2 = pInA + numColsA;
+ pInB2 = pInB + numRowsB;
+
+ /* Read in two elements at once - alows dual MAC instruction */
+ colCnt = numColsA >> 1U;
+#else
+ colCnt = numColsA >> 2U;
+#endif
+
+ /* 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 */
+ inA1 = read_q15x2_ia ((q15_t **) &pInA);
+ inB1 = read_q15x2_ia ((q15_t **) &pInB);
+
+ inA2 = read_q15x2_ia ((q15_t **) &pInA2);
+ inB2 = read_q15x2_ia ((q15_t **) &pInB2);
+
+ /* Multiply and Accumlates */
+ sum = __SMLAD(inA1, inB1, sum);
+ sum2 = __SMLAD(inA1, inB2, sum2);
+ sum3 = __SMLAD(inA2, inB1, sum3);
+ sum4 = __SMLAD(inA2, inB2, sum4);
+#else
+ /* read real and imag values from pSrcA and pSrcB buffer */
+ inA1 = *pInA++;
+ inB1 = *pInB++;
+ /* Multiply and Accumlates */
+ sum += inA1 * inB1;
+
+ inA2 = *pInA++;
+ inB2 = *pInB++;
+ sum += inA2 * inB2;
+
+ inA1 = *pInA++;
+ inB1 = *pInB++;
+ sum += inA1 * inB1;
+
+ inA2 = *pInA++;
+ inB2 = *pInB++;
+ sum += inA2 * inB2;
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ /* process odd column samples */
+#if defined (ARM_MATH_DSP)
+ if (numColsA & 1U) {
+ inA1 = *pInA++;
+ inB1 = *pInB++;
+ inA2 = *pInA2++;
+ inB2 = *pInB2++;
+ sum += inA1 * inB1;
+ sum2 += inA1 * inB2;
+ sum3 += inA2 * inB1;
+ sum4 += inA2 * inB2;
+ }
+#else
+ 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) */
+ sum += (q31_t) *pInA++ * *pInB++;
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* Saturate and store result in destination buffer */
+ *px++ = (q15_t) (sum >> 15);
+
+#if defined (ARM_MATH_DSP)
+ *px++ = (q15_t) (sum2 >> 15);
+ *px2++ = (q15_t) (sum3 >> 15);
+ *px2++ = (q15_t) (sum4 >> 15);
+ j += numRowsB * 2;
+#endif
+
+ /* Decrement column loop counter */
+ col--;
+
+ }
+
+ i = i + numColsA;
+
+#if defined (ARM_MATH_DSP)
+ i = i + numColsA;
+ px = px2 + (numColsB & 1U);
+ px2 = px + numColsB;
+#endif
+
+ /* Decrement row loop counter */
+ row--;
+
+ }
+
+ /* Compute any remaining odd row/column below */
+
+#if defined (ARM_MATH_DSP)
+
+ /* Compute remaining output column */
+ if (numColsB & 1U) {
+
+ /* Avoid redundant computation of last element */
+ row = numRowsA & (~0x1);
+
+ /* 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 = pSrcBT + numRowsB * (numColsB-1);
+
+ /* Set variable sum, that acts as accumulator, to zero */
+ sum = 0;
+
+ /* Compute 4 columns at once */
+ colCnt = numColsA >> 2U;
+
+ /* matrix multiplication */
+ while (colCnt > 0U)
+ {
+ inA1 = read_q15x2_ia ((q15_t **) &pInA);
+ inA2 = read_q15x2_ia ((q15_t **) &pInA);
+ inB1 = read_q15x2_ia ((q15_t **) &pInB);
+ inB2 = read_q15x2_ia ((q15_t **) &pInB);
+
+ sum = __SMLAD(inA1, inB1, sum);
+ sum = __SMLAD(inA2, inB2, sum);
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ colCnt = numColsA & 3U;
+ while (colCnt > 0U) {
+ sum += (q31_t) (*pInA++) * (*pInB++);
+ colCnt--;
+ }
+
+ /* Store result in destination buffer */
+ *px = (q15_t) (sum >> 15);
+ 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);
+
+ pInB = pSrcBT;
+ col = numColsB;
+ i = 0U;
+
+ /* col loop */
+ while (col > 0)
+ {
+ /* point to last row in matrix A */
+ pInA = pSrcA->pData + (numRowsA-1) * numColsA;
+
+ /* Set variable sum, that acts as accumulator, to zero */
+ sum = 0;
+
+ /* Compute 4 columns at once */
+ colCnt = numColsA >> 2U;
+
+ /* matrix multiplication */
+ while (colCnt > 0U)
+ {
+ inA1 = read_q15x2_ia ((q15_t **) &pInA);
+ inA2 = read_q15x2_ia ((q15_t **) &pInA);
+ inB1 = read_q15x2_ia ((q15_t **) &pInB);
+ inB2 = read_q15x2_ia ((q15_t **) &pInB);
+
+ sum = __SMLAD(inA1, inB1, sum);
+ sum = __SMLAD(inA2, inB2, sum);
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ colCnt = numColsA % 4U;
+ while (colCnt > 0U) {
+ sum += (q31_t) (*pInA++) * (*pInB++);
+
+ colCnt--;
+ }
+
+ /* Store result in destination buffer */
+ *px++ = (q15_t) (sum >> 15);
+
+ /* Decrement column loop counter */
+ col--;
+ }
+ }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+ /* Set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+/**
+ @} end of MatrixMult group
+ */
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