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Grid/lib/qcd/action/fermion/ContinuedFractionFermion5D.cc

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/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/qcd/action/fermion/ContinuedFractionFermion5D.cc
Copyright (C) 2015
Author: Peter Boyle <pabobyle@ph.ed.ac.uk>
Author: Peter Boyle <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
*************************************************************************************/
/* END LEGAL */
#include <Grid.h>
namespace Grid {
namespace QCD {
template<class Impl>
void ContinuedFractionFermion5D<Impl>::SetCoefficientsTanh(Approx::zolotarev_data *zdata,RealD scale)
{
SetCoefficientsZolotarev(1.0/scale,zdata);
}
template<class Impl>
void ContinuedFractionFermion5D<Impl>::SetCoefficientsZolotarev(RealD zolo_hi,Approx::zolotarev_data *zdata)
{
// How to check Ls matches??
// std::cout<<GridLogMessage << Ls << " Ls"<<std::endl;
// std::cout<<GridLogMessage << zdata->n << " - n"<<std::endl;
// std::cout<<GridLogMessage << zdata->da << " -da "<<std::endl;
// std::cout<<GridLogMessage << zdata->db << " -db"<<std::endl;
// std::cout<<GridLogMessage << zdata->dn << " -dn"<<std::endl;
// std::cout<<GridLogMessage << zdata->dd << " -dd"<<std::endl;
int Ls = this->Ls;
assert(zdata->db==Ls);// Beta has Ls coeffs
R=(1+this->mass)/(1-this->mass);
Beta.resize(Ls);
cc.resize(Ls);
cc_d.resize(Ls);
sqrt_cc.resize(Ls);
for(int i=0; i < Ls ; i++){
Beta[i] = zdata -> beta[i];
cc[i] = 1.0/Beta[i];
cc_d[i]=sqrt(cc[i]);
}
cc_d[Ls-1]=1.0;
for(int i=0; i < Ls-1 ; i++){
sqrt_cc[i]= sqrt(cc[i]*cc[i+1]);
}
sqrt_cc[Ls-2]=sqrt(cc[Ls-2]);
ZoloHiInv =1.0/zolo_hi;
dw_diag = (4.0-this->M5)*ZoloHiInv;
See.resize(Ls);
Aee.resize(Ls);
int sign=1;
for(int s=0;s<Ls;s++){
Aee[s] = sign * Beta[s] * dw_diag;
sign = - sign;
}
Aee[Ls-1] += R;
See[0] = Aee[0];
for(int s=1;s<Ls;s++){
See[s] = Aee[s] - 1.0/See[s-1];
}
for(int s=0;s<Ls;s++){
std::cout<<GridLogMessage <<"s = "<<s<<" Beta "<<Beta[s]<<" Aee "<<Aee[s] <<" See "<<See[s] <<std::endl;
}
}
template<class Impl>
RealD ContinuedFractionFermion5D<Impl>::M (const FermionField &psi, FermionField &chi)
{
int Ls = this->Ls;
FermionField D(psi._grid);
this->DW(psi,D,DaggerNo);
int sign=1;
for(int s=0;s<Ls;s++){
if ( s==0 ) {
ag5xpby_ssp(chi,cc[0]*Beta[0]*sign*ZoloHiInv,D,sqrt_cc[0],psi,s,s+1); // Multiplies Dw by G5 so Hw
} else if ( s==(Ls-1) ){
RealD R=(1.0+mass)/(1.0-mass);
ag5xpby_ssp(chi,Beta[s]*ZoloHiInv,D,sqrt_cc[s-1],psi,s,s-1);
ag5xpby_ssp(chi,R,psi,1.0,chi,s,s);
} else {
ag5xpby_ssp(chi,cc[s]*Beta[s]*sign*ZoloHiInv,D,sqrt_cc[s],psi,s,s+1);
axpby_ssp(chi,1.0,chi,sqrt_cc[s-1],psi,s,s-1);
}
sign=-sign;
}
return norm2(chi);
}
template<class Impl>
RealD ContinuedFractionFermion5D<Impl>::Mdag (const FermionField &psi, FermionField &chi)
{
// This matrix is already hermitian. (g5 Dw) = Dw dag g5 = (g5 Dw)dag
// The rest of matrix is symmetric.
// Can ignore "dag"
return M(psi,chi);
}
template<class Impl>
void ContinuedFractionFermion5D<Impl>::Mdir (const FermionField &psi, FermionField &chi,int dir,int disp){
int Ls = this->Ls;
this->DhopDir(psi,chi,dir,disp); // Dslash on diagonal. g5 Dslash is hermitian
int sign=1;
for(int s=0;s<Ls;s++){
if ( s==(Ls-1) ){
ag5xpby_ssp(chi,Beta[s]*ZoloHiInv,chi,0.0,chi,s,s);
} else {
ag5xpby_ssp(chi,cc[s]*Beta[s]*sign*ZoloHiInv,chi,0.0,chi,s,s);
}
sign=-sign;
}
}
template<class Impl>
void ContinuedFractionFermion5D<Impl>::Meooe (const FermionField &psi, FermionField &chi)
{
int Ls = this->Ls;
// Apply 4d dslash
if ( psi.checkerboard == Odd ) {
this->DhopEO(psi,chi,DaggerNo); // Dslash on diagonal. g5 Dslash is hermitian
} else {
this->DhopOE(psi,chi,DaggerNo); // Dslash on diagonal. g5 Dslash is hermitian
}
int sign=1;
for(int s=0;s<Ls;s++){
if ( s==(Ls-1) ){
ag5xpby_ssp(chi,Beta[s]*ZoloHiInv,chi,0.0,chi,s,s);
} else {
ag5xpby_ssp(chi,cc[s]*Beta[s]*sign*ZoloHiInv,chi,0.0,chi,s,s);
}
sign=-sign;
}
}
template<class Impl>
void ContinuedFractionFermion5D<Impl>::MeooeDag (const FermionField &psi, FermionField &chi)
{
this->Meooe(psi,chi);
}
template<class Impl>
void ContinuedFractionFermion5D<Impl>::Mooee (const FermionField &psi, FermionField &chi)
{
int Ls = this->Ls;
int sign=1;
for(int s=0;s<Ls;s++){
if ( s==0 ) {
ag5xpby_ssp(chi,cc[0]*Beta[0]*sign*dw_diag,psi,sqrt_cc[0],psi,s,s+1); // Multiplies Dw by G5 so Hw
} else if ( s==(Ls-1) ){
// Drop the CC here.
double R=(1+mass)/(1-mass);
ag5xpby_ssp(chi,Beta[s]*dw_diag,psi,sqrt_cc[s-1],psi,s,s-1);
ag5xpby_ssp(chi,R,psi,1.0,chi,s,s);
} else {
ag5xpby_ssp(chi,cc[s]*Beta[s]*sign*dw_diag,psi,sqrt_cc[s],psi,s,s+1);
axpby_ssp(chi,1.0,chi,sqrt_cc[s-1],psi,s,s-1);
}
sign=-sign;
}
}
template<class Impl>
void ContinuedFractionFermion5D<Impl>::MooeeDag (const FermionField &psi, FermionField &chi)
{
this->Mooee(psi,chi);
}
template<class Impl>
void ContinuedFractionFermion5D<Impl>::MooeeInv (const FermionField &psi, FermionField &chi)
{
int Ls = this->Ls;
// Apply Linv
axpby_ssp(chi,1.0/cc_d[0],psi,0.0,psi,0,0);
for(int s=1;s<Ls;s++){
axpbg5y_ssp(chi,1.0/cc_d[s],psi,-1.0/See[s-1],chi,s,s-1);
}
// Apply Dinv
for(int s=0;s<Ls;s++){
ag5xpby_ssp(chi,1.0/See[s],chi,0.0,chi,s,s); //only appearance of See[0]
}
// Apply Uinv = (Linv)^T
axpby_ssp(chi,1.0/cc_d[Ls-1],chi,0.0,chi,Ls-1,Ls-1);
for(int s=Ls-2;s>=0;s--){
axpbg5y_ssp(chi,1.0/cc_d[s],chi,-1.0*cc_d[s+1]/See[s]/cc_d[s],chi,s,s+1);
}
}
template<class Impl>
void ContinuedFractionFermion5D<Impl>::MooeeInvDag (const FermionField &psi, FermionField &chi)
{
this->MooeeInv(psi,chi);
}
// force terms; five routines; default to Dhop on diagonal
template<class Impl>
void ContinuedFractionFermion5D<Impl>::MDeriv (GaugeField &mat,const FermionField &U,const FermionField &V,int dag)
{
int Ls = this->Ls;
FermionField D(V._grid);
int sign=1;
for(int s=0;s<Ls;s++){
if ( s==(Ls-1) ){
ag5xpby_ssp(D,Beta[s]*ZoloHiInv,U,0.0,U,s,s);
} else {
ag5xpby_ssp(D,cc[s]*Beta[s]*sign*ZoloHiInv,U,0.0,U,s,s);
}
sign=-sign;
}
this->DhopDeriv(mat,D,V,DaggerNo);
};
template<class Impl>
void ContinuedFractionFermion5D<Impl>::MoeDeriv(GaugeField &mat,const FermionField &U,const FermionField &V,int dag)
{
int Ls = this->Ls;
FermionField D(V._grid);
int sign=1;
for(int s=0;s<Ls;s++){
if ( s==(Ls-1) ){
ag5xpby_ssp(D,Beta[s]*ZoloHiInv,U,0.0,U,s,s);
} else {
ag5xpby_ssp(D,cc[s]*Beta[s]*sign*ZoloHiInv,U,0.0,U,s,s);
}
sign=-sign;
}
this->DhopDerivOE(mat,D,V,DaggerNo);
};
template<class Impl>
void ContinuedFractionFermion5D<Impl>::MeoDeriv(GaugeField &mat,const FermionField &U,const FermionField &V,int dag)
{
int Ls = this->Ls;
FermionField D(V._grid);
int sign=1;
for(int s=0;s<Ls;s++){
if ( s==(Ls-1) ){
ag5xpby_ssp(D,Beta[s]*ZoloHiInv,U,0.0,U,s,s);
} else {
ag5xpby_ssp(D,cc[s]*Beta[s]*sign*ZoloHiInv,U,0.0,U,s,s);
}
sign=-sign;
}
this->DhopDerivEO(mat,D,V,DaggerNo);
};
// Constructors
template<class Impl>
ContinuedFractionFermion5D<Impl>::ContinuedFractionFermion5D(
GaugeField &_Umu,
GridCartesian &FiveDimGrid,
GridRedBlackCartesian &FiveDimRedBlackGrid,
GridCartesian &FourDimGrid,
GridRedBlackCartesian &FourDimRedBlackGrid,
RealD _mass,RealD M5,const ImplParams &p) :
WilsonFermion5D<Impl>(_Umu,
FiveDimGrid, FiveDimRedBlackGrid,
FourDimGrid, FourDimRedBlackGrid,M5,p),
mass(_mass)
{
int Ls = this->Ls;
assert((Ls&0x1)==1); // Odd Ls required
}
FermOpTemplateInstantiate(ContinuedFractionFermion5D);
}
}
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