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445 lines
15 KiB
C++
445 lines
15 KiB
C++
/*************************************************************************************
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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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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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/*
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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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*/
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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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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 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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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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//////////////////////// 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=true;
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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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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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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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//////////////////////////////////////////
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// Build a coarse lanczos
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//////////////////////////////////////////
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typedef HermitianLinearOperator<LittleDiracOperator,CoarseVector> HermMatrix;
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HermMatrix CoarseOp (LittleDiracOp);
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int Nk=192;
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int Nm=256;
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int Nstop=Nk;
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Chebyshev<CoarseVector> IRLCheby(0.005,40.0,201);
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// Chebyshev<CoarseVector> IRLCheby(0.010,45.0,201); // 1 iter
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FunctionHermOp<CoarseVector> IRLOpCheby(IRLCheby,CoarseOp);
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PlainHermOp<CoarseVector> IRLOp (CoarseOp);
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ImplicitlyRestartedLanczos<CoarseVector> IRL(IRLOpCheby,IRLOp,Nstop,Nk,Nm,1e-5,10);
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int Nconv;
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std::vector<RealD> eval(Nm);
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std::vector<CoarseVector> evec(Nm,Coarse5d);
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PowerMethod<CoarseVector> cPM; cPM(CoarseOp,c_src);
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IRL.calc(eval,evec,c_src,Nconv);
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//////////////////////////////////////////
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// Deflated guesser
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//////////////////////////////////////////
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DeflatedGuesser<CoarseVector> DeflCoarseGuesser(evec,eval);
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int maxit=30000;
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ConjugateGradient<CoarseVector> CG(1.0e-10,maxit,false);
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ConjugateGradient<LatticeFermionD> CGfine(1.0e-8,30000,false);
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//////////////////////////////////////////
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// HDCG
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//////////////////////////////////////////
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std::vector<RealD> los({2.0,2.5}); // Nbasis 40 == 36,36 iters
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std::vector<int> ords({9}); // Nbasis 40 == 40 iters (320 mults)
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for(int l=0;l<los.size();l++){
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RealD lo = los[l];
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for(int o=0;o<ords.size();o++){
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//////////////////////////////////////////
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// Sloppy coarse solve
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//////////////////////////////////////////
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ConjugateGradient<CoarseVector> CGsloppy(4.0e-2,maxit,false);
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HPDSolver<CoarseVector> HPDSolveSloppy(CoarseOp,CGsloppy,DeflCoarseGuesser);
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HPDSolver<CoarseVector> HPDSolve(CoarseOp,CG,DeflCoarseGuesser);
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//////////////////////////////////////////
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// IRS shifted smoother based on CG
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//////////////////////////////////////////
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RealD MirsShift = lo;
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ShiftedHermOpLinearOperator<LatticeFermionD> ShiftedFineHermOp(HermOpEO,MirsShift);
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CGSmoother<LatticeFermionD> CGsmooth(ords[o],ShiftedFineHermOp) ;
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//////////////////////////////////////////
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// Build a HDCG solver
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//////////////////////////////////////////
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TwoLevelADEF2<LatticeFermion,CoarseVector,Subspace>
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HDCG(1.0e-8, 700,
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FineHermOp,
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CGsmooth,
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HPDSolveSloppy,
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HPDSolve,
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Aggregates);
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result=Zero();
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HDCG(src,result);
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}
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}
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// Standard CG
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result=Zero();
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CGfine(HermOpEO, src, result);
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Grid_finalize();
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return 0;
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}
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