**quadrilateral**,
a Python code which
carries out geometric calculations on quadrilaterals, including
angles, area, distances, nearest point, point containment, perimeter,
and random generation.

The computer code and data files described and made available on this web page are distributed under the MIT license

**quadrilateral** is available in
a MATLAB version and
an Octave version and
a Python version.

ellipse, a Python code which carries out geometric calculations for ellipses and ellipsoids, including area, distance to a point, eccentricity, perimeter, points along the perimeter, random sampling, conversion between standard and quadratic forms.

geometry, a Python code which performs geometric calculations in 2, 3 and M dimensional space, including the computation of angles, areas, containment, distances, intersections, lengths, and volumes.

hypersphere, a Python code which carries out various operations for a D-dimensional hypersphere, including converting between Cartesian and spherical coordinates, stereographic projection, sampling the surface of the sphere, and computing the surface area and volume.

polygon, a Python code which carries out geometric calculations on polygons, including angles, area, centroid, containment of a point, diameter, integrals of monomials, convexity, distance to a point.

random_data, a Python code which uses a random number generator (RNG) to sample points corresponding to various probability density functions (PDF), spatial dimensions, and geometries, including the annulus, circle, ellipse, ellipsoid, hypercube, hypersphere, polygon, simplex, tetrahedron and triangle.

tetrahedron, a Python code which carries out geometric calculations involving a general tetrahedron, including solid and facial angles, face areas, point containment, distances to a point, circumsphere and insphere, measures of shape quality, centroid, barycentric coordinates, edges and edge lengths, random sampling, and volumes.

triangulate, a Python code which triangulates a possibly nonconvex polygon, based on a C code by Joseph ORourke.

- quadrilateral.py, the source code;
- quadrilateral.sh, runs all the tests;
- quadrilateral.txt, the output file;