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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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57
tests/forces/Test_mobius_force_eofa.cc
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@ -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"