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Even Odd two flavour ratio added and dH == small

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This commit is contained in:
Peter Boyle
2015-08-18 10:37:08 +01:00
parent 8621e2409f
commit 9306921ded
8 changed files with 356 additions and 121 deletions
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10
lib/qcd/action/Actions.h
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@ -150,8 +150,16 @@ typedef DomainWallFermion<GparityWilsonImplD> GparityDomainWallFermionD;
////////////////////////////////////////
// Pseudo fermion combinations for HMC
////////////////////////////////////////
#include <qcd/action/pseudofermion/EvenOddSchurDifferentiable.h>
#include <qcd/action/pseudofermion/TwoFlavour.h>
#include <qcd/action/pseudofermion/TwoFlavourEvenOdd.h>
#include <qcd/action/pseudofermion/TwoFlavourRatio.h>
#include <qcd/action/pseudofermion/TwoFlavourEvenOdd.h>
#include <qcd/action/pseudofermion/TwoFlavourEvenOddRatio.h>
//Todo: RHMC
//#include <qcd/action/pseudofermion/OneFlavour.h>
//#include <qcd/action/pseudofermion/OneFlavourRatio.h>
//#include <qcd/action/pseudofermion/OneFlavourEvenOdd.h>
//#include <qcd/action/pseudofermion/OneFlavourEvenOddRatio.h>
#endif

112
lib/qcd/action/pseudofermion/EvenOddSchurDifferentiable.h Normal file
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@ -0,0 +1,112 @@
#ifndef QCD_EVEN_ODD_SCHUR_DIFFERENTIABLE_H
#define QCD_EVEN_ODD_SCHUR_DIFFERENTIABLE_H
namespace Grid{
namespace QCD{
// Base even odd HMC on the normal Mee based schur decomposition.
//
// M = (Mee Meo) = (1 0 ) (Mee 0 ) (1 Mee^{-1} Meo)
// (Moe Moo) (Moe Mee^-1 1 ) (0 Moo-Moe Mee^-1 Meo) (0 1 )
//
// Determinant is det of middle factor
// This assumes Mee is indept of U.
//
template<class Impl>
class SchurDifferentiableOperator : public SchurDiagMooeeOperator<FermionOperator<Impl>,typename Impl::FermionField>
{
public:
INHERIT_IMPL_TYPES(Impl);
typedef FermionOperator<Impl> Matrix;
SchurDifferentiableOperator (Matrix &Mat) : SchurDiagMooeeOperator<Matrix,FermionField>(Mat) {};
void MpcDeriv(GaugeField &Force,const FermionField &U,const FermionField &V) {
GridBase *fgrid = this->_Mat.FermionGrid();
GridBase *fcbgrid = this->_Mat.FermionRedBlackGrid();
GridBase *ugrid = this->_Mat.GaugeGrid();
GridBase *ucbgrid = this->_Mat.GaugeRedBlackGrid();
Real coeff = 1.0;
FermionField tmp1(fcbgrid);
FermionField tmp2(fcbgrid);
conformable(fcbgrid,U._grid);
conformable(fcbgrid,V._grid);
// Assert the checkerboard?? or code for either
assert(U.checkerboard==Odd);
assert(V.checkerboard==U.checkerboard);
GaugeField ForceO(ucbgrid);
GaugeField ForceE(ucbgrid);
// X^dag Der_oe MeeInv Meo Y
// Use Mooee as nontrivial but gauge field indept
this->_Mat.Meooe (V,tmp1); // odd->even -- implicit -0.5 factor to be applied
this->_Mat.MooeeInv(tmp1,tmp2); // even->even
this->_Mat.MoeDeriv(ForceO,U,tmp2,DaggerNo);
// Accumulate X^dag M_oe MeeInv Der_eo Y
this->_Mat.MeooeDag (U,tmp1); // even->odd -- implicit -0.5 factor to be applied
this->_Mat.MooeeInvDag(tmp1,tmp2); // even->even
this->_Mat.MeoDeriv(ForceE,tmp2,V,DaggerNo);
assert(ForceE.checkerboard==Even);
assert(ForceO.checkerboard==Odd);
setCheckerboard(Force,ForceE);
setCheckerboard(Force,ForceO);
Force=-Force;
}
void MpcDagDeriv(GaugeField &Force,const FermionField &U,const FermionField &V) {
GridBase *fgrid = this->_Mat.FermionGrid();
GridBase *fcbgrid = this->_Mat.FermionRedBlackGrid();
GridBase *ugrid = this->_Mat.GaugeGrid();
GridBase *ucbgrid = this->_Mat.GaugeRedBlackGrid();
Real coeff = 1.0;
FermionField tmp1(fcbgrid);
FermionField tmp2(fcbgrid);
conformable(fcbgrid,U._grid);
conformable(fcbgrid,V._grid);
// Assert the checkerboard?? or code for either
assert(V.checkerboard==Odd);
assert(V.checkerboard==V.checkerboard);
GaugeField ForceO(ucbgrid);
GaugeField ForceE(ucbgrid);
// X^dag Der_oe MeeInv Meo Y
// Use Mooee as nontrivial but gauge field indept
this->_Mat.MeooeDag (V,tmp1); // odd->even -- implicit -0.5 factor to be applied
this->_Mat.MooeeInvDag(tmp1,tmp2); // even->even
this->_Mat.MoeDeriv(ForceO,U,tmp2,DaggerYes);
// Accumulate X^dag M_oe MeeInv Der_eo Y
this->_Mat.Meooe (U,tmp1); // even->odd -- implicit -0.5 factor to be applied
this->_Mat.MooeeInv(tmp1,tmp2); // even->even
this->_Mat.MeoDeriv(ForceE,tmp2,V,DaggerYes);
assert(ForceE.checkerboard==Even);
assert(ForceO.checkerboard==Odd);
setCheckerboard(Force,ForceE);
setCheckerboard(Force,ForceO);
Force=-Force;
}
};
}
}
#endif

118
lib/qcd/action/pseudofermion/TwoFlavourEvenOdd.h
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@ -4,108 +4,6 @@
namespace Grid{
namespace QCD{
// Base even odd HMC on the normal Mee based schur decomposition.
//
// M = (Mee Meo) = (1 0 ) (Mee 0 ) (1 Mee^{-1} Meo)
// (Moe Moo) (Moe Mee^-1 1 ) (0 Moo-Moe Mee^-1 Meo) (0 1 )
//
// Determinant is det of middle factor
// This assumes Mee is indept of U.
//
template<class Impl>
class SchurDifferentiableOperator : public SchurDiagMooeeOperator<FermionOperator<Impl>,typename Impl::FermionField>
{
public:
INHERIT_IMPL_TYPES(Impl);
typedef FermionOperator<Impl> Matrix;
SchurDifferentiableOperator (Matrix &Mat) : SchurDiagMooeeOperator<Matrix,FermionField>(Mat) {};
void MpcDeriv(GaugeField &Force,const FermionField &U,const FermionField &V) {
GridBase *fgrid = this->_Mat.FermionGrid();
GridBase *fcbgrid = this->_Mat.FermionRedBlackGrid();
GridBase *ugrid = this->_Mat.GaugeGrid();
GridBase *ucbgrid = this->_Mat.GaugeRedBlackGrid();
Real coeff = 1.0;
FermionField tmp1(fcbgrid);
FermionField tmp2(fcbgrid);
conformable(fcbgrid,U._grid);
conformable(fcbgrid,V._grid);
// Assert the checkerboard?? or code for either
assert(U.checkerboard==Odd);
assert(V.checkerboard==U.checkerboard);
GaugeField ForceO(ucbgrid);
GaugeField ForceE(ucbgrid);
// X^dag Der_oe MeeInv Meo Y
// Use Mooee as nontrivial but gauge field indept
this->_Mat.Meooe (V,tmp1); // odd->even -- implicit -0.5 factor to be applied
this->_Mat.MooeeInv(tmp1,tmp2); // even->even
this->_Mat.MoeDeriv(ForceO,U,tmp2,DaggerNo);
// Accumulate X^dag M_oe MeeInv Der_eo Y
this->_Mat.MeooeDag (U,tmp1); // even->odd -- implicit -0.5 factor to be applied
this->_Mat.MooeeInvDag(tmp1,tmp2); // even->even
this->_Mat.MeoDeriv(ForceE,tmp2,V,DaggerNo);
assert(ForceE.checkerboard==Even);
assert(ForceO.checkerboard==Odd);
setCheckerboard(Force,ForceE);
setCheckerboard(Force,ForceO);
Force=-Force;
}
void MpcDagDeriv(GaugeField &Force,const FermionField &U,const FermionField &V) {
GridBase *fgrid = this->_Mat.FermionGrid();
GridBase *fcbgrid = this->_Mat.FermionRedBlackGrid();
GridBase *ugrid = this->_Mat.GaugeGrid();
GridBase *ucbgrid = this->_Mat.GaugeRedBlackGrid();
Real coeff = 1.0;
FermionField tmp1(fcbgrid);
FermionField tmp2(fcbgrid);
conformable(fcbgrid,U._grid);
conformable(fcbgrid,V._grid);
// Assert the checkerboard?? or code for either
assert(V.checkerboard==Odd);
assert(V.checkerboard==V.checkerboard);
GaugeField ForceO(ucbgrid);
GaugeField ForceE(ucbgrid);
// X^dag Der_oe MeeInv Meo Y
// Use Mooee as nontrivial but gauge field indept
this->_Mat.MeooeDag (V,tmp1); // odd->even -- implicit -0.5 factor to be applied
this->_Mat.MooeeInvDag(tmp1,tmp2); // even->even
this->_Mat.MoeDeriv(ForceO,U,tmp2,DaggerYes);
// Accumulate X^dag M_oe MeeInv Der_eo Y
this->_Mat.Meooe (U,tmp1); // even->odd -- implicit -0.5 factor to be applied
this->_Mat.MooeeInv(tmp1,tmp2); // even->even
this->_Mat.MeoDeriv(ForceE,tmp2,V,DaggerYes);
assert(ForceE.checkerboard==Even);
assert(ForceO.checkerboard==Odd);
setCheckerboard(Force,ForceE);
setCheckerboard(Force,ForceO);
Force=-Force;
}
};
////////////////////////////////////////////////////////////////////////
@ -123,7 +21,6 @@ namespace Grid{
FermionOperator<Impl> & FermOp;// the basic operator
OperatorFunction<FermionField> &DerivativeSolver;
OperatorFunction<FermionField> &ActionSolver;
FermionField PhiOdd; // the pseudo fermion field for this trajectory
@ -154,6 +51,7 @@ namespace Grid{
// P(eta) = e^{- eta^dag eta}
//
// e^{x^2/2 sig^2} => sig^2 = 0.5.
RealD scale = std::sqrt(0.5);
FermionField eta (FermOp.FermionGrid());
@ -169,6 +67,7 @@ namespace Grid{
FermOp.ImportGauge(U);
PCop.MpcDag(etaOdd,PhiOdd);
FermOp.MooeeDag(etaEven,PhiEven);
PhiOdd =PhiOdd*scale;
@ -219,17 +118,16 @@ namespace Grid{
FermionField Y(FermOp.FermionRedBlackGrid());
GaugeField tmp(FermOp.GaugeGrid());
SchurDifferentiableOperator<Impl> PCop(FermOp);
X=zero;
DerivativeSolver(PCop,PhiOdd,X);
PCop.Op(X,Y);
SchurDifferentiableOperator<Impl> Mpc(FermOp);
// Our conventions really make this UdSdU; We do not differentiate wrt Udag here.
// So must take dSdU - adj(dSdU) and left multiply by mom to get dS/dt.
PCop.MpcDeriv(tmp , Y, X ); dSdU=tmp;
PCop.MpcDagDeriv(tmp , X, Y); dSdU=dSdU+tmp;
X=zero;
DerivativeSolver(Mpc,PhiOdd,X);
Mpc.Mpc(X,Y);
Mpc.MpcDeriv(tmp , Y, X ); dSdU=tmp;
Mpc.MpcDagDeriv(tmp , X, Y); dSdU=dSdU+tmp;
// Treat the EE case. (MdagM)^-1 = Minv Minvdag
// Deriv defaults to zero.

163
lib/qcd/action/pseudofermion/TwoFlavourEvenOddRatio.h Normal file
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@ -0,0 +1,163 @@
#ifndef QCD_PSEUDOFERMION_TWO_FLAVOUR_EVEN_ODD_RATIO_H
#define QCD_PSEUDOFERMION_TWO_FLAVOUR_EVEN_ODD_RATIO_H
namespace Grid{
namespace QCD{
///////////////////////////////////////
// Two flavour ratio
///////////////////////////////////////
template<class Impl>
class TwoFlavourEvenOddRatioPseudoFermionAction : public Action<typename Impl::GaugeField> {
public:
INHERIT_IMPL_TYPES(Impl);
private:
FermionOperator<Impl> & NumOp;// the basic operator
FermionOperator<Impl> & DenOp;// the basic operator
OperatorFunction<FermionField> &DerivativeSolver;
OperatorFunction<FermionField> &ActionSolver;
FermionField PhiOdd; // the pseudo fermion field for this trajectory
FermionField PhiEven; // the pseudo fermion field for this trajectory
public:
TwoFlavourEvenOddRatioPseudoFermionAction(FermionOperator<Impl> &_NumOp,
FermionOperator<Impl> &_DenOp,
OperatorFunction<FermionField> & DS,
OperatorFunction<FermionField> & AS) :
NumOp(_NumOp),
DenOp(_DenOp),
DerivativeSolver(DS),
ActionSolver(AS),
PhiEven(_NumOp.FermionRedBlackGrid()),
PhiOdd(_NumOp.FermionRedBlackGrid())
{
conformable(_NumOp.FermionGrid(), _DenOp.FermionGrid());
conformable(_NumOp.FermionRedBlackGrid(), _DenOp.FermionRedBlackGrid());
conformable(_NumOp.GaugeGrid(), _DenOp.GaugeGrid());
conformable(_NumOp.GaugeRedBlackGrid(), _DenOp.GaugeRedBlackGrid());
};
virtual void init(const GaugeField &U, GridParallelRNG& pRNG) {
// P(phi) = e^{- phi^dag Vpc (MpcdagMpc)^-1 Vpcdag phi}
//
// NumOp == V
// DenOp == M
//
// Take phi_o = Vpcdag^{-1} Mpcdag eta_o ; eta_o = Mpcdag^{-1} Vpcdag Phi
//
// P(eta_o) = e^{- eta_o^dag eta_o}
//
// e^{x^2/2 sig^2} => sig^2 = 0.5.
//
RealD scale = std::sqrt(0.5);
FermionField eta (NumOp.FermionGrid());
FermionField etaOdd (NumOp.FermionRedBlackGrid());
FermionField etaEven(NumOp.FermionRedBlackGrid());
FermionField tmp (NumOp.FermionRedBlackGrid());
gaussian(pRNG,eta);
pickCheckerboard(Even,etaEven,eta);
pickCheckerboard(Odd,etaOdd,eta);
NumOp.ImportGauge(U);
DenOp.ImportGauge(U);
SchurDifferentiableOperator<Impl> Mpc(DenOp);
SchurDifferentiableOperator<Impl> Vpc(NumOp);
// Odd det factors
Mpc.MpcDag(etaOdd,PhiOdd);
ActionSolver(Vpc,PhiOdd,tmp);
Vpc.Mpc(tmp,PhiOdd);
// Even det factors
DenOp.MooeeDag(etaEven,tmp);
NumOp.MooeeInvDag(tmp,PhiEven);
PhiOdd =PhiOdd*scale;
PhiEven=PhiEven*scale;
};
//////////////////////////////////////////////////////
// S = phi^dag V (Mdag M)^-1 Vdag phi
//////////////////////////////////////////////////////
virtual RealD S(const GaugeField &U) {
NumOp.ImportGauge(U);
DenOp.ImportGauge(U);
SchurDifferentiableOperator<Impl> Mpc(DenOp);
SchurDifferentiableOperator<Impl> Vpc(NumOp);
FermionField X(NumOp.FermionRedBlackGrid());
FermionField Y(NumOp.FermionRedBlackGrid());
X=zero;
Vpc.MpcDag(PhiOdd,Y); // Y= Vdag phi
ActionSolver(Mpc,Y,X); // X= (MdagM)^-1 Vdag phi
Mpc.Mpc(X,Y); // Y= Mdag^-1 Vdag phi
RealD action = norm2(Y);
// The EE factorised block; normally can replace with zero if det is constant (gauge field indept)
// Only really clover term that creates this. Leave the EE portion as a future to do to make most
// rapid progresss on DWF for now.
//
// Vpc.MooeeDag(PhiEven,X);
// Mpc.MooeeInvDag(X,Y);
// action = action + norm2(Y);
return action;
};
//////////////////////////////////////////////////////
// dS/du = phi^dag dV (Mdag M)^-1 V^dag phi
// - phi^dag V (Mdag M)^-1 [ Mdag dM + dMdag M ] (Mdag M)^-1 V^dag phi
// + phi^dag V (Mdag M)^-1 dV^dag phi
//////////////////////////////////////////////////////
virtual void deriv(const GaugeField &U,GaugeField & dSdU) {
NumOp.ImportGauge(U);
DenOp.ImportGauge(U);
SchurDifferentiableOperator<Impl> Mpc(DenOp);
SchurDifferentiableOperator<Impl> Vpc(NumOp);
FermionField X(NumOp.FermionRedBlackGrid());
FermionField Y(NumOp.FermionRedBlackGrid());
GaugeField force(NumOp.GaugeGrid());
X=zero;
//Y=Vdag phi
//X = (Mdag M)^-1 V^dag phi
//Y = (Mdag)^-1 V^dag phi
Vpc.MpcDag(PhiOdd,Y); // Y= Vdag phi
DerivativeSolver(Mpc,Y,X); // X= (MdagM)^-1 Vdag phi
Mpc.Mpc(X,Y); // Y= Mdag^-1 Vdag phi
// phi^dag V (Mdag M)^-1 dV^dag phi
Vpc.MpcDagDeriv(force , X, PhiOdd ); dSdU=force;
// phi^dag dV (Mdag M)^-1 V^dag phi
Vpc.MpcDeriv(force , PhiOdd, X ); dSdU=dSdU+force;
// - phi^dag V (Mdag M)^-1 Mdag dM (Mdag M)^-1 V^dag phi
// - phi^dag V (Mdag M)^-1 dMdag M (Mdag M)^-1 V^dag phi
Mpc.MpcDeriv(force,Y,X); dSdU=dSdU-force;
Mpc.MpcDagDeriv(force,X,Y); dSdU=dSdU-force;
dSdU = -Ta(dSdU);
};
};
}
}
#endif

10
lib/qcd/action/pseudofermion/TwoFlavourRatio.h
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@ -1,10 +1,5 @@
<<<<<<< HEAD
#ifndef QCD_PSEUDOFERMION_TWO_FLAVOUR_RATIO_H
#define QCD_PSEUDOFERMION_TWO_FLAVOUR_RATIO_H
=======
#ifndef QCD_PSEUDOFERMION_TWO_FLAVOUR_H
#define QCD_PSEUDOFERMION_TWO_FLAVOUR_H
>>>>>>> ef6a9e6b07b80aea909c0a62f223fa3e66f53b3a
namespace Grid{
namespace QCD{
@ -107,7 +102,6 @@ namespace Grid{
FermionField X(NumOp.FermionGrid());
FermionField Y(NumOp.FermionGrid());
FermionField f1(NumOp.FermionGrid());
GaugeField force(NumOp.GaugeGrid());
@ -130,8 +124,8 @@ namespace Grid{
// - phi^dag V (Mdag M)^-1 dMdag M (Mdag M)^-1 V^dag phi
DenOp.MDeriv(force,Y,X,DaggerNo); dSdU=dSdU-force;
DenOp.MDeriv(force,X,Y,DaggerYes); dSdU=dSdU-force;
dSdU = - dSdU;
dSdU = Ta(dSdU);
dSdU = - Ta(dSdU);
};
};