ELLIPSOID_GRID
Grid Points Within an Ellipsoid

ELLIPSOID_GRID is a C++ library 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.

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Languages:

ELLIPSOID_GRID is available in a C version and a C++ version and a FORTRAN77 version and a FORTRAN90 version and a MATLAB version and a Python version

Related Data and Programs:

BALL_GRID, a C++ library which computes a grid of points over the interior of a ball in 3D.

CIRCLE_ARC_GRID, a C++ program which computes points equally spaced along a circular arc;

CUBE_GRID, a C++ library which computes a grid of points over the interior of a cube in 3D.

DISK_GRID, a C++ library which computes a grid of points over the interior of a disk in 2D.

ELLIPSE_GRID, a C++ library which computes a grid of points over the interior of an ellipse in 2D.

ELLIPSOID_MONTE_CARLO a C++ library 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++ library which computes a grid of points over the interior of a hypercube in M dimensions.

LINE_GRID, a C++ library which computes a grid of points over the interior of a line segment in 1D.

POLYGON_GRID, a C++ library which generates a grid of points over the interior of a polygon in 2D.

PYRAMID_GRID, a C++ library which computes a grid of points over the interior of the unit pyramid in 3D;

SIMPLEX_GRID, a C++ library which generates a regular grid of points over the interior of an arbitrary simplex in M dimensions.

SPHERE_FIBONACCI_GRID, a C++ library which uses a Fibonacci spiral to create a grid of points on the surface of the unit sphere in 3D.

SPHERE_GRID, a C++ 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.

SPHERE_LLQ_GRID, a C++ library 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++ library 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++ library which computes a grid of points over the interior of a square in 2D.

TETRAHEDRON_GRID, a C++ library which computes a grid of points over the interior of a tetrahedron in 3D.

TRIANGLE_GRID, a C++ library which computes a grid of points over the interior of a triangle in 2D.

WEDGE_GRID, a C++ library which computes a grid of points over the interior of the unit wedge in 3D.

Source Code:

• ellipsoid_grid.cpp, the source code.
• ellipsoid_grid.hpp, the include file.
• ellipsoid_grid.sh, BASH commands to compile the source code.

Examples and Tests:

• ellipsoid_grid_prb.cpp, a sample calling program.
• ellipsoid_grid_prb.sh, BASH commands to compile and run the sample program.
• ellipsoid_grid_prb_output.txt, the output file.
• ellipsoid_grid_test01.xyz, the list of grid points.
• ellipsoid_grid_test01.png, an image of the points.

List of Routines:

• ELLIPSOID_GRID generates the grid points inside an ellipsoid.
• ELLIPSOID_GRID_COUNT counts the grid points inside an ellipsoid.
• I4_CEILING rounds an R8 "up" (towards +oo) to the next I4.
• R83VEC_PRINT_PART prints "part" of an R83VEC.
• R8MAT_WRITE writes an R8MAT file.
• TIMESTAMP prints the current YMDHMS date as a time stamp.

You can go up one level to the C++ source codes.