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simd_utils_sse_float.h
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/*
* Project : SIMD_Utils
* Version : 0.2.6
* Author : JishinMaster
* Licence : BSD-2
*/
#pragma once
#include <fenv.h>
#include <stdint.h>
#ifndef ARM
#include <immintrin.h>
#else
#include "sse2neon_wrapper.h"
#endif
#include <math.h>
#include <string.h>
static inline v4sf log10_ps(v4sf x)
{
#ifdef LLVMMCA
__asm volatile("# LLVM-MCA-BEGIN log10_ps" ::
: "memory");
#endif
v4si emm0;
v4sf one = *(v4sf *) _ps_1;
v4sf invalid_mask = _mm_cmple_ps(x, _mm_setzero_ps());
x = _mm_max_ps(x, *(v4sf *) _ps_min_norm_pos); /* cut off denormalized stuff */
emm0 = _mm_srli_epi32(_mm_castps_si128(x), 23);
/* keep only the fractional part */
x = _mm_and_ps(x, *(v4sf *) _ps_inv_mant_mask);
x = _mm_or_ps(x, *(v4sf *) _ps_0p5);
emm0 = _mm_sub_epi32(emm0, *(v4si *) _pi32_0x7f);
v4sf e = _mm_cvtepi32_ps(emm0);
e = _mm_add_ps(e, one);
v4sf mask = _mm_cmplt_ps(x, *(v4sf *) _ps_cephes_SQRTHF);
v4sf tmp = _mm_and_ps(x, mask);
x = _mm_sub_ps(x, one);
e = _mm_sub_ps(e, _mm_and_ps(one, mask));
x = _mm_add_ps(x, tmp);
v4sf z = _mm_mul_ps(x, x);
v4sf y = _mm_fmadd1_ps_custom(x, *(v4sf *) _ps_cephes_log_p0, *(v4sf *) _ps_cephes_log_p1);
y = _mm_fmadd_ps_custom(y, x, *(v4sf *) _ps_cephes_log_p2);
y = _mm_fmadd_ps_custom(y, x, *(v4sf *) _ps_cephes_log_p3);
y = _mm_fmadd_ps_custom(y, x, *(v4sf *) _ps_cephes_log_p4);
y = _mm_fmadd_ps_custom(y, x, *(v4sf *) _ps_cephes_log_p5);
y = _mm_fmadd_ps_custom(y, x, *(v4sf *) _ps_cephes_log_p6);
y = _mm_fmadd_ps_custom(y, x, *(v4sf *) _ps_cephes_log_p7);
y = _mm_fmadd_ps_custom(y, x, *(v4sf *) _ps_cephes_log_p8);
y = _mm_mul_ps(y, x);
y = _mm_mul_ps(y, z);
y = _mm_fnmadd1_ps_custom(z, *(v4sf *) _ps_0p5, y);
// Could it be improved with more parallelism or would it worsen precision?
tmp = _mm_add_ps(x, y);
z = _mm_mul1_ps(tmp, *(v4sf *) _ps_cephes_L10EB);
z = _mm_fmadd1_ps_custom(y, *(v4sf *) _ps_cephes_L10EA, z);
z = _mm_fmadd1_ps_custom(x, *(v4sf *) _ps_cephes_L10EA, z);
z = _mm_fmadd1_ps_custom(e, *(v4sf *) _ps_cephes_L102B, z);
x = _mm_fmadd1_ps_custom(e, *(v4sf *) _ps_cephes_L102A, z);
x = _mm_or_ps(x, invalid_mask); // negative arg will be NAN
#ifdef LLVMMCA
__asm volatile("# LLVM-MCA-END log10_ps" ::
: "memory");
#endif
return x;
}
static inline v4sf log2_ps(v4sf x)
{
v4si emm0;
v4sf one = *(v4sf *) _ps_1;
v4sf invalid_mask = _mm_cmple_ps(x, _mm_setzero_ps());
x = _mm_max_ps(x, *(v4sf *) _ps_min_norm_pos); /* cut off denormalized stuff */
emm0 = _mm_srli_epi32(_mm_castps_si128(x), 23);
/* keep only the fractional part */
x = _mm_and_ps(x, *(v4sf *) _ps_inv_mant_mask);
x = _mm_or_ps(x, *(v4sf *) _ps_0p5);
emm0 = _mm_sub_epi32(emm0, *(v4si *) _pi32_0x7f);
v4sf e = _mm_cvtepi32_ps(emm0);
e = _mm_add_ps(e, one);
v4sf mask = _mm_cmplt_ps(x, *(v4sf *) _ps_cephes_SQRTHF);
v4sf tmp = _mm_and_ps(x, mask);
x = _mm_sub_ps(x, one);
e = _mm_sub_ps(e, _mm_and_ps(one, mask));
x = _mm_add_ps(x, tmp);
v4sf z = _mm_mul_ps(x, x);
v4sf y = _mm_fmadd1_ps_custom(x, *(v4sf *) _ps_cephes_log_p0, *(v4sf *) _ps_cephes_log_p1);
y = _mm_fmadd_ps_custom(y, x, *(v4sf *) _ps_cephes_log_p2);
y = _mm_fmadd_ps_custom(y, x, *(v4sf *) _ps_cephes_log_p3);
y = _mm_fmadd_ps_custom(y, x, *(v4sf *) _ps_cephes_log_p4);
y = _mm_fmadd_ps_custom(y, x, *(v4sf *) _ps_cephes_log_p5);
y = _mm_fmadd_ps_custom(y, x, *(v4sf *) _ps_cephes_log_p6);
y = _mm_fmadd_ps_custom(y, x, *(v4sf *) _ps_cephes_log_p7);
y = _mm_fmadd_ps_custom(y, x, *(v4sf *) _ps_cephes_log_p8);
y = _mm_mul_ps(y, x);
y = _mm_mul_ps(y, z);
y = _mm_fnmadd1_ps_custom(z, *(v4sf *) _ps_0p5, y);
// Could it be improved with more parallelism or would it worsen precision?
tmp = _mm_add_ps(y, x);
z = _mm_mul1_ps(y, *(v4sf *) _ps_cephes_LOG2EA);
z = _mm_fmadd1_ps_custom(x, *(v4sf *) _ps_cephes_LOG2EA, z);
z = _mm_add_ps(z, tmp);
x = _mm_add_ps(z, e);
x = _mm_or_ps(x, invalid_mask); // negative arg will be NAN
return x;
}
static inline void log10128f(float *src, float *dst, int len)
{
const v4sf invln10f = _mm_set1_ps((float) INVLN10);
int stop_len = len / SSE_LEN_FLOAT;
stop_len *= SSE_LEN_FLOAT;
if (areAligned2((uintptr_t) (src), (uintptr_t) (dst), SSE_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += SSE_LEN_FLOAT) {
v4sf src_tmp = log_ps(_mm_load_ps(src + i));
_mm_store_ps(dst + i, _mm_mul_ps(src_tmp, invln10f));
}
} else {
for (int i = 0; i < stop_len; i += SSE_LEN_FLOAT) {
v4sf src_tmp = log_ps(_mm_loadu_ps(src + i));
_mm_storeu_ps(dst + i, _mm_mul_ps(src_tmp, invln10f));
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = log10f(src[i]);
}
}
static inline void log10128f_precise(float *src, float *dst, int len)
{
int stop_len = len / SSE_LEN_FLOAT;
stop_len *= SSE_LEN_FLOAT;
if (areAligned2((uintptr_t) (src), (uintptr_t) (dst), SSE_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += SSE_LEN_FLOAT) {
v4sf src_tmp = log10_ps(_mm_load_ps(src + i));
_mm_store_ps(dst + i, src_tmp);
}
} else {
for (int i = 0; i < stop_len; i += SSE_LEN_FLOAT) {
v4sf src_tmp = log10_ps(_mm_loadu_ps(src + i));
_mm_storeu_ps(dst + i, src_tmp);
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = log10f(src[i]);
}
}
static inline void log2128f(float *src, float *dst, int len)
{
const v4sf invln2f = _mm_set1_ps((float) INVLN2);
int stop_len = len / SSE_LEN_FLOAT;
stop_len *= SSE_LEN_FLOAT;
if (areAligned2((uintptr_t) (src), (uintptr_t) (dst), SSE_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += SSE_LEN_FLOAT) {
v4sf src_tmp = log_ps(_mm_load_ps(src + i));
_mm_store_ps(dst + i, _mm_mul_ps(src_tmp, invln2f));
}
} else {
for (int i = 0; i < stop_len; i += SSE_LEN_FLOAT) {
v4sf src_tmp = log_ps(_mm_loadu_ps(src + i));
_mm_storeu_ps(dst + i, _mm_mul_ps(src_tmp, invln2f));
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = log2f(src[i]);
}
}
static inline void log2128f_precise(float *src, float *dst, int len)
{
int stop_len = len / SSE_LEN_FLOAT;
stop_len *= SSE_LEN_FLOAT;
if (areAligned2((uintptr_t) (src), (uintptr_t) (dst), SSE_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += SSE_LEN_FLOAT) {
v4sf src_tmp = log2_ps(_mm_load_ps(src + i));
_mm_store_ps(dst + i, src_tmp);
}
} else {
for (int i = 0; i < stop_len; i += SSE_LEN_FLOAT) {
v4sf src_tmp = log2_ps(_mm_loadu_ps(src + i));
_mm_storeu_ps(dst + i, src_tmp);
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = log2f(src[i]);
}
}
static inline void ln128f(float *src, float *dst, int len)
{
int stop_len = len / SSE_LEN_FLOAT;
stop_len *= SSE_LEN_FLOAT;
if (areAligned2((uintptr_t) (src), (uintptr_t) (dst), SSE_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += SSE_LEN_FLOAT) {
_mm_store_ps(dst + i, log_ps(_mm_load_ps(src + i)));
}
} else {
for (int i = 0; i < stop_len; i += SSE_LEN_FLOAT) {
_mm_storeu_ps(dst + i, log_ps(_mm_loadu_ps(src + i)));
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = logf(src[i]);
}
}
static inline void exp128f(float *src, float *dst, int len)
{
int stop_len = len / SSE_LEN_FLOAT;
stop_len *= SSE_LEN_FLOAT;
if (areAligned2((uintptr_t) (src), (uintptr_t) (dst), SSE_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += SSE_LEN_FLOAT) {
_mm_store_ps(dst + i, exp_ps(_mm_load_ps(src + i)));
}
} else {
for (int i = 0; i < stop_len; i += SSE_LEN_FLOAT) {
_mm_storeu_ps(dst + i, exp_ps(_mm_loadu_ps(src + i)));
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = expf(src[i]);
}
}
// rewritten alternate version which properly returns MAXNUMF or 0.0 outside of boundaries
#if defined(ARM) && !defined(__aarch64__) // wrong behavior on ARMV7
static inline v4sf exp_ps_alternate(v4sf x){
return exp_ps(x);
}
#else//ARMV7
static inline v4sf exp_ps_alternate(v4sf x)
{
v4sf z_tmp, z, fx;
v4si n;
v4sf xsupmaxlogf, xinfminglogf;
xsupmaxlogf = _mm_cmpgt_ps(x, *(v4sf *) _ps_MAXLOGF);
xinfminglogf = _mm_cmplt_ps(x, *(v4sf *) _ps_MINLOGF);
/* Express e**x = e**g 2**n
* = e**g e**( n loge(2) )
* = e**( g + n loge(2) )
*/
fx = _mm_fmadd1_ps_custom(x, *(v4sf *) _ps_cephes_LOG2EF, *(v4sf *) _ps_0p5);
z = _mm_floor_ps(fx); // round to floor
x = _mm_fmadd1_ps_custom(z, *(v4sf *) _ps_cephes_exp_minC1, x);
x = _mm_fmadd1_ps_custom(z, *(v4sf *) _ps_cephes_exp_minC2, x);
n = _mm_cvttps_epi32(z);
n = _mm_add_epi32(n, *(v4si *) _pi32_0x7f);
n = _mm_slli_epi32(n, 23);
v4sf pow2n = _mm_castsi128_ps(n);
z = _mm_mul_ps(x, x);
z_tmp = _mm_fmadd1_ps_custom(x, *(v4sf *) _ps_cephes_exp_p0, *(v4sf *) _ps_cephes_exp_p1);
z_tmp = _mm_fmadd_ps_custom(z_tmp, x, *(v4sf *) _ps_cephes_exp_p2);
z_tmp = _mm_fmadd_ps_custom(z_tmp, x, *(v4sf *) _ps_cephes_exp_p3);
z_tmp = _mm_fmadd_ps_custom(z_tmp, x, *(v4sf *) _ps_cephes_exp_p4);
z_tmp = _mm_fmadd_ps_custom(z_tmp, x, *(v4sf *) _ps_cephes_exp_p5);
z_tmp = _mm_fmadd_ps_custom(z_tmp, z, x);
/* build 2^n */
z_tmp = _mm_fmadd_ps_custom(z_tmp, pow2n, pow2n);
z = _mm_blendv_ps(z_tmp, *(v4sf *) _ps_MAXNUMF, xsupmaxlogf);
#if 1
z = _mm_andnot_ps(xinfminglogf, z);
#else
z = _mm_blendv_ps(z, _mm_setzero_ps(), xinfminglogf);
#endif
return z;
}
#endif //ARMV7
static inline void exp128f_(float *src, float *dst, int len)
{
int stop_len = len / SSE_LEN_FLOAT;
stop_len *= SSE_LEN_FLOAT;
if (areAligned2((uintptr_t) (src), (uintptr_t) (dst), SSE_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += SSE_LEN_FLOAT) {
_mm_store_ps(dst + i, exp_ps_alternate(_mm_load_ps(src + i)));
}
} else {
for (int i = 0; i < stop_len; i += SSE_LEN_FLOAT) {
_mm_storeu_ps(dst + i, exp_ps_alternate(_mm_loadu_ps(src + i)));
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = expf(src[i]);
}
}
/////////////// CBRT
// Test, seems okay, see sse_mathfun
#if 0
static inline void frexpf128f(float *src, float *dst, int len)
{
int stop_len = len / (SSE_LEN_FLOAT);
stop_len *= (SSE_LEN_FLOAT);
int ep[4];
float fr[4];
if (areAligned2((uintptr_t) (src), (uintptr_t) (dst), SSE_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += SSE_LEN_FLOAT) {
v4sf x = _mm_load_ps(src + i);
// x = _mm_max_ps(x, *(v4sf *) _ps_min_norm_pos);
v4si emm0 = _mm_srli_epi32(_mm_castps_si128(x), 23);
v4sf x_frac = _mm_and_ps(x, *(v4sf *) _ps_inv_mant_mask);
x_frac = _mm_or_ps(x_frac, *(v4sf *) _ps_0p5);
emm0 = _mm_sub_epi32(emm0, *(v4si *) _pi32_0x7f);
v4sf e = _mm_cvtepi32_ps(emm0);
e = _mm_add_ps(e, *(v4sf *) _ps_1);
fr[0] = frexpf(src[i], &ep[0]);
fr[1] = frexpf(src[i + 1], &ep[1]);
fr[2] = frexpf(src[i + 2], &ep[2]);
fr[3] = frexpf(src[i + 3], &ep[3]);
printf("%f %d\n", fr[0], ep[0]);
printf("%f %d\n", fr[1], ep[1]);
printf("%f %d\n", fr[2], ep[2]);
printf("%f %d\n", fr[3], ep[3]);
}
}
}
static inline void ldexp128f(float *src, int ex, float *dst, int len)
{
int stop_len = len / (SSE_LEN_FLOAT);
stop_len *= (SSE_LEN_FLOAT);
int ep[4];
float fr[4];
v4sf cst = _mm_set1_ps((float) (1 << ex));
if (areAligned2((uintptr_t) (src), (uintptr_t) (dst), SSE_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += SSE_LEN_FLOAT) {
v4sf x = _mm_load_ps(src + i);
v4sf x_ex = _mm_mul_ps(x, cst);
print4(x);
printf("\n");
print4(x_ex);
printf("\n");
fr[0] = ldexpf(src[i], ex);
fr[1] = ldexpf(src[i + 1], ex);
fr[2] = ldexpf(src[i + 2], ex);
fr[3] = ldexpf(src[i + 3], ex);
printf("%3.24g %3.24g %3.24g %3.24g\n", fr[0], fr[1], fr[2], fr[3]);
}
}
}
#endif
// from https://stackoverflow.com/questions/57454416/sse-integer-2n-powers-of-2-for-32-bit-integers-without-avx2
static inline v4sf power_of_twof(v4si b)
{
v4si exp = _mm_add_epi32(b, _mm_set1_epi32(127));
v4sf f = _mm_castsi128_ps(_mm_slli_epi32(exp, 23));
return f;
}
static inline v4sf cbrtf_ps(v4sf xx)
{
v4sf e, rem, sign;
v4sf x, z;
v4sf tmp, tmp2;
x = xx;
// sign = _mm_cmpgt_ps(x, _mm_setzero_ps());
sign = _mm_and_ps(xx, *(v4sf *) _ps_sign_mask);
x = _mm_and_ps(x, *(v4sf *) _ps_pos_sign_mask);
z = x;
/* extract power of 2, leaving
* mantissa between 0.5 and 1
*/
// x = frexpf(x, &e);
// solve problem for zero
v4si emm0 = _mm_srli_epi32(_mm_castps_si128(x), 23);
x = _mm_and_ps(x, *(v4sf *) _ps_inv_mant_mask);
x = _mm_or_ps(x, *(v4sf *) _ps_0p5);
emm0 = _mm_sub_epi32(emm0, *(v4si *) _pi32_0x7e); // -7f + 1
e = _mm_cvtepi32_ps(emm0);
/* Approximate cube root of number between .5 and 1,
* peak relative error = 9.2e-6
*/
tmp = _mm_fmadd1_ps_custom(x, *(v4sf *) _ps_CBRTF_P0, *(v4sf *) _ps_CBRTF_P1);
tmp = _mm_fmadd_ps_custom(x, tmp, *(v4sf *) _ps_CBRTF_P2);
tmp = _mm_fmadd_ps_custom(x, tmp, *(v4sf *) _ps_CBRTF_P3);
x = _mm_fmadd_ps_custom(x, tmp, *(v4sf *) _ps_CBRTF_P4);
/* exponent divided by 3 */
v4sf e_sign = _mm_cmpge_ps(e, _mm_setzero_ps());
e = _mm_and_ps(e, *(v4sf *) _ps_pos_sign_mask);
rem = e;
e = _mm_mul1_ps(e, *(v4sf *) _ps_0p3);
e = _mm_round_ps(e, ROUNDTOZERO);
rem = _mm_fnmadd1_ps_custom(e, *(v4sf *) _ps_3, rem);
v4sf mul1, mul2;
v4sf mul_cst1 = _mm_blendv_ps(*(v4sf *) _ps_cephes_invCBRT2, *(v4sf *) _ps_cephes_CBRT2, e_sign);
v4sf mul_cst2 = _mm_blendv_ps(*(v4sf *) _ps_cephes_invCBRT4, *(v4sf *) _ps_cephes_CBRT4, e_sign);
mul1 = _mm_mul_ps(x, mul_cst1);
mul2 = _mm_mul_ps(x, mul_cst2);
v4si remi = _mm_cvtps_epi32(rem); // rem integer
v4si rem1 = _mm_cmpeq_epi32(remi, *(v4si *) _pi32_1);
v4si rem2 = _mm_cmpeq_epi32(remi, *(v4si *) _pi32_2);
x = _mm_blendv_ps(x, mul1, _mm_castsi128_ps(rem1)); // rem==1
x = _mm_blendv_ps(x, mul2, _mm_castsi128_ps(rem2)); // rem==2
/* multiply by power of 2 */
// x = ldexpf(x, e);
// v4sf cst = _mm_srli_epi32()
// x= x* (1 >> e)
// AVX2 : _mm256_srlv_epi32 pour shift
v4sf cst = power_of_twof(_mm_cvtps_epi32(e));
// blend sign of e
tmp = _mm_mul_ps(x, cst);
tmp2 = _mm_div_ps(x, cst);
x = _mm_blendv_ps(tmp2, tmp, e_sign);
/* Newton iteration */
// x -= (x - (z / (x * x))) * 0.333333333333;
tmp2 = _mm_mul_ps(x, x);
tmp2 = _mm_div_ps(z, tmp2);
tmp2 = _mm_sub_ps(x, tmp2);
x = _mm_fnmadd1_ps_custom(tmp2, *(v4sf *) _ps_0p3, x);
// x = _mm_blendv_ps(_mm_mul_ps(x, *(v4sf *) _ps_min1), x, sign);
x = _mm_xor_ps(x, sign);
return x;
}
static inline void cbrt128f(float *src, float *dst, int len)
{
int stop_len = len / (SSE_LEN_FLOAT);
stop_len *= (SSE_LEN_FLOAT);
// float fr[4];
if (areAligned2((uintptr_t) (src), (uintptr_t) (dst), SSE_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += SSE_LEN_FLOAT) {
v4sf x = _mm_load_ps(src + i);
// printf("x : ");print4(x);printf("\n");
v4sf dst_tmp = cbrtf_ps(x);
/*printf("out : ");print4(tmp);printf("\n");
fr[0] = cbrtf(src[i]);
fr[1] = cbrtf(src[i+1]);
fr[2] = cbrtf(src[i+2]);
fr[3] = cbrtf(src[i+3]);
printf("%3.9g %3.9g %3.9g %3.9g\n",fr[0], fr[1], fr[2], fr[3]);*/
_mm_store_ps(dst + i, dst_tmp);
}
} else {
for (int i = 0; i < stop_len; i += SSE_LEN_FLOAT) {
v4sf x = _mm_loadu_ps(src + i);
v4sf dst_tmp = cbrtf_ps(x);
_mm_storeu_ps(dst + i, dst_tmp);
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = cbrtf(src[i]);
}
}
/////
static inline void fabs128f(float *src, float *dst, int len)
{
int stop_len = len / (2 * SSE_LEN_FLOAT);
stop_len *= (2 * SSE_LEN_FLOAT);
if (areAligned2((uintptr_t) (src), (uintptr_t) (dst), SSE_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += 2 * SSE_LEN_FLOAT) {
v4sf src_tmp = _mm_load_ps(src + i);
v4sf src_tmp2 = _mm_load_ps(src + i + SSE_LEN_FLOAT);
v4sf dst_tmp = _mm_and_ps(*(v4sf *) _ps_pos_sign_mask, src_tmp);
v4sf dst_tmp2 = _mm_and_ps(*(v4sf *) _ps_pos_sign_mask, src_tmp2);
_mm_store_ps(dst + i, dst_tmp);
_mm_store_ps(dst + i + SSE_LEN_FLOAT, dst_tmp2);
}
} else {
for (int i = 0; i < stop_len; i += 2 * SSE_LEN_FLOAT) {
v4sf src_tmp = _mm_loadu_ps(src + i);
v4sf src_tmp2 = _mm_loadu_ps(src + i + SSE_LEN_FLOAT);
v4sf dst_tmp = _mm_and_ps(*(v4sf *) _ps_pos_sign_mask, src_tmp);
v4sf dst_tmp2 = _mm_and_ps(*(v4sf *) _ps_pos_sign_mask, src_tmp2);
_mm_storeu_ps(dst + i, dst_tmp);
_mm_storeu_ps(dst + i + SSE_LEN_FLOAT, dst_tmp2);
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = fabsf(src[i]);
}
}
static inline void set128f(float *dst, float value, int len)
{
const v4sf tmp = _mm_set1_ps(value);
int stop_len = len / SSE_LEN_FLOAT;
stop_len *= SSE_LEN_FLOAT;
if (isAligned((uintptr_t) (dst), SSE_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += SSE_LEN_FLOAT) {
_mm_store_ps(dst + i, tmp);
}
} else {
for (int i = 0; i < stop_len; i += SSE_LEN_FLOAT) {
_mm_storeu_ps(dst + i, tmp);
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = value;
}
}
// Could be better to just use set(0)
static inline void zero128f(float *dst, int len)
{
const v4sf tmp = _mm_setzero_ps();
int stop_len = len / SSE_LEN_FLOAT;
stop_len *= SSE_LEN_FLOAT;
if (isAligned((uintptr_t) (dst), SSE_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += SSE_LEN_FLOAT) {
_mm_store_ps(dst + i, tmp);
//_mm_stream_si128(src + i, (__m128i)tmp);
}
//_mm_sfence();
} else {
for (int i = 0; i < stop_len; i += SSE_LEN_FLOAT) {
_mm_storeu_ps(dst + i, tmp);
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = 0.0f;
}
}
static inline void copy128f(float *src, float *dst, int len)
{
int stop_len = len / (2 * SSE_LEN_FLOAT);
stop_len *= (2 * SSE_LEN_FLOAT);
if (areAligned2((uintptr_t) (src), (uintptr_t) (dst), SSE_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += 2 * SSE_LEN_FLOAT) {
v4sf src_tmp = _mm_load_ps(src + i);
v4sf src_tmp2 = _mm_load_ps(src + i + SSE_LEN_FLOAT);
_mm_store_ps(dst + i, src_tmp);
_mm_store_ps(dst + i + SSE_LEN_FLOAT, src_tmp2);
}
} else {
for (int i = 0; i < stop_len; i += 2 * SSE_LEN_FLOAT) {
v4sf src_tmp = _mm_loadu_ps(src + i);
v4sf src_tmp2 = _mm_loadu_ps(src + i + SSE_LEN_FLOAT);
_mm_storeu_ps(dst + i, src_tmp);
_mm_storeu_ps(dst + i + SSE_LEN_FLOAT, src_tmp2);
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = src[i];
}
}
static inline void add128f(float *src1, float *src2, float *dst, int len)
{
int stop_len = len / (2 * SSE_LEN_FLOAT);
stop_len *= (2 * SSE_LEN_FLOAT);
if (areAligned3((uintptr_t) (src1), (uintptr_t) (src2), (uintptr_t) (dst), SSE_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += 2 * SSE_LEN_FLOAT) {
v4sf a = _mm_load_ps(src1 + i);
v4sf b = _mm_load_ps(src2 + i);
v4sf a2 = _mm_load_ps(src1 + i + SSE_LEN_FLOAT);
v4sf b2 = _mm_load_ps(src2 + i + SSE_LEN_FLOAT);
v4sf dst_tmp = _mm_add_ps(a, b);
v4sf dst_tmp2 = _mm_add_ps(a2, b2);
_mm_store_ps(dst + i, dst_tmp);
_mm_store_ps(dst + i + SSE_LEN_FLOAT, dst_tmp2);
}
} else {
for (int i = 0; i < stop_len; i += 2 * SSE_LEN_FLOAT) {
v4sf a = _mm_loadu_ps(src1 + i);
v4sf b = _mm_loadu_ps(src2 + i);
v4sf a2 = _mm_loadu_ps(src1 + i + SSE_LEN_FLOAT);
v4sf b2 = _mm_loadu_ps(src2 + i + SSE_LEN_FLOAT);
v4sf dst_tmp = _mm_add_ps(a, b);
v4sf dst_tmp2 = _mm_add_ps(a2, b2);
_mm_storeu_ps(dst + i, dst_tmp);
_mm_storeu_ps(dst + i + SSE_LEN_FLOAT, dst_tmp2);
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = src1[i] + src2[i];
}
}
static inline void mul128f(float *src1, float *src2, float *dst, int len)
{
int stop_len = len / (2 * SSE_LEN_FLOAT);
stop_len *= (2 * SSE_LEN_FLOAT);
if (areAligned3((uintptr_t) (src1), (uintptr_t) (src2), (uintptr_t) (dst), SSE_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += 2 * SSE_LEN_FLOAT) {
v4sf a = _mm_load_ps(src1 + i);
v4sf b = _mm_load_ps(src2 + i);
v4sf a2 = _mm_load_ps(src1 + i + SSE_LEN_FLOAT);
v4sf b2 = _mm_load_ps(src2 + i + SSE_LEN_FLOAT);
v4sf dst_tmp = _mm_mul_ps(a, b);
v4sf dst_tmp2 = _mm_mul_ps(a2, b2);
_mm_store_ps(dst + i, dst_tmp);
_mm_store_ps(dst + i + SSE_LEN_FLOAT, dst_tmp2);
}
} else {
for (int i = 0; i < stop_len; i += 2 * SSE_LEN_FLOAT) {
v4sf a = _mm_loadu_ps(src1 + i);
v4sf b = _mm_loadu_ps(src2 + i);
v4sf a2 = _mm_loadu_ps(src1 + i + SSE_LEN_FLOAT);
v4sf b2 = _mm_loadu_ps(src2 + i + SSE_LEN_FLOAT);
v4sf dst_tmp = _mm_mul_ps(a, b);
v4sf dst_tmp2 = _mm_mul_ps(a2, b2);
_mm_storeu_ps(dst + i, dst_tmp);
_mm_storeu_ps(dst + i + SSE_LEN_FLOAT, dst_tmp2);
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = src1[i] * src2[i];
}
}
static inline void sub128f(float *src1, float *src2, float *dst, int len)
{
int stop_len = len / (2 * SSE_LEN_FLOAT);
stop_len *= (2 * SSE_LEN_FLOAT);
if (areAligned3((uintptr_t) (src1), (uintptr_t) (src2), (uintptr_t) (dst), SSE_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += 2 * SSE_LEN_FLOAT) {
v4sf a = _mm_load_ps(src1 + i);
v4sf b = _mm_load_ps(src2 + i);
v4sf a2 = _mm_load_ps(src1 + i + SSE_LEN_FLOAT);
v4sf b2 = _mm_load_ps(src2 + i + SSE_LEN_FLOAT);
v4sf dst_tmp = _mm_sub_ps(a, b);
v4sf dst_tmp2 = _mm_sub_ps(a2, b2);
_mm_store_ps(dst + i, dst_tmp);
_mm_store_ps(dst + i + SSE_LEN_FLOAT, dst_tmp2);
}
} else {
for (int i = 0; i < stop_len; i += 2 * SSE_LEN_FLOAT) {
v4sf a = _mm_loadu_ps(src1 + i);
v4sf b = _mm_loadu_ps(src2 + i);
v4sf a2 = _mm_loadu_ps(src1 + i + SSE_LEN_FLOAT);
v4sf b2 = _mm_loadu_ps(src2 + i + SSE_LEN_FLOAT);
v4sf dst_tmp = _mm_sub_ps(a, b);
v4sf dst_tmp2 = _mm_sub_ps(a2, b2);
_mm_storeu_ps(dst + i, dst_tmp);
_mm_storeu_ps(dst + i + SSE_LEN_FLOAT, dst_tmp2);
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = src1[i] - src2[i];
}
}
// TODO : "Immediate add/mul?"
// No need for subc, just use addc(-value)
static inline void addc128f(float *src, float value, float *dst, int len)
{
const v4sf tmp = _mm_set1_ps(value);
int stop_len = len / (2 * SSE_LEN_FLOAT);
stop_len *= (2 * SSE_LEN_FLOAT);
if (areAligned2((uintptr_t) (src), (uintptr_t) (dst), SSE_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += 2 * SSE_LEN_FLOAT) {
v4sf a = _mm_load_ps(src + i);
v4sf a2 = _mm_load_ps(src + i + SSE_LEN_FLOAT);
v4sf dst_tmp = _mm_add_ps(a, tmp);
v4sf dst_tmp2 = _mm_add_ps(a2, tmp);
_mm_store_ps(dst + i, dst_tmp);
_mm_store_ps(dst + i + SSE_LEN_FLOAT, dst_tmp2);
}
} else {
for (int i = 0; i < stop_len; i += 2 * SSE_LEN_FLOAT) {
v4sf a = _mm_loadu_ps(src + i);
v4sf a2 = _mm_loadu_ps(src + i + SSE_LEN_FLOAT);
v4sf dst_tmp = _mm_add_ps(a, tmp);
v4sf dst_tmp2 = _mm_add_ps(a2, tmp);
_mm_storeu_ps(dst + i, dst_tmp);
_mm_storeu_ps(dst + i + SSE_LEN_FLOAT, dst_tmp2);
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = src[i] + value;
}
}
static inline void mulc128f(float *src, float value, float *dst, int len)
{
const v4sf tmp = _mm_set1_ps(value);
int stop_len = len / (2 * SSE_LEN_FLOAT);
stop_len *= (2 * SSE_LEN_FLOAT);
if (areAligned2((uintptr_t) (src), (uintptr_t) (dst), SSE_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += 2 * SSE_LEN_FLOAT) {
v4sf src_tmp1 = _mm_load_ps(src + i);
v4sf src_tmp2 = _mm_load_ps(src + i + SSE_LEN_FLOAT);
v4sf dst_tmp1 = _mm_mul1_ps(src_tmp1, tmp);
v4sf dst_tmp2 = _mm_mul1_ps(src_tmp2, tmp);
_mm_store_ps(dst + i, dst_tmp1);
_mm_store_ps(dst + i + SSE_LEN_FLOAT, dst_tmp2);
}
} else {
for (int i = 0; i < stop_len; i += 2 * SSE_LEN_FLOAT) {
v4sf src_tmp1 = _mm_loadu_ps(src + i);
v4sf src_tmp2 = _mm_loadu_ps(src + i + SSE_LEN_FLOAT);
v4sf dst_tmp1 = _mm_mul1_ps(src_tmp1, tmp);
v4sf dst_tmp2 = _mm_mul1_ps(src_tmp2, tmp);
_mm_storeu_ps(dst + i, dst_tmp1);
_mm_storeu_ps(dst + i + SSE_LEN_FLOAT, dst_tmp2);
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = src[i] * value;
}
}
static inline void muladd128f(float *_a, float *_b, float *_c, float *dst, int len)
{
int stop_len = len / (2 * SSE_LEN_FLOAT);
stop_len *= (2 * SSE_LEN_FLOAT);
if (areAligned2((uintptr_t) (_a), (uintptr_t) (_b), SSE_LEN_BYTES) &&
areAligned2((uintptr_t) (_c), (uintptr_t) (dst), SSE_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += 2 * SSE_LEN_FLOAT) {
v4sf a = _mm_load_ps(_a + i);
v4sf b = _mm_load_ps(_b + i);
v4sf c = _mm_load_ps(_c + i);
v4sf a2 = _mm_load_ps(_a + i + SSE_LEN_FLOAT);
v4sf b2 = _mm_load_ps(_b + i + SSE_LEN_FLOAT);
v4sf c2 = _mm_load_ps(_c + i + SSE_LEN_FLOAT);
v4sf dst_tmp = _mm_fmadd_ps_custom(a, b, c);
v4sf dst_tmp2 = _mm_fmadd_ps_custom(a2, b2, c2);
_mm_store_ps(dst + i, dst_tmp);
_mm_store_ps(dst + i + SSE_LEN_FLOAT, dst_tmp2);
}
} else {
for (int i = 0; i < stop_len; i += 2 * SSE_LEN_FLOAT) {
v4sf a = _mm_loadu_ps(_a + i);
v4sf b = _mm_loadu_ps(_b + i);
v4sf c = _mm_loadu_ps(_c + i);
v4sf a2 = _mm_loadu_ps(_a + i + SSE_LEN_FLOAT);
v4sf b2 = _mm_loadu_ps(_b + i + SSE_LEN_FLOAT);
v4sf c2 = _mm_loadu_ps(_c + i + SSE_LEN_FLOAT);
v4sf dst_tmp = _mm_fmadd_ps_custom(a, b, c);
v4sf dst_tmp2 = _mm_fmadd_ps_custom(a2, b2, c2);
_mm_storeu_ps(dst + i, dst_tmp);
_mm_storeu_ps(dst + i + SSE_LEN_FLOAT, dst_tmp2);
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = (_a[i] * _b[i]) + _c[i];
}
}
static inline void mulcadd128f(float *_a, float _b, float *_c, float *dst, int len)
{
v4sf b = _mm_set1_ps(_b);
int stop_len = len / SSE_LEN_FLOAT;
stop_len *= SSE_LEN_FLOAT;
if (areAligned3((uintptr_t) (_a), (uintptr_t) (_c), (uintptr_t) (dst), SSE_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += SSE_LEN_FLOAT) {
v4sf a = _mm_load_ps(_a + i);
v4sf c = _mm_load_ps(_c + i);
_mm_store_ps(dst + i, _mm_fmadd1_ps_custom(a, b, c));
}
} else {
for (int i = 0; i < stop_len; i += SSE_LEN_FLOAT) {
v4sf a = _mm_loadu_ps(_a + i);
v4sf c = _mm_loadu_ps(_c + i);
_mm_storeu_ps(dst + i, _mm_fmadd1_ps_custom(a, b, c));
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = _a[i] * _b + _c[i];
}
}
static inline void mulcaddc128f(float *_a, float _b, float _c, float *dst, int len)
{
v4sf b = _mm_set1_ps(_b);
v4sf c = _mm_set1_ps(_c);
int stop_len = len / SSE_LEN_FLOAT;
stop_len *= SSE_LEN_FLOAT;
if (areAligned2((uintptr_t) (_a), (uintptr_t) (dst), SSE_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += SSE_LEN_FLOAT) {
v4sf a = _mm_load_ps(_a + i);
_mm_store_ps(dst + i, _mm_fmadd1_ps_custom(a, b, c));
}
} else {
for (int i = 0; i < stop_len; i += SSE_LEN_FLOAT) {
v4sf a = _mm_loadu_ps(_a + i);
_mm_storeu_ps(dst + i, _mm_fmadd1_ps_custom(a, b, c));
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = _a[i] * _b + _c;
}
}
static inline void muladdc128f(float *_a, float *_b, float _c, float *dst, int len)
{
v4sf c = _mm_set1_ps(_c);
int stop_len = len / SSE_LEN_FLOAT;
stop_len *= SSE_LEN_FLOAT;
if (areAligned3((uintptr_t) (_a), (uintptr_t) (_b), (uintptr_t) (dst), SSE_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += SSE_LEN_FLOAT) {
v4sf a = _mm_load_ps(_a + i);
v4sf b = _mm_load_ps(_b + i);
_mm_store_ps(dst + i, _mm_fmadd_ps_custom(a, b, c));
}
} else {
for (int i = 0; i < stop_len; i += SSE_LEN_FLOAT) {
v4sf a = _mm_loadu_ps(_a + i);
v4sf b = _mm_loadu_ps(_b + i);
_mm_storeu_ps(dst + i, _mm_fmadd_ps_custom(a, b, c));
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = _a[i] * _b[i] + _c;
}
}
// warning: src2 should have no 0.0f values
static inline void div128f(float *src1, float *src2, float *dst, int len)
{
int stop_len = len / SSE_LEN_FLOAT;
stop_len *= SSE_LEN_FLOAT;
if (areAligned3((uintptr_t) (src1), (uintptr_t) (src2), (uintptr_t) (dst), SSE_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += SSE_LEN_FLOAT) {
_mm_store_ps(dst + i, _mm_div_ps(_mm_load_ps(src1 + i), _mm_load_ps(src2 + i)));
}
} else {
for (int i = 0; i < stop_len; i += SSE_LEN_FLOAT) {
_mm_storeu_ps(dst + i, _mm_div_ps(_mm_loadu_ps(src1 + i), _mm_loadu_ps(src2 + i)));
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = src1[i] / src2[i];
}
}
// TODO : remove previous index dependency to become Out Of Order
static inline void vectorSlope128f(float *dst, int len, float offset, float slope)
{
v4sf coef = _mm_set_ps(3.0f * slope, 2.0f * slope, slope, 0.0f);
v4sf slope8_vec = _mm_set1_ps(8.0f * slope);
v4sf curVal = _mm_add_ps(_mm_set1_ps(offset), coef);
v4sf curVal2 = _mm_add_ps(_mm_set1_ps(offset), coef);
curVal2 = _mm_add_ps(curVal2, _mm_set1_ps(4.0f * slope));
int stop_len = len / (2 * SSE_LEN_FLOAT);
stop_len *= (2 * SSE_LEN_FLOAT);
if (len >= 2*SSE_LEN_FLOAT) {
if (isAligned((uintptr_t) (dst), SSE_LEN_BYTES)) {
_mm_store_ps(dst + 0, curVal);
_mm_store_ps(dst + SSE_LEN_FLOAT, curVal2);
} else {
_mm_storeu_ps(dst + 0, curVal);
_mm_storeu_ps(dst + SSE_LEN_FLOAT, curVal2);
}
if (isAligned((uintptr_t) (dst), SSE_LEN_BYTES)) {
for (int i = 2 * SSE_LEN_FLOAT; i < stop_len; i += 2 * SSE_LEN_FLOAT) {
curVal = _mm_add_ps(curVal, slope8_vec);
_mm_store_ps(dst + i, curVal);
curVal2 = _mm_add_ps(curVal2, slope8_vec);
_mm_store_ps(dst + i + SSE_LEN_FLOAT, curVal2);
}
} else {
for (int i = 2 * SSE_LEN_FLOAT; i < stop_len; i += 2 * SSE_LEN_FLOAT) {
curVal = _mm_add_ps(curVal, slope8_vec);
_mm_storeu_ps(dst + i, curVal);
curVal2 = _mm_add_ps(curVal2, slope8_vec);
_mm_storeu_ps(dst + i + SSE_LEN_FLOAT, curVal2);
}
}
}
for (int i = stop_len; i < len; i++) {
dst[i] = offset + slope * (float) i;
}
}
static inline void convertFloat32ToU8_128(float *src, uint8_t *dst, int len, int rounding_mode, int scale_factor)
{
int stop_len = len / (4 * SSE_LEN_FLOAT);
stop_len *= (4 * SSE_LEN_FLOAT);
float scale_fact_mult = 1.0f / (float) (1 << scale_factor);
v4sf scale_fact_vec = _mm_set1_ps(scale_fact_mult);
int _mm_rounding_ori = _MM_GET_ROUNDING_MODE(); // save rounding mode
int rounding_ori = fegetround();
if (rounding_mode == RndZero) {
_MM_SET_ROUNDING_MODE(_MM_ROUND_TOWARD_ZERO); // rounding_vec = ROUNDTOZERO;
fesetround(FE_TOWARDZERO);
} else if (rounding_mode == RndNear){
_MM_SET_ROUNDING_MODE(_MM_ROUND_NEAREST); // rounding_vec = ROUNDTONEAREST;
fesetround(FE_TONEAREST);
}
if(rounding_mode != RndFinancial){
if (areAligned2((uintptr_t) (src), (uintptr_t) (dst), SSE_LEN_BYTES)) {
for (int i = 0; i < stop_len; i += 4 * SSE_LEN_FLOAT) {
v4sf src_tmp1 = _mm_load_ps(src + i);
v4sf src_tmp2 = _mm_load_ps(src + i + SSE_LEN_FLOAT);
v4sf src_tmp3 = _mm_load_ps(src + i + 2 * SSE_LEN_FLOAT);
v4sf src_tmp4 = _mm_load_ps(src + i + 3 * SSE_LEN_FLOAT);
v4sf tmp1 = _mm_mul1_ps(src_tmp1, scale_fact_vec);
v4sf tmp2 = _mm_mul1_ps(src_tmp2, scale_fact_vec);
v4sf tmp3 = _mm_mul1_ps(src_tmp3, scale_fact_vec);
v4sf tmp4 = _mm_mul1_ps(src_tmp4, scale_fact_vec);
v4si tmp1_int = _mm_cvtps_epi32(tmp1);
v4si tmp2_int = _mm_cvtps_epi32(tmp2);
v4si tmp3_int = _mm_cvtps_epi32(tmp3);
v4si tmp4_int = _mm_cvtps_epi32(tmp4);
v4si tmp5 = _mm_packs_epi32(tmp1_int, tmp2_int);
v4si tmp6 = _mm_packs_epi32(tmp3_int, tmp4_int);
v4si tmp7 = _mm_packus_epi16(tmp5, tmp6);
_mm_store_si128((__m128i *) (dst + i), tmp7);
}
} else {
for (int i = 0; i < stop_len; i += 4 * SSE_LEN_FLOAT) {
v4sf src_tmp1 = _mm_loadu_ps(src + i);
v4sf src_tmp2 = _mm_loadu_ps(src + i + SSE_LEN_FLOAT);
v4sf src_tmp3 = _mm_loadu_ps(src + i + 2 * SSE_LEN_FLOAT);
v4sf src_tmp4 = _mm_loadu_ps(src + i + 3 * SSE_LEN_FLOAT);
v4sf tmp1 = _mm_mul1_ps(src_tmp1, scale_fact_vec);
v4sf tmp2 = _mm_mul1_ps(src_tmp2, scale_fact_vec);