mirror of
https://github.com/paboyle/Grid.git
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5b36a8af54
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
230 lines
9.9 KiB
C++
230 lines
9.9 KiB
C++
/*************************************************************************************
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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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using namespace Grid;
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template<typename Gimpl>
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void run(double alpha, bool do_fft_gfix){
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std::vector<int> seeds({1,2,3,4});
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int threads = GridThread::GetThreads();
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Coordinate latt_size = GridDefaultLatt();
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Coordinate simd_layout( { vComplex::Nsimd(),1,1,1});
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Coordinate 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<<GridLogMessage << "Using alpha=" << alpha << std::endl;
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// int coulomb_dir = -1;
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int coulomb_dir = Nd-1;
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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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LatticeGaugeField Utmp(&GRID);
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LatticeColourMatrix g(&GRID); // Gauge xform
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LatticeColourMatrix xform1(&GRID); // Gauge xform
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LatticeColourMatrix xform2(&GRID); // Gauge xform
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LatticeColourMatrix xform3(&GRID); // Gauge xform
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//#########################################################################################
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std::cout<< "*********************************************************************************************************" <<std::endl;
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std::cout<< "* Testing steepest descent fixing to Landau gauge with randomly transformed unit gauge configuration *" <<std::endl;
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std::cout<< "*********************************************************************************************************" <<std::endl;
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SU<Nc>::ColdConfiguration(pRNG,Umu); // Unit gauge
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Uorg=Umu;
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Real init_plaq=WilsonLoops<Gimpl>::avgPlaquette(Umu);
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std::cout << " Initial plaquette "<< init_plaq << std::endl;
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//Apply a random gauge transformation to the unit gauge config
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Urnd=Umu;
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SU<Nc>::RandomGaugeTransform<Gimpl>(pRNG,Urnd,g);
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//Gauge fix the randomly transformed field
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Umu = Urnd;
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FourierAcceleratedGaugeFixer<Gimpl>::SteepestDescentGaugeFix(Umu,xform1,alpha,10000,1.0e-12, 1.0e-12,false);
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// Check the gauge xform matrices
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Utmp=Urnd;
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SU<Nc>::GaugeTransform<Gimpl>(Utmp,xform1);
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Utmp = Utmp - Umu;
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std::cout << " Check the output gauge transformation matrices applied to the original field produce the xformed field "<< norm2(Utmp) << " (expect 0)" << std::endl;
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Real plaq=WilsonLoops<Gimpl>::avgPlaquette(Umu);
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std::cout << " Final plaquette "<<plaq << " diff " << plaq - init_plaq << " (expect 0)" << std::endl;
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Uorg = Uorg - Umu;
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std::cout << " Norm difference between a unit gauge configuration and the gauge fixed configuration "<< norm2(Uorg) << " (expect 0)" << std::endl;
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std::cout << " Norm of gauge fixed configuration "<< norm2(Umu) << std::endl;
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//#########################################################################################
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if(do_fft_gfix){
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std::cout<< "*************************************************************************************" <<std::endl;
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std::cout<< "* Testing Fourier accelerated fixing to Landau gauge with unit gauge configuration *" <<std::endl;
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std::cout<< "*************************************************************************************" <<std::endl;
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Umu=Urnd;
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FourierAcceleratedGaugeFixer<Gimpl>::SteepestDescentGaugeFix(Umu,xform2,alpha,10000,1.0e-12, 1.0e-12,true);
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Utmp=Urnd;
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SU<Nc>::GaugeTransform<Gimpl>(Utmp,xform2);
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Utmp = Utmp - Umu;
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std::cout << " Check the output gauge transformation matrices applied to the original field produce the xformed field "<< norm2(Utmp) << " (expect 0)" << std::endl;
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plaq=WilsonLoops<Gimpl>::avgPlaquette(Umu);
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std::cout << " Final plaquette "<<plaq << " diff " << plaq - init_plaq << " (expect 0)" << std::endl;
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}
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//#########################################################################################
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std::cout<< "******************************************************************************************" <<std::endl;
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std::cout<< "* Testing steepest descent fixing to Landau gauge with random configuration **" <<std::endl;
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std::cout<< "******************************************************************************************" <<std::endl;
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SU<Nc>::HotConfiguration(pRNG,Umu);
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init_plaq=WilsonLoops<Gimpl>::avgPlaquette(Umu);
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std::cout << " Initial plaquette "<< init_plaq << std::endl;
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FourierAcceleratedGaugeFixer<Gimpl>::SteepestDescentGaugeFix(Umu,alpha,10000,1.0e-12, 1.0e-12,false);
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plaq=WilsonLoops<Gimpl>::avgPlaquette(Umu);
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std::cout << " Final plaquette "<<plaq << " diff " << plaq - init_plaq << " (expect 0)" << std::endl;
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//#########################################################################################
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if(do_fft_gfix){
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std::cout<< "******************************************************************************************" <<std::endl;
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std::cout<< "* Testing Fourier accelerated fixing to Landau gauge with random configuration **" <<std::endl;
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std::cout<< "******************************************************************************************" <<std::endl;
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SU<Nc>::HotConfiguration(pRNG,Umu);
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init_plaq=WilsonLoops<Gimpl>::avgPlaquette(Umu);
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std::cout << " Initial plaquette "<< init_plaq << std::endl;
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FourierAcceleratedGaugeFixer<Gimpl>::SteepestDescentGaugeFix(Umu,alpha,10000,1.0e-12, 1.0e-12,true);
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plaq=WilsonLoops<Gimpl>::avgPlaquette(Umu);
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std::cout << " Final plaquette "<<plaq << " diff " << plaq - init_plaq << " (expect 0)" << std::endl;
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}
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//#########################################################################################
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std::cout<< "*******************************************************************************************" <<std::endl;
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std::cout<< "* Testing steepest descent fixing to coulomb gauge with random configuration *" <<std::endl;
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std::cout<< "*******************************************************************************************" <<std::endl;
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Umu=Urnd;
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SU<Nc>::HotConfiguration(pRNG,Umu);
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init_plaq=WilsonLoops<Gimpl>::avgPlaquette(Umu);
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std::cout << " Initial plaquette "<< init_plaq << std::endl;
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FourierAcceleratedGaugeFixer<Gimpl>::SteepestDescentGaugeFix(Umu,xform3,alpha,10000,1.0e-12, 1.0e-12,false,coulomb_dir);
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plaq=WilsonLoops<Gimpl>::avgPlaquette(Umu);
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std::cout << " Final plaquette "<<plaq << " diff " << plaq - init_plaq << " (expect 0)" << std::endl;
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//#########################################################################################
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if(do_fft_gfix){
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std::cout<< "*******************************************************************************************" <<std::endl;
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std::cout<< "* Testing Fourier accelerated fixing to coulomb gauge with random configuration *" <<std::endl;
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std::cout<< "*******************************************************************************************" <<std::endl;
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Umu=Urnd;
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SU<Nc>::HotConfiguration(pRNG,Umu);
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init_plaq=WilsonLoops<Gimpl>::avgPlaquette(Umu);
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std::cout << " Initial plaquette "<< init_plaq << std::endl;
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FourierAcceleratedGaugeFixer<Gimpl>::SteepestDescentGaugeFix(Umu,xform3,alpha,10000,1.0e-12, 1.0e-12,true,coulomb_dir);
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plaq=WilsonLoops<Gimpl>::avgPlaquette(Umu);
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std::cout << " Final plaquette "<<plaq << " diff " << plaq - init_plaq << " (expect 0)" << std::endl;
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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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Grid_init(&argc,&argv);
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double alpha=0.1; //step size
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std::string gimpl = "periodic";
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bool do_fft_gfix = true; //test fourier transformed gfix as well as steepest descent
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for(int i=1;i<argc;i++){
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std::string sarg(argv[i]);
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if(sarg == "--gimpl"){
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assert(i<argc-1 && "--gimpl option requires an argument");
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gimpl = argv[i+1];
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if(gimpl != "periodic" && gimpl != "conjugate")
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assert(0 && "Invalid gimpl");
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}else if(sarg == "--no-fft-gfix"){
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std::cout << "Not doing the Fourier accelerated gauge fixing tests" << std::endl;
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do_fft_gfix = false;
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}else if(sarg == "--alpha"){
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assert(i<argc-1 && "--alpha option requires an argument");
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std::istringstream ss(argv[i+1]); ss >> alpha;
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}
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}
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if(gimpl == "periodic"){
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std::cout << GridLogMessage << "Using periodic boundary condition" << std::endl;
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run<PeriodicGimplR>(alpha, do_fft_gfix);
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}else{
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std::vector<int> conjdirs = {1,1,0,0}; //test with 2 conjugate dirs and 2 not
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std::cout << GridLogMessage << "Using complex conjugate boundary conditions in dimensions ";
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for(int i=0;i<Nd;i++)
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if(conjdirs[i])
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std::cout << i << " ";
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std::cout << std::endl;
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ConjugateGimplR::setDirections(conjdirs);
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run<ConjugateGimplR>(alpha, do_fft_gfix);
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}
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Grid_finalize();
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}
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