Mon Dec 26 09:34:17 2022

hypersphere_angle_distance_test():
  Python version: 3.6.9
  Test hypersphere_angle_distance().

  Using M = 2 spatial dimension
  Using N = 10000 sample points, 10000
  COST = absolute value of cosine between two random points:
    Estimated mean = 0.6378892558626091
    Estimated std  =  0.30758417330992066
  THETA = arc cosine of absolute value of cosine between two random points:
    Estimated mean =  0.7832572385065569  (radians), or  44.87733403949741  (degrees)
    Estimated std  =  0.45383385717082037  (radians), or  26.00276461603102  (degrees)

  Using M = 3 spatial dimension
  Using N = 10000 sample points, 10000
  COST = absolute value of cosine between two random points:
    Estimated mean = 0.4907277766303069
    Estimated std  =  0.2887462286537555
  THETA = arc cosine of absolute value of cosine between two random points:
    Estimated mean =  1.0115267196214237  (radians), or  57.95621189902053  (degrees)
    Estimated std  =  0.37562652311036043  (radians), or  21.521814447396935  (degrees)

  Using M = 5 spatial dimension
  Using N = 10000 sample points, 10000
  COST = absolute value of cosine between two random points:
    Estimated mean = 0.3749456670975517
    Estimated std  =  0.24317319814818203
  THETA = arc cosine of absolute value of cosine between two random points:
    Estimated mean =  1.166842076362345  (radians), or  66.8551263338441  (degrees)
    Estimated std  =  0.28539436755149794  (radians), or  16.351892757506203  (degrees)

  Using M = 10 spatial dimension
  Using N = 10000 sample points, 10000
  COST = absolute value of cosine between two random points:
    Estimated mean = 0.2593672954190074
    Estimated std  =  0.18068555719283474
  THETA = arc cosine of absolute value of cosine between two random points:
    Estimated mean =  1.3022088993309633  (radians), or  74.61107397604049  (degrees)
    Estimated std  =  0.19544227598693323  (radians), or  11.19801755248231  (degrees)

  Using M = 20 spatial dimension
  Using N = 10000 sample points, 10000
  COST = absolute value of cosine between two random points:
    Estimated mean = 0.18087804877507696
    Estimated std  =  0.13113358196392935
  THETA = arc cosine of absolute value of cosine between two random points:
    Estimated mean =  1.3868111325572037  (radians), or  79.45842487728552  (degrees)
    Estimated std  =  0.1363921833883178  (radians), or  7.8146964667249454  (degrees)

  Using M = 40 spatial dimension
  Using N = 10000 sample points, 10000
  COST = absolute value of cosine between two random points:
    Estimated mean = 0.12799536119039498
    Estimated std  =  0.09503970692013725
  THETA = arc cosine of absolute value of cosine between two random points:
    Estimated mean =  1.4416945540489727  (radians), or  82.6030132940015  (degrees)
    Estimated std  =  0.09697814040890934  (radians), or  5.556438150457609  (degrees)

  Using M = 80 spatial dimension
  Using N = 10000 sample points, 10000
  COST = absolute value of cosine between two random points:
    Estimated mean = 0.08970686246635867
    Estimated std  =  0.06750749966516267
  THETA = arc cosine of absolute value of cosine between two random points:
    Estimated mean =  1.4807066433360045  (radians), or  84.83824136013594  (degrees)
    Estimated std  =  0.0681905846998314  (radians), or  3.907032705829705  (degrees)

  Using M = 160 spatial dimension
  Using N = 10000 sample points, 10000
  COST = absolute value of cosine between two random points:
    Estimated mean = 0.06269349392017051
    Estimated std  =  0.04719667768873926
  THETA = arc cosine of absolute value of cosine between two random points:
    Estimated mean =  1.5079731846106912  (radians), or  86.40049909709475  (degrees)
    Estimated std  =  0.047429535082601365  (radians), or  2.717512184500731  (degrees)
  Graphics saved as "hypersphere_angle_distance.png"

hypersphere_angle_distance_test():
  Normal end of execution.
Mon Dec 26 09:36:07 2022