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 refresh_surface 0
50 # include "xlockmore.h" /* from the xscreensaver distribution */
51 #else /* !STANDALONE */
52 # include "xlock.h" /* from the xlockmore distribution */
53 #endif /* !STANDALONE */
57 #define DEF_SURFACE "random"
58 #define DEF_MODE "random"
59 #define DEF_SPIN "True"
60 #define DEF_WANDER "False"
61 #define DEF_SPEED "300"
64 #include "gltrackball.h"
67 #define countof(x) (sizeof((x))/sizeof((*x)))
70 static char *surface_type;
71 static char *render_mode;
75 static Bool do_wander;
77 static XrmOptionDescRec opts[] = {
78 { "-surface", ".surface", XrmoptionSepArg, 0 },
79 { "-random-surface", ".surface", XrmoptionNoArg, "random" },
80 { "-dini", ".surface", XrmoptionNoArg, "dini" },
81 { "-enneper", ".surface", XrmoptionNoArg, "enneper" },
82 { "-kuen", ".surface", XrmoptionNoArg, "kuen" },
83 { "-moebius", ".surface", XrmoptionNoArg, "moebius" },
84 { "-seashell", ".surface", XrmoptionNoArg, "seashell" },
85 { "-swallowtail", ".surface", XrmoptionNoArg, "swallowtail" },
86 { "-bohemian", ".surface", XrmoptionNoArg, "bohemian" },
87 { "-whitney", ".surface", XrmoptionNoArg, "whitney" },
88 { "-pluecker", ".surface", XrmoptionNoArg, "pluecker" },
89 { "-henneberg", ".surface", XrmoptionNoArg, "henneberg" },
90 { "-catalan", ".surface", XrmoptionNoArg, "catalan" },
91 { "-corkscrew", ".surface", XrmoptionNoArg, "corkscrew" },
92 { "-mode", ".mode", XrmoptionSepArg, 0 },
93 { "-random-mode", ".mode", XrmoptionNoArg, "random" },
94 { "-points", ".mode", XrmoptionNoArg, "points" },
95 { "-lines", ".mode", XrmoptionNoArg, "lines" },
96 { "-line-loops", ".mode", XrmoptionNoArg, "line-loops" },
97 { "-speed", ".speed", XrmoptionSepArg, 0 },
98 { "-spin", ".spin", XrmoptionNoArg, "True" },
99 { "+spin", ".spin", XrmoptionNoArg, "False" },
100 { "-wander", ".wander", XrmoptionNoArg, "True" },
101 { "+wander", ".wander", XrmoptionNoArg, "False" },
104 static argtype vars[] = {
105 {&surface_type, "surface", "Surface", DEF_SURFACE, t_String },
106 {&render_mode, "mode", "Mode", DEF_MODE, t_String },
107 {&do_spin, "spin", "Spin", DEF_SPIN, t_Bool },
108 {&do_wander, "wander", "Wander", DEF_WANDER, t_Bool },
109 {&speed, "speed", "Speed", DEF_SPEED, t_Int },
113 ENTRYPOINT ModeSpecOpt surface_opts =
114 {countof(opts), opts, countof(vars), vars, NULL};
125 GLXContext *glx_context;
128 trackball_state *trackball;
143 static surfacestruct *surface = NULL;
146 static void draw(ModeInfo *mi)
148 surfacestruct *sp = &surface[MI_SCREEN(mi)];
153 mi->polygon_count = 0;
154 glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT);
156 glEnable(GL_DEPTH_TEST);
157 glEnable(GL_NORMALIZE);
158 glEnable(GL_CULL_FACE);
164 get_position(sp->rot, &x, &y, &z, !sp->button_down_p);
165 glTranslatef((x-0.5)*10, (y-0.5)*10, (z-0.5)*20);
167 gltrackball_rotate(sp->trackball);
169 get_rotation(sp->rot, &x, &y, &z, !sp->button_down_p);
170 glRotatef(x*360, 1.0, 0.0, 0.0);
171 glRotatef(y*360, 0.0, 1.0, 0.0);
172 glRotatef(z*360, 0.0, 0.0, 1.0);
175 glScalef(4.0, 4.0, 4.0);
180 for (v=0.11; v<=2.0; v+=sp->dv)
183 for (u=0; u<=6.0*M_PI; u+=sp->du)
185 coord[0] = sp->a*cos(u)*sin(v);
186 coord[1] = sp->a*sin(u)*sin(v);
187 coord[2] = sp->a*(cos(v)+log(tan(0.5*v)))+0.2*sp->b*u;
188 glColor3f(coord[0]+0.7, coord[1]+0.7, coord[2]+0.7);
195 case SURFACE_ENNEPER:
196 for (u=-M_PI; u<=M_PI; u+=sp->du)
199 for (v=-M_PI; v<M_PI; v+=sp->dv)
201 coord[0] = sp->a*(u-(1.0/3.0*u*u*u)+u*v*v);
202 coord[1] = sp->b*(v-(1.0/3.0*v*v*v)+u*u*v);
204 glColor3f(coord[0]+0.7, coord[1]+0.7, coord[2]+0.7);
212 for (u=-4.48; u<=4.48; u+=sp->du)
215 for (v=M_PI/51; v<M_PI; v+=sp->dv)
217 coord[0] = 2*(cos(u)+u*sin(u))*sin(v)/(1+u*u*sin(v)*sin(v));
218 coord[1] = 2*(sin(u)-u*cos(u))*sin(v)/(1+u*u*sin(v)*sin(v));
219 coord[2] = log(tan(0.5*v))+2*cos(v)/(1+u*u*sin(v)*sin(v));
220 glColor3f(coord[0]+0.7, coord[1]+0.7, coord[2]+0.7);
227 case SURFACE_MOEBIUS:
228 for (u=-M_PI; u<M_PI; u+=sp->du)
231 for (v=-0.735; v<0.74; v+=sp->dv)
233 coord[0] = cos(u)+v*cos(u/2)*cos(u);
234 coord[1] = sin(u)+v*cos(u/2)*sin(u);
235 coord[2] = v*sin(u/2);
236 glColor3f(coord[0]+0.7, coord[1]+0.7, coord[2]+0.7);
243 case SURFACE_SEASHELL:
244 for (u=0; u<2*M_PI; u+=sp->du)
247 for (v=0; v<2*M_PI; v+=sp->dv)
249 coord[0] = sp->a*(1-v/(2*M_PI))*cos(2*v)*(1+cos(u))+sp->c*cos(2*v);
250 coord[1] = sp->a*(1-v/(2*M_PI))*sin(2*v)*(1+cos(u))+sp->c*sin(2*v);
251 coord[2] = 2*sp->b*v/(2*M_PI)+sp->a*(1-v/(2*M_PI))*sin(u);
252 glColor3f(coord[0]+0.7, coord[1]+0.7, coord[2]+0.7);
259 case SURFACE_SWALLOWTAIL:
260 for (u=-2.5; u<2.0; u+=sp->du)
263 for (v=-1.085; v<1.09; v+=sp->dv)
265 coord[0] = u*v*v+3*v*v*v*v;
266 coord[1] = -2*u*v-4*v*v*v;
268 glColor3f(coord[0]+0.7, coord[1]+0.7, coord[2]+0.7);
275 case SURFACE_BOHEMIAN:
276 for (u=-M_PI; u<M_PI; u+=sp->du)
279 for (v=-M_PI; v<M_PI; v+=sp->dv)
281 coord[0] = sp->a*cos(u);
282 coord[1] = sp->b*cos(v)+sp->a*sin(u);
284 glColor3f(coord[0]+0.7, coord[1]+0.7, coord[2]+0.7);
291 case SURFACE_WHITNEY:
292 for (v=-1.995; v<2.0; v+=sp->dv)
295 for (u=-1.995; u<2.0; u+=sp->du)
300 glColor3f(coord[0]+0.7, coord[1]+0.7, coord[2]+0.7);
307 case SURFACE_PLUECKER:
308 for (u=0; u<2.5; u+=sp->dv)
311 for (v=-M_PI; v<M_PI; v+=sp->du)
315 coord[2] = 2*cos(v)*sin(v);
316 glColor3f(coord[0]+0.7, coord[1]+0.7, coord[2]+0.7);
323 case SURFACE_HENNEBERG:
324 for (u=0.9; u<2.55; u+=sp->dv)
327 for (v=-M_PI; v<M_PI; v+=sp->du)
329 coord[0] = sinh(1.0/3.0*u)*cos(v)-1.0/3.0*sinh(u)*cos(3.0*v);
330 coord[1] = sinh(1.0/3.0*u)*sin(v)+1.0/3.0*sinh(u)*sin(3.0*v);
331 coord[2] = cosh(2.0/3.0*u)*cos(2.0*v);
332 glColor3f(coord[0]+0.7, coord[1]+0.7, coord[2]+0.7);
339 case SURFACE_CATALAN:
340 for (v=-2; v<2; v+=sp->du)
343 for (u=-2*M_PI; u<2*M_PI+0.05; u+=sp->dv)
345 coord[0] = 0.33*(u-sin(u)*cosh(v));
346 coord[1] = 0.33*(1.0-cos(u)*cosh(v));
347 coord[2] = 0.33*4.0*sin(0.5*u)*sinh(0.5*v);
348 glColor3f(coord[0]+0.7, coord[1]+0.7, coord[2]+0.7);
355 case SURFACE_CORKSCREW:
356 for (v=-M_PI; v<M_PI; v+=sp->du)
359 for (u=-M_PI; u<M_PI; u+=sp->dv)
361 coord[0] = 0.5*(sp->a+2.0)*cos(u)*cos(v);
362 coord[1] = 0.5*(sp->a+2.0)*sin(u)*cos(v);
363 coord[2] = 0.5*(sp->a+2.0)*sin(v)+u;
364 glColor3f(coord[0]+0.7, coord[1]+0.7, coord[2]+0.7);
374 if (sp->render == GL_LINES)
375 mi->polygon_count /= 2;
377 sp->a = sin(sp->draw_step+=0.01);
378 sp->b = cos(sp->draw_step+=0.01);
379 sp->c = sin(sp->draw_step+0.25*M_PI);
381 if (sp->random_surface || sp->random_render)
384 if (sp->frame >= speed)
387 if (sp->random_surface)
388 sp->surface = random() % NUM_SURFACES;
389 if (sp->random_render)
391 render = random() % NUM_RENDER;
395 sp->render = GL_POINTS;
398 sp->render = GL_LINES;
400 case RENDER_LINE_LOOP:
401 if (sp->surface == SURFACE_BOHEMIAN ||
402 sp->surface == SURFACE_PLUECKER ||
403 sp->surface == SURFACE_HENNEBERG)
404 sp->render = GL_LINE_LOOP;
406 sp->render = GL_LINE_STRIP;
409 sp->render = GL_LINE_LOOP;
418 /* new window size or exposure */
419 ENTRYPOINT void reshape_surface(ModeInfo *mi, int width, int height)
421 GLfloat h = (GLfloat) height / (GLfloat) width;
423 glViewport(0, 0, (GLint) width, (GLint) height);
424 glMatrixMode(GL_PROJECTION);
426 gluPerspective (30.0, 1/h, 1.0, 100.0);
428 glMatrixMode(GL_MODELVIEW);
430 gluLookAt(0.0, 0.0, 30.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0);
432 # ifdef HAVE_MOBILE /* Keep it the same relative size when rotated. */
434 int o = (int) current_device_rotation();
435 if (o != 0 && o != 180 && o != -180)
436 glScalef (1/h, 1/h, 1/h);
440 glClear(GL_COLOR_BUFFER_BIT);
444 ENTRYPOINT Bool surface_handle_event(ModeInfo *mi, XEvent *event)
446 surfacestruct *sp = &surface[MI_SCREEN(mi)];
448 if (gltrackball_event_handler (event, sp->trackball,
449 MI_WIDTH (mi), MI_HEIGHT (mi),
457 ENTRYPOINT void init_surface(ModeInfo *mi)
459 int screen = MI_SCREEN(mi);
464 if ((surface = (surfacestruct *) calloc(MI_NUM_SCREENS(mi),
465 sizeof(surfacestruct))) == NULL)
468 sp = &surface[screen];
470 sp->window = MI_WINDOW(mi);
473 double spin_speed = 1.0;
474 double wander_speed = 0.03;
475 sp->rot = make_rotator(do_spin ? spin_speed : 0,
476 do_spin ? spin_speed : 0,
477 do_spin ? spin_speed : 0,
479 do_wander ? wander_speed : 0,
481 sp->trackball = gltrackball_init (True);
484 if (!strcasecmp(surface_type,"random"))
486 sp->random_surface = True;
487 sp->surface = random() % NUM_SURFACES;
489 else if (!strcasecmp(surface_type,"dini"))
491 sp->random_surface = False;
492 sp->surface = SURFACE_DINI;
494 else if (!strcasecmp(surface_type,"enneper"))
496 sp->random_surface = False;
497 sp->surface = SURFACE_ENNEPER;
499 else if (!strcasecmp(surface_type,"kuen"))
501 sp->random_surface = False;
502 sp->surface = SURFACE_KUEN;
504 else if (!strcasecmp(surface_type,"moebius"))
506 sp->random_surface = False;
507 sp->surface = SURFACE_MOEBIUS;
509 else if (!strcasecmp(surface_type,"seashell"))
511 sp->random_surface = False;
512 sp->surface = SURFACE_SEASHELL;
514 else if (!strcasecmp(surface_type,"swallowtail"))
516 sp->random_surface = False;
517 sp->surface = SURFACE_SWALLOWTAIL;
519 else if (!strcasecmp(surface_type,"bohemian"))
521 sp->random_surface = False;
522 sp->surface = SURFACE_BOHEMIAN;
524 else if (!strcasecmp(surface_type,"whitney"))
526 sp->random_surface = False;
527 sp->surface = SURFACE_WHITNEY;
529 else if (!strcasecmp(surface_type,"pluecker"))
531 sp->random_surface = False;
532 sp->surface = SURFACE_PLUECKER;
534 else if (!strcasecmp(surface_type,"henneberg"))
536 sp->random_surface = False;
537 sp->surface = SURFACE_HENNEBERG;
539 else if (!strcasecmp(surface_type,"catalan"))
541 sp->random_surface = False;
542 sp->surface = SURFACE_CATALAN;
544 else if (!strcasecmp(surface_type,"corkscrew"))
546 sp->random_surface = False;
547 sp->surface = SURFACE_CORKSCREW;
551 sp->random_surface = True;
552 sp->surface = random() % NUM_SURFACES;
555 if (!strcasecmp(render_mode,"random"))
557 sp->random_render = True;
558 render = random() % NUM_RENDER;
560 else if (!strcasecmp(render_mode,"points"))
562 sp->random_render = False;
563 render = RENDER_POINTS;
565 else if (!strcasecmp(render_mode,"lines"))
567 sp->random_render = False;
568 render = RENDER_LINES;
570 else if (!strcasecmp(render_mode,"line-loops"))
572 sp->random_render = False;
573 render = RENDER_LINE_LOOP;
577 sp->random_render = True;
578 render = random() % NUM_RENDER;
584 sp->render = GL_POINTS;
587 sp->render = GL_LINES;
589 case RENDER_LINE_LOOP:
590 if (sp->surface == SURFACE_BOHEMIAN ||
591 sp->surface == SURFACE_PLUECKER ||
592 sp->surface == SURFACE_HENNEBERG)
593 sp->render = GL_LINE_LOOP;
595 sp->render = GL_LINE_STRIP;
598 sp->render = GL_LINE_LOOP;
609 if ((sp->glx_context = init_GL(mi)) != NULL)
611 reshape_surface(mi, MI_WIDTH(mi), MI_HEIGHT(mi));
620 ENTRYPOINT void draw_surface(ModeInfo * mi)
622 surfacestruct *sp = &surface[MI_SCREEN(mi)];
623 Display *display = MI_DISPLAY(mi);
624 Window window = MI_WINDOW(mi);
626 if (!sp->glx_context)
629 glDrawBuffer(GL_BACK);
631 glXMakeCurrent(display, window, *(sp->glx_context));
636 glXSwapBuffers(display, window);
640 ENTRYPOINT void release_surface(ModeInfo * mi)
646 for (screen = 0; screen < MI_NUM_SCREENS(mi); screen++)
648 surfacestruct *sp = &surface[screen];
652 /* Display lists MUST be freed while their glXContext is current. */
653 glXMakeCurrent(MI_DISPLAY(mi), sp->window, *(sp->glx_context));
656 (void) free((void *)surface);
663 XSCREENSAVER_MODULE_2("Surfaces", surfaces, surface)