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740 lines
27 KiB
C++
740 lines
27 KiB
C++
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/*************************************************************************************
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Grid physics library, www.github.com/paboyle/Grid
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Source file: ./tests/Test_general_coarse_hdcg.cc
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Copyright (C) 2023
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Author: Peter Boyle <pboyle@bnl.gov>
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This program is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License along
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with this program; if not, write to the Free Software Foundation, Inc.,
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51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
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See the full license in the file "LICENSE" in the top level distribution directory
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*************************************************************************************/
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/* END LEGAL */
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#include <Grid/Grid.h>
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#include <Grid/lattice/PaddedCell.h>
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#include <Grid/stencil/GeneralLocalStencil.h>
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//#include <Grid/algorithms/GeneralCoarsenedMatrix.h>
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#include <Grid/algorithms/iterative/AdefGeneric.h>
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#include <Grid/algorithms/iterative/BlockConjugateGradient.h>
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using namespace std;
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using namespace Grid;
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template<class Coarsened>
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void SaveOperator(Coarsened &Operator,std::string file)
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{
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#ifdef HAVE_LIME
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emptyUserRecord record;
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ScidacWriter WR(Operator.Grid()->IsBoss());
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assert(Operator._A.size()==Operator.geom.npoint);
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WR.open(file);
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for(int p=0;p<Operator._A.size();p++){
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auto tmp = Operator.Cell.Extract(Operator._A[p]);
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WR.writeScidacFieldRecord(tmp,record,0,0);
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// WR.writeScidacFieldRecord(tmp,record,0,BINARYIO_LEXICOGRAPHIC);
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}
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WR.close();
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#endif
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}
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template<class Coarsened>
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void LoadOperator(Coarsened &Operator,std::string file)
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{
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#ifdef HAVE_LIME
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emptyUserRecord record;
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Grid::ScidacReader RD ;
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RD.open(file);
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assert(Operator._A.size()==Operator.geom.npoint);
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for(int p=0;p<Operator.geom.npoint;p++){
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conformable(Operator._A[p].Grid(),Operator.CoarseGrid());
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// RD.readScidacFieldRecord(Operator._A[p],record,BINARYIO_LEXICOGRAPHIC);
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RD.readScidacFieldRecord(Operator._A[p],record,0);
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}
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RD.close();
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Operator.ExchangeCoarseLinks();
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#endif
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}
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template<class Coarsened>
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void ReLoadOperator(Coarsened &Operator,std::string file)
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{
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#ifdef HAVE_LIME
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emptyUserRecord record;
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Grid::ScidacReader RD ;
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RD.open(file);
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assert(Operator._A.size()==Operator.geom.npoint);
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for(int p=0;p<Operator.geom.npoint;p++){
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auto tmp=Operator.Cell.Extract(Operator._A[p]);
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RD.readScidacFieldRecord(tmp,record,0);
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Operator._A[p] = Operator.Cell.ExchangePeriodic(tmp);
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}
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RD.close();
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#endif
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}
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template<class aggregation>
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void SaveBasis(aggregation &Agg,std::string file)
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{
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#ifdef HAVE_LIME
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emptyUserRecord record;
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ScidacWriter WR(Agg.FineGrid->IsBoss());
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WR.open(file);
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for(int b=0;b<Agg.subspace.size();b++){
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//WR.writeScidacFieldRecord(Agg.subspace[b],record,0,BINARYIO_LEXICOGRAPHIC);
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WR.writeScidacFieldRecord(Agg.subspace[b],record,0,0);
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}
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WR.close();
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#endif
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}
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template<class aggregation>
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void LoadBasis(aggregation &Agg, std::string file)
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{
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#ifdef HAVE_LIME
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emptyUserRecord record;
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ScidacReader RD ;
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RD.open(file);
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for(int b=0;b<Agg.subspace.size();b++){
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// RD.readScidacFieldRecord(Agg.subspace[b],record,BINARYIO_LEXICOGRAPHIC);
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RD.readScidacFieldRecord(Agg.subspace[b],record,0);
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}
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RD.close();
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#endif
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}
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RealD InverseApproximation(RealD x){
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return 1.0/x;
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}
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// Want Op in CoarsenOp to call MatPcDagMatPc
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template<class Field>
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class HermOpAdaptor : public LinearOperatorBase<Field>
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{
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LinearOperatorBase<Field> & wrapped;
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public:
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HermOpAdaptor(LinearOperatorBase<Field> &wrapme) : wrapped(wrapme) {};
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void Op (const Field &in, Field &out) { wrapped.HermOp(in,out); }
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void HermOp(const Field &in, Field &out) { wrapped.HermOp(in,out); }
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void AdjOp (const Field &in, Field &out){ wrapped.HermOp(in,out); }
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void OpDiag (const Field &in, Field &out) { assert(0); }
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void OpDir (const Field &in, Field &out,int dir,int disp) { assert(0); }
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void OpDirAll (const Field &in, std::vector<Field> &out) { assert(0); };
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void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2){ assert(0); }
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};
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template<class Field> class ChebyshevSmoother : public LinearFunction<Field>
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{
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public:
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using LinearFunction<Field>::operator();
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typedef LinearOperatorBase<Field> FineOperator;
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FineOperator & _SmootherOperator;
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Chebyshev<Field> Cheby;
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ChebyshevSmoother(RealD _lo,RealD _hi,int _ord, FineOperator &SmootherOperator) :
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_SmootherOperator(SmootherOperator),
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Cheby(_lo,_hi,_ord,InverseApproximation)
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{
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std::cout << GridLogMessage<<" Chebyshev smoother order "<<_ord<<" ["<<_lo<<","<<_hi<<"]"<<std::endl;
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};
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void operator() (const Field &in, Field &out)
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{
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Field tmp(in.Grid());
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tmp = in;
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Cheby(_SmootherOperator,tmp,out);
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}
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};
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template<class Field> class CGSmoother : public LinearFunction<Field>
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{
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public:
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using LinearFunction<Field>::operator();
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typedef LinearOperatorBase<Field> FineOperator;
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FineOperator & _SmootherOperator;
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int iters;
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CGSmoother(int _iters, FineOperator &SmootherOperator) :
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_SmootherOperator(SmootherOperator),
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iters(_iters)
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{
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std::cout << GridLogMessage<<" Mirs smoother order "<<iters<<std::endl;
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};
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void operator() (const Field &in, Field &out)
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{
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ConjugateGradient<Field> CG(0.0,iters,false); // non-converge is just fine in a smoother
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CG(_SmootherOperator,in,out);
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}
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};
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gridblasHandle_t GridBLAS::gridblasHandle;
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int GridBLAS::gridblasInit;
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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=24;
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// const int nbasis = 62;
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// const int nbasis = 56;
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const int nbasis = 36;
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const int cb = 0 ;
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RealD mass=0.00078;
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RealD M5=1.8;
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RealD b=1.5;
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RealD c=0.5;
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GridCartesian * UGrid = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(),
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GridDefaultSimd(Nd,vComplex::Nsimd()),
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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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// Construct a coarsened grid with 4^4 cell
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Coordinate Block({4,4,6,4});
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Coordinate clatt = GridDefaultLatt();
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for(int d=0;d<clatt.size();d++){
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clatt[d] = clatt[d]/Block[d];
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}
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GridCartesian *Coarse4d = SpaceTimeGrid::makeFourDimGrid(clatt,
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GridDefaultSimd(Nd,vComplex::Nsimd()),
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GridDefaultMpi());;
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GridCartesian *Coarse5d = SpaceTimeGrid::makeFiveDimGrid(1,Coarse4d);
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///////////////////////// RNGs /////////////////////////////////
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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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///////////////////////// Configuration /////////////////////////////////
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LatticeGaugeField Umu(UGrid);
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MemoryManager::Print();
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FieldMetaData header;
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std::string file("ckpoint_lat.1000");
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NerscIO::readConfiguration(Umu,header,file);
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MemoryManager::Print();
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//////////////////////// Fermion action //////////////////////////////////
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MobiusFermionD Ddwf(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5,b,c);
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SchurDiagMooeeOperator<MobiusFermionD, LatticeFermion> HermOpEO(Ddwf);
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typedef HermOpAdaptor<LatticeFermionD> HermFineMatrix;
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HermFineMatrix FineHermOp(HermOpEO);
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LatticeFermion result(FrbGrid); result=Zero();
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LatticeFermion src(FrbGrid); random(RNG5,src);
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// Run power method on FineHermOp
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PowerMethod<LatticeFermion> PM; PM(HermOpEO,src);
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////////////////////////////////////////////////////////////
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///////////// Coarse basis and Little Dirac Operator ///////
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////////////////////////////////////////////////////////////
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typedef GeneralCoarsenedMatrix<vSpinColourVector,vTComplex,nbasis> LittleDiracOperator;
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typedef LittleDiracOperator::CoarseVector CoarseVector;
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NextToNextToNextToNearestStencilGeometry5D geom(Coarse5d);
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NearestStencilGeometry5D geom_nn(Coarse5d);
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// Warning: This routine calls PVdagM.Op, not PVdagM.HermOp
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typedef Aggregation<vSpinColourVector,vTComplex,nbasis> Subspace;
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Subspace Aggregates(Coarse5d,FrbGrid,cb);
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////////////////////////////////////////////////////////////
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// Need to check about red-black grid coarsening
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////////////////////////////////////////////////////////////
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LittleDiracOperator LittleDiracOp(geom,FrbGrid,Coarse5d);
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std::string subspace_file("/lustre/orion/phy157/proj-shared/phy157_dwf/paboyle/Subspace.phys48.rat.scidac.62");
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std::string refine_file("/lustre/orion/phy157/proj-shared/phy157_dwf/paboyle/Refine.phys48.rat.scidac.62");
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std::string ldop_file("/lustre/orion/phy157/proj-shared/phy157_dwf/paboyle/LittleDiracOp.phys48.rat.scidac.62");
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bool load_agg=true;
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bool load_refine=true;
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bool load_mat=false;
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MemoryManager::Print();
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if ( load_agg ) {
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LoadBasis(Aggregates,subspace_file);
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} else {
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// NBASIS=40
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// Best so far: ord 2000 [0.01,95], 500,500 -- 466 iters
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// slurm-398626.out:Grid : Message : 141.295253 s : 500 filt [1] <n|MdagM|n> 0.000103622063
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//Grid : Message : 33.870465 s : Chebyshev subspace pass-1 : ord 2000 [0.001,95]
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//Grid : Message : 33.870485 s : Chebyshev subspace pass-2 : nbasis40 min 1000 step 1000 lo0
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//slurm-1482200.out : filt ~ 0.004 -- not as low mode projecting -- took 626 iters
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// To try: 2000 [0.1,95] ,2000,500,500 -- slurm-1482213.out 586 iterations
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// To try: 2000 [0.01,95] ,2000,500,500 -- 469 (think I bumped 92 to 95) (??)
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// To try: 2000 [0.025,95],2000,500,500
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// To try: 2000 [0.005,95],2000,500,500
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// NBASIS=44 -- HDCG paper was 64 vectors; AMD compiler craps out at 48
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// To try: 2000 [0.01,95] ,2000,500,500 -- 419 lowest slurm-1482355.out
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// To try: 2000 [0.025,95] ,2000,500,500 -- 487
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// To try: 2000 [0.005,95] ,2000,500,500
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/*
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Smoother [3,92] order 16
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slurm-1482355.out:Grid : Message : 35.239686 s : Chebyshev subspace pass-1 : ord 2000 [0.01,95]
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slurm-1482355.out:Grid : Message : 35.239714 s : Chebyshev subspace pass-2 : nbasis44 min 500 step 500 lo0
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slurm-1482355.out:Grid : Message : 5561.305552 s : HDCG: Pcg converged in 419 iterations and 2616.202598 s
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slurm-1482367.out:Grid : Message : 43.157235 s : Chebyshev subspace pass-1 : ord 2000 [0.025,95]
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slurm-1482367.out:Grid : Message : 43.157257 s : Chebyshev subspace pass-2 : nbasis44 min 500 step 500 lo0
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slurm-1482367.out:Grid : Message : 6169.469330 s : HDCG: Pcg converged in 487 iterations and 3131.185821 s
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*/
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/*
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Aggregates.CreateSubspaceChebyshev(RNG5,HermOpEO,nbasis,
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95.0,0.0075,
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2500,
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500,
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500,
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0.0);
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*/
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/*
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Aggregates.CreateSubspaceChebyshevPowerLaw(RNG5,HermOpEO,nbasis,
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95.0,
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2000);
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*/
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Aggregates.CreateSubspaceMultishift(RNG5,HermOpEO,
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0.0003,1.0e-5,2000); // Lo, tol, maxit
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/*
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Aggregates.CreateSubspaceChebyshev(RNG5,HermOpEO,nbasis,
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95.0,0.05,
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2000,
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500,
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500,
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0.0);
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*/
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/*
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Aggregates.CreateSubspaceChebyshev(RNG5,HermOpEO,nbasis,
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95.0,0.01,
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2000,
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500,
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500,
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0.0);
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*/
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// Aggregates.CreateSubspaceChebyshev(RNG5,HermOpEO,nbasis,95.,0.01,1500); -- running slurm-1484934.out nbasis 56
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// Aggregates.CreateSubspaceChebyshev(RNG5,HermOpEO,nbasis,95.,0.01,1500); <== last run
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SaveBasis(Aggregates,subspace_file);
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}
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MemoryManager::Print();
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int refine=1;
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if(refine){
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if ( load_refine ) {
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LoadBasis(Aggregates,refine_file);
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} else {
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// HDCG used Pcg to refine
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Aggregates.RefineSubspace(HermOpEO,0.001,1.0e-3,3000);
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SaveBasis(Aggregates,refine_file);
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}
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}
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MemoryManager::Print();
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Aggregates.Orthogonalise();
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if ( load_mat ) {
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LoadOperator(LittleDiracOp,ldop_file);
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} else {
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LittleDiracOp.CoarsenOperator(FineHermOp,Aggregates);
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SaveOperator(LittleDiracOp,ldop_file);
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}
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// I/O test:
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CoarseVector c_src(Coarse5d); random(CRNG,c_src);
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CoarseVector c_res(Coarse5d);
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CoarseVector c_ref(Coarse5d);
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// Try projecting to one hop only
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// LittleDiracOp.ShiftMatrix(1.0e-4);
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LittleDiracOperator LittleDiracOpProj(geom_nn,FrbGrid,Coarse5d);
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LittleDiracOpProj.ProjectNearestNeighbour(0.01,LittleDiracOp); // smaller shift 0.02? n
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typedef HermitianLinearOperator<LittleDiracOperator,CoarseVector> HermMatrix;
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HermMatrix CoarseOp (LittleDiracOp);
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HermMatrix CoarseOpProj (LittleDiracOpProj);
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MemoryManager::Print();
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//////////////////////////////////////////
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// Build a coarse lanczos
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//////////////////////////////////////////
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// Chebyshev<CoarseVector> IRLCheby(0.012,40.0,201); //500 HDCG iters
|
||
|
// int Nk=512; // Didn't save much
|
||
|
// int Nm=640;
|
||
|
// int Nstop=400;
|
||
|
|
||
|
// Chebyshev<CoarseVector> IRLCheby(0.005,40.0,201); //319 HDCG iters @ 128//160 nk.
|
||
|
// int Nk=128;
|
||
|
// int Nm=160;
|
||
|
|
||
|
// Chebyshev<CoarseVector> IRLCheby(0.005,40.0,201); //319 HDCG iters @ 128//160 nk.
|
||
|
Chebyshev<CoarseVector> IRLCheby(0.04,40.0,201); //319 HDCG iters @ 128//160 nk.
|
||
|
int Nk=192;
|
||
|
int Nm=256;
|
||
|
int Nstop=Nk;
|
||
|
|
||
|
// Chebyshev<CoarseVector> IRLCheby(0.010,45.0,201); // 1 iter
|
||
|
FunctionHermOp<CoarseVector> IRLOpCheby(IRLCheby,CoarseOp);
|
||
|
PlainHermOp<CoarseVector> IRLOp (CoarseOp);
|
||
|
|
||
|
ImplicitlyRestartedLanczos<CoarseVector> IRL(IRLOpCheby,IRLOp,Nstop,Nk,Nm,1e-5,10);
|
||
|
|
||
|
int Nconv;
|
||
|
std::vector<RealD> eval(Nm);
|
||
|
std::vector<CoarseVector> evec(Nm,Coarse5d);
|
||
|
|
||
|
PowerMethod<CoarseVector> cPM; cPM(CoarseOp,c_src);
|
||
|
|
||
|
IRL.calc(eval,evec,c_src,Nconv);
|
||
|
DeflatedGuesser<CoarseVector> DeflCoarseGuesser(evec,eval);
|
||
|
|
||
|
//////////////////////////////////////////
|
||
|
// Build a coarse space solver
|
||
|
//////////////////////////////////////////
|
||
|
int maxit=30000;
|
||
|
ConjugateGradient<CoarseVector> CG(1.0e-8,maxit,false);
|
||
|
ConjugateGradient<LatticeFermionD> CGfine(1.0e-8,30000,false);
|
||
|
ZeroGuesser<CoarseVector> CoarseZeroGuesser;
|
||
|
|
||
|
|
||
|
// HPDSolver<CoarseVector> HPDSolve(CoarseOp,CG,CoarseZeroGuesser);
|
||
|
HPDSolver<CoarseVector> HPDSolve(CoarseOp,CG,DeflCoarseGuesser);
|
||
|
c_res=Zero();
|
||
|
// HPDSolve(c_src,c_res); c_ref = c_res;
|
||
|
// std::cout << GridLogMessage<<"src norm "<<norm2(c_src)<<std::endl;
|
||
|
// std::cout << GridLogMessage<<"ref norm "<<norm2(c_ref)<<std::endl;
|
||
|
//////////////////////////////////////////////////////////////////////////
|
||
|
// Deflated (with real op EV's) solve for the projected coarse op
|
||
|
// Work towards ADEF1 in the coarse space
|
||
|
//////////////////////////////////////////////////////////////////////////
|
||
|
HPDSolver<CoarseVector> HPDSolveProj(CoarseOpProj,CG,DeflCoarseGuesser);
|
||
|
c_res=Zero();
|
||
|
// HPDSolveProj(c_src,c_res);
|
||
|
// std::cout << GridLogMessage<<"src norm "<<norm2(c_src)<<std::endl;
|
||
|
// std::cout << GridLogMessage<<"res norm "<<norm2(c_res)<<std::endl;
|
||
|
// c_res = c_res - c_ref;
|
||
|
// std::cout << "Projected solver error "<<norm2(c_res)<<std::endl;
|
||
|
|
||
|
//////////////////////////////////////////////////////////////////////
|
||
|
// Coarse ADEF1 with deflation space
|
||
|
//////////////////////////////////////////////////////////////////////
|
||
|
ChebyshevSmoother<CoarseVector > CoarseSmoother(1.0,37.,8,CoarseOpProj); // just go to sloppy 0.1 convergence
|
||
|
// CoarseSmoother(0.1,37.,8,CoarseOpProj); //
|
||
|
// CoarseSmoother(0.5,37.,6,CoarseOpProj); // 8 iter 0.36s
|
||
|
// CoarseSmoother(0.5,37.,12,CoarseOpProj); // 8 iter, 0.55s
|
||
|
// CoarseSmoother(0.5,37.,8,CoarseOpProj);// 7-9 iter
|
||
|
// CoarseSmoother(1.0,37.,8,CoarseOpProj); // 0.4 - 0.5s solve to 0.04, 7-9 iter
|
||
|
// ChebyshevSmoother<CoarseVector,HermMatrix > CoarseSmoother(0.5,36.,10,CoarseOpProj); // 311
|
||
|
|
||
|
////////////////////////////////////////////////////////
|
||
|
// CG, Cheby mode spacing 200,200
|
||
|
// Unprojected Coarse CG solve to 1e-8 : 190 iters, 4.9s
|
||
|
// Unprojected Coarse CG solve to 4e-2 : 33 iters, 0.8s
|
||
|
// Projected Coarse CG solve to 1e-8 : 100 iters, 0.36s
|
||
|
////////////////////////////////////////////////////////
|
||
|
// CoarseSmoother(1.0,48.,8,CoarseOpProj); 48 evecs
|
||
|
////////////////////////////////////////////////////////
|
||
|
// ADEF1 Coarse solve to 1e-8 : 44 iters, 2.34s 2.1x gain
|
||
|
// ADEF1 Coarse solve to 4e-2 : 7 iters, 0.4s
|
||
|
// HDCG 38 iters 162s
|
||
|
//
|
||
|
// CoarseSmoother(1.0,40.,8,CoarseOpProj); 48 evecs
|
||
|
// ADEF1 Coarse solve to 1e-8 : 37 iters, 2.0s 2.1x gain
|
||
|
// ADEF1 Coarse solve to 4e-2 : 6 iters, 0.36s
|
||
|
// HDCG 38 iters 169s
|
||
|
|
||
|
/*
|
||
|
TwoLevelADEF1defl<CoarseVector>
|
||
|
cADEF1(1.0e-8, 500,
|
||
|
CoarseOp,
|
||
|
CoarseSmoother,
|
||
|
evec,eval);
|
||
|
*/
|
||
|
// c_res=Zero();
|
||
|
// cADEF1(c_src,c_res);
|
||
|
// std::cout << GridLogMessage<<"src norm "<<norm2(c_src)<<std::endl;
|
||
|
// std::cout << GridLogMessage<<"cADEF1 res norm "<<norm2(c_res)<<std::endl;
|
||
|
// c_res = c_res - c_ref;
|
||
|
// std::cout << "cADEF1 solver error "<<norm2(c_res)<<std::endl;
|
||
|
|
||
|
// cADEF1.Tolerance = 4.0e-2;
|
||
|
// cADEF1.Tolerance = 1.0e-1;
|
||
|
// cADEF1.Tolerance = 5.0e-2;
|
||
|
// c_res=Zero();
|
||
|
// cADEF1(c_src,c_res);
|
||
|
// std::cout << GridLogMessage<<"src norm "<<norm2(c_src)<<std::endl;
|
||
|
// std::cout << GridLogMessage<<"cADEF1 res norm "<<norm2(c_res)<<std::endl;
|
||
|
// c_res = c_res - c_ref;
|
||
|
// std::cout << "cADEF1 solver error "<<norm2(c_res)<<std::endl;
|
||
|
|
||
|
//////////////////////////////////////////
|
||
|
// Build a smoother
|
||
|
//////////////////////////////////////////
|
||
|
// ChebyshevSmoother<LatticeFermionD,HermFineMatrix > Smoother(10.0,100.0,10,FineHermOp); //499
|
||
|
// ChebyshevSmoother<LatticeFermionD,HermFineMatrix > Smoother(3.0,100.0,10,FineHermOp); //383
|
||
|
// ChebyshevSmoother<LatticeFermionD,HermFineMatrix > Smoother(1.0,100.0,10,FineHermOp); //328
|
||
|
// std::vector<RealD> los({0.5,1.0,3.0}); // 147/142/146 nbasis 1
|
||
|
// std::vector<RealD> los({1.0,2.0}); // Nbasis 24: 88,86 iterations
|
||
|
// std::vector<RealD> los({2.0,4.0}); // Nbasis 32 == 52, iters
|
||
|
// std::vector<RealD> los({2.0,4.0}); // Nbasis 40 == 36,36 iters
|
||
|
|
||
|
//
|
||
|
// Turns approx 2700 iterations into 340 fine multiplies with Nbasis 40
|
||
|
// Need to measure cost of coarse space.
|
||
|
//
|
||
|
// -- i) Reduce coarse residual -- 0.04
|
||
|
// -- ii) Lanczos on coarse space -- done
|
||
|
// -- iii) Possible 1 hop project and/or preconditioning it - easy - PrecCG it and
|
||
|
// use a limited stencil. Reread BFM code to check on evecs / deflation strategy with prec
|
||
|
//
|
||
|
//
|
||
|
//
|
||
|
//
|
||
|
|
||
|
MemoryManager::Print();
|
||
|
//////////////////////////////////////
|
||
|
// mrhs coarse solve
|
||
|
// Create a higher dim coarse grid
|
||
|
//////////////////////////////////////////////////////////////////////////////////////
|
||
|
ConjugateGradient<CoarseVector> coarseCG(2.0e-2,20000,true);
|
||
|
|
||
|
const int nrhs=vComplex::Nsimd();
|
||
|
|
||
|
Coordinate mpi=GridDefaultMpi();
|
||
|
Coordinate rhMpi ({1,1,mpi[0],mpi[1],mpi[2],mpi[3]});
|
||
|
Coordinate rhLatt({nrhs,1,clatt[0],clatt[1],clatt[2],clatt[3]});
|
||
|
Coordinate rhSimd({vComplex::Nsimd(),1, 1,1,1,1});
|
||
|
|
||
|
GridCartesian *CoarseMrhs = new GridCartesian(rhLatt,rhSimd,rhMpi);
|
||
|
MultiGeneralCoarsenedMatrix mrhs(LittleDiracOp,CoarseMrhs);
|
||
|
typedef decltype(mrhs) MultiGeneralCoarsenedMatrix_t;
|
||
|
typedef HermitianLinearOperator<MultiGeneralCoarsenedMatrix_t,CoarseVector> MrhsHermMatrix;
|
||
|
MrhsHermMatrix MrhsCoarseOp (mrhs);
|
||
|
MemoryManager::Print();
|
||
|
|
||
|
{
|
||
|
CoarseVector rh_res(CoarseMrhs);
|
||
|
CoarseVector rh_guess(CoarseMrhs);
|
||
|
CoarseVector rh_src(CoarseMrhs);
|
||
|
|
||
|
rh_res= Zero();
|
||
|
rh_guess= Zero();
|
||
|
for(int r=0;r<nrhs;r++){
|
||
|
random(CRNG,c_src);
|
||
|
DeflCoarseGuesser(c_src,c_res);
|
||
|
InsertSlice(c_res,rh_res,r,0);
|
||
|
InsertSlice(c_res,rh_guess,r,0);
|
||
|
InsertSlice(c_src,rh_src,r,0);
|
||
|
}
|
||
|
|
||
|
MemoryManager::Print();
|
||
|
coarseCG(MrhsCoarseOp,rh_src,rh_res);
|
||
|
MemoryManager::Print();
|
||
|
//redo with block CG
|
||
|
|
||
|
for(int r=0;r<nrhs;r++){
|
||
|
std::cout << " compare to single RHS "<<r<<"/"<<nrhs<<std::endl;
|
||
|
ExtractSlice(c_src,rh_src,r,0);
|
||
|
ExtractSlice(c_res,rh_res,r,0);
|
||
|
ExtractSlice(c_ref,rh_guess,r,0);
|
||
|
coarseCG(CoarseOp,c_src,c_ref);
|
||
|
std::cout << " mrhs [" <<r <<"] "<< norm2(c_res)<<std::endl;
|
||
|
std::cout << " srhs [" <<r <<"] "<< norm2(c_ref)<<std::endl;
|
||
|
c_ref=c_ref-c_res;
|
||
|
RealD diff =norm2(c_ref)/norm2(c_src);
|
||
|
std::cout << r << " diff " << diff<<std::endl;
|
||
|
assert(diff < 1.0e-1);
|
||
|
}
|
||
|
}
|
||
|
MemoryManager::Print();
|
||
|
//////////////////////////////////////
|
||
|
// fine solve
|
||
|
//////////////////////////////////////
|
||
|
|
||
|
|
||
|
// std::vector<RealD> los({2.0,2.5}); // Nbasis 40 == 36,36 iters
|
||
|
std::vector<RealD> los({2.0}); // Nbasis 40 == 36,36 iters
|
||
|
|
||
|
// std::vector<int> ords({7,8,10}); // Nbasis 40 == 40,38,36 iters (320,342,396 mults)
|
||
|
// std::vector<int> ords({7}); // Nbasis 40 == 40 iters (320 mults)
|
||
|
std::vector<int> ords({9}); // Nbasis 40 == 40 iters (320 mults)
|
||
|
|
||
|
/*
|
||
|
Smoother opt @56 nbasis, 0.04 convergence, 192 evs
|
||
|
ord lo
|
||
|
|
||
|
16 0.1 no converge -- likely sign indefinite
|
||
|
32 0.1 no converge -- likely sign indefinite(?)
|
||
|
|
||
|
16 0.5 422
|
||
|
32 0.5 302
|
||
|
|
||
|
8 1.0 575
|
||
|
12 1.0 449
|
||
|
16 1.0 375
|
||
|
32 1.0 302
|
||
|
|
||
|
12 3.0 476
|
||
|
16 3.0 319
|
||
|
32 3.0 306
|
||
|
|
||
|
Powerlaw setup 62 vecs
|
||
|
slurm-1494943.out:Grid : Message : 4874.186617 s : HDCG: Pcg converged in 171 iterations and 1706.548006 s 1.0 32
|
||
|
slurm-1494943.out:Grid : Message : 6490.121648 s : HDCG: Pcg converged in 194 iterations and 1616.219654 s 1.0 16
|
||
|
|
||
|
Cheby setup: 56vecs
|
||
|
-- CG smoother O(16): 487
|
||
|
|
||
|
Power law setup, 56 vecs -- lambda^-5
|
||
|
slurm-1494383.out:Grid : Message : 4377.173265 s : HDCG: Pcg converged in 204 iterations and 1153.548935 s 1.0 32
|
||
|
|
||
|
Power law setup, 56 vecs -- lambda^-3
|
||
|
|
||
|
slurm-1494242.out:Grid : Message : 4370.464814 s : HDCG: Pcg converged in 204 iterations and 1143.494776 s 1.0 32
|
||
|
slurm-1494242.out:Grid : Message : 5432.414820 s : HDCG: Pcg converged in 237 iterations and 1061.455882 s 1.0 16
|
||
|
slurm-1494242.out:Grid : Message : 6588.727977 s : HDCG: Pcg converged in 205 iterations and 1156.565210 s 0.5 32
|
||
|
|
||
|
Power law setup, 56 vecs -- lambda^-4
|
||
|
-- CG smoother O(16): 290
|
||
|
-- Cheby smoother O(16): 218 -- getting close to the deflation level I expect 169 from BFM paper @O(7) smoother and 64 nbasis
|
||
|
|
||
|
Grid : Message : 2790.797194 s : HDCG: Pcg converged in 190 iterations and 1049.563182 s 1.0 32
|
||
|
Grid : Message : 3766.374396 s : HDCG: Pcg converged in 218 iterations and 975.455668 s 1.0 16
|
||
|
Grid : Message : 4888.746190 s : HDCG: Pcg converged in 191 iterations and 1122.252055 s 0.5 32
|
||
|
Grid : Message : 5956.679661 s : HDCG: Pcg converged in 231 iterations and 1067.812850 s 0.5 16
|
||
|
|
||
|
Grid : Message : 2767.405829 s : HDCG: Pcg converged in 218 iterations and 967.214067 s -- 16
|
||
|
Grid : Message : 3816.165905 s : HDCG: Pcg converged in 251 iterations and 1048.636269 s -- 12
|
||
|
Grid : Message : 5121.206572 s : HDCG: Pcg converged in 318 iterations and 1304.916168 s -- 8
|
||
|
|
||
|
|
||
|
[paboyle@login2.crusher debug]$ grep -v Memory slurm-402426.out | grep converged | grep HDCG -- [1.0,16] cheby
|
||
|
Grid : Message : 5185.521063 s : HDCG: Pcg converged in 377 iterations and 1595.843529 s
|
||
|
|
||
|
[paboyle@login2.crusher debug]$ grep HDCG slurm-402184.out | grep onver
|
||
|
Grid : Message : 3760.438160 s : HDCG: Pcg converged in 422 iterations and 2129.243141 s
|
||
|
Grid : Message : 5660.588015 s : HDCG: Pcg converged in 308 iterations and 1900.026821 s
|
||
|
|
||
|
|
||
|
Grid : Message : 4238.206528 s : HDCG: Pcg converged in 575 iterations and 2657.430676 s
|
||
|
Grid : Message : 6345.880344 s : HDCG: Pcg converged in 449 iterations and 2108.505208 s
|
||
|
|
||
|
grep onverg slurm-401663.out | grep HDCG
|
||
|
Grid : Message : 3900.817781 s : HDCG: Pcg converged in 476 iterations and 1992.591311 s
|
||
|
Grid : Message : 5647.202699 s : HDCG: Pcg converged in 306 iterations and 1746.838660 s
|
||
|
|
||
|
|
||
|
[paboyle@login2.crusher debug]$ grep converged slurm-401775.out | grep HDCG
|
||
|
Grid : Message : 3583.177025 s : HDCG: Pcg converged in 375 iterations and 1800.896037 s
|
||
|
Grid : Message : 5348.342243 s : HDCG: Pcg converged in 302 iterations and 1765.045018 s
|
||
|
|
||
|
Conclusion: higher order smoother is doing better. Much better. Use a Krylov smoother instead Mirs as in BFM version.
|
||
|
|
||
|
*/
|
||
|
//
|
||
|
MemoryManager::Print();
|
||
|
for(int l=0;l<los.size();l++){
|
||
|
|
||
|
RealD lo = los[l];
|
||
|
|
||
|
for(int o=0;o<ords.size();o++){
|
||
|
|
||
|
ConjugateGradient<CoarseVector> CGsloppy(4.0e-2,maxit,false);
|
||
|
HPDSolver<CoarseVector> HPDSolveSloppy(CoarseOp,CGsloppy,DeflCoarseGuesser);
|
||
|
|
||
|
// ChebyshevSmoother<LatticeFermionD,HermFineMatrix > Smoother(lo,92,10,FineHermOp); // 36 best case
|
||
|
ChebyshevSmoother<LatticeFermionD > ChebySmooth(lo,95,ords[o],FineHermOp); // 311
|
||
|
|
||
|
/*
|
||
|
* CG smooth 11 iter:
|
||
|
slurm-403825.out:Grid : Message : 4369.824339 s : HDCG: fPcg converged in 215 iterations 3.0
|
||
|
slurm-403908.out:Grid : Message : 3955.897470 s : HDCG: fPcg converged in 236 iterations 1.0
|
||
|
slurm-404273.out:Grid : Message : 3843.792191 s : HDCG: fPcg converged in 210 iterations 2.0
|
||
|
* CG smooth 9 iter:
|
||
|
*/
|
||
|
//
|
||
|
RealD MirsShift = lo;
|
||
|
ShiftedHermOpLinearOperator<LatticeFermionD> ShiftedFineHermOp(HermOpEO,MirsShift);
|
||
|
CGSmoother<LatticeFermionD> CGsmooth(ords[o],ShiftedFineHermOp) ;
|
||
|
|
||
|
//////////////////////////////////////////
|
||
|
// Build a HDCG solver
|
||
|
//////////////////////////////////////////
|
||
|
/* TwoLevelADEF2<LatticeFermion,CoarseVector,Subspace>
|
||
|
HDCG(1.0e-8, 700,
|
||
|
FineHermOp,
|
||
|
CGsmooth,
|
||
|
HPDSolveSloppy,
|
||
|
HPDSolve,
|
||
|
Aggregates);
|
||
|
result=Zero();
|
||
|
*/
|
||
|
// std::cout << "Calling HDCG"<<std::endl;
|
||
|
// HDCG(src,result);
|
||
|
|
||
|
//////////////////////////////////////////
|
||
|
// Build a HDCG mrhs solver
|
||
|
//////////////////////////////////////////
|
||
|
MemoryManager::Print();
|
||
|
DoNothingGuesser<CoarseVector> DoNothing;
|
||
|
HPDSolver<CoarseVector> HPDSolveMrhs(MrhsCoarseOp,coarseCG,DoNothing);
|
||
|
TwoLevelADEF2mrhs<LatticeFermion,CoarseVector,Subspace>
|
||
|
HDCGmrhs(1.0e-8, 700,
|
||
|
FineHermOp,
|
||
|
CGsmooth,
|
||
|
HPDSolveSloppy, // Never used
|
||
|
HPDSolve, // Used in Vstart
|
||
|
HPDSolveMrhs, // Used in M1
|
||
|
DeflCoarseGuesser, // single RHS guess used in M1
|
||
|
CoarseMrhs, // Grid needed to Mrhs grid
|
||
|
Aggregates);
|
||
|
|
||
|
MemoryManager::Print();
|
||
|
std::cout << "Calling mRHS HDCG"<<std::endl;
|
||
|
FrbGrid->Barrier();
|
||
|
|
||
|
MemoryManager::Print();
|
||
|
std::vector<LatticeFermionD> src_mrhs(nrhs,FrbGrid);
|
||
|
std::vector<LatticeFermionD> res_mrhs(nrhs,FrbGrid);
|
||
|
MemoryManager::Print();
|
||
|
for(int r=0;r<nrhs;r++){
|
||
|
random(RNG5,src_mrhs[r]);
|
||
|
res_mrhs[r]=Zero();
|
||
|
std::cout << "Setup mrhs source "<<r<<std::endl;
|
||
|
}
|
||
|
std::cout << "Calling the mRHS HDCG"<<std::endl;
|
||
|
MemoryManager::Print();
|
||
|
HDCGmrhs(src_mrhs,res_mrhs);
|
||
|
MemoryManager::Print();
|
||
|
|
||
|
}
|
||
|
}
|
||
|
|
||
|
// Standard CG
|
||
|
result=Zero();
|
||
|
CGfine(HermOpEO, src, result);
|
||
|
|
||
|
Grid_finalize();
|
||
|
return 0;
|
||
|
}
|