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+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_mat_cmplx_mult_q31.c
+ * Description: Floating-point matrix multiplication
+ *
+ * $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 CmplxMatrixMult
+ @{
+ */
+
+/**
+ @brief Q31 Complex matrix multiplication.
+ @param[in] pSrcA points to first input complex matrix structure
+ @param[in] pSrcB points to second input complex matrix structure
+ @param[out] pDst points to output complex matrix structure
+ @return execution status
+ - \ref ARM_MATH_SUCCESS : Operation successful
+ - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+
+ @par Scaling and Overflow Behavior
+ The function is implemented using an internal 64-bit accumulator.
+ The accumulator has a 2.62 format and maintains full precision of the intermediate
+ multiplication results but provides only a single guard bit. There is no saturation
+ on intermediate additions. Thus, if the accumulator overflows it wraps around and
+ distorts the result. The input signals should be scaled down to avoid intermediate
+ overflows. The input is thus scaled down by log2(numColsA) bits
+ to avoid overflows, as a total of numColsA additions are performed internally.
+ The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result.
+ */
+
+arm_status arm_mat_cmplx_mult_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 *pOut = pDst->pData; /* Output data matrix pointer */
+ q31_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 */
+ q63_t sumReal, sumImag; /* Accumulator */
+ q31_t a1, b1, c1, d1;
+ uint32_t col, i = 0U, j, row = numRowsA, colCnt; /* loop counters */
+ arm_status status; /* status of matrix multiplication */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+ q31_t a0, b0, c0, d0;
+#endif
+
+#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 + 2 * 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 */
+ sumReal = 0.0;
+ sumImag = 0.0;
+
+ /* Initiate pointer pIn1 to point to starting address of column being processed */
+ pIn1 = pInA;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+ /* Apply loop unrolling and compute 4 MACs simultaneously. */
+ colCnt = numColsA >> 2U;
+
+ /* matrix multiplication */
+ while (colCnt > 0U)
+ {
+
+ /* Reading real part of complex matrix A */
+ a0 = *pIn1;
+
+ /* Reading real part of complex matrix B */
+ c0 = *pIn2;
+
+ /* Reading imaginary part of complex matrix A */
+ b0 = *(pIn1 + 1U);
+
+ /* Reading imaginary part of complex matrix B */
+ d0 = *(pIn2 + 1U);
+
+ /* Multiply and Accumlates */
+ sumReal += (q63_t) a0 * c0;
+ sumImag += (q63_t) b0 * c0;
+
+ /* update pointers */
+ pIn1 += 2U;
+ pIn2 += 2 * numColsB;
+
+ /* Multiply and Accumlates */
+ sumReal -= (q63_t) b0 * d0;
+ sumImag += (q63_t) a0 * d0;
+
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+ /* read real and imag values from pSrcA and pSrcB buffer */
+ a1 = *(pIn1 );
+ c1 = *(pIn2 );
+ b1 = *(pIn1 + 1U);
+ d1 = *(pIn2 + 1U);
+
+ /* Multiply and Accumlates */
+ sumReal += (q63_t) a1 * c1;
+ sumImag += (q63_t) b1 * c1;
+
+ /* update pointers */
+ pIn1 += 2U;
+ pIn2 += 2 * numColsB;
+
+ /* Multiply and Accumlates */
+ sumReal -= (q63_t) b1 * d1;
+ sumImag += (q63_t) a1 * d1;
+
+ a0 = *(pIn1 );
+ c0 = *(pIn2 );
+ b0 = *(pIn1 + 1U);
+ d0 = *(pIn2 + 1U);
+
+ /* Multiply and Accumlates */
+ sumReal += (q63_t) a0 * c0;
+ sumImag += (q63_t) b0 * c0;
+
+ /* update pointers */
+ pIn1 += 2U;
+ pIn2 += 2 * numColsB;
+
+ /* Multiply and Accumlates */
+ sumReal -= (q63_t) b0 * d0;
+ sumImag += (q63_t) a0 * d0;
+
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+ a1 = *(pIn1 );
+ c1 = *(pIn2 );
+ b1 = *(pIn1 + 1U);
+ d1 = *(pIn2 + 1U);
+
+ /* Multiply and Accumlates */
+ sumReal += (q63_t) a1 * c1;
+ sumImag += (q63_t) b1 * c1;
+
+ /* update pointers */
+ pIn1 += 2U;
+ pIn2 += 2 * numColsB;
+
+ /* Multiply and Accumlates */
+ sumReal -= (q63_t) b1 * d1;
+ sumImag += (q63_t) a1 * d1;
+
+ /* Decrement loop count */
+ colCnt--;
+ }
+
+ /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here.
+ ** No loop unrolling is used. */
+ colCnt = numColsA % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ colCnt = numColsA;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+ while (colCnt > 0U)
+ {
+ /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+ a1 = *(pIn1 );
+ c1 = *(pIn2 );
+ b1 = *(pIn1 + 1U);
+ d1 = *(pIn2 + 1U);
+
+ /* Multiply and Accumlates */
+ sumReal += (q63_t) a1 * c1;
+ sumImag += (q63_t) b1 * c1;
+
+ /* update pointers */
+ pIn1 += 2U;
+ pIn2 += 2 * numColsB;
+
+ /* Multiply and Accumlates */
+ sumReal -= (q63_t) b1 * d1;
+ sumImag += (q63_t) a1 * d1;
+
+ /* Decrement loop counter */
+ colCnt--;
+ }
+
+ /* Store result in destination buffer */
+ *px++ = (q31_t) clip_q63_to_q31(sumReal >> 31);
+ *px++ = (q31_t) clip_q63_to_q31(sumImag >> 31);
+
+ /* Update pointer pIn2 to point to starting address of next column */
+ j++;
+ pIn2 = pSrcB->pData + 2U * j;
+
+ /* Decrement column loop counter */
+ col--;
+
+ } while (col > 0U);
+
+ /* Update pointer pInA to point to starting address of next row */
+ i = i + numColsB;
+ pInA = pInA + 2 * numColsA;
+
+ /* Decrement 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
+ */