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+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_cmplx_dot_prod_f32.c
+ * Description: Floating-point complex dot product
+ *
+ * $Date: 23 April 2021
+ * $Revision: V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+
+/*
+ * Copyright (C) 2010-2021 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_compiler_specific.h"
+
+
+#include "dsp/complex_math_functions.h"
+
+/**
+ @ingroup groupCmplxMath
+ */
+
+/**
+ @defgroup cmplx_dot_prod Complex Dot Product
+
+ Computes the dot product of two complex vectors.
+ The vectors are multiplied element-by-element and then summed.
+
+ The <code>pSrcA</code> points to the first complex input vector and
+ <code>pSrcB</code> points to the second complex input vector.
+ <code>numSamples</code> specifies the number of complex samples
+ and the data in each array is stored in an interleaved fashion
+ (real, imag, real, imag, ...).
+ Each array has a total of <code>2*numSamples</code> values.
+
+ The underlying algorithm is used:
+
+ <pre>
+ realResult = 0;
+ imagResult = 0;
+ for (n = 0; n < numSamples; n++) {
+ realResult += pSrcA[(2*n)+0] * pSrcB[(2*n)+0] - pSrcA[(2*n)+1] * pSrcB[(2*n)+1];
+ imagResult += 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 cmplx_dot_prod
+ @{
+ */
+
+/**
+ @brief Floating-point complex dot product.
+ @param[in] pSrcA points to the first input vector
+ @param[in] pSrcB points to the second input vector
+ @param[in] numSamples number of samples in each vector
+ @param[out] realResult real part of the result returned here
+ @param[out] imagResult imaginary part of the result returned here
+ */
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ARM_DSP_ATTRIBUTE void arm_cmplx_dot_prod_f32(
+ const float32_t * pSrcA,
+ const float32_t * pSrcB,
+ uint32_t numSamples,
+ float32_t * realResult,
+ float32_t * imagResult)
+{
+ int32_t blkCnt;
+ float32_t real_sum, imag_sum;
+ f32x4_t vecSrcA, vecSrcB;
+ f32x4_t vec_acc = vdupq_n_f32(0.0f);
+ f32x4_t vecSrcC, vecSrcD;
+
+ blkCnt = numSamples >> 2;
+ blkCnt -= 1;
+ if (blkCnt > 0) {
+ /* should give more freedom to generate stall free code */
+ vecSrcA = vld1q(pSrcA);
+ vecSrcB = vld1q(pSrcB);
+ pSrcA += 4;
+ pSrcB += 4;
+
+ while (blkCnt > 0) {
+ vec_acc = vcmlaq(vec_acc, vecSrcA, vecSrcB);
+ vecSrcC = vld1q(pSrcA);
+ pSrcA += 4;
+
+ vec_acc = vcmlaq_rot90(vec_acc, vecSrcA, vecSrcB);
+ vecSrcD = vld1q(pSrcB);
+ pSrcB += 4;
+
+ vec_acc = vcmlaq(vec_acc, vecSrcC, vecSrcD);
+ vecSrcA = vld1q(pSrcA);
+ pSrcA += 4;
+
+ vec_acc = vcmlaq_rot90(vec_acc, vecSrcC, vecSrcD);
+ vecSrcB = vld1q(pSrcB);
+ pSrcB += 4;
+ /*
+ * Decrement the blockSize loop counter
+ */
+ blkCnt--;
+ }
+
+ /* process last elements out of the loop avoid the armclang breaking the SW pipeline */
+ vec_acc = vcmlaq(vec_acc, vecSrcA, vecSrcB);
+ vecSrcC = vld1q(pSrcA);
+
+ vec_acc = vcmlaq_rot90(vec_acc, vecSrcA, vecSrcB);
+ vecSrcD = vld1q(pSrcB);
+
+ vec_acc = vcmlaq(vec_acc, vecSrcC, vecSrcD);
+ vec_acc = vcmlaq_rot90(vec_acc, vecSrcC, vecSrcD);
+
+ /*
+ * tail
+ */
+ blkCnt = CMPLX_DIM * (numSamples & 3);
+ while (blkCnt > 0) {
+ mve_pred16_t p = vctp32q(blkCnt);
+ pSrcA += 4;
+ pSrcB += 4;
+ vecSrcA = vldrwq_z_f32(pSrcA, p);
+ vecSrcB = vldrwq_z_f32(pSrcB, p);
+ vec_acc = vcmlaq_m(vec_acc, vecSrcA, vecSrcB, p);
+ vec_acc = vcmlaq_rot90_m(vec_acc, vecSrcA, vecSrcB, p);
+ blkCnt -= 4;
+ }
+ } else {
+ /* small vector */
+ blkCnt = numSamples * CMPLX_DIM;
+ vec_acc = vdupq_n_f32(0.0f);
+
+ do {
+ mve_pred16_t p = vctp32q(blkCnt);
+
+ vecSrcA = vldrwq_z_f32(pSrcA, p);
+ vecSrcB = vldrwq_z_f32(pSrcB, p);
+
+ vec_acc = vcmlaq_m(vec_acc, vecSrcA, vecSrcB, p);
+ vec_acc = vcmlaq_rot90_m(vec_acc, vecSrcA, vecSrcB, p);
+
+ /*
+ * Decrement the blkCnt loop counter
+ * Advance vector source and destination pointers
+ */
+ pSrcA += 4;
+ pSrcB += 4;
+ blkCnt -= 4;
+ }
+ while (blkCnt > 0);
+ }
+
+ real_sum = vgetq_lane(vec_acc, 0) + vgetq_lane(vec_acc, 2);
+ imag_sum = vgetq_lane(vec_acc, 1) + vgetq_lane(vec_acc, 3);
+
+ /*
+ * Store the real and imaginary results in the destination buffers
+ */
+ *realResult = real_sum;
+ *imagResult = imag_sum;
+}
+
+#else
+ARM_DSP_ATTRIBUTE void arm_cmplx_dot_prod_f32(
+ const float32_t * pSrcA,
+ const float32_t * pSrcB,
+ uint32_t numSamples,
+ float32_t * realResult,
+ float32_t * imagResult)
+{
+ uint32_t blkCnt; /* Loop counter */
+ float32_t real_sum = 0.0f, imag_sum = 0.0f; /* Temporary result variables */
+ float32_t a0,b0,c0,d0;
+
+#if defined(ARM_MATH_NEON)
+ float32x4x2_t vec1,vec2,vec3,vec4;
+ float32x4_t accR,accI;
+ float32x2_t accum = vdup_n_f32(0);
+
+ accR = vdupq_n_f32(0.0f);
+ accI = vdupq_n_f32(0.0f);
+
+ /* Loop unrolling: Compute 8 outputs at a time */
+ blkCnt = numSamples >> 3U;
+
+ while (blkCnt > 0U)
+ {
+ /* C = (A[0]+jA[1])*(B[0]+jB[1]) + ... */
+ /* Calculate dot product and then store the result in a temporary buffer. */
+
+ vec1 = vld2q_f32(pSrcA);
+ vec2 = vld2q_f32(pSrcB);
+
+ /* Increment pointers */
+ pSrcA += 8;
+ pSrcB += 8;
+
+ /* Re{C} = Re{A}*Re{B} - Im{A}*Im{B} */
+ accR = vmlaq_f32(accR,vec1.val[0],vec2.val[0]);
+ accR = vmlsq_f32(accR,vec1.val[1],vec2.val[1]);
+
+ /* Im{C} = Re{A}*Im{B} + Im{A}*Re{B} */
+ accI = vmlaq_f32(accI,vec1.val[1],vec2.val[0]);
+ accI = vmlaq_f32(accI,vec1.val[0],vec2.val[1]);
+
+ vec3 = vld2q_f32(pSrcA);
+ vec4 = vld2q_f32(pSrcB);
+
+ /* Increment pointers */
+ pSrcA += 8;
+ pSrcB += 8;
+
+ /* Re{C} = Re{A}*Re{B} - Im{A}*Im{B} */
+ accR = vmlaq_f32(accR,vec3.val[0],vec4.val[0]);
+ accR = vmlsq_f32(accR,vec3.val[1],vec4.val[1]);
+
+ /* Im{C} = Re{A}*Im{B} + Im{A}*Re{B} */
+ accI = vmlaq_f32(accI,vec3.val[1],vec4.val[0]);
+ accI = vmlaq_f32(accI,vec3.val[0],vec4.val[1]);
+
+ /* Decrement the loop counter */
+ blkCnt--;
+ }
+
+ accum = vpadd_f32(vget_low_f32(accR), vget_high_f32(accR));
+ real_sum += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1);
+
+ accum = vpadd_f32(vget_low_f32(accI), vget_high_f32(accI));
+ imag_sum += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1);
+
+ /* Tail */
+ blkCnt = numSamples & 0x7;
+
+#else
+#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+ /* Loop unrolling: Compute 4 outputs at a time */
+ blkCnt = numSamples >> 2U;
+
+ while (blkCnt > 0U)
+ {
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += a0 * c0;
+ imag_sum += a0 * d0;
+ real_sum -= b0 * d0;
+ imag_sum += b0 * c0;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += a0 * c0;
+ imag_sum += a0 * d0;
+ real_sum -= b0 * d0;
+ imag_sum += b0 * c0;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += a0 * c0;
+ imag_sum += a0 * d0;
+ real_sum -= b0 * d0;
+ imag_sum += b0 * c0;
+
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += a0 * c0;
+ imag_sum += a0 * d0;
+ real_sum -= b0 * d0;
+ imag_sum += b0 * c0;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Loop unrolling: Compute remaining outputs */
+ blkCnt = numSamples % 0x4U;
+
+#else
+
+ /* Initialize blkCnt with number of samples */
+ blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+#endif /* #if defined(ARM_MATH_NEON) */
+
+ while (blkCnt > 0U)
+ {
+ a0 = *pSrcA++;
+ b0 = *pSrcA++;
+ c0 = *pSrcB++;
+ d0 = *pSrcB++;
+
+ real_sum += a0 * c0;
+ imag_sum += a0 * d0;
+ real_sum -= b0 * d0;
+ imag_sum += b0 * c0;
+
+ /* Decrement loop counter */
+ blkCnt--;
+ }
+
+ /* Store real and imaginary result in destination buffer. */
+ *realResult = real_sum;
+ *imagResult = imag_sum;
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+ @} end of cmplx_dot_prod group
+ */