|
5 | 5 | from complex_numbers import ComplexNumber |
6 | 6 |
|
7 | 7 |
|
8 | | -class ComplexNumbersTest(unittest.TestCase): |
9 | | - |
10 | | - def test_real_part_of_a_purely_real_number(self): |
11 | | - input_number = ComplexNumber(1, 0) |
12 | | - self.assertEqual(input_number.real, 1) |
13 | | - |
14 | | - def test_real_part_of_a_purely_imaginary_number(self): |
15 | | - input_number = ComplexNumber(0, 1) |
16 | | - self.assertEqual(input_number.real, 0) |
17 | | - |
18 | | - def test_real_part_of_a_number_with_real_and_imaginary_part(self): |
19 | | - input_number = ComplexNumber(1, 2) |
20 | | - self.assertEqual(input_number.real, 1) |
| 8 | +# Tests adapted from `problem-specifications//canonical-data.json` @ v1.0.0 |
21 | 9 |
|
22 | | - def test_imaginary_part_of_a_purely_real_number(self): |
23 | | - input_number = ComplexNumber(1, 0) |
24 | | - self.assertEqual(input_number.imaginary, 0) |
25 | 10 |
|
26 | | - def test_imaginary_part_of_a_purely_imaginary_number(self): |
27 | | - input_number = ComplexNumber(0, 1) |
28 | | - self.assertEqual(input_number.imaginary, 1) |
29 | | - |
30 | | - def test_maginary_part_of_a_number_with_real_and_imaginary_part(self): |
31 | | - input_number = ComplexNumber(1, 2) |
32 | | - self.assertEqual(input_number.imaginary, 2) |
| 11 | +class ComplexNumbersTest(unittest.TestCase): |
33 | 12 |
|
34 | 13 | def test_add_purely_real_numbers(self): |
35 | 14 | first_input = ComplexNumber(1, 0) |
36 | | - second_input = ComplexNumber(3, 0) |
37 | | - self.assertEqual(first_input.add(second_input).real, 4) |
| 15 | + second_input = ComplexNumber(2, 0) |
| 16 | + self.assertEqual(first_input.add(second_input).real, 3) |
38 | 17 | self.assertEqual(first_input.add(second_input).imaginary, 0) |
39 | 18 |
|
40 | 19 | def test_add_purely_imaginary_numbers(self): |
41 | 20 | first_input = ComplexNumber(0, 1) |
42 | | - second_input = ComplexNumber(0, 3) |
| 21 | + second_input = ComplexNumber(0, 2) |
43 | 22 | self.assertEqual(first_input.add(second_input).real, 0) |
44 | | - self.assertEqual(first_input.add(second_input).imaginary, 4) |
| 23 | + self.assertEqual(first_input.add(second_input).imaginary, 3) |
45 | 24 |
|
46 | 25 | def test_add_numbers_with_real_and_imaginary_part(self): |
47 | 26 | first_input = ComplexNumber(1, 2) |
48 | | - second_input = ComplexNumber(4, 6) |
49 | | - self.assertEqual(first_input.add(second_input).real, 5) |
50 | | - self.assertEqual(first_input.add(second_input).imaginary, 8) |
| 27 | + second_input = ComplexNumber(3, 4) |
| 28 | + self.assertEqual(first_input.add(second_input).real, 4) |
| 29 | + self.assertEqual(first_input.add(second_input).imaginary, 6) |
51 | 30 |
|
52 | 31 | def test_subtract_purely_real_numbers(self): |
53 | 32 | first_input = ComplexNumber(1, 0) |
54 | | - second_input = ComplexNumber(-1, 0) |
55 | | - self.assertEqual(first_input.sub(second_input).real, 2) |
| 33 | + second_input = ComplexNumber(2, 0) |
| 34 | + self.assertEqual(first_input.sub(second_input).real, -1) |
56 | 35 | self.assertEqual(first_input.sub(second_input).imaginary, 0) |
57 | 36 |
|
| 37 | + def test_subtract_purely_imaginary_numbers(self): |
| 38 | + first_input = ComplexNumber(0, 1) |
| 39 | + second_input = ComplexNumber(0, 2) |
| 40 | + self.assertEqual(first_input.sub(second_input).real, 0) |
| 41 | + self.assertEqual(first_input.sub(second_input).imaginary, -1) |
| 42 | + |
58 | 43 | def test_subtract_numbers_with_real_and_imaginary_part(self): |
59 | 44 | first_input = ComplexNumber(1, 2) |
60 | | - second_input = ComplexNumber(-2, -2) |
61 | | - self.assertEqual(first_input.sub(second_input).real, 3) |
62 | | - self.assertEqual(first_input.sub(second_input).imaginary, 4) |
| 45 | + second_input = ComplexNumber(3, 4) |
| 46 | + self.assertEqual(first_input.sub(second_input).real, -2) |
| 47 | + self.assertEqual(first_input.sub(second_input).imaginary, -2) |
63 | 48 |
|
64 | 49 | def test_multiply_purely_real_numbers(self): |
65 | 50 | first_input = ComplexNumber(1, 0) |
66 | 51 | second_input = ComplexNumber(2, 0) |
67 | 52 | self.assertEqual(first_input.mul(second_input).real, 2) |
68 | 53 | self.assertEqual(first_input.mul(second_input).imaginary, 0) |
69 | 54 |
|
| 55 | + def test_multiply_purely_imaginary_numbers(self): |
| 56 | + first_input = ComplexNumber(0, 1) |
| 57 | + second_input = ComplexNumber(0, 2) |
| 58 | + self.assertEqual(first_input.mul(second_input).real, -2) |
| 59 | + self.assertEqual(first_input.mul(second_input).imaginary, 0) |
| 60 | + |
70 | 61 | def test_multiply_numbers_with_real_and_imaginary_part(self): |
71 | 62 | first_input = ComplexNumber(1, 2) |
72 | | - second_input = ComplexNumber(-5, 10) |
73 | | - self.assertEqual(first_input.mul(second_input).real, -25) |
74 | | - self.assertEqual(first_input.mul(second_input).imaginary, 0) |
| 63 | + second_input = ComplexNumber(3, 4) |
| 64 | + self.assertEqual(first_input.mul(second_input).real, -5) |
| 65 | + self.assertEqual(first_input.mul(second_input).imaginary, 10) |
75 | 66 |
|
76 | 67 | def test_divide_purely_real_numbers(self): |
77 | 68 | input_number = ComplexNumber(1.0, 0.0) |
78 | 69 | expected = ComplexNumber(0.5, 0.0) |
79 | 70 | divider = ComplexNumber(2.0, 0.0) |
80 | | - self.assertEqual(expected.real, input_number.div(divider).real) |
81 | | - self.assertEqual(expected.imaginary, |
82 | | - input_number.div(divider).imaginary) |
| 71 | + self.assertEqual(input_number.div(divider).real, expected.real) |
| 72 | + self.assertEqual(input_number.div(divider).imaginary, |
| 73 | + expected.imaginary) |
83 | 74 |
|
84 | 75 | def test_divide_purely_imaginary_numbers(self): |
85 | 76 | input_number = ComplexNumber(0, 1) |
86 | 77 | expected = ComplexNumber(0.5, 0) |
87 | 78 | divider = ComplexNumber(0, 2) |
88 | | - self.assertEqual(expected.real, input_number.div(divider).real) |
89 | | - self.assertEqual(expected.imaginary, |
90 | | - input_number.div(divider).imaginary) |
| 79 | + self.assertEqual(input_number.div(divider).real, expected.real) |
| 80 | + self.assertEqual(input_number.div(divider).imaginary, |
| 81 | + expected.imaginary) |
91 | 82 |
|
92 | 83 | def test_divide_numbers_with_real_and_imaginary_part(self): |
93 | 84 | input_number = ComplexNumber(1, 2) |
94 | 85 | expected = ComplexNumber(0.44, 0.08) |
95 | 86 | divider = ComplexNumber(3, 4) |
96 | | - self.assertEqual(expected.real, input_number.div(divider).real) |
97 | | - self.assertEqual(expected.imaginary, |
98 | | - input_number.div(divider).imaginary) |
| 87 | + self.assertEqual(input_number.div(divider).real, expected.real) |
| 88 | + self.assertEqual(input_number.div(divider).imaginary, |
| 89 | + expected.imaginary) |
99 | 90 |
|
100 | 91 | def test_absolute_value_of_a_positive_purely_real_number(self): |
101 | 92 | self.assertEqual(ComplexNumber(5, 0).abs(), 5) |
102 | 93 |
|
103 | 94 | def test_absolute_value_of_a_negative_purely_real_number(self): |
104 | 95 | self.assertEqual(ComplexNumber(-5, 0).abs(), 5) |
105 | 96 |
|
106 | | - def test_absolute_value_of_imaginary_number_negative_imaginary_part(self): |
107 | | - self.assertEqual(ComplexNumber(0, -5).abs(), 5) |
108 | | - |
109 | 97 | def test_absolute_value_of_imaginary_number_positive_imaginary_part(self): |
110 | 98 | self.assertEqual(ComplexNumber(0, 5).abs(), 5) |
111 | 99 |
|
| 100 | + def test_absolute_value_of_imaginary_number_negative_imaginary_part(self): |
| 101 | + self.assertEqual(ComplexNumber(0, -5).abs(), 5) |
| 102 | + |
112 | 103 | def test_absolute_value_of_a_number_with_real_and_imaginary_part(self): |
113 | 104 | self.assertEqual(ComplexNumber(3, 4).abs(), 5) |
114 | 105 |
|
115 | 106 | def test_conjugate_a_purely_real_number(self): |
116 | 107 | input_number = ComplexNumber(5, 0) |
117 | 108 | expected = ComplexNumber(5, 0) |
118 | | - self.assertEqual(expected.real, input_number.conjugate().real) |
119 | | - self.assertEqual(expected.imaginary, |
120 | | - input_number.conjugate().imaginary) |
| 109 | + self.assertEqual(input_number.conjugate().real, expected.real) |
| 110 | + self.assertEqual(input_number.conjugate().imaginary, |
| 111 | + expected.imaginary) |
121 | 112 |
|
122 | 113 | def test_conjugate_a_purely_imaginary_number(self): |
123 | 114 | input_number = ComplexNumber(0, 5) |
124 | 115 | expected = ComplexNumber(0, -5) |
125 | | - self.assertEqual(expected.real, input_number.conjugate().real) |
126 | | - self.assertEqual(expected.imaginary, |
127 | | - input_number.conjugate().imaginary) |
| 116 | + self.assertEqual(input_number.conjugate().real, expected.real) |
| 117 | + self.assertEqual(input_number.conjugate().imaginary, |
| 118 | + expected.imaginary) |
128 | 119 |
|
129 | | - def conjugate_a_number_with_real_and_imaginary_part(self): |
| 120 | + def test_conjugate_a_number_with_real_and_imaginary_part(self): |
130 | 121 | input_number = ComplexNumber(1, 1) |
131 | 122 | expected = ComplexNumber(1, -1) |
132 | | - self.assertEqual(expected.real, input_number.conjugate().real) |
133 | | - self.assertEqual(expected.imaginary, |
134 | | - input_number.conjugate().imaginary) |
| 123 | + self.assertEqual(input_number.conjugate().real, expected.real) |
| 124 | + self.assertEqual(input_number.conjugate().imaginary, |
| 125 | + expected.imaginary) |
| 126 | + |
| 127 | + def test_real_part_of_a_purely_real_number(self): |
| 128 | + input_number = ComplexNumber(1, 0) |
| 129 | + self.assertEqual(input_number.real, 1) |
| 130 | + |
| 131 | + def test_real_part_of_a_purely_imaginary_number(self): |
| 132 | + input_number = ComplexNumber(0, 1) |
| 133 | + self.assertEqual(input_number.real, 0) |
| 134 | + |
| 135 | + def test_real_part_of_a_number_with_real_and_imaginary_part(self): |
| 136 | + input_number = ComplexNumber(1, 2) |
| 137 | + self.assertEqual(input_number.real, 1) |
| 138 | + |
| 139 | + def test_imaginary_part_of_a_purely_real_number(self): |
| 140 | + input_number = ComplexNumber(1, 0) |
| 141 | + self.assertEqual(input_number.imaginary, 0) |
| 142 | + |
| 143 | + def test_imaginary_part_of_a_purely_imaginary_number(self): |
| 144 | + input_number = ComplexNumber(0, 1) |
| 145 | + self.assertEqual(input_number.imaginary, 1) |
| 146 | + |
| 147 | + def test_imaginary_part_of_a_number_with_real_and_imaginary_part(self): |
| 148 | + input_number = ComplexNumber(1, 2) |
| 149 | + self.assertEqual(input_number.imaginary, 2) |
135 | 150 |
|
136 | 151 | def test_eulers_identity_formula(self): |
137 | 152 | input_number = ComplexNumber(0, math.pi) |
138 | 153 | expected = ComplexNumber(-1, 0) |
139 | | - self.assertEqual(expected.real, input_number.exp().real) |
140 | | - self.assertEqual(expected.imaginary, input_number.exp().imaginary) |
| 154 | + self.assertEqual(input_number.exp().real, expected.real) |
| 155 | + self.assertEqual(input_number.exp().imaginary, expected.imaginary) |
141 | 156 |
|
142 | 157 | def test_exponential_of_0(self): |
143 | 158 | input_number = ComplexNumber(0, 0) |
144 | 159 | expected = ComplexNumber(1, 0) |
145 | | - self.assertEqual(expected.real, input_number.exp().real) |
146 | | - self.assertEqual(expected.imaginary, input_number.exp().imaginary) |
| 160 | + self.assertEqual(input_number.exp().real, expected.real) |
| 161 | + self.assertEqual(input_number.exp().imaginary, expected.imaginary) |
147 | 162 |
|
148 | 163 | def test_exponential_of_a_purely_real_number(self): |
149 | 164 | input_number = ComplexNumber(1, 0) |
150 | 165 | expected = ComplexNumber(math.e, 0) |
151 | | - self.assertEqual(expected.real, input_number.exp().real) |
152 | | - self.assertEqual(expected.imaginary, input_number.exp().imaginary) |
| 166 | + self.assertEqual(input_number.exp().real, expected.real) |
| 167 | + self.assertEqual(input_number.exp().imaginary, expected.imaginary) |
153 | 168 |
|
154 | 169 |
|
155 | 170 | if __name__ == '__main__': |
|
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