#16773: Analytic Rank Bound
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       Reporter:  spice              |        Owner:  spice
           Type:  enhancement        |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.5
      Component:  elliptic curves    |   Resolution:
       Keywords:  elliptic curves,   |    Merged in:
  analytic rank, l-functions         |    Reviewers:  William Stein
        Authors:  Simon Spicer       |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  bbe851c24ed0cf48d1d746bcee4258e7394048ca
  u/spice/analytic_rank_bound        |     Stopgaps:
   Dependencies:                     |
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Comment (by spice):

 I adding tolerances to each of the numerical doctests; this should help
 with the numerical errors that appear when the tests are run on different
 architecture.

 As for that one random error in ell_rational_field.py, I've tracked it to
 @parallel code being executed when ncpus is large (>8). Given that it
 seems to run fine on some systems but not others, my guess is that it's
 probably an issue somewhere in the @parallel framework as opposed to the
 new code in this patch.

 Nevertheless, I've reworked the doctest in any case -- a test using that
 many CPUs is excessive, and it was still taking longer than the suggested
 ~5 seconds. It now uses smaller parameters and only calls for 2
 processors. This should hopefully make it run without issue on any system.

 All doctests pass on SMC architecture. I'll also run the full test suite
 on a different system just to be sure.

--
Ticket URL: <http://trac.sagemath.org/ticket/16773#comment:44>
Sage <http://www.sagemath.org>
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