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https://github.com/paboyle/Grid.git
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1b3c93e22a
Allows multi-precision work and paves the way for alternate BC's and such like allowing for example G-parity which is important for K pipi programme. In particular, can drive an extra flavour index into the fermion fields using template types.
141 lines
4.6 KiB
C++
141 lines
4.6 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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#define parallel_for PARALLEL_FOR_LOOP for
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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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std::vector<int> latt_size = GridDefaultLatt();
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std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
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std::vector<int> mpi_layout = GridDefaultMpi();
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GridCartesian Grid(latt_size,simd_layout,mpi_layout);
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GridRedBlackCartesian RBGrid(latt_size,simd_layout,mpi_layout);
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int threads = GridThread::GetThreads();
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std::cout<<GridLogMessage << "Grid is setup to use "<<threads<<" threads"<<std::endl;
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std::vector<int> seeds({1,2,3,4});
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GridParallelRNG pRNG(&Grid);
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pRNG.SeedRandomDevice();
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LatticeFermion phi (&Grid); gaussian(pRNG,phi);
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LatticeFermion Mphi (&Grid);
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LatticeFermion Mdagphi (&Grid);
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LatticeFermion MphiPrime (&Grid);
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LatticeFermion MdagphiPrime (&Grid);
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LatticeFermion dMphi (&Grid);
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LatticeGaugeField U(&Grid);
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SU3::HotConfiguration(pRNG,U);
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// SU3::ColdConfiguration(pRNG,U);
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////////////////////////////////////
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// Unmodified matrix element
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////////////////////////////////////
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RealD mass=-4.0; //kills the diagonal term
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WilsonFermionR Dw (U, Grid,RBGrid,mass);
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Dw.M (phi,Mphi);
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Dw.Mdag(phi,Mdagphi);
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ComplexD S = innerProduct(Mphi,Mphi); // pdag MdagM p
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ComplexD Sdag = innerProduct(Mdagphi,Mdagphi); // pdag MMdag p
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// get the deriv of phidag MdagM phi with respect to "U"
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LatticeGaugeField UdSdU(&Grid);
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LatticeGaugeField UdSdUdag(&Grid);
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LatticeGaugeField tmp(&Grid);
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Dw.MDeriv(tmp , Mphi, phi,DaggerNo ); UdSdU=tmp;
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Dw.MDeriv(tmp , Mdagphi, phi,DaggerYes ); UdSdUdag=tmp;
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LatticeFermion dMdagphi (&Grid); dMdagphi=zero;
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LatticeFermion Ftmp (&Grid);
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// Dw.MDeriv(UdSdU,Mdagphi, phi,DaggerYes );// UdSdU =UdSdU +tmp;
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////////////////////////////////////
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// Modify the gauge field a little in one dir
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////////////////////////////////////
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RealD dt = 1.0e-3;
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LatticeColourMatrix mommu(&Grid);
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LatticeGaugeField mom(&Grid);
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LatticeGaugeField Uprime(&Grid);
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for(int mu=0;mu<Nd;mu++){
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SU3::GaussianLieAlgebraMatrix(pRNG, mommu); // Traceless antihermitian momentum; gaussian in lie alg
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// Dw.DoubleStore(Dw.Umu,Uprime); // update U _and_ Udag
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Dw.DhopDirDisp(phi,Ftmp,mu,mu+4,DaggerYes);
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dMdagphi=dMdagphi+mommu*Ftmp*dt;
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PokeIndex<LorentzIndex>(mom,mommu,mu);
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parallel_for(auto i=mom.begin();i<mom.end();i++){
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Uprime[i](mu) =U[i](mu)+ mom[i](mu)*U[i](mu)*dt;
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Dw.Umu[i](mu) =Uprime[i](mu); // update U but _not_ Udag
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}
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}
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Dw.Mdag(phi,MdagphiPrime);
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Dw.M (phi,MphiPrime);
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std::cout << GridLogMessage << "deltaMdag phi "<< norm2(dMdagphi) <<std::endl;
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Ftmp=MdagphiPrime - Mdagphi;
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std::cout << GridLogMessage << "diff Mdag phi "<< norm2(Ftmp) <<std::endl;
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Ftmp = Ftmp - dMdagphi;
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std::cout << GridLogMessage << "err Mdag phi "<< norm2(Ftmp) <<std::endl;
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std::cout << dMdagphi<<std::endl;
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Ftmp=MdagphiPrime - Mdagphi;
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std::cout << Ftmp<<std::endl;
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ComplexD Sprime = innerProduct(Mphi ,MphiPrime);
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ComplexD Sprimedag = innerProduct(Mdagphi,MdagphiPrime);
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ComplexD deltaSdag = innerProduct(Mdagphi,dMdagphi);
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std::cout << GridLogMessage << "deltaSdag from inner prod of mom* M[u] "<<deltaSdag<<std::endl;
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//////////////////////////////////////////////
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// Use derivative to estimate dS
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//////////////////////////////////////////////
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LatticeComplex dS(&Grid); dS = zero;
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LatticeComplex dSdag(&Grid); dSdag = zero;
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parallel_for(auto i=mom.begin();i<mom.end();i++){
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for(int mu=0;mu<Nd;mu++){
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// dS[i]() = dS[i]()+trace(mom[i](mu) * UdSdU[i](mu) - mom[i](mu)* adj( UdSdU[i](mu)) )*dt;
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dS[i]() = dS[i]()+trace(mom[i](mu) * UdSdU[i](mu) )*dt;
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dSdag[i]() = dSdag[i]()+trace(mom[i](mu) * UdSdUdag[i](mu) )*dt;
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}
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}
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Complex dSpred = sum(dS);
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Complex dSdagpred = sum(dSdag);
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std::cout << GridLogMessage << " S "<<S<<std::endl;
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std::cout << GridLogMessage << " Sprime "<<Sprime<<std::endl;
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std::cout << GridLogMessage << "dS "<<Sprime-S<<std::endl;
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std::cout << GridLogMessage << "predict dS "<< dSpred <<std::endl;
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std::cout << "\n\n"<<std::endl;
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std::cout << GridLogMessage << " Sdag "<<Sdag<<std::endl;
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std::cout << GridLogMessage << " Sprimedag "<<Sprimedag<<std::endl;
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std::cout << GridLogMessage << "dSdag "<<Sprimedag-Sdag<<std::endl;
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std::cout << GridLogMessage << "predict dSdag "<< dSdagpred <<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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