/* -*- Mode: C; tab-width: 4 -*- */ /* hop --- real plane fractals */ #if !defined( lint ) && !defined( SABER ) static const char sccsid[] = "@(#)hop.c 5.00 2000/11/01 xlockmore"; #endif /*- * Copyright (c) 1991 by Patrick J. Naughton. * * Permission to use, copy, modify, and distribute this software and its * documentation for any purpose and without fee is hereby granted, * provided that the above copyright notice appear in all copies and that * both that copyright notice and this permission notice appear in * supporting documentation. * * This file is provided AS IS with no warranties of any kind. The author * shall have no liability with respect to the infringement of copyrights, * trade secrets or any patents by this file or any part thereof. In no * event will the author be liable for any lost revenue or profits or * other special, indirect and consequential damages. * * Revision History: * Changes in xlockmore distribution * 01-Nov-2000: Allocation checks * 24-Jun-1997: EJK and RR functions stolen from xmartin2.2 * Ed Kubaitis ejk functions and xmartin * Renaldo Recuerdo rr function, generalized exponent version * of the Barry Martin's square root function * 10-May-1997: Compatible with xscreensaver * 27-Jul-1995: added Peter de Jong's hop from Scientific American * July 87 p. 111. Sometimes they are amazing but there are a * few duds (I did not see a pattern in the parameters). * 29-Mar-1995: changed name from hopalong to hop * 09-Dec-1994: added Barry Martin's sine hop * Changes in original xlock * 29-Oct-1990: fix bad (int) cast. * 29-Jul-1990: support for multiple screens. * 08-Jul-1990: new timing and colors and new algorithm for fractals. * 15-Dec-1989: Fix for proper skipping of {White,Black}Pixel() in colors. * 08-Oct-1989: Fixed long standing typo bug in RandomInitHop(); * Fixed bug in memory allocation in init_hop(); * Moved seconds() to an extern. * Got rid of the % mod since .mod is slow on a sparc. * 20-Sep-1989: Lint. * 31-Aug-1988: Forked from xlock.c for modularity. * 23-Mar-1988: Coded HOPALONG routines from Scientific American Sept. 86 p. 14. * Hopalong was attributed to Barry Martin of Aston University * (Birmingham, England) */ #ifdef STANDALONE #define MODE_hop #define PROGCLASS "Hop" #define HACK_INIT init_hop #define HACK_DRAW draw_hop #define hop_opts xlockmore_opts #define DEFAULTS "*delay: 10000 \n" \ "*count: 1000 \n" \ "*cycles: 2500 \n" \ "*ncolors: 200 \n" \ "*fullrandom: True \n" \ "*verbose: False \n" #define SMOOTH_COLORS #include "xlockmore.h" /* in xscreensaver distribution */ #else /* STANDALONE */ #include "xlock.h" /* in xlockmore distribution */ #endif /* STANDALONE */ #ifdef MODE_hop #define DEF_MARTIN "False" #define DEF_POPCORN "False" #define DEF_EJK1 "False" #define DEF_EJK2 "False" #define DEF_EJK3 "False" #define DEF_EJK4 "False" #define DEF_EJK5 "False" #define DEF_EJK6 "False" #define DEF_RR "False" #define DEF_JONG "False" #define DEF_SINE "False" static Bool martin; static Bool popcorn; static Bool ejk1; static Bool ejk2; static Bool ejk3; static Bool ejk4; static Bool ejk5; static Bool ejk6; static Bool rr; static Bool jong; static Bool sine; static XrmOptionDescRec opts[] = { {(char *) "-martin", (char *) ".hop.martin", XrmoptionNoArg, (caddr_t) "on"}, {(char *) "+martin", (char *) ".hop.martin", XrmoptionNoArg, (caddr_t) "off"}, {(char *) "-popcorn", (char *) ".hop.popcorn", XrmoptionNoArg, (caddr_t) "on"}, {(char *) "+popcorn", (char *) ".hop.popcorn", XrmoptionNoArg, (caddr_t) "off"}, {(char *) "-ejk1", (char *) ".hop.ejk1", XrmoptionNoArg, (caddr_t) "on"}, {(char *) "+ejk1", (char *) ".hop.ejk1", XrmoptionNoArg, (caddr_t) "off"}, {(char *) "-ejk2", (char *) ".hop.ejk2", XrmoptionNoArg, (caddr_t) "on"}, {(char *) "+ejk2", (char *) ".hop.ejk2", XrmoptionNoArg, (caddr_t) "off"}, {(char *) "-ejk3", (char *) ".hop.ejk3", XrmoptionNoArg, (caddr_t) "on"}, {(char *) "+ejk3", (char *) ".hop.ejk3", XrmoptionNoArg, (caddr_t) "off"}, {(char *) "-ejk4", (char *) ".hop.ejk4", XrmoptionNoArg, (caddr_t) "on"}, {(char *) "+ejk4", (char *) ".hop.ejk4", XrmoptionNoArg, (caddr_t) "off"}, {(char *) "-ejk5", (char *) ".hop.ejk5", XrmoptionNoArg, (caddr_t) "on"}, {(char *) "+ejk5", (char *) ".hop.ejk5", XrmoptionNoArg, (caddr_t) "off"}, {(char *) "-ejk6", (char *) ".hop.ejk6", XrmoptionNoArg, (caddr_t) "on"}, {(char *) "+ejk6", (char *) ".hop.ejk6", XrmoptionNoArg, (caddr_t) "off"}, {(char *) "-rr", (char *) ".hop.rr", XrmoptionNoArg, (caddr_t) "on"}, {(char *) "+rr", (char *) ".hop.rr", XrmoptionNoArg, (caddr_t) "off"}, {(char *) "-jong", (char *) ".hop.jong", XrmoptionNoArg, (caddr_t) "on"}, {(char *) "+jong", (char *) ".hop.jong", XrmoptionNoArg, (caddr_t) "off"}, {(char *) "-sine", (char *) ".hop.sine", XrmoptionNoArg, (caddr_t) "on"}, {(char *) "+sine", (char *) ".hop.sine", XrmoptionNoArg, (caddr_t) "off"} }; static argtype vars[] = { {(void *) & martin, (char *) "martin", (char *) "Martin", (char *) DEF_MARTIN, t_Bool}, {(void *) & popcorn, (char *) "popcorn", (char *) "Popcorn", (char *) DEF_POPCORN, t_Bool}, {(void *) & ejk1, (char *) "ejk1", (char *) "EJK1", (char *) DEF_EJK1, t_Bool}, {(void *) & ejk2, (char *) "ejk2", (char *) "EJK2", (char *) DEF_EJK2, t_Bool}, {(void *) & ejk3, (char *) "ejk3", (char *) "EJK3", (char *) DEF_EJK3, t_Bool}, {(void *) & ejk4, (char *) "ejk4", (char *) "EJK4", (char *) DEF_EJK4, t_Bool}, {(void *) & ejk5, (char *) "ejk5", (char *) "EJK5", (char *) DEF_EJK5, t_Bool}, {(void *) & ejk6, (char *) "ejk6", (char *) "EJK6", (char *) DEF_EJK6, t_Bool}, {(void *) & rr, (char *) "rr", (char *) "RR", (char *) DEF_RR, t_Bool}, {(void *) & jong, (char *) "jong", (char *) "Jong", (char *) DEF_JONG, t_Bool}, {(void *) & sine, (char *) "sine", (char *) "Sine", (char *) DEF_SINE, t_Bool} }; static OptionStruct desc[] = { {(char *) "-/+martin", (char *) "turn on/off sqrt format"}, {(char *) "-/+popcorn", (char *) "turn on/off Clifford A. Pickover's popcorn format"}, {(char *) "-/+ejk1", (char *) "turn on/off ejk1 format"}, {(char *) "-/+ejk2", (char *) "turn on/off ejk2 format"}, {(char *) "-/+ejk3", (char *) "turn on/off ejk3 format"}, {(char *) "-/+ejk4", (char *) "turn on/off ejk4 format"}, {(char *) "-/+ejk5", (char *) "turn on/off ejk5 format"}, {(char *) "-/+ejk6", (char *) "turn on/off ejk6 format"}, {(char *) "-/+rr", (char *) "turn on/off rr format"}, {(char *) "-/+jong", (char *) "turn on/off jong format"}, {(char *) "-/+sine", (char *) "turn on/off sine format"} }; ModeSpecOpt hop_opts = {sizeof opts / sizeof opts[0], opts, sizeof vars / sizeof vars[0], vars, desc}; #ifdef USE_MODULES ModStruct hop_description = {"hop", "init_hop", "draw_hop", "release_hop", "refresh_hop", "init_hop", (char *) NULL, &hop_opts, 10000, 1000, 2500, 1, 64, 1.0, "", "Shows real plane iterated fractals", 0, NULL}; #endif #define MARTIN 0 #define POPCORN 7 #define SINE 8 #define EJK1 1 #define EJK2 2 #define EJK3 9 #define EJK4 3 #define EJK5 4 #define EJK6 10 #define RR 5 #define JONG 6 #ifdef OFFENDING #define OPS 8 /* 8, 9, 10 might be too close to a swastika for some... */ #else #define OPS 11 #endif typedef struct { int centerx, centery; /* center of the screen */ double a, b, c, d; double i, j; /* hopalong parameters */ int inc; int pix; int op; int count; int bufsize; XPoint *pointBuffer; /* pointer for XDrawPoints */ } hopstruct; static hopstruct *hops = (hopstruct *) NULL; void init_hop(ModeInfo * mi) { Display *display = MI_DISPLAY(mi); GC gc = MI_GC(mi); double range; hopstruct *hp; if (hops == NULL) { if ((hops = (hopstruct *) calloc(MI_NUM_SCREENS(mi), sizeof (hopstruct))) == NULL) return; } hp = &hops[MI_SCREEN(mi)]; hp->centerx = MI_WIDTH(mi) / 2; hp->centery = MI_HEIGHT(mi) / 2; /* Make the other operations less common since they are less interesting */ if (MI_IS_FULLRANDOM(mi)) { hp->op = NRAND(OPS); } else { if (martin) hp->op = MARTIN; else if (popcorn) hp->op = POPCORN; else if (ejk1) hp->op = EJK1; else if (ejk2) hp->op = EJK2; else if (ejk3) hp->op = EJK3; else if (ejk4) hp->op = EJK4; else if (ejk5) hp->op = EJK5; else if (ejk6) hp->op = EJK6; else if (rr) hp->op = RR; else if (jong) hp->op = JONG; else if (sine) hp->op = SINE; else hp->op = NRAND(OPS); } range = sqrt((double) hp->centerx * hp->centerx + (double) hp->centery * hp->centery) / (1.0 + LRAND() / MAXRAND); hp->i = hp->j = 0.0; hp->inc = (int) ((LRAND() / MAXRAND) * 200) - 100; #undef XMARTIN switch (hp->op) { case MARTIN: #ifdef XMARTIN hp->a = (LRAND() / MAXRAND) * 1500.0 + 40.0; hp->b = (LRAND() / MAXRAND) * 17.0 + 3.0; hp->c = (LRAND() / MAXRAND) * 3000.0 + 100.0; #else hp->a = ((LRAND() / MAXRAND) * 2.0 - 1.0) * range / 20.0; hp->b = ((LRAND() / MAXRAND) * 2.0 - 1.0) * range / 20.0; if (LRAND() & 1) hp->c = ((LRAND() / MAXRAND) * 2.0 - 1.0) * range / 20.0; else hp->c = 0.0; #endif if (MI_IS_VERBOSE(mi)) (void) fprintf(stdout, "sqrt a=%g, b=%g, c=%g\n", hp->a, hp->b, hp->c); break; case EJK1: #ifdef XMARTIN hp->a = (LRAND() / MAXRAND) * 500.0; hp->c = (LRAND() / MAXRAND) * 100.0 + 10.0; #else hp->a = ((LRAND() / MAXRAND) * 2.0 - 1.0) * range / 30.0; hp->c = ((LRAND() / MAXRAND) * 2.0 - 1.0) * range / 40.0; #endif hp->b = (LRAND() / MAXRAND) * 0.4; if (MI_IS_VERBOSE(mi)) (void) fprintf(stdout, "ejk1 a=%g, b=%g, c=%g\n", hp->a, hp->b, hp->c); break; case EJK2: #ifdef XMARTIN hp->a = (LRAND() / MAXRAND) * 500.0; #else hp->a = ((LRAND() / MAXRAND) * 2.0 - 1.0) * range / 30.0; #endif hp->b = pow(10.0, 6.0 + (LRAND() / MAXRAND) * 24.0); if (LRAND() & 1) hp->b = -hp->b; hp->c = pow(10.0, (LRAND() / MAXRAND) * 9.0); if (LRAND() & 1) hp->c = -hp->c; if (MI_IS_VERBOSE(mi)) (void) fprintf(stdout, "ejk2 a=%g, b=%g, c=%g\n", hp->a, hp->b, hp->c); break; case EJK3: #ifdef XMARTIN hp->a = (LRAND() / MAXRAND) * 500.0; hp->c = (LRAND() / MAXRAND) * 80.0 + 30.0; #else hp->a = ((LRAND() / MAXRAND) * 2.0 - 1.0) * range / 30.0; hp->c = ((LRAND() / MAXRAND) * 2.0 - 1.0) * range / 70.0; #endif hp->b = (LRAND() / MAXRAND) * 0.35 + 0.5; if (MI_IS_VERBOSE(mi)) (void) fprintf(stdout, "ejk3 a=%g, b=%g, c=%g\n", hp->a, hp->b, hp->c); break; case EJK4: #ifdef XMARTIN hp->a = (LRAND() / MAXRAND) * 1000.0; hp->c = (LRAND() / MAXRAND) * 40.0 + 30.0; #else hp->a = ((LRAND() / MAXRAND) * 2.0 - 1.0) * range / 2.0; hp->c = ((LRAND() / MAXRAND) * 2.0 - 1.0) * range / 200.0; #endif hp->b = (LRAND() / MAXRAND) * 9.0 + 1.0; if (MI_IS_VERBOSE(mi)) (void) fprintf(stdout, "ejk4 a=%g, b=%g, c=%g\n", hp->a, hp->b, hp->c); break; case EJK5: #ifdef XMARTIN hp->a = (LRAND() / MAXRAND) * 600.0; hp->c = (LRAND() / MAXRAND) * 90.0 + 20.0; #else hp->a = ((LRAND() / MAXRAND) * 2.0 - 1.0) * range / 2.0; hp->c = ((LRAND() / MAXRAND) * 2.0 - 1.0) * range / 200.0; #endif hp->b = (LRAND() / MAXRAND) * 0.3 + 0.1; if (MI_IS_VERBOSE(mi)) (void) fprintf(stdout, "ejk5 a=%g, b=%g, c=%g\n", hp->a, hp->b, hp->c); break; case EJK6: #ifdef XMARTIN hp->a = (LRAND() / MAXRAND) * 100.0 + 550.0; #else hp->a = ((LRAND() / MAXRAND) * 2.0 - 1.0) * range / 30.0; #endif hp->b = (LRAND() / MAXRAND) + 0.5; if (MI_IS_VERBOSE(mi)) (void) fprintf(stdout, "ejk6 a=%g, b=%g\n", hp->a, hp->b); break; case RR: #ifdef XMARTIN hp->a = (LRAND() / MAXRAND) * 100.0; hp->b = (LRAND() / MAXRAND) * 20.0; hp->c = (LRAND() / MAXRAND) * 200.0; #else hp->a = ((LRAND() / MAXRAND) * 2.0 - 1.0) * range / 40.0; hp->b = ((LRAND() / MAXRAND) * 2.0 - 1.0) * range / 200.0; hp->c = ((LRAND() / MAXRAND) * 2.0 - 1.0) * range / 20.0; #endif hp->d = (LRAND() / MAXRAND) * 0.9; if (MI_IS_VERBOSE(mi)) (void) fprintf(stdout, "rr a=%g, b=%g, c=%g, d=%g\n", hp->a, hp->b, hp->c, hp->d); break; case POPCORN: hp->a = 0.0; hp->b = 0.0; hp->c = ((LRAND() / MAXRAND) * 2.0 - 1.0) * 0.24 + 0.25; hp->inc = 100; if (MI_IS_VERBOSE(mi)) (void) fprintf(stdout, "popcorn a=%g, b=%g, c=%g, d=%g\n", hp->a, hp->b, hp->c, hp->d); break; case JONG: hp->a = ((LRAND() / MAXRAND) * 2.0 - 1.0) * M_PI; hp->b = ((LRAND() / MAXRAND) * 2.0 - 1.0) * M_PI; hp->c = ((LRAND() / MAXRAND) * 2.0 - 1.0) * M_PI; hp->d = ((LRAND() / MAXRAND) * 2.0 - 1.0) * M_PI; if (MI_IS_VERBOSE(mi)) (void) fprintf(stdout, "jong a=%g, b=%g, c=%g, d=%g\n", hp->a, hp->b, hp->c, hp->d); break; case SINE: /* MARTIN2 */ #ifdef XMARTIN hp->a = M_PI + ((LRAND() / MAXRAND) * 2.0 - 1.0) * 0.07; #else hp->a = M_PI + ((LRAND() / MAXRAND) * 2.0 - 1.0) * 0.7; #endif if (MI_IS_VERBOSE(mi)) (void) fprintf(stdout, "sine a=%g\n", hp->a); break; } if (MI_NPIXELS(mi) > 2) hp->pix = NRAND(MI_NPIXELS(mi)); hp->bufsize = MI_COUNT(mi); if (hp->bufsize < 1) hp->bufsize = 1; if (hp->pointBuffer == NULL) { if ((hp->pointBuffer = (XPoint *) malloc(hp->bufsize * sizeof (XPoint))) == NULL) return; } MI_CLEARWINDOW(mi); XSetForeground(display, gc, MI_WHITE_PIXEL(mi)); hp->count = 0; } void draw_hop(ModeInfo * mi) { double oldj, oldi; XPoint *xp; int k; hopstruct *hp; if (hops == NULL) return; hp = &hops[MI_SCREEN(mi)]; if (hp->pointBuffer == NULL) return; xp = hp->pointBuffer; k = hp->bufsize; MI_IS_DRAWN(mi) = True; hp->inc++; if (MI_NPIXELS(mi) > 2) { XSetForeground(MI_DISPLAY(mi), MI_GC(mi), MI_PIXEL(mi, hp->pix)); if (++hp->pix >= MI_NPIXELS(mi)) hp->pix = 0; } while (k--) { oldj = hp->j; switch (hp->op) { case MARTIN: /* SQRT, MARTIN1 */ oldi = hp->i + hp->inc; hp->j = hp->a - hp->i; hp->i = oldj + ((hp->i < 0) ? sqrt(fabs(hp->b * oldi - hp->c)) : -sqrt(fabs(hp->b * oldi - hp->c))); xp->x = hp->centerx + (int) (hp->i + hp->j); xp->y = hp->centery - (int) (hp->i - hp->j); break; case EJK1: oldi = hp->i + hp->inc; hp->j = hp->a - hp->i; hp->i = oldj - ((hp->i > 0) ? (hp->b * oldi - hp->c) : -(hp->b * oldi - hp->c)); xp->x = hp->centerx + (int) (hp->i + hp->j); xp->y = hp->centery - (int) (hp->i - hp->j); break; case EJK2: oldi = hp->i + hp->inc; hp->j = hp->a - hp->i; hp->i = oldj - ((hp->i < 0) ? log(fabs(hp->b * oldi - hp->c)) : -log(fabs(hp->b * oldi - hp->c))); xp->x = hp->centerx + (int) (hp->i + hp->j); xp->y = hp->centery - (int) (hp->i - hp->j); break; case EJK3: oldi = hp->i + hp->inc; hp->j = hp->a - hp->i; hp->i = oldj - ((hp->i > 0) ? sin(hp->b * oldi) - hp->c : -sin(hp->b * oldi) - hp->c); xp->x = hp->centerx + (int) (hp->i + hp->j); xp->y = hp->centery - (int) (hp->i - hp->j); break; case EJK4: oldi = hp->i + hp->inc; hp->j = hp->a - hp->i; hp->i = oldj - ((hp->i > 0) ? sin(hp->b * oldi) - hp->c : -sqrt(fabs(hp->b * oldi - hp->c))); xp->x = hp->centerx + (int) (hp->i + hp->j); xp->y = hp->centery - (int) (hp->i - hp->j); break; case EJK5: oldi = hp->i + hp->inc; hp->j = hp->a - hp->i; hp->i = oldj - ((hp->i > 0) ? sin(hp->b * oldi) - hp->c : -(hp->b * oldi - hp->c)); xp->x = hp->centerx + (int) (hp->i + hp->j); xp->y = hp->centery - (int) (hp->i - hp->j); break; case EJK6: oldi = hp->i + hp->inc; hp->j = hp->a - hp->i; hp->i = oldj - asin((hp->b * oldi) - (long) (hp->b * oldi)); xp->x = hp->centerx + (int) (hp->i + hp->j); xp->y = hp->centery - (int) (hp->i - hp->j); break; case RR: /* RR1 */ oldi = hp->i + hp->inc; hp->j = hp->a - hp->i; hp->i = oldj - ((hp->i < 0) ? -pow(fabs(hp->b * oldi - hp->c), hp->d) : pow(fabs(hp->b * oldi - hp->c), hp->d)); xp->x = hp->centerx + (int) (hp->i + hp->j); xp->y = hp->centery - (int) (hp->i - hp->j); break; case POPCORN: #define HVAL 0.05 #define INCVAL 50 { double tempi, tempj; if (hp->inc >= 100) hp->inc = 0; if (hp->inc == 0) { if (hp->a++ >= INCVAL) { hp->a = 0; if (hp->b++ >= INCVAL) hp->b = 0; } hp->i = (-hp->c * INCVAL / 2 + hp->c * hp->a) * M_PI / 180.0; hp->j = (-hp->c * INCVAL / 2 + hp->c * hp->b) * M_PI / 180.0; } tempi = hp->i - HVAL * sin(hp->j + tan(3.0 * hp->j)); tempj = hp->j - HVAL * sin(hp->i + tan(3.0 * hp->i)); xp->x = hp->centerx + (int) (MI_WIDTH(mi) / 40 * tempi); xp->y = hp->centery + (int) (MI_HEIGHT(mi) / 40 * tempj); hp->i = tempi; hp->j = tempj; } break; case JONG: if (hp->centerx > 0) oldi = hp->i + 4 * hp->inc / hp->centerx; else oldi = hp->i; hp->j = sin(hp->c * hp->i) - cos(hp->d * hp->j); hp->i = sin(hp->a * oldj) - cos(hp->b * oldi); xp->x = hp->centerx + (int) (hp->centerx * (hp->i + hp->j) / 4.0); xp->y = hp->centery - (int) (hp->centery * (hp->i - hp->j) / 4.0); break; case SINE: /* MARTIN2 */ oldi = hp->i + hp->inc; hp->j = hp->a - hp->i; hp->i = oldj - sin(oldi); xp->x = hp->centerx + (int) (hp->i + hp->j); xp->y = hp->centery - (int) (hp->i - hp->j); break; } xp++; } XDrawPoints(MI_DISPLAY(mi), MI_WINDOW(mi), MI_GC(mi), hp->pointBuffer, hp->bufsize, CoordModeOrigin); if (++hp->count > MI_CYCLES(mi)) { init_hop(mi); } } void release_hop(ModeInfo * mi) { if (hops != NULL) { int screen; for (screen = 0; screen < MI_NUM_SCREENS(mi); screen++) { hopstruct *hp = &hops[screen]; if (hp->pointBuffer != NULL) free(hp->pointBuffer); } free(hops); hops = (hopstruct *) NULL; } } void refresh_hop(ModeInfo * mi) { MI_CLEARWINDOW(mi); } #endif /* MODE_hop */