15-May-2025 07:55:50

hypersphere_angle_test():
  MATLAB/Octave version 6.4.0
  Test hypersphere_angle().

  Using M = 2 spatial dimension
  Using N = 10000 sample points,
  COST = absolute value of cosine between two random points:
    Estimated mean = 0.635018
    Estimated std  = 0.309769
  THETA = arc cosine of absolute value of cosine between two random points:
    Estimated mean = 0.786315 (radians) = 45.0525 (degrees)
    Estimated std  = 0.456592 (radians) = 26.1608 (degrees)

  Using M = 3 spatial dimension
  Using N = 10000 sample points,
  COST = absolute value of cosine between two random points:
    Estimated mean = 0.503659
    Estimated std  = 0.288729
  THETA = arc cosine of absolute value of cosine between two random points:
    Estimated mean = 0.995428 (radians) = 57.0338 (degrees)
    Estimated std  = 0.376557 (radians) = 21.5751 (degrees)

  Using M = 5 spatial dimension
  Using N = 10000 sample points,
  COST = absolute value of cosine between two random points:
    Estimated mean = 0.377077
    Estimated std  = 0.243011
  THETA = arc cosine of absolute value of cosine between two random points:
    Estimated mean = 1.16454 (radians) = 66.7232 (degrees)
    Estimated std  = 0.285135 (radians) = 16.337 (degrees)

  Using M = 10 spatial dimension
  Using N = 10000 sample points,
  COST = absolute value of cosine between two random points:
    Estimated mean = 0.258621
    Estimated std  = 0.18232
  THETA = arc cosine of absolute value of cosine between two random points:
    Estimated mean = 1.30279 (radians) = 74.6443 (degrees)
    Estimated std  = 0.197695 (radians) = 11.3271 (degrees)

  Using M = 20 spatial dimension
  Using N = 10000 sample points,
  COST = absolute value of cosine between two random points:
    Estimated mean = 0.181736
    Estimated std  = 0.130488
  THETA = arc cosine of absolute value of cosine between two random points:
    Estimated mean = 1.38596 (radians) = 79.4098 (degrees)
    Estimated std  = 0.135685 (radians) = 7.77415 (degrees)

  Using M = 40 spatial dimension
  Using N = 10000 sample points,
  COST = absolute value of cosine between two random points:
    Estimated mean = 0.127505
    Estimated std  = 0.0947737
  THETA = arc cosine of absolute value of cosine between two random points:
    Estimated mean = 1.4422 (radians) = 82.6317 (degrees)
    Estimated std  = 0.0966926 (radians) = 5.54008 (degrees)

  Using M = 80 spatial dimension
  Using N = 10000 sample points,
  COST = absolute value of cosine between two random points:
    Estimated mean = 0.0903415
    Estimated std  = 0.0674089
  THETA = arc cosine of absolute value of cosine between two random points:
    Estimated mean = 1.48007 (radians) = 84.8017 (degrees)
    Estimated std  = 0.0680919 (radians) = 3.90138 (degrees)

  Using M = 160 spatial dimension
  Using N = 10000 sample points,
  COST = absolute value of cosine between two random points:
    Estimated mean = 0.0632946
    Estimated std  = 0.0473698
  THETA = arc cosine of absolute value of cosine between two random points:
    Estimated mean = 1.50737 (radians) = 86.3659 (degrees)
    Estimated std  = 0.0476008 (radians) = 2.72733 (degrees)

  Graphics saved in "hypersphere_angle_test.png"

hypersphere_angle_test():
  Normal end of execution.

15-May-2025 07:56:25