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Grid/benchmarks/Benchmark_dwf.cc

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/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./benchmarks/Benchmark_dwf.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
};
typedef WilsonFermion5D<DomainWallVec5dImplR> WilsonFermion5DR;
typedef WilsonFermion5D<DomainWallVec5dImplF> WilsonFermion5DF;
typedef WilsonFermion5D<DomainWallVec5dImplD> WilsonFermion5DD;
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;
std::vector<int> latt4 = GridDefaultLatt();
const int Ls=16;
GridCartesian * UGrid = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplex::Nsimd()),GridDefaultMpi());
GridRedBlackCartesian * UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
GridCartesian * FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid);
GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGrid);
std::cout << GridLogMessage << "Making s innermost grids"<<std::endl;
GridCartesian * sUGrid = SpaceTimeGrid::makeFourDimDWFGrid(GridDefaultLatt(),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});
std::cout << GridLogMessage << "Initialising 4d RNG" << std::endl;
GridParallelRNG RNG4(UGrid); RNG4.SeedFixedIntegers(seeds4);
std::cout << GridLogMessage << "Initialising 5d RNG" << std::endl;
GridParallelRNG RNG5(FGrid); RNG5.SeedFixedIntegers(seeds5);
std::cout << GridLogMessage << "Initialised RNGs" << std::endl;
LatticeFermion src (FGrid); random(RNG5,src);
#if 0
src = zero;
{
std::vector<int> origin({0,0,0,latt4[2]-1,0});
SpinColourVectorF tmp;
tmp=zero;
tmp()(0)(0)=Complex(-2.0,0.0);
std::cout << " source site 0 " << tmp<<std::endl;
pokeSite(tmp,src,origin);
}
#else
RealD N2 = 1.0/::sqrt(norm2(src));
src = src*N2;
#endif
LatticeFermion result(FGrid); result=zero;
LatticeFermion ref(FGrid); ref=zero;
LatticeFermion tmp(FGrid);
LatticeFermion err(FGrid);
std::cout << GridLogMessage << "Drawing gauge field" << std::endl;
LatticeGaugeField Umu(UGrid);
SU3::HotConfiguration(RNG4,Umu);
std::cout << GridLogMessage << "Random gauge initialised " << std::endl;
#if 0
Umu=1.0;
for(int mu=0;mu<Nd;mu++){
LatticeColourMatrix ttmp(UGrid);
ttmp = PeekIndex<LorentzIndex>(Umu,mu);
// if (mu !=2 ) ttmp = 0;
// ttmp = ttmp* pow(10.0,mu);
PokeIndex<LorentzIndex>(Umu,ttmp,mu);
}
std::cout << GridLogMessage << "Forced to diagonal " << std::endl;
#endif
////////////////////////////////////
// Naive wilson implementation
////////////////////////////////////
// replicate across fifth dimension
LatticeGaugeField Umu5d(FGrid);
std::vector<LatticeColourMatrix> U(4,FGrid);
for(int ss=0;ss<Umu._grid->oSites();ss++){
for(int s=0;s<Ls;s++){
Umu5d._odata[Ls*ss+s] = Umu._odata[ss];
}
}
for(int mu=0;mu<Nd;mu++){
U[mu] = PeekIndex<LorentzIndex>(Umu5d,mu);
}
std::cout << GridLogMessage << "Setting up Cshift based reference " << std::endl;
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;
RealD NP = UGrid->_Nprocessors;
RealD NN = UGrid->NodeCount();
std::cout << GridLogMessage<< "*****************************************************************" <<std::endl;
std::cout << GridLogMessage<< "* Kernel options --dslash-generic, --dslash-unroll, --dslash-asm" <<std::endl;
std::cout << GridLogMessage<< "*****************************************************************" <<std::endl;
std::cout << GridLogMessage<< "*****************************************************************" <<std::endl;
std::cout << GridLogMessage<< "* Benchmarking DomainWallFermionR::Dhop "<<std::endl;
std::cout << GridLogMessage<< "* Vectorising space-time by "<<vComplex::Nsimd()<<std::endl;
if ( sizeof(Real)==4 ) std::cout << GridLogMessage<< "* SINGLE precision "<<std::endl;
if ( sizeof(Real)==8 ) std::cout << GridLogMessage<< "* DOUBLE precision "<<std::endl;
#ifdef GRID_OMP
if ( WilsonKernelsStatic::Comms == WilsonKernelsStatic::CommsAndCompute ) std::cout << GridLogMessage<< "* Using Overlapped Comms/Compute" <<std::endl;
if ( WilsonKernelsStatic::Comms == WilsonKernelsStatic::CommsThenCompute) std::cout << GridLogMessage<< "* Using sequential comms compute" <<std::endl;
#endif
if ( WilsonKernelsStatic::Opt == WilsonKernelsStatic::OptGeneric ) std::cout << GridLogMessage<< "* Using GENERIC Nc WilsonKernels" <<std::endl;
if ( WilsonKernelsStatic::Opt == WilsonKernelsStatic::OptHandUnroll) std::cout << GridLogMessage<< "* Using Nc=3 WilsonKernels" <<std::endl;
if ( WilsonKernelsStatic::Opt == WilsonKernelsStatic::OptInlineAsm ) std::cout << GridLogMessage<< "* Using Asm Nc=3 WilsonKernels" <<std::endl;
std::cout << GridLogMessage<< "*****************************************************************" <<std::endl;
DomainWallFermionR Dw(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5);
int ncall =1000;
if (1) {
FGrid->Barrier();
Dw.ZeroCounters();
Dw.Dhop(src,result,0);
std::cout<<GridLogMessage<<"Called warmup"<<std::endl;
double t0=usecond();
for(int i=0;i<ncall;i++){
__SSC_START;
Dw.Dhop(src,result,0);
__SSC_STOP;
}
double t1=usecond();
FGrid->Barrier();
double volume=Ls; for(int mu=0;mu<Nd;mu++) volume=volume*latt4[mu];
double flops=1344*volume*ncall;
std::cout<<GridLogMessage << "Called Dw "<<ncall<<" times in "<<t1-t0<<" us"<<std::endl;
// std::cout<<GridLogMessage << "norm result "<< norm2(result)<<std::endl;
// std::cout<<GridLogMessage << "norm ref "<< norm2(ref)<<std::endl;
std::cout<<GridLogMessage << "mflop/s = "<< flops/(t1-t0)<<std::endl;
std::cout<<GridLogMessage << "mflop/s per rank = "<< flops/(t1-t0)/NP<<std::endl;
std::cout<<GridLogMessage << "mflop/s per node = "<< flops/(t1-t0)/NN<<std::endl;
err = ref-result;
std::cout<<GridLogMessage << "norm diff "<< norm2(err)<<std::endl;
/*
if(( norm2(err)>1.0e-4) ) {
std::cout << "RESULT\n " << result<<std::endl;
std::cout << "REF \n " << ref <<std::endl;
std::cout << "ERR \n " << err <<std::endl;
FGrid->Barrier();
exit(-1);
}
*/
assert (norm2(err)< 1.0e-4 );
Dw.Report();
}
DomainWallFermionRL DwH(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5);
if (1) {
FGrid->Barrier();
DwH.ZeroCounters();
DwH.Dhop(src,result,0);
double t0=usecond();
for(int i=0;i<ncall;i++){
__SSC_START;
DwH.Dhop(src,result,0);
__SSC_STOP;
}
double t1=usecond();
FGrid->Barrier();
double volume=Ls; for(int mu=0;mu<Nd;mu++) volume=volume*latt4[mu];
double flops=1344*volume*ncall;
std::cout<<GridLogMessage << "Called half prec comms Dw "<<ncall<<" times in "<<t1-t0<<" us"<<std::endl;
std::cout<<GridLogMessage << "mflop/s = "<< flops/(t1-t0)<<std::endl;
std::cout<<GridLogMessage << "mflop/s per rank = "<< flops/(t1-t0)/NP<<std::endl;
std::cout<<GridLogMessage << "mflop/s per node = "<< flops/(t1-t0)/NN<<std::endl;
err = ref-result;
std::cout<<GridLogMessage << "norm diff "<< norm2(err)<<std::endl;
assert (norm2(err)< 1.0e-3 );
DwH.Report();
}
if (1)
{
std::cout << GridLogMessage<< "*********************************************************" <<std::endl;
std::cout << GridLogMessage<< "* Benchmarking WilsonFermion5D<DomainWallVec5dImplR>::Dhop "<<std::endl;
std::cout << GridLogMessage<< "* Vectorising fifth dimension by "<<vComplex::Nsimd()<<std::endl;
if ( sizeof(Real)==4 ) std::cout << GridLogMessage<< "* SINGLE precision "<<std::endl;
if ( sizeof(Real)==8 ) std::cout << GridLogMessage<< "* DOUBLE precision "<<std::endl;
#ifdef GRID_OMP
if ( WilsonKernelsStatic::Comms == WilsonKernelsStatic::CommsAndCompute ) std::cout << GridLogMessage<< "* Using Overlapped Comms/Compute" <<std::endl;
if ( WilsonKernelsStatic::Comms == WilsonKernelsStatic::CommsThenCompute) std::cout << GridLogMessage<< "* Using sequential comms compute" <<std::endl;
#endif
if ( WilsonKernelsStatic::Opt == WilsonKernelsStatic::OptGeneric ) std::cout << GridLogMessage<< "* Using GENERIC Nc WilsonKernels" <<std::endl;
if ( WilsonKernelsStatic::Opt == WilsonKernelsStatic::OptHandUnroll) std::cout << GridLogMessage<< "* Using Nc=3 WilsonKernels" <<std::endl;
if ( WilsonKernelsStatic::Opt == WilsonKernelsStatic::OptInlineAsm ) std::cout << GridLogMessage<< "* Using Asm Nc=3 WilsonKernels" <<std::endl;
std::cout << GridLogMessage<< "*********************************************************" <<std::endl;
typedef WilsonFermion5D<DomainWallVec5dImplR> WilsonFermion5DR;
LatticeFermion ssrc(sFGrid);
LatticeFermion sref(sFGrid);
LatticeFermion sresult(sFGrid);
WilsonFermion5DR sDw(Umu,*sFGrid,*sFrbGrid,*sUGrid,*sUrbGrid,M5);
localConvert(src,ssrc);
std::cout<<GridLogMessage<< "src norms "<< norm2(src)<<" " <<norm2(ssrc)<<std::endl;
FGrid->Barrier();
sDw.Dhop(ssrc,sresult,0);
sDw.ZeroCounters();
double t0=usecond();
for(int i=0;i<ncall;i++){
__SSC_START;
sDw.Dhop(ssrc,sresult,0);
__SSC_STOP;
}
double t1=usecond();
FGrid->Barrier();
double volume=Ls; for(int mu=0;mu<Nd;mu++) volume=volume*latt4[mu];
double flops=1344*volume*ncall;
std::cout<<GridLogMessage << "Called Dw s_inner "<<ncall<<" times in "<<t1-t0<<" us"<<std::endl;
std::cout<<GridLogMessage << "mflop/s = "<< flops/(t1-t0)<<std::endl;
std::cout<<GridLogMessage << "mflop/s per rank = "<< flops/(t1-t0)/NP<<std::endl;
std::cout<<GridLogMessage << "mflop/s per node = "<< flops/(t1-t0)/NN<<std::endl;
// std::cout<<GridLogMessage<< "res norms "<< norm2(result)<<" " <<norm2(sresult)<<std::endl;
sDw.Report();
RealD sum=0;
err=zero;
localConvert(sresult,err);
err = err - ref;
sum = norm2(err);
std::cout<<GridLogMessage<<" difference between normal ref and simd is "<<sum<<std::endl;
if(sum > 1.0e-4 ){
std::cout<< "sD REF\n " <<ref << std::endl;
std::cout<< "sD ERR \n " <<err <<std::endl;
}
// assert(sum < 1.0e-4);
err=zero;
localConvert(sresult,err);
err = err - result;
sum = norm2(err);
std::cout<<GridLogMessage<<" difference between normal result and simd is "<<sum<<std::endl;
if(sum > 1.0e-4 ){
std::cout<< "sD REF\n " <<result << std::endl;
std::cout<< "sD ERR \n " << err <<std::endl;
}
assert(sum < 1.0e-4);
if(1){
std::cout << GridLogMessage<< "*********************************************************" <<std::endl;
std::cout << GridLogMessage<< "* Benchmarking WilsonFermion5D<DomainWallVec5dImplR>::DhopEO "<<std::endl;
std::cout << GridLogMessage<< "* Vectorising fifth dimension by "<<vComplex::Nsimd()<<std::endl;
if ( sizeof(Real)==4 ) std::cout << GridLogMessage<< "* SINGLE precision "<<std::endl;
if ( sizeof(Real)==8 ) std::cout << GridLogMessage<< "* DOUBLE precision "<<std::endl;
#ifdef GRID_OMP
if ( WilsonKernelsStatic::Comms == WilsonKernelsStatic::CommsAndCompute ) std::cout << GridLogMessage<< "* Using Overlapped Comms/Compute" <<std::endl;
if ( WilsonKernelsStatic::Comms == WilsonKernelsStatic::CommsThenCompute) std::cout << GridLogMessage<< "* Using sequential comms compute" <<std::endl;
#endif
if ( WilsonKernelsStatic::Opt == WilsonKernelsStatic::OptGeneric )
std::cout << GridLogMessage<< "* Using GENERIC Nc WilsonKernels" <<std::endl;
if ( WilsonKernelsStatic::Opt == WilsonKernelsStatic::OptHandUnroll)
std::cout << GridLogMessage<< "* Using Nc=3 WilsonKernels" <<std::endl;
if ( WilsonKernelsStatic::Opt == WilsonKernelsStatic::OptInlineAsm )
std::cout << GridLogMessage<< "* Using Asm Nc=3 WilsonKernels" <<std::endl;
std::cout << GridLogMessage<< "*********************************************************" <<std::endl;
LatticeFermion sr_eo(sFGrid);
LatticeFermion ssrc_e (sFrbGrid);
LatticeFermion ssrc_o (sFrbGrid);
LatticeFermion sr_e (sFrbGrid);
LatticeFermion sr_o (sFrbGrid);
pickCheckerboard(Even,ssrc_e,ssrc);
pickCheckerboard(Odd,ssrc_o,ssrc);
// setCheckerboard(sr_eo,ssrc_o);
// setCheckerboard(sr_eo,ssrc_e);
sr_e = zero;
sr_o = zero;
FGrid->Barrier();
sDw.DhopEO(ssrc_o, sr_e, DaggerNo);
sDw.ZeroCounters();
// sDw.stat.init("DhopEO");
double t0=usecond();
for (int i = 0; i < ncall; i++) {
sDw.DhopEO(ssrc_o, sr_e, DaggerNo);
}
double t1=usecond();
FGrid->Barrier();
// sDw.stat.print();
double volume=Ls; for(int mu=0;mu<Nd;mu++) volume=volume*latt4[mu];
double flops=(1344.0*volume*ncall)/2;
std::cout<<GridLogMessage << "sDeo mflop/s = "<< flops/(t1-t0)<<std::endl;
std::cout<<GridLogMessage << "sDeo mflop/s per rank "<< flops/(t1-t0)/NP<<std::endl;
std::cout<<GridLogMessage << "sDeo mflop/s per node "<< flops/(t1-t0)/NN<<std::endl;
sDw.Report();
sDw.DhopEO(ssrc_o,sr_e,DaggerNo);
sDw.DhopOE(ssrc_e,sr_o,DaggerNo);
sDw.Dhop (ssrc ,sresult,DaggerNo);
pickCheckerboard(Even,ssrc_e,sresult);
pickCheckerboard(Odd ,ssrc_o,sresult);
ssrc_e = ssrc_e - sr_e;
RealD error = norm2(ssrc_e);
std::cout<<GridLogMessage << "sE norm diff "<< norm2(ssrc_e)<< " vec nrm"<<norm2(sr_e) <<std::endl;
ssrc_o = ssrc_o - sr_o;
error+= norm2(ssrc_o);
std::cout<<GridLogMessage << "sO norm diff "<< norm2(ssrc_o)<< " vec nrm"<<norm2(sr_o) <<std::endl;
if(( error>1.0e-4) ) {
setCheckerboard(ssrc,ssrc_o);
setCheckerboard(ssrc,ssrc_e);
std::cout<< "DIFF\n " <<ssrc << std::endl;
setCheckerboard(ssrc,sr_o);
setCheckerboard(ssrc,sr_e);
std::cout<< "CBRESULT\n " <<ssrc << std::endl;
std::cout<< "RESULT\n " <<sresult<< std::endl;
}
assert(error<1.0e-4);
}
}
if (1)
{ // Naive wilson dag implementation
ref = zero;
for(int mu=0;mu<Nd;mu++){
// ref = src - Gamma(Gamma::Algebra::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;
}
// dump=1;
Dw.Dhop(src,result,1);
std::cout << GridLogMessage << "Compare to naive wilson implementation Dag to verify correctness" << std::endl;
std::cout<<GridLogMessage << "Called DwDag"<<std::endl;
std::cout<<GridLogMessage << "norm dag result "<< norm2(result)<<std::endl;
std::cout<<GridLogMessage << "norm dag ref "<< norm2(ref)<<std::endl;
err = ref-result;
std::cout<<GridLogMessage << "norm dag diff "<< norm2(err)<<std::endl;
if((norm2(err)>1.0e-4)){
std::cout<< "DAG RESULT\n " <<ref << std::endl;
std::cout<< "DAG sRESULT\n " <<result << std::endl;
std::cout<< "DAG ERR \n " << 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<<GridLogMessage << "Calling Deo and Doe and //assert Deo+Doe == Dunprec"<<std::endl;
pickCheckerboard(Even,src_e,src);
pickCheckerboard(Odd,src_o,src);
std::cout<<GridLogMessage << "src_e"<<norm2(src_e)<<std::endl;
std::cout<<GridLogMessage << "src_o"<<norm2(src_o)<<std::endl;
// S-direction is INNERMOST and takes no part in the parity.
std::cout << GridLogMessage<< "*********************************************************" <<std::endl;
std::cout << GridLogMessage<< "* Benchmarking DomainWallFermionR::DhopEO "<<std::endl;
std::cout << GridLogMessage<< "* Vectorising space-time by "<<vComplex::Nsimd()<<std::endl;
if ( sizeof(Real)==4 ) std::cout << GridLogMessage<< "* SINGLE precision "<<std::endl;
if ( sizeof(Real)==8 ) std::cout << GridLogMessage<< "* DOUBLE precision "<<std::endl;
#ifdef GRID_OMP
if ( WilsonKernelsStatic::Comms == WilsonKernelsStatic::CommsAndCompute ) std::cout << GridLogMessage<< "* Using Overlapped Comms/Compute" <<std::endl;
if ( WilsonKernelsStatic::Comms == WilsonKernelsStatic::CommsThenCompute) std::cout << GridLogMessage<< "* Using sequential comms compute" <<std::endl;
#endif
if ( WilsonKernelsStatic::Opt == WilsonKernelsStatic::OptGeneric ) std::cout << GridLogMessage<< "* Using GENERIC Nc WilsonKernels" <<std::endl;
if ( WilsonKernelsStatic::Opt == WilsonKernelsStatic::OptHandUnroll) std::cout << GridLogMessage<< "* Using Nc=3 WilsonKernels" <<std::endl;
if ( WilsonKernelsStatic::Opt == WilsonKernelsStatic::OptInlineAsm ) std::cout << GridLogMessage<< "* Using Asm Nc=3 WilsonKernels" <<std::endl;
std::cout << GridLogMessage<< "*********************************************************" <<std::endl;
{
Dw.ZeroCounters();
FGrid->Barrier();
Dw.DhopEO(src_o,r_e,DaggerNo);
double t0=usecond();
for(int i=0;i<ncall;i++){
Dw.DhopEO(src_o,r_e,DaggerNo);
}
double t1=usecond();
FGrid->Barrier();
double volume=Ls; for(int mu=0;mu<Nd;mu++) volume=volume*latt4[mu];
double flops=(1344.0*volume*ncall)/2;
std::cout<<GridLogMessage << "Deo mflop/s = "<< flops/(t1-t0)<<std::endl;
std::cout<<GridLogMessage << "Deo mflop/s per rank "<< flops/(t1-t0)/NP<<std::endl;
std::cout<<GridLogMessage << "Deo mflop/s per node "<< flops/(t1-t0)/NN<<std::endl;
Dw.Report();
}
Dw.DhopEO(src_o,r_e,DaggerNo);
Dw.DhopOE(src_e,r_o,DaggerNo);
Dw.Dhop (src ,result,DaggerNo);
std::cout<<GridLogMessage << "r_e"<<norm2(r_e)<<std::endl;
std::cout<<GridLogMessage << "r_o"<<norm2(r_o)<<std::endl;
std::cout<<GridLogMessage << "res"<<norm2(result)<<std::endl;
setCheckerboard(r_eo,r_o);
setCheckerboard(r_eo,r_e);
err = r_eo-result;
std::cout<<GridLogMessage << "norm diff "<< norm2(err)<<std::endl;
if((norm2(err)>1.0e-4)){
std::cout<< "Deo RESULT\n " <<r_eo << std::endl;
std::cout<< "Deo REF\n " <<result << std::endl;
std::cout<< "Deo ERR \n " << err <<std::endl;
}
pickCheckerboard(Even,src_e,err);
pickCheckerboard(Odd,src_o,err);
std::cout<<GridLogMessage << "norm diff even "<< norm2(src_e)<<std::endl;
std::cout<<GridLogMessage << "norm diff odd "<< norm2(src_o)<<std::endl;
//assert(norm2(src_e)<1.0e-4);
//assert(norm2(src_o)<1.0e-4);
Grid_finalize();
}
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