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207 lines
6.6 KiB
C++
207 lines
6.6 KiB
C++
/*************************************************************************************
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Grid physics library, www.github.com/paboyle/Grid
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Source file: ./tests/Test_cayley_coarsen_support.cc
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Copyright (C) 2015
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Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
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Author: Peter Boyle <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/Grid.h>
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using namespace std;
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using namespace Grid;
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;
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template<class d>
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struct scal {
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d internal;
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};
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Gamma::Algebra Gmu [] = {
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Gamma::Algebra::GammaX,
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Gamma::Algebra::GammaY,
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Gamma::Algebra::GammaZ,
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Gamma::Algebra::GammaT
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};
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int main (int argc, char ** argv)
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{
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Grid_init(&argc,&argv);
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const int Ls=8;
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GridCartesian * UGrid = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplex::Nsimd()),GridDefaultMpi());
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GridRedBlackCartesian * UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
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GridCartesian * FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid);
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GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGrid);
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// Construct a coarsened grid
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Coordinate clatt = GridDefaultLatt();
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for(int d=0;d<clatt.size();d++){
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clatt[d] = clatt[d]/2;
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}
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GridCartesian *Coarse4d = SpaceTimeGrid::makeFourDimGrid(clatt, GridDefaultSimd(Nd,vComplex::Nsimd()),GridDefaultMpi());;
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GridCartesian *Coarse5d = SpaceTimeGrid::makeFiveDimGrid(1,Coarse4d);
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std::vector<int> seeds4({1,2,3,4});
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std::vector<int> seeds5({5,6,7,8});
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std::vector<int> cseeds({5,6,7,8});
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GridParallelRNG RNG5(FGrid); RNG5.SeedFixedIntegers(seeds5);
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GridParallelRNG RNG4(UGrid); RNG4.SeedFixedIntegers(seeds4);
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GridParallelRNG CRNG(Coarse5d);CRNG.SeedFixedIntegers(cseeds);
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LatticeFermion src(FGrid); random(RNG5,src);
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LatticeFermion result(FGrid); result=Zero();
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LatticeFermion ref(FGrid); ref=Zero();
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LatticeFermion tmp(FGrid);
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LatticeFermion err(FGrid);
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LatticeGaugeField Umu(UGrid); SU<Nc>::HotConfiguration(RNG4,Umu);
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#if 0
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std::vector<LatticeColourMatrix> U(4,UGrid);
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Umu=Zero();
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Complex cone(1.0,0.0);
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for(int nn=0;nn<Nd;nn++){
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if(1) {
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if (nn>2) { U[nn]=Zero(); std::cout<<GridLogMessage << "zeroing gauge field in dir "<<nn<<std::endl; }
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else { U[nn]=cone; std::cout<<GridLogMessage << "unit gauge field in dir "<<nn<<std::endl; }
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}
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pokeIndex<LorentzIndex>(Umu,U[nn],nn);
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}
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#endif
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RealD mass=0.5;
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RealD M5=1.8;
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DomainWallFermionR Ddwf(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5);
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Gamma5R5HermitianLinearOperator<DomainWallFermionR,LatticeFermion> HermIndefOp(Ddwf);
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HermIndefOp.Op(src,ref);
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HermIndefOp.OpDiag(src,result);
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for(int d=0;d<4;d++){
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HermIndefOp.OpDir(src,tmp,d+1,+1); result=result+tmp;
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std::cout<<GridLogMessage<<"dir "<<d<<" tmp "<<norm2(tmp)<<std::endl;
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HermIndefOp.OpDir(src,tmp,d+1,-1); result=result+tmp;
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std::cout<<GridLogMessage<<"dir "<<d<<" tmp "<<norm2(tmp)<<std::endl;
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}
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err = result-ref;
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std::cout<<GridLogMessage<<"Error "<<norm2(err)<<std::endl;
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const int nbasis = 2;
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const int cb = 0 ;
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LatticeFermion prom(FGrid);
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std::vector<LatticeFermion> subspace(nbasis,FGrid);
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std::cout<<GridLogMessage<<"Calling Aggregation class" <<std::endl;
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MdagMLinearOperator<DomainWallFermionR,LatticeFermion> HermDefOp(Ddwf);
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typedef Aggregation<vSpinColourVector,vTComplex,nbasis> Subspace;
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Subspace Aggregates(Coarse5d,FGrid,cb);
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// Aggregates.CreateSubspaceRandom(RNG5);
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subspace=Aggregates.subspace;
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std::cout<<GridLogMessage << "Called aggregation class"<< std::endl;
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typedef CoarsenedMatrix<vSpinColourVector,vTComplex,nbasis> LittleDiracOperator;
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typedef LittleDiracOperator::CoarseVector CoarseVector;
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LittleDiracOperator LittleDiracOp(*Coarse5d);
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LittleDiracOp.CoarsenOperator(FGrid,HermIndefOp,Aggregates);
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CoarseVector c_src (Coarse5d);
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CoarseVector c_res (Coarse5d);
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CoarseVector c_proj(Coarse5d);
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Complex one(1.0);
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c_src = one; // 1 in every element for vector 1.
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blockPromote(c_src,err,subspace);
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prom=Zero();
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for(int b=0;b<nbasis;b++){
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prom=prom+subspace[b];
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}
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err=err-prom;
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std::cout<<GridLogMessage<<"Promoted back from subspace err "<<norm2(err)<<std::endl;
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HermIndefOp.HermOp(prom,tmp);
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blockProject(c_proj,tmp,subspace);
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LittleDiracOp.M(c_src,c_res);
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c_proj = c_proj - c_res;
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std::cout<<GridLogMessage<<"Representation of ldop within subspace "<<norm2(c_proj)<<std::endl;
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std::cout<<GridLogMessage << "Multiplying by LittleDiracOp "<< std::endl;
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LittleDiracOp.M(c_src,c_res);
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std::cout<<GridLogMessage<<"Testing hermiticity explicitly by inspecting matrix elements"<<std::endl;
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// LittleDiracOp.AssertHermitian();
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std::cout<<GridLogMessage << "Testing Hermiticity stochastically "<< std::endl;
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CoarseVector phi(Coarse5d);
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CoarseVector chi(Coarse5d);
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CoarseVector Aphi(Coarse5d);
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CoarseVector Achi(Coarse5d);
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random(CRNG,phi);
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random(CRNG,chi);
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std::cout<<GridLogMessage<<"Made randoms"<<std::endl;
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LittleDiracOp.M(phi,Aphi);
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LittleDiracOp.Mdag(chi,Achi);
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ComplexD pAc = innerProduct(chi,Aphi);
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ComplexD cAp = innerProduct(phi,Achi);
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ComplexD cAc = innerProduct(chi,Achi);
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ComplexD pAp = innerProduct(phi,Aphi);
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std::cout<<GridLogMessage<< "pAc "<<pAc<<" cAp "<< cAp<< " diff "<<pAc-adj(cAp)<<std::endl;
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std::cout<<GridLogMessage<< "pAp "<<pAp<<" cAc "<< cAc<<"Should be real"<< std::endl;
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std::cout<<GridLogMessage<<"Testing linearity"<<std::endl;
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CoarseVector PhiPlusChi(Coarse5d);
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CoarseVector APhiPlusChi(Coarse5d);
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CoarseVector linerr(Coarse5d);
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PhiPlusChi = phi+chi;
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LittleDiracOp.M(PhiPlusChi,APhiPlusChi);
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linerr= APhiPlusChi-Aphi;
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linerr= linerr-Achi;
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std::cout<<GridLogMessage<<"**Diff "<<norm2(linerr)<<std::endl;
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std::cout<<GridLogMessage << "Done "<< std::endl;
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Grid_finalize();
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}
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