mirror of
https://github.com/paboyle/Grid.git
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405 lines
12 KiB
C++
405 lines
12 KiB
C++
//----------------------------------------------------------------------
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/*! @file Grid_avx.h
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@brief Optimization libraries for AVX1/2 instructions set
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Using intrinsics
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*/
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// Time-stamp: <2015-05-22 18:58:27 neo>
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//----------------------------------------------------------------------
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#include <immintrin.h>
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// _mm256_set_m128i(hi,lo); // not defined in all versions of immintrin.h
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#ifndef _mm256_set_m128i
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#define _mm256_set_m128i(hi,lo) _mm256_insertf128_si256(_mm256_castsi128_si256(lo),(hi),1)
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#endif
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namespace Optimization {
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struct Vsplat{
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//Complex float
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inline __m256 operator()(float a, float b){
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return _mm256_set_ps(b,a,b,a,b,a,b,a);
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}
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// Real float
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inline __m256 operator()(float a){
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return _mm256_set_ps(a,a,a,a,a,a,a,a);
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}
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//Complex double
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inline __m256d operator()(double a, double b){
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return _mm256_set_pd(b,a,b,a);
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}
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//Real double
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inline __m256d operator()(double a){
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return _mm256_set_pd(a,a,a,a);
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}
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//Integer
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inline __m256i operator()(Integer a){
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return _mm256_set1_epi32(a);
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}
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};
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struct Vstore{
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//Float
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inline void operator()(__m256 a, float* F){
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_mm256_store_ps(F,a);
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}
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//Double
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inline void operator()(__m256d a, double* D){
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_mm256_store_pd(D,a);
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}
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//Integer
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inline void operator()(__m256i a, Integer* I){
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_mm256_store_si256((__m256i*)I,a);
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}
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};
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struct Vstream{
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//Float
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inline void operator()(float * a, __m256 b){
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_mm256_stream_ps(a,b);
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}
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//Double
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inline void operator()(double * a, __m256d b){
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_mm256_stream_pd(a,b);
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}
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};
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struct Vset{
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// Complex float
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inline __m256 operator()(Grid::ComplexF *a){
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return _mm256_set_ps(a[3].imag(),a[3].real(),a[2].imag(),a[2].real(),a[1].imag(),a[1].real(),a[0].imag(),a[0].real());
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}
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// Complex double
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inline __m256d operator()(Grid::ComplexD *a){
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return _mm256_set_pd(a[1].imag(),a[1].real(),a[0].imag(),a[0].real());
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}
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// Real float
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inline __m256 operator()(float *a){
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return _mm256_set_ps(a[7],a[6],a[5],a[4],a[3],a[2],a[1],a[0]);
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}
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// Real double
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inline __m256d operator()(double *a){
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return _mm256_set_pd(a[3],a[2],a[1],a[0]);
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}
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// Integer
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inline __m256i operator()(Integer *a){
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return _mm256_set_epi32(a[7],a[6],a[5],a[4],a[3],a[2],a[1],a[0]);
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}
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};
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template <typename Out_type, typename In_type>
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struct Reduce{
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//Need templated class to overload output type
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//General form must generate error if compiled
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inline Out_type operator()(In_type in){
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printf("Error, using wrong Reduce function\n");
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exit(1);
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return 0;
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}
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};
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/////////////////////////////////////////////////////
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// Arithmetic operations
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/////////////////////////////////////////////////////
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struct Sum{
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//Complex/Real float
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inline __m256 operator()(__m256 a, __m256 b){
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return _mm256_add_ps(a,b);
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}
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//Complex/Real double
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inline __m256d operator()(__m256d a, __m256d b){
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return _mm256_add_pd(a,b);
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}
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//Integer
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inline __m256i operator()(__m256i a, __m256i b){
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#if defined (AVX1)
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__m128i a0,a1;
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__m128i b0,b1;
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a0 = _mm256_extractf128_si256(a,0);
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b0 = _mm256_extractf128_si256(b,0);
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a1 = _mm256_extractf128_si256(a,1);
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b1 = _mm256_extractf128_si256(b,1);
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a0 = _mm_add_epi32(a0,b0);
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a1 = _mm_add_epi32(a1,b1);
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return _mm256_set_m128i(a1,a0);
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#endif
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#if defined (AVX2)
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return _mm256_add_epi32(a,b);
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#endif
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}
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};
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struct Sub{
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//Complex/Real float
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inline __m256 operator()(__m256 a, __m256 b){
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return _mm256_sub_ps(a,b);
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}
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//Complex/Real double
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inline __m256d operator()(__m256d a, __m256d b){
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return _mm256_sub_pd(a,b);
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}
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//Integer
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inline __m256i operator()(__m256i a, __m256i b){
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#if defined (AVX1)
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__m128i a0,a1;
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__m128i b0,b1;
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a0 = _mm256_extractf128_si256(a,0);
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b0 = _mm256_extractf128_si256(b,0);
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a1 = _mm256_extractf128_si256(a,1);
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b1 = _mm256_extractf128_si256(b,1);
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a0 = _mm_sub_epi32(a0,b0);
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a1 = _mm_sub_epi32(a1,b1);
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return _mm256_set_m128i(a1,a0);
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#endif
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#if defined (AVX2)
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return _mm256_sub_epi32(a,b);
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#endif
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}
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};
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struct MultComplex{
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// Complex float
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inline __m256 operator()(__m256 a, __m256 b){
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__m256 ymm0,ymm1,ymm2;
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ymm0 = _mm256_shuffle_ps(a,a,_MM_SHUFFLE(2,2,0,0)); // ymm0 <- ar ar,
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ymm0 = _mm256_mul_ps(ymm0,b); // ymm0 <- ar bi, ar br
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// FIXME AVX2 could MAC
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ymm1 = _mm256_shuffle_ps(b,b,_MM_SHUFFLE(2,3,0,1)); // ymm1 <- br,bi
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ymm2 = _mm256_shuffle_ps(a,a,_MM_SHUFFLE(3,3,1,1)); // ymm2 <- ai,ai
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ymm1 = _mm256_mul_ps(ymm1,ymm2); // ymm1 <- br ai, ai bi
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return _mm256_addsub_ps(ymm0,ymm1);
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}
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// Complex double
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inline __m256d operator()(__m256d a, __m256d b){
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//Multiplication of (ak+ibk)*(ck+idk)
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// a + i b can be stored as a data structure
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//From intel optimisation reference guide
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/*
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movsldup xmm0, Src1; load real parts into the destination,
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; a1, a1, a0, a0
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movaps xmm1, src2; load the 2nd pair of complex values, ; i.e. d1, c1, d0, c0
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mulps xmm0, xmm1; temporary results, a1d1, a1c1, a0d0, ; a0c0
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shufps xmm1, xmm1, b1; reorder the real and imaginary ; parts, c1, d1, c0, d0
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movshdup xmm2, Src1; load the imaginary parts into the ; destination, b1, b1, b0, b0
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mulps xmm2, xmm1; temporary results, b1c1, b1d1, b0c0, ; b0d0
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addsubps xmm0, xmm2; b1c1+a1d1, a1c1 -b1d1, b0c0+a0d
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VSHUFPD (VEX.256 encoded version)
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IF IMM0[0] = 0
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THEN DEST[63:0]=SRC1[63:0] ELSE DEST[63:0]=SRC1[127:64] FI;
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IF IMM0[1] = 0
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THEN DEST[127:64]=SRC2[63:0] ELSE DEST[127:64]=SRC2[127:64] FI;
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IF IMM0[2] = 0
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THEN DEST[191:128]=SRC1[191:128] ELSE DEST[191:128]=SRC1[255:192] FI;
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IF IMM0[3] = 0
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THEN DEST[255:192]=SRC2[191:128] ELSE DEST[255:192]=SRC2[255:192] FI; // Ox5 r<->i ; 0xC unchanged
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*/
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__m256d ymm0,ymm1,ymm2;
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ymm0 = _mm256_shuffle_pd(a,a,0x0); // ymm0 <- ar ar, ar,ar b'00,00
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ymm0 = _mm256_mul_pd(ymm0,b); // ymm0 <- ar bi, ar br
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ymm1 = _mm256_shuffle_pd(b,b,0x5); // ymm1 <- br,bi b'01,01
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ymm2 = _mm256_shuffle_pd(a,a,0xF); // ymm2 <- ai,ai b'11,11
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ymm1 = _mm256_mul_pd(ymm1,ymm2); // ymm1 <- br ai, ai bi
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return _mm256_addsub_pd(ymm0,ymm1);
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}
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};
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struct Mult{
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// Real float
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inline __m256 operator()(__m256 a, __m256 b){
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return _mm256_mul_ps(a,b);
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}
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// Real double
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inline __m256d operator()(__m256d a, __m256d b){
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return _mm256_mul_pd(a,b);
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}
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// Integer
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inline __m256i operator()(__m256i a, __m256i b){
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#if defined (AVX1)
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__m128i a0,a1;
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__m128i b0,b1;
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a0 = _mm256_extractf128_si256(a,0);
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b0 = _mm256_extractf128_si256(b,0);
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a1 = _mm256_extractf128_si256(a,1);
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b1 = _mm256_extractf128_si256(b,1);
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a0 = _mm_mul_epi32(a0,b0);
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a1 = _mm_mul_epi32(a1,b1);
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return _mm256_set_m128i(a1,a0);
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#endif
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#if defined (AVX2)
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return _mm256_mul_epi32(a,b);
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#endif
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}
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};
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struct Conj{
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// Complex single
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inline __m256 operator()(__m256 in){
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return _mm256_xor_ps(_mm256_addsub_ps(_mm256_setzero_ps(),in), _mm256_set1_ps(-0.f));
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}
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// Complex double
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inline __m256d operator()(__m256d in){
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return _mm256_xor_pd(_mm256_addsub_pd(_mm256_setzero_pd(),in), _mm256_set1_pd(-0.f));//untested
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/*
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// original
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// addsubps 0, inv=>0+in.v[3] 0-in.v[2], 0+in.v[1], 0-in.v[0], ...
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__m256d tmp = _mm256_addsub_pd(_mm256_setzero_pd(),_mm256_shuffle_pd(in,in,0x5));
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return _mm256_shuffle_pd(tmp,tmp,0x5);
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*/
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}
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// do not define for integer input
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};
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struct TimesMinusI{
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//Complex single
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inline __m256 operator()(__m256 in, __m256 ret){
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__m256 tmp =_mm256_addsub_ps(_mm256_setzero_ps(),in); // r,-i
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return _mm256_shuffle_ps(tmp,tmp,_MM_SHUFFLE(2,3,0,1)); //-i,r
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}
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//Complex double
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inline __m256d operator()(__m256d in, __m256d ret){
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__m256d tmp = _mm256_addsub_pd(_mm256_setzero_pd(),in); // r,-i
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return _mm256_shuffle_pd(tmp,tmp,0x5);
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}
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};
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struct TimesI{
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//Complex single
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inline __m256 operator()(__m256 in, __m256 ret){
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__m256 tmp =_mm256_shuffle_ps(in,in,_MM_SHUFFLE(2,3,0,1)); // i,r
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return _mm256_addsub_ps(_mm256_setzero_ps(),tmp); // i,-r
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}
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//Complex double
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inline __m256d operator()(__m256d in, __m256d ret){
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__m256d tmp = _mm256_shuffle_pd(in,in,0x5);
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return _mm256_addsub_pd(_mm256_setzero_pd(),tmp); // i,-r
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}
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};
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//////////////////////////////////////////////
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// Some Template specialization
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template < typename vtype >
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void permute(vtype &a, vtype &b, int perm) {
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union {
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__m256 f;
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vtype v;
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} conv;
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conv.v = b;
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switch (perm){
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// 8x32 bits=>3 permutes
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case 2: conv.f = _mm256_shuffle_ps(conv.f,conv.f,_MM_SHUFFLE(2,3,0,1)); break;
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case 1: conv.f = _mm256_shuffle_ps(conv.f,conv.f,_MM_SHUFFLE(1,0,3,2)); break;
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case 0: conv.f = _mm256_permute2f128_ps(conv.f,conv.f,0x01); break;
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default: assert(0); break;
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}
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a = conv.v;
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}
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//Complex float Reduce
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template<>
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inline Grid::ComplexF Reduce<Grid::ComplexF, __m256>::operator()(__m256 in){
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__m256 v1,v2;
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union {
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__m256 v;
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float f[8];
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} conv;
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Optimization::permute(v1,in,0); // sse 128; paired complex single
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v1 = _mm256_add_ps(v1,in);
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Optimization::permute(v2,v1,1); // avx 256; quad complex single
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v1 = _mm256_add_ps(v1,v2);
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conv.v = v1;
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return Grid::ComplexF(conv.f[0],conv.f[1]);
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}
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//Real float Reduce
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template<>
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inline Grid::RealF Reduce<Grid::RealF, __m256>::operator()(__m256 in){
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__m256 v1,v2;
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Optimization::permute(v1,in,0); // avx 256; octo-double
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v1 = _mm256_add_ps(v1,in);
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Optimization::permute(v2,v1,1);
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v1 = _mm256_add_ps(v1,v2);
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Optimization::permute(v2,v1,2);
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v1 = _mm256_add_ps(v1,v2);
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return v1[0];
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}
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//Complex double Reduce
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template<>
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inline Grid::ComplexD Reduce<Grid::ComplexD, __m256d>::operator()(__m256d in){
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__m256d v1;
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Optimization::permute(v1,in,0); // sse 128; paired complex single
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v1 = _mm256_add_pd(v1,in);
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return Grid::ComplexD(v1[0],v1[1]);
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}
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//Real double Reduce
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template<>
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inline Grid::RealD Reduce<Grid::RealD, __m256d>::operator()(__m256d in){
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__m256d v1,v2;
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Optimization::permute(v1,in,0); // avx 256; quad double
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v1 = _mm256_add_pd(v1,in);
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Optimization::permute(v2,v1,1);
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v1 = _mm256_add_pd(v1,v2);
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return v1[0];
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}
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//Integer Reduce
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template<>
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inline Integer Reduce<Integer, __m256i>::operator()(__m256i in){
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// FIXME unimplemented
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printf("Reduce : Missing integer implementation -> FIX\n");
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assert(0);
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}
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}
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//////////////////////////////////////////////////////////////////////////////////////
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// Here assign types
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namespace Grid {
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typedef __m256 SIMD_Ftype; // Single precision type
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typedef __m256d SIMD_Dtype; // Double precision type
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typedef __m256i SIMD_Itype; // Integer type
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// Function name aliases
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typedef Optimization::Vsplat VsplatSIMD;
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typedef Optimization::Vstore VstoreSIMD;
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typedef Optimization::Vset VsetSIMD;
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typedef Optimization::Vstream VstreamSIMD;
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template <typename S, typename T> using ReduceSIMD = Optimization::Reduce<S,T>;
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// Arithmetic operations
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typedef Optimization::Sum SumSIMD;
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typedef Optimization::Sub SubSIMD;
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typedef Optimization::Mult MultSIMD;
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typedef Optimization::MultComplex MultComplexSIMD;
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typedef Optimization::Conj ConjSIMD;
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typedef Optimization::TimesMinusI TimesMinusISIMD;
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typedef Optimization::TimesI TimesISIMD;
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}
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