def test_all(self):
self.assertTrue(
self.disc4.is_touching(self.disc5, precision=self.PRECISION))
self.assertFalse(
self.disc1.is_touching(self.disc2, precision=self.PRECISION))
disc2 = Disc(Center(-1, -1), 3)
(disc5, disc6) = disc2.inscribe_discs()
self.assertEqual(str(disc5), "(x-3.00)**2 + (y-5.00)**2 = 4.00")
self.assertEqual(str(disc6), "(x-7.00)**2 + (y-5.00)**2 = 4.00")
self.assertEqual(str(disc2), "(x-5.00)**2 + (y-5.00)**2 = 36.00")
disc2.transform_disc(-2)
self.assertEqual(str(disc2), "(x-5.00)**2 + (y-5.00)**2 = 16.00")
# Transformed disc is a new object
disc = disc2.transformed_disc(2)
self.assertIsinstance(disc, Disc)
self.assertEqual(str(disc2), "(x-5.00)**2 + (y-5.00)**2 = 16.00")
self.assertEqual(str(disc), "(x-5.00)**2 + (y-5.00)**2 = 36.00")
def testDiscClass():
print('Testing Disc class...', end='')
# Disc have two main properties:
# center of disc and the radius of disc.
# A Disc objects convert to a printable string as:
assert str(Disc(Center(1, 1), 3)) == "(x-1.00)**2 + (y-1.00)**2 = 9.00"
assert str(Disc(Center(5, 5), 4)) == "(x-5.00)**2 + (y-5.00)**2 = 16.00"
assert str(Disc(Center(0, 3), 1)) == "(x)**2 + (y-3.00)**2 = 1.00"
assert str(Disc(Center(0, 0), 2)) == "(x)**2 + (y)**2 = 4.00"
assert str(Disc(Center(0, 1), 1)) == "(x)**2 + (y-1.00)**2 = 1.00"
assert str(Disc(Center(1, 4), 1)) == "(x-1.00)**2 + (y-4.00)**2 = 1.00"
# A Disc objects convert to a printable string as:
assert str(Center(1, 4)) == "Center is x=1, y=4"
disc1 = Disc(Center(1, 1), 3)
assert str(disc1) == "(x-1.00)**2 + (y-1.00)**2 = 9.00"
assert disc1.radius == 3
assert isinstance(disc1.radius, int)
assert disc1.center == (1, 1)
disc2 = Disc(Center(5, 5), 4)
assert str(disc2) == "(x-5.00)**2 + (y-5.00)**2 = 16.00"
assert disc2.radius == 4
assert disc2.center == (5, 5)
# Whether the discs are touching
assert Disc(Center(0, 1), 1).is_touching(Disc(Center(0, 0), 2),
precision=PRECISION)
assert not disc1.is_touching(disc2, precision=PRECISION)
# inscribe_discs returns the two disks of the same radius
# that inscribed in the given disc, are touching and
# one coordinate coincides
(disc5, disc6) = disc2.inscribe_discs()
assert str(disc5) == "(x-3.00)**2 + (y-5.00)**2 = 4.00"
assert str(disc6) == "(x-7.00)**2 + (y-5.00)**2 = 4.00"
assert disc5.is_touching(disc6, precision=PRECISION)
# We can transform disc
disc2.transform_disc(2)
assert str(disc2) == "(x-5.00)**2 + (y-5.00)**2 = 36.00"
disc2.transform_disc(-2)
assert str(disc2) == "(x-5.00)**2 + (y-5.00)**2 = 16.00"
# Transformed disc is a new object
disc = disc2.transformed_disc(2)
assert isinstance(disc, Disc)
assert str(disc2) == "(x-5.00)**2 + (y-5.00)**2 = 16.00"
assert str(disc) == "(x-5.00)**2 + (y-5.00)**2 = 36.00"
# We should be able to test disc for basic functionality
assert Disc(Center(5, 5), 5) == Disc(Center(5, 5), 5)
assert Disc(Center(4, 4), 5) != Disc(Center(1, 3), 3)
assert Disc(Center(4, 4), 5) != "don't crash here!"
disc_set = set()
assert Disc(Center(1, 2), 3) not in disc_set
disc_set.add(Disc(Center(1, 2), 3))
assert Disc(Center(1, 2), 3) in disc_set
disc_set.remove(Disc(Center(1, 2), 3))
assert Disc(Center(1, 2), 3) not in disc_set
discx = Disc.fromstring('2 3 5')
assert str(discx) == "(x-2.00)**2 + (y-3.00)**2 = 25.00"
# If two discs are superimposed, the lens forms and
# can be calculated its parameters - four point:
# two disc centers and two disk intersection points
((x4, y4), (x3, y3), (x2, y2),
(x1, y1)) = disc1.lens_creation(disc2, precision=PRECISION)
# (1, 1) (5, 5) (1.13, 4.00) (4.00, 1.13)
# assert math.isclose(x4, disc1.center[0]) and math.isclose(y4,
# disc1.center[1])
# assert math.isclose(x3, disc2.center[0]) and math.isclose(y3,
# disc2.center[0])
# assert math.isclose(x1, 4.00) and math.isclose(y1, 1.13)
# assert math.isclose(x2, 1.13) and math.isclose(y2, 4.00)
#
# disc3 = Disc(Center(0, 3), 1)
# disc4 = Disc(Center(0, 0), 2)
# (x, y) = disc3.lens_creation(disc4, precision=PRECISION) # (0, 2)
# assert math.isclose(x, 0) and math.isclose(y, 2)
# (x, y) = disc5.lens_creation(disc6, precision=PRECISION) # (5, 5)
# assert math.isclose(x, 5) and math.isclose(y, 5)
#
# # If the disks are coincident then the lens is not formed -
# # there are an infinite number of common points
#
# assert Disc(Center(2, 2), 3).lens_creation(Disc(Center(2, 2), 3),
# precision=PRECISION) == math.inf
#
# # The discs are separate and the lens is not formed
# assert Disc(Center(1, 4), 1).lens_creation(Disc(Center(2, -1), 2),
# precision=PRECISION) is None
print('Passed.')