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Merge pull request #129 from djm2131/feature/eofa

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Add support for DWF with the exact one flavor algorithm
This commit is contained in:
Peter Boyle 2017-09-21 10:15:21 +01:00 committed by GitHub
commit 946a8671b9
34 changed files with 7317 additions and 40 deletions
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1
lib/algorithms/Algorithms.h
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@ -37,6 +37,7 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
#include <Grid/algorithms/approx/Chebyshev.h>
#include <Grid/algorithms/approx/Remez.h>
#include <Grid/algorithms/approx/MultiShiftFunction.h>
#include <Grid/algorithms/approx/Forecast.h>
#include <Grid/algorithms/iterative/ConjugateGradient.h>
#include <Grid/algorithms/iterative/ConjugateResidual.h>

152
lib/algorithms/approx/Forecast.h Normal file
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@ -0,0 +1,152 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/algorithms/approx/Forecast.h
Copyright (C) 2015
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 */
#ifndef INCLUDED_FORECAST_H
#define INCLUDED_FORECAST_H
namespace Grid {
// Abstract base class.
// Takes a matrix (Mat), a source (phi), and a vector of Fields (chi)
// and returns a forecasted solution to the system D*psi = phi (psi).
template<class Matrix, class Field>
class Forecast
{
public:
virtual Field operator()(Matrix &Mat, const Field& phi, const std::vector<Field>& chi) = 0;
};
// Implementation of Brower et al.'s chronological inverter (arXiv:hep-lat/9509012),
// used to forecast solutions across poles of the EOFA heatbath.
//
// Modified from CPS (cps_pp/src/util/dirac_op/d_op_base/comsrc/minresext.C)
template<class Matrix, class Field>
class ChronoForecast : public Forecast<Matrix,Field>
{
public:
Field operator()(Matrix &Mat, const Field& phi, const std::vector<Field>& prev_solns)
{
int degree = prev_solns.size();
Field chi(phi); // forecasted solution
// Trivial cases
if(degree == 0){ chi = zero; return chi; }
else if(degree == 1){ return prev_solns[0]; }
RealD dot;
ComplexD xp;
Field r(phi); // residual
Field Mv(phi);
std::vector<Field> v(prev_solns); // orthonormalized previous solutions
std::vector<Field> MdagMv(degree,phi);
// Array to hold the matrix elements
std::vector<std::vector<ComplexD>> G(degree, std::vector<ComplexD>(degree));
// Solution and source vectors
std::vector<ComplexD> a(degree);
std::vector<ComplexD> b(degree);
// Orthonormalize the vector basis
for(int i=0; i<degree; i++){
v[i] *= 1.0/std::sqrt(norm2(v[i]));
for(int j=i+1; j<degree; j++){ v[j] -= innerProduct(v[i],v[j]) * v[i]; }
}
// Perform sparse matrix multiplication and construct rhs
for(int i=0; i<degree; i++){
b[i] = innerProduct(v[i],phi);
Mat.M(v[i],Mv);
Mat.Mdag(Mv,MdagMv[i]);
G[i][i] = innerProduct(v[i],MdagMv[i]);
}
// Construct the matrix
for(int j=0; j<degree; j++){
for(int k=j+1; k<degree; k++){
G[j][k] = innerProduct(v[j],MdagMv[k]);
G[k][j] = std::conj(G[j][k]);
}}
// Gauss-Jordan elimination with partial pivoting
for(int i=0; i<degree; i++){
// Perform partial pivoting
int k = i;
for(int j=i+1; j<degree; j++){ if(std::abs(G[j][j]) > std::abs(G[k][k])){ k = j; } }
if(k != i){
xp = b[k];
b[k] = b[i];
b[i] = xp;
for(int j=0; j<degree; j++){
xp = G[k][j];
G[k][j] = G[i][j];
G[i][j] = xp;
}
}
// Convert matrix to upper triangular form
for(int j=i+1; j<degree; j++){
xp = G[j][i]/G[i][i];
b[j] -= xp * b[i];
for(int k=0; k<degree; k++){ G[j][k] -= xp*G[i][k]; }
}
}
// Use Gaussian elimination to solve equations and calculate initial guess
chi = zero;
r = phi;
for(int i=degree-1; i>=0; i--){
a[i] = 0.0;
for(int j=i+1; j<degree; j++){ a[i] += G[i][j] * a[j]; }
a[i] = (b[i]-a[i])/G[i][i];
chi += a[i]*v[i];
r -= a[i]*MdagMv[i];
}
RealD true_r(0.0);
ComplexD tmp;
for(int i=0; i<degree; i++){
tmp = -b[i];
for(int j=0; j<degree; j++){ tmp += G[i][j]*a[j]; }
tmp = std::conj(tmp)*tmp;
true_r += std::sqrt(tmp.real());
}
RealD error = std::sqrt(norm2(r)/norm2(phi));
std::cout << GridLogMessage << "ChronoForecast: |res|/|src| = " << error << std::endl;
return chi;
};
};
}
#endif

100
lib/qcd/action/fermion/AbstractEOFAFermion.h Normal file
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@ -0,0 +1,100 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/qcd/action/fermion/AbstractEOFAFermion.h
Copyright (C) 2017
Author: Peter Boyle <pabobyle@ph.ed.ac.uk>
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 */
#ifndef GRID_QCD_ABSTRACT_EOFA_FERMION_H
#define GRID_QCD_ABSTRACT_EOFA_FERMION_H
#include <Grid/qcd/action/fermion/CayleyFermion5D.h>
namespace Grid {
namespace QCD {
// DJM: Abstract base class for EOFA fermion types.
// Defines layout of additional EOFA-specific parameters and operators.
// Use to construct EOFA pseudofermion actions that are agnostic to
// Shamir / Mobius / etc., and ensure that no one can construct EOFA
// pseudofermion action with non-EOFA fermion type.
template<class Impl>
class AbstractEOFAFermion : public CayleyFermion5D<Impl> {
public:
INHERIT_IMPL_TYPES(Impl);
public:
// Fermion operator: D(mq1) + shift*\gamma_{5}*R_{5}*\Delta_{\pm}(mq2,mq3)*P_{\pm}
RealD mq1;
RealD mq2;
RealD mq3;
RealD shift;
int pm;
RealD alpha; // Mobius scale
RealD k; // EOFA normalization constant
virtual void Instantiatable(void) = 0;
// EOFA-specific operations
// Force user to implement in derived classes
virtual void Omega (const FermionField& in, FermionField& out, int sign, int dag) = 0;
virtual void Dtilde (const FermionField& in, FermionField& out) = 0;
virtual void DtildeInv(const FermionField& in, FermionField& out) = 0;
// Implement derivatives in base class:
// for EOFA both DWF and Mobius just need d(Dw)/dU
virtual void MDeriv(GaugeField& mat, const FermionField& U, const FermionField& V, int dag){
this->DhopDeriv(mat, U, V, dag);
};
virtual void MoeDeriv(GaugeField& mat, const FermionField& U, const FermionField& V, int dag){
this->DhopDerivOE(mat, U, V, dag);
};
virtual void MeoDeriv(GaugeField& mat, const FermionField& U, const FermionField& V, int dag){
this->DhopDerivEO(mat, U, V, dag);
};
// Recompute 5D coefficients for different value of shift constant
// (needed for heatbath loop over poles)
virtual void RefreshShiftCoefficients(RealD new_shift) = 0;
// Constructors
AbstractEOFAFermion(GaugeField& _Umu, GridCartesian& FiveDimGrid, GridRedBlackCartesian& FiveDimRedBlackGrid,
GridCartesian& FourDimGrid, GridRedBlackCartesian& FourDimRedBlackGrid,
RealD _mq1, RealD _mq2, RealD _mq3, RealD _shift, int _pm,
RealD _M5, RealD _b, RealD _c, const ImplParams& p=ImplParams())
: CayleyFermion5D<Impl>(_Umu, FiveDimGrid, FiveDimRedBlackGrid, FourDimGrid, FourDimRedBlackGrid,
_mq1, _M5, p), mq1(_mq1), mq2(_mq2), mq3(_mq3), shift(_shift), pm(_pm)
{
int Ls = this->Ls;
this->alpha = _b + _c;
this->k = this->alpha * (_mq3-_mq2) * std::pow(this->alpha+1.0,2*Ls) /
( std::pow(this->alpha+1.0,Ls) + _mq2*std::pow(this->alpha-1.0,Ls) ) /
( std::pow(this->alpha+1.0,Ls) + _mq3*std::pow(this->alpha-1.0,Ls) );
};
};
}}
#endif

6
lib/qcd/action/fermion/CayleyFermion5D.h
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@ -179,9 +179,9 @@ namespace Grid {
double MooeeInvTime;
protected:
void SetCoefficientsZolotarev(RealD zolohi,Approx::zolotarev_data *zdata,RealD b,RealD c);
void SetCoefficientsTanh(Approx::zolotarev_data *zdata,RealD b,RealD c);
void SetCoefficientsInternal(RealD zolo_hi,std::vector<Coeff_t> & gamma,RealD b,RealD c);
virtual void SetCoefficientsZolotarev(RealD zolohi,Approx::zolotarev_data *zdata,RealD b,RealD c);
virtual void SetCoefficientsTanh(Approx::zolotarev_data *zdata,RealD b,RealD c);
virtual void SetCoefficientsInternal(RealD zolo_hi,std::vector<Coeff_t> & gamma,RealD b,RealD c);
};
}

438
lib/qcd/action/fermion/DomainWallEOFAFermion.cc Normal file
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@ -0,0 +1,438 @@
/*************************************************************************************
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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/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/qcd/action/fermion/DomainWallEOFAFermion.h
Copyright (C) 2017
Author: Peter Boyle <pabobyle@ph.ed.ac.uk>
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 */
#ifndef GRID_QCD_DOMAIN_WALL_EOFA_FERMION_H
#define GRID_QCD_DOMAIN_WALL_EOFA_FERMION_H
#include <Grid/qcd/action/fermion/AbstractEOFAFermion.h>
namespace Grid {
namespace QCD {
template<class Impl>
class DomainWallEOFAFermion : public AbstractEOFAFermion<Impl>
{
public:
INHERIT_IMPL_TYPES(Impl);
public:
// Modified (0,Ls-1) and (Ls-1,0) elements of Mooee
// for red-black preconditioned Shamir EOFA
Coeff_t dm;
Coeff_t dp;
virtual void Instantiatable(void) {};
// EOFA-specific operations
virtual void Omega (const FermionField& in, FermionField& out, int sign, int dag);
virtual void Dtilde (const FermionField& in, FermionField& out);
virtual void DtildeInv (const FermionField& in, FermionField& out);
// override multiply
virtual RealD M (const FermionField& in, FermionField& out);
virtual RealD Mdag (const FermionField& in, FermionField& out);
// half checkerboard operations
virtual void Mooee (const FermionField& in, FermionField& out);
virtual void MooeeDag (const FermionField& in, FermionField& out);
virtual void MooeeInv (const FermionField& in, FermionField& out);
virtual void MooeeInvDag(const FermionField& in, FermionField& out);
virtual void M5D (const FermionField& psi, FermionField& chi);
virtual void M5Ddag (const FermionField& psi, FermionField& chi);
/////////////////////////////////////////////////////
// Instantiate different versions depending on Impl
/////////////////////////////////////////////////////
void M5D(const FermionField& psi, const FermionField& phi, FermionField& chi,
std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper);
void M5Ddag(const FermionField& psi, const FermionField& phi, FermionField& chi,
std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper);
void MooeeInternal(const FermionField& in, FermionField& out, int dag, int inv);
void MooeeInternalCompute(int dag, int inv, Vector<iSinglet<Simd>>& Matp, Vector<iSinglet<Simd>>& Matm);
void MooeeInternalAsm(const FermionField& in, FermionField& out, int LLs, int site,
Vector<iSinglet<Simd>>& Matp, Vector<iSinglet<Simd>>& Matm);
void MooeeInternalZAsm(const FermionField& in, FermionField& out, int LLs, int site,
Vector<iSinglet<Simd>>& Matp, Vector<iSinglet<Simd>>& Matm);
virtual void RefreshShiftCoefficients(RealD new_shift);
// Constructors
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=ImplParams());
protected:
void SetCoefficientsInternal(RealD zolo_hi, std::vector<Coeff_t>& gamma, RealD b, RealD c);
};
}}
#define INSTANTIATE_DPERP_DWF_EOFA(A)\
template void DomainWallEOFAFermion<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 DomainWallEOFAFermion<A>::M5Ddag(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 DomainWallEOFAFermion<A>::MooeeInv(const FermionField& psi, FermionField& chi); \
template void DomainWallEOFAFermion<A>::MooeeInvDag(const FermionField& psi, FermionField& chi);
#undef DOMAIN_WALL_EOFA_DPERP_DENSE
#define DOMAIN_WALL_EOFA_DPERP_CACHE
#undef DOMAIN_WALL_EOFA_DPERP_LINALG
#define DOMAIN_WALL_EOFA_DPERP_VEC
#endif

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/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/qcd/action/fermion/DomainWallEOFAFermioncache.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/DomainWallEOFAFermion.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 DomainWallEOFAFermion<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)
{
int Ls = this->Ls;
GridBase* grid = psi._grid;
assert(phi.checkerboard == psi.checkerboard);
chi.checkerboard = psi.checkerboard;
// Flops = 6.0*(Nc*Ns) *Ls*vol
this->M5Dcalls++;
this->M5Dtime -= usecond();
parallel_for(int ss=0; ss<grid->oSites(); ss+=Ls){ // adds Ls
for(int s=0; s<Ls; s++){
auto tmp = psi._odata[0];
if(s==0) {
spProj5m(tmp, psi._odata[ss+s+1]);
chi[ss+s] = diag[s]*phi[ss+s] + upper[s]*tmp;
spProj5p(tmp, psi._odata[ss+Ls-1]);
chi[ss+s] = chi[ss+s] + lower[s]*tmp;
} else if(s==(Ls-1)) {
spProj5m(tmp, psi._odata[ss+0]);
chi[ss+s] = diag[s]*phi[ss+s] + upper[s]*tmp;
spProj5p(tmp, psi._odata[ss+s-1]);
chi[ss+s] = chi[ss+s] + lower[s]*tmp;
} else {
spProj5m(tmp, psi._odata[ss+s+1]);
chi[ss+s] = diag[s]*phi[ss+s] + upper[s]*tmp;
spProj5p(tmp, psi._odata[ss+s-1]);
chi[ss+s] = chi[ss+s] + lower[s]*tmp;
}
}
}
this->M5Dtime += usecond();
}
template<class Impl>
void DomainWallEOFAFermion<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)
{
int Ls = this->Ls;
GridBase* grid = psi._grid;
assert(phi.checkerboard == psi.checkerboard);
chi.checkerboard=psi.checkerboard;
// Flops = 6.0*(Nc*Ns) *Ls*vol
this->M5Dcalls++;
this->M5Dtime -= usecond();
parallel_for(int ss=0; ss<grid->oSites(); ss+=Ls){ // adds Ls
auto tmp = psi._odata[0];
for(int s=0; s<Ls; s++){
if(s==0) {
spProj5p(tmp, psi._odata[ss+s+1]);
chi[ss+s] = diag[s]*phi[ss+s] + upper[s]*tmp;
spProj5m(tmp, psi._odata[ss+Ls-1]);
chi[ss+s] = chi[ss+s] + lower[s]*tmp;
} else if(s==(Ls-1)) {
spProj5p(tmp, psi._odata[ss+0]);
chi[ss+s] = diag[s]*phi[ss+s] + upper[s]*tmp;
spProj5m(tmp, psi._odata[ss+s-1]);
chi[ss+s] = chi[ss+s] + lower[s]*tmp;
} else {
spProj5p(tmp, psi._odata[ss+s+1]);
chi[ss+s] = diag[s]*phi[ss+s] + upper[s]*tmp;
spProj5m(tmp, psi._odata[ss+s-1]);
chi[ss+s] = chi[ss+s] + lower[s]*tmp;
}
}
}
this->M5Dtime += usecond();
}
template<class Impl>
void DomainWallEOFAFermion<Impl>::MooeeInv(const FermionField& psi, FermionField& chi)
{
GridBase* grid = psi._grid;
int Ls = this->Ls;
chi.checkerboard = psi.checkerboard;
this->MooeeInvCalls++;
this->MooeeInvTime -= usecond();
parallel_for(int ss=0; ss<grid->oSites(); ss+=Ls){ // adds Ls
auto tmp1 = psi._odata[0];
auto tmp2 = psi._odata[0];
// flops = 12*2*Ls + 12*2*Ls + 3*12*Ls + 12*2*Ls = 12*Ls * (9) = 108*Ls flops
// Apply (L^{\prime})^{-1}
chi[ss] = psi[ss]; // chi[0]=psi[0]
for(int s=1; s<Ls; s++){
spProj5p(tmp1, chi[ss+s-1]);
chi[ss+s] = psi[ss+s] - this->lee[s-1]*tmp1;
}
// L_m^{-1}
for(int s=0; s<Ls-1; s++){ // Chi[ee] = 1 - sum[s<Ls-1] -leem[s]P_- chi
spProj5m(tmp1, chi[ss+s]);
chi[ss+Ls-1] = chi[ss+Ls-1] - this->leem[s]*tmp1;
}
// U_m^{-1} D^{-1}
for(int s=0; s<Ls-1; s++){ // Chi[s] + 1/d chi[s]
spProj5p(tmp1, chi[ss+Ls-1]);
chi[ss+s] = (1.0/this->dee[s])*chi[ss+s] - (this->ueem[s]/this->dee[Ls])*tmp1;
}
spProj5m(tmp2, chi[ss+Ls-1]);
chi[ss+Ls-1] = (1.0/this->dee[Ls])*tmp1 + (1.0/this->dee[Ls-1])*tmp2;
// Apply U^{-1}
for(int s=Ls-2; s>=0; s--){
spProj5m(tmp1, chi[ss+s+1]);
chi[ss+s] = chi[ss+s] - this->uee[s]*tmp1;
}
}
this->MooeeInvTime += usecond();
}
template<class Impl>
void DomainWallEOFAFermion<Impl>::MooeeInvDag(const FermionField& psi, FermionField& chi)
{
GridBase* grid = psi._grid;
int Ls = this->Ls;
assert(psi.checkerboard == psi.checkerboard);
chi.checkerboard = psi.checkerboard;
std::vector<Coeff_t> ueec(Ls);
std::vector<Coeff_t> deec(Ls+1);
std::vector<Coeff_t> leec(Ls);
std::vector<Coeff_t> ueemc(Ls);
std::vector<Coeff_t> leemc(Ls);
for(int s=0; s<ueec.size(); s++){
ueec[s] = conjugate(this->uee[s]);
deec[s] = conjugate(this->dee[s]);
leec[s] = conjugate(this->lee[s]);
ueemc[s] = conjugate(this->ueem[s]);
leemc[s] = conjugate(this->leem[s]);
}
deec[Ls] = conjugate(this->dee[Ls]);
this->MooeeInvCalls++;
this->MooeeInvTime -= usecond();
parallel_for(int ss=0; ss<grid->oSites(); ss+=Ls){ // adds Ls
auto tmp1 = psi._odata[0];
auto tmp2 = psi._odata[0];
// Apply (U^{\prime})^{-dagger}
chi[ss] = psi[ss];
for(int s=1; s<Ls; s++){
spProj5m(tmp1, chi[ss+s-1]);
chi[ss+s] = psi[ss+s] - ueec[s-1]*tmp1;
}
// U_m^{-\dagger}
for(int s=0; s<Ls-1; s++){
spProj5p(tmp1, chi[ss+s]);
chi[ss+Ls-1] = chi[ss+Ls-1] - ueemc[s]*tmp1;
}
// L_m^{-\dagger} D^{-dagger}
for(int s=0; s<Ls-1; s++){
spProj5m(tmp1, chi[ss+Ls-1]);
chi[ss+s] = (1.0/deec[s])*chi[ss+s] - (leemc[s]/deec[Ls-1])*tmp1;
}
spProj5p(tmp2, chi[ss+Ls-1]);
chi[ss+Ls-1] = (1.0/deec[Ls-1])*tmp1 + (1.0/deec[Ls])*tmp2;
// Apply L^{-dagger}
for(int s=Ls-2; s>=0; s--){
spProj5p(tmp1, chi[ss+s+1]);
chi[ss+s] = chi[ss+s] - leec[s]*tmp1;
}
}
this->MooeeInvTime += usecond();
}
#ifdef DOMAIN_WALL_EOFA_DPERP_CACHE
INSTANTIATE_DPERP_DWF_EOFA(WilsonImplF);
INSTANTIATE_DPERP_DWF_EOFA(WilsonImplD);
INSTANTIATE_DPERP_DWF_EOFA(GparityWilsonImplF);
INSTANTIATE_DPERP_DWF_EOFA(GparityWilsonImplD);
INSTANTIATE_DPERP_DWF_EOFA(ZWilsonImplF);
INSTANTIATE_DPERP_DWF_EOFA(ZWilsonImplD);
INSTANTIATE_DPERP_DWF_EOFA(WilsonImplFH);
INSTANTIATE_DPERP_DWF_EOFA(WilsonImplDF);
INSTANTIATE_DPERP_DWF_EOFA(GparityWilsonImplFH);
INSTANTIATE_DPERP_DWF_EOFA(GparityWilsonImplDF);
INSTANTIATE_DPERP_DWF_EOFA(ZWilsonImplFH);
INSTANTIATE_DPERP_DWF_EOFA(ZWilsonImplDF);
#endif
}}

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/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/qcd/action/fermion/DomainWallEOFAFermiondense.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 {
/*
* Dense matrix versions of routines
*/
template<class Impl>
void DomainWallEOFAFermion<Impl>::MooeeInvDag(const FermionField& psi, FermionField& chi)
{
this->MooeeInternal(psi, chi, DaggerYes, InverseYes);
}
template<class Impl>
void DomainWallEOFAFermion<Impl>::MooeeInv(const FermionField& psi, FermionField& chi)
{
this->MooeeInternal(psi, chi, DaggerNo, InverseYes);
}
template<class Impl>
void DomainWallEOFAFermion<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;
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) = this->dp;
Pminus(Ls-1,0) = this->dm;
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 DOMAIN_WALL_EOFA_DPERP_DENSE
INSTANTIATE_DPERP_DWF_EOFA(GparityWilsonImplF);
INSTANTIATE_DPERP_DWF_EOFA(GparityWilsonImplD);
INSTANTIATE_DPERP_DWF_EOFA(WilsonImplF);
INSTANTIATE_DPERP_DWF_EOFA(WilsonImplD);
INSTANTIATE_DPERP_DWF_EOFA(ZWilsonImplF);
INSTANTIATE_DPERP_DWF_EOFA(ZWilsonImplD);
template void DomainWallEOFAFermion<GparityWilsonImplF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
template void DomainWallEOFAFermion<GparityWilsonImplD>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
template void DomainWallEOFAFermion<WilsonImplF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
template void DomainWallEOFAFermion<WilsonImplD>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
template void DomainWallEOFAFermion<ZWilsonImplF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
template void DomainWallEOFAFermion<ZWilsonImplD>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
INSTANTIATE_DPERP_DWF_EOFA(GparityWilsonImplFH);
INSTANTIATE_DPERP_DWF_EOFA(GparityWilsonImplDF);
INSTANTIATE_DPERP_DWF_EOFA(WilsonImplFH);
INSTANTIATE_DPERP_DWF_EOFA(WilsonImplDF);
INSTANTIATE_DPERP_DWF_EOFA(ZWilsonImplFH);
INSTANTIATE_DPERP_DWF_EOFA(ZWilsonImplDF);
template void DomainWallEOFAFermion<GparityWilsonImplFH>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
template void DomainWallEOFAFermion<GparityWilsonImplDF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
template void DomainWallEOFAFermion<WilsonImplFH>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
template void DomainWallEOFAFermion<WilsonImplDF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
template void DomainWallEOFAFermion<ZWilsonImplFH>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
template void DomainWallEOFAFermion<ZWilsonImplDF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
#endif
}}

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/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/qcd/action/fermion/DomainWallEOFAFermionssp.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/DomainWallEOFAFermion.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 DomainWallEOFAFermion<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 DomainWallEOFAFermion<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 DomainWallEOFAFermion<Impl>::MooeeInv(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]
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], chi, s, Ls-1);
}
axpby_ssp_pminus(tmp, czero, chi, one/this->dee[Ls-1], chi, Ls-1, Ls-1);
axpby_ssp_pplus(chi, one, tmp, one/this->dee[Ls], 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 DomainWallEOFAFermion<Impl>::MooeeInvDag(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}
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_pminus(tmp, czero, chi, one/conjugate(this->dee[Ls-1]), chi, Ls-1, Ls-1);
axpby_ssp_pplus(chi, one, tmp, one/conjugate(this->dee[Ls]), 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]
}
}
#ifdef DOMAIN_WALL_EOFA_DPERP_LINALG
INSTANTIATE_DPERP_DWF_EOFA(WilsonImplF);
INSTANTIATE_DPERP_DWF_EOFA(WilsonImplD);
INSTANTIATE_DPERP_DWF_EOFA(GparityWilsonImplF);
INSTANTIATE_DPERP_DWF_EOFA(GparityWilsonImplD);
INSTANTIATE_DPERP_DWF_EOFA(ZWilsonImplF);
INSTANTIATE_DPERP_DWF_EOFA(ZWilsonImplD);
INSTANTIATE_DPERP_DWF_EOFA(WilsonImplFH);
INSTANTIATE_DPERP_DWF_EOFA(WilsonImplDF);
INSTANTIATE_DPERP_DWF_EOFA(GparityWilsonImplFH);
INSTANTIATE_DPERP_DWF_EOFA(GparityWilsonImplDF);
INSTANTIATE_DPERP_DWF_EOFA(ZWilsonImplFH);
INSTANTIATE_DPERP_DWF_EOFA(ZWilsonImplDF);
#endif
}}

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/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/qcd/action/fermion/DomainWallEOFAFermionvec.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/DomainWallEOFAFermion.h>
namespace Grid {
namespace QCD {
/*
* Dense matrix versions of routines
*/
template<class Impl>
void DomainWallEOFAFermion<Impl>::MooeeInvDag(const FermionField& psi, FermionField& chi)
{
this->MooeeInternal(psi, chi, DaggerYes, InverseYes);
}
template<class Impl>
void DomainWallEOFAFermion<Impl>::MooeeInv(const FermionField& psi, FermionField& chi)
{
this->MooeeInternal(psi, chi, DaggerNo, InverseYes);
}
template<class Impl>
void DomainWallEOFAFermion<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 DomainWallEOFAFermion<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();
}
#ifdef AVX512
#include<simd/Intel512common.h>
#include<simd/Intel512avx.h>
#include<simd/Intel512single.h>
#endif
template<class Impl>
void DomainWallEOFAFermion<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 DomainWallEOFAFermion<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 DomainWallEOFAFermion<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 DOMAIN_WALL_EOFA_DPERP_VEC
INSTANTIATE_DPERP_DWF_EOFA(DomainWallVec5dImplD);
INSTANTIATE_DPERP_DWF_EOFA(DomainWallVec5dImplF);
INSTANTIATE_DPERP_DWF_EOFA(ZDomainWallVec5dImplD);
INSTANTIATE_DPERP_DWF_EOFA(ZDomainWallVec5dImplF);
INSTANTIATE_DPERP_DWF_EOFA(DomainWallVec5dImplDF);
INSTANTIATE_DPERP_DWF_EOFA(DomainWallVec5dImplFH);
INSTANTIATE_DPERP_DWF_EOFA(ZDomainWallVec5dImplDF);
INSTANTIATE_DPERP_DWF_EOFA(ZDomainWallVec5dImplFH);
template void DomainWallEOFAFermion<DomainWallVec5dImplF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
template void DomainWallEOFAFermion<DomainWallVec5dImplD>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
template void DomainWallEOFAFermion<ZDomainWallVec5dImplF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
template void DomainWallEOFAFermion<ZDomainWallVec5dImplD>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
template void DomainWallEOFAFermion<DomainWallVec5dImplFH>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
template void DomainWallEOFAFermion<DomainWallVec5dImplDF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
template void DomainWallEOFAFermion<ZDomainWallVec5dImplFH>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
template void DomainWallEOFAFermion<ZDomainWallVec5dImplDF>::MooeeInternal(const FermionField& psi, FermionField& chi, int dag, int inv);
#endif
}}

53
lib/qcd/action/fermion/Fermion.h
View File

@ -38,6 +38,8 @@ Author: Peter Boyle <pabobyle@ph.ed.ac.uk>
// - ContinuedFractionFermion5D.cc
// - WilsonFermion.cc
// - WilsonKernels.cc
// - DomainWallEOFAFermion.cc
// - MobiusEOFAFermion.cc
//
// The explicit instantiation is only avoidable if we move this source to headers and end up with include/parse/recompile
// for EVERY .cc file. This define centralises the list and restores global push of impl cases
@ -55,8 +57,9 @@ Author: Peter Boyle <pabobyle@ph.ed.ac.uk>
#include <Grid/qcd/action/fermion/ImprovedStaggeredFermion5D.h>
#include <Grid/qcd/action/fermion/CayleyFermion5D.h> // Cayley types
#include <Grid/qcd/action/fermion/DomainWallFermion.h>
#include <Grid/qcd/action/fermion/DomainWallFermion.h>
#include <Grid/qcd/action/fermion/DomainWallEOFAFermion.h>
#include <Grid/qcd/action/fermion/MobiusFermion.h>
#include <Grid/qcd/action/fermion/MobiusEOFAFermion.h>
#include <Grid/qcd/action/fermion/ZMobiusFermion.h>
#include <Grid/qcd/action/fermion/SchurDiagTwoKappa.h>
#include <Grid/qcd/action/fermion/ScaledShamirFermion.h>
@ -113,6 +116,14 @@ typedef DomainWallFermion<WilsonImplRL> DomainWallFermionRL;
typedef DomainWallFermion<WilsonImplFH> DomainWallFermionFH;
typedef DomainWallFermion<WilsonImplDF> DomainWallFermionDF;
typedef DomainWallEOFAFermion<WilsonImplR> DomainWallEOFAFermionR;
typedef DomainWallEOFAFermion<WilsonImplF> DomainWallEOFAFermionF;
typedef DomainWallEOFAFermion<WilsonImplD> DomainWallEOFAFermionD;
typedef DomainWallEOFAFermion<WilsonImplRL> DomainWallEOFAFermionRL;
typedef DomainWallEOFAFermion<WilsonImplFH> DomainWallEOFAFermionFH;
typedef DomainWallEOFAFermion<WilsonImplDF> DomainWallEOFAFermionDF;
typedef MobiusFermion<WilsonImplR> MobiusFermionR;
typedef MobiusFermion<WilsonImplF> MobiusFermionF;
typedef MobiusFermion<WilsonImplD> MobiusFermionD;
@ -121,6 +132,14 @@ typedef MobiusFermion<WilsonImplRL> MobiusFermionRL;
typedef MobiusFermion<WilsonImplFH> MobiusFermionFH;
typedef MobiusFermion<WilsonImplDF> MobiusFermionDF;
typedef MobiusEOFAFermion<WilsonImplR> MobiusEOFAFermionR;
typedef MobiusEOFAFermion<WilsonImplF> MobiusEOFAFermionF;
typedef MobiusEOFAFermion<WilsonImplD> MobiusEOFAFermionD;
typedef MobiusEOFAFermion<WilsonImplRL> MobiusEOFAFermionRL;
typedef MobiusEOFAFermion<WilsonImplFH> MobiusEOFAFermionFH;
typedef MobiusEOFAFermion<WilsonImplDF> MobiusEOFAFermionDF;
typedef ZMobiusFermion<ZWilsonImplR> ZMobiusFermionR;
typedef ZMobiusFermion<ZWilsonImplF> ZMobiusFermionF;
typedef ZMobiusFermion<ZWilsonImplD> ZMobiusFermionD;
@ -138,6 +157,14 @@ typedef DomainWallFermion<DomainWallVec5dImplRL> DomainWallFermionVec5dRL;
typedef DomainWallFermion<DomainWallVec5dImplFH> DomainWallFermionVec5dFH;
typedef DomainWallFermion<DomainWallVec5dImplDF> DomainWallFermionVec5dDF;
typedef DomainWallEOFAFermion<DomainWallVec5dImplR> DomainWallEOFAFermionVec5dR;
typedef DomainWallEOFAFermion<DomainWallVec5dImplF> DomainWallEOFAFermionVec5dF;
typedef DomainWallEOFAFermion<DomainWallVec5dImplD> DomainWallEOFAFermionVec5dD;
typedef DomainWallEOFAFermion<DomainWallVec5dImplRL> DomainWallEOFAFermionVec5dRL;
typedef DomainWallEOFAFermion<DomainWallVec5dImplFH> DomainWallEOFAFermionVec5dFH;
typedef DomainWallEOFAFermion<DomainWallVec5dImplDF> DomainWallEOFAFermionVec5dDF;
typedef MobiusFermion<DomainWallVec5dImplR> MobiusFermionVec5dR;
typedef MobiusFermion<DomainWallVec5dImplF> MobiusFermionVec5dF;
typedef MobiusFermion<DomainWallVec5dImplD> MobiusFermionVec5dD;
@ -146,6 +173,14 @@ typedef MobiusFermion<DomainWallVec5dImplRL> MobiusFermionVec5dRL;
typedef MobiusFermion<DomainWallVec5dImplFH> MobiusFermionVec5dFH;
typedef MobiusFermion<DomainWallVec5dImplDF> MobiusFermionVec5dDF;
typedef MobiusEOFAFermion<DomainWallVec5dImplR> MobiusEOFAFermionVec5dR;
typedef MobiusEOFAFermion<DomainWallVec5dImplF> MobiusEOFAFermionVec5dF;
typedef MobiusEOFAFermion<DomainWallVec5dImplD> MobiusEOFAFermionVec5dD;
typedef MobiusEOFAFermion<DomainWallVec5dImplRL> MobiusEOFAFermionVec5dRL;
typedef MobiusEOFAFermion<DomainWallVec5dImplFH> MobiusEOFAFermionVec5dFH;
typedef MobiusEOFAFermion<DomainWallVec5dImplDF> MobiusEOFAFermionVec5dDF;
typedef ZMobiusFermion<ZDomainWallVec5dImplR> ZMobiusFermionVec5dR;
typedef ZMobiusFermion<ZDomainWallVec5dImplF> ZMobiusFermionVec5dF;
typedef ZMobiusFermion<ZDomainWallVec5dImplD> ZMobiusFermionVec5dD;
@ -206,6 +241,14 @@ typedef DomainWallFermion<GparityWilsonImplRL> GparityDomainWallFermionRL;
typedef DomainWallFermion<GparityWilsonImplFH> GparityDomainWallFermionFH;
typedef DomainWallFermion<GparityWilsonImplDF> GparityDomainWallFermionDF;
typedef DomainWallEOFAFermion<GparityWilsonImplR> GparityDomainWallEOFAFermionR;
typedef DomainWallEOFAFermion<GparityWilsonImplF> GparityDomainWallEOFAFermionF;
typedef DomainWallEOFAFermion<GparityWilsonImplD> GparityDomainWallEOFAFermionD;
typedef DomainWallEOFAFermion<GparityWilsonImplRL> GparityDomainWallEOFAFermionRL;
typedef DomainWallEOFAFermion<GparityWilsonImplFH> GparityDomainWallEOFAFermionFH;
typedef DomainWallEOFAFermion<GparityWilsonImplDF> GparityDomainWallEOFAFermionDF;
typedef WilsonTMFermion<GparityWilsonImplR> GparityWilsonTMFermionR;
typedef WilsonTMFermion<GparityWilsonImplF> GparityWilsonTMFermionF;
typedef WilsonTMFermion<GparityWilsonImplD> GparityWilsonTMFermionD;
@ -222,6 +265,14 @@ typedef MobiusFermion<GparityWilsonImplRL> GparityMobiusFermionRL;
typedef MobiusFermion<GparityWilsonImplFH> GparityMobiusFermionFH;
typedef MobiusFermion<GparityWilsonImplDF> GparityMobiusFermionDF;
typedef MobiusEOFAFermion<GparityWilsonImplR> GparityMobiusEOFAFermionR;
typedef MobiusEOFAFermion<GparityWilsonImplF> GparityMobiusEOFAFermionF;
typedef MobiusEOFAFermion<GparityWilsonImplD> GparityMobiusEOFAFermionD;
typedef MobiusEOFAFermion<GparityWilsonImplRL> GparityMobiusEOFAFermionRL;
typedef MobiusEOFAFermion<GparityWilsonImplFH> GparityMobiusEOFAFermionFH;
typedef MobiusEOFAFermion<GparityWilsonImplDF> GparityMobiusEOFAFermionDF;
typedef ImprovedStaggeredFermion<StaggeredImplR> ImprovedStaggeredFermionR;
typedef ImprovedStaggeredFermion<StaggeredImplF> ImprovedStaggeredFermionF;
typedef ImprovedStaggeredFermion<StaggeredImplD> ImprovedStaggeredFermionD;

502
lib/qcd/action/fermion/MobiusEOFAFermion.cc Normal file
View File

@ -0,0 +1,502 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/qcd/action/fermion/MobiusEOFAFermion.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 {
template<class Impl>
MobiusEOFAFermion<Impl>::MobiusEOFAFermion(
GaugeField &_Umu,
GridCartesian &FiveDimGrid,
GridRedBlackCartesian &FiveDimRedBlackGrid,
GridCartesian &FourDimGrid,
GridRedBlackCartesian &FourDimRedBlackGrid,
RealD _mq1, RealD _mq2, RealD _mq3,
RealD _shift, int _pm, RealD _M5,
RealD _b, RealD _c, const ImplParams &p) :
AbstractEOFAFermion<Impl>(_Umu, FiveDimGrid, FiveDimRedBlackGrid,
FourDimGrid, FourDimRedBlackGrid, _mq1, _mq2, _mq3,
_shift, _pm, _M5, _b, _c, p)
{
int Ls = this->Ls;
RealD eps = 1.0;
Approx::zolotarev_data *zdata = Approx::higham(eps, this->Ls);
assert(zdata->n == this->Ls);
std::cout << GridLogMessage << "MobiusEOFAFermion (b=" << _b <<
",c=" << _c << ") with Ls=" << Ls << std::endl;
this->SetCoefficientsTanh(zdata, _b, _c);
std::cout << GridLogMessage << "EOFA parameters: (mq1=" << _mq1 <<
",mq2=" << _mq2 << ",mq3=" << _mq3 << ",shift=" << _shift <<
",pm=" << _pm << ")" << std::endl;
Approx::zolotarev_free(zdata);
if(_shift != 0.0){
SetCoefficientsPrecondShiftOps();
} else {
Mooee_shift.resize(Ls, 0.0);
MooeeInv_shift_lc.resize(Ls, 0.0);
MooeeInv_shift_norm.resize(Ls, 0.0);
MooeeInvDag_shift_lc.resize(Ls, 0.0);
MooeeInvDag_shift_norm.resize(Ls, 0.0);
}
}
/***************************************************************
/* Additional EOFA operators only called outside the inverter.
/* Since speed is not essential, simple axpby-style
/* implementations should be fine.
/***************************************************************/
template<class Impl>
void MobiusEOFAFermion<Impl>::Omega(const FermionField& psi, FermionField& Din, int sign, int dag)
{
int Ls = this->Ls;
RealD alpha = this->alpha;
Din = zero;
if((sign == 1) && (dag == 0)) { // \Omega_{+}
for(int s=0; s<Ls; ++s){
axpby_ssp(Din, 0.0, psi, 2.0*std::pow(1.0-alpha,Ls-s-1)/std::pow(1.0+alpha,Ls-s), psi, s, 0);
}
} else if((sign == -1) && (dag == 0)) { // \Omega_{-}
for(int s=0; s<Ls; ++s){
axpby_ssp(Din, 0.0, psi, 2.0*std::pow(1.0-alpha,s)/std::pow(1.0+alpha,s+1), psi, s, 0);
}
} else if((sign == 1 ) && (dag == 1)) { // \Omega_{+}^{\dagger}
for(int sp=0; sp<Ls; ++sp){
axpby_ssp(Din, 1.0, Din, 2.0*std::pow(1.0-alpha,Ls-sp-1)/std::pow(1.0+alpha,Ls-sp), psi, 0, sp);
}
} else if((sign == -1) && (dag == 1)) { // \Omega_{-}^{\dagger}
for(int sp=0; sp<Ls; ++sp){
axpby_ssp(Din, 1.0, Din, 2.0*std::pow(1.0-alpha,sp)/std::pow(1.0+alpha,sp+1), psi, 0, sp);
}
}
}
// This is the operator relating the usual Ddwf to TWQCD's EOFA Dirac operator (arXiv:1706.05843, Eqn. 6).
// It also relates the preconditioned and unpreconditioned systems described in Appendix B.2.
template<class Impl>
void MobiusEOFAFermion<Impl>::Dtilde(const FermionField& psi, FermionField& chi)
{
int Ls = this->Ls;
RealD b = 0.5 * ( 1.0 + this->alpha );
RealD c = 0.5 * ( 1.0 - this->alpha );
RealD mq1 = this->mq1;
for(int s=0; s<Ls; ++s){
if(s == 0) {
axpby_ssp_pminus(chi, b, psi, -c, psi, s, s+1);
axpby_ssp_pplus (chi, 1.0, chi, mq1*c, psi, s, Ls-1);
} else if(s == (Ls-1)) {
axpby_ssp_pminus(chi, b, psi, mq1*c, psi, s, 0);
axpby_ssp_pplus (chi, 1.0, chi, -c, psi, s, s-1);
} else {
axpby_ssp_pminus(chi, b, psi, -c, psi, s, s+1);
axpby_ssp_pplus (chi, 1.0, chi, -c, psi, s, s-1);
}
}
}
template<class Impl>
void MobiusEOFAFermion<Impl>::DtildeInv(const FermionField& psi, FermionField& chi)
{
int Ls = this->Ls;
RealD m = this->mq1;
RealD c = 0.5 * this->alpha;
RealD d = 0.5;
RealD DtInv_p(0.0), DtInv_m(0.0);
RealD N = std::pow(c+d,Ls) + m*std::pow(c-d,Ls);
FermionField tmp(this->FermionGrid());
for(int s=0; s<Ls; ++s){
for(int sp=0; sp<Ls; ++sp){
DtInv_p = m * std::pow(-1.0,s-sp+1) * std::pow(c-d,Ls+s-sp) / std::pow(c+d,s-sp+1) / N;
DtInv_p += (s < sp) ? 0.0 : std::pow(-1.0,s-sp) * std::pow(c-d,s-sp) / std::pow(c+d,s-sp+1);
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(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);
}
}}
}
/*****************************************************************************************************/
template<class Impl>
RealD MobiusEOFAFermion<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 MobiusEOFAFermion<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 MobiusEOFAFermion<Impl>::M5D(const FermionField& psi, FermionField& chi)
{
int Ls = this->Ls;
std::vector<Coeff_t> diag(Ls,1.0);
std::vector<Coeff_t> upper(Ls,-1.0); upper[Ls-1] = this->mq1;
std::vector<Coeff_t> lower(Ls,-1.0); lower[0] = this->mq1;
// no shift term
if(this->shift == 0.0){ this->M5D(psi, chi, chi, lower, diag, upper); }
// fused M + shift operation
else{ this->M5D_shift(psi, chi, chi, lower, diag, upper, Mooee_shift); }
}
template<class Impl>
void MobiusEOFAFermion<Impl>::M5Ddag(const FermionField& psi, FermionField& chi)
{
int Ls = this->Ls;
std::vector<Coeff_t> diag(Ls,1.0);
std::vector<Coeff_t> upper(Ls,-1.0); 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); }
// fused M + shift operation
else{ this->M5Ddag_shift(psi, chi, chi, lower, diag, upper, Mooee_shift); }
}
// half checkerboard operations
template<class Impl>
void MobiusEOFAFermion<Impl>::Mooee(const FermionField& psi, FermionField& chi)
{
int Ls = this->Ls;
// coefficients of Mooee
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->mq1;
lower[0] *= -this->mq1;
// no shift term
if(this->shift == 0.0){ this->M5D(psi, psi, chi, lower, diag, upper); }
// fused M + shift operation
else { this->M5D_shift(psi, psi, chi, lower, diag, upper, Mooee_shift); }
}
template<class Impl>
void MobiusEOFAFermion<Impl>::MooeeDag(const FermionField& psi, FermionField& chi)
{
int Ls = this->Ls;
// coefficients of MooeeDag
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++){
if(s==0) {
upper[s] = -this->cee[s+1];
lower[s] = this->mq1*this->cee[Ls-1];
} else if(s==(Ls-1)) {
upper[s] = this->mq1*this->cee[0];
lower[s] = -this->cee[s-1];
} else {
upper[s] = -this->cee[s+1];
lower[s] = -this->cee[s-1];
}
}
// no shift term
if(this->shift == 0.0){ this->M5Ddag(psi, psi, chi, lower, diag, upper); }
// fused M + shift operation
else{ this->M5Ddag_shift(psi, psi, chi, lower, diag, upper, Mooee_shift); }
}
/****************************************************************************************/
// Computes coefficients for applying Cayley preconditioned shift operators
// (Mooee + \Delta) --> Mooee_shift
// (Mooee + \Delta)^{-1} --> MooeeInv_shift_lc, MooeeInv_shift_norm
// (Mooee + \Delta)^{-dag} --> MooeeInvDag_shift_lc, MooeeInvDag_shift_norm
// For the latter two cases, the operation takes the form
// [ (Mooee + \Delta)^{-1} \psi ]_{i} = Mooee_{ij} \psi_{j} +
// ( MooeeInv_shift_norm )_{i} ( \sum_{j} [ MooeeInv_shift_lc ]_{j} P_{pm} \psi_{j} )
template<class Impl>
void MobiusEOFAFermion<Impl>::SetCoefficientsPrecondShiftOps()
{
int Ls = this->Ls;
int pm = this->pm;
RealD alpha = this->alpha;
RealD k = this->k;
RealD mq1 = this->mq1;
RealD shift = this->shift;
// Initialize
Mooee_shift.resize(Ls);
MooeeInv_shift_lc.resize(Ls);
MooeeInv_shift_norm.resize(Ls);
MooeeInvDag_shift_lc.resize(Ls);
MooeeInvDag_shift_norm.resize(Ls);
// Construct Mooee_shift
int idx(0);
Coeff_t N = ( (pm == 1) ? 1.0 : -1.0 ) * (2.0*shift*k) *
( std::pow(alpha+1.0,Ls) + mq1*std::pow(alpha-1.0,Ls) );
for(int s=0; s<Ls; ++s){
idx = (pm == 1) ? (s) : (Ls-1-s);
Mooee_shift[idx] = N * std::pow(-1.0,s) * std::pow(alpha-1.0,s) / std::pow(alpha+1.0,Ls+s+1);
}
// Tridiagonal solve for MooeeInvDag_shift_lc
{
Coeff_t m(0.0);
std::vector<Coeff_t> d = Mooee_shift;
std::vector<Coeff_t> u(Ls,0.0);
std::vector<Coeff_t> y(Ls,0.0);
std::vector<Coeff_t> q(Ls,0.0);
if(pm == 1){ u[0] = 1.0; }
else{ u[Ls-1] = 1.0; }
// Tridiagonal matrix algorithm + Sherman-Morrison formula
//
// We solve
// ( Mooee' + u \otimes v ) MooeeInvDag_shift_lc = Mooee_shift
// where Mooee' is the tridiagonal part of Mooee_{+}, and
// u = (1,0,...,0) and v = (0,...,0,mq1*cee[0]) are chosen
// so that the outer-product u \otimes v gives the (0,Ls-1)
// entry of Mooee_{+}.
//
// We do this as two solves: Mooee'*y = d and Mooee'*q = u,
// and then construct the solution to the original system
// MooeeInvDag_shift_lc = y - <v,y> / ( 1 + <v,q> ) q
if(pm == 1){
for(int s=1; s<Ls; ++s){
m = -this->cee[s] / this->bee[s-1];
d[s] -= m*d[s-1];
u[s] -= m*u[s-1];
}
}
y[Ls-1] = d[Ls-1] / this->bee[Ls-1];
q[Ls-1] = u[Ls-1] / this->bee[Ls-1];
for(int s=Ls-2; s>=0; --s){
if(pm == 1){
y[s] = d[s] / this->bee[s];
q[s] = u[s] / this->bee[s];
} else {
y[s] = ( d[s] + this->cee[s]*y[s+1] ) / this->bee[s];
q[s] = ( u[s] + this->cee[s]*q[s+1] ) / this->bee[s];
}
}
// Construct MooeeInvDag_shift_lc
for(int s=0; s<Ls; ++s){
if(pm == 1){
MooeeInvDag_shift_lc[s] = y[s] - mq1*this->cee[0]*y[Ls-1] /
(1.0+mq1*this->cee[0]*q[Ls-1]) * q[s];
} else {
MooeeInvDag_shift_lc[s] = y[s] - mq1*this->cee[Ls-1]*y[0] /
(1.0+mq1*this->cee[Ls-1]*q[0]) * q[s];
}
}
// Compute remaining coefficients
N = (pm == 1) ? (1.0 + MooeeInvDag_shift_lc[Ls-1]) : (1.0 + MooeeInvDag_shift_lc[0]);
for(int s=0; s<Ls; ++s){
// MooeeInv_shift_lc
if(pm == 1){ MooeeInv_shift_lc[s] = std::pow(this->bee[s],s) * std::pow(this->cee[s],Ls-1-s); }
else{ MooeeInv_shift_lc[s] = std::pow(this->bee[s],Ls-1-s) * std::pow(this->cee[s],s); }
// MooeeInv_shift_norm
MooeeInv_shift_norm[s] = -MooeeInvDag_shift_lc[s] /
( std::pow(this->bee[s],Ls) + mq1*std::pow(this->cee[s],Ls) ) / N;
// MooeeInvDag_shift_norm
if(pm == 1){ MooeeInvDag_shift_norm[s] = -std::pow(this->bee[s],s) * std::pow(this->cee[s],Ls-1-s) /
( std::pow(this->bee[s],Ls) + mq1*std::pow(this->cee[s],Ls) ) / N; }
else{ MooeeInvDag_shift_norm[s] = -std::pow(this->bee[s],Ls-1-s) * std::pow(this->cee[s],s) /
( std::pow(this->bee[s],Ls) + mq1*std::pow(this->cee[s],Ls) ) / N; }
}
}
}
// Recompute coefficients for a different value of shift constant
template<class Impl>
void MobiusEOFAFermion<Impl>::RefreshShiftCoefficients(RealD new_shift)
{
this->shift = new_shift;
if(new_shift != 0.0){
SetCoefficientsPrecondShiftOps();
} else {
int Ls = this->Ls;
Mooee_shift.resize(Ls,0.0);
MooeeInv_shift_lc.resize(Ls,0.0);
MooeeInv_shift_norm.resize(Ls,0.0);
MooeeInvDag_shift_lc.resize(Ls,0.0);
MooeeInvDag_shift_norm.resize(Ls,0.0);
}
}
template<class Impl>
void MobiusEOFAFermion<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];
Pplus(s+1,s) = -this->cee[s+1];
}
Pplus (0,Ls-1) = this->mq1*this->cee[0];
Pminus(Ls-1,0) = this->mq1*this->cee[Ls-1];
if(this->shift != 0.0){
RealD c = 0.5 * this->alpha;
RealD d = 0.5;
RealD N = this->shift * this->k * ( std::pow(c+d,Ls) + this->mq1*std::pow(c-d,Ls) );
if(this->pm == 1) {
for(int s=0; s<Ls; ++s){
Pplus(s,Ls-1) += N * std::pow(-1.0,s) * std::pow(c-d,s) / std::pow(c+d,Ls+s+1);
}
} else {
for(int s=0; s<Ls; ++s){
Pminus(s,0) += N * std::pow(-1.0,s+1) * std::pow(c-d,Ls-1-s) / std::pow(c+d,2*Ls-s);
}
}
}
Eigen::MatrixXcd PplusMat ;
Eigen::MatrixXcd PminusMat;
if(inv) {
PplusMat = Pplus.inverse();
PminusMat = Pminus.inverse();
} else {
PplusMat = Pplus;
PminusMat = Pminus;
}
if(dag){
PplusMat.adjointInPlace();
PminusMat.adjointInPlace();
}
typedef typename SiteHalfSpinor::scalar_type scalar_type;
const int Nsimd = Simd::Nsimd();
Matp.resize(Ls*LLs);
Matm.resize(Ls*LLs);
for(int s2=0; s2<Ls; s2++){
for(int s1=0; s1<LLs; s1++){
int istride = LLs;
int ostride = 1;
Simd Vp;
Simd Vm;
scalar_type *sp = (scalar_type*) &Vp;
scalar_type *sm = (scalar_type*) &Vm;
for(int l=0; l<Nsimd; l++){
if(switcheroo<Coeff_t>::iscomplex()) {
sp[l] = PplusMat (l*istride+s1*ostride,s2);
sm[l] = PminusMat(l*istride+s1*ostride,s2);
} else {
// if real
scalar_type tmp;
tmp = PplusMat (l*istride+s1*ostride,s2);
sp[l] = scalar_type(tmp.real(),tmp.real());
tmp = PminusMat(l*istride+s1*ostride,s2);
sm[l] = scalar_type(tmp.real(),tmp.real());
}
}
Matp[LLs*s2+s1] = Vp;
Matm[LLs*s2+s1] = Vm;
}}
}
FermOpTemplateInstantiate(MobiusEOFAFermion);
GparityFermOpTemplateInstantiate(MobiusEOFAFermion);
}}

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/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/qcd/action/fermion/MobiusEOFAFermion.h
Copyright (C) 2017
Author: Peter Boyle <pabobyle@ph.ed.ac.uk>
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 */
#ifndef GRID_QCD_MOBIUS_EOFA_FERMION_H
#define GRID_QCD_MOBIUS_EOFA_FERMION_H
#include <Grid/qcd/action/fermion/AbstractEOFAFermion.h>
namespace Grid {
namespace QCD {
template<class Impl>
class MobiusEOFAFermion : public AbstractEOFAFermion<Impl>
{
public:
INHERIT_IMPL_TYPES(Impl);
public:
// Shift operator coefficients for red-black preconditioned Mobius EOFA
std::vector<Coeff_t> Mooee_shift;
std::vector<Coeff_t> MooeeInv_shift_lc;
std::vector<Coeff_t> MooeeInv_shift_norm;
std::vector<Coeff_t> MooeeInvDag_shift_lc;
std::vector<Coeff_t> MooeeInvDag_shift_norm;
virtual void Instantiatable(void) {};
// EOFA-specific operations
virtual void Omega (const FermionField& in, FermionField& out, int sign, int dag);
virtual void Dtilde (const FermionField& in, FermionField& out);
virtual void DtildeInv (const FermionField& in, FermionField& out);
// override multiply
virtual RealD M (const FermionField& in, FermionField& out);
virtual RealD Mdag (const FermionField& in, FermionField& out);
// half checkerboard operations
virtual void Mooee (const FermionField& in, FermionField& out);
virtual void MooeeDag (const FermionField& in, FermionField& out);
virtual void MooeeInv (const FermionField& in, FermionField& out);
virtual void MooeeInv_shift (const FermionField& in, FermionField& out);
virtual void MooeeInvDag (const FermionField& in, FermionField& out);
virtual void MooeeInvDag_shift(const FermionField& in, FermionField& out);
virtual void M5D (const FermionField& psi, FermionField& chi);
virtual void M5Ddag (const FermionField& psi, FermionField& chi);
/////////////////////////////////////////////////////
// Instantiate different versions depending on Impl
/////////////////////////////////////////////////////
void M5D(const FermionField& psi, const FermionField& phi, FermionField& chi,
std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper);
void 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);
void M5Ddag(const FermionField& psi, const FermionField& phi, FermionField& chi,
std::vector<Coeff_t>& lower, std::vector<Coeff_t>& diag, std::vector<Coeff_t>& upper);
void 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);
void MooeeInternal(const FermionField& in, FermionField& out, int dag, int inv);
void MooeeInternalCompute(int dag, int inv, Vector<iSinglet<Simd>>& Matp, Vector<iSinglet<Simd>>& Matm);
void MooeeInternalAsm(const FermionField& in, FermionField& out, int LLs, int site,
Vector<iSinglet<Simd>>& Matp, Vector<iSinglet<Simd>>& Matm);
void MooeeInternalZAsm(const FermionField& in, FermionField& out, int LLs, int site,
Vector<iSinglet<Simd>>& Matp, Vector<iSinglet<Simd>>& Matm);
virtual void RefreshShiftCoefficients(RealD new_shift);
// Constructors
MobiusEOFAFermion(GaugeField& _Umu, GridCartesian& FiveDimGrid, GridRedBlackCartesian& FiveDimRedBlackGrid,
GridCartesian& FourDimGrid, GridRedBlackCartesian& FourDimRedBlackGrid,
RealD _mq1, RealD _mq2, RealD _mq3, RealD _shift, int pm,
RealD _M5, RealD _b, RealD _c, const ImplParams& p=ImplParams());
protected:
void SetCoefficientsPrecondShiftOps(void);
};
}}
#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, \
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>::M5Ddag(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>::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); \
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_shift(const FermionField& psi, FermionField& chi);
#undef MOBIUS_EOFA_DPERP_DENSE
#define MOBIUS_EOFA_DPERP_CACHE
#undef MOBIUS_EOFA_DPERP_LINALG
#define MOBIUS_EOFA_DPERP_VEC
#endif

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/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/qcd/action/fermion/MobiusEOFAFermioncache.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.
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)
{
int Ls = this->Ls;
GridBase *grid = psi._grid;
assert(phi.checkerboard == psi.checkerboard);
chi.checkerboard = psi.checkerboard;
// Flops = 6.0*(Nc*Ns) *Ls*vol
this->M5Dcalls++;
this->M5Dtime -= usecond();
parallel_for(int ss=0; ss<grid->oSites(); ss+=Ls){
for(int s=0; s<Ls; s++){
auto tmp = psi._odata[0];
if(s==0){
spProj5m(tmp, psi._odata[ss+s+1]);
chi[ss+s] = diag[s]*phi[ss+s] + upper[s]*tmp;
spProj5p(tmp, psi._odata[ss+Ls-1]);
chi[ss+s] = chi[ss+s] + lower[s]*tmp;
} else if(s==(Ls-1)) {
spProj5m(tmp, psi._odata[ss+0]);
chi[ss+s] = diag[s]*phi[ss+s] + upper[s]*tmp;
spProj5p(tmp, psi._odata[ss+s-1]);
chi[ss+s] = chi[ss+s] + lower[s]*tmp;
} else {
spProj5m(tmp, psi._odata[ss+s+1]);
chi[ss+s] = diag[s]*phi[ss+s] + upper[s]*tmp;
spProj5p(tmp, psi._odata[ss+s-1]);
chi[ss+s] = chi[ss+s] + lower[s]*tmp;
}
}
}
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)
{
int Ls = this->Ls;
int shift_s = (this->pm == 1) ? (Ls-1) : 0; // s-component modified by shift operator
GridBase *grid = psi._grid;
assert(phi.checkerboard == psi.checkerboard);
chi.checkerboard = psi.checkerboard;
// Flops = 6.0*(Nc*Ns) *Ls*vol
this->M5Dcalls++;
this->M5Dtime -= usecond();
parallel_for(int ss=0; ss<grid->oSites(); ss+=Ls){
for(int s=0; s<Ls; s++){
auto tmp = psi._odata[0];
if(s==0){
spProj5m(tmp, psi._odata[ss+s+1]);
chi[ss+s] = diag[s]*phi[ss+s] + upper[s]*tmp;
spProj5p(tmp, psi._odata[ss+Ls-1]);
chi[ss+s] = chi[ss+s] + lower[s]*tmp;
} else if(s==(Ls-1)) {
spProj5m(tmp, psi._odata[ss+0]);
chi[ss+s] = diag[s]*phi[ss+s] + upper[s]*tmp;
spProj5p(tmp, psi._odata[ss+s-1]);
chi[ss+s] = chi[ss+s] + lower[s]*tmp;
} else {
spProj5m(tmp, psi._odata[ss+s+1]);
chi[ss+s] = diag[s]*phi[ss+s] + upper[s]*tmp;
spProj5p(tmp, psi._odata[ss+s-1]);
chi[ss+s] = chi[ss+s] + lower[s]*tmp;
}
if(this->pm == 1){ spProj5p(tmp, psi._odata[ss+shift_s]); }
else{ spProj5m(tmp, psi._odata[ss+shift_s]); }
chi[ss+s] = chi[ss+s] + shift_coeffs[s]*tmp;
}
}
this->M5Dtime += usecond();
}
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)
{
int Ls = this->Ls;
GridBase *grid = psi._grid;
assert(phi.checkerboard == psi.checkerboard);
chi.checkerboard = psi.checkerboard;
// Flops = 6.0*(Nc*Ns) *Ls*vol
this->M5Dcalls++;
this->M5Dtime -= usecond();
parallel_for(int ss=0; ss<grid->oSites(); ss+=Ls){
auto tmp = psi._odata[0];
for(int s=0; s<Ls; s++){
if(s==0) {
spProj5p(tmp, psi._odata[ss+s+1]);
chi[ss+s] = diag[s]*phi[ss+s] + upper[s]*tmp;
spProj5m(tmp, psi._odata[ss+Ls-1]);
chi[ss+s] = chi[ss+s] + lower[s]*tmp;
} else if(s==(Ls-1)) {
spProj5p(tmp, psi._odata[ss+0]);
chi[ss+s] = diag[s]*phi[ss+s] + upper[s]*tmp;
spProj5m(tmp, psi._odata[ss+s-1]);
chi[ss+s] = chi[ss+s] + lower[s]*tmp;
} else {
spProj5p(tmp, psi._odata[ss+s+1]);
chi[ss+s] = diag[s]*phi[ss+s] + upper[s]*tmp;
spProj5m(tmp, psi._odata[ss+s-1]);
chi[ss+s] = chi[ss+s] + lower[s]*tmp;
}
}
}
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)
{
int Ls = this->Ls;
int shift_s = (this->pm == 1) ? (Ls-1) : 0; // s-component modified by shift operator
GridBase *grid = psi._grid;
assert(phi.checkerboard == psi.checkerboard);
chi.checkerboard = psi.checkerboard;
// Flops = 6.0*(Nc*Ns) *Ls*vol
this->M5Dcalls++;
this->M5Dtime -= usecond();
parallel_for(int ss=0; ss<grid->oSites(); ss+=Ls){
chi[ss+Ls-1] = zero;
auto tmp = psi._odata[0];
for(int s=0; s<Ls; s++){
if(s==0) {
spProj5p(tmp, psi._odata[ss+s+1]);
chi[ss+s] = diag[s]*phi[ss+s] + upper[s]*tmp;
spProj5m(tmp, psi._odata[ss+Ls-1]);
chi[ss+s] = chi[ss+s] + lower[s]*tmp;
} else if(s==(Ls-1)) {
spProj5p(tmp, psi._odata[ss+0]);
chi[ss+s] = chi[ss+s] + diag[s]*phi[ss+s] + upper[s]*tmp;
spProj5m(tmp, psi._odata[ss+s-1]);
chi[ss+s] = chi[ss+s] + lower[s]*tmp;
} else {
spProj5p(tmp, psi._odata[ss+s+1]);
chi[ss+s] = diag[s]*phi[ss+s] + upper[s]*tmp;
spProj5m(tmp, psi._odata[ss+s-1]);
chi[ss+s] = chi[ss+s] + lower[s]*tmp;
}
if(this->pm == 1){ spProj5p(tmp, psi._odata[ss+s]); }
else{ spProj5m(tmp, psi._odata[ss+s]); }
chi[ss+shift_s] = chi[ss+shift_s] + shift_coeffs[s]*tmp;
}
}
this->M5Dtime += usecond();
}
template<class Impl>
void MobiusEOFAFermion<Impl>::MooeeInv(const FermionField &psi, FermionField &chi)
{
if(this->shift != 0.0){ MooeeInv_shift(psi,chi); return; }
GridBase *grid = psi._grid;
int Ls = this->Ls;
chi.checkerboard = psi.checkerboard;
this->MooeeInvCalls++;
this->MooeeInvTime -= usecond();
parallel_for(int ss=0; ss<grid->oSites(); ss+=Ls){
auto tmp = psi._odata[0];
// Apply (L^{\prime})^{-1}
chi[ss] = psi[ss]; // chi[0]=psi[0]
for(int s=1; s<Ls; s++){
spProj5p(tmp, chi[ss+s-1]);
chi[ss+s] = psi[ss+s] - this->lee[s-1]*tmp;
}
// L_m^{-1}
for(int s=0; s<Ls-1; s++){ // Chi[ee] = 1 - sum[s<Ls-1] -leem[s]P_- chi
spProj5m(tmp, chi[ss+s]);
chi[ss+Ls-1] = chi[ss+Ls-1] - this->leem[s]*tmp;
}
// U_m^{-1} D^{-1}
for(int s=0; s<Ls-1; s++){ // Chi[s] + 1/d chi[s]
spProj5p(tmp, chi[ss+Ls-1]);
chi[ss+s] = (1.0/this->dee[s])*chi[ss+s] - (this->ueem[s]/this->dee[Ls-1])*tmp;
}
chi[ss+Ls-1] = (1.0/this->dee[Ls-1])*chi[ss+Ls-1];
// Apply U^{-1}
for(int s=Ls-2; s>=0; s--){
spProj5m(tmp, chi[ss+s+1]);
chi[ss+s] = chi[ss+s] - this->uee[s]*tmp;
}
}
this->MooeeInvTime += usecond();
}
template<class Impl>
void MobiusEOFAFermion<Impl>::MooeeInv_shift(const FermionField &psi, FermionField &chi)
{
GridBase *grid = psi._grid;
int Ls = this->Ls;
chi.checkerboard = psi.checkerboard;
this->MooeeInvCalls++;
this->MooeeInvTime -= usecond();
parallel_for(int ss=0; ss<grid->oSites(); ss+=Ls){
auto tmp1 = psi._odata[0];
auto tmp2 = psi._odata[0];
auto tmp2_spProj = psi._odata[0];
// Apply (L^{\prime})^{-1} and accumulate MooeeInv_shift_lc[j]*psi[j] in tmp2
chi[ss] = psi[ss]; // chi[0]=psi[0]
tmp2 = MooeeInv_shift_lc[0]*psi[ss];
for(int s=1; s<Ls; s++){
spProj5p(tmp1, chi[ss+s-1]);
chi[ss+s] = psi[ss+s] - this->lee[s-1]*tmp1;
tmp2 = tmp2 + MooeeInv_shift_lc[s]*psi[ss+s];
}
if(this->pm == 1){ spProj5p(tmp2_spProj, tmp2);}
else{ spProj5m(tmp2_spProj, tmp2); }
// L_m^{-1}
for(int s=0; s<Ls-1; s++){ // Chi[ee] = 1 - sum[s<Ls-1] -leem[s]P_- chi
spProj5m(tmp1, chi[ss+s]);
chi[ss+Ls-1] = chi[ss+Ls-1] - this->leem[s]*tmp1;
}
// U_m^{-1} D^{-1}
for(int s=0; s<Ls-1; s++){ // Chi[s] + 1/d chi[s]
spProj5p(tmp1, chi[ss+Ls-1]);
chi[ss+s] = (1.0/this->dee[s])*chi[ss+s] - (this->ueem[s]/this->dee[Ls-1])*tmp1;
}
// chi[ss+Ls-1] = (1.0/this->dee[Ls-1])*chi[ss+Ls-1] + MooeeInv_shift_norm[Ls-1]*tmp2_spProj;
chi[ss+Ls-1] = (1.0/this->dee[Ls-1])*chi[ss+Ls-1];
spProj5m(tmp1, chi[ss+Ls-1]);
chi[ss+Ls-1] = chi[ss+Ls-1] + MooeeInv_shift_norm[Ls-1]*tmp2_spProj;
// Apply U^{-1} and add shift term
for(int s=Ls-2; s>=0; s--){
chi[ss+s] = chi[ss+s] - this->uee[s]*tmp1;
spProj5m(tmp1, chi[ss+s]);
chi[ss+s] = chi[ss+s] + MooeeInv_shift_norm[s]*tmp2_spProj;
}
}
this->MooeeInvTime += usecond();
}
template<class Impl>
void MobiusEOFAFermion<Impl>::MooeeInvDag(const FermionField &psi, FermionField &chi)
{
if(this->shift != 0.0){ MooeeInvDag_shift(psi,chi); return; }
GridBase *grid = psi._grid;
int Ls = this->Ls;
chi.checkerboard = psi.checkerboard;
this->MooeeInvCalls++;
this->MooeeInvTime -= usecond();
parallel_for(int ss=0; ss<grid->oSites(); ss+=Ls){
auto tmp = psi._odata[0];
// Apply (U^{\prime})^{-dag}
chi[ss] = psi[ss];
for(int s=1; s<Ls; s++){
spProj5m(tmp, chi[ss+s-1]);
chi[ss+s] = psi[ss+s] - this->uee[s-1]*tmp;
}
// U_m^{-\dag}
for(int s=0; s<Ls-1; s++){
spProj5p(tmp, chi[ss+s]);
chi[ss+Ls-1] = chi[ss+Ls-1] - this->ueem[s]*tmp;
}
// L_m^{-\dag} D^{-dag}
for(int s=0; s<Ls-1; s++){
spProj5m(tmp, chi[ss+Ls-1]);
chi[ss+s] = (1.0/this->dee[s])*chi[ss+s] - (this->leem[s]/this->dee[Ls-1])*tmp;
}
chi[ss+Ls-1] = (1.0/this->dee[Ls-1])*chi[ss+Ls-1];
// Apply L^{-dag}
for(int s=Ls-2; s>=0; s--){
spProj5p(tmp, chi[ss+s+1]);
chi[ss+s] = chi[ss+s] - this->lee[s]*tmp;
}
}
this->MooeeInvTime += usecond();
}
template<class Impl>
void MobiusEOFAFermion<Impl>::MooeeInvDag_shift(const FermionField &psi, FermionField &chi)
{
GridBase *grid = psi._grid;
int Ls = this->Ls;
chi.checkerboard = psi.checkerboard;
this->MooeeInvCalls++;
this->MooeeInvTime -= usecond();
parallel_for(int ss=0; ss<grid->oSites(); ss+=Ls){
auto tmp1 = psi._odata[0];
auto tmp2 = psi._odata[0];
auto tmp2_spProj = psi._odata[0];
// Apply (U^{\prime})^{-dag} and accumulate MooeeInvDag_shift_lc[j]*psi[j] in tmp2
chi[ss] = psi[ss];
tmp2 = MooeeInvDag_shift_lc[0]*psi[ss];
for(int s=1; s<Ls; s++){
spProj5m(tmp1, chi[ss+s-1]);
chi[ss+s] = psi[ss+s] - this->uee[s-1]*tmp1;
tmp2 = tmp2 + MooeeInvDag_shift_lc[s]*psi[ss+s];
}
if(this->pm == 1){ spProj5p(tmp2_spProj, tmp2);}
else{ spProj5m(tmp2_spProj, tmp2); }
// U_m^{-\dag}
for(int s=0; s<Ls-1; s++){
spProj5p(tmp1, chi[ss+s]);
chi[ss+Ls-1] = chi[ss+Ls-1] - this->ueem[s]*tmp1;
}
// L_m^{-\dag} D^{-dag}
for(int s=0; s<Ls-1; s++){
spProj5m(tmp1, chi[ss+Ls-1]);
chi[ss+s] = (1.0/this->dee[s])*chi[ss+s] - (this->leem[s]/this->dee[Ls-1])*tmp1;
}
chi[ss+Ls-1] = (1.0/this->dee[Ls-1])*chi[ss+Ls-1];
spProj5p(tmp1, chi[ss+Ls-1]);
chi[ss+Ls-1] = chi[ss+Ls-1] + MooeeInvDag_shift_norm[Ls-1]*tmp2_spProj;
// Apply L^{-dag}
for(int s=Ls-2; s>=0; s--){
chi[ss+s] = chi[ss+s] - this->lee[s]*tmp1;
spProj5p(tmp1, chi[ss+s]);
chi[ss+s] = chi[ss+s] + MooeeInvDag_shift_norm[s]*tmp2_spProj;
}
}
this->MooeeInvTime += usecond();
}
#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(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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/*************************************************************************************
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
}}

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/*************************************************************************************
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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/*************************************************************************************
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)
{
#if 0
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); }
}
#else
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);
Vector<iSinglet<Simd>> s(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];
scalar_type* s_p = (scalar_type*) &s[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];
s_p[ss] = shift_coeffs[s];
}}
this->M5Dcalls++;
this->M5Dtime -= usecond();
assert(Nc == 3);
parallel_for(int ss=0; ss<grid->oSites(); ss+=LLs){ // adds LLs
int vs = (this->pm == 1) ? LLs-1 : 0;
Simd hs_00 = (this->pm == 1) ? psi[ss+vs]()(2)(0) : psi[ss+vs]()(0)(0);
Simd hs_01 = (this->pm == 1) ? psi[ss+vs]()(2)(1) : psi[ss+vs]()(0)(1);
Simd hs_02 = (this->pm == 1) ? psi[ss+vs]()(2)(2) : psi[ss+vs]()(0)(2);
Simd hs_10 = (this->pm == 1) ? psi[ss+vs]()(3)(0) : psi[ss+vs]()(1)(0);
Simd hs_11 = (this->pm == 1) ? psi[ss+vs]()(3)(1) : psi[ss+vs]()(1)(1);
Simd hs_12 = (this->pm == 1) ? psi[ss+vs]()(3)(2) : psi[ss+vs]()(1)(2);
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(this->pm == 1 && vs <= v){
hs_00.v = Optimization::Rotate::tRotate<2>(hs_00.v);
hs_01.v = Optimization::Rotate::tRotate<2>(hs_01.v);
hs_02.v = Optimization::Rotate::tRotate<2>(hs_02.v);
hs_10.v = Optimization::Rotate::tRotate<2>(hs_10.v);
hs_11.v = Optimization::Rotate::tRotate<2>(hs_11.v);
hs_12.v = Optimization::Rotate::tRotate<2>(hs_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);
}
if(this->pm == -1 && vs >= v){
hs_00.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hs_00.v);
hs_01.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hs_01.v);
hs_02.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hs_02.v);
hs_10.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hs_10.v);
hs_11.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hs_11.v);
hs_12.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hs_12.v);
}
// Can force these to real arithmetic and save 2x.
Simd p_00 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(0)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_00)
: switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(0)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_00)
+ switcheroo<Coeff_t>::mult(s[v]()()(), hs_00);
Simd p_01 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(1)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_01)
: switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(1)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_01)
+ switcheroo<Coeff_t>::mult(s[v]()()(), hs_01);
Simd p_02 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(2)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_02)
: switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(2)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_02)
+ switcheroo<Coeff_t>::mult(s[v]()()(), hs_02);
Simd p_10 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(0)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_10)
: switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(0)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_10)
+ switcheroo<Coeff_t>::mult(s[v]()()(), hs_10);
Simd p_11 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(1)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_11)
: switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(1)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_11)
+ switcheroo<Coeff_t>::mult(s[v]()()(), hs_11);
Simd p_12 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(2)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_12)
: switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(2)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_12)
+ switcheroo<Coeff_t>::mult(s[v]()()(), hs_12);
Simd p_20 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(0)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_00)
+ switcheroo<Coeff_t>::mult(s[v]()()(), hs_00)
: switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(0)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_00);
Simd p_21 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(1)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_01)
+ switcheroo<Coeff_t>::mult(s[v]()()(), hs_01)
: switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(1)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_01);
Simd p_22 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(2)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_02)
+ switcheroo<Coeff_t>::mult(s[v]()()(), hs_02)
: switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(2)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_02);
Simd p_30 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(0)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_10)
+ switcheroo<Coeff_t>::mult(s[v]()()(), hs_10)
: switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(0)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_10);
Simd p_31 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(1)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_11)
+ switcheroo<Coeff_t>::mult(s[v]()()(), hs_11)
: switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(1)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_11);
Simd p_32 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(2)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_12)
+ switcheroo<Coeff_t>::mult(s[v]()()(), hs_12)
: 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);
}
}
this->M5Dtime += usecond();
#endif
}
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)
{
#if 0
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); }
}
#else
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);
Vector<iSinglet<Simd>> s(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];
scalar_type* s_p = (scalar_type*) &s[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];
s_p[ss] = shift_coeffs[s];
}}
this->M5Dcalls++;
this->M5Dtime -= usecond();
parallel_for(int ss=0; ss<grid->oSites(); ss+=LLs){ // adds LLs
int vs = (this->pm == 1) ? LLs-1 : 0;
Simd hs_00 = (this->pm == 1) ? psi[ss+vs]()(0)(0) : psi[ss+vs]()(2)(0);
Simd hs_01 = (this->pm == 1) ? psi[ss+vs]()(0)(1) : psi[ss+vs]()(2)(1);
Simd hs_02 = (this->pm == 1) ? psi[ss+vs]()(0)(2) : psi[ss+vs]()(2)(2);
Simd hs_10 = (this->pm == 1) ? psi[ss+vs]()(1)(0) : psi[ss+vs]()(3)(0);
Simd hs_11 = (this->pm == 1) ? psi[ss+vs]()(1)(1) : psi[ss+vs]()(3)(1);
Simd hs_12 = (this->pm == 1) ? psi[ss+vs]()(1)(2) : psi[ss+vs]()(3)(2);
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(this->pm == 1 && vs <= v){
hs_00.v = Optimization::Rotate::tRotate<2>(hs_00.v);
hs_01.v = Optimization::Rotate::tRotate<2>(hs_01.v);
hs_02.v = Optimization::Rotate::tRotate<2>(hs_02.v);
hs_10.v = Optimization::Rotate::tRotate<2>(hs_10.v);
hs_11.v = Optimization::Rotate::tRotate<2>(hs_11.v);
hs_12.v = Optimization::Rotate::tRotate<2>(hs_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);
}
if(this->pm == -1 && vs >= v){
hs_00.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hs_00.v);
hs_01.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hs_01.v);
hs_02.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hs_02.v);
hs_10.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hs_10.v);
hs_11.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hs_11.v);
hs_12.v = Optimization::Rotate::tRotate<2*Simd::Nsimd()-2>(hs_12.v);
}
Simd p_00 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(0)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_00)
+ switcheroo<Coeff_t>::mult(s[v]()()(), hs_00)
: switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(0)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_00);
Simd p_01 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(1)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_01)
+ switcheroo<Coeff_t>::mult(s[v]()()(), hs_01)
: switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(1)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_01);
Simd p_02 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(2)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_02)
+ switcheroo<Coeff_t>::mult(s[v]()()(), hs_02)
: switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(0)(2)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_02);
Simd p_10 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(0)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_10)
+ switcheroo<Coeff_t>::mult(s[v]()()(), hs_10)
: switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(0)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_10);
Simd p_11 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(1)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_11)
+ switcheroo<Coeff_t>::mult(s[v]()()(), hs_11)
: switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(1)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_11);
Simd p_12 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(2)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_12)
+ switcheroo<Coeff_t>::mult(s[v]()()(), hs_12)
: switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(1)(2)) + switcheroo<Coeff_t>::mult(u[v]()()(), hp_12);
Simd p_20 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(0)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_00)
: switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(0)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_00)
+ switcheroo<Coeff_t>::mult(s[v]()()(), hs_00);
Simd p_21 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(1)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_01)
: switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(1)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_01)
+ switcheroo<Coeff_t>::mult(s[v]()()(), hs_01);
Simd p_22 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(2)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_02)
: switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(2)(2)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_02)
+ switcheroo<Coeff_t>::mult(s[v]()()(), hs_02);
Simd p_30 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(0)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_10)
: switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(0)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_10)
+ switcheroo<Coeff_t>::mult(s[v]()()(), hs_10);
Simd p_31 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(1)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_11)
: switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(1)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_11)
+ switcheroo<Coeff_t>::mult(s[v]()()(), hs_11);
Simd p_32 = (this->pm == 1) ? switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(2)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_12)
: switcheroo<Coeff_t>::mult(d[v]()()(), phi[ss+v]()(3)(2)) + switcheroo<Coeff_t>::mult(l[v]()()(), hm_12)
+ switcheroo<Coeff_t>::mult(s[v]()()(), hs_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);
}
}
this->M5Dtime += usecond();
#endif
}
#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
}}

264
lib/qcd/action/pseudofermion/ExactOneFlavourRatio.h Normal file
View File

@ -0,0 +1,264 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/qcd/action/pseudofermion/ExactOneFlavourRatio.h
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 */
/////////////////////////////////////////////////////////////////
// Implementation of exact one flavour algorithm (EOFA) //
// using fermion classes defined in: //
// Grid/qcd/action/fermion/DomainWallEOFAFermion.h (Shamir) //
// Grid/qcd/action/fermion/MobiusEOFAFermion.h (Mobius) //
// arXiv: 1403.1683, 1706.05843 //
/////////////////////////////////////////////////////////////////
#ifndef QCD_PSEUDOFERMION_EXACT_ONE_FLAVOUR_RATIO_H
#define QCD_PSEUDOFERMION_EXACT_ONE_FLAVOUR_RATIO_H
namespace Grid{
namespace QCD{
///////////////////////////////////////////////////////////////
// Exact one flavour implementation of DWF determinant ratio //
///////////////////////////////////////////////////////////////
template<class Impl>
class ExactOneFlavourRatioPseudoFermionAction : public Action<typename Impl::GaugeField>
{
public:
INHERIT_IMPL_TYPES(Impl);
typedef OneFlavourRationalParams Params;
Params param;
MultiShiftFunction PowerNegHalf;
private:
bool use_heatbath_forecasting;
AbstractEOFAFermion<Impl>& Lop; // the basic LH operator
AbstractEOFAFermion<Impl>& Rop; // the basic RH operator
SchurRedBlackDiagMooeeSolve<FermionField> Solver;
FermionField Phi; // the pseudofermion field for this trajectory
public:
ExactOneFlavourRatioPseudoFermionAction(AbstractEOFAFermion<Impl>& _Lop, AbstractEOFAFermion<Impl>& _Rop,
OperatorFunction<FermionField>& S, Params& p, bool use_fc=false) : Lop(_Lop), Rop(_Rop), Solver(S),
Phi(_Lop.FermionGrid()), param(p), use_heatbath_forecasting(use_fc)
{
AlgRemez remez(param.lo, param.hi, param.precision);
// MdagM^(+- 1/2)
std::cout << GridLogMessage << "Generating degree " << param.degree << " for x^(-1/2)" << std::endl;
remez.generateApprox(param.degree, 1, 2);
PowerNegHalf.Init(remez, param.tolerance, true);
};
virtual std::string action_name() { return "ExactOneFlavourRatioPseudoFermionAction"; }
virtual std::string LogParameters() {
std::stringstream sstream;
sstream << GridLogMessage << "[" << action_name() << "] Low :" << param.lo << std::endl;
sstream << GridLogMessage << "[" << action_name() << "] High :" << param.hi << std::endl;
sstream << GridLogMessage << "[" << action_name() << "] Max iterations :" << param.MaxIter << std::endl;
sstream << GridLogMessage << "[" << action_name() << "] Tolerance :" << param.tolerance << std::endl;
sstream << GridLogMessage << "[" << action_name() << "] Degree :" << param.degree << std::endl;
sstream << GridLogMessage << "[" << action_name() << "] Precision :" << param.precision << std::endl;
return sstream.str();
}
// Spin projection
void spProj(const FermionField& in, FermionField& out, int sign, int Ls)
{
if(sign == 1){ for(int s=0; s<Ls; ++s){ axpby_ssp_pplus(out, 0.0, in, 1.0, in, s, s); } }
else{ for(int s=0; s<Ls; ++s){ axpby_ssp_pminus(out, 0.0, in, 1.0, in, s, s); } }
}
// EOFA heatbath: see Eqn. (29) of arXiv:1706.05843
// We generate a Gaussian noise vector \eta, and then compute
// \Phi = M_{\rm EOFA}^{-1/2} * \eta
// using a rational approximation to the inverse square root
virtual void refresh(const GaugeField& U, GridParallelRNG& pRNG)
{
Lop.ImportGauge(U);
Rop.ImportGauge(U);
FermionField eta (Lop.FermionGrid());
FermionField CG_src (Lop.FermionGrid());
FermionField CG_soln (Lop.FermionGrid());
FermionField Forecast_src(Lop.FermionGrid());
std::vector<FermionField> tmp(2, Lop.FermionGrid());
// Use chronological inverter to forecast solutions across poles
std::vector<FermionField> prev_solns;
if(use_heatbath_forecasting){ prev_solns.reserve(param.degree); }
ChronoForecast<AbstractEOFAFermion<Impl>, FermionField> Forecast;
// Seed with Gaussian noise vector (var = 0.5)
RealD scale = std::sqrt(0.5);
gaussian(pRNG,eta);
eta = eta * scale;
printf("Heatbath source vector: <\\eta|\\eta> = %1.15e\n", norm2(eta));
// \Phi = ( \alpha_{0} + \sum_{k=1}^{N_{p}} \alpha_{l} * \gamma_{l} ) * \eta
RealD N(PowerNegHalf.norm);
for(int k=0; k<param.degree; ++k){ N += PowerNegHalf.residues[k] / ( 1.0 + PowerNegHalf.poles[k] ); }
Phi = eta * N;
// LH terms:
// \Phi = \Phi + k \sum_{k=1}^{N_{p}} P_{-} \Omega_{-}^{\dagger} ( H(mf)
// - \gamma_{l} \Delta_{-}(mf,mb) P_{-} )^{-1} \Omega_{-} P_{-} \eta
RealD gamma_l(0.0);
spProj(eta, tmp[0], -1, Lop.Ls);
Lop.Omega(tmp[0], tmp[1], -1, 0);
G5R5(CG_src, tmp[1]);
tmp[1] = zero;
for(int k=0; k<param.degree; ++k){
gamma_l = 1.0 / ( 1.0 + PowerNegHalf.poles[k] );
Lop.RefreshShiftCoefficients(-gamma_l);
if(use_heatbath_forecasting){ // Forecast CG guess using solutions from previous poles
Lop.Mdag(CG_src, Forecast_src);
CG_soln = Forecast(Lop, Forecast_src, prev_solns);
Solver(Lop, CG_src, CG_soln);
prev_solns.push_back(CG_soln);
} else {
CG_soln = zero; // Just use zero as the initial guess
Solver(Lop, CG_src, CG_soln);
}
Lop.Dtilde(CG_soln, tmp[0]); // We actually solved Cayley preconditioned system: transform back
tmp[1] = tmp[1] + ( PowerNegHalf.residues[k]*gamma_l*gamma_l*Lop.k ) * tmp[0];
}
Lop.Omega(tmp[1], tmp[0], -1, 1);
spProj(tmp[0], tmp[1], -1, Lop.Ls);
Phi = Phi + tmp[1];
// RH terms:
// \Phi = \Phi - k \sum_{k=1}^{N_{p}} P_{+} \Omega_{+}^{\dagger} ( H(mb)
// + \gamma_{l} \Delta_{+}(mf,mb) P_{+} )^{-1} \Omega_{+} P_{+} \eta
spProj(eta, tmp[0], 1, Rop.Ls);
Rop.Omega(tmp[0], tmp[1], 1, 0);
G5R5(CG_src, tmp[1]);
tmp[1] = zero;
if(use_heatbath_forecasting){ prev_solns.clear(); } // empirically, LH solns don't help for RH solves
for(int k=0; k<param.degree; ++k){
gamma_l = 1.0 / ( 1.0 + PowerNegHalf.poles[k] );
Rop.RefreshShiftCoefficients(-gamma_l*PowerNegHalf.poles[k]);
if(use_heatbath_forecasting){
Rop.Mdag(CG_src, Forecast_src);
CG_soln = Forecast(Rop, Forecast_src, prev_solns);
Solver(Rop, CG_src, CG_soln);
prev_solns.push_back(CG_soln);
} else {
CG_soln = zero;
Solver(Rop, CG_src, CG_soln);
}
Rop.Dtilde(CG_soln, tmp[0]); // We actually solved Cayley preconditioned system: transform back
tmp[1] = tmp[1] - ( PowerNegHalf.residues[k]*gamma_l*gamma_l*Rop.k ) * tmp[0];
}
Rop.Omega(tmp[1], tmp[0], 1, 1);
spProj(tmp[0], tmp[1], 1, Rop.Ls);
Phi = Phi + tmp[1];
// Reset shift coefficients for energy and force evals
Lop.RefreshShiftCoefficients(0.0);
Rop.RefreshShiftCoefficients(-1.0);
};
// EOFA action: see Eqn. (10) of arXiv:1706.05843
virtual RealD S(const GaugeField& U)
{
Lop.ImportGauge(U);
Rop.ImportGauge(U);
FermionField spProj_Phi(Lop.FermionGrid());
std::vector<FermionField> tmp(2, Lop.FermionGrid());
// S = <\Phi|\Phi>
RealD action(norm2(Phi));
// LH term: S = S - k <\Phi| P_{-} \Omega_{-}^{\dagger} H(mf)^{-1} \Omega_{-} P_{-} |\Phi>
spProj(Phi, spProj_Phi, -1, Lop.Ls);
Lop.Omega(spProj_Phi, tmp[0], -1, 0);
G5R5(tmp[1], tmp[0]);
tmp[0] = zero;
Solver(Lop, tmp[1], tmp[0]);
Lop.Dtilde(tmp[0], tmp[1]); // We actually solved Cayley preconditioned system: transform back
Lop.Omega(tmp[1], tmp[0], -1, 1);
action -= Lop.k * innerProduct(spProj_Phi, tmp[0]).real();
// RH term: S = S + k <\Phi| P_{+} \Omega_{+}^{\dagger} ( H(mb)
// - \Delta_{+}(mf,mb) P_{+} )^{-1} \Omega_{-} P_{-} |\Phi>
spProj(Phi, spProj_Phi, 1, Rop.Ls);
Rop.Omega(spProj_Phi, tmp[0], 1, 0);
G5R5(tmp[1], tmp[0]);
tmp[0] = zero;
Solver(Rop, tmp[1], tmp[0]);
Rop.Dtilde(tmp[0], tmp[1]);
Rop.Omega(tmp[1], tmp[0], 1, 1);
action += Rop.k * innerProduct(spProj_Phi, tmp[0]).real();
return action;
};
// EOFA pseudofermion force: see Eqns. (34)-(36) of arXiv:1706.05843
virtual void deriv(const GaugeField& U, GaugeField& dSdU)
{
Lop.ImportGauge(U);
Rop.ImportGauge(U);
FermionField spProj_Phi (Lop.FermionGrid());
FermionField Omega_spProj_Phi(Lop.FermionGrid());
FermionField CG_src (Lop.FermionGrid());
FermionField Chi (Lop.FermionGrid());
FermionField g5_R5_Chi (Lop.FermionGrid());
GaugeField force(Lop.GaugeGrid());
// LH: dSdU = k \chi_{L}^{\dagger} \gamma_{5} R_{5} ( \partial_{x,\mu} D_{w} ) \chi_{L}
// \chi_{L} = H(mf)^{-1} \Omega_{-} P_{-} \Phi
spProj(Phi, spProj_Phi, -1, Lop.Ls);
Lop.Omega(spProj_Phi, Omega_spProj_Phi, -1, 0);
G5R5(CG_src, Omega_spProj_Phi);
spProj_Phi = zero;
Solver(Lop, CG_src, spProj_Phi);
Lop.Dtilde(spProj_Phi, Chi);
G5R5(g5_R5_Chi, Chi);
Lop.MDeriv(force, g5_R5_Chi, Chi, DaggerNo);
dSdU = Lop.k * force;
// RH: dSdU = dSdU - k \chi_{R}^{\dagger} \gamma_{5} R_{5} ( \partial_{x,\mu} D_{w} ) \chi_{}
// \chi_{R} = ( H(mb) - \Delta_{+}(mf,mb) P_{+} )^{-1} \Omega_{+} P_{+} \Phi
spProj(Phi, spProj_Phi, 1, Rop.Ls);
Rop.Omega(spProj_Phi, Omega_spProj_Phi, 1, 0);
G5R5(CG_src, Omega_spProj_Phi);
spProj_Phi = zero;
Solver(Rop, CG_src, spProj_Phi);
Rop.Dtilde(spProj_Phi, Chi);
G5R5(g5_R5_Chi, Chi);
Lop.MDeriv(force, g5_R5_Chi, Chi, DaggerNo);
dSdU = dSdU - Rop.k * force;
};
};
}}
#endif

1
lib/qcd/action/pseudofermion/PseudoFermion.h
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@ -38,5 +38,6 @@ directory
#include <Grid/qcd/action/pseudofermion/OneFlavourRationalRatio.h>
#include <Grid/qcd/action/pseudofermion/OneFlavourEvenOddRational.h>
#include <Grid/qcd/action/pseudofermion/OneFlavourEvenOddRationalRatio.h>
#include <Grid/qcd/action/pseudofermion/ExactOneFlavourRatio.h>
#endif

33
lib/qcd/modules/FermionOperatorModules.h
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@ -202,6 +202,39 @@ class DomainWallFermionModule: public FermionOperatorModule<DomainWallFermion, F
};
class DomainWallEOFAFermionParameters : Serializable {
public:
GRID_SERIALIZABLE_CLASS_MEMBERS(DomainWallEOFAFermionParameters,
RealD, mq1,
RealD, mq2,
RealD, mq3,
RealD, shift,
int, pm,
RealD, M5,
unsigned int, Ls);
};
template <class FermionImpl >
class DomainWallEOFAFermionModule: public FermionOperatorModule<DomainWallEOFAFermion, FermionImpl, DomainWallEOFAFermionParameters> {
typedef FermionOperatorModule<DomainWallEOFAFermion, FermionImpl, DomainWallEOFAFermionParameters> FermBase;
using FermBase::FermBase; // for constructors
virtual unsigned int Ls(){
return this->Par_.Ls;
}
// acquire resource
virtual void initialize(){
auto GridMod = this->GridRefs[0];
auto GridMod5d = this->GridRefs[1];
typename FermionImpl::GaugeField U(GridMod->get_full());
this->FOPtr.reset(new DomainWallEOFAFermion<FermionImpl>( U, *(GridMod->get_full()), *(GridMod->get_rb()),
*(GridMod5d->get_full()), *(GridMod5d->get_rb()),
this->Par_.mq1, this->Par_.mq2, this->Par_.mq3,
this->Par_.shift, this->Par_.pm, this->Par_.M5));
}
};
} // QCD
} // Grid

239
tests/core/Test_dwf_eofa_even_odd.cc Normal file
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@ -0,0 +1,239 @@
/*************************************************************************************
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 mq1 = 0.1;
RealD mq2 = 0.5;
RealD mq3 = 1.0;
RealD shift = 0.1234;
RealD M5 = 1.8;
int pm = 1;
DomainWallEOFAFermionR Ddwf(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mq1, mq2, mq3, shift, pm, M5);
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<DomainWallEOFAFermionR,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();
}

241
tests/core/Test_mobius_eofa_even_odd.cc Normal file
View File

@ -0,0 +1,241 @@
/*************************************************************************************
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();
}

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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 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);
DomainWallEOFAFermionR Lop(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mf, mf, mpv, 0.0, -1, M5);
DomainWallEOFAFermionR Rop(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mpv, mf, mpv, -1.0, 1, M5);
// 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 GparityDomainWallEOFAFermionR 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 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);
// GparityDomainWallFermionR::ImplParams params;
FermionAction::ImplParams params;
FermionAction Lop(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mf, mf, mpv, 0.0, -1, M5, params);
FermionAction Rop(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mpv, mf, mpv, -1.0, 1, M5, 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;
}

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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;
}

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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;
// parameters for test
const std::vector<int> grid_dim = { 8, 8, 8, 8 };
const int Ls = 8;
const int Nhits = 25;
const int max_iter = 5000;
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
DomainWallFermionR Ddwf_f(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mf, M5);
DomainWallFermionR Ddwf_b(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mb, M5);
SchurDiagMooeeOperator<DomainWallFermionR, LatticeFermion> MdagM(Ddwf_f);
SchurDiagMooeeOperator<DomainWallFermionR, 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;
DomainWallEOFAFermionR Deofa_L(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mf, mf, mb, shift_L, pm, M5);
DomainWallEOFAFermionR Deofa_R(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mb, mf, mb, shift_R, pm, M5);
MdagMLinearOperator<DomainWallEOFAFermionR, LatticeFermion> LdagL(Deofa_L);
MdagMLinearOperator<DomainWallEOFAFermionR, 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);
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.Omega(tmp[0], tmp[1], -1, 1);
rw_eofa[hit] = -k*innerProduct(spProj_Phi,tmp[1]).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.Omega(tmp[0], tmp[1], 1, 1);
rw_eofa[hit] += k*innerProduct(spProj_Phi,tmp[1]).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_gparity.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 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;
GparityDomainWallFermionR Ddwf_f(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mf, M5, params);
GparityDomainWallFermionR Ddwf_b(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mb, M5, params);
SchurDiagMooeeOperator<GparityDomainWallFermionR, FermionField> MdagM(Ddwf_f);
SchurDiagMooeeOperator<GparityDomainWallFermionR, 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;
GparityDomainWallEOFAFermionR Deofa_L(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mf, mf, mb, shift_L, pm, M5, params);
GparityDomainWallEOFAFermionR Deofa_R(Umu, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mb, mf, mb, shift_R, pm, M5, params);
MdagMLinearOperator<GparityDomainWallEOFAFermionR, FermionField> LdagL(Deofa_L);
MdagMLinearOperator<GparityDomainWallEOFAFermionR, 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);
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.Omega(tmp[0], tmp[1], -1, 1);
rw_eofa[hit] = -k*innerProduct(spProj_Phi,tmp[1]).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.Omega(tmp[0], tmp[1], 1, 1);
rw_eofa[hit] += k*innerProduct(spProj_Phi,tmp[1]).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;
// 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();
}

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/*************************************************************************************
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 mf = 0.01;
RealD mb = 1.0;
RealD M5 = 1.8;
DomainWallEOFAFermionR Lop(U, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mf, mf, mb, 0.0, -1, M5);
DomainWallEOFAFermionR Rop(U, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mb, mf, mb, -1.0, 1, M5);
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, true);
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();
}

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/*************************************************************************************
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 GparityDomainWallEOFAFermionR 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 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, params);
FermionAction Rop(U, *FGrid, *FrbGrid, *UGrid, *UrbGrid, mb, mf, mb, -1.0, 1, M5, 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, true);
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();
}

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/*************************************************************************************
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();
}

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/*************************************************************************************
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();
}