#19831: Add random_element() for cones
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       Reporter:  mjo                |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-7.0
      Component:  geometry           |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Michael Orlitzky   |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/mjo/ticket/19831                 |  1418c70e3d1f4b1bb5ab356b14feda8bcc85ec87
   Dependencies:                     |     Stopgaps:
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Comment (by novoselt):

 Replying to [comment:7 mjo]:
 > Maybe it makes more sense to have e.g. `latticial=True` instead of
 `ring=ZZ` when there are only two choices (ambient lattice or ambient
 vector space)?
 That's the first time I hear such a word ;-) In the toric geometry cones
 live in real vector spaces. The fact that Sage associates a rational and
 not real one to free modules is just the way how Sage is, in part due to
 technical reasons of working with reals on computers, I guess. In any case
 there is no reason why eventually we can't accept any kind of real field
 with different precision or perhaps some other subrings. So I am more in
 favour of `NotImplementedError` rather than `ValueError` since `RR`, `RDF`
 etc are very sensible choices.

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Ticket URL: <http://trac.sagemath.org/ticket/19831#comment:8>
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