def test_fraction_lessthan(self) -> None:
""" test function to check Fraction less than """
f12: "Fraction" = Fraction(1, 2)
f34: "Fraction" = Fraction(3, 4)
f44: "Fraction" = Fraction(4, 4)
self.assertLess(f12, f44)
self.assertTrue(f12 < f44)
def test_fraction_add(self) -> None:
""" test function for Fraction addition """
f12: "Fraction" = Fraction(1, 2)
f34: "Fraction" = Fraction(3, 4)
self.assertEqual(f12 + f34, Fraction(10, 8))
self.assertLess(f12 + f34, Fraction(11, 8))
self.assertGreater(f12 + f34, Fraction(9, 8))
def test_fraction_notequal(self) -> None:
""" test function to check Fraction inequality"""
f12: "Fraction" = Fraction(1, 2)
f45: "Fraction" = Fraction(4, 5)
f34: "Fraction" = Fraction(3, 4)
self.assertFalse(f12 == f45)
self.assertTrue(f12 != f34)
def test_fraction_equal(self) -> None:
""" test function to verify Fraction equality"""
f12: "Fraction" = Fraction(1, 2)
f24: "Fraction" = Fraction(2, 4)
f34: "Fraction" = Fraction(3, 4)
f48: "Fraction" = Fraction(4, 8)
self.assertTrue(f12 == f24 == f48)
self.assertFalse(f48 == f34)
def test_fraction_sub(self) -> None:
""" test function to test Fraction subtraction with more than two fractions"""
f12: "Fraction" = Fraction(1, 2)
f34: "Fraction" = Fraction(3, 4)
self.assertEqual(f12 - f34, Fraction(-4, 16))
self.assertEqual(f12 - f12 - f12, Fraction(-4, 8))
self.assertNotEqual(f12 - f34 - f12, Fraction(-1, 16))
self.assertEqual(f34, Fraction(3, 4))
def test_fraction_mul(self) -> None:
""" test Fraction multiply with more than two fractions"""
f12: "Fraction" = Fraction(1, 2)
f34: "Fraction" = Fraction(3, 4)
f44: "Fraction" = Fraction(4, 4)
self.assertEqual(f44 * f44 * f12, Fraction(50, 100))
self.assertEqual(f12 + f34 * f44, Fraction(125, 100))
self.assertLess(f12 + f34 * f44, Fraction(1, 2))
def test_fraction_greaterthanequal(self) -> None:
""" This function verifies Fraction greater than equal to """
f12: "Fraction" = Fraction(1, 2)
f44: "Fraction" = Fraction(4, 4)
self.assertGreaterEqual(f44, f12)
def test_fraction_greaterthan(self) -> None:
""" test function check Fraction greater than """
f12: "Fraction" = Fraction(1, 2)
f44: "Fraction" = Fraction(4, 4)
self.assertGreater(f44, f12)
def test_fraction_lessthanequal(self) -> None:
""" test function check Fraction less than equal to """
f12: "Fraction" = Fraction(1, 2)
f44: "Fraction" = Fraction(4, 4)
self.assertLessEqual(f12, f44)
self.assertLessEqual(f12, f12)
def test_init(self) -> None:
""" function verifies that the numerator and denominator are set properly """
f34: "Fraction" = Fraction(3, 4)
self.assertEqual(f34.num, 3)
self.assertEqual(f34.denom, 4)
def test_fraction_div(self) -> None:
""" test function to verify Fraction division with more than 2 fractions"""
f12: "Fraction" = Fraction(1, 2)
f34: "Fraction" = Fraction(3, 4)
self.assertEqual(f12 / f34 / f12, Fraction(8, 6))
self.assertNotEqual(f12 / f12, Fraction(8, 6))
def test_fraction_mul(self) -> None:
""" test function to verify Fraction multiplication with more than two fractions"""
f12: "Fraction" = Fraction(1, 2)
f34: "Fraction" = Fraction(3, 4)
self.assertNotEqual(f12 * f12 * f34, Fraction(3, 8))
self.assertEqual(f12 * f12 * f34, Fraction(3, 16))
def test_init_exception(self) -> None:
with self.assertRaises(ValueError, msg="Invalid denominator"):
f60: "Fraction" = Fraction(6, 0)
def test_str(self) -> None:
""" Test function to test the str representation of Fraction"""
f12: "Fraction" = Fraction(1, 2)
self.assertEqual(str(f12), "1/2")
def test_simplify(self):
"""
test fractions for simplification
"""
str1 = Fraction(100, 50).simplify().__str__()
str2 = Fraction(2, 1).simplify().__str__()
self.assertEqual(str1, str2)
# negative numerators
str3 = Fraction(-100, 50).simplify().__str__()
str4 = Fraction(-2, 1).simplify().__str__()
self.assertEqual(str3, str4)
# negative denominator
str5 = Fraction(100, -50).simplify().__str__()
str6 = Fraction(2, -1).simplify().__str__()
self.assertEqual(str5, str6)
#fractions with both negative numbers
str7 = Fraction(-100, -50).simplify().__str__()
str8 = Fraction(2, 1).simplify().__str__()
self.assertEqual(str7, str8)
# fractions for false cases
str9 = Fraction(100, 50).simplify().__str__()
str10 = Fraction(2, 3).simplify().__str__()
self.assertNotEqual(str9, str10)
# fractions for false cases
str11 = Fraction(100, 50).simplify().__str__()
str12 = Fraction(-2, 1).simplify().__str__()
self.assertNotEqual(str11, str12)
# Testing fractions for false cases
str13 = Fraction(-100, 50).simplify().__str__()
str14 = Fraction(-2, -1).simplify().__str__()
self.assertNotEqual(str13, str14)