def test_sphere_rotate_xy():
"""Test the Sphere rotate_xy method."""
sp = Sphere(Point3D(4, 0, 2), 3)
test = sp.rotate_xy(math.pi / 2, Point3D(0, 0, 0))
assert test.center.x == pytest.approx(0, rel=1e-3)
assert test.center.y == pytest.approx(4, rel=1e-3)
assert test.center.z == pytest.approx(2, rel=1e-3)
def test_sphere_move():
"""Test the Sphere move method."""
sp = Sphere(Point3D(2, 0, 2), 3)
test = sp.move(Vector3D(2, 3, 6.5))
assert test.center.x == pytest.approx(4, rel=1e-3)
assert test.center.y == pytest.approx(3, rel=1e-3)
assert test.center.z == pytest.approx(8.5, rel=1e-3)
def test_sphere_duplicate():
"""Test the Sphere duplicate method."""
sp = Sphere(Point3D(8.5, 1.2, 2.9), 6.5)
test = sp.duplicate()
assert test.radius == 6.5
assert test.center.x == pytest.approx(8.5, rel=1e-3)
assert test.center.y == pytest.approx(1.2, rel=1e-3)
assert test.center.z == pytest.approx(2.9, rel=1e-3)
def test_sphere_to_from_dict():
"""Test the Sphere to_dict and from_dict methods."""
sp = Sphere(Point3D(4, 0, 2), 3)
d = sp.to_dict()
sp = Sphere.from_dict(d)
assert sp.center.x == pytest.approx(4, rel=1e-3)
assert sp.center.y == pytest.approx(0, rel=1e-3)
assert sp.center.z == pytest.approx(2, rel=1e-3)
def test_sphere_scale():
"""Test the Sphere scale method."""
sp = Sphere(Point3D(4, 0, 2), 2.5)
test = sp.scale(2, Point3D(0, 0, 0))
assert test.radius == 5
assert test.center.x == pytest.approx(8, rel=1e-3)
assert test.center.y == pytest.approx(0, rel=1e-3)
assert test.center.z == pytest.approx(4, rel=1e-3)
def test_sphere_rotate():
"""Test the Sphere rotate method."""
sp = Sphere(Point3D(2, 0, 2), 3)
test1 = sp.rotate(Vector3D(0, 0, 1), math.pi, Point3D(0, 0, 0))
assert test1.center.x == pytest.approx(-2, rel=1e-3)
assert test1.center.y == pytest.approx(0, rel=1e-3)
assert test1.center.z == pytest.approx(2, rel=1e-3)
test2 = sp.rotate(Vector3D(1, 0, 0), math.pi, Point3D(0, 0, 0))
assert test2.center.x == pytest.approx(2, rel=1e-3)
assert test2.center.y == pytest.approx(0, rel=1e-3)
assert test2.center.z == pytest.approx(-2, rel=1e-3)
def test_equality():
"""Test the equality of Sphere objects."""
sphere = Sphere(Point3D(2, 0, 2), 3)
sphere_dup = sphere.duplicate()
sphere_alt = Sphere(Point3D(2, 0.1, 2), 3)
assert sphere is sphere
assert sphere is not sphere_dup
assert sphere == sphere_dup
assert hash(sphere) == hash(sphere_dup)
assert sphere != sphere_alt
assert hash(sphere) != hash(sphere_alt)
def test_sphere_intersection_with_line_ray():
"""Test the Sphere intersect_line_ray method."""
lpt = Point3D(-2, 0, 0)
vec = Vector3D(4, 0, 0)
seg = LineSegment3D(lpt, vec)
spt = Point3D(0, 0, 0)
sp = Sphere(spt, 1.5)
int1 = sp.intersect_line_ray(seg)
assert isinstance(int1, LineSegment3D)
assert int1.p == Point3D(1.5, 0, 0)
lpt = Point3D(-2, 0, 1.5)
vec = Vector3D(4, 0, 0)
seg = LineSegment3D(lpt, vec)
int2 = sp.intersect_line_ray(seg)
assert isinstance(int2, Point3D)
def test_sphere_reflect():
"""Test the Sphere reflect method."""
origin_1 = Point3D(1, 0, 0)
origin_2 = Point3D(0, 0, 2)
normal_1 = Vector3D(0, 0, 1)
normal_2 = Vector3D(1, 0, 0)
sp = Sphere(Point3D(0, 0, 0), 3)
test_1 = sp.reflect(normal_1, origin_1)
assert test_1.center.x == pytest.approx(0, rel=1e-3)
assert test_1.center.y == pytest.approx(0, rel=1e-3)
assert test_1.center.z == pytest.approx(0, rel=1e-3)
test_2 = sp.reflect(normal_2, origin_1)
assert test_2.center.x == pytest.approx(2, rel=1e-3)
assert test_2.center.y == pytest.approx(0, rel=1e-3)
assert test_2.center.z == pytest.approx(0, rel=1e-3)
test_3 = sp.reflect(normal_1, origin_2)
assert test_3.center.x == pytest.approx(0, rel=1e-3)
assert test_3.center.y == pytest.approx(0, rel=1e-3)
assert test_3.center.z == pytest.approx(4, rel=1e-3)
def test_sphere_intersection_with_plane():
"""Test the Sphere intersect_plane method."""
ppt = Point3D(-1.5, 0, 1.46)
vec = Vector3D(0.1, 0, 1)
pl = Plane(vec, ppt)
spt = Point3D(0, 0, 0)
sp = Sphere(spt, 1.5)
int1 = sp.intersect_plane(pl)
assert isinstance(int1, Arc3D)
ppt = Point3D(0, 0, 0)
vec = Vector3D(0, 0, 1)
pl = Plane(vec, ppt)
int2 = sp.intersect_plane(pl)
assert int2.c == ppt
assert int2.radius == 1.5
ppt = Point3D(0, 0, 1.5)
vec = Vector3D(0, 0, 1)
pl = Plane(vec, ppt)
int3 = sp.intersect_plane(pl)
assert int3 is None
def test_sphere_init():
"""Test the initalization of Sphere objects and basic properties."""
pt = Point3D(2, 0, 2)
r = 3
sp = Sphere(pt, r)
str(sp) # test the string representation of the line segment
assert sp.center == Point3D(2, 0, 2)
assert sp.radius == 3
assert sp.min.z == -1
assert sp.max.z == 5
assert sp.diameter == 6
assert isinstance(sp.circumference, float)
assert isinstance(sp.area, float)
assert isinstance(sp.volume, float)