#19071: Construct lattice polytope faces as polytopes
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Reporter: novoselt | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.9
Component: geometry | Resolution:
Keywords: toric | Merged in:
Authors: Andrey | Reviewers:
Novoseltsev | Work issues:
Report Upstream: N/A | Commit:
Branch: u/novoselt/19071 | 6547b5bda352f8f1f7e9d3011b41224d9fc76434
Dependencies: #19070 | Stopgaps:
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Changes (by novoselt):
* status: new => needs_review
* keywords: => toric
* cc: vbraun (added)
Old description:
> As opposed to a separate class with different methods.
New description:
As opposed to a separate class with different methods. Advantages:
- uniform behaviour with cones
- all polytope methods are available to their faces as well
- less dependence on a particular backend
Since there is now `lattice_polytope.ambient()` returning "the canonical"
containing polytope, `amibient_dim` was renamed to `lattice_dim` to avoid
confusion. Unfortunately, there is now less consistency in names with
generic polyhedra (for which `lattice_dim` makes no sense), but they are
very different anyway.
There is some performance penalty associated with the new way of
constructing faces (#19077 improves things somewhat), but it is mostly due
to constructing face lattice as a poset. So less speed, but more features.
Plus "more speed" was available only through the use of batch methods that
few people use/are aware of.
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Ticket URL: <http://trac.sagemath.org/ticket/19071#comment:4>
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