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/* ----------------------------------------------------------------------

 * Project:      CMSIS DSP Library

 * Title:        arm_cmplx_mult_cmplx_q31.c

 * Description:  Q31 complex-by-complex multiplication

 *

 * $Date:        27. January 2017

 * $Revision:    V.1.5.1

 *

 * Target Processor: Cortex-M cores

 * -------------------------------------------------------------------- */

/*

 * Copyright (C) 2010-2017 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 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;

#if defined (ARM_MATH_DSP)

  /* 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 /* #if defined (ARM_MATH_DSP) */

}

/**

 * @} end of CmplxByCmplxMult group

 */