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Grid/tests/Test_dwf_even_odd.cc
Peter Boyle 26e9b04fab CG test written and passes i.e. converges with small true residual
in RedBlack MpcDagMpc, Unprec MdagM and Schur red black solver for
each of.

DomainWallFermion
MobiusFermion
MobiusZolotarevFermion
ScaledShamirFermion
ScaledShamirZolotarevFermion
2015-06-03 10:54:03 +01:00

208 lines
6.4 KiB
C++

#include <Grid.h>
using namespace std;
using namespace Grid;
using namespace Grid::QCD;
template<class d>
struct scal {
d internal;
};
Gamma::GammaMatrix Gmu [] = {
Gamma::GammaX,
Gamma::GammaY,
Gamma::GammaZ,
Gamma::GammaT
};
int main (int argc, char ** argv)
{
Grid_init(&argc,&argv);
int threads = GridThread::GetThreads();
std::cout << "Grid is setup to use "<<threads<<" threads"<<std::endl;
const int Ls=8;
GridCartesian * UGrid = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplexF::Nsimd()),GridDefaultMpi());
GridRedBlackCartesian * UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
GridCartesian * FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid);
GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGrid);
std::vector<int> seeds4({1,2,3,4});
std::vector<int> seeds5({5,6,7,8});
GridParallelRNG RNG4(UGrid); RNG4.SeedFixedIntegers(seeds4);
GridParallelRNG RNG5(FGrid); RNG5.SeedFixedIntegers(seeds5);
LatticeFermion src (FGrid); random(RNG5,src);
LatticeFermion phi (FGrid); random(RNG5,phi);
LatticeFermion chi (FGrid); random(RNG5,chi);
LatticeFermion result(FGrid); result=zero;
LatticeFermion ref(FGrid); ref=zero;
LatticeFermion tmp(FGrid); tmp=zero;
LatticeFermion err(FGrid); tmp=zero;
LatticeGaugeField Umu(UGrid); random(RNG4,Umu);
std::vector<LatticeColourMatrix> U(4,UGrid);
// Only one non-zero (y)
Umu=zero;
for(int nn=0;nn<Nd;nn++){
random(RNG4,U[nn]);
if ( nn>0 )
U[nn]=zero;
pokeIndex<LorentzIndex>(Umu,U[nn],nn);
}
RealD mass=0.1;
RealD M5 =1.8;
DomainWallFermion Ddwf(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5);
LatticeFermion src_e (FrbGrid);
LatticeFermion src_o (FrbGrid);
LatticeFermion r_e (FrbGrid);
LatticeFermion r_o (FrbGrid);
LatticeFermion r_eo (FGrid);
LatticeFermion r_eeoo(FGrid);
std::cout<<"=========================================================="<<std::endl;
std::cout<<"= Testing that Meo + Moe + Moo + Mee = Munprec "<<std::endl;
std::cout<<"=========================================================="<<std::endl;
pickCheckerboard(Even,src_e,src);
pickCheckerboard(Odd,src_o,src);
Ddwf.Meooe(src_e,r_o); std::cout<<"Applied Meo"<<std::endl;
Ddwf.Meooe(src_o,r_e); std::cout<<"Applied Moe"<<std::endl;
setCheckerboard(r_eo,r_o);
setCheckerboard(r_eo,r_e);
Ddwf.Mooee(src_e,r_e); std::cout<<"Applied Mee"<<std::endl;
Ddwf.Mooee(src_o,r_o); std::cout<<"Applied Moo"<<std::endl;
setCheckerboard(r_eeoo,r_e);
setCheckerboard(r_eeoo,r_o);
r_eo=r_eo+r_eeoo;
Ddwf.M(src,ref);
// std::cout << r_eo<<std::endl;
// std::cout << ref <<std::endl;
err= ref - r_eo;
std::cout << "EO norm diff "<< norm2(err)<< " "<<norm2(ref)<< " " << norm2(r_eo) <<std::endl;
LatticeComplex cerr(FGrid);
cerr = localInnerProduct(err,err);
// std::cout << cerr<<std::endl;
std::cout<<"=============================================================="<<std::endl;
std::cout<<"= Test Ddagger is the dagger of D by requiring "<<std::endl;
std::cout<<"= < phi | Deo | chi > * = < chi | Deo^dag| phi> "<<std::endl;
std::cout<<"=============================================================="<<std::endl;
LatticeFermion chi_e (FrbGrid);
LatticeFermion chi_o (FrbGrid);
LatticeFermion dchi_e (FrbGrid);
LatticeFermion dchi_o (FrbGrid);
LatticeFermion phi_e (FrbGrid);
LatticeFermion phi_o (FrbGrid);
LatticeFermion dphi_e (FrbGrid);
LatticeFermion dphi_o (FrbGrid);
pickCheckerboard(Even,chi_e,chi);
pickCheckerboard(Odd ,chi_o,chi);
pickCheckerboard(Even,phi_e,phi);
pickCheckerboard(Odd ,phi_o,phi);
Ddwf.Meooe(chi_e,dchi_o);
Ddwf.Meooe(chi_o,dchi_e);
Ddwf.MeooeDag(phi_e,dphi_o);
Ddwf.MeooeDag(phi_o,dphi_e);
ComplexD pDce = innerProduct(phi_e,dchi_e);
ComplexD pDco = innerProduct(phi_o,dchi_o);
ComplexD cDpe = innerProduct(chi_e,dphi_e);
ComplexD cDpo = innerProduct(chi_o,dphi_o);
std::cout <<"e "<<pDce<<" "<<cDpe <<std::endl;
std::cout <<"o "<<pDco<<" "<<cDpo <<std::endl;
std::cout <<"pDce - conj(cDpo) "<< pDce-conj(cDpo) <<std::endl;
std::cout <<"pDco - conj(cDpe) "<< pDco-conj(cDpe) <<std::endl;
std::cout<<"=============================================================="<<std::endl;
std::cout<<"= Test MeeInv Mee = 1 "<<std::endl;
std::cout<<"=============================================================="<<std::endl;
pickCheckerboard(Even,chi_e,chi);
pickCheckerboard(Odd ,chi_o,chi);
Ddwf.Mooee(chi_e,src_e);
Ddwf.MooeeInv(src_e,phi_e);
Ddwf.Mooee(chi_o,src_o);
Ddwf.MooeeInv(src_o,phi_o);
setCheckerboard(phi,phi_e);
setCheckerboard(phi,phi_o);
err = phi-chi;
std::cout << "norm diff "<< norm2(err)<< std::endl;
std::cout<<"=============================================================="<<std::endl;
std::cout<<"= Test MeeInvDag MeeDag = 1 "<<std::endl;
std::cout<<"=============================================================="<<std::endl;
pickCheckerboard(Even,chi_e,chi);
pickCheckerboard(Odd ,chi_o,chi);
Ddwf.MooeeDag(chi_e,src_e);
Ddwf.MooeeInvDag(src_e,phi_e);
Ddwf.MooeeDag(chi_o,src_o);
Ddwf.MooeeInvDag(src_o,phi_o);
setCheckerboard(phi,phi_e);
setCheckerboard(phi,phi_o);
err = phi-chi;
std::cout << "norm diff "<< norm2(err)<< std::endl;
std::cout<<"=============================================================="<<std::endl;
std::cout<<"= Test MpcDagMpc is Hermitian "<<std::endl;
std::cout<<"=============================================================="<<std::endl;
random(RNG5,phi);
random(RNG5,chi);
pickCheckerboard(Even,chi_e,chi);
pickCheckerboard(Odd ,chi_o,chi);
pickCheckerboard(Even,phi_e,phi);
pickCheckerboard(Odd ,phi_o,phi);
RealD t1,t2;
Ddwf.MpcDagMpc(chi_e,dchi_e,t1,t2);
Ddwf.MpcDagMpc(chi_o,dchi_o,t1,t2);
Ddwf.MpcDagMpc(phi_e,dphi_e,t1,t2);
Ddwf.MpcDagMpc(phi_o,dphi_o,t1,t2);
pDce = innerProduct(phi_e,dchi_e);
pDco = innerProduct(phi_o,dchi_o);
cDpe = innerProduct(chi_e,dphi_e);
cDpo = innerProduct(chi_o,dphi_o);
std::cout <<"e "<<pDce<<" "<<cDpe <<std::endl;
std::cout <<"o "<<pDco<<" "<<cDpo <<std::endl;
std::cout <<"pDce - conj(cDpo) "<< pDco-conj(cDpo) <<std::endl;
std::cout <<"pDco - conj(cDpe) "<< pDce-conj(cDpe) <<std::endl;
Grid_finalize();
}