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+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
+*
+* $Date: 12. March 2014
+* $Revision: V1.4.4
+*
+* Project: CMSIS DSP Library
+* Title: arm_cmplx_mult_cmplx_q31.c
+*
+* Description: Q31 complex-by-complex 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 groupCmplxMath
+ */
+
+/**
+ * @addtogroup CmplxByCmplxMult
+ * @{
+ */
+
+
+/**
+ * @brief Q31 complex-by-complex multiplication
+ * @param[in] *pSrcA points to the first input vector
+ * @param[in] *pSrcB points to the second input vector
+ * @param[out] *pDst points to the output vector
+ * @param[in] numSamples number of complex samples in each vector
+ * @return none.
+ *
+ * <b>Scaling and Overflow Behavior:</b>
+ * \par
+ * The function implements 1.31 by 1.31 multiplications and finally output is converted into 3.29 format.
+ * Input down scaling is not required.
+ */
+
+void arm_cmplx_mult_cmplx_q31(
+ q31_t * pSrcA,
+ q31_t * pSrcB,
+ q31_t * pDst,
+ uint32_t numSamples)
+{
+ q31_t a, b, c, d; /* Temporary variables to store real and imaginary values */
+ uint32_t blkCnt; /* loop counters */
+ q31_t mul1, mul2, mul3, mul4;
+ q31_t out1, out2;
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+ /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+ /* loop Unrolling */
+ blkCnt = numSamples >> 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(blkCnt > 0u)
+ {
+ /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1]. */
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i]. */
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+
+ mul1 = (q31_t) (((q63_t) a * c) >> 32);
+ mul2 = (q31_t) (((q63_t) b * d) >> 32);
+ mul3 = (q31_t) (((q63_t) a * d) >> 32);
+ mul4 = (q31_t) (((q63_t) b * c) >> 32);
+
+ mul1 = (mul1 >> 1);
+ mul2 = (mul2 >> 1);
+ mul3 = (mul3 >> 1);
+ mul4 = (mul4 >> 1);
+
+ out1 = mul1 - mul2;
+ out2 = mul3 + mul4;
+
+ /* store the real result in 3.29 format in the destination buffer. */
+ *pDst++ = out1;
+ /* store the imag result in 3.29 format in the destination buffer. */
+ *pDst++ = out2;
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+
+ mul1 = (q31_t) (((q63_t) a * c) >> 32);
+ mul2 = (q31_t) (((q63_t) b * d) >> 32);
+ mul3 = (q31_t) (((q63_t) a * d) >> 32);
+ mul4 = (q31_t) (((q63_t) b * c) >> 32);
+
+ mul1 = (mul1 >> 1);
+ mul2 = (mul2 >> 1);
+ mul3 = (mul3 >> 1);
+ mul4 = (mul4 >> 1);
+
+ out1 = mul1 - mul2;
+ out2 = mul3 + mul4;
+
+ /* store the real result in 3.29 format in the destination buffer. */
+ *pDst++ = out1;
+ /* store the imag result in 3.29 format in the destination buffer. */
+ *pDst++ = out2;
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+
+ mul1 = (q31_t) (((q63_t) a * c) >> 32);
+ mul2 = (q31_t) (((q63_t) b * d) >> 32);
+ mul3 = (q31_t) (((q63_t) a * d) >> 32);
+ mul4 = (q31_t) (((q63_t) b * c) >> 32);
+
+ mul1 = (mul1 >> 1);
+ mul2 = (mul2 >> 1);
+ mul3 = (mul3 >> 1);
+ mul4 = (mul4 >> 1);
+
+ out1 = mul1 - mul2;
+ out2 = mul3 + mul4;
+
+ /* store the real result in 3.29 format in the destination buffer. */
+ *pDst++ = out1;
+ /* store the imag result in 3.29 format in the destination buffer. */
+ *pDst++ = out2;
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+
+ mul1 = (q31_t) (((q63_t) a * c) >> 32);
+ mul2 = (q31_t) (((q63_t) b * d) >> 32);
+ mul3 = (q31_t) (((q63_t) a * d) >> 32);
+ mul4 = (q31_t) (((q63_t) b * c) >> 32);
+
+ mul1 = (mul1 >> 1);
+ mul2 = (mul2 >> 1);
+ mul3 = (mul3 >> 1);
+ mul4 = (mul4 >> 1);
+
+ out1 = mul1 - mul2;
+ out2 = mul3 + mul4;
+
+ /* store the real result in 3.29 format in the destination buffer. */
+ *pDst++ = out1;
+ /* store the imag result in 3.29 format in the destination buffer. */
+ *pDst++ = out2;
+
+ /* Decrement the blockSize loop counter */
+ blkCnt--;
+ }
+
+ /* If the blockSize is not a multiple of 4, compute any remaining output samples here.
+ ** No loop unrolling is used. */
+ blkCnt = numSamples % 0x4u;
+
+ while(blkCnt > 0u)
+ {
+ /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1]. */
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i]. */
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+
+ mul1 = (q31_t) (((q63_t) a * c) >> 32);
+ mul2 = (q31_t) (((q63_t) b * d) >> 32);
+ mul3 = (q31_t) (((q63_t) a * d) >> 32);
+ mul4 = (q31_t) (((q63_t) b * c) >> 32);
+
+ mul1 = (mul1 >> 1);
+ mul2 = (mul2 >> 1);
+ mul3 = (mul3 >> 1);
+ mul4 = (mul4 >> 1);
+
+ out1 = mul1 - mul2;
+ out2 = mul3 + mul4;
+
+ /* store the real result in 3.29 format in the destination buffer. */
+ *pDst++ = out1;
+ /* store the imag result in 3.29 format in the destination buffer. */
+ *pDst++ = out2;
+
+ /* Decrement the blockSize loop counter */
+ blkCnt--;
+ }
+
+#else
+
+ /* Run the below code for Cortex-M0 */
+
+ /* loop Unrolling */
+ blkCnt = numSamples >> 1u;
+
+ /* First part of the processing with loop unrolling. Compute 2 outputs at a time.
+ ** a second loop below computes the remaining 1 sample. */
+ while(blkCnt > 0u)
+ {
+ /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1]. */
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i]. */
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+
+ mul1 = (q31_t) (((q63_t) a * c) >> 32);
+ mul2 = (q31_t) (((q63_t) b * d) >> 32);
+ mul3 = (q31_t) (((q63_t) a * d) >> 32);
+ mul4 = (q31_t) (((q63_t) b * c) >> 32);
+
+ mul1 = (mul1 >> 1);
+ mul2 = (mul2 >> 1);
+ mul3 = (mul3 >> 1);
+ mul4 = (mul4 >> 1);
+
+ out1 = mul1 - mul2;
+ out2 = mul3 + mul4;
+
+ /* store the real result in 3.29 format in the destination buffer. */
+ *pDst++ = out1;
+ /* store the imag result in 3.29 format in the destination buffer. */
+ *pDst++ = out2;
+
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+
+ mul1 = (q31_t) (((q63_t) a * c) >> 32);
+ mul2 = (q31_t) (((q63_t) b * d) >> 32);
+ mul3 = (q31_t) (((q63_t) a * d) >> 32);
+ mul4 = (q31_t) (((q63_t) b * c) >> 32);
+
+ mul1 = (mul1 >> 1);
+ mul2 = (mul2 >> 1);
+ mul3 = (mul3 >> 1);
+ mul4 = (mul4 >> 1);
+
+ out1 = mul1 - mul2;
+ out2 = mul3 + mul4;
+
+ /* store the real result in 3.29 format in the destination buffer. */
+ *pDst++ = out1;
+ /* store the imag result in 3.29 format in the destination buffer. */
+ *pDst++ = out2;
+
+ /* Decrement the blockSize loop counter */
+ blkCnt--;
+ }
+
+ /* If the blockSize is not a multiple of 2, compute any remaining output samples here.
+ ** No loop unrolling is used. */
+ blkCnt = numSamples % 0x2u;
+
+ while(blkCnt > 0u)
+ {
+ /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1]. */
+ /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i]. */
+ a = *pSrcA++;
+ b = *pSrcA++;
+ c = *pSrcB++;
+ d = *pSrcB++;
+
+ mul1 = (q31_t) (((q63_t) a * c) >> 32);
+ mul2 = (q31_t) (((q63_t) b * d) >> 32);
+ mul3 = (q31_t) (((q63_t) a * d) >> 32);
+ mul4 = (q31_t) (((q63_t) b * c) >> 32);
+
+ mul1 = (mul1 >> 1);
+ mul2 = (mul2 >> 1);
+ mul3 = (mul3 >> 1);
+ mul4 = (mul4 >> 1);
+
+ out1 = mul1 - mul2;
+ out2 = mul3 + mul4;
+
+ /* store the real result in 3.29 format in the destination buffer. */
+ *pDst++ = out1;
+ /* store the imag result in 3.29 format in the destination buffer. */
+ *pDst++ = out2;
+
+ /* Decrement the blockSize loop counter */
+ blkCnt--;
+ }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**
+ * @} end of CmplxByCmplxMult group
+ */
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