def test_contains(self):
a = Point(0, 0)
b = Point(0, 2)
c = Point(2, 2)
d = Point(2, 0)
r = Rectangle(a, b, c, d)
assert r.contains(a)
assert r.contains(b)
assert r.contains(c)
assert r.contains(d)
assert r.contains(Point(1, 1))
assert not r.contains(Point([1, 1, 0]))
a = Point(0, 0, 1)
b = Point(1, 3, 1)
c = Point(2, 0, 1)
d = Point(1, 1, 1)
p = Polygon(a, b, c, d)
assert p.contains(Point(0.5, 1, 1))
assert not p.contains(Point(0.5, 1, 0))
assert np.all(
p.contains(PointCollection([Point(0.5, 1, 1),
Point(1.5, 1, 1)])))
assert np.all(p.contains(PointCollection([a, c, d])))
t = Triangle(Point(0, 0), Point(0, 2), Point(2, 1))
assert t.contains(Point(1, 1))
assert not t.contains(Point(-1, 1))
assert not t.contains(Point([1, 1, 0]))
def test_circumcenter(self):
a = Point(0, 0, 1)
b = Point(2, 0, 1)
c = Point(2, 2, 1)
t = Triangle(a, b, c)
assert t.circumcenter == Point(1, 1, 1)
def test_centroid(self):
a = Point(0, 0, 1)
b = Point(2, 0, 1)
c = Point(2, 2, 1)
t = Triangle(a, b, c)
s1, s2, s3 = t.edges
l1 = s1.midpoint.join(c)
l2 = s2.midpoint.join(a)
assert t.centroid == (a + b + c) / 3
assert t.centroid == l1.meet(l2)
def test_contains(self):
a = Point(0, 0)
b = Point(0, 2)
c = Point(2, 1)
t = Triangle(a, b, c)
assert t.contains(Point(1, 1))
assert all(t.contains(PointCollection([a, b, c])))
assert not t.contains(Point(-1, 1))
assert not t.contains(Point([1, 1, 0]))
def test_area(self):
a = Point(0, 0)
b = Point(2, 0)
c = Point(0, 2)
t = Triangle(a, b, c)
assert np.isclose(t.area, 2)