#20415: Polyhedron.to_linear_program should select solver by base_ring
-------------------------------------+-------------------------------------
       Reporter:  mkoeppe            |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-7.2
      Component:  geometry           |   Resolution:
       Keywords:  lp                 |    Merged in:
        Authors:  Matthias Koeppe    |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/mkoeppe/polyhedron_to_linear_program_should_select_solver_by_base_ring|  
7b7aa5e78ce749805681e252e402f9c08feedbd9
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------
Description changed by mkoeppe:

Old description:

> This is a follow-up on #20301.
> #20296 provides a way to select a suitable solver by its `base_ring`.
>
> `Polyhedron.to_linear_program` should do that.
>
> Note, for exact polyhedra, this will change the behavior of
> `to_linear_program` from inexact computation to exact computation, which
> will be much slower. To restore the old behavior, the user would need to
> pass an explicit `base_ring=RDF` or `solver=...` argument to
> `to_linear_program`.
> (The patch adds many examples that illustrate this.)

New description:

 This is a follow-up on #20301.
 #20296 provides a way to select a suitable solver by its `base_ring`.

 `Polyhedron.to_linear_program` should do that.

 Note, for exact polyhedra, this will change the behavior of
 `to_linear_program` from inexact computation to exact computation, which
 will be much slower (but note, speed is irrelevant for this method,
 because when the `Polyhedron` was set up, already the double description
 has been computed eagerly.)

 To restore the old behavior, the user would need to pass an explicit
 `base_ring=RDF` or `solver=...` argument to `to_linear_program`.
 (The patch adds many examples that illustrate this.)

--

--
Ticket URL: <http://trac.sagemath.org/ticket/20415#comment:3>
Sage <http://www.sagemath.org>
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