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219 lines
7.6 KiB
C++
219 lines
7.6 KiB
C++
/*************************************************************************************
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Grid physics library, www.github.com/paboyle/Grid
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Source file: ./tests/Test_dwf_gpforce.cc
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Copyright (C) 2015
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Author: paboyle <paboyle@ph.ed.ac.uk>
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This program is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License along
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with this program; if not, write to the Free Software Foundation, Inc.,
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51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
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See the full license in the file "LICENSE" in the top level distribution directory
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*************************************************************************************/
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/* END LEGAL */
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#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=8;
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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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typedef typename GparityDomainWallFermionR::FermionField FermionField;
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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 RNG5(FGrid); RNG5.SeedRandomDevice();
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GridParallelRNG RNG4(UGrid); RNG4.SeedRandomDevice();
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FermionField phi (FGrid); gaussian(RNG5,phi);
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FermionField Mphi (FGrid);
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FermionField MphiPrime (FGrid);
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LatticeGaugeField U(UGrid);
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SU3::HotConfiguration(RNG4,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=0.2; //kills the diagonal term
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RealD M5=1.8;
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// const int nu = 3;
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// std::vector<int> twists(Nd,0); // twists[nu] = 1;
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// GparityDomainWallFermionR::ImplParams params; params.twists = twists;
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// GparityDomainWallFermionR Ddwf(U,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5,params);
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// DomainWallFermionR Dw (U, Grid,RBGrid,mass,M5);
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const int nu = 3;
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std::vector<int> twists(Nd,0);
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twists[nu] = 1;
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GparityDomainWallFermionR::ImplParams params;
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params.twists = twists;
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GparityDomainWallFermionR Dw(U,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5,params);
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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(UGrid);
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LatticeGaugeField tmp(UGrid);
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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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FermionField 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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RealD Hmom = 0.0;
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RealD Hmomprime = 0.0;
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RealD Hmompp = 0.0;
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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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Hmom -= real(sum(trace(mommu*mommu)));
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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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std::cout << GridLogMessage <<"Initial mom hamiltonian is "<< Hmom <<std::endl;
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Dw.ImportGauge(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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for(int mu=0;mu<Nd;mu++){
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std::cout << "" <<std::endl;
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mommu = PeekIndex<LorentzIndex>(mom,mu);
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std::cout << GridLogMessage<< " Mommu " << norm2(mommu)<<std::endl;
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mommu = mommu+adj(mommu);
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std::cout << GridLogMessage<< " Mommu + Mommudag " << norm2(mommu)<<std::endl;
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mommu = PeekIndex<LorentzIndex>(UdSdU,mu);
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std::cout << GridLogMessage<< " dsdumu " << norm2(mommu)<<std::endl;
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mommu = mommu+adj(mommu);
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std::cout << GridLogMessage<< " dsdumu + dag " << norm2(mommu)<<std::endl;
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}
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LatticeComplex dS(UGrid); dS = zero;
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LatticeComplex dSmom(UGrid); dSmom = zero;
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LatticeComplex dSmom2(UGrid); dSmom2 = 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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mommu = PeekIndex<LorentzIndex>(mom,mu);
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std::cout << GridLogMessage<< " Mommu " << norm2(mommu)<<std::endl;
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mommu = mommu+adj(mommu);
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std::cout << GridLogMessage<< " Mommu + Mommudag " << norm2(mommu)<<std::endl;
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mommu = PeekIndex<LorentzIndex>(UdSdU,mu);
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std::cout << GridLogMessage<< " dsdumu " << norm2(mommu)<<std::endl;
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mommu = mommu+adj(mommu);
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std::cout << GridLogMessage<< " dsdumu + dag " << norm2(mommu)<<std::endl;
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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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dSmom = dSmom - trace(mommu*forcemu) * dt;
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dSmom2 = dSmom2 - trace(forcemu*forcemu) *(0.25* dt*dt);
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// Update mom action density
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mommu = mommu + forcemu*(dt*0.5);
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Hmomprime -= real(sum(trace(mommu*mommu)));
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}
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Complex dSpred = sum(dS);
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Complex dSm = sum(dSmom);
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Complex dSm2 = sum(dSmom2);
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std::cout << GridLogMessage <<"Initial mom hamiltonian is "<< Hmom <<std::endl;
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std::cout << GridLogMessage <<"Final mom hamiltonian is "<< Hmomprime <<std::endl;
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std::cout << GridLogMessage <<"Delta mom hamiltonian is "<< Hmomprime-Hmom <<std::endl;
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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 <<"dSm "<< dSm<<std::endl;
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std::cout << GridLogMessage <<"dSm2"<< dSm2<<std::endl;
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std::cout << GridLogMessage << "Total dS "<< Hmomprime - Hmom + Sprime - S <<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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