#16813: symbolic Legendre / associated Legendre functions / polynomials
-------------------------------------+-------------------------------------
Reporter: rws | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.4
Component: symbolics | Resolution:
Keywords: | Merged in:
Authors: Ralf Stephan | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/rws/symbolic_legendre___associated_legendre_functions___polynomials|
74ca8ea0fd8ef0eab57ceb1405e0887efd971bc9
Dependencies: | Stopgaps:
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Comment (by maldun):
Replying to [comment:26 rws]:
> Well, I have implemented your recurrence using multivariate polynomials
where the generator `l` stands for the `log` term and gets substituted
subsequently. This is already twice as fast as Maxima. However, your
intuition was right that the `W(n,x)` formula is still faster, my guess
because univariate polys are faster than multi. Note that the `P(n,x)`
have to be computed, too, but nevertheless it's about 10x the speed of
Maxima (which BTW uses the wrong log branch as well).
>
> I might add some introductory doc cleanup but the functions themselves
are now finished. Please review.
If Maxima uses also this branch of the logarithm we should make sure that
changing the branch of the logarithm does not interfere with existing
code. Have you already testet the complete sage library with
{{{
sage -testall
}}}
?
We should also ask on the mailing list if there are some objections with
that.
Personally I'm fine with both, as long as it is consistent, since using
another branch of the logarithm is not wrong, but maybe not expected.
(Maybe I programmed the recursion that way, since I compared it with
Maxima that time, so that the output does not change)
--
Ticket URL: <http://trac.sagemath.org/ticket/16813#comment:27>
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