Merge pull request #2972 from xiegengxin/rot-intrinsic

Improve the performance of rot by using AVX512 and AVX2 intrinsic
This commit is contained in:
Martin Kroeker 2020-11-08 22:43:00 +01:00 committed by GitHub
commit ff16329cb7
No known key found for this signature in database
GPG Key ID: 4AEE18F83AFDEB23
9 changed files with 648 additions and 5 deletions

View File

@ -80,7 +80,7 @@ int blas_level1_thread(int mode, BLASLONG m, BLASLONG n, BLASLONG k, void *alpha
break;
}
mode |= BLAS_LEGACY;
if(!(mode & BLAS_PTHREAD)) mode |= BLAS_LEGACY;
for (i = 0; i < nthreads; i++) blas_queue_init(&queue[i]);

View File

@ -476,12 +476,15 @@ int exec_blas(BLASLONG num, blas_queue_t *queue){
routine = queue -> routine;
if (!(queue -> mode & BLAS_LEGACY)) {
if (queue -> mode & BLAS_LEGACY) {
legacy_exec(routine, queue -> mode, queue -> args, queue -> sb);
} else
if (queue -> mode & BLAS_PTHREAD) {
void (*pthreadcompat)(void *) = queue -> routine;
(pthreadcompat)(queue -> args);
} else
(routine)(queue -> args, queue -> range_m, queue -> range_n,
queue -> sa, queue -> sb, 0);
} else {
legacy_exec(routine, queue -> mode, queue -> args, queue -> sb);
}
if ((num > 1) && queue -> next) exec_blas_async_wait(num - 1, queue -> next);

View File

@ -102,3 +102,6 @@ ZGEMM3MKERNEL = zgemm3m_kernel_4x4_haswell.c
SASUMKERNEL = sasum.c
DASUMKERNEL = dasum.c
SROTKERNEL = srot.c
DROTKERNEL = drot.c

139
kernel/x86_64/drot.c Normal file
View File

@ -0,0 +1,139 @@
#include "common.h"
#if defined(SKYLAKEX)
#include "drot_microk_skylakex-2.c"
#elif defined(HASWELL)
#include "drot_microk_haswell-2.c"
#endif
#ifndef HAVE_DROT_KERNEL
static void drot_kernel(BLASLONG n, FLOAT *x, FLOAT *y, FLOAT c, FLOAT s)
{
BLASLONG i = 0;
FLOAT f0, f1, f2, f3;
FLOAT x0, x1, x2, x3;
FLOAT g0, g1, g2, g3;
FLOAT y0, y1, y2, y3;
FLOAT* xp = x;
FLOAT* yp = y;
BLASLONG n1 = n & (~7);
while (i < n1) {
x0 = xp[0];
y0 = yp[0];
x1 = xp[1];
y1 = yp[1];
x2 = xp[2];
y2 = yp[2];
x3 = xp[3];
y3 = yp[3];
f0 = c*x0 + s*y0;
g0 = c*y0 - s*x0;
f1 = c*x1 + s*y1;
g1 = c*y1 - s*x1;
f2 = c*x2 + s*y2;
g2 = c*y2 - s*x2;
f3 = c*x3 + s*y3;
g3 = c*y3 - s*x3;
xp[0] = f0;
yp[0] = g0;
xp[1] = f1;
yp[1] = g1;
xp[2] = f2;
yp[2] = g2;
xp[3] = f3;
yp[3] = g3;
xp += 4;
yp += 4;
i += 4;
}
while (i < n) {
FLOAT temp = c*x[i] + s*y[i];
y[i] = c*y[i] - s*x[i];
x[i] = temp;
i++;
}
}
#endif
static void rot_compute(BLASLONG n, FLOAT *x, BLASLONG inc_x, FLOAT *y, BLASLONG inc_y, FLOAT c, FLOAT s)
{
BLASLONG i = 0;
BLASLONG ix = 0, iy = 0;
FLOAT temp;
if (n <= 0)
return;
if ((inc_x == 1) && (inc_y == 1)) {
drot_kernel(n, x, y, c, s);
}
else {
while (i < n) {
temp = c * x[ix] + s * y[iy];
y[iy] = c * y[iy] - s * x[ix];
x[ix] = temp;
ix += inc_x;
iy += inc_y;
i++;
}
}
return;
}
#if defined(SMP)
static int rot_thread_function(blas_arg_t *args)
{
rot_compute(args->m,
args->a, args->lda,
args->b, args->ldb,
((FLOAT *)args->alpha)[0],
((FLOAT *)args->alpha)[1]);
return 0;
}
extern int blas_level1_thread(int mode, BLASLONG m, BLASLONG n, BLASLONG k, void *alpha, void *a, BLASLONG lda, void *b, BLASLONG ldb, void *c, BLASLONG ldc, int (*function)(), int nthreads);
#endif
int CNAME(BLASLONG n, FLOAT *x, BLASLONG inc_x, FLOAT *y, BLASLONG inc_y, FLOAT c, FLOAT s)
{
#if defined(SMP)
int nthreads;
FLOAT alpha[2]={c, s};
FLOAT dummy_c;
#endif
#if defined(SMP)
if (inc_x == 0 || inc_y == 0 || n <= 100000) {
nthreads = 1;
}
else {
nthreads = num_cpu_avail(1);
}
if (nthreads == 1) {
rot_compute(n, x, inc_x, y, inc_y, c, s);
}
else {
#if defined(DOUBLE)
int mode = BLAS_DOUBLE | BLAS_REAL | BLAS_PTHREAD;
#else
int mode = BLAS_SINGLE | BLAS_REAL | BLAS_PTHREAD;
#endif
blas_level1_thread(mode, n, 0, 0, alpha, x, inc_x, y, inc_y, &dummy_c, 0, (void *)rot_thread_function, nthreads);
}
#else
rot_compute(n, x, inc_x, y, inc_y, c, s);
#endif
return 0;
}

View File

@ -0,0 +1,87 @@
/* need a new enough GCC for avx512 support */
#if (( defined(__GNUC__) && __GNUC__ > 6 && defined(__AVX512CD__)) || (defined(__clang__) && __clang_major__ >= 9))
#define HAVE_DROT_KERNEL 1
#include <immintrin.h>
#include <stdint.h>
static void drot_kernel(BLASLONG n, FLOAT *x, FLOAT *y, FLOAT c, FLOAT s)
{
BLASLONG i = 0;
BLASLONG tail_index_4 = n&(~3);
BLASLONG tail_index_16 = n&(~15);
__m256d c_256, s_256;
if (n >= 4) {
c_256 = _mm256_set1_pd(c);
s_256 = _mm256_set1_pd(s);
}
__m256d x0, x1, x2, x3;
__m256d y0, y1, y2, y3;
__m256d t0, t1, t2, t3;
for (i = 0; i < tail_index_16; i += 16) {
x0 = _mm256_loadu_pd(&x[i + 0]);
x1 = _mm256_loadu_pd(&x[i + 4]);
x2 = _mm256_loadu_pd(&x[i + 8]);
x3 = _mm256_loadu_pd(&x[i +12]);
y0 = _mm256_loadu_pd(&y[i + 0]);
y1 = _mm256_loadu_pd(&y[i + 4]);
y2 = _mm256_loadu_pd(&y[i + 8]);
y3 = _mm256_loadu_pd(&y[i +12]);
t0 = _mm256_mul_pd(s_256, y0);
t1 = _mm256_mul_pd(s_256, y1);
t2 = _mm256_mul_pd(s_256, y2);
t3 = _mm256_mul_pd(s_256, y3);
t0 = _mm256_fmadd_pd(c_256, x0, t0);
t1 = _mm256_fmadd_pd(c_256, x1, t1);
t2 = _mm256_fmadd_pd(c_256, x2, t2);
t3 = _mm256_fmadd_pd(c_256, x3, t3);
_mm256_storeu_pd(&x[i + 0], t0);
_mm256_storeu_pd(&x[i + 4], t1);
_mm256_storeu_pd(&x[i + 8], t2);
_mm256_storeu_pd(&x[i +12], t3);
t0 = _mm256_mul_pd(s_256, x0);
t1 = _mm256_mul_pd(s_256, x1);
t2 = _mm256_mul_pd(s_256, x2);
t3 = _mm256_mul_pd(s_256, x3);
t0 = _mm256_fmsub_pd(c_256, y0, t0);
t1 = _mm256_fmsub_pd(c_256, y1, t1);
t2 = _mm256_fmsub_pd(c_256, y2, t2);
t3 = _mm256_fmsub_pd(c_256, y3, t3);
_mm256_storeu_pd(&y[i + 0], t0);
_mm256_storeu_pd(&y[i + 4], t1);
_mm256_storeu_pd(&y[i + 8], t2);
_mm256_storeu_pd(&y[i +12], t3);
}
for (i = tail_index_16; i < tail_index_4; i += 4) {
x0 = _mm256_loadu_pd(&x[i]);
y0 = _mm256_loadu_pd(&y[i]);
t0 = _mm256_mul_pd(s_256, y0);
t0 = _mm256_fmadd_pd(c_256, x0, t0);
_mm256_storeu_pd(&x[i], t0);
t0 = _mm256_mul_pd(s_256, x0);
t0 = _mm256_fmsub_pd(c_256, y0, t0);
_mm256_storeu_pd(&y[i], t0);
}
for (i = tail_index_4; i < n; ++i) {
FLOAT temp = c * x[i] + s * y[i];
y[i] = c * y[i] - s * x[i];
x[i] = temp;
}
}
#endif

View File

@ -0,0 +1,94 @@
/* need a new enough GCC for avx512 support */
#if (( defined(__GNUC__) && __GNUC__ > 6 && defined(__AVX512CD__)) || (defined(__clang__) && __clang_major__ >= 9))
#define HAVE_DROT_KERNEL 1
#include <immintrin.h>
#include <stdint.h>
static void drot_kernel(BLASLONG n, FLOAT *x, FLOAT *y, FLOAT c, FLOAT s)
{
BLASLONG i = 0;
BLASLONG n1 = n;
BLASLONG tail_index_8 = 0;
BLASLONG tail_index_32 = 0;
__m512d c_512 = _mm512_set1_pd(c);
__m512d s_512 = _mm512_set1_pd(s);
tail_index_8 = n1 & (~7);
tail_index_32 = n1 & (~31);
__m512d x0, x1, x2, x3;
__m512d y0, y1, y2, y3;
__m512d t0, t1, t2, t3;
for (i = 0; i < tail_index_32; i += 32) {
x0 = _mm512_loadu_pd(&x[i + 0]);
x1 = _mm512_loadu_pd(&x[i + 8]);
x2 = _mm512_loadu_pd(&x[i +16]);
x3 = _mm512_loadu_pd(&x[i +24]);
y0 = _mm512_loadu_pd(&y[i + 0]);
y1 = _mm512_loadu_pd(&y[i + 8]);
y2 = _mm512_loadu_pd(&y[i +16]);
y3 = _mm512_loadu_pd(&y[i +24]);
t0 = _mm512_mul_pd(s_512, y0);
t1 = _mm512_mul_pd(s_512, y1);
t2 = _mm512_mul_pd(s_512, y2);
t3 = _mm512_mul_pd(s_512, y3);
t0 = _mm512_fmadd_pd(c_512, x0, t0);
t1 = _mm512_fmadd_pd(c_512, x1, t1);
t2 = _mm512_fmadd_pd(c_512, x2, t2);
t3 = _mm512_fmadd_pd(c_512, x3, t3);
_mm512_storeu_pd(&x[i + 0], t0);
_mm512_storeu_pd(&x[i + 8], t1);
_mm512_storeu_pd(&x[i +16], t2);
_mm512_storeu_pd(&x[i +24], t3);
t0 = _mm512_mul_pd(s_512, x0);
t1 = _mm512_mul_pd(s_512, x1);
t2 = _mm512_mul_pd(s_512, x2);
t3 = _mm512_mul_pd(s_512, x3);
t0 = _mm512_fmsub_pd(c_512, y0, t0);
t1 = _mm512_fmsub_pd(c_512, y1, t1);
t2 = _mm512_fmsub_pd(c_512, y2, t2);
t3 = _mm512_fmsub_pd(c_512, y3, t3);
_mm512_storeu_pd(&y[i + 0], t0);
_mm512_storeu_pd(&y[i + 8], t1);
_mm512_storeu_pd(&y[i +16], t2);
_mm512_storeu_pd(&y[i +24], t3);
}
for (i = tail_index_32; i < tail_index_8; i += 8) {
x0 = _mm512_loadu_pd(&x[i]);
y0 = _mm512_loadu_pd(&y[i]);
t0 = _mm512_mul_pd(s_512, y0);
t0 = _mm512_fmadd_pd(c_512, x0, t0);
_mm512_storeu_pd(&x[i], t0);
t0 = _mm512_mul_pd(s_512, x0);
t0 = _mm512_fmsub_pd(c_512, y0, t0);
_mm512_storeu_pd(&y[i], t0);
}
if ((n1&7) > 0) {
unsigned char tail_mask8 = (((unsigned char) 0xff) >> (8 -(n1&7)));
__m512d tail_x = _mm512_maskz_loadu_pd(*((__mmask8*) &tail_mask8), &x[tail_index_8]);
__m512d tail_y = _mm512_maskz_loadu_pd(*((__mmask8*) &tail_mask8), &y[tail_index_8]);
__m512d temp = _mm512_mul_pd(s_512, tail_y);
temp = _mm512_fmadd_pd(c_512, tail_x, temp);
_mm512_mask_storeu_pd(&x[tail_index_8],*((__mmask8*)&tail_mask8), temp);
temp = _mm512_mul_pd(s_512, tail_x);
temp = _mm512_fmsub_pd(c_512, tail_y, temp);
_mm512_mask_storeu_pd(&y[tail_index_8], *((__mmask8*)&tail_mask8), temp);
}
}
#endif

139
kernel/x86_64/srot.c Normal file
View File

@ -0,0 +1,139 @@
#include "common.h"
#if defined(SKYLAKEX)
#include "srot_microk_skylakex-2.c"
#elif defined(HASWELL)
#include "srot_microk_haswell-2.c"
#endif
#ifndef HAVE_SROT_KERNEL
static void srot_kernel(BLASLONG n, FLOAT *x, FLOAT *y, FLOAT c, FLOAT s)
{
BLASLONG i = 0;
FLOAT f0, f1, f2, f3;
FLOAT x0, x1, x2, x3;
FLOAT g0, g1, g2, g3;
FLOAT y0, y1, y2, y3;
FLOAT* xp = x;
FLOAT* yp = y;
BLASLONG n1 = n & (~7);
while (i < n1) {
x0 = xp[0];
y0 = yp[0];
x1 = xp[1];
y1 = yp[1];
x2 = xp[2];
y2 = yp[2];
x3 = xp[3];
y3 = yp[3];
f0 = c*x0 + s*y0;
g0 = c*y0 - s*x0;
f1 = c*x1 + s*y1;
g1 = c*y1 - s*x1;
f2 = c*x2 + s*y2;
g2 = c*y2 - s*x2;
f3 = c*x3 + s*y3;
g3 = c*y3 - s*x3;
xp[0] = f0;
yp[0] = g0;
xp[1] = f1;
yp[1] = g1;
xp[2] = f2;
yp[2] = g2;
xp[3] = f3;
yp[3] = g3;
xp += 4;
yp += 4;
i += 4;
}
while (i < n) {
FLOAT temp = c*x[i] + s*y[i];
y[i] = c*y[i] - s*x[i];
x[i] = temp;
i++;
}
}
#endif
static void rot_compute(BLASLONG n, FLOAT *x, BLASLONG inc_x, FLOAT *y, BLASLONG inc_y, FLOAT c, FLOAT s)
{
BLASLONG i = 0;
BLASLONG ix = 0, iy = 0;
FLOAT temp;
if (n <= 0)
return;
if ((inc_x == 1) && (inc_y == 1)) {
srot_kernel(n, x, y, c, s);
}
else {
while (i < n) {
temp = c * x[ix] + s * y[iy];
y[iy] = c * y[iy] - s * x[ix];
x[ix] = temp;
ix += inc_x;
iy += inc_y;
i++;
}
}
return;
}
#if defined(SMP)
static int rot_thread_function(blas_arg_t *args)
{
rot_compute(args->m,
args->a, args->lda,
args->b, args->ldb,
((float *)args->alpha)[0],
((float *)args->alpha)[1]);
return 0;
}
extern int blas_level1_thread(int mode, BLASLONG m, BLASLONG n, BLASLONG k, void *alpha, void *a, BLASLONG lda, void *b, BLASLONG ldb, void *c, BLASLONG ldc, int (*function)(), int nthreads);
#endif
int CNAME(BLASLONG n, FLOAT *x, BLASLONG inc_x, FLOAT *y, BLASLONG inc_y, FLOAT c, FLOAT s)
{
#if defined(SMP)
int nthreads;
FLOAT alpha[2]={c, s};
FLOAT dummy_c;
#endif
#if defined(SMP)
if (inc_x == 0 || inc_y == 0 || n <= 100000) {
nthreads = 1;
}
else {
nthreads = num_cpu_avail(1);
}
if (nthreads == 1) {
rot_compute(n, x, inc_x, y, inc_y, c, s);
}
else {
#if defined(DOUBLE)
int mode = BLAS_DOUBLE | BLAS_REAL | BLAS_PTHREAD;
#else
int mode = BLAS_SINGLE | BLAS_REAL | BLAS_PTHREAD;
#endif
blas_level1_thread(mode, n, 0, 0, alpha, x, inc_x, y, inc_y, &dummy_c, 0, (void *)rot_thread_function, nthreads);
}
#else
rot_compute(n, x, inc_x, y, inc_y, c, s);
#endif
return 0;
}

View File

@ -0,0 +1,87 @@
/* need a new enough GCC for avx512 support */
#if (( defined(__GNUC__) && __GNUC__ > 6 && defined(__AVX512CD__)) || (defined(__clang__) && __clang_major__ >= 9))
#define HAVE_SROT_KERNEL 1
#include <immintrin.h>
#include <stdint.h>
static void srot_kernel(BLASLONG n, FLOAT *x, FLOAT *y, FLOAT c, FLOAT s)
{
BLASLONG i = 0;
BLASLONG tail_index_8 = n&(~7);
BLASLONG tail_index_32 = n&(~31);
__m256 c_256, s_256;
if (n >= 8) {
c_256 = _mm256_set1_ps(c);
s_256 = _mm256_set1_ps(s);
}
__m256 x0, x1, x2, x3;
__m256 y0, y1, y2, y3;
__m256 t0, t1, t2, t3;
for (i = 0; i < tail_index_32; i += 32) {
x0 = _mm256_loadu_ps(&x[i + 0]);
x1 = _mm256_loadu_ps(&x[i + 8]);
x2 = _mm256_loadu_ps(&x[i +16]);
x3 = _mm256_loadu_ps(&x[i +24]);
y0 = _mm256_loadu_ps(&y[i + 0]);
y1 = _mm256_loadu_ps(&y[i + 8]);
y2 = _mm256_loadu_ps(&y[i +16]);
y3 = _mm256_loadu_ps(&y[i +24]);
t0 = _mm256_mul_ps(s_256, y0);
t1 = _mm256_mul_ps(s_256, y1);
t2 = _mm256_mul_ps(s_256, y2);
t3 = _mm256_mul_ps(s_256, y3);
t0 = _mm256_fmadd_ps(c_256, x0, t0);
t1 = _mm256_fmadd_ps(c_256, x1, t1);
t2 = _mm256_fmadd_ps(c_256, x2, t2);
t3 = _mm256_fmadd_ps(c_256, x3, t3);
_mm256_storeu_ps(&x[i + 0], t0);
_mm256_storeu_ps(&x[i + 8], t1);
_mm256_storeu_ps(&x[i +16], t2);
_mm256_storeu_ps(&x[i +24], t3);
t0 = _mm256_mul_ps(s_256, x0);
t1 = _mm256_mul_ps(s_256, x1);
t2 = _mm256_mul_ps(s_256, x2);
t3 = _mm256_mul_ps(s_256, x3);
t0 = _mm256_fmsub_ps(c_256, y0, t0);
t1 = _mm256_fmsub_ps(c_256, y1, t1);
t2 = _mm256_fmsub_ps(c_256, y2, t2);
t3 = _mm256_fmsub_ps(c_256, y3, t3);
_mm256_storeu_ps(&y[i + 0], t0);
_mm256_storeu_ps(&y[i + 8], t1);
_mm256_storeu_ps(&y[i +16], t2);
_mm256_storeu_ps(&y[i +24], t3);
}
for (i = tail_index_32; i < tail_index_8; i += 8) {
x0 = _mm256_loadu_ps(&x[i]);
y0 = _mm256_loadu_ps(&y[i]);
t0 = _mm256_mul_ps(s_256, y0);
t0 = _mm256_fmadd_ps(c_256, x0, t0);
_mm256_storeu_ps(&x[i], t0);
t0 = _mm256_mul_ps(s_256, x0);
t0 = _mm256_fmsub_ps(c_256, y0, t0);
_mm256_storeu_ps(&y[i], t0);
}
for (i = tail_index_8; i < n; ++i) {
FLOAT temp = c * x[i] + s * y[i];
y[i] = c * y[i] - s * x[i];
x[i] = temp;
}
}
#endif

View File

@ -0,0 +1,91 @@
/* need a new enough GCC for avx512 support */
#if (( defined(__GNUC__) && __GNUC__ > 6 && defined(__AVX512CD__)) || (defined(__clang__) && __clang_major__ >= 9))
#define HAVE_SROT_KERNEL 1
#include <immintrin.h>
#include <stdint.h>
static void srot_kernel(BLASLONG n, FLOAT *x, FLOAT *y, FLOAT c, FLOAT s)
{
BLASLONG i = 0;
__m512 c_512, s_512;
c_512 = _mm512_set1_ps(c);
s_512 = _mm512_set1_ps(s);
BLASLONG tail_index_16 = n&(~15);
BLASLONG tail_index_64 = n&(~63);
__m512 x0, x1, x2, x3;
__m512 y0, y1, y2, y3;
__m512 t0, t1, t2, t3;
for (i = 0; i < tail_index_64; i += 64) {
x0 = _mm512_loadu_ps(&x[i + 0]);
x1 = _mm512_loadu_ps(&x[i +16]);
x2 = _mm512_loadu_ps(&x[i +32]);
x3 = _mm512_loadu_ps(&x[i +48]);
y0 = _mm512_loadu_ps(&y[i + 0]);
y1 = _mm512_loadu_ps(&y[i +16]);
y2 = _mm512_loadu_ps(&y[i +32]);
y3 = _mm512_loadu_ps(&y[i +48]);
t0 = _mm512_mul_ps(s_512, y0);
t1 = _mm512_mul_ps(s_512, y1);
t2 = _mm512_mul_ps(s_512, y2);
t3 = _mm512_mul_ps(s_512, y3);
t0 = _mm512_fmadd_ps(c_512, x0, t0);
t1 = _mm512_fmadd_ps(c_512, x1, t1);
t2 = _mm512_fmadd_ps(c_512, x2, t2);
t3 = _mm512_fmadd_ps(c_512, x3, t3);
_mm512_storeu_ps(&x[i + 0], t0);
_mm512_storeu_ps(&x[i +16], t1);
_mm512_storeu_ps(&x[i +32], t2);
_mm512_storeu_ps(&x[i +48], t3);
t0 = _mm512_mul_ps(s_512, x0);
t1 = _mm512_mul_ps(s_512, x1);
t2 = _mm512_mul_ps(s_512, x2);
t3 = _mm512_mul_ps(s_512, x3);
t0 = _mm512_fmsub_ps(c_512, y0, t0);
t1 = _mm512_fmsub_ps(c_512, y1, t1);
t2 = _mm512_fmsub_ps(c_512, y2, t2);
t3 = _mm512_fmsub_ps(c_512, y3, t3);
_mm512_storeu_ps(&y[i + 0], t0);
_mm512_storeu_ps(&y[i +16], t1);
_mm512_storeu_ps(&y[i +32], t2);
_mm512_storeu_ps(&y[i +48], t3);
}
for (i = tail_index_64; i < tail_index_16; i += 16) {
x0 = _mm512_loadu_ps(&x[i]);
y0 = _mm512_loadu_ps(&y[i]);
t0 = _mm512_mul_ps(s_512, y0);
t0 = _mm512_fmadd_ps(c_512, x0, t0);
_mm512_storeu_ps(&x[i], t0);
t0 = _mm512_mul_ps(s_512, x0);
t0 = _mm512_fmsub_ps(c_512, y0, t0);
_mm512_storeu_ps(&y[i], t0);
}
if ((n & 15) > 0) {
uint16_t tail_mask16 = (((uint16_t) 0xffff) >> (16-(n&15)));
__m512 tail_x = _mm512_maskz_loadu_ps(*((__mmask16*)&tail_mask16), &x[tail_index_16]);
__m512 tail_y = _mm512_maskz_loadu_ps(*((__mmask16*)&tail_mask16), &y[tail_index_16]);
__m512 temp = _mm512_mul_ps(s_512, tail_y);
temp = _mm512_fmadd_ps(c_512, tail_x, temp);
_mm512_mask_storeu_ps(&x[tail_index_16], *((__mmask16*)&tail_mask16), temp);
temp = _mm512_mul_ps(s_512, tail_x);
temp = _mm512_fmsub_ps(c_512, tail_y, temp);
_mm512_mask_storeu_ps(&y[tail_index_16], *((__mmask16*)&tail_mask16), temp);
}
}
#endif