When to simplify complete elliptic integrals?



Just noticed that the documentation for elliptic_kc and elliptic_ec says
to use makegamma to convert these functions to gamma functions when
possible.  Thus elliptic_ec(1/2) remains elliptic_ec(1/2).  But call
makegamma and we get an expression involving gamma(1/4).

Is that how the simplification of elliptic_ec should be done?  Should
elliptic_ec(1/2) returned the gamma expression itself?

Ray