simplex_grid, a C code which generates a grid of points over the interior of a simplex in M dimensions.
The information on this web page is 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 C code 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 C code which computes a grid of points over the interior of a ball in 3D.
circle_arc_grid, a C code which computes points equally spaced along a circular arc in 2D.
cube_grid, a C code which computes a grid of points over the interior of a cube in 3D.
disk_grid, a C code which computes a grid of points over the interior of a disk in 2D.
ellipse_grid, a C code which computes a grid of points over the interior of an ellipse in 2D.
ellipsoid_grid, a C code which computes a grid of points over the interior of an ellipsoid in 3D.
fem_basis, a C code 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 C code which computes a grid of points over the interior of a hypercube in M dimensions.
line_grid, a C code which computes a grid of points over the interior of a line segment in 1D.
polygon_grid, a C code which generates a grid of points over the interior of a polygon in 2D.
pyramid_grid, a C code which computes a grid of points over the interior of the unit pyramid in 3D;
simplex_coordinates, a C code which computes the Cartesian coordinates of the vertices of a regular simplex in M dimensions.
simplex_gm_rule, a C code which defines Grundmann-Moeller quadrature rules over the interior of a simplex in M dimensions.
simplex_integrals, a C code 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 C code which uses the Monte Carlo method to estimate integrals over the interior of the unit simplex in M dimensions.
sphere_fibonacci_grid, a C code which computes a grid of points using the Fibonacci spiral over the surface of a sphere in 3D.
sphere_grid, a C code 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.
sphere_llq_grid, a C code which uses longitudes and latitudes to create grids of points, lines, and quadrilaterals on the surface of the unit sphere in 3D.
sphere_llt_grid, a C code which uses longitudes and latitudes to create grids of points, lines, and triangles on the surface of the unit sphere in 3D.
square_grid, a C code which computes a grid of points over the interior of a square in 2D.
tetrahedron_grid, a C code which computes a grid of points over the interior of a tetrahedron in 3D.
triangle_grid, a C code which computes a grid of points over the interior of a triangle in 2D.
wedge_grid, a C code which computes a grid of points over the interior of the unit wedge in 3D.