2020-04-23 09:29:45 +01:00
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/*************************************************************************************
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Grid physics library, www.github.com/paboyle/Grid
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Source file: ./tests/Test_cayley_cg.cc
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Copyright (C) 2015
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Author: Peter Boyle <paboyle@ph.ed.ac.uk>
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Author: paboyle <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/fermion/Reconstruct5Dprop.h>
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using namespace std;
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using namespace Grid;
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template<class What>
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2021-01-23 12:41:48 +00:00
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void TestConserved(What & Ddwf,
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2020-04-23 09:29:45 +01:00
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LatticeGaugeField &Umu,
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GridCartesian * FGrid, GridRedBlackCartesian * FrbGrid,
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GridCartesian * UGrid, GridRedBlackCartesian * UrbGrid,
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RealD mass, RealD M5,
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GridParallelRNG *RNG4,
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2021-01-23 12:41:48 +00:00
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GridParallelRNG *RNG5,
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What *Ddwfrev=nullptr);
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2020-04-23 09:29:45 +01:00
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Gamma::Algebra Gmu [] = {
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Gamma::Algebra::GammaX,
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Gamma::Algebra::GammaY,
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Gamma::Algebra::GammaZ,
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Gamma::Algebra::GammaT,
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Gamma::Algebra::Gamma5
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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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int threads = GridThread::GetThreads();
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std::cout<<GridLogMessage << "Grid is setup to use "<<threads<<" threads"<<std::endl;
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const int Ls=10;
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2020-04-29 08:05:15 +01:00
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std::vector < ComplexD > omegas;
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std::vector < ComplexD > omegasrev(Ls);
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#if 1
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2020-04-23 09:29:45 +01:00
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omegas.push_back( std::complex<double>(1.45806438985048,-0) );
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omegas.push_back( std::complex<double>(0.830951166685955,-0) );
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omegas.push_back( std::complex<double>(0.341985020453729,-0) );
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omegas.push_back( std::complex<double>(0.126074299502912,-0) );
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2020-04-29 08:05:15 +01:00
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// omegas.push_back( std::complex<double>(0.0686324988446592,0.0550658530827402) );
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// omegas.push_back( std::complex<double>(0.0686324988446592,-0.0550658530827402) );
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omegas.push_back( std::complex<double>(0.0686324988446592,0));
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omegas.push_back( std::complex<double>(0.0686324988446592,0));
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2020-04-23 09:29:45 +01:00
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omegas.push_back( std::complex<double>(0.0990136651962626,-0) );
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omegas.push_back( std::complex<double>(0.21137902619029,-0) );
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omegas.push_back( std::complex<double>(0.542352409156791,-0) );
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omegas.push_back( std::complex<double>(1.18231318389348,-0) );
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2020-04-29 08:05:15 +01:00
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#else
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omegas.push_back( std::complex<double>(0.8,0.0));
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omegas.push_back( std::complex<double>(1.1,0.0));
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omegas.push_back( std::complex<double>(1.2,0.0));
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omegas.push_back( std::complex<double>(1.3,0.0));
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omegas.push_back( std::complex<double>(0.5,0.2));
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omegas.push_back( std::complex<double>(0.5,-0.2));
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omegas.push_back( std::complex<double>(0.8,0.0));
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omegas.push_back( std::complex<double>(1.1,0.0));
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omegas.push_back( std::complex<double>(1.2,0.0));
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omegas.push_back( std::complex<double>(1.3,0.0));
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#endif
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2020-04-23 09:29:45 +01:00
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GridCartesian * UGrid = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(),
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GridDefaultSimd(Nd,vComplex::Nsimd()),
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GridDefaultMpi());
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GridRedBlackCartesian * UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
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GridCartesian * FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid);
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GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGrid);
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GridCartesian * UGridF = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(),
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GridDefaultSimd(Nd,vComplexF::Nsimd()),
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GridDefaultMpi());
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GridRedBlackCartesian * UrbGridF = SpaceTimeGrid::makeFourDimRedBlackGrid(UGridF);
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GridCartesian * FGridF = SpaceTimeGrid::makeFiveDimGrid(Ls,UGridF);
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GridRedBlackCartesian * FrbGridF = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGridF);
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std::vector<int> seeds5({5,6,7,8});
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GridParallelRNG RNG5(FGrid); RNG5.SeedFixedIntegers(seeds5);
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2021-01-23 12:41:48 +00:00
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GridParallelRNG RNG4(UGrid);
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std::vector<int> seeds4({1,2,3,4}); RNG4.SeedFixedIntegers(seeds4);
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//const std::string seeds4{ "test-gauge-3000" }; RNG4.SeedUniqueString( seeds4 );
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2020-04-23 09:29:45 +01:00
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LatticeGaugeField Umu(UGrid);
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2020-12-14 16:06:10 +00:00
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if( argc > 1 && argv[1][0] != '-' )
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{
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std::cout<<GridLogMessage <<"Loading configuration from "<<argv[1]<<std::endl;
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FieldMetaData header;
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NerscIO::readConfiguration(Umu, header, argv[1]);
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}
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else
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{
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2021-01-23 12:41:48 +00:00
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std::cout<<GridLogMessage <<"Using hot configuration"<<std::endl;
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// SU<Nc>::ColdConfiguration(Umu);
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2021-01-22 02:39:41 +00:00
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SU<Nc>::HotConfiguration(RNG4,Umu);
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2020-12-14 16:06:10 +00:00
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}
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2020-04-23 09:29:45 +01:00
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2020-04-29 08:05:15 +01:00
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RealD mass=0.3;
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2020-04-23 09:29:45 +01:00
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RealD M5 =1.0;
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std::cout<<GridLogMessage <<"======================"<<std::endl;
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std::cout<<GridLogMessage <<"DomainWallFermion test"<<std::endl;
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std::cout<<GridLogMessage <<"======================"<<std::endl;
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2022-11-17 01:15:51 +00:00
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DomainWallFermionD Ddwf(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5);
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TestConserved<DomainWallFermionD>(Ddwf,Umu,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
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2020-04-23 09:29:45 +01:00
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RealD b=1.5;// Scale factor b+c=2, b-c=1
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RealD c=0.5;
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2020-04-29 08:05:15 +01:00
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// std::vector<ComplexD> gamma(Ls,ComplexD(1.0,0.0));
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2020-04-23 09:29:45 +01:00
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std::cout<<GridLogMessage <<"======================"<<std::endl;
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std::cout<<GridLogMessage <<"MobiusFermion test"<<std::endl;
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std::cout<<GridLogMessage <<"======================"<<std::endl;
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2022-11-17 01:15:51 +00:00
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MobiusFermionD Dmob(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5,b,c);
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TestConserved<MobiusFermionD>(Dmob,Umu,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
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2020-04-23 09:29:45 +01:00
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std::cout<<GridLogMessage <<"======================"<<std::endl;
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std::cout<<GridLogMessage <<"ScaledShamirFermion test"<<std::endl;
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std::cout<<GridLogMessage <<"======================"<<std::endl;
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2022-11-17 01:15:51 +00:00
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ScaledShamirFermionD Dsham(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5,2.0);
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TestConserved<ScaledShamirFermionD>(Dsham,Umu,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
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2020-04-23 09:29:45 +01:00
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std::cout<<GridLogMessage <<"======================"<<std::endl;
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std::cout<<GridLogMessage <<"ZMobiusFermion test"<<std::endl;
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std::cout<<GridLogMessage <<"======================"<<std::endl;
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2020-04-29 08:05:15 +01:00
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for(int s=0;s<Ls;s++) omegasrev[s]=conjugate(omegas[Ls-1-s]);
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// for(int s=0;s<Ls;s++) omegasrev[s]=omegas[Ls-1-s];
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2022-11-17 01:15:51 +00:00
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ZMobiusFermionD ZDmob(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5,omegas,b,c);
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ZMobiusFermionD ZDmobrev(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5,omegasrev,b,c);
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TestConserved<ZMobiusFermionD>(ZDmob,Umu,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5,&ZDmobrev);
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2020-04-23 09:29:45 +01:00
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Grid_finalize();
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}
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template<class Action>
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2021-01-23 12:41:48 +00:00
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void TestConserved(Action & Ddwf,
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2020-04-29 08:05:15 +01:00
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LatticeGaugeField &Umu,
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GridCartesian * FGrid, GridRedBlackCartesian * FrbGrid,
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GridCartesian * UGrid, GridRedBlackCartesian * UrbGrid,
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RealD mass, RealD M5,
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GridParallelRNG *RNG4,
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2021-01-23 12:41:48 +00:00
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GridParallelRNG *RNG5,
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Action * Ddwfrev)
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2020-04-23 09:29:45 +01:00
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{
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2021-01-23 12:41:48 +00:00
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LatticePropagator phys_src(UGrid);
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LatticePropagator seqsrc(FGrid);
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2020-04-23 09:29:45 +01:00
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LatticePropagator prop5(FGrid);
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LatticePropagator prop5rev(FGrid);
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LatticePropagator prop4(UGrid);
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LatticePropagator Axial_mu(UGrid);
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2020-04-29 08:05:15 +01:00
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LatticePropagator Vector_mu(UGrid);
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2020-04-23 09:29:45 +01:00
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LatticeComplex PA (UGrid);
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2020-04-29 08:05:15 +01:00
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LatticeComplex SV (UGrid);
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LatticeComplex VV (UGrid);
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2020-04-23 09:29:45 +01:00
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LatticeComplex PJ5q(UGrid);
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LatticeComplex PP (UGrid);
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LatticePropagator seqprop(UGrid);
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SpinColourMatrix kronecker; kronecker=1.0;
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Coordinate coor({0,0,0,0});
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phys_src=Zero();
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pokeSite(kronecker,phys_src,coor);
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2020-04-29 08:05:15 +01:00
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ConjugateGradient<LatticeFermion> CG(1.0e-16,100000);
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2021-01-23 12:41:48 +00:00
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SchurRedBlackDiagTwoSolve<LatticeFermion> schur(CG);
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ZeroGuesser<LatticeFermion> zpg;
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2020-04-23 09:29:45 +01:00
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for(int s=0;s<Nd;s++){
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for(int c=0;c<Nc;c++){
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LatticeFermion src4 (UGrid);
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PropToFerm<Action>(src4,phys_src,s,c);
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LatticeFermion src5 (FGrid);
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Ddwf.ImportPhysicalFermionSource(src4,src5);
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LatticeFermion result5(FGrid); result5=Zero();
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2021-01-23 12:41:48 +00:00
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schur(Ddwf,src5,result5,zpg);
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std::cout<<GridLogMessage<<"spin "<<s<<" color "<<c<<" norm2(sourc5d) "<<norm2(src5)
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<<" norm2(result5d) "<<norm2(result5)<<std::endl;
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2020-04-23 09:29:45 +01:00
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FermToProp<Action>(prop5,result5,s,c);
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LatticeFermion result4(UGrid);
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Ddwf.ExportPhysicalFermionSolution(result5,result4);
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FermToProp<Action>(prop4,result4,s,c);
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2021-01-23 12:41:48 +00:00
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if( Ddwfrev ) {
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Ddwfrev->ImportPhysicalFermionSource(src4,src5);
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result5 = Zero();
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schur(*Ddwfrev,src5,result5,zpg);
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}
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2020-04-23 09:29:45 +01:00
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FermToProp<Action>(prop5rev,result5,s,c);
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}
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}
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#if 1
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auto curr = Current::Axial;
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const int mu_J=Nd-1;
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#else
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auto curr = Current::Vector;
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const int mu_J=0;
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#endif
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const int t_J=0;
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LatticeComplex ph (UGrid); ph=1.0;
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2020-04-29 08:05:15 +01:00
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Ddwf.SeqConservedCurrent(prop5,
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seqsrc,
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phys_src,
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curr,
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mu_J,
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t_J,
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t_J,// whole lattice
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ph);
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2020-04-23 09:29:45 +01:00
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for(int s=0;s<Nd;s++){
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for(int c=0;c<Nc;c++){
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LatticeFermion src5 (FGrid);
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PropToFerm<Action>(src5,seqsrc,s,c);
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LatticeFermion result5(FGrid); result5=Zero();
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2021-01-23 12:41:48 +00:00
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schur(Ddwf,src5,result5,zpg);
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2020-04-23 09:29:45 +01:00
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LatticeFermion result4(UGrid);
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Ddwf.ExportPhysicalFermionSolution(result5,result4);
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FermToProp<Action>(seqprop,result4,s,c);
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}
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}
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Gamma g5(Gamma::Algebra::Gamma5);
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2020-04-29 08:05:15 +01:00
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Gamma gT(Gamma::Algebra::GammaT);
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2020-04-23 09:29:45 +01:00
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std::vector<TComplex> sumPA;
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2020-04-29 08:05:15 +01:00
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std::vector<TComplex> sumSV;
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std::vector<TComplex> sumVV;
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2020-04-23 09:29:45 +01:00
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std::vector<TComplex> sumPP;
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std::vector<TComplex> sumPJ5q;
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Ddwf.ContractConservedCurrent(prop5rev,prop5,Axial_mu,phys_src,Current::Axial,Tdir);
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2020-04-29 08:05:15 +01:00
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Ddwf.ContractConservedCurrent(prop5rev,prop5,Vector_mu,phys_src,Current::Vector,Tdir);
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2020-04-23 09:29:45 +01:00
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Ddwf.ContractJ5q(prop5,PJ5q);
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2021-01-23 12:41:48 +00:00
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PA = trace(g5*Axial_mu); // Pseudoscalar-Axial conserved current
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SV = trace(Vector_mu); // Scalar-Vector conserved current
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VV = trace(gT*Vector_mu); // (local) Vector-Vector conserved current
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PP = trace(adj(prop4)*prop4); // Pseudoscalar density
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2020-04-23 09:29:45 +01:00
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// Spatial sum
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sliceSum(PA,sumPA,Tdir);
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2020-04-29 08:05:15 +01:00
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sliceSum(SV,sumSV,Tdir);
|
|
|
|
sliceSum(VV,sumVV,Tdir);
|
2020-04-23 09:29:45 +01:00
|
|
|
sliceSum(PP,sumPP,Tdir);
|
|
|
|
sliceSum(PJ5q,sumPJ5q,Tdir);
|
|
|
|
|
2021-01-23 12:41:48 +00:00
|
|
|
const int Nt{static_cast<int>(sumPA.size())};
|
|
|
|
std::cout<<GridLogMessage<<"Vector Ward identity by timeslice (~ 0)"<<std::endl;
|
2020-04-29 08:05:15 +01:00
|
|
|
for(int t=0;t<Nt;t++){
|
2021-01-23 12:41:48 +00:00
|
|
|
std::cout<<GridLogMessage <<" t "<<t<<" SV "<<real(TensorRemove(sumSV[t]))<<" VV "<<real(TensorRemove(sumVV[t]))<<std::endl;
|
2020-04-29 08:05:15 +01:00
|
|
|
}
|
2021-01-23 12:41:48 +00:00
|
|
|
std::cout<<GridLogMessage<<"Axial Ward identity by timeslice (defect ~ 0)"<<std::endl;
|
2020-04-23 09:29:45 +01:00
|
|
|
for(int t=0;t<Nt;t++){
|
2021-01-23 12:41:48 +00:00
|
|
|
const RealD DmuPAmu{real(TensorRemove(sumPA[t]-sumPA[(t-1+Nt)%Nt]))};
|
|
|
|
std::cout<<GridLogMessage<<" t "<<t<<" DmuPAmu "<<DmuPAmu
|
|
|
|
<<" PP "<<real(TensorRemove(sumPP[t]))<<" PJ5q "<<real(TensorRemove(sumPJ5q[t]))
|
2022-11-17 01:15:51 +00:00
|
|
|
<<" Ward Identity defect " <<(DmuPAmu - 2.*real(TensorRemove(Ddwf.Mass()*sumPP[t] + sumPJ5q[t])))<<std::endl;
|
2020-04-23 09:29:45 +01:00
|
|
|
}
|
|
|
|
|
|
|
|
///////////////////////////////
|
|
|
|
// 3pt vs 2pt check
|
|
|
|
///////////////////////////////
|
|
|
|
{
|
|
|
|
Gamma::Algebra gA = (curr == Current::Axial) ? Gamma::Algebra::Gamma5 : Gamma::Algebra::Identity;
|
|
|
|
Gamma g(gA);
|
|
|
|
|
|
|
|
LatticePropagator cur(UGrid);
|
|
|
|
LatticePropagator tmp(UGrid);
|
|
|
|
LatticeComplex c(UGrid);
|
|
|
|
SpinColourMatrix qSite;
|
|
|
|
peekSite(qSite, seqprop, coor);
|
|
|
|
|
|
|
|
Complex test_S, test_V, check_S, check_V;
|
|
|
|
|
|
|
|
std::vector<TComplex> check_buf;
|
|
|
|
|
|
|
|
test_S = trace(qSite*g);
|
|
|
|
test_V = trace(qSite*g*Gamma::gmu[mu_J]);
|
|
|
|
|
|
|
|
Ddwf.ContractConservedCurrent(prop5rev,prop5,cur,phys_src,curr,mu_J);
|
|
|
|
|
|
|
|
c = trace(cur*g);
|
|
|
|
sliceSum(c, check_buf, Tp);
|
|
|
|
check_S = TensorRemove(check_buf[t_J]);
|
|
|
|
|
|
|
|
auto gmu=Gamma::gmu[mu_J];
|
|
|
|
c = trace(cur*g*gmu);
|
|
|
|
sliceSum(c, check_buf, Tp);
|
|
|
|
check_V = TensorRemove(check_buf[t_J]);
|
|
|
|
|
2020-04-29 08:05:15 +01:00
|
|
|
|
|
|
|
std::cout<<GridLogMessage << std::setprecision(14)<<"Test S = " << abs(test_S) << std::endl;
|
2020-04-23 09:29:45 +01:00
|
|
|
std::cout<<GridLogMessage << "Test V = " << abs(test_V) << std::endl;
|
|
|
|
std::cout<<GridLogMessage << "Check S = " << abs(check_S) << std::endl;
|
|
|
|
std::cout<<GridLogMessage << "Check V = " << abs(check_V) << std::endl;
|
|
|
|
|
|
|
|
// Check difference = 0
|
|
|
|
check_S = check_S - test_S;
|
|
|
|
check_V = check_V - test_V;
|
|
|
|
|
|
|
|
std::cout<<GridLogMessage << "Consistency check for sequential conserved " <<std::endl;
|
|
|
|
std::cout<<GridLogMessage << "Diff S = " << abs(check_S) << std::endl;
|
|
|
|
std::cout<<GridLogMessage << "Diff V = " << abs(check_V) << std::endl;
|
|
|
|
}
|
|
|
|
|
|
|
|
}
|
|
|
|
|
2020-04-29 08:05:15 +01:00
|
|
|
/*
|
|
|
|
#if 0
|
2020-04-23 09:29:45 +01:00
|
|
|
template<class Action>
|
|
|
|
void TestConserved1(Action & Ddwf, Action & Ddwfrev,
|
|
|
|
LatticeGaugeField &Umu,
|
|
|
|
GridCartesian * FGrid, GridRedBlackCartesian * FrbGrid,
|
|
|
|
GridCartesian * UGrid, GridRedBlackCartesian * UrbGrid,
|
|
|
|
RealD mass, RealD M5,
|
|
|
|
GridParallelRNG *RNG4,
|
|
|
|
GridParallelRNG *RNG5)
|
|
|
|
{
|
|
|
|
int Ls=Ddwf.Ls;
|
|
|
|
|
|
|
|
LatticePropagator phys_src(UGrid);
|
|
|
|
|
|
|
|
std::vector<LatticeColourMatrix> U(4,UGrid);
|
|
|
|
|
|
|
|
LatticePropagator prop5(FGrid);
|
|
|
|
LatticePropagator prop5rev(FGrid);
|
|
|
|
LatticePropagator prop4(UGrid);
|
|
|
|
LatticePropagator Axial_mu(UGrid);
|
|
|
|
LatticeComplex PA (UGrid);
|
|
|
|
LatticeComplex PAxyz(UGrid);
|
|
|
|
LatticeComplex PJ5q(UGrid);
|
|
|
|
LatticeComplex PP (UGrid);
|
|
|
|
std::vector<LatticePropagator> prop(Ls,UGrid);
|
|
|
|
std::vector<LatticePropagator> proprev(Ls,UGrid);
|
|
|
|
|
|
|
|
SpinColourMatrix kronecker; kronecker=1.0;
|
|
|
|
std::cout << kronecker << std::endl;
|
|
|
|
phys_src=Zero();
|
|
|
|
pokeSite(kronecker,phys_src,Coordinate({0,0,0,0}));
|
|
|
|
|
|
|
|
MdagMLinearOperator<Action,LatticeFermion> HermOp(Ddwf);
|
|
|
|
MdagMLinearOperator<Action,LatticeFermion> HermOprev(Ddwfrev);
|
|
|
|
ConjugateGradient<LatticeFermion> CG(1.0e-12,10000);
|
|
|
|
|
|
|
|
for(int s=0;s<Nd;s++){
|
|
|
|
for(int c=0;c<Nc;c++){
|
|
|
|
LatticeFermion src4 (UGrid);
|
|
|
|
PropToFerm<Action>(src4,phys_src,s,c);
|
|
|
|
|
|
|
|
LatticeFermion src5 (FGrid);
|
|
|
|
Ddwf.ImportPhysicalFermionSource(src4,src5);
|
|
|
|
|
|
|
|
LatticeFermion result5(FGrid); result5=Zero();
|
|
|
|
|
|
|
|
// CGNE
|
|
|
|
LatticeFermion Mdagsrc5 (FGrid);
|
|
|
|
Ddwf.Mdag(src5,Mdagsrc5);
|
|
|
|
CG(HermOp,Mdagsrc5,result5);
|
|
|
|
FermToProp<Action>(prop5,result5,s,c);
|
|
|
|
|
|
|
|
LatticeFermion result4(UGrid);
|
|
|
|
Ddwf.ExportPhysicalFermionSolution(result5,result4);
|
|
|
|
FermToProp<Action>(prop4,result4,s,c);
|
|
|
|
|
|
|
|
Ddwfrev.Mdag(src5,Mdagsrc5);
|
|
|
|
CG(HermOprev,Mdagsrc5,result5);
|
|
|
|
FermToProp<Action>(prop5rev,result5,s,c);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
for(int s=0;s<Ls;s++){
|
|
|
|
ExtractSlice(prop[s], prop5, s , 0);
|
|
|
|
ExtractSlice(proprev[s], prop5rev, s , 0);
|
|
|
|
}
|
|
|
|
|
|
|
|
Gamma g5(Gamma::Algebra::Gamma5);
|
|
|
|
LatticeComplex C(UGrid);
|
|
|
|
std::vector<LatticeComplex> PAmu(Nd,UGrid);
|
|
|
|
LatticePropagator p5d(UGrid);
|
|
|
|
LatticePropagator us_p5d(UGrid);
|
|
|
|
LatticePropagator gp5d(UGrid);
|
|
|
|
LatticePropagator gus_p5d(UGrid);
|
|
|
|
|
|
|
|
#define Pp(Q) (0.5*(Q+g5*Q))
|
|
|
|
#define Pm(Q) (0.5*(Q-g5*Q))
|
|
|
|
#define Q_4d(Q) (Pm((Q)[0]) + Pp((Q)[Ls-1]))
|
|
|
|
#define TopRowWithSource(Q) (phys_src + (1.0-mass)*Q_4d(Q))
|
|
|
|
|
|
|
|
std::vector<LatticePropagator> L_Q(Ls,UGrid); L_Q=proprev; // shorthand name
|
|
|
|
std::vector<LatticePropagator> R_Q(Ls,UGrid); R_Q=prop; // shorthand name
|
|
|
|
|
|
|
|
LatticePropagator L_TmLsGq0(UGrid);
|
|
|
|
LatticePropagator L_TmLsTmp(UGrid);
|
|
|
|
LatticePropagator R_TmLsGq0(UGrid);
|
|
|
|
LatticePropagator R_TmLsTmp(UGrid);
|
|
|
|
{
|
|
|
|
LatticePropagator TermA(UGrid);
|
|
|
|
LatticePropagator TermB(UGrid);
|
|
|
|
LatticePropagator TermC(UGrid);
|
|
|
|
LatticePropagator TermD(UGrid);
|
|
|
|
TermA = (Pp(Q_4d(L_Q)));
|
|
|
|
TermB = (Pm(Q_4d(L_Q)));
|
|
|
|
TermC = (Pm(TopRowWithSource(L_Q)));
|
|
|
|
TermD = (Pp(TopRowWithSource(L_Q)));
|
|
|
|
|
|
|
|
L_TmLsGq0 = (TermD - TermA + TermB);
|
|
|
|
L_TmLsTmp = (TermC - TermB + TermA);
|
|
|
|
|
|
|
|
TermA = (Pp(Q_4d(R_Q)));
|
|
|
|
TermB = (Pm(Q_4d(R_Q)));
|
|
|
|
TermC = (Pm(TopRowWithSource(R_Q)));
|
|
|
|
TermD = (Pp(TopRowWithSource(R_Q)));
|
|
|
|
|
|
|
|
R_TmLsGq0 = (TermD - TermA + TermB);
|
|
|
|
R_TmLsTmp = (TermC - TermB + TermA);
|
|
|
|
}
|
|
|
|
|
|
|
|
std::vector<LatticePropagator> R_TmLsGq(Ls,UGrid);
|
|
|
|
std::vector<LatticePropagator> L_TmLsGq(Ls,UGrid);
|
|
|
|
for(int s=0;s<Ls;s++){
|
|
|
|
R_TmLsGq[s] = (Pm((R_Q)[(s)]) + Pp((R_Q)[((s)-1+Ls)%Ls]));
|
|
|
|
L_TmLsGq[s] = (Pm((L_Q)[(s)]) + Pp((L_Q)[((s)-1+Ls)%Ls]));
|
|
|
|
}
|
|
|
|
|
|
|
|
for(int mu=0;mu<Nd;mu++){
|
|
|
|
PAmu[mu]=Zero();
|
|
|
|
Gamma gmu=Gamma(Gmu[mu]);
|
|
|
|
|
|
|
|
for(int s=0;s<Ls;s++){
|
|
|
|
|
|
|
|
int sp = (s+1)%Ls;
|
|
|
|
int sr = Ls-1-s;
|
|
|
|
int srp= (sr+1)%Ls;
|
|
|
|
|
|
|
|
// Mobius parameters
|
|
|
|
auto b=Ddwf.bs[s];
|
|
|
|
auto c=Ddwf.cs[s];
|
2020-04-29 08:05:15 +01:00
|
|
|
assert(Ddwfrev.bs[sr]==Ddwf.bs[s]);
|
|
|
|
assert(Ddwfrev.cs[sr]==Ddwf.cs[s]);
|
2020-04-23 09:29:45 +01:00
|
|
|
|
|
|
|
LatticePropagator tmp(UGrid);
|
|
|
|
|
|
|
|
if (s == 0) {
|
|
|
|
p5d =(b*Pm(L_TmLsGq[Ls-1])+ c*Pp(L_TmLsGq[Ls-1]) + b*Pp(L_TmLsTmp) + c*Pm(L_TmLsTmp ));
|
|
|
|
tmp =(b*Pm(R_TmLsGq0) + c*Pp(R_TmLsGq0 ) + b*Pp(R_TmLsGq[1]) + c*Pm(R_TmLsGq[1]));
|
|
|
|
us_p5d = peekLorentz(Umu,mu)*Cshift(tmp,mu,1);
|
|
|
|
} else if (s == Ls-1) {
|
|
|
|
p5d =(b*Pm(L_TmLsGq0) + c*Pp(L_TmLsGq0 ) + b*Pp(L_TmLsGq[1]) + c*Pm(L_TmLsGq[1]));
|
|
|
|
tmp =(b*Pm(R_TmLsGq[Ls-1])+ c*Pp(R_TmLsGq[Ls-1]) + b*Pp(R_TmLsTmp) + c*Pm(R_TmLsTmp ));
|
|
|
|
us_p5d = peekLorentz(Umu,mu)*Cshift(tmp,mu,1);
|
|
|
|
} else {
|
|
|
|
p5d =(b*Pm(L_TmLsGq[sr]) + c*Pp(L_TmLsGq[sr])+ b*Pp(L_TmLsGq[srp])+ c*Pm(L_TmLsGq[srp]));
|
|
|
|
tmp =(b*Pm(R_TmLsGq[s]) + c*Pp(R_TmLsGq[s]) + b*Pp(R_TmLsGq[sp ])+ c*Pm(R_TmLsGq[sp]));
|
|
|
|
us_p5d = peekLorentz(Umu,mu)*Cshift(tmp,mu,1);
|
|
|
|
}
|
|
|
|
|
|
|
|
gp5d=g5*p5d;
|
|
|
|
gus_p5d=gmu*us_p5d;
|
|
|
|
auto bpc = 0.5/(b+c);
|
|
|
|
C = bpc*localInnerProduct(gp5d,gus_p5d);
|
|
|
|
C-= bpc*localInnerProduct(gp5d,us_p5d);
|
|
|
|
|
|
|
|
if (s == 0) {
|
|
|
|
p5d =(b*Pm(R_TmLsGq0) + c*Pp(R_TmLsGq0 ) + b*Pp(R_TmLsGq[1]) + c*Pm(R_TmLsGq[1]));
|
|
|
|
tmp =(b*Pm(L_TmLsGq[Ls-1])+ c*Pp(L_TmLsGq[Ls-1]) + b*Pp(L_TmLsTmp) + c*Pm(L_TmLsTmp ));
|
|
|
|
us_p5d = peekLorentz(Umu,mu)*Cshift(tmp,mu,1);
|
|
|
|
} else if (s == Ls-1) {
|
|
|
|
p5d =(b*Pm(R_TmLsGq[Ls-1])+ c*Pp(R_TmLsGq[Ls-1]) + b*Pp(R_TmLsTmp) + c*Pm(R_TmLsTmp ));
|
|
|
|
tmp =(b*Pm(L_TmLsGq0) + c*Pp(L_TmLsGq0 ) + b*Pp(L_TmLsGq[1]) + c*Pm(L_TmLsGq[1]));
|
|
|
|
us_p5d = peekLorentz(Umu,mu)*Cshift(tmp,mu,1);
|
|
|
|
} else {
|
|
|
|
p5d =(b*Pm(R_TmLsGq[s]) + c*Pp(R_TmLsGq[s]) + b*Pp(R_TmLsGq[sp ])+ c*Pm(R_TmLsGq[sp]));
|
|
|
|
tmp =(b*Pm(L_TmLsGq[sr]) + c*Pp(L_TmLsGq[sr]) + b*Pp(L_TmLsGq[srp])+ c*Pm(L_TmLsGq[srp]));
|
|
|
|
us_p5d = peekLorentz(Umu,mu)*Cshift(tmp,mu,1);
|
|
|
|
}
|
|
|
|
|
|
|
|
gp5d=gmu*p5d;
|
|
|
|
gus_p5d=g5*us_p5d;
|
|
|
|
|
|
|
|
bpc = 0.5/(b+c);
|
|
|
|
C+= bpc*localInnerProduct(gus_p5d,gp5d);
|
|
|
|
C+= bpc*localInnerProduct(gus_p5d,p5d);
|
|
|
|
|
|
|
|
if (s < Ls/2) PAmu[mu] -= C;
|
|
|
|
else PAmu[mu] += C;
|
|
|
|
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
std::cout << "done "<<std::endl;
|
|
|
|
LatticePropagator psi(UGrid);
|
|
|
|
psi = (prop[Ls/2-1]+g5*prop[Ls/2-1] +prop[Ls/2] -g5*prop[Ls/2] )*0.5;
|
|
|
|
PJ5q=localInnerProduct(psi,psi);
|
|
|
|
std::cout << " J5qref "<<norm2(PJ5q)<<std::endl;
|
|
|
|
|
|
|
|
std::cout << " DmuAmu "<<std::endl;
|
|
|
|
LatticeComplex Defect(UGrid);
|
|
|
|
Defect = Zero();
|
|
|
|
for(int mu=0;mu<Nd;mu++) {
|
|
|
|
Defect = Defect + PAmu[mu]-Cshift(PAmu[mu],mu,-1);
|
|
|
|
}
|
|
|
|
Ddwf.ContractConservedCurrent(prop5rev,prop5,Axial_mu,phys_src,Current::Axial,Tdir);
|
|
|
|
PA = trace(g5*Axial_mu);
|
|
|
|
PP = trace(adj(prop4)*prop4);
|
|
|
|
|
2022-11-17 01:15:51 +00:00
|
|
|
Defect = Defect - 2.0*Ddwf.Mass()* PP;
|
2020-04-23 09:29:45 +01:00
|
|
|
Defect = Defect - 2.0*PJ5q;
|
|
|
|
|
|
|
|
std::vector<TComplex> sumPAref;
|
|
|
|
std::vector<TComplex> sumPA;
|
|
|
|
std::vector<TComplex> sumPP;
|
|
|
|
std::vector<TComplex> sumPJ5qref;
|
|
|
|
std::vector<TComplex> sumPJ5q;
|
|
|
|
std::vector<TComplex> sumDefect;
|
|
|
|
|
|
|
|
// Spatial sum
|
|
|
|
sliceSum(PAmu[Tdir],sumPAref,Tdir);
|
|
|
|
sliceSum(PA,sumPA,Tdir);
|
|
|
|
sliceSum(PJ5q,sumPJ5q,Tdir);
|
|
|
|
sliceSum(PP,sumPP,Tdir);
|
|
|
|
sliceSum(Defect,sumDefect,Tdir);
|
|
|
|
|
|
|
|
Ddwf.ContractJ5q(prop5,PJ5q);
|
|
|
|
sliceSum(PJ5q,sumPJ5qref,Tdir);
|
|
|
|
|
|
|
|
int Nt=sumPA.size();
|
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for(int t=0;t<Nt;t++){
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std::cout <<t<<" PAc reference "<<real(TensorRemove(sumPAref[t]));
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std::cout <<" PAc action "<<real(TensorRemove(sumPA[t]));
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std::cout <<" PJ5q ref "<<real(TensorRemove(sumPJ5qref[t]));
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std::cout <<" PJ5q action "<<real(TensorRemove(sumPJ5q[t]));
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2022-11-17 01:15:51 +00:00
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std::cout <<"WTI defects "<<real(TensorRemove(sumPAref[t]-sumPAref[(t-1+Nt)%Nt] - 2.0*(Ddwf.Mass()*sumPP[t] + sumPJ5q[t]) ))<<",";
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std::cout <<real(TensorRemove(sumPA[t]-sumPA[(t-1+Nt)%Nt] - 2.0*(Ddwf.Mass()*sumPP[t] + sumPJ5q[t]) ))<<"\n";
|
2020-04-23 09:29:45 +01:00
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}
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}
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2020-04-29 08:05:15 +01:00
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|
#endif
|
2020-04-23 09:29:45 +01:00
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// Verify solution with independent true residual
|
|
|
|
LatticeGaugeField Umu5d(FGrid);
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|
|
|
std::vector<LatticeColourMatrix> U(4,FGrid);
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|
|
|
{
|
2020-06-05 23:52:35 +01:00
|
|
|
autoView( Umu5d_v , Umu5d, CpuWrite);
|
|
|
|
autoView( Umu_v , Umu , CpuRead);
|
2020-04-23 09:29:45 +01:00
|
|
|
for(int ss=0;ss<Umu.Grid()->oSites();ss++){
|
|
|
|
for(int s=0;s<Ls;s++){
|
|
|
|
Umu5d_v[Ls*ss+s] = Umu_v[ss];
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
for(int mu=0;mu<Nd;mu++){
|
|
|
|
U[mu] = PeekIndex<LorentzIndex>(Umu5d,mu);
|
|
|
|
}
|
|
|
|
LatticeFermion ref(FGrid);
|
|
|
|
LatticeFermion tmp(FGrid);
|
|
|
|
ref = Zero();
|
|
|
|
for(int mu=0;mu<Nd;mu++){
|
|
|
|
tmp = U[mu]*Cshift(result5,mu+1,1);
|
|
|
|
ref=ref + tmp - Gamma(Gmu[mu])*tmp;
|
|
|
|
|
|
|
|
tmp =adj(U[mu])*result5;
|
|
|
|
tmp =Cshift(tmp,mu+1,-1);
|
|
|
|
ref=ref + tmp + Gamma(Gmu[mu])*tmp;
|
|
|
|
}
|
|
|
|
ref = -0.5*ref;
|
|
|
|
// Dperp
|
|
|
|
{
|
|
|
|
RealD diag = 5.0 - Ddwf.M5;
|
2022-11-17 01:15:51 +00:00
|
|
|
mass = Ddwf.Mass();
|
2020-06-05 23:52:35 +01:00
|
|
|
autoView( psi,result5,CpuRead);
|
|
|
|
autoView( chi,tmp, CpuWrite);
|
2020-04-23 09:29:45 +01:00
|
|
|
thread_for(sss,UGrid->oSites(),{
|
|
|
|
uint64_t ss= sss*Ls;
|
|
|
|
typedef vSpinColourVector spinor;
|
|
|
|
spinor tmp1, tmp2;
|
|
|
|
for(int s=0;s<Ls;s++){
|
|
|
|
uint64_t idx_u = ss+((s+1)%Ls);
|
|
|
|
uint64_t idx_l = ss+((s+Ls-1)%Ls);
|
|
|
|
spProj5m(tmp1,psi(idx_u));
|
|
|
|
spProj5p(tmp2,psi(idx_l));
|
|
|
|
double pu = (s==(Ls-1)) ? mass: -1.0;
|
|
|
|
double pl = (s==0) ? mass: -1.0;
|
|
|
|
chi[ss+s]=diag*psi(ss+s)+pu*tmp1+pl*tmp2;
|
|
|
|
}
|
|
|
|
});
|
|
|
|
}
|
|
|
|
ref = ref + tmp;
|
|
|
|
ref = ref - src5;
|
|
|
|
std::cout << "residual "<< norm2(ref)<< std::endl;
|
|
|
|
std::cout << "src "<< norm2(src5)<< std::endl;
|
|
|
|
std::cout << "result "<< norm2(result5)<< std::endl;
|
|
|
|
*/
|