volk_32f_atan_32f.h

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/* -*- c++ -*- */
/*
 * Copyright 2014 Free Software Foundation, Inc.
 *
 * This file is part of VOLK
 *
 * SPDX-License-Identifier: LGPL-3.0-or-later
 */
 
#include <inttypes.h>
#include <math.h>
#include <stdio.h>
 
/* This is the number of terms of Taylor series to evaluate, increase this for more
 * accuracy*/
#define TERMS 2
 
#ifndef INCLUDED_volk_32f_atan_32f_a_H
#define INCLUDED_volk_32f_atan_32f_a_H
 
#if LV_HAVE_AVX2 && LV_HAVE_FMA
#include <immintrin.h>
 
static inline void volk_32f_atan_32f_a_avx2_fma(float* bVector,
                                                const float* aVector,
                                                unsigned int num_points)
{
    float* bPtr = bVector;
    const float* aPtr = aVector;
 
    unsigned int number = 0;
    unsigned int eighthPoints = num_points / 8;
    int i, j;
 
    __m256 aVal, pio2, x, y, z, arctangent;
    __m256 fzeroes, fones, ftwos, ffours, condition;
 
    pio2 = _mm256_set1_ps(3.14159265358979323846 / 2);
    fzeroes = _mm256_setzero_ps();
    fones = _mm256_set1_ps(1.0);
    ftwos = _mm256_set1_ps(2.0);
    ffours = _mm256_set1_ps(4.0);
 
    for (; number < eighthPoints; number++) {
        aVal = _mm256_load_ps(aPtr);
        z = aVal;
        condition = _mm256_cmp_ps(z, fzeroes, _CMP_LT_OS);
        z = _mm256_sub_ps(z, _mm256_and_ps(_mm256_mul_ps(z, ftwos), condition));
        condition = _mm256_cmp_ps(z, fones, _CMP_LT_OS);
        x = _mm256_add_ps(
            z, _mm256_and_ps(_mm256_sub_ps(_mm256_div_ps(fones, z), z), condition));
 
        for (i = 0; i < 2; i++) {
            x = _mm256_add_ps(x, _mm256_sqrt_ps(_mm256_fmadd_ps(x, x, fones)));
        }
        x = _mm256_div_ps(fones, x);
        y = fzeroes;
        for (j = TERMS - 1; j >= 0; j--) {
            y = _mm256_fmadd_ps(
                y, _mm256_mul_ps(x, x), _mm256_set1_ps(pow(-1, j) / (2 * j + 1)));
        }
 
        y = _mm256_mul_ps(y, _mm256_mul_ps(x, ffours));
        condition = _mm256_cmp_ps(z, fones, _CMP_GT_OS);
 
        y = _mm256_add_ps(y, _mm256_and_ps(_mm256_fnmadd_ps(y, ftwos, pio2), condition));
        arctangent = y;
        condition = _mm256_cmp_ps(aVal, fzeroes, _CMP_LT_OS);
        arctangent = _mm256_sub_ps(
            arctangent, _mm256_and_ps(_mm256_mul_ps(arctangent, ftwos), condition));
 
        _mm256_store_ps(bPtr, arctangent);
        aPtr += 8;
        bPtr += 8;
    }
 
    number = eighthPoints * 8;
    for (; number < num_points; number++) {
        *bPtr++ = atan(*aPtr++);
    }
}
 
#endif /* LV_HAVE_AVX2 && LV_HAVE_FMA for aligned */
 
 
#ifdef LV_HAVE_AVX
#include <immintrin.h>
 
static inline void
volk_32f_atan_32f_a_avx(float* bVector, const float* aVector, unsigned int num_points)
{
    float* bPtr = bVector;
    const float* aPtr = aVector;
 
    unsigned int number = 0;
    unsigned int eighthPoints = num_points / 8;
    int i, j;
 
    __m256 aVal, pio2, x, y, z, arctangent;
    __m256 fzeroes, fones, ftwos, ffours, condition;
 
    pio2 = _mm256_set1_ps(3.14159265358979323846 / 2);
    fzeroes = _mm256_setzero_ps();
    fones = _mm256_set1_ps(1.0);
    ftwos = _mm256_set1_ps(2.0);
    ffours = _mm256_set1_ps(4.0);
 
    for (; number < eighthPoints; number++) {
        aVal = _mm256_load_ps(aPtr);
        z = aVal;
        condition = _mm256_cmp_ps(z, fzeroes, _CMP_LT_OS);
        z = _mm256_sub_ps(z, _mm256_and_ps(_mm256_mul_ps(z, ftwos), condition));
        condition = _mm256_cmp_ps(z, fones, _CMP_LT_OS);
        x = _mm256_add_ps(
            z, _mm256_and_ps(_mm256_sub_ps(_mm256_div_ps(fones, z), z), condition));
 
        for (i = 0; i < 2; i++) {
            x = _mm256_add_ps(x,
                              _mm256_sqrt_ps(_mm256_add_ps(fones, _mm256_mul_ps(x, x))));
        }
        x = _mm256_div_ps(fones, x);
        y = fzeroes;
        for (j = TERMS - 1; j >= 0; j--) {
            y = _mm256_add_ps(_mm256_mul_ps(y, _mm256_mul_ps(x, x)),
                              _mm256_set1_ps(pow(-1, j) / (2 * j + 1)));
        }
 
        y = _mm256_mul_ps(y, _mm256_mul_ps(x, ffours));
        condition = _mm256_cmp_ps(z, fones, _CMP_GT_OS);
 
        y = _mm256_add_ps(
            y, _mm256_and_ps(_mm256_sub_ps(pio2, _mm256_mul_ps(y, ftwos)), condition));
        arctangent = y;
        condition = _mm256_cmp_ps(aVal, fzeroes, _CMP_LT_OS);
        arctangent = _mm256_sub_ps(
            arctangent, _mm256_and_ps(_mm256_mul_ps(arctangent, ftwos), condition));
 
        _mm256_store_ps(bPtr, arctangent);
        aPtr += 8;
        bPtr += 8;
    }
 
    number = eighthPoints * 8;
    for (; number < num_points; number++) {
        *bPtr++ = atan(*aPtr++);
    }
}
 
#endif /* LV_HAVE_AVX for aligned */
 
#ifdef LV_HAVE_SSE4_1
#include <smmintrin.h>
 
static inline void
volk_32f_atan_32f_a_sse4_1(float* bVector, const float* aVector, unsigned int num_points)
{
    float* bPtr = bVector;
    const float* aPtr = aVector;
 
    unsigned int number = 0;
    unsigned int quarterPoints = num_points / 4;
    int i, j;
 
    __m128 aVal, pio2, x, y, z, arctangent;
    __m128 fzeroes, fones, ftwos, ffours, condition;
 
    pio2 = _mm_set1_ps(3.14159265358979323846 / 2);
    fzeroes = _mm_setzero_ps();
    fones = _mm_set1_ps(1.0);
    ftwos = _mm_set1_ps(2.0);
    ffours = _mm_set1_ps(4.0);
 
    for (; number < quarterPoints; number++) {
        aVal = _mm_load_ps(aPtr);
        z = aVal;
        condition = _mm_cmplt_ps(z, fzeroes);
        z = _mm_sub_ps(z, _mm_and_ps(_mm_mul_ps(z, ftwos), condition));
        condition = _mm_cmplt_ps(z, fones);
        x = _mm_add_ps(z, _mm_and_ps(_mm_sub_ps(_mm_div_ps(fones, z), z), condition));
 
        for (i = 0; i < 2; i++) {
            x = _mm_add_ps(x, _mm_sqrt_ps(_mm_add_ps(fones, _mm_mul_ps(x, x))));
        }
        x = _mm_div_ps(fones, x);
        y = fzeroes;
        for (j = TERMS - 1; j >= 0; j--) {
            y = _mm_add_ps(_mm_mul_ps(y, _mm_mul_ps(x, x)),
                           _mm_set1_ps(pow(-1, j) / (2 * j + 1)));
        }
 
        y = _mm_mul_ps(y, _mm_mul_ps(x, ffours));
        condition = _mm_cmpgt_ps(z, fones);
 
        y = _mm_add_ps(y, _mm_and_ps(_mm_sub_ps(pio2, _mm_mul_ps(y, ftwos)), condition));
        arctangent = y;
        condition = _mm_cmplt_ps(aVal, fzeroes);
        arctangent =
            _mm_sub_ps(arctangent, _mm_and_ps(_mm_mul_ps(arctangent, ftwos), condition));
 
        _mm_store_ps(bPtr, arctangent);
        aPtr += 4;
        bPtr += 4;
    }
 
    number = quarterPoints * 4;
    for (; number < num_points; number++) {
        *bPtr++ = atanf(*aPtr++);
    }
}
 
#endif /* LV_HAVE_SSE4_1 for aligned */
 
#endif /* INCLUDED_volk_32f_atan_32f_a_H */
 
#ifndef INCLUDED_volk_32f_atan_32f_u_H
#define INCLUDED_volk_32f_atan_32f_u_H
 
#if LV_HAVE_AVX2 && LV_HAVE_FMA
#include <immintrin.h>
 
static inline void volk_32f_atan_32f_u_avx2_fma(float* bVector,
                                                const float* aVector,
                                                unsigned int num_points)
{
    float* bPtr = bVector;
    const float* aPtr = aVector;
 
    unsigned int number = 0;
    unsigned int eighthPoints = num_points / 8;
    int i, j;
 
    __m256 aVal, pio2, x, y, z, arctangent;
    __m256 fzeroes, fones, ftwos, ffours, condition;
 
    pio2 = _mm256_set1_ps(3.14159265358979323846 / 2);
    fzeroes = _mm256_setzero_ps();
    fones = _mm256_set1_ps(1.0);
    ftwos = _mm256_set1_ps(2.0);
    ffours = _mm256_set1_ps(4.0);
 
    for (; number < eighthPoints; number++) {
        aVal = _mm256_loadu_ps(aPtr);
        z = aVal;
        condition = _mm256_cmp_ps(z, fzeroes, _CMP_LT_OS);
        z = _mm256_sub_ps(z, _mm256_and_ps(_mm256_mul_ps(z, ftwos), condition));
        condition = _mm256_cmp_ps(z, fones, _CMP_LT_OS);
        x = _mm256_add_ps(
            z, _mm256_and_ps(_mm256_sub_ps(_mm256_div_ps(fones, z), z), condition));
 
        for (i = 0; i < 2; i++) {
            x = _mm256_add_ps(x, _mm256_sqrt_ps(_mm256_fmadd_ps(x, x, fones)));
        }
        x = _mm256_div_ps(fones, x);
        y = fzeroes;
        for (j = TERMS - 1; j >= 0; j--) {
            y = _mm256_fmadd_ps(
                y, _mm256_mul_ps(x, x), _mm256_set1_ps(pow(-1, j) / (2 * j + 1)));
        }
 
        y = _mm256_mul_ps(y, _mm256_mul_ps(x, ffours));
        condition = _mm256_cmp_ps(z, fones, _CMP_GT_OS);
 
        y = _mm256_add_ps(y, _mm256_and_ps(_mm256_fnmadd_ps(y, ftwos, pio2), condition));
        arctangent = y;
        condition = _mm256_cmp_ps(aVal, fzeroes, _CMP_LT_OS);
        arctangent = _mm256_sub_ps(
            arctangent, _mm256_and_ps(_mm256_mul_ps(arctangent, ftwos), condition));
 
        _mm256_storeu_ps(bPtr, arctangent);
        aPtr += 8;
        bPtr += 8;
    }
 
    number = eighthPoints * 8;
    for (; number < num_points; number++) {
        *bPtr++ = atan(*aPtr++);
    }
}
 
#endif /* LV_HAVE_AVX2 && LV_HAVE_FMA for unaligned */
 
 
#ifdef LV_HAVE_AVX
#include <immintrin.h>
 
static inline void
volk_32f_atan_32f_u_avx(float* bVector, const float* aVector, unsigned int num_points)
{
    float* bPtr = bVector;
    const float* aPtr = aVector;
 
    unsigned int number = 0;
    unsigned int eighthPoints = num_points / 8;
    int i, j;
 
    __m256 aVal, pio2, x, y, z, arctangent;
    __m256 fzeroes, fones, ftwos, ffours, condition;
 
    pio2 = _mm256_set1_ps(3.14159265358979323846 / 2);
    fzeroes = _mm256_setzero_ps();
    fones = _mm256_set1_ps(1.0);
    ftwos = _mm256_set1_ps(2.0);
    ffours = _mm256_set1_ps(4.0);
 
    for (; number < eighthPoints; number++) {
        aVal = _mm256_loadu_ps(aPtr);
        z = aVal;
        condition = _mm256_cmp_ps(z, fzeroes, _CMP_LT_OS);
        z = _mm256_sub_ps(z, _mm256_and_ps(_mm256_mul_ps(z, ftwos), condition));
        condition = _mm256_cmp_ps(z, fones, _CMP_LT_OS);
        x = _mm256_add_ps(
            z, _mm256_and_ps(_mm256_sub_ps(_mm256_div_ps(fones, z), z), condition));
 
        for (i = 0; i < 2; i++) {
            x = _mm256_add_ps(x,
                              _mm256_sqrt_ps(_mm256_add_ps(fones, _mm256_mul_ps(x, x))));
        }
        x = _mm256_div_ps(fones, x);
        y = fzeroes;
        for (j = TERMS - 1; j >= 0; j--) {
            y = _mm256_add_ps(_mm256_mul_ps(y, _mm256_mul_ps(x, x)),
                              _mm256_set1_ps(pow(-1, j) / (2 * j + 1)));
        }
 
        y = _mm256_mul_ps(y, _mm256_mul_ps(x, ffours));
        condition = _mm256_cmp_ps(z, fones, _CMP_GT_OS);
 
        y = _mm256_add_ps(
            y, _mm256_and_ps(_mm256_sub_ps(pio2, _mm256_mul_ps(y, ftwos)), condition));
        arctangent = y;
        condition = _mm256_cmp_ps(aVal, fzeroes, _CMP_LT_OS);
        arctangent = _mm256_sub_ps(
            arctangent, _mm256_and_ps(_mm256_mul_ps(arctangent, ftwos), condition));
 
        _mm256_storeu_ps(bPtr, arctangent);
        aPtr += 8;
        bPtr += 8;
    }
 
    number = eighthPoints * 8;
    for (; number < num_points; number++) {
        *bPtr++ = atan(*aPtr++);
    }
}
 
#endif /* LV_HAVE_AVX for unaligned */
 
#ifdef LV_HAVE_SSE4_1
#include <smmintrin.h>
 
static inline void
volk_32f_atan_32f_u_sse4_1(float* bVector, const float* aVector, unsigned int num_points)
{
    float* bPtr = bVector;
    const float* aPtr = aVector;
 
    unsigned int number = 0;
    unsigned int quarterPoints = num_points / 4;
    int i, j;
 
    __m128 aVal, pio2, x, y, z, arctangent;
    __m128 fzeroes, fones, ftwos, ffours, condition;
 
    pio2 = _mm_set1_ps(3.14159265358979323846 / 2);
    fzeroes = _mm_setzero_ps();
    fones = _mm_set1_ps(1.0);
    ftwos = _mm_set1_ps(2.0);
    ffours = _mm_set1_ps(4.0);
 
    for (; number < quarterPoints; number++) {
        aVal = _mm_loadu_ps(aPtr);
        z = aVal;
        condition = _mm_cmplt_ps(z, fzeroes);
        z = _mm_sub_ps(z, _mm_and_ps(_mm_mul_ps(z, ftwos), condition));
        condition = _mm_cmplt_ps(z, fones);
        x = _mm_add_ps(z, _mm_and_ps(_mm_sub_ps(_mm_div_ps(fones, z), z), condition));
 
        for (i = 0; i < 2; i++)
            x = _mm_add_ps(x, _mm_sqrt_ps(_mm_add_ps(fones, _mm_mul_ps(x, x))));
        x = _mm_div_ps(fones, x);
        y = fzeroes;
        for (j = TERMS - 1; j >= 0; j--)
            y = _mm_add_ps(_mm_mul_ps(y, _mm_mul_ps(x, x)),
                           _mm_set1_ps(pow(-1, j) / (2 * j + 1)));
 
        y = _mm_mul_ps(y, _mm_mul_ps(x, ffours));
        condition = _mm_cmpgt_ps(z, fones);
 
        y = _mm_add_ps(y, _mm_and_ps(_mm_sub_ps(pio2, _mm_mul_ps(y, ftwos)), condition));
        arctangent = y;
        condition = _mm_cmplt_ps(aVal, fzeroes);
        arctangent =
            _mm_sub_ps(arctangent, _mm_and_ps(_mm_mul_ps(arctangent, ftwos), condition));
 
        _mm_storeu_ps(bPtr, arctangent);
        aPtr += 4;
        bPtr += 4;
    }
 
    number = quarterPoints * 4;
    for (; number < num_points; number++) {
        *bPtr++ = atanf(*aPtr++);
    }
}
 
#endif /* LV_HAVE_SSE4_1 for unaligned */
 
#ifdef LV_HAVE_GENERIC
 
static inline void
volk_32f_atan_32f_generic(float* bVector, const float* aVector, unsigned int num_points)
{
    float* bPtr = bVector;
    const float* aPtr = aVector;
    unsigned int number = 0;
 
    for (number = 0; number < num_points; number++) {
        *bPtr++ = atanf(*aPtr++);
    }
}
#endif /* LV_HAVE_GENERIC */
 
#endif /* INCLUDED_volk_32f_atan_32f_u_H */