/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./tests/Test_cayley_cg.cc
Copyright (C) 2015
Author: Peter Boyle <paboyle@ph.ed.ac.uk>
Author: paboyle <paboyle@ph.ed.ac.uk>
This program is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License along
with this program; if not, write to the Free Software Foundation, Inc.,
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
See the full license in the file "LICENSE" in the top level distribution directory
*************************************************************************************/
/* END LEGAL */
#include <Grid/Grid.h>
#include <Grid/qcd/action/fermion/Reconstruct5Dprop.h>
using namespace std;
using namespace Grid;
template<class What>
void TestCGinversions(What & Ddwf,
LatticeGaugeField &Umu,
GridCartesian * FGrid, GridRedBlackCartesian * FrbGrid,
GridCartesian * UGrid, GridRedBlackCartesian * UrbGrid,
RealD mass, RealD M5,
GridParallelRNG *RNG4,
GridParallelRNG *RNG5);
template<class What>
void TestCGschur(What & Ddwf,
GridCartesian * FGrid, GridRedBlackCartesian * FrbGrid,
GridCartesian * UGrid, GridRedBlackCartesian * UrbGrid,
RealD mass, RealD M5,
GridParallelRNG *RNG4,
GridParallelRNG *RNG5);
template<class What>
void TestCGunprec(What & Ddwf,
GridCartesian * FGrid, GridRedBlackCartesian * FrbGrid,
GridCartesian * UGrid, GridRedBlackCartesian * UrbGrid,
RealD mass, RealD M5,
GridParallelRNG *RNG4,
GridParallelRNG *RNG5);
template<class What>
void TestCGprec(What & Ddwf,
GridCartesian * FGrid, GridRedBlackCartesian * FrbGrid,
GridCartesian * UGrid, GridRedBlackCartesian * UrbGrid,
RealD mass, RealD M5,
GridParallelRNG *RNG4,
GridParallelRNG *RNG5);
template<class What>
void TestReconstruct5D(What & Ddwf,
LatticeGaugeField &Umu,
GridCartesian * FGrid, GridRedBlackCartesian * FrbGrid,
GridCartesian * UGrid, GridRedBlackCartesian * UrbGrid,
RealD mass, RealD M5,
GridParallelRNG *RNG4,
GridParallelRNG *RNG5);
template<class What,class WhatF>
void TestReconstruct5DFA(What & Ddwf,
WhatF & DdwfF,
LatticeGaugeField &Umu,
GridCartesian * FGrid, GridRedBlackCartesian * FrbGrid,
GridCartesian * UGrid, GridRedBlackCartesian * UrbGrid,
RealD mass, RealD M5,
GridParallelRNG *RNG4,
GridParallelRNG *RNG5);
int main (int argc, char ** argv)
{
Grid_init(&argc,&argv);
int threads = GridThread::GetThreads();
std::cout<<GridLogMessage << "Grid is setup to use "<<threads<<" threads"<<std::endl;
const int Ls=8;
GridCartesian * UGrid = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(),
GridDefaultSimd(Nd,vComplex::Nsimd()),
GridDefaultMpi());
GridRedBlackCartesian * UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
GridCartesian * FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid);
GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGrid);
GridCartesian * UGridF = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(),
GridDefaultSimd(Nd,vComplexF::Nsimd()),
GridDefaultMpi());
GridRedBlackCartesian * UrbGridF = SpaceTimeGrid::makeFourDimRedBlackGrid(UGridF);
GridCartesian * FGridF = SpaceTimeGrid::makeFiveDimGrid(Ls,UGridF);
GridRedBlackCartesian * FrbGridF = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGridF);
std::vector<int> seeds4({1,2,3,4});
std::vector<int> seeds5({5,6,7,8});
GridParallelRNG RNG5(FGrid); RNG5.SeedFixedIntegers(seeds5);
GridParallelRNG RNG4(UGrid); RNG4.SeedFixedIntegers(seeds4);
LatticeGaugeField Umu(UGrid);
LatticeGaugeFieldF UmuF(UGridF);
SU<Nc>::HotConfiguration(RNG4,Umu);
precisionChange(UmuF,Umu);
std::vector<LatticeColourMatrix> U(4,UGrid);
RealD mass=0.1;
RealD M5 =1.8;
std::cout<<GridLogMessage <<"======================"<<std::endl;
std::cout<<GridLogMessage <<"DomainWallFermion test"<<std::endl;
std::cout<<GridLogMessage <<"======================"<<std::endl;
DomainWallFermionR Ddwf(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5);
DomainWallFermionF DdwfF(UmuF,*FGridF,*FrbGridF,*UGridF,*UrbGridF,mass,M5);
TestCGinversions<DomainWallFermionR>(Ddwf,Umu,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
TestReconstruct5DFA<DomainWallFermionR,DomainWallFermionF>(Ddwf,DdwfF,Umu,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
RealD b=1.5;// Scale factor b+c=2, b-c=1
RealD c=0.5;
std::vector<ComplexD> gamma(Ls,ComplexD(1.0,0.0));
std::cout<<GridLogMessage <<"======================"<<std::endl;
std::cout<<GridLogMessage <<"MobiusFermion test"<<std::endl;
std::cout<<GridLogMessage <<"======================"<<std::endl;
MobiusFermionR Dmob(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5,b,c);
MobiusFermionF DmobF(UmuF,*FGridF,*FrbGridF,*UGridF,*UrbGridF,mass,M5,b,c);
TestCGinversions<MobiusFermionR>(Dmob,Umu,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
TestReconstruct5DFA<MobiusFermionR,MobiusFermionF>(Dmob,DmobF,Umu,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
std::cout<<GridLogMessage <<"======================"<<std::endl;
std::cout<<GridLogMessage <<"ZMobiusFermion test"<<std::endl;
std::cout<<GridLogMessage <<"======================"<<std::endl;
ZMobiusFermionR ZDmob(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5,gamma,b,c);
TestCGinversions<ZMobiusFermionR>(ZDmob,Umu,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
TestReconstruct5D<ZMobiusFermionR>(ZDmob,Umu,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
std::cout<<GridLogMessage <<"======================"<<std::endl;
std::cout<<GridLogMessage <<"MobiusZolotarevFermion test"<<std::endl;
std::cout<<GridLogMessage <<"======================"<<std::endl;
MobiusZolotarevFermionR Dzolo(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5,b,c,0.1,2.0);
TestCGinversions<MobiusZolotarevFermionR>(Dzolo,Umu,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
TestReconstruct5D<MobiusZolotarevFermionR>(Dzolo,Umu,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
std::cout<<GridLogMessage <<"======================"<<std::endl;
std::cout<<GridLogMessage <<"ScaledShamirFermion test"<<std::endl;
std::cout<<GridLogMessage <<"======================"<<std::endl;
ScaledShamirFermionR Dsham(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5,2.0);
ScaledShamirFermionF DshamF(UmuF,*FGridF,*FrbGridF,*UGridF,*UrbGridF,mass,M5,2.0);
TestCGinversions<ScaledShamirFermionR>(Dsham,Umu,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
TestReconstruct5DFA<ScaledShamirFermionR,ScaledShamirFermionF>(Dsham,DshamF,Umu,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
std::cout<<GridLogMessage <<"======================"<<std::endl;
std::cout<<GridLogMessage <<"ShamirZolotarevFermion test"<<std::endl;
std::cout<<GridLogMessage <<"======================"<<std::endl;
ShamirZolotarevFermionR Dshamz(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5,0.1,2.0);
TestCGinversions<ShamirZolotarevFermionR>(Dshamz,Umu,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
TestReconstruct5D<ShamirZolotarevFermionR>(Dshamz,Umu,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
std::cout<<GridLogMessage <<"======================"<<std::endl;
std::cout<<GridLogMessage <<"OverlapWilsonCayleyTanhFermion test"<<std::endl;
std::cout<<GridLogMessage <<"======================"<<std::endl;
OverlapWilsonCayleyTanhFermionR Dov(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5,1.0);
OverlapWilsonCayleyTanhFermionF DovF(UmuF,*FGridF,*FrbGridF,*UGridF,*UrbGridF,mass,M5,1.0);
TestCGinversions<OverlapWilsonCayleyTanhFermionR>(Dov,Umu,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
TestReconstruct5DFA<OverlapWilsonCayleyTanhFermionR,OverlapWilsonCayleyTanhFermionF>(Dov,DovF,Umu,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
std::cout<<GridLogMessage <<"======================"<<std::endl;
std::cout<<GridLogMessage <<"OverlapWilsonCayleyZolotarevFermion test"<<std::endl;
std::cout<<GridLogMessage <<"======================"<<std::endl;
OverlapWilsonCayleyZolotarevFermionR Dovz(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5,0.1,2.0);
TestCGinversions<OverlapWilsonCayleyZolotarevFermionR>(Dovz,Umu,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
TestReconstruct5D<OverlapWilsonCayleyZolotarevFermionR>(Dovz,Umu,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
Grid_finalize();
}
template<class What>
void TestCGinversions(What & Ddwf,
LatticeGaugeField &Umu,
GridCartesian * FGrid, GridRedBlackCartesian * FrbGrid,
GridCartesian * UGrid, GridRedBlackCartesian * UrbGrid,
RealD mass, RealD M5,
GridParallelRNG *RNG4,
GridParallelRNG *RNG5)
{
std::cout<<GridLogMessage << "Testing unpreconditioned inverter"<<std::endl;
TestCGunprec<What>(Ddwf,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,RNG4,RNG5);
std::cout<<GridLogMessage << "Testing red black preconditioned inverter"<<std::endl;
TestCGprec<What>(Ddwf,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,RNG4,RNG5);
std::cout<<GridLogMessage << "Testing red black Schur inverter"<<std::endl;
TestCGschur<What>(Ddwf,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,RNG4,RNG5);
}
template<class What>
void TestCGunprec(What & Ddwf,
GridCartesian * FGrid, GridRedBlackCartesian * FrbGrid,
GridCartesian * UGrid, GridRedBlackCartesian * UrbGrid,
RealD mass, RealD M5,
GridParallelRNG *RNG4,
GridParallelRNG *RNG5)
{
LatticeFermion src (FGrid); random(*RNG5,src);
LatticeFermion result(FGrid); result=Zero();
MdagMLinearOperator<What,LatticeFermion> HermOp(Ddwf);
ConjugateGradient<LatticeFermion> CG(1.0e-8,10000);
CG(HermOp,src,result);
}
template<class What>
void TestCGprec(What & Ddwf,
GridCartesian * FGrid, GridRedBlackCartesian * FrbGrid,
GridCartesian * UGrid, GridRedBlackCartesian * UrbGrid,
RealD mass, RealD M5,
GridParallelRNG *RNG4,
GridParallelRNG *RNG5)
{
LatticeFermion src (FGrid); random(*RNG5,src);
LatticeFermion src_o(FrbGrid);
LatticeFermion result_o(FrbGrid);
pickCheckerboard(Odd,src_o,src);
result_o=Zero();
SchurDiagMooeeOperator<What,LatticeFermion> HermOpEO(Ddwf);
ConjugateGradient<LatticeFermion> CG(1.0e-8,10000);
CG(HermOpEO,src_o,result_o);
}
template<class What>
void TestReconstruct5D(What & Ddwf,
LatticeGaugeField & Umu,
GridCartesian * FGrid, GridRedBlackCartesian * FrbGrid,
GridCartesian * UGrid, GridRedBlackCartesian * UrbGrid,
RealD mass, RealD M5,
GridParallelRNG *RNG4,
GridParallelRNG *RNG5)
{
LatticeFermion src4 (UGrid); random(*RNG4,src4);
LatticeFermion res4 (UGrid); res4 = Zero();
LatticeFermion src (FGrid);
LatticeFermion src_NE(FGrid);
LatticeFermion result(FGrid);
LatticeFermion result_rec(FGrid);
LatticeFermion result_madwf(FGrid);
MdagMLinearOperator<What,LatticeFermion> HermOp(Ddwf);
double Resid = 1.0e-12;
double Residi = 1.0e-6;
ConjugateGradient<LatticeFermion> CG(Resid,10000);
ConjugateGradient<LatticeFermion> CGi(Residi,10000);
Ddwf.ImportPhysicalFermionSource(src4,src);
Ddwf.Mdag(src,src_NE);
CG(HermOp,src_NE,result);
Ddwf.ExportPhysicalFermionSolution(result, res4);
Ddwf.M(result,src_NE);
src_NE = src_NE - src;
std::cout <<GridLogMessage<< " True residual is " << norm2(src_NE)<<std::endl;
std::cout <<GridLogMessage<< " Reconstructing " <<std::endl;
////////////////////////////
// RBprec PV inverse
////////////////////////////
typedef LatticeFermion Field;
typedef SchurRedBlackDiagTwoSolve<Field> SchurSolverType;
typedef SchurRedBlackDiagTwoSolve<Field> SchurSolverTypei;
typedef PauliVillarsSolverRBprec<Field,SchurSolverType> PVinverter;
SchurSolverType SchurSolver(CG);
PVinverter PVinverse(SchurSolver);
Reconstruct5DfromPhysical<LatticeFermion,PVinverter> reconstructor(PVinverse);
reconstructor(Ddwf,res4,src4,result_rec);
std::cout <<GridLogMessage << "Result "<<norm2(result)<<std::endl;
std::cout <<GridLogMessage << "Result_rec "<<norm2(result_rec)<<std::endl;
result_rec = result_rec - result;
std::cout <<GridLogMessage << "Difference "<<norm2(result_rec)<<std::endl;
//////////////////////////////
// Now try MADWF
//////////////////////////////
SchurSolverTypei SchurSolveri(CGi);
ZeroGuesser<LatticeFermion> Guess;
MADWF<What,What,PVinverter,SchurSolverTypei,ZeroGuesser<LatticeFermion> >
madwf(Ddwf,Ddwf,PVinverse,SchurSolveri,Guess,Resid,10);
madwf(src4,result_madwf);
result_madwf = result_madwf - result;
std::cout <<GridLogMessage << "Difference "<<norm2(result_madwf)<<std::endl;
}
template<class What,class WhatF>
void TestReconstruct5DFA(What & Ddwf,
WhatF & DdwfF,
LatticeGaugeField & Umu,
GridCartesian * FGrid, GridRedBlackCartesian * FrbGrid,
GridCartesian * UGrid, GridRedBlackCartesian * UrbGrid,
RealD mass, RealD M5,
GridParallelRNG *RNG4,
GridParallelRNG *RNG5)
{
LatticeFermion src4 (UGrid); random(*RNG4,src4);
LatticeFermion res4 (UGrid); res4 = Zero();
LatticeFermion src (FGrid);
LatticeFermion src_NE(FGrid);
LatticeFermion result(FGrid);
LatticeFermion result_rec(FGrid);
LatticeFermion result_madwf(FGrid);
MdagMLinearOperator<What,LatticeFermion> HermOp(Ddwf);
double Resid = 1.0e-12;
double Residi = 1.0e-5;
ConjugateGradient<LatticeFermion> CG(Resid,10000);
ConjugateGradient<LatticeFermionF> CGi(Residi,10000);
Ddwf.ImportPhysicalFermionSource(src4,src);
Ddwf.Mdag(src,src_NE);
CG(HermOp,src_NE,result);
Ddwf.ExportPhysicalFermionSolution(result, res4);
Ddwf.M(result,src_NE);
src_NE = src_NE - src;
std::cout <<GridLogMessage<< " True residual is " << norm2(src_NE)<<std::endl;
std::cout <<GridLogMessage<< " Reconstructing " <<std::endl;
////////////////////////////
// Fourier accel PV inverse
////////////////////////////
typedef LatticeFermion Field;
typedef LatticeFermionF FieldF;
typedef SchurRedBlackDiagTwoSolve<FieldF> SchurSolverTypei;
typedef PauliVillarsSolverFourierAccel<LatticeFermion,LatticeGaugeField> PVinverter;
PVinverter PVinverse(Umu,CG);
Reconstruct5DfromPhysical<LatticeFermion,PVinverter> reconstructor(PVinverse);
reconstructor(Ddwf,res4,src4,result_rec);
std::cout <<GridLogMessage << "Result "<<norm2(result)<<std::endl;
std::cout <<GridLogMessage << "Result_rec "<<norm2(result_rec)<<std::endl;
result_rec = result_rec - result;
std::cout <<GridLogMessage << "Difference "<<norm2(result_rec)<<std::endl;
//////////////////////////////
// Now try MADWF
//////////////////////////////
SchurSolverTypei SchurSolver(CGi);
ZeroGuesser<LatticeFermionF> Guess;
MADWF<What,WhatF,PVinverter,SchurSolverTypei,ZeroGuesser<LatticeFermionF> >
madwf(Ddwf,DdwfF,PVinverse,SchurSolver,Guess,Resid,10);
madwf(src4,result_madwf);
result_madwf = result_madwf - result;
std::cout <<GridLogMessage << "Difference "<<norm2(result_madwf)<<std::endl;
}
template<class What>
void TestCGschur(What & Ddwf,
GridCartesian * FGrid, GridRedBlackCartesian * FrbGrid,
GridCartesian * UGrid, GridRedBlackCartesian * UrbGrid,
RealD mass, RealD M5,
GridParallelRNG *RNG4,
GridParallelRNG *RNG5)
{
LatticeFermion src (FGrid); random(*RNG5,src);
LatticeFermion result(FGrid); result=Zero();
ConjugateGradient<LatticeFermion> CG(1.0e-8,10000);
SchurRedBlackDiagMooeeSolve<LatticeFermion> SchurSolver(CG);
SchurSolver(Ddwf,src,result);
}