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79a8ca1a62
Grid/lib/qcd/action/fermion/CayleyFermion5D.cc
paboyle 79a8ca1a62 Rewrite for performance. Impl dependent instantiations give 
4d linalg impls of the 5d hopping terms (and inverse)
Cache friendly loop orderings of the above
Dense matrix stored and apply to the above

-- Switch to Ls vectorised, and use dense matrix approach for the MooeeInv
   and rotate/shift of the Mooee M5D routines.
2016-07-14 23:58:15 +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<RealD> diag (Ls,1.0);
std::vector<RealD> upper(Ls,-1.0); upper[Ls-1]=mass;
std::vector<RealD> 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<RealD> diag = bs;
std::vector<RealD> upper= cs;
std::vector<RealD> 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<RealD> diag = beo;
std::vector<RealD> upper(Ls);
std::vector<RealD> 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<RealD> diag = bee;
std::vector<RealD> upper(Ls);
std::vector<RealD> 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<RealD> diag = bee;
std::vector<RealD> upper(Ls);
std::vector<RealD> 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<RealD> diag(Ls,1.0);
std::vector<RealD> upper(Ls,-1.0);
std::vector<RealD> 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<RealD> diag =bs;
std::vector<RealD> upper=cs;
std::vector<RealD> 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)
{
SetCoefficientsZolotarev(1.0,zdata,b,c);
}
//Zolo
template<class Impl>
void CayleyFermion5D<Impl>::SetCoefficientsZolotarev(RealD zolo_hi,Approx::zolotarev_data *zdata,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] = ((double)zdata->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;
}
}
{
double 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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