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Check-in of working Mobius EOFA class and tests

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This commit is contained in:
David Murphy 2017-08-22 22:38:30 -04:00
parent 9d45fca8bc
commit 459f70e8d4
16 changed files with 2383 additions and 32 deletions
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6
lib/qcd/action/fermion/Fermion.h
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@ -265,9 +265,9 @@ typedef MobiusFermion<GparityWilsonImplRL> GparityMobiusFermionRL;
typedef MobiusFermion<GparityWilsonImplFH> GparityMobiusFermionFH;
typedef MobiusFermion<GparityWilsonImplDF> GparityMobiusFermionDF;
typedef MobiusEOFAFermion<GparityWilsonImplR> GparityMobiusFermionR;
typedef MobiusEOFAFermion<GparityWilsonImplF> GparityMobiusFermionF;
typedef MobiusEOFAFermion<GparityWilsonImplD> GparityMobiusFermionD;
typedef MobiusEOFAFermion<GparityWilsonImplR> GparityMobiusEOFAFermionR;
typedef MobiusEOFAFermion<GparityWilsonImplF> GparityMobiusEOFAFermionF;
typedef MobiusEOFAFermion<GparityWilsonImplD> GparityMobiusEOFAFermionD;
typedef MobiusEOFAFermion<GparityWilsonImplRL> GparityMobiusEOFAFermionRL;
typedef MobiusEOFAFermion<GparityWilsonImplFH> GparityMobiusEOFAFermionFH;

21
lib/qcd/action/fermion/MobiusEOFAFermion.cc
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@ -142,7 +142,7 @@ namespace QCD {
RealD DtInv_p(0.0), DtInv_m(0.0);
RealD N = std::pow(c+d,Ls) + m*std::pow(c-d,Ls);
FermionField tmp = zero;
FermionField tmp(this->FermionGrid());
for(int s=0; s<Ls; ++s){
for(int sp=0; sp<Ls; ++sp){
@ -152,15 +152,14 @@ namespace QCD {
DtInv_m = m * std::pow(-1.0,sp-s+1) * std::pow(c-d,Ls+sp-s) / std::pow(c+d,sp-s+1) / N;
DtInv_m += (s > sp) ? 0.0 : std::pow(-1.0,sp-s) * std::pow(c-d,sp-s) / std::pow(c+d,sp-s+1);
if(dag){
RealD tmp(DtInv_p);
DtInv_p = DtInv_m;
DtInv_m = tmp;
if(sp == 0){
axpby_ssp_pplus (tmp, 0.0, tmp, DtInv_p, psi, s, sp);
axpby_ssp_pminus(tmp, 0.0, tmp, DtInv_m, psi, s, sp);
} else {
axpby_ssp_pplus (tmp, 1.0, tmp, DtInv_p, psi, s, sp);
axpby_ssp_pminus(tmp, 1.0, tmp, DtInv_m, psi, s, sp);
}
axpby_ssp_pplus (tmp, 1.0, tmp, DtInv_p, psi, s, sp);
axpby_ssp_pminus(tmp, 1.0, tmp, DtInv_m, psi, s, sp);
}}
}
@ -217,11 +216,11 @@ namespace QCD {
template<class Impl>
void MobiusEOFAFermion<Impl>::M5Ddag(const FermionField& psi, FermionField& chi)
{
int Ls = this->Ls;
int Ls = this->Ls;
std::vector<Coeff_t> diag(Ls,1.0);
std::vector<Coeff_t> upper(Ls,-1.0); upper[Ls-1] = this->mq1 + shiftp;
std::vector<Coeff_t> lower(Ls,-1.0); lower[0] = this->mq1 + shiftm;
std::vector<Coeff_t> upper(Ls,-1.0); upper[Ls-1] = this->mq1;
std::vector<Coeff_t> lower(Ls,-1.0); lower[0] = this->mq1;
// no shift term
if(this->shift == 0.0){ this->M5Ddag(psi, chi, chi, lower, diag, upper); }

4
lib/qcd/action/fermion/MobiusEOFAFermion.h
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@ -111,7 +111,7 @@ namespace QCD {
};
}}
#define INSTANTIATE_DPERP_DWF_EOFA(A)\
#define INSTANTIATE_DPERP_MOBIUS_EOFA(A)\
template void MobiusEOFAFermion<A>::M5D(const FermionField& psi, const FermionField& phi, FermionField& chi, \
std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper); \
template void MobiusEOFAFermion<A>::M5D_shift(const FermionField& psi, const FermionField& phi, FermionField& chi, \
@ -122,7 +122,7 @@ template void MobiusEOFAFermion<A>::M5Ddag_shift(const FermionField& psi, const
std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper, std::vector<Coeff_t>& shift_coeffs); \
template void MobiusEOFAFermion<A>::MooeeInv(const FermionField& psi, FermionField& chi); \
template void MobiusEOFAFermion<A>::MooeeInv_shift(const FermionField& psi, FermionField& chi); \
template void MobiusEOFAFermion<A>::MooeeInvDag(const FermionField& psi, FermionField& chi);
template void MobiusEOFAFermion<A>::MooeeInvDag(const FermionField& psi, FermionField& chi); \
template void MobiusEOFAFermion<A>::MooeeInvDag_shift(const FermionField& psi, FermionField& chi);
#undef MOBIUS_EOFA_DPERP_DENSE

24
lib/qcd/action/fermion/MobiusEOFAFermioncache.cc
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@ -410,19 +410,19 @@ namespace QCD {
#ifdef MOBIUS_EOFA_DPERP_CACHE
INSTANTIATE_DPERP_MOBIUS_EOFA(WilsonImplF);
INSTANTIATE_DPERP_MOBIUS_EOFA(WilsonImplD);
INSTANTIATE_DPERP_MOBIUS_EOFA(GparityWilsonImplF);
INSTANTIATE_DPERP_MOBIUS_EOFA(GparityWilsonImplD);
INSTANTIATE_DPERP_MOBIUS_EOFA(ZWilsonImplF);
INSTANTIATE_DPERP_MOBIUS_EOFA(ZWilsonImplD);
INSTANTIATE_DPERP_MOBIUS_EOFA(WilsonImplF);
INSTANTIATE_DPERP_MOBIUS_EOFA(WilsonImplD);
INSTANTIATE_DPERP_MOBIUS_EOFA(GparityWilsonImplF);
INSTANTIATE_DPERP_MOBIUS_EOFA(GparityWilsonImplD);
INSTANTIATE_DPERP_MOBIUS_EOFA(ZWilsonImplF);
INSTANTIATE_DPERP_MOBIUS_EOFA(ZWilsonImplD);
INSTANTIATE_DPERP_MOBIUS_EOFA(WilsonImplFH);
INSTANTIATE_DPERP_MOBIUS_EOFA(WilsonImplDF);
INSTANTIATE_DPERP_MOBIUS_EOFA(GparityWilsonImplFH);
INSTANTIATE_DPERP_MOBIUS_EOFA(GparityWilsonImplDF);
INSTANTIATE_DPERP_MOBIUS_EOFA(ZWilsonImplFH);
INSTANTIATE_DPERP_MOBIUS_EOFA(ZWilsonImplDF);
INSTANTIATE_DPERP_MOBIUS_EOFA(WilsonImplFH);
INSTANTIATE_DPERP_MOBIUS_EOFA(WilsonImplDF);
INSTANTIATE_DPERP_MOBIUS_EOFA(GparityWilsonImplFH);
INSTANTIATE_DPERP_MOBIUS_EOFA(GparityWilsonImplDF);
INSTANTIATE_DPERP_MOBIUS_EOFA(ZWilsonImplFH);
INSTANTIATE_DPERP_MOBIUS_EOFA(ZWilsonImplDF);
#endif

184
lib/qcd/action/fermion/MobiusEOFAFermiondense.cc Normal file
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@ -0,0 +1,184 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/qcd/action/fermion/MobiusEOFAFermiondense.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/MobiusEOFAFermion.h>
namespace Grid {
namespace QCD {
/*
* Dense matrix versions of routines
*/
template<class Impl>
void MobiusEOFAFermion<Impl>::MooeeInv(const FermionField& psi, FermionField& chi)
{
this->MooeeInternal(psi, chi, DaggerNo, InverseYes);
}
template<class Impl>
void MobiusEOFAFermion<Impl>::MooeeInv_shift(const FermionField& psi, FermionField& chi)
{
this->MooeeInternal(psi, chi, DaggerNo, InverseYes);
}
template<class Impl>
void MobiusEOFAFermion<Impl>::MooeeInvDag(const FermionField& psi, FermionField& chi)
{
this->MooeeInternal(psi, chi, DaggerYes, InverseYes);
}
template<class Impl>
void MobiusEOFAFermion<Impl>::MooeeInvDag_shift(const FermionField& psi, FermionField& chi)
{
this->MooeeInternal(psi, chi, DaggerYes, InverseYes);
}
template<class Impl>
void MobiusEOFAFermion<Impl>::MooeeInternal(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;
int pm = this->pm;
RealD shift = this->shift;
RealD alpha = this->alpha;
RealD k = this->k;
RealD mq1 = this->mq1;
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) = 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) = mq1*this->cee[0];
Pminus(Ls-1,0) = mq1*this->cee[Ls-1];
if(shift != 0.0){
Coeff_t N = 2.0 * ( std::pow(alpha+1.0,Ls) + mq1*std::pow(alpha-1.0,Ls) );
for(int s=0; s<Ls; ++s){
if(pm == 1){ Pplus(s,Ls-1) += shift * k * N * std::pow(-1.0,s) * std::pow(alpha-1.0,s) / std::pow(alpha+1.0,Ls+s+1); }
else{ Pminus(Ls-1-s,Ls-1) -= shift * k * N * std::pow(-1.0,s) * std::pow(alpha-1.0,s) / std::pow(alpha+1.0,Ls+s+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
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*0.5;
}
}
}
#ifdef MOBIUS_EOFA_DPERP_DENSE
INSTANTIATE_DPERP_MOBIUS_EOFA(GparityWilsonImplF);
INSTANTIATE_DPERP_MOBIUS_EOFA(GparityWilsonImplD);
INSTANTIATE_DPERP_MOBIUS_EOFA(WilsonImplF);
INSTANTIATE_DPERP_MOBIUS_EOFA(WilsonImplD);
INSTANTIATE_DPERP_MOBIUS_EOFA(ZWilsonImplF);
INSTANTIATE_DPERP_MOBIUS_EOFA(ZWilsonImplD);
template void MobiusEOFAFermion<GparityWilsonImplF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
template void MobiusEOFAFermion<GparityWilsonImplD>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
template void MobiusEOFAFermion<WilsonImplF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
template void MobiusEOFAFermion<WilsonImplD>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
template void MobiusEOFAFermion<ZWilsonImplF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
template void MobiusEOFAFermion<ZWilsonImplD>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
INSTANTIATE_DPERP_MOBIUS_EOFA(GparityWilsonImplFH);
INSTANTIATE_DPERP_MOBIUS_EOFA(GparityWilsonImplDF);
INSTANTIATE_DPERP_MOBIUS_EOFA(WilsonImplFH);
INSTANTIATE_DPERP_MOBIUS_EOFA(WilsonImplDF);
INSTANTIATE_DPERP_MOBIUS_EOFA(ZWilsonImplFH);
INSTANTIATE_DPERP_MOBIUS_EOFA(ZWilsonImplDF);
template void MobiusEOFAFermion<GparityWilsonImplFH>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
template void MobiusEOFAFermion<GparityWilsonImplDF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
template void MobiusEOFAFermion<WilsonImplFH>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
template void MobiusEOFAFermion<WilsonImplDF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
template void MobiusEOFAFermion<ZWilsonImplFH>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
template void MobiusEOFAFermion<ZWilsonImplDF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
#endif
}}

290
lib/qcd/action/fermion/MobiusEOFAFermionssp.cc Normal file
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@ -0,0 +1,290 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/qcd/action/fermion/MobiusEOFAFermionssp.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/qcd/action/fermion/FermionCore.h>
#include <Grid/qcd/action/fermion/MobiusEOFAFermion.h>
namespace Grid {
namespace QCD {
// FIXME -- make a version of these routines with site loop outermost for cache reuse.
// Pminus fowards
// Pplus backwards
template<class Impl>
void MobiusEOFAFermion<Impl>::M5D(const FermionField& psi, const FermionField& phi,
FermionField& chi, std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper)
{
Coeff_t one(1.0);
int Ls = this->Ls;
for(int s=0; s<Ls; s++){
if(s==0) {
axpby_ssp_pminus(chi, diag[s], phi, upper[s], psi, s, s+1);
axpby_ssp_pplus (chi, one, chi, lower[s], psi, s, Ls-1);
} else if (s==(Ls-1)) {
axpby_ssp_pminus(chi, diag[s], phi, upper[s], psi, s, 0);
axpby_ssp_pplus (chi, one, chi, lower[s], psi, s, s-1);
} else {
axpby_ssp_pminus(chi, diag[s], phi, upper[s], psi, s, s+1);
axpby_ssp_pplus(chi, one, chi, lower[s], psi, s, s-1);
}
}
}
template<class Impl>
void MobiusEOFAFermion<Impl>::M5D_shift(const FermionField& psi, const FermionField& phi,
FermionField& chi, std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper,
std::vector<Coeff_t>& shift_coeffs)
{
Coeff_t one(1.0);
int Ls = this->Ls;
for(int s=0; s<Ls; s++){
if(s==0) {
axpby_ssp_pminus(chi, diag[s], phi, upper[s], psi, s, s+1);
axpby_ssp_pplus (chi, one, chi, lower[s], psi, s, Ls-1);
} else if (s==(Ls-1)) {
axpby_ssp_pminus(chi, diag[s], phi, upper[s], psi, s, 0);
axpby_ssp_pplus (chi, one, chi, lower[s], psi, s, s-1);
} else {
axpby_ssp_pminus(chi, diag[s], phi, upper[s], psi, s, s+1);
axpby_ssp_pplus(chi, one, chi, lower[s], psi, s, s-1);
}
if(this->pm == 1){ axpby_ssp_pplus(chi, one, chi, shift_coeffs[s], psi, s, Ls-1); }
else{ axpby_ssp_pminus(chi, one, chi, shift_coeffs[s], psi, s, 0); }
}
}
template<class Impl>
void MobiusEOFAFermion<Impl>::M5Ddag(const FermionField& psi, const FermionField& phi,
FermionField& chi, std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper)
{
Coeff_t one(1.0);
int Ls = this->Ls;
for(int s=0; s<Ls; s++){
if(s==0) {
axpby_ssp_pplus (chi, diag[s], phi, upper[s], psi, s, s+1);
axpby_ssp_pminus(chi, one, chi, lower[s], psi, s, Ls-1);
} else if (s==(Ls-1)) {
axpby_ssp_pplus (chi, diag[s], phi, upper[s], psi, s, 0);
axpby_ssp_pminus(chi, one, chi, lower[s], psi, s, s-1);
} else {
axpby_ssp_pplus (chi, diag[s], phi, upper[s], psi, s, s+1);
axpby_ssp_pminus(chi, one, chi, lower[s], psi, s, s-1);
}
}
}
template<class Impl>
void MobiusEOFAFermion<Impl>::M5Ddag_shift(const FermionField& psi, const FermionField& phi,
FermionField& chi, std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper,
std::vector<Coeff_t>& shift_coeffs)
{
Coeff_t one(1.0);
int Ls = this->Ls;
for(int s=0; s<Ls; s++){
if(s==0) {
axpby_ssp_pplus (chi, diag[s], phi, upper[s], psi, s, s+1);
axpby_ssp_pminus(chi, one, chi, lower[s], psi, s, Ls-1);
} else if (s==(Ls-1)) {
axpby_ssp_pplus (chi, diag[s], phi, upper[s], psi, s, 0);
axpby_ssp_pminus(chi, one, chi, lower[s], psi, s, s-1);
} else {
axpby_ssp_pplus (chi, diag[s], phi, upper[s], psi, s, s+1);
axpby_ssp_pminus(chi, one, chi, lower[s], psi, s, s-1);
}
if(this->pm == 1){ axpby_ssp_pplus(chi, one, chi, shift_coeffs[s], psi, Ls-1, s); }
else{ axpby_ssp_pminus(chi, one, chi, shift_coeffs[s], psi, 0, s); }
}
}
template<class Impl>
void MobiusEOFAFermion<Impl>::MooeeInv(const FermionField& psi, FermionField& chi)
{
if(this->shift != 0.0){ MooeeInv_shift(psi,chi); return; }
Coeff_t one(1.0);
Coeff_t czero(0.0);
chi.checkerboard = psi.checkerboard;
int Ls = this->Ls;
// Apply (L^{\prime})^{-1}
axpby_ssp(chi, one, psi, czero, psi, 0, 0); // chi[0]=psi[0]
for(int s=1; s<Ls; s++){
axpby_ssp_pplus(chi, one, psi, -this->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, one, chi, -this->leem[s], chi, Ls-1, s);
}
// U_m^{-1} D^{-1}
for(int s=0; s<Ls-1; s++){
axpby_ssp_pplus(chi, one/this->dee[s], chi, -this->ueem[s]/this->dee[Ls-1], chi, s, Ls-1);
}
axpby_ssp(chi, one/this->dee[Ls-1], chi, czero, chi, Ls-1, Ls-1);
// Apply U^{-1}
for(int s=Ls-2; s>=0; s--){
axpby_ssp_pminus(chi, one, chi, -this->uee[s], chi, s, s+1); // chi[Ls]
}
}
template<class Impl>
void MobiusEOFAFermion<Impl>::MooeeInv_shift(const FermionField& psi, FermionField& chi)
{
Coeff_t one(1.0);
Coeff_t czero(0.0);
chi.checkerboard = psi.checkerboard;
int Ls = this->Ls;
FermionField tmp(psi._grid);
// Apply (L^{\prime})^{-1}
axpby_ssp(chi, one, psi, czero, psi, 0, 0); // chi[0]=psi[0]
axpby_ssp(tmp, czero, tmp, this->MooeeInv_shift_lc[0], psi, 0, 0);
for(int s=1; s<Ls; s++){
axpby_ssp_pplus(chi, one, psi, -this->lee[s-1], chi, s, s-1);// recursion Psi[s] -lee P_+ chi[s-1]
axpby_ssp(tmp, one, tmp, this->MooeeInv_shift_lc[s], psi, 0, s);
}
// 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, one, chi, -this->leem[s], chi, Ls-1, s);
}
// U_m^{-1} D^{-1}
for(int s=0; s<Ls-1; s++){
axpby_ssp_pplus(chi, one/this->dee[s], chi, -this->ueem[s]/this->dee[Ls-1], chi, s, Ls-1);
}
axpby_ssp(chi, one/this->dee[Ls-1], chi, czero, chi, Ls-1, Ls-1);
// Apply U^{-1} and add shift term
if(this->pm == 1){ axpby_ssp_pplus(chi, one, chi, this->MooeeInv_shift_norm[Ls-1], tmp, Ls-1, 0); }
else{ axpby_ssp_pminus(chi, one, chi, this->MooeeInv_shift_norm[Ls-1], tmp, Ls-1, 0); }
for(int s=Ls-2; s>=0; s--){
axpby_ssp_pminus(chi, one, chi, -this->uee[s], chi, s, s+1); // chi[Ls]
if(this->pm == 1){ axpby_ssp_pplus(chi, one, chi, this->MooeeInv_shift_norm[s], tmp, s, 0); }
else{ axpby_ssp_pminus(chi, one, chi, this->MooeeInv_shift_norm[s], tmp, s, 0); }
}
}
template<class Impl>
void MobiusEOFAFermion<Impl>::MooeeInvDag(const FermionField& psi, FermionField& chi)
{
if(this->shift != 0.0){ MooeeInvDag_shift(psi,chi); return; }
Coeff_t one(1.0);
Coeff_t czero(0.0);
chi.checkerboard = psi.checkerboard;
int Ls = this->Ls;
// Apply (U^{\prime})^{-dagger}
axpby_ssp(chi, one, psi, czero, psi, 0, 0); // chi[0]=psi[0]
for(int s=1; s<Ls; s++){
axpby_ssp_pminus(chi, one, psi, -conjugate(this->uee[s-1]), chi, s, s-1);
}
// U_m^{-\dagger}
for(int s=0; s<Ls-1; s++){
axpby_ssp_pplus(chi, one, chi, -conjugate(this->ueem[s]), chi, Ls-1, s);
}
// L_m^{-\dagger} D^{-dagger}
for(int s=0; s<Ls-1; s++){
axpby_ssp_pminus(chi, one/conjugate(this->dee[s]), chi, -conjugate(this->leem[s]/this->dee[Ls-1]), chi, s, Ls-1);
}
axpby_ssp(chi, one/conjugate(this->dee[Ls-1]), chi, czero, chi, Ls-1, Ls-1);
// Apply L^{-dagger}
for(int s=Ls-2; s>=0; s--){
axpby_ssp_pplus(chi, one, chi, -conjugate(this->lee[s]), chi, s, s+1); // chi[Ls]
}
}
template<class Impl>
void MobiusEOFAFermion<Impl>::MooeeInvDag_shift(const FermionField& psi, FermionField& chi)
{
Coeff_t one(1.0);
Coeff_t czero(0.0);
chi.checkerboard = psi.checkerboard;
int Ls = this->Ls;
FermionField tmp(psi._grid);
// Apply (U^{\prime})^{-dagger} and accumulate (MooeeInvDag_shift_lc)_{j} \psi_{j} in tmp[0]
axpby_ssp(chi, one, psi, czero, psi, 0, 0); // chi[0]=psi[0]
axpby_ssp(tmp, czero, tmp, this->MooeeInvDag_shift_lc[0], psi, 0, 0);
for(int s=1; s<Ls; s++){
axpby_ssp_pminus(chi, one, psi, -conjugate(this->uee[s-1]), chi, s, s-1);
axpby_ssp(tmp, one, tmp, this->MooeeInvDag_shift_lc[s], psi, 0, s);
}
// U_m^{-\dagger}
for(int s=0; s<Ls-1; s++){
axpby_ssp_pplus(chi, one, chi, -conjugate(this->ueem[s]), chi, Ls-1, s);
}
// L_m^{-\dagger} D^{-dagger}
for(int s=0; s<Ls-1; s++){
axpby_ssp_pminus(chi, one/conjugate(this->dee[s]), chi, -conjugate(this->leem[s]/this->dee[Ls-1]), chi, s, Ls-1);
}
axpby_ssp(chi, one/conjugate(this->dee[Ls-1]), chi, czero, chi, Ls-1, Ls-1);
// Apply L^{-dagger} and add shift
if(this->pm == 1){ axpby_ssp_pplus(chi, one, chi, this->MooeeInvDag_shift_norm[Ls-1], tmp, Ls-1, 0); }
else{ axpby_ssp_pminus(chi, one, chi, this->MooeeInvDag_shift_norm[Ls-1], tmp, Ls-1, 0); }
for(int s=Ls-2; s>=0; s--){
axpby_ssp_pplus(chi, one, chi, -conjugate(this->lee[s]), chi, s, s+1); // chi[Ls]
if(this->pm == 1){ axpby_ssp_pplus(chi, one, chi, this->MooeeInvDag_shift_norm[s], tmp, s, 0); }
else{ axpby_ssp_pminus(chi, one, chi, this->MooeeInvDag_shift_norm[s], tmp, s, 0); }
}
}
#ifdef MOBIUS_EOFA_DPERP_LINALG
INSTANTIATE_DPERP_MOBIUS_EOFA(WilsonImplF);
INSTANTIATE_DPERP_MOBIUS_EOFA(WilsonImplD);
INSTANTIATE_DPERP_MOBIUS_EOFA(GparityWilsonImplF);
INSTANTIATE_DPERP_MOBIUS_EOFA(GparityWilsonImplD);
INSTANTIATE_DPERP_MOBIUS_EOFA(ZWilsonImplF);
INSTANTIATE_DPERP_MOBIUS_EOFA(ZWilsonImplD);
INSTANTIATE_DPERP_MOBIUS_EOFA(WilsonImplFH);
INSTANTIATE_DPERP_MOBIUS_EOFA(WilsonImplDF);
INSTANTIATE_DPERP_MOBIUS_EOFA(GparityWilsonImplFH);
INSTANTIATE_DPERP_MOBIUS_EOFA(GparityWilsonImplDF);
INSTANTIATE_DPERP_MOBIUS_EOFA(ZWilsonImplFH);
INSTANTIATE_DPERP_MOBIUS_EOFA(ZWilsonImplDF);
#endif
}}

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lib/qcd/action/fermion/MobiusEOFAFermionvec.cc Normal file
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/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/qcd/action/fermion/MobiusEOFAFermionvec.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/qcd/action/fermion/FermionCore.h>
#include <Grid/qcd/action/fermion/MobiusEOFAFermion.h>
namespace Grid {
namespace QCD {
/*
* Dense matrix versions of routines
*/
template<class Impl>
void MobiusEOFAFermion<Impl>::MooeeInv(const FermionField& psi, FermionField& chi)
{
this->MooeeInternal(psi, chi, DaggerNo, InverseYes);
}
template<class Impl>
void MobiusEOFAFermion<Impl>::MooeeInv_shift(const FermionField& psi, FermionField& chi)
{
this->MooeeInternal(psi, chi, DaggerNo, InverseYes);
}
template<class Impl>
void MobiusEOFAFermion<Impl>::MooeeInvDag(const FermionField& psi, FermionField& chi)
{
this->MooeeInternal(psi, chi, DaggerYes, InverseYes);
}
template<class Impl>
void MobiusEOFAFermion<Impl>::MooeeInvDag_shift(const FermionField& psi, FermionField& chi)
{
this->MooeeInternal(psi, chi, DaggerYes, InverseYes);
}
template<class Impl>
void MobiusEOFAFermion<Impl>::M5D(const FermionField& psi, const FermionField& phi,
FermionField& chi, std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper)
{
GridBase* grid = psi._grid;
int Ls = this->Ls;
int LLs = grid->_rdimensions[0];
const int nsimd = Simd::Nsimd();
Vector<iSinglet<Simd>> u(LLs);
Vector<iSinglet<Simd>> l(LLs);
Vector<iSinglet<Simd>> d(LLs);
assert(Ls/LLs == nsimd);
assert(phi.checkerboard == psi.checkerboard);
chi.checkerboard = psi.checkerboard;
// just directly address via type pun
typedef typename Simd::scalar_type scalar_type;
scalar_type* u_p = (scalar_type*) &u[0];
scalar_type* l_p = (scalar_type*) &l[0];
scalar_type* d_p = (scalar_type*) &d[0];
for(int o=0; o<LLs; o++){ // outer
for(int i=0; i<nsimd; i++){ //inner
int s = o + i*LLs;
int ss = o*nsimd + i;
u_p[ss] = upper[s];
l_p[ss] = lower[s];
d_p[ss] = diag[s];
}}
this->M5Dcalls++;
this->M5Dtime -= usecond();
assert(Nc == 3);
parallel_for(int ss=0; ss<grid->oSites(); ss+=LLs){ // adds LLs
#if 0
alignas(64) SiteHalfSpinor hp;
alignas(64) SiteHalfSpinor hm;
alignas(64) SiteSpinor fp;
alignas(64) SiteSpinor fm;
for(int v=0; v<LLs; v++){
int vp = (v+1)%LLs;
int vm = (v+LLs-1)%LLs;
spProj5m(hp, psi[ss+vp]);
spProj5p(hm, psi[ss+vm]);
if (vp <= v){ rotate(hp, hp, 1); }
if (vm >= v){ rotate(hm, hm, nsimd-1); }
hp = 0.5*hp;
hm = 0.5*hm;
spRecon5m(fp, hp);
spRecon5p(fm, hm);
chi[ss+v] = d[v]*phi[ss+v];
chi[ss+v] = chi[ss+v] + u[v]*fp;
chi[ss+v] = chi[ss+v] + l[v]*fm;
}
#else
for(int v=0; v<LLs; v++){
vprefetch(psi[ss+v+LLs]);
int vp = (v == LLs-1) ? 0 : v+1;
int vm = (v == 0) ? LLs-1 : v-1;
Simd hp_00 = psi[ss+vp]()(2)(0);
Simd hp_01 = psi[ss+vp]()(2)(1);
Simd hp_02 = psi[ss+vp]()(2)(2);
Simd hp_10 = psi[ss+vp]()(3)(0);
Simd hp_11 = psi[ss+vp]()(3)(1);
Simd hp_12 = psi[ss+vp]()(3)(2);
Simd hm_00 = psi[ss+vm]()(0)(0);
Simd hm_01 = psi[ss+vm]()(0)(1);
Simd hm_02 = psi[ss+vm]()(0)(2);
Simd hm_10 = psi[ss+vm]()(1)(0);
Simd hm_11 = psi[ss+vm]()(1)(1);
Simd hm_12 = psi[ss+vm]()(1)(2);
if(vp <= v){
hp_00.v = Optimization::Rotate::tRotate<2>(hp_00.v);
hp_01.v = Optimization::Rotate::tRotate<2>(hp_01.v);
hp_02.v = Optimization::Rotate::tRotate<2>(hp_02.v);
hp_10.v = Optimization::Rotate::tRotate<2>(hp_10.v);
hp_11.v = Optimization::Rotate::tRotate<2>(hp_11.v);
hp_12.v = Optimization::Rotate::tRotate<2>(hp_12.v);
}
if(vm >= v){
hm_00.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_00.v);
hm_01.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_01.v);
hm_02.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_02.v);
hm_10.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_10.v);
hm_11.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_11.v);
hm_12.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_12.v);
}
// Can force these to real arithmetic and save 2x.
Simd p_00 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(0)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_00);
Simd p_01 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(1)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_01);
Simd p_02 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(2)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_02);
Simd p_10 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(0)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_10);
Simd p_11 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(1)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_11);
Simd p_12 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(2)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_12);
Simd p_20 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(0)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_00);
Simd p_21 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(1)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_01);
Simd p_22 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(2)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_02);
Simd p_30 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(0)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_10);
Simd p_31 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(1)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_11);
Simd p_32 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(2)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_12);
vstream(chi[ss+v]()(0)(0), p_00);
vstream(chi[ss+v]()(0)(1), p_01);
vstream(chi[ss+v]()(0)(2), p_02);
vstream(chi[ss+v]()(1)(0), p_10);
vstream(chi[ss+v]()(1)(1), p_11);
vstream(chi[ss+v]()(1)(2), p_12);
vstream(chi[ss+v]()(2)(0), p_20);
vstream(chi[ss+v]()(2)(1), p_21);
vstream(chi[ss+v]()(2)(2), p_22);
vstream(chi[ss+v]()(3)(0), p_30);
vstream(chi[ss+v]()(3)(1), p_31);
vstream(chi[ss+v]()(3)(2), p_32);
}
#endif
}
this->M5Dtime += usecond();
}
template<class Impl>
void MobiusEOFAFermion<Impl>::M5D_shift(const FermionField& psi, const FermionField& phi,
FermionField& chi, std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper,
std::vector<Coeff_t>& shift_coeffs)
{
this->M5D(psi, phi, chi, lower, diag, upper);
// FIXME: possible gain from vectorizing shift operation as well?
Coeff_t one(1.0);
int Ls = this->Ls;
for(int s=0; s<Ls; s++){
if(this->pm == 1){ axpby_ssp_pplus(chi, one, chi, shift_coeffs[s], psi, s, Ls-1); }
else{ axpby_ssp_pminus(chi, one, chi, shift_coeffs[s], psi, s, 0); }
}
}
template<class Impl>
void MobiusEOFAFermion<Impl>::M5Ddag(const FermionField& psi, const FermionField& phi,
FermionField& chi, std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper)
{
GridBase* grid = psi._grid;
int Ls = this->Ls;
int LLs = grid->_rdimensions[0];
int nsimd = Simd::Nsimd();
Vector<iSinglet<Simd> > u(LLs);
Vector<iSinglet<Simd> > l(LLs);
Vector<iSinglet<Simd> > d(LLs);
assert(Ls/LLs == nsimd);
assert(phi.checkerboard == psi.checkerboard);
chi.checkerboard = psi.checkerboard;
// just directly address via type pun
typedef typename Simd::scalar_type scalar_type;
scalar_type* u_p = (scalar_type*) &u[0];
scalar_type* l_p = (scalar_type*) &l[0];
scalar_type* d_p = (scalar_type*) &d[0];
for(int o=0; o<LLs; o++){ // outer
for(int i=0; i<nsimd; i++){ //inner
int s = o + i*LLs;
int ss = o*nsimd + i;
u_p[ss] = upper[s];
l_p[ss] = lower[s];
d_p[ss] = diag[s];
}}
this->M5Dcalls++;
this->M5Dtime -= usecond();
parallel_for(int ss=0; ss<grid->oSites(); ss+=LLs){ // adds LLs
#if 0
alignas(64) SiteHalfSpinor hp;
alignas(64) SiteHalfSpinor hm;
alignas(64) SiteSpinor fp;
alignas(64) SiteSpinor fm;
for(int v=0; v<LLs; v++){
int vp = (v+1)%LLs;
int vm = (v+LLs-1)%LLs;
spProj5p(hp, psi[ss+vp]);
spProj5m(hm, psi[ss+vm]);
if(vp <= v){ rotate(hp, hp, 1); }
if(vm >= v){ rotate(hm, hm, nsimd-1); }
hp = hp*0.5;
hm = hm*0.5;
spRecon5p(fp, hp);
spRecon5m(fm, hm);
chi[ss+v] = d[v]*phi[ss+v]+u[v]*fp;
chi[ss+v] = chi[ss+v] +l[v]*fm;
}
#else
for(int v=0; v<LLs; v++){
vprefetch(psi[ss+v+LLs]);
int vp = (v == LLs-1) ? 0 : v+1;
int vm = (v == 0 ) ? LLs-1 : v-1;
Simd hp_00 = psi[ss+vp]()(0)(0);
Simd hp_01 = psi[ss+vp]()(0)(1);
Simd hp_02 = psi[ss+vp]()(0)(2);
Simd hp_10 = psi[ss+vp]()(1)(0);
Simd hp_11 = psi[ss+vp]()(1)(1);
Simd hp_12 = psi[ss+vp]()(1)(2);
Simd hm_00 = psi[ss+vm]()(2)(0);
Simd hm_01 = psi[ss+vm]()(2)(1);
Simd hm_02 = psi[ss+vm]()(2)(2);
Simd hm_10 = psi[ss+vm]()(3)(0);
Simd hm_11 = psi[ss+vm]()(3)(1);
Simd hm_12 = psi[ss+vm]()(3)(2);
if (vp <= v){
hp_00.v = Optimization::Rotate::tRotate<2>(hp_00.v);
hp_01.v = Optimization::Rotate::tRotate<2>(hp_01.v);
hp_02.v = Optimization::Rotate::tRotate<2>(hp_02.v);
hp_10.v = Optimization::Rotate::tRotate<2>(hp_10.v);
hp_11.v = Optimization::Rotate::tRotate<2>(hp_11.v);
hp_12.v = Optimization::Rotate::tRotate<2>(hp_12.v);
}
if(vm >= v){
hm_00.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_00.v);
hm_01.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_01.v);
hm_02.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_02.v);
hm_10.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_10.v);
hm_11.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_11.v);
hm_12.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hm_12.v);
}
Simd p_00 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(0)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_00);
Simd p_01 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(1)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_01);
Simd p_02 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(2)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_02);
Simd p_10 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(0)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_10);
Simd p_11 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(1)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_11);
Simd p_12 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(2)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_12);
Simd p_20 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(0)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_00);
Simd p_21 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(1)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_01);
Simd p_22 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(2)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_02);
Simd p_30 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(0)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_10);
Simd p_31 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(1)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_11);
Simd p_32 = switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(2)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_12);
vstream(chi[ss+v]()(0)(0), p_00);
vstream(chi[ss+v]()(0)(1), p_01);
vstream(chi[ss+v]()(0)(2), p_02);
vstream(chi[ss+v]()(1)(0), p_10);
vstream(chi[ss+v]()(1)(1), p_11);
vstream(chi[ss+v]()(1)(2), p_12);
vstream(chi[ss+v]()(2)(0), p_20);
vstream(chi[ss+v]()(2)(1), p_21);
vstream(chi[ss+v]()(2)(2), p_22);
vstream(chi[ss+v]()(3)(0), p_30);
vstream(chi[ss+v]()(3)(1), p_31);
vstream(chi[ss+v]()(3)(2), p_32);
}
#endif
}
this->M5Dtime += usecond();
}
template<class Impl>
void MobiusEOFAFermion<Impl>::M5Ddag_shift(const FermionField& psi, const FermionField& phi,
FermionField& chi, std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper,
std::vector<Coeff_t>& shift_coeffs)
{
this->M5Ddag(psi, phi, chi, lower, diag, upper);
// FIXME: possible gain from vectorizing shift operation as well?
Coeff_t one(1.0);
int Ls = this->Ls;
for(int s=0; s<Ls; s++){
if(this->pm == 1){ axpby_ssp_pplus(chi, one, chi, shift_coeffs[s], psi, Ls-1, s); }
else{ axpby_ssp_pminus(chi, one, chi, shift_coeffs[s], psi, 0, s); }
}
}
#ifdef AVX512
#include<simd/Intel512common.h>
#include<simd/Intel512avx.h>
#include<simd/Intel512single.h>
#endif
template<class Impl>
void MobiusEOFAFermion<Impl>::MooeeInternalAsm(const FermionField& psi, FermionField& chi,
int LLs, int site, Vector<iSinglet<Simd> >& Matp, Vector<iSinglet<Simd> >& Matm)
{
#ifndef AVX512
{
SiteHalfSpinor BcastP;
SiteHalfSpinor BcastM;
SiteHalfSpinor SiteChiP;
SiteHalfSpinor SiteChiM;
// Ls*Ls * 2 * 12 * vol flops
for(int s1=0; s1<LLs; s1++){
for(int s2=0; s2<LLs; s2++){
for(int l=0; l < Simd::Nsimd(); l++){ // simd lane
int s = s2 + l*LLs;
int lex = s2 + LLs*site;
if( s2==0 && l==0 ){
SiteChiP=zero;
SiteChiM=zero;
}
for(int sp=0; sp<2; sp++){
for(int co=0; co<Nc; co++){
vbroadcast(BcastP()(sp)(co), psi[lex]()(sp)(co), l);
}}
for(int sp=0; sp<2; sp++){
for(int co=0; co<Nc; co++){
vbroadcast(BcastM()(sp)(co), psi[lex]()(sp+2)(co), l);
}}
for(int sp=0; sp<2; sp++){
for(int co=0; co<Nc; co++){
SiteChiP()(sp)(co) = real_madd(Matp[LLs*s+s1]()()(), BcastP()(sp)(co), SiteChiP()(sp)(co)); // 1100 us.
SiteChiM()(sp)(co) = real_madd(Matm[LLs*s+s1]()()(), BcastM()(sp)(co), SiteChiM()(sp)(co)); // each found by commenting out
}}
}}
{
int lex = s1 + LLs*site;
for(int sp=0; sp<2; sp++){
for(int co=0; co<Nc; co++){
vstream(chi[lex]()(sp)(co), SiteChiP()(sp)(co));
vstream(chi[lex]()(sp+2)(co), SiteChiM()(sp)(co));
}}
}
}
}
#else
{
// pointers
// MASK_REGS;
#define Chi_00 %%zmm1
#define Chi_01 %%zmm2
#define Chi_02 %%zmm3
#define Chi_10 %%zmm4
#define Chi_11 %%zmm5
#define Chi_12 %%zmm6
#define Chi_20 %%zmm7
#define Chi_21 %%zmm8
#define Chi_22 %%zmm9
#define Chi_30 %%zmm10
#define Chi_31 %%zmm11
#define Chi_32 %%zmm12
#define BCAST0 %%zmm13
#define BCAST1 %%zmm14
#define BCAST2 %%zmm15
#define BCAST3 %%zmm16
#define BCAST4 %%zmm17
#define BCAST5 %%zmm18
#define BCAST6 %%zmm19
#define BCAST7 %%zmm20
#define BCAST8 %%zmm21
#define BCAST9 %%zmm22
#define BCAST10 %%zmm23
#define BCAST11 %%zmm24
int incr = LLs*LLs*sizeof(iSinglet<Simd>);
for(int s1=0; s1<LLs; s1++){
for(int s2=0; s2<LLs; s2++){
int lex = s2 + LLs*site;
uint64_t a0 = (uint64_t) &Matp[LLs*s2+s1]; // should be cacheable
uint64_t a1 = (uint64_t) &Matm[LLs*s2+s1];
uint64_t a2 = (uint64_t) &psi[lex];
for(int l=0; l<Simd::Nsimd(); l++){ // simd lane
if((s2+l)==0) {
asm(
VPREFETCH1(0,%2) VPREFETCH1(0,%1)
VPREFETCH1(12,%2) VPREFETCH1(13,%2)
VPREFETCH1(14,%2) VPREFETCH1(15,%2)
VBCASTCDUP(0,%2,BCAST0)
VBCASTCDUP(1,%2,BCAST1)
VBCASTCDUP(2,%2,BCAST2)
VBCASTCDUP(3,%2,BCAST3)
VBCASTCDUP(4,%2,BCAST4) VMULMEM(0,%0,BCAST0,Chi_00)
VBCASTCDUP(5,%2,BCAST5) VMULMEM(0,%0,BCAST1,Chi_01)
VBCASTCDUP(6,%2,BCAST6) VMULMEM(0,%0,BCAST2,Chi_02)
VBCASTCDUP(7,%2,BCAST7) VMULMEM(0,%0,BCAST3,Chi_10)
VBCASTCDUP(8,%2,BCAST8) VMULMEM(0,%0,BCAST4,Chi_11)
VBCASTCDUP(9,%2,BCAST9) VMULMEM(0,%0,BCAST5,Chi_12)
VBCASTCDUP(10,%2,BCAST10) VMULMEM(0,%1,BCAST6,Chi_20)
VBCASTCDUP(11,%2,BCAST11) VMULMEM(0,%1,BCAST7,Chi_21)
VMULMEM(0,%1,BCAST8,Chi_22)
VMULMEM(0,%1,BCAST9,Chi_30)
VMULMEM(0,%1,BCAST10,Chi_31)
VMULMEM(0,%1,BCAST11,Chi_32)
: : "r" (a0), "r" (a1), "r" (a2) );
} else {
asm(
VBCASTCDUP(0,%2,BCAST0) VMADDMEM(0,%0,BCAST0,Chi_00)
VBCASTCDUP(1,%2,BCAST1) VMADDMEM(0,%0,BCAST1,Chi_01)
VBCASTCDUP(2,%2,BCAST2) VMADDMEM(0,%0,BCAST2,Chi_02)
VBCASTCDUP(3,%2,BCAST3) VMADDMEM(0,%0,BCAST3,Chi_10)
VBCASTCDUP(4,%2,BCAST4) VMADDMEM(0,%0,BCAST4,Chi_11)
VBCASTCDUP(5,%2,BCAST5) VMADDMEM(0,%0,BCAST5,Chi_12)
VBCASTCDUP(6,%2,BCAST6) VMADDMEM(0,%1,BCAST6,Chi_20)
VBCASTCDUP(7,%2,BCAST7) VMADDMEM(0,%1,BCAST7,Chi_21)
VBCASTCDUP(8,%2,BCAST8) VMADDMEM(0,%1,BCAST8,Chi_22)
VBCASTCDUP(9,%2,BCAST9) VMADDMEM(0,%1,BCAST9,Chi_30)
VBCASTCDUP(10,%2,BCAST10) VMADDMEM(0,%1,BCAST10,Chi_31)
VBCASTCDUP(11,%2,BCAST11) VMADDMEM(0,%1,BCAST11,Chi_32)
: : "r" (a0), "r" (a1), "r" (a2) );
}
a0 = a0 + incr;
a1 = a1 + incr;
a2 = a2 + sizeof(Simd::scalar_type);
}
}
{
int lexa = s1+LLs*site;
asm (
VSTORE(0,%0,Chi_00) VSTORE(1 ,%0,Chi_01) VSTORE(2 ,%0,Chi_02)
VSTORE(3,%0,Chi_10) VSTORE(4 ,%0,Chi_11) VSTORE(5 ,%0,Chi_12)
VSTORE(6,%0,Chi_20) VSTORE(7 ,%0,Chi_21) VSTORE(8 ,%0,Chi_22)
VSTORE(9,%0,Chi_30) VSTORE(10,%0,Chi_31) VSTORE(11,%0,Chi_32)
: : "r" ((uint64_t)&chi[lexa]) : "memory" );
}
}
}
#undef Chi_00
#undef Chi_01
#undef Chi_02
#undef Chi_10
#undef Chi_11
#undef Chi_12
#undef Chi_20
#undef Chi_21
#undef Chi_22
#undef Chi_30
#undef Chi_31
#undef Chi_32
#undef BCAST0
#undef BCAST1
#undef BCAST2
#undef BCAST3
#undef BCAST4
#undef BCAST5
#undef BCAST6
#undef BCAST7
#undef BCAST8
#undef BCAST9
#undef BCAST10
#undef BCAST11
#endif
};
// Z-mobius version
template<class Impl>
void MobiusEOFAFermion<Impl>::MooeeInternalZAsm(const FermionField& psi, FermionField& chi,
int LLs, int site, Vector<iSinglet<Simd> >& Matp, Vector<iSinglet<Simd> >& Matm)
{
std::cout << "Error: zMobius not implemented for EOFA" << std::endl;
exit(-1);
};
template<class Impl>
void MobiusEOFAFermion<Impl>::MooeeInternal(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;
Vector<iSinglet<Simd>> Matp;
Vector<iSinglet<Simd>> Matm;
Vector<iSinglet<Simd>>* _Matp;
Vector<iSinglet<Simd>>* _Matm;
// MooeeInternalCompute(dag,inv,Matp,Matm);
if(inv && dag){
_Matp = &this->MatpInvDag;
_Matm = &this->MatmInvDag;
}
if(inv && (!dag)){
_Matp = &this->MatpInv;
_Matm = &this->MatmInv;
}
if(!inv){
MooeeInternalCompute(dag, inv, Matp, Matm);
_Matp = &Matp;
_Matm = &Matm;
}
assert(_Matp->size() == Ls*LLs);
this->MooeeInvCalls++;
this->MooeeInvTime -= usecond();
if(switcheroo<Coeff_t>::iscomplex()){
parallel_for(auto site=0; site<vol; site++){
MooeeInternalZAsm(psi, chi, LLs, site, *_Matp, *_Matm);
}
} else {
parallel_for(auto site=0; site<vol; site++){
MooeeInternalAsm(psi, chi, LLs, site, *_Matp, *_Matm);
}
}
this->MooeeInvTime += usecond();
}
#ifdef MOBIUS_EOFA_DPERP_VEC
INSTANTIATE_DPERP_MOBIUS_EOFA(DomainWallVec5dImplD);
INSTANTIATE_DPERP_MOBIUS_EOFA(DomainWallVec5dImplF);
INSTANTIATE_DPERP_MOBIUS_EOFA(ZDomainWallVec5dImplD);
INSTANTIATE_DPERP_MOBIUS_EOFA(ZDomainWallVec5dImplF);
INSTANTIATE_DPERP_MOBIUS_EOFA(DomainWallVec5dImplDF);
INSTANTIATE_DPERP_MOBIUS_EOFA(DomainWallVec5dImplFH);
INSTANTIATE_DPERP_MOBIUS_EOFA(ZDomainWallVec5dImplDF);
INSTANTIATE_DPERP_MOBIUS_EOFA(ZDomainWallVec5dImplFH);
template void MobiusEOFAFermion<DomainWallVec5dImplF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
template void MobiusEOFAFermion<DomainWallVec5dImplD>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
template void MobiusEOFAFermion<ZDomainWallVec5dImplF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
template void MobiusEOFAFermion<ZDomainWallVec5dImplD>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
template void MobiusEOFAFermion<DomainWallVec5dImplFH>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
template void MobiusEOFAFermion<DomainWallVec5dImplDF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
template void MobiusEOFAFermion<ZDomainWallVec5dImplFH>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
template void MobiusEOFAFermion<ZDomainWallVec5dImplDF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
#endif
}}

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tests/core/Test_mobius_eofa_even_odd.cc Normal file
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/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./tests/core/Test_dwf_eofa_even_odd.cc
Copyright (C) 2017
Author: Peter Boyle <paboyle@ph.ed.ac.uk>
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.h>
using namespace std;
using namespace Grid;
using namespace Grid::QCD;
template<class d>
struct scal {
d internal;
};
Gamma::Algebra Gmu [] = {
Gamma::Algebra::GammaX,
Gamma::Algebra::GammaY,
Gamma::Algebra::GammaZ,
Gamma::Algebra::GammaT
};
int main (int argc, char ** argv)
{
Grid_init(&argc, &argv);
int threads = GridThread::GetThreads();
std::cout << GridLogMessage << "Grid is setup to use " << threads << " threads" << std::endl;
const int Ls = 8;
// GridCartesian* UGrid = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplex::Nsimd()), GridDefaultMpi());
GridCartesian* UGrid = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplex::Nsimd()), GridDefaultMpi());
GridCartesian* FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls, UGrid);
GridRedBlackCartesian* UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
GridRedBlackCartesian* FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls, UGrid);
std::vector<int> seeds4({1,2,3,4});
std::vector<int> seeds5({5,6,7,8});
GridParallelRNG RNG4(UGrid); RNG4.SeedFixedIntegers(seeds4);
GridParallelRNG RNG5(FGrid); RNG5.SeedFixedIntegers(seeds5);
LatticeFermion src (FGrid); random(RNG5, src);
LatticeFermion phi (FGrid); random(RNG5, phi);
LatticeFermion chi (FGrid); random(RNG5, chi);
LatticeFermion result(FGrid); result = zero;
LatticeFermion ref (FGrid); ref = zero;
LatticeFermion tmp (FGrid); tmp = zero;
LatticeFermion err (FGrid); err = zero;
LatticeGaugeField Umu (UGrid); SU3::HotConfiguration(RNG4, Umu);
std::vector<LatticeColourMatrix> U(4,UGrid);
// Only one non-zero (y)
Umu = zero;
for(int nn=0; nn<Nd; nn++){
random(RNG4, U[nn]);
if(nn>0){ U[nn] = zero; }
PokeIndex<LorentzIndex>(Umu, U[nn], nn);
}
RealD b = 2.5;
RealD c = 1.5;
RealD mq1 = 0.1;
RealD mq2 = 0.5;
RealD mq3 = 1.0;
RealD shift = 0.1234;
RealD M5 = 1.8;
int pm = 1;
MobiusEOFAFermionR Ddwf(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mq1, mq2, mq3, shift, pm, M5, b, c);
LatticeFermion src_e (FrbGrid);
LatticeFermion src_o (FrbGrid);
LatticeFermion r_e (FrbGrid);
LatticeFermion r_o (FrbGrid);
LatticeFermion r_eo (FGrid);
LatticeFermion r_eeoo(FGrid);
std::cout << GridLogMessage << "==========================================================" << std::endl;
std::cout << GridLogMessage << "= Testing that Meo + Moe + Moo + Mee = Munprec " << std::endl;
std::cout << GridLogMessage << "==========================================================" << std::endl;
pickCheckerboard(Even, src_e, src);
pickCheckerboard(Odd, src_o, src);
Ddwf.Meooe(src_e, r_o); std::cout << GridLogMessage << "Applied Meo" << std::endl;
Ddwf.Meooe(src_o, r_e); std::cout << GridLogMessage << "Applied Moe" << std::endl;
setCheckerboard(r_eo, r_o);
setCheckerboard(r_eo, r_e);
Ddwf.Mooee(src_e, r_e); std::cout << GridLogMessage << "Applied Mee" << std::endl;
Ddwf.Mooee(src_o, r_o); std::cout << GridLogMessage << "Applied Moo" << std::endl;
setCheckerboard(r_eeoo, r_e);
setCheckerboard(r_eeoo, r_o);
r_eo = r_eo + r_eeoo;
Ddwf.M(src, ref);
// std::cout << GridLogMessage << r_eo << std::endl;
// std::cout << GridLogMessage << ref << std::endl;
err = ref - r_eo;
std::cout << GridLogMessage << "EO norm diff " << norm2(err) << " " << norm2(ref) << " " << norm2(r_eo) << std::endl;
LatticeComplex cerr(FGrid);
cerr = localInnerProduct(err,err);
// std::cout << GridLogMessage << cerr << std::endl;
std::cout << GridLogMessage << "==============================================================" << std::endl;
std::cout << GridLogMessage << "= Test Ddagger is the dagger of D by requiring " << std::endl;
std::cout << GridLogMessage << "= < phi | Deo | chi > * = < chi | Deo^dag| phi> " << std::endl;
std::cout << GridLogMessage << "==============================================================" << std::endl;
LatticeFermion chi_e (FrbGrid);
LatticeFermion chi_o (FrbGrid);
LatticeFermion dchi_e(FrbGrid);
LatticeFermion dchi_o(FrbGrid);
LatticeFermion phi_e (FrbGrid);
LatticeFermion phi_o (FrbGrid);
LatticeFermion dphi_e(FrbGrid);
LatticeFermion dphi_o(FrbGrid);
pickCheckerboard(Even, chi_e, chi);
pickCheckerboard(Odd , chi_o, chi);
pickCheckerboard(Even, phi_e, phi);
pickCheckerboard(Odd , phi_o, phi);
Ddwf.Meooe (chi_e, dchi_o);
Ddwf.Meooe (chi_o, dchi_e);
Ddwf.MeooeDag(phi_e, dphi_o);
Ddwf.MeooeDag(phi_o, dphi_e);
ComplexD pDce = innerProduct(phi_e, dchi_e);
ComplexD pDco = innerProduct(phi_o, dchi_o);
ComplexD cDpe = innerProduct(chi_e, dphi_e);
ComplexD cDpo = innerProduct(chi_o, dphi_o);
std::cout << GridLogMessage << "e " << pDce << " " << cDpe << std::endl;
std::cout << GridLogMessage << "o " << pDco << " " << cDpo << std::endl;
std::cout << GridLogMessage << "pDce - conj(cDpo) " << pDce-conj(cDpo) << std::endl;
std::cout << GridLogMessage << "pDco - conj(cDpe) " << pDco-conj(cDpe) << std::endl;
std::cout << GridLogMessage << "==============================================================" << std::endl;
std::cout << GridLogMessage << "= Test MeeInv Mee = 1 " << std::endl;
std::cout << GridLogMessage << "==============================================================" << std::endl;
pickCheckerboard(Even, chi_e, chi);
pickCheckerboard(Odd , chi_o, chi);
Ddwf.Mooee (chi_e, src_e);
Ddwf.MooeeInv(src_e, phi_e);
Ddwf.Mooee (chi_o, src_o);
Ddwf.MooeeInv(src_o, phi_o);
setCheckerboard(phi, phi_e);
setCheckerboard(phi, phi_o);
err = phi - chi;
std::cout << GridLogMessage << "norm diff " << norm2(err) << std::endl;
std::cout << GridLogMessage << "==============================================================" << std::endl;
std::cout << GridLogMessage << "= Test MeeInvDag MeeDag = 1 " << std::endl;
std::cout << GridLogMessage << "==============================================================" << std::endl;
pickCheckerboard(Even, chi_e, chi);
pickCheckerboard(Odd , chi_o, chi);
Ddwf.MooeeDag (chi_e, src_e);
Ddwf.MooeeInvDag(src_e, phi_e);
Ddwf.MooeeDag (chi_o, src_o);
Ddwf.MooeeInvDag(src_o, phi_o);
setCheckerboard(phi, phi_e);
setCheckerboard(phi, phi_o);
err = phi - chi;
std::cout << GridLogMessage << "norm diff " << norm2(err) << std::endl;
std::cout << GridLogMessage << "==============================================================" << std::endl;
std::cout << GridLogMessage << "= Test MpcDagMpc is Hermitian " << std::endl;
std::cout << GridLogMessage << "==============================================================" << std::endl;
random(RNG5, phi);
random(RNG5, chi);
pickCheckerboard(Even, chi_e, chi);
pickCheckerboard(Odd , chi_o, chi);
pickCheckerboard(Even, phi_e, phi);
pickCheckerboard(Odd , phi_o, phi);
RealD t1,t2;
SchurDiagMooeeOperator<MobiusEOFAFermionR,LatticeFermion> HermOpEO(Ddwf);
HermOpEO.MpcDagMpc(chi_e, dchi_e, t1, t2);
HermOpEO.MpcDagMpc(chi_o, dchi_o, t1, t2);
HermOpEO.MpcDagMpc(phi_e, dphi_e, t1, t2);
HermOpEO.MpcDagMpc(phi_o, dphi_o, t1, t2);
pDce = innerProduct(phi_e, dchi_e);
pDco = innerProduct(phi_o, dchi_o);
cDpe = innerProduct(chi_e, dphi_e);
cDpo = innerProduct(chi_o, dphi_o);
std::cout << GridLogMessage << "e " << pDce << " " << cDpe << std::endl;
std::cout << GridLogMessage << "o " << pDco << " " << cDpo << std::endl;
std::cout << GridLogMessage << "pDce - conj(cDpo) " << pDco-conj(cDpo) << std::endl;
std::cout << GridLogMessage << "pDco - conj(cDpe) " << pDce-conj(cDpe) << std::endl;
Grid_finalize();
}

104
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/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./tests/debug/Test_heatbath_dwf_eofa.cc
Copyright (C) 2017
Author: Peter Boyle <paboyle@ph.ed.ac.uk>
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 */
//////////////////////////////////////////////////////////////////////////////////////////
// This program sets up the initial pseudofermion field |Phi> = Meofa^{-1/2}*|eta>, and
// then uses this Phi to compute the action <Phi|Meofa|Phi>.
// If all is working, one should find that <eta|eta> = <Phi|Meofa|Phi>.
//////////////////////////////////////////////////////////////////////////////////////////
#include <Grid/Grid.h>
using namespace std;
using namespace Grid;
using namespace Grid::QCD;
// Parameters for test
const std::vector<int> grid_dim = { 8, 8, 8, 8 };
const int Ls = 8;
const int Npoles = 12;
const RealD b = 2.5;
const RealD c = 1.5;
const RealD mf = 0.01;
const RealD mpv = 1.0;
const RealD M5 = 1.8;
int main(int argc, char** argv)
{
Grid_init(&argc, &argv);
int threads = GridThread::GetThreads();
std::cout << GridLogMessage << "Grid is set up to use " << threads << " threads" << std::endl;
// Initialize spacetime grid
std::cout << GridLogMessage << "Lattice dimensions: " << grid_dim << " Ls: " << Ls << std::endl;
GridCartesian* UGrid = SpaceTimeGrid::makeFourDimGrid(grid_dim,
GridDefaultSimd(Nd,vComplex::Nsimd()), GridDefaultMpi());
GridRedBlackCartesian* UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
GridCartesian* FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls, UGrid);
GridRedBlackCartesian* FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls, UGrid);
// Set up RNGs
std::vector<int> seeds4({1, 2, 3, 4});
std::vector<int> seeds5({5, 6, 7, 8});
GridParallelRNG RNG5(FGrid);
RNG5.SeedFixedIntegers(seeds5);
GridParallelRNG RNG4(UGrid);
RNG4.SeedFixedIntegers(seeds4);
// Random gauge field
LatticeGaugeField Umu(UGrid);
SU3::HotConfiguration(RNG4, Umu);
MobiusEOFAFermionR Lop(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mf, mf, mpv, 0.0, -1, M5, b, c);
MobiusEOFAFermionR Rop(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mpv, mf, mpv, -1.0, 1, M5, b, c);
// Construct the action and test the heatbath (zero initial guess)
{
OneFlavourRationalParams Params(0.95, 100.0, 5000, 1.0e-12, Npoles);
ConjugateGradient<LatticeFermion> CG(1.0e-12, 5000);
ExactOneFlavourRatioPseudoFermionAction<WilsonImplR> Meofa(Lop, Rop, CG, Params, false);
Meofa.refresh(Umu, RNG5);
printf("<Phi|Meofa|Phi> = %1.15e\n", Meofa.S(Umu));
}
// Construct the action and test the heatbath (forecasted initial guesses)
{
OneFlavourRationalParams Params(0.95, 100.0, 5000, 1.0e-12, Npoles);
ConjugateGradient<LatticeFermion> CG(1.0e-12, 5000);
ExactOneFlavourRatioPseudoFermionAction<WilsonImplR> Meofa(Lop, Rop, CG, Params, true);
Meofa.refresh(Umu, RNG5);
printf("<Phi|Meofa|Phi> = %1.15e\n", Meofa.S(Umu));
}
return 0;
}

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/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./tests/debug/Test_heatbath_dwf_eofa.cc
Copyright (C) 2017
Author: Peter Boyle <paboyle@ph.ed.ac.uk>
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 */
//////////////////////////////////////////////////////////////////////////////////////////
// This program sets up the initial pseudofermion field |Phi> = Meofa^{-1/2}*|eta>, and
// then uses this Phi to compute the action <Phi|Meofa|Phi>.
// If all is working, one should find that <eta|eta> = <Phi|Meofa|Phi>.
//////////////////////////////////////////////////////////////////////////////////////////
#include <Grid/Grid.h>
using namespace std;
using namespace Grid;
using namespace Grid::QCD;
typedef GparityWilsonImplR FermionImplPolicy;
typedef GparityMobiusEOFAFermionR FermionAction;
typedef typename FermionAction::FermionField FermionField;
// Parameters for test
const std::vector<int> grid_dim = { 8, 8, 8, 8 };
const int Ls = 8;
const int Npoles = 12;
const RealD b = 2.5;
const RealD c = 1.5;
const RealD mf = 0.01;
const RealD mpv = 1.0;
const RealD M5 = 1.8;
int main(int argc, char** argv)
{
Grid_init(&argc, &argv);
int threads = GridThread::GetThreads();
std::cout << GridLogMessage << "Grid is set up to use " << threads << " threads" << std::endl;
// Initialize spacetime grid
std::cout << GridLogMessage << "Lattice dimensions: " << grid_dim << " Ls: " << Ls << std::endl;
GridCartesian* UGrid = SpaceTimeGrid::makeFourDimGrid(grid_dim,
GridDefaultSimd(Nd,vComplex::Nsimd()), GridDefaultMpi());
GridRedBlackCartesian* UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
GridCartesian* FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls, UGrid);
GridRedBlackCartesian* FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls, UGrid);
// Set up RNGs
std::vector<int> seeds4({1, 2, 3, 4});
std::vector<int> seeds5({5, 6, 7, 8});
GridParallelRNG RNG5(FGrid);
RNG5.SeedFixedIntegers(seeds5);
GridParallelRNG RNG4(UGrid);
RNG4.SeedFixedIntegers(seeds4);
// Random gauge field
LatticeGaugeField Umu(UGrid);
SU3::HotConfiguration(RNG4, Umu);
FermionAction::ImplParams params;
FermionAction Lop(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mf, mf, mpv, 0.0, -1, M5, b, c, params);
FermionAction Rop(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mpv, mf, mpv, -1.0, 1, M5, b, c, params);
// Construct the action and test the heatbath (zero initial guess)
{
OneFlavourRationalParams Params(0.95, 100.0, 5000, 1.0e-12, Npoles);
ConjugateGradient<FermionField> CG(1.0e-12, 5000);
ExactOneFlavourRatioPseudoFermionAction<FermionImplPolicy> Meofa(Lop, Rop, CG, Params, false);
Meofa.refresh(Umu, RNG5);
printf("<Phi|Meofa|Phi> = %1.15e\n", Meofa.S(Umu));
}
// Construct the action and test the heatbath (forecasted initial guesses)
{
OneFlavourRationalParams Params(0.95, 100.0, 5000, 1.0e-12, Npoles);
ConjugateGradient<FermionField> CG(1.0e-12, 5000);
ExactOneFlavourRatioPseudoFermionAction<FermionImplPolicy> Meofa(Lop, Rop, CG, Params, true);
Meofa.refresh(Umu, RNG5);
printf("<Phi|Meofa|Phi> = %1.15e\n", Meofa.S(Umu));
}
return 0;
}

2
tests/debug/Test_reweight_dwf_eofa_gparity.cc
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@ -2,7 +2,7 @@
Grid physics library, www.github.com/paboyle/Grid
Source file: ./tests/debug/Test_reweight_dwf_eofa.cc
Source file: ./tests/debug/Test_reweight_dwf_eofa_gparity.cc
Copyright (C) 2017

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@ -0,0 +1,215 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./tests/debug/Test_reweight_dwf_eofa.cc
Copyright (C) 2017
Author: Peter Boyle <paboyle@ph.ed.ac.uk>
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.h>
using namespace std;
using namespace Grid;
using namespace Grid::QCD;
// parameters for test
const std::vector<int> grid_dim = { 8, 8, 8, 8 };
const int Ls = 8;
const int Nhits = 10;
const int max_iter = 5000;
const RealD b = 2.5;
const RealD c = 1.5;
const RealD mf = 0.1;
const RealD mb = 0.11;
const RealD M5 = 1.8;
const RealD stop_tol = 1.0e-12;
RealD mean(const std::vector<RealD>& data)
{
int N = data.size();
RealD mean(0.0);
for(int i=0; i<N; ++i){ mean += data[i]; }
return mean/RealD(N);
}
RealD jack_mean(const std::vector<RealD>& data, int sample)
{
int N = data.size();
RealD mean(0.0);
for(int i=0; i<N; ++i){ if(i != sample){ mean += data[i]; } }
return mean/RealD(N-1);
}
RealD jack_std(const std::vector<RealD>& jacks, RealD mean)
{
int N = jacks.size();
RealD std(0.0);
for(int i=0; i<N; ++i){ std += std::pow(jacks[i]-mean, 2.0); }
return std::sqrt(RealD(N-1)/RealD(N)*std);
}
std::vector<RealD> jack_stats(const std::vector<RealD>& data)
{
int N = data.size();
std::vector<RealD> jack_samples(N);
std::vector<RealD> jack_stats(2);
jack_stats[0] = mean(data);
for(int i=0; i<N; i++){ jack_samples[i] = jack_mean(data,i); }
jack_stats[1] = jack_std(jack_samples, jack_stats[0]);
return jack_stats;
}
int main(int argc, char **argv)
{
Grid_init(&argc, &argv);
// Initialize spacetime grid
std::cout << GridLogMessage << "Lattice dimensions: "
<< grid_dim << " Ls: " << Ls << std::endl;
GridCartesian* UGrid = SpaceTimeGrid::makeFourDimGrid(grid_dim,
GridDefaultSimd(Nd, vComplex::Nsimd()), GridDefaultMpi());
GridRedBlackCartesian* UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
GridCartesian* FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls, UGrid);
GridRedBlackCartesian* FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls, UGrid);
// Set up RNGs
std::vector<int> seeds4({1, 2, 3, 4});
std::vector<int> seeds5({5, 6, 7, 8});
GridParallelRNG RNG5(FGrid);
RNG5.SeedFixedIntegers(seeds5);
GridParallelRNG RNG4(UGrid);
RNG4.SeedFixedIntegers(seeds4);
// Random gauge field
LatticeGaugeField Umu(UGrid);
SU3::HotConfiguration(RNG4, Umu);
// Initialize RHMC fermion operators
MobiusFermionR Ddwf_f(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mf, M5, b, c);
MobiusFermionR Ddwf_b(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mb, M5, b, c);
SchurDiagMooeeOperator<MobiusFermionR, LatticeFermion> MdagM(Ddwf_f);
SchurDiagMooeeOperator<MobiusFermionR, LatticeFermion> VdagV(Ddwf_b);
// Degree 12 rational approximations to x^(1/4) and x^(-1/4)
double lo = 0.0001;
double hi = 95.0;
int precision = 64;
int degree = 12;
AlgRemez remez(lo, hi, precision);
std::cout << GridLogMessage << "Generating degree " << degree << " for x^(1/4)" << std::endl;
remez.generateApprox(degree, 1, 4);
MultiShiftFunction PowerQuarter(remez, stop_tol, false);
MultiShiftFunction PowerNegQuarter(remez, stop_tol, true);
// Stochastically estimate reweighting factor via RHMC
RealD scale = std::sqrt(0.5);
std::vector<RealD> rw_rhmc(Nhits);
ConjugateGradientMultiShift<LatticeFermion> msCG_V(max_iter, PowerQuarter);
ConjugateGradientMultiShift<LatticeFermion> msCG_M(max_iter, PowerNegQuarter);
std::cout.precision(12);
for(int hit=0; hit<Nhits; hit++){
// Gaussian source
LatticeFermion Phi (Ddwf_f.FermionGrid());
LatticeFermion PhiOdd (Ddwf_f.FermionRedBlackGrid());
std::vector<LatticeFermion> tmp(2, Ddwf_f.FermionRedBlackGrid());
gaussian(RNG5, Phi);
Phi = Phi*scale;
pickCheckerboard(Odd, PhiOdd, Phi);
// evaluate -log(rw)
msCG_V(VdagV, PhiOdd, tmp[0]);
msCG_M(MdagM, tmp[0], tmp[1]);
rw_rhmc[hit] = norm2(tmp[1]) - norm2(PhiOdd);
std::cout << std::endl << "==================================================" << std::endl;
std::cout << " --- RHMC: Hit " << hit << ": rw = " << rw_rhmc[hit];
std::cout << std::endl << "==================================================" << std::endl << std::endl;
}
// Initialize EOFA fermion operators
RealD shift_L = 0.0;
RealD shift_R = -1.0;
int pm = 1;
MobiusEOFAFermionR Deofa_L(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mf, mf, mb, shift_L, pm, M5, b, c);
MobiusEOFAFermionR Deofa_R(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mb, mf, mb, shift_R, pm, M5, b, c);
MdagMLinearOperator<MobiusEOFAFermionR, LatticeFermion> LdagL(Deofa_L);
MdagMLinearOperator<MobiusEOFAFermionR, LatticeFermion> RdagR(Deofa_R);
// Stochastically estimate reweighting factor via EOFA
RealD k = Deofa_L.k;
std::vector<RealD> rw_eofa(Nhits);
ConjugateGradient<LatticeFermion> CG(stop_tol, max_iter);
SchurRedBlackDiagMooeeSolve<LatticeFermion> SchurSolver(CG);
// Compute -log(Z), where: ( RHMC det ratio ) = Z * ( EOFA det ratio )
RealD Z = std::pow(b+c+1.0,Ls) + mf*std::pow(b+c-1.0,Ls);
Z /= std::pow(b+c+1.0,Ls) + mb*std::pow(b+c-1.0,Ls);
Z = -12.0*grid_dim[0]*grid_dim[1]*grid_dim[2]*grid_dim[3]*std::log(Z);
for(int hit=0; hit<Nhits; hit++){
// Gaussian source
LatticeFermion Phi (Deofa_L.FermionGrid());
LatticeFermion spProj_Phi(Deofa_L.FermionGrid());
std::vector<LatticeFermion> tmp(2, Deofa_L.FermionGrid());
gaussian(RNG5, Phi);
Phi = Phi*scale;
// evaluate -log(rw)
// LH term
for(int s=0; s<Ls; ++s){ axpby_ssp_pminus(spProj_Phi, 0.0, Phi, 1.0, Phi, s, s); }
Deofa_L.Omega(spProj_Phi, tmp[0], -1, 0);
G5R5(tmp[1], tmp[0]);
tmp[0] = zero;
SchurSolver(Deofa_L, tmp[1], tmp[0]);
Deofa_L.Dtilde(tmp[0], tmp[1]);
Deofa_L.Omega(tmp[1], tmp[0], -1, 1);
rw_eofa[hit] = Z - k*innerProduct(spProj_Phi,tmp[0]).real();
// RH term
for(int s=0; s<Ls; ++s){ axpby_ssp_pplus(spProj_Phi, 0.0, Phi, 1.0, Phi, s, s); }
Deofa_R.Omega(spProj_Phi, tmp[0], 1, 0);
G5R5(tmp[1], tmp[0]);
tmp[0] = zero;
SchurSolver(Deofa_R, tmp[1], tmp[0]);
Deofa_R.Dtilde(tmp[0], tmp[1]);
Deofa_R.Omega(tmp[1], tmp[0], 1, 1);
rw_eofa[hit] += k*innerProduct(spProj_Phi,tmp[0]).real();
std::cout << std::endl << "==================================================" << std::endl;
std::cout << " --- EOFA: Hit " << hit << ": rw = " << rw_eofa[hit];
std::cout << std::endl << "==================================================" << std::endl << std::endl;
}
std::vector<RealD> rhmc_result = jack_stats(rw_rhmc);
std::vector<RealD> eofa_result = jack_stats(rw_eofa);
std::cout << std::endl << "RHMC: rw = " << rhmc_result[0] << " +/- " << rhmc_result[1] << std::endl;
std::cout << std::endl << "EOFA: rw = " << eofa_result[0] << " +/- " << eofa_result[1] << std::endl;
Grid_finalize();
}

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/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./tests/debug/Test_reweight_dwf_eofa.cc
Copyright (C) 2017
Author: Peter Boyle <paboyle@ph.ed.ac.uk>
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.h>
using namespace std;
using namespace Grid;
using namespace Grid::QCD;
typedef typename GparityDomainWallFermionR::FermionField FermionField;
// parameters for test
const std::vector<int> grid_dim = { 8, 8, 8, 8 };
const int Ls = 8;
const int Nhits = 10;
const int max_iter = 5000;
const RealD b = 2.5;
const RealD c = 1.5;
const RealD mf = 0.1;
const RealD mb = 0.11;
const RealD M5 = 1.8;
const RealD stop_tol = 1.0e-12;
RealD mean(const std::vector<RealD>& data)
{
int N = data.size();
RealD mean(0.0);
for(int i=0; i<N; ++i){ mean += data[i]; }
return mean/RealD(N);
}
RealD jack_mean(const std::vector<RealD>& data, int sample)
{
int N = data.size();
RealD mean(0.0);
for(int i=0; i<N; ++i){ if(i != sample){ mean += data[i]; } }
return mean/RealD(N-1);
}
RealD jack_std(const std::vector<RealD>& jacks, RealD mean)
{
int N = jacks.size();
RealD std(0.0);
for(int i=0; i<N; ++i){ std += std::pow(jacks[i]-mean, 2.0); }
return std::sqrt(RealD(N-1)/RealD(N)*std);
}
std::vector<RealD> jack_stats(const std::vector<RealD>& data)
{
int N = data.size();
std::vector<RealD> jack_samples(N);
std::vector<RealD> jack_stats(2);
jack_stats[0] = mean(data);
for(int i=0; i<N; i++){ jack_samples[i] = jack_mean(data,i); }
jack_stats[1] = jack_std(jack_samples, jack_stats[0]);
return jack_stats;
}
int main(int argc, char **argv)
{
Grid_init(&argc, &argv);
// Initialize spacetime grid
std::cout << GridLogMessage << "Lattice dimensions: "
<< grid_dim << " Ls: " << Ls << std::endl;
GridCartesian* UGrid = SpaceTimeGrid::makeFourDimGrid(grid_dim,
GridDefaultSimd(Nd, vComplex::Nsimd()), GridDefaultMpi());
GridRedBlackCartesian* UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
GridCartesian* FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls, UGrid);
GridRedBlackCartesian* FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls, UGrid);
// Set up RNGs
std::vector<int> seeds4({1, 2, 3, 4});
std::vector<int> seeds5({5, 6, 7, 8});
GridParallelRNG RNG5(FGrid);
RNG5.SeedFixedIntegers(seeds5);
GridParallelRNG RNG4(UGrid);
RNG4.SeedFixedIntegers(seeds4);
// Random gauge field
LatticeGaugeField Umu(UGrid);
SU3::HotConfiguration(RNG4, Umu);
// Initialize RHMC fermion operators
GparityDomainWallFermionR::ImplParams params;
GparityMobiusFermionR Ddwf_f(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mf, M5, b, c, params);
GparityMobiusFermionR Ddwf_b(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mb, M5, b, c, params);
SchurDiagMooeeOperator<GparityMobiusFermionR, FermionField> MdagM(Ddwf_f);
SchurDiagMooeeOperator<GparityMobiusFermionR, FermionField> VdagV(Ddwf_b);
// Degree 12 rational approximations to x^(1/4) and x^(-1/4)
double lo = 0.0001;
double hi = 95.0;
int precision = 64;
int degree = 12;
AlgRemez remez(lo, hi, precision);
std::cout << GridLogMessage << "Generating degree " << degree << " for x^(1/4)" << std::endl;
remez.generateApprox(degree, 1, 4);
MultiShiftFunction PowerQuarter(remez, stop_tol, false);
MultiShiftFunction PowerNegQuarter(remez, stop_tol, true);
// Stochastically estimate reweighting factor via RHMC
RealD scale = std::sqrt(0.5);
std::vector<RealD> rw_rhmc(Nhits);
ConjugateGradientMultiShift<FermionField> msCG_V(max_iter, PowerQuarter);
ConjugateGradientMultiShift<FermionField> msCG_M(max_iter, PowerNegQuarter);
std::cout.precision(12);
for(int hit=0; hit<Nhits; hit++){
// Gaussian source
FermionField Phi (Ddwf_f.FermionGrid());
FermionField PhiOdd (Ddwf_f.FermionRedBlackGrid());
std::vector<FermionField> tmp(2, Ddwf_f.FermionRedBlackGrid());
gaussian(RNG5, Phi);
Phi = Phi*scale;
pickCheckerboard(Odd, PhiOdd, Phi);
// evaluate -log(rw)
msCG_V(VdagV, PhiOdd, tmp[0]);
msCG_M(MdagM, tmp[0], tmp[1]);
rw_rhmc[hit] = norm2(tmp[1]) - norm2(PhiOdd);
std::cout << std::endl << "==================================================" << std::endl;
std::cout << " --- RHMC: Hit " << hit << ": rw = " << rw_rhmc[hit];
std::cout << std::endl << "==================================================" << std::endl << std::endl;
}
// Initialize EOFA fermion operators
RealD shift_L = 0.0;
RealD shift_R = -1.0;
int pm = 1;
GparityMobiusEOFAFermionR Deofa_L(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mf, mf, mb, shift_L, pm, M5, b, c, params);
GparityMobiusEOFAFermionR Deofa_R(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mb, mf, mb, shift_R, pm, M5, b, c, params);
MdagMLinearOperator<GparityMobiusEOFAFermionR, FermionField> LdagL(Deofa_L);
MdagMLinearOperator<GparityMobiusEOFAFermionR, FermionField> RdagR(Deofa_R);
// Stochastically estimate reweighting factor via EOFA
RealD k = Deofa_L.k;
std::vector<RealD> rw_eofa(Nhits);
ConjugateGradient<FermionField> CG(stop_tol, max_iter);
SchurRedBlackDiagMooeeSolve<FermionField> SchurSolver(CG);
// Compute -log(Z), where: ( RHMC det ratio ) = Z * ( EOFA det ratio )
RealD Z = std::pow(b+c+1.0,Ls) + mf*std::pow(b+c-1.0,Ls);
Z /= std::pow(b+c+1.0,Ls) + mb*std::pow(b+c-1.0,Ls);
Z = -12.0*grid_dim[0]*grid_dim[1]*grid_dim[2]*grid_dim[3]*std::log(Z);
for(int hit=0; hit<Nhits; hit++){
// Gaussian source
FermionField Phi (Deofa_L.FermionGrid());
FermionField spProj_Phi(Deofa_L.FermionGrid());
std::vector<FermionField> tmp(2, Deofa_L.FermionGrid());
gaussian(RNG5, Phi);
Phi = Phi*scale;
// evaluate -log(rw)
// LH term
for(int s=0; s<Ls; ++s){ axpby_ssp_pminus(spProj_Phi, 0.0, Phi, 1.0, Phi, s, s); }
Deofa_L.Omega(spProj_Phi, tmp[0], -1, 0);
G5R5(tmp[1], tmp[0]);
tmp[0] = zero;
SchurSolver(Deofa_L, tmp[1], tmp[0]);
Deofa_L.Dtilde(tmp[0], tmp[1]);
Deofa_L.Omega(tmp[1], tmp[0], -1, 1);
rw_eofa[hit] = 2.0*Z - k*innerProduct(spProj_Phi,tmp[0]).real();
// RH term
for(int s=0; s<Ls; ++s){ axpby_ssp_pplus(spProj_Phi, 0.0, Phi, 1.0, Phi, s, s); }
Deofa_R.Omega(spProj_Phi, tmp[0], 1, 0);
G5R5(tmp[1], tmp[0]);
tmp[0] = zero;
SchurSolver(Deofa_R, tmp[1], tmp[0]);
Deofa_R.Dtilde(tmp[0], tmp[1]);
Deofa_R.Omega(tmp[1], tmp[0], 1, 1);
rw_eofa[hit] += k*innerProduct(spProj_Phi,tmp[0]).real();
std::cout << std::endl << "==================================================" << std::endl;
std::cout << " --- EOFA: Hit " << hit << ": rw = " << rw_eofa[hit];
std::cout << std::endl << "==================================================" << std::endl << std::endl;
}
std::vector<RealD> rhmc_result = jack_stats(rw_rhmc);
std::vector<RealD> eofa_result = jack_stats(rw_eofa);
std::cout << std::endl << "RHMC: rw = " << rhmc_result[0] << " +/- " << rhmc_result[1] << std::endl;
std::cout << std::endl << "EOFA: rw = " << eofa_result[0] << " +/- " << eofa_result[1] << std::endl;
Grid_finalize();
}

6
tests/forces/Test_dwf_gpforce_eofa.cc
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@ -71,9 +71,9 @@ int main (int argc, char** argv)
int threads = GridThread::GetThreads();
std::cout << GridLogMessage << "Grid is setup to use " << threads << " threads" << std::endl;
LatticeFermion phi (FGrid); gaussian(RNG5, phi);
LatticeFermion Mphi (FGrid);
LatticeFermion MphiPrime (FGrid);
FermionField phi (FGrid); gaussian(RNG5, phi);
FermionField Mphi (FGrid);
FermionField MphiPrime (FGrid);
LatticeGaugeField U(UGrid);
SU3::HotConfiguration(RNG4,U);

166
tests/forces/Test_mobius_force_eofa.cc Normal file
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@ -0,0 +1,166 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./tests/forces/Test_dwf_force_eofa.cc
Copyright (C) 2017
Author: Peter Boyle <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.h>
using namespace std;
using namespace Grid;
using namespace Grid::QCD;
int main (int argc, char** argv)
{
Grid_init(&argc, &argv);
std::vector<int> latt_size = GridDefaultLatt();
std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
std::vector<int> mpi_layout = GridDefaultMpi();
const int Ls = 8;
GridCartesian *UGrid = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplex::Nsimd()), GridDefaultMpi());
GridRedBlackCartesian *UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
GridCartesian *FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls, UGrid);
GridRedBlackCartesian *FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls, UGrid);
// Want a different conf at every run
// First create an instance of an engine.
std::random_device rnd_device;
// Specify the engine and distribution.
std::mt19937 mersenne_engine(rnd_device());
std::uniform_int_distribution<int> dist(1, 100);
auto gen = std::bind(dist, mersenne_engine);
std::vector<int> seeds4(4);
generate(begin(seeds4), end(seeds4), gen);
//std::vector<int> seeds4({1,2,3,5});
std::vector<int> seeds5({5,6,7,8});
GridParallelRNG RNG5(FGrid); RNG5.SeedFixedIntegers(seeds5);
GridParallelRNG RNG4(UGrid); RNG4.SeedFixedIntegers(seeds4);
int threads = GridThread::GetThreads();
std::cout << GridLogMessage << "Grid is setup to use " << threads << " threads" << std::endl;
LatticeFermion phi (FGrid); gaussian(RNG5, phi);
LatticeFermion Mphi (FGrid);
LatticeFermion MphiPrime (FGrid);
LatticeGaugeField U(UGrid);
SU3::HotConfiguration(RNG4,U);
////////////////////////////////////
// Unmodified matrix element
////////////////////////////////////
RealD b = 2.5;
RealD c = 1.5;
RealD mf = 0.01;
RealD mb = 1.0;
RealD M5 = 1.8;
MobiusEOFAFermionR Lop(U, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mf, mf, mb, 0.0, -1, M5, b, c);
MobiusEOFAFermionR Rop(U, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mb, mf, mb, -1.0, 1, M5, b, c);
OneFlavourRationalParams Params(0.95, 100.0, 5000, 1.0e-12, 12);
ConjugateGradient<LatticeFermion> CG(1.0e-12, 5000);
ExactOneFlavourRatioPseudoFermionAction<WilsonImplR> Meofa(Lop, Rop, CG, Params, false);
Meofa.refresh(U, RNG5);
RealD S = Meofa.S(U); // pdag M p
// get the deriv of phidag M phi with respect to "U"
LatticeGaugeField UdSdU(UGrid);
Meofa.deriv(U, UdSdU);
////////////////////////////////////
// Modify the gauge field a little
////////////////////////////////////
RealD dt = 0.0001;
LatticeColourMatrix mommu(UGrid);
LatticeColourMatrix forcemu(UGrid);
LatticeGaugeField mom(UGrid);
LatticeGaugeField Uprime(UGrid);
for(int mu=0; mu<Nd; mu++){
SU3::GaussianFundamentalLieAlgebraMatrix(RNG4, mommu); // Traceless antihermitian momentum; gaussian in lie alg
PokeIndex<LorentzIndex>(mom, mommu, mu);
// fourth order exponential approx
parallel_for(auto i=mom.begin(); i<mom.end(); i++){
Uprime[i](mu) = U[i](mu) + mom[i](mu)*U[i](mu)*dt + mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt/2.0)
+ mom[i](mu) *mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt*dt/6.0)
+ mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt*dt*dt/24.0)
+ mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt*dt*dt*dt/120.0)
+ mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt*dt*dt*dt*dt/720.0);
}
}
/*Ddwf.ImportGauge(Uprime);
Ddwf.M (phi,MphiPrime);
ComplexD Sprime = innerProduct(MphiPrime ,MphiPrime);*/
RealD Sprime = Meofa.S(Uprime);
//////////////////////////////////////////////
// Use derivative to estimate dS
//////////////////////////////////////////////
LatticeComplex dS(UGrid);
dS = zero;
for(int mu=0; mu<Nd; mu++){
mommu = PeekIndex<LorentzIndex>(UdSdU, mu);
mommu = Ta(mommu)*2.0;
PokeIndex<LorentzIndex>(UdSdU, mommu, mu);
}
for(int mu=0; mu<Nd; mu++){
forcemu = PeekIndex<LorentzIndex>(UdSdU, mu);
mommu = PeekIndex<LorentzIndex>(mom, mu);
// Update PF action density
dS = dS + trace(mommu*forcemu)*dt;
}
ComplexD dSpred = sum(dS);
/*std::cout << GridLogMessage << " S " << S << std::endl;
std::cout << GridLogMessage << " Sprime " << Sprime << std::endl;
std::cout << GridLogMessage << "dS " << Sprime-S << std::endl;
std::cout << GridLogMessage << "predict dS " << dSpred << std::endl;*/
printf("\nS = %1.15e\n", S);
printf("Sprime = %1.15e\n", Sprime);
printf("dS = %1.15e\n", Sprime - S);
printf("real(dS_predict) = %1.15e\n", dSpred.real());
printf("imag(dS_predict) = %1.15e\n\n", dSpred.imag());
assert( fabs(real(Sprime-S-dSpred)) < 1.0 ) ;
std::cout << GridLogMessage << "Done" << std::endl;
Grid_finalize();
}

171
tests/forces/Test_mobius_gpforce_eofa.cc Normal file
View File

@ -0,0 +1,171 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./tests/forces/Test_dwf_force_eofa.cc
Copyright (C) 2017
Author: Peter Boyle <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.h>
using namespace std;
using namespace Grid;
using namespace Grid::QCD;
typedef GparityWilsonImplR FermionImplPolicy;
typedef GparityMobiusEOFAFermionR FermionAction;
typedef typename FermionAction::FermionField FermionField;
int main (int argc, char** argv)
{
Grid_init(&argc, &argv);
std::vector<int> latt_size = GridDefaultLatt();
std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
std::vector<int> mpi_layout = GridDefaultMpi();
const int Ls = 8;
GridCartesian *UGrid = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplex::Nsimd()), GridDefaultMpi());
GridRedBlackCartesian *UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
GridCartesian *FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls, UGrid);
GridRedBlackCartesian *FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls, UGrid);
// Want a different conf at every run
// First create an instance of an engine.
std::random_device rnd_device;
// Specify the engine and distribution.
std::mt19937 mersenne_engine(rnd_device());
std::uniform_int_distribution<int> dist(1, 100);
auto gen = std::bind(dist, mersenne_engine);
std::vector<int> seeds4(4);
generate(begin(seeds4), end(seeds4), gen);
//std::vector<int> seeds4({1,2,3,5});
std::vector<int> seeds5({5,6,7,8});
GridParallelRNG RNG5(FGrid); RNG5.SeedFixedIntegers(seeds5);
GridParallelRNG RNG4(UGrid); RNG4.SeedFixedIntegers(seeds4);
int threads = GridThread::GetThreads();
std::cout << GridLogMessage << "Grid is setup to use " << threads << " threads" << std::endl;
FermionField phi (FGrid); gaussian(RNG5, phi);
FermionField Mphi (FGrid);
FermionField MphiPrime (FGrid);
LatticeGaugeField U(UGrid);
SU3::HotConfiguration(RNG4,U);
////////////////////////////////////
// Unmodified matrix element
////////////////////////////////////
RealD b = 2.5;
RealD c = 1.5;
RealD mf = 0.01;
RealD mb = 1.0;
RealD M5 = 1.8;
FermionAction::ImplParams params;
FermionAction Lop(U, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mf, mf, mb, 0.0, -1, M5, b, c, params);
FermionAction Rop(U, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mb, mf, mb, -1.0, 1, M5, b, c, params);
OneFlavourRationalParams Params(0.95, 100.0, 5000, 1.0e-12, 12);
ConjugateGradient<FermionField> CG(1.0e-12, 5000);
ExactOneFlavourRatioPseudoFermionAction<FermionImplPolicy> Meofa(Lop, Rop, CG, Params, false);
Meofa.refresh(U, RNG5);
RealD S = Meofa.S(U); // pdag M p
// get the deriv of phidag M phi with respect to "U"
LatticeGaugeField UdSdU(UGrid);
Meofa.deriv(U, UdSdU);
////////////////////////////////////
// Modify the gauge field a little
////////////////////////////////////
RealD dt = 0.0001;
LatticeColourMatrix mommu(UGrid);
LatticeColourMatrix forcemu(UGrid);
LatticeGaugeField mom(UGrid);
LatticeGaugeField Uprime(UGrid);
for(int mu=0; mu<Nd; mu++){
SU3::GaussianFundamentalLieAlgebraMatrix(RNG4, mommu); // Traceless antihermitian momentum; gaussian in lie alg
PokeIndex<LorentzIndex>(mom, mommu, mu);
// fourth order exponential approx
parallel_for(auto i=mom.begin(); i<mom.end(); i++){
Uprime[i](mu) = U[i](mu) + mom[i](mu)*U[i](mu)*dt + mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt/2.0)
+ mom[i](mu) *mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt*dt/6.0)
+ mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt*dt*dt/24.0)
+ mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt*dt*dt*dt/120.0)
+ mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt*dt*dt*dt*dt/720.0);
}
}
/*Ddwf.ImportGauge(Uprime);
Ddwf.M (phi,MphiPrime);
ComplexD Sprime = innerProduct(MphiPrime ,MphiPrime);*/
RealD Sprime = Meofa.S(Uprime);
//////////////////////////////////////////////
// Use derivative to estimate dS
//////////////////////////////////////////////
LatticeComplex dS(UGrid);
dS = zero;
for(int mu=0; mu<Nd; mu++){
mommu = PeekIndex<LorentzIndex>(UdSdU, mu);
mommu = Ta(mommu)*2.0;
PokeIndex<LorentzIndex>(UdSdU, mommu, mu);
}
for(int mu=0; mu<Nd; mu++){
forcemu = PeekIndex<LorentzIndex>(UdSdU, mu);
mommu = PeekIndex<LorentzIndex>(mom, mu);
// Update PF action density
dS = dS + trace(mommu*forcemu)*dt;
}
ComplexD dSpred = sum(dS);
/*std::cout << GridLogMessage << " S " << S << std::endl;
std::cout << GridLogMessage << " Sprime " << Sprime << std::endl;
std::cout << GridLogMessage << "dS " << Sprime-S << std::endl;
std::cout << GridLogMessage << "predict dS " << dSpred << std::endl;*/
printf("\nS = %1.15e\n", S);
printf("Sprime = %1.15e\n", Sprime);
printf("dS = %1.15e\n", Sprime - S);
printf("real(dS_predict) = %1.15e\n", dSpred.real());
printf("imag(dS_predict) = %1.15e\n\n", dSpred.imag());
assert( fabs(real(Sprime-S-dSpred)) < 1.0 ) ;
std::cout << GridLogMessage << "Done" << std::endl;
Grid_finalize();
}