14-May-2025 08:17:14

asa_geometry_2011_test():
  MATLAB/Octave version 6.4.0
  Test asa_geometry_2011().

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

        n     Integral estimate

        1         31.3724
        2         27.7902
        4         16.5396
        8         11.6928
       16         19.6089
       32          19.081
       64         16.6826
      128         17.8413
      256         19.4448
      512          18.356
     1024         18.5153
     2048         19.3634
     4096          19.029
     8192          18.789
    16384         18.8737
    32768         18.7503
    65536         18.7969
   131072         18.7567
   262144         18.7363
   524288         18.7232
  1048576         18.7701

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_geometry_2011_test()
  Normal end of execution.

14-May-2025 08:17:14