30-Jul-2023 08:28:44

asa_2011_geometry_test():
  MATLAB/Octave version 9.14.0.2306882 (R2023a) Update 4
  Test asa_2011_geometry().

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

        n     Integral estimate

        1         30.8834
        2         17.9944
        4         17.6656
        8         25.0677
       16         23.0038
       32         17.7925
       64         18.5333
      128           17.36
      256         18.8533
      512         18.1924
     1024         19.1561
     2048         19.1789
     4096         18.6498
     8192         18.6872
    16384         18.7503
    32768         18.6579
    65536          18.793
   131072         18.7696
   262144         18.7412
   524288         18.7688
  1048576         18.7554

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   -0.333333    0.500000    3.333333    1.666667
    0.250000    0.250000    0.666667   -0.291667    0.916667    0.541667    1.708333
    0.750000    0.250000    0.750000   -0.291667    0.833333    1.041667    1.708333
    1.000000    1.000000    0.666667   -0.166667    0.666667    1.166667    1.833333
   11.000000    0.500000    2.416667   -0.250000   -0.916667   11.250000    1.750000
    0.000000    1.000000    0.500000   -0.166667    0.833333    0.166667    1.833333
    0.500000  -10.000000    2.416667   -2.000000    2.583333    2.500000    0.000000
    0.600000    0.600000    0.666667   -0.233333    0.800000    0.833333    1.766667

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 08:28:44