Grid/lib/algorithms/iterative/LocalCoherenceLanczos.h

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

    Grid physics library, www.github.com/paboyle/Grid 

    Source file: ./lib/algorithms/iterative/LocalCoherenceLanczos.h

    Copyright (C) 2015

Author: Christoph Lehner <clehner@bnl.gov>
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 */
#ifndef GRID_LOCAL_COHERENCE_IRL_H
#define GRID_LOCAL_COHERENCE_IRL_H

NAMESPACE_BEGIN(Grid); 

struct LanczosParams : Serializable {
public:
  GRID_SERIALIZABLE_CLASS_MEMBERS(LanczosParams,
				  ChebyParams, Cheby,/*Chebyshev*/
				  int, Nstop,    /*Vecs in Lanczos must converge Nstop < Nk < Nm*/
				  int, Nk,       /*Vecs in Lanczos seek converge*/
				  int, Nm,       /*Total vecs in Lanczos include restart*/
				  RealD, resid,  /*residual*/
 				  int, MaxIt, 
				  RealD, betastp,  /* ? */
				  int, MinRes);    // Must restart
};

struct LocalCoherenceLanczosParams : Serializable {
public:
  GRID_SERIALIZABLE_CLASS_MEMBERS(LocalCoherenceLanczosParams,
				  bool, doFine,
				  bool, doFineRead,
				  bool, doCoarse,
	       			  bool, doCoarseRead,
				  LanczosParams, FineParams,
				  LanczosParams, CoarseParams,
				  ChebyParams,   Smoother,
				  RealD        , coarse_relax_tol,
				  std::vector<int>, blockSize,
				  std::string, config,
				  std::vector < std::complex<double>  >, omega,
				  RealD, mass,
				  RealD, M5);
};

// Duplicate functionality; ProjectedFunctionHermOp could be used with the trivial function
template<class Fobj,class CComplex,int nbasis>
class ProjectedHermOp : public LinearFunction<Lattice<iVector<CComplex,nbasis > > > {
public:
  typedef iVector<CComplex,nbasis >           CoarseSiteVector;
  typedef Lattice<CoarseSiteVector>           CoarseField;
  typedef Lattice<CComplex>   CoarseScalar; // used for inner products on fine field
  typedef Lattice<Fobj>          FineField;

  LinearOperatorBase<FineField> &_Linop;
  Aggregation<Fobj,CComplex,nbasis> &_Aggregate;

  ProjectedHermOp(LinearOperatorBase<FineField>& linop,  Aggregation<Fobj,CComplex,nbasis> &aggregate) : 
    _Linop(linop),
    _Aggregate(aggregate)  {  };

  void operator()(const CoarseField& in, CoarseField& out) {

    GridBase *FineGrid = _Aggregate.FineGrid;
    FineField fin(FineGrid);
    FineField fout(FineGrid);

    _Aggregate.PromoteFromSubspace(in,fin);    std::cout<<GridLogIRL<<"ProjectedHermop : Promote to fine"<<std::endl;
    _Linop.HermOp(fin,fout);                   std::cout<<GridLogIRL<<"ProjectedHermop : HermOp (fine) "<<std::endl;
    _Aggregate.ProjectToSubspace(out,fout);    std::cout<<GridLogIRL<<"ProjectedHermop : Project to coarse "<<std::endl;
  }
};

template<class Fobj,class CComplex,int nbasis>
class ProjectedFunctionHermOp : public LinearFunction<Lattice<iVector<CComplex,nbasis > > > {
public:
  typedef iVector<CComplex,nbasis >           CoarseSiteVector;
  typedef Lattice<CoarseSiteVector>           CoarseField;
  typedef Lattice<CComplex>   CoarseScalar; // used for inner products on fine field
  typedef Lattice<Fobj>          FineField;


  OperatorFunction<FineField>   & _poly;
  LinearOperatorBase<FineField> &_Linop;
  Aggregation<Fobj,CComplex,nbasis> &_Aggregate;

  ProjectedFunctionHermOp(OperatorFunction<FineField> & poly,LinearOperatorBase<FineField>& linop, 
			  Aggregation<Fobj,CComplex,nbasis> &aggregate) : 
    _poly(poly),
    _Linop(linop),
    _Aggregate(aggregate)  {  };

  void operator()(const CoarseField& in, CoarseField& out) {

    GridBase *FineGrid = _Aggregate.FineGrid;

    FineField fin(FineGrid) ;fin.checkerboard  =_Aggregate.checkerboard;
    FineField fout(FineGrid);fout.checkerboard =_Aggregate.checkerboard;
    
    _Aggregate.PromoteFromSubspace(in,fin);    std::cout<<GridLogIRL<<"ProjectedFunctionHermop : Promote to fine"<<std::endl;
    _poly(_Linop,fin,fout);                    std::cout<<GridLogIRL<<"ProjectedFunctionHermop : Poly "<<std::endl;
    _Aggregate.ProjectToSubspace(out,fout);    std::cout<<GridLogIRL<<"ProjectedFunctionHermop : Project to coarse "<<std::endl;
  }
};

template<class Fobj,class CComplex,int nbasis>
class ImplicitlyRestartedLanczosSmoothedTester  : public ImplicitlyRestartedLanczosTester<Lattice<iVector<CComplex,nbasis > > >
{
public:
  typedef iVector<CComplex,nbasis >           CoarseSiteVector;
  typedef Lattice<CoarseSiteVector>           CoarseField;
  typedef Lattice<CComplex>   CoarseScalar; // used for inner products on fine field
  typedef Lattice<Fobj>          FineField;

  LinearFunction<CoarseField> & _Poly;
  OperatorFunction<FineField>   & _smoother;
  LinearOperatorBase<FineField> &_Linop;
  Aggregation<Fobj,CComplex,nbasis> &_Aggregate;
  RealD                             _coarse_relax_tol;
  ImplicitlyRestartedLanczosSmoothedTester(LinearFunction<CoarseField>   &Poly,
					   OperatorFunction<FineField>   &smoother,
					   LinearOperatorBase<FineField> &Linop,
					   Aggregation<Fobj,CComplex,nbasis> &Aggregate,
					   RealD coarse_relax_tol=5.0e3) 
    : _smoother(smoother), _Linop(Linop),_Aggregate(Aggregate), _Poly(Poly), _coarse_relax_tol(coarse_relax_tol)  {    };

  int TestConvergence(int j,RealD eresid,CoarseField &B, RealD &eval,RealD evalMaxApprox)
  {
    CoarseField v(B);
    RealD eval_poly = eval;
    // Apply operator
    _Poly(B,v);

    RealD vnum = real(innerProduct(B,v)); // HermOp.
    RealD vden = norm2(B);
    RealD vv0  = norm2(v);
    eval   = vnum/vden;
    v -= eval*B;

    RealD vv = norm2(v) / ::pow(evalMaxApprox,2.0);

    std::cout.precision(13);
    std::cout<<GridLogIRL  << "[" << std::setw(3)<<j<<"] "
	     <<"eval = "<<std::setw(25)<< eval << " (" << eval_poly << ")"
	     <<" |H B[i] - eval[i]B[i]|^2 / evalMaxApprox^2 " << std::setw(25) << vv
	     <<std::endl;

    int conv=0;
    if( (vv<eresid*eresid) ) conv = 1;
    return conv;
  }
  int ReconstructEval(int j,RealD eresid,CoarseField &B, RealD &eval,RealD evalMaxApprox)
  {
    GridBase *FineGrid = _Aggregate.FineGrid;

    int checkerboard   = _Aggregate.checkerboard;

    FineField fB(FineGrid);fB.checkerboard =checkerboard;
    FineField fv(FineGrid);fv.checkerboard =checkerboard;

    _Aggregate.PromoteFromSubspace(B,fv);
    _smoother(_Linop,fv,fB); 

    RealD eval_poly = eval;
    _Linop.HermOp(fB,fv);

    RealD vnum = real(innerProduct(fB,fv)); // HermOp.
    RealD vden = norm2(fB);
    RealD vv0  = norm2(fv);
    eval   = vnum/vden;
    fv -= eval*fB;
    RealD vv = norm2(fv) / ::pow(evalMaxApprox,2.0);

    std::cout.precision(13);
    std::cout<<GridLogIRL  << "[" << std::setw(3)<<j<<"] "
	     <<"eval = "<<std::setw(25)<< eval << " (" << eval_poly << ")"
	     <<" |H B[i] - eval[i]B[i]|^2 / evalMaxApprox^2 " << std::setw(25) << vv
	     <<std::endl;
    if ( j > nbasis ) eresid = eresid*_coarse_relax_tol;
    if( (vv<eresid*eresid) ) return 1;
    return 0;
  }
};

////////////////////////////////////////////
// Make serializable Lanczos params
////////////////////////////////////////////
template<class Fobj,class CComplex,int nbasis>
class LocalCoherenceLanczos 
{
public:
  typedef iVector<CComplex,nbasis >           CoarseSiteVector;
  typedef Lattice<CComplex>                   CoarseScalar; // used for inner products on fine field
  typedef Lattice<CoarseSiteVector>           CoarseField;
  typedef Lattice<Fobj>                       FineField;

protected:
  GridBase *_CoarseGrid;
  GridBase *_FineGrid;
  int _checkerboard;
  LinearOperatorBase<FineField>                 & _FineOp;
  
  // FIXME replace Aggregation with vector of fine; the code reuse is too small for
  // the hassle and complexity of cross coupling.
  Aggregation<Fobj,CComplex,nbasis>               _Aggregate;  
  std::vector<RealD>                              evals_fine;
  std::vector<RealD>                              evals_coarse; 
  std::vector<CoarseField>                        evec_coarse;
public:
  LocalCoherenceLanczos(GridBase *FineGrid,
			GridBase *CoarseGrid,
			LinearOperatorBase<FineField> &FineOp,
			int checkerboard) :
    _CoarseGrid(CoarseGrid),
    _FineGrid(FineGrid),
    _Aggregate(CoarseGrid,FineGrid,checkerboard),
    _FineOp(FineOp),
    _checkerboard(checkerboard)
  {
    evals_fine.resize(0);
    evals_coarse.resize(0);
  };
  void Orthogonalise(void ) { _Aggregate.Orthogonalise(); }

  template<typename T>  static RealD normalise(T& v) 
  {
    RealD nn = norm2(v);
    nn = ::sqrt(nn);
    v = v * (1.0/nn);
    return nn;
  }

  void fakeFine(void)
  {
    int Nk = nbasis;
    _Aggregate.subspace.resize(Nk,_FineGrid);
    _Aggregate.subspace[0]=1.0;
    _Aggregate.subspace[0].checkerboard=_checkerboard;
    normalise(_Aggregate.subspace[0]);
    PlainHermOp<FineField>    Op(_FineOp);
    for(int k=1;k<Nk;k++){
      _Aggregate.subspace[k].checkerboard=_checkerboard;
      Op(_Aggregate.subspace[k-1],_Aggregate.subspace[k]);
      normalise(_Aggregate.subspace[k]);
    }
  }

  void testFine(RealD resid) 
  {
    assert(evals_fine.size() == nbasis);
    assert(_Aggregate.subspace.size() == nbasis);
    PlainHermOp<FineField>    Op(_FineOp);
    ImplicitlyRestartedLanczosHermOpTester<FineField> SimpleTester(Op);
    for(int k=0;k<nbasis;k++){
      assert(SimpleTester.ReconstructEval(k,resid,_Aggregate.subspace[k],evals_fine[k],1.0)==1);
    }
  }

  void testCoarse(RealD resid,ChebyParams cheby_smooth,RealD relax) 
  {
    assert(evals_fine.size() == nbasis);
    assert(_Aggregate.subspace.size() == nbasis);
    //////////////////////////////////////////////////////////////////////////////////////////////////
    // create a smoother and see if we can get a cheap convergence test and smooth inside the IRL
    //////////////////////////////////////////////////////////////////////////////////////////////////
    Chebyshev<FineField>                          ChebySmooth(cheby_smooth);
    ProjectedFunctionHermOp<Fobj,CComplex,nbasis> ChebyOp (ChebySmooth,_FineOp,_Aggregate);
    ImplicitlyRestartedLanczosSmoothedTester<Fobj,CComplex,nbasis> ChebySmoothTester(ChebyOp,ChebySmooth,_FineOp,_Aggregate,relax);

    for(int k=0;k<evec_coarse.size();k++){
      if ( k < nbasis ) { 
	assert(ChebySmoothTester.ReconstructEval(k,resid,evec_coarse[k],evals_coarse[k],1.0)==1);
      } else { 
	assert(ChebySmoothTester.ReconstructEval(k,resid*relax,evec_coarse[k],evals_coarse[k],1.0)==1);
      }
    }
  }

  void calcFine(ChebyParams cheby_parms,int Nstop,int Nk,int Nm,RealD resid, 
		RealD MaxIt, RealD betastp, int MinRes)
  {
    assert(nbasis<=Nm);
    Chebyshev<FineField>      Cheby(cheby_parms);
    FunctionHermOp<FineField> ChebyOp(Cheby,_FineOp);
    PlainHermOp<FineField>    Op(_FineOp);

    evals_fine.resize(Nm);
    _Aggregate.subspace.resize(Nm,_FineGrid);

    ImplicitlyRestartedLanczos<FineField> IRL(ChebyOp,Op,Nstop,Nk,Nm,resid,MaxIt,betastp,MinRes);

    FineField src(_FineGrid); src=1.0; src.checkerboard = _checkerboard;

    int Nconv;
    IRL.calc(evals_fine,_Aggregate.subspace,src,Nconv,false);
    
    // Shrink down to number saved
    assert(Nstop>=nbasis);
    assert(Nconv>=nbasis);
    evals_fine.resize(nbasis);
    _Aggregate.subspace.resize(nbasis,_FineGrid);
  }
  void calcCoarse(ChebyParams cheby_op,ChebyParams cheby_smooth,RealD relax,
		  int Nstop, int Nk, int Nm,RealD resid, 
		  RealD MaxIt, RealD betastp, int MinRes)
  {
    Chebyshev<FineField>                          Cheby(cheby_op);
    ProjectedHermOp<Fobj,CComplex,nbasis>         Op(_FineOp,_Aggregate);
    ProjectedFunctionHermOp<Fobj,CComplex,nbasis> ChebyOp (Cheby,_FineOp,_Aggregate);
    //////////////////////////////////////////////////////////////////////////////////////////////////
    // create a smoother and see if we can get a cheap convergence test and smooth inside the IRL
    //////////////////////////////////////////////////////////////////////////////////////////////////

    Chebyshev<FineField>                                           ChebySmooth(cheby_smooth);
    ImplicitlyRestartedLanczosSmoothedTester<Fobj,CComplex,nbasis> ChebySmoothTester(ChebyOp,ChebySmooth,_FineOp,_Aggregate,relax);

    evals_coarse.resize(Nm);
    evec_coarse.resize(Nm,_CoarseGrid);

    CoarseField src(_CoarseGrid);     src=1.0; 

    ImplicitlyRestartedLanczos<CoarseField> IRL(ChebyOp,ChebyOp,ChebySmoothTester,Nstop,Nk,Nm,resid,MaxIt,betastp,MinRes);
    int Nconv=0;
    IRL.calc(evals_coarse,evec_coarse,src,Nconv,false);
    assert(Nconv>=Nstop);
    evals_coarse.resize(Nstop);
    evec_coarse.resize (Nstop,_CoarseGrid);
    for (int i=0;i<Nstop;i++){
      std::cout << i << " Coarse eval = " << evals_coarse[i]  << std::endl;
    }
  }
};

NAMESPACE_END(Grid);
#endif