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131 lines
4.4 KiB
C++
131 lines
4.4 KiB
C++
/*************************************************************************************
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Grid physics library, www.github.com/paboyle/Grid
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Source file: ./lib/qcd/utils/CovariantCshift.h
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Copyright (C) 2015
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Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
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Author: paboyle <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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#ifndef QCD_UTILS_COVARIANT_CSHIFT_H
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#define QCD_UTILS_COVARIANT_CSHIFT_H
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namespace Grid {
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namespace QCD {
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////////////////////////////////////////////////////////////////////////
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// Low performance implementation of CovariantCshift API
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////////////////////////////////////////////////////////////////////////
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// Make these members of an Impl class for BC's.
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namespace PeriodicBC {
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template<class covariant,class gauge> Lattice<covariant> CovShiftForward(const Lattice<gauge> &Link,
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int mu,
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const Lattice<covariant> &field)
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{
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return Link*Cshift(field,mu,1);// moves towards negative mu
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}
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template<class covariant,class gauge> Lattice<covariant> CovShiftBackward(const Lattice<gauge> &Link,
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int mu,
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const Lattice<covariant> &field)
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{
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Lattice<covariant> tmp(field._grid);
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tmp = adj(Link)*field;
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return Cshift(tmp,mu,-1);// moves towards positive mu
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}
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}
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namespace ConjugateBC {
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// Must give right answers across boundary
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// <----
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// --
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// | |
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// xxxxxxxxxxxxxxxxxxxx
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// | |
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//
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// Stap= Cshift(GImpl::CovShiftForward(U[nu],nu,
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// GImpl::CovShiftForward(U[nu],nu,
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// GImpl::CovShiftBackward(U[mu],mu,
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// GImpl::CovShiftBackward(U[nu],nu,
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// GImpl::CovShiftIdentityBackward(U[nu],nu,-1))))) , mu, 1);
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//
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// U U^* U^* U^T U^adj = U (U U U^dag U^T )^*
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// = U (U U U^dag)^* ( U^T )^*
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//
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// So covariant shift rule: conjugate inward shifted plane when crossing boundary applies.
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//
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// This conjugate should be applied to BOTH the link and the covariant field on backward shift
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// boundary wrap.
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//
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// | |
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// xxxxxxxxxxxxxxxxx
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// | | <---- this link is conjugated, and the path leading into it. Segment crossing in and out is double conjugated.
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// --
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// ------->
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template<class covariant,class gauge> Lattice<covariant> CovShiftForward(const Lattice<gauge> &Link,
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int mu,
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const Lattice<covariant> &field)
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{
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GridBase * grid = Link._grid;
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int Lmu = grid->GlobalDimensions()[mu]-1;
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conformable(field,Link);
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Lattice<iScalar<vInteger> > coor(grid); LatticeCoordinate(coor,mu);
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Lattice<covariant> field_bc = Cshift(field,mu,1);// moves towards negative mu;
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field_bc = where(coor==Lmu,conjugate(field_bc),field_bc);
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// std::cout<<"Gparity::CovCshiftForward mu="<<mu<<std::endl;
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return Link*field_bc;
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}
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template<class covariant,class gauge> Lattice<covariant> CovShiftBackward(const Lattice<gauge> &Link,
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int mu,
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const Lattice<covariant> &field)
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{
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GridBase * grid = field._grid;
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int Lmu = grid->GlobalDimensions()[mu]-1;
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conformable(field,Link);
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Lattice<iScalar<vInteger> > coor(grid); LatticeCoordinate(coor,mu);
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Lattice<covariant> tmp(grid);
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tmp = adj(Link)*field;
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tmp = where(coor==Lmu,conjugate(tmp),tmp);
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// std::cout<<"Gparity::CovCshiftBackward mu="<<mu<<std::endl;
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return Cshift(tmp,mu,-1);// moves towards positive mu
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}
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}
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}}
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#endif
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