We are interested in the fast computation of the exact value of integrals of polynomial functions over convex polyhedra. We present speed ups and extensions of the algorithms presented in previous work by some of the authors. We present a new software implementation and provide benchmark computations. The computation of integrals of polynomials over polyhedral regions has many applications; here we demonstrate our algorithmic tools solving a challenge from combinatorial voting theory.
LattE is a tool that performs exact integration of polynomial functions over polytopes REF .
Software for exact integration of polynomials over polyhedra
Comput. Geom., 46, 232-252
Mathematics Computer Science