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InteractiveLPBackend: Use standard-form transformation, objective_constant_term, change default base_ring to QQ #20413

@mkoeppe

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@mkoeppe

Follow-up on #20296, #20311, #20301.
Updating InteractiveLPBackend 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

Depends on #20296
Depends on #20311
Depends on #20301

CC: @novoselt @dimpase @videlec

Component: numerical

Author: Matthias Koeppe

Branch/Commit: c8fa4b0

Reviewer: Dima Pasechnik

Issue created by migration from https://trac.sagemath.org/ticket/20413

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