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+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2013 ARM Limited. All rights reserved.
+*
+* $Date: 17. January 2013
+* $Revision: V1.4.1
+*
+* Project: CMSIS DSP Library
+* Title: arm_mat_mult_q15.c
+*
+* Description: Q15 matrix multiplication.
+*
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+* - Redistributions of source code must retain the above copyright
+* notice, this list of conditions and the following disclaimer.
+* - Redistributions in binary form must reproduce the above copyright
+* notice, this list of conditions and the following disclaimer in
+* the documentation and/or other materials provided with the
+* distribution.
+* - Neither the name of ARM LIMITED nor the names of its contributors
+* may be used to endorse or promote products derived from this
+* software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+#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
+ * <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 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 <code>arm_mat_mult_fast_q15()</code> for a faster but less precise version of this function for Cortex-M3 and Cortex-M4.
+ *
+ */
+
+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 CMSIS_UNUSED)
+{
+ q63_t sum; /* accumulator */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+ /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+ 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 */
+ uint16_t col, i = 0u, row = numRowsB, colCnt; /* loop counters */
+ arm_status status; /* status of matrix multiplication */
+
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+ q31_t in; /* Temporary variable to hold the input value */
+ q31_t pSourceA1, pSourceB1, pSourceA2, pSourceB2;
+
+#else
+
+ q15_t in; /* Temporary variable to hold the input value */
+ q15_t inA1, inB1, inA2, inB2;
+
+#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */
+
+#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
+ {
+ /* 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)
+ {
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+ /* Read two elements from the row */
+ in = *__SIMD32(pInB)++;
+
+ /* Unpack and store one element in the 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 the pointer px to point to the next row of the transposed matrix */
+ px += numRowsB;
+
+ /* Unpack and store the second element in the 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 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 */
+#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 the pointer px to point to the next row of the transposed matrix */
+ px += numRowsB;
+
+ /* Unpack and store the second element in the 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 the pointer px to point to the next row of the transposed matrix */
+ px += numRowsB;
+
+#else
+
+ /* Read one element from the row */
+ in = *pInB++;
+
+ /* Store one element in the destination */
+ *px = in;
+
+ /* Update the pointer px to point to the next row of the transposed matrix */
+ px += numRowsB;
+
+ /* Read one element from the row */
+ in = *pInB++;
+
+ /* Store one element in the destination */
+ *px = in;
+
+ /* Update the pointer px to point to the next row of the transposed matrix */
+ px += numRowsB;
+
+ /* Read one element from the row */
+ in = *pInB++;
+
+ /* Store one element in the destination */
+ *px = in;
+
+ /* Update the pointer px to point to the next row of the transposed matrix */
+ px += numRowsB;
+
+ /* Read one element from the row */
+ in = *pInB++;
+
+ /* Store one element in the destination */
+ *px = in;
+
+ /* Update the pointer px to point to the next row of the transposed matrix */
+ px += numRowsB;
+
+#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */
+
+ /* 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 >> 2;
+
+ /* 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) */
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+ /* read real and imag values from pSrcA and pSrcB buffer */
+ pSourceA1 = *__SIMD32(pInA)++;
+ pSourceB1 = *__SIMD32(pInB)++;
+
+ pSourceA2 = *__SIMD32(pInA)++;
+ pSourceB2 = *__SIMD32(pInB)++;
+
+ /* Multiply and Accumlates */
+ sum = __SMLALD(pSourceA1, pSourceB1, sum);
+ sum = __SMLALD(pSourceA2, pSourceB2, sum);
+
+#else
+ /* read real and imag values from pSrcA and pSrcB buffer */
+ inA1 = *pInA++;
+ inB1 = *pInB++;
+ inA2 = *pInA++;
+ /* Multiply and Accumlates */
+ sum += inA1 * inB1;
+ inB2 = *pInB++;
+
+ inA1 = *pInA++;
+ inB1 = *pInB++;
+ /* Multiply and Accumlates */
+ sum += inA2 * inB2;
+ inA2 = *pInA++;
+ inB2 = *pInB++;
+
+ /* Multiply and Accumlates */
+ sum += inA1 * inB1;
+ sum += inA2 * inB2;
+
+#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */
+
+ /* Decrement the loop counter */
+ colCnt--;
+ }
+
+ /* process remaining column samples */
+ colCnt = numColsA & 3u;
+
+ 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 += *pInA++ * *pInB++;
+
+ /* Decrement the loop counter */
+ colCnt--;
+ }
+
+ /* 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);
+
+#else
+
+ /* Run the below code for Cortex-M0 */
+
+ q15_t *pIn1 = pSrcA->pData; /* input data matrix pointer A */
+ q15_t *pIn2 = pSrcB->pData; /* input data matrix pointer B */
+ 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 *pOut = pDst->pData; /* output data matrix pointer */
+ q15_t *px; /* Temporary output data matrix pointer */
+ 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 numRowsA = pSrcA->numRows; /* number of rows of input matrix A */
+ uint16_t col, i = 0u, 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 */
+
+ {
+ /* 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;
+
+ /* 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 pSrcA */
+ pIn1 = pInA;
+
+ /* Matrix A columns number of MAC operations are to be performed */
+ 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) */
+ /* Perform the multiply-accumulates */
+ sum += (q31_t) * pIn1++ * *pIn2;
+ pIn2 += numColsB;
+
+ /* Decrement the loop counter */
+ colCnt--;
+ }
+
+ /* Convert the result from 34.30 to 1.15 format and store the saturated value in destination buffer */
+ /* Saturate and store the result in the destination buffer */
+ *px++ = (q15_t) __SSAT((sum >> 15), 16);
+
+ /* Decrement the column loop counter */
+ col--;
+
+ /* Update the pointer pIn2 to point to the starting address of the next column */
+ pIn2 = pInB + (numColsB - col);
+
+ } while(col > 0u);
+
+ /* Update the pointer pSrcA 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);
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+ /* set status as ARM_MATH_SUCCESS */
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* Return to application */
+ return (status);
+}
+
+/**
+ * @} end of MatrixMult group
+ */