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	MultiShift for Staggered
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								tests/solver/Test_staggered_multishift.cc
									
									
									
									
									
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    /*************************************************************************************
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    Grid physics library, www.github.com/paboyle/Grid 
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    Source file: ./tests/Test_wilson_cg_unprec.cc
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    Copyright (C) 2015
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Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
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Author: Peter Boyle <paboyle@ph.ed.ac.uk>
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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/algorithms/iterative/BlockConjugateGradient.h>
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using namespace std;
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using namespace Grid;
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using namespace Grid::QCD;
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template<class d>
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struct scal {
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  d internal;
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};
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  Gamma::Algebra Gmu [] = {
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    Gamma::Algebra::GammaX,
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    Gamma::Algebra::GammaY,
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    Gamma::Algebra::GammaZ,
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    Gamma::Algebra::GammaT
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  };
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int main (int argc, char ** argv)
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{
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  typedef typename ImprovedStaggeredFermionR::FermionField FermionField; 
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  typename ImprovedStaggeredFermionR::ImplParams params; 
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  Grid_init(&argc,&argv);
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  std::vector<int> latt_size   = GridDefaultLatt();
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  std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
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  std::vector<int> mpi_layout  = GridDefaultMpi();
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  GridCartesian               Grid(latt_size,simd_layout,mpi_layout);
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  GridRedBlackCartesian     RBGrid(&Grid);
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  std::vector<int> seeds({1,2,3,4});
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  GridParallelRNG          pRNG(&Grid);  pRNG.SeedFixedIntegers(seeds);
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  LatticeGaugeField Umu(&Grid); SU3::HotConfiguration(pRNG,Umu);
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  double volume=1;
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  for(int mu=0;mu<Nd;mu++){
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    volume=volume*latt_size[mu];
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  }  
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  ////////////////////////////////////////
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  // sqrt 
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  ////////////////////////////////////////
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  double     lo=0.001;
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  double     hi=1.0;
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  int precision=64;
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  int    degree=10;
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  AlgRemez remez(lo,hi,precision);
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  remez.generateApprox(degree,1,2);
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  MultiShiftFunction Sqrt(remez,1.0e-6,false);
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  std::cout<<GridLogMessage << "Generating degree "<<degree<<" for x^(1/2)"<<std::endl;
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  ////////////////////////////////////////////
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  // Setup staggered
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  ////////////////////////////////////////////
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  RealD mass=0.003;
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  RealD c1=9.0/8.0;
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  RealD c2=-1.0/24.0;
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  RealD u0=1.0;
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  ImprovedStaggeredFermionR Ds(Umu,Umu,Grid,RBGrid,mass,c1,c2,u0);
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  SchurStaggeredOperator<ImprovedStaggeredFermionR,FermionField> HermOpEO(Ds);
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  FermionField src(&Grid); random(pRNG,src);
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  FermionField src_o(&RBGrid); 
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  pickCheckerboard(Odd,src_o,src);
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  /////////////////////////////////
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  //Multishift CG
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  /////////////////////////////////
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  std::vector<FermionField> result(degree,&RBGrid);
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  ConjugateGradientMultiShift<FermionField> MSCG(10000,Sqrt);
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  double deodoe_flops=(1205+15*degree)*volume; // == 66*16 +  == 1146
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  double t1=usecond();
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  MSCG(HermOpEO,src_o,result);
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  double t2=usecond();
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  double ncall=MSCG.IterationsToComplete;
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  double flops = deodoe_flops * ncall;
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  std::cout<<GridLogMessage << "usec    =   "<< (t2-t1)<<std::endl;
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  std::cout<<GridLogMessage << "flops   =   "<< flops<<std::endl;
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  std::cout<<GridLogMessage << "mflop/s =   "<< flops/(t2-t1)<<std::endl;
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  //  HermOpEO.Report();
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  Grid_finalize();
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}
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