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@ -15,7 +15,7 @@
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#ifndef INCLUDED_ALG_REMEZ_H
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#define INCLUDED_ALG_REMEZ_H
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#include <algorithms/approx/bigfloat_double.h>
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#include <algorithms/approx/bigfloat.h>
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#define JMAX 10000 //Maximum number of iterations of Newton's approximation
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#define SUM_MAX 10 // Maximum number of terms in exponential
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@ -1,5 +1,4 @@
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#include <Grid.h>
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namespace Grid {
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namespace QCD {
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@ -13,7 +12,6 @@ void DiracOptDhopSite(CartesianStencil &st,LatticeDoubledGaugeField &U,
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vHalfSpinColourVector Uchi;
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int offset,local,perm, ptype;
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// Xp
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int ss = sF;
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offset = st._offsets [Xp][ss];
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@ -18,7 +18,7 @@ namespace Grid{
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Pmu = zero;
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for(int mu=0;mu<Nd;mu++){
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SU3::GaussianLieAlgebraMatrix(pRNG, Pmu);
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pokeLorentz(P, Pmu, mu);
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PokeIndex<LorentzIndex>(P, Pmu, mu);
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}
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}
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212
lib/qcd/hmc/integrators/Integrator_base.h
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212
lib/qcd/hmc/integrators/Integrator_base.h
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@ -0,0 +1,212 @@
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//--------------------------------------------------------------------
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/*! @file Integrator_base.h
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* @brief Declaration of classes for the abstract Molecular Dynamics integrator
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*
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* @author Guido Cossu
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*/
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//--------------------------------------------------------------------
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#ifndef INTEGRATOR_INCLUDED
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#define INTEGRATOR_INCLUDED
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#include <memory>
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class Observer;
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/*! @brief Abstract base class for Molecular Dynamics management */
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namespace Grid{
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namespace QCD{
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typedef Action<LatticeLorentzColourMatrix>* ActPtr; // now force the same size as the rest of the code
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typedef std::vector<ActPtr> ActionLevel;
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typedef std::vector<ActionLevel> ActionSet;
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typedef std::vector<Observer*> ObserverList;
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class LeapFrog;
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struct IntegratorParameters{
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int Nexp;
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int MDsteps; // number of outer steps
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RealD trajL; // trajectory length
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RealD stepsize;
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IntegratorParameters(int Nexp_,
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int MDsteps_,
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RealD trajL_):
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Nexp(Nexp_),MDsteps(MDsteps_),trajL(trajL_),stepsize(trajL/MDsteps){};
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};
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namespace MDutils{
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void generate_momenta(LatticeLorentzColourMatrix&,GridParallelRNG&);
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void generate_momenta_su3(LatticeLorentzColourMatrix&,GridParallelRNG&);
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}
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template< class IntegratorPolicy >
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class Integrator{
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private:
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IntegratorParameters Params;
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const ActionSet as;
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const std::vector<int> Nrel; //relative step size per level
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//ObserverList observers; // not yet
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std::unique_ptr<LatticeLorentzColourMatrix> P;
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IntegratorPolicy TheIntegrator;// contains parameters too
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void update_P(LatticeLorentzColourMatrix&U, int level,double ep){
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for(int a=0; a<as[level].size(); ++a){
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LatticeLorentzColourMatrix force(U._grid);
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as[level].at(a)->deriv(U,force);
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*P -= force*ep;
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}
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}
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void update_U(LatticeLorentzColourMatrix&U, double ep){
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//rewrite exponential to deal with the lorentz index?
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LatticeColourMatrix Umu(U._grid);
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LatticeColourMatrix Pmu(U._grid);
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for (int mu = 0; mu < Nd; mu++){
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Umu=PeekIndex<LorentzIndex>(U, mu);
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Pmu=PeekIndex<LorentzIndex>(*P, mu);
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Umu = expMat(Pmu, Complex(ep, 0.0))*Umu;
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}
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}
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void register_observers();
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void notify_observers();
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friend void IntegratorPolicy::step (LatticeLorentzColourMatrix& U,
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int level, std::vector<int>& clock,
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Integrator<LeapFrog>* Integ);
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public:
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Integrator(IntegratorParameters Par,
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ActionSet& Aset, std::vector<int> Nrel_):
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Params(Par),as(Aset),Nrel(Nrel_){
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assert(as.size() == Nrel.size());
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};
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~Integrator(){}
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//Initialization of momenta and actions
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void init(LatticeLorentzColourMatrix& U,
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GridParallelRNG& pRNG){
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std::cout<< "Integrator init\n";
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if (!P)
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P = new LatticeLorentzColourMatrix(U._grid);
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MDutils::generate_momenta(*P,pRNG);
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for(int level=0; level< as.size(); ++level){
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for(int actionID=0; actionID<as.at(level).size(); ++actionID){
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as[level].at(actionID)->init(U, pRNG);
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}
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}
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}
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RealD S(LatticeLorentzColourMatrix& U){
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// Momenta
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LatticeComplex Hloc = - trace((*P)*adj(*P));
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Complex Hsum = sum(Hloc);
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RealD H = Hsum.real();
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// Actions
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for(int level=0; level<as.size(); ++level)
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for(int actionID=0; actionID<as.at(level).size(); ++actionID)
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H += as[level].at(actionID)->S(U);
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return H;
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}
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void integrate(LatticeLorentzColourMatrix& U, int level){
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std::vector<int> clock;
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clock.resize(as.size(),0);
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for(int step=0; step< Params.MDsteps; ++step) // MD step
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TheIntegrator.step(U,0,clock, *(this));
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}
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};
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class MinimumNorm2{
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const double lambda = 0.1931833275037836;
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public:
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void step (LatticeLorentzColourMatrix& U, int level, std::vector<int>& clock);
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};
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class LeapFrog{
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public:
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void step (LatticeLorentzColourMatrix& U,
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int level, std::vector<int>& clock,
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Integrator<LeapFrog>* Integ){
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// cl : current level
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// fl : final level
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// eps : current step size
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int fl = Integ->as.size() -1;
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double eps = Integ->Params.stepsize;
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// Get current level step size
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for(int l=0; l<=level; ++l) eps/= Integ->Nrel[l];
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int fin = 1;
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for(int l=0; l<=level; ++l) fin*= Integ->Nrel[l];
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fin = 2*Integ->Params.MDsteps*fin - 1;
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for(int e=0; e<Integ->Nrel[level]; ++e){
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if(clock[level] == 0){ // initial half step
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Integ->update_P(U, level,eps/2);
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++clock[level];
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for(int l=0; l<level;++l) std::cout<<" ";
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std::cout<<"P "<< 0.5*clock[level] <<std::endl;
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}
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if(level == fl){ // lowest level
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Integ->update_U(U, eps);
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for(int l=0; l<level;++l) std::cout<<" ";
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std::cout<<"U "<< 0.5*(clock[level]+1) <<std::endl;
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}else{ // recursive function call
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step(U, level+1,clock, Integ);
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}
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if(clock[level] == fin){ // final half step
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Integ->update_P(U, level,eps/2);
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++clock[level];
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for(int l=0; l<level;++l) std::cout<<" ";
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std::cout<<"P "<< 0.5*clock[level] <<std::endl;
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}else{ // bulk step
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Integ->update_P(U, level,eps);
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clock[level]+=2;
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for(int l=0; l<level;++l) std::cout<<" ";
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std::cout<<"P "<< 0.5*clock[level] <<std::endl;
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}
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}
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}
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};
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}
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}
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#endif//INTEGRATOR_INCLUDED
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pRNG.SeedFixedIntegers(seeds);
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random(pRNG,sqrtscale);
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sqrtscale = sqrtscale * adj(sqrtscale);// force real pos def
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scale = sqrtscale * sqrtscale;
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sqrtscale = real(sqrtscale)*3.0+0.5;// force real pos def
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scale = sqrtscale *sqrtscale; //scale should be bounded by 12.25
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//
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// sqrtscale = 2.0;
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// scale = 4.0;
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}
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// Support for coarsening to a multigrid
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void OpDiag (const Field &in, Field &out) {};
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@ -48,8 +52,18 @@ public:
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void ApplySqrt(const Field &in, Field &out){
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out = sqrtscale * in;
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}
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void ApplyInverse(const Field &in, Field &out){
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out = pow(scale,-1.0) * in;
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}
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};
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RealD InverseApproximation(RealD x){
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return 1.0/x;
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}
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RealD SqrtApproximation(RealD x){
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return std::sqrt(x);
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}
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int main (int argc, char ** argv)
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{
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@ -114,5 +128,22 @@ int main (int argc, char ** argv)
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error = summed - combined;
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std::cout << " summed-combined "<<norm2(error) <<std::endl;
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src=1.0;
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Chebyshev<LatticeFermion> Cheby(0.1,40.0,200,InverseApproximation);
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std::cout<<"Chebuy approx vector "<<std::endl;
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Cheby(Diagonal,src,combined);
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std::ofstream of("cheby");
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Cheby.csv(of);
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Diagonal.ApplyInverse(src,reference);
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error = reference - combined;
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std::cout << "Chebyshev inverse test "<<std::endl;
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std::cout << " Reference "<<norm2(reference)<<std::endl;
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std::cout << " combined "<<norm2(combined) <<std::endl;
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std::cout << " error "<<norm2(error) <<std::endl;
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Grid_finalize();
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}
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