Raymond E. Rogers wrote:
> I will do a writeup in Latex on the versions and transformations.

Yes, I think that more extensive documentation is good idea. In
addition to giving definitions for the elliptic functions, I think it
would be helpful to mention the functions ellint_Kcomp and
ellint_Ecomp in ellipke's documentation (but perhaps not vice-versa.)

> I have no problem doing a ellipke wrapper; but I am very reluctant
> to arbitrarily  change working (more or less) code without agreement
> of several other people.

Perhaps we should wait a few days to see if anyone else comments on
this thread. Comparing the actual algorithms used by ellipke and the
GSL might also be worthwhile. ellipke apparently uses the algorithm in
Sec. 17.6 of Abramowitz and Stegun [1] while GSL uses the algorithm in
DOI: 10.1007/BF01396491. I haven't compared these algorithms.

Kristjan

[1] http://www.math.sfu.ca/~cbm/aands/page_598.htm
[2] http://dx.doi.org/10.1007/BF01396491


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