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1 /*
2  * Copyright (C) 2009 Andy Spencer <spenceal@rose-hulman.edu>
3  * 
4  * This program is free software: you can redistribute it and/or modify
5  * it under the terms of the GNU General Public License as published by
6  * the Free Software Foundation, either version 3 of the License, or
7  * (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.  See the
12  * GNU General Public License for more details.
13  * 
14  * You should have received a copy of the GNU General Public License
15  * along with this program.  If not, see <http://www.gnu.org/licenses/>.
16  */
17
18 #include <glib.h>
19 #include <math.h>
20 #include <string.h>
21 #include "gpqueue.h"
22 #include <GL/gl.h>
23 #include <GL/glu.h>
24
25 #include "roam.h"
26
27 /**
28  * TODO:
29  *   - Optimize for memory consumption
30  *   - Profile for computation speed
31  *   - Target polygon count/detail
32  */
33
34 /* Misc */
35 RoamView *roam_view_get()
36 {
37         RoamView *view = g_new0(RoamView, 1);
38         glGetDoublev (GL_MODELVIEW_MATRIX,  view->model); 
39         glGetDoublev (GL_PROJECTION_MATRIX, view->proj); 
40         glGetIntegerv(GL_VIEWPORT,          view->view);          
41         return view;
42 }
43
44 /* For GPQueue comparators */
45 static gint tri_cmp(RoamTriangle *a, RoamTriangle *b, gpointer data)
46 {
47         if      (a->error < b->error) return  1;
48         else if (a->error > b->error) return -1;
49         else                          return  0;
50 }
51 static gint dia_cmp(RoamDiamond *a, RoamDiamond *b, gpointer data)
52 {
53         if      (a->error < b->error) return -1;
54         else if (a->error > b->error) return  1;
55         else                          return  0;
56 }
57
58 /*************
59  * RoamPoint *
60  *************/
61 RoamPoint *roam_point_new(double x, double y, double z)
62 {
63         RoamPoint *self = g_new0(RoamPoint, 1);
64         self->x = x;
65         self->y = y;
66         self->z = z;
67         return self;
68 }
69 RoamPoint *roam_point_dup(RoamPoint *self)
70 {
71         RoamPoint *new = g_memdup(self, sizeof(RoamPoint));
72         new->tris = 0;
73         return new;
74 }
75 void roam_point_add_triangle(RoamPoint *self, RoamTriangle *triangle)
76 {
77         for (int i = 0; i < 3; i++) {
78                 self->norm[i] *= self->tris;
79                 self->norm[i] += triangle->norm[i];
80         }
81         self->tris++;
82         for (int i = 0; i < 3; i++)
83                 self->norm[i] /= self->tris;
84 }
85 void roam_point_remove_triangle(RoamPoint *self, RoamTriangle *triangle)
86 {
87         for (int i = 0; i < 3; i++) {
88                 self->norm[i] *= self->tris;
89                 self->norm[i] -= triangle->norm[i];
90         }
91         self->tris--;
92         for (int i = 0; i < 3; i++)
93                 self->norm[i] /= self->tris;
94 }
95 void roam_point_update(RoamPoint *self, RoamSphere *sphere, gboolean do_height)
96 {
97         if (!self->cached) {
98                 /* Cache height */
99                 if (do_height)
100                         sphere->height_func(self, sphere->user_data);
101
102                 /* Cache projection */
103                 gluProject(self->x, self->y, self->z,
104                         sphere->view->model, sphere->view->proj, sphere->view->view,
105                         &self->px, &self->py, &self->pz);
106
107                 self->cached = TRUE;
108         }
109 }
110 void roam_point_clear(RoamPoint *self)
111 {
112         self->cached = FALSE;
113 }
114
115 /****************
116  * RoamTriangle *
117  ****************/
118 RoamTriangle *roam_triangle_new(RoamPoint *l, RoamPoint *m, RoamPoint *r)
119 {
120         RoamTriangle *self = g_new0(RoamTriangle, 1);
121
122         self->p.l = l;
123         self->p.m = m;
124         self->p.r = r;
125
126         self->error = 0;
127
128         /* Update normal */
129         double pa[3];
130         double pb[3];
131         pa[0] = self->p.l->x - self->p.m->x;
132         pa[1] = self->p.l->y - self->p.m->y;
133         pa[2] = self->p.l->z - self->p.m->z;
134
135         pb[0] = self->p.r->x - self->p.m->x;
136         pb[1] = self->p.r->y - self->p.m->y;
137         pb[2] = self->p.r->z - self->p.m->z;
138
139         self->norm[0] = pa[1] * pb[2] - pa[2] * pb[1];
140         self->norm[1] = pa[2] * pb[0] - pa[0] * pb[2];
141         self->norm[2] = pa[0] * pb[1] - pa[1] * pb[0];
142
143         double total = sqrt(self->norm[0] * self->norm[0] +
144                             self->norm[1] * self->norm[1] +
145                             self->norm[2] * self->norm[2]);
146
147         self->norm[0] /= total;
148         self->norm[1] /= total;
149         self->norm[2] /= total;
150         
151         //g_message("roam_triangle_new: %p", self);
152         return self;
153 }
154
155 void roam_triangle_add(RoamTriangle *self,
156                 RoamTriangle *left, RoamTriangle *base, RoamTriangle *right,
157                 RoamSphere *sphere)
158 {
159         self->t.l = left;
160         self->t.b = base;
161         self->t.r = right;
162
163         roam_point_add_triangle(self->p.l, self);
164         roam_point_add_triangle(self->p.m, self);
165         roam_point_add_triangle(self->p.r, self);
166
167         if (sphere->view)
168                 roam_triangle_update(self, sphere);
169
170         self->handle = g_pqueue_push(sphere->triangles, self);
171 }
172
173 void roam_triangle_remove(RoamTriangle *self, RoamSphere *sphere)
174 {
175         /* Update vertex normals */
176         roam_point_remove_triangle(self->p.l, self);
177         roam_point_remove_triangle(self->p.m, self);
178         roam_point_remove_triangle(self->p.r, self);
179
180         g_pqueue_remove(sphere->triangles, self->handle);
181 }
182
183 void roam_triangle_sync_neighbors(RoamTriangle *new, RoamTriangle *old, RoamTriangle *neigh)
184 {
185         if      (neigh->t.l == old) neigh->t.l = new;
186         else if (neigh->t.b == old) neigh->t.b = new;
187         else if (neigh->t.r == old) neigh->t.r = new;
188         else g_assert_not_reached();
189 }
190
191 gboolean roam_point_visible(RoamPoint *self, RoamSphere *sphere)
192 {
193         gint *view = sphere->view->view;
194         return self->px > view[0] && self->px < view[2] &&
195                self->py > view[1] && self->py < view[3] &&
196                self->pz > 0       && self->pz < 1;
197         //double x, y, z;
198         //int view[4] = {0,0,1,1};
199         //gluProject(self->x, self->y, self->z,
200         //              sphere->view->model, sphere->view->proj, view,
201         //              &x, &y, &z);
202         //return !(x < 0 || x > 1 ||
203         //         y < 0 || y > 1 ||
204         //         z < 0 || z > 1);
205 }
206 gboolean roam_triangle_visible(RoamTriangle *self, RoamSphere *sphere)
207 {
208         /* Do this with a bounding box */
209         return roam_point_visible(self->p.l, sphere) ||
210                roam_point_visible(self->p.m, sphere) ||
211                roam_point_visible(self->p.r, sphere);
212 }
213
214 void roam_triangle_update(RoamTriangle *self, RoamSphere *sphere)
215 {
216         /* Update points */
217         roam_point_update(self->p.l, sphere, TRUE);
218         roam_point_update(self->p.m, sphere, TRUE);
219         roam_point_update(self->p.r, sphere, TRUE);
220
221         /* Not exactly correct, could be out on both sides (middle in) */
222         if (!roam_triangle_visible(self, sphere)) {
223                 self->error = -1;
224         } else {
225                 RoamPoint *l = self->p.l;
226                 RoamPoint *m = self->p.m;
227                 RoamPoint *r = self->p.r;
228
229                 /* TODO: share this with the base */
230                 RoamPoint base = { (l->x + r->x)/2,
231                                    (l->y + r->y)/2,
232                                    (l->z + r->z)/2 };
233                 RoamPoint good = base;
234                 roam_point_update(&base, sphere, FALSE);
235                 roam_point_update(&good, sphere, TRUE);
236
237                 self->error = sqrt((base.px - good.px) * (base.px - good.px) +
238                                    (base.py - good.py) * (base.py - good.py));
239
240                 /* Multiply by size of triangle */
241                 double size = -( l->px * (m->py - r->py) +
242                                  m->px * (r->py - l->py) +
243                                  r->px * (l->py - m->py) ) / 2.0;
244
245                 /* Size < 0 == backface */
246                 self->error *= size;
247         }
248 }
249
250 void roam_triangle_clear(RoamTriangle *self)
251 {
252         /* Clear points */
253         roam_point_clear(self->p.l);
254         roam_point_clear(self->p.m);
255         roam_point_clear(self->p.r);
256 }
257
258 void roam_triangle_split(RoamTriangle *self, RoamSphere *sphere)
259 {
260         //g_message("roam_triangle_split: %p, e=%f\n", self, self->error);
261
262         sphere->polys += 2;
263
264         if (self != self->t.b->t.b)
265                 roam_triangle_split(self->t.b, sphere);
266
267         RoamTriangle *base = self->t.b;
268
269         /* Duplicate midpoint */
270         RoamPoint *mid = roam_point_new(
271                         (self->p.l->x + self->p.r->x)/2,
272                         (self->p.l->y + self->p.r->y)/2,
273                         (self->p.l->z + self->p.r->z)/2);
274         roam_point_update(mid, sphere, TRUE);
275
276         /* Add new triangles */
277         RoamTriangle *sl = roam_triangle_new(self->p.m, mid, self->p.l); // Self Left
278         RoamTriangle *sr = roam_triangle_new(self->p.r, mid, self->p.m); // Self Right
279         RoamTriangle *bl = roam_triangle_new(base->p.m, mid, base->p.l); // Base Left
280         RoamTriangle *br = roam_triangle_new(base->p.r, mid, base->p.m); // Base Right
281
282         /*                tri,l,  base,      r,  sphere */
283         roam_triangle_add(sl, sr, self->t.l, br, sphere);
284         roam_triangle_add(sr, bl, self->t.r, sl, sphere);
285         roam_triangle_add(bl, br, base->t.l, sr, sphere);
286         roam_triangle_add(br, sl, base->t.r, bl, sphere);
287
288         roam_triangle_sync_neighbors(sl, self, self->t.l);
289         roam_triangle_sync_neighbors(sr, self, self->t.r);
290         roam_triangle_sync_neighbors(bl, base, base->t.l);
291         roam_triangle_sync_neighbors(br, base, base->t.r);
292
293         /* Remove old triangles */
294         roam_triangle_remove(self, sphere);
295         roam_triangle_remove(base, sphere);
296
297         /* Add/Remove diamonds */
298         RoamDiamond *diamond = roam_diamond_new(self, base, sl, sr, bl, br);
299         roam_diamond_update(diamond, sphere);
300         roam_diamond_add(diamond, sphere);
301         roam_diamond_remove(self->parent, sphere);
302         roam_diamond_remove(base->parent, sphere);
303 }
304
305 void roam_triangle_draw_normal(RoamTriangle *self)
306 {
307         double center[] = {
308                 (self->p.l->x + self->p.m->x + self->p.r->x)/3.0,
309                 (self->p.l->y + self->p.m->y + self->p.r->y)/3.0,
310                 (self->p.l->z + self->p.m->z + self->p.r->z)/3.0,
311         };
312         double end[] = {
313                 center[0]+self->norm[0]/2,
314                 center[1]+self->norm[1]/2,
315                 center[2]+self->norm[2]/2,
316         };
317         glBegin(GL_LINES);
318         glVertex3dv(center);
319         glVertex3dv(end);
320         glEnd();
321 }
322
323 /***************
324  * RoamDiamond *
325  ***************/
326 RoamDiamond *roam_diamond_new(
327                 RoamTriangle *parent0, RoamTriangle *parent1,
328                 RoamTriangle *kid0, RoamTriangle *kid1,
329                 RoamTriangle *kid2, RoamTriangle *kid3)
330 {
331         RoamDiamond *self = g_new0(RoamDiamond, 1);
332
333         self->kids[0] = kid0;
334         self->kids[1] = kid1;
335         self->kids[2] = kid2;
336         self->kids[3] = kid3;
337
338         kid0->parent = self; 
339         kid1->parent = self; 
340         kid2->parent = self; 
341         kid3->parent = self; 
342
343         self->parents[0] = parent0;
344         self->parents[1] = parent1;
345
346         return self;
347 }
348 void roam_diamond_add(RoamDiamond *self, RoamSphere *sphere)
349 {
350         self->active = TRUE;
351         self->error  = MAX(self->parents[0]->error, self->parents[1]->error);
352         self->handle = g_pqueue_push(sphere->diamonds, self);
353 }
354 void roam_diamond_remove(RoamDiamond *self, RoamSphere *sphere)
355 {
356         if (self && self->active) {
357                 self->active = FALSE;
358                 g_pqueue_remove(sphere->diamonds, self->handle);
359         }
360 }
361 void roam_diamond_merge(RoamDiamond *self, RoamSphere *sphere)
362 {
363         //g_message("roam_diamond_merge: %p, e=%f\n", self, self->error);
364
365         sphere->polys -= 2;
366
367         /* TODO: pick the best split */
368         RoamTriangle **kids = self->kids;
369
370         /* Create triangles */
371         RoamTriangle *tri  = self->parents[0];
372         RoamTriangle *base = self->parents[1];
373
374         roam_triangle_add(tri,  kids[0]->t.b, base, kids[1]->t.b, sphere);
375         roam_triangle_add(base, kids[2]->t.b, tri,  kids[3]->t.b, sphere);
376
377         roam_triangle_sync_neighbors(tri,  kids[0], kids[0]->t.b);
378         roam_triangle_sync_neighbors(tri,  kids[1], kids[1]->t.b);
379         roam_triangle_sync_neighbors(base, kids[2], kids[2]->t.b);
380         roam_triangle_sync_neighbors(base, kids[3], kids[3]->t.b);
381
382         /* Remove triangles */
383         roam_triangle_remove(kids[0], sphere);
384         roam_triangle_remove(kids[1], sphere);
385         roam_triangle_remove(kids[2], sphere);
386         roam_triangle_remove(kids[3], sphere);
387
388         /* Add/Remove triangles */
389         if (tri->t.l->t.l == tri->t.r->t.r &&
390             tri->t.l->t.l != tri && tri->parent) {
391                 roam_diamond_update(tri->parent, sphere);
392                 roam_diamond_add(tri->parent, sphere);
393         }
394
395         if (base->t.l->t.l == base->t.r->t.r &&
396             base->t.l->t.l != base && base->parent) {
397                 roam_diamond_update(base->parent, sphere);
398                 roam_diamond_add(base->parent, sphere);
399         }
400  
401         /* Remove and free diamond and child triangles */
402         roam_diamond_remove(self, sphere);
403         g_assert(self->kids[0]->p.m == self->kids[1]->p.m &&
404                  self->kids[1]->p.m == self->kids[2]->p.m &&
405                  self->kids[2]->p.m == self->kids[3]->p.m);
406         g_assert(self->kids[0]->p.m->tris == 0);
407         g_free(self->kids[0]->p.m);
408         g_free(self->kids[0]);
409         g_free(self->kids[1]);
410         g_free(self->kids[2]);
411         g_free(self->kids[3]);
412         g_free(self);
413 }
414 void roam_diamond_update(RoamDiamond *self, RoamSphere *sphere)
415 {
416         roam_triangle_update(self->parents[0], sphere);
417         roam_triangle_update(self->parents[1], sphere);
418         self->error = MAX(self->parents[0]->error, self->parents[1]->error);
419 }
420
421 /**************
422  * RoamSphere *
423  **************/
424 RoamSphere *roam_sphere_new(RoamTriFunc tri_func, RoamHeightFunc height_func, gpointer user_data)
425 {
426         RoamSphere *self = g_new0(RoamSphere, 1);
427         self->tri_func    = tri_func;
428         self->height_func = height_func;
429         self->user_data   = user_data;
430         self->polys       = 12;
431         self->triangles   = g_pqueue_new((GCompareDataFunc)tri_cmp, NULL);
432         self->diamonds    = g_pqueue_new((GCompareDataFunc)dia_cmp, NULL);
433
434         RoamPoint *vertexes[] = {
435                 roam_point_new( 1, 1, 1), // 0
436                 roam_point_new( 1, 1,-1), // 1
437                 roam_point_new( 1,-1, 1), // 2
438                 roam_point_new( 1,-1,-1), // 3
439                 roam_point_new(-1, 1, 1), // 4
440                 roam_point_new(-1, 1,-1), // 5
441                 roam_point_new(-1,-1, 1), // 6
442                 roam_point_new(-1,-1,-1), // 7
443         };
444         int _triangles[][2][3] = {
445                 /*lv mv rv   ln, bn, rn */
446                 {{3,2,0}, {10, 1, 7}}, // 0
447                 {{0,1,3}, { 9, 0, 2}}, // 1
448                 {{7,3,1}, {11, 3, 1}}, // 2
449                 {{1,5,7}, { 8, 2, 4}}, // 3
450                 {{6,7,5}, {11, 5, 3}}, // 4
451                 {{5,4,6}, { 8, 4, 6}}, // 5
452                 {{2,6,4}, {10, 7, 5}}, // 6
453                 {{4,0,2}, { 9, 6, 0}}, // 7
454                 {{4,5,1}, { 5, 9, 3}}, // 8
455                 {{1,0,4}, { 1, 8, 7}}, // 9
456                 {{6,2,3}, { 6,11, 0}}, // 10
457                 {{3,7,6}, { 2,10, 4}}, // 11
458         };
459         RoamTriangle *triangles[12];
460
461         for (int i = 0; i < 12; i++)
462                 triangles[i] = roam_triangle_new(
463                         vertexes[_triangles[i][0][0]],
464                         vertexes[_triangles[i][0][1]],
465                         vertexes[_triangles[i][0][2]]);
466         for (int i = 0; i < 12; i++)
467                 roam_triangle_add(triangles[i],
468                         triangles[_triangles[i][1][0]],
469                         triangles[_triangles[i][1][1]],
470                         triangles[_triangles[i][1][2]],
471                         self);
472
473         return self;
474 }
475 void roam_sphere_update(RoamSphere *self)
476 {
477         g_debug("RoamSphere: update - polys=%d", self->polys);
478         if (self->view) g_free(self->view);
479         self->view = roam_view_get();
480
481         GPtrArray *tris = g_pqueue_get_array(self->triangles);
482         GPtrArray *dias = g_pqueue_get_array(self->diamonds);
483
484         for (int i = 0; i < tris->len; i++) {
485                 /* Note: this also updates points */
486                 RoamTriangle *tri = tris->pdata[i];
487                 roam_triangle_clear(tri);
488                 roam_triangle_update(tri, self);
489                 g_pqueue_priority_changed(self->triangles, tri->handle);
490         }
491
492         for (int i = 0; i < dias->len; i++) {
493                 RoamDiamond *dia = dias->pdata[i];
494                 roam_diamond_update(dia, self);
495                 g_pqueue_priority_changed(self->diamonds, dia->handle);
496         }
497
498         g_ptr_array_free(tris, TRUE);
499         g_ptr_array_free(dias, TRUE);
500 }
501
502 void roam_sphere_split_one(RoamSphere *self)
503 {
504         RoamTriangle *to_split = g_pqueue_peek(self->triangles);
505         if (!to_split) return;
506         roam_triangle_split(to_split, self);
507 }
508 void roam_sphere_merge_one(RoamSphere *self)
509 {
510         RoamDiamond *to_merge = g_pqueue_peek(self->diamonds);
511         if (!to_merge) return;
512         roam_diamond_merge(to_merge, self);
513 }
514 gint roam_sphere_split_merge(RoamSphere *self)
515 {
516         gint iters = 0, max_iters = 500;
517         gint target = 2000;
518
519         if (!self->view)
520                 return 0;
521
522         if (target - self->polys > 100)
523                 while (self->polys < target && iters++ < max_iters)
524                         roam_sphere_split_one(self);
525
526         if (self->polys - target > 100)
527                 while (self->polys > target && iters++ < max_iters)
528                         roam_sphere_merge_one(self);
529
530         while (((RoamTriangle*)g_pqueue_peek(self->triangles))->error >
531                ((RoamDiamond *)g_pqueue_peek(self->diamonds ))->error &&
532                iters++ < max_iters) {
533                 roam_sphere_merge_one(self);
534                 roam_sphere_split_one(self);
535         }
536
537         return iters;
538 }
539 void roam_sphere_draw(RoamSphere *self)
540 {
541         g_pqueue_foreach(self->triangles, (GFunc)self->tri_func, self->user_data);
542 }
543 void roam_sphere_draw_normals(RoamSphere *self)
544 {
545         g_pqueue_foreach(self->triangles, (GFunc)roam_triangle_draw_normal, NULL);
546 }
547 static void roam_sphere_free_tri(RoamTriangle *tri)
548 {
549         if (--tri->p.l->tris == 0) g_free(tri->p.l);
550         if (--tri->p.m->tris == 0) g_free(tri->p.m);
551         if (--tri->p.r->tris == 0) g_free(tri->p.r);
552         g_free(tri);
553 }
554 void roam_sphere_free(RoamSphere *self)
555 {
556         /* Slow method, but it should work */
557         while (self->polys > 12)
558                 roam_sphere_merge_one(self);
559         /* TODO: free points */
560         g_pqueue_foreach(self->triangles, (GFunc)roam_sphere_free_tri, NULL);
561         g_pqueue_free(self->triangles);
562         g_pqueue_free(self->diamonds);
563         g_free(self);
564 }