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F1 ensemble running with 96%~ acceptance etc..
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@ -58,21 +58,26 @@ namespace QCD{
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bool use_heatbath_forecasting;
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AbstractEOFAFermion<Impl>& Lop; // the basic LH operator
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AbstractEOFAFermion<Impl>& Rop; // the basic RH operator
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SchurRedBlackDiagMooeeSolve<FermionField> Solver;
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SchurRedBlackDiagMooeeSolve<FermionField> DerivativeSolver;
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SchurRedBlackDiagMooeeSolve<FermionField> SolverHB;
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SchurRedBlackDiagMooeeSolve<FermionField> SolverL;
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SchurRedBlackDiagMooeeSolve<FermionField> SolverR;
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SchurRedBlackDiagMooeeSolve<FermionField> DerivativeSolverL;
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SchurRedBlackDiagMooeeSolve<FermionField> DerivativeSolverR;
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FermionField Phi; // the pseudofermion field for this trajectory
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public:
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ExactOneFlavourRatioPseudoFermionAction(AbstractEOFAFermion<Impl>& _Lop,
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AbstractEOFAFermion<Impl>& _Rop,
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OperatorFunction<FermionField>& ActionCG,
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OperatorFunction<FermionField>& DerivCG,
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OperatorFunction<FermionField>& HeatbathCG,
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OperatorFunction<FermionField>& ActionCGL, OperatorFunction<FermionField>& ActionCGR,
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OperatorFunction<FermionField>& DerivCGL , OperatorFunction<FermionField>& DerivCGR,
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Params& p,
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bool use_fc=false) :
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Lop(_Lop),
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Rop(_Rop),
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Solver(ActionCG, false, true),
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DerivativeSolver(DerivCG, false, true),
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SolverHB(HeatbathCG,false,true),
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SolverL(ActionCGL, false, true), SolverR(ActionCGR, false, true),
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DerivativeSolverL(DerivCGL, false, true), DerivativeSolverR(DerivCGR, false, true),
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Phi(_Lop.FermionGrid()),
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param(p),
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use_heatbath_forecasting(use_fc)
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@ -109,6 +114,9 @@ namespace QCD{
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// We generate a Gaussian noise vector \eta, and then compute
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// \Phi = M_{\rm EOFA}^{-1/2} * \eta
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// using a rational approximation to the inverse square root
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//
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// As a check of rational require \Phi^dag M_{EOFA} \Phi == eta^dag M^-1/2^dag M M^-1/2 eta = eta^dag eta
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//
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virtual void refresh(const GaugeField& U, GridParallelRNG& pRNG)
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{
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Lop.ImportGauge(U);
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@ -129,7 +137,6 @@ namespace QCD{
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RealD scale = std::sqrt(0.5);
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gaussian(pRNG,eta);
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eta = eta * scale;
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printf("Heatbath source vector: <\\eta|\\eta> = %1.15e\n", norm2(eta));
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// \Phi = ( \alpha_{0} + \sum_{k=1}^{N_{p}} \alpha_{l} * \gamma_{l} ) * \eta
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RealD N(PowerNegHalf.norm);
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@ -150,11 +157,11 @@ namespace QCD{
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if(use_heatbath_forecasting){ // Forecast CG guess using solutions from previous poles
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Lop.Mdag(CG_src, Forecast_src);
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CG_soln = Forecast(Lop, Forecast_src, prev_solns);
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Solver(Lop, CG_src, CG_soln);
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SolverHB(Lop, CG_src, CG_soln);
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prev_solns.push_back(CG_soln);
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} else {
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CG_soln = zero; // Just use zero as the initial guess
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Solver(Lop, CG_src, CG_soln);
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SolverHB(Lop, CG_src, CG_soln);
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}
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Lop.Dtilde(CG_soln, tmp[0]); // We actually solved Cayley preconditioned system: transform back
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tmp[1] = tmp[1] + ( PowerNegHalf.residues[k]*gamma_l*gamma_l*Lop.k ) * tmp[0];
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@ -177,11 +184,11 @@ namespace QCD{
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if(use_heatbath_forecasting){
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Rop.Mdag(CG_src, Forecast_src);
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CG_soln = Forecast(Rop, Forecast_src, prev_solns);
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Solver(Rop, CG_src, CG_soln);
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SolverHB(Rop, CG_src, CG_soln);
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prev_solns.push_back(CG_soln);
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} else {
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CG_soln = zero;
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Solver(Rop, CG_src, CG_soln);
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SolverHB(Rop, CG_src, CG_soln);
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}
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Rop.Dtilde(CG_soln, tmp[0]); // We actually solved Cayley preconditioned system: transform back
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tmp[1] = tmp[1] - ( PowerNegHalf.residues[k]*gamma_l*gamma_l*Rop.k ) * tmp[0];
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@ -193,8 +200,47 @@ namespace QCD{
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// Reset shift coefficients for energy and force evals
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Lop.RefreshShiftCoefficients(0.0);
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Rop.RefreshShiftCoefficients(-1.0);
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// Bounds check
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RealD EtaDagEta = norm2(eta);
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// RealD PhiDagMPhi= norm2(eta);
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};
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void Meofa(const GaugeField& U,const FermionField &phi, FermionField & Mphi)
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{
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#if 0
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Lop.ImportGauge(U);
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Rop.ImportGauge(U);
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FermionField spProj_Phi(Lop.FermionGrid());
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FermionField mPhi(Lop.FermionGrid());
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std::vector<FermionField> tmp(2, Lop.FermionGrid());
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mPhi = phi;
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// LH term: S = S - k <\Phi| P_{-} \Omega_{-}^{\dagger} H(mf)^{-1} \Omega_{-} P_{-} |\Phi>
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spProj(Phi, spProj_Phi, -1, Lop.Ls);
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Lop.Omega(spProj_Phi, tmp[0], -1, 0);
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G5R5(tmp[1], tmp[0]);
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tmp[0] = zero;
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SolverL(Lop, tmp[1], tmp[0]);
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Lop.Dtilde(tmp[0], tmp[1]); // We actually solved Cayley preconditioned system: transform back
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Lop.Omega(tmp[1], tmp[0], -1, 1);
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mPhi = mPhi - Lop.k * innerProduct(spProj_Phi, tmp[0]).real();
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// RH term: S = S + k <\Phi| P_{+} \Omega_{+}^{\dagger} ( H(mb)
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// - \Delta_{+}(mf,mb) P_{+} )^{-1} \Omega_{-} P_{-} |\Phi>
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spProj(Phi, spProj_Phi, 1, Rop.Ls);
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Rop.Omega(spProj_Phi, tmp[0], 1, 0);
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G5R5(tmp[1], tmp[0]);
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tmp[0] = zero;
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SolverR(Rop, tmp[1], tmp[0]);
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Rop.Dtilde(tmp[0], tmp[1]);
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Rop.Omega(tmp[1], tmp[0], 1, 1);
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action += Rop.k * innerProduct(spProj_Phi, tmp[0]).real();
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#endif
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}
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// EOFA action: see Eqn. (10) of arXiv:1706.05843
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virtual RealD S(const GaugeField& U)
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{
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@ -212,7 +258,7 @@ namespace QCD{
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Lop.Omega(spProj_Phi, tmp[0], -1, 0);
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G5R5(tmp[1], tmp[0]);
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tmp[0] = zero;
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Solver(Lop, tmp[1], tmp[0]);
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SolverL(Lop, tmp[1], tmp[0]);
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Lop.Dtilde(tmp[0], tmp[1]); // We actually solved Cayley preconditioned system: transform back
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Lop.Omega(tmp[1], tmp[0], -1, 1);
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action -= Lop.k * innerProduct(spProj_Phi, tmp[0]).real();
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@ -223,7 +269,7 @@ namespace QCD{
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Rop.Omega(spProj_Phi, tmp[0], 1, 0);
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G5R5(tmp[1], tmp[0]);
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tmp[0] = zero;
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Solver(Rop, tmp[1], tmp[0]);
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SolverR(Rop, tmp[1], tmp[0]);
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Rop.Dtilde(tmp[0], tmp[1]);
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Rop.Omega(tmp[1], tmp[0], 1, 1);
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action += Rop.k * innerProduct(spProj_Phi, tmp[0]).real();
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@ -256,7 +302,7 @@ namespace QCD{
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Lop.Omega(spProj_Phi, Omega_spProj_Phi, -1, 0);
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G5R5(CG_src, Omega_spProj_Phi);
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spProj_Phi = zero;
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DerivativeSolver(Lop, CG_src, spProj_Phi);
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DerivativeSolverL(Lop, CG_src, spProj_Phi);
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Lop.Dtilde(spProj_Phi, Chi);
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G5R5(g5_R5_Chi, Chi);
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Lop.MDeriv(force, g5_R5_Chi, Chi, DaggerNo);
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@ -268,7 +314,7 @@ namespace QCD{
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Rop.Omega(spProj_Phi, Omega_spProj_Phi, 1, 0);
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G5R5(CG_src, Omega_spProj_Phi);
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spProj_Phi = zero;
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DerivativeSolver(Rop, CG_src, spProj_Phi);
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DerivativeSolverR(Rop, CG_src, spProj_Phi);
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Rop.Dtilde(spProj_Phi, Chi);
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G5R5(g5_R5_Chi, Chi);
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Lop.MDeriv(force, g5_R5_Chi, Chi, DaggerNo);
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@ -46,6 +46,7 @@ namespace Grid{
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OperatorFunction<FermionField> &DerivativeSolver;
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OperatorFunction<FermionField> &ActionSolver;
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OperatorFunction<FermionField> &HeatbathSolver;
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FermionField PhiOdd; // the pseudo fermion field for this trajectory
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FermionField PhiEven; // the pseudo fermion field for this trajectory
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@ -54,11 +55,18 @@ namespace Grid{
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TwoFlavourEvenOddRatioPseudoFermionAction(FermionOperator<Impl> &_NumOp,
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FermionOperator<Impl> &_DenOp,
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OperatorFunction<FermionField> & DS,
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OperatorFunction<FermionField> & AS) :
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OperatorFunction<FermionField> & AS ) :
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TwoFlavourEvenOddRatioPseudoFermionAction(_NumOp,_DenOp, DS,AS,AS) {};
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TwoFlavourEvenOddRatioPseudoFermionAction(FermionOperator<Impl> &_NumOp,
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FermionOperator<Impl> &_DenOp,
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OperatorFunction<FermionField> & DS,
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OperatorFunction<FermionField> & AS, OperatorFunction<FermionField> & HS) :
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NumOp(_NumOp),
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DenOp(_DenOp),
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DerivativeSolver(DS),
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ActionSolver(AS),
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HeatbathSolver(HS),
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PhiEven(_NumOp.FermionRedBlackGrid()),
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PhiOdd(_NumOp.FermionRedBlackGrid())
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{
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@ -111,7 +119,7 @@ namespace Grid{
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// Odd det factors
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Mpc.MpcDag(etaOdd,PhiOdd);
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tmp=zero;
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ActionSolver(Vpc,PhiOdd,tmp);
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HeatbathSolver(Vpc,PhiOdd,tmp);
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Vpc.Mpc(tmp,PhiOdd);
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// Even det factors
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