Polytopes normaliz backend doesn't handle a polytope with a trivial integral hull

[tscrim]

Here is an example that is not handled properly:

sage: ieqs = [[1, 2, -1, 0], [0, -1, 2, -1], [0, 0, -1, 2], [0, -1, 0, 0], [0, 0, -1, 0], 
....: [0, 0, 0, -1], [-1, -1, -1, -1], [1, 1, 0, 0], [1, 0, 1, 0], [1, 0, 0, 1]]
sage: P = Polyhedron(ieqs=ieqs, backend='normaliz')
sage: P.bounding_box()
((-3/4, -1/2, -1/4), (-1/2, -1/4, 0))
sage: P.bounding_box(integral_hull=True)
(None, None)
sage: P.integral_points()
---------------------------------------------------------------------------
TypeError                                 Traceback (most recent call last)
<ipython-input-17-2abbf2adff15> in <module>()
----> 1 P.integral_points()

/home/travis/sage-build/local/lib/python2.7/site-packages/sage/geometry/polyhedron/backend_normaliz.pyc in integral_points(self, threshold)
    568         if threshold > 1:
    569             box_min, box_max = self.bounding_box(integral_hull=True)
--> 570             box_points = prod(max_coord-min_coord+1 for min_coord, max_coord in zip(box_min, box_max))
    571             if  box_points<threshold:
    572                 from sage.geometry.integral_points import rectangular_box_points

TypeError: zip argument #1 must support iteration

CC: @mkoeppe

Component: geometry

Author: Travis Scrimshaw

Branch/Commit: aa9f258

Reviewer: Matthias Koeppe

Issue created by migration from https://trac.sagemath.org/ticket/22938

[tscrim]

New commits:

aa9f258

Fixing integral points for a non-empty polytope with trivial integral hull.

[tscrim]

Commit: aa9f258

[tscrim]

Branch: public/geometry/integral_points_empty_hull_normaliz-22938

[mkoeppe]

comment:2

Thanks for fixing this.

[mkoeppe]

Reviewer: Matthias Koeppe

[vbraun]

Changed branch from public/geometry/integral_points_empty_hull_normaliz-22938 to aa9f258