26-Dec-2022 08:01:05

hypersphere_angle_test():
  MATLAB/Octave version 4.2.2
  Test hypersphere_angle().

  Using M = 2 spatial dimension
  Using N = 10000 sample points,
  COST = absolute value of cosine between two random points:
    Estimated mean = 0.637804
    Estimated std  = 0.306746
  THETA = arc cosine of absolute value of cosine between two random points:
    Estimated mean = 0.783894 (radians) = 44.9138 (degrees)
    Estimated std  = 0.452699 (radians) = 25.9377 (degrees)

  Using M = 3 spatial dimension
  Using N = 10000 sample points,
  COST = absolute value of cosine between two random points:
    Estimated mean = 0.502926
    Estimated std  = 0.288223
  THETA = arc cosine of absolute value of cosine between two random points:
    Estimated mean = 0.996306 (radians) = 57.0842 (degrees)
    Estimated std  = 0.37642 (radians) = 21.5673 (degrees)

  Using M = 5 spatial dimension
  Using N = 10000 sample points,
  COST = absolute value of cosine between two random points:
    Estimated mean = 0.37396
    Estimated std  = 0.245794
  THETA = arc cosine of absolute value of cosine between two random points:
    Estimated mean = 1.16734 (radians) = 66.8839 (degrees)
    Estimated std  = 0.289063 (radians) = 16.5621 (degrees)

  Using M = 10 spatial dimension
  Using N = 10000 sample points,
  COST = absolute value of cosine between two random points:
    Estimated mean = 0.258983
    Estimated std  = 0.183324
  THETA = arc cosine of absolute value of cosine between two random points:
    Estimated mean = 1.30239 (radians) = 74.6213 (degrees)
    Estimated std  = 0.198548 (radians) = 11.376 (degrees)

  Using M = 20 spatial dimension
  Using N = 10000 sample points,
  COST = absolute value of cosine between two random points:
    Estimated mean = 0.179859
    Estimated std  = 0.130066
  THETA = arc cosine of absolute value of cosine between two random points:
    Estimated mean = 1.3879 (radians) = 79.5209 (degrees)
    Estimated std  = 0.135189 (radians) = 7.74575 (degrees)

  Using M = 40 spatial dimension
  Using N = 10000 sample points,
  COST = absolute value of cosine between two random points:
    Estimated mean = 0.12751
    Estimated std  = 0.0961017
  THETA = arc cosine of absolute value of cosine between two random points:
    Estimated mean = 1.44216 (radians) = 82.6298 (degrees)
    Estimated std  = 0.0980879 (radians) = 5.62002 (degrees)

  Using M = 80 spatial dimension
  Using N = 10000 sample points,
  COST = absolute value of cosine between two random points:
    Estimated mean = 0.0902323
    Estimated std  = 0.067714
  THETA = arc cosine of absolute value of cosine between two random points:
    Estimated mean = 1.48018 (radians) = 84.8079 (degrees)
    Estimated std  = 0.0684077 (radians) = 3.91947 (degrees)

  Using M = 160 spatial dimension
  Using N = 10000 sample points,
  COST = absolute value of cosine between two random points:
    Estimated mean = 0.0627094
    Estimated std  = 0.0468001
  THETA = arc cosine of absolute value of cosine between two random points:
    Estimated mean = 1.50796 (radians) = 86.3997 (degrees)
    Estimated std  = 0.0470316 (radians) = 2.69471 (degrees)

  Graphics saved in "hypersphere_angle_test.png"

hypersphere_angle_test():
  Normal end of execution.

26-Dec-2022 08:02:06