1 /* -*- Mode: C; tab-width: 4 -*- */
2 /* Sierpinski3D --- 3D sierpinski gasket */
5 static const char sccsid[] = "@(#)sierpinski3D.c 00.01 99/11/04 xlockmore";
9 * Permission to use, copy, modify, and distribute this software and its
10 * documentation for any purpose and without fee is hereby granted,
11 * provided that the above copyright notice appear in all copies and that
12 * both that copyright notice and this permission notice appear in
13 * supporting documentation.
15 * This file is provided AS IS with no warranties of any kind. The author
16 * shall have no liability with respect to the infringement of copyrights,
17 * trade secrets or any patents by this file or any part thereof. In no
18 * event will the author be liable for any lost revenue or profits or
19 * other special, indirect and consequential damages.
22 * 1999: written by Tim Robinson <the_luggage@bigfoot.com>
23 * a 3-D representation of the Sierpinski gasket fractal.
25 * 10-Dec-99 jwz rewrote to draw a set of tetrahedrons instead of a
26 * random scattering of points.
30 # define DEFAULTS "*delay: 20000 \n" \
31 "*showFPS: False \n" \
32 "*wireframe: False \n" \
33 "*suppressRotationAnimation: True\n" \
35 # define refresh_gasket 0
36 # define release_gasket 0
37 # include "xlockmore.h" /* from the xscreensaver distribution */
38 #else /* !STANDALONE */
39 # include "xlock.h" /* from the xlockmore distribution */
40 #endif /* !STANDALONE */
44 #define DEF_SPIN "True"
45 #define DEF_WANDER "True"
46 #define DEF_SPEED "150"
47 #define DEF_MAX_DEPTH "5"
50 #include "gltrackball.h"
53 #define countof(x) (sizeof((x))/sizeof((*x)))
58 static Bool do_wander;
60 static XrmOptionDescRec opts[] = {
61 {"-depth", ".sierpinski3d.maxDepth", XrmoptionSepArg, 0 },
62 {"-speed", ".sierpinski3d.speed", XrmoptionSepArg, 0 },
63 { "-spin", ".spin", XrmoptionNoArg, "True" },
64 { "+spin", ".spin", XrmoptionNoArg, "False" },
65 { "-wander", ".wander", XrmoptionNoArg, "True" },
66 { "+wander", ".wander", XrmoptionNoArg, "False" },
69 static argtype vars[] = {
70 {&do_spin, "spin", "Spin", DEF_SPIN, t_Bool},
71 {&do_wander, "wander", "Wander", DEF_WANDER, t_Bool},
72 {&speed, "speed", "Speed", DEF_SPEED, t_Int},
73 {&max_depth, "maxDepth", "MaxDepth", DEF_MAX_DEPTH, t_Int},
77 ENTRYPOINT ModeSpecOpt gasket_opts = {countof(opts), opts, countof(vars), vars, NULL};
80 ModStruct gasket_description =
81 {"gasket", "init_gasket", "draw_gasket", NULL,
82 "draw_gasket", "init_gasket", NULL, &gasket_opts,
83 1000, 1, 2, 1, 4, 1.0, "",
84 "Shows GL's Sierpinski gasket", 0, NULL};
93 GLuint gasket0, gasket1, gasket2, gasket3;
94 GLXContext *glx_context;
97 trackball_state *trackball;
113 static gasketstruct *gasket = NULL;
117 triangle (GLfloat x1, GLfloat y1, GLfloat z1,
118 GLfloat x2, GLfloat y2, GLfloat z2,
119 GLfloat x3, GLfloat y3, GLfloat z3,
123 glBegin (GL_LINE_LOOP);
125 glBegin (GL_TRIANGLES);
126 glVertex3f (x1, y1, z1);
127 glVertex3f (x2, y2, z2);
128 glVertex3f (x3, y3, z3);
133 four_tetras (gasketstruct *gp,
134 XYZ *outer, XYZ *normals,
135 Bool wireframe_p, int countdown, int which,
143 glNormal3f (normals[0].x, normals[0].y, normals[0].z);
144 triangle (outer[0].x, outer[0].y, outer[0].z,
145 outer[1].x, outer[1].y, outer[1].z,
146 outer[2].x, outer[2].y, outer[2].z,
151 glNormal3f (normals[1].x, normals[1].y, normals[1].z);
152 triangle (outer[0].x, outer[0].y, outer[0].z,
153 outer[3].x, outer[3].y, outer[3].z,
154 outer[1].x, outer[1].y, outer[1].z,
159 glNormal3f (normals[2].x, normals[2].y, normals[2].z);
160 triangle (outer[0].x, outer[0].y, outer[0].z,
161 outer[2].x, outer[2].y, outer[2].z,
162 outer[3].x, outer[3].y, outer[3].z,
167 glNormal3f (normals[3].x, normals[3].y, normals[3].z);
168 triangle (outer[1].x, outer[1].y, outer[1].z,
169 outer[3].x, outer[3].y, outer[3].z,
170 outer[2].x, outer[2].y, outer[2].z,
185 inner[M01].x = (outer[0].x + outer[1].x) / 2.0;
186 inner[M01].y = (outer[0].y + outer[1].y) / 2.0;
187 inner[M01].z = (outer[0].z + outer[1].z) / 2.0;
189 inner[M02].x = (outer[0].x + outer[2].x) / 2.0;
190 inner[M02].y = (outer[0].y + outer[2].y) / 2.0;
191 inner[M02].z = (outer[0].z + outer[2].z) / 2.0;
193 inner[M03].x = (outer[0].x + outer[3].x) / 2.0;
194 inner[M03].y = (outer[0].y + outer[3].y) / 2.0;
195 inner[M03].z = (outer[0].z + outer[3].z) / 2.0;
197 inner[M12].x = (outer[1].x + outer[2].x) / 2.0;
198 inner[M12].y = (outer[1].y + outer[2].y) / 2.0;
199 inner[M12].z = (outer[1].z + outer[2].z) / 2.0;
201 inner[M13].x = (outer[1].x + outer[3].x) / 2.0;
202 inner[M13].y = (outer[1].y + outer[3].y) / 2.0;
203 inner[M13].z = (outer[1].z + outer[3].z) / 2.0;
205 inner[M23].x = (outer[2].x + outer[3].x) / 2.0;
206 inner[M23].y = (outer[2].y + outer[3].y) / 2.0;
207 inner[M23].z = (outer[2].z + outer[3].z) / 2.0;
211 corner[0] = outer[0];
212 corner[1] = inner[M01];
213 corner[2] = inner[M02];
214 corner[3] = inner[M03];
215 four_tetras (gp, corner, normals, wireframe_p, countdown, which, countP);
217 corner[0] = inner[M01];
218 corner[1] = outer[1];
219 corner[2] = inner[M12];
220 corner[3] = inner[M13];
221 four_tetras (gp, corner, normals, wireframe_p, countdown, which, countP);
223 corner[0] = inner[M02];
224 corner[1] = inner[M12];
225 corner[2] = outer[2];
226 corner[3] = inner[M23];
227 four_tetras (gp, corner, normals, wireframe_p, countdown, which, countP);
229 corner[0] = inner[M03];
230 corner[1] = inner[M13];
231 corner[2] = inner[M23];
232 corner[3] = outer[3];
233 four_tetras (gp, corner, normals, wireframe_p, countdown, which, countP);
239 compile_gasket(ModeInfo *mi, int which)
241 Bool wireframe_p = MI_IS_WIREFRAME(mi);
242 gasketstruct *gp = &gasket[MI_SCREEN(mi)];
247 vertex[0].x = -1; vertex[0].y = -1; vertex[0].z = -1;
248 vertex[1].x = 1; vertex[1].y = 1; vertex[1].z = -1;
249 vertex[2].x = 1; vertex[2].y = -1; vertex[2].z = 1;
250 vertex[3].x = -1; vertex[3].y = 1; vertex[3].z = 1;
251 vertex[4].x = 0; vertex[4].y = 0; vertex[4].z = 0; /* center */
253 normal[0].x = 1; normal[0].y = -1; normal[0].z = -1;
254 normal[1].x = -1; normal[1].y = 1; normal[1].z = -1;
255 normal[2].x = -1; normal[2].y = -1; normal[2].z = 1;
256 normal[3].x = 1; normal[3].y = 1; normal[3].z = 1;
258 four_tetras (gp, vertex, normal, wireframe_p,
259 (gp->current_depth < 0
260 ? -gp->current_depth : gp->current_depth),
263 mi->polygon_count += count;
269 Bool wireframe_p = MI_IS_WIREFRAME(mi);
270 gasketstruct *gp = &gasket[MI_SCREEN(mi)];
272 static const GLfloat pos[] = {-4.0, 3.0, 10.0, 1.0};
273 static const GLfloat white[] = {1.0, 1.0, 1.0, 1.0};
275 GLfloat color0[] = {0.0, 0.0, 0.0, 1.0};
276 GLfloat color1[] = {0.0, 0.0, 0.0, 1.0};
277 GLfloat color2[] = {0.0, 0.0, 0.0, 1.0};
278 GLfloat color3[] = {0.0, 0.0, 0.0, 1.0};
280 glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT);
286 glLightfv(GL_LIGHT0, GL_POSITION, pos);
288 color0[0] = gp->colors[gp->ccolor0].red / 65536.0;
289 color0[1] = gp->colors[gp->ccolor0].green / 65536.0;
290 color0[2] = gp->colors[gp->ccolor0].blue / 65536.0;
292 color1[0] = gp->colors[gp->ccolor1].red / 65536.0;
293 color1[1] = gp->colors[gp->ccolor1].green / 65536.0;
294 color1[2] = gp->colors[gp->ccolor1].blue / 65536.0;
296 color2[0] = gp->colors[gp->ccolor2].red / 65536.0;
297 color2[1] = gp->colors[gp->ccolor2].green / 65536.0;
298 color2[2] = gp->colors[gp->ccolor2].blue / 65536.0;
300 color3[0] = gp->colors[gp->ccolor3].red / 65536.0;
301 color3[1] = gp->colors[gp->ccolor3].green / 65536.0;
302 color3[2] = gp->colors[gp->ccolor3].blue / 65536.0;
308 if (gp->ccolor0 >= gp->ncolors) gp->ccolor0 = 0;
309 if (gp->ccolor1 >= gp->ncolors) gp->ccolor1 = 0;
310 if (gp->ccolor2 >= gp->ncolors) gp->ccolor2 = 0;
311 if (gp->ccolor3 >= gp->ncolors) gp->ccolor3 = 0;
313 glShadeModel(GL_SMOOTH);
315 glEnable(GL_LIGHTING);
319 glEnable(GL_DEPTH_TEST);
320 glEnable(GL_NORMALIZE);
321 glEnable(GL_CULL_FACE);
327 get_position (gp->rot, &x, &y, &z, !gp->button_down_p);
328 glTranslatef((x - 0.5) * 10,
332 gltrackball_rotate (gp->trackball);
334 get_rotation (gp->rot, &x, &y, &z, !gp->button_down_p);
335 glRotatef (x * 360, 1.0, 0.0, 0.0);
336 glRotatef (y * 360, 0.0, 1.0, 0.0);
337 glRotatef (z * 360, 0.0, 0.0, 1.0);
342 glMaterialfv (GL_FRONT, GL_AMBIENT_AND_DIFFUSE, color0);
343 glCallList(gp->gasket0);
344 glMaterialfv (GL_FRONT, GL_AMBIENT_AND_DIFFUSE, color1);
345 glCallList(gp->gasket1);
346 glMaterialfv (GL_FRONT, GL_AMBIENT_AND_DIFFUSE, color2);
347 glCallList(gp->gasket2);
348 glMaterialfv (GL_FRONT, GL_AMBIENT_AND_DIFFUSE, color3);
349 glCallList(gp->gasket3);
354 if (gp->tick++ >= speed)
357 if (gp->current_depth >= max_depth)
358 gp->current_depth = -max_depth;
361 /* We make four different lists so that each face of the tetrahedrons
362 can have a different color (all triangles facing in the same
363 direction have the same color, which is different from all
364 triangles facing in other directions.)
366 glDeleteLists (gp->gasket0, 1);
367 glDeleteLists (gp->gasket1, 1);
368 glDeleteLists (gp->gasket2, 1);
369 glDeleteLists (gp->gasket3, 1);
371 mi->polygon_count = 0;
372 glNewList (gp->gasket0, GL_COMPILE); compile_gasket (mi, 0); glEndList();
373 glNewList (gp->gasket1, GL_COMPILE); compile_gasket (mi, 1); glEndList();
374 glNewList (gp->gasket2, GL_COMPILE); compile_gasket (mi, 2); glEndList();
375 glNewList (gp->gasket3, GL_COMPILE); compile_gasket (mi, 3); glEndList();
377 mi->recursion_depth = (gp->current_depth > 0
379 : -gp->current_depth);
384 /* new window size or exposure */
386 reshape_gasket(ModeInfo *mi, int width, int height)
388 GLfloat h = (GLfloat) height / (GLfloat) width;
390 glViewport(0, 0, (GLint) width, (GLint) height);
391 glMatrixMode(GL_PROJECTION);
393 gluPerspective (30.0, 1/h, 1.0, 100.0);
395 glMatrixMode(GL_MODELVIEW);
397 gluLookAt( 0.0, 0.0, 30.0,
401 # ifdef HAVE_MOBILE /* Keep it the same relative size when rotated. */
403 int o = (int) current_device_rotation();
404 if (o != 0 && o != 180 && o != -180)
405 glScalef (1/h, 1/h, 1/h);
409 glClear(GL_COLOR_BUFFER_BIT);
415 gasketstruct *gp = &gasket[MI_SCREEN(mi)];
417 /* draw the gasket */
418 gp->gasket0 = glGenLists(1);
419 gp->gasket1 = glGenLists(1);
420 gp->gasket2 = glGenLists(1);
421 gp->gasket3 = glGenLists(1);
422 gp->current_depth = 1; /* start out at level 1, not 0 */
427 gasket_handle_event (ModeInfo *mi, XEvent *event)
429 gasketstruct *gp = &gasket[MI_SCREEN(mi)];
431 if (gltrackball_event_handler (event, gp->trackball,
432 MI_WIDTH (mi), MI_HEIGHT (mi),
435 else if (event->xany.type == KeyPress)
439 XLookupString (&event->xkey, &c, 1, &keysym, 0);
440 if (c == '+' || c == '=' ||
441 keysym == XK_Up || keysym == XK_Right || keysym == XK_Next)
444 gp->current_depth += (gp->current_depth > 0 ? 1 : -1);
448 else if (c == '-' || c == '_' ||
449 keysym == XK_Down || keysym == XK_Left || keysym == XK_Prior)
452 gp->current_depth -= (gp->current_depth > 0 ? 1 : -1);
456 else if (screenhack_event_helper (MI_DISPLAY(mi), MI_WINDOW(mi), event))
459 else if (screenhack_event_helper (MI_DISPLAY(mi), MI_WINDOW(mi), event))
470 static void free_gasket(ModeInfo * mi);
474 init_gasket(ModeInfo *mi)
476 int screen = MI_SCREEN(mi);
479 MI_INIT (mi, gasket, free_gasket);
480 gp = &gasket[screen];
482 gp->window = MI_WINDOW(mi);
485 double spin_speed = 1.0;
486 double wander_speed = 0.03;
487 gp->rot = make_rotator (do_spin ? spin_speed : 0,
488 do_spin ? spin_speed : 0,
489 do_spin ? spin_speed : 0,
491 do_wander ? wander_speed : 0,
493 gp->trackball = gltrackball_init (True);
497 gp->colors = (XColor *) calloc(gp->ncolors, sizeof(XColor));
498 make_smooth_colormap (0, 0, 0,
499 gp->colors, &gp->ncolors,
502 gp->ccolor1 = gp->ncolors * 0.25;
503 gp->ccolor2 = gp->ncolors * 0.5;
504 gp->ccolor3 = gp->ncolors * 0.75;
507 if ((gp->glx_context = init_GL(mi)) != NULL)
509 reshape_gasket(mi, MI_WIDTH(mi), MI_HEIGHT(mi));
519 draw_gasket(ModeInfo * mi)
521 gasketstruct *gp = &gasket[MI_SCREEN(mi)];
522 Display *display = MI_DISPLAY(mi);
523 Window window = MI_WINDOW(mi);
525 if (!gp->glx_context) return;
527 glDrawBuffer(GL_BACK);
536 7 = 65,536 polygons, 30 fps (3GHz Core 2 Duo, GeForce 8800 GS)
537 8 = 262,144 polygons, 12 fps
538 9 = 1,048,576 polygons, 4 fps
539 10 = 4,194,304 polygons, 1 fps
540 11 = 16,777,216 polygons, 0.3 fps
541 12 = 67,108,864 polygons, OOM!
542 13 = 268,435,456 polygons
543 14 = 1,073,741,824 polygons, 31 bits
544 15 = 4,294,967,296 polygons, 33 bits
545 16 = 17,179,869,184 polygons, 35 bits
550 glXMakeCurrent(display, window, *(gp->glx_context));
552 if (mi->fps_p) do_fps (mi);
554 glXSwapBuffers(display, window);
558 free_gasket(ModeInfo * mi)
560 gasketstruct *gp = &gasket[MI_SCREEN(mi)];
564 /* Display lists MUST be freed while their glXContext is current. */
565 glXMakeCurrent(MI_DISPLAY(mi), gp->window, *(gp->glx_context));
567 if (glIsList(gp->gasket0)) glDeleteLists(gp->gasket0, 1);
568 if (glIsList(gp->gasket1)) glDeleteLists(gp->gasket1, 1);
569 if (glIsList(gp->gasket2)) glDeleteLists(gp->gasket2, 1);
570 if (glIsList(gp->gasket3)) glDeleteLists(gp->gasket3, 1);
574 XSCREENSAVER_MODULE_2 ("Sierpinski3D", sierpinski3d, gasket)
576 /*********************************************************/