def test_area_triangle(triangle, R):
assert close(area_polygon(triangle.points), 0.5)
assert close(area_polygon_xy(triangle.points), 0.5)
assert close(area_triangle(triangle.points), 0.5)
assert close(area_triangle_xy(triangle.points), 0.5)
assert close(triangle.area, 0.5)
triangle.transform(R)
assert close(area_polygon(triangle.points), 0.5)
assert close(area_polygon_xy(triangle.points), 0.0)
assert close(area_triangle(triangle.points), 0.5)
assert close(area_triangle_xy(triangle.points), 0.0)
assert close(triangle.area, 0.5)
def test_volume_polyhedron(polyhedron, volume):
if volume is None:
L = length_vector(
subtract_vectors(polyhedron.vertices[0], polyhedron.vertices[1]))
volume = L * L * L
V = volume_polyhedron(polyhedron)
assert close(V, volume)
def test_area_square(square, R):
assert close(area_polygon(square.points), 1)
assert close(area_polygon_xy(square.points), 1)
assert close(square.area, 1)
square.transform(R)
assert close(area_polygon(square.points), 1)
assert close(area_polygon_xy(square.points), 0)
assert close(square.area, 1)
def test_angle_vectors(u, v, angle):
assert close(angle_vectors(u, v), angle)
def test_angle_planes(a, b, angle):
assert close(angle_planes(a, b), angle)