volesti (version 1.1.2-9)

gen_rand_zonotope: Generator function for zonotopes

Description

This function generates a random \(d\)-dimensional zonotope defined by the Minkowski sum of \(m\) \(d\)-dimensional segments. The function considers \(m\) random directions in \(R^d\). There are three strategies to pick the length of each segment: a) it is uniformly sampled from \([0,100]\), b) it is random from \(\mathcal{N}(50,(50/3)^2)\) truncated to \([0,100]\), c) it is random from \(Exp(1/30)\) truncated to \([0,100]\).

Usage

gen_rand_zonotope(
  dimension,
  nsegments,
  generator = list(distribution = "uniform")
)

Value

A polytope class representing a zonotope.

Arguments

dimension

The dimension of the zonotope.

nsegments

The number of segments that generate the zonotope.

generator

A list that could contain two elements.

distribution

The distribution to pick the length of each segment from \([0,100]\): (i) 'uniform', (ii) 'gaussian' or (iii) 'exponential', the default value is 'uniform.

seed

Optional. A fixed seed for the number generator.

Examples

# generate a 10-dimensional zonotope defined by the Minkowski sum of 20 segments
P = gen_rand_zonotope(10, 20)