On Thu, Jul 8, 2021 at 7:15 PM kcrisman <kcris...@gmail.com> wrote:
>
>
>> I presume you can enumerate vertices and facets,
>
>
> Unsure on how easy it will be to do this for my use case.
>
>>
>> or remove redundant inequalities in a more direct way.
>
>
> On a case-by-case basis, in principle, yes, this is the approach taken in the 
> particular literature I'm looking at.

 However, what I really want is the Ehrhart quasi-polynomials for
these things, and it would be "best" to automate it completely from
the original inequalities, which take a very predictable form.

maybe you could actually figure out the the irredundant ones? (which
would amount - dually- to repeatedly adding  inequalities to a pool
and check that the pool elements are - dually -  in convex position,
removing
ones which are not.)
If this sort of sieving is not implemented in Sage then it should.

Also, aside from Normaliz, PPL
(https://www.bugseng.com/products/ppl/documentation/user/ppl-user-1.2-html/index.html),
on which Sage's rational polyhedra code is based, has  all these
non-closed, half-closed, etc
things, they just have not made it fully into Sage interface.


>  Maybe it will be easiest to use non-strict inequalities, and then subtract 
> off (as Matthias implies) the lower-dimensional equalities.  Thanks!
>
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