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Added and tested the covariant laplacian + CG solver
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@ -48,9 +48,9 @@ Author: paboyle <paboyle@ph.ed.ac.uk>
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////////////////////////////////////////////
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// Utility functions
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////////////////////////////////////////////
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//#include <Grid/qcd/action/gauge/GaugeImplTypes.h>
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#include <Grid/qcd/action/gauge/GaugeImplementations.h>
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#include <Grid/qcd/utils/WilsonLoops.h>
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#include <Grid/qcd/utils/CovariantLaplacian.h>
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#include <Grid/qcd/action/fermion/WilsonCompressor.h> //used by all wilson type fermions
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#include <Grid/qcd/action/fermion/FermionOperatorImpl.h>
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82
lib/qcd/utils/CovariantLaplacian.h
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82
lib/qcd/utils/CovariantLaplacian.h
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@ -0,0 +1,82 @@
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/*************************************************************************************
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Grid physics library, www.github.com/paboyle/Grid
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Source file: ./lib/qcd/action/scalar/CovariantLaplacian.h
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Copyright (C) 2016
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Author: Guido Cossu <guido.cossu@ed.ac.uk>
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This program is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License along
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with this program; if not, write to the Free Software Foundation, Inc.,
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51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
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See the full license in the file "LICENSE" in the top level distribution
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directory
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*************************************************************************************/
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/* END LEGAL */
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#ifndef COVARIANT_LAPLACIAN_H
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#define COVARIANT_LAPLACIAN_H
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namespace Grid {
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namespace QCD {
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template <class Impl>
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class LaplacianAdjointField {
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public:
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INHERIT_GIMPL_TYPES(Impl);
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typedef SU<Nc>::LatticeAlgebraVector AVector;
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LaplacianAdjointField(GridBase* grid) : U(Nd, grid){};
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void ImportGauge(const GaugeField& _U) {
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for (int mu = 0; mu < Nd; mu++) {
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U[mu] = PeekIndex<LorentzIndex>(_U, mu);
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}
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}
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void Mdiag(const AVector& in, AVector& out) { assert(0); }
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void Mdir(const AVector& in, AVector& out, int dir, int disp) { assert(0); }
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void M(const AVector& in, AVector& out) {
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double kappa = 0.99;
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//Reconstruct matrix
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GaugeLinkField tmp(in._grid);
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GaugeLinkField tmp2(in._grid);
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GaugeLinkField sum(in._grid);
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GaugeLinkField out_mat(in._grid);
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GaugeLinkField in_mat(in._grid);
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SU<Nc>::FundamentalLieAlgebraMatrix(in, in_mat);
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sum = zero;
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for (int mu = 0; mu < Nd; mu++) {
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tmp = U[mu] * Cshift(in_mat, mu, +1) * adj(U[mu]);
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tmp2 = adj(U[mu]) * in_mat * U[mu];
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sum += tmp + Cshift(tmp2, mu, -1) - 2.0 * in_mat;
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}
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out_mat = (1.0 - kappa) * in_mat - kappa/(double(4*Nd)) * sum;
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// Project
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SU<Nc>::projectOnAlgebra(out, out_mat);
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}
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private:
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std::vector<GaugeLinkField> U;
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};
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}
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}
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#endif
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tests/solver/Test_laplacian.cc
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64
tests/solver/Test_laplacian.cc
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/*************************************************************************************
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Grid physics library, www.github.com/paboyle/Grid
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Source file: ./tests/Test_wilson_cg_prec.cc
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Copyright (C) 2015
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Author: Peter Boyle <paboyle@ph.ed.ac.uk>
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This program is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License along
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with this program; if not, write to the Free Software Foundation, Inc.,
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51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
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See the full license in the file "LICENSE" in the top level distribution directory
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*************************************************************************************/
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/* END LEGAL */
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#include <Grid/Grid.h>
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using namespace std;
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using namespace Grid;
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using namespace Grid::QCD;
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int main (int argc, char ** argv)
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{
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Grid_init(&argc,&argv);
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std::vector<int> latt_size = GridDefaultLatt();
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std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
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std::vector<int> mpi_layout = GridDefaultMpi();
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GridCartesian Grid(latt_size,simd_layout,mpi_layout);
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GridRedBlackCartesian RBGrid(latt_size,simd_layout,mpi_layout);
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std::vector<int> seeds({1,2,3,4,5});
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GridParallelRNG pRNG(&Grid); pRNG.SeedFixedIntegers(seeds);
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LatticeGaugeField Umu(&Grid);
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SU<Nc>::HotConfiguration(pRNG,Umu);
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typedef SU<Nc>::LatticeAlgebraVector AVector;
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// Source and result in the algebra
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AVector src(&Grid); random(pRNG,src);
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AVector result(&Grid); result=zero;
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LaplacianAdjointField<PeriodicGimplR> Laplacian(&Grid);
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Laplacian.ImportGauge(Umu);
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HermitianLinearOperator<LaplacianAdjointField<PeriodicGimplR>,AVector> HermOp(Laplacian);
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ConjugateGradient<AVector> CG(1.0e-8,10000);
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CG(HermOp,src,result);
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Grid_finalize();
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}
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