Wed Oct  8 08:56:31 2025

square_surface_distance_test():
  python version: 3.10.12
  numpy version:  1.26.4
  Test square_surface_distance()

  The mean distance between two random points on the surface
  of a square can be computed as:
    mu = ( 3 mu_diff + mu_same ) / 4
  where:
    mu_diff = mean distance, points are on different sides
    mu_same = mean distance, points are on same side.

  Using N =  10000  sample points
  Exact mean distance (diff) =  0.8690090552745344
  Exact mean distance (same) =  0.3333333333333333
  Exact mean distance        =  0.7350901247892342
  Estimated mean distance    =  0.7370156435943804
  Estimated variance         =  0.12452227396656344
  Graphics saved as "square_surface_distance_histogram.png"

square_surface_distance_test():
  Normal end of execution.
Wed Oct  8 08:56:32 2025