07-Jan-2022 21:46:04

hypersphere_angle_test():
  MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 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 = 0.638825
    Estimated std  = 0.307193
  THETA = arc cosine of absolute value of cosine between two random points:
    Estimated mean = 0.781857 (radians) = 44.7971 (degrees)
    Estimated std  = 0.453753 (radians) = 25.9982 (degrees)

  Using M = 3 spatial dimension
  Using N = 10000 sample points,
  COST = absolute value of cosine between two random points:
    Estimated mean = 0.500101
    Estimated std  = 0.28698
  THETA = arc cosine of absolute value of cosine between two random points:
    Estimated mean = 1.00034 (radians) = 57.3153 (degrees)
    Estimated std  = 0.374323 (radians) = 21.4471 (degrees)

  Using M = 5 spatial dimension
  Using N = 10000 sample points,
  COST = absolute value of cosine between two random points:
    Estimated mean = 0.376177
    Estimated std  = 0.24342
  THETA = arc cosine of absolute value of cosine between two random points:
    Estimated mean = 1.16555 (radians) = 66.7808 (degrees)
    Estimated std  = 0.285315 (radians) = 16.3473 (degrees)

  Using M = 10 spatial dimension
  Using N = 10000 sample points,
  COST = absolute value of cosine between two random points:
    Estimated mean = 0.258307
    Estimated std  = 0.18211
  THETA = arc cosine of absolute value of cosine between two random points:
    Estimated mean = 1.30316 (radians) = 74.6656 (degrees)
    Estimated std  = 0.197269 (radians) = 11.3027 (degrees)

  Using M = 20 spatial dimension
  Using N = 10000 sample points,
  COST = absolute value of cosine between two random points:
    Estimated mean = 0.180992
    Estimated std  = 0.131826
  THETA = arc cosine of absolute value of cosine between two random points:
    Estimated mean = 1.38666 (radians) = 79.4501 (degrees)
    Estimated std  = 0.13716 (radians) = 7.85871 (degrees)

  Using M = 40 spatial dimension
  Using N = 10000 sample points,
  COST = absolute value of cosine between two random points:
    Estimated mean = 0.126544
    Estimated std  = 0.0945656
  THETA = arc cosine of absolute value of cosine between two random points:
    Estimated mean = 1.44317 (radians) = 82.6875 (degrees)
    Estimated std  = 0.0964895 (radians) = 5.52844 (degrees)

  Using M = 80 spatial dimension
  Using N = 10000 sample points,
  COST = absolute value of cosine between two random points:
    Estimated mean = 0.0907086
    Estimated std  = 0.0680745
  THETA = arc cosine of absolute value of cosine between two random points:
    Estimated mean = 1.47969 (radians) = 84.7802 (degrees)
    Estimated std  = 0.0687846 (radians) = 3.94107 (degrees)

  Using M = 160 spatial dimension
  Using N = 10000 sample points,
  COST = absolute value of cosine between two random points:
    Estimated mean = 0.0634964
    Estimated std  = 0.0476571
  THETA = arc cosine of absolute value of cosine between two random points:
    Estimated mean = 1.50717 (radians) = 86.3543 (degrees)
    Estimated std  = 0.0478951 (radians) = 2.74419 (degrees)

  Graphics saved in "hypersphere_angle_test.png"

hypersphere_angle_test():
  Normal end of execution.

07-Jan-2022 21:46:11