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/**
*
* \section COPYRIGHT
*
* Copyright 2013-2015 Software Radio Systems Limited
*
* \section LICENSE
*
* This file is part of the srsLTE library.
*
* srsLTE is free software: you can redistribute it and/or modify
* it under the terms of the GNU Affero General Public License as
* published by the Free Software Foundation, either version 3 of
* the License, or (at your option) any later version.
*
* srsLTE is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU Affero General Public License for more details.
*
* A copy of the GNU Affero General Public License can be found in
* the LICENSE file in the top-level directory of this distribution
* and at http://www.gnu.org/licenses/.
*
*/
#ifndef SRSLTE_MAT_H
#define SRSLTE_MAT_H
#include "srslte/config.h"
#include "srslte/phy/utils/simd.h"
/* Generic implementation for complex reciprocal */
SRSLTE_API cf_t srslte_mat_cf_recip_gen(cf_t a);
/* Generic implementation for 2x2 determinant */
SRSLTE_API cf_t srslte_mat_2x2_det_gen(cf_t a00, cf_t a01, cf_t a10, cf_t a11);
/* Generic implementation for 2x2 Matrix Inversion */
SRSLTE_API void srslte_mat_2x2_inv_gen(cf_t a00, cf_t a01, cf_t a10, cf_t a11,
cf_t *r00, cf_t *r01, cf_t *r10, cf_t *r11);
/* Generic implementation for Zero Forcing (ZF) solver */
SRSLTE_API void srslte_mat_2x2_zf_gen(cf_t y0, cf_t y1,
cf_t h00, cf_t h01, cf_t h10, cf_t h11,
cf_t *x0, cf_t *x1,
float norm);
/* Generic implementation for Minimum Mean Squared Error (MMSE) solver */
SRSLTE_API void srslte_mat_2x2_mmse_gen(cf_t y0, cf_t y1,
cf_t h00, cf_t h01, cf_t h10, cf_t h11,
cf_t *x0, cf_t *x1,
float noise_estimate,
float norm);
SRSLTE_API void srslte_mat_2x2_mmse_csi_gen(cf_t y0, cf_t y1,
cf_t h00, cf_t h01, cf_t h10, cf_t h11,
cf_t *x0, cf_t *x1, float *csi0, float *csi1,
float noise_estimate,
float norm);
SRSLTE_API float srslte_mat_2x2_cn(cf_t h00,
cf_t h01,
cf_t h10,
cf_t h11);
#ifdef LV_HAVE_SSE
/* SSE implementation for complex reciprocal */
SRSLTE_API __m128 srslte_mat_cf_recip_sse(__m128 a);
/* SSE implementation for 2x2 determinant */
SRSLTE_API __m128 srslte_mat_2x2_det_sse(__m128 a00, __m128 a01, __m128 a10, __m128 a11);
/* SSE implementation for Zero Forcing (ZF) solver */
SRSLTE_API void srslte_mat_2x2_zf_sse(__m128 y0, __m128 y1,
__m128 h00, __m128 h01, __m128 h10, __m128 h11,
__m128 *x0, __m128 *x1,
float norm);
/* SSE implementation for Minimum Mean Squared Error (MMSE) solver */
SRSLTE_API void srslte_mat_2x2_mmse_sse(__m128 y0, __m128 y1,
__m128 h00, __m128 h01, __m128 h10, __m128 h11,
__m128 *x0, __m128 *x1,
float noise_estimate, float norm);
#endif /* LV_HAVE_SSE */
#ifdef LV_HAVE_AVX
/* AVX implementation for complex reciprocal */
SRSLTE_API __m256 srslte_mat_cf_recip_avx(__m256 a);
/* AVX implementation for 2x2 determinant */
SRSLTE_API __m256 srslte_mat_2x2_det_avx(__m256 a00, __m256 a01, __m256 a10, __m256 a11);
/* AVX implementation for Zero Forcing (ZF) solver */
SRSLTE_API void srslte_mat_2x2_zf_avx(__m256 y0, __m256 y1,
__m256 h00, __m256 h01, __m256 h10, __m256 h11,
__m256 *x0, __m256 *x1,
float norm);
/* AVX implementation for Minimum Mean Squared Error (MMSE) solver */
SRSLTE_API void srslte_mat_2x2_mmse_avx(__m256 y0, __m256 y1,
__m256 h00, __m256 h01, __m256 h10, __m256 h11,
__m256 *x0, __m256 *x1,
float noise_estimate, float norm);
#endif /* LV_HAVE_AVX */
#if SRSLTE_SIMD_CF_SIZE != 0
/* Generic SIMD implementation for 2x2 determinant */
static inline simd_cf_t srslte_mat_2x2_det_simd(simd_cf_t a00, simd_cf_t a01, simd_cf_t a10, simd_cf_t a11) {
return srslte_simd_cf_sub(srslte_simd_cf_prod(a00, a11), srslte_simd_cf_prod(a01, a10));
}
/* Generic SIMD implementation for Zero Forcing (ZF) solver */
static inline void srslte_mat_2x2_zf_csi_simd(simd_cf_t y0,
simd_cf_t y1,
simd_cf_t h00,
simd_cf_t h01,
simd_cf_t h10,
simd_cf_t h11,
simd_cf_t *x0,
simd_cf_t *x1,
simd_f_t *csi0,
simd_f_t *csi1,
float norm) {
simd_cf_t det = srslte_mat_2x2_det_simd(h00, h01, h10, h11);
simd_cf_t detrec = srslte_simd_cf_mul(srslte_simd_cf_rcp(det), srslte_simd_f_set1(norm));
*x0 = srslte_simd_cf_prod(srslte_simd_cf_sub(srslte_simd_cf_prod(h11, y0), srslte_simd_cf_prod(h01, y1)), detrec);
*x1 = srslte_simd_cf_prod(srslte_simd_cf_sub(srslte_simd_cf_prod(h00, y1), srslte_simd_cf_prod(h10, y0)), detrec);
*csi0 = srslte_simd_f_set1(1.0f);
*csi1 = srslte_simd_f_set1(1.0f);
}
static inline void srslte_mat_2x2_zf_simd(simd_cf_t y0,
simd_cf_t y1,
simd_cf_t h00,
simd_cf_t h01,
simd_cf_t h10,
simd_cf_t h11,
simd_cf_t *x0,
simd_cf_t *x1,
float norm) {
simd_f_t csi1, csi2;
srslte_mat_2x2_zf_csi_simd(y0, y1, h00, h01, h10, h11, x0, x1, &csi1, &csi2, norm);
}
/* Generic SIMD implementation for Minimum Mean Squared Error (MMSE) solver */
static inline void srslte_mat_2x2_mmse_csi_simd(simd_cf_t y0,
simd_cf_t y1,
simd_cf_t h00,
simd_cf_t h01,
simd_cf_t h10,
simd_cf_t h11,
simd_cf_t *x0,
simd_cf_t *x1,
simd_f_t *csi0,
simd_f_t *csi1,
float noise_estimate,
float norm) {
simd_cf_t _noise_estimate;
simd_f_t _norm = srslte_simd_f_set1(norm);
_noise_estimate.re = srslte_simd_f_set1(noise_estimate);
_noise_estimate.im = srslte_simd_f_zero();
/* 1. A = H' x H + No*/
simd_cf_t a00 =
srslte_simd_cf_add(srslte_simd_cf_add(srslte_simd_cf_conjprod(h00, h00), srslte_simd_cf_conjprod(h10, h10)),
_noise_estimate);
simd_cf_t a01 = srslte_simd_cf_add(srslte_simd_cf_conjprod(h01, h00), srslte_simd_cf_conjprod(h11, h10));
simd_cf_t a10 = srslte_simd_cf_add(srslte_simd_cf_conjprod(h00, h01), srslte_simd_cf_conjprod(h10, h11));
simd_cf_t a11 =
srslte_simd_cf_add(srslte_simd_cf_add(srslte_simd_cf_conjprod(h01, h01), srslte_simd_cf_conjprod(h11, h11)),
_noise_estimate);
simd_cf_t a_det_rcp = srslte_simd_cf_rcp(srslte_mat_2x2_det_simd(a00, a01, a10, a11));
/* 2. B = inv(H' x H + No) = inv(A) */
simd_cf_t _norm2 = srslte_simd_cf_mul(a_det_rcp, _norm);
simd_cf_t b00 = srslte_simd_cf_prod(a11, _norm2);
simd_cf_t b01 = srslte_simd_cf_prod(srslte_simd_cf_neg(a01), _norm2);
simd_cf_t b10 = srslte_simd_cf_prod(srslte_simd_cf_neg(a10), _norm2);
simd_cf_t b11 = srslte_simd_cf_prod(a00, _norm2);
/* 3. W = inv(H' x H + No) x H' = B x H' */
simd_cf_t w00 = srslte_simd_cf_add(srslte_simd_cf_conjprod(b00, h00), srslte_simd_cf_conjprod(b01, h01));
simd_cf_t w01 = srslte_simd_cf_add(srslte_simd_cf_conjprod(b00, h10), srslte_simd_cf_conjprod(b01, h11));
simd_cf_t w10 = srslte_simd_cf_add(srslte_simd_cf_conjprod(b10, h00), srslte_simd_cf_conjprod(b11, h01));
simd_cf_t w11 = srslte_simd_cf_add(srslte_simd_cf_conjprod(b10, h10), srslte_simd_cf_conjprod(b11, h11));
/* 4. X = W x Y */
*x0 = srslte_simd_cf_add(srslte_simd_cf_prod(y0, w00), srslte_simd_cf_prod(y1, w01));
*x1 = srslte_simd_cf_add(srslte_simd_cf_prod(y0, w10), srslte_simd_cf_prod(y1, w11));
/* 5. Extract CSI */
*csi0 = srslte_simd_f_rcp(srslte_simd_cf_re(b00));
*csi1 = srslte_simd_f_rcp(srslte_simd_cf_re(b11));
}
static inline void srslte_mat_2x2_mmse_simd(simd_cf_t y0,
simd_cf_t y1,
simd_cf_t h00,
simd_cf_t h01,
simd_cf_t h10,
simd_cf_t h11,
simd_cf_t *x0,
simd_cf_t *x1,
float noise_estimate,
float norm) {
simd_f_t csi0, csi1;
srslte_mat_2x2_mmse_csi_simd(y0, y1, h00, h01, h10, h11, x0, x1, &csi0, &csi1, noise_estimate, norm);
}
#endif /* SRSLTE_SIMD_CF_SIZE != 0 */
#endif /* SRSLTE_MAT_H */