/*
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                                                                             %
%                                                                             %
%                                                                             %
%                        DDDD   RRRR    AAA   W   W                           %
%                        D   D  R   R  A   A  W   W                           %
%                        D   D  RRRR   AAAAA  W W W                           %
%                        D   D  R RN   A   A  WW WW                           %
%                        DDDD   R  R   A   A  W   W                           %
%                                                                             %
%                                                                             %
%                     ImageMagick Image Drawing Methods                       %
%                                                                             %
%                                                                             %
%                              Software Design                                %
%                                John Cristy                                  %
%                                 July 1998                                   %
%                                                                             %
%                                                                             %
%  Copyright 1999-2006 ImageMagick Studio LLC, a non-profit organization      %
%  dedicated to making software imaging solutions freely available.           %
%                                                                             %
%  You may not use this file except in compliance with the License.  You may  %
%  obtain a copy of the License at                                            %
%                                                                             %
%    http://www.imagemagick.org/script/license.php                            %
%                                                                             %
%  Unless required by applicable law or agreed to in writing, software        %
%  distributed under the License is distributed on an "AS IS" BASIS,          %
%  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.   %
%  See the License for the specific language governing permissions and        %
%  limitations under the License.                                             %
%                                                                             %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% Bill Radcliffe of Corbis (www.corbis.com) contributed the polygon
% rendering code based on Paul Heckbert's "Concave Polygon Scan Conversion",
% Graphics Gems, 1990.  Leonard Rosenthal and David Harr of Appligent
% (www.appligent.com) contributed the dash pattern, linecap stroking
% algorithm, and minor rendering improvements.
%
*/

/*
  Include declarations.
*/
#include "magick/studio.h"
#include "magick/annotate.h"
#include "magick/attribute.h"
#include "magick/blob.h"
#include "magick/cache-view.h"
#include "magick/color.h"
#include "magick/composite.h"
#include "magick/composite-private.h"
#include "magick/constitute.h"
#include "magick/draw.h"
#include "magick/draw-private.h"
#include "magick/enhance.h"
#include "magick/exception.h"
#include "magick/exception-private.h"
#include "magick/gem.h"
#include "magick/geometry.h"
#include "magick/image-private.h"
#include "magick/list.h"
#include "magick/log.h"
#include "magick/monitor.h"
#include "magick/option.h"
#include "magick/paint.h"
#include "magick/pixel-private.h"
#include "magick/string_.h"
#include "magick/token.h"
#include "magick/transform.h"
#include "magick/utility.h"

/*
  Define declarations.
*/
#define BezierQuantum  200

/*
  Typedef declarations.
*/
typedef struct _EdgeInfo
{
  SegmentInfo
    bounds;

  MagickRealType
    scanline;

  PointInfo
    *points;

  unsigned long
    number_points;

  long
    direction;

  MagickBooleanType
    ghostline;

  unsigned long
    highwater;
} EdgeInfo;

typedef struct _ElementInfo
{
  MagickRealType
    cx,
    cy,
    major,
    minor,
    angle;
} ElementInfo;

typedef struct _PolygonInfo
{
  EdgeInfo
    *edges;

  unsigned long
    number_edges;
} PolygonInfo;

typedef enum
{
  MoveToCode,
  OpenCode,
  GhostlineCode,
  LineToCode,
  EndCode
} PathInfoCode;

typedef struct _PathInfo
{
  PointInfo
    point;

  PathInfoCode
    code;
} PathInfo;

/*
  Forward declarations.
*/
static PrimitiveInfo
  *TraceStrokePolygon(const DrawInfo *,const PrimitiveInfo *);

static MagickBooleanType
  DrawStrokePolygon(Image *,const DrawInfo *,const PrimitiveInfo *);

static unsigned long
  TracePath(PrimitiveInfo *,const char *);

static void
#if defined(MagickFuture)
  DestroyGradientInfo(GradientInfo *),
#endif
  TraceArc(PrimitiveInfo *,const PointInfo,const PointInfo,const PointInfo),
  TraceArcPath(PrimitiveInfo *,const PointInfo,const PointInfo,const PointInfo,
    const MagickRealType,const MagickBooleanType,const MagickBooleanType),
  TraceBezier(PrimitiveInfo *,const unsigned long),
  TraceCircle(PrimitiveInfo *,const PointInfo,const PointInfo),
  TraceEllipse(PrimitiveInfo *,const PointInfo,const PointInfo,const PointInfo),
  TraceLine(PrimitiveInfo *,const PointInfo,const PointInfo),
  TraceRectangle(PrimitiveInfo *,const PointInfo,const PointInfo),
  TraceRoundRectangle(PrimitiveInfo *,const PointInfo,const PointInfo,
    PointInfo),
  TraceSquareLinecap(PrimitiveInfo *,const unsigned long,const MagickRealType);

/*
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                                                                             %
%                                                                             %
%                                                                             %
%   C l o n e D r a w I n f o                                                 %
%                                                                             %
%                                                                             %
%                                                                             %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%  CloneDrawInfo() makes a copy of the given draw info structure.  If NULL
%  is specified, a new image info structure is created initialized to
%  default values.
%
%  The format of the CloneDrawInfo method is:
%
%      DrawInfo *CloneDrawInfo(const ImageInfo *image_info,
%        const DrawInfo *draw_info)
%
%  A description of each parameter follows:
%
%    o image_info: The image info.
%
%    o draw_info: The draw info.
%
%
*/
MagickExport DrawInfo *CloneDrawInfo(const ImageInfo *image_info,
  const DrawInfo *draw_info)
{
  DrawInfo
    *clone_info;

  clone_info=(DrawInfo *) AcquireMagickMemory(sizeof(*clone_info));
  if (clone_info == (DrawInfo *) NULL)
    ThrowMagickFatalException(ResourceLimitFatalError,
      "UnableToAllocateDrawInfo",image_info->filename);
  GetDrawInfo(image_info,clone_info);
  if (draw_info == (DrawInfo *) NULL)
    return(clone_info);
  if (clone_info->primitive != (char *) NULL)
    (void) CloneString(&clone_info->primitive,draw_info->primitive);
  if (draw_info->geometry != (char *) NULL)
    (void) CloneString(&clone_info->geometry,draw_info->geometry);
  clone_info->viewbox=draw_info->viewbox;
  clone_info->affine=draw_info->affine;
  clone_info->gravity=draw_info->gravity;
  clone_info->fill=draw_info->fill;
  clone_info->stroke=draw_info->stroke;
  clone_info->stroke_width=draw_info->stroke_width;
  if (draw_info->fill_pattern != (Image *) NULL)
    clone_info->fill_pattern=CloneImage(draw_info->fill_pattern,0,0,MagickTrue,
      &draw_info->fill_pattern->exception);
  else
    if (draw_info->tile != (Image *) NULL)
      clone_info->fill_pattern=CloneImage(draw_info->tile,0,0,MagickTrue,
        &draw_info->tile->exception);
  clone_info->tile=NewImageList();  /* tile is deprecated */
  if (draw_info->stroke_pattern != (Image *) NULL)
    clone_info->stroke_pattern=CloneImage(draw_info->stroke_pattern,0,0,
      MagickTrue,&draw_info->stroke_pattern->exception);
  clone_info->stroke_antialias=draw_info->stroke_antialias;
  clone_info->text_antialias=draw_info->text_antialias;
  clone_info->fill_rule=draw_info->fill_rule;
  clone_info->linecap=draw_info->linecap;
  clone_info->linejoin=draw_info->linejoin;
  clone_info->miterlimit=draw_info->miterlimit;
  clone_info->dash_offset=draw_info->dash_offset;
  clone_info->decorate=draw_info->decorate;
  clone_info->compose=draw_info->compose;
  if (draw_info->text != (char *) NULL)
    (void) CloneString(&clone_info->text,draw_info->text);
  if (draw_info->font != (char *) NULL)
    (void) CloneString(&clone_info->font,draw_info->font);
  if (draw_info->metrics != (char *) NULL)
    (void) CloneString(&clone_info->metrics,draw_info->metrics);
  if (draw_info->family != (char *) NULL)
    (void) CloneString(&clone_info->family,draw_info->family);
  clone_info->style=draw_info->style;
  clone_info->stretch=draw_info->stretch;
  clone_info->weight=draw_info->weight;
  if (draw_info->encoding != (char *) NULL)
    (void) CloneString(&clone_info->encoding,draw_info->encoding);
  clone_info->pointsize=draw_info->pointsize;
  if (draw_info->density != (char *) NULL)
    (void) CloneString(&clone_info->density,draw_info->density);
  clone_info->align=draw_info->align;
  clone_info->undercolor=draw_info->undercolor;
  clone_info->border_color=draw_info->border_color;
  if (draw_info->server_name != (char *) NULL)
    (void) CloneString(&clone_info->server_name,draw_info->server_name);
  if (draw_info->dash_pattern != (double *) NULL)
    {
      register long
        x;

      for (x=0; draw_info->dash_pattern[x] != 0.0; x++);
      clone_info->dash_pattern=(double *)
        AcquireMagickMemory((size_t) (x+1)*sizeof(*clone_info->dash_pattern));
      if (clone_info->dash_pattern == (double *) NULL)
        ThrowMagickFatalException(ResourceLimitFatalError,
          "UnableToAllocateDashPattern",image_info->filename);
      (void) CopyMagickMemory(clone_info->dash_pattern,draw_info->dash_pattern,
        (size_t) (x+1)*sizeof(*clone_info->dash_pattern));
    }
  if (draw_info->clip_path != (char *) NULL)
    (void) CloneString(&clone_info->clip_path,draw_info->clip_path);
  clone_info->bounds=draw_info->bounds;
  clone_info->clip_units=draw_info->clip_units;
  clone_info->render=draw_info->render;
  clone_info->opacity=draw_info->opacity;
  clone_info->element_reference=draw_info->element_reference;
  clone_info->debug=IsEventLogging();
  return(clone_info);
}

/*
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                                                                             %
%                                                                             %
%                                                                             %
+   C o n v e r t P a t h T o P o l y g o n                                   %
%                                                                             %
%                                                                             %
%                                                                             %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%  ConvertPathToPolygon() converts a path to the more efficient sorted
%  rendering form.
%
%  The format of the ConvertPathToPolygon method is:
%
%      PolygonInfo *ConvertPathToPolygon(const DrawInfo *draw_info,
%        const PathInfo *path_info)
%
%  A description of each parameter follows:
%
%    o Method ConvertPathToPolygon returns the path in a more efficient sorted
%      rendering form of type PolygonInfo.
%
%    o draw_info: Specifies a pointer to an DrawInfo structure.
%
%    o path_info: Specifies a pointer to an PathInfo structure.
%
%
*/

#if defined(__cplusplus) || defined(c_plusplus)
extern "C" {
#endif

static int CompareEdges(const void *x,const void *y)
{
  register const EdgeInfo
    *p,
    *q;

  /*
    Compare two edges.
  */
  p=(const EdgeInfo *) x;
  q=(const EdgeInfo *) y;
  if ((p->points[0].y-MagickEpsilon) > q->points[0].y)
    return(1);
  if ((p->points[0].y+MagickEpsilon) < q->points[0].y)
    return(-1);
  if ((p->points[0].x-MagickEpsilon) > q->points[0].x)
    return(1);
  if ((p->points[0].x+MagickEpsilon) < q->points[0].x)
    return(-1);
  if (((p->points[1].x-p->points[0].x)*(q->points[1].y-q->points[0].y)-
       (p->points[1].y-p->points[0].y)*(q->points[1].x-q->points[0].x)) > 0.0)
    return(1);
  return(-1);
}

#if defined(__cplusplus) || defined(c_plusplus)
}
#endif

static void LogPolygonInfo(const PolygonInfo *polygon_info)
{
  register EdgeInfo
    *p;

  register long
    i,
    j;

  (void) LogMagickEvent(DrawEvent,GetMagickModule(),"    begin active-edge");
  p=polygon_info->edges;
  for (i=0; i < (long) polygon_info->number_edges; i++)
  {
    (void) LogMagickEvent(DrawEvent,GetMagickModule(),"      edge %lu:",i);
    (void) LogMagickEvent(DrawEvent,GetMagickModule(),"      direction: %s",
      p->direction != MagickFalse ? "down" : "up");
    (void) LogMagickEvent(DrawEvent,GetMagickModule(),"      ghostline: %s",
      p->ghostline != MagickFalse ? "transparent" : "opaque");
    (void) LogMagickEvent(DrawEvent,GetMagickModule(),
      "      bounds: %g,%g - %g,%g",p->bounds.x1,p->bounds.y1,p->bounds.x2,
      p->bounds.y2);
    for (j=0; j < (long) p->number_points; j++)
      (void) LogMagickEvent(DrawEvent,GetMagickModule(),"        %g,%g",
        p->points[j].x,p->points[j].y);
    p++;
  }
  (void) LogMagickEvent(DrawEvent,GetMagickModule(),"    end active-edge");
}

static void ReversePoints(PointInfo *points,const unsigned long number_points)
{
  PointInfo
    point;

  register long
    i;

  for (i=0; i < (long) (number_points >> 1); i++)
  {
    point=points[i];
    points[i]=points[number_points-(i+1)];
    points[number_points-(i+1)]=point;
  }
}

static PolygonInfo *ConvertPathToPolygon(
  const DrawInfo *magick_unused(draw_info),const PathInfo *path_info)
{
  long
    direction,
    next_direction;

  PointInfo
    point,
    *points;

  PolygonInfo
    *polygon_info;

  SegmentInfo
    bounds;

  register long
    i,
    n;

  MagickBooleanType
    ghostline;

  unsigned long
    edge,
    number_edges,
    number_points;

  /*
    Convert a path to the more efficient sorted rendering form.
  */
  polygon_info=(PolygonInfo *) AcquireMagickMemory(sizeof(*polygon_info));
  if (polygon_info == (PolygonInfo *) NULL)
    return((PolygonInfo *) NULL);
  number_edges=16;
  polygon_info->edges=(EdgeInfo *)
    AcquireMagickMemory((size_t) number_edges*sizeof(*polygon_info->edges));
  if (polygon_info->edges == (EdgeInfo *) NULL)
    return((PolygonInfo *) NULL);
  direction=0;
  edge=0;
  ghostline=MagickFalse;
  n=0;
  number_points=0;
  points=(PointInfo *) NULL;
  (void) ResetMagickMemory(&point,0,sizeof(point));
  (void) ResetMagickMemory(&bounds,0,sizeof(bounds));
  for (i=0; path_info[i].code != EndCode; i++)
  {
    if ((path_info[i].code == MoveToCode) || (path_info[i].code == OpenCode) ||
        (path_info[i].code == GhostlineCode))
      {
        /*
          Move to.
        */
        if ((points != (PointInfo *) NULL) && (n >= 2))
          {
            if (edge == number_edges)
              {
                number_edges<<=1;
                polygon_info->edges=(EdgeInfo *) ResizeMagickMemory(
                  polygon_info->edges,(size_t) number_edges*
                  sizeof(*polygon_info->edges));
                if (polygon_info->edges == (EdgeInfo *) NULL)
                  return((PolygonInfo *) NULL);
              }
            polygon_info->edges[edge].number_points=(unsigned long) n;
            polygon_info->edges[edge].scanline=(-1.0);
            polygon_info->edges[edge].highwater=0;
            polygon_info->edges[edge].ghostline=ghostline;
            polygon_info->edges[edge].direction=(long) (direction > 0);
            if (direction < 0)
              ReversePoints(points,(unsigned long) n);
            polygon_info->edges[edge].points=points;
            polygon_info->edges[edge].bounds=bounds;
            polygon_info->edges[edge].bounds.y1=points[0].y;
            polygon_info->edges[edge].bounds.y2=points[n-1].y;
            points=(PointInfo *) NULL;
            ghostline=MagickFalse;
            edge++;
          }
        if (points == (PointInfo *) NULL)
          {
            number_points=16;
            points=(PointInfo *)
              AcquireMagickMemory((size_t) number_points*sizeof(*points));
            if (points == (PointInfo *) NULL)
              return((PolygonInfo *) NULL);
          }
        ghostline=path_info[i].code == GhostlineCode ? MagickTrue : MagickFalse;
        point=path_info[i].point;
        points[0]=point;
        bounds.x1=point.x;
        bounds.x2=point.x;
        direction=0;
        n=1;
        continue;
      }
    /*
      Line to.
    */
    next_direction=((path_info[i].point.y > point.y) ||
      ((path_info[i].point.y == point.y) &&
       (path_info[i].point.x > point.x))) ? 1 : -1;
    if ((direction != 0) && (direction != next_direction))
      {
        /*
          New edge.
        */
        point=points[n-1];
        if (edge == number_edges)
          {
            number_edges<<=1;
            polygon_info->edges=(EdgeInfo *) ResizeMagickMemory(
              polygon_info->edges,(size_t) number_edges*
              sizeof(*polygon_info->edges));
            if (polygon_info->edges == (EdgeInfo *) NULL)
              return((PolygonInfo *) NULL);
          }
        polygon_info->edges[edge].number_points=(unsigned long) n;
        polygon_info->edges[edge].scanline=(-1.0);
        polygon_info->edges[edge].highwater=0;
        polygon_info->edges[edge].ghostline=ghostline;
        polygon_info->edges[edge].direction=(long) (direction > 0);
        if (direction < 0)
          ReversePoints(points,(unsigned long) n);
        polygon_info->edges[edge].points=points;
        polygon_info->edges[edge].bounds=bounds;
        polygon_info->edges[edge].bounds.y1=points[0].y;
        polygon_info->edges[edge].bounds.y2=points[n-1].y;
        number_points=16;
        points=(PointInfo *)
          AcquireMagickMemory((size_t) number_points*sizeof(*points));
        if (points == (PointInfo *) NULL)
          return((PolygonInfo *) NULL);
        n=1;
        ghostline=MagickFalse;
        points[0]=point;
        bounds.x1=point.x;
        bounds.x2=point.x;
        edge++;
      }
    direction=next_direction;
    if (points == (PointInfo *) NULL)
      continue;
    if (n == (long) number_points)
      {
        number_points<<=1;
        points=(PointInfo *)
          ResizeMagickMemory(points,(size_t) number_points*sizeof(*points));
        if (points == (PointInfo *) NULL)
          return((PolygonInfo *) NULL);
      }
    point=path_info[i].point;
    points[n]=point;
    if (point.x < bounds.x1)
      bounds.x1=point.x;
    if (point.x > bounds.x2)
      bounds.x2=point.x;
    n++;
  }
  if (points != (PointInfo *) NULL)
    {
      if (n < 2)
        points=(PointInfo *) RelinquishMagickMemory(points);
      else
        {
          if (edge == number_edges)
            {
              number_edges<<=1;
              polygon_info->edges=(EdgeInfo *) ResizeMagickMemory(
                polygon_info->edges,(size_t) number_edges*
                sizeof(*polygon_info->edges));
              if (polygon_info->edges == (EdgeInfo *) NULL)
                return((PolygonInfo *) NULL);
            }
          polygon_info->edges[edge].number_points=(unsigned long) n;
          polygon_info->edges[edge].scanline=(-1.0);
          polygon_info->edges[edge].highwater=0;
          polygon_info->edges[edge].ghostline=ghostline;
          polygon_info->edges[edge].direction=(long) (direction > 0);
          if (direction < 0)
            ReversePoints(points,(unsigned long) n);
          polygon_info->edges[edge].points=points;
          polygon_info->edges[edge].bounds=bounds;
          polygon_info->edges[edge].bounds.y1=points[0].y;
          polygon_info->edges[edge].bounds.y2=points[n-1].y;
          ghostline=MagickFalse;
          edge++;
        }
    }
  polygon_info->number_edges=edge;
  qsort(polygon_info->edges,(size_t) polygon_info->number_edges,
    sizeof(*polygon_info->edges),CompareEdges);
  if (IsEventLogging() != MagickFalse)
    LogPolygonInfo(polygon_info);
  return(polygon_info);
}

/*
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                                                                             %
%                                                                             %
%                                                                             %
+   C o n v e r t P r i m i t i v e T o P a t h                               %
%                                                                             %
%                                                                             %
%                                                                             %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%  ConvertPrimitiveToPath() converts a PrimitiveInfo structure into a vector
%  path structure.
%
%  The format of the ConvertPrimitiveToPath method is:
%
%      PathInfo *ConvertPrimitiveToPath(const DrawInfo *draw_info,
%        const PrimitiveInfo *primitive_info)
%
%  A description of each parameter follows:
%
%    o Method ConvertPrimitiveToPath returns a vector path structure of type
%      PathInfo.
%
%    o draw_info: a structure of type DrawInfo.
%
%    o primitive_info: Specifies a pointer to an PrimitiveInfo structure.
%
%
*/

static void LogPathInfo(const PathInfo *path_info)
{
  register const PathInfo
    *p;

  (void) LogMagickEvent(DrawEvent,GetMagickModule(),"    begin vector-path");
  for (p=path_info; p->code != EndCode; p++)
    (void) LogMagickEvent(DrawEvent,GetMagickModule(),
      "      %g,%g %s",p->point.x,p->point.y,p->code == GhostlineCode ?
      "moveto ghostline" : p->code == OpenCode ? "moveto open" :
      p->code == MoveToCode ? "moveto" : p->code == LineToCode ? "lineto" :
      "?");
  (void) LogMagickEvent(DrawEvent,GetMagickModule(),"    end vector-path");
}

static PathInfo *ConvertPrimitiveToPath(
  const DrawInfo *magick_unused(draw_info),const PrimitiveInfo *primitive_info)
{
  long
    coordinates,
    start;

  PathInfo
    *path_info;

  PathInfoCode
    code;

  PointInfo
    p,
    q;

  register long
    i,
    n;

  /*
    Converts a PrimitiveInfo structure into a vector path structure.
  */
  switch (primitive_info->primitive)
  {
    case PointPrimitive:
    case ColorPrimitive:
    case MattePrimitive:
    case TextPrimitive:
    case ImagePrimitive:
      return((PathInfo *) NULL);
    default:
      break;
  }
  for (i=0; primitive_info[i].primitive != UndefinedPrimitive; i++);
  path_info=(PathInfo *)
    AcquireMagickMemory((size_t) (2*i+3)*sizeof(*path_info));
  if (path_info == (PathInfo *) NULL)
    return((PathInfo *) NULL);
  coordinates=0;
  n=0;
  p.x=(-1.0);
  p.y=(-1.0);
  q.x=(-1.0);
  q.y=(-1.0);
  start=0;
  for (i=0; primitive_info[i].primitive != UndefinedPrimitive; i++)
  {
    code=LineToCode;
    if (coordinates <= 0)
      {
        coordinates=(long) primitive_info[i].coordinates;
        p=primitive_info[i].point;
        start=n;
        code=MoveToCode;
      }
    coordinates--;
    /*
      Eliminate duplicate points.
    */
    if ((i == 0) || (fabs(q.x-primitive_info[i].point.x) > MagickEpsilon) ||
        (fabs(q.y-primitive_info[i].point.y) > MagickEpsilon))
      {
        path_info[n].code=code;
        path_info[n].point=primitive_info[i].point;
        q=primitive_info[i].point;
        n++;
      }
    if (coordinates > 0)
      continue;
    if ((fabs(p.x-primitive_info[i].point.x) <= MagickEpsilon) &&
        (fabs(p.y-primitive_info[i].point.y) <= MagickEpsilon))
      continue;
    /*
      Mark the p point as open if it does not match the q.
    */
    path_info[start].code=OpenCode;
    path_info[n].code=GhostlineCode;
    path_info[n].point=primitive_info[i].point;
    n++;
    path_info[n].code=LineToCode;
    path_info[n].point=p;
    n++;
  }
  path_info[n].code=EndCode;
  path_info[n].point.x=0.0;
  path_info[n].point.y=0.0;
  if (IsEventLogging() != MagickFalse)
    LogPathInfo(path_info);
  return(path_info);
}

/*
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                                                                             %
%                                                                             %
%                                                                             %
%   D e s t r o y D r a w I n f o                                             %
%                                                                             %
%                                                                             %
%                                                                             %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%  DestroyDrawInfo() deallocates memory associated with an DrawInfo
%  structure.
%
%  The format of the DestroyDrawInfo method is:
%
%      DrawInfo *DestroyDrawInfo(DrawInfo *draw_info)
%
%  A description of each parameter follows:
%
%    o draw_info: The draw info.
%
%
*/
MagickExport DrawInfo *DestroyDrawInfo(DrawInfo *draw_info)
{
  if (draw_info->debug != MagickFalse)
    (void) LogMagickEvent(TraceEvent,GetMagickModule(),"...");
  assert(draw_info != (DrawInfo *) NULL);
  assert(draw_info->signature == MagickSignature);
  if (draw_info->primitive != (char *) NULL)
    draw_info->primitive=(char *) RelinquishMagickMemory(draw_info->primitive);
  if (draw_info->text != (char *) NULL)
    draw_info->text=(char *) RelinquishMagickMemory(draw_info->text);
  if (draw_info->geometry != (char *) NULL)
    draw_info->geometry=(char *) RelinquishMagickMemory(draw_info->geometry);
  if (draw_info->tile != (Image *) NULL)
    draw_info->tile=DestroyImage(draw_info->tile);
  if (draw_info->fill_pattern != (Image *) NULL)
    draw_info->fill_pattern=DestroyImage(draw_info->fill_pattern);
  if (draw_info->stroke_pattern != (Image *) NULL)
    draw_info->stroke_pattern=DestroyImage(draw_info->stroke_pattern);
  if (draw_info->font != (char *) NULL)
    draw_info->font=(char *) RelinquishMagickMemory(draw_info->font);
  if (draw_info->metrics != (char *) NULL)
    draw_info->metrics=(char *) RelinquishMagickMemory(draw_info->metrics);
  if (draw_info->family != (char *) NULL)
    draw_info->family=(char *) RelinquishMagickMemory(draw_info->family);
  if (draw_info->encoding != (char *) NULL)
    draw_info->encoding=(char *) RelinquishMagickMemory(draw_info->encoding);
  if (draw_info->density != (char *) NULL)
    draw_info->density=(char *) RelinquishMagickMemory(draw_info->density);
  if (draw_info->server_name != (char *) NULL)
    draw_info->server_name=(char *)
     RelinquishMagickMemory(draw_info->server_name);
  if (draw_info->dash_pattern != (double *) NULL)
    draw_info->dash_pattern=(double *)
      RelinquishMagickMemory(draw_info->dash_pattern);
  if (draw_info->clip_path != (char *) NULL)
    draw_info->clip_path=(char *) RelinquishMagickMemory(draw_info->clip_path);
  draw_info->signature=(~MagickSignature);
  draw_info=(DrawInfo *) RelinquishMagickMemory(draw_info);
  return(draw_info);
}

/*
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                                                                             %
%                                                                             %
%                                                                             %
+   D e s t r o y E d g e                                                     %
%                                                                             %
%                                                                             %
%                                                                             %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%  DestroyEdge() destroys the specified polygon edge.
%
%  The format of the DestroyEdge method is:
%
%      long DestroyEdge(PolygonInfo *polygon_info,const int edge)
%
%  A description of each parameter follows:
%
%    o polygon_info: Specifies a pointer to an PolygonInfo structure.
%
%    o edge: the polygon edge number to destroy.
%
%
*/
static unsigned long DestroyEdge(PolygonInfo *polygon_info,
  const unsigned long edge)
{
  assert(edge < polygon_info->number_edges);
  polygon_info->edges[edge].points=(PointInfo *)
    RelinquishMagickMemory(polygon_info->edges[edge].points);
  polygon_info->number_edges--;
  if (edge < polygon_info->number_edges)
    (void) CopyMagickMemory(polygon_info->edges+edge,polygon_info->edges+edge+1,
      (size_t) (polygon_info->number_edges-edge)*sizeof(*polygon_info->edges));
  return(polygon_info->number_edges);
}

#if defined(MagickFuture)
/*
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                                                                             %
%                                                                             %
%                                                                             %
+   D e s t r o y G r a d i e n t I n f o                                     %
%                                                                             %
%                                                                             %
%                                                                             %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%  DestroyGradientInfo() deallocates memory associated with the GradientInfo
%  list.
%
%  The format of the DestroyGradientInfo method is:
%
%      DestroyGradientInfo(GradientInfo *gradient_info)
%
%  A description of each parameter follows:
%
%    o gradient_info: The gradient info.
%
%
*/
static void DestroyGradientInfo(GradientInfo *gradient_info)
{
  register GradientInfo
    *p;

  if (gradient_info->debug != MagickFalse)
    (void) LogMagickEvent(TraceEvent,GetMagickModule(),"...");
  if (gradient_info == (GradientInfo *) NULL)
    return;
  assert(gradient_info->signature == MagickSignature);
  for (p=gradient_info; p->previous != (GradientInfo *) NULL; p=p->previous);
  for (gradient_info=p; p != (GradientInfo *) NULL; gradient_info=p)
  {
    p=p->next;
    gradient_info=(GradientInfo *) RelinquishMagickMemory(gradient_info);
  }
}
#endif

/*
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                                                                             %
%                                                                             %
%                                                                             %
+   D e s t r o y P o l y g o n I n f o                                       %
%                                                                             %
%                                                                             %
%                                                                             %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%  DestroyPolygonInfo() destroys the PolygonInfo data structure.
%
%  The format of the DestroyPolygonInfo method is:
%
%      void DestroyPolygonInfo(PolygonInfo *polygon_info)
%
%  A description of each parameter follows:
%
%    o polygon_info: Specifies a pointer to an PolygonInfo structure.
%
%
*/
static void DestroyPolygonInfo(PolygonInfo *polygon_info)
{
  register long
    i;

  for (i=0; i < (long) polygon_info->number_edges; i++)
    polygon_info->edges[i].points=(PointInfo *)
      RelinquishMagickMemory(polygon_info->edges[i].points);
  polygon_info->edges=(EdgeInfo *) RelinquishMagickMemory(polygon_info->edges);
  polygon_info=(PolygonInfo *) RelinquishMagickMemory(polygon_info);
}

/*
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                                                                             %
%                                                                             %
%     D r a w A f f i n e I m a g e                                           %
%                                                                             %
%                                                                             %
%                                                                             %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%  DrawAffineImage() composites the source over the destination image as
%  dictated by the affine transform.
%
%  The format of the DrawAffineImage method is:
%
%      MagickBooleanType DrawAffineImage(Image *image,const Image *source,
%        const AffineMatrix *affine)
%
%  A description of each parameter follows:
%
%    o image: The image.
%
%    o source: The source image.
%
%    o affine: The affine transform.
%
%
*/

static SegmentInfo AffineEdge(const Image *image,const AffineMatrix *affine,
  const double y,const SegmentInfo *edge)
{
  double
    intercept,
    z;

  register double
    x;

  SegmentInfo
    inverse_edge;

  /*
    Determine left and right edges.
  */
  inverse_edge.x1=edge->x1;
  inverse_edge.x2=edge->x2;
  z=affine->ry*y+affine->tx;
  if (affine->sx > MagickEpsilon)
    {
      intercept=(-z/affine->sx);
      x=intercept+MagickEpsilon;
      if (x > inverse_edge.x1)
        inverse_edge.x1=x;
      intercept=(-z+(double) image->columns)/affine->sx;
      x=intercept-MagickEpsilon;
      if (x < inverse_edge.x2)
        inverse_edge.x2=x;
    }
  else
    if (affine->sx < -MagickEpsilon)
      {
        intercept=(-z+(double) image->columns)/affine->sx;
        x=intercept+MagickEpsilon;
        if (x > inverse_edge.x1)
          inverse_edge.x1=x;
        intercept=(-z/affine->sx);
        x=intercept-MagickEpsilon;
        if (x < inverse_edge.x2)
          inverse_edge.x2=x;
      }
    else
      if ((z < 0.0) || ((unsigned long) (z+0.5) >= image->columns))
        {
          inverse_edge.x2=edge->x1;
          return(inverse_edge);
        }
  /*
    Determine top and bottom edges.
  */
  z=affine->sy*y+affine->ty;
  if (affine->rx > MagickEpsilon)
    {
      intercept=(-z /affine->rx);
      x=intercept+MagickEpsilon;
      if (x > inverse_edge.x1)
        inverse_edge.x1=x;
      intercept=(-z+(double) image->rows)/affine->rx;
      x=intercept-MagickEpsilon;
      if (x < inverse_edge.x2)
        inverse_edge.x2=x;
    }
  else
    if (affine->rx < -MagickEpsilon)
      {
        intercept=(-z+(double) image->rows)/affine->rx;
        x=intercept+MagickEpsilon;
        if (x > inverse_edge.x1)
          inverse_edge.x1=x;
        intercept=(-z/affine->rx);
        x=intercept-MagickEpsilon;
        if (x < inverse_edge.x2)
          inverse_edge.x2=x;
      }
    else
      if ((z < 0.0) || ((unsigned long) (z+0.5) >= image->rows))
        {
          inverse_edge.x2=edge->x1;
          return(inverse_edge);
        }
  return(inverse_edge);
}

static MagickPixelPacket InterpolateColor(const Image *image,
  ViewInfo *image_view,const double x_offset,const double y_offset,
  ExceptionInfo *exception)
{
  MagickPixelPacket
    pixel,
    pixels[4];

  MagickRealType
    alpha[4],
    gamma;

  PointInfo
    delta;

  register const PixelPacket
    *p;

  register IndexPacket
    *indexes;

  register long
    i;

  assert(image != (Image *) NULL);
  assert(image->signature == MagickSignature);
  GetMagickPixelPacket(image,&pixel);
  p=AcquireCacheView(image_view,(long) x_offset,(long) y_offset,2,2,exception);
  if (p == (const PixelPacket *) NULL)
    return(pixel);
  for (i=0; i < 4L; i++)
  {
    indexes=GetCacheViewIndexes(image_view);
    alpha[i]=1.0;
    if (image->matte != MagickFalse)
      alpha[i]=QuantumScale*((MagickRealType) QuantumRange-p->opacity);
    GetMagickPixelPacket(image,pixels+i);
    SetMagickPixelPacket(p,indexes,pixels+i);
    pixels[i].red*=alpha[i];
    pixels[i].green*=alpha[i];
    pixels[i].blue*=alpha[i];
    if (image->colorspace == CMYKColorspace)
      pixels[i].index*=alpha[i];
    p++;
  }
  delta.x=x_offset-floor(x_offset);
  delta.y=y_offset-floor(y_offset);
  gamma=(((1.0-delta.y)*((1.0-delta.x)*alpha[0]+delta.x*alpha[1])+
    delta.y*((1.0-delta.x)*alpha[2]+delta.x*alpha[3])));
  gamma=1.0/(fabs((double) gamma) <= MagickEpsilon ? 1.0 : gamma);
  pixel.red=(gamma*((1.0-delta.y)*((1.0-delta.x)*pixels[0].red+delta.x*
    pixels[1].red)+delta.y*((1.0-delta.x)*pixels[2].red+delta.x*
    pixels[3].red)));
  pixel.green=(gamma*((1.0-delta.y)*((1.0-delta.x)*pixels[0].green+delta.x*
    pixels[1].green)+delta.y*((1.0-delta.x)*pixels[2].green+delta.x*
    pixels[3].green)));
  pixel.blue=(gamma*((1.0-delta.y)*((1.0-delta.x)*pixels[0].blue+delta.x*
    pixels[1].blue)+delta.y*((1.0-delta.x)*pixels[2].blue+delta.x*
    pixels[3].blue)));
  if (image->matte != MagickFalse)
    pixel.opacity=((1.0-delta.y)*((1.0-delta.x)*pixels[0].opacity+delta.x*
      pixels[1].opacity)+delta.y*((1.0-delta.x)*pixels[2].opacity+delta.x*
      pixels[3].opacity));
  if (image->colorspace == CMYKColorspace)
    pixel.index=(gamma*((1.0-delta.y)*((1.0-delta.x)*pixels[0].index+delta.x*
      pixels[1].index)+delta.y*((1.0-delta.x)*pixels[2].index+delta.x*
      pixels[3].index)));
  return(pixel);
}

static AffineMatrix InverseAffineMatrix(const AffineMatrix *affine)
{
  AffineMatrix
    inverse_affine;

  double
    determinant;

  determinant=1.0/(affine->sx*affine->sy-affine->rx*affine->ry);
  inverse_affine.sx=determinant*affine->sy;
  inverse_affine.rx=determinant*(-affine->rx);
  inverse_affine.ry=determinant*(-affine->ry);
  inverse_affine.sy=determinant*affine->sx;
  inverse_affine.tx=(-affine->tx)*inverse_affine.sx-affine->ty*
    inverse_affine.ry;
  inverse_affine.ty=(-affine->tx)*inverse_affine.rx-affine->ty*
    inverse_affine.sy;
  return(inverse_affine);
}

MagickExport MagickBooleanType DrawAffineImage(Image *image,
  const Image *source,const AffineMatrix *affine)
{
  AffineMatrix
    inverse_affine;

  long
    x_offset,
    y;

  MagickPixelPacket
    composite,
    pixel;

  PointInfo
    extent[4],
    min,
    max,
    point;

  register long
    i,
    x;

  register IndexPacket
    *indexes;

  register PixelPacket
    *q;

  SegmentInfo
    edge,
    inverse_edge;

  ViewInfo
    *image_view,
    *source_view;

  /*
    Determine bounding box.
  */
  assert(image != (Image *) NULL);
  assert(image->signature == MagickSignature);
  if (image->debug != MagickFalse)
    (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
  assert(source != (const Image *) NULL);
  assert(source->signature == MagickSignature);
  assert(affine != (AffineMatrix *) NULL);
  extent[0].x=0.0;
  extent[0].y=0.0;
  extent[1].x=(double) source->columns;
  extent[1].y=0.0;
  extent[2].x=(double) source->columns;
  extent[2].y=(double) source->rows;
  extent[3].x=0.0;
  extent[3].y=(double) source->rows;
  for (i=0; i < 4; i++)
  {
    point=extent[i];
    extent[i].x=point.x*affine->sx+point.y*affine->ry+affine->tx;
    extent[i].y=point.x*affine->rx+point.y*affine->sy+affine->ty;
  }
  min=extent[0];
  max=extent[0];
  for (i=1; i < 4; i++)
  {
    if (min.x > extent[i].x)
      min.x=extent[i].x;
    if (min.y > extent[i].y)
      min.y=extent[i].y;
    if (max.x < extent[i].x)
      max.x=extent[i].x;
    if (max.y < extent[i].y)
      max.y=extent[i].y;
  }
  /*
    Affine transform image.
  */
  if (SetImageStorageClass(image,DirectClass) == MagickFalse)
    return(MagickFalse);
  GetMagickPixelPacket(image,&pixel);
  GetMagickPixelPacket(image,&composite);
  edge.x1=Max(min.x,0.0);
  edge.y1=Max(min.y,0.0);
  edge.x2=Min(max.x,(double) image->columns-1.0);
  edge.y2=Min(max.y,(double) image->rows-1.0);
  inverse_affine=InverseAffineMatrix(affine);
  image_view=OpenCacheView(image);
  source_view=OpenCacheView(source);
  for (y=(long) (edge.y1+0.5); y < (long) (edge.y2+0.5); y++)
  {
    inverse_edge=AffineEdge(source,&inverse_affine,(double) y,&edge);
    if (inverse_edge.x2 < inverse_edge.x1)
      continue;
    q=GetCacheView(image_view,(long) (inverse_edge.x1+0.5),y,(unsigned long)
      (inverse_edge.x2-inverse_edge.x1+0.5),1);
    if (q == (PixelPacket *) NULL)
      continue;
    indexes=GetCacheViewIndexes(image_view);
    x_offset=0;
    for (x=(long) (inverse_edge.x1+0.5); x < (long) (inverse_edge.x2+0.5); x++)
    {
      point.x=(double) x*inverse_affine.sx+y*inverse_affine.ry+
        inverse_affine.tx;
      point.y=(double) x*inverse_affine.rx+y*inverse_affine.sy+
        inverse_affine.ty;
      pixel=InterpolateColor(source,source_view,point.x,point.y,
        &image->exception);
      SetMagickPixelPacket(q,indexes+x_offset,&composite);
      MagickPixelCompositeOver(&pixel,pixel.opacity,&composite,
        composite.opacity,&composite);
      SetPixelPacket(&composite,q,indexes+x_offset);
      x_offset++;
      q++;
    }
    if (SyncCacheView(image_view) == MagickFalse)
      break;
  }
  source_view=CloseCacheView(source_view);
  image_view=CloseCacheView(image_view);
  return(MagickTrue);
}

/*
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                                                                             %
%                                                                             %
%                                                                             %
+   D r a w B o u n d i n g R e c t a n g l e s                               %
%                                                                             %
%                                                                             %
%                                                                             %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%  DrawBoundingRectangles() draws the bounding rectangles on the image.  This
%  is only useful for developers debugging the rendering algorithm.
%
%  The format of the DrawBoundingRectangles method is:
%
%      void DrawBoundingRectangles(Image *image,const DrawInfo *draw_info,
%        PolygonInfo *polygon_info)
%
%  A description of each parameter follows:
%
%    o image: The image.
%
%    o draw_info: The draw info.
%
%    o polygon_info: Specifies a pointer to a PolygonInfo structure.
%
%
*/
static void DrawBoundingRectangles(Image *image,const DrawInfo *draw_info,
  const PolygonInfo *polygon_info)
{
  DrawInfo
    *clone_info;

  long
    coordinates;

  MagickRealType
    mid;

  PointInfo
    end,
    resolution,
    start;

  PrimitiveInfo
    primitive_info[6];

  register long
    i;

  SegmentInfo
    bounds;

  clone_info=CloneDrawInfo((ImageInfo *) NULL,draw_info);
  (void) QueryColorDatabase("#000000ff",&clone_info->fill,&image->exception);
  resolution.x=DefaultResolution;
  resolution.y=DefaultResolution;
  if (clone_info->density != (char *) NULL)
    {
      GeometryInfo
        geometry_info;

      MagickStatusType
        flags;

      flags=ParseGeometry(clone_info->density,&geometry_info);
      resolution.x=geometry_info.rho;
      resolution.y=geometry_info.sigma;
      if ((flags & SigmaValue) == MagickFalse)
        resolution.y=resolution.x;
    }
  mid=(resolution.x/72.0)*ExpandAffine(&clone_info->affine)*
    clone_info->stroke_width/2.0;
  bounds.x1=0.0;
  bounds.y1=0.0;
  bounds.x2=0.0;
  bounds.y2=0.0;
  if (polygon_info != (PolygonInfo *) NULL)
    {
      bounds=polygon_info->edges[0].bounds;
      for (i=1; i < (long) polygon_info->number_edges; i++)
      {
        if (polygon_info->edges[i].bounds.x1 < (double) bounds.x1)
          bounds.x1=polygon_info->edges[i].bounds.x1;
        if (polygon_info->edges[i].bounds.y1 < (double) bounds.y1)
          bounds.y1=polygon_info->edges[i].bounds.y1;
        if (polygon_info->edges[i].bounds.x2 > (double) bounds.x2)
          bounds.x2=polygon_info->edges[i].bounds.x2;
        if (polygon_info->edges[i].bounds.y2 > (double) bounds.y2)
          bounds.y2=polygon_info->edges[i].bounds.y2;
      }
      bounds.x1-=mid;
      bounds.x1=bounds.x1 < 0.0 ? 0.0 : bounds.x1 >= (double)
        image->columns ? (double) image->columns-1 : bounds.x1;
      bounds.y1-=mid;
      bounds.y1=bounds.y1 < 0.0 ? 0.0 : bounds.y1 >= (double)
        image->rows ? (double) image->rows-1 : bounds.y1;
      bounds.x2+=mid;
      bounds.x2=bounds.x2 < 0.0 ? 0.0 : bounds.x2 >= (double)
        image->columns ? (double) image->columns-1 : bounds.x2;
      bounds.y2+=mid;
      bounds.y2=bounds.y2 < 0.0 ? 0.0 : bounds.y2 >= (double)
        image->rows ? (double) image->rows-1 : bounds.y2;
      for (i=0; i < (long) polygon_info->number_edges; i++)
      {
        if (polygon_info->edges[i].direction != 0)
          (void) QueryColorDatabase("red",&clone_info->stroke,
            &image->exception);
        else
          (void) QueryColorDatabase("green",&clone_info->stroke,
            &image->exception);
        start.x=(double) (polygon_info->edges[i].bounds.x1-mid);
        start.y=(double) (polygon_info->edges[i].bounds.y1-mid);
        end.x=(double) (polygon_info->edges[i].bounds.x2+mid);
        end.y=(double) (polygon_info->edges[i].bounds.y2+mid);
        primitive_info[0].primitive=RectanglePrimitive;
        TraceRectangle(primitive_info,start,end);
        primitive_info[0].method=ReplaceMethod;
        coordinates=(long) primitive_info[0].coordinates;
        primitive_info[coordinates].primitive=UndefinedPrimitive;
        (void) DrawPrimitive(image,clone_info,primitive_info);
      }
    }
  (void) QueryColorDatabase("blue",&clone_info->stroke,&image->exception);
  start.x=(double) (bounds.x1-mid);
  start.y=(double) (bounds.y1-mid);
  end.x=(double) (bounds.x2+mid);
  end.y=(double) (bounds.y2+mid);
  primitive_info[0].primitive=RectanglePrimitive;
  TraceRectangle(primitive_info,start,end);
  primitive_info[0].method=ReplaceMethod;
  coordinates=(long) primitive_info[0].coordinates;
  primitive_info[coordinates].primitive=UndefinedPrimitive;
  (void) DrawPrimitive(image,clone_info,primitive_info);
  clone_info=DestroyDrawInfo(clone_info);
}

/*
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                                                                             %
%                                                                             %
%                                                                             %
%   D r a w C l i p P a t h                                                   %
%                                                                             %
%                                                                             %
%                                                                             %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%  DrawClipPath() draws the clip path on the image mask.
%
%  The format of the DrawClipPath method is:
%
%      MagickBooleanType DrawClipPath(Image *image,const DrawInfo *draw_info,
%        const char *name)
%
%  A description of each parameter follows:
%
%    o image: The image.
%
%    o draw_info: The draw info.
%
%    o name: The name of the clip path.
%
%
*/
MagickExport MagickBooleanType DrawClipPath(Image *image,
  const DrawInfo *draw_info,const char *name)
{
  char
    clip_path[MaxTextExtent];

  const ImageAttribute
    *attribute;

  DrawInfo
    *clone_info;

  MagickStatusType
    status;

  assert(image != (Image *) NULL);
  assert(image->signature == MagickSignature);
  if (image->debug != MagickFalse)
    (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
  assert(draw_info != (const DrawInfo *) NULL);
  (void) FormatMagickString(clip_path,MaxTextExtent,"[%s]",name);
  attribute=GetImageAttribute(image,clip_path);
  if (attribute == (ImageAttribute *) NULL)
    return(MagickFalse);
  if (image->clip_mask == (Image *) NULL)
    {
      Image
        *clip_mask;

      clip_mask=CloneImage(image,image->columns,image->rows,MagickTrue,
        &image->exception);
      if (clip_mask == (Image *) NULL)
        return(MagickFalse);
      (void) SetImageClipMask(image,clip_mask);
      clip_mask=DestroyImage(clip_mask);
    }
  (void) QueryColorDatabase("none",&image->clip_mask->background_color,
    &image->exception);
  image->clip_mask->background_color.opacity=TransparentOpacity;
  SetImageBackgroundColor(image->clip_mask);
  if (image->debug != MagickFalse)
    (void) LogMagickEvent(DrawEvent,GetMagickModule(),"\nbegin clip-path %s",
      draw_info->clip_path);
  clone_info=CloneDrawInfo((ImageInfo *) NULL,draw_info);
  (void) CloneString(&clone_info->primitive,attribute->value);
  (void) QueryColorDatabase("white",&clone_info->fill,&image->exception);
  clone_info->clip_path=(char *) NULL;
  status=DrawImage(image->clip_mask,clone_info);
  status|=NegateImage(image->clip_mask,MagickFalse);
  clone_info=DestroyDrawInfo(clone_info);
  if (image->debug != MagickFalse)
    (void) LogMagickEvent(DrawEvent,GetMagickModule(),"end clip-path");
  return(status != 0 ? MagickTrue : MagickFalse);
}

/*
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                                                                             %
%                                                                             %
%                                                                             %
+   D r a w D a s h P o l y g o n                                             %
%                                                                             %
%                                                                             %
%                                                                             %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%  DrawDashPolygon() draws a dashed polygon (line, rectangle, ellipse) on the
%  image while respecting the dash offset and dash pattern attributes.
%
%  The format of the DrawDashPolygon method is:
%
%      MagickBooleanType DrawDashPolygon(const DrawInfo *draw_info,
%        const PrimitiveInfo *primitive_info,Image *image)
%
%  A description of each parameter follows:
%
%    o draw_info: The draw info.
%
%    o primitive_info: Specifies a pointer to a PrimitiveInfo structure.
%
%    o image: The image.
%
%
*/
static MagickBooleanType DrawDashPolygon(const DrawInfo *draw_info,
  const PrimitiveInfo *primitive_info,Image *image)
{
  DrawInfo
    *clone_info;

  int
    j,
    n;

  MagickRealType
    length,
    maximum_length,
    offset,
    scale,
    total_length;

  MagickStatusType
    status;

  PrimitiveInfo
    *dash_polygon;

  register long
    i;

  register MagickRealType
    dx,
    dy;

  unsigned long
    number_vertices;

  assert(draw_info != (const DrawInfo *) NULL);
  if (image->debug != MagickFalse)
    (void) LogMagickEvent(DrawEvent,GetMagickModule(),"    begin draw-dash");
  clone_info=CloneDrawInfo((ImageInfo *) NULL,draw_info);
  clone_info->miterlimit=0;
  for (i=0; primitive_info[i].primitive != UndefinedPrimitive; i++);
  number_vertices=(unsigned long) i;
  dash_polygon=(PrimitiveInfo *)
    AcquireMagickMemory((size_t) (2*number_vertices+1)*sizeof(*dash_polygon));
  if (dash_polygon == (PrimitiveInfo *) NULL)
    return(MagickFalse);
  dash_polygon[0]=primitive_info[0];
  scale=ExpandAffine(&draw_info->affine);
  length=scale*draw_info->dash_pattern[0];
  offset=draw_info->dash_offset != 0.0 ? scale*draw_info->dash_offset : 0.0;
  j=1;
  for (n=0; offset > 0.0; j=0)
  {
    if (draw_info->dash_pattern[n] <= 0.0)
      break;
    length=scale*draw_info->dash_pattern[n];
    if (offset > length)
      {
        offset-=length;
        n++;
        length=scale*draw_info->dash_pattern[n];
        continue;
      }
    if (offset < length)
      {
        length-=offset;
        offset=0.0;
        break;
      }
    offset=0.0;
    n++;
  }
  status=MagickTrue;
  maximum_length=0.0;
  total_length=0.0;
  for (i=1; i < (long) number_vertices; i++)
  {
    dx=primitive_info[i].point.x-primitive_info[i-1].point.x;
    dy=primitive_info[i].point.y-primitive_info[i-1].point.y;
    maximum_length=sqrt((double) (dx*dx+dy*dy+MagickEpsilon));
    if (length == 0.0)
      {
        n++;
        if (draw_info->dash_pattern[n] == 0.0)
          n=0;
        length=scale*draw_info->dash_pattern[n];
      }
    for (total_length=0.0; (total_length+length) < maximum_length; )
    {
      total_length+=length;
      if ((n & 0x01) != 0)
        {
          dash_polygon[0]=primitive_info[0];
          dash_polygon[0].point.x=(double) (primitive_info[i-1].point.x+dx*
            total_length/maximum_length);
          dash_polygon[0].point.y=(double) (primitive_info[i-1].point.y+dy*
            total_length/maximum_length);
          j=1;
        }
      else
        {
          dash_polygon[j]=primitive_info[i-1];
          dash_polygon[j].point.x=(double) (primitive_info[i-1].point.x+dx*
            total_length/maximum_length);
          dash_polygon[j].point.y=(double) (primitive_info[i-1].point.y+dy*
            total_length/maximum_length);
          dash_polygon[j].coordinates=1;
          j++;
          dash_polygon[0].coordinates=(unsigned long) j;
          dash_polygon[j].primitive=UndefinedPrimitive;
          status|=DrawStrokePolygon(image,clone_info,dash_polygon);
        }
      n++;
      if (draw_info->dash_pattern[n] == 0.0)
        n=0;
      length=scale*draw_info->dash_pattern[n];
    }
    length-=(maximum_length-total_length);
    if ((n & 0x01) != 0)
      continue;
    dash_polygon[j]=primitive_info[i];
    dash_polygon[j].coordinates=1;
    j++;
  }
  if ((total_length < maximum_length) && ((n & 0x01) == 0) && (j > 1))
    {
      dash_polygon[j]=primitive_info[i-1];
      dash_polygon[j].coordinates=1;
      j++;
      dash_polygon[0].coordinates=(unsigned long) j;
      dash_polygon[j].primitive=UndefinedPrimitive;
      status|=DrawStrokePolygon(image,clone_info,dash_polygon);
    }
  dash_polygon=(PrimitiveInfo *) RelinquishMagickMemory(dash_polygon);
  clone_info=DestroyDrawInfo(clone_info);
  if (image->debug != MagickFalse)
    (void) LogMagickEvent(DrawEvent,GetMagickModule(),"    end draw-dash");
  return(status != 0 ? MagickTrue : MagickFalse);
}

/*
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                                                                             %
%                                                                             %
%                                                                             %
%   D r a w I m a g e                                                         %
%                                                                             %
%                                                                             %
%                                                                             %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%  DrawImage() draws a graphic primitive on your image.  The primitive
%  may be represented as a string or filename.  Precede the filename with an
%  "at" sign (@) and the contents of the file are drawn on the image.  You
%  can affect how text is drawn by setting one or more members of the draw
%  info structure.
%
%  The format of the DrawImage method is:
%
%      MagickBooleanType DrawImage(Image *image,const DrawInfo *draw_info)
%
%  A description of each parameter follows:
%
%    o image: The image.
%
%    o draw_info: The draw info.
%
%
*/

static inline MagickBooleanType IsPoint(const char *point)
{
  char
    *p;

  (void) strtol(point,&p,10);
  return(p != point ? MagickTrue : MagickFalse);
}

static inline void TracePoint(PrimitiveInfo *primitive_info,
  const PointInfo point)
{
  primitive_info->coordinates=1;
  primitive_info->point=point;
}

MagickExport MagickBooleanType DrawImage(Image *image,const DrawInfo *draw_info)
{
#define RenderImageTag  "Render/Image"

  AffineMatrix
    affine,
    current;

  char
    key[2*MaxTextExtent],
    keyword[MaxTextExtent],
    geometry[MaxTextExtent],
    name[MaxTextExtent],
    pattern[MaxTextExtent],
    *primitive,
    *q,
    *token;

  DrawInfo
    **graphic_context;

  long
    j,
    k,
    n;

  MagickBooleanType
    status;

  MagickRealType
    angle,
    factor,
    primitive_extent;

  PointInfo
    point;

  PixelPacket
    start_color;

  PrimitiveInfo
    *primitive_info;

  PrimitiveType
    primitive_type;

  register char
    *p;

  register long
    i,
    x;

  SegmentInfo
    bounds;

  size_t
    length;

  unsigned long
    number_points;

  /*
    Ensure the annotation info is valid.
  */
  assert(image != (Image *) NULL);
  assert(image->signature == MagickSignature);
  if (image->debug != MagickFalse)
    (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
  assert(draw_info != (DrawInfo *) NULL);
  assert(draw_info->signature == MagickSignature);
  if (image->debug != MagickFalse)
    (void) LogMagickEvent(TraceEvent,GetMagickModule(),"...");
  if ((draw_info->primitive == (char *) NULL) ||
      (*draw_info->primitive == '\0'))
    return(MagickFalse);
  if (image->debug != MagickFalse)
    (void) LogMagickEvent(DrawEvent,GetMagickModule(),"begin draw-image");
  if (*draw_info->primitive != '@')
    primitive=AcquireString(draw_info->primitive);
  else
    primitive=FileToString(draw_info->primitive+1,~0,&image->exception);
  if (primitive == (char *) NULL)
    return(MagickFalse);
  primitive_extent=(MagickRealType) strlen(primitive);
  (void) SetImageAttribute(image,"[MVG]",primitive);
  n=0;
  /*
    Allocate primitive info memory.
  */
  graphic_context=(DrawInfo **) AcquireMagickMemory(sizeof(*graphic_context));
  if (graphic_context == (DrawInfo **) NULL)
    {
      primitive=(char *) RelinquishMagickMemory(primitive);
      ThrowBinaryException(ResourceLimitError,"MemoryAllocationFailed",
        image->filename);
    }
  number_points=2047;
  primitive_info=(PrimitiveInfo *)
    AcquireMagickMemory((size_t) number_points*sizeof(*primitive_info));
  if (primitive_info == (PrimitiveInfo *) NULL)
    {
      primitive=(char *) RelinquishMagickMemory(primitive);
      for ( ; n >= 0; n--)
        graphic_context[n]=DestroyDrawInfo(graphic_context[n]);
      graphic_context=(DrawInfo **) RelinquishMagickMemory(graphic_context);
      ThrowBinaryException(ResourceLimitError,"MemoryAllocationFailed",
        image->filename);
    }
  graphic_context[n]=CloneDrawInfo((ImageInfo *) NULL,draw_info);
  graphic_context[n]->viewbox=image->page;
  if ((image->page.width == 0) || (image->page.height == 0))
    {
      graphic_context[n]->viewbox.width=image->columns;
      graphic_context[n]->viewbox.height=image->rows;
    }
  token=AcquireString(primitive);
  (void) QueryColorDatabase("black",&start_color,&image->exception);
  if (SetImageStorageClass(image,DirectClass) == MagickFalse)
    return(MagickFalse);
  status=MagickTrue;
  for (q=primitive; *q != '\0'; )
  {
    /*
      Interpret graphic primitive.
    */
    GetMagickToken(q,&q,keyword);
    if (*keyword == '\0')
      break;
    if (*keyword == '#')
      {
        /*
          Comment.
        */
        while ((*q != '\n') && (*q != '\0'))
          q++;
        continue;
      }
    p=q-strlen(keyword)-1;
    primitive_type=UndefinedPrimitive;
    current=graphic_context[n]->affine;
    GetAffineMatrix(&affine);
    switch (*keyword)
    {
      case ';':
        break;
      case 'a':
      case 'A':
      {
        if (LocaleCompare("affine",keyword) == 0)
          {
            GetMagickToken(q,&q,token);
            affine.sx=atof(token);
            GetMagickToken(q,&q,token);
            if (*token == ',')
              GetMagickToken(q,&q,token);
            affine.rx=atof(token);
            GetMagickToken(q,&q,token);
            if (*token == ',')
              GetMagickToken(q,&q,token);
            affine.ry=atof(token);
            GetMagickToken(q,&q,token);
            if (*token == ',')
              GetMagickToken(q,&q,token);
            affine.sy=atof(token);
            GetMagickToken(q,&q,token);
            if (*token == ',')
              GetMagickToken(q,&q,token);
            affine.tx=atof(token);
            GetMagickToken(q,&q,token);
            if (*token == ',')
              GetMagickToken(q,&q,token);
            affine.ty=atof(token);
            break;
          }
        if (LocaleCompare("arc",keyword) == 0)
          {
            primitive_type=ArcPrimitive;
            break;
          }
        status=MagickFalse;
        break;
      }
      case 'b':
      case 'B':
      {
        if (LocaleCompare("bezier",keyword) == 0)
          {
            primitive_type=BezierPrimitive;
            break;
          }
        status=MagickFalse;
        break;
      }
      case 'c':
      case 'C':
      {
        if (LocaleCompare("clip-path",keyword) == 0)
          {
            /*
              Create clip mask.
            */
            GetMagickToken(q,&q,token);
            (void) CloneString(&graphic_context[n]->clip_path,token);
            (void) DrawClipPath(image,graphic_context[n],
              graphic_context[n]->clip_path);
            break;
          }
        if (LocaleCompare("clip-rule",keyword) == 0)
          {
            long
              fill_rule;

            GetMagickToken(q,&q,token);
            fill_rule=ParseMagickOption(MagickFillRuleOptions,MagickFalse,
              token);
            if (fill_rule == -1)
              {
                status=MagickFalse;
                break;
              }
            graphic_context[n]->fill_rule=(FillRule) fill_rule;
            break;
          }
        if (LocaleCompare("clip-units",keyword) == 0)
          {
            long
              clip_units;

            GetMagickToken(q,&q,token);
            clip_units=ParseMagickOption(MagickClipPathOptions,MagickFalse,
              token);
            if (clip_units == -1)
              {
                status=MagickFalse;
                break;
              }
            graphic_context[n]->clip_units=(ClipPathUnits) clip_units;
            if (clip_units == ObjectBoundingBox)
              {
                GetAffineMatrix(&current);
                affine.sx=draw_info->bounds.x2;
                affine.sy=draw_info->bounds.y2;
                affine.tx=draw_info->bounds.x1;
                affine.ty=draw_info->bounds.y1;
                break;
              }
            break;
          }
        if (LocaleCompare("circle",keyword) == 0)
          {
            primitive_type=CirclePrimitive;
            break;
          }
        if (LocaleCompare("color",keyword) == 0)
          {
            primitive_type=ColorPrimitive;
            break;
          }
        status=MagickFalse;
        break;
      }
      case 'd':
      case 'D':
      {
        if (LocaleCompare("decorate",keyword) == 0)
          {
            long
              decorate;

            GetMagickToken(q,&q,token);
            decorate=ParseMagickOption(MagickDecorationOptions,MagickFalse,
              token);
            if (decorate == -1)
              {
                status=MagickFalse;
                break;
              }
            graphic_context[n]->decorate=(DecorationType) decorate;
            break;
          }
        status=MagickFalse;
        break;
      }
      case 'e':
      case 'E':
      {
        if (LocaleCompare("ellipse",keyword) == 0)
          {
            primitive_type=EllipsePrimitive;
            break;
          }
        if (LocaleCompare("encoding",keyword) == 0)
          {
            GetMagickToken(q,&q,token);
            (void) CloneString(&graphic_context[n]->encoding,token);
            break;
          }
        status=MagickFalse;
        break;
      }
      case 'f':
      case 'F':
      {
        if (LocaleCompare("fill",keyword) == 0)
          {
            GetMagickToken(q,&q,token);
            (void) FormatMagickString(pattern,MaxTextExtent,"[%s]",token);
            if (GetImageAttribute(image,pattern) != (ImageAttribute *) NULL)
              (void) DrawPatternPath(image,draw_info,token,
                &graphic_context[n]->fill_pattern);
            else
              {
                status=QueryColorDatabase(token,&graphic_context[n]->fill,
                  &image->exception);
                if (status == MagickFalse)
                  {
                    ImageInfo
                      *clone_info;

                    clone_info=CloneImageInfo((ImageInfo *) NULL);
                    (void) CopyMagickString(clone_info->filename,token,
                      MaxTextExtent);
                    graphic_context[n]->fill_pattern=
                      ReadImage(clone_info,&image->exception);
                    CatchException(&image->exception);
                    clone_info=DestroyImageInfo(clone_info);
                  }
              }
            break;
          }
        if (LocaleCompare("fill-opacity",keyword) == 0)
          {
            GetMagickToken(q,&q,token);
            factor=strchr(token,'%') != (char *) NULL ? 0.01 : 1.0;
            if (graphic_context[n]->fill.opacity != TransparentOpacity)
              graphic_context[n]->fill.opacity=(Quantum)
                ((MagickRealType) QuantumRange*(1.0-factor*atof(token)));
            break;
          }
        if (LocaleCompare("fill-rule",keyword) == 0)
          {
            long
              fill_rule;

            GetMagickToken(q,&q,token);
            fill_rule=ParseMagickOption(MagickFillRuleOptions,MagickFalse,
              token);
            if (fill_rule == -1)
              {
                status=MagickFalse;
                break;
              }
            graphic_context[n]->fill_rule=(FillRule) fill_rule;
            break;
          }
        if (LocaleCompare("font",keyword) == 0)
          {
            GetMagickToken(q,&q,token);
            (void) CloneString(&graphic_context[n]->font,token);
            if (LocaleCompare("none",token) == 0)
              graphic_context[n]->font=(char *)
                RelinquishMagickMemory(graphic_context[n]->font);
            break;
          }
        if (LocaleCompare("font-family",keyword) == 0)
          {
            GetMagickToken(q,&q,token);
            (void) CloneString(&graphic_context[n]->family,token);
            break;
          }
        if (LocaleCompare("font-size",keyword) == 0)
          {
            GetMagickToken(q,&q,token);
            graphic_context[n]->pointsize=atof(token);
            break;
          }
        if (LocaleCompare("font-stretch",keyword) == 0)
          {
            long
              stretch;

            GetMagickToken(q,&q,token);
            stretch=ParseMagickOption(MagickStretchOptions,MagickFalse,token);
            if (stretch == -1)
              {
                status=MagickFalse;
                break;
              }
            graphic_context[n]->stretch=(StretchType) stretch;
            break;
          }
        if (LocaleCompare("font-style",keyword) == 0)
          {
            long
              style;

            GetMagickToken(q,&q,token);
            style=ParseMagickOption(MagickStyleOptions,MagickFalse,token);
            if (style == -1)
              {
                status=MagickFalse;
                break;
              }
            graphic_context[n]->style=(StyleType) style;
            break;
          }
        if (LocaleCompare("font-weight",keyword) == 0)
          {
            GetMagickToken(q,&q,token);
            graphic_context[n]->weight=(unsigned long) atol(token);
            if (LocaleCompare(token,"all") == 0)
              graphic_context[n]->weight=0;
            if (LocaleCompare(token,"bold") == 0)
              graphic_context[n]->weight=700;
            if (LocaleCompare(token,"bolder") == 0)
              if (graphic_context[n]->weight <= 800)
                graphic_context[n]->weight+=100;
            if (LocaleCompare(token,"lighter") == 0)
              if (graphic_context[n]->weight >= 100)
                graphic_context[n]->weight-=100;
            if (LocaleCompare(token,"normal") == 0)
              graphic_context[n]->weight=400;
            break;
          }
        status=MagickFalse;
        break;
      }
      case 'g':
      case 'G':
      {
        if (LocaleCompare("gradient-units",keyword) == 0)
          {
            GetMagickToken(q,&q,token);
            break;
          }
        if (LocaleCompare("gravity",keyword) == 0)
          {
            long
              gravity;

            GetMagickToken(q,&q,token);
            gravity=ParseMagickOption(MagickGravityOptions,MagickFalse,token);
            if (gravity == -1)
              {
                status=MagickFalse;
                break;
              }
            graphic_context[n]->gravity=(GravityType) gravity;
            break;
          }
        status=MagickFalse;
        break;
      }
      case 'i':
      case 'I':
      {
        if (LocaleCompare("image",keyword) == 0)
          {
            long
              compose;

            primitive_type=ImagePrimitive;
            GetMagickToken(q,&q,token);
            compose=ParseMagickOption(MagickCompositeOptions,MagickFalse,token);
            if (compose == -1)
              {
                status=MagickFalse;
                break;
              }
            graphic_context[n]->compose=(CompositeOperator) compose;
            break;
          }
        status=MagickFalse;
        break;
      }
      case 'l':
      case 'L':
      {
        if (LocaleCompare("line",keyword) == 0)
          {
            primitive_type=LinePrimitive;
            break;
          }
        status=MagickFalse;
        break;
      }
      case 'm':
      case 'M':
      {
        if (LocaleCompare("matte",keyword) == 0)
          {
            primitive_type=MattePrimitive;
            break;
          }
        status=MagickFalse;
        break;
      }
      case 'o':
      case 'O':
      {
        if (LocaleCompare("offset",keyword) == 0)
          {
            GetMagickToken(q,&q,token);
            break;
          }
        if (LocaleCompare("opacity",keyword) == 0)
          {
            GetMagickToken(q,&q,token);
            factor=strchr(token,'%') != (char *) NULL ? 0.01 : 1.0;
            graphic_context[n]->opacity=(Quantum) ((MagickRealType)
              QuantumRange*(1.0-((1.0-graphic_context[n]->opacity/
              QuantumRange)*factor*atof(token)))+0.5);
            graphic_context[n]->fill.opacity=graphic_context[n]->opacity;
            graphic_context[n]->stroke.opacity=graphic_context[n]->opacity;
            break;
          }
        status=MagickFalse;
        break;
      }
      case 'p':
      case 'P':
      {
        if (LocaleCompare("path",keyword) == 0)
          {
            primitive_type=PathPrimitive;
            break;
          }
        if (LocaleCompare("point",keyword) == 0)
          {
            primitive_type=PointPrimitive;
            break;
          }
        if (LocaleCompare("polyline",keyword) == 0)
          {
            primitive_type=PolylinePrimitive;
            break;
          }
        if (LocaleCompare("polygon",keyword) == 0)
          {
            primitive_type=PolygonPrimitive;
            break;
          }
        if (LocaleCompare("pop",keyword) == 0)
          {
            GetMagickToken(q,&q,token);
            if (LocaleCompare("clip-path",token) == 0)
              break;
            if (LocaleCompare("defs",token) == 0)
              break;
            if (LocaleCompare("gradient",token) == 0)
              break;
            if (LocaleCompare("graphic-context",token) == 0)
              {
                if (n < 0)
                  {
                    (void) ThrowMagickException(&image->exception,
                      GetMagickModule(),DrawError,
                      "UnbalancedGraphicContextPushPop","`%s'",token);
                    break;
                  }
                if (graphic_context[n]->clip_path != (char *) NULL)
                  if (LocaleCompare(graphic_context[n]->clip_path,
                      graphic_context[n-1]->clip_path) != 0)
                    (void) SetImageClipMask(image,(Image *) NULL);
                graphic_context[n]=DestroyDrawInfo(graphic_context[n]);
                n--;
                break;
              }
            if (LocaleCompare("pattern",token) == 0)
              break;
            status=MagickFalse;
            break;
          }
        if (LocaleCompare("push",keyword) == 0)
          {
            GetMagickToken(q,&q,token);
            if (LocaleCompare("clip-path",token) == 0)
              {
                char
                  name[MaxTextExtent];

                GetMagickToken(q,&q,token);
                (void) FormatMagickString(name,MaxTextExtent,"[%s]",token);
                for (p=q; *q != '\0'; )
                {
                  GetMagickToken(q,&q,token);
                  if (LocaleCompare(token,"pop") != 0)
                    continue;
                  GetMagickToken(q,(char **) NULL,token);
                  if (LocaleCompare(token,"clip-path") != 0)
                    continue;
                  break;
                }
                (void) CopyMagickString(token,p,(size_t) (q-p-4+1));
                (void) SetImageAttribute(image,name,token);
                GetMagickToken(q,&q,token);
                break;
              }
            if (LocaleCompare("gradient",token) == 0)
              {
                char
                  key[2*MaxTextExtent],
                  name[MaxTextExtent],
                  type[MaxTextExtent];

                ElementInfo
                  element;

                SegmentInfo
                  segment;

                GetMagickToken(q,&q,token);
                (void) CopyMagickString(name,token,MaxTextExtent);
                GetMagickToken(q,&q,token);
                (void) CopyMagickString(type,token,MaxTextExtent);
                GetMagickToken(q,&q,token);
                segment.x1=atof(token);
                element.cx=atof(token);
                GetMagickToken(q,&q,token);
                if (*token == ',')
                  GetMagickToken(q,&q,token);
                segment.y1=atof(token);
                element.cy=atof(token);
                GetMagickToken(q,&q,token);
                if (*token == ',')
                  GetMagickToken(q,&q,token);
                segment.x2=atof(token);
                element.major=atof(token);
                GetMagickToken(q,&q,token);
                if (*token == ',')
                  GetMagickToken(q,&q,token);
                segment.y2=atof(token);
                element.minor=atof(token);
                if (LocaleCompare(type,"radial") == 0)
                  {
                    GetMagickToken(q,&q,token);
                    if (*token == ',')
                      GetMagickToken(q,&q,token);
                    element.angle=atof(token);
                  }
                for (p=q; *q != '\0'; )
                {
                  GetMagickToken(q,&q,token);
                  if (LocaleCompare(token,"pop") != 0)
                    continue;
                  GetMagickToken(q,(char **) NULL,token);
                  if (LocaleCompare(token,"gradient") != 0)
                    continue;
                  break;
                }
                (void) CopyMagickString(token,p,(size_t) (q-p-4+1));
                bounds.x1=graphic_context[n]->affine.sx*segment.x1+
                  graphic_context[n]->affine.ry*segment.y1+
                  graphic_context[n]->affine.tx;
                bounds.y1=graphic_context[n]->affine.rx*segment.x1+
                  graphic_context[n]->affine.sy*segment.y1+
                  graphic_context[n]->affine.ty;
                bounds.x2=graphic_context[n]->affine.sx*segment.x2+
                  graphic_context[n]->affine.ry*segment.y2+
                  graphic_context[n]->affine.tx;
                bounds.y2=graphic_context[n]->affine.rx*segment.x2+
                  graphic_context[n]->affine.sy*segment.y2+
                  graphic_context[n]->affine.ty;
                (void) FormatMagickString(key,MaxTextExtent,"[%s]",name);
                (void) SetImageAttribute(image,key,token);
                (void) FormatMagickString(key,MaxTextExtent,"[%s-geometry]",
                  name);
                (void) FormatMagickString(geometry,MaxTextExtent,"%gx%g%+f%+f",
                  Max(AbsoluteValue(bounds.x2-bounds.x1+1),1),
                  Max(AbsoluteValue(bounds.y2-bounds.y1+1),1),
                  bounds.x1,bounds.y1);
                (void) SetImageAttribute(image,key,geometry);
                GetMagickToken(q,&q,token);
                break;
              }
            if (LocaleCompare("pattern",token) == 0)
              {
                RectangleInfo
                  bounds;

                GetMagickToken(q,&q,token);
                (void) CopyMagickString(name,token,MaxTextExtent);
                GetMagickToken(q,&q,token);
                bounds.x=(long) (atof(token)+0.5);
                GetMagickToken(q,&q,token);
                if (*token == ',')
                  GetMagickToken(q,&q,token);
                bounds.y=(long) (atof(token)+0.5);
                GetMagickToken(q,&q,token);
                if (*token == ',')
                  GetMagickToken(q,&q,token);
                bounds.width=(unsigned long) (atof(token)+0.5);
                GetMagickToken(q,&q,token);
                if (*token == ',')
                  GetMagickToken(q,&q,token);
                bounds.height=(unsigned long) (atof(token)+0.5);
                for (p=q; *q != '\0'; )
                {
                  GetMagickToken(q,&q,token);
                  if (LocaleCompare(token,"pop") != 0)
                    continue;
                  GetMagickToken(q,(char **) NULL,token);
                  if (LocaleCompare(token,"pattern") != 0)
                    continue;
                  break;
                }
                (void) CopyMagickString(token,p,(size_t) (q-p-4+1));
                (void) FormatMagickString(key,MaxTextExtent,"[%s]",name);
                (void) SetImageAttribute(image,key,token);
                (void) FormatMagickString(key,MaxTextExtent,"[%s-geometry]",
                  name);
                (void) FormatMagickString(geometry,MaxTextExtent,
                  "%lux%lu%+ld%+ld",bounds.width,bounds.height,bounds.x,
                  bounds.y);
                (void) SetImageAttribute(image,key,geometry);
                GetMagickToken(q,&q,token);
                break;
              }
            if (LocaleCompare("graphic-context",token) == 0)
              {
                n++;
                graphic_context=(DrawInfo **) ResizeMagickMemory(
                  graphic_context,(size_t) (n+1)*sizeof(*graphic_context));
                if (graphic_context == (DrawInfo **) NULL)
                  {
                    (void) ThrowMagickException(&image->exception,
                      GetMagickModule(),ResourceLimitError,
                      "MemoryAllocationFailed","`%s'",image->filename);
                    break;
                  }
                graphic_context[n]=
                  CloneDrawInfo((ImageInfo *) NULL,graphic_context[n-1]);
                break;
              }
            if (LocaleCompare("defs",token) == 0)
              break;
            status=MagickFalse;
            break;
          }
        status=MagickFalse;
        break;
      }
      case 'r':
      case 'R':
      {
        if (LocaleCompare("rectangle",keyword) == 0)
          {
            primitive_type=RectanglePrimitive;
            break;
          }
        if (LocaleCompare("rotate",keyword) == 0)
          {
            GetMagickToken(q,&q,token);
            angle=atof(token);
            affine.sx=cos(DegreesToRadians(fmod((double) angle,360.0)));
            affine.rx=sin(DegreesToRadians(fmod((double) angle,360.0)));
            affine.ry=(-sin(DegreesToRadians(fmod((double) angle,360.0))));
            affine.sy=cos(DegreesToRadians(fmod((double) angle,360.0)));
            break;
          }
        if (LocaleCompare("roundRectangle",keyword) == 0)
          {
            primitive_type=RoundRectanglePrimitive;
            break;
          }
        status=MagickFalse;
        break;
      }
      case 's':
      case 'S':
      {
        if (LocaleCompare("scale",keyword) == 0)
          {
            GetMagickToken(q,&q,token);
            affine.sx=atof(token);
            GetMagickToken(q,&q,token);
            if (*token == ',')
              GetMagickToken(q,&q,token);
            affine.sy=atof(token);
            break;
          }
        if (LocaleCompare("skewX",keyword) == 0)
          {
            GetMagickToken(q,&q,token);
            angle=atof(token);
            affine.ry=tan(DegreesToRadians(fmod((double) angle,360.0)));
            break;
          }
        if (LocaleCompare("skewY",keyword) == 0)
          {
            GetMagickToken(q,&q,token);
            angle=atof(token);
            affine.rx=tan(DegreesToRadians(fmod((double) angle,360.0)));
            break;
          }
        if (LocaleCompare("stop-color",keyword) == 0)
          {
            PixelPacket
              stop_color;

            GetMagickToken(q,&q,token);
            (void) QueryColorDatabase(token,&stop_color,&image->exception);
            (void) GradientImage(image,&start_color,&stop_color);
            start_color=stop_color;
            GetMagickToken(q,&q,token);
            break;
          }
        if (LocaleCompare("stroke",keyword) == 0)
          {
            GetMagickToken(q,&q,token);
            (void) FormatMagickString(pattern,MaxTextExtent,"[%s]",token);
            if (GetImageAttribute(image,pattern) != (ImageAttribute *) NULL)
              (void) DrawPatternPath(image,draw_info,token,
                &graphic_context[n]->stroke_pattern);
            else
              {
                status=QueryColorDatabase(token,&graphic_context[n]->stroke,
                  &image->exception);
                if (status == MagickFalse)
                  {
                    ImageInfo
                      *clone_info;

                    clone_info=CloneImageInfo((ImageInfo *) NULL);
                    (void) CopyMagickString(clone_info->filename,token,
                      MaxTextExtent);
                    graphic_context[n]->stroke_pattern=
                      ReadImage(clone_info,&image->exception);
                    CatchException(&image->exception);
                    clone_info=DestroyImageInfo(clone_info);
                  }
              }
            break;
          }
        if (LocaleCompare("stroke-antialias",keyword) == 0)
          {
            GetMagickToken(q,&q,token);
            graphic_context[n]->stroke_antialias=
              atoi(token) != 0 ? MagickTrue : MagickFalse;
            break;
          }
        if (LocaleCompare("stroke-dasharray",keyword) == 0)
          {
            if (graphic_context[n]->dash_pattern != (double *) NULL)
              graphic_context[n]->dash_pattern=(double *)
                RelinquishMagickMemory(graphic_context[n]->dash_pattern);
            if (IsPoint(q) != MagickFalse)
              {
                char
                  *p;

                p=q;
                GetMagickToken(p,&p,token);
                if (*token == ',')
                  GetMagickToken(p,&p,token);
                for (x=0; IsPoint(token) != MagickFalse; x++)
                {
                  GetMagickToken(p,&p,token);
                  if (*token == ',')
                    GetMagickToken(p,&p,token);
                }
                graphic_context[n]->dash_pattern=(double *) AcquireMagickMemory(
                  (size_t) (2*x+1)*sizeof(*graphic_context[n]->dash_pattern));
                if (graphic_context[n]->dash_pattern == (double *) NULL)
                  {
                    (void) ThrowMagickException(&image->exception,
                      GetMagickModule(),ResourceLimitError,
                      "MemoryAllocationFailed","`%s'",image->filename);
                    break;
                  }
                for (j=0; j < x; j++)
                {
                  GetMagickToken(q,&q,token);
                  if (*token == ',')
                    GetMagickToken(q,&q,token);
                  graphic_context[n]->dash_pattern[j]=atof(token);
                }
                if ((x & 0x01) != 0)
                  for ( ; j < (2*x); j++)
                    graphic_context[n]->dash_pattern[j]=
                      graphic_context[n]->dash_pattern[j-x];
                graphic_context[n]->dash_pattern[j]=0.0;
                break;
              }
            GetMagickToken(q,&q,token);
            break;
          }
        if (LocaleCompare("stroke-dashoffset",keyword) == 0)
          {
            GetMagickToken(q,&q,token);
            graphic_context[n]->dash_offset=atof(token);
            break;
          }
        if (LocaleCompare("stroke-linecap",keyword) == 0)
          {
            long
              linecap;

            GetMagickToken(q,&q,token);
            linecap=ParseMagickOption(MagickLineCapOptions,MagickFalse,token);
            if (linecap == -1)
              {
                status=MagickFalse;
                break;
              }
            graphic_context[n]->linecap=(LineCap) linecap;
            break;
          }
        if (LocaleCompare("stroke-linejoin",keyword) == 0)
          {
            long
              linejoin;

            GetMagickToken(q,&q,token);
            linejoin=ParseMagickOption(MagickLineJoinOptions,MagickFalse,token);
            if (linejoin == -1)
              {
                status=MagickFalse;
                break;
              }
            graphic_context[n]->linejoin=(LineJoin) linejoin;
            break;
          }
        if (LocaleCompare("stroke-miterlimit",keyword) == 0)
          {
            GetMagickToken(q,&q,token);
            graphic_context[n]->miterlimit=(unsigned long) atol(token);
            break;
          }
        if (LocaleCompare("stroke-opacity",keyword) == 0)
          {
            GetMagickToken(q,&q,token);
            factor=strchr(token,'%') != (char *) NULL ? 0.01 : 1.0;
            if (graphic_context[n]->stroke.opacity != TransparentOpacity)
              graphic_context[n]->stroke.opacity=(Quantum)
                ((MagickRealType) QuantumRange*(1.0-factor*atof(token)));
            break;
          }
        if (LocaleCompare("stroke-width",keyword) == 0)
          {
            GetMagickToken(q,&q,token);
            graphic_context[n]->stroke_width=atof(token);
            break;
          }
        status=MagickFalse;
        break;
      }
      case 't':
      case 'T':
      {
        if (LocaleCompare("text",keyword) == 0)
          {
            primitive_type=TextPrimitive;
            break;
          }
        if (LocaleCompare("text-align",keyword) == 0)
          {
            long
              align;

            GetMagickToken(q,&q,token);
            align=ParseMagickOption(MagickAlignOptions,MagickFalse,token);
            if (align == -1)
              {
                status=MagickFalse;
                break;
              }
            graphic_context[n]->align=(AlignType) align;
            break;
          }
        if (LocaleCompare("text-anchor",keyword) == 0)
          {
            long
              align;

            GetMagickToken(q,&q,token);
            align=ParseMagickOption(MagickAlignOptions,MagickFalse,token);
            if (align == -1)
              {
                status=MagickFalse;
                break;
              }
            graphic_context[n]->align=(AlignType) align;
            break;
          }
        if (LocaleCompare("text-antialias",keyword) == 0)
          {
            GetMagickToken(q,&q,token);
            graphic_context[n]->text_antialias=
              atoi(token) != 0 ? MagickTrue : MagickFalse;
            break;
          }
        if (LocaleCompare("text-undercolor",keyword) == 0)
          {
            GetMagickToken(q,&q,token);
            (void) QueryColorDatabase(token,&graphic_context[n]->undercolor,
              &image->exception);
            break;
          }
        if (LocaleCompare("translate",keyword) == 0)
          {
            GetMagickToken(q,&q,token);
            affine.tx=atof(token);
            GetMagickToken(q,&q,token);
            if (*token == ',')
              GetMagickToken(q,&q,token);
            affine.ty=atof(token);
            break;
          }
        status=MagickFalse;
        break;
      }
      case 'v':
      case 'V':
      {
        if (LocaleCompare("viewbox",keyword) == 0)
          {
            GetMagickToken(q,&q,token);
            graphic_context[n]->viewbox.x=(long) (atof(token)+0.5);
            GetMagickToken(q,&q,token);
            if (*token == ',')
              GetMagickToken(q,&q,token);
            graphic_context[n]->viewbox.y=(long) (atof(token)+0.5);
            GetMagickToken(q,&q,token);
            if (*token == ',')
              GetMagickToken(q,&q,token);
            graphic_context[n]->viewbox.width=(unsigned long) (atof(token)+0.5);
            GetMagickToken(q,&q,token);
            if (*token == ',')
              GetMagickToken(q,&q,token);
            graphic_context[n]->viewbox.height=(unsigned long)
              (atof(token)+0.5);
            break;
          }
        status=MagickFalse;
        break;
      }
      default:
      {
        status=MagickFalse;
        break;
      }
    }
    if (status == MagickFalse)
      break;
    if ((affine.sx != 1.0) || (affine.rx != 0.0) || (affine.ry != 0.0) ||
        (affine.sy != 1.0) || (affine.tx != 0.0) || (affine.ty != 0.0))
      {
        graphic_context[n]->affine.sx=current.sx*affine.sx+current.ry*affine.rx;
        graphic_context[n]->affine.rx=current.rx*affine.sx+current.sy*affine.rx;
        graphic_context[n]->affine.ry=current.sx*affine.ry+current.ry*affine.sy;
        graphic_context[n]->affine.sy=current.rx*affine.ry+current.sy*affine.sy;
        graphic_context[n]->affine.tx=
          current.sx*affine.tx+current.ry*affine.ty+current.tx;
        graphic_context[n]->affine.ty=
          current.rx*affine.tx+current.sy*affine.ty+current.ty;
      }
    if (primitive_type == UndefinedPrimitive)
      {
        if (image->debug != MagickFalse)
          (void) LogMagickEvent(DrawEvent,GetMagickModule(),"  %.*s",
            (int) (q-p),p);
        continue;
      }
    /*
      Parse the primitive attributes.
    */
    i=0;
    j=0;
    for (x=0; *q != '\0'; x++)
    {
      /*
        Define points.
      */
      if (IsPoint(q) == MagickFalse)
        break;
      GetMagickToken(q,&q,token);
      point.x=atof(token);
      GetMagickToken(q,&q,token);
      if (*token == ',')
        GetMagickToken(q,&q,token);
      point.y=atof(token);
      GetMagickToken(q,(char **) NULL,token);
      if (*token == ',')
        GetMagickToken(q,&q,token);
      primitive_info[i].primitive=primitive_type;
      primitive_info[i].point=point;
      primitive_info[i].coordinates=0;
      primitive_info[i].method=FloodfillMethod;
      i++;
      if (i < (long) number_points)
        continue;
      number_points<<=1;
      primitive_info=(PrimitiveInfo *) ResizeMagickMemory(primitive_info,
        (size_t) number_points*sizeof(*primitive_info));
      if (primitive_info == (PrimitiveInfo *) NULL)
        {
          (void) ThrowMagickException(&image->exception,GetMagickModule(),
            ResourceLimitError,"MemoryAllocationFailed","`%s'",image->filename);
          break;
        }
    }
    primitive_info[j].primitive=primitive_type;
    primitive_info[j].coordinates=(unsigned long) x;
    primitive_info[j].method=FloodfillMethod;
    primitive_info[j].text=(char *) NULL;
    /*
      Circumscribe primitive within a circle.
    */
    bounds.x1=primitive_info[j].point.x;
    bounds.y1=primitive_info[j].point.y;
    bounds.x2=primitive_info[j].point.x;
    bounds.y2=primitive_info[j].point.y;
    for (k=1; k < (long) primitive_info[j].coordinates; k++)
    {
      point=primitive_info[j+k].point;
      if (point.x < bounds.x1)
        bounds.x1=point.x;
      if (point.y < bounds.y1)
        bounds.y1=point.y;
      if (point.x > bounds.x2)
        bounds.x2=point.x;
      if (point.y > bounds.y2)
        bounds.y2=point.y;
    }
    /*
      Speculate how many points our primitive might consume.
    */
    length=primitive_info[j].coordinates;
    switch (primitive_type)
    {
      case RectanglePrimitive:
      {
        length*=5;
        break;
      }
      case RoundRectanglePrimitive:
      {
        length*=5+4*BezierQuantum;
        break;
      }
      case BezierPrimitive:
      {
        if (primitive_info[j].coordinates > 107)
          (void) ThrowMagickException(&image->exception,GetMagickModule(),
            DrawError,"TooManyBezierCoordinates","`%s'",token);
        length=BezierQuantum*primitive_info[j].coordinates;
        break;
      }
      case PathPrimitive:
      {
        char
          *s,
          *t;

        GetMagickToken(q,&q,token);
        k=1;
        t=token;
        for (s=token; *s != '\0'; s=t)
        {
          (void) strtod(s,&t);
          if (s == t)
            {
              t++;
              continue;
            }
          k++;
        }
        length+=k*BezierQuantum/2;
        break;
      }
      case CirclePrimitive:
      case ArcPrimitive:
      case EllipsePrimitive:
      {
        MagickRealType
          alpha,
          beta,
          radius;

        alpha=bounds.x2-bounds.x1;
        beta=bounds.y2-bounds.y1;
        radius=sqrt((double) (alpha*alpha+beta*beta));
        length=2*((size_t) (MagickPI*radius))+6*BezierQuantum+360+1;
        break;
      }
      default:
        break;
    }
    if ((unsigned long) (i+length) >= number_points)
      {
        /*
          Resize based on speculative points required by primitive.
        */
        while ((unsigned long) (i+length) >= number_points)
          number_points<<=1;
        primitive_info=(PrimitiveInfo *) ResizeMagickMemory(primitive_info,
          (size_t) number_points*sizeof(*primitive_info));
        if (primitive_info == (PrimitiveInfo *) NULL)
          {
            (void) ThrowMagickException(&image->exception,GetMagickModule(),
              ResourceLimitError,"MemoryAllocationFailed","`%s'",
              image->filename);
            break;
          }
      }
    switch (primitive_type)
    {
      case PointPrimitive:
      default:
      {
        if (primitive_info[j].coordinates != 1)
          {
            status=MagickFalse;
            break;
          }
        TracePoint(primitive_info+j,primitive_info[j].point);
        i=(long) (j+primitive_info[j].coordinates);
        break;
      }
      case LinePrimitive:
      {
        if (primitive_info[j].coordinates != 2)
          {
            status=MagickFalse;
            break;
          }
        TraceLine(primitive_info+j,primitive_info[j].point,
          primitive_info[j+1].point);
        i=(long) (j+primitive_info[j].coordinates);
        break;
      }
      case RectanglePrimitive:
      {
        if (primitive_info[j].coordinates != 2)
          {
            status=MagickFalse;
            break;
          }
        TraceRectangle(primitive_info+j,primitive_info[j].point,
          primitive_info[j+1].point);
        i=(long) (j+primitive_info[j].coordinates);
        break;
      }
      case RoundRectanglePrimitive:
      {
        if (primitive_info[j].coordinates != 3)
          {
            status=MagickFalse;
            break;
          }
        TraceRoundRectangle(primitive_info+j,primitive_info[j].point,
          primitive_info[j+1].point,primitive_info[j+2].point);
        i=(long) (j+primitive_info[j].coordinates);
        break;
      }
      case ArcPrimitive:
      {
        if (primitive_info[j].coordinates != 3)
          {
            primitive_type=UndefinedPrimitive;
            break;
          }
        TraceArc(primitive_info+j,primitive_info[j].point,
          primitive_info[j+1].point,primitive_info[j+2].point);
        i=(long) (j+primitive_info[j].coordinates);
        break;
      }
      case EllipsePrimitive:
      {
        if (primitive_info[j].coordinates != 3)
          {
            status=MagickFalse;
            break;
          }
        TraceEllipse(primitive_info+j,primitive_info[j].point,
          primitive_info[j+1].point,primitive_info[j+2].point);
        i=(long) (j+primitive_info[j].coordinates);
        break;
      }
      case CirclePrimitive:
      {
        if (primitive_info[j].coordinates != 2)
          {
            status=MagickFalse;
            break;
          }
        TraceCircle(primitive_info+j,primitive_info[j].point,
          primitive_info[j+1].point);
        i=(long) (j+primitive_info[j].coordinates);
        break;
      }
      case PolylinePrimitive:
      {
        if (primitive_info[j].coordinates < 2)
          {
            status=MagickFalse;
            break;
          }
        break;
      }
      case PolygonPrimitive:
      {
        if (primitive_info[j].coordinates < 3)
          {
            status=MagickFalse;
            break;
          }
        primitive_info[i]=primitive_info[j];
        primitive_info[i].coordinates=0;
        primitive_info[j].coordinates++;
        i++;
        break;
      }
      case BezierPrimitive:
      {
        if (primitive_info[j].coordinates < 3)
          {
            status=MagickFalse;
            break;
          }
        TraceBezier(primitive_info+j,primitive_info[j].coordinates);
        i=(long) (j+primitive_info[j].coordinates);
        break;
      }
      case PathPrimitive:
      {
        i=(long) (j+TracePath(primitive_info+j,token));
        break;
      }
      case ColorPrimitive:
      case MattePrimitive:
      {
        long
          method;

        if (primitive_info[j].coordinates != 1)
          {
            status=MagickFalse;
            break;
          }
        GetMagickToken(q,&q,token);
        method=ParseMagickOption(MagickMethodOptions,MagickFalse,token);
        if (method == -1)
          {
            status=MagickFalse;
            break;
          }
        primitive_info[j].method=(PaintMethod) method;
        break;
      }
      case TextPrimitive:
      {
        if (primitive_info[j].coordinates != 1)
          {
            status=MagickFalse;
            break;
          }
        if (*token != ',')
          GetMagickToken(q,&q,token);
        primitive_info[j].text=AcquireString(token);
        break;
      }
      case ImagePrimitive:
      {
        if (primitive_info[j].coordinates != 2)
          {
            status=MagickFalse;
            break;
          }
        GetMagickToken(q,&q,token);
        primitive_info[j].text=AcquireString(token);
        break;
      }
    }
    if (primitive_info == (PrimitiveInfo *) NULL)
      break;
    if (image->debug != MagickFalse)
      (void) LogMagickEvent(DrawEvent,GetMagickModule(),"  %.*s",(int) (q-p),p);
    if (status == MagickFalse)
      break;
    primitive_info[i].primitive=UndefinedPrimitive;
    if (i == 0)
      continue;
    /*
      Transform points.
    */
    for (i=0; primitive_info[i].primitive != UndefinedPrimitive; i++)
    {
      point=primitive_info[i].point;
      primitive_info[i].point.x=graphic_context[n]->affine.sx*point.x+
        graphic_context[n]->affine.ry*point.y+graphic_context[n]->affine.tx;
      primitive_info[i].point.y=graphic_context[n]->affine.rx*point.x+
        graphic_context[n]->affine.sy*point.y+graphic_context[n]->affine.ty;
      point=primitive_info[i].point;
      if (point.x < graphic_context[n]->bounds.x1)
        graphic_context[n]->bounds.x1=point.x;
      if (point.y < graphic_context[n]->bounds.y1)
        graphic_context[n]->bounds.y1=point.y;
      if (point.x > graphic_context[n]->bounds.x2)
        graphic_context[n]->bounds.x2=point.x;
      if (point.y > graphic_context[n]->bounds.y2)
        graphic_context[n]->bounds.y2=point.y;
      if (primitive_info[i].primitive == ImagePrimitive)
        break;
    }
    if (i >= (long) number_points)
      {
        char
          *message;

        message=GetExceptionMessage(errno);
        ThrowMagickFatalException(ResourceLimitFatalError,
          "MemoryAllocationFailed",message);
        message=(char *) RelinquishMagickMemory(message);
      }
    if (graphic_context[n]->render != MagickFalse)
      {
        if ((n != 0) && (graphic_context[n]->clip_path != (char *) NULL) &&
            (LocaleCompare(graphic_context[n]->clip_path,
             graphic_context[n-1]->clip_path) != 0))
          (void) DrawClipPath(image,graphic_context[n],
            graphic_context[n]->clip_path);
        (void) DrawPrimitive(image,graphic_context[n],primitive_info);
      }
    if (primitive_info->text != (char *) NULL)
      primitive_info->text=(char *)
        RelinquishMagickMemory(primitive_info->text);
    if (image->progress_monitor != (MagickProgressMonitor) NULL)
      {
        status=image->progress_monitor(RenderImageTag,q-primitive,
          (MagickSizeType) primitive_extent,image->client_data);
        if (status == MagickFalse)
          break;
      }
  }
  if (image->debug != MagickFalse)
    (void) LogMagickEvent(DrawEvent,GetMagickModule(),"end draw-image");
  /*
    Free resources.
  */
  token=(char *) RelinquishMagickMemory(token);
  if (primitive_info != (PrimitiveInfo *) NULL)
    primitive_info=(PrimitiveInfo *) RelinquishMagickMemory(primitive_info);
  primitive=(char *) RelinquishMagickMemory(primitive);
  for ( ; n >= 0; n--)
    graphic_context[n]=DestroyDrawInfo(graphic_context[n]);
  graphic_context=(DrawInfo **) RelinquishMagickMemory(graphic_context);
  if (status == MagickFalse)
    ThrowBinaryException(DrawError,"NonconformingDrawingPrimitiveDefinition",
      keyword);
  return(status);
}

/*
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                                                                             %
%                                                                             %
%                                                                             %
%   D r a w P a t t e r n P a t h                                             %
%                                                                             %
%                                                                             %
%                                                                             %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%  DrawPatternPath() draws a pattern.
%
%  The format of the DrawPatternPath method is:
%
%      MagickBooleanType DrawPatternPath(Image *image,const DrawInfo *draw_info,
%        const char *name,Image **pattern)
%
%  A description of each parameter follows:
%
%    o image: The image.
%
%    o draw_info: The draw info.
%
%    o name: The pattern name.
%
%    o image: The image.
%
%
*/
MagickExport MagickBooleanType DrawPatternPath(Image *image,
  const DrawInfo *draw_info,const char *name,Image **pattern)
{
  char
    attribute[MaxTextExtent];

  const ImageAttribute
    *geometry,
    *path;

  DrawInfo
    *clone_info;

  ImageInfo
    *image_info;

  MagickBooleanType
    status;

  assert(image != (Image *) NULL);
  assert(image->signature == MagickSignature);
  if (image->debug != MagickFalse)
    (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
  assert(draw_info != (const DrawInfo *) NULL);
  assert(name != (const char *) NULL);
  (void) FormatMagickString(attribute,MaxTextExtent,"[%s]",name);
  path=GetImageAttribute(image,attribute);
  if (path == (ImageAttribute *) NULL)
    return(MagickFalse);
  (void) FormatMagickString(attribute,MaxTextExtent,"[%s-geometry]",name);
  geometry=GetImageAttribute(image,attribute);
  if (geometry == (ImageAttribute *) NULL)
    return(MagickFalse);
  if ((*pattern) != (Image *) NULL)
    *pattern=DestroyImage(*pattern);
  image_info=CloneImageInfo((ImageInfo *) NULL);
  image_info->size=AcquireString(geometry->value);
  *pattern=AllocateImage(image_info);
  image_info=DestroyImageInfo(image_info);
  (void) QueryColorDatabase("none",&(*pattern)->background_color,
    &image->exception);
  SetImageBackgroundColor(*pattern);
  if (image->debug != MagickFalse)
    (void) LogMagickEvent(DrawEvent,GetMagickModule(),
      "begin pattern-path %s %s",name,geometry->value);
  clone_info=CloneDrawInfo((ImageInfo *) NULL,draw_info);
  clone_info->fill_pattern=NewImageList();
  clone_info->stroke_pattern=NewImageList();
  (void) CloneString(&clone_info->primitive,path->value);
  status=DrawImage(*pattern,clone_info);
  clone_info=DestroyDrawInfo(clone_info);
  if (image->debug != MagickFalse)
    (void) LogMagickEvent(DrawEvent,GetMagickModule(),"end pattern-path");
  return(status);
}

/*
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                                                                             %
%                                                                             %
%                                                                             %
+   D r a w P o l y g o n P r i m i t i v e                                   %
%                                                                             %
%                                                                             %
%                                                                             %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%  DrawPolygonPrimitive() draws a polygon on the image.
%
%  The format of the DrawPolygonPrimitive method is:
%
%      MagickBooleanType DrawPolygonPrimitive(Image *image,
%        const DrawInfo *draw_info,const PrimitiveInfo *primitive_info)
%
%  A description of each parameter follows:
%
%    o image: The image.
%
%    o draw_info: The draw info.
%
%    o primitive_info: Specifies a pointer to a PrimitiveInfo structure.
%
%
*/

static MagickRealType GetPixelOpacity(PolygonInfo *polygon_info,
  const MagickRealType mid,const MagickBooleanType fill,
  const FillRule fill_rule,const long x,const long y,
  MagickRealType *stroke_opacity)
{
  long
    j,
    winding_number;

  MagickRealType
    alpha,
    beta,
    distance,
    subpath_opacity;

  register EdgeInfo
    *p;

  register MagickRealType
    dx,
    dy;

  register const PointInfo
    *q;

  register long
    i;

  /*
    Compute fill & stroke opacity for this (x,y) point.
  */
  *stroke_opacity=0.0;
  subpath_opacity=0.0;
  p=polygon_info->edges;
  for (j=0; j < (long) polygon_info->number_edges; j++)
  {
    if ((MagickRealType) y <= (p->bounds.y1-mid-0.5))
      break;
    if ((MagickRealType) y > (p->bounds.y2+mid+0.5-MagickEpsilon))
      {
        (void) DestroyEdge(polygon_info,(unsigned long) j);
        p++;
        continue;
      }
    if ((MagickRealType) x <= (p->bounds.x1-mid-0.5))
      {
        p++;
        continue;
      }
    if ((MagickRealType) x > (p->bounds.x2+mid+0.5-MagickEpsilon))
      {
        p++;
        continue;
      }
    for (i=(long) Max(p->highwater,1); i < (long) p->number_points; i++)
    {
      if ((MagickRealType) y <= (p->points[i-1].y-mid-0.5))
        break;
      if ((MagickRealType) y > (p->points[i].y+mid+0.5-MagickEpsilon))
        continue;
      if (p->scanline != (MagickRealType) y)
        {
          p->scanline=(MagickRealType) y;
          p->highwater=(unsigned long) i;
        }
      /*
        Compute distance between a point and an edge.
      */
      q=p->points+i-1;
      dx=(q+1)->x-q->x,
      dy=(q+1)->y-q->y;
      beta=dx*((MagickRealType) x-q->x)+dy*((MagickRealType) y-q->y);
      if (beta < 0.0)
        {
          dx=(MagickRealType) x-q->x;
          dy=(MagickRealType) y-q->y;
          distance=dx*dx+dy*dy;
        }
      else
        {
          alpha=dx*dx+dy*dy;
          if (beta > alpha)
            {
              dx=(MagickRealType) x-(q+1)->x;
              dy=(MagickRealType) y-(q+1)->y;
              distance=dx*dx+dy*dy;
            }
          else
            {
              alpha=1.0/alpha;
              beta=dx*((MagickRealType) y-q->y)-dy*((MagickRealType) x-q->x);
              distance=alpha*beta*beta;
            }
        }
      /*
        Compute stroke & subpath opacity.
      */
      beta=0.0;
      if (p->ghostline == MagickFalse)
        {
          alpha=mid+0.5;
          if ((*stroke_opacity < 1.0) &&
              (distance <= ((alpha+0.25)*(alpha+0.25))))
            {
              alpha=mid-0.5;
              if (distance <= ((alpha+0.25)*(alpha+0.25)))
                *stroke_opacity=1.0;
              else
                {
                  beta=1.0;
                  if (distance != 1.0)
                    beta=sqrt((double) distance);
                  alpha=beta-mid-0.5;
                  if (*stroke_opacity < ((alpha-0.25)*(alpha-0.25)))
                    *stroke_opacity=(alpha-0.25)*(alpha-0.25);
                }
            }
        }
      if ((fill == MagickFalse) || (distance > 1.0) || (subpath_opacity >= 1.0))
        continue;
      if (distance <= 0.0)
        {
          subpath_opacity=1.0;
          continue;
        }
      if (distance > 1.0)
        continue;
      if (beta == 0.0)
        {
          beta=1.0;
          if (distance != 1.0)
            beta=sqrt((double) distance);
        }
      alpha=beta-1.0;
      if (subpath_opacity < (alpha*alpha-MagickEpsilon))
        subpath_opacity=alpha*alpha;
    }
    p++;
  }
  /*
    Compute fill opacity.
  */
  if (fill == MagickFalse)
    return(0.0);
  if (subpath_opacity >= 1.0)
    return(1.0);
  /*
    Determine winding number.
  */
  winding_number=0;
  p=polygon_info->edges;
  for (j=0; j < (long) polygon_info->number_edges; j++)
  {
    if ((MagickRealType) y <= p->bounds.y1)
      break;
    if ((MagickRealType) y > p->bounds.y2)
      {
        p++;
        continue;
      }
    if ((MagickRealType) x <= p->bounds.x1)
      {
        p++;
        continue;
      }
    if ((MagickRealType) x > p->bounds.x2)
      {
        winding_number+=p->direction != 0 ? 1 : -1;
        p++;
        continue;
      }
    for (i=(long) Max(p->highwater,1); i < (long) p->number_points; i++)
      if ((MagickRealType) y <= p->points[i].y)
        break;
    q=p->points+i-1;
    dx=(q+1)->x-q->x;
    dy=(q+1)->y-q->y;
    if ((dx*(y-q->y)) <= (dy*(x-q->x)))
      winding_number+=p->direction != 0 ? 1 : -1;
    p++;
  }
  if (fill_rule != NonZeroRule)
    {
      if ((AbsoluteValue(winding_number) & 0x01) != 0)
        return(1.0);
    }
  else
    if (AbsoluteValue(winding_number) > 0)
      return(1.0);
  return(subpath_opacity);
}

static MagickBooleanType DrawPolygonPrimitive(Image *image,
  const DrawInfo *draw_info,const PrimitiveInfo *primitive_info)
{
  long
    start,
    stop,
    y;

  MagickBooleanType
    fill;

  MagickRealType
    fill_opacity,
    mid,
    stroke_opacity;

  PathInfo
    *path_info;

  PixelPacket
    fill_color,
    stroke_color;

  PolygonInfo
    *polygon_info;

  register long
    x;

  register EdgeInfo
    *p;

  register PixelPacket
    *q;

  register long
    i;

  SegmentInfo
    bounds;

  ViewInfo
    *image_view;

  /*
    Compute bounding box.
  */
  assert(image != (Image *) NULL);
  assert(image->signature == MagickSignature);
  if (image->debug != MagickFalse)
    (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
  assert(draw_info != (DrawInfo *) NULL);
  assert(draw_info->signature == MagickSignature);
  assert(primitive_info != (PrimitiveInfo *) NULL);
  if (primitive_info->coordinates == 0)
    return(MagickTrue);
  path_info=ConvertPrimitiveToPath(draw_info,primitive_info);
  if (path_info == (PathInfo *) NULL)
    return(MagickFalse);
  polygon_info=ConvertPathToPolygon(draw_info,path_info);
  path_info=(PathInfo *) RelinquishMagickMemory(path_info);
  if (polygon_info == (PolygonInfo *) NULL)
    return(MagickFalse);
  if (0)
    DrawBoundingRectangles(image,draw_info,polygon_info);
  if (image->debug != MagickFalse)
    (void) LogMagickEvent(DrawEvent,GetMagickModule(),"    begin draw-polygon");
  fill=(primitive_info->method == FillToBorderMethod) ||
    (primitive_info->method == FloodfillMethod) ? MagickTrue : MagickFalse;
  mid=ExpandAffine(&draw_info->affine)*draw_info->stroke_width/2.0;
  bounds=polygon_info->edges[0].bounds;
  for (i=1; i < (long) polygon_info->number_edges; i++)
  {
    p=polygon_info->edges+i;
    if (p->bounds.x1 < bounds.x1)
      bounds.x1=p->bounds.x1;
    if (p->bounds.y1 < bounds.y1)
      bounds.y1=p->bounds.y1;
    if (p->bounds.x2 > bounds.x2)
      bounds.x2=p->bounds.x2;
    if (p->bounds.y2 > bounds.y2)
      bounds.y2=p->bounds.y2;
  }
  bounds.x1-=(mid+1.0);
  bounds.x1=bounds.x1 < 0.0 ? 0.0 : (unsigned long) (bounds.x1+0.5) >=
    image->columns ? (double) image->columns-1.0 : bounds.x1;
  bounds.y1-=(mid+1.0);
  bounds.y1=bounds.y1 < 0.0 ? 0.0 : (unsigned long) (bounds.y1+0.5) >=
    image->rows ? (double) image->rows-1.0 : bounds.y1;
  bounds.x2+=(mid+1.0);
  bounds.x2=bounds.x2 < 0.0 ? 0.0 : (unsigned long) (bounds.x2+0.5) >=
    image->columns ? (double) image->columns-1.0 : bounds.x2;
  bounds.y2+=(mid+1.0);
  bounds.y2=bounds.y2 < 0.0 ? 0.0 : (unsigned long) (bounds.y2+0.5) >=
    image->rows ? (double) image->rows-1.0 : bounds.y2;
  if (primitive_info->coordinates == 1)
    {
      /*
        Draw point.
      */
      start=(long) (bounds.x1+0.5);
      stop=(long) (bounds.x2+0.5);
      image_view=OpenCacheView(image);
      for (y=(long) (bounds.y1+0.5); y <= (long) (bounds.y2+0.5); y++)
      {
        x=start;
        q=GetCacheView(image_view,x,y,(unsigned long) (stop-x+1),1);
        if (q == (PixelPacket *) NULL)
          break;
        for ( ; x <= stop; x++)
        {
          if ((x == (long) (primitive_info->point.x+0.5)) &&
              (y == (long) (primitive_info->point.y+0.5)))
            *q=GetStrokeColor(draw_info,x,y);
          q++;
        }
        if (SyncCacheView(image_view) == MagickFalse)
          break;
      }
      image_view=CloseCacheView(image_view);
      if (image->debug != MagickFalse)
        (void) LogMagickEvent(DrawEvent,GetMagickModule(),
          "    end draw-polygon");
      return(MagickTrue);
    }
  /*
    Draw polygon or line.
  */
  if (image->matte == MagickFalse)
    SetImageOpacity(image,OpaqueOpacity);
  start=(long) (bounds.x1+0.5);
  stop=(long) (bounds.x2+0.5);
  image_view=OpenCacheView(image);
  for (y=(long) (bounds.y1+0.5); y <= (long) (bounds.y2+0.5); y++)
  {
    x=start;
    q=GetCacheView(image_view,x,y,(unsigned long) (stop-x+1),1);
    if (q == (PixelPacket *) NULL)
      break;
    for ( ; x <= stop; x++)
    {
      /*
        Fill and/or stroke.
      */
      fill_opacity=GetPixelOpacity(polygon_info,mid,fill,draw_info->fill_rule,
        x,y,&stroke_opacity);
      if (draw_info->stroke_antialias == MagickFalse)
        {
          fill_opacity=fill_opacity > 0.25 ? 1.0 : 0.0;
          stroke_opacity=stroke_opacity > 0.25 ? 1.0 : 0.0;
        }
      fill_color=GetFillColor(draw_info,x,y);
      fill_opacity=QuantumRange-fill_opacity*(QuantumRange-fill_color.opacity);
      MagickCompositeOver(&fill_color,fill_opacity,q,(MagickRealType)
        q->opacity,q);
      stroke_color=GetStrokeColor(draw_info,x,y);
      stroke_opacity=QuantumRange-stroke_opacity*(QuantumRange-
        stroke_color.opacity);
      MagickCompositeOver(&stroke_color,stroke_opacity,q,(MagickRealType)
        q->opacity,q);
      q++;
    }
    if (SyncCacheView(image_view) == MagickFalse)
      break;
  }
  image_view=CloseCacheView(image_view);
  if (image->debug != MagickFalse)
    (void) LogMagickEvent(DrawEvent,GetMagickModule(),"    end draw-polygon");
  DestroyPolygonInfo(polygon_info);
  return(MagickTrue);
}

/*
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                                                                             %
%                                                                             %
%                                                                             %
+   D r a w P r i m i t i v e                                                 %
%                                                                             %
%                                                                             %
%                                                                             %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%  DrawPrimitive() draws a primitive (line, rectangle, ellipse) on the image.
%
%  The format of the DrawPrimitive method is:
%
%      void DrawPrimitive(Image *image,const DrawInfo *draw_info,
%        PrimitiveInfo *primitive_info)
%
%  A description of each parameter follows:
%
%    o image: The image.
%
%    o draw_info: The draw info.
%
%    o primitive_info: Specifies a pointer to a PrimitiveInfo structure.
%
%
*/

static void LogPrimitiveInfo(const PrimitiveInfo *primitive_info)
{
  const char
    *methods[] =
    {
      "point",
      "replace",
      "floodfill",
      "filltoborder",
      "reset",
      "?"
    };

  long
    coordinates,
    y;

  PointInfo
    p,
    q,
    point;

  register long
    i,
    x;

  x=(long) (primitive_info->point.x+0.5);
  y=(long) (primitive_info->point.y+0.5);
  switch (primitive_info->primitive)
  {
    case PointPrimitive:
    {
      (void) LogMagickEvent(DrawEvent,GetMagickModule(),
        "PointPrimitive %ld,%ld %s",x,y,methods[primitive_info->method]);
      return;
    }
    case ColorPrimitive:
    {
      (void) LogMagickEvent(DrawEvent,GetMagickModule(),
        "ColorPrimitive %ld,%ld %s",x,y,methods[primitive_info->method]);
      return;
    }
    case MattePrimitive:
    {
      (void) LogMagickEvent(DrawEvent,GetMagickModule(),
        "MattePrimitive %ld,%ld %s",x,y,methods[primitive_info->method]);
      return;
    }
    case TextPrimitive:
    {
      (void) LogMagickEvent(DrawEvent,GetMagickModule(),
        "TextPrimitive %ld,%ld",x,y);
      return;
    }
    case ImagePrimitive:
    {
      (void) LogMagickEvent(DrawEvent,GetMagickModule(),
        "ImagePrimitive %ld,%ld",x,y);
      return;
    }
    default:
      break;
  }
  coordinates=0;
  p=primitive_info[0].point;
  q.x=(-1.0);
  q.y=(-1.0);
  for (i=0; primitive_info[i].primitive != UndefinedPrimitive; i++)
  {
    point=primitive_info[i].point;
    if (coordinates <= 0)
      {
        coordinates=(long) primitive_info[i].coordinates;
        (void) LogMagickEvent(DrawEvent,GetMagickModule(),
          "    begin open (%ld)",coordinates);
        p=point;
      }
    point=primitive_info[i].point;
    if ((fabs(q.x-point.x) > MagickEpsilon) ||
        (fabs(q.y-point.y) > MagickEpsilon))
      (void) LogMagickEvent(DrawEvent,GetMagickModule(),"      %ld: %g,%g",
        coordinates,point.x,point.y);
    else
      (void) LogMagickEvent(DrawEvent,GetMagickModule(),
        "      %ld: %g,%g (duplicate)",coordinates,point.x,point.y);
    q=point;
    coordinates--;
    if (coordinates > 0)
      continue;
    if ((fabs(p.x-point.x) > MagickEpsilon) ||
        (fabs(p.y-point.y) > MagickEpsilon))
      (void) LogMagickEvent(DrawEvent,GetMagickModule(),"    end last (%ld)",
        coordinates);
    else
      (void) LogMagickEvent(DrawEvent,GetMagickModule(),"    end open (%ld)",
        coordinates);
  }
}

MagickExport MagickBooleanType DrawPrimitive(Image *image,
  const DrawInfo *draw_info,const PrimitiveInfo *primitive_info)
{
  long
    y;

  MagickStatusType
    status;

  register long
    i,
    x;

  register PixelPacket
    *q;

  ViewInfo
    *image_view;

  if (image->debug != MagickFalse)
    {
      (void) LogMagickEvent(DrawEvent,GetMagickModule(),
        "  begin draw-primitive");
      (void) LogMagickEvent(DrawEvent,GetMagickModule(),
        "    affine: %g,%g,%g,%g,%g,%g",draw_info->affine.sx,
        draw_info->affine.rx,draw_info->affine.ry,draw_info->affine.sy,
        draw_info->affine.tx,draw_info->affine.ty);
    }
  status=MagickTrue;
  x=(long) (primitive_info->point.x+0.5);
  y=(long) (primitive_info->point.y+0.5);
  image_view=OpenCacheView(image);
  switch (primitive_info->primitive)
  {
    case PointPrimitive:
    {
      PixelPacket
        fill_color;

      q=GetCacheView(image_view,x,y,1,1);
      if (q == (PixelPacket *) NULL)
        break;
      fill_color=GetFillColor(draw_info,x,y);
      MagickCompositeOver(&fill_color,(MagickRealType) fill_color.opacity,q,
        (MagickRealType) q->opacity,q);
      (void) SyncCacheView(image_view);
      break;
    }
    case ColorPrimitive:
    {
      switch (primitive_info->method)
      {
        case PointMethod:
        default:
        {
          q=GetCacheView(image_view,x,y,1,1);
          if (q == (PixelPacket *) NULL)
            break;
          *q=GetFillColor(draw_info,x,y);
          (void) SyncCacheView(image_view);
          break;
        }
        case ReplaceMethod:
        {
          PixelPacket
            target;

          target=AcquireOneCacheViewPixel(image_view,x,y,&image->exception);
          for (y=0; y < (long) image->rows; y++)
          {
            q=GetCacheView(image_view,0,y,image->columns,1);
            if (q == (PixelPacket *) NULL)
              break;
            for (x=0; x < (long) image->columns; x++)
            {
              if (IsColorSimilar(image,q,&target) == MagickFalse)
                {
                  q++;
                  continue;
                }
              *q=GetFillColor(draw_info,x,y);
              q++;
            }
            if (SyncCacheView(image_view) == MagickFalse)
              break;
          }
          break;
        }
        case FloodfillMethod:
        case FillToBorderMethod:
        {
          PixelPacket
            border_color,
            target;

          target=AcquireOneCacheViewPixel(image_view,x,y,&image->exception);
          if (primitive_info->method == FillToBorderMethod)
            {
              border_color=draw_info->border_color;
              target=border_color;
            }
          (void) ColorFloodfillImage(image,draw_info,target,x,y,
            primitive_info->method);
          break;
        }
        case ResetMethod:
        {
          for (y=0; y < (long) image->rows; y++)
          {
            q=GetCacheView(image_view,0,y,image->columns,1);
            if (q == (PixelPacket *) NULL)
              break;
            for (x=0; x < (long) image->columns; x++)
            {
              *q=GetFillColor(draw_info,x,y);
              q++;
            }
            if (SyncCacheView(image_view) == MagickFalse)
              break;
          }
          break;
        }
      }
      break;
    }
    case MattePrimitive:
    {
      if (image->matte == MagickFalse)
        SetImageOpacity(image,OpaqueOpacity);
      switch (primitive_info->method)
      {
        case PointMethod:
        default:
        {
          q=GetCacheView(image_view,x,y,1,1);
          if (q == (PixelPacket *) NULL)
            break;
          q->opacity=GetFillColor(draw_info,x,y).opacity;
          (void) SyncCacheView(image_view);
          break;
        }
        case ReplaceMethod:
        {

          PixelPacket
            target;

          target=AcquireOneCacheViewPixel(image_view,x,y,&image->exception);
          for (y=0; y < (long) image->rows; y++)
          {
            q=GetCacheView(image_view,0,y,image->columns,1);
            if (q == (PixelPacket *) NULL)
              break;
            for (x=0; x < (long) image->columns; x++)
            {
              if (IsColorSimilar(image,q,&target) == MagickFalse)
                {
                  q++;
                  continue;
                }
              q->opacity=GetFillColor(draw_info,x,y).opacity;
              q++;
            }
            if (SyncCacheView(image_view) == MagickFalse)
              break;
          }
          break;
        }
        case FloodfillMethod:
        case FillToBorderMethod:
        {
          PixelPacket
            border_color,
            target;

          target=AcquireOneCacheViewPixel(image_view,x,y,&image->exception);
          if (primitive_info->method == FillToBorderMethod)
            {
              border_color=draw_info->border_color;
              target=border_color;
            }
          (void) MatteFloodfillImage(image,target,
            GetFillColor(draw_info,x,y).opacity,x,y,primitive_info->method);
          break;
        }
        case ResetMethod:
        {
          for (y=0; y < (long) image->rows; y++)
          {
            q=GetCacheView(image_view,0,y,image->columns,1);
            if (q == (PixelPacket *) NULL)
              break;
            for (x=0; x < (long) image->columns; x++)
            {
              q->opacity=GetFillColor(draw_info,x,y).opacity;
              q++;
            }
            if (SyncCacheView(image_view) == MagickFalse)
              break;
          }
          break;
        }
      }
      break;
    }
    case TextPrimitive:
    {
      char
        geometry[MaxTextExtent];

      DrawInfo
        *clone_info;

      if (primitive_info->text == (char *) NULL)
        break;
      clone_info=CloneDrawInfo((ImageInfo *) NULL,draw_info);
      (void) CloneString(&clone_info->text,primitive_info->text);
      (void) FormatMagickString(geometry,MaxTextExtent,"%+f%+f",
        primitive_info->point.x,primitive_info->point.y);
      (void) CloneString(&clone_info->geometry,geometry);
      status=AnnotateImage(image,clone_info);
      clone_info=DestroyDrawInfo(clone_info);
      break;
    }
    case ImagePrimitive:
    {
      AffineMatrix
        affine;

      char
        composite_geometry[MaxTextExtent];

      Image
        *composite_image;

      ImageInfo
        *clone_info;

      RectangleInfo
        geometry;

      if (primitive_info->text == (char *) NULL)
        break;
      clone_info=CloneImageInfo((ImageInfo *) NULL);
      if (LocaleNCompare(primitive_info->text,"data:",5) == 0)
        composite_image=ReadInlineImage(clone_info,primitive_info->text,
          &image->exception);
      else
        {
          (void) CopyMagickString(clone_info->filename,primitive_info->text,
            MaxTextExtent);
          composite_image=ReadImage(clone_info,&image->exception);
        }
      CatchException(&image->exception);
      clone_info=DestroyImageInfo(clone_info);
      if (composite_image == (Image *) NULL)
        break;
      (void) SetImageProgressMonitor(composite_image,
        (MagickProgressMonitor) NULL,(void *) NULL);
      if (((unsigned long) (primitive_info[1].point.x+0.5) != composite_image->columns) &&
          ((unsigned long) (primitive_info[1].point.y+0.5) != composite_image->rows))
        {
          char
            geometry[MaxTextExtent];

          /*
            Resize image.
          */
          (void) FormatMagickString(geometry,MaxTextExtent,"%gx%g!",
            primitive_info[1].point.x,primitive_info[1].point.y);
          (void) TransformImage(&composite_image,(char *) NULL,geometry);
        }
      if (composite_image->matte == MagickFalse)
        SetImageOpacity(composite_image,OpaqueOpacity);
      if (draw_info->opacity != OpaqueOpacity)
        SetImageOpacity(composite_image,draw_info->opacity);
      SetGeometry(image,&geometry);
      image->gravity=draw_info->gravity;
      geometry.x=x;
      geometry.y=y;
      (void) FormatMagickString(composite_geometry,MaxTextExtent,
        "%lux%lu%+ld%+ld",composite_image->columns,composite_image->rows,
        geometry.x,geometry.y);
      (void) ParseGravityGeometry(image,composite_geometry,&geometry);
      affine=draw_info->affine;
      affine.tx=(double) geometry.x;
      affine.ty=(double) geometry.y;
      if (draw_info->compose == OverCompositeOp)
        (void) DrawAffineImage(image,composite_image,&affine);
      else
        (void) CompositeImage(image,draw_info->compose,composite_image,
          geometry.x,geometry.y);
      composite_image=DestroyImage(composite_image);
      break;
    }
    default:
    {
      MagickRealType
        mid,
        scale;

      DrawInfo
        *clone_info;

      if (IsEventLogging() != MagickFalse)
        LogPrimitiveInfo(primitive_info);
      scale=ExpandAffine(&draw_info->affine);
      if ((draw_info->dash_pattern != (double *) NULL) &&
          (draw_info->dash_pattern[0] != 0.0) &&
          ((scale*draw_info->stroke_width) > MagickEpsilon) &&
          (draw_info->stroke.opacity != TransparentOpacity))
        {
          /*
            Draw dash polygon.
          */
          clone_info=CloneDrawInfo((ImageInfo *) NULL,draw_info);
          clone_info->stroke_width=0.0;
          clone_info->stroke.opacity=TransparentOpacity;
          status=DrawPolygonPrimitive(image,clone_info,primitive_info);
          clone_info=DestroyDrawInfo(clone_info);
          (void) DrawDashPolygon(draw_info,primitive_info,image);
          break;
        }
      mid=ExpandAffine(&draw_info->affine)*draw_info->stroke_width/2.0;
      if ((mid > 1.0) && (draw_info->stroke.opacity != TransparentOpacity))
        {
          MagickBooleanType
            closed_path;

          /*
            Draw strokes while respecting line cap/join attributes.
          */
          for (i=0; primitive_info[i].primitive != UndefinedPrimitive; i++);
          closed_path=
            (primitive_info[i-1].point.x == primitive_info[0].point.x) &&
            (primitive_info[i-1].point.y == primitive_info[0].point.y) ?
            MagickTrue : MagickFalse;
          i=(long) primitive_info[0].coordinates;
          if ((((draw_info->linecap == RoundCap) ||
                (closed_path != MagickFalse)) &&
               (draw_info->linejoin == RoundJoin)) ||
               (primitive_info[i].primitive != UndefinedPrimitive))
            {
              (void) DrawPolygonPrimitive(image,draw_info,primitive_info);
              break;
            }
          clone_info=CloneDrawInfo((ImageInfo *) NULL,draw_info);
          clone_info->stroke_width=0.0;
          clone_info->stroke.opacity=TransparentOpacity;
          status=DrawPolygonPrimitive(image,clone_info,primitive_info);
          clone_info=DestroyDrawInfo(clone_info);
          status|=DrawStrokePolygon(image,draw_info,primitive_info);
          break;
        }
      status=DrawPolygonPrimitive(image,draw_info,primitive_info);
      break;
    }
  }
  image_view=CloseCacheView(image_view);
  if (image->debug != MagickFalse)
    (void) LogMagickEvent(DrawEvent,GetMagickModule(),"  end draw-primitive");
  return(status != 0 ? MagickTrue : MagickFalse);
}

/*
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                                                                             %
%                                                                             %
%                                                                             %
+   D r a w S t r o k e P o l y g o n                                         %
%                                                                             %
%                                                                             %
%                                                                             %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%  DrawStrokePolygon() draws a stroked polygon (line, rectangle, ellipse) on
%  the image while respecting the line cap and join attributes.
%
%  The format of the DrawStrokePolygon method is:
%
%      MagickBooleanType DrawStrokePolygon(Image *image,
%        const DrawInfo *draw_info,const PrimitiveInfo *primitive_info)
%
%  A description of each parameter follows:
%
%    o image: The image.
%
%    o draw_info: The draw info.
%
%    o primitive_info: Specifies a pointer to a PrimitiveInfo structure.
%
%
*/

static void DrawRoundLinecap(Image *image,const DrawInfo *draw_info,
  const PrimitiveInfo *primitive_info)
{
  PrimitiveInfo
    linecap[5];

  register long
    i;

  for (i=0; i < 4; i++)
    linecap[i]=(*primitive_info);
  linecap[0].coordinates=4;
  linecap[1].point.x+=(double) (10.0*MagickEpsilon);
  linecap[2].point.x+=(double) (10.0*MagickEpsilon);
  linecap[2].point.y+=(double) (10.0*MagickEpsilon);
  linecap[3].point.y+=(double) (10.0*MagickEpsilon);
  linecap[4].primitive=UndefinedPrimitive;
  (void) DrawPolygonPrimitive(image,draw_info,linecap);
}

static MagickBooleanType DrawStrokePolygon(Image *image,
  const DrawInfo *draw_info,const PrimitiveInfo *primitive_info)
{
  DrawInfo
    *clone_info;

  MagickBooleanType
    closed_path,
    status;

  PrimitiveInfo
    *stroke_polygon;

  register const PrimitiveInfo
    *p,
    *q;

  /*
    Draw stroked polygon.
  */
  if (image->debug != MagickFalse)
    (void) LogMagickEvent(DrawEvent,GetMagickModule(),
      "    begin draw-stroke-polygon");
  clone_info=CloneDrawInfo((ImageInfo *) NULL,draw_info);
  clone_info->fill=draw_info->stroke;
  clone_info->stroke.opacity=TransparentOpacity;
  clone_info->stroke_width=0.0;
  clone_info->fill_rule=NonZeroRule;
  status=MagickTrue;
  for (p=primitive_info; p->primitive != UndefinedPrimitive; p+=p->coordinates)
  {
    stroke_polygon=TraceStrokePolygon(draw_info,p);
    status=DrawPolygonPrimitive(image,clone_info,stroke_polygon);
    stroke_polygon=(PrimitiveInfo *) RelinquishMagickMemory(stroke_polygon);
    q=p+p->coordinates-1;
    closed_path=(q->point.x == p->point.x) && (q->point.y == p->point.y) ?
      MagickTrue : MagickFalse;
    if ((draw_info->linecap == RoundCap) && (closed_path == MagickFalse))
      {
        DrawRoundLinecap(image,draw_info,p);
        DrawRoundLinecap(image,draw_info,q);
      }
  }
  clone_info=DestroyDrawInfo(clone_info);
  if (image->debug != MagickFalse)
    (void) LogMagickEvent(DrawEvent,GetMagickModule(),
      "    end draw-stroke-polygon");
  return(status);
}

/*
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                                                                             %
%                                                                             %
%                                                                             %
%   G e t A f f i n e M a t r i x                                             %
%                                                                             %
%                                                                             %
%                                                                             %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%  GetAffineMatrix() returns an AffineMatrix initialized to the identity
%  matrix.
%
%  The format of the GetAffineMatrix method is:
%
%      void GetAffineMatrix(AffineMatrix *affine_matrix)
%
%  A description of each parameter follows:
%
%    o affine_matrix: The affine matrix.
%
%
*/
MagickExport void GetAffineMatrix(AffineMatrix *affine_matrix)
{
  (void) LogMagickEvent(TraceEvent,GetMagickModule(),"...");
  assert(affine_matrix != (AffineMatrix *) NULL);
  (void) ResetMagickMemory(affine_matrix,0,sizeof(*affine_matrix));
  affine_matrix->sx=1.0;
  affine_matrix->sy=1.0;
}

/*
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                                                                             %
%                                                                             %
%                                                                             %
+   G e t D r a w I n f o                                                     %
%                                                                             %
%                                                                             %
%                                                                             %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%  GetDrawInfo() initializes draw_info to default values.
%
%  The format of the GetDrawInfo method is:
%
%      void GetDrawInfo(const ImageInfo *image_info,DrawInfo *draw_info)
%
%  A description of each parameter follows:
%
%    o image_info: The image info..
%
%    o draw_info: The draw info.
%
%
*/
MagickExport void GetDrawInfo(const ImageInfo *image_info,DrawInfo *draw_info)
{
  const char
    *option;

  ExceptionInfo
    exception;

  ImageInfo
    *clone_info;

  /*
    Initialize draw attributes.
  */
  (void) LogMagickEvent(TraceEvent,GetMagickModule(),"...");
  assert(draw_info != (DrawInfo *) NULL);
  (void) ResetMagickMemory(draw_info,0,sizeof(*draw_info));
  clone_info=CloneImageInfo(image_info);
  GetAffineMatrix(&draw_info->affine);
  draw_info->opacity=OpaqueOpacity;
  draw_info->fill.opacity=OpaqueOpacity;
  draw_info->stroke.opacity=TransparentOpacity;
  draw_info->stroke_antialias=clone_info->antialias;
  draw_info->stroke_width=1.0;
  draw_info->fill_rule=EvenOddRule;
  draw_info->linecap=ButtCap;
  draw_info->linejoin=MiterJoin;
  draw_info->miterlimit=10;
  draw_info->decorate=NoDecoration;
  if (clone_info->font != (char *) NULL)
    draw_info->font=AcquireString(clone_info->font);
  if (clone_info->density != (char *) NULL)
    draw_info->density=AcquireString(clone_info->density);
  draw_info->text_antialias=clone_info->antialias;
  draw_info->pointsize=clone_info->pointsize;
  draw_info->undercolor.opacity=TransparentOpacity;
  draw_info->border_color=clone_info->border_color;
  draw_info->compose=OverCompositeOp;
  if (clone_info->server_name != (char *) NULL)
    draw_info->server_name=AcquireString(clone_info->server_name);
  draw_info->render=MagickTrue;
  draw_info->debug=IsEventLogging();
  GetExceptionInfo(&exception);
  option=GetImageOption(clone_info,"fill");
  if (option != (const char *) NULL)
    (void) QueryColorDatabase(option,&draw_info->fill,&exception);
  option=GetImageOption(clone_info,"stroke");
  if (option != (const char *) NULL)
    (void) QueryColorDatabase(option,&draw_info->stroke,&exception);
  option=GetImageOption(clone_info,"undercolor");
  if (option != (const char *) NULL)
    (void) QueryColorDatabase(option,&draw_info->undercolor,&exception);
  option=GetImageOption(clone_info,"gravity");
  if (option != (const char *) NULL)
    draw_info->gravity=(GravityType) ParseMagickOption(MagickGravityOptions,
      MagickFalse,option);
  (void) DestroyExceptionInfo(&exception);
  draw_info->signature=MagickSignature;
  clone_info=DestroyImageInfo(clone_info);
}

/*
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                                                                             %
%                                                                             %
%                                                                             %
+   P e r m u t a t e                                                         %
%                                                                             %
%                                                                             %
%                                                                             %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%  Permutate() returns the permuation of the (n,k).
%
%  The format of the Permutate method is:
%
%      void Permutate(long n,long k)
%
%  A description of each parameter follows:
%
%    o n:
%
%    o k:
%
%
*/
static inline MagickRealType Permutate(const long n,const long k)
{
  MagickRealType
    r;

  register long
    i;

  r=1.0;
  for (i=k+1; i <= n; i++)
    r*=i;
  for (i=1; i <= (n-k); i++)
    r/=i;
  return(r);
}

/*
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                                                                             %
%                                                                             %
%                                                                             %
+   T r a c e P r i m i t i v e                                               %
%                                                                             %
%                                                                             %
%                                                                             %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%  TracePrimitive is a collection of methods for generating graphic
%  primitives such as arcs, ellipses, paths, etc.
%
%
*/

static void TraceArc(PrimitiveInfo *primitive_info,const PointInfo start,
  const PointInfo end,const PointInfo degrees)
{
  PointInfo
    center,
    radii;

  center.x=0.5*(end.x+start.x);
  center.y=0.5*(end.y+start.y);
  radii.x=fabs(center.x-start.x);
  radii.y=fabs(center.y-start.y);
  TraceEllipse(primitive_info,center,radii,degrees);
}

static void TraceArcPath(PrimitiveInfo *primitive_info,const PointInfo start,
  const PointInfo end,const PointInfo arc,const MagickRealType angle,
  const MagickBooleanType large_arc,const MagickBooleanType sweep)
{
  MagickRealType
    alpha,
    beta,
    delta,
    factor,
    gamma,
    theta;

  PointInfo
    center,
    points[3],
    radii;

  register MagickRealType
    cosine,
    sine;

  register PrimitiveInfo
    *p;

  register long
    i;

  unsigned long
    arc_segments;

  if ((start.x == end.x) && (start.y == end.y))
    return;
  radii.x=fabs(arc.x);
  radii.y=fabs(arc.y);
  if ((radii.x == 0.0) || (radii.y == 0.0))
    {
      TraceLine(primitive_info,start,end);
      return;
    }
  cosine=cos(DegreesToRadians(fmod((double) angle,360.0)));
  sine=sin(DegreesToRadians(fmod((double) angle,360.0)));
  center.x=(double) (cosine*(end.x-start.x)/2+sine*(end.y-start.y)/2);
  center.y=(double) (cosine*(end.y-start.y)/2-sine*(end.x-start.x)/2);
  delta=(center.x*center.x)/(radii.x*radii.x)+
    (center.y*center.y)/(radii.y*radii.y);
  if (delta > 1.0)
    {
      radii.x*=sqrt((double) delta);
      radii.y*=sqrt((double) delta);
    }
  points[0].x=(double) (cosine*start.x/radii.x+sine*start.y/radii.x);
  points[0].y=(double) (cosine*start.y/radii.y-sine*start.x/radii.y);
  points[1].x=(double) (cosine*end.x/radii.x+sine*end.y/radii.x);
  points[1].y=(double) (cosine*end.y/radii.y-sine*end.x/radii.y);
  alpha=points[1].x-points[0].x;
  beta=points[1].y-points[0].y;
  factor=1.0/(alpha*alpha+beta*beta)-0.25;
  if (factor <= 0.0)
    factor=0.0;
  else
    {
      factor=sqrt((double) factor);
      if (sweep == large_arc)
        factor=(-factor);
    }
  center.x=(double) ((points[0].x+points[1].x)/2-factor*beta);
  center.y=(double) ((points[0].y+points[1].y)/2+factor*alpha);
  alpha=atan2(points[0].y-center.y,points[0].x-center.x);
  theta=atan2(points[1].y-center.y,points[1].x-center.x)-alpha;
  if ((theta < 0.0) && (sweep != MagickFalse))
    theta+=(MagickRealType) (2.0*MagickPI);
  else
    if ((theta > 0.0) && (sweep == MagickFalse))
      theta-=(MagickRealType) (2.0*MagickPI);
  arc_segments=(unsigned long)
    ceil(fabs((double) (theta/(0.5*MagickPI+MagickEpsilon))));
  p=primitive_info;
  for (i=0; i < (long) arc_segments; i++)
  {
    beta=0.5*((alpha+(i+1)*theta/arc_segments)-(alpha+i*theta/arc_segments));
    gamma=(8.0/3.0)*sin(fmod((double) (0.5*beta),DegreesToRadians(360.0)))*
      sin(fmod((double) (0.5*beta),DegreesToRadians(360.0)))/
      sin(fmod((double) beta,DegreesToRadians(360.0)));
    points[0].x=(double) (center.x+cos(fmod((double) (alpha+(double) i*theta/
      arc_segments),DegreesToRadians(360.0)))-gamma*sin(fmod((double) (alpha+
      (double) i*theta/arc_segments),DegreesToRadians(360.0))));
    points[0].y=(double) (center.y+sin(fmod((double) (alpha+(double) i*theta/
      arc_segments),DegreesToRadians(360.0)))+gamma*cos(fmod((double) (alpha+
      (double) i*theta/arc_segments),DegreesToRadians(360.0))));
    points[2].x=(double) (center.x+cos(fmod((double) (alpha+(double) (i+1)*
      theta/arc_segments),DegreesToRadians(360.0))));
    points[2].y=(double) (center.y+sin(fmod((double) (alpha+(double) (i+1)*
      theta/arc_segments),DegreesToRadians(360.0))));
    points[1].x=(double) (points[2].x+gamma*sin(fmod((double) (alpha+(double)
      (i+1)*theta/arc_segments),DegreesToRadians(360.0))));
    points[1].y=(double) (points[2].y-gamma*cos(fmod((double) (alpha+(double)
      (i+1)*theta/arc_segments),DegreesToRadians(360.0))));
    p->point.x=(p == primitive_info) ? start.x : (p-1)->point.x;
    p->point.y=(p == primitive_info) ? start.y : (p-1)->point.y;
    (p+1)->point.x=(double) (cosine*radii.x*points[0].x-sine*radii.y*
      points[0].y);
    (p+1)->point.y=(double) (sine*radii.x*points[0].x+cosine*radii.y*
      points[0].y);
    (p+2)->point.x=(double) (cosine*radii.x*points[1].x-sine*radii.y*
      points[1].y);
    (p+2)->point.y=(double) (sine*radii.x*points[1].x+cosine*radii.y*
      points[1].y);
    (p+3)->point.x=(double) (cosine*radii.x*points[2].x-sine*radii.y*
      points[2].y);
    (p+3)->point.y=(double) (sine*radii.x*points[2].x+cosine*radii.y*
      points[2].y);
    if (i == (long) (arc_segments-1))
      (p+3)->point=end;
    TraceBezier(p,4);
    p+=p->coordinates;
  }
  primitive_info->coordinates=(unsigned long) (p-primitive_info);
  for (i=0; i < (long) primitive_info->coordinates; i++)
  {
    p->primitive=primitive_info->primitive;
    p--;
  }
}

static void TraceBezier(PrimitiveInfo *primitive_info,
  const unsigned long number_coordinates)
{
  MagickRealType
    alpha,
    *coefficients,
    weight;

  PointInfo
    end,
    point,
    *points;

  register long
    i,
    j;

  register PrimitiveInfo
    *p;

  unsigned long
    control_points,
    quantum;

  /*
    Allocate coeficients.
  */
  quantum=number_coordinates;
  for (i=0; i < (long) number_coordinates; i++)
  {
    for (j=i+1; j < (long) number_coordinates; j++)
    {
      alpha=fabs(primitive_info[j].point.x-primitive_info[i].point.x);
      if (alpha > (MagickRealType) quantum)
        quantum=(unsigned long) alpha;
      alpha=fabs(primitive_info[j].point.y-primitive_info[i].point.y);
      if (alpha > (MagickRealType) quantum)
        quantum=(unsigned long) alpha;
    }
  }
  quantum=Min(quantum/number_coordinates,BezierQuantum);
  control_points=quantum*number_coordinates;
  coefficients=(MagickRealType *) AcquireMagickMemory((size_t)
    number_coordinates*sizeof(*coefficients));
  points=(PointInfo *) AcquireMagickMemory((size_t) control_points*
    sizeof(*points));
  if ((coefficients == (MagickRealType *) NULL) ||
      (points == (PointInfo *) NULL))
    {
      char
        *message;

      message=GetExceptionMessage(errno);
      ThrowMagickFatalException(ResourceLimitFatalError,
        "MemoryAllocationFailed",message);
      message=(char *) RelinquishMagickMemory(message);
    }
  /*
    Compute bezier points.
  */
  end=primitive_info[number_coordinates-1].point;
  for (i=0; i < (long) number_coordinates; i++)
    coefficients[i]=Permutate((long) number_coordinates-1,i);
  weight=0.0;
  for (i=0; i < (long) control_points; i++)
  {
    p=primitive_info;
    point.x=0.0;
    point.y=0.0;
    alpha=pow((double) (1.0-weight),(double) number_coordinates-1.0);
    for (j=0; j < (long) number_coordinates; j++)
    {
      point.x+=alpha*coefficients[j]*p->point.x;
      point.y+=alpha*coefficients[j]*p->point.y;
      alpha*=weight/(1.0-weight);
      p++;
    }
    points[i]=point;
    weight+=1.0/control_points;
  }
  /*
    Bezier curves are just short segmented polys.
  */
  p=primitive_info;
  for (i=0; i < (long) control_points; i++)
  {
    TracePoint(p,points[i]);
    p+=p->coordinates;
  }
  TracePoint(p,end);
  p+=p->coordinates;
  primitive_info->coordinates=(unsigned long) (p-primitive_info);
  for (i=0; i < (long) primitive_info->coordinates; i++)
  {
    p->primitive=primitive_info->primitive;
    p--;
  }
  points=(PointInfo *) RelinquishMagickMemory(points);
  coefficients=(MagickRealType *) RelinquishMagickMemory(coefficients);
}

static void TraceCircle(PrimitiveInfo *primitive_info,const PointInfo start,
  const PointInfo end)
{
  MagickRealType
    alpha,
    beta,
    radius;

  PointInfo
    offset,
    degrees;

  alpha=end.x-start.x;
  beta=end.y-start.y;
  radius=sqrt((double) (alpha*alpha+beta*beta));
  offset.x=(double) radius;
  offset.y=(double) radius;
  degrees.x=0.0;
  degrees.y=360.0;
  TraceEllipse(primitive_info,start,offset,degrees);
}

static void TraceEllipse(PrimitiveInfo *primitive_info,const PointInfo start,
  const PointInfo stop,const PointInfo degrees)
{
  MagickRealType
    delta,
    step,
    y;

  PointInfo
    angle,
    point;

  register PrimitiveInfo
    *p;

  register long
    i;

  /*
    Ellipses are just short segmented polys.
  */
  delta=2.0/Max(stop.x,stop.y);
  step=(MagickRealType) (MagickPI/8.0);
  if (delta < (MagickPI/8.0))
    step=MagickPI/(4*(MagickPI/delta/2+0.5));
  angle.x=DegreesToRadians(degrees.x);
  y=degrees.y;
  while (y < degrees.x)
    y+=360.0;
  angle.y=(double) (DegreesToRadians(y)-MagickEpsilon);
  for (p=primitive_info; angle.x < angle.y; angle.x+=step)
  {
    point.x=cos(fmod(angle.x,DegreesToRadians(360.0)))*stop.x+start.x;
    point.y=sin(fmod(angle.x,DegreesToRadians(360.0)))*stop.y+start.y;
    TracePoint(p,point);
    p+=p->coordinates;
  }
  point.x=cos(fmod(angle.y,DegreesToRadians(360.0)))*stop.x+start.x;
  point.y=sin(fmod(angle.y,DegreesToRadians(360.0)))*stop.y+start.y;
  TracePoint(p,point);
  p+=p->coordinates;
  primitive_info->coordinates=(unsigned long) (p-primitive_info);
  for (i=0; i < (long) primitive_info->coordinates; i++)
  {
    p->primitive=primitive_info->primitive;
    p--;
  }
}

static void TraceLine(PrimitiveInfo *primitive_info,const PointInfo start,
  const PointInfo end)
{
  TracePoint(primitive_info,start);
  if ((AbsoluteValue(start.x-end.x) <= MagickEpsilon) &&
      (AbsoluteValue(start.y-end.y) <= MagickEpsilon))
    {
      primitive_info->primitive=PointPrimitive;
      primitive_info->coordinates=1;
      return;
    }
  TracePoint(primitive_info+1,end);
  (primitive_info+1)->primitive=primitive_info->primitive;
  primitive_info->coordinates=2;
}

static unsigned long TracePath(PrimitiveInfo *primitive_info,const char *path)
{
  char
    *p,
    token[MaxTextExtent];

  int
    attribute,
    last_attribute;

  MagickRealType
    x,
    y;

  PointInfo
    end,
    points[4],
    point,
    start;

  PrimitiveType
    primitive_type;

  register PrimitiveInfo
    *q;

  register long
    i;

  unsigned long
    number_coordinates,
    z_count;

  attribute=0;
  point.x=0.0;
  point.y=0.0;
  start.x=0.0;
  start.y=0.0;
  number_coordinates=0;
  z_count=0;
  primitive_type=primitive_info->primitive;
  q=primitive_info;
  for (p=(char *) path; *p != '\0'; )
  {
    while (isspace((int) ((unsigned char) *p)) != 0)
      p++;
    if (*p == '\0')
      break;
    last_attribute=attribute;
    attribute=(int) (*p++);
    switch (attribute)
    {
      case 'a':
      case 'A':
      {
        MagickBooleanType
          large_arc,
          sweep;

        MagickRealType
          angle;

        PointInfo
          arc;

        /*
          Compute arc points.
        */
        GetMagickToken(p,&p,token);
        if (*token == ',')
          GetMagickToken(p,&p,token);
        arc.x=atof(token);
        GetMagickToken(p,&p,token);
        if (*token == ',')
          GetMagickToken(p,&p,token);
        arc.y=atof(token);
        GetMagickToken(p,&p,token);
        if (*token == ',')
          GetMagickToken(p,&p,token);
        angle=atof(token);
        GetMagickToken(p,&p,token);
        if (*token == ',')
          GetMagickToken(p,&p,token);
        large_arc=atoi(token) != 0 ? MagickTrue : MagickFalse;
        GetMagickToken(p,&p,token);
        if (*token == ',')
          GetMagickToken(p,&p,token);
        sweep=atoi(token) != 0 ? MagickTrue : MagickFalse;
        GetMagickToken(p,&p,token);
        if (*token == ',')
          GetMagickToken(p,&p,token);
        x=atof(token);
        GetMagickToken(p,&p,token);
        if (*token == ',')
          GetMagickToken(p,&p,token);
        y=atof(token);
        end.x=(double) (attribute == (int) 'A' ? x : point.x+x);
        end.y=(double) (attribute == (int) 'A' ? y : point.y+y);
        TraceArcPath(q,point,end,arc,angle,large_arc,sweep);
        q+=q->coordinates;
        point=end;
        break;
      }
      case 'c':
      case 'C':
      {
        /*
          Compute bezier points.
        */
        do
        {
          points[0]=point;
          for (i=1; i <= 3; i++)
          {
            GetMagickToken(p,&p,token);
            if (*token == ',')
              GetMagickToken(p,&p,token);
            x=atof(token);
            GetMagickToken(p,&p,token);
            if (*token == ',')
              GetMagickToken(p,&p,token);
            y=atof(token);
            end.x=(double) (attribute == (int) 'C' ? x : point.x+x);
            end.y=(double) (attribute == (int) 'C' ? y : point.y+y);
            points[i]=end;
          }
          for (i=0; i <= 3; i++)
            (q+i)->point=points[i];
          TraceBezier(q,4);
          q+=q->coordinates;
          point=end;
        } while (IsPoint(p) != MagickFalse);
        break;
      }
      case 'H':
      case 'h':
      {
        do
        {
          GetMagickToken(p,&p,token);
          if (*token == ',')
            GetMagickToken(p,&p,token);
          x=atof(token);
          point.x=(double) (attribute == (int) 'H' ? x: point.x+x);
          TracePoint(q,point);
          q+=q->coordinates;
        } while (IsPoint(p) != MagickFalse);
        break;
      }
      case 'l':
      case 'L':
      {
        do
        {
          GetMagickToken(p,&p,token);
          if (*token == ',')
            GetMagickToken(p,&p,token);
          x=atof(token);
          GetMagickToken(p,&p,token);
          if (*token == ',')
            GetMagickToken(p,&p,token);
          y=atof(token);
          point.x=(double) (attribute == (int) 'L' ? x : point.x+x);
          point.y=(double) (attribute == (int) 'L' ? y : point.y+y);
          TracePoint(q,point);
          q+=q->coordinates;
        } while (IsPoint(p) != MagickFalse);
        break;
      }
      case 'M':
      case 'm':
      {
        if (q != primitive_info)
          {
            primitive_info->coordinates=(unsigned long) (q-primitive_info);
            number_coordinates+=primitive_info->coordinates;
            primitive_info=q;
          }
        i=0;
        do
        {
          GetMagickToken(p,&p,token);
          if (*token == ',')
            GetMagickToken(p,&p,token);
          x=atof(token);
          GetMagickToken(p,&p,token);
          if (*token == ',')
            GetMagickToken(p,&p,token);
          y=atof(token);
          point.x=(double) (attribute == (int) 'M' ? x : point.x+x);
          point.y=(double) (attribute == (int) 'M' ? y : point.y+y);
          if (i == 0)
            start=point;
          i++;
          TracePoint(q,point);
          q+=q->coordinates;
        } while (IsPoint(p) != MagickFalse);
        break;
      }
      case 'q':
      case 'Q':
      {
        /*
          Compute bezier points.
        */
        do
        {
          points[0]=point;
          for (i=1; i < 3; i++)
          {
            GetMagickToken(p,&p,token);
            if (*token == ',')
              GetMagickToken(p,&p,token);
            x=atof(token);
            GetMagickToken(p,&p,token);
            if (*token == ',')
              GetMagickToken(p,&p,token);
            y=atof(token);
            if (*p == ',')
              p++;
            end.x=(double) (attribute == (int) 'Q' ? x : point.x+x);
            end.y=(double) (attribute == (int) 'Q' ? y : point.y+y);
            points[i]=end;
          }
          for (i=0; i < 3; i++)
            (q+i)->point=points[i];
          TraceBezier(q,3);
          q+=q->coordinates;
          point=end;
        } while (IsPoint(p) != MagickFalse);
        break;
      }
      case 's':
      case 'S':
      {
        /*
          Compute bezier points.
        */
        do
        {
          points[0]=points[3];
          points[1].x=2.0*points[3].x-points[2].x;
          points[1].y=2.0*points[3].y-points[2].y;
          for (i=2; i <= 3; i++)
          {
            GetMagickToken(p,&p,token);
            if (*token == ',')
              GetMagickToken(p,&p,token);
            x=atof(token);
            GetMagickToken(p,&p,token);
            if (*token == ',')
              GetMagickToken(p,&p,token);
            y=atof(token);
            if (*p == ',')
              p++;
            end.x=(double) (attribute == (int) 'S' ? x : point.x+x);
            end.y=(double) (attribute == (int) 'S' ? y : point.y+y);
            points[i]=end;
          }
          if (strchr("CcSs",last_attribute) == (char *) NULL)
            {
              points[0]=points[2];
              points[1]=points[3];
            }
          for (i=0; i <= 4; i++)
            (q+i)->point=points[i];
          TraceBezier(q,4);
          q+=q->coordinates;
          point=end;
        } while (IsPoint(p) != MagickFalse);
        break;
      }
      case 't':
      case 'T':
      {
        /*
          Compute bezier points.
        */
        do
        {
          points[0]=points[2];
          points[1].x=2.0*points[2].x-points[1].x;
          points[1].y=2.0*points[2].y-points[1].y;
          for (i=2; i < 3; i++)
          {
            GetMagickToken(p,&p,token);
            if (*token == ',')
              GetMagickToken(p,&p,token);
            x=atof(token);
            GetMagickToken(p,&p,token);
            if (*token == ',')
              GetMagickToken(p,&p,token);
            y=atof(token);
            end.x=(double) (attribute == (int) 'T' ? x : point.x+x);
            end.y=(double) (attribute == (int) 'T' ? y : point.y+y);
            points[i]=end;
          }
          if (strchr("QqTt",last_attribute) == (char *) NULL)
            {
              points[0]=points[2];
              points[1]=points[3];
            }
          for (i=0; i < 3; i++)
            (q+i)->point=points[i];
          TraceBezier(q,3);
          q+=q->coordinates;
          point=end;
        } while (IsPoint(p) != MagickFalse);
        break;
      }
      case 'v':
      case 'V':
      {
        do
        {
          GetMagickToken(p,&p,token);
          if (*token == ',')
            GetMagickToken(p,&p,token);
          y=atof(token);
          point.y=(double) (attribute == (int) 'V' ? y : point.y+y);
          TracePoint(q,point);
          q+=q->coordinates;
        } while (IsPoint(p) != MagickFalse);
        break;
      }
      case 'z':
      case 'Z':
      {
        point=start;
        TracePoint(q,point);
        q+=q->coordinates;
        primitive_info->coordinates=(unsigned long) (q-primitive_info);
        number_coordinates+=primitive_info->coordinates;
        primitive_info=q;
        z_count++;
        break;
      }
      default:
      {
        if (isalpha((int) ((unsigned char) attribute)) != 0)
          (void) fprintf(stderr,"attribute not recognized: %c\n",attribute);
        break;
      }
    }
  }
  primitive_info->coordinates=(unsigned long) (q-primitive_info);
  number_coordinates+=primitive_info->coordinates;
  for (i=0; i < (long) number_coordinates; i++)
  {
    q--;
    q->primitive=primitive_type;
    if (z_count > 1)
      q->method=FillToBorderMethod;
  }
  q=primitive_info;
  return(number_coordinates);
}

static void TraceRectangle(PrimitiveInfo *primitive_info,const PointInfo start,
  const PointInfo end)
{
  PointInfo
    point;

  register PrimitiveInfo
    *p;

  register long
    i;

  p=primitive_info;
  TracePoint(p,start);
  p+=p->coordinates;
  point.x=start.x;
  point.y=end.y;
  TracePoint(p,point);
  p+=p->coordinates;
  TracePoint(p,end);
  p+=p->coordinates;
  point.x=end.x;
  point.y=start.y;
  TracePoint(p,point);
  p+=p->coordinates;
  TracePoint(p,start);
  p+=p->coordinates;
  primitive_info->coordinates=(unsigned long) (p-primitive_info);
  for (i=0; i < (long) primitive_info->coordinates; i++)
  {
    p->primitive=primitive_info->primitive;
    p--;
  }
}

static void TraceRoundRectangle(PrimitiveInfo *primitive_info,
  const PointInfo start,const PointInfo end,PointInfo arc)
{
  PointInfo
    degrees,
    offset,
    point;

  register PrimitiveInfo
    *p;

  register long
    i;

  p=primitive_info;
  offset.x=AbsoluteValue(end.x-start.x);
  offset.y=AbsoluteValue(end.y-start.y);
  if (arc.x > (0.5*offset.x))
    arc.x=0.5*offset.x;
  if (arc.y > (0.5*offset.y))
    arc.y=0.5*offset.y;
  point.x=start.x+offset.x-arc.x;
  point.y=start.y+arc.y;
  degrees.x=270.0;
  degrees.y=360.0;
  TraceEllipse(p,point,arc,degrees);
  p+=p->coordinates;
  point.x=start.x+offset.x-arc.x;
  point.y=start.y+offset.y-arc.y;
  degrees.x=0.0;
  degrees.y=90.0;
  TraceEllipse(p,point,arc,degrees);
  p+=p->coordinates;
  point.x=start.x+arc.x;
  point.y=start.y+offset.y-arc.y;
  degrees.x=90.0;
  degrees.y=180.0;
  TraceEllipse(p,point,arc,degrees);
  p+=p->coordinates;
  point.x=start.x+arc.x;
  point.y=start.y+arc.y;
  degrees.x=180.0;
  degrees.y=270.0;
  TraceEllipse(p,point,arc,degrees);
  p+=p->coordinates;
  TracePoint(p,primitive_info->point);
  p+=p->coordinates;
  primitive_info->coordinates=(unsigned long) (p-primitive_info);
  for (i=0; i < (long) primitive_info->coordinates; i++)
  {
    p->primitive=primitive_info->primitive;
    p--;
  }
}

static void TraceSquareLinecap(PrimitiveInfo *primitive_info,
  const unsigned long number_vertices,const MagickRealType offset)
{
  MagickRealType
    distance;

  long
    j;

  register MagickRealType
    dx,
    dy;

  register long
    i;

  dx=0.0;
  dy=0.0;
  for (i=1; i < (long) number_vertices; i++)
  {
    dx=primitive_info[0].point.x-primitive_info[i].point.x;
    dy=primitive_info[0].point.y-primitive_info[i].point.y;
    if ((fabs((double) dx) >= MagickEpsilon) ||
        (fabs((double) dy) >= MagickEpsilon))
      break;
  }
  distance=sqrt((double) (dx*dx+dy*dy+MagickEpsilon));
  primitive_info[0].point.x=(double) (primitive_info[i].point.x+
    dx*(distance+offset)/distance);
  primitive_info[0].point.y=(double) (primitive_info[i].point.y+
    dy*(distance+offset)/distance);
  for (j=(long) number_vertices-2; j >= 0;  j--)
  {
    dx=primitive_info[number_vertices-1].point.x-primitive_info[j].point.x;
    dy=primitive_info[number_vertices-1].point.y-primitive_info[j].point.y;
    if ((fabs((double) dx) >= MagickEpsilon) ||
        (fabs((double) dy) >= MagickEpsilon))
      break;
  }
  distance=sqrt((double) (dx*dx+dy*dy+MagickEpsilon));
  primitive_info[number_vertices-1].point.x=(double) (primitive_info[j].point.x+
    dx*(distance+offset)/distance);
  primitive_info[number_vertices-1].point.y=(double) (primitive_info[j].point.y+
    dy*(distance+offset)/distance);
}

static PrimitiveInfo *TraceStrokePolygon(const DrawInfo *draw_info,
  const PrimitiveInfo *primitive_info)
{
  typedef struct _LineSegment
  {
    double
      p,
      q;
  } LineSegment;

  LineSegment
    dx,
    dy,
    inverse_slope,
    slope,
    theta;

  MagickBooleanType
    closed_path;

  MagickRealType
    delta_theta,
    dot_product,
    mid,
    miterlimit;

  PointInfo
    box_p[5],
    box_q[5],
    center,
    offset,
    *path_p,
    *path_q;

  PrimitiveInfo
    *polygon_primitive,
    *stroke_polygon;

  register long
    i;

  unsigned long
    arc_segments,
    j,
    n,
    max_strokes,
    number_vertices,
    p,
    q;

  /*
    Allocate paths.
  */
  number_vertices=primitive_info->coordinates;
  max_strokes=2*number_vertices+6*BezierQuantum+360;
  path_p=(PointInfo *)
    AcquireMagickMemory((size_t) max_strokes*sizeof(*path_p));
  path_q=(PointInfo *)
    AcquireMagickMemory((size_t) max_strokes*sizeof(*path_q));
  polygon_primitive=(PrimitiveInfo *) AcquireMagickMemory((size_t)
    (number_vertices+2)*sizeof(*polygon_primitive));
  if ((path_p == (PointInfo *) NULL) || (path_q == (PointInfo *) NULL) ||
      (polygon_primitive == (PrimitiveInfo *) NULL))
    return((PrimitiveInfo *) NULL);
  (void) CopyMagickMemory(polygon_primitive,primitive_info,(size_t)
    number_vertices*sizeof(*polygon_primitive));
  closed_path=
    (primitive_info[number_vertices-1].point.x == primitive_info[0].point.x) &&
    (primitive_info[number_vertices-1].point.y == primitive_info[0].point.y) ?
    MagickTrue : MagickFalse;
  if ((draw_info->linejoin == RoundJoin) ||
      ((draw_info->linejoin == MiterJoin) && (closed_path != MagickFalse)))
    {
      polygon_primitive[number_vertices]=primitive_info[1];
      number_vertices++;
    }
  polygon_primitive[number_vertices].primitive=UndefinedPrimitive;
  /*
    Compute the slope for the first line segment, p.
  */
  dx.p=0.0;
  dy.p=0.0;
  for (n=1; n < number_vertices; n++)
  {
    dx.p=polygon_primitive[n].point.x-polygon_primitive[0].point.x;
    dy.p=polygon_primitive[n].point.y-polygon_primitive[0].point.y;
    if ((fabs(dx.p) >= MagickEpsilon) || (fabs(dy.p) >= MagickEpsilon))
      break;
  }
  slope.p=0.0;
  inverse_slope.p=0.0;
  if (fabs(dx.p) <= MagickEpsilon)
    {
      if (dx.p >= 0.0)
        slope.p=dy.p < 0.0 ? -1.0/MagickEpsilon : 1.0/MagickEpsilon;
      else
        slope.p=dy.p < 0.0 ? 1.0/MagickEpsilon : -1.0/MagickEpsilon;
    }
  else
    if (fabs(dy.p) <= MagickEpsilon)
      {
        if (dy.p >= 0.0)
          inverse_slope.p=dx.p < 0.0 ? -1.0/MagickEpsilon : 1.0/MagickEpsilon;
        else
          inverse_slope.p=dx.p < 0.0 ? 1.0/MagickEpsilon : -1.0/MagickEpsilon;
      }
    else
      {
        slope.p=dy.p/dx.p;
        inverse_slope.p=(-1.0/slope.p);
      }
  mid=ExpandAffine(&draw_info->affine)*draw_info->stroke_width/2.0;
  miterlimit=(MagickRealType) (draw_info->miterlimit*draw_info->miterlimit*
    mid*mid);
  if ((draw_info->linecap == SquareCap) && (closed_path == MagickFalse))
    TraceSquareLinecap(polygon_primitive,number_vertices,mid);
  offset.x=sqrt((double) (mid*mid/(inverse_slope.p*inverse_slope.p+1.0)));
  offset.y=(double) (offset.x*inverse_slope.p);
  if ((dy.p*offset.x-dx.p*offset.y) > 0.0)
    {
      box_p[0].x=polygon_primitive[0].point.x-offset.x;
      box_p[0].y=polygon_primitive[0].point.y-offset.x*inverse_slope.p;
      box_p[1].x=polygon_primitive[n].point.x-offset.x;
      box_p[1].y=polygon_primitive[n].point.y-offset.x*inverse_slope.p;
      box_q[0].x=polygon_primitive[0].point.x+offset.x;
      box_q[0].y=polygon_primitive[0].point.y+offset.x*inverse_slope.p;
      box_q[1].x=polygon_primitive[n].point.x+offset.x;
      box_q[1].y=polygon_primitive[n].point.y+offset.x*inverse_slope.p;
    }
  else
    {
      box_p[0].x=polygon_primitive[0].point.x+offset.x;
      box_p[0].y=polygon_primitive[0].point.y+offset.y;
      box_p[1].x=polygon_primitive[n].point.x+offset.x;
      box_p[1].y=polygon_primitive[n].point.y+offset.y;
      box_q[0].x=polygon_primitive[0].point.x-offset.x;
      box_q[0].y=polygon_primitive[0].point.y-offset.y;
      box_q[1].x=polygon_primitive[n].point.x-offset.x;
      box_q[1].y=polygon_primitive[n].point.y-offset.y;
    }
  /*
    Create strokes for the line join attribute: bevel, miter, round.
  */
  p=0;
  q=0;
  path_q[p++]=box_q[0];
  path_p[q++]=box_p[0];
  for (i=(long) n+1; i < (long) number_vertices; i++)
  {
    /*
      Compute the slope for this line segment, q.
    */
    dx.q=polygon_primitive[i].point.x-polygon_primitive[n].point.x;
    dy.q=polygon_primitive[i].point.y-polygon_primitive[n].point.y;
    dot_product=dx.q*dx.q+dy.q*dy.q;
    if (dot_product < 0.25)
      continue;
    slope.q=0.0;
    inverse_slope.q=0.0;
    if (fabs(dx.q) < MagickEpsilon)
      {
        if (dx.q >= 0.0)
          slope.q=dy.q < 0.0 ? -1.0/MagickEpsilon : 1.0/MagickEpsilon;
        else
          slope.q=dy.q < 0.0 ? 1.0/MagickEpsilon : -1.0/MagickEpsilon;
      }
    else
      if (fabs(dy.q) <= MagickEpsilon)
        {
          if (dy.q >= 0.0)
            inverse_slope.q=dx.q < 0.0 ? -1.0/MagickEpsilon : 1.0/MagickEpsilon;
          else
            inverse_slope.q=dx.q < 0.0 ? 1.0/MagickEpsilon : -1.0/MagickEpsilon;
        }
      else
        {
          slope.q=dy.q/dx.q;
          inverse_slope.q=(-1.0/slope.q);
        }
    offset.x=sqrt((double) (mid*mid/(inverse_slope.q*inverse_slope.q+1.0)));
    offset.y=(double) (offset.x*inverse_slope.q);
    dot_product=dy.q*offset.x-dx.q*offset.y;
    if (dot_product > 0.0)
      {
        box_p[2].x=polygon_primitive[n].point.x-offset.x;
        box_p[2].y=polygon_primitive[n].point.y-offset.y;
        box_p[3].x=polygon_primitive[i].point.x-offset.x;
        box_p[3].y=polygon_primitive[i].point.y-offset.y;
        box_q[2].x=polygon_primitive[n].point.x+offset.x;
        box_q[2].y=polygon_primitive[n].point.y+offset.y;
        box_q[3].x=polygon_primitive[i].point.x+offset.x;
        box_q[3].y=polygon_primitive[i].point.y+offset.y;
      }
    else
      {
        box_p[2].x=polygon_primitive[n].point.x+offset.x;
        box_p[2].y=polygon_primitive[n].point.y+offset.y;
        box_p[3].x=polygon_primitive[i].point.x+offset.x;
        box_p[3].y=polygon_primitive[i].point.y+offset.y;
        box_q[2].x=polygon_primitive[n].point.x-offset.x;
        box_q[2].y=polygon_primitive[n].point.y-offset.y;
        box_q[3].x=polygon_primitive[i].point.x-offset.x;
        box_q[3].y=polygon_primitive[i].point.y-offset.y;
      }
    if (fabs((double) (slope.p-slope.q)) <= MagickEpsilon)
      {
        box_p[4]=box_p[1];
        box_q[4]=box_q[1];
      }
    else
      {
        box_p[4].x=(double) ((slope.p*box_p[0].x-box_p[0].y-slope.q*box_p[3].x+
          box_p[3].y)/(slope.p-slope.q));
        box_p[4].y=(double) (slope.p*(box_p[4].x-box_p[0].x)+box_p[0].y);
        box_q[4].x=(double) ((slope.p*box_q[0].x-box_q[0].y-slope.q*box_q[3].x+
          box_q[3].y)/(slope.p-slope.q));
        box_q[4].y=(double) (slope.p*(box_q[4].x-box_q[0].x)+box_q[0].y);
      }
    if (q >= (max_strokes-6*BezierQuantum-360))
      {
         max_strokes+=6*BezierQuantum+360;
         path_p=(PointInfo *)
           ResizeMagickMemory(path_p,(size_t) max_strokes*sizeof(*path_p));
         path_q=(PointInfo *)
           ResizeMagickMemory(path_q,(size_t) max_strokes*sizeof(*path_q));
         if ((path_p == (PointInfo *) NULL) || (path_q == (PointInfo *) NULL))
           {
             polygon_primitive=(PrimitiveInfo *)
               RelinquishMagickMemory(polygon_primitive);
             return((PrimitiveInfo *) NULL);
           }
      }
    dot_product=dx.q*dy.p-dx.p*dy.q;
    if (dot_product <= 0.0)
      switch (draw_info->linejoin)
      {
        case BevelJoin:
        {
          path_q[q++]=box_q[1];
          path_q[q++]=box_q[2];
          dot_product=(box_q[4].x-box_p[4].x)*(box_q[4].x-box_p[4].x)+
            (box_q[4].y-box_p[4].y)*(box_q[4].y-box_p[4].y);
          if (dot_product <= miterlimit)
            path_p[p++]=box_p[4];
          else
            {
              path_p[p++]=box_p[1];
              path_p[p++]=box_p[2];
            }
          break;
        }
        case MiterJoin:
        {
          dot_product=(box_q[4].x-box_p[4].x)*(box_q[4].x-box_p[4].x)+
            (box_q[4].y-box_p[4].y)*(box_q[4].y-box_p[4].y);
          if (dot_product <= miterlimit)
            {
              path_q[q++]=box_q[4];
              path_p[p++]=box_p[4];
            }
          else
            {
              path_q[q++]=box_q[1];
              path_q[q++]=box_q[2];
              path_p[p++]=box_p[1];
              path_p[p++]=box_p[2];
            }
          break;
        }
        case RoundJoin:
        {
          dot_product=(box_q[4].x-box_p[4].x)*(box_q[4].x-box_p[4].x)+
            (box_q[4].y-box_p[4].y)*(box_q[4].y-box_p[4].y);
          if (dot_product <= miterlimit)
            path_p[p++]=box_p[4];
          else
            {
              path_p[p++]=box_p[1];
              path_p[p++]=box_p[2];
            }
          center=polygon_primitive[n].point;
          theta.p=atan2(box_q[1].y-center.y,box_q[1].x-center.x);
          theta.q=atan2(box_q[2].y-center.y,box_q[2].x-center.x);
          if (theta.q < theta.p)
            theta.q+=(MagickRealType) (2.0*MagickPI);
          arc_segments=(unsigned long)
            ceil((double) ((theta.q-theta.p)/(2.0*sqrt((double) (1.0/mid)))));
          path_q[q].x=box_q[1].x;
          path_q[q].y=box_q[1].y;
          q++;
          for (j=1; j < arc_segments; j++)
          {
            delta_theta=(MagickRealType) (j*(theta.q-theta.p)/arc_segments);
            path_q[q].x=(double) (center.x+mid*cos(fmod((double)
              (theta.p+delta_theta),DegreesToRadians(360.0))));
            path_q[q].y=(double) (center.y+mid*sin(fmod((double)
              (theta.p+delta_theta),DegreesToRadians(360.0))));
            q++;
          }
          path_q[q++]=box_q[2];
          break;
        }
        default:
          break;
      }
    else
      switch (draw_info->linejoin)
      {
        case BevelJoin:
        {
          path_p[p++]=box_p[1];
          path_p[p++]=box_p[2];
          dot_product=(box_q[4].x-box_p[4].x)*(box_q[4].x-box_p[4].x)+
            (box_q[4].y-box_p[4].y)*(box_q[4].y-box_p[4].y);
          if (dot_product <= miterlimit)
            path_q[q++]=box_q[4];
          else
            {
              path_q[q++]=box_q[1];
              path_q[q++]=box_q[2];
            }
          break;
        }
        case MiterJoin:
        {
          dot_product=(box_q[4].x-box_p[4].x)*(box_q[4].x-box_p[4].x)+
            (box_q[4].y-box_p[4].y)*(box_q[4].y-box_p[4].y);
          if (dot_product <= miterlimit)
            {
              path_q[q++]=box_q[4];
              path_p[p++]=box_p[4];
            }
          else
            {
              path_q[q++]=box_q[1];
              path_q[q++]=box_q[2];
              path_p[p++]=box_p[1];
              path_p[p++]=box_p[2];
            }
          break;
        }
        case RoundJoin:
        {
          dot_product=(box_q[4].x-box_p[4].x)*(box_q[4].x-box_p[4].x)+
            (box_q[4].y-box_p[4].y)*(box_q[4].y-box_p[4].y);
          if (dot_product <= miterlimit)
            path_q[q++]=box_q[4];
          else
            {
              path_q[q++]=box_q[1];
              path_q[q++]=box_q[2];
            }
          center=polygon_primitive[n].point;
          theta.p=atan2(box_p[1].y-center.y,box_p[1].x-center.x);
          theta.q=atan2(box_p[2].y-center.y,box_p[2].x-center.x);
          if (theta.p < theta.q)
            theta.p+=(MagickRealType) (2.0*MagickPI);
          arc_segments=(unsigned long)
            ceil((double) ((theta.p-theta.q)/(2.0*sqrt((double) (1.0/mid)))));
          path_p[p++]=box_p[1];
          for (j=1; j < arc_segments; j++)
          {
            delta_theta=(MagickRealType) (j*(theta.q-theta.p)/arc_segments);
            path_p[p].x=(double) (center.x+mid*cos(fmod((double)
              (theta.p+delta_theta),DegreesToRadians(360.0))));
            path_p[p].y=(double) (center.y+mid*sin(fmod((double)
              (theta.p+delta_theta),DegreesToRadians(360.0))));
            p++;
          }
          path_p[p++]=box_p[2];
          break;
        }
        default:
          break;
      }
    slope.p=slope.q;
    inverse_slope.p=inverse_slope.q;
    box_p[0]=box_p[2];
    box_p[1]=box_p[3];
    box_q[0]=box_q[2];
    box_q[1]=box_q[3];
    dx.p=dx.q;
    dy.p=dy.q;
    n=(unsigned long) i;
  }
  path_p[p++]=box_p[1];
  path_q[q++]=box_q[1];
  /*
    Trace stroked polygon.
  */
  stroke_polygon=(PrimitiveInfo *)
    AcquireMagickMemory((size_t) (p+q+2*closed_path+2)*sizeof(*stroke_polygon));
  if (stroke_polygon != (PrimitiveInfo *) NULL)
    {
      for (i=0; i < (long) p; i++)
      {
        stroke_polygon[i]=polygon_primitive[0];
        stroke_polygon[i].point=path_p[i];
      }
      if (closed_path != MagickFalse)
        {
          stroke_polygon[i]=polygon_primitive[0];
          stroke_polygon[i].point=stroke_polygon[0].point;
          i++;
        }
      for ( ; i < (long) (p+q+closed_path); i++)
      {
        stroke_polygon[i]=polygon_primitive[0];
        stroke_polygon[i].point=path_q[p+q+closed_path-(i+1)];
      }
      if (closed_path != MagickFalse)
        {
          stroke_polygon[i]=polygon_primitive[0];
          stroke_polygon[i].point=stroke_polygon[p+closed_path].point;
          i++;
        }
      stroke_polygon[i]=polygon_primitive[0];
      stroke_polygon[i].point=stroke_polygon[0].point;
      i++;
      stroke_polygon[i].primitive=UndefinedPrimitive;
      stroke_polygon[0].coordinates=p+q+2*closed_path+1;
    }
  path_p=(PointInfo *) RelinquishMagickMemory(path_p);
  path_q=(PointInfo *) RelinquishMagickMemory(path_q);
  polygon_primitive=(PrimitiveInfo *) RelinquishMagickMemory(polygon_primitive);
  return(stroke_polygon);
}
