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347 lines
14 KiB
C++
347 lines
14 KiB
C++
#include <Grid.h>
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#include <algorithms/iterative/PrecGeneralisedConjugateResidual.h>
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#include <algorithms/iterative/PrecConjugateResidual.h>
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using namespace std;
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using namespace Grid;
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using namespace Grid::QCD;
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template<class Fobj,class CComplex,int nbasis, class Matrix>
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class MultiGridPreconditioner : public LinearFunction< Lattice<Fobj> > {
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public:
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typedef Aggregation<Fobj,CComplex,nbasis> Aggregates;
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typedef CoarsenedMatrix<Fobj,CComplex,nbasis> CoarseOperator;
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typedef typename Aggregation<Fobj,CComplex,nbasis>::siteVector siteVector;
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typedef typename Aggregation<Fobj,CComplex,nbasis>::CoarseScalar CoarseScalar;
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typedef typename Aggregation<Fobj,CComplex,nbasis>::CoarseVector CoarseVector;
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typedef typename Aggregation<Fobj,CComplex,nbasis>::CoarseMatrix CoarseMatrix;
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typedef typename Aggregation<Fobj,CComplex,nbasis>::FineField FineField;
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typedef LinearOperatorBase<FineField> FineOperator;
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Aggregates & _Aggregates;
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CoarseOperator & _CoarseOperator;
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Matrix & _Matrix;
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FineOperator & _FineOperator;
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// Constructor
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MultiGridPreconditioner(Aggregates &Agg, CoarseOperator &Coarse, FineOperator &Fine,Matrix &FineMatrix)
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: _Aggregates(Agg),
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_CoarseOperator(Coarse),
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_FineOperator(Fine),
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_Matrix(FineMatrix)
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{
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}
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#if 0
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void operator()(const FineField &in, FineField & out) {
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FineField Min(in._grid);
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FineField tmp(in._grid);
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CoarseVector Csrc(_CoarseOperator.Grid());
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CoarseVector Ctmp(_CoarseOperator.Grid());
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CoarseVector Csol(_CoarseOperator.Grid());
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// Monitor completeness of low mode space
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_Aggregates.ProjectToSubspace (Csrc,in);
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_Aggregates.PromoteFromSubspace(Csrc,out);
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std::cout<<"Completeness: "<<std::sqrt(norm2(out)/norm2(in))<<std::endl;
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// Build some solvers
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ConjugateGradient<FineField> fCG(1.0e-1,1000);
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ConjugateGradient<CoarseVector> CG(1.0e-8,100000);
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////////////////////////////////////////////////////////////////////////
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// ADEF2: [PTM+Q] in = [1 - Q A] M in + Q in = Min + Q [ in -A Min]
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////////////////////////////////////////////////////////////////////////
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// Smoothing step, followed by coarse grid correction
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MdagMLinearOperator<Matrix,FineField> MdagMOp(_Matrix);
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Min=in;
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std::cout<< " Preconditioner in " << norm2(in)<<std::endl;
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_FineOperator.AdjOp(Min,tmp);
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std::cout<< " Preconditioner tmp " << norm2(in)<<std::endl;
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fCG(MdagMOp,tmp,out);
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_FineOperator.Op(out,tmp);
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std::cout<< " Preconditioner in " << norm2(in)<<std::endl;
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std::cout<< " Preconditioner out " << norm2(out)<<std::endl;
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std::cout<< " Preconditioner Aout" << norm2(tmp)<<std::endl;
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tmp = tmp - in;
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std::cout<<"preconditioner thinks residual is "<<std::sqrt(norm2(tmp)/norm2(in))<<std::endl;
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/*
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// _FineOperator.Op(Min,out);
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// out = in -out; // out = in - A Min
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out = in;
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MdagMLinearOperator<CoarseOperator,CoarseVector> MdagMOp(_CoarseOperator);
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HermitianLinearOperator<CoarseOperator,CoarseVector> HermOp(_CoarseOperator);
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Csol=zero;
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_Aggregates.ProjectToSubspace (Csrc,out);
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HermOp.AdjOp(Csrc,Ctmp);// Normal equations
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CG(MdagMOp ,Ctmp,Csol);
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_Aggregates.PromoteFromSubspace(Csol,out);
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out = Min + out;;
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*/
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}
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#endif
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////////////////////////////////////////////////////////////////////////
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// ADEF2: [PTM+Q] in = [1 - Q A] M in + Q in = Min + Q [ in -A Min]
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// ADEF1: [MP+Q ] in =M [1 - A Q] in + Q in
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////////////////////////////////////////////////////////////////////////
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#if 0
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void operator()(const FineField &in, FineField & out) {
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CoarseVector Csrc(_CoarseOperator.Grid());
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CoarseVector Ctmp(_CoarseOperator.Grid());
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CoarseVector Csol(_CoarseOperator.Grid());
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ConjugateGradient<CoarseVector> CG(1.0e-10,100000);
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ConjugateGradient<FineField> fCG(3.0e-2,1000);
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HermitianLinearOperator<CoarseOperator,CoarseVector> HermOp(_CoarseOperator);
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MdagMLinearOperator<CoarseOperator,CoarseVector> MdagMOp(_CoarseOperator);
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MdagMLinearOperator<Matrix,FineField> fMdagMOp(_Matrix);
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FineField tmp(in._grid);
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FineField res(in._grid);
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FineField Min(in._grid);
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// Monitor completeness of low mode space
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_Aggregates.ProjectToSubspace (Csrc,in);
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_Aggregates.PromoteFromSubspace(Csrc,out);
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std::cout<<"Coarse Grid Preconditioner\nCompleteness in: "<<std::sqrt(norm2(out)/norm2(in))<<std::endl;
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// [PTM+Q] in = [1 - Q A] M in + Q in = Min + Q [ in -A Min]
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_FineOperator.Op(in,tmp);// this is the G5 herm bit
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fCG(fMdagMOp,tmp,Min); // solves MdagM = g5 M g5M
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// Monitor completeness of low mode space
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_Aggregates.ProjectToSubspace (Csrc,Min);
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_Aggregates.PromoteFromSubspace(Csrc,out);
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std::cout<<"Completeness Min: "<<std::sqrt(norm2(out)/norm2(Min))<<std::endl;
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_FineOperator.Op(Min,tmp);
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tmp = in - tmp; // in - A Min
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Csol=zero;
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_Aggregates.ProjectToSubspace (Csrc,tmp);
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HermOp.AdjOp(Csrc,Ctmp);// Normal equations
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CG(MdagMOp,Ctmp,Csol);
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HermOp.Op(Csol,Ctmp);
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Ctmp=Ctmp-Csrc;
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std::cout<<"coarse space true residual "<<std::sqrt(norm2(Ctmp)/norm2(Csrc))<<std::endl;
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_Aggregates.PromoteFromSubspace(Csol,out);
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_FineOperator.Op(out,res);
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res=res-tmp;
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std::cout<<"promoted sol residual "<<std::sqrt(norm2(res)/norm2(tmp))<<std::endl;
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_Aggregates.ProjectToSubspace (Csrc,res);
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std::cout<<"coarse space proj of residual "<<norm2(Csrc)<<std::endl;
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out = out+Min; // additive coarse space correction
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// out = Min; // no additive coarse space correction
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_FineOperator.Op(out,tmp);
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tmp=tmp-in; // tmp is new residual
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std::cout<< " Preconditioner in " << norm2(in)<<std::endl;
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std::cout<< " Preconditioner out " << norm2(out)<<std::endl;
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std::cout<<"preconditioner thinks residual is "<<std::sqrt(norm2(tmp)/norm2(in))<<std::endl;
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}
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#endif
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// ADEF1: [MP+Q ] in =M [1 - A Q] in + Q in
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void operator()(const FineField &in, FineField & out) {
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CoarseVector Csrc(_CoarseOperator.Grid());
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CoarseVector Ctmp(_CoarseOperator.Grid());
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CoarseVector Csol(_CoarseOperator.Grid()); Csol=zero;
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ConjugateGradient<CoarseVector> CG(1.0e-10,100000);
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ConjugateGradient<FineField> fCG(1.0e-3,1000);
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HermitianLinearOperator<CoarseOperator,CoarseVector> HermOp(_CoarseOperator);
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MdagMLinearOperator<CoarseOperator,CoarseVector> MdagMOp(_CoarseOperator);
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MdagMLinearOperator<Matrix,FineField> fMdagMOp(_Matrix);
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FineField tmp(in._grid);
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FineField res(in._grid);
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FineField Qin(in._grid);
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// Monitor completeness of low mode space
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// _Aggregates.ProjectToSubspace (Csrc,in);
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// _Aggregates.PromoteFromSubspace(Csrc,out);
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// std::cout<<"Coarse Grid Preconditioner\nCompleteness in: "<<std::sqrt(norm2(out)/norm2(in))<<std::endl;
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_Aggregates.ProjectToSubspace (Csrc,in);
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HermOp.AdjOp(Csrc,Ctmp);// Normal equations
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CG(MdagMOp,Ctmp,Csol);
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_Aggregates.PromoteFromSubspace(Csol,Qin);
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_FineOperator.Op(Qin,tmp);// A Q in
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tmp = in - tmp; // in - A Q in
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_FineOperator.Op(tmp,res);// this is the G5 herm bit
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fCG(fMdagMOp,res,out); // solves MdagM = g5 M g5M
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out = out + Qin;
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_FineOperator.Op(out,tmp);
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tmp=tmp-in; // tmp is new residual
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std::cout<<"preconditioner thinks residual is "<<std::sqrt(norm2(tmp)/norm2(in))<<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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const int Ls=8;
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GridCartesian * UGrid = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplex::Nsimd()),GridDefaultMpi());
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GridRedBlackCartesian * UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
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GridCartesian * FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid);
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GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGrid);
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///////////////////////////////////////////////////
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// Construct a coarsened grid; utility for this?
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///////////////////////////////////////////////////
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const int block=4;
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std::vector<int> clatt = GridDefaultLatt();
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for(int d=0;d<clatt.size();d++){
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clatt[d] = clatt[d]/block;
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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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Gamma g5(Gamma::Gamma5);
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LatticeFermion src(FGrid); gaussian(RNG5,src);// src=src+g5*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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NerscField header;
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std::string file("./ckpoint_lat.4000");
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readNerscConfiguration(Umu,header,file);
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// SU3::ColdConfiguration(RNG4,Umu);
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// SU3::TepidConfiguration(RNG4,Umu);
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// SU3::HotConfiguration(RNG4,Umu);
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// Umu=zero;
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RealD mass=0.01;
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RealD M5=1.8;
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std::cout << "**************************************************"<< std::endl;
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std::cout << "Building g5R5 hermitian DWF operator" <<std::endl;
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std::cout << "**************************************************"<< std::endl;
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DomainWallFermion Ddwf(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5);
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const int nbasis = 6;
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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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std::cout << "**************************************************"<< std::endl;
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std::cout << "Calling Aggregation class to build subspace" <<std::endl;
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std::cout << "**************************************************"<< std::endl;
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MdagMLinearOperator<DomainWallFermion,LatticeFermion> HermDefOp(Ddwf);
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Subspace Aggregates(Coarse5d,FGrid);
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Aggregates.CreateSubspace(RNG5,HermDefOp);
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// for(int i=0;i<nbasis;i++){
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// result = Aggregates.subspace[i];
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// Aggregates.subspace[i]=result+g5*result;
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// }
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result=zero;
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std::cout << "**************************************************"<< std::endl;
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std::cout << "Building coarse representation of Indef operator" <<std::endl;
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std::cout << "**************************************************"<< std::endl;
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Gamma5R5HermitianLinearOperator<DomainWallFermion,LatticeFermion> HermIndefOp(Ddwf);
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CoarsenedMatrix<vSpinColourVector,vTComplex,nbasis> LDOp(*Coarse5d);
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LDOp.CoarsenOperator(FGrid,HermIndefOp,Aggregates);
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std::cout << "**************************************************"<< std::endl;
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std::cout << "Testing some coarse space solvers " <<std::endl;
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std::cout << "**************************************************"<< std::endl;
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CoarseVector c_src (Coarse5d);
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CoarseVector c_res (Coarse5d);
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gaussian(CRNG,c_src);
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c_res=zero;
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std::cout << "**************************************************"<< std::endl;
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std::cout << "Solving posdef-CG on coarse space "<< std::endl;
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std::cout << "**************************************************"<< std::endl;
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MdagMLinearOperator<CoarseOperator,CoarseVector> PosdefLdop(LDOp);
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ConjugateGradient<CoarseVector> CG(1.0e-6,100000);
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CG(PosdefLdop,c_src,c_res);
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// std::cout << "**************************************************"<< std::endl;
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// std::cout << "Solving indef-MCR on coarse space "<< std::endl;
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// std::cout << "**************************************************"<< std::endl;
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// HermitianLinearOperator<CoarseOperator,CoarseVector> HermIndefLdop(LDOp);
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// ConjugateResidual<CoarseVector> MCR(1.0e-6,100000);
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//MCR(HermIndefLdop,c_src,c_res);
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std::cout << "**************************************************"<< std::endl;
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std::cout << "Building deflation preconditioner "<< std::endl;
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std::cout << "**************************************************"<< std::endl;
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MultiGridPreconditioner <vSpinColourVector,vTComplex,nbasis,DomainWallFermion> Precon(Aggregates, LDOp,HermIndefOp,Ddwf);
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TrivialPrecon<LatticeFermion> simple;
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std::cout << "**************************************************"<< std::endl;
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std::cout << "Unprec CG "<< std::endl;
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std::cout << "**************************************************"<< std::endl;
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// TrivialPrecon<LatticeFermion> simple;
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ConjugateGradient<LatticeFermion> fCG(1.0e-8,100000);
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fCG(HermDefOp,src,result);
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std::cout << "**************************************************"<< std::endl;
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std::cout << "Testing GCR on indef matrix "<< std::endl;
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std::cout << "**************************************************"<< std::endl;
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// PrecGeneralisedConjugateResidual<LatticeFermion> UPGCR(1.0e-8,100000,simple,8,128);
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// UPGCR(HermIndefOp,src,result);
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std::cout << "**************************************************"<< std::endl;
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std::cout << "Building a two level PGCR "<< std::endl;
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std::cout << "**************************************************"<< std::endl;
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PrecGeneralisedConjugateResidual<LatticeFermion> PGCR(1.0e-8,100000,Precon,8,128);
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std::cout<<"checking norm src "<<norm2(src)<<std::endl;
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PGCR(HermIndefOp,src,result);
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std::cout << "**************************************************"<< std::endl;
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std::cout << "Done "<< std::endl;
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std::cout << "**************************************************"<< std::endl;
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Grid_finalize();
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}
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