1 /* -*- Mode: C; tab-width: 4 -*- */
2 /* hop --- real plane fractals */
5 static const char sccsid[] = "@(#)hop.c 5.00 2000/11/01 xlockmore";
9 * Copyright (c) 1991 by Patrick J. Naughton.
11 * Permission to use, copy, modify, and distribute this software and its
12 * documentation for any purpose and without fee is hereby granted,
13 * provided that the above copyright notice appear in all copies and that
14 * both that copyright notice and this permission notice appear in
15 * supporting documentation.
17 * This file is provided AS IS with no warranties of any kind. The author
18 * shall have no liability with respect to the infringement of copyrights,
19 * trade secrets or any patents by this file or any part thereof. In no
20 * event will the author be liable for any lost revenue or profits or
21 * other special, indirect and consequential damages.
24 * Changes in xlockmore distribution
25 * 01-Nov-2000: Allocation checks
26 * 24-Jun-1997: EJK and RR functions stolen from xmartin2.2
27 * Ed Kubaitis <ejk@ux2.cso.uiuc.edu> ejk functions and xmartin
28 * Renaldo Recuerdo rr function, generalized exponent version
29 * of the Barry Martin's square root function
30 * 10-May-1997: Compatible with xscreensaver
31 * 27-Jul-1995: added Peter de Jong's hop from Scientific American
32 * July 87 p. 111. Sometimes they are amazing but there are a
33 * few duds (I did not see a pattern in the parameters).
34 * 29-Mar-1995: changed name from hopalong to hop
35 * 09-Dec-1994: added Barry Martin's sine hop
36 * Changes in original xlock
37 * 29-Oct-1990: fix bad (int) cast.
38 * 29-Jul-1990: support for multiple screens.
39 * 08-Jul-1990: new timing and colors and new algorithm for fractals.
40 * 15-Dec-1989: Fix for proper skipping of {White,Black}Pixel() in colors.
41 * 08-Oct-1989: Fixed long standing typo bug in RandomInitHop();
42 * Fixed bug in memory allocation in init_hop();
43 * Moved seconds() to an extern.
44 * Got rid of the % mod since .mod is slow on a sparc.
46 * 31-Aug-1988: Forked from xlock.c for modularity.
47 * 23-Mar-1988: Coded HOPALONG routines from Scientific American Sept. 86 p. 14.
48 * Hopalong was attributed to Barry Martin of Aston University
49 * (Birmingham, England)
55 #define DEFAULTS "*delay: 10000 \n" \
59 "*fpsSolid: true \n" \
60 "*ignoreRotation: True \n" \
62 # define SMOOTH_COLORS
63 # define reshape_hop 0
64 # include "xlockmore.h" /* in xscreensaver distribution */
66 #else /* STANDALONE */
67 # include "xlock.h" /* in xlockmore distribution */
68 #endif /* STANDALONE */
72 #define DEF_MARTIN "False"
73 #define DEF_POPCORN "False"
74 #define DEF_EJK1 "False"
75 #define DEF_EJK2 "False"
76 #define DEF_EJK3 "False"
77 #define DEF_EJK4 "False"
78 #define DEF_EJK5 "False"
79 #define DEF_EJK6 "False"
80 #define DEF_RR "False"
81 #define DEF_JONG "False"
82 #define DEF_SINE "False"
96 static XrmOptionDescRec opts[] =
98 {"-martin", ".hop.martin", XrmoptionNoArg, "on"},
99 {"+martin", ".hop.martin", XrmoptionNoArg, "off"},
100 {"-popcorn", ".hop.popcorn", XrmoptionNoArg, "on"},
101 {"+popcorn", ".hop.popcorn", XrmoptionNoArg, "off"},
102 {"-ejk1", ".hop.ejk1", XrmoptionNoArg, "on"},
103 {"+ejk1", ".hop.ejk1", XrmoptionNoArg, "off"},
104 {"-ejk2", ".hop.ejk2", XrmoptionNoArg, "on"},
105 {"+ejk2", ".hop.ejk2", XrmoptionNoArg, "off"},
106 {"-ejk3", ".hop.ejk3", XrmoptionNoArg, "on"},
107 {"+ejk3", ".hop.ejk3", XrmoptionNoArg, "off"},
108 {"-ejk4", ".hop.ejk4", XrmoptionNoArg, "on"},
109 {"+ejk4", ".hop.ejk4", XrmoptionNoArg, "off"},
110 {"-ejk5", ".hop.ejk5", XrmoptionNoArg, "on"},
111 {"+ejk5", ".hop.ejk5", XrmoptionNoArg, "off"},
112 {"-ejk6", ".hop.ejk6", XrmoptionNoArg, "on"},
113 {"+ejk6", ".hop.ejk6", XrmoptionNoArg, "off"},
114 {"-rr", ".hop.rr", XrmoptionNoArg, "on"},
115 {"+rr", ".hop.rr", XrmoptionNoArg, "off"},
116 {"-jong", ".hop.jong", XrmoptionNoArg, "on"},
117 {"+jong", ".hop.jong", XrmoptionNoArg, "off"},
118 {"-sine", ".hop.sine", XrmoptionNoArg, "on"},
119 {"+sine", ".hop.sine", XrmoptionNoArg, "off"}
121 static argtype vars[] =
123 {&martin, "martin", "Martin", DEF_MARTIN, t_Bool},
124 {&popcorn, "popcorn", "Popcorn", DEF_POPCORN, t_Bool},
125 {&ejk1, "ejk1", "EJK1", DEF_EJK1, t_Bool},
126 {&ejk2, "ejk2", "EJK2", DEF_EJK2, t_Bool},
127 {&ejk3, "ejk3", "EJK3", DEF_EJK3, t_Bool},
128 {&ejk4, "ejk4", "EJK4", DEF_EJK4, t_Bool},
129 {&ejk5, "ejk5", "EJK5", DEF_EJK5, t_Bool},
130 {&ejk6, "ejk6", "EJK6", DEF_EJK6, t_Bool},
131 {&rr, "rr", "RR", DEF_RR, t_Bool},
132 {&jong, "jong", "Jong", DEF_JONG, t_Bool},
133 {&sine, "sine", "Sine", DEF_SINE, t_Bool}
135 static OptionStruct desc[] =
137 {"-/+martin", "turn on/off sqrt format"},
138 {"-/+popcorn", "turn on/off Clifford A. Pickover's popcorn format"},
139 {"-/+ejk1", "turn on/off ejk1 format"},
140 {"-/+ejk2", "turn on/off ejk2 format"},
141 {"-/+ejk3", "turn on/off ejk3 format"},
142 {"-/+ejk4", "turn on/off ejk4 format"},
143 {"-/+ejk5", "turn on/off ejk5 format"},
144 {"-/+ejk6", "turn on/off ejk6 format"},
145 {"-/+rr", "turn on/off rr format"},
146 {"-/+jong", "turn on/off jong format"},
147 {"-/+sine", "turn on/off sine format"}
150 ENTRYPOINT ModeSpecOpt hop_opts =
151 {sizeof opts / sizeof opts[0], opts, sizeof vars / sizeof vars[0], vars, desc};
154 ModStruct hop_description =
155 {"hop", "init_hop", "draw_hop", "release_hop",
156 "refresh_hop", "init_hop", (char *) NULL, &hop_opts,
157 10000, 1000, 2500, 1, 64, 1.0, "",
158 "Shows real plane iterated fractals", 0, NULL};
174 #define OPS 8 /* 8, 9, 10 might be too close to a swastika for some... */
180 int centerx, centery; /* center of the screen */
182 double i, j; /* hopalong parameters */
188 XPoint *pointBuffer; /* pointer for XDrawPoints */
190 eraser_state *eraser;
194 static hopstruct *hops = (hopstruct *) NULL;
197 init_hop(ModeInfo * mi)
199 Display *display = MI_DISPLAY(mi);
205 if ((hops = (hopstruct *) calloc(MI_NUM_SCREENS(mi),
206 sizeof (hopstruct))) == NULL)
209 hp = &hops[MI_SCREEN(mi)];
211 hp->centerx = MI_WIDTH(mi) / 2;
212 hp->centery = MI_HEIGHT(mi) / 2;
213 /* Make the other operations less common since they are less interesting */
214 if (MI_IS_FULLRANDOM(mi)) {
243 range = sqrt((double) hp->centerx * hp->centerx +
244 (double) hp->centery * hp->centery) / (1.0 + LRAND() / MAXRAND);
246 hp->inc = (int) ((LRAND() / MAXRAND) * 200) - 100;
251 hp->a = (LRAND() / MAXRAND) * 1500.0 + 40.0;
252 hp->b = (LRAND() / MAXRAND) * 17.0 + 3.0;
253 hp->c = (LRAND() / MAXRAND) * 3000.0 + 100.0;
255 hp->a = ((LRAND() / MAXRAND) * 2.0 - 1.0) * range / 20.0;
256 hp->b = ((LRAND() / MAXRAND) * 2.0 - 1.0) * range / 20.0;
258 hp->c = ((LRAND() / MAXRAND) * 2.0 - 1.0) * range / 20.0;
262 if (MI_IS_VERBOSE(mi))
263 (void) fprintf(stdout, "sqrt a=%g, b=%g, c=%g\n", hp->a, hp->b, hp->c);
267 hp->a = (LRAND() / MAXRAND) * 500.0;
268 hp->c = (LRAND() / MAXRAND) * 100.0 + 10.0;
270 hp->a = ((LRAND() / MAXRAND) * 2.0 - 1.0) * range / 30.0;
271 hp->c = ((LRAND() / MAXRAND) * 2.0 - 1.0) * range / 40.0;
273 hp->b = (LRAND() / MAXRAND) * 0.4;
274 if (MI_IS_VERBOSE(mi))
275 (void) fprintf(stdout, "ejk1 a=%g, b=%g, c=%g\n", hp->a, hp->b, hp->c);
279 hp->a = (LRAND() / MAXRAND) * 500.0;
281 hp->a = ((LRAND() / MAXRAND) * 2.0 - 1.0) * range / 30.0;
283 hp->b = pow(10.0, 6.0 + (LRAND() / MAXRAND) * 24.0);
286 hp->c = pow(10.0, (LRAND() / MAXRAND) * 9.0);
289 if (MI_IS_VERBOSE(mi))
290 (void) fprintf(stdout, "ejk2 a=%g, b=%g, c=%g\n", hp->a, hp->b, hp->c);
294 hp->a = (LRAND() / MAXRAND) * 500.0;
295 hp->c = (LRAND() / MAXRAND) * 80.0 + 30.0;
297 hp->a = ((LRAND() / MAXRAND) * 2.0 - 1.0) * range / 30.0;
298 hp->c = ((LRAND() / MAXRAND) * 2.0 - 1.0) * range / 70.0;
300 hp->b = (LRAND() / MAXRAND) * 0.35 + 0.5;
301 if (MI_IS_VERBOSE(mi))
302 (void) fprintf(stdout, "ejk3 a=%g, b=%g, c=%g\n", hp->a, hp->b, hp->c);
306 hp->a = (LRAND() / MAXRAND) * 1000.0;
307 hp->c = (LRAND() / MAXRAND) * 40.0 + 30.0;
309 hp->a = ((LRAND() / MAXRAND) * 2.0 - 1.0) * range / 2.0;
310 hp->c = ((LRAND() / MAXRAND) * 2.0 - 1.0) * range / 200.0;
312 hp->b = (LRAND() / MAXRAND) * 9.0 + 1.0;
313 if (MI_IS_VERBOSE(mi))
314 (void) fprintf(stdout, "ejk4 a=%g, b=%g, c=%g\n", hp->a, hp->b, hp->c);
318 hp->a = (LRAND() / MAXRAND) * 600.0;
319 hp->c = (LRAND() / MAXRAND) * 90.0 + 20.0;
321 hp->a = ((LRAND() / MAXRAND) * 2.0 - 1.0) * range / 2.0;
322 hp->c = ((LRAND() / MAXRAND) * 2.0 - 1.0) * range / 200.0;
324 hp->b = (LRAND() / MAXRAND) * 0.3 + 0.1;
325 if (MI_IS_VERBOSE(mi))
326 (void) fprintf(stdout, "ejk5 a=%g, b=%g, c=%g\n", hp->a, hp->b, hp->c);
330 hp->a = (LRAND() / MAXRAND) * 100.0 + 550.0;
332 hp->a = ((LRAND() / MAXRAND) * 2.0 - 1.0) * range / 30.0;
334 hp->b = (LRAND() / MAXRAND) + 0.5;
335 if (MI_IS_VERBOSE(mi))
336 (void) fprintf(stdout, "ejk6 a=%g, b=%g\n", hp->a, hp->b);
340 hp->a = (LRAND() / MAXRAND) * 100.0;
341 hp->b = (LRAND() / MAXRAND) * 20.0;
342 hp->c = (LRAND() / MAXRAND) * 200.0;
344 hp->a = ((LRAND() / MAXRAND) * 2.0 - 1.0) * range / 40.0;
345 hp->b = ((LRAND() / MAXRAND) * 2.0 - 1.0) * range / 200.0;
346 hp->c = ((LRAND() / MAXRAND) * 2.0 - 1.0) * range / 20.0;
348 hp->d = (LRAND() / MAXRAND) * 0.9;
349 if (MI_IS_VERBOSE(mi))
350 (void) fprintf(stdout, "rr a=%g, b=%g, c=%g, d=%g\n",
351 hp->a, hp->b, hp->c, hp->d);
356 hp->c = ((LRAND() / MAXRAND) * 2.0 - 1.0) * 0.24 + 0.25;
358 if (MI_IS_VERBOSE(mi))
359 (void) fprintf(stdout, "popcorn a=%g, b=%g, c=%g, d=%g\n",
360 hp->a, hp->b, hp->c, hp->d);
363 hp->a = ((LRAND() / MAXRAND) * 2.0 - 1.0) * M_PI;
364 hp->b = ((LRAND() / MAXRAND) * 2.0 - 1.0) * M_PI;
365 hp->c = ((LRAND() / MAXRAND) * 2.0 - 1.0) * M_PI;
366 hp->d = ((LRAND() / MAXRAND) * 2.0 - 1.0) * M_PI;
367 if (MI_IS_VERBOSE(mi))
368 (void) fprintf(stdout, "jong a=%g, b=%g, c=%g, d=%g\n",
369 hp->a, hp->b, hp->c, hp->d);
371 case SINE: /* MARTIN2 */
373 hp->a = M_PI + ((LRAND() / MAXRAND) * 2.0 - 1.0) * 0.07;
375 hp->a = M_PI + ((LRAND() / MAXRAND) * 2.0 - 1.0) * 0.7;
377 if (MI_IS_VERBOSE(mi))
378 (void) fprintf(stdout, "sine a=%g\n", hp->a);
381 if (MI_NPIXELS(mi) > 2)
382 hp->pix = NRAND(MI_NPIXELS(mi));
383 hp->bufsize = MI_COUNT(mi);
385 if (hp->pointBuffer == NULL) {
386 if ((hp->pointBuffer = (XPoint *) malloc(hp->bufsize *
387 sizeof (XPoint))) == NULL)
395 XSetForeground(display, gc, MI_WHITE_PIXEL(mi));
401 draw_hop(ModeInfo * mi)
410 hp = &hops[MI_SCREEN(mi)];
414 hp->eraser = erase_window (MI_DISPLAY(mi), MI_WINDOW(mi), hp->eraser);
420 if (hp->pointBuffer == NULL)
422 xp = hp->pointBuffer;
425 MI_IS_DRAWN(mi) = True;
427 if (MI_NPIXELS(mi) > 2) {
428 XSetForeground(MI_DISPLAY(mi), MI_GC(mi), MI_PIXEL(mi, hp->pix));
429 if (++hp->pix >= MI_NPIXELS(mi))
435 case MARTIN: /* SQRT, MARTIN1 */
436 oldi = hp->i + hp->inc;
437 hp->j = hp->a - hp->i;
438 hp->i = oldj + ((hp->i < 0)
439 ? sqrt(fabs(hp->b * oldi - hp->c))
440 : -sqrt(fabs(hp->b * oldi - hp->c)));
441 xp->x = hp->centerx + (int) (hp->i + hp->j);
442 xp->y = hp->centery - (int) (hp->i - hp->j);
445 oldi = hp->i + hp->inc;
446 hp->j = hp->a - hp->i;
447 hp->i = oldj - ((hp->i > 0) ? (hp->b * oldi - hp->c) :
448 -(hp->b * oldi - hp->c));
449 xp->x = hp->centerx + (int) (hp->i + hp->j);
450 xp->y = hp->centery - (int) (hp->i - hp->j);
453 oldi = hp->i + hp->inc;
454 hp->j = hp->a - hp->i;
455 hp->i = oldj - ((hp->i < 0) ? log(fabs(hp->b * oldi - hp->c)) :
456 -log(fabs(hp->b * oldi - hp->c)));
457 xp->x = hp->centerx + (int) (hp->i + hp->j);
458 xp->y = hp->centery - (int) (hp->i - hp->j);
461 oldi = hp->i + hp->inc;
462 hp->j = hp->a - hp->i;
463 hp->i = oldj - ((hp->i > 0) ? sin(hp->b * oldi) - hp->c :
464 -sin(hp->b * oldi) - hp->c);
465 xp->x = hp->centerx + (int) (hp->i + hp->j);
466 xp->y = hp->centery - (int) (hp->i - hp->j);
469 oldi = hp->i + hp->inc;
470 hp->j = hp->a - hp->i;
471 hp->i = oldj - ((hp->i > 0) ? sin(hp->b * oldi) - hp->c :
472 -sqrt(fabs(hp->b * oldi - hp->c)));
473 xp->x = hp->centerx + (int) (hp->i + hp->j);
474 xp->y = hp->centery - (int) (hp->i - hp->j);
477 oldi = hp->i + hp->inc;
478 hp->j = hp->a - hp->i;
479 hp->i = oldj - ((hp->i > 0) ? sin(hp->b * oldi) - hp->c :
480 -(hp->b * oldi - hp->c));
481 xp->x = hp->centerx + (int) (hp->i + hp->j);
482 xp->y = hp->centery - (int) (hp->i - hp->j);
485 oldi = hp->i + hp->inc;
486 hp->j = hp->a - hp->i;
487 hp->i = oldj - asin((hp->b * oldi) - (long) (hp->b * oldi));
488 xp->x = hp->centerx + (int) (hp->i + hp->j);
489 xp->y = hp->centery - (int) (hp->i - hp->j);
492 oldi = hp->i + hp->inc;
493 hp->j = hp->a - hp->i;
494 hp->i = oldj - ((hp->i < 0) ? -pow(fabs(hp->b * oldi - hp->c), hp->d) :
495 pow(fabs(hp->b * oldi - hp->c), hp->d));
496 xp->x = hp->centerx + (int) (hp->i + hp->j);
497 xp->y = hp->centery - (int) (hp->i - hp->j);
508 if (hp->a++ >= INCVAL) {
510 if (hp->b++ >= INCVAL)
513 hp->i = (-hp->c * INCVAL / 2 + hp->c * hp->a) * M_PI / 180.0;
514 hp->j = (-hp->c * INCVAL / 2 + hp->c * hp->b) * M_PI / 180.0;
516 tempi = hp->i - HVAL * sin(hp->j + tan(3.0 * hp->j));
517 tempj = hp->j - HVAL * sin(hp->i + tan(3.0 * hp->i));
518 xp->x = hp->centerx + (int) (MI_WIDTH(mi) / 40 * tempi);
519 xp->y = hp->centery + (int) (MI_HEIGHT(mi) / 40 * tempj);
526 oldi = hp->i + 4 * hp->inc / hp->centerx;
529 hp->j = sin(hp->c * hp->i) - cos(hp->d * hp->j);
530 hp->i = sin(hp->a * oldj) - cos(hp->b * oldi);
531 xp->x = hp->centerx + (int) (hp->centerx * (hp->i + hp->j) / 4.0);
532 xp->y = hp->centery - (int) (hp->centery * (hp->i - hp->j) / 4.0);
534 case SINE: /* MARTIN2 */
535 oldi = hp->i + hp->inc;
536 hp->j = hp->a - hp->i;
537 hp->i = oldj - sin(oldi);
538 xp->x = hp->centerx + (int) (hp->i + hp->j);
539 xp->y = hp->centery - (int) (hp->i - hp->j);
544 XDrawPoints(MI_DISPLAY(mi), MI_WINDOW(mi), MI_GC(mi),
545 hp->pointBuffer, hp->bufsize, CoordModeOrigin);
546 if (++hp->count > MI_CYCLES(mi)) {
548 hp->eraser = erase_window (MI_DISPLAY(mi), MI_WINDOW(mi), hp->eraser);
549 #endif /* STANDALONE */
555 release_hop(ModeInfo * mi)
560 for (screen = 0; screen < MI_NUM_SCREENS(mi); screen++) {
561 hopstruct *hp = &hops[screen];
563 if (hp->pointBuffer != NULL)
564 (void) free((void *) hp->pointBuffer);
566 (void) free((void *) hops);
567 hops = (hopstruct *) NULL;
572 refresh_hop(ModeInfo * mi)
578 hop_handle_event (ModeInfo *mi, XEvent *event)
580 if (screenhack_event_helper (MI_DISPLAY(mi), MI_WINDOW(mi), event))
591 XSCREENSAVER_MODULE_2 ("Hopalong", hopalong, hop)
593 #endif /* MODE_hop */