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Move gfix into utils

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Azusa Yamaguchi
2017-06-08 22:22:23 +01:00
parent 1d0ca65e28
commit 70ab598c96
1 changed files with 188 additions and 0 deletions
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lib/qcd/utils/GaugeFix.h Normal file
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/*************************************************************************************
grid` physics library, www.github.com/paboyle/Grid
Copyright (C) 2015
Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
Author: Peter Boyle <paboyle@ph.ed.ac.uk>
This program is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License along
with this program; if not, write to the Free Software Foundation, Inc.,
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
See the full license in the file "LICENSE" in the top level distribution directory
*************************************************************************************/
/* END LEGAL */
//#include <Grid/Grid.h>
using namespace Grid;
using namespace Grid::QCD;
template <class Gimpl>
class FourierAcceleratedGaugeFixer : public Gimpl {
public:
INHERIT_GIMPL_TYPES(Gimpl);
typedef typename Gimpl::GaugeLinkField GaugeMat;
typedef typename Gimpl::GaugeField GaugeLorentz;
static void GaugeLinkToLieAlgebraField(const std::vector<GaugeMat> &U,std::vector<GaugeMat> &A) {
for(int mu=0;mu<Nd;mu++){
Complex cmi(0.0,-1.0);
A[mu] = Ta(U[mu]) * cmi;
}
}
static void DmuAmu(const std::vector<GaugeMat> &A,GaugeMat &dmuAmu) {
dmuAmu=zero;
for(int mu=0;mu<Nd;mu++){
dmuAmu = dmuAmu + A[mu] - Cshift(A[mu],mu,-1);
}
}
static void SteepestDescentGaugeFix(GaugeLorentz &Umu,Real & alpha,int maxiter,Real Omega_tol, Real Phi_tol,bool Fourier=false) {
GridBase *grid = Umu._grid;
Real org_plaq =WilsonLoops<Gimpl>::avgPlaquette(Umu);
Real org_link_trace=WilsonLoops<Gimpl>::linkTrace(Umu);
Real old_trace = org_link_trace;
Real trG;
std::vector<GaugeMat> U(Nd,grid);
GaugeMat dmuAmu(grid);
for(int i=0;i<maxiter;i++){
for(int mu=0;mu<Nd;mu++) U[mu]= PeekIndex<LorentzIndex>(Umu,mu);
if ( Fourier==false ) {
trG = SteepestDescentStep(U,alpha,dmuAmu);
} else {
trG = FourierAccelSteepestDescentStep(U,alpha,dmuAmu);
}
for(int mu=0;mu<Nd;mu++) PokeIndex<LorentzIndex>(Umu,U[mu],mu);
// Monitor progress and convergence test
// infrequently to minimise cost overhead
if ( i %20 == 0 ) {
Real plaq =WilsonLoops<Gimpl>::avgPlaquette(Umu);
Real link_trace=WilsonLoops<Gimpl>::linkTrace(Umu);
if (Fourier)
std::cout << GridLogMessage << "Fourier Iteration "<<i<< " plaq= "<<plaq<< " dmuAmu " << norm2(dmuAmu)<< std::endl;
else
std::cout << GridLogMessage << " Iteration "<<i<< " plaq= "<<plaq<< " dmuAmu " << norm2(dmuAmu)<< std::endl;
Real Phi = 1.0 - old_trace / link_trace ;
Real Omega= 1.0 - trG;
std::cout << GridLogMessage << " Iteration "<<i<< " Phi= "<<Phi<< " Omega= " << Omega<< " trG " << trG <<std::endl;
if ( (Omega < Omega_tol) && ( ::fabs(Phi) < Phi_tol) ) {
std::cout << GridLogMessage << "Converged ! "<<std::endl;
return;
}
old_trace = link_trace;
}
}
};
static Real SteepestDescentStep(std::vector<GaugeMat> &U,Real & alpha, GaugeMat & dmuAmu) {
GridBase *grid = U[0]._grid;
std::vector<GaugeMat> A(Nd,grid);
GaugeMat g(grid);
GaugeLinkToLieAlgebraField(U,A);
ExpiAlphaDmuAmu(A,g,alpha,dmuAmu);
Real vol = grid->gSites();
Real trG = TensorRemove(sum(trace(g))).real()/vol/Nc;
SU<Nc>::GaugeTransform(U,g);
return trG;
}
static Real FourierAccelSteepestDescentStep(std::vector<GaugeMat> &U,Real & alpha, GaugeMat & dmuAmu) {
GridBase *grid = U[0]._grid;
Real vol = grid->gSites();
FFT theFFT((GridCartesian *)grid);
LatticeComplex Fp(grid);
LatticeComplex psq(grid); psq=zero;
LatticeComplex pmu(grid);
LatticeComplex one(grid); one = Complex(1.0,0.0);
GaugeMat g(grid);
GaugeMat dmuAmu_p(grid);
std::vector<GaugeMat> A(Nd,grid);
GaugeLinkToLieAlgebraField(U,A);
DmuAmu(A,dmuAmu);
theFFT.FFT_all_dim(dmuAmu_p,dmuAmu,FFT::forward);
//////////////////////////////////
// Work out Fp = psq_max/ psq...
//////////////////////////////////
std::vector<int> latt_size = grid->GlobalDimensions();
std::vector<int> coor(grid->_ndimension,0);
for(int mu=0;mu<Nd;mu++) {
Real TwoPiL = M_PI * 2.0/ latt_size[mu];
LatticeCoordinate(pmu,mu);
pmu = TwoPiL * pmu ;
psq = psq + 4.0*sin(pmu*0.5)*sin(pmu*0.5);
}
Complex psqMax(16.0);
Fp = psqMax*one/psq;
/*
static int once;
if ( once == 0 ) {
std::cout << " Fp " << Fp <<std::endl;
once ++;
}*/
pokeSite(TComplex(1.0),Fp,coor);
dmuAmu_p = dmuAmu_p * Fp;
theFFT.FFT_all_dim(dmuAmu,dmuAmu_p,FFT::backward);
GaugeMat ciadmam(grid);
Complex cialpha(0.0,-alpha);
ciadmam = dmuAmu*cialpha;
SU<Nc>::taExp(ciadmam,g);
Real trG = TensorRemove(sum(trace(g))).real()/vol/Nc;
SU<Nc>::GaugeTransform(U,g);
return trG;
}
static void ExpiAlphaDmuAmu(const std::vector<GaugeMat> &A,GaugeMat &g,Real & alpha, GaugeMat &dmuAmu) {
GridBase *grid = g._grid;
Complex cialpha(0.0,-alpha);
GaugeMat ciadmam(grid);
DmuAmu(A,dmuAmu);
ciadmam = dmuAmu*cialpha;
SU<Nc>::taExp(ciadmam,g);
}
};