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Mobius force improvement
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paboyle
287
tests/core/Test_mobius_even_odd.cc
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287
tests/core/Test_mobius_even_odd.cc
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/*************************************************************************************
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Grid physics library, www.github.com/paboyle/Grid
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Source file: ./tests/Test_dwf_even_odd.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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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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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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GridCartesian * UGrid = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplex::Nsimd()),GridDefaultMpi());
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GridCartesian * FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid);
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GridRedBlackCartesian * UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(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 RNG4(UGrid); RNG4.SeedFixedIntegers(seeds4);
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GridParallelRNG RNG5(FGrid); RNG5.SeedFixedIntegers(seeds5);
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LatticeFermion src (FGrid); random(RNG5,src);
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LatticeFermion phi (FGrid); random(RNG5,phi);
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LatticeFermion chi (FGrid); random(RNG5,chi);
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LatticeFermion result(FGrid); result=zero;
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LatticeFermion ref(FGrid); ref=zero;
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LatticeFermion tmp(FGrid); tmp=zero;
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LatticeFermion err(FGrid); tmp=zero;
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LatticeGaugeField Umu(UGrid); random(RNG4,Umu);
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std::vector<LatticeColourMatrix> U(4,UGrid);
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// Only one non-zero (y)
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Umu=zero;
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for(int nn=0;nn<Nd;nn++){
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random(RNG4,U[nn]);
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if ( nn>0 )
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U[nn]=zero;
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PokeIndex<LorentzIndex>(Umu,U[nn],nn);
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}
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RealD mass=0.1;
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RealD M5 =1.8;
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std::vector < std::complex<double> > omegas;
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#if 0
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for(int i=0;i<Ls;i++){
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double imag = 0.;
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if (i==0) imag=1.;
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if (i==Ls-1) imag=-1.;
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std::complex<double> temp (0.25+0.01*i, imag*0.01);
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omegas.push_back(temp);
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}
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#else
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omegas.push_back( std::complex<double>(1.45806438985048,-0) );
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omegas.push_back( std::complex<double>(1.18231318389348,-0) );
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omegas.push_back( std::complex<double>(0.830951166685955,-0) );
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omegas.push_back( std::complex<double>(0.542352409156791,-0) );
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omegas.push_back( std::complex<double>(0.341985020453729,-0) );
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omegas.push_back( std::complex<double>(0.21137902619029,-0) );
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omegas.push_back( std::complex<double>(0.126074299502912,-0) );
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omegas.push_back( std::complex<double>(0.0990136651962626,-0) );
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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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#endif
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MobiusFermionR Ddwf(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mass, M5, 0.5,0.5);
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// DomainWallFermionR Ddwf(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5);
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LatticeFermion src_e (FrbGrid);
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LatticeFermion src_o (FrbGrid);
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LatticeFermion r_e (FrbGrid);
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LatticeFermion r_o (FrbGrid);
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LatticeFermion r_eo (FGrid);
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LatticeFermion r_eeoo(FGrid);
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std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
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std::cout<<GridLogMessage<<"= Testing that Meo + Moe + Moo + Mee = Munprec "<<std::endl;
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std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
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pickCheckerboard(Even,src_e,src);
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pickCheckerboard(Odd,src_o,src);
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Ddwf.Meooe(src_e,r_o); std::cout<<GridLogMessage<<"Applied Meo"<<std::endl;
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Ddwf.Meooe(src_o,r_e); std::cout<<GridLogMessage<<"Applied Moe"<<std::endl;
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setCheckerboard(r_eo,r_o);
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setCheckerboard(r_eo,r_e);
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Ddwf.Mooee(src_e,r_e); std::cout<<GridLogMessage<<"Applied Mee"<<std::endl;
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Ddwf.Mooee(src_o,r_o); std::cout<<GridLogMessage<<"Applied Moo"<<std::endl;
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setCheckerboard(r_eeoo,r_e);
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setCheckerboard(r_eeoo,r_o);
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r_eo=r_eo+r_eeoo;
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Ddwf.M(src,ref);
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// std::cout<<GridLogMessage << r_eo<<std::endl;
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// std::cout<<GridLogMessage << ref <<std::endl;
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err= ref - r_eo;
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std::cout<<GridLogMessage << "EO norm diff "<< norm2(err)<< " "<<norm2(ref)<< " " << norm2(r_eo) <<std::endl;
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LatticeComplex cerr(FGrid);
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cerr = localInnerProduct(err,err);
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// std::cout<<GridLogMessage << cerr<<std::endl;
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std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
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std::cout<<GridLogMessage<<"= Test MooeeDagger is the dagger of Mooee by requiring "<<std::endl;
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std::cout<<GridLogMessage<<"= < phi | Deo | chi > * = < chi | Deo^dag| phi> "<<std::endl;
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std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
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LatticeFermion chi_e (FrbGrid);
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LatticeFermion chi_o (FrbGrid);
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LatticeFermion dchi_e (FrbGrid);
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LatticeFermion dchi_o (FrbGrid);
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LatticeFermion phi_e (FrbGrid);
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LatticeFermion phi_o (FrbGrid);
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LatticeFermion dphi_e (FrbGrid);
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LatticeFermion dphi_o (FrbGrid);
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pickCheckerboard(Even,chi_e,chi);
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pickCheckerboard(Odd ,chi_o,chi);
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pickCheckerboard(Even,phi_e,phi);
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pickCheckerboard(Odd ,phi_o,phi);
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Ddwf.Mooee(chi_e,dchi_o);
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Ddwf.Mooee(chi_o,dchi_e);
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Ddwf.MooeeDag(phi_e,dphi_o);
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Ddwf.MooeeDag(phi_o,dphi_e);
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ComplexD pDce = innerProduct(phi_e,dchi_e);
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ComplexD pDco = innerProduct(phi_o,dchi_o);
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ComplexD cDpe = innerProduct(chi_e,dphi_e);
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ComplexD cDpo = innerProduct(chi_o,dphi_o);
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std::cout<<GridLogMessage <<"e "<<pDce<<" "<<cDpe <<std::endl;
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std::cout<<GridLogMessage <<"o "<<pDco<<" "<<cDpo <<std::endl;
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std::cout<<GridLogMessage <<"pDce - conj(cDpo) "<< pDce-conj(cDpo) <<std::endl;
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std::cout<<GridLogMessage <<"pDco - conj(cDpe) "<< pDco-conj(cDpe) <<std::endl;
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std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
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std::cout<<GridLogMessage<<"= Test Ddagger is the dagger of D by requiring "<<std::endl;
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std::cout<<GridLogMessage<<"= < phi | Deo | chi > * = < chi | Deo^dag| phi> "<<std::endl;
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std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
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pickCheckerboard(Even,chi_e,chi);
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pickCheckerboard(Odd ,chi_o,chi);
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pickCheckerboard(Even,phi_e,phi);
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pickCheckerboard(Odd ,phi_o,phi);
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Ddwf.Meooe(chi_e,dchi_o);
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Ddwf.Meooe(chi_o,dchi_e);
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Ddwf.MeooeDag(phi_e,dphi_o);
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Ddwf.MeooeDag(phi_o,dphi_e);
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pDce = innerProduct(phi_e,dchi_e);
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pDco = innerProduct(phi_o,dchi_o);
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cDpe = innerProduct(chi_e,dphi_e);
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cDpo = innerProduct(chi_o,dphi_o);
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std::cout<<GridLogMessage <<"e "<<pDce<<" "<<cDpe <<std::endl;
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std::cout<<GridLogMessage <<"o "<<pDco<<" "<<cDpo <<std::endl;
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std::cout<<GridLogMessage <<"pDce - conj(cDpo) "<< pDce-conj(cDpo) <<std::endl;
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std::cout<<GridLogMessage <<"pDco - conj(cDpe) "<< pDco-conj(cDpe) <<std::endl;
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std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
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std::cout<<GridLogMessage<<"= Test MeeInv Mee = 1 "<<std::endl;
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std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
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pickCheckerboard(Even,chi_e,chi);
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pickCheckerboard(Odd ,chi_o,chi);
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Ddwf.Mooee(chi_e,src_e);
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Ddwf.MooeeInv(src_e,phi_e);
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Ddwf.Mooee(chi_o,src_o);
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Ddwf.MooeeInv(src_o,phi_o);
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setCheckerboard(phi,phi_e);
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setCheckerboard(phi,phi_o);
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err = phi-chi;
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std::cout<<GridLogMessage << "norm diff "<< norm2(err)<< std::endl;
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std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
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std::cout<<GridLogMessage<<"= Test MeeInvDag MeeDag = 1 "<<std::endl;
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std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
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pickCheckerboard(Even,chi_e,chi);
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pickCheckerboard(Odd ,chi_o,chi);
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Ddwf.MooeeDag(chi_e,src_e);
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Ddwf.MooeeInvDag(src_e,phi_e);
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Ddwf.MooeeDag(chi_o,src_o);
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Ddwf.MooeeInvDag(src_o,phi_o);
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setCheckerboard(phi,phi_e);
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setCheckerboard(phi,phi_o);
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err = phi-chi;
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std::cout<<GridLogMessage << "norm diff "<< norm2(err)<< std::endl;
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std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
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std::cout<<GridLogMessage<<"= Test MpcDagMpc is Hermitian "<<std::endl;
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std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
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random(RNG5,phi);
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random(RNG5,chi);
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pickCheckerboard(Even,chi_e,chi);
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pickCheckerboard(Odd ,chi_o,chi);
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pickCheckerboard(Even,phi_e,phi);
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pickCheckerboard(Odd ,phi_o,phi);
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RealD t1,t2;
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SchurDiagMooeeOperator<MobiusFermionR,LatticeFermion> HermOpEO(Ddwf);
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HermOpEO.MpcDagMpc(chi_e,dchi_e,t1,t2);
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HermOpEO.MpcDagMpc(chi_o,dchi_o,t1,t2);
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HermOpEO.MpcDagMpc(phi_e,dphi_e,t1,t2);
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HermOpEO.MpcDagMpc(phi_o,dphi_o,t1,t2);
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pDce = innerProduct(phi_e,dchi_e);
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pDco = innerProduct(phi_o,dchi_o);
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cDpe = innerProduct(chi_e,dphi_e);
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cDpo = innerProduct(chi_o,dphi_o);
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std::cout<<GridLogMessage <<"e "<<pDce<<" "<<cDpe <<std::endl;
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std::cout<<GridLogMessage <<"o "<<pDco<<" "<<cDpo <<std::endl;
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std::cout<<GridLogMessage <<"pDce - conj(cDpo) "<< pDco-conj(cDpo) <<std::endl;
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std::cout<<GridLogMessage <<"pDco - conj(cDpe) "<< pDce-conj(cDpe) <<std::endl;
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Grid_finalize();
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}
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