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added example files
This commit is contained in:
Patrick Oare
407
examples/Example_spec_kryschur.cc
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407
examples/Example_spec_kryschur.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_padded_cell.cc
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Copyright (C) 2023
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Author: Peter Boyle <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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// copied here from Test_general_coarse_pvdagm.cc
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// copied here from Test_general_coarse_pvdagm.cc
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#include <cstdlib>
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#include <Grid/Grid.h>
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#include <Grid/lattice/PaddedCell.h>
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#include <Grid/stencil/GeneralLocalStencil.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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// Hermitize a DWF operator by squaring it
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template<class Matrix,class Field>
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class SquaredLinearOperator : public LinearOperatorBase<Field> {
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public:
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Matrix &_Mat;
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public:
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SquaredLinearOperator(Matrix &Mat): _Mat(Mat) {};
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void OpDiag (const Field &in, Field &out) { assert(0); }
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void OpDir (const Field &in, Field &out,int dir,int disp) { assert(0); }
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void OpDirAll (const Field &in, std::vector<Field> &out){ assert(0); };
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void Op (const Field &in, Field &out){
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// std::cout << "Op is overloaded as HermOp" << std::endl;
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HermOp(in, out);
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}
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void AdjOp (const Field &in, Field &out){
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HermOp(in, out);
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}
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void _Op (const Field &in, Field &out){
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// std::cout << "Op: M "<<std::endl;
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_Mat.M(in, out);
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}
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void _AdjOp (const Field &in, Field &out){
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// std::cout << "AdjOp: Mdag "<<std::endl;
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_Mat.Mdag(in, out);
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}
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void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2){ assert(0); }
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void HermOp(const Field &in, Field &out){
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// std::cout << "HermOp: Mdag M Mdag M"<<std::endl;
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Field tmp(in.Grid());
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_Op(in,tmp);
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_AdjOp(tmp,out);
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}
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};
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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) { assert(0); }
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void OpDir (const Field &in, Field &out,int dir,int disp) { assert(0); }
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void OpDirAll (const Field &in, std::vector<Field> &out){ assert(0); };
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void Op (const Field &in, Field &out){
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std::cout << "Op: PVdag M "<<std::endl;
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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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std::cout << "AdjOp: Mdag PV "<<std::endl;
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Field tmp(in.Grid());
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_PV.M(in,tmp);
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_Mat.Mdag(tmp,out);
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}
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void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2){ assert(0); }
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void HermOp(const Field &in, Field &out){
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std::cout << "HermOp: Mdag PV PVdag M"<<std::endl;
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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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// _PV.M(out,tmp);
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// _Mat.Mdag(tmp,out);
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Op(in,tmp);
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AdjOp(tmp,out);
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// std::cout << "HermOp done "<<norm2(out)<<std::endl;
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}
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};
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template<class Matrix,class Field>
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class ShiftedPVdagMLinearOperator : public LinearOperatorBase<Field> {
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Matrix &_Mat;
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Matrix &_PV;
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RealD shift;
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public:
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ShiftedPVdagMLinearOperator(RealD _shift,Matrix &Mat,Matrix &PV): shift(_shift),_Mat(Mat),_PV(PV){};
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void OpDiag (const Field &in, Field &out) { assert(0); }
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void OpDir (const Field &in, Field &out,int dir,int disp) { assert(0); }
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void OpDirAll (const Field &in, std::vector<Field> &out){ assert(0); };
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void Op (const Field &in, Field &out){
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std::cout << "Op: PVdag M "<<std::endl;
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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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out = out + shift * in;
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}
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void AdjOp (const Field &in, Field &out){
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std::cout << "AdjOp: Mdag PV "<<std::endl;
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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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out = out + shift * in;
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}
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void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2){ assert(0); }
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void HermOp(const Field &in, Field &out){
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std::cout << "HermOp: Mdag PV PVdag M"<<std::endl;
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Field tmp(in.Grid());
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Op(in,tmp);
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AdjOp(tmp,out);
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}
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};
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template<class Matrix, class Field>
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class ShiftedComplexPVdagMLinearOperator : public LinearOperatorBase<Field> {
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Matrix &_Mat;
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Matrix &_PV;
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ComplexD shift;
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public:
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ShiftedComplexPVdagMLinearOperator(ComplexD _shift,Matrix &Mat,Matrix &PV): shift(_shift),_Mat(Mat),_PV(PV){};
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void OpDiag (const Field &in, Field &out) { assert(0); }
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void OpDir (const Field &in, Field &out,int dir,int disp) { assert(0); }
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void OpDirAll (const Field &in, std::vector<Field> &out){ assert(0); };
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void Op (const Field &in, Field &out){
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std::cout << "Op: PVdag M "<<std::endl;
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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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out = out + shift * in;
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}
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void AdjOp (const Field &in, Field &out){
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std::cout << "AdjOp: Mdag PV "<<std::endl;
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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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out = out + shift * in;
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}
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void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2){ assert(0); }
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void HermOp(const Field &in, Field &out){
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std::cout << "HermOp: Mdag PV PVdag M"<<std::endl;
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Field tmp(in.Grid());
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Op(in,tmp);
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AdjOp(tmp,out);
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}
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void resetShift(ComplexD newShift) {
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shift = newShift;
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}
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};
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template<class Fobj,class CComplex,int nbasis>
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class MGPreconditioner : public LinearFunction< Lattice<Fobj> > {
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public:
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using LinearFunction<Lattice<Fobj> >::operator();
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typedef Aggregation<Fobj,CComplex,nbasis> Aggregates;
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typedef typename Aggregation<Fobj,CComplex,nbasis>::FineField FineField;
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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 LinearOperatorBase<FineField> FineOperator;
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typedef LinearFunction <FineField> FineSmoother;
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typedef LinearOperatorBase<CoarseVector> CoarseOperator;
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typedef LinearFunction <CoarseVector> CoarseSolver;
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Aggregates & _Aggregates;
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FineOperator & _FineOperator;
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FineSmoother & _PreSmoother;
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FineSmoother & _PostSmoother;
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CoarseOperator & _CoarseOperator;
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CoarseSolver & _CoarseSolve;
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int level; void Level(int lv) {level = lv; };
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MGPreconditioner(Aggregates &Agg,
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FineOperator &Fine,
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FineSmoother &PreSmoother,
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FineSmoother &PostSmoother,
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CoarseOperator &CoarseOperator_,
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CoarseSolver &CoarseSolve_)
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: _Aggregates(Agg),
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_FineOperator(Fine),
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_PreSmoother(PreSmoother),
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_PostSmoother(PostSmoother),
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_CoarseOperator(CoarseOperator_),
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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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GridBase *CoarseGrid = _Aggregates.CoarseGrid;
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// auto CoarseGrid = _CoarseOperator.Grid();
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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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std::cout<<GridLogMessage << "Calling PreSmoother " <<std::endl;
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// std::cout<<GridLogMessage << "Calling PreSmoother input residual "<<norm2(in) <<std::endl;
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double t;
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// Fine Smoother
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// out = in;
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out = Zero();
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t=-usecond();
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_PreSmoother(in,out);
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t+=usecond();
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std::cout<<GridLogMessage << "PreSmoother 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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// std::cout<<GridLogMessage <<"Residual-1 now " <<norm2(vec1)<<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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t+=usecond();
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std::cout<<GridLogMessage << "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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Csol = Zero();
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_CoarseSolve(Csrc,Csol);
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//Csol=Zero();
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t+=usecond();
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std::cout<<GridLogMessage << "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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// _CoarseOperator.PromoteFromSubspace(_Aggregates,Csol,vec1);
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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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std::cout<<GridLogMessage << "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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// std::cout<<GridLogMessage <<"Residual-2 now " <<norm2(vec1)<<std::endl;
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// Fine Smoother
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t=-usecond();
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// vec2=vec1;
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vec2=Zero();
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_PostSmoother(vec1,vec2);
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t+=usecond();
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std::cout<<GridLogMessage << "PostSmoother took "<< t/1000.0<< "ms" <<std::endl;
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add( out,out,vec2);
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std::cout<<GridLogMessage << "Done " <<std::endl;
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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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// Usage : $ ./Example_spec_kryschur <Nm> <Nk> <maxiter> <Nstop>
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assert (argc == 5);
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std::string NmStr = argv[1];
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std::string NkStr = argv[2];
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std::string maxIterStr = argv[3];
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std::string NstopStr = argv[4];
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//const int Ls=16;
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const int Ls = 8;
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// GridCartesian * UGrid = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplex::Nsimd()),GridDefaultMpi());
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//std::vector<int> lat_size {16, 16, 16, 32};
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std::vector<int> lat_size {8, 8, 8, 8};
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std::cout << "Lattice size: " << lat_size << std::endl;
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GridCartesian * UGrid = SpaceTimeGrid::makeFourDimGrid(lat_size,
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GridDefaultSimd(Nd,vComplex::Nsimd()),
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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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// Construct a coarsened grid
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// poare TODO: replace this with the following line?
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Coordinate clatt = lat_size;
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// Coordinate clatt = GridDefaultLatt(); // [PO] initial line before I edited it
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for(int d=0;d<clatt.size();d++){
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clatt[d] = clatt[d]/2;
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// clatt[d] = clatt[d]/4;
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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); random(RNG5,src);
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LatticeFermion result(FGrid); result=Zero();
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LatticeFermion ref(FGrid); ref=Zero();
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LatticeFermion tmp(FGrid);
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LatticeFermion err(FGrid);
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LatticeGaugeField Umu(UGrid);
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FieldMetaData header;
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// std::string file ("/sdcc/u/poare/PETSc-Grid/ckpoint_EODWF_lat.125");
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std::string file("/Users/patrickoare/libraries/PETSc-Grid/ckpoint_EODWF_lat.125");
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NerscIO::readConfiguration(Umu,header,file);
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RealD mass=0.01;
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RealD M5=1.8;
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DomainWallFermionD Ddwf(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5);
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DomainWallFermionD Dpv(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,1.0,M5);
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// const int nbasis = 20; // size of approximate basis for low-mode space
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const int nbasis = 3; // size of approximate basis for low-mode space
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const int cb = 0 ;
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LatticeFermion prom(FGrid);
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typedef GeneralCoarsenedMatrix<vSpinColourVector,vTComplex,nbasis> LittleDiracOperator;
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typedef LittleDiracOperator::CoarseVector CoarseVector;
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NextToNearestStencilGeometry5D geom(Coarse5d);
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std::cout<<GridLogMessage<<std::endl;
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std::cout<<GridLogMessage<<"*******************************************"<<std::endl;
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std::cout<<GridLogMessage<<std::endl;
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typedef PVdagMLinearOperator<DomainWallFermionD,LatticeFermionD> PVdagM_t;
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typedef ShiftedPVdagMLinearOperator<DomainWallFermionD,LatticeFermionD> ShiftedPVdagM_t;
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typedef ShiftedComplexPVdagMLinearOperator<DomainWallFermionD,LatticeFermionD> ShiftedComplexPVdagM_t;
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PVdagM_t PVdagM(Ddwf, Dpv);
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ShiftedPVdagM_t ShiftedPVdagM(0.1,Ddwf,Dpv);
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SquaredLinearOperator<DomainWallFermionD, LatticeFermionD> Dsq (Ddwf);
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NonHermitianLinearOperator<DomainWallFermionD, LatticeFermionD> DLinOp (Ddwf);
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// int Nm = 200;
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// int Nk = 110;
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// int maxIter = 2000;
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// int Nstop = 100;
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int Nm = std::stoi(NmStr);
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int Nk = std::stoi(NkStr);
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int maxIter = std::stoi(maxIterStr);
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int Nstop = std::stoi(NstopStr);
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std::cout << GridLogMessage << "Runnning Krylov Schur. Nm = " << Nm << ", Nk = " << Nk << ", maxIter = " << maxIter
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<< ", Nstop = " << Nstop << std::endl;
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// Arnoldi Arn(PVdagM, FGrid, 1e-8);
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// Arn(src, maxIter, Nm, Nk, Nstop);
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KrylovSchur KrySchur (PVdagM, FGrid, 1e-8);
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KrySchur(src, maxIter, Nm, Nk, Nstop);
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std::cout<<GridLogMessage << "*******************************************" << std::endl;
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std::cout<<GridLogMessage << "***************** RESULTS *****************" << std::endl;
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std::cout<<GridLogMessage << "*******************************************" << std::endl;
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std::cout << GridLogMessage << "Krylov Schur eigenvalues: " << std::endl << KrySchur.getEvals() << std::endl;
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//std::cout << GridLogMessage << "Lanczos eigenvalues: " << std::endl << levals << std::endl;
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std::cout<<GridLogMessage<<std::endl;
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std::cout<<GridLogMessage<<"*******************************************"<<std::endl;
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std::cout<<GridLogMessage<<std::endl;
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std::cout<<GridLogMessage << "Done "<< std::endl;
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Grid_finalize();
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return 0;
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}
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