http://ftp.x.org/contrib/applications/xscreensaver-3.26.tar.gz
[xscreensaver] / hacks / galaxy.c
index ed44d8c2a3cfa213ec20e783a94aeb0adcac0705..08d870bb6e2a3b312dc748041ecab880465aa73e 100644 (file)
@@ -1,8 +1,8 @@
 /* -*- Mode: C; tab-width: 4 -*- */
 /* galaxy --- spinning galaxies */
-
+/* #include<math.h>*/
 #if !defined( lint ) && !defined( SABER )
-static const char sccsid[] = "@(#)galaxy.c     4.04 97/07/28 xlockmore";
+static const char sccsid[] = "@(#)galaxy.c 4.04 97/07/28 xlockmore";
 #endif
 
 /* Originally done by Uli Siegmund <uli@wombat.okapi.sub.org> on Amiga
@@ -24,53 +24,55 @@ static const char sccsid[] = "@(#)galaxy.c  4.04 97/07/28 xlockmore";
  * other special, indirect and consequential damages.
  *
  * Revision History:
+ * 26-Aug-00: robert.nagtegaal@phil.uu.nl and roland@tschai.demon.nl:
+ *            various improvements
  * 10-May-97: jwz@jwz.org: turned into a standalone program.
  * 18-Apr-97: Memory leak fixed by Tom Schmidt <tschmidt@micron.com>
  * 07-Apr-97: Modified by Dave Mitchell <davem@magnet.com>
- *            random star sizes
- *            colors change depending on velocity
- * 23-Oct-94: Modified by David Bagley <bagleyd@tux.org>
+ * 23-Oct-94: Modified by David Bagley <bagleyd@bigfoot.com>
+ *  random star sizes
+ *  colors change depending on velocity
  * 10-Oct-94: Add colors by Hubert Feyer
  * 30-Sep-94: Initial port by Hubert Feyer
  * 09-Mar-94: VMS can generate a random number 0.0 which results in a
  *            division by zero, corrected by Jouk Jansen
- *            <joukj@hrem.stm.tudelft.nl>
+ *            <joukj@crys.chem.uva.nl>
  */
 
 #ifdef STANDALONE
-# define PROGCLASS                                     "Galaxy"
-# define HACK_INIT                                     init_galaxy
-# define HACK_DRAW                                     draw_galaxy
-# define galaxy_opts                           xlockmore_opts
-# define DEFAULTS      "*delay:                100  \n"                        \
-                                       "*count:                -5   \n"                        \
-                                       "*cycles:               250  \n"                        \
-                                       "*size:                 -3   \n"                        \
-                                       "*ncolors:              64   \n"
+# define PROGCLASS     "Galaxy"
+# define HACK_INIT     init_galaxy
+# define HACK_DRAW     draw_galaxy
+# define galaxy_opts    xlockmore_opts
+# define DEFAULTS "*delay:  100  \n"   \
+     "*count:  -5   \n"   \
+     "*cycles:  250  \n"   \
+     "*size:   -3   \n"   \
+     "*ncolors:  64  \n"
 # define UNIFORM_COLORS
-# include "xlockmore.h"                                /* from the xscreensaver distribution */
+# include "xlockmore.h"    /* from the xscreensaver distribution */
 #else  /* !STANDALONE */
-# include "xlock.h"                                    /* from the xlockmore distribution */
+# include "xlock.h"     /* from the xlockmore distribution */
 #endif /* !STANDALONE */
 
 static Bool tracks;
 
-#define DEF_TRACKS "False"
+#define DEF_TRACKS "True"
 
 static XrmOptionDescRec opts[] =
 {
      {"-tracks", ".galaxy.tracks", XrmoptionNoArg, (caddr_t) "on"},
      {"+tracks", ".galaxy.tracks", XrmoptionNoArg, (caddr_t) "off"}
+ {"-tracks", ".galaxy.tracks", XrmoptionNoArg, (caddr_t) "on"},
+ {"+tracks", ".galaxy.tracks", XrmoptionNoArg, (caddr_t) "off"}
 };
 
 static argtype vars[] =
 {
      {(caddr_t *) & tracks, "tracks", "Tracks", DEF_TRACKS, t_Bool}
+ {(caddr_t *) & tracks, "tracks", "Tracks", DEF_TRACKS, t_Bool}
 };
 
 static OptionStruct desc[] =
 {
      {"-/+tracks", "turn on/off star tracks"}
+ {"-/+tracks", "turn on/off star tracks"}
 };
 
 ModeSpecOpt galaxy_opts = { 2, opts, 1, vars, desc };
@@ -79,19 +81,19 @@ ModeSpecOpt galaxy_opts = { 2, opts, 1, vars, desc };
 #define FLOATRAND ((double) LRAND() / ((double) MAXRAND))
 
 #if 0
-#define WRAP       1           /* Warp around edges */
-#define BOUNCE     1           /* Bounce from borders */
+#define WRAP       1  /* Warp around edges */
+#define BOUNCE     1  /* Bounce from borders */
 #endif
 
 #define MINSIZE       1
-#define MINGALAXIES    1
-#define MAX_STARS    300
+#define MINGALAXIES    2
+#define MAX_STARS    3000
 #define MAX_IDELTAT    50
 /* These come originally from the Cluster-version */
-#define DEFAULT_GALAXIES  2
+#define DEFAULT_GALAXIES  3
 #define DEFAULT_STARS    1000
 #define DEFAULT_HITITERATIONS  7500
-#define DEFAULT_IDELTAT    200 /* 0.02 */
+#define DEFAULT_IDELTAT    200 /* 0.02 */
 #define EPSILON 0.00000001
 
 #define sqrt_EPSILON 0.0001
@@ -99,57 +101,46 @@ ModeSpecOpt galaxy_opts = { 2, opts, 1, vars, desc };
 #define DELTAT (MAX_IDELTAT * 0.0001)
 
 #define GALAXYRANGESIZE  0.1
-#define GALAXYMINSIZE  0.1
+#define GALAXYMINSIZE  0.15
 #define QCONS    0.001
 
-/*-
- *  The following is enabled, it does not look that good for some.
- *  (But it looks great for me.)  Maybe velocities should be measured
- *  relative to their galaxy-centers instead of absolute.
- */
-#if 0
-#undef NO_VELOCITY_COLORING */ /* different colors for different speeds */
-#endif
 
-#define COLORBASE  8
+#define COLORBASE  16
   /* Colors for stars start here */
-#define COLORSTEP  (NUMCOLORS/COLORBASE)       /* 8 colors per galaxy */
+#define COLORSTEP  (NUMCOLORS/COLORBASE) /* NUMCOLORS / COLORBASE colors
+per galaxy */
 
-#define drawStar(x,y,size) if(size<=1) XDrawPoint(display,window,gc,x,y);\
-  else XFillArc(display,window,gc,x,y,size,size,0,23040)
 
 typedef struct {
-       double      pos[3], vel[3];
-       int         px, py;
-       int         color;
-       int         size;
+ double      pos[3], vel[3];
 } Star;
 
+
 typedef struct {
-       int         mass;
-       int         nstars;
-       Star       *stars;
-       double      pos[3], vel[3];
-       int         galcol;
+ int         mass;
+ int         nstars;
+ Star       *stars;
+ XPoint     *oldpoints;
+ XPoint     *newpoints;
+ double      pos[3], vel[3];
+ int         galcol;
 } Galaxy;
 
 typedef struct {
-       struct {
-               int         left;       /* x minimum */
-               int         right;      /* x maximum */
-               int         top;        /* y minimum */
-               int         bottom;     /* y maximum */
-       } clip;
-       double      mat[3][3];  /* Movement of stars(?) */
-       double      scale;      /* Scale */
-       int         midx;       /* Middle of screen, x */
-       int         midy;       /* Middle of screen, y */
-       double      size;       /* */
-       double      diff[3];    /* */
-       Galaxy     *galaxies;   /* the Whole Universe */
-       int         ngalaxies;  /* # galaxies */
-       int         f_hititerations;    /* # iterations before restart */
-       int         step;       /* */
+ double      mat[3][3]; /* Movement of stars(?) */
+ double      scale; /* Scale */
+ int         midx; /* Middle of screen, x */
+ int         midy; /* Middle of screen, y */
+ double      size; /* */
+ double      diff[3]; /* */
+ Galaxy     *galaxies; /* the Whole Universe */
+ int         ngalaxies; /* # galaxies */
+ int         f_hititerations; /* # iterations before restart */
+ int         step; /* */
+ double      rot_y; /* rotation of eye around center of universe, around
+y-axis*/
+ double      rot_x; /* rotation of eye around center of universe, around
+x-axis */
 } unistruct;
 
 static unistruct *universes = NULL;
@@ -157,313 +148,288 @@ static unistruct *universes = NULL;
 static void
 free_galaxies(unistruct * gp)
 {
-       if (gp->galaxies != NULL) {
-               int         i;
-
-               for (i = 0; i < gp->ngalaxies; i++) {
-                       Galaxy     *gt = &gp->galaxies[i];
-
-                       if (gt->stars != NULL)
-                               (void) free((void *) gt->stars);
-               }
-               (void) free((void *) gp->galaxies);
-               gp->galaxies = NULL;
-       }
+ if (gp->galaxies != NULL) {
+  int         i;
+
+  for (i = 0; i < gp->ngalaxies; i++) {
+   Galaxy     *gt = &gp->galaxies[i];
+
+   if (gt->stars != NULL)
+    (void) free((void *) gt->stars);
+   if (gt->oldpoints != NULL)
+       (void) free((void *) gt->oldpoints);
+   if (gt->newpoints != NULL)
+       (void) free((void *) gt->newpoints);
+  }
+  (void) free((void *) gp->galaxies);
+  gp->galaxies = NULL;
+ }
 }
 
 static void
 startover(ModeInfo * mi)
 {
-       unistruct  *gp = &universes[MI_SCREEN(mi)];
-       int         size = MI_SIZE(mi);
-       int         i, j;       /* more tmp */
-       double      w1, w2;     /* more tmp */
-       double      d, v, w, h; /* yet more tmp */
-
-       gp->step = 0;
-
-       if (MI_BATCHCOUNT(mi) < -MINGALAXIES)
-               free_galaxies(gp);
-       gp->ngalaxies = MI_BATCHCOUNT(mi);
-       if (gp->ngalaxies < -MINGALAXIES)
-               gp->ngalaxies = NRAND(-gp->ngalaxies - MINGALAXIES + 1) + MINGALAXIES;
-       else if (gp->ngalaxies < MINGALAXIES)
-               gp->ngalaxies = MINGALAXIES;
-       if (gp->galaxies == NULL)
-               gp->galaxies = (Galaxy *) calloc(gp->ngalaxies, sizeof (Galaxy));
-
-       for (i = 0; i < gp->ngalaxies; ++i) {
-               Galaxy     *gt = &gp->galaxies[i];
-               double      sinw1, sinw2, cosw1, cosw2;
-
-               gt->galcol = NRAND(COLORBASE - 2);
-               if (gt->galcol > 1)
-                       gt->galcol += 2;        /* Mult 8; 16..31 no green stars */
-               /* Galaxies still may have some green stars but are not all green. */
-
-               if (gt->stars != NULL) {
-                       (void) free((void *) gt->stars);
-                       gt->stars = NULL;
-               }
-               gt->nstars = (NRAND(MAX_STARS / 2)) + MAX_STARS / 2;
-               gt->stars = (Star *) malloc(gt->nstars * sizeof (Star));
-               w1 = 2.0 * M_PI * FLOATRAND;
-               w2 = 2.0 * M_PI * FLOATRAND;
-               sinw1 = SINF(w1);
-               sinw2 = SINF(w2);
-               cosw1 = COSF(w1);
-               cosw2 = COSF(w2);
-
-               gp->mat[0][0] = cosw2;
-               gp->mat[0][1] = -sinw1 * sinw2;
-               gp->mat[0][2] = cosw1 * sinw2;
-               gp->mat[1][0] = 0.0;
-               gp->mat[1][1] = cosw1;
-               gp->mat[1][2] = sinw1;
-               gp->mat[2][0] = -sinw2;
-               gp->mat[2][1] = -sinw1 * cosw2;
-               gp->mat[2][2] = cosw1 * cosw2;
-
-               gt->vel[0] = FLOATRAND * 2.0 - 1.0;
-               gt->vel[1] = FLOATRAND * 2.0 - 1.0;
-               gt->vel[2] = FLOATRAND * 2.0 - 1.0;
-               gt->pos[0] = -gt->vel[0] * DELTAT *
-                       gp->f_hititerations + FLOATRAND - 0.5;
-               gt->pos[1] = -gt->vel[1] * DELTAT *
-                       gp->f_hititerations + FLOATRAND - 0.5;
-               gt->pos[2] = -gt->vel[2] * DELTAT *
-                       gp->f_hititerations + FLOATRAND - 0.5;
-
-               gt->mass = (int) (FLOATRAND * 1000.0) + 1;
-
-               gp->size = GALAXYRANGESIZE * FLOATRAND + GALAXYMINSIZE;
-
-               for (j = 0; j < gt->nstars; ++j) {
-                       Star       *st = &gt->stars[j];
-                       double      sinw, cosw;
-
-                       w = 2.0 * M_PI * FLOATRAND;
-                       sinw = SINF(w);
-                       cosw = COSF(w);
-                       d = FLOATRAND * gp->size;
-                       h = FLOATRAND * exp(-2.0 * (d / gp->size)) / 5.0 * gp->size;
-                       if (FLOATRAND < 0.5)
-                               h = -h;
-                       st->pos[0] = gp->mat[0][0] * d * cosw + gp->mat[1][0] * d * sinw +
-                               gp->mat[2][0] * h + gt->pos[0];
-                       st->pos[1] = gp->mat[0][1] * d * cosw + gp->mat[1][1] * d * sinw +
-                               gp->mat[2][1] * h + gt->pos[1];
-                       st->pos[2] = gp->mat[0][2] * d * cosw + gp->mat[1][2] * d * sinw +
-                               gp->mat[2][2] * h + gt->pos[2];
-
-                       v = sqrt(gt->mass * QCONS / sqrt(d * d + h * h));
-                       st->vel[0] = -gp->mat[0][0] * v * sinw + gp->mat[1][0] * v * cosw +
-                               gt->vel[0];
-                       st->vel[1] = -gp->mat[0][1] * v * sinw + gp->mat[1][1] * v * cosw +
-                               gt->vel[1];
-                       st->vel[2] = -gp->mat[0][2] * v * sinw + gp->mat[1][2] * v * cosw +
-                               gt->vel[2];
-
-                       st->vel[0] *= DELTAT;
-                       st->vel[1] *= DELTAT;
-                       st->vel[2] *= DELTAT;
-
-                       st->px = 0;
-                       st->py = 0;
-
-                       if (size < -MINSIZE)
-                               st->size = NRAND(-size - MINSIZE + 1) + MINSIZE;
-                       else if (size < MINSIZE)
-                               st->size = MINSIZE;
-                       else
-                               st->size = size;
-               }
-       }
-
-       XClearWindow(MI_DISPLAY(mi), MI_WINDOW(mi));
+ unistruct  *gp = &universes[MI_SCREEN(mi)];
+ int         i, j; /* more tmp */
+ double      w1, w2; /* more tmp */
+ double      d, v, w, h; /* yet more tmp */
+
+ gp->step = 0;
+ gp->rot_y = 0;
+ gp->rot_x = 0;
+
+ if (MI_BATCHCOUNT(mi) < -MINGALAXIES)
+  free_galaxies(gp);
+ gp->ngalaxies = MI_BATCHCOUNT(mi);
+ if (gp->ngalaxies < -MINGALAXIES)
+  gp->ngalaxies = NRAND(-gp->ngalaxies - MINGALAXIES + 1) + MINGALAXIES;
+
+ else if (gp->ngalaxies < MINGALAXIES)
+  gp->ngalaxies = MINGALAXIES;
+ if (gp->galaxies == NULL)
+  gp->galaxies = (Galaxy *) calloc(gp->ngalaxies, sizeof (Galaxy));
+
+ for (i = 0; i < gp->ngalaxies; ++i) {
+  Galaxy     *gt = &gp->galaxies[i];
+  double      sinw1, sinw2, cosw1, cosw2;
+
+  gt->galcol = NRAND(COLORBASE - 2);
+  if (gt->galcol > 1)
+   gt->galcol += 2; /* Mult 8; 16..31 no green stars */
+  /* Galaxies still may have some green stars but are not all green. */
+
+  if (gt->stars != NULL) {
+   (void) free((void *) gt->stars);
+   gt->stars = NULL;
+  }
+  gt->nstars = (NRAND(MAX_STARS / 2)) + MAX_STARS / 2;
+  gt->stars = (Star *) malloc(gt->nstars * sizeof (Star));
+  gt->oldpoints = (XPoint *) malloc(gt->nstars * sizeof (XPoint));
+  gt->newpoints = (XPoint *) malloc(gt->nstars * sizeof (XPoint));
+
+  w1 = 2.0 * M_PI * FLOATRAND;
+  w2 = 2.0 * M_PI * FLOATRAND;
+  sinw1 = SINF(w1);
+  sinw2 = SINF(w2);
+  cosw1 = COSF(w1);
+  cosw2 = COSF(w2);
+
+  gp->mat[0][0] = cosw2;
+  gp->mat[0][1] = -sinw1 * sinw2;
+  gp->mat[0][2] = cosw1 * sinw2;
+  gp->mat[1][0] = 0.0;
+  gp->mat[1][1] = cosw1;
+  gp->mat[1][2] = sinw1;
+  gp->mat[2][0] = -sinw2;
+  gp->mat[2][1] = -sinw1 * cosw2;
+  gp->mat[2][2] = cosw1 * cosw2;
+
+  gt->vel[0] = FLOATRAND * 2.0 - 1.0;
+  gt->vel[1] = FLOATRAND * 2.0 - 1.0;
+  gt->vel[2] = FLOATRAND * 2.0 - 1.0;
+  gt->pos[0] = -gt->vel[0] * DELTAT * gp->f_hititerations + FLOATRAND -
+0.5;
+  gt->pos[1] = -gt->vel[1] * DELTAT * gp->f_hititerations + FLOATRAND -
+0.5;
+  gt->pos[2] = -gt->vel[2] * DELTAT * gp->f_hititerations + FLOATRAND -
+0.5;
+
+  gt->mass = (int) (FLOATRAND * 1000.0) + 1;
+
+  gp->size = GALAXYRANGESIZE * FLOATRAND + GALAXYMINSIZE;
+
+  for (j = 0; j < gt->nstars; ++j) {
+   Star       *st = &gt->stars[j];
+   XPoint     *oldp = &gt->oldpoints[j];
+   XPoint     *newp = &gt->newpoints[j];
+
+   double      sinw, cosw;
+
+   w = 2.0 * M_PI * FLOATRAND;
+   sinw = SINF(w);
+   cosw = COSF(w);
+   d = FLOATRAND * gp->size;
+   h = FLOATRAND * exp(-2.0 * (d / gp->size)) / 5.0 * gp->size;
+   if (FLOATRAND < 0.5)
+    h = -h;
+   st->pos[0] = gp->mat[0][0] * d * cosw + gp->mat[1][0] * d * sinw +
+gp->mat[2][0] * h + gt->pos[0];
+   st->pos[1] = gp->mat[0][1] * d * cosw + gp->mat[1][1] * d * sinw +
+gp->mat[2][1] * h + gt->pos[1];
+   st->pos[2] = gp->mat[0][2] * d * cosw + gp->mat[1][2] * d * sinw +
+gp->mat[2][2] * h + gt->pos[2];
+
+   v = sqrt(gt->mass * QCONS / sqrt(d * d + h * h));
+   st->vel[0] = -gp->mat[0][0] * v * sinw + gp->mat[1][0] * v * cosw +
+gt->vel[0];
+   st->vel[1] = -gp->mat[0][1] * v * sinw + gp->mat[1][1] * v * cosw +
+gt->vel[1];
+   st->vel[2] = -gp->mat[0][2] * v * sinw + gp->mat[1][2] * v * cosw +
+gt->vel[2];
+
+   st->vel[0] *= DELTAT;
+   st->vel[1] *= DELTAT;
+   st->vel[2] *= DELTAT;
+
+   oldp->x = 0;
+   oldp->y = 0;
+   newp->x = 0;
+   newp->y = 0;
+  }
+
+ }
+
+ XClearWindow(MI_DISPLAY(mi), MI_WINDOW(mi));
 
 #if 0
-       (void) printf("ngalaxies=%d, f_hititerations=%d\n",
-                     gp->ngalaxies, gp->f_hititerations);
-       (void) printf("f_deltat=%g\n", DELTAT);
-       (void) printf("Screen: ");
-       (void) printf("%dx%d pixel (%d-%d, %d-%d)\n",
-         (gp->clip.right - gp->clip.left), (gp->clip.bottom - gp->clip.top),
-              gp->clip.left, gp->clip.right, gp->clip.top, gp->clip.bottom);
+ (void) printf("ngalaxies=%d, f_hititerations=%d\n", gp->ngalaxies,
+gp->f_hititerations);
+ (void) printf("f_deltat=%g\n", DELTAT);
+ (void) printf("Screen: ");
 #endif /*0 */
 }
 
 void
 init_galaxy(ModeInfo * mi)
 {
-       unistruct  *gp;
-
-       if (universes == NULL) {
-               if ((universes = (unistruct *) calloc(MI_NUM_SCREENS(mi),
-                                               sizeof (unistruct))) == NULL)
-                       return;
-       }
-       gp = &universes[MI_SCREEN(mi)];
-
-       gp->f_hititerations = MI_CYCLES(mi);
-
-       gp->clip.left = 0;
-       gp->clip.top = 0;
-       gp->clip.right = MI_WIN_WIDTH(mi);
-       gp->clip.bottom = MI_WIN_HEIGHT(mi);
-
-       gp->scale = (double) (gp->clip.right + gp->clip.bottom) / 8.0;
-       gp->midx = gp->clip.right / 2;
-       gp->midy = gp->clip.bottom / 2;
-       startover(mi);
+ unistruct  *gp;
+
+ if (universes == NULL) {
+  if ((universes = (unistruct *) calloc(MI_NUM_SCREENS(mi),
+      sizeof (unistruct))) == NULL)
+   return;
+ }
+ gp = &universes[MI_SCREEN(mi)];
+
+ gp->f_hititerations = MI_CYCLES(mi);
+
+ gp->scale = (double) (MI_WIN_WIDTH(mi) + MI_WIN_HEIGHT(mi)) / 8.0;
+ gp->midx =  MI_WIN_WIDTH(mi)  / 2;
+ gp->midy =  MI_WIN_HEIGHT(mi) / 2;
+ startover(mi);
 }
 
 void
 draw_galaxy(ModeInfo * mi)
 {
-       Display    *display = MI_DISPLAY(mi);
-       Window      window = MI_WINDOW(mi);
-       GC          gc = MI_GC(mi);
-       unistruct  *gp = &universes[MI_SCREEN(mi)];
-       double      d;          /* tmp */
-       int         i, j, k;    /* more tmp */
-
-       for (i = 0; i < gp->ngalaxies; ++i) {
-               Galaxy     *gt = &gp->galaxies[i];
-
-               for (j = 0; j < gp->galaxies[i].nstars; ++j) {
-                       Star       *st = &gt->stars[j];
-                       double      v0 = st->vel[0];
-                       double      v1 = st->vel[1];
-                       double      v2 = st->vel[2];
-
-                       for (k = 0; k < gp->ngalaxies; ++k) {
-                               Galaxy     *gtk = &gp->galaxies[k];
-                               double      d0 = gtk->pos[0] - st->pos[0];
-                               double      d1 = gtk->pos[1] - st->pos[1];
-                               double      d2 = gtk->pos[2] - st->pos[2];
-
-                               d = d0 * d0 + d1 * d1 + d2 * d2;
-                               if (d > EPSILON)
-                                       d = gt->mass / (d * sqrt(d)) * DELTAT * DELTAT * QCONS;
-                               else
-                                       d = gt->mass / (EPSILON * sqrt_EPSILON) * DELTAT * DELTAT * QCONS;
-                               v0 += d0 * d;
-                               v1 += d1 * d;
-                               v2 += d2 * d;
-                       }
-
-                       st->vel[0] = v0;
-                       st->vel[1] = v1;
-                       st->vel[2] = v2;
-
-#ifndef NO_VELOCITY_COLORING
-                       d = (v0 * v0 + v1 * v1 + v2 * v2) / (3.0 * DELTAT * DELTAT);
-                       if (d > (double) COLORSTEP)
-                               st->color = COLORSTEP * gt->galcol + COLORSTEP - 1;
-                       else
-                               st->color = COLORSTEP * gt->galcol + ((int) d) % COLORSTEP;
-#endif
-                       st->pos[0] += v0;
-                       st->pos[1] += v1;
-                       st->pos[2] += v2;
-
-                       if (st->px >= gp->clip.left &&
-                           st->px <= gp->clip.right - st->size &&
-                           st->py >= gp->clip.top &&
-                           st->py <= gp->clip.bottom - st->size) {
-                               XSetForeground(display, gc, MI_WIN_BLACK_PIXEL(mi));
-                               drawStar(st->px, st->py, st->size);
-                       }
-                       st->px = (int) (st->pos[0] * gp->scale) + gp->midx;
-                       st->py = (int) (st->pos[1] * gp->scale) + gp->midy;
-
-
-#ifdef WRAP
-                       if (st->px < gp->clip.left) {
-                               (void) printf("wrap l -> r\n");
-                               st->px = gp->clip.right;
-                       }
-                       if (st->px > gp->clip.right) {
-                               (void) printf("wrap r -> l\n");
-                               st->px = gp->clip.left;
-                       }
-                       if (st->py > gp->clip.bottom) {
-                               (void) printf("wrap b -> t\n");
-                               st->py = gp->clip.top;
-                       }
-                       if (st->py < gp->clip.top) {
-                               (void) printf("wrap t -> b\n");
-                               st->py = gp->clip.bottom;
-                       }
-#endif /*WRAP */
-
-
-                       if (st->px >= gp->clip.left &&
-                           st->px <= gp->clip.right - st->size &&
-                           st->py >= gp->clip.top &&
-                           st->py <= gp->clip.bottom - st->size) {
-                               if (MI_NPIXELS(mi) > 2)
-#ifdef NO_VELOCITY_COLORING
-                                       XSetForeground(display, gc, MI_PIXEL(mi, COLORSTEP * gt->galcol));
-#else
-                                       XSetForeground(display, gc, MI_PIXEL(mi, st->color));
-#endif
-                               else
-                                       XSetForeground(display, gc, MI_WIN_WHITE_PIXEL(mi));
-                               if (tracks)
-                                       drawStar(st->px + 1, st->py, st->size);
-                               else
-                                       drawStar(st->px, st->py, st->size);
-                       }
-               }
-
-               for (k = i + 1; k < gp->ngalaxies; ++k) {
-                       Galaxy     *gtk = &gp->galaxies[k];
-                       double      d0 = gtk->pos[0] - gt->pos[0];
-                       double      d1 = gtk->pos[1] - gt->pos[1];
-                       double      d2 = gtk->pos[2] - gt->pos[2];
-
-                       d = d0 * d0 + d1 * d1 + d2 * d2;
-                       if (d > EPSILON)
-                               d = gt->mass * gt->mass / (d * sqrt(d)) * DELTAT * QCONS;
-                       else
-                               d = gt->mass * gt->mass / (EPSILON * sqrt_EPSILON) * DELTAT * QCONS;
-                       d0 *= d;
-                       d1 *= d;
-                       d2 *= d;
-                       gt->vel[0] += d0 / gt->mass;
-                       gt->vel[1] += d1 / gt->mass;
-                       gt->vel[2] += d2 / gt->mass;
-                       gtk->vel[0] -= d0 / gtk->mass;
-                       gtk->vel[1] -= d1 / gtk->mass;
-                       gtk->vel[2] -= d2 / gtk->mass;
-               }
-               gt->pos[0] += gt->vel[0] * DELTAT;
-               gt->pos[1] += gt->vel[1] * DELTAT;
-               gt->pos[2] += gt->vel[2] * DELTAT;
-       }
-
-       gp->step++;
-       if (gp->step > gp->f_hititerations * 4)
-               startover(mi);
+ Display    *display = MI_DISPLAY(mi);
+ Window      window = MI_WINDOW(mi);
+ GC          gc = MI_GC(mi);
+ unistruct  *gp = &universes[MI_SCREEN(mi)];
+ double      d, eps, cox, six, cor, sir;  /* tmp */
+ int         i, j, k; /* more tmp */
+    XPoint    *dummy = NULL;
+
+    gp->rot_y += 0.01;
+ gp->rot_x += 0.004;
+
+ cox = COSF(gp->rot_y);
+ six = SINF(gp->rot_y);
+    cor = COSF(gp->rot_x);
+    sir = SINF(gp->rot_x);
+
+    eps = 1/(EPSILON * sqrt_EPSILON * DELTAT * DELTAT * QCONS);
+
+ for (i = 0; i < gp->ngalaxies; ++i) {
+  Galaxy     *gt = &gp->galaxies[i];
+
+  for (j = 0; j < gp->galaxies[i].nstars; ++j) {
+   Star       *st = &gt->stars[j];
+   XPoint     *newp = &gt->newpoints[j];
+   double      v0 = st->vel[0];
+   double      v1 = st->vel[1];
+   double      v2 = st->vel[2];
+
+   for (k = 0; k < gp->ngalaxies; ++k) {
+    Galaxy     *gtk = &gp->galaxies[k];
+    double      d0 = gtk->pos[0] - st->pos[0];
+    double      d1 = gtk->pos[1] - st->pos[1];
+    double      d2 = gtk->pos[2] - st->pos[2];
+
+    d = d0 * d0 + d1 * d1 + d2 * d2;
+    if (d > EPSILON)
+     d = gt->mass / (d * sqrt(d)) * DELTAT * DELTAT * QCONS;
+    else
+        d = gt->mass * eps;
+    v0 += d0 * d;
+    v1 += d1 * d;
+    v2 += d2 * d;
+   }
+
+   st->vel[0] = v0;
+   st->vel[1] = v1;
+   st->vel[2] = v2;
+
+   st->pos[0] += v0;
+   st->pos[1] += v1;
+   st->pos[2] += v2;
+
+   newp->x = (short) (((cox * st->pos[0]) - (six * st->pos[2])) *
+gp->scale) + gp->midx;
+   newp->y = (short) (((cor * st->pos[1]) - (sir * ((six * st->pos[0]) +
+(cox * st->pos[2])))) * gp->scale) + gp->midy;
+
+  }
+
+  for (k = i + 1; k < gp->ngalaxies; ++k) {
+   Galaxy     *gtk = &gp->galaxies[k];
+   double      d0 = gtk->pos[0] - gt->pos[0];
+   double      d1 = gtk->pos[1] - gt->pos[1];
+   double      d2 = gtk->pos[2] - gt->pos[2];
+
+   d = d0 * d0 + d1 * d1 + d2 * d2;
+   if (d > EPSILON)
+    d = gt->mass * gt->mass / (d * sqrt(d)) * DELTAT * QCONS;
+   else
+    d = gt->mass * gt->mass / (EPSILON * sqrt_EPSILON) * DELTAT * QCONS;
+
+   d0 *= d;
+   d1 *= d;
+   d2 *= d;
+   gt->vel[0] += d0 / gt->mass;
+   gt->vel[1] += d1 / gt->mass;
+   gt->vel[2] += d2 / gt->mass;
+   gtk->vel[0] -= d0 / gtk->mass;
+   gtk->vel[1] -= d1 / gtk->mass;
+   gtk->vel[2] -= d2 / gtk->mass;
+  }
+
+  gt->pos[0] += gt->vel[0] * DELTAT;
+  gt->pos[1] += gt->vel[1] * DELTAT;
+  gt->pos[2] += gt->vel[2] * DELTAT;
+
+         XSetForeground(display, gc, MI_WIN_BLACK_PIXEL(mi));
+  XDrawPoints(display, window, gc, gt->oldpoints, gt->nstars,
+CoordModeOrigin);
+  XSetForeground(display, gc, MI_PIXEL(mi, COLORSTEP * gt->galcol));
+         XDrawPoints(display, window, gc, gt->newpoints, gt->nstars,
+CoordModeOrigin);
+
+         dummy = gt->oldpoints;
+  gt->oldpoints = gt->newpoints;
+  gt->newpoints = dummy;
+ }
+
+ gp->step++;
+ if (gp->step > gp->f_hititerations * 4)
+  startover(mi);
 }
 
 void
 release_galaxy(ModeInfo * mi)
 {
      if (universes != NULL) {
-               int         screen;
-
-               for (screen = 0; screen < MI_NUM_SCREENS(mi); screen++)
-                       free_galaxies(&universes[screen]);
-               (void) free((void *) universes);
-               universes = NULL;
      }
+ if (universes != NULL) {
+  int         screen;
+
+  for (screen = 0; screen < MI_NUM_SCREENS(mi); screen++)
+   free_galaxies(&universes[screen]);
+  (void) free((void *) universes);
+  universes = NULL;
+ }
 }
 
 void
 refresh_galaxy(ModeInfo * mi)
 {
      /* Do nothing, it will refresh by itself */
+ /* Do nothing, it will refresh by itself */
 }