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Move code into utils
This commit is contained in:
Azusa Yamaguchi
parent
f46a67ffb3
commit
2bc4d0a20e
@ -28,212 +28,6 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
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/* END LEGAL */
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#include <Grid/Grid.h>
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using namespace Grid;
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using namespace Grid::QCD;
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template <class Gimpl>
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class FourierAcceleratedGaugeFixer : public Gimpl {
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public:
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INHERIT_GIMPL_TYPES(Gimpl);
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typedef typename Gimpl::GaugeLinkField GaugeMat;
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typedef typename Gimpl::GaugeField GaugeLorentz;
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static void GaugeLinkToLieAlgebraField(const std::vector<GaugeMat> &U,std::vector<GaugeMat> &A) {
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for(int mu=0;mu<Nd;mu++){
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// ImplComplex cmi(0.0,-1.0);
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Complex cmi(0.0,-1.0);
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A[mu] = Ta(U[mu]) * cmi;
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}
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}
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static void DmuAmu(const std::vector<GaugeMat> &A,GaugeMat &dmuAmu) {
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dmuAmu=zero;
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for(int mu=0;mu<Nd;mu++){
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dmuAmu = dmuAmu + A[mu] - Cshift(A[mu],mu,-1);
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}
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}
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static void SteepestDescentGaugeFix(GaugeLorentz &Umu,Real & alpha,int maxiter,Real Omega_tol, Real Phi_tol) {
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GridBase *grid = Umu._grid;
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Real org_plaq =WilsonLoops<Gimpl>::avgPlaquette(Umu);
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Real org_link_trace=WilsonLoops<Gimpl>::linkTrace(Umu);
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Real old_trace = org_link_trace;
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Real trG;
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std::vector<GaugeMat> U(Nd,grid);
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GaugeMat dmuAmu(grid);
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for(int i=0;i<maxiter;i++){
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for(int mu=0;mu<Nd;mu++) U[mu]= PeekIndex<LorentzIndex>(Umu,mu);
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//trG = SteepestDescentStep(U,alpha,dmuAmu);
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trG = FourierAccelSteepestDescentStep(U,alpha,dmuAmu);
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for(int mu=0;mu<Nd;mu++) PokeIndex<LorentzIndex>(Umu,U[mu],mu);
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// Monitor progress and convergence test
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// infrequently to minimise cost overhead
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if ( i %20 == 0 ) {
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Real plaq =WilsonLoops<Gimpl>::avgPlaquette(Umu);
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Real link_trace=WilsonLoops<Gimpl>::linkTrace(Umu);
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std::cout << GridLogMessage << " Iteration "<<i<< " plaq= "<<plaq<< " dmuAmu " << norm2(dmuAmu)<< std::endl;
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Real Phi = 1.0 - old_trace / link_trace ;
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Real Omega= 1.0 - trG;
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std::cout << GridLogMessage << " Iteration "<<i<< " Phi= "<<Phi<< " Omega= " << Omega<< " trG " << trG <<std::endl;
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if ( (Omega < Omega_tol) && ( ::fabs(Phi) < Phi_tol) ) {
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std::cout << GridLogMessage << "Converged ! "<<std::endl;
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return;
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}
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old_trace = link_trace;
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}
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}
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};
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static Real SteepestDescentStep(std::vector<GaugeMat> &U,Real & alpha, GaugeMat & dmuAmu) {
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GridBase *grid = U[0]._grid;
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std::vector<GaugeMat> A(Nd,grid);
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GaugeMat g(grid);
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GaugeLinkToLieAlgebraField(U,A);
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ExpiAlphaDmuAmu(A,g,alpha,dmuAmu);
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Real vol = grid->gSites();
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Real trG = TensorRemove(sum(trace(g))).real()/vol/Nc;
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SU<Nc>::GaugeTransform(U,g);
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return trG;
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}
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static Real FourierAccelSteepestDescentStep(std::vector<GaugeMat> &U,Real & alpha, GaugeMat & dmuAmu) {
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GridBase *grid = U[0]._grid;
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Real vol = grid->gSites();
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FFT theFFT((GridCartesian *)grid);
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LatticeComplex Fp(grid);
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LatticeComplex psq(grid); psq=zero;
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LatticeComplex pmu(grid);
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LatticeComplex one(grid); one = Complex(1.0,0.0);
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GaugeMat g(grid);
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GaugeMat dmuAmu_p(grid);
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std::vector<GaugeMat> A(Nd,grid);
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GaugeLinkToLieAlgebraField(U,A);
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DmuAmu(A,dmuAmu);
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theFFT.FFT_all_dim(dmuAmu_p,dmuAmu,FFT::forward);
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//////////////////////////////////
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// Work out Fp = psq_max/ psq...
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//////////////////////////////////
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std::vector<int> latt_size = grid->GlobalDimensions();
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std::vector<int> coor(grid->_ndimension,0);
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for(int mu=0;mu<Nd;mu++) {
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Real TwoPiL = M_PI * 2.0/ latt_size[mu];
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LatticeCoordinate(pmu,mu);
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pmu = TwoPiL * pmu ;
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psq = psq + 4.0*sin(pmu*0.5)*sin(pmu*0.5);
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}
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Complex psqMax(16.0);
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Fp = psqMax*one/psq;
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/*
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static int once;
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if ( once == 0 ) {
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std::cout << " Fp " << Fp <<std::endl;
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once ++;
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}*/
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pokeSite(TComplex(1.0),Fp,coor);
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dmuAmu_p = dmuAmu_p * Fp;
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theFFT.FFT_all_dim(dmuAmu,dmuAmu_p,FFT::backward);
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GaugeMat ciadmam(grid);
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Complex cialpha(0.0,-alpha);
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ciadmam = dmuAmu*cialpha;
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SU<Nc>::taExp(ciadmam,g);
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Real trG = TensorRemove(sum(trace(g))).real()/vol/Nc;
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SU<Nc>::GaugeTransform(U,g);
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return trG;
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}
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static void ExpiAlphaDmuAmu(const std::vector<GaugeMat> &A,GaugeMat &g,Real & alpha, GaugeMat &dmuAmu) {
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GridBase *grid = g._grid;
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Complex cialpha(0.0,-alpha);
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GaugeMat ciadmam(grid);
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DmuAmu(A,dmuAmu);
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ciadmam = dmuAmu*cialpha;
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SU<Nc>::taExp(ciadmam,g);
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}
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/*
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////////////////////////////////////////////////////////////////
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// NB The FT for fields living on links has an extra phase in it
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// Could add these to the FFT class as a later task since this code
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// might be reused elsewhere ????
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////////////////////////////////////////////////////////////////
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static void InverseFourierTransformAmu(FFT &theFFT,const std::vector<GaugeMat> &Ap,std::vector<GaugeMat> &Ax) {
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GridBase * grid = theFFT.Grid();
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std::vector<int> latt_size = grid->GlobalDimensions();
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ComplexField pmu(grid);
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ComplexField pha(grid);
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GaugeMat Apha(grid);
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Complex ci(0.0,1.0);
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for(int mu=0;mu<Nd;mu++){
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Real TwoPiL = M_PI * 2.0/ latt_size[mu];
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LatticeCoordinate(pmu,mu);
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pmu = TwoPiL * pmu ;
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pha = exp(pmu * (0.5 *ci)); // e(ipmu/2) since Amu(x+mu/2)
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Apha = Ap[mu] * pha;
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theFFT.FFT_all_dim(Apha,Ax[mu],FFT::backward);
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}
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}
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static void FourierTransformAmu(FFT & theFFT,const std::vector<GaugeMat> &Ax,std::vector<GaugeMat> &Ap) {
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GridBase * grid = theFFT.Grid();
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std::vector<int> latt_size = grid->GlobalDimensions();
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ComplexField pmu(grid);
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ComplexField pha(grid);
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Complex ci(0.0,1.0);
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// Sign convention for FFTW calls:
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// A(x)= Sum_p e^ipx A(p) / V
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// A(p)= Sum_p e^-ipx A(x)
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for(int mu=0;mu<Nd;mu++){
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Real TwoPiL = M_PI * 2.0/ latt_size[mu];
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LatticeCoordinate(pmu,mu);
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pmu = TwoPiL * pmu ;
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pha = exp(-pmu * (0.5 *ci)); // e(+ipmu/2) since Amu(x+mu/2)
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theFFT.FFT_all_dim(Ax[mu],Ap[mu],FFT::backward);
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Ap[mu] = Ap[mu] * pha;
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}
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}
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*/
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};
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int main (int argc, char ** argv)
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{
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std::vector<int> seeds({1,2,3,4});
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@ -264,22 +58,24 @@ int main (int argc, char ** argv)
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std::cout<< "*****************************************************************" <<std::endl;
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LatticeGaugeField Umu(&GRID);
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LatticeGaugeField Urnd(&GRID);
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LatticeGaugeField Uorg(&GRID);
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LatticeColourMatrix g(&GRID); // Gauge xform
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SU3::ColdConfiguration(pRNG,Umu); // Unit gauge
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Uorg=Umu;
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Urnd=Umu;
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SU3::RandomGaugeTransform(pRNG,Urnd,g); // Unit gauge
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SU3::RandomGaugeTransform(pRNG,Umu,g); // Unit gauge
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Real plaq=WilsonLoops<PeriodicGimplR>::avgPlaquette(Umu);
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std::cout << " Initial plaquette "<<plaq << std::endl;
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Real alpha=0.1;
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FourierAcceleratedGaugeFixer<PeriodicGimplR>::SteepestDescentGaugeFix(Umu,alpha,10000,1.0e-10, 1.0e-10);
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Umu = Urnd;
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FourierAcceleratedGaugeFixer<PeriodicGimplR>::SteepestDescentGaugeFix(Umu,alpha,10000,1.0e-12, 1.0e-12,false);
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plaq=WilsonLoops<PeriodicGimplR>::avgPlaquette(Umu);
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std::cout << " Final plaquette "<<plaq << std::endl;
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@ -288,14 +84,28 @@ int main (int argc, char ** argv)
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std::cout << " Norm Difference "<< norm2(Uorg) << std::endl;
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// std::cout<< "*****************************************************************" <<std::endl;
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// std::cout<< "* Testing Fourier accelerated fixing *" <<std::endl;
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// std::cout<< "*****************************************************************" <<std::endl;
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std::cout<< "*****************************************************************" <<std::endl;
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std::cout<< "* Testing Fourier accelerated fixing *" <<std::endl;
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std::cout<< "*****************************************************************" <<std::endl;
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Umu=Urnd;
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FourierAcceleratedGaugeFixer<PeriodicGimplR>::SteepestDescentGaugeFix(Umu,alpha,10000,1.0e-12, 1.0e-12,true);
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// std::cout<< "*****************************************************************" <<std::endl;
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// std::cout<< "* Testing non-unit configuration *" <<std::endl;
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// std::cout<< "*****************************************************************" <<std::endl;
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plaq=WilsonLoops<PeriodicGimplR>::avgPlaquette(Umu);
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std::cout << " Final plaquette "<<plaq << std::endl;
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std::cout<< "*****************************************************************" <<std::endl;
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std::cout<< "* Testing non-unit configuration *" <<std::endl;
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std::cout<< "*****************************************************************" <<std::endl;
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SU3::HotConfiguration(pRNG,Umu); // Unit gauge
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plaq=WilsonLoops<PeriodicGimplR>::avgPlaquette(Umu);
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std::cout << " Initial plaquette "<<plaq << std::endl;
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FourierAcceleratedGaugeFixer<PeriodicGimplR>::SteepestDescentGaugeFix(Umu,alpha,10000,1.0e-12, 1.0e-12,true);
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plaq=WilsonLoops<PeriodicGimplR>::avgPlaquette(Umu);
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std::cout << " Final plaquette "<<plaq << std::endl;
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Grid_finalize();
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