30-Jul-2023 09:20:02

asa_2011_geometry_test():
  MATLAB/Octave version 5.2.0
  Test asa_2011_geometry().

line_integral_test():
  line_integral() estimates integral ( p1 <= x <= p2 ) f(x) dx

        n     Integral estimate

        1         20.7606
        2          16.734
        4         14.1335
        8         16.0836
       16         17.5486
       32         17.6083
       64         17.9216
      128         19.2644
      256         18.8957
      512          17.995
     1024         18.9947
     2048         18.7551
     4096         18.5417
     8192         18.6937
    16384         18.9116
    32768         18.7589
    65536         18.7996
   131072         18.7634
   262144         18.7631
   524288         18.7713
  1048576         18.7391

line_parameter_s_test():
  line_parameter_s() evaluates the s parameter
  for a point p with respect to a line [p1,p2].

  P1 = (  4.000000,  0.000000)
  P2 = (  3.000000,  4.000000)

  P                   S
  (  1.000000,  4.000000)    1.117647
  (  2.000000,  1.000000)    0.352941
  (  2.000000,  3.000000)    0.823529
  (  3.000000,  2.000000)    0.529412
  (  3.000000,  4.000000)    1.000000
  (  3.000000,  5.000000)    1.235294
  (  4.000000,  1.000000)    0.235294
  (  4.000000,  5.000000)    1.176471

line_parameter_t_test():
  line_parameter_t() evaluates the t parameter
  for a point p with respect to a line [p1,p2].

  P1 = (  4.000000,  0.000000)
  P2 = (  3.000000,  4.000000)

  P                   T        T_relative
  (  1.000000,  4.000000)   -1.940285   -0.470588
  (  2.000000,  1.000000)   -1.697749   -0.411765
  (  2.000000,  3.000000)   -1.212678   -0.294118
  (  3.000000,  2.000000)   -0.485071   -0.117647
  (  3.000000,  4.000000)    0.000000    0.000000
  (  3.000000,  5.000000)    0.242536    0.058824
  (  4.000000,  1.000000)    0.242536    0.058824
  (  4.000000,  5.000000)    1.212678    0.294118

line_side_test():
  line_side() reports whether point p is to the left
  of a line [p1,p2].

  P1 = (  4.000000,  0.000000)
  P2 = (  3.000000,  4.000000)

  P                   S
  (  1.000000,  4.000000)  true
  (  2.000000,  1.000000)  true
  (  2.000000,  3.000000)  true
  (  3.000000,  2.000000)  true
  (  3.000000,  4.000000)  true
  (  3.000000,  5.000000)  false
  (  4.000000,  1.000000)  false
  (  4.000000,  5.000000)  false

  Triangle vertices:
   4   2
   1   5
  -2   2

triangle_cartesian_to_barycentric_test()
  triangle_cartesian_to_barycentric() converts XY
  Cartesian coordinates to barycentric XSI coordinates;

      Px          Py     =>   XSI(A)      XSI(B)      XSI(C) =>   Px          Py

    3.000000    0.000000    1.166667   -0.666667    0.500000    3.000000    0.000000
    0.250000    0.250000    0.666667   -0.583333    0.916667    0.250000    0.250000
    0.750000    0.250000    0.750000   -0.583333    0.833333    0.750000    0.250000
    1.000000    1.000000    0.666667   -0.333333    0.666667    1.000000    1.000000
   11.000000    0.500000    2.416667   -0.500000   -0.916667   11.000000    0.500000
    0.000000    1.000000    0.500000   -0.333333    0.833333   -0.000000    1.000000
    0.500000  -10.000000    2.416667   -4.000000    2.583333    0.500000  -10.000000
    0.600000    0.600000    0.666667   -0.466667    0.800000    0.600000    0.600000

triangle_contains_test():
  triangle_contains() reports whether a point P
  is contained in a triangle T.

  Triangle vertices:
   4   0
   3   4
   0   1

      P      contained?

    1.000000    4.000000  false
    2.000000    1.000000  true
    2.000000    3.000000  true
    3.000000    2.000000  true
    3.000000    4.000000  true
    3.000000    5.000000  false
    4.000000    1.000000  false
    4.000000    5.000000  false

triangle_distance_test():
  triangle_distance() reports the distance from
  a point P to a triangle T.

  Triangle vertices:
   0   2
   4   1
   3   5

       P              Distance

   -2.000000    1.000000    2.236068
    0.000000    2.000000    0.000000
    2.000000    3.000000    0.000000
    4.000000    4.000000    0.727607
    6.000000    5.000000    2.910428

asa_2011_geometry_test()
  Normal end of execution.

30-Jul-2023 09:20:02