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Adding files for multiple implementations (cache opt) and Ls vectorisation
of the 5D cayley form chiral fermions for the 5d matrix. With Ls entirely in the vector direction, s-hopping terms involve rotations. The serial dependence of the LDU inversion for Mobius and 4d even odd checkerboarding is removed by simply applying Ls^2 operations (vectorised many ways) as a dense matrix operation. This should give similar throughput but high flops (non-compulsory flops) but enable use of the KNL cache friendly kernels throughout the code. Ls is still constrained to be a multiple of Nsimd, which is as much as 8 for AVX512 with single precision.
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129
lib/qcd/action/fermion/CayleyFermion5Ddense.cc
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129
lib/qcd/action/fermion/CayleyFermion5Ddense.cc
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/*************************************************************************************
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Grid physics library, www.github.com/paboyle/Grid
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Source file: ./lib/qcd/action/fermion/CayleyFermion5D.cc
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Copyright (C) 2015
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Author: Peter Boyle <pabobyle@ph.ed.ac.uk>
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Author: Peter Boyle <paboyle@ph.ed.ac.uk>
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Author: Peter Boyle <peterboyle@Peters-MacBook-Pro-2.local>
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Author: paboyle <paboyle@ph.ed.ac.uk>
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This program is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License along
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with this program; if not, write to the Free Software Foundation, Inc.,
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51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
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See the full license in the file "LICENSE" in the top level distribution directory
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*************************************************************************************/
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/* END LEGAL */
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#include <Grid/Eigen/Dense>
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#include <Grid.h>
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namespace Grid {
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namespace QCD {
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/*
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* Dense matrix versions of routines
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*/
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template<class Impl>
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void CayleyFermion5D<Impl>::MooeeInvDag (const FermionField &psi, FermionField &chi)
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{
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this->MooeeInternal(psi,chi,DaggerYes,InverseYes);
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}
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template<class Impl>
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void CayleyFermion5D<Impl>::MooeeInv(const FermionField &psi, FermionField &chi)
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{
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this->MooeeInternal(psi,chi,DaggerNo,InverseYes);
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}
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template<class Impl>
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void CayleyFermion5D<Impl>::MooeeInternal(const FermionField &psi, FermionField &chi,int dag, int inv)
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{
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int Ls=this->Ls;
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int LLs = psi._grid->_rdimensions[0];
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int vol = psi._grid->oSites()/LLs;
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chi.checkerboard=psi.checkerboard;
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assert(Ls==LLs);
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Eigen::MatrixXd Pplus = Eigen::MatrixXd::Zero(Ls,Ls);
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Eigen::MatrixXd Pminus = Eigen::MatrixXd::Zero(Ls,Ls);
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for(int s=0;s<Ls;s++){
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Pplus(s,s) = bee[s];
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Pminus(s,s)= bee[s];
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}
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for(int s=0;s<Ls-1;s++){
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Pminus(s,s+1) = -cee[s];
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}
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for(int s=0;s<Ls-1;s++){
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Pplus(s+1,s) = -cee[s+1];
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}
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Pplus (0,Ls-1) = mass*cee[0];
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Pminus(Ls-1,0) = mass*cee[Ls-1];
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Eigen::MatrixXd PplusMat ;
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Eigen::MatrixXd PminusMat;
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if ( inv ) {
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PplusMat =Pplus.inverse();
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PminusMat=Pminus.inverse();
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} else {
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PplusMat =Pplus;
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PminusMat=Pminus;
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}
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if(dag){
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PplusMat.adjointInPlace();
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PminusMat.adjointInPlace();
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}
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// For the non-vectorised s-direction this is simple
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for(auto site=0;site<vol;site++){
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SiteSpinor SiteChi;
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SiteHalfSpinor SitePplus;
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SiteHalfSpinor SitePminus;
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for(int s1=0;s1<Ls;s1++){
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SiteChi =zero;
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for(int s2=0;s2<Ls;s2++){
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int lex2 = s2+Ls*site;
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if ( PplusMat(s1,s2) != 0.0 ) {
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spProj5p(SitePplus,psi[lex2]);
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accumRecon5p(SiteChi,PplusMat (s1,s2)*SitePplus);
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}
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if ( PminusMat(s1,s2) != 0.0 ) {
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spProj5m(SitePminus,psi[lex2]);
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accumRecon5m(SiteChi,PminusMat(s1,s2)*SitePminus);
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}
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}
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chi[s1+Ls*site] = SiteChi*0.5;
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}
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}
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}
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FermOp4dVecTemplateInstantiate(CayleyFermion5D);
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}}
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