gen_rand_vpoly {volesti}

Generator function for random V-polytopes

Description

This function generates a d-dimensional polytope in V-representation with m vertices. We pick m random points from the boundary of the d-dimensional unit hypersphere as vertices.

Usage

gen_rand_vpoly(dimension, nvertices, generator = list(body = "sphere"))

Arguments

dimension

The dimension of the convex polytope.

nvertices

The number of the vertices.

generator

A list that could contain two elements.

• body the body that the generator samples uniformly the vertices from: (i) 'cube' or (ii) 'sphere', the default value is 'sphere'.

• seed Optional. A fixed seed for the number generator.

Value

A polytope class representing a V-polytope.

Examples

# generate a 10-dimensional polytope defined as the convex hull of 25 random vertices
P = gen_rand_vpoly(10, 25)