From 1ec5d3236940b42f61d6258fe0cde5453210bcaa Mon Sep 17 00:00:00 2001
From: paboyle <paboyle@ph.ed.ac.uk>
Date: Thu, 30 Mar 2017 13:45:13 +0900
Subject: [PATCH] Chulwoo's test to zmobius helped me shake out

---
 tests/core/Test_zmobius_even_odd.cc | 273 ++++++++++++++++++++++++++++
 1 file changed, 273 insertions(+)
 create mode 100644 tests/core/Test_zmobius_even_odd.cc

diff --git a/tests/core/Test_zmobius_even_odd.cc b/tests/core/Test_zmobius_even_odd.cc
new file mode 100644
index 00000000..d547f2f7
--- /dev/null
+++ b/tests/core/Test_zmobius_even_odd.cc
@@ -0,0 +1,273 @@
+    /*************************************************************************************
+
+    Grid physics library, www.github.com/paboyle/Grid 
+
+    Source file: ./tests/Test_dwf_even_odd.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>
+
+using namespace std;
+using namespace Grid;
+using namespace Grid::QCD;
+
+template<class d>
+struct scal {
+  d internal;
+};
+
+  Gamma::Algebra Gmu [] = {
+    Gamma::Algebra::GammaX,
+    Gamma::Algebra::GammaY,
+    Gamma::Algebra::GammaZ,
+    Gamma::Algebra::GammaT
+  };
+
+
+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=8;
+  GridCartesian         * UGrid   = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplex::Nsimd()),GridDefaultMpi());
+  GridCartesian         * FGrid   = SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid);
+  GridRedBlackCartesian * UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
+  GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(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);
+
+  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;
+  LatticeGaugeField Umu(UGrid); random(RNG4,Umu);
+  std::vector<LatticeColourMatrix> U(4,UGrid);
+
+  // Only one non-zero (y)
+  Umu=zero;
+  for(int nn=0;nn<Nd;nn++){
+    random(RNG4,U[nn]);
+    if ( nn>0 ) 
+      U[nn]=zero;
+    PokeIndex<LorentzIndex>(Umu,U[nn],nn);
+  }
+
+  RealD mass=0.1;
+  RealD M5  =1.8;
+  std::vector < std::complex<double>  > omegas;
+  for(int i=0;i<Ls;i++){
+        double imag = 0.;
+        if (i==0) imag=1.;
+        if (i==Ls-1) imag=-1.;
+        std::complex<double> temp (0.25+0.01*i, imag*0.1);
+        omegas.push_back(temp);
+  }
+  ZMobiusFermionR Ddwf(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mass, M5, omegas,1.,0.);
+//  DomainWallFermionR Ddwf(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5);
+
+  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 MooeeDagger is the dagger of Mooee 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.Mooee(chi_e,dchi_o);
+  Ddwf.Mooee(chi_o,dchi_e);
+  Ddwf.MooeeDag(phi_e,dphi_o);
+  Ddwf.MooeeDag(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 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;
+  
+
+  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);
+
+  pDce = innerProduct(phi_e,dchi_e);
+  pDco = innerProduct(phi_o,dchi_o);
+  cDpe = innerProduct(chi_e,dphi_e);
+  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;
+
+  std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
+  std::cout<<GridLogMessage<<"= Test MpcDagMpc is Hermitian              "<<std::endl;
+  std::cout<<GridLogMessage<<"=============================================================="<<std::endl;
+  
+  random(RNG5,phi);
+  random(RNG5,chi);
+  pickCheckerboard(Even,chi_e,chi);
+  pickCheckerboard(Odd ,chi_o,chi);
+  pickCheckerboard(Even,phi_e,phi);
+  pickCheckerboard(Odd ,phi_o,phi);
+  RealD t1,t2;
+
+
+  SchurDiagMooeeOperator<ZMobiusFermionR,LatticeFermion> HermOpEO(Ddwf);
+  HermOpEO.MpcDagMpc(chi_e,dchi_e,t1,t2);
+  HermOpEO.MpcDagMpc(chi_o,dchi_o,t1,t2);
+
+  HermOpEO.MpcDagMpc(phi_e,dphi_e,t1,t2);
+  HermOpEO.MpcDagMpc(phi_o,dphi_o,t1,t2);
+
+  pDce = innerProduct(phi_e,dchi_e);
+  pDco = innerProduct(phi_o,dchi_o);
+  cDpe = innerProduct(chi_e,dphi_e);
+  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) "<< pDco-conj(cDpo) <<std::endl;
+  std::cout<<GridLogMessage <<"pDco - conj(cDpe) "<< pDce-conj(cDpe) <<std::endl;
+  
+  Grid_finalize();
+}