//----------------------------------------------------------------------
/*! @file Grid_knc.h
@brief Optimization libraries for AVX512 instructions set for KNC
Using intrinsics
*/
// Time-stamp: <2015-06-09 14:27:28 neo>
//----------------------------------------------------------------------
#include <immintrin.h>
#ifndef KNC_ONLY_STORES
#define _mm512_storenrngo_ps _mm512_store_ps // not present in AVX512
#define _mm512_storenrngo_pd _mm512_store_pd // not present in AVX512
#endif
namespace Optimization {
struct Vsplat{
//Complex float
inline __m512 operator()(float a, float b){
return _mm512_set_ps(b,a,b,a,b,a,b,a,b,a,b,a,b,a,b,a);
}
// Real float
inline __m512 operator()(float a){
return _mm512_set1_ps(a);
}
//Complex double
inline __m512d operator()(double a, double b){
return _mm512_set_pd(b,a,b,a,b,a,b,a);
}
//Real double
inline __m512d operator()(double a){
return _mm512_set1_pd(a);
}
//Integer
inline __m512i operator()(Integer a){
return _mm512_set1_epi32(a);
}
};
struct Vstore{
//Float
inline void operator()(__m512 a, float* F){
_mm512_store_ps(F,a);
}
//Double
inline void operator()(__m512d a, double* D){
_mm512_store_pd(D,a);
}
//Integer
inline void operator()(__m512i a, Integer* I){
_mm512_store_si512((__m512i *)I,a);
}
};
struct Vstream{
//Float
inline void operator()(float * a, __m512 b){
_mm512_storenrngo_ps(a,b);
}
//Double
inline void operator()(double * a, __m512d b){
_mm512_storenrngo_pd(a,b);
}
};
struct Vset{
// Complex float
inline __m512 operator()(Grid::ComplexF *a){
return _mm512_set_ps(a[7].imag(),a[7].real(),a[6].imag(),a[6].real(),
a[5].imag(),a[5].real(),a[4].imag(),a[4].real(),
a[3].imag(),a[3].real(),a[2].imag(),a[2].real(),
a[1].imag(),a[1].real(),a[0].imag(),a[0].real());
}
// Complex double
inline __m512d operator()(Grid::ComplexD *a){
return _mm512_set_pd(a[3].imag(),a[3].real(),a[2].imag(),a[2].real(),
a[1].imag(),a[1].real(),a[0].imag(),a[0].real());
}
// Real float
inline __m512 operator()(float *a){
return _mm512_set_ps( a[15],a[14],a[13],a[12],a[11],a[10],a[9],a[8],
a[7],a[6],a[5],a[4],a[3],a[2],a[1],a[0]);
}
// Real double
inline __m512d operator()(double *a){
return _mm512_set_pd(a[7],a[6],a[5],a[4],a[3],a[2],a[1],a[0]);
}
// Integer
inline __m512i operator()(Integer *a){
return _mm512_set_epi32( a[15],a[14],a[13],a[12],a[11],a[10],a[9],a[8],
a[7],a[6],a[5],a[4],a[3],a[2],a[1],a[0]);
}
};
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 __m512 operator()(__m512 a, __m512 b){
return _mm512_add_ps(a,b);
}
//Complex/Real double
inline __m512d operator()(__m512d a, __m512d b){
return _mm512_add_pd(a,b);
}
//Integer
inline __m512i operator()(__m512i a, __m512i b){
return _mm512_add_epi32(a,b);
}
};
struct Sub{
//Complex/Real float
inline __m512 operator()(__m512 a, __m512 b){
return _mm512_sub_ps(a,b);
}
//Complex/Real double
inline __m512d operator()(__m512d a, __m512d b){
return _mm512_sub_pd(a,b);
}
//Integer
inline __m512i operator()(__m512i a, __m512i b){
return _mm512_sub_epi32(a,b);
}
};
// Note, we can beat the shuf overhead in chain with two temporaries
// Ar Ai , Br Bi, Ai Ar // one shuf
//tmpr Ar Br, Ai Bi // Mul/Mac/Mac
//tmpi Br Ai, Bi Ar // Mul/Mac/Mac
// add tmpi,shuf(tmpi)
// sub tmpr,shuf(tmpi)
// shuf(tmpr,tmpi). // Could drop/trade for write mask
// Gives
// 2mul,4 mac +add+sub = 8 flop type insns
// 3shuf + 2 (+shuf) = 5/6 simd perm and 1/2 the load.
struct MultComplex{
// Complex float
inline __m512 operator()(__m512 a, __m512 b){
// dup, dup, perm, mul, madd
__m512 a_real = _mm512_moveldup_ps( a ); // Ar Ar
__m512 a_imag = _mm512_movehdup_ps( a ); // Ai Ai
a_imag = _mm512_mul_ps( a_imag, _mm512_permute_ps( b, 0xB1 ) ); // (Ai, Ai) * (Bi, Br) = Ai Bi, Ai Br
return _mm512_fmaddsub_ps( a_real, b, a_imag ); // Ar Br , Ar Bi +- Ai Bi = ArBr-AiBi , ArBi+AiBr
}
// Complex double
inline __m512d operator()(__m512d a, __m512d b){
__m512d a_real = _mm512_shuffle_pd( a, a, 0x00 );
__m512d a_imag = _mm512_shuffle_pd( a, a, 0xFF );
a_imag = _mm512_mul_pd( a_imag, _mm512_permute_pd( b, 0x55 ) );
return _mm512_fmaddsub_pd( a_real, b, a_imag );
}
};
struct Mult{
inline void mac(__m512 &a, __m512 b, __m512 c){
a= _mm512_fmadd_ps( b, c, a);
}
inline void mac(__m512d &a, __m512d b, __m512d c){
a= _mm512_fmadd_pd( b, c, a);
}
// Real float
inline __m512 operator()(__m512 a, __m512 b){
return _mm512_mul_ps(a,b);
}
// Real double
inline __m512d operator()(__m512d a, __m512d b){
return _mm512_mul_pd(a,b);
}
// Integer
inline __m512i operator()(__m512i a, __m512i b){
return _mm512_mullo_epi32(a,b);
}
};
struct Conj{
// Complex single
inline __m512 operator()(__m512 in){
return _mm512_mask_sub_ps(in,0xaaaa,_mm512_setzero_ps(),in); // Zero out 0+real 0-imag
}
// Complex double
inline __m512d operator()(__m512d in){
return _mm512_mask_sub_pd(in, 0xaa,_mm512_setzero_pd(), in);
}
// do not define for integer input
};
struct TimesMinusI{
//Complex single
inline __m512 operator()(__m512 in, __m512 ret){
__m512 tmp = _mm512_mask_sub_ps(in,0xaaaa,_mm512_setzero_ps(),in); // real -imag
return _mm512_shuffle_ps(tmp,tmp,_MM_SELECT_FOUR_FOUR(1,0,3,2)); // 0x4E??
}
//Complex double
inline __m512d operator()(__m512d in, __m512d ret){
__m512d tmp = _mm512_mask_sub_pd(in,0xaa,_mm512_setzero_pd(),in); // real -imag
return _mm512_shuffle_pd(tmp,tmp,0x55);
}
};
struct TimesI{
//Complex single
inline __m512 operator()(__m512 in, __m512 ret){
__m512 tmp = _mm512_shuffle_ps(tmp,tmp,_MM_SELECT_FOUR_FOUR(1,0,3,2));
return _mm512_mask_sub_ps(tmp,0xaaaa,_mm512_setzero_ps(),tmp);
}
//Complex double
inline __m512d operator()(__m512d in, __m512d ret){
__m512d tmp = _mm512_shuffle_pd(tmp,tmp,0x55);
return _mm512_mask_sub_pd(tmp,0xaa,_mm512_setzero_pd(),tmp);
}
};
// Gpermute utilities consider coalescing into 1 Gpermute
struct Permute{
static inline __m512 Permute0(__m512 in){
return _mm512_shuffle_f32x4(in,in,_MM_SELECT_FOUR_FOUR(1,0,3,2));
};
static inline __m512 Permute1(__m512 in){
return _mm512_shuffle_f32x4(in,in,_MM_SELECT_FOUR_FOUR(2,3,0,1));
};
static inline __m512 Permute2(__m512 in){
return _mm512_shuffle_ps(in,in,_MM_SELECT_FOUR_FOUR(1,0,3,2));
};
static inline __m512 Permute3(__m512 in){
return _mm512_shuffle_ps(in,in,_MM_SELECT_FOUR_FOUR(2,3,0,1));
};
static inline __m512d Permute0(__m512d in){
return _mm512_shuffle_f64x2(in,in,_MM_SELECT_FOUR_FOUR(1,0,3,2));
};
static inline __m512d Permute1(__m512d in){
return _mm512_shuffle_f64x2(in,in,_MM_SELECT_FOUR_FOUR(2,3,0,1));
};
static inline __m512d Permute2(__m512d in){
return _mm512_shuffle_pd(in,in,0x55);
};
static inline __m512d Permute3(__m512d in){
return in;
};
};
//////////////////////////////////////////////
// Some Template specialization
//Complex float Reduce
template<>
inline Grid::ComplexF Reduce<Grid::ComplexF, __m512>::operator()(__m512 in){
return Grid::ComplexF(_mm512_mask_reduce_add_ps(0x5555, in),_mm512_mask_reduce_add_ps(0xAAAA, in));
}
//Real float Reduce
template<>
inline Grid::RealF Reduce<Grid::RealF, __m512>::operator()(__m512 in){
return _mm512_reduce_add_ps(in);
}
//Complex double Reduce
template<>
inline Grid::ComplexD Reduce<Grid::ComplexD, __m512d>::operator()(__m512d in){
return Grid::ComplexD(_mm512_mask_reduce_add_pd(0x55, in),_mm512_mask_reduce_add_pd(0xAA, in));
}
//Real double Reduce
template<>
inline Grid::RealD Reduce<Grid::RealD, __m512d>::operator()(__m512d in){
return _mm512_reduce_add_pd(in);
}
//Integer Reduce
template<>
inline Integer Reduce<Integer, __m512i>::operator()(__m512i in){
// FIXME unimplemented
printf("Reduce : Missing integer implementation -> FIX\n");
assert(0);
}
}
//////////////////////////////////////////////////////////////////////////////////////
// Here assign types
namespace Grid {
typedef __m512 SIMD_Ftype; // Single precision type
typedef __m512d SIMD_Dtype; // Double precision type
typedef __m512i SIMD_Itype; // Integer type
// prefecth
inline void v_prefetch0(int size, const char *ptr){
for(int i=0;i<size;i+=64){ // Define L1 linesize above
_mm_prefetch(ptr+i+4096,_MM_HINT_T1);
_mm_prefetch(ptr+i+512,_MM_HINT_T0);
}
}
inline void prefetch_HINT_T0(const char *ptr){
_mm_prefetch(ptr,_MM_HINT_T0);
}
// 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::Mult MultSIMD;
typedef Optimization::MultComplex MultComplexSIMD;
typedef Optimization::Conj ConjSIMD;
typedef Optimization::TimesMinusI TimesMinusISIMD;
typedef Optimization::TimesI TimesISIMD;
}