def __add__(self, other):
if not isinstance(other, (AlgebraicFraction, Polynomial)):
raise TypeError("Only sum between AlgebraicFraction or Polynomial "
"instances is allowed.")
elif isinstance(other, Polynomial):
other = AlgebraicFraction(other)
multiple = lcm(self._denominator, other._denominator)
num1 = self._numerator * multiple / self._denominator
num2 = other._numerator * multiple / other._denominator
return AlgebraicFraction(num1 + num2, multiple)
def test_lcm(self):
self.assertEqual(lcm(0, 0), 0)
self.assertEqual(lcm(5, 0), 0)
self.assertEqual(lcm(0, 5), 0)
self.assertEqual(lcm(5, 5), 5)
self.assertEqual(lcm(5, 1), 5)
self.assertEqual(lcm(5, 0), 0)
self.assertEqual(lcm(33, 121), 363)
self.assertEqual(lcm(256, 160), 1280)
self.assertEqual(lcm(256, -160), 1280)
self.assertEqual(lcm(-256, 160), 1280)
self.assertEqual(lcm(-256, -160), 1280)
self.assertEqual(lcm(Polynomial("x2 - 2x + 1"),
Polynomial("x2 - 3x + 2")),
Polynomial("x - 1") ** 2 * "x - 2")
self.assertEqual(lcm(Polynomial("120x2y4z7t"), Polynomial("24xy5zhg")),
Polynomial("120x2y5z7hgt"))
self.assertEqual(lcm(4, Polynomial("2x2 - 2x + 2")),
Polynomial("4x2 - 4x + 4"))
self.assertEqual(lcm(Polynomial("4"), Polynomial("2x2 - 2x + 2")),
Polynomial("4x2 - 4x + 4"))
self.assertEqual(lcm(fractions.Fraction(3, 2),
fractions.Fraction(21, 6)),
fractions.Fraction(21, 2))
self.assertEqual(lcm(1.2, 4.6), fractions.Fraction(138, 5))
self.assertEqual(lcm(1j, 2), 2j)
self.assertEqual(lcm(fractions.Fraction(4, 2), 6), 6)
self.assertEqual(lcm(2.0, 6), 6)
self.assertEqual(lcm(-2.0, 6), 6)
self.assertEqual(lcm(fractions.Fraction(4),
Polynomial("2x2 - 2x + 2")),
Polynomial("4x2 - 4x + 4"))
self.assertEqual(lcm(Polynomial("x - 2"), Polynomial("x")),
Polynomial("x2 - 2x"))
self.assertEqual(lcm(32, 24, 54, 36), 864)
self.assertEqual(lcm(*(2 * x for x in range_(10))), 0)
self.assertEqual(lcm(*(2 * x for x in range_(1, 10))), 5040)
#self.assertEqual(lcm(Polynomial("x - 2") * "x - 1",
# Polynomial("x - 1") ** 2,
# Polynomial("y") * "x - 1",
# Polynomial("x - 1")),
# Polynomial("x - 1") ** 3 * "x - 2" * "y")
#self.assertEqual(lcm(Polynomial("2x - 4") * "x - 1",
# Polynomial("x - 1") ** 2 * 6,
# Polynomial("4y") * "x",
# Polynomial("2x - 2"),
# -2,
# fractions.Fraction(16, 4),
# 8.0,
# 16),
# Polynomial("x-1") ** 4 * "x-2" * "xy" * 3 * 2 ** 14)
self.assertRaises(TypeError, lcm, "3", 6)
self.assertRaises(TypeError, lcm, 3, "6")
self.assertRaises(TypeError, lcm, [3], "6")
self.assertRaises(TypeError, lcm, 3, 6, [])
self.assertRaises(TypeError, lcm, 3, 6, 9, 18, "")
self.assertRaises(TypeError, lcm, 3)
self.assertRaises(TypeError, lcm)
self.assertRaises(TypeError, lcm, 3, 6, pippo=3)
