Write Log(x^2) as 2 Log(abs(x)) to increase the precision.
Separate the calculation of delta alpha_i to make the code testable.
Increase the test precision for g3
Decrease the test precision on the Yukawa couplings, because they
have changed due to the gauge coupling change (the fermion self-energies
depend on the gauge couplings).
Reenable the coefficient test for g3.  However, the test precision
is weaker than before because we resum the logs.
Do not use the one-loop light fermion masses to determin the Yukawa
couplings, because the result will be very unprecise.
Resumming logarithms in the calculation of sin(ThetaW) by not exanding
the square root
Use the user-defined gauge coupling names instead of hard-coding them
in the template file.