#18442: Implement the barycentric subdivision of the boundary of a polytope
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       Reporter:  jipilab            |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.8
      Component:  geometry           |   Resolution:
       Keywords:  polytope,          |    Merged in:
  barycentric subdivision            |    Reviewers:
        Authors:  Jean-Philippe      |  Work issues:
  Labbé                              |       Commit:
Report Upstream:  N/A                |  b55e13c34610374c879d89c9d2cefdf457989a4d
         Branch:                     |     Stopgaps:
  public/ticket/18442                |
   Dependencies:                     |
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Comment (by dimpase):

 Replying to [comment:30 jipilab]:
 > The discussion on sage-devel available here:
 >
 > https://groups.google.com/forum/#!searchin/sage-devel/barycentric/sage-
 devel/HubsPplvkE4/gw0avDkWCQAJ
 >
 > Led me to only test for rational polytopes. The barycentric subdivision
 is fast enough on the rationals and will ultimately lead to problems in
 RDF in any case, therefore I would say it is not necessary to test it.
 >
 > I would say it is also not necessary to warn the user, as the user
 should know that doing such computations in RDF will lead to errors.
 >
 > Is that reasonable?
 >
 > The current last commit made test pass on sage-6.9.

 there is also a backend to work with real algebraic numbers.
 (`Polyhedron(...., backend='field'...)`)
 I think your code needs to be tested with it, too...

--
Ticket URL: <http://trac.sagemath.org/ticket/18442#comment:31>
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