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EvenOdd schur decomposed mpcdagmpc version of rhmc determinant.
dH is also small and plaquette looks right.
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Peter Boyle
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185
lib/qcd/action/pseudofermion/OneFlavourEvenOddRational.h
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185
lib/qcd/action/pseudofermion/OneFlavourEvenOddRational.h
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#ifndef QCD_PSEUDOFERMION_ONE_FLAVOUR_EVEN_ODD_RATIONAL_H
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#define QCD_PSEUDOFERMION_ONE_FLAVOUR_EVEN_ODD_RATIONAL_H
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namespace Grid{
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namespace QCD{
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///////////////////////////////////////
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// One flavour rational
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///////////////////////////////////////
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// S_f = chi^dag * N(Mpc^dag*Mpc)/D(Mpc^dag*Mpc) * chi
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//
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// Here, M is some operator
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// N and D makeup the rat. poly
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//
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template<class Impl>
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class OneFlavourEvenOddRationalPseudoFermionAction : public Action<typename Impl::GaugeField> {
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public:
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INHERIT_IMPL_TYPES(Impl);
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typedef OneFlavourRationalParams Params;
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Params param;
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MultiShiftFunction PowerHalf ;
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MultiShiftFunction PowerNegHalf;
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MultiShiftFunction PowerQuarter;
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MultiShiftFunction PowerNegQuarter;
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private:
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FermionOperator<Impl> & FermOp;// the basic operator
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// NOT using "Nroots"; IroIro is -- perhaps later, but this wasn't good for us historically
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// and hasenbusch works better
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FermionField PhiEven; // the pseudo fermion field for this trajectory
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FermionField PhiOdd; // the pseudo fermion field for this trajectory
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public:
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OneFlavourEvenOddRationalPseudoFermionAction(FermionOperator<Impl> &Op,
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Params & p ) : FermOp(Op),
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PhiEven(Op.FermionRedBlackGrid()),
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PhiOdd (Op.FermionRedBlackGrid()),
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param(p)
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{
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AlgRemez remez(param.lo,param.hi,param.precision);
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// MdagM^(+- 1/2)
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std::cout<<GridLogMessage << "Generating degree "<<param.degree<<" for x^(1/2)"<<std::endl;
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remez.generateApprox(param.degree,1,2);
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PowerHalf.Init(remez,param.tolerance,false);
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PowerNegHalf.Init(remez,param.tolerance,true);
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// MdagM^(+- 1/4)
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std::cout<<GridLogMessage << "Generating degree "<<param.degree<<" for x^(1/4)"<<std::endl;
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remez.generateApprox(param.degree,1,4);
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PowerQuarter.Init(remez,param.tolerance,false);
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PowerNegQuarter.Init(remez,param.tolerance,true);
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};
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virtual void init(const GaugeField &U, GridParallelRNG& pRNG) {
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// P(phi) = e^{- phi^dag (MpcdagMpc)^-1/2 phi}
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// = e^{- phi^dag (MpcdagMpc)^-1/4 (MpcdagMpc)^-1/4 phi}
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// Phi = MpcdagMpc^{1/4} eta
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//
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// P(eta) = e^{- eta^dag eta}
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//
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// e^{x^2/2 sig^2} => sig^2 = 0.5.
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//
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// So eta should be of width sig = 1/sqrt(2).
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RealD scale = std::sqrt(0.5);
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FermionField eta (FermOp.FermionGrid());
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FermionField etaOdd (FermOp.FermionRedBlackGrid());
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FermionField etaEven(FermOp.FermionRedBlackGrid());
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gaussian(pRNG,eta); eta=eta*scale;
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pickCheckerboard(Even,etaEven,eta);
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pickCheckerboard(Odd,etaOdd,eta);
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FermOp.ImportGauge(U);
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// mutishift CG
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SchurDifferentiableOperator<Impl> Mpc(FermOp);
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ConjugateGradientMultiShift<FermionField> msCG(param.MaxIter,PowerQuarter);
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msCG(Mpc,etaOdd,PhiOdd);
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//////////////////////////////////////////////////////
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// FIXME : Clover term not yet..
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//////////////////////////////////////////////////////
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assert(FermOp.ConstEE() == 1);
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PhiEven = zero;
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};
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//////////////////////////////////////////////////////
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// S = phi^dag (Mdag M)^-1/2 phi
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//////////////////////////////////////////////////////
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virtual RealD S(const GaugeField &U) {
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FermOp.ImportGauge(U);
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FermionField Y(FermOp.FermionRedBlackGrid());
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SchurDifferentiableOperator<Impl> Mpc(FermOp);
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ConjugateGradientMultiShift<FermionField> msCG(param.MaxIter,PowerNegQuarter);
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msCG(Mpc,PhiOdd,Y);
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RealD action = norm2(Y);
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std::cout << GridLogMessage << "Pseudofermion action FIXME -- is -1/4 solve or -1/2 solve faster??? "<<action<<std::endl;
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return action;
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};
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//////////////////////////////////////////////////////
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// Need
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// dS_f/dU = chi^dag d[N/D] chi
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//
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// N/D is expressed as partial fraction expansion:
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//
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// a0 + \sum_k ak/(M^dagM + bk)
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//
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// d[N/D] is then
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//
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// \sum_k -ak [M^dagM+bk]^{-1} [ dM^dag M + M^dag dM ] [M^dag M + bk]^{-1}
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//
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// Need
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// Mf Phi_k = [MdagM+bk]^{-1} Phi
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// Mf Phi = \sum_k ak [MdagM+bk]^{-1} Phi
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//
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// With these building blocks
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//
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// dS/dU = \sum_k -ak Mf Phi_k^dag [ dM^dag M + M^dag dM ] Mf Phi_k
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// S = innerprodReal(Phi,Mf Phi);
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//////////////////////////////////////////////////////
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virtual void deriv(const GaugeField &U,GaugeField & dSdU) {
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const int Npole = PowerNegHalf.poles.size();
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std::vector<FermionField> MPhi_k (Npole,FermOp.FermionRedBlackGrid());
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FermionField X(FermOp.FermionRedBlackGrid());
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FermionField Y(FermOp.FermionRedBlackGrid());
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GaugeField tmp(FermOp.GaugeGrid());
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FermOp.ImportGauge(U);
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SchurDifferentiableOperator<Impl> Mpc(FermOp);
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ConjugateGradientMultiShift<FermionField> msCG(param.MaxIter,PowerNegHalf);
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msCG(Mpc,PhiOdd,MPhi_k);
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dSdU = zero;
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for(int k=0;k<Npole;k++){
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RealD ak = PowerNegHalf.residues[k];
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X = MPhi_k[k];
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Mpc.Mpc(X,Y);
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Mpc.MpcDeriv (tmp , Y, X ); dSdU=dSdU+ak*tmp;
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Mpc.MpcDagDeriv(tmp , X, Y ); dSdU=dSdU+ak*tmp;
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}
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dSdU = Ta(dSdU);
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};
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};
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}
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}
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#endif
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55
tests/Test_rhmc_EOWilson1p1.cc
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55
tests/Test_rhmc_EOWilson1p1.cc
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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=-0.77;
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WilsonFermionR FermOp(U,Fine,RBFine,mass);
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// 1+1 flavour
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OneFlavourRationalParams Params(1.0e-4,64.0,1000,1.0e-6);
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OneFlavourEvenOddRationalPseudoFermionAction<WilsonImplR> WilsonNf1a(FermOp,Params);
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OneFlavourEvenOddRationalPseudoFermionAction<WilsonImplR> WilsonNf1b(FermOp,Params);
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//Collect actions
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ActionLevel Level1;
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Level1.push_back(&WilsonNf1a);
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Level1.push_back(&WilsonNf1b);
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Level1.push_back(&Waction);
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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 MinimumNorm2 IntegratorAlgorithm;// change here to change the algorithm
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IntegratorParameters MDpar(12,20,1.0);
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Integrator<IntegratorAlgorithm> MDynamics(&Fine,MDpar, FullSet);
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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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