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2 level hddcr
This commit is contained in:
Peter Boyle
420
tests/solver/Test_dwf_hdcr_2level.cc
Normal file
420
tests/solver/Test_dwf_hdcr_2level.cc
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@@ -0,0 +1,420 @@
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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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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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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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template<class Field,class Matrix> class RedBlackSmoother : 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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RealD tol;
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RealD shift;
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int maxit;
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RedBlackSmoother(RealD _shift,RealD _tol,int _maxit,Matrix &_SmootherMatrix) :
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shift(_shift),tol(_tol),maxit(_maxit),
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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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std::cout << " Red Black Smootheer "<<norm2(in)<<" " <<norm2(out)<<std::endl;
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ConjugateGradient<Field> CG(tol,maxit,false);
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out =Zero();
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SchurRedBlackDiagMooeeSolve<Field> RBSolver(CG);
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RBSolver(SmootherMatrix,in,out);
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std::cout << " Red Black Smootheer "<<norm2(in)<<" " <<norm2(out)<<std::endl;
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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>::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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Guesser & _Guess;
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FineSmoother & _Smoother1;
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FineSmoother & _Smoother2;
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CoarseSolver & _CoarseSolve;
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int level; void Level(int lv) {level = lv; };
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#define GridLogLevel std::cout << GridLogMessage <<std::string(level,'\t')<< " Level "<<level <<" "
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MultiGridPreconditioner(Aggregates &Agg, CoarseOperator &Coarse,
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FineOperator &Fine,Matrix &FineMatrix,
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FineSmoother &Smoother1,
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FineSmoother &Smoother2,
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Guesser &Guess_,
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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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_Smoother1(Smoother1),
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_Smoother2(Smoother2),
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_Guess(Guess_),
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_CoarseSolve(CoarseSolve_),
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level(1) { }
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MultiGridPreconditioner(Aggregates &Agg, CoarseOperator &Coarse,
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FineOperator &Fine,Matrix &FineMatrix,
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FineSmoother &Smoother,
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Guesser &Guess_,
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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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_Smoother1(Smoother),
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_Smoother2(Smoother),
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_Guess(Guess_),
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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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CoarseVector Csrc(_CoarseOperator.Grid());
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CoarseVector Csol(_CoarseOperator.Grid());
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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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_Smoother1(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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_Smoother2(vec1,vec2);
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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);
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}
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};
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int main (int argc, char ** argv)
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{
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Grid_init(&argc,&argv);
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const int Ls=16;
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const int rLs=8;
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GridCartesian * UGrid = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplex::Nsimd()),GridDefaultMpi());
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GridRedBlackCartesian * UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
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GridCartesian * FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid);
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GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGrid);
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///////////////////////////////////////////////////
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// Construct a coarsened grid; utility for this?
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///////////////////////////////////////////////////
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std::vector<int> block ({2,2,2,2});
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const int nbasis= 32;
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auto clatt = GridDefaultLatt();
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for(int d=0;d<clatt.size();d++){
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clatt[d] = clatt[d]/block[d];
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}
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GridCartesian *Coarse4d = SpaceTimeGrid::makeFourDimGrid(clatt, GridDefaultSimd(Nd,vComplex::Nsimd()),GridDefaultMpi());;
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GridCartesian *Coarse5d = SpaceTimeGrid::makeFiveDimGrid(1,Coarse4d);
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std::vector<int> seeds4({1,2,3,4});
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std::vector<int> seeds5({5,6,7,8});
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std::vector<int> cseeds({5,6,7,8});
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GridParallelRNG RNG5(FGrid); RNG5.SeedFixedIntegers(seeds5);
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GridParallelRNG RNG4(UGrid); RNG4.SeedFixedIntegers(seeds4);
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GridParallelRNG CRNG(Coarse5d);CRNG.SeedFixedIntegers(cseeds);
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LatticeFermion src(FGrid); gaussian(RNG5,src);// src=src+g5*src;
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LatticeFermion result(FGrid);
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LatticeGaugeField Umu(UGrid);
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FieldMetaData header;
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std::string file("./ckpoint_lat");
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NerscIO::readConfiguration(Umu,header,file);
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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std::cout<<GridLogMessage << "Building g5R5 hermitian DWF operator" <<std::endl;
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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RealD mass=0.001;
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RealD M5=1.8;
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DomainWallFermionR Ddwf(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5);
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typedef Aggregation<vSpinColourVector,vTComplex,nbasis> Subspace;
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typedef CoarsenedMatrix<vSpinColourVector,vTComplex,nbasis> CoarseOperator;
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typedef CoarseOperator::CoarseVector CoarseVector;
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typedef CoarseOperator::siteVector siteVector;
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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std::cout<<GridLogMessage << "Calling Aggregation class to build subspace" <<std::endl;
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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MdagMLinearOperator<DomainWallFermionR,LatticeFermion> HermDefOp(Ddwf);
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Subspace Aggregates(Coarse5d,FGrid,0);
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assert ( (nbasis & 0x1)==0);
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{
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int nb=nbasis/2;
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// Aggregates.CreateSubspaceChebyshev(RNG5,HermDefOp,nb,60.0,0.05,500,200,100,0.0);// 18s
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// rAggregates.CreateSubspaceChebyshev(RNG5,rHermDefOp,nb,60.0,0.05,500,200,150,0.0);// 15.7 23iter
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Aggregates.CreateSubspaceChebyshev(RNG5,HermDefOp,nb,60.0,0.05,500,200,150,0.0);//
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// pad out the rAggregates.
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// Aggregates.CreateSubspaceChebyshev(RNG5,HermDefOp,nb,60.0,0.05,500,500,150,0.0);// 19s
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// Aggregates.CreateSubspaceChebyshev(RNG5,HermDefOp,nb,60.0,0.05,500,200,200,0.0); 15.2s
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// Aggregates.CreateSubspaceChebyshev(RNG5,HermDefOp,nb,60.0,0.05,500,500,200,0.0); 16.3s
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for(int n=0;n<nb;n++){
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G5R5(Aggregates.subspace[n+nb],Aggregates.subspace[n]);
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}
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LatticeFermion A(FGrid);
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LatticeFermion B(FGrid);
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for(int n=0;n<nb;n++){
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A = Aggregates.subspace[n];
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B = Aggregates.subspace[n+nb];
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Aggregates.subspace[n] = A+B; // 1+G5 // eigen value of G5R5 is +1
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Aggregates.subspace[n+nb]= A-B; // 1-G5 // eigen value of G5R5 is -1
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}
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}
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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std::cout<<GridLogMessage << "Building coarse representation of Indef operator" <<std::endl;
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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typedef CoarsenedMatrix<vSpinColourVector,vTComplex,nbasis> Level1Op;
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Gamma5R5HermitianLinearOperator<DomainWallFermionR,LatticeFermion> HermIndefOp(Ddwf);
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Level1Op LDOp(*Coarse5d,1); LDOp.CoarsenOperator(FGrid,HermIndefOp,Aggregates);
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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std::cout<<GridLogMessage << " Running Coarse grid Lanczos "<< std::endl;
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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MdagMLinearOperator<Level1Op,CoarseVector> IRLHermOp(LDOp);
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Chebyshev<CoarseVector> IRLCheby(0.002,12.,151);
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FunctionHermOp<CoarseVector> IRLOpCheby(IRLCheby,IRLHermOp);
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PlainHermOp<CoarseVector> IRLOp (IRLHermOp);
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int Nk=48;
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int Nm=64;
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int Nstop=48;
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int Nconv;
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ImplicitlyRestartedLanczos<CoarseVector> IRL(IRLOpCheby,IRLOp,Nstop,Nk,Nm,1.0e-3,20);
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||||
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std::vector<RealD> eval(Nm);
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std::vector<CoarseVector> evec(Nm,Coarse5d);
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CoarseVector c_src(Coarse5d);
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gaussian(CRNG,c_src);
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IRL.calc(eval,evec,c_src,Nconv);
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||||
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||||
// ConjugateGradient<CoarseVector> CoarseCG(0.01,1000);
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||||
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||||
ConjugateGradient<CoarseVector> CoarseCG(0.02,1000);// 14.7s
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||||
DeflatedGuesser<CoarseVector> DeflCoarseGuesser(evec,eval);
|
||||
NormalEquations<CoarseVector> DeflCoarseCGNE(LDOp,CoarseCG,DeflCoarseGuesser);
|
||||
|
||||
c_src=1.0;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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||||
std::cout<<GridLogMessage << " Fine PowerMethod "<< std::endl;
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||||
PowerMethod<LatticeFermion> PM; PM(HermDefOp,src);
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||||
std::cout<<GridLogMessage << " Coarse PowerMethod "<< std::endl;
|
||||
MdagMLinearOperator<CoarseOperator,CoarseVector> PosdefLdop(LDOp);
|
||||
PowerMethod<CoarseVector> cPM; cPM(PosdefLdop,c_src);
|
||||
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << "Building 2 level Multigrid "<< std::endl;
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||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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||||
typedef MultiGridPreconditioner<vSpinColourVector, vTComplex,nbasis, DomainWallFermionR,DeflatedGuesser<CoarseVector> , NormalEquations<CoarseVector> > TwoLevelMG;
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||||
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||||
// MultiGrid preconditioner acting on the coarse space <-> coarsecoarse space
|
||||
// ChebyshevSmoother<LatticeFermion,DomainWallFermionR> FineSmoother(0.5,60.0,14,HermIndefOp,Ddwf); // 72 iter 63s
|
||||
// ChebyshevSmoother<LatticeFermion,DomainWallFermionR> FineSmoother(0.1,60.0,20,HermIndefOp,Ddwf); // 66 iter 69s
|
||||
// ChebyshevSmoother<LatticeFermion,DomainWallFermionR> FineSmoother(0.5,60.0,20,HermIndefOp,Ddwf); // 63 iter 65 s
|
||||
// ChebyshevSmoother<LatticeFermion,DomainWallFermionR> FineSmoother(1.0,60.0,20,HermIndefOp,Ddwf); // 69, 70
|
||||
// ChebyshevSmoother<LatticeFermion,DomainWallFermionR> FineSmoother(1.0,60.0,14,HermIndefOp,Ddwf); // 77
|
||||
|
||||
// ChebyshevSmoother<LatticeFermion,DomainWallFermionR> FineSmoother(0.5,60.0,10,HermIndefOp,Ddwf); // 23 iter 15.9s
|
||||
// ChebyshevSmoother<LatticeFermion,DomainWallFermionR> FineSmoother(0.5,60.0,14,HermIndefOp,Ddwf); // 20, 16.9s
|
||||
ChebyshevSmoother<LatticeFermion,DomainWallFermionR> FineSmoother(0.5,60.0,12,HermIndefOp,Ddwf); // 21, 15.6s
|
||||
|
||||
// MirsSmoother<LatticeFermion,DomainWallFermionR> FineCGSmoother(0.05,0.01,20,HermIndefOp,Ddwf);
|
||||
// RedBlackSmoother<LatticeFermion,DomainWallFermionR> FineRBSmoother(0.00,0.001,100,Ddwf);
|
||||
|
||||
// Wrap the 2nd level solver in a MultiGrid preconditioner acting on the fine space
|
||||
ZeroGuesser<CoarseVector> CoarseZeroGuesser;
|
||||
TwoLevelMG TwoLevelPrecon(Aggregates, LDOp,
|
||||
HermIndefOp,Ddwf,
|
||||
FineSmoother,
|
||||
DeflCoarseGuesser,
|
||||
DeflCoarseCGNE);
|
||||
TwoLevelPrecon.Level(1);
|
||||
|
||||
// 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,TwoLevelPrecon,16,16);
|
||||
l1PGCR.Level(1);
|
||||
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << "Calling 2 level Multigrid "<< std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
result=Zero();
|
||||
l1PGCR(src,result);
|
||||
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << "Fine CG prec DiagMooee "<< std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
|
||||
|
||||
ConjugateGradient<LatticeFermion> FineCG(1.0e-8,10000);
|
||||
SchurDiagMooeeOperator<DomainWallFermionR,LatticeFermion> FineDiagMooee(Ddwf); // M_ee - Meo Moo^-1 Moe
|
||||
LatticeFermion f_src_e(FrbGrid); f_src_e=1.0;
|
||||
LatticeFermion f_res_e(FrbGrid); f_res_e=Zero();
|
||||
FineCG(FineDiagMooee,f_src_e,f_res_e);
|
||||
|
||||
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