rotate_polytope: Apply a random rotation to a convex polytope (H-polytope,...

Description Usage Arguments Details Value Examples

View source: R/rotate_polytope.R

Description

Given a convex H- or V- polytope or a zonotope or an intersection of two V-polytopes as input, this function applies (a) a random rotation or (b) a given rotation by an input matrix T.

Usage

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rotate_polytope(P, rotation = list())

Arguments

P

A convex polytope. It is an object from class (a) Hpolytope, (b) Vpolytope, (c) Zonotope, (d) intersection of two V-polytopes.

rotation

A list that contains (a) the rotation matrix T and (b) the 'seed' to set a spesific seed for the number generator.

Details

Let P be the given polytope and Q the rotated one and T be the matrix of the linear transformation.

Value

A list that contains the rotated polytope and the matrix T of the linear transformation.

Examples

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# rotate a H-polytope (2d unit simplex)
P = gen_simplex(2, 'H')
poly_matrix_list = rotate_polytope(P)

# rotate a V-polytope (3d cube)
P = gen_cube(3, 'V')
poly_matrix_list = rotate_polytope(P)

# rotate a 5-dimensional zonotope defined by the Minkowski sum of 15 segments
Z = gen_rand_zonotope(3, 6)
poly_matrix_list = rotate_polytope(Z)

Example output

Loading required package: Rcpp

volesti documentation built on July 14, 2021, 5:11 p.m.