def test_plane_init():
"""Test the initalization of Plane objects and basic properties."""
pt = Point3D(2, 0, 2)
vec = Vector3D(0, 2, 0)
plane = Plane(vec, pt)
str(plane) # test the string representation
assert plane.o == Point3D(2, 0, 2)
assert plane.n == Vector3D(0, 1, 0)
assert plane.x == Vector3D(1, 0, 0)
assert plane.y == Vector3D(0, 0, -1)
assert plane.k == 0
plane_dup = plane.duplicate()
assert plane_dup.o == Point3D(2, 0, 2)
assert plane_dup.n == Vector3D(0, 1, 0)
assert plane_dup.x == Vector3D(1, 0, 0)
assert plane_dup.y == Vector3D(0, 0, -1)
assert plane_dup.k == 0
plane_flip = plane.flip()
assert plane_flip.o == Point3D(2, 0, 2)
assert plane_flip.n == Vector3D(0, -1, 0)
assert plane_flip.x == Vector3D(-1, 0, 0)
assert plane_flip.y == Vector3D(0, 0, -1)
assert plane_flip.k == 0
def test_plane_init():
"""Test the initialization of Plane objects and basic properties."""
pt = Point3D(2, 0, 2)
vec = Vector3D(0, 2, 0)
plane = Plane(vec, pt)
str(plane) # test the string representation
hash(plane)
assert plane.o == Point3D(2, 0, 2)
assert plane.n == Vector3D(0, 1, 0)
assert plane.x == Vector3D(1, 0, 0)
assert plane.y == Vector3D(0, 0, -1)
assert plane.k == 0
assert round(plane.altitude, 3) == 0
assert round(plane.azimuth, 3) == 0
plane_dup = plane.duplicate()
assert plane_dup.o == Point3D(2, 0, 2)
assert plane_dup.n == Vector3D(0, 1, 0)
assert plane_dup.x == Vector3D(1, 0, 0)
assert plane_dup.y == Vector3D(0, 0, -1)
assert plane_dup.k == 0
assert round(plane.altitude, 3) == 0
assert round(plane.azimuth, 3) == 0
plane_flip = plane.flip()
assert plane_flip.o == Point3D(2, 0, 2)
assert plane_flip.n == Vector3D(0, -1, 0)
assert plane_flip.x == Vector3D(1, 0, 0)
assert plane_flip.y == Vector3D(0, 0, 1)
assert plane_flip.k == 0
assert round(plane_flip.altitude, 3) == 0
assert round(plane_flip.azimuth, 3) == round(math.pi, 3)
def test_equality():
"""Test the equality of Plane objects."""
pt = Point3D(2, 0, 2)
vec = Vector3D(0, 2, 0)
plane = Plane(vec, pt)
plane_dup = plane.duplicate()
plane_alt = Plane(vec, Point3D(2, 0.1, 2))
assert plane is plane
assert plane is not plane_dup
assert plane == plane_dup
assert hash(plane) == hash(plane_dup)
assert plane != plane_alt
assert hash(plane) != hash(plane_alt)