normaliz

Tools for computations in affine monoids and rational cones

Normaliz is an open source tool for computations in affine monoids, vector configurations, lattice polytopes, and rational cones. Computation goals * convex hulls and dual cones * conversion from generators to constraints and vice versa * triangulations, disjoint decompositions and Stanley decompositions * Hilbert basis of rational, not necessarily pointed cones * normalization of affine monoids * lattice points of rational polytopes and (unbounded) polyhedra * Hilbert (or Ehrhart) series and (quasi) polynomials under Z-gradings (for example, for rational polytopes) * generalized (or weighted) Ehrhart series and Lebesgue integrals of polynomials over rational polytopes via NmzIntegrate