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	New test for FTHMC portion
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								tests/forces/Test_fthmc.cc
									
									
									
									
									
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								tests/forces/Test_fthmc.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_fthmc.cc
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    Copyright (C) 2022
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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/qcd/smearing/GaugeConfigurationMasked.h>
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#include <Grid/qcd/smearing/JacobianAction.h>
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using namespace std;
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using namespace Grid;
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template<class Gimpl>
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void ForceTest(Action<LatticeGaugeField> &action,SmearedConfigurationMasked<PeriodicGimplR> & smU,MomentumFilterBase<LatticeGaugeField> &Filter)
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{
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  LatticeGaugeField U = smU.get_U(false); // unsmeared config
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  GridBase *UGrid = U.Grid();
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  std::vector<int> seeds({1,2,3,5});
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  GridSerialRNG            sRNG;         sRNG.SeedFixedIntegers(seeds);
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  GridParallelRNG          RNG4(UGrid);  RNG4.SeedFixedIntegers(seeds);
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  LatticeColourMatrix Pmu(UGrid); 
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  LatticeGaugeField P(UGrid); 
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  LatticeGaugeField UdSdU(UGrid); 
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  std::cout << GridLogMessage << "*********************************************************"<<std::endl;
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  std::cout << GridLogMessage << " Force test for "<<action.action_name()<<std::endl;
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  std::cout << GridLogMessage << "*********************************************************"<<std::endl;
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  RealD eps=0.005;
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  std::cout << GridLogMessage << "+++++++++++++++++++++++++++++++++++++++++++++++++++++++++"<<std::endl;
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  std::cout << GridLogMessage << " Refresh "<<action.action_name()<<std::endl;
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  std::cout << GridLogMessage << "+++++++++++++++++++++++++++++++++++++++++++++++++++++++++"<<std::endl;
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  Gimpl::generate_momenta(P,sRNG,RNG4);
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  Filter.applyFilter(P);
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  action.refresh(smU,sRNG,RNG4);
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  std::cout << GridLogMessage << "+++++++++++++++++++++++++++++++++++++++++++++++++++++++++"<<std::endl;
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  std::cout << GridLogMessage << " Action "<<action.action_name()<<std::endl;
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  std::cout << GridLogMessage << "+++++++++++++++++++++++++++++++++++++++++++++++++++++++++"<<std::endl;
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  RealD S1 = action.S(smU);
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  Gimpl::update_field(P,U,eps);
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  smU.set_Field(U);
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  std::cout << GridLogMessage << "+++++++++++++++++++++++++++++++++++++++++++++++++++++++++"<<std::endl;
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  std::cout << GridLogMessage << " Derivative "<<action.action_name()<<std::endl;
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  std::cout << GridLogMessage << "+++++++++++++++++++++++++++++++++++++++++++++++++++++++++"<<std::endl;
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  action.deriv(smU,UdSdU);
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  UdSdU = Ta(UdSdU);
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  Filter.applyFilter(UdSdU);
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  DumpSliceNorm("Force",UdSdU,Nd-1);
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  Gimpl::update_field(P,U,eps);
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  smU.set_Field(U);
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  std::cout << GridLogMessage << "+++++++++++++++++++++++++++++++++++++++++++++++++++++++++"<<std::endl;
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  std::cout << GridLogMessage << " Action "<<action.action_name()<<std::endl;
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  std::cout << GridLogMessage << "+++++++++++++++++++++++++++++++++++++++++++++++++++++++++"<<std::endl;
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  RealD S2 = action.S(smU);
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  // Use the derivative
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  LatticeComplex dS(UGrid); dS = Zero();
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  for(int mu=0;mu<Nd;mu++){
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    auto UdSdUmu = PeekIndex<LorentzIndex>(UdSdU,mu);
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    Pmu= PeekIndex<LorentzIndex>(P,mu);
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    dS = dS - trace(Pmu*UdSdUmu)*eps*2.0*2.0;
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  }
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  ComplexD dSpred    = sum(dS);
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  RealD diff =  S2-S1-dSpred.real();
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  std::cout<< GridLogMessage << "+++++++++++++++++++++++++++++++++++++++++++++++++++++++++"<<std::endl;
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  std::cout<< GridLogMessage << "S1 : "<< S1    <<std::endl;
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  std::cout<< GridLogMessage << "S2 : "<< S2    <<std::endl;
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  std::cout<< GridLogMessage << "dS : "<< S2-S1 <<std::endl;
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  std::cout<< GridLogMessage << "dSpred : "<< dSpred.real() <<std::endl;
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  std::cout<< GridLogMessage << "diff : "<< diff<<std::endl;
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  std::cout<< GridLogMessage << "*********************************************************"<<std::endl;
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  //  assert(diff<1.0);
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  std::cout<< GridLogMessage << "Done" <<std::endl;
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  std::cout << GridLogMessage << "*********************************************************"<<std::endl;
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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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  std::cout << std::setprecision(14);
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  Coordinate latt_size   = GridDefaultLatt();
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  Coordinate mpi_layout  = GridDefaultMpi();
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  Coordinate simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
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  Coordinate shm;
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  GlobalSharedMemory::GetShmDims(mpi_layout,shm);
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  const int Ls=12;
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  const int Nt = latt_size[3];
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  GridCartesian         * UGrid   = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplex::Nsimd()),GridDefaultMpi());
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  GridCartesian         * FGrid   = SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid);
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  ///////////////////// Gauge Field and Gauge Forces ////////////////////////////
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  LatticeGaugeField U(UGrid);
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#if  0
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  FieldMetaData header;
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  std::string file("./ckpoint_lat.2000");
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  NerscIO::readConfiguration(U,header,file);
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#else
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  std::vector<int> seeds({1,2,3,4,5,6,7,8});
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  GridParallelRNG          RNG4(UGrid);  RNG4.SeedFixedIntegers(seeds);
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  SU<Nc>::HotConfiguration(RNG4,U);
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#endif
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  RealD beta=6.0;
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  WilsonGaugeActionR  PlaqAction(beta);
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  IwasakiGaugeActionR RectAction(beta);
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  ////////////////////////////////////////////////
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  // Plaquette only FTHMC smearer
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  ////////////////////////////////////////////////
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  double rho = 0.1;
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  Smear_Stout<PeriodicGimplR> Smearer(rho);
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  SmearedConfigurationMasked<PeriodicGimplR> SmartConfig(UGrid,2*Nd,Smearer,true);
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  JacobianAction<PeriodicGimplR> Jacobian(&SmartConfig);
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  ////////////////////////////////////////////////
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  // Run some tests
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  ////////////////////////////////////////////////
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  MomentumFilterNone<LatticeGaugeField> FilterNone;
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  SmartConfig.set_Field(U);
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  ForceTest<GimplTypesR>(PlaqAction,SmartConfig,FilterNone);
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  SmartConfig.set_Field(U);
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  ForceTest<GimplTypesR>(RectAction,SmartConfig,FilterNone);
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  SmartConfig.set_Field(U);
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  ForceTest<GimplTypesR>(Jacobian,SmartConfig,FilterNone);
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  Grid_finalize();
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}
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