#20413: InteractiveLPProblem: Use standard-form transformation,
objective_constant_term, change default base_ring to QQ
-------------------------------------+-------------------------------------
       Reporter:  mkoeppe            |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-7.2
      Component:  numerical          |   Resolution:
       Keywords:  lp                 |    Merged in:
        Authors:  Matthias Koeppe    |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/mkoeppe/fx_with_new_interactive_simplex_objshift|  
c8fa4b0a9a706f79786f8ee94e0c955e3cabae51
   Dependencies:  #20296, #20311,    |     Stopgaps:
  #20301                             |
-------------------------------------+-------------------------------------

Old description:

> Follow-up on #20296, #20311, #20301.
> Updating `InteractiveLPProblem` to:
>  - use the standard-form transformation,
>  - simplify its code slightly by making use of the new
> `objective_constant_term` handling in `InteractiveLPProblem`
>  - make the example of optimizing over the dodecahedron more natural and
> remove use of backend methods.

New description:

 Follow-up on #20296, #20311, #20301.
 Updating `InteractiveLPProblem` to:
  - use the standard-form transformation,
  - simplify its code slightly by making use of the new
 `objective_constant_term` handling in `InteractiveLPProblem`
  - make the example of optimizing over the dodecahedron more natural and
 remove use of backend methods.
  - change default `base_ring` to QQ -- a much saner default because it's
 so much faster

--

Comment (by mkoeppe):

 Rebased on top of 7.2.beta4, which merged #20415.

 Made the change to a better (much faster) default `base_ring` QQ.

 Needs review.

--
Ticket URL: <http://trac.sagemath.org/ticket/20413#comment:11>
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