Tue Jul  5 12:19:13 2022

triangles_test():
  Python version: 3.6.9
  triangles() does triangle computations.

triangle_test:
  Measurements for equilateral triangle
  Vertices:
[[ 0.5        0.       ]
 [ 0.         0.8660254]
 [-0.5        0.       ]]
  Graphics saved as "equilateral.png"
  Sides:
[1. 1. 1.]
  Perimeter
3.0
  Centroid
[0.         0.28867513]
  Area (Euclid)
0.43301270189221924
  Area (Hero)
0.43301270189221924
  Area (Cross product)
0.4330127018922193
  Angles in radians:
[1.04719755 1.04719755 1.04719755]
  Angles in degrees:
[60. 60. 60.]

triangle_test:
  Measurements for obtuse triangle
  Vertices:
[[ 0.  0.]
 [ 1.  0.]
 [-1.  1.]]
  Graphics saved as "obtuse.png"
  Sides:
[1.         2.23606798 1.41421356]
  Perimeter
4.650281539872885
  Centroid
[0.         0.33333333]
  Area (Euclid)
0.5
  Area (Hero)
0.49999999999999994
  Area (Cross product)
0.5
  Angles in radians:
[2.35619449 0.46364761 0.32175055]
  Angles in degrees:
[135.          26.56505118  18.43494882]

triangle_test:
  Measurements for reference triangle
  Vertices:
[[0. 0.]
 [1. 0.]
 [0. 1.]]
  Graphics saved as "reference.png"
  Sides:
[1.         1.41421356 1.        ]
  Perimeter
3.414213562373095
  Centroid
[0.33333333 0.33333333]
  Area (Euclid)
0.5
  Area (Hero)
0.4999999999999999
  Area (Cross product)
0.5
  Angles in radians:
[1.57079633 0.78539816 0.78539816]
  Angles in degrees:
[90. 45. 45.]
  Graphics saved as "left_right.png'
  Graphics saved as "triangle_contains.png'

triangle_integral_centroid_test():
  triangle_integral_centroid() uses the centroid rule
  to estimate an integral f(x,y) over a triangle T.

  estimate   error

-6.333333333333333 0.16666666666666607

  estimate   error

-346.66666666666674 35.00000000000006

triangle_integral_estimate_test():
  triangle_integral_estimate() uses a Monte-Carlo approach
  to estimate an integral f(x,y) over a triangle T.

  n    estimate   error

10 -314.508922091518 2.8422554248513165
100 -322.3936961924661 10.727029525799423
1000 -305.16089262724 6.505774039426683
10000 -311.7914956811552 0.1248290144885118
10000 -311.8407468023878 0.17408013572111258

triangle_integral_strang_test():
  triangle_integral_strang() uses a Strang rule
  to estimate an integral f(x,y) over a triangle T.

  estimate   error

-6.166666666666665 1.7763568394002505e-15

  estimate   error

-311.6666666666667 0.0

triangle_integral_vertex_test():
  triangle_integral_vertex() uses the vertex rule
  to estimate an integral f(x,y) over a triangle T.

  estimate   error

-5.666666666666667 0.5

  estimate   error

-206.66666666666666 105.00000000000003

triangle_point_random_test():
  triangle_point_random() selects random points from a triangle.
  Graphics saved as "triangle_point_random_test.png"

triangles_test():
  Normal end of execution.
Tue Jul  5 12:19:14 2022