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Added and tested the covariant laplacian + CG solver

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This commit is contained in:
Guido Cossu
2017-02-13 15:05:01 +00:00
parent 9e72a6b22e
commit 08fdf05528
3 changed files with 147 additions and 1 deletions
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2
lib/qcd/action/Actions.h
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@@ -48,9 +48,9 @@ Author: paboyle <paboyle@ph.ed.ac.uk>
////////////////////////////////////////////
// Utility functions
////////////////////////////////////////////
//#include <Grid/qcd/action/gauge/GaugeImplTypes.h>
#include <Grid/qcd/action/gauge/GaugeImplementations.h>
#include <Grid/qcd/utils/WilsonLoops.h>
#include <Grid/qcd/utils/CovariantLaplacian.h>
#include <Grid/qcd/action/fermion/WilsonCompressor.h> //used by all wilson type fermions
#include <Grid/qcd/action/fermion/FermionOperatorImpl.h>

82
lib/qcd/utils/CovariantLaplacian.h Normal file
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@@ -0,0 +1,82 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/qcd/action/scalar/CovariantLaplacian.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_LAPLACIAN_H
#define COVARIANT_LAPLACIAN_H
namespace Grid {
namespace QCD {
template <class Impl>
class LaplacianAdjointField {
public:
INHERIT_GIMPL_TYPES(Impl);
typedef SU<Nc>::LatticeAlgebraVector AVector;
LaplacianAdjointField(GridBase* grid) : U(Nd, grid){};
void ImportGauge(const GaugeField& _U) {
for (int mu = 0; mu < Nd; mu++) {
U[mu] = PeekIndex<LorentzIndex>(_U, mu);
}
}
void Mdiag(const AVector& in, AVector& out) { assert(0); }
void Mdir(const AVector& in, AVector& out, int dir, int disp) { assert(0); }
void M(const AVector& in, AVector& out) {
double kappa = 0.99;
//Reconstruct matrix
GaugeLinkField tmp(in._grid);
GaugeLinkField tmp2(in._grid);
GaugeLinkField sum(in._grid);
GaugeLinkField out_mat(in._grid);
GaugeLinkField in_mat(in._grid);
SU<Nc>::FundamentalLieAlgebraMatrix(in, in_mat);
sum = zero;
for (int mu = 0; mu < Nd; mu++) {
tmp = U[mu] * Cshift(in_mat, mu, +1) * adj(U[mu]);
tmp2 = adj(U[mu]) * in_mat * U[mu];
sum += tmp + Cshift(tmp2, mu, -1) - 2.0 * in_mat;
}
out_mat = (1.0 - kappa) * in_mat - kappa/(double(4*Nd)) * sum;
// Project
SU<Nc>::projectOnAlgebra(out, out_mat);
}
private:
std::vector<GaugeLinkField> U;
};
}
}
#endif

64
tests/solver/Test_laplacian.cc Normal file
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@@ -0,0 +1,64 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./tests/Test_wilson_cg_prec.cc
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 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 */
#include <Grid/Grid.h>
using namespace std;
using namespace Grid;
using namespace Grid::QCD;
int main (int argc, char ** argv)
{
Grid_init(&argc,&argv);
std::vector<int> latt_size = GridDefaultLatt();
std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
std::vector<int> mpi_layout = GridDefaultMpi();
GridCartesian Grid(latt_size,simd_layout,mpi_layout);
GridRedBlackCartesian RBGrid(latt_size,simd_layout,mpi_layout);
std::vector<int> seeds({1,2,3,4,5});
GridParallelRNG pRNG(&Grid); pRNG.SeedFixedIntegers(seeds);
LatticeGaugeField Umu(&Grid);
SU<Nc>::HotConfiguration(pRNG,Umu);
typedef SU<Nc>::LatticeAlgebraVector AVector;
// Source and result in the algebra
AVector src(&Grid); random(pRNG,src);
AVector result(&Grid); result=zero;
LaplacianAdjointField<PeriodicGimplR> Laplacian(&Grid);
Laplacian.ImportGauge(Umu);
HermitianLinearOperator<LaplacianAdjointField<PeriodicGimplR>,AVector> HermOp(Laplacian);
ConjugateGradient<AVector> CG(1.0e-8,10000);
CG(HermOp,src,result);
Grid_finalize();
}