mirror of
https://github.com/paboyle/Grid.git
synced 2024-11-10 07:55:35 +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
parent
7c8f79b147
commit
bca861e112
@ -674,6 +674,37 @@ class SU {
|
||||
out += la;
|
||||
}
|
||||
}
|
||||
/*
|
||||
add GaugeTrans
|
||||
*/
|
||||
|
||||
template<typename GaugeField,typename GaugeMat>
|
||||
static void GaugeTransform( GaugeField &Umu, GaugeMat &g){
|
||||
GridBase *grid = Umu._grid;
|
||||
conformable(grid,g._grid);
|
||||
|
||||
GaugeMat U(grid);
|
||||
GaugeMat ag(grid); ag = adj(g);
|
||||
|
||||
for(int mu=0;mu<Nd;mu++){
|
||||
U= PeekIndex<LorentzIndex>(Umu,mu);
|
||||
U = g*U*Cshift(ag, mu, 1);
|
||||
PokeIndex<LorentzIndex>(Umu,U,mu);
|
||||
}
|
||||
}
|
||||
template<typename GaugeMat>
|
||||
static void GaugeTransform( std::vector<GaugeMat> &U, GaugeMat &g){
|
||||
GridBase *grid = g._grid;
|
||||
GaugeMat ag(grid); ag = adj(g);
|
||||
for(int mu=0;mu<Nd;mu++){
|
||||
U[mu] = g*U[mu]*Cshift(ag, mu, 1);
|
||||
}
|
||||
}
|
||||
template<typename GaugeField,typename GaugeMat>
|
||||
static void RandomGaugeTransform(GridParallelRNG &pRNG, GaugeField &Umu, GaugeMat &g){
|
||||
LieRandomize(pRNG,g,1.0);
|
||||
GaugeTransform(Umu,g);
|
||||
}
|
||||
|
||||
// Projects the algebra components a lattice matrix (of dimension ncol*ncol -1 )
|
||||
// inverse operation: FundamentalLieAlgebraMatrix
|
||||
|
||||
@ -522,4 +522,4 @@ typedef WilsonLoops<PeriodicGimplR> SU3WilsonLoops;
|
||||
}
|
||||
}
|
||||
|
||||
#endif
|
||||
#endif
|
||||
|
||||
@ -441,6 +441,8 @@ int main (int argc, char ** argv)
|
||||
}
|
||||
|
||||
{
|
||||
/*
|
||||
*
|
||||
typedef GaugeImplTypes<vComplexD, 1> QEDGimplTypesD;
|
||||
typedef Photon<QEDGimplTypesD> QEDGaction;
|
||||
|
||||
@ -450,6 +452,7 @@ int main (int argc, char ** argv)
|
||||
|
||||
Maxwell.FreePropagator (Source,Prop);
|
||||
std::cout << " MaxwellFree propagator\n";
|
||||
*/
|
||||
}
|
||||
Grid_finalize();
|
||||
}
|
||||
|
||||
301
tests/core/Test_fft_gfix.cc
Normal file
301
tests/core/Test_fft_gfix.cc
Normal file
@ -0,0 +1,301 @@
|
||||
/*************************************************************************************
|
||||
|
||||
grid` physics library, www.github.com/paboyle/Grid
|
||||
|
||||
Source file: ./tests/Test_cshift.cc
|
||||
|
||||
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>
|
||||
#include <Grid/qcd/action/gauge/Photon.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++){
|
||||
// ImplComplex cmi(0.0,-1.0);
|
||||
ComplexD 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,RealD & alpha,int maxiter,RealD Omega_tol, RealD Phi_tol) {
|
||||
GridBase *grid = Umu._grid;
|
||||
|
||||
RealD org_plaq =WilsonLoops<Gimpl>::avgPlaquette(Umu);
|
||||
RealD org_link_trace=WilsonLoops<Gimpl>::linkTrace(Umu);
|
||||
RealD old_trace = org_link_trace;
|
||||
RealD 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);
|
||||
//trG = SteepestDescentStep(U,alpha,dmuAmu);
|
||||
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 ) {
|
||||
RealD plaq =WilsonLoops<Gimpl>::avgPlaquette(Umu);
|
||||
RealD link_trace=WilsonLoops<Gimpl>::linkTrace(Umu);
|
||||
|
||||
std::cout << GridLogMessage << " Iteration "<<i<< " plaq= "<<plaq<< " dmuAmu " << norm2(dmuAmu)<< std::endl;
|
||||
|
||||
RealD Phi = 1.0 - old_trace / link_trace ;
|
||||
RealD 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 RealD SteepestDescentStep(std::vector<GaugeMat> &U,RealD & 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);
|
||||
|
||||
|
||||
RealD vol = grid->gSites();
|
||||
RealD trG = TensorRemove(sum(trace(g))).real()/vol/Nc;
|
||||
|
||||
SU<Nc>::GaugeTransform(U,g);
|
||||
|
||||
return trG;
|
||||
}
|
||||
|
||||
static RealD FourierAccelSteepestDescentStep(std::vector<GaugeMat> &U,RealD & alpha, GaugeMat & dmuAmu) {
|
||||
|
||||
GridBase *grid = U[0]._grid;
|
||||
|
||||
RealD vol = grid->gSites();
|
||||
|
||||
FFT theFFT((GridCartesian *)grid);
|
||||
|
||||
LatticeComplex Fp(grid);
|
||||
LatticeComplex psq(grid); psq=zero;
|
||||
LatticeComplex pmu(grid);
|
||||
LatticeComplex one(grid); one = ComplexD(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++) {
|
||||
|
||||
RealD 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);
|
||||
}
|
||||
|
||||
ComplexD 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);
|
||||
ComplexD cialpha(0.0,-alpha);
|
||||
ciadmam = dmuAmu*cialpha;
|
||||
SU<Nc>::taExp(ciadmam,g);
|
||||
|
||||
RealD 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,RealD & alpha, GaugeMat &dmuAmu) {
|
||||
GridBase *grid = g._grid;
|
||||
ComplexD cialpha(0.0,-alpha);
|
||||
GaugeMat ciadmam(grid);
|
||||
DmuAmu(A,dmuAmu);
|
||||
ciadmam = dmuAmu*cialpha;
|
||||
SU<Nc>::taExp(ciadmam,g);
|
||||
}
|
||||
/*
|
||||
////////////////////////////////////////////////////////////////
|
||||
// NB The FT for fields living on links has an extra phase in it
|
||||
// Could add these to the FFT class as a later task since this code
|
||||
// might be reused elsewhere ????
|
||||
////////////////////////////////////////////////////////////////
|
||||
static void InverseFourierTransformAmu(FFT &theFFT,const std::vector<GaugeMat> &Ap,std::vector<GaugeMat> &Ax) {
|
||||
GridBase * grid = theFFT.Grid();
|
||||
std::vector<int> latt_size = grid->GlobalDimensions();
|
||||
|
||||
ComplexField pmu(grid);
|
||||
ComplexField pha(grid);
|
||||
GaugeMat Apha(grid);
|
||||
|
||||
ComplexD ci(0.0,1.0);
|
||||
|
||||
for(int mu=0;mu<Nd;mu++){
|
||||
|
||||
RealD TwoPiL = M_PI * 2.0/ latt_size[mu];
|
||||
LatticeCoordinate(pmu,mu);
|
||||
pmu = TwoPiL * pmu ;
|
||||
pha = exp(pmu * (0.5 *ci)); // e(ipmu/2) since Amu(x+mu/2)
|
||||
|
||||
Apha = Ap[mu] * pha;
|
||||
|
||||
theFFT.FFT_all_dim(Apha,Ax[mu],FFT::backward);
|
||||
}
|
||||
}
|
||||
static void FourierTransformAmu(FFT & theFFT,const std::vector<GaugeMat> &Ax,std::vector<GaugeMat> &Ap) {
|
||||
GridBase * grid = theFFT.Grid();
|
||||
std::vector<int> latt_size = grid->GlobalDimensions();
|
||||
|
||||
ComplexField pmu(grid);
|
||||
ComplexField pha(grid);
|
||||
ComplexD ci(0.0,1.0);
|
||||
|
||||
// Sign convention for FFTW calls:
|
||||
// A(x)= Sum_p e^ipx A(p) / V
|
||||
// A(p)= Sum_p e^-ipx A(x)
|
||||
|
||||
for(int mu=0;mu<Nd;mu++){
|
||||
RealD TwoPiL = M_PI * 2.0/ latt_size[mu];
|
||||
LatticeCoordinate(pmu,mu);
|
||||
pmu = TwoPiL * pmu ;
|
||||
pha = exp(-pmu * (0.5 *ci)); // e(+ipmu/2) since Amu(x+mu/2)
|
||||
|
||||
theFFT.FFT_all_dim(Ax[mu],Ap[mu],FFT::backward);
|
||||
Ap[mu] = Ap[mu] * pha;
|
||||
}
|
||||
}
|
||||
*/
|
||||
};
|
||||
|
||||
int main (int argc, char ** argv)
|
||||
{
|
||||
std::vector<int> seeds({1,2,3,4});
|
||||
|
||||
Grid_init(&argc,&argv);
|
||||
|
||||
int threads = GridThread::GetThreads();
|
||||
|
||||
std::vector<int> latt_size = GridDefaultLatt();
|
||||
std::vector<int> simd_layout( { vComplexD::Nsimd(),1,1,1});
|
||||
std::vector<int> mpi_layout = GridDefaultMpi();
|
||||
|
||||
int vol = 1;
|
||||
for(int d=0;d<latt_size.size();d++){
|
||||
vol = vol * latt_size[d];
|
||||
}
|
||||
|
||||
GridCartesian GRID(latt_size,simd_layout,mpi_layout);
|
||||
GridSerialRNG sRNG; sRNG.SeedFixedIntegers(seeds); // naughty seeding
|
||||
GridParallelRNG pRNG(&GRID); pRNG.SeedFixedIntegers(seeds);
|
||||
|
||||
FFT theFFT(&GRID);
|
||||
|
||||
std::cout<<GridLogMessage << "Grid is setup to use "<<threads<<" threads"<<std::endl;
|
||||
|
||||
std::cout<< "*****************************************************************" <<std::endl;
|
||||
std::cout<< "* Testing we can gauge fix steep descent a RGT of Unit gauge *" <<std::endl;
|
||||
std::cout<< "*****************************************************************" <<std::endl;
|
||||
|
||||
LatticeGaugeFieldD Umu(&GRID);
|
||||
LatticeGaugeFieldD Uorg(&GRID);
|
||||
LatticeColourMatrixD g(&GRID); // Gauge xform
|
||||
|
||||
|
||||
SU3::ColdConfiguration(pRNG,Umu); // Unit gauge
|
||||
Uorg=Umu;
|
||||
|
||||
SU3::RandomGaugeTransform(pRNG,Umu,g); // Unit gauge
|
||||
RealD plaq=WilsonLoops<PeriodicGimplD>::avgPlaquette(Umu);
|
||||
std::cout << " Initial plaquette "<<plaq << std::endl;
|
||||
|
||||
|
||||
|
||||
RealD alpha=0.1;
|
||||
FourierAcceleratedGaugeFixer<PeriodicGimplD>::SteepestDescentGaugeFix(Umu,alpha,10000,1.0e-10, 1.0e-10);
|
||||
|
||||
|
||||
plaq=WilsonLoops<PeriodicGimplD>::avgPlaquette(Umu);
|
||||
std::cout << " Final plaquette "<<plaq << std::endl;
|
||||
|
||||
Uorg = Uorg - Umu;
|
||||
std::cout << " Norm Difference "<< norm2(Uorg) << std::endl;
|
||||
|
||||
|
||||
// std::cout<< "*****************************************************************" <<std::endl;
|
||||
// std::cout<< "* Testing Fourier accelerated fixing *" <<std::endl;
|
||||
// std::cout<< "*****************************************************************" <<std::endl;
|
||||
|
||||
// std::cout<< "*****************************************************************" <<std::endl;
|
||||
// std::cout<< "* Testing non-unit configuration *" <<std::endl;
|
||||
// std::cout<< "*****************************************************************" <<std::endl;
|
||||
|
||||
|
||||
|
||||
Grid_finalize();
|
||||
}
|
||||
Loading…
Reference in New Issue
Block a user