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]Merge branch 'develop' into feature/hirep

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This commit is contained in:
Guido Cossu
2016-07-07 14:20:10 +01:00
parent ffedeb1c58 3c49ddfaa4
commit fbf96b1bbb
59 changed files with 12880 additions and 3046 deletions
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1
lib/qcd/QCD.h
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@ -495,5 +495,6 @@ namespace QCD {
#include <qcd/hmc/integrators/Integrator_algorithm.h>
#include <qcd/hmc/HMC.h>
#include <qcd/smearing/Smearing.h>
#endif

1
lib/qcd/action/ActionBase.h
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@ -35,6 +35,7 @@ template<class GaugeField>
class Action {
public:
bool is_smeared = false;
// Boundary conditions? // Heatbath?
virtual void refresh(const GaugeField &U, GridParallelRNG& pRNG) = 0;// refresh pseudofermions
virtual RealD S (const GaugeField &U) = 0; // evaluate the action

160
lib/qcd/action/fermion/FermionOperatorImpl.h
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@ -34,78 +34,75 @@ directory
namespace Grid {
namespace QCD {
namespace QCD {
//////////////////////////////////////////////
// Template parameter class constructs to package
// externally control Fermion implementations
// in orthogonal directions
//
// Ultimately need Impl to always define types where XXX is opaque
//
// typedef typename XXX Simd;
// typedef typename XXX GaugeLinkField;
// typedef typename XXX GaugeField;
// typedef typename XXX GaugeActField;
// typedef typename XXX FermionField;
// typedef typename XXX DoubledGaugeField;
// typedef typename XXX SiteSpinor;
// typedef typename XXX SiteHalfSpinor;
// typedef typename XXX Compressor;
//
// and Methods:
// void ImportGauge(GridBase *GaugeGrid,DoubledGaugeField &Uds,const
// GaugeField &Umu)
// void DoubleStore(GridBase *GaugeGrid,DoubledGaugeField &Uds,const
// GaugeField &Umu)
// void multLink(SiteHalfSpinor &phi,const SiteDoubledGaugeField &U,const
// SiteHalfSpinor &chi,int mu,StencilEntry *SE,StencilImpl &St)
// void InsertForce4D(GaugeField &mat,const FermionField &Btilde,const
// FermionField &A,int mu)
// void InsertForce5D(GaugeField &mat,const FermionField &Btilde,const
// FermionField &A,int mu)
//
//
// To acquire the typedefs from "Base" (either a base class or template param)
// use:
//
// INHERIT_GIMPL_TYPES(Base)
// INHERIT_FIMPL_TYPES(Base)
// INHERIT_IMPL_TYPES(Base)
//
// The Fermion operators will do the following:
//
// struct MyOpParams {
// RealD mass;
// };
//
//
// template<class Impl>
// class MyOp : pubic<Impl> {
// public:
//
// INHERIT_ALL_IMPL_TYPES(Impl);
//
// MyOp(MyOpParams Myparm, ImplParams &ImplParam) : Impl(ImplParam)
// {
//
// };
//
// }
//////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////
// Implementation dependent fermion types
////////////////////////////////////////////////////////////////////////
//////////////////////////////////////////////
// Template parameter class constructs to package
// externally control Fermion implementations
// in orthogonal directions
//
// Ultimately need Impl to always define types where XXX is opaque
//
// typedef typename XXX Simd;
// typedef typename XXX GaugeLinkField;
// typedef typename XXX GaugeField;
// typedef typename XXX GaugeActField;
// typedef typename XXX FermionField;
// typedef typename XXX DoubledGaugeField;
// typedef typename XXX SiteSpinor;
// typedef typename XXX SiteHalfSpinor;
// typedef typename XXX Compressor;
//
// and Methods:
// void ImportGauge(GridBase *GaugeGrid,DoubledGaugeField &Uds,const GaugeField &Umu)
// void DoubleStore(GridBase *GaugeGrid,DoubledGaugeField &Uds,const GaugeField &Umu)
// void multLink(SiteHalfSpinor &phi,const SiteDoubledGaugeField &U,const SiteHalfSpinor &chi,int mu,StencilEntry *SE,StencilImpl &St)
// void InsertForce4D(GaugeField &mat,const FermionField &Btilde,const FermionField &A,int mu)
// void InsertForce5D(GaugeField &mat,const FermionField &Btilde,const FermionField &A,int mu)
//
//
// To acquire the typedefs from "Base" (either a base class or template param) use:
//
// INHERIT_GIMPL_TYPES(Base)
// INHERIT_FIMPL_TYPES(Base)
// INHERIT_IMPL_TYPES(Base)
//
// The Fermion operators will do the following:
//
// struct MyOpParams {
// RealD mass;
// };
//
//
// template<class Impl>
// class MyOp : public<Impl> {
// public:
//
// INHERIT_ALL_IMPL_TYPES(Impl);
//
// MyOp(MyOpParams Myparm, ImplParams &ImplParam) : Impl(ImplParam)
// {
//
// };
//
// }
//////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////
// Implementation dependent fermion types
////////////////////////////////////////////////////////////////////////
#define INHERIT_FIMPL_TYPES(Impl)\
typedef typename Impl::FermionField FermionField; \
typedef typename Impl::DoubledGaugeField DoubledGaugeField; \
typedef typename Impl::SiteSpinor SiteSpinor; \
typedef typename Impl::SiteHalfSpinor SiteHalfSpinor; \
typedef typename Impl::Compressor Compressor; \
typedef typename Impl::StencilImpl StencilImpl; \
typedef typename Impl::ImplParams ImplParams;
#define INHERIT_FIMPL_TYPES(Impl) \
typedef typename Impl::FermionField FermionField; \
typedef typename Impl::DoubledGaugeField DoubledGaugeField; \
typedef typename Impl::SiteSpinor SiteSpinor; \
typedef typename Impl::SiteHalfSpinor SiteHalfSpinor; \
typedef typename Impl::Compressor Compressor; \
typedef typename Impl::StencilImpl StencilImpl; \
typedef typename Impl::ImplParams ImplParams;
#define INHERIT_IMPL_TYPES(Base) \
INHERIT_GIMPL_TYPES(Base) \
@ -148,17 +145,22 @@ class WilsonImpl
bool overlapCommsCompute(void) { return Params.overlapCommsCompute; };
inline void multLink(SiteHalfSpinor &phi, const SiteDoubledGaugeField &U,
const SiteHalfSpinor &chi, int mu, StencilEntry *SE,
inline void multLink(SiteHalfSpinor &phi,
const SiteDoubledGaugeField &U,
const SiteHalfSpinor &chi,
int mu,
StencilEntry *SE,
StencilImpl &St) {
mult(&phi(), &U(mu), &chi());
}
template <class ref>
inline void loadLinkElement(Simd &reg, ref &memory) {
inline void loadLinkElement(Simd &reg,
ref &memory) {
reg = memory;
}
inline void DoubleStore(GridBase *GaugeGrid, DoubledGaugeField &Uds,
inline void DoubleStore(GridBase *GaugeGrid,
DoubledGaugeField &Uds,
const GaugeField &Umu) {
conformable(Uds._grid, GaugeGrid);
conformable(Umu._grid, GaugeGrid);
@ -171,15 +173,19 @@ class WilsonImpl
}
}
inline void InsertForce4D(GaugeField &mat, FermionField &Btilde,
FermionField &A, int mu) {
inline void InsertForce4D(GaugeField &mat,
FermionField &Btilde,
FermionField &A,
int mu) {
GaugeLinkField link(mat._grid);
link = TraceIndex<SpinIndex>(outerProduct(Btilde, A));
PokeIndex<LorentzIndex>(mat, link, mu);
}
inline void InsertForce5D(GaugeField &mat, FermionField &Btilde,
FermionField &Atilde, int mu) {
inline void InsertForce5D(GaugeField &mat,
FermionField &Btilde,
FermionField &Atilde,
int mu) {
int Ls = Btilde._grid->_fdimensions[0];
GaugeLinkField tmp(mat._grid);

319
lib/qcd/action/gauge/GaugeImpl.h
View File

@ -1,181 +1,188 @@
/*************************************************************************************
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/qcd/action/gauge/GaugeImpl.h
Source file: ./lib/qcd/action/gauge/GaugeImpl.h
Copyright (C) 2015
Copyright (C) 2015
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 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.
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.
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 */
#ifndef GRID_QCD_GAUGE_IMPL_H
#define GRID_QCD_GAUGE_IMPL_H
See the full license in the file "LICENSE" in the top level distribution
directory
*************************************************************************************/
/* END LEGAL */
#ifndef GRID_QCD_GAUGE_IMPL_H
#define GRID_QCD_GAUGE_IMPL_H
namespace Grid {
namespace QCD {
namespace QCD {
////////////////////////////////////////////////////////////////////////
// Implementation dependent gauge types
////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////
// Implementation dependent gauge types
////////////////////////////////////////////////////////////////////////
template<class Gimpl> class WilsonLoops;
template <class Gimpl> class WilsonLoops;
#define INHERIT_GIMPL_TYPES(GImpl) \
typedef typename GImpl::Simd Simd;\
typedef typename GImpl::GaugeLinkField GaugeLinkField;\
typedef typename GImpl::GaugeField GaugeField;\
typedef typename GImpl::SiteGaugeField SiteGaugeField;\
typedef typename GImpl::SiteGaugeLink SiteGaugeLink;
#define INHERIT_GIMPL_TYPES(GImpl) \
typedef typename GImpl::Simd Simd; \
typedef typename GImpl::GaugeLinkField GaugeLinkField; \
typedef typename GImpl::GaugeField GaugeField; \
typedef typename GImpl::SiteGaugeField SiteGaugeField; \
typedef typename GImpl::SiteGaugeLink SiteGaugeLink;
//
template <class S, int Nrepresentation = Nc> class GaugeImplTypes {
public:
typedef S Simd;
//
template<class S,int Nrepresentation=Nc>
class GaugeImplTypes {
public:
typedef S Simd;
template<typename vtype> using iImplGaugeLink = iScalar<iScalar<iMatrix<vtype, Nrepresentation> > >;
template<typename vtype> using iImplGaugeField = iVector<iScalar<iMatrix<vtype, Nrepresentation> >, Nd >;
typedef iImplGaugeLink <Simd> SiteGaugeLink;
typedef iImplGaugeField <Simd> SiteGaugeField;
typedef Lattice<SiteGaugeLink> GaugeLinkField; // bit ugly naming; polarised gauge field, lorentz... all ugly
typedef Lattice<SiteGaugeField> GaugeField;
template <typename vtype>
using iImplGaugeLink = iScalar<iScalar<iMatrix<vtype, Nrepresentation>>>;
template <typename vtype>
using iImplGaugeField = iVector<iScalar<iMatrix<vtype, Nrepresentation>>, Nd>;
};
typedef iImplGaugeLink<Simd> SiteGaugeLink;
typedef iImplGaugeField<Simd> SiteGaugeField;
// Composition with smeared link, bc's etc.. probably need multiple inheritance
// Variable precision "S" and variable Nc
template<class GimplTypes>
class PeriodicGaugeImpl : public GimplTypes {
public:
typedef Lattice<SiteGaugeLink> GaugeLinkField; // bit ugly naming; polarised
// gauge field, lorentz... all
// ugly
typedef Lattice<SiteGaugeField> GaugeField;
INHERIT_GIMPL_TYPES(GimplTypes);
////////////////////////////////////////////////////////////////////////////////////////////////////////////
// Support needed for the assembly of loops including all boundary condition effects such as conjugate bcs
////////////////////////////////////////////////////////////////////////////////////////////////////////////
template<class covariant> static inline
Lattice<covariant> CovShiftForward (const GaugeLinkField &Link, int mu, const Lattice<covariant> &field) {
return PeriodicBC::CovShiftForward(Link,mu,field);
}
template<class covariant> static inline
Lattice<covariant> CovShiftBackward(const GaugeLinkField &Link, int mu,const Lattice<covariant> &field) {
return PeriodicBC::CovShiftBackward(Link,mu,field);
}
static inline
GaugeLinkField CovShiftIdentityBackward(const GaugeLinkField &Link, int mu) {
return Cshift(adj(Link),mu,-1);
}
static inline
GaugeLinkField CovShiftIdentityForward(const GaugeLinkField &Link, int mu) {
return Link;
}
static inline
GaugeLinkField ShiftStaple(const GaugeLinkField &Link, int mu) {
return Cshift(Link,mu,1);
}
static inline bool isPeriodicGaugeField(void) {
return true;
}
};
// Composition with smeared link, bc's etc.. probably need multiple inheritance
// Variable precision "S" and variable Nc
template<class GimplTypes>
class ConjugateGaugeImpl : public GimplTypes {
public:
INHERIT_GIMPL_TYPES(GimplTypes);
////////////////////////////////////////////////////////////////////////////////////////////////////////////
// Support needed for the assembly of loops including all boundary condition effects such as Gparity.
////////////////////////////////////////////////////////////////////////////////////////////////////////////
template<class covariant> static
Lattice<covariant> CovShiftForward (const GaugeLinkField &Link, int mu, const Lattice<covariant> &field) {
return ConjugateBC::CovShiftForward(Link,mu,field);
// Move this elsewhere?
static inline void AddGaugeLink(GaugeField &U, GaugeLinkField &W,
int mu) { // U[mu] += W
PARALLEL_FOR_LOOP
for (auto ss = 0; ss < U._grid->oSites(); ss++) {
U._odata[ss]._internal[mu] =
U._odata[ss]._internal[mu] + W._odata[ss]._internal;
}
template<class covariant> static
Lattice<covariant> CovShiftBackward(const GaugeLinkField &Link, int mu,const Lattice<covariant> &field) {
return ConjugateBC::CovShiftBackward(Link,mu,field);
}
static inline
GaugeLinkField CovShiftIdentityBackward(const GaugeLinkField &Link, int mu) {
GridBase *grid = Link._grid;
int Lmu = grid->GlobalDimensions()[mu]-1;
Lattice<iScalar<vInteger> > coor(grid); LatticeCoordinate(coor,mu);
GaugeLinkField tmp (grid);
tmp=adj(Link);
tmp = where(coor==Lmu,conjugate(tmp),tmp);
return Cshift(tmp,mu,-1);// moves towards positive mu
}
static inline
GaugeLinkField CovShiftIdentityForward(const GaugeLinkField &Link, int mu) {
return Link;
}
static inline
GaugeLinkField ShiftStaple(const GaugeLinkField &Link, int mu) {
GridBase *grid = Link._grid;
int Lmu = grid->GlobalDimensions()[mu]-1;
Lattice<iScalar<vInteger> > coor(grid); LatticeCoordinate(coor,mu);
GaugeLinkField tmp (grid);
tmp=Cshift(Link,mu,1);
tmp=where(coor==Lmu,conjugate(tmp),tmp);
return tmp;
}
static inline bool isPeriodicGaugeField(void) {
return false;
}
};
typedef GaugeImplTypes<vComplex,Nc> GimplTypesR;
typedef GaugeImplTypes<vComplexF,Nc> GimplTypesF;
typedef GaugeImplTypes<vComplexD,Nc> GimplTypesD;
typedef PeriodicGaugeImpl<GimplTypesR> PeriodicGimplR; // Real.. whichever prec
typedef PeriodicGaugeImpl<GimplTypesF> PeriodicGimplF; // Float
typedef PeriodicGaugeImpl<GimplTypesD> PeriodicGimplD; // Double
typedef ConjugateGaugeImpl<GimplTypesR> ConjugateGimplR; // Real.. whichever prec
typedef ConjugateGaugeImpl<GimplTypesF> ConjugateGimplF; // Float
typedef ConjugateGaugeImpl<GimplTypesD> ConjugateGimplD; // Double
}
};
// Composition with smeared link, bc's etc.. probably need multiple inheritance
// Variable precision "S" and variable Nc
template <class GimplTypes> class PeriodicGaugeImpl : public GimplTypes {
public:
INHERIT_GIMPL_TYPES(GimplTypes);
////////////////////////////////////////////////////////////////////////////////////////////////////////////
// Support needed for the assembly of loops including all boundary condition
// effects such as conjugate bcs
////////////////////////////////////////////////////////////////////////////////////////////////////////////
template <class covariant>
static inline Lattice<covariant>
CovShiftForward(const GaugeLinkField &Link, int mu,
const Lattice<covariant> &field) {
return PeriodicBC::CovShiftForward(Link, mu, field);
}
template <class covariant>
static inline Lattice<covariant>
CovShiftBackward(const GaugeLinkField &Link, int mu,
const Lattice<covariant> &field) {
return PeriodicBC::CovShiftBackward(Link, mu, field);
}
static inline GaugeLinkField
CovShiftIdentityBackward(const GaugeLinkField &Link, int mu) {
return Cshift(adj(Link), mu, -1);
}
static inline GaugeLinkField
CovShiftIdentityForward(const GaugeLinkField &Link, int mu) {
return Link;
}
static inline GaugeLinkField ShiftStaple(const GaugeLinkField &Link, int mu) {
return Cshift(Link, mu, 1);
}
static inline bool isPeriodicGaugeField(void) { return true; }
};
// Composition with smeared link, bc's etc.. probably need multiple inheritance
// Variable precision "S" and variable Nc
template <class GimplTypes> class ConjugateGaugeImpl : public GimplTypes {
public:
INHERIT_GIMPL_TYPES(GimplTypes);
////////////////////////////////////////////////////////////////////////////////////////////////////////////
// Support needed for the assembly of loops including all boundary condition
// effects such as Gparity.
////////////////////////////////////////////////////////////////////////////////////////////////////////////
template <class covariant>
static Lattice<covariant> CovShiftForward(const GaugeLinkField &Link, int mu,
const Lattice<covariant> &field) {
return ConjugateBC::CovShiftForward(Link, mu, field);
}
template <class covariant>
static Lattice<covariant> CovShiftBackward(const GaugeLinkField &Link, int mu,
const Lattice<covariant> &field) {
return ConjugateBC::CovShiftBackward(Link, mu, field);
}
static inline GaugeLinkField
CovShiftIdentityBackward(const GaugeLinkField &Link, int mu) {
GridBase *grid = Link._grid;
int Lmu = grid->GlobalDimensions()[mu] - 1;
Lattice<iScalar<vInteger>> coor(grid);
LatticeCoordinate(coor, mu);
GaugeLinkField tmp(grid);
tmp = adj(Link);
tmp = where(coor == Lmu, conjugate(tmp), tmp);
return Cshift(tmp, mu, -1); // moves towards positive mu
}
static inline GaugeLinkField
CovShiftIdentityForward(const GaugeLinkField &Link, int mu) {
return Link;
}
static inline GaugeLinkField ShiftStaple(const GaugeLinkField &Link, int mu) {
GridBase *grid = Link._grid;
int Lmu = grid->GlobalDimensions()[mu] - 1;
Lattice<iScalar<vInteger>> coor(grid);
LatticeCoordinate(coor, mu);
GaugeLinkField tmp(grid);
tmp = Cshift(Link, mu, 1);
tmp = where(coor == Lmu, conjugate(tmp), tmp);
return tmp;
}
static inline bool isPeriodicGaugeField(void) { return false; }
};
typedef GaugeImplTypes<vComplex, Nc> GimplTypesR;
typedef GaugeImplTypes<vComplexF, Nc> GimplTypesF;
typedef GaugeImplTypes<vComplexD, Nc> GimplTypesD;
typedef PeriodicGaugeImpl<GimplTypesR> PeriodicGimplR; // Real.. whichever prec
typedef PeriodicGaugeImpl<GimplTypesF> PeriodicGimplF; // Float
typedef PeriodicGaugeImpl<GimplTypesD> PeriodicGimplD; // Double
typedef ConjugateGaugeImpl<GimplTypesR>
ConjugateGimplR; // Real.. whichever prec
typedef ConjugateGaugeImpl<GimplTypesF> ConjugateGimplF; // Float
typedef ConjugateGaugeImpl<GimplTypesD> ConjugateGimplD; // Double
}
}
#endif

334
lib/qcd/action/pseudofermion/OneFlavourEvenOddRational.h
View File

@ -1,212 +1,214 @@
/*************************************************************************************
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/qcd/action/pseudofermion/OneFlavourEvenOddRational.h
Source file: ./lib/qcd/action/pseudofermion/OneFlavourEvenOddRational.h
Copyright (C) 2015
Copyright (C) 2015
Author: Peter Boyle <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 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.
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.
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 */
See the full license in the file "LICENSE" in the top level distribution
directory
*************************************************************************************/
/* END LEGAL */
#ifndef QCD_PSEUDOFERMION_ONE_FLAVOUR_EVEN_ODD_RATIONAL_H
#define QCD_PSEUDOFERMION_ONE_FLAVOUR_EVEN_ODD_RATIONAL_H
namespace Grid{
namespace QCD{
namespace Grid {
namespace QCD {
///////////////////////////////////////
// One flavour rational
///////////////////////////////////////
///////////////////////////////////////
// One flavour rational
///////////////////////////////////////
// S_f = chi^dag * N(Mpc^dag*Mpc)/D(Mpc^dag*Mpc) * chi
// S_f = chi^dag * N(Mpc^dag*Mpc)/D(Mpc^dag*Mpc) * chi
//
// Here, M is some operator
// N and D makeup the rat. poly
//
template <class Impl>
class OneFlavourEvenOddRationalPseudoFermionAction
: public Action<typename Impl::GaugeField> {
public:
INHERIT_IMPL_TYPES(Impl);
typedef OneFlavourRationalParams Params;
Params param;
MultiShiftFunction PowerHalf;
MultiShiftFunction PowerNegHalf;
MultiShiftFunction PowerQuarter;
MultiShiftFunction PowerNegQuarter;
private:
FermionOperator<Impl> &FermOp; // the basic operator
// NOT using "Nroots"; IroIro is -- perhaps later, but this wasn't good for us
// historically
// and hasenbusch works better
FermionField PhiEven; // the pseudo fermion field for this trajectory
FermionField PhiOdd; // the pseudo fermion field for this trajectory
public:
OneFlavourEvenOddRationalPseudoFermionAction(FermionOperator<Impl> &Op,
Params &p)
: FermOp(Op),
PhiEven(Op.FermionRedBlackGrid()),
PhiOdd(Op.FermionRedBlackGrid()),
param(p) {
AlgRemez remez(param.lo, param.hi, param.precision);
// MdagM^(+- 1/2)
std::cout << GridLogMessage << "Generating degree " << param.degree
<< " for x^(1/2)" << std::endl;
remez.generateApprox(param.degree, 1, 2);
PowerHalf.Init(remez, param.tolerance, false);
PowerNegHalf.Init(remez, param.tolerance, true);
// MdagM^(+- 1/4)
std::cout << GridLogMessage << "Generating degree " << param.degree
<< " for x^(1/4)" << std::endl;
remez.generateApprox(param.degree, 1, 4);
PowerQuarter.Init(remez, param.tolerance, false);
PowerNegQuarter.Init(remez, param.tolerance, true);
};
virtual void refresh(const GaugeField &U, GridParallelRNG &pRNG) {
// P(phi) = e^{- phi^dag (MpcdagMpc)^-1/2 phi}
// = e^{- phi^dag (MpcdagMpc)^-1/4 (MpcdagMpc)^-1/4 phi}
// Phi = MpcdagMpc^{1/4} eta
//
// Here, M is some operator
// N and D makeup the rat. poly
// P(eta) = e^{- eta^dag eta}
//
template<class Impl>
class OneFlavourEvenOddRationalPseudoFermionAction : public Action<typename Impl::GaugeField> {
public:
INHERIT_IMPL_TYPES(Impl);
// e^{x^2/2 sig^2} => sig^2 = 0.5.
//
// So eta should be of width sig = 1/sqrt(2).
typedef OneFlavourRationalParams Params;
Params param;
RealD scale = std::sqrt(0.5);
MultiShiftFunction PowerHalf ;
MultiShiftFunction PowerNegHalf;
MultiShiftFunction PowerQuarter;
MultiShiftFunction PowerNegQuarter;
FermionField eta(FermOp.FermionGrid());
FermionField etaOdd(FermOp.FermionRedBlackGrid());
FermionField etaEven(FermOp.FermionRedBlackGrid());
private:
FermionOperator<Impl> & FermOp;// the basic operator
gaussian(pRNG, eta);
eta = eta * scale;
// NOT using "Nroots"; IroIro is -- perhaps later, but this wasn't good for us historically
// and hasenbusch works better
pickCheckerboard(Even, etaEven, eta);
pickCheckerboard(Odd, etaOdd, eta);
FermionField PhiEven; // the pseudo fermion field for this trajectory
FermionField PhiOdd; // the pseudo fermion field for this trajectory
FermOp.ImportGauge(U);
public:
// mutishift CG
SchurDifferentiableOperator<Impl> Mpc(FermOp);
ConjugateGradientMultiShift<FermionField> msCG(param.MaxIter, PowerQuarter);
msCG(Mpc, etaOdd, PhiOdd);
OneFlavourEvenOddRationalPseudoFermionAction(FermionOperator<Impl> &Op,
Params & p ) : FermOp(Op),
PhiEven(Op.FermionRedBlackGrid()),
PhiOdd (Op.FermionRedBlackGrid()),
param(p)
{
AlgRemez remez(param.lo,param.hi,param.precision);
//////////////////////////////////////////////////////
// FIXME : Clover term not yet..
//////////////////////////////////////////////////////
// MdagM^(+- 1/2)
std::cout<<GridLogMessage << "Generating degree "<<param.degree<<" for x^(1/2)"<<std::endl;
remez.generateApprox(param.degree,1,2);
PowerHalf.Init(remez,param.tolerance,false);
PowerNegHalf.Init(remez,param.tolerance,true);
assert(FermOp.ConstEE() == 1);
PhiEven = zero;
};
// MdagM^(+- 1/4)
std::cout<<GridLogMessage << "Generating degree "<<param.degree<<" for x^(1/4)"<<std::endl;
remez.generateApprox(param.degree,1,4);
PowerQuarter.Init(remez,param.tolerance,false);
PowerNegQuarter.Init(remez,param.tolerance,true);
};
virtual void refresh(const GaugeField &U, GridParallelRNG& pRNG) {
//////////////////////////////////////////////////////
// S = phi^dag (Mdag M)^-1/2 phi
//////////////////////////////////////////////////////
virtual RealD S(const GaugeField &U) {
FermOp.ImportGauge(U);
// P(phi) = e^{- phi^dag (MpcdagMpc)^-1/2 phi}
// = e^{- phi^dag (MpcdagMpc)^-1/4 (MpcdagMpc)^-1/4 phi}
// Phi = MpcdagMpc^{1/4} eta
//
// P(eta) = e^{- eta^dag eta}
//
// e^{x^2/2 sig^2} => sig^2 = 0.5.
//
// So eta should be of width sig = 1/sqrt(2).
FermionField Y(FermOp.FermionRedBlackGrid());
RealD scale = std::sqrt(0.5);
SchurDifferentiableOperator<Impl> Mpc(FermOp);
FermionField eta (FermOp.FermionGrid());
FermionField etaOdd (FermOp.FermionRedBlackGrid());
FermionField etaEven(FermOp.FermionRedBlackGrid());
ConjugateGradientMultiShift<FermionField> msCG(param.MaxIter,
PowerNegQuarter);
gaussian(pRNG,eta); eta=eta*scale;
msCG(Mpc, PhiOdd, Y);
pickCheckerboard(Even,etaEven,eta);
pickCheckerboard(Odd,etaOdd,eta);
RealD action = norm2(Y);
std::cout << GridLogMessage << "Pseudofermion action FIXME -- is -1/4 "
"solve or -1/2 solve faster??? "
<< action << std::endl;
FermOp.ImportGauge(U);
return action;
};
// mutishift CG
SchurDifferentiableOperator<Impl> Mpc(FermOp);
ConjugateGradientMultiShift<FermionField> msCG(param.MaxIter,PowerQuarter);
msCG(Mpc,etaOdd,PhiOdd);
//////////////////////////////////////////////////////
// Need
// dS_f/dU = chi^dag d[N/D] chi
//
// N/D is expressed as partial fraction expansion:
//
// a0 + \sum_k ak/(M^dagM + bk)
//
// d[N/D] is then
//
// \sum_k -ak [M^dagM+bk]^{-1} [ dM^dag M + M^dag dM ] [M^dag M +
// bk]^{-1}
//
// Need
// Mf Phi_k = [MdagM+bk]^{-1} Phi
// Mf Phi = \sum_k ak [MdagM+bk]^{-1} Phi
//
// With these building blocks
//
// dS/dU = \sum_k -ak Mf Phi_k^dag [ dM^dag M + M^dag dM ] Mf
// Phi_k
// S = innerprodReal(Phi,Mf Phi);
//////////////////////////////////////////////////////
virtual void deriv(const GaugeField &U, GaugeField &dSdU) {
const int Npole = PowerNegHalf.poles.size();
//////////////////////////////////////////////////////
// FIXME : Clover term not yet..
//////////////////////////////////////////////////////
std::vector<FermionField> MPhi_k(Npole, FermOp.FermionRedBlackGrid());
assert(FermOp.ConstEE() == 1);
PhiEven = zero;
};
FermionField X(FermOp.FermionRedBlackGrid());
FermionField Y(FermOp.FermionRedBlackGrid());
//////////////////////////////////////////////////////
// S = phi^dag (Mdag M)^-1/2 phi
//////////////////////////////////////////////////////
virtual RealD S(const GaugeField &U) {
GaugeField tmp(FermOp.GaugeGrid());
FermOp.ImportGauge(U);
FermOp.ImportGauge(U);
FermionField Y(FermOp.FermionRedBlackGrid());
SchurDifferentiableOperator<Impl> Mpc(FermOp);
SchurDifferentiableOperator<Impl> Mpc(FermOp);
ConjugateGradientMultiShift<FermionField> msCG(param.MaxIter,PowerNegQuarter);
ConjugateGradientMultiShift<FermionField> msCG(param.MaxIter, PowerNegHalf);
msCG(Mpc,PhiOdd,Y);
msCG(Mpc, PhiOdd, MPhi_k);
RealD action = norm2(Y);
std::cout << GridLogMessage << "Pseudofermion action FIXME -- is -1/4 solve or -1/2 solve faster??? "<<action<<std::endl;
dSdU = zero;
for (int k = 0; k < Npole; k++) {
RealD ak = PowerNegHalf.residues[k];
return action;
};
X = MPhi_k[k];
//////////////////////////////////////////////////////
// Need
// dS_f/dU = chi^dag d[N/D] chi
//
// N/D is expressed as partial fraction expansion:
//
// a0 + \sum_k ak/(M^dagM + bk)
//
// d[N/D] is then
//
// \sum_k -ak [M^dagM+bk]^{-1} [ dM^dag M + M^dag dM ] [M^dag M + bk]^{-1}
//
// Need
// Mf Phi_k = [MdagM+bk]^{-1} Phi
// Mf Phi = \sum_k ak [MdagM+bk]^{-1} Phi
//
// With these building blocks
//
// dS/dU = \sum_k -ak Mf Phi_k^dag [ dM^dag M + M^dag dM ] Mf Phi_k
// S = innerprodReal(Phi,Mf Phi);
//////////////////////////////////////////////////////
virtual void deriv(const GaugeField &U,GaugeField & dSdU) {
Mpc.Mpc(X, Y);
Mpc.MpcDeriv(tmp, Y, X);
dSdU = dSdU + ak * tmp;
Mpc.MpcDagDeriv(tmp, X, Y);
dSdU = dSdU + ak * tmp;
}
const int Npole = PowerNegHalf.poles.size();
std::vector<FermionField> MPhi_k (Npole,FermOp.FermionRedBlackGrid());
FermionField X(FermOp.FermionRedBlackGrid());
FermionField Y(FermOp.FermionRedBlackGrid());
GaugeField tmp(FermOp.GaugeGrid());
FermOp.ImportGauge(U);
SchurDifferentiableOperator<Impl> Mpc(FermOp);
ConjugateGradientMultiShift<FermionField> msCG(param.MaxIter,PowerNegHalf);
msCG(Mpc,PhiOdd,MPhi_k);
dSdU = zero;
for(int k=0;k<Npole;k++){
RealD ak = PowerNegHalf.residues[k];
X = MPhi_k[k];
Mpc.Mpc(X,Y);
Mpc.MpcDeriv (tmp , Y, X ); dSdU=dSdU+ak*tmp;
Mpc.MpcDagDeriv(tmp , X, Y ); dSdU=dSdU+ak*tmp;
}
dSdU = Ta(dSdU);
};
};
}
// dSdU = Ta(dSdU);
};
};
}
}
#endif

2
lib/qcd/action/pseudofermion/OneFlavourEvenOddRationalRatio.h
View File

@ -256,7 +256,7 @@ namespace Grid{
}
dSdU = Ta(dSdU);
//dSdU = Ta(dSdU);
};
};

2
lib/qcd/action/pseudofermion/OneFlavourRational.h
View File

@ -186,7 +186,7 @@ namespace Grid{
}
dSdU = Ta(dSdU);
//dSdU = Ta(dSdU);
};
};

2
lib/qcd/action/pseudofermion/OneFlavourRationalRatio.h
View File

@ -242,7 +242,7 @@ namespace Grid{
}
dSdU = Ta(dSdU);
//dSdU = Ta(dSdU);
};
};

2
lib/qcd/action/pseudofermion/TwoFlavour.h
View File

@ -137,7 +137,7 @@ namespace Grid{
FermOp.MDeriv(tmp , Y, X,DaggerNo ); dSdU=tmp;
FermOp.MDeriv(tmp , X, Y,DaggerYes); dSdU=dSdU+tmp;
dSdU = Ta(dSdU);
//dSdU = Ta(dSdU);
};

180
lib/qcd/action/pseudofermion/TwoFlavourEvenOdd.h
View File

@ -62,118 +62,120 @@ class TwoFlavourEvenOddPseudoFermionAction
DerivativeSolver(DS),
ActionSolver(AS),
PhiEven(Op.FermionRedBlackGrid()),
PhiOdd(Op.FermionRedBlackGrid()){};
PhiOdd(Op.FermionRedBlackGrid())
{};
//////////////////////////////////////////////////////////////////////////////////////
// Push the gauge field in to the dops. Assume any BC's and smearing already applied
//////////////////////////////////////////////////////////////////////////////////////
virtual void refresh(const GaugeField &U, GridParallelRNG& pRNG) {
//////////////////////////////////////////////////////////////////////////////////////
// Push the gauge field in to the dops. Assume any BC's and smearing already
// applied
//////////////////////////////////////////////////////////////////////////////////////
virtual void refresh(const GaugeField &U, GridParallelRNG &pRNG) {
// P(phi) = e^{- phi^dag (MpcdagMpc)^-1 phi}
// Phi = McpDag eta
// P(eta) = e^{- eta^dag eta}
//
// e^{x^2/2 sig^2} => sig^2 = 0.5.
// P(phi) = e^{- phi^dag (MpcdagMpc)^-1 phi}
// Phi = McpDag eta
// P(eta) = e^{- eta^dag eta}
//
// e^{x^2/2 sig^2} => sig^2 = 0.5.
RealD scale = std::sqrt(0.5);
RealD scale = std::sqrt(0.5);
FermionField eta(FermOp.FermionGrid());
FermionField etaOdd(FermOp.FermionRedBlackGrid());
FermionField etaEven(FermOp.FermionRedBlackGrid());
FermionField eta (FermOp.FermionGrid());
FermionField etaOdd (FermOp.FermionRedBlackGrid());
FermionField etaEven(FermOp.FermionRedBlackGrid());
gaussian(pRNG, eta);
pickCheckerboard(Even, etaEven, eta);
pickCheckerboard(Odd, etaOdd, eta);
gaussian(pRNG,eta);
pickCheckerboard(Even,etaEven,eta);
pickCheckerboard(Odd,etaOdd,eta);
FermOp.ImportGauge(U);
SchurDifferentiableOperator<Impl> PCop(FermOp);
FermOp.ImportGauge(U);
SchurDifferentiableOperator<Impl> PCop(FermOp);
PCop.MpcDag(etaOdd, PhiOdd);
PCop.MpcDag(etaOdd,PhiOdd);
FermOp.MooeeDag(etaEven, PhiEven);
FermOp.MooeeDag(etaEven,PhiEven);
PhiOdd = PhiOdd * scale;
PhiEven = PhiEven * scale;
};
PhiOdd =PhiOdd*scale;
PhiEven=PhiEven*scale;
//////////////////////////////////////////////////////
// S = phi^dag (Mdag M)^-1 phi (odd)
// + phi^dag (Mdag M)^-1 phi (even)
//////////////////////////////////////////////////////
virtual RealD S(const GaugeField &U) {
FermOp.ImportGauge(U);
};
FermionField X(FermOp.FermionRedBlackGrid());
FermionField Y(FermOp.FermionRedBlackGrid());
//////////////////////////////////////////////////////
// S = phi^dag (Mdag M)^-1 phi (odd)
// + phi^dag (Mdag M)^-1 phi (even)
//////////////////////////////////////////////////////
virtual RealD S(const GaugeField &U) {
SchurDifferentiableOperator<Impl> PCop(FermOp);
FermOp.ImportGauge(U);
X = zero;
ActionSolver(PCop, PhiOdd, X);
PCop.Op(X, Y);
RealD action = norm2(Y);
FermionField X(FermOp.FermionRedBlackGrid());
FermionField Y(FermOp.FermionRedBlackGrid());
SchurDifferentiableOperator<Impl> PCop(FermOp);
// The EE factorised block; normally can replace with zero if det is
// constant (gauge field indept)
// Only really clover term that creates this.
FermOp.MooeeInvDag(PhiEven, Y);
action = action + norm2(Y);
X=zero;
ActionSolver(PCop,PhiOdd,X);
PCop.Op(X,Y);
RealD action = norm2(Y);
std::cout << GridLogMessage << "Pseudofermion EO action " << action
<< std::endl;
return action;
};
// The EE factorised block; normally can replace with zero if det is constant (gauge field indept)
// Only really clover term that creates this.
FermOp.MooeeInvDag(PhiEven,Y);
action = action + norm2(Y);
//////////////////////////////////////////////////////
//
// dS/du = - phi^dag (Mdag M)^-1 [ Mdag dM + dMdag M ] (Mdag M)^-1 phi
// = - phi^dag M^-1 dM (MdagM)^-1 phi - phi^dag (MdagM)^-1 dMdag dM
// (Mdag)^-1 phi
//
// = - Ydag dM X - Xdag dMdag Y
//
//////////////////////////////////////////////////////
virtual void deriv(const GaugeField &U, GaugeField &dSdU) {
FermOp.ImportGauge(U);
std::cout << GridLogMessage << "Pseudofermion EO action "<<action<<std::endl;
return action;
};
FermionField X(FermOp.FermionRedBlackGrid());
FermionField Y(FermOp.FermionRedBlackGrid());
GaugeField tmp(FermOp.GaugeGrid());
//////////////////////////////////////////////////////
//
// dS/du = - phi^dag (Mdag M)^-1 [ Mdag dM + dMdag M ] (Mdag M)^-1 phi
// = - phi^dag M^-1 dM (MdagM)^-1 phi - phi^dag (MdagM)^-1 dMdag dM (Mdag)^-1 phi
//
// = - Ydag dM X - Xdag dMdag Y
//
//////////////////////////////////////////////////////
virtual void deriv(const GaugeField &U,GaugeField & dSdU) {
SchurDifferentiableOperator<Impl> Mpc(FermOp);
FermOp.ImportGauge(U);
// 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.
FermionField X(FermOp.FermionRedBlackGrid());
FermionField Y(FermOp.FermionRedBlackGrid());
GaugeField tmp(FermOp.GaugeGrid());
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;
SchurDifferentiableOperator<Impl> Mpc(FermOp);
// Treat the EE case. (MdagM)^-1 = Minv Minvdag
// Deriv defaults to zero.
// FermOp.MooeeInvDag(PhiOdd,Y);
// FermOp.MooeeInv(Y,X);
// FermOp.MeeDeriv(tmp , Y, X,DaggerNo ); dSdU=tmp;
// FermOp.MeeDeriv(tmp , X, Y,DaggerYes); dSdU=dSdU+tmp;
// 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.
assert(FermOp.ConstEE() == 1);
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;
/*
FermOp.MooeeInvDag(PhiOdd,Y);
FermOp.MooeeInv(Y,X);
FermOp.MeeDeriv(tmp , Y, X,DaggerNo ); dSdU=tmp;
FermOp.MeeDeriv(tmp , X, Y,DaggerYes); dSdU=dSdU+tmp;
*/
// Treat the EE case. (MdagM)^-1 = Minv Minvdag
// Deriv defaults to zero.
// FermOp.MooeeInvDag(PhiOdd,Y);
// FermOp.MooeeInv(Y,X);
// FermOp.MeeDeriv(tmp , Y, X,DaggerNo ); dSdU=tmp;
// FermOp.MeeDeriv(tmp , X, Y,DaggerYes); dSdU=dSdU+tmp;
dSdU = Ta(dSdU);
};
};
}
assert(FermOp.ConstEE() == 1);
/*
FermOp.MooeeInvDag(PhiOdd,Y);
FermOp.MooeeInv(Y,X);
FermOp.MeeDeriv(tmp , Y, X,DaggerNo ); dSdU=tmp;
FermOp.MeeDeriv(tmp , X, Y,DaggerYes); dSdU=dSdU+tmp;
*/
//dSdU = Ta(dSdU);
};
};
}
}
#endif

5
lib/qcd/action/pseudofermion/TwoFlavourEvenOddRatio.h
View File

@ -188,8 +188,9 @@ namespace Grid{
assert(NumOp.ConstEE() == 1);
assert(DenOp.ConstEE() == 1);
dSdU = -Ta(dSdU);
//dSdU = -Ta(dSdU);
dSdU = -dSdU;
};
};
}

3
lib/qcd/action/pseudofermion/TwoFlavourRatio.h
View File

@ -155,7 +155,8 @@ namespace Grid{
DenOp.MDeriv(force,Y,X,DaggerNo); dSdU=dSdU-force;
DenOp.MDeriv(force,X,Y,DaggerYes); dSdU=dSdU-force;
dSdU = - Ta(dSdU);
dSdU *= -1.0;
//dSdU = - Ta(dSdU);
};
};

348
lib/qcd/hmc/HMC.h
View File

@ -1,33 +1,34 @@
/*************************************************************************************
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/qcd/hmc/HMC.h
Source file: ./lib/qcd/hmc/HMC.h
Copyright (C) 2015
Copyright (C) 2015
Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
Author: Peter Boyle <paboyle@ph.ed.ac.uk>
Author: neo <cossu@post.kek.jp>
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 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.
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.
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 */
See the full license in the file "LICENSE" in the top level distribution
directory
*************************************************************************************/
/* END LEGAL */
//--------------------------------------------------------------------
/*! @file HMC.h
* @brief Classes for Hybrid Monte Carlo update
@ -41,172 +42,195 @@ Author: paboyle <paboyle@ph.ed.ac.uk>
#include <string>
namespace Grid {
namespace QCD {
namespace Grid{
namespace QCD{
struct HMCparameters {
Integer StartTrajectory;
Integer Trajectories; /* @brief Number of sweeps in this run */
bool MetropolisTest;
Integer NoMetropolisUntil;
struct HMCparameters{
HMCparameters() {
////////////////////////////// Default values
MetropolisTest = true;
NoMetropolisUntil = 10;
StartTrajectory = 0;
Trajectories = 200;
/////////////////////////////////
}
Integer StartTrajectory;
Integer Trajectories; /* @brief Number of sweeps in this run */
bool MetropolisTest;
Integer NoMetropolisUntil;
void print() const {
std::cout << GridLogMessage << "[HMC parameter] Trajectories : " << Trajectories << "\n";
std::cout << GridLogMessage << "[HMC parameter] Start trajectory : " << StartTrajectory << "\n";
std::cout << GridLogMessage << "[HMC parameter] Metropolis test (on/off): " << MetropolisTest << "\n";
std::cout << GridLogMessage << "[HMC parameter] Thermalization trajs : " << NoMetropolisUntil << "\n";
}
};
HMCparameters(){
////////////////////////////// Default values
MetropolisTest = true;
NoMetropolisUntil = 10;
StartTrajectory = 0;
Trajectories = 200;
/////////////////////////////////
}
};
template <class GaugeField>
class HmcObservable {
public:
virtual void TrajectoryComplete(int traj, GaugeField &U, GridSerialRNG &sRNG,
GridParallelRNG &pRNG) = 0;
};
template<class GaugeField>
class HmcObservable {
public:
virtual void TrajectoryComplete (int traj, GaugeField &U, GridSerialRNG &sRNG, GridParallelRNG & pRNG )=0;
};
template <class Gimpl>
class PlaquetteLogger : public HmcObservable<typename Gimpl::GaugeField> {
private:
std::string Stem;
template<class Gimpl>
class PlaquetteLogger : public HmcObservable<typename Gimpl::GaugeField> {
private:
std::string Stem;
public:
INHERIT_GIMPL_TYPES(Gimpl);
PlaquetteLogger(std::string cf) {
Stem = cf;
};
public:
INHERIT_GIMPL_TYPES(Gimpl);
PlaquetteLogger(std::string cf) { Stem = cf; };
void TrajectoryComplete(int traj, GaugeField &U, GridSerialRNG &sRNG, GridParallelRNG & pRNG )
{
std::string file; { std::ostringstream os; os << Stem <<"."<< traj; file = os.str(); }
std::ofstream of(file);
void TrajectoryComplete(int traj, GaugeField &U, GridSerialRNG &sRNG,
GridParallelRNG &pRNG) {
std::string file;
{
std::ostringstream os;
os << Stem << "." << traj;
file = os.str();
}
std::ofstream of(file);
RealD peri_plaq = WilsonLoops<PeriodicGimplR>::avgPlaquette(U);
RealD peri_rect = WilsonLoops<PeriodicGimplR>::avgRectangle(U);
RealD peri_plaq = WilsonLoops<PeriodicGimplR>::avgPlaquette(U);
RealD peri_rect = WilsonLoops<PeriodicGimplR>::avgRectangle(U);
RealD impl_plaq = WilsonLoops<Gimpl>::avgPlaquette(U);
RealD impl_rect = WilsonLoops<Gimpl>::avgRectangle(U);
RealD impl_plaq = WilsonLoops<Gimpl>::avgPlaquette(U);
RealD impl_rect = WilsonLoops<Gimpl>::avgRectangle(U);
of << traj<<" "<< impl_plaq << " " << impl_rect << " "<< peri_plaq<<" "<<peri_rect<<std::endl;
std::cout<< GridLogMessage<< "traj"<<" "<< "plaq " << " " << " rect " << " "<< "peri_plaq" <<" "<<"peri_rect"<<std::endl;
std::cout<< GridLogMessage<< traj<<" "<< impl_plaq << " " << impl_rect << " "<< peri_plaq<<" "<<peri_rect<<std::endl;
}
};
of << traj << " " << impl_plaq << " " << impl_rect << " " << peri_plaq
<< " " << peri_rect << std::endl;
std::cout << GridLogMessage << "traj"
<< " "
<< "plaq "
<< " "
<< " rect "
<< " "
<< "peri_plaq"
<< " "
<< "peri_rect" << std::endl;
std::cout << GridLogMessage << traj << " " << impl_plaq << " " << impl_rect
<< " " << peri_plaq << " " << peri_rect << std::endl;
}
};
// template <class GaugeField, class Integrator, class Smearer, class Boundary>
template <class GaugeField, class IntegratorType>
class HybridMonteCarlo {
private:
// template <class GaugeField, class Integrator, class Smearer, class
// Boundary>
template <class GaugeField, class IntegratorType>
class HybridMonteCarlo {
private:
const HMCparameters Params;
const HMCparameters Params;
GridSerialRNG &sRNG; // Fixme: need a RNG management strategy.
GridParallelRNG &pRNG; // Fixme: need a RNG management strategy.
GaugeField & Ucur;
GridSerialRNG &sRNG; // Fixme: need a RNG management strategy.
GridParallelRNG &pRNG; // Fixme: need a RNG management strategy.
GaugeField &Ucur;
IntegratorType &TheIntegrator;
std::vector<HmcObservable<GaugeField> *> Observables;
IntegratorType &TheIntegrator;
std::vector<HmcObservable<GaugeField> *> Observables;
/////////////////////////////////////////////////////////
// Metropolis step
/////////////////////////////////////////////////////////
bool metropolis_test(const RealD DeltaH){
/////////////////////////////////////////////////////////
// Metropolis step
/////////////////////////////////////////////////////////
bool metropolis_test(const RealD DeltaH) {
RealD rn_test;
RealD rn_test;
RealD prob = std::exp(-DeltaH);
RealD prob = std::exp(-DeltaH);
random(sRNG, rn_test);
random(sRNG,rn_test);
std::cout<<GridLogMessage<< "--------------------------------------------\n";
std::cout<<GridLogMessage<< "dH = "<<DeltaH << " Random = "<< rn_test <<"\n";
std::cout<<GridLogMessage<< "Acc. Probability = " << ((prob<1.0)? prob: 1.0)<< " ";
if((prob >1.0) || (rn_test <= prob)){ // accepted
std::cout<<GridLogMessage <<"-- ACCEPTED\n";
return true;
} else { // rejected
std::cout<<GridLogMessage <<"-- REJECTED\n";
return false;
}
std::cout << GridLogMessage
<< "--------------------------------------------------\n";
std::cout << GridLogMessage << "exp(-dH) = " << prob
<< " Random = " << rn_test << "\n";
std::cout << GridLogMessage
<< "Acc. Probability = " << ((prob < 1.0) ? prob : 1.0) << "\n";
if ((prob > 1.0) || (rn_test <= prob)) { // accepted
std::cout << GridLogMessage << "Metropolis_test -- ACCEPTED\n";
std::cout << GridLogMessage
<< "--------------------------------------------------\n";
return true;
} else { // rejected
std::cout << GridLogMessage << "Metropolis_test -- REJECTED\n";
std::cout << GridLogMessage
<< "--------------------------------------------------\n";
return false;
}
}
/////////////////////////////////////////////////////////
// Evolution
/////////////////////////////////////////////////////////
RealD evolve_step(GaugeField &U) {
TheIntegrator.refresh(U, pRNG); // set U and initialize P and phi's
RealD H0 = TheIntegrator.S(U); // initial state action
std::streamsize current_precision = std::cout.precision();
std::cout.precision(17);
std::cout << GridLogMessage << "Total H before trajectory = " << H0 << "\n";
std::cout.precision(current_precision);
TheIntegrator.integrate(U);
RealD H1 = TheIntegrator.S(U); // updated state action
std::cout.precision(17);
std::cout << GridLogMessage << "Total H after trajectory = " << H1
<< " dH = " << H1 - H0 << "\n";
std::cout.precision(current_precision);
return (H1 - H0);
}
public:
/////////////////////////////////////////
// Constructor
/////////////////////////////////////////
HybridMonteCarlo(HMCparameters Pams, IntegratorType &_Int,
GridSerialRNG &_sRNG, GridParallelRNG &_pRNG, GaugeField &_U)
: Params(Pams), TheIntegrator(_Int), sRNG(_sRNG), pRNG(_pRNG), Ucur(_U) {}
~HybridMonteCarlo(){};
void AddObservable(HmcObservable<GaugeField> *obs) {
Observables.push_back(obs);
}
void evolve(void) {
Real DeltaH;
GaugeField Ucopy(Ucur._grid);
Params.print();
// Actual updates (evolve a copy Ucopy then copy back eventually)
for (int traj = Params.StartTrajectory;
traj < Params.Trajectories + Params.StartTrajectory; ++traj) {
std::cout << GridLogMessage << "-- # Trajectory = " << traj << "\n";
Ucopy = Ucur;
DeltaH = evolve_step(Ucopy);
bool accept = true;
if (traj >= Params.NoMetropolisUntil) {
accept = metropolis_test(DeltaH);
}
/////////////////////////////////////////////////////////
// Evolution
/////////////////////////////////////////////////////////
RealD evolve_step(GaugeField& U){
TheIntegrator.refresh(U,pRNG); // set U and initialize P and phi's
RealD H0 = TheIntegrator.S(U); // initial state action
std::cout<<GridLogMessage<<"Total H before = "<< H0 << "\n";
TheIntegrator.integrate(U);
RealD H1 = TheIntegrator.S(U); // updated state action
std::cout<<GridLogMessage<<"Total H after = "<< H1 << "\n";
return (H1-H0);
}
public:
/////////////////////////////////////////
// Constructor
/////////////////////////////////////////
HybridMonteCarlo(HMCparameters Pms, IntegratorType &_Int, GridSerialRNG &_sRNG, GridParallelRNG &_pRNG, GaugeField &_U ) :
Params(Pms),
TheIntegrator(_Int),
sRNG(_sRNG),
pRNG(_pRNG),
Ucur(_U)
{
}
~HybridMonteCarlo(){};
void AddObservable(HmcObservable<GaugeField> *obs) {
Observables.push_back(obs);
if (accept) {
Ucur = Ucopy;
}
void evolve(void){
Real DeltaH;
GaugeField Ucopy(Ucur._grid);
// Actual updates (evolve a copy Ucopy then copy back eventually)
for(int traj=Params.StartTrajectory; traj < Params.Trajectories+Params.StartTrajectory; ++traj){
std::cout<<GridLogMessage << "-- # Trajectory = "<< traj << "\n";
Ucopy = Ucur;
DeltaH = evolve_step(Ucopy);
bool accept = true;
if ( traj > Params.NoMetropolisUntil) {
accept = metropolis_test(DeltaH);
}
if ( accept ) {
Ucur = Ucopy;
}
for(int obs = 0;obs<Observables.size();obs++){
Observables[obs]->TrajectoryComplete (traj+1,Ucur,sRNG,pRNG);
}
}
for (int obs = 0; obs < Observables.size(); obs++) {
Observables[obs]->TrajectoryComplete(traj + 1, Ucur, sRNG, pRNG);
}
};
}// QCD
}// Grid
}
}
};
} // QCD
} // Grid
#endif
#endif

59
lib/qcd/hmc/HmcRunner.h
View File

@ -47,7 +47,7 @@ public:
GridRedBlackCartesian * UrbGrid ;
GridRedBlackCartesian * FrbGrid ;
virtual void BuildTheAction (int argc, char **argv) = 0;
virtual void BuildTheAction (int argc, char **argv) = 0; // necessary?
void Run (int argc, char **argv){
@ -81,55 +81,78 @@ public:
NumTraj = ivec[0];
}
// Create integrator
typedef MinimumNorm2<GaugeField> IntegratorType;// change here to change the algorithm
IntegratorParameters MDpar(20);
IntegratorType MDynamics(UGrid,MDpar, TheAction);
int NumThermalizations = 10;
if( GridCmdOptionExists(argv,argv+argc,"--Thermalizations") ){
arg= GridCmdOptionPayload(argv,argv+argc,"--Thermalizations");
std::vector<int> ivec(0);
GridCmdOptionIntVector(arg,ivec);
NumThermalizations = ivec[0];
}
GridSerialRNG sRNG;
GridParallelRNG pRNG(UGrid);
LatticeGaugeField U(UGrid); // change this to an extended field (smearing class)
std::vector<int> SerSeed({1,2,3,4,5});
std::vector<int> ParSeed({6,7,8,9,10});
// Create integrator, including the smearing policy
// Smearing policy
std::cout << GridLogDebug << " Creating the Stout class\n";
double rho = 0.1; // smearing parameter, now hardcoded
int Nsmear = 1; // number of smearing levels
Smear_Stout<Gimpl> Stout(rho);
std::cout << GridLogDebug << " Creating the SmearedConfiguration class\n";
SmearedConfiguration<Gimpl> SmearingPolicy(UGrid, Nsmear, Stout);
std::cout << GridLogDebug << " done\n";
//////////////
typedef MinimumNorm2<GaugeField, SmearedConfiguration<Gimpl> > IntegratorType;// change here to change the algorithm
IntegratorParameters MDpar(20);
IntegratorType MDynamics(UGrid, MDpar, TheAction, SmearingPolicy);
// Checkpoint strategy
NerscHmcCheckpointer<Gimpl> Checkpoint(std::string("ckpoint_lat"),std::string("ckpoint_rng"),1);
PlaquetteLogger<Gimpl> PlaqLog(std::string("plaq"));
HMCparameters HMCpar;
HMCpar.StartTrajectory = StartTraj;
HMCpar.Trajectories = NumTraj;
HMCpar.StartTrajectory = StartTraj;
HMCpar.Trajectories = NumTraj;
HMCpar.NoMetropolisUntil = NumThermalizations;
GridSerialRNG sRNG;
GridParallelRNG pRNG(UGrid);
LatticeGaugeField U(UGrid);
std::vector<int> SerSeed({1,2,3,4,5});
std::vector<int> ParSeed({6,7,8,9,10});
if ( StartType == HotStart ) {
// Hot start
HMCpar.NoMetropolisUntil =10;
HMCpar.MetropolisTest = true;
sRNG.SeedFixedIntegers(SerSeed);
pRNG.SeedFixedIntegers(ParSeed);
SU3::HotConfiguration(pRNG, U);
} else if ( StartType == ColdStart ) {
// Cold start
HMCpar.NoMetropolisUntil =10;
HMCpar.MetropolisTest = true;
sRNG.SeedFixedIntegers(SerSeed);
pRNG.SeedFixedIntegers(ParSeed);
SU3::ColdConfiguration(pRNG, U);
} else if ( StartType == TepidStart ) {
// Tepid start
HMCpar.NoMetropolisUntil =10;
HMCpar.MetropolisTest = true;
sRNG.SeedFixedIntegers(SerSeed);
pRNG.SeedFixedIntegers(ParSeed);
SU3::TepidConfiguration(pRNG, U);
} else if ( StartType == CheckpointStart ) {
HMCpar.NoMetropolisUntil =10;
HMCpar.MetropolisTest = true;
// CheckpointRestart
Checkpoint.CheckpointRestore(StartTraj, U, sRNG, pRNG);
}
HybridMonteCarlo<GaugeField,IntegratorType> HMC(HMCpar, MDynamics,sRNG,pRNG,U);
// Attach the gauge field to the smearing Policy and create the fill the smeared set
// notice that the unit configuration is singular in this procedure
std::cout << GridLogMessage << "Filling the smeared set\n";
SmearingPolicy.set_GaugeField(U);
HybridMonteCarlo<GaugeField,IntegratorType> HMC(HMCpar, MDynamics,sRNG,pRNG,U);
HMC.AddObservable(&Checkpoint);
HMC.AddObservable(&PlaqLog);

236
lib/qcd/hmc/integrators/Integrator.h
View File

@ -44,40 +44,40 @@ Author: paboyle <paboyle@ph.ed.ac.uk>
#include <memory>
namespace Grid{
namespace QCD{
namespace Grid{
namespace QCD{
struct IntegratorParameters{
struct IntegratorParameters{
int Nexp;
int Nexp;
int MDsteps; // number of outer steps
RealD trajL; // trajectory length
RealD stepsize;
IntegratorParameters(int MDsteps_,
RealD trajL_=1.0,
int Nexp_=12):
Nexp(Nexp_),
MDsteps(MDsteps_),
trajL(trajL_),
stepsize(trajL/MDsteps)
{
RealD trajL_=1.0,
int Nexp_=12):
Nexp(Nexp_),
MDsteps(MDsteps_),
trajL(trajL_),
stepsize(trajL/MDsteps)
{
// empty body constructor
};
};
};
};
/*! @brief Class for Molecular Dynamics management */
template<class GaugeField>
class Integrator {
template<class GaugeField, class SmearingPolicy>
class Integrator {
protected:
protected:
typedef IntegratorParameters ParameterType;
typedef IntegratorParameters ParameterType;
IntegratorParameters Params;
IntegratorParameters Params;
const ActionSet<GaugeField> as;
const ActionSet<GaugeField> as;
int levels; //
double t_U; // Track time passing on each level and for U and for P
@ -85,17 +85,19 @@ namespace Grid{
GaugeField P;
SmearingPolicy &Smearer;
// Should match any legal (SU(n)) gauge field
// Need to use this template to match Ncol to pass to SU<N> class
template<int Ncol,class vec> void generate_momenta(Lattice< iVector< iScalar< iMatrix<vec,Ncol> >, Nd> > & P,GridParallelRNG& pRNG){
typedef Lattice< iScalar< iScalar< iMatrix<vec,Ncol> > > > GaugeLinkField;
GaugeLinkField Pmu(P._grid);
Pmu = zero;
for(int mu=0;mu<Nd;mu++){
SU<Ncol>::GaussianLieAlgebraMatrix(pRNG, Pmu);
PokeIndex<LorentzIndex>(P, Pmu, mu);
}
typedef Lattice< iScalar< iScalar< iMatrix<vec,Ncol> > > > GaugeLinkField;
GaugeLinkField Pmu(P._grid);
Pmu = zero;
for(int mu=0;mu<Nd;mu++){
SU<Ncol>::GaussianLieAlgebraMatrix(pRNG, Pmu);
PokeIndex<LorentzIndex>(P, Pmu, mu);
}
}
//ObserverList observers; // not yet
@ -103,110 +105,128 @@ namespace Grid{
// void register_observers();
// void notify_observers();
void update_P(GaugeField&U, int level,double ep){
t_P[level]+=ep;
update_P(P,U,level,ep);
void update_P(GaugeField&U, int level, double ep){
t_P[level]+=ep;
update_P(P,U,level,ep);
std::cout<<GridLogIntegrator<<"["<<level<<"] P " << " dt "<< ep <<" : t_P "<< t_P[level] <<std::endl;
}
std::cout<<GridLogIntegrator<<"["<<level<<"] P " << " dt "<< ep <<" : t_P "<< t_P[level] <<std::endl;
}
void update_P(GaugeField &Mom,GaugeField&U, int level,double ep){
for(int a=0; a<as[level].actions.size(); ++a){
GaugeField force(U._grid);
as[level].actions.at(a)->deriv(U,force);
Mom = Mom - force*ep;
void update_P(GaugeField &Mom,GaugeField&U, int level,double ep){
// input U actually not used...
for(int a=0; a<as[level].actions.size(); ++a){
GaugeField force(U._grid);
GaugeField& Us = Smearer.get_U(as[level].actions.at(a)->is_smeared);
as[level].actions.at(a)->deriv(Us,force); // deriv should NOT include Ta
std::cout<< GridLogIntegrator << "Smearing (on/off): "<<as[level].actions.at(a)->is_smeared <<std::endl;
if (as[level].actions.at(a)->is_smeared) Smearer.smeared_force(force);
force = Ta(force);
std::cout<< GridLogIntegrator << "Force average: "<< norm2(force)/(U._grid->gSites()) <<std::endl;
Mom -= force*ep;
}
}
}
void update_U(GaugeField&U, double ep){
update_U(P,U,ep);
void update_U(GaugeField&U, double ep){
update_U(P,U,ep);
t_U+=ep;
int fl = levels-1;
std::cout<<GridLogIntegrator<<" "<<"["<<fl<<"] U " << " dt "<< ep <<" : t_U "<< t_U <<std::endl;
t_U+=ep;
int fl = levels-1;
std::cout<< GridLogIntegrator <<" "<<"["<<fl<<"] U " << " dt "<< ep <<" : t_U "<< t_U <<std::endl;
}
void update_U(GaugeField &Mom, GaugeField&U, double ep){
}
void update_U(GaugeField &Mom, GaugeField&U, double ep){
//rewrite exponential to deal automatically with the lorentz index?
// GaugeLinkField Umu(U._grid);
// GaugeLinkField Pmu(U._grid);
for (int mu = 0; mu < Nd; mu++){
auto Umu=PeekIndex<LorentzIndex>(U, mu);
auto Pmu=PeekIndex<LorentzIndex>(Mom, mu);
Umu = expMat(Pmu, ep, Params.Nexp)*Umu;
ProjectOnGroup(Umu);
PokeIndex<LorentzIndex>(U, Umu, mu);
for (int mu = 0; mu < Nd; mu++){
auto Umu=PeekIndex<LorentzIndex>(U, mu);
auto Pmu=PeekIndex<LorentzIndex>(Mom, mu);
Umu = expMat(Pmu, ep, Params.Nexp)*Umu;
ProjectOnGroup(Umu);
PokeIndex<LorentzIndex>(U, Umu, mu);
}
// Update the smeared fields, can be implemented as observer
Smearer.set_GaugeField(U);
}
}
virtual void step (GaugeField& U,int level, int first,int last)=0;
public:
virtual void step (GaugeField& U,int level, int first,int last)=0;
Integrator(GridBase* grid,
IntegratorParameters Par,
ActionSet<GaugeField> & Aset):
Params(Par),
as(Aset),
P(grid),
levels(Aset.size())
{
t_P.resize(levels,0.0);
t_U=0.0;
};
virtual ~Integrator(){}
public:
Integrator(GridBase* grid,
IntegratorParameters Par,
ActionSet<GaugeField> & Aset,
SmearingPolicy &Sm):
Params(Par),
as(Aset),
P(grid),
levels(Aset.size()),
Smearer(Sm)
{
t_P.resize(levels,0.0);
t_U=0.0;
// initialization of smearer delegated outside of Integrator
};
virtual ~Integrator(){}
//Initialization of momenta and actions
void refresh(GaugeField& U,GridParallelRNG &pRNG){
std::cout<<GridLogIntegrator<< "Integrator refresh\n";
generate_momenta(P,pRNG);
for(int level=0; level< as.size(); ++level){
for(int actionID=0; actionID<as[level].actions.size(); ++actionID){
as[level].actions.at(actionID)->refresh(U, pRNG);
}
void refresh(GaugeField& U,GridParallelRNG &pRNG){
std::cout<<GridLogIntegrator<< "Integrator refresh\n";
generate_momenta(P,pRNG);
for(int level=0; level< as.size(); ++level){
for(int actionID=0; actionID<as[level].actions.size(); ++actionID){
// get gauge field from the SmearingPolicy and
// based on the boolean is_smeared in actionID
GaugeField& Us = Smearer.get_U(as[level].actions.at(actionID)->is_smeared);
as[level].actions.at(actionID)->refresh(Us, pRNG);
}
}
}
}
// Calculate action
RealD S(GaugeField& U){
RealD S(GaugeField& U){// here also U not used
LatticeComplex Hloc(U._grid); Hloc = zero;
LatticeComplex Hloc(U._grid); Hloc = zero;
// Momenta
for (int mu=0; mu <Nd; mu++){
auto Pmu = PeekIndex<LorentzIndex>(P, mu);
Hloc -= trace(Pmu*Pmu);
}
Complex Hsum = sum(Hloc);
RealD H = Hsum.real();
RealD Hterm;
std::cout<<GridLogMessage << "Momentum action H_p = "<< H << "\n";
for (int mu=0; mu <Nd; mu++){
auto Pmu = PeekIndex<LorentzIndex>(P, mu);
Hloc -= trace(Pmu*Pmu);
}
Complex Hsum = sum(Hloc);
RealD H = Hsum.real();
RealD Hterm;
std::cout<<GridLogMessage << "Momentum action H_p = "<< H << "\n";
// Actions
for(int level=0; level<as.size(); ++level){
for(int actionID=0; actionID<as[level].actions.size(); ++actionID){
Hterm = as[level].actions.at(actionID)->S(U);
std::cout<<GridLogMessage << "Level "<<level<<" term "<<actionID<<" H = "<<Hterm<<std::endl;
H += Hterm;
}
}
return H;
}
for(int level=0; level<as.size(); ++level){
for(int actionID=0; actionID<as[level].actions.size(); ++actionID){
// get gauge field from the SmearingPolicy and
// based on the boolean is_smeared in actionID
GaugeField& Us = Smearer.get_U(as[level].actions.at(actionID)->is_smeared);
Hterm = as[level].actions.at(actionID)->S(Us);
std::cout<<GridLogMessage << "S Level "<<level<<" term "<<actionID<<" H = "<<Hterm<<std::endl;
H += Hterm;
}
}
void integrate(GaugeField& U){
return H;
}
void integrate(GaugeField& U){
// reset the clocks
t_U=0;
for(int level=0; level<as.size(); ++level){
t_P[level]=0;
}
t_U=0;
for(int level=0; level<as.size(); ++level){
t_P[level]=0;
}
for(int step=0; step< Params.MDsteps; ++step){ // MD step
int first_step = (step==0);
int last_step = (step==Params.MDsteps-1);
this->step(U,0,first_step,last_step);
int first_step = (step==0);
int last_step = (step==Params.MDsteps-1);
this->step(U,0,first_step,last_step);
}
// Check the clocks all match on all levels
@ -219,9 +239,9 @@ namespace Grid{
assert(fabs(t_U-Params.trajL) < 1.0e-6);
}
};
}
}
};
}
}
#endif//INTEGRATOR_INCLUDED

23
lib/qcd/hmc/integrators/Integrator_algorithm.h
View File

@ -91,14 +91,17 @@ namespace Grid{
* P 1/2 P 1/2
*/
template<class GaugeField> class LeapFrog : public Integrator<GaugeField> {
template<class GaugeField, class SmearingPolicy> class LeapFrog :
public Integrator<GaugeField, SmearingPolicy> {
public:
typedef LeapFrog<GaugeField> Algorithm;
typedef LeapFrog<GaugeField, SmearingPolicy> Algorithm;
LeapFrog(GridBase* grid,
IntegratorParameters Par,
ActionSet<GaugeField> & Aset): Integrator<GaugeField>(grid,Par,Aset) {};
ActionSet<GaugeField> & Aset,
SmearingPolicy & Sm):
Integrator<GaugeField, SmearingPolicy>(grid,Par,Aset,Sm) {};
void step (GaugeField& U, int level,int _first, int _last){
@ -135,7 +138,8 @@ namespace Grid{
}
};
template<class GaugeField> class MinimumNorm2 : public Integrator<GaugeField> {
template<class GaugeField, class SmearingPolicy> class MinimumNorm2 :
public Integrator<GaugeField, SmearingPolicy> {
private:
const RealD lambda = 0.1931833275037836;
@ -143,7 +147,9 @@ namespace Grid{
MinimumNorm2(GridBase* grid,
IntegratorParameters Par,
ActionSet<GaugeField> & Aset): Integrator<GaugeField>(grid,Par,Aset) {};
ActionSet<GaugeField> & Aset,
SmearingPolicy& Sm):
Integrator<GaugeField, SmearingPolicy>(grid,Par,Aset,Sm) {};
void step (GaugeField& U, int level, int _first,int _last){
@ -191,7 +197,8 @@ namespace Grid{
};
template<class GaugeField> class ForceGradient : public Integrator<GaugeField> {
template<class GaugeField, class SmearingPolicy> class ForceGradient :
public Integrator<GaugeField, SmearingPolicy> {
private:
const RealD lambda = 1.0/6.0;;
const RealD chi = 1.0/72.0;
@ -202,7 +209,9 @@ namespace Grid{
// Looks like dH scales as dt^4. tested wilson/wilson 2 level.
ForceGradient(GridBase* grid,
IntegratorParameters Par,
ActionSet<GaugeField> & Aset): Integrator<GaugeField>(grid,Par,Aset) {};
ActionSet<GaugeField> & Aset,
SmearingPolicy &Sm):
Integrator<GaugeField, SmearingPolicy>(grid,Par,Aset, Sm) {};
void FG_update_P(GaugeField&U, int level,double fg_dt,double ep){

130
lib/qcd/smearing/APEsmearing.h Normal file
View File

@ -0,0 +1,130 @@
/*!
@brief Declaration of Smear_APE class for APE smearing
*/
#ifndef APE_SMEAR_
#define APE_SMEAR_
namespace Grid {
namespace QCD {
/*! @brief APE type smearing of link variables. */
template <class Gimpl>
class Smear_APE: public Smear<Gimpl>{
private:
const std::vector<double> rho;/*!< Array of weights */
//This member must be private - we do not want to control from outside
std::vector<double> set_rho(const double common_rho) const {
std::vector<double> res;
for(int mn=0; mn<Nd*Nd; ++mn) res.push_back(common_rho);
for(int mu=0; mu<Nd; ++mu) res[mu + mu*Nd] = 0.0;
return res;
}
public:
// Defines the gauge field types
INHERIT_GIMPL_TYPES(Gimpl)
// Constructors and destructors
Smear_APE(const std::vector<double>& rho_):rho(rho_){} // check vector size
Smear_APE(double rho_val):rho(set_rho(rho_val)){}
Smear_APE():rho(set_rho(1.0)){}
~Smear_APE(){}
///////////////////////////////////////////////////////////////////////////////
void smear(GaugeField& u_smr, const GaugeField& U)const{
GridBase *grid = U._grid;
GaugeLinkField Cup(grid), tmp_stpl(grid);
WilsonLoops<Gimpl> WL;
u_smr = zero;
for(int mu=0; mu<Nd; ++mu){
Cup = zero;
for(int nu=0; nu<Nd; ++nu){
if (nu != mu) {
// get the staple in direction mu, nu
WL.Staple(tmp_stpl, U, mu, nu); //nb staple conventions of IroIro and Grid differ by a dagger
Cup += tmp_stpl*rho[mu + Nd * nu];
}
}
// save the Cup link-field on the u_smr gauge-field
pokeLorentz(u_smr, adj(Cup), mu); // u_smr[mu] = Cup^dag see conventions for Staple
}
}
////////////////////////////////////////////////////////////////////////////////
void derivative(GaugeField& SigmaTerm,
const GaugeField& iLambda,
const GaugeField& U)const{
// Reference
// Morningstar, Peardon, Phys.Rev.D69,054501(2004)
// Equation 75
// Computing Sigma_mu, derivative of S[fat links] with respect to the thin links
// Output SigmaTerm
GridBase *grid = U._grid;
WilsonLoops<Gimpl> WL;
GaugeLinkField staple(grid), u_tmp(grid);
GaugeLinkField iLambda_mu(grid), iLambda_nu(grid);
GaugeLinkField U_mu(grid), U_nu(grid);
GaugeLinkField sh_field(grid), temp_Sigma(grid);
Real rho_munu, rho_numu;
for(int mu = 0; mu < Nd; ++mu){
U_mu = peekLorentz( U, mu);
iLambda_mu = peekLorentz(iLambda, mu);
for(int nu = 0; nu < Nd; ++nu){
if(nu==mu) continue;
U_nu = peekLorentz( U, nu);
iLambda_nu = peekLorentz(iLambda, nu);
rho_munu = rho[mu + Nd * nu];
rho_numu = rho[nu + Nd * mu];
WL.StapleUpper(staple, U, mu, nu);
temp_Sigma = -rho_numu*staple*iLambda_nu; //ok
//-r_numu*U_nu(x+mu)*Udag_mu(x+nu)*Udag_nu(x)*Lambda_nu(x)
Gimpl::AddGaugeLink(SigmaTerm, temp_Sigma, mu);
sh_field = Cshift(iLambda_nu, mu, 1);// general also for Gparity?
temp_Sigma = rho_numu*sh_field*staple; //ok
//r_numu*Lambda_nu(mu)*U_nu(x+mu)*Udag_mu(x+nu)*Udag_nu(x)
Gimpl::AddGaugeLink(SigmaTerm, temp_Sigma, mu);
sh_field = Cshift(iLambda_mu, nu, 1);
temp_Sigma = -rho_munu*staple*U_nu*sh_field*adj(U_nu); //ok
//-r_munu*U_nu(x+mu)*Udag_mu(x+nu)*Lambda_mu(x+nu)*Udag_nu(x)
Gimpl::AddGaugeLink(SigmaTerm, temp_Sigma, mu);
staple = zero;
sh_field = Cshift(U_nu, mu, 1);
temp_Sigma = -rho_munu*adj(sh_field)*adj(U_mu)*iLambda_mu*U_nu;
temp_Sigma += rho_numu*adj(sh_field)*adj(U_mu)*iLambda_nu*U_nu;
u_tmp = adj(U_nu)*iLambda_nu;
sh_field = Cshift(u_tmp, mu, 1);
temp_Sigma += -rho_numu*sh_field*adj(U_mu)*U_nu;
sh_field = Cshift(temp_Sigma, nu, -1);
Gimpl::AddGaugeLink(SigmaTerm, sh_field, mu);
}
}
}
};
}// namespace QCD
}//namespace Grid
#endif

17
lib/qcd/smearing/BaseSmearing.h Normal file
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@ -0,0 +1,17 @@
/*
@brief Declares base smearing class Smear
*/
#ifndef BASE_SMEAR_
#define BASE_SMEAR_
template <class Gimpl>
class Smear{
public:
INHERIT_GIMPL_TYPES(Gimpl) // inherits the types for the gauge fields
virtual ~Smear(){}
virtual void smear (GaugeField&,const GaugeField&)const = 0;
virtual void derivative(GaugeField&,
const GaugeField&,const GaugeField&) const = 0;
};
#endif

262
lib/qcd/smearing/GaugeConfiguration.h Normal file
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@ -0,0 +1,262 @@
/*!
@file GaugeConfiguration.h
@brief Declares the GaugeConfiguration class
*/
#ifndef GAUGE_CONFIG_
#define GAUGE_CONFIG_
namespace Grid {
namespace QCD {
/*!
@brief Smeared configuration container
It will behave like a configuration from the point of view of
the HMC update and integrators.
An "advanced configuration" object that can provide not only the
data to store the gauge configuration but also operations to manipulate
it, like smearing.
It stores a list of smeared configurations.
*/
template <class Gimpl>
class SmearedConfiguration {
public:
INHERIT_GIMPL_TYPES(Gimpl);
private:
const unsigned int smearingLevels;
Smear_Stout<Gimpl> StoutSmearing;
std::vector<GaugeField> SmearedSet;
// Member functions
//====================================================================
void fill_smearedSet(GaugeField& U) {
ThinLinks = &U; // attach the smearing routine to the field U
// check the pointer is not null
if (ThinLinks == NULL)
std::cout << GridLogError
<< "[SmearedConfiguration] Error in ThinLinks pointer\n";
if (smearingLevels > 0) {
std::cout << GridLogDebug
<< "[SmearedConfiguration] Filling SmearedSet\n";
GaugeField previous_u(ThinLinks->_grid);
previous_u = *ThinLinks;
for (int smearLvl = 0; smearLvl < smearingLevels; ++smearLvl) {
StoutSmearing.smear(SmearedSet[smearLvl], previous_u);
previous_u = SmearedSet[smearLvl];
// For debug purposes
RealD impl_plaq = WilsonLoops<Gimpl>::avgPlaquette(previous_u);
std::cout << GridLogDebug
<< "[SmearedConfiguration] Plaq: " << impl_plaq << std::endl;
}
}
}
//====================================================================
GaugeField AnalyticSmearedForce(const GaugeField& SigmaKPrime,
const GaugeField& GaugeK) const {
GridBase* grid = GaugeK._grid;
GaugeField C(grid), SigmaK(grid), iLambda(grid);
GaugeLinkField iLambda_mu(grid);
GaugeLinkField iQ(grid), e_iQ(grid);
GaugeLinkField SigmaKPrime_mu(grid);
GaugeLinkField GaugeKmu(grid), Cmu(grid);
StoutSmearing.BaseSmear(C, GaugeK);
SigmaK = zero;
iLambda = zero;
for (int mu = 0; mu < Nd; mu++) {
Cmu = peekLorentz(C, mu);
GaugeKmu = peekLorentz(GaugeK, mu);
SigmaKPrime_mu = peekLorentz(SigmaKPrime, mu);
iQ = Ta(Cmu * adj(GaugeKmu));
set_iLambda(iLambda_mu, e_iQ, iQ, SigmaKPrime_mu, GaugeKmu);
pokeLorentz(SigmaK, SigmaKPrime_mu * e_iQ + adj(Cmu) * iLambda_mu, mu);
pokeLorentz(iLambda, iLambda_mu, mu);
}
StoutSmearing.derivative(SigmaK, iLambda,
GaugeK); // derivative of SmearBase
return SigmaK;
}
/*! @brief Returns smeared configuration at level 'Level' */
const GaugeField& get_smeared_conf(int Level) const {
return SmearedSet[Level];
}
//====================================================================
void set_iLambda(GaugeLinkField& iLambda, GaugeLinkField& e_iQ,
const GaugeLinkField& iQ, const GaugeLinkField& Sigmap,
const GaugeLinkField& GaugeK) const {
GridBase* grid = iQ._grid;
GaugeLinkField iQ2(grid), iQ3(grid), B1(grid), B2(grid), USigmap(grid);
GaugeLinkField unity(grid);
unity = 1.0;
LatticeComplex u(grid), w(grid);
LatticeComplex f0(grid), f1(grid), f2(grid);
LatticeComplex xi0(grid), xi1(grid), tmp(grid);
LatticeComplex u2(grid), w2(grid), cosw(grid);
LatticeComplex emiu(grid), e2iu(grid), qt(grid), fden(grid);
LatticeComplex r01(grid), r11(grid), r21(grid), r02(grid), r12(grid);
LatticeComplex r22(grid), tr1(grid), tr2(grid);
LatticeComplex b10(grid), b11(grid), b12(grid), b20(grid), b21(grid),
b22(grid);
LatticeComplex LatticeUnitComplex(grid);
LatticeUnitComplex = 1.0;
// Exponential
iQ2 = iQ * iQ;
iQ3 = iQ * iQ2;
StoutSmearing.set_uw(u, w, iQ2, iQ3);
StoutSmearing.set_fj(f0, f1, f2, u, w);
e_iQ = f0 * unity + timesMinusI(f1) * iQ - f2 * iQ2;
// Getting B1, B2, Gamma and Lambda
// simplify this part, reduntant calculations in set_fj
xi0 = StoutSmearing.func_xi0(w);
xi1 = StoutSmearing.func_xi1(w);
u2 = u * u;
w2 = w * w;
cosw = cos(w);
emiu = cos(u) - timesI(sin(u));
e2iu = cos(2.0 * u) + timesI(sin(2.0 * u));
r01 = (2.0 * u + timesI(2.0 * (u2 - w2))) * e2iu +
emiu * ((16.0 * u * cosw + 2.0 * u * (3.0 * u2 + w2) * xi0) +
timesI(-8.0 * u2 * cosw + 2.0 * (9.0 * u2 + w2) * xi0));
r11 = (2.0 * LatticeUnitComplex + timesI(4.0 * u)) * e2iu +
emiu * ((-2.0 * cosw + (3.0 * u2 - w2) * xi0) +
timesI((2.0 * u * cosw + 6.0 * u * xi0)));
r21 =
2.0 * timesI(e2iu) + emiu * (-3.0 * u * xi0 + timesI(cosw - 3.0 * xi0));
r02 = -2.0 * e2iu +
emiu * (-8.0 * u2 * xi0 +
timesI(2.0 * u * (cosw + xi0 + 3.0 * u2 * xi1)));
r12 = emiu * (2.0 * u * xi0 + timesI(-cosw - xi0 + 3.0 * u2 * xi1));
r22 = emiu * (xi0 - timesI(3.0 * u * xi1));
fden = LatticeUnitComplex / (2.0 * (9.0 * u2 - w2) * (9.0 * u2 - w2));
b10 = 2.0 * u * r01 + (3.0 * u2 - w2) * r02 - (30.0 * u2 + 2.0 * w2) * f0;
b11 = 2.0 * u * r11 + (3.0 * u2 - w2) * r12 - (30.0 * u2 + 2.0 * w2) * f1;
b12 = 2.0 * u * r21 + (3.0 * u2 - w2) * r22 - (30.0 * u2 + 2.0 * w2) * f2;
b20 = r01 - (3.0 * u) * r02 - (24.0 * u) * f0;
b21 = r11 - (3.0 * u) * r12 - (24.0 * u) * f1;
b22 = r21 - (3.0 * u) * r22 - (24.0 * u) * f2;
b10 *= fden;
b11 *= fden;
b12 *= fden;
b20 *= fden;
b21 *= fden;
b22 *= fden;
B1 = b10 * unity + timesMinusI(b11) * iQ - b12 * iQ2;
B2 = b20 * unity + timesMinusI(b21) * iQ - b22 * iQ2;
USigmap = GaugeK * Sigmap;
tr1 = trace(USigmap * B1);
tr2 = trace(USigmap * B2);
GaugeLinkField QUS = iQ * USigmap;
GaugeLinkField USQ = USigmap * iQ;
GaugeLinkField iGamma = tr1 * iQ - timesI(tr2) * iQ2 +
timesI(f1) * USigmap + f2 * QUS + f2 * USQ;
iLambda = Ta(iGamma);
}
//====================================================================
public:
GaugeField*
ThinLinks; /*!< @brief Pointer to the thin
links configuration */
/*! @brief Standard constructor */
SmearedConfiguration(GridCartesian* UGrid, unsigned int Nsmear,
Smear_Stout<Gimpl>& Stout)
: smearingLevels(Nsmear), StoutSmearing(Stout), ThinLinks(NULL) {
for (unsigned int i = 0; i < smearingLevels; ++i)
SmearedSet.push_back(*(new GaugeField(UGrid)));
}
/*! For just thin links */
SmearedConfiguration()
: smearingLevels(0), StoutSmearing(), SmearedSet(), ThinLinks(NULL) {}
// attach the smeared routines to the thin links U and fill the smeared set
void set_GaugeField(GaugeField& U) { fill_smearedSet(U); }
//====================================================================
void smeared_force(GaugeField& SigmaTilde) const {
if (smearingLevels > 0) {
GaugeField force = SigmaTilde; // actually = U*SigmaTilde
GaugeLinkField tmp_mu(SigmaTilde._grid);
for (int mu = 0; mu < Nd; mu++) {
// to get just SigmaTilde
tmp_mu = adj(peekLorentz(SmearedSet[smearingLevels - 1], mu)) *
peekLorentz(force, mu);
pokeLorentz(force, tmp_mu, mu);
}
for (int ismr = smearingLevels - 1; ismr > 0; --ismr)
force = AnalyticSmearedForce(force, get_smeared_conf(ismr - 1));
force = AnalyticSmearedForce(force, *ThinLinks);
for (int mu = 0; mu < Nd; mu++) {
tmp_mu = peekLorentz(*ThinLinks, mu) * peekLorentz(force, mu);
pokeLorentz(SigmaTilde, tmp_mu, mu);
}
} // if smearingLevels = 0 do nothing
}
//====================================================================
GaugeField& get_SmearedU() { return SmearedSet[smearingLevels - 1]; }
GaugeField& get_U(bool smeared = false) {
// get the config, thin links by default
if (smeared) {
if (smearingLevels) {
RealD impl_plaq =
WilsonLoops<Gimpl>::avgPlaquette(SmearedSet[smearingLevels - 1]);
std::cout << GridLogDebug << "getting Usmr Plaq: " << impl_plaq
<< std::endl;
return get_SmearedU();
} else {
RealD impl_plaq = WilsonLoops<Gimpl>::avgPlaquette(*ThinLinks);
std::cout << GridLogDebug << "getting Thin Plaq: " << impl_plaq
<< std::endl;
return *ThinLinks;
}
} else {
RealD impl_plaq = WilsonLoops<Gimpl>::avgPlaquette(*ThinLinks);
std::cout << GridLogDebug << "getting Thin Plaq: " << impl_plaq
<< std::endl;
return *ThinLinks;
}
}
};
}
}
#endif

9
lib/qcd/smearing/Smearing.h Normal file
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@ -0,0 +1,9 @@
#ifndef GRID_QCD_SMEARING_H
#define GRID_QCD_SMEARING_H
#include <qcd/smearing/BaseSmearing.h>
#include <qcd/smearing/APEsmearing.h>
#include <qcd/smearing/StoutSmearing.h>
#include <qcd/smearing/GaugeConfiguration.h>
#endif

160
lib/qcd/smearing/StoutSmearing.h Normal file
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@ -0,0 +1,160 @@
/*
@file stoutSmear.hpp
@brief Declares Stout smearing class
*/
#ifndef STOUT_SMEAR_
#define STOUT_SMEAR_
namespace Grid {
namespace QCD {
/*! @brief Stout smearing of link variable. */
template <class Gimpl>
class Smear_Stout : public Smear<Gimpl> {
private:
const Smear<Gimpl>* SmearBase;
public:
INHERIT_GIMPL_TYPES(Gimpl)
Smear_Stout(Smear<Gimpl>* base) : SmearBase(base) {
static_assert(Nc == 3,
"Stout smearing currently implemented only for Nc==3");
}
/*! Default constructor */
Smear_Stout(double rho = 1.0) : SmearBase(new Smear_APE<Gimpl>(rho)) {
static_assert(Nc == 3,
"Stout smearing currently implemented only for Nc==3");
}
~Smear_Stout() {} // delete SmearBase...
void smear(GaugeField& u_smr, const GaugeField& U) const {
GaugeField C(U._grid);
GaugeLinkField tmp(U._grid), iq_mu(U._grid), Umu(U._grid);
std::cout << GridLogDebug << "Stout smearing started\n";
// Smear the configurations
SmearBase->smear(C, U);
for (int mu = 0; mu < Nd; mu++) {
tmp = peekLorentz(C, mu);
Umu = peekLorentz(U, mu);
iq_mu = Ta(
tmp *
adj(Umu)); // iq_mu = Ta(Omega_mu) to match the signs with the paper
exponentiate_iQ(tmp, iq_mu);
pokeLorentz(u_smr, tmp * Umu, mu); // u_smr = exp(iQ_mu)*U_mu
}
std::cout << GridLogDebug << "Stout smearing completed\n";
};
void derivative(GaugeField& SigmaTerm, const GaugeField& iLambda,
const GaugeField& Gauge) const {
SmearBase->derivative(SigmaTerm, iLambda, Gauge);
};
void BaseSmear(GaugeField& C, const GaugeField& U) const {
SmearBase->smear(C, U);
};
void exponentiate_iQ(GaugeLinkField& e_iQ, const GaugeLinkField& iQ) const {
// Put this outside
// only valid for SU(3) matrices
// only one Lorentz direction at a time
// notice that it actually computes
// exp ( input matrix )
// the i sign is coming from outside
// input matrix is anti-hermitian NOT hermitian
GridBase* grid = iQ._grid;
GaugeLinkField unity(grid);
unity = 1.0;
GaugeLinkField iQ2(grid), iQ3(grid);
LatticeComplex u(grid), w(grid);
LatticeComplex f0(grid), f1(grid), f2(grid);
iQ2 = iQ * iQ;
iQ3 = iQ * iQ2;
set_uw(u, w, iQ2, iQ3);
set_fj(f0, f1, f2, u, w);
e_iQ = f0 * unity + timesMinusI(f1) * iQ - f2 * iQ2;
};
void set_uw(LatticeComplex& u, LatticeComplex& w, GaugeLinkField& iQ2,
GaugeLinkField& iQ3) const {
Complex one_over_three = 1.0 / 3.0;
Complex one_over_two = 1.0 / 2.0;
GridBase* grid = u._grid;
LatticeComplex c0(grid), c1(grid), tmp(grid), c0max(grid), theta(grid);
// sign in c0 from the conventions on the Ta
c0 = -imag(trace(iQ3)) * one_over_three;
c1 = -real(trace(iQ2)) * one_over_two;
// Cayley Hamilton checks to machine precision, tested
tmp = c1 * one_over_three;
c0max = 2.0 * pow(tmp, 1.5);
theta = acos(c0 / c0max) *
one_over_three; // divide by three here, now leave as it is
u = sqrt(tmp) * cos(theta);
w = sqrt(c1) * sin(theta);
}
void set_fj(LatticeComplex& f0, LatticeComplex& f1, LatticeComplex& f2,
const LatticeComplex& u, const LatticeComplex& w) const {
GridBase* grid = u._grid;
LatticeComplex xi0(grid), u2(grid), w2(grid), cosw(grid);
LatticeComplex fden(grid);
LatticeComplex h0(grid), h1(grid), h2(grid);
LatticeComplex e2iu(grid), emiu(grid), ixi0(grid), qt(grid);
LatticeComplex unity(grid);
unity = 1.0;
xi0 = func_xi0(w);
u2 = u * u;
w2 = w * w;
cosw = cos(w);
ixi0 = timesI(xi0);
emiu = cos(u) - timesI(sin(u));
e2iu = cos(2.0 * u) + timesI(sin(2.0 * u));
h0 = e2iu * (u2 - w2) +
emiu * ((8.0 * u2 * cosw) + (2.0 * u * (3.0 * u2 + w2) * ixi0));
h1 = e2iu * (2.0 * u) - emiu * ((2.0 * u * cosw) - (3.0 * u2 - w2) * ixi0);
h2 = e2iu - emiu * (cosw + (3.0 * u) * ixi0);
fden = unity / (9.0 * u2 - w2); // reals
f0 = h0 * fden;
f1 = h1 * fden;
f2 = h2 * fden;
}
LatticeComplex func_xi0(const LatticeComplex& w) const {
// Define a function to do the check
// if( w < 1e-4 ) std::cout << GridLogWarning<< "[Smear_stout] w too small:
// "<< w <<"\n";
return sin(w) / w;
}
LatticeComplex func_xi1(const LatticeComplex& w) const {
// Define a function to do the check
// if( w < 1e-4 ) std::cout << GridLogWarning << "[Smear_stout] w too small:
// "<< w <<"\n";
return cos(w) / (w * w) - sin(w) / (w * w * w);
}
};
}
}
#endif

47
lib/qcd/utils/SUn.h
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@ -43,7 +43,7 @@ public:
template<typename vtype> using iSUnMatrix = iScalar<iScalar<iMatrix<vtype, ncolour> > > ;
template<typename vtype> using iSU2Matrix = iScalar<iScalar<iMatrix<vtype, 2> > > ;
//////////////////////////////////////////////////////////////////////////////////////////////////
// Types can be accessed as SU<2>::Matrix , SU<2>::vSUnMatrix, SU<2>::LatticeMatrix etc...
//////////////////////////////////////////////////////////////////////////////////////////////////
@ -552,15 +552,24 @@ Note that in step D setting B ~ X - A and using B in place of A in step E will g
}
// reunitarise??
static void LieRandomize(GridParallelRNG &pRNG,LatticeMatrix &out,double scale=1.0){
template<typename LatticeMatrixType>
static void LieRandomize(GridParallelRNG &pRNG,LatticeMatrixType &out,double scale=1.0){
GridBase *grid = out._grid;
LatticeComplex ca (grid);
LatticeMatrix lie(grid);
LatticeMatrix la (grid);
Complex ci(0.0,scale);
Complex cone(1.0,0.0);
Matrix ta;
typedef typename LatticeMatrixType::vector_type vector_type;
typedef typename LatticeMatrixType::scalar_type scalar_type;
typedef iSinglet<vector_type> vTComplexType;
typedef Lattice<vTComplexType> LatticeComplexType;
typedef typename GridTypeMapper<typename LatticeMatrixType::vector_object>::scalar_object MatrixType;
LatticeComplexType ca (grid);
LatticeMatrixType lie(grid);
LatticeMatrixType la (grid);
ComplexD ci(0.0,scale);
ComplexD cone(1.0,0.0);
MatrixType ta;
lie=zero;
for(int a=0;a<generators();a++){
@ -596,9 +605,13 @@ Note that in step D setting B ~ X - A and using B in place of A in step E will g
}
static void HotConfiguration(GridParallelRNG &pRNG,LatticeGaugeField &out){
LatticeMatrix Umu(out._grid);
template<typename GaugeField>
static void HotConfiguration(GridParallelRNG &pRNG,GaugeField &out){
typedef typename GaugeField::vector_type vector_type;
typedef iSUnMatrix<vector_type> vMatrixType;
typedef Lattice<vMatrixType> LatticeMatrixType;
LatticeMatrixType Umu(out._grid);
for(int mu=0;mu<Nd;mu++){
LieRandomize(pRNG,Umu,1.0);
PokeIndex<LorentzIndex>(out,Umu,mu);
@ -622,13 +635,15 @@ Note that in step D setting B ~ X - A and using B in place of A in step E will g
static void taProj( const LatticeMatrix &in, LatticeMatrix &out){
out = Ta(in);
}
static void taExp( const LatticeMatrix &x, LatticeMatrix &ex){
LatticeMatrix xn(x._grid);
template<typename LatticeMatrixType>
static void taExp( const LatticeMatrixType &x, LatticeMatrixType &ex){
typedef typename LatticeMatrixType::scalar_type ComplexType;
LatticeMatrixType xn(x._grid);
RealD nfac = 1.0;
xn = x;
ex =xn+Complex(1.0); // 1+x
ex =xn+ComplexType(1.0); // 1+x
// Do a 12th order exponentiation
for(int i=2; i <= 12; ++i)

592
lib/qcd/utils/WilsonLoops.h
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@ -1,6 +1,6 @@
/*************************************************************************************
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/qcd/utils/WilsonLoops.h
@ -25,391 +25,501 @@ Author: paboyle <paboyle@ph.ed.ac.uk>
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 */
See the full license in the file "LICENSE" in the top level distribution
directory
*************************************************************************************/
/* END LEGAL */
#ifndef QCD_UTILS_WILSON_LOOPS_H
#define QCD_UTILS_WILSON_LOOPS_H
namespace Grid {
namespace QCD {
// Common wilson loop observables
template<class Gimpl>
class WilsonLoops : public Gimpl {
template <class Gimpl> class WilsonLoops : public Gimpl {
public:
INHERIT_GIMPL_TYPES(Gimpl);
typedef typename Gimpl::GaugeLinkField GaugeMat;
typedef typename Gimpl::GaugeField GaugeLorentz;
typedef typename Gimpl::GaugeField GaugeLorentz;
//////////////////////////////////////////////////
// directed plaquette oriented in mu,nu plane
//////////////////////////////////////////////////
static void dirPlaquette(GaugeMat &plaq,const std::vector<GaugeMat> &U, const int mu, const int nu)
{
// Annoyingly, must use either scope resolution to find dependent base class,
// or this-> ; there is no "this" in a static method. This forces explicit Gimpl scope
// resolution throughout the usage in this file, and rather defeats the purpose of deriving
static void dirPlaquette(GaugeMat &plaq, const std::vector<GaugeMat> &U,
const int mu, const int nu) {
// Annoyingly, must use either scope resolution to find dependent base
// class,
// or this-> ; there is no "this" in a static method. This forces explicit
// Gimpl scope
// resolution throughout the usage in this file, and rather defeats the
// purpose of deriving
// from Gimpl.
plaq= Gimpl::CovShiftBackward(U[mu],mu,
Gimpl::CovShiftBackward(U[nu],nu,
Gimpl::CovShiftForward (U[mu],mu,U[nu])));
plaq = Gimpl::CovShiftBackward(
U[mu], mu, Gimpl::CovShiftBackward(
U[nu], nu, Gimpl::CovShiftForward(U[mu], mu, U[nu])));
}
//////////////////////////////////////////////////
// trace of directed plaquette oriented in mu,nu plane
//////////////////////////////////////////////////
static void traceDirPlaquette(LatticeComplex &plaq, const std::vector<GaugeMat> &U, const int mu, const int nu)
{
static void traceDirPlaquette(LatticeComplex &plaq,
const std::vector<GaugeMat> &U, const int mu,
const int nu) {
GaugeMat sp(U[0]._grid);
dirPlaquette(sp,U,mu,nu);
plaq=trace(sp);
dirPlaquette(sp, U, mu, nu);
plaq = trace(sp);
}
//////////////////////////////////////////////////
// sum over all planes of plaquette
//////////////////////////////////////////////////
static void sitePlaquette(LatticeComplex &Plaq,const std::vector<GaugeMat> &U)
{
static void sitePlaquette(LatticeComplex &Plaq,
const std::vector<GaugeMat> &U) {
LatticeComplex sitePlaq(U[0]._grid);
Plaq=zero;
for(int mu=1;mu<Nd;mu++){
for(int nu=0;nu<mu;nu++){
traceDirPlaquette(sitePlaq,U,mu,nu);
Plaq = Plaq + sitePlaq;
Plaq = zero;
for (int mu = 1; mu < Nd; mu++) {
for (int nu = 0; nu < mu; nu++) {
traceDirPlaquette(sitePlaq, U, mu, nu);
Plaq = Plaq + sitePlaq;
}
}
}
//////////////////////////////////////////////////
// sum over all x,y,z,t and over all planes of plaquette
//////////////////////////////////////////////////
static RealD sumPlaquette(const GaugeLorentz &Umu){
std::vector<GaugeMat> U(Nd,Umu._grid);
static RealD sumPlaquette(const GaugeLorentz &Umu) {
std::vector<GaugeMat> U(4, Umu._grid);
for(int mu=0;mu<Nd;mu++){
U[mu] = PeekIndex<LorentzIndex>(Umu,mu);
for (int mu = 0; mu < Nd; mu++) {
U[mu] = PeekIndex<LorentzIndex>(Umu, mu);
}
LatticeComplex Plaq(Umu._grid);
sitePlaquette(Plaq,U);
sitePlaquette(Plaq, U);
TComplex Tp = sum(Plaq);
Complex p = TensorRemove(Tp);
Complex p = TensorRemove(Tp);
return p.real();
}
//////////////////////////////////////////////////
// average over all x,y,z,t and over all planes of plaquette
//////////////////////////////////////////////////
static RealD avgPlaquette(const GaugeLorentz &Umu){
static RealD avgPlaquette(const GaugeLorentz &Umu) {
RealD sumplaq = sumPlaquette(Umu);
double vol = Umu._grid->gSites();
double faces = (1.0*Nd*(Nd-1))/2.0;
return sumplaq/vol/faces/Nc; // Nd , Nc dependent... FIXME
double faces = (1.0 * Nd * (Nd - 1)) / 2.0;
return sumplaq / vol / faces / Nc; // Nd , Nc dependent... FIXME
}
static RealD linkTrace(const GaugeLorentz &Umu){
std::vector<GaugeMat> U(Nd,Umu._grid);
LatticeComplex Tr(Umu._grid); Tr=zero;
for(int mu=0;mu<Nd;mu++){
U[mu] = PeekIndex<LorentzIndex>(Umu,mu);
Tr = Tr+trace(U[mu]);
//////////////////////////////////////////////////
// average over traced single links
//////////////////////////////////////////////////
static RealD linkTrace(const GaugeLorentz &Umu) {
std::vector<GaugeMat> U(4, Umu._grid);
LatticeComplex Tr(Umu._grid);
Tr = zero;
for (int mu = 0; mu < Nd; mu++) {
U[mu] = PeekIndex<LorentzIndex>(Umu, mu);
Tr = Tr + trace(U[mu]);
}
TComplex Tp = sum(Tr);
Complex p = TensorRemove(Tp);
Complex p = TensorRemove(Tp);
double vol = Umu._grid->gSites();
return p.real()/vol/((double)(Nd*(Nd-1)));
return p.real() / vol / 4.0 / 3.0;
};
//////////////////////////////////////////////////
// the sum over all staples on each site
// the sum over all staples on each site in direction mu,nu
//////////////////////////////////////////////////
static void Staple(GaugeMat &staple,const GaugeLorentz &Umu,int mu){
static void Staple(GaugeMat &staple, const GaugeLorentz &Umu, int mu,
int nu) {
GridBase *grid = Umu._grid;
std::vector<GaugeMat> U(Nd,grid);
for(int d=0;d<Nd;d++){
U[d] = PeekIndex<LorentzIndex>(Umu,d);
std::vector<GaugeMat> U(4, grid);
for (int d = 0; d < Nd; d++) {
U[d] = PeekIndex<LorentzIndex>(Umu, d);
}
staple = zero;
GaugeMat tmp(grid);
for(int nu=0;nu<Nd;nu++){
if(nu != mu) {
if (nu != mu) {
// mu
// ^
// |__> nu
// __
// __
// |
// __|
//
staple+=Gimpl::ShiftStaple(
Gimpl::CovShiftForward (U[nu],nu,
Gimpl::CovShiftBackward(U[mu],mu,
Gimpl::CovShiftIdentityBackward(U[nu],nu))),mu);
staple += Gimpl::ShiftStaple(
Gimpl::CovShiftForward(
U[nu], nu,
Gimpl::CovShiftBackward(
U[mu], mu, Gimpl::CovShiftIdentityBackward(U[nu], nu))),
mu);
// __
// |
// |__
// __
// |
// |__
//
//
staple+=Gimpl::ShiftStaple(
Gimpl::CovShiftBackward(U[nu],nu,
Gimpl::CovShiftBackward(U[mu],mu,U[nu])),mu);
staple += Gimpl::ShiftStaple(
Gimpl::CovShiftBackward(U[nu], nu,
Gimpl::CovShiftBackward(U[mu], mu, U[nu])),
mu);
}
}
//////////////////////////////////////////////////
// the sum over all staples on each site
//////////////////////////////////////////////////
static void Staple(GaugeMat &staple, const GaugeLorentz &Umu, int mu) {
GridBase *grid = Umu._grid;
std::vector<GaugeMat> U(Nd, grid);
for (int d = 0; d < Nd; d++) {
U[d] = PeekIndex<LorentzIndex>(Umu, d);
}
staple = zero;
GaugeMat tmp(grid);
for (int nu = 0; nu < Nd; nu++) {
if (nu != mu) {
// mu
// ^
// |__> nu
// __
// |
// __|
//
staple += Gimpl::ShiftStaple(
Gimpl::CovShiftForward(
U[nu], nu,
Gimpl::CovShiftBackward(
U[mu], mu, Gimpl::CovShiftIdentityBackward(U[nu], nu))),
mu);
// __
// |
// |__
//
//
staple += Gimpl::ShiftStaple(
Gimpl::CovShiftBackward(U[nu], nu,
Gimpl::CovShiftBackward(U[mu], mu, U[nu])),
mu);
}
}
}
//////////////////////////////////////////////////
// the sum over all staples on each site in direction mu,nu, upper part
//////////////////////////////////////////////////
static void StapleUpper(GaugeMat &staple, const GaugeLorentz &Umu, int mu,
int nu) {
staple = zero;
if (nu != mu) {
GridBase *grid = Umu._grid;
std::vector<GaugeMat> U(4, grid);
for (int d = 0; d < Nd; d++) {
U[d] = PeekIndex<LorentzIndex>(Umu, d);
}
// mu
// ^
// |__> nu
// __
// |
// __|
//
staple += Gimpl::ShiftStaple(
Gimpl::CovShiftForward(
U[nu], nu,
Gimpl::CovShiftBackward(
U[mu], mu, Gimpl::CovShiftIdentityBackward(U[nu], nu))),
mu);
}
}
//////////////////////////////////////////////////////
// Similar to above for rectangle is required
//////////////////////////////////////////////////////
static void dirRectangle(GaugeMat &rect,const std::vector<GaugeMat> &U, const int mu, const int nu)
{
rect = Gimpl::CovShiftForward(U[mu],mu,Gimpl::CovShiftForward(U[mu],mu,U[nu]))* // ->->|
adj(Gimpl::CovShiftForward(U[nu],nu,Gimpl::CovShiftForward(U[mu],mu,U[mu]))) ;
rect = rect +
Gimpl::CovShiftForward(U[mu],mu,Gimpl::CovShiftForward(U[nu],nu,U[nu]))* // ->||
adj(Gimpl::CovShiftForward(U[nu],nu,Gimpl::CovShiftForward(U[nu],nu,U[mu]))) ;
static void dirRectangle(GaugeMat &rect, const std::vector<GaugeMat> &U,
const int mu, const int nu) {
rect = Gimpl::CovShiftForward(
U[mu], mu, Gimpl::CovShiftForward(U[mu], mu, U[nu])) * // ->->|
adj(Gimpl::CovShiftForward(
U[nu], nu, Gimpl::CovShiftForward(U[mu], mu, U[mu])));
rect = rect +
Gimpl::CovShiftForward(
U[mu], mu, Gimpl::CovShiftForward(U[nu], nu, U[nu])) * // ->||
adj(Gimpl::CovShiftForward(
U[nu], nu, Gimpl::CovShiftForward(U[nu], nu, U[mu])));
}
static void traceDirRectangle(LatticeComplex &rect, const std::vector<GaugeMat> &U, const int mu, const int nu)
{
static void traceDirRectangle(LatticeComplex &rect,
const std::vector<GaugeMat> &U, const int mu,
const int nu) {
GaugeMat sp(U[0]._grid);
dirRectangle(sp,U,mu,nu);
rect=trace(sp);
dirRectangle(sp, U, mu, nu);
rect = trace(sp);
}
static void siteRectangle(LatticeComplex &Rect,const std::vector<GaugeMat> &U)
{
static void siteRectangle(LatticeComplex &Rect,
const std::vector<GaugeMat> &U) {
LatticeComplex siteRect(U[0]._grid);
Rect=zero;
for(int mu=1;mu<Nd;mu++){
for(int nu=0;nu<mu;nu++){
traceDirRectangle(siteRect,U,mu,nu);
Rect = Rect + siteRect;
Rect = zero;
for (int mu = 1; mu < Nd; mu++) {
for (int nu = 0; nu < mu; nu++) {
traceDirRectangle(siteRect, U, mu, nu);
Rect = Rect + siteRect;
}
}
}
//////////////////////////////////////////////////
// sum over all x,y,z,t and over all planes of plaquette
//////////////////////////////////////////////////
static RealD sumRectangle(const GaugeLorentz &Umu){
std::vector<GaugeMat> U(Nd,Umu._grid);
static RealD sumRectangle(const GaugeLorentz &Umu) {
std::vector<GaugeMat> U(Nd, Umu._grid);
for(int mu=0;mu<Nd;mu++){
U[mu] = PeekIndex<LorentzIndex>(Umu,mu);
for (int mu = 0; mu < Nd; mu++) {
U[mu] = PeekIndex<LorentzIndex>(Umu, mu);
}
LatticeComplex Rect(Umu._grid);
siteRectangle(Rect,U);
siteRectangle(Rect, U);
TComplex Tp = sum(Rect);
Complex p = TensorRemove(Tp);
Complex p = TensorRemove(Tp);
return p.real();
}
//////////////////////////////////////////////////
// average over all x,y,z,t and over all planes of plaquette
//////////////////////////////////////////////////
static RealD avgRectangle(const GaugeLorentz &Umu){
static RealD avgRectangle(const GaugeLorentz &Umu) {
RealD sumrect = sumRectangle(Umu);
double vol = Umu._grid->gSites();
double faces = (1.0*Nd*(Nd-1)); // 2 distinct orientations summed
return sumrect/vol/faces/Nc; // Nd , Nc dependent... FIXME
double faces = (1.0 * Nd * (Nd - 1)); // 2 distinct orientations summed
return sumrect / vol / faces / Nc; // Nd , Nc dependent... FIXME
}
//////////////////////////////////////////////////
// the sum over all staples on each site
//////////////////////////////////////////////////
static void RectStapleDouble(GaugeMat &U2,const GaugeMat & U,int mu){
U2 = U * Cshift(U,mu,1);
static void RectStapleDouble(GaugeMat &U2, const GaugeMat &U, int mu) {
U2 = U * Cshift(U, mu, 1);
}
////////////////////////////////////////////////////////////////////////////
// Hop by two optimisation strategy does not work nicely with Gparity. (could do,
// Hop by two optimisation strategy does not work nicely with Gparity. (could
// do,
// but need to track two deep where cross boundary and apply a conjugation).
// Must differentiate this in Gimpl, and use Gimpl::isPeriodicGaugeField to do so .
// Must differentiate this in Gimpl, and use Gimpl::isPeriodicGaugeField to do
// so .
////////////////////////////////////////////////////////////////////////////
static void RectStapleOptimised(GaugeMat &Stap,std::vector<GaugeMat> &U2,std::vector<GaugeMat> &U,int mu){
static void RectStapleOptimised(GaugeMat &Stap, std::vector<GaugeMat> &U2,
std::vector<GaugeMat> &U, int mu) {
Stap = zero;
GridBase *grid = U[0]._grid;
GaugeMat Staple2x1 (grid);
GaugeMat tmp (grid);
GaugeMat Staple2x1(grid);
GaugeMat tmp(grid);
for(int nu=0;nu<Nd;nu++){
if ( nu!=mu) {
for (int nu = 0; nu < Nd; nu++) {
if (nu != mu) {
// Up staple ___ ___
// | |
tmp = Cshift(adj(U[nu]),nu,-1);
tmp = adj(U2[mu])*tmp;
tmp = Cshift(tmp,mu,-2);
// Up staple ___ ___
// | |
tmp = Cshift(adj(U[nu]), nu, -1);
tmp = adj(U2[mu]) * tmp;
tmp = Cshift(tmp, mu, -2);
Staple2x1 = Gimpl::CovShiftForward (U[nu],nu,tmp);
Staple2x1 = Gimpl::CovShiftForward(U[nu], nu, tmp);
// Down staple
// |___ ___|
//
tmp = adj(U2[mu]) * U[nu];
Staple2x1 += Gimpl::CovShiftBackward(U[nu], nu, Cshift(tmp, mu, -2));
// Down staple
// |___ ___|
//
tmp = adj(U2[mu])*U[nu];
Staple2x1+= Gimpl::CovShiftBackward(U[nu],nu,Cshift(tmp,mu,-2));
// ___ ___
// | ___|
// |___ ___|
//
Stap += Cshift(Gimpl::CovShiftForward(U[mu], mu, Staple2x1), mu, 1);
// ___ ___
// | ___|
// |___ ___|
//
// ___ ___
// |___ |
// |___ ___|
//
Stap+= Cshift(Gimpl::CovShiftForward (U[mu],mu,Staple2x1),mu,1);
// tmp= Staple2x1* Cshift(U[mu],mu,-2);
// Stap+= Cshift(tmp,mu,1) ;
Stap += Cshift(Staple2x1, mu, 1) * Cshift(U[mu], mu, -1);
;
// ___ ___
// |___ |
// |___ ___|
//
// --
// | |
//
// | |
// tmp= Staple2x1* Cshift(U[mu],mu,-2);
// Stap+= Cshift(tmp,mu,1) ;
Stap+= Cshift(Staple2x1,mu,1)*Cshift(U[mu],mu,-1); ;
tmp = Cshift(adj(U2[nu]), nu, -2);
tmp = Gimpl::CovShiftBackward(U[mu], mu, tmp);
tmp = U2[nu] * Cshift(tmp, nu, 2);
Stap += Cshift(tmp, mu, 1);
// --
// | |
//
// | |
tmp = Cshift(adj(U2[nu]),nu,-2);
tmp = Gimpl::CovShiftBackward(U[mu],mu,tmp);
tmp = U2[nu]*Cshift(tmp,nu,2);
Stap+= Cshift(tmp, mu, 1);
// | |
//
// | |
// --
// | |
//
// | |
// --
tmp = Gimpl::CovShiftBackward(U[mu],mu,U2[nu]);
tmp = adj(U2[nu])*tmp;
tmp = Cshift(tmp,nu,-2);
Stap+=Cshift(tmp, mu, 1);
}}
}
static void RectStaple(GaugeMat &Stap,const GaugeLorentz & Umu,int mu)
{
RectStapleUnoptimised(Stap,Umu,mu);
}
static void RectStaple(const GaugeLorentz & Umu,GaugeMat &Stap,
std::vector<GaugeMat> &U2,
std::vector<GaugeMat> &U, int mu)
{
if ( Gimpl::isPeriodicGaugeField() ){
RectStapleOptimised(Stap,U2,U,mu);
} else {
RectStapleUnoptimised(Stap,Umu,mu);
tmp = Gimpl::CovShiftBackward(U[mu], mu, U2[nu]);
tmp = adj(U2[nu]) * tmp;
tmp = Cshift(tmp, nu, -2);
Stap += Cshift(tmp, mu, 1);
}
}
}
static void RectStapleUnoptimised(GaugeMat &Stap,const GaugeLorentz &Umu,int mu){
static void RectStaple(GaugeMat &Stap, const GaugeLorentz &Umu, int mu) {
RectStapleUnoptimised(Stap, Umu, mu);
}
static void RectStaple(const GaugeLorentz &Umu, GaugeMat &Stap,
std::vector<GaugeMat> &U2, std::vector<GaugeMat> &U,
int mu) {
if (Gimpl::isPeriodicGaugeField()) {
RectStapleOptimised(Stap, U2, U, mu);
} else {
RectStapleUnoptimised(Stap, Umu, mu);
}
}
static void RectStapleUnoptimised(GaugeMat &Stap, const GaugeLorentz &Umu,
int mu) {
GridBase *grid = Umu._grid;
std::vector<GaugeMat> U(Nd,grid);
for(int d=0;d<Nd;d++){
U[d] = PeekIndex<LorentzIndex>(Umu,d);
std::vector<GaugeMat> U(Nd, grid);
for (int d = 0; d < Nd; d++) {
U[d] = PeekIndex<LorentzIndex>(Umu, d);
}
Stap=zero;
Stap = zero;
for(int nu=0;nu<Nd;nu++){
if ( nu!=mu) {
// __ ___
// | __ |
//
Stap+= Gimpl::ShiftStaple(
Gimpl::CovShiftForward (U[mu],mu,
Gimpl::CovShiftForward (U[nu],nu,
Gimpl::CovShiftBackward(U[mu],mu,
Gimpl::CovShiftBackward(U[mu],mu,
Gimpl::CovShiftIdentityBackward(U[nu],nu))))) , mu);
for (int nu = 0; nu < Nd; nu++) {
if (nu != mu) {
// __ ___
// | __ |
//
Stap += Gimpl::ShiftStaple(
Gimpl::CovShiftForward(
U[mu], mu,
Gimpl::CovShiftForward(
U[nu], nu,
Gimpl::CovShiftBackward(
U[mu], mu,
Gimpl::CovShiftBackward(
U[mu], mu,
Gimpl::CovShiftIdentityBackward(U[nu], nu))))),
mu);
// __
// |__ __ |
// __
// |__ __ |
Stap+= Gimpl::ShiftStaple(
Gimpl::CovShiftForward (U[mu],mu,
Gimpl::CovShiftBackward(U[nu],nu,
Gimpl::CovShiftBackward(U[mu],mu,
Gimpl::CovShiftBackward(U[mu],mu, U[nu])))) , mu);
Stap += Gimpl::ShiftStaple(
Gimpl::CovShiftForward(
U[mu], mu,
Gimpl::CovShiftBackward(
U[nu], nu,
Gimpl::CovShiftBackward(
U[mu], mu, Gimpl::CovShiftBackward(U[mu], mu, U[nu])))),
mu);
// __
// |__ __ |
// __
// |__ __ |
Stap+= Gimpl::ShiftStaple(
Gimpl::CovShiftBackward(U[nu],nu,
Gimpl::CovShiftBackward(U[mu],mu,
Gimpl::CovShiftBackward(U[mu],mu,
Gimpl::CovShiftForward(U[nu],nu,U[mu])))) , mu);
Stap += Gimpl::ShiftStaple(
Gimpl::CovShiftBackward(
U[nu], nu,
Gimpl::CovShiftBackward(
U[mu], mu,
Gimpl::CovShiftBackward(
U[mu], mu, Gimpl::CovShiftForward(U[nu], nu, U[mu])))),
mu);
// __ ___
// |__ |
// __ ___
// |__ |
Stap+= Gimpl::ShiftStaple(
Gimpl::CovShiftForward (U[nu],nu,
Gimpl::CovShiftBackward(U[mu],mu,
Gimpl::CovShiftBackward(U[mu],mu,
Gimpl::CovShiftBackward(U[nu],nu,U[mu])))) , mu);
Stap += Gimpl::ShiftStaple(
Gimpl::CovShiftForward(
U[nu], nu,
Gimpl::CovShiftBackward(
U[mu], mu,
Gimpl::CovShiftBackward(
U[mu], mu, Gimpl::CovShiftBackward(U[nu], nu, U[mu])))),
mu);
// --
// | |
//
// | |
Stap+= Gimpl::ShiftStaple(
Gimpl::CovShiftForward(U[nu],nu,
Gimpl::CovShiftForward(U[nu],nu,
Gimpl::CovShiftBackward(U[mu],mu,
Gimpl::CovShiftBackward(U[nu],nu,
Gimpl::CovShiftIdentityBackward(U[nu],nu))))) , mu);
// --
// | |
//
// | |
Stap += Gimpl::ShiftStaple(
Gimpl::CovShiftForward(
U[nu], nu,
Gimpl::CovShiftForward(
U[nu], nu,
Gimpl::CovShiftBackward(
U[mu], mu,
Gimpl::CovShiftBackward(
U[nu], nu,
Gimpl::CovShiftIdentityBackward(U[nu], nu))))),
mu);
// | |
//
// | |
// --
Stap+= Gimpl::ShiftStaple(
Gimpl::CovShiftBackward(U[nu],nu,
Gimpl::CovShiftBackward(U[nu],nu,
Gimpl::CovShiftBackward(U[mu],mu,
Gimpl::CovShiftForward (U[nu],nu,U[nu])))) , mu);
}}
// | |
//
// | |
// --
Stap += Gimpl::ShiftStaple(
Gimpl::CovShiftBackward(
U[nu], nu,
Gimpl::CovShiftBackward(
U[nu], nu,
Gimpl::CovShiftBackward(
U[mu], mu, Gimpl::CovShiftForward(U[nu], nu, U[nu])))),
mu);
}
}
}
};
typedef WilsonLoops<PeriodicGimplR> ColourWilsonLoops;
typedef WilsonLoops<PeriodicGimplR> U1WilsonLoops;
typedef WilsonLoops<PeriodicGimplR> SU2WilsonLoops;
typedef WilsonLoops<PeriodicGimplR> SU3WilsonLoops;
}
}
typedef WilsonLoops<PeriodicGimplR> ColourWilsonLoops;
typedef WilsonLoops<PeriodicGimplR> U1WilsonLoops;
typedef WilsonLoops<PeriodicGimplR> SU2WilsonLoops;
typedef WilsonLoops<PeriodicGimplR> SU3WilsonLoops;
}}
#endif
#endif