#11143: define symbolic functions for exponential integrals
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Reporter: kcrisman | Owner: burcin
Type: defect | Status: new
Priority: major | Milestone: sage-4.7.1
Component: symbolics | Keywords: ei Ei special function maxima
Work_issues: | Upstream: N/A
Reviewer: Burcin Erocal | Author: Benjamin Jones
Merged: | Dependencies:
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Comment(by burcin):
The timings are really instructive, we should link to them from
[wiki:symbolics/functions wiki page]. Thank you for this careful study.
Replying to [comment:15 benjaminfjones]:
>
> So I think in the interest of speedy evaluation it's best to leave the
special
> cases out, but point out in the documentation that Maxima knows about
them.
I think your timings show that using the CIF approximation is not such a
big penalty. Note that your timings also reflect the construction of the
result and not just including that change. It is better if Sage can do the
evaluation automatically without having to pass through a `simplify()`
call. I'd like them in, with the approximation approach.
Since this approximation is being called so often, we should make it a
method of symbolic expressions. I opened a new ticket for this: #11513.
This ticket should depend on that.
I will provide a preliminary patch for #11513 soon.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11143#comment:16>
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