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Grid/tests/Test_cayley_even_odd_vec.cc

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/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./tests/Test_cayley_even_odd.cc
Copyright (C) 2015
Author: Peter Boyle <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;
;
template<class d>
struct scal {
d internal;
};
Gamma::Algebra Gmu [] = {
Gamma::Algebra::GammaX,
Gamma::Algebra::GammaY,
Gamma::Algebra::GammaZ,
Gamma::Algebra::GammaT
};
typedef DomainWallFermion<DomainWallVec5dImplR> DomainWallVecFermionR;
typedef ZMobiusFermion<ZDomainWallVec5dImplR> ZMobiusVecFermionR;
typedef MobiusFermion<DomainWallVec5dImplR> MobiusVecFermionR;
typedef MobiusZolotarevFermion<DomainWallVec5dImplR> MobiusZolotarevVecFermionR;
typedef ScaledShamirFermion<DomainWallVec5dImplR> ScaledShamirVecFermionR;
typedef ShamirZolotarevFermion<DomainWallVec5dImplR> ShamirZolotarevVecFermionR;
typedef OverlapWilsonCayleyTanhFermion<DomainWallVec5dImplR> OverlapWilsonCayleyTanhVecFermionR;
typedef OverlapWilsonCayleyZolotarevFermion<DomainWallVec5dImplR> OverlapWilsonCayleyZolotarevVecFermionR;
template<class What>
void TestWhat(What & Ddwf,
GridCartesian * FGrid, GridRedBlackCartesian * FrbGrid,
GridCartesian * UGrid,
RealD mass, RealD M5,
GridParallelRNG *RNG4, GridParallelRNG *RNG5);
template<class This,class That>
void TestMoo(This & Dw, That &sDw);
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=16;
auto latt4 =GridDefaultLatt();
GridCartesian * UGrid = SpaceTimeGrid::makeFourDimGrid(latt4, GridDefaultSimd(Nd,vComplex::Nsimd()),GridDefaultMpi());
GridRedBlackCartesian * UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
GridCartesian * FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid);
GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGrid);
GridCartesian * sUGrid = SpaceTimeGrid::makeFourDimDWFGrid(latt4,GridDefaultMpi());
GridRedBlackCartesian * sUrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(sUGrid);
GridCartesian * sFGrid = SpaceTimeGrid::makeFiveDimDWFGrid(Ls,UGrid);
GridRedBlackCartesian * sFrbGrid = SpaceTimeGrid::makeFiveDimDWFRedBlackGrid(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);
GridParallelRNG sRNG4(sUGrid); sRNG4.SeedFixedIntegers(seeds4);
GridParallelRNG sRNG5(sFGrid); sRNG5.SeedFixedIntegers(seeds5);
LatticeGaugeField Umu(UGrid);
SU3::HotConfiguration(RNG4,Umu);
RealD mass=0.1;
RealD M5 =1.8;
std::cout<<GridLogMessage<<"**************************************************************"<<std::endl;
std::cout<<GridLogMessage <<"DomainWallFermion vectorised test"<<std::endl;
std::cout<<GridLogMessage<<"**************************************************************"<<std::endl;
DomainWallFermionR Ddwf(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5);
DomainWallVecFermionR sDdwf(Umu,*sFGrid,*sFrbGrid,*sUGrid,*sUrbGrid,mass,M5);
TestMoo(Ddwf,sDdwf);
TestWhat<DomainWallFermionR>(Ddwf,FGrid,FrbGrid,UGrid,mass,M5,&RNG4,&RNG5);
TestWhat<DomainWallVecFermionR>(sDdwf,sFGrid,sFrbGrid,sUGrid,mass,M5,&sRNG4,&sRNG5);
RealD b=1.5;// Scale factor b+c=2, b-c=1
RealD c=0.5;
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);
MobiusVecFermionR sDmob(Umu,*sFGrid,*sFrbGrid,*sUGrid,*sUrbGrid,mass,M5,b,c);
TestMoo(Dmob,sDmob);
TestWhat<MobiusFermionR>(Dmob,FGrid,FrbGrid,UGrid,mass,M5,&RNG4,&RNG5);
TestWhat<MobiusVecFermionR>(sDmob,sFGrid,sFrbGrid,sUGrid,mass,M5,&sRNG4,&sRNG5);
std::cout<<GridLogMessage<<"**************************************************************"<<std::endl;
std::cout<<GridLogMessage <<"Z-MobiusFermion test"<<std::endl;
std::cout<<GridLogMessage<<"**************************************************************"<<std::endl;
std::vector<ComplexD> gamma(Ls,std::complex<double>(1.0,0.0));
ZMobiusFermionR zDmob(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5,gamma,b,c);
ZMobiusVecFermionR szDmob(Umu,*sFGrid,*sFrbGrid,*sUGrid,*sUrbGrid,mass,M5,gamma,b,c);
TestMoo(zDmob,szDmob);
TestWhat<ZMobiusFermionR>(zDmob,FGrid,FrbGrid,UGrid,mass,M5,&RNG4,&RNG5);
TestWhat<ZMobiusVecFermionR>(szDmob,sFGrid,sFrbGrid,sUGrid,mass,M5,&sRNG4,&sRNG5);
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);
MobiusZolotarevVecFermionR sDzolo(Umu,*sFGrid,*sFrbGrid,*sUGrid,*sUrbGrid,mass,M5,b,c,0.1,2.0);
TestMoo(Dzolo,sDzolo);
TestWhat<MobiusZolotarevFermionR>(Dzolo,FGrid,FrbGrid,UGrid,mass,M5,&RNG4,&RNG5);
TestWhat<MobiusZolotarevVecFermionR>(sDzolo,sFGrid,sFrbGrid,sUGrid,mass,M5,&sRNG4,&sRNG5);
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);
ScaledShamirVecFermionR sDsham(Umu,*sFGrid,*sFrbGrid,*sUGrid,*sUrbGrid,mass,M5,2.0);
TestMoo(Dsham,sDsham);
TestWhat<ScaledShamirFermionR>(Dsham,FGrid,FrbGrid,UGrid,mass,M5,&RNG4,&RNG5);
TestWhat<ScaledShamirVecFermionR>(sDsham,sFGrid,sFrbGrid,sUGrid,mass,M5,&sRNG4,&sRNG5);
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);
ShamirZolotarevVecFermionR sDshamz(Umu,*sFGrid,*sFrbGrid,*sUGrid,*sUrbGrid,mass,M5,0.1,2.0);
TestMoo(Dshamz,sDshamz);
TestWhat<ShamirZolotarevFermionR>(Dshamz,FGrid,FrbGrid,UGrid,mass,M5,&RNG4,&RNG5);
TestWhat<ShamirZolotarevVecFermionR>(sDshamz,sFGrid,sFrbGrid,sUGrid,mass,M5,&sRNG4,&sRNG5);
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);
OverlapWilsonCayleyTanhVecFermionR sDov(Umu,*sFGrid,*sFrbGrid,*sUGrid,*sUrbGrid,mass,M5,1.0);
TestMoo(Dov,sDov);
TestWhat<OverlapWilsonCayleyTanhFermionR>(Dov,FGrid,FrbGrid,UGrid,mass,M5,&RNG4,&RNG5);
TestWhat<OverlapWilsonCayleyTanhVecFermionR>(sDov,sFGrid,sFrbGrid,sUGrid,mass,M5,&sRNG4,&sRNG5);
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);
OverlapWilsonCayleyZolotarevVecFermionR sDovz(Umu,*sFGrid,*sFrbGrid,*sUGrid,*sUrbGrid,mass,M5,0.1,2.0);
TestMoo(Dovz,sDovz);
TestWhat<OverlapWilsonCayleyZolotarevFermionR>(Dovz,FGrid,FrbGrid,UGrid,mass,M5,&RNG4,&RNG5);
TestWhat<OverlapWilsonCayleyZolotarevVecFermionR>(sDovz,sFGrid,sFrbGrid,sUGrid,mass,M5,&sRNG4,&sRNG5);
std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
Grid_finalize();
}
template<class What>
void TestWhat(What & Ddwf,
GridCartesian * FGrid, GridRedBlackCartesian * FrbGrid,
GridCartesian * UGrid,
RealD mass, RealD M5,
GridParallelRNG *RNG4,
GridParallelRNG *RNG5)
{
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();
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<<GridLogMessage<<"=========================================================="<<std::endl;
std::cout<<GridLogMessage<<"= Testing that Meo + Moe + Moo + Mee = Munprec "<<std::endl;
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
pickCheckerboard(Even,src_e,src);
pickCheckerboard(Odd,src_o,src);
Ddwf.Meooe(src_e,r_o); std::cout<<GridLogMessage<<"Applied Meo"<<std::endl;
Ddwf.Meooe(src_o,r_e); std::cout<<GridLogMessage<<"Applied Moe"<<std::endl;
setCheckerboard(r_eo,r_o);
setCheckerboard(r_eo,r_e);
Ddwf.Mooee(src_e,r_e); std::cout<<GridLogMessage<<"Applied Mee"<<std::endl;
Ddwf.Mooee(src_o,r_o); std::cout<<GridLogMessage<<"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<<GridLogMessage << r_eo<<std::endl;
// std::cout<<GridLogMessage << ref <<std::endl;
err= ref - r_eo;
std::cout<<GridLogMessage << "EO norm diff "<< norm2(err)<< " "<<norm2(ref)<< " " << norm2(r_eo) <<std::endl;
LatticeComplex cerr(FGrid);
cerr = localInnerProduct(err,err);
// std::cout<<GridLogMessage << cerr<<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;
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<<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);
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<<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);
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<<GridLogMessage << "norm diff "<< norm2(err)<< std::endl;
}
template<class This,class That>
void TestMoo(This & Dw, That &sDw)
{
GridBase *sgrid= sDw.FermionGrid();
GridBase *ngrid= Dw.FermionGrid();
int Ls = Dw.Ls;
LatticeFermion ssrc(sgrid);
LatticeFermion nsrc(ngrid);
LatticeFermion zz(ngrid); zz=Zero();
LatticeFermion sres(sgrid);
LatticeFermion nres(ngrid);
LatticeFermion ndiff(ngrid);
LatticeFermion sdiff(sgrid);
Gamma g5( Gamma::Algebra::Gamma5 );
std::vector<int> seeds({1,2,3,4,5,7,8});
GridParallelRNG RNG5(ngrid);
RNG5.SeedFixedIntegers(seeds);
random(RNG5,nsrc);
// nsrc = nsrc + g5*nsrc;
// Lattice<iScalar<vInteger> > coor(ngrid);
// LatticeCoordinate(coor,0);//scoor
// nsrc = where(coor==(Integer)0,zz,nsrc);
std::vector<int> latt4(4);
for(int d=0;d<4;d++){
latt4[d] = ngrid->_fdimensions[d+1];
}
for(int x=0;x<latt4[0];x++){
for(int y=0;y<latt4[1];y++){
for(int z=0;z<latt4[2];z++){
for(int t=0;t<latt4[3];t++){
for(int s=0;s<Ls;s++){
std::vector<int> site({s,x,y,z,t});
SpinColourVector tmp;
peekSite(tmp,nsrc,site);
pokeSite(tmp,ssrc,site);
}}}}}
sDw.Mooee(ssrc,sres);
Dw.Mooee(nsrc,nres);
sDw.MooeeInternal(ssrc,sdiff,DaggerNo,InverseNo);
for(int x=0;x<latt4[0];x++){
for(int y=0;y<latt4[1];y++){
for(int z=0;z<latt4[2];z++){
for(int t=0;t<latt4[3];t++){
for(int s=0;s<Ls;s++){
std::vector<int> site({s,x,y,z,t});
SpinColourVector stmp;
SpinColourVector itmp;
SpinColourVector dtmp;
peekSite(stmp,sres,site);
peekSite(itmp,sdiff,site);
dtmp=itmp-stmp;
if ( norm2(dtmp)>1.0e-6) {
std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
std:: cout << x<<" "<<y<<" "<< z<< " "<<t<<"; s= "<<s<<std::endl;
std:: cout << "stmp "<< stmp <<std::endl;
std:: cout << "itmp "<< itmp <<std::endl;
std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
}
}}}}}
sdiff = sdiff -sres;
std::cout<<GridLogMessage<<" norm MooInternal diff "<<norm2(sdiff)<<std::endl;
for(int x=0;x<latt4[0];x++){
for(int y=0;y<latt4[1];y++){
for(int z=0;z<latt4[2];z++){
for(int t=0;t<latt4[3];t++){
for(int s=0;s<Ls;s++){
std::vector<int> site({s,x,y,z,t});
SpinColourVector tmp;
peekSite(tmp,sres,site);
pokeSite(tmp,ndiff,site);
}}}}}
ndiff=ndiff-nres;
std::cout<<GridLogMessage<<" norm Moo diff "<<norm2(ndiff)<<std::endl;
sDw.MooeeDag(ssrc,sres);
Dw.MooeeDag(nsrc,nres);
sDw.MooeeInternal(ssrc,sdiff,DaggerYes,InverseNo);
sdiff = sdiff -sres;
std::cout<<GridLogMessage<<" norm MooInternalDag diff "<<norm2(sdiff)<<std::endl;
for(int x=0;x<latt4[0];x++){
for(int y=0;y<latt4[1];y++){
for(int z=0;z<latt4[2];z++){
for(int t=0;t<latt4[3];t++){
for(int s=0;s<Ls;s++){
std::vector<int> site({s,x,y,z,t});
SpinColourVector tmp;
peekSite(tmp,sres,site);
pokeSite(tmp,ndiff,site);
}}}}}
ndiff=ndiff-nres;
std::cout<<GridLogMessage<<" norm MooeeDag diff "<<norm2(ndiff)<<std::endl;
sDw.MooeeInv(ssrc,sres);
Dw.MooeeInv(nsrc,nres);
for(int x=0;x<latt4[0];x++){
for(int y=0;y<latt4[1];y++){
for(int z=0;z<latt4[2];z++){
for(int t=0;t<latt4[3];t++){
for(int s=0;s<Ls;s++){
std::vector<int> site({s,x,y,z,t});
SpinColourVector tmp;
peekSite(tmp,sres,site);
pokeSite(tmp,ndiff,site);
}}}}}
ndiff=ndiff-nres;
std::cout<<GridLogMessage<<" norm MooeeInv diff "<<norm2(ndiff)<<std::endl;
sDw.MooeeInvDag(ssrc,sres);
Dw.MooeeInvDag(nsrc,nres);
for(int x=0;x<latt4[0];x++){
for(int y=0;y<latt4[1];y++){
for(int z=0;z<latt4[2];z++){
for(int t=0;t<latt4[3];t++){
for(int s=0;s<Ls;s++){
std::vector<int> site({s,x,y,z,t});
SpinColourVector tmp;
peekSite(tmp,sres,site);
pokeSite(tmp,ndiff,site);
}}}}}
ndiff=ndiff-nres;
std::cout<<GridLogMessage<<" norm MooeeInvDag diff "<<norm2(ndiff)<<std::endl;
std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
}
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