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Added a CshiftLink function to the GaugeImplementations and boundary condition classes that offers a boundary aware C-shift

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Modified gauge fixing code to use CshiftLink internally such that the steepest descent algorithm is universal
Modified gauge transformation code to use CshiftLink for a universal definition
Improved comprehensibility of Test_fft_gfix and generalized to use either periodic or charge conjugation BCs based on cmdline option
Added cmdline options to Test_fft_gfix to tune alpha and optionally disable the Fourier acceleration tests
This commit is contained in:
Christopher Kelly
2021-07-12 17:13:40 -04:00
parent 75a1f85162
commit 5b36a8af54
5 changed files with 259 additions and 91 deletions
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185
tests/core/Test_fft_gfix.cc
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@ -29,14 +29,10 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
#include <Grid/Grid.h>
using namespace Grid;
;
int main (int argc, char ** argv)
{
template<typename Gimpl>
void run(double alpha, bool do_fft_gfix){
std::vector<int> seeds({1,2,3,4});
Grid_init(&argc,&argv);
int threads = GridThread::GetThreads();
Coordinate latt_size = GridDefaultLatt();
@ -55,10 +51,7 @@ int main (int argc, char ** argv)
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;
std::cout<<GridLogMessage << "Using alpha=" << alpha << std::endl;
// int coulomb_dir = -1;
int coulomb_dir = Nd-1;
@ -72,81 +65,165 @@ int main (int argc, char ** argv)
LatticeColourMatrix xform1(&GRID); // Gauge xform
LatticeColourMatrix xform2(&GRID); // Gauge xform
LatticeColourMatrix xform3(&GRID); // Gauge xform
//#########################################################################################
std::cout<< "*********************************************************************************************************" <<std::endl;
std::cout<< "* Testing steepest descent fixing to Landau gauge with randomly transformed unit gauge configuration *" <<std::endl;
std::cout<< "*********************************************************************************************************" <<std::endl;
SU<Nc>::ColdConfiguration(pRNG,Umu); // Unit gauge
Uorg=Umu;
Real init_plaq=WilsonLoops<Gimpl>::avgPlaquette(Umu);
std::cout << " Initial plaquette "<< init_plaq << std::endl;
//Apply a random gauge transformation to the unit gauge config
Urnd=Umu;
SU<Nc>::RandomGaugeTransform<Gimpl>(pRNG,Urnd,g);
SU<Nc>::RandomGaugeTransform(pRNG,Urnd,g); // Unit gauge
Real plaq=WilsonLoops<PeriodicGimplR>::avgPlaquette(Umu);
std::cout << " Initial plaquette "<<plaq << std::endl;
Real alpha=0.1;
//Gauge fix the randomly transformed field
Umu = Urnd;
FourierAcceleratedGaugeFixer<PeriodicGimplR>::SteepestDescentGaugeFix(Umu,xform1,alpha,10000,1.0e-12, 1.0e-12,false);
FourierAcceleratedGaugeFixer<Gimpl>::SteepestDescentGaugeFix(Umu,xform1,alpha,10000,1.0e-12, 1.0e-12,false);
// Check the gauge xform matrices
Utmp=Urnd;
SU<Nc>::GaugeTransform(Utmp,xform1);
SU<Nc>::GaugeTransform<Gimpl>(Utmp,xform1);
Utmp = Utmp - Umu;
std::cout << " Norm Difference of xformed gauge "<< norm2(Utmp) << std::endl;
std::cout << " Check the output gauge transformation matrices applied to the original field produce the xformed field "<< norm2(Utmp) << " (expect 0)" << std::endl;
plaq=WilsonLoops<PeriodicGimplR>::avgPlaquette(Umu);
std::cout << " Final plaquette "<<plaq << std::endl;
Real plaq=WilsonLoops<Gimpl>::avgPlaquette(Umu);
std::cout << " Final plaquette "<<plaq << " diff " << plaq - init_plaq << " (expect 0)" << std::endl;
Uorg = Uorg - Umu;
std::cout << " Norm Difference "<< norm2(Uorg) << std::endl;
std::cout << " Norm "<< norm2(Umu) << std::endl;
std::cout << " Norm difference between a unit gauge configuration and the gauge fixed configuration "<< norm2(Uorg) << " (expect 0)" << std::endl;
std::cout << " Norm of gauge fixed configuration "<< norm2(Umu) << std::endl;
//#########################################################################################
if(do_fft_gfix){
std::cout<< "*************************************************************************************" <<std::endl;
std::cout<< "* Testing Fourier accelerated fixing to Landau gauge with unit gauge configuration *" <<std::endl;
std::cout<< "*************************************************************************************" <<std::endl;
Umu=Urnd;
FourierAcceleratedGaugeFixer<Gimpl>::SteepestDescentGaugeFix(Umu,xform2,alpha,10000,1.0e-12, 1.0e-12,true);
Utmp=Urnd;
SU<Nc>::GaugeTransform<Gimpl>(Utmp,xform2);
Utmp = Utmp - Umu;
std::cout << " Check the output gauge transformation matrices applied to the original field produce the xformed field "<< norm2(Utmp) << " (expect 0)" << std::endl;
std::cout<< "*****************************************************************" <<std::endl;
std::cout<< "* Testing Fourier accelerated fixing *" <<std::endl;
std::cout<< "*****************************************************************" <<std::endl;
Umu=Urnd;
FourierAcceleratedGaugeFixer<PeriodicGimplR>::SteepestDescentGaugeFix(Umu,xform2,alpha,10000,1.0e-12, 1.0e-12,true);
plaq=WilsonLoops<Gimpl>::avgPlaquette(Umu);
std::cout << " Final plaquette "<<plaq << " diff " << plaq - init_plaq << " (expect 0)" << std::endl;
}
//#########################################################################################
Utmp=Urnd;
SU<Nc>::GaugeTransform(Utmp,xform2);
Utmp = Utmp - Umu;
std::cout << " Norm Difference of xformed gauge "<< norm2(Utmp) << std::endl;
std::cout<< "******************************************************************************************" <<std::endl;
std::cout<< "* Testing steepest descent fixing to Landau gauge with random configuration **" <<std::endl;
std::cout<< "******************************************************************************************" <<std::endl;
SU<Nc>::HotConfiguration(pRNG,Umu);
plaq=WilsonLoops<PeriodicGimplR>::avgPlaquette(Umu);
std::cout << " Final plaquette "<<plaq << std::endl;
init_plaq=WilsonLoops<Gimpl>::avgPlaquette(Umu);
std::cout << " Initial plaquette "<< init_plaq << std::endl;
std::cout<< "*****************************************************************" <<std::endl;
std::cout<< "* Testing non-unit configuration *" <<std::endl;
std::cout<< "*****************************************************************" <<std::endl;
FourierAcceleratedGaugeFixer<Gimpl>::SteepestDescentGaugeFix(Umu,alpha,10000,1.0e-12, 1.0e-12,false);
SU<Nc>::HotConfiguration(pRNG,Umu); // Unit gauge
plaq=WilsonLoops<Gimpl>::avgPlaquette(Umu);
std::cout << " Final plaquette "<<plaq << " diff " << plaq - init_plaq << " (expect 0)" << std::endl;
plaq=WilsonLoops<PeriodicGimplR>::avgPlaquette(Umu);
std::cout << " Initial plaquette "<<plaq << std::endl;
//#########################################################################################
if(do_fft_gfix){
std::cout<< "******************************************************************************************" <<std::endl;
std::cout<< "* Testing Fourier accelerated fixing to Landau gauge with random configuration **" <<std::endl;
std::cout<< "******************************************************************************************" <<std::endl;
FourierAcceleratedGaugeFixer<PeriodicGimplR>::SteepestDescentGaugeFix(Umu,alpha,10000,1.0e-12, 1.0e-12,true);
SU<Nc>::HotConfiguration(pRNG,Umu);
plaq=WilsonLoops<PeriodicGimplR>::avgPlaquette(Umu);
std::cout << " Final plaquette "<<plaq << std::endl;
init_plaq=WilsonLoops<Gimpl>::avgPlaquette(Umu);
std::cout << " Initial plaquette "<< init_plaq << std::endl;
std::cout<< "*****************************************************************" <<std::endl;
std::cout<< "* Testing Fourier accelerated fixing to coulomb gauge *" <<std::endl;
std::cout<< "*****************************************************************" <<std::endl;
FourierAcceleratedGaugeFixer<Gimpl>::SteepestDescentGaugeFix(Umu,alpha,10000,1.0e-12, 1.0e-12,true);
plaq=WilsonLoops<Gimpl>::avgPlaquette(Umu);
std::cout << " Final plaquette "<<plaq << " diff " << plaq - init_plaq << " (expect 0)" << std::endl;
}
//#########################################################################################
std::cout<< "*******************************************************************************************" <<std::endl;
std::cout<< "* Testing steepest descent fixing to coulomb gauge with random configuration *" <<std::endl;
std::cout<< "*******************************************************************************************" <<std::endl;
Umu=Urnd;
SU<Nc>::HotConfiguration(pRNG,Umu); // Unit gauge
SU<Nc>::HotConfiguration(pRNG,Umu);
plaq=WilsonLoops<PeriodicGimplR>::avgPlaquette(Umu);
std::cout << " Initial plaquette "<<plaq << std::endl;
init_plaq=WilsonLoops<Gimpl>::avgPlaquette(Umu);
std::cout << " Initial plaquette "<< init_plaq << std::endl;
FourierAcceleratedGaugeFixer<PeriodicGimplR>::SteepestDescentGaugeFix(Umu,xform3,alpha,10000,1.0e-12, 1.0e-12,true,coulomb_dir);
FourierAcceleratedGaugeFixer<Gimpl>::SteepestDescentGaugeFix(Umu,xform3,alpha,10000,1.0e-12, 1.0e-12,false,coulomb_dir);
std::cout << Umu<<std::endl;
plaq=WilsonLoops<Gimpl>::avgPlaquette(Umu);
std::cout << " Final plaquette "<<plaq << " diff " << plaq - init_plaq << " (expect 0)" << std::endl;
plaq=WilsonLoops<PeriodicGimplR>::avgPlaquette(Umu);
std::cout << " Final plaquette "<<plaq << std::endl;
//#########################################################################################
if(do_fft_gfix){
std::cout<< "*******************************************************************************************" <<std::endl;
std::cout<< "* Testing Fourier accelerated fixing to coulomb gauge with random configuration *" <<std::endl;
std::cout<< "*******************************************************************************************" <<std::endl;
Umu=Urnd;
SU<Nc>::HotConfiguration(pRNG,Umu);
init_plaq=WilsonLoops<Gimpl>::avgPlaquette(Umu);
std::cout << " Initial plaquette "<< init_plaq << std::endl;
FourierAcceleratedGaugeFixer<Gimpl>::SteepestDescentGaugeFix(Umu,xform3,alpha,10000,1.0e-12, 1.0e-12,true,coulomb_dir);
plaq=WilsonLoops<Gimpl>::avgPlaquette(Umu);
std::cout << " Final plaquette "<<plaq << " diff " << plaq - init_plaq << " (expect 0)" << std::endl;
}
}
int main (int argc, char ** argv)
{
Grid_init(&argc,&argv);
double alpha=0.1; //step size
std::string gimpl = "periodic";
bool do_fft_gfix = true; //test fourier transformed gfix as well as steepest descent
for(int i=1;i<argc;i++){
std::string sarg(argv[i]);
if(sarg == "--gimpl"){
assert(i<argc-1 && "--gimpl option requires an argument");
gimpl = argv[i+1];
if(gimpl != "periodic" && gimpl != "conjugate")
assert(0 && "Invalid gimpl");
}else if(sarg == "--no-fft-gfix"){
std::cout << "Not doing the Fourier accelerated gauge fixing tests" << std::endl;
do_fft_gfix = false;
}else if(sarg == "--alpha"){
assert(i<argc-1 && "--alpha option requires an argument");
std::istringstream ss(argv[i+1]); ss >> alpha;
}
}
if(gimpl == "periodic"){
std::cout << GridLogMessage << "Using periodic boundary condition" << std::endl;
run<PeriodicGimplR>(alpha, do_fft_gfix);
}else{
std::vector<int> conjdirs = {1,1,0,0}; //test with 2 conjugate dirs and 2 not
std::cout << GridLogMessage << "Using complex conjugate boundary conditions in dimensions ";
for(int i=0;i<Nd;i++)
if(conjdirs[i])
std::cout << i << " ";
std::cout << std::endl;
ConjugateGimplR::setDirections(conjdirs);
run<ConjugateGimplR>(alpha, do_fft_gfix);
}
Grid_finalize();
}