1
0
mirror of https://github.com/paboyle/Grid.git synced 2024-12-23 19:35:26 +00:00

First pass at continued fraction; solver and even odd decomposition tests pass.

Have to make ContFrac class virtual and derive end non-abstract actions for the particular
cases.
This commit is contained in:
Peter Boyle 2015-06-04 00:00:45 +01:00
parent f07a17ba2c
commit 03f4fde468
15 changed files with 490 additions and 48 deletions

View File

@ -229,7 +229,14 @@ namespace QCD {
}
}
void CayleyFermion5D::SetCoefficients(RealD scale,Approx::zolotarev_data *zdata,RealD b,RealD c)
// Tanh
void CayleyFermion5D::SetCoefficientsTanh(Approx::zolotarev_data *zdata,RealD b,RealD c)
{
SetCoefficientsZolotarev(1.0,zdata,b,c);
}
//Zolo
void CayleyFermion5D::SetCoefficientsZolotarev(RealD zolo_hi,Approx::zolotarev_data *zdata,RealD b,RealD c)
{
///////////////////////////////////////////////////////////
@ -266,7 +273,7 @@ namespace QCD {
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
omega[i] = ((double)zdata->gamma[i])*zolo_hi; //NB reciprocal relative to Chroma NEF code
bs[i] = 0.5*(bpc/omega[i] + bmc);
cs[i] = 0.5*(bpc/omega[i] - bmc);
}

View File

@ -20,7 +20,7 @@ namespace Grid {
virtual void MooeeDag (const LatticeFermion &in, LatticeFermion &out);
virtual void MooeeInv (const LatticeFermion &in, LatticeFermion &out);
virtual void MooeeInvDag (const LatticeFermion &in, LatticeFermion &out);
virtual void Instantiatable(void)=0;
// protected:
RealD mass;
@ -52,7 +52,8 @@ namespace Grid {
RealD _mass,RealD _M5);
protected:
void SetCoefficients(RealD scale,Approx::zolotarev_data *zdata,RealD b,RealD c);
void SetCoefficientsZolotarev(RealD zolohi,Approx::zolotarev_data *zdata,RealD b,RealD c);
void SetCoefficientsTanh(Approx::zolotarev_data *zdata,RealD b,RealD c);
};
}

View File

@ -1,9 +1,56 @@
#include <Grid.h>
namespace Grid {
namespace QCD {
void ContinuedFractionFermion5D::SetCoefficientsTanh(Approx::zolotarev_data *zdata,RealD b,RealD c)
{
SetCoefficientsZolotarev(1.0,zdata,b,c);
}
void ContinuedFractionFermion5D::SetCoefficientsZolotarev(RealD zolo_hi,Approx::zolotarev_data *zdata,RealD b,RealD c)
{
R=(1+this->mass)/(1-this->mass);
Beta.resize(Ls);
cc.resize(Ls);
cc_d.resize(Ls);
sqrt_cc.resize(Ls);
for(int i=0; i < Ls ; i++){
Beta[i] = zdata -> beta[i];
cc[i] = 1.0/Beta[i];
cc_d[i]=sqrt(cc[i]);
}
cc_d[Ls-1]=1.0;
for(int i=0; i < Ls-1 ; i++){
sqrt_cc[i]= sqrt(cc[i]*cc[i+1]);
}
sqrt_cc[Ls-2]=sqrt(cc[Ls-2]);
ZoloHiInv =1.0/zolo_hi;
double dw_diag = (4.0-M5)*ZoloHiInv;
See.resize(Ls);
Aee.resize(Ls);
int sign=1;
for(int s=0;s<Ls;s++){
Aee[s] = sign * Beta[s] * dw_diag;
sign = - sign;
}
Aee[Ls-1] += R;
See[0] = Aee[0];
for(int s=1;s<Ls;s++){
See[s] = Aee[s] - 1.0/See[s-1];
}
for(int s=0;s<Ls;s++){
std::cout <<"s = "<<s<<" Beta "<<Beta[s]<<" Aee "<<Aee[s] <<" See "<<See[s] <<std::endl;
}
}
RealD ContinuedFractionFermion5D::M (const LatticeFermion &psi, LatticeFermion &chi)
{
LatticeFermion D(psi._grid);
@ -13,13 +60,13 @@ namespace Grid {
int sign=1;
for(int s=0;s<Ls;s++){
if ( s==0 ) {
ag5xpby_ssp(chi,cc[0]*Beta[0]*sign*scale,D,sqrt_cc[0],psi,s,s+1); // Multiplies Dw by G5 so Hw
ag5xpby_ssp(chi,cc[0]*Beta[0]*sign*ZoloHiInv,D,sqrt_cc[0],psi,s,s+1); // Multiplies Dw by G5 so Hw
} else if ( s==(Ls-1) ){
RealD R=(1.0+mass)/(1.0-mass);
ag5xpby_ssp(chi,Beta[s]*scale,D,sqrt_cc[s-1],psi,s,s-1);
ag5xpby_ssp(chi,Beta[s]*ZoloHiInv,D,sqrt_cc[s-1],psi,s,s-1);
ag5xpby_ssp(chi,R,psi,1.0,chi,s,s);
} else {
ag5xpby_ssp(chi,cc[s]*Beta[s]*sign*scale,D,sqrt_cc[s],psi,s,s+1);
ag5xpby_ssp(chi,cc[s]*Beta[s]*sign*ZoloHiInv,D,sqrt_cc[s],psi,s,s+1);
axpby_ssp(chi,1.0,chi,sqrt_cc[s-1],psi,s,s-1);
}
sign=-sign;
@ -35,18 +82,22 @@ namespace Grid {
}
void ContinuedFractionFermion5D::Meooe (const LatticeFermion &psi, LatticeFermion &chi)
{
Dhop(psi,chi,DaggerNo); // Dslash on diagonal. g5 Dslash is hermitian
// Apply 4d dslash
if ( psi.checkerboard == Odd ) {
DhopEO(psi,chi,DaggerNo); // Dslash on diagonal. g5 Dslash is hermitian
} else {
DhopOE(psi,chi,DaggerNo); // Dslash on diagonal. g5 Dslash is hermitian
}
int sign=1;
for(int s=0;s<Ls;s++){
if ( s==(Ls-1) ){
ag5xpby_ssp(chi,Beta[s]*scale,chi,0.0,chi,s,s);
ag5xpby_ssp(chi,Beta[s]*ZoloHiInv,chi,0.0,chi,s,s);
} else {
ag5xpby_ssp(chi,cc[s]*Beta[s]*sign*scale,chi,0.0,chi,s,s);
ag5xpby_ssp(chi,cc[s]*Beta[s]*sign*ZoloHiInv,chi,0.0,chi,s,s);
}
sign=-sign;
}
}
}
void ContinuedFractionFermion5D::MeooeDag (const LatticeFermion &psi, LatticeFermion &chi)
{
@ -54,7 +105,7 @@ namespace Grid {
}
void ContinuedFractionFermion5D::Mooee (const LatticeFermion &psi, LatticeFermion &chi)
{
double dw_diag = (4.0-this->M5)*scale;
double dw_diag = (4.0-M5)*ZoloHiInv;
int sign=1;
for(int s=0;s<Ls;s++){
@ -62,7 +113,7 @@ namespace Grid {
ag5xpby_ssp(chi,cc[0]*Beta[0]*sign*dw_diag,psi,sqrt_cc[0],psi,s,s+1); // Multiplies Dw by G5 so Hw
} else if ( s==(Ls-1) ){
// Drop the CC here.
double R=(1+this->mass)/(1-this->mass);
double R=(1+mass)/(1-mass);
ag5xpby_ssp(chi,Beta[s]*dw_diag,psi,sqrt_cc[s-1],psi,s,s-1);
ag5xpby_ssp(chi,R,psi,1.0,chi,s,s);
} else {
@ -80,7 +131,7 @@ namespace Grid {
void ContinuedFractionFermion5D::MooeeInv (const LatticeFermion &psi, LatticeFermion &chi)
{
// Apply Linv
axpby_ssp(chi,1.0/cc_d[0],psi,0.0,psi,0,0);
axpby_ssp(chi,1.0/cc_d[0],psi,0.0,psi,0,0);
for(int s=1;s<Ls;s++){
axpbg5y_ssp(chi,1.0/cc_d[s],psi,-1.0/See[s-1],chi,s,s-1);
}
@ -89,7 +140,7 @@ namespace Grid {
ag5xpby_ssp(chi,1.0/See[s],chi,0.0,chi,s,s); //only appearance of See[0]
}
// Apply Uinv = (Linv)^T
axpby_ssp(chi,1.0/cc_d[Ls-1],chi,0.0,chi,this->Ls-1,this->Ls-1);
axpby_ssp(chi,1.0/cc_d[Ls-1],chi,0.0,chi,Ls-1,Ls-1);
for(int s=Ls-2;s>=0;s--){
axpbg5y_ssp(chi,1.0/cc_d[s],chi,-1.0*cc_d[s+1]/See[s]/cc_d[s],chi,s,s+1);
}
@ -112,6 +163,10 @@ namespace Grid {
FourDimGrid, FourDimRedBlackGrid,M5),
mass(_mass)
{
assert((Ls&0x1)==1); // Odd Ls required
int nrational=Ls-1;// Even rational order
zdata = Approx::grid_higham(1.0,nrational);// eps is ignored for higham
SetCoefficientsTanh(zdata,1.0,0.0);
}
}

View File

@ -21,20 +21,8 @@ namespace Grid {
virtual void MooeeInv (const LatticeFermion &in, LatticeFermion &out);
virtual void MooeeInvDag (const LatticeFermion &in, LatticeFermion &out);
private:
Approx::zolotarev_data *zdata;
// Cont frac
RealD mass;
RealD R;
RealD scale;
std::vector<double> Beta;
std::vector<double> cc;;
std::vector<double> cc_d;;
std::vector<double> sqrt_cc;
std::vector<double> See;
std::vector<double> Aee;
// virtual void Instantiatable(void)=0;
virtual void Instantiatable(void) {};
// Constructors
ContinuedFractionFermion5D(LatticeGaugeField &_Umu,
@ -44,6 +32,24 @@ namespace Grid {
GridRedBlackCartesian &FourDimRedBlackGrid,
RealD _mass,RealD M5);
protected:
void SetCoefficientsTanh(Approx::zolotarev_data *zdata,RealD b,RealD c);
void SetCoefficientsZolotarev(RealD zolo_hi,Approx::zolotarev_data *zdata,RealD b,RealD c);
Approx::zolotarev_data *zdata;
// Cont frac
RealD mass;
RealD R;
RealD ZoloHiInv;
std::vector<double> Beta;
std::vector<double> cc;;
std::vector<double> cc_d;;
std::vector<double> sqrt_cc;
std::vector<double> See;
std::vector<double> Aee;
};

View File

@ -11,6 +11,7 @@ namespace Grid {
{
public:
virtual void Instantiatable(void) {};
// Constructors
DomainWallFermion(LatticeGaugeField &_Umu,
GridCartesian &FiveDimGrid,
@ -33,7 +34,7 @@ namespace Grid {
std::cout << "DomainWallFermion with Ls="<<Ls<<std::endl;
// Call base setter
this->CayleyFermion5D::SetCoefficients(1.0,zdata,1.0,0.0);
this->CayleyFermion5D::SetCoefficientsTanh(zdata,1.0,0.0);
}

View File

@ -11,6 +11,7 @@ namespace Grid {
{
public:
virtual void Instantiatable(void) {};
// Constructors
MobiusFermion(LatticeGaugeField &_Umu,
GridCartesian &FiveDimGrid,
@ -34,7 +35,7 @@ namespace Grid {
assert(zdata->n==this->Ls);
// Call base setter
this->CayleyFermion5D::SetCoefficients(1.0,zdata,b,c);
this->CayleyFermion5D::SetCoefficientsTanh(zdata,b,c);
}

View File

@ -11,6 +11,7 @@ namespace Grid {
{
public:
virtual void Instantiatable(void) {};
// Constructors
MobiusZolotarevFermion(LatticeGaugeField &_Umu,
GridCartesian &FiveDimGrid,
@ -34,10 +35,9 @@ namespace Grid {
assert(zdata->n==this->Ls);
std::cout << "MobiusZolotarevFermion (b="<<b<<",c="<<c<<") with Ls= "<<Ls<<" Zolotarev range ["<<lo<<","<<hi<<"]"<<std::endl;
std::cout << "MobiusZolotarevFermion : note there is a degeneracy between (b+c) and Zolo param hi"<<std::endl;
// Call base setter
this->CayleyFermion5D::SetCoefficients(1.0,zdata,b,c);
this->CayleyFermion5D::SetCoefficientsZolotarev(hi,zdata,b,c);
}

View File

View File

@ -1,5 +1,21 @@
bin_PROGRAMS = Test_cshift Test_cshift_red_black Test_dwf_cg_prec Test_dwf_cg_schur Test_dwf_cg_unprec Test_dwf_even_odd Test_gamma Test_main Test_many_cg Test_many_evenodd Test_nersc_io Test_remez Test_rng Test_rng_fixed Test_simd Test_stencil Test_wilson_cg_prec Test_wilson_cg_schur Test_wilson_cg_unprec Test_wilson_evenodd
bin_PROGRAMS = Test_cayley_cg Test_cayley_even_odd Test_contfrac_cg Test_contfrac_even_odd Test_cshift Test_cshift_red_black Test_dwf_cg_prec Test_dwf_cg_schur Test_dwf_cg_unprec Test_dwf_even_odd Test_gamma Test_main Test_nersc_io Test_remez Test_rng Test_rng_fixed Test_simd Test_stencil Test_wilson_cg_prec Test_wilson_cg_schur Test_wilson_cg_unprec Test_wilson_even_odd
Test_cayley_cg_SOURCES=Test_cayley_cg.cc
Test_cayley_cg_LDADD=-lGrid
Test_cayley_even_odd_SOURCES=Test_cayley_even_odd.cc
Test_cayley_even_odd_LDADD=-lGrid
Test_contfrac_cg_SOURCES=Test_contfrac_cg.cc
Test_contfrac_cg_LDADD=-lGrid
Test_contfrac_even_odd_SOURCES=Test_contfrac_even_odd.cc
Test_contfrac_even_odd_LDADD=-lGrid
Test_cshift_SOURCES=Test_cshift.cc
@ -34,14 +50,6 @@ Test_main_SOURCES=Test_main.cc
Test_main_LDADD=-lGrid
Test_many_cg_SOURCES=Test_many_cg.cc
Test_many_cg_LDADD=-lGrid
Test_many_evenodd_SOURCES=Test_many_evenodd.cc
Test_many_evenodd_LDADD=-lGrid
Test_nersc_io_SOURCES=Test_nersc_io.cc
Test_nersc_io_LDADD=-lGrid
@ -78,6 +86,6 @@ Test_wilson_cg_unprec_SOURCES=Test_wilson_cg_unprec.cc
Test_wilson_cg_unprec_LDADD=-lGrid
Test_wilson_evenodd_SOURCES=Test_wilson_evenodd.cc
Test_wilson_evenodd_LDADD=-lGrid
Test_wilson_even_odd_SOURCES=Test_wilson_even_odd.cc
Test_wilson_even_odd_LDADD=-lGrid

View File

@ -1,2 +0,0 @@
f(x) = 6.81384+(-2.34645e-06/(x+0.000228091))+(-1.51593e-05/(x+0.00112084))+(-6.89254e-05/(x+0.003496))+(-0.000288983/(x+0.00954309))+(-0.00119277/(x+0.024928))+(-0.0050183/(x+0.0646627))+(-0.0226449/(x+0.171576))+(-0.123767/(x+0.491792))+(-1.1705/(x+1.78667))+(-102.992/(x+18.4866));
f(x) = 0.14676+(0.00952992/(x+5.40933e-05))+(0.0115952/(x+0.000559699))+(0.0161824/(x+0.00203338))+(0.0243252/(x+0.00582831))+(0.0379533/(x+0.0154649))+(0.060699/(x+0.0401156))+(0.100345/(x+0.104788))+(0.178335/(x+0.286042))+(0.381586/(x+0.892189))+(1.42625/(x+4.38422));

147
tests/Test_contfrac_cg.cc Normal file
View File

@ -0,0 +1,147 @@
#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 TestCGinversions(What & Ddwf,
GridCartesian * FGrid, GridRedBlackCartesian * FrbGrid,
GridCartesian * UGrid, GridRedBlackCartesian * UrbGrid,
RealD mass, RealD M5,
GridParallelRNG *RNG4,
GridParallelRNG *RNG5);
template<class What>
void TestCGschur(What & Ddwf,
GridCartesian * FGrid, GridRedBlackCartesian * FrbGrid,
GridCartesian * UGrid, GridRedBlackCartesian * UrbGrid,
RealD mass, RealD M5,
GridParallelRNG *RNG4,
GridParallelRNG *RNG5);
template<class What>
void TestCGunprec(What & Ddwf,
GridCartesian * FGrid, GridRedBlackCartesian * FrbGrid,
GridCartesian * UGrid, GridRedBlackCartesian * UrbGrid,
RealD mass, RealD M5,
GridParallelRNG *RNG4,
GridParallelRNG *RNG5);
template<class What>
void TestCGprec(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=9;
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;
std::cout <<"ContinuedFractionFermion test"<<std::endl;
ContinuedFractionFermion5D Dcf(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5);
TestCGinversions<ContinuedFractionFermion5D>(Dcf,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,&RNG4,&RNG5);
Grid_finalize();
}
template<class What>
void TestCGinversions(What & Ddwf,
GridCartesian * FGrid, GridRedBlackCartesian * FrbGrid,
GridCartesian * UGrid, GridRedBlackCartesian * UrbGrid,
RealD mass, RealD M5,
GridParallelRNG *RNG4,
GridParallelRNG *RNG5)
{
std::cout << "Testing unpreconditioned inverter"<<std::endl;
TestCGunprec<What>(Ddwf,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,RNG4,RNG5);
std::cout << "Testing red black preconditioned inverter"<<std::endl;
TestCGprec<What>(Ddwf,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,RNG4,RNG5);
std::cout << "Testing red black Schur inverter"<<std::endl;
TestCGschur<What>(Ddwf,FGrid,FrbGrid,UGrid,UrbGrid,mass,M5,RNG4,RNG5);
}
template<class What>
void TestCGunprec(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 result(FGrid); result=zero;
HermitianOperator<What,LatticeFermion> HermOp(Ddwf);
ConjugateGradient<LatticeFermion> CG(1.0e-8,10000);
CG(HermOp,src,result);
}
template<class What>
void TestCGprec(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 src_o(FrbGrid);
LatticeFermion result_o(FrbGrid);
pickCheckerboard(Odd,src_o,src);
result_o=zero;
HermitianCheckerBoardedOperator<What,LatticeFermion> HermOpEO(Ddwf);
ConjugateGradient<LatticeFermion> CG(1.0e-8,10000);
CG(HermOpEO,src_o,result_o);
}
template<class What>
void TestCGschur(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 result(FGrid); result=zero;
ConjugateGradient<LatticeFermion> CG(1.0e-8,10000);
SchurRedBlackSolve<LatticeFermion> SchurSolver(CG);
SchurSolver(Ddwf,src,result);
}

View File

@ -0,0 +1,218 @@
#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=9;
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;
std::cout <<"ContinuedFractionFermion test"<<std::endl;
ContinuedFractionFermion5D Dcf(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5);
TestWhat<ContinuedFractionFermion5D>(Dcf,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 "<<norm2(r_o)<<std::endl;
Ddwf.Meooe(src_o,r_e); std::cout<<"Applied Moe "<<norm2(r_e)<<std::endl;
setCheckerboard(r_eo,r_o);
setCheckerboard(r_eo,r_e);
Ddwf.Mooee(src_e,r_e); std::cout<<"Applied Mee"<<norm2(r_e)<<std::endl;
Ddwf.Mooee(src_o,r_o); std::cout<<"Applied Moo"<<norm2(r_o)<<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;
}