]> granicus.if.org Git - imagemagick/commitdiff
https://github.com/ImageMagick/ImageMagick/issues/1236
authorCristy <urban-warrior@imagemagick.org>
Sat, 4 Aug 2018 15:21:11 +0000 (11:21 -0400)
committerCristy <urban-warrior@imagemagick.org>
Sat, 4 Aug 2018 15:21:11 +0000 (11:21 -0400)
MagickWand/magick-wand.c
coders/fx.c [new file with mode: 0644]

index 8f64581beb73be1976051997b4526f746f74fcda..33b17e142b1fbb46e84f36267ce725f6dde54705 100644 (file)
@@ -417,7 +417,7 @@ WandExport char *MagickQueryConfigureOption(const char *option)
   if (configure_info == (const ConfigureInfo **) NULL)
     return((char *) NULL);
   value=(char *) NULL;
-  if (number_options > 0)
+  if (number_options != 0)
     value=AcquireString(configure_info[0]->value);
   configure_info=(const ConfigureInfo **)
     RelinquishMagickMemory((void *) configure_info);
diff --git a/coders/fx.c b/coders/fx.c
new file mode 100644 (file)
index 0000000..199abb1
--- /dev/null
@@ -0,0 +1,6089 @@
+/*
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%                                 FFFFF  X   X                                %
+%                                 F       X X                                 %
+%                                 FFF      X                                  %
+%                                 F       X X                                 %
+%                                 F      X   X                                %
+%                                                                             %
+%                                                                             %
+%                   MagickCore Image Special Effects Methods                  %
+%                                                                             %
+%                               Software Design                               %
+%                                    Cristy                                   %
+%                                 October 1996                                %
+%                                                                             %
+%                                                                             %
+%  Copyright 1999-2018 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                                            %
+%                                                                             %
+%    https://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.                                             %
+%                                                                             %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+%
+%
+*/
+\f
+/*
+  Include declarations.
+*/
+#include "MagickCore/studio.h"
+#include "MagickCore/accelerate-private.h"
+#include "MagickCore/annotate.h"
+#include "MagickCore/artifact.h"
+#include "MagickCore/attribute.h"
+#include "MagickCore/cache.h"
+#include "MagickCore/cache-view.h"
+#include "MagickCore/channel.h"
+#include "MagickCore/color.h"
+#include "MagickCore/color-private.h"
+#include "MagickCore/colorspace-private.h"
+#include "MagickCore/composite.h"
+#include "MagickCore/decorate.h"
+#include "MagickCore/distort.h"
+#include "MagickCore/draw.h"
+#include "MagickCore/effect.h"
+#include "MagickCore/enhance.h"
+#include "MagickCore/exception.h"
+#include "MagickCore/exception-private.h"
+#include "MagickCore/fx.h"
+#include "MagickCore/fx-private.h"
+#include "MagickCore/gem.h"
+#include "MagickCore/gem-private.h"
+#include "MagickCore/geometry.h"
+#include "MagickCore/layer.h"
+#include "MagickCore/list.h"
+#include "MagickCore/log.h"
+#include "MagickCore/image.h"
+#include "MagickCore/image-private.h"
+#include "MagickCore/magick.h"
+#include "MagickCore/memory_.h"
+#include "MagickCore/memory-private.h"
+#include "MagickCore/monitor.h"
+#include "MagickCore/monitor-private.h"
+#include "MagickCore/option.h"
+#include "MagickCore/pixel.h"
+#include "MagickCore/pixel-accessor.h"
+#include "MagickCore/property.h"
+#include "MagickCore/quantum.h"
+#include "MagickCore/quantum-private.h"
+#include "MagickCore/random_.h"
+#include "MagickCore/random-private.h"
+#include "MagickCore/resample.h"
+#include "MagickCore/resample-private.h"
+#include "MagickCore/resize.h"
+#include "MagickCore/resource_.h"
+#include "MagickCore/splay-tree.h"
+#include "MagickCore/statistic.h"
+#include "MagickCore/string_.h"
+#include "MagickCore/string-private.h"
+#include "MagickCore/thread-private.h"
+#include "MagickCore/transform.h"
+#include "MagickCore/transform-private.h"
+#include "MagickCore/utility.h"
+\f
+/*
+  Define declarations.
+*/
+#define LeftShiftOperator  0xf5U
+#define RightShiftOperator  0xf6U
+#define LessThanEqualOperator  0xf7U
+#define GreaterThanEqualOperator  0xf8U
+#define EqualOperator  0xf9U
+#define NotEqualOperator  0xfaU
+#define LogicalAndOperator  0xfbU
+#define LogicalOrOperator  0xfcU
+#define ExponentialNotation  0xfdU
+
+struct _FxInfo
+{
+  const Image
+    *images;
+
+  char
+    *expression;
+
+  FILE
+    *file;
+
+  SplayTreeInfo
+    *colors,
+    *symbols;
+
+  CacheView
+    **view;
+
+  RandomInfo
+    *random_info;
+
+  ExceptionInfo
+    *exception;
+};
+\f
+/*
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                                                             %
+%                                                                             %
+%                                                                             %
++   A c q u i r e F x I n f o                                                 %
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+%  AcquireFxInfo() allocates the FxInfo structure.
+%
+%  The format of the AcquireFxInfo method is:
+%
+%      FxInfo *AcquireFxInfo(Image *images,const char *expression,
+%        ExceptionInfo *exception)
+%
+%  A description of each parameter follows:
+%
+%    o images: the image sequence.
+%
+%    o expression: the expression.
+%
+%    o exception: return any errors or warnings in this structure.
+%
+*/
+MagickPrivate FxInfo *AcquireFxInfo(const Image *images,const char *expression,
+  ExceptionInfo *exception)
+{
+  char
+    fx_op[2];
+
+  const Image
+    *next;
+
+  FxInfo
+    *fx_info;
+
+  register ssize_t
+    i;
+
+  fx_info=(FxInfo *) AcquireCriticalMemory(sizeof(*fx_info));
+  (void) memset(fx_info,0,sizeof(*fx_info));
+  fx_info->exception=AcquireExceptionInfo();
+  fx_info->images=images;
+  fx_info->colors=NewSplayTree(CompareSplayTreeString,RelinquishMagickMemory,
+    RelinquishMagickMemory);
+  fx_info->symbols=NewSplayTree(CompareSplayTreeString,RelinquishMagickMemory,
+    RelinquishMagickMemory);
+  fx_info->view=(CacheView **) AcquireQuantumMemory(GetImageListLength(
+    fx_info->images),sizeof(*fx_info->view));
+  if (fx_info->view == (CacheView **) NULL)
+    ThrowFatalException(ResourceLimitFatalError,"MemoryAllocationFailed");
+  i=0;
+  next=GetFirstImageInList(fx_info->images);
+  for ( ; next != (Image *) NULL; next=next->next)
+  {
+    fx_info->view[i]=AcquireVirtualCacheView(next,exception);
+    i++;
+  }
+  fx_info->random_info=AcquireRandomInfo();
+  fx_info->expression=ConstantString(expression);
+  fx_info->file=stderr;
+  (void) SubstituteString(&fx_info->expression," ","");  /* compact string */
+  /*
+    Force right-to-left associativity for unary negation.
+  */
+  (void) SubstituteString(&fx_info->expression,"-","-1.0*");
+  (void) SubstituteString(&fx_info->expression,"^-1.0*","^-");
+  (void) SubstituteString(&fx_info->expression,"E-1.0*","E-");
+  (void) SubstituteString(&fx_info->expression,"e-1.0*","e-");
+  /*
+    Convert compound to simple operators.
+  */
+  fx_op[1]='\0';
+  *fx_op=(char) LeftShiftOperator;
+  (void) SubstituteString(&fx_info->expression,"<<",fx_op);
+  *fx_op=(char) RightShiftOperator;
+  (void) SubstituteString(&fx_info->expression,">>",fx_op);
+  *fx_op=(char) LessThanEqualOperator;
+  (void) SubstituteString(&fx_info->expression,"<=",fx_op);
+  *fx_op=(char) GreaterThanEqualOperator;
+  (void) SubstituteString(&fx_info->expression,">=",fx_op);
+  *fx_op=(char) EqualOperator;
+  (void) SubstituteString(&fx_info->expression,"==",fx_op);
+  *fx_op=(char) NotEqualOperator;
+  (void) SubstituteString(&fx_info->expression,"!=",fx_op);
+  *fx_op=(char) LogicalAndOperator;
+  (void) SubstituteString(&fx_info->expression,"&&",fx_op);
+  *fx_op=(char) LogicalOrOperator;
+  (void) SubstituteString(&fx_info->expression,"||",fx_op);
+  *fx_op=(char) ExponentialNotation;
+  (void) SubstituteString(&fx_info->expression,"**",fx_op);
+  return(fx_info);
+}
+\f
+/*
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%     A d d N o i s e I m a g e                                               %
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+%  AddNoiseImage() adds random noise to the image.
+%
+%  The format of the AddNoiseImage method is:
+%
+%      Image *AddNoiseImage(const Image *image,const NoiseType noise_type,
+%        const double attenuate,ExceptionInfo *exception)
+%
+%  A description of each parameter follows:
+%
+%    o image: the image.
+%
+%    o channel: the channel type.
+%
+%    o noise_type:  The type of noise: Uniform, Gaussian, Multiplicative,
+%      Impulse, Laplacian, or Poisson.
+%
+%    o attenuate:  attenuate the random distribution.
+%
+%    o exception: return any errors or warnings in this structure.
+%
+*/
+MagickExport Image *AddNoiseImage(const Image *image,const NoiseType noise_type,
+  const double attenuate,ExceptionInfo *exception)
+{
+#define AddNoiseImageTag  "AddNoise/Image"
+
+  CacheView
+    *image_view,
+    *noise_view;
+
+  Image
+    *noise_image;
+
+  MagickBooleanType
+    status;
+
+  MagickOffsetType
+    progress;
+
+  RandomInfo
+    **magick_restrict random_info;
+
+  ssize_t
+    y;
+
+#if defined(MAGICKCORE_OPENMP_SUPPORT)
+  unsigned long
+    key;
+#endif
+
+  /*
+    Initialize noise image attributes.
+  */
+  assert(image != (const Image *) NULL);
+  assert(image->signature == MagickCoreSignature);
+  if (image->debug != MagickFalse)
+    (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
+  assert(exception != (ExceptionInfo *) NULL);
+  assert(exception->signature == MagickCoreSignature);
+#if defined(MAGICKCORE_OPENCL_SUPPORT)
+  noise_image=AccelerateAddNoiseImage(image,noise_type,attenuate,exception);
+  if (noise_image != (Image *) NULL)
+    return(noise_image);
+#endif
+  noise_image=CloneImage(image,0,0,MagickTrue,exception);
+  if (noise_image == (Image *) NULL)
+    return((Image *) NULL);
+  if (SetImageStorageClass(noise_image,DirectClass,exception) == MagickFalse)
+    {
+      noise_image=DestroyImage(noise_image);
+      return((Image *) NULL);
+    }
+  /*
+    Add noise in each row.
+  */
+  status=MagickTrue;
+  progress=0;
+  random_info=AcquireRandomInfoThreadSet();
+  image_view=AcquireVirtualCacheView(image,exception);
+  noise_view=AcquireAuthenticCacheView(noise_image,exception);
+#if defined(MAGICKCORE_OPENMP_SUPPORT)
+  key=GetRandomSecretKey(random_info[0]);
+  #pragma omp parallel for schedule(static) shared(progress,status) \
+    magick_number_threads(image,noise_image,image->rows,key == ~0UL)
+#endif
+  for (y=0; y < (ssize_t) image->rows; y++)
+  {
+    const int
+      id = GetOpenMPThreadId();
+
+    MagickBooleanType
+      sync;
+
+    register const Quantum
+      *magick_restrict p;
+
+    register ssize_t
+      x;
+
+    register Quantum
+      *magick_restrict q;
+
+    if (status == MagickFalse)
+      continue;
+    p=GetCacheViewVirtualPixels(image_view,0,y,image->columns,1,exception);
+    q=QueueCacheViewAuthenticPixels(noise_view,0,y,noise_image->columns,1,
+      exception);
+    if ((p == (const Quantum *) NULL) || (q == (Quantum *) NULL))
+      {
+        status=MagickFalse;
+        continue;
+      }
+    for (x=0; x < (ssize_t) image->columns; x++)
+    {
+      register ssize_t
+        i;
+
+      for (i=0; i < (ssize_t) GetPixelChannels(image); i++)
+      {
+        PixelChannel channel = GetPixelChannelChannel(image,i);
+        PixelTrait traits = GetPixelChannelTraits(image,channel);
+        PixelTrait noise_traits=GetPixelChannelTraits(noise_image,channel);
+        if ((traits == UndefinedPixelTrait) ||
+            (noise_traits == UndefinedPixelTrait))
+          continue;
+        if ((noise_traits & CopyPixelTrait) != 0)
+          {
+            SetPixelChannel(noise_image,channel,p[i],q);
+            continue;
+          }
+        SetPixelChannel(noise_image,channel,ClampToQuantum(
+          GenerateDifferentialNoise(random_info[id],p[i],noise_type,attenuate)),
+          q);
+      }
+      p+=GetPixelChannels(image);
+      q+=GetPixelChannels(noise_image);
+    }
+    sync=SyncCacheViewAuthenticPixels(noise_view,exception);
+    if (sync == MagickFalse)
+      status=MagickFalse;
+    if (image->progress_monitor != (MagickProgressMonitor) NULL)
+      {
+        MagickBooleanType
+          proceed;
+
+#if defined(MAGICKCORE_OPENMP_SUPPORT)
+        #pragma omp critical (MagickCore_AddNoiseImage)
+#endif
+        proceed=SetImageProgress(image,AddNoiseImageTag,progress++,
+          image->rows);
+        if (proceed == MagickFalse)
+          status=MagickFalse;
+      }
+  }
+  noise_view=DestroyCacheView(noise_view);
+  image_view=DestroyCacheView(image_view);
+  random_info=DestroyRandomInfoThreadSet(random_info);
+  if (status == MagickFalse)
+    noise_image=DestroyImage(noise_image);
+  return(noise_image);
+}
+\f
+/*
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%     B l u e S h i f t I m a g e                                             %
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+%  BlueShiftImage() mutes the colors of the image to simulate a scene at
+%  nighttime in the moonlight.
+%
+%  The format of the BlueShiftImage method is:
+%
+%      Image *BlueShiftImage(const Image *image,const double factor,
+%        ExceptionInfo *exception)
+%
+%  A description of each parameter follows:
+%
+%    o image: the image.
+%
+%    o factor: the shift factor.
+%
+%    o exception: return any errors or warnings in this structure.
+%
+*/
+MagickExport Image *BlueShiftImage(const Image *image,const double factor,
+  ExceptionInfo *exception)
+{
+#define BlueShiftImageTag  "BlueShift/Image"
+
+  CacheView
+    *image_view,
+    *shift_view;
+
+  Image
+    *shift_image;
+
+  MagickBooleanType
+    status;
+
+  MagickOffsetType
+    progress;
+
+  ssize_t
+    y;
+
+  /*
+    Allocate blue shift image.
+  */
+  assert(image != (const Image *) NULL);
+  assert(image->signature == MagickCoreSignature);
+  if (image->debug != MagickFalse)
+    (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
+  assert(exception != (ExceptionInfo *) NULL);
+  assert(exception->signature == MagickCoreSignature);
+  shift_image=CloneImage(image,0,0,MagickTrue,exception);
+  if (shift_image == (Image *) NULL)
+    return((Image *) NULL);
+  if (SetImageStorageClass(shift_image,DirectClass,exception) == MagickFalse)
+    {
+      shift_image=DestroyImage(shift_image);
+      return((Image *) NULL);
+    }
+  /*
+    Blue-shift DirectClass image.
+  */
+  status=MagickTrue;
+  progress=0;
+  image_view=AcquireVirtualCacheView(image,exception);
+  shift_view=AcquireAuthenticCacheView(shift_image,exception);
+#if defined(MAGICKCORE_OPENMP_SUPPORT)
+  #pragma omp parallel for schedule(static) shared(progress,status) \
+    magick_number_threads(image,shift_image,image->rows,1)
+#endif
+  for (y=0; y < (ssize_t) image->rows; y++)
+  {
+    MagickBooleanType
+      sync;
+
+    PixelInfo
+      pixel;
+
+    Quantum
+      quantum;
+
+    register const Quantum
+      *magick_restrict p;
+
+    register ssize_t
+      x;
+
+    register Quantum
+      *magick_restrict q;
+
+    if (status == MagickFalse)
+      continue;
+    p=GetCacheViewVirtualPixels(image_view,0,y,image->columns,1,exception);
+    q=QueueCacheViewAuthenticPixels(shift_view,0,y,shift_image->columns,1,
+      exception);
+    if ((p == (const Quantum *) NULL) || (q == (Quantum *) NULL))
+      {
+        status=MagickFalse;
+        continue;
+      }
+    for (x=0; x < (ssize_t) image->columns; x++)
+    {
+      quantum=GetPixelRed(image,p);
+      if (GetPixelGreen(image,p) < quantum)
+        quantum=GetPixelGreen(image,p);
+      if (GetPixelBlue(image,p) < quantum)
+        quantum=GetPixelBlue(image,p);
+      pixel.red=0.5*(GetPixelRed(image,p)+factor*quantum);
+      pixel.green=0.5*(GetPixelGreen(image,p)+factor*quantum);
+      pixel.blue=0.5*(GetPixelBlue(image,p)+factor*quantum);
+      quantum=GetPixelRed(image,p);
+      if (GetPixelGreen(image,p) > quantum)
+        quantum=GetPixelGreen(image,p);
+      if (GetPixelBlue(image,p) > quantum)
+        quantum=GetPixelBlue(image,p);
+      pixel.red=0.5*(pixel.red+factor*quantum);
+      pixel.green=0.5*(pixel.green+factor*quantum);
+      pixel.blue=0.5*(pixel.blue+factor*quantum);
+      SetPixelRed(shift_image,ClampToQuantum(pixel.red),q);
+      SetPixelGreen(shift_image,ClampToQuantum(pixel.green),q);
+      SetPixelBlue(shift_image,ClampToQuantum(pixel.blue),q);
+      p+=GetPixelChannels(image);
+      q+=GetPixelChannels(shift_image);
+    }
+    sync=SyncCacheViewAuthenticPixels(shift_view,exception);
+    if (sync == MagickFalse)
+      status=MagickFalse;
+    if (image->progress_monitor != (MagickProgressMonitor) NULL)
+      {
+        MagickBooleanType
+          proceed;
+
+#if defined(MAGICKCORE_OPENMP_SUPPORT)
+        #pragma omp critical (MagickCore_BlueShiftImage)
+#endif
+        proceed=SetImageProgress(image,BlueShiftImageTag,progress++,
+          image->rows);
+        if (proceed == MagickFalse)
+          status=MagickFalse;
+      }
+  }
+  image_view=DestroyCacheView(image_view);
+  shift_view=DestroyCacheView(shift_view);
+  if (status == MagickFalse)
+    shift_image=DestroyImage(shift_image);
+  return(shift_image);
+}
+\f
+/*
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%     C h a r c o a l I m a g e                                               %
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+%  CharcoalImage() creates a new image that is a copy of an existing one with
+%  the edge highlighted.  It allocates the memory necessary for the new Image
+%  structure and returns a pointer to the new image.
+%
+%  The format of the CharcoalImage method is:
+%
+%      Image *CharcoalImage(const Image *image,const double radius,
+%        const double sigma,ExceptionInfo *exception)
+%
+%  A description of each parameter follows:
+%
+%    o image: the image.
+%
+%    o radius: the radius of the pixel neighborhood.
+%
+%    o sigma: the standard deviation of the Gaussian, in pixels.
+%
+%    o exception: return any errors or warnings in this structure.
+%
+*/
+MagickExport Image *CharcoalImage(const Image *image,const double radius,
+  const double sigma,ExceptionInfo *exception)
+{
+  Image
+    *charcoal_image,
+    *clone_image,
+    *edge_image;
+
+  assert(image != (Image *) NULL);
+  assert(image->signature == MagickCoreSignature);
+  if (image->debug != MagickFalse)
+    (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
+  assert(exception != (ExceptionInfo *) NULL);
+  assert(exception->signature == MagickCoreSignature);
+  clone_image=CloneImage(image,0,0,MagickTrue,exception);
+  if (clone_image == (Image *) NULL)
+    return((Image *) NULL);
+  edge_image=EdgeImage(clone_image,radius,exception);
+  clone_image=DestroyImage(clone_image);
+  if (edge_image == (Image *) NULL)
+    return((Image *) NULL);
+  charcoal_image=BlurImage(edge_image,radius,sigma,exception);
+  edge_image=DestroyImage(edge_image);
+  if (charcoal_image == (Image *) NULL)
+    return((Image *) NULL);
+  (void) NormalizeImage(charcoal_image,exception);
+  (void) NegateImage(charcoal_image,MagickFalse,exception);
+  (void) GrayscaleImage(charcoal_image,image->intensity,exception);
+  return(charcoal_image);
+}
+\f
+/*
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%     C o l o r i z e I m a g e                                               %
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+%  ColorizeImage() blends the fill color with each pixel in the image.
+%  A percentage blend is specified with opacity.  Control the application
+%  of different color components by specifying a different percentage for
+%  each component (e.g. 90/100/10 is 90% red, 100% green, and 10% blue).
+%
+%  The format of the ColorizeImage method is:
+%
+%      Image *ColorizeImage(const Image *image,const char *blend,
+%        const PixelInfo *colorize,ExceptionInfo *exception)
+%
+%  A description of each parameter follows:
+%
+%    o image: the image.
+%
+%    o blend:  A character string indicating the level of blending as a
+%      percentage.
+%
+%    o colorize: A color value.
+%
+%    o exception: return any errors or warnings in this structure.
+%
+*/
+MagickExport Image *ColorizeImage(const Image *image,const char *blend,
+  const PixelInfo *colorize,ExceptionInfo *exception)
+{
+#define ColorizeImageTag  "Colorize/Image"
+#define Colorize(pixel,blend_percentage,colorize)  \
+  (((pixel)*(100.0-(blend_percentage))+(colorize)*(blend_percentage))/100.0)
+
+  CacheView
+    *image_view;
+
+  GeometryInfo
+    geometry_info;
+
+  Image
+    *colorize_image;
+
+  MagickBooleanType
+    status;
+
+  MagickOffsetType
+    progress;
+
+  MagickStatusType
+    flags;
+
+  PixelInfo
+    blend_percentage;
+
+  ssize_t
+    y;
+
+  /*
+    Allocate colorized image.
+  */
+  assert(image != (const Image *) NULL);
+  assert(image->signature == MagickCoreSignature);
+  if (image->debug != MagickFalse)
+    (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
+  assert(exception != (ExceptionInfo *) NULL);
+  assert(exception->signature == MagickCoreSignature);
+  colorize_image=CloneImage(image,0,0,MagickTrue,exception);
+  if (colorize_image == (Image *) NULL)
+    return((Image *) NULL);
+  if (SetImageStorageClass(colorize_image,DirectClass,exception) == MagickFalse)
+    {
+      colorize_image=DestroyImage(colorize_image);
+      return((Image *) NULL);
+    }
+  if ((IsGrayColorspace(colorize_image->colorspace) != MagickFalse) ||
+      (IsPixelInfoGray(colorize) != MagickFalse))
+    (void) SetImageColorspace(colorize_image,sRGBColorspace,exception);
+  if ((colorize_image->alpha_trait == UndefinedPixelTrait) &&
+      (colorize->alpha_trait != UndefinedPixelTrait))
+    (void) SetImageAlpha(colorize_image,OpaqueAlpha,exception);
+  if (blend == (const char *) NULL)
+    return(colorize_image);
+  GetPixelInfo(colorize_image,&blend_percentage);
+  flags=ParseGeometry(blend,&geometry_info);
+  blend_percentage.red=geometry_info.rho;
+  blend_percentage.green=geometry_info.rho;
+  blend_percentage.blue=geometry_info.rho;
+  blend_percentage.black=geometry_info.rho;
+  blend_percentage.alpha=(MagickRealType) TransparentAlpha;
+  if ((flags & SigmaValue) != 0)
+    blend_percentage.green=geometry_info.sigma;
+  if ((flags & XiValue) != 0)
+    blend_percentage.blue=geometry_info.xi;
+  if ((flags & PsiValue) != 0)
+    blend_percentage.alpha=geometry_info.psi;
+  if (blend_percentage.colorspace == CMYKColorspace)
+    {
+      if ((flags & PsiValue) != 0)
+        blend_percentage.black=geometry_info.psi;
+      if ((flags & ChiValue) != 0)
+        blend_percentage.alpha=geometry_info.chi;
+    }
+  /*
+    Colorize DirectClass image.
+  */
+  status=MagickTrue;
+  progress=0;
+  image_view=AcquireVirtualCacheView(colorize_image,exception);
+#if defined(MAGICKCORE_OPENMP_SUPPORT)
+  #pragma omp parallel for schedule(static) shared(progress,status) \
+    magick_number_threads(colorize_image,colorize_image,colorize_image->rows,1)
+#endif
+  for (y=0; y < (ssize_t) colorize_image->rows; y++)
+  {
+    MagickBooleanType
+      sync;
+
+    register Quantum
+      *magick_restrict q;
+
+    register ssize_t
+      x;
+
+    if (status == MagickFalse)
+      continue;
+    q=GetCacheViewAuthenticPixels(image_view,0,y,colorize_image->columns,1,
+      exception);
+    if (q == (Quantum *) NULL)
+      {
+        status=MagickFalse;
+        continue;
+      }
+    for (x=0; x < (ssize_t) colorize_image->columns; x++)
+    {
+      register ssize_t
+        i;
+
+      for (i=0; i < (ssize_t) GetPixelChannels(colorize_image); i++)
+      {
+        PixelTrait traits = GetPixelChannelTraits(colorize_image,
+          (PixelChannel) i);
+        if (traits == UndefinedPixelTrait)
+          continue;
+        if ((traits & CopyPixelTrait) != 0)
+          continue;
+        SetPixelChannel(colorize_image,(PixelChannel) i,ClampToQuantum(
+          Colorize(q[i],GetPixelInfoChannel(&blend_percentage,(PixelChannel) i),
+          GetPixelInfoChannel(colorize,(PixelChannel) i))),q);
+      }
+      q+=GetPixelChannels(colorize_image);
+    }
+    sync=SyncCacheViewAuthenticPixels(image_view,exception);
+    if (sync == MagickFalse)
+      status=MagickFalse;
+    if (image->progress_monitor != (MagickProgressMonitor) NULL)
+      {
+        MagickBooleanType
+          proceed;
+
+#if defined(MAGICKCORE_OPENMP_SUPPORT)
+        #pragma omp critical (MagickCore_ColorizeImage)
+#endif
+        proceed=SetImageProgress(image,ColorizeImageTag,progress++,
+          colorize_image->rows);
+        if (proceed == MagickFalse)
+          status=MagickFalse;
+      }
+  }
+  image_view=DestroyCacheView(image_view);
+  if (status == MagickFalse)
+    colorize_image=DestroyImage(colorize_image);
+  return(colorize_image);
+}
+\f
+/*
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%     C o l o r M a t r i x I m a g e                                         %
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+%  ColorMatrixImage() applies color transformation to an image. This method
+%  permits saturation changes, hue rotation, luminance to alpha, and various
+%  other effects.  Although variable-sized transformation matrices can be used,
+%  typically one uses a 5x5 matrix for an RGBA image and a 6x6 for CMYKA
+%  (or RGBA with offsets).  The matrix is similar to those used by Adobe Flash
+%  except offsets are in column 6 rather than 5 (in support of CMYKA images)
+%  and offsets are normalized (divide Flash offset by 255).
+%
+%  The format of the ColorMatrixImage method is:
+%
+%      Image *ColorMatrixImage(const Image *image,
+%        const KernelInfo *color_matrix,ExceptionInfo *exception)
+%
+%  A description of each parameter follows:
+%
+%    o image: the image.
+%
+%    o color_matrix:  the color matrix.
+%
+%    o exception: return any errors or warnings in this structure.
+%
+*/
+/* FUTURE: modify to make use of a MagickMatrix Mutliply function
+   That should be provided in "matrix.c"
+   (ASIDE: actually distorts should do this too but currently doesn't)
+*/
+
+MagickExport Image *ColorMatrixImage(const Image *image,
+  const KernelInfo *color_matrix,ExceptionInfo *exception)
+{
+#define ColorMatrixImageTag  "ColorMatrix/Image"
+
+  CacheView
+    *color_view,
+    *image_view;
+
+  double
+    ColorMatrix[6][6] =
+    {
+      { 1.0, 0.0, 0.0, 0.0, 0.0, 0.0 },
+      { 0.0, 1.0, 0.0, 0.0, 0.0, 0.0 },
+      { 0.0, 0.0, 1.0, 0.0, 0.0, 0.0 },
+      { 0.0, 0.0, 0.0, 1.0, 0.0, 0.0 },
+      { 0.0, 0.0, 0.0, 0.0, 1.0, 0.0 },
+      { 0.0, 0.0, 0.0, 0.0, 0.0, 1.0 }
+    };
+
+  Image
+    *color_image;
+
+  MagickBooleanType
+    status;
+
+  MagickOffsetType
+    progress;
+
+  register ssize_t
+    i;
+
+  ssize_t
+    u,
+    v,
+    y;
+
+  /*
+    Map given color_matrix, into a 6x6 matrix   RGBKA and a constant
+  */
+  assert(image != (Image *) NULL);
+  assert(image->signature == MagickCoreSignature);
+  if (image->debug != MagickFalse)
+    (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
+  assert(exception != (ExceptionInfo *) NULL);
+  assert(exception->signature == MagickCoreSignature);
+  i=0;
+  for (v=0; v < (ssize_t) color_matrix->height; v++)
+    for (u=0; u < (ssize_t) color_matrix->width; u++)
+    {
+      if ((v < 6) && (u < 6))
+        ColorMatrix[v][u]=color_matrix->values[i];
+      i++;
+    }
+  /*
+    Initialize color image.
+  */
+  color_image=CloneImage(image,0,0,MagickTrue,exception);
+  if (color_image == (Image *) NULL)
+    return((Image *) NULL);
+  if (SetImageStorageClass(color_image,DirectClass,exception) == MagickFalse)
+    {
+      color_image=DestroyImage(color_image);
+      return((Image *) NULL);
+    }
+  if (image->debug != MagickFalse)
+    {
+      char
+        format[MagickPathExtent],
+        *message;
+
+      (void) LogMagickEvent(TransformEvent,GetMagickModule(),
+        "  ColorMatrix image with color matrix:");
+      message=AcquireString("");
+      for (v=0; v < 6; v++)
+      {
+        *message='\0';
+        (void) FormatLocaleString(format,MagickPathExtent,"%.20g: ",(double) v);
+        (void) ConcatenateString(&message,format);
+        for (u=0; u < 6; u++)
+        {
+          (void) FormatLocaleString(format,MagickPathExtent,"%+f ",
+            ColorMatrix[v][u]);
+          (void) ConcatenateString(&message,format);
+        }
+        (void) LogMagickEvent(TransformEvent,GetMagickModule(),"%s",message);
+      }
+      message=DestroyString(message);
+    }
+  /*
+    Apply the ColorMatrix to image.
+  */
+  status=MagickTrue;
+  progress=0;
+  image_view=AcquireVirtualCacheView(image,exception);
+  color_view=AcquireAuthenticCacheView(color_image,exception);
+#if defined(MAGICKCORE_OPENMP_SUPPORT)
+  #pragma omp parallel for schedule(static) shared(progress,status) \
+    magick_number_threads(image,color_image,image->rows,1)
+#endif
+  for (y=0; y < (ssize_t) image->rows; y++)
+  {
+    PixelInfo
+      pixel;
+
+    register const Quantum
+      *magick_restrict p;
+
+    register Quantum
+      *magick_restrict q;
+
+    register ssize_t
+      x;
+
+    if (status == MagickFalse)
+      continue;
+    p=GetCacheViewVirtualPixels(image_view,0,y,image->columns,1,exception);
+    q=GetCacheViewAuthenticPixels(color_view,0,y,color_image->columns,1,
+      exception);
+    if ((p == (const Quantum *) NULL) || (q == (Quantum *) NULL))
+      {
+        status=MagickFalse;
+        continue;
+      }
+    GetPixelInfo(image,&pixel);
+    for (x=0; x < (ssize_t) image->columns; x++)
+    {
+      register ssize_t
+        v;
+
+      size_t
+        height;
+
+      GetPixelInfoPixel(image,p,&pixel);
+      height=color_matrix->height > 6 ? 6UL : color_matrix->height;
+      for (v=0; v < (ssize_t) height; v++)
+      {
+        double
+          sum;
+
+        sum=ColorMatrix[v][0]*GetPixelRed(image,p)+ColorMatrix[v][1]*
+          GetPixelGreen(image,p)+ColorMatrix[v][2]*GetPixelBlue(image,p);
+        if (image->colorspace == CMYKColorspace)
+          sum+=ColorMatrix[v][3]*GetPixelBlack(image,p);
+        if (image->alpha_trait != UndefinedPixelTrait)
+          sum+=ColorMatrix[v][4]*GetPixelAlpha(image,p);
+        sum+=QuantumRange*ColorMatrix[v][5];
+        switch (v)
+        {
+          case 0: pixel.red=sum; break;
+          case 1: pixel.green=sum; break;
+          case 2: pixel.blue=sum; break;
+          case 3: pixel.black=sum; break;
+          case 4: pixel.alpha=sum; break;
+          default: break;
+        }
+      }
+      SetPixelViaPixelInfo(color_image,&pixel,q);
+      p+=GetPixelChannels(image);
+      q+=GetPixelChannels(color_image);
+    }
+    if (SyncCacheViewAuthenticPixels(color_view,exception) == MagickFalse)
+      status=MagickFalse;
+    if (image->progress_monitor != (MagickProgressMonitor) NULL)
+      {
+        MagickBooleanType
+          proceed;
+
+#if defined(MAGICKCORE_OPENMP_SUPPORT)
+        #pragma omp critical (MagickCore_ColorMatrixImage)
+#endif
+        proceed=SetImageProgress(image,ColorMatrixImageTag,progress++,
+          image->rows);
+        if (proceed == MagickFalse)
+          status=MagickFalse;
+      }
+  }
+  color_view=DestroyCacheView(color_view);
+  image_view=DestroyCacheView(image_view);
+  if (status == MagickFalse)
+    color_image=DestroyImage(color_image);
+  return(color_image);
+}
+\f
+/*
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                                                             %
+%                                                                             %
+%                                                                             %
++   D e s t r o y F x I n f o                                                 %
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+%  DestroyFxInfo() deallocates memory associated with an FxInfo structure.
+%
+%  The format of the DestroyFxInfo method is:
+%
+%      ImageInfo *DestroyFxInfo(ImageInfo *fx_info)
+%
+%  A description of each parameter follows:
+%
+%    o fx_info: the fx info.
+%
+*/
+MagickPrivate FxInfo *DestroyFxInfo(FxInfo *fx_info)
+{
+  register ssize_t
+    i;
+
+  fx_info->exception=DestroyExceptionInfo(fx_info->exception);
+  fx_info->expression=DestroyString(fx_info->expression);
+  fx_info->symbols=DestroySplayTree(fx_info->symbols);
+  fx_info->colors=DestroySplayTree(fx_info->colors);
+  for (i=(ssize_t) GetImageListLength(fx_info->images)-1; i >= 0; i--)
+    fx_info->view[i]=DestroyCacheView(fx_info->view[i]);
+  fx_info->view=(CacheView **) RelinquishMagickMemory(fx_info->view);
+  fx_info->random_info=DestroyRandomInfo(fx_info->random_info);
+  fx_info=(FxInfo *) RelinquishMagickMemory(fx_info);
+  return(fx_info);
+}
+\f
+/*
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                                                             %
+%                                                                             %
+%                                                                             %
++     F x E v a l u a t e C h a n n e l E x p r e s s i o n                   %
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+%  FxEvaluateChannelExpression() evaluates an expression and returns the
+%  results.
+%
+%  The format of the FxEvaluateExpression method is:
+%
+%      double FxEvaluateChannelExpression(FxInfo *fx_info,
+%        const PixelChannel channel,const ssize_t x,const ssize_t y,
+%        double *alpha,Exceptioninfo *exception)
+%      double FxEvaluateExpression(FxInfo *fx_info,
+%        double *alpha,Exceptioninfo *exception)
+%
+%  A description of each parameter follows:
+%
+%    o fx_info: the fx info.
+%
+%    o channel: the channel.
+%
+%    o x,y: the pixel position.
+%
+%    o alpha: the result.
+%
+%    o exception: return any errors or warnings in this structure.
+%
+*/
+
+static double FxChannelStatistics(FxInfo *fx_info,Image *image,
+  PixelChannel channel,const char *symbol,ExceptionInfo *exception)
+{
+  ChannelType
+    channel_mask;
+
+  char
+    key[MagickPathExtent],
+    statistic[MagickPathExtent];
+
+  const char
+    *value;
+
+  register const char
+    *p;
+
+  channel_mask=UndefinedChannel;
+  for (p=symbol; (*p != '.') && (*p != '\0'); p++) ;
+  if (*p == '.')
+    {
+      ssize_t
+        option;
+
+      option=ParseCommandOption(MagickPixelChannelOptions,MagickTrue,p+1);
+      if (option >= 0)
+        {
+          channel=(PixelChannel) option;
+          channel_mask=SetPixelChannelMask(image,(ChannelType)
+            (1UL << channel));
+        }
+    }
+  (void) FormatLocaleString(key,MagickPathExtent,"%p.%.20g.%s",(void *) image,
+    (double) channel,symbol);
+  value=(const char *) GetValueFromSplayTree(fx_info->symbols,key);
+  if (value != (const char *) NULL)
+    {
+      if (channel_mask != UndefinedChannel)
+        (void) SetPixelChannelMask(image,channel_mask);
+      return(QuantumScale*StringToDouble(value,(char **) NULL));
+    }
+  (void) DeleteNodeFromSplayTree(fx_info->symbols,key);
+  if (LocaleNCompare(symbol,"depth",5) == 0)
+    {
+      size_t
+        depth;
+
+      depth=GetImageDepth(image,exception);
+      (void) FormatLocaleString(statistic,MagickPathExtent,"%.20g",(double)
+        depth);
+    }
+  if (LocaleNCompare(symbol,"kurtosis",8) == 0)
+    {
+      double
+        kurtosis,
+        skewness;
+
+      (void) GetImageKurtosis(image,&kurtosis,&skewness,exception);
+      (void) FormatLocaleString(statistic,MagickPathExtent,"%.20g",kurtosis);
+    }
+  if (LocaleNCompare(symbol,"maxima",6) == 0)
+    {
+      double
+        maxima,
+        minima;
+
+      (void) GetImageRange(image,&minima,&maxima,exception);
+      (void) FormatLocaleString(statistic,MagickPathExtent,"%.20g",maxima);
+    }
+  if (LocaleNCompare(symbol,"mean",4) == 0)
+    {
+      double
+        mean,
+        standard_deviation;
+
+      (void) GetImageMean(image,&mean,&standard_deviation,exception);
+      (void) FormatLocaleString(statistic,MagickPathExtent,"%.20g",mean);
+    }
+  if (LocaleNCompare(symbol,"minima",6) == 0)
+    {
+      double
+        maxima,
+        minima;
+
+      (void) GetImageRange(image,&minima,&maxima,exception);
+      (void) FormatLocaleString(statistic,MagickPathExtent,"%.20g",minima);
+    }
+  if (LocaleNCompare(symbol,"skewness",8) == 0)
+    {
+      double
+        kurtosis,
+        skewness;
+
+      (void) GetImageKurtosis(image,&kurtosis,&skewness,exception);
+      (void) FormatLocaleString(statistic,MagickPathExtent,"%.20g",skewness);
+    }
+  if (LocaleNCompare(symbol,"standard_deviation",18) == 0)
+    {
+      double
+        mean,
+        standard_deviation;
+
+      (void) GetImageMean(image,&mean,&standard_deviation,exception);
+      (void) FormatLocaleString(statistic,MagickPathExtent,"%.20g",
+        standard_deviation);
+    }
+  if (channel_mask != UndefinedChannel)
+    (void) SetPixelChannelMask(image,channel_mask);
+  (void) AddValueToSplayTree(fx_info->symbols,ConstantString(key),
+    ConstantString(statistic));
+  return(QuantumScale*StringToDouble(statistic,(char **) NULL));
+}
+
+static double
+  FxEvaluateSubexpression(FxInfo *,const PixelChannel,const ssize_t,
+    const ssize_t,const char *,const size_t,double *,ExceptionInfo *);
+
+static MagickOffsetType FxGCD(MagickOffsetType alpha,MagickOffsetType beta)
+{
+  if (beta != 0)
+    return(FxGCD(beta,alpha % beta));
+  return(alpha);
+}
+
+static inline const char *FxSubexpression(const char *expression,
+  ExceptionInfo *exception)
+{
+  const char
+    *subexpression;
+
+  register ssize_t
+    level;
+
+  level=0;
+  subexpression=expression;
+  while ((*subexpression != '\0') &&
+         ((level != 1) || (strchr(")",(int) *subexpression) == (char *) NULL)))
+  {
+    if (strchr("(",(int) *subexpression) != (char *) NULL)
+      level++;
+    else
+      if (strchr(")",(int) *subexpression) != (char *) NULL)
+        level--;
+    subexpression++;
+  }
+  if (*subexpression == '\0')
+    (void) ThrowMagickException(exception,GetMagickModule(),OptionError,
+      "UnbalancedParenthesis","`%s'",expression);
+  return(subexpression);
+}
+
+static double FxGetSymbol(FxInfo *fx_info,const PixelChannel channel,
+  const ssize_t x,const ssize_t y,const char *expression,const size_t depth,
+  ExceptionInfo *exception)
+{
+  char
+    *q,
+    symbol[MagickPathExtent];
+
+  const char
+    *p,
+    *value;
+
+  Image
+    *image;
+
+  MagickBooleanType
+    status;
+
+  PixelInfo
+    pixel;
+
+  double
+    alpha,
+    beta;
+
+  PointInfo
+    point;
+
+  register ssize_t
+    i;
+
+  size_t
+    level;
+
+  p=expression;
+  i=GetImageIndexInList(fx_info->images);
+  level=0;
+  point.x=(double) x;
+  point.y=(double) y;
+  if (isalpha((int) ((unsigned char) *(p+1))) == 0)
+    {
+      char
+        *subexpression;
+
+      subexpression=AcquireString(expression);
+      if (strchr("suv",(int) *p) != (char *) NULL)
+        {
+          switch (*p)
+          {
+            case 's':
+            default:
+            {
+              i=GetImageIndexInList(fx_info->images);
+              break;
+            }
+            case 'u': i=0; break;
+            case 'v': i=1; break;
+          }
+          p++;
+          if (*p == '[')
+            {
+              level++;
+              q=subexpression;
+              for (p++; *p != '\0'; )
+              {
+                if (*p == '[')
+                  level++;
+                else
+                  if (*p == ']')
+                    {
+                      level--;
+                      if (level == 0)
+                        break;
+                    }
+                *q++=(*p++);
+              }
+              *q='\0';
+              alpha=FxEvaluateSubexpression(fx_info,channel,x,y,subexpression,
+                depth,&beta,exception);
+              i=(ssize_t) alpha;
+              if (*p != '\0')
+                p++;
+            }
+          if (*p == '.')
+            p++;
+        }
+      if ((*p == 'p') && (isalpha((int) ((unsigned char) *(p+1))) == 0))
+        {
+          p++;
+          if (*p == '{')
+            {
+              level++;
+              q=subexpression;
+              for (p++; *p != '\0'; )
+              {
+                if (*p == '{')
+                  level++;
+                else
+                  if (*p == '}')
+                    {
+                      level--;
+                      if (level == 0)
+                        break;
+                    }
+                *q++=(*p++);
+              }
+              *q='\0';
+              alpha=FxEvaluateSubexpression(fx_info,channel,x,y,subexpression,
+                depth,&beta,exception);
+              point.x=alpha;
+              point.y=beta;
+              if (*p != '\0')
+                p++;
+            }
+          else
+            if (*p == '[')
+              {
+                level++;
+                q=subexpression;
+                for (p++; *p != '\0'; )
+                {
+                  if (*p == '[')
+                    level++;
+                  else
+                    if (*p == ']')
+                      {
+                        level--;
+                        if (level == 0)
+                          break;
+                      }
+                  *q++=(*p++);
+                }
+                *q='\0';
+                alpha=FxEvaluateSubexpression(fx_info,channel,x,y,subexpression,
+                  depth,&beta,exception);
+                point.x+=alpha;
+                point.y+=beta;
+                if (*p != '\0')
+                  p++;
+              }
+          if (*p == '.')
+            p++;
+        }
+      subexpression=DestroyString(subexpression);
+    }
+  image=GetImageFromList(fx_info->images,i);
+  if (image == (Image *) NULL)
+    {
+      (void) ThrowMagickException(exception,GetMagickModule(),OptionError,
+        "NoSuchImage","`%s'",expression);
+      return(0.0);
+    }
+  i=GetImageIndexInList(image);
+  GetPixelInfo(image,&pixel);
+  status=InterpolatePixelInfo(image,fx_info->view[i],image->interpolate,
+    point.x,point.y,&pixel,exception);
+  (void) status;
+  if ((strlen(p) > 2) && (LocaleCompare(p,"intensity") != 0) &&
+      (LocaleCompare(p,"luma") != 0) && (LocaleCompare(p,"luminance") != 0) &&
+      (LocaleCompare(p,"hue") != 0) && (LocaleCompare(p,"saturation") != 0) &&
+      (LocaleCompare(p,"lightness") != 0))
+    {
+      char
+        name[MagickPathExtent];
+
+      (void) CopyMagickString(name,p,MagickPathExtent);
+      for (q=name+(strlen(name)-1); q > name; q--)
+      {
+        if (*q == ')')
+          break;
+        if (*q == '.')
+          {
+            *q='\0';
+            break;
+          }
+      }
+      if ((strlen(name) > 2) &&
+          (GetValueFromSplayTree(fx_info->symbols,name) == (const char *) NULL))
+        {
+          PixelInfo
+            *color;
+
+          color=(PixelInfo *) GetValueFromSplayTree(fx_info->colors,name);
+          if (color != (PixelInfo *) NULL)
+            {
+              pixel=(*color);
+              p+=strlen(name);
+            }
+          else
+            {
+              MagickBooleanType
+                status;
+
+              status=QueryColorCompliance(name,AllCompliance,&pixel,
+                fx_info->exception);
+              if (status != MagickFalse)
+                {
+                  (void) AddValueToSplayTree(fx_info->colors,ConstantString(
+                    name),ClonePixelInfo(&pixel));
+                  p+=strlen(name);
+                }
+            }
+        }
+    }
+  (void) CopyMagickString(symbol,p,MagickPathExtent);
+  StripString(symbol);
+  if (*symbol == '\0')
+    {
+      switch (channel)
+      {
+        case RedPixelChannel: return(QuantumScale*pixel.red);
+        case GreenPixelChannel: return(QuantumScale*pixel.green);
+        case BluePixelChannel: return(QuantumScale*pixel.blue);
+        case BlackPixelChannel:
+        {
+          if (image->colorspace != CMYKColorspace)
+            {
+              (void) ThrowMagickException(exception,GetMagickModule(),
+                ImageError,"ColorSeparatedImageRequired","`%s'",
+                image->filename);
+              return(0.0);
+            }
+          return(QuantumScale*pixel.black);
+        }
+        case AlphaPixelChannel:
+        {
+          if (pixel.alpha_trait == UndefinedPixelTrait)
+            return(1.0);
+          alpha=(double) (QuantumScale*pixel.alpha);
+          return(alpha);
+        }
+        case IndexPixelChannel:
+          return(0.0);
+        case IntensityPixelChannel:
+        {
+          Quantum
+            quantum_pixel[MaxPixelChannels];
+
+          SetPixelViaPixelInfo(image,&pixel,quantum_pixel);
+          return(QuantumScale*GetPixelIntensity(image,quantum_pixel));
+        }
+        default:
+          break;
+      }
+      (void) ThrowMagickException(exception,GetMagickModule(),OptionError,
+        "UnableToParseExpression","`%s'",p);
+      return(0.0);
+    }
+  switch (*symbol)
+  {
+    case 'A':
+    case 'a':
+    {
+      if (LocaleCompare(symbol,"a") == 0)
+        return((QuantumScale*pixel.alpha));
+      break;
+    }
+    case 'B':
+    case 'b':
+    {
+      if (LocaleCompare(symbol,"b") == 0)
+        return(QuantumScale*pixel.blue);
+      break;
+    }
+    case 'C':
+    case 'c':
+    {
+      if (LocaleNCompare(symbol,"channel",7) == 0)
+        {
+          GeometryInfo
+            channel_info;
+
+          MagickStatusType
+            flags;
+
+          flags=ParseGeometry(symbol+7,&channel_info);
+          if (image->colorspace == CMYKColorspace)
+            switch (channel)
+            {
+              case CyanPixelChannel:
+              {
+                if ((flags & RhoValue) == 0)
+                  return(0.0);
+                return(channel_info.rho);
+              }
+              case MagentaPixelChannel:
+              {
+                if ((flags & SigmaValue) == 0)
+                  return(0.0);
+                return(channel_info.sigma);
+              }
+              case YellowPixelChannel:
+              {
+                if ((flags & XiValue) == 0)
+                  return(0.0);
+                return(channel_info.xi);
+              }
+              case BlackPixelChannel:
+              {
+                if ((flags & PsiValue) == 0)
+                  return(0.0);
+                return(channel_info.psi);
+              }
+              case AlphaPixelChannel:
+              {
+                if ((flags & ChiValue) == 0)
+                  return(0.0);
+                return(channel_info.chi);
+              }
+              default:
+                return(0.0);
+            }
+          switch (channel)
+          {
+            case RedPixelChannel:
+            {
+              if ((flags & RhoValue) == 0)
+                return(0.0);
+              return(channel_info.rho);
+            }
+            case GreenPixelChannel:
+            {
+              if ((flags & SigmaValue) == 0)
+                return(0.0);
+              return(channel_info.sigma);
+            }
+            case BluePixelChannel:
+            {
+              if ((flags & XiValue) == 0)
+                return(0.0);
+              return(channel_info.xi);
+            }
+            case BlackPixelChannel:
+            {
+              if ((flags & ChiValue) == 0)
+                return(0.0);
+              return(channel_info.chi);
+            }
+            case AlphaPixelChannel:
+            {
+              if ((flags & PsiValue) == 0)
+                return(0.0);
+              return(channel_info.psi);
+            }
+            default:
+              return(0.0);
+          }
+        }
+      if (LocaleCompare(symbol,"c") == 0)
+        return(QuantumScale*pixel.red);
+      break;
+    }
+    case 'D':
+    case 'd':
+    {
+      if (LocaleNCompare(symbol,"depth",5) == 0)
+        return(FxChannelStatistics(fx_info,image,channel,symbol,exception));
+      break;
+    }
+    case 'E':
+    case 'e':
+    {
+      if (LocaleCompare(symbol,"extent") == 0)
+        {
+          if (image->extent != 0)
+            return(image->extent);
+          return(GetBlobSize(image));
+        }
+      break;
+    }
+    case 'G':
+    case 'g':
+    {
+      if (LocaleCompare(symbol,"g") == 0)
+        return(QuantumScale*pixel.green);
+      break;
+    }
+    case 'K':
+    case 'k':
+    {
+      if (LocaleNCompare(symbol,"kurtosis",8) == 0)
+        return(FxChannelStatistics(fx_info,image,channel,symbol,exception));
+      if (LocaleCompare(symbol,"k") == 0)
+        {
+          if (image->colorspace != CMYKColorspace)
+            {
+              (void) ThrowMagickException(exception,GetMagickModule(),
+                OptionError,"ColorSeparatedImageRequired","`%s'",
+                image->filename);
+              return(0.0);
+            }
+          return(QuantumScale*pixel.black);
+        }
+      break;
+    }
+    case 'H':
+    case 'h':
+    {
+      if (LocaleCompare(symbol,"h") == 0)
+        return((double) image->rows);
+      if (LocaleCompare(symbol,"hue") == 0)
+        {
+          double
+            hue,
+            lightness,
+            saturation;
+
+          ConvertRGBToHSL(pixel.red,pixel.green,pixel.blue,&hue,&saturation,
+            &lightness);
+          return(hue);
+        }
+      break;
+    }
+    case 'I':
+    case 'i':
+    {
+      if ((LocaleCompare(symbol,"image.depth") == 0) ||
+          (LocaleCompare(symbol,"image.minima") == 0) ||
+          (LocaleCompare(symbol,"image.maxima") == 0) ||
+          (LocaleCompare(symbol,"image.mean") == 0) ||
+          (LocaleCompare(symbol,"image.kurtosis") == 0) ||
+          (LocaleCompare(symbol,"image.skewness") == 0) ||
+          (LocaleCompare(symbol,"image.standard_deviation") == 0))
+        return(FxChannelStatistics(fx_info,image,channel,symbol+6,exception));
+      if (LocaleCompare(symbol,"image.resolution.x") == 0)
+        return(image->resolution.x);
+      if (LocaleCompare(symbol,"image.resolution.y") == 0)
+        return(image->resolution.y);
+      if (LocaleCompare(symbol,"intensity") == 0)
+        {
+          Quantum
+            quantum_pixel[MaxPixelChannels];
+
+          SetPixelViaPixelInfo(image,&pixel,quantum_pixel);
+          return(QuantumScale*GetPixelIntensity(image,quantum_pixel));
+        }
+      if (LocaleCompare(symbol,"i") == 0)
+        return((double) x);
+      break;
+    }
+    case 'J':
+    case 'j':
+    {
+      if (LocaleCompare(symbol,"j") == 0)
+        return((double) y);
+      break;
+    }
+    case 'L':
+    case 'l':
+    {
+      if (LocaleCompare(symbol,"lightness") == 0)
+        {
+          double
+            hue,
+            lightness,
+            saturation;
+
+          ConvertRGBToHSL(pixel.red,pixel.green,pixel.blue,&hue,&saturation,
+            &lightness);
+          return(lightness);
+        }
+      if (LocaleCompare(symbol,"luma") == 0)
+        {
+          double
+            luma;
+
+          luma=0.212656*pixel.red+0.715158*pixel.green+0.072186*pixel.blue;
+          return(QuantumScale*luma);
+        }
+      if (LocaleCompare(symbol,"luminance") == 0)
+        {
+          double
+            luminence;
+
+          luminence=0.212656*pixel.red+0.715158*pixel.green+0.072186*pixel.blue;
+          return(QuantumScale*luminence);
+        }
+      break;
+    }
+    case 'M':
+    case 'm':
+    {
+      if (LocaleNCompare(symbol,"maxima",6) == 0)
+        return(FxChannelStatistics(fx_info,image,channel,symbol,exception));
+      if (LocaleNCompare(symbol,"mean",4) == 0)
+        return(FxChannelStatistics(fx_info,image,channel,symbol,exception));
+      if (LocaleNCompare(symbol,"minima",6) == 0)
+        return(FxChannelStatistics(fx_info,image,channel,symbol,exception));
+      if (LocaleCompare(symbol,"m") == 0)
+        return(QuantumScale*pixel.green);
+      break;
+    }
+    case 'N':
+    case 'n':
+    {
+      if (LocaleCompare(symbol,"n") == 0)
+        return((double) GetImageListLength(fx_info->images));
+      break;
+    }
+    case 'O':
+    case 'o':
+    {
+      if (LocaleCompare(symbol,"o") == 0)
+        return(QuantumScale*pixel.alpha);
+      break;
+    }
+    case 'P':
+    case 'p':
+    {
+      if (LocaleCompare(symbol,"page.height") == 0)
+        return((double) image->page.height);
+      if (LocaleCompare(symbol,"page.width") == 0)
+        return((double) image->page.width);
+      if (LocaleCompare(symbol,"page.x") == 0)
+        return((double) image->page.x);
+      if (LocaleCompare(symbol,"page.y") == 0)
+        return((double) image->page.y);
+      break;
+    }
+    case 'Q':
+    case 'q':
+    {
+      if (LocaleCompare(symbol,"quality") == 0)
+        return((double) image->quality);
+      break;
+    }
+    case 'R':
+    case 'r':
+    {
+      if (LocaleCompare(symbol,"resolution.x") == 0)
+        return(image->resolution.x);
+      if (LocaleCompare(symbol,"resolution.y") == 0)
+        return(image->resolution.y);
+      if (LocaleCompare(symbol,"r") == 0)
+        return(QuantumScale*pixel.red);
+      break;
+    }
+    case 'S':
+    case 's':
+    {
+      if (LocaleCompare(symbol,"saturation") == 0)
+        {
+          double
+            hue,
+            lightness,
+            saturation;
+
+          ConvertRGBToHSL(pixel.red,pixel.green,pixel.blue,&hue,&saturation,
+            &lightness);
+          return(saturation);
+        }
+      if (LocaleNCompare(symbol,"skewness",8) == 0)
+        return(FxChannelStatistics(fx_info,image,channel,symbol,exception));
+      if (LocaleNCompare(symbol,"standard_deviation",18) == 0)
+        return(FxChannelStatistics(fx_info,image,channel,symbol,exception));
+      break;
+    }
+    case 'T':
+    case 't':
+    {
+      if (LocaleCompare(symbol,"t") == 0)
+        return((double) GetImageIndexInList(fx_info->images));
+      break;
+    }
+    case 'W':
+    case 'w':
+    {
+      if (LocaleCompare(symbol,"w") == 0)
+        return((double) image->columns);
+      break;
+    }
+    case 'Y':
+    case 'y':
+    {
+      if (LocaleCompare(symbol,"y") == 0)
+        return(QuantumScale*pixel.blue);
+      break;
+    }
+    case 'Z':
+    case 'z':
+    {
+      if (LocaleCompare(symbol,"z") == 0)
+        return((double) GetImageDepth(image,fx_info->exception));
+      break;
+    }
+    default:
+      break;
+  }
+  value=(const char *) GetValueFromSplayTree(fx_info->symbols,symbol);
+  if (value != (const char *) NULL)
+    return(StringToDouble(value,(char **) NULL));
+  (void) ThrowMagickException(exception,GetMagickModule(),OptionError,
+    "UnableToParseExpression","`%s'",symbol);
+  return(0.0);
+}
+
+static const char *FxOperatorPrecedence(const char *expression,
+  ExceptionInfo *exception)
+{
+  typedef enum
+  {
+    UndefinedPrecedence,
+    NullPrecedence,
+    BitwiseComplementPrecedence,
+    ExponentPrecedence,
+    ExponentialNotationPrecedence,
+    MultiplyPrecedence,
+    AdditionPrecedence,
+    ShiftPrecedence,
+    RelationalPrecedence,
+    EquivalencyPrecedence,
+    BitwiseAndPrecedence,
+    BitwiseOrPrecedence,
+    LogicalAndPrecedence,
+    LogicalOrPrecedence,
+    TernaryPrecedence,
+    AssignmentPrecedence,
+    CommaPrecedence,
+    SeparatorPrecedence
+  } FxPrecedence;
+
+  FxPrecedence
+    precedence,
+    target;
+
+  register const char
+    *subexpression;
+
+  register int
+    c;
+
+  size_t
+    level;
+
+  c=(-1);
+  level=0;
+  subexpression=(const char *) NULL;
+  target=NullPrecedence;
+  while ((c != '\0') && (*expression != '\0'))
+  {
+    precedence=UndefinedPrecedence;
+    if ((isspace((int) ((unsigned char) *expression)) != 0) || (c == (int) '@'))
+      {
+        expression++;
+        continue;
+      }
+    switch (*expression)
+    {
+      case 'A':
+      case 'a':
+      {
+#if defined(MAGICKCORE_HAVE_ACOSH)
+        if (LocaleNCompare(expression,"acosh",5) == 0)
+          {
+            expression+=5;
+            break;
+          }
+#endif
+#if defined(MAGICKCORE_HAVE_ASINH)
+        if (LocaleNCompare(expression,"asinh",5) == 0)
+          {
+            expression+=5;
+            break;
+          }
+#endif
+#if defined(MAGICKCORE_HAVE_ATANH)
+        if (LocaleNCompare(expression,"atanh",5) == 0)
+          {
+            expression+=5;
+            break;
+          }
+#endif
+        if (LocaleNCompare(expression,"atan2",5) == 0)
+          {
+            expression+=5;
+            break;
+          }
+        break;
+      }
+      case 'E':
+      case 'e':
+      {
+        if ((isdigit(c) != 0) &&
+            ((LocaleNCompare(expression,"E+",2) == 0) ||
+             (LocaleNCompare(expression,"E-",2) == 0)))
+          {
+            expression+=2;  /* scientific notation */
+            break;
+          }
+      }
+      case 'J':
+      case 'j':
+      {
+        if ((LocaleNCompare(expression,"j0",2) == 0) ||
+            (LocaleNCompare(expression,"j1",2) == 0))
+          {
+            expression+=2;
+            break;
+          }
+        break;
+      }
+      case '#':
+      {
+        while (isxdigit((int) ((unsigned char) *(expression+1))) != 0)
+          expression++;
+        break;
+      }
+      default:
+        break;
+    }
+    if ((c == (int) '{') || (c == (int) '['))
+      level++;
+    else
+      if ((c == (int) '}') || (c == (int) ']'))
+        level--;
+    if (level == 0)
+      switch ((unsigned char) *expression)
+      {
+        case '~':
+        case '!':
+        {
+          precedence=BitwiseComplementPrecedence;
+          break;
+        }
+        case '^':
+        case '@':
+        {
+          precedence=ExponentPrecedence;
+          break;
+        }
+        default:
+        {
+          if (((c != 0) && ((isdigit(c) != 0) ||
+               (strchr(")",c) != (char *) NULL))) &&
+              (((islower((int) ((unsigned char) *expression)) != 0) ||
+               (strchr("(",(int) ((unsigned char) *expression)) != (char *) NULL)) ||
+               ((isdigit(c) == 0) &&
+                (isdigit((int) ((unsigned char) *expression)) != 0))) &&
+              (strchr("xy",(int) ((unsigned char) *expression)) == (char *) NULL))
+            precedence=MultiplyPrecedence;
+          break;
+        }
+        case '*':
+        case '/':
+        case '%':
+        {
+          precedence=MultiplyPrecedence;
+          break;
+        }
+        case '+':
+        case '-':
+        {
+          if ((strchr("(+-/*%:&^|<>~,",c) == (char *) NULL) ||
+              (isalpha(c) != 0))
+            precedence=AdditionPrecedence;
+          break;
+        }
+        case LeftShiftOperator:
+        case RightShiftOperator:
+        {
+          precedence=ShiftPrecedence;
+          break;
+        }
+        case '<':
+        case LessThanEqualOperator:
+        case GreaterThanEqualOperator:
+        case '>':
+        {
+          precedence=RelationalPrecedence;
+          break;
+        }
+        case EqualOperator:
+        case NotEqualOperator:
+        {
+          precedence=EquivalencyPrecedence;
+          break;
+        }
+        case '&':
+        {
+          precedence=BitwiseAndPrecedence;
+          break;
+        }
+        case '|':
+        {
+          precedence=BitwiseOrPrecedence;
+          break;
+        }
+        case LogicalAndOperator:
+        {
+          precedence=LogicalAndPrecedence;
+          break;
+        }
+        case LogicalOrOperator:
+        {
+          precedence=LogicalOrPrecedence;
+          break;
+        }
+        case ExponentialNotation:
+        {
+          precedence=ExponentialNotationPrecedence;
+          break;
+        }
+        case ':':
+        case '?':
+        {
+          precedence=TernaryPrecedence;
+          break;
+        }
+        case '=':
+        {
+          precedence=AssignmentPrecedence;
+          break;
+        }
+        case ',':
+        {
+          precedence=CommaPrecedence;
+          break;
+        }
+        case ';':
+        {
+          precedence=SeparatorPrecedence;
+          break;
+        }
+      }
+    if ((precedence == BitwiseComplementPrecedence) ||
+        (precedence == TernaryPrecedence) ||
+        (precedence == AssignmentPrecedence))
+      {
+        if (precedence > target)
+          {
+            /*
+              Right-to-left associativity.
+            */
+            target=precedence;
+            subexpression=expression;
+          }
+      }
+    else
+      if (precedence >= target)
+        {
+          /*
+            Left-to-right associativity.
+          */
+          target=precedence;
+          subexpression=expression;
+        }
+    if (strchr("(",(int) *expression) != (char *) NULL)
+      expression=FxSubexpression(expression,exception);
+    c=(int) (*expression++);
+  }
+  return(subexpression);
+}
+
+static double FxEvaluateSubexpression(FxInfo *fx_info,
+  const PixelChannel channel,const ssize_t x,const ssize_t y,
+  const char *expression,const size_t depth,double *beta,
+  ExceptionInfo *exception)
+{
+#define FxMaxParenthesisDepth  58
+#define FxMaxSubexpressionDepth  200
+#define FxReturn(value) \
+{ \
+  subexpression=DestroyString(subexpression); \
+  return(value); \
+}
+
+  char
+    *q,
+    *subexpression;
+
+  double
+    alpha,
+    gamma;
+
+  register const char
+    *p;
+
+  *beta=0.0;
+  subexpression=AcquireString(expression);
+  *subexpression='\0';
+  if (depth > FxMaxSubexpressionDepth)
+    {
+      (void) ThrowMagickException(exception,GetMagickModule(),OptionError,
+        "UnableToParseExpression","`%s'",expression);
+      FxReturn(0.0);
+    }
+  if (exception->severity >= ErrorException)
+    FxReturn(0.0);
+  while (isspace((int) ((unsigned char) *expression)) != 0)
+    expression++;
+  if (*expression == '\0')
+    FxReturn(0.0);
+  p=FxOperatorPrecedence(expression,exception);
+  if (p != (const char *) NULL)
+    {
+      (void) CopyMagickString(subexpression,expression,(size_t)
+        (p-expression+1));
+      alpha=FxEvaluateSubexpression(fx_info,channel,x,y,subexpression,depth+1,
+        beta,exception);
+      switch ((unsigned char) *p)
+      {
+        case '~':
+        {
+          *beta=FxEvaluateSubexpression(fx_info,channel,x,y,++p,depth+1,beta,
+            exception);
+          *beta=(double) (~(size_t) *beta);
+          FxReturn(*beta);
+        }
+        case '!':
+        {
+          *beta=FxEvaluateSubexpression(fx_info,channel,x,y,++p,depth+1,beta,
+            exception);
+          FxReturn(*beta == 0.0 ? 1.0 : 0.0);
+        }
+        case '^':
+        {
+          *beta=pow(alpha,FxEvaluateSubexpression(fx_info,channel,x,y,++p,
+            depth+1,beta,exception));
+          FxReturn(*beta);
+        }
+        case '*':
+        case ExponentialNotation:
+        {
+          *beta=FxEvaluateSubexpression(fx_info,channel,x,y,++p,depth+1,beta,
+            exception);
+          FxReturn(alpha*(*beta));
+        }
+        case '/':
+        {
+          *beta=FxEvaluateSubexpression(fx_info,channel,x,y,++p,depth+1,beta,
+            exception);
+          if (*beta == 0.0)
+            {
+              (void) ThrowMagickException(exception,GetMagickModule(),
+                OptionError,"DivideByZero","`%s'",expression);
+              FxReturn(0.0);
+            }
+          FxReturn(alpha/(*beta));
+        }
+        case '%':
+        {
+          *beta=FxEvaluateSubexpression(fx_info,channel,x,y,++p,depth+1,beta,
+            exception);
+          *beta=fabs(floor((*beta)+0.5));
+          if (*beta == 0.0)
+            {
+              (void) ThrowMagickException(exception,GetMagickModule(),
+                OptionError,"DivideByZero","`%s'",expression);
+              FxReturn(0.0);
+            }
+          FxReturn(fmod(alpha,*beta));
+        }
+        case '+':
+        {
+          *beta=FxEvaluateSubexpression(fx_info,channel,x,y,++p,depth+1,beta,
+            exception);
+          FxReturn(alpha+(*beta));
+        }
+        case '-':
+        {
+          *beta=FxEvaluateSubexpression(fx_info,channel,x,y,++p,depth+1,beta,
+            exception);
+          FxReturn(alpha-(*beta));
+        }
+        case LeftShiftOperator:
+        {
+          gamma=FxEvaluateSubexpression(fx_info,channel,x,y,++p,depth+1,beta,
+            exception);
+          if ((size_t) (gamma+0.5) >= (8*sizeof(size_t)))
+            {
+              (void) ThrowMagickException(exception,GetMagickModule(),
+                OptionError,"ShiftCountOverflow","`%s'",subexpression);
+              FxReturn(0.0);
+            }
+          *beta=(double) ((size_t) (alpha+0.5) << (size_t) (gamma+0.5));
+          FxReturn(*beta);
+        }
+        case RightShiftOperator:
+        {
+          gamma=FxEvaluateSubexpression(fx_info,channel,x,y,++p,depth+1,beta,
+            exception);
+          if ((size_t) (gamma+0.5) >= (8*sizeof(size_t)))
+            {
+              (void) ThrowMagickException(exception,GetMagickModule(),
+                OptionError,"ShiftCountOverflow","`%s'",subexpression);
+              FxReturn(0.0);
+            }
+          *beta=(double) ((size_t) (alpha+0.5) >> (size_t) (gamma+0.5));
+          FxReturn(*beta);
+        }
+        case '<':
+        {
+          *beta=FxEvaluateSubexpression(fx_info,channel,x,y,++p,depth+1,beta,
+            exception);
+          FxReturn(alpha < *beta ? 1.0 : 0.0);
+        }
+        case LessThanEqualOperator:
+        {
+          *beta=FxEvaluateSubexpression(fx_info,channel,x,y,++p,depth+1,beta,
+            exception);
+          FxReturn(alpha <= *beta ? 1.0 : 0.0);
+        }
+        case '>':
+        {
+          *beta=FxEvaluateSubexpression(fx_info,channel,x,y,++p,depth+1,beta,
+            exception);
+          FxReturn(alpha > *beta ? 1.0 : 0.0);
+        }
+        case GreaterThanEqualOperator:
+        {
+          *beta=FxEvaluateSubexpression(fx_info,channel,x,y,++p,depth+1,beta,
+            exception);
+          FxReturn(alpha >= *beta ? 1.0 : 0.0);
+        }
+        case EqualOperator:
+        {
+          *beta=FxEvaluateSubexpression(fx_info,channel,x,y,++p,depth+1,beta,
+            exception);
+          FxReturn(fabs(alpha-(*beta)) < MagickEpsilon ? 1.0 : 0.0);
+        }
+        case NotEqualOperator:
+        {
+          *beta=FxEvaluateSubexpression(fx_info,channel,x,y,++p,depth+1,beta,
+            exception);
+          FxReturn(fabs(alpha-(*beta)) >= MagickEpsilon ? 1.0 : 0.0);
+        }
+        case '&':
+        {
+          gamma=FxEvaluateSubexpression(fx_info,channel,x,y,++p,depth+1,beta,
+            exception);
+          *beta=(double) ((size_t) (alpha+0.5) & (size_t) (gamma+0.5));
+          FxReturn(*beta);
+        }
+        case '|':
+        {
+          gamma=FxEvaluateSubexpression(fx_info,channel,x,y,++p,depth+1,beta,
+            exception);
+          *beta=(double) ((size_t) (alpha+0.5) | (size_t) (gamma+0.5));
+          FxReturn(*beta);
+        }
+        case LogicalAndOperator:
+        {
+          p++;
+          if (alpha <= 0.0)
+            {
+              *beta=0.0;
+              FxReturn(*beta);
+            }
+          gamma=FxEvaluateSubexpression(fx_info,channel,x,y,p,depth+1,beta,
+            exception);
+          *beta=(gamma > 0.0) ? 1.0 : 0.0;
+          FxReturn(*beta);
+        }
+        case LogicalOrOperator:
+        {
+          p++;
+          if (alpha > 0.0)
+            {
+             *beta=1.0;
+             FxReturn(*beta);
+            }
+          gamma=FxEvaluateSubexpression(fx_info,channel,x,y,p,depth+1,beta,
+            exception);
+          *beta=(gamma > 0.0) ? 1.0 : 0.0;
+          FxReturn(*beta);
+        }
+        case '?':
+        {
+          (void) CopyMagickString(subexpression,++p,MagickPathExtent);
+          q=subexpression;
+          p=StringToken(":",&q);
+          if (q == (char *) NULL)
+            {
+              (void) ThrowMagickException(exception,GetMagickModule(),
+                OptionError,"UnableToParseExpression","`%s'",subexpression);
+              FxReturn(0.0);
+            }
+          if (fabs(alpha) >= MagickEpsilon)
+            gamma=FxEvaluateSubexpression(fx_info,channel,x,y,p,depth+1,beta,
+              exception);
+          else
+            gamma=FxEvaluateSubexpression(fx_info,channel,x,y,q,depth+1,beta,
+              exception);
+          FxReturn(gamma);
+        }
+        case '=':
+        {
+          char
+            numeric[MagickPathExtent];
+
+          q=subexpression;
+          while (isalpha((int) ((unsigned char) *q)) != 0)
+            q++;
+          if (*q != '\0')
+            {
+              (void) ThrowMagickException(exception,GetMagickModule(),
+                OptionError,"UnableToParseExpression","`%s'",subexpression);
+              FxReturn(0.0);
+            }
+          ClearMagickException(exception);
+          *beta=FxEvaluateSubexpression(fx_info,channel,x,y,++p,depth+1,beta,
+            exception);
+          (void) FormatLocaleString(numeric,MagickPathExtent,"%.20g",*beta);
+          (void) DeleteNodeFromSplayTree(fx_info->symbols,subexpression);
+          (void) AddValueToSplayTree(fx_info->symbols,ConstantString(
+            subexpression),ConstantString(numeric));
+          FxReturn(*beta);
+        }
+        case ',':
+        {
+          *beta=FxEvaluateSubexpression(fx_info,channel,x,y,++p,depth+1,beta,
+            exception);
+          FxReturn(alpha);
+        }
+        case ';':
+        {
+          *beta=FxEvaluateSubexpression(fx_info,channel,x,y,++p,depth+1,beta,
+            exception);
+          FxReturn(*beta);
+        }
+        default:
+        {
+          gamma=alpha*FxEvaluateSubexpression(fx_info,channel,x,y,++p,depth+1,
+            beta,exception);
+          FxReturn(gamma);
+        }
+      }
+    }
+  if (strchr("(",(int) *expression) != (char *) NULL)
+    {
+      if (depth >= FxMaxParenthesisDepth)
+        (void) ThrowMagickException(exception,GetMagickModule(),OptionError,
+          "ParenthesisNestedTooDeeply","`%s'",expression);
+      (void) CopyMagickString(subexpression,expression+1,MagickPathExtent);
+      if (strlen(subexpression) != 0)
+        subexpression[strlen(subexpression)-1]='\0';
+      gamma=FxEvaluateSubexpression(fx_info,channel,x,y,subexpression,depth+1,
+        beta,exception);
+      FxReturn(gamma);
+    }
+  switch (*expression)
+  {
+    case '+':
+    {
+      gamma=FxEvaluateSubexpression(fx_info,channel,x,y,expression+1,depth+1,
+        beta,exception);
+      FxReturn(1.0*gamma);
+    }
+    case '-':
+    {
+      gamma=FxEvaluateSubexpression(fx_info,channel,x,y,expression+1,depth+1,
+        beta,exception);
+      FxReturn(-1.0*gamma);
+    }
+    case '~':
+    {
+      gamma=FxEvaluateSubexpression(fx_info,channel,x,y,expression+1,depth+1,
+        beta,exception);
+      FxReturn((double) (~(size_t) (gamma+0.5)));
+    }
+    case 'A':
+    case 'a':
+    {
+      if (LocaleNCompare(expression,"abs",3) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+3,
+            depth+1,beta,exception);
+          FxReturn(fabs(alpha));
+        }
+#if defined(MAGICKCORE_HAVE_ACOSH)
+      if (LocaleNCompare(expression,"acosh",5) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+5,
+            depth+1,beta,exception);
+          FxReturn(acosh(alpha));
+        }
+#endif
+      if (LocaleNCompare(expression,"acos",4) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+4,
+            depth+1,beta,exception);
+          FxReturn(acos(alpha));
+        }
+#if defined(MAGICKCORE_HAVE_J1)
+      if (LocaleNCompare(expression,"airy",4) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+4,
+            depth+1,beta,exception);
+          if (alpha == 0.0)
+            FxReturn(1.0);
+          gamma=2.0*j1((MagickPI*alpha))/(MagickPI*alpha);
+          FxReturn(gamma*gamma);
+        }
+#endif
+#if defined(MAGICKCORE_HAVE_ASINH)
+      if (LocaleNCompare(expression,"asinh",5) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+5,
+            depth+1,beta,exception);
+          FxReturn(asinh(alpha));
+        }
+#endif
+      if (LocaleNCompare(expression,"asin",4) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+4,
+            depth+1,beta,exception);
+          FxReturn(asin(alpha));
+        }
+      if (LocaleNCompare(expression,"alt",3) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+3,
+            depth+1,beta,exception);
+          FxReturn(((ssize_t) alpha) & 0x01 ? -1.0 : 1.0);
+        }
+      if (LocaleNCompare(expression,"atan2",5) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+5,
+            depth+1,beta,exception);
+          FxReturn(atan2(alpha,*beta));
+        }
+#if defined(MAGICKCORE_HAVE_ATANH)
+      if (LocaleNCompare(expression,"atanh",5) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+5,
+            depth+1,beta,exception);
+          FxReturn(atanh(alpha));
+        }
+#endif
+      if (LocaleNCompare(expression,"atan",4) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+4,
+            depth+1,beta,exception);
+          FxReturn(atan(alpha));
+        }
+      if (LocaleCompare(expression,"a") == 0)
+        FxReturn(FxGetSymbol(fx_info,channel,x,y,expression,depth+1,exception));
+      break;
+    }
+    case 'B':
+    case 'b':
+    {
+      if (LocaleCompare(expression,"b") == 0)
+        FxReturn(FxGetSymbol(fx_info,channel,x,y,expression,depth+1,exception));
+      break;
+    }
+    case 'C':
+    case 'c':
+    {
+      if (LocaleNCompare(expression,"ceil",4) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+4,
+            depth+1,beta,exception);
+          FxReturn(ceil(alpha));
+        }
+      if (LocaleNCompare(expression,"clamp",5) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+5,
+            depth+1,beta,exception);
+          if (alpha < 0.0)
+            FxReturn(0.0);
+          if (alpha > 1.0)
+            FxReturn(1.0);
+          FxReturn(alpha);
+        }
+      if (LocaleNCompare(expression,"cosh",4) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+4,
+            depth+1,beta,exception);
+          FxReturn(cosh(alpha));
+        }
+      if (LocaleNCompare(expression,"cos",3) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+3,
+            depth+1,beta,exception);
+          FxReturn(cos(alpha));
+        }
+      if (LocaleCompare(expression,"c") == 0)
+        FxReturn(FxGetSymbol(fx_info,channel,x,y,expression,depth+1,exception));
+      break;
+    }
+    case 'D':
+    case 'd':
+    {
+      if (LocaleNCompare(expression,"debug",5) == 0)
+        {
+          const char
+            *type;
+
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+5,
+            depth+1,beta,exception);
+          if (fx_info->images->colorspace == CMYKColorspace)
+            switch (channel)
+            {
+              case CyanPixelChannel: type="cyan"; break;
+              case MagentaPixelChannel: type="magenta"; break;
+              case YellowPixelChannel: type="yellow"; break;
+              case AlphaPixelChannel: type="opacity"; break;
+              case BlackPixelChannel: type="black"; break;
+              default: type="unknown"; break;
+            }
+          else
+            switch (channel)
+            {
+              case RedPixelChannel: type="red"; break;
+              case GreenPixelChannel: type="green"; break;
+              case BluePixelChannel: type="blue"; break;
+              case AlphaPixelChannel: type="opacity"; break;
+              default: type="unknown"; break;
+            }
+          *subexpression='\0';
+          if (strlen(expression) > 6)
+            (void) CopyMagickString(subexpression,expression+6,
+              MagickPathExtent);
+          if (strlen(subexpression) > 1)
+            subexpression[strlen(subexpression)-1]='\0';
+          if (fx_info->file != (FILE *) NULL)
+            (void) FormatLocaleFile(fx_info->file,"%s[%.20g,%.20g].%s: "
+              "%s=%.*g\n",fx_info->images->filename,(double) x,(double) y,type,
+              subexpression,GetMagickPrecision(),alpha);
+          FxReturn(0.0);
+        }
+      if (LocaleNCompare(expression,"drc",3) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+3,
+            depth+1,beta,exception);
+          FxReturn((alpha/(*beta*(alpha-1.0)+1.0)));
+        }
+      break;
+    }
+    case 'E':
+    case 'e':
+    {
+      if (LocaleCompare(expression,"epsilon") == 0)
+        FxReturn(MagickEpsilon);
+#if defined(MAGICKCORE_HAVE_ERF)
+      if (LocaleNCompare(expression,"erf",3) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+3,
+            depth+1,beta,exception);
+          FxReturn(erf(alpha));
+        }
+#endif
+      if (LocaleNCompare(expression,"exp",3) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+3,
+            depth+1,beta,exception);
+          FxReturn(exp(alpha));
+        }
+      if (LocaleCompare(expression,"e") == 0)
+        FxReturn(2.7182818284590452354);
+      break;
+    }
+    case 'F':
+    case 'f':
+    {
+      if (LocaleNCompare(expression,"floor",5) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+5,
+            depth+1,beta,exception);
+          FxReturn(floor(alpha));
+        }
+      break;
+    }
+    case 'G':
+    case 'g':
+    {
+      if (LocaleNCompare(expression,"gauss",5) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+5,
+            depth+1,beta,exception);
+          gamma=exp((-alpha*alpha/2.0))/sqrt(2.0*MagickPI);
+          FxReturn(gamma);
+        }
+      if (LocaleNCompare(expression,"gcd",3) == 0)
+        {
+          MagickOffsetType
+            gcd;
+
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+3,
+            depth+1,beta,exception);
+          gcd=FxGCD((MagickOffsetType) (alpha+0.5),(MagickOffsetType) (*beta+
+            0.5));
+          FxReturn((double) gcd);
+        }
+      if (LocaleCompare(expression,"g") == 0)
+        FxReturn(FxGetSymbol(fx_info,channel,x,y,expression,depth+1,exception));
+      break;
+    }
+    case 'H':
+    case 'h':
+    {
+      if (LocaleCompare(expression,"h") == 0)
+        FxReturn(FxGetSymbol(fx_info,channel,x,y,expression,depth+1,exception));
+      if (LocaleCompare(expression,"hue") == 0)
+        FxReturn(FxGetSymbol(fx_info,channel,x,y,expression,depth+1,exception));
+      if (LocaleNCompare(expression,"hypot",5) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+5,
+            depth+1,beta,exception);
+          FxReturn(hypot(alpha,*beta));
+        }
+      break;
+    }
+    case 'K':
+    case 'k':
+    {
+      if (LocaleCompare(expression,"k") == 0)
+        FxReturn(FxGetSymbol(fx_info,channel,x,y,expression,depth+1,exception));
+      break;
+    }
+    case 'I':
+    case 'i':
+    {
+      if (LocaleCompare(expression,"intensity") == 0)
+        FxReturn(FxGetSymbol(fx_info,channel,x,y,expression,depth+1,exception));
+      if (LocaleNCompare(expression,"int",3) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+3,
+            depth+1,beta,exception);
+          FxReturn(floor(alpha));
+        }
+      if (LocaleNCompare(expression,"isnan",5) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+5,
+            depth+1,beta,exception);
+          FxReturn((double) !!IsNaN(alpha));
+        }
+      if (LocaleCompare(expression,"i") == 0)
+        FxReturn(FxGetSymbol(fx_info,channel,x,y,expression,depth+1,exception));
+      break;
+    }
+    case 'J':
+    case 'j':
+    {
+      if (LocaleCompare(expression,"j") == 0)
+        FxReturn(FxGetSymbol(fx_info,channel,x,y,expression,depth+1,exception));
+#if defined(MAGICKCORE_HAVE_J0)
+      if (LocaleNCompare(expression,"j0",2) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+2,
+            depth+1,beta,exception);
+          FxReturn(j0(alpha));
+        }
+#endif
+#if defined(MAGICKCORE_HAVE_J1)
+      if (LocaleNCompare(expression,"j1",2) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+2,
+            depth+1,beta,exception);
+          FxReturn(j1(alpha));
+        }
+#endif
+#if defined(MAGICKCORE_HAVE_J1)
+      if (LocaleNCompare(expression,"jinc",4) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+4,
+            depth+1,beta,exception);
+          if (alpha == 0.0)
+            FxReturn(1.0);
+          gamma=(2.0*j1((MagickPI*alpha))/(MagickPI*alpha));
+          FxReturn(gamma);
+        }
+#endif
+      break;
+    }
+    case 'L':
+    case 'l':
+    {
+      if (LocaleNCompare(expression,"ln",2) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+2,
+            depth+1,beta,exception);
+          FxReturn(log(alpha));
+        }
+      if (LocaleNCompare(expression,"logtwo",6) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+6,
+            depth+1,beta,exception);
+          FxReturn(log10(alpha)/log10(2.0));
+        }
+      if (LocaleNCompare(expression,"log",3) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+3,
+            depth+1,beta,exception);
+          FxReturn(log10(alpha));
+        }
+      if (LocaleCompare(expression,"lightness") == 0)
+        FxReturn(FxGetSymbol(fx_info,channel,x,y,expression,depth+1,exception));
+      break;
+    }
+    case 'M':
+    case 'm':
+    {
+      if (LocaleCompare(expression,"MaxRGB") == 0)
+        FxReturn(QuantumRange);
+      if (LocaleNCompare(expression,"maxima",6) == 0)
+        break;
+      if (LocaleNCompare(expression,"max",3) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+3,
+            depth+1,beta,exception);
+          FxReturn(alpha > *beta ? alpha : *beta);
+        }
+      if (LocaleNCompare(expression,"minima",6) == 0)
+        break;
+      if (LocaleNCompare(expression,"min",3) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+3,
+            depth+1,beta,exception);
+          FxReturn(alpha < *beta ? alpha : *beta);
+        }
+      if (LocaleNCompare(expression,"mod",3) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+3,
+            depth+1,beta,exception);
+          gamma=alpha-floor((alpha*PerceptibleReciprocal(*beta)))*(*beta);
+          FxReturn(gamma);
+        }
+      if (LocaleCompare(expression,"m") == 0)
+        FxReturn(FxGetSymbol(fx_info,channel,x,y,expression,depth+1,exception));
+      break;
+    }
+    case 'N':
+    case 'n':
+    {
+      if (LocaleNCompare(expression,"not",3) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+3,
+            depth+1,beta,exception);
+          FxReturn((double) (alpha < MagickEpsilon));
+        }
+      if (LocaleCompare(expression,"n") == 0)
+        FxReturn(FxGetSymbol(fx_info,channel,x,y,expression,depth+1,exception));
+      break;
+    }
+    case 'O':
+    case 'o':
+    {
+      if (LocaleCompare(expression,"Opaque") == 0)
+        FxReturn(1.0);
+      if (LocaleCompare(expression,"o") == 0)
+        FxReturn(FxGetSymbol(fx_info,channel,x,y,expression,depth+1,exception));
+      break;
+    }
+    case 'P':
+    case 'p':
+    {
+      if (LocaleCompare(expression,"phi") == 0)
+        FxReturn(MagickPHI);
+      if (LocaleCompare(expression,"pi") == 0)
+        FxReturn(MagickPI);
+      if (LocaleNCompare(expression,"pow",3) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+3,
+            depth+1,beta,exception);
+          FxReturn(pow(alpha,*beta));
+        }
+      if (LocaleCompare(expression,"p") == 0)
+        FxReturn(FxGetSymbol(fx_info,channel,x,y,expression,depth+1,exception));
+      break;
+    }
+    case 'Q':
+    case 'q':
+    {
+      if (LocaleCompare(expression,"QuantumRange") == 0)
+        FxReturn(QuantumRange);
+      if (LocaleCompare(expression,"QuantumScale") == 0)
+        FxReturn(QuantumScale);
+      break;
+    }
+    case 'R':
+    case 'r':
+    {
+      if (LocaleNCompare(expression,"rand",4) == 0)
+        {
+#if defined(MAGICKCORE_OPENMP_SUPPORT)
+        #pragma omp critical (MagickCore_FxEvaluateSubexpression)
+#endif
+          alpha=GetPseudoRandomValue(fx_info->random_info);
+          FxReturn(alpha);
+        }
+      if (LocaleNCompare(expression,"round",5) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+5,
+            depth+1,beta,exception);
+          FxReturn(floor(alpha+0.5));
+        }
+      if (LocaleCompare(expression,"r") == 0)
+        FxReturn(FxGetSymbol(fx_info,channel,x,y,expression,depth+1,exception));
+      break;
+    }
+    case 'S':
+    case 's':
+    {
+      if (LocaleCompare(expression,"saturation") == 0)
+        FxReturn(FxGetSymbol(fx_info,channel,x,y,expression,depth+1,exception));
+      if (LocaleNCompare(expression,"sign",4) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+4,
+            depth+1,beta,exception);
+          FxReturn(alpha < 0.0 ? -1.0 : 1.0);
+        }
+      if (LocaleNCompare(expression,"sinc",4) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+4,
+            depth+1,beta,exception);
+          if (alpha == 0)
+            FxReturn(1.0);
+          gamma=sin((MagickPI*alpha))/(MagickPI*alpha);
+          FxReturn(gamma);
+        }
+      if (LocaleNCompare(expression,"sinh",4) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+4,
+            depth+1,beta,exception);
+          FxReturn(sinh(alpha));
+        }
+      if (LocaleNCompare(expression,"sin",3) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+3,
+            depth+1,beta,exception);
+          FxReturn(sin(alpha));
+        }
+      if (LocaleNCompare(expression,"sqrt",4) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+4,
+            depth+1,beta,exception);
+          FxReturn(sqrt(alpha));
+        }
+      if (LocaleNCompare(expression,"squish",6) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+6,
+            depth+1,beta,exception);
+          FxReturn((1.0/(1.0+exp(-alpha))));
+        }
+      if (LocaleCompare(expression,"s") == 0)
+        FxReturn(FxGetSymbol(fx_info,channel,x,y,expression,depth+1,exception));
+      break;
+    }
+    case 'T':
+    case 't':
+    {
+      if (LocaleNCompare(expression,"tanh",4) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+4,
+            depth+1,beta,exception);
+          FxReturn(tanh(alpha));
+        }
+      if (LocaleNCompare(expression,"tan",3) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+3,
+            depth+1,beta,exception);
+          FxReturn(tan(alpha));
+        }
+      if (LocaleCompare(expression,"Transparent") == 0)
+        FxReturn(0.0);
+      if (LocaleNCompare(expression,"trunc",5) == 0)
+        {
+          alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+5,
+            depth+1,beta,exception);
+          if (alpha >= 0.0)
+            FxReturn(floor(alpha));
+          FxReturn(ceil(alpha));
+        }
+      if (LocaleCompare(expression,"t") == 0)
+        FxReturn(FxGetSymbol(fx_info,channel,x,y,expression,depth+1,exception));
+      break;
+    }
+    case 'U':
+    case 'u':
+    {
+      if (LocaleCompare(expression,"u") == 0)
+        FxReturn(FxGetSymbol(fx_info,channel,x,y,expression,depth+1,exception));
+      break;
+    }
+    case 'V':
+    case 'v':
+    {
+      if (LocaleCompare(expression,"v") == 0)
+        FxReturn(FxGetSymbol(fx_info,channel,x,y,expression,depth+1,exception));
+      break;
+    }
+    case 'W':
+    case 'w':
+    {
+      if (LocaleNCompare(expression,"while",5) == 0)
+        {
+          do
+          {
+            alpha=FxEvaluateSubexpression(fx_info,channel,x,y,expression+5,
+              depth+1,beta,exception);
+          } while (fabs(alpha) >= MagickEpsilon);
+          FxReturn(*beta);
+        }
+      if (LocaleCompare(expression,"w") == 0)
+        FxReturn(FxGetSymbol(fx_info,channel,x,y,expression,depth+1,exception));
+      break;
+    }
+    case 'Y':
+    case 'y':
+    {
+      if (LocaleCompare(expression,"y") == 0)
+        FxReturn(FxGetSymbol(fx_info,channel,x,y,expression,depth+1,exception));
+      break;
+    }
+    case 'Z':
+    case 'z':
+    {
+      if (LocaleCompare(expression,"z") == 0)
+        FxReturn(FxGetSymbol(fx_info,channel,x,y,expression,depth+1,exception));
+      break;
+    }
+    default:
+      break;
+  }
+  subexpression=DestroyString(subexpression);
+  q=(char *) expression;
+  alpha=InterpretSiPrefixValue(expression,&q);
+  if (q == expression)
+    FxReturn(FxGetSymbol(fx_info,channel,x,y,expression,depth+1,exception));
+  FxReturn(alpha);
+}
+
+MagickPrivate MagickBooleanType FxEvaluateExpression(FxInfo *fx_info,
+  double *alpha,ExceptionInfo *exception)
+{
+  MagickBooleanType
+    status;
+
+  status=FxEvaluateChannelExpression(fx_info,GrayPixelChannel,0,0,alpha,
+    exception);
+  return(status);
+}
+
+MagickExport MagickBooleanType FxPreprocessExpression(FxInfo *fx_info,
+  double *alpha,ExceptionInfo *exception)
+{
+  FILE
+    *file;
+
+  MagickBooleanType
+    status;
+
+  file=fx_info->file;
+  fx_info->file=(FILE *) NULL;
+  status=FxEvaluateChannelExpression(fx_info,GrayPixelChannel,0,0,alpha,
+    exception);
+  fx_info->file=file;
+  return(status);
+}
+
+MagickPrivate MagickBooleanType FxEvaluateChannelExpression(FxInfo *fx_info,
+  const PixelChannel channel,const ssize_t x,const ssize_t y,
+  double *alpha,ExceptionInfo *exception)
+{
+  double
+    beta;
+
+  beta=0.0;
+  *alpha=FxEvaluateSubexpression(fx_info,channel,x,y,fx_info->expression,0,
+    &beta,exception);
+  return(exception->severity == OptionError ? MagickFalse : MagickTrue);
+}
+\f
+/*
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%     F x I m a g e                                                           %
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+%  FxImage() applies a mathematical expression to the specified image.
+%
+%  The format of the FxImage method is:
+%
+%      Image *FxImage(const Image *image,const char *expression,
+%        ExceptionInfo *exception)
+%
+%  A description of each parameter follows:
+%
+%    o image: the image.
+%
+%    o expression: A mathematical expression.
+%
+%    o exception: return any errors or warnings in this structure.
+%
+*/
+
+static FxInfo **DestroyFxThreadSet(FxInfo **fx_info)
+{
+  register ssize_t
+    i;
+
+  assert(fx_info != (FxInfo **) NULL);
+  for (i=0; i < (ssize_t) GetMagickResourceLimit(ThreadResource); i++)
+    if (fx_info[i] != (FxInfo *) NULL)
+      fx_info[i]=DestroyFxInfo(fx_info[i]);
+  fx_info=(FxInfo **) RelinquishMagickMemory(fx_info);
+  return(fx_info);
+}
+
+static FxInfo **AcquireFxThreadSet(const Image *image,const char *expression,
+  ExceptionInfo *exception)
+{
+  char
+    *fx_expression;
+
+  FxInfo
+    **fx_info;
+
+  double
+    alpha;
+
+  register ssize_t
+    i;
+
+  size_t
+    number_threads;
+
+  number_threads=(size_t) GetMagickResourceLimit(ThreadResource);
+  fx_info=(FxInfo **) AcquireQuantumMemory(number_threads,sizeof(*fx_info));
+  if (fx_info == (FxInfo **) NULL)
+    {
+      (void) ThrowMagickException(exception,GetMagickModule(),
+        ResourceLimitError,"MemoryAllocationFailed","`%s'",image->filename);
+      return((FxInfo **) NULL);
+    }
+  (void) memset(fx_info,0,number_threads*sizeof(*fx_info));
+  if (*expression != '@')
+    fx_expression=ConstantString(expression);
+  else
+    fx_expression=FileToString(expression+1,~0UL,exception);
+  for (i=0; i < (ssize_t) number_threads; i++)
+  {
+    MagickBooleanType
+      status;
+
+    fx_info[i]=AcquireFxInfo(image,fx_expression,exception);
+    if (fx_info[i] == (FxInfo *) NULL)
+      break;
+    status=FxPreprocessExpression(fx_info[i],&alpha,exception);
+    if (status == MagickFalse)
+      break;
+  }
+  fx_expression=DestroyString(fx_expression);
+  if (i < (ssize_t) number_threads)
+    fx_info=DestroyFxThreadSet(fx_info);
+  return(fx_info);
+}
+
+MagickExport Image *FxImage(const Image *image,const char *expression,
+  ExceptionInfo *exception)
+{
+#define FxImageTag  "Fx/Image"
+
+  CacheView
+    *fx_view,
+    *image_view;
+
+  FxInfo
+    **magick_restrict fx_info;
+
+  Image
+    *fx_image;
+
+  MagickBooleanType
+    status;
+
+  MagickOffsetType
+    progress;
+
+  ssize_t
+    y;
+
+  assert(image != (Image *) NULL);
+  assert(image->signature == MagickCoreSignature);
+  if (image->debug != MagickFalse)
+    (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
+  fx_info=AcquireFxThreadSet(image,expression,exception);
+  if (fx_info == (FxInfo **) NULL)
+    return((Image *) NULL);
+  fx_image=CloneImage(image,0,0,MagickTrue,exception);
+  if (fx_image == (Image *) NULL)
+    {
+      fx_info=DestroyFxThreadSet(fx_info);
+      return((Image *) NULL);
+    }
+  if (SetImageStorageClass(fx_image,DirectClass,exception) == MagickFalse)
+    {
+      fx_info=DestroyFxThreadSet(fx_info);
+      fx_image=DestroyImage(fx_image);
+      return((Image *) NULL);
+    }
+  /*
+    Fx image.
+  */
+  status=MagickTrue;
+  progress=0;
+  image_view=AcquireVirtualCacheView(image,exception);
+  fx_view=AcquireAuthenticCacheView(fx_image,exception);
+#if defined(MAGICKCORE_OPENMP_SUPPORT)
+  #pragma omp parallel for schedule(static) shared(progress,status) \
+    magick_number_threads(image,fx_image,fx_image->rows,1)
+#endif
+  for (y=0; y < (ssize_t) fx_image->rows; y++)
+  {
+    const int
+      id = GetOpenMPThreadId();
+
+    register const Quantum
+      *magick_restrict p;
+
+    register Quantum
+      *magick_restrict q;
+
+    register ssize_t
+      x;
+
+    if (status == MagickFalse)
+      continue;
+    p=GetCacheViewVirtualPixels(image_view,0,y,image->columns,1,exception);
+    q=QueueCacheViewAuthenticPixels(fx_view,0,y,fx_image->columns,1,exception);
+    if ((p == (const Quantum *) NULL) || (q == (Quantum *) NULL))
+      {
+        status=MagickFalse;
+        continue;
+      }
+    for (x=0; x < (ssize_t) fx_image->columns; x++)
+    {
+      register ssize_t
+        i;
+
+      for (i=0; i < (ssize_t) GetPixelChannels(image); i++)
+      {
+        double
+          alpha;
+
+        PixelChannel channel = GetPixelChannelChannel(image,i);
+        PixelTrait traits = GetPixelChannelTraits(image,channel);
+        PixelTrait fx_traits=GetPixelChannelTraits(fx_image,channel);
+        if ((traits == UndefinedPixelTrait) ||
+            (fx_traits == UndefinedPixelTrait))
+          continue;
+        if ((fx_traits & CopyPixelTrait) != 0)
+          {
+            SetPixelChannel(fx_image,channel,p[i],q);
+            continue;
+          }
+        alpha=0.0;
+        (void) FxEvaluateChannelExpression(fx_info[id],channel,x,y,&alpha,
+          exception);
+        q[i]=ClampToQuantum(QuantumRange*alpha);
+      }
+      p+=GetPixelChannels(image);
+      q+=GetPixelChannels(fx_image);
+    }
+    if (SyncCacheViewAuthenticPixels(fx_view,exception) == MagickFalse)
+      status=MagickFalse;
+    if (image->progress_monitor != (MagickProgressMonitor) NULL)
+      {
+        MagickBooleanType
+          proceed;
+
+#if defined(MAGICKCORE_OPENMP_SUPPORT)
+        #pragma omp critical (MagickCore_FxImage)
+#endif
+        proceed=SetImageProgress(image,FxImageTag,progress++,image->rows);
+        if (proceed == MagickFalse)
+          status=MagickFalse;
+      }
+  }
+  fx_view=DestroyCacheView(fx_view);
+  image_view=DestroyCacheView(image_view);
+  fx_info=DestroyFxThreadSet(fx_info);
+  if (status == MagickFalse)
+    fx_image=DestroyImage(fx_image);
+  return(fx_image);
+}
+\f
+/*
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%     I m p l o d e I m a g e                                                 %
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+%  ImplodeImage() creates a new image that is a copy of an existing
+%  one with the image pixels "implode" by the specified percentage.  It
+%  allocates the memory necessary for the new Image structure and returns a
+%  pointer to the new image.
+%
+%  The format of the ImplodeImage method is:
+%
+%      Image *ImplodeImage(const Image *image,const double amount,
+%        const PixelInterpolateMethod method,ExceptionInfo *exception)
+%
+%  A description of each parameter follows:
+%
+%    o implode_image: Method ImplodeImage returns a pointer to the image
+%      after it is implode.  A null image is returned if there is a memory
+%      shortage.
+%
+%    o image: the image.
+%
+%    o amount:  Define the extent of the implosion.
+%
+%    o method: the pixel interpolation method.
+%
+%    o exception: return any errors or warnings in this structure.
+%
+*/
+MagickExport Image *ImplodeImage(const Image *image,const double amount,
+  const PixelInterpolateMethod method,ExceptionInfo *exception)
+{
+#define ImplodeImageTag  "Implode/Image"
+
+  CacheView
+    *canvas_view,
+    *implode_view,
+    *interpolate_view;
+
+  Image
+    *canvas,
+    *implode_image;
+
+  MagickBooleanType
+    status;
+
+  MagickOffsetType
+    progress;
+
+  double
+    radius;
+
+  PointInfo
+    center,
+    scale;
+
+  ssize_t
+    y;
+
+  /*
+    Initialize implode image attributes.
+  */
+  assert(image != (Image *) NULL);
+  assert(image->signature == MagickCoreSignature);
+  if (image->debug != MagickFalse)
+    (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
+  assert(exception != (ExceptionInfo *) NULL);
+  assert(exception->signature == MagickCoreSignature);
+  canvas=CloneImage(image,0,0,MagickTrue,exception);
+  if (canvas == (Image *) NULL)
+    return((Image *) NULL);
+  if ((canvas->alpha_trait == UndefinedPixelTrait) &&
+      (canvas->background_color.alpha != OpaqueAlpha))
+    (void) SetImageAlphaChannel(canvas,OpaqueAlphaChannel,exception);
+  implode_image=CloneImage(canvas,canvas->columns,canvas->rows,MagickTrue,
+    exception);
+  if (implode_image == (Image *) NULL)
+    {
+      canvas=DestroyImage(canvas);
+      return((Image *) NULL);
+    }
+  if (SetImageStorageClass(implode_image,DirectClass,exception) == MagickFalse)
+    {
+      canvas=DestroyImage(canvas);
+      implode_image=DestroyImage(implode_image);
+      return((Image *) NULL);
+    }
+  /*
+    Compute scaling factor.
+  */
+  scale.x=1.0;
+  scale.y=1.0;
+  center.x=0.5*canvas->columns;
+  center.y=0.5*canvas->rows;
+  radius=center.x;
+  if (canvas->columns > canvas->rows)
+    scale.y=(double) canvas->columns/(double) canvas->rows;
+  else
+    if (canvas->columns < canvas->rows)
+      {
+        scale.x=(double) canvas->rows/(double) canvas->columns;
+        radius=center.y;
+      }
+  /*
+    Implode image.
+  */
+  status=MagickTrue;
+  progress=0;
+  canvas_view=AcquireVirtualCacheView(canvas,exception);
+  interpolate_view=AcquireVirtualCacheView(canvas,exception);
+  implode_view=AcquireAuthenticCacheView(implode_image,exception);
+#if defined(MAGICKCORE_OPENMP_SUPPORT)
+  #pragma omp parallel for schedule(static) shared(progress,status) \
+    magick_number_threads(canvas,implode_image,canvas->rows,1)
+#endif
+  for (y=0; y < (ssize_t) canvas->rows; y++)
+  {
+    double
+      distance;
+
+    PointInfo
+      delta;
+
+    register const Quantum
+      *magick_restrict p;
+
+    register ssize_t
+      x;
+
+    register Quantum
+      *magick_restrict q;
+
+    if (status == MagickFalse)
+      continue;
+    p=GetCacheViewVirtualPixels(canvas_view,0,y,canvas->columns,1,exception);
+    q=QueueCacheViewAuthenticPixels(implode_view,0,y,implode_image->columns,1,
+      exception);
+    if ((p == (const Quantum *) NULL) || (q == (Quantum *) NULL))
+      {
+        status=MagickFalse;
+        continue;
+      }
+    delta.y=scale.y*(double) (y-center.y);
+    for (x=0; x < (ssize_t) canvas->columns; x++)
+    {
+      register ssize_t
+        i;
+
+      /*
+        Determine if the pixel is within an ellipse.
+      */
+      delta.x=scale.x*(double) (x-center.x);
+      distance=delta.x*delta.x+delta.y*delta.y;
+      if (distance >= (radius*radius))
+        for (i=0; i < (ssize_t) GetPixelChannels(canvas); i++)
+        {
+          PixelChannel channel = GetPixelChannelChannel(canvas,i);
+          PixelTrait traits = GetPixelChannelTraits(canvas,channel);
+          PixelTrait implode_traits = GetPixelChannelTraits(implode_image,
+            channel);
+          if ((traits == UndefinedPixelTrait) ||
+              (implode_traits == UndefinedPixelTrait))
+            continue;
+          SetPixelChannel(implode_image,channel,p[i],q);
+        }
+      else
+        {
+          double
+            factor;
+
+          /*
+            Implode the pixel.
+          */
+          factor=1.0;
+          if (distance > 0.0)
+            factor=pow(sin(MagickPI*sqrt((double) distance)/radius/2),-amount);
+          status=InterpolatePixelChannels(canvas,interpolate_view,implode_image,
+            method,(double) (factor*delta.x/scale.x+center.x),(double) (factor*
+            delta.y/scale.y+center.y),q,exception);
+          if (status == MagickFalse)
+            break;
+        }
+      p+=GetPixelChannels(canvas);
+      q+=GetPixelChannels(implode_image);
+    }
+    if (SyncCacheViewAuthenticPixels(implode_view,exception) == MagickFalse)
+      status=MagickFalse;
+    if (canvas->progress_monitor != (MagickProgressMonitor) NULL)
+      {
+        MagickBooleanType
+          proceed;
+
+#if defined(MAGICKCORE_OPENMP_SUPPORT)
+        #pragma omp critical (MagickCore_ImplodeImage)
+#endif
+        proceed=SetImageProgress(canvas,ImplodeImageTag,progress++,
+          canvas->rows);
+        if (proceed == MagickFalse)
+          status=MagickFalse;
+      }
+  }
+  implode_view=DestroyCacheView(implode_view);
+  interpolate_view=DestroyCacheView(interpolate_view);
+  canvas_view=DestroyCacheView(canvas_view);
+  canvas=DestroyImage(canvas);
+  if (status == MagickFalse)
+    implode_image=DestroyImage(implode_image);
+  return(implode_image);
+}
+\f
+/*
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%     M o r p h I m a g e s                                                   %
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+%  The MorphImages() method requires a minimum of two images.  The first
+%  image is transformed into the second by a number of intervening images
+%  as specified by frames.
+%
+%  The format of the MorphImage method is:
+%
+%      Image *MorphImages(const Image *image,const size_t number_frames,
+%        ExceptionInfo *exception)
+%
+%  A description of each parameter follows:
+%
+%    o image: the image.
+%
+%    o number_frames:  Define the number of in-between image to generate.
+%      The more in-between frames, the smoother the morph.
+%
+%    o exception: return any errors or warnings in this structure.
+%
+*/
+MagickExport Image *MorphImages(const Image *image,const size_t number_frames,
+  ExceptionInfo *exception)
+{
+#define MorphImageTag  "Morph/Image"
+
+  double
+    alpha,
+    beta;
+
+  Image
+    *morph_image,
+    *morph_images;
+
+  MagickBooleanType
+    status;
+
+  MagickOffsetType
+    scene;
+
+  register const Image
+    *next;
+
+  register ssize_t
+    n;
+
+  ssize_t
+    y;
+
+  /*
+    Clone first frame in sequence.
+  */
+  assert(image != (Image *) NULL);
+  assert(image->signature == MagickCoreSignature);
+  if (image->debug != MagickFalse)
+    (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
+  assert(exception != (ExceptionInfo *) NULL);
+  assert(exception->signature == MagickCoreSignature);
+  morph_images=CloneImage(image,0,0,MagickTrue,exception);
+  if (morph_images == (Image *) NULL)
+    return((Image *) NULL);
+  if (GetNextImageInList(image) == (Image *) NULL)
+    {
+      /*
+        Morph single image.
+      */
+      for (n=1; n < (ssize_t) number_frames; n++)
+      {
+        morph_image=CloneImage(image,0,0,MagickTrue,exception);
+        if (morph_image == (Image *) NULL)
+          {
+            morph_images=DestroyImageList(morph_images);
+            return((Image *) NULL);
+          }
+        AppendImageToList(&morph_images,morph_image);
+        if (image->progress_monitor != (MagickProgressMonitor) NULL)
+          {
+            MagickBooleanType
+              proceed;
+
+            proceed=SetImageProgress(image,MorphImageTag,(MagickOffsetType) n,
+              number_frames);
+            if (proceed == MagickFalse)
+              status=MagickFalse;
+          }
+      }
+      return(GetFirstImageInList(morph_images));
+    }
+  /*
+    Morph image sequence.
+  */
+  status=MagickTrue;
+  scene=0;
+  next=image;
+  for ( ; GetNextImageInList(next) != (Image *) NULL; next=GetNextImageInList(next))
+  {
+    for (n=0; n < (ssize_t) number_frames; n++)
+    {
+      CacheView
+        *image_view,
+        *morph_view;
+
+      beta=(double) (n+1.0)/(double) (number_frames+1.0);
+      alpha=1.0-beta;
+      morph_image=ResizeImage(next,(size_t) (alpha*next->columns+beta*
+        GetNextImageInList(next)->columns+0.5),(size_t) (alpha*next->rows+beta*
+        GetNextImageInList(next)->rows+0.5),next->filter,exception);
+      if (morph_image == (Image *) NULL)
+        {
+          morph_images=DestroyImageList(morph_images);
+          return((Image *) NULL);
+        }
+      status=SetImageStorageClass(morph_image,DirectClass,exception);
+      if (status == MagickFalse)
+        {
+          morph_image=DestroyImage(morph_image);
+          return((Image *) NULL);
+        }
+      AppendImageToList(&morph_images,morph_image);
+      morph_images=GetLastImageInList(morph_images);
+      morph_image=ResizeImage(GetNextImageInList(next),morph_images->columns,
+        morph_images->rows,GetNextImageInList(next)->filter,exception);
+      if (morph_image == (Image *) NULL)
+        {
+          morph_images=DestroyImageList(morph_images);
+          return((Image *) NULL);
+        }
+      image_view=AcquireVirtualCacheView(morph_image,exception);
+      morph_view=AcquireAuthenticCacheView(morph_images,exception);
+#if defined(MAGICKCORE_OPENMP_SUPPORT)
+      #pragma omp parallel for schedule(static) shared(status) \
+        magick_number_threads(morph_image,morph_image,morph_image->rows,1)
+#endif
+      for (y=0; y < (ssize_t) morph_images->rows; y++)
+      {
+        MagickBooleanType
+          sync;
+
+        register const Quantum
+          *magick_restrict p;
+
+        register ssize_t
+          x;
+
+        register Quantum
+          *magick_restrict q;
+
+        if (status == MagickFalse)
+          continue;
+        p=GetCacheViewVirtualPixels(image_view,0,y,morph_image->columns,1,
+          exception);
+        q=GetCacheViewAuthenticPixels(morph_view,0,y,morph_images->columns,1,
+          exception);
+        if ((p == (const Quantum *) NULL) || (q == (Quantum *) NULL))
+          {
+            status=MagickFalse;
+            continue;
+          }
+        for (x=0; x < (ssize_t) morph_images->columns; x++)
+        {
+          register ssize_t
+            i;
+
+          for (i=0; i < (ssize_t) GetPixelChannels(morph_image); i++)
+          {
+            PixelChannel channel = GetPixelChannelChannel(morph_image,i);
+            PixelTrait traits = GetPixelChannelTraits(morph_image,channel);
+            PixelTrait morph_traits=GetPixelChannelTraits(morph_images,channel);
+            if ((traits == UndefinedPixelTrait) ||
+                (morph_traits == UndefinedPixelTrait))
+              continue;
+            if ((morph_traits & CopyPixelTrait) != 0)
+              {
+                SetPixelChannel(morph_image,channel,p[i],q);
+                continue;
+              }
+            SetPixelChannel(morph_image,channel,ClampToQuantum(alpha*
+              GetPixelChannel(morph_images,channel,q)+beta*p[i]),q);
+          }
+          p+=GetPixelChannels(morph_image);
+          q+=GetPixelChannels(morph_images);
+        }
+        sync=SyncCacheViewAuthenticPixels(morph_view,exception);
+        if (sync == MagickFalse)
+          status=MagickFalse;
+      }
+      morph_view=DestroyCacheView(morph_view);
+      image_view=DestroyCacheView(image_view);
+      morph_image=DestroyImage(morph_image);
+    }
+    if (n < (ssize_t) number_frames)
+      break;
+    /*
+      Clone last frame in sequence.
+    */
+    morph_image=CloneImage(GetNextImageInList(next),0,0,MagickTrue,exception);
+    if (morph_image == (Image *) NULL)
+      {
+        morph_images=DestroyImageList(morph_images);
+        return((Image *) NULL);
+      }
+    AppendImageToList(&morph_images,morph_image);
+    morph_images=GetLastImageInList(morph_images);
+    if (image->progress_monitor != (MagickProgressMonitor) NULL)
+      {
+        MagickBooleanType
+          proceed;
+
+#if defined(MAGICKCORE_OPENMP_SUPPORT)
+        #pragma omp critical (MagickCore_MorphImages)
+#endif
+        proceed=SetImageProgress(image,MorphImageTag,scene,
+          GetImageListLength(image));
+        if (proceed == MagickFalse)
+          status=MagickFalse;
+      }
+    scene++;
+  }
+  if (GetNextImageInList(next) != (Image *) NULL)
+    {
+      morph_images=DestroyImageList(morph_images);
+      return((Image *) NULL);
+    }
+  return(GetFirstImageInList(morph_images));
+}
+\f
+/*
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%     P l a s m a I m a g e                                                   %
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+%  PlasmaImage() initializes an image with plasma fractal values.  The image
+%  must be initialized with a base color and the random number generator
+%  seeded before this method is called.
+%
+%  The format of the PlasmaImage method is:
+%
+%      MagickBooleanType PlasmaImage(Image *image,const SegmentInfo *segment,
+%        size_t attenuate,size_t depth,ExceptionInfo *exception)
+%
+%  A description of each parameter follows:
+%
+%    o image: the image.
+%
+%    o segment:   Define the region to apply plasma fractals values.
+%
+%    o attenuate: Define the plasma attenuation factor.
+%
+%    o depth: Limit the plasma recursion depth.
+%
+%    o exception: return any errors or warnings in this structure.
+%
+*/
+
+static inline Quantum PlasmaPixel(RandomInfo *random_info,
+  const double pixel,const double noise)
+{
+  Quantum
+    plasma;
+
+  plasma=ClampToQuantum(pixel+noise*GetPseudoRandomValue(random_info)-
+    noise/2.0);
+  if (plasma <= 0)
+    return((Quantum) 0);
+  if (plasma >= QuantumRange)
+    return(QuantumRange);
+  return(plasma);
+}
+
+static MagickBooleanType PlasmaImageProxy(Image *image,CacheView *image_view,
+  CacheView *u_view,CacheView *v_view,RandomInfo *random_info,
+  const SegmentInfo *segment,size_t attenuate,size_t depth,
+  ExceptionInfo *exception)
+{
+  double
+    plasma;
+
+  register const Quantum
+    *magick_restrict u,
+    *magick_restrict v;
+
+  register Quantum
+    *magick_restrict q;
+
+  register ssize_t
+    i;
+
+  ssize_t
+    x,
+    x_mid,
+    y,
+    y_mid;
+
+  if ((fabs(segment->x2-segment->x1) <= MagickEpsilon) &&
+      (fabs(segment->y2-segment->y1) <= MagickEpsilon))
+    return(MagickTrue);
+  if (depth != 0)
+    {
+      MagickBooleanType
+        status;
+
+      SegmentInfo
+        local_info;
+
+      /*
+        Divide the area into quadrants and recurse.
+      */
+      depth--;
+      attenuate++;
+      x_mid=(ssize_t) ceil((segment->x1+segment->x2)/2-0.5);
+      y_mid=(ssize_t) ceil((segment->y1+segment->y2)/2-0.5);
+      local_info=(*segment);
+      local_info.x2=(double) x_mid;
+      local_info.y2=(double) y_mid;
+      (void) PlasmaImageProxy(image,image_view,u_view,v_view,random_info,
+        &local_info,attenuate,depth,exception);
+      local_info=(*segment);
+      local_info.y1=(double) y_mid;
+      local_info.x2=(double) x_mid;
+      (void) PlasmaImageProxy(image,image_view,u_view,v_view,random_info,
+        &local_info,attenuate,depth,exception);
+      local_info=(*segment);
+      local_info.x1=(double) x_mid;
+      local_info.y2=(double) y_mid;
+      (void) PlasmaImageProxy(image,image_view,u_view,v_view,random_info,
+        &local_info,attenuate,depth,exception);
+      local_info=(*segment);
+      local_info.x1=(double) x_mid;
+      local_info.y1=(double) y_mid;
+      status=PlasmaImageProxy(image,image_view,u_view,v_view,random_info,
+        &local_info,attenuate,depth,exception);
+      return(status);
+    }
+  x_mid=(ssize_t) ceil((segment->x1+segment->x2)/2-0.5);
+  y_mid=(ssize_t) ceil((segment->y1+segment->y2)/2-0.5);
+  if ((fabs(segment->x1-x_mid) < MagickEpsilon) &&
+      (fabs(segment->x2-x_mid) < MagickEpsilon) &&
+      (fabs(segment->y1-y_mid) < MagickEpsilon) &&
+      (fabs(segment->y2-y_mid) < MagickEpsilon))
+    return(MagickFalse);
+  /*
+    Average pixels and apply plasma.
+  */
+  plasma=(double) QuantumRange/(2.0*attenuate);
+  if ((fabs(segment->x1-x_mid) > MagickEpsilon) ||
+      (fabs(segment->x2-x_mid) > MagickEpsilon))
+    {
+      /*
+        Left pixel.
+      */
+      x=(ssize_t) ceil(segment->x1-0.5);
+      u=GetCacheViewVirtualPixels(u_view,x,(ssize_t) ceil(segment->y1-0.5),1,1,
+        exception);
+      v=GetCacheViewVirtualPixels(v_view,x,(ssize_t) ceil(segment->y2-0.5),1,1,
+        exception);
+      q=QueueCacheViewAuthenticPixels(image_view,x,y_mid,1,1,exception);
+      if ((u == (const Quantum *) NULL) || (v == (const Quantum *) NULL) ||
+          (q == (Quantum *) NULL))
+        return(MagickTrue);
+      for (i=0; i < (ssize_t) GetPixelChannels(image); i++)
+      {
+        PixelChannel channel = GetPixelChannelChannel(image,i);
+        PixelTrait traits = GetPixelChannelTraits(image,channel);
+        if (traits == UndefinedPixelTrait)
+          continue;
+        q[i]=PlasmaPixel(random_info,(u[i]+v[i])/2.0,plasma);
+      }
+      (void) SyncCacheViewAuthenticPixels(image_view,exception);
+      if (fabs(segment->x1-segment->x2) > MagickEpsilon)
+        {
+          /*
+            Right pixel.
+          */
+          x=(ssize_t) ceil(segment->x2-0.5);
+          u=GetCacheViewVirtualPixels(u_view,x,(ssize_t) ceil(segment->y1-0.5),
+            1,1,exception);
+          v=GetCacheViewVirtualPixels(v_view,x,(ssize_t) ceil(segment->y2-0.5),
+            1,1,exception);
+          q=QueueCacheViewAuthenticPixels(image_view,x,y_mid,1,1,exception);
+          if ((u == (const Quantum *) NULL) || (v == (const Quantum *) NULL) ||
+              (q == (Quantum *) NULL))
+            return(MagickTrue);
+          for (i=0; i < (ssize_t) GetPixelChannels(image); i++)
+          {
+            PixelChannel channel = GetPixelChannelChannel(image,i);
+            PixelTrait traits = GetPixelChannelTraits(image,channel);
+            if (traits == UndefinedPixelTrait)
+              continue;
+            q[i]=PlasmaPixel(random_info,(u[i]+v[i])/2.0,plasma);
+          }
+          (void) SyncCacheViewAuthenticPixels(image_view,exception);
+        }
+    }
+  if ((fabs(segment->y1-y_mid) > MagickEpsilon) ||
+      (fabs(segment->y2-y_mid) > MagickEpsilon))
+    {
+      if ((fabs(segment->x1-x_mid) > MagickEpsilon) ||
+          (fabs(segment->y2-y_mid) > MagickEpsilon))
+        {
+          /*
+            Bottom pixel.
+          */
+          y=(ssize_t) ceil(segment->y2-0.5);
+          u=GetCacheViewVirtualPixels(u_view,(ssize_t) ceil(segment->x1-0.5),y,
+            1,1,exception);
+          v=GetCacheViewVirtualPixels(v_view,(ssize_t) ceil(segment->x2-0.5),y,
+            1,1,exception);
+          q=QueueCacheViewAuthenticPixels(image_view,x_mid,y,1,1,exception);
+          if ((u == (const Quantum *) NULL) || (v == (const Quantum *) NULL) ||
+              (q == (Quantum *) NULL))
+            return(MagickTrue);
+          for (i=0; i < (ssize_t) GetPixelChannels(image); i++)
+          {
+            PixelChannel channel = GetPixelChannelChannel(image,i);
+            PixelTrait traits = GetPixelChannelTraits(image,channel);
+            if (traits == UndefinedPixelTrait)
+              continue;
+            q[i]=PlasmaPixel(random_info,(u[i]+v[i])/2.0,plasma);
+          }
+          (void) SyncCacheViewAuthenticPixels(image_view,exception);
+        }
+      if (fabs(segment->y1-segment->y2) > MagickEpsilon)
+        {
+          /*
+            Top pixel.
+          */
+          y=(ssize_t) ceil(segment->y1-0.5);
+          u=GetCacheViewVirtualPixels(u_view,(ssize_t) ceil(segment->x1-0.5),y,
+            1,1,exception);
+          v=GetCacheViewVirtualPixels(v_view,(ssize_t) ceil(segment->x2-0.5),y,
+            1,1,exception);
+          q=QueueCacheViewAuthenticPixels(image_view,x_mid,y,1,1,exception);
+          if ((u == (const Quantum *) NULL) || (v == (const Quantum *) NULL) ||
+              (q == (Quantum *) NULL))
+            return(MagickTrue);
+          for (i=0; i < (ssize_t) GetPixelChannels(image); i++)
+          {
+            PixelChannel channel = GetPixelChannelChannel(image,i);
+            PixelTrait traits = GetPixelChannelTraits(image,channel);
+            if (traits == UndefinedPixelTrait)
+              continue;
+            q[i]=PlasmaPixel(random_info,(u[i]+v[i])/2.0,plasma);
+          }
+          (void) SyncCacheViewAuthenticPixels(image_view,exception);
+        }
+    }
+  if ((fabs(segment->x1-segment->x2) > MagickEpsilon) ||
+      (fabs(segment->y1-segment->y2) > MagickEpsilon))
+    {
+      /*
+        Middle pixel.
+      */
+      x=(ssize_t) ceil(segment->x1-0.5);
+      y=(ssize_t) ceil(segment->y1-0.5);
+      u=GetCacheViewVirtualPixels(u_view,x,y,1,1,exception);
+      x=(ssize_t) ceil(segment->x2-0.5);
+      y=(ssize_t) ceil(segment->y2-0.5);
+      v=GetCacheViewVirtualPixels(v_view,x,y,1,1,exception);
+      q=QueueCacheViewAuthenticPixels(image_view,x_mid,y_mid,1,1,exception);
+      if ((u == (const Quantum *) NULL) || (v == (const Quantum *) NULL) ||
+          (q == (Quantum *) NULL))
+        return(MagickTrue);
+      for (i=0; i < (ssize_t) GetPixelChannels(image); i++)
+      {
+        PixelChannel channel = GetPixelChannelChannel(image,i);
+        PixelTrait traits = GetPixelChannelTraits(image,channel);
+        if (traits == UndefinedPixelTrait)
+          continue;
+        q[i]=PlasmaPixel(random_info,(u[i]+v[i])/2.0,plasma);
+      }
+      (void) SyncCacheViewAuthenticPixels(image_view,exception);
+    }
+  if ((fabs(segment->x2-segment->x1) < 3.0) &&
+      (fabs(segment->y2-segment->y1) < 3.0))
+    return(MagickTrue);
+  return(MagickFalse);
+}
+
+MagickExport MagickBooleanType PlasmaImage(Image *image,
+  const SegmentInfo *segment,size_t attenuate,size_t depth,
+  ExceptionInfo *exception)
+{
+  CacheView
+    *image_view,
+    *u_view,
+    *v_view;
+
+  MagickBooleanType
+    status;
+
+  RandomInfo
+    *random_info;
+
+  if (image->debug != MagickFalse)
+    (void) LogMagickEvent(TraceEvent,GetMagickModule(),"...");
+  assert(image != (Image *) NULL);
+  assert(image->signature == MagickCoreSignature);
+  if (image->debug != MagickFalse)
+    (void) LogMagickEvent(TraceEvent,GetMagickModule(),"...");
+  if (SetImageStorageClass(image,DirectClass,exception) == MagickFalse)
+    return(MagickFalse);
+  image_view=AcquireAuthenticCacheView(image,exception);
+  u_view=AcquireVirtualCacheView(image,exception);
+  v_view=AcquireVirtualCacheView(image,exception);
+  random_info=AcquireRandomInfo();
+  status=PlasmaImageProxy(image,image_view,u_view,v_view,random_info,segment,
+    attenuate,depth,exception);
+  random_info=DestroyRandomInfo(random_info);
+  v_view=DestroyCacheView(v_view);
+  u_view=DestroyCacheView(u_view);
+  image_view=DestroyCacheView(image_view);
+  return(status);
+}
+\f
+/*
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%   P o l a r o i d I m a g e                                                 %
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+%  PolaroidImage() simulates a Polaroid picture.
+%
+%  The format of the PolaroidImage method is:
+%
+%      Image *PolaroidImage(const Image *image,const DrawInfo *draw_info,
+%        const char *caption,const double angle,
+%        const PixelInterpolateMethod method,ExceptionInfo exception)
+%
+%  A description of each parameter follows:
+%
+%    o image: the image.
+%
+%    o draw_info: the draw info.
+%
+%    o caption: the Polaroid caption.
+%
+%    o angle: Apply the effect along this angle.
+%
+%    o method: the pixel interpolation method.
+%
+%    o exception: return any errors or warnings in this structure.
+%
+*/
+MagickExport Image *PolaroidImage(const Image *image,const DrawInfo *draw_info,
+  const char *caption,const double angle,const PixelInterpolateMethod method,
+  ExceptionInfo *exception)
+{
+  Image
+    *bend_image,
+    *caption_image,
+    *flop_image,
+    *picture_image,
+    *polaroid_image,
+    *rotate_image,
+    *trim_image;
+
+  size_t
+    height;
+
+  ssize_t
+    quantum;
+
+  /*
+    Simulate a Polaroid picture.
+  */
+  assert(image != (Image *) NULL);
+  assert(image->signature == MagickCoreSignature);
+  if (image->debug != MagickFalse)
+    (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
+  assert(exception != (ExceptionInfo *) NULL);
+  assert(exception->signature == MagickCoreSignature);
+  quantum=(ssize_t) MagickMax(MagickMax((double) image->columns,(double)
+    image->rows)/25.0,10.0);
+  height=image->rows+2*quantum;
+  caption_image=(Image *) NULL;
+  if (caption != (const char *) NULL)
+    {
+      char
+        geometry[MagickPathExtent],
+        *text;
+
+      DrawInfo
+        *annotate_info;
+
+      ImageInfo
+        *image_info;
+
+      MagickBooleanType
+        status;
+
+      ssize_t
+        count;
+
+      TypeMetric
+        metrics;
+
+      /*
+        Generate caption image.
+      */
+      caption_image=CloneImage(image,image->columns,1,MagickTrue,exception);
+      if (caption_image == (Image *) NULL)
+        return((Image *) NULL);
+      image_info=AcquireImageInfo();
+      annotate_info=CloneDrawInfo((const ImageInfo *) NULL,draw_info);
+      text=InterpretImageProperties(image_info,(Image *) image,caption,
+        exception);
+      image_info=DestroyImageInfo(image_info);
+      (void) CloneString(&annotate_info->text,text);
+      count=FormatMagickCaption(caption_image,annotate_info,MagickTrue,&metrics,
+        &text,exception);
+      status=SetImageExtent(caption_image,image->columns,(size_t) ((count+1)*
+        (metrics.ascent-metrics.descent)+0.5),exception);
+      if (status == MagickFalse)
+        caption_image=DestroyImage(caption_image);
+      else
+        {
+          caption_image->background_color=image->border_color;
+          (void) SetImageBackgroundColor(caption_image,exception);
+          (void) CloneString(&annotate_info->text,text);
+          (void) FormatLocaleString(geometry,MagickPathExtent,"+0+%.20g",
+            metrics.ascent);
+          if (annotate_info->gravity == UndefinedGravity)
+            (void) CloneString(&annotate_info->geometry,AcquireString(
+              geometry));
+          (void) AnnotateImage(caption_image,annotate_info,exception);
+          height+=caption_image->rows;
+        }
+      annotate_info=DestroyDrawInfo(annotate_info);
+      text=DestroyString(text);
+    }
+  picture_image=CloneImage(image,image->columns+2*quantum,height,MagickTrue,
+    exception);
+  if (picture_image == (Image *) NULL)
+    {
+      if (caption_image != (Image *) NULL)
+        caption_image=DestroyImage(caption_image);
+      return((Image *) NULL);
+    }
+  picture_image->background_color=image->border_color;
+  (void) SetImageBackgroundColor(picture_image,exception);
+  (void) CompositeImage(picture_image,image,OverCompositeOp,MagickTrue,quantum,
+    quantum,exception);
+  if (caption_image != (Image *) NULL)
+    {
+      (void) CompositeImage(picture_image,caption_image,OverCompositeOp,
+        MagickTrue,quantum,(ssize_t) (image->rows+3*quantum/2),exception);
+      caption_image=DestroyImage(caption_image);
+    }
+  (void) QueryColorCompliance("none",AllCompliance,
+    &picture_image->background_color,exception);
+  (void) SetImageAlphaChannel(picture_image,OpaqueAlphaChannel,exception);
+  rotate_image=RotateImage(picture_image,90.0,exception);
+  picture_image=DestroyImage(picture_image);
+  if (rotate_image == (Image *) NULL)
+    return((Image *) NULL);
+  picture_image=rotate_image;
+  bend_image=WaveImage(picture_image,0.01*picture_image->rows,2.0*
+    picture_image->columns,method,exception);
+  picture_image=DestroyImage(picture_image);
+  if (bend_image == (Image *) NULL)
+    return((Image *) NULL);
+  picture_image=bend_image;
+  rotate_image=RotateImage(picture_image,-90.0,exception);
+  picture_image=DestroyImage(picture_image);
+  if (rotate_image == (Image *) NULL)
+    return((Image *) NULL);
+  picture_image=rotate_image;
+  picture_image->background_color=image->background_color;
+  polaroid_image=ShadowImage(picture_image,80.0,2.0,quantum/3,quantum/3,
+    exception);
+  if (polaroid_image == (Image *) NULL)
+    {
+      picture_image=DestroyImage(picture_image);
+      return(picture_image);
+    }
+  flop_image=FlopImage(polaroid_image,exception);
+  polaroid_image=DestroyImage(polaroid_image);
+  if (flop_image == (Image *) NULL)
+    {
+      picture_image=DestroyImage(picture_image);
+      return(picture_image);
+    }
+  polaroid_image=flop_image;
+  (void) CompositeImage(polaroid_image,picture_image,OverCompositeOp,
+    MagickTrue,(ssize_t) (-0.01*picture_image->columns/2.0),0L,exception);
+  picture_image=DestroyImage(picture_image);
+  (void) QueryColorCompliance("none",AllCompliance,
+    &polaroid_image->background_color,exception);
+  rotate_image=RotateImage(polaroid_image,angle,exception);
+  polaroid_image=DestroyImage(polaroid_image);
+  if (rotate_image == (Image *) NULL)
+    return((Image *) NULL);
+  polaroid_image=rotate_image;
+  trim_image=TrimImage(polaroid_image,exception);
+  polaroid_image=DestroyImage(polaroid_image);
+  if (trim_image == (Image *) NULL)
+    return((Image *) NULL);
+  polaroid_image=trim_image;
+  return(polaroid_image);
+}
+\f
+/*
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%     S e p i a T o n e I m a g e                                             %
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+%  MagickSepiaToneImage() applies a special effect to the image, similar to the
+%  effect achieved in a photo darkroom by sepia toning.  Threshold ranges from
+%  0 to QuantumRange and is a measure of the extent of the sepia toning.  A
+%  threshold of 80% is a good starting point for a reasonable tone.
+%
+%  The format of the SepiaToneImage method is:
+%
+%      Image *SepiaToneImage(const Image *image,const double threshold,
+%        ExceptionInfo *exception)
+%
+%  A description of each parameter follows:
+%
+%    o image: the image.
+%
+%    o threshold: the tone threshold.
+%
+%    o exception: return any errors or warnings in this structure.
+%
+*/
+MagickExport Image *SepiaToneImage(const Image *image,const double threshold,
+  ExceptionInfo *exception)
+{
+#define SepiaToneImageTag  "SepiaTone/Image"
+
+  CacheView
+    *image_view,
+    *sepia_view;
+
+  Image
+    *sepia_image;
+
+  MagickBooleanType
+    status;
+
+  MagickOffsetType
+    progress;
+
+  ssize_t
+    y;
+
+  /*
+    Initialize sepia-toned image attributes.
+  */
+  assert(image != (const Image *) NULL);
+  assert(image->signature == MagickCoreSignature);
+  if (image->debug != MagickFalse)
+    (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
+  assert(exception != (ExceptionInfo *) NULL);
+  assert(exception->signature == MagickCoreSignature);
+  sepia_image=CloneImage(image,0,0,MagickTrue,exception);
+  if (sepia_image == (Image *) NULL)
+    return((Image *) NULL);
+  if (SetImageStorageClass(sepia_image,DirectClass,exception) == MagickFalse)
+    {
+      sepia_image=DestroyImage(sepia_image);
+      return((Image *) NULL);
+    }
+  /*
+    Tone each row of the image.
+  */
+  status=MagickTrue;
+  progress=0;
+  image_view=AcquireVirtualCacheView(image,exception);
+  sepia_view=AcquireAuthenticCacheView(sepia_image,exception);
+#if defined(MAGICKCORE_OPENMP_SUPPORT)
+  #pragma omp parallel for schedule(static) shared(progress,status) \
+    magick_number_threads(image,sepia_image,image->rows,1)
+#endif
+  for (y=0; y < (ssize_t) image->rows; y++)
+  {
+    register const Quantum
+      *magick_restrict p;
+
+    register ssize_t
+      x;
+
+    register Quantum
+      *magick_restrict q;
+
+    if (status == MagickFalse)
+      continue;
+    p=GetCacheViewVirtualPixels(image_view,0,y,image->columns,1,exception);
+    q=GetCacheViewAuthenticPixels(sepia_view,0,y,sepia_image->columns,1,
+      exception);
+    if ((p == (const Quantum *) NULL) || (q == (Quantum *) NULL))
+      {
+        status=MagickFalse;
+        continue;
+      }
+    for (x=0; x < (ssize_t) image->columns; x++)
+    {
+      double
+        intensity,
+        tone;
+
+      intensity=GetPixelIntensity(image,p);
+      tone=intensity > threshold ? (double) QuantumRange : intensity+
+        (double) QuantumRange-threshold;
+      SetPixelRed(sepia_image,ClampToQuantum(tone),q);
+      tone=intensity > (7.0*threshold/6.0) ? (double) QuantumRange :
+        intensity+(double) QuantumRange-7.0*threshold/6.0;
+      SetPixelGreen(sepia_image,ClampToQuantum(tone),q);
+      tone=intensity < (threshold/6.0) ? 0 : intensity-threshold/6.0;
+      SetPixelBlue(sepia_image,ClampToQuantum(tone),q);
+      tone=threshold/7.0;
+      if ((double) GetPixelGreen(image,q) < tone)
+        SetPixelGreen(sepia_image,ClampToQuantum(tone),q);
+      if ((double) GetPixelBlue(image,q) < tone)
+        SetPixelBlue(sepia_image,ClampToQuantum(tone),q);
+      SetPixelAlpha(sepia_image,GetPixelAlpha(image,p),q);
+      p+=GetPixelChannels(image);
+      q+=GetPixelChannels(sepia_image);
+    }
+    if (SyncCacheViewAuthenticPixels(sepia_view,exception) == MagickFalse)
+      status=MagickFalse;
+    if (image->progress_monitor != (MagickProgressMonitor) NULL)
+      {
+        MagickBooleanType
+          proceed;
+
+#if defined(MAGICKCORE_OPENMP_SUPPORT)
+        #pragma omp critical (MagickCore_SepiaToneImage)
+#endif
+        proceed=SetImageProgress(image,SepiaToneImageTag,progress++,
+          image->rows);
+        if (proceed == MagickFalse)
+          status=MagickFalse;
+      }
+  }
+  sepia_view=DestroyCacheView(sepia_view);
+  image_view=DestroyCacheView(image_view);
+  (void) NormalizeImage(sepia_image,exception);
+  (void) ContrastImage(sepia_image,MagickTrue,exception);
+  if (status == MagickFalse)
+    sepia_image=DestroyImage(sepia_image);
+  return(sepia_image);
+}
+\f
+/*
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%     S h a d o w I m a g e                                                   %
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+%  ShadowImage() simulates a shadow from the specified image and returns it.
+%
+%  The format of the ShadowImage method is:
+%
+%      Image *ShadowImage(const Image *image,const double alpha,
+%        const double sigma,const ssize_t x_offset,const ssize_t y_offset,
+%        ExceptionInfo *exception)
+%
+%  A description of each parameter follows:
+%
+%    o image: the image.
+%
+%    o alpha: percentage transparency.
+%
+%    o sigma: the standard deviation of the Gaussian, in pixels.
+%
+%    o x_offset: the shadow x-offset.
+%
+%    o y_offset: the shadow y-offset.
+%
+%    o exception: return any errors or warnings in this structure.
+%
+*/
+MagickExport Image *ShadowImage(const Image *image,const double alpha,
+  const double sigma,const ssize_t x_offset,const ssize_t y_offset,
+  ExceptionInfo *exception)
+{
+#define ShadowImageTag  "Shadow/Image"
+
+  CacheView
+    *image_view;
+
+  ChannelType
+    channel_mask;
+
+  Image
+    *border_image,
+    *clone_image,
+    *shadow_image;
+
+  MagickBooleanType
+    status;
+
+  PixelInfo
+    background_color;
+
+  RectangleInfo
+    border_info;
+
+  ssize_t
+    y;
+
+  assert(image != (Image *) NULL);
+  assert(image->signature == MagickCoreSignature);
+  if (image->debug != MagickFalse)
+    (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
+  assert(exception != (ExceptionInfo *) NULL);
+  assert(exception->signature == MagickCoreSignature);
+  clone_image=CloneImage(image,0,0,MagickTrue,exception);
+  if (clone_image == (Image *) NULL)
+    return((Image *) NULL);
+  if (IsGrayColorspace(image->colorspace) != MagickFalse)
+    (void) SetImageColorspace(clone_image,sRGBColorspace,exception);
+  (void) SetImageVirtualPixelMethod(clone_image,EdgeVirtualPixelMethod,
+    exception);
+  border_info.width=(size_t) floor(2.0*sigma+0.5);
+  border_info.height=(size_t) floor(2.0*sigma+0.5);
+  border_info.x=0;
+  border_info.y=0;
+  (void) QueryColorCompliance("none",AllCompliance,&clone_image->border_color,
+    exception);
+  clone_image->alpha_trait=BlendPixelTrait;
+  border_image=BorderImage(clone_image,&border_info,OverCompositeOp,exception);
+  clone_image=DestroyImage(clone_image);
+  if (border_image == (Image *) NULL)
+    return((Image *) NULL);
+  if (border_image->alpha_trait == UndefinedPixelTrait)
+    (void) SetImageAlphaChannel(border_image,OpaqueAlphaChannel,exception);
+  /*
+    Shadow image.
+  */
+  status=MagickTrue;
+  background_color=border_image->background_color;
+  background_color.alpha_trait=BlendPixelTrait;
+  image_view=AcquireAuthenticCacheView(border_image,exception);
+  for (y=0; y < (ssize_t) border_image->rows; y++)
+  {
+    register Quantum
+      *magick_restrict q;
+
+    register ssize_t
+      x;
+
+    if (status == MagickFalse)
+      continue;
+    q=QueueCacheViewAuthenticPixels(image_view,0,y,border_image->columns,1,
+      exception);
+    if (q == (Quantum *) NULL)
+      {
+        status=MagickFalse;
+        continue;
+      }
+    for (x=0; x < (ssize_t) border_image->columns; x++)
+    {
+      if (border_image->alpha_trait != UndefinedPixelTrait)
+        background_color.alpha=GetPixelAlpha(border_image,q)*alpha/100.0;
+      SetPixelViaPixelInfo(border_image,&background_color,q);
+      q+=GetPixelChannels(border_image);
+    }
+    if (SyncCacheViewAuthenticPixels(image_view,exception) == MagickFalse)
+      status=MagickFalse;
+  }
+  image_view=DestroyCacheView(image_view);
+  if (status == MagickFalse)
+    {
+      border_image=DestroyImage(border_image);
+      return((Image *) NULL);
+    }
+  channel_mask=SetImageChannelMask(border_image,AlphaChannel);
+  shadow_image=BlurImage(border_image,0.0,sigma,exception);
+  border_image=DestroyImage(border_image);
+  if (shadow_image == (Image *) NULL)
+    return((Image *) NULL);
+  (void) SetPixelChannelMask(shadow_image,channel_mask);
+  if (shadow_image->page.width == 0)
+    shadow_image->page.width=shadow_image->columns;
+  if (shadow_image->page.height == 0)
+    shadow_image->page.height=shadow_image->rows;
+  shadow_image->page.width+=x_offset-(ssize_t) border_info.width;
+  shadow_image->page.height+=y_offset-(ssize_t) border_info.height;
+  shadow_image->page.x+=x_offset-(ssize_t) border_info.width;
+  shadow_image->page.y+=y_offset-(ssize_t) border_info.height;
+  return(shadow_image);
+}
+\f
+/*
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%     S k e t c h I m a g e                                                   %
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+%  SketchImage() simulates a pencil sketch.  We convolve the image with a
+%  Gaussian operator of the given radius and standard deviation (sigma).  For
+%  reasonable results, radius should be larger than sigma.  Use a radius of 0
+%  and SketchImage() selects a suitable radius for you.  Angle gives the angle
+%  of the sketch.
+%
+%  The format of the SketchImage method is:
+%
+%    Image *SketchImage(const Image *image,const double radius,
+%      const double sigma,const double angle,ExceptionInfo *exception)
+%
+%  A description of each parameter follows:
+%
+%    o image: the image.
+%
+%    o radius: the radius of the Gaussian, in pixels, not counting the
+%      center pixel.
+%
+%    o sigma: the standard deviation of the Gaussian, in pixels.
+%
+%    o angle: apply the effect along this angle.
+%
+%    o exception: return any errors or warnings in this structure.
+%
+*/
+MagickExport Image *SketchImage(const Image *image,const double radius,
+  const double sigma,const double angle,ExceptionInfo *exception)
+{
+  CacheView
+    *random_view;
+
+  Image
+    *blend_image,
+    *blur_image,
+    *dodge_image,
+    *random_image,
+    *sketch_image;
+
+  MagickBooleanType
+    status;
+
+  RandomInfo
+    **magick_restrict random_info;
+
+  ssize_t
+    y;
+
+#if defined(MAGICKCORE_OPENMP_SUPPORT)
+  unsigned long
+    key;
+#endif
+
+  /*
+    Sketch image.
+  */
+  random_image=CloneImage(image,image->columns << 1,image->rows << 1,
+    MagickTrue,exception);
+  if (random_image == (Image *) NULL)
+    return((Image *) NULL);
+  status=MagickTrue;
+  random_info=AcquireRandomInfoThreadSet();
+  random_view=AcquireAuthenticCacheView(random_image,exception);
+#if defined(MAGICKCORE_OPENMP_SUPPORT)
+  key=GetRandomSecretKey(random_info[0]);
+  #pragma omp parallel for schedule(static) shared(status) \
+    magick_number_threads(random_image,random_image,random_image->rows,key == ~0UL)
+#endif
+  for (y=0; y < (ssize_t) random_image->rows; y++)
+  {
+    const int
+      id = GetOpenMPThreadId();
+
+    register Quantum
+      *magick_restrict q;
+
+    register ssize_t
+      x;
+
+    if (status == MagickFalse)
+      continue;
+    q=QueueCacheViewAuthenticPixels(random_view,0,y,random_image->columns,1,
+      exception);
+    if (q == (Quantum *) NULL)
+      {
+        status=MagickFalse;
+        continue;
+      }
+    for (x=0; x < (ssize_t) random_image->columns; x++)
+    {
+      double
+        value;
+
+      register ssize_t
+        i;
+
+      value=GetPseudoRandomValue(random_info[id]);
+      for (i=0; i < (ssize_t) GetPixelChannels(random_image); i++)
+      {
+        PixelChannel channel = GetPixelChannelChannel(image,i);
+        PixelTrait traits = GetPixelChannelTraits(image,channel);
+        if (traits == UndefinedPixelTrait)
+          continue;
+        q[i]=ClampToQuantum(QuantumRange*value);
+      }
+      q+=GetPixelChannels(random_image);
+    }
+    if (SyncCacheViewAuthenticPixels(random_view,exception) == MagickFalse)
+      status=MagickFalse;
+  }
+  random_view=DestroyCacheView(random_view);
+  random_info=DestroyRandomInfoThreadSet(random_info);
+  if (status == MagickFalse)
+    {
+      random_image=DestroyImage(random_image);
+      return(random_image);
+    }
+  blur_image=MotionBlurImage(random_image,radius,sigma,angle,exception);
+  random_image=DestroyImage(random_image);
+  if (blur_image == (Image *) NULL)
+    return((Image *) NULL);
+  dodge_image=EdgeImage(blur_image,radius,exception);
+  blur_image=DestroyImage(blur_image);
+  if (dodge_image == (Image *) NULL)
+    return((Image *) NULL);
+  (void) NormalizeImage(dodge_image,exception);
+  (void) NegateImage(dodge_image,MagickFalse,exception);
+  (void) TransformImage(&dodge_image,(char *) NULL,"50%",exception);
+  sketch_image=CloneImage(image,0,0,MagickTrue,exception);
+  if (sketch_image == (Image *) NULL)
+    {
+      dodge_image=DestroyImage(dodge_image);
+      return((Image *) NULL);
+    }
+  (void) CompositeImage(sketch_image,dodge_image,ColorDodgeCompositeOp,
+    MagickTrue,0,0,exception);
+  dodge_image=DestroyImage(dodge_image);
+  blend_image=CloneImage(image,0,0,MagickTrue,exception);
+  if (blend_image == (Image *) NULL)
+    {
+      sketch_image=DestroyImage(sketch_image);
+      return((Image *) NULL);
+    }
+  if (blend_image->alpha_trait != BlendPixelTrait)
+    (void) SetImageAlpha(blend_image,TransparentAlpha,exception);
+  (void) SetImageArtifact(blend_image,"compose:args","20x80");
+  (void) CompositeImage(sketch_image,blend_image,BlendCompositeOp,MagickTrue,
+    0,0,exception);
+  blend_image=DestroyImage(blend_image);
+  return(sketch_image);
+}
+\f
+/*
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%     S o l a r i z e I m a g e                                               %
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+%  SolarizeImage() applies a special effect to the image, similar to the effect
+%  achieved in a photo darkroom by selectively exposing areas of photo
+%  sensitive paper to light.  Threshold ranges from 0 to QuantumRange and is a
+%  measure of the extent of the solarization.
+%
+%  The format of the SolarizeImage method is:
+%
+%      MagickBooleanType SolarizeImage(Image *image,const double threshold,
+%        ExceptionInfo *exception)
+%
+%  A description of each parameter follows:
+%
+%    o image: the image.
+%
+%    o threshold:  Define the extent of the solarization.
+%
+%    o exception: return any errors or warnings in this structure.
+%
+*/
+MagickExport MagickBooleanType SolarizeImage(Image *image,
+  const double threshold,ExceptionInfo *exception)
+{
+#define SolarizeImageTag  "Solarize/Image"
+
+  CacheView
+    *image_view;
+
+  MagickBooleanType
+    status;
+
+  MagickOffsetType
+    progress;
+
+  ssize_t
+    y;
+
+  assert(image != (Image *) NULL);
+  assert(image->signature == MagickCoreSignature);
+  if (image->debug != MagickFalse)
+    (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
+  if (IsGrayColorspace(image->colorspace) != MagickFalse)
+    (void) SetImageColorspace(image,sRGBColorspace,exception);
+  if (image->storage_class == PseudoClass)
+    {
+      register ssize_t
+        i;
+
+      /*
+        Solarize colormap.
+      */
+      for (i=0; i < (ssize_t) image->colors; i++)
+      {
+        if ((double) image->colormap[i].red > threshold)
+          image->colormap[i].red=QuantumRange-image->colormap[i].red;
+        if ((double) image->colormap[i].green > threshold)
+          image->colormap[i].green=QuantumRange-image->colormap[i].green;
+        if ((double) image->colormap[i].blue > threshold)
+          image->colormap[i].blue=QuantumRange-image->colormap[i].blue;
+      }
+    }
+  /*
+    Solarize image.
+  */
+  status=MagickTrue;
+  progress=0;
+  image_view=AcquireAuthenticCacheView(image,exception);
+#if defined(MAGICKCORE_OPENMP_SUPPORT)
+  #pragma omp parallel for schedule(static) shared(progress,status) \
+    magick_number_threads(image,image,image->rows,1)
+#endif
+  for (y=0; y < (ssize_t) image->rows; y++)
+  {
+    register ssize_t
+      x;
+
+    register Quantum
+      *magick_restrict q;
+
+    if (status == MagickFalse)
+      continue;
+    q=GetCacheViewAuthenticPixels(image_view,0,y,image->columns,1,exception);
+    if (q == (Quantum *) NULL)
+      {
+        status=MagickFalse;
+        continue;
+      }
+    for (x=0; x < (ssize_t) image->columns; x++)
+    {
+      register ssize_t
+        i;
+
+      for (i=0; i < (ssize_t) GetPixelChannels(image); i++)
+      {
+        PixelChannel channel = GetPixelChannelChannel(image,i);
+        PixelTrait traits = GetPixelChannelTraits(image,channel);
+        if ((traits & UpdatePixelTrait) == 0)
+          continue;
+        if ((double) q[i] > threshold)
+          q[i]=QuantumRange-q[i];
+      }
+      q+=GetPixelChannels(image);
+    }
+    if (SyncCacheViewAuthenticPixels(image_view,exception) == MagickFalse)
+      status=MagickFalse;
+    if (image->progress_monitor != (MagickProgressMonitor) NULL)
+      {
+        MagickBooleanType
+          proceed;
+
+#if defined(MAGICKCORE_OPENMP_SUPPORT)
+        #pragma omp critical (MagickCore_SolarizeImage)
+#endif
+        proceed=SetImageProgress(image,SolarizeImageTag,progress++,image->rows);
+        if (proceed == MagickFalse)
+          status=MagickFalse;
+      }
+  }
+  image_view=DestroyCacheView(image_view);
+  return(status);
+}
+\f
+/*
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%   S t e g a n o I m a g e                                                   %
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+%  SteganoImage() hides a digital watermark within the image.  Recover
+%  the hidden watermark later to prove that the authenticity of an image.
+%  Offset defines the start position within the image to hide the watermark.
+%
+%  The format of the SteganoImage method is:
+%
+%      Image *SteganoImage(const Image *image,Image *watermark,
+%        ExceptionInfo *exception)
+%
+%  A description of each parameter follows:
+%
+%    o image: the image.
+%
+%    o watermark: the watermark image.
+%
+%    o exception: return any errors or warnings in this structure.
+%
+*/
+MagickExport Image *SteganoImage(const Image *image,const Image *watermark,
+  ExceptionInfo *exception)
+{
+#define GetBit(alpha,i) ((((size_t) (alpha) >> (size_t) (i)) & 0x01) != 0)
+#define SetBit(alpha,i,set) (Quantum) ((set) != 0 ? (size_t) (alpha) \
+  | (one << (size_t) (i)) : (size_t) (alpha) & ~(one << (size_t) (i)))
+#define SteganoImageTag  "Stegano/Image"
+
+  CacheView
+    *stegano_view,
+    *watermark_view;
+
+  Image
+    *stegano_image;
+
+  int
+    c;
+
+  MagickBooleanType
+    status;
+
+  PixelInfo
+    pixel;
+
+  register Quantum
+    *q;
+
+  register ssize_t
+    x;
+
+  size_t
+    depth,
+    one;
+
+  ssize_t
+    i,
+    j,
+    k,
+    y;
+
+  /*
+    Initialize steganographic image attributes.
+  */
+  assert(image != (const Image *) NULL);
+  assert(image->signature == MagickCoreSignature);
+  if (image->debug != MagickFalse)
+    (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
+  assert(watermark != (const Image *) NULL);
+  assert(watermark->signature == MagickCoreSignature);
+  assert(exception != (ExceptionInfo *) NULL);
+  assert(exception->signature == MagickCoreSignature);
+  one=1UL;
+  stegano_image=CloneImage(image,0,0,MagickTrue,exception);
+  if (stegano_image == (Image *) NULL)
+    return((Image *) NULL);
+  stegano_image->depth=MAGICKCORE_QUANTUM_DEPTH;
+  if (SetImageStorageClass(stegano_image,DirectClass,exception) == MagickFalse)
+    {
+      stegano_image=DestroyImage(stegano_image);
+      return((Image *) NULL);
+    }
+  /*
+    Hide watermark in low-order bits of image.
+  */
+  c=0;
+  i=0;
+  j=0;
+  depth=stegano_image->depth;
+  k=stegano_image->offset;
+  status=MagickTrue;
+  watermark_view=AcquireVirtualCacheView(watermark,exception);
+  stegano_view=AcquireAuthenticCacheView(stegano_image,exception);
+  for (i=(ssize_t) depth-1; (i >= 0) && (j < (ssize_t) depth); i--)
+  {
+    for (y=0; (y < (ssize_t) watermark->rows) && (j < (ssize_t) depth); y++)
+    {
+      for (x=0; (x < (ssize_t) watermark->columns) && (j < (ssize_t) depth); x++)
+      {
+        ssize_t
+          offset;
+
+        (void) GetOneCacheViewVirtualPixelInfo(watermark_view,x,y,&pixel,
+          exception);
+        offset=k/(ssize_t) stegano_image->columns;
+        if (offset >= (ssize_t) stegano_image->rows)
+          break;
+        q=GetCacheViewAuthenticPixels(stegano_view,k % (ssize_t)
+          stegano_image->columns,k/(ssize_t) stegano_image->columns,1,1,
+          exception);
+        if (q == (Quantum *) NULL)
+          break;
+        switch (c)
+        {
+          case 0:
+          {
+            SetPixelRed(stegano_image,SetBit(GetPixelRed(stegano_image,q),j,
+              GetBit(GetPixelInfoIntensity(stegano_image,&pixel),i)),q);
+            break;
+          }
+          case 1:
+          {
+            SetPixelGreen(stegano_image,SetBit(GetPixelGreen(stegano_image,q),j,
+              GetBit(GetPixelInfoIntensity(stegano_image,&pixel),i)),q);
+            break;
+          }
+          case 2:
+          {
+            SetPixelBlue(stegano_image,SetBit(GetPixelBlue(stegano_image,q),j,
+              GetBit(GetPixelInfoIntensity(stegano_image,&pixel),i)),q);
+            break;
+          }
+        }
+        if (SyncCacheViewAuthenticPixels(stegano_view,exception) == MagickFalse)
+          break;
+        c++;
+        if (c == 3)
+          c=0;
+        k++;
+        if (k == (ssize_t) (stegano_image->columns*stegano_image->columns))
+          k=0;
+        if (k == stegano_image->offset)
+          j++;
+      }
+    }
+    if (image->progress_monitor != (MagickProgressMonitor) NULL)
+      {
+        MagickBooleanType
+          proceed;
+
+        proceed=SetImageProgress(image,SteganoImageTag,(MagickOffsetType)
+          (depth-i),depth);
+        if (proceed == MagickFalse)
+          status=MagickFalse;
+      }
+  }
+  stegano_view=DestroyCacheView(stegano_view);
+  watermark_view=DestroyCacheView(watermark_view);
+  if (status == MagickFalse)
+    stegano_image=DestroyImage(stegano_image);
+  return(stegano_image);
+}
+\f
+/*
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%   S t e r e o A n a g l y p h I m a g e                                     %
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+%  StereoAnaglyphImage() combines two images and produces a single image that
+%  is the composite of a left and right image of a stereo pair.  Special
+%  red-green stereo glasses are required to view this effect.
+%
+%  The format of the StereoAnaglyphImage method is:
+%
+%      Image *StereoImage(const Image *left_image,const Image *right_image,
+%        ExceptionInfo *exception)
+%      Image *StereoAnaglyphImage(const Image *left_image,
+%        const Image *right_image,const ssize_t x_offset,const ssize_t y_offset,
+%        ExceptionInfo *exception)
+%
+%  A description of each parameter follows:
+%
+%    o left_image: the left image.
+%
+%    o right_image: the right image.
+%
+%    o exception: return any errors or warnings in this structure.
+%
+%    o x_offset: amount, in pixels, by which the left image is offset to the
+%      right of the right image.
+%
+%    o y_offset: amount, in pixels, by which the left image is offset to the
+%      bottom of the right image.
+%
+%
+*/
+MagickExport Image *StereoImage(const Image *left_image,
+  const Image *right_image,ExceptionInfo *exception)
+{
+  return(StereoAnaglyphImage(left_image,right_image,0,0,exception));
+}
+
+MagickExport Image *StereoAnaglyphImage(const Image *left_image,
+  const Image *right_image,const ssize_t x_offset,const ssize_t y_offset,
+  ExceptionInfo *exception)
+{
+#define StereoImageTag  "Stereo/Image"
+
+  const Image
+    *image;
+
+  Image
+    *stereo_image;
+
+  MagickBooleanType
+    status;
+
+  ssize_t
+    y;
+
+  assert(left_image != (const Image *) NULL);
+  assert(left_image->signature == MagickCoreSignature);
+  if (left_image->debug != MagickFalse)
+    (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",
+      left_image->filename);
+  assert(right_image != (const Image *) NULL);
+  assert(right_image->signature == MagickCoreSignature);
+  assert(exception != (ExceptionInfo *) NULL);
+  assert(exception->signature == MagickCoreSignature);
+  assert(right_image != (const Image *) NULL);
+  image=left_image;
+  if ((left_image->columns != right_image->columns) ||
+      (left_image->rows != right_image->rows))
+    ThrowImageException(ImageError,"LeftAndRightImageSizesDiffer");
+  /*
+    Initialize stereo image attributes.
+  */
+  stereo_image=CloneImage(left_image,left_image->columns,left_image->rows,
+    MagickTrue,exception);
+  if (stereo_image == (Image *) NULL)
+    return((Image *) NULL);
+  if (SetImageStorageClass(stereo_image,DirectClass,exception) == MagickFalse)
+    {
+      stereo_image=DestroyImage(stereo_image);
+      return((Image *) NULL);
+    }
+  (void) SetImageColorspace(stereo_image,sRGBColorspace,exception);
+  /*
+    Copy left image to red channel and right image to blue channel.
+  */
+  status=MagickTrue;
+  for (y=0; y < (ssize_t) stereo_image->rows; y++)
+  {
+    register const Quantum
+      *magick_restrict p,
+      *magick_restrict q;
+
+    register ssize_t
+      x;
+
+    register Quantum
+      *magick_restrict r;
+
+    p=GetVirtualPixels(left_image,-x_offset,y-y_offset,image->columns,1,
+      exception);
+    q=GetVirtualPixels(right_image,0,y,right_image->columns,1,exception);
+    r=QueueAuthenticPixels(stereo_image,0,y,stereo_image->columns,1,exception);
+    if ((p == (const Quantum *) NULL) || (q == (Quantum *) NULL) ||
+        (r == (Quantum *) NULL))
+      break;
+    for (x=0; x < (ssize_t) stereo_image->columns; x++)
+    {
+      SetPixelRed(image,GetPixelRed(left_image,p),r);
+      SetPixelGreen(image,GetPixelGreen(right_image,q),r);
+      SetPixelBlue(image,GetPixelBlue(right_image,q),r);
+      if ((GetPixelAlphaTraits(stereo_image) & CopyPixelTrait) != 0)
+        SetPixelAlpha(image,(GetPixelAlpha(left_image,p)+
+          GetPixelAlpha(right_image,q))/2,r);
+      p+=GetPixelChannels(left_image);
+      q+=GetPixelChannels(right_image);
+      r+=GetPixelChannels(stereo_image);
+    }
+    if (SyncAuthenticPixels(stereo_image,exception) == MagickFalse)
+      break;
+    if (image->progress_monitor != (MagickProgressMonitor) NULL)
+      {
+        MagickBooleanType
+          proceed;
+
+        proceed=SetImageProgress(image,StereoImageTag,(MagickOffsetType) y,
+          stereo_image->rows);
+        if (proceed == MagickFalse)
+          status=MagickFalse;
+      }
+  }
+  if (status == MagickFalse)
+    stereo_image=DestroyImage(stereo_image);
+  return(stereo_image);
+}
+\f
+/*
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%     S w i r l I m a g e                                                     %
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+%  SwirlImage() swirls the pixels about the center of the image, where
+%  degrees indicates the sweep of the arc through which each pixel is moved.
+%  You get a more dramatic effect as the degrees move from 1 to 360.
+%
+%  The format of the SwirlImage method is:
+%
+%      Image *SwirlImage(const Image *image,double degrees,
+%        const PixelInterpolateMethod method,ExceptionInfo *exception)
+%
+%  A description of each parameter follows:
+%
+%    o image: the image.
+%
+%    o degrees: Define the tightness of the swirling effect.
+%
+%    o method: the pixel interpolation method.
+%
+%    o exception: return any errors or warnings in this structure.
+%
+*/
+MagickExport Image *SwirlImage(const Image *image,double degrees,
+  const PixelInterpolateMethod method,ExceptionInfo *exception)
+{
+#define SwirlImageTag  "Swirl/Image"
+
+  CacheView
+    *canvas_view,
+    *interpolate_view,
+    *swirl_view;
+
+  double
+    radius;
+
+  Image
+    *canvas,
+    *swirl_image;
+
+  MagickBooleanType
+    status;
+
+  MagickOffsetType
+    progress;
+
+  PointInfo
+    center,
+    scale;
+
+  ssize_t
+    y;
+
+  /*
+    Initialize swirl image attributes.
+  */
+  assert(image != (const Image *) NULL);
+  assert(image->signature == MagickCoreSignature);
+  if (image->debug != MagickFalse)
+    (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
+  assert(exception != (ExceptionInfo *) NULL);
+  assert(exception->signature == MagickCoreSignature);
+  canvas=CloneImage(image,0,0,MagickTrue,exception);
+  if (canvas == (Image *) NULL)
+    return((Image *) NULL);
+  if ((canvas->alpha_trait == UndefinedPixelTrait) &&
+      (canvas->background_color.alpha != OpaqueAlpha))
+    (void) SetImageAlphaChannel(canvas,OpaqueAlphaChannel,exception);
+  swirl_image=CloneImage(canvas,canvas->columns,canvas->rows,MagickTrue,
+    exception);
+  if (swirl_image == (Image *) NULL)
+    {
+      canvas=DestroyImage(canvas);
+      return((Image *) NULL);
+    }
+  if (SetImageStorageClass(swirl_image,DirectClass,exception) == MagickFalse)
+    {
+      canvas=DestroyImage(canvas);
+      swirl_image=DestroyImage(swirl_image);
+      return((Image *) NULL);
+    }
+  /*
+    Compute scaling factor.
+  */
+  center.x=(double) canvas->columns/2.0;
+  center.y=(double) canvas->rows/2.0;
+  radius=MagickMax(center.x,center.y);
+  scale.x=1.0;
+  scale.y=1.0;
+  if (canvas->columns > canvas->rows)
+    scale.y=(double) canvas->columns/(double) canvas->rows;
+  else
+    if (canvas->columns < canvas->rows)
+      scale.x=(double) canvas->rows/(double) canvas->columns;
+  degrees=(double) DegreesToRadians(degrees);
+  /*
+    Swirl image.
+  */
+  status=MagickTrue;
+  progress=0;
+  canvas_view=AcquireVirtualCacheView(canvas,exception);
+  interpolate_view=AcquireVirtualCacheView(image,exception);
+  swirl_view=AcquireAuthenticCacheView(swirl_image,exception);
+#if defined(MAGICKCORE_OPENMP_SUPPORT)
+  #pragma omp parallel for schedule(static) shared(progress,status) \
+    magick_number_threads(canvas,swirl_image,canvas->rows,1)
+#endif
+  for (y=0; y < (ssize_t) canvas->rows; y++)
+  {
+    double
+      distance;
+
+    PointInfo
+      delta;
+
+    register const Quantum
+      *magick_restrict p;
+
+    register ssize_t
+      x;
+
+    register Quantum
+      *magick_restrict q;
+
+    if (status == MagickFalse)
+      continue;
+    p=GetCacheViewVirtualPixels(canvas_view,0,y,canvas->columns,1,exception);
+    q=QueueCacheViewAuthenticPixels(swirl_view,0,y,swirl_image->columns,1,
+      exception);
+    if ((p == (const Quantum *) NULL) || (q == (Quantum *) NULL))
+      {
+        status=MagickFalse;
+        continue;
+      }
+    delta.y=scale.y*(double) (y-center.y);
+    for (x=0; x < (ssize_t) canvas->columns; x++)
+    {
+      /*
+        Determine if the pixel is within an ellipse.
+      */
+      delta.x=scale.x*(double) (x-center.x);
+      distance=delta.x*delta.x+delta.y*delta.y;
+      if ((distance >= (radius*radius)) ||
+          (GetPixelWriteMask(image,p) > (QuantumRange/2)))
+        {
+          register ssize_t
+            i;
+
+          for (i=0; i < (ssize_t) GetPixelChannels(canvas); i++)
+          {
+            PixelChannel channel = GetPixelChannelChannel(canvas,i);
+            PixelTrait traits = GetPixelChannelTraits(canvas,channel);
+            PixelTrait swirl_traits = GetPixelChannelTraits(swirl_image,
+              channel);
+            if ((traits == UndefinedPixelTrait) ||
+                (swirl_traits == UndefinedPixelTrait))
+              continue;
+            SetPixelChannel(swirl_image,channel,p[i],q);
+          }
+        }
+      else
+        {
+          double
+            cosine,
+            factor,
+            sine;
+
+          /*
+            Swirl the pixel.
+          */
+          factor=1.0-sqrt((double) distance)/radius;
+          sine=sin((double) (degrees*factor*factor));
+          cosine=cos((double) (degrees*factor*factor));
+          status=InterpolatePixelChannels(canvas,interpolate_view,swirl_image,
+            method,((cosine*delta.x-sine*delta.y)/scale.x+center.x),(double)
+            ((sine*delta.x+cosine*delta.y)/scale.y+center.y),q,exception);
+          if (status == MagickFalse)
+            break;
+        }
+      p+=GetPixelChannels(canvas);
+      q+=GetPixelChannels(swirl_image);
+    }
+    if (SyncCacheViewAuthenticPixels(swirl_view,exception) == MagickFalse)
+      status=MagickFalse;
+    if (canvas->progress_monitor != (MagickProgressMonitor) NULL)
+      {
+        MagickBooleanType
+          proceed;
+
+#if defined(MAGICKCORE_OPENMP_SUPPORT)
+        #pragma omp critical (MagickCore_SwirlImage)
+#endif
+        proceed=SetImageProgress(canvas,SwirlImageTag,progress++,canvas->rows);
+        if (proceed == MagickFalse)
+          status=MagickFalse;
+      }
+  }
+  swirl_view=DestroyCacheView(swirl_view);
+  interpolate_view=DestroyCacheView(interpolate_view);
+  canvas_view=DestroyCacheView(canvas_view);
+  canvas=DestroyImage(canvas);
+  if (status == MagickFalse)
+    swirl_image=DestroyImage(swirl_image);
+  return(swirl_image);
+}
+\f
+/*
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%     T i n t I m a g e                                                       %
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+%  TintImage() applies a color vector to each pixel in the image.  The length
+%  of the vector is 0 for black and white and at its maximum for the midtones.
+%  The vector weighting function is f(x)=(1-(4.0*((x-0.5)*(x-0.5))))
+%
+%  The format of the TintImage method is:
+%
+%      Image *TintImage(const Image *image,const char *blend,
+%        const PixelInfo *tint,ExceptionInfo *exception)
+%
+%  A description of each parameter follows:
+%
+%    o image: the image.
+%
+%    o blend: A color value used for tinting.
+%
+%    o tint: A color value used for tinting.
+%
+%    o exception: return any errors or warnings in this structure.
+%
+*/
+MagickExport Image *TintImage(const Image *image,const char *blend,
+  const PixelInfo *tint,ExceptionInfo *exception)
+{
+#define TintImageTag  "Tint/Image"
+
+  CacheView
+    *image_view,
+    *tint_view;
+
+  double
+    intensity;
+
+  GeometryInfo
+    geometry_info;
+
+  Image
+    *tint_image;
+
+  MagickBooleanType
+    status;
+
+  MagickOffsetType
+    progress;
+
+  PixelInfo
+    color_vector;
+
+  MagickStatusType
+    flags;
+
+  ssize_t
+    y;
+
+  /*
+    Allocate tint image.
+  */
+  assert(image != (const Image *) NULL);
+  assert(image->signature == MagickCoreSignature);
+  if (image->debug != MagickFalse)
+    (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
+  assert(exception != (ExceptionInfo *) NULL);
+  assert(exception->signature == MagickCoreSignature);
+  tint_image=CloneImage(image,0,0,MagickTrue,exception);
+  if (tint_image == (Image *) NULL)
+    return((Image *) NULL);
+  if (SetImageStorageClass(tint_image,DirectClass,exception) == MagickFalse)
+    {
+      tint_image=DestroyImage(tint_image);
+      return((Image *) NULL);
+    }
+  if ((IsGrayColorspace(image->colorspace) != MagickFalse) &&
+      (IsPixelInfoGray(tint) == MagickFalse))
+    (void) SetImageColorspace(tint_image,sRGBColorspace,exception);
+  if (blend == (const char *) NULL)
+    return(tint_image);
+  /*
+    Determine RGB values of the color.
+  */
+  GetPixelInfo(image,&color_vector);
+  flags=ParseGeometry(blend,&geometry_info);
+  color_vector.red=geometry_info.rho;
+  color_vector.green=geometry_info.rho;
+  color_vector.blue=geometry_info.rho;
+  color_vector.alpha=(MagickRealType) OpaqueAlpha;
+  if ((flags & SigmaValue) != 0)
+    color_vector.green=geometry_info.sigma;
+  if ((flags & XiValue) != 0)
+    color_vector.blue=geometry_info.xi;
+  if ((flags & PsiValue) != 0)
+    color_vector.alpha=geometry_info.psi;
+  if (image->colorspace == CMYKColorspace)
+    {
+      color_vector.black=geometry_info.rho;
+      if ((flags & PsiValue) != 0)
+        color_vector.black=geometry_info.psi;
+      if ((flags & ChiValue) != 0)
+        color_vector.alpha=geometry_info.chi;
+    }
+  intensity=(double) GetPixelInfoIntensity((const Image *) NULL,tint);
+  color_vector.red=(double) (color_vector.red*tint->red/100.0-intensity);
+  color_vector.green=(double) (color_vector.green*tint->green/100.0-intensity);
+  color_vector.blue=(double) (color_vector.blue*tint->blue/100.0-intensity);
+  color_vector.black=(double) (color_vector.black*tint->black/100.0-intensity);
+  color_vector.alpha=(double) (color_vector.alpha*tint->alpha/100.0-intensity);
+  /*
+    Tint image.
+  */
+  status=MagickTrue;
+  progress=0;
+  image_view=AcquireVirtualCacheView(image,exception);
+  tint_view=AcquireAuthenticCacheView(tint_image,exception);
+#if defined(MAGICKCORE_OPENMP_SUPPORT)
+  #pragma omp parallel for schedule(static) shared(progress,status) \
+    magick_number_threads(image,tint_image,image->rows,1)
+#endif
+  for (y=0; y < (ssize_t) image->rows; y++)
+  {
+    register const Quantum
+      *magick_restrict p;
+
+    register Quantum
+      *magick_restrict q;
+
+    register ssize_t
+      x;
+
+    if (status == MagickFalse)
+      continue;
+    p=GetCacheViewVirtualPixels(image_view,0,y,image->columns,1,exception);
+    q=QueueCacheViewAuthenticPixels(tint_view,0,y,tint_image->columns,1,
+      exception);
+    if ((p == (const Quantum *) NULL) || (q == (Quantum *) NULL))
+      {
+        status=MagickFalse;
+        continue;
+      }
+    for (x=0; x < (ssize_t) image->columns; x++)
+    {
+      PixelInfo
+        pixel;
+
+      double
+        weight;
+
+      GetPixelInfo(image,&pixel);
+      weight=QuantumScale*GetPixelRed(image,p)-0.5;
+      pixel.red=(MagickRealType) GetPixelRed(image,p)+color_vector.red*
+        (1.0-(4.0*(weight*weight)));
+      weight=QuantumScale*GetPixelGreen(image,p)-0.5;
+      pixel.green=(MagickRealType) GetPixelGreen(image,p)+color_vector.green*
+        (1.0-(4.0*(weight*weight)));
+      weight=QuantumScale*GetPixelBlue(image,p)-0.5;
+      pixel.blue=(MagickRealType) GetPixelBlue(image,p)+color_vector.blue*
+        (1.0-(4.0*(weight*weight)));
+      weight=QuantumScale*GetPixelBlack(image,p)-0.5;
+      pixel.black=(MagickRealType) GetPixelBlack(image,p)+color_vector.black*
+        (1.0-(4.0*(weight*weight)));
+      pixel.alpha=(MagickRealType) GetPixelAlpha(image,p);
+      SetPixelViaPixelInfo(tint_image,&pixel,q);
+      p+=GetPixelChannels(image);
+      q+=GetPixelChannels(tint_image);
+    }
+    if (SyncCacheViewAuthenticPixels(tint_view,exception) == MagickFalse)
+      status=MagickFalse;
+    if (image->progress_monitor != (MagickProgressMonitor) NULL)
+      {
+        MagickBooleanType
+          proceed;
+
+#if defined(MAGICKCORE_OPENMP_SUPPORT)
+        #pragma omp critical (MagickCore_TintImage)
+#endif
+        proceed=SetImageProgress(image,TintImageTag,progress++,image->rows);
+        if (proceed == MagickFalse)
+          status=MagickFalse;
+      }
+  }
+  tint_view=DestroyCacheView(tint_view);
+  image_view=DestroyCacheView(image_view);
+  if (status == MagickFalse)
+    tint_image=DestroyImage(tint_image);
+  return(tint_image);
+}
+\f
+/*
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%     V i g n e t t e I m a g e                                               %
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+%  VignetteImage() softens the edges of the image in vignette style.
+%
+%  The format of the VignetteImage method is:
+%
+%      Image *VignetteImage(const Image *image,const double radius,
+%        const double sigma,const ssize_t x,const ssize_t y,
+%        ExceptionInfo *exception)
+%
+%  A description of each parameter follows:
+%
+%    o image: the image.
+%
+%    o radius: the radius of the pixel neighborhood.
+%
+%    o sigma: the standard deviation of the Gaussian, in pixels.
+%
+%    o x, y:  Define the x and y ellipse offset.
+%
+%    o exception: return any errors or warnings in this structure.
+%
+*/
+MagickExport Image *VignetteImage(const Image *image,const double radius,
+  const double sigma,const ssize_t x,const ssize_t y,ExceptionInfo *exception)
+{
+  char
+    ellipse[MagickPathExtent];
+
+  DrawInfo
+    *draw_info;
+
+  Image
+    *canvas,
+    *blur_image,
+    *oval_image,
+    *vignette_image;
+
+  assert(image != (Image *) NULL);
+  assert(image->signature == MagickCoreSignature);
+  if (image->debug != MagickFalse)
+    (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
+  assert(exception != (ExceptionInfo *) NULL);
+  assert(exception->signature == MagickCoreSignature);
+  canvas=CloneImage(image,0,0,MagickTrue,exception);
+  if (canvas == (Image *) NULL)
+    return((Image *) NULL);
+  if (SetImageStorageClass(canvas,DirectClass,exception) == MagickFalse)
+    {
+      canvas=DestroyImage(canvas);
+      return((Image *) NULL);
+    }
+  canvas->alpha_trait=BlendPixelTrait;
+  oval_image=CloneImage(canvas,canvas->columns,canvas->rows,MagickTrue,
+    exception);
+  if (oval_image == (Image *) NULL)
+    {
+      canvas=DestroyImage(canvas);
+      return((Image *) NULL);
+    }
+  (void) QueryColorCompliance("#000000",AllCompliance,
+    &oval_image->background_color,exception);
+  (void) SetImageBackgroundColor(oval_image,exception);
+  draw_info=CloneDrawInfo((const ImageInfo *) NULL,(const DrawInfo *) NULL);
+  (void) QueryColorCompliance("#ffffff",AllCompliance,&draw_info->fill,
+    exception);
+  (void) QueryColorCompliance("#ffffff",AllCompliance,&draw_info->stroke,
+    exception);
+  (void) FormatLocaleString(ellipse,MagickPathExtent,"ellipse %g,%g,%g,%g,"
+    "0.0,360.0",image->columns/2.0,image->rows/2.0,image->columns/2.0-x,
+    image->rows/2.0-y);
+  draw_info->primitive=AcquireString(ellipse);
+  (void) DrawImage(oval_image,draw_info,exception);
+  draw_info=DestroyDrawInfo(draw_info);
+  blur_image=BlurImage(oval_image,radius,sigma,exception);
+  oval_image=DestroyImage(oval_image);
+  if (blur_image == (Image *) NULL)
+    {
+      canvas=DestroyImage(canvas);
+      return((Image *) NULL);
+    }
+  blur_image->alpha_trait=UndefinedPixelTrait;
+  (void) CompositeImage(canvas,blur_image,IntensityCompositeOp,MagickTrue,
+    0,0,exception);
+  blur_image=DestroyImage(blur_image);
+  vignette_image=MergeImageLayers(canvas,FlattenLayer,exception);
+  canvas=DestroyImage(canvas);
+  if (vignette_image != (Image *) NULL)
+    (void) TransformImageColorspace(vignette_image,image->colorspace,exception);
+  return(vignette_image);
+}
+\f
+/*
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%     W a v e I m a g e                                                       %
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+%  WaveImage() creates a "ripple" effect in the image by shifting the pixels
+%  vertically along a sine wave whose amplitude and wavelength is specified
+%  by the given parameters.
+%
+%  The format of the WaveImage method is:
+%
+%      Image *WaveImage(const Image *image,const double amplitude,
+%        const double wave_length,const PixelInterpolateMethod method,
+%        ExceptionInfo *exception)
+%
+%  A description of each parameter follows:
+%
+%    o image: the image.
+%
+%    o amplitude, wave_length:  Define the amplitude and wave length of the
+%      sine wave.
+%
+%    o interpolate: the pixel interpolation method.
+%
+%    o exception: return any errors or warnings in this structure.
+%
+*/
+MagickExport Image *WaveImage(const Image *image,const double amplitude,
+  const double wave_length,const PixelInterpolateMethod method,
+  ExceptionInfo *exception)
+{
+#define WaveImageTag  "Wave/Image"
+
+  CacheView
+    *canvas_view,
+    *wave_view;
+
+  Image
+    *canvas,
+    *wave_image;
+
+  MagickBooleanType
+    status;
+
+  MagickOffsetType
+    progress;
+
+  double
+    *sine_map;
+
+  register ssize_t
+    i;
+
+  ssize_t
+    y;
+
+  /*
+    Initialize wave image attributes.
+  */
+  assert(image != (Image *) NULL);
+  assert(image->signature == MagickCoreSignature);
+  if (image->debug != MagickFalse)
+    (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
+  assert(exception != (ExceptionInfo *) NULL);
+  assert(exception->signature == MagickCoreSignature);
+  canvas=CloneImage(image,0,0,MagickTrue,exception);
+  if (canvas == (Image *) NULL)
+    return((Image *) NULL);
+  if ((canvas->alpha_trait == UndefinedPixelTrait) &&
+      (canvas->background_color.alpha != OpaqueAlpha))
+    (void) SetImageAlpha(canvas,OpaqueAlpha,exception);
+  wave_image=CloneImage(canvas,canvas->columns,(size_t) (canvas->rows+2.0*
+    fabs(amplitude)),MagickTrue,exception);
+  if (wave_image == (Image *) NULL)
+    {
+      canvas=DestroyImage(canvas);
+      return((Image *) NULL);
+    }
+  if (SetImageStorageClass(wave_image,DirectClass,exception) == MagickFalse)
+    {
+      canvas=DestroyImage(canvas);
+      wave_image=DestroyImage(wave_image);
+      return((Image *) NULL);
+    }
+  /*
+    Allocate sine map.
+  */
+  sine_map=(double *) AcquireQuantumMemory((size_t) wave_image->columns,
+    sizeof(*sine_map));
+  if (sine_map == (double *) NULL)
+    {
+      canvas=DestroyImage(canvas);
+      wave_image=DestroyImage(wave_image);
+      ThrowImageException(ResourceLimitError,"MemoryAllocationFailed");
+    }
+  for (i=0; i < (ssize_t) wave_image->columns; i++)
+    sine_map[i]=fabs(amplitude)+amplitude*sin((double) ((2.0*MagickPI*i)/
+      wave_length));
+  /*
+    Wave image.
+  */
+  status=MagickTrue;
+  progress=0;
+  canvas_view=AcquireVirtualCacheView(canvas,exception);
+  wave_view=AcquireAuthenticCacheView(wave_image,exception);
+  (void) SetCacheViewVirtualPixelMethod(canvas_view,
+    BackgroundVirtualPixelMethod);
+#if defined(MAGICKCORE_OPENMP_SUPPORT)
+  #pragma omp parallel for schedule(static) shared(progress,status) \
+    magick_number_threads(canvas,wave_image,wave_image->rows,1)
+#endif
+  for (y=0; y < (ssize_t) wave_image->rows; y++)
+  {
+    register Quantum
+      *magick_restrict q;
+
+    register ssize_t
+      x;
+
+    if (status == MagickFalse)
+      continue;
+    q=QueueCacheViewAuthenticPixels(wave_view,0,y,wave_image->columns,1,
+      exception);
+    if (q == (Quantum *) NULL)
+      {
+        status=MagickFalse;
+        continue;
+      }
+    for (x=0; x < (ssize_t) wave_image->columns; x++)
+    {
+      status=InterpolatePixelChannels(canvas,canvas_view,wave_image,method,
+        (double) x,(double) (y-sine_map[x]),q,exception);
+      if (status == MagickFalse)
+        break;
+      q+=GetPixelChannels(wave_image);
+    }
+    if (SyncCacheViewAuthenticPixels(wave_view,exception) == MagickFalse)
+      status=MagickFalse;
+    if (image->progress_monitor != (MagickProgressMonitor) NULL)
+      {
+        MagickBooleanType
+          proceed;
+
+#if defined(MAGICKCORE_OPENMP_SUPPORT)
+        #pragma omp critical (MagickCore_WaveImage)
+#endif
+        proceed=SetImageProgress(canvas,WaveImageTag,progress++,canvas->rows);
+        if (proceed == MagickFalse)
+          status=MagickFalse;
+      }
+  }
+  wave_view=DestroyCacheView(wave_view);
+  canvas_view=DestroyCacheView(canvas_view);
+  canvas=DestroyImage(canvas);
+  sine_map=(double *) RelinquishMagickMemory(sine_map);
+  if (status == MagickFalse)
+    wave_image=DestroyImage(wave_image);
+  return(wave_image);
+}
+\f
+/*
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%     W a v e l e t D e n o i s e I m a g e                                   %
+%                                                                             %
+%                                                                             %
+%                                                                             %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+%  WaveletDenoiseImage() removes noise from the image using a wavelet
+%  transform.  The wavelet transform is a fast hierarchical scheme for
+%  processing an image using a set of consecutive lowpass and high_pass filters,
+%  followed by a decimation.  This results in a decomposition into different
+%  scales which can be regarded as different “frequency bands”, determined by
+%  the mother wavelet.  Adapted from dcraw.c by David Coffin.
+%
+%  The format of the WaveletDenoiseImage method is:
+%
+%      Image *WaveletDenoiseImage(const Image *image,const double threshold,
+%        const double softness,ExceptionInfo *exception)
+%
+%  A description of each parameter follows:
+%
+%    o image: the image.
+%
+%    o threshold: set the threshold for smoothing.
+%
+%    o softness: attenuate the smoothing threshold.
+%
+%    o exception: return any errors or warnings in this structure.
+%
+*/
+
+static inline void HatTransform(const float *magick_restrict pixels,
+  const size_t stride,const size_t extent,const size_t scale,float *kernel)
+{
+  const float
+    *magick_restrict p,
+    *magick_restrict q,
+    *magick_restrict r;
+
+  register ssize_t
+    i;
+
+  p=pixels;
+  q=pixels+scale*stride;
+  r=pixels+scale*stride;
+  for (i=0; i < (ssize_t) scale; i++)
+  {
+    kernel[i]=0.25f*(*p+(*p)+(*q)+(*r));
+    p+=stride;
+    q-=stride;
+    r+=stride;
+  }
+  for ( ; i < (ssize_t) (extent-scale); i++)
+  {
+    kernel[i]=0.25f*(2.0f*(*p)+*(p-scale*stride)+*(p+scale*stride));
+    p+=stride;
+  }
+  q=p-scale*stride;
+  r=pixels+stride*(extent-2);
+  for ( ; i < (ssize_t) extent; i++)
+  {
+    kernel[i]=0.25f*(*p+(*p)+(*q)+(*r));
+    p+=stride;
+    q+=stride;
+    r-=stride;
+  }
+}
+
+MagickExport Image *WaveletDenoiseImage(const Image *image,
+  const double threshold,const double softness,ExceptionInfo *exception)
+{
+  CacheView
+    *image_view,
+    *noise_view;
+
+  float
+    *kernel,
+    *pixels;
+
+  Image
+    *noise_image;
+
+  MagickBooleanType
+    status;
+
+  MagickSizeType
+    number_pixels;
+
+  MemoryInfo
+    *pixels_info;
+
+  ssize_t
+    channel;
+
+  static const float
+    noise_levels[] = { 0.8002f, 0.2735f, 0.1202f, 0.0585f, 0.0291f, 0.0152f,
+      0.0080f, 0.0044f };
+
+  /*
+    Initialize noise image attributes.
+  */
+  assert(image != (const Image *) NULL);
+  assert(image->signature == MagickCoreSignature);
+  if (image->debug != MagickFalse)
+    (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
+  assert(exception != (ExceptionInfo *) NULL);
+  assert(exception->signature == MagickCoreSignature);
+#if defined(MAGICKCORE_OPENCL_SUPPORT)
+  noise_image=AccelerateWaveletDenoiseImage(image,threshold,exception);
+  if (noise_image != (Image *) NULL)
+    return(noise_image);
+#endif
+  noise_image=CloneImage(image,0,0,MagickTrue,exception);
+  if (noise_image == (Image *) NULL)
+    return((Image *) NULL);
+  if (SetImageStorageClass(noise_image,DirectClass,exception) == MagickFalse)
+    {
+      noise_image=DestroyImage(noise_image);
+      return((Image *) NULL);
+    }
+  if (AcquireMagickResource(WidthResource,4*image->columns) == MagickFalse)
+    ThrowImageException(ResourceLimitError,"MemoryAllocationFailed");
+  pixels_info=AcquireVirtualMemory(3*image->columns,image->rows*
+    sizeof(*pixels));
+  kernel=(float *) AcquireQuantumMemory(MagickMax(image->rows,image->columns)+1,
+    GetOpenMPMaximumThreads()*sizeof(*kernel));
+  if ((pixels_info == (MemoryInfo *) NULL) || (kernel == (float *) NULL))
+    {
+      if (kernel != (float *) NULL)
+        kernel=(float *) RelinquishMagickMemory(kernel);
+      if (pixels_info != (MemoryInfo *) NULL)
+        pixels_info=RelinquishVirtualMemory(pixels_info);
+      ThrowImageException(ResourceLimitError,"MemoryAllocationFailed");
+    }
+  pixels=(float *) GetVirtualMemoryBlob(pixels_info);
+  status=MagickTrue;
+  number_pixels=(MagickSizeType) image->columns*image->rows;
+  image_view=AcquireAuthenticCacheView(image,exception);
+  noise_view=AcquireAuthenticCacheView(noise_image,exception);
+  for (channel=0; channel < (ssize_t) GetPixelChannels(image); channel++)
+  {
+    register ssize_t
+      i;
+
+    size_t
+      high_pass,
+      low_pass;
+
+    ssize_t
+      level,
+      y;
+
+    PixelChannel
+      pixel_channel;
+
+    PixelTrait
+      traits;
+
+    if (status == MagickFalse)
+      continue;
+    traits=GetPixelChannelTraits(image,(PixelChannel) channel);
+    if (traits == UndefinedPixelTrait)
+      continue;
+    pixel_channel=GetPixelChannelChannel(image,channel);
+    if ((pixel_channel != RedPixelChannel) &&
+        (pixel_channel != GreenPixelChannel) &&
+        (pixel_channel != BluePixelChannel))
+      continue;
+    /*
+      Copy channel from image to wavelet pixel array.
+    */
+    i=0;
+    for (y=0; y < (ssize_t) image->rows; y++)
+    {
+      register const Quantum
+        *magick_restrict p;
+
+      ssize_t
+        x;
+
+      p=GetCacheViewAuthenticPixels(image_view,0,y,image->columns,1,exception);
+      if (p == (const Quantum *) NULL)
+        {
+          status=MagickFalse;
+          break;
+        }
+      for (x=0; x < (ssize_t) image->columns; x++)
+      {
+        pixels[i++]=(float) p[channel];
+        p+=GetPixelChannels(image);
+      }
+    }
+    /*
+      Low pass filter outputs are called approximation kernel & high pass
+      filters are referred to as detail kernel. The detail kernel
+      have high values in the noisy parts of the signal.
+    */
+    high_pass=0;
+    for (level=0; level < 5; level++)
+    {
+      double
+        magnitude;
+
+      ssize_t
+        x,
+        y;
+
+      low_pass=(size_t) (number_pixels*((level & 0x01)+1));
+#if defined(MAGICKCORE_OPENMP_SUPPORT)
+      #pragma omp parallel for schedule(static,1) \
+        magick_number_threads(image,image,image->rows,1)
+#endif
+      for (y=0; y < (ssize_t) image->rows; y++)
+      {
+        const int
+          id = GetOpenMPThreadId();
+
+        register float
+          *magick_restrict p,
+          *magick_restrict q;
+
+        register ssize_t
+          x;
+
+        p=kernel+id*image->columns;
+        q=pixels+y*image->columns;
+        HatTransform(q+high_pass,1,image->columns,(size_t) (1UL << level),p);
+        q+=low_pass;
+        for (x=0; x < (ssize_t) image->columns; x++)
+          *q++=(*p++);
+      }
+#if defined(MAGICKCORE_OPENMP_SUPPORT)
+      #pragma omp parallel for schedule(static,1) \
+        magick_number_threads(image,image,image->columns,1)
+#endif
+      for (x=0; x < (ssize_t) image->columns; x++)
+      {
+        const int
+          id = GetOpenMPThreadId();
+
+        register float
+          *magick_restrict p,
+          *magick_restrict q;
+
+        register ssize_t
+          y;
+
+        p=kernel+id*image->rows;
+        q=pixels+x+low_pass;
+        HatTransform(q,image->columns,image->rows,(size_t) (1UL << level),p);
+        for (y=0; y < (ssize_t) image->rows; y++)
+        {
+          *q=(*p++);
+          q+=image->columns;
+        }
+      }
+      /*
+        To threshold, each coefficient is compared to a threshold value and
+        attenuated / shrunk by some factor.
+      */
+      magnitude=threshold*noise_levels[level];
+      for (i=0; i < (ssize_t) number_pixels; ++i)
+      {
+        pixels[high_pass+i]-=pixels[low_pass+i];
+        if (pixels[high_pass+i] < -magnitude)
+          pixels[high_pass+i]+=magnitude-softness*magnitude;
+        else
+          if (pixels[high_pass+i] > magnitude)
+            pixels[high_pass+i]-=magnitude-softness*magnitude;
+          else
+            pixels[high_pass+i]*=softness;
+        if (high_pass != 0)
+          pixels[i]+=pixels[high_pass+i];
+      }
+      high_pass=low_pass;
+    }
+    /*
+      Reconstruct image from the thresholded wavelet kernel.
+    */
+    i=0;
+    for (y=0; y < (ssize_t) image->rows; y++)
+    {
+      MagickBooleanType
+        sync;
+
+      register Quantum
+        *magick_restrict q;
+
+      register ssize_t
+        x;
+
+      ssize_t
+        offset;
+
+      q=GetCacheViewAuthenticPixels(noise_view,0,y,noise_image->columns,1,
+        exception);
+      if (q == (Quantum *) NULL)
+        {
+          status=MagickFalse;
+          break;
+        }
+      offset=GetPixelChannelOffset(noise_image,pixel_channel);
+      for (x=0; x < (ssize_t) image->columns; x++)
+      {
+        MagickRealType
+          pixel;
+
+        pixel=(MagickRealType) pixels[i]+pixels[low_pass+i];
+        q[offset]=ClampToQuantum(pixel);
+        i++;
+        q+=GetPixelChannels(noise_image);
+      }
+      sync=SyncCacheViewAuthenticPixels(noise_view,exception);
+      if (sync == MagickFalse)
+        status=MagickFalse;
+    }
+    if (image->progress_monitor != (MagickProgressMonitor) NULL)
+      {
+        MagickBooleanType
+          proceed;
+
+        proceed=SetImageProgress(image,AddNoiseImageTag,(MagickOffsetType)
+          channel,GetPixelChannels(image));
+        if (proceed == MagickFalse)
+          status=MagickFalse;
+      }
+  }
+  noise_view=DestroyCacheView(noise_view);
+  image_view=DestroyCacheView(image_view);
+  kernel=(float *) RelinquishMagickMemory(kernel);
+  pixels_info=RelinquishVirtualMemory(pixels_info);
+  if (status == MagickFalse)
+    noise_image=DestroyImage(noise_image);
+  return(noise_image);
+}