def test_tangent(self):
q = Quadric([[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, -1]])
assert q.contains(Point(1, 0, 0))
assert q.tangent(at=Point(1, 0, 0)) == Plane(Point(1, 0, 0),
Point(1, 0, 1),
Point(1, 1, 0))
def test_components(self):
l = Line(1, 2, 3)
m = Line(4, 5, 6)
g = Line(3, 2, 1)
h = Line(6, 5, 4)
q = QuadricCollection([Conic.from_lines(l, m), Conic.from_lines(g, h)])
assert q.components == [LineCollection([m, g]), LineCollection([l, h])]
e = Plane(1, 2, 3, 4)
f = Plane(4, 3, 2, 1)
g = Plane(5, 6, 7, 8)
h = Plane(8, 7, 6, 5)
q = QuadricCollection([Quadric.from_planes(e, f), Quadric.from_planes(g, h)])
assert q.components == [PlaneCollection([e, g]), PlaneCollection([f, h])]
def test_components(self):
e = Plane(1, 2, 3, 4)
f = Plane(4, 3, 2, 1)
q = Quadric.from_planes(e, f)
assert q.components == [e, f]