1 /* Surface --- Parametric 3d surfaces visualization */
5 * 2000: written by Andrey Mirtchovski <mirtchov@cpsc.ucalgary.ca>
7 * 01-Mar-2003 mirtchov Modified as a xscreensaver hack.
8 * 01-jan-2009 steger Renamed from klein.c to surfaces.c.
9 * Removed the Klein bottle.
10 * Added many new surfaces.
11 * Added many command line options.
15 /* surfaces to draw */
16 #define SURFACE_RANDOM -1
17 #define SURFACE_DINI 0
18 #define SURFACE_ENNEPER 1
19 #define SURFACE_KUEN 2
20 #define SURFACE_MOEBIUS 3
21 #define SURFACE_SEASHELL 4
22 #define SURFACE_SWALLOWTAIL 5
23 #define SURFACE_BOHEMIAN 6
24 #define SURFACE_WHITNEY 7
25 #define SURFACE_PLUECKER 8
26 #define SURFACE_HENNEBERG 9
27 #define SURFACE_CATALAN 10
28 #define SURFACE_CORKSCREW 11
29 #define NUM_SURFACES 12
31 /* primitives to draw with
32 * note that we skip the polygons and
33 * triangle fans -- too slow
35 * also removed triangle_strip and quads --
36 * just doesn't look good enough
38 #define RENDER_RANDOM -1
39 #define RENDER_POINTS 0
40 #define RENDER_LINES 1
41 #define RENDER_LINE_LOOP 2
45 # define DEFAULTS "*delay: 20000 \n" \
46 "*showFPS: False \n" \
47 "*suppressRotationAnimation: True\n" \
49 # define free_surface 0
50 # define release_surface 0
51 # include "xlockmore.h" /* from the xscreensaver distribution */
52 #else /* !STANDALONE */
53 # include "xlock.h" /* from the xlockmore distribution */
54 #endif /* !STANDALONE */
58 #define DEF_SURFACE "random"
59 #define DEF_MODE "random"
60 #define DEF_SPIN "True"
61 #define DEF_WANDER "False"
62 #define DEF_SPEED "300"
65 #include "gltrackball.h"
68 #define countof(x) (sizeof((x))/sizeof((*x)))
71 static char *surface_type;
72 static char *render_mode;
76 static Bool do_wander;
78 static XrmOptionDescRec opts[] = {
79 { "-surface", ".surface", XrmoptionSepArg, 0 },
80 { "-random-surface", ".surface", XrmoptionNoArg, "random" },
81 { "-dini", ".surface", XrmoptionNoArg, "dini" },
82 { "-enneper", ".surface", XrmoptionNoArg, "enneper" },
83 { "-kuen", ".surface", XrmoptionNoArg, "kuen" },
84 { "-moebius", ".surface", XrmoptionNoArg, "moebius" },
85 { "-seashell", ".surface", XrmoptionNoArg, "seashell" },
86 { "-swallowtail", ".surface", XrmoptionNoArg, "swallowtail" },
87 { "-bohemian", ".surface", XrmoptionNoArg, "bohemian" },
88 { "-whitney", ".surface", XrmoptionNoArg, "whitney" },
89 { "-pluecker", ".surface", XrmoptionNoArg, "pluecker" },
90 { "-henneberg", ".surface", XrmoptionNoArg, "henneberg" },
91 { "-catalan", ".surface", XrmoptionNoArg, "catalan" },
92 { "-corkscrew", ".surface", XrmoptionNoArg, "corkscrew" },
93 { "-mode", ".mode", XrmoptionSepArg, 0 },
94 { "-random-mode", ".mode", XrmoptionNoArg, "random" },
95 { "-points", ".mode", XrmoptionNoArg, "points" },
96 { "-lines", ".mode", XrmoptionNoArg, "lines" },
97 { "-line-loops", ".mode", XrmoptionNoArg, "line-loops" },
98 { "-speed", ".speed", XrmoptionSepArg, 0 },
99 { "-spin", ".spin", XrmoptionNoArg, "True" },
100 { "+spin", ".spin", XrmoptionNoArg, "False" },
101 { "-wander", ".wander", XrmoptionNoArg, "True" },
102 { "+wander", ".wander", XrmoptionNoArg, "False" },
105 static argtype vars[] = {
106 {&surface_type, "surface", "Surface", DEF_SURFACE, t_String },
107 {&render_mode, "mode", "Mode", DEF_MODE, t_String },
108 {&do_spin, "spin", "Spin", DEF_SPIN, t_Bool },
109 {&do_wander, "wander", "Wander", DEF_WANDER, t_Bool },
110 {&speed, "speed", "Speed", DEF_SPEED, t_Int },
114 ENTRYPOINT ModeSpecOpt surface_opts =
115 {countof(opts), opts, countof(vars), vars, NULL};
126 GLXContext *glx_context;
129 trackball_state *trackball;
144 static surfacestruct *surface = NULL;
147 static void draw(ModeInfo *mi)
149 surfacestruct *sp = &surface[MI_SCREEN(mi)];
154 mi->polygon_count = 0;
155 glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT);
157 glEnable(GL_DEPTH_TEST);
158 glEnable(GL_NORMALIZE);
159 glEnable(GL_CULL_FACE);
165 get_position(sp->rot, &x, &y, &z, !sp->button_down_p);
166 glTranslatef((x-0.5)*10, (y-0.5)*10, (z-0.5)*20);
168 gltrackball_rotate(sp->trackball);
170 get_rotation(sp->rot, &x, &y, &z, !sp->button_down_p);
171 glRotatef(x*360, 1.0, 0.0, 0.0);
172 glRotatef(y*360, 0.0, 1.0, 0.0);
173 glRotatef(z*360, 0.0, 0.0, 1.0);
176 glScalef(4.0, 4.0, 4.0);
181 for (v=0.11; v<=2.0; v+=sp->dv)
184 for (u=0; u<=6.0*M_PI; u+=sp->du)
186 coord[0] = sp->a*cos(u)*sin(v);
187 coord[1] = sp->a*sin(u)*sin(v);
188 coord[2] = sp->a*(cos(v)+log(tan(0.5*v)))+0.2*sp->b*u;
189 glColor3f(coord[0]+0.7, coord[1]+0.7, coord[2]+0.7);
196 case SURFACE_ENNEPER:
197 for (u=-M_PI; u<=M_PI; u+=sp->du)
200 for (v=-M_PI; v<M_PI; v+=sp->dv)
202 coord[0] = sp->a*(u-(1.0/3.0*u*u*u)+u*v*v);
203 coord[1] = sp->b*(v-(1.0/3.0*v*v*v)+u*u*v);
205 glColor3f(coord[0]+0.7, coord[1]+0.7, coord[2]+0.7);
213 for (u=-4.48; u<=4.48; u+=sp->du)
216 for (v=M_PI/51; v<M_PI; v+=sp->dv)
218 coord[0] = 2*(cos(u)+u*sin(u))*sin(v)/(1+u*u*sin(v)*sin(v));
219 coord[1] = 2*(sin(u)-u*cos(u))*sin(v)/(1+u*u*sin(v)*sin(v));
220 coord[2] = log(tan(0.5*v))+2*cos(v)/(1+u*u*sin(v)*sin(v));
221 glColor3f(coord[0]+0.7, coord[1]+0.7, coord[2]+0.7);
228 case SURFACE_MOEBIUS:
229 for (u=-M_PI; u<M_PI; u+=sp->du)
232 for (v=-0.735; v<0.74; v+=sp->dv)
234 coord[0] = cos(u)+v*cos(u/2)*cos(u);
235 coord[1] = sin(u)+v*cos(u/2)*sin(u);
236 coord[2] = v*sin(u/2);
237 glColor3f(coord[0]+0.7, coord[1]+0.7, coord[2]+0.7);
244 case SURFACE_SEASHELL:
245 for (u=0; u<2*M_PI; u+=sp->du)
248 for (v=0; v<2*M_PI; v+=sp->dv)
250 coord[0] = sp->a*(1-v/(2*M_PI))*cos(2*v)*(1+cos(u))+sp->c*cos(2*v);
251 coord[1] = sp->a*(1-v/(2*M_PI))*sin(2*v)*(1+cos(u))+sp->c*sin(2*v);
252 coord[2] = 2*sp->b*v/(2*M_PI)+sp->a*(1-v/(2*M_PI))*sin(u);
253 glColor3f(coord[0]+0.7, coord[1]+0.7, coord[2]+0.7);
260 case SURFACE_SWALLOWTAIL:
261 for (u=-2.5; u<2.0; u+=sp->du)
264 for (v=-1.085; v<1.09; v+=sp->dv)
266 coord[0] = u*v*v+3*v*v*v*v;
267 coord[1] = -2*u*v-4*v*v*v;
269 glColor3f(coord[0]+0.7, coord[1]+0.7, coord[2]+0.7);
276 case SURFACE_BOHEMIAN:
277 for (u=-M_PI; u<M_PI; u+=sp->du)
280 for (v=-M_PI; v<M_PI; v+=sp->dv)
282 coord[0] = sp->a*cos(u);
283 coord[1] = sp->b*cos(v)+sp->a*sin(u);
285 glColor3f(coord[0]+0.7, coord[1]+0.7, coord[2]+0.7);
292 case SURFACE_WHITNEY:
293 for (v=-1.995; v<2.0; v+=sp->dv)
296 for (u=-1.995; u<2.0; u+=sp->du)
301 glColor3f(coord[0]+0.7, coord[1]+0.7, coord[2]+0.7);
308 case SURFACE_PLUECKER:
309 for (u=0; u<2.5; u+=sp->dv)
312 for (v=-M_PI; v<M_PI; v+=sp->du)
316 coord[2] = 2*cos(v)*sin(v);
317 glColor3f(coord[0]+0.7, coord[1]+0.7, coord[2]+0.7);
324 case SURFACE_HENNEBERG:
325 for (u=0.9; u<2.55; u+=sp->dv)
328 for (v=-M_PI; v<M_PI; v+=sp->du)
330 coord[0] = sinh(1.0/3.0*u)*cos(v)-1.0/3.0*sinh(u)*cos(3.0*v);
331 coord[1] = sinh(1.0/3.0*u)*sin(v)+1.0/3.0*sinh(u)*sin(3.0*v);
332 coord[2] = cosh(2.0/3.0*u)*cos(2.0*v);
333 glColor3f(coord[0]+0.7, coord[1]+0.7, coord[2]+0.7);
340 case SURFACE_CATALAN:
341 for (v=-2; v<2; v+=sp->du)
344 for (u=-2*M_PI; u<2*M_PI+0.05; u+=sp->dv)
346 coord[0] = 0.33*(u-sin(u)*cosh(v));
347 coord[1] = 0.33*(1.0-cos(u)*cosh(v));
348 coord[2] = 0.33*4.0*sin(0.5*u)*sinh(0.5*v);
349 glColor3f(coord[0]+0.7, coord[1]+0.7, coord[2]+0.7);
356 case SURFACE_CORKSCREW:
357 for (v=-M_PI; v<M_PI; v+=sp->du)
360 for (u=-M_PI; u<M_PI; u+=sp->dv)
362 coord[0] = 0.5*(sp->a+2.0)*cos(u)*cos(v);
363 coord[1] = 0.5*(sp->a+2.0)*sin(u)*cos(v);
364 coord[2] = 0.5*(sp->a+2.0)*sin(v)+u;
365 glColor3f(coord[0]+0.7, coord[1]+0.7, coord[2]+0.7);
375 if (sp->render == GL_LINES)
376 mi->polygon_count /= 2;
378 sp->a = sin(sp->draw_step+=0.01);
379 sp->b = cos(sp->draw_step+=0.01);
380 sp->c = sin(sp->draw_step+0.25*M_PI);
382 if (sp->random_surface || sp->random_render)
385 if (sp->frame >= speed)
388 if (sp->random_surface)
389 sp->surface = random() % NUM_SURFACES;
390 if (sp->random_render)
392 render = random() % NUM_RENDER;
396 sp->render = GL_POINTS;
399 sp->render = GL_LINES;
401 case RENDER_LINE_LOOP:
402 if (sp->surface == SURFACE_BOHEMIAN ||
403 sp->surface == SURFACE_PLUECKER ||
404 sp->surface == SURFACE_HENNEBERG)
405 sp->render = GL_LINE_LOOP;
407 sp->render = GL_LINE_STRIP;
410 sp->render = GL_LINE_LOOP;
419 /* new window size or exposure */
420 ENTRYPOINT void reshape_surface(ModeInfo *mi, int width, int height)
422 surfacestruct *sp = &surface[MI_SCREEN(mi)];
423 GLfloat h = (GLfloat) height / (GLfloat) width;
426 if (width > height * 5) { /* tiny window: show middle */
427 height = width * 9/16;
429 h = height / (GLfloat) width;
432 glXMakeCurrent(MI_DISPLAY(mi), MI_WINDOW(mi), *(sp->glx_context));
434 glViewport(0, y, (GLint) width, (GLint) height);
435 glMatrixMode(GL_PROJECTION);
437 gluPerspective (30.0, 1/h, 1.0, 100.0);
439 glMatrixMode(GL_MODELVIEW);
441 gluLookAt(0.0, 0.0, 30.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0);
443 # ifdef HAVE_MOBILE /* Keep it the same relative size when rotated. */
445 int o = (int) current_device_rotation();
446 if (o != 0 && o != 180 && o != -180)
447 glScalef (1/h, 1/h, 1/h);
451 glClear(GL_COLOR_BUFFER_BIT);
455 ENTRYPOINT Bool surface_handle_event(ModeInfo *mi, XEvent *event)
457 surfacestruct *sp = &surface[MI_SCREEN(mi)];
459 if (gltrackball_event_handler (event, sp->trackball,
460 MI_WIDTH (mi), MI_HEIGHT (mi),
468 ENTRYPOINT void init_surface(ModeInfo *mi)
470 int screen = MI_SCREEN(mi);
473 MI_INIT (mi, surface);
474 sp = &surface[screen];
476 sp->window = MI_WINDOW(mi);
479 double spin_speed = 1.0;
480 double wander_speed = 0.03;
481 sp->rot = make_rotator(do_spin ? spin_speed : 0,
482 do_spin ? spin_speed : 0,
483 do_spin ? spin_speed : 0,
485 do_wander ? wander_speed : 0,
487 sp->trackball = gltrackball_init (True);
490 if (!strcasecmp(surface_type,"random"))
492 sp->random_surface = True;
493 sp->surface = random() % NUM_SURFACES;
495 else if (!strcasecmp(surface_type,"dini"))
497 sp->random_surface = False;
498 sp->surface = SURFACE_DINI;
500 else if (!strcasecmp(surface_type,"enneper"))
502 sp->random_surface = False;
503 sp->surface = SURFACE_ENNEPER;
505 else if (!strcasecmp(surface_type,"kuen"))
507 sp->random_surface = False;
508 sp->surface = SURFACE_KUEN;
510 else if (!strcasecmp(surface_type,"moebius"))
512 sp->random_surface = False;
513 sp->surface = SURFACE_MOEBIUS;
515 else if (!strcasecmp(surface_type,"seashell"))
517 sp->random_surface = False;
518 sp->surface = SURFACE_SEASHELL;
520 else if (!strcasecmp(surface_type,"swallowtail"))
522 sp->random_surface = False;
523 sp->surface = SURFACE_SWALLOWTAIL;
525 else if (!strcasecmp(surface_type,"bohemian"))
527 sp->random_surface = False;
528 sp->surface = SURFACE_BOHEMIAN;
530 else if (!strcasecmp(surface_type,"whitney"))
532 sp->random_surface = False;
533 sp->surface = SURFACE_WHITNEY;
535 else if (!strcasecmp(surface_type,"pluecker"))
537 sp->random_surface = False;
538 sp->surface = SURFACE_PLUECKER;
540 else if (!strcasecmp(surface_type,"henneberg"))
542 sp->random_surface = False;
543 sp->surface = SURFACE_HENNEBERG;
545 else if (!strcasecmp(surface_type,"catalan"))
547 sp->random_surface = False;
548 sp->surface = SURFACE_CATALAN;
550 else if (!strcasecmp(surface_type,"corkscrew"))
552 sp->random_surface = False;
553 sp->surface = SURFACE_CORKSCREW;
557 sp->random_surface = True;
558 sp->surface = random() % NUM_SURFACES;
561 if (!strcasecmp(render_mode,"random"))
563 sp->random_render = True;
564 render = random() % NUM_RENDER;
566 else if (!strcasecmp(render_mode,"points"))
568 sp->random_render = False;
569 render = RENDER_POINTS;
571 else if (!strcasecmp(render_mode,"lines"))
573 sp->random_render = False;
574 render = RENDER_LINES;
576 else if (!strcasecmp(render_mode,"line-loops"))
578 sp->random_render = False;
579 render = RENDER_LINE_LOOP;
583 sp->random_render = True;
584 render = random() % NUM_RENDER;
590 sp->render = GL_POINTS;
593 sp->render = GL_LINES;
595 case RENDER_LINE_LOOP:
596 if (sp->surface == SURFACE_BOHEMIAN ||
597 sp->surface == SURFACE_PLUECKER ||
598 sp->surface == SURFACE_HENNEBERG)
599 sp->render = GL_LINE_LOOP;
601 sp->render = GL_LINE_STRIP;
604 sp->render = GL_LINE_LOOP;
615 if ((sp->glx_context = init_GL(mi)) != NULL)
617 reshape_surface(mi, MI_WIDTH(mi), MI_HEIGHT(mi));
626 ENTRYPOINT void draw_surface(ModeInfo * mi)
628 surfacestruct *sp = &surface[MI_SCREEN(mi)];
629 Display *display = MI_DISPLAY(mi);
630 Window window = MI_WINDOW(mi);
632 if (!sp->glx_context)
635 glDrawBuffer(GL_BACK);
637 glXMakeCurrent(display, window, *(sp->glx_context));
642 glXSwapBuffers(display, window);
646 XSCREENSAVER_MODULE_2("Surfaces", surfaces, surface)