[~andy/gtk] / gdk / x11 / gdkregion-generic.c

/* $TOG: Region.c /main/31 1998/02/06 17:50:22 kaleb $ */
/************************************************************************

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Copyright 1987, 1988 by Digital Equipment Corporation, Maynard, Massachusetts.

                        All Rights Reserved

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************************************************************************/
/* $XFree86: xc/lib/X11/Region.c,v 1.5 1999/05/09 10:50:01 dawes Exp $ */
/*
 * The functions in this file implement the Region abstraction, similar to one
 * used in the X11 sample server. A Region is simply an area, as the name
 * implies, and is implemented as a "y-x-banded" array of rectangles. To
 * explain: Each Region is made up of a certain number of rectangles sorted
 * by y coordinate first, and then by x coordinate.
 *
 * Furthermore, the rectangles are banded such that every rectangle with a
 * given upper-left y coordinate (y1) will have the same lower-right y
 * coordinate (y2) and vice versa. If a rectangle has scanlines in a band, it
 * will span the entire vertical distance of the band. This means that some
 * areas that could be merged into a taller rectangle will be represented as
 * several shorter rectangles to account for shorter rectangles to its left
 * or right but within its "vertical scope".
 *
 * An added constraint on the rectangles is that they must cover as much
 * horizontal area as possible. E.g. no two rectangles in a band are allowed
 * to touch.
 *
 * Whenever possible, bands will be merged together to cover a greater vertical
 * distance (and thus reduce the number of rectangles). Two bands can be merged
 * only if the bottom of one touches the top of the other and they have
 * rectangles in the same places (of the same width, of course). This maintains
 * the y-x-banding that's so nice to have...
 */

#include <gdkregion.h>
#include "gdkregion-generic.h"

#ifdef DEBUG
#include <stdio.h>
#define assert(expr) {if (!(expr)) fprintf(stderr,\
"Assertion failed file %s, line %d: expr\n", __FILE__, __LINE__); }
#else
#define assert(expr)
#endif

typedef void (*overlapFunc) (GdkRegion    *pReg,
                             GdkRegionBox *r1,
                             GdkRegionBox *r1End,
                             GdkRegionBox *r2,
                             GdkRegionBox *r2End,
                             gint          y1,
                             gint          y2);
typedef void (*nonOverlapFunc) (GdkRegion    *pReg,
                                GdkRegionBox *r,
                                GdkRegionBox *rEnd,
                                gint          y1,
                                gint          y2);

static void miRegionCopy (GdkRegion      *dstrgn,
                          GdkRegion      *rgn);
static void miRegionOp   (GdkRegion      *newReg,
                          GdkRegion      *reg1,
                          GdkRegion      *reg2,
                          overlapFunc     overlapFn,
                          nonOverlapFunc  nonOverlap1Fn,
                          nonOverlapFunc  nonOverlap2Fn);

/*      Create a new empty region       */

GdkRegion *
gdk_region_new ()
{
  GdkRegion *temp;

  temp = g_new (GdkRegion, 1);
  temp->rects = g_new (GdkRegionBox, 1);

  temp->numRects = 0;
  temp->extents.x1 = 0;
  temp->extents.y1 = 0;
  temp->extents.x2 = 0;
  temp->extents.y2 = 0;
  temp->size = 1;
  
  return temp;
}

GdkRegion *
gdk_region_rectangle (GdkRectangle *rectangle)
{
  GdkRegion *temp;

  if (rectangle->width <= 0 || rectangle->height <= 0)
    return gdk_region_new();

  temp = g_new (GdkRegion, 1);
  temp->rects = g_new (GdkRegionBox, 1);

  temp->numRects = 1;
  temp->extents.x1 = temp->rects[0].x1 = rectangle->x;
  temp->extents.y1 = temp->rects[0].y1 = rectangle->y;
  temp->extents.x2 = temp->rects[0].x2 = rectangle->x + rectangle->width;
  temp->extents.y2 = temp->rects[0].y2 = rectangle->y + rectangle->height;
  temp->size = 1;
  
  return temp;
}

GdkRegion *
gdk_region_copy (GdkRegion *region)
{
  GdkRegion *temp;

  temp = g_new (GdkRegion, 1);
  temp->rects = g_new (GdkRegionBox, region->numRects);

  temp->numRects = region->numRects;
  temp->extents = region->extents;
  temp->size = region->numRects;
  
  memcpy (temp->rects, region->rects, region->numRects * sizeof (GdkRegionBox));

  return temp;
}

void
gdk_region_get_clipbox (GdkRegion *r, GdkRectangle *rect)
{
  rect->x = r->extents.x1;
  rect->y = r->extents.y1;
  rect->width = r->extents.x2 - r->extents.x1;
  rect->height = r->extents.y2 - r->extents.y1;
}

void
gdk_region_union_with_rect (GdkRegion    *region,
                            GdkRectangle *rect)
{
  GdkRegion tmp_region;

  if (!rect->width || !rect->height)
    return;
    
  tmp_region.rects = &tmp_region.extents;
  tmp_region.numRects = 1;
  tmp_region.extents.x1 = rect->x;
  tmp_region.extents.y1 = rect->y;
  tmp_region.extents.x2 = rect->x + rect->width;
  tmp_region.extents.y2 = rect->y + rect->height;
  tmp_region.size = 1;

  gdk_region_union (region, &tmp_region);
}

/*-
 *-----------------------------------------------------------------------
 * miSetExtents --
 *      Reset the extents of a region to what they should be. Called by
 *      miSubtract and miIntersect b/c they can't figure it out along the
 *      way or do so easily, as miUnion can.
 *
 * Results:
 *      None.
 *
 * Side Effects:
 *      The region's 'extents' structure is overwritten.
 *
 *-----------------------------------------------------------------------
 */
static void
miSetExtents (GdkRegion *pReg)
{
  GdkRegionBox *pBox, *pBoxEnd, *pExtents;

  if (pReg->numRects == 0)
    {
      pReg->extents.x1 = 0;
      pReg->extents.y1 = 0;
      pReg->extents.x2 = 0;
      pReg->extents.y2 = 0;
      return;
    }

  pExtents = &pReg->extents;
  pBox = pReg->rects;
  pBoxEnd = &pBox[pReg->numRects - 1];

    /*
     * Since pBox is the first rectangle in the region, it must have the
     * smallest y1 and since pBoxEnd is the last rectangle in the region,
     * it must have the largest y2, because of banding. Initialize x1 and
     * x2 from  pBox and pBoxEnd, resp., as good things to initialize them
     * to...
     */
  pExtents->x1 = pBox->x1;
  pExtents->y1 = pBox->y1;
  pExtents->x2 = pBoxEnd->x2;
  pExtents->y2 = pBoxEnd->y2;

  assert(pExtents->y1 < pExtents->y2);
  while (pBox <= pBoxEnd)
    {
      if (pBox->x1 < pExtents->x1)
        {
          pExtents->x1 = pBox->x1;
        }
      if (pBox->x2 > pExtents->x2)
        {
          pExtents->x2 = pBox->x2;
        }
      pBox++;
    }
  assert(pExtents->x1 < pExtents->x2);
}

void
gdk_region_destroy (GdkRegion *r)
{
    g_free (r->rects);
    g_free (r);
}


/* TranslateRegion(pRegion, x, y)
   translates in place
   added by raymond
*/

void
gdk_region_offset (GdkRegion *region,
                   gint       x,
                   gint       y)
{
  int nbox;
  GdkRegionBox *pbox;

  pbox = region->rects;
  nbox = region->numRects;

  while(nbox--)
    {
      pbox->x1 += x;
      pbox->x2 += x;
      pbox->y1 += y;
      pbox->y2 += y;
      pbox++;
    }
  region->extents.x1 += x;
  region->extents.x2 += x;
  region->extents.y1 += y;
  region->extents.y2 += y;
}

/* 
   Utility procedure Compress:
   Replace r by the region r', where 
     p in r' iff (Quantifer m <= dx) (p + m in r), and
     Quantifier is Exists if grow is TRUE, For all if grow is FALSE, and
     (x,y) + m = (x+m,y) if xdir is TRUE; (x,y+m) if xdir is FALSE.

   Thus, if xdir is TRUE and grow is FALSE, r is replaced by the region
   of all points p such that p and the next dx points on the same
   horizontal scan line are all in r.  We do this using by noting
   that p is the head of a run of length 2^i + k iff p is the head
   of a run of length 2^i and p+2^i is the head of a run of length
   k. Thus, the loop invariant: s contains the region corresponding
   to the runs of length shift.  r contains the region corresponding
   to the runs of length 1 + dxo & (shift-1), where dxo is the original
   value of dx.  dx = dxo & ~(shift-1).  As parameters, s and t are
   scratch regions, so that we don't have to allocate them on every
   call.
*/

#define ZOpRegion(a,b) if (grow) gdk_region_union (a, b); \
                         else gdk_region_intersect (a,b)
#define ZShiftRegion(a,b) if (xdir) gdk_region_offset (a,b,0); \
                          else gdk_region_offset (a,0,b)

static void
Compress(GdkRegion *r,
         GdkRegion *s,
         GdkRegion *t,
         guint      dx,
         int        xdir,
         int        grow)
{
  guint shift = 1;

  miRegionCopy (s, r);
  while (dx)
    {
      if (dx & shift)
        {
          ZShiftRegion(r, -(int)shift);
          ZOpRegion(r, s);
          dx -= shift;
          if (!dx) break;
        }
      miRegionCopy (t, s);
      ZShiftRegion(s, -(int)shift);
      ZOpRegion(s, t);
      shift <<= 1;
    }
}

#undef ZOpRegion
#undef ZShiftRegion
#undef ZCopyRegion

void
gdk_region_shrink (GdkRegion *r,
                   int        dx,
                   int        dy)
{
  GdkRegion *s, *t;
  int grow;

  if (!dx && !dy)
    return;

  s = gdk_region_new ();
  t = gdk_region_new ();

  grow = (dx < 0);
  if (grow)
    dx = -dx;
  if (dx)
     Compress(r, s, t, (unsigned) 2*dx, TRUE, grow);
     
  grow = (dy < 0);
  if (grow)
    dy = -dy;
  if (dy)
     Compress(r, s, t, (unsigned) 2*dy, FALSE, grow);
  
  gdk_region_offset (r, dx, dy);
  gdk_region_destroy (s);
  gdk_region_destroy (t);
}

\f
/*======================================================================
 *          Region Intersection
 *====================================================================*/
/*-
 *-----------------------------------------------------------------------
 * miIntersectO --
 *      Handle an overlapping band for miIntersect.
 *
 * Results:
 *      None.
 *
 * Side Effects:
 *      Rectangles may be added to the region.
 *
 *-----------------------------------------------------------------------
 */
/* static void*/
static void
miIntersectO (GdkRegion    *pReg,
              GdkRegionBox *r1,
              GdkRegionBox *r1End,
              GdkRegionBox *r2,
              GdkRegionBox *r2End,
              gint          y1,
              gint          y2)
{
  int   x1;
  int   x2;
  GdkRegionBox *pNextRect;

  pNextRect = &pReg->rects[pReg->numRects];

  while ((r1 != r1End) && (r2 != r2End))
    {
      x1 = MAX (r1->x1,r2->x1);
      x2 = MIN (r1->x2,r2->x2);

      /*
       * If there's any overlap between the two rectangles, add that
       * overlap to the new region.
       * There's no need to check for subsumption because the only way
       * such a need could arise is if some region has two rectangles
       * right next to each other. Since that should never happen...
       */
      if (x1 < x2)
        {
          assert (y1<y2);

          MEMCHECK (pReg, pNextRect, pReg->rects);
          pNextRect->x1 = x1;
          pNextRect->y1 = y1;
          pNextRect->x2 = x2;
          pNextRect->y2 = y2;
          pReg->numRects += 1;
          pNextRect++;
          assert (pReg->numRects <= pReg->size);
        }

      /*
       * Need to advance the pointers. Shift the one that extends
       * to the right the least, since the other still has a chance to
       * overlap with that region's next rectangle, if you see what I mean.
       */
      if (r1->x2 < r2->x2)
        {
          r1++;
        }
      else if (r2->x2 < r1->x2)
        {
          r2++;
        }
      else
        {
          r1++;
          r2++;
        }
    }
}

void
gdk_region_intersect (GdkRegion *region,
                      GdkRegion *other)
{
  /* check for trivial reject */
  if ((!(region->numRects)) || (!(other->numRects))  ||
      (!EXTENTCHECK(&region->extents, &other->extents)))
    region->numRects = 0;
  else
    miRegionOp (region, region, other, 
                miIntersectO, (nonOverlapFunc) NULL, (nonOverlapFunc) NULL);
    
  /*
   * Can't alter region's extents before miRegionOp depends on the
   * extents of the regions being unchanged. Besides, this way there's
   * no checking against rectangles that will be nuked due to
   * coalescing, so we have to examine fewer rectangles.
   */
  miSetExtents(region);
}

static void
miRegionCopy(GdkRegion *dstrgn, GdkRegion *rgn)
{
  if (dstrgn != rgn) /*  don't want to copy to itself */
    {  
      if (dstrgn->size < rgn->numRects)
        {
          dstrgn->rects = g_renew (GdkRegionBox, dstrgn->rects, rgn->numRects);
          dstrgn->size = rgn->numRects;
        }
      dstrgn->numRects = rgn->numRects;
      dstrgn->extents.x1 = rgn->extents.x1;
      dstrgn->extents.y1 = rgn->extents.y1;
      dstrgn->extents.x2 = rgn->extents.x2;
      dstrgn->extents.y2 = rgn->extents.y2;

      memcpy (dstrgn->rects, rgn->rects, rgn->numRects * sizeof (GdkRegionBox));
    }
}


/*======================================================================
 *          Generic Region Operator
 *====================================================================*/

/*-
 *-----------------------------------------------------------------------
 * miCoalesce --
 *      Attempt to merge the boxes in the current band with those in the
 *      previous one. Used only by miRegionOp.
 *
 * Results:
 *      The new index for the previous band.
 *
 * Side Effects:
 *      If coalescing takes place:
 *          - rectangles in the previous band will have their y2 fields
 *            altered.
 *          - pReg->numRects will be decreased.
 *
 *-----------------------------------------------------------------------
 */
/* static int*/
static int
miCoalesce (GdkRegion *pReg,         /* Region to coalesce */
            gint       prevStart,    /* Index of start of previous band */
            gint       curStart)     /* Index of start of current band */
{
  GdkRegionBox *pPrevBox;       /* Current box in previous band */
  GdkRegionBox *pCurBox;        /* Current box in current band */
  GdkRegionBox *pRegEnd;        /* End of region */
  int           curNumRects;    /* Number of rectangles in current
                                 * band */
  int           prevNumRects;   /* Number of rectangles in previous
                                 * band */
  int           bandY1;         /* Y1 coordinate for current band */

  pRegEnd = &pReg->rects[pReg->numRects];

  pPrevBox = &pReg->rects[prevStart];
  prevNumRects = curStart - prevStart;

    /*
     * Figure out how many rectangles are in the current band. Have to do
     * this because multiple bands could have been added in miRegionOp
     * at the end when one region has been exhausted.
     */
  pCurBox = &pReg->rects[curStart];
  bandY1 = pCurBox->y1;
  for (curNumRects = 0;
       (pCurBox != pRegEnd) && (pCurBox->y1 == bandY1);
       curNumRects++)
    {
      pCurBox++;
    }
    
  if (pCurBox != pRegEnd)
    {
      /*
       * If more than one band was added, we have to find the start
       * of the last band added so the next coalescing job can start
       * at the right place... (given when multiple bands are added,
       * this may be pointless -- see above).
       */
      pRegEnd--;
      while (pRegEnd[-1].y1 == pRegEnd->y1)
        {
          pRegEnd--;
        }
      curStart = pRegEnd - pReg->rects;
      pRegEnd = pReg->rects + pReg->numRects;
    }
        
  if ((curNumRects == prevNumRects) && (curNumRects != 0)) {
    pCurBox -= curNumRects;
    /*
     * The bands may only be coalesced if the bottom of the previous
     * matches the top scanline of the current.
     */
    if (pPrevBox->y2 == pCurBox->y1)
      {
        /*
         * Make sure the bands have boxes in the same places. This
         * assumes that boxes have been added in such a way that they
         * cover the most area possible. I.e. two boxes in a band must
         * have some horizontal space between them.
         */
        do
          {
            if ((pPrevBox->x1 != pCurBox->x1) ||
                (pPrevBox->x2 != pCurBox->x2))
              {
                /*
                 * The bands don't line up so they can't be coalesced.
                 */
                return (curStart);
              }
            pPrevBox++;
            pCurBox++;
            prevNumRects -= 1;
          } while (prevNumRects != 0);

        pReg->numRects -= curNumRects;
        pCurBox -= curNumRects;
        pPrevBox -= curNumRects;

        /*
         * The bands may be merged, so set the bottom y of each box
         * in the previous band to that of the corresponding box in
         * the current band.
         */
        do
          {
            pPrevBox->y2 = pCurBox->y2;
            pPrevBox++;
            pCurBox++;
            curNumRects -= 1;
          }
        while (curNumRects != 0);

        /*
         * If only one band was added to the region, we have to backup
         * curStart to the start of the previous band.
         *
         * If more than one band was added to the region, copy the
         * other bands down. The assumption here is that the other bands
         * came from the same region as the current one and no further
         * coalescing can be done on them since it's all been done
         * already... curStart is already in the right place.
         */
        if (pCurBox == pRegEnd)
          {
            curStart = prevStart;
          }
        else
          {
            do
              {
                *pPrevBox++ = *pCurBox++;
              }
            while (pCurBox != pRegEnd);
          }
            
      }
  }
  return curStart;
}

/*-
 *-----------------------------------------------------------------------
 * miRegionOp --
 *      Apply an operation to two regions. Called by miUnion, miInverse,
 *      miSubtract, miIntersect...
 *
 * Results:
 *      None.
 *
 * Side Effects:
 *      The new region is overwritten.
 *
 * Notes:
 *      The idea behind this function is to view the two regions as sets.
 *      Together they cover a rectangle of area that this function divides
 *      into horizontal bands where points are covered only by one region
 *      or by both. For the first case, the nonOverlapFunc is called with
 *      each the band and the band's upper and lower extents. For the
 *      second, the overlapFunc is called to process the entire band. It
 *      is responsible for clipping the rectangles in the band, though
 *      this function provides the boundaries.
 *      At the end of each band, the new region is coalesced, if possible,
 *      to reduce the number of rectangles in the region.
 *
 *-----------------------------------------------------------------------
 */
/* static void*/
static void
miRegionOp(GdkRegion *newReg,
           GdkRegion *reg1,
           GdkRegion *reg2,
           overlapFunc    overlapFn,            /* Function to call for over-
                                                 * lapping bands */
           nonOverlapFunc nonOverlap1Fn,        /* Function to call for non-
                                                 * overlapping bands in region
                                                 * 1 */
           nonOverlapFunc nonOverlap2Fn)        /* Function to call for non-
                                                 * overlapping bands in region
                                                 * 2 */
{
    GdkRegionBox *r1;                   /* Pointer into first region */
    GdkRegionBox *r2;                   /* Pointer into 2d region */
    GdkRegionBox *r1End;                /* End of 1st region */
    GdkRegionBox *r2End;                /* End of 2d region */
    int           ybot;                 /* Bottom of intersection */
    int           ytop;                 /* Top of intersection */
    GdkRegionBox *oldRects;             /* Old rects for newReg */
    int           prevBand;             /* Index of start of
                                         * previous band in newReg */
    int           curBand;              /* Index of start of current
                                         * band in newReg */
    GdkRegionBox *r1BandEnd;            /* End of current band in r1 */
    GdkRegionBox *r2BandEnd;            /* End of current band in r2 */
    int           top;                  /* Top of non-overlapping
                                         * band */
    int           bot;                  /* Bottom of non-overlapping
                                         * band */
    
    /*
     * Initialization:
     *  set r1, r2, r1End and r2End appropriately, preserve the important
     * parts of the destination region until the end in case it's one of
     * the two source regions, then mark the "new" region empty, allocating
     * another array of rectangles for it to use.
     */
    r1 = reg1->rects;
    r2 = reg2->rects;
    r1End = r1 + reg1->numRects;
    r2End = r2 + reg2->numRects;
    
    oldRects = newReg->rects;
    
    EMPTY_REGION(newReg);

    /*
     * Allocate a reasonable number of rectangles for the new region. The idea
     * is to allocate enough so the individual functions don't need to
     * reallocate and copy the array, which is time consuming, yet we don't
     * have to worry about using too much memory. I hope to be able to
     * nuke the Xrealloc() at the end of this function eventually.
     */
    newReg->size = MAX (reg1->numRects, reg2->numRects) * 2;
    newReg->rects = g_new (GdkRegionBox, newReg->size);
    
    /*
     * Initialize ybot and ytop.
     * In the upcoming loop, ybot and ytop serve different functions depending
     * on whether the band being handled is an overlapping or non-overlapping
     * band.
     *  In the case of a non-overlapping band (only one of the regions
     * has points in the band), ybot is the bottom of the most recent
     * intersection and thus clips the top of the rectangles in that band.
     * ytop is the top of the next intersection between the two regions and
     * serves to clip the bottom of the rectangles in the current band.
     *  For an overlapping band (where the two regions intersect), ytop clips
     * the top of the rectangles of both regions and ybot clips the bottoms.
     */
    if (reg1->extents.y1 < reg2->extents.y1)
      ybot = reg1->extents.y1;
    else
      ybot = reg2->extents.y1;
    
    /*
     * prevBand serves to mark the start of the previous band so rectangles
     * can be coalesced into larger rectangles. qv. miCoalesce, above.
     * In the beginning, there is no previous band, so prevBand == curBand
     * (curBand is set later on, of course, but the first band will always
     * start at index 0). prevBand and curBand must be indices because of
     * the possible expansion, and resultant moving, of the new region's
     * array of rectangles.
     */
    prevBand = 0;
    
    do
      {
        curBand = newReg->numRects;

        /*
         * This algorithm proceeds one source-band (as opposed to a
         * destination band, which is determined by where the two regions
         * intersect) at a time. r1BandEnd and r2BandEnd serve to mark the
         * rectangle after the last one in the current band for their
         * respective regions.
         */
        r1BandEnd = r1;
        while ((r1BandEnd != r1End) && (r1BandEnd->y1 == r1->y1))
          {
            r1BandEnd++;
          }
        
        r2BandEnd = r2;
        while ((r2BandEnd != r2End) && (r2BandEnd->y1 == r2->y1))
          {
            r2BandEnd++;
          }
        
        /*
         * First handle the band that doesn't intersect, if any.
         *
         * Note that attention is restricted to one band in the
         * non-intersecting region at once, so if a region has n
         * bands between the current position and the next place it overlaps
         * the other, this entire loop will be passed through n times.
         */
        if (r1->y1 < r2->y1)
          {
            top = MAX (r1->y1,ybot);
            bot = MIN (r1->y2,r2->y1);

            if ((top != bot) && (nonOverlap1Fn != (void (*)())NULL))
              {
                (* nonOverlap1Fn) (newReg, r1, r1BandEnd, top, bot);
              }

            ytop = r2->y1;
          }
        else if (r2->y1 < r1->y1)
          {
            top = MAX (r2->y1,ybot);
            bot = MIN (r2->y2,r1->y1);

            if ((top != bot) && (nonOverlap2Fn != (void (*)())NULL))
              {
                (* nonOverlap2Fn) (newReg, r2, r2BandEnd, top, bot);
              }

            ytop = r1->y1;
          }
        else
          {
            ytop = r1->y1;
          }

        /*
         * If any rectangles got added to the region, try and coalesce them
         * with rectangles from the previous band. Note we could just do
         * this test in miCoalesce, but some machines incur a not
         * inconsiderable cost for function calls, so...
         */
        if (newReg->numRects != curBand)
          {
            prevBand = miCoalesce (newReg, prevBand, curBand);
          }

        /*
         * Now see if we've hit an intersecting band. The two bands only
         * intersect if ybot > ytop
         */
        ybot = MIN (r1->y2, r2->y2);
        curBand = newReg->numRects;
        if (ybot > ytop)
          {
            (* overlapFn) (newReg, r1, r1BandEnd, r2, r2BandEnd, ytop, ybot);

          }
        
        if (newReg->numRects != curBand)
          {
            prevBand = miCoalesce (newReg, prevBand, curBand);
          }

        /*
         * If we've finished with a band (y2 == ybot) we skip forward
         * in the region to the next band.
         */
        if (r1->y2 == ybot)
          {
            r1 = r1BandEnd;
          }
        if (r2->y2 == ybot)
          {
            r2 = r2BandEnd;
          }
      } while ((r1 != r1End) && (r2 != r2End));

    /*
     * Deal with whichever region still has rectangles left.
     */
    curBand = newReg->numRects;
    if (r1 != r1End)
      {
        if (nonOverlap1Fn != (nonOverlapFunc )NULL)
          {
            do
              {
                r1BandEnd = r1;
                while ((r1BandEnd < r1End) && (r1BandEnd->y1 == r1->y1))
                  {
                    r1BandEnd++;
                  }
                (* nonOverlap1Fn) (newReg, r1, r1BandEnd,
                                     MAX (r1->y1,ybot), r1->y2);
                r1 = r1BandEnd;
              } while (r1 != r1End);
          }
      }
    else if ((r2 != r2End) && (nonOverlap2Fn != (nonOverlapFunc) NULL))
      {
        do
          {
            r2BandEnd = r2;
            while ((r2BandEnd < r2End) && (r2BandEnd->y1 == r2->y1))
              {
                r2BandEnd++;
              }
            (* nonOverlap2Fn) (newReg, r2, r2BandEnd,
                               MAX (r2->y1,ybot), r2->y2);
            r2 = r2BandEnd;
          } while (r2 != r2End);
      }

    if (newReg->numRects != curBand)
    {
      (void) miCoalesce (newReg, prevBand, curBand);
    }

    /*
     * A bit of cleanup. To keep regions from growing without bound,
     * we shrink the array of rectangles to match the new number of
     * rectangles in the region. This never goes to 0, however...
     *
     * Only do this stuff if the number of rectangles allocated is more than
     * twice the number of rectangles in the region (a simple optimization...).
     */
    if (newReg->numRects < (newReg->size >> 1))
      {
        if (REGION_NOT_EMPTY (newReg))
          {
            newReg->size = newReg->numRects;
            newReg->rects = g_renew (GdkRegionBox, newReg->rects, newReg->size);
          }
        else
          {
            /*
             * No point in doing the extra work involved in an Xrealloc if
             * the region is empty
             */
            newReg->size = 1;
            g_free (newReg->rects);
            newReg->rects = g_new (GdkRegionBox, 1);
          }
      }
    g_free (oldRects);
}

\f
/*======================================================================
 *          Region Union
 *====================================================================*/

/*-
 *-----------------------------------------------------------------------
 * miUnionNonO --
 *      Handle a non-overlapping band for the union operation. Just
 *      Adds the rectangles into the region. Doesn't have to check for
 *      subsumption or anything.
 *
 * Results:
 *      None.
 *
 * Side Effects:
 *      pReg->numRects is incremented and the final rectangles overwritten
 *      with the rectangles we're passed.
 *
 *-----------------------------------------------------------------------
 */
static void
miUnionNonO (GdkRegion    *pReg,
             GdkRegionBox *r,
             GdkRegionBox *rEnd,
             gint          y1,
             gint          y2)
{
  GdkRegionBox *pNextRect;

  pNextRect = &pReg->rects[pReg->numRects];

  assert(y1 < y2);

  while (r != rEnd)
    {
      assert(r->x1 < r->x2);
      MEMCHECK(pReg, pNextRect, pReg->rects);
      pNextRect->x1 = r->x1;
      pNextRect->y1 = y1;
      pNextRect->x2 = r->x2;
      pNextRect->y2 = y2;
      pReg->numRects += 1;
      pNextRect++;

      assert(pReg->numRects<=pReg->size);
      r++;
    }
}


/*-
 *-----------------------------------------------------------------------
 * miUnionO --
 *      Handle an overlapping band for the union operation. Picks the
 *      left-most rectangle each time and merges it into the region.
 *
 * Results:
 *      None.
 *
 * Side Effects:
 *      Rectangles are overwritten in pReg->rects and pReg->numRects will
 *      be changed.
 *
 *-----------------------------------------------------------------------
 */

/* static void*/
static void
miUnionO (GdkRegion *pReg,
          GdkRegionBox *r1,
          GdkRegionBox *r1End,
          GdkRegionBox *r2,
          GdkRegionBox *r2End,
          gint          y1,
          gint          y2)
{
  GdkRegionBox *        pNextRect;
    
  pNextRect = &pReg->rects[pReg->numRects];

#define MERGERECT(r)                                    \
    if ((pReg->numRects != 0) &&                        \
        (pNextRect[-1].y1 == y1) &&                     \
        (pNextRect[-1].y2 == y2) &&                     \
        (pNextRect[-1].x2 >= r->x1))                    \
      {                                                 \
        if (pNextRect[-1].x2 < r->x2)                   \
          {                                             \
            pNextRect[-1].x2 = r->x2;                   \
            assert(pNextRect[-1].x1<pNextRect[-1].x2);  \
          }                                             \
      }                                                 \
    else                                                \
      {                                                 \
        MEMCHECK(pReg, pNextRect, pReg->rects);         \
        pNextRect->y1 = y1;                             \
        pNextRect->y2 = y2;                             \
        pNextRect->x1 = r->x1;                          \
        pNextRect->x2 = r->x2;                          \
        pReg->numRects += 1;                            \
        pNextRect += 1;                                 \
      }                                                 \
    assert(pReg->numRects<=pReg->size);                 \
    r++;
    
    assert (y1<y2);
    while ((r1 != r1End) && (r2 != r2End))
    {
        if (r1->x1 < r2->x1)
        {
            MERGERECT(r1);
        }
        else
        {
            MERGERECT(r2);
        }
    }
    
    if (r1 != r1End)
    {
        do
        {
            MERGERECT(r1);
        } while (r1 != r1End);
    }
    else while (r2 != r2End)
    {
        MERGERECT(r2);
    }
}

void
gdk_region_union (GdkRegion *region,
                  GdkRegion *other)
{
  /*  checks all the simple cases */

    /*
     * region and other are the same or other is empty
     */
  if ((region == other) || (!(other->numRects)))
    return;

    /* 
     * region is empty
     */
  if (!(region->numRects))
    {
      miRegionCopy (region, other);
      return;
    }

  /*
     * region completely subsumes otehr
     */
  if ((region->numRects == 1) && 
      (region->extents.x1 <= other->extents.x1) &&
      (region->extents.y1 <= other->extents.y1) &&
      (region->extents.x2 >= other->extents.x2) &&
      (region->extents.y2 >= other->extents.y2))
    return;

  /*
     * other completely subsumes region
     */
  if ((other->numRects == 1) && 
      (other->extents.x1 <= region->extents.x1) &&
      (other->extents.y1 <= region->extents.y1) &&
      (other->extents.x2 >= region->extents.x2) &&
      (other->extents.y2 >= region->extents.y2))
    {
      miRegionCopy(region, other);
      return;
    }

  miRegionOp (region, region, other, miUnionO, 
              miUnionNonO, miUnionNonO);

  region->extents.x1 = MIN (region->extents.x1, other->extents.x1);
  region->extents.y1 = MIN (region->extents.y1, other->extents.y1);
  region->extents.x2 = MAX (region->extents.x2, other->extents.x2);
  region->extents.y2 = MAX (region->extents.y2, other->extents.y2);
}

\f
/*======================================================================
 *                Region Subtraction
 *====================================================================*/

/*-
 *-----------------------------------------------------------------------
 * miSubtractNonO --
 *      Deal with non-overlapping band for subtraction. Any parts from
 *      region 2 we discard. Anything from region 1 we add to the region.
 *
 * Results:
 *      None.
 *
 * Side Effects:
 *      pReg may be affected.
 *
 *-----------------------------------------------------------------------
 */
/* static void*/
static void
miSubtractNonO1 (GdkRegion    *pReg,
                 GdkRegionBox *r,
                 GdkRegionBox *rEnd,
                 gint          y1,
                 gint          y2)
{
  GdkRegionBox *        pNextRect;
        
  pNextRect = &pReg->rects[pReg->numRects];
        
  assert(y1<y2);

  while (r != rEnd)
    {
      assert (r->x1<r->x2);
      MEMCHECK (pReg, pNextRect, pReg->rects);
      pNextRect->x1 = r->x1;
      pNextRect->y1 = y1;
      pNextRect->x2 = r->x2;
      pNextRect->y2 = y2;
      pReg->numRects += 1;
      pNextRect++;

      assert (pReg->numRects <= pReg->size);

      r++;
    }
}

/*-
 *-----------------------------------------------------------------------
 * miSubtractO --
 *      Overlapping band subtraction. x1 is the left-most point not yet
 *      checked.
 *
 * Results:
 *      None.
 *
 * Side Effects:
 *      pReg may have rectangles added to it.
 *
 *-----------------------------------------------------------------------
 */
/* static void*/
static void
miSubtractO (GdkRegion    *pReg,
             GdkRegionBox *r1,
             GdkRegionBox *r1End,
             GdkRegionBox *r2,
             GdkRegionBox *r2End,
             gint          y1,
             gint          y2)
{
  GdkRegionBox *        pNextRect;
  int   x1;
    
  x1 = r1->x1;
    
  assert(y1<y2);
  pNextRect = &pReg->rects[pReg->numRects];

  while ((r1 != r1End) && (r2 != r2End))
    {
      if (r2->x2 <= x1)
        {
          /*
           * Subtrahend missed the boat: go to next subtrahend.
           */
          r2++;
        }
      else if (r2->x1 <= x1)
        {
          /*
           * Subtrahend preceeds minuend: nuke left edge of minuend.
           */
          x1 = r2->x2;
          if (x1 >= r1->x2)
            {
              /*
               * Minuend completely covered: advance to next minuend and
               * reset left fence to edge of new minuend.
               */
              r1++;
              if (r1 != r1End)
                x1 = r1->x1;
            }
          else
            {
              /*
               * Subtrahend now used up since it doesn't extend beyond
               * minuend
               */
              r2++;
            }
        }
      else if (r2->x1 < r1->x2)
        {
          /*
           * Left part of subtrahend covers part of minuend: add uncovered
           * part of minuend to region and skip to next subtrahend.
           */
          assert(x1<r2->x1);
          MEMCHECK(pReg, pNextRect, pReg->rects);
          pNextRect->x1 = x1;
          pNextRect->y1 = y1;
          pNextRect->x2 = r2->x1;
          pNextRect->y2 = y2;
          pReg->numRects += 1;
          pNextRect++;

          assert(pReg->numRects<=pReg->size);

          x1 = r2->x2;
          if (x1 >= r1->x2)
            {
              /*
               * Minuend used up: advance to new...
               */
              r1++;
              if (r1 != r1End)
                x1 = r1->x1;
            }
          else
            {
              /*
               * Subtrahend used up
               */
              r2++;
            }
        }
      else
        {
          /*
           * Minuend used up: add any remaining piece before advancing.
           */
          if (r1->x2 > x1)
            {
              MEMCHECK(pReg, pNextRect, pReg->rects);
              pNextRect->x1 = x1;
              pNextRect->y1 = y1;
              pNextRect->x2 = r1->x2;
              pNextRect->y2 = y2;
              pReg->numRects += 1;
              pNextRect++;
              assert(pReg->numRects<=pReg->size);
            }
          r1++;
          x1 = r1->x1;
        }
    }

  /*
     * Add remaining minuend rectangles to region.
     */
  while (r1 != r1End)
    {
      assert(x1<r1->x2);
      MEMCHECK(pReg, pNextRect, pReg->rects);
      pNextRect->x1 = x1;
      pNextRect->y1 = y1;
      pNextRect->x2 = r1->x2;
      pNextRect->y2 = y2;
      pReg->numRects += 1;
      pNextRect++;

      assert(pReg->numRects<=pReg->size);

      r1++;
      if (r1 != r1End)
        {
          x1 = r1->x1;
        }
    }
}
        
/*-
 *-----------------------------------------------------------------------
 * gdk_region_subtract --
 *      Subtract other from region and leave the result in region.
 *
 * Results:
 *      TRUE.
 *
 * Side Effects:
 *      region is overwritten.
 *
 *-----------------------------------------------------------------------
 */

void
gdk_region_subtract (GdkRegion *region,
                     GdkRegion *other)
{
  /* check for trivial reject */
  if ((!(region->numRects)) || (!(other->numRects)) ||
      (!EXTENTCHECK(&region->extents, &other->extents)))
    return;
 
  miRegionOp (region, region, other, miSubtractO,
              miSubtractNonO1, (nonOverlapFunc) NULL);

  /*
   * Can't alter region's extents before we call miRegionOp because miRegionOp
   * depends on the extents of those regions being the unaltered. Besides, this
   * way there's no checking against rectangles that will be nuked
   * due to coalescing, so we have to examine fewer rectangles.
   */
  miSetExtents (region);
}

void
gdk_region_xor (GdkRegion *sra,
                GdkRegion *srb)
{
  GdkRegion *trb;

  trb = gdk_region_copy (srb);

  gdk_region_subtract (trb, sra);
  gdk_region_subtract (sra, srb);

  gdk_region_union (sra,trb);
  
  gdk_region_destroy (trb);
}

/*
 * Check to see if the region is empty.  Assumes a region is passed 
 * as a parameter
 */
gboolean
gdk_region_empty (GdkRegion *r)
{
  if (r->numRects == 0)
    return TRUE;
  else
    return FALSE;
}

/*
 *      Check to see if two regions are equal   
 */
gboolean
gdk_region_equal (GdkRegion *r1,
                  GdkRegion *r2)
{
  int i;

  if (r1->numRects != r2->numRects) return FALSE;
  else if (r1->numRects == 0) return TRUE;
  else if (r1->extents.x1 != r2->extents.x1) return FALSE;
  else if (r1->extents.x2 != r2->extents.x2) return FALSE;
  else if (r1->extents.y1 != r2->extents.y1) return FALSE;
  else if (r1->extents.y2 != r2->extents.y2) return FALSE;
  else
    for(i=0; i < r1->numRects; i++ )
      {
        if (r1->rects[i].x1 != r2->rects[i].x1) return FALSE;
        else if (r1->rects[i].x2 != r2->rects[i].x2) return FALSE;
        else if (r1->rects[i].y1 != r2->rects[i].y1) return FALSE;
        else if (r1->rects[i].y2 != r2->rects[i].y2) return FALSE;
      }
  return TRUE;
}

gboolean
gdk_region_point_in (GdkRegion *region,
                     int        x,
                     int        y)
{
  int i;

  if (region->numRects == 0)
    return FALSE;
  if (!INBOX(region->extents, x, y))
    return FALSE;
  for (i=0; i<region->numRects; i++)
    {
      if (INBOX (region->rects[i], x, y))
        return TRUE;
    }
  return FALSE;
}

GdkOverlapType
gdk_region_rect_in (GdkRegion    *region,
                    GdkRectangle *rectangle)
{
  GdkRegionBox *pbox;
  GdkRegionBox *pboxEnd;
  GdkRegionBox  rect;
  GdkRegionBox *prect = &rect;
  gboolean      partIn, partOut;

  gint rx = rectangle->x;
  gint ry = rectangle->y;
  
  prect->x1 = rx;
  prect->y1 = ry;
  prect->x2 = rx + rectangle->width;
  prect->y2 = ry + rectangle->height;
    
    /* this is (just) a useful optimization */
  if ((region->numRects == 0) || !EXTENTCHECK (&region->extents, prect))
    return GDK_OVERLAP_RECTANGLE_OUT;

  partOut = FALSE;
  partIn = FALSE;

    /* can stop when both partOut and partIn are TRUE, or we reach prect->y2 */
  for (pbox = region->rects, pboxEnd = pbox + region->numRects;
       pbox < pboxEnd;
       pbox++)
    {

      if (pbox->y2 <= ry)
        continue;       /* getting up to speed or skipping remainder of band */

      if (pbox->y1 > ry)
        {
          partOut = TRUE;       /* missed part of rectangle above */
          if (partIn || (pbox->y1 >= prect->y2))
            break;
          ry = pbox->y1;        /* x guaranteed to be == prect->x1 */
        }

      if (pbox->x2 <= rx)
        continue;               /* not far enough over yet */

      if (pbox->x1 > rx)
        {
          partOut = TRUE;       /* missed part of rectangle to left */
          if (partIn)
            break;
        }

      if (pbox->x1 < prect->x2)
        {
          partIn = TRUE;        /* definitely overlap */
          if (partOut)
            break;
        }

      if (pbox->x2 >= prect->x2)
        {
          ry = pbox->y2;        /* finished with this band */
          if (ry >= prect->y2)
            break;
          rx = prect->x1;       /* reset x out to left again */
        }
      else
        {
          /*
           * Because boxes in a band are maximal width, if the first box
           * to overlap the rectangle doesn't completely cover it in that
           * band, the rectangle must be partially out, since some of it
           * will be uncovered in that band. partIn will have been set true
           * by now...
           */
          break;
        }

    }

  return (partIn ?
             ((ry < prect->y2) ?
              GDK_OVERLAP_RECTANGLE_PART : GDK_OVERLAP_RECTANGLE_IN) : 
          GDK_OVERLAP_RECTANGLE_OUT);
}