polygenerator 0.1.0

Generates random polygons.

polygenerator

Generates random polygons. This can be useful to test computational geometry algorithms or to generate maps.

Installation

$ pip install polygenerator

API

There are 3 functions and each returns a list of (x, y) tuples:

• random_convex_polygon(num_points)
• random_polygon(num_points)
• random_star_shaped_polygon(num_points)

The generated polygon is made to fit the bounding box (0.0, 0.0) ... (1.0, 1.0) and you can then scale and translate it to where you need it.

Example

from polygenerator import (
    random_polygon,
    random_star_shaped_polygon,
    random_convex_polygon,
)


# these two are only for demonstration
import matplotlib.pyplot as plt
import random


def plot_polygon(polygon, out_file_name):
    plt.figure()
    plt.gca().set_aspect("equal")

    for i, (x, y) in enumerate(polygon):
        plt.text(x, y, str(i), horizontalalignment="center", verticalalignment="center")

    # just so that it is plotted as closed polygon
    polygon.append(polygon[0])

    xs, ys = zip(*polygon)
    plt.plot(xs, ys, "r-", linewidth=0.4)

    plt.savefig(out_file_name, dpi=300)
    plt.close()


# this is just so that you can reproduce the same results
random.seed(5)

polygon = random_polygon(num_points=20)

print(polygon)
# [(0.633385213909564, 0.7365967958574935), (0.5480555383950588, 0.6616499553124763), (0.5526824773965012, 0.5399082630833278), (0.47651656975044715, 0.1562847171200224), (0.211780263278101, 0.11985024210702566), (0.011563117103044742, 0.12131343894869698), (0.02776777678478965, 0.41297620242381444), (0.2831882595429206, 0.9411514041596818), (0.0, 0.8884881505484779), (0.20701109399057388, 0.9700145767610514), (0.2932049212796463, 0.9940396395241987), (0.7024623622191127, 1.0), (0.809077387585075, 0.9717422011442743), (1.0, 0.889663530991249), (0.9601646445268924, 0.6278354104701399), (0.9168705153810578, 0.0), (0.8110693657038247, 0.02995395054812518), (0.6278284961406966, 0.01581195981039065), (0.7790276993942304, 0.05437135270534656), (0.752691110661913, 0.948158571633034)]

plot_polygon(polygon, "random_polygon.png")

polygon = random_star_shaped_polygon(num_points=20)
plot_polygon(polygon, "random_star_shaped_polygon.png")

polygon = random_convex_polygon(num_points=20)
plot_polygon(polygon, "random_convex_polygon.png")

Notes

• For the generation of a concave/general polygon, algorithms with better scaling exist but this was good enough for me since for testing I did not need polygons with more than 100 points. Improvements welcome.