1 /*
2 Copyright (C) 1996-1997 Id Software, Inc.
3
4 This program is free software; you can redistribute it and/or
5 modify it under the terms of the GNU General Public License
6 as published by the Free Software Foundation; either version 2
7 of the License, or (at your option) any later version.
8
9 This program is distributed in the hope that it will be useful,
10 but WITHOUT ANY WARRANTY; without even the implied warranty of
11 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
12
13 See the GNU General Public License for more details.
14
15 You should have received a copy of the GNU General Public License
16 along with this program; if not, write to the Free Software
17 Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
18
19 */
20 // mathlib.c -- math primitives
21
22 #include "quakedef.h"
23
24 #include <math.h>
25
26 vec3_t vec3_origin = {0,0,0};
27 float ixtable[4096];
28
29 /*-----------------------------------------------------------------*/
30
31 float m_bytenormals[NUMVERTEXNORMALS][3] =
32 {
33 {-0.525731f, 0.000000f, 0.850651f}, {-0.442863f, 0.238856f, 0.864188f},
34 {-0.295242f, 0.000000f, 0.955423f}, {-0.309017f, 0.500000f, 0.809017f},
35 {-0.162460f, 0.262866f, 0.951056f}, {0.000000f, 0.000000f, 1.000000f},
36 {0.000000f, 0.850651f, 0.525731f}, {-0.147621f, 0.716567f, 0.681718f},
37 {0.147621f, 0.716567f, 0.681718f}, {0.000000f, 0.525731f, 0.850651f},
38 {0.309017f, 0.500000f, 0.809017f}, {0.525731f, 0.000000f, 0.850651f},
39 {0.295242f, 0.000000f, 0.955423f}, {0.442863f, 0.238856f, 0.864188f},
40 {0.162460f, 0.262866f, 0.951056f}, {-0.681718f, 0.147621f, 0.716567f},
41 {-0.809017f, 0.309017f, 0.500000f}, {-0.587785f, 0.425325f, 0.688191f},
42 {-0.850651f, 0.525731f, 0.000000f}, {-0.864188f, 0.442863f, 0.238856f},
43 {-0.716567f, 0.681718f, 0.147621f}, {-0.688191f, 0.587785f, 0.425325f},
44 {-0.500000f, 0.809017f, 0.309017f}, {-0.238856f, 0.864188f, 0.442863f},
45 {-0.425325f, 0.688191f, 0.587785f}, {-0.716567f, 0.681718f, -0.147621f},
46 {-0.500000f, 0.809017f, -0.309017f}, {-0.525731f, 0.850651f, 0.000000f},
47 {0.000000f, 0.850651f, -0.525731f}, {-0.238856f, 0.864188f, -0.442863f},
48 {0.000000f, 0.955423f, -0.295242f}, {-0.262866f, 0.951056f, -0.162460f},
49 {0.000000f, 1.000000f, 0.000000f}, {0.000000f, 0.955423f, 0.295242f},
50 {-0.262866f, 0.951056f, 0.162460f}, {0.238856f, 0.864188f, 0.442863f},
51 {0.262866f, 0.951056f, 0.162460f}, {0.500000f, 0.809017f, 0.309017f},
52 {0.238856f, 0.864188f, -0.442863f}, {0.262866f, 0.951056f, -0.162460f},
53 {0.500000f, 0.809017f, -0.309017f}, {0.850651f, 0.525731f, 0.000000f},
54 {0.716567f, 0.681718f, 0.147621f}, {0.716567f, 0.681718f, -0.147621f},
55 {0.525731f, 0.850651f, 0.000000f}, {0.425325f, 0.688191f, 0.587785f},
56 {0.864188f, 0.442863f, 0.238856f}, {0.688191f, 0.587785f, 0.425325f},
57 {0.809017f, 0.309017f, 0.500000f}, {0.681718f, 0.147621f, 0.716567f},
58 {0.587785f, 0.425325f, 0.688191f}, {0.955423f, 0.295242f, 0.000000f},
59 {1.000000f, 0.000000f, 0.000000f}, {0.951056f, 0.162460f, 0.262866f},
60 {0.850651f, -0.525731f, 0.000000f}, {0.955423f, -0.295242f, 0.000000f},
61 {0.864188f, -0.442863f, 0.238856f}, {0.951056f, -0.162460f, 0.262866f},
62 {0.809017f, -0.309017f, 0.500000f}, {0.681718f, -0.147621f, 0.716567f},
63 {0.850651f, 0.000000f, 0.525731f}, {0.864188f, 0.442863f, -0.238856f},
64 {0.809017f, 0.309017f, -0.500000f}, {0.951056f, 0.162460f, -0.262866f},
65 {0.525731f, 0.000000f, -0.850651f}, {0.681718f, 0.147621f, -0.716567f},
66 {0.681718f, -0.147621f, -0.716567f}, {0.850651f, 0.000000f, -0.525731f},
67 {0.809017f, -0.309017f, -0.500000f}, {0.864188f, -0.442863f, -0.238856f},
68 {0.951056f, -0.162460f, -0.262866f}, {0.147621f, 0.716567f, -0.681718f},
69 {0.309017f, 0.500000f, -0.809017f}, {0.425325f, 0.688191f, -0.587785f},
70 {0.442863f, 0.238856f, -0.864188f}, {0.587785f, 0.425325f, -0.688191f},
71 {0.688191f, 0.587785f, -0.425325f}, {-0.147621f, 0.716567f, -0.681718f},
72 {-0.309017f, 0.500000f, -0.809017f}, {0.000000f, 0.525731f, -0.850651f},
73 {-0.525731f, 0.000000f, -0.850651f}, {-0.442863f, 0.238856f, -0.864188f},
74 {-0.295242f, 0.000000f, -0.955423f}, {-0.162460f, 0.262866f, -0.951056f},
75 {0.000000f, 0.000000f, -1.000000f}, {0.295242f, 0.000000f, -0.955423f},
76 {0.162460f, 0.262866f, -0.951056f}, {-0.442863f, -0.238856f, -0.864188f},
77 {-0.309017f, -0.500000f, -0.809017f}, {-0.162460f, -0.262866f, -0.951056f},
78 {0.000000f, -0.850651f, -0.525731f}, {-0.147621f, -0.716567f, -0.681718f},
79 {0.147621f, -0.716567f, -0.681718f}, {0.000000f, -0.525731f, -0.850651f},
80 {0.309017f, -0.500000f, -0.809017f}, {0.442863f, -0.238856f, -0.864188f},
81 {0.162460f, -0.262866f, -0.951056f}, {0.238856f, -0.864188f, -0.442863f},
82 {0.500000f, -0.809017f, -0.309017f}, {0.425325f, -0.688191f, -0.587785f},
83 {0.716567f, -0.681718f, -0.147621f}, {0.688191f, -0.587785f, -0.425325f},
84 {0.587785f, -0.425325f, -0.688191f}, {0.000000f, -0.955423f, -0.295242f},
85 {0.000000f, -1.000000f, 0.000000f}, {0.262866f, -0.951056f, -0.162460f},
86 {0.000000f, -0.850651f, 0.525731f}, {0.000000f, -0.955423f, 0.295242f},
87 {0.238856f, -0.864188f, 0.442863f}, {0.262866f, -0.951056f, 0.162460f},
88 {0.500000f, -0.809017f, 0.309017f}, {0.716567f, -0.681718f, 0.147621f},
89 {0.525731f, -0.850651f, 0.000000f}, {-0.238856f, -0.864188f, -0.442863f},
90 {-0.500000f, -0.809017f, -0.309017f}, {-0.262866f, -0.951056f, -0.162460f},
91 {-0.850651f, -0.525731f, 0.000000f}, {-0.716567f, -0.681718f, -0.147621f},
92 {-0.716567f, -0.681718f, 0.147621f}, {-0.525731f, -0.850651f, 0.000000f},
93 {-0.500000f, -0.809017f, 0.309017f}, {-0.238856f, -0.864188f, 0.442863f},
94 {-0.262866f, -0.951056f, 0.162460f}, {-0.864188f, -0.442863f, 0.238856f},
95 {-0.809017f, -0.309017f, 0.500000f}, {-0.688191f, -0.587785f, 0.425325f},
96 {-0.681718f, -0.147621f, 0.716567f}, {-0.442863f, -0.238856f, 0.864188f},
97 {-0.587785f, -0.425325f, 0.688191f}, {-0.309017f, -0.500000f, 0.809017f},
98 {-0.147621f, -0.716567f, 0.681718f}, {-0.425325f, -0.688191f, 0.587785f},
99 {-0.162460f, -0.262866f, 0.951056f}, {0.442863f, -0.238856f, 0.864188f},
100 {0.162460f, -0.262866f, 0.951056f}, {0.309017f, -0.500000f, 0.809017f},
101 {0.147621f, -0.716567f, 0.681718f}, {0.000000f, -0.525731f, 0.850651f},
102 {0.425325f, -0.688191f, 0.587785f}, {0.587785f, -0.425325f, 0.688191f},
103 {0.688191f, -0.587785f, 0.425325f}, {-0.955423f, 0.295242f, 0.000000f},
104 {-0.951056f, 0.162460f, 0.262866f}, {-1.000000f, 0.000000f, 0.000000f},
105 {-0.850651f, 0.000000f, 0.525731f}, {-0.955423f, -0.295242f, 0.000000f},
106 {-0.951056f, -0.162460f, 0.262866f}, {-0.864188f, 0.442863f, -0.238856f},
107 {-0.951056f, 0.162460f, -0.262866f}, {-0.809017f, 0.309017f, -0.500000f},
108 {-0.864188f, -0.442863f, -0.238856f}, {-0.951056f, -0.162460f, -0.262866f},
109 {-0.809017f, -0.309017f, -0.500000f}, {-0.681718f, 0.147621f, -0.716567f},
110 {-0.681718f, -0.147621f, -0.716567f}, {-0.850651f, 0.000000f, -0.525731f},
111 {-0.688191f, 0.587785f, -0.425325f}, {-0.587785f, 0.425325f, -0.688191f},
112 {-0.425325f, 0.688191f, -0.587785f}, {-0.425325f, -0.688191f, -0.587785f},
113 {-0.587785f, -0.425325f, -0.688191f}, {-0.688191f, -0.587785f, -0.425325f},
114 };
115
116 #if 0
117 unsigned char NormalToByte(const vec3_t n)
118 {
119 int i, best;
120 float bestdistance, distance;
121
122 best = 0;
123 bestdistance = DotProduct (n, m_bytenormals[0]);
124 for (i = 1;i < NUMVERTEXNORMALS;i++)
125 {
126 distance = DotProduct (n, m_bytenormals[i]);
127 if (distance > bestdistance)
128 {
129 bestdistance = distance;
130 best = i;
131 }
132 }
133 return best;
134 }
135
136 // note: uses byte partly to force unsigned for the validity check
137 void ByteToNormal(unsigned char num, vec3_t n)
138 {
139 if (num < NUMVERTEXNORMALS)
140 VectorCopy(m_bytenormals[num], n);
141 else
142 VectorClear(n); // FIXME: complain?
143 }
144
145 // assumes "src" is normalized
146 void PerpendicularVector( vec3_t dst, const vec3_t src )
147 {
148 // LordHavoc: optimized to death and beyond
149 int pos;
150 float minelem;
151
152 if (src[0])
153 {
154 dst[0] = 0;
155 if (src[1])
156 {
157 dst[1] = 0;
158 if (src[2])
159 {
160 dst[2] = 0;
161 pos = 0;
162 minelem = fabs(src[0]);
163 if (fabs(src[1]) < minelem)
164 {
165 pos = 1;
166 minelem = fabs(src[1]);
167 }
168 if (fabs(src[2]) < minelem)
169 pos = 2;
170
171 dst[pos] = 1;
172 dst[0] -= src[pos] * src[0];
173 dst[1] -= src[pos] * src[1];
174 dst[2] -= src[pos] * src[2];
175
176 // normalize the result
177 VectorNormalize(dst);
178 }
179 else
180 dst[2] = 1;
181 }
182 else
183 {
184 dst[1] = 1;
185 dst[2] = 0;
186 }
187 }
188 else
189 {
190 dst[0] = 1;
191 dst[1] = 0;
192 dst[2] = 0;
193 }
194 }
195 #endif
196
197
198 // LordHavoc: like AngleVectors, but taking a forward vector instead of angles, useful!
VectorVectors(const vec3_t forward,vec3_t right,vec3_t up)199 void VectorVectors(const vec3_t forward, vec3_t right, vec3_t up)
200 {
201 // NOTE: this is consistent to AngleVectors applied to AnglesFromVectors
202 if (forward[0] == 0 && forward[1] == 0)
203 {
204 if(forward[2] > 0)
205 {
206 VectorSet(right, 0, -1, 0);
207 VectorSet(up, -1, 0, 0);
208 }
209 else
210 {
211 VectorSet(right, 0, -1, 0);
212 VectorSet(up, 1, 0, 0);
213 }
214 }
215 else
216 {
217 right[0] = forward[1];
218 right[1] = -forward[0];
219 right[2] = 0;
220 VectorNormalize(right);
221
222 up[0] = (-forward[2]*forward[0]);
223 up[1] = (-forward[2]*forward[1]);
224 up[2] = (forward[0]*forward[0] + forward[1]*forward[1]);
225 VectorNormalize(up);
226 }
227 }
228
VectorVectorsDouble(const double * forward,double * right,double * up)229 void VectorVectorsDouble(const double *forward, double *right, double *up)
230 {
231 if (forward[0] == 0 && forward[1] == 0)
232 {
233 if(forward[2] > 0)
234 {
235 VectorSet(right, 0, -1, 0);
236 VectorSet(up, -1, 0, 0);
237 }
238 else
239 {
240 VectorSet(right, 0, -1, 0);
241 VectorSet(up, 1, 0, 0);
242 }
243 }
244 else
245 {
246 right[0] = forward[1];
247 right[1] = -forward[0];
248 right[2] = 0;
249 VectorNormalize(right);
250
251 up[0] = (-forward[2]*forward[0]);
252 up[1] = (-forward[2]*forward[1]);
253 up[2] = (forward[0]*forward[0] + forward[1]*forward[1]);
254 VectorNormalize(up);
255 }
256 }
257
RotatePointAroundVector(vec3_t dst,const vec3_t dir,const vec3_t point,float degrees)258 void RotatePointAroundVector( vec3_t dst, const vec3_t dir, const vec3_t point, float degrees )
259 {
260 float t0, t1;
261 float angle, c, s;
262 vec3_t vr, vu, vf;
263
264 angle = DEG2RAD(degrees);
265 c = cos(angle);
266 s = sin(angle);
267 VectorCopy(dir, vf);
268 VectorVectors(vf, vr, vu);
269
270 t0 = vr[0] * c + vu[0] * -s;
271 t1 = vr[0] * s + vu[0] * c;
272 dst[0] = (t0 * vr[0] + t1 * vu[0] + vf[0] * vf[0]) * point[0]
273 + (t0 * vr[1] + t1 * vu[1] + vf[0] * vf[1]) * point[1]
274 + (t0 * vr[2] + t1 * vu[2] + vf[0] * vf[2]) * point[2];
275
276 t0 = vr[1] * c + vu[1] * -s;
277 t1 = vr[1] * s + vu[1] * c;
278 dst[1] = (t0 * vr[0] + t1 * vu[0] + vf[1] * vf[0]) * point[0]
279 + (t0 * vr[1] + t1 * vu[1] + vf[1] * vf[1]) * point[1]
280 + (t0 * vr[2] + t1 * vu[2] + vf[1] * vf[2]) * point[2];
281
282 t0 = vr[2] * c + vu[2] * -s;
283 t1 = vr[2] * s + vu[2] * c;
284 dst[2] = (t0 * vr[0] + t1 * vu[0] + vf[2] * vf[0]) * point[0]
285 + (t0 * vr[1] + t1 * vu[1] + vf[2] * vf[1]) * point[1]
286 + (t0 * vr[2] + t1 * vu[2] + vf[2] * vf[2]) * point[2];
287 }
288
289 /*-----------------------------------------------------------------*/
290
291 // returns the smallest integer greater than or equal to "value", or 0 if "value" is too big
CeilPowerOf2(unsigned int value)292 unsigned int CeilPowerOf2(unsigned int value)
293 {
294 unsigned int ceilvalue;
295
296 if (value > (1U << (sizeof(int) * 8 - 1)))
297 return 0;
298
299 ceilvalue = 1;
300 while (ceilvalue < value)
301 ceilvalue <<= 1;
302
303 return ceilvalue;
304 }
305
306
307 /*-----------------------------------------------------------------*/
308
309
PlaneClassify(mplane_t * p)310 void PlaneClassify(mplane_t *p)
311 {
312 // for optimized plane comparisons
313 if (p->normal[0] == 1)
314 p->type = 0;
315 else if (p->normal[1] == 1)
316 p->type = 1;
317 else if (p->normal[2] == 1)
318 p->type = 2;
319 else
320 p->type = 3;
321 // for BoxOnPlaneSide
322 p->signbits = 0;
323 if (p->normal[0] < 0) // 1
324 p->signbits |= 1;
325 if (p->normal[1] < 0) // 2
326 p->signbits |= 2;
327 if (p->normal[2] < 0) // 4
328 p->signbits |= 4;
329 }
330
BoxOnPlaneSide(const vec3_t emins,const vec3_t emaxs,const mplane_t * p)331 int BoxOnPlaneSide(const vec3_t emins, const vec3_t emaxs, const mplane_t *p)
332 {
333 if (p->type < 3)
334 return ((emaxs[p->type] >= p->dist) | ((emins[p->type] < p->dist) << 1));
335 switch(p->signbits)
336 {
337 default:
338 case 0: return (((p->normal[0] * emaxs[0] + p->normal[1] * emaxs[1] + p->normal[2] * emaxs[2]) >= p->dist) | (((p->normal[0] * emins[0] + p->normal[1] * emins[1] + p->normal[2] * emins[2]) < p->dist) << 1));
339 case 1: return (((p->normal[0] * emins[0] + p->normal[1] * emaxs[1] + p->normal[2] * emaxs[2]) >= p->dist) | (((p->normal[0] * emaxs[0] + p->normal[1] * emins[1] + p->normal[2] * emins[2]) < p->dist) << 1));
340 case 2: return (((p->normal[0] * emaxs[0] + p->normal[1] * emins[1] + p->normal[2] * emaxs[2]) >= p->dist) | (((p->normal[0] * emins[0] + p->normal[1] * emaxs[1] + p->normal[2] * emins[2]) < p->dist) << 1));
341 case 3: return (((p->normal[0] * emins[0] + p->normal[1] * emins[1] + p->normal[2] * emaxs[2]) >= p->dist) | (((p->normal[0] * emaxs[0] + p->normal[1] * emaxs[1] + p->normal[2] * emins[2]) < p->dist) << 1));
342 case 4: return (((p->normal[0] * emaxs[0] + p->normal[1] * emaxs[1] + p->normal[2] * emins[2]) >= p->dist) | (((p->normal[0] * emins[0] + p->normal[1] * emins[1] + p->normal[2] * emaxs[2]) < p->dist) << 1));
343 case 5: return (((p->normal[0] * emins[0] + p->normal[1] * emaxs[1] + p->normal[2] * emins[2]) >= p->dist) | (((p->normal[0] * emaxs[0] + p->normal[1] * emins[1] + p->normal[2] * emaxs[2]) < p->dist) << 1));
344 case 6: return (((p->normal[0] * emaxs[0] + p->normal[1] * emins[1] + p->normal[2] * emins[2]) >= p->dist) | (((p->normal[0] * emins[0] + p->normal[1] * emaxs[1] + p->normal[2] * emaxs[2]) < p->dist) << 1));
345 case 7: return (((p->normal[0] * emins[0] + p->normal[1] * emins[1] + p->normal[2] * emins[2]) >= p->dist) | (((p->normal[0] * emaxs[0] + p->normal[1] * emaxs[1] + p->normal[2] * emaxs[2]) < p->dist) << 1));
346 }
347 }
348
349 #if 0
350 int BoxOnPlaneSide_Separate(const vec3_t emins, const vec3_t emaxs, const vec3_t normal, const vec_t dist)
351 {
352 switch((normal[0] < 0) | ((normal[1] < 0) << 1) | ((normal[2] < 0) << 2))
353 {
354 default:
355 case 0: return (((normal[0] * emaxs[0] + normal[1] * emaxs[1] + normal[2] * emaxs[2]) >= dist) | (((normal[0] * emins[0] + normal[1] * emins[1] + normal[2] * emins[2]) < dist) << 1));
356 case 1: return (((normal[0] * emins[0] + normal[1] * emaxs[1] + normal[2] * emaxs[2]) >= dist) | (((normal[0] * emaxs[0] + normal[1] * emins[1] + normal[2] * emins[2]) < dist) << 1));
357 case 2: return (((normal[0] * emaxs[0] + normal[1] * emins[1] + normal[2] * emaxs[2]) >= dist) | (((normal[0] * emins[0] + normal[1] * emaxs[1] + normal[2] * emins[2]) < dist) << 1));
358 case 3: return (((normal[0] * emins[0] + normal[1] * emins[1] + normal[2] * emaxs[2]) >= dist) | (((normal[0] * emaxs[0] + normal[1] * emaxs[1] + normal[2] * emins[2]) < dist) << 1));
359 case 4: return (((normal[0] * emaxs[0] + normal[1] * emaxs[1] + normal[2] * emins[2]) >= dist) | (((normal[0] * emins[0] + normal[1] * emins[1] + normal[2] * emaxs[2]) < dist) << 1));
360 case 5: return (((normal[0] * emins[0] + normal[1] * emaxs[1] + normal[2] * emins[2]) >= dist) | (((normal[0] * emaxs[0] + normal[1] * emins[1] + normal[2] * emaxs[2]) < dist) << 1));
361 case 6: return (((normal[0] * emaxs[0] + normal[1] * emins[1] + normal[2] * emins[2]) >= dist) | (((normal[0] * emins[0] + normal[1] * emaxs[1] + normal[2] * emaxs[2]) < dist) << 1));
362 case 7: return (((normal[0] * emins[0] + normal[1] * emins[1] + normal[2] * emins[2]) >= dist) | (((normal[0] * emaxs[0] + normal[1] * emaxs[1] + normal[2] * emaxs[2]) < dist) << 1));
363 }
364 }
365 #endif
366
BoxPlaneCorners(const vec3_t emins,const vec3_t emaxs,const mplane_t * p,vec3_t outnear,vec3_t outfar)367 void BoxPlaneCorners(const vec3_t emins, const vec3_t emaxs, const mplane_t *p, vec3_t outnear, vec3_t outfar)
368 {
369 if (p->type < 3)
370 {
371 outnear[0] = outnear[1] = outnear[2] = outfar[0] = outfar[1] = outfar[2] = 0;
372 outnear[p->type] = emins[p->type];
373 outfar[p->type] = emaxs[p->type];
374 return;
375 }
376 switch(p->signbits)
377 {
378 default:
379 case 0: outnear[0] = emaxs[0];outnear[1] = emaxs[1];outnear[2] = emaxs[2];outfar[0] = emins[0];outfar[1] = emins[1];outfar[2] = emins[2];break;
380 case 1: outnear[0] = emins[0];outnear[1] = emaxs[1];outnear[2] = emaxs[2];outfar[0] = emaxs[0];outfar[1] = emins[1];outfar[2] = emins[2];break;
381 case 2: outnear[0] = emaxs[0];outnear[1] = emins[1];outnear[2] = emaxs[2];outfar[0] = emins[0];outfar[1] = emaxs[1];outfar[2] = emins[2];break;
382 case 3: outnear[0] = emins[0];outnear[1] = emins[1];outnear[2] = emaxs[2];outfar[0] = emaxs[0];outfar[1] = emaxs[1];outfar[2] = emins[2];break;
383 case 4: outnear[0] = emaxs[0];outnear[1] = emaxs[1];outnear[2] = emins[2];outfar[0] = emins[0];outfar[1] = emins[1];outfar[2] = emaxs[2];break;
384 case 5: outnear[0] = emins[0];outnear[1] = emaxs[1];outnear[2] = emins[2];outfar[0] = emaxs[0];outfar[1] = emins[1];outfar[2] = emaxs[2];break;
385 case 6: outnear[0] = emaxs[0];outnear[1] = emins[1];outnear[2] = emins[2];outfar[0] = emins[0];outfar[1] = emaxs[1];outfar[2] = emaxs[2];break;
386 case 7: outnear[0] = emins[0];outnear[1] = emins[1];outnear[2] = emins[2];outfar[0] = emaxs[0];outfar[1] = emaxs[1];outfar[2] = emaxs[2];break;
387 }
388 }
389
BoxPlaneCorners_Separate(const vec3_t emins,const vec3_t emaxs,const vec3_t normal,vec3_t outnear,vec3_t outfar)390 void BoxPlaneCorners_Separate(const vec3_t emins, const vec3_t emaxs, const vec3_t normal, vec3_t outnear, vec3_t outfar)
391 {
392 switch((normal[0] < 0) | ((normal[1] < 0) << 1) | ((normal[2] < 0) << 2))
393 {
394 default:
395 case 0: outnear[0] = emaxs[0];outnear[1] = emaxs[1];outnear[2] = emaxs[2];outfar[0] = emins[0];outfar[1] = emins[1];outfar[2] = emins[2];break;
396 case 1: outnear[0] = emins[0];outnear[1] = emaxs[1];outnear[2] = emaxs[2];outfar[0] = emaxs[0];outfar[1] = emins[1];outfar[2] = emins[2];break;
397 case 2: outnear[0] = emaxs[0];outnear[1] = emins[1];outnear[2] = emaxs[2];outfar[0] = emins[0];outfar[1] = emaxs[1];outfar[2] = emins[2];break;
398 case 3: outnear[0] = emins[0];outnear[1] = emins[1];outnear[2] = emaxs[2];outfar[0] = emaxs[0];outfar[1] = emaxs[1];outfar[2] = emins[2];break;
399 case 4: outnear[0] = emaxs[0];outnear[1] = emaxs[1];outnear[2] = emins[2];outfar[0] = emins[0];outfar[1] = emins[1];outfar[2] = emaxs[2];break;
400 case 5: outnear[0] = emins[0];outnear[1] = emaxs[1];outnear[2] = emins[2];outfar[0] = emaxs[0];outfar[1] = emins[1];outfar[2] = emaxs[2];break;
401 case 6: outnear[0] = emaxs[0];outnear[1] = emins[1];outnear[2] = emins[2];outfar[0] = emins[0];outfar[1] = emaxs[1];outfar[2] = emaxs[2];break;
402 case 7: outnear[0] = emins[0];outnear[1] = emins[1];outnear[2] = emins[2];outfar[0] = emaxs[0];outfar[1] = emaxs[1];outfar[2] = emaxs[2];break;
403 }
404 }
405
BoxPlaneCornerDistances(const vec3_t emins,const vec3_t emaxs,const mplane_t * p,vec_t * outneardist,vec_t * outfardist)406 void BoxPlaneCornerDistances(const vec3_t emins, const vec3_t emaxs, const mplane_t *p, vec_t *outneardist, vec_t *outfardist)
407 {
408 if (p->type < 3)
409 {
410 *outneardist = emins[p->type] - p->dist;
411 *outfardist = emaxs[p->type] - p->dist;
412 return;
413 }
414 switch(p->signbits)
415 {
416 default:
417 case 0: *outneardist = p->normal[0] * emaxs[0] + p->normal[1] * emaxs[1] + p->normal[2] * emaxs[2] - p->dist;*outfardist = p->normal[0] * emins[0] + p->normal[1] * emins[1] + p->normal[2] * emins[2] - p->dist;break;
418 case 1: *outneardist = p->normal[0] * emins[0] + p->normal[1] * emaxs[1] + p->normal[2] * emaxs[2] - p->dist;*outfardist = p->normal[0] * emaxs[0] + p->normal[1] * emins[1] + p->normal[2] * emins[2] - p->dist;break;
419 case 2: *outneardist = p->normal[0] * emaxs[0] + p->normal[1] * emins[1] + p->normal[2] * emaxs[2] - p->dist;*outfardist = p->normal[0] * emins[0] + p->normal[1] * emaxs[1] + p->normal[2] * emins[2] - p->dist;break;
420 case 3: *outneardist = p->normal[0] * emins[0] + p->normal[1] * emins[1] + p->normal[2] * emaxs[2] - p->dist;*outfardist = p->normal[0] * emaxs[0] + p->normal[1] * emaxs[1] + p->normal[2] * emins[2] - p->dist;break;
421 case 4: *outneardist = p->normal[0] * emaxs[0] + p->normal[1] * emaxs[1] + p->normal[2] * emins[2] - p->dist;*outfardist = p->normal[0] * emins[0] + p->normal[1] * emins[1] + p->normal[2] * emaxs[2] - p->dist;break;
422 case 5: *outneardist = p->normal[0] * emins[0] + p->normal[1] * emaxs[1] + p->normal[2] * emins[2] - p->dist;*outfardist = p->normal[0] * emaxs[0] + p->normal[1] * emins[1] + p->normal[2] * emaxs[2] - p->dist;break;
423 case 6: *outneardist = p->normal[0] * emaxs[0] + p->normal[1] * emins[1] + p->normal[2] * emins[2] - p->dist;*outfardist = p->normal[0] * emins[0] + p->normal[1] * emaxs[1] + p->normal[2] * emaxs[2] - p->dist;break;
424 case 7: *outneardist = p->normal[0] * emins[0] + p->normal[1] * emins[1] + p->normal[2] * emins[2] - p->dist;*outfardist = p->normal[0] * emaxs[0] + p->normal[1] * emaxs[1] + p->normal[2] * emaxs[2] - p->dist;break;
425 }
426 }
427
BoxPlaneCornerDistances_Separate(const vec3_t emins,const vec3_t emaxs,const vec3_t normal,vec_t * outneardist,vec_t * outfardist)428 void BoxPlaneCornerDistances_Separate(const vec3_t emins, const vec3_t emaxs, const vec3_t normal, vec_t *outneardist, vec_t *outfardist)
429 {
430 switch((normal[0] < 0) | ((normal[1] < 0) << 1) | ((normal[2] < 0) << 2))
431 {
432 default:
433 case 0: *outneardist = normal[0] * emaxs[0] + normal[1] * emaxs[1] + normal[2] * emaxs[2];*outfardist = normal[0] * emins[0] + normal[1] * emins[1] + normal[2] * emins[2];break;
434 case 1: *outneardist = normal[0] * emins[0] + normal[1] * emaxs[1] + normal[2] * emaxs[2];*outfardist = normal[0] * emaxs[0] + normal[1] * emins[1] + normal[2] * emins[2];break;
435 case 2: *outneardist = normal[0] * emaxs[0] + normal[1] * emins[1] + normal[2] * emaxs[2];*outfardist = normal[0] * emins[0] + normal[1] * emaxs[1] + normal[2] * emins[2];break;
436 case 3: *outneardist = normal[0] * emins[0] + normal[1] * emins[1] + normal[2] * emaxs[2];*outfardist = normal[0] * emaxs[0] + normal[1] * emaxs[1] + normal[2] * emins[2];break;
437 case 4: *outneardist = normal[0] * emaxs[0] + normal[1] * emaxs[1] + normal[2] * emins[2];*outfardist = normal[0] * emins[0] + normal[1] * emins[1] + normal[2] * emaxs[2];break;
438 case 5: *outneardist = normal[0] * emins[0] + normal[1] * emaxs[1] + normal[2] * emins[2];*outfardist = normal[0] * emaxs[0] + normal[1] * emins[1] + normal[2] * emaxs[2];break;
439 case 6: *outneardist = normal[0] * emaxs[0] + normal[1] * emins[1] + normal[2] * emins[2];*outfardist = normal[0] * emins[0] + normal[1] * emaxs[1] + normal[2] * emaxs[2];break;
440 case 7: *outneardist = normal[0] * emins[0] + normal[1] * emins[1] + normal[2] * emins[2];*outfardist = normal[0] * emaxs[0] + normal[1] * emaxs[1] + normal[2] * emaxs[2];break;
441 }
442 }
443
AngleVectors(const vec3_t angles,vec3_t forward,vec3_t right,vec3_t up)444 void AngleVectors (const vec3_t angles, vec3_t forward, vec3_t right, vec3_t up)
445 {
446 double angle, sr, sp, sy, cr, cp, cy;
447
448 angle = angles[YAW] * (M_PI*2 / 360);
449 sy = sin(angle);
450 cy = cos(angle);
451 angle = angles[PITCH] * (M_PI*2 / 360);
452 sp = sin(angle);
453 cp = cos(angle);
454 if (forward)
455 {
456 forward[0] = cp*cy;
457 forward[1] = cp*sy;
458 forward[2] = -sp;
459 }
460 if (right || up)
461 {
462 if (angles[ROLL])
463 {
464 angle = angles[ROLL] * (M_PI*2 / 360);
465 sr = sin(angle);
466 cr = cos(angle);
467 if (right)
468 {
469 right[0] = -1*(sr*sp*cy+cr*-sy);
470 right[1] = -1*(sr*sp*sy+cr*cy);
471 right[2] = -1*(sr*cp);
472 }
473 if (up)
474 {
475 up[0] = (cr*sp*cy+-sr*-sy);
476 up[1] = (cr*sp*sy+-sr*cy);
477 up[2] = cr*cp;
478 }
479 }
480 else
481 {
482 if (right)
483 {
484 right[0] = sy;
485 right[1] = -cy;
486 right[2] = 0;
487 }
488 if (up)
489 {
490 up[0] = (sp*cy);
491 up[1] = (sp*sy);
492 up[2] = cp;
493 }
494 }
495 }
496 }
497
AngleVectorsFLU(const vec3_t angles,vec3_t forward,vec3_t left,vec3_t up)498 void AngleVectorsFLU (const vec3_t angles, vec3_t forward, vec3_t left, vec3_t up)
499 {
500 double angle, sr, sp, sy, cr, cp, cy;
501
502 angle = angles[YAW] * (M_PI*2 / 360);
503 sy = sin(angle);
504 cy = cos(angle);
505 angle = angles[PITCH] * (M_PI*2 / 360);
506 sp = sin(angle);
507 cp = cos(angle);
508 if (forward)
509 {
510 forward[0] = cp*cy;
511 forward[1] = cp*sy;
512 forward[2] = -sp;
513 }
514 if (left || up)
515 {
516 if (angles[ROLL])
517 {
518 angle = angles[ROLL] * (M_PI*2 / 360);
519 sr = sin(angle);
520 cr = cos(angle);
521 if (left)
522 {
523 left[0] = sr*sp*cy+cr*-sy;
524 left[1] = sr*sp*sy+cr*cy;
525 left[2] = sr*cp;
526 }
527 if (up)
528 {
529 up[0] = cr*sp*cy+-sr*-sy;
530 up[1] = cr*sp*sy+-sr*cy;
531 up[2] = cr*cp;
532 }
533 }
534 else
535 {
536 if (left)
537 {
538 left[0] = -sy;
539 left[1] = cy;
540 left[2] = 0;
541 }
542 if (up)
543 {
544 up[0] = sp*cy;
545 up[1] = sp*sy;
546 up[2] = cp;
547 }
548 }
549 }
550 }
551
AngleVectorsDuke3DFLU(const vec3_t angles,vec3_t forward,vec3_t left,vec3_t up,double maxShearAngle)552 void AngleVectorsDuke3DFLU (const vec3_t angles, vec3_t forward, vec3_t left, vec3_t up, double maxShearAngle)
553 {
554 double angle, sr, sy, cr, cy;
555 double sxx, sxz, szx, szz;
556 double cosMaxShearAngle = cos(maxShearAngle * (M_PI*2 / 360));
557 double tanMaxShearAngle = tan(maxShearAngle * (M_PI*2 / 360));
558
559 angle = angles[YAW] * (M_PI*2 / 360);
560 sy = sin(angle);
561 cy = cos(angle);
562 angle = angles[PITCH] * (M_PI*2 / 360);
563
564 // We will calculate a shear matrix pitch = [[sxx sxz][szx szz]].
565
566 if (fabs(cos(angle)) > cosMaxShearAngle)
567 {
568 // Pure shear. Keep the original sign of the coefficients.
569 sxx = 1;
570 sxz = 0;
571 szx = -tan(angle);
572 szz = 1;
573 // Covering angle per screen coordinate:
574 // d/dt arctan((sxz + t*szz) / (sxx + t*szx)) @ t=0
575 // d_angle = det(S) / (sxx*sxx + szx*szx)
576 // = 1 / (1 + tan^2 angle)
577 // = cos^2 angle.
578 }
579 else
580 {
581 // A mix of shear and rotation. Implementation-wise, we're
582 // looking at a capsule, and making the screen surface
583 // tangential to it... and if we get here, we're looking at the
584 // two half-spheres of the capsule (and the cylinder part is
585 // handled above).
586 double x, y, h, t, d, f;
587 h = tanMaxShearAngle;
588 x = cos(angle);
589 y = sin(angle);
590 t = h * fabs(y) + sqrt(1 - (h * x) * (h * x));
591 sxx = x * t;
592 sxz = y * t - h * (y > 0 ? 1.0 : -1.0);
593 szx = -y * t;
594 szz = x * t;
595 // BUT: keep the amount of a sphere we see in pitch direction
596 // invariant.
597 // Covering angle per screen coordinate:
598 // d_angle = det(S) / (sxx*sxx + szx*szx)
599 d = (sxx * szz - sxz * szx) / (sxx * sxx + szx * szx);
600 f = cosMaxShearAngle * cosMaxShearAngle / d;
601 sxz *= f;
602 szz *= f;
603 }
604
605 if (forward)
606 {
607 forward[0] = sxx*cy;
608 forward[1] = sxx*sy;
609 forward[2] = szx;
610 }
611 if (left || up)
612 {
613 if (angles[ROLL])
614 {
615 angle = angles[ROLL] * (M_PI*2 / 360);
616 sr = sin(angle);
617 cr = cos(angle);
618 if (left)
619 {
620 left[0] = sr*sxz*cy+cr*-sy;
621 left[1] = sr*sxz*sy+cr*cy;
622 left[2] = sr*szz;
623 }
624 if (up)
625 {
626 up[0] = cr*sxz*cy+-sr*-sy;
627 up[1] = cr*sxz*sy+-sr*cy;
628 up[2] = cr*szz;
629 }
630 }
631 else
632 {
633 if (left)
634 {
635 left[0] = -sy;
636 left[1] = cy;
637 left[2] = 0;
638 }
639 if (up)
640 {
641 up[0] = sxz*cy;
642 up[1] = sxz*sy;
643 up[2] = szz;
644 }
645 }
646 }
647 }
648
649 // LordHavoc: calculates pitch/yaw/roll angles from forward and up vectors
AnglesFromVectors(vec3_t angles,const vec3_t forward,const vec3_t up,qboolean flippitch)650 void AnglesFromVectors (vec3_t angles, const vec3_t forward, const vec3_t up, qboolean flippitch)
651 {
652 if (forward[0] == 0 && forward[1] == 0)
653 {
654 if(forward[2] > 0)
655 {
656 angles[PITCH] = -M_PI * 0.5;
657 angles[YAW] = up ? atan2(-up[1], -up[0]) : 0;
658 }
659 else
660 {
661 angles[PITCH] = M_PI * 0.5;
662 angles[YAW] = up ? atan2(up[1], up[0]) : 0;
663 }
664 angles[ROLL] = 0;
665 }
666 else
667 {
668 angles[YAW] = atan2(forward[1], forward[0]);
669 angles[PITCH] = -atan2(forward[2], sqrt(forward[0]*forward[0] + forward[1]*forward[1]));
670 // note: we know that angles[PITCH] is in ]-pi/2..pi/2[ due to atan2(anything, positive)
671 if (up)
672 {
673 vec_t cp = cos(angles[PITCH]), sp = sin(angles[PITCH]);
674 // note: we know cp > 0, due to the range angles[pitch] is in
675 vec_t cy = cos(angles[YAW]), sy = sin(angles[YAW]);
676 vec3_t tleft, tup;
677 tleft[0] = -sy;
678 tleft[1] = cy;
679 tleft[2] = 0;
680 tup[0] = sp*cy;
681 tup[1] = sp*sy;
682 tup[2] = cp;
683 angles[ROLL] = -atan2(DotProduct(up, tleft), DotProduct(up, tup));
684 // for up == '0 0 1', this is
685 // angles[ROLL] = -atan2(0, cp);
686 // which is 0
687 }
688 else
689 angles[ROLL] = 0;
690
691 // so no up vector is equivalent to '1 0 0'!
692 }
693
694 // now convert radians to degrees, and make all values positive
695 VectorScale(angles, 180.0 / M_PI, angles);
696 if (flippitch)
697 angles[PITCH] *= -1;
698 if (angles[PITCH] < 0) angles[PITCH] += 360;
699 if (angles[YAW] < 0) angles[YAW] += 360;
700 if (angles[ROLL] < 0) angles[ROLL] += 360;
701
702 #if 0
703 {
704 // debugging code
705 vec3_t tforward, tleft, tup, nforward, nup;
706 VectorCopy(forward, nforward);
707 VectorNormalize(nforward);
708 if (up)
709 {
710 VectorCopy(up, nup);
711 VectorNormalize(nup);
712 AngleVectors(angles, tforward, tleft, tup);
713 if (VectorDistance(tforward, nforward) > 0.01 || VectorDistance(tup, nup) > 0.01)
714 {
715 Con_Printf("vectoangles('%f %f %f', '%f %f %f') = %f %f %f\n", nforward[0], nforward[1], nforward[2], nup[0], nup[1], nup[2], angles[0], angles[1], angles[2]);
716 Con_Printf("^3But that is '%f %f %f', '%f %f %f'\n", tforward[0], tforward[1], tforward[2], tup[0], tup[1], tup[2]);
717 }
718 }
719 else
720 {
721 AngleVectors(angles, tforward, tleft, tup);
722 if (VectorDistance(tforward, nforward) > 0.01)
723 {
724 Con_Printf("vectoangles('%f %f %f') = %f %f %f\n", nforward[0], nforward[1], nforward[2], angles[0], angles[1], angles[2]);
725 Con_Printf("^3But that is '%f %f %f'\n", tforward[0], tforward[1], tforward[2]);
726 }
727 }
728 }
729 #endif
730 }
731
732 #if 0
733 void AngleMatrix (const vec3_t angles, const vec3_t translate, vec_t matrix[][4])
734 {
735 double angle, sr, sp, sy, cr, cp, cy;
736
737 angle = angles[YAW] * (M_PI*2 / 360);
738 sy = sin(angle);
739 cy = cos(angle);
740 angle = angles[PITCH] * (M_PI*2 / 360);
741 sp = sin(angle);
742 cp = cos(angle);
743 angle = angles[ROLL] * (M_PI*2 / 360);
744 sr = sin(angle);
745 cr = cos(angle);
746 matrix[0][0] = cp*cy;
747 matrix[0][1] = sr*sp*cy+cr*-sy;
748 matrix[0][2] = cr*sp*cy+-sr*-sy;
749 matrix[0][3] = translate[0];
750 matrix[1][0] = cp*sy;
751 matrix[1][1] = sr*sp*sy+cr*cy;
752 matrix[1][2] = cr*sp*sy+-sr*cy;
753 matrix[1][3] = translate[1];
754 matrix[2][0] = -sp;
755 matrix[2][1] = sr*cp;
756 matrix[2][2] = cr*cp;
757 matrix[2][3] = translate[2];
758 }
759 #endif
760
761
762 // LordHavoc: renamed this to Length, and made the normal one a #define
VectorNormalizeLength(vec3_t v)763 float VectorNormalizeLength (vec3_t v)
764 {
765 float length, ilength;
766
767 length = v[0]*v[0] + v[1]*v[1] + v[2]*v[2];
768 length = sqrt (length);
769
770 if (length)
771 {
772 ilength = 1/length;
773 v[0] *= ilength;
774 v[1] *= ilength;
775 v[2] *= ilength;
776 }
777
778 return length;
779
780 }
781
782
783 /*
784 ================
785 R_ConcatRotations
786 ================
787 */
R_ConcatRotations(const float in1[3* 3],const float in2[3* 3],float out[3* 3])788 void R_ConcatRotations (const float in1[3*3], const float in2[3*3], float out[3*3])
789 {
790 out[0*3+0] = in1[0*3+0] * in2[0*3+0] + in1[0*3+1] * in2[1*3+0] + in1[0*3+2] * in2[2*3+0];
791 out[0*3+1] = in1[0*3+0] * in2[0*3+1] + in1[0*3+1] * in2[1*3+1] + in1[0*3+2] * in2[2*3+1];
792 out[0*3+2] = in1[0*3+0] * in2[0*3+2] + in1[0*3+1] * in2[1*3+2] + in1[0*3+2] * in2[2*3+2];
793 out[1*3+0] = in1[1*3+0] * in2[0*3+0] + in1[1*3+1] * in2[1*3+0] + in1[1*3+2] * in2[2*3+0];
794 out[1*3+1] = in1[1*3+0] * in2[0*3+1] + in1[1*3+1] * in2[1*3+1] + in1[1*3+2] * in2[2*3+1];
795 out[1*3+2] = in1[1*3+0] * in2[0*3+2] + in1[1*3+1] * in2[1*3+2] + in1[1*3+2] * in2[2*3+2];
796 out[2*3+0] = in1[2*3+0] * in2[0*3+0] + in1[2*3+1] * in2[1*3+0] + in1[2*3+2] * in2[2*3+0];
797 out[2*3+1] = in1[2*3+0] * in2[0*3+1] + in1[2*3+1] * in2[1*3+1] + in1[2*3+2] * in2[2*3+1];
798 out[2*3+2] = in1[2*3+0] * in2[0*3+2] + in1[2*3+1] * in2[1*3+2] + in1[2*3+2] * in2[2*3+2];
799 }
800
801
802 /*
803 ================
804 R_ConcatTransforms
805 ================
806 */
R_ConcatTransforms(const float in1[3* 4],const float in2[3* 4],float out[3* 4])807 void R_ConcatTransforms (const float in1[3*4], const float in2[3*4], float out[3*4])
808 {
809 out[0*4+0] = in1[0*4+0] * in2[0*4+0] + in1[0*4+1] * in2[1*4+0] + in1[0*4+2] * in2[2*4+0];
810 out[0*4+1] = in1[0*4+0] * in2[0*4+1] + in1[0*4+1] * in2[1*4+1] + in1[0*4+2] * in2[2*4+1];
811 out[0*4+2] = in1[0*4+0] * in2[0*4+2] + in1[0*4+1] * in2[1*4+2] + in1[0*4+2] * in2[2*4+2];
812 out[0*4+3] = in1[0*4+0] * in2[0*4+3] + in1[0*4+1] * in2[1*4+3] + in1[0*4+2] * in2[2*4+3] + in1[0*4+3];
813 out[1*4+0] = in1[1*4+0] * in2[0*4+0] + in1[1*4+1] * in2[1*4+0] + in1[1*4+2] * in2[2*4+0];
814 out[1*4+1] = in1[1*4+0] * in2[0*4+1] + in1[1*4+1] * in2[1*4+1] + in1[1*4+2] * in2[2*4+1];
815 out[1*4+2] = in1[1*4+0] * in2[0*4+2] + in1[1*4+1] * in2[1*4+2] + in1[1*4+2] * in2[2*4+2];
816 out[1*4+3] = in1[1*4+0] * in2[0*4+3] + in1[1*4+1] * in2[1*4+3] + in1[1*4+2] * in2[2*4+3] + in1[1*4+3];
817 out[2*4+0] = in1[2*4+0] * in2[0*4+0] + in1[2*4+1] * in2[1*4+0] + in1[2*4+2] * in2[2*4+0];
818 out[2*4+1] = in1[2*4+0] * in2[0*4+1] + in1[2*4+1] * in2[1*4+1] + in1[2*4+2] * in2[2*4+1];
819 out[2*4+2] = in1[2*4+0] * in2[0*4+2] + in1[2*4+1] * in2[1*4+2] + in1[2*4+2] * in2[2*4+2];
820 out[2*4+3] = in1[2*4+0] * in2[0*4+3] + in1[2*4+1] * in2[1*4+3] + in1[2*4+2] * in2[2*4+3] + in1[2*4+3];
821 }
822
RadiusFromBounds(const vec3_t mins,const vec3_t maxs)823 float RadiusFromBounds (const vec3_t mins, const vec3_t maxs)
824 {
825 vec3_t m1, m2;
826 VectorMultiply(mins, mins, m1);
827 VectorMultiply(maxs, maxs, m2);
828 return sqrt(max(m1[0], m2[0]) + max(m1[1], m2[1]) + max(m1[2], m2[2]));
829 }
830
RadiusFromBoundsAndOrigin(const vec3_t mins,const vec3_t maxs,const vec3_t origin)831 float RadiusFromBoundsAndOrigin (const vec3_t mins, const vec3_t maxs, const vec3_t origin)
832 {
833 vec3_t m1, m2;
834 VectorSubtract(mins, origin, m1);VectorMultiply(m1, m1, m1);
835 VectorSubtract(maxs, origin, m2);VectorMultiply(m2, m2, m2);
836 return sqrt(max(m1[0], m2[0]) + max(m1[1], m2[1]) + max(m1[2], m2[2]));
837 }
838
Mathlib_Init(void)839 void Mathlib_Init(void)
840 {
841 int a;
842
843 // LordHavoc: setup 1.0f / N table for quick recipricols of integers
844 ixtable[0] = 0;
845 for (a = 1;a < 4096;a++)
846 ixtable[a] = 1.0f / a;
847 }
848
849 #include "matrixlib.h"
850
Matrix4x4_Print(const matrix4x4_t * in)851 void Matrix4x4_Print(const matrix4x4_t *in)
852 {
853 Con_Printf("%f %f %f %f\n%f %f %f %f\n%f %f %f %f\n%f %f %f %f\n"
854 , in->m[0][0], in->m[0][1], in->m[0][2], in->m[0][3]
855 , in->m[1][0], in->m[1][1], in->m[1][2], in->m[1][3]
856 , in->m[2][0], in->m[2][1], in->m[2][2], in->m[2][3]
857 , in->m[3][0], in->m[3][1], in->m[3][2], in->m[3][3]);
858 }
859
Math_atov(const char * s,prvm_vec3_t out)860 int Math_atov(const char *s, prvm_vec3_t out)
861 {
862 int i;
863 VectorClear(out);
864 if (*s == '\'')
865 s++;
866 for (i = 0;i < 3;i++)
867 {
868 while (*s == ' ' || *s == '\t')
869 s++;
870 out[i] = atof (s);
871 if (out[i] == 0 && *s != '-' && *s != '+' && (*s < '0' || *s > '9'))
872 break; // not a number
873 while (*s && *s != ' ' && *s !='\t' && *s != '\'')
874 s++;
875 if (*s == '\'')
876 break;
877 }
878 return i;
879 }
880
BoxFromPoints(vec3_t mins,vec3_t maxs,int numpoints,vec_t * point3f)881 void BoxFromPoints(vec3_t mins, vec3_t maxs, int numpoints, vec_t *point3f)
882 {
883 int i;
884 VectorCopy(point3f, mins);
885 VectorCopy(point3f, maxs);
886 for (i = 1, point3f += 3;i < numpoints;i++, point3f += 3)
887 {
888 mins[0] = min(mins[0], point3f[0]);maxs[0] = max(maxs[0], point3f[0]);
889 mins[1] = min(mins[1], point3f[1]);maxs[1] = max(maxs[1], point3f[1]);
890 mins[2] = min(mins[2], point3f[2]);maxs[2] = max(maxs[2], point3f[2]);
891 }
892 }
893
894 // LordHavoc: this has to be done right or you get severe precision breakdown
LoopingFrameNumberFromDouble(double t,int loopframes)895 int LoopingFrameNumberFromDouble(double t, int loopframes)
896 {
897 if (loopframes)
898 return (int)(t - floor(t/loopframes)*loopframes);
899 else
900 return (int)t;
901 }
902
903 static unsigned int mul_Lecuyer[4] = { 0x12e15e35, 0xb500f16e, 0x2e714eb2, 0xb37916a5 };
904
mul128(unsigned int a[],unsigned int b[],unsigned int dest[4])905 static void mul128(unsigned int a[], unsigned int b[], unsigned int dest[4])
906 {
907 unsigned long long t[4];
908 t[0] = a[0] * b[0];
909 t[1] = a[1] * b[1];
910 t[2] = a[2] * b[2];
911 t[3] = a[3] * b[3];
912
913 // this is complicated because C doesn't have a way to make use of the
914 // cpu status carry flag, so we do it all in reverse order from what
915 // would otherwise make sense, and have to make multiple passes...
916 t[3] += t[2] >> 32; t[2] &= 0xffffffff;
917 t[2] += t[1] >> 32; t[1] &= 0xffffffff;
918 t[1] += t[0] >> 32; t[0] &= 0xffffffff;
919
920 t[3] += t[2] >> 32; t[2] &= 0xffffffff;
921 t[2] += t[1] >> 32; t[1] &= 0xffffffff;
922
923 t[3] += t[2] >> 32; t[2] &= 0xffffffff;
924
925 dest[0] = t[0] & 0xffffffff;
926 dest[1] = t[1] & 0xffffffff;
927 dest[2] = t[2] & 0xffffffff;
928 dest[3] = t[3] & 0xffffffff;
929 }
930
Math_RandomSeed_Reset(randomseed_t * r)931 void Math_RandomSeed_Reset(randomseed_t *r)
932 {
933 r->s[0] = 1;
934 r->s[1] = 0;
935 r->s[2] = 0;
936 r->s[3] = 0;
937 }
938
Math_RandomSeed_FromInt(randomseed_t * r,unsigned int n)939 void Math_RandomSeed_FromInt(randomseed_t *r, unsigned int n)
940 {
941 // if the entire s[] is zero the algorithm would break completely, so make sure it isn't zero by putting a 1 here
942 r->s[0] = 1;
943 r->s[1] = 0;
944 r->s[2] = 0;
945 r->s[3] = n;
946 }
947
Math_rand64(randomseed_t * r)948 unsigned long long Math_rand64(randomseed_t *r)
949 {
950 unsigned int o[4];
951 mul128(r->s, mul_Lecuyer, o);
952 r->s[0] = o[0];
953 r->s[1] = o[1];
954 r->s[2] = o[2];
955 r->s[3] = o[3];
956 return ((unsigned long long)o[3] << 32) + o[2];
957 }
958
Math_randomf(randomseed_t * r)959 float Math_randomf(randomseed_t *r)
960 {
961 unsigned long long n = Math_rand64(r);
962 return n * (0.25f / 0x80000000 / 0x80000000);
963 }
964
Math_crandomf(randomseed_t * r)965 float Math_crandomf(randomseed_t *r)
966 {
967 // do this with a signed number and double the result, so we make use of all parts of the cow
968 long long n = (long long)Math_rand64(r);
969 return n * (0.5f / 0x80000000 / 0x80000000);
970 }
971
Math_randomrangef(randomseed_t * r,float minf,float maxf)972 float Math_randomrangef(randomseed_t *r, float minf, float maxf)
973 {
974 return Math_randomf(r) * (maxf - minf) + minf;
975 }
976
Math_randomrangei(randomseed_t * r,int mini,int maxi)977 int Math_randomrangei(randomseed_t *r, int mini, int maxi)
978 {
979 unsigned long long n = Math_rand64(r);
980 return (int)(((n >> 33) * (maxi - mini) + mini) >> 31);
981 }
982