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
256
257
258
259
260
261
|
#include <ungrateful.h>
int main() {
un_init(UN_MB(4));
/* 2d */
{
double2 a = {1.0, 2.0};
double2 b = {3.0, 4.0};
double2 n = {0.0, 1.0};
double2 v;
v = un_m_add2d(a, b);
assert(fabs(v.x - 4.0) < EPSILON);
assert(fabs(v.y - 6.0) < EPSILON);
v = un_m_sub2d(a, b);
assert(fabs(v.x + 2.0) < EPSILON);
assert(fabs(v.y + 2.0) < EPSILON);
v = un_m_add_scalar2d(a, 1);
assert(fabs(v.x - 2.0) < EPSILON);
assert(fabs(v.y - 3.0) < EPSILON);
v = un_m_sub_scalar2d(a, 1);
assert(fabs(v.x) < EPSILON);
assert(fabs(v.y - 1.0) < EPSILON);
v = un_m_mul_scalar2d(a, 2);
assert(fabs(v.x - 2.0) < EPSILON);
assert(fabs(v.y - 4.0) < EPSILON);
v = un_m_div_scalar2d(a, 2);
assert(fabs(v.x - 0.5) < EPSILON);
assert(fabs(v.y - 1.0) < EPSILON);
v.x = un_m_dot2d(a, b);
assert(fabs(v.x - 11.0) < EPSILON);
v = un_m_hadamard2d(a, b);
assert(fabs(v.x - 3.0) < EPSILON);
assert(fabs(v.y - 8.0) < EPSILON);
v = un_m_project2d(a, b);
assert(fabs(v.x - 1.32) < EPSILON);
assert(fabs(v.y - 1.76) < EPSILON);
v = un_m_cross2d(a);
assert(fabs(v.x - 2.0) < EPSILON);
assert(fabs(v.y + 1.0) < EPSILON);
v.x = un_m_magnitude2d(b);
assert(fabs(v.x - 5.0) < EPSILON);
v.x = un_m_magnitude_sqr2d(b);
assert(fabs(v.x - 25.0) < EPSILON);
v.x = un_m_distance2d(a, b);
assert(fabs(v.x - sqrt(8.0)) < EPSILON);
v.x = un_m_distance_sqr2d(a, b);
assert(fabs(v.x - 8.0) < EPSILON);
v = un_m_normalize2d(b);
assert(fabs(v.x - 0.6) < EPSILON);
assert(fabs(v.y - 0.8) < EPSILON);
v = un_m_reflect2d(a, n);
assert(fabs(v.x + a.x) < EPSILON);
assert(fabs(v.y - a.y) < EPSILON);
}
/* 3d */
{
double3 a = {1.0, 2.0, 3.0};
double3 b = {3.0, 4.0, 5.0};
double3 n = {0.0, 1.0, 0.0};
double3 v;
v = un_m_add3d(a, b);
assert(fabs(v.x - 4.0) < EPSILON);
assert(fabs(v.y - 6.0) < EPSILON);
assert(fabs(v.z - 8.0) < EPSILON);
v = un_m_sub3d(a, b);
assert(fabs(v.x + 2.0) < EPSILON);
assert(fabs(v.y + 2.0) < EPSILON);
assert(fabs(v.z + 2.0) < EPSILON);
v = un_m_add_scalar3d(a, 1);
assert(fabs(v.x - 2.0) < EPSILON);
assert(fabs(v.y - 3.0) < EPSILON);
assert(fabs(v.z - 4.0) < EPSILON);
v = un_m_sub_scalar3d(a, 1);
assert(fabs(v.x) < EPSILON);
assert(fabs(v.y - 1.0) < EPSILON);
assert(fabs(v.z - 2.0) < EPSILON);
v = un_m_mul_scalar3d(a, 2);
assert(fabs(v.x - 2.0) < EPSILON);
assert(fabs(v.y - 4.0) < EPSILON);
assert(fabs(v.z - 6.0) < EPSILON);
v = un_m_div_scalar3d(a, 2);
assert(fabs(v.x - 0.5) < EPSILON);
assert(fabs(v.y - 1.0) < EPSILON);
assert(fabs(v.z - 1.5) < EPSILON);
v.x = un_m_dot3d(a, b);
assert(fabs(v.x - 26.0) < EPSILON);
v = un_m_hadamard3d(a, b);
assert(fabs(v.x - 3.0) < EPSILON);
assert(fabs(v.y - 8.0) < EPSILON);
assert(fabs(v.z - 15.0) < EPSILON);
v = un_m_project3d(a, b);
assert(fabs(v.x - 1.56) < EPSILON);
assert(fabs(v.y - 2.08) < EPSILON);
assert(fabs(v.z - 2.6) < EPSILON);
v = un_m_cross3d(a, b);
assert(fabs(v.x + 2.0) < EPSILON);
assert(fabs(v.y - 4.0) < EPSILON);
assert(fabs(v.z + 2.0) < EPSILON);
v.x = un_m_magnitude3d(b);
assert(fabs(v.x - sqrt(50.0)) < EPSILON);
v.x = un_m_magnitude_sqr3d(b);
assert(fabs(v.x - 50.0) < EPSILON);
v.x = un_m_distance3d(a, b);
assert(fabs(v.x - sqrt(12.0)) < EPSILON);
v.x = un_m_distance_sqr3d(a, b);
assert(fabs(v.x - 12.0) < EPSILON);
v = un_m_normalize3d(b);
assert(fabs(v.x - 0.424264) < EPSILON);
assert(fabs(v.y - 0.565685) < EPSILON);
assert(fabs(v.z - 0.707107) < EPSILON);
v = un_m_reflect3d(a, n);
assert(fabs(v.x + a.x) < EPSILON);
assert(fabs(v.y - a.y) < EPSILON);
assert(fabs(v.z + a.z) < EPSILON);
}
/* 4d */
{
double4 a = {1.0, 2.0, 3.0, 4.0};
double4 b = {3.0, 4.0, 5.0, 6.0};
double4 n = {0.0, 1.0, 0.0, 0.0};
double4 v;
v = un_m_add4d(a, b);
assert(fabs(v.x - 4.0) < EPSILON);
assert(fabs(v.y - 6.0) < EPSILON);
assert(fabs(v.z - 8.0) < EPSILON);
assert(fabs(v.w - 10.0) < EPSILON);
v = un_m_sub4d(a, b);
assert(fabs(v.x + 2.0) < EPSILON);
assert(fabs(v.y + 2.0) < EPSILON);
assert(fabs(v.z + 2.0) < EPSILON);
assert(fabs(v.w + 2.0) < EPSILON);
v = un_m_add_scalar4d(a, 1);
assert(fabs(v.x - 2.0) < EPSILON);
assert(fabs(v.y - 3.0) < EPSILON);
assert(fabs(v.z - 4.0) < EPSILON);
assert(fabs(v.w - 5.0) < EPSILON);
v = un_m_sub_scalar4d(a, 1);
assert(fabs(v.x) < EPSILON);
assert(fabs(v.y - 1.0) < EPSILON);
assert(fabs(v.z - 2.0) < EPSILON);
assert(fabs(v.w - 3.0) < EPSILON);
v = un_m_mul_scalar4d(a, 2);
assert(fabs(v.x - 2.0) < EPSILON);
assert(fabs(v.y - 4.0) < EPSILON);
assert(fabs(v.z - 6.0) < EPSILON);
assert(fabs(v.w - 8.0) < EPSILON);
v = un_m_div_scalar4d(a, 2);
assert(fabs(v.x - 0.5) < EPSILON);
assert(fabs(v.y - 1.0) < EPSILON);
assert(fabs(v.z - 1.5) < EPSILON);
assert(fabs(v.w - 2.0) < EPSILON);
v.x = un_m_dot4d(a, b);
assert(fabs(v.x - 50.0) < EPSILON);
v = un_m_hadamard4d(a, b);
assert(fabs(v.x - 3.0) < EPSILON);
assert(fabs(v.y - 8.0) < EPSILON);
assert(fabs(v.z - 15.0) < EPSILON);
assert(fabs(v.w - 24.0) < EPSILON);
v = un_m_project4d(a, b);
assert(fabs(v.x - 1.744186) < EPSILON);
assert(fabs(v.y - 2.325581) < EPSILON);
assert(fabs(v.z - 2.906976) < EPSILON);
assert(fabs(v.w - 3.488372) < EPSILON);
v.x = un_m_magnitude4d(b);
assert(fabs(v.x - sqrt(86.0)) < EPSILON);
v.x = un_m_magnitude_sqr4d(b);
assert(fabs(v.x - 86.0) < EPSILON);
v.x = un_m_distance4d(a, b);
assert(fabs(v.x - 4.0) < EPSILON);
v.x = un_m_distance_sqr4d(a, b);
assert(fabs(v.x - 16.0) < EPSILON);
v = un_m_normalize4d(b);
assert(fabs(v.x - 0.323498) < EPSILON);
assert(fabs(v.y - 0.431331) < EPSILON);
assert(fabs(v.z - 0.539164) < EPSILON);
assert(fabs(v.w - 0.646997) < EPSILON);
v = un_m_reflect4d(a, n);
assert(fabs(v.x + a.x) < EPSILON);
assert(fabs(v.y - a.y) < EPSILON);
assert(fabs(v.z + a.z) < EPSILON);
assert(fabs(v.w + a.w) < EPSILON);
}
{ // Complex
double2 v;
double2 a = { 1, 2 };
double2 b = { 3, 4 };
double2 c = { 1, 0 };
double2 d = { 0, 1 };
v = un_m_complex_addd(a, b);
assert((v.x - 4.0) < EPSILON);
assert((v.y - 6.0) < EPSILON);
v = un_m_complex_subd(a, b);
assert((v.x + 2.0) < EPSILON);
assert((v.y + 2.0) < EPSILON);
v = un_m_complex_muld(a, b);
assert((v.x + 5.0) < EPSILON);
assert((v.y - 10.0) < EPSILON);
v = un_m_complex_divd(c, d);
assert(v.x < EPSILON);
assert((v.y + 1.0) < EPSILON);
v.x = un_m_complex_magnituded(c);
assert((v.x - 1.0) < EPSILON);
}
return 0;
}
|
