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392 lines
15 KiB
C++
392 lines
15 KiB
C++
/*************************************************************************************
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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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using namespace Grid::QCD;
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template<class d>
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struct scal {
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d internal;
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};
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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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};
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template<class What>
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void TestCGinversions(What & Ddwf,
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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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GridParallelRNG *RNG5);
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template<class What>
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void TestCGschur(What & Ddwf,
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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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GridParallelRNG *RNG5);
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template<class What>
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void TestCGunprec(What & Ddwf,
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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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GridParallelRNG *RNG5);
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template<class What>
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void TestCGprec(What & Ddwf,
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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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GridParallelRNG *RNG5);
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template<class What>
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void TestReconstruct5D(What & Ddwf,
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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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GridParallelRNG *RNG5);
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template<class What>
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void TestReconstruct5DFA(What & Ddwf,
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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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GridParallelRNG *RNG5);
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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=8;
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GridCartesian * UGrid = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplex::Nsimd()),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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std::vector<int> seeds4({1,2,3,4});
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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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GridParallelRNG RNG4(UGrid); RNG4.SeedFixedIntegers(seeds4);
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LatticeGaugeField Umu(UGrid);
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SU3::HotConfiguration(RNG4,Umu);
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std::vector<LatticeColourMatrix> U(4,UGrid);
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RealD mass=0.1;
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RealD M5 =1.8;
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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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DomainWallFermionR Ddwf(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5);
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TestCGinversions<DomainWallFermionR>(Ddwf,Umu,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
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TestReconstruct5DFA<DomainWallFermionR>(Ddwf,Umu,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
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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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std::vector<ComplexD> gamma(Ls,ComplexD(1.0,0.0));
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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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MobiusFermionR Dmob(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5,b,c);
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TestCGinversions<MobiusFermionR>(Dmob,Umu,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
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TestReconstruct5DFA<MobiusFermionR>(Dmob,Umu,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
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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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ZMobiusFermionR ZDmob(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5,gamma,b,c);
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TestCGinversions<ZMobiusFermionR>(ZDmob,Umu,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
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TestReconstruct5D<ZMobiusFermionR>(ZDmob,Umu,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
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std::cout<<GridLogMessage <<"======================"<<std::endl;
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std::cout<<GridLogMessage <<"MobiusZolotarevFermion test"<<std::endl;
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std::cout<<GridLogMessage <<"======================"<<std::endl;
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MobiusZolotarevFermionR Dzolo(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5,b,c,0.1,2.0);
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TestCGinversions<MobiusZolotarevFermionR>(Dzolo,Umu,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
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TestReconstruct5D<MobiusZolotarevFermionR>(Dzolo,Umu,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
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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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ScaledShamirFermionR Dsham(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5,2.0);
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TestCGinversions<ScaledShamirFermionR>(Dsham,Umu,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
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TestReconstruct5DFA<ScaledShamirFermionR>(Dsham,Umu,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
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std::cout<<GridLogMessage <<"======================"<<std::endl;
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std::cout<<GridLogMessage <<"ShamirZolotarevFermion test"<<std::endl;
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std::cout<<GridLogMessage <<"======================"<<std::endl;
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ShamirZolotarevFermionR Dshamz(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5,0.1,2.0);
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TestCGinversions<ShamirZolotarevFermionR>(Dshamz,Umu,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
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TestReconstruct5D<ShamirZolotarevFermionR>(Dshamz,Umu,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
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std::cout<<GridLogMessage <<"======================"<<std::endl;
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std::cout<<GridLogMessage <<"OverlapWilsonCayleyTanhFermion test"<<std::endl;
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std::cout<<GridLogMessage <<"======================"<<std::endl;
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OverlapWilsonCayleyTanhFermionR Dov(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5,1.0);
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TestCGinversions<OverlapWilsonCayleyTanhFermionR>(Dov,Umu,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
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TestReconstruct5DFA<OverlapWilsonCayleyTanhFermionR>(Dov,Umu,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
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std::cout<<GridLogMessage <<"======================"<<std::endl;
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std::cout<<GridLogMessage <<"OverlapWilsonCayleyZolotarevFermion test"<<std::endl;
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std::cout<<GridLogMessage <<"======================"<<std::endl;
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OverlapWilsonCayleyZolotarevFermionR Dovz(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5,0.1,2.0);
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TestCGinversions<OverlapWilsonCayleyZolotarevFermionR>(Dovz,Umu,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
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TestReconstruct5D<OverlapWilsonCayleyZolotarevFermionR>(Dovz,Umu,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
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Grid_finalize();
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}
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template<class What>
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void TestCGinversions(What & Ddwf,
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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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GridParallelRNG *RNG5)
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{
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std::cout<<GridLogMessage << "Testing unpreconditioned inverter"<<std::endl;
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TestCGunprec<What>(Ddwf,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,RNG4,RNG5);
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std::cout<<GridLogMessage << "Testing red black preconditioned inverter"<<std::endl;
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TestCGprec<What>(Ddwf,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,RNG4,RNG5);
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std::cout<<GridLogMessage << "Testing red black Schur inverter"<<std::endl;
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TestCGschur<What>(Ddwf,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,RNG4,RNG5);
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}
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template<class What>
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void TestCGunprec(What & Ddwf,
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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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GridParallelRNG *RNG5)
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{
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LatticeFermion src (FGrid); random(*RNG5,src);
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LatticeFermion result(FGrid); result=zero;
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MdagMLinearOperator<What,LatticeFermion> HermOp(Ddwf);
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ConjugateGradient<LatticeFermion> CG(1.0e-8,10000);
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CG(HermOp,src,result);
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}
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template<class What>
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void TestCGprec(What & Ddwf,
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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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GridParallelRNG *RNG5)
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{
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LatticeFermion src (FGrid); random(*RNG5,src);
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LatticeFermion src_o(FrbGrid);
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LatticeFermion result_o(FrbGrid);
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pickCheckerboard(Odd,src_o,src);
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result_o=zero;
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SchurDiagMooeeOperator<What,LatticeFermion> HermOpEO(Ddwf);
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ConjugateGradient<LatticeFermion> CG(1.0e-8,10000);
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CG(HermOpEO,src_o,result_o);
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}
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template<class What>
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void TestReconstruct5D(What & Ddwf,
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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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GridParallelRNG *RNG5)
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{
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LatticeFermion src4 (UGrid); random(*RNG4,src4);
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LatticeFermion res4 (UGrid); res4 = zero;
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LatticeFermion src (FGrid);
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LatticeFermion src_NE(FGrid);
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LatticeFermion result(FGrid);
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LatticeFermion result_rec(FGrid);
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LatticeFermion result_madwf(FGrid);
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MdagMLinearOperator<What,LatticeFermion> HermOp(Ddwf);
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double Resid = 1.0e-12;
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double Residi = 1.0e-6;
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ConjugateGradient<LatticeFermion> CG(Resid,10000);
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ConjugateGradient<LatticeFermion> CGi(Residi,10000);
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Ddwf.ImportPhysicalFermionSource(src4,src);
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Ddwf.Mdag(src,src_NE);
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CG(HermOp,src_NE,result);
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Ddwf.ExportPhysicalFermionSolution(result, res4);
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Ddwf.M(result,src_NE);
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src_NE = src_NE - src;
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std::cout <<GridLogMessage<< " True residual is " << norm2(src_NE)<<std::endl;
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std::cout <<GridLogMessage<< " Reconstructing " <<std::endl;
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////////////////////////////
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// RBprec PV inverse
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////////////////////////////
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typedef LatticeFermion Field;
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typedef SchurRedBlackDiagTwoSolve<Field> SchurSolverType;
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typedef SchurRedBlackDiagTwoSolve<Field> SchurSolverTypei;
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typedef PauliVillarsSolverRBprec<Field,SchurSolverType> PVinverter;
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SchurSolverType SchurSolver(CG);
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PVinverter PVinverse(SchurSolver);
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Reconstruct5DfromPhysical<LatticeFermion,PVinverter> reconstructor(PVinverse);
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reconstructor(Ddwf,res4,src4,result_rec);
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std::cout <<GridLogMessage << "Result "<<norm2(result)<<std::endl;
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std::cout <<GridLogMessage << "Result_rec "<<norm2(result_rec)<<std::endl;
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result_rec = result_rec - result;
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std::cout <<GridLogMessage << "Difference "<<norm2(result_rec)<<std::endl;
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//////////////////////////////
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// Now try MADWF
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//////////////////////////////
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SchurSolverTypei SchurSolveri(CGi);
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ZeroGuesser<LatticeFermion> Guess;
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MADWF<What,What,PVinverter,SchurSolverTypei,ZeroGuesser<LatticeFermion> >
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madwf(Ddwf,Ddwf,PVinverse,SchurSolveri,Guess,Resid,10);
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madwf(src4,result_madwf);
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result_madwf = result_madwf - result;
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std::cout <<GridLogMessage << "Difference "<<norm2(result_madwf)<<std::endl;
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}
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template<class What>
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void TestReconstruct5DFA(What & Ddwf,
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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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GridParallelRNG *RNG5)
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{
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LatticeFermion src4 (UGrid); random(*RNG4,src4);
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LatticeFermion res4 (UGrid); res4 = zero;
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LatticeFermion src (FGrid);
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LatticeFermion src_NE(FGrid);
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LatticeFermion result(FGrid);
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LatticeFermion result_rec(FGrid);
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LatticeFermion result_madwf(FGrid);
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MdagMLinearOperator<What,LatticeFermion> HermOp(Ddwf);
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double Resid = 1.0e-12;
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double Residi = 1.0e-5;
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ConjugateGradient<LatticeFermion> CG(Resid,10000);
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ConjugateGradient<LatticeFermion> CGi(Residi,10000);
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Ddwf.ImportPhysicalFermionSource(src4,src);
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Ddwf.Mdag(src,src_NE);
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CG(HermOp,src_NE,result);
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Ddwf.ExportPhysicalFermionSolution(result, res4);
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Ddwf.M(result,src_NE);
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src_NE = src_NE - src;
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std::cout <<GridLogMessage<< " True residual is " << norm2(src_NE)<<std::endl;
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std::cout <<GridLogMessage<< " Reconstructing " <<std::endl;
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////////////////////////////
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// Fourier accel PV inverse
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////////////////////////////
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typedef LatticeFermion Field;
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typedef SchurRedBlackDiagTwoSolve<Field> SchurSolverTypei;
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typedef PauliVillarsSolverFourierAccel<LatticeFermion,LatticeGaugeField> PVinverter;
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PVinverter PVinverse(Umu,CG);
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Reconstruct5DfromPhysical<LatticeFermion,PVinverter> reconstructor(PVinverse);
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reconstructor(Ddwf,res4,src4,result_rec);
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std::cout <<GridLogMessage << "Result "<<norm2(result)<<std::endl;
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std::cout <<GridLogMessage << "Result_rec "<<norm2(result_rec)<<std::endl;
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result_rec = result_rec - result;
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std::cout <<GridLogMessage << "Difference "<<norm2(result_rec)<<std::endl;
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//////////////////////////////
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// Now try MADWF
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//////////////////////////////
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SchurSolverTypei SchurSolver(CGi);
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ZeroGuesser<LatticeFermion> Guess;
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MADWF<What,What,PVinverter,SchurSolverTypei,ZeroGuesser<LatticeFermion> >
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madwf(Ddwf,Ddwf,PVinverse,SchurSolver,Guess,Resid,10);
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madwf(src4,result_madwf);
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result_madwf = result_madwf - result;
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std::cout <<GridLogMessage << "Difference "<<norm2(result_madwf)<<std::endl;
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}
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template<class What>
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void TestCGschur(What & Ddwf,
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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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GridParallelRNG *RNG5)
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{
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LatticeFermion src (FGrid); random(*RNG5,src);
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LatticeFermion result(FGrid); result=zero;
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ConjugateGradient<LatticeFermion> CG(1.0e-8,10000);
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SchurRedBlackDiagMooeeSolve<LatticeFermion> SchurSolver(CG);
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SchurSolver(Ddwf,src,result);
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}
|