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Grid/tests/debug/Test_cayley_mres.cc
Peter Boyle 29ae5615c0 Seqeuential fix
2020-04-29 03:05:15 -04:00

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/*************************************************************************************
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 TestConserved(What & Ddwf, What & Ddwfrev,
LatticeGaugeField &Umu,
GridCartesian * FGrid, GridRedBlackCartesian * FrbGrid,
GridCartesian * UGrid, GridRedBlackCartesian * UrbGrid,
RealD mass, RealD M5,
GridParallelRNG *RNG4,
GridParallelRNG *RNG5);
Gamma::Algebra Gmu [] = {
Gamma::Algebra::GammaX,
Gamma::Algebra::GammaY,
Gamma::Algebra::GammaZ,
Gamma::Algebra::GammaT,
Gamma::Algebra::Gamma5
};
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=10;
std::vector < ComplexD > omegas;
std::vector < ComplexD > omegasrev(Ls);
#if 1
omegas.push_back( std::complex<double>(1.45806438985048,-0) );
omegas.push_back( std::complex<double>(0.830951166685955,-0) );
omegas.push_back( std::complex<double>(0.341985020453729,-0) );
omegas.push_back( std::complex<double>(0.126074299502912,-0) );
// omegas.push_back( std::complex<double>(0.0686324988446592,0.0550658530827402) );
// omegas.push_back( std::complex<double>(0.0686324988446592,-0.0550658530827402) );
omegas.push_back( std::complex<double>(0.0686324988446592,0));
omegas.push_back( std::complex<double>(0.0686324988446592,0));
omegas.push_back( std::complex<double>(0.0990136651962626,-0) );
omegas.push_back( std::complex<double>(0.21137902619029,-0) );
omegas.push_back( std::complex<double>(0.542352409156791,-0) );
omegas.push_back( std::complex<double>(1.18231318389348,-0) );
#else
omegas.push_back( std::complex<double>(0.8,0.0));
omegas.push_back( std::complex<double>(1.1,0.0));
omegas.push_back( std::complex<double>(1.2,0.0));
omegas.push_back( std::complex<double>(1.3,0.0));
omegas.push_back( std::complex<double>(0.5,0.2));
omegas.push_back( std::complex<double>(0.5,-0.2));
omegas.push_back( std::complex<double>(0.8,0.0));
omegas.push_back( std::complex<double>(1.1,0.0));
omegas.push_back( std::complex<double>(1.2,0.0));
omegas.push_back( std::complex<double>(1.3,0.0));
#endif
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);
SU3::ColdConfiguration(Umu);
// SU3::HotConfiguration(RNG4,Umu);
RealD mass=0.3;
RealD M5 =1.0;
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);
TestConserved<DomainWallFermionR>(Ddwf,Ddwf,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);
TestConserved<MobiusFermionR>(Dmob,Dmob,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);
TestConserved<ScaledShamirFermionR>(Dsham,Dsham,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;
for(int s=0;s<Ls;s++) omegasrev[s]=conjugate(omegas[Ls-1-s]);
// for(int s=0;s<Ls;s++) omegasrev[s]=omegas[Ls-1-s];
ZMobiusFermionR ZDmob(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5,omegas,b,c);
ZMobiusFermionR ZDmobrev(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5,omegasrev,b,c);
TestConserved<ZMobiusFermionR>(ZDmob,ZDmobrev,Umu,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
Grid_finalize();
}
template<class Action>
void TestConserved(Action & Ddwf,
Action & Ddwfrev,
LatticeGaugeField &Umu,
GridCartesian * FGrid, GridRedBlackCartesian * FrbGrid,
GridCartesian * UGrid, GridRedBlackCartesian * UrbGrid,
RealD mass, RealD M5,
GridParallelRNG *RNG4,
GridParallelRNG *RNG5)
{
int Ls=Ddwf.Ls;
LatticePropagator phys_src(UGrid);
std::vector<LatticeColourMatrix> U(4,UGrid);
LatticePropagator seqsrc(FGrid);
LatticePropagator prop5(FGrid);
LatticePropagator prop5rev(FGrid);
LatticePropagator prop4(UGrid);
LatticePropagator Axial_mu(UGrid);
LatticePropagator Vector_mu(UGrid);
LatticeComplex PA (UGrid);
LatticeComplex SV (UGrid);
LatticeComplex VV (UGrid);
LatticeComplex PJ5q(UGrid);
LatticeComplex PP (UGrid);
LatticePropagator seqprop(UGrid);
SpinColourMatrix kronecker; kronecker=1.0;
Coordinate coor({0,0,0,0});
phys_src=Zero();
pokeSite(kronecker,phys_src,coor);
MdagMLinearOperator<Action,LatticeFermion> HermOp(Ddwf);
MdagMLinearOperator<Action,LatticeFermion> HermOprev(Ddwfrev);
ConjugateGradient<LatticeFermion> CG(1.0e-16,100000);
for(int s=0;s<Nd;s++){
for(int c=0;c<Nc;c++){
LatticeFermion src4 (UGrid);
PropToFerm<Action>(src4,phys_src,s,c);
LatticeFermion src5 (FGrid);
Ddwf.ImportPhysicalFermionSource(src4,src5);
LatticeFermion result5(FGrid); result5=Zero();
// CGNE
LatticeFermion Mdagsrc5 (FGrid);
Ddwf.Mdag(src5,Mdagsrc5);
CG(HermOp,Mdagsrc5,result5);
FermToProp<Action>(prop5,result5,s,c);
LatticeFermion result4(UGrid);
Ddwf.ExportPhysicalFermionSolution(result5,result4);
FermToProp<Action>(prop4,result4,s,c);
Ddwfrev.ImportPhysicalFermionSource(src4,src5);
Ddwfrev.Mdag(src5,Mdagsrc5);
CG(HermOprev,Mdagsrc5,result5);
FermToProp<Action>(prop5rev,result5,s,c);
}
}
#if 1
auto curr = Current::Axial;
const int mu_J=Nd-1;
#else
auto curr = Current::Vector;
const int mu_J=0;
#endif
const int t_J=0;
LatticeComplex ph (UGrid); ph=1.0;
Ddwf.SeqConservedCurrent(prop5,
seqsrc,
phys_src,
curr,
mu_J,
t_J,
t_J,// whole lattice
ph);
for(int s=0;s<Nd;s++){
for(int c=0;c<Nc;c++){
LatticeFermion src5 (FGrid);
PropToFerm<Action>(src5,seqsrc,s,c);
LatticeFermion result5(FGrid); result5=Zero();
// CGNE
LatticeFermion Mdagsrc5 (FGrid);
Ddwf.Mdag(src5,Mdagsrc5);
CG(HermOp,Mdagsrc5,result5);
LatticeFermion result4(UGrid);
Ddwf.ExportPhysicalFermionSolution(result5,result4);
FermToProp<Action>(seqprop,result4,s,c);
}
}
Gamma g5(Gamma::Algebra::Gamma5);
Gamma gT(Gamma::Algebra::GammaT);
std::vector<TComplex> sumPA;
std::vector<TComplex> sumSV;
std::vector<TComplex> sumVV;
std::vector<TComplex> sumPP;
std::vector<TComplex> sumPJ5q;
Ddwf.ContractConservedCurrent(prop5rev,prop5,Axial_mu,phys_src,Current::Axial,Tdir);
Ddwf.ContractConservedCurrent(prop5rev,prop5,Vector_mu,phys_src,Current::Vector,Tdir);
Ddwf.ContractJ5q(prop5,PJ5q);
PA = trace(g5*Axial_mu);
SV = trace(Vector_mu);
VV = trace(gT*Vector_mu);
PP = trace(adj(prop4)*prop4);
// Spatial sum
sliceSum(PA,sumPA,Tdir);
sliceSum(SV,sumSV,Tdir);
sliceSum(VV,sumVV,Tdir);
sliceSum(PP,sumPP,Tdir);
sliceSum(PJ5q,sumPJ5q,Tdir);
int Nt=sumPA.size();
for(int t=0;t<Nt;t++){
std::cout <<" SV "<<real(TensorRemove(sumSV[t]));
std::cout <<" VV "<<real(TensorRemove(sumVV[t]))<<std::endl;
}
for(int t=0;t<Nt;t++){
std::cout <<" PAc "<<real(TensorRemove(sumPA[t]));
std::cout <<" PJ5q "<<real(TensorRemove(sumPJ5q[t]));
std::cout <<" Ward Identity defect " <<real(TensorRemove(sumPA[t]-sumPA[(t-1+Nt)%Nt] - 2.0*(Ddwf.mass*sumPP[t] + sumPJ5q[t]) ))<<"\n";
}
///////////////////////////////
// 3pt vs 2pt check
///////////////////////////////
{
Gamma::Algebra gA = (curr == Current::Axial) ? Gamma::Algebra::Gamma5 : Gamma::Algebra::Identity;
Gamma g(gA);
LatticePropagator cur(UGrid);
LatticePropagator tmp(UGrid);
LatticeComplex c(UGrid);
SpinColourMatrix qSite;
peekSite(qSite, seqprop, coor);
Complex test_S, test_V, check_S, check_V;
std::vector<TComplex> check_buf;
test_S = trace(qSite*g);
test_V = trace(qSite*g*Gamma::gmu[mu_J]);
Ddwf.ContractConservedCurrent(prop5rev,prop5,cur,phys_src,curr,mu_J);
c = trace(cur*g);
sliceSum(c, check_buf, Tp);
check_S = TensorRemove(check_buf[t_J]);
auto gmu=Gamma::gmu[mu_J];
c = trace(cur*g*gmu);
sliceSum(c, check_buf, Tp);
check_V = TensorRemove(check_buf[t_J]);
std::cout<<GridLogMessage << std::setprecision(14)<<"Test S = " << abs(test_S) << std::endl;
std::cout<<GridLogMessage << "Test V = " << abs(test_V) << std::endl;
std::cout<<GridLogMessage << "Check S = " << abs(check_S) << std::endl;
std::cout<<GridLogMessage << "Check V = " << abs(check_V) << std::endl;
// Check difference = 0
check_S = check_S - test_S;
check_V = check_V - test_V;
std::cout<<GridLogMessage << "Consistency check for sequential conserved " <<std::endl;
std::cout<<GridLogMessage << "Diff S = " << abs(check_S) << std::endl;
std::cout<<GridLogMessage << "Diff V = " << abs(check_V) << std::endl;
}
}
/*
#if 0
template<class Action>
void TestConserved1(Action & Ddwf, Action & Ddwfrev,
LatticeGaugeField &Umu,
GridCartesian * FGrid, GridRedBlackCartesian * FrbGrid,
GridCartesian * UGrid, GridRedBlackCartesian * UrbGrid,
RealD mass, RealD M5,
GridParallelRNG *RNG4,
GridParallelRNG *RNG5)
{
int Ls=Ddwf.Ls;
LatticePropagator phys_src(UGrid);
std::vector<LatticeColourMatrix> U(4,UGrid);
LatticePropagator prop5(FGrid);
LatticePropagator prop5rev(FGrid);
LatticePropagator prop4(UGrid);
LatticePropagator Axial_mu(UGrid);
LatticeComplex PA (UGrid);
LatticeComplex PAxyz(UGrid);
LatticeComplex PJ5q(UGrid);
LatticeComplex PP (UGrid);
std::vector<LatticePropagator> prop(Ls,UGrid);
std::vector<LatticePropagator> proprev(Ls,UGrid);
SpinColourMatrix kronecker; kronecker=1.0;
std::cout << kronecker << std::endl;
phys_src=Zero();
pokeSite(kronecker,phys_src,Coordinate({0,0,0,0}));
MdagMLinearOperator<Action,LatticeFermion> HermOp(Ddwf);
MdagMLinearOperator<Action,LatticeFermion> HermOprev(Ddwfrev);
ConjugateGradient<LatticeFermion> CG(1.0e-12,10000);
for(int s=0;s<Nd;s++){
for(int c=0;c<Nc;c++){
LatticeFermion src4 (UGrid);
PropToFerm<Action>(src4,phys_src,s,c);
LatticeFermion src5 (FGrid);
Ddwf.ImportPhysicalFermionSource(src4,src5);
LatticeFermion result5(FGrid); result5=Zero();
// CGNE
LatticeFermion Mdagsrc5 (FGrid);
Ddwf.Mdag(src5,Mdagsrc5);
CG(HermOp,Mdagsrc5,result5);
FermToProp<Action>(prop5,result5,s,c);
LatticeFermion result4(UGrid);
Ddwf.ExportPhysicalFermionSolution(result5,result4);
FermToProp<Action>(prop4,result4,s,c);
Ddwfrev.Mdag(src5,Mdagsrc5);
CG(HermOprev,Mdagsrc5,result5);
FermToProp<Action>(prop5rev,result5,s,c);
}
}
for(int s=0;s<Ls;s++){
ExtractSlice(prop[s], prop5, s , 0);
ExtractSlice(proprev[s], prop5rev, s , 0);
}
Gamma g5(Gamma::Algebra::Gamma5);
LatticeComplex C(UGrid);
std::vector<LatticeComplex> PAmu(Nd,UGrid);
LatticePropagator p5d(UGrid);
LatticePropagator us_p5d(UGrid);
LatticePropagator gp5d(UGrid);
LatticePropagator gus_p5d(UGrid);
#define Pp(Q) (0.5*(Q+g5*Q))
#define Pm(Q) (0.5*(Q-g5*Q))
#define Q_4d(Q) (Pm((Q)[0]) + Pp((Q)[Ls-1]))
#define TopRowWithSource(Q) (phys_src + (1.0-mass)*Q_4d(Q))
std::vector<LatticePropagator> L_Q(Ls,UGrid); L_Q=proprev; // shorthand name
std::vector<LatticePropagator> R_Q(Ls,UGrid); R_Q=prop; // shorthand name
LatticePropagator L_TmLsGq0(UGrid);
LatticePropagator L_TmLsTmp(UGrid);
LatticePropagator R_TmLsGq0(UGrid);
LatticePropagator R_TmLsTmp(UGrid);
{
LatticePropagator TermA(UGrid);
LatticePropagator TermB(UGrid);
LatticePropagator TermC(UGrid);
LatticePropagator TermD(UGrid);
TermA = (Pp(Q_4d(L_Q)));
TermB = (Pm(Q_4d(L_Q)));
TermC = (Pm(TopRowWithSource(L_Q)));
TermD = (Pp(TopRowWithSource(L_Q)));
L_TmLsGq0 = (TermD - TermA + TermB);
L_TmLsTmp = (TermC - TermB + TermA);
TermA = (Pp(Q_4d(R_Q)));
TermB = (Pm(Q_4d(R_Q)));
TermC = (Pm(TopRowWithSource(R_Q)));
TermD = (Pp(TopRowWithSource(R_Q)));
R_TmLsGq0 = (TermD - TermA + TermB);
R_TmLsTmp = (TermC - TermB + TermA);
}
std::vector<LatticePropagator> R_TmLsGq(Ls,UGrid);
std::vector<LatticePropagator> L_TmLsGq(Ls,UGrid);
for(int s=0;s<Ls;s++){
R_TmLsGq[s] = (Pm((R_Q)[(s)]) + Pp((R_Q)[((s)-1+Ls)%Ls]));
L_TmLsGq[s] = (Pm((L_Q)[(s)]) + Pp((L_Q)[((s)-1+Ls)%Ls]));
}
for(int mu=0;mu<Nd;mu++){
PAmu[mu]=Zero();
Gamma gmu=Gamma(Gmu[mu]);
for(int s=0;s<Ls;s++){
int sp = (s+1)%Ls;
int sr = Ls-1-s;
int srp= (sr+1)%Ls;
// Mobius parameters
auto b=Ddwf.bs[s];
auto c=Ddwf.cs[s];
assert(Ddwfrev.bs[sr]==Ddwf.bs[s]);
assert(Ddwfrev.cs[sr]==Ddwf.cs[s]);
LatticePropagator tmp(UGrid);
if (s == 0) {
p5d =(b*Pm(L_TmLsGq[Ls-1])+ c*Pp(L_TmLsGq[Ls-1]) + b*Pp(L_TmLsTmp) + c*Pm(L_TmLsTmp ));
tmp =(b*Pm(R_TmLsGq0) + c*Pp(R_TmLsGq0 ) + b*Pp(R_TmLsGq[1]) + c*Pm(R_TmLsGq[1]));
us_p5d = peekLorentz(Umu,mu)*Cshift(tmp,mu,1);
} else if (s == Ls-1) {
p5d =(b*Pm(L_TmLsGq0) + c*Pp(L_TmLsGq0 ) + b*Pp(L_TmLsGq[1]) + c*Pm(L_TmLsGq[1]));
tmp =(b*Pm(R_TmLsGq[Ls-1])+ c*Pp(R_TmLsGq[Ls-1]) + b*Pp(R_TmLsTmp) + c*Pm(R_TmLsTmp ));
us_p5d = peekLorentz(Umu,mu)*Cshift(tmp,mu,1);
} else {
p5d =(b*Pm(L_TmLsGq[sr]) + c*Pp(L_TmLsGq[sr])+ b*Pp(L_TmLsGq[srp])+ c*Pm(L_TmLsGq[srp]));
tmp =(b*Pm(R_TmLsGq[s]) + c*Pp(R_TmLsGq[s]) + b*Pp(R_TmLsGq[sp ])+ c*Pm(R_TmLsGq[sp]));
us_p5d = peekLorentz(Umu,mu)*Cshift(tmp,mu,1);
}
gp5d=g5*p5d;
gus_p5d=gmu*us_p5d;
auto bpc = 0.5/(b+c);
C = bpc*localInnerProduct(gp5d,gus_p5d);
C-= bpc*localInnerProduct(gp5d,us_p5d);
if (s == 0) {
p5d =(b*Pm(R_TmLsGq0) + c*Pp(R_TmLsGq0 ) + b*Pp(R_TmLsGq[1]) + c*Pm(R_TmLsGq[1]));
tmp =(b*Pm(L_TmLsGq[Ls-1])+ c*Pp(L_TmLsGq[Ls-1]) + b*Pp(L_TmLsTmp) + c*Pm(L_TmLsTmp ));
us_p5d = peekLorentz(Umu,mu)*Cshift(tmp,mu,1);
} else if (s == Ls-1) {
p5d =(b*Pm(R_TmLsGq[Ls-1])+ c*Pp(R_TmLsGq[Ls-1]) + b*Pp(R_TmLsTmp) + c*Pm(R_TmLsTmp ));
tmp =(b*Pm(L_TmLsGq0) + c*Pp(L_TmLsGq0 ) + b*Pp(L_TmLsGq[1]) + c*Pm(L_TmLsGq[1]));
us_p5d = peekLorentz(Umu,mu)*Cshift(tmp,mu,1);
} else {
p5d =(b*Pm(R_TmLsGq[s]) + c*Pp(R_TmLsGq[s]) + b*Pp(R_TmLsGq[sp ])+ c*Pm(R_TmLsGq[sp]));
tmp =(b*Pm(L_TmLsGq[sr]) + c*Pp(L_TmLsGq[sr]) + b*Pp(L_TmLsGq[srp])+ c*Pm(L_TmLsGq[srp]));
us_p5d = peekLorentz(Umu,mu)*Cshift(tmp,mu,1);
}
gp5d=gmu*p5d;
gus_p5d=g5*us_p5d;
bpc = 0.5/(b+c);
C+= bpc*localInnerProduct(gus_p5d,gp5d);
C+= bpc*localInnerProduct(gus_p5d,p5d);
if (s < Ls/2) PAmu[mu] -= C;
else PAmu[mu] += C;
}
}
std::cout << "done "<<std::endl;
LatticePropagator psi(UGrid);
psi = (prop[Ls/2-1]+g5*prop[Ls/2-1] +prop[Ls/2] -g5*prop[Ls/2] )*0.5;
PJ5q=localInnerProduct(psi,psi);
std::cout << " J5qref "<<norm2(PJ5q)<<std::endl;
std::cout << " DmuAmu "<<std::endl;
LatticeComplex Defect(UGrid);
Defect = Zero();
for(int mu=0;mu<Nd;mu++) {
Defect = Defect + PAmu[mu]-Cshift(PAmu[mu],mu,-1);
}
Ddwf.ContractConservedCurrent(prop5rev,prop5,Axial_mu,phys_src,Current::Axial,Tdir);
PA = trace(g5*Axial_mu);
PP = trace(adj(prop4)*prop4);
Defect = Defect - 2.0*Ddwf.mass* PP;
Defect = Defect - 2.0*PJ5q;
std::vector<TComplex> sumPAref;
std::vector<TComplex> sumPA;
std::vector<TComplex> sumPP;
std::vector<TComplex> sumPJ5qref;
std::vector<TComplex> sumPJ5q;
std::vector<TComplex> sumDefect;
// Spatial sum
sliceSum(PAmu[Tdir],sumPAref,Tdir);
sliceSum(PA,sumPA,Tdir);
sliceSum(PJ5q,sumPJ5q,Tdir);
sliceSum(PP,sumPP,Tdir);
sliceSum(Defect,sumDefect,Tdir);
Ddwf.ContractJ5q(prop5,PJ5q);
sliceSum(PJ5q,sumPJ5qref,Tdir);
int Nt=sumPA.size();
for(int t=0;t<Nt;t++){
std::cout <<t<<" PAc reference "<<real(TensorRemove(sumPAref[t]));
std::cout <<" PAc action "<<real(TensorRemove(sumPA[t]));
std::cout <<" PJ5q ref "<<real(TensorRemove(sumPJ5qref[t]));
std::cout <<" PJ5q action "<<real(TensorRemove(sumPJ5q[t]));
std::cout <<"WTI defects "<<real(TensorRemove(sumPAref[t]-sumPAref[(t-1+Nt)%Nt] - 2.0*(Ddwf.mass*sumPP[t] + sumPJ5q[t]) ))<<",";
std::cout <<real(TensorRemove(sumPA[t]-sumPA[(t-1+Nt)%Nt] - 2.0*(Ddwf.mass*sumPP[t] + sumPJ5q[t]) ))<<"\n";
}
}
#endif
// Verify solution with independent true residual
LatticeGaugeField Umu5d(FGrid);
std::vector<LatticeColourMatrix> U(4,FGrid);
{
auto Umu5d_v = Umu5d.View();
auto Umu_v = Umu.View();
for(int ss=0;ss<Umu.Grid()->oSites();ss++){
for(int s=0;s<Ls;s++){
Umu5d_v[Ls*ss+s] = Umu_v[ss];
}
}
}
for(int mu=0;mu<Nd;mu++){
U[mu] = PeekIndex<LorentzIndex>(Umu5d,mu);
}
LatticeFermion ref(FGrid);
LatticeFermion tmp(FGrid);
ref = Zero();
for(int mu=0;mu<Nd;mu++){
tmp = U[mu]*Cshift(result5,mu+1,1);
ref=ref + tmp - Gamma(Gmu[mu])*tmp;
tmp =adj(U[mu])*result5;
tmp =Cshift(tmp,mu+1,-1);
ref=ref + tmp + Gamma(Gmu[mu])*tmp;
}
ref = -0.5*ref;
// Dperp
{
RealD diag = 5.0 - Ddwf.M5;
mass = Ddwf.mass;
auto psi=result5.View();
auto chi=tmp.View();
thread_for(sss,UGrid->oSites(),{
uint64_t ss= sss*Ls;
typedef vSpinColourVector spinor;
spinor tmp1, tmp2;
for(int s=0;s<Ls;s++){
uint64_t idx_u = ss+((s+1)%Ls);
uint64_t idx_l = ss+((s+Ls-1)%Ls);
spProj5m(tmp1,psi(idx_u));
spProj5p(tmp2,psi(idx_l));
double pu = (s==(Ls-1)) ? mass: -1.0;
double pl = (s==0) ? mass: -1.0;
chi[ss+s]=diag*psi(ss+s)+pu*tmp1+pl*tmp2;
}
});
}
ref = ref + tmp;
ref = ref - src5;
std::cout << "residual "<< norm2(ref)<< std::endl;
std::cout << "src "<< norm2(src5)<< std::endl;
std::cout << "result "<< norm2(result5)<< std::endl;
*/
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