Integration of polynomials over polytopes with LattE

[mkoeppe]

The ticket #22522 makes available a function sage.interfaces.latte.integrate that calls the corresponding LattE function. We make this low level function available as a method of polyhedra.

Moreover, we add a new "engine" to the existent volume method of Polyhedron, interfacing with sage.interfaces.latte.integrate.

Depends on #22522

CC: @jplab @mo271

Component: geometry

Keywords: days84, polytope

Author: Marcelo Forets

Branch/Commit: dc544fa

Reviewer: Matthias Koeppe

Issue created by migration from https://trac.sagemath.org/ticket/20887

[videlec]

Dependencies: #22522

[videlec]

Description changed:

--- 
+++ 
@@ -1 +1 @@
-
+The ticket #22522 makes available a function `sage.interfaces.latte.integrate` that calls the corresponding LattE function. We make this low level function available as a method of polyhedra.

[mforets]

Branch: u/mforets/22497

[mforets]

Commit: 6a474f9

[mforets]

New commits:

d5ff154	22497: generic interface to LattE integrale count
96e4099	Integral of a polynomial over a polytope.
d3c9589	Add volume function to generic latte_int interface.
000bf8b	Restructured the script, with an integrate function accepting different valuations.
5aa6695	Added test for helper function _to_latte_polynomial.
72d03a1	Minor changes to helper function and integrate.
6a474f9	fixed a typo in the docstring

[sagetrac-git]

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

17911f7

Added integrate method to Polyhedron base.py

[sagetrac-git]

Changed commit from 6a474f9 to 17911f7

[mforets]

Description changed:

--- 
+++ 
@@ -1 +1,3 @@
 The ticket #22522 makes available a function `sage.interfaces.latte.integrate` that calls the corresponding LattE function. We make this low level function available as a method of polyhedra.
+
+Moreover, we add a new "engine" to the existent `volume` method of Polyhedron, interfacing with `sage.interfaces.latte.integrate`. 

[sagetrac-git]

Changed commit from 17911f7 to 507aea5

[sagetrac-git]

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

91d885e	Fix the docstrings, and enhance integrate method.
507aea5	Add the new volume engine Polyhedron.

[videlec]

comment:8

The commits here and at #22522 are exactly the same (last being 507aea5). You need to be clear about what belong to which ticket and update the branches accordingly.

[sagetrac-git]

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

a563192

fix a bug in _volume_latte