def test_perpendicular(self):
p = Point(1, 1, 0)
q = Point(0, 0, 1)
r = Point(1, 2, 3)
l = Line(p, q)
m = l.perpendicular(p)
assert l.meet(m) == p
assert is_perpendicular(l, m)
m = l.perpendicular(r)
assert is_perpendicular(l, m)
e = Plane(l, r)
m = e.perpendicular(p)
assert e.meet(m) == p
assert is_perpendicular(l, m)
m = e.perpendicular(p + m.direction)
assert e.meet(m) == p
assert is_perpendicular(l, m)
f = e.perpendicular(l)
assert e.meet(f) == l
assert is_perpendicular(e, f)
def test_meet(self):
p1 = Plane(1, 0, 0, 0)
p2 = Plane(0, 0, 1, 0)
p3 = Plane(0, 1, 0, 0)
# three planes
assert meet(p1, p2, p3) == Point(0, 0, 0)
# two planes
l = p1.meet(p2)
m = Line(Point(0, 0, 0), Point(0, 1, 0))
assert l == m
# two lines
m = Line(Point(0, 0, 0), Point(1, 2, 5))
assert l.meet(m) == Point(0, 0, 0)
# plane and line
assert p3.meet(l) == Point(0, 0, 0)
def test_meet(self):
p1 = Plane(1, 0, 0, 0, 0)
p2 = Plane(0, 1, 0, 0, 0)
p3 = Plane(0, 0, 1, 0, 0)
p4 = Plane(0, 0, 0, 1, 0)
# four hyperplanes
assert meet(p1, p2, p3, p4) == Point(0, 0, 0, 0)
# hyperplane and line
l = Line(Point(0, 0, 0, 0), Point(0, 0, 1, 0))
assert p3.meet(l) == Point(0, 0, 0, 0)
# two lines
m = Line(Point(0, 0, 0, 0), Point(1, 2, 5, 6))
assert l.meet(m) == Point(0, 0, 0, 0)
