hypersphere, a C++ code which carries out various operations for an M-dimensional hypersphere, including converting between Cartesian and spherical coordinates, stereographic projection, sampling the surface of the sphere, and computing the surface area and volume.
The computer code and data files described and made available on this web page are distributed under the MIT license
hypersphere is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and a Python version.
ellipse, a C++ 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 C++ code which performs geometric calculations in 2, 3 and M dimensional space.
HYPERSPHERE_MONTE_CARLO, a C++ code which applies a Monte Carlo method to estimate the integral of a function on the surface of the unit sphere in M dimensions;
polygon, a C++ code which computes properties of an arbitrary polygon in the plane, defined by a sequence of vertices, including interior angles, area, centroid, containment of a point, convexity, diameter, distance to a point, inradius, lattice area, nearest point in set, outradius, uniform sampling.
random_data, a C++ code which generates sample points for various probability distributions, spatial dimensions, and geometries, including the M-dimensional cube, ellipsoid, simplex and sphere.
SPHERE_STEREOGRAPH, a C++ code which computes the stereographic mapping between points on the unit sphere and points on the plane Z = 1; a generalized mapping is also available