From ec25604a67f57eea4b0b840689dfa457cd147bb2 Mon Sep 17 00:00:00 2001
From: Peter Boyle <paboyle@ph.ed.ac.uk>
Date: Tue, 27 Aug 2024 11:32:34 -0400
Subject: [PATCH] Fastest solver for mrhs multigrid

---
 ...Test_general_coarse_hdcg_phys48_lanczos.cc | 761 ++++++++++++++++++
 1 file changed, 761 insertions(+)
 create mode 100644 tests/debug/Test_general_coarse_hdcg_phys48_lanczos.cc

diff --git a/tests/debug/Test_general_coarse_hdcg_phys48_lanczos.cc b/tests/debug/Test_general_coarse_hdcg_phys48_lanczos.cc
new file mode 100644
index 00000000..240c2d6b
--- /dev/null
+++ b/tests/debug/Test_general_coarse_hdcg_phys48_lanczos.cc
@@ -0,0 +1,761 @@
+/*************************************************************************************
+
+    Grid physics library, www.github.com/paboyle/Grid 
+
+    Source file: ./tests/Test_general_coarse_hdcg.cc
+
+    Copyright (C) 2023
+
+Author: Peter Boyle <pboyle@bnl.gov>
+
+    This program is free software; you can redistribute it and/or modify
+    it under the terms of the GNU General Public License as published by
+    the Free Software Foundation; either version 2 of the License, or
+    (at your option) any later version.
+
+    This program is distributed in the hope that it will be useful,
+    but WITHOUT ANY WARRANTY; without even the implied warranty of
+    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+    GNU General Public License for more details.
+
+    You should have received a copy of the GNU General Public License along
+    with this program; if not, write to the Free Software Foundation, Inc.,
+    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
+
+    See the full license in the file "LICENSE" in the top level distribution directory
+    *************************************************************************************/
+    /*  END LEGAL */
+#include <Grid/Grid.h>
+#include <Grid/algorithms/iterative/ImplicitlyRestartedBlockLanczos.h>
+#include <Grid/algorithms/iterative/ImplicitlyRestartedBlockLanczosCoarse.h>
+#include <Grid/algorithms/iterative/AdefMrhs.h>
+#include <Grid/algorithms/iterative/PowerSpectrum.h>
+#include <Grid/algorithms/iterative/BlockConjugateGradient.h>
+
+using namespace std;
+using namespace Grid;
+
+template<class aggregation>
+void SaveFineEvecs(aggregation &Agg,std::string file)
+{
+#ifdef HAVE_LIME
+  emptyUserRecord record;
+  ScidacWriter WR(Agg[0].Grid()->IsBoss());
+  WR.open(file);
+  for(int b=0;b<Agg.size();b++){
+    WR.writeScidacFieldRecord(Agg[b],record,0,Grid::BinaryIO::BINARYIO_LEXICOGRAPHIC);
+  }
+  WR.close();
+#endif
+}
+template<class aggregation>
+void SaveBasis(aggregation &Agg,std::string file)
+{
+#ifdef HAVE_LIME
+  emptyUserRecord record;
+  ScidacWriter WR(Agg.FineGrid->IsBoss());
+  WR.open(file);
+  for(int b=0;b<Agg.subspace.size();b++){
+    WR.writeScidacFieldRecord(Agg.subspace[b],record,0,Grid::BinaryIO::BINARYIO_LEXICOGRAPHIC);
+    //    WR.writeScidacFieldRecord(Agg.subspace[b],record);
+  }
+  WR.close();
+#endif
+}
+template<class aggregation>
+void LoadBasis(aggregation &Agg, std::string file)
+{
+#ifdef HAVE_LIME
+  emptyUserRecord record;
+  ScidacReader RD ;
+  RD.open(file);
+  for(int b=0;b<Agg.subspace.size();b++){
+    RD.readScidacFieldRecord(Agg.subspace[b],record,Grid::BinaryIO::BINARYIO_LEXICOGRAPHIC);
+    //    RD.readScidacFieldRecord(Agg.subspace[b],record,0);
+  }    
+  RD.close();
+#endif
+}
+
+template<class aggregation>
+void LoadBasisSkip(aggregation &Agg, std::string file,int N,LatticeFermionF & tmp)
+{
+#ifdef HAVE_LIME
+  emptyUserRecord record;
+  ScidacReader RD ;
+  
+  RD.open(file);
+  for(int b=0;b<Agg.subspace.size();b++){
+    for(int n=0;n<N;n++){
+      RD.readScidacFieldRecord(tmp,record,Grid::BinaryIO::BINARYIO_LEXICOGRAPHIC);
+      if(n==0) precisionChange(Agg.subspace[b],tmp);
+    }
+    //    RD.readScidacFieldRecord(Agg.subspace[b],record,0);
+  }    
+  RD.close();
+#endif
+}
+template<class aggregation>
+void LoadBasisSum(aggregation &Agg, std::string file,int N,LatticeFermionF & tmp)
+{
+#ifdef HAVE_LIME
+  emptyUserRecord record;
+  ScidacReader RD ;
+  
+  LatticeFermionF sum(tmp.Grid());
+  RD.open(file);
+  for(int b=0;b<Agg.subspace.size();b++){
+    sum=Zero();
+    for(int n=0;n<N;n++){
+      RD.readScidacFieldRecord(tmp,record,Grid::BinaryIO::BINARYIO_LEXICOGRAPHIC);
+      sum=sum+tmp;
+    }
+    precisionChange(Agg.subspace[b],sum);
+    //    RD.readScidacFieldRecord(Agg.subspace[b],record,0);
+  }    
+  RD.close();
+#endif
+}
+
+template<class CoarseVector>
+void SaveEigenvectors(std::vector<RealD>            &eval,
+		      std::vector<CoarseVector>     &evec,
+		      std::string evec_file,
+		      std::string eval_file)
+{
+#ifdef HAVE_LIME
+  emptyUserRecord record;
+  ScidacWriter WR(evec[0].Grid()->IsBoss());
+  WR.open(evec_file);
+  for(int b=0;b<evec.size();b++){
+    WR.writeScidacFieldRecord(evec[b],record,0,0);
+  }
+  WR.close();
+  XmlWriter WRx(eval_file);
+  write(WRx,"evals",eval);
+#endif
+}
+template<class CoarseVector>
+void LoadEigenvectors(std::vector<RealD>            &eval,
+		      std::vector<CoarseVector>     &evec,
+		      std::string evec_file,
+		      std::string eval_file)
+{
+#ifdef HAVE_LIME
+    XmlReader RDx(eval_file);
+    read(RDx,"evals",eval);
+    emptyUserRecord record;
+
+    Grid::ScidacReader RD ;
+    RD.open(evec_file);
+    assert(evec.size()==eval.size());
+    for(int k=0;k<eval.size();k++) {
+      RD.readScidacFieldRecord(evec[k],record);
+    }
+    RD.close();
+#endif
+}
+
+// Want Op in CoarsenOp to call MatPcDagMatPc
+template<class Field>
+class HermOpAdaptor : public LinearOperatorBase<Field>
+{
+  LinearOperatorBase<Field> & wrapped;
+public:
+  HermOpAdaptor(LinearOperatorBase<Field> &wrapme) : wrapped(wrapme)  {};
+  void Op     (const Field &in, Field &out)   { wrapped.HermOp(in,out);  }
+  void HermOp(const Field &in, Field &out)    { wrapped.HermOp(in,out); }
+  void AdjOp     (const Field &in, Field &out){ wrapped.HermOp(in,out);  }
+  void OpDiag (const Field &in, Field &out)                  {    assert(0);  }
+  void OpDir  (const Field &in, Field &out,int dir,int disp) {    assert(0);  }
+  void OpDirAll  (const Field &in, std::vector<Field> &out)  {    assert(0);  };
+  void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2){    assert(0);  }
+};
+
+template<class Field> class FixedCGPolynomial : public LinearFunction<Field>
+{
+public:
+  using LinearFunction<Field>::operator();
+  typedef LinearOperatorBase<Field> FineOperator;
+  FineOperator   & _SmootherOperator;
+  ConjugateGradientPolynomial<Field>  CG;
+  int iters;
+  bool record;
+  int replay_count;
+  FixedCGPolynomial(int _iters, FineOperator &SmootherOperator) :
+    _SmootherOperator(SmootherOperator),
+    iters(_iters),
+    record(true),
+    CG(0.0,_iters,false)
+  {
+    std::cout << GridLogMessage<<" FixedCGPolynomial order "<<iters<<std::endl;
+    replay_count = 0;
+  };
+  void operator() (const Field &in, Field &out) 
+  {
+#if 1
+    GridBase *grid = in.Grid();
+    Field Mx0(grid);
+    Field r0(grid);
+    Field Minvr0(grid);
+
+    _SmootherOperator.HermOp(out,Mx0);
+
+    r0 = in - Mx0;
+
+    Minvr0 = Zero();
+    Minvr0.Checkerboard()=in.Checkerboard();
+    
+    if ( record ) {
+      std::cout << " FixedCGPolynomial recording polynomial "<<std::endl;
+      CG.Solve(_SmootherOperator,r0,Minvr0);
+      record = false;
+      /*
+      std::cout << "P(x) = 0 "<<std::endl;
+      for(int i=0;i<CG.polynomial.size();i++){
+	std::cout<<" + "<< CG.polynomial[i]<<" * (x**"<<i<<")"<<std::endl;
+	}
+      */
+      Field tmp(Minvr0.Grid());
+      CG.CGsequenceHermOp(_SmootherOperator,r0,tmp);
+      tmp = tmp - Minvr0;
+      std::cout << " CGsequence error "<<norm2(tmp)<<" / "<<norm2(out)<<std::endl;
+    } else {
+      std::cout << " FixedCGPolynomial replaying polynomial "<<std::endl;
+      CG.CGsequenceHermOp(_SmootherOperator,r0,Minvr0);
+      if ( replay_count %5== 0 ) record=true;
+      replay_count++;
+    }
+    out = out + Minvr0;
+    _SmootherOperator.HermOp(out,r0);
+    r0 = r0 - in;
+    RealD rr=norm2(r0);
+    RealD ss=norm2(in);
+    std::cout << " FixedCGPolynomial replayed polynomial resid "<<::sqrt(rr/ss)<<std::endl;
+#else
+    out = Zero();
+    out.Checkerboard()=in.Checkerboard();
+    if ( record ) {
+      std::cout << " FixedCGPolynomial recording polynomial "<<std::endl;
+      CG.Solve(_SmootherOperator,in,out);
+      record = false;
+      std::cout << "P(x) = 0 "<<std::endl;
+      for(int i=0;i<CG.polynomial.size();i++){
+	std::cout<<" + "<< CG.polynomial[i]<<" * (x**"<<i<<")"<<std::endl;
+      }
+      Field tmp(in.Grid());
+      CG.CGsequenceHermOp(_SmootherOperator,in,tmp);
+      tmp = tmp - out;
+      std::cout << " CGsequence error "<<norm2(tmp)<<" / "<<norm2(out)<<std::endl;
+    } else {
+      std::cout << " FixedCGPolynomial replaying polynomial "<<std::endl;
+      CG.CGsequenceHermOp(_SmootherOperator,in,out);
+      if ( replay_count %5== 5 ) record=true;
+      replay_count++;
+    }
+#endif
+    
+  }
+  void operator() (const std::vector<Field> &in, std::vector<Field> &out)
+  {
+    for(int i=0;i<out.size();i++){
+      out[i]=Zero();
+    }
+    int blockDim = 0;//not used for BlockCGVec
+    BlockConjugateGradient<Field>    BCGV  (BlockCGrQVec,blockDim,0.0,iters,false);
+    BCGV(_SmootherOperator,in,out);
+  }
+  
+};
+template<class Field> class CGSmoother : public LinearFunction<Field>
+{
+public:
+  using LinearFunction<Field>::operator();
+  typedef LinearOperatorBase<Field> FineOperator;
+  FineOperator   & _SmootherOperator;
+  int iters;
+  CGSmoother(int _iters, FineOperator &SmootherOperator) :
+    _SmootherOperator(SmootherOperator),
+    iters(_iters)
+  {
+    std::cout << GridLogMessage<<" Mirs smoother order "<<iters<<std::endl;
+  };
+  void operator() (const Field &in, Field &out) 
+  {
+    ConjugateGradient<Field>  CG(0.0,iters,false); // non-converge is just fine in a smoother
+
+    out=Zero();
+
+    CG(_SmootherOperator,in,out);
+  }
+};
+
+
+RealD InverseApproximation(RealD x){
+  return 1.0/x;
+}
+template<class Field> class ChebyshevSmoother : public LinearFunction<Field>
+{
+public:
+  using LinearFunction<Field>::operator();
+  typedef LinearOperatorBase<Field> FineOperator;
+  FineOperator   & _SmootherOperator;
+  Chebyshev<Field> Cheby;
+  ChebyshevSmoother(RealD _lo,RealD _hi,int _ord, FineOperator &SmootherOperator) :
+    _SmootherOperator(SmootherOperator),
+    Cheby(_lo,_hi,_ord,InverseApproximation)
+  {
+    std::cout << GridLogMessage<<" Chebyshev smoother order "<<_ord<<" ["<<_lo<<","<<_hi<<"]"<<std::endl;
+  };
+  void operator() (const Field &in, Field &out) 
+  {
+    //    Field r(out.Grid());
+    Cheby(_SmootherOperator,in,out);
+    //    _SmootherOperator.HermOp(out,r);
+    //    r=r-in;
+    //    RealD rr=norm2(r);
+    //    RealD ss=norm2(in);
+    //    std::cout << GridLogMessage<<" Chebyshev smoother resid "<<::sqrt(rr/ss)<<std::endl;
+  }
+};
+
+template<class Field> class ChebyshevInverter : public LinearFunction<Field>
+{
+public:
+  using LinearFunction<Field>::operator();
+  typedef LinearOperatorBase<Field> FineOperator;
+  FineOperator   & _Operator;
+  Chebyshev<Field> Cheby;
+  ChebyshevInverter(RealD _lo,RealD _hi,int _ord, FineOperator &Operator) :
+    _Operator(Operator),
+    Cheby(_lo,_hi,_ord,InverseApproximation)
+  {
+    std::cout << GridLogMessage<<" Chebyshev Inverter order "<<_ord<<" ["<<_lo<<","<<_hi<<"]"<<std::endl;
+  };
+  void operator() (const Field &in, Field &out) 
+  {
+    Field r(in.Grid());
+    Field AinvR(in.Grid());
+    _Operator.HermOp(out,r);
+    r = in - r; // b - A x
+    Cheby(_Operator,r,AinvR); // A^{-1} ( b - A x ) ~ A^{-1} b - x
+    out = out + AinvR;
+    _Operator.HermOp(out,r);
+    r = in - r; // b - A x
+    RealD rr = norm2(r);
+    RealD ss = norm2(in);
+    std::cout << "ChebshevInverse resid " <<::sqrt(rr/ss)<<std::endl;
+  }
+};
+
+
+
+int main (int argc, char ** argv)
+{
+  Grid_init(&argc,&argv);
+
+  int sample=1;
+  if( GridCmdOptionExists(argv,argv+argc,"--sample") ){
+    std::string arg;
+    arg = GridCmdOptionPayload(argv,argv+argc,"--sample");
+    GridCmdOptionInt(arg,sample);
+  }
+  
+  const int Ls=24;
+  const int nbasis = 64;
+  const int cb = 0 ;
+  RealD mass=0.00078;
+
+  if( GridCmdOptionExists(argv,argv+argc,"--mass") ){
+    std::string arg;
+    arg = GridCmdOptionPayload(argv,argv+argc,"--mass");
+    GridCmdOptionFloat(arg,mass);
+  }
+
+  RealD M5=1.8;
+  RealD b=1.5;
+  RealD c=0.5;
+
+  std::cout << GridLogMessage << " *************************** " <<std::endl;
+  std::cout << GridLogMessage << " Mass " <<mass<<std::endl;
+  std::cout << GridLogMessage << " M5   " <<M5<<std::endl;
+  std::cout << GridLogMessage << " Ls   " <<Ls<<std::endl;
+  std::cout << GridLogMessage << " b    " <<b<<std::endl;
+  std::cout << GridLogMessage << " c    " <<c<<std::endl;
+  std::cout << GridLogMessage << " *************************** " <<std::endl;
+  
+  GridCartesian         * UGrid   = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(),
+								   GridDefaultSimd(Nd,vComplex::Nsimd()),
+								   GridDefaultMpi());
+  GridRedBlackCartesian * UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
+  GridCartesian         * FGrid   = SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid);
+  GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGrid);
+
+  //////////////////////////////////////////
+  // Single precision grids -- lanczos + smoother
+  //////////////////////////////////////////
+  GridCartesian         * UGridF   = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(),
+								   GridDefaultSimd(Nd,vComplexF::Nsimd()),
+								   GridDefaultMpi());
+  GridRedBlackCartesian * UrbGridF = SpaceTimeGrid::makeFourDimRedBlackGrid(UGridF);
+  GridCartesian         * FGridF   = SpaceTimeGrid::makeFiveDimGrid(Ls,UGridF);
+  GridRedBlackCartesian * FrbGridF = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGridF);
+
+  ///////////////////////// Configuration /////////////////////////////////
+  LatticeGaugeField Umu(UGrid);
+
+  FieldMetaData header;
+  std::string file("ckpoint_lat.1000");
+  NerscIO::readConfiguration(Umu,header,file);
+
+  //////////////////////// Fermion action //////////////////////////////////
+  MobiusFermionD Ddwf(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5,b,c);
+  SchurDiagMooeeOperator<MobiusFermionD, LatticeFermion> HermOpEO(Ddwf);
+
+  std::cout << "**************************************"<<std::endl;
+  std::cout << "         Fine Power method            "<<std::endl;
+  std::cout << "**************************************"<<std::endl;
+
+  {
+    LatticeFermionD pm_src(FrbGrid);
+    pm_src = ComplexD(1.0);
+    PowerMethod<LatticeFermionD>       fPM;
+    fPM(HermOpEO,pm_src);
+  }
+
+  if(0)
+  {
+
+    std::cout << "**************************************"<<std::endl;
+    std::cout << "         Fine Lanczos           "<<std::endl;
+    std::cout << "**************************************"<<std::endl;
+
+    typedef LatticeFermionF FermionField;
+    LatticeGaugeFieldF UmuF(UGridF);
+    precisionChange(UmuF,Umu);
+    MobiusFermionF DdwfF(UmuF,*FGridF,*FrbGridF,*UGridF,*UrbGridF,mass,M5,b,c);
+    SchurDiagMooeeOperator<MobiusFermionF, LatticeFermionF> HermOpEOF(DdwfF);
+
+    const int Fine_Nstop = 200;
+    const int Fine_Nk = 200;
+    const int Fine_Np = 200;
+    const int Fine_Nm = Fine_Nk+Fine_Np;
+    const int Fine_MaxIt= 10;
+
+    RealD Fine_resid = 1.0e-4;
+    std::cout << GridLogMessage << "Fine Lanczos "<<std::endl;
+    std::cout << GridLogMessage << "Nstop "<<Fine_Nstop<<std::endl;
+    std::cout << GridLogMessage << "Nk "<<Fine_Nk<<std::endl;
+    std::cout << GridLogMessage << "Np "<<Fine_Np<<std::endl;
+    std::cout << GridLogMessage << "resid "<<Fine_resid<<std::endl;
+
+    Chebyshev<FermionField> Cheby(0.002,92.0,401);
+    //    Chebyshev<FermionField> Cheby(0.1,92.0,401);
+    FunctionHermOp<FermionField> OpCheby(Cheby,HermOpEOF);
+    PlainHermOp<FermionField> Op     (HermOpEOF);
+    ImplicitlyRestartedLanczos<FermionField> IRL(OpCheby,Op,Fine_Nstop,Fine_Nk,Fine_Nm,Fine_resid,Fine_MaxIt);
+    std::vector<RealD>          Fine_eval(Fine_Nm);
+    FermionField                Fine_src(FrbGridF); 
+    Fine_src = ComplexF(1.0);
+    std::vector<FermionField> Fine_evec(Fine_Nm,FrbGridF);
+
+    int Fine_Nconv;
+    std::cout << GridLogMessage <<" Calling IRL.calc single prec"<<std::endl;
+    IRL.calc(Fine_eval,Fine_evec,Fine_src,Fine_Nconv);
+
+    std::string evec_file("/lustre/orion/phy157/proj-shared/phy157_dwf/paboyle/Subspace.phys48.evecF");
+    SaveFineEvecs(Fine_evec,evec_file);
+  }
+
+
+  //////////////////////////////////////////
+  // Construct a coarsened grid with 4^4 cell
+  //////////////////////////////////////////
+  Coordinate Block({4,4,6,4});
+  Coordinate clatt = GridDefaultLatt();
+  for(int d=0;d<clatt.size();d++){
+    clatt[d] = clatt[d]/Block[d];
+  }
+
+  GridCartesian *Coarse4d =  SpaceTimeGrid::makeFourDimGrid(clatt,
+							    GridDefaultSimd(Nd,vComplex::Nsimd()),
+							    GridDefaultMpi());;
+  GridCartesian *Coarse5d =  SpaceTimeGrid::makeFiveDimGrid(1,Coarse4d);
+
+  ///////////////////////// RNGs /////////////////////////////////
+  std::vector<int> seeds4({1,2,3,4});
+  std::vector<int> seeds5({5,6,7,8});
+  std::vector<int> cseeds({5,6,7,8});
+
+  GridParallelRNG          RNG5(FGrid);   RNG5.SeedFixedIntegers(seeds5);
+  GridParallelRNG          RNG4(UGrid);   RNG4.SeedFixedIntegers(seeds4);
+  GridParallelRNG          CRNG(Coarse5d);CRNG.SeedFixedIntegers(cseeds);
+
+  
+  typedef HermOpAdaptor<LatticeFermionD> HermFineMatrix;
+  HermFineMatrix FineHermOp(HermOpEO);
+
+  ////////////////////////////////////////////////////////////
+  ///////////// Coarse basis and Little Dirac Operator ///////
+  ////////////////////////////////////////////////////////////
+  typedef GeneralCoarsenedMatrix<vSpinColourVector,vTComplex,nbasis> LittleDiracOperator;
+  typedef LittleDiracOperator::CoarseVector CoarseVector;
+
+  NextToNextToNextToNearestStencilGeometry5D geom(Coarse5d);
+
+  typedef Aggregation<vSpinColourVector,vTComplex,nbasis> Subspace;
+  Subspace Aggregates(Coarse5d,FrbGrid,cb);
+
+  ////////////////////////////////////////////////////////////
+  // Need to check about red-black grid coarsening
+  ////////////////////////////////////////////////////////////
+  std::string subspace_file("/lustre/orion/phy157/proj-shared/phy157_dwf/paboyle/Subspace.phys48.mixed.2500.60");
+  //  //  std::string subspace_file("/lustre/orion/phy157/proj-shared/phy157_dwf/paboyle/Subspace.phys48.new.62");
+  std::string refine_file("/lustre/orion/phy157/proj-shared/phy157_dwf/paboyle/Subspace.phys48.evecF");
+  //  std::string refine_file("/lustre/orion/phy157/proj-shared/phy157_dwf/paboyle/Refine.phys48.mixed.2500.60");
+  std::string ldop_file("/lustre/orion/phy157/proj-shared/phy157_dwf/paboyle/LittleDiracOp.phys48.mixed.60");
+  std::string evec_file("/lustre/orion/phy157/proj-shared/phy157_dwf/paboyle/evecs.scidac");
+  std::string eval_file("/lustre/orion/phy157/proj-shared/phy157_dwf/paboyle/eval.xml");
+  bool load_agg=true;
+  bool load_refine=true;
+  bool load_mat=false;
+  bool load_evec=false;
+
+  int refine=1;
+  if ( load_agg ) {
+    if ( !(refine) || (!load_refine) ) { 
+      LoadBasis(Aggregates,subspace_file);
+    }
+  } else {
+    //    Aggregates.CreateSubspaceMultishift(RNG5,HermOpEO,
+    //    					0.0003,1.0e-5,2000); // Lo, tol, maxit
+    //    Aggregates.CreateSubspaceChebyshev(RNG5,HermOpEO,nbasis,95.,0.01,1500);// <== last run
+    Aggregates.CreateSubspaceChebyshevNew(RNG5,HermOpEO,95.); 
+    SaveBasis(Aggregates,subspace_file);
+  }
+
+  std::cout << "**************************************"<<std::endl;
+  std::cout << "Building MultiRHS Coarse operator"<<std::endl;
+  std::cout << "**************************************"<<std::endl;
+  ConjugateGradient<CoarseVector>  coarseCG(4.0e-2,20000,true);
+    
+  const int nrhs=12;
+    
+  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); 
+  typedef MultiGeneralCoarsenedMatrix<vSpinColourVector,vTComplex,nbasis> MultiGeneralCoarsenedMatrix_t;
+  MultiGeneralCoarsenedMatrix_t mrhs(geom,CoarseMrhs);
+
+  std::cout << "**************************************"<<std::endl;
+  std::cout << "         Coarse Lanczos               "<<std::endl;
+  std::cout << "**************************************"<<std::endl;
+
+  typedef HermitianLinearOperator<MultiGeneralCoarsenedMatrix_t,CoarseVector> MrhsHermMatrix;
+  Chebyshev<CoarseVector>      IRLCheby(0.005,42.0,301);  // 1 iter
+  MrhsHermMatrix MrhsCoarseOp     (mrhs);
+
+  //  CoarseVector pm_src(CoarseMrhs);
+  //  pm_src = ComplexD(1.0);
+  //  PowerMethod<CoarseVector>       cPM;   cPM(MrhsCoarseOp,pm_src);
+
+  int Nk=192;
+  int Nm=384;
+  int Nstop=Nk;
+  int Nconv_test_interval=1;
+  
+  ImplicitlyRestartedBlockLanczosCoarse<CoarseVector> IRL(MrhsCoarseOp,
+							  Coarse5d,
+							  CoarseMrhs,
+							  nrhs,
+							  IRLCheby,
+							  Nstop,
+							  Nconv_test_interval,
+							  nrhs,
+							  Nk,
+							  Nm,
+							  1e-5,10);
+
+  int Nconv;
+  std::vector<RealD>            eval(Nm);
+  std::vector<CoarseVector>     evec(Nm,Coarse5d);
+  std::vector<CoarseVector>     c_src(nrhs,Coarse5d);
+
+  ///////////////////////
+  // Deflation guesser object
+  ///////////////////////
+  MultiRHSDeflation<CoarseVector> MrhsGuesser;
+
+  //////////////////////////////////////////
+  // Block projector for coarse/fine
+  //////////////////////////////////////////
+  MultiRHSBlockProject<LatticeFermionD> MrhsProjector;
+
+  //////////////////////////
+  // Extra HDCG parameters
+  //////////////////////////
+  int maxit=300;
+  ConjugateGradient<CoarseVector>  CG(5.0e-2,maxit,false);
+  ConjugateGradient<CoarseVector>  CGstart(5.0e-2,maxit,false);
+  RealD lo=2.0;
+  int ord = 7;
+  //  int ord = 11;
+
+  int blockDim = 0;//not used for BlockCG
+  BlockConjugateGradient<CoarseVector>    BCG  (BlockCGrQ,blockDim,5.0e-5,maxit,true);
+
+  DoNothingGuesser<CoarseVector> DoNothing;
+  //  HPDSolver<CoarseVector> HPDSolveMrhs(MrhsCoarseOp,CG,DoNothing);
+  //  HPDSolver<CoarseVector> HPDSolveMrhsStart(MrhsCoarseOp,CGstart,DoNothing);
+  //  HPDSolver<CoarseVector> HPDSolveMrhs(MrhsCoarseOp,BCG,DoNothing);
+  //  HPDSolver<CoarseVector> HPDSolveMrhsRefine(MrhsCoarseOp,BCG,DoNothing);
+  //  FixedCGPolynomial<CoarseVector>  HPDSolveMrhs(maxit,MrhsCoarseOp);
+
+  ChebyshevInverter<CoarseVector> HPDSolveMrhs(1.0e-2,40.0,120,MrhsCoarseOp);  //
+  //  ChebyshevInverter<CoarseVector> HPDSolveMrhs(1.0e-2,40.0,110,MrhsCoarseOp);  // 114 iter with Chebysmooth and BlockCG
+  //  ChebyshevInverter<CoarseVector> HPDSolveMrhs(1.0e-2,40.0,120,MrhsCoarseOp); // 138 iter with Chebysmooth
+  //  ChebyshevInverter<CoarseVector> HPDSolveMrhs(1.0e-2,40.0,200,MrhsCoarseOp); // 139 iter
+  //  ChebyshevInverter<CoarseVector> HPDSolveMrhs(3.0e-3,40.0,200,MrhsCoarseOp); // 137 iter, CG smooth, flex
+  //  ChebyshevInverter<CoarseVector> HPDSolveMrhs(1.0e-3,40.0,200,MrhsCoarseOp); // 146 iter, CG smooth, flex
+  //  ChebyshevInverter<CoarseVector> HPDSolveMrhs(3.0e-4,40.0,200,MrhsCoarseOp); // 156 iter, CG smooth, flex
+
+  /////////////////////////////////////////////////
+  // Mirs smoother
+  /////////////////////////////////////////////////
+  ShiftedHermOpLinearOperator<LatticeFermionD> ShiftedFineHermOp(HermOpEO,lo);
+  //  FixedCGPolynomial<LatticeFermionD> CGsmooth(ord,ShiftedFineHermOp) ;
+  //  CGSmoother<LatticeFermionD> CGsmooth(ord,ShiftedFineHermOp) ;
+  ChebyshevSmoother<LatticeFermionD> CGsmooth(2.0,92.0,8,HermOpEO) ;
+  
+  if ( load_refine ) {
+    //LoadBasis(Aggregates,refine_file);
+    LatticeFermionF conv_tmp(FrbGridF);
+    LoadBasisSum(Aggregates,refine_file,sample,conv_tmp);
+  } else {
+    Aggregates.RefineSubspace(HermOpEO,0.001,1.0e-3,3000); // 172 iters
+    SaveBasis(Aggregates,refine_file);
+  }
+  Aggregates.Orthogonalise();
+
+  std::cout << "**************************************"<<std::endl;
+  std::cout << "Coarsen after refine"<<std::endl;
+  std::cout << "**************************************"<<std::endl;
+  mrhs.CoarsenOperator(FineHermOp,Aggregates,Coarse5d);
+
+  std::cout << "**************************************"<<std::endl;
+  std::cout << " Recompute coarse evecs  "<<std::endl;
+  std::cout << "**************************************"<<std::endl;
+  evec.resize(Nm,Coarse5d);
+  eval.resize(Nm);
+  for(int r=0;r<nrhs;r++){
+    random(CRNG,c_src[r]);
+  }
+ IRL.calc(eval,evec,c_src,Nconv,LanczosType::irbl);
+
+  std::cout << "**************************************"<<std::endl;
+  std::cout << " Reimport coarse evecs  "<<std::endl;
+  std::cout << "**************************************"<<std::endl;
+  MrhsGuesser.ImportEigenBasis(evec,eval);
+
+  std::cout << "**************************************"<<std::endl;
+  std::cout << " Setting up mRHS HDCG"<<std::endl;
+  std::cout << "**************************************"<<std::endl;
+  MrhsProjector.Allocate(nbasis,FrbGrid,Coarse5d);
+  MrhsProjector.ImportBasis(Aggregates.subspace);
+      
+  std::cout << "**************************************"<<std::endl;
+  std::cout << "Calling mRHS HDCG"<<std::endl;
+  std::cout << "**************************************"<<std::endl;
+  TwoLevelADEF2mrhs<LatticeFermion,CoarseVector>
+    HDCGmrhs(1.0e-8, 300,
+	     FineHermOp,
+	     CGsmooth,
+	     HPDSolveMrhs,    // Used in M1
+	     HPDSolveMrhs,          // Used in Vstart
+	     MrhsProjector,
+	     MrhsGuesser,
+	     CoarseMrhs);
+    
+  std::vector<LatticeFermionD> src_mrhs(nrhs,FrbGrid);
+  std::vector<LatticeFermionD> res_mrhs(nrhs,FrbGrid);
+  LatticeFermionD result_accurate(FrbGrid);
+  LatticeFermionD result_sloppy(FrbGrid);
+  LatticeFermionD error(FrbGrid);
+  LatticeFermionD residual(FrbGrid);
+
+  for(int r=0;r<nrhs;r++){
+    random(RNG5,src_mrhs[r]);
+    res_mrhs[r]=Zero();
+  }
+  HDCGmrhs(src_mrhs,res_mrhs);
+  result_accurate = res_mrhs[0];
+
+#if 0
+  std::vector<RealD> tols({1.0e-3,1.0e-4,1.0e-5});
+
+  std::vector<RealD>   bins({1.0e-3,1.0e-2,1.0e-1,1.0,10.0,100.0});
+  std::vector<int>   orders({6000  ,4000  ,1000  ,500,500 ,500});
+  PowerSpectrum GraphicEqualizer(bins,orders);
+
+  for(auto tol : tols) {
+    
+    TwoLevelADEF2mrhs<LatticeFermion,CoarseVector>
+      HDCGmrhsSloppy(tol, 500,
+		     FineHermOp,
+		     CGsmooth,
+		     HPDSolveMrhs,    // Used in M1
+		     HPDSolveMrhs,    // Used in Vstart
+		     MrhsProjector,
+		     MrhsGuesser,
+		     CoarseMrhs);
+  
+    //  Solve again to 10^-5
+    for(int r=0;r<nrhs;r++){
+      res_mrhs[r]=Zero();
+    }
+    HDCGmrhsSloppy(src_mrhs,res_mrhs);
+    
+    result_sloppy = res_mrhs[0];
+    error = result_sloppy - result_accurate;
+    FineHermOp.HermOp(result_sloppy,residual);
+    residual = residual - src_mrhs[0];
+    
+    std::cout << "**************************************"<<std::endl;
+    std::cout << GridLogMessage << " Converged to tolerance "<< tol<<std::endl;
+    std::cout << GridLogMessage << " Absolute error "<<norm2(error)<<std::endl;
+    std::cout << GridLogMessage << " Residual       "<<norm2(residual)<<std::endl;
+    std::cout << "**************************************"<<std::endl;
+
+    std::cout << "**************************************"<<std::endl;
+    std::cout << GridLogMessage << " PowerSpectrum of error   "<<std::endl;
+    std::cout << "**************************************"<<std::endl;
+    GraphicEqualizer(FineHermOp,error);
+    std::cout << "**************************************"<<std::endl;
+    std::cout << GridLogMessage << " PowerSpectrum of residual   "<<std::endl;
+    std::cout << "**************************************"<<std::endl;
+    GraphicEqualizer(FineHermOp,residual);
+
+  };
+#endif
+  
+  // Standard CG
+#if 0
+  {
+  std::cout << "**************************************"<<std::endl;
+  std::cout << "Calling red black CG"<<std::endl;
+  std::cout << "**************************************"<<std::endl;
+      
+    LatticeFermion result(FrbGrid); result=Zero();
+    LatticeFermion    src(FrbGrid); random(RNG5,src);
+    result=Zero();
+
+    ConjugateGradient<LatticeFermionD>  CGfine(1.0e-8,30000,false);
+    CGfine(HermOpEO, src, result);
+  }
+#endif  
+  Grid_finalize();
+  return 0;
+}