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
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
|
void un_m_add2r(real *v, real *a, real *b) {
v[0] = a[0] + b[0];
v[1] = a[1] + b[1];
}
void un_m_add3r(real *v, real *a, real *b) {
v[0] = a[0] + b[0];
v[1] = a[1] + b[1];
v[2] = a[2] + b[2];
}
void un_m_add4r(real *v, real *a, real *b) {
v[0] = a[0] + b[0];
v[1] = a[1] + b[1];
v[2] = a[2] + b[2];
v[3] = a[3] + b[3];
}
void un_m_sub2r(real *v, real *a, real *b) {
v[0] = a[0] - b[0];
v[1] = a[1] - b[1];
}
void un_m_sub3r(real *v, real *a, real *b) {
v[0] = a[0] - b[0];
v[1] = a[1] - b[1];
v[2] = a[2] - b[2];
}
void un_m_sub4r(real *v, real *a, real *b) {
v[0] = a[0] - b[0];
v[1] = a[1] - b[1];
v[2] = a[2] - b[2];
v[3] = a[3] - b[3];
}
void un_m_add_scalar2r(real *v, real *a, real scalar) {
v[0] = a[0] + scalar;
v[1] = a[1] + scalar;
}
void un_m_add_scalar3r(real *v, real *a, real scalar) {
v[0] = a[0] + scalar;
v[1] = a[1] + scalar;
v[2] = a[2] + scalar;
}
void un_m_add_scalar4r(real *v, real *a, real scalar) {
v[0] = a[0] + scalar;
v[1] = a[1] + scalar;
v[2] = a[2] + scalar;
v[3] = a[3] + scalar;
}
void un_m_sub_scalar2r(real *v, real *a, real scalar) {
v[0] = a[0] - scalar;
v[1] = a[1] - scalar;
}
void un_m_sub_scalar3r(real *v, real *a, real scalar) {
v[0] = a[0] - scalar;
v[1] = a[1] - scalar;
v[2] = a[2] - scalar;
}
void un_m_sub_scalar4r(real *v, real *a, real scalar) {
v[0] = a[0] - scalar;
v[1] = a[1] - scalar;
v[2] = a[2] - scalar;
v[3] = a[3] - scalar;
}
void un_m_mul_scalar2r(real *v, real *a, real scalar) {
v[0] = a[0] * scalar;
v[1] = a[1] * scalar;
}
void un_m_mul_scalar3r(real *v, real *a, real scalar) {
v[0] = a[0] * scalar;
v[1] = a[1] * scalar;
v[2] = a[2] * scalar;
}
void un_m_mul_scalar4r(real *v, real *a, real scalar) {
v[0] = a[0] * scalar;
v[1] = a[1] * scalar;
v[2] = a[2] * scalar;
v[3] = a[3] * scalar;
}
void un_m_div_scalar2r(real *v, real *a, real scalar) {
v[0] = a[0] / scalar;
v[1] = a[1] / scalar;
}
void un_m_div_scalar3r(real *v, real *a, real scalar) {
v[0] = a[0] / scalar;
v[1] = a[1] / scalar;
v[2] = a[2] / scalar;
}
void un_m_div_scalar4r(real *v, real *a, real scalar) {
v[0] = a[0] / scalar;
v[1] = a[1] / scalar;
v[2] = a[2] / scalar;
v[3] = a[3] / scalar;
}
void un_m_dot2r(real *v, real *a, real *b) {
*v = a[0] * b[0] + a[1] * b[1];
}
void un_m_dot3r(real *v, real *a, real *b) {
*v = a[0] * b[0] + a[1] * b[1] + a[2] * b[2];
}
void un_m_dot4r(real *v, real *a, real *b) {
*v = a[0] * b[0] + a[1] * b[1] + a[2] * b[2] + a[3] * b[3];
}
void un_m_hadamard2r(real *v, real *a, real *b) {
v[0] = a[0] * b[0];
v[1] = a[1] * b[1];
}
void un_m_hadamard3r(real *v, real *a, real *b) {
v[0] = a[0] * b[0];
v[1] = a[1] * b[1];
v[2] = a[2] * b[2];
}
void un_m_hadamard4r(real *v, real *a, real *b) {
v[0] = a[0] * b[0];
v[1] = a[1] * b[1];
v[2] = a[2] * b[2];
v[3] = a[3] * b[3];
}
void un_m_cross2r(real *v, real *a) {
v[0] = a[1];
v[1] =-a[0];
}
void un_m_cross3r(real *v, real *a, real *b) {
v[0] = a[1] * b[2] - a[2] * b[1];
v[1] = a[2] * b[0] - a[0] * b[2];
v[2] = a[0] * b[1] - a[1] * b[0];
}
void un_m_magnitude2r(real *v, real *a) {
#if defined(UN_DOUBLE_PRECISION)
*v = sqrt(a[0] * a[0] + a[1] * a[1]);
#else
*v = sqrtf(a[0] * a[0] + a[1] * a[1]);
#endif
}
void un_m_magnitude3r(real *v, real *a) {
#if defined(UN_DOUBLE_PRECISION)
*v = sqrt(a[0] * a[0] + a[1] * a[1] + a[2] * a[2]);
#else
*v = sqrtf(a[0] * a[0] + a[1] * a[1] + a[2] * a[2]);
#endif
}
void un_m_magnitude4r(real *v, real *a) {
#if defined(UN_DOUBLE_PRECISION)
*v = sqrt(a[0] * a[0] + a[1] * a[1] + a[2] * a[2] + a[3] * a[3]);
#else
*v = sqrtf(a[0] * a[0] + a[1] * a[1] + a[2] * a[2] + a[3] * a[3]);
#endif
}
void un_m_magnitude_sqr2r(real *v, real *a) {
*v = a[0] * a[0] + a[1] * a[1];
}
void un_m_magnitude_sqr3r(real *v, real *a) {
*v = a[0] * a[0] + a[1] * a[1] + a[2] * a[2];
}
void un_m_magnitude_sqr4r(real *v, real *a) {
*v = a[0] * a[0] + a[1] * a[1] + a[2] * a[2] + a[3] * a[3];
}
void un_m_distance2r(real *v, real *a, real *b) {
real f[2];
un_m_sub2r(f, b, a);
#if defined(UN_DOUBLE_PRECISION)
*v = sqrt(f[0] * f[0] + f[1] * f[1]);
#else
*v = sqrtf(f[0] * f[0] + f[1] * f[1]);
#endif
}
void un_m_distance3r(real *v, real *a, real *b) {
real f[3];
un_m_sub3r(f, b, a);
#if defined(UN_DOUBLE_PRECISION)
*v = sqrt(f[0] * f[0] + f[1] * f[1] + f[2] * f[2]);
#else
*v = sqrtf(f[0] * f[0] + f[1] * f[1] + f[2] * f[2]);
#endif
}
void un_m_distance4r(real *v, real *a, real *b) {
real f[4];
un_m_sub4r(f, b, a);
#if defined(UN_DOUBLE_PRECISION)
*v = sqrt(f[0] * f[0] + f[1] * f[1] + f[2] * f[2] + f[3] * f[3]);
#else
*v = sqrtf(f[0] * f[0] + f[1] * f[1] + f[2] * f[2] + f[3] * f[3]);
#endif
}
void un_m_distance_sqr2r(real *v, real *a, real *b) {
real f[2];
un_m_sub2r(f, b, a);
*v = f[0] * f[0] + f[1] * f[1];
}
void un_m_distance_sqr3r(real *v, real *a, real *b) {
real f[3];
un_m_sub3r(f, b, a);
*v = f[0] * f[0] + f[1] * f[1] + f[2] * f[2];
}
void un_m_distance_sqr4r(real *v, real *a, real *b) {
real f[4];
un_m_sub4r(f, b, a);
*v = f[0] * f[0] + f[1] * f[1] + f[2] * f[2] + f[3] * f[3];
}
void un_m_normalize2r(real *v, real *a) {
real f;
un_m_magnitude2r(&f, a);
v[0] = a[0] / f;
v[1] = a[1] / f;
}
void un_m_normalize3r(real *v, real *a) {
real f;
un_m_magnitude3r(&f, a);
v[0] = a[0] / f;
v[1] = a[1] / f;
v[2] = a[2] / f;
}
void un_m_normalize4r(real *v, real *a) {
real f;
un_m_magnitude4r(&f, a);
v[0] = a[0] / f;
v[1] = a[1] / f;
v[2] = a[2] / f;
v[3] = a[3] / f;
}
void un_m_project2r(real *v, real *a, real *onto) {
real dot, magn, scale;
un_m_dot2r(&dot, a, onto);
un_m_magnitude_sqr2r(&magn, onto);
#if defined(UN_DOUBLE_PRECISION)
if (magn < EPSILON_D) {
un_memory_set((void*)v, 0, sizeof(*v) * 2);
return;
}
#else
if (magn < EPSILON) {
un_memory_set((void*)v, 0, sizeof(*v) * 2);
return;
}
#endif
scale = dot / magn;
v[0] = onto[0] * scale;
v[1] = onto[1] * scale;
}
void un_m_project3r(real *v, real *a, real *onto) {
real dot, magn, scale;
un_m_dot3r(&dot, a, onto);
un_m_magnitude_sqr3r(&magn, onto);
#if defined(UN_DOUBLE_PRECISION)
if (magn < EPSILON_D) {
un_memory_set((void*)v, 0, sizeof(*v) * 3);
return;
}
#else
if (magn < EPSILON) {
un_memory_set((void*)v, 0, sizeof(*v) * 3);
return;
}
#endif
scale = dot / magn;
v[0] = onto[0] * scale;
v[1] = onto[1] * scale;
v[2] = onto[2] * scale;
}
void un_m_project4r(real *v, real *a, real *onto) {
real dot, magn, scale;
un_m_dot4r(&dot, a, onto);
un_m_magnitude_sqr4r(&magn, onto);
#if defined(UN_DOUBLE_PRECISION)
if (magn < EPSILON_D) {
un_memory_set((void*)v, 0, sizeof(*v) * 4);
return;
}
#else
if (magn < EPSILON) {
un_memory_set((void*)v, 0, sizeof(*v) * 4);
return;
}
#endif
scale = dot / magn;
v[0] = onto[0] * scale;
v[1] = onto[1] * scale;
v[2] = onto[2] * scale;
v[3] = onto[3] * scale;
}
void un_m_reflect2r(real *v, real *a, real *normal) {
real dot;
un_m_dot2r(&dot, a, normal);
un_m_mul_scalar2r(v, normal, 2.0 * dot);
un_m_sub2r(v, v, a);
}
void un_m_reflect3r(real *v, real *a, real *normal) {
real dot;
un_m_dot3r(&dot, a, normal);
un_m_mul_scalar3r(v, normal, 2.0 * dot);
un_m_sub3r(v, v, a);
}
void un_m_reflect4r(real *v, real *a, real *normal) {
real dot;
un_m_dot4r(&dot, a, normal);
un_m_mul_scalar4r(v, normal, 2.0 * dot);
un_m_sub4r(v, v, a);
}
|
