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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.
127 lines
3.9 KiB
C++
127 lines
3.9 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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const int Ls=9;
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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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std::vector<int> seeds4({1,2,3,4});
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std::vector<int> seeds5({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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int threads = GridThread::GetThreads();
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std::cout<<GridLogMessage << "Grid is setup to use "<<threads<<" threads"<<std::endl;
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LatticeFermion phi (FGrid); gaussian(RNG5,phi);
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LatticeFermion Mphi (FGrid);
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LatticeFermion MphiPrime (FGrid);
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LatticeGaugeField U(UGrid);
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SU3::HotConfiguration(RNG4,U);
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////////////////////////////////////
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// Unmodified matrix element
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////////////////////////////////////
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RealD mass=0.01;
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RealD M5=1.8;
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OverlapWilsonPartialFractionTanhFermionR Dpf(U,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5,1.0);
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Dpf.M (phi,Mphi);
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ComplexD S = innerProduct(Mphi,Mphi); // pdag MdagM p
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// get the deriv of phidag MdagM phi with respect to "U"
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LatticeGaugeField UdSdU(UGrid);
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LatticeGaugeField tmp(UGrid);
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Dpf.MDeriv(tmp , Mphi, phi,DaggerNo ); UdSdU=tmp;
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Dpf.MDeriv(tmp , phi, Mphi,DaggerYes ); UdSdU=(UdSdU+tmp);
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LatticeFermion Ftmp (FGrid);
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////////////////////////////////////
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// Modify the gauge field a little
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////////////////////////////////////
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RealD dt = 0.0001;
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LatticeColourMatrix mommu(UGrid);
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LatticeColourMatrix forcemu(UGrid);
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LatticeGaugeField mom(UGrid);
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LatticeGaugeField Uprime(UGrid);
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for(int mu=0;mu<Nd;mu++){
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SU3::GaussianLieAlgebraMatrix(RNG4, mommu); // Traceless antihermitian momentum; gaussian in lie alg
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PokeIndex<LorentzIndex>(mom,mommu,mu);
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// fourth order exponential approx
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parallel_for(auto i=mom.begin();i<mom.end();i++){
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Uprime[i](mu) =
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U[i](mu)
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+ mom[i](mu)*U[i](mu)*dt
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+ mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt/2.0)
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+ mom[i](mu) *mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt*dt/6.0)
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+ mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt*dt*dt/24.0)
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+ mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt*dt*dt*dt/120.0)
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+ mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt*dt*dt*dt*dt/720.0)
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;
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}
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}
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Dpf.ImportGauge(Uprime);
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Dpf.M (phi,MphiPrime);
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ComplexD Sprime = innerProduct(MphiPrime ,MphiPrime);
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//////////////////////////////////////////////
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// Use derivative to estimate dS
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//////////////////////////////////////////////
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LatticeComplex dS(UGrid); dS = zero;
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for(int mu=0;mu<Nd;mu++){
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mommu = PeekIndex<LorentzIndex>(UdSdU,mu);
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mommu=Ta(mommu)*2.0;
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PokeIndex<LorentzIndex>(UdSdU,mommu,mu);
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}
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for(int mu=0;mu<Nd;mu++){
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forcemu = PeekIndex<LorentzIndex>(UdSdU,mu);
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mommu = PeekIndex<LorentzIndex>(mom,mu);
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// Update PF action density
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dS = dS+trace(mommu*forcemu)*dt;
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}
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Complex dSpred = sum(dS);
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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<< GridLogMessage << "Done" <<std::endl;
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Grid_finalize();
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}
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