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Push 5d tests

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This commit is contained in:
Azusa Yamaguchi
2016-11-29 13:43:56 +00:00
parent 389e0a77bd
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tests/core/Test_staggered.cc Normal file
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/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./benchmarks/Benchmark_wilson.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>
using namespace std;
using namespace Grid;
using namespace Grid::QCD;
int main (int argc, char ** argv)
{
Grid_init(&argc,&argv);
std::vector<int> latt_size = GridDefaultLatt();
std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
std::vector<int> mpi_layout = GridDefaultMpi();
GridCartesian Grid(latt_size,simd_layout,mpi_layout);
GridRedBlackCartesian RBGrid(latt_size,simd_layout,mpi_layout);
int threads = GridThread::GetThreads();
std::cout<<GridLogMessage << "Grid is setup to use "<<threads<<" threads"<<std::endl;
std::cout<<GridLogMessage << "Grid floating point word size is REALF"<< sizeof(RealF)<<std::endl;
std::cout<<GridLogMessage << "Grid floating point word size is REALD"<< sizeof(RealD)<<std::endl;
std::cout<<GridLogMessage << "Grid floating point word size is REAL"<< sizeof(Real)<<std::endl;
std::vector<int> seeds({1,2,3,4});
GridParallelRNG pRNG(&Grid);
pRNG.SeedFixedIntegers(seeds);
// pRNG.SeedRandomDevice();
typedef typename ImprovedStaggeredFermionR::FermionField FermionField;
typedef typename ImprovedStaggeredFermionR::ComplexField ComplexField;
typename ImprovedStaggeredFermionR::ImplParams params;
FermionField src (&Grid); random(pRNG,src);
FermionField result(&Grid); result=zero;
FermionField ref(&Grid); ref=zero;
FermionField tmp(&Grid); tmp=zero;
FermionField err(&Grid); tmp=zero;
FermionField phi (&Grid); random(pRNG,phi);
FermionField chi (&Grid); random(pRNG,chi);
LatticeGaugeField Umu(&Grid); SU3::HotConfiguration(pRNG,Umu);
std::vector<LatticeColourMatrix> U(4,&Grid);
double volume=1;
for(int mu=0;mu<Nd;mu++){
volume=volume*latt_size[mu];
}
// Only one non-zero (y)
for(int mu=0;mu<Nd;mu++){
U[mu] = PeekIndex<LorentzIndex>(Umu,mu);
/* Debug force unit
U[mu] = 1.0;
PokeIndex<LorentzIndex>(Umu,U[mu],mu);
*/
}
ref = zero;
RealD mass=0.1;
RealD c1=9.0/8.0;
RealD c2=-1.0/24.0;
RealD u0=1.0;
{ // Simple improved staggered implementation
ref = zero;
RealD c1tad = 0.5*c1/u0;
RealD c2tad = 0.5*c2/u0/u0/u0;
Lattice<iScalar<vInteger> > coor(&Grid);
Lattice<iScalar<vInteger> > x(&Grid); LatticeCoordinate(x,0);
Lattice<iScalar<vInteger> > y(&Grid); LatticeCoordinate(y,1);
Lattice<iScalar<vInteger> > z(&Grid); LatticeCoordinate(z,2);
Lattice<iScalar<vInteger> > t(&Grid); LatticeCoordinate(t,3);
Lattice<iScalar<vInteger> > lin_z(&Grid); lin_z=x+y;
Lattice<iScalar<vInteger> > lin_t(&Grid); lin_t=x+y+z;
for(int mu=0;mu<Nd;mu++){
// Staggered Phase.
ComplexField phases(&Grid); phases=1.0;
if ( mu == 1 ) phases = where( mod(x ,2)==(Integer)0, phases,-phases);
if ( mu == 2 ) phases = where( mod(lin_z,2)==(Integer)0, phases,-phases);
if ( mu == 3 ) phases = where( mod(lin_t,2)==(Integer)0, phases,-phases);
tmp = PeriodicBC::CovShiftForward(U[mu],mu,src);
ref = ref +c1tad*tmp*phases; // Forward 1 hop
tmp = PeriodicBC::CovShiftForward(U[mu],mu,tmp); // 2 hop
tmp = PeriodicBC::CovShiftForward(U[mu],mu,tmp); // 3 hop
ref = ref +c2tad*tmp*phases; // Forward 3 hop
tmp = PeriodicBC::CovShiftBackward(U[mu],mu,src);
ref = ref -c1tad*tmp*phases; // Forward 3 hop
tmp = PeriodicBC::CovShiftBackward(U[mu],mu,tmp);
tmp = PeriodicBC::CovShiftBackward(U[mu],mu,tmp);
ref = ref -c2tad*tmp*phases; // Forward 3 hop
}
// ref = ref + mass * src;
}
ImprovedStaggeredFermionR Ds(Umu,Umu,Grid,RBGrid,mass,c1,c2,u0,params);
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
std::cout<<GridLogMessage<<"= Testing Dhop against cshift implementation "<<std::endl;
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
std::cout<<GridLogMessage << "Calling Ds"<<std::endl;
int ncall=1000;
double t0=usecond();
for(int i=0;i<ncall;i++){
Ds.Dhop(src,result,0);
}
double t1=usecond();
double t2;
double flops=(16*(3*(6+8+8)) + 15*3*2)*volume*ncall; // == 66*16 + == 1146
std::cout<<GridLogMessage << "Called Ds"<<std::endl;
std::cout<<GridLogMessage << "norm result "<< norm2(result)<<std::endl;
std::cout<<GridLogMessage << "norm ref "<< norm2(ref)<<std::endl;
std::cout<<GridLogMessage << "mflop/s = "<< flops/(t1-t0)<<std::endl;
err = ref-result;
std::cout<<GridLogMessage << "norm diff "<< norm2(err)<<std::endl;
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
std::cout<<GridLogMessage<<"= Testing that Deo + Doe = Dunprec "<<std::endl;
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
FermionField src_e (&RBGrid);
FermionField src_o (&RBGrid);
FermionField r_e (&RBGrid);
FermionField r_o (&RBGrid);
FermionField r_eo (&Grid);
pickCheckerboard(Even,src_e,src);
pickCheckerboard(Odd,src_o,src);
Ds.Meooe(src_e,r_o); std::cout<<GridLogMessage<<"Applied Meo"<<std::endl;
Ds.Meooe(src_o,r_e); std::cout<<GridLogMessage<<"Applied Moe"<<std::endl;
Ds.Dhop (src,ref,DaggerNo);
setCheckerboard(r_eo,r_o);
setCheckerboard(r_eo,r_e);
err= ref - r_eo;
std::cout<<GridLogMessage << "EO norm diff "<< norm2(err)<< " "<<norm2(ref)<< " " << norm2(r_eo) <<std::endl;
std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
std::cout<<GridLogMessage<<"= Test Ddagger is the dagger of D by requiring "<<std::endl;
std::cout<<GridLogMessage<<"= < phi | Deo | chi > * = < chi | Deo^dag| phi> "<<std::endl;
std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
FermionField chi_e (&RBGrid);
FermionField chi_o (&RBGrid);
FermionField dchi_e (&RBGrid);
FermionField dchi_o (&RBGrid);
FermionField phi_e (&RBGrid);
FermionField phi_o (&RBGrid);
FermionField dphi_e (&RBGrid);
FermionField dphi_o (&RBGrid);
pickCheckerboard(Even,chi_e,chi);
pickCheckerboard(Odd ,chi_o,chi);
pickCheckerboard(Even,phi_e,phi);
pickCheckerboard(Odd ,phi_o,phi);
Ds.Meooe(chi_e,dchi_o);
Ds.Meooe(chi_o,dchi_e);
Ds.MeooeDag(phi_e,dphi_o);
Ds.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<<GridLogMessage <<"e "<<pDce<<" "<<cDpe <<std::endl;
std::cout<<GridLogMessage <<"o "<<pDco<<" "<<cDpo <<std::endl;
std::cout<<GridLogMessage <<"pDce - conj(cDpo) "<< pDce-conj(cDpo) <<std::endl;
std::cout<<GridLogMessage <<"pDco - conj(cDpe) "<< pDco-conj(cDpe) <<std::endl;
std::cout<<GridLogMessage <<"e "<<pDce<<" "<<cDpe <<std::endl;
std::cout<<GridLogMessage <<"o "<<pDco<<" "<<cDpo <<std::endl;
std::cout<<GridLogMessage <<"pDce - conj(cDpo) "<< pDce-conj(cDpo) <<std::endl;
std::cout<<GridLogMessage <<"pDco - conj(cDpe) "<< pDco-conj(cDpe) <<std::endl;
std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
std::cout<<GridLogMessage<<"= Test MeeInv Mee = 1 "<<std::endl;
std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
pickCheckerboard(Even,chi_e,chi);
pickCheckerboard(Odd ,chi_o,chi);
Ds.Mooee(chi_e,src_e);
Ds.MooeeInv(src_e,phi_e);
Ds.Mooee(chi_o,src_o);
Ds.MooeeInv(src_o,phi_o);
setCheckerboard(phi,phi_e);
setCheckerboard(phi,phi_o);
err = phi-chi;
std::cout<<GridLogMessage << "norm diff "<< norm2(err)<< std::endl;
std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
std::cout<<GridLogMessage<<"= Test MeeInvDag MeeDag = 1 "<<std::endl;
std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
pickCheckerboard(Even,chi_e,chi);
pickCheckerboard(Odd ,chi_o,chi);
Ds.MooeeDag(chi_e,src_e);
Ds.MooeeInvDag(src_e,phi_e);
Ds.MooeeDag(chi_o,src_o);
Ds.MooeeInvDag(src_o,phi_o);
setCheckerboard(phi,phi_e);
setCheckerboard(phi,phi_o);
err = phi-chi;
std::cout<<GridLogMessage << "norm diff "<< norm2(err)<< std::endl;
std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
std::cout<<GridLogMessage<<"= Test MpcDagMpc is Hermitian "<<std::endl;
std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
random(pRNG,phi);
random(pRNG,chi);
pickCheckerboard(Even,chi_e,chi);
pickCheckerboard(Odd ,chi_o,chi);
pickCheckerboard(Even,phi_e,phi);
pickCheckerboard(Odd ,phi_o,phi);
SchurDiagMooeeOperator<ImprovedStaggeredFermionR,FermionField> HermOpEO(Ds);
HermOpEO.MpcDagMpc(chi_e,dchi_e,t1,t2);
HermOpEO.MpcDagMpc(chi_o,dchi_o,t1,t2);
HermOpEO.MpcDagMpc(phi_e,dphi_e,t1,t2);
HermOpEO.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<<GridLogMessage <<"e "<<pDce<<" "<<cDpe <<std::endl;
std::cout<<GridLogMessage <<"o "<<pDco<<" "<<cDpo <<std::endl;
std::cout<<GridLogMessage <<"pDce - conj(cDpo) "<< pDco-conj(cDpo) <<std::endl;
std::cout<<GridLogMessage <<"pDco - conj(cDpe) "<< pDce-conj(cDpe) <<std::endl;
Grid_finalize();
}

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/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./benchmarks/Benchmark_wilson.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>
using namespace std;
using namespace Grid;
using namespace Grid::QCD;
int main (int argc, char ** argv)
{
Grid_init(&argc,&argv);
std::vector<int> latt_size = GridDefaultLatt();
std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
std::vector<int> mpi_layout = GridDefaultMpi();
std::cout << GridLogMessage << "Making s innermost grids"<<std::endl;
const int Ls=16;
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);
int threads = GridThread::GetThreads();
std::cout<<GridLogMessage << "Grid is setup to use "<<threads<<" threads"<<std::endl;
std::cout<<GridLogMessage << "Grid floating point word size is REALF"<< sizeof(RealF)<<std::endl;
std::cout<<GridLogMessage << "Grid floating point word size is REALD"<< sizeof(RealD)<<std::endl;
std::cout<<GridLogMessage << "Grid floating point word size is REAL"<< sizeof(Real)<<std::endl;
std::vector<int> seeds({1,2,3,4});
GridParallelRNG pRNG4(UGrid);
GridParallelRNG pRNG5(FGrid);
pRNG4.SeedFixedIntegers(seeds);
pRNG5.SeedFixedIntegers(seeds);
typedef typename ImprovedStaggeredFermion5DR::FermionField FermionField;
typedef typename ImprovedStaggeredFermion5DR::ComplexField ComplexField;
typename ImprovedStaggeredFermion5DR::ImplParams params;
FermionField src (FGrid); random(pRNG5,src);
FermionField result(FGrid); result=zero;
FermionField ref(FGrid); ref=zero;
FermionField tmp(FGrid); tmp=zero;
FermionField err(FGrid); tmp=zero;
FermionField phi (FGrid); random(pRNG5,phi);
FermionField chi (FGrid); random(pRNG5,chi);
LatticeGaugeField Umu(UGrid); SU3::ColdConfiguration(pRNG4,Umu);
double volume=Ls;
for(int mu=0;mu<Nd;mu++){
volume=volume*latt_size[mu];
}
////////////////////////////////////
// Naive implementation needs to
// replicate across fifth dimension
////////////////////////////////////
LatticeGaugeField Umu5d(FGrid);
for(int ss=0;ss<Umu._grid->oSites();ss++){
for(int s=0;s<Ls;s++){
Umu5d._odata[Ls*ss+s] = Umu._odata[ss];
}
}
std::vector<LatticeColourMatrix> U(4,FGrid);
for(int mu=0;mu<Nd;mu++){
U[mu] = PeekIndex<LorentzIndex>(Umu5d,mu);
if ( mu!=0 ) U[mu]=zero;
PokeIndex<LorentzIndex>(Umu5d,U[mu],mu);
}
std::vector<LatticeColourMatrix> Ua(4,UGrid);
for(int mu=0;mu<Nd;mu++){
Ua[mu] = PeekIndex<LorentzIndex>(Umu,mu);
if ( mu!=0 ) {
Ua[mu]=zero;
}
PokeIndex<LorentzIndex>(Umu,Ua[mu],mu);
}
RealD mass=0.1;
RealD c1=9.0/8.0;
RealD c2=-1.0/24.0;
RealD u0=1.0;
{ // Simple improved staggered implementation
ref = zero;
RealD c1tad = 0.5*c1/u0;
RealD c2tad = 0.5*c2/u0/u0/u0;
Lattice<iScalar<vInteger> > coor(FGrid);
Lattice<iScalar<vInteger> > x(FGrid); LatticeCoordinate(x,1); // s innermost
Lattice<iScalar<vInteger> > y(FGrid); LatticeCoordinate(y,2);
Lattice<iScalar<vInteger> > z(FGrid); LatticeCoordinate(z,3);
Lattice<iScalar<vInteger> > t(FGrid); LatticeCoordinate(t,4);
Lattice<iScalar<vInteger> > lin_z(FGrid); lin_z=x+y;
Lattice<iScalar<vInteger> > lin_t(FGrid); lin_t=x+y+z;
for(int mu=0;mu<Nd;mu++){
// Staggered Phase.
ComplexField phases(FGrid); phases=1.0;
if ( mu == 1 ) phases = where( mod(x ,2)==(Integer)0, phases,-phases);
if ( mu == 2 ) phases = where( mod(lin_z,2)==(Integer)0, phases,-phases);
if ( mu == 3 ) phases = where( mod(lin_t,2)==(Integer)0, phases,-phases);
tmp = PeriodicBC::CovShiftForward(U[mu],mu+1,src);
ref = ref +c1tad*tmp*phases; // Forward 1 hop
tmp = PeriodicBC::CovShiftForward(U[mu],mu+1,tmp); // 2 hop
tmp = PeriodicBC::CovShiftForward(U[mu],mu+1,tmp); // 3 hop
ref = ref +c2tad*tmp*phases; // Forward 3 hop
tmp = PeriodicBC::CovShiftBackward(U[mu],mu+1,src);
ref = ref -c1tad*tmp*phases; // Forward 3 hop
tmp = PeriodicBC::CovShiftBackward(U[mu],mu+1,tmp);
tmp = PeriodicBC::CovShiftBackward(U[mu],mu+1,tmp);
ref = ref -c2tad*tmp*phases; // Forward 3 hop
}
}
ImprovedStaggeredFermion5DR Ds(Umu,Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,c1,c2,u0,params);
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
std::cout<<GridLogMessage<<"= Testing Dhop against cshift implementation "<<std::endl;
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
std::cout<<GridLogMessage << "Calling Ds"<<std::endl;
int ncall=1000;
double t0=usecond();
for(int i=0;i<ncall;i++){
Ds.Dhop(src,result,0);
}
double t1=usecond();
double t2;
double flops=(16*(3*(6+8+8)) + 15*3*2)*volume*ncall; // == 66*16 + == 1146
std::cout<<GridLogMessage << "Called Ds"<<std::endl;
std::cout<<GridLogMessage << "norm result "<< norm2(result)<<std::endl;
std::cout<<GridLogMessage << "norm ref "<< norm2(ref)<<std::endl;
std::cout<<GridLogMessage << "mflop/s = "<< flops/(t1-t0)<<std::endl;
err = ref-result;
std::cout<<GridLogMessage << "norm diff "<< norm2(err)<<std::endl;
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
std::cout<<GridLogMessage<<"= Testing that Deo + Doe = Dunprec "<<std::endl;
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
FermionField src_e (FrbGrid);
FermionField src_o (FrbGrid);
FermionField r_e (FrbGrid);
FermionField r_o (FrbGrid);
FermionField r_eo (FGrid);
pickCheckerboard(Even,src_e,src);
pickCheckerboard(Odd,src_o,src);
Ds.Meooe(src_e,r_o); std::cout<<GridLogMessage<<"Applied Meo"<<std::endl;
Ds.Meooe(src_o,r_e); std::cout<<GridLogMessage<<"Applied Moe"<<std::endl;
Ds.Dhop (src,ref,DaggerNo);
setCheckerboard(r_eo,r_o);
setCheckerboard(r_eo,r_e);
err= ref - r_eo;
std::cout<<GridLogMessage << "EO norm diff "<< norm2(err)<< " "<<norm2(ref)<< " " << norm2(r_eo) <<std::endl;
std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
std::cout<<GridLogMessage<<"= Test Ddagger is the dagger of D by requiring "<<std::endl;
std::cout<<GridLogMessage<<"= < phi | Deo | chi > * = < chi | Deo^dag| phi> "<<std::endl;
std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
FermionField chi_e (FrbGrid);
FermionField chi_o (FrbGrid);
FermionField dchi_e (FrbGrid);
FermionField dchi_o (FrbGrid);
FermionField phi_e (FrbGrid);
FermionField phi_o (FrbGrid);
FermionField dphi_e (FrbGrid);
FermionField dphi_o (FrbGrid);
pickCheckerboard(Even,chi_e,chi);
pickCheckerboard(Odd ,chi_o,chi);
pickCheckerboard(Even,phi_e,phi);
pickCheckerboard(Odd ,phi_o,phi);
Ds.Meooe(chi_e,dchi_o);
Ds.Meooe(chi_o,dchi_e);
Ds.MeooeDag(phi_e,dphi_o);
Ds.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<<GridLogMessage <<"e "<<pDce<<" "<<cDpe <<std::endl;
std::cout<<GridLogMessage <<"o "<<pDco<<" "<<cDpo <<std::endl;
std::cout<<GridLogMessage <<"pDce - conj(cDpo) "<< pDce-conj(cDpo) <<std::endl;
std::cout<<GridLogMessage <<"pDco - conj(cDpe) "<< pDco-conj(cDpe) <<std::endl;
std::cout<<GridLogMessage <<"e "<<pDce<<" "<<cDpe <<std::endl;
std::cout<<GridLogMessage <<"o "<<pDco<<" "<<cDpo <<std::endl;
std::cout<<GridLogMessage <<"pDce - conj(cDpo) "<< pDce-conj(cDpo) <<std::endl;
std::cout<<GridLogMessage <<"pDco - conj(cDpe) "<< pDco-conj(cDpe) <<std::endl;
std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
std::cout<<GridLogMessage<<"= Test MeeInv Mee = 1 "<<std::endl;
std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
pickCheckerboard(Even,chi_e,chi);
pickCheckerboard(Odd ,chi_o,chi);
Ds.Mooee(chi_e,src_e);
Ds.MooeeInv(src_e,phi_e);
Ds.Mooee(chi_o,src_o);
Ds.MooeeInv(src_o,phi_o);
setCheckerboard(phi,phi_e);
setCheckerboard(phi,phi_o);
err = phi-chi;
std::cout<<GridLogMessage << "norm diff "<< norm2(err)<< std::endl;
std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
std::cout<<GridLogMessage<<"= Test MeeInvDag MeeDag = 1 "<<std::endl;
std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
pickCheckerboard(Even,chi_e,chi);
pickCheckerboard(Odd ,chi_o,chi);
Ds.MooeeDag(chi_e,src_e);
Ds.MooeeInvDag(src_e,phi_e);
Ds.MooeeDag(chi_o,src_o);
Ds.MooeeInvDag(src_o,phi_o);
setCheckerboard(phi,phi_e);
setCheckerboard(phi,phi_o);
err = phi-chi;
std::cout<<GridLogMessage << "norm diff "<< norm2(err)<< std::endl;
std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
std::cout<<GridLogMessage<<"= Test MpcDagMpc is Hermitian "<<std::endl;
std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
random(pRNG5,phi);
random(pRNG5,chi);
pickCheckerboard(Even,chi_e,chi);
pickCheckerboard(Odd ,chi_o,chi);
pickCheckerboard(Even,phi_e,phi);
pickCheckerboard(Odd ,phi_o,phi);
SchurDiagMooeeOperator<ImprovedStaggeredFermion5DR,FermionField> HermOpEO(Ds);
HermOpEO.MpcDagMpc(chi_e,dchi_e,t1,t2);
HermOpEO.MpcDagMpc(chi_o,dchi_o,t1,t2);
HermOpEO.MpcDagMpc(phi_e,dphi_e,t1,t2);
HermOpEO.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<<GridLogMessage <<"e "<<pDce<<" "<<cDpe <<std::endl;
std::cout<<GridLogMessage <<"o "<<pDco<<" "<<cDpo <<std::endl;
std::cout<<GridLogMessage <<"pDce - conj(cDpo) "<< pDco-conj(cDpo) <<std::endl;
std::cout<<GridLogMessage <<"pDco - conj(cDpe) "<< pDce-conj(cDpe) <<std::endl;
Grid_finalize();
}