1
exercism fetch csharp complex-numbers

ComplexNumbersTest.cs

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
// This file was auto-generated based on version 1.0.0 of the canonical data.

using Xunit;
using System;

public class ComplexNumbersTest
{
    [Fact]
    public void Real_part_of_a_purely_real_number()
    {
        var sut = new ComplexNumber(1, 0);
        Assert.Equal(1, sut.Real());
    }

    [Fact(Skip = "Remove to run test")]
    public void Real_part_of_a_purely_imaginary_number()
    {
        var sut = new ComplexNumber(0, 1);
        Assert.Equal(0, sut.Real());
    }

    [Fact(Skip = "Remove to run test")]
    public void Real_part_of_a_number_with_real_and_imaginary_part()
    {
        var sut = new ComplexNumber(1, 2);
        Assert.Equal(1, sut.Real());
    }

    [Fact(Skip = "Remove to run test")]
    public void Imaginary_part_of_a_purely_real_number()
    {
        var sut = new ComplexNumber(1, 0);
        Assert.Equal(0, sut.Imaginary());
    }

    [Fact(Skip = "Remove to run test")]
    public void Imaginary_part_of_a_purely_imaginary_number()
    {
        var sut = new ComplexNumber(0, 1);
        Assert.Equal(1, sut.Imaginary());
    }

    [Fact(Skip = "Remove to run test")]
    public void Imaginary_part_of_a_number_with_real_and_imaginary_part()
    {
        var sut = new ComplexNumber(1, 2);
        Assert.Equal(2, sut.Imaginary());
    }

    [Fact(Skip = "Remove to run test")]
    public void Imaginary_unit()
    {
        var sut = new ComplexNumber(0, 1);
        var expected = new ComplexNumber(-1, 0);
        Assert.Equal(expected.Real(), sut.Mul(new ComplexNumber(0, 1)).Real(), precision: 15);
        Assert.Equal(expected.Imaginary(), sut.Mul(new ComplexNumber(0, 1)).Imaginary(), precision: 15);
    }

    [Fact(Skip = "Remove to run test")]
    public void Add_purely_real_numbers()
    {
        var sut = new ComplexNumber(1, 0);
        var expected = new ComplexNumber(3, 0);
        Assert.Equal(expected.Real(), sut.Add(new ComplexNumber(2, 0)).Real(), precision: 15);
        Assert.Equal(expected.Imaginary(), sut.Add(new ComplexNumber(2, 0)).Imaginary(), precision: 15);
    }

    [Fact(Skip = "Remove to run test")]
    public void Add_purely_imaginary_numbers()
    {
        var sut = new ComplexNumber(0, 1);
        var expected = new ComplexNumber(0, 3);
        Assert.Equal(expected.Real(), sut.Add(new ComplexNumber(0, 2)).Real(), precision: 15);
        Assert.Equal(expected.Imaginary(), sut.Add(new ComplexNumber(0, 2)).Imaginary(), precision: 15);
    }

    [Fact(Skip = "Remove to run test")]
    public void Add_numbers_with_real_and_imaginary_part()
    {
        var sut = new ComplexNumber(1, 2);
        var expected = new ComplexNumber(4, 6);
        Assert.Equal(expected.Real(), sut.Add(new ComplexNumber(3, 4)).Real(), precision: 15);
        Assert.Equal(expected.Imaginary(), sut.Add(new ComplexNumber(3, 4)).Imaginary(), precision: 15);
    }

    [Fact(Skip = "Remove to run test")]
    public void Subtract_purely_real_numbers()
    {
        var sut = new ComplexNumber(1, 0);
        var expected = new ComplexNumber(-1, 0);
        Assert.Equal(expected.Real(), sut.Sub(new ComplexNumber(2, 0)).Real(), precision: 15);
        Assert.Equal(expected.Imaginary(), sut.Sub(new ComplexNumber(2, 0)).Imaginary(), precision: 15);
    }

    [Fact(Skip = "Remove to run test")]
    public void Subtract_purely_imaginary_numbers()
    {
        var sut = new ComplexNumber(0, 1);
        var expected = new ComplexNumber(0, -1);
        Assert.Equal(expected.Real(), sut.Sub(new ComplexNumber(0, 2)).Real(), precision: 15);
        Assert.Equal(expected.Imaginary(), sut.Sub(new ComplexNumber(0, 2)).Imaginary(), precision: 15);
    }

    [Fact(Skip = "Remove to run test")]
    public void Subtract_numbers_with_real_and_imaginary_part()
    {
        var sut = new ComplexNumber(1, 2);
        var expected = new ComplexNumber(-2, -2);
        Assert.Equal(expected.Real(), sut.Sub(new ComplexNumber(3, 4)).Real(), precision: 15);
        Assert.Equal(expected.Imaginary(), sut.Sub(new ComplexNumber(3, 4)).Imaginary(), precision: 15);
    }

    [Fact(Skip = "Remove to run test")]
    public void Multiply_purely_real_numbers()
    {
        var sut = new ComplexNumber(1, 0);
        var expected = new ComplexNumber(2, 0);
        Assert.Equal(expected.Real(), sut.Mul(new ComplexNumber(2, 0)).Real(), precision: 15);
        Assert.Equal(expected.Imaginary(), sut.Mul(new ComplexNumber(2, 0)).Imaginary(), precision: 15);
    }

    [Fact(Skip = "Remove to run test")]
    public void Multiply_purely_imaginary_numbers()
    {
        var sut = new ComplexNumber(0, 1);
        var expected = new ComplexNumber(-2, 0);
        Assert.Equal(expected.Real(), sut.Mul(new ComplexNumber(0, 2)).Real(), precision: 15);
        Assert.Equal(expected.Imaginary(), sut.Mul(new ComplexNumber(0, 2)).Imaginary(), precision: 15);
    }

    [Fact(Skip = "Remove to run test")]
    public void Multiply_numbers_with_real_and_imaginary_part()
    {
        var sut = new ComplexNumber(1, 2);
        var expected = new ComplexNumber(-5, 10);
        Assert.Equal(expected.Real(), sut.Mul(new ComplexNumber(3, 4)).Real(), precision: 15);
        Assert.Equal(expected.Imaginary(), sut.Mul(new ComplexNumber(3, 4)).Imaginary(), precision: 15);
    }

    [Fact(Skip = "Remove to run test")]
    public void Divide_purely_real_numbers()
    {
        var sut = new ComplexNumber(1, 0);
        var expected = new ComplexNumber(0.5, 0);
        Assert.Equal(expected.Real(), sut.Div(new ComplexNumber(2, 0)).Real(), precision: 15);
        Assert.Equal(expected.Imaginary(), sut.Div(new ComplexNumber(2, 0)).Imaginary(), precision: 15);
    }

    [Fact(Skip = "Remove to run test")]
    public void Divide_purely_imaginary_numbers()
    {
        var sut = new ComplexNumber(0, 1);
        var expected = new ComplexNumber(0.5, 0);
        Assert.Equal(expected.Real(), sut.Div(new ComplexNumber(0, 2)).Real(), precision: 15);
        Assert.Equal(expected.Imaginary(), sut.Div(new ComplexNumber(0, 2)).Imaginary(), precision: 15);
    }

    [Fact(Skip = "Remove to run test")]
    public void Divide_numbers_with_real_and_imaginary_part()
    {
        var sut = new ComplexNumber(1, 2);
        var expected = new ComplexNumber(0.44, 0.08);
        Assert.Equal(expected.Real(), sut.Div(new ComplexNumber(3, 4)).Real(), precision: 15);
        Assert.Equal(expected.Imaginary(), sut.Div(new ComplexNumber(3, 4)).Imaginary(), precision: 15);
    }

    [Fact(Skip = "Remove to run test")]
    public void Absolute_value_of_a_positive_purely_real_number()
    {
        var sut = new ComplexNumber(5, 0);
        Assert.Equal(5, sut.Abs());
    }

    [Fact(Skip = "Remove to run test")]
    public void Absolute_value_of_a_negative_purely_real_number()
    {
        var sut = new ComplexNumber(-5, 0);
        Assert.Equal(5, sut.Abs());
    }

    [Fact(Skip = "Remove to run test")]
    public void Absolute_value_of_a_purely_imaginary_number_with_positive_imaginary_part()
    {
        var sut = new ComplexNumber(0, 5);
        Assert.Equal(5, sut.Abs());
    }

    [Fact(Skip = "Remove to run test")]
    public void Absolute_value_of_a_purely_imaginary_number_with_negative_imaginary_part()
    {
        var sut = new ComplexNumber(0, -5);
        Assert.Equal(5, sut.Abs());
    }

    [Fact(Skip = "Remove to run test")]
    public void Absolute_value_of_a_number_with_real_and_imaginary_part()
    {
        var sut = new ComplexNumber(3, 4);
        Assert.Equal(5, sut.Abs());
    }

    [Fact(Skip = "Remove to run test")]
    public void Conjugate_a_purely_real_number()
    {
        var sut = new ComplexNumber(5, 0);
        var expected = new ComplexNumber(5, 0);
        Assert.Equal(expected.Real(), sut.Conjugate().Real(), precision: 15);
        Assert.Equal(expected.Imaginary(), sut.Conjugate().Imaginary(), precision: 15);
    }

    [Fact(Skip = "Remove to run test")]
    public void Conjugate_a_purely_imaginary_number()
    {
        var sut = new ComplexNumber(0, 5);
        var expected = new ComplexNumber(0, -5);
        Assert.Equal(expected.Real(), sut.Conjugate().Real(), precision: 15);
        Assert.Equal(expected.Imaginary(), sut.Conjugate().Imaginary(), precision: 15);
    }

    [Fact(Skip = "Remove to run test")]
    public void Conjugate_a_number_with_real_and_imaginary_part()
    {
        var sut = new ComplexNumber(1, 1);
        var expected = new ComplexNumber(1, -1);
        Assert.Equal(expected.Real(), sut.Conjugate().Real(), precision: 15);
        Assert.Equal(expected.Imaginary(), sut.Conjugate().Imaginary(), precision: 15);
    }

    [Fact(Skip = "Remove to run test")]
    public void Eulers_identity_formula()
    {
        var sut = new ComplexNumber(0, Math.PI);
        var expected = new ComplexNumber(-1, 0);
        Assert.Equal(expected.Real(), sut.Exp().Real(), precision: 15);
        Assert.Equal(expected.Imaginary(), sut.Exp().Imaginary(), precision: 15);
    }

    [Fact(Skip = "Remove to run test")]
    public void Exponential_of_0()
    {
        var sut = new ComplexNumber(0, 0);
        var expected = new ComplexNumber(1, 0);
        Assert.Equal(expected.Real(), sut.Exp().Real(), precision: 15);
        Assert.Equal(expected.Imaginary(), sut.Exp().Imaginary(), precision: 15);
    }

    [Fact(Skip = "Remove to run test")]
    public void Exponential_of_a_purely_real_number()
    {
        var sut = new ComplexNumber(1, 0);
        var expected = new ComplexNumber(Math.E, 0);
        Assert.Equal(expected.Real(), sut.Exp().Real(), precision: 15);
        Assert.Equal(expected.Imaginary(), sut.Exp().Imaginary(), precision: 15);
    }
}