{Polyhedron, ConvexRationalPolyhedralCone}.{interior, relative_interior}

[mkoeppe]

We introduce new methods relative_interior and interior, which (in nontrivial cases) return a simple object with a __contains__ method.

Then one can write x in P.relative_interior() instead of P.relative_interior_contains(x).

This will also simplify #31660.

CC: @kliem @yuan-zhou @jplab @tscrim @novoselt @orlitzky

Component: geometry

Author: Matthias Koeppe

Branch/Commit: fa4c2d2

Reviewer: Jonathan Kliem

Issue created by migration from https://trac.sagemath.org/ticket/31916

[mkoeppe]

Author: Matthias Koeppe

[mkoeppe]

Branch: u/mkoeppe/polyhedron_relative_interior

[mkoeppe]

Commit: e9c670c

[mkoeppe]

Description changed:

--- 
+++ 
@@ -1,4 +1,6 @@
-We introduce a new method `relative_interior`, which returns a simple object with a `__contains__` method. Then one can write `x in P.relative_interior()` instead of `P.relative_interior_contains(x)`.
+We introduce new methods `relative_interior` and `interior`, which (in nontrivial cases) return a simple object with a `__contains__` method. 
+
+Then one can write `x in P.relative_interior()` instead of `P.relative_interior_contains(x)`.
 
 This will also simplify #31660.
 

[mkoeppe]

New commits:

e9c670c

sage.geometry.polyhedron.relint, Polyhedron_base.relative_interior, Polyhedron_base.interior: New

[sagetrac-git]

Changed commit from e9c670c to b8bfe20

[sagetrac-git]

Branch pushed to git repo; I updated commit sha1. New commits:

9df2104	sage.geometry.relative_interior: Move here from sage.geometry.polyhedron.relint
b8bfe20	ConvexRationalPolyhedralCone: Add methods interior, relative_interior

[sagetrac-git]

Changed commit from b8bfe20 to 6869673

[sagetrac-git]

Branch pushed to git repo; I updated commit sha1. New commits:

6869673

relative_interior: Fix for dimension 0

[sagetrac-git]

Branch pushed to git repo; I updated commit sha1. New commits:

021d073

RelativeInterior: Add documentation, tests, comparison methods, method relative_interior

[sagetrac-git]

Changed commit from 6869673 to 021d073

[sagetrac-git]

Changed commit from 021d073 to 8f38e04

[sagetrac-git]

Branch pushed to git repo; I updated commit sha1. New commits:

8f38e04

ConvexRationalPolyhedralCone.interior, relative_interior: Add doctests

[kliem]

Reviewer: Jonathan Kliem

[kliem]

comment:9

There are various small things:

The interior of a non-full-dimensional cone should be a cone, not a polyhedron.

Why do you implement relative_interior for relative interiors but not interior?

Why is closure defined for relative interiors, but not for polyhedra or cones? The problem is, that P.relative_interior().closure() will not always work.

Comparison will raise AttributeErrors, when other is the universe.