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Grid/lib/qcd/action/fermion/CayleyFermion5D.cc

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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/Grid_Eigen_Dense.h>
#include <Grid/qcd/action/fermion/FermionCore.h>
#include <Grid/qcd/action/fermion/CayleyFermion5D.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)
{
}
///////////////////////////////////////////////////////////////
// Physical surface field utilities
///////////////////////////////////////////////////////////////
template<class Impl>
void CayleyFermion5D<Impl>::ExportPhysicalFermionSolution(const FermionField &solution5d,FermionField &exported4d)
{
int Ls = this->Ls;
FermionField tmp(this->FermionGrid());
tmp = solution5d;
conformable(solution5d._grid,this->FermionGrid());
conformable(exported4d._grid,this->GaugeGrid());
axpby_ssp_pminus(tmp, 0., solution5d, 1., solution5d, 0, 0);
axpby_ssp_pplus (tmp, 1., tmp , 1., solution5d, 0, Ls-1);
ExtractSlice(exported4d, tmp, 0, 0);
}
template<class Impl>
void CayleyFermion5D<Impl>::ImportPhysicalFermionSource(const FermionField &input4d,FermionField &imported5d)
{
int Ls = this->Ls;
FermionField tmp(this->FermionGrid());
conformable(imported5d._grid,this->FermionGrid());
conformable(input4d._grid ,this->GaugeGrid());
tmp = zero;
InsertSlice(input4d, tmp, 0 , 0);
InsertSlice(input4d, tmp, Ls-1, 0);
axpby_ssp_pplus (tmp, 0., tmp, 1., tmp, 0, 0);
axpby_ssp_pminus(tmp, 0., tmp, 1., tmp, Ls-1, Ls-1);
Dminus(tmp,imported5d);
}
template<class Impl>
void CayleyFermion5D<Impl>::Dminus(const FermionField &psi, FermionField &chi)
{
int Ls=this->Ls;
FermionField tmp_f(this->FermionGrid());
this->DW(psi,tmp_f,DaggerNo);
for(int s=0;s<Ls;s++){
axpby_ssp(chi,Coeff_t(1.0),psi,-cs[s],tmp_f,s,s);// chi = (1-c[s] D_W) psi
}
}
template<class Impl>
void CayleyFermion5D<Impl>::DminusDag(const FermionField &psi, FermionField &chi)
{
int Ls=this->Ls;
FermionField tmp_f(this->FermionGrid());
this->DW(psi,tmp_f,DaggerYes);
for(int s=0;s<Ls;s++){
axpby_ssp(chi,Coeff_t(1.0),psi,conjugate(-cs[s]),tmp_f,s,s);// chi = (1-c[s] D_W) psi
}
}
template<class Impl> void CayleyFermion5D<Impl>::CayleyReport(void)
{
this->Report();
std::vector<int> latt = GridDefaultLatt();
RealD volume = this->Ls; for(int mu=0;mu<Nd;mu++) volume=volume*latt[mu];
RealD NP = this->_FourDimGrid->_Nprocessors;
if ( M5Dcalls > 0 ) {
std::cout << GridLogMessage << "#### M5D calls report " << std::endl;
std::cout << GridLogMessage << "CayleyFermion5D Number of M5D Calls : " << M5Dcalls << std::endl;
std::cout << GridLogMessage << "CayleyFermion5D ComputeTime/Calls : " << M5Dtime / M5Dcalls << " us" << std::endl;
// Flops = 6.0*(Nc*Ns) *Ls*vol
RealD mflops = 6.0*12*volume*M5Dcalls/M5Dtime/2; // 2 for red black counting
std::cout << GridLogMessage << "Average mflops/s per call : " << mflops << std::endl;
std::cout << GridLogMessage << "Average mflops/s per call per rank : " << mflops/NP << std::endl;
}
if ( MooeeInvCalls > 0 ) {
std::cout << GridLogMessage << "#### MooeeInv calls report " << std::endl;
std::cout << GridLogMessage << "CayleyFermion5D Number of MooeeInv Calls : " << MooeeInvCalls << std::endl;
std::cout << GridLogMessage << "CayleyFermion5D ComputeTime/Calls : " << MooeeInvTime / MooeeInvCalls << " us" << std::endl;
// Flops = MADD * Ls *Ls *4dvol * spin/colour/complex
RealD mflops = 2.0*24*this->Ls*volume*MooeeInvCalls/MooeeInvTime/2; // 2 for red black counting
std::cout << GridLogMessage << "Average mflops/s per call : " << mflops << std::endl;
std::cout << GridLogMessage << "Average mflops/s per call per rank : " << mflops/NP << std::endl;
}
}
template<class Impl> void CayleyFermion5D<Impl>::CayleyZeroCounters(void)
{
this->ZeroCounters();
M5Dflops=0;
M5Dcalls=0;
M5Dtime=0;
MooeeInvFlops=0;
MooeeInvCalls=0;
MooeeInvTime=0;
}
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);
}
// FIXME Redunant with the above routine; check this and eliminate
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];
}
}
// Conjugate the terms
for (int s=0;s<Ls;s++){
diag[s] =conjugate(diag[s]);
upper[s]=conjugate(upper[s]);
lower[s]=conjugate(lower[s]);
}
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;
for (int s=0;s<Ls;s++){
if ( s== 0 ) {
upper[s] = cs[s+1];
lower[s] =-mass*cs[Ls-1];
} else if ( s==(Ls-1) ) {
upper[s] =-mass*cs[0];
lower[s] = cs[s-1];
} else {
upper[s] = cs[s+1];
lower[s] = cs[s-1];
}
upper[s] = conjugate(upper[s]);
lower[s] = conjugate(lower[s]);
diag[s] = conjugate(diag[s]);
}
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;
Meooe5D(psi,this->tmp());
if ( psi.checkerboard == Odd ) {
this->DhopEO(this->tmp(),chi,DaggerNo);
} else {
this->DhopOE(this->tmp(),chi,DaggerNo);
}
}
template<class Impl>
void CayleyFermion5D<Impl>::MeooeDag (const FermionField &psi, FermionField &chi)
{
// Apply 4d dslash
if ( psi.checkerboard == Odd ) {
this->DhopEO(psi,this->tmp(),DaggerYes);
} else {
this->DhopOE(psi,this->tmp(),DaggerYes);
}
MeooeDag5D(this->tmp(),chi);
}
template<class Impl>
void CayleyFermion5D<Impl>::Mdir (const FermionField &psi, FermionField &chi,int dir,int disp){
Meo5D(psi,this->tmp());
// Apply 4d dslash fragment
this->DhopDir(this->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)
///////////////////////////////////////////////////////////
assert(gamma.size()==Ls);
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
assert(omega[i]!=Coeff_t(0.0));
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);
assert(bee[i]!=Coeff_t(0.0));
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 ) {
assert(bee[i]!=Coeff_t(0.0));
assert(bee[0]!=Coeff_t(0.0));
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++) {
assert(bee[j+1]!=Coeff_t(0.0));
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++) {
assert(bee[j] != Coeff_t(0.0));
delta_d *= cee[j]/bee[j];
}
dee[Ls-1] += delta_d;
}
int inv=1;
this->MooeeInternalCompute(0,inv,MatpInv,MatmInv);
this->MooeeInternalCompute(1,inv,MatpInvDag,MatmInvDag);
}
template<class Impl>
void CayleyFermion5D<Impl>::MooeeInternalCompute(int dag, int inv,
Vector<iSinglet<Simd> > & Matp,
Vector<iSinglet<Simd> > & Matm)
{
int Ls=this->Ls;
GridBase *grid = this->FermionRedBlackGrid();
int LLs = grid->_rdimensions[0];
if ( LLs == Ls ) {
return; // Not vectorised in 5th direction
}
Eigen::MatrixXcd Pplus = Eigen::MatrixXcd::Zero(Ls,Ls);
Eigen::MatrixXcd Pminus = Eigen::MatrixXcd::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+1];
}
Pplus (0,Ls-1) = mass*cee[0];
Pminus(Ls-1,0) = mass*cee[Ls-1];
Eigen::MatrixXcd PplusMat ;
Eigen::MatrixXcd PminusMat;
if ( inv ) {
PplusMat =Pplus.inverse();
PminusMat=Pminus.inverse();
} else {
PplusMat =Pplus;
PminusMat=Pminus;
}
if(dag){
PplusMat.adjointInPlace();
PminusMat.adjointInPlace();
}
typedef typename SiteHalfSpinor::scalar_type scalar_type;
const int Nsimd=Simd::Nsimd();
Matp.resize(Ls*LLs);
Matm.resize(Ls*LLs);
for(int s2=0;s2<Ls;s2++){
for(int s1=0;s1<LLs;s1++){
int istride = LLs;
int ostride = 1;
Simd Vp;
Simd Vm;
scalar_type *sp = (scalar_type *)&Vp;
scalar_type *sm = (scalar_type *)&Vm;
for(int l=0;l<Nsimd;l++){
if ( switcheroo<Coeff_t>::iscomplex() ) {
sp[l] = PplusMat (l*istride+s1*ostride,s2);
sm[l] = PminusMat(l*istride+s1*ostride,s2);
} else {
// if real
scalar_type tmp;
tmp = PplusMat (l*istride+s1*ostride,s2);
sp[l] = scalar_type(tmp.real(),tmp.real());
tmp = PminusMat(l*istride+s1*ostride,s2);
sm[l] = scalar_type(tmp.real(),tmp.real());
}
}
Matp[LLs*s2+s1] = Vp;
Matm[LLs*s2+s1] = Vm;
}}
}
FermOpTemplateInstantiate(CayleyFermion5D);
GparityFermOpTemplateInstantiate(CayleyFermion5D);
}}
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