islpy is a Python wrapper around Sven Verdoolaege's isl, a library for manipulating sets and relations of integer points bounded by linear constraints.

Supported operations on sets include

• intersection, union, set difference,
• emptiness check,
• convex hull,
• (integer) affine hull,
• integer projection,
• computing the lexicographic minimum using parametric integer programming,
• coalescing, and
• parametric vertex enumeration.

It also includes an ILP solver based on generalized basis reduction, transitive closures on maps (which may encode infinite graphs), dependence analysis and bounds on piecewise step-polynomials.