circle_positive_distance

circle_positive_distance, a Python code which estimates the mean and variance of the distance between a random pair of points on the circumference of the unit positive circle in 2D.

Licensing:

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

Languages:

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

Related Data and Programs:

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:

• Panagiotis Siridopoulos,
  The N-Sphere Chord Length Distribution,
  ARXIV,
  https://arxiv.org/pdf/1411.5639.pdf

Source Code:

• circle_positive_distance.py, the source code.
• circle_positive_distance.sh, runs all the tests.
• circle_positive_distance.txt, the output file.

• circle_positive_distance_histogram.png, a histogram of the sample results.