def test_join(self):
p1 = Point(1, 1, 0)
p2 = Point(2, 1, 0)
p3 = Point(3, 4, 0)
p4 = Point(0, 2, 0)
# 3 points
assert join(p1, p2, p3).contains(p4)
# 2 points
l = p1.join(p2)
assert l.contains(Point(3, 1, 0))
# two lines
m = Line(Point(0, 0, 0), Point(1, 2, 0))
assert join(l, m) == Plane(0, 0, 1, 0)
# point and line
p = join(l, p3)
assert p.contains(p4)
def test_join(self):
p1 = Point(1, 1, 4, 0)
p2 = Point(2, 1, 5, 0)
p3 = Point(3, 4, 6, 0)
p4 = Point(0, 2, 7, 0)
p5 = Point(1, 5, 8, 0)
# 4 points
assert join(p1, p2, p3, p4).contains(p5)
# 3 points
assert join(p1, p2, p3).contains(p3)
# two lines
l = Line(p1, p2)
m = Line(p3, p4)
assert join(l, m) == Plane(p1, p2, p3, p4)
# coplanar lines
l = Line(p1, p2)
m = Line(p1, p3)
assert join(l, m).contains(p3)
# point and line
p = join(l, p3)
assert p == join(p1, p2, p3)
# 2 points
l = p1.join(p2)
assert l.contains(Point(3, 1, 6, 0))
def test_join(self):
# 2 points
a = PointCollection([Point(0, 0), Point(0, 1)])
b = PointCollection([Point(1, 0), Point(1, 1)])
assert a.join(b) == LineCollection([Line(0, 1, 0), Line(0, 1, -1)])
# 3 points
a = PointCollection([Point(0, 0, 0), Point(0, 0, 1)])
b = PointCollection([Point(1, 0, 0), Point(1, 0, 1)])
c = PointCollection([Point(0, 1, 0), Point(0, 1, 1)])
assert join(a, b, c) == PlaneCollection([Plane(0, 0, 1, 0), Plane(0, 0, 1, -1)])
# two lines
l = a.join(b)
m = a.join(c)
assert join(l, m) == PlaneCollection([Plane(0, 0, 1, 0), Plane(0, 0, 1, -1)])
# point and line
assert join(a, b.join(c)) == PlaneCollection(
[Plane(0, 0, 1, 0), Plane(0, 0, 1, -1)]
)
