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elementary functions

You might be interested in looking at the (new) HP-15C, which has
elementary, trig, hyperbolic functions, and their inverses,
over the field of complex numbers.
I understand from Kahan, who specified that calculator,
that the definitions of the functions are somewhat different
(wrt. branch cuts, etc) from those chosen by Penfield.

While people can naturally disagree on such
matters, I think it might be appropriate to consider this as
an alternative.

I do not know if there is an implementation of Penfield's APL
stuff, nor how much usage, even in the presence of a good implementation,
would occur.  Users of HP calculators
have come to expect a certain elegance, consistency,
and attention to detail. I believe the 15-C provides this.