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Mobius Caley form, Mobius Zolotarev operators. Pass Even Odd vs unprec test and hermiticity checks

Browse Source 
in tests/Grid_any_evenodd.cc; will work on inversion tests shortly.
This commit is contained in:
Peter Boyle 2015-06-03 09:36:26 +01:00
parent 35fdba81dd
commit 5916386242
10 changed files with 507 additions and 95 deletions
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8
lib/qcd/action/Actions.h
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@ -38,6 +38,9 @@
//#include <qcd/action/fermion/PartialFraction.h>
#include <qcd/action/fermion/DomainWallFermion.h>
#include <qcd/action/fermion/DomainWallFermion.h>
#include <qcd/action/fermion/MobiusFermion.h>
#include <qcd/action/fermion/MobiusZolotarevFermion.h>
//#include <qcd/action/fermion/ScaledShamirCayleyTanh.h>
@ -70,11 +73,6 @@
class LinearGaugeAction : public GaugeAction< multi1d<LatticeColorMatrix>, multi1d<LatticeColorMatrix> >
typedef multi1d<LatticeColorMatrix> P;
typedef multi1d<LatticeColorMatrix> Q;
virtual void staple(LatticeColorMatrix& result,
const Handle< GaugeState<P,Q> >& state,
int mu, int cb) const = 0;
*/
#endif

110
lib/qcd/action/fermion/CayleyFermion5D.cc
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@ -15,7 +15,6 @@ namespace QCD {
FourDimRedBlackGrid,_M5),
mass(_mass)
{
std::cout << "Constructing a CayleyFermion5D"<<std::endl;
}
// override multiply
@ -229,7 +228,112 @@ namespace QCD {
axpby_ssp_pplus (chi,1.0,chi,-lee[s],chi,s,s+1); // chi[Ls]
}
}
void CayleyFermion5D::SetCoefficients(RealD scale,Approx::zolotarev_data *zdata,RealD b,RealD c)
{
///////////////////////////////////////////////////////////
// The Cayley coeffs (unprec)
///////////////////////////////////////////////////////////
omega.resize(Ls);
bs.resize(Ls);
cs.resize(Ls);
as.resize(Ls);
//
// Ts = ( [bs+cs]Dw )^-1 ( (bs+cs) Dw )
// -(g5 ------- -1 ) ( g5 --------- + 1 )
// ( {2+(bs-cs)Dw} ) ( 2+(bs-cs) Dw )
//
// bs = 1/2( (1/omega_s + 1)*b + (1/omega - 1)*c ) = 1/2( 1/omega(b+c) + (b-c) )
// cs = 1/2( (1/omega_s - 1)*b + (1/omega + 1)*c ) = 1/2( 1/omega(b+c) - (b-c) )
//
// bs+cs = 0.5*( 1/omega(b+c) + (b-c) + 1/omega(b+c) - (b-c) ) = 1/omega(b+c)
// bs-cs = 0.5*( 1/omega(b+c) + (b-c) - 1/omega(b+c) + (b-c) ) = b-c
//
// So
//
// Ts = ( [b+c]Dw/omega_s )^-1 ( (b+c) Dw /omega_s )
// -(g5 ------- -1 ) ( g5 --------- + 1 )
// ( {2+(b-c)Dw} ) ( 2+(b-c) Dw )
//
// Ts = ( [b+c]Dw )^-1 ( (b+c) Dw )
// -(g5 ------- -omega_s) ( g5 --------- + omega_s )
// ( {2+(b-c)Dw} ) ( 2+(b-c) Dw )
//
double bpc = b+c;
double bmc = b-c;
for(int i=0; i < Ls; i++){
as[i] = 1.0;
omega[i] = ((double)zdata->gamma[i]); //NB reciprocal relative to Chroma NEF code
bs[i] = 0.5*(bpc/omega[i] + bmc);
cs[i] = 0.5*(bpc/omega[i] - bmc);
}
////////////////////////////////////////////////////////
// Constants for the preconditioned matrix Cayley form
////////////////////////////////////////////////////////
bee.resize(Ls);
cee.resize(Ls);
beo.resize(Ls);
ceo.resize(Ls);
for(int i=0;i<Ls;i++){
bee[i]=as[i]*(bs[i]*(4.0-M5) +1.0);
cee[i]=as[i]*(1.0-cs[i]*(4.0-M5));
beo[i]=as[i]*bs[i];
ceo[i]=-as[i]*cs[i];
}
aee.resize(Ls);
aeo.resize(Ls);
for(int i=0;i<Ls;i++){
aee[i]=cee[i];
aeo[i]=ceo[i];
}
//////////////////////////////////////////
// LDU decomposition of eeoo
//////////////////////////////////////////
dee.resize(Ls);
lee.resize(Ls);
leem.resize(Ls);
uee.resize(Ls);
ueem.resize(Ls);
for(int i=0;i<Ls;i++){
dee[i] = bee[i];
if ( i < Ls-1 ) {
lee[i] =-cee[i+1]/bee[i]; // sub-diag entry on the ith column
leem[i]=mass*cee[Ls-1]/bee[0];
for(int j=0;j<i;j++) leem[i]*= aee[j]/bee[j+1];
uee[i] =-aee[i]/bee[i]; // up-diag entry on the ith row
ueem[i]=mass;
for(int j=1;j<=i;j++) ueem[i]*= cee[j]/bee[j];
ueem[i]*= aee[0]/bee[0];
} else {
lee[i] =0.0;
leem[i]=0.0;
uee[i] =0.0;
ueem[i]=0.0;
}
}
{
double delta_d=mass*cee[Ls-1];
for(int j=0;j<Ls-1;j++) delta_d *= cee[j]/bee[j];
dee[Ls-1] += delta_d;
}
}
}}
}
}

6
lib/qcd/action/fermion/CayleyFermion5D.h
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@ -22,10 +22,8 @@ namespace Grid {
virtual void MooeeInvDag (const LatticeFermion &in, LatticeFermion &out);
// protected:
Approx::zolotarev_data *zdata;
RealD mass;
// Cayley form Moebius (tanh and zolotarev)
std::vector<RealD> omega;
std::vector<RealD> bs; // S dependent coeffs
@ -53,6 +51,8 @@ namespace Grid {
GridRedBlackCartesian &FourDimRedBlackGrid,
RealD _mass,RealD _M5);
protected:
void SetCoefficients(RealD scale,Approx::zolotarev_data *zdata,RealD b,RealD c);
};
}

83
lib/qcd/action/fermion/DomainWallFermion.h
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@ -28,86 +28,13 @@ namespace Grid {
{
RealD eps = 1.0;
zdata = Approx::grid_higham(eps,this->Ls);// eps is ignored for higham
Approx::zolotarev_data *zdata = Approx::grid_higham(eps,this->Ls);// eps is ignored for higham
assert(zdata->n==this->Ls);
std::cout << "DomainWallFermion with Ls="<<Ls<<std::endl;
// Call base setter
this->CayleyFermion5D::SetCoefficients(1.0,zdata,1.0,0.0);
///////////////////////////////////////////////////////////
// The Cayley coeffs (unprec)
///////////////////////////////////////////////////////////
this->omega.resize(this->Ls);
this->bs.resize(this->Ls);
this->cs.resize(this->Ls);
this->as.resize(this->Ls);
for(int i=0; i < this->Ls; i++){
this->as[i] = 1.0;
this->omega[i] = ((double)zdata -> gamma[i]);
double bb=1.0;
this->bs[i] = 0.5*(bb/(this->omega[i]) + 1.0);
this->cs[i] = 0.5*(bb/(this->omega[i]) - 1.0);
}
////////////////////////////////////////////////////////
// Constants for the preconditioned matrix Cayley form
////////////////////////////////////////////////////////
this->bee.resize(this->Ls);
this->cee.resize(this->Ls);
this->beo.resize(this->Ls);
this->ceo.resize(this->Ls);
for(int i=0;i<this->Ls;i++){
this->bee[i]=as[i]*(bs[i]*(4.0-M5) +1.0);
this->cee[i]=as[i]*(1.0-cs[i]*(4.0-M5));
this->beo[i]=as[i]*bs[i];
this->ceo[i]=-as[i]*cs[i];
}
aee.resize(this->Ls);
aeo.resize(this->Ls);
for(int i=0;i<this->Ls;i++){
aee[i]=cee[i];
aeo[i]=ceo[i];
}
//////////////////////////////////////////
// LDU decomposition of eeoo
//////////////////////////////////////////
dee.resize(this->Ls);
lee.resize(this->Ls);
leem.resize(this->Ls);
uee.resize(this->Ls);
ueem.resize(this->Ls);
for(int i=0;i<this->Ls;i++){
dee[i] = bee[i];
if ( i < this->Ls-1 ) {
lee[i] =-cee[i+1]/bee[i]; // sub-diag entry on the ith column
leem[i]=this->mass*cee[this->Ls-1]/bee[0];
for(int j=0;j<i;j++) leem[i]*= aee[j]/bee[j+1];
uee[i] =-aee[i]/bee[i]; // up-diag entry on the ith row
ueem[i]=this->mass;
for(int j=1;j<=i;j++) ueem[i]*= cee[j]/bee[j];
ueem[i]*= aee[0]/bee[0];
} else {
lee[i] =0.0;
leem[i]=0.0;
uee[i] =0.0;
ueem[i]=0.0;
}
}
{
double delta_d=mass*cee[this->Ls-1];
for(int j=0;j<this->Ls-1;j++) delta_d *= cee[j]/bee[j];
dee[this->Ls-1] += delta_d;
}
}
};

46
lib/qcd/action/fermion/MobiusFermion.h Normal file
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@ -0,0 +1,46 @@
#ifndef GRID_QCD_MOBIUS_FERMION_H
#define GRID_QCD_MOBIUS_FERMION_H
#include <Grid.h>
namespace Grid {
namespace QCD {
class MobiusFermion : public CayleyFermion5D
{
public:
// Constructors
MobiusFermion(LatticeGaugeField &_Umu,
GridCartesian &FiveDimGrid,
GridRedBlackCartesian &FiveDimRedBlackGrid,
GridCartesian &FourDimGrid,
GridRedBlackCartesian &FourDimRedBlackGrid,
RealD _mass,RealD _M5,
RealD b, RealD c) :
CayleyFermion5D(_Umu,
FiveDimGrid,
FiveDimRedBlackGrid,
FourDimGrid,
FourDimRedBlackGrid,_mass,_M5)
{
RealD eps = 1.0;
std::cout << "MobiusFermion (b="<<b<<",c="<<c<<") with Ls= "<<Ls<<" Tanh approx"<<std::endl;
Approx::zolotarev_data *zdata = Approx::grid_higham(eps,this->Ls);// eps is ignored for higham
assert(zdata->n==this->Ls);
// Call base setter
this->CayleyFermion5D::SetCoefficients(1.0,zdata,b,c);
}
};
}
}
#endif

48
lib/qcd/action/fermion/MobiusZolotarevFermion.h Normal file
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@ -0,0 +1,48 @@
#ifndef GRID_QCD_MOBIUS_ZOLOTAREV_FERMION_H
#define GRID_QCD_MOBIUS_ZOLOTAREV_FERMION_H
#include <Grid.h>
namespace Grid {
namespace QCD {
class MobiusZolotarevFermion : public CayleyFermion5D
{
public:
// Constructors
MobiusZolotarevFermion(LatticeGaugeField &_Umu,
GridCartesian &FiveDimGrid,
GridRedBlackCartesian &FiveDimRedBlackGrid,
GridCartesian &FourDimGrid,
GridRedBlackCartesian &FourDimRedBlackGrid,
RealD _mass,RealD _M5,
RealD b, RealD c,
RealD lo, RealD hi) :
CayleyFermion5D(_Umu,
FiveDimGrid,
FiveDimRedBlackGrid,
FourDimGrid,
FourDimRedBlackGrid,_mass,_M5)
{
RealD eps = lo/hi;
Approx::zolotarev_data *zdata = Approx::grid_zolotarev(eps,this->Ls,0);// eps is ignored for higham
assert(zdata->n==this->Ls);
std::cout << "MobiusZolotarevFermion (b="<<b<<",c="<<c<<") with Ls= "<<Ls<<" Zolotarev range ["<<lo<<","<<hi<<"]"<<std::endl;
// Call base setter
this->CayleyFermion5D::SetCoefficients(1.0,zdata,b,c);
}
};
}
}
#endif

51
lib/qcd/action/fermion/ScaledShamir.h Normal file
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@ -0,0 +1,51 @@
#ifndef GRID_QCD_DOMAIN_WALL_FERMION_H
#define GRID_QCD_DOMAIN_WALL_FERMION_H
#include <Grid.h>
namespace Grid {
namespace QCD {
class ScaledShamirFermion : public CayleyFermion5D
{
public:
// Constructors
ScaledShamirFermion(LatticeGaugeField &_Umu,
GridCartesian &FiveDimGrid,
GridRedBlackCartesian &FiveDimRedBlackGrid,
GridCartesian &FourDimGrid,
GridRedBlackCartesian &FourDimRedBlackGrid,
RealD _mass,RealD _M5, RealD scale) :
CayleyFermion5D(_Umu,
FiveDimGrid,
FiveDimRedBlackGrid,
FourDimGrid,
FourDimRedBlackGrid,_mass,_M5,
RealD b,
RealD c)
{
RealD eps = 1.0;
Approx::zolotarev_data *zdata = Approx::grid_higham(eps,this->Ls);// eps is ignored for higham
assert(zdata->n==this->Ls);
//b+c = scale;
//b-c = 1
//b = 0.5(scale+1);
//c = 0.5(scale-1);
// Call base setter
this->CayleyFermion5D::SetCoefficients(1.0,zdata,0.5*(scale+1.0),0.5*(scale-1.0));
}
};
}
}
#endif

12
lib/qcd/action/fermion/WilsonFermion5D.h
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@ -14,6 +14,18 @@ namespace Grid {
// i.e. even even contains fifth dim hopping term.
//
// [DIFFERS from original CPS red black implementation parity = (x+y+z+t+s)|2 ]
////////////////////////////
//ContFrac:
// Ls always odd. Rational poly deg is either Ls or Ls-1
//PartFrac
// Ls always odd. Rational poly deg is either Ls or Ls-1
//
//Cayley: Ls always even, Rational poly deg is Ls
//
// Just set nrational as Ls. Forget about Ls-1 cases.
//
// Require odd Ls for cont and part frac
////////////////////////////
////////////////////////////////////////////////////////////////////////////////
class WilsonFermion5D : public FermionOperator<LatticeFermion,LatticeGaugeField>
{

226
tests/Grid_any_evenodd.cc Normal file
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@ -0,0 +1,226 @@
#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
};
template<class What>
void TestWhat(What & Ddwf,
GridCartesian * FGrid, GridRedBlackCartesian * FrbGrid,
GridCartesian * UGrid, GridRedBlackCartesian * UrbGrid,
RealD mass, RealD M5,
GridParallelRNG *RNG4, GridParallelRNG *RNG5);
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;
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 RNG5(FGrid); RNG5.SeedFixedIntegers(seeds5);
GridParallelRNG RNG4(UGrid); RNG4.SeedFixedIntegers(seeds4);
LatticeGaugeField Umu(UGrid); random(RNG4,Umu);
std::vector<LatticeColourMatrix> U(4,UGrid);
RealD mass=0.1;
RealD M5 =1.8;
DomainWallFermion Ddwf(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5);
TestWhat<DomainWallFermion>(Ddwf,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
RealD b=1.5;// Scale factor b+c=2, b-c=1
RealD c=0.5;
MobiusFermion Dmob(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5,b,c);
TestWhat<MobiusFermion>(Dmob,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
MobiusZolotarevFermion Dzolo(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5,b,c,0.1,4.0);
TestWhat<MobiusZolotarevFermion>(Dzolo,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
Grid_finalize();
}
template<class What>
void TestWhat(What & Ddwf,
GridCartesian * FGrid, GridRedBlackCartesian * FrbGrid,
GridCartesian * UGrid, GridRedBlackCartesian * UrbGrid,
RealD mass, RealD M5,
GridParallelRNG *RNG4,
GridParallelRNG *RNG5)
{
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;
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<<"=========================================================="<<std::endl;
std::cout<<"= Testing that Meo + Moe + Moo + Mee = Munprec "<<std::endl;
std::cout<<"=========================================================="<<std::endl;
pickCheckerboard(Even,src_e,src);
pickCheckerboard(Odd,src_o,src);
Ddwf.Meooe(src_e,r_o); std::cout<<"Applied Meo"<<std::endl;
Ddwf.Meooe(src_o,r_e); std::cout<<"Applied Moe"<<std::endl;
setCheckerboard(r_eo,r_o);
setCheckerboard(r_eo,r_e);
Ddwf.Mooee(src_e,r_e); std::cout<<"Applied Mee"<<std::endl;
Ddwf.Mooee(src_o,r_o); std::cout<<"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 << r_eo<<std::endl;
// std::cout << ref <<std::endl;
err= ref - r_eo;
std::cout << "EO norm diff "<< norm2(err)<< " "<<norm2(ref)<< " " << norm2(r_eo) <<std::endl;
LatticeComplex cerr(FGrid);
cerr = localInnerProduct(err,err);
// std::cout << cerr<<std::endl;
std::cout<<"=============================================================="<<std::endl;
std::cout<<"= Test Ddagger is the dagger of D by requiring "<<std::endl;
std::cout<<"= < phi | Deo | chi > * = < chi | Deo^dag| phi> "<<std::endl;
std::cout<<"=============================================================="<<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.Meooe(chi_e,dchi_o);
Ddwf.Meooe(chi_o,dchi_e);
Ddwf.MeooeDag(phi_e,dphi_o);
Ddwf.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 <<"e "<<pDce<<" "<<cDpe <<std::endl;
std::cout <<"o "<<pDco<<" "<<cDpo <<std::endl;
std::cout <<"pDce - conj(cDpo) "<< pDce-conj(cDpo) <<std::endl;
std::cout <<"pDco - conj(cDpe) "<< pDco-conj(cDpe) <<std::endl;
std::cout<<"=============================================================="<<std::endl;
std::cout<<"= Test MeeInv Mee = 1 "<<std::endl;
std::cout<<"=============================================================="<<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 << "norm diff "<< norm2(err)<< std::endl;
std::cout<<"=============================================================="<<std::endl;
std::cout<<"= Test MeeInvDag MeeDag = 1 "<<std::endl;
std::cout<<"=============================================================="<<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 << "norm diff "<< norm2(err)<< std::endl;
std::cout<<"=============================================================="<<std::endl;
std::cout<<"= Test MpcDagMpc is Hermitian "<<std::endl;
std::cout<<"=============================================================="<<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;
Ddwf.MpcDagMpc(chi_e,dchi_e,t1,t2);
Ddwf.MpcDagMpc(chi_o,dchi_o,t1,t2);
Ddwf.MpcDagMpc(phi_e,dphi_e,t1,t2);
Ddwf.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 <<"e "<<pDce<<" "<<cDpe <<std::endl;
std::cout <<"o "<<pDco<<" "<<cDpo <<std::endl;
std::cout <<"pDce - conj(cDpo) "<< pDco-conj(cDpo) <<std::endl;
std::cout <<"pDco - conj(cDpe) "<< pDce-conj(cDpe) <<std::endl;
}

12
tests/Makefile.am
View File

@ -22,13 +22,10 @@ bin_PROGRAMS = Grid_main \
Grid_dwf_even_odd\
Grid_dwf_cg_unprec\
Grid_dwf_cg_prec\
Grid_dwf_cg_schur
Grid_dwf_cg_schur\
Grid_any_evenodd
test:
for f in $bin_PROGRAMS
do
./$f > $f.log
done
Grid_main_SOURCES = Grid_main.cc
Grid_main_LDADD = -lGrid
@ -66,6 +63,9 @@ Grid_simd_LDADD = -lGrid
Grid_wilson_evenodd_SOURCES = Grid_wilson_evenodd.cc
Grid_wilson_evenodd_LDADD = -lGrid
Grid_any_evenodd_SOURCES = Grid_any_evenodd.cc
Grid_any_evenodd_LDADD = -lGrid
Grid_wilson_cg_unprec_SOURCES = Grid_wilson_cg_unprec.cc
Grid_wilson_cg_unprec_LDADD = -lGrid