random_data_test

random_data_test, a MATLAB program which calls random_data() 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 GNU LGPL license.

Related Data and Programs:

random_data, a MATLAB library 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.m, calls all the tests.
random_data_test.sh, runs all the tests.
random_data_test.txt, the output file.

brownian_test.m
random_data_test04.m, tests GRID_IN_CUBE01.
random_data_test05.m, tests HALTON_IN_CIRCLE01_ACCEPT.
random_data_test06.m, tests HALTON_IN_CIRCLE01_MAP.
random_data_test07.m, tests HALTON_IN_CUBE01.
random_data_test08.m, tests HAMMERSLEY_IN_CUBE01.
random_data_test09.m, tests NORMAL.
random_data_test10.m, tests NORMAL_CIRCULAR.
random_data_test11.m, tests NORMAL_SIMPLE.
random_data_test115.m, tests UNIFORM_IN_ANNULUS.
random_data_test12.m, tests UNIFORM_IN_ANNULUS_ACCEPT.
random_data_test125.m, tests UNIFORM_IN_ANNULUS_SECTOR.
random_data_test13.m, tests UNIFORM_IN_CIRCLE01_MAP.
random_data_test14.m, tests UNIFORM_IN_CUBE01.
random_data_test15.m, tests UNIFORM_IN_ELLIPSOID_MAP.
random_data_test16.m, tests UNIFORM_IN_PARALLELOGRAM_MAP.
random_data_test17.m, tests UNIFORM_IN_POLYGON_MAP.
random_data_test18.m, tests UNIFORM_IN_SECTOR_MAP.
random_data_test19.m, tests UNIFORM_IN_SIMPLEX01_MAP.
random_data_test20.m, tests UNIFORM_IN_SPHERE01_MAP.
random_data_test22.m, tests UNIFORM_IN_TRIANGLE_MAP2.
random_data_test23.m, tests UNIFORM_IN_TRIANGLE01_MAP.
random_data_test24.m, tests UNIFORM_ON_ELLIPSOID_MAP.
random_data_test245.m, tests UNIFORM_ON_HEMISPHERE01_PHONG.
random_data_test25.m, tests UNIFORM_ON_SIMPLEX01_MAP.
random_data_test26.m, tests UNIFORM_ON_SPHERE01_MAP.
random_data_test264.m, tests UNIFORM_ON_SPHERE01_PATCH_TP.
random_data_test265.m, tests UNIFORM_ON_SPHERE01_PATCH_XYZ.
random_data_test267.m, tests UNIFORM_ON_SPHERE01_TRIANGLE_XYZ.
random_data_test27.m, tests UNIFORM_WALK.

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 by acceptance/rejection.
halton_in_circle01_map.txt, Halton points in the unit circle by direct mapping.
halton_in_cube01.txt, Halton points in the unit hypercube.
hammersley_in_cube01.txt, Hammersley points in the unit hypercube.
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 random points in an annulus, mappint.
uniform_in_annulus_accept.txt, uniform random points in an annulus, acceptance/rejection.
uniform_in_annulus_sector.txt, uniform random points in an annulus sector, mapping.
uniform_in_cube.txt, uniform random points in the unit hypercube.
uniform_in_circle01_map.txt, uniform random points in the unit circle.
uniform_in_ellipsoid.txt, uniform random points in an ellipsoid.
uniform_in_parallelogram_map.txt, uniform random points in a parallelogram.
uniform_in_polygon_map.txt, uniform random points in a polygon (a star, in this case).
uniform_in_sector_map.txt, uniform random points in a circular sector.
uniform_in_simplex01_map.txt, uniform random points in the unit simplex.
uniform_in_sphere01_map.txt, uniform random points in the unit sphere.
uniform_in_tetrahedron.txt, uniform random points in an arbitrary tetrahedron.
uniform_in_triangle_map1.txt, uniform random points in an arbitrary triangle, Turk method 1.
uniform_in_triangle01_map.png
uniform_in_triangle_map2.txt, uniform random points in an arbitrary triangle, Turk method 2.
uniform_in_triangle01_map.txt, uniform random points in the unit triangle.
uniform_on_cube01.txt, uniform random points on a unit cube.
uniform_on_ellipsoid_map.txt, uniform random points on an ellipsoid.
uniform_on_hemisphere01_phong.txt, uniform random points on the unit hemisphere, Phong distribution.
uniform_on_simplex01_map.txt, uniform random points on the unit simplex.
uniform_on_sphere01_map.txt, uniform random points on the unit sphere in 2D.
uniform_on_sphere01_patch_tp.txt, uniform random points on a unit sphere TP (THETA,PHI) patch in 3D.
uniform_on_sphere01_patch_xyz.txt, uniform random points on a unit sphere XYZ patch 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.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. The CONVERT command was used to convert these to PNG files.

Last revised on 03 March 2019.