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d9d4c5916a
Now need to construct pseudofermion two flavour, ratio, one flavour, ratio action fragments.
103 lines
3.0 KiB
C++
103 lines
3.0 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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#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 MphiPrime (&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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WilsonFermion Dw (U, Grid,RBGrid,mass);
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Dw.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(&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 , phi, Mphi,DaggerYes ); UdSdU=UdSdU+tmp;
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LatticeFermion Ftmp (&Grid);
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////////////////////////////////////
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// Modify the gauge field a little
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////////////////////////////////////
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RealD dt = 1.0e-6;
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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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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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}
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}
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Dw.DoubleStore(Dw.Umu,Uprime);
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Dw.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(&Grid); dS = 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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dS[i]() = dS[i]()-trace(mom[i](mu) * adj(UdSdU[i](mu)))*dt;
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}
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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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