def test_exponential_of_a_purely_real_number(self):
input_number = ComplexNumber(1, 0)
expected = ComplexNumber(math.e, 0)
actual = input_number.exp()
self.assertAlmostEqual(actual.real, expected.real)
self.assertAlmostEqual(actual.imaginary, expected.imaginary)
def test_exponential_of_a_number_with_real_and_imaginary_part(self):
input_number = ComplexNumber(math.log(2), math.pi)
expected = ComplexNumber(-2, 0)
actual = input_number.exp()
self.assertAlmostEqual(actual.real, expected.real)
self.assertAlmostEqual(actual.imaginary, expected.imaginary)
def test_exponential_of_0(self):
input_number = ComplexNumber(0, 0)
expected = ComplexNumber(1, 0)
self.assertEqual(input_number.exp().real, expected.real)
self.assertEqual(input_number.exp().imaginary, expected.imaginary)
def test_eulers_identity_formula(self):
input_number = ComplexNumber(0, math.pi)
expected = ComplexNumber(-1, 0)
actual = input_number.exp()
self.assertAlmostEqual(actual.real, expected.real)
self.assertAlmostEqual(actual.imaginary, expected.imaginary)
def test_exponential_of_a_number_with_real_and_imaginary_part(self):
input_number = ComplexNumber(math.log(2), math.pi)
expected = ComplexNumber(-2, 0)
actual = input_number.exp()
self.assertAlmostEqual(actual.real, expected.real)
self.assertAlmostEqual(actual.imaginary, expected.imaginary)
def test_eulers_identity_formula(self):
input_number = ComplexNumber(0, math.pi)
expected = ComplexNumber(-1, 0)
actual = input_number.exp()
self.assertAlmostEqual(actual.real, expected.real)
self.assertAlmostEqual(actual.imaginary, expected.imaginary)
def test_exponential_of_a_purely_real_number(self):
input_number = ComplexNumber(1, 0)
expected = ComplexNumber(math.e, 0)
self.assertEqual(expected.real, input_number.exp().real)
self.assertEqual(expected.imaginary, input_number.exp().imaginary)
def test_exponential_of_a_purely_real_number(self):
input_number = ComplexNumber(1, 0)
expected = ComplexNumber(math.e, 0)
actual = input_number.exp()
self.assertAlmostEqual(actual.real, expected.real)
self.assertAlmostEqual(actual.imaginary, expected.imaginary)
def test_eulers_identity_formula(self):
input_number = ComplexNumber(0, math.pi)
expected = ComplexNumber(-1, 0)
self.assertEqual(expected.real, input_number.exp().real)
self.assertEqual(expected.imaginary, input_number.exp().imaginary)
def test_exponential_of_a_number_with_real_and_imaginary_part(self):
input_number = ComplexNumber(math.log(2), math.pi)
expected = ComplexNumber(-2, 0)
self.assertEqual(input_number.exp(), expected)
def test_exponential_of_a_purely_real_number(self):
input_number = ComplexNumber(1, 0)
expected = ComplexNumber(math.e, 0)
self.assertEqual(input_number.exp(), expected)
def test_exponential_of_0(self):
input_number = ComplexNumber(0, 0)
expected = ComplexNumber(1, 0)
self.assertEqual(input_number.exp(), expected)
def test_eulers_identity_formula(self):
input_number = ComplexNumber(0, math.pi)
expected = ComplexNumber(-1, 0)
self.assertEqual(input_number.exp(), expected)
