/************************************************************************************* Grid physics library, www.github.com/paboyle/Grid Source file: ./lib/Simd.h Copyright (C) 2015 Author: Peter Boyle Author: neo Author: paboyle 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 */ #ifndef GRID_SIMD_H #define GRID_SIMD_H #ifdef GRID_NVCC #include #endif //////////////////////////////////////////////////////////////////////// // Define scalar and vector floating point types // // Scalar: RealF, RealD, ComplexF, ComplexD // // Vector: vRealF, vRealD, vComplexF, vComplexD // // Vector types are arch dependent //////////////////////////////////////////////////////////////////////// #define _MM_SELECT_FOUR_FOUR(A,B,C,D) ((A<<6)|(B<<4)|(C<<2)|(D)) #define _MM_SELECT_FOUR_FOUR_STRING(A,B,C,D) "((" #A "<<6)|(" #B "<<4)|(" #C "<<2)|(" #D "))" #define _MM_SELECT_EIGHT_TWO(A,B,C,D,E,F,G,H) ((A<<7)|(B<<6)|(C<<5)|(D<<4)|(E<<3)|(F<<2)|(G<<4)|(H)) #define _MM_SELECT_FOUR_TWO (A,B,C,D) _MM_SELECT_EIGHT_TWO(0,0,0,0,A,B,C,D) #define _MM_SELECT_TWO_TWO (A,B) _MM_SELECT_FOUR_TWO(0,0,A,B) #define RotateBit (0x100) NAMESPACE_BEGIN(Grid); typedef uint32_t Integer; typedef float RealF; typedef double RealD; #ifdef GRID_DEFAULT_PRECISION_DOUBLE typedef RealD Real; #else typedef RealF Real; #endif #ifdef GRID_NVCC typedef thrust::complex ComplexF; typedef thrust::complex ComplexD; typedef thrust::complex Complex; template using complex = thrust::complex; accelerator_inline ComplexD pow(const ComplexD& r,RealD y){ return(thrust::pow(r,y)); } accelerator_inline ComplexF pow(const ComplexF& r,RealF y){ return(thrust::pow(r,y)); } #else typedef std::complex ComplexF; typedef std::complex ComplexD; typedef std::complex Complex; template using complex = std::complex; accelerator_inline ComplexD pow(const ComplexD& r,RealD y){ return(std::pow(r,y)); } accelerator_inline ComplexF pow(const ComplexF& r,RealF y){ return(std::pow(r,y)); } #endif //accelerator_inline RealD pow(const RealD& r,RealD y){ return(std::pow(r,y)); } //accelerator_inline RealD sqrt(const RealD & r){ return std::sqrt(r); } // This comes from ::pow already from math.h and CUDA // Calls either Grid::pow for complex, or std::pow for real // Problem is CUDA math_functions is exposing ::pow, and I can't define using std::abs; using std::pow; using std::sqrt; accelerator_inline RealF conjugate(const RealF & r){ return r; } accelerator_inline RealD conjugate(const RealD & r){ return r; } accelerator_inline ComplexD conjugate(const ComplexD& r){ return(conj(r)); } accelerator_inline ComplexF conjugate(const ComplexF& r ){ return(conj(r)); } accelerator_inline RealF adj(const RealF & r){ return r; } accelerator_inline RealD adj(const RealD & r){ return r; } accelerator_inline ComplexD adj(const ComplexD& r){ return(conjugate(r)); } accelerator_inline ComplexF adj(const ComplexF& r ){ return(conjugate(r)); } accelerator_inline RealF real(const RealF & r){ return r; } accelerator_inline RealD real(const RealD & r){ return r; } accelerator_inline RealF real(const ComplexF & r){ return r.real(); } accelerator_inline RealD real(const ComplexD & r){ return r.real(); } accelerator_inline RealF imag(const ComplexF & r){ return r.imag(); } accelerator_inline RealD imag(const ComplexD & r){ return r.imag(); } accelerator_inline ComplexD innerProduct(const ComplexD & l, const ComplexD & r) { return conjugate(l)*r; } accelerator_inline ComplexF innerProduct(const ComplexF & l, const ComplexF & r) { return conjugate(l)*r; } accelerator_inline RealD innerProduct(const RealD & l, const RealD & r) { return l*r; } accelerator_inline RealF innerProduct(const RealF & l, const RealF & r) { return l*r; } accelerator_inline ComplexD Reduce(const ComplexD& r){ return r; } accelerator_inline ComplexF Reduce(const ComplexF& r){ return r; } accelerator_inline RealD Reduce(const RealD& r){ return r; } accelerator_inline RealF Reduce(const RealF& r){ return r; } accelerator_inline RealD toReal(const ComplexD& r){ return r.real(); } accelerator_inline RealF toReal(const ComplexF& r){ return r.real(); } accelerator_inline RealD toReal(const RealD& r){ return r; } accelerator_inline RealF toReal(const RealF& r){ return r; } //////////////////////////////////////////////////////////////////////////////// //Provide support functions for basic real and complex data types required by Grid //Single and double precision versions. Should be able to template this once only. //////////////////////////////////////////////////////////////////////////////// accelerator_inline void mac (ComplexD * __restrict__ y,const ComplexD * __restrict__ a,const ComplexD *__restrict__ x){ *y = (*a) * (*x)+(*y); }; accelerator_inline void mult(ComplexD * __restrict__ y,const ComplexD * __restrict__ l,const ComplexD *__restrict__ r){ *y = (*l) * (*r);} accelerator_inline void sub (ComplexD * __restrict__ y,const ComplexD * __restrict__ l,const ComplexD *__restrict__ r){ *y = (*l) - (*r);} accelerator_inline void add (ComplexD * __restrict__ y,const ComplexD * __restrict__ l,const ComplexD *__restrict__ r){ *y = (*l) + (*r);} // conjugate already supported for complex accelerator_inline void mac (ComplexF * __restrict__ y,const ComplexF * __restrict__ a,const ComplexF *__restrict__ x){ *y = (*a) * (*x)+(*y); } accelerator_inline void mult(ComplexF * __restrict__ y,const ComplexF * __restrict__ l,const ComplexF *__restrict__ r){ *y = (*l) * (*r); } accelerator_inline void sub (ComplexF * __restrict__ y,const ComplexF * __restrict__ l,const ComplexF *__restrict__ r){ *y = (*l) - (*r); } accelerator_inline void add (ComplexF * __restrict__ y,const ComplexF * __restrict__ l,const ComplexF *__restrict__ r){ *y = (*l) + (*r); } //conjugate already supported for complex accelerator_inline ComplexF timesI(const ComplexF &r) { return(r*ComplexF(0.0,1.0));} accelerator_inline ComplexD timesI(const ComplexD &r) { return(r*ComplexD(0.0,1.0));} accelerator_inline ComplexF timesMinusI(const ComplexF &r){ return(r*ComplexF(0.0,-1.0));} accelerator_inline ComplexD timesMinusI(const ComplexD &r){ return(r*ComplexD(0.0,-1.0));} // define projections to real and imaginay parts accelerator_inline ComplexF projReal(const ComplexF &r){return( ComplexF(r.real(), 0.0));} accelerator_inline ComplexD projReal(const ComplexD &r){return( ComplexD(r.real(), 0.0));} accelerator_inline ComplexF projImag(const ComplexF &r){return (ComplexF(r.imag(), 0.0 ));} accelerator_inline ComplexD projImag(const ComplexD &r){return (ComplexD(r.imag(), 0.0));} // define auxiliary functions for complex computations accelerator_inline void timesI(ComplexF &ret,const ComplexF &r) { ret = timesI(r);} accelerator_inline void timesI(ComplexD &ret,const ComplexD &r) { ret = timesI(r);} accelerator_inline void timesMinusI(ComplexF &ret,const ComplexF &r){ ret = timesMinusI(r);} accelerator_inline void timesMinusI(ComplexD &ret,const ComplexD &r){ ret = timesMinusI(r);} accelerator_inline void mac (RealD * __restrict__ y,const RealD * __restrict__ a,const RealD *__restrict__ x){ *y = (*a) * (*x)+(*y);} accelerator_inline void mult(RealD * __restrict__ y,const RealD * __restrict__ l,const RealD *__restrict__ r){ *y = (*l) * (*r);} accelerator_inline void sub (RealD * __restrict__ y,const RealD * __restrict__ l,const RealD *__restrict__ r){ *y = (*l) - (*r);} accelerator_inline void add (RealD * __restrict__ y,const RealD * __restrict__ l,const RealD *__restrict__ r){ *y = (*l) + (*r);} accelerator_inline void mac (RealF * __restrict__ y,const RealF * __restrict__ a,const RealF *__restrict__ x){ *y = (*a) * (*x)+(*y); } accelerator_inline void mult(RealF * __restrict__ y,const RealF * __restrict__ l,const RealF *__restrict__ r){ *y = (*l) * (*r); } accelerator_inline void sub (RealF * __restrict__ y,const RealF * __restrict__ l,const RealF *__restrict__ r){ *y = (*l) - (*r); } accelerator_inline void add (RealF * __restrict__ y,const RealF * __restrict__ l,const RealF *__restrict__ r){ *y = (*l) + (*r); } accelerator_inline void vstream(ComplexF &l, const ComplexF &r){ l=r;} accelerator_inline void vstream(ComplexD &l, const ComplexD &r){ l=r;} accelerator_inline void vstream(RealF &l, const RealF &r){ l=r;} accelerator_inline void vstream(RealD &l, const RealD &r){ l=r;} class Zero{}; //static Zero Zero(); template accelerator_inline void zeroit(itype &arg) { arg=Zero();}; template<> accelerator_inline void zeroit(ComplexF &arg){ arg=0; }; template<> accelerator_inline void zeroit(ComplexD &arg){ arg=0; }; template<> accelerator_inline void zeroit(RealF &arg) { arg=0; }; template<> accelerator_inline void zeroit(RealD &arg) { arg=0; }; ////////////////////////////////////////////////////////// // Permute // Permute 0 every ABCDEFGH -> BA DC FE HG // Permute 1 every ABCDEFGH -> CD AB GH EF // Permute 2 every ABCDEFGH -> EFGH ABCD // Permute 3 possible on longer iVector lengths (512bit = 8 double = 16 single) // Permute 4 possible on half precision @512bit vectors. // // Defined inside SIMD specialization files ////////////////////////////////////////////////////////// template accelerator_inline void Gpermute(VectorSIMD &y,const VectorSIMD &b,int perm); NAMESPACE_END(Grid); #include #include NAMESPACE_BEGIN(Grid); // Default precision #ifdef GRID_DEFAULT_PRECISION_DOUBLE typedef vRealD vReal; typedef vComplexD vComplex; #else typedef vRealF vReal; typedef vComplexF vComplex; #endif inline std::ostream& operator<< (std::ostream& stream, const vComplexF &o){ int nn=vComplexF::Nsimd(); std::vector > buf(nn); vstore(o,&buf[0]); stream<<"<"; for(int i=0;i"; return stream; } inline std::ostream& operator<< (std::ostream& stream, const vComplexD &o){ int nn=vComplexD::Nsimd(); std::vector > buf(nn); vstore(o,&buf[0]); stream<<"<"; for(int i=0;i"; return stream; } inline std::ostream& operator<< (std::ostream& stream, const vRealF &o){ int nn=vRealF::Nsimd(); std::vector > buf(nn); vstore(o,&buf[0]); stream<<"<"; for(int i=0;i"; return stream; } inline std::ostream& operator<< (std::ostream& stream, const vRealD &o){ int nn=vRealD::Nsimd(); std::vector > buf(nn); vstore(o,&buf[0]); stream<<"<"; for(int i=0;i"; return stream; } inline std::ostream& operator<< (std::ostream& stream, const vInteger &o){ int nn=vInteger::Nsimd(); std::vector > buf(nn); vstore(o,&buf[0]); stream<<"<"; for(int i=0;i"; return stream; } NAMESPACE_END(Grid) #endif