def test_area(self):
A = Point3D(0, 0, 2)
B = Point3D(0, 1, 2)
C = Point3D(1, 0, 2)
triangle = Triangle3D(A, B, C)
self.assertEqual(triangle.area, 0.5)
def test_triangle_and_segment_are_parallel(self):
A = Point3D(0, 0, 0)
B = Point3D(1, 0, 0)
C = Point3D(0, 1, 0)
triangle = Triangle3D(A, B, C)
S = Point3D(0., 0.5, 1)
T = Point3D(0.5, 0., 1)
segment = Segment3D(S, T)
with self.assertRaisesRegex(ValueError, 'There is no intersection'):
intersec3d_triangle_segment(triangle, segment)
def test_no_intersection(self):
A = Point3D(0, 0, 0)
B = Point3D(1, 0, 0)
C = Point3D(0, 1, 0)
triangle = Triangle3D(A, B, C)
S = Point3D(0.25, 0.25, -1)
T = Point3D(0.25, 0.25, -0.5)
segment = Segment3D(S, T)
with self.assertRaisesRegex(ValueError, 'There is no intersection'):
intersec3d_triangle_segment(triangle, segment)
def test_normal(self):
A = Point3D(3, 0, 0)
B = Point3D(0, 6, 0)
C = Point3D(0, 0, 9)
triangle = Triangle3D(A, B, C)
E = triangle.center
self.assertAlmostEqual(E.x, 1.)
self.assertAlmostEqual(E.y, 2.)
self.assertAlmostEqual(E.z, 3.)
def test_symetric_point(self):
A = Point3D(0, 0, 0)
B = Point3D(0, 1, 0)
C = Point3D(1, 0, 0)
triangle = Triangle3D(A, B, C)
P = Point3D(1, 2, -3)
S = triangle.symetric_point(P)
self.assertEqual(S.x, 1)
self.assertEqual(S.y, 2)
self.assertEqual(S.z, 3)
def test_triangle_and_segment_are_in_same_plane(self):
A = Point3D(0, 0, 0)
B = Point3D(1, 0, 0)
C = Point3D(0, 1, 0)
triangle = Triangle3D(A, B, C)
S = Point3D(0., 0.5, 0)
T = Point3D(0.5, 0., 0)
segment = Segment3D(S, T)
msg = 'Triangle and segment are in the same plane'
with self.assertRaisesRegex(ValueError, msg):
intersec3d_triangle_segment(triangle, segment)
def test_triangle_is_a_point(self):
A = Point3D(0, 0, 0)
B = Point3D(0, 0, 0)
C = Point3D(0, 0, 0)
triangle = Triangle3D(A, B, C)
S = Point3D(0.25, 0.25, -1)
T = Point3D(0.25, 0.25, 1)
segment = Segment3D(S, T)
msg = 'Triangle is degenerated \(a segment or point\)'
with self.assertRaisesRegex(ValueError, msg):
intersec3d_triangle_segment(triangle, segment)
def test_create_triangle(self):
A = Point3D(0, 0, 0)
B = Point3D(0, 1, 0)
C = Point3D(1, 0, 0)
triangle = Triangle3D(A, B, C)
self.assertEqual(triangle.B.y, 1)
# Change coordiante.
triangle.B.y = 3
self.assertEqual(triangle.B.y, 3)
# Change point.
triangle.B = Point3D(-1, -2, -3)
self.assertEqual(triangle.B.y, -2)
def test_intersection_in_triangle(self):
"""
C T y ^
| - / | z
| I - |/
A--/--------B +-----> x
S
"""
A = Point3D(0, 0, 0)
B = Point3D(1, 0, 0)
C = Point3D(0, 1, 0)
triangle = Triangle3D(A, B, C)
S = Point3D(0.25, 0.25, -1)
T = Point3D(0.25, 0.25, 1)
segment = Segment3D(S, T)
I = intersec3d_triangle_segment(triangle, segment)
self.assertEqual(I.x, 0.25)
self.assertEqual(I.y, 0.25)
self.assertEqual(I.z, 0.)
def setUp(self):
self.A = Point3D(1, 1, 2)
self.B = Point3D(6, 0, 1)
self.C = Point3D(7, 3, 3)
self.T = Triangle3D(self.A, self.B, self.C)