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Merge pull request #633 from Ka-zam/arctan
New kernels for arctan
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/* -*- c++ -*- */ | ||
/* | ||
* Copyright 2023 Magnus Lundmark <magnuslundmark@gmail.com> | ||
* | ||
* This file is part of VOLK | ||
* | ||
* SPDX-License-Identifier: LGPL-3.0-or-later | ||
*/ | ||
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/* | ||
* This file is intended to hold AVX2 FMA intrinsics of intrinsics. | ||
* They should be used in VOLK kernels to avoid copy-paste. | ||
*/ | ||
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#ifndef INCLUDE_VOLK_VOLK_AVX2_FMA_INTRINSICS_H_ | ||
#define INCLUDE_VOLK_VOLK_AVX2_FMA_INTRINSICS_H_ | ||
#include <immintrin.h> | ||
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/* | ||
* Approximate arctan(x) via polynomial expansion | ||
* on the interval [-1, 1] | ||
* | ||
* Maximum relative error ~6.5e-7 | ||
* Polynomial evaluated via Horner's method | ||
*/ | ||
static inline __m256 _m256_arctan_poly_avx2_fma(const __m256 x) | ||
{ | ||
const __m256 a1 = _mm256_set1_ps(+0x1.ffffeap-1f); | ||
const __m256 a3 = _mm256_set1_ps(-0x1.55437p-2f); | ||
const __m256 a5 = _mm256_set1_ps(+0x1.972be6p-3f); | ||
const __m256 a7 = _mm256_set1_ps(-0x1.1436ap-3f); | ||
const __m256 a9 = _mm256_set1_ps(+0x1.5785aap-4f); | ||
const __m256 a11 = _mm256_set1_ps(-0x1.2f3004p-5f); | ||
const __m256 a13 = _mm256_set1_ps(+0x1.01a37cp-7f); | ||
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const __m256 x_times_x = _mm256_mul_ps(x, x); | ||
__m256 arctan; | ||
arctan = a13; | ||
arctan = _mm256_fmadd_ps(x_times_x, arctan, a11); | ||
arctan = _mm256_fmadd_ps(x_times_x, arctan, a9); | ||
arctan = _mm256_fmadd_ps(x_times_x, arctan, a7); | ||
arctan = _mm256_fmadd_ps(x_times_x, arctan, a5); | ||
arctan = _mm256_fmadd_ps(x_times_x, arctan, a3); | ||
arctan = _mm256_fmadd_ps(x_times_x, arctan, a1); | ||
arctan = _mm256_mul_ps(x, arctan); | ||
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return arctan; | ||
} | ||
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#endif /* INCLUDE_VOLK_VOLK_AVX2_FMA_INTRINSICS_H_ */ |
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