random_data_test

random_data_test, a C++ code which calls random_data(), which uses a random number generator (RNG) to sample points for various probability distributions, spatial dimensions, and geometries, including the M-dimensional cube, ellipsoid, simplex and sphere.

Licensing:

The computer code and data files made available on this web page are distributed under the MIT license

Related Data and Programs:

random_data, a C++ code which uses a random number generator (RNG) to sample points corresponding to various probability density functions (PDF's), spatial dimensions, and geometries, including the M-dimensional cube, ellipsoid, simplex and sphere.

Source Code:

• random_data_test.cpp, the sample calling program.
• random_data_test.sh, runs all the tests.
• random_data_test.txt, output from the sample calling program.

The sample calling program generates sets of points:

• bad_in_tetrahedron.txt, points in the unit tetrahedron, not uniformly chosen.
• bad_in_triangle.txt, points in the unit triangle, not uniformly chosen.
• brownian.txt, Brownian motion.
• grid_in_cube01.txt, grid points in the unit hypercube, with CENTER = 1.
• halton_in_circle01_accept.txt, Halton points in the unit circle, acceptance/rejection.
• halton_in_circle01_map.txt, Halton points in the unit circle, direct mapping.
• halton_in_cube01.txt, Halton points in the unit hypercube.
• hammersley_in_cube01.txt, Hammersley points.
• normal.txt, normal points, with strong correlation between the two coordinates.
• normal_circular.txt, circular normal points.
• normal_simple.txt, normal points in which there is no correlation between the X and Y coordinates.
• polygon_vertices.txt, the vertices of a polygon to be filled by random points.
• uniform_in_annulus.txt, uniform points in an annulus, mapping.
• uniform_in_annulus_accept.txt, uniform points in an annulus, acceptance/rejection.
• uniform_in_annulus_sector.txt, uniform points in an annulus sector.
• uniform_in_cube01.txt, uniform points in the unit hypercube.
• uniform_in_circle01_map.txt, uniform points in the unit circle.
• uniform_in_ellipsoid_map.txt, uniform points in an ellipsoid.
• uniform_in_parallelogram_map.txt, uniform points in a parallelogram.
• uniform_in_polygon_map.txt, uniform points in a polygon (a star, in this case).
• uniform_in_sector_map.txt, uniform points in a circular sector.
• uniform_in_simplex01_map.txt, uniform points in the unit simplex.
• uniform_in_sphere01_map.txt, uniform points in the unit sphere.
• uniform_in_triangle_map2.txt, uniform points in an arbitrary triangle, Turk method 1.
• uniform_in_triangle_map2.txt, uniform points in an arbitrary triangle, Turk method 2.
• uniform_in_triangle01_map.txt, uniform points in the unit triangle.
• uniform_on_cube01.txt, uniform points on the unit cube.
• uniform_on_ellipsoid_map.txt, uniform points on an ellipsoid.
• uniform_on_hemisphere01_phong.txt, uniform random points on a hemisphere, Phong distribution.
• uniform_on_simplex01_map.txt, uniform points on the unit simplex.
• uniform_on_sphere01_map.txt, uniform points on the unit sphere in 2D.
• uniform_on_sphere01_patch_tp.txt, uniform random points on an TP (theta,phi) "patch" of the unit sphere in 3D.
• uniform_on_sphere01_patch_xyz.txt, uniform random points on an XYZ "patch" of the unit sphere in 3D.
• uniform_on_sphere01_triangle_xyz.txt, uniform random points on a spherical triangle of the unit sphere in 3D using XYZ coordinates.
• uniform_walk.txt, points on a uniform random walk.

A file of commands is provided to simplify the use of PLOT_POINTS:

• plot_points_input.txt, commands to PLOT_POINTS.
• plot_points_output.txt, printed output from PLOT_POINTS in response to the commands.

PLOT_POINTS makes Encapsulated PostScript images of the points, in cases where the data is 2 dimensional. These EPS files are converted to PNG images for posting on this web page.

• brownian.png.
• grid_in_cube01.png
• halton_in_circle01_accept.png
• halton_in_circle01_map.png
• halton_in_cube01.png
• hammersley_in_cube01.png
• normal.png
• normal_circular.png
• normal_simple.png
• polygon_vertices.png,
• uniform_in_annulus.png,
• uniform_in_annulus_accept.png,
• uniform_in_annulus_sector.png,
• uniform_in_cube01.png,
• uniform_in_circle01_map.png,
• uniform_in_ellipsoid_map.png,
• uniform_in_parallelogram_map.png,
• uniform_in_polygon_map.png,
• uniform_in_sector_map.png,
• uniform_in_simplex01_map.png,
• uniform_in_sphere01_map.png,
• uniform_in_triangle_map1.png,
• uniform_in_triangle_map2.png,
• uniform_in_triangle01_map.png,
• uniform_on_ellipsoid_map.png,
• uniform_on_simplex01_map.png,
• uniform_on_sphere01_map.png,
• uniform_on_sphere01_patch_tp.png
• uniform_on_sphere01_patch_xyz.png
• uniform_walk.png,