def test_vertical_negative(self):
x, y, a, b, r = 10, 5, 10, 20, 0
f0, f1 = ret._ellipse_centre_to_focus(x, y, a, b, r)
c = math.sqrt(b ** 2 - a ** 2)
assert approx(f0) == (x, y + c)
assert approx(f1) == (x, y - c)
def test_horizontal_negative(self):
x, y, a, b, r = 5, 20, 20, 10, 0
f0, f1 = ret._ellipse_centre_to_focus(x, y, a, b, r)
c = math.sqrt(a ** 2 - b ** 2)
assert approx(f0) == (x + c, y)
assert approx(f1) == (x - c, y)
def test_rotated_negative45_ellipse(self):
x, y, a, b, r = 10, 20, 10, 5, -math.pi / 4
f0, f1 = ret._ellipse_centre_to_focus(x, y, a, b, r)
c = math.sqrt(a ** 2 - b ** 2)
assert approx(f0) == (x - c * math.sin(r), y - c * math.cos(r))
assert approx(f1) == (x + c * math.sin(r), y + c * math.cos(r))
def test_vertical_ellipse(self):
x, y, a, b, r = 10, 20, 10, 5, math.pi / 2
f0, f1 = ret._ellipse_centre_to_focus(x, y, a, b, r)
c = math.sqrt(a ** 2 - b ** 2)
assert f0 == (x, y + c)
assert f1 == (x, y - c)
def test_horizontal_ellipse(self):
x, y, a, b, r = 10, 20, 20, 10, 0
f0, f1 = ret._ellipse_centre_to_focus(x, y, a, b, r)
c = math.sqrt(a ** 2 - b ** 2)
assert f0 == (x + c, y)
assert f1 == (x - c, y)
def test_circle(self):
x, y, a, b, r = 10, 20, 10, 10, 0
f0, f1 = ret._ellipse_centre_to_focus(x, y, a, b, r)
assert f0 == (x, y)
assert f1 == (x, y)
