#11429: Count integral points without PALP
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Reporter: vbraun | Owner: AlexGhitza
Type: enhancement | Status: new
Priority: major | Milestone: sage-4.7.1
Component: algebraic geometry | Keywords:
Work_issues: | Upstream: N/A
Reviewer: | Author: Volker Braun
Merged: | Dependencies:
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We want our own code to enumerate lattice points in polyhedra because:
* Going through the PALP pexpect interface is annoyingly slow.
* no more compile-time bounds
* It seems like PALP uses a very unsophisticated algorithm:
{{{
sage: v = [(1,0,7,-1), (-2,-2,4,-3), (-1,-1,-1,4), (2,9,0,-5),
(-2,-1,5,1)]
sage: lp = LatticePolytope(matrix(v).transpose()); lp
A lattice polytope: 4-dimensional, 5 vertices.
sage: lp.npoints()
}}}
takes forever with PALP but only 500ms with my Python code.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11429>
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