mirror of
https://github.com/paboyle/Grid.git
synced 2024-09-20 09:15:38 +01:00
347 lines
14 KiB
C++
347 lines
14 KiB
C++
#include <Grid.h>
|
|
#include <algorithms/iterative/PrecGeneralisedConjugateResidual.h>
|
|
//#include <algorithms/iterative/PrecConjugateResidual.h>
|
|
|
|
using namespace std;
|
|
using namespace Grid;
|
|
using namespace Grid::QCD;
|
|
|
|
template<class Fobj,class CComplex,int nbasis, class Matrix>
|
|
class MultiGridPreconditioner : public LinearFunction< Lattice<Fobj> > {
|
|
public:
|
|
|
|
typedef Aggregation<Fobj,CComplex,nbasis> Aggregates;
|
|
typedef CoarsenedMatrix<Fobj,CComplex,nbasis> CoarseOperator;
|
|
|
|
typedef typename Aggregation<Fobj,CComplex,nbasis>::siteVector siteVector;
|
|
typedef typename Aggregation<Fobj,CComplex,nbasis>::CoarseScalar CoarseScalar;
|
|
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;
|
|
|
|
Aggregates & _Aggregates;
|
|
CoarseOperator & _CoarseOperator;
|
|
Matrix & _Matrix;
|
|
FineOperator & _FineOperator;
|
|
|
|
// Constructor
|
|
MultiGridPreconditioner(Aggregates &Agg, CoarseOperator &Coarse, FineOperator &Fine,Matrix &FineMatrix)
|
|
: _Aggregates(Agg),
|
|
_CoarseOperator(Coarse),
|
|
_FineOperator(Fine),
|
|
_Matrix(FineMatrix)
|
|
{
|
|
}
|
|
#if 0
|
|
void operator()(const FineField &in, FineField & out) {
|
|
|
|
FineField Min(in._grid);
|
|
FineField tmp(in._grid);
|
|
|
|
CoarseVector Csrc(_CoarseOperator.Grid());
|
|
CoarseVector Ctmp(_CoarseOperator.Grid());
|
|
CoarseVector Csol(_CoarseOperator.Grid());
|
|
|
|
// Monitor completeness of low mode space
|
|
_Aggregates.ProjectToSubspace (Csrc,in);
|
|
_Aggregates.PromoteFromSubspace(Csrc,out);
|
|
std::cout<<"Completeness: "<<std::sqrt(norm2(out)/norm2(in))<<std::endl;
|
|
|
|
// Build some solvers
|
|
ConjugateGradient<FineField> fCG(1.0e-1,1000);
|
|
ConjugateGradient<CoarseVector> CG(1.0e-8,100000);
|
|
|
|
////////////////////////////////////////////////////////////////////////
|
|
// ADEF2: [PTM+Q] in = [1 - Q A] M in + Q in = Min + Q [ in -A Min]
|
|
////////////////////////////////////////////////////////////////////////
|
|
|
|
// Smoothing step, followed by coarse grid correction
|
|
MdagMLinearOperator<Matrix,FineField> MdagMOp(_Matrix);
|
|
|
|
Min=in;
|
|
std::cout<< " Preconditioner in " << norm2(in)<<std::endl;
|
|
_FineOperator.AdjOp(Min,tmp);
|
|
std::cout<< " Preconditioner tmp " << norm2(in)<<std::endl;
|
|
|
|
fCG(MdagMOp,tmp,out);
|
|
|
|
_FineOperator.Op(out,tmp);
|
|
|
|
std::cout<< " Preconditioner in " << norm2(in)<<std::endl;
|
|
std::cout<< " Preconditioner out " << norm2(out)<<std::endl;
|
|
std::cout<< " Preconditioner Aout" << norm2(tmp)<<std::endl;
|
|
|
|
tmp = tmp - in;
|
|
|
|
std::cout<<"preconditioner thinks residual is "<<std::sqrt(norm2(tmp)/norm2(in))<<std::endl;
|
|
|
|
/*
|
|
// _FineOperator.Op(Min,out);
|
|
// out = in -out; // out = in - A Min
|
|
out = in;
|
|
|
|
MdagMLinearOperator<CoarseOperator,CoarseVector> MdagMOp(_CoarseOperator);
|
|
HermitianLinearOperator<CoarseOperator,CoarseVector> HermOp(_CoarseOperator);
|
|
Csol=zero;
|
|
_Aggregates.ProjectToSubspace (Csrc,out);
|
|
HermOp.AdjOp(Csrc,Ctmp);// Normal equations
|
|
CG(MdagMOp ,Ctmp,Csol);
|
|
_Aggregates.PromoteFromSubspace(Csol,out);
|
|
|
|
out = Min + out;;
|
|
*/
|
|
|
|
}
|
|
#endif
|
|
|
|
////////////////////////////////////////////////////////////////////////
|
|
// ADEF2: [PTM+Q] in = [1 - Q A] M in + Q in = Min + Q [ in -A Min]
|
|
// ADEF1: [MP+Q ] in =M [1 - A Q] in + Q in
|
|
////////////////////////////////////////////////////////////////////////
|
|
#if 0
|
|
void operator()(const FineField &in, FineField & out) {
|
|
|
|
CoarseVector Csrc(_CoarseOperator.Grid());
|
|
CoarseVector Ctmp(_CoarseOperator.Grid());
|
|
CoarseVector Csol(_CoarseOperator.Grid());
|
|
|
|
ConjugateGradient<CoarseVector> CG(1.0e-10,100000);
|
|
ConjugateGradient<FineField> fCG(3.0e-2,1000);
|
|
|
|
HermitianLinearOperator<CoarseOperator,CoarseVector> HermOp(_CoarseOperator);
|
|
MdagMLinearOperator<CoarseOperator,CoarseVector> MdagMOp(_CoarseOperator);
|
|
MdagMLinearOperator<Matrix,FineField> fMdagMOp(_Matrix);
|
|
|
|
FineField tmp(in._grid);
|
|
FineField res(in._grid);
|
|
FineField Min(in._grid);
|
|
|
|
// Monitor completeness of low mode space
|
|
_Aggregates.ProjectToSubspace (Csrc,in);
|
|
_Aggregates.PromoteFromSubspace(Csrc,out);
|
|
std::cout<<"Coarse Grid Preconditioner\nCompleteness in: "<<std::sqrt(norm2(out)/norm2(in))<<std::endl;
|
|
|
|
// [PTM+Q] in = [1 - Q A] M in + Q in = Min + Q [ in -A Min]
|
|
_FineOperator.Op(in,tmp);// this is the G5 herm bit
|
|
fCG(fMdagMOp,tmp,Min); // solves MdagM = g5 M g5M
|
|
|
|
// Monitor completeness of low mode space
|
|
_Aggregates.ProjectToSubspace (Csrc,Min);
|
|
_Aggregates.PromoteFromSubspace(Csrc,out);
|
|
std::cout<<"Completeness Min: "<<std::sqrt(norm2(out)/norm2(Min))<<std::endl;
|
|
|
|
_FineOperator.Op(Min,tmp);
|
|
tmp = in - tmp; // in - A Min
|
|
|
|
Csol=zero;
|
|
_Aggregates.ProjectToSubspace (Csrc,tmp);
|
|
HermOp.AdjOp(Csrc,Ctmp);// Normal equations
|
|
CG(MdagMOp,Ctmp,Csol);
|
|
|
|
HermOp.Op(Csol,Ctmp);
|
|
Ctmp=Ctmp-Csrc;
|
|
std::cout<<"coarse space true residual "<<std::sqrt(norm2(Ctmp)/norm2(Csrc))<<std::endl;
|
|
_Aggregates.PromoteFromSubspace(Csol,out);
|
|
|
|
_FineOperator.Op(out,res);
|
|
res=res-tmp;
|
|
std::cout<<"promoted sol residual "<<std::sqrt(norm2(res)/norm2(tmp))<<std::endl;
|
|
_Aggregates.ProjectToSubspace (Csrc,res);
|
|
std::cout<<"coarse space proj of residual "<<norm2(Csrc)<<std::endl;
|
|
|
|
|
|
out = out+Min; // additive coarse space correction
|
|
// out = Min; // no additive coarse space correction
|
|
|
|
_FineOperator.Op(out,tmp);
|
|
tmp=tmp-in; // tmp is new residual
|
|
|
|
std::cout<< " Preconditioner in " << norm2(in)<<std::endl;
|
|
std::cout<< " Preconditioner out " << norm2(out)<<std::endl;
|
|
std::cout<<"preconditioner thinks residual is "<<std::sqrt(norm2(tmp)/norm2(in))<<std::endl;
|
|
|
|
}
|
|
#endif
|
|
// ADEF1: [MP+Q ] in =M [1 - A Q] in + Q in
|
|
void operator()(const FineField &in, FineField & out) {
|
|
|
|
CoarseVector Csrc(_CoarseOperator.Grid());
|
|
CoarseVector Ctmp(_CoarseOperator.Grid());
|
|
CoarseVector Csol(_CoarseOperator.Grid()); Csol=zero;
|
|
|
|
ConjugateGradient<CoarseVector> CG(1.0e-10,100000);
|
|
ConjugateGradient<FineField> fCG(1.0e-3,1000);
|
|
|
|
HermitianLinearOperator<CoarseOperator,CoarseVector> HermOp(_CoarseOperator);
|
|
MdagMLinearOperator<CoarseOperator,CoarseVector> MdagMOp(_CoarseOperator);
|
|
MdagMLinearOperator<Matrix,FineField> fMdagMOp(_Matrix);
|
|
|
|
FineField tmp(in._grid);
|
|
FineField res(in._grid);
|
|
FineField Qin(in._grid);
|
|
|
|
// Monitor completeness of low mode space
|
|
// _Aggregates.ProjectToSubspace (Csrc,in);
|
|
// _Aggregates.PromoteFromSubspace(Csrc,out);
|
|
// std::cout<<"Coarse Grid Preconditioner\nCompleteness in: "<<std::sqrt(norm2(out)/norm2(in))<<std::endl;
|
|
|
|
_Aggregates.ProjectToSubspace (Csrc,in);
|
|
HermOp.AdjOp(Csrc,Ctmp);// Normal equations
|
|
CG(MdagMOp,Ctmp,Csol);
|
|
_Aggregates.PromoteFromSubspace(Csol,Qin);
|
|
|
|
|
|
_FineOperator.Op(Qin,tmp);// A Q in
|
|
tmp = in - tmp; // in - A Q in
|
|
|
|
_FineOperator.Op(tmp,res);// this is the G5 herm bit
|
|
fCG(fMdagMOp,res,out); // solves MdagM = g5 M g5M
|
|
|
|
out = out + Qin;
|
|
|
|
_FineOperator.Op(out,tmp);
|
|
tmp=tmp-in; // tmp is new residual
|
|
|
|
std::cout<<"preconditioner thinks residual is "<<std::sqrt(norm2(tmp)/norm2(in))<<std::endl;
|
|
|
|
}
|
|
|
|
};
|
|
|
|
int main (int argc, char ** argv)
|
|
{
|
|
Grid_init(&argc,&argv);
|
|
|
|
const int Ls=8;
|
|
|
|
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?
|
|
///////////////////////////////////////////////////
|
|
const int block=4;
|
|
std::vector<int> clatt = GridDefaultLatt();
|
|
for(int d=0;d<clatt.size();d++){
|
|
clatt[d] = clatt[d]/block;
|
|
}
|
|
GridCartesian *Coarse4d = SpaceTimeGrid::makeFourDimGrid(clatt, GridDefaultSimd(Nd,vComplex::Nsimd()),GridDefaultMpi());;
|
|
GridCartesian *Coarse5d = SpaceTimeGrid::makeFiveDimGrid(1,Coarse4d);
|
|
|
|
std::vector<int> seeds4({1,2,3,4});
|
|
std::vector<int> seeds5({5,6,7,8});
|
|
std::vector<int> cseeds({5,6,7,8});
|
|
GridParallelRNG RNG5(FGrid); RNG5.SeedFixedIntegers(seeds5);
|
|
GridParallelRNG RNG4(UGrid); RNG4.SeedFixedIntegers(seeds4);
|
|
GridParallelRNG CRNG(Coarse5d);CRNG.SeedFixedIntegers(cseeds);
|
|
|
|
Gamma g5(Gamma::Gamma5);
|
|
|
|
LatticeFermion src(FGrid); gaussian(RNG5,src);// src=src+g5*src;
|
|
LatticeFermion result(FGrid); result=zero;
|
|
LatticeFermion ref(FGrid); ref=zero;
|
|
LatticeFermion tmp(FGrid);
|
|
LatticeFermion err(FGrid);
|
|
LatticeGaugeField Umu(UGrid);
|
|
|
|
NerscField header;
|
|
std::string file("./ckpoint_lat.4000");
|
|
readNerscConfiguration(Umu,header,file);
|
|
|
|
// SU3::ColdConfiguration(RNG4,Umu);
|
|
// SU3::TepidConfiguration(RNG4,Umu);
|
|
// SU3::HotConfiguration(RNG4,Umu);
|
|
// Umu=zero;
|
|
|
|
RealD mass=0.01;
|
|
RealD M5=1.8;
|
|
|
|
std::cout << "**************************************************"<< std::endl;
|
|
std::cout << "Building g5R5 hermitian DWF operator" <<std::endl;
|
|
std::cout << "**************************************************"<< std::endl;
|
|
DomainWallFermion Ddwf(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5);
|
|
|
|
const int nbasis = 6;
|
|
|
|
typedef Aggregation<vSpinColourVector,vTComplex,nbasis> Subspace;
|
|
typedef CoarsenedMatrix<vSpinColourVector,vTComplex,nbasis> CoarseOperator;
|
|
typedef CoarseOperator::CoarseVector CoarseVector;
|
|
|
|
std::cout << "**************************************************"<< std::endl;
|
|
std::cout << "Calling Aggregation class to build subspace" <<std::endl;
|
|
std::cout << "**************************************************"<< std::endl;
|
|
MdagMLinearOperator<DomainWallFermion,LatticeFermion> HermDefOp(Ddwf);
|
|
Subspace Aggregates(Coarse5d,FGrid);
|
|
Aggregates.CreateSubspace(RNG5,HermDefOp);
|
|
// for(int i=0;i<nbasis;i++){
|
|
// result = Aggregates.subspace[i];
|
|
// Aggregates.subspace[i]=result+g5*result;
|
|
// }
|
|
result=zero;
|
|
|
|
std::cout << "**************************************************"<< std::endl;
|
|
std::cout << "Building coarse representation of Indef operator" <<std::endl;
|
|
std::cout << "**************************************************"<< std::endl;
|
|
Gamma5R5HermitianLinearOperator<DomainWallFermion,LatticeFermion> HermIndefOp(Ddwf);
|
|
CoarsenedMatrix<vSpinColourVector,vTComplex,nbasis> LDOp(*Coarse5d);
|
|
LDOp.CoarsenOperator(FGrid,HermIndefOp,Aggregates);
|
|
|
|
std::cout << "**************************************************"<< std::endl;
|
|
std::cout << "Testing some coarse space solvers " <<std::endl;
|
|
std::cout << "**************************************************"<< std::endl;
|
|
CoarseVector c_src (Coarse5d);
|
|
CoarseVector c_res (Coarse5d);
|
|
gaussian(CRNG,c_src);
|
|
c_res=zero;
|
|
|
|
std::cout << "**************************************************"<< std::endl;
|
|
std::cout << "Solving posdef-CG on coarse space "<< std::endl;
|
|
std::cout << "**************************************************"<< std::endl;
|
|
MdagMLinearOperator<CoarseOperator,CoarseVector> PosdefLdop(LDOp);
|
|
ConjugateGradient<CoarseVector> CG(1.0e-6,100000);
|
|
CG(PosdefLdop,c_src,c_res);
|
|
|
|
// std::cout << "**************************************************"<< std::endl;
|
|
// std::cout << "Solving indef-MCR on coarse space "<< std::endl;
|
|
// std::cout << "**************************************************"<< std::endl;
|
|
// HermitianLinearOperator<CoarseOperator,CoarseVector> HermIndefLdop(LDOp);
|
|
// ConjugateResidual<CoarseVector> MCR(1.0e-6,100000);
|
|
//MCR(HermIndefLdop,c_src,c_res);
|
|
|
|
std::cout << "**************************************************"<< std::endl;
|
|
std::cout << "Building deflation preconditioner "<< std::endl;
|
|
std::cout << "**************************************************"<< std::endl;
|
|
|
|
MultiGridPreconditioner <vSpinColourVector,vTComplex,nbasis,DomainWallFermion> Precon(Aggregates, LDOp,HermIndefOp,Ddwf);
|
|
TrivialPrecon<LatticeFermion> simple;
|
|
|
|
std::cout << "**************************************************"<< std::endl;
|
|
std::cout << "Unprec CG "<< std::endl;
|
|
std::cout << "**************************************************"<< std::endl;
|
|
// TrivialPrecon<LatticeFermion> simple;
|
|
ConjugateGradient<LatticeFermion> fCG(1.0e-8,100000);
|
|
fCG(HermDefOp,src,result);
|
|
|
|
std::cout << "**************************************************"<< std::endl;
|
|
std::cout << "Testing GCR on indef matrix "<< std::endl;
|
|
std::cout << "**************************************************"<< std::endl;
|
|
// PrecGeneralisedConjugateResidual<LatticeFermion> UPGCR(1.0e-8,100000,simple,8,128);
|
|
// UPGCR(HermIndefOp,src,result);
|
|
|
|
std::cout << "**************************************************"<< std::endl;
|
|
std::cout << "Building a two level PGCR "<< std::endl;
|
|
std::cout << "**************************************************"<< std::endl;
|
|
PrecGeneralisedConjugateResidual<LatticeFermion> PGCR(1.0e-8,100000,Precon,8,128);
|
|
std::cout<<"checking norm src "<<norm2(src)<<std::endl;
|
|
PGCR(HermIndefOp,src,result);
|
|
|
|
std::cout << "**************************************************"<< std::endl;
|
|
std::cout << "Done "<< std::endl;
|
|
std::cout << "**************************************************"<< std::endl;
|
|
Grid_finalize();
|
|
}
|