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Grid/lib/qcd/action/fermion/CayleyFermion5D.cc
paboyle ef97e32152 Adding persistent communicators
2016-07-08 17:16:08 +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/Eigen/Dense>
#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>::Meooe5D (const FermionField &psi, FermionField &Din)
{
// Assemble Din
int Ls=this->Ls;
for(int s=0;s<Ls;s++){
if ( s==0 ) {
// Din = bs psi[s] + cs[s] psi[s+1}
axpby_ssp_pminus(Din,bs[s],psi,cs[s],psi,s,s+1);
// Din+= -mass*cs[s] psi[s+1}
axpby_ssp_pplus (Din,1.0,Din,-mass*cs[s],psi,s,Ls-1);
} else if ( s==(Ls-1)) {
axpby_ssp_pminus(Din,bs[s],psi,-mass*cs[s],psi,s,0);
axpby_ssp_pplus (Din,1.0,Din,cs[s],psi,s,s-1);
} else {
axpby_ssp_pminus(Din,bs[s],psi,cs[s],psi,s,s+1);
axpby_ssp_pplus(Din,1.0,Din,cs[s],psi,s,s-1);
}
}
}
template<class Impl>
void CayleyFermion5D<Impl>::MeooeDag5D (const FermionField &psi, FermionField &Din)
{
int Ls=this->Ls;
for(int s=0;s<Ls;s++){
if ( s==0 ) {
axpby_ssp_pplus (Din,bs[s],psi,cs[s+1],psi,s,s+1);
axpby_ssp_pminus(Din,1.0,Din,-mass*cs[Ls-1],psi,s,Ls-1);
} else if ( s==(Ls-1)) {
axpby_ssp_pplus (Din,bs[s],psi,-mass*cs[0],psi,s,0);
axpby_ssp_pminus(Din,1.0,Din,cs[s-1],psi,s,s-1);
} else {
axpby_ssp_pplus (Din,bs[s],psi,cs[s+1],psi,s,s+1);
axpby_ssp_pminus(Din,1.0,Din,cs[s-1],psi,s,s-1);
}
}
}
// override multiply
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);
// Call Mooee??
for(int s=0;s<Ls;s++){
if ( s==0 ){
axpby_ssp_pminus(chi,1.0,chi,-1.0,psi,s,s+1);
axpby_ssp_pplus (chi,1.0,chi,mass,psi,s,Ls-1);
} else if ( s==(Ls-1)) {
axpby_ssp_pminus(chi,1.0,chi,mass,psi,s,0);
axpby_ssp_pplus (chi,1.0,chi,-1.0,psi,s,s-1);
} else {
axpby_ssp_pminus(chi,1.0,chi,-1.0,psi,s,s+1);
axpby_ssp_pplus (chi,1.0,chi,-1.0,psi,s,s-1);
}
}
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);
int Ls=this->Ls;
for(int s=0;s<Ls;s++){
// Collect the terms in DW
// Chi = bs Din[s] + cs[s] Din[s+1}
// Chi+= -mass*cs[s] psi[s+1}
// FIXME just call MooeeDag??
// Collect the terms indept of DW
if ( s==0 ){
axpby_ssp_pplus (chi,1.0,chi,-1.0,psi,s,s+1);
axpby_ssp_pminus(chi,1.0,chi,mass,psi,s,Ls-1);
} else if ( s==(Ls-1)) {
axpby_ssp_pplus (chi,1.0,chi,mass,psi,s,0);
axpby_ssp_pminus(chi,1.0,chi,-1.0,psi,s,s-1);
} else {
axpby_ssp_pplus(chi,1.0,chi,-1.0,psi,s,s+1);
axpby_ssp_pminus(chi,1.0,chi,-1.0,psi,s,s-1);
}
}
// ((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);
// Assemble the 5d matrix
Meooe5D(psi,tmp);
// Apply 4d dslash
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>::Mooee (const FermionField &psi, FermionField &chi)
{
int Ls=this->Ls;
for (int s=0;s<Ls;s++){
if ( s==0 ) {
axpby_ssp_pminus(chi,bee[s],psi ,-cee[s],psi,s,s+1);
axpby_ssp_pplus (chi,1.0,chi,mass*cee[s],psi,s,Ls-1);
} else if ( s==(Ls-1)) {
axpby_ssp_pminus(chi,bee[s],psi,mass*cee[s],psi,s,0);
axpby_ssp_pplus (chi,1.0,chi,-cee[s],psi,s,s-1);
} else {
axpby_ssp_pminus(chi,bee[s],psi,-cee[s],psi,s,s+1);
axpby_ssp_pplus (chi,1.0,chi,-cee[s],psi,s,s-1);
}
}
FermionField temp(psi._grid);
this->MooeeDenseInternal(psi,temp,DaggerNo,InverseNo);
temp = temp - chi;
std::cout << "Difference between dense and normal "<< norm2(temp) <<std::endl;
}
template<class Impl>
void CayleyFermion5D<Impl>::Mdir (const FermionField &psi, FermionField &chi,int dir,int disp){
int Ls=this->Ls;
FermionField tmp(psi._grid);
// Assemble the 5d matrix
for(int s=0;s<Ls;s++){
if ( s==0 ) {
// tmp = bs psi[s] + cs[s] psi[s+1}
// tmp+= -mass*cs[s] psi[s+1}
axpby_ssp_pminus(tmp,beo[s],psi,-ceo[s],psi ,s, s+1);
axpby_ssp_pplus(tmp,1.0,tmp,mass*ceo[s],psi,s,Ls-1);
} else if ( s==(Ls-1)) {
axpby_ssp_pminus(tmp,beo[s],psi,mass*ceo[s],psi,s,0);
axpby_ssp_pplus(tmp,1.0,tmp,-ceo[s],psi,s,s-1);
} else {
axpby_ssp_pminus(tmp,beo[s],psi,-ceo[s],psi,s,s+1);
axpby_ssp_pplus (tmp,1.0,tmp,-ceo[s],psi,s,s-1);
}
}
// Apply 4d dslash fragment
this->DhopDir(tmp,chi,dir,disp);
}
template<class Impl>
void CayleyFermion5D<Impl>::MooeeDag (const FermionField &psi, FermionField &chi)
{
int Ls=this->Ls;
for (int s=0;s<Ls;s++){
// Assemble the 5d matrix
if ( s==0 ) {
axpby_ssp_pplus(chi,bee[s],psi,-cee[s+1] ,psi,s,s+1);
axpby_ssp_pminus(chi,1.0,chi,mass*cee[Ls-1],psi,s,Ls-1);
} else if ( s==(Ls-1)) {
axpby_ssp_pplus(chi,bee[s],psi,mass*cee[0],psi,s,0);
axpby_ssp_pminus(chi,1.0,chi,-cee[s-1],psi,s,s-1);
} else {
axpby_ssp_pplus(chi,bee[s],psi,-cee[s+1],psi,s,s+1);
axpby_ssp_pminus(chi,1.0 ,chi,-cee[s-1],psi,s,s-1);
}
}
FermionField temp(psi._grid);
this->MooeeDenseInternal(psi,temp,DaggerYes,InverseNo);
temp = temp - chi;
std::cout << "Difference between dense and normal "<< norm2(temp) <<std::endl;
}
template<class Impl>
void CayleyFermion5D<Impl>::MooeeInv (const FermionField &psi, FermionField &chi)
{
FermionField temp(psi._grid);
this->MooeeLDUInv(psi,chi);
this->MooeeDenseInv(psi,temp);
temp = temp - chi;
std::cout << "Difference between dense and normal "<< norm2(temp) <<std::endl;
}
template<class Impl>
void CayleyFermion5D<Impl>::MooeeInvDag (const FermionField &psi, FermionField &chi)
{
FermionField temp(psi._grid);
this->MooeeLDUInvDag(psi,chi);
this->MooeeDenseInvDag(psi,temp);
temp = temp - chi;
std::cout << "Difference between dense and normal "<< norm2(temp) <<std::endl;
}
template<class Impl>
void CayleyFermion5D<Impl>::MooeeDenseInvDag (const FermionField &psi, FermionField &chi)
{
this->MooeeDenseInternal(psi,chi,DaggerYes,InverseYes);
}
template<class Impl>
void CayleyFermion5D<Impl>::MooeeDenseInv(const FermionField &psi, FermionField &chi)
{
this->MooeeDenseInternal(psi,chi,DaggerNo,InverseYes);
}
template<class Impl>
void CayleyFermion5D<Impl>::MooeeDenseInternal(const FermionField &psi, FermionField &chi,int dag, int inv)
{
int Ls=this->Ls;
int LLs = psi._grid->_rdimensions[0];
int vol = psi._grid->oSites()/LLs;
chi.checkerboard=psi.checkerboard;
assert(Ls==LLs);
Eigen::MatrixXd Pplus = Eigen::MatrixXd::Zero(Ls,Ls);
Eigen::MatrixXd Pminus = Eigen::MatrixXd::Zero(Ls,Ls);
for(int s=0;s<Ls;s++){
Pplus(s,s) = bee[s];
Pminus(s,s)= bee[s];
}
for(int s=0;s<Ls-1;s++){
Pminus(s,s+1) = -cee[s];
}
for(int s=0;s<Ls-1;s++){
Pplus(s+1,s) = -cee[s];
}
std::cout << " Pplus "<<Pplus<<std::endl;
std::cout << " Pminus "<<Pminus<<std::endl;
Pplus (0,Ls-1) = mass*cee[0];
Pminus(Ls-1,0) = mass*cee[Ls-1];
Eigen::MatrixXd PplusMat ;
Eigen::MatrixXd PminusMat;
if ( inv ) {
PplusMat =Pplus.inverse();
PminusMat=Pminus.inverse();
} else {
PplusMat =Pplus;
PminusMat=Pminus;
}
if(dag){
PplusMat.adjointInPlace();
PminusMat.adjointInPlace();
}
// For the non-vectorised s-direction this is simple
PARALLEL_FOR_LOOP
for(auto site=0;site<vol;site++){
SiteSpinor SiteChi;
SiteHalfSpinor SitePplus;
SiteHalfSpinor SitePminus;
for(int s1=0;s1<Ls;s1++){
SiteChi =zero;
for(int s2=0;s2<Ls;s2++){
int lex2 = s2+Ls*site;
if ( PplusMat(s1,s2) != 0.0 ) {
spProj5p(SitePplus,psi[lex2]);
accumRecon5p(SiteChi,PplusMat (s1,s2)*SitePplus);
}
if ( PminusMat(s1,s2) != 0.0 ) {
spProj5m(SitePminus,psi[lex2]);
accumRecon5m(SiteChi,PminusMat(s1,s2)*SitePminus);
}
}
chi[s1+Ls*site] = SiteChi;
}
}
// For the non-vectorised s-direction we have more work to do in an alternate implementation
//
// ai = Mij bj
//
// where b == {b0} {b1}..
//
// Best to load/bcast b0
//
// ai = Mi0 b0
// for(int i=0;i<Ls;i++){
// ai += Mij bj
// }
//
// For rb5d shamir DWF, the Moo is proportional to the identity
// For rb4d Moo, we need to set a vector of coeffs, and use a stencil type construct, which is cheap.
}
template<class Impl>
void CayleyFermion5D<Impl>::MooeeLDUInv (const FermionField &psi, FermionField &chi)
{
chi.checkerboard=psi.checkerboard;
int Ls=this->Ls;
// Apply (L^{\prime})^{-1}
axpby_ssp (chi,1.0,psi, 0.0,psi,0,0); // chi[0]=psi[0]
for (int s=1;s<Ls;s++){
axpby_ssp_pplus(chi,1.0,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
axpby_ssp_pminus(chi,1.0,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]
axpby_ssp_pplus(chi,1.0/dee[s],chi,-ueem[s]/dee[Ls-1],chi,s,Ls-1);
}
axpby_ssp(chi,1.0/dee[Ls-1],chi,0.0,chi,Ls-1,Ls-1); // Modest avoidable
// Apply U^{-1}
for (int s=Ls-2;s>=0;s--){
axpby_ssp_pminus (chi,1.0,chi,-uee[s],chi,s,s+1); // chi[Ls]
}
}
template<class Impl>
void CayleyFermion5D<Impl>::MooeeLDUInvDag (const FermionField &psi, FermionField &chi)
{
chi.checkerboard=psi.checkerboard;
int Ls=this->Ls;
// Apply (U^{\prime})^{-dagger}
axpby_ssp (chi,1.0,psi, 0.0,psi,0,0); // chi[0]=psi[0]
for (int s=1;s<Ls;s++){
axpby_ssp_pminus(chi,1.0,psi,-uee[s-1],chi,s,s-1);
}
// U_m^{-\dagger}
for (int s=0;s<Ls-1;s++){
axpby_ssp_pplus(chi,1.0,chi,-ueem[s],chi,Ls-1,s);
}
// L_m^{-\dagger} D^{-dagger}
for (int s=0;s<Ls-1;s++){
axpby_ssp_pminus(chi,1.0/dee[s],chi,-leem[s]/dee[Ls-1],chi,s,Ls-1);
}
axpby_ssp(chi,1.0/dee[Ls-1],chi,0.0,chi,Ls-1,Ls-1); // Modest avoidable
// Apply L^{-dagger}
for (int s=Ls-2;s>=0;s--){
axpby_ssp_pplus (chi,1.0,chi,-lee[s],chi,s,s+1); // chi[Ls]
}
}
// 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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