rectangle_distance

rectangle_distance, a Python 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 computer code and data files made available on this web page are 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

python_distance, a Python 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.py, the source code.
• rectangle_distance.sh, runs all the tests.
• rectangle_distance.txt, the output file.

• rectangle_distance_histogram.png, a histogram of the sample results.
• rectangle_distance_pdf.png, a plot of the exact PDF.
• rectangle_distance_compare.png, a comparison of the histogram versus the PDF.