#7719: Improvements to complex AGM
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Reporter: cremona | Owner: AlexGhitza
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-4.3.1
Component: basic arithmetic | Keywords: complex agm
Work_issues: | Author: John Cremona, Robert Bradshaw
Upstream: N/A | Reviewer: Robert Bradshaw, John Cremona
Merged: |
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Comment(by cremona):
Thanks -- ingeneous.
About Robert's latest: luckily he did what I intended which was to deal
with the special cases (a,-a), (a,0) and (0,b) while leaving alone the
case (a,a) where the limit is (of course) a. I described that last case
as degenerate above since in my application it would be, but as far as the
AGM itself is concerned it is clear that the correct value when a=b is a!
(Note, though, that the 'principal' version will not return a when a=b and
Re(a)<0.)
Secondly, the better precision handling now means that I can revert the
doctest changes for ell_rational_field and period_lattice. Which probably
means that I should not have changed them in the first place...
I'll merge all our patches into a single one for the final review.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7719#comment:21>
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