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simd_utils_avx512_double.h
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/*
* Project : SIMD_Utils
* Version : 0.2.5
* Author : JishinMaster
* Licence : BSD-2
*/
#pragma once
#include <stdint.h>
#include "immintrin.h"
static inline void set512d(double *dst, double value, int len)
{
const v8sd tmp = _mm512_set1_pd(value);
int stop_len = len / AVX512_LEN_DOUBLE;
stop_len *= AVX512_LEN_DOUBLE;
if (isAligned((uintptr_t) (dst), AVX512_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
_mm512_store_pd(dst + i, tmp);
}
} else {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
_mm512_storeu_pd(dst + i, tmp);
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = value;
}
}
static inline void zero512d(double *dst, int len)
{
const v8sd tmp = _mm512_setzero_pd();
int stop_len = len / AVX512_LEN_DOUBLE;
stop_len *= AVX512_LEN_DOUBLE;
if (isAligned((uintptr_t) (dst), AVX512_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
_mm512_store_pd(dst + i, tmp);
}
} else {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
_mm512_storeu_pd(dst + i, tmp);
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = 0.0;
}
}
static inline void copy512d(double *src, double *dst, int len)
{
int stop_len = len / AVX512_LEN_DOUBLE;
stop_len *= AVX512_LEN_DOUBLE;
if (areAligned2((uintptr_t) (src), (uintptr_t) (dst), AVX512_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
_mm512_store_pd(dst + i, _mm512_load_pd(src + i));
}
} else {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
_mm512_storeu_pd(dst + i, _mm512_loadu_pd(src + i));
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = src[i];
}
}
static inline void sqrt512d(double *src, double *dst, int len)
{
int stop_len = len / AVX512_LEN_DOUBLE;
stop_len *= AVX512_LEN_DOUBLE;
if (areAligned2((uintptr_t) (src), (uintptr_t) (dst), AVX512_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
_mm512_store_pd(dst + i, _mm512_sqrt_pd(_mm512_load_pd(src + i)));
}
} else {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
_mm512_storeu_pd(dst + i, _mm512_sqrt_pd(_mm512_loadu_pd(src + i)));
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = sqrt(src[i]);
}
}
static inline void add512d(double *src1, double *src2, double *dst, int len)
{
int stop_len = len / AVX512_LEN_DOUBLE;
stop_len *= AVX512_LEN_DOUBLE;
if (areAligned3((uintptr_t) (src1), (uintptr_t) (src2), (uintptr_t) (dst), AVX512_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
_mm512_store_pd(dst + i, _mm512_add_pd(_mm512_load_pd(src1 + i), _mm512_load_pd(src2 + i)));
}
} else {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
_mm512_storeu_pd(dst + i, _mm512_add_pd(_mm512_loadu_pd(src1 + i), _mm512_loadu_pd(src2 + i)));
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = src1[i] + src2[i];
}
}
static inline void mul512d(double *src1, double *src2, double *dst, int len)
{
int stop_len = len / AVX512_LEN_DOUBLE;
stop_len *= AVX512_LEN_DOUBLE;
if (areAligned3((uintptr_t) (src1), (uintptr_t) (src2), (uintptr_t) (dst), AVX512_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
_mm512_store_pd(dst + i, _mm512_mul_pd(_mm512_load_pd(src1 + i), _mm512_load_pd(src2 + i)));
}
} else {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
_mm512_storeu_pd(dst + i, _mm512_mul_pd(_mm512_loadu_pd(src1 + i), _mm512_loadu_pd(src2 + i)));
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = src1[i] * src2[i];
}
}
static inline void sub512d(double *src1, double *src2, double *dst, int len)
{
int stop_len = len / AVX512_LEN_DOUBLE;
stop_len *= AVX512_LEN_DOUBLE;
if (areAligned3((uintptr_t) (src1), (uintptr_t) (src2), (uintptr_t) (dst), AVX512_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
_mm512_store_pd(dst + i, _mm512_sub_pd(_mm512_load_pd(src1 + i), _mm512_load_pd(src2 + i)));
}
} else {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
_mm512_storeu_pd(dst + i, _mm512_sub_pd(_mm512_loadu_pd(src1 + i), _mm512_loadu_pd(src2 + i)));
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = src1[i] - src2[i];
}
}
static inline void div512d(double *src1, double *src2, double *dst, int len)
{
int stop_len = len / AVX512_LEN_DOUBLE;
stop_len *= AVX512_LEN_DOUBLE;
if (areAligned3((uintptr_t) (src1), (uintptr_t) (src2), (uintptr_t) (dst), AVX512_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
_mm512_store_pd(dst + i, _mm512_div_pd(_mm512_load_pd(src1 + i), _mm512_load_pd(src2 + i)));
}
} else {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
_mm512_storeu_pd(dst + i, _mm512_div_pd(_mm512_loadu_pd(src1 + i), _mm512_loadu_pd(src2 + i)));
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = src1[i] / src2[i];
}
}
// TODO : "Immediate add/mul?"
static inline void addc512d(double *src, double value, double *dst, int len)
{
const v8sd tmp = _mm512_set1_pd(value);
int stop_len = len / AVX512_LEN_DOUBLE;
stop_len *= AVX512_LEN_DOUBLE;
if (areAligned2((uintptr_t) (src), (uintptr_t) (dst), AVX512_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
_mm512_store_pd(dst + i, _mm512_add_pd(tmp, _mm512_load_pd(src + i)));
}
} else {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
_mm512_storeu_pd(dst + i, _mm512_add_pd(tmp, _mm512_loadu_pd(src + i)));
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = src[i] + value;
}
}
static inline void mulc512d(double *src, double value, double *dst, int len)
{
const v8sd tmp = _mm512_set1_pd(value);
int stop_len = len / AVX512_LEN_DOUBLE;
stop_len *= AVX512_LEN_DOUBLE;
if (areAligned2((uintptr_t) (src), (uintptr_t) (dst), AVX512_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
_mm512_store_pd(dst + i, _mm512_mul_pd(tmp, _mm512_load_pd(src + i)));
}
} else {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
_mm512_storeu_pd(dst + i, _mm512_mul_pd(tmp, _mm512_loadu_pd(src + i)));
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = src[i] * value;
}
}
static inline void muladd512d(double *_a, double *_b, double *_c, double *dst, int len)
{
int stop_len = len / AVX512_LEN_DOUBLE;
stop_len *= AVX512_LEN_DOUBLE;
if (areAligned2((uintptr_t) (_a), (uintptr_t) (_b), AVX512_LEN_BYTES) &&
areAligned2((uintptr_t) (_c), (uintptr_t) (dst), AVX512_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
v8sd a = _mm512_load_pd(_a + i);
v8sd b = _mm512_load_pd(_b + i);
v8sd c = _mm512_load_pd(_c + i);
_mm512_store_pd(dst + i, _mm512_fmadd_pd_custom(a, b, c));
}
} else {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
v8sd a = _mm512_loadu_pd(_a + i);
v8sd b = _mm512_loadu_pd(_b + i);
v8sd c = _mm512_loadu_pd(_c + i);
_mm512_storeu_pd(dst + i, _mm512_fmadd_pd_custom(a, b, c));
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = _a[i] * _b[i] + _c[i];
}
}
static inline void mulcadd512d(double *_a, double _b, double *_c, double *dst, int len)
{
v8sd b = _mm512_set1_pd(_b);
int stop_len = len / AVX512_LEN_DOUBLE;
stop_len *= AVX512_LEN_DOUBLE;
if (areAligned3((uintptr_t) (_a), (uintptr_t) (_c), (uintptr_t) (dst), AVX512_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
v8sd a = _mm512_load_pd(_a + i);
v8sd c = _mm512_load_pd(_c + i);
_mm512_store_pd(dst + i, _mm512_fmadd_pd_custom(a, b, c));
}
} else {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
v8sd a = _mm512_loadu_pd(_a + i);
v8sd c = _mm512_loadu_pd(_c + i);
_mm512_storeu_pd(dst + i, _mm512_fmadd_pd_custom(a, b, c));
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = _a[i] * _b + _c[i];
}
}
static inline void mulcaddc512d(double *_a, double _b, double _c, double *dst, int len)
{
v8sd b = _mm512_set1_pd(_b);
v8sd c = _mm512_set1_pd(_c);
int stop_len = len / AVX512_LEN_DOUBLE;
stop_len *= AVX512_LEN_DOUBLE;
if (areAligned2((uintptr_t) (_a), (uintptr_t) (dst), AVX512_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
v8sd a = _mm512_loadu_pd(_a + i);
_mm512_store_pd(dst + i, _mm512_fmadd_pd_custom(a, b, c));
}
} else {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
v8sd a = _mm512_loadu_pd(_a + i);
_mm512_storeu_pd(dst + i, _mm512_fmadd_pd_custom(a, b, c));
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = _a[i] * _b + _c;
}
}
static inline void muladdc512d(double *_a, double *_b, double _c, double *dst, int len)
{
v8sd c = _mm512_set1_pd(_c);
int stop_len = len / AVX512_LEN_DOUBLE;
stop_len *= AVX512_LEN_DOUBLE;
if (areAligned3((uintptr_t) (_a), (uintptr_t) (_b), (uintptr_t) (dst), AVX512_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
v8sd a = _mm512_load_pd(_a + i);
v8sd b = _mm512_load_pd(_b + i);
_mm512_store_pd(dst + i, _mm512_fmadd_pd_custom(a, b, c));
}
} else {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
v8sd a = _mm512_loadu_pd(_a + i);
v8sd b = _mm512_loadu_pd(_b + i);
_mm512_storeu_pd(dst + i, _mm512_fmadd_pd_custom(a, b, c));
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = _a[i] * _b[i] + _c;
}
}
static inline void round512d(double *src, double *dst, int len)
{
int stop_len = len / AVX512_LEN_DOUBLE;
stop_len *= AVX512_LEN_DOUBLE;
if (areAligned2((uintptr_t) (src), (uintptr_t) (dst), AVX512_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
v8sd src_tmp = _mm512_load_pd(src + i);
_mm512_store_pd(dst + i, _mm512_roundscale_pd(src_tmp, _MM_FROUND_TO_NEAREST_INT | _MM_FROUND_NO_EXC));
}
} else {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
v8sd src_tmp = _mm512_loadu_pd(src + i);
_mm512_storeu_pd(dst + i, _mm512_roundscale_pd(src_tmp, _MM_FROUND_TO_NEAREST_INT | _MM_FROUND_NO_EXC));
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = round(src[i]);
}
}
static inline void ceil512d(double *src, double *dst, int len)
{
int stop_len = len / AVX512_LEN_DOUBLE;
stop_len *= AVX512_LEN_DOUBLE;
if (areAligned2((uintptr_t) (src), (uintptr_t) (dst), AVX512_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
v8sd src_tmp = _mm512_load_pd(src + i);
_mm512_store_pd(dst + i, _mm512_roundscale_pd(src_tmp, _MM_FROUND_TO_POS_INF | _MM_FROUND_NO_EXC));
}
} else {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
v8sd src_tmp = _mm512_loadu_pd(src + i);
_mm512_storeu_pd(dst + i, _mm512_roundscale_pd(src_tmp, _MM_FROUND_TO_POS_INF | _MM_FROUND_NO_EXC));
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = ceil(src[i]);
}
}
static inline void floor512d(double *src, double *dst, int len)
{
int stop_len = len / AVX512_LEN_DOUBLE;
stop_len *= AVX512_LEN_DOUBLE;
if (areAligned2((uintptr_t) (src), (uintptr_t) (dst), AVX512_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
v8sd src_tmp = _mm512_load_pd(src + i);
_mm512_store_pd(dst + i, _mm512_roundscale_pd(src_tmp, _MM_FROUND_TO_NEG_INF | _MM_FROUND_NO_EXC));
}
} else {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
v8sd src_tmp = _mm512_loadu_pd(src + i);
_mm512_storeu_pd(dst + i, _mm512_roundscale_pd(src_tmp, _MM_FROUND_TO_NEG_INF | _MM_FROUND_NO_EXC));
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = floor(src[i]);
}
}
static inline void trunc512d(double *src, double *dst, int len)
{
int stop_len = len / AVX512_LEN_DOUBLE;
stop_len *= AVX512_LEN_DOUBLE;
if (areAligned2((uintptr_t) (src), (uintptr_t) (dst), AVX512_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
v8sd src_tmp = _mm512_load_pd(src + i);
_mm512_store_pd(dst + i, _mm512_roundscale_pd(src_tmp, _MM_FROUND_TO_ZERO | _MM_FROUND_NO_EXC));
}
} else {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
v8sd src_tmp = _mm512_loadu_pd(src + i);
_mm512_storeu_pd(dst + i, _mm512_roundscale_pd(src_tmp, _MM_FROUND_TO_ZERO | _MM_FROUND_NO_EXC));
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = trunc(src[i]);
}
}
static inline void vectorSlope512d(double *dst, int len, double offset, double slope)
{
v8sd coef = _mm512_set_pd(7.0 * slope, 6.0 * slope, 5.0 * slope, 4.0 * slope, 3.0 * slope, 2.0 * slope, slope, 0.0);
v8sd slope16_vec = _mm512_set1_pd(16.0 * slope);
v8sd curVal = _mm512_add_pd(_mm512_set1_pd(offset), coef);
v8sd curVal2 = _mm512_add_pd(_mm512_set1_pd(offset), coef);
curVal2 = _mm512_add_pd(curVal2, _mm512_set1_pd(8.0 * slope));
int stop_len = len / (2 * AVX512_LEN_DOUBLE);
stop_len *= (2 * AVX512_LEN_DOUBLE);
if (len >= AVX512_LEN_DOUBLE) {
if (isAligned((uintptr_t) (dst), AVX512_LEN_BYTES)) {
_mm512_store_pd(dst + 0, curVal);
_mm512_store_pd(dst + AVX512_LEN_DOUBLE, curVal2);
} else {
_mm512_storeu_pd(dst + 0, curVal);
_mm512_storeu_pd(dst + AVX512_LEN_DOUBLE, curVal2);
}
if (isAligned((uintptr_t) (dst), AVX512_LEN_BYTES)) {
for (int i = 2 * AVX512_LEN_DOUBLE; i < stop_len; i += 2 * AVX512_LEN_DOUBLE) {
curVal = _mm512_add_pd(curVal, slope16_vec);
_mm512_store_pd(dst + i, curVal);
curVal2 = _mm512_add_pd(curVal2, slope16_vec);
_mm512_store_pd(dst + i + AVX512_LEN_DOUBLE, curVal2);
}
} else {
for (int i = 2 * AVX512_LEN_DOUBLE; i < stop_len; i += 2 * AVX512_LEN_DOUBLE) {
curVal = _mm512_add_pd(curVal, slope16_vec);
_mm512_storeu_pd(dst + i, curVal);
curVal2 = _mm512_add_pd(curVal2, slope16_vec);
_mm512_storeu_pd(dst + i + AVX512_LEN_DOUBLE, curVal2);
}
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = offset + slope * (double) i;
}
}
static inline void cplxtoreal512d(complex64_t *src, double *dstRe, double *dstIm, int len)
{
int stop_len = 2 * len / (4 * AVX512_LEN_DOUBLE);
stop_len *= 4 * AVX512_LEN_DOUBLE;
int j = 0;
if (areAligned3((uintptr_t) (src), (uintptr_t) (dstRe), (uintptr_t) (dstIm), AVX512_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += 4 * AVX512_LEN_DOUBLE) {
v8sdx2 vec1 = _mm512_load2_pd((double const *) (src) + i);
v8sdx2 vec2 = _mm512_load2_pd((double const *) (src) + i + 2 * AVX512_LEN_DOUBLE);
_mm512_store_pd(dstRe + j, vec1.val[0]);
_mm512_store_pd(dstIm + j, vec1.val[1]);
_mm512_store_pd(dstRe + j + AVX512_LEN_DOUBLE, vec2.val[0]);
_mm512_store_pd(dstIm + j + AVX512_LEN_DOUBLE, vec2.val[1]);
j += 2 * AVX512_LEN_DOUBLE;
}
} else {
for (int i = 0; i < stop_len; i += 4 * AVX512_LEN_DOUBLE) {
v8sdx2 vec1 = _mm512_load2u_pd((double const *) (src) + i);
v8sdx2 vec2 = _mm512_load2u_pd((double const *) (src) + i + 2 * AVX512_LEN_DOUBLE);
_mm512_storeu_pd(dstRe + j, vec1.val[0]);
_mm512_storeu_pd(dstIm + j, vec1.val[1]);
_mm512_storeu_pd(dstRe + j + AVX512_LEN_DOUBLE, vec2.val[0]);
_mm512_storeu_pd(dstIm + j + AVX512_LEN_DOUBLE, vec2.val[1]);
j += 2 * AVX512_LEN_DOUBLE;
}
}
for (int i = j; i < len; i++) {
dstRe[i] = src[i].re;
dstIm[i] = src[i].im;
}
}
static inline void realtocplx512d(double *srcRe, double *srcIm, complex64_t *dst, int len)
{
int stop_len = len / (2 * AVX512_LEN_DOUBLE);
stop_len *= 2 * AVX512_LEN_DOUBLE;
int j = 0;
if (areAligned3((uintptr_t) (srcRe), (uintptr_t) (srcIm), (uintptr_t) (dst), AVX512_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += 2 * AVX512_LEN_DOUBLE) {
v8sd re = _mm512_load_pd(srcRe + i);
v8sd im = _mm512_load_pd(srcIm + i);
v8sd re2 = _mm512_load_pd(srcRe + i + AVX512_LEN_DOUBLE);
v8sd im2 = _mm512_load_pd(srcIm + i + AVX512_LEN_DOUBLE);
v8sdx2 reim = {{re, im}};
v8sdx2 reim2 = {{re2, im2}};
_mm512_store2_pd((double *) (dst) + j, reim);
_mm512_store2_pd((double *) (dst) + j + 2 * AVX512_LEN_DOUBLE, reim2);
j += 4 * AVX512_LEN_DOUBLE;
}
} else {
for (int i = 0; i < stop_len; i += 2 * AVX512_LEN_DOUBLE) {
v8sd re = _mm512_loadu_pd(srcRe + i);
v8sd im = _mm512_loadu_pd(srcIm + i);
v8sd re2 = _mm512_loadu_pd(srcRe + i + AVX512_LEN_DOUBLE);
v8sd im2 = _mm512_loadu_pd(srcIm + i + AVX512_LEN_DOUBLE);
v8sdx2 reim = {{re, im}};
v8sdx2 reim2 = {{re2, im2}};
_mm512_store2u_pd((double *) (dst) + j, reim);
_mm512_store2u_pd((double *) (dst) + j + 2 * AVX512_LEN_DOUBLE, reim2);
j += 4 * AVX512_LEN_DOUBLE;
}
}
for (int i = stop_len; i < len; i++) {
dst[i].re = srcRe[i];
dst[i].im = srcIm[i];
}
}
static inline v8sd asin512_pd(v8sd x)
{
v8sd a, z;
//__mmask8 sign;
v8sd sign;
__mmask8 ainfem8, asup0p625;
// first branch, a > 0.625
v8sd zz_first_branch;
v8sd p;
v8sd z_first_branch;
v8sd tmp_first_branch;
// second branch a <= 0.625
v8sd zz_second_branch;
v8sd z_second_branch;
v8sd tmp_second_branch;
a = _mm512_and_pd(*(v8sd *) _pd512_positive_mask, x); // fabs(x)
// sign = _mm512_cmp_pd_mask(x, _mm512_setzero_pd(), _CMP_LT_OS); // 0xFFFFFFFF if x < 0.0
sign = _mm512_and_pd(x, *(v8sd *) _pd512_sign_mask);
ainfem8 = _mm512_cmp_pd_mask(a, *(v8sd *) _pd512_1em8, _CMP_LT_OS); // if( a < 1.0e-8)
asup0p625 = _mm512_cmp_pd_mask(a, *(v8sd *) _pd512_0p625, _CMP_GT_OS);
// fist branch
zz_first_branch = _mm512_sub_pd(*(v8sd *) _pd512_1, a);
p = _mm512_fmadd_pd_custom(*(v8sd *) _pd512_ASIN_R0, zz_first_branch, *(v8sd *) _pd512_ASIN_R1);
p = _mm512_fmadd_pd_custom(p, zz_first_branch, *(v8sd *) _pd512_ASIN_R2);
p = _mm512_fmadd_pd_custom(p, zz_first_branch, *(v8sd *) _pd512_ASIN_R3);
p = _mm512_fmadd_pd_custom(p, zz_first_branch, *(v8sd *) _pd512_ASIN_R4);
p = _mm512_mul_pd(p, zz_first_branch);
tmp_first_branch = _mm512_add_pd(zz_first_branch, *(v8sd *) _pd512_ASIN_S0);
tmp_first_branch = _mm512_fmadd_pd_custom(tmp_first_branch, zz_first_branch, *(v8sd *) _pd512_ASIN_S1);
tmp_first_branch = _mm512_fmadd_pd_custom(tmp_first_branch, zz_first_branch, *(v8sd *) _pd512_ASIN_S2);
tmp_first_branch = _mm512_fmadd_pd_custom(tmp_first_branch, zz_first_branch, *(v8sd *) _pd512_ASIN_S3);
p = _mm512_div_pd(p, tmp_first_branch);
zz_first_branch = _mm512_sqrt_pd(_mm512_add_pd(zz_first_branch, zz_first_branch));
z_first_branch = _mm512_sub_pd(*(v8sd *) _pd512_PIO4, zz_first_branch);
zz_first_branch = _mm512_fmadd_pd_custom(zz_first_branch, p, *(v8sd *) _pd512_minMOREBITS);
z_first_branch = _mm512_sub_pd(z_first_branch, zz_first_branch);
// second branch
zz_second_branch = _mm512_mul_pd(a, a);
z_second_branch = _mm512_fmadd_pd_custom(*(v8sd *) _pd512_ASIN_P0, zz_second_branch, *(v8sd *) _pd512_ASIN_P1);
z_second_branch = _mm512_fmadd_pd_custom(z_second_branch, zz_second_branch, *(v8sd *) _pd512_ASIN_P2);
z_second_branch = _mm512_fmadd_pd_custom(z_second_branch, zz_second_branch, *(v8sd *) _pd512_ASIN_P3);
z_second_branch = _mm512_fmadd_pd_custom(z_second_branch, zz_second_branch, *(v8sd *) _pd512_ASIN_P4);
z_second_branch = _mm512_fmadd_pd_custom(z_second_branch, zz_second_branch, *(v8sd *) _pd512_ASIN_P5);
z_second_branch = _mm512_mul_pd(z_second_branch, zz_second_branch);
tmp_second_branch = _mm512_add_pd(zz_second_branch, *(v8sd *) _pd512_ASIN_Q0);
tmp_second_branch = _mm512_fmadd_pd_custom(tmp_second_branch, zz_second_branch, *(v8sd *) _pd512_ASIN_Q1);
tmp_second_branch = _mm512_fmadd_pd_custom(tmp_second_branch, zz_second_branch, *(v8sd *) _pd512_ASIN_Q2);
tmp_second_branch = _mm512_fmadd_pd_custom(tmp_second_branch, zz_second_branch, *(v8sd *) _pd512_ASIN_Q3);
tmp_second_branch = _mm512_fmadd_pd_custom(tmp_second_branch, zz_second_branch, *(v8sd *) _pd512_ASIN_Q4);
z_second_branch = _mm512_div_pd(z_second_branch, tmp_second_branch);
z_second_branch = _mm512_fmadd_pd_custom(a, z_second_branch, a);
z = _mm512_mask_add_pd(z_second_branch, asup0p625, z_first_branch, *(v8sd *) _pd512_PIO4);
z = _mm512_xor_pd(z, sign);
z = _mm512_mask_blend_pd(ainfem8, z, x);
// if (x > 1.0) then return 0.0
z = _mm512_mask_blend_pd(_mm512_cmp_pd_mask(x, *(v8sd *) _pd512_1, _CMP_GT_OS), z, _mm512_setzero_pd());
return (z);
}
static inline void asin512d(double *src, double *dst, int len)
{
int stop_len = len / AVX512_LEN_DOUBLE;
stop_len *= AVX512_LEN_DOUBLE;
if (areAligned2((uintptr_t) (src), (uintptr_t) (dst), AVX512_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
v8sd src_tmp = _mm512_load_pd(src + i);
_mm512_store_pd(dst + i, asin512_pd(src_tmp));
}
} else {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
v8sd src_tmp = _mm512_loadu_pd(src + i);
_mm512_storeu_pd(dst + i, asin512_pd(src_tmp));
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = asin(src[i]);
}
}
static inline v8sd atan512_pd(v8sd xx)
{
v8sd x, y, z;
//__mmask8 sign;
v8sd sign;
__mmask8 suptan3pi8, inftan3pi8inf0p66; // > T3PI8 or (< T3PI8 and > 0.66)
__mmask8 flagand1, flagand2;
v8sd tmp, tmp2, tmp3;
v8sd flag = _mm512_setzero_pd(); // flag = 0
x = _mm512_and_pd(*(v8sd *) _pd512_positive_mask, xx); // x = fabs(xx)
// sign = _mm512_cmp_pd_mask(xx, _mm512_setzero_pd(), _CMP_LT_OS); // 0xFFFFFFFFFFFFFFFF if x < 0.0, sign = -1
sign = _mm512_and_pd(xx, *(v8sd *) _pd512_sign_mask);
/* range reduction */
y = _mm512_setzero_pd();
suptan3pi8 = _mm512_cmp_pd_mask(x, *(v8sd *) _pd512_TAN3PI8, _CMP_GT_OS); // if( x > tan 3pi/8 )
x = _mm512_mask_div_pd(x, suptan3pi8, *(v8sd *) _pd512_min1, x); // if( x > tan 3pi/8 ) then x = -1.0/x
y = _mm512_mask_blend_pd(suptan3pi8, y, *(v8sd *) _pd512_PIO2); // if( x > tan 3pi/8 ) then y = PI/2
flag = _mm512_mask_blend_pd(suptan3pi8, flag, *(v8sd *) _pd512_1); // if( x > tan 3pi/8 ) then flag = 1
inftan3pi8inf0p66 = _kand_mask8(_mm512_cmp_pd_mask(x, *(v8sd *) _pd512_TAN3PI8, _CMP_LE_OS), _mm512_cmp_pd_mask(x, *(v8sd *) _pd512_0p66, _CMP_LE_OS)); // if( x <= tan 3pi/8 ) && (x <= 0.66)
y = _mm512_mask_blend_pd(inftan3pi8inf0p66, *(v8sd *) _pd512_PIO4, y); // y = 0 or PIO4
tmp2 = _mm512_add_pd(x, *(v8sd *) _pd512_1);
tmp3 = _mm512_sub_pd(x, *(v8sd *) _pd512_1);
x = _mm512_mask_blend_pd(inftan3pi8inf0p66, _mm512_div_pd(tmp3, tmp2), x);
flag = _mm512_mask_blend_pd(_mm512_cmp_pd_mask(*(v8sd *) _pd512_PIO4, y, _CMP_EQ_OS), flag, *(v8sd *) _pd512_2); // if y = PIO4 then flag = 2
z = _mm512_mul_pd(x, x); // z = x*x
// z = z * polevl(z, P_, 4)
tmp = _mm512_fmadd_pd_custom(*(v8sd *) _pd512_ATAN_P0, z, *(v8sd *) _pd512_ATAN_P1);
tmp = _mm512_fmadd_pd_custom(tmp, z, *(v8sd *) _pd512_ATAN_P2);
tmp = _mm512_fmadd_pd_custom(tmp, z, *(v8sd *) _pd512_ATAN_P3);
tmp = _mm512_fmadd_pd_custom(tmp, z, *(v8sd *) _pd512_ATAN_P4);
tmp = _mm512_mul_pd(z, tmp);
// z = z / p1evl(z, Q_, 5);
tmp2 = _mm512_add_pd(z, *(v8sd *) _pd512_ATAN_Q0);
tmp2 = _mm512_fmadd_pd_custom(tmp2, z, *(v8sd *) _pd512_ATAN_Q1);
tmp2 = _mm512_fmadd_pd_custom(tmp2, z, *(v8sd *) _pd512_ATAN_Q2);
tmp2 = _mm512_fmadd_pd_custom(tmp2, z, *(v8sd *) _pd512_ATAN_Q3);
tmp2 = _mm512_fmadd_pd_custom(tmp2, z, *(v8sd *) _pd512_ATAN_Q4);
z = _mm512_div_pd(tmp, tmp2);
// z = x * z + x
z = _mm512_fmadd_pd_custom(x, z, x);
flagand1 = _mm512_cmp_pd_mask(flag, *(v8sd *) _pd512_1, _CMP_EQ_OS);
flagand2 = _mm512_cmp_pd_mask(flag, *(v8sd *) _pd512_2, _CMP_EQ_OS);
// TODO : could we compute 0.5*MOREBITS?
tmp = _mm512_fmadd_pd_custom(*(v8sd *) _pd512_0p5, *(v8sd *) _pd512_MOREBITS, z);
z = _mm512_mask_blend_pd(flagand2, z, tmp); // if (flag == 2) then z += 0.5 * MOREBITS
z = _mm512_mask_add_pd(z, flagand1, z, *(v8sd *) _pd512_MOREBITS); // if (flag == 1) then z += MOREBITS
y = _mm512_add_pd(y, z);
y = _mm512_xor_pd(y, sign);
y = _mm512_mask_blend_pd(_mm512_cmp_pd_mask(x, _mm512_setzero_pd(), _CMP_EQ_OS), y, xx); // if (xx == 0) then return xx (x is fabs(xx))
return (y);
}
static inline v8sd atan2512_pd(v8sd y, v8sd x)
{
v8sd z, w, tmp;
__mmask8 xinfzero, yinfzero, xeqzero, yeqzero;
__mmask8 xeqzeroandyinfzero, yeqzeroandxinfzero;
__mmask8 specialcase;
xinfzero = _mm512_cmp_pd_mask(x, _mm512_setzero_pd(), _CMP_LT_OS); // code =2
yinfzero = _mm512_cmp_pd_mask(y, _mm512_setzero_pd(), _CMP_LT_OS); // code = code |1;
xeqzero = _mm512_cmp_pd_mask(x, _mm512_setzero_pd(), _CMP_EQ_OS);
yeqzero = _mm512_cmp_pd_mask(y, _mm512_setzero_pd(), _CMP_EQ_OS);
z = *(v8sd *) _pd512_PIO2F;
xeqzeroandyinfzero = _kand_mask8(xeqzero, yinfzero);
z = _mm512_mask_blend_pd(xeqzeroandyinfzero, z, *(v8sd *) _pd512_mPIO2F);
z = _mm512_mask_blend_pd(yeqzero, z, _mm512_setzero_pd());
yeqzeroandxinfzero = _kand_mask8(yeqzero, xinfzero);
z = _mm512_mask_blend_pd(yeqzeroandxinfzero, z, *(v8sd *) _pd512_PIF);
specialcase = _kor_mask8(xeqzero, yeqzero);
w = _mm512_setzero_pd();
w = _mm512_mask_blend_pd(_kandn_mask8(yinfzero, xinfzero), w, *(v8sd *) _pd512_PIF); // y >= 0 && x<0
w = _mm512_mask_blend_pd(_kand_mask8(yinfzero, xinfzero), w, *(v8sd *) _pd512_mPIF); // y < 0 && x<0
tmp = atan512_pd(_mm512_div_pd(y, x));
z = _mm512_mask_blend_pd(specialcase, _mm512_add_pd(w, tmp), z); // atanf(y/x) if not in special case
return (z);
}
static inline void atan512d(double *src, double *dst, int len)
{
int stop_len = len / AVX512_LEN_DOUBLE;
stop_len *= AVX512_LEN_DOUBLE;
if (areAligned2((uintptr_t) (src), (uintptr_t) (dst), AVX512_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
v8sd src_tmp = _mm512_load_pd(src + i);
_mm512_store_pd(dst + i, atan512_pd(src_tmp));
}
} else {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
v8sd src_tmp = _mm512_loadu_pd(src + i);
_mm512_storeu_pd(dst + i, atan512_pd(src_tmp));
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = atan(src[i]);
}
}
static inline void atan2512d(double *src1, double *src2, double *dst, int len)
{
int stop_len = len / AVX512_LEN_DOUBLE;
stop_len *= AVX512_LEN_DOUBLE;
if (areAligned3((uintptr_t) (src1), (uintptr_t) (src2), (uintptr_t) (dst), AVX512_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
_mm512_store_pd(dst + i, atan2512_pd(_mm512_load_pd(src1 + i), _mm512_load_pd(src2 + i)));
}
} else {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
_mm512_storeu_pd(dst + i, atan2512_pd(_mm512_loadu_pd(src1 + i), _mm512_loadu_pd(src2 + i)));
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = atan2(src1[i], src2[i]);
}
}
static inline void atan2512d_interleaved(complex64_t *src, double *dst, int len)
{
int stop_len = len / (2 * AVX512_LEN_DOUBLE);
stop_len *= 2 * AVX512_LEN_DOUBLE;
int j = 0;
if (areAligned2((uintptr_t) (src), (uintptr_t) (dst), AVX512_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += 2 * AVX512_LEN_DOUBLE) {
v8sdx2 src_split = _mm512_load2_pd((double *) (src) + j);
v8sdx2 src_split2 = _mm512_load2_pd((double *) (src) + j + 2 * AVX512_LEN_DOUBLE);
_mm512_store_pd(dst + i, atan2512_pd(src_split.val[1], src_split.val[0]));
_mm512_store_pd(dst + i + AVX512_LEN_DOUBLE, atan2512_pd(src_split2.val[1], src_split2.val[0]));
j += 4 * AVX512_LEN_DOUBLE;
}
} else {
for (int i = 0; i < stop_len; i += 2 * AVX512_LEN_DOUBLE) {
v8sdx2 src_split = _mm512_load2u_pd((double *) (src) + j);
v8sdx2 src_split2 = _mm512_load2u_pd((double *) (src) + j + 2 * AVX512_LEN_DOUBLE);
_mm512_storeu_pd(dst + i, atan2512_pd(src_split.val[1], src_split.val[0]));
_mm512_storeu_pd(dst + i + AVX512_LEN_DOUBLE, atan2512_pd(src_split2.val[1], src_split2.val[0]));
j += 4 * AVX512_LEN_DOUBLE;
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = atan2(src[i].im, src[i].re);
}
}
//_mm512_cvttpd_epi64 gives wrong result??
static inline v8sid _mm512_cvttpd_epi64_custom(v8sd x)
{
x = _mm512_add_pd(x, *(v8sd *) _pd512_PDEPI64U);
return _mm512_xor_si512(
_mm512_castpd_si512(x),
_mm512_castpd_si512(*(v8sd *) _pd512_PDEPI64U));
}
static inline v8sd _mm512_cvtepi64_pd_custom(v8sid x)
{
x = _mm512_or_si512(x, _mm512_castpd_si512(*(v8sd *) _pd512_PDEPI64U));
return _mm512_sub_pd(_mm512_castsi512_pd(x), *(v8sd *) _pd512_PDEPI64U);
}
static inline void sincos512_pd(v8sd x, v8sd *s, v8sd *c)
{
v8sd xmm1, xmm2, sign_bit_sin, y;
v8sid emm0, emm2, emm4;
__mmask8 cmpeq_mask;
sign_bit_sin = x;
/* take the absolute value */
x = _mm512_and_pd(x, *(v8sd *) _pd512_inv_sign_mask);
/* extract the sign bit (upper one) */
sign_bit_sin = _mm512_and_pd(sign_bit_sin, *(v8sd *) _pd512_sign_mask);
/* scale by 4/Pi */
y = _mm512_mul_pd(x, *(v8sd *) _pd512_cephes_FOPI);
y = _mm512_roundscale_pd(y, ROUNDTOFLOOR);
/* store the integer part of y in emm2 */
emm2 = _mm512_cvttpd_epi64_custom(y);
/* j=(j+1) & (~1) (see the cephes sources) */
emm2 = _mm512_add_epi64(emm2, *(v8sid *) _pi512_64_1);
emm2 = _mm512_and_si512(emm2, *(v8sid *) _pi512_64_inv1);
y = _mm512_cvtepi64_pd_custom(emm2);
emm4 = emm2;
/* get the swap sign flag for the sine */
emm0 = _mm512_and_si512(emm2, *(v8sid *) _pi512_64_4);
emm0 = _mm512_slli_epi64(emm0, 61);
v8sd swap_sign_bit_sin = _mm512_castsi512_pd(emm0);
/* get the polynom selection mask for the sine*/
emm2 = _mm512_and_si512(emm2, *(v8sid *) _pi512_64_2);
__mmask8 poly_mask = _mm512_cmpeq_epi64_mask(emm2, _mm512_setzero_si512());
/* The magic pass: "Extended precision modular arithmetic"
x = ((x - y * DP1) - y * DP2) - y * DP3; */
x = _mm512_fmadd_pd_custom(y, *(v8sd *) _pd512_minus_cephes_DP1, x);
x = _mm512_fmadd_pd_custom(y, *(v8sd *) _pd512_minus_cephes_DP2, x);
x = _mm512_fmadd_pd_custom(y, *(v8sd *) _pd512_minus_cephes_DP3, x);
emm4 = _mm512_sub_epi64(emm4, *(v8sid *) _pi512_64_2);
emm4 = _mm512_andnot_si512(emm4, *(v8sid *) _pi512_64_4);
emm4 = _mm512_slli_epi64(emm4, 61);
v8sd sign_bit_cos = _mm512_castsi512_pd(emm4);
sign_bit_sin = _mm512_xor_pd(sign_bit_sin, swap_sign_bit_sin);
/* Evaluate the first polynom (0 <= x <= Pi/4) */
v8sd z = _mm512_mul_pd(x, x);
y = _mm512_fmadd_pd_custom(*(v8sd *) _pd512_coscof_p0, z, *(v8sd *) _pd512_coscof_p1);
y = _mm512_fmadd_pd_custom(y, z, *(v8sd *) _pd512_coscof_p2);
y = _mm512_fmadd_pd_custom(y, z, *(v8sd *) _pd512_coscof_p3);
y = _mm512_fmadd_pd_custom(y, z, *(v8sd *) _pd512_coscof_p4);
y = _mm512_fmadd_pd_custom(y, z, *(v8sd *) _pd512_coscof_p5);
y = _mm512_mul_pd(y, z);
y = _mm512_mul_pd(y, z);
y = _mm512_fnmadd_pd_custom(z, *(v8sd *) _pd512_0p5, y);
y = _mm512_add_pd(y, *(v8sd *) _pd512_1);
/* Evaluate the second polynom (Pi/4 <= x <= 0) */
v8sd y2 = _mm512_fmadd_pd_custom(*(v8sd *) _pd512_sincof_p0, z, *(v8sd *) _pd512_sincof_p1);
y2 = _mm512_fmadd_pd_custom(y2, z, *(v8sd *) _pd512_sincof_p2);
y2 = _mm512_fmadd_pd_custom(y2, z, *(v8sd *) _pd512_sincof_p3);
y2 = _mm512_fmadd_pd_custom(y2, z, *(v8sd *) _pd512_sincof_p4);
y2 = _mm512_fmadd_pd_custom(y2, z, *(v8sd *) _pd512_sincof_p5);
y2 = _mm512_mul_pd(y2, z);
y2 = _mm512_fmadd_pd_custom(y2, x, x);
/* select the correct result from the two polynoms */
xmm1 = _mm512_mask_blend_pd(poly_mask, y, y2);
xmm2 = _mm512_mask_blend_pd(poly_mask, y2, y);
/* update the sign */
*s = _mm512_xor_pd(xmm1, sign_bit_sin);
*c = _mm512_xor_pd(xmm2, sign_bit_cos);
}
static inline void sincos512d(double *src, double *dst_sin, double *dst_cos, int len)
{
int stop_len = len / AVX512_LEN_DOUBLE;
stop_len *= AVX512_LEN_DOUBLE;
if (areAligned3((uintptr_t) (src), (uintptr_t) (dst_sin), (uintptr_t) (dst_cos), AVX512_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
v8sd src_tmp = _mm512_load_pd(src + i);
v8sd dst_sin_tmp;
v8sd dst_cos_tmp;
sincos512_pd(src_tmp, &dst_sin_tmp, &dst_cos_tmp);
_mm512_store_pd(dst_sin + i, dst_sin_tmp);
_mm512_store_pd(dst_cos + i, dst_cos_tmp);
}
} else {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
v8sd src_tmp = _mm512_loadu_pd(src + i);
v8sd dst_sin_tmp;
v8sd dst_cos_tmp;
sincos512_pd(src_tmp, &dst_sin_tmp, &dst_cos_tmp);
_mm512_storeu_pd(dst_sin + i, dst_sin_tmp);
_mm512_storeu_pd(dst_cos + i, dst_cos_tmp);
}
}
for (int i = stop_len; i < len; i++) {
dst_sin[i] = sin(src[i]);
dst_cos[i] = cos(src[i]);
}
}
static inline void sincos512d_interleaved(double *src, complex64_t *dst, int len)
{
int stop_len = len / AVX512_LEN_DOUBLE;
stop_len *= AVX512_LEN_DOUBLE;
int j = 0;
if (areAligned2((uintptr_t) (src), (uintptr_t) (dst), AVX512_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
v8sd src_tmp = _mm512_load_pd(src + i);
v8sdx2 dst_tmp;
sincos512_pd(src_tmp, &(dst_tmp.val[1]), &(dst_tmp.val[0]));
_mm512_store2_pd((double *) dst + j, dst_tmp);
j += 2 * AVX512_LEN_DOUBLE;
}
} else {
for (int i = 0; i < stop_len; i += AVX512_LEN_DOUBLE) {
v8sd src_tmp = _mm512_loadu_pd(src + i);
v8sdx2 dst_tmp;
sincos512_pd(src_tmp, &(dst_tmp.val[1]), &(dst_tmp.val[0]));
_mm512_store2u_pd((double *) dst + j, dst_tmp);
j += 2 * AVX512_LEN_DOUBLE;
}
}
for (int i = stop_len; i < len; i++) {
dst[i].im = sin(src[i]);
dst[i].re = cos(src[i]);
}
}
static inline void pol2cart2D512f_precise(float *r, float *theta, float *x, float *y, int len)
{
int stop_len = len / AVX_LEN_FLOAT;
stop_len *= AVX_LEN_FLOAT;
if (areAligned2((uintptr_t) (r), (uintptr_t) (theta), AVX_LEN_BYTES) &&
areAligned2((uintptr_t) (x), (uintptr_t) (y), AVX_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += AVX_LEN_FLOAT) {
v8sf r_tmpf = _mm256_load_ps(r + i);
v8sf theta_tmpf = _mm256_load_ps(theta + i);
v8sd r_tmp = _mm512_cvtps_pd(r_tmpf);
v8sd theta_tmp = _mm512_cvtps_pd(theta_tmpf);
v8sd sin_tmp;
v8sd cos_tmp;
sincos512_pd(theta_tmp, &sin_tmp, &cos_tmp);
v8sd x_tmpd = _mm512_mul_pd(r_tmp, cos_tmp);
v8sd y_tmpd = _mm512_mul_pd(r_tmp, sin_tmp);
v8sf x_tmp = _mm512_cvtpd_ps(x_tmpd);
v8sf y_tmp = _mm512_cvtpd_ps(y_tmpd);
_mm256_store_ps(x + i, x_tmp);
_mm256_store_ps(y + i, y_tmp);
}
} else {
for (int i = 0; i < stop_len; i += AVX_LEN_FLOAT) {
v8sf r_tmpf = _mm256_loadu_ps(r + i);
v8sf theta_tmpf = _mm256_loadu_ps(theta + i);
v8sd r_tmp = _mm512_cvtps_pd(r_tmpf);
v8sd theta_tmp = _mm512_cvtps_pd(theta_tmpf);
v8sd sin_tmp;
v8sd cos_tmp;
sincos512_pd(theta_tmp, &sin_tmp, &cos_tmp);
v8sd x_tmpd = _mm512_mul_pd(r_tmp, cos_tmp);
v8sd y_tmpd = _mm512_mul_pd(r_tmp, sin_tmp);
v8sf x_tmp = _mm512_cvtpd_ps(x_tmpd);
v8sf y_tmp = _mm512_cvtpd_ps(y_tmpd);
_mm256_storeu_ps(x + i, x_tmp);
_mm256_storeu_ps(y + i, y_tmp);
}
}
for (int i = stop_len; i < len; i++) {
double sin_tmp, cos_tmp;
double theta_double = (double) theta[i];
double r_double = (double) r[i];
sin_tmp = sin(theta_double);
cos_tmp = cos(theta_double);
x[i] = (float) (r_double * cos_tmp);
y[i] = (float) (r_double * sin_tmp);
}
}
static inline void cart2pol2D512f_precise(float *x, float *y, float *r, float *theta, int len)
{
int stop_len = len / AVX_LEN_FLOAT;
stop_len *= AVX_LEN_FLOAT;
if (areAligned2((uintptr_t) (r), (uintptr_t) (theta), AVX_LEN_BYTES) &&
areAligned2((uintptr_t) (x), (uintptr_t) (y), AVX_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += AVX_LEN_FLOAT) {
v8sf x_tmpf = _mm256_load_ps(x + i);