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mirror of https://github.com/paboyle/Grid.git synced 2025-06-13 04:37:05 +01:00

Merge branch 'develop' into feature/hmc_generalise

This commit is contained in:
Guido Cossu
2017-04-05 14:41:04 +01:00
205 changed files with 27899 additions and 3601 deletions

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@ -64,7 +64,7 @@ int main (int argc, char ** argv)
LatticeFermion ref(FGrid); ref=zero;
LatticeFermion tmp(FGrid);
LatticeFermion err(FGrid);
LatticeGaugeField Umu(UGrid); random(RNG4,Umu);
LatticeGaugeField Umu(UGrid); SU3::HotConfiguration(RNG4,Umu);
std::vector<LatticeColourMatrix> U(4,UGrid);
for(int mu=0;mu<Nd;mu++){

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@ -70,7 +70,7 @@ int main (int argc, char ** argv)
GridParallelRNG RNG5(FGrid); RNG5.SeedFixedIntegers(seeds5);
GridParallelRNG RNG4(UGrid); RNG4.SeedFixedIntegers(seeds4);
LatticeGaugeField Umu(UGrid); random(RNG4,Umu);
LatticeGaugeField Umu(UGrid); SU3::HotConfiguration(RNG4,Umu);
std::vector<LatticeColourMatrix> U(4,UGrid);
RealD mass=0.1;

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@ -32,6 +32,8 @@ Author: paboyle <paboyle@ph.ed.ac.uk>
using namespace Grid;
using namespace Grid::QCD;
#define POWER10
int main (int argc, char ** argv)
{
Grid_init(&argc,&argv);
@ -47,11 +49,12 @@ int main (int argc, char ** argv)
GridCartesian Fine (latt_size,simd_layout,mpi_layout);
GridRedBlackCartesian RBFine(latt_size,simd_layout,mpi_layout,mask,1);
GridParallelRNG FineRNG(&Fine); FineRNG.SeedRandomDevice();
GridParallelRNG FineRNG(&Fine); FineRNG.SeedFixedIntegers(std::vector<int>({45,12,81,9}));
LatticeComplex U(&Fine);
LatticeComplex ShiftU(&Fine);
LatticeComplex rbShiftU(&Fine);
LatticeComplex err(&Fine);
LatticeComplex Ue(&RBFine);
LatticeComplex Uo(&RBFine);
LatticeComplex ShiftUe(&RBFine);
@ -68,7 +71,11 @@ int main (int argc, char ** argv)
Integer i=0;
LatticeCoordinate(coor,d);
lex = lex + coor*stride+i;
#ifndef POWER10
stride=stride*latt_size[d];
#else
stride=stride*10;
#endif
}
U=lex;
}
@ -87,28 +94,31 @@ int main (int argc, char ** argv)
// if ( dir!=1 ) continue;
for(int shift=0;shift<latt_size[dir];shift++){
std::cout<<GridLogMessage<<"Shifting by "<<shift<<" in direction"<<dir<<std::endl;
std::cout<<GridLogMessage<<"Shifting by "<<shift<<" in direction"<<dir<< " ";
std::cout<<GridLogMessage<<"Even grid"<<std::endl;
// std::cout<<GridLogMessage<<"Even grid"<<std::endl;
ShiftUe = Cshift(Ue,dir,shift); // Shift everything cb by cb
std::cout<<GridLogMessage << "\tShiftUe " <<norm2(ShiftUe)<<std::endl;
// std::cout<<GridLogMessage << "\tShiftUe " <<norm2(ShiftUe)<<std::endl;
std::cout<<GridLogMessage<<"Odd grid"<<std::endl;
// std::cout<<GridLogMessage<<"Odd grid"<<std::endl;
ShiftUo = Cshift(Uo,dir,shift);
std::cout<<GridLogMessage << "\tShiftUo " <<norm2(ShiftUo)<<std::endl;
// std::cout<<GridLogMessage << "\tShiftUo " <<norm2(ShiftUo)<<std::endl;
std::cout<<GridLogMessage<<"Recombined Even/Odd grids"<<std::endl;
// std::cout<<GridLogMessage<<"Recombined Even/Odd grids"<<std::endl;
setCheckerboard(rbShiftU,ShiftUe);
setCheckerboard(rbShiftU,ShiftUo);
std::cout<<GridLogMessage << "\trbShiftU " <<norm2(rbShiftU)<<std::endl;
//std::cout<<GridLogMessage << "\trbShiftU " <<norm2(rbShiftU)<<std::endl;
std::cout<<GridLogMessage<<"Full grid shift"<<std::endl;
// std::cout<<GridLogMessage<<"Full grid shift"<<std::endl;
ShiftU = Cshift(U,dir,shift); // Shift everything
std::cout<<GridLogMessage << "\tShiftU " <<norm2(rbShiftU)<<std::endl;
// std::cout<<GridLogMessage << "\tShiftU " <<norm2(rbShiftU)<<std::endl;
err = ShiftU - rbShiftU;
std::cout<< "\terror " <<norm2(err)<<std::endl;
std::vector<int> coor(4);
std::cout<<GridLogMessage << "Checking the non-checkerboard shift"<<std::endl;
std::cout<<GridLogMessage << " Checking the non-checkerboard shift "<<shift <<" dir "<<dir <<" ... ";
for(coor[3]=0;coor[3]<latt_size[3];coor[3]++){
for(coor[2]=0;coor[2]<latt_size[2];coor[2]++){
for(coor[1]=0;coor[1]<latt_size[1];coor[1]++){
@ -121,18 +131,26 @@ int main (int argc, char ** argv)
std::vector<int> scoor(coor);
scoor[dir] = (scoor[dir]+shift)%latt_size[dir];
#ifndef POWER10
std::vector<int> powers=latt_size;
Integer slex = scoor[0]
+ latt_size[0]*scoor[1]
+ latt_size[0]*latt_size[1]*scoor[2]
+ latt_size[0]*latt_size[1]*latt_size[2]*scoor[3];
#else
std::vector<int> powers({1,10,100,1000});
Integer slex = scoor[0]
+ 10 *scoor[1]
+ 100 *scoor[2]
+ 1000 *scoor[3];
#endif
Complex scm(slex);
double nrm = abs(scm-cm()()());
std::vector<int> peer(4);
Complex ctmp = cm;
Integer index=real(ctmp);
Lexicographic::CoorFromIndex(peer,index,latt_size);
Lexicographic::CoorFromIndex(peer,index,powers);
if (nrm > 0){
std::cout<<"FAIL shift "<< shift<<" in dir "<< dir
@ -145,9 +163,10 @@ int main (int argc, char ** argv)
exit(-1);
}
}}}}
std::cout << " OK !"<<std::endl;
int exx=0;
std::cout<<GridLogMessage << "Checking the checkerboard shift"<<std::endl;
std::cout<<GridLogMessage << " Checking the checkerboard shift "<< shift << " dir " << dir <<" ... ";
for(coor[3]=0;coor[3]<latt_size[3];coor[3]++){
for(coor[2]=0;coor[2]<latt_size[2];coor[2]++){
for(coor[1]=0;coor[1]<latt_size[1];coor[1]++){
@ -157,39 +176,49 @@ int main (int argc, char ** argv)
Integer checkerboard = RBFine.CheckerBoard(coor);
// std::cout << " coor "<<" ["<<coor[0]<<","<<coor[1]<<","<<coor[2]<<","<<coor[3]<<"] \n ";
// std::cout << "shift "<< shift <<" dir "<<dir<< " checker board "<< checkerboard << " ";
// std::cout << "Uo " << ShiftUo.checkerboard << " Ue "<<ShiftUe.checkerboard<<std::endl;
if ( checkerboard == ShiftUo.checkerboard ) {
peekSite(cmeo,ShiftUo,coor);
} else {
peekSite(cmeo,ShiftUe,coor);
}
std::vector<int> scoor(coor);
scoor[dir] = (scoor[dir]+shift)%latt_size[dir];
#ifndef POWER10
std::vector<int> powers=latt_size;
Integer slex = scoor[0]
+ latt_size[0]*scoor[1]
+ latt_size[0]*latt_size[1]*scoor[2]
+ latt_size[0]*latt_size[1]*latt_size[2]*scoor[3];
#else
std::vector<int> powers({1,10,100,1000});
Integer slex = scoor[0]
+ 10 *scoor[1]
+ 100 *scoor[2]
+ 1000 *scoor[3];
#endif
Complex scm(slex);
std::vector<int> peer(4);
Complex ctmp=cmeo;
Integer index=real(ctmp);
Lexicographic::CoorFromIndex(peer,index,latt_size);
Lexicographic::CoorFromIndex(peer,index,powers);
double nrm = abs(cmeo()()()-scm);
if (nrm != 0) {
std::cout << " coor "<<" ["<<coor[0]<<","<<coor[1]<<","<<coor[2]<<","<<coor[3]<<"] \n ";
std::cout << "shift "<< shift <<" dir "<<dir<< " checker board "<< checkerboard << " ";
std::cout << "Uo cb = " << ShiftUo.checkerboard << " Ue cb= "<<ShiftUe.checkerboard<<std::endl;
std::cout<<"EOFAIL shift "<< shift<<" in dir "<< dir
<<" ["<<coor[0]<<","<<coor[1]<<","<<coor[2]<<","<<coor[3]<<"] = "
<<" cm " << cm()()()<<" cmeo "
<< cmeo()()()<<" expect "<<scm<<" "<<nrm<<std::endl;
std::cout<<"Got "<<index<<" " << peer[0]<<","<<peer[1]<<","<<peer[2]<<","<<peer[3]<<std::endl;
index=real(scm);
Lexicographic::CoorFromIndex(peer,index,latt_size);
Lexicographic::CoorFromIndex(peer,index,powers);
std::cout<<"Expect "<<index<<" " << peer[0]<<","<<peer[1]<<","<<peer[2]<<","<<peer[3]<<std::endl;
exx=1;
@ -205,17 +234,17 @@ int main (int argc, char ** argv)
<< cm()()()<<" expect "<<scm<<" "<<nrm<<std::endl;
std::cout<<"Got "<<index<<" " << peer[0]<<","<<peer[1]<<","<<peer[2]<<","<<peer[3]<<std::endl;
index=real(scm);
Lexicographic::CoorFromIndex(peer,index,latt_size);
Lexicographic::CoorFromIndex(peer,index,powers);
std::cout<<"Expect "<<index<<" " << peer[0]<<","<<peer[1]<<","<<peer[2]<<","<<peer[3]<<std::endl;
exx=1;
} else if (1) {
} else if (0) {
std::cout<<GridLogMessage<<"PASS shift "<< shift<<" in dir "<< dir
<<" ["<<coor[0]<<","<<coor[1]<<","<<coor[2]<<","<<coor[3]<<"] = "
<< cm()()()<<" expect "<<scm<<" "<<nrm<<std::endl;
}
}}}}
if (exx) exit(-1);
std::cout << " OK !"<<std::endl;
}
}

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@ -32,6 +32,8 @@ Author: paboyle <paboyle@ph.ed.ac.uk>
using namespace Grid;
using namespace Grid::QCD;
#define POWER10
int main (int argc, char ** argv)
{
Grid_init(&argc,&argv);
@ -47,8 +49,9 @@ int main (int argc, char ** argv)
GridCartesian Fine (latt_size,simd_layout,mpi_layout);
GridRedBlackCartesian RBFine(latt_size,simd_layout,mpi_layout,mask,1);
GridParallelRNG FineRNG(&Fine); FineRNG.SeedRandomDevice();
GridParallelRNG FineRNG(&Fine); FineRNG.SeedFixedIntegers(std::vector<int>({45,12,81,9}));
LatticeComplex err(&Fine);
LatticeComplex U(&Fine);
LatticeComplex ShiftU(&Fine);
LatticeComplex rbShiftU(&Fine);
@ -66,9 +69,15 @@ int main (int argc, char ** argv)
for(int d=0;d<Nd;d++){
// Integer i=10000;
Integer i=0;
#ifdef POWER10
LatticeCoordinate(coor,Nd-d-1);
lex = lex + coor*stride+i;
stride=stride*10;
#else
LatticeCoordinate(coor,d);
lex = lex + coor*stride+i;
stride=stride*latt_size[d];
#endif
}
U=lex;
}
@ -87,28 +96,30 @@ int main (int argc, char ** argv)
// if ( dir!=1 ) continue;
for(int shift=0;shift<latt_size[dir];shift++){
std::cout<<GridLogMessage<<"Shifting by "<<shift<<" in direction"<<dir<<std::endl;
std::cout<<GridLogMessage<<"Shifting by "<<shift<<" in direction"<<dir;
std::cout<<GridLogMessage<<"Even grid"<<std::endl;
// std::cout<<GridLogMessage<<"Even grid"<<std::endl;
ShiftUe = Cshift(Ue,dir,shift); // Shift everything cb by cb
std::cout<<GridLogMessage << "\tShiftUe " <<norm2(ShiftUe)<<std::endl;
std::cout<<GridLogMessage<<"Odd grid"<<std::endl;
// std::cout<<GridLogMessage << "\tShiftUe " <<norm2(ShiftUe)<<std::endl;
// std::cout<<GridLogMessage<<"Odd grid"<<std::endl;
ShiftUo = Cshift(Uo,dir,shift);
std::cout<<GridLogMessage << "\tShiftUo " <<norm2(ShiftUo)<<std::endl;
// std::cout<<GridLogMessage << "\tShiftUo " <<norm2(ShiftUo)<<std::endl;
std::cout<<GridLogMessage<<"Recombined Even/Odd grids"<<std::endl;
// std::cout<<GridLogMessage<<"Recombined Even/Odd grids"<<std::endl;
setCheckerboard(rbShiftU,ShiftUe);
setCheckerboard(rbShiftU,ShiftUo);
std::cout<<GridLogMessage << "\trbShiftU " <<norm2(rbShiftU)<<std::endl;
// std::cout<<GridLogMessage << "\trbShiftU " <<norm2(rbShiftU)<<std::endl;
std::cout<<GridLogMessage<<"Full grid shift"<<std::endl;
// std::cout<<GridLogMessage<<"Full grid shift"<<std::endl;
ShiftU = Cshift(U,dir,shift); // Shift everything
std::cout<<GridLogMessage << "\tShiftU " <<norm2(rbShiftU)<<std::endl;
// std::cout<<GridLogMessage << "\tShiftU " <<norm2(rbShiftU)<<std::endl;
err = ShiftU - rbShiftU;
std::cout<< "\terror " <<norm2(err)<<std::endl;
std::vector<int> coor(4);
std::cout<<GridLogMessage << "Checking the non-checkerboard shift"<<std::endl;
std::cout<<GridLogMessage << " Checking the non-checkerboard shift "<< shift << " dir "<<dir <<"... ";
for(coor[3]=0;coor[3]<latt_size[3];coor[3]++){
for(coor[2]=0;coor[2]<latt_size[2];coor[2]++){
for(coor[1]=0;coor[1]<latt_size[1];coor[1]++){
@ -120,11 +131,20 @@ int main (int argc, char ** argv)
std::vector<int> scoor(coor);
scoor[dir] = (scoor[dir]+shift)%latt_size[dir];
#ifdef POWER10
std::vector<int> powers({1,10,100,1000});
Integer slex = scoor[3]
+ 10 *scoor[2]
+ 100 *scoor[1]
+ 1000 *scoor[0];
#else
std::vector<int> powers=latt_size;
Integer slex = scoor[0]
+ latt_size[0]*scoor[1]
+ latt_size[0]*latt_size[1]*scoor[2]
+ latt_size[0]*latt_size[1]*latt_size[2]*scoor[3];
#endif
Complex scm(slex);
@ -132,7 +152,7 @@ int main (int argc, char ** argv)
std::vector<int> peer(4);
Complex ctmp = cm;
Integer index=real(ctmp);
Lexicographic::CoorFromIndex(peer,index,latt_size);
Lexicographic::CoorFromIndex(peer,index,powers);
if (nrm > 0){
std::cout<<"FAIL shift "<< shift<<" in dir "<< dir
@ -140,14 +160,16 @@ int main (int argc, char ** argv)
<< cm()()()<<" expect "<<scm<<" "<<nrm<<std::endl;
std::cout<<"Got "<<index<<" " << peer[0]<<","<<peer[1]<<","<<peer[2]<<","<<peer[3]<<std::endl;
index=real(scm);
Lexicographic::CoorFromIndex(peer,index,latt_size);
Lexicographic::CoorFromIndex(peer,index,powers);
std::cout<<"Expect "<<index<<" " << peer[0]<<","<<peer[1]<<","<<peer[2]<<","<<peer[3]<<std::endl;
exit(-1);
}
}}}}
std::cout<< " OK! "<<std::endl ;
int exx=0;
std::cout<<GridLogMessage << "Checking the checkerboard shift"<<std::endl;
std::cout<<GridLogMessage << " Checking the checkerboard shift "<< shift << " dir " << dir <<"... ";
for(coor[3]=0;coor[3]<latt_size[3];coor[3]++){
for(coor[2]=0;coor[2]<latt_size[2];coor[2]++){
for(coor[1]=0;coor[1]<latt_size[1];coor[1]++){
@ -169,18 +191,26 @@ int main (int argc, char ** argv)
std::vector<int> scoor(coor);
scoor[dir] = (scoor[dir]+shift)%latt_size[dir];
#ifdef POWER10
std::vector<int> powers({1,10,100,1000});
Integer slex = scoor[3]
+ 10 *scoor[2]
+ 100 *scoor[1]
+ 1000 *scoor[0];
#else
std::vector<int> powers = latt_size;
Integer slex = scoor[0]
+ latt_size[0]*scoor[1]
+ latt_size[0]*latt_size[1]*scoor[2]
+ latt_size[0]*latt_size[1]*latt_size[2]*scoor[3];
#endif
Complex scm(slex);
std::vector<int> peer(4);
Complex ctmp=cmeo;
Integer index=real(ctmp);
Lexicographic::CoorFromIndex(peer,index,latt_size);
Lexicographic::CoorFromIndex(peer,index,powers);
double nrm = abs(cmeo()()()-scm);
if (nrm != 0) {
@ -189,10 +219,9 @@ int main (int argc, char ** argv)
<< cmeo()()()<<" expect "<<scm<<" "<<nrm<<std::endl;
std::cout<<"Got "<<index<<" " << peer[0]<<","<<peer[1]<<","<<peer[2]<<","<<peer[3]<<std::endl;
index=real(scm);
Lexicographic::CoorFromIndex(peer,index,latt_size);
Lexicographic::CoorFromIndex(peer,index,powers);
std::cout<<"Expect "<<index<<" " << peer[0]<<","<<peer[1]<<","<<peer[2]<<","<<peer[3]<<std::endl;
exx=1;
}
ctmp=cm;
@ -205,16 +234,17 @@ int main (int argc, char ** argv)
<< cm()()()<<" expect "<<scm<<" "<<nrm<<std::endl;
std::cout<<"Got "<<index<<" " << peer[0]<<","<<peer[1]<<","<<peer[2]<<","<<peer[3]<<std::endl;
index=real(scm);
Lexicographic::CoorFromIndex(peer,index,latt_size);
Lexicographic::CoorFromIndex(peer,index,powers);
std::cout<<"Expect "<<index<<" " << peer[0]<<","<<peer[1]<<","<<peer[2]<<","<<peer[3]<<std::endl;
exx=1;
} else if (1) {
} else if (0) {
std::cout<<GridLogMessage<<"PASS shift "<< shift<<" in dir "<< dir
<<" ["<<coor[0]<<","<<coor[1]<<","<<coor[2]<<","<<coor[3]<<"] = "
<< cm()()()<<" expect "<<scm<<" "<<nrm<<std::endl;
}
}}}}
if (exx) exit(-1);
std::cout<< " OK! "<<std::endl ;
}
}

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@ -41,11 +41,10 @@ int main (int argc, char ** argv)
GridCartesian Fine(latt_size,simd_layout,mpi_layout);
GridParallelRNG FineRNG(&Fine); FineRNG.SeedRandomDevice();
GridParallelRNG FineRNG(&Fine); FineRNG.SeedFixedIntegers(std::vector<int>({45,12,81,9}));
LatticeComplex U(&Fine);
LatticeComplex ShiftU(&Fine);
LatticeComplex lex(&Fine);
lex=zero;
Integer stride =1;

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@ -72,7 +72,7 @@ int main (int argc, char ** argv)
LatticeFermion ref(FGrid); ref=zero;
LatticeFermion tmp(FGrid); tmp=zero;
LatticeFermion err(FGrid); tmp=zero;
LatticeGaugeField Umu(UGrid); random(RNG4,Umu);
LatticeGaugeField Umu(UGrid); SU3::HotConfiguration(RNG4,Umu);
std::vector<LatticeColourMatrix> U(4,UGrid);
// Only one non-zero (y)

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@ -81,7 +81,7 @@ int main (int argc, char ** argv)
LatticeFermion tmp(FGrid);
LatticeFermion err(FGrid);
LatticeGaugeField Umu(UGrid); random(RNG4,Umu);
LatticeGaugeField Umu(UGrid); SU3::HotConfiguration(RNG4,Umu);
std::vector<LatticeColourMatrix> U(4,UGrid);
// Only one non-zero (y)

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@ -245,7 +245,7 @@ int main(int argc, char *argv[])
GridCartesian Grid(latt_size,simd_layout,mpi_layout);
GridSerialRNG sRNG;
sRNG.SeedRandomDevice();
sRNG.SeedFixedIntegers(std::vector<int>({45,12,81,9}));
std::cout << GridLogMessage << "======== Test algebra" << std::endl;
createTestAlgebra();

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@ -50,7 +50,7 @@ int main (int argc, char ** argv)
GridParallelRNG pRNG(&Grid);
// std::vector<int> seeds({1,2,3,4});
// pRNG.SeedFixedIntegers(seeds);
pRNG.SeedRandomDevice();
pRNG.SeedFixedIntegers(std::vector<int>({45,12,81,9}));
typedef typename GparityWilsonFermionR::FermionField FermionField;
@ -61,7 +61,7 @@ int main (int argc, char ** argv)
FermionField ref(&Grid); ref=zero;
FermionField tmp(&Grid); tmp=zero;
FermionField err(&Grid); tmp=zero;
LatticeGaugeField Umu(&Grid); random(pRNG,Umu);
LatticeGaugeField Umu(&Grid); SU3::HotConfiguration(pRNG,Umu);
std::vector<LatticeColourMatrix> U(4,&Grid);
double volume=1;

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@ -86,7 +86,7 @@ int main(int argc, char** argv) {
// Projectors
GridParallelRNG gridRNG(grid);
gridRNG.SeedRandomDevice();
gridRNG.SeedFixedIntegers(std::vector<int>({45,12,81,9}));
SU3Adjoint::LatticeAdjMatrix Gauss(grid);
SU3::LatticeAlgebraVector ha(grid);
SU3::LatticeAlgebraVector hb(grid);

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@ -89,8 +89,8 @@ int main(int argc, char **argv) {
GridSerialRNG SerialRNG;
GridSerialRNG SerialRNG1;
FineRNG.SeedRandomDevice();
SerialRNG.SeedRandomDevice();
FineRNG.SeedFixedIntegers(std::vector<int>({45,12,81,9}));
SerialRNG.SeedFixedIntegers(std::vector<int>({45,12,81,9}));
std::cout << "SerialRNG" << SerialRNG._generators[0] << std::endl;

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@ -43,10 +43,10 @@ int main (int argc, char ** argv)
std::vector<int> seeds({1,2,3,4});
GridSerialRNG sRNG; sRNG.SeedRandomDevice();
GridSerialRNG sRNG; sRNG.SeedFixedIntegers(std::vector<int>({45,12,81,9}));
GridSerialRNG fsRNG; fsRNG.SeedFixedIntegers(seeds);
GridParallelRNG pRNG(&Grid); pRNG.SeedRandomDevice();
GridParallelRNG pRNG(&Grid); pRNG.SeedFixedIntegers(std::vector<int>({45,12,81,9}));
GridParallelRNG fpRNG(&Grid); fpRNG.SeedFixedIntegers(seeds);
SpinMatrix rnd ;

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@ -0,0 +1,291 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./benchmarks/Benchmark_wilson.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;
int main (int argc, char ** argv)
{
Grid_init(&argc,&argv);
std::vector<int> latt_size = GridDefaultLatt();
std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
std::vector<int> mpi_layout = GridDefaultMpi();
GridCartesian Grid(latt_size,simd_layout,mpi_layout);
GridRedBlackCartesian RBGrid(latt_size,simd_layout,mpi_layout);
int threads = GridThread::GetThreads();
std::cout<<GridLogMessage << "Grid is setup to use "<<threads<<" threads"<<std::endl;
std::cout<<GridLogMessage << "Grid floating point word size is REALF"<< sizeof(RealF)<<std::endl;
std::cout<<GridLogMessage << "Grid floating point word size is REALD"<< sizeof(RealD)<<std::endl;
std::cout<<GridLogMessage << "Grid floating point word size is REAL"<< sizeof(Real)<<std::endl;
std::vector<int> seeds({1,2,3,4});
GridParallelRNG pRNG(&Grid);
pRNG.SeedFixedIntegers(seeds);
// pRNG.SeedFixedIntegers(std::vector<int>({45,12,81,9});
typedef typename ImprovedStaggeredFermionR::FermionField FermionField;
typedef typename ImprovedStaggeredFermionR::ComplexField ComplexField;
typename ImprovedStaggeredFermionR::ImplParams params;
FermionField src (&Grid); random(pRNG,src);
FermionField result(&Grid); result=zero;
FermionField ref(&Grid); ref=zero;
FermionField tmp(&Grid); tmp=zero;
FermionField err(&Grid); tmp=zero;
FermionField phi (&Grid); random(pRNG,phi);
FermionField chi (&Grid); random(pRNG,chi);
LatticeGaugeField Umu(&Grid); SU3::HotConfiguration(pRNG,Umu);
std::vector<LatticeColourMatrix> U(4,&Grid);
double volume=1;
for(int mu=0;mu<Nd;mu++){
volume=volume*latt_size[mu];
}
// Only one non-zero (y)
for(int mu=0;mu<Nd;mu++){
U[mu] = PeekIndex<LorentzIndex>(Umu,mu);
/* Debug force unit
U[mu] = 1.0;
PokeIndex<LorentzIndex>(Umu,U[mu],mu);
*/
}
ref = zero;
RealD mass=0.1;
RealD c1=9.0/8.0;
RealD c2=-1.0/24.0;
RealD u0=1.0;
{ // Simple improved staggered implementation
ref = zero;
RealD c1tad = 0.5*c1/u0;
RealD c2tad = 0.5*c2/u0/u0/u0;
Lattice<iScalar<vInteger> > coor(&Grid);
Lattice<iScalar<vInteger> > x(&Grid); LatticeCoordinate(x,0);
Lattice<iScalar<vInteger> > y(&Grid); LatticeCoordinate(y,1);
Lattice<iScalar<vInteger> > z(&Grid); LatticeCoordinate(z,2);
Lattice<iScalar<vInteger> > t(&Grid); LatticeCoordinate(t,3);
Lattice<iScalar<vInteger> > lin_z(&Grid); lin_z=x+y;
Lattice<iScalar<vInteger> > lin_t(&Grid); lin_t=x+y+z;
for(int mu=0;mu<Nd;mu++){
// Staggered Phase.
ComplexField phases(&Grid); phases=1.0;
if ( mu == 1 ) phases = where( mod(x ,2)==(Integer)0, phases,-phases);
if ( mu == 2 ) phases = where( mod(lin_z,2)==(Integer)0, phases,-phases);
if ( mu == 3 ) phases = where( mod(lin_t,2)==(Integer)0, phases,-phases);
tmp = PeriodicBC::CovShiftForward(U[mu],mu,src);
ref = ref +c1tad*tmp*phases; // Forward 1 hop
tmp = PeriodicBC::CovShiftForward(U[mu],mu,tmp); // 2 hop
tmp = PeriodicBC::CovShiftForward(U[mu],mu,tmp); // 3 hop
ref = ref +c2tad*tmp*phases; // Forward 3 hop
tmp = PeriodicBC::CovShiftBackward(U[mu],mu,src);
ref = ref -c1tad*tmp*phases; // Forward 3 hop
tmp = PeriodicBC::CovShiftBackward(U[mu],mu,tmp);
tmp = PeriodicBC::CovShiftBackward(U[mu],mu,tmp);
ref = ref -c2tad*tmp*phases; // Forward 3 hop
}
// ref = ref + mass * src;
}
ImprovedStaggeredFermionR Ds(Umu,Umu,Grid,RBGrid,mass,c1,c2,u0,params);
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
std::cout<<GridLogMessage<<"= Testing Dhop against cshift implementation "<<std::endl;
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
std::cout<<GridLogMessage << "Calling Ds"<<std::endl;
int ncall=1000;
double t0=usecond();
for(int i=0;i<ncall;i++){
Ds.Dhop(src,result,0);
}
double t1=usecond();
double t2;
double flops=(16*(3*(6+8+8)) + 15*3*2)*volume*ncall; // == 66*16 + == 1146
std::cout<<GridLogMessage << "Called Ds"<<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;
err = ref-result;
std::cout<<GridLogMessage << "norm diff "<< norm2(err)<<std::endl;
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
std::cout<<GridLogMessage<<"= Testing that Deo + Doe = Dunprec "<<std::endl;
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
FermionField src_e (&RBGrid);
FermionField src_o (&RBGrid);
FermionField r_e (&RBGrid);
FermionField r_o (&RBGrid);
FermionField r_eo (&Grid);
pickCheckerboard(Even,src_e,src);
pickCheckerboard(Odd,src_o,src);
Ds.Meooe(src_e,r_o); std::cout<<GridLogMessage<<"Applied Meo"<<std::endl;
Ds.Meooe(src_o,r_e); std::cout<<GridLogMessage<<"Applied Moe"<<std::endl;
Ds.Dhop (src,ref,DaggerNo);
setCheckerboard(r_eo,r_o);
setCheckerboard(r_eo,r_e);
err= ref - r_eo;
std::cout<<GridLogMessage << "EO norm diff "<< norm2(err)<< " "<<norm2(ref)<< " " << norm2(r_eo) <<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;
FermionField chi_e (&RBGrid);
FermionField chi_o (&RBGrid);
FermionField dchi_e (&RBGrid);
FermionField dchi_o (&RBGrid);
FermionField phi_e (&RBGrid);
FermionField phi_o (&RBGrid);
FermionField dphi_e (&RBGrid);
FermionField dphi_o (&RBGrid);
pickCheckerboard(Even,chi_e,chi);
pickCheckerboard(Odd ,chi_o,chi);
pickCheckerboard(Even,phi_e,phi);
pickCheckerboard(Odd ,phi_o,phi);
Ds.Meooe(chi_e,dchi_o);
Ds.Meooe(chi_o,dchi_e);
Ds.MeooeDag(phi_e,dphi_o);
Ds.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;
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);
Ds.Mooee(chi_e,src_e);
Ds.MooeeInv(src_e,phi_e);
Ds.Mooee(chi_o,src_o);
Ds.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);
Ds.MooeeDag(chi_e,src_e);
Ds.MooeeInvDag(src_e,phi_e);
Ds.MooeeDag(chi_o,src_o);
Ds.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(pRNG,phi);
random(pRNG,chi);
pickCheckerboard(Even,chi_e,chi);
pickCheckerboard(Odd ,chi_o,chi);
pickCheckerboard(Even,phi_e,phi);
pickCheckerboard(Odd ,phi_o,phi);
SchurDiagMooeeOperator<ImprovedStaggeredFermionR,FermionField> HermOpEO(Ds);
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();
}

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/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./benchmarks/Benchmark_wilson.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;
int main (int argc, char ** argv)
{
Grid_init(&argc,&argv);
std::vector<int> latt_size = GridDefaultLatt();
std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
std::vector<int> mpi_layout = GridDefaultMpi();
std::cout << GridLogMessage << "Making s innermost grids"<<std::endl;
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);
int threads = GridThread::GetThreads();
std::cout<<GridLogMessage << "Grid is setup to use "<<threads<<" threads"<<std::endl;
std::cout<<GridLogMessage << "Grid floating point word size is REALF"<< sizeof(RealF)<<std::endl;
std::cout<<GridLogMessage << "Grid floating point word size is REALD"<< sizeof(RealD)<<std::endl;
std::cout<<GridLogMessage << "Grid floating point word size is REAL"<< sizeof(Real)<<std::endl;
std::vector<int> seeds({1,2,3,4});
GridParallelRNG pRNG4(UGrid);
GridParallelRNG pRNG5(FGrid);
pRNG4.SeedFixedIntegers(seeds);
pRNG5.SeedFixedIntegers(seeds);
typedef typename ImprovedStaggeredFermion5DR::FermionField FermionField;
typedef typename ImprovedStaggeredFermion5DR::ComplexField ComplexField;
typename ImprovedStaggeredFermion5DR::ImplParams params;
FermionField src (FGrid);
random(pRNG5,src);
FermionField result(FGrid); result=zero;
FermionField ref(FGrid); ref=zero;
FermionField tmp(FGrid); tmp=zero;
FermionField err(FGrid); tmp=zero;
FermionField phi (FGrid); random(pRNG5,phi);
FermionField chi (FGrid); random(pRNG5,chi);
LatticeGaugeField Umu(UGrid); SU3::ColdConfiguration(pRNG4,Umu);
LatticeGaugeField Umua(UGrid); Umua=Umu;
double volume=Ls;
for(int mu=0;mu<Nd;mu++){
volume=volume*latt_size[mu];
}
////////////////////////////////////
// Naive implementation needs to
// replicate across fifth dimension
////////////////////////////////////
LatticeGaugeField Umu5d(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];
}
}
std::vector<LatticeColourMatrix> U(4,FGrid);
for(int mu=0;mu<Nd;mu++){
U[mu] = PeekIndex<LorentzIndex>(Umu5d,mu);
}
RealD mass=0.1;
RealD c1=9.0/8.0;
RealD c2=-1.0/24.0;
RealD u0=1.0;
{ // Simple improved staggered implementation
ref = zero;
RealD c1tad = 0.5*c1/u0;
RealD c2tad = 0.5*c2/u0/u0/u0;
Lattice<iScalar<vInteger> > coor(FGrid);
Lattice<iScalar<vInteger> > x(FGrid); LatticeCoordinate(x,1); // s innermost
Lattice<iScalar<vInteger> > y(FGrid); LatticeCoordinate(y,2);
Lattice<iScalar<vInteger> > z(FGrid); LatticeCoordinate(z,3);
Lattice<iScalar<vInteger> > t(FGrid); LatticeCoordinate(t,4);
Lattice<iScalar<vInteger> > lin_z(FGrid); lin_z=x+y;
Lattice<iScalar<vInteger> > lin_t(FGrid); lin_t=x+y+z;
for(int mu=0;mu<Nd;mu++){
// Staggered Phase.
ComplexField phases(FGrid); phases=1.0;
if ( mu == 1 ) phases = where( mod(x ,2)==(Integer)0, phases,-phases);
if ( mu == 2 ) phases = where( mod(lin_z,2)==(Integer)0, phases,-phases);
if ( mu == 3 ) phases = where( mod(lin_t,2)==(Integer)0, phases,-phases);
tmp = PeriodicBC::CovShiftForward(U[mu],mu+1,src);
ref = ref +c1tad*tmp*phases; // Forward 1 hop
tmp = PeriodicBC::CovShiftForward(U[mu],mu+1,tmp); // 2 hop
tmp = PeriodicBC::CovShiftForward(U[mu],mu+1,tmp); // 3 hop
ref = ref +c2tad*tmp*phases; // Forward 3 hop
tmp = PeriodicBC::CovShiftBackward(U[mu],mu+1,src);
ref = ref -c1tad*tmp*phases; // Forward 3 hop
tmp = PeriodicBC::CovShiftBackward(U[mu],mu+1,tmp);
tmp = PeriodicBC::CovShiftBackward(U[mu],mu+1,tmp);
ref = ref -c2tad*tmp*phases; // Forward 3 hop
}
}
ImprovedStaggeredFermion5DR Ds(Umu,Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,c1,c2,u0,params);
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
std::cout<<GridLogMessage<<"= Testing Dhop against cshift implementation "<<std::endl;
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
std::cout<<GridLogMessage << "Calling Ds"<<std::endl;
int ncall=1000;
double t0=usecond();
for(int i=0;i<ncall;i++){
Ds.Dhop(src,result,0);
}
double t1=usecond();
double t2;
double flops=(16*(3*(6+8+8)) + 15*3*2)*volume*ncall; // == 66*16 + == 1146
std::cout<<GridLogMessage << "Called Ds"<<std::endl;
// std::cout<<GridLogMessage << "result"<< result <<std::endl;
// std::cout<<GridLogMessage << "ref "<< ref <<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;
err = ref-result;
std::cout<<GridLogMessage << "norm diff "<< norm2(err)<<std::endl;
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
std::cout<<GridLogMessage<<"= Testing that Deo + Doe = Dunprec "<<std::endl;
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
FermionField src_e (FrbGrid);
FermionField src_o (FrbGrid);
FermionField r_e (FrbGrid);
FermionField r_o (FrbGrid);
FermionField r_eo (FGrid);
pickCheckerboard(Even,src_e,src);
pickCheckerboard(Odd,src_o,src);
Ds.Meooe(src_e,r_o); std::cout<<GridLogMessage<<"Applied Meo"<<std::endl;
Ds.Meooe(src_o,r_e); std::cout<<GridLogMessage<<"Applied Moe"<<std::endl;
Ds.Dhop (src,ref,DaggerNo);
setCheckerboard(r_eo,r_o);
setCheckerboard(r_eo,r_e);
err= ref - r_eo;
std::cout<<GridLogMessage << "EO norm diff "<< norm2(err)<< " "<<norm2(ref)<< " " << norm2(r_eo) <<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;
FermionField chi_e (FrbGrid);
FermionField chi_o (FrbGrid);
FermionField dchi_e (FrbGrid);
FermionField dchi_o (FrbGrid);
FermionField phi_e (FrbGrid);
FermionField phi_o (FrbGrid);
FermionField dphi_e (FrbGrid);
FermionField dphi_o (FrbGrid);
pickCheckerboard(Even,chi_e,chi);
pickCheckerboard(Odd ,chi_o,chi);
pickCheckerboard(Even,phi_e,phi);
pickCheckerboard(Odd ,phi_o,phi);
Ds.Meooe(chi_e,dchi_o);
Ds.Meooe(chi_o,dchi_e);
Ds.MeooeDag(phi_e,dphi_o);
Ds.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;
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);
Ds.Mooee(chi_e,src_e);
Ds.MooeeInv(src_e,phi_e);
Ds.Mooee(chi_o,src_o);
Ds.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);
Ds.MooeeDag(chi_e,src_e);
Ds.MooeeInvDag(src_e,phi_e);
Ds.MooeeDag(chi_o,src_o);
Ds.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(pRNG5,phi);
random(pRNG5,chi);
pickCheckerboard(Even,chi_e,chi);
pickCheckerboard(Odd ,chi_o,chi);
pickCheckerboard(Even,phi_e,phi);
pickCheckerboard(Odd ,phi_o,phi);
SchurDiagMooeeOperator<ImprovedStaggeredFermion5DR,FermionField> HermOpEO(Ds);
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();
}

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@ -0,0 +1,193 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./benchmarks/Benchmark_wilson.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;
int main (int argc, char ** argv)
{
Grid_init(&argc,&argv);
std::vector<int> latt_size = GridDefaultLatt();
std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
std::vector<int> mpi_layout = GridDefaultMpi();
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);
int threads = GridThread::GetThreads();
std::cout<<GridLogMessage << "Grid is setup to use "<<threads<<" threads"<<std::endl;
std::vector<int> seeds({1,2,3,4});
GridParallelRNG pRNG4(UGrid);
GridParallelRNG pRNG5(FGrid);
pRNG4.SeedFixedIntegers(seeds);
pRNG5.SeedFixedIntegers(seeds);
typedef typename ImprovedStaggeredFermion5DR::FermionField FermionField;
typedef typename ImprovedStaggeredFermion5DR::ComplexField ComplexField;
typename ImprovedStaggeredFermion5DR::ImplParams params;
FermionField src (FGrid);
random(pRNG5,src);
/*
std::vector<int> site({0,1,2,0,0});
ColourVector cv = zero;
cv()()(0)=1.0;
src = zero;
pokeSite(cv,src,site);
*/
FermionField result(FGrid); result=zero;
FermionField tmp(FGrid); tmp=zero;
FermionField err(FGrid); tmp=zero;
FermionField phi (FGrid); random(pRNG5,phi);
FermionField chi (FGrid); random(pRNG5,chi);
LatticeGaugeField Umu(UGrid);
SU3::HotConfiguration(pRNG4,Umu);
/*
for(int mu=1;mu<4;mu++){
auto tmp = PeekIndex<LorentzIndex>(Umu,mu);
tmp = zero;
PokeIndex<LorentzIndex>(Umu,tmp,mu);
}
*/
double volume=Ls;
for(int mu=0;mu<Nd;mu++){
volume=volume*latt_size[mu];
}
RealD mass=0.1;
RealD c1=9.0/8.0;
RealD c2=-1.0/24.0;
RealD u0=1.0;
ImprovedStaggeredFermion5DR Ds(Umu,Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,c1,c2,u0,params);
ImprovedStaggeredFermionVec5dR sDs(Umu,Umu,*sFGrid,*sFrbGrid,*sUGrid,*sUrbGrid,mass,c1,c2,u0,params);
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
std::cout<<GridLogMessage<<"= Testing Dhop against cshift implementation "<<std::endl;
std::cout<<GridLogMessage<<"=========================================================="<<std::endl;
int ncall=1000;
int ncall1=1000;
double t0(0),t1(0);
double flops=(16*(3*(6+8+8)) + 15*3*2)*volume*ncall; // == 66*16 + == 1146
std::cout<<GridLogMessage << "Calling staggered operator"<<std::endl;
t0=usecond();
for(int i=0;i<ncall1;i++){
Ds.Dhop(src,result,0);
}
t1=usecond();
std::cout<<GridLogMessage << "Called Ds"<<std::endl;
std::cout<<GridLogMessage << "norm result "<< norm2(result)<<std::endl;
std::cout<<GridLogMessage << "mflop/s = "<< flops/(t1-t0)<<std::endl;
std::cout<<GridLogMessage << "Calling vectorised staggered operator"<<std::endl;
#ifdef AVX512
QCD::StaggeredKernelsStatic::Opt=QCD::StaggeredKernelsStatic::OptInlineAsm;
#else
QCD::StaggeredKernelsStatic::Opt=QCD::StaggeredKernelsStatic::OptGeneric;
#endif
t0=usecond();
for(int i=0;i<ncall1;i++){
Ds.Dhop(src,tmp,0);
}
t1=usecond();
std::cout<<GridLogMessage << "Called Ds ASM"<<std::endl;
std::cout<<GridLogMessage << "norm result "<< norm2(tmp)<<std::endl;
std::cout<<GridLogMessage << "mflop/s = "<< flops/(t1-t0)<<std::endl;
err = tmp-result;
std::cout<<GridLogMessage << "norm diff "<< norm2(err)<<std::endl;
FermionField ssrc (sFGrid); localConvert(src,ssrc);
FermionField sresult(sFGrid); sresult=zero;
QCD::StaggeredKernelsStatic::Opt=QCD::StaggeredKernelsStatic::OptHandUnroll;
t0=usecond();
for(int i=0;i<ncall1;i++){
sDs.Dhop(ssrc,sresult,0);
}
t1=usecond();
localConvert(sresult,tmp);
std::cout<<GridLogMessage << "Called sDs unroll"<<std::endl;
std::cout<<GridLogMessage << "norm result "<< norm2(sresult)<<std::endl;
std::cout<<GridLogMessage << "mflop/s = "<< flops/(t1-t0)<<std::endl;
#ifdef AVX512
QCD::StaggeredKernelsStatic::Opt=QCD::StaggeredKernelsStatic::OptInlineAsm;
#else
QCD::StaggeredKernelsStatic::Opt=QCD::StaggeredKernelsStatic::OptGeneric;
#endif
err = tmp-result;
std::cout<<GridLogMessage << "norm diff "<< norm2(err)<<std::endl;
int extra=1;
t0=usecond();
for(int i=0;i<ncall1*extra;i++){
sDs.Dhop(ssrc,sresult,0);
}
t1=usecond();
localConvert(sresult,tmp);
std::cout<<GridLogMessage << "Called sDs asm"<<std::endl;
std::cout<<GridLogMessage << "norm result "<< norm2(sresult)<<std::endl;
std::cout<<GridLogMessage << "mflop/s = "<< flops/(t1-t0)*extra<<std::endl;
err = tmp-result;
std::cout<<GridLogMessage << "norm diff "<< norm2(err)<<std::endl;
Grid_finalize();
}

View File

@ -62,7 +62,7 @@ int main (int argc, char ** argv)
GridParallelRNG pRNG(&Grid);
// std::vector<int> seeds({1,2,3,4});
// pRNG.SeedFixedIntegers(seeds);
pRNG.SeedRandomDevice();
pRNG.SeedFixedIntegers(std::vector<int>({45,12,81,9}));
LatticeFermion src (&Grid); random(pRNG,src);
LatticeFermion phi (&Grid); random(pRNG,phi);
@ -71,7 +71,7 @@ int main (int argc, char ** argv)
LatticeFermion ref(&Grid); ref=zero;
LatticeFermion tmp(&Grid); tmp=zero;
LatticeFermion err(&Grid); tmp=zero;
LatticeGaugeField Umu(&Grid); random(pRNG,Umu);
LatticeGaugeField Umu(&Grid); SU3::HotConfiguration(pRNG,Umu);
std::vector<LatticeColourMatrix> U(4,&Grid);
double volume=1;

View File

@ -61,7 +61,7 @@ int main (int argc, char ** argv)
GridParallelRNG pRNG(&Grid);
// std::vector<int> seeds({1,2,3,4});
// pRNG.SeedFixedIntegers(seeds);
pRNG.SeedRandomDevice();
pRNG.SeedFixedIntegers(std::vector<int>({45,12,81,9}));
LatticeFermion src (&Grid); random(pRNG,src);
LatticeFermion phi (&Grid); random(pRNG,phi);
@ -70,7 +70,7 @@ int main (int argc, char ** argv)
LatticeFermion ref(&Grid); ref=zero;
LatticeFermion tmp(&Grid); tmp=zero;
LatticeFermion err(&Grid); tmp=zero;
LatticeGaugeField Umu(&Grid); random(pRNG,Umu);
LatticeGaugeField Umu(&Grid); SU3::HotConfiguration(pRNG,Umu);
std::vector<LatticeColourMatrix> U(4,&Grid);
double volume=1;

View File

@ -0,0 +1,287 @@
/*************************************************************************************
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=10;
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;
#if 0
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*0.01);
omegas.push_back(temp);
}
#else
omegas.push_back( std::complex<double>(1.45806438985048,-0) );
omegas.push_back( std::complex<double>(1.18231318389348,-0) );
omegas.push_back( std::complex<double>(0.830951166685955,-0) );
omegas.push_back( std::complex<double>(0.542352409156791,-0) );
omegas.push_back( std::complex<double>(0.341985020453729,-0) );
omegas.push_back( std::complex<double>(0.21137902619029,-0) );
omegas.push_back( std::complex<double>(0.126074299502912,-0) );
omegas.push_back( std::complex<double>(0.0990136651962626,-0) );
omegas.push_back( std::complex<double>(0.0686324988446592,0.0550658530827402) );
omegas.push_back( std::complex<double>(0.0686324988446592,-0.0550658530827402) );
#endif
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();
}