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https://github.com/paboyle/Grid.git
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137 lines
4.0 KiB
C++
137 lines
4.0 KiB
C++
#include <Grid.h>
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using namespace std;
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using namespace Grid;
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using namespace Grid::QCD;
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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::GammaMatrix Gmu [] = {
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Gamma::GammaX,
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Gamma::GammaY,
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Gamma::GammaZ,
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Gamma::GammaT
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};
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double lowpass(double x)
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{
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return pow(x*x+1.0,-2);
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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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Chebyshev<LatticeFermion> filter(-150.0, 150.0,16, lowpass);
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ofstream csv(std::string("filter.dat"),std::ios::out|std::ios::trunc);
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filter.csv(csv);
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csv.close();
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const int Ls=8;
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GridCartesian * UGrid = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplexF::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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std::vector<int> 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,vComplexF::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); gaussian(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); gaussian(RNG4,Umu);
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//random(RNG4,Umu);
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NerscField header;
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std::string file("./ckpoint_lat.400");
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readNerscConfiguration(Umu,header,file);
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#if 0
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LatticeColourMatrix U(UGrid);
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U=zero;
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for(int nn=0;nn<Nd;nn++){
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if (nn>2) {
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pokeIndex<LorentzIndex>(Umu,U,nn);
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}
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}
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#endif
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RealD mass=0.1;
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RealD M5=1.0;
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DomainWallFermion Ddwf(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5);
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Gamma5R5HermitianLinearOperator<DomainWallFermion,LatticeFermion> HermIndefOp(Ddwf);
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const int nbasis = 8;
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std::vector<LatticeFermion> subspace(nbasis,FGrid);
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LatticeFermion noise(FGrid);
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LatticeFermion ms(FGrid);
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for(int b=0;b<nbasis;b++){
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Gamma g5(Gamma::Gamma5);
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gaussian(RNG5,noise);
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RealD scale = pow(norm2(noise),-0.5);
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noise=noise*scale;
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HermIndefOp.HermOp(noise,ms); std::cout << "Noise "<<b<<" Ms "<<norm2(ms)<< " "<< norm2(noise)<<std::endl;
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// filter(HermIndefOp,noise,subspace[b]);
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// inverse iteration
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MdagMLinearOperator<DomainWallFermion,LatticeFermion> HermDefOp(Ddwf);
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ConjugateGradient<LatticeFermion> CG(1.0e-5,10000);
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for(int i=0;i<4;i++){
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CG(HermDefOp,noise,subspace[b]);
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noise = subspace[b];
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scale = pow(norm2(noise),-0.5);
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noise=noise*scale;
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HermDefOp.HermOp(noise,ms); std::cout << "filt "<<b<<" <u|H|u> "<<norm2(ms)<< " "<< norm2(noise)<<std::endl;
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}
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subspace[b] = noise;
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HermIndefOp.HermOp(subspace[b],ms); std::cout << "Filtered "<<b<<" Ms "<<norm2(ms)<< " "<<norm2(subspace[b]) <<std::endl;
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}
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std::cout << "Computed randoms"<< 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,subspace);
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CoarseVector c_src (Coarse5d);
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CoarseVector c_res (Coarse5d);
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gaussian(CRNG,c_src);
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c_res=zero;
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std::cout << "Solving CG on coarse space "<< std::endl;
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MdagMLinearOperator<LittleDiracOperator,CoarseVector> PosdefLdop(LittleDiracOp);
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ConjugateGradient<CoarseVector> CG(1.0e-8,10000);
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CG(PosdefLdop,c_src,c_res);
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std::cout << "Done "<< std::endl;
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Grid_finalize();
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}
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