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Added laplacian operator for smearing sources

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This commit is contained in:
Guido Cossu
2017-10-04 13:54:54 +01:00
parent d54807b8c0
commit f605230bbb
11 changed files with 757 additions and 200 deletions
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lib/qcd/utils/CovariantAdjointLaplacian.h Normal file
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/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/qcd/action/scalar/CovariantAdjointLaplacian.h
Copyright (C) 2016
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 COVARIANT_ADJOINT_LAPLACIAN_H
#define COVARIANT_ADJOINT_LAPLACIAN_H
namespace Grid
{
namespace QCD
{
struct LaplacianParams : Serializable
{
GRID_SERIALIZABLE_CLASS_MEMBERS(LaplacianParams,
RealD, lo,
RealD, hi,
int, MaxIter,
RealD, tolerance,
int, degree,
int, precision);
// constructor
LaplacianParams(RealD lo = 0.0,
RealD hi = 1.0,
int maxit = 1000,
RealD tol = 1.0e-8,
int degree = 10,
int precision = 64)
: lo(lo),
hi(hi),
MaxIter(maxit),
tolerance(tol),
degree(degree),
precision(precision){};
};
////////////////////////////////////////////////////////////
// Laplacian operator L on adjoint fields
//
// phi: adjoint field
// L: D_mu^dag D_mu
//
// L phi(x) = Sum_mu [ U_mu(x)phi(x+mu)U_mu(x)^dag +
// U_mu(x-mu)^dag phi(x-mu)U_mu(x-mu)
// -2phi(x)]
//
// Operator designed to be encapsulated by
// an HermitianLinearOperator<.. , ..>
////////////////////////////////////////////////////////////
template <class Impl>
class LaplacianAdjointField : public Metric<typename Impl::Field>
{
OperatorFunction<typename Impl::Field> &Solver;
LaplacianParams param;
MultiShiftFunction PowerHalf;
MultiShiftFunction PowerInvHalf;
public:
INHERIT_GIMPL_TYPES(Impl);
LaplacianAdjointField(GridBase *grid, OperatorFunction<GaugeField> &S, LaplacianParams &p, const RealD k = 1.0)
: U(Nd, grid), Solver(S), param(p), kappa(k)
{
AlgRemez remez(param.lo, param.hi, param.precision);
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);
PowerInvHalf.Init(remez, param.tolerance, true);
};
void Mdir(const GaugeField &, GaugeField &, int, int) { assert(0); }
void Mdiag(const GaugeField &, GaugeField &) { assert(0); }
void ImportGauge(const GaugeField &_U)
{
for (int mu = 0; mu < Nd; mu++)
{
U[mu] = PeekIndex<LorentzIndex>(_U, mu);
}
}
void M(const GaugeField &in, GaugeField &out)
{
// in is an antihermitian matrix
// test
//GaugeField herm = in + adj(in);
//std::cout << "AHermiticity: " << norm2(herm) << std::endl;
GaugeLinkField tmp(in._grid);
GaugeLinkField tmp2(in._grid);
GaugeLinkField sum(in._grid);
for (int nu = 0; nu < Nd; nu++)
{
sum = zero;
GaugeLinkField in_nu = PeekIndex<LorentzIndex>(in, nu);
GaugeLinkField out_nu(out._grid);
for (int mu = 0; mu < Nd; mu++)
{
tmp = U[mu] * Cshift(in_nu, mu, +1) * adj(U[mu]);
tmp2 = adj(U[mu]) * in_nu * U[mu];
sum += tmp + Cshift(tmp2, mu, -1) - 2.0 * in_nu;
}
out_nu = (1.0 - kappa) * in_nu - kappa / (double(4 * Nd)) * sum;
PokeIndex<LorentzIndex>(out, out_nu, nu);
}
}
void MDeriv(const GaugeField &in, GaugeField &der)
{
// in is anti-hermitian
RealD factor = -kappa / (double(4 * Nd));
for (int mu = 0; mu < Nd; mu++)
{
GaugeLinkField der_mu(der._grid);
der_mu = zero;
for (int nu = 0; nu < Nd; nu++)
{
GaugeLinkField in_nu = PeekIndex<LorentzIndex>(in, nu);
der_mu += U[mu] * Cshift(in_nu, mu, 1) * adj(U[mu]) * in_nu;
}
// the minus sign comes by using the in_nu instead of the
// adjoint in the last multiplication
PokeIndex<LorentzIndex>(der, -2.0 * factor * der_mu, mu);
}
}
// separating this temporarily
void MDeriv(const GaugeField &left, const GaugeField &right,
GaugeField &der)
{
// in is anti-hermitian
RealD factor = -kappa / (double(4 * Nd));
for (int mu = 0; mu < Nd; mu++)
{
GaugeLinkField der_mu(der._grid);
der_mu = zero;
for (int nu = 0; nu < Nd; nu++)
{
GaugeLinkField left_nu = PeekIndex<LorentzIndex>(left, nu);
GaugeLinkField right_nu = PeekIndex<LorentzIndex>(right, nu);
der_mu += U[mu] * Cshift(left_nu, mu, 1) * adj(U[mu]) * right_nu;
der_mu += U[mu] * Cshift(right_nu, mu, 1) * adj(U[mu]) * left_nu;
}
PokeIndex<LorentzIndex>(der, -factor * der_mu, mu);
}
}
void Minv(const GaugeField &in, GaugeField &inverted)
{
HermitianLinearOperator<LaplacianAdjointField<Impl>, GaugeField> HermOp(*this);
Solver(HermOp, in, inverted);
}
void MSquareRoot(GaugeField &P)
{
GaugeField Gp(P._grid);
HermitianLinearOperator<LaplacianAdjointField<Impl>, GaugeField> HermOp(*this);
ConjugateGradientMultiShift<GaugeField> msCG(param.MaxIter, PowerHalf);
msCG(HermOp, P, Gp);
P = Gp;
}
void MInvSquareRoot(GaugeField &P)
{
GaugeField Gp(P._grid);
HermitianLinearOperator<LaplacianAdjointField<Impl>, GaugeField> HermOp(*this);
ConjugateGradientMultiShift<GaugeField> msCG(param.MaxIter, PowerInvHalf);
msCG(HermOp, P, Gp);
P = Gp;
}
private:
RealD kappa;
std::vector<GaugeLinkField> U;
};
} // QCD
} // Grid
#endif