ftp://ftp.uni-heidelberg.de/pub/X11/contrib/applications/xscreensaver-2.07.tar.gz
[xscreensaver] / hacks / swirl.c
diff --git a/hacks/swirl.c b/hacks/swirl.c
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+/* -*- Mode: C; tab-width: 4 -*-
+ * swirl --- swirly color-cycling patterns.
+ */
+#if !defined( lint ) && !defined( SABER )
+static const char sccsid[] = "@(#)swirl.c      4.00 97/01/01 xlockmore";
+#endif
+
+/* Copyright (c) 1994 M.Dobie <mrd@ecs.soton.ac.uk>
+ *
+ * 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.
+ *
+ * 13-May-97: jwz@netscape.com: turned into a standalone program.
+ * 21-Apr-95: improved startup time for TrueColour displays
+ *            (limited to 16bpp to save memory) S.Early <sde1000@cam.ac.uk>
+ * 09-Jan-95: fixed colour maps (more colourful) and the image now spirals
+ *            outwards from the centre with a fixed number of points drawn
+ *            every iteration. Thanks to M.Dobie <mrd@ecs.soton.ac.uk>.
+ * 1994:      written.   Copyright (c) 1994 M.Dobie <mrd@ecs.soton.ac.uk>
+ *            based on original code by R.Taylor
+ */
+
+#ifdef STANDALONE
+# define PROGCLASS                                     "Swirl"
+# define HACK_INIT                                     init_swirl
+# define HACK_DRAW                                     draw_swirl
+# define swirl_opts                                    xlockmore_opts
+# define DEFAULTS      "*count:                5       \n"                     \
+                                       "*delay:                10000   \n"                     \
+                                       "*ncolors:              200     \n"
+# define SMOOTH_COLORS
+# define WRITABLE_COLORS
+# include "xlockmore.h"                                /* from the xscreensaver distribution */
+# include <X11/Xutil.h>
+#else  /* !STANDALONE */
+# include "xlock.h"                                    /* from the xlockmore distribution */
+#endif /* !STANDALONE */
+
+ModeSpecOpt swirl_opts = {
+  0, NULL, 0, NULL, NULL };
+
+#include <time.h>
+
+/****************************************************************/
+
+#define MASS            4      /* maximum mass of a knot */
+#define MIN_RES         5      /* minimim resolution (>= MIN_RES) */
+#define MAX_RES         1      /* maximum resolution (>0) */
+#define TWO_PLANE_PCNT  30     /* probability for two plane mode (0-100) */
+#define RESTART         2500   /* number of cycles before restart */
+#define BATCH_DRAW      100    /* points to draw per iteration */
+
+/* knot types */
+typedef enum {
+       NONE = 0,
+       ORBIT = (1 << 0),
+       WHEEL = (1 << 1),
+       PICASSO = (1 << 2),
+       RAY = (1 << 3),
+       HOOK = (1 << 4),
+       ALL = (1 << 5)
+} KNOT_T;
+
+/* a knot */
+typedef struct Knot {
+       int         x, y;       /* position */
+       int         m;          /* mass */
+       KNOT_T      t;          /* type in the first (or only) plane */
+       KNOT_T      T;          /* type in second plane if there is one */
+       int         M;          /* mass in second plane if there is one */
+} KNOT     , *KNOT_P;
+
+/* a colour specification */
+typedef struct Colour {
+       unsigned short r, g, b;
+} COLOUR   , *COLOUR_P;
+
+/* drawing direction */
+typedef enum {
+       DRAW_RIGHT, DRAW_DOWN, DRAW_LEFT, DRAW_UP
+} DIR_T;
+
+/****************************************************************/
+
+/* data associated with a swirl window */
+typedef struct swirl_data {
+       /* window paramaters */
+       Window      win;        /* the window */
+       int         width, height;      /* window size */
+       int         depth;      /* depth */
+       int         rdepth;     /* real depth (for XImage) */
+       Visual     *visual;     /* visual */
+
+       /* swirl drawing parameters */
+       int         n_knots;    /* number of knots */
+       KNOT_P      knots;      /* knot details */
+       KNOT_T      knot_type;  /* general type of knots */
+       int         resolution; /* drawing resolution, 1..5 */
+       int         max_resolution;     /* maximum resolution, MAX_RES */
+       int         r;          /* pixel step */
+       Bool        two_plane;  /* two plane mode? */
+       Bool        first_plane;        /* doing first plane? */
+       int         start_again;        /* when to restart */
+
+       /* spiral drawing parameters */
+       int         x, y;       /* current point */
+       DIR_T       direction;  /* current direction */
+       int         dir_todo, dir_done;         /* how many points in current direction? */
+       int         batch_todo, batch_done;     /* how many points in this batch */
+       Bool        started, drawing;   /* are we drawing? */
+
+       /* image stuff */
+       unsigned char *image;   /* image data */
+       XImage     *ximage;
+
+       /* colours stuff */
+       int         colours;    /* how many colours possible */
+       int         dcolours;   /* how many colours for shading */
+#ifndef STANDALONE
+       Bool        fixed_colourmap;    /* fixed colourmap? */
+#endif /* !STANDALONE */
+       Bool        monochrome; /* monochrome? */
+       Colormap    cmap;       /* colour map for the window */
+       XColor     *rgb_values; /* colour definitions array */
+#ifndef STANDALONE
+       int         current_map;        /* current colour map, 0..dcolours-1 */
+       unsigned long fg, bg, white, black;     /* black and white pixel values */
+       int         shift;      /* colourmap shift */
+       int         dshift;     /* colourmap shift while drawing */
+       XColor      fgcol, bgcol;       /* foreground and background colour specs */
+#endif /* !STANDALONE */
+       Bool       off_screen;
+} SWIRL    , *SWIRL_P;
+
+#define SWIRLCOLOURS 13
+
+#ifndef STANDALONE
+/* basic colours */
+static COLOUR basic_colours[SWIRLCOLOURS];
+#endif /* !STANDALONE */
+
+/* an array of swirls for each screen */
+static SWIRL_P swirls = NULL;
+
+/* 
+   random_no
+
+   Return a random integer between 0 and n inclusive
+
+   -      n is the maximum number
+
+   Returns a random integer */
+
+static int
+random_no(unsigned int n)
+{
+       return ((int) ((n + 1) * (double) LRAND() / MAXRAND));
+}
+
+/****************************************************************/
+
+/* 
+   initialise_swirl
+
+   Initialise all the swirl data
+
+   -      swirl is the swirl data */
+
+static void
+initialise_swirl(ModeInfo * mi, SWIRL_P swirl)
+{
+#ifndef STANDALONE
+       Display    *display = MI_DISPLAY(mi);
+#endif /* !STANDALONE */
+
+       swirl->width = 0;       /* width and height of window */
+       swirl->height = 0;
+       swirl->depth = 1;
+       swirl->rdepth = 1;
+       swirl->visual = NULL;
+       swirl->resolution = MIN_RES + 1;        /* current resolution */
+       swirl->max_resolution = MAX_RES;        /* maximum resolution */
+       swirl->n_knots = 0;     /* number of knots */
+       swirl->knot_type = ALL; /* general type of knots */
+       swirl->two_plane = False;       /* two plane mode? */
+       swirl->first_plane = False;     /* doing first plane? */
+       swirl->start_again = -1;        /* restart counter */
+
+       /* drawing parameters */
+       swirl->x = 0;
+       swirl->y = 0;
+       swirl->started = False;
+       swirl->drawing = False;
+
+       /* image stuff */
+       swirl->image = NULL;    /* image data */
+       swirl->ximage = NULL;
+
+       /* colours stuff */
+       swirl->colours = 0;     /* how many colours possible */
+       swirl->dcolours = 0;    /* how many colours for shading */
+       swirl->cmap = (Colormap) NULL;
+       swirl->rgb_values = NULL;       /* colour definitions array */
+#ifndef STANDALONE
+       swirl->current_map = 0; /* current colour map, 0..dcolours-1 */
+
+       /* set up fg fb colour specs */
+       swirl->white = MI_WIN_WHITE_PIXEL(mi);
+       swirl->black = MI_WIN_BLACK_PIXEL(mi);
+#endif /* !STANDALONE */
+
+
+#ifdef STANDALONE
+# define MI_COLORMAP MI_WIN_COLORMAP
+#else /* !STANDALONE */
+       swirl->fg = MI_FG_COLOR(mi);
+       swirl->bg = MI_BG_COLOR(mi);
+       swirl->fgcol.pixel = swirl->fg;
+       swirl->bgcol.pixel = swirl->bg;
+       XQueryColor(display, MI_COLORMAP(mi), &(swirl->fgcol));
+       XQueryColor(display, MI_COLORMAP(mi), &(swirl->bgcol));
+#endif /* !STANDALONE */
+}
+
+/****************************************************************/
+
+/* 
+ * initialise_image
+ *
+ * Initialise the image for drawing to
+ *
+ * -      swirl is the swirl data
+ */
+static void
+initialise_image(Display * dpy, SWIRL_P swirl)
+{
+       unsigned int pad;
+       int         bytes_per_line;
+       int image_depth = swirl->rdepth;
+       int data_depth = image_depth;
+
+       /* On SGIs at least, using an XImage of depth 24 on a Visual of depth 24
+          requires the XImage data to use 32 bits per pixel.  I don't understand
+          how one is supposed to determine this -- maybe XListPixmapFormats?
+          But on systems that don't work this way, allocating 32 bpp instead of
+          24 will be wasteful but non-fatal.  -- jwz, 16-May-97. */
+       if (data_depth >= 24 && data_depth < 32)
+         data_depth = 32;
+
+       /* get the bitmap pad */
+       pad = BitmapPad(dpy);
+       /* destroy the old image (destroy XImage and data) */
+       if (swirl->ximage != NULL)
+               XDestroyImage(swirl->ximage);
+
+       /* how many bytes per line? (bits rounded up to pad) */
+       bytes_per_line = ((swirl->width * data_depth + pad - 1) / pad) * (pad / 8);
+
+       /* allocate space for the image */
+       swirl->image = (unsigned char *) calloc(bytes_per_line * swirl->height, 1);
+
+       /* create an ximage with this */
+       swirl->ximage = XCreateImage(dpy, swirl->visual, image_depth, ZPixmap,
+                                    0, (char *) swirl->image, swirl->width,
+                                    swirl->height, pad, bytes_per_line);
+}
+
+/****************************************************************/
+
+#ifndef STANDALONE
+/* 
+ * initialise_colours
+ *
+ * Initialise the list of colours from which the colourmaps are derived
+ *
+ * -      colours is the array to initialise
+ * -      saturation is the saturation value to use 0->grey,
+ *            1.0->full saturation
+ */
+static void
+initialise_colours(COLOUR * colours, float saturate)
+{
+       int         i;
+
+       /* start off fully saturated, medium and bright colours */
+       colours[0].r = 0xA000;
+       colours[0].g = 0x0000;
+       colours[0].b = 0x0000;
+       colours[1].r = 0xD000;
+       colours[1].g = 0x0000;
+       colours[1].b = 0x0000;
+       colours[2].r = 0x0000;
+       colours[2].g = 0x6000;
+       colours[2].b = 0x0000;
+       colours[3].r = 0x0000;
+       colours[3].g = 0x9000;
+       colours[3].b = 0x0000;
+       colours[4].r = 0x0000;
+       colours[4].g = 0x0000;
+       colours[4].b = 0xC000;
+       colours[5].r = 0x0000;
+       colours[5].g = 0x0000;
+       colours[5].b = 0xF000;
+       colours[6].r = 0xA000;
+       colours[6].g = 0x6000;
+       colours[6].b = 0x0000;
+       colours[7].r = 0xD000;
+       colours[7].g = 0x9000;
+       colours[7].b = 0x0000;
+       colours[8].r = 0xA000;
+       colours[8].g = 0x0000;
+       colours[8].b = 0xC000;
+       colours[9].r = 0xD000;
+       colours[9].g = 0x0000;
+       colours[9].b = 0xF000;
+       colours[10].r = 0x0000;
+       colours[10].g = 0x6000;
+       colours[10].b = 0xC000;
+       colours[11].r = 0x0000;
+       colours[11].g = 0x9000;
+       colours[11].b = 0xF000;
+       colours[12].r = 0xA000;
+       colours[12].g = 0xA000;
+       colours[12].b = 0xA000;
+
+       /* add white for low saturation */
+       for (i = 0; i < SWIRLCOLOURS - 1; i++) {
+               unsigned short max_rg, max;
+
+               /* what is the max intensity for this colour? */
+               max_rg = (colours[i].r > colours[i].g) ? colours[i].r : colours[i].g;
+               max = (max_rg > colours[i].b) ? max_rg : colours[i].b;
+
+               /* bring elements up to max as saturation approaches 0.0 */
+               colours[i].r += (unsigned short) ((float) (1.0 - saturate) *
+                                              ((float) max - colours[i].r));
+               colours[i].g += (unsigned short) ((float) (1.0 - saturate) *
+                                              ((float) max - colours[i].g));
+               colours[i].b += (unsigned short) ((float) (1.0 - saturate) *
+                                              ((float) max - colours[i].b));
+       }
+}
+#endif /* !STANDALONE */
+
+/****************************************************************/
+
+#ifndef STANDALONE
+/* 
+ * set_black_and_white
+ *
+ * Set the entries for foreground & background pixels and
+ * WhitePixel & BlackPixel in an array of colour specifications.
+ *
+ * -      swirl is the swirl data
+ * -      values is the array of specifications 
+ */
+static void
+set_black_and_white(SWIRL_P swirl, XColor * values)
+{
+       unsigned long white, black;
+
+       /* where is black and white? */
+       white = swirl->white;
+       black = swirl->black;
+
+       /* set black and white up */
+       values[white].flags = DoRed | DoGreen | DoBlue;
+       values[white].pixel = white;
+       values[white].red = 0xFFFF;
+       values[white].green = 0xFFFF;
+       values[white].blue = 0xFFFF;
+       values[black].flags = DoRed | DoGreen | DoBlue;
+       values[black].pixel = black;
+       values[black].red = 0;
+       values[black].green = 0;
+       values[black].blue = 0;
+
+       /* copy the colour specs from the original entries */
+       values[swirl->fg] = swirl->fgcol;
+       values[swirl->bg] = swirl->bgcol;
+}
+
+/****************************************************************/
+
+/* 
+ * set_colour
+ *
+ * Set an entry in an array of XColor specifications. The given entry will be
+ * set to the given colour. If the entry corresponds to the foreground,
+ * background, WhitePixel, or BlackPixel it is ignored and the given colour
+ * is is put in the next entry.
+ *
+ * Therefore, the given colour may be placed up to four places after the
+ * specified entry in the array, if foreground, background, white, or black
+ * intervene.
+ *
+ * -      swirl is the swirl data
+ * -      value points to a pointer to the array entry. It gets updated to
+ *            point to the next free entry.
+ * -      pixel points to the current pixel number. It gets updated.
+ * -      c points to the colour to add
+ */
+static void
+set_colour(SWIRL_P swirl, XColor ** value, unsigned long *pixel, COLOUR_P c)
+{
+       Bool        done;
+       unsigned long fg, bg, white, black;
+
+       /* where are foreground, background, white, and black? */
+       fg = swirl->fg;
+       bg = swirl->bg;
+       white = swirl->white;
+       black = swirl->black;
+
+       /* haven't set it yet */
+       done = False;
+
+       /* try and set the colour */
+       while (!done) {
+               (**value).flags = DoRed | DoGreen | DoBlue;
+               (**value).pixel = *pixel;
+
+               /* white, black, fg, bg, or a colour? */
+               if ((*pixel != fg) && (*pixel != bg) &&
+                   (*pixel != white) && (*pixel != black)) {
+                       (**value).red = c->r;
+                       (**value).green = c->g;
+                       (**value).blue = c->b;
+
+                       /* now we've done it */
+                       done = True;
+               }
+               /* next pixel */
+               (*value)++;
+               (*pixel)++;
+       }
+}
+
+/****************************************************************/
+
+/* 
+ * get_colour
+ *
+ * Get an entry from an array of XColor specifications. The next colour from
+ * the array will be returned. Foreground, background, WhitePixel, or
+ * BlackPixel will be ignored.
+ *
+ * -      swirl is the swirl data
+ * -      value points the array entry. It is updated to point to the entry
+ *            following the one returned.
+ * -      c is set to the colour found
+ */
+static void
+get_colour(SWIRL_P swirl, XColor ** value, COLOUR_P c)
+{
+       Bool        done;
+       unsigned long fg, bg, white, black;
+
+       /* where is white and black? */
+       fg = swirl->fg;
+       bg = swirl->bg;
+       white = swirl->white;
+       black = swirl->black;
+
+       /* haven't set it yet */
+       done = False;
+
+       /* try and set the colour */
+       while (!done) {
+               /* black, white or a colour? */
+               if (((*value)->pixel != fg) && ((*value)->pixel != bg) &&
+                 ((*value)->pixel != white) && ((*value)->pixel != black)) {
+                       c->r = (*value)->red;
+                       c->g = (*value)->green;
+                       c->b = (*value)->blue;
+
+                       /* now we've done it */
+                       done = True;
+               }
+               /* next value */
+               (*value)++;
+       }
+}
+#endif /* !STANDALONE */
+
+/****************************************************************/
+
+#ifndef STANDALONE
+/* 
+ *  interpolate
+ *
+ * Generate n colours between c1 and c2.  n XColors at *value are set up with
+ * ascending pixel values.
+ *
+ * If the pixel range includes BlackPixel or WhitePixel they are set to black
+ * and white respectively but otherwise ignored. Therefore, up to n+2 colours
+ * may actually be set by this function.
+ *
+ * -      swirl is the swirl data
+ * -      values points a pointer to an array of XColors to update
+ * -      pixel points to the pixel number to start at
+ * -      k n is the number of colours to generate
+ * -      c1, c2 are the colours to interpolate between
+ */
+static void
+interpolate(SWIRL_P swirl, XColor ** values, unsigned long *pixel, int n, COLOUR_P c1, COLOUR_P c2)
+{
+       int         i, r, g, b;
+       COLOUR      c;
+       unsigned short maxv;
+
+       /* maximum value */
+       maxv = (255 << 8);
+
+       for (i = 0; i < n / 2 && (int) *pixel < swirl->colours; i++) {
+               /* work out the colour */
+               r = c1->r + 2 * i * ((int) c2->r) / n;
+               c.r = (r > (int) maxv) ? maxv : r;
+               g = c1->g + 2 * i * ((int) c2->g) / n;
+               c.g = (g > (int) maxv) ? maxv : g;
+               b = c1->b + 2 * i * ((int) c2->b) / n;
+               c.b = (b > (int) maxv) ? maxv : b;
+
+               /* set it up */
+               set_colour(swirl, values, pixel, &c);
+       }
+       for (i = n / 2; i >= 0 && (int) *pixel < swirl->colours; i--) {
+               r = c2->r + 2 * i * ((int) c1->r) / n;
+               c.r = (r > (int) maxv) ? maxv : r;
+               g = c2->g + 2 * i * ((int) c1->g) / n;
+               c.g = (g > (int) maxv) ? maxv : g;
+               b = c2->b + 2 * i * ((int) c1->b) / n;
+               c.b = (b > (int) maxv) ? maxv : b;
+
+               /* set it up */
+               set_colour(swirl, values, pixel, &c);
+       }
+}
+
+/****************************************************************/
+
+/* 
+ * basic_map
+ *
+ * Generate a `random' closed loop colourmap that occupies the whole colour
+ * map.
+ *
+ * -      swirl is the swirl data
+ * -      values is the array of colour definitions to set up
+ */
+static void
+basic_map(SWIRL_P swirl, XColor * values)
+{
+       COLOUR      c[3];
+       int         i;
+       unsigned short r1, g1, b1, r2, g2, b2, r3, g3, b3;
+       int         L1, L2, L3, L;
+       unsigned long pixel;
+       XColor     *value;
+
+       /* start at the beginning of the colour map */
+       pixel = 0;
+       value = values;
+
+       /* choose 3 different basic colours at random */
+       for (i = 0; i < 3;) {
+               int         j;
+               Bool        same;
+
+               /* choose colour i */
+               c[i] = basic_colours[random_no(SWIRLCOLOURS - 1)];
+
+               /* assume different */
+               same = False;
+
+               /* different from the rest? */
+               for (j = 0; j < i; j++)
+                       if ((c[i].r == c[j].r) &&
+                           (c[i].g == c[j].g) &&
+                           (c[i].b == c[j].b))
+                               same = True;
+
+               /* ready for the next colour? */
+               if (!same)
+                       i++;
+       }
+
+       /* extract components into variables */
+       r1 = c[0].r;
+       g1 = c[0].g;
+       b1 = c[0].b;
+       r2 = c[1].r;
+       g2 = c[1].g;
+       b2 = c[1].b;
+       r3 = c[2].r;
+       g3 = c[2].g;
+       b3 = c[2].b;
+
+       /* work out the lengths of each side of the triangle */
+       L1 = (int) sqrt((((double) r1 - r2) * ((double) r1 - r2) +
+                        ((double) g1 - g2) * ((double) g1 - g2) +
+                        ((double) b1 - b2) * ((double) b1 - b2)));
+
+       L2 = (int) sqrt((((double) r3 - r2) * ((double) r3 - r2) +
+                        ((double) g3 - g2) * ((double) g3 - g2) +
+                        ((double) b3 - b2) * ((double) b3 - b2)));
+
+       L3 = (int) sqrt((((double) r1 - r3) * ((double) r1 - r3) +
+                        ((double) g1 - g3) * ((double) g1 - g3) +
+                        ((double) b1 - b3) * ((double) b1 - b3)));
+
+       L = L1 + L2 + L3;
+
+       /* allocate colours in proportion to the lengths of the sides */
+       interpolate(swirl, &value, &pixel,
+                   (int) ((double) swirl->dcolours * ((double) L1 / (double) L)) + 1, c, c + 1);
+       interpolate(swirl, &value, &pixel,
+                   (int) ((double) swirl->dcolours * ((double) L2 / (double) L)) + 1, c + 1, c + 2);
+       interpolate(swirl, &value, &pixel,
+                   (int) ((double) swirl->dcolours * ((double) L3 / (double) L)) + 1, c + 2, c);
+
+       /* fill up any remaining slots (due to rounding) */
+       while ((int) pixel < swirl->colours) {
+               /* repeat the last colour */
+               set_colour(swirl, &value, &pixel, c);
+       }
+
+       /* ensure black and white are correct */
+       if (!swirl->fixed_colourmap)
+               set_black_and_white(swirl, values);
+}
+
+/****************************************************************/
+
+/* 
+ * pre_rotate
+ *
+ * Generate pre-rotated versions of the colour specifications
+ *
+ * -      swirl is the swirl data
+ * -      values is an array of colour specifications
+ */
+static void
+pre_rotate(SWIRL_P swirl, XColor * values)
+{
+       int         i, j;
+       XColor     *src, *dest;
+       int         dcolours;
+       unsigned long pixel;
+
+       /* how many colours to display? */
+       dcolours = swirl->dcolours;
+
+       /* start at the first map */
+       src = values;
+       dest = values + swirl->colours;
+
+       /* generate dcolours-1 rotated maps */
+       for (i = 0; i < dcolours - 1; i++) {
+               COLOUR      first;
+
+               /* start at the first pixel */
+               pixel = 0;
+
+               /* remember the first one and skip it */
+               get_colour(swirl, &src, &first);
+
+               /* put a rotated version of src at dest */
+               for (j = 0; j < dcolours - 1; j++) {
+                       COLOUR      c;
+
+                       /* get the source colour */
+                       get_colour(swirl, &src, &c);
+
+                       /* set the colour */
+                       set_colour(swirl, &dest, &pixel, &c);
+               }
+
+               /* put the first one at the end */
+               set_colour(swirl, &dest, &pixel, &first);
+
+               /* NB: src and dest should now be ready for the next table */
+
+               /* ensure black and white are properly set */
+               set_black_and_white(swirl, src);
+       }
+}
+
+/****************************************************************/
+
+/* 
+ * create_colourmap
+ *
+ * Create a read/write colourmap to use
+ *
+ * -      swirl is the swirl data
+ */
+
+static void
+create_colourmap(ModeInfo * mi, SWIRL_P swirl)
+{
+       Display    *display = MI_DISPLAY(mi);
+       int         preserve;
+       int         n_rotations;
+       int         i;
+       Bool        truecolor;
+  unsigned long redmask, greenmask, bluemask;
+
+       swirl->fixed_colourmap = !setupColormap(mi, &(swirl->colours),
+    &truecolor, &redmask, &greenmask, &bluemask);
+       preserve = preserveColors(swirl->fg, swirl->bg, swirl->white, swirl->black);
+
+       /* how many colours should we animate? */
+       swirl->dcolours = (swirl->colours > preserve + 1) ?
+               swirl->colours - preserve : swirl->colours;
+
+       if (MI_NPIXELS(mi) < 2)
+               return;
+
+       /* how fast to shift the colourmap? */
+       swirl->shift = (swirl->colours > 64) ? swirl->colours / 64 : 1;
+       swirl->dshift = (swirl->shift > 1) ? swirl->shift * 2 : 1;
+
+       /* how may colour map rotations are there? */
+       n_rotations = (swirl->fixed_colourmap) ? 1 : swirl->dcolours;
+
+       /* allocate space for colour definitions (if not already there) */
+       if (swirl->rgb_values == NULL) {
+               swirl->rgb_values = (XColor *) calloc((swirl->colours + 3) * n_rotations,
+                                                     sizeof (XColor));
+
+               /* create a colour map */
+               if (!swirl->fixed_colourmap)
+                       swirl->cmap =
+                               XCreateColormap(display, swirl->win, swirl->visual, AllocAll);
+       }
+       /* select a set of colours for the colour map */
+       basic_map(swirl, swirl->rgb_values);
+
+       /* are we rotating them? */
+       if (!swirl->fixed_colourmap) {
+               /* generate rotations of the colour maps */
+               pre_rotate(swirl, swirl->rgb_values);
+
+               /* store the colours in the colour map */
+               XStoreColors(display, swirl->cmap, swirl->rgb_values, swirl->colours);
+       } else {
+               if (truecolor) {
+                       int         rsh, gsh, bsh;
+                       unsigned long int t;
+
+                       t = redmask;
+                       for (i = 0; (int) t > 0; i++, t >>= 1);
+                       rsh = 16 - i;
+                       t = greenmask;
+                       for (i = 0; (int) t > 0; i++, t >>= 1);
+                       gsh = 16 - i;
+                       t = bluemask;
+                       for (i = 0; (int) t > 0; i++, t >>= 1);
+                       bsh = 16 - i;
+                       for (i = 0; i < swirl->colours; i++)
+                               swirl->rgb_values[i].pixel =
+                                       ((rsh > 0 ? (swirl->rgb_values[i].red) >> rsh :
+                                         (swirl->rgb_values[i].red) << (-rsh)) & redmask) |
+                                       ((gsh > 0 ? (swirl->rgb_values[i].green) >> gsh :
+                                         (swirl->rgb_values[i].green) << (-gsh)) & greenmask) |
+                                       ((bsh > 0 ? (swirl->rgb_values[i].blue) >> bsh :
+                                         (swirl->rgb_values[i].blue) << (-bsh)) & bluemask);
+               } else {
+                       /* lookup the colours in the fixed colour map */
+                       for (i = 0; i < swirl->colours; i++)
+                               (void) XAllocColor(display, MI_COLORMAP(mi),
+                                                  &(swirl->rgb_values[i]));
+               }
+       }
+}
+
+/****************************************************************/
+
+/* 
+ * install_map
+ *
+ * Install a new set of colours into the colour map
+ *
+ * -      dpy is the display
+ * -      swirl is the swirl data
+ * -      shift is the amount to rotate the colour map by
+ */
+static void
+install_map(Display * dpy, SWIRL_P swirl, int shift)
+{
+       if (!swirl->fixed_colourmap) {
+               /* shift the colour map */
+               swirl->current_map = (swirl->current_map + shift) %
+                       swirl->dcolours;
+
+               /* store it */
+               XStoreColors(dpy, swirl->cmap,
+                            swirl->rgb_values +
+                            swirl->current_map * swirl->colours,
+                            swirl->colours);
+       }
+}
+#endif /* !STANDALONE */
+
+/****************************************************************/
+
+/* 
+ * create_knots
+ *
+ * Initialise the array of knot
+ *
+ * swirl is the swirl data
+ */
+static void
+create_knots(SWIRL_P swirl)
+{
+       int         k;
+       Bool        orbit, wheel, picasso, ray, hook;
+       KNOT_P      knot;
+
+       /* create array for knots */
+       if (swirl->knots)
+               (void) free((void *) swirl->knots);
+       swirl->knots = (KNOT_P) calloc(swirl->n_knots, sizeof (KNOT));
+
+       /* no knots yet */
+       orbit = wheel = picasso = ray = hook = False;
+
+       /* what types do we have? */
+       if ((int) swirl->knot_type & (int) ALL) {
+               orbit = wheel = ray = hook = True;
+       } else {
+               if ((int) swirl->knot_type & (int) ORBIT)
+                       orbit = True;
+               if ((int) swirl->knot_type & (int) WHEEL)
+                       wheel = True;
+               if ((int) swirl->knot_type & (int) PICASSO)
+                       picasso = True;
+               if ((int) swirl->knot_type & (int) RAY)
+                       ray = True;
+               if ((int) swirl->knot_type & (int) HOOK)
+                       hook = True;
+       }
+
+       /* initialise each knot */
+       knot = swirl->knots;
+       for (k = 0; k < swirl->n_knots; k++) {
+               /* position */
+               knot->x = random_no((unsigned int) swirl->width);
+               knot->y = random_no((unsigned int) swirl->height);
+
+               /* mass */
+               knot->m = random_no(MASS) + 1;
+
+               /* can be negative */
+               if (random_no(100) > 50)
+                       knot->m *= -1;
+
+               /* type */
+               knot->t = NONE;
+               while (knot->t == NONE) {
+                       /* choose a random one from the types available */
+                       switch (random_no(4)) {
+                               case 0:
+                                       if (orbit)
+                                               knot->t = ORBIT;
+                                       break;
+                               case 1:
+                                       if (wheel)
+                                               knot->t = WHEEL;
+                                       break;
+                               case 2:
+                                       if (picasso)
+                                               knot->t = PICASSO;
+                                       break;
+                               case 3:
+                                       if (ray)
+                                               knot->t = RAY;
+                                       break;
+                               case 4:
+                                       if (hook)
+                                               knot->t = HOOK;
+                                       break;
+                       }
+               }
+
+               /* if two planes, do same for second plane */
+               if (swirl->two_plane) {
+                       knot->T = NONE;
+                       while (knot->T == NONE || knot->T == knot->t) {
+                               /* choose a different type */
+                               switch (random_no(4)) {
+                                       case 0:
+                                               if (orbit)
+                                                       knot->T = ORBIT;
+                                               break;
+                                       case 1:
+                                               if (wheel)
+                                                       knot->T = WHEEL;
+                                               break;
+                                       case 2:
+                                               if (picasso)
+                                                       knot->T = PICASSO;
+                                               break;
+                                       case 3:
+                                               if (ray)
+                                                       knot->T = RAY;
+                                               break;
+                                       case 4:
+                                               if (hook)
+                                                       knot->T = HOOK;
+                                               break;
+                               }
+                       }
+               }
+               /* next knot */
+               knot++;
+       }
+}
+
+/****************************************************************/
+
+/* 
+ * do_point
+ *
+ * Work out the pixel value at i, j. Ensure it does not clash with BlackPixel
+ * or WhitePixel.
+ *
+ * -      swirl is the swirl data
+ * -      i, j is the point to calculate
+ *
+ * Returns the value of the point
+ */
+static unsigned long
+do_point(SWIRL_P swirl, int i, int j)
+{
+       int         tT, k, value, add;
+       double      dx, dy, theta, dist;
+       int         dcolours, qcolours;
+       double      rads;
+       KNOT_P      knot;
+
+       /* how many colours? */
+       dcolours = swirl->dcolours;
+       qcolours = dcolours / 4;
+
+       /* colour step round a circle */
+       rads = (double) dcolours / (2.0 * M_PI);
+
+       /* start at zero */
+       value = 0;
+
+       /* go through all the knots */
+       knot = swirl->knots;
+       for (k = 0; k < swirl->n_knots; k++) {
+               dx = i - knot->x;
+               dy = j - knot->y;
+
+               /* in two_plane mode get the appropriate knot type */
+               if (swirl->two_plane)
+                       tT = (int) ((swirl->first_plane) ? knot->t : knot->T);
+               else
+                       tT = (int) knot->t;
+
+               /* distance from knot */
+               dist = sqrt(dx * dx + dy * dy);
+
+               /* nothing to add at first */
+               add = 0;
+
+               /* work out the contribution (if close enough) */
+               if (dist > 0.1)
+                       switch (tT) {
+                               case ORBIT:
+                                       add = (int) (dcolours / (1.0 + 0.01 * abs(knot->m) * dist));
+                                       break;
+                               case WHEEL:
+                                       /* Avoid atan2: DOMAIN error message */
+                                       if (dy == 0.0 && dx == 0.0)
+                                               theta = 1.0;
+                                       else
+                                               theta = (atan2(dy, dx) + M_PI) / M_PI;
+                                       if (theta < 1.0)
+                                               add = (int) (dcolours * theta +
+                                                 sin(0.1 * knot->m * dist) *
+                                               qcolours * exp(-0.01 * dist));
+                                       else
+                                               add = (int) (dcolours * (theta - 1.0) +
+                                                 sin(0.1 * knot->m * dist) *
+                                               qcolours * exp(-0.01 * dist));
+                                       break;
+                               case PICASSO:
+                                       add = (int) (dcolours *
+                                         fabs(cos(0.002 * knot->m * dist)));
+                                       break;
+                               case RAY:
+                                       /* Avoid atan2: DOMAIN error message */
+                                       if (dy == 0.0 && dx == 0.0)
+                                               add = 0;
+                                       else
+                                               add = (int) (dcolours * fabs(sin(2.0 * atan2(dy, dx))));
+
+                                       break;
+                               case HOOK:
+                                       /* Avoid atan2: DOMAIN error message */
+                                       if (dy == 0.0 && dx == 0.0)
+                                               add = (int) (0.05 * (abs(knot->m) - 1) * dist);
+                                       else
+                                               add = (int) (rads * atan2(dy, dx) +
+                                                            0.05 * (abs(knot->m) - 1) * dist);
+                                       break;
+                       }
+               /* for a +ve mass add on the contribution else take it off */
+               if (knot->m > 0)
+                       value += add;
+               else
+                       value -= add;
+
+               /* next knot */
+               knot++;
+       }
+
+       /* toggle plane */
+       swirl->first_plane = (!swirl->first_plane);
+
+       /* make sure we handle -ve values properly */
+       if (value >= 0)
+               value = (value % dcolours) + 2;
+       else
+               value = dcolours - (abs(value) % (dcolours - 1));
+
+#ifndef STANDALONE
+       /* if fg and bg are 1 and 0 we should be OK, but just in case */
+       while ((dcolours > 2) &&
+              (((value % swirl->colours) == (int) swirl->fg) ||
+               ((value % swirl->colours) == (int) swirl->bg) ||
+               ((value % swirl->colours) == (int) swirl->white) ||
+               ((value % swirl->colours) == (int) swirl->black))) {
+               value++;
+       }
+#endif /* !STANDALONE */
+
+       /* definitely make sure it is in range */
+       value = value % swirl->colours;
+
+       /* lookup the pixel value if necessary */
+#ifndef STANDALONE
+       if (swirl->fixed_colourmap && swirl->dcolours > 2)
+#endif
+               value = swirl->rgb_values[value].pixel;
+
+       /* return it */
+       return ((unsigned long) value);
+}
+
+/****************************************************************/
+
+/* 
+ * draw_block
+ *
+ * Draw a square block of points with the same value.
+ *
+ * -      ximage is the XImage to draw on.
+ * -      x, y is the top left corner
+ * -      s is the length of each side
+ * -      v is the value
+ */
+static void
+draw_block(XImage * ximage, int x, int y, int s, unsigned long v)
+{
+       int         a, b;
+
+       for (a = 0; a < s; a++)
+               for (b = 0; b < s; b++) {
+                       XPutPixel(ximage, x + b, y + a, v);
+               }
+}
+
+/****************************************************************/
+
+/* 
+ * draw_point  Draw the current point in a swirl pattern onto the XImage
+ *
+ * -    swirl is the swirl
+ * -    win is the window to update
+ */
+static void
+draw_point(ModeInfo * mi, SWIRL_P swirl)
+{
+       int         r;
+       int         x, y;
+
+       /* get current point coordinates and resolution */
+       x = swirl->x;
+       y = swirl->y;
+       r = swirl->r;
+
+       /* check we are within the window */
+       if ((x < 0) || (x > swirl->width - r) || (y < 0) || (y > swirl->height - r))
+               return;
+
+       /* what style are we drawing? */
+       if (swirl->two_plane) {
+               int         r2;
+
+               /* halve the block size */
+               r2 = r / 2;
+
+               /* interleave blocks at half r */
+               draw_block(swirl->ximage, x, y, r2, do_point(swirl, x, y));
+               draw_block(swirl->ximage, x + r2, y, r2, do_point(swirl, x + r2, y));
+               draw_block(swirl->ximage, x + r2, y + r2, r2, do_point(swirl,
+                       x + r2, y + r2));
+               draw_block(swirl->ximage, x, y + r2, r2, do_point(swirl, x, y + r2));
+       } else
+               draw_block(swirl->ximage, x, y, r, do_point(swirl, x, y));
+
+       /* update the screen */
+/* PURIFY 4.0.1 on SunOS4 and on Solaris 2 reports a 256 byte memory leak on * 
+   the next line. */
+       XPutImage(MI_DISPLAY(mi), MI_WINDOW(mi), MI_GC(mi), swirl->ximage,
+                 x, y, x, y, r, r);
+}
+
+/****************************************************************/
+
+/* 
+ * next_point  Move to the next point in the spiral pattern
+ *  -    swirl is the swirl
+ *  -    win is the window to update
+ */
+static void
+next_point(SWIRL_P swirl)
+{
+       /* more to do in this direction? */
+       if (swirl->dir_done < swirl->dir_todo) {
+               /* move in the current direction */
+               switch (swirl->direction) {
+                       case DRAW_RIGHT:
+                               swirl->x += swirl->r;
+                               break;
+                       case DRAW_DOWN:
+                               swirl->y += swirl->r;
+                               break;
+                       case DRAW_LEFT:
+                               swirl->x -= swirl->r;
+                               break;
+                       case DRAW_UP:
+                               swirl->y -= swirl->r;
+                               break;
+               }
+
+               /* done another point */
+               swirl->dir_done++;
+       } else {
+               /* none drawn yet */
+               swirl->dir_done = 0;
+
+               /* change direction - check and record if off screen */
+               switch (swirl->direction) {
+                       case DRAW_RIGHT:
+                               swirl->direction = DRAW_DOWN;
+                               if (swirl->x > swirl->width - swirl->r) {
+                                       /* skip these points */
+                                       swirl->dir_done = swirl->dir_todo;
+                                       swirl->y += (swirl->dir_todo * swirl->r);
+
+                                       /* check for finish */
+                                       if (swirl->off_screen)
+                                               swirl->drawing = False;
+                                       swirl->off_screen = True;
+                               } else
+                                       swirl->off_screen = False;
+                               break;
+                       case DRAW_DOWN:
+                               swirl->direction = DRAW_LEFT;
+                               swirl->dir_todo++;
+                               if (swirl->y > swirl->height - swirl->r) {
+                                       /* skip these points */
+                                       swirl->dir_done = swirl->dir_todo;
+                                       swirl->x -= (swirl->dir_todo * swirl->r);
+
+                                       /* check for finish */
+                                       if (swirl->off_screen)
+                                               swirl->drawing = False;
+                                       swirl->off_screen = True;
+                               } else
+                                       swirl->off_screen = False;
+                               break;
+                       case DRAW_LEFT:
+                               swirl->direction = DRAW_UP;
+                               if (swirl->x < 0) {
+                                       /* skip these points */
+                                       swirl->dir_done = swirl->dir_todo;
+                                       swirl->y -= (swirl->dir_todo * swirl->r);
+
+                                       /* check for finish */
+                                       if (swirl->off_screen)
+                                               swirl->drawing = False;
+                                       swirl->off_screen = True;
+                               } else
+                                       swirl->off_screen = False;
+                               break;
+                       case DRAW_UP:
+                               swirl->direction = DRAW_RIGHT;
+                               swirl->dir_todo++;
+                               if (swirl->y < 0) {
+                                       /* skip these points */
+                                       swirl->dir_done = swirl->dir_todo;
+                                       swirl->x += (swirl->dir_todo * swirl->r);
+
+                                       /* check for finish */
+                                       if (swirl->off_screen)
+                                               swirl->drawing = False;
+                                       swirl->off_screen = True;
+                               } else
+                                       swirl->off_screen = False;
+                               break;
+               }
+       }
+}
+
+/****************************************************************/
+
+/* 
+ * init_swirl
+ *
+ * Initialise things for swirling
+ *
+ * -      win is the window to draw in
+ */
+void
+init_swirl(ModeInfo * mi)
+{
+       Display    *display = MI_DISPLAY(mi);
+       Window      window = MI_WINDOW(mi);
+       SWIRL_P     swirl;
+
+       /* does the swirls array exist? */
+       if (swirls == NULL) {
+               int         i;
+
+               /* allocate an array, one entry for each screen */
+               swirls = (SWIRL_P) calloc(ScreenCount(display), sizeof (SWIRL));
+
+               /* initialise them all */
+               for (i = 0; i < ScreenCount(display); i++)
+                       initialise_swirl(mi, &swirls[i]);
+       }
+       /* get a pointer to this swirl */
+       swirl = &(swirls[MI_SCREEN(mi)]);
+
+       /* get window parameters */
+       swirl->win = window;
+       swirl->width = MI_WIN_WIDTH(mi);
+       swirl->height = MI_WIN_HEIGHT(mi);
+       swirl->depth = MI_WIN_DEPTH(mi);
+       swirl->rdepth = swirl->depth;
+       swirl->visual = MI_VISUAL(mi);
+
+       if (swirl->depth > 16)
+               swirl->depth = 16;
+
+       /* initialise image for speeding up drawing */
+       initialise_image(display, swirl);
+
+       /* clear the window (before setting the colourmap) */
+       XClearWindow(display, MI_WINDOW(mi));
+
+#ifdef STANDALONE
+
+       swirl->rgb_values = mi->colors;
+       swirl->colours = mi->npixels;
+       swirl->dcolours = swirl->colours;
+/*     swirl->fixed_colourmap = !mi->writable_p;*/
+
+#else /* !STANDALONE */
+
+       /* initialise the colours from which the colourmap is derived */
+       initialise_colours(basic_colours, MI_SATURATION(mi));
+
+       /* set up the colour map */
+       create_colourmap(mi, swirl);
+
+       /* attach the colour map to the window (if we have one) */
+       if (!swirl->fixed_colourmap) {
+#if 1
+               setColormap(display, window, swirl->cmap, MI_WIN_IS_INWINDOW(mi));
+#else
+               XSetWindowColormap(display, window, swirl->cmap);
+               (void) XSetWMColormapWindows(display, window, &window, 1);
+               XInstallColormap(display, swirl->cmap);
+#endif
+       }
+#endif /* STANDALONE */
+
+       /* resolution starts off chunky */
+       swirl->resolution = MIN_RES + 1;
+
+       /* calculate the pixel step for this resulution */
+       swirl->r = (1 << (swirl->resolution - 1));
+
+       /* how many knots? */
+       swirl->n_knots = random_no((unsigned int) MI_BATCHCOUNT(mi) / 2) +
+               MI_BATCHCOUNT(mi) + 1;
+
+       /* what type of knots? */
+       swirl->knot_type = ALL; /* for now */
+
+       /* use two_plane mode occaisionally */
+       if (random_no(100) <= TWO_PLANE_PCNT) {
+               swirl->two_plane = swirl->first_plane = True;
+               swirl->max_resolution = 2;
+       } else
+               swirl->two_plane = False;
+
+       /* fix the knot values */
+       create_knots(swirl);
+
+       /* we are off */
+       swirl->started = True;
+       swirl->drawing = False;
+}
+
+/****************************************************************/
+
+/* 
+ * draw_swirl
+ *
+ * Draw one iteration of swirling
+ *
+ * -      win is the window to draw in
+ */
+void
+draw_swirl(ModeInfo * mi)
+{
+       SWIRL_P     swirl = &(swirls[MI_SCREEN(mi)]);
+
+       /* are we going? */
+       if (swirl->started) {
+               /* in the middle of drawing? */
+               if (swirl->drawing) {
+#ifdef STANDALONE
+                 if (mi->writable_p)
+                       rotate_colors(MI_DISPLAY(mi), MI_COLORMAP(mi),
+                                                 swirl->rgb_values, swirl->colours, 1);
+#else  /* !STANDALONE */
+                       /* rotate the colours */
+                       install_map(MI_DISPLAY(mi), swirl, swirl->dshift);
+#endif /* !STANDALONE */
+
+                       /* draw a batch of points */
+                       swirl->batch_todo = BATCH_DRAW;
+                       while ((swirl->batch_todo > 0) && swirl->drawing) {
+                               /* draw a point */
+                               draw_point(mi, swirl);
+
+                               /* move to the next point */
+                               next_point(swirl);
+
+                               /* done a point */
+                               swirl->batch_todo--;
+                       }
+               } else {
+#ifdef STANDALONE
+                 if (mi->writable_p)
+                       rotate_colors(MI_DISPLAY(mi), MI_COLORMAP(mi),
+                                                 swirl->rgb_values, swirl->colours, 1);
+#else  /* !STANDALONE */
+                       /* rotate the colours */
+                       install_map(MI_DISPLAY(mi), swirl, swirl->shift);
+#endif /* !STANDALONE */
+
+                       /* time for a higher resolution? */
+                       if (swirl->resolution > swirl->max_resolution) {
+                               /* move to higher resolution */
+                               swirl->resolution--;
+
+                               /* calculate the pixel step for this resulution */
+                               swirl->r = (1 << (swirl->resolution - 1));
+
+                               /* start drawing again */
+                               swirl->drawing = True;
+
+                               /* start in the middle of the screen */
+                               swirl->x = (swirl->width - swirl->r) / 2;
+                               swirl->y = (swirl->height - swirl->r) / 2;
+
+                               /* initialise spiral drawing parameters */
+                               swirl->direction = DRAW_RIGHT;
+                               swirl->dir_todo = 1;
+                               swirl->dir_done = 0;
+                       } else {
+                               /* all done, decide when to restart */
+                               if (swirl->start_again == -1) {
+                                       /* start the counter */
+                                       swirl->start_again = RESTART;
+                               } else if (swirl->start_again == 0) {
+                                       /* reset the counter */
+                                       swirl->start_again = -1;
+
+#ifdef STANDALONE
+                                       /* Pick a new colormap! */
+                                       XClearWindow (MI_DISPLAY(mi), MI_WINDOW(mi));
+                                       free_colors (MI_DISPLAY(mi), MI_COLORMAP(mi),
+                                                                mi->colors, mi->npixels);
+                                       make_smooth_colormap (MI_DISPLAY(mi),
+                                                                                 MI_VISUAL(mi),
+                                                                                 MI_COLORMAP(mi),
+                                                                                 mi->colors, &mi->npixels, True,
+                                                                                 &mi->writable_p, True);
+                                       swirl->colours = mi->npixels;
+#endif /* STANDALONE */
+
+                                       /* start again */
+                                       init_swirl(mi);
+                               } else
+                                       /* decrement the counter */
+                                       swirl->start_again--;
+                       }
+               }
+       }
+}
+
+/****************************************************************/
+
+void
+release_swirl(ModeInfo * mi)
+{
+       /* does the swirls array exist? */
+       if (swirls != NULL) {
+               int         i;
+
+               /* free them all */
+               for (i = 0; i < MI_NUM_SCREENS(mi); i++) {
+                       SWIRL_P     swirl = &(swirls[i]);
+
+                       if (swirl->cmap != (Colormap) NULL)
+                               XFreeColormap(MI_DISPLAY(mi), swirl->cmap);
+                       if (swirl->rgb_values != NULL)
+                               XFree((void *) swirl->rgb_values);
+                       if (swirl->ximage != NULL)
+                               XDestroyImage(swirl->ximage);
+                       if (swirl->knots)
+                               (void) free((void *) swirl->knots);
+               }
+               /* deallocate an array, one entry for each screen */
+               (void) free((void *) swirls);
+               swirls = NULL;
+       }
+}
+
+/****************************************************************/
+
+void
+refresh_swirl(ModeInfo * mi)
+{
+       SWIRL_P     swirl = &(swirls[MI_SCREEN(mi)]);
+
+       if (swirl->started) {
+               if (swirl->drawing)
+                       swirl->resolution = swirl->resolution + 1;
+               swirl->drawing = False;
+       }
+}