13-Dec-2022 20:37:18

triangle_distance_test():
  MATLAB/Octave version 4.2.2
  Test triangle_distance().

triangle_distance_histogram_test
  MATLAB/Octave version 4.2.2
  Test triangle_distance_histogram.

  Number of sample points N = 10000

  Equilateral triangle vertices:

  ( 0, 0 )
  ( 1, 0 )
  ( 0.5, 0.866025 )

  Unit right triangle vertices:

  ( 0, 0 )
  ( 1, 0 )
  ( 0, 1 )

  345 right triangle Vertices:

  ( 0, 0 )
  ( 3, 0 )
  ( 0, 4 )

  scalene triangle Vertices:

  ( 0.75, 0.9 )
  ( 0, 0.2 )
  ( 0.95, 0.65 )

triangle_distance_stats_test
  MATLAB/Octave version 4.2.2
  Test triangle_distance_stats.

  Number of sample points N = 10000

  Equilateral triangle vertices:

  ( 0, 0 )
  ( 1, 0 )
  ( 0.5, 0.866025 )

  Estimated mu  = 0.365664
  Exact mu      = 0.364792
  Estimated var = 0.033622

  Unit right triangle vertices:

  ( 0, 0 )
  ( 1, 0 )
  ( 0, 1 )

  Estimated mu  = 0.413021
  Exact mu      = 0.414293
  Estimated var = 0.050355

  345 right triangle Vertices:

  ( 0, 0 )
  ( 3, 0 )
  ( 0, 4 )

  Estimated mu  = 1.47171
  Estimated var = 0.650274

  scalene triangle Vertices:

  ( 0.75, 0.9 )
  ( 0, 0.2 )
  ( 0.95, 0.65 )

  Estimated mu  = 0.298515
  Estimated var = 0.0372951

triangle_equilateral_distance_pdf_test():
  MATLAB/Octave version 4.2.2
  Test triangle_equilateral_distance_pdf,
  probability density function for the distance D between
  between a pair of random points in an equilateral triangle.

  Triangle vertices:

  ( 0, 0 )
  ( 1, 0 )
  ( 0.5, 0.866025 )
  Graphics saved as "triangle_equilateral_distance_pdf.png"
  Graphics saved in "triangle_equilateral_distance_compare.png"

triangle_right_distance_pdf_test():
  MATLAB/Octave version 4.2.2
  Test triangle_right_distance_pdf,
  probability density function for the distance D between
  a pair of random points in a right triangle.

  Triangle vertices:

  ( 0, 0 )
  ( 5, 0 )
  ( 0, 12 )
  Graphics saved as "triangle_right_distance_pdf.png"
  Graphics saved in "triangle_right_distance_compare.png"

triangle_right_error_test
  MATLAB/Octave version 4.2.2
  Test triangle_right_error,
  which reports right triangle error a^2+b^2-c^2

  Triangle #1:

  ( 0, 0 )
  ( 3, 0 )
  ( 0, 4 )
  Right triangle error is 0

  Triangle #2:

  ( 4, 0 )
  ( 0, 0 )
  ( 0, 3 )
  Right triangle error is 0

  Triangle #3:

  ( 0.1, 0 )
  ( 3, 0.2 )
  ( 0.3, 4 )
  Right triangle error is 2.76

  Triangle #4:

  ( 0.556667, 0.130157 )
  ( 0.536587, 0.97147 )
  ( 0.630033, 0.608731 )
  Right triangle error is -0.333483

triangle_sample_test
  MATLAB/Octave version 4.2.2
  Test triangle_sample, which uniformly samples a triangle.

  Number of points N = 10000

  Vertices:
  V1 =     0.750000      0.900000
  V2 =     0.000000      0.200000
  V3 =     0.950000      0.650000
  Graphics saved as "triangle_sample_test.png"

triangle_sides_test
  MATLAB/Octave version 4.2.2
  Test triangle_sides,
  which reports the lengths of the sides of a triangle.

  Triangle #1:

  ( 0, 0 )
  ( 3, 0 )
  ( 0, 4 )
  a = 3, b = 4, c = 5

  Triangle #2:

  ( 4, 0 )
  ( 0, 0 )
  ( 0, 3 )
  a = 3, b = 4, c = 5

  Triangle #3:

  ( 0.1, 0 )
  ( 3, 0.2 )
  ( 0.3, 4 )
  a = 2.90689, b = 4.005, c = 4.66154

  Triangle #4:

  ( 0.0633988, 0.0194592 )
  ( 0.64324, 0.253408 )
  ( 0.941798, 0.112169 )
  a = 0.33028, b = 0.625258, c = 0.883278

triangle_distance_test():
  Normal end of execution.

13-Dec-2022 20:39:16