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Implement EOFA pseudofermion force and Shamir tests for G-parity and non G-parity cases

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This commit is contained in:
David Murphy 2017-08-16 19:50:08 -04:00
parent ec1e2f7a40
commit 47a12ec7b5
3 changed files with 368 additions and 1 deletions
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36
lib/qcd/action/pseudofermion/ExactOneFlavourRatio.h
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@ -118,7 +118,7 @@ namespace QCD{
RealD scale = std::sqrt(0.5);
gaussian(pRNG,eta);
eta = eta * scale;
printf("Heatbath source vector: <\eta|\eta> = %1.15e\n", norm2(eta));
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);
@ -223,6 +223,40 @@ namespace QCD{
// 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;
};
};
}}

164
tests/forces/Test_dwf_force_eofa.cc Normal file
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@ -0,0 +1,164 @@
/*************************************************************************************
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();
}

169
tests/forces/Test_dwf_gpforce_eofa.cc Normal file
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@ -0,0 +1,169 @@
/*************************************************************************************
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;
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;
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();
}