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					/*************************************************************************************
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					    Grid physics library, www.github.com/paboyle/Grid 
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					    Source file: ./tests/Test_dwf_hdcr.cc
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					    Copyright (C) 2015
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					Author: Antonin Portelli <antonin.portelli@me.com>
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					Author: Peter Boyle <paboyle@ph.ed.ac.uk>
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					Author: paboyle <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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					#include <Grid/algorithms/iterative/PrecGeneralisedConjugateResidual.h>
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					#include <Grid/algorithms/iterative/PrecGeneralisedConjugateResidualNonHermitian.h>
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					#include <Grid/algorithms/iterative/BiCGSTAB.h>
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					using namespace std;
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					using namespace Grid;
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					/* Params
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					 * Grid: 
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					 * block1(4)
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					 * block2(4)
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					 * 
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					 * Subspace
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					 * * Fine  : Subspace(nbasis,hi,lo,order,first,step) -- 32, 60,0.02,500,100,100
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					 * * Coarse: Subspace(nbasis,hi,lo,order,first,step) -- 32, 18,0.02,500,100,100
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					 * Smoother:
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					 * * Fine: Cheby(hi, lo, order)            --  60,0.5,10
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					 * * Coarse: Cheby(hi, lo, order)          --  12,0.1,4
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					 * Lanczos:
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					 * CoarseCoarse IRL( Nk, Nm, Nstop, poly(lo,hi,order))   24,36,24,0.002,4.0,61 
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					 */
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					template<class Field> class SolverWrapper : public LinearFunction<Field> {
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					private:
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					  LinearOperatorBase<Field> & _Matrix;
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					  OperatorFunction<Field> & _Solver;
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					  LinearFunction<Field>   & _Guess;
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					public:
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					  /////////////////////////////////////////////////////
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					  // Wrap the usual normal equations trick
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					  /////////////////////////////////////////////////////
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					  SolverWrapper(LinearOperatorBase<Field> &Matrix,
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						      OperatorFunction<Field> &Solver,
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						      LinearFunction<Field> &Guess) 
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					   :  _Matrix(Matrix), _Solver(Solver), _Guess(Guess) {}; 
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					  void operator() (const Field &in, Field &out){
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					    _Guess(in,out);
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					    _Solver(_Matrix,in,out);  // Mdag M out = Mdag in
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					  }     
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					};
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					// Must use a non-hermitian solver
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					template<class Matrix,class Field>
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					class PVdagMLinearOperator : public LinearOperatorBase<Field> {
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					  Matrix &_Mat;
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					  Matrix &_PV;
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					public:
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					  PVdagMLinearOperator(Matrix &Mat,Matrix &PV): _Mat(Mat),_PV(PV){};
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					  void OpDiag (const Field &in, Field &out) {
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					    assert(0);
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					  }
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					  void OpDir  (const Field &in, Field &out,int dir,int disp) {
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					    assert(0);
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					  }
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					  void OpDirAll  (const Field &in, std::vector<Field> &out){
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					    assert(0);
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					  };
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					  void Op     (const Field &in, Field &out){
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					    Field tmp(in.Grid());
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					    _Mat.M(in,tmp);
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					    _PV.Mdag(tmp,out);
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					  }
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					  void AdjOp     (const Field &in, Field &out){
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					    Field tmp(in.Grid());
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					    _PV.M(tmp,out);
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					    _Mat.Mdag(in,tmp);
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					  }
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					  void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2){
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					    assert(0);
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					  }
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					  void HermOp(const Field &in, Field &out){
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					    assert(0);
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					  }
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					};
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					RealD InverseApproximation(RealD x){
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					  return 1.0/x;
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					}
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					template<class Field,class Matrix> class ChebyshevSmoother : public LinearFunction<Field>
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					{
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					public:
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					  typedef LinearOperatorBase<Field>                            FineOperator;
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					  Matrix         & _SmootherMatrix;
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					  FineOperator   & _SmootherOperator;
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					  Chebyshev<Field> Cheby;
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					  ChebyshevSmoother(RealD _lo,RealD _hi,int _ord, FineOperator &SmootherOperator,Matrix &SmootherMatrix) :
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					    _SmootherOperator(SmootherOperator),
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					    _SmootherMatrix(SmootherMatrix),
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					    Cheby(_lo,_hi,_ord,InverseApproximation)
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					  {};
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					  void operator() (const Field &in, Field &out) 
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					  {
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					    Field tmp(in.Grid());
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					    MdagMLinearOperator<Matrix,Field>   MdagMOp(_SmootherMatrix); 
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					    _SmootherOperator.AdjOp(in,tmp);
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					    Cheby(MdagMOp,tmp,out);         
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					  }
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					};
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					template<class Field,class Matrix> class MirsSmoother : public LinearFunction<Field>
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					{
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					public:
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					  typedef LinearOperatorBase<Field>                            FineOperator;
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					  Matrix         & SmootherMatrix;
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					  FineOperator   & SmootherOperator;
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					  RealD tol;
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					  RealD shift;
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					  int   maxit;
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					  MirsSmoother(RealD _shift,RealD _tol,int _maxit,FineOperator &_SmootherOperator,Matrix &_SmootherMatrix) :
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					    shift(_shift),tol(_tol),maxit(_maxit),
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					    SmootherOperator(_SmootherOperator),
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					    SmootherMatrix(_SmootherMatrix)
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					  {};
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					  void operator() (const Field &in, Field &out) 
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					  {
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					    ZeroGuesser<Field> Guess;
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					    ConjugateGradient<Field>  CG(tol,maxit,false);
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					    Field src(in.Grid());
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					    ShiftedMdagMLinearOperator<SparseMatrixBase<Field>,Field> MdagMOp(SmootherMatrix,shift);
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					    SmootherOperator.AdjOp(in,src);
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					    Guess(src,out);
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					    CG(MdagMOp,src,out); 
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					  }
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					};
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					#define GridLogLevel std::cout << GridLogMessage <<std::string(level,'\t')<< " Level "<<level <<" "
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					template<class Fobj,class CComplex,int nbasis, class CoarseSolver>
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					class HDCRPreconditioner : public LinearFunction< Lattice<Fobj> > {
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					public:
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					  typedef Aggregation<Fobj,CComplex,nbasis> Aggregates;
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					  typedef CoarsenedMatrix<Fobj,CComplex,nbasis> CoarseOperator;
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					  typedef typename Aggregation<Fobj,CComplex,nbasis>::CoarseVector CoarseVector;
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					  typedef typename Aggregation<Fobj,CComplex,nbasis>::CoarseMatrix CoarseMatrix;
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					  typedef typename Aggregation<Fobj,CComplex,nbasis>::FineField    FineField;
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					  typedef LinearOperatorBase<FineField>                            FineOperator;
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					  typedef LinearFunction    <FineField>                            FineSmoother;
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					  Aggregates     & _Aggregates;
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					  FineOperator   & _FineOperator;
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					  FineSmoother   & _Smoother;
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					  CoarseSolver   & _CoarseSolve;
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					  int    level;  void Level(int lv) {level = lv; };
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					  HDCRPreconditioner(Aggregates &Agg,
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							     FineOperator &Fine,
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							     FineSmoother &Smoother,
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							     CoarseSolver &CoarseSolve_)
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					    : _Aggregates(Agg),
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					      _FineOperator(Fine),
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					      _Smoother(Smoother),
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					      _CoarseSolve(CoarseSolve_),
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					      level(1)  {  }
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					  virtual void operator()(const FineField &in, FineField & out) 
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					  {
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					    auto CoarseGrid = _Aggregates.CoarseGrid;
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					    CoarseVector Csrc(CoarseGrid);
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					    CoarseVector Csol(CoarseGrid);
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					    FineField vec1(in.Grid());
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					    FineField vec2(in.Grid());
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					    double t;
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					    // Fine Smoother
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					    t=-usecond();
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					    _Smoother(in,out);
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					    t+=usecond();
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					    GridLogLevel << "Smoother took "<< t/1000.0<< "ms" <<std::endl;
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					    // Update the residual
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					    _FineOperator.Op(out,vec1);  sub(vec1, in ,vec1);   
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					    // Fine to Coarse 
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					    t=-usecond();
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					    _Aggregates.ProjectToSubspace  (Csrc,vec1);
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					    t+=usecond();
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					    GridLogLevel << "Project to coarse took "<< t/1000.0<< "ms" <<std::endl;
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					    // Coarse correction
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					    t=-usecond();
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					    _CoarseSolve(Csrc,Csol);
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					    t+=usecond();
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					    GridLogLevel << "Coarse solve took "<< t/1000.0<< "ms" <<std::endl;
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					    // Coarse to Fine
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					    t=-usecond();
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					    _Aggregates.PromoteFromSubspace(Csol,vec1); 
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					    add(out,out,vec1);
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					    t+=usecond();
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					    GridLogLevel << "Promote to this level took "<< t/1000.0<< "ms" <<std::endl;
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 | 
					    // Residual
 | 
				
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					    _FineOperator.Op(out,vec1);  sub(vec1 ,in , vec1);  
 | 
				
			||||||
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 | 
					    // Fine Smoother
 | 
				
			||||||
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					    t=-usecond();
 | 
				
			||||||
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					    _Smoother(vec1,vec2);
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			||||||
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					    t+=usecond();
 | 
				
			||||||
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					    GridLogLevel << "Smoother took "<< t/1000.0<< "ms" <<std::endl;
 | 
				
			||||||
 | 
					
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			||||||
 | 
					    add( out,out,vec2);
 | 
				
			||||||
 | 
					  }
 | 
				
			||||||
 | 
					};
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					/*
 | 
				
			||||||
 | 
					template<class Fobj,class CComplex,int nbasis, class Guesser, class CoarseSolver>
 | 
				
			||||||
 | 
					class MultiGridPreconditioner : public LinearFunction< Lattice<Fobj> > {
 | 
				
			||||||
 | 
					public:
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  typedef Aggregation<Fobj,CComplex,nbasis> Aggregates;
 | 
				
			||||||
 | 
					  typedef CoarsenedMatrix<Fobj,CComplex,nbasis> CoarseOperator;
 | 
				
			||||||
 | 
					  typedef typename Aggregation<Fobj,CComplex,nbasis>::CoarseVector CoarseVector;
 | 
				
			||||||
 | 
					  typedef typename Aggregation<Fobj,CComplex,nbasis>::CoarseMatrix CoarseMatrix;
 | 
				
			||||||
 | 
					  typedef typename Aggregation<Fobj,CComplex,nbasis>::FineField    FineField;
 | 
				
			||||||
 | 
					  typedef LinearOperatorBase<FineField>                            FineOperator;
 | 
				
			||||||
 | 
					  typedef LinearFunction    <FineField>                            FineSmoother;
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  Aggregates     & _Aggregates;
 | 
				
			||||||
 | 
					  CoarseOperator & _CoarseOperator;
 | 
				
			||||||
 | 
					  FineOperator   & _FineOperator;
 | 
				
			||||||
 | 
					  Guesser        & _Guess;
 | 
				
			||||||
 | 
					  FineSmoother   & _Smoother;
 | 
				
			||||||
 | 
					  CoarseSolver   & _CoarseSolve;
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  int    level;  void Level(int lv) {level = lv; };
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  MultiGridPreconditioner(Aggregates &Agg, CoarseOperator &Coarse, 
 | 
				
			||||||
 | 
								  FineOperator &Fine,
 | 
				
			||||||
 | 
								  FineSmoother &Smoother,
 | 
				
			||||||
 | 
								  Guesser &Guess_,
 | 
				
			||||||
 | 
								  CoarseSolver &CoarseSolve_)
 | 
				
			||||||
 | 
					    : _Aggregates(Agg),
 | 
				
			||||||
 | 
					      _CoarseOperator(Coarse),
 | 
				
			||||||
 | 
					      _FineOperator(Fine),
 | 
				
			||||||
 | 
					      _Smoother(Smoother),
 | 
				
			||||||
 | 
					      _Guess(Guess_),
 | 
				
			||||||
 | 
					      _CoarseSolve(CoarseSolve_),
 | 
				
			||||||
 | 
					      level(1)  {  }
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  virtual void operator()(const FineField &in, FineField & out) 
 | 
				
			||||||
 | 
					  {
 | 
				
			||||||
 | 
					    CoarseVector Csrc(_CoarseOperator.Grid());
 | 
				
			||||||
 | 
					    CoarseVector Csol(_CoarseOperator.Grid()); 
 | 
				
			||||||
 | 
					    FineField vec1(in.Grid());
 | 
				
			||||||
 | 
					    FineField vec2(in.Grid());
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					    double t;
 | 
				
			||||||
 | 
					    // Fine Smoother
 | 
				
			||||||
 | 
					    t=-usecond();
 | 
				
			||||||
 | 
					    _Smoother(in,out);
 | 
				
			||||||
 | 
					    t+=usecond();
 | 
				
			||||||
 | 
					    GridLogLevel << "Smoother took "<< t/1000.0<< "ms" <<std::endl;
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					    // Update the residual
 | 
				
			||||||
 | 
					    _FineOperator.Op(out,vec1);  sub(vec1, in ,vec1);   
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					    // Fine to Coarse 
 | 
				
			||||||
 | 
					    t=-usecond();
 | 
				
			||||||
 | 
					    _Aggregates.ProjectToSubspace  (Csrc,vec1);
 | 
				
			||||||
 | 
					    t+=usecond();
 | 
				
			||||||
 | 
					    GridLogLevel << "Project to coarse took "<< t/1000.0<< "ms" <<std::endl;
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					    // Coarse correction
 | 
				
			||||||
 | 
					    t=-usecond();
 | 
				
			||||||
 | 
					    _CoarseSolve(Csrc,Csol);
 | 
				
			||||||
 | 
					    t+=usecond();
 | 
				
			||||||
 | 
					    GridLogLevel << "Coarse solve took "<< t/1000.0<< "ms" <<std::endl;
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					    // Coarse to Fine
 | 
				
			||||||
 | 
					    t=-usecond();
 | 
				
			||||||
 | 
					    _Aggregates.PromoteFromSubspace(Csol,vec1); 
 | 
				
			||||||
 | 
					    add(out,out,vec1);
 | 
				
			||||||
 | 
					    t+=usecond();
 | 
				
			||||||
 | 
					    GridLogLevel << "Promote to this level took "<< t/1000.0<< "ms" <<std::endl;
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					    // Residual
 | 
				
			||||||
 | 
					    _FineOperator.Op(out,vec1);  sub(vec1 ,in , vec1);  
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					    // Fine Smoother
 | 
				
			||||||
 | 
					    t=-usecond();
 | 
				
			||||||
 | 
					    _Smoother(vec1,vec2);
 | 
				
			||||||
 | 
					    t+=usecond();
 | 
				
			||||||
 | 
					    GridLogLevel << "Smoother took "<< t/1000.0<< "ms" <<std::endl;
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					    add( out,out,vec2);
 | 
				
			||||||
 | 
					  }
 | 
				
			||||||
 | 
					};
 | 
				
			||||||
 | 
					*/
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					int main (int argc, char ** argv)
 | 
				
			||||||
 | 
					{
 | 
				
			||||||
 | 
					  Grid_init(&argc,&argv);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  const int Ls=16;
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  GridCartesian         * UGrid   = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplex::Nsimd()),GridDefaultMpi());
 | 
				
			||||||
 | 
					  GridRedBlackCartesian * UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  GridCartesian         * FGrid   = SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid);
 | 
				
			||||||
 | 
					  GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGrid);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  ///////////////////////////////////////////////////
 | 
				
			||||||
 | 
					  // Construct a coarsened grid; utility for this?
 | 
				
			||||||
 | 
					  ///////////////////////////////////////////////////
 | 
				
			||||||
 | 
					  std::vector<int> block ({2,2,2,2});
 | 
				
			||||||
 | 
					  std::vector<int> blockc ({2,2,2,2});
 | 
				
			||||||
 | 
					  const int nbasis= 32;
 | 
				
			||||||
 | 
					  const int nbasisc= 32;
 | 
				
			||||||
 | 
					  auto clatt = GridDefaultLatt();
 | 
				
			||||||
 | 
					  for(int d=0;d<clatt.size();d++){
 | 
				
			||||||
 | 
					    clatt[d] = clatt[d]/block[d];
 | 
				
			||||||
 | 
					  }
 | 
				
			||||||
 | 
					  auto cclatt = clatt;
 | 
				
			||||||
 | 
					  for(int d=0;d<clatt.size();d++){
 | 
				
			||||||
 | 
					    cclatt[d] = clatt[d]/blockc[d];
 | 
				
			||||||
 | 
					  }
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  GridCartesian *Coarse4d =  SpaceTimeGrid::makeFourDimGrid(clatt, GridDefaultSimd(Nd,vComplex::Nsimd()),GridDefaultMpi());;
 | 
				
			||||||
 | 
					  GridCartesian *Coarse5d =  SpaceTimeGrid::makeFiveDimGrid(1,Coarse4d);
 | 
				
			||||||
 | 
					  GridCartesian *CoarseCoarse4d =  SpaceTimeGrid::makeFourDimGrid(cclatt, GridDefaultSimd(Nd,vComplex::Nsimd()),GridDefaultMpi());;
 | 
				
			||||||
 | 
					  GridCartesian *CoarseCoarse5d =  SpaceTimeGrid::makeFiveDimGrid(1,CoarseCoarse4d);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  std::vector<int> seeds4({1,2,3,4});
 | 
				
			||||||
 | 
					  std::vector<int> seeds5({5,6,7,8});
 | 
				
			||||||
 | 
					  std::vector<int> cseeds({5,6,7,8});
 | 
				
			||||||
 | 
					  GridParallelRNG          RNG5(FGrid);   RNG5.SeedFixedIntegers(seeds5);
 | 
				
			||||||
 | 
					  GridParallelRNG          RNG4(UGrid);   RNG4.SeedFixedIntegers(seeds4);
 | 
				
			||||||
 | 
					  GridParallelRNG          CRNG(Coarse5d);CRNG.SeedFixedIntegers(cseeds);
 | 
				
			||||||
 | 
					  LatticeFermion    src(FGrid); gaussian(RNG5,src);// src=src+g5*src;
 | 
				
			||||||
 | 
					  LatticeFermion result(FGrid); 
 | 
				
			||||||
 | 
					  LatticeGaugeField Umu(UGrid); 
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  FieldMetaData header;
 | 
				
			||||||
 | 
					  std::string file("./ckpoint_lat.4000");
 | 
				
			||||||
 | 
					  NerscIO::readConfiguration(Umu,header,file);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "Building g5R5 hermitian DWF operator" <<std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					  RealD mass=0.001;
 | 
				
			||||||
 | 
					  RealD M5=1.8;
 | 
				
			||||||
 | 
					  DomainWallFermionR Ddwf(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5);
 | 
				
			||||||
 | 
					  DomainWallFermionR Dpv (Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,1.0,M5);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  typedef Aggregation<vSpinColourVector,vTComplex,nbasis>              Subspace;
 | 
				
			||||||
 | 
					  typedef CoarsenedMatrix<vSpinColourVector,vTComplex,nbasis>          CoarseOperator;
 | 
				
			||||||
 | 
					  typedef CoarseOperator::CoarseVector                                 CoarseVector;
 | 
				
			||||||
 | 
					  typedef CoarseOperator::siteVector siteVector;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "Calling Aggregation class to build subspace" <<std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					  MdagMLinearOperator<DomainWallFermionR,LatticeFermion> HermDefOp(Ddwf);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  Subspace Aggregates(Coarse5d,FGrid,0);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  assert ( (nbasis & 0x1)==0);
 | 
				
			||||||
 | 
					  {
 | 
				
			||||||
 | 
					    int nb=nbasis/2;
 | 
				
			||||||
 | 
					    Aggregates.CreateSubspaceChebyshev(RNG5,HermDefOp,nb,60.0,0.02,500,100,100,0.0);
 | 
				
			||||||
 | 
					    for(int n=0;n<nb;n++){
 | 
				
			||||||
 | 
					      G5R5(Aggregates.subspace[n+nb],Aggregates.subspace[n]);
 | 
				
			||||||
 | 
					    }
 | 
				
			||||||
 | 
					    LatticeFermion A(FGrid);
 | 
				
			||||||
 | 
					    LatticeFermion B(FGrid);
 | 
				
			||||||
 | 
					    for(int n=0;n<nb;n++){
 | 
				
			||||||
 | 
					      A = Aggregates.subspace[n];
 | 
				
			||||||
 | 
					      B = Aggregates.subspace[n+nb];
 | 
				
			||||||
 | 
					      Aggregates.subspace[n]   = A+B; // 1+G5 // eigen value of G5R5 is +1
 | 
				
			||||||
 | 
					      Aggregates.subspace[n+nb]= A-B; // 1-G5 // eigen value of G5R5 is -1
 | 
				
			||||||
 | 
					    }
 | 
				
			||||||
 | 
					  }
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << " Will coarsen G5R5 M and G5R5 Mpv in G5R5 compatible way " <<std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					  
 | 
				
			||||||
 | 
					  typedef CoarsenedMatrix<vSpinColourVector,vTComplex,nbasis>    Level1Op;
 | 
				
			||||||
 | 
					  typedef CoarsenedMatrix<siteVector,iScalar<vTComplex>,nbasisc> Level2Op;
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  Gamma5R5HermitianLinearOperator<DomainWallFermionR,LatticeFermion> HermIndefOp(Ddwf);
 | 
				
			||||||
 | 
					  Gamma5R5HermitianLinearOperator<DomainWallFermionR,LatticeFermion> HermIndefOpPV(Dpv);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "Building coarse representation of Indef operator" <<std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  Level1Op LDOp(*Coarse5d,1);   LDOp.CoarsenOperator(FGrid,HermIndefOp,Aggregates);
 | 
				
			||||||
 | 
					  Level1Op LDOpPV(*Coarse5d,1); LDOpPV.CoarsenOperator(FGrid,HermIndefOpPV,Aggregates);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << " Testing fine and coarse solvers " <<std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  CoarseVector c_src(Coarse5d); c_src=1.0;
 | 
				
			||||||
 | 
					  CoarseVector c_res(Coarse5d);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  LatticeFermion f_src(FGrid); f_src=1.0;
 | 
				
			||||||
 | 
					  LatticeFermion f_res(FGrid);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  LatticeFermion f_src_e(FrbGrid); f_src_e=1.0;
 | 
				
			||||||
 | 
					  LatticeFermion f_res_e(FrbGrid);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  RealD tol=1.0e-8;
 | 
				
			||||||
 | 
					  int MaxIt = 10000;
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  BiCGSTAB<CoarseVector>                     CoarseBiCGSTAB(tol,MaxIt);
 | 
				
			||||||
 | 
					  ConjugateGradient<CoarseVector>            CoarseCG(tol,MaxIt);
 | 
				
			||||||
 | 
					  //  GeneralisedMinimalResidual<CoarseVector>   CoarseGMRES(tol,MaxIt,20);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  BiCGSTAB<LatticeFermion>                   FineBiCGSTAB(tol,MaxIt);
 | 
				
			||||||
 | 
					  ConjugateGradient<LatticeFermion>          FineCG(tol,MaxIt);
 | 
				
			||||||
 | 
					  //  GeneralisedMinimalResidual<LatticeFermion> FineGMRES(tol,MaxIt,20);
 | 
				
			||||||
 | 
					  
 | 
				
			||||||
 | 
					  MdagMLinearOperator<DomainWallFermionR,LatticeFermion>    FineMdagM(Ddwf);     //  M^\dag M
 | 
				
			||||||
 | 
					  PVdagMLinearOperator<DomainWallFermionR,LatticeFermion>   FinePVdagM(Ddwf,Dpv);//  M_{pv}^\dag M
 | 
				
			||||||
 | 
					  SchurDiagMooeeOperator<DomainWallFermionR,LatticeFermion> FineDiagMooee(Ddwf); //  M_ee - Meo Moo^-1 Moe 
 | 
				
			||||||
 | 
					  SchurDiagOneOperator<DomainWallFermionR,LatticeFermion>   FineDiagOne(Ddwf);   //  1 - M_ee^{-1} Meo Moo^{-1} Moe e
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					   MdagMLinearOperator<Level1Op,CoarseVector> CoarseMdagM(LDOp);
 | 
				
			||||||
 | 
					  PVdagMLinearOperator<Level1Op,CoarseVector> CoarsePVdagM(LDOp,LDOpPV);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "Fine CG unprec "<< std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  f_res=Zero();
 | 
				
			||||||
 | 
					  FineCG(FineMdagM,f_src,f_res);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "Fine CG prec DiagMooee "<< std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					  
 | 
				
			||||||
 | 
					  f_res_e=Zero();
 | 
				
			||||||
 | 
					  FineCG(FineDiagMooee,f_src_e,f_res_e);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "Fine CG prec DiagOne "<< std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  f_res_e=Zero();
 | 
				
			||||||
 | 
					  FineCG(FineDiagOne,f_src_e,f_res_e);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "Fine BiCGSTAB unprec "<< std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  f_res=Zero();
 | 
				
			||||||
 | 
					  FineBiCGSTAB(FinePVdagM,f_src,f_res);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "Coarse BiCGSTAB "<< std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					  
 | 
				
			||||||
 | 
					  c_res=Zero();
 | 
				
			||||||
 | 
					  CoarseBiCGSTAB(CoarsePVdagM,c_src,c_res);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "Coarse CG unprec "<< std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  c_res=Zero();
 | 
				
			||||||
 | 
					  CoarseCG(CoarseMdagM,c_src,c_res);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << " Running Coarse grid Lanczos "<< std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  Chebyshev<CoarseVector>      IRLCheby(0.03,12.0,71);  // 1 iter
 | 
				
			||||||
 | 
					  FunctionHermOp<CoarseVector> IRLOpCheby(IRLCheby,CoarseMdagM);
 | 
				
			||||||
 | 
					  PlainHermOp<CoarseVector>    IRLOp    (CoarseMdagM);
 | 
				
			||||||
 | 
					  int Nk=64;
 | 
				
			||||||
 | 
					  int Nm=128;
 | 
				
			||||||
 | 
					  int Nstop=Nk;
 | 
				
			||||||
 | 
					  ImplicitlyRestartedLanczos<CoarseVector> IRL(IRLOpCheby,IRLOp,Nstop,Nk,Nm,1.0e-3,20);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  int Nconv;
 | 
				
			||||||
 | 
					  std::vector<RealD>            eval(Nm);
 | 
				
			||||||
 | 
					  std::vector<CoarseVector>     evec(Nm,Coarse5d);
 | 
				
			||||||
 | 
					  IRL.calc(eval,evec,c_src,Nconv);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << " Running Coarse grid deflated solver              "<< std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  DeflatedGuesser<CoarseVector> DeflCoarseGuesser(evec,eval);
 | 
				
			||||||
 | 
					  NormalEquations<CoarseVector> DeflCoarseCGNE   (LDOp,CoarseCG,DeflCoarseGuesser);
 | 
				
			||||||
 | 
					  c_res=Zero();
 | 
				
			||||||
 | 
					  DeflCoarseCGNE(c_src,c_res);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << " Running HDCR                                     "<< std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  ConjugateGradient<CoarseVector>  CoarseMgridCG(0.001,1000);     
 | 
				
			||||||
 | 
					  ChebyshevSmoother<LatticeFermion,DomainWallFermionR> FineSmoother(0.5,60.0,10,HermIndefOp,Ddwf);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  typedef HDCRPreconditioner<vSpinColourVector,  vTComplex,nbasis, NormalEquations<CoarseVector> >   TwoLevelHDCR;
 | 
				
			||||||
 | 
					  TwoLevelHDCR TwoLevelPrecon(Aggregates,
 | 
				
			||||||
 | 
								      HermIndefOp,
 | 
				
			||||||
 | 
								      FineSmoother,
 | 
				
			||||||
 | 
								      DeflCoarseCGNE);
 | 
				
			||||||
 | 
					  TwoLevelPrecon.Level(1);
 | 
				
			||||||
 | 
					  //  PrecGeneralisedConjugateResidual<LatticeFermion> l1PGCR(1.0e-8,100,HermIndefOp,TwoLevelPrecon,16,16);
 | 
				
			||||||
 | 
					  PrecGeneralisedConjugateResidualNonHermitian<LatticeFermion> l1PGCR(1.0e-8,100,HermIndefOp,TwoLevelPrecon,16,16);
 | 
				
			||||||
 | 
					  l1PGCR.Level(1);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  f_res=Zero();
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  CoarseCG.Tolerance=0.02;
 | 
				
			||||||
 | 
					  l1PGCR(f_src,f_res);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << " Running Multigrid                                "<< std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  BiCGSTAB<CoarseVector>    CoarseMgridBiCGSTAB(0.01,1000);     
 | 
				
			||||||
 | 
					  BiCGSTAB<LatticeFermion>  FineMgridBiCGSTAB(0.0,24);
 | 
				
			||||||
 | 
					  ZeroGuesser<CoarseVector> CoarseZeroGuesser;
 | 
				
			||||||
 | 
					  ZeroGuesser<LatticeFermion> FineZeroGuesser;
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  SolverWrapper<LatticeFermion> FineBiCGSmoother(  FinePVdagM,  FineMgridBiCGSTAB,  FineZeroGuesser);
 | 
				
			||||||
 | 
					  SolverWrapper<CoarseVector> CoarsePVdagMSolver(CoarsePVdagM,CoarseMgridBiCGSTAB,CoarseZeroGuesser);
 | 
				
			||||||
 | 
					  typedef HDCRPreconditioner<vSpinColourVector, vTComplex,nbasis, SolverWrapper<CoarseVector> >  TwoLevelMG;
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  TwoLevelMG _TwoLevelMG(Aggregates,
 | 
				
			||||||
 | 
								 FinePVdagM,
 | 
				
			||||||
 | 
								 FineBiCGSmoother,
 | 
				
			||||||
 | 
								 CoarsePVdagMSolver);
 | 
				
			||||||
 | 
					  _TwoLevelMG.Level(1);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  PrecGeneralisedConjugateResidualNonHermitian<LatticeFermion> pvPGCR(1.0e-8,100,FinePVdagM,_TwoLevelMG,16,16);
 | 
				
			||||||
 | 
					  pvPGCR.Level(1);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  f_res=Zero();
 | 
				
			||||||
 | 
					  pvPGCR(f_src,f_res);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "Done "<< std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					  Grid_finalize();
 | 
				
			||||||
 | 
					  
 | 
				
			||||||
 | 
					}
 | 
				
			||||||
							
								
								
									
										356
									
								
								tests/solver/Test_hw_multigrid.cc
									
									
									
									
									
										Normal file
									
								
							
							
						
						
									
										356
									
								
								tests/solver/Test_hw_multigrid.cc
									
									
									
									
									
										Normal file
									
								
							@@ -0,0 +1,356 @@
 | 
				
			|||||||
 | 
					/*************************************************************************************
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					    Grid physics library, www.github.com/paboyle/Grid 
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					    Source file: ./tests/Test_dwf_hdcr.cc
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					    Copyright (C) 2015
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					Author: Antonin Portelli <antonin.portelli@me.com>
 | 
				
			||||||
 | 
					Author: Peter Boyle <paboyle@ph.ed.ac.uk>
 | 
				
			||||||
 | 
					Author: paboyle <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>
 | 
				
			||||||
 | 
					#include <Grid/algorithms/iterative/PrecGeneralisedConjugateResidual.h>
 | 
				
			||||||
 | 
					//#include <Grid/algorithms/iterative/PrecGeneralisedConjugateResidualNonHermitian.h>
 | 
				
			||||||
 | 
					#include <Grid/algorithms/iterative/BiCGSTAB.h>
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					using namespace std;
 | 
				
			||||||
 | 
					using namespace Grid;
 | 
				
			||||||
 | 
					/* Params
 | 
				
			||||||
 | 
					 * Grid: 
 | 
				
			||||||
 | 
					 * block1(4)
 | 
				
			||||||
 | 
					 * block2(4)
 | 
				
			||||||
 | 
					 * 
 | 
				
			||||||
 | 
					 * Subspace
 | 
				
			||||||
 | 
					 * * Fine  : Subspace(nbasis,hi,lo,order,first,step) -- 32, 60,0.02,500,100,100
 | 
				
			||||||
 | 
					 * * Coarse: Subspace(nbasis,hi,lo,order,first,step) -- 32, 18,0.02,500,100,100
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					 * Smoother:
 | 
				
			||||||
 | 
					 * * Fine: Cheby(hi, lo, order)            --  60,0.5,10
 | 
				
			||||||
 | 
					 * * Coarse: Cheby(hi, lo, order)          --  12,0.1,4
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					 * Lanczos:
 | 
				
			||||||
 | 
					 * CoarseCoarse IRL( Nk, Nm, Nstop, poly(lo,hi,order))   24,36,24,0.002,4.0,61 
 | 
				
			||||||
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					template<class Field> class SolverWrapper : public LinearFunction<Field> {
 | 
				
			||||||
 | 
					private:
 | 
				
			||||||
 | 
					  LinearOperatorBase<Field> & _Matrix;
 | 
				
			||||||
 | 
					  OperatorFunction<Field> & _Solver;
 | 
				
			||||||
 | 
					  LinearFunction<Field>   & _Guess;
 | 
				
			||||||
 | 
					public:
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  /////////////////////////////////////////////////////
 | 
				
			||||||
 | 
					  // Wrap the usual normal equations trick
 | 
				
			||||||
 | 
					  /////////////////////////////////////////////////////
 | 
				
			||||||
 | 
					  SolverWrapper(LinearOperatorBase<Field> &Matrix,
 | 
				
			||||||
 | 
						      OperatorFunction<Field> &Solver,
 | 
				
			||||||
 | 
						      LinearFunction<Field> &Guess) 
 | 
				
			||||||
 | 
					   :  _Matrix(Matrix), _Solver(Solver), _Guess(Guess) {}; 
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  void operator() (const Field &in, Field &out){
 | 
				
			||||||
 | 
					 
 | 
				
			||||||
 | 
					    _Guess(in,out);
 | 
				
			||||||
 | 
					    _Solver(_Matrix,in,out);  // Mdag M out = Mdag in
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  }     
 | 
				
			||||||
 | 
					};
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					// Must use a non-hermitian solver
 | 
				
			||||||
 | 
					template<class Matrix,class Field>
 | 
				
			||||||
 | 
					class PVdagMLinearOperator : public LinearOperatorBase<Field> {
 | 
				
			||||||
 | 
					  Matrix &_Mat;
 | 
				
			||||||
 | 
					  Matrix &_PV;
 | 
				
			||||||
 | 
					public:
 | 
				
			||||||
 | 
					  PVdagMLinearOperator(Matrix &Mat,Matrix &PV): _Mat(Mat),_PV(PV){};
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  void OpDiag (const Field &in, Field &out) {
 | 
				
			||||||
 | 
					    assert(0);
 | 
				
			||||||
 | 
					  }
 | 
				
			||||||
 | 
					  void OpDir  (const Field &in, Field &out,int dir,int disp) {
 | 
				
			||||||
 | 
					    assert(0);
 | 
				
			||||||
 | 
					  }
 | 
				
			||||||
 | 
					  void OpDirAll  (const Field &in, std::vector<Field> &out){
 | 
				
			||||||
 | 
					    assert(0);
 | 
				
			||||||
 | 
					  };
 | 
				
			||||||
 | 
					  void Op     (const Field &in, Field &out){
 | 
				
			||||||
 | 
					    Field tmp(in.Grid());
 | 
				
			||||||
 | 
					    _Mat.M(in,tmp);
 | 
				
			||||||
 | 
					    _PV.Mdag(tmp,out);
 | 
				
			||||||
 | 
					  }
 | 
				
			||||||
 | 
					  void AdjOp     (const Field &in, Field &out){
 | 
				
			||||||
 | 
					    Field tmp(in.Grid());
 | 
				
			||||||
 | 
					    _PV.M(tmp,out);
 | 
				
			||||||
 | 
					    _Mat.Mdag(in,tmp);
 | 
				
			||||||
 | 
					  }
 | 
				
			||||||
 | 
					  void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2){
 | 
				
			||||||
 | 
					    assert(0);
 | 
				
			||||||
 | 
					  }
 | 
				
			||||||
 | 
					  void HermOp(const Field &in, Field &out){
 | 
				
			||||||
 | 
					    assert(0);
 | 
				
			||||||
 | 
					  }
 | 
				
			||||||
 | 
					};
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					RealD InverseApproximation(RealD x){
 | 
				
			||||||
 | 
					  return 1.0/x;
 | 
				
			||||||
 | 
					}
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					template<class Field,class Matrix> class ChebyshevSmoother : public LinearFunction<Field>
 | 
				
			||||||
 | 
					{
 | 
				
			||||||
 | 
					public:
 | 
				
			||||||
 | 
					  typedef LinearOperatorBase<Field>                            FineOperator;
 | 
				
			||||||
 | 
					  Matrix         & _SmootherMatrix;
 | 
				
			||||||
 | 
					  FineOperator   & _SmootherOperator;
 | 
				
			||||||
 | 
					  
 | 
				
			||||||
 | 
					  Chebyshev<Field> Cheby;
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  ChebyshevSmoother(RealD _lo,RealD _hi,int _ord, FineOperator &SmootherOperator,Matrix &SmootherMatrix) :
 | 
				
			||||||
 | 
					    _SmootherOperator(SmootherOperator),
 | 
				
			||||||
 | 
					    _SmootherMatrix(SmootherMatrix),
 | 
				
			||||||
 | 
					    Cheby(_lo,_hi,_ord,InverseApproximation)
 | 
				
			||||||
 | 
					  {};
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  void operator() (const Field &in, Field &out) 
 | 
				
			||||||
 | 
					  {
 | 
				
			||||||
 | 
					    Field tmp(in.Grid());
 | 
				
			||||||
 | 
					    MdagMLinearOperator<Matrix,Field>   MdagMOp(_SmootherMatrix); 
 | 
				
			||||||
 | 
					    _SmootherOperator.AdjOp(in,tmp);
 | 
				
			||||||
 | 
					    Cheby(MdagMOp,tmp,out);         
 | 
				
			||||||
 | 
					  }
 | 
				
			||||||
 | 
					};
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					template<class Field,class Matrix> class MirsSmoother : public LinearFunction<Field>
 | 
				
			||||||
 | 
					{
 | 
				
			||||||
 | 
					public:
 | 
				
			||||||
 | 
					  typedef LinearOperatorBase<Field>                            FineOperator;
 | 
				
			||||||
 | 
					  Matrix         & SmootherMatrix;
 | 
				
			||||||
 | 
					  FineOperator   & SmootherOperator;
 | 
				
			||||||
 | 
					  RealD tol;
 | 
				
			||||||
 | 
					  RealD shift;
 | 
				
			||||||
 | 
					  int   maxit;
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  MirsSmoother(RealD _shift,RealD _tol,int _maxit,FineOperator &_SmootherOperator,Matrix &_SmootherMatrix) :
 | 
				
			||||||
 | 
					    shift(_shift),tol(_tol),maxit(_maxit),
 | 
				
			||||||
 | 
					    SmootherOperator(_SmootherOperator),
 | 
				
			||||||
 | 
					    SmootherMatrix(_SmootherMatrix)
 | 
				
			||||||
 | 
					  {};
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  void operator() (const Field &in, Field &out) 
 | 
				
			||||||
 | 
					  {
 | 
				
			||||||
 | 
					    ZeroGuesser<Field> Guess;
 | 
				
			||||||
 | 
					    ConjugateGradient<Field>  CG(tol,maxit,false);
 | 
				
			||||||
 | 
					 
 | 
				
			||||||
 | 
					    Field src(in.Grid());
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					    ShiftedMdagMLinearOperator<SparseMatrixBase<Field>,Field> MdagMOp(SmootherMatrix,shift);
 | 
				
			||||||
 | 
					    SmootherOperator.AdjOp(in,src);
 | 
				
			||||||
 | 
					    Guess(src,out);
 | 
				
			||||||
 | 
					    CG(MdagMOp,src,out); 
 | 
				
			||||||
 | 
					  }
 | 
				
			||||||
 | 
					};
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					#define GridLogLevel std::cout << GridLogMessage <<std::string(level,'\t')<< " Level "<<level <<" "
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					template<class Fobj,class CComplex,int nbasis, class CoarseSolver>
 | 
				
			||||||
 | 
					class HDCRPreconditioner : public LinearFunction< Lattice<Fobj> > {
 | 
				
			||||||
 | 
					public:
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  typedef Aggregation<Fobj,CComplex,nbasis> Aggregates;
 | 
				
			||||||
 | 
					  typedef CoarsenedMatrix<Fobj,CComplex,nbasis> CoarseOperator;
 | 
				
			||||||
 | 
					  typedef typename Aggregation<Fobj,CComplex,nbasis>::CoarseVector CoarseVector;
 | 
				
			||||||
 | 
					  typedef typename Aggregation<Fobj,CComplex,nbasis>::CoarseMatrix CoarseMatrix;
 | 
				
			||||||
 | 
					  typedef typename Aggregation<Fobj,CComplex,nbasis>::FineField    FineField;
 | 
				
			||||||
 | 
					  typedef LinearOperatorBase<FineField>                            FineOperator;
 | 
				
			||||||
 | 
					  typedef LinearFunction    <FineField>                            FineSmoother;
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  Aggregates     & _Aggregates;
 | 
				
			||||||
 | 
					  FineOperator   & _FineOperator;
 | 
				
			||||||
 | 
					  FineSmoother   & _Smoother;
 | 
				
			||||||
 | 
					  CoarseSolver   & _CoarseSolve;
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  int    level;  void Level(int lv) {level = lv; };
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  HDCRPreconditioner(Aggregates &Agg,
 | 
				
			||||||
 | 
							     FineOperator &Fine,
 | 
				
			||||||
 | 
							     FineSmoother &Smoother,
 | 
				
			||||||
 | 
							     CoarseSolver &CoarseSolve_)
 | 
				
			||||||
 | 
					    : _Aggregates(Agg),
 | 
				
			||||||
 | 
					      _FineOperator(Fine),
 | 
				
			||||||
 | 
					      _Smoother(Smoother),
 | 
				
			||||||
 | 
					      _CoarseSolve(CoarseSolve_),
 | 
				
			||||||
 | 
					      level(1)  {  }
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  virtual void operator()(const FineField &in, FineField & out) 
 | 
				
			||||||
 | 
					  {
 | 
				
			||||||
 | 
					    auto CoarseGrid = _Aggregates.CoarseGrid;
 | 
				
			||||||
 | 
					    CoarseVector Csrc(CoarseGrid);
 | 
				
			||||||
 | 
					    CoarseVector Csol(CoarseGrid);
 | 
				
			||||||
 | 
					    FineField vec1(in.Grid());
 | 
				
			||||||
 | 
					    FineField vec2(in.Grid());
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					    double t;
 | 
				
			||||||
 | 
					    // Fine Smoother
 | 
				
			||||||
 | 
					    t=-usecond();
 | 
				
			||||||
 | 
					    _Smoother(in,out);
 | 
				
			||||||
 | 
					    t+=usecond();
 | 
				
			||||||
 | 
					    GridLogLevel << "Smoother took "<< t/1000.0<< "ms" <<std::endl;
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					    // Update the residual
 | 
				
			||||||
 | 
					    _FineOperator.Op(out,vec1);  sub(vec1, in ,vec1);   
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					    // Fine to Coarse 
 | 
				
			||||||
 | 
					    t=-usecond();
 | 
				
			||||||
 | 
					    _Aggregates.ProjectToSubspace  (Csrc,vec1);
 | 
				
			||||||
 | 
					    t+=usecond();
 | 
				
			||||||
 | 
					    GridLogLevel << "Project to coarse took "<< t/1000.0<< "ms" <<std::endl;
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					    // Coarse correction
 | 
				
			||||||
 | 
					    t=-usecond();
 | 
				
			||||||
 | 
					    _CoarseSolve(Csrc,Csol);
 | 
				
			||||||
 | 
					    t+=usecond();
 | 
				
			||||||
 | 
					    GridLogLevel << "Coarse solve took "<< t/1000.0<< "ms" <<std::endl;
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					    // Coarse to Fine
 | 
				
			||||||
 | 
					    t=-usecond();
 | 
				
			||||||
 | 
					    _Aggregates.PromoteFromSubspace(Csol,vec1); 
 | 
				
			||||||
 | 
					    add(out,out,vec1);
 | 
				
			||||||
 | 
					    t+=usecond();
 | 
				
			||||||
 | 
					    GridLogLevel << "Promote to this level took "<< t/1000.0<< "ms" <<std::endl;
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					    // Residual
 | 
				
			||||||
 | 
					    _FineOperator.Op(out,vec1);  sub(vec1 ,in , vec1);  
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					    // Fine Smoother
 | 
				
			||||||
 | 
					    t=-usecond();
 | 
				
			||||||
 | 
					    _Smoother(vec1,vec2);
 | 
				
			||||||
 | 
					    t+=usecond();
 | 
				
			||||||
 | 
					    GridLogLevel << "Smoother took "<< t/1000.0<< "ms" <<std::endl;
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					    add( out,out,vec2);
 | 
				
			||||||
 | 
					  }
 | 
				
			||||||
 | 
					};
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					int main (int argc, char ** argv)
 | 
				
			||||||
 | 
					{
 | 
				
			||||||
 | 
					  Grid_init(&argc,&argv);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  const int Ls=16;
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  GridCartesian         * UGrid   = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplex::Nsimd()),GridDefaultMpi());
 | 
				
			||||||
 | 
					  GridRedBlackCartesian * UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  GridCartesian         * FGrid   = SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid);
 | 
				
			||||||
 | 
					  GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGrid);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  ///////////////////////////////////////////////////
 | 
				
			||||||
 | 
					  // Construct a coarsened grid; utility for this?
 | 
				
			||||||
 | 
					  ///////////////////////////////////////////////////
 | 
				
			||||||
 | 
					  std::vector<int> block ({2,2,2,2});
 | 
				
			||||||
 | 
					  const int nbasis= 32;
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  auto clatt = GridDefaultLatt();
 | 
				
			||||||
 | 
					  for(int d=0;d<clatt.size();d++){
 | 
				
			||||||
 | 
					    clatt[d] = clatt[d]/block[d];
 | 
				
			||||||
 | 
					  }
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  GridCartesian *Coarse4d =  SpaceTimeGrid::makeFourDimGrid(clatt, GridDefaultSimd(Nd,vComplex::Nsimd()),GridDefaultMpi());;
 | 
				
			||||||
 | 
					  GridCartesian *Coarse5d =  SpaceTimeGrid::makeFiveDimGrid(Ls,Coarse4d);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  std::vector<int> seeds({1,2,3,4});
 | 
				
			||||||
 | 
					  GridParallelRNG          RNG5(FGrid);   RNG5.SeedFixedIntegers(seeds);
 | 
				
			||||||
 | 
					  GridParallelRNG          RNG4(UGrid);   RNG4.SeedFixedIntegers(seeds);
 | 
				
			||||||
 | 
					  GridParallelRNG          CRNG(Coarse5d);CRNG.SeedFixedIntegers(seeds);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  LatticeGaugeField Umu(UGrid); 
 | 
				
			||||||
 | 
					  FieldMetaData header;
 | 
				
			||||||
 | 
					  std::string file("./ckpoint_lat.4000");
 | 
				
			||||||
 | 
					  NerscIO::readConfiguration(Umu,header,file);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "Building g5R5 hermitian DWF operator" <<std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					  RealD mass=0.001;
 | 
				
			||||||
 | 
					  RealD M5=1.8;
 | 
				
			||||||
 | 
					  WilsonFermionR    Dw(Umu,*UGrid,*UrbGrid,-M5);
 | 
				
			||||||
 | 
					  DomainWallFermionR Ddwf(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5);
 | 
				
			||||||
 | 
					  DomainWallFermionR Dpv (Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,1.0,M5);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  typedef Aggregation<vSpinColourVector,vTComplex,nbasis>              Subspace;
 | 
				
			||||||
 | 
					  typedef CoarsenedMatrix<vSpinColourVector,vTComplex,nbasis>          CoarseOperator;
 | 
				
			||||||
 | 
					  typedef CoarseOperator::CoarseVector                                 CoarseVector;
 | 
				
			||||||
 | 
					  typedef CoarseOperator::siteVector siteVector;
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "Calling Aggregation class to build subspace" <<std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					  MdagMLinearOperator<WilsonFermionR,LatticeFermion> SubspaceOp(Dw);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  Subspace Aggregates4D(Coarse4d,UGrid,0);
 | 
				
			||||||
 | 
					  Subspace Aggregates5D(Coarse5d,FGrid,0);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  assert ( (nbasis & 0x1)==0);
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << " 4D subspace build                                " <<std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					  int nb=nbasis/2;
 | 
				
			||||||
 | 
					  Gamma g5(Gamma::Algebra::Gamma5);
 | 
				
			||||||
 | 
					  Aggregates4D.CreateSubspaceChebyshev(RNG5,SubspaceOp,nb,60.0,0.02,500,100,100,0.0);
 | 
				
			||||||
 | 
					  for(int n=0;n<nb;n++){
 | 
				
			||||||
 | 
					    Aggregates4D.subspace[n+nb]= Aggregates4D.subspace[n] - g5 * Aggregates4D.subspace[n];
 | 
				
			||||||
 | 
					    Aggregates4D.subspace[n]   = Aggregates4D.subspace[n] + g5 * Aggregates4D.subspace[n];
 | 
				
			||||||
 | 
					  }
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << " Promote to 5D basis                              " <<std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					  for(int n=0;n<nbasis;n++){
 | 
				
			||||||
 | 
					    for(int s=0;s<Ls;s++){
 | 
				
			||||||
 | 
					      InsertSlice(Aggregates4D.subspace[n],Aggregates5D.subspace[n],s,0);
 | 
				
			||||||
 | 
					    }
 | 
				
			||||||
 | 
					  }
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << " Coarsen the operator                          " <<std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					  typedef CoarsenedMatrix<vSpinColourVector,vTComplex,nbasis>    Level1Op;
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  NonHermitianLinearOperator<DomainWallFermionR,LatticeFermion>  LinOpDwf(Ddwf);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  Level1Op LDOp  (*Coarse5d,1);   
 | 
				
			||||||
 | 
					  LDOp.CoarsenOperator(FGrid,LinOpDwf,Aggregates5D);
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << " Solve                                            " <<std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					  
 | 
				
			||||||
 | 
					  LatticeFermion    src(FGrid); gaussian(RNG5,src);
 | 
				
			||||||
 | 
					  LatticeFermion result(FGrid); 
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "Done "<< std::endl;
 | 
				
			||||||
 | 
					  std::cout<<GridLogMessage << "**************************************************"<< std::endl;
 | 
				
			||||||
 | 
					  Grid_finalize();
 | 
				
			||||||
 | 
					  
 | 
				
			||||||
 | 
					}
 | 
				
			||||||
		Reference in New Issue
	
	Block a user