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Adding metric and the implicit steps

This commit is contained in:
Guido Cossu
2017-02-21 11:30:57 +00:00
parent 97a6b61551
commit 902afcfbaf
8 changed files with 287 additions and 59 deletions

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lib/qcd/utils/Metric.h Normal file
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/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/qcd/hmc/integrators/Integrator.h
Copyright (C) 2015
Author: Guido Cossu <guido.cossu@ed.ac.uk>
This program is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License along
with this program; if not, write to the Free Software Foundation, Inc.,
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
See the full license in the file "LICENSE" in the top level distribution
directory
*************************************************************************************/
/* END LEGAL */
//--------------------------------------------------------------------
#ifndef METRIC_H
#define METRIC_H
namespace Grid{
namespace QCD{
template <typename Field>
class Metric{
public:
virtual void ImportGauge(const Field&) = 0;
virtual void M(const Field&, Field&) = 0;
virtual void Minv(const Field&, Field&) = 0;
virtual void MInvSquareRoot(Field&) = 0;
};
// Need a trivial operator
template <typename Field>
class TrivialMetric : public Metric<Field>{
public:
virtual void ImportGauge(const Field&){};
virtual void M(const Field& in, Field& out){
out = in;
}
virtual void Minv(const Field& in, Field& out){
out = in;
}
virtual void MInvSquareRoot(Field& P){
// do nothing
}
};
///////////////////////////////
// Generalised momenta
///////////////////////////////
template <typename Implementation, typename Metric>
class GeneralisedMomenta{
public:
typedef typename Implementation::Field MomentaField; //for readability
Metric M;
MomentaField Mom;
GeneralisedMomenta(GridBase* grid): Mom(grid){}
void MomentaDistribution(GridParallelRNG& pRNG){
// Generate a distribution for
// 1/2 P^dag G P
// where G = M^-1
// Generate gaussian momenta
Implementation::generate_momenta(Mom, pRNG);
// Modify the distribution with the metric
M.MInvSquareRoot(Mom);
}
void Derivative(MomentaField& in, MomentaField& der){
// Compute the derivative of the kinetic term
// with respect to the gauge field
MomentaField MomDer(in._grid);
MomentaField X(in._grid);
M.Minv(in, X); // X = G in
M.MDeriv(X, MomDer, DaggerNo); // MomDer = dM/dU X
// MomDer is just the derivative
MomDer = adj(X)* MomDer;
// Traceless Antihermitian
// assuming we are in the algebra
der = Implementation::projectForce(MomDer);
}
void DerivativeP(MomentaField& der){
M.Minv(Mom, der);
}
};
}
}
#endif //METRIC_H