Let $\lbrace v_1 , v_2, v_3 , v_4 \rbrace \subset \Bbb{Z}^4$ be linearly independent, and denote by $P$ the convex hull of this set. Now, $P$ is a 3-polytope residing in four-dimensional space. What's the quickest way to compute the Ehrhart polynomial of $P$?
It seems that the examples that I've come across obtain Ehrhart polynomials for full-dimensional n-polytopes in $\Bbb{R}^n$.