#17088: PeriodicRegion.__div__: use integer arithmetic
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Reporter: jdemeyer | Owner:
Type: defect | Status: new
Priority: critical | Milestone: sage-6.4
Component: elliptic curves | Resolution:
Keywords: | Merged in:
Authors: Jeroen Demeyer | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/jdemeyer/ticket/17088 | 15b7588e82c7d67bbbab14fec4c14c862bcc4c1f
Dependencies: | Stopgaps:
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Comment (by cremona):
OK, I am looking at the code. Note that this was implemented by Robert
Bradshaw based on (a small) part of a thesis by a student of mine
(published at
http://www.ams.org/journals/mcom/2010-79-272/S0025-5718-10-02352-5/). I
worked hard to get RB's code into acceptable shape as regards doctests
etc. The application for this is in finding a lower bound for the
canonical height of non-torsion points on elliptic curves over number
fields, and this particular bit of code is dealing with the worst case, a
complex embedding, with period parallelograms being recursively divided
into sub-parallelogams to solve a minimization problem. It is by far the
nastiest part of the code.
At the moment I cannot see how the new code manages to do in one line what
the old code took 4 lines to do, but Jeroen is very clever so I will look
again.
--
Ticket URL: <http://trac.sagemath.org/ticket/17088#comment:7>
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