def test_intersection(self):
c = Circle(Point(0, 2), 2)
l = Line(Point(-1, 2), Point(1, 2))
assert c.contains(Point(0, 0))
assert c.intersect(l) == [Point(-2, 2), Point(2, 2)]
assert c.intersect(l-Point(0, 2)) == [Point(0, 0)]
def test_intersect(self):
q = QuadricCollection([Circle(Point(0, 1), 1), Circle(Point(0, 2), 2)])
l = LineCollection(
[Line(Point(-1, 1), Point(1, 1)),
Line(Point(-1, 2), Point(1, 2))])
assert q.intersect(l) == [
PointCollection([Point(1, 1), Point(-2, 2)]),
PointCollection([Point(-1, 1), Point(2, 2)]),
]
q = QuadricCollection(
[Sphere(Point(0, 0, 1), 1),
Sphere(Point(0, 0, 2), 2)])
l = LineCollection([
Line(Point(-1, 0, 1), Point(1, 0, 1)),
Line(Point(-1, 0, 2), Point(1, 0, 2)),
])
m = Line(Point(-1, 0, 2), Point(1, 0, 2))
assert q.intersect(l) == [
PointCollection([Point(-1, 0, 1), Point(-2, 0, 2)]),
PointCollection([Point(1, 0, 1), Point(2, 0, 2)]),
]
assert q.intersect(m) == [
PointCollection([Point(0, 0, 2), Point(-2, 0, 2)]),
PointCollection([Point(0, 0, 2), Point(2, 0, 2)]),
]
def test_copy(self):
c1 = Circle(Point(0, 1), 4.5)
c2 = c1.copy()
assert c1 == c2
assert c1 is not c2
assert c1.center == c2.center
assert c1.radius == c2.radius
def test_intersections(self):
c = Circle(Point(0, 0), 1)
i = c.intersect(Line(0, 1, 0))
assert len(i) == 2
assert Point(1, 0) in i
assert Point(-1, 0) in i
c2 = Circle(Point(0, 2), 1)
assert Point(0, 1) in c.intersect(c2)
def test_from_points_and_conics(self):
c1 = Circle()
p1 = Point(0, -1)
p2 = Point(0, 1)
p3 = Point(1, 0)
c2 = Circle(Point(0, 2), 2)
q1 = Point(0, 0)
q2 = Point(0, 4)
q3 = Point(2, 2)
t = Transformation.from_points_and_conics([p1, p2, p3], [q1, q2, q3],
c1, c2)
assert t * p1 == q1
assert t * p2 == q2
assert t * p2 == q2
assert t.apply(c1) == c2
def test_intersect(self):
c = Circle(Point(0, 2), 2)
l = Line(Point(-1, 2), Point(1, 2))
assert c.contains(Point(0, 0))
assert c.intersect(l) == [Point(-2, 2), Point(2, 2)]
assert c.intersect(l - Point(0, 2)) == [Point(0, 0)]
l = LineCollection(
[Line(Point(-1, 2), Point(1, 2)),
Line(Point(0, 2), Point(0, 0))])
assert c.intersect(l) == [
PointCollection([Point(-2, 2), Point(0, 0)]),
PointCollection([Point(2, 2), Point(0, 4)]),
]
c1 = Circle(Point(0, 0), 5)
c2 = Circle(Point(8, 0), 5)
intersections = c1.intersect(c2)
assert Point(4, 3) in intersections
assert Point(4, -3) in intersections
def test_intersect(self):
c = Circle(Point(0, 0), 1)
i = c.intersect(Line(0, 1, 0))
assert len(i) == 2
assert Point(1, 0) in i
assert Point(-1, 0) in i
c2 = Circle(Point(0, 2), 1)
assert Point(0, 1) in c.intersect(c2)
c3 = Conic.from_lines(Line(1, 0, 0), Line(0, 1, 0))
assert Point(1, 0) in c.intersect(c3)
assert Point(0, 1) in c.intersect(c3)
assert Point(-1, 0) in c.intersect(c3)
assert Point(0, -1) in c.intersect(c3)
def test_transform(self):
c = Circle()
t = translation(1, 1)
assert t * c == Circle(Point(1, 1))
assert t.apply(c).center == Point(1, 1)
def test_intersection_angle(self):
c1 = Circle()
c2 = Circle(Point(1, 1), 1)
assert np.isclose(c1.intersection_angle(c2), np.pi / 2)
def test_center(self):
c = Circle(Point(0, 1), 1)
assert c.center == Point(0, 1)
def test_contains(self):
c = Circle(Point(0, 1), 1)
assert c.contains(Point(0, 2))
assert c.contains(Point(1, 1))
def test_circle(self):
c = Circle(Point(0, 1), 1)
assert c.contains(Point(0, 2))
assert c.contains(Point(1, 1))
assert c.tangent(at=Point(0, 0)) == Line(0, 1, 0)
assert c.center == Point(0, 1)
def test_intersect(self):
c = Circle(Point(0, 2), 2)
l = Line(Point(-1, 2), Point(1, 2))
assert c.contains(Point(0, 0))
assert c.intersect(l) == [Point(-2, 2), Point(2, 2)]
assert c.intersect(l - Point(0, 2)) == [Point(0, 0)]
l = LineCollection([Line(Point(-1, 2), Point(1, 2)), Line(Point(0, 2), Point(0, 0))])
assert c.intersect(l) == [PointCollection([Point(-2, 2), Point(0, 0)]),
PointCollection([Point(2, 2), Point(0, 4)])]
c1 = Circle(Point(0, 0), 5)
c2 = Circle(Point(8, 0), 5)
intersections = c1.intersect(c2)
assert Point(4, 3) in intersections
assert Point(4, -3) in intersections
c1 = Circle(Point(0, 0))
c2 = Circle(Point(0.5, 0))
i = c1.intersect(c2)
assert len(i) == 4
assert len([p for p in i if p.isreal]) == 2