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Merge remote-tracking branch 'refs/remotes/origin/develop' into develop
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Peter Boyle
commit
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307
tests/core/Test_fft_pf.cc
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307
tests/core/Test_fft_pf.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_cshift.cc
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Copyright (C) 2015
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Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
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Author: Peter Boyle <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 Grid;
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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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Coordinate latt_size = GridDefaultLatt();
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Coordinate simd_layout( { vComplexD::Nsimd(),1,1,1});
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Coordinate mpi_layout = GridDefaultMpi();
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int vol = 1;
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for(int d=0;d<latt_size.size();d++){
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vol = vol * latt_size[d];
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}
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GridCartesian GRID(latt_size,simd_layout,mpi_layout);
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GridRedBlackCartesian RBGRID(&GRID);
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ComplexD ci(0.0,1.0);
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std::vector<int> seeds({1,2,3,4});
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GridSerialRNG sRNG; sRNG.SeedFixedIntegers(seeds); // naughty seeding
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GridParallelRNG pRNG(&GRID);
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pRNG.SeedFixedIntegers(seeds);
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LatticeGaugeFieldD Umu(&GRID);
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SU<Nc>::ColdConfiguration(pRNG,Umu); // Unit gauge
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////////////////////////////////////////////////////
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// PF prop
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////////////////////////////////////////////////////
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LatticeFermionD src(&GRID);
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gaussian(pRNG,src);
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#if 1
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Coordinate point(4,0);
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src=Zero();
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SpinColourVectorD ferm; gaussian(sRNG,ferm);
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pokeSite(ferm,src,point);
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#endif
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{
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std::cout<<"****************************************"<<std::endl;
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std::cout << "Testing PartialFraction Hw kernel Mom space 4d propagator \n";
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std::cout<<"****************************************"<<std::endl;
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// LatticeFermionD src(&GRID); gaussian(pRNG,src);
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LatticeFermionD tmp(&GRID);
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LatticeFermionD ref(&GRID);
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LatticeFermionD diff(&GRID);
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const int Ls=48+1;
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GridCartesian * FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls,&GRID);
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GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,&GRID);
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RealD mass=0.1;
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RealD M5 =0.8;
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OverlapWilsonPartialFractionZolotarevFermionD Dov(Umu,*FGrid,*FrbGrid,GRID,RBGRID,mass,M5,0.001,8.0);
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// Momentum space prop
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std::cout << " Solving by FFT and Feynman rules" <<std::endl;
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bool fiveD = false; //calculate 4d free propagator
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std::cout << " Free propagator " <<std::endl;
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Dov.FreePropagator(src,ref,mass) ;
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std::cout << " Free propagator norm "<< norm2(ref) <<std::endl;
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Gamma G5(Gamma::Algebra::Gamma5);
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LatticeFermionD src5(FGrid); src5=Zero();
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LatticeFermionD tmp5(FGrid);
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LatticeFermionD result5(FGrid); result5=Zero();
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LatticeFermionD result4(&GRID);
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const int sdir=0;
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////////////////////////////////////////////////////////////////////////
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// Import
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////////////////////////////////////////////////////////////////////////
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std::cout << " Free propagator Import "<< norm2(src) <<std::endl;
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Dov.ImportPhysicalFermionSource (src,src5);
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std::cout << " Free propagator Imported "<< norm2(src5) <<std::endl;
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////////////////////////////////////////////////////////////////////////
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// Conjugate gradient on normal equations system
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////////////////////////////////////////////////////////////////////////
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std::cout << " Solving by Conjugate Gradient (CGNE)" <<std::endl;
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Dov.Mdag(src5,tmp5);
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src5=tmp5;
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MdagMLinearOperator<OverlapWilsonPartialFractionZolotarevFermionD,LatticeFermionD> HermOp(Dov);
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ConjugateGradient<LatticeFermionD> CG(1.0e-8,10000);
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CG(HermOp,src5,result5);
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////////////////////////////////////////////////////////////////////////
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// Domain wall physical field propagator
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////////////////////////////////////////////////////////////////////////
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Dov.ExportPhysicalFermionSolution(result5,result4);
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// From DWF4d.pdf :
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//
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// Dov_pf = 2/(1-m) D_cayley_ovlap [ Page 43 ]
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// Dinv_cayley_ovlap = 2/(1-m) Dinv_pf
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// Dinv_cayley_surface =1/(1-m) ( Dinv_cayley_ovlap - 1 ) => 2/(1-m)^2 Dinv_pf - 1/(1-m) * src [ Eq.2.67 ]
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RealD scale = 2.0/(1.0-mass)/(1.0-mass);
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result4 = result4 * scale;
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result4 = result4 - src*(1.0/(1.0-mass)); // Subtract contact term
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DumpSliceNorm("Src",src);
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DumpSliceNorm("Grid",result4);
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DumpSliceNorm("Fourier",ref);
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std::cout << "Dov result4 "<<norm2(result4)<<std::endl;
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std::cout << "Dov ref "<<norm2(ref)<<std::endl;
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diff = result4- ref;
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DumpSliceNorm("diff ",diff);
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}
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////////////////////////////////////////////////////
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// Dwf prop
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////////////////////////////////////////////////////
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{
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std::cout<<"****************************************"<<std::endl;
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std::cout << "Testing Dov(Hw) Mom space 4d propagator \n";
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std::cout<<"****************************************"<<std::endl;
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LatticeFermionD tmp(&GRID);
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LatticeFermionD ref(&GRID);
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LatticeFermionD diff(&GRID);
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const int Ls=48;
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GridCartesian * FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls,&GRID);
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GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,&GRID);
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RealD mass=0.1;
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RealD M5 =0.8;
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OverlapWilsonCayleyTanhFermionD Dov(Umu,*FGrid,*FrbGrid,GRID,RBGRID,mass,M5,1.0);
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// Momentum space prop
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std::cout << " Solving by FFT and Feynman rules" <<std::endl;
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Dov.FreePropagator(src,ref,mass) ;
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Gamma G5(Gamma::Algebra::Gamma5);
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LatticeFermionD src5(FGrid); src5=Zero();
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LatticeFermionD tmp5(FGrid);
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LatticeFermionD result5(FGrid); result5=Zero();
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LatticeFermionD result4(&GRID);
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const int sdir=0;
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////////////////////////////////////////////////////////////////////////
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// Domain wall physical field source; need D_minus
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////////////////////////////////////////////////////////////////////////
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/*
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chi_5[0] = chiralProjectPlus(chi);
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chi_5[Ls-1]= chiralProjectMinus(chi);
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*/
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tmp = (src + G5*src)*0.5; InsertSlice(tmp,src5, 0,sdir);
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tmp = (src - G5*src)*0.5; InsertSlice(tmp,src5,Ls-1,sdir);
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////////////////////////////////////////////////////////////////////////
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// Conjugate gradient on normal equations system
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////////////////////////////////////////////////////////////////////////
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std::cout << " Solving by Conjugate Gradient (CGNE)" <<std::endl;
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Dov.Dminus(src5,tmp5);
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src5=tmp5;
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Dov.Mdag(src5,tmp5);
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src5=tmp5;
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MdagMLinearOperator<OverlapWilsonCayleyTanhFermionD,LatticeFermionD> HermOp(Dov);
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ConjugateGradient<LatticeFermionD> CG(1.0e-16,10000);
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CG(HermOp,src5,result5);
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////////////////////////////////////////////////////////////////////////
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// Domain wall physical field propagator
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////////////////////////////////////////////////////////////////////////
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/*
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psi = chiralProjectMinus(psi_5[0]);
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psi += chiralProjectPlus(psi_5[Ls-1]);
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*/
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ExtractSlice(tmp,result5,0 ,sdir); result4 = (tmp-G5*tmp)*0.5;
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ExtractSlice(tmp,result5,Ls-1,sdir); result4 = result4+(tmp+G5*tmp)*0.5;
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std::cout << " Taking difference" <<std::endl;
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std::cout << "Dov result4 "<<norm2(result4)<<std::endl;
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std::cout << "Dov ref "<<norm2(ref)<<std::endl;
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DumpSliceNorm("Grid",result4);
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DumpSliceNorm("Fourier",ref);
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diff = ref - result4;
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std::cout << "result - ref "<<norm2(diff)<<std::endl;
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DumpSliceNorm("diff",diff);
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}
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{
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std::cout<<"****************************************"<<std::endl;
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std::cout << "Testing PartialFraction Hw kernel Mom space 4d propagator with q\n";
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std::cout<<"****************************************"<<std::endl;
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// LatticeFermionD src(&GRID); gaussian(pRNG,src);
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LatticeFermionD tmp(&GRID);
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LatticeFermionD ref(&GRID);
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LatticeFermionD diff(&GRID);
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const int Ls=48+1;
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GridCartesian * FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls,&GRID);
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GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,&GRID);
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RealD mass=0.1;
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RealD M5 =0.8;
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OverlapWilsonPartialFractionZolotarevFermionD Dov(Umu,*FGrid,*FrbGrid,GRID,RBGRID,mass,M5,0.001,8.0);
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// Momentum space prop
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std::cout << " Solving by FFT and Feynman rules" <<std::endl;
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bool fiveD = false; //calculate 4d free propagator
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std::cout << " Free propagator " <<std::endl;
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Dov.FreePropagator(src,ref,mass) ;
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std::cout << " Free propagator norm "<< norm2(ref) <<std::endl;
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Gamma G5(Gamma::Algebra::Gamma5);
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LatticeFermionD src5(FGrid); src5=Zero();
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LatticeFermionD tmp5(FGrid);
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LatticeFermionD result5(FGrid); result5=Zero();
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LatticeFermionD result4(&GRID);
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const int sdir=0;
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////////////////////////////////////////////////////////////////////////
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// Import
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////////////////////////////////////////////////////////////////////////
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std::cout << " Free propagator Import "<< norm2(src) <<std::endl;
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Dov.ImportPhysicalFermionSource (src,src5);
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std::cout << " Free propagator Imported "<< norm2(src5) <<std::endl;
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////////////////////////////////////////////////////////////////////////
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// Conjugate gradient on normal equations system
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////////////////////////////////////////////////////////////////////////
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std::cout << " Solving by Conjugate Gradient (CGNE)" <<std::endl;
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Dov.Mdag(src5,tmp5);
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src5=tmp5;
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MdagMLinearOperator<OverlapWilsonPartialFractionZolotarevFermionD,LatticeFermionD> HermOp(Dov);
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ConjugateGradient<LatticeFermionD> CG(1.0e-8,10000);
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CG(HermOp,src5,result5);
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////////////////////////////////////////////////////////////////////////
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// Domain wall physical field propagator
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////////////////////////////////////////////////////////////////////////
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Dov.ExportPhysicalFermionSolution(result5,result4);
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// From DWF4d.pdf :
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//
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// Dov_pf = 2/(1-m) D_cayley_ovlap [ Page 43 ]
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// Dinv_cayley_ovlap = 2/(1-m) Dinv_pf
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// Dinv_cayley_surface =1/(1-m) ( Dinv_cayley_ovlap - 1 ) => 2/(1-m)^2 Dinv_pf - 1/(1-m) * src [ Eq.2.67 ]
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RealD scale = 2.0/(1.0-mass)/(1.0-mass);
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result4 = result4 * scale;
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result4 = result4 - src*(1.0/(1.0-mass)); // Subtract contact term
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DumpSliceNorm("Src",src);
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DumpSliceNorm("Grid",result4);
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DumpSliceNorm("Fourier",ref);
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std::cout << "Dov result4 "<<norm2(result4)<<std::endl;
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std::cout << "Dov ref "<<norm2(ref)<<std::endl;
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diff = result4- ref;
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DumpSliceNorm("diff ",diff);
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}
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Grid_finalize();
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}
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