simplex_grid, a Fortran77 code which generates a grid of points over the interior of a simplex in M dimensions.
The computer code and data files described and made available on this web page are distributed under the MIT license
simplex_grid 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.
asa299, a Fortran77 library which computes the lattice points in an M-dimensional simplex, by Chasalow and Brand; this is a version of Applied Statistics Algorithm 299;
BALL_GRID, a Fortran77 library which computes a grid of points over the interior of a ball in 3D.
CIRCLE_ARC_GRID, a Fortran77 program which computes points equally spaced along a circular arc in 2D.
CUBE_GRID, a Fortran77 library which computes a grid of points over the interior of a cube in 3D.
DISK_GRID, a Fortran77 library which computes a grid of points over the interior of a disk in 2D.
ELLIPSE_GRID, a Fortran77 library which computes a grid of points over the interior of an ellipse in 2D.
ELLIPSOID_GRID, a Fortran77 library which computes a grid of points over the interior of an ellipsoid in 3D.
FEM_BASIS, a Fortran77 library which can define basis functions for the finite element method (FEM) for any degree in an M-dimensional simplex (1D interval, 2D triangle, 3D tetrahedron, and higher dimensional generalizations.)
HYPERCUBE_GRID, a Fortran77 library which computes a grid of points over the interior of a hypercube in M dimensions.
LINE_GRID, a Fortran77 library which computes a grid of points over the interior of a line segment in 1D.
PYRAMID_GRID, a Fortran77 library which computes a grid of points over the interior of the unit pyramid in 3D;
SIMPLEX_COORDINATES, a Fortran77 library which computes the Cartesian coordinates of the vertices of a regular simplex in M dimensions.
SIMPLEX_GM_RULE, a Fortran77 library which defines Grundmann-Moeller quadrature rules over the interior of a simplex in M dimensions.
SIMPLEX_INTEGRALS, a Fortran77 library which returns the exact value of the integral of any monomial over the interior of the unit simplex in M dimensions.
SIMPLEX_MONTE_CARLO, a Fortran77 library which uses the Monte Carlo method to estimate integrals over the interior of the unit simplex in M dimensions.
SPHERE_GRID, a Fortran77 library which provides a number of ways of generating grids of points, or of points and lines, or of points and lines and faces, on the surface of the unit sphere in 3D.
SQUARE_GRID, a Fortran77 library which computes a grid of points over the interior of a square in 2D.
TETRAHEDRON_GRID, a Fortran77 library which computes a grid of points over the interior of a tetrahedron in 3D.
TRIANGLE_GRID, a Fortran77 library which computes a grid of points over the interior of a triangle in 2D.
WEDGE_GRID, a Fortran77 library which computes a grid of points over the interior of the unit wedge in 3D.