CG test written and passes i.e. converges with small true residual

in RedBlack MpcDagMpc, Unprec MdagM and Schur red black solver for
each of.

DomainWallFermion
MobiusFermion
MobiusZolotarevFermion
ScaledShamirFermion
ScaledShamirZolotarevFermion

benchmarks/Benchmark_dwf.cc

@@ -0,0 +1,156 @@
+#include <Grid.h>
+
+using namespace std;
+using namespace Grid;
+using namespace Grid::QCD;
+
+template<class d>
+struct scal {
+  d internal;
+};
+
+  Gamma::GammaMatrix Gmu [] = {
+    Gamma::GammaX,
+    Gamma::GammaY,
+    Gamma::GammaZ,
+    Gamma::GammaT
+  };
+
+int main (int argc, char ** argv)
+{
+  Grid_init(&argc,&argv);
+
+  int threads = GridThread::GetThreads();
+  std::cout << "Grid is setup to use "<<threads<<" threads"<<std::endl;
+
+  std::vector<int> latt4 = GridDefaultLatt();
+  const int Ls=8;
+  GridCartesian         * UGrid   = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplexF::Nsimd()),GridDefaultMpi());
+  GridRedBlackCartesian * UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
+  GridCartesian         * FGrid   = SpaceTimeGrid::makeFiveDimGrid(Ls,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 result(FGrid); result=zero;
+  LatticeFermion    ref(FGrid);    ref=zero;
+  LatticeFermion    tmp(FGrid);
+  LatticeFermion    err(FGrid);
+
+  ColourMatrix cm = Complex(1.0,0.0);
+
+  LatticeGaugeField Umu(UGrid); random(RNG4,Umu);
+  LatticeGaugeField Umu5d(FGrid); 
+
+  // replicate across fifth dimension
+  for(int ss=0;ss<Umu._grid->oSites();ss++){
+    for(int s=0;s<Ls;s++){
+      Umu5d._odata[Ls*ss+s] = Umu._odata[ss];
+    }
+  }
+
+  ////////////////////////////////////
+  // Naive wilson implementation
+  ////////////////////////////////////
+  std::vector<LatticeColourMatrix> U(4,FGrid);
+  for(int mu=0;mu<Nd;mu++){
+    U[mu] = peekIndex<LorentzIndex>(Umu5d,mu);
+  }
+
+  if (1)
+  {
+    ref = zero;
+    for(int mu=0;mu<Nd;mu++){
+
+      tmp = U[mu]*Cshift(src,mu+1,1);
+      ref=ref + tmp + Gamma(Gmu[mu])*tmp;
+
+      tmp =adj(U[mu])*src;
+      tmp =Cshift(tmp,mu+1,-1);
+      ref=ref + tmp - Gamma(Gmu[mu])*tmp;
+    }
+    ref = -0.5*ref;
+  }
+
+  RealD mass=0.1;
+  RealD M5  =1.8;
+  DomainWallFermion Dw(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5);
+  
+  std::cout << "Calling Dw"<<std::endl;
+  int ncall=10;
+  double t0=usecond();
+  for(int i=0;i<ncall;i++){
+    Dw.Dhop(src,result,0);
+  }
+  double t1=usecond();
+
+  double volume=Ls;  for(int mu=0;mu<Nd;mu++) volume=volume*latt4[mu];
+  double flops=1344*volume*ncall;
+  
+  std::cout << "Called Dw"<<std::endl;
+  std::cout << "norm result "<< norm2(result)<<std::endl;
+  std::cout << "norm ref    "<< norm2(ref)<<std::endl;
+  std::cout << "mflop/s =   "<< flops/(t1-t0)<<std::endl;
+  err = ref-result; 
+  std::cout << "norm diff   "<< norm2(err)<<std::endl;
+
+
+  if (1)
+  { // Naive wilson dag implementation
+    ref = zero;
+    for(int mu=0;mu<Nd;mu++){
+
+      //    ref =  src - Gamma(Gamma::GammaX)* src ; // 1+gamma_x
+      tmp = U[mu]*Cshift(src,mu+1,1);
+      for(int i=0;i<ref._odata.size();i++){
+	ref._odata[i]+= tmp._odata[i] - Gamma(Gmu[mu])*tmp._odata[i]; ;
+      }
+
+      tmp =adj(U[mu])*src;
+      tmp =Cshift(tmp,mu+1,-1);
+      for(int i=0;i<ref._odata.size();i++){
+	ref._odata[i]+= tmp._odata[i] + Gamma(Gmu[mu])*tmp._odata[i]; ;
+      }
+    }
+    ref = -0.5*ref;
+  }
+  Dw.Dhop(src,result,1);
+  std::cout << "Called DwDag"<<std::endl;
+  std::cout << "norm result "<< norm2(result)<<std::endl;
+  std::cout << "norm ref    "<< norm2(ref)<<std::endl;
+  err = ref-result; 
+  std::cout << "norm diff   "<< norm2(err)<<std::endl;
+
+  LatticeFermion src_e (FrbGrid);
+  LatticeFermion src_o (FrbGrid);
+  LatticeFermion r_e   (FrbGrid);
+  LatticeFermion r_o   (FrbGrid);
+  LatticeFermion r_eo  (FGrid);
+
+
+  std::cout << "Calling Deo and Doe"<<std::endl;
+  pickCheckerboard(Even,src_e,src);
+  pickCheckerboard(Odd,src_o,src);
+
+  Dw.DhopEO(src_o,r_e,DaggerNo);
+  Dw.DhopOE(src_e,r_o,DaggerNo);
+  Dw.Dhop(src,result,DaggerNo);
+
+  setCheckerboard(r_eo,r_o);
+  setCheckerboard(r_eo,r_e);
+
+  err = r_eo-result; 
+  std::cout << "norm diff   "<< norm2(err)<<std::endl;
+
+  pickCheckerboard(Even,src_e,err);
+  pickCheckerboard(Odd,src_o,err);
+  std::cout << "norm diff even  "<< norm2(src_e)<<std::endl;
+  std::cout << "norm diff odd   "<< norm2(src_o)<<std::endl;
+
+  Grid_finalize();
+}