Grid/tests/solver/Test_laplacian.cc

    /*************************************************************************************

    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);

  double Kappa = 0.9999;

  std::cout << GridLogMessage << "Running with kappa: " << Kappa << std::endl;

  typedef SU<Nc>::LatticeAlgebraVector AVector;
  // Source and result in the algebra
  // needed for the second test
  AVector src_vec(&Grid); random(pRNG, src_vec);
  AVector result_vec(&Grid); result_vec = zero;
  
  LatticeColourMatrix src(&Grid); 
  SU<Nc>::FundamentalLieAlgebraMatrix(src_vec, src);
  LatticeColourMatrix result(&Grid); result=zero;


  // Generate a field of adjoint matrices
  LatticeGaugeField src_f(&Grid);

  // A matrix in the adjoint
  LatticeColourMatrix src_mu(&Grid);
  for (int mu = 0; mu < Nd; mu++) {
    SU<Nc>::GaussianFundamentalLieAlgebraMatrix(pRNG, src_mu);
    PokeIndex<LorentzIndex>(src_f, timesI(src_mu), mu);
  }
  LatticeGaugeField result_f(&Grid);

  // Definition of the Laplacian operator
  ConjugateGradient<LatticeGaugeField> CG(1.0e-8,10000);
  LaplacianParams LapPar(0.00001, 1.0, 1000, 1e-8, 10, 64);
  LaplacianAdjointField<PeriodicGimplR> Laplacian(&Grid, CG, LapPar, Kappa);
  Laplacian.ImportGauge(Umu);
  std::cout << GridLogMessage << "Testing the Laplacian using the full matrix" <<std::endl;
  Laplacian.Minv(src_f, result_f);
  


  Laplacian.MSquareRoot(src_f);


  // Tests also the version using the algebra decomposition
  /*
  LaplacianAlgebraField<PeriodicGimplR> LaplacianAlgebra(&Grid, Kappa);
  LaplacianAlgebra.ImportGauge(Umu);

  HermitianLinearOperator<LaplacianAlgebraField<PeriodicGimplR>,AVector> HermOpAlg(LaplacianAlgebra);
  ConjugateGradient<AVector> CG_Algebra(1.0e-8,10000);
  std::cout << GridLogMessage << "Testing the Laplacian using the algebra vectors" <<std::endl;
  CG_Algebra(HermOpAlg,src_vec,result_vec);
  
  LatticeColourMatrix result2(&Grid);
  SU<Nc>::FundamentalLieAlgebraMatrix(result_vec, result2);

  result2 -= result;
  std::cout << GridLogMessage << "Results difference " << norm2(result2) << std::endl;
  */

  Grid_finalize();
}