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Grid/lib/qcd/action/fermion/CayleyFermion5D.cc
paboyle 90e70790f3 Feature for z-Mobius prep
2016-08-15 22:31:29 +01:00

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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
*************************************************************************************/
/* END LEGAL */
#include <Grid.h>
namespace Grid {
namespace QCD {
template<class Impl>
CayleyFermion5D<Impl>::CayleyFermion5D(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)
{ }
template<class Impl>
void CayleyFermion5D<Impl>::M5D (const FermionField &psi, FermionField &chi)
{
int Ls=this->Ls;
std::vector<Coeff_t> diag (Ls,1.0);
std::vector<Coeff_t> upper(Ls,-1.0); upper[Ls-1]=mass;
std::vector<Coeff_t> lower(Ls,-1.0); lower[0] =mass;
M5D(psi,chi,chi,lower,diag,upper);
}
template<class Impl>
void CayleyFermion5D<Impl>::Meooe5D (const FermionField &psi, FermionField &Din)
{
int Ls=this->Ls;
std::vector<Coeff_t> diag = bs;
std::vector<Coeff_t> upper= cs;
std::vector<Coeff_t> lower= cs;
upper[Ls-1]=-mass*upper[Ls-1];
lower[0] =-mass*lower[0];
M5D(psi,psi,Din,lower,diag,upper);
}
template<class Impl> void CayleyFermion5D<Impl>::Meo5D (const FermionField &psi, FermionField &chi)
{
int Ls=this->Ls;
std::vector<Coeff_t> diag = beo;
std::vector<Coeff_t> upper(Ls);
std::vector<Coeff_t> lower(Ls);
for(int i=0;i<Ls;i++) {
upper[i]=-ceo[i];
lower[i]=-ceo[i];
}
upper[Ls-1]=-mass*upper[Ls-1];
lower[0] =-mass*lower[0];
M5D(psi,psi,chi,lower,diag,upper);
}
template<class Impl>
void CayleyFermion5D<Impl>::Mooee (const FermionField &psi, FermionField &chi)
{
int Ls=this->Ls;
std::vector<Coeff_t> diag = bee;
std::vector<Coeff_t> upper(Ls);
std::vector<Coeff_t> lower(Ls);
for(int i=0;i<Ls;i++) {
upper[i]=-cee[i];
lower[i]=-cee[i];
}
upper[Ls-1]=-mass*upper[Ls-1];
lower[0] =-mass*lower[0];
M5D(psi,psi,chi,lower,diag,upper);
}
template<class Impl>
void CayleyFermion5D<Impl>::MooeeDag (const FermionField &psi, FermionField &chi)
{
int Ls=this->Ls;
std::vector<Coeff_t> diag = bee;
std::vector<Coeff_t> upper(Ls);
std::vector<Coeff_t> lower(Ls);
for (int s=0;s<Ls;s++){
// Assemble the 5d matrix
if ( s==0 ) {
upper[s] = -cee[s+1] ;
lower[s] = mass*cee[Ls-1];
} else if ( s==(Ls-1)) {
upper[s] = mass*cee[0];
lower[s] = -cee[s-1];
} else {
upper[s]=-cee[s+1];
lower[s]=-cee[s-1];
}
}
M5Ddag(psi,psi,chi,lower,diag,upper);
}
template<class Impl>
void CayleyFermion5D<Impl>::M5Ddag (const FermionField &psi, FermionField &chi)
{
int Ls=this->Ls;
std::vector<Coeff_t> diag(Ls,1.0);
std::vector<Coeff_t> upper(Ls,-1.0);
std::vector<Coeff_t> lower(Ls,-1.0);
upper[Ls-1]=-mass*upper[Ls-1];
lower[0] =-mass*lower[0];
M5Ddag(psi,chi,chi,lower,diag,upper);
}
template<class Impl>
void CayleyFermion5D<Impl>::MeooeDag5D (const FermionField &psi, FermionField &Din)
{
int Ls=this->Ls;
std::vector<Coeff_t> diag =bs;
std::vector<Coeff_t> upper=cs;
std::vector<Coeff_t> lower=cs;
upper[Ls-1]=-mass*upper[Ls-1];
lower[0] =-mass*lower[0];
M5Ddag(psi,psi,Din,lower,diag,upper);
}
template<class Impl>
RealD CayleyFermion5D<Impl>::M (const FermionField &psi, FermionField &chi)
{
int Ls=this->Ls;
FermionField Din(psi._grid);
// Assemble Din
Meooe5D(psi,Din);
this->DW(Din,chi,DaggerNo);
// ((b D_W + D_w hop terms +1) on s-diag
axpby(chi,1.0,1.0,chi,psi);
M5D(psi,chi);
return(norm2(chi));
}
template<class Impl>
RealD CayleyFermion5D<Impl>::Mdag (const FermionField &psi, FermionField &chi)
{
// Under adjoint
//D1+ D1- P- -> D1+^dag P+ D2-^dag
//D2- P+ D2+ P-D1-^dag D2+dag
FermionField Din(psi._grid);
// Apply Dw
this->DW(psi,Din,DaggerYes);
MeooeDag5D(Din,chi);
M5Ddag(psi,chi);
// ((b D_W + D_w hop terms +1) on s-diag
axpby (chi,1.0,1.0,chi,psi);
return norm2(chi);
}
// half checkerboard operations
template<class Impl>
void CayleyFermion5D<Impl>::Meooe (const FermionField &psi, FermionField &chi)
{
int Ls=this->Ls;
FermionField tmp(psi._grid);
Meooe5D(psi,tmp);
if ( psi.checkerboard == Odd ) {
this->DhopEO(tmp,chi,DaggerNo);
} else {
this->DhopOE(tmp,chi,DaggerNo);
}
}
template<class Impl>
void CayleyFermion5D<Impl>::MeooeDag (const FermionField &psi, FermionField &chi)
{
FermionField tmp(psi._grid);
// Apply 4d dslash
if ( psi.checkerboard == Odd ) {
this->DhopEO(psi,tmp,DaggerYes);
} else {
this->DhopOE(psi,tmp,DaggerYes);
}
MeooeDag5D(tmp,chi);
}
template<class Impl>
void CayleyFermion5D<Impl>::Mdir (const FermionField &psi, FermionField &chi,int dir,int disp){
FermionField tmp(psi._grid);
Meo5D(psi,tmp);
// Apply 4d dslash fragment
this->DhopDir(tmp,chi,dir,disp);
}
// force terms; five routines; default to Dhop on diagonal
template<class Impl>
void CayleyFermion5D<Impl>::MDeriv (GaugeField &mat,const FermionField &U,const FermionField &V,int dag)
{
FermionField Din(V._grid);
if ( dag == DaggerNo ) {
// U d/du [D_w D5] V = U d/du DW D5 V
Meooe5D(V,Din);
this->DhopDeriv(mat,U,Din,dag);
} else {
// U d/du [D_w D5]^dag V = U D5^dag d/du DW^dag Y // implicit adj on U in call
Meooe5D(U,Din);
this->DhopDeriv(mat,Din,V,dag);
}
};
template<class Impl>
void CayleyFermion5D<Impl>::MoeDeriv(GaugeField &mat,const FermionField &U,const FermionField &V,int dag)
{
FermionField Din(V._grid);
if ( dag == DaggerNo ) {
// U d/du [D_w D5] V = U d/du DW D5 V
Meooe5D(V,Din);
this->DhopDerivOE(mat,U,Din,dag);
} else {
// U d/du [D_w D5]^dag V = U D5^dag d/du DW^dag Y // implicit adj on U in call
Meooe5D(U,Din);
this->DhopDerivOE(mat,Din,V,dag);
}
};
template<class Impl>
void CayleyFermion5D<Impl>::MeoDeriv(GaugeField &mat,const FermionField &U,const FermionField &V,int dag)
{
FermionField Din(V._grid);
if ( dag == DaggerNo ) {
// U d/du [D_w D5] V = U d/du DW D5 V
Meooe5D(V,Din);
this->DhopDerivEO(mat,U,Din,dag);
} else {
// U d/du [D_w D5]^dag V = U D5^dag d/du DW^dag Y // implicit adj on U in call
Meooe5D(U,Din);
this->DhopDerivEO(mat,Din,V,dag);
}
};
// Tanh
template<class Impl>
void CayleyFermion5D<Impl>::SetCoefficientsTanh(Approx::zolotarev_data *zdata,RealD b,RealD c)
{
std::vector<Coeff_t> gamma(this->Ls);
for(int s=0;s<this->Ls;s++) gamma[s] = zdata->gamma[s];
SetCoefficientsInternal(1.0,gamma,b,c);
}
//Zolo
template<class Impl>
void CayleyFermion5D<Impl>::SetCoefficientsZolotarev(RealD zolo_hi,Approx::zolotarev_data *zdata,RealD b,RealD c)
{
std::vector<Coeff_t> gamma(this->Ls);
for(int s=0;s<this->Ls;s++) gamma[s] = zdata->gamma[s];
SetCoefficientsInternal(zolo_hi,gamma,b,c);
}
//Zolo
template<class Impl>
void CayleyFermion5D<Impl>::SetCoefficientsInternal(RealD zolo_hi,std::vector<Coeff_t> & gamma,RealD b,RealD c)
{
int Ls=this->Ls;
///////////////////////////////////////////////////////////
// The Cayley coeffs (unprec)
///////////////////////////////////////////////////////////
omega.resize(Ls);
bs.resize(Ls);
cs.resize(Ls);
as.resize(Ls);
//
// Ts = ( [bs+cs]Dw )^-1 ( (bs+cs) Dw )
// -(g5 ------- -1 ) ( g5 --------- + 1 )
// ( {2+(bs-cs)Dw} ) ( 2+(bs-cs) Dw )
//
// bs = 1/2( (1/omega_s + 1)*b + (1/omega - 1)*c ) = 1/2( 1/omega(b+c) + (b-c) )
// cs = 1/2( (1/omega_s - 1)*b + (1/omega + 1)*c ) = 1/2( 1/omega(b+c) - (b-c) )
//
// bs+cs = 0.5*( 1/omega(b+c) + (b-c) + 1/omega(b+c) - (b-c) ) = 1/omega(b+c)
// bs-cs = 0.5*( 1/omega(b+c) + (b-c) - 1/omega(b+c) + (b-c) ) = b-c
//
// So
//
// Ts = ( [b+c]Dw/omega_s )^-1 ( (b+c) Dw /omega_s )
// -(g5 ------- -1 ) ( g5 --------- + 1 )
// ( {2+(b-c)Dw} ) ( 2+(b-c) Dw )
//
// Ts = ( [b+c]Dw )^-1 ( (b+c) Dw )
// -(g5 ------- -omega_s) ( g5 --------- + omega_s )
// ( {2+(b-c)Dw} ) ( 2+(b-c) Dw )
//
double bpc = b+c;
double bmc = b-c;
for(int i=0; i < Ls; i++){
as[i] = 1.0;
omega[i] = gamma[i]*zolo_hi; //NB reciprocal relative to Chroma NEF code
bs[i] = 0.5*(bpc/omega[i] + bmc);
cs[i] = 0.5*(bpc/omega[i] - bmc);
}
////////////////////////////////////////////////////////
// Constants for the preconditioned matrix Cayley form
////////////////////////////////////////////////////////
bee.resize(Ls);
cee.resize(Ls);
beo.resize(Ls);
ceo.resize(Ls);
for(int i=0;i<Ls;i++){
bee[i]=as[i]*(bs[i]*(4.0-this->M5) +1.0);
cee[i]=as[i]*(1.0-cs[i]*(4.0-this->M5));
beo[i]=as[i]*bs[i];
ceo[i]=-as[i]*cs[i];
}
aee.resize(Ls);
aeo.resize(Ls);
for(int i=0;i<Ls;i++){
aee[i]=cee[i];
aeo[i]=ceo[i];
}
//////////////////////////////////////////
// LDU decomposition of eeoo
//////////////////////////////////////////
dee.resize(Ls);
lee.resize(Ls);
leem.resize(Ls);
uee.resize(Ls);
ueem.resize(Ls);
for(int i=0;i<Ls;i++){
dee[i] = bee[i];
if ( i < Ls-1 ) {
lee[i] =-cee[i+1]/bee[i]; // sub-diag entry on the ith column
leem[i]=mass*cee[Ls-1]/bee[0];
for(int j=0;j<i;j++) leem[i]*= aee[j]/bee[j+1];
uee[i] =-aee[i]/bee[i]; // up-diag entry on the ith row
ueem[i]=mass;
for(int j=1;j<=i;j++) ueem[i]*= cee[j]/bee[j];
ueem[i]*= aee[0]/bee[0];
} else {
lee[i] =0.0;
leem[i]=0.0;
uee[i] =0.0;
ueem[i]=0.0;
}
}
{
Coeff_t delta_d=mass*cee[Ls-1];
for(int j=0;j<Ls-1;j++) delta_d *= cee[j]/bee[j];
dee[Ls-1] += delta_d;
}
}
FermOpTemplateInstantiate(CayleyFermion5D);
GparityFermOpTemplateInstantiate(CayleyFermion5D);
}}
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