Grid/lib/qcd/action/pseudofermion/EvenOddSchurDifferentiable.h

    /*************************************************************************************

    Grid physics library, www.github.com/paboyle/Grid 

    Source file: ./lib/qcd/action/pseudofermion/EvenOddSchurDifferentiable.h

    Copyright (C) 2015

Author: Peter Boyle <paboyle@ph.ed.ac.uk>
Author: Guido Cossu <guido.cossu@ed.ac.uk>

    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 */
#ifndef QCD_EVEN_ODD_SCHUR_DIFFERENTIABLE_H
#define QCD_EVEN_ODD_SCHUR_DIFFERENTIABLE_H

namespace Grid{
  namespace QCD{

    // Base even odd HMC on the normal Mee based schur decomposition.
    //
    //     M = (Mee Meo) =  (1             0 )   (Mee   0               )  (1 Mee^{-1} Meo)
    //         (Moe Moo)    (Moe Mee^-1    1 )   (0   Moo-Moe Mee^-1 Meo)  (0   1         )
    //
    // Determinant is det of middle factor
    // This assumes Mee is indept of U.
    //
    template<class Impl>
    class SchurDifferentiableOperator :  public SchurDiagMooeeOperator<FermionOperator<Impl>,typename Impl::FermionField> 
      {
      public:
      INHERIT_IMPL_TYPES(Impl);

        typedef FermionOperator<Impl> Matrix;

        SchurDifferentiableOperator (Matrix &Mat) : SchurDiagMooeeOperator<Matrix,FermionField>(Mat) {};

        void MpcDeriv(GaugeField &Force,const FermionField &U,const FermionField &V) {
        
          GridBase *fgrid   = this->_Mat.FermionGrid();
          GridBase *fcbgrid = this->_Mat.FermionRedBlackGrid();

          FermionField tmp1(fcbgrid);
          FermionField tmp2(fcbgrid);

          conformable(fcbgrid,U._grid);
          conformable(fcbgrid,V._grid);

          // Assert the checkerboard?? or code for either
          assert(U.checkerboard==Odd);
          assert(V.checkerboard==U.checkerboard);

          // NOTE Guido: WE DO NOT WANT TO USE THE ucbgrid GRID FOR THE FORCE
          // it is not conformable with the HMC force field
	  // Case: Ls vectorised fields
          // INHERIT FROM THE Force field instead
          GridRedBlackCartesian* forcecb = new GridRedBlackCartesian(Force._grid);
          GaugeField ForceO(forcecb);
          GaugeField ForceE(forcecb);


          //  X^dag Der_oe MeeInv Meo Y
          // Use Mooee as nontrivial but gauge field indept
          this->_Mat.Meooe   (V,tmp1);      // odd->even -- implicit -0.5 factor to be applied
	  this->_Mat.MooeeInv(tmp1,tmp2);   // even->even 
          this->_Mat.MoeDeriv(ForceO,U,tmp2,DaggerNo);
          //  Accumulate X^dag M_oe MeeInv Der_eo Y
          this->_Mat.MeooeDag   (U,tmp1);    // even->odd -- implicit -0.5 factor to be applied
          this->_Mat.MooeeInvDag(tmp1,tmp2); // even->even 
          this->_Mat.MeoDeriv(ForceE,tmp2,V,DaggerNo);
          
          assert(ForceE.checkerboard==Even);
          assert(ForceO.checkerboard==Odd);

          setCheckerboard(Force,ForceE); 
          setCheckerboard(Force,ForceO);
          Force=-Force;

          delete forcecb;
        }


        void MpcDagDeriv(GaugeField &Force,const FermionField &U,const FermionField &V) {
        
          GridBase *fgrid   = this->_Mat.FermionGrid();
          GridBase *fcbgrid = this->_Mat.FermionRedBlackGrid();

          FermionField tmp1(fcbgrid);
          FermionField tmp2(fcbgrid);

          conformable(fcbgrid,U._grid);
          conformable(fcbgrid,V._grid);

          // Assert the checkerboard?? or code for either
          assert(V.checkerboard==Odd);
          assert(V.checkerboard==V.checkerboard);

          // NOTE Guido: WE DO NOT WANT TO USE THE ucbgrid GRID FOR THE FORCE
          // it is not conformable with the HMC force field
          // INHERIT FROM THE Force field instead
	  GridRedBlackCartesian* forcecb = new GridRedBlackCartesian(Force._grid);
          GaugeField ForceO(forcecb);
          GaugeField ForceE(forcecb);

          //  X^dag Der_oe MeeInv Meo Y
          // Use Mooee as nontrivial but gauge field indept
          this->_Mat.MeooeDag   (V,tmp1);      // odd->even -- implicit -0.5 factor to be applied
          this->_Mat.MooeeInvDag(tmp1,tmp2);   // even->even 
          this->_Mat.MoeDeriv(ForceO,U,tmp2,DaggerYes);
          
          //  Accumulate X^dag M_oe MeeInv Der_eo Y
          this->_Mat.Meooe   (U,tmp1);    // even->odd -- implicit -0.5 factor to be applied
          this->_Mat.MooeeInv(tmp1,tmp2); // even->even 
          this->_Mat.MeoDeriv(ForceE,tmp2,V,DaggerYes);

          assert(ForceE.checkerboard==Even);
          assert(ForceO.checkerboard==Odd);

          setCheckerboard(Force,ForceE); 
          setCheckerboard(Force,ForceO);
          Force=-Force;

          delete forcecb;
        }

    };


  }
}
#endif