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378 lines
13 KiB
C++
378 lines
13 KiB
C++
/*************************************************************************************
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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: 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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#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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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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const int nbasis= 8;
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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(Ls,Coarse4d);
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GridRedBlackCartesian * Coarse4dRB = SpaceTimeGrid::makeFourDimRedBlackGrid(Coarse4d);
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GridRedBlackCartesian * Coarse5dRB = SpaceTimeGrid::makeFiveDimRedBlackGrid(1,Coarse4d);
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std::vector<int> seeds({1,2,3,4});
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GridParallelRNG RNG5(FGrid); RNG5.SeedFixedIntegers(seeds);
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GridParallelRNG RNG4(UGrid); RNG4.SeedFixedIntegers(seeds);
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GridParallelRNG CRNG(Coarse5d);CRNG.SeedFixedIntegers(seeds);
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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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WilsonFermionR Dw(Umu,*UGrid,*UrbGrid,-M5);
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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<WilsonFermionR,LatticeFermion> SubspaceOp(Dw);
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Subspace Aggregates4D(Coarse4d,UGrid,0);
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Subspace Aggregates5D(Coarse5d,FGrid,0);
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assert ( (nbasis & 0x1)==0);
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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std::cout<<GridLogMessage << " 4D subspace build " <<std::endl;
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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int nb=nbasis/2;
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Gamma g5(Gamma::Algebra::Gamma5);
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Aggregates4D.CreateSubspaceChebyshev(RNG4,SubspaceOp,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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Aggregates4D.subspace[n+nb]= Aggregates4D.subspace[n] - g5 * Aggregates4D.subspace[n];
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Aggregates4D.subspace[n] = Aggregates4D.subspace[n] + g5 * Aggregates4D.subspace[n];
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}
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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std::cout<<GridLogMessage << " Promote to 5D basis " <<std::endl;
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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for(int n=0;n<nbasis;n++){
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for(int s=0;s<Ls;s++){
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InsertSlice(Aggregates4D.subspace[n],Aggregates5D.subspace[n],s,0);
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}
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}
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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std::cout<<GridLogMessage << " Coarsen the 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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NonHermitianLinearOperator<DomainWallFermionR,LatticeFermion> LinOpDwf(Ddwf);
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Level1Op LDOp (*Coarse5d,*Coarse5dRB,0);
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std::cout<<GridLogMessage << " Callinig Coarsen the operator " <<std::endl;
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LDOp.CoarsenOperator(FGrid,LinOpDwf,Aggregates5D);
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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std::cout<<GridLogMessage << "Coarse CG unprec "<< std::endl;
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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CoarseVector c_src(Coarse5d); c_src=1.0;
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CoarseVector c_res(Coarse5d);
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LatticeFermion f_src(FGrid); f_src=1.0;
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LatticeFermion f_res(FGrid);
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RealD tol=1.0e-8;
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int MaxIt = 10000;
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MdagMLinearOperator<Level1Op,CoarseVector> CoarseMdagM(LDOp);
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BiCGSTAB<CoarseVector> CoarseBiCGSTAB(tol,MaxIt);
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ConjugateGradient<CoarseVector> CoarseCG(tol,MaxIt);
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c_res=Zero();
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CoarseCG(CoarseMdagM,c_src,c_res);
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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std::cout<<GridLogMessage << " Solve " <<std::endl;
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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LatticeFermion src(FGrid); gaussian(RNG5,src);
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LatticeFermion result(FGrid);
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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std::cout<<GridLogMessage << "Done "<< std::endl;
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std::cout<<GridLogMessage << "**************************************************"<< std::endl;
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Grid_finalize();
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}
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