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Add Wilson, DWF, Overlap feynman rule tests
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paboyle
parent
dc389e467c
commit
db749f103f
@ -1,6 +1,6 @@
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/*************************************************************************************
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Grid physics library, www.github.com/paboyle/Grid
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grid` physics library, www.github.com/paboyle/Grid
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Source file: ./tests/Test_cshift.cc
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@ -61,18 +61,22 @@ int main (int argc, char ** argv)
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LatticeSpinMatrixD S(&GRID);
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LatticeSpinMatrixD Stilde(&GRID);
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std::vector<int> p({1,2,3,2});
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std::vector<int> p({1,3,2,3});
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one = ComplexD(1.0,0.0);
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zz = ComplexD(0.0,0.0);
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ComplexD ci(0.0,1.0);
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std::cout<<"*************************************************"<<std::endl;
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std::cout<<"Testing Fourier xfrom of known plane wave "<<std::endl;
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std::cout<<"*************************************************"<<std::endl;
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C=zero;
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for(int mu=0;mu<4;mu++){
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RealD TwoPiL = M_PI * 2.0/ latt_size[mu];
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LatticeCoordinate(coor,mu);
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C = C - (TwoPiL * p[mu]) * coor;
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C = C + (TwoPiL * p[mu]) * coor;
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}
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C = exp(C*ci);
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@ -82,11 +86,11 @@ int main (int argc, char ** argv)
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FFT theFFT(&GRID);
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theFFT.FFT_dim(Ctilde,C,0,FFT::forward); C=Ctilde;
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std::cout<<" Benchmarking FFT of LatticeComplex "<<std::endl;
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theFFT.FFT_dim(Ctilde,C,0,FFT::forward); C=Ctilde; std::cout << theFFT.MFlops()<<" Mflops "<<std::endl;
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theFFT.FFT_dim(Ctilde,C,1,FFT::forward); C=Ctilde; std::cout << theFFT.MFlops()<<" Mflops "<<std::endl;
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theFFT.FFT_dim(Ctilde,C,2,FFT::forward); C=Ctilde;
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theFFT.FFT_dim(Ctilde,C,3,FFT::forward);
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theFFT.FFT_dim(Ctilde,C,2,FFT::forward); C=Ctilde; std::cout << theFFT.MFlops()<<" Mflops "<<std::endl;
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theFFT.FFT_dim(Ctilde,C,3,FFT::forward); std::cout << theFFT.MFlops()<<" Mflops "<<std::endl;
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// C=zero;
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// Ctilde = where(abs(Ctilde)<1.0e-10,C,Ctilde);
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@ -95,9 +99,11 @@ int main (int argc, char ** argv)
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Cref=zero;
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pokeSite(cVol,Cref,p);
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// std::cout <<"Ctilde "<< Ctilde <<std::endl;
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// std::cout <<"Cref "<< Cref <<std::endl;
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Cref=Cref-Ctilde;
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std::cout << "diff scalar "<<norm2(Cref) << std::endl;
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C=Csav;
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theFFT.FFT_all_dim(Ctilde,C,FFT::forward);
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theFFT.FFT_all_dim(Cref,Ctilde,FFT::backward);
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@ -107,10 +113,11 @@ int main (int argc, char ** argv)
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Cref= Cref - C;
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std::cout << " invertible check " << norm2(Cref)<<std::endl;
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theFFT.FFT_dim(Stilde,S,0,FFT::forward); S=Stilde;
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std::cout<<" Benchmarking FFT of LatticeSpinMatrix "<<std::endl;
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theFFT.FFT_dim(Stilde,S,0,FFT::forward); S=Stilde;std::cout << theFFT.MFlops()<<" mflops "<<std::endl;
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theFFT.FFT_dim(Stilde,S,1,FFT::forward); S=Stilde;std::cout << theFFT.MFlops()<<" mflops "<<std::endl;
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theFFT.FFT_dim(Stilde,S,2,FFT::forward); S=Stilde;
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theFFT.FFT_dim(Stilde,S,3,FFT::forward);
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theFFT.FFT_dim(Stilde,S,2,FFT::forward); S=Stilde;std::cout << theFFT.MFlops()<<" mflops "<<std::endl;
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theFFT.FFT_dim(Stilde,S,3,FFT::forward);std::cout << theFFT.MFlops()<<" mflops "<<std::endl;
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SpinMatrixD Sp;
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Sp = zero; Sp = Sp+cVol;
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@ -124,94 +131,319 @@ int main (int argc, char ** argv)
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/*
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*/
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std::vector<int> seeds({1,2,3,4});
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GridSerialRNG sRNG; sRNG.SeedFixedIntegers(seeds); // naughty seeding
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GridParallelRNG pRNG(&GRID);
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pRNG.SeedFixedIntegers(seeds);
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LatticeGaugeFieldD Umu(&GRID);
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SU3::ColdConfiguration(pRNG,Umu); // Unit gauge
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// Umu=zero;
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////////////////////////////////////////////////////
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// Wilson test
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////////////////////////////////////////////////////
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{
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LatticeFermionD src(&GRID); gaussian(pRNG,src);
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LatticeFermionD tmp(&GRID);
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LatticeFermionD ref(&GRID);
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RealD mass=0.1;
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RealD mass=0.01;
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WilsonFermionD Dw(Umu,GRID,RBGRID,mass);
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Dw.M(src,tmp);
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std::cout << " src = " <<norm2(src)<<std::endl;
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std::cout << " tmp = " <<norm2(tmp)<<std::endl;
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std::cout << "Dw src = " <<norm2(src)<<std::endl;
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std::cout << "Dw tmp = " <<norm2(tmp)<<std::endl;
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Dw.FreePropagator(tmp,ref);
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Dw.FreePropagator(tmp,ref,mass);
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std::cout << " ref = " <<norm2(ref)<<std::endl;
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std::cout << "Dw ref = " <<norm2(ref)<<std::endl;
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ref = ref - src;
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std::cout << " ref-src = " <<norm2(ref)<<std::endl;
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std::cout << "Dw ref-src = " <<norm2(ref)<<std::endl;
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}
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////////////////////////////////////////////////////
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// Dwf matrix
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////////////////////////////////////////////////////
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{
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LatticeFermionD src(&GRID); gaussian(pRNG,src);
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LatticeFermionD tmp(&GRID);
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LatticeFermionD ref(&GRID);
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std::cout<<"****************************************"<<std::endl;
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std::cout<<"Testing Fourier representation of Ddwf"<<std::endl;
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std::cout<<"****************************************"<<std::endl;
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const int Ls=16;
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const int sdir=0;
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RealD mass=0.01;
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RealD M5 =1.0;
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Gamma G5(Gamma::Gamma5);
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const int Ls=8;
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GridCartesian * FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls,&GRID);
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GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,&GRID);
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RealD mass=0.1;
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RealD M5 =0.9;
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std::cout<<"Making Ddwf"<<std::endl;
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DomainWallFermionD Ddwf(Umu,*FGrid,*FrbGrid,GRID,RBGRID,mass,M5);
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// Need to solve and project 4d. New test required.
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GridParallelRNG RNG5(FGrid); RNG5.SeedFixedIntegers(seeds);
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LatticeFermionD src5(FGrid); gaussian(RNG5,src5);
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LatticeFermionD src5_p(FGrid);
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LatticeFermionD result5(FGrid);
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LatticeFermionD ref5(FGrid);
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LatticeFermionD tmp5(FGrid);
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Ddwf.MomentumSpacePropagatorHw(ref,src) ;
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std::cout << " Hw Mom space \n";
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/////////////////////////////////////////////////////////////////
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// result5 is the non pert operator in 4d mom space
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/////////////////////////////////////////////////////////////////
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Ddwf.M(src5,tmp5);
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ref5 = tmp5;
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FFT theFFT5(FGrid);
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Ddwf.MomentumSpacePropagatorHt(ref,src) ;
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std::cout << " Ht Mom space \n";
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theFFT5.FFT_dim(result5,tmp5,1,FFT::forward); tmp5 = result5;
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theFFT5.FFT_dim(result5,tmp5,2,FFT::forward); tmp5 = result5;
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theFFT5.FFT_dim(result5,tmp5,3,FFT::forward); tmp5 = result5;
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theFFT5.FFT_dim(result5,tmp5,4,FFT::forward); result5 = result5*ComplexD(::sqrt(1.0/vol),0.0);
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std::cout<<"Fourier xformed Ddwf"<<std::endl;
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tmp5 = src5;
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theFFT5.FFT_dim(src5_p,tmp5,1,FFT::forward); tmp5 = src5_p;
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theFFT5.FFT_dim(src5_p,tmp5,2,FFT::forward); tmp5 = src5_p;
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theFFT5.FFT_dim(src5_p,tmp5,3,FFT::forward); tmp5 = src5_p;
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theFFT5.FFT_dim(src5_p,tmp5,4,FFT::forward); src5_p = src5_p*ComplexD(::sqrt(1.0/vol),0.0);
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std::cout<<"Fourier xformed src5"<<std::endl;
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/////////////////////////////////////////////////////////////////
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// work out the predicted from Fourier
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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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Gamma::Gamma5
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};
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LatticeFermionD Kinetic(FGrid); Kinetic = zero;
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LatticeComplexD kmu(FGrid);
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LatticeInteger scoor(FGrid);
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LatticeComplexD sk (FGrid); sk = zero;
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LatticeComplexD sk2(FGrid); sk2= zero;
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LatticeComplexD W(FGrid); W= zero;
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// LatticeComplexD a(FGrid); a= zero;
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LatticeComplexD one(FGrid); one =ComplexD(1.0,0.0);
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ComplexD ci(0.0,1.0);
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for(int mu=0;mu<Nd;mu++) {
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LatticeCoordinate(kmu,mu+1);
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RealD TwoPiL = M_PI * 2.0/ latt_size[mu];
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kmu = TwoPiL * kmu;
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sk2 = sk2 + 2.0*sin(kmu*0.5)*sin(kmu*0.5);
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sk = sk + sin(kmu) *sin(kmu);
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// -1/2 Dw -> 1/2 gmu (eip - emip) = i sinp gmu
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Kinetic = Kinetic + sin(kmu)*ci*(Gamma(Gmu[mu])*src5_p);
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}
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// NB implicit sum over mu
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//
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// 1-1/2 Dw = 1 - 1/2 ( eip+emip)
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// = - 1/2 (ei - 2 + emi)
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// = - 1/4 2 (eih - eimh)(eih - eimh)
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// = 2 sink/2 ink/2 = sk2
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W = one - M5 + sk2;
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Kinetic = Kinetic + W * src5_p;
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LatticeCoordinate(scoor,sdir);
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tmp5 = Cshift(src5_p,sdir,+1);
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tmp5 = (tmp5 - G5*tmp5)*0.5;
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tmp5 = where(scoor==Integer(Ls-1),mass*tmp5,-tmp5);
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Kinetic = Kinetic + tmp5;
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tmp5 = Cshift(src5_p,sdir,-1);
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tmp5 = (tmp5 + G5*tmp5)*0.5;
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tmp5 = where(scoor==Integer(0),mass*tmp5,-tmp5);
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Kinetic = Kinetic + tmp5;
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std::cout<<"Momentum space Ddwf "<< norm2(Kinetic)<<std::endl;
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std::cout<<"Stencil Ddwf "<< norm2(result5)<<std::endl;
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result5 = result5 - Kinetic;
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std::cout<<"diff "<< norm2(result5)<<std::endl;
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}
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////////////////////////////////////////////////////
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// Dwf prop
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////////////////////////////////////////////////////
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{
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std::cout<<"****************************************"<<std::endl;
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std::cout << "Testing Ddwf Ht Mom space 4d propagator \n";
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std::cout<<"****************************************"<<std::endl;
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LatticeFermionD src(&GRID); gaussian(pRNG,src);
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LatticeFermionD tmp(&GRID);
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LatticeFermionD ref(&GRID);
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LatticeFermionD diff(&GRID);
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std::vector<int> point(4,0);
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src=zero;
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SpinColourVectorD ferm; gaussian(sRNG,ferm);
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pokeSite(ferm,src,point);
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const int Ls=32;
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GridCartesian * FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls,&GRID);
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GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,&GRID);
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RealD mass=0.01;
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RealD M5 =0.8;
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DomainWallFermionD Ddwf(Umu,*FGrid,*FrbGrid,GRID,RBGRID,mass,M5);
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// Momentum space prop
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std::cout << " Solving by FFT and Feynman rules" <<std::endl;
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Ddwf.FreePropagator(src,ref,mass) ;
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Gamma G5(Gamma::Gamma5);
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LatticeFermionD src5(FGrid); src5=zero;
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LatticeFermionD tmp5(FGrid);
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LatticeFermionD result5(FGrid); result5=zero;
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LatticeFermionD result4(&GRID);
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const int sdir=0;
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tmp = (src + G5*src)*0.5;
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InsertSlice(tmp,src5,Ls-1,sdir);
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tmp = (src - G5*src)*0.5;
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InsertSlice(tmp,src5,0,sdir);
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////////////////////////////////////////////////////////////////////////
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// Domain wall physical field source
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////////////////////////////////////////////////////////////////////////
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/*
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chi_5[0] = chiralProjectPlus(chi);
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chi_5[Ls-1]= chiralProjectMinus(chi);
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*/
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tmp = (src + G5*src)*0.5; InsertSlice(tmp,src5, 0,sdir);
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tmp = (src - G5*src)*0.5; InsertSlice(tmp,src5,Ls-1,sdir);
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////////////////////////////////////////////////////////////////////////
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// Conjugate gradient on normal equations system
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////////////////////////////////////////////////////////////////////////
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std::cout << " Solving by Conjugate Gradient (CGNE)" <<std::endl;
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Ddwf.Mdag(src5,tmp5);
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src5=tmp5;
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MdagMLinearOperator<DomainWallFermionD,LatticeFermionD> HermOp(Ddwf);
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ConjugateGradient<LatticeFermionD> CG(1.0e-4,1000);
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ConjugateGradient<LatticeFermionD> CG(1.0e-16,10000);
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CG(HermOp,src5,result5);
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result5 = zero;
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ExtractSlice(tmp,result5,0,sdir);
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result4 = (tmp+G5*tmp)*0.5;
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////////////////////////////////////////////////////////////////////////
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// Domain wall physical field propagator
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////////////////////////////////////////////////////////////////////////
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/*
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psi = chiralProjectMinus(psi_5[0]);
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psi += chiralProjectPlus(psi_5[Ls-1]);
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*/
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ExtractSlice(tmp,result5,0 ,sdir); result4 = (tmp-G5*tmp)*0.5;
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ExtractSlice(tmp,result5,Ls-1,sdir); result4 = result4+(tmp+G5*tmp)*0.5;
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ExtractSlice(tmp,result5,Ls-1,sdir);
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result4 = result4+(tmp-G5*tmp)*0.5;
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std::cout << " Taking difference" <<std::endl;
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std::cout << "Ddwf result4 "<<norm2(result4)<<std::endl;
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std::cout << "Ddwf ref "<<norm2(ref)<<std::endl;
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diff = ref - result4;
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std::cout << "result - ref "<<norm2(diff)<<std::endl;
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std::cout << "src "<<norm2(src)<<std::endl;
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std::cout << "src5 "<<norm2(src5)<<std::endl;
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std::cout << "result4 "<<norm2(result4)<<std::endl;
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std::cout << "ref "<<norm2(ref)<<std::endl;
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}
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////////////////////////////////////////////////////
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// Dwf prop
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////////////////////////////////////////////////////
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{
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std::cout<<"****************************************"<<std::endl;
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std::cout << "Testing Dov Ht Mom space 4d propagator \n";
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std::cout<<"****************************************"<<std::endl;
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LatticeFermionD src(&GRID); gaussian(pRNG,src);
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LatticeFermionD tmp(&GRID);
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LatticeFermionD ref(&GRID);
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LatticeFermionD diff(&GRID);
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std::vector<int> point(4,0);
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src=zero;
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SpinColourVectorD ferm; gaussian(sRNG,ferm);
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pokeSite(ferm,src,point);
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const int Ls=48;
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GridCartesian * FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls,&GRID);
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GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,&GRID);
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RealD mass=0.01;
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RealD M5 =0.8;
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OverlapWilsonCayleyTanhFermionD Dov(Umu,*FGrid,*FrbGrid,GRID,RBGRID,mass,M5,1.0);
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// Momentum space prop
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std::cout << " Solving by FFT and Feynman rules" <<std::endl;
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Dov.FreePropagator(src,ref,mass) ;
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Gamma G5(Gamma::Gamma5);
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LatticeFermionD src5(FGrid); src5=zero;
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LatticeFermionD tmp5(FGrid);
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LatticeFermionD result5(FGrid); result5=zero;
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LatticeFermionD result4(&GRID);
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const int sdir=0;
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////////////////////////////////////////////////////////////////////////
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// Domain wall physical field source; need D_minus
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////////////////////////////////////////////////////////////////////////
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/*
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chi_5[0] = chiralProjectPlus(chi);
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chi_5[Ls-1]= chiralProjectMinus(chi);
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*/
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tmp = (src + G5*src)*0.5; InsertSlice(tmp,src5, 0,sdir);
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tmp = (src - G5*src)*0.5; InsertSlice(tmp,src5,Ls-1,sdir);
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////////////////////////////////////////////////////////////////////////
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// Conjugate gradient on normal equations system
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////////////////////////////////////////////////////////////////////////
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std::cout << " Solving by Conjugate Gradient (CGNE)" <<std::endl;
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Dov.Dminus(src5,tmp5);
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src5=tmp5;
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Dov.Mdag(src5,tmp5);
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src5=tmp5;
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MdagMLinearOperator<OverlapWilsonCayleyTanhFermionD,LatticeFermionD> HermOp(Dov);
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ConjugateGradient<LatticeFermionD> CG(1.0e-16,10000);
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CG(HermOp,src5,result5);
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////////////////////////////////////////////////////////////////////////
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// Domain wall physical field propagator
|
||||
////////////////////////////////////////////////////////////////////////
|
||||
/*
|
||||
psi = chiralProjectMinus(psi_5[0]);
|
||||
psi += chiralProjectPlus(psi_5[Ls-1]);
|
||||
*/
|
||||
ExtractSlice(tmp,result5,0 ,sdir); result4 = (tmp-G5*tmp)*0.5;
|
||||
ExtractSlice(tmp,result5,Ls-1,sdir); result4 = result4+(tmp+G5*tmp)*0.5;
|
||||
|
||||
std::cout << " Taking difference" <<std::endl;
|
||||
std::cout << "Dov result4 "<<norm2(result4)<<std::endl;
|
||||
std::cout << "Dov ref "<<norm2(ref)<<std::endl;
|
||||
|
||||
diff = ref - result4;
|
||||
std::cout << "result - ref "<<norm2(diff)<<std::endl;
|
||||
|
||||
}
|
||||
|
||||
{
|
||||
typedef GaugeImplTypes<vComplexD, 1> QEDGimplTypesD;
|
||||
typedef Photon<QEDGimplTypesD> QEDGaction;
|
||||
|
||||
QEDGaction Maxwell(QEDGaction::FEYNMAN_L);
|
||||
QEDGaction::GaugeField Prop(&GRID);Prop=zero;
|
||||
QEDGaction::GaugeField Source(&GRID);Source=zero;
|
||||
|
||||
Loading…
Reference in New Issue
Block a user