def test_meet(self):
# three planes
a = PlaneCollection([Plane(1, 0, 0, 0), Plane(1, 0, 0, -1)])
b = PlaneCollection([Plane(0, 1, 0, 0), Plane(0, 1, 0, -1)])
c = PlaneCollection([Plane(0, 0, 1, 0), Plane(0, 0, 1, -1)])
assert meet(a, b, c) == PointCollection([Point(0, 0, 0), Point(1, 1, 1)])
# two planes
l = a.meet(b)
m = LineCollection(
[Line(Point(0, 0, 0), Point(0, 0, 1)), Line(Point(1, 1, 0), Point(1, 1, 1))]
)
assert l == m
# two lines in 2D
a = LineCollection([Line(0, 1, 0), Line(0, 1, -1)])
b = LineCollection([Line(1, 0, 0), Line(1, 0, -1)])
assert a.meet(b) == PointCollection([Point(0, 0), Point(1, 1)])
# two lines in 3D
a = LineCollection(
[Line(Point(0, 0, 0), Point(0, 0, 1)), Line(Point(1, 0, 0), Point(1, 0, 1))]
)
b = LineCollection(
[Line(Point(0, 0, 0), Point(0, 1, 0)), Line(Point(1, 0, 0), Point(1, 1, 0))]
)
assert a.meet(b) == PointCollection([Point(0, 0, 0), Point(1, 0, 0)])
# plane and line
a = LineCollection(
[Line(Point(0, 0, 0), Point(0, 0, 1)), Line(Point(1, 0, 0), Point(1, 0, 1))]
)
b = PlaneCollection([Plane(0, 0, 1, 0), Plane(0, 0, 1, -1)])
assert a.meet(b) == PointCollection([Point(0, 0, 0), Point(1, 0, 1)])
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)
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)