def test_align_face_transformations_trapezoid_floor(self):
# type: () -> None
tol = 12 # places
testVertices = Polygon3D([(27.69, 0, 0), (0, 0, 0), (5, 5, 0),
(22.69, 5, 0)])
t = Transformation()._align_face(testVertices)
tempVertices = t._inverse() * testVertices
expectedVertices = Polygon3D([(0, 0, 0), (27.69, 0, 0), (22.69, 5, 0),
(5, 5, 0)])
assert almostequal(tempVertices, expectedVertices, tol)
def test_align_z_prime_transformations(self):
# type: () -> None
x_axis = Vector3D(1, 0, 0)
y_axis = Vector3D(0, 1, 0)
z_axis = Vector3D(0, 0, 1)
t = Transformation()
outward_normal = Vector3D(0, -1, 0)
t = t._align_z_prime(outward_normal)
assert x_axis == t * x_axis
assert z_axis == t * y_axis
result = t * z_axis
assert outward_normal == result
outward_normal = Vector3D(1, 0, 0)
t = t._align_z_prime(outward_normal)
assert y_axis == t * x_axis
assert z_axis == t * y_axis
assert outward_normal == t * z_axis
outward_normal = Vector3D(0, 1, 0)
t = t._align_z_prime(outward_normal)
assert -x_axis == t * x_axis
assert z_axis == t * y_axis
assert outward_normal == t * z_axis
outward_normal = Vector3D(-1, 0, 0)
t = t._align_z_prime(outward_normal)
assert -y_axis == t * x_axis
assert z_axis == t * y_axis
assert outward_normal == t * z_axis
outward_normal = Vector3D(0, 0, 1)
t = t._align_z_prime(outward_normal)
assert -x_axis == t * x_axis
assert -y_axis == t * y_axis
assert outward_normal == t * z_axis
outward_normal = Vector3D(0, 0, -1)
t = t._align_z_prime(outward_normal)
assert -x_axis == t * x_axis
assert y_axis == t * y_axis
assert outward_normal == t * z_axis
def test_translation_transformations(self):
# type: () -> None
tol = 12 # places
trans = Vector3D(1, 1, 1)
point1 = Vector3D(1, 0, 0)
t = Transformation()
# identity transformation
temp = t * point1
assert almostequal(1.0, temp.x, tol)
assert almostequal(0.0, temp.y, tol)
assert almostequal(0.0, temp.z, tol)
# move by 1, 1, 1
t = Transformation(translation_matrix(trans))
temp = t * point1
assert almostequal(2.0, temp.x, tol)
assert almostequal(1.0, temp.y, tol)
assert almostequal(1.0, temp.z, tol)
# move by -1, -1, -1
temp = t._inverse() * point1
assert almostequal(0.0, temp.x, tol)
assert almostequal(-1.0, temp.y, tol)
assert almostequal(-1.0, temp.z, tol)
# identity transformation
temp = t._inverse() * t * point1
assert almostequal(1.0, temp.x, tol)
assert almostequal(0.0, temp.y, tol)
assert almostequal(0.0, temp.z, tol)
# identity transformation
temp = t * t._inverse() * point1
assert almostequal(1.0, temp.x, tol)
assert almostequal(0.0, temp.y, tol)
assert almostequal(0.0, temp.z, tol)
def test_align_face_transformations(self):
# type: () -> None
tol = 12 # places
vertices = Polygon3D([(1, 0, 1), (1, 0, 0), (2, 0, 0), (2, 0, 1)])
t = Transformation()
# rotate 0 degrees about z
testVertices = t._rotation(Vector3D(0, 0, 1), 0) * vertices
t = Transformation()._align_face(testVertices)
tempVertices = t._inverse() * testVertices
expectedVertices = Polygon3D([(0, 1, 0), (0, 0, 0), (1, 0, 0),
(1, 1, 0)])
assert almostequal(tempVertices, expectedVertices, tol)
# rotate 30 degrees about z
testVertices = t._rotation(Vector3D(0, 0, 1),
np.deg2rad(30)) * vertices
t = Transformation()._align_face(testVertices)
tempVertices = t._inverse() * testVertices
expectedVertices = Polygon3D([(0, 1, 0), (0, 0, 0), (1, 0, 0),
(1, 1, 0)])
assert almostequal(tempVertices, expectedVertices, tol)
# rotate -30 degrees about z
testVertices = t._rotation(Vector3D(0, 0, 1),
-np.deg2rad(30)) * vertices
t = Transformation()._align_face(testVertices)
tempVertices = t._inverse() * testVertices
expectedVertices = Polygon3D([(0, 1, 0), (0, 0, 0), (1, 0, 0),
(1, 1, 0)])
assert almostequal(tempVertices, expectedVertices, tol)
# rotate -30 degrees about x
testVertices = t._rotation(Vector3D(1, 0, 0),
-np.deg2rad(30)) * vertices
t = Transformation()._align_face(testVertices)
tempVertices = t._inverse() * testVertices
expectedVertices = Polygon3D([(0, 1, 0), (0, 0, 0), (1, 0, 0),
(1, 1, 0)])
assert almostequal(tempVertices, expectedVertices, tol)
# rotate -90 degrees about x
testVertices = t._rotation(Vector3D(1, 0, 0),
-np.deg2rad(90)) * vertices
t = Transformation()._align_face(testVertices)
tempVertices = t._inverse() * testVertices
expectedVertices = Polygon3D([(1, 0, 0), (1, 1, 0), (0, 1, 0),
(0, 0, 0)])
assert almostequal(tempVertices, expectedVertices, tol)
# rotate 30 degrees about x
testVertices = t._rotation(Vector3D(1, 0, 0),
np.deg2rad(30)) * vertices
t = Transformation()._align_face(testVertices)
tempVertices = t._inverse() * testVertices
expectedVertices = Polygon3D([(0, 1, 0), (0, 0, 0), (1, 0, 0),
(1, 1, 0)])
assert almostequal(tempVertices, expectedVertices, tol)
# rotate 90 degrees about x
testVertices = t._rotation(Vector3D(1, 0, 0),
np.deg2rad(90)) * vertices
t = Transformation()._align_face(testVertices)
tempVertices = t._inverse() * testVertices
expectedVertices = Polygon3D([(1, 0, 0), (1, 1, 0), (0, 1, 0),
(0, 0, 0)])
assert almostequal(tempVertices, expectedVertices, tol)