generic latte_int interface to count

[vdelecroix]

We provide a file sage/interfaces/latte.py that provides a uniform function count to query the LattE program count (integrate will be dealt with in another ticket). It is used in this ticket to refactor ehrhart_polynomial and integral_points_count.

Prerequisite for #18232.

[tmonteil]

Why not putting this in the interfaces section ?

[vdelecroix]

New commits:

​be2de21

22497: generic interface to LattE integrale count22497: generic

[git]

Branch pushed to git repo; I updated commit sha1. This was a forced push. New commits:

​cf9f0de

22497: generic interface to LattE integrale count

[git]

Branch pushed to git repo; I updated commit sha1. This was a forced push. New commits:

​9a0d0a2

22497: generic interface to LattE integrale count

[mkoeppe]

Keyword arguments should be provided (perhaps via decorator) for the benefit of tab completion.

[vdelecroix]

Replying to mkoeppe:

Keyword arguments should be provided (perhaps via decorator) for the benefit of tab completion.

This would be nice to have but not implemented. Did you have something in mind? The implementation I have in mind is a kind of challenge since you have to play with the bytecode of the function...

[mkoeppe]

OK, separate ticket then

[fbissey]

I have one failure when latte_int is not installed

sage -t --long /usr/lib64/python2.7/site-packages/sage/interfaces/latte.py
**********************************************************************
File "/usr/lib64/python2.7/site-packages/sage/interfaces/latte.py", line 51, in sage.interfaces.latte.count
Failed example:
    count(P.cdd_Hrepresentation(), cdd=True, ehrhart_polynomial=True)
Exception raised:
    Traceback (most recent call last):
      File "/usr/lib64/python2.7/site-packages/sage/doctest/forker.py", line 501, in _run
        self.compile_and_execute(example, compiler, test.globs)
      File "/usr/lib64/python2.7/site-packages/sage/doctest/forker.py", line 864, in compile_and_execute
        exec(compiled, globs)
      File "<doctest sage.interfaces.latte.count[2]>", line 1, in <module>
        count(P.cdd_Hrepresentation(), cdd=True, ehrhart_polynomial=True)
      File "/usr/lib64/python2.7/site-packages/sage/interfaces/latte.py", line 149, in count
        raise RuntimeError("LattE integrale program failed (exit code {})".format(ret_code) + err.strip())
    RuntimeError: LattE integrale program failed (exit code 2):
    usage: count <expected line count>
**********************************************************************
1 item had failures:

I see this test is not marked optional, is it normal?

[vdelecroix]

it is not. Thanks for testing.

[git]

Branch pushed to git repo; I updated commit sha1. This was a forced push. New commits:

​d5ff154

22497: generic interface to LattE integrale count

[slabbe]

When looking at this branch, I could not understand how the problem solved in #21491 was not reappearing. I tested 7.6.rc0 and everything was fine so I could not understand. I just realized the existence of #22577 which is a follow up of this ticket. So now I understand everything, and everything is great, thank you!