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