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Completed implementation of Meofa method of ExactOneFlavourRatio pseudofermion action

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Added tests to tests/forces/Test_mobius_force_eofa.cc testing that the EOFA heatbath results in Phi = M^{-1/2} eta
This commit is contained in:
Christopher Kelly 2021-05-18 12:27:51 -04:00
parent 24df770f74
commit 9f0271039f
2 changed files with 66 additions and 8 deletions
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17
Grid/qcd/action/pseudofermion/ExactOneFlavourRatio.h
View File

@ -224,14 +224,12 @@ NAMESPACE_BEGIN(Grid);
void Meofa(const GaugeField& U,const FermionField &phi, FermionField & Mphi)
{
#if 0
Lop.ImportGauge(U);
Rop.ImportGauge(U);
FermionField spProj_Phi(Lop.FermionGrid());
FermionField mPhi(Lop.FermionGrid());
std::vector<FermionField> tmp(2, Lop.FermionGrid());
mPhi = phi;
Mphi = phi;
// LH term: S = S - k <\Phi| P_{-} \Omega_{-}^{\dagger} H(mf)^{-1} \Omega_{-} P_{-} |\Phi>
spProj(Phi, spProj_Phi, -1, Lop.Ls);
@ -241,10 +239,12 @@ NAMESPACE_BEGIN(Grid);
SolverL(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);
mPhi = mPhi - Lop.k * innerProduct(spProj_Phi, tmp[0]).real();
spProj(tmp[0], tmp[1], -1, Lop.Ls);
Mphi = Mphi - Lop.k * tmp[1];
// RH term: S = S + k <\Phi| P_{+} \Omega_{+}^{\dagger} ( H(mb)
// - \Delta_{+}(mf,mb) P_{+} )^{-1} \Omega_{-} P_{-} |\Phi>
// - \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]);
@ -252,8 +252,9 @@ NAMESPACE_BEGIN(Grid);
SolverR(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();
#endif
spProj(tmp[0], tmp[1], 1, Rop.Ls);
Mphi = Mphi + Rop.k * tmp[1];
}
// EOFA action: see Eqn. (10) of arXiv:1706.05843
@ -279,7 +280,7 @@ NAMESPACE_BEGIN(Grid);
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>
// - \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]);

57
tests/forces/Test_mobius_force_eofa.cc
View File

@ -89,7 +89,64 @@ int main (int argc, char** argv)
ExactOneFlavourRatioPseudoFermionAction<WilsonImplR> Meofa(Lop, Rop, CG, CG, CG, CG, CG, Params, false);
GridSerialRNG sRNG; sRNG.SeedFixedIntegers(seeds4);
//Check the rational approximation
{
RealD scale = std::sqrt(0.5);
LatticeFermion eta (Lop.FermionGrid());
gaussian(RNG5,eta); eta = eta * scale;
Meofa.refresh(U, eta);
//Phi = M^{-1/2} eta
//M is Hermitian
//(Phi, M Phi) = eta^\dagger M^{-1/2} M M^{-1/2} eta = eta^\dagger eta
LatticeFermion phi = Meofa.getPhi();
LatticeFermion Mphi(FGrid);
Meofa.Meofa(U, phi, Mphi);
std::cout << "Computing inner product" << std::endl;
ComplexD inner = innerProduct(phi, Mphi);
ComplexD test = inner - norm2(eta);
std::cout << "(phi, Mphi) - (eta,eta): " << test << " expect 0" << std::endl;
assert(test.real() < 1e-8);
assert(test.imag() < 1e-8);
//Another test is to use heatbath twice to apply M^{-1/2} to Phi then apply M
// M Phi'
//= M M^{-1/2} Phi
//= M M^{-1/2} M^{-1/2} eta
//= eta
Meofa.refresh(U, phi);
LatticeFermion phi2 = Meofa.getPhi();
LatticeFermion test2(FGrid);
Meofa.Meofa(U, phi2, test2);
test2 = test2 - eta;
RealD test2_norm = norm2(test2);
std::cout << "|M M^{-1/2} M^{-1/2} eta - eta|^2 = " << test2_norm << " expect 0" << std::endl;
assert( test2_norm < 1e-8 );
}
Meofa.refresh(U, sRNG, RNG5 );
RealD S = Meofa.S(U); // pdag M p
// get the deriv of phidag M phi with respect to "U"