| /* ---------------------------------------------------------------------- |
| * Copyright (C) 2010-2014 ARM Limited. All rights reserved. |
| * |
| * $Date: 19. March 2015 |
| * $Revision: V.1.4.5 |
| * |
| * Project: CMSIS DSP Library |
| * Title: arm_cmplx_mult_cmplx_f32.c |
| * |
| * Description: Floating-point 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 |
| */ |
| |
| /** |
| * @defgroup CmplxByCmplxMult Complex-by-Complex Multiplication |
| * |
| * Multiplies a complex vector by another complex vector and generates a complex result. |
| * The data in the complex arrays is stored in an interleaved fashion |
| * (real, imag, real, imag, ...). |
| * The parameter <code>numSamples</code> represents the number of complex |
| * samples processed. The complex arrays have a total of <code>2*numSamples</code> |
| * real values. |
| * |
| * The underlying algorithm is used: |
| * |
| * <pre> |
| * for(n=0; n<numSamples; n++) { |
| * pDst[(2*n)+0] = pSrcA[(2*n)+0] * pSrcB[(2*n)+0] - pSrcA[(2*n)+1] * pSrcB[(2*n)+1]; |
| * pDst[(2*n)+1] = pSrcA[(2*n)+0] * pSrcB[(2*n)+1] + pSrcA[(2*n)+1] * pSrcB[(2*n)+0]; |
| * } |
| * </pre> |
| * |
| * There are separate functions for floating-point, Q15, and Q31 data types. |
| */ |
| |
| /** |
| * @addtogroup CmplxByCmplxMult |
| * @{ |
| */ |
| |
| |
| /** |
| * @brief Floating-point 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. |
| */ |
| |
| void arm_cmplx_mult_cmplx_f32( |
| float32_t * pSrcA, |
| float32_t * pSrcB, |
| float32_t * pDst, |
| uint32_t numSamples) |
| { |
| float32_t a1, b1, c1, d1; /* Temporary variables to store real and imaginary values */ |
| uint32_t blkCnt; /* loop counters */ |
| |
| #ifndef ARM_MATH_CM0_FAMILY |
| |
| /* Run the below code for Cortex-M4 and Cortex-M3 */ |
| float32_t a2, b2, c2, d2; /* Temporary variables to store real and imaginary values */ |
| float32_t acc1, acc2, acc3, acc4; |
| |
| |
| /* 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]. */ |
| a1 = *pSrcA; /* A[2 * i] */ |
| c1 = *pSrcB; /* B[2 * i] */ |
| |
| b1 = *(pSrcA + 1); /* A[2 * i + 1] */ |
| acc1 = a1 * c1; /* acc1 = A[2 * i] * B[2 * i] */ |
| |
| a2 = *(pSrcA + 2); /* A[2 * i + 2] */ |
| acc2 = (b1 * c1); /* acc2 = A[2 * i + 1] * B[2 * i] */ |
| |
| d1 = *(pSrcB + 1); /* B[2 * i + 1] */ |
| c2 = *(pSrcB + 2); /* B[2 * i + 2] */ |
| acc1 -= b1 * d1; /* acc1 = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1] */ |
| |
| d2 = *(pSrcB + 3); /* B[2 * i + 3] */ |
| acc3 = a2 * c2; /* acc3 = A[2 * i + 2] * B[2 * i + 2] */ |
| |
| b2 = *(pSrcA + 3); /* A[2 * i + 3] */ |
| acc2 += (a1 * d1); /* acc2 = A[2 * i + 1] * B[2 * i] + A[2 * i] * B[2 * i + 1] */ |
| |
| a1 = *(pSrcA + 4); /* A[2 * i + 4] */ |
| acc4 = (a2 * d2); /* acc4 = A[2 * i + 2] * B[2 * i + 3] */ |
| |
| c1 = *(pSrcB + 4); /* B[2 * i + 4] */ |
| acc3 -= (b2 * d2); /* acc3 = A[2 * i + 2] * B[2 * i + 2] - A[2 * i + 3] * B[2 * i + 3] */ |
| *pDst = acc1; /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1] */ |
| |
| b1 = *(pSrcA + 5); /* A[2 * i + 5] */ |
| acc4 += b2 * c2; /* acc4 = A[2 * i + 2] * B[2 * i + 3] + A[2 * i + 3] * B[2 * i + 2] */ |
| |
| *(pDst + 1) = acc2; /* C[2 * i + 1] = A[2 * i + 1] * B[2 * i] + A[2 * i] * B[2 * i + 1] */ |
| acc1 = (a1 * c1); |
| |
| d1 = *(pSrcB + 5); |
| acc2 = (b1 * c1); |
| |
| *(pDst + 2) = acc3; |
| *(pDst + 3) = acc4; |
| |
| a2 = *(pSrcA + 6); |
| acc1 -= (b1 * d1); |
| |
| c2 = *(pSrcB + 6); |
| acc2 += (a1 * d1); |
| |
| b2 = *(pSrcA + 7); |
| acc3 = (a2 * c2); |
| |
| d2 = *(pSrcB + 7); |
| acc4 = (b2 * c2); |
| |
| *(pDst + 4) = acc1; |
| pSrcA += 8u; |
| |
| acc3 -= (b2 * d2); |
| acc4 += (a2 * d2); |
| |
| *(pDst + 5) = acc2; |
| pSrcB += 8u; |
| |
| *(pDst + 6) = acc3; |
| *(pDst + 7) = acc4; |
| |
| pDst += 8u; |
| |
| /* Decrement the numSamples loop counter */ |
| blkCnt--; |
| } |
| |
| /* If the numSamples is not a multiple of 4, compute any remaining output samples here. |
| ** No loop unrolling is used. */ |
| blkCnt = numSamples % 0x4u; |
| |
| #else |
| |
| /* Run the below code for Cortex-M0 */ |
| blkCnt = numSamples; |
| |
| #endif /* #ifndef ARM_MATH_CM0_FAMILY */ |
| |
| 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]. */ |
| a1 = *pSrcA++; |
| b1 = *pSrcA++; |
| c1 = *pSrcB++; |
| d1 = *pSrcB++; |
| |
| /* store the result in the destination buffer. */ |
| *pDst++ = (a1 * c1) - (b1 * d1); |
| *pDst++ = (a1 * d1) + (b1 * c1); |
| |
| /* Decrement the numSamples loop counter */ |
| blkCnt--; |
| } |
| } |
| |
| /** |
| * @} end of CmplxByCmplxMult group |
| */ |