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True Hierachical multigrid for DWF
This commit is contained in:
Peter Boyle
parent
2b5de5bba5
commit
852fc1b001
@ -1,3 +1,5 @@
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/*************************************************************************************
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Grid physics library, www.github.com/paboyle/Grid
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@ -29,357 +31,174 @@ Author: paboyle <paboyle@ph.ed.ac.uk>
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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 <algorithms/iterative/PrecConjugateResidual.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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class myclass: Serializable {
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public:
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GRID_SERIALIZABLE_CLASS_MEMBERS(myclass,
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int, domaindecompose,
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int, domainsize,
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int, order,
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int, Ls,
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double, mq,
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double, lo,
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double, hi,
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int, steps);
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myclass(){};
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};
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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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RealD InverseApproximation(RealD x){
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return 1.0/x;
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}
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template<class Fobj,class CComplex,int nbasis, class Matrix, class Guesser>
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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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template<class Fobj,class CComplex,int nbasis, class Matrix, class Guesser, class CoarseSolver>
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class MultiGridPreconditioner : 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>::siteVector siteVector;
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typedef typename Aggregation<Fobj,CComplex,nbasis>::CoarseScalar CoarseScalar;
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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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CoarseOperator & _CoarseOperator;
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Matrix & _FineMatrix;
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FineOperator & _FineOperator;
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Matrix & _SmootherMatrix;
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FineOperator & _SmootherOperator;
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Guesser & _Guess;
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FineSmoother & _Smoother;
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CoarseSolver & _CoarseSolve;
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double cheby_hi;
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double cheby_lo;
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int cheby_ord;
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int level; void Level(int lv) {level = lv; };
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myclass _params;
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#define GridLogLevel std::cout << GridLogMessage <<std::string(level,'\t')<< " Level "<<level <<" "
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// Constructor
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MultiGridPreconditioner(Aggregates &Agg, CoarseOperator &Coarse,
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FineOperator &Fine,Matrix &FineMatrix,
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FineOperator &Smooth,Matrix &SmootherMatrix,
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FineSmoother &Smoother,
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Guesser &Guess_,
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myclass params_)
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CoarseSolver &CoarseSolve_)
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: _Aggregates(Agg),
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_CoarseOperator(Coarse),
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_FineOperator(Fine),
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_FineMatrix(FineMatrix),
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_SmootherOperator(Smooth),
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_SmootherMatrix(SmootherMatrix),
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_Smoother(Smoother),
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_Guess(Guess_),
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_params(params_)
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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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}
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void PowerMethod(const FineField &in) {
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FineField p1(in.Grid());
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FineField p2(in.Grid());
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MdagMLinearOperator<Matrix,FineField> fMdagMOp(_FineMatrix);
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p1=in;
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for(int i=0;i<50;i++){
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RealD absp1=std::sqrt(norm2(p1));
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fMdagMOp.HermOp(p1,p2);// this is the G5 herm bit
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// _FineOperator.Op(p1,p2);// this is the G5 herm bit
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RealD absp2=std::sqrt(norm2(p2));
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if(i%10==9)
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std::cout<<GridLogMessage << "Power method on mdagm "<<i<<" " << absp2/absp1<<std::endl;
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p1=p2*(1.0/std::sqrt(absp2));
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}
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}
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void operator()(const FineField &in, FineField & out ) {
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operatorCheby(in,out);
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//operatorADEF2(in,out);
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}
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////////////////////////////////////////////////////////////////////////
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// ADEF2: [PTM+Q] in = [1 - Q A] M in + Q in = Min + Q [ in -A Min]
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// ADEF1: [MP+Q ] in =M [1 - A Q] in + Q in
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////////////////////////////////////////////////////////////////////////
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#if 1
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void operatorADEF2(const FineField &in, FineField & out) {
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CoarseVector Csrc(_CoarseOperator.Grid());
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CoarseVector Ctmp(_CoarseOperator.Grid());
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CoarseVector Csol(_CoarseOperator.Grid());
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ConjugateGradient<CoarseVector> CG(1.0e-3,100,false);
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ConjugateGradient<FineField> fCG(1.0e-3,10,false);
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HermitianLinearOperator<CoarseOperator,CoarseVector> HermOp(_CoarseOperator);
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MdagMLinearOperator<CoarseOperator,CoarseVector> MdagMOp(_CoarseOperator);
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MdagMLinearOperator<Matrix,FineField> fMdagMOp(_FineMatrix);
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FineField tmp(in.Grid());
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FineField res(in.Grid());
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FineField Min(in.Grid());
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// Monitor completeness of low mode space
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_Aggregates.ProjectToSubspace (Csrc,in);
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_Aggregates.PromoteFromSubspace(Csrc,out);
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std::cout<<GridLogMessage<<"Coarse Grid Preconditioner\nCompleteness in: "<<std::sqrt(norm2(out)/norm2(in))<<std::endl;
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// [PTM+Q] in = [1 - Q A] M in + Q in = Min + Q [ in -A Min]
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_FineOperator.Op(in,tmp);// this is the G5 herm bit
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fCG(fMdagMOp,tmp,Min); // solves MdagM = g5 M g5M
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// Monitor completeness of low mode space
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_Aggregates.ProjectToSubspace (Csrc,Min);
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_Aggregates.PromoteFromSubspace(Csrc,out);
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std::cout<<GridLogMessage<<"Completeness Min: "<<std::sqrt(norm2(out)/norm2(Min))<<std::endl;
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_FineOperator.Op(Min,tmp);
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tmp = in - tmp; // in - A Min
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_Aggregates.ProjectToSubspace (Csrc,tmp);
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HermOp.AdjOp(Csrc,Ctmp);// Normal equations
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_Guess(Ctmp,Csol);
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CG(MdagMOp,Ctmp,Csol);
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HermOp.Op(Csol,Ctmp);
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Ctmp=Ctmp-Csrc;
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std::cout<<GridLogMessage<<"coarse space true residual "<<std::sqrt(norm2(Ctmp)/norm2(Csrc))<<std::endl;
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_Aggregates.PromoteFromSubspace(Csol,out);
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_FineOperator.Op(out,res);
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res=res-tmp;
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std::cout<<GridLogMessage<<"promoted sol residual "<<std::sqrt(norm2(res)/norm2(tmp))<<std::endl;
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_Aggregates.ProjectToSubspace (Csrc,res);
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std::cout<<GridLogMessage<<"coarse space proj of residual "<<norm2(Csrc)<<std::endl;
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out = out+Min; // additive coarse space correction
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// out = Min; // no additive coarse space correction
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_FineOperator.Op(out,tmp);
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tmp=tmp-in; // tmp is new residual
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std::cout<<GridLogMessage<< " Preconditioner in " << norm2(in)<<std::endl;
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std::cout<<GridLogMessage<< " Preconditioner out " << norm2(out)<<std::endl;
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std::cout<<GridLogMessage<<"preconditioner thinks residual is "<<std::sqrt(norm2(tmp)/norm2(in))<<std::endl;
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}
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#endif
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// ADEF1: [MP+Q ] in =M [1 - A Q] in + Q in
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#if 1
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void operatorADEF1(const FineField &in, FineField & out) {
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CoarseVector Csrc(_CoarseOperator.Grid());
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CoarseVector Ctmp(_CoarseOperator.Grid());
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CoarseVector Csol(_CoarseOperator.Grid()); Csol=Zero();
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ConjugateGradient<CoarseVector> CG(1.0e-10,100000);
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ConjugateGradient<FineField> fCG(1.0e-3,1000);
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HermitianLinearOperator<CoarseOperator,CoarseVector> HermOp(_CoarseOperator);
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MdagMLinearOperator<CoarseOperator,CoarseVector> MdagMOp(_CoarseOperator);
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ShiftedMdagMLinearOperator<Matrix,FineField> fMdagMOp(_FineMatrix,0.1);
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FineField tmp(in.Grid());
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FineField res(in.Grid());
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FineField Qin(in.Grid());
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// Monitor completeness of low mode space
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// _Aggregates.ProjectToSubspace (Csrc,in);
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// _Aggregates.PromoteFromSubspace(Csrc,out);
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// std::cout<<GridLogMessage<<"Coarse Grid Preconditioner\nCompleteness in: "<<std::sqrt(norm2(out)/norm2(in))<<std::endl;
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_Aggregates.ProjectToSubspace (Csrc,in);
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HermOp.AdjOp(Csrc,Ctmp);// Normal equations
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CG(MdagMOp,Ctmp,Csol);
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_Aggregates.PromoteFromSubspace(Csol,Qin);
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// Qin=0;
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_FineOperator.Op(Qin,tmp);// A Q in
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tmp = in - tmp; // in - A Q in
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_FineOperator.Op(tmp,res);// this is the G5 herm bit
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fCG(fMdagMOp,res,out); // solves MdagM = g5 M g5M
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out = out + Qin;
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_FineOperator.Op(out,tmp);
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tmp=tmp-in; // tmp is new residual
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std::cout<<GridLogMessage<<"preconditioner thinks residual is "<<std::sqrt(norm2(tmp)/norm2(in))<<std::endl;
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}
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#endif
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void SmootherTest (const FineField & in){
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FineField vec1(in.Grid());
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FineField vec2(in.Grid());
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RealD lo[3] = { 0.5, 1.0, 2.0};
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// MdagMLinearOperator<Matrix,FineField> fMdagMOp(_FineMatrix);
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ShiftedMdagMLinearOperator<Matrix,FineField> fMdagMOp(_SmootherMatrix,0.0);
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RealD Ni,r;
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Ni = norm2(in);
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for(int ilo=0;ilo<3;ilo++){
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for(int ord=5;ord<50;ord*=2){
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std::cout << " lo "<<lo[ilo]<<" order "<<ord<<std::endl;
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_SmootherOperator.AdjOp(in,vec1);
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Chebyshev<FineField> Cheby (lo[ilo],70.0,ord,InverseApproximation);
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Cheby(fMdagMOp,vec1,vec2); // solves MdagM = g5 M g5M
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_FineOperator.Op(vec2,vec1);// this is the G5 herm bit
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vec1 = in - vec1; // tmp = in - A Min
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r=norm2(vec1);
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std::cout<<GridLogMessage << "Smoother resid "<<std::sqrt(r/Ni)<<std::endl;
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}
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}
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}
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void operatorCheby(const FineField &in, FineField & out) {
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CoarseVector Csrc(_CoarseOperator.Grid());
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CoarseVector Ctmp(_CoarseOperator.Grid());
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CoarseVector Ctmp1(_CoarseOperator.Grid());
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CoarseVector Csol(_CoarseOperator.Grid());
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ConjugateGradient<CoarseVector> CG(5.0e-2,100000);
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HermitianLinearOperator<CoarseOperator,CoarseVector> HermOp(_CoarseOperator);
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MdagMLinearOperator<CoarseOperator,CoarseVector> MdagMOp(_CoarseOperator);
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// MdagMLinearOperator<Matrix,FineField> fMdagMOp(_FineMatrix);
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ShiftedMdagMLinearOperator<Matrix,FineField> fMdagMOp(_SmootherMatrix,0.0);
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FineField vec1(in.Grid());
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FineField vec2(in.Grid());
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Chebyshev<FineField> Cheby (_params.lo,_params.hi,_params.order,InverseApproximation);
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Chebyshev<FineField> ChebyAccu(_params.lo,_params.hi,_params.order,InverseApproximation);
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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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// _Aggregates.ProjectToSubspace (Csrc,in);
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// _Aggregates.PromoteFromSubspace(Csrc,out);
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// std::cout<<GridLogMessage<<"Completeness: "<<std::sqrt(norm2(out)/norm2(in))<<std::endl;
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// ofstream fout("smoother");
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// Cheby.csv(fout);
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// Update the residual
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_FineOperator.Op(out,vec1); sub(vec1, in ,vec1);
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// V11 multigrid.
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// Use a fixed chebyshev and hope hermiticity helps.
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// To make a working smoother for indefinite operator
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// must multiply by "Mdag" (ouch loses all low mode content)
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// and apply to poly approx of (mdagm)^-1.
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// so that we end up with an odd polynomial.
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RealD Ni = norm2(in);
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std::cout<<GridLogMessage << "Smoother calling Cheby" <<std::endl;
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_SmootherOperator.AdjOp(in,vec1);// this is the G5 herm bit
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ChebyAccu(fMdagMOp,vec1,out); // solves MdagM = g5 M g5M
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std::cout<<GridLogMessage << "Smoother called Cheby" <<std::endl;
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// Update with residual for out
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_FineOperator.Op(out,vec1);// this is the G5 herm bit
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vec1 = in - vec1; // tmp = in - A Min
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RealD r = norm2(vec1);
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std::cout<<GridLogMessage << "Smoother resid "<<std::sqrt(r/Ni)<< " " << r << " " << Ni <<std::endl;
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std::cout<<GridLogMessage << "ProjectToSubspace" <<std::endl;
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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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std::cout<<GridLogMessage << "ProjectToSubspaceDone" <<std::endl;
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HermOp.AdjOp(Csrc,Ctmp1);// Normal equations
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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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_Guess(Ctmp1,Csol);
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CG(MdagMOp,Ctmp1,Csol);
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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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//////////////////////////////
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// Recompute true residual
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//////////////////////////////
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MdagMOp.HermOp(Csol,Ctmp);
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Ctmp = Ctmp1 - Ctmp; // r=Csrc - M^dagM sol // This is already computed inside CG
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HermOp.AdjOp(Ctmp,Ctmp1);// Normal equations
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_Guess(Ctmp1,Ctmp); // sol = sol' + MdagM^-1 (Csrc' - MdagM sol')
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Csol = Csol + Ctmp;
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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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std::cout<<GridLogMessage << "PromoteFromSubspace" <<std::endl;
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_Aggregates.PromoteFromSubspace(Csol,vec1); // Ass^{-1} [in - A Min]_s
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// Q = Q[in - A Min]
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||||
std::cout<<GridLogMessage << "PromoteFromSubspaceDone" <<std::endl;
|
||||
out = out+vec1;
|
||||
// Residual
|
||||
_FineOperator.Op(out,vec1); sub(vec1 ,in , vec1);
|
||||
|
||||
// Three preconditioner smoothing -- hermitian if C3 = C1
|
||||
// Recompute error
|
||||
_FineOperator.Op(out,vec1);// this is the G5 herm bit
|
||||
std::cout<<GridLogMessage << "FineOp" <<std::endl;
|
||||
vec1 = in - vec1; // tmp = in - A Min
|
||||
r=norm2(vec1);
|
||||
|
||||
std::cout<<GridLogMessage << "Coarse resid "<<std::sqrt(r/Ni)<<std::endl;
|
||||
|
||||
// Reapply smoother
|
||||
std::cout<<GridLogMessage << "Smoother calling Cheby" <<std::endl;
|
||||
_SmootherOperator.Op(vec1,vec2); // this is the G5 herm bit
|
||||
ChebyAccu(fMdagMOp,vec2,vec1); // solves MdagM = g5 M g5M
|
||||
std::cout<<GridLogMessage << "Smoother called Cheby" <<std::endl;
|
||||
|
||||
out =out+vec1;
|
||||
vec1 = in - vec1; // tmp = in - A Min
|
||||
r=norm2(vec1);
|
||||
std::cout<<GridLogMessage << "Smoother resid "<<std::sqrt(r/Ni)<<std::endl;
|
||||
// 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);
|
||||
|
||||
myclass params;
|
||||
myclass cparams;
|
||||
|
||||
XmlReader RD("params.xml");
|
||||
read(RD,"params",params);
|
||||
std::cout<<"Params: Order "<<params.order<<"["<<params.lo<<","<<params.hi<<"]"<< " steps "<<params.steps<<std::endl;
|
||||
|
||||
const int Ls=params.Ls;
|
||||
const int Ls=16;
|
||||
|
||||
GridCartesian * UGrid = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplex::Nsimd()),GridDefaultMpi());
|
||||
GridRedBlackCartesian * UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
|
||||
@ -391,15 +210,22 @@ int main (int argc, char ** argv)
|
||||
// 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});
|
||||
@ -407,49 +233,20 @@ int main (int argc, char ** argv)
|
||||
GridParallelRNG RNG5(FGrid); RNG5.SeedFixedIntegers(seeds5);
|
||||
GridParallelRNG RNG4(UGrid); RNG4.SeedFixedIntegers(seeds4);
|
||||
GridParallelRNG CRNG(Coarse5d);CRNG.SeedFixedIntegers(cseeds);
|
||||
|
||||
Gamma g5(Gamma::Algebra::Gamma5);
|
||||
|
||||
LatticeFermion src(FGrid); gaussian(RNG5,src);// src=src+g5*src;
|
||||
LatticeFermion result(FGrid); result=Zero();
|
||||
LatticeFermion ref(FGrid); ref=Zero();
|
||||
LatticeFermion tmp(FGrid);
|
||||
LatticeFermion err(FGrid);
|
||||
LatticeFermion result(FGrid);
|
||||
LatticeGaugeField Umu(UGrid);
|
||||
LatticeGaugeField UmuDD(UGrid);
|
||||
LatticeColourMatrix U(UGrid);
|
||||
LatticeColourMatrix zz(UGrid);
|
||||
|
||||
FieldMetaData header;
|
||||
std::string file("./ckpoint_lat.4000");
|
||||
NerscIO::readConfiguration(Umu,header,file);
|
||||
|
||||
|
||||
if ( params.domaindecompose ) {
|
||||
Lattice<iScalar<vInteger> > coor(UGrid);
|
||||
zz=Zero();
|
||||
for(int mu=0;mu<Nd;mu++){
|
||||
LatticeCoordinate(coor,mu);
|
||||
U = PeekIndex<LorentzIndex>(Umu,mu);
|
||||
U = where(mod(coor,params.domainsize)==(Integer)0,zz,U);
|
||||
PokeIndex<LorentzIndex>(UmuDD,U,mu);
|
||||
}
|
||||
} else {
|
||||
UmuDD = Umu;
|
||||
}
|
||||
// SU3::ColdConfiguration(RNG4,Umu);
|
||||
// SU3::TepidConfiguration(RNG4,Umu);
|
||||
// SU3::HotConfiguration(RNG4,Umu);
|
||||
// Umu=Zero();
|
||||
|
||||
RealD mass=params.mq;
|
||||
RealD M5=1.8;
|
||||
|
||||
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 DdwfDD(UmuDD,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5);
|
||||
|
||||
typedef Aggregation<vSpinColourVector,vTComplex,nbasis> Subspace;
|
||||
typedef CoarsenedMatrix<vSpinColourVector,vTComplex,nbasis> CoarseOperator;
|
||||
@ -463,204 +260,140 @@ int main (int argc, char ** argv)
|
||||
Subspace Aggregates(Coarse5d,FGrid,0);
|
||||
|
||||
assert ( (nbasis & 0x1)==0);
|
||||
|
||||
{
|
||||
int nb=nbasis/2;
|
||||
std::cout<<GridLogMessage << " nbasis/2 = "<<nb<<std::endl;
|
||||
|
||||
Aggregates.CreateSubspaceChebyshev(RNG5,HermDefOp,nb,60.0,0.02,500,110);
|
||||
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 << "Building coarse representation of Indef operator" <<std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
Gamma5R5HermitianLinearOperator<DomainWallFermionR,LatticeFermion> HermIndefOp(Ddwf);
|
||||
Gamma5R5HermitianLinearOperator<DomainWallFermionR,LatticeFermion> HermIndefOpDD(DdwfDD);
|
||||
CoarsenedMatrix<vSpinColourVector,vTComplex,nbasis> LDOp(*Coarse5d,1); // Hermitian matrix
|
||||
LDOp.CoarsenOperator(FGrid,HermIndefOp,Aggregates);
|
||||
exit(0);
|
||||
typedef CoarsenedMatrix<vSpinColourVector,vTComplex,nbasis> Level1Op;
|
||||
typedef CoarsenedMatrix<siteVector,iScalar<vTComplex>,nbasisc> Level2Op;
|
||||
|
||||
Gamma5R5HermitianLinearOperator<DomainWallFermionR,LatticeFermion> HermIndefOp(Ddwf);
|
||||
|
||||
Level1Op LDOp(*Coarse5d,1); LDOp.CoarsenOperator(FGrid,HermIndefOp,Aggregates);
|
||||
|
||||
CoarseVector c_src (Coarse5d);
|
||||
CoarseVector c_res (Coarse5d);
|
||||
gaussian(CRNG,c_src);
|
||||
result=Zero();
|
||||
c_res=Zero();
|
||||
|
||||
//////////////////////////////////////////////////
|
||||
// Deflate the course space. Recursive multigrid?
|
||||
//////////////////////////////////////////////////
|
||||
|
||||
typedef CoarsenedMatrix<vSpinColourVector,vTComplex,nbasis> Level1Op;
|
||||
typedef CoarsenedMatrix<siteVector,iScalar<vTComplex>,nbasis> Level2Op;
|
||||
|
||||
auto cclatt = clatt;
|
||||
for(int d=0;d<clatt.size();d++){
|
||||
cclatt[d] = clatt[d]/block[d];
|
||||
}
|
||||
GridCartesian *CoarseCoarse4d = SpaceTimeGrid::makeFourDimGrid(cclatt, GridDefaultSimd(Nd,vComplex::Nsimd()),GridDefaultMpi());;
|
||||
GridCartesian *CoarseCoarse5d = SpaceTimeGrid::makeFiveDimGrid(1,CoarseCoarse4d);
|
||||
|
||||
typedef Aggregation<siteVector,iScalar<vTComplex>,nbasis> CoarseSubspace;
|
||||
typedef Aggregation<siteVector,iScalar<vTComplex>,nbasisc> CoarseSubspace;
|
||||
CoarseSubspace CoarseAggregates(CoarseCoarse5d,Coarse5d,0);
|
||||
|
||||
double c_first = 0.2;
|
||||
double c_div = 1.2;
|
||||
std::vector<double> c_lo(nbasis/2);
|
||||
c_lo[0] = c_first;
|
||||
for(int b=1;b<nbasis/2;b++) {
|
||||
c_lo[b] = c_lo[b-1]/c_div;
|
||||
}
|
||||
std::vector<int> c_ord(nbasis/2,200);
|
||||
c_ord[0]=500;
|
||||
|
||||
#define RECURSIVE_MULTIGRID
|
||||
#ifdef RECURSIVE_MULTIGRID
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << "Build deflation space in coarse operator "<< std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
|
||||
MdagMLinearOperator<CoarseOperator,CoarseVector> PosdefLdop(LDOp);
|
||||
// CoarseAggregates.CreateSubspaceChebyshev(CRNG,PosdefLdop,nbasis,14.0,c_lo,c_ord);
|
||||
// CoarseAggregates.CreateSubspaceRandom(CRNG);
|
||||
{
|
||||
int nb=nbasisc/2;
|
||||
CoarseAggregates.CreateSubspaceChebyshev(CRNG,PosdefLdop,nb,12.0,0.02,500,100,100,0.0);
|
||||
for(int n=0;n<nb;n++){
|
||||
auto subspace = CoarseAggregates.subspace[n].View();
|
||||
auto subspace_g5 = CoarseAggregates.subspace[n+nb].View();
|
||||
for(int nn=0;nn<nb;nn++){
|
||||
for(int site=0;site<Coarse5d->oSites();site++){
|
||||
subspace_g5[site](nn) = subspace[site](nn);
|
||||
subspace_g5[site](nn+nb)=-subspace[site](nn+nb);
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
// Level2Op L2Op(*CoarseCoarse5d,1); // Hermitian matrix
|
||||
// HermitianLinearOperator<Level1Op,CoarseVector> L1LinOp(LDOp);
|
||||
// L2Op.CoarsenOperator(Coarse5d,L1LinOp,CoarseAggregates);
|
||||
#endif
|
||||
Level2Op L2Op(*CoarseCoarse5d,1); // Hermitian matrix
|
||||
typedef Level2Op::CoarseVector CoarseCoarseVector;
|
||||
HermitianLinearOperator<Level1Op,CoarseVector> L1LinOp(LDOp);
|
||||
L2Op.CoarsenOperator(Coarse5d,L1LinOp,CoarseAggregates);
|
||||
|
||||
|
||||
// std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
// std::cout<<GridLogMessage << "Unprec CG "<< std::endl;
|
||||
// std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << " Running CoarseCoarse grid Lanczos "<< std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
|
||||
// TrivialPrecon<LatticeFermion> simple;
|
||||
// ConjugateGradient<LatticeFermion> fCG(1.0e-8,100000);
|
||||
// fCG(HermDefOp,src,result);
|
||||
MdagMLinearOperator<Level2Op,CoarseCoarseVector> IRLHermOpL2(L2Op);
|
||||
Chebyshev<CoarseCoarseVector> IRLChebyL2(0.001,4.2,71);
|
||||
FunctionHermOp<CoarseCoarseVector> IRLOpChebyL2(IRLChebyL2,IRLHermOpL2);
|
||||
PlainHermOp<CoarseCoarseVector> IRLOpL2 (IRLHermOpL2);
|
||||
int cNk=24;
|
||||
int cNm=36;
|
||||
int cNstop=24;
|
||||
ImplicitlyRestartedLanczos<CoarseCoarseVector> IRLL2(IRLOpChebyL2,IRLOpL2,cNstop,cNk,cNm,1.0e-3,20);
|
||||
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << "Red Black Prec CG "<< std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
LatticeFermion src_o(FrbGrid);
|
||||
LatticeFermion result_o(FrbGrid);
|
||||
pickCheckerboard(Odd,src_o,src);
|
||||
result_o=Zero();
|
||||
SchurDiagMooeeOperator<DomainWallFermionR,LatticeFermion> HermOpEO(Ddwf);
|
||||
ConjugateGradient<LatticeFermion> pCG(1.0e-8,10000);
|
||||
// pCG(HermOpEO,src_o,result_o);
|
||||
int cNconv;
|
||||
std::vector<RealD> eval2(cNm);
|
||||
std::vector<CoarseCoarseVector> evec2(cNm,CoarseCoarse5d);
|
||||
CoarseCoarseVector cc_src(CoarseCoarse5d); cc_src=1.0;
|
||||
IRLL2.calc(eval2,evec2,cc_src,cNconv);
|
||||
|
||||
ConjugateGradient<CoarseCoarseVector> CoarseCoarseCG(0.1,1000);
|
||||
DeflatedGuesser<CoarseCoarseVector> DeflCoarseCoarseGuesser(evec2,eval2);
|
||||
NormalEquations<CoarseCoarseVector> DeflCoarseCoarseCGNE(L2Op,CoarseCoarseCG,DeflCoarseCoarseGuesser);
|
||||
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << "Building 3 level Multigrid "<< std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
typedef MultiGridPreconditioner<vSpinColourVector, vTComplex,nbasis, DomainWallFermionR,DeflatedGuesser<CoarseVector> , NormalEquations<CoarseVector> > TwoLevelMG;
|
||||
typedef MultiGridPreconditioner<siteVector,iScalar<vTComplex>,nbasisc,Level1Op, DeflatedGuesser<CoarseCoarseVector>, NormalEquations<CoarseCoarseVector> > CoarseMG;
|
||||
typedef MultiGridPreconditioner<vSpinColourVector, vTComplex,nbasis, DomainWallFermionR,ZeroGuesser<CoarseVector>, LinearFunction<CoarseVector> > ThreeLevelMG;
|
||||
|
||||
// MultiGrid preconditioner acting on the coarse space <-> coarsecoarse space
|
||||
ChebyshevSmoother<CoarseVector, Level1Op > CoarseSmoother(0.1,12.0,3,L1LinOp,LDOp);
|
||||
ChebyshevSmoother<LatticeFermion,DomainWallFermionR> FineSmoother(0.5,60.0,10,HermIndefOp,Ddwf);
|
||||
|
||||
// MirsSmoother<CoarseVector, Level1Op > CoarseCGSmoother(0.1,0.1,4,L1LinOp,LDOp);
|
||||
// MirsSmoother<LatticeFermion,DomainWallFermionR> FineCGSmoother(0.0,0.01,8,HermIndefOp,Ddwf);
|
||||
|
||||
CoarseMG Level2Precon (CoarseAggregates, L2Op,
|
||||
L1LinOp,LDOp,
|
||||
CoarseSmoother,
|
||||
DeflCoarseCoarseGuesser,
|
||||
DeflCoarseCoarseCGNE);
|
||||
Level2Precon.Level(2);
|
||||
|
||||
// PGCR Applying this solver to solve the coarse space problem
|
||||
PrecGeneralisedConjugateResidual<CoarseVector> l2PGCR(0.1, 100, L1LinOp,Level2Precon,16,16);
|
||||
l2PGCR.Level(2);
|
||||
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << " Running coarse grid Lanczos "<< std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
MdagMLinearOperator<Level1Op,CoarseVector> IRLHermOp(LDOp);
|
||||
Chebyshev<CoarseVector> IRLCheby(0.005,16.0,51);
|
||||
// IRLCheby.InitLowPass(0.01,18.0,51);
|
||||
FunctionHermOp<CoarseVector> IRLOpCheby(IRLCheby,IRLHermOp);
|
||||
PlainHermOp<CoarseVector> IRLOp (IRLHermOp);
|
||||
|
||||
int Nstop=24;
|
||||
int Nk=24;
|
||||
int Nm=48;
|
||||
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 << "coarse grid CG "<< std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
|
||||
// ConjugateGradient<CoarseVector> CG(3.0e-3,100000);
|
||||
// CG(PosdefLdop,c_src,c_res);
|
||||
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << "coarse grid Deflated CG with "<< eval.size() << " evecs" << std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
|
||||
c_res=Zero();
|
||||
DeflatedGuesser<CoarseVector> DeflCoarseGuesser(evec,eval);
|
||||
DeflCoarseGuesser(c_src,c_res);
|
||||
// CG(PosdefLdop,c_src,c_res);
|
||||
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage <<" Applying Fine power method to find spectral range "<<std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
|
||||
// Wrap the 2nd level solver in a MultiGrid preconditioner acting on the fine space
|
||||
ZeroGuesser<CoarseVector> CoarseZeroGuesser;
|
||||
ThreeLevelMG ThreeLevelPrecon(Aggregates, LDOp,
|
||||
HermIndefOp,Ddwf,
|
||||
FineSmoother,
|
||||
CoarseZeroGuesser,
|
||||
l2PGCR);
|
||||
ThreeLevelPrecon.Level(1);
|
||||
|
||||
MultiGridPreconditioner <vSpinColourVector,vTComplex,nbasis,DomainWallFermionR,
|
||||
ZeroGuesser<CoarseVector> >
|
||||
Precon (Aggregates, LDOp,
|
||||
HermIndefOp,Ddwf,
|
||||
HermIndefOp,Ddwf,
|
||||
CoarseZeroGuesser,
|
||||
params);
|
||||
// Apply the fine-coarse-coarsecoarse 2 deep MG preconditioner in an outer PGCR on the fine fgrid
|
||||
PrecGeneralisedConjugateResidual<LatticeFermion> l1PGCR(1.0e-8,1000,HermIndefOp,ThreeLevelPrecon,16,16);
|
||||
l1PGCR.Level(1);
|
||||
|
||||
// Precon.PowerMethod(src);
|
||||
|
||||
/*
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage <<" Applying Coarse power method to find spectral range "<<std::endl;
|
||||
std::cout<<GridLogMessage << "Calling 3 level Multigrid "<< std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
|
||||
cparams = params;
|
||||
cparams.hi = 20.0;
|
||||
cparams.lo = 0.2;
|
||||
cparams.order= 20;
|
||||
|
||||
MultiGridPreconditioner <siteVector,iScalar<vTComplex>,nbasis,Level1Op,ZeroGuesser<CoarseVector> >
|
||||
CoarsePrecon (CoarseAggregates,
|
||||
L2Op,
|
||||
L1LinOp,LDOp,
|
||||
L1LinOp,LDOp,
|
||||
CoarseZeroGuesser,
|
||||
cparams);
|
||||
|
||||
CoarsePrecon.PowerMethod(c_src);
|
||||
*/
|
||||
|
||||
/*
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << "Building a two level PGCR "<< std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
PrecGeneralisedConjugateResidual<LatticeFermion> PGCR(1.0e-8,100000,Precon,8,8);
|
||||
std::cout<<GridLogMessage<<"checking norm src "<<norm2(src)<<std::endl;
|
||||
result=Zero();
|
||||
PGCR(HermIndefOp,src,result);
|
||||
*/
|
||||
l1PGCR(src,result);
|
||||
|
||||
CoarseVector c_src(Coarse5d); c_src=1.0;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << "Building a two level deflated PGCR "<< std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
|
||||
MultiGridPreconditioner <vSpinColourVector,vTComplex,nbasis,DomainWallFermionR, DeflatedGuesser<CoarseVector> >
|
||||
DeflatedPrecon (Aggregates, LDOp,
|
||||
HermIndefOp,Ddwf,
|
||||
HermIndefOp,Ddwf,
|
||||
DeflCoarseGuesser,
|
||||
params);
|
||||
|
||||
PrecGeneralisedConjugateResidual<LatticeFermion> deflPGCR(1.0e-8,100000,DeflatedPrecon,16,16);
|
||||
|
||||
std::cout<<GridLogMessage<<"checking norm src "<<norm2(src)<<std::endl;
|
||||
result=Zero();
|
||||
deflPGCR(HermIndefOp,src,result);
|
||||
|
||||
|
||||
/*
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << "Building deflation preconditioner "<< std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
|
||||
PrecGeneralisedConjugateResidual<CoarseVector> CPGCR(1.0e-3,10000,CoarsePrecon,8,8);
|
||||
std::cout<<GridLogMessage<<"checking norm src "<<norm2(c_src)<<std::endl;
|
||||
c_res=Zero();
|
||||
CPGCR(L1LinOp,c_src,c_res);
|
||||
*/
|
||||
std::cout<<GridLogMessage << " Fine PowerMethod "<< std::endl;
|
||||
PowerMethod<LatticeFermion> PM; PM(HermDefOp,src);
|
||||
std::cout<<GridLogMessage << " Coarse PowerMethod "<< std::endl;
|
||||
PowerMethod<CoarseVector> cPM; cPM(PosdefLdop,c_src);
|
||||
std::cout<<GridLogMessage << " CoarseCoarse PowerMethod "<< std::endl;
|
||||
PowerMethod<CoarseCoarseVector> ccPM; ccPM(IRLHermOpL2,cc_src);
|
||||
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << "Done "<< std::endl;
|
||||
|
||||
Loading…
Reference in New Issue
Block a user