def test_虚部の条件(self):
with self.subTest("実部は整数以外の型であってはならない"):
self.assertRaises(ImaginaryPartConditionError,
lambda: PurelyImaginaryNumber("1"))
with self.subTest("実部は0であってはならない"):
self.assertRaises(ImaginaryPartConditionError,
lambda: PurelyImaginaryNumber(0))
def test_2つの純虚数の同一性の判定(self):
with self.subTest("3i と 3i は同一である"):
self.assertEqual(PurelyImaginaryNumber(3),
PurelyImaginaryNumber(3))
with self.subTest("3i と 4i は同一ではない"):
self.assertNotEqual(PurelyImaginaryNumber(3),
PurelyImaginaryNumber(4))
def test_純虚数の生成とその文字列表現(self):
with self.subTest("正常系: 2 -> '2i'"):
self.assertEqual("2i", PurelyImaginaryNumber(2).notation())
with self.subTest("準正常系: 1 -> 'i'"):
self.assertEqual("i", PurelyImaginaryNumber(1).notation())
with self.subTest("準正常系: -1 -> '-i'"):
self.assertEqual("-i", PurelyImaginaryNumber(-1).notation())
def test_check_equality(self):
with self.subTest('check being equal'):
i_4_1 = PurelyImaginaryNumber(MyInt(4))
i_4_2 = PurelyImaginaryNumber(MyInt(4))
self.assertTrue(i_4_1 == i_4_2)
with self.subTest('check not being equal'):
i_4 = PurelyImaginaryNumber(MyInt(4))
i_2 = PurelyImaginaryNumber(MyInt(2))
self.assertFalse(i_4 == i_2)
def test_purely_imaginary_number(self):
with self.subTest('create 4i'):
i_4 = PurelyImaginaryNumber(MyInt(4))
expected = '4i'
actual = str(i_4)
self.assertEqual(expected, actual)
with self.subTest('create -2i'):
minus_i_2 = PurelyImaginaryNumber(MyInt(-2))
expected = '-2i'
actual = str(minus_i_2)
self.assertEqual(expected, actual)
def test_purely_imaginary_number_with_1(self):
with self.subTest('create i'):
i_1 = PurelyImaginaryNumber(MyInt(1))
expected = 'i'
actual = str(i_1)
self.assertEqual(expected, actual)
with self.subTest('create -i'):
minus_i_1 = PurelyImaginaryNumber(MyInt(-1))
expected = '-i'
actual = str(minus_i_1)
self.assertEqual(expected, actual)
def test_conjugate(self):
with self.subTest('check 4'):
i_4 = PurelyImaginaryNumber(MyInt(4))
minus_i_4 = PurelyImaginaryNumber(MyInt(-4))
self.assertTrue(i_4.is_conjugate_to(minus_i_4))
with self.subTest('check 1'):
i_1 = PurelyImaginaryNumber(MyInt(1))
minus_i_1 = PurelyImaginaryNumber(MyInt(-1))
self.assertTrue(i_1.is_conjugate_to(minus_i_1))
def test_共役な純虚数(self):
with self.subTest("正常系: 3i と共役な純虚数は -3i"):
self.assertEqual(PurelyImaginaryNumber(-3),
PurelyImaginaryNumber(3).to_conjugate())
with self.subTest("準正常系: i と共役な純虚数は -i"):
self.assertEqual(PurelyImaginaryNumber(-1),
PurelyImaginaryNumber(1).to_conjugate())
with self.subTest("準正常系: -i と共役な純虚数は i"):
self.assertEqual(PurelyImaginaryNumber(1),
PurelyImaginaryNumber(-1).to_conjugate())
class ImaginaryNumber:
def __init__(self, real_part: int, imaginary_part: int):
self.real_part = RealNumber(real_part)
self.imaginary_part = PurelyImaginaryNumber(imaginary_part)
def __eq__(self, other: ImaginaryNumber) -> bool:
return (self.real_part
== other.real_part) and (self.imaginary_part
== other.imaginary_part)
def notation(self) -> str:
if self.imaginary_part.value > 0:
return f"{self.real_part.value} + {self.imaginary_part.notation()}"
if self.imaginary_part.value < 0:
return f"{self.real_part.value} - {self.imaginary_part.to_conjugate().notation()}"
def to_conjugate(self) -> ImaginaryNumber:
return ImaginaryNumber(self.real_part.value,
self.imaginary_part.to_conjugate().value)
def __init__(self, real_part: int, imaginary_part: int):
self.real_part = RealNumber(real_part)
self.imaginary_part = PurelyImaginaryNumber(imaginary_part)
def test_raise_zero_error(self):
with self.assertRaises(ValueError):
PurelyImaginaryNumber(MyInt(0))