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https://github.com/paboyle/Grid.git
synced 2025-06-20 00:36:55 +01:00
Merge branch 'feature/dirichlet-gparity' into feature/dirichlet
This commit is contained in:
Peter Boyle
@ -99,7 +99,7 @@ public:
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// using wilson flow by default here
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WilsonFlow<PeriodicGimplR> WF(Pars.Smearing.steps, Pars.Smearing.step_size, Pars.Smearing.meas_interval);
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WF.smear_adaptive(Usmear, U, Pars.Smearing.maxTau);
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Real T0 = WF.energyDensityPlaquette(Usmear);
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Real T0 = WF.energyDensityPlaquette(Pars.Smearing.maxTau, Usmear);
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std::cout << GridLogMessage << std::setprecision(std::numeric_limits<Real>::digits10 + 1)
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<< "T0 : [ " << traj << " ] "<< T0 << std::endl;
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}
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@ -7,6 +7,7 @@ Source file: ./lib/qcd/modules/plaquette.h
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Copyright (C) 2017
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Author: Guido Cossu <guido.cossu@ed.ac.uk>
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Author: Christopher Kelly <ckelly@bnl.gov>
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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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@ -33,28 +34,44 @@ NAMESPACE_BEGIN(Grid);
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template <class Gimpl>
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class WilsonFlow: public Smear<Gimpl>{
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public:
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//Store generic measurements to take during smearing process using std::function
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typedef std::function<void(int, RealD, const typename Gimpl::GaugeField &)> FunctionType; //int: step, RealD: flow time, GaugeField : the gauge field
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private:
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unsigned int Nstep;
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unsigned int measure_interval;
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mutable RealD epsilon, taus;
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RealD epsilon; //for regular smearing this is the time step, for adaptive it is the initial time step
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std::vector< std::pair<int, FunctionType> > functions; //The int maps to the measurement frequency
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mutable WilsonGaugeAction<Gimpl> SG;
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void evolve_step(typename Gimpl::GaugeField&) const;
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void evolve_step_adaptive(typename Gimpl::GaugeField&, RealD);
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RealD tau(unsigned int t)const {return epsilon*(t+1.0); }
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//Evolve the gauge field by 1 step and update tau
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void evolve_step(typename Gimpl::GaugeField &U, RealD &tau) const;
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//Evolve the gauge field by 1 step and update tau and the current time step eps
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void evolve_step_adaptive(typename Gimpl::GaugeField&U, RealD &tau, RealD &eps, RealD maxTau) const;
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public:
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INHERIT_GIMPL_TYPES(Gimpl)
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void resetActions(){ functions.clear(); }
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void addMeasurement(int meas_interval, FunctionType meas){ functions.push_back({meas_interval, meas}); }
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//Set the class to perform the default measurements:
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//the plaquette energy density every step
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//the plaquette topological charge every 'topq_meas_interval' steps
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//and output to stdout
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void setDefaultMeasurements(int topq_meas_interval = 1);
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explicit WilsonFlow(unsigned int Nstep, RealD epsilon, unsigned int interval = 1):
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Nstep(Nstep),
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epsilon(epsilon),
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measure_interval(interval),
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SG(WilsonGaugeAction<Gimpl>(3.0)) {
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// WilsonGaugeAction with beta 3.0
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assert(epsilon > 0.0);
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LogMessage();
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setDefaultMeasurements(interval);
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}
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void LogMessage() {
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@ -73,9 +90,29 @@ public:
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// undefined for WilsonFlow
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}
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void smear_adaptive(GaugeField&, const GaugeField&, RealD maxTau);
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RealD energyDensityPlaquette(unsigned int step, const GaugeField& U) const;
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RealD energyDensityPlaquette(const GaugeField& U) const;
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void smear_adaptive(GaugeField&, const GaugeField&, RealD maxTau) const;
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//Compute t^2 <E(t)> for time t from the plaquette
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static RealD energyDensityPlaquette(const RealD t, const GaugeField& U);
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//Compute t^2 <E(t)> for time t from the 1x1 cloverleaf form
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//t is the Wilson flow time
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static RealD energyDensityCloverleaf(const RealD t, const GaugeField& U);
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//Evolve the gauge field by Nstep steps of epsilon and return the energy density computed every interval steps
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//The smeared field is output as V
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std::vector<RealD> flowMeasureEnergyDensityPlaquette(GaugeField &V, const GaugeField& U, int measure_interval = 1);
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//Version that does not return the smeared field
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std::vector<RealD> flowMeasureEnergyDensityPlaquette(const GaugeField& U, int measure_interval = 1);
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//Evolve the gauge field by Nstep steps of epsilon and return the Cloverleaf energy density computed every interval steps
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//The smeared field is output as V
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std::vector<RealD> flowMeasureEnergyDensityCloverleaf(GaugeField &V, const GaugeField& U, int measure_interval = 1);
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//Version that does not return the smeared field
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std::vector<RealD> flowMeasureEnergyDensityCloverleaf(const GaugeField& U, int measure_interval = 1);
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};
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@ -83,7 +120,7 @@ public:
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// Implementations
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////////////////////////////////////////////////////////////////////////////////
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template <class Gimpl>
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void WilsonFlow<Gimpl>::evolve_step(typename Gimpl::GaugeField &U) const{
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void WilsonFlow<Gimpl>::evolve_step(typename Gimpl::GaugeField &U, RealD &tau) const{
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GaugeField Z(U.Grid());
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GaugeField tmp(U.Grid());
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SG.deriv(U, Z);
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@ -99,12 +136,13 @@ void WilsonFlow<Gimpl>::evolve_step(typename Gimpl::GaugeField &U) const{
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SG.deriv(U, tmp); Z += tmp; // 4/3*(17/36*Z0 -8/9*Z1) +Z2
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Z *= 3.0/4.0; // Z = 17/36*Z0 -8/9*Z1 +3/4*Z2
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Gimpl::update_field(Z, U, -2.0*epsilon); // V(t+e) = exp(ep*Z)*W2
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tau += epsilon;
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}
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template <class Gimpl>
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void WilsonFlow<Gimpl>::evolve_step_adaptive(typename Gimpl::GaugeField &U, RealD maxTau) {
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if (maxTau - taus < epsilon){
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epsilon = maxTau-taus;
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void WilsonFlow<Gimpl>::evolve_step_adaptive(typename Gimpl::GaugeField &U, RealD &tau, RealD &eps, RealD maxTau) const{
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if (maxTau - tau < eps){
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eps = maxTau-tau;
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}
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//std::cout << GridLogMessage << "Integration epsilon : " << epsilon << std::endl;
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GaugeField Z(U.Grid());
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@ -114,95 +152,151 @@ void WilsonFlow<Gimpl>::evolve_step_adaptive(typename Gimpl::GaugeField &U, Real
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SG.deriv(U, Z);
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Zprime = -Z;
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Z *= 0.25; // Z0 = 1/4 * F(U)
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Gimpl::update_field(Z, U, -2.0*epsilon); // U = W1 = exp(ep*Z0)*W0
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Gimpl::update_field(Z, U, -2.0*eps); // U = W1 = exp(ep*Z0)*W0
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Z *= -17.0/8.0;
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SG.deriv(U, tmp); Z += tmp; // -17/32*Z0 +Z1
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Zprime += 2.0*tmp;
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Z *= 8.0/9.0; // Z = -17/36*Z0 +8/9*Z1
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Gimpl::update_field(Z, U, -2.0*epsilon); // U_= W2 = exp(ep*Z)*W1
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Gimpl::update_field(Z, U, -2.0*eps); // U_= W2 = exp(ep*Z)*W1
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Z *= -4.0/3.0;
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SG.deriv(U, tmp); Z += tmp; // 4/3*(17/36*Z0 -8/9*Z1) +Z2
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Z *= 3.0/4.0; // Z = 17/36*Z0 -8/9*Z1 +3/4*Z2
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Gimpl::update_field(Z, U, -2.0*epsilon); // V(t+e) = exp(ep*Z)*W2
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Gimpl::update_field(Z, U, -2.0*eps); // V(t+e) = exp(ep*Z)*W2
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// Ramos
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Gimpl::update_field(Zprime, Uprime, -2.0*epsilon); // V'(t+e) = exp(ep*Z')*W0
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Gimpl::update_field(Zprime, Uprime, -2.0*eps); // V'(t+e) = exp(ep*Z')*W0
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// Compute distance as norm^2 of the difference
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GaugeField diffU = U - Uprime;
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RealD diff = norm2(diffU);
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// adjust integration step
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taus += epsilon;
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tau += eps;
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//std::cout << GridLogMessage << "Adjusting integration step with distance: " << diff << std::endl;
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epsilon = epsilon*0.95*std::pow(1e-4/diff,1./3.);
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eps = eps*0.95*std::pow(1e-4/diff,1./3.);
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//std::cout << GridLogMessage << "New epsilon : " << epsilon << std::endl;
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}
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template <class Gimpl>
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RealD WilsonFlow<Gimpl>::energyDensityPlaquette(unsigned int step, const GaugeField& U) const {
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RealD td = tau(step);
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return 2.0 * td * td * SG.S(U)/U.Grid()->gSites();
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RealD WilsonFlow<Gimpl>::energyDensityPlaquette(const RealD t, const GaugeField& U){
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static WilsonGaugeAction<Gimpl> SG(3.0);
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return 2.0 * t * t * SG.S(U)/U.Grid()->gSites();
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}
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//Compute t^2 <E(t)> for time from the 1x1 cloverleaf form
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template <class Gimpl>
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RealD WilsonFlow<Gimpl>::energyDensityCloverleaf(const RealD t, const GaugeField& U){
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typedef typename Gimpl::GaugeLinkField GaugeMat;
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typedef typename Gimpl::GaugeField GaugeLorentz;
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assert(Nd == 4);
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//E = 1/2 tr( F_munu F_munu )
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//However as F_numu = -F_munu, only need to sum the trace of the squares of the following 6 field strengths:
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//F_01 F_02 F_03 F_12 F_13 F_23
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GaugeMat F(U.Grid());
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LatticeComplexD R(U.Grid());
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R = Zero();
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for(int mu=0;mu<3;mu++){
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for(int nu=mu+1;nu<4;nu++){
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WilsonLoops<Gimpl>::FieldStrength(F, U, mu, nu);
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R = R + trace(F*F);
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}
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}
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ComplexD out = sum(R);
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out = t*t*out / RealD(U.Grid()->gSites());
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return -real(out); //minus sign necessary for +ve energy
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}
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template <class Gimpl>
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std::vector<RealD> WilsonFlow<Gimpl>::flowMeasureEnergyDensityPlaquette(GaugeField &V, const GaugeField& U, int measure_interval){
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std::vector<RealD> out;
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resetActions();
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addMeasurement(measure_interval, [&out](int step, RealD t, const typename Gimpl::GaugeField &U){
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std::cout << GridLogMessage << "[WilsonFlow] Computing plaquette energy density for step " << step << std::endl;
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out.push_back( energyDensityPlaquette(t,U) );
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});
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smear(V,U);
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return out;
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}
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template <class Gimpl>
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RealD WilsonFlow<Gimpl>::energyDensityPlaquette(const GaugeField& U) const {
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return 2.0 * taus * taus * SG.S(U)/U.Grid()->gSites();
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std::vector<RealD> WilsonFlow<Gimpl>::flowMeasureEnergyDensityPlaquette(const GaugeField& U, int measure_interval){
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GaugeField V(U);
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return flowMeasureEnergyDensityPlaquette(V,U, measure_interval);
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}
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template <class Gimpl>
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std::vector<RealD> WilsonFlow<Gimpl>::flowMeasureEnergyDensityCloverleaf(GaugeField &V, const GaugeField& U, int measure_interval){
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std::vector<RealD> out;
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resetActions();
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addMeasurement(measure_interval, [&out](int step, RealD t, const typename Gimpl::GaugeField &U){
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std::cout << GridLogMessage << "[WilsonFlow] Computing Cloverleaf energy density for step " << step << std::endl;
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out.push_back( energyDensityCloverleaf(t,U) );
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});
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smear(V,U);
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return out;
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}
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template <class Gimpl>
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std::vector<RealD> WilsonFlow<Gimpl>::flowMeasureEnergyDensityCloverleaf(const GaugeField& U, int measure_interval){
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GaugeField V(U);
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return flowMeasureEnergyDensityCloverleaf(V,U, measure_interval);
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}
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//#define WF_TIMING
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template <class Gimpl>
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void WilsonFlow<Gimpl>::smear(GaugeField& out, const GaugeField& in) const {
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void WilsonFlow<Gimpl>::smear(GaugeField& out, const GaugeField& in) const{
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out = in;
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for (unsigned int step = 1; step <= Nstep; step++) {
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RealD taus = 0.;
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for (unsigned int step = 1; step <= Nstep; step++) { //step indicates the number of smearing steps applied at the time of measurement
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auto start = std::chrono::high_resolution_clock::now();
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evolve_step(out);
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evolve_step(out, taus);
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auto end = std::chrono::high_resolution_clock::now();
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std::chrono::duration<double> diff = end - start;
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#ifdef WF_TIMING
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std::cout << "Time to evolve " << diff.count() << " s\n";
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#endif
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std::cout << GridLogMessage << "[WilsonFlow] Energy density (plaq) : "
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<< step << " " << tau(step) << " "
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<< energyDensityPlaquette(step,out) << std::endl;
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if( step % measure_interval == 0){
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std::cout << GridLogMessage << "[WilsonFlow] Top. charge : "
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<< step << " "
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<< WilsonLoops<PeriodicGimplR>::TopologicalCharge(out) << std::endl;
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}
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//Perform measurements
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for(auto const &meas : functions)
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if( step % meas.first == 0 ) meas.second(step,taus,out);
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}
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}
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template <class Gimpl>
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void WilsonFlow<Gimpl>::smear_adaptive(GaugeField& out, const GaugeField& in, RealD maxTau){
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void WilsonFlow<Gimpl>::smear_adaptive(GaugeField& out, const GaugeField& in, RealD maxTau) const{
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out = in;
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taus = epsilon;
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RealD taus = 0.;
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RealD eps = epsilon;
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unsigned int step = 0;
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do{
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step++;
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//std::cout << GridLogMessage << "Evolution time :"<< taus << std::endl;
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evolve_step_adaptive(out, maxTau);
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std::cout << GridLogMessage << "[WilsonFlow] Energy density (plaq) : "
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<< step << " " << taus << " "
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<< energyDensityPlaquette(out) << std::endl;
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if( step % measure_interval == 0){
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std::cout << GridLogMessage << "[WilsonFlow] Top. charge : "
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<< step << " "
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<< WilsonLoops<PeriodicGimplR>::TopologicalCharge(out) << std::endl;
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}
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evolve_step_adaptive(out, taus, eps, maxTau);
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//Perform measurements
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for(auto const &meas : functions)
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if( step % meas.first == 0 ) meas.second(step,taus,out);
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} while (taus < maxTau);
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}
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template <class Gimpl>
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void WilsonFlow<Gimpl>::setDefaultMeasurements(int topq_meas_interval){
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addMeasurement(1, [](int step, RealD t, const typename Gimpl::GaugeField &U){
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std::cout << GridLogMessage << "[WilsonFlow] Energy density (plaq) : " << step << " " << t << " " << energyDensityPlaquette(t,U) << std::endl;
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});
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addMeasurement(topq_meas_interval, [](int step, RealD t, const typename Gimpl::GaugeField &U){
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std::cout << GridLogMessage << "[WilsonFlow] Top. charge : " << step << " " << WilsonLoops<Gimpl>::TopologicalCharge(U) << std::endl;
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});
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}
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NAMESPACE_END(Grid);
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Reference in New Issue
Block a user