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Peter Boyle
parent
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tests/solver/Test_dwf_multigrid.cc
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594
tests/solver/Test_dwf_multigrid.cc
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/*************************************************************************************
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Grid physics library, www.github.com/paboyle/Grid
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Source file: ./tests/Test_dwf_hdcr.cc
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Copyright (C) 2015
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Author: Antonin Portelli <antonin.portelli@me.com>
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Author: Peter Boyle <paboyle@ph.ed.ac.uk>
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Author: paboyle <paboyle@ph.ed.ac.uk>
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This program is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License along
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with this program; if not, write to the Free Software Foundation, Inc.,
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51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
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See the full license in the file "LICENSE" in the top level distribution directory
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*************************************************************************************/
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/* END LEGAL */
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#include <Grid/Grid.h>
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#include <Grid/algorithms/iterative/PrecGeneralisedConjugateResidual.h>
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#include <Grid/algorithms/iterative/PrecGeneralisedConjugateResidualNonHermitian.h>
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#include <Grid/algorithms/iterative/BiCGSTAB.h>
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using namespace std;
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using namespace Grid;
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/* Params
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* Grid:
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* block1(4)
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* block2(4)
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*
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* Subspace
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* * Fine : Subspace(nbasis,hi,lo,order,first,step) -- 32, 60,0.02,500,100,100
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* * Coarse: Subspace(nbasis,hi,lo,order,first,step) -- 32, 18,0.02,500,100,100
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* Smoother:
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* * Fine: Cheby(hi, lo, order) -- 60,0.5,10
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* * Coarse: Cheby(hi, lo, order) -- 12,0.1,4
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* Lanczos:
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* CoarseCoarse IRL( Nk, Nm, Nstop, poly(lo,hi,order)) 24,36,24,0.002,4.0,61
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*/
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template<class Field> class SolverWrapper : public LinearFunction<Field> {
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private:
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LinearOperatorBase<Field> & _Matrix;
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OperatorFunction<Field> & _Solver;
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LinearFunction<Field> & _Guess;
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public:
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/////////////////////////////////////////////////////
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// Wrap the usual normal equations trick
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/////////////////////////////////////////////////////
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SolverWrapper(LinearOperatorBase<Field> &Matrix,
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OperatorFunction<Field> &Solver,
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LinearFunction<Field> &Guess)
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: _Matrix(Matrix), _Solver(Solver), _Guess(Guess) {};
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void operator() (const Field &in, Field &out){
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_Guess(in,out);
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_Solver(_Matrix,in,out); // Mdag M out = Mdag in
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}
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};
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// Must use a non-hermitian solver
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template<class Matrix,class Field>
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class PVdagMLinearOperator : public LinearOperatorBase<Field> {
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Matrix &_Mat;
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Matrix &_PV;
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public:
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PVdagMLinearOperator(Matrix &Mat,Matrix &PV): _Mat(Mat),_PV(PV){};
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void OpDiag (const Field &in, Field &out) {
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assert(0);
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}
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void OpDir (const Field &in, Field &out,int dir,int disp) {
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assert(0);
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}
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void OpDirAll (const Field &in, std::vector<Field> &out){
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assert(0);
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};
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void Op (const Field &in, Field &out){
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Field tmp(in.Grid());
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_Mat.M(in,tmp);
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_PV.Mdag(tmp,out);
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}
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void AdjOp (const Field &in, Field &out){
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Field tmp(in.Grid());
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_PV.M(tmp,out);
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_Mat.Mdag(in,tmp);
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}
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void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2){
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assert(0);
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}
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void HermOp(const Field &in, Field &out){
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assert(0);
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}
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};
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RealD InverseApproximation(RealD x){
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return 1.0/x;
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}
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template<class Field,class Matrix> class ChebyshevSmoother : public LinearFunction<Field>
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{
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public:
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typedef LinearOperatorBase<Field> FineOperator;
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Matrix & _SmootherMatrix;
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FineOperator & _SmootherOperator;
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Chebyshev<Field> Cheby;
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ChebyshevSmoother(RealD _lo,RealD _hi,int _ord, FineOperator &SmootherOperator,Matrix &SmootherMatrix) :
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_SmootherOperator(SmootherOperator),
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_SmootherMatrix(SmootherMatrix),
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Cheby(_lo,_hi,_ord,InverseApproximation)
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{};
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void operator() (const Field &in, Field &out)
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{
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Field tmp(in.Grid());
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MdagMLinearOperator<Matrix,Field> MdagMOp(_SmootherMatrix);
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_SmootherOperator.AdjOp(in,tmp);
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Cheby(MdagMOp,tmp,out);
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}
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};
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template<class Field,class Matrix> class MirsSmoother : public LinearFunction<Field>
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{
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public:
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typedef LinearOperatorBase<Field> FineOperator;
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Matrix & SmootherMatrix;
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FineOperator & SmootherOperator;
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RealD tol;
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RealD shift;
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int maxit;
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MirsSmoother(RealD _shift,RealD _tol,int _maxit,FineOperator &_SmootherOperator,Matrix &_SmootherMatrix) :
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shift(_shift),tol(_tol),maxit(_maxit),
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SmootherOperator(_SmootherOperator),
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SmootherMatrix(_SmootherMatrix)
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{};
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void operator() (const Field &in, Field &out)
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{
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ZeroGuesser<Field> Guess;
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ConjugateGradient<Field> CG(tol,maxit,false);
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Field src(in.Grid());
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ShiftedMdagMLinearOperator<SparseMatrixBase<Field>,Field> MdagMOp(SmootherMatrix,shift);
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SmootherOperator.AdjOp(in,src);
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Guess(src,out);
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CG(MdagMOp,src,out);
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}
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};
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#define GridLogLevel std::cout << GridLogMessage <<std::string(level,'\t')<< " Level "<<level <<" "
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template<class Fobj,class CComplex,int nbasis, class CoarseSolver>
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class HDCRPreconditioner : public LinearFunction< Lattice<Fobj> > {
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public:
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typedef Aggregation<Fobj,CComplex,nbasis> Aggregates;
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typedef CoarsenedMatrix<Fobj,CComplex,nbasis> CoarseOperator;
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typedef typename Aggregation<Fobj,CComplex,nbasis>::CoarseVector CoarseVector;
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typedef typename Aggregation<Fobj,CComplex,nbasis>::CoarseMatrix CoarseMatrix;
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typedef typename Aggregation<Fobj,CComplex,nbasis>::FineField FineField;
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typedef LinearOperatorBase<FineField> FineOperator;
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typedef LinearFunction <FineField> FineSmoother;
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Aggregates & _Aggregates;
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FineOperator & _FineOperator;
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FineSmoother & _Smoother;
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CoarseSolver & _CoarseSolve;
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int level; void Level(int lv) {level = lv; };
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HDCRPreconditioner(Aggregates &Agg,
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FineOperator &Fine,
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FineSmoother &Smoother,
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CoarseSolver &CoarseSolve_)
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: _Aggregates(Agg),
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_FineOperator(Fine),
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_Smoother(Smoother),
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_CoarseSolve(CoarseSolve_),
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level(1) { }
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virtual void operator()(const FineField &in, FineField & out)
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{
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auto CoarseGrid = _Aggregates.CoarseGrid;
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CoarseVector Csrc(CoarseGrid);
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CoarseVector Csol(CoarseGrid);
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FineField vec1(in.Grid());
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FineField vec2(in.Grid());
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double t;
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// Fine Smoother
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t=-usecond();
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_Smoother(in,out);
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t+=usecond();
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GridLogLevel << "Smoother took "<< t/1000.0<< "ms" <<std::endl;
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// Update the residual
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_FineOperator.Op(out,vec1); sub(vec1, in ,vec1);
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// Fine to Coarse
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t=-usecond();
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_Aggregates.ProjectToSubspace (Csrc,vec1);
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t+=usecond();
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GridLogLevel << "Project to coarse took "<< t/1000.0<< "ms" <<std::endl;
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// Coarse correction
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t=-usecond();
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_CoarseSolve(Csrc,Csol);
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t+=usecond();
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GridLogLevel << "Coarse solve took "<< t/1000.0<< "ms" <<std::endl;
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// Coarse to Fine
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t=-usecond();
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_Aggregates.PromoteFromSubspace(Csol,vec1);
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add(out,out,vec1);
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t+=usecond();
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GridLogLevel << "Promote to this level took "<< t/1000.0<< "ms" <<std::endl;
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// Residual
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_FineOperator.Op(out,vec1); sub(vec1 ,in , vec1);
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// Fine Smoother
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t=-usecond();
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_Smoother(vec1,vec2);
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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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/*
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template<class Fobj,class CComplex,int nbasis, 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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FineOperator & _FineOperator;
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Guesser & _Guess;
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FineSmoother & _Smoother;
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CoarseSolver & _CoarseSolve;
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int level; void Level(int lv) {level = lv; };
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MultiGridPreconditioner(Aggregates &Agg, CoarseOperator &Coarse,
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FineOperator &Fine,
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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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_Smoother(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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_Smoother(in,out);
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t+=usecond();
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GridLogLevel << "Smoother took "<< t/1000.0<< "ms" <<std::endl;
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// Update the residual
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_FineOperator.Op(out,vec1); sub(vec1, in ,vec1);
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// Fine to Coarse
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t=-usecond();
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_Aggregates.ProjectToSubspace (Csrc,vec1);
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t+=usecond();
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GridLogLevel << "Project to coarse took "<< t/1000.0<< "ms" <<std::endl;
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// Coarse correction
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t=-usecond();
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_CoarseSolve(Csrc,Csol);
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t+=usecond();
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GridLogLevel << "Coarse solve took "<< t/1000.0<< "ms" <<std::endl;
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// Coarse to Fine
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t=-usecond();
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_Aggregates.PromoteFromSubspace(Csol,vec1);
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add(out,out,vec1);
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t+=usecond();
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GridLogLevel << "Promote to this level took "<< t/1000.0<< "ms" <<std::endl;
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// Residual
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_FineOperator.Op(out,vec1); sub(vec1 ,in , vec1);
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// Fine Smoother
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t=-usecond();
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_Smoother(vec1,vec2);
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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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*/
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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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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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std::vector<int> blockc ({2,2,2,2});
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const int nbasis= 32;
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const int nbasisc= 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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auto cclatt = clatt;
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for(int d=0;d<clatt.size();d++){
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cclatt[d] = clatt[d]/blockc[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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GridCartesian *CoarseCoarse4d = SpaceTimeGrid::makeFourDimGrid(cclatt, GridDefaultSimd(Nd,vComplex::Nsimd()),GridDefaultMpi());;
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GridCartesian *CoarseCoarse5d = SpaceTimeGrid::makeFiveDimGrid(1,CoarseCoarse4d);
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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.4000");
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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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DomainWallFermionR Dpv (Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,1.0,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,60.0,0.02,500,100,100,0.0);
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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 << " Will coarsen G5R5 M and G5R5 Mpv in G5R5 compatible way " <<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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typedef CoarsenedMatrix<siteVector,iScalar<vTComplex>,nbasisc> Level2Op;
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Gamma5R5HermitianLinearOperator<DomainWallFermionR,LatticeFermion> HermIndefOp(Ddwf);
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Gamma5R5HermitianLinearOperator<DomainWallFermionR,LatticeFermion> HermIndefOpPV(Dpv);
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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std::cout<<GridLogMessage << "Building coarse representation of Indef operator" <<std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
|
||||
Level1Op LDOp(*Coarse5d,1); LDOp.CoarsenOperator(FGrid,HermIndefOp,Aggregates);
|
||||
Level1Op LDOpPV(*Coarse5d,1); LDOpPV.CoarsenOperator(FGrid,HermIndefOpPV,Aggregates);
|
||||
|
||||
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << " Testing fine and coarse solvers " <<std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
|
||||
CoarseVector c_src(Coarse5d); c_src=1.0;
|
||||
CoarseVector c_res(Coarse5d);
|
||||
|
||||
LatticeFermion f_src(FGrid); f_src=1.0;
|
||||
LatticeFermion f_res(FGrid);
|
||||
|
||||
LatticeFermion f_src_e(FrbGrid); f_src_e=1.0;
|
||||
LatticeFermion f_res_e(FrbGrid);
|
||||
|
||||
RealD tol=1.0e-8;
|
||||
int MaxIt = 10000;
|
||||
|
||||
BiCGSTAB<CoarseVector> CoarseBiCGSTAB(tol,MaxIt);
|
||||
ConjugateGradient<CoarseVector> CoarseCG(tol,MaxIt);
|
||||
// GeneralisedMinimalResidual<CoarseVector> CoarseGMRES(tol,MaxIt,20);
|
||||
|
||||
BiCGSTAB<LatticeFermion> FineBiCGSTAB(tol,MaxIt);
|
||||
ConjugateGradient<LatticeFermion> FineCG(tol,MaxIt);
|
||||
// GeneralisedMinimalResidual<LatticeFermion> FineGMRES(tol,MaxIt,20);
|
||||
|
||||
MdagMLinearOperator<DomainWallFermionR,LatticeFermion> FineMdagM(Ddwf); // M^\dag M
|
||||
PVdagMLinearOperator<DomainWallFermionR,LatticeFermion> FinePVdagM(Ddwf,Dpv);// M_{pv}^\dag M
|
||||
SchurDiagMooeeOperator<DomainWallFermionR,LatticeFermion> FineDiagMooee(Ddwf); // M_ee - Meo Moo^-1 Moe
|
||||
SchurDiagOneOperator<DomainWallFermionR,LatticeFermion> FineDiagOne(Ddwf); // 1 - M_ee^{-1} Meo Moo^{-1} Moe e
|
||||
|
||||
MdagMLinearOperator<Level1Op,CoarseVector> CoarseMdagM(LDOp);
|
||||
PVdagMLinearOperator<Level1Op,CoarseVector> CoarsePVdagM(LDOp,LDOpPV);
|
||||
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << "Fine CG unprec "<< std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
|
||||
f_res=Zero();
|
||||
FineCG(FineMdagM,f_src,f_res);
|
||||
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << "Fine CG prec DiagMooee "<< std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
|
||||
f_res_e=Zero();
|
||||
FineCG(FineDiagMooee,f_src_e,f_res_e);
|
||||
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << "Fine CG prec DiagOne "<< std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
|
||||
f_res_e=Zero();
|
||||
FineCG(FineDiagOne,f_src_e,f_res_e);
|
||||
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << "Fine BiCGSTAB unprec "<< std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
|
||||
f_res=Zero();
|
||||
FineBiCGSTAB(FinePVdagM,f_src,f_res);
|
||||
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << "Coarse BiCGSTAB "<< std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
|
||||
c_res=Zero();
|
||||
CoarseBiCGSTAB(CoarsePVdagM,c_src,c_res);
|
||||
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << "Coarse CG unprec "<< std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
|
||||
c_res=Zero();
|
||||
CoarseCG(CoarseMdagM,c_src,c_res);
|
||||
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << " Running Coarse grid Lanczos "<< std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
|
||||
Chebyshev<CoarseVector> IRLCheby(0.03,12.0,71); // 1 iter
|
||||
FunctionHermOp<CoarseVector> IRLOpCheby(IRLCheby,CoarseMdagM);
|
||||
PlainHermOp<CoarseVector> IRLOp (CoarseMdagM);
|
||||
int Nk=64;
|
||||
int Nm=128;
|
||||
int Nstop=Nk;
|
||||
ImplicitlyRestartedLanczos<CoarseVector> IRL(IRLOpCheby,IRLOp,Nstop,Nk,Nm,1.0e-3,20);
|
||||
|
||||
int Nconv;
|
||||
std::vector<RealD> eval(Nm);
|
||||
std::vector<CoarseVector> evec(Nm,Coarse5d);
|
||||
IRL.calc(eval,evec,c_src,Nconv);
|
||||
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << " Running Coarse grid deflated solver "<< std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
|
||||
DeflatedGuesser<CoarseVector> DeflCoarseGuesser(evec,eval);
|
||||
NormalEquations<CoarseVector> DeflCoarseCGNE (LDOp,CoarseCG,DeflCoarseGuesser);
|
||||
c_res=Zero();
|
||||
DeflCoarseCGNE(c_src,c_res);
|
||||
|
||||
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << " Running HDCR "<< std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
|
||||
ConjugateGradient<CoarseVector> CoarseMgridCG(0.001,1000);
|
||||
ChebyshevSmoother<LatticeFermion,DomainWallFermionR> FineSmoother(0.5,60.0,10,HermIndefOp,Ddwf);
|
||||
|
||||
typedef HDCRPreconditioner<vSpinColourVector, vTComplex,nbasis, NormalEquations<CoarseVector> > TwoLevelHDCR;
|
||||
TwoLevelHDCR TwoLevelPrecon(Aggregates,
|
||||
HermIndefOp,
|
||||
FineSmoother,
|
||||
DeflCoarseCGNE);
|
||||
TwoLevelPrecon.Level(1);
|
||||
// PrecGeneralisedConjugateResidual<LatticeFermion> l1PGCR(1.0e-8,100,HermIndefOp,TwoLevelPrecon,16,16);
|
||||
PrecGeneralisedConjugateResidualNonHermitian<LatticeFermion> l1PGCR(1.0e-8,100,HermIndefOp,TwoLevelPrecon,16,16);
|
||||
l1PGCR.Level(1);
|
||||
|
||||
f_res=Zero();
|
||||
|
||||
CoarseCG.Tolerance=0.02;
|
||||
l1PGCR(f_src,f_res);
|
||||
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << " Running Multigrid "<< std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
|
||||
BiCGSTAB<CoarseVector> CoarseMgridBiCGSTAB(0.01,1000);
|
||||
BiCGSTAB<LatticeFermion> FineMgridBiCGSTAB(0.0,24);
|
||||
ZeroGuesser<CoarseVector> CoarseZeroGuesser;
|
||||
ZeroGuesser<LatticeFermion> FineZeroGuesser;
|
||||
|
||||
SolverWrapper<LatticeFermion> FineBiCGSmoother( FinePVdagM, FineMgridBiCGSTAB, FineZeroGuesser);
|
||||
SolverWrapper<CoarseVector> CoarsePVdagMSolver(CoarsePVdagM,CoarseMgridBiCGSTAB,CoarseZeroGuesser);
|
||||
typedef HDCRPreconditioner<vSpinColourVector, vTComplex,nbasis, SolverWrapper<CoarseVector> > TwoLevelMG;
|
||||
|
||||
TwoLevelMG _TwoLevelMG(Aggregates,
|
||||
FinePVdagM,
|
||||
FineBiCGSmoother,
|
||||
CoarsePVdagMSolver);
|
||||
_TwoLevelMG.Level(1);
|
||||
|
||||
PrecGeneralisedConjugateResidualNonHermitian<LatticeFermion> pvPGCR(1.0e-8,100,FinePVdagM,_TwoLevelMG,16,16);
|
||||
pvPGCR.Level(1);
|
||||
|
||||
f_res=Zero();
|
||||
pvPGCR(f_src,f_res);
|
||||
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << "Done "<< std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
Grid_finalize();
|
||||
|
||||
}
|
||||
356
tests/solver/Test_hw_multigrid.cc
Normal file
356
tests/solver/Test_hw_multigrid.cc
Normal file
@ -0,0 +1,356 @@
|
||||
/*************************************************************************************
|
||||
|
||||
Grid physics library, www.github.com/paboyle/Grid
|
||||
|
||||
Source file: ./tests/Test_dwf_hdcr.cc
|
||||
|
||||
Copyright (C) 2015
|
||||
|
||||
Author: Antonin Portelli <antonin.portelli@me.com>
|
||||
Author: Peter Boyle <paboyle@ph.ed.ac.uk>
|
||||
Author: paboyle <paboyle@ph.ed.ac.uk>
|
||||
|
||||
This program is free software; you can redistribute it and/or modify
|
||||
it under the terms of the GNU General Public License as published by
|
||||
the Free Software Foundation; either version 2 of the License, or
|
||||
(at your option) any later version.
|
||||
|
||||
This program is distributed in the hope that it will be useful,
|
||||
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||||
GNU General Public License for more details.
|
||||
|
||||
You should have received a copy of the GNU General Public License along
|
||||
with this program; if not, write to the Free Software Foundation, Inc.,
|
||||
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
|
||||
|
||||
See the full license in the file "LICENSE" in the top level distribution directory
|
||||
*************************************************************************************/
|
||||
/* END LEGAL */
|
||||
#include <Grid/Grid.h>
|
||||
#include <Grid/algorithms/iterative/PrecGeneralisedConjugateResidual.h>
|
||||
//#include <Grid/algorithms/iterative/PrecGeneralisedConjugateResidualNonHermitian.h>
|
||||
#include <Grid/algorithms/iterative/BiCGSTAB.h>
|
||||
|
||||
using namespace std;
|
||||
using namespace Grid;
|
||||
/* Params
|
||||
* Grid:
|
||||
* block1(4)
|
||||
* block2(4)
|
||||
*
|
||||
* Subspace
|
||||
* * Fine : Subspace(nbasis,hi,lo,order,first,step) -- 32, 60,0.02,500,100,100
|
||||
* * Coarse: Subspace(nbasis,hi,lo,order,first,step) -- 32, 18,0.02,500,100,100
|
||||
|
||||
* Smoother:
|
||||
* * Fine: Cheby(hi, lo, order) -- 60,0.5,10
|
||||
* * Coarse: Cheby(hi, lo, order) -- 12,0.1,4
|
||||
|
||||
* Lanczos:
|
||||
* CoarseCoarse IRL( Nk, Nm, Nstop, poly(lo,hi,order)) 24,36,24,0.002,4.0,61
|
||||
*/
|
||||
|
||||
template<class Field> class SolverWrapper : public LinearFunction<Field> {
|
||||
private:
|
||||
LinearOperatorBase<Field> & _Matrix;
|
||||
OperatorFunction<Field> & _Solver;
|
||||
LinearFunction<Field> & _Guess;
|
||||
public:
|
||||
|
||||
/////////////////////////////////////////////////////
|
||||
// Wrap the usual normal equations trick
|
||||
/////////////////////////////////////////////////////
|
||||
SolverWrapper(LinearOperatorBase<Field> &Matrix,
|
||||
OperatorFunction<Field> &Solver,
|
||||
LinearFunction<Field> &Guess)
|
||||
: _Matrix(Matrix), _Solver(Solver), _Guess(Guess) {};
|
||||
|
||||
void operator() (const Field &in, Field &out){
|
||||
|
||||
_Guess(in,out);
|
||||
_Solver(_Matrix,in,out); // Mdag M out = Mdag in
|
||||
|
||||
}
|
||||
};
|
||||
|
||||
|
||||
// Must use a non-hermitian solver
|
||||
template<class Matrix,class Field>
|
||||
class PVdagMLinearOperator : public LinearOperatorBase<Field> {
|
||||
Matrix &_Mat;
|
||||
Matrix &_PV;
|
||||
public:
|
||||
PVdagMLinearOperator(Matrix &Mat,Matrix &PV): _Mat(Mat),_PV(PV){};
|
||||
|
||||
void OpDiag (const Field &in, Field &out) {
|
||||
assert(0);
|
||||
}
|
||||
void OpDir (const Field &in, Field &out,int dir,int disp) {
|
||||
assert(0);
|
||||
}
|
||||
void OpDirAll (const Field &in, std::vector<Field> &out){
|
||||
assert(0);
|
||||
};
|
||||
void Op (const Field &in, Field &out){
|
||||
Field tmp(in.Grid());
|
||||
_Mat.M(in,tmp);
|
||||
_PV.Mdag(tmp,out);
|
||||
}
|
||||
void AdjOp (const Field &in, Field &out){
|
||||
Field tmp(in.Grid());
|
||||
_PV.M(tmp,out);
|
||||
_Mat.Mdag(in,tmp);
|
||||
}
|
||||
void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2){
|
||||
assert(0);
|
||||
}
|
||||
void HermOp(const Field &in, Field &out){
|
||||
assert(0);
|
||||
}
|
||||
};
|
||||
|
||||
|
||||
RealD InverseApproximation(RealD x){
|
||||
return 1.0/x;
|
||||
}
|
||||
|
||||
template<class Field,class Matrix> class ChebyshevSmoother : public LinearFunction<Field>
|
||||
{
|
||||
public:
|
||||
typedef LinearOperatorBase<Field> FineOperator;
|
||||
Matrix & _SmootherMatrix;
|
||||
FineOperator & _SmootherOperator;
|
||||
|
||||
Chebyshev<Field> Cheby;
|
||||
|
||||
ChebyshevSmoother(RealD _lo,RealD _hi,int _ord, FineOperator &SmootherOperator,Matrix &SmootherMatrix) :
|
||||
_SmootherOperator(SmootherOperator),
|
||||
_SmootherMatrix(SmootherMatrix),
|
||||
Cheby(_lo,_hi,_ord,InverseApproximation)
|
||||
{};
|
||||
|
||||
void operator() (const Field &in, Field &out)
|
||||
{
|
||||
Field tmp(in.Grid());
|
||||
MdagMLinearOperator<Matrix,Field> MdagMOp(_SmootherMatrix);
|
||||
_SmootherOperator.AdjOp(in,tmp);
|
||||
Cheby(MdagMOp,tmp,out);
|
||||
}
|
||||
};
|
||||
|
||||
template<class Field,class Matrix> class MirsSmoother : public LinearFunction<Field>
|
||||
{
|
||||
public:
|
||||
typedef LinearOperatorBase<Field> FineOperator;
|
||||
Matrix & SmootherMatrix;
|
||||
FineOperator & SmootherOperator;
|
||||
RealD tol;
|
||||
RealD shift;
|
||||
int maxit;
|
||||
|
||||
MirsSmoother(RealD _shift,RealD _tol,int _maxit,FineOperator &_SmootherOperator,Matrix &_SmootherMatrix) :
|
||||
shift(_shift),tol(_tol),maxit(_maxit),
|
||||
SmootherOperator(_SmootherOperator),
|
||||
SmootherMatrix(_SmootherMatrix)
|
||||
{};
|
||||
|
||||
void operator() (const Field &in, Field &out)
|
||||
{
|
||||
ZeroGuesser<Field> Guess;
|
||||
ConjugateGradient<Field> CG(tol,maxit,false);
|
||||
|
||||
Field src(in.Grid());
|
||||
|
||||
ShiftedMdagMLinearOperator<SparseMatrixBase<Field>,Field> MdagMOp(SmootherMatrix,shift);
|
||||
SmootherOperator.AdjOp(in,src);
|
||||
Guess(src,out);
|
||||
CG(MdagMOp,src,out);
|
||||
}
|
||||
};
|
||||
|
||||
#define GridLogLevel std::cout << GridLogMessage <<std::string(level,'\t')<< " Level "<<level <<" "
|
||||
|
||||
template<class Fobj,class CComplex,int nbasis, class CoarseSolver>
|
||||
class HDCRPreconditioner : public LinearFunction< Lattice<Fobj> > {
|
||||
public:
|
||||
|
||||
typedef Aggregation<Fobj,CComplex,nbasis> Aggregates;
|
||||
typedef CoarsenedMatrix<Fobj,CComplex,nbasis> CoarseOperator;
|
||||
typedef typename Aggregation<Fobj,CComplex,nbasis>::CoarseVector CoarseVector;
|
||||
typedef typename Aggregation<Fobj,CComplex,nbasis>::CoarseMatrix CoarseMatrix;
|
||||
typedef typename Aggregation<Fobj,CComplex,nbasis>::FineField FineField;
|
||||
typedef LinearOperatorBase<FineField> FineOperator;
|
||||
typedef LinearFunction <FineField> FineSmoother;
|
||||
|
||||
Aggregates & _Aggregates;
|
||||
FineOperator & _FineOperator;
|
||||
FineSmoother & _Smoother;
|
||||
CoarseSolver & _CoarseSolve;
|
||||
|
||||
int level; void Level(int lv) {level = lv; };
|
||||
|
||||
|
||||
HDCRPreconditioner(Aggregates &Agg,
|
||||
FineOperator &Fine,
|
||||
FineSmoother &Smoother,
|
||||
CoarseSolver &CoarseSolve_)
|
||||
: _Aggregates(Agg),
|
||||
_FineOperator(Fine),
|
||||
_Smoother(Smoother),
|
||||
_CoarseSolve(CoarseSolve_),
|
||||
level(1) { }
|
||||
|
||||
virtual void operator()(const FineField &in, FineField & out)
|
||||
{
|
||||
auto CoarseGrid = _Aggregates.CoarseGrid;
|
||||
CoarseVector Csrc(CoarseGrid);
|
||||
CoarseVector Csol(CoarseGrid);
|
||||
FineField vec1(in.Grid());
|
||||
FineField vec2(in.Grid());
|
||||
|
||||
double t;
|
||||
// Fine Smoother
|
||||
t=-usecond();
|
||||
_Smoother(in,out);
|
||||
t+=usecond();
|
||||
GridLogLevel << "Smoother took "<< t/1000.0<< "ms" <<std::endl;
|
||||
|
||||
// Update the residual
|
||||
_FineOperator.Op(out,vec1); sub(vec1, in ,vec1);
|
||||
|
||||
// Fine to Coarse
|
||||
t=-usecond();
|
||||
_Aggregates.ProjectToSubspace (Csrc,vec1);
|
||||
t+=usecond();
|
||||
GridLogLevel << "Project to coarse took "<< t/1000.0<< "ms" <<std::endl;
|
||||
|
||||
// Coarse correction
|
||||
t=-usecond();
|
||||
_CoarseSolve(Csrc,Csol);
|
||||
t+=usecond();
|
||||
GridLogLevel << "Coarse solve took "<< t/1000.0<< "ms" <<std::endl;
|
||||
|
||||
// Coarse to Fine
|
||||
t=-usecond();
|
||||
_Aggregates.PromoteFromSubspace(Csol,vec1);
|
||||
add(out,out,vec1);
|
||||
t+=usecond();
|
||||
GridLogLevel << "Promote to this level took "<< t/1000.0<< "ms" <<std::endl;
|
||||
|
||||
// Residual
|
||||
_FineOperator.Op(out,vec1); sub(vec1 ,in , vec1);
|
||||
|
||||
// Fine Smoother
|
||||
t=-usecond();
|
||||
_Smoother(vec1,vec2);
|
||||
t+=usecond();
|
||||
GridLogLevel << "Smoother took "<< t/1000.0<< "ms" <<std::endl;
|
||||
|
||||
add( out,out,vec2);
|
||||
}
|
||||
};
|
||||
|
||||
int main (int argc, char ** argv)
|
||||
{
|
||||
Grid_init(&argc,&argv);
|
||||
|
||||
const int Ls=16;
|
||||
|
||||
GridCartesian * UGrid = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplex::Nsimd()),GridDefaultMpi());
|
||||
GridRedBlackCartesian * UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
|
||||
|
||||
GridCartesian * FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid);
|
||||
GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGrid);
|
||||
|
||||
///////////////////////////////////////////////////
|
||||
// Construct a coarsened grid; utility for this?
|
||||
///////////////////////////////////////////////////
|
||||
std::vector<int> block ({2,2,2,2});
|
||||
const int nbasis= 32;
|
||||
|
||||
auto clatt = GridDefaultLatt();
|
||||
for(int d=0;d<clatt.size();d++){
|
||||
clatt[d] = clatt[d]/block[d];
|
||||
}
|
||||
|
||||
GridCartesian *Coarse4d = SpaceTimeGrid::makeFourDimGrid(clatt, GridDefaultSimd(Nd,vComplex::Nsimd()),GridDefaultMpi());;
|
||||
GridCartesian *Coarse5d = SpaceTimeGrid::makeFiveDimGrid(Ls,Coarse4d);
|
||||
|
||||
std::vector<int> seeds({1,2,3,4});
|
||||
GridParallelRNG RNG5(FGrid); RNG5.SeedFixedIntegers(seeds);
|
||||
GridParallelRNG RNG4(UGrid); RNG4.SeedFixedIntegers(seeds);
|
||||
GridParallelRNG CRNG(Coarse5d);CRNG.SeedFixedIntegers(seeds);
|
||||
|
||||
LatticeGaugeField Umu(UGrid);
|
||||
FieldMetaData header;
|
||||
std::string file("./ckpoint_lat.4000");
|
||||
NerscIO::readConfiguration(Umu,header,file);
|
||||
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << "Building g5R5 hermitian DWF operator" <<std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
RealD mass=0.001;
|
||||
RealD M5=1.8;
|
||||
WilsonFermionR Dw(Umu,*UGrid,*UrbGrid,-M5);
|
||||
DomainWallFermionR Ddwf(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5);
|
||||
DomainWallFermionR Dpv (Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,1.0,M5);
|
||||
|
||||
typedef Aggregation<vSpinColourVector,vTComplex,nbasis> Subspace;
|
||||
typedef CoarsenedMatrix<vSpinColourVector,vTComplex,nbasis> CoarseOperator;
|
||||
typedef CoarseOperator::CoarseVector CoarseVector;
|
||||
typedef CoarseOperator::siteVector siteVector;
|
||||
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << "Calling Aggregation class to build subspace" <<std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
MdagMLinearOperator<WilsonFermionR,LatticeFermion> SubspaceOp(Dw);
|
||||
|
||||
Subspace Aggregates4D(Coarse4d,UGrid,0);
|
||||
Subspace Aggregates5D(Coarse5d,FGrid,0);
|
||||
|
||||
assert ( (nbasis & 0x1)==0);
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << " 4D subspace build " <<std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
int nb=nbasis/2;
|
||||
Gamma g5(Gamma::Algebra::Gamma5);
|
||||
Aggregates4D.CreateSubspaceChebyshev(RNG5,SubspaceOp,nb,60.0,0.02,500,100,100,0.0);
|
||||
for(int n=0;n<nb;n++){
|
||||
Aggregates4D.subspace[n+nb]= Aggregates4D.subspace[n] - g5 * Aggregates4D.subspace[n];
|
||||
Aggregates4D.subspace[n] = Aggregates4D.subspace[n] + g5 * Aggregates4D.subspace[n];
|
||||
}
|
||||
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << " Promote to 5D basis " <<std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
for(int n=0;n<nbasis;n++){
|
||||
for(int s=0;s<Ls;s++){
|
||||
InsertSlice(Aggregates4D.subspace[n],Aggregates5D.subspace[n],s,0);
|
||||
}
|
||||
}
|
||||
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << " Coarsen the operator " <<std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
typedef CoarsenedMatrix<vSpinColourVector,vTComplex,nbasis> Level1Op;
|
||||
|
||||
|
||||
NonHermitianLinearOperator<DomainWallFermionR,LatticeFermion> LinOpDwf(Ddwf);
|
||||
|
||||
Level1Op LDOp (*Coarse5d,1);
|
||||
LDOp.CoarsenOperator(FGrid,LinOpDwf,Aggregates5D);
|
||||
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << " Solve " <<std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
|
||||
LatticeFermion src(FGrid); gaussian(RNG5,src);
|
||||
LatticeFermion result(FGrid);
|
||||
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << "Done "<< std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
Grid_finalize();
|
||||
|
||||
}
|
||||
Loading…
Reference in New Issue
Block a user