ellipsoid, a Fortran90 code which carries out geometric calculations for ellipsoids, including area, random sampling, conversion between standard and quadratic forms.
The computer code and data files described and made available on this web page are distributed under the MIT license
ellipsoid is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.
ellipse, a Fortran90 code which carries out geometric calculations for ellipses, including area, distance to a point, eccentricity, perimeter, points along the perimeter, random sampling, conversion between standard and quadratic forms.
ellipsoid_monte_carlo, a Fortran90 code which uses the Monte Carlo method to estimate the value of integrals over the interior of an ellipsoid in M dimensions.
elliptic_integral, a Fortran90 code which evaluates complete elliptic integrals of first, second and third kind, using the Carlson elliptic integral functions.
geometry, a Fortran90 code which performs geometric calculations in 2, 3 and M dimensional space, including the computation of angles, areas, containment, distances, intersections, lengths, and volumes.
random_data, a Fortran90 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, simplex, tetrahedron and triangle.
triangle, a Fortran90 code which computes properties, including angles, area, centroid, circumcircle, edge lengths, incircle, orientation, orthocenter, and quality, of a triangle in 2D.