mirror of
https://github.com/paboyle/Grid.git
synced 2024-11-14 01:35:36 +00:00
606 lines
17 KiB
C++
606 lines
17 KiB
C++
/*************************************************************************************
|
|
|
|
Grid physics library, www.github.com/paboyle/Grid
|
|
|
|
Source file: ./lib/simd/Grid_neon.h
|
|
|
|
Copyright (C) 2015
|
|
|
|
Author: Nils Meyer <nils.meyer@ur.de>
|
|
Author: Peter Boyle <paboyle@ph.ed.ac.uk>
|
|
Author: neo <cossu@post.kek.jp>
|
|
|
|
This program is free software; you can redistribute it and/or modify
|
|
it under the terms of the GNU General Public License as published by
|
|
the Free Software Foundation; either version 2 of the License, or
|
|
(at your option) any later version.
|
|
|
|
This program is distributed in the hope that it will be useful,
|
|
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
|
GNU General Public License for more details.
|
|
|
|
You should have received a copy of the GNU General Public License along
|
|
with this program; if not, write to the Free Software Foundation, Inc.,
|
|
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
|
|
|
|
See the full license in the file "LICENSE" in the top level distribution directory
|
|
*************************************************************************************/
|
|
/* END LEGAL */
|
|
|
|
/*
|
|
|
|
ARMv8 NEON intrinsics layer by
|
|
|
|
Nils Meyer <nils.meyer@ur.de>,
|
|
University of Regensburg, Germany
|
|
SFB/TRR55
|
|
|
|
*/
|
|
|
|
#ifndef GEN_SIMD_WIDTH
|
|
#define GEN_SIMD_WIDTH 16u
|
|
#endif
|
|
|
|
#include "Grid_generic_types.h"
|
|
#include <arm_neon.h>
|
|
|
|
namespace Grid {
|
|
namespace Optimization {
|
|
|
|
template<class vtype>
|
|
union uconv {
|
|
float32x4_t f;
|
|
vtype v;
|
|
};
|
|
union u128f {
|
|
float32x4_t v;
|
|
float f[4];
|
|
};
|
|
union u128d {
|
|
float64x2_t v;
|
|
double f[2];
|
|
};
|
|
// half precision
|
|
union u128h {
|
|
float16x8_t v;
|
|
uint16_t f[8];
|
|
};
|
|
|
|
struct Vsplat{
|
|
//Complex float
|
|
inline float32x4_t operator()(float a, float b){
|
|
float tmp[4]={a,b,a,b};
|
|
return vld1q_f32(tmp);
|
|
}
|
|
// Real float
|
|
inline float32x4_t operator()(float a){
|
|
return vdupq_n_f32(a);
|
|
}
|
|
//Complex double
|
|
inline float64x2_t operator()(double a, double b){
|
|
double tmp[2]={a,b};
|
|
return vld1q_f64(tmp);
|
|
}
|
|
//Real double // N:tbc
|
|
inline float64x2_t operator()(double a){
|
|
return vdupq_n_f64(a);
|
|
}
|
|
//Integer // N:tbc
|
|
inline uint32x4_t operator()(Integer a){
|
|
return vdupq_n_u32(a);
|
|
}
|
|
};
|
|
|
|
struct Vstore{
|
|
//Float
|
|
inline void operator()(float32x4_t a, float* F){
|
|
vst1q_f32(F, a);
|
|
}
|
|
//Double
|
|
inline void operator()(float64x2_t a, double* D){
|
|
vst1q_f64(D, a);
|
|
}
|
|
//Integer
|
|
inline void operator()(uint32x4_t a, Integer* I){
|
|
vst1q_u32(I, a);
|
|
}
|
|
|
|
};
|
|
|
|
struct Vstream{ // N:equivalents to _mm_stream_p* in NEON?
|
|
//Float // N:generic
|
|
inline void operator()(float * a, float32x4_t b){
|
|
memcpy(a,&b,4*sizeof(float));
|
|
}
|
|
//Double // N:generic
|
|
inline void operator()(double * a, float64x2_t b){
|
|
memcpy(a,&b,2*sizeof(double));
|
|
}
|
|
|
|
|
|
};
|
|
|
|
// Nils: Vset untested; not used currently in Grid at all;
|
|
// git commit 4a8c4ccfba1d05159348d21a9698028ea847e77b
|
|
struct Vset{
|
|
// Complex float // N:ok
|
|
inline float32x4_t operator()(Grid::ComplexF *a){
|
|
float tmp[4]={a[1].imag(),a[1].real(),a[0].imag(),a[0].real()};
|
|
return vld1q_f32(tmp);
|
|
}
|
|
// Complex double // N:ok
|
|
inline float64x2_t operator()(Grid::ComplexD *a){
|
|
double tmp[2]={a[0].imag(),a[0].real()};
|
|
return vld1q_f64(tmp);
|
|
}
|
|
// Real float // N:ok
|
|
inline float32x4_t operator()(float *a){
|
|
float tmp[4]={a[3],a[2],a[1],a[0]};
|
|
return vld1q_f32(tmp);
|
|
}
|
|
// Real double // N:ok
|
|
inline float64x2_t operator()(double *a){
|
|
double tmp[2]={a[1],a[0]};
|
|
return vld1q_f64(tmp);
|
|
}
|
|
// Integer // N:ok
|
|
inline uint32x4_t operator()(Integer *a){
|
|
return vld1q_dup_u32(a);
|
|
}
|
|
};
|
|
|
|
// N:leaving as is
|
|
template <typename Out_type, typename In_type>
|
|
struct Reduce{
|
|
//Need templated class to overload output type
|
|
//General form must generate error if compiled
|
|
inline Out_type operator()(In_type in){
|
|
printf("Error, using wrong Reduce function\n");
|
|
exit(1);
|
|
return 0;
|
|
}
|
|
};
|
|
|
|
/////////////////////////////////////////////////////
|
|
// Arithmetic operations
|
|
/////////////////////////////////////////////////////
|
|
struct Sum{
|
|
//Complex/Real float
|
|
inline float32x4_t operator()(float32x4_t a, float32x4_t b){
|
|
return vaddq_f32(a,b);
|
|
}
|
|
//Complex/Real double
|
|
inline float64x2_t operator()(float64x2_t a, float64x2_t b){
|
|
return vaddq_f64(a,b);
|
|
}
|
|
//Integer
|
|
inline uint32x4_t operator()(uint32x4_t a, uint32x4_t b){
|
|
return vaddq_u32(a,b);
|
|
}
|
|
};
|
|
|
|
struct Sub{
|
|
//Complex/Real float
|
|
inline float32x4_t operator()(float32x4_t a, float32x4_t b){
|
|
return vsubq_f32(a,b);
|
|
}
|
|
//Complex/Real double
|
|
inline float64x2_t operator()(float64x2_t a, float64x2_t b){
|
|
return vsubq_f64(a,b);
|
|
}
|
|
//Integer
|
|
inline uint32x4_t operator()(uint32x4_t a, uint32x4_t b){
|
|
return vsubq_u32(a,b);
|
|
}
|
|
};
|
|
|
|
struct MultRealPart{
|
|
inline float32x4_t operator()(float32x4_t a, float32x4_t b){
|
|
float32x4_t re = vtrn1q_f32(a, a);
|
|
return vmulq_f32(re, b);
|
|
}
|
|
inline float64x2_t operator()(float64x2_t a, float64x2_t b){
|
|
float64x2_t re = vzip1q_f64(a, a);
|
|
return vmulq_f64(re, b);
|
|
}
|
|
};
|
|
|
|
struct MaddRealPart{
|
|
inline float32x4_t operator()(float32x4_t a, float32x4_t b, float32x4_t c){
|
|
float32x4_t re = vtrn1q_f32(a, a);
|
|
return vfmaq_f32(c, re, b);
|
|
}
|
|
inline float64x2_t operator()(float64x2_t a, float64x2_t b, float64x2_t c){
|
|
float64x2_t re = vzip1q_f64(a, a);
|
|
return vfmaq_f64(c, re, b);
|
|
}
|
|
};
|
|
|
|
struct Div{
|
|
// Real float
|
|
inline float32x4_t operator()(float32x4_t a, float32x4_t b){
|
|
return vdivq_f32(a, b);
|
|
}
|
|
// Real double
|
|
inline float64x2_t operator()(float64x2_t a, float64x2_t b){
|
|
return vdivq_f64(a, b);
|
|
}
|
|
};
|
|
|
|
struct MultComplex{
|
|
// Complex float
|
|
inline float32x4_t operator()(float32x4_t a, float32x4_t b){
|
|
|
|
float32x4_t r0, r1, r2, r3, r4;
|
|
|
|
// a = ar ai Ar Ai
|
|
// b = br bi Br Bi
|
|
// collect real/imag part, negate bi and Bi
|
|
r0 = vtrn1q_f32(b, b); // br br Br Br
|
|
r1 = vnegq_f32(b); // -br -bi -Br -Bi
|
|
r2 = vtrn2q_f32(b, r1); // bi -bi Bi -Bi
|
|
|
|
// the fun part
|
|
r3 = vmulq_f32(r2, a); // bi*ar -bi*ai ...
|
|
r4 = vrev64q_f32(r3); // -bi*ai bi*ar ...
|
|
|
|
// fma(a,b,c) = a+b*c
|
|
return vfmaq_f32(r4, r0, a); // ar*br-ai*bi ai*br+ar*bi ...
|
|
|
|
// no fma, use mul and add
|
|
//float32x4_t r5;
|
|
//r5 = vmulq_f32(r0, a);
|
|
//return vaddq_f32(r4, r5);
|
|
}
|
|
// Complex double
|
|
inline float64x2_t operator()(float64x2_t a, float64x2_t b){
|
|
|
|
float64x2_t r0, r1, r2, r3, r4;
|
|
|
|
// b = br bi
|
|
// collect real/imag part, negate bi
|
|
r0 = vtrn1q_f64(b, b); // br br
|
|
r1 = vnegq_f64(b); // -br -bi
|
|
r2 = vtrn2q_f64(b, r1); // bi -bi
|
|
|
|
// the fun part
|
|
r3 = vmulq_f64(r2, a); // bi*ar -bi*ai
|
|
r4 = vextq_f64(r3,r3,1); // -bi*ai bi*ar
|
|
|
|
// fma(a,b,c) = a+b*c
|
|
return vfmaq_f64(r4, r0, a); // ar*br-ai*bi ai*br+ar*bi
|
|
|
|
// no fma, use mul and add
|
|
//float64x2_t r5;
|
|
//r5 = vmulq_f64(r0, a);
|
|
//return vaddq_f64(r4, r5);
|
|
}
|
|
};
|
|
|
|
struct Mult{
|
|
// Real float
|
|
inline float32x4_t mac(float32x4_t a, float32x4_t b, float32x4_t c){
|
|
//return vaddq_f32(vmulq_f32(b,c),a);
|
|
return vfmaq_f32(a, b, c);
|
|
}
|
|
inline float64x2_t mac(float64x2_t a, float64x2_t b, float64x2_t c){
|
|
//return vaddq_f64(vmulq_f64(b,c),a);
|
|
return vfmaq_f64(a, b, c);
|
|
}
|
|
inline float32x4_t operator()(float32x4_t a, float32x4_t b){
|
|
return vmulq_f32(a,b);
|
|
}
|
|
// Real double
|
|
inline float64x2_t operator()(float64x2_t a, float64x2_t b){
|
|
return vmulq_f64(a,b);
|
|
}
|
|
// Integer
|
|
inline uint32x4_t operator()(uint32x4_t a, uint32x4_t b){
|
|
return vmulq_u32(a,b);
|
|
}
|
|
};
|
|
|
|
struct Conj{
|
|
// Complex single
|
|
inline float32x4_t operator()(float32x4_t in){
|
|
// ar ai br bi -> ar -ai br -bi
|
|
float32x4_t r0, r1;
|
|
r0 = vnegq_f32(in); // -ar -ai -br -bi
|
|
r1 = vrev64q_f32(r0); // -ai -ar -bi -br
|
|
return vtrn1q_f32(in, r1); // ar -ai br -bi
|
|
}
|
|
// Complex double
|
|
inline float64x2_t operator()(float64x2_t in){
|
|
|
|
float64x2_t r0, r1;
|
|
r0 = vextq_f64(in, in, 1); // ai ar
|
|
r1 = vnegq_f64(r0); // -ai -ar
|
|
return vextq_f64(r0, r1, 1); // ar -ai
|
|
}
|
|
// do not define for integer input
|
|
};
|
|
|
|
struct TimesMinusI{
|
|
//Complex single
|
|
inline float32x4_t operator()(float32x4_t in, float32x4_t ret){
|
|
// ar ai br bi -> ai -ar ai -br
|
|
float32x4_t r0, r1;
|
|
r0 = vnegq_f32(in); // -ar -ai -br -bi
|
|
r1 = vrev64q_f32(in); // ai ar bi br
|
|
return vtrn1q_f32(r1, r0); // ar -ai br -bi
|
|
}
|
|
//Complex double
|
|
inline float64x2_t operator()(float64x2_t in, float64x2_t ret){
|
|
// a ib -> b -ia
|
|
float64x2_t tmp;
|
|
tmp = vnegq_f64(in);
|
|
return vextq_f64(in, tmp, 1);
|
|
}
|
|
};
|
|
|
|
struct TimesI{
|
|
//Complex single
|
|
inline float32x4_t operator()(float32x4_t in, float32x4_t ret){
|
|
// ar ai br bi -> -ai ar -bi br
|
|
float32x4_t r0, r1;
|
|
r0 = vnegq_f32(in); // -ar -ai -br -bi
|
|
r1 = vrev64q_f32(r0); // -ai -ar -bi -br
|
|
return vtrn1q_f32(r1, in); // -ai ar -bi br
|
|
}
|
|
//Complex double
|
|
inline float64x2_t operator()(float64x2_t in, float64x2_t ret){
|
|
// a ib -> -b ia
|
|
float64x2_t tmp;
|
|
tmp = vnegq_f64(in);
|
|
return vextq_f64(tmp, in, 1);
|
|
}
|
|
};
|
|
|
|
struct Permute{
|
|
|
|
static inline float32x4_t Permute0(float32x4_t in){ // N:ok
|
|
// AB CD -> CD AB
|
|
return vextq_f32(in, in, 2);
|
|
};
|
|
static inline float32x4_t Permute1(float32x4_t in){ // N:ok
|
|
// AB CD -> BA DC
|
|
return vrev64q_f32(in);
|
|
};
|
|
static inline float32x4_t Permute2(float32x4_t in){ // N:not used by Boyle
|
|
return in;
|
|
};
|
|
static inline float32x4_t Permute3(float32x4_t in){ // N:not used by Boyle
|
|
return in;
|
|
};
|
|
|
|
static inline float64x2_t Permute0(float64x2_t in){ // N:ok
|
|
// AB -> BA
|
|
return vextq_f64(in, in, 1);
|
|
};
|
|
static inline float64x2_t Permute1(float64x2_t in){ // N:not used by Boyle
|
|
return in;
|
|
};
|
|
static inline float64x2_t Permute2(float64x2_t in){ // N:not used by Boyle
|
|
return in;
|
|
};
|
|
static inline float64x2_t Permute3(float64x2_t in){ // N:not used by Boyle
|
|
return in;
|
|
};
|
|
|
|
};
|
|
|
|
struct Rotate{
|
|
|
|
static inline float32x4_t rotate(float32x4_t in,int n){ // N:ok
|
|
switch(n){
|
|
case 0: // AB CD -> AB CD
|
|
return tRotate<0>(in);
|
|
break;
|
|
case 1: // AB CD -> BC DA
|
|
return tRotate<1>(in);
|
|
break;
|
|
case 2: // AB CD -> CD AB
|
|
return tRotate<2>(in);
|
|
break;
|
|
case 3: // AB CD -> DA BC
|
|
return tRotate<3>(in);
|
|
break;
|
|
default: assert(0);
|
|
}
|
|
}
|
|
static inline float64x2_t rotate(float64x2_t in,int n){ // N:ok
|
|
switch(n){
|
|
case 0: // AB -> AB
|
|
return tRotate<0>(in);
|
|
break;
|
|
case 1: // AB -> BA
|
|
return tRotate<1>(in);
|
|
break;
|
|
default: assert(0);
|
|
}
|
|
}
|
|
|
|
// working, but no restriction on n
|
|
// template<int n> static inline float32x4_t tRotate(float32x4_t in){ return vextq_f32(in,in,n); };
|
|
// template<int n> static inline float64x2_t tRotate(float64x2_t in){ return vextq_f64(in,in,n); };
|
|
|
|
// restriction on n
|
|
template<int n> static inline float32x4_t tRotate(float32x4_t in){ return vextq_f32(in,in,n%4); };
|
|
template<int n> static inline float64x2_t tRotate(float64x2_t in){ return vextq_f64(in,in,n%2); };
|
|
|
|
};
|
|
|
|
struct PrecisionChange {
|
|
|
|
static inline float16x8_t StoH (const float32x4_t &a,const float32x4_t &b) {
|
|
float16x4_t h = vcvt_f16_f32(a);
|
|
return vcvt_high_f16_f32(h, b);
|
|
}
|
|
static inline void HtoS (float16x8_t h,float32x4_t &sa,float32x4_t &sb) {
|
|
sb = vcvt_high_f32_f16(h);
|
|
// there is no direct conversion from lower float32x4_t to float64x2_t
|
|
// vextq_f16 not supported by clang 3.8 / 4.0 / arm clang
|
|
//float16x8_t h1 = vextq_f16(h, h, 4); // correct, but not supported by clang
|
|
// workaround for clang
|
|
uint32x4_t h1u = reinterpret_cast<uint32x4_t>(h);
|
|
float16x8_t h1 = reinterpret_cast<float16x8_t>(vextq_u32(h1u, h1u, 2));
|
|
sa = vcvt_high_f32_f16(h1);
|
|
}
|
|
static inline float32x4_t DtoS (float64x2_t a,float64x2_t b) {
|
|
float32x2_t s = vcvt_f32_f64(a);
|
|
return vcvt_high_f32_f64(s, b);
|
|
|
|
}
|
|
static inline void StoD (float32x4_t s,float64x2_t &a,float64x2_t &b) {
|
|
b = vcvt_high_f64_f32(s);
|
|
// there is no direct conversion from lower float32x4_t to float64x2_t
|
|
float32x4_t s1 = vextq_f32(s, s, 2);
|
|
a = vcvt_high_f64_f32(s1);
|
|
|
|
}
|
|
static inline float16x8_t DtoH (float64x2_t a,float64x2_t b,float64x2_t c,float64x2_t d) {
|
|
float32x4_t s1 = DtoS(a, b);
|
|
float32x4_t s2 = DtoS(c, d);
|
|
return StoH(s1, s2);
|
|
}
|
|
static inline void HtoD (float16x8_t h,float64x2_t &a,float64x2_t &b,float64x2_t &c,float64x2_t &d) {
|
|
float32x4_t s1, s2;
|
|
HtoS(h, s1, s2);
|
|
StoD(s1, a, b);
|
|
StoD(s2, c, d);
|
|
}
|
|
};
|
|
|
|
//////////////////////////////////////////////
|
|
// Exchange support
|
|
|
|
struct Exchange{
|
|
static inline void Exchange0(float32x4_t &out1,float32x4_t &out2,float32x4_t in1,float32x4_t in2){
|
|
// in1: ABCD -> out1: ABEF
|
|
// in2: EFGH -> out2: CDGH
|
|
|
|
// z: CDAB
|
|
float32x4_t z = vextq_f32(in1, in1, 2);
|
|
// out1: ABEF
|
|
out1 = vextq_f32(z, in2, 2);
|
|
|
|
// z: GHEF
|
|
z = vextq_f32(in2, in2, 2);
|
|
// out2: CDGH
|
|
out2 = vextq_f32(in1, z, 2);
|
|
};
|
|
|
|
static inline void Exchange1(float32x4_t &out1,float32x4_t &out2,float32x4_t in1,float32x4_t in2){
|
|
// in1: ABCD -> out1: AECG
|
|
// in2: EFGH -> out2: BFDH
|
|
out1 = vtrn1q_f32(in1, in2);
|
|
out2 = vtrn2q_f32(in1, in2);
|
|
};
|
|
static inline void Exchange2(float32x4_t &out1,float32x4_t &out2,float32x4_t in1,float32x4_t in2){
|
|
assert(0);
|
|
return;
|
|
};
|
|
static inline void Exchange3(float32x4_t &out1,float32x4_t &out2,float32x4_t in1,float32x4_t in2){
|
|
assert(0);
|
|
return;
|
|
};
|
|
// double precision
|
|
static inline void Exchange0(float64x2_t &out1,float64x2_t &out2,float64x2_t in1,float64x2_t in2){
|
|
// in1: AB -> out1: AC
|
|
// in2: CD -> out2: BD
|
|
out1 = vzip1q_f64(in1, in2);
|
|
out2 = vzip2q_f64(in1, in2);
|
|
};
|
|
static inline void Exchange1(float64x2_t &out1,float64x2_t &out2,float64x2_t in1,float64x2_t in2){
|
|
assert(0);
|
|
return;
|
|
};
|
|
static inline void Exchange2(float64x2_t &out1,float64x2_t &out2,float64x2_t in1,float64x2_t in2){
|
|
assert(0);
|
|
return;
|
|
};
|
|
static inline void Exchange3(float64x2_t &out1,float64x2_t &out2,float64x2_t in1,float64x2_t in2){
|
|
assert(0);
|
|
return;
|
|
};
|
|
};
|
|
|
|
//////////////////////////////////////////////
|
|
// Some Template specialization
|
|
|
|
|
|
//Complex float Reduce
|
|
template<>
|
|
inline Grid::ComplexF Reduce<Grid::ComplexF, float32x4_t>::operator()(float32x4_t in){
|
|
float32x4_t v1; // two complex
|
|
v1 = Optimization::Permute::Permute0(in);
|
|
v1 = vaddq_f32(v1,in);
|
|
u128f conv; conv.v=v1;
|
|
return Grid::ComplexF(conv.f[0],conv.f[1]);
|
|
}
|
|
//Real float Reduce
|
|
template<>
|
|
inline Grid::RealF Reduce<Grid::RealF, float32x4_t>::operator()(float32x4_t in){
|
|
return vaddvq_f32(in);
|
|
}
|
|
|
|
|
|
//Complex double Reduce
|
|
template<> // N:by Boyle
|
|
inline Grid::ComplexD Reduce<Grid::ComplexD, float64x2_t>::operator()(float64x2_t in){
|
|
u128d conv; conv.v = in;
|
|
return Grid::ComplexD(conv.f[0],conv.f[1]);
|
|
}
|
|
|
|
//Real double Reduce
|
|
template<>
|
|
inline Grid::RealD Reduce<Grid::RealD, float64x2_t>::operator()(float64x2_t in){
|
|
return vaddvq_f64(in);
|
|
}
|
|
|
|
//Integer Reduce
|
|
template<>
|
|
inline Integer Reduce<Integer, uint32x4_t>::operator()(uint32x4_t in){
|
|
// FIXME unimplemented
|
|
printf("Reduce : Missing integer implementation -> FIX\n");
|
|
assert(0);
|
|
}
|
|
}
|
|
|
|
//////////////////////////////////////////////////////////////////////////////////////
|
|
// Here assign types
|
|
|
|
// typedef Optimization::vech SIMD_Htype; // Reduced precision type
|
|
typedef float16x8_t SIMD_Htype; // Half precision type
|
|
typedef float32x4_t SIMD_Ftype; // Single precision type
|
|
typedef float64x2_t SIMD_Dtype; // Double precision type
|
|
typedef uint32x4_t SIMD_Itype; // Integer type
|
|
|
|
inline void v_prefetch0(int size, const char *ptr){}; // prefetch utilities
|
|
inline void prefetch_HINT_T0(const char *ptr){};
|
|
|
|
|
|
// Function name aliases
|
|
typedef Optimization::Vsplat VsplatSIMD;
|
|
typedef Optimization::Vstore VstoreSIMD;
|
|
typedef Optimization::Vset VsetSIMD;
|
|
typedef Optimization::Vstream VstreamSIMD;
|
|
template <typename S, typename T> using ReduceSIMD = Optimization::Reduce<S,T>;
|
|
|
|
|
|
|
|
|
|
// Arithmetic operations
|
|
typedef Optimization::Sum SumSIMD;
|
|
typedef Optimization::Sub SubSIMD;
|
|
typedef Optimization::Div DivSIMD;
|
|
typedef Optimization::Mult MultSIMD;
|
|
typedef Optimization::MultComplex MultComplexSIMD;
|
|
typedef Optimization::MultRealPart MultRealPartSIMD;
|
|
typedef Optimization::MaddRealPart MaddRealPartSIMD;
|
|
typedef Optimization::Conj ConjSIMD;
|
|
typedef Optimization::TimesMinusI TimesMinusISIMD;
|
|
typedef Optimization::TimesI TimesISIMD;
|
|
|
|
} |