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Grid/tests/solver/Test_dwf_multigrid.cc

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/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./tests/Test_dwf_hdcr.cc
Copyright (C) 2015
Author: Antonin Portelli <antonin.portelli@me.com>
Author: Peter Boyle <paboyle@ph.ed.ac.uk>
Author: paboyle <paboyle@ph.ed.ac.uk>
This program is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License along
with this program; if not, write to the Free Software Foundation, Inc.,
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
See the full license in the file "LICENSE" in the top level distribution directory
*************************************************************************************/
/* END LEGAL */
#include <Grid/Grid.h>
#include <Grid/algorithms/iterative/PrecGeneralisedConjugateResidual.h>
#include <Grid/algorithms/iterative/PrecGeneralisedConjugateResidualNonHermitian.h>
#include <Grid/algorithms/iterative/BiCGSTAB.h>
using namespace std;
using namespace Grid;
/* Params
* Grid:
* block1(4)
* block2(4)
*
* Subspace
* * Fine : Subspace(nbasis,hi,lo,order,first,step) -- 32, 60,0.02,500,100,100
* * Coarse: Subspace(nbasis,hi,lo,order,first,step) -- 32, 18,0.02,500,100,100
* Smoother:
* * Fine: Cheby(hi, lo, order) -- 60,0.5,10
* * Coarse: Cheby(hi, lo, order) -- 12,0.1,4
* Lanczos:
* CoarseCoarse IRL( Nk, Nm, Nstop, poly(lo,hi,order)) 24,36,24,0.002,4.0,61
*/
template<class Field> class SolverWrapper : public LinearFunction<Field> {
private:
LinearOperatorBase<Field> & _Matrix;
OperatorFunction<Field> & _Solver;
LinearFunction<Field> & _Guess;
public:
using LinearFunction<Field>::operator();
/////////////////////////////////////////////////////
// Wrap the usual normal equations trick
/////////////////////////////////////////////////////
SolverWrapper(LinearOperatorBase<Field> &Matrix,
OperatorFunction<Field> &Solver,
LinearFunction<Field> &Guess)
: _Matrix(Matrix), _Solver(Solver), _Guess(Guess) {};
void operator() (const Field &in, Field &out){
_Guess(in,out);
_Solver(_Matrix,in,out); // Mdag M out = Mdag in
}
};
// Must use a non-hermitian solver
template<class Matrix,class Field>
class PVdagMLinearOperator : public LinearOperatorBase<Field> {
Matrix &_Mat;
Matrix &_PV;
public:
PVdagMLinearOperator(Matrix &Mat,Matrix &PV): _Mat(Mat),_PV(PV){};
void OpDiag (const Field &in, Field &out) {
assert(0);
}
void OpDir (const Field &in, Field &out,int dir,int disp) {
assert(0);
}
void OpDirAll (const Field &in, std::vector<Field> &out){
assert(0);
};
void Op (const Field &in, Field &out){
Field tmp(in.Grid());
_Mat.M(in,tmp);
_PV.Mdag(tmp,out);
}
void AdjOp (const Field &in, Field &out){
Field tmp(in.Grid());
_PV.M(tmp,out);
_Mat.Mdag(in,tmp);
}
void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2){
assert(0);
}
void HermOp(const Field &in, Field &out){
assert(0);
}
};
RealD InverseApproximation(RealD x){
return 1.0/x;
}
template<class Field,class Matrix> class ChebyshevSmoother : public LinearFunction<Field>
{
public:
using LinearFunction<Field>::operator();
typedef LinearOperatorBase<Field> FineOperator;
Matrix & _SmootherMatrix;
FineOperator & _SmootherOperator;
Chebyshev<Field> Cheby;
ChebyshevSmoother(RealD _lo,RealD _hi,int _ord, FineOperator &SmootherOperator,Matrix &SmootherMatrix) :
_SmootherOperator(SmootherOperator),
_SmootherMatrix(SmootherMatrix),
Cheby(_lo,_hi,_ord,InverseApproximation)
{};
void operator() (const Field &in, Field &out)
{
Field tmp(in.Grid());
MdagMLinearOperator<Matrix,Field> MdagMOp(_SmootherMatrix);
_SmootherOperator.AdjOp(in,tmp);
Cheby(MdagMOp,tmp,out);
}
};
template<class Field,class Matrix> class MirsSmoother : public LinearFunction<Field>
{
public:
typedef LinearOperatorBase<Field> FineOperator;
Matrix & SmootherMatrix;
FineOperator & SmootherOperator;
RealD tol;
RealD shift;
int maxit;
MirsSmoother(RealD _shift,RealD _tol,int _maxit,FineOperator &_SmootherOperator,Matrix &_SmootherMatrix) :
shift(_shift),tol(_tol),maxit(_maxit),
SmootherOperator(_SmootherOperator),
SmootherMatrix(_SmootherMatrix)
{};
void operator() (const Field &in, Field &out)
{
ZeroGuesser<Field> Guess;
ConjugateGradient<Field> CG(tol,maxit,false);
Field src(in.Grid());
ShiftedMdagMLinearOperator<SparseMatrixBase<Field>,Field> MdagMOp(SmootherMatrix,shift);
SmootherOperator.AdjOp(in,src);
Guess(src,out);
CG(MdagMOp,src,out);
}
};
#define GridLogLevel std::cout << GridLogMessage <<std::string(level,'\t')<< " Level "<<level <<" "
template<class Fobj,class CComplex,int nbasis, class CoarseSolver>
class HDCRPreconditioner : public LinearFunction< Lattice<Fobj> > {
public:
using LinearFunction<Lattice<Fobj> >::operator();
typedef Aggregation<Fobj,CComplex,nbasis> Aggregates;
typedef CoarsenedMatrix<Fobj,CComplex,nbasis> CoarseOperator;
typedef typename Aggregation<Fobj,CComplex,nbasis>::CoarseVector CoarseVector;
typedef typename Aggregation<Fobj,CComplex,nbasis>::CoarseMatrix CoarseMatrix;
typedef typename Aggregation<Fobj,CComplex,nbasis>::FineField FineField;
typedef LinearOperatorBase<FineField> FineOperator;
typedef LinearFunction <FineField> FineSmoother;
Aggregates & _Aggregates;
FineOperator & _FineOperator;
FineSmoother & _Smoother;
CoarseSolver & _CoarseSolve;
int level; void Level(int lv) {level = lv; };
HDCRPreconditioner(Aggregates &Agg,
FineOperator &Fine,
FineSmoother &Smoother,
CoarseSolver &CoarseSolve_)
: _Aggregates(Agg),
_FineOperator(Fine),
_Smoother(Smoother),
_CoarseSolve(CoarseSolve_),
level(1) { }
virtual void operator()(const FineField &in, FineField & out)
{
auto CoarseGrid = _Aggregates.CoarseGrid;
CoarseVector Csrc(CoarseGrid);
CoarseVector Csol(CoarseGrid);
FineField vec1(in.Grid());
FineField vec2(in.Grid());
double t;
// Fine Smoother
t=-usecond();
_Smoother(in,out);
t+=usecond();
GridLogLevel << "Smoother took "<< t/1000.0<< "ms" <<std::endl;
// Update the residual
_FineOperator.Op(out,vec1); sub(vec1, in ,vec1);
// Fine to Coarse
t=-usecond();
_Aggregates.ProjectToSubspace (Csrc,vec1);
t+=usecond();
GridLogLevel << "Project to coarse took "<< t/1000.0<< "ms" <<std::endl;
// Coarse correction
t=-usecond();
_CoarseSolve(Csrc,Csol);
t+=usecond();
GridLogLevel << "Coarse solve took "<< t/1000.0<< "ms" <<std::endl;
// Coarse to Fine
t=-usecond();
_Aggregates.PromoteFromSubspace(Csol,vec1);
add(out,out,vec1);
t+=usecond();
GridLogLevel << "Promote to this level took "<< t/1000.0<< "ms" <<std::endl;
// Residual
_FineOperator.Op(out,vec1); sub(vec1 ,in , vec1);
// Fine Smoother
t=-usecond();
_Smoother(vec1,vec2);
t+=usecond();
GridLogLevel << "Smoother took "<< t/1000.0<< "ms" <<std::endl;
add( out,out,vec2);
}
};
/*
template<class Fobj,class CComplex,int nbasis, class Guesser, class CoarseSolver>
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>::CoarseVector CoarseVector;
typedef typename Aggregation<Fobj,CComplex,nbasis>::CoarseMatrix CoarseMatrix;
typedef typename Aggregation<Fobj,CComplex,nbasis>::FineField FineField;
typedef LinearOperatorBase<FineField> FineOperator;
typedef LinearFunction <FineField> FineSmoother;
Aggregates & _Aggregates;
CoarseOperator & _CoarseOperator;
FineOperator & _FineOperator;
Guesser & _Guess;
FineSmoother & _Smoother;
CoarseSolver & _CoarseSolve;
int level; void Level(int lv) {level = lv; };
MultiGridPreconditioner(Aggregates &Agg, CoarseOperator &Coarse,
FineOperator &Fine,
FineSmoother &Smoother,
Guesser &Guess_,
CoarseSolver &CoarseSolve_)
: _Aggregates(Agg),
_CoarseOperator(Coarse),
_FineOperator(Fine),
_Smoother(Smoother),
_Guess(Guess_),
_CoarseSolve(CoarseSolve_),
level(1) { }
virtual void operator()(const FineField &in, FineField & out)
{
CoarseVector Csrc(_CoarseOperator.Grid());
CoarseVector Csol(_CoarseOperator.Grid());
FineField vec1(in.Grid());
FineField vec2(in.Grid());
double t;
// Fine Smoother
t=-usecond();
_Smoother(in,out);
t+=usecond();
GridLogLevel << "Smoother took "<< t/1000.0<< "ms" <<std::endl;
// Update the residual
_FineOperator.Op(out,vec1); sub(vec1, in ,vec1);
// Fine to Coarse
t=-usecond();
_Aggregates.ProjectToSubspace (Csrc,vec1);
t+=usecond();
GridLogLevel << "Project to coarse took "<< t/1000.0<< "ms" <<std::endl;
// Coarse correction
t=-usecond();
_CoarseSolve(Csrc,Csol);
t+=usecond();
GridLogLevel << "Coarse solve took "<< t/1000.0<< "ms" <<std::endl;
// Coarse to Fine
t=-usecond();
_Aggregates.PromoteFromSubspace(Csol,vec1);
add(out,out,vec1);
t+=usecond();
GridLogLevel << "Promote to this level took "<< t/1000.0<< "ms" <<std::endl;
// Residual
_FineOperator.Op(out,vec1); sub(vec1 ,in , vec1);
// Fine Smoother
t=-usecond();
_Smoother(vec1,vec2);
t+=usecond();
GridLogLevel << "Smoother took "<< t/1000.0<< "ms" <<std::endl;
add( out,out,vec2);
}
};
*/
int main (int argc, char ** argv)
{
Grid_init(&argc,&argv);
const int Ls=16;
GridCartesian * UGrid = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplex::Nsimd()),GridDefaultMpi());
GridRedBlackCartesian * UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
GridCartesian * FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid);
GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGrid);
///////////////////////////////////////////////////
// Construct a coarsened grid; utility for this?
///////////////////////////////////////////////////
std::vector<int> block ({2,2,2,2});
std::vector<int> blockc ({2,2,2,2});
const int nbasis= 32;
const int nbasisc= 32;
auto clatt = GridDefaultLatt();
for(int d=0;d<clatt.size();d++){
clatt[d] = clatt[d]/block[d];
}
auto cclatt = clatt;
for(int d=0;d<clatt.size();d++){
cclatt[d] = clatt[d]/blockc[d];
}
GridCartesian *Coarse4d = SpaceTimeGrid::makeFourDimGrid(clatt, GridDefaultSimd(Nd,vComplex::Nsimd()),GridDefaultMpi());;
GridCartesian *Coarse5d = SpaceTimeGrid::makeFiveDimGrid(1,Coarse4d);
GridCartesian *CoarseCoarse4d = SpaceTimeGrid::makeFourDimGrid(cclatt, GridDefaultSimd(Nd,vComplex::Nsimd()),GridDefaultMpi());;
GridCartesian *CoarseCoarse5d = SpaceTimeGrid::makeFiveDimGrid(1,CoarseCoarse4d);
GridRedBlackCartesian * Coarse4dRB = SpaceTimeGrid::makeFourDimRedBlackGrid(Coarse4d);
GridRedBlackCartesian * Coarse5dRB = SpaceTimeGrid::makeFiveDimRedBlackGrid(1,Coarse4d);
GridRedBlackCartesian *CoarseCoarse4dRB = SpaceTimeGrid::makeFourDimRedBlackGrid(CoarseCoarse4d);
GridRedBlackCartesian *CoarseCoarse5dRB = SpaceTimeGrid::makeFiveDimRedBlackGrid(1,CoarseCoarse4d);
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);
LatticeFermion src(FGrid); gaussian(RNG5,src);// src=src+g5*src;
LatticeFermion result(FGrid);
LatticeGaugeField Umu(UGrid);
FieldMetaData header;
std::string file("./ckpoint_lat.4000");
NerscIO::readConfiguration(Umu,header,file);
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
std::cout<<GridLogMessage << "Building g5R5 hermitian DWF operator" <<std::endl;
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
RealD mass=0.001;
RealD M5=1.8;
DomainWallFermionR Ddwf(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5);
DomainWallFermionR Dpv (Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,1.0,M5);
typedef Aggregation<vSpinColourVector,vTComplex,nbasis> Subspace;
typedef CoarsenedMatrix<vSpinColourVector,vTComplex,nbasis> CoarseOperator;
typedef CoarseOperator::CoarseVector CoarseVector;
typedef CoarseOperator::siteVector siteVector;
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
std::cout<<GridLogMessage << "Calling Aggregation class to build subspace" <<std::endl;
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
MdagMLinearOperator<DomainWallFermionR,LatticeFermion> HermDefOp(Ddwf);
Subspace Aggregates(Coarse5d,FGrid,0);
assert ( (nbasis & 0x1)==0);
{
int nb=nbasis/2;
Aggregates.CreateSubspaceChebyshev(RNG5,HermDefOp,nb,60.0,0.02,500,100,100,0.0);
for(int n=0;n<nb;n++){
G5R5(Aggregates.subspace[n+nb],Aggregates.subspace[n]);
}
LatticeFermion A(FGrid);
LatticeFermion B(FGrid);
for(int n=0;n<nb;n++){
A = Aggregates.subspace[n];
B = Aggregates.subspace[n+nb];
Aggregates.subspace[n] = A+B; // 1+G5 // eigen value of G5R5 is +1
Aggregates.subspace[n+nb]= A-B; // 1-G5 // eigen value of G5R5 is -1
}
}
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
std::cout<<GridLogMessage << " Will coarsen G5R5 M and G5R5 Mpv in G5R5 compatible way " <<std::endl;
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
typedef CoarsenedMatrix<vSpinColourVector,vTComplex,nbasis> Level1Op;
typedef CoarsenedMatrix<siteVector,iScalar<vTComplex>,nbasisc> Level2Op;
Gamma5R5HermitianLinearOperator<DomainWallFermionR,LatticeFermion> HermIndefOp(Ddwf);
Gamma5R5HermitianLinearOperator<DomainWallFermionR,LatticeFermion> HermIndefOpPV(Dpv);
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
std::cout<<GridLogMessage << "Building coarse representation of Indef operator" <<std::endl;
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
Level1Op LDOp(*Coarse5d,*Coarse5dRB,1); LDOp.CoarsenOperator(FGrid,HermIndefOp,Aggregates);
Level1Op LDOpPV(*Coarse5d,*Coarse5dRB,1); LDOpPV.CoarsenOperator(FGrid,HermIndefOpPV,Aggregates);
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
std::cout<<GridLogMessage << " Testing fine and coarse solvers " <<std::endl;
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
CoarseVector c_src(Coarse5d); c_src=1.0;
CoarseVector c_res(Coarse5d);
LatticeFermion f_src(FGrid); f_src=1.0;
LatticeFermion f_res(FGrid);
LatticeFermion f_src_e(FrbGrid); f_src_e=1.0;
LatticeFermion f_res_e(FrbGrid);
RealD tol=1.0e-8;
int MaxIt = 10000;
BiCGSTAB<CoarseVector> CoarseBiCGSTAB(tol,MaxIt);
ConjugateGradient<CoarseVector> CoarseCG(tol,MaxIt);
// GeneralisedMinimalResidual<CoarseVector> CoarseGMRES(tol,MaxIt,20);
BiCGSTAB<LatticeFermion> FineBiCGSTAB(tol,MaxIt);
ConjugateGradient<LatticeFermion> FineCG(tol,MaxIt);
// GeneralisedMinimalResidual<LatticeFermion> FineGMRES(tol,MaxIt,20);
MdagMLinearOperator<DomainWallFermionR,LatticeFermion> FineMdagM(Ddwf); // M^\dag M
PVdagMLinearOperator<DomainWallFermionR,LatticeFermion> FinePVdagM(Ddwf,Dpv);// M_{pv}^\dag M
SchurDiagMooeeOperator<DomainWallFermionR,LatticeFermion> FineDiagMooee(Ddwf); // M_ee - Meo Moo^-1 Moe
SchurDiagOneOperator<DomainWallFermionR,LatticeFermion> FineDiagOne(Ddwf); // 1 - M_ee^{-1} Meo Moo^{-1} Moe e
MdagMLinearOperator<Level1Op,CoarseVector> CoarseMdagM(LDOp);
PVdagMLinearOperator<Level1Op,CoarseVector> CoarsePVdagM(LDOp,LDOpPV);
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
std::cout<<GridLogMessage << "Fine CG unprec "<< std::endl;
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
f_res=Zero();
FineCG(FineMdagM,f_src,f_res);
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
std::cout<<GridLogMessage << "Fine CG prec DiagMooee "<< std::endl;
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
f_res_e=Zero();
FineCG(FineDiagMooee,f_src_e,f_res_e);
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
std::cout<<GridLogMessage << "Fine CG prec DiagOne "<< std::endl;
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
f_res_e=Zero();
FineCG(FineDiagOne,f_src_e,f_res_e);
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
std::cout<<GridLogMessage << "Fine BiCGSTAB unprec "<< std::endl;
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
f_res=Zero();
FineBiCGSTAB(FinePVdagM,f_src,f_res);
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
std::cout<<GridLogMessage << "Coarse BiCGSTAB "<< std::endl;
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
c_res=Zero();
CoarseBiCGSTAB(CoarsePVdagM,c_src,c_res);
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
std::cout<<GridLogMessage << "Coarse CG unprec "<< std::endl;
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
c_res=Zero();
CoarseCG(CoarseMdagM,c_src,c_res);
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
std::cout<<GridLogMessage << " Running Coarse grid Lanczos "<< std::endl;
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
Chebyshev<CoarseVector> IRLCheby(0.03,12.0,71); // 1 iter
FunctionHermOp<CoarseVector> IRLOpCheby(IRLCheby,CoarseMdagM);
PlainHermOp<CoarseVector> IRLOp (CoarseMdagM);
int Nk=64;
int Nm=128;
int Nstop=Nk;
ImplicitlyRestartedLanczos<CoarseVector> IRL(IRLOpCheby,IRLOp,Nstop,Nk,Nm,1.0e-3,20);
int Nconv;
std::vector<RealD> eval(Nm);
std::vector<CoarseVector> evec(Nm,Coarse5d);
IRL.calc(eval,evec,c_src,Nconv);
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
std::cout<<GridLogMessage << " Running Coarse grid deflated solver "<< std::endl;
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
DeflatedGuesser<CoarseVector> DeflCoarseGuesser(evec,eval);
NormalEquations<CoarseVector> DeflCoarseCGNE (LDOp,CoarseCG,DeflCoarseGuesser);
c_res=Zero();
DeflCoarseCGNE(c_src,c_res);
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
std::cout<<GridLogMessage << " Running HDCR "<< std::endl;
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
ConjugateGradient<CoarseVector> CoarseMgridCG(0.001,1000);
ChebyshevSmoother<LatticeFermion,DomainWallFermionR> FineSmoother(0.5,60.0,10,HermIndefOp,Ddwf);
typedef HDCRPreconditioner<vSpinColourVector, vTComplex,nbasis, NormalEquations<CoarseVector> > TwoLevelHDCR;
TwoLevelHDCR TwoLevelPrecon(Aggregates,
HermIndefOp,
FineSmoother,
DeflCoarseCGNE);
TwoLevelPrecon.Level(1);
// PrecGeneralisedConjugateResidual<LatticeFermion> l1PGCR(1.0e-8,100,HermIndefOp,TwoLevelPrecon,16,16);
PrecGeneralisedConjugateResidualNonHermitian<LatticeFermion> l1PGCR(1.0e-8,100,HermIndefOp,TwoLevelPrecon,16,16);
l1PGCR.Level(1);
f_res=Zero();
CoarseCG.Tolerance=0.02;
l1PGCR(f_src,f_res);
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
std::cout<<GridLogMessage << " Running Multigrid "<< std::endl;
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
BiCGSTAB<CoarseVector> CoarseMgridBiCGSTAB(0.01,1000);
BiCGSTAB<LatticeFermion> FineMgridBiCGSTAB(0.0,24);
ZeroGuesser<CoarseVector> CoarseZeroGuesser;
ZeroGuesser<LatticeFermion> FineZeroGuesser;
SolverWrapper<LatticeFermion> FineBiCGSmoother( FinePVdagM, FineMgridBiCGSTAB, FineZeroGuesser);
SolverWrapper<CoarseVector> CoarsePVdagMSolver(CoarsePVdagM,CoarseMgridBiCGSTAB,CoarseZeroGuesser);
typedef HDCRPreconditioner<vSpinColourVector, vTComplex,nbasis, SolverWrapper<CoarseVector> > TwoLevelMG;
TwoLevelMG _TwoLevelMG(Aggregates,
FinePVdagM,
FineBiCGSmoother,
CoarsePVdagMSolver);
_TwoLevelMG.Level(1);
PrecGeneralisedConjugateResidualNonHermitian<LatticeFermion> pvPGCR(1.0e-8,100,FinePVdagM,_TwoLevelMG,16,16);
pvPGCR.Level(1);
f_res=Zero();
pvPGCR(f_src,f_res);
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
std::cout<<GridLogMessage << "Done "<< std::endl;
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
Grid_finalize();
}
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