svn merge -r588:HEAD ^/branches/released .

1 files changed, 2197 insertions, 2264 deletions

diff --git a/xorg-server/mi/miwideline.c b/xorg-server/mi/miwideline.c
index e726d4260..18b82cdcb 100644
--- a/xorg-server/mi/miwideline.c
+++ b/xorg-server/mi/miwideline.c
@@ -1,2264 +1,2197 @@
-/*
-
-Copyright 1988, 1998  The Open Group
-
-Permission to use, copy, modify, distribute, and sell this software and its
-documentation for any purpose is hereby granted without fee, provided that
-the above copyright notice appear in all copies and that both that
-copyright notice and this permission notice appear in supporting
-documentation.
-
-The above copyright notice and this permission notice shall be included
-in all copies or substantial portions of the Software.
-
-THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
-OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
-MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
-IN NO EVENT SHALL THE OPEN GROUP BE LIABLE FOR ANY CLAIM, DAMAGES OR
-OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE,
-ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
-OTHER DEALINGS IN THE SOFTWARE.
-
-Except as contained in this notice, the name of The Open Group shall
-not be used in advertising or otherwise to promote the sale, use or
-other dealings in this Software without prior written authorization
-from The Open Group.
-
-*/
-
-/* Author:  Keith Packard, MIT X Consortium */
-
-/*
- * Mostly integer wideline code.  Uses a technique similar to
- * bresenham zero-width lines, except walks an X edge
- */
-
-#ifdef HAVE_DIX_CONFIG_H
-#include <dix-config.h>
-#endif
-
-#include <stdio.h>
-#ifdef _XOPEN_SOURCE
-#include <math.h>
-#else
-#define _XOPEN_SOURCE	/* to get prototype for hypot on some systems */
-#include <math.h>
-#undef _XOPEN_SOURCE
-#endif
-#ifdef _MSC_VER
-#define hypot _hypot
-#endif
-
-#include <X11/X.h>
-#include "windowstr.h"
-#include "gcstruct.h"
-#include "regionstr.h"
-#include "miwideline.h"
-#include "mi.h"
-
-/*
- * interface data to span-merging polygon filler
- */
-
-typedef struct _SpanData {
-    SpanGroup	fgGroup, bgGroup;
-} SpanDataRec, *SpanDataPtr;
-
-static void
-AppendSpanGroup(GCPtr pGC, unsigned long pixel, Spans *spanPtr, SpanDataPtr spanData)
-{
-    SpanGroup *group, *othergroup = NULL;
-    if (pixel == pGC->fgPixel)
-    {
-	group = &spanData->fgGroup;
-	if (pGC->lineStyle == LineDoubleDash)
-	    othergroup = &spanData->bgGroup;
-    }
-    else
-    {
-	group = &spanData->bgGroup;
-	othergroup = &spanData->fgGroup;
-    }
-    miAppendSpans (group, othergroup, spanPtr);
-}
-
-
-static void miLineArc(DrawablePtr pDraw, GCPtr pGC,
-		      unsigned long pixel, SpanDataPtr spanData,
-		      LineFacePtr leftFace,
-		      LineFacePtr rightFace,
-		      double xorg, double yorg, Bool isInt);
-
-
-/*
- * spans-based polygon filler
- */
-
-static void
-miFillPolyHelper (DrawablePtr pDrawable, GCPtr pGC, unsigned long pixel,
-		  SpanDataPtr spanData, int y, int overall_height,
-		  PolyEdgePtr left, PolyEdgePtr right,
-		  int left_count, int right_count)
-{
-    int left_x = 0, left_e = 0;
-    int	left_stepx = 0;
-    int	left_signdx = 0;
-    int	left_dy = 0, left_dx = 0;
-
-    int right_x = 0, right_e = 0;
-    int	right_stepx = 0;
-    int	right_signdx = 0;
-    int	right_dy = 0, right_dx = 0;
-
-    int	height = 0;
-    int	left_height = 0, right_height = 0;
-
-    DDXPointPtr ppt;
-    DDXPointPtr pptInit = NULL;
-    int 	*pwidth;
-    int 	*pwidthInit = NULL;
-    XID		oldPixel;
-    int		xorg;
-    Spans	spanRec;
-
-    left_height = 0;
-    right_height = 0;
-    
-    if (!spanData)
-    {
-    	pptInit = xalloc (overall_height * sizeof(*ppt));
-    	if (!pptInit)
-	    return;
-    	pwidthInit = xalloc (overall_height * sizeof(*pwidth));
-    	if (!pwidthInit)
-    	{
-	    xfree (pptInit);
-	    return;
-    	}
-	ppt = pptInit;
-	pwidth = pwidthInit;
-    	oldPixel = pGC->fgPixel;
-    	if (pixel != oldPixel)
-    	{
-	    XID tmpPixel = (XID)pixel;
-    	    DoChangeGC (pGC, GCForeground, &tmpPixel, FALSE);
-    	    ValidateGC (pDrawable, pGC);
-    	}
-    }
-    else
-    {
-	spanRec.points = xalloc (overall_height * sizeof (*ppt));
-	if (!spanRec.points)
-	    return;
-	spanRec.widths = xalloc (overall_height * sizeof (int));
-	if (!spanRec.widths)
-	{
-	    xfree (spanRec.points);
-	    return;
-	}
-	ppt = spanRec.points;
-	pwidth = spanRec.widths;
-    }
-
-    xorg = 0;
-    if (pGC->miTranslate)
-    {
-	y += pDrawable->y;
-	xorg = pDrawable->x;
-    }
-    while ((left_count || left_height) &&
-	   (right_count || right_height))
-    {
-	if (!left_height && left_count)
-	{
-	    left_height = left->height;
-	    left_x = left->x;
-	    left_stepx = left->stepx;
-	    left_signdx = left->signdx;
-	    left_e = left->e;
-	    left_dy = left->dy;
-	    left_dx = left->dx;
-	    --left_count;
-	    ++left;
-	}
-
-	if (!right_height && right_count)
-	{
-	    right_height = right->height;
-	    right_x = right->x;
-	    right_stepx = right->stepx;
-	    right_signdx = right->signdx;
-	    right_e = right->e;
-	    right_dy = right->dy;
-	    right_dx = right->dx;
-	    --right_count;
-	    ++right;
-	}
-
-	height = left_height;
-	if (height > right_height)
-	    height = right_height;
-
-	left_height -= height;
-	right_height -= height;
-
-	while (--height >= 0)
-	{
-	    if (right_x >= left_x)
-	    {
-		ppt->y = y;
-		ppt->x = left_x + xorg;
-		ppt++;
-		*pwidth++ = right_x - left_x + 1;
-	    }
-	    y++;
-
-	    left_x += left_stepx;
-	    left_e += left_dx;
-	    if (left_e > 0)
-	    {
-		left_x += left_signdx;
-		left_e -= left_dy;
-	    }
-
-	    right_x += right_stepx;
-	    right_e += right_dx;
-	    if (right_e > 0)
-	    {
-		right_x += right_signdx;
-		right_e -= right_dy;
-	    }
-	}
-    }
-    if (!spanData)
-    {
-    	(*pGC->ops->FillSpans) (pDrawable, pGC, ppt - pptInit, pptInit, pwidthInit, TRUE);
-    	xfree (pwidthInit);
-    	xfree (pptInit);
-    	if (pixel != oldPixel)
-    	{
-	    DoChangeGC (pGC, GCForeground, &oldPixel, FALSE);
-	    ValidateGC (pDrawable, pGC);
-    	}
-    }
-    else
-    {
-	spanRec.count = ppt - spanRec.points;
-	AppendSpanGroup (pGC, pixel, &spanRec, spanData);
-    }
-}
-
-static void
-miFillRectPolyHelper (
-    DrawablePtr	pDrawable,
-    GCPtr	pGC,
-    unsigned long   pixel,
-    SpanDataPtr	spanData,
-    int		x,
-    int		y,
-    int		w,
-    int		h)
-{
-    DDXPointPtr ppt;
-    int 	*pwidth;
-    XID		oldPixel;
-    Spans	spanRec;
-    xRectangle  rect;
-
-    if (!spanData)
-    {
-	rect.x = x;
-	rect.y = y;
-	rect.width = w;
-	rect.height = h;
-    	oldPixel = pGC->fgPixel;
-    	if (pixel != oldPixel)
-    	{
-	    XID tmpPixel = (XID)pixel;
-    	    DoChangeGC (pGC, GCForeground, &tmpPixel, FALSE);
-    	    ValidateGC (pDrawable, pGC);
-    	}
-	(*pGC->ops->PolyFillRect) (pDrawable, pGC, 1, &rect);
-    	if (pixel != oldPixel)
-    	{
-	    DoChangeGC (pGC, GCForeground, &oldPixel, FALSE);
-	    ValidateGC (pDrawable, pGC);
-    	}
-    }
-    else
-    {
-	spanRec.points = xalloc (h * sizeof (*ppt));
-	if (!spanRec.points)
-	    return;
-	spanRec.widths = xalloc (h * sizeof (int));
-	if (!spanRec.widths)
-	{
-	    xfree (spanRec.points);
-	    return;
-	}
-	ppt = spanRec.points;
-	pwidth = spanRec.widths;
-
-    	if (pGC->miTranslate)
-    	{
-	    y += pDrawable->y;
-	    x += pDrawable->x;
-    	}
-	while (h--)
-	{
-	    ppt->x = x;
-	    ppt->y = y;
-	    ppt++;
-	    *pwidth++ = w;
-	    y++;
-	}
-	spanRec.count = ppt - spanRec.points;
-	AppendSpanGroup (pGC, pixel, &spanRec, spanData);
-    }
-}
-
-/* static */ int
-miPolyBuildEdge (
-    double	x0,
-    double	y0,
-    double	k,  /* x0 * dy - y0 * dx */
-    int		dx,
-    int		dy,
-    int		xi,
-    int		yi,
-    int		left,
-    PolyEdgePtr edge)
-{
-    int	    x, y, e;
-    int	    xady;
-
-    if (dy < 0)
-    {
-	dy = -dy;
-	dx = -dx;
-	k = -k;
-    }
-
-#ifdef NOTDEF
-    {
-	double	realk, kerror;
-    	realk = x0 * dy - y0 * dx;
-    	kerror = Fabs (realk - k);
-    	if (kerror > .1)
-	    printf ("realk: %g k: %g\n", realk, k);
-    }
-#endif
-    y = ICEIL (y0);
-    xady = ICEIL (k) + y * dx;
-
-    if (xady <= 0)
-	x = - (-xady / dy) - 1;
-    else
-	x = (xady - 1) / dy;
-
-    e = xady - x * dy;
-
-    if (dx >= 0)
-    {
-	edge->signdx = 1;
-	edge->stepx = dx / dy;
-	edge->dx = dx % dy;
-    }
-    else
-    {
-	edge->signdx = -1;
-	edge->stepx = - (-dx / dy);
-	edge->dx = -dx % dy;
-	e = dy - e + 1;
-    }
-    edge->dy = dy;
-    edge->x = x + left + xi;
-    edge->e = e - dy;	/* bias to compare against 0 instead of dy */
-    return y + yi;
-}
-
-#define StepAround(v, incr, max) (((v) + (incr) < 0) ? (max - 1) : ((v) + (incr) == max) ? 0 : ((v) + (incr)))
-
-/* static */ int
-miPolyBuildPoly (
-    PolyVertexPtr	vertices,
-    PolySlopePtr	slopes,
-    int			count,
-    int			xi,
-    int			yi,
-    PolyEdgePtr		left,
-    PolyEdgePtr		right,
-    int			*pnleft,
-    int			*pnright,
-    int			*h)
-{
-    int 	top, bottom;
-    double 	miny, maxy;
-    int 	i;
-    int		j;
-    int		clockwise;
-    int		slopeoff;
-    int 	s;
-    int 	nright, nleft;
-    int	   	y, lasty = 0, bottomy, topy = 0;
-
-    /* find the top of the polygon */
-    maxy = miny = vertices[0].y;
-    bottom = top = 0;
-    for (i = 1; i < count; i++)
-    {
-	if (vertices[i].y < miny)
-	{
-	    top = i;
-	    miny = vertices[i].y;
-	}
-	if (vertices[i].y >= maxy)
-	{
-	    bottom = i;
-	    maxy = vertices[i].y;
-	}
-    }
-    clockwise = 1;
-    slopeoff = 0;
-
-    i = top;
-    j = StepAround (top, -1, count);
-
-    if (slopes[j].dy * slopes[i].dx > slopes[i].dy * slopes[j].dx)
-    {
-	clockwise = -1;
-	slopeoff = -1;
-    }
-
-    bottomy = ICEIL (maxy) + yi;
-
-    nright = 0;
-
-    s = StepAround (top, slopeoff, count);
-    i = top;
-    while (i != bottom)
-    {
-	if (slopes[s].dy != 0)
-	{
-	    y = miPolyBuildEdge (vertices[i].x, vertices[i].y,
-			slopes[s].k,
-			slopes[s].dx, slopes[s].dy,
-			xi, yi, 0,
-			&right[nright]);
-	    if (nright != 0)
-	    	right[nright-1].height = y - lasty;
-	    else
-	    	topy = y;
-	    nright++;
-	    lasty = y;
-	}
-
-	i = StepAround (i, clockwise, count);
-	s = StepAround (s, clockwise, count);
-    }
-    if (nright != 0)
-	right[nright-1].height = bottomy - lasty;
-
-    if (slopeoff == 0)
-	slopeoff = -1;
-    else
-	slopeoff = 0;
-
-    nleft = 0;
-    s = StepAround (top, slopeoff, count);
-    i = top;
-    while (i != bottom)
-    {
-	if (slopes[s].dy != 0)
-	{
-	    y = miPolyBuildEdge (vertices[i].x, vertices[i].y,
-			   slopes[s].k,
-		       	   slopes[s].dx,  slopes[s].dy, xi, yi, 1,
-		       	   &left[nleft]);
-    
-	    if (nleft != 0)
-	    	left[nleft-1].height = y - lasty;
-	    nleft++;
-	    lasty = y;
-	}
-	i = StepAround (i, -clockwise, count);
-	s = StepAround (s, -clockwise, count);
-    }
-    if (nleft != 0)
-	left[nleft-1].height = bottomy - lasty;
-    *pnleft = nleft;
-    *pnright = nright;
-    *h = bottomy - topy;
-    return topy;
-}
-
-static void
-miLineOnePoint (
-    DrawablePtr	    pDrawable,
-    GCPtr	    pGC,
-    unsigned long   pixel,
-    SpanDataPtr	    spanData,
-    int		    x,
-    int		    y)
-{
-    DDXPointRec pt;
-    int	    wid;
-    unsigned long	oldPixel;
-
-    MILINESETPIXEL (pDrawable, pGC, pixel, oldPixel);
-    if (pGC->fillStyle == FillSolid)
-    {
-	pt.x = x;
-	pt.y = y;
-	(*pGC->ops->PolyPoint) (pDrawable, pGC, CoordModeOrigin, 1, &pt);
-    }
-    else
-    {
-	wid = 1;
-	if (pGC->miTranslate) 
-	{
-	    x += pDrawable->x;
-	    y += pDrawable->y;
-	}
-	pt.x = x;
-	pt.y = y;
-	(*pGC->ops->FillSpans) (pDrawable, pGC, 1, &pt, &wid, TRUE);
-    }
-    MILINERESETPIXEL (pDrawable, pGC, pixel, oldPixel);
-}
-
-static void
-miLineJoin (
-    DrawablePtr 	pDrawable,
-    GCPtr		pGC,
-    unsigned long	pixel,
-    SpanDataPtr		spanData,
-    LineFacePtr		pLeft,
-    LineFacePtr 	pRight)
-{
-    double	    mx = 0, my = 0;
-    double	    denom = 0.0;
-    PolyVertexRec   vertices[4];
-    PolySlopeRec    slopes[4];
-    int		    edgecount;
-    PolyEdgeRec	    left[4], right[4];
-    int		    nleft, nright;
-    int		    y, height;
-    int		    swapslopes;
-    int		    joinStyle = pGC->joinStyle;
-    int		    lw = pGC->lineWidth;
-
-    if (lw == 1 && !spanData) {
-	/* See if one of the lines will draw the joining pixel */
-	if (pLeft->dx > 0 || (pLeft->dx == 0 && pLeft->dy > 0))
-	    return;
-	if (pRight->dx > 0 || (pRight->dx == 0 && pRight->dy > 0))
-	    return;
-	if (joinStyle != JoinRound) {
-    	    denom = - pLeft->dx * (double)pRight->dy + pRight->dx * (double)pLeft->dy;
-    	    if (denom == 0)
-	    	return;	/* no join to draw */
-	}
-	if (joinStyle != JoinMiter) {
-	    miLineOnePoint (pDrawable, pGC, pixel, spanData, pLeft->x, pLeft->y);
-	    return;
-	}
-    } else {
-    	if (joinStyle == JoinRound)
-    	{
-	    miLineArc(pDrawable, pGC, pixel, spanData,
-		      pLeft, pRight,
-		      (double)0.0, (double)0.0, TRUE);
-	    return;
-    	}
-    	denom = - pLeft->dx * (double)pRight->dy + pRight->dx * (double)pLeft->dy;
-    	if (denom == 0.0)
-	    return;	/* no join to draw */
-    }
-
-    swapslopes = 0;
-    if (denom > 0)
-    {
-	pLeft->xa = -pLeft->xa;
-	pLeft->ya = -pLeft->ya;
-	pLeft->dx = -pLeft->dx;
-	pLeft->dy = -pLeft->dy;
-    }
-    else
-    {
-	swapslopes = 1;
-	pRight->xa = -pRight->xa;
-	pRight->ya = -pRight->ya;
-	pRight->dx = -pRight->dx;
-	pRight->dy = -pRight->dy;
-    }
-
-    vertices[0].x = pRight->xa;
-    vertices[0].y = pRight->ya;
-    slopes[0].dx = -pRight->dy;
-    slopes[0].dy =  pRight->dx;
-    slopes[0].k = 0;
-
-    vertices[1].x = 0;
-    vertices[1].y = 0;
-    slopes[1].dx =  pLeft->dy;
-    slopes[1].dy = -pLeft->dx;
-    slopes[1].k = 0;
-
-    vertices[2].x = pLeft->xa;
-    vertices[2].y = pLeft->ya;
-
-    if (joinStyle == JoinMiter)
-    {
-    	my = (pLeft->dy  * (pRight->xa * pRight->dy - pRight->ya * pRight->dx) -
-              pRight->dy * (pLeft->xa  * pLeft->dy  - pLeft->ya  * pLeft->dx )) /
-	      denom;
-    	if (pLeft->dy != 0)
-    	{
-	    mx = pLeft->xa + (my - pLeft->ya) *
-			    (double) pLeft->dx / (double) pLeft->dy;
-    	}
-    	else
-    	{
-	    mx = pRight->xa + (my - pRight->ya) *
-			    (double) pRight->dx / (double) pRight->dy;
-    	}
-	/* check miter limit */
-	if ((mx * mx + my * my) * 4 > SQSECANT * lw * lw)
-	    joinStyle = JoinBevel;
-    }
-
-    if (joinStyle == JoinMiter)
-    {
-	slopes[2].dx = pLeft->dx;
-	slopes[2].dy = pLeft->dy;
-	slopes[2].k =  pLeft->k;
-	if (swapslopes)
-	{
-	    slopes[2].dx = -slopes[2].dx;
-	    slopes[2].dy = -slopes[2].dy;
-	    slopes[2].k  = -slopes[2].k;
-	}
-	vertices[3].x = mx;
-	vertices[3].y = my;
-	slopes[3].dx = pRight->dx;
-	slopes[3].dy = pRight->dy;
-	slopes[3].k  = pRight->k;
-	if (swapslopes)
-	{
-	    slopes[3].dx = -slopes[3].dx;
-	    slopes[3].dy = -slopes[3].dy;
-	    slopes[3].k  = -slopes[3].k;
-	}
-	edgecount = 4;
-    }
-    else
-    {
-	double	scale, dx, dy, adx, ady;
-
-	adx = dx = pRight->xa - pLeft->xa;
-	ady = dy = pRight->ya - pLeft->ya;
-	if (adx < 0)
-	    adx = -adx;
-	if (ady < 0)
-	    ady = -ady;
-	scale = ady;
-	if (adx > ady)
-	    scale = adx;
-	slopes[2].dx = (dx * 65536) / scale;
-	slopes[2].dy = (dy * 65536) / scale;
-	slopes[2].k = ((pLeft->xa + pRight->xa) * slopes[2].dy -
-		       (pLeft->ya + pRight->ya) * slopes[2].dx) / 2.0;
-	edgecount = 3;
-    }
-
-    y = miPolyBuildPoly (vertices, slopes, edgecount, pLeft->x, pLeft->y,
-		   left, right, &nleft, &nright, &height);
-    miFillPolyHelper (pDrawable, pGC, pixel, spanData, y, height, left, right, nleft, nright);
-}
-
-static int
-miLineArcI (
-    DrawablePtr	    pDraw,
-    GCPtr	    pGC,
-    int		    xorg,
-    int		    yorg,
-    DDXPointPtr	    points,
-    int		    *widths)
-{
-    DDXPointPtr tpts, bpts;
-    int *twids, *bwids;
-    int x, y, e, ex, slw;
-
-    tpts = points;
-    twids = widths;
-    if (pGC->miTranslate)
-    {
-	xorg += pDraw->x;
-	yorg += pDraw->y;
-    }
-    slw = pGC->lineWidth;
-    if (slw == 1)
-    {
-	tpts->x = xorg;
-	tpts->y = yorg;
-	*twids = 1;
-	return 1;
-    }
-    bpts = tpts + slw;
-    bwids = twids + slw;
-    y = (slw >> 1) + 1;
-    if (slw & 1)
-	e = - ((y << 2) + 3);
-    else
-	e = - (y << 3);
-    ex = -4;
-    x = 0;
-    while (y)
-    {
-	e += (y << 3) - 4;
-	while (e >= 0)
-	{
-	    x++;
-	    e += (ex = -((x << 3) + 4));
-	}
-	y--;
-	slw = (x << 1) + 1;
-	if ((e == ex) && (slw > 1))
-	    slw--;
-	tpts->x = xorg - x;
-	tpts->y = yorg - y;
-	tpts++;
-	*twids++ = slw;
-	if ((y != 0) && ((slw > 1) || (e != ex)))
-	{
-	    bpts--;
-	    bpts->x = xorg - x;
-	    bpts->y = yorg + y;
-	    *--bwids = slw;
-	}
-    }
-    return (pGC->lineWidth);
-}
-
-#define CLIPSTEPEDGE(edgey,edge,edgeleft) \
-    if (ybase == edgey) \
-    { \
-	if (edgeleft) \
-	{ \
-	    if (edge->x > xcl) \
-		xcl = edge->x; \
-	} \
-	else \
-	{ \
-	    if (edge->x < xcr) \
-		xcr = edge->x; \
-	} \
-	edgey++; \
-	edge->x += edge->stepx; \
-	edge->e += edge->dx; \
-	if (edge->e > 0) \
-	{ \
-	    edge->x += edge->signdx; \
-	    edge->e -= edge->dy; \
-	} \
-    }
-
-static int
-miLineArcD (
-    DrawablePtr	    pDraw,
-    GCPtr	    pGC,
-    double	    xorg,
-    double	    yorg,
-    DDXPointPtr	    points,
-    int		    *widths,
-    PolyEdgePtr	    edge1,
-    int		    edgey1,
-    Bool	    edgeleft1,
-    PolyEdgePtr	    edge2,
-    int		    edgey2,
-    Bool	    edgeleft2)
-{
-    DDXPointPtr pts;
-    int *wids;
-    double radius, x0, y0, el, er, yk, xlk, xrk, k;
-    int xbase, ybase, y, boty, xl, xr, xcl, xcr;
-    int ymin, ymax;
-    Bool edge1IsMin, edge2IsMin;
-    int ymin1, ymin2;
-
-    pts = points;
-    wids = widths;
-    xbase = floor(xorg);
-    x0 = xorg - xbase;
-    ybase = ICEIL (yorg);
-    y0 = yorg - ybase;
-    if (pGC->miTranslate)
-    {
-	xbase += pDraw->x;
-	ybase += pDraw->y;
-	edge1->x += pDraw->x;
-	edge2->x += pDraw->x;
-	edgey1 += pDraw->y;
-	edgey2 += pDraw->y;
-    }
-    xlk = x0 + x0 + 1.0;
-    xrk = x0 + x0 - 1.0;
-    yk = y0 + y0 - 1.0;
-    radius = ((double)pGC->lineWidth) / 2.0;
-    y = floor(radius - y0 + 1.0);
-    ybase -= y;
-    ymin = ybase;
-    ymax = 65536;
-    edge1IsMin = FALSE;
-    ymin1 = edgey1;
-    if (edge1->dy >= 0)
-    {
-    	if (!edge1->dy)
-    	{
-	    if (edgeleft1)
-	    	edge1IsMin = TRUE;
-	    else
-	    	ymax = edgey1;
-	    edgey1 = 65536;
-    	}
-    	else
-    	{
-	    if ((edge1->signdx < 0) == edgeleft1)
-	    	edge1IsMin = TRUE;
-    	}
-    }
-    edge2IsMin = FALSE;
-    ymin2 = edgey2;
-    if (edge2->dy >= 0)
-    {
-    	if (!edge2->dy)
-    	{
-	    if (edgeleft2)
-	    	edge2IsMin = TRUE;
-	    else
-	    	ymax = edgey2;
-	    edgey2 = 65536;
-    	}
-    	else
-    	{
-	    if ((edge2->signdx < 0) == edgeleft2)
-	    	edge2IsMin = TRUE;
-    	}
-    }
-    if (edge1IsMin)
-    {
-	ymin = ymin1;
-	if (edge2IsMin && ymin1 > ymin2)
-	    ymin = ymin2;
-    } else if (edge2IsMin)
-	ymin = ymin2;
-    el = radius * radius - ((y + y0) * (y + y0)) - (x0 * x0);
-    er = el + xrk;
-    xl = 1;
-    xr = 0;
-    if (x0 < 0.5)
-    {
-	xl = 0;
-	el -= xlk;
-    }
-    boty = (y0 < -0.5) ? 1 : 0;
-    if (ybase + y - boty > ymax)
-	boty = ymax - ybase - y;
-    while (y > boty)
-    {
-	k = (y << 1) + yk;
-	er += k;
-	while (er > 0.0)
-	{
-	    xr++;
-	    er += xrk - (xr << 1);
-	}
-	el += k;
-	while (el >= 0.0)
-	{
-	    xl--;
-	    el += (xl << 1) - xlk;
-	}
-	y--;
-	ybase++;
-	if (ybase < ymin)
-	    continue;
-	xcl = xl + xbase;
-	xcr = xr + xbase;
-	CLIPSTEPEDGE(edgey1, edge1, edgeleft1);
-	CLIPSTEPEDGE(edgey2, edge2, edgeleft2);
-	if (xcr >= xcl)
-	{
-	    pts->x = xcl;
-	    pts->y = ybase;
-	    pts++;
-	    *wids++ = xcr - xcl + 1;
-	}
-    }
-    er = xrk - (xr << 1) - er;
-    el = (xl << 1) - xlk - el;
-    boty = floor(-y0 - radius + 1.0);
-    if (ybase + y - boty > ymax)
-	boty = ymax - ybase - y;
-    while (y > boty)
-    {
-	k = (y << 1) + yk;
-	er -= k;
-	while ((er >= 0.0) && (xr >= 0))
-	{
-	    xr--;
-	    er += xrk - (xr << 1);
-	}
-	el -= k;
-	while ((el > 0.0) && (xl <= 0))
-	{
-	    xl++;
-	    el += (xl << 1) - xlk;
-	}
-	y--;
-	ybase++;
-	if (ybase < ymin)
-	    continue;
-	xcl = xl + xbase;
-	xcr = xr + xbase;
-	CLIPSTEPEDGE(edgey1, edge1, edgeleft1);
-	CLIPSTEPEDGE(edgey2, edge2, edgeleft2);
-	if (xcr >= xcl)
-	{
-	    pts->x = xcl;
-	    pts->y = ybase;
-	    pts++;
-	    *wids++ = xcr - xcl + 1;
-	}
-    }
-    return (pts - points);
-}
-
-static int
-miRoundJoinFace (LineFacePtr face, PolyEdgePtr edge, Bool *leftEdge)
-{
-    int	    y;
-    int	    dx, dy;
-    double  xa, ya;
-    Bool	left;
-
-    dx = -face->dy;
-    dy = face->dx;
-    xa = face->xa;
-    ya = face->ya;
-    left = 1;
-    if (ya > 0)
-    {
-	ya = 0.0;
-	xa = 0.0;
-    }
-    if (dy < 0 || (dy == 0 && dx > 0))
-    {
-	dx = -dx;
-	dy = -dy;
-	left = !left;
-    }
-    if (dx == 0 && dy == 0)
-	dy = 1;
-    if (dy == 0)
-    {
-	y = ICEIL (face->ya) + face->y;
-	edge->x = -32767;
-	edge->stepx = 0;
-	edge->signdx = 0;
-	edge->e = -1;
-	edge->dy = 0;
-	edge->dx = 0;
-	edge->height = 0;
-    }
-    else
-    {
-	y = miPolyBuildEdge (xa, ya, 0.0, dx, dy, face->x, face->y, !left, edge);
-	edge->height = 32767;
-    }
-    *leftEdge = !left;
-    return y;
-}
-
-void
-miRoundJoinClip (LineFacePtr pLeft, LineFacePtr pRight,
-		 PolyEdgePtr edge1, PolyEdgePtr edge2,
-		 int *y1, int *y2, Bool *left1, Bool *left2)
-{
-    double	denom;
-
-    denom = - pLeft->dx * (double)pRight->dy + pRight->dx * (double)pLeft->dy;
-
-    if (denom >= 0)
-    {
-	pLeft->xa = -pLeft->xa;
-	pLeft->ya = -pLeft->ya;
-    }
-    else
-    {
-	pRight->xa = -pRight->xa;
-	pRight->ya = -pRight->ya;
-    }
-    *y1 = miRoundJoinFace (pLeft, edge1, left1);
-    *y2 = miRoundJoinFace (pRight, edge2, left2);
-}
-
-int
-miRoundCapClip (LineFacePtr face, Bool isInt, PolyEdgePtr edge, Bool *leftEdge)
-{
-    int		y;
-    int 	dx, dy;
-    double	xa, ya, k;
-    Bool	left;
-
-    dx = -face->dy;
-    dy = face->dx;
-    xa = face->xa;
-    ya = face->ya;
-    k = 0.0;
-    if (!isInt)
-	k = face->k;
-    left = 1;
-    if (dy < 0 || (dy == 0 && dx > 0))
-    {
-	dx = -dx;
-	dy = -dy;
-	xa = -xa;
-	ya = -ya;
-	left = !left;
-    }
-    if (dx == 0 && dy == 0)
-	dy = 1;
-    if (dy == 0)
-    {
-	y = ICEIL (face->ya) + face->y;
-	edge->x = -32767;
-	edge->stepx = 0;
-	edge->signdx = 0;
-	edge->e = -1;
-	edge->dy = 0;
-	edge->dx = 0;
-	edge->height = 0;
-    }
-    else
-    {
-	y = miPolyBuildEdge (xa, ya, k, dx, dy, face->x, face->y, !left, edge);
-	edge->height = 32767;
-    }
-    *leftEdge = !left;
-    return y;
-}
-
-static void
-miLineArc (
-    DrawablePtr		pDraw,
-    GCPtr  		pGC,
-    unsigned long	pixel,
-    SpanDataPtr		spanData,
-    LineFacePtr		leftFace,
-    LineFacePtr 	rightFace,
-    double	    	xorg,
-    double          	yorg,
-    Bool	    	isInt)
-{
-    DDXPointPtr points;
-    int *widths;
-    int xorgi = 0, yorgi = 0;
-    XID		oldPixel;
-    Spans spanRec;
-    int n;
-    PolyEdgeRec	edge1, edge2;
-    int		edgey1, edgey2;
-    Bool	edgeleft1, edgeleft2;
-
-    if (isInt)
-    {
-	xorgi = leftFace ? leftFace->x : rightFace->x;
-	yorgi = leftFace ? leftFace->y : rightFace->y;
-    }
-    edgey1 = 65536;
-    edgey2 = 65536;
-    edge1.x = 0; /* not used, keep memory checkers happy */
-    edge1.dy = -1;
-    edge2.x = 0; /* not used, keep memory checkers happy */
-    edge2.dy = -1;
-    edgeleft1 = FALSE;
-    edgeleft2 = FALSE;
-    if ((pGC->lineStyle != LineSolid || pGC->lineWidth > 2) &&
-	((pGC->capStyle == CapRound && pGC->joinStyle != JoinRound) ||
-	 (pGC->joinStyle == JoinRound && pGC->capStyle == CapButt)))
-    {
-	if (isInt)
-	{
-	    xorg = (double) xorgi;
-	    yorg = (double) yorgi;
-	}
-	if (leftFace && rightFace)
-	{
-	    miRoundJoinClip (leftFace, rightFace, &edge1, &edge2,
-			     &edgey1, &edgey2, &edgeleft1, &edgeleft2);
-	}
-	else if (leftFace)
-	{
-	    edgey1 = miRoundCapClip (leftFace, isInt, &edge1, &edgeleft1);
-	}
-	else if (rightFace)
-	{
-	    edgey2 = miRoundCapClip (rightFace, isInt, &edge2, &edgeleft2);
-	}
-	isInt = FALSE;
-    }
-    if (!spanData)
-    {
-    	points = xalloc(sizeof(DDXPointRec) * pGC->lineWidth);
-    	if (!points)
-	    return;
-    	widths = xalloc(sizeof(int) * pGC->lineWidth);
-    	if (!widths)
-    	{
-	    xfree(points);
-	    return;
-    	}
-    	oldPixel = pGC->fgPixel;
-    	if (pixel != oldPixel)
-    	{
-	    XID tmpPixel = (XID)pixel;
-	    DoChangeGC(pGC, GCForeground, &tmpPixel, FALSE);
-	    ValidateGC (pDraw, pGC);
-    	}
-    }
-    else
-    {
-	points = xalloc (pGC->lineWidth * sizeof (DDXPointRec));
-	if (!points)
-	    return;
-	widths = xalloc (pGC->lineWidth * sizeof (int));
-	if (!widths)
-	{
-	    xfree (points);
-	    return;
-	}
-	spanRec.points = points;
-	spanRec.widths = widths;
-    }
-    if (isInt)
-	n = miLineArcI(pDraw, pGC, xorgi, yorgi, points, widths);
-    else
-	n = miLineArcD(pDraw, pGC, xorg, yorg, points, widths,
-		       &edge1, edgey1, edgeleft1,
-		       &edge2, edgey2, edgeleft2);
-
-    if (!spanData)
-    {
-    	(*pGC->ops->FillSpans)(pDraw, pGC, n, points, widths, TRUE);
-    	xfree(widths);
-    	xfree(points);
-    	if (pixel != oldPixel)
-    	{
-	    DoChangeGC(pGC, GCForeground, &oldPixel, FALSE);
-	    ValidateGC (pDraw, pGC);
-    	}
-    }
-    else
-    {
-	spanRec.count = n;
-	AppendSpanGroup (pGC, pixel, &spanRec, spanData);
-    }
-}
-
-static void
-miLineProjectingCap (DrawablePtr pDrawable, GCPtr pGC, unsigned long pixel,
-		     SpanDataPtr spanData, LineFacePtr face, Bool isLeft,
-		     double xorg, double yorg, Bool isInt)
-{
-    int	xorgi = 0, yorgi = 0;
-    int	lw;
-    PolyEdgeRec	lefts[2], rights[2];
-    int		lefty, righty, topy, bottomy;
-    PolyEdgePtr left, right;
-    PolyEdgePtr	top, bottom;
-    double	xa,ya;
-    double	k;
-    double	xap, yap;
-    int		dx, dy;
-    double	projectXoff, projectYoff;
-    double	maxy;
-    int		finaly;
-    
-    if (isInt)
-    {
-	xorgi = face->x;
-	yorgi = face->y;
-    }
-    lw = pGC->lineWidth;
-    dx = face->dx;
-    dy = face->dy;
-    k = face->k;
-    if (dy == 0)
-    {
-	lefts[0].height = lw;
-	lefts[0].x = xorgi;
-	if (isLeft)
-	    lefts[0].x -= (lw >> 1);
-	lefts[0].stepx = 0;
-	lefts[0].signdx = 1;
-	lefts[0].e = -lw;
-	lefts[0].dx = 0;
-	lefts[0].dy = lw;
-	rights[0].height = lw;
-	rights[0].x = xorgi;
-	if (!isLeft)
-	    rights[0].x += ((lw + 1) >> 1);
-	rights[0].stepx = 0;
-	rights[0].signdx = 1;
-	rights[0].e = -lw;
-	rights[0].dx = 0;
-	rights[0].dy = lw;
-	miFillPolyHelper (pDrawable, pGC, pixel, spanData, yorgi - (lw >> 1), lw,
-		     lefts, rights, 1, 1);
-    }
-    else if (dx == 0)
-    {
-	if (dy < 0) {
-	    dy = -dy;
-	    isLeft = !isLeft;
-	}
-	topy = yorgi;
-	bottomy = yorgi + dy;
-	if (isLeft)
-	    topy -= (lw >> 1);
-	else
-	    bottomy += (lw >> 1);
-	lefts[0].height = bottomy - topy;
-	lefts[0].x = xorgi - (lw >> 1);
-	lefts[0].stepx = 0;
-	lefts[0].signdx = 1;
-	lefts[0].e = -dy;
-	lefts[0].dx = dx;
-	lefts[0].dy = dy;
-
-	rights[0].height = bottomy - topy;
-	rights[0].x = lefts[0].x + (lw-1);
-	rights[0].stepx = 0;
-	rights[0].signdx = 1;
-	rights[0].e = -dy;
-	rights[0].dx = dx;
-	rights[0].dy = dy;
-	miFillPolyHelper (pDrawable, pGC, pixel, spanData, topy, bottomy - topy, lefts, rights, 1, 1);
-    }
-    else
-    {
-	xa = face->xa;
-	ya = face->ya;
-	projectXoff = -ya;
-	projectYoff = xa;
-	if (dx < 0)
-	{
-	    right = &rights[1];
-	    left = &lefts[0];
-	    top = &rights[0];
-	    bottom = &lefts[1];
-	}
-	else
-	{
-	    right = &rights[0];
-	    left = &lefts[1];
-	    top = &lefts[0];
-	    bottom = &rights[1];
-	}
-	if (isLeft)
-	{
-	    righty = miPolyBuildEdge (xa, ya,
-		     k, dx, dy, xorgi, yorgi, 0, right);
-	    
-	    xa = -xa;
-	    ya = -ya;
-	    k = -k;
-	    lefty = miPolyBuildEdge (xa - projectXoff, ya - projectYoff,
-				     k, dx, dy, xorgi, yorgi, 1, left);
-	    if (dx > 0)
-	    {
-		ya = -ya;
-		xa = -xa;
-	    }
-	    xap = xa - projectXoff;
-	    yap = ya - projectYoff;
-	    topy = miPolyBuildEdge (xap, yap, xap * dx + yap * dy,
-				    -dy, dx, xorgi, yorgi, dx > 0, top);
-	    bottomy = miPolyBuildEdge (xa, ya,
-				       0.0, -dy, dx, xorgi, yorgi, dx < 0, bottom);
-	    maxy = -ya;
-	}
-	else
-	{
-	    righty = miPolyBuildEdge (xa - projectXoff, ya - projectYoff,
-		     k, dx, dy, xorgi, yorgi, 0, right);
-	    
-	    xa = -xa;
-	    ya = -ya;
-	    k = -k;
-	    lefty = miPolyBuildEdge (xa, ya,
-		    k, dx, dy, xorgi, yorgi, 1, left);
-	    if (dx > 0)
-	    {
-		ya = -ya;
-		xa = -xa;
-	    }
-	    xap = xa - projectXoff;
-	    yap = ya - projectYoff;
-	    topy = miPolyBuildEdge (xa, ya, 0.0, -dy, dx, xorgi, xorgi, dx > 0, top);
-	    bottomy = miPolyBuildEdge (xap, yap, xap * dx + yap * dy,
-				       -dy, dx, xorgi, xorgi, dx < 0, bottom);
-	    maxy = -ya + projectYoff;
-	}
-	finaly = ICEIL(maxy) + yorgi;
-	if (dx < 0)
-	{
-	    left->height = bottomy - lefty;
-	    right->height = finaly - righty;
-	    top->height = righty - topy;
-	}
-	else
-	{
-	    right->height =  bottomy - righty;
-	    left->height = finaly - lefty;
-	    top->height = lefty - topy;
-	}
-	bottom->height = finaly - bottomy;
-	miFillPolyHelper (pDrawable, pGC, pixel, spanData, topy,
-		     bottom->height + bottomy - topy, lefts, rights, 2, 2);
-    }
-}
-
-static void
-miWideSegment (
-    DrawablePtr		pDrawable,
-    GCPtr		pGC,
-    unsigned long	pixel,
-    SpanDataPtr		spanData,
-    int    		x1,
-    int    		y1,
-    int    		x2,
-    int    		y2,
-    Bool		projectLeft,
-    Bool		projectRight,
-    LineFacePtr 	leftFace,
-    LineFacePtr 	rightFace)
-{
-    double	l, L, r;
-    double	xa, ya;
-    double	projectXoff = 0.0, projectYoff = 0.0;
-    double	k;
-    double	maxy;
-    int		x, y;
-    int		dx, dy;
-    int		finaly;
-    PolyEdgePtr left, right;
-    PolyEdgePtr	top, bottom;
-    int		lefty, righty, topy, bottomy;
-    int		signdx;
-    PolyEdgeRec	lefts[2], rights[2];
-    LineFacePtr	tface;
-    int		lw = pGC->lineWidth;
-
-    /* draw top-to-bottom always */
-    if (y2 < y1 || (y2 == y1 && x2 < x1))
-    {
-	x = x1;
-	x1 = x2;
-	x2 = x;
-
-	y = y1;
-	y1 = y2;
-	y2 = y;
-
-	x = projectLeft;
-	projectLeft = projectRight;
-	projectRight = x;
-
-	tface = leftFace;
-	leftFace = rightFace;
-	rightFace = tface;
-    }
-
-    dy = y2 - y1;
-    signdx = 1;
-    dx = x2 - x1;
-    if (dx < 0)
-	signdx = -1;
-
-    leftFace->x = x1;
-    leftFace->y = y1;
-    leftFace->dx = dx;
-    leftFace->dy = dy;
-
-    rightFace->x = x2;
-    rightFace->y = y2;
-    rightFace->dx = -dx;
-    rightFace->dy = -dy;
-
-    if (dy == 0)
-    {
-	rightFace->xa = 0;
-	rightFace->ya = (double) lw / 2.0;
-	rightFace->k = -(double) (lw * dx) / 2.0;
-	leftFace->xa = 0;
-	leftFace->ya = -rightFace->ya;
-	leftFace->k = rightFace->k;
-	x = x1;
-	if (projectLeft)
-	    x -= (lw >> 1);
-	y = y1 - (lw >> 1);
-	dx = x2 - x;
-	if (projectRight)
-	    dx += ((lw + 1) >> 1);
-	dy = lw;
-	miFillRectPolyHelper (pDrawable, pGC, pixel, spanData,
-			      x, y, dx, dy);
-    }
-    else if (dx == 0)
-    {
-	leftFace->xa =  (double) lw / 2.0;
-	leftFace->ya = 0;
-	leftFace->k = (double) (lw * dy) / 2.0;
-	rightFace->xa = -leftFace->xa;
-	rightFace->ya = 0;
-	rightFace->k = leftFace->k;
-	y = y1;
-	if (projectLeft)
-	    y -= lw >> 1;
-	x = x1 - (lw >> 1);
-	dy = y2 - y;
-	if (projectRight)
-	    dy += ((lw + 1) >> 1);
-	dx = lw;
-	miFillRectPolyHelper (pDrawable, pGC, pixel, spanData,
-			      x, y, dx, dy);
-    }
-    else
-    {
-    	l = ((double) lw) / 2.0;
-    	L = hypot ((double) dx, (double) dy);
-
-	if (dx < 0)
-	{
-	    right = &rights[1];
-	    left = &lefts[0];
-	    top = &rights[0];
-	    bottom = &lefts[1];
-	}
-	else
-	{
-	    right = &rights[0];
-	    left = &lefts[1];
-	    top = &lefts[0];
-	    bottom = &rights[1];
-	}
-	r = l / L;
-
-	/* coord of upper bound at integral y */
-	ya = -r * dx;
-	xa = r * dy;
-
-	if (projectLeft | projectRight)
-	{
-	    projectXoff = -ya;
-	    projectYoff = xa;
-	}
-
-    	/* xa * dy - ya * dx */
-	k = l * L;
-
-	leftFace->xa = xa;
-	leftFace->ya = ya;
-	leftFace->k = k;
-	rightFace->xa = -xa;
-	rightFace->ya = -ya;
-	rightFace->k = k;
-
-	if (projectLeft)
-	    righty = miPolyBuildEdge (xa - projectXoff, ya - projectYoff,
-				      k, dx, dy, x1, y1, 0, right);
-	else
-	    righty = miPolyBuildEdge (xa, ya,
-				      k, dx, dy, x1, y1, 0, right);
-
-	/* coord of lower bound at integral y */
-	ya = -ya;
-	xa = -xa;
-
-	/* xa * dy - ya * dx */
-	k = - k;
-
-	if (projectLeft)
-	    lefty = miPolyBuildEdge (xa - projectXoff, ya - projectYoff,
-				     k, dx, dy, x1, y1, 1, left);
-	else
-	    lefty = miPolyBuildEdge (xa, ya,
-				     k, dx, dy, x1, y1, 1, left);
-
-	/* coord of top face at integral y */
-
-	if (signdx > 0)
-	{
-	    ya = -ya;
-	    xa = -xa;
-	}
-
-	if (projectLeft)
-	{
-	    double xap = xa - projectXoff;
-	    double yap = ya - projectYoff;
-	    topy = miPolyBuildEdge (xap, yap, xap * dx + yap * dy,
-				    -dy, dx, x1, y1, dx > 0, top);
-	}
-	else
-	    topy = miPolyBuildEdge (xa, ya, 0.0, -dy, dx, x1, y1, dx > 0, top);
-
-	/* coord of bottom face at integral y */
-
-	if (projectRight)
-	{
-	    double xap = xa + projectXoff;
-	    double yap = ya + projectYoff;
-	    bottomy = miPolyBuildEdge (xap, yap, xap * dx + yap * dy,
-				       -dy, dx, x2, y2, dx < 0, bottom);
-	    maxy = -ya + projectYoff;
-	}
-	else
-	{
-	    bottomy = miPolyBuildEdge (xa, ya,
-				       0.0, -dy, dx, x2, y2, dx < 0, bottom);
-	    maxy = -ya;
-	}
-
-	finaly = ICEIL (maxy) + y2;
-
-	if (dx < 0)
-	{
-	    left->height = bottomy - lefty;
-	    right->height = finaly - righty;
-	    top->height = righty - topy;
-	}
-	else
-	{
-	    right->height =  bottomy - righty;
-	    left->height = finaly - lefty;
-	    top->height = lefty - topy;
-	}
-	bottom->height = finaly - bottomy;
-	miFillPolyHelper (pDrawable, pGC, pixel, spanData, topy,
-		     bottom->height + bottomy - topy, lefts, rights, 2, 2);
-    }
-}
-
-static SpanDataPtr
-miSetupSpanData (GCPtr pGC, SpanDataPtr spanData, int npt)
-{
-    if ((npt < 3 && pGC->capStyle != CapRound) || miSpansEasyRop(pGC->alu))
-	return (SpanDataPtr) NULL;
-    if (pGC->lineStyle == LineDoubleDash)
-	miInitSpanGroup (&spanData->bgGroup);
-    miInitSpanGroup (&spanData->fgGroup);
-    return spanData;
-}
-
-static void
-miCleanupSpanData (DrawablePtr pDrawable, GCPtr pGC, SpanDataPtr spanData)
-{
-    if (pGC->lineStyle == LineDoubleDash)
-    {
-	XID oldPixel, pixel;
-	
-	pixel = pGC->bgPixel;
-	oldPixel = pGC->fgPixel;
-    	if (pixel != oldPixel)
-    	{
-    	    DoChangeGC (pGC, GCForeground, &pixel, FALSE);
-    	    ValidateGC (pDrawable, pGC);
-    	}
-	miFillUniqueSpanGroup (pDrawable, pGC, &spanData->bgGroup);
-	miFreeSpanGroup (&spanData->bgGroup);
-    	if (pixel != oldPixel)
-    	{
-	    DoChangeGC (pGC, GCForeground, &oldPixel, FALSE);
-	    ValidateGC (pDrawable, pGC);
-    	}
-    }
-    miFillUniqueSpanGroup (pDrawable, pGC, &spanData->fgGroup);
-    miFreeSpanGroup (&spanData->fgGroup);
-}
-
-void
-miWideLine (DrawablePtr pDrawable, GCPtr pGC,
-	    int mode, int npt, DDXPointPtr pPts)
-{
- int x1, y1, x2, y2;
-    SpanDataRec	spanDataRec;
-    SpanDataPtr	spanData;
-    long   	pixel;
-    Bool	projectLeft, projectRight;
-    LineFaceRec	leftFace, rightFace, prevRightFace;
-    LineFaceRec	firstFace;
-    int		first;
-    Bool	somethingDrawn = FALSE;
-    Bool	selfJoin;
-
-    spanData = miSetupSpanData (pGC, &spanDataRec, npt);
-    pixel = pGC->fgPixel;
-    x2 = pPts->x;
-    y2 = pPts->y;
-    first = TRUE;
-    selfJoin = FALSE;
-    if (npt > 1)
-    {
-    	if (mode == CoordModePrevious)
-    	{
-	    int nptTmp;
-	    DDXPointPtr pPtsTmp;
-    
-	    x1 = x2;
-	    y1 = y2;
-	    nptTmp = npt;
-	    pPtsTmp = pPts + 1;
-	    while (--nptTmp)
-	    {
-	    	x1 += pPtsTmp->x;
-	    	y1 += pPtsTmp->y;
-	    	++pPtsTmp;
-	    }
-	    if (x2 == x1 && y2 == y1)
-	    	selfJoin = TRUE;
-    	}
-    	else if (x2 == pPts[npt-1].x && y2 == pPts[npt-1].y)
-    	{
-	    selfJoin = TRUE;
-    	}
-    }
-    projectLeft = pGC->capStyle == CapProjecting && !selfJoin;
-    projectRight = FALSE;
-    while (--npt)
-    {
-	x1 = x2;
-	y1 = y2;
-	++pPts;
-	x2 = pPts->x;
-	y2 = pPts->y;
-	if (mode == CoordModePrevious)
-	{
-	    x2 += x1;
-	    y2 += y1;
-	}
-	if (x1 != x2 || y1 != y2)
-	{
-	    somethingDrawn = TRUE;
-	    if (npt == 1 && pGC->capStyle == CapProjecting && !selfJoin)
-	    	projectRight = TRUE;
-	    miWideSegment (pDrawable, pGC, pixel, spanData, x1, y1, x2, y2,
-		       	   projectLeft, projectRight, &leftFace, &rightFace);
-	    if (first)
-	    {
-	    	if (selfJoin)
-		    firstFace = leftFace;
-	    	else if (pGC->capStyle == CapRound)
-		{
-		    if (pGC->lineWidth == 1 && !spanData)
-			miLineOnePoint (pDrawable, pGC, pixel, spanData, x1, y1);
-		    else
-		    	miLineArc (pDrawable, pGC, pixel, spanData,
-			       	   &leftFace, (LineFacePtr) NULL,
- 			       	   (double)0.0, (double)0.0,
-			       	   TRUE);
-		}
-	    }
-	    else
-	    {
-	    	miLineJoin (pDrawable, pGC, pixel, spanData, &leftFace,
-		            &prevRightFace);
-	    }
-	    prevRightFace = rightFace;
-	    first = FALSE;
-	    projectLeft = FALSE;
-	}
-	if (npt == 1 && somethingDrawn)
- 	{
-	    if (selfJoin)
-		miLineJoin (pDrawable, pGC, pixel, spanData, &firstFace,
-			    &rightFace);
-	    else if (pGC->capStyle == CapRound)
-	    {
-		if (pGC->lineWidth == 1 && !spanData)
-		    miLineOnePoint (pDrawable, pGC, pixel, spanData, x2, y2);
-		else
-		    miLineArc (pDrawable, pGC, pixel, spanData,
-			       (LineFacePtr) NULL, &rightFace,
-			       (double)0.0, (double)0.0,
-			       TRUE);
-	    }
-	}
-    }
-    /* handle crock where all points are coincedent */
-    if (!somethingDrawn)
-    {
-	projectLeft = pGC->capStyle == CapProjecting;
-	miWideSegment (pDrawable, pGC, pixel, spanData,
-		       x2, y2, x2, y2, projectLeft, projectLeft,
-		       &leftFace, &rightFace);
-	if (pGC->capStyle == CapRound)
-	{
-	    miLineArc (pDrawable, pGC, pixel, spanData,
-		       &leftFace, (LineFacePtr) NULL,
-		       (double)0.0, (double)0.0,
-		       TRUE);
-	    rightFace.dx = -1;	/* sleezy hack to make it work */
-	    miLineArc (pDrawable, pGC, pixel, spanData,
-		       (LineFacePtr) NULL, &rightFace,
- 		       (double)0.0, (double)0.0,
-		       TRUE);
-	}
-    }
-    if (spanData)
-	miCleanupSpanData (pDrawable, pGC, spanData);
-}
-
-#define V_TOP	    0
-#define V_RIGHT	    1
-#define V_BOTTOM    2
-#define V_LEFT	    3
-
-static void
-miWideDashSegment (
-    DrawablePtr	    pDrawable,
-    GCPtr  	    pGC,
-    SpanDataPtr	    spanData,
-    int		    *pDashOffset,
-    int		    *pDashIndex,
-    int		    x1,
-    int		    y1,
-    int		    x2,
-    int		    y2,
-    Bool	    projectLeft,
-    Bool	    projectRight,
-    LineFacePtr	    leftFace,
-    LineFacePtr	    rightFace)
-{
-    int		    dashIndex, dashRemain;
-    unsigned char   *pDash;
-    double	    L, l;
-    double	    k;
-    PolyVertexRec   vertices[4];
-    PolyVertexRec   saveRight, saveBottom;
-    PolySlopeRec    slopes[4];
-    PolyEdgeRec	    left[2], right[2];
-    LineFaceRec	    lcapFace, rcapFace;
-    int		    nleft, nright;
-    int		    h;
-    int		    y;
-    int		    dy, dx;
-    unsigned long   pixel;
-    double	    LRemain;
-    double	    r;
-    double	    rdx, rdy;
-    double	    dashDx, dashDy;
-    double	    saveK = 0.0;
-    Bool	    first = TRUE;
-    double	    lcenterx, lcentery, rcenterx = 0.0, rcentery = 0.0;
-    unsigned long   fgPixel, bgPixel;
-    
-    dx = x2 - x1;
-    dy = y2 - y1;
-    dashIndex = *pDashIndex;
-    pDash = pGC->dash;
-    dashRemain = pDash[dashIndex] - *pDashOffset;
-    fgPixel = pGC->fgPixel;
-    bgPixel = pGC->bgPixel;
-    if (pGC->fillStyle == FillOpaqueStippled ||
-	pGC->fillStyle == FillTiled)
-    {
-	bgPixel = fgPixel;
-    }
-
-    l = ((double) pGC->lineWidth) / 2.0;
-    if (dx == 0)
-    {
-	L = dy;
-	rdx = 0;
-	rdy = l;
-	if (dy < 0)
-	{
-	    L = -dy;
-	    rdy = -l;
-	}
-    }
-    else if (dy == 0)
-    {
-	L = dx;
-	rdx = l;
-	rdy = 0;
-	if (dx < 0)
-	{
-	    L = -dx;
-	    rdx = -l;
-	}
-    }
-    else
-    {
-	L = hypot ((double) dx, (double) dy);
-	r = l / L;
-
-	rdx = r * dx;
-	rdy = r * dy;
-    }
-    k = l * L;
-    LRemain = L;
-    /* All position comments are relative to a line with dx and dy > 0,
-     * but the code does not depend on this */
-    /* top */
-    slopes[V_TOP].dx = dx;
-    slopes[V_TOP].dy = dy;
-    slopes[V_TOP].k = k;
-    /* right */
-    slopes[V_RIGHT].dx = -dy;
-    slopes[V_RIGHT].dy = dx;
-    slopes[V_RIGHT].k = 0;
-    /* bottom */
-    slopes[V_BOTTOM].dx = -dx;
-    slopes[V_BOTTOM].dy = -dy;
-    slopes[V_BOTTOM].k = k;
-    /* left */
-    slopes[V_LEFT].dx = dy;
-    slopes[V_LEFT].dy = -dx;
-    slopes[V_LEFT].k = 0;
-
-    /* preload the start coordinates */
-    vertices[V_RIGHT].x = vertices[V_TOP].x = rdy;
-    vertices[V_RIGHT].y = vertices[V_TOP].y = -rdx;
-
-    vertices[V_BOTTOM].x = vertices[V_LEFT].x = -rdy;
-    vertices[V_BOTTOM].y = vertices[V_LEFT].y = rdx;
-
-    if (projectLeft)
-    {
-	vertices[V_TOP].x -= rdx;
-	vertices[V_TOP].y -= rdy;
-
-	vertices[V_LEFT].x -= rdx;
-	vertices[V_LEFT].y -= rdy;
-
-	slopes[V_LEFT].k = rdx * dx + rdy * dy;
-    }
-
-    lcenterx = x1;
-    lcentery = y1;
-
-    if (pGC->capStyle == CapRound)
-    {
-	lcapFace.dx = dx;
-	lcapFace.dy = dy;
-	lcapFace.x = x1;
-	lcapFace.y = y1;
-
-	rcapFace.dx = -dx;
-	rcapFace.dy = -dy;
-	rcapFace.x = x1;
-	rcapFace.y = y1;
-    }
-    while (LRemain > dashRemain)
-    {
-	dashDx = (dashRemain * dx) / L;
-	dashDy = (dashRemain * dy) / L;
-
-	rcenterx = lcenterx + dashDx;
-	rcentery = lcentery + dashDy;
-
-	vertices[V_RIGHT].x += dashDx;
-	vertices[V_RIGHT].y += dashDy;
-
-	vertices[V_BOTTOM].x += dashDx;
-	vertices[V_BOTTOM].y += dashDy;
-
-	slopes[V_RIGHT].k = vertices[V_RIGHT].x * dx + vertices[V_RIGHT].y * dy;
-
-	if (pGC->lineStyle == LineDoubleDash || !(dashIndex & 1))
-	{
-	    if (pGC->lineStyle == LineOnOffDash &&
- 	        pGC->capStyle == CapProjecting)
-	    {
-		saveRight = vertices[V_RIGHT];
-		saveBottom = vertices[V_BOTTOM];
-		saveK = slopes[V_RIGHT].k;
-		
-		if (!first)
-		{
-		    vertices[V_TOP].x -= rdx;
-		    vertices[V_TOP].y -= rdy;
-    
-		    vertices[V_LEFT].x -= rdx;
-		    vertices[V_LEFT].y -= rdy;
-
-		    slopes[V_LEFT].k = vertices[V_LEFT].x *
-				       slopes[V_LEFT].dy -
-				       vertices[V_LEFT].y *
-				       slopes[V_LEFT].dx;
-		}
-		
-		vertices[V_RIGHT].x += rdx;
-		vertices[V_RIGHT].y += rdy;
-
-		vertices[V_BOTTOM].x += rdx;
-		vertices[V_BOTTOM].y += rdy;
-
-		slopes[V_RIGHT].k = vertices[V_RIGHT].x *
-				   slopes[V_RIGHT].dy -
-				   vertices[V_RIGHT].y *
-				   slopes[V_RIGHT].dx;
-	    }
-	    y = miPolyBuildPoly (vertices, slopes, 4, x1, y1,
-			     	 left, right, &nleft, &nright, &h);
-	    pixel = (dashIndex & 1) ? bgPixel : fgPixel;
-	    miFillPolyHelper (pDrawable, pGC, pixel, spanData, y, h, left, right, nleft, nright);
-
-	    if (pGC->lineStyle == LineOnOffDash)
-	    {
-		switch (pGC->capStyle)
-		{
-		case CapProjecting:
-		    vertices[V_BOTTOM] = saveBottom;
-		    vertices[V_RIGHT] = saveRight;
-		    slopes[V_RIGHT].k = saveK;
-		    break;
-		case CapRound:
-		    if (!first)
-		    {
-		    	if (dx < 0)
-		    	{
-		    	    lcapFace.xa = -vertices[V_LEFT].x;
-		    	    lcapFace.ya = -vertices[V_LEFT].y;
-			    lcapFace.k = slopes[V_LEFT].k;
-		    	}
-		    	else
-		    	{
-		    	    lcapFace.xa = vertices[V_TOP].x;
-		    	    lcapFace.ya = vertices[V_TOP].y;
-			    lcapFace.k = -slopes[V_LEFT].k;
-		    	}
-		    	miLineArc (pDrawable, pGC, pixel, spanData,
-			       	   &lcapFace, (LineFacePtr) NULL,
-			       	   lcenterx, lcentery, FALSE);
-		    }
-		    if (dx < 0)
-		    {
-		    	rcapFace.xa = vertices[V_BOTTOM].x;
-		    	rcapFace.ya = vertices[V_BOTTOM].y;
-			rcapFace.k = slopes[V_RIGHT].k;
-		    }
-		    else
-		    {
-		    	rcapFace.xa = -vertices[V_RIGHT].x;
-		    	rcapFace.ya = -vertices[V_RIGHT].y;
-			rcapFace.k = -slopes[V_RIGHT].k;
-		    }
-		    miLineArc (pDrawable, pGC, pixel, spanData,
-			       (LineFacePtr) NULL, &rcapFace,
-			       rcenterx, rcentery, FALSE);
-		    break;
-	    	}
-	    }
-	}
-	LRemain -= dashRemain;
-	++dashIndex;
-	if (dashIndex == pGC->numInDashList)
-	    dashIndex = 0;
-	dashRemain = pDash[dashIndex];
-
-	lcenterx = rcenterx;
-	lcentery = rcentery;
-
-	vertices[V_TOP] = vertices[V_RIGHT];
-	vertices[V_LEFT] = vertices[V_BOTTOM];
-	slopes[V_LEFT].k = -slopes[V_RIGHT].k;
-	first = FALSE;
-    }
-
-    if (pGC->lineStyle == LineDoubleDash || !(dashIndex & 1))
-    {
-    	vertices[V_TOP].x -= dx;
-    	vertices[V_TOP].y -= dy;
-
-	vertices[V_LEFT].x -= dx;
-	vertices[V_LEFT].y -= dy;
-
-	vertices[V_RIGHT].x = rdy;
-	vertices[V_RIGHT].y = -rdx;
-
-	vertices[V_BOTTOM].x = -rdy;
-	vertices[V_BOTTOM].y = rdx;
-
-	
-	if (projectRight)
-	{
-	    vertices[V_RIGHT].x += rdx;
-	    vertices[V_RIGHT].y += rdy;
-    
-	    vertices[V_BOTTOM].x += rdx;
-	    vertices[V_BOTTOM].y += rdy;
-	    slopes[V_RIGHT].k = vertices[V_RIGHT].x *
-				slopes[V_RIGHT].dy -
-				vertices[V_RIGHT].y *
-				slopes[V_RIGHT].dx;
-	}
-	else
-	    slopes[V_RIGHT].k = 0;
-
-	if (!first && pGC->lineStyle == LineOnOffDash &&
-	    pGC->capStyle == CapProjecting)
-	{
-	    vertices[V_TOP].x -= rdx;
-	    vertices[V_TOP].y -= rdy;
-
-	    vertices[V_LEFT].x -= rdx;
-	    vertices[V_LEFT].y -= rdy;
-	    slopes[V_LEFT].k = vertices[V_LEFT].x *
-			       slopes[V_LEFT].dy -
-			       vertices[V_LEFT].y *
-			       slopes[V_LEFT].dx;
-	}
-	else
-	    slopes[V_LEFT].k += dx * dx + dy * dy;
-
-
-	y = miPolyBuildPoly (vertices, slopes, 4, x2, y2,
-			     left, right, &nleft, &nright, &h);
-
-	pixel = (dashIndex & 1) ? pGC->bgPixel : pGC->fgPixel;
-	miFillPolyHelper (pDrawable, pGC, pixel, spanData, y, h, left, right, nleft, nright);
-	if (!first && pGC->lineStyle == LineOnOffDash &&
-	    pGC->capStyle == CapRound)
-	{
-	    lcapFace.x = x2;
-	    lcapFace.y = y2;
-	    if (dx < 0)
-	    {
-		lcapFace.xa = -vertices[V_LEFT].x;
-		lcapFace.ya = -vertices[V_LEFT].y;
-		lcapFace.k = slopes[V_LEFT].k;
-	    }
-	    else
-	    {
-		lcapFace.xa = vertices[V_TOP].x;
-		lcapFace.ya = vertices[V_TOP].y;
-		lcapFace.k = -slopes[V_LEFT].k;
-	    }
-	    miLineArc (pDrawable, pGC, pixel, spanData,
-		       &lcapFace, (LineFacePtr) NULL,
-		       rcenterx, rcentery, FALSE);
-	}
-    }
-    dashRemain = ((double) dashRemain) - LRemain;
-    if (dashRemain == 0)
-    {
-	dashIndex++;
-	if (dashIndex == pGC->numInDashList)
-	    dashIndex = 0;
-	dashRemain = pDash[dashIndex];
-    }
-
-    leftFace->x = x1;
-    leftFace->y = y1;
-    leftFace->dx = dx;
-    leftFace->dy = dy;
-    leftFace->xa = rdy;
-    leftFace->ya = -rdx;
-    leftFace->k = k;
-
-    rightFace->x = x2;
-    rightFace->y = y2;
-    rightFace->dx = -dx;
-    rightFace->dy = -dy;
-    rightFace->xa = -rdy;
-    rightFace->ya = rdx;
-    rightFace->k = k;
-
-    *pDashIndex = dashIndex;
-    *pDashOffset = pDash[dashIndex] - dashRemain;
-}
-
-void
-miWideDash (DrawablePtr pDrawable, GCPtr pGC,
-	    int mode, int npt, DDXPointPtr pPts)
-{
-    int			x1, y1, x2, y2;
-    unsigned long	pixel;
-    Bool		projectLeft, projectRight;
-    LineFaceRec		leftFace, rightFace, prevRightFace;
-    LineFaceRec		firstFace;
-    int			first;
-    int			dashIndex, dashOffset;
-    int			prevDashIndex;
-    SpanDataRec		spanDataRec;
-    SpanDataPtr		spanData;
-    Bool		somethingDrawn = FALSE;
-    Bool		selfJoin;
-    Bool		endIsFg = FALSE, startIsFg = FALSE;
-    Bool		firstIsFg = FALSE, prevIsFg = FALSE;
-
-#if 0
-    /* XXX backward compatibility */
-    if (pGC->lineWidth == 0)
-    {
-	miZeroDashLine (pDrawable, pGC, mode, npt, pPts);
-	return;
-    }
-#endif
-    if (pGC->lineStyle == LineDoubleDash && 
-	(pGC->fillStyle == FillOpaqueStippled || pGC->fillStyle == FillTiled))
-    {
-	miWideLine (pDrawable, pGC, mode, npt, pPts);
-	return;
-    }
-    if (npt == 0)
-	return;
-    spanData = miSetupSpanData (pGC, &spanDataRec, npt);
-    x2 = pPts->x;
-    y2 = pPts->y;
-    first = TRUE;
-    selfJoin = FALSE;
-    if (mode == CoordModePrevious)
-    {
-	int nptTmp;
-	DDXPointPtr pPtsTmp;
-
-	x1 = x2;
-	y1 = y2;
-	nptTmp = npt;
-	pPtsTmp = pPts + 1;
-	while (--nptTmp)
-	{
-	    x1 += pPtsTmp->x;
-	    y1 += pPtsTmp->y;
-	    ++pPtsTmp;
-	}
-	if (x2 == x1 && y2 == y1)
-	    selfJoin = TRUE;
-    }
-    else if (x2 == pPts[npt-1].x && y2 == pPts[npt-1].y)
-    {
-	selfJoin = TRUE;
-    }
-    projectLeft = pGC->capStyle == CapProjecting && !selfJoin;
-    projectRight = FALSE;
-    dashIndex = 0;
-    dashOffset = 0;
-    miStepDash ((int)pGC->dashOffset, &dashIndex,
-	        pGC->dash, (int)pGC->numInDashList, &dashOffset);
-    while (--npt)
-    {
-	x1 = x2;
-	y1 = y2;
-	++pPts;
-	x2 = pPts->x;
-	y2 = pPts->y;
-	if (mode == CoordModePrevious)
-	{
-	    x2 += x1;
-	    y2 += y1;
-	}
-	if (x1 != x2 || y1 != y2)
-	{
-	    somethingDrawn = TRUE;
-	    if (npt == 1 && pGC->capStyle == CapProjecting && 
-		(!selfJoin || !firstIsFg))
-		projectRight = TRUE;
-	    prevDashIndex = dashIndex;
-	    miWideDashSegment (pDrawable, pGC, spanData, &dashOffset, &dashIndex,
-				x1, y1, x2, y2,
-				projectLeft, projectRight, &leftFace, &rightFace);
-	    startIsFg = !(prevDashIndex & 1);
-	    endIsFg = (dashIndex & 1) ^ (dashOffset != 0);
-	    if (pGC->lineStyle == LineDoubleDash || startIsFg)
-	    {
-	    	pixel = startIsFg ? pGC->fgPixel : pGC->bgPixel;
-	    	if (first || (pGC->lineStyle == LineOnOffDash && !prevIsFg))
-	    	{
-	    	    if (first && selfJoin)
-		    {
-		    	firstFace = leftFace;
-			firstIsFg = startIsFg;
-		    }
-	    	    else if (pGC->capStyle == CapRound)
-		    	miLineArc (pDrawable, pGC, pixel, spanData,
-			       	   &leftFace, (LineFacePtr) NULL,
-			       	   (double)0.0, (double)0.0, TRUE);
-	    	}
-	    	else
-	    	{
-	    	    miLineJoin (pDrawable, pGC, pixel, spanData, &leftFace,
-		            	&prevRightFace);
-	    	}
-	    }
-	    prevRightFace = rightFace;
-	    prevIsFg = endIsFg;
-	    first = FALSE;
-	    projectLeft = FALSE;
-	}
-	if (npt == 1 && somethingDrawn)
-	{
-	    if (pGC->lineStyle == LineDoubleDash || endIsFg)
-	    {
-		pixel = endIsFg ? pGC->fgPixel : pGC->bgPixel;
-		if (selfJoin && (pGC->lineStyle == LineDoubleDash || firstIsFg))
-		{
-		    miLineJoin (pDrawable, pGC, pixel, spanData, &firstFace,
-				&rightFace);
-		}
-		else 
-		{
-		    if (pGC->capStyle == CapRound)
-			miLineArc (pDrawable, pGC, pixel, spanData,
-				    (LineFacePtr) NULL, &rightFace,
-				    (double)0.0, (double)0.0, TRUE);
-		}
-	    }
-	    else
-	    {
-		/* glue a cap to the start of the line if
-		 * we're OnOffDash and ended on odd dash
-		 */
-		if (selfJoin && firstIsFg)
-		{
-		    pixel = pGC->fgPixel;
-		    if (pGC->capStyle == CapProjecting)
-			miLineProjectingCap (pDrawable, pGC, pixel, spanData,
-				    &firstFace, TRUE,
-				    (double)0.0, (double)0.0, TRUE);
-		    else if (pGC->capStyle == CapRound)
-			miLineArc (pDrawable, pGC, pixel, spanData,
-				    &firstFace, (LineFacePtr) NULL,
-				    (double)0.0, (double)0.0, TRUE);
-		}
-	    }
-	}
-    }
-    /* handle crock where all points are coincident */
-    if (!somethingDrawn && (pGC->lineStyle == LineDoubleDash || !(dashIndex & 1)))
-    {
-	/* not the same as endIsFg computation above */
-	pixel = (dashIndex & 1) ? pGC->bgPixel : pGC->fgPixel;
-	switch (pGC->capStyle) {
-	case CapRound:
-	    miLineArc (pDrawable, pGC, pixel, spanData,
-		       (LineFacePtr) NULL, (LineFacePtr) NULL,
-		       (double)x2, (double)y2,
-		       FALSE);
-	    break;
-	case CapProjecting:
-	    x1 = pGC->lineWidth;
-	    miFillRectPolyHelper (pDrawable, pGC, pixel, spanData,
-				  x2 - (x1 >> 1), y2 - (x1 >> 1), x1, x1);
-	    break;
-	}
-    }
-    if (spanData)
-	miCleanupSpanData (pDrawable, pGC, spanData);
-}
+/*

+

+Copyright 1988, 1998  The Open Group

+

+Permission to use, copy, modify, distribute, and sell this software and its

+documentation for any purpose is hereby granted without fee, provided that

+the above copyright notice appear in all copies and that both that

+copyright notice and this permission notice appear in supporting

+documentation.

+

+The above copyright notice and this permission notice shall be included

+in all copies or substantial portions of the Software.

+

+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS

+OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF

+MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.

+IN NO EVENT SHALL THE OPEN GROUP BE LIABLE FOR ANY CLAIM, DAMAGES OR

+OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE,

+ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR

+OTHER DEALINGS IN THE SOFTWARE.

+

+Except as contained in this notice, the name of The Open Group shall

+not be used in advertising or otherwise to promote the sale, use or

+other dealings in this Software without prior written authorization

+from The Open Group.

+

+*/

+

+/* Author:  Keith Packard, MIT X Consortium */

+

+/*

+ * Mostly integer wideline code.  Uses a technique similar to

+ * bresenham zero-width lines, except walks an X edge

+ */

+

+#ifdef HAVE_DIX_CONFIG_H

+#include <dix-config.h>

+#endif

+

+#include <stdio.h>

+#ifdef _XOPEN_SOURCE

+#include <math.h>

+#else

+#define _XOPEN_SOURCE	/* to get prototype for hypot on some systems */

+#include <math.h>

+#undef _XOPEN_SOURCE

+#endif

+#ifdef _MSC_VER

+#define hypot _hypot

+#endif

+

+#include <X11/X.h>

+#include "windowstr.h"

+#include "gcstruct.h"

+#include "regionstr.h"

+#include "miwideline.h"

+#include "mi.h"

+

+static Bool

+InitSpans(Spans *spans, size_t nspans)

+{

+    spans->points = malloc(nspans * sizeof (*spans->points));

+    if (!spans->points)

+	return FALSE;

+    spans->widths = malloc(nspans * sizeof (*spans->widths));

+    if (!spans->widths)

+    {

+	free(spans->points);

+	return FALSE;

+    }

+    return TRUE;

+}

+

+/*

+ * interface data to span-merging polygon filler

+ */

+

+typedef struct _SpanData {

+    SpanGroup	fgGroup, bgGroup;

+} SpanDataRec, *SpanDataPtr;

+

+static void

+AppendSpanGroup(GCPtr pGC, unsigned long pixel, Spans *spanPtr, SpanDataPtr spanData)

+{

+    SpanGroup *group, *othergroup = NULL;

+    if (pixel == pGC->fgPixel)

+    {

+	group = &spanData->fgGroup;

+	if (pGC->lineStyle == LineDoubleDash)

+	    othergroup = &spanData->bgGroup;

+    }

+    else

+    {

+	group = &spanData->bgGroup;

+	othergroup = &spanData->fgGroup;

+    }

+    miAppendSpans (group, othergroup, spanPtr);

+}

+

+

+static void miLineArc(DrawablePtr pDraw, GCPtr pGC,

+		      unsigned long pixel, SpanDataPtr spanData,

+		      LineFacePtr leftFace,

+		      LineFacePtr rightFace,

+		      double xorg, double yorg, Bool isInt);

+

+

+/*

+ * spans-based polygon filler

+ */

+

+static void

+fillSpans(DrawablePtr pDrawable, GCPtr pGC, unsigned long pixel, Spans *spans, SpanDataPtr spanData)

+{

+    if (!spanData)

+    {

+	ChangeGCVal oldPixel, tmpPixel;

+	oldPixel.val = pGC->fgPixel;

+	if (pixel != oldPixel.val)

+	{

+	    tmpPixel.val = (XID)pixel;

+	    ChangeGC (NullClient, pGC, GCForeground, &tmpPixel);

+	    ValidateGC (pDrawable, pGC);

+	}

+	(*pGC->ops->FillSpans) (pDrawable, pGC, spans->count, spans->points, spans->widths, TRUE);

+	free(spans->widths);

+	free(spans->points);

+	if (pixel != oldPixel.val)

+	{

+	    ChangeGC (NullClient, pGC, GCForeground, &oldPixel);

+	    ValidateGC (pDrawable, pGC);

+	}

+    }

+    else

+	AppendSpanGroup (pGC, pixel, spans, spanData);

+}

+

+static void

+miFillPolyHelper (DrawablePtr pDrawable, GCPtr pGC, unsigned long pixel,

+		  SpanDataPtr spanData, int y, int overall_height,

+		  PolyEdgePtr left, PolyEdgePtr right,

+		  int left_count, int right_count)

+{

+    int left_x = 0, left_e = 0;

+    int	left_stepx = 0;

+    int	left_signdx = 0;

+    int	left_dy = 0, left_dx = 0;

+

+    int right_x = 0, right_e = 0;

+    int	right_stepx = 0;

+    int	right_signdx = 0;

+    int	right_dy = 0, right_dx = 0;

+

+    int	height = 0;

+    int	left_height = 0, right_height = 0;

+

+    DDXPointPtr ppt;

+    int 	*pwidth;

+    int		xorg;

+    Spans	spanRec;

+

+    if (!InitSpans(&spanRec, overall_height))

+	return;

+    ppt = spanRec.points;

+    pwidth = spanRec.widths;

+

+    xorg = 0;

+    if (pGC->miTranslate)

+    {

+	y += pDrawable->y;

+	xorg = pDrawable->x;

+    }

+    while ((left_count || left_height) &&

+	   (right_count || right_height))

+    {

+	if (!left_height && left_count)

+	{

+	    left_height = left->height;

+	    left_x = left->x;

+	    left_stepx = left->stepx;

+	    left_signdx = left->signdx;

+	    left_e = left->e;

+	    left_dy = left->dy;

+	    left_dx = left->dx;

+	    --left_count;

+	    ++left;

+	}

+

+	if (!right_height && right_count)

+	{

+	    right_height = right->height;

+	    right_x = right->x;

+	    right_stepx = right->stepx;

+	    right_signdx = right->signdx;

+	    right_e = right->e;

+	    right_dy = right->dy;

+	    right_dx = right->dx;

+	    --right_count;

+	    ++right;

+	}

+

+	height = left_height;

+	if (height > right_height)

+	    height = right_height;

+

+	left_height -= height;

+	right_height -= height;

+

+	while (--height >= 0)

+	{

+	    if (right_x >= left_x)

+	    {

+		ppt->y = y;

+		ppt->x = left_x + xorg;

+		ppt++;

+		*pwidth++ = right_x - left_x + 1;

+	    }

+	    y++;

+

+	    left_x += left_stepx;

+	    left_e += left_dx;

+	    if (left_e > 0)

+	    {

+		left_x += left_signdx;

+		left_e -= left_dy;

+	    }

+

+	    right_x += right_stepx;

+	    right_e += right_dx;

+	    if (right_e > 0)

+	    {

+		right_x += right_signdx;

+		right_e -= right_dy;

+	    }

+	}

+    }

+    spanRec.count = ppt - spanRec.points;

+    fillSpans (pDrawable, pGC, pixel, &spanRec, spanData);

+}

+

+static void

+miFillRectPolyHelper (

+    DrawablePtr	pDrawable,

+    GCPtr	pGC,

+    unsigned long   pixel,

+    SpanDataPtr	spanData,

+    int		x,

+    int		y,

+    int		w,

+    int		h)

+{

+    DDXPointPtr ppt;

+    int 	*pwidth;

+    ChangeGCVal	oldPixel, tmpPixel;

+    Spans	spanRec;

+    xRectangle  rect;

+

+    if (!spanData)

+    {

+	rect.x = x;

+	rect.y = y;

+	rect.width = w;

+	rect.height = h;

+	oldPixel.val = pGC->fgPixel;

+	if (pixel != oldPixel.val)

+    	{

+	    tmpPixel.val = (XID)pixel;

+	    ChangeGC (NullClient, pGC, GCForeground, &tmpPixel);

+    	    ValidateGC (pDrawable, pGC);

+    	}

+	(*pGC->ops->PolyFillRect) (pDrawable, pGC, 1, &rect);

+	if (pixel != oldPixel.val)

+    	{

+	    ChangeGC (NullClient, pGC, GCForeground, &oldPixel);

+	    ValidateGC (pDrawable, pGC);

+    	}

+    }

+    else

+    {

+	if (!InitSpans(&spanRec, h))

+	    return;

+	ppt = spanRec.points;

+	pwidth = spanRec.widths;

+

+    	if (pGC->miTranslate)

+    	{

+	    y += pDrawable->y;

+	    x += pDrawable->x;

+    	}

+	while (h--)

+	{

+	    ppt->x = x;

+	    ppt->y = y;

+	    ppt++;

+	    *pwidth++ = w;

+	    y++;

+	}

+	spanRec.count = ppt - spanRec.points;

+	AppendSpanGroup (pGC, pixel, &spanRec, spanData);

+    }

+}

+

+/* static */ int

+miPolyBuildEdge (

+    double	x0,

+    double	y0,

+    double	k,  /* x0 * dy - y0 * dx */

+    int		dx,

+    int		dy,

+    int		xi,

+    int		yi,

+    int		left,

+    PolyEdgePtr edge)

+{

+    int	    x, y, e;

+    int	    xady;

+

+    if (dy < 0)

+    {

+	dy = -dy;

+	dx = -dx;

+	k = -k;

+    }

+

+#ifdef NOTDEF

+    {

+	double	realk, kerror;

+    	realk = x0 * dy - y0 * dx;

+    	kerror = Fabs (realk - k);

+    	if (kerror > .1)

+	    printf ("realk: %g k: %g\n", realk, k);

+    }

+#endif

+    y = ICEIL (y0);

+    xady = ICEIL (k) + y * dx;

+

+    if (xady <= 0)

+	x = - (-xady / dy) - 1;

+    else

+	x = (xady - 1) / dy;

+

+    e = xady - x * dy;

+

+    if (dx >= 0)

+    {

+	edge->signdx = 1;

+	edge->stepx = dx / dy;

+	edge->dx = dx % dy;

+    }

+    else

+    {

+	edge->signdx = -1;

+	edge->stepx = - (-dx / dy);

+	edge->dx = -dx % dy;

+	e = dy - e + 1;

+    }

+    edge->dy = dy;

+    edge->x = x + left + xi;

+    edge->e = e - dy;	/* bias to compare against 0 instead of dy */

+    return y + yi;

+}

+

+#define StepAround(v, incr, max) (((v) + (incr) < 0) ? (max - 1) : ((v) + (incr) == max) ? 0 : ((v) + (incr)))

+

+/* static */ int

+miPolyBuildPoly (

+    PolyVertexPtr	vertices,

+    PolySlopePtr	slopes,

+    int			count,

+    int			xi,

+    int			yi,

+    PolyEdgePtr		left,

+    PolyEdgePtr		right,

+    int			*pnleft,

+    int			*pnright,

+    int			*h)

+{

+    int 	top, bottom;

+    double 	miny, maxy;

+    int 	i;

+    int		j;

+    int		clockwise;

+    int		slopeoff;

+    int 	s;

+    int 	nright, nleft;

+    int	   	y, lasty = 0, bottomy, topy = 0;

+

+    /* find the top of the polygon */

+    maxy = miny = vertices[0].y;

+    bottom = top = 0;

+    for (i = 1; i < count; i++)

+    {

+	if (vertices[i].y < miny)

+	{

+	    top = i;

+	    miny = vertices[i].y;

+	}

+	if (vertices[i].y >= maxy)

+	{

+	    bottom = i;

+	    maxy = vertices[i].y;

+	}

+    }

+    clockwise = 1;

+    slopeoff = 0;

+

+    i = top;

+    j = StepAround (top, -1, count);

+

+    if (slopes[j].dy * slopes[i].dx > slopes[i].dy * slopes[j].dx)

+    {

+	clockwise = -1;

+	slopeoff = -1;

+    }

+

+    bottomy = ICEIL (maxy) + yi;

+

+    nright = 0;

+

+    s = StepAround (top, slopeoff, count);

+    i = top;

+    while (i != bottom)

+    {

+	if (slopes[s].dy != 0)

+	{

+	    y = miPolyBuildEdge (vertices[i].x, vertices[i].y,

+			slopes[s].k,

+			slopes[s].dx, slopes[s].dy,

+			xi, yi, 0,

+			&right[nright]);

+	    if (nright != 0)

+	    	right[nright-1].height = y - lasty;

+	    else

+	    	topy = y;

+	    nright++;

+	    lasty = y;

+	}

+

+	i = StepAround (i, clockwise, count);

+	s = StepAround (s, clockwise, count);

+    }

+    if (nright != 0)

+	right[nright-1].height = bottomy - lasty;

+

+    if (slopeoff == 0)

+	slopeoff = -1;

+    else

+	slopeoff = 0;

+

+    nleft = 0;

+    s = StepAround (top, slopeoff, count);

+    i = top;

+    while (i != bottom)

+    {

+	if (slopes[s].dy != 0)

+	{

+	    y = miPolyBuildEdge (vertices[i].x, vertices[i].y,

+			   slopes[s].k,

+		       	   slopes[s].dx,  slopes[s].dy, xi, yi, 1,

+		       	   &left[nleft]);

+    

+	    if (nleft != 0)

+	    	left[nleft-1].height = y - lasty;

+	    nleft++;

+	    lasty = y;

+	}

+	i = StepAround (i, -clockwise, count);

+	s = StepAround (s, -clockwise, count);

+    }

+    if (nleft != 0)

+	left[nleft-1].height = bottomy - lasty;

+    *pnleft = nleft;

+    *pnright = nright;

+    *h = bottomy - topy;

+    return topy;

+}

+

+static void

+miLineOnePoint (

+    DrawablePtr	    pDrawable,

+    GCPtr	    pGC,

+    unsigned long   pixel,

+    SpanDataPtr	    spanData,

+    int		    x,

+    int		    y)

+{

+    DDXPointRec pt;

+    int	    wid;

+    unsigned long	oldPixel;

+

+    MILINESETPIXEL (pDrawable, pGC, pixel, oldPixel);

+    if (pGC->fillStyle == FillSolid)

+    {

+	pt.x = x;

+	pt.y = y;

+	(*pGC->ops->PolyPoint) (pDrawable, pGC, CoordModeOrigin, 1, &pt);

+    }

+    else

+    {

+	wid = 1;

+	if (pGC->miTranslate) 

+	{

+	    x += pDrawable->x;

+	    y += pDrawable->y;

+	}

+	pt.x = x;

+	pt.y = y;

+	(*pGC->ops->FillSpans) (pDrawable, pGC, 1, &pt, &wid, TRUE);

+    }

+    MILINERESETPIXEL (pDrawable, pGC, pixel, oldPixel);

+}

+

+static void

+miLineJoin (

+    DrawablePtr 	pDrawable,

+    GCPtr		pGC,

+    unsigned long	pixel,

+    SpanDataPtr		spanData,

+    LineFacePtr		pLeft,

+    LineFacePtr 	pRight)

+{

+    double	    mx = 0, my = 0;

+    double	    denom = 0.0;

+    PolyVertexRec   vertices[4];

+    PolySlopeRec    slopes[4];

+    int		    edgecount;

+    PolyEdgeRec	    left[4], right[4];

+    int		    nleft, nright;

+    int		    y, height;

+    int		    swapslopes;

+    int		    joinStyle = pGC->joinStyle;

+    int		    lw = pGC->lineWidth;

+

+    if (lw == 1 && !spanData) {

+	/* See if one of the lines will draw the joining pixel */

+	if (pLeft->dx > 0 || (pLeft->dx == 0 && pLeft->dy > 0))

+	    return;

+	if (pRight->dx > 0 || (pRight->dx == 0 && pRight->dy > 0))

+	    return;

+	if (joinStyle != JoinRound) {

+    	    denom = - pLeft->dx * (double)pRight->dy + pRight->dx * (double)pLeft->dy;

+    	    if (denom == 0)

+	    	return;	/* no join to draw */

+	}

+	if (joinStyle != JoinMiter) {

+	    miLineOnePoint (pDrawable, pGC, pixel, spanData, pLeft->x, pLeft->y);

+	    return;

+	}

+    } else {

+    	if (joinStyle == JoinRound)

+    	{

+	    miLineArc(pDrawable, pGC, pixel, spanData,

+		      pLeft, pRight,

+		      (double)0.0, (double)0.0, TRUE);

+	    return;

+    	}

+    	denom = - pLeft->dx * (double)pRight->dy + pRight->dx * (double)pLeft->dy;

+    	if (denom == 0.0)

+	    return;	/* no join to draw */

+    }

+

+    swapslopes = 0;

+    if (denom > 0)

+    {

+	pLeft->xa = -pLeft->xa;

+	pLeft->ya = -pLeft->ya;

+	pLeft->dx = -pLeft->dx;

+	pLeft->dy = -pLeft->dy;

+    }

+    else

+    {

+	swapslopes = 1;

+	pRight->xa = -pRight->xa;

+	pRight->ya = -pRight->ya;

+	pRight->dx = -pRight->dx;

+	pRight->dy = -pRight->dy;

+    }

+

+    vertices[0].x = pRight->xa;

+    vertices[0].y = pRight->ya;

+    slopes[0].dx = -pRight->dy;

+    slopes[0].dy =  pRight->dx;

+    slopes[0].k = 0;

+

+    vertices[1].x = 0;

+    vertices[1].y = 0;

+    slopes[1].dx =  pLeft->dy;

+    slopes[1].dy = -pLeft->dx;

+    slopes[1].k = 0;

+

+    vertices[2].x = pLeft->xa;

+    vertices[2].y = pLeft->ya;

+

+    if (joinStyle == JoinMiter)

+    {

+    	my = (pLeft->dy  * (pRight->xa * pRight->dy - pRight->ya * pRight->dx) -

+              pRight->dy * (pLeft->xa  * pLeft->dy  - pLeft->ya  * pLeft->dx )) /

+	      denom;

+    	if (pLeft->dy != 0)

+    	{

+	    mx = pLeft->xa + (my - pLeft->ya) *

+			    (double) pLeft->dx / (double) pLeft->dy;

+    	}

+    	else

+    	{

+	    mx = pRight->xa + (my - pRight->ya) *

+			    (double) pRight->dx / (double) pRight->dy;

+    	}

+	/* check miter limit */

+	if ((mx * mx + my * my) * 4 > SQSECANT * lw * lw)

+	    joinStyle = JoinBevel;

+    }

+

+    if (joinStyle == JoinMiter)

+    {

+	slopes[2].dx = pLeft->dx;

+	slopes[2].dy = pLeft->dy;

+	slopes[2].k =  pLeft->k;

+	if (swapslopes)

+	{

+	    slopes[2].dx = -slopes[2].dx;

+	    slopes[2].dy = -slopes[2].dy;

+	    slopes[2].k  = -slopes[2].k;

+	}

+	vertices[3].x = mx;

+	vertices[3].y = my;

+	slopes[3].dx = pRight->dx;

+	slopes[3].dy = pRight->dy;

+	slopes[3].k  = pRight->k;

+	if (swapslopes)

+	{

+	    slopes[3].dx = -slopes[3].dx;

+	    slopes[3].dy = -slopes[3].dy;

+	    slopes[3].k  = -slopes[3].k;

+	}

+	edgecount = 4;

+    }

+    else

+    {

+	double	scale, dx, dy, adx, ady;

+

+	adx = dx = pRight->xa - pLeft->xa;

+	ady = dy = pRight->ya - pLeft->ya;

+	if (adx < 0)

+	    adx = -adx;

+	if (ady < 0)

+	    ady = -ady;

+	scale = ady;

+	if (adx > ady)

+	    scale = adx;

+	slopes[2].dx = (dx * 65536) / scale;

+	slopes[2].dy = (dy * 65536) / scale;

+	slopes[2].k = ((pLeft->xa + pRight->xa) * slopes[2].dy -

+		       (pLeft->ya + pRight->ya) * slopes[2].dx) / 2.0;

+	edgecount = 3;

+    }

+

+    y = miPolyBuildPoly (vertices, slopes, edgecount, pLeft->x, pLeft->y,

+		   left, right, &nleft, &nright, &height);

+    miFillPolyHelper (pDrawable, pGC, pixel, spanData, y, height, left, right, nleft, nright);

+}

+

+static int

+miLineArcI (

+    DrawablePtr	    pDraw,

+    GCPtr	    pGC,

+    int		    xorg,

+    int		    yorg,

+    DDXPointPtr	    points,

+    int		    *widths)

+{

+    DDXPointPtr tpts, bpts;

+    int *twids, *bwids;

+    int x, y, e, ex, slw;

+

+    tpts = points;

+    twids = widths;

+    if (pGC->miTranslate)

+    {

+	xorg += pDraw->x;

+	yorg += pDraw->y;

+    }

+    slw = pGC->lineWidth;

+    if (slw == 1)

+    {

+	tpts->x = xorg;

+	tpts->y = yorg;

+	*twids = 1;

+	return 1;

+    }

+    bpts = tpts + slw;

+    bwids = twids + slw;

+    y = (slw >> 1) + 1;

+    if (slw & 1)

+	e = - ((y << 2) + 3);

+    else

+	e = - (y << 3);

+    ex = -4;

+    x = 0;

+    while (y)

+    {

+	e += (y << 3) - 4;

+	while (e >= 0)

+	{

+	    x++;

+	    e += (ex = -((x << 3) + 4));

+	}

+	y--;

+	slw = (x << 1) + 1;

+	if ((e == ex) && (slw > 1))

+	    slw--;

+	tpts->x = xorg - x;

+	tpts->y = yorg - y;

+	tpts++;

+	*twids++ = slw;

+	if ((y != 0) && ((slw > 1) || (e != ex)))

+	{

+	    bpts--;

+	    bpts->x = xorg - x;

+	    bpts->y = yorg + y;

+	    *--bwids = slw;

+	}

+    }

+    return (pGC->lineWidth);

+}

+

+#define CLIPSTEPEDGE(edgey,edge,edgeleft) \

+    if (ybase == edgey) \

+    { \

+	if (edgeleft) \

+	{ \

+	    if (edge->x > xcl) \

+		xcl = edge->x; \

+	} \

+	else \

+	{ \

+	    if (edge->x < xcr) \

+		xcr = edge->x; \

+	} \

+	edgey++; \

+	edge->x += edge->stepx; \

+	edge->e += edge->dx; \

+	if (edge->e > 0) \

+	{ \

+	    edge->x += edge->signdx; \

+	    edge->e -= edge->dy; \

+	} \

+    }

+

+static int

+miLineArcD (

+    DrawablePtr	    pDraw,

+    GCPtr	    pGC,

+    double	    xorg,

+    double	    yorg,

+    DDXPointPtr	    points,

+    int		    *widths,

+    PolyEdgePtr	    edge1,

+    int		    edgey1,

+    Bool	    edgeleft1,

+    PolyEdgePtr	    edge2,

+    int		    edgey2,

+    Bool	    edgeleft2)

+{

+    DDXPointPtr pts;

+    int *wids;

+    double radius, x0, y0, el, er, yk, xlk, xrk, k;

+    int xbase, ybase, y, boty, xl, xr, xcl, xcr;

+    int ymin, ymax;

+    Bool edge1IsMin, edge2IsMin;

+    int ymin1, ymin2;

+

+    pts = points;

+    wids = widths;

+    xbase = floor(xorg);

+    x0 = xorg - xbase;

+    ybase = ICEIL (yorg);

+    y0 = yorg - ybase;

+    if (pGC->miTranslate)

+    {

+	xbase += pDraw->x;

+	ybase += pDraw->y;

+	edge1->x += pDraw->x;

+	edge2->x += pDraw->x;

+	edgey1 += pDraw->y;

+	edgey2 += pDraw->y;

+    }

+    xlk = x0 + x0 + 1.0;

+    xrk = x0 + x0 - 1.0;

+    yk = y0 + y0 - 1.0;

+    radius = ((double)pGC->lineWidth) / 2.0;

+    y = floor(radius - y0 + 1.0);

+    ybase -= y;

+    ymin = ybase;

+    ymax = 65536;

+    edge1IsMin = FALSE;

+    ymin1 = edgey1;

+    if (edge1->dy >= 0)

+    {

+    	if (!edge1->dy)

+    	{

+	    if (edgeleft1)

+	    	edge1IsMin = TRUE;

+	    else

+	    	ymax = edgey1;

+	    edgey1 = 65536;

+    	}

+    	else

+    	{

+	    if ((edge1->signdx < 0) == edgeleft1)

+	    	edge1IsMin = TRUE;

+    	}

+    }

+    edge2IsMin = FALSE;

+    ymin2 = edgey2;

+    if (edge2->dy >= 0)

+    {

+    	if (!edge2->dy)

+    	{

+	    if (edgeleft2)

+	    	edge2IsMin = TRUE;

+	    else

+	    	ymax = edgey2;

+	    edgey2 = 65536;

+    	}

+    	else

+    	{

+	    if ((edge2->signdx < 0) == edgeleft2)

+	    	edge2IsMin = TRUE;

+    	}

+    }

+    if (edge1IsMin)

+    {

+	ymin = ymin1;

+	if (edge2IsMin && ymin1 > ymin2)

+	    ymin = ymin2;

+    } else if (edge2IsMin)

+	ymin = ymin2;

+    el = radius * radius - ((y + y0) * (y + y0)) - (x0 * x0);

+    er = el + xrk;

+    xl = 1;

+    xr = 0;

+    if (x0 < 0.5)

+    {

+	xl = 0;

+	el -= xlk;

+    }

+    boty = (y0 < -0.5) ? 1 : 0;

+    if (ybase + y - boty > ymax)

+	boty = ymax - ybase - y;

+    while (y > boty)

+    {

+	k = (y << 1) + yk;

+	er += k;

+	while (er > 0.0)

+	{

+	    xr++;

+	    er += xrk - (xr << 1);

+	}

+	el += k;

+	while (el >= 0.0)

+	{

+	    xl--;

+	    el += (xl << 1) - xlk;

+	}

+	y--;

+	ybase++;

+	if (ybase < ymin)

+	    continue;

+	xcl = xl + xbase;

+	xcr = xr + xbase;

+	CLIPSTEPEDGE(edgey1, edge1, edgeleft1);

+	CLIPSTEPEDGE(edgey2, edge2, edgeleft2);

+	if (xcr >= xcl)

+	{

+	    pts->x = xcl;

+	    pts->y = ybase;

+	    pts++;

+	    *wids++ = xcr - xcl + 1;

+	}

+    }

+    er = xrk - (xr << 1) - er;

+    el = (xl << 1) - xlk - el;

+    boty = floor(-y0 - radius + 1.0);

+    if (ybase + y - boty > ymax)

+	boty = ymax - ybase - y;

+    while (y > boty)

+    {

+	k = (y << 1) + yk;

+	er -= k;

+	while ((er >= 0.0) && (xr >= 0))

+	{

+	    xr--;

+	    er += xrk - (xr << 1);

+	}

+	el -= k;

+	while ((el > 0.0) && (xl <= 0))

+	{

+	    xl++;

+	    el += (xl << 1) - xlk;

+	}

+	y--;

+	ybase++;

+	if (ybase < ymin)

+	    continue;

+	xcl = xl + xbase;

+	xcr = xr + xbase;

+	CLIPSTEPEDGE(edgey1, edge1, edgeleft1);

+	CLIPSTEPEDGE(edgey2, edge2, edgeleft2);

+	if (xcr >= xcl)

+	{

+	    pts->x = xcl;

+	    pts->y = ybase;

+	    pts++;

+	    *wids++ = xcr - xcl + 1;

+	}

+    }

+    return (pts - points);

+}

+

+static int

+miRoundJoinFace (LineFacePtr face, PolyEdgePtr edge, Bool *leftEdge)

+{

+    int	    y;

+    int	    dx, dy;

+    double  xa, ya;

+    Bool	left;

+

+    dx = -face->dy;

+    dy = face->dx;

+    xa = face->xa;

+    ya = face->ya;

+    left = 1;

+    if (ya > 0)

+    {

+	ya = 0.0;

+	xa = 0.0;

+    }

+    if (dy < 0 || (dy == 0 && dx > 0))

+    {

+	dx = -dx;

+	dy = -dy;

+	left = !left;

+    }

+    if (dx == 0 && dy == 0)

+	dy = 1;

+    if (dy == 0)

+    {

+	y = ICEIL (face->ya) + face->y;

+	edge->x = -32767;

+	edge->stepx = 0;

+	edge->signdx = 0;

+	edge->e = -1;

+	edge->dy = 0;

+	edge->dx = 0;

+	edge->height = 0;

+    }

+    else

+    {

+	y = miPolyBuildEdge (xa, ya, 0.0, dx, dy, face->x, face->y, !left, edge);

+	edge->height = 32767;

+    }

+    *leftEdge = !left;

+    return y;

+}

+

+void

+miRoundJoinClip (LineFacePtr pLeft, LineFacePtr pRight,

+		 PolyEdgePtr edge1, PolyEdgePtr edge2,

+		 int *y1, int *y2, Bool *left1, Bool *left2)

+{

+    double	denom;

+

+    denom = - pLeft->dx * (double)pRight->dy + pRight->dx * (double)pLeft->dy;

+

+    if (denom >= 0)

+    {

+	pLeft->xa = -pLeft->xa;

+	pLeft->ya = -pLeft->ya;

+    }

+    else

+    {

+	pRight->xa = -pRight->xa;

+	pRight->ya = -pRight->ya;

+    }

+    *y1 = miRoundJoinFace (pLeft, edge1, left1);

+    *y2 = miRoundJoinFace (pRight, edge2, left2);

+}

+

+int

+miRoundCapClip (LineFacePtr face, Bool isInt, PolyEdgePtr edge, Bool *leftEdge)

+{

+    int		y;

+    int 	dx, dy;

+    double	xa, ya, k;

+    Bool	left;

+

+    dx = -face->dy;

+    dy = face->dx;

+    xa = face->xa;

+    ya = face->ya;

+    k = 0.0;

+    if (!isInt)

+	k = face->k;

+    left = 1;

+    if (dy < 0 || (dy == 0 && dx > 0))

+    {

+	dx = -dx;

+	dy = -dy;

+	xa = -xa;

+	ya = -ya;

+	left = !left;

+    }

+    if (dx == 0 && dy == 0)

+	dy = 1;

+    if (dy == 0)

+    {

+	y = ICEIL (face->ya) + face->y;

+	edge->x = -32767;

+	edge->stepx = 0;

+	edge->signdx = 0;

+	edge->e = -1;

+	edge->dy = 0;

+	edge->dx = 0;

+	edge->height = 0;

+    }

+    else

+    {

+	y = miPolyBuildEdge (xa, ya, k, dx, dy, face->x, face->y, !left, edge);

+	edge->height = 32767;

+    }

+    *leftEdge = !left;

+    return y;

+}

+

+static void

+miLineArc (

+    DrawablePtr		pDraw,

+    GCPtr  		pGC,

+    unsigned long	pixel,

+    SpanDataPtr		spanData,

+    LineFacePtr		leftFace,

+    LineFacePtr 	rightFace,

+    double	    	xorg,

+    double          	yorg,

+    Bool	    	isInt)

+{

+    int xorgi = 0, yorgi = 0;

+    Spans spanRec;

+    int n;

+    PolyEdgeRec	edge1, edge2;

+    int		edgey1, edgey2;

+    Bool	edgeleft1, edgeleft2;

+

+    if (isInt)

+    {

+	xorgi = leftFace ? leftFace->x : rightFace->x;

+	yorgi = leftFace ? leftFace->y : rightFace->y;

+    }

+    edgey1 = 65536;

+    edgey2 = 65536;

+    edge1.x = 0; /* not used, keep memory checkers happy */

+    edge1.dy = -1;

+    edge2.x = 0; /* not used, keep memory checkers happy */

+    edge2.dy = -1;

+    edgeleft1 = FALSE;

+    edgeleft2 = FALSE;

+    if ((pGC->lineStyle != LineSolid || pGC->lineWidth > 2) &&

+	((pGC->capStyle == CapRound && pGC->joinStyle != JoinRound) ||

+	 (pGC->joinStyle == JoinRound && pGC->capStyle == CapButt)))

+    {

+	if (isInt)

+	{

+	    xorg = (double) xorgi;

+	    yorg = (double) yorgi;

+	}

+	if (leftFace && rightFace)

+	{

+	    miRoundJoinClip (leftFace, rightFace, &edge1, &edge2,

+			     &edgey1, &edgey2, &edgeleft1, &edgeleft2);

+	}

+	else if (leftFace)

+	{

+	    edgey1 = miRoundCapClip (leftFace, isInt, &edge1, &edgeleft1);

+	}

+	else if (rightFace)

+	{

+	    edgey2 = miRoundCapClip (rightFace, isInt, &edge2, &edgeleft2);

+	}

+	isInt = FALSE;

+    }

+    if (!InitSpans(&spanRec, pGC->lineWidth))

+	return;

+    if (isInt)

+	n = miLineArcI(pDraw, pGC, xorgi, yorgi, spanRec.points, spanRec.widths);

+    else

+	n = miLineArcD(pDraw, pGC, xorg, yorg, spanRec.points, spanRec.widths,

+		       &edge1, edgey1, edgeleft1,

+		       &edge2, edgey2, edgeleft2);

+    spanRec.count = n;

+    fillSpans (pDraw, pGC, pixel, &spanRec, spanData);

+}

+

+static void

+miLineProjectingCap (DrawablePtr pDrawable, GCPtr pGC, unsigned long pixel,

+		     SpanDataPtr spanData, LineFacePtr face, Bool isLeft,

+		     double xorg, double yorg, Bool isInt)

+{

+    int	xorgi = 0, yorgi = 0;

+    int	lw;

+    PolyEdgeRec	lefts[2], rights[2];

+    int		lefty, righty, topy, bottomy;

+    PolyEdgePtr left, right;

+    PolyEdgePtr	top, bottom;

+    double	xa,ya;

+    double	k;

+    double	xap, yap;

+    int		dx, dy;

+    double	projectXoff, projectYoff;

+    double	maxy;

+    int		finaly;

+    

+    if (isInt)

+    {

+	xorgi = face->x;

+	yorgi = face->y;

+    }

+    lw = pGC->lineWidth;

+    dx = face->dx;

+    dy = face->dy;

+    k = face->k;

+    if (dy == 0)

+    {

+	lefts[0].height = lw;

+	lefts[0].x = xorgi;

+	if (isLeft)

+	    lefts[0].x -= (lw >> 1);

+	lefts[0].stepx = 0;

+	lefts[0].signdx = 1;

+	lefts[0].e = -lw;

+	lefts[0].dx = 0;

+	lefts[0].dy = lw;

+	rights[0].height = lw;

+	rights[0].x = xorgi;

+	if (!isLeft)

+	    rights[0].x += ((lw + 1) >> 1);

+	rights[0].stepx = 0;

+	rights[0].signdx = 1;

+	rights[0].e = -lw;

+	rights[0].dx = 0;

+	rights[0].dy = lw;

+	miFillPolyHelper (pDrawable, pGC, pixel, spanData, yorgi - (lw >> 1), lw,

+		     lefts, rights, 1, 1);

+    }

+    else if (dx == 0)

+    {

+	if (dy < 0) {

+	    dy = -dy;

+	    isLeft = !isLeft;

+	}

+	topy = yorgi;

+	bottomy = yorgi + dy;

+	if (isLeft)

+	    topy -= (lw >> 1);

+	else

+	    bottomy += (lw >> 1);

+	lefts[0].height = bottomy - topy;

+	lefts[0].x = xorgi - (lw >> 1);

+	lefts[0].stepx = 0;

+	lefts[0].signdx = 1;

+	lefts[0].e = -dy;

+	lefts[0].dx = dx;

+	lefts[0].dy = dy;

+

+	rights[0].height = bottomy - topy;

+	rights[0].x = lefts[0].x + (lw-1);

+	rights[0].stepx = 0;

+	rights[0].signdx = 1;

+	rights[0].e = -dy;

+	rights[0].dx = dx;

+	rights[0].dy = dy;

+	miFillPolyHelper (pDrawable, pGC, pixel, spanData, topy, bottomy - topy, lefts, rights, 1, 1);

+    }

+    else

+    {

+	xa = face->xa;

+	ya = face->ya;

+	projectXoff = -ya;

+	projectYoff = xa;

+	if (dx < 0)

+	{

+	    right = &rights[1];

+	    left = &lefts[0];

+	    top = &rights[0];

+	    bottom = &lefts[1];

+	}

+	else

+	{

+	    right = &rights[0];

+	    left = &lefts[1];

+	    top = &lefts[0];

+	    bottom = &rights[1];

+	}

+	if (isLeft)

+	{

+	    righty = miPolyBuildEdge (xa, ya,

+		     k, dx, dy, xorgi, yorgi, 0, right);

+	    

+	    xa = -xa;

+	    ya = -ya;

+	    k = -k;

+	    lefty = miPolyBuildEdge (xa - projectXoff, ya - projectYoff,

+				     k, dx, dy, xorgi, yorgi, 1, left);

+	    if (dx > 0)

+	    {

+		ya = -ya;

+		xa = -xa;

+	    }

+	    xap = xa - projectXoff;

+	    yap = ya - projectYoff;

+	    topy = miPolyBuildEdge (xap, yap, xap * dx + yap * dy,

+				    -dy, dx, xorgi, yorgi, dx > 0, top);

+	    bottomy = miPolyBuildEdge (xa, ya,

+				       0.0, -dy, dx, xorgi, yorgi, dx < 0, bottom);

+	    maxy = -ya;

+	}

+	else

+	{

+	    righty = miPolyBuildEdge (xa - projectXoff, ya - projectYoff,

+		     k, dx, dy, xorgi, yorgi, 0, right);

+	    

+	    xa = -xa;

+	    ya = -ya;

+	    k = -k;

+	    lefty = miPolyBuildEdge (xa, ya,

+		    k, dx, dy, xorgi, yorgi, 1, left);

+	    if (dx > 0)

+	    {

+		ya = -ya;

+		xa = -xa;

+	    }

+	    xap = xa - projectXoff;

+	    yap = ya - projectYoff;

+	    topy = miPolyBuildEdge (xa, ya, 0.0, -dy, dx, xorgi, xorgi, dx > 0, top);

+	    bottomy = miPolyBuildEdge (xap, yap, xap * dx + yap * dy,

+				       -dy, dx, xorgi, xorgi, dx < 0, bottom);

+	    maxy = -ya + projectYoff;

+	}

+	finaly = ICEIL(maxy) + yorgi;

+	if (dx < 0)

+	{

+	    left->height = bottomy - lefty;

+	    right->height = finaly - righty;

+	    top->height = righty - topy;

+	}

+	else

+	{

+	    right->height =  bottomy - righty;

+	    left->height = finaly - lefty;

+	    top->height = lefty - topy;

+	}

+	bottom->height = finaly - bottomy;

+	miFillPolyHelper (pDrawable, pGC, pixel, spanData, topy,

+		     bottom->height + bottomy - topy, lefts, rights, 2, 2);

+    }

+}

+

+static void

+miWideSegment (

+    DrawablePtr		pDrawable,

+    GCPtr		pGC,

+    unsigned long	pixel,

+    SpanDataPtr		spanData,

+    int    		x1,

+    int    		y1,

+    int    		x2,

+    int    		y2,

+    Bool		projectLeft,

+    Bool		projectRight,

+    LineFacePtr 	leftFace,

+    LineFacePtr 	rightFace)

+{

+    double	l, L, r;

+    double	xa, ya;

+    double	projectXoff = 0.0, projectYoff = 0.0;

+    double	k;

+    double	maxy;

+    int		x, y;

+    int		dx, dy;

+    int		finaly;

+    PolyEdgePtr left, right;

+    PolyEdgePtr	top, bottom;

+    int		lefty, righty, topy, bottomy;

+    int		signdx;

+    PolyEdgeRec	lefts[2], rights[2];

+    LineFacePtr	tface;

+    int		lw = pGC->lineWidth;

+

+    /* draw top-to-bottom always */

+    if (y2 < y1 || (y2 == y1 && x2 < x1))

+    {

+	x = x1;

+	x1 = x2;

+	x2 = x;

+

+	y = y1;

+	y1 = y2;

+	y2 = y;

+

+	x = projectLeft;

+	projectLeft = projectRight;

+	projectRight = x;

+

+	tface = leftFace;

+	leftFace = rightFace;

+	rightFace = tface;

+    }

+

+    dy = y2 - y1;

+    signdx = 1;

+    dx = x2 - x1;

+    if (dx < 0)

+	signdx = -1;

+

+    leftFace->x = x1;

+    leftFace->y = y1;

+    leftFace->dx = dx;

+    leftFace->dy = dy;

+

+    rightFace->x = x2;

+    rightFace->y = y2;

+    rightFace->dx = -dx;

+    rightFace->dy = -dy;

+

+    if (dy == 0)

+    {

+	rightFace->xa = 0;

+	rightFace->ya = (double) lw / 2.0;

+	rightFace->k = -(double) (lw * dx) / 2.0;

+	leftFace->xa = 0;

+	leftFace->ya = -rightFace->ya;

+	leftFace->k = rightFace->k;

+	x = x1;

+	if (projectLeft)

+	    x -= (lw >> 1);

+	y = y1 - (lw >> 1);

+	dx = x2 - x;

+	if (projectRight)

+	    dx += ((lw + 1) >> 1);

+	dy = lw;

+	miFillRectPolyHelper (pDrawable, pGC, pixel, spanData,

+			      x, y, dx, dy);

+    }

+    else if (dx == 0)

+    {

+	leftFace->xa =  (double) lw / 2.0;

+	leftFace->ya = 0;

+	leftFace->k = (double) (lw * dy) / 2.0;

+	rightFace->xa = -leftFace->xa;

+	rightFace->ya = 0;

+	rightFace->k = leftFace->k;

+	y = y1;

+	if (projectLeft)

+	    y -= lw >> 1;

+	x = x1 - (lw >> 1);

+	dy = y2 - y;

+	if (projectRight)

+	    dy += ((lw + 1) >> 1);

+	dx = lw;

+	miFillRectPolyHelper (pDrawable, pGC, pixel, spanData,

+			      x, y, dx, dy);

+    }

+    else

+    {

+    	l = ((double) lw) / 2.0;

+    	L = hypot ((double) dx, (double) dy);

+

+	if (dx < 0)

+	{

+	    right = &rights[1];

+	    left = &lefts[0];

+	    top = &rights[0];

+	    bottom = &lefts[1];

+	}

+	else

+	{

+	    right = &rights[0];

+	    left = &lefts[1];

+	    top = &lefts[0];

+	    bottom = &rights[1];

+	}

+	r = l / L;

+

+	/* coord of upper bound at integral y */

+	ya = -r * dx;

+	xa = r * dy;

+

+	if (projectLeft | projectRight)

+	{

+	    projectXoff = -ya;

+	    projectYoff = xa;

+	}

+

+    	/* xa * dy - ya * dx */

+	k = l * L;

+

+	leftFace->xa = xa;

+	leftFace->ya = ya;

+	leftFace->k = k;

+	rightFace->xa = -xa;

+	rightFace->ya = -ya;

+	rightFace->k = k;

+

+	if (projectLeft)

+	    righty = miPolyBuildEdge (xa - projectXoff, ya - projectYoff,

+				      k, dx, dy, x1, y1, 0, right);

+	else

+	    righty = miPolyBuildEdge (xa, ya,

+				      k, dx, dy, x1, y1, 0, right);

+

+	/* coord of lower bound at integral y */

+	ya = -ya;

+	xa = -xa;

+

+	/* xa * dy - ya * dx */

+	k = - k;

+

+	if (projectLeft)

+	    lefty = miPolyBuildEdge (xa - projectXoff, ya - projectYoff,

+				     k, dx, dy, x1, y1, 1, left);

+	else

+	    lefty = miPolyBuildEdge (xa, ya,

+				     k, dx, dy, x1, y1, 1, left);

+

+	/* coord of top face at integral y */

+

+	if (signdx > 0)

+	{

+	    ya = -ya;

+	    xa = -xa;

+	}

+

+	if (projectLeft)

+	{

+	    double xap = xa - projectXoff;

+	    double yap = ya - projectYoff;

+	    topy = miPolyBuildEdge (xap, yap, xap * dx + yap * dy,

+				    -dy, dx, x1, y1, dx > 0, top);

+	}

+	else

+	    topy = miPolyBuildEdge (xa, ya, 0.0, -dy, dx, x1, y1, dx > 0, top);

+

+	/* coord of bottom face at integral y */

+

+	if (projectRight)

+	{

+	    double xap = xa + projectXoff;

+	    double yap = ya + projectYoff;

+	    bottomy = miPolyBuildEdge (xap, yap, xap * dx + yap * dy,

+				       -dy, dx, x2, y2, dx < 0, bottom);

+	    maxy = -ya + projectYoff;

+	}

+	else

+	{

+	    bottomy = miPolyBuildEdge (xa, ya,

+				       0.0, -dy, dx, x2, y2, dx < 0, bottom);

+	    maxy = -ya;

+	}

+

+	finaly = ICEIL (maxy) + y2;

+

+	if (dx < 0)

+	{

+	    left->height = bottomy - lefty;

+	    right->height = finaly - righty;

+	    top->height = righty - topy;

+	}

+	else

+	{

+	    right->height =  bottomy - righty;

+	    left->height = finaly - lefty;

+	    top->height = lefty - topy;

+	}

+	bottom->height = finaly - bottomy;

+	miFillPolyHelper (pDrawable, pGC, pixel, spanData, topy,

+		     bottom->height + bottomy - topy, lefts, rights, 2, 2);

+    }

+}

+

+static SpanDataPtr

+miSetupSpanData (GCPtr pGC, SpanDataPtr spanData, int npt)

+{

+    if ((npt < 3 && pGC->capStyle != CapRound) || miSpansEasyRop(pGC->alu))

+	return (SpanDataPtr) NULL;

+    if (pGC->lineStyle == LineDoubleDash)

+	miInitSpanGroup (&spanData->bgGroup);

+    miInitSpanGroup (&spanData->fgGroup);

+    return spanData;

+}

+

+static void

+miCleanupSpanData (DrawablePtr pDrawable, GCPtr pGC, SpanDataPtr spanData)

+{

+    if (pGC->lineStyle == LineDoubleDash)

+    {

+	ChangeGCVal oldPixel, pixel;

+	pixel.val = pGC->bgPixel;

+	oldPixel.val = pGC->fgPixel;

+	if (pixel.val != oldPixel.val)

+    	{

+	    ChangeGC (NullClient, pGC, GCForeground, &pixel);

+    	    ValidateGC (pDrawable, pGC);

+    	}

+	miFillUniqueSpanGroup (pDrawable, pGC, &spanData->bgGroup);

+	miFreeSpanGroup (&spanData->bgGroup);

+	if (pixel.val != oldPixel.val)

+    	{

+	    ChangeGC (NullClient, pGC, GCForeground, &oldPixel);

+	    ValidateGC (pDrawable, pGC);

+    	}

+    }

+    miFillUniqueSpanGroup (pDrawable, pGC, &spanData->fgGroup);

+    miFreeSpanGroup (&spanData->fgGroup);

+}

+

+void

+miWideLine (DrawablePtr pDrawable, GCPtr pGC,

+	    int mode, int npt, DDXPointPtr pPts)

+{

+ int x1, y1, x2, y2;

+    SpanDataRec	spanDataRec;

+    SpanDataPtr	spanData;

+    long   	pixel;

+    Bool	projectLeft, projectRight;

+    LineFaceRec	leftFace, rightFace, prevRightFace;

+    LineFaceRec	firstFace;

+    int		first;

+    Bool	somethingDrawn = FALSE;

+    Bool	selfJoin;

+

+    spanData = miSetupSpanData (pGC, &spanDataRec, npt);

+    pixel = pGC->fgPixel;

+    x2 = pPts->x;

+    y2 = pPts->y;

+    first = TRUE;

+    selfJoin = FALSE;

+    if (npt > 1)

+    {

+    	if (mode == CoordModePrevious)

+    	{

+	    int nptTmp;

+	    DDXPointPtr pPtsTmp;

+    

+	    x1 = x2;

+	    y1 = y2;

+	    nptTmp = npt;

+	    pPtsTmp = pPts + 1;

+	    while (--nptTmp)

+	    {

+	    	x1 += pPtsTmp->x;

+	    	y1 += pPtsTmp->y;

+	    	++pPtsTmp;

+	    }

+	    if (x2 == x1 && y2 == y1)

+	    	selfJoin = TRUE;

+    	}

+    	else if (x2 == pPts[npt-1].x && y2 == pPts[npt-1].y)

+    	{

+	    selfJoin = TRUE;

+    	}

+    }

+    projectLeft = pGC->capStyle == CapProjecting && !selfJoin;

+    projectRight = FALSE;

+    while (--npt)

+    {

+	x1 = x2;

+	y1 = y2;

+	++pPts;

+	x2 = pPts->x;

+	y2 = pPts->y;

+	if (mode == CoordModePrevious)

+	{

+	    x2 += x1;

+	    y2 += y1;

+	}

+	if (x1 != x2 || y1 != y2)

+	{

+	    somethingDrawn = TRUE;

+	    if (npt == 1 && pGC->capStyle == CapProjecting && !selfJoin)

+	    	projectRight = TRUE;

+	    miWideSegment (pDrawable, pGC, pixel, spanData, x1, y1, x2, y2,

+		       	   projectLeft, projectRight, &leftFace, &rightFace);

+	    if (first)

+	    {

+	    	if (selfJoin)

+		    firstFace = leftFace;

+	    	else if (pGC->capStyle == CapRound)

+		{

+		    if (pGC->lineWidth == 1 && !spanData)

+			miLineOnePoint (pDrawable, pGC, pixel, spanData, x1, y1);

+		    else

+		    	miLineArc (pDrawable, pGC, pixel, spanData,

+			       	   &leftFace, (LineFacePtr) NULL,

+ 			       	   (double)0.0, (double)0.0,

+			       	   TRUE);

+		}

+	    }

+	    else

+	    {

+	    	miLineJoin (pDrawable, pGC, pixel, spanData, &leftFace,

+		            &prevRightFace);

+	    }

+	    prevRightFace = rightFace;

+	    first = FALSE;

+	    projectLeft = FALSE;

+	}

+	if (npt == 1 && somethingDrawn)

+ 	{

+	    if (selfJoin)

+		miLineJoin (pDrawable, pGC, pixel, spanData, &firstFace,

+			    &rightFace);

+	    else if (pGC->capStyle == CapRound)

+	    {

+		if (pGC->lineWidth == 1 && !spanData)

+		    miLineOnePoint (pDrawable, pGC, pixel, spanData, x2, y2);

+		else

+		    miLineArc (pDrawable, pGC, pixel, spanData,

+			       (LineFacePtr) NULL, &rightFace,

+			       (double)0.0, (double)0.0,

+			       TRUE);

+	    }

+	}

+    }

+    /* handle crock where all points are coincedent */

+    if (!somethingDrawn)

+    {

+	projectLeft = pGC->capStyle == CapProjecting;

+	miWideSegment (pDrawable, pGC, pixel, spanData,

+		       x2, y2, x2, y2, projectLeft, projectLeft,

+		       &leftFace, &rightFace);

+	if (pGC->capStyle == CapRound)

+	{

+	    miLineArc (pDrawable, pGC, pixel, spanData,

+		       &leftFace, (LineFacePtr) NULL,

+		       (double)0.0, (double)0.0,

+		       TRUE);

+	    rightFace.dx = -1;	/* sleezy hack to make it work */

+	    miLineArc (pDrawable, pGC, pixel, spanData,

+		       (LineFacePtr) NULL, &rightFace,

+ 		       (double)0.0, (double)0.0,

+		       TRUE);

+	}

+    }

+    if (spanData)

+	miCleanupSpanData (pDrawable, pGC, spanData);

+}

+

+#define V_TOP	    0

+#define V_RIGHT	    1

+#define V_BOTTOM    2

+#define V_LEFT	    3

+

+static void

+miWideDashSegment (

+    DrawablePtr	    pDrawable,

+    GCPtr  	    pGC,

+    SpanDataPtr	    spanData,

+    int		    *pDashOffset,

+    int		    *pDashIndex,

+    int		    x1,

+    int		    y1,

+    int		    x2,

+    int		    y2,

+    Bool	    projectLeft,

+    Bool	    projectRight,

+    LineFacePtr	    leftFace,

+    LineFacePtr	    rightFace)

+{

+    int		    dashIndex, dashRemain;

+    unsigned char   *pDash;

+    double	    L, l;

+    double	    k;

+    PolyVertexRec   vertices[4];

+    PolyVertexRec   saveRight, saveBottom;

+    PolySlopeRec    slopes[4];

+    PolyEdgeRec	    left[2], right[2];

+    LineFaceRec	    lcapFace, rcapFace;

+    int		    nleft, nright;

+    int		    h;

+    int		    y;

+    int		    dy, dx;

+    unsigned long   pixel;

+    double	    LRemain;

+    double	    r;

+    double	    rdx, rdy;

+    double	    dashDx, dashDy;

+    double	    saveK = 0.0;

+    Bool	    first = TRUE;

+    double	    lcenterx, lcentery, rcenterx = 0.0, rcentery = 0.0;

+    unsigned long   fgPixel, bgPixel;

+    

+    dx = x2 - x1;

+    dy = y2 - y1;

+    dashIndex = *pDashIndex;

+    pDash = pGC->dash;

+    dashRemain = pDash[dashIndex] - *pDashOffset;

+    fgPixel = pGC->fgPixel;

+    bgPixel = pGC->bgPixel;

+    if (pGC->fillStyle == FillOpaqueStippled ||

+	pGC->fillStyle == FillTiled)

+    {

+	bgPixel = fgPixel;

+    }

+

+    l = ((double) pGC->lineWidth) / 2.0;

+    if (dx == 0)

+    {

+	L = dy;

+	rdx = 0;

+	rdy = l;

+	if (dy < 0)

+	{

+	    L = -dy;

+	    rdy = -l;

+	}

+    }

+    else if (dy == 0)

+    {

+	L = dx;

+	rdx = l;

+	rdy = 0;

+	if (dx < 0)

+	{

+	    L = -dx;

+	    rdx = -l;

+	}

+    }

+    else

+    {

+	L = hypot ((double) dx, (double) dy);

+	r = l / L;

+

+	rdx = r * dx;

+	rdy = r * dy;

+    }

+    k = l * L;

+    LRemain = L;

+    /* All position comments are relative to a line with dx and dy > 0,

+     * but the code does not depend on this */

+    /* top */

+    slopes[V_TOP].dx = dx;

+    slopes[V_TOP].dy = dy;

+    slopes[V_TOP].k = k;

+    /* right */

+    slopes[V_RIGHT].dx = -dy;

+    slopes[V_RIGHT].dy = dx;

+    slopes[V_RIGHT].k = 0;

+    /* bottom */

+    slopes[V_BOTTOM].dx = -dx;

+    slopes[V_BOTTOM].dy = -dy;

+    slopes[V_BOTTOM].k = k;

+    /* left */

+    slopes[V_LEFT].dx = dy;

+    slopes[V_LEFT].dy = -dx;

+    slopes[V_LEFT].k = 0;

+

+    /* preload the start coordinates */

+    vertices[V_RIGHT].x = vertices[V_TOP].x = rdy;

+    vertices[V_RIGHT].y = vertices[V_TOP].y = -rdx;

+

+    vertices[V_BOTTOM].x = vertices[V_LEFT].x = -rdy;

+    vertices[V_BOTTOM].y = vertices[V_LEFT].y = rdx;

+

+    if (projectLeft)

+    {

+	vertices[V_TOP].x -= rdx;

+	vertices[V_TOP].y -= rdy;

+

+	vertices[V_LEFT].x -= rdx;

+	vertices[V_LEFT].y -= rdy;

+

+	slopes[V_LEFT].k = rdx * dx + rdy * dy;

+    }

+

+    lcenterx = x1;

+    lcentery = y1;

+

+    if (pGC->capStyle == CapRound)

+    {

+	lcapFace.dx = dx;

+	lcapFace.dy = dy;

+	lcapFace.x = x1;

+	lcapFace.y = y1;

+

+	rcapFace.dx = -dx;

+	rcapFace.dy = -dy;

+	rcapFace.x = x1;

+	rcapFace.y = y1;

+    }

+    while (LRemain > dashRemain)

+    {

+	dashDx = (dashRemain * dx) / L;

+	dashDy = (dashRemain * dy) / L;

+

+	rcenterx = lcenterx + dashDx;

+	rcentery = lcentery + dashDy;

+

+	vertices[V_RIGHT].x += dashDx;

+	vertices[V_RIGHT].y += dashDy;

+

+	vertices[V_BOTTOM].x += dashDx;

+	vertices[V_BOTTOM].y += dashDy;

+

+	slopes[V_RIGHT].k = vertices[V_RIGHT].x * dx + vertices[V_RIGHT].y * dy;

+

+	if (pGC->lineStyle == LineDoubleDash || !(dashIndex & 1))

+	{

+	    if (pGC->lineStyle == LineOnOffDash &&

+ 	        pGC->capStyle == CapProjecting)

+	    {

+		saveRight = vertices[V_RIGHT];

+		saveBottom = vertices[V_BOTTOM];

+		saveK = slopes[V_RIGHT].k;

+		

+		if (!first)

+		{

+		    vertices[V_TOP].x -= rdx;

+		    vertices[V_TOP].y -= rdy;

+    

+		    vertices[V_LEFT].x -= rdx;

+		    vertices[V_LEFT].y -= rdy;

+

+		    slopes[V_LEFT].k = vertices[V_LEFT].x *

+				       slopes[V_LEFT].dy -

+				       vertices[V_LEFT].y *

+				       slopes[V_LEFT].dx;

+		}

+		

+		vertices[V_RIGHT].x += rdx;

+		vertices[V_RIGHT].y += rdy;

+

+		vertices[V_BOTTOM].x += rdx;

+		vertices[V_BOTTOM].y += rdy;

+

+		slopes[V_RIGHT].k = vertices[V_RIGHT].x *

+				   slopes[V_RIGHT].dy -

+				   vertices[V_RIGHT].y *

+				   slopes[V_RIGHT].dx;

+	    }

+	    y = miPolyBuildPoly (vertices, slopes, 4, x1, y1,

+			     	 left, right, &nleft, &nright, &h);

+	    pixel = (dashIndex & 1) ? bgPixel : fgPixel;

+	    miFillPolyHelper (pDrawable, pGC, pixel, spanData, y, h, left, right, nleft, nright);

+

+	    if (pGC->lineStyle == LineOnOffDash)

+	    {

+		switch (pGC->capStyle)

+		{

+		case CapProjecting:

+		    vertices[V_BOTTOM] = saveBottom;

+		    vertices[V_RIGHT] = saveRight;

+		    slopes[V_RIGHT].k = saveK;

+		    break;

+		case CapRound:

+		    if (!first)

+		    {

+		    	if (dx < 0)

+		    	{

+		    	    lcapFace.xa = -vertices[V_LEFT].x;

+		    	    lcapFace.ya = -vertices[V_LEFT].y;

+			    lcapFace.k = slopes[V_LEFT].k;

+		    	}

+		    	else

+		    	{

+		    	    lcapFace.xa = vertices[V_TOP].x;

+		    	    lcapFace.ya = vertices[V_TOP].y;

+			    lcapFace.k = -slopes[V_LEFT].k;

+		    	}

+		    	miLineArc (pDrawable, pGC, pixel, spanData,

+			       	   &lcapFace, (LineFacePtr) NULL,

+			       	   lcenterx, lcentery, FALSE);

+		    }

+		    if (dx < 0)

+		    {

+		    	rcapFace.xa = vertices[V_BOTTOM].x;

+		    	rcapFace.ya = vertices[V_BOTTOM].y;

+			rcapFace.k = slopes[V_RIGHT].k;

+		    }

+		    else

+		    {

+		    	rcapFace.xa = -vertices[V_RIGHT].x;

+		    	rcapFace.ya = -vertices[V_RIGHT].y;

+			rcapFace.k = -slopes[V_RIGHT].k;

+		    }

+		    miLineArc (pDrawable, pGC, pixel, spanData,

+			       (LineFacePtr) NULL, &rcapFace,

+			       rcenterx, rcentery, FALSE);

+		    break;

+	    	}

+	    }

+	}

+	LRemain -= dashRemain;

+	++dashIndex;

+	if (dashIndex == pGC->numInDashList)

+	    dashIndex = 0;

+	dashRemain = pDash[dashIndex];

+

+	lcenterx = rcenterx;

+	lcentery = rcentery;

+

+	vertices[V_TOP] = vertices[V_RIGHT];

+	vertices[V_LEFT] = vertices[V_BOTTOM];

+	slopes[V_LEFT].k = -slopes[V_RIGHT].k;

+	first = FALSE;

+    }

+

+    if (pGC->lineStyle == LineDoubleDash || !(dashIndex & 1))

+    {

+    	vertices[V_TOP].x -= dx;

+    	vertices[V_TOP].y -= dy;

+

+	vertices[V_LEFT].x -= dx;

+	vertices[V_LEFT].y -= dy;

+

+	vertices[V_RIGHT].x = rdy;

+	vertices[V_RIGHT].y = -rdx;

+

+	vertices[V_BOTTOM].x = -rdy;

+	vertices[V_BOTTOM].y = rdx;

+

+	

+	if (projectRight)

+	{

+	    vertices[V_RIGHT].x += rdx;

+	    vertices[V_RIGHT].y += rdy;

+    

+	    vertices[V_BOTTOM].x += rdx;

+	    vertices[V_BOTTOM].y += rdy;

+	    slopes[V_RIGHT].k = vertices[V_RIGHT].x *

+				slopes[V_RIGHT].dy -

+				vertices[V_RIGHT].y *

+				slopes[V_RIGHT].dx;

+	}

+	else

+	    slopes[V_RIGHT].k = 0;

+

+	if (!first && pGC->lineStyle == LineOnOffDash &&

+	    pGC->capStyle == CapProjecting)

+	{

+	    vertices[V_TOP].x -= rdx;

+	    vertices[V_TOP].y -= rdy;

+

+	    vertices[V_LEFT].x -= rdx;

+	    vertices[V_LEFT].y -= rdy;

+	    slopes[V_LEFT].k = vertices[V_LEFT].x *

+			       slopes[V_LEFT].dy -

+			       vertices[V_LEFT].y *

+			       slopes[V_LEFT].dx;

+	}

+	else

+	    slopes[V_LEFT].k += dx * dx + dy * dy;

+

+

+	y = miPolyBuildPoly (vertices, slopes, 4, x2, y2,

+			     left, right, &nleft, &nright, &h);

+

+	pixel = (dashIndex & 1) ? pGC->bgPixel : pGC->fgPixel;

+	miFillPolyHelper (pDrawable, pGC, pixel, spanData, y, h, left, right, nleft, nright);

+	if (!first && pGC->lineStyle == LineOnOffDash &&

+	    pGC->capStyle == CapRound)

+	{

+	    lcapFace.x = x2;

+	    lcapFace.y = y2;

+	    if (dx < 0)

+	    {

+		lcapFace.xa = -vertices[V_LEFT].x;

+		lcapFace.ya = -vertices[V_LEFT].y;

+		lcapFace.k = slopes[V_LEFT].k;

+	    }

+	    else

+	    {

+		lcapFace.xa = vertices[V_TOP].x;

+		lcapFace.ya = vertices[V_TOP].y;

+		lcapFace.k = -slopes[V_LEFT].k;

+	    }

+	    miLineArc (pDrawable, pGC, pixel, spanData,

+		       &lcapFace, (LineFacePtr) NULL,

+		       rcenterx, rcentery, FALSE);

+	}

+    }

+    dashRemain = ((double) dashRemain) - LRemain;

+    if (dashRemain == 0)

+    {

+	dashIndex++;

+	if (dashIndex == pGC->numInDashList)

+	    dashIndex = 0;

+	dashRemain = pDash[dashIndex];

+    }

+

+    leftFace->x = x1;

+    leftFace->y = y1;

+    leftFace->dx = dx;

+    leftFace->dy = dy;

+    leftFace->xa = rdy;

+    leftFace->ya = -rdx;

+    leftFace->k = k;

+

+    rightFace->x = x2;

+    rightFace->y = y2;

+    rightFace->dx = -dx;

+    rightFace->dy = -dy;

+    rightFace->xa = -rdy;

+    rightFace->ya = rdx;

+    rightFace->k = k;

+

+    *pDashIndex = dashIndex;

+    *pDashOffset = pDash[dashIndex] - dashRemain;

+}

+

+void

+miWideDash (DrawablePtr pDrawable, GCPtr pGC,

+	    int mode, int npt, DDXPointPtr pPts)

+{

+    int			x1, y1, x2, y2;

+    unsigned long	pixel;

+    Bool		projectLeft, projectRight;

+    LineFaceRec		leftFace, rightFace, prevRightFace;

+    LineFaceRec		firstFace;

+    int			first;

+    int			dashIndex, dashOffset;

+    int			prevDashIndex;

+    SpanDataRec		spanDataRec;

+    SpanDataPtr		spanData;

+    Bool		somethingDrawn = FALSE;

+    Bool		selfJoin;

+    Bool		endIsFg = FALSE, startIsFg = FALSE;

+    Bool		firstIsFg = FALSE, prevIsFg = FALSE;

+

+#if 0

+    /* XXX backward compatibility */

+    if (pGC->lineWidth == 0)

+    {

+	miZeroDashLine (pDrawable, pGC, mode, npt, pPts);

+	return;

+    }

+#endif

+    if (pGC->lineStyle == LineDoubleDash && 

+	(pGC->fillStyle == FillOpaqueStippled || pGC->fillStyle == FillTiled))

+    {

+	miWideLine (pDrawable, pGC, mode, npt, pPts);

+	return;

+    }

+    if (npt == 0)

+	return;

+    spanData = miSetupSpanData (pGC, &spanDataRec, npt);

+    x2 = pPts->x;

+    y2 = pPts->y;

+    first = TRUE;

+    selfJoin = FALSE;

+    if (mode == CoordModePrevious)

+    {

+	int nptTmp;

+	DDXPointPtr pPtsTmp;

+

+	x1 = x2;

+	y1 = y2;

+	nptTmp = npt;

+	pPtsTmp = pPts + 1;

+	while (--nptTmp)

+	{

+	    x1 += pPtsTmp->x;

+	    y1 += pPtsTmp->y;

+	    ++pPtsTmp;

+	}

+	if (x2 == x1 && y2 == y1)

+	    selfJoin = TRUE;

+    }

+    else if (x2 == pPts[npt-1].x && y2 == pPts[npt-1].y)

+    {

+	selfJoin = TRUE;

+    }

+    projectLeft = pGC->capStyle == CapProjecting && !selfJoin;

+    projectRight = FALSE;

+    dashIndex = 0;

+    dashOffset = 0;

+    miStepDash ((int)pGC->dashOffset, &dashIndex,

+	        pGC->dash, (int)pGC->numInDashList, &dashOffset);

+    while (--npt)

+    {

+	x1 = x2;

+	y1 = y2;

+	++pPts;

+	x2 = pPts->x;

+	y2 = pPts->y;

+	if (mode == CoordModePrevious)

+	{

+	    x2 += x1;

+	    y2 += y1;

+	}

+	if (x1 != x2 || y1 != y2)

+	{

+	    somethingDrawn = TRUE;

+	    if (npt == 1 && pGC->capStyle == CapProjecting && 

+		(!selfJoin || !firstIsFg))

+		projectRight = TRUE;

+	    prevDashIndex = dashIndex;

+	    miWideDashSegment (pDrawable, pGC, spanData, &dashOffset, &dashIndex,

+				x1, y1, x2, y2,

+				projectLeft, projectRight, &leftFace, &rightFace);

+	    startIsFg = !(prevDashIndex & 1);

+	    endIsFg = (dashIndex & 1) ^ (dashOffset != 0);

+	    if (pGC->lineStyle == LineDoubleDash || startIsFg)

+	    {

+	    	pixel = startIsFg ? pGC->fgPixel : pGC->bgPixel;

+	    	if (first || (pGC->lineStyle == LineOnOffDash && !prevIsFg))

+	    	{

+	    	    if (first && selfJoin)

+		    {

+		    	firstFace = leftFace;

+			firstIsFg = startIsFg;

+		    }

+	    	    else if (pGC->capStyle == CapRound)

+		    	miLineArc (pDrawable, pGC, pixel, spanData,

+			       	   &leftFace, (LineFacePtr) NULL,

+			       	   (double)0.0, (double)0.0, TRUE);

+	    	}

+	    	else

+	    	{

+	    	    miLineJoin (pDrawable, pGC, pixel, spanData, &leftFace,

+		            	&prevRightFace);

+	    	}

+	    }

+	    prevRightFace = rightFace;

+	    prevIsFg = endIsFg;

+	    first = FALSE;

+	    projectLeft = FALSE;

+	}

+	if (npt == 1 && somethingDrawn)

+	{

+	    if (pGC->lineStyle == LineDoubleDash || endIsFg)

+	    {

+		pixel = endIsFg ? pGC->fgPixel : pGC->bgPixel;

+		if (selfJoin && (pGC->lineStyle == LineDoubleDash || firstIsFg))

+		{

+		    miLineJoin (pDrawable, pGC, pixel, spanData, &firstFace,

+				&rightFace);

+		}

+		else 

+		{

+		    if (pGC->capStyle == CapRound)

+			miLineArc (pDrawable, pGC, pixel, spanData,

+				    (LineFacePtr) NULL, &rightFace,

+				    (double)0.0, (double)0.0, TRUE);

+		}

+	    }

+	    else

+	    {

+		/* glue a cap to the start of the line if

+		 * we're OnOffDash and ended on odd dash

+		 */

+		if (selfJoin && firstIsFg)

+		{

+		    pixel = pGC->fgPixel;

+		    if (pGC->capStyle == CapProjecting)

+			miLineProjectingCap (pDrawable, pGC, pixel, spanData,

+				    &firstFace, TRUE,

+				    (double)0.0, (double)0.0, TRUE);

+		    else if (pGC->capStyle == CapRound)

+			miLineArc (pDrawable, pGC, pixel, spanData,

+				    &firstFace, (LineFacePtr) NULL,

+				    (double)0.0, (double)0.0, TRUE);

+		}

+	    }

+	}

+    }

+    /* handle crock where all points are coincident */

+    if (!somethingDrawn && (pGC->lineStyle == LineDoubleDash || !(dashIndex & 1)))

+    {

+	/* not the same as endIsFg computation above */

+	pixel = (dashIndex & 1) ? pGC->bgPixel : pGC->fgPixel;

+	switch (pGC->capStyle) {

+	case CapRound:

+	    miLineArc (pDrawable, pGC, pixel, spanData,

+		       (LineFacePtr) NULL, (LineFacePtr) NULL,

+		       (double)x2, (double)y2,

+		       FALSE);

+	    break;

+	case CapProjecting:

+	    x1 = pGC->lineWidth;

+	    miFillRectPolyHelper (pDrawable, pGC, pixel, spanData,

+				  x2 - (x1 >> 1), y2 - (x1 >> 1), x1, x1);

+	    break;

+	}

+    }

+    if (spanData)

+	miCleanupSpanData (pDrawable, pGC, spanData);

+}