# ellipsoid_grid

ellipsoid_grid, a C code which generates a grid of points over the interior of an ellipsoid in 3D.

The library allows the user to define an ellipsoid by choosing the 3D coordinates of its center and the lengths of its three axes. The user also choose N, the number of subintervals into which the shortest radius will be subdivided. It then returns the gridpoints defined by that choice.

### Languages:

ellipsoid_grid is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and a Python version

### Related Data and Programs:

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;

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_MONTE_CARLO a C code which uses the Monte Carlo method to estimate the value of integrals over the interior of an ellipsoid in M dimensions.

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_GRID, a C code which generates a regular grid of points over the interior of an arbitrary 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.

### Source Code:

Last revised on 18 June 2019.