452 lines
14 KiB
C
452 lines
14 KiB
C
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/* -*- Mode: C; tab-width: 4 -*- */
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/*-
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* braid --- random braids around a circle and then changes the color in
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* a rotational pattern
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*/
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#if !defined( lint ) && !defined( SABER )
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static const char sccsid[] = "@(#)braid.c 5.00 2000/11/01 xlockmore";
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#endif
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/*-
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* Copyright (c) 1995 by John Neil.
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*
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* Permission to use, copy, modify, and distribute this software and its
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* documentation for any purpose and without fee is hereby granted,
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* provided that the above copyright notice appear in all copies and that
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* both that copyright notice and this permission notice appear in
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* supporting documentation.
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*
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* This file is provided AS IS with no warranties of any kind. The author
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* shall have no liability with respect to the infringement of copyrights,
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* trade secrets or any patents by this file or any part thereof. In no
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* event will the author be liable for any lost revenue or profits or
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* other special, indirect and consequential damages.
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*
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* Revision History:
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* 01-Nov-2000: Allocation checks
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* 10-May-1997: Jamie Zawinski <jwz@jwz.org> compatible with xscreensaver
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* 01-Sep-1995: color knotted components differently, J. Neil.
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* 29-Aug-1995: Written. John Neil <neil@math.idbsu.edu>
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*/
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#ifdef STANDALONE
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#define MODE_braid
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#define PROGCLASS "Braid"
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#define HACK_INIT init_braid
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#define HACK_DRAW draw_braid
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#define braid_opts xlockmore_opts
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#define DEFAULTS "*delay: 1000 \n" \
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"*count: 15 \n" \
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"*cycles: 100 \n" \
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"*size: -7 \n" \
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"*ncolors: 64 \n"
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#define UNIFORM_COLORS
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#include "xlockmore.h"
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#else /* STANDALONE */
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#include "xlock.h"
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#endif /* STANDALONE */
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#ifdef MODE_braid
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ModeSpecOpt braid_opts =
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{0, (XrmOptionDescRec *) NULL, 0, (argtype *) NULL, (OptionStruct *) NULL};
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#ifdef USE_MODULES
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ModStruct braid_description =
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{"braid", "init_braid", "draw_braid", "release_braid",
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"refresh_braid", "init_braid", (char *) NULL, &braid_opts,
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1000, 15, 100, 1, 64, 1.0, "",
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"Shows random braids and knots", 0, NULL};
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#endif
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#if defined( COLORROUND ) && defined( COLORCOMP )
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#undef COLORROUND
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#undef COLORCOMP
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#endif
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#if !defined( COLORROUND ) && !defined( COLORCOMP )
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#if 0
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/* to color in a circular pattern use COLORROUND */
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#define COLORROUND
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#else
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/* to color by component use COLORCOMP */
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#define COLORCOMP
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#endif
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#endif
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#define MAXLENGTH 50 /* the maximum length of a braid word */
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#define MINLENGTH 8 /* the minimum length of a braid word */
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#define MAXSTRANDS 15 /* the maximum number of strands in the braid */
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#define MINSTRANDS 3 /* the minimum number of strands in the braid */
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#define SPINRATE 12.0 /* the rate at which the colors spin */
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#define INTRAND(min,max) (NRAND((max+1)-(min))+(min))
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#define FLOATRAND(min,max) ((min)+((double) LRAND()/((double) MAXRAND))*((max)-(min)))
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typedef struct {
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int linewidth;
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int braidword[MAXLENGTH];
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int components[MAXSTRANDS];
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int startcomp[MAXLENGTH][MAXSTRANDS];
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int nstrands;
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int braidlength;
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float startcolor;
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int center_x;
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int center_y;
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float min_radius;
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float max_radius;
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float top, bottom, left, right;
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int age;
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int color_direction;
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} braidtype;
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static braidtype *braids = (braidtype *) NULL;
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static int
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applyword(braidtype * braid, int string, int position)
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{
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int i, c;
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c = string;
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for (i = position; i < braid->braidlength; i++) {
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if (c == ABS(braid->braidword[i]))
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c--;
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else if (c == ABS(braid->braidword[i]) - 1)
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c++;
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}
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for (i = 0; i < position; i++) {
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if (c == ABS(braid->braidword[i]))
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c--;
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else if (c == ABS(braid->braidword[i]) - 1)
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c++;
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}
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return c;
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}
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#if 0
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static int
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applywordto(braidtype * braid, int string, int position)
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{
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int i, c;
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c = string;
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for (i = 0; i < position; i++) {
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if (c == ABS(braid->braidword[i])) {
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c--;
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} else if (c == ABS(braid->braidword[i]) - 1) {
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c++;
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}
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}
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return c;
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}
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#endif
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static int
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applywordbackto(braidtype * braid, int string, int position)
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{
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int i, c;
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c = string;
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for (i = position - 1; i >= 0; i--) {
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if (c == ABS(braid->braidword[i])) {
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c--;
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} else if (c == ABS(braid->braidword[i]) - 1) {
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c++;
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}
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}
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return c;
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}
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void
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init_braid(ModeInfo * mi)
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{
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braidtype *braid;
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int used[MAXSTRANDS];
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int i, count, comp, c;
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float min_length;
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if (braids == NULL) {
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if ((braids = (braidtype *) calloc(MI_NUM_SCREENS(mi),
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sizeof (braidtype))) == NULL)
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return;
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}
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braid = &braids[MI_SCREEN(mi)];
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braid->center_x = MI_WIDTH(mi) / 2;
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braid->center_y = MI_HEIGHT(mi) / 2;
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braid->age = 0;
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/* jwz: go in the other direction sometimes. */
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braid->color_direction = ((LRAND() & 1) ? 1 : -1);
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MI_CLEARWINDOW(mi);
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min_length = (braid->center_x > braid->center_y) ?
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braid->center_y : braid->center_x;
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braid->min_radius = min_length * 0.30;
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braid->max_radius = min_length * 0.90;
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if (MI_COUNT(mi) < MINSTRANDS)
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braid->nstrands = MINSTRANDS;
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else
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braid->nstrands = INTRAND(MINSTRANDS,
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MAX(MIN(MIN(MAXSTRANDS, MI_COUNT(mi)),
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(int) ((braid->max_radius - braid->min_radius) / 5.0)), MINSTRANDS));
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braid->braidlength = INTRAND(MINLENGTH, MIN(MAXLENGTH, braid->nstrands * 6));
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for (i = 0; i < braid->braidlength; i++) {
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braid->braidword[i] =
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INTRAND(1, braid->nstrands - 1) * (INTRAND(1, 2) * 2 - 3);
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if (i > 0)
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while (braid->braidword[i] == -braid->braidword[i - 1])
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braid->braidword[i] = INTRAND(1, braid->nstrands - 1) * (INTRAND(1, 2) * 2 - 3);
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}
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while (braid->braidword[0] == -braid->braidword[braid->braidlength - 1])
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braid->braidword[braid->braidlength - 1] =
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INTRAND(1, braid->nstrands - 1) * (INTRAND(1, 2) * 2 - 3);
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do {
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(void) memset((char *) used, 0, sizeof (used));
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count = 0;
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for (i = 0; i < braid->braidlength; i++)
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used[ABS(braid->braidword[i])]++;
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for (i = 0; i < braid->nstrands; i++)
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count += (used[i] > 0) ? 1 : 0;
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if (count < braid->nstrands - 1) {
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braid->braidword[braid->braidlength] =
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INTRAND(1, braid->nstrands - 1) * (INTRAND(1, 2) * 2 - 3);
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while (braid->braidword[braid->braidlength] ==
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-braid->braidword[braid->braidlength - 1] &&
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braid->braidword[0] == -braid->braidword[braid->braidlength])
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braid->braidword[braid->braidlength] =
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INTRAND(1, braid->nstrands - 1) * (INTRAND(1, 2) * 2 - 3);
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braid->braidlength++;
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}
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} while (count < braid->nstrands - 1 && braid->braidlength < MAXLENGTH);
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braid->startcolor = (MI_NPIXELS(mi) > 2) ?
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(float) NRAND(MI_NPIXELS(mi)) : 0.0;
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/* XSetLineAttributes (display, MI_GC(mi), 2, LineSolid, CapRound,
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JoinRound); */
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(void) memset((char *) braid->components, 0, sizeof (braid->components));
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c = 1;
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comp = 0;
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braid->components[0] = 1;
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do {
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i = comp;
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do {
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i = applyword(braid, i, 0);
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braid->components[i] = braid->components[comp];
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} while (i != comp);
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count = 0;
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for (i = 0; i < braid->nstrands; i++)
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if (braid->components[i] == 0)
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count++;
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if (count > 0) {
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for (comp = 0; braid->components[comp] != 0; comp++);
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braid->components[comp] = ++c;
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}
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} while (count > 0);
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braid->linewidth = MI_SIZE(mi);
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if (braid->linewidth < 0)
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braid->linewidth = NRAND(-braid->linewidth) + 1;
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if (braid->linewidth * braid->linewidth * 8 > MIN(MI_WIDTH(mi), MI_HEIGHT(mi)))
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braid->linewidth = MIN(1, (int) sqrt((double) MIN(MI_WIDTH(mi), MI_HEIGHT(mi)) / 8));
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for (i = 0; i < braid->nstrands; i++)
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if (!(braid->components[i] & 1))
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braid->components[i] *= -1;
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}
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void
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draw_braid(ModeInfo * mi)
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{
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Display *display = MI_DISPLAY(mi);
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Window window = MI_WINDOW(mi);
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int num_points = 500;
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float t_inc;
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float theta, psi;
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float t, r_diff;
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int i, s;
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float x_1, y_1, x_2, y_2, r1, r2;
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float color, color_use = 0.0, color_inc;
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braidtype *braid;
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if (braids == NULL)
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return;
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braid = &braids[MI_SCREEN(mi)];
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MI_IS_DRAWN(mi) = True;
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XSetLineAttributes(display, MI_GC(mi), braid->linewidth,
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LineSolid,
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(braid->linewidth <= 3 ? CapButt : CapRound),
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JoinMiter);
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theta = (2.0 * M_PI) / (float) (braid->braidlength);
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t_inc = (2.0 * M_PI) / (float) num_points;
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color_inc = (float) MI_NPIXELS(mi) * braid->color_direction /
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(float) num_points;
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braid->startcolor += SPINRATE * color_inc;
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if (((int) braid->startcolor) >= MI_NPIXELS(mi))
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braid->startcolor = 0.0;
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r_diff = (braid->max_radius - braid->min_radius) / (float) (braid->nstrands);
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color = braid->startcolor;
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psi = 0.0;
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for (i = 0; i < braid->braidlength; i++) {
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psi += theta;
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for (t = 0.0; t < theta; t += t_inc) {
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#ifdef COLORROUND
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color += color_inc;
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if (((int) color) >= MI_NPIXELS(mi))
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color = 0.0;
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color_use = color;
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#endif
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for (s = 0; s < braid->nstrands; s++) {
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if (ABS(braid->braidword[i]) == s)
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continue;
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if (ABS(braid->braidword[i]) - 1 == s) {
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/* crosSINFg */
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#ifdef COLORCOMP
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if (MI_NPIXELS(mi) > 2) {
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color_use = color + SPINRATE *
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braid->components[applywordbackto(braid, s, i)] +
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(psi + t) / 2.0 / M_PI * (float) MI_NPIXELS(mi);
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while (((int) color_use) >= MI_NPIXELS(mi))
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color_use -= (float) MI_NPIXELS(mi);
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while (((int) color_use) < 0)
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color_use += (float) MI_NPIXELS(mi);
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}
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#endif
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#ifdef COLORROUND
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if (MI_NPIXELS(mi) > 2) {
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color_use += SPINRATE * color_inc;
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while (((int) color_use) >= MI_NPIXELS(mi))
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color_use -= (float) MI_NPIXELS(mi);
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}
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#endif
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r1 = braid->min_radius + r_diff * (float) (s);
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r2 = braid->min_radius + r_diff * (float) (s + 1);
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if (braid->braidword[i] > 0 ||
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(FABSF(t - theta / 2.0) > theta / 7.0)) {
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x_1 = ((0.5 * (1.0 + SINF(t / theta * M_PI - M_PI_2)) * r2 +
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0.5 * (1.0 + SINF((theta - t) / theta * M_PI - M_PI_2)) * r1)) *
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COSF(t + psi) + braid->center_x;
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y_1 = ((0.5 * (1.0 + SINF(t / theta * M_PI - M_PI_2)) * r2 +
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0.5 * (1.0 + SINF((theta - t) / theta * M_PI - M_PI_2)) * r1)) *
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SINF(t + psi) + braid->center_y;
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|
x_2 = ((0.5 * (1.0 + SINF((t + t_inc) / theta * M_PI - M_PI_2)) * r2 +
|
||
|
|
0.5 * (1.0 + SINF((theta - t - t_inc) / theta * M_PI - M_PI_2)) * r1)) *
|
||
|
|
COSF(t + t_inc + psi) + braid->center_x;
|
||
|
|
y_2 = ((0.5 * (1.0 + SINF((t + t_inc) / theta * M_PI - M_PI_2)) * r2 +
|
||
|
|
0.5 * (1.0 + SINF((theta - t - t_inc) / theta * M_PI - M_PI_2)) * r1)) *
|
||
|
|
SINF(t + t_inc + psi) + braid->center_y;
|
||
|
|
if (MI_NPIXELS(mi) > 2)
|
||
|
|
XSetForeground(display, MI_GC(mi), MI_PIXEL(mi, (int) color_use));
|
||
|
|
else
|
||
|
|
XSetForeground(display, MI_GC(mi), MI_WHITE_PIXEL(mi));
|
||
|
|
|
||
|
|
XDrawLine(display, window, MI_GC(mi),
|
||
|
|
(int) (x_1), (int) (y_1), (int) (x_2), (int) (y_2));
|
||
|
|
}
|
||
|
|
#ifdef COLORCOMP
|
||
|
|
if (MI_NPIXELS(mi) > 2) {
|
||
|
|
color_use = color + SPINRATE *
|
||
|
|
braid->components[applywordbackto(braid, s + 1, i)] +
|
||
|
|
(psi + t) / 2.0 / M_PI * (float) MI_NPIXELS(mi);
|
||
|
|
while (((int) color_use) >= MI_NPIXELS(mi))
|
||
|
|
color_use -= (float) MI_NPIXELS(mi);
|
||
|
|
while (((int) color_use) < 0)
|
||
|
|
color_use += (float) MI_NPIXELS(mi);
|
||
|
|
}
|
||
|
|
#endif
|
||
|
|
if (braid->braidword[i] < 0 ||
|
||
|
|
(FABSF(t - theta / 2.0) > theta / 7.0)) {
|
||
|
|
x_1 = ((0.5 * (1.0 + SINF(t / theta * M_PI - M_PI_2)) * r1 +
|
||
|
|
0.5 * (1.0 + SINF((theta - t) / theta * M_PI - M_PI_2)) * r2)) *
|
||
|
|
COSF(t + psi) + braid->center_x;
|
||
|
|
y_1 = ((0.5 * (1.0 + SINF(t / theta * M_PI - M_PI_2)) * r1 +
|
||
|
|
0.5 * (1.0 + SINF((theta - t) / theta * M_PI - M_PI_2)) * r2)) *
|
||
|
|
SINF(t + psi) + braid->center_y;
|
||
|
|
x_2 = ((0.5 * (1.0 + SINF((t + t_inc) / theta * M_PI - M_PI_2)) * r1 +
|
||
|
|
0.5 * (1.0 + SINF((theta - t - t_inc) / theta * M_PI - M_PI_2)) * r2)) *
|
||
|
|
COSF(t + t_inc + psi) + braid->center_x;
|
||
|
|
y_2 = ((0.5 * (1.0 + SINF((t + t_inc) / theta * M_PI - M_PI_2)) * r1 +
|
||
|
|
0.5 * (1.0 + SINF((theta - t - t_inc) / theta * M_PI - M_PI_2)) * r2)) *
|
||
|
|
SINF(t + t_inc + psi) + braid->center_y;
|
||
|
|
if (MI_NPIXELS(mi) > 2)
|
||
|
|
XSetForeground(display, MI_GC(mi), MI_PIXEL(mi, (int) color_use));
|
||
|
|
else
|
||
|
|
XSetForeground(display, MI_GC(mi), MI_WHITE_PIXEL(mi));
|
||
|
|
|
||
|
|
XDrawLine(display, window, MI_GC(mi),
|
||
|
|
(int) (x_1), (int) (y_1), (int) (x_2), (int) (y_2));
|
||
|
|
}
|
||
|
|
} else {
|
||
|
|
/* no crosSINFg */
|
||
|
|
#ifdef COLORCOMP
|
||
|
|
if (MI_NPIXELS(mi) > 2) {
|
||
|
|
color_use = color + SPINRATE *
|
||
|
|
braid->components[applywordbackto(braid, s, i)] +
|
||
|
|
(psi + t) / 2.0 / M_PI * (float) MI_NPIXELS(mi);
|
||
|
|
while (((int) color_use) >= MI_NPIXELS(mi))
|
||
|
|
color_use -= (float) MI_NPIXELS(mi);
|
||
|
|
while (((int) color_use) < 0)
|
||
|
|
color_use += (float) MI_NPIXELS(mi);
|
||
|
|
}
|
||
|
|
#endif
|
||
|
|
#ifdef COLORROUND
|
||
|
|
if (MI_NPIXELS(mi) > 2) {
|
||
|
|
color_use += SPINRATE * color_inc;
|
||
|
|
while (((int) color_use) >= MI_NPIXELS(mi))
|
||
|
|
color_use -= (float) MI_NPIXELS(mi);
|
||
|
|
}
|
||
|
|
#endif
|
||
|
|
r1 = braid->min_radius + r_diff * (float) (s);
|
||
|
|
x_1 = r1 * COSF(t + psi) + braid->center_x;
|
||
|
|
y_1 = r1 * SINF(t + psi) + braid->center_y;
|
||
|
|
x_2 = r1 * COSF(t + t_inc + psi) + braid->center_x;
|
||
|
|
y_2 = r1 * SINF(t + t_inc + psi) + braid->center_y;
|
||
|
|
if (MI_NPIXELS(mi) > 2)
|
||
|
|
XSetForeground(display, MI_GC(mi), MI_PIXEL(mi, (int) color_use));
|
||
|
|
else
|
||
|
|
XSetForeground(display, MI_GC(mi), MI_WHITE_PIXEL(mi));
|
||
|
|
|
||
|
|
XDrawLine(display, window, MI_GC(mi),
|
||
|
|
(int) (x_1), (int) (y_1), (int) (x_2), (int) (y_2));
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
XSetLineAttributes(display, MI_GC(mi), 1, LineSolid, CapNotLast, JoinRound);
|
||
|
|
|
||
|
|
if (++braid->age > MI_CYCLES(mi)) {
|
||
|
|
init_braid(mi);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
void
|
||
|
|
release_braid(ModeInfo * mi)
|
||
|
|
{
|
||
|
|
if (braids != NULL) {
|
||
|
|
free(braids);
|
||
|
|
braids = (braidtype *) NULL;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
void
|
||
|
|
refresh_braid(ModeInfo * mi)
|
||
|
|
{
|
||
|
|
MI_CLEARWINDOW(mi);
|
||
|
|
}
|
||
|
|
|
||
|
|
#endif /* MODE_braid */
|