Cddplus

The program cdd+ is a C++ implementation of the Double Description Method of Motzkin et al. for generating all vertices (i.e. extreme points) and extreme rays of a general convex polyhedron in R^d given by a system of linear inequalities:

P = { x : A x <= b }

where A is an m x d real matrix and b is a real m dimensional vector. The program can be used for the reverse operation (i.e. convex hull computation) if one run cdd with "hull" option. This means that one can move back and forth between an inequality representation and a generator (i.e. vertex and ray) representation of a polyhedron with cdd+. Also, cdd+ can solve a linear programming problem, i.e. a problem of maximizing and minimizing a linear function over P.

The program cdd+ is a C++ version of the ANSI C program cdd basically for the same purpose. The main difference is that it can be compiled for both rational (exact) arithmetic and floating point arithmetic. (Note that cdd runs on floating arithmetic only.)

To compile cdd+, run autoreconf --install, configure, make.