rectangle_distance

rectangle_distance, a MATLAB code which estimates the distribution and expected value of the distance between two points picked uniformly at random within a rectangle.

The rectangle has sides a and b, with a less than or equal to b.

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

rectangle_distance is available in a MATLAB version and an Octave version and a Python version.

Related Data and Programs:

rectangle_distance_test

matlab_distance, a MATLAB code which estimates the typical distance between a pair of points randomly selected from the surface or interior of a geometric object such as a circle, disk, sphere, cube.

Reference:

• Johan Philip,
  The probability distribution of the distance between two random points in a box,
  https://people.kth.se/~johanph/habc.pdf

Source Code:

• rectangle_distance_histogram.m, displays a histogram from N samples of pairwise distances.
• rectangle_distance_pdf.m, displays a plot of the exact PDF of the pairwise distances.
• rectangle_distance_stats.m, estimates the mean and variance of the pairwise distance, using sampling.
• rectangle_unit_sample.m, returns a random point in the rectangle.