Numerical libraries | Computer arithmetic

Integer set library

isl (integer set library) is a portable C library for manipulating sets and relations of integer points bounded by linear constraints. The following operations are supported: * intersection, union, set difference * emptiness check * convex hull * (integer) affine hull * integer projection * computing the lexicographic minimum using parametric integer programming * coalescing * 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. All computations are performed in exact integer arithmetic using GMP or imath. Many program analysis techniques are based on integer set manipulations. The integers typically represent iterations of a loop nest or elements of an array.isl uses parametric integer programming to obtain an explicit representation in terms of integer divisions. It is used as backend polyhedral library in the GCC Graphite framework and in the LLVM Polly framework for loop optimizations. (Wikipedia).

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Related pages

Affine hull | Piecewise | Convex hull | Upper and lower bounds | Map (mathematics) | Transitive closure | Program analysis | Mathematical software | LLVM | Frameworks supporting the polyhedral model | Empty set | Integer programming | GNU Multiple Precision Arithmetic Library | Vertex enumeration problem | Bounded set | Set (mathematics) | Integer | Coalescing (computer science) | Union (set theory) | Loop optimization | Intersection | Basis (linear algebra) | Lattice reduction | Projection (mathematics) | Linear inequality | Dependence analysis | Constraint (mathematics) | Linear programming