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Grid/lib/qcd/action/fermion/CayleyFermion5Dssp.cc

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/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/qcd/action/fermion/CayleyFermion5D.cc
Copyright (C) 2015
Author: Peter Boyle <pabobyle@ph.ed.ac.uk>
Author: Peter Boyle <paboyle@ph.ed.ac.uk>
Author: Peter Boyle <peterboyle@Peters-MacBook-Pro-2.local>
Author: paboyle <paboyle@ph.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
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*************************************************************************************/
/* END LEGAL */
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#include <Grid/qcd/action/fermion/FermionCore.h>
#include <Grid/qcd/action/fermion/CayleyFermion5D.h>
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NAMESPACE_BEGIN(Grid);
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// Pminus fowards
// Pplus backwards
template<class Impl>
void CayleyFermion5D<Impl>::M5D(const FermionField &psi,
const FermionField &phi,
FermionField &chi,
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std::vector<Coeff_t> &lower,
std::vector<Coeff_t> &diag,
std::vector<Coeff_t> &upper)
{
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Coeff_t one(1.0);
int Ls=this->Ls;
for(int s=0;s<Ls;s++){
if ( s==0 ) {
axpby_ssp_pminus(chi,diag[s],phi,upper[s],psi,s,s+1);
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axpby_ssp_pplus (chi,one,chi,lower[s],psi,s,Ls-1);
} else if ( s==(Ls-1)) {
axpby_ssp_pminus(chi,diag[s],phi,upper[s],psi,s,0);
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axpby_ssp_pplus (chi,one,chi,lower[s],psi,s,s-1);
} else {
axpby_ssp_pminus(chi,diag[s],phi,upper[s],psi,s,s+1);
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axpby_ssp_pplus(chi,one,chi,lower[s],psi,s,s-1);
}
}
}
template<class Impl>
void CayleyFermion5D<Impl>::M5Ddag(const FermionField &psi,
const FermionField &phi,
FermionField &chi,
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std::vector<Coeff_t> &lower,
std::vector<Coeff_t> &diag,
std::vector<Coeff_t> &upper)
{
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Coeff_t one(1.0);
int Ls=this->Ls;
for(int s=0;s<Ls;s++){
if ( s==0 ) {
axpby_ssp_pplus (chi,diag[s],phi,upper[s],psi,s,s+1);
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axpby_ssp_pminus(chi,one,chi,lower[s],psi,s,Ls-1);
} else if ( s==(Ls-1)) {
axpby_ssp_pplus (chi,diag[s],phi,upper[s],psi,s,0);
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axpby_ssp_pminus(chi,one,chi,lower[s],psi,s,s-1);
} else {
axpby_ssp_pplus (chi,diag[s],phi,upper[s],psi,s,s+1);
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axpby_ssp_pminus(chi,one,chi,lower[s],psi,s,s-1);
}
}
}
template<class Impl>
void CayleyFermion5D<Impl>::MooeeInv (const FermionField &psi, FermionField &chi)
{
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Coeff_t one(1.0);
Coeff_t czero(0.0);
chi.checkerboard=psi.checkerboard;
int Ls=this->Ls;
// Apply (L^{\prime})^{-1}
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axpby_ssp (chi,one,psi, czero,psi,0,0); // chi[0]=psi[0]
for (int s=1;s<Ls;s++){
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axpby_ssp_pplus(chi,one,psi,-lee[s-1],chi,s,s-1);// recursion Psi[s] -lee P_+ chi[s-1]
}
// L_m^{-1}
for (int s=0;s<Ls-1;s++){ // Chi[ee] = 1 - sum[s<Ls-1] -leem[s]P_- chi
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axpby_ssp_pminus(chi,one,chi,-leem[s],chi,Ls-1,s);
}
// U_m^{-1} D^{-1}
for (int s=0;s<Ls-1;s++){
// Chi[s] + 1/d chi[s]
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axpby_ssp_pplus(chi,one/dee[s],chi,-ueem[s]/dee[Ls-1],chi,s,Ls-1);
}
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axpby_ssp(chi,one/dee[Ls-1],chi,czero,chi,Ls-1,Ls-1); // Modest avoidable
// Apply U^{-1}
for (int s=Ls-2;s>=0;s--){
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axpby_ssp_pminus (chi,one,chi,-uee[s],chi,s,s+1); // chi[Ls]
}
}
template<class Impl>
void CayleyFermion5D<Impl>::MooeeInvDag (const FermionField &psi, FermionField &chi)
{
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Coeff_t one(1.0);
Coeff_t czero(0.0);
chi.checkerboard=psi.checkerboard;
int Ls=this->Ls;
// Apply (U^{\prime})^{-dagger}
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axpby_ssp (chi,one,psi, czero,psi,0,0); // chi[0]=psi[0]
for (int s=1;s<Ls;s++){
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axpby_ssp_pminus(chi,one,psi,-conjugate(uee[s-1]),chi,s,s-1);
}
// U_m^{-\dagger}
for (int s=0;s<Ls-1;s++){
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axpby_ssp_pplus(chi,one,chi,-conjugate(ueem[s]),chi,Ls-1,s);
}
// L_m^{-\dagger} D^{-dagger}
for (int s=0;s<Ls-1;s++){
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axpby_ssp_pminus(chi,one/conjugate(dee[s]),chi,-conjugate(leem[s]/dee[Ls-1]),chi,s,Ls-1);
}
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axpby_ssp(chi,one/conjugate(dee[Ls-1]),chi,czero,chi,Ls-1,Ls-1); // Modest avoidable
// Apply L^{-dagger}
for (int s=Ls-2;s>=0;s--){
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axpby_ssp_pplus (chi,one,chi,-conjugate(lee[s]),chi,s,s+1); // chi[Ls]
}
}
#ifdef CAYLEY_DPERP_LINALG
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INSTANTIATE_DPERP(WilsonImplF);
INSTANTIATE_DPERP(WilsonImplD);
INSTANTIATE_DPERP(GparityWilsonImplF);
INSTANTIATE_DPERP(GparityWilsonImplD);
INSTANTIATE_DPERP(ZWilsonImplF);
INSTANTIATE_DPERP(ZWilsonImplD);
INSTANTIATE_DPERP(WilsonImplFH);
INSTANTIATE_DPERP(WilsonImplDF);
INSTANTIATE_DPERP(GparityWilsonImplFH);
INSTANTIATE_DPERP(GparityWilsonImplDF);
INSTANTIATE_DPERP(ZWilsonImplFH);
INSTANTIATE_DPERP(ZWilsonImplDF);
#endif
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NAMESPACE_END(Grid);