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Grid/lib/qcd/action/fermion/DomainWallEOFAFermion.cc
paboyle bf58557fb1 Block compressed Lanczos
2017-10-10 14:15:11 +01:00

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/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/qcd/action/fermion/DomainWallEOFAFermion.cc
Copyright (C) 2017
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>
Author: David Murphy <dmurphy@phys.columbia.edu>
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/DomainWallEOFAFermion.h>
namespace Grid {
namespace QCD {
template<class Impl>
DomainWallEOFAFermion<Impl>::DomainWallEOFAFermion(
GaugeField &_Umu,
GridCartesian &FiveDimGrid,
GridRedBlackCartesian &FiveDimRedBlackGrid,
GridCartesian &FourDimGrid,
GridRedBlackCartesian &FourDimRedBlackGrid,
RealD _mq1, RealD _mq2, RealD _mq3,
RealD _shift, int _pm, RealD _M5, const ImplParams &p) :
AbstractEOFAFermion<Impl>(_Umu, FiveDimGrid, FiveDimRedBlackGrid,
FourDimGrid, FourDimRedBlackGrid, _mq1, _mq2, _mq3,
_shift, _pm, _M5, 1.0, 0.0, p)
{
RealD eps = 1.0;
Approx::zolotarev_data *zdata = Approx::higham(eps,this->Ls);
assert(zdata->n == this->Ls);
std::cout << GridLogMessage << "DomainWallEOFAFermion with Ls=" << this->Ls << std::endl;
this->SetCoefficientsTanh(zdata, 1.0, 0.0);
Approx::zolotarev_free(zdata);
}
/***************************************************************
* Additional EOFA operators only called outside the inverter.
* Since speed is not essential, simple axpby-style
* implementations should be fine.
***************************************************************/
template<class Impl>
void DomainWallEOFAFermion<Impl>::Omega(const FermionField& psi, FermionField& Din, int sign, int dag)
{
int Ls = this->Ls;
Din = zero;
if((sign == 1) && (dag == 0)){ axpby_ssp(Din, 0.0, psi, 1.0, psi, Ls-1, 0); }
else if((sign == -1) && (dag == 0)){ axpby_ssp(Din, 0.0, psi, 1.0, psi, 0, 0); }
else if((sign == 1 ) && (dag == 1)){ axpby_ssp(Din, 0.0, psi, 1.0, psi, 0, Ls-1); }
else if((sign == -1) && (dag == 1)){ axpby_ssp(Din, 0.0, psi, 1.0, psi, 0, 0); }
}
// This is just the identity for DWF
template<class Impl>
void DomainWallEOFAFermion<Impl>::Dtilde(const FermionField& psi, FermionField& chi){ chi = psi; }
// This is just the identity for DWF
template<class Impl>
void DomainWallEOFAFermion<Impl>::DtildeInv(const FermionField& psi, FermionField& chi){ chi = psi; }
/*****************************************************************************************************/
template<class Impl>
RealD DomainWallEOFAFermion<Impl>::M(const FermionField& psi, FermionField& chi)
{
int Ls = this->Ls;
FermionField Din(psi._grid);
this->Meooe5D(psi, Din);
this->DW(Din, chi, DaggerNo);
axpby(chi, 1.0, 1.0, chi, psi);
this->M5D(psi, chi);
return(norm2(chi));
}
template<class Impl>
RealD DomainWallEOFAFermion<Impl>::Mdag(const FermionField& psi, FermionField& chi)
{
int Ls = this->Ls;
FermionField Din(psi._grid);
this->DW(psi, Din, DaggerYes);
this->MeooeDag5D(Din, chi);
this->M5Ddag(psi, chi);
axpby(chi, 1.0, 1.0, chi, psi);
return(norm2(chi));
}
/********************************************************************
* Performance critical fermion operators called inside the inverter
********************************************************************/
template<class Impl>
void DomainWallEOFAFermion<Impl>::M5D(const FermionField& psi, FermionField& chi)
{
int Ls = this->Ls;
int pm = this->pm;
RealD shift = this->shift;
RealD mq1 = this->mq1;
RealD mq2 = this->mq2;
RealD mq3 = this->mq3;
// coefficients for shift operator ( = shift*\gamma_{5}*R_{5}*\Delta_{\pm}(mq2,mq3)*P_{\pm} )
Coeff_t shiftp(0.0), shiftm(0.0);
if(shift != 0.0){
if(pm == 1){ shiftp = shift*(mq3-mq2); }
else{ shiftm = -shift*(mq3-mq2); }
}
std::vector<Coeff_t> diag(Ls,1.0);
std::vector<Coeff_t> upper(Ls,-1.0); upper[Ls-1] = mq1 + shiftm;
std::vector<Coeff_t> lower(Ls,-1.0); lower[0] = mq1 + shiftp;
#if(0)
std::cout << GridLogMessage << "DomainWallEOFAFermion::M5D(FF&,FF&):" << std::endl;
for(int i=0; i<diag.size(); ++i){
std::cout << GridLogMessage << "diag[" << i << "] =" << diag[i] << std::endl;
}
for(int i=0; i<upper.size(); ++i){
std::cout << GridLogMessage << "upper[" << i << "] =" << upper[i] << std::endl;
}
for(int i=0; i<lower.size(); ++i){
std::cout << GridLogMessage << "lower[" << i << "] =" << lower[i] << std::endl;
}
#endif
this->M5D(psi, chi, chi, lower, diag, upper);
}
template<class Impl>
void DomainWallEOFAFermion<Impl>::M5Ddag(const FermionField& psi, FermionField& chi)
{
int Ls = this->Ls;
int pm = this->pm;
RealD shift = this->shift;
RealD mq1 = this->mq1;
RealD mq2 = this->mq2;
RealD mq3 = this->mq3;
// coefficients for shift operator ( = shift*\gamma_{5}*R_{5}*\Delta_{\pm}(mq2,mq3)*P_{\pm} )
Coeff_t shiftp(0.0), shiftm(0.0);
if(shift != 0.0){
if(pm == 1){ shiftp = shift*(mq3-mq2); }
else{ shiftm = -shift*(mq3-mq2); }
}
std::vector<Coeff_t> diag(Ls,1.0);
std::vector<Coeff_t> upper(Ls,-1.0); upper[Ls-1] = mq1 + shiftp;
std::vector<Coeff_t> lower(Ls,-1.0); lower[0] = mq1 + shiftm;
#if(0)
std::cout << GridLogMessage << "DomainWallEOFAFermion::M5Ddag(FF&,FF&):" << std::endl;
for(int i=0; i<diag.size(); ++i){
std::cout << GridLogMessage << "diag[" << i << "] =" << diag[i] << std::endl;
}
for(int i=0; i<upper.size(); ++i){
std::cout << GridLogMessage << "upper[" << i << "] =" << upper[i] << std::endl;
}
for(int i=0; i<lower.size(); ++i){
std::cout << GridLogMessage << "lower[" << i << "] =" << lower[i] << std::endl;
}
#endif
this->M5Ddag(psi, chi, chi, lower, diag, upper);
}
// half checkerboard operations
template<class Impl>
void DomainWallEOFAFermion<Impl>::Mooee(const FermionField& psi, FermionField& chi)
{
int Ls = this->Ls;
std::vector<Coeff_t> diag = this->bee;
std::vector<Coeff_t> upper(Ls);
std::vector<Coeff_t> lower(Ls);
for(int s=0; s<Ls; s++){
upper[s] = -this->cee[s];
lower[s] = -this->cee[s];
}
upper[Ls-1] = this->dm;
lower[0] = this->dp;
this->M5D(psi, psi, chi, lower, diag, upper);
}
template<class Impl>
void DomainWallEOFAFermion<Impl>::MooeeDag(const FermionField& psi, FermionField& chi)
{
int Ls = this->Ls;
std::vector<Coeff_t> diag = this->bee;
std::vector<Coeff_t> upper(Ls);
std::vector<Coeff_t> lower(Ls);
for(int s=0; s<Ls; s++){
upper[s] = -this->cee[s];
lower[s] = -this->cee[s];
}
upper[Ls-1] = this->dp;
lower[0] = this->dm;
this->M5Ddag(psi, psi, chi, lower, diag, upper);
}
/****************************************************************************************/
//Zolo
template<class Impl>
void DomainWallEOFAFermion<Impl>::SetCoefficientsInternal(RealD zolo_hi, std::vector<Coeff_t>& gamma, RealD b, RealD c)
{
int Ls = this->Ls;
int pm = this->pm;
RealD mq1 = this->mq1;
RealD mq2 = this->mq2;
RealD mq3 = this->mq3;
RealD shift = this->shift;
////////////////////////////////////////////////////////
// Constants for the preconditioned matrix Cayley form
////////////////////////////////////////////////////////
this->bs.resize(Ls);
this->cs.resize(Ls);
this->aee.resize(Ls);
this->aeo.resize(Ls);
this->bee.resize(Ls);
this->beo.resize(Ls);
this->cee.resize(Ls);
this->ceo.resize(Ls);
for(int i=0; i<Ls; ++i){
this->bee[i] = 4.0 - this->M5 + 1.0;
this->cee[i] = 1.0;
}
for(int i=0; i<Ls; ++i){
this->aee[i] = this->cee[i];
this->bs[i] = this->beo[i] = 1.0;
this->cs[i] = this->ceo[i] = 0.0;
}
//////////////////////////////////////////
// EOFA shift terms
//////////////////////////////////////////
if(pm == 1){
this->dp = mq1*this->cee[0] + shift*(mq3-mq2);
this->dm = mq1*this->cee[Ls-1];
} else if(this->pm == -1) {
this->dp = mq1*this->cee[0];
this->dm = mq1*this->cee[Ls-1] - shift*(mq3-mq2);
} else {
this->dp = mq1*this->cee[0];
this->dm = mq1*this->cee[Ls-1];
}
//////////////////////////////////////////
// LDU decomposition of eeoo
//////////////////////////////////////////
this->dee.resize(Ls+1);
this->lee.resize(Ls);
this->leem.resize(Ls);
this->uee.resize(Ls);
this->ueem.resize(Ls);
for(int i=0; i<Ls; ++i){
if(i < Ls-1){
this->lee[i] = -this->cee[i+1]/this->bee[i]; // sub-diag entry on the ith column
this->leem[i] = this->dm/this->bee[i];
for(int j=0; j<i; j++){ this->leem[i] *= this->aee[j]/this->bee[j]; }
this->dee[i] = this->bee[i];
this->uee[i] = -this->aee[i]/this->bee[i]; // up-diag entry on the ith row
this->ueem[i] = this->dp / this->bee[0];
for(int j=1; j<=i; j++){ this->ueem[i] *= this->cee[j]/this->bee[j]; }
} else {
this->lee[i] = 0.0;
this->leem[i] = 0.0;
this->uee[i] = 0.0;
this->ueem[i] = 0.0;
}
}
{
Coeff_t delta_d = 1.0 / this->bee[0];
for(int j=1; j<Ls-1; j++){ delta_d *= this->cee[j] / this->bee[j]; }
this->dee[Ls-1] = this->bee[Ls-1] + this->cee[0] * this->dm * delta_d;
this->dee[Ls] = this->bee[Ls-1] + this->cee[Ls-1] * this->dp * delta_d;
}
int inv = 1;
this->MooeeInternalCompute(0, inv, this->MatpInv, this->MatmInv);
this->MooeeInternalCompute(1, inv, this->MatpInvDag, this->MatmInvDag);
}
// Recompute Cayley-form coefficients for different shift
template<class Impl>
void DomainWallEOFAFermion<Impl>::RefreshShiftCoefficients(RealD new_shift)
{
this->shift = new_shift;
Approx::zolotarev_data *zdata = Approx::higham(1.0, this->Ls);
this->SetCoefficientsTanh(zdata, 1.0, 0.0);
}
template<class Impl>
void DomainWallEOFAFermion<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) = this->bee[s];
Pminus(s,s) = this->bee[s];
}
for(int s=0; s<Ls-1; s++){
Pminus(s,s+1) = -this->cee[s];
}
for(int s=0; s<Ls-1; s++){
Pplus(s+1,s) = -this->cee[s+1];
}
Pplus (0,Ls-1) = this->dp;
Pminus(Ls-1,0) = this->dm;
Eigen::MatrixXcd PplusMat ;
Eigen::MatrixXcd PminusMat;
#if(0)
std::cout << GridLogMessage << "Pplus:" << std::endl;
for(int s=0; s<Ls; ++s){
for(int ss=0; ss<Ls; ++ss){
std::cout << Pplus(s,ss) << "\t";
}
std::cout << std::endl;
}
std::cout << GridLogMessage << "Pminus:" << std::endl;
for(int s=0; s<Ls; ++s){
for(int ss=0; ss<Ls; ++ss){
std::cout << Pminus(s,ss) << "\t";
}
std::cout << std::endl;
}
#endif
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(DomainWallEOFAFermion);
GparityFermOpTemplateInstantiate(DomainWallEOFAFermion);
}}
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