def test_intersection():
corners = [ Point(0.0, 0.0, 0.0), Point(1.0, 0.0, 0.0), Point(1.0, 1.0, 0.0), Point(0.0, 1.0, 0.0) ]
polygon = Polygon(corners, Point(0.5, 0.5, 0.0))
a = Point(0.5, 0.5, 1.0)
b = Point(0.5, 0.5, -1.0)
intersection = polygon.plane().intersection(a, b)
assert intersection == Point(0.5, 0.5, 0.0)
def test_from_normal_and_point():
corners1 = [
Point(0.0, 0.0, 0.0),
Point(1.0, 0.0, 0.0),
Point(1.0, 1.0, 0.0),
Point(0.0, 1.0, 0.0)
]
center1 = Point(0.5, 0.5, 0.0)
polygon1 = Polygon(corners1, center1)
plane1 = Plane.from_normal_and_point(polygon1.plane().normal(), center1)
assert polygon1.plane(
) == plane1 # tests the reduced normal form coefficients.
corners2 = [
Point(0.0, 0.0, 0.0),
Point(0.0, 1.0, 0.0),
Point(0.0, 1.0, 1.0),
Point(0.0, 0.0, 1.0)
]
center2 = Point(0.0, 0.5, 0.5)
polygon2 = Polygon(corners2, center2)
plane2 = Plane.from_normal_and_point(polygon2.plane().normal(), center2)
assert polygon2.plane() == plane2
corners4 = [
Point(1.0, 0.0, 0.0),
Point(1.0, 1.0, 0.0),
Point(1.0, 1.0, 1.0),
Point(1.0, 0.0, 1.0)
]
center4 = Point(1.0, 0.5, 0.5)
polygon4 = Polygon(corners4, center4)
plane4 = Plane.from_normal_and_point(polygon4.plane().normal(), center4)
assert polygon4.plane() == plane4
class PolygonCase(unittest.TestCase):
def setUp(self):
points = [
Point(0.0, 0.0, 0.0),
Point(1.0, 0.0, 0.0),
Point(0.0, 1.0, 0.0)
]
self.polygon = Polygon(points, Point(0.25, 0.25, 0.0))
def tearDown(self):
del self.polygon
def test_plane(self):
self.assertIsInstance(self.polygon.plane(), Plane)
self.assertIsInstance(self.polygon.plane().normal(), Vector)
self.assertEqual(self.polygon.plane().normal(), Vector(0.0, 0.0, 1.0))
def test_intersection(self):
corners = [
Point(0.0, 0.0, 0.0),
Point(1.0, 0.0, 0.0),
Point(1.0, 1.0, 0.0),
Point(0.0, 1.0, 0.0)
]
polygon = Polygon(corners, Point(0.5, 0.5, 0.0))
a = Point(0.5, 0.5, 1.0)
b = Point(0.5, 0.5, -1.0)
intersection = polygon.plane().intersection(a, b)
self.assertEqual(intersection, Point(0.5, 0.5, 0.0))
def test_intersection():
plane = Plane(0.0, 0.0, 1.0, -0.9)
a = Point(0.5, 0.5, -0.9)
b = Point(0.0, 0.0, 0.0)
assert plane.intersection(a, b) == Point(-0.5, -0.5, 0.9)
points = [Point(0.5, 0.0, 0.0), Point(0.5, 1.0, 0.0), Point(0.5, 1.0, 1.0), Point(0.5, 0.1, 1.0)]
polygon = Polygon(points, Point(0.5, 0.5, 0.5))
source = Point(0.5, 0.5, 0.5)
mirror = source.mirror_with(Plane.from_normal_and_point(Vector(1.0, 0.0, 0.0), Point(1.0, 0.5, 0.5)))
intersection = polygon.plane().intersection(mirror, Point(1.0, 0.0, 0.0))
assert intersection == Point(0.5, -0.5, -0.5)
def test_intersection(self):
corners = [
Point(0.0, 0.0, 0.0),
Point(1.0, 0.0, 0.0),
Point(1.0, 1.0, 0.0),
Point(0.0, 1.0, 0.0)
]
polygon = Polygon(corners, Point(0.5, 0.5, 0.0))
a = Point(0.5, 0.5, 1.0)
b = Point(0.5, 0.5, -1.0)
intersection = polygon.plane().intersection(a, b)
self.assertEqual(intersection, Point(0.5, 0.5, 0.0))
def test_intersection():
corners = [
Point(0.0, 0.0, 0.0),
Point(1.0, 0.0, 0.0),
Point(1.0, 1.0, 0.0),
Point(0.0, 1.0, 0.0)
]
polygon = Polygon(corners, Point(0.5, 0.5, 0.0))
a = Point(0.5, 0.5, 1.0)
b = Point(0.5, 0.5, -1.0)
intersection = polygon.plane().intersection(a, b)
assert intersection == Point(0.5, 0.5, 0.0)
def test_intersection():
plane = Plane(0.0, 0.0, 1.0, -0.9)
a = Point(0.5, 0.5, -0.9)
b = Point(0.0, 0.0, 0.0)
assert plane.intersection(a, b) == Point(-0.5, -0.5, 0.9)
points = [
Point(0.5, 0.0, 0.0),
Point(0.5, 1.0, 0.0),
Point(0.5, 1.0, 1.0),
Point(0.5, 0.1, 1.0)
]
polygon = Polygon(points, Point(0.5, 0.5, 0.5))
source = Point(0.5, 0.5, 0.5)
mirror = source.mirror_with(
Plane.from_normal_and_point(Vector(1.0, 0.0, 0.0),
Point(1.0, 0.5, 0.5)))
intersection = polygon.plane().intersection(mirror, Point(1.0, 0.0, 0.0))
assert intersection == Point(0.5, -0.5, -0.5)
def test_from_normal_and_point():
corners1 = [ Point(0.0, 0.0, 0.0), Point(1.0, 0.0, 0.0), Point(1.0, 1.0, 0.0), Point(0.0, 1.0, 0.0) ]
center1 = Point(0.5, 0.5, 0.0)
polygon1 = Polygon(corners1, center1)
plane1 = Plane.from_normal_and_point(polygon1.plane().normal(), center1)
assert polygon1.plane() == plane1 # tests the reduced normal form coefficients.
corners2 = [ Point(0.0, 0.0, 0.0), Point(0.0, 1.0, 0.0), Point(0.0, 1.0, 1.0), Point(0.0, 0.0, 1.0) ]
center2 = Point(0.0, 0.5, 0.5)
polygon2 = Polygon(corners2, center2)
plane2 = Plane.from_normal_and_point(polygon2.plane().normal(), center2)
assert polygon2.plane() == plane2
corners4 = [ Point(1.0, 0.0, 0.0), Point(1.0, 1.0, 0.0), Point(1.0, 1.0, 1.0), Point(1.0, 0.0, 1.0) ]
center4 = Point(1.0, 0.5, 0.5)
polygon4 = Polygon(corners4, center4)
plane4 = Plane.from_normal_and_point(polygon4.plane().normal(), center4)
assert polygon4.plane() == plane4
