#11143: Add various Maxima special functions to symbol table
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Reporter: kcrisman | Owner: burcin
Type: defect | Status: new
Priority: major | Milestone:
Component: symbolics | Keywords: ei Ei
Work_issues: | Upstream: N/A
Reviewer: | Author:
Merged: | Dependencies:
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Comment(by kcrisman):
Those are good questions.
I think the most important thing is to make sure that whatever is
implemented has
* good numerical evaluation (perhaps via mpmath)
* translates back and forth to Maxima properly (for integration and
limits)
My sense is that !BuiltinFunction would be best. !GinacFunction probably
is only good for things that in fact evaluate in Ginac. This explains
trig.py. [http://www.ginac.de/tutorial/Built_002din-functions.html|This
Ginac page] shows that the ones which are !GinacFunctions are exactly the
ones which Ginac in fact has. I don't think it has most of these
other functions.
As for !MaximaFunction, it seems to inherit from !BuiltinFunction and
lives in the special functions file. This dates from the days when Sage
had very few options for symbolic stuff and evaluation, and so it just
does a few extra things. If we moved to mpmath for a given function, we
would probably use !BuiltinFunction and then add evaluation options for
Maxima and add to the conversion dictionary as needed.
In fact, it wouldn't be a bad idea to have two different eval procedures
if possible...
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As for where such things go, probably it would make sense to separate a
lot of these special functions out into a separate file. The distinction
between transcendental and special is not totally obvious, for instance :)
----
By the way, we certainly want fewer of the wrapper functions! But that
will take a lot of tedious work.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11143#comment:8>
Sage <http://www.sagemath.org>
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