Grid/tests/Test_gparity.cc

    /*************************************************************************************

    Grid physics library, www.github.com/paboyle/Grid 

    Source file: ./tests/Test_gparity.cc

    Copyright (C) 2015

Author: Peter Boyle <paboyle@ph.ed.ac.uk>
Author: Peter Boyle <peterboyle@Peters-MacBook-Pro-2.local>
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.h>

using namespace std;
using namespace Grid;
using namespace Grid::QCD;

typedef typename GparityDomainWallFermionR::FermionField FermionField;


int main (int argc, char ** argv)
{
  const int nu = 3;

  Grid_init(&argc,&argv);


  const int Ls=4;
  const int L =4;
  std::vector<int> latt_2f(Nd,L);
  std::vector<int> latt_1f(Nd,L); latt_1f[nu] = 2*L;

  std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
  std::vector<int> mpi_layout  = GridDefaultMpi(); //node layout

  GridCartesian         * UGrid_1f   = SpaceTimeGrid::makeFourDimGrid(latt_1f, simd_layout, mpi_layout);
  GridRedBlackCartesian * UrbGrid_1f = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid_1f);
  GridCartesian         * FGrid_1f   = SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid_1f);
  GridRedBlackCartesian * FrbGrid_1f = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGrid_1f);


  GridCartesian         * UGrid_2f   = SpaceTimeGrid::makeFourDimGrid(latt_2f, simd_layout, mpi_layout);
  GridRedBlackCartesian * UrbGrid_2f = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid_2f);
  GridCartesian         * FGrid_2f   = SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid_2f);
  GridRedBlackCartesian * FrbGrid_2f = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGrid_2f);

  std::vector<int> seeds4({1,2,3,4});
  std::vector<int> seeds5({5,6,7,8});
  GridParallelRNG          RNG5_2f(FGrid_2f);  RNG5_2f.SeedFixedIntegers(seeds5);
  GridParallelRNG          RNG4_2f(UGrid_2f);  RNG4_2f.SeedFixedIntegers(seeds4);

  LatticeGaugeField Umu_2f(UGrid_2f);
  SU3::HotConfiguration(RNG4_2f,Umu_2f);

  LatticeFermion    src   (FGrid_2f); 
  LatticeFermion    tmpsrc(FGrid_2f); 
  FermionField      src_2f(FGrid_2f); 
  LatticeFermion    src_1f(FGrid_1f); 

  // Replicate fermion source
  random(RNG5_2f,src);
  PokeIndex<0>(src_2f,src,0);
  tmpsrc=src*2.0;
  PokeIndex<0>(src_2f,tmpsrc,1);

  LatticeFermion result_1f(FGrid_1f); result_1f=zero;
  LatticeGaugeField Umu_1f(UGrid_1f); 
  Replicate(Umu_2f,Umu_1f);

  //Coordinate grid for reference
  LatticeInteger xcoor_1f(UGrid_1f);
  LatticeCoordinate(xcoor_1f,nu);

  //Copy-conjugate the gauge field
  //First C-shift the lattice by Lx/2
  {
    LatticeGaugeField Umu_shift = conjugate( Cshift(Umu_1f,nu,L) );
    Umu_1f = where( xcoor_1f >= Integer(L), Umu_shift, Umu_1f );

    // hack test to check the same
    Replicate(Umu_2f,Umu_shift);
    Umu_shift=Umu_shift-Umu_1f;
    cout << GridLogMessage << "Umu diff " << norm2(Umu_shift)<<std::endl;

    //Make the gauge field antiperiodic in nu-direction
    LatticeColourMatrix Unu(UGrid_1f);
    Unu = PeekIndex<LorentzIndex>(Umu_1f,nu);
    Unu = where(xcoor_1f == Integer(2*L-1), -Unu, Unu);
    PokeIndex<LorentzIndex>(Umu_1f,Unu,nu);
  }

  //Coordinate grid for reference
  LatticeInteger    xcoor_1f5(FGrid_1f);
  LatticeCoordinate(xcoor_1f5,1+nu);
  Replicate(src,src_1f);
  src_1f   = where( xcoor_1f5 >= Integer(L), 2.0*src_1f,src_1f );

  RealD mass=0.0;
  RealD M5=1.8;
  DomainWallFermionR Ddwf(Umu_1f,*FGrid_1f,*FrbGrid_1f,*UGrid_1f,*UrbGrid_1f,mass,M5);

  LatticeFermion    src_o_1f(FrbGrid_1f);
  LatticeFermion result_o_1f(FrbGrid_1f);
  pickCheckerboard(Odd,src_o_1f,src_1f);
  result_o_1f=zero;

  SchurDiagMooeeOperator<DomainWallFermionR,LatticeFermion> HermOpEO(Ddwf);
  ConjugateGradient<LatticeFermion> CG(1.0e-8,10000);
  CG(HermOpEO,src_o_1f,result_o_1f);
  
  //  const int nu = 3;
  std::vector<int> twists(Nd,0);
  twists[nu] = 1;
  GparityDomainWallFermionR::ImplParams params;
  params.twists = twists;
  GparityDomainWallFermionR GPDdwf(Umu_2f,*FGrid_2f,*FrbGrid_2f,*UGrid_2f,*UrbGrid_2f,mass,M5,params);

  for(int disp=-1;disp<=1;disp+=2)
  for(int mu=0;mu<5;mu++)
  { 
    FermionField Dsrc_2f(FGrid_2f);

    LatticeFermion Dsrc_1f(FGrid_1f);
    LatticeFermion Dsrc_2freplica(FGrid_1f);
    LatticeFermion Dsrc_2freplica0(FGrid_1f);
    LatticeFermion Dsrc_2freplica1(FGrid_1f);

    if ( mu ==0 ) {
      std::cout << GridLogMessage<< " Cross checking entire hopping term"<<std::endl;
      GPDdwf.Dhop(src_2f,Dsrc_2f,DaggerNo);
        Ddwf.Dhop(src_1f,Dsrc_1f,DaggerNo);
    } else { 
      std::cout << GridLogMessage<< " Cross checking mu="<<mu<< " disp="<< disp<<std::endl;
      GPDdwf.DhopDir(src_2f,Dsrc_2f,mu,disp);
        Ddwf.DhopDir(src_1f,Dsrc_1f,mu,disp);
    }

    std::cout << GridLogMessage << "S norms "<< norm2(src_2f) << " " << norm2(src_1f)  <<std::endl;
    std::cout << GridLogMessage << "D norms "<< norm2(Dsrc_2f)<< " " << norm2(Dsrc_1f) <<std::endl;

    LatticeFermion Dsrc_2f0(FGrid_2f); Dsrc_2f0 = PeekIndex<0>(Dsrc_2f,0);
    LatticeFermion Dsrc_2f1(FGrid_2f); Dsrc_2f1 = PeekIndex<0>(Dsrc_2f,1);

    //    Dsrc_2f1 = Dsrc_2f1 - Dsrc_2f0;
    //    std::cout << GridLogMessage << " Cross check two halves " <<norm2(Dsrc_2f1)<<std::endl;

    Replicate(Dsrc_2f0,Dsrc_2freplica0);
    Replicate(Dsrc_2f1,Dsrc_2freplica1);

    Dsrc_2freplica = where( xcoor_1f5 >= Integer(L), Dsrc_2freplica1,Dsrc_2freplica0 );
    Dsrc_2freplica = Dsrc_2freplica - Dsrc_1f ;
    std::cout << GridLogMessage << " Cross check against doubled latt " <<norm2(Dsrc_2freplica)<<std::endl;

    //    std::cout << Dsrc_2f <<std::endl;

  }

  {
    FermionField chi   (FGrid_2f); gaussian(RNG5_2f,chi);
    FermionField phi   (FGrid_2f); gaussian(RNG5_2f,phi);
  
    FermionField chi_e   (FrbGrid_2f);
    FermionField chi_o   (FrbGrid_2f);
    
    FermionField dchi_e  (FrbGrid_2f);
    FermionField dchi_o  (FrbGrid_2f);
    
    FermionField phi_e   (FrbGrid_2f);
    FermionField phi_o   (FrbGrid_2f);
    
    FermionField dphi_e  (FrbGrid_2f);
    FermionField dphi_o  (FrbGrid_2f);

    pickCheckerboard(Even,chi_e,chi);
    pickCheckerboard(Odd ,chi_o,chi);
    pickCheckerboard(Even,phi_e,phi);
    pickCheckerboard(Odd ,phi_o,phi);

    GPDdwf.Meooe(chi_e,dchi_o);
    GPDdwf.Meooe(chi_o,dchi_e);
    GPDdwf.MeooeDag(phi_e,dphi_o);
    GPDdwf.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;

  }

  FermionField result_2f(FGrid_2f); result_2f=zero;
  FermionField    src_o_2f(FrbGrid_2f);
  FermionField result_o_2f(FrbGrid_2f);
  pickCheckerboard(Odd,src_o_2f,src_2f);
  result_o_2f=zero;

  ConjugateGradient<FermionField> CG2f(1.0e-8,10000);
  SchurDiagMooeeOperator<GparityDomainWallFermionR,FermionField> HermOpEO2f(GPDdwf);
  CG2f(HermOpEO2f,src_o_2f,result_o_2f);

  std::cout << "2f cb "<<result_o_2f.checkerboard<<std::endl;
  std::cout << "1f cb "<<result_o_1f.checkerboard<<std::endl;

  std::cout << " result norms " <<norm2(result_o_2f)<<" " <<norm2(result_o_1f)<<std::endl;

  LatticeFermion    res0o  (FrbGrid_2f); 
  LatticeFermion    res1o  (FrbGrid_2f); 
  LatticeFermion    res0  (FGrid_2f); 
  LatticeFermion    res1  (FGrid_2f); 

  res0=zero;
  res1=zero;

  res0o = PeekIndex<0>(result_o_2f,0);
  res1o = PeekIndex<0>(result_o_2f,1);

  std::cout << "res cb "<<res0o.checkerboard<<std::endl;
  std::cout << "res cb "<<res1o.checkerboard<<std::endl;

  setCheckerboard(res0,res0o);
  setCheckerboard(res1,res1o);

  LatticeFermion replica (FGrid_1f);
  LatticeFermion replica0(FGrid_1f);
  LatticeFermion replica1(FGrid_1f);
  Replicate(res0,replica0);
  Replicate(res1,replica1);

  replica = where( xcoor_1f5 >= Integer(L), replica1,replica0 );

  replica0 = zero;
  setCheckerboard(replica0,result_o_1f);

  std::cout << "Norm2 solutions is " <<norm2(replica)<<" "<< norm2(replica0)<<std::endl;

  replica = replica - replica0;
  
  std::cout << "Norm2 of difference in solutions is " <<norm2(replica)<<std::endl;
  

  Grid_finalize();
}