mirror of
https://github.com/paboyle/Grid.git
synced 2025-11-03 21:44:33 +00:00
Note:FFT shoud be GridFFT (Not change yet).
Gauge fix with FFt is added (tests/core)
This commit is contained in:
Azusa Yamaguchi
@@ -674,6 +674,37 @@ class SU {
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out += la;
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}
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}
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/*
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add GaugeTrans
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*/
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template<typename GaugeField,typename GaugeMat>
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static void GaugeTransform( GaugeField &Umu, GaugeMat &g){
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GridBase *grid = Umu._grid;
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conformable(grid,g._grid);
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GaugeMat U(grid);
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GaugeMat ag(grid); ag = adj(g);
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for(int mu=0;mu<Nd;mu++){
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U= PeekIndex<LorentzIndex>(Umu,mu);
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U = g*U*Cshift(ag, mu, 1);
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PokeIndex<LorentzIndex>(Umu,U,mu);
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}
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}
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template<typename GaugeMat>
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static void GaugeTransform( std::vector<GaugeMat> &U, GaugeMat &g){
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GridBase *grid = g._grid;
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GaugeMat ag(grid); ag = adj(g);
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for(int mu=0;mu<Nd;mu++){
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U[mu] = g*U[mu]*Cshift(ag, mu, 1);
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}
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}
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template<typename GaugeField,typename GaugeMat>
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static void RandomGaugeTransform(GridParallelRNG &pRNG, GaugeField &Umu, GaugeMat &g){
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LieRandomize(pRNG,g,1.0);
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GaugeTransform(Umu,g);
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}
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// Projects the algebra components a lattice matrix (of dimension ncol*ncol -1 )
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// inverse operation: FundamentalLieAlgebraMatrix
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@@ -441,6 +441,8 @@ int main (int argc, char ** argv)
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}
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{
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/*
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*
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typedef GaugeImplTypes<vComplexD, 1> QEDGimplTypesD;
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typedef Photon<QEDGimplTypesD> QEDGaction;
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@@ -450,6 +452,7 @@ int main (int argc, char ** argv)
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Maxwell.FreePropagator (Source,Prop);
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std::cout << " MaxwellFree propagator\n";
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*/
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}
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Grid_finalize();
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}
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301
tests/core/Test_fft_gfix.cc
Normal file
301
tests/core/Test_fft_gfix.cc
Normal file
@@ -0,0 +1,301 @@
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/*************************************************************************************
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grid` physics library, www.github.com/paboyle/Grid
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Source file: ./tests/Test_cshift.cc
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Copyright (C) 2015
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Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
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Author: Peter Boyle <paboyle@ph.ed.ac.uk>
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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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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License along
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with this program; if not, write to the Free Software Foundation, Inc.,
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51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
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See the full license in the file "LICENSE" in the top level distribution directory
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*************************************************************************************/
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/* END LEGAL */
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#include <Grid/Grid.h>
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#include <Grid/qcd/action/gauge/Photon.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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ComplexD 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,RealD & alpha,int maxiter,RealD Omega_tol, RealD Phi_tol) {
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GridBase *grid = Umu._grid;
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RealD org_plaq =WilsonLoops<Gimpl>::avgPlaquette(Umu);
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RealD org_link_trace=WilsonLoops<Gimpl>::linkTrace(Umu);
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RealD old_trace = org_link_trace;
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RealD 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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RealD plaq =WilsonLoops<Gimpl>::avgPlaquette(Umu);
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RealD 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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RealD Phi = 1.0 - old_trace / link_trace ;
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RealD 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 RealD SteepestDescentStep(std::vector<GaugeMat> &U,RealD & 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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RealD vol = grid->gSites();
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RealD 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 RealD FourierAccelSteepestDescentStep(std::vector<GaugeMat> &U,RealD & alpha, GaugeMat & dmuAmu) {
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GridBase *grid = U[0]._grid;
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RealD 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 = ComplexD(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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RealD 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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ComplexD psqMax(16.0);
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Fp = psqMax*one/psq;
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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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ComplexD cialpha(0.0,-alpha);
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ciadmam = dmuAmu*cialpha;
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SU<Nc>::taExp(ciadmam,g);
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RealD 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,RealD & alpha, GaugeMat &dmuAmu) {
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GridBase *grid = g._grid;
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ComplexD 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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ComplexD ci(0.0,1.0);
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for(int mu=0;mu<Nd;mu++){
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RealD 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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ComplexD 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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RealD 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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Grid_init(&argc,&argv);
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int threads = GridThread::GetThreads();
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std::vector<int> latt_size = GridDefaultLatt();
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std::vector<int> simd_layout( { vComplexD::Nsimd(),1,1,1});
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std::vector<int> mpi_layout = GridDefaultMpi();
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int vol = 1;
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for(int d=0;d<latt_size.size();d++){
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vol = vol * latt_size[d];
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}
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GridCartesian GRID(latt_size,simd_layout,mpi_layout);
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GridSerialRNG sRNG; sRNG.SeedFixedIntegers(seeds); // naughty seeding
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GridParallelRNG pRNG(&GRID); pRNG.SeedFixedIntegers(seeds);
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FFT theFFT(&GRID);
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std::cout<<GridLogMessage << "Grid is setup to use "<<threads<<" threads"<<std::endl;
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std::cout<< "*****************************************************************" <<std::endl;
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std::cout<< "* Testing we can gauge fix steep descent a RGT of Unit gauge *" <<std::endl;
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std::cout<< "*****************************************************************" <<std::endl;
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LatticeGaugeFieldD Umu(&GRID);
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LatticeGaugeFieldD Uorg(&GRID);
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LatticeColourMatrixD g(&GRID); // Gauge xform
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SU3::ColdConfiguration(pRNG,Umu); // Unit gauge
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Uorg=Umu;
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SU3::RandomGaugeTransform(pRNG,Umu,g); // Unit gauge
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RealD plaq=WilsonLoops<PeriodicGimplD>::avgPlaquette(Umu);
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std::cout << " Initial plaquette "<<plaq << std::endl;
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RealD alpha=0.1;
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FourierAcceleratedGaugeFixer<PeriodicGimplD>::SteepestDescentGaugeFix(Umu,alpha,10000,1.0e-10, 1.0e-10);
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plaq=WilsonLoops<PeriodicGimplD>::avgPlaquette(Umu);
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std::cout << " Final plaquette "<<plaq << std::endl;
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Uorg = Uorg - Umu;
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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 non-unit configuration *" <<std::endl;
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// std::cout<< "*****************************************************************" <<std::endl;
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Grid_finalize();
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}
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