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Two flavour HMC for Wilson/Wilson is conserving energy.
Still to check plaq and <e(-dH)>, but nevertheless this is progress
This commit is contained in:
Peter Boyle
@ -1,5 +1,5 @@
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bin_PROGRAMS = Test_GaugeAction Test_cayley_cg Test_cayley_coarsen_support Test_cayley_even_odd Test_cayley_ldop_cr Test_cf_coarsen_support Test_cf_cr_unprec Test_contfrac_cg Test_contfrac_even_odd Test_cshift Test_cshift_red_black Test_dwf_cg_prec Test_dwf_cg_schur Test_dwf_cg_unprec Test_dwf_cr_unprec Test_dwf_even_odd Test_dwf_fpgcr Test_dwf_hdcr Test_gamma Test_hmc_WilsonGauge Test_lie_generators Test_main Test_multishift_sqrt Test_nersc_io Test_quenched_update Test_remez Test_rng Test_rng_fixed Test_simd Test_stencil Test_wilson_cg_prec Test_wilson_cg_schur Test_wilson_cg_unprec Test_wilson_cr_unprec Test_wilson_even_odd Test_wilson_force Test_wilson_force_phiMdagMphi Test_wilson_force_phiMphi
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bin_PROGRAMS = Test_GaugeAction Test_cayley_cg Test_cayley_coarsen_support Test_cayley_even_odd Test_cayley_ldop_cr Test_cf_coarsen_support Test_cf_cr_unprec Test_contfrac_cg Test_contfrac_even_odd Test_cshift Test_cshift_red_black Test_dwf_cg_prec Test_dwf_cg_schur Test_dwf_cg_unprec Test_dwf_cr_unprec Test_dwf_even_odd Test_dwf_fpgcr Test_dwf_hdcr Test_gamma Test_hmc_WilsonFermionGauge Test_hmc_WilsonGauge Test_lie_generators Test_main Test_multishift_sqrt Test_nersc_io Test_quenched_update Test_remez Test_rng Test_rng_fixed Test_simd Test_stencil Test_wilson_cg_prec Test_wilson_cg_schur Test_wilson_cg_unprec Test_wilson_cr_unprec Test_wilson_even_odd Test_wilson_force Test_wilson_force_phiMdagMphi Test_wilson_force_phiMphi
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Test_GaugeAction_SOURCES=Test_GaugeAction.cc
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@ -78,6 +78,10 @@ Test_gamma_SOURCES=Test_gamma.cc
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Test_gamma_LDADD=-lGrid
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Test_hmc_WilsonFermionGauge_SOURCES=Test_hmc_WilsonFermionGauge.cc
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Test_hmc_WilsonFermionGauge_LDADD=-lGrid
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Test_hmc_WilsonGauge_SOURCES=Test_hmc_WilsonGauge.cc
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Test_hmc_WilsonGauge_LDADD=-lGrid
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55
tests/Test_hmc_WilsonFermionGauge.cc
Normal file
55
tests/Test_hmc_WilsonFermionGauge.cc
Normal file
@ -0,0 +1,55 @@
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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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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(4,vComplex::Nsimd());
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std::vector<int> mpi_layout = GridDefaultMpi();
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GridCartesian Fine(latt_size,simd_layout,mpi_layout);
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GridRedBlackCartesian RBFine(latt_size,simd_layout,mpi_layout);
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GridParallelRNG pRNG(&Fine);
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pRNG.SeedRandomDevice();
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LatticeLorentzColourMatrix U(&Fine);
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SU3::HotConfiguration(pRNG, U);
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// simplify template declaration? Strip the lorentz from the second template
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WilsonGaugeAction<LatticeLorentzColourMatrix, LatticeColourMatrix> Waction(5.6);
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Real mass=0.01;
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WilsonFermion FermOp(U,Fine,RBFine,mass);
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ConjugateGradient<LatticeFermion> CG(1.0e-8,10000);
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TwoFlavourPseudoFermionAction<LatticeLorentzColourMatrix, LatticeColourMatrix,LatticeFermion>
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Pseudofermion(FermOp,CG,CG,Fine);
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//Collect actions
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ActionLevel Level1;
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Level1.push_back(&Waction);
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Level1.push_back(&Pseudofermion);
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ActionSet FullSet;
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FullSet.push_back(Level1);
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// Create integrator
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typedef LeapFrog IntegratorAlgorithm;// change here to change the algorithm
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IntegratorParameters MDpar(12,40,1.0);
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std::vector<int> rel ={1};
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Integrator<IntegratorAlgorithm> MDynamics(&Fine,MDpar, FullSet,rel);
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// Create HMC
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HMCparameters HMCpar;
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HybridMonteCarlo<IntegratorAlgorithm> HMC(HMCpar, MDynamics);
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HMC.evolve(U);
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}
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@ -48,17 +48,19 @@ int main (int argc, char ** argv)
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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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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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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(&Grid);
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LatticeColourMatrix forcemu(&Grid);
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LatticeGaugeField mom(&Grid);
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LatticeGaugeField Uprime(&Grid);
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@ -66,13 +68,26 @@ int main (int argc, char ** argv)
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SU3::GaussianLieAlgebraMatrix(pRNG, 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) =U[i](mu)+ mom[i](mu)*U[i](mu)*dt;
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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.DoubleStore(Dw.Umu,Uprime);
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Dw.M (phi,MphiPrime);
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@ -81,21 +96,75 @@ int main (int argc, char ** argv)
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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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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(&Grid); dS = zero;
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LatticeComplex dSmom(&Grid); dSmom = zero;
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LatticeComplex dSmom2(&Grid); 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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