def test_reduced_circle(self):
point_on = Vector2D(1.0, .0)
circle = MyCircle(Vector2D(.0, .0), 1.0)
self.assertTrue(circle.is_point_on_edge(point_on))
r = 0.75
angle = 3 * pi / 4.0
p0 = Vector2D(r * cos(angle) + 0.25, r * sin(angle))
p1 = Vector2D(-0.5, .0);
line = Line2D(circle.centre, point_on)
red_circle_new0 = reduced_circle_new(point_on, p0, line)
red_circle_new1 = reduced_circle_new(point_on, p1, line)
self.assertEqual(0.25, red_circle_new0.centre.get_x())
self.assertEqual(0.0, red_circle_new0.centre.get_y())
self.assertEqual(0.75, red_circle_new0.radius)
self.assertEqual(0.25, red_circle_new1.centre.get_x())
self.assertEqual(0.0, red_circle_new1.centre.get_y())
self.assertEqual(0.75, red_circle_new1.radius)
self.test_triangle_obtuse()
for i in range(500):
self.test_random()
def test_random(self):
point_on = self.get_random_point()
point_centre = self.get_random_point()
norm = point_on.sub(point_centre).norm()
circle = MyCircle(point_centre, norm)
self.assertTrue(circle.is_point_on_edge(point_on))
point_along = self.get_random_point()
point_aim = self.get_random_point()
new_circle_new = reduced_circle_new(point_on, point_aim, Line2D(circle.centre, point_along))
self.assertTrue(new_circle_new.is_point_on_edge(point_on))
self.assertTrue(new_circle_new.is_point_on_edge(point_aim))
def find_smallest_circle_sqtime(a_list_of_points):
gravity_centre = find_gravity_centre(a_list_of_points)
smallest_circle = MyCircle(gravity_centre, .1)
farther_point = max(a_list_of_points, key=lambda p: smallest_circle.centre.sub(p).norm())
smallest_circle.radius = smallest_circle.centre.sub(farther_point).norm()
anchor_radius = 0.0
anchor_point = farther_point
for p in a_list_of_points:
if p is not farther_point:
circle = reduced_circle_new(farther_point, p, Line2D(smallest_circle.centre, farther_point))
if anchor_radius < circle.radius:
anchor_radius = circle.radius
anchor_point = p
smallest_circle = circle
# the pair of pivot points found:
a = farther_point
b = anchor_point
in_progress = True
while in_progress:
in_progress = False
two_points_based_centre = a.sum(b).multiply(0.5)
two_points_based_radius = 0.5 * a.sub(b).norm()
two_points_based_circle = MyCircle(two_points_based_centre, two_points_based_radius)
if all(two_points_based_circle.is_point_inside(p) for p in a_list_of_points):
smallest_circle = two_points_based_circle
pivot_points = [a, b]
else:
final_radius = two_points_based_radius
final_point = None
final_centre = smallest_circle.centre
for p in a_list_of_points:
if p is not a and p is not b:
obtuse_point = get_vertex_with_obtuse_angle(a, b, p)
if obtuse_point is p:
continue
line_ab = Line2D(a, b)
mid = line_ab.middle_point()
line_along = Line2D(mid, mid.sum(line_ab.orthogonal_vector()))
circle = reduced_circle_new(a, p, line_along)
if final_radius < circle.radius < smallest_circle.radius:
final_radius = circle.radius
final_centre = circle.centre
final_point = p
# assert isinstance(final_point, Point2D)
obtuse_point = get_vertex_with_obtuse_angle(a, b, final_point)
if obtuse_point is not None:
assert final_point is not obtuse_point, 'final is obtuse!'
in_progress = True
if obtuse_point is a:
a = final_point
else:
b = final_point
else:
smallest_circle.centre = final_centre
smallest_circle.radius = final_radius
# assert final_point is not a and not b
if final_point is not None:
pivot_points = [a, b, final_point]
else:
pivot_points = [a, b]
assert isinstance(pivot_points, list)
return smallest_circle, pivot_points
