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https://github.com/paboyle/Grid.git
synced 2024-09-20 09:15:38 +01:00
Domain decomposition SAP precon implemented and working but not as fast as I hoped.
This commit is contained in:
paboyle
parent
6b97b271ae
commit
b8a38f292d
@ -6,6 +6,22 @@ using namespace std;
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using namespace Grid;
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using namespace Grid::QCD;
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class myclass {
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public:
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GRID_DECL_CLASS_MEMBERS(myclass,
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int, domaindecompose,
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int, domainsize,
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int, order,
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double, lo,
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double, hi,
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int, steps);
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myclass(){};
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};
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myclass params;
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RealD InverseApproximation(RealD x){
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return 1.0/x;
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}
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@ -26,15 +42,21 @@ public:
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Aggregates & _Aggregates;
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CoarseOperator & _CoarseOperator;
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Matrix & _Matrix;
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Matrix & _FineMatrix;
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FineOperator & _FineOperator;
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Matrix & _SmootherMatrix;
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FineOperator & _SmootherOperator;
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// Constructor
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MultiGridPreconditioner(Aggregates &Agg, CoarseOperator &Coarse, FineOperator &Fine,Matrix &FineMatrix)
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MultiGridPreconditioner(Aggregates &Agg, CoarseOperator &Coarse,
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FineOperator &Fine,Matrix &FineMatrix,
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FineOperator &Smooth,Matrix &SmootherMatrix)
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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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_FineMatrix(FineMatrix),
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_SmootherOperator(Smooth),
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_SmootherMatrix(SmootherMatrix)
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{
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}
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@ -43,7 +65,7 @@ public:
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FineField p1(in._grid);
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FineField p2(in._grid);
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MdagMLinearOperator<Matrix,FineField> fMdagMOp(_Matrix);
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MdagMLinearOperator<Matrix,FineField> fMdagMOp(_FineMatrix);
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p1=in;
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RealD absp2;
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@ -58,74 +80,20 @@ public:
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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<<GridLogMessage<<"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-3,1000);
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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<<GridLogMessage<< " Preconditioner in " << norm2(in)<<std::endl;
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_FineOperator.AdjOp(Min,tmp);
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std::cout<<GridLogMessage<< " 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<<GridLogMessage<< " Preconditioner in " << norm2(in)<<std::endl;
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std::cout<<GridLogMessage<< " Preconditioner out " << norm2(out)<<std::endl;
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std::cout<<GridLogMessage<< " Preconditioner Aout" << norm2(tmp)<<std::endl;
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tmp = tmp - in;
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std::cout<<GridLogMessage<<"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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if ( params.domaindecompose ) {
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operatorSAP(in,out);
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} else {
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operatorCheby(in,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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#if 1
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void operatorADEF2(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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@ -136,7 +104,7 @@ public:
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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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MdagMLinearOperator<Matrix,FineField> fMdagMOp(_FineMatrix);
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FineField tmp(in._grid);
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FineField res(in._grid);
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@ -189,8 +157,8 @@ public:
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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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#if 0
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void operator()(const FineField &in, FineField & out) {
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#if 1
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void operatorADEF1(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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@ -201,7 +169,7 @@ public:
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HermitianLinearOperator<CoarseOperator,CoarseVector> HermOp(_CoarseOperator);
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MdagMLinearOperator<CoarseOperator,CoarseVector> MdagMOp(_CoarseOperator);
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ShiftedMdagMLinearOperator<Matrix,FineField> fMdagMOp(_Matrix,0.1);
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ShiftedMdagMLinearOperator<Matrix,FineField> fMdagMOp(_FineMatrix,0.1);
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FineField tmp(in._grid);
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FineField res(in._grid);
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@ -234,14 +202,79 @@ public:
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}
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#endif
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void SAP (const FineField & src,FineField & psi){
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Lattice<iScalar<vInteger> > coor(src._grid);
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Lattice<iScalar<vInteger> > subset(src._grid);
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FineField r(src._grid);
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FineField zz(src._grid); zz=zero;
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FineField vec1(src._grid);
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FineField vec2(src._grid);
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const Integer block=params.domainsize;
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subset=zero;
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for(int mu=0;mu<Nd;mu++){
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LatticeCoordinate(coor,mu+1);
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coor = div(coor,block);
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subset = subset+coor;
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}
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subset = mod(subset,(Integer)2);
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ShiftedMdagMLinearOperator<Matrix,FineField> fMdagMOp(_SmootherMatrix,0.0);
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Chebyshev<FineField> Cheby (params.lo,params.hi,params.order,InverseApproximation);
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RealD resid;
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for(int i=0;i<params.steps;i++){
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// Even domain residual
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_FineOperator.Op(psi,vec1);// this is the G5 herm bit
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r= src - vec1 ;
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resid = norm2(r) /norm2(src);
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std::cout << "SAP "<<i<<" resid "<<resid<<std::endl;
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// Npoly*outer*2 1/2 vol matmuls.
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// 71 iters => 20*71 = 1400 matmuls.
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// 2*71 = 140 comms.
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// Even domain solve
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r= where(subset==(Integer)0,r,zz);
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_SmootherOperator.AdjOp(r,vec1);
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Cheby(fMdagMOp,vec1,vec2); // solves MdagM = g5 M g5M
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psi = psi + vec2;
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// Odd domain residual
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_FineOperator.Op(psi,vec1);// this is the G5 herm bit
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r= src - vec1 ;
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r= where(subset==(Integer)1,r,zz);
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resid = norm2(r) /norm2(src);
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std::cout << "SAP "<<i<<" resid "<<resid<<std::endl;
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// Odd domain solve
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_SmootherOperator.AdjOp(r,vec1);
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Cheby(fMdagMOp,vec1,vec2); // solves MdagM = g5 M g5M
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psi = psi + vec2;
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_FineOperator.Op(psi,vec1);// this is the G5 herm bit
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r= src - vec1 ;
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resid = norm2(r) /norm2(src);
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std::cout << "SAP "<<i<<" resid "<<resid<<std::endl;
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}
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};
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void SmootherTest (const FineField & in){
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FineField vec1(in._grid);
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FineField vec2(in._grid);
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RealD lo[3] = { 0.5, 1.0, 2.0};
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// MdagMLinearOperator<Matrix,FineField> fMdagMOp(_Matrix);
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ShiftedMdagMLinearOperator<Matrix,FineField> fMdagMOp(_Matrix,0.5);
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// MdagMLinearOperator<Matrix,FineField> fMdagMOp(_FineMatrix);
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ShiftedMdagMLinearOperator<Matrix,FineField> fMdagMOp(_SmootherMatrix,0.0);
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RealD Ni,r;
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@ -250,7 +283,7 @@ public:
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for(int ilo=0;ilo<3;ilo++){
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for(int ord=5;ord<50;ord*=2){
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_FineOperator.AdjOp(in,vec1);
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_SmootherOperator.AdjOp(in,vec1);
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Chebyshev<FineField> Cheby (lo[ilo],70.0,ord,InverseApproximation);
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Cheby(fMdagMOp,vec1,vec2); // solves MdagM = g5 M g5M
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@ -264,7 +297,7 @@ public:
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}
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}
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void operator()(const FineField &in, FineField & out) {
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void operatorCheby(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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@ -275,18 +308,18 @@ public:
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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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ShiftedMdagMLinearOperator<Matrix,FineField> fMdagMOp(_Matrix,0.0);
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// MdagMLinearOperator<Matrix,FineField> fMdagMOp(_FineMatrix);
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ShiftedMdagMLinearOperator<Matrix,FineField> fMdagMOp(_SmootherMatrix,0.0);
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FineField vec1(in._grid);
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FineField vec2(in._grid);
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// Chebyshev<FineField> Cheby (0.5,70.0,30,InverseApproximation);
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// Chebyshev<FineField> ChebyAccu(0.5,70.0,30,InverseApproximation);
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Chebyshev<FineField> Cheby (2.0,70.0,10,InverseApproximation);
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Chebyshev<FineField> ChebyAccu(2.0,70.0,10,InverseApproximation);
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Cheby.JacksonSmooth();
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ChebyAccu.JacksonSmooth();
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Chebyshev<FineField> Cheby (2.0,70.0,15,InverseApproximation);
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Chebyshev<FineField> ChebyAccu(2.0,70.0,15,InverseApproximation);
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// Cheby.JacksonSmooth();
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// ChebyAccu.JacksonSmooth();
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_Aggregates.ProjectToSubspace (Csrc,in);
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_Aggregates.PromoteFromSubspace(Csrc,out);
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@ -305,7 +338,7 @@ public:
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RealD Ni = norm2(in);
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_FineOperator.AdjOp(in,vec1);// this is the G5 herm bit
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_SmootherOperator.AdjOp(in,vec1);// this is the G5 herm bit
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ChebyAccu(fMdagMOp,vec1,out); // solves MdagM = g5 M g5M
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std::cout<<GridLogMessage << "Smoother norm "<<norm2(out)<<std::endl;
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@ -334,23 +367,89 @@ public:
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std::cout<<GridLogMessage << "Coarse resid "<<std::sqrt(r/Ni)<<std::endl;
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// Reapply smoother
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_FineOperator.Op(vec1,vec2); // this is the G5 herm bit
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_SmootherOperator.Op(vec1,vec2); // this is the G5 herm bit
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ChebyAccu(fMdagMOp,vec2,vec1); // solves MdagM = g5 M g5M
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out =out+vec1;
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_FineOperator.Op(out,vec1);// this is the G5 herm bit
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vec1 = in - vec1; // tmp = in - A Min
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r=norm2(vec1);
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std::cout<<GridLogMessage << "Smoother resid "<<std::sqrt(r/Ni)<<std::endl;
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}
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void operatorSAP(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-3,100000);
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HermitianLinearOperator<CoarseOperator,CoarseVector> HermOp(_CoarseOperator);
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MdagMLinearOperator<CoarseOperator,CoarseVector> MdagMOp(_CoarseOperator);
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FineField vec1(in._grid);
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FineField vec2(in._grid);
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_Aggregates.ProjectToSubspace (Csrc,in);
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_Aggregates.PromoteFromSubspace(Csrc,out);
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std::cout<<GridLogMessage<<"Completeness: "<<std::sqrt(norm2(out)/norm2(in))<<std::endl;
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// To make a working smoother for indefinite operator
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// must multiply by "Mdag" (ouch loses all low mode content)
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// and apply to poly approx of (mdagm)^-1.
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// so that we end up with an odd polynomial.
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SAP(in,out);
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// Update with residual for out
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_FineOperator.Op(out,vec1);// this is the G5 herm bit
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vec1 = in - vec1; // tmp = in - A Min
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RealD r = norm2(vec1);
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RealD Ni = norm2(in);
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std::cout<<GridLogMessage << "SAP resid "<<std::sqrt(r/Ni)<< " " << r << " " << Ni <<std::endl;
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_Aggregates.ProjectToSubspace (Csrc,vec1);
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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,vec1); // Ass^{-1} [in - A Min]_s
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// Q = Q[in - A Min]
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out = out+vec1;
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// Three preconditioner smoothing -- hermitian if C3 = C1
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// Recompute error
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_FineOperator.Op(out,vec1);// this is the G5 herm bit
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vec1 = in - vec1; // tmp = in - A Min
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r=norm2(vec1);
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std::cout<<GridLogMessage << "Coarse resid "<<std::sqrt(r/Ni)<<std::endl;
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// Reapply smoother
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SAP(vec1,vec2);
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out =out+vec2;
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// Update with residual for out
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_FineOperator.Op(out,vec1);// this is the G5 herm bit
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vec1 = in - vec1; // tmp = in - A Min
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r = norm2(vec1);
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Ni = norm2(in);
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std::cout<<GridLogMessage << "SAP resid(post) "<<std::sqrt(r/Ni)<< " " << r << " " << Ni <<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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XMLReader RD("params.xml");
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read(RD,"params",params);
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std::cout<<"Params: Order "<<params.order<<"["<<params.lo<<","<<params.hi<<"]"<< " steps "<<params.steps<<std::endl;
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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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@ -385,11 +484,27 @@ int main (int argc, char ** argv)
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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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LatticeGaugeField UmuDD(UGrid);
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LatticeColourMatrix U(UGrid);
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LatticeColourMatrix zz(UGrid);
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NerscField header;
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std::string file("./ckpoint_lat.4000");
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NerscIO::readConfiguration(Umu,header,file);
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if ( params.domaindecompose ) {
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Lattice<iScalar<vInteger> > coor(UGrid);
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zz=zero;
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for(int mu=0;mu<Nd;mu++){
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LatticeCoordinate(coor,mu);
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U = PeekIndex<LorentzIndex>(Umu,mu);
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U = where(mod(coor,params.domainsize)==(Integer)0,zz,U);
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PokeIndex<LorentzIndex>(UmuDD,U,mu);
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}
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} else {
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UmuDD = Umu;
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}
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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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@ -402,6 +517,7 @@ int main (int argc, char ** argv)
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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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DomainWallFermionR Ddwf(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5);
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DomainWallFermionR DdwfDD(UmuDD,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5);
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const int nbasis = 32;
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// const int nbasis = 4;
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@ -438,6 +554,7 @@ int main (int argc, char ** argv)
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std::cout<<GridLogMessage << "Building coarse representation of Indef operator" <<std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
Gamma5R5HermitianLinearOperator<DomainWallFermionR,LatticeFermion> HermIndefOp(Ddwf);
|
||||
Gamma5R5HermitianLinearOperator<DomainWallFermionR,LatticeFermion> HermIndefOpDD(DdwfDD);
|
||||
CoarsenedMatrix<vSpinColourVector,vTComplex,nbasis> LDOp(*Coarse5d);
|
||||
LDOp.CoarsenOperator(FGrid,HermIndefOp,Aggregates);
|
||||
|
||||
@ -467,7 +584,13 @@ int main (int argc, char ** argv)
|
||||
std::cout<<GridLogMessage << "Building deflation preconditioner "<< std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
|
||||
MultiGridPreconditioner <vSpinColourVector,vTComplex,nbasis,DomainWallFermionR> Precon(Aggregates, LDOp,HermIndefOp,Ddwf);
|
||||
MultiGridPreconditioner <vSpinColourVector,vTComplex,nbasis,DomainWallFermionR> Precon (Aggregates, LDOp,
|
||||
HermIndefOp,Ddwf,
|
||||
HermIndefOp,Ddwf);
|
||||
|
||||
MultiGridPreconditioner <vSpinColourVector,vTComplex,nbasis,DomainWallFermionR> PreconDD(Aggregates, LDOp,
|
||||
HermIndefOp,Ddwf,
|
||||
HermIndefOpDD,DdwfDD);
|
||||
TrivialPrecon<LatticeFermion> simple;
|
||||
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
@ -475,9 +598,20 @@ int main (int argc, char ** argv)
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
Precon.SmootherTest(src);
|
||||
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << "Testing DD smoother efficacy"<< std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
PreconDD.SmootherTest(src);
|
||||
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << "Testing SAP smoother efficacy"<< std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
PreconDD.SAP(src,result);
|
||||
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << "Unprec CG "<< std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
|
||||
// TrivialPrecon<LatticeFermion> simple;
|
||||
// ConjugateGradient<LatticeFermion> fCG(1.0e-8,100000);
|
||||
// fCG(HermDefOp,src,result);
|
||||
@ -496,12 +630,22 @@ int main (int argc, char ** argv)
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
Precon.PowerMethod(src);
|
||||
|
||||
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << "Building a two level DDPGCR "<< std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
PrecGeneralisedConjugateResidual<LatticeFermion> PGCRDD(1.0e-8,100000,PreconDD,8,128);
|
||||
result=zero;
|
||||
std::cout<<GridLogMessage<<"checking norm src "<<norm2(src)<<std::endl;
|
||||
PGCRDD(HermIndefOp,src,result);
|
||||
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << "Building a two level PGCR "<< std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
PrecGeneralisedConjugateResidual<LatticeFermion> PGCR(1.0e-8,100000,Precon,8,128);
|
||||
std::cout<<GridLogMessage<<"checking norm src "<<norm2(src)<<std::endl;
|
||||
PGCR(HermIndefOp,src,result);
|
||||
// PrecGeneralisedConjugateResidual<LatticeFermion> PGCR(1.0e-8,100000,Precon,8,128);
|
||||
// std::cout<<GridLogMessage<<"checking norm src "<<norm2(src)<<std::endl;
|
||||
// result=zero;
|
||||
// PGCR(HermIndefOp,src,result);
|
||||
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << "Red Black Prec CG "<< std::endl;
|
||||
@ -516,6 +660,7 @@ int main (int argc, char ** argv)
|
||||
|
||||
pCG(HermOpEO,src_o,result_o);
|
||||
|
||||
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
std::cout<<GridLogMessage << "Done "<< std::endl;
|
||||
std::cout<<GridLogMessage << "**************************************************"<< std::endl;
|
||||
|
||||
Loading…
Reference in New Issue
Block a user