MagickExport size_t GetOptimalKernelWidth2D(const double radius,
  const double sigma)
{
  double
    alpha,
    beta,
    gamma,
    normalize,
    value;

  size_t
    width;

  ssize_t
    j,
    u,
    v;

  (void) LogMagickEvent(TraceEvent,GetMagickModule(),"...");
  if (radius > MagickEpsilon)
    return((size_t) (2.0*ceil(radius)+1.0));
  gamma=fabs(sigma);
  if (gamma <= MagickEpsilon)
    return(3UL);
  alpha=PerceptibleReciprocal(2.0*gamma*gamma);
  beta=(double) PerceptibleReciprocal(Magick2PI*gamma*gamma);
  for (width=5; ; )
  {
    normalize=0.0;
    j=(ssize_t) width/2;
    for (v=(-j); v <= j; v++)
      for (u=(-j); u <= j; u++)
        normalize+=exp(-((double) (u*u+v*v))*alpha)*beta;
    value=exp(-((double) (j*j))*alpha)*beta/normalize;
    if ((value < QuantumScale) || (value < MagickEpsilon))
      break;
    width+=2;
  }
  return((size_t) (width-2));
}
Пример #2
0
/*
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                                                                             %
%                                                                             %
%                                                                             %
%   G e t O p t i m a l K e r n e l W i d t h                                 %
%                                                                             %
%                                                                             %
%                                                                             %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%  GetOptimalKernelWidth() computes the optimal kernel radius for a convolution
%  filter.  Start with the minimum value of 3 pixels and walk out until we drop
%  below the threshold of one pixel numerical accuracy.
%
%  The format of the GetOptimalKernelWidth method is:
%
%      size_t GetOptimalKernelWidth(const double radius,
%        const double sigma)
%
%  A description of each parameter follows:
%
%    o width: Method GetOptimalKernelWidth returns the optimal width of
%      a convolution kernel.
%
%    o radius: the radius of the Gaussian, in pixels, not counting the center
%      pixel.
%
%    o sigma: the standard deviation of the Gaussian, in pixels.
%
*/
MagickPrivate size_t GetOptimalKernelWidth1D(const double radius,
  const double sigma)
{
  double
    alpha,
    beta,
    gamma,
    normalize,
    value;

  register ssize_t
    i;

  size_t
    width;

  ssize_t
    j;

  (void) LogMagickEvent(TraceEvent,GetMagickModule(),"...");
  if (radius > MagickEpsilon)
    return((size_t) (2.0*ceil(radius)+1.0));
  gamma=fabs(sigma);
  if (gamma <= MagickEpsilon)
    return(3UL);
  alpha=PerceptibleReciprocal(2.0*gamma*gamma);
  beta=(double) PerceptibleReciprocal((double) MagickSQ2PI*gamma);
  for (width=5; ; )
  {
    normalize=0.0;
    j=(ssize_t) (width-1)/2;
    for (i=(-j); i <= j; i++)
      normalize+=exp(-((double) (i*i))*alpha)*beta;
    value=exp(-((double) (j*j))*alpha)*beta/normalize;
    if ((value < QuantumScale) || (value < MagickEpsilon))
      break;
    width+=2;
  }
  return((size_t) (width-2));
}
Пример #3
0
/*
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                                                                             %
%                                                                             %
%                                                                             %
%   S e t I m a g e A l p h a C h a n n e l                                   %
%                                                                             %
%                                                                             %
%                                                                             %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%  SetImageAlphaChannel() activates, deactivates, resets, or sets the alpha
%  channel.
%
%  The format of the SetImageAlphaChannel method is:
%
%      MagickBooleanType SetImageAlphaChannel(Image *image,
%        const AlphaChannelType alpha_type)
%
%  A description of each parameter follows:
%
%    o image: the image.
%
%    o alpha_type:  The alpha channel type: ActivateAlphaChannel,
%      CopyAlphaChannel, DeactivateAlphaChannel, ExtractAlphaChannel,
%      OpaqueAlphaChannel, ResetAlphaChannel, SetAlphaChannel,
%      ShapeAlphaChannel, and TransparentAlphaChannel.
%
*/
MagickExport MagickBooleanType SetImageAlphaChannel(Image *image,
  const AlphaChannelType alpha_type)
{
  MagickBooleanType
    status;

  assert(image != (Image *) NULL);
  if (image->debug != MagickFalse)
    (void) LogMagickEvent(TraceEvent,GetMagickModule(),"...");
  assert(image->signature == MagickSignature);
  status=MagickTrue;
  switch (alpha_type)
  {
    case ActivateAlphaChannel:
    {
      image->matte=MagickTrue;
      break;
    }
    case BackgroundAlphaChannel:
    {
      CacheView
        *image_view;

      ExceptionInfo
        *exception;

      IndexPacket
        index;

      MagickBooleanType
        status;

      MagickPixelPacket
        background;

      PixelPacket
        pixel;

      ssize_t
        y;

      /*
        Set transparent pixels to background color.
      */
      if (image->matte == MagickFalse)
        break;
      if (SetImageStorageClass(image,DirectClass) == MagickFalse)
        break;
      GetMagickPixelPacket(image,&background);
      SetMagickPixelPacket(image,&image->background_color,(const IndexPacket *)
        NULL,&background);
      if (image->colorspace == CMYKColorspace)
        ConvertRGBToCMYK(&background);
      index=0;
      SetPixelPacket(image,&background,&pixel,&index);
      status=MagickTrue;
      exception=(&image->exception);
      image_view=AcquireAuthenticCacheView(image,exception);
      #if defined(MAGICKCORE_OPENMP_SUPPORT)
        #pragma omp parallel for schedule(static,4) shared(status) \
          magick_threads(image,image,image->rows,1)
      #endif
      for (y=0; y < (ssize_t) image->rows; y++)
      {
        register IndexPacket
          *restrict indexes;

        register PixelPacket
          *restrict q;

        register ssize_t
          x;

        if (status == MagickFalse)
          continue;
        q=GetCacheViewAuthenticPixels(image_view,0,y,image->columns,1,
          exception);
        if (q == (PixelPacket *) NULL)
          {
            status=MagickFalse;
            continue;
          }
        for (x=0; x < (ssize_t) image->columns; x++)
        {
          if (q->opacity == TransparentOpacity)
            {
              SetPixelRed(q,pixel.red);
              SetPixelGreen(q,pixel.green);
              SetPixelBlue(q,pixel.blue);
            }
          q++;
        }
        if (image->colorspace == CMYKColorspace)
          {
            indexes=GetCacheViewAuthenticIndexQueue(image_view);
            for (x=0; x < (ssize_t) image->columns; x++)
              SetPixelIndex(indexes+x,index);
          }
        if (SyncCacheViewAuthenticPixels(image_view,exception) == MagickFalse)
          status=MagickFalse;
      }
      image_view=DestroyCacheView(image_view);
      return(status);
    }
    case CopyAlphaChannel:
    case ShapeAlphaChannel:
    {
      /*
        Special usage case for SeparateImageChannel(): copy grayscale color to
        the alpha channel.
      */
      status=SeparateImageChannel(image,GrayChannels);
      image->matte=MagickTrue; /* make sure transparency is now on! */
      if (alpha_type == ShapeAlphaChannel)
        {
          MagickPixelPacket
            background;

          /*
            Reset all color channels to background color.
          */
          GetMagickPixelPacket(image,&background);
          SetMagickPixelPacket(image,&(image->background_color),(IndexPacket *)
            NULL,&background);
          (void) LevelColorsImage(image,&background,&background,MagickTrue);
        }
      break;
    }
    case DeactivateAlphaChannel:
    {
      image->matte=MagickFalse;
      break;
    }
    case ExtractAlphaChannel:
    {
      status=SeparateImageChannel(image,TrueAlphaChannel);
      image->matte=MagickFalse;
      break;
    }
    case RemoveAlphaChannel:
    case FlattenAlphaChannel:
    {
      CacheView
        *image_view;

      ExceptionInfo
        *exception;

      IndexPacket
        index;

      MagickBooleanType
        status;

      MagickPixelPacket
        background;

      PixelPacket
        pixel;

      ssize_t
        y;

      /*
        Flatten image pixels over the background pixels.
      */
      if (image->matte == MagickFalse)
        break;
      if (SetImageStorageClass(image,DirectClass) == MagickFalse)
        break;
      GetMagickPixelPacket(image,&background);
      SetMagickPixelPacket(image,&image->background_color,(const IndexPacket *)
        NULL,&background);
      if (image->colorspace == CMYKColorspace)
        ConvertRGBToCMYK(&background);
      index=0;
      SetPixelPacket(image,&background,&pixel,&index);
      status=MagickTrue;
      exception=(&image->exception);
      image_view=AcquireAuthenticCacheView(image,exception);
      #if defined(MAGICKCORE_OPENMP_SUPPORT)
        #pragma omp parallel for schedule(static,4) shared(status) \
          magick_threads(image,image,image->rows,1)
      #endif
      for (y=0; y < (ssize_t) image->rows; y++)
      {
        register IndexPacket
          *restrict indexes;

        register PixelPacket
          *restrict q;

        register ssize_t
          x;

        if (status == MagickFalse)
          continue;
        q=GetCacheViewAuthenticPixels(image_view,0,y,image->columns,1,
          exception);
        if (q == (PixelPacket *) NULL)
          {
            status=MagickFalse;
            continue;
          }
        for (x=0; x < (ssize_t) image->columns; x++)
        {
          double
            gamma,
            opacity;

          gamma=1.0-QuantumScale*QuantumScale*q->opacity*pixel.opacity;
          opacity=(double) QuantumRange*(1.0-gamma);
          gamma=PerceptibleReciprocal(gamma);
          q->red=ClampToQuantum(gamma*MagickOver_((MagickRealType) q->red,
            (MagickRealType) q->opacity,(MagickRealType) pixel.red,
            (MagickRealType) pixel.opacity));
          q->green=ClampToQuantum(gamma*MagickOver_((MagickRealType) q->green,
            (MagickRealType) q->opacity,(MagickRealType) pixel.green,
            (MagickRealType) pixel.opacity));
          q->blue=ClampToQuantum(gamma*MagickOver_((MagickRealType) q->blue,
            (MagickRealType) q->opacity,(MagickRealType) pixel.blue,
            (MagickRealType) pixel.opacity));
          q->opacity=ClampToQuantum(opacity);
          q++;
        }
        if (image->colorspace == CMYKColorspace)
          {
            indexes=GetCacheViewAuthenticIndexQueue(image_view);
            for (x=0; x < (ssize_t) image->columns; x++)
              SetPixelIndex(indexes+x,index);
          }
        if (SyncCacheViewAuthenticPixels(image_view,exception) == MagickFalse)
          status=MagickFalse;
      }
      image_view=DestroyCacheView(image_view);
      return(status);
    }
    case ResetAlphaChannel: /* deprecated */
    case OpaqueAlphaChannel:
    {
      status=SetImageOpacity(image,OpaqueOpacity);
      break;
    }
    case SetAlphaChannel:
    {
      if (image->matte == MagickFalse)
        status=SetImageOpacity(image,OpaqueOpacity);
      break;
    }
    case TransparentAlphaChannel:
    {
      status=SetImageOpacity(image,TransparentOpacity);
      break;
    }
    case UndefinedAlphaChannel:
      break;
  }
  if (status == MagickFalse)
    return(status);
  return(SyncImagePixelCache(image,&image->exception));
}
Пример #4
0
MagickExport MagickBooleanType SetImageAlphaChannel(Image *image,
  const AlphaChannelOption alpha_type,ExceptionInfo *exception)
{
  CacheView
    *image_view;

  MagickBooleanType
    status;

  ssize_t
    y;

  assert(image != (Image *) NULL);
  if (image->debug != MagickFalse)
    (void) LogMagickEvent(TraceEvent,GetMagickModule(),"...");
  assert(image->signature == MagickSignature);
  status=MagickTrue;
  switch (alpha_type)
  {
    case ActivateAlphaChannel:
    {
      image->alpha_trait=BlendPixelTrait;
      break;
    }
    case AssociateAlphaChannel:
    {
      /*
        Associate alpha.
      */
      status=SetImageStorageClass(image,DirectClass,exception);
      if (status == MagickFalse)
        break;
      image_view=AcquireAuthenticCacheView(image,exception);
#if defined(MAGICKCORE_OPENMP_SUPPORT)
      #pragma omp parallel for schedule(static,4) shared(status) \
        magick_threads(image,image,image->rows,1)
#endif
      for (y=0; y < (ssize_t) image->rows; y++)
      {
        register Quantum
          *restrict q;

        register ssize_t
          x;

        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++)
        {
          double
            Sa;
  
          register ssize_t
            i;
  
          if (GetPixelReadMask(image,q) == 0)
            {
              q+=GetPixelChannels(image);
              continue;
            }
          Sa=QuantumScale*GetPixelAlpha(image,q);
          for (i=0; i < (ssize_t) GetPixelChannels(image); i++)
          {
            PixelChannel channel=GetPixelChannelChannel(image,i);
            PixelTrait traits=GetPixelChannelTraits(image,channel);
            if ((traits & UpdatePixelTrait) == 0)
              continue;
            q[i]=ClampToQuantum(Sa*q[i]);
          }
          q+=GetPixelChannels(image);
        }
        if (SyncCacheViewAuthenticPixels(image_view,exception) == MagickFalse)
          status=MagickFalse;
      }
      image_view=DestroyCacheView(image_view);
      image->alpha_trait=CopyPixelTrait;
      return(status);
    }
    case BackgroundAlphaChannel:
    {
      /*
        Set transparent pixels to background color.
      */
      if (image->alpha_trait != BlendPixelTrait)
        break;
      status=SetImageStorageClass(image,DirectClass,exception);
      if (status == MagickFalse)
        break;
      image_view=AcquireAuthenticCacheView(image,exception);
#if defined(MAGICKCORE_OPENMP_SUPPORT)
      #pragma omp parallel for schedule(static,4) shared(status) \
        magick_threads(image,image,image->rows,1)
#endif
      for (y=0; y < (ssize_t) image->rows; y++)
      {
        register Quantum
          *restrict q;

        register ssize_t
          x;

        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++)
        {
          if (GetPixelAlpha(image,q) == TransparentAlpha)
            {
              SetPixelInfoPixel(image,&image->background_color,q);
              SetPixelChannel(image,AlphaPixelChannel,TransparentAlpha,q);
            }
          q+=GetPixelChannels(image);
        }
        if (SyncCacheViewAuthenticPixels(image_view,exception) == MagickFalse)
          status=MagickFalse;
      }
      image_view=DestroyCacheView(image_view);
      return(status);
    }
    case CopyAlphaChannel:
    case ShapeAlphaChannel:
    {
      /*
        Copy pixel intensity to the alpha channel.
      */
      status=CompositeImage(image,image,IntensityCompositeOp,MagickTrue,0,0,
        exception);
      if (alpha_type == ShapeAlphaChannel)
        (void) LevelImageColors(image,&image->background_color,
          &image->background_color,MagickTrue,exception);
      break;
    }
    case DeactivateAlphaChannel:
    {
      image->alpha_trait=CopyPixelTrait;
      break;
    }
    case DisassociateAlphaChannel:
    {
      /*
        Disassociate alpha.
      */
      status=SetImageStorageClass(image,DirectClass,exception);
      if (status == MagickFalse)
        break;
      image->alpha_trait=BlendPixelTrait;
      image_view=AcquireAuthenticCacheView(image,exception);
#if defined(MAGICKCORE_OPENMP_SUPPORT)
      #pragma omp parallel for schedule(static,4) shared(status) \
        magick_threads(image,image,image->rows,1)
#endif
      for (y=0; y < (ssize_t) image->rows; y++)
      {
        register Quantum
          *restrict q;

        register ssize_t
          x;

        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++)
        {
          double
            gamma, 
            Sa;

          register ssize_t
            i;

          if (GetPixelReadMask(image,q) == 0)
            {
              q+=GetPixelChannels(image);
              continue;
            }
          Sa=QuantumScale*GetPixelAlpha(image,q);
          gamma=PerceptibleReciprocal(Sa);
          for (i=0; i < (ssize_t) GetPixelChannels(image); i++)
          {
            PixelChannel channel=GetPixelChannelChannel(image,i);
            PixelTrait traits=GetPixelChannelTraits(image,channel);
            if ((traits & UpdatePixelTrait) == 0)
              continue;
            q[i]=ClampToQuantum(gamma*q[i]);
          }
          q+=GetPixelChannels(image);
        }
        if (SyncCacheViewAuthenticPixels(image_view,exception) == MagickFalse)
          status=MagickFalse;
      }
      image_view=DestroyCacheView(image_view);
      return(status);
    }
    case DiscreteAlphaChannel:
    {
      image->alpha_trait=UpdatePixelTrait;
      break;
    }
    case ExtractAlphaChannel:
    {
      status=CompositeImage(image,image,AlphaCompositeOp,MagickTrue,0,0,
        exception);
      image->alpha_trait=CopyPixelTrait;
      break;
    }
    case OpaqueAlphaChannel:
    {
      status=SetImageAlpha(image,OpaqueAlpha,exception);
      break;
    }
    case RemoveAlphaChannel:
    {
      /*
        Remove transparency.
      */
      if (image->alpha_trait != BlendPixelTrait)
        break;
      status=SetImageStorageClass(image,DirectClass,exception);
      if (status == MagickFalse)
        break;
      image_view=AcquireAuthenticCacheView(image,exception);
#if defined(MAGICKCORE_OPENMP_SUPPORT)
      #pragma omp parallel for schedule(static,4) shared(status) \
        magick_threads(image,image,image->rows,1)
#endif
      for (y=0; y < (ssize_t) image->rows; y++)
      {
        register Quantum
          *restrict q;

        register ssize_t
          x;

        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++)
        {
          FlattenPixelInfo(image,&image->background_color,
            image->background_color.alpha,q,(double)
            GetPixelAlpha(image,q),q);
          q+=GetPixelChannels(image);
        }
        if (SyncCacheViewAuthenticPixels(image_view,exception) == MagickFalse)
          status=MagickFalse;
      }
      image_view=DestroyCacheView(image_view);
      image->alpha_trait=image->background_color.alpha_trait;
      return(status);
    }
    case SetAlphaChannel:
    {
      if (image->alpha_trait != BlendPixelTrait)
        status=SetImageAlpha(image,OpaqueAlpha,exception);
      break;
    }
    case TransparentAlphaChannel:
    {
      status=SetImageAlpha(image,TransparentAlpha,exception);
      break;
    }
    case UndefinedAlphaChannel:
      break;
  }
  if (status == MagickFalse)
    return(status);
  return(SyncImagePixelCache(image,exception));
}
Пример #5
0
static inline void FlattenPixelInfo(const Image *image,const PixelInfo *p,
  const double alpha,const Quantum *q,const double beta,
  Quantum *composite)
{
  double
    Da,
    gamma,
    Sa;

  register ssize_t
    i;

  /*
    Compose pixel p over pixel q with the given alpha.
  */
  Sa=QuantumScale*alpha;
  Da=QuantumScale*beta,
  gamma=Sa*(-Da)+Sa+Da;
  gamma=PerceptibleReciprocal(gamma);
  for (i=0; i < (ssize_t) GetPixelChannels(image); i++)
  {
    PixelChannel channel=GetPixelChannelChannel(image,i);
    PixelTrait traits=GetPixelChannelTraits(image,channel);
    if (traits == UndefinedPixelTrait)
      continue;
    switch (channel)
    {
      case RedPixelChannel:
      {
        composite[i]=ClampToQuantum(gamma*MagickOver_((double) q[i],beta,
          (double) p->red,alpha));
        break;
      }
      case GreenPixelChannel:
      {
        composite[i]=ClampToQuantum(gamma*MagickOver_((double) q[i],beta,
          (double) p->green,alpha));
        break;
      }
      case BluePixelChannel:
      {
        composite[i]=ClampToQuantum(gamma*MagickOver_((double) q[i],beta,
          (double) p->blue,alpha));
        break;
      }
      case BlackPixelChannel:
      {
        composite[i]=ClampToQuantum(gamma*MagickOver_((double) q[i],beta,
          (double) p->black,alpha));
        break;
      }
      case AlphaPixelChannel:
      {
        composite[i]=ClampToQuantum(QuantumRange*(Sa*(-Da)+Sa+Da));
        break;
      }
      default:
        break;
    }
  }
}
Пример #6
0
/*
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                                                                             %
%                                                                             %
%                                                                             %
%   G a u s s J o r d a n E l i m i n a t i o n                               %
%                                                                             %
%                                                                             %
%                                                                             %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%  GaussJordanElimination() returns a matrix in reduced row echelon form,
%  while simultaneously reducing and thus solving the augumented results
%  matrix.
%
%  See also  http://en.wikipedia.org/wiki/Gauss-Jordan_elimination
%
%  The format of the GaussJordanElimination method is:
%
%      MagickBooleanType GaussJordanElimination(double **matrix,double **vectors,
%        const size_t rank,const size_t number_vectors)
%
%  A description of each parameter follows:
%
%    o matrix: the matrix to be reduced, as an 'array of row pointers'.
%
%    o vectors: the additional matrix argumenting the matrix for row reduction.
%             Producing an 'array of column vectors'.
%
%    o rank:  The size of the matrix (both rows and columns).
%             Also represents the number terms that need to be solved.
%
%    o number_vectors: Number of vectors columns, argumenting the above matrix.
%             Usally 1, but can be more for more complex equation solving.
%
%  Note that the 'matrix' is given as a 'array of row pointers' of rank size.
%  That is values can be assigned as   matrix[row][column]   where 'row' is
%  typically the equation, and 'column' is the term of the equation.
%  That is the matrix is in the form of a 'row first array'.
%
%  However 'vectors' is a 'array of column pointers' which can have any number
%  of columns, with each column array the same 'rank' size as 'matrix'.
%
%  This allows for simpler handling of the results, especially is only one
%  column 'vector' is all that is required to produce the desired solution.
%
%  For example, the 'vectors' can consist of a pointer to a simple array of
%  doubles.  when only one set of simultanious equations is to be solved from
%  the given set of coefficient weighted terms.
%
%     double **matrix = AcquireMagickMatrix(8UL,8UL);
%     double coefficents[8];
%     ...
%     GaussJordanElimination(matrix, &coefficents, 8UL, 1UL);
%
%  However by specifing more 'columns' (as an 'array of vector columns',
%  you can use this function to solve a set of 'separable' equations.
%
%  For example a distortion function where    u = U(x,y)   v = V(x,y)
%  And the functions U() and V() have separate coefficents, but are being
%  generated from a common x,y->u,v  data set.
%
%  Another example is generation of a color gradient from a set of colors
%  at specific coordients, such as a list    x,y -> r,g,b,a
%  (Reference to be added - Anthony)
%
%  You can also use the 'vectors' to generate an inverse of the given 'matrix'
%  though as a 'column first array' rather than a 'row first array'. For
%  details see    http://en.wikipedia.org/wiki/Gauss-Jordan_elimination
%
*/
MagickExport MagickBooleanType GaussJordanElimination(double **matrix,
  double **vectors,const size_t rank,const size_t number_vectors)
{
#define GaussJordanSwap(x,y) \
{ \
  if ((x) != (y)) \
    { \
      (x)+=(y); \
      (y)=(x)-(y); \
      (x)=(x)-(y); \
    } \
}

  double
    max,
    scale;

  register ssize_t
    i,
    j,
    k;

  ssize_t
    column,
    *columns,
    *pivots,
    row,
    *rows;

  columns=(ssize_t *) AcquireQuantumMemory(rank,sizeof(*columns));
  rows=(ssize_t *) AcquireQuantumMemory(rank,sizeof(*rows));
  pivots=(ssize_t *) AcquireQuantumMemory(rank,sizeof(*pivots));
  if ((rows == (ssize_t *) NULL) || (columns == (ssize_t *) NULL) ||
      (pivots == (ssize_t *) NULL))
    {
      if (pivots != (ssize_t *) NULL)
        pivots=(ssize_t *) RelinquishMagickMemory(pivots);
      if (columns != (ssize_t *) NULL)
        columns=(ssize_t *) RelinquishMagickMemory(columns);
      if (rows != (ssize_t *) NULL)
        rows=(ssize_t *) RelinquishMagickMemory(rows);
      return(MagickFalse);
    }
  (void) ResetMagickMemory(columns,0,rank*sizeof(*columns));
  (void) ResetMagickMemory(rows,0,rank*sizeof(*rows));
  (void) ResetMagickMemory(pivots,0,rank*sizeof(*pivots));
  column=0;
  row=0;
  for (i=0; i < (ssize_t) rank; i++)
  {
    max=0.0;
    for (j=0; j < (ssize_t) rank; j++)
      if (pivots[j] != 1)
        {
          for (k=0; k < (ssize_t) rank; k++)
            if (pivots[k] != 0)
              {
                if (pivots[k] > 1)
                  return(MagickFalse);
              }
            else
              if (fabs(matrix[j][k]) >= max)
                {
                  max=fabs(matrix[j][k]);
                  row=j;
                  column=k;
                }
        }
    pivots[column]++;
    if (row != column)
      {
        for (k=0; k < (ssize_t) rank; k++)
          GaussJordanSwap(matrix[row][k],matrix[column][k]);
        for (k=0; k < (ssize_t) number_vectors; k++)
          GaussJordanSwap(vectors[k][row],vectors[k][column]);
      }
    rows[i]=row;
    columns[i]=column;
    if (matrix[column][column] == 0.0)
      return(MagickFalse);  /* sigularity */
    scale=PerceptibleReciprocal(matrix[column][column]);
    matrix[column][column]=1.0;
    for (j=0; j < (ssize_t) rank; j++)
      matrix[column][j]*=scale;
    for (j=0; j < (ssize_t) number_vectors; j++)
      vectors[j][column]*=scale;
    for (j=0; j < (ssize_t) rank; j++)
      if (j != column)
        {
          scale=matrix[j][column];
          matrix[j][column]=0.0;
          for (k=0; k < (ssize_t) rank; k++)
            matrix[j][k]-=scale*matrix[column][k];
          for (k=0; k < (ssize_t) number_vectors; k++)
            vectors[k][j]-=scale*vectors[k][column];
        }
  }
  for (j=(ssize_t) rank-1; j >= 0; j--)
    if (columns[j] != rows[j])
      for (i=0; i < (ssize_t) rank; i++)
        GaussJordanSwap(matrix[i][rows[j]],matrix[i][columns[j]]);
  pivots=(ssize_t *) RelinquishMagickMemory(pivots);
  rows=(ssize_t *) RelinquishMagickMemory(rows);
  columns=(ssize_t *) RelinquishMagickMemory(columns);
  return(MagickTrue);
}
Пример #7
0
/*
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                                                                             %
%                                                                             %
%                                                                             %
%   R e a d P A N G O I m a g e                                               %
%                                                                             %
%                                                                             %
%                                                                             %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%  ReadPANGOImage() reads an image in the Pango Markup Language Format.
%
%  The format of the ReadPANGOImage method is:
%
%      Image *ReadPANGOImage(const ImageInfo *image_info,
%        ExceptionInfo *exception)
%
%  A description of each parameter follows:
%
%    o image_info: the image info.
%
%    o exception: return any errors or warnings in this structure.
%
*/
static Image *ReadPANGOImage(const ImageInfo *image_info,
  ExceptionInfo *exception)
{
  cairo_font_options_t
    *font_options;

  cairo_surface_t
    *surface;

  char
    *caption,
    *property;

  cairo_t
    *cairo_image;

  const char
    *option;

  DrawInfo
    *draw_info;

  Image
    *image;

  MagickBooleanType
    status;

  PangoAlignment
    align;

  PangoContext
    *context;

  PangoFontMap
    *fontmap;

  PangoGravity
    gravity;

  PangoLayout
    *layout;

  PangoRectangle
    extent;

  PixelInfo
    fill_color;

  RectangleInfo
    page;

  register unsigned char
    *p;

  size_t
    stride;

  ssize_t
    y;

  unsigned char
    *pixels;

  /*
    Initialize Image structure.
  */
  assert(image_info != (const ImageInfo *) NULL);
  assert(image_info->signature == MagickSignature);
  if (image_info->debug != MagickFalse)
    (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",
      image_info->filename);
  assert(exception != (ExceptionInfo *) NULL);
  assert(exception->signature == MagickSignature);
  image=AcquireImage(image_info,exception);
  (void) ResetImagePage(image,"0x0+0+0");
  /*
    Format caption.
  */
  option=GetImageArtifact(image,"filename");
  if (option == (const char *) NULL)
    property=InterpretImageProperties(image_info,image,image_info->filename,
      exception);
  else
    if (LocaleNCompare(option,"pango:",6) == 0)
      property=InterpretImageProperties(image_info,image,option+6,exception);
    else
      property=InterpretImageProperties(image_info,image,option,exception);
  (void) SetImageProperty(image,"caption",property,exception);
  property=DestroyString(property);
  caption=ConstantString(GetImageProperty(image,"caption",exception));
  /*
    Get context.
  */
  fontmap=pango_cairo_font_map_new();
  pango_cairo_font_map_set_resolution(PANGO_CAIRO_FONT_MAP(fontmap),
    image->resolution.x == 0.0 ? 90.0 : image->resolution.x);
  font_options=cairo_font_options_create();
  option=GetImageArtifact(image,"pango:hinting");
  if (option != (const char *) NULL)
    {
      if (LocaleCompare(option,"none") != 0)
        cairo_font_options_set_hint_style(font_options,CAIRO_HINT_STYLE_NONE);
      if (LocaleCompare(option,"full") != 0)
        cairo_font_options_set_hint_style(font_options,CAIRO_HINT_STYLE_FULL);
    }
  context=pango_font_map_create_context(fontmap);
  pango_cairo_context_set_font_options(context,font_options);
  cairo_font_options_destroy(font_options);
  option=GetImageArtifact(image,"pango:language");
  if (option != (const char *) NULL)
    pango_context_set_language(context,pango_language_from_string(option));
  draw_info=CloneDrawInfo(image_info,(DrawInfo *) NULL);
  pango_context_set_base_dir(context,draw_info->direction ==
    RightToLeftDirection ? PANGO_DIRECTION_RTL : PANGO_DIRECTION_LTR);
  switch (draw_info->gravity)
  {
    case NorthGravity:
    {
      gravity=PANGO_GRAVITY_NORTH;
      break;
    }
    case NorthWestGravity:
    case WestGravity:
    case SouthWestGravity:
    {
      gravity=PANGO_GRAVITY_WEST;
      break;
    }
    case NorthEastGravity:
    case EastGravity:
    case SouthEastGravity:
    {
      gravity=PANGO_GRAVITY_EAST;
      break;
    }
    case SouthGravity:
    {
      gravity=PANGO_GRAVITY_SOUTH;
      break;
    }
    default:
    {
      gravity=PANGO_GRAVITY_AUTO;
      break;
    }
  }
  pango_context_set_base_gravity(context,gravity);
  option=GetImageArtifact(image,"pango:gravity-hint");
  if (option != (const char *) NULL)
    {
      if (LocaleCompare(option,"line") == 0)
        pango_context_set_gravity_hint(context,PANGO_GRAVITY_HINT_LINE);
      if (LocaleCompare(option,"natural") == 0)
        pango_context_set_gravity_hint(context,PANGO_GRAVITY_HINT_NATURAL);
      if (LocaleCompare(option,"strong") == 0)
        pango_context_set_gravity_hint(context,PANGO_GRAVITY_HINT_STRONG);
    }
  /*
    Configure layout.
  */
  layout=pango_layout_new(context);
  option=GetImageArtifact(image,"pango:auto-dir");
  if (option != (const char *) NULL)
    pango_layout_set_auto_dir(layout,1);
  option=GetImageArtifact(image,"pango:ellipsize");
  if (option != (const char *) NULL)
    {
      if (LocaleCompare(option,"end") == 0)
        pango_layout_set_ellipsize(layout,PANGO_ELLIPSIZE_END);
      if (LocaleCompare(option,"middle") == 0)
        pango_layout_set_ellipsize(layout,PANGO_ELLIPSIZE_MIDDLE);
      if (LocaleCompare(option,"none") == 0)
        pango_layout_set_ellipsize(layout,PANGO_ELLIPSIZE_NONE);
      if (LocaleCompare(option,"start") == 0)
        pango_layout_set_ellipsize(layout,PANGO_ELLIPSIZE_START);
    }
  option=GetImageArtifact(image,"pango:justify");
  if (IfMagickTrue(IsStringTrue(option)))
    pango_layout_set_justify(layout,1);
  option=GetImageArtifact(image,"pango:single-paragraph");
  if (IfMagickTrue(IsStringTrue(option)))
    pango_layout_set_single_paragraph_mode(layout,1);
  option=GetImageArtifact(image,"pango:wrap");
  if (option != (const char *) NULL)
    {
      if (LocaleCompare(option,"char") == 0)
        pango_layout_set_wrap(layout,PANGO_WRAP_CHAR);
      if (LocaleCompare(option,"word") == 0)
        pango_layout_set_wrap(layout,PANGO_WRAP_WORD);
      if (LocaleCompare(option,"word-char") == 0)
        pango_layout_set_wrap(layout,PANGO_WRAP_WORD_CHAR);
    }
  option=GetImageArtifact(image,"pango:indent");
  if (option != (const char *) NULL)
    pango_layout_set_indent(layout,(int) ((StringToLong(option)*
      (image->resolution.x == 0.0 ? 90.0 : image->resolution.x)*PANGO_SCALE+36)/
      90.0+0.5));
  switch (draw_info->align)
  {
    case CenterAlign: align=PANGO_ALIGN_CENTER; break;
    case RightAlign: align=PANGO_ALIGN_RIGHT; break;
    case LeftAlign: align=PANGO_ALIGN_LEFT; break;
    default:
    {
      if (draw_info->gravity == CenterGravity)
        {
          align=PANGO_ALIGN_CENTER;
          break;
        }
      align=PANGO_ALIGN_LEFT;
      break;
    }
  }
  if ((align != PANGO_ALIGN_CENTER) &&
      (draw_info->direction == RightToLeftDirection))
    align=(PangoAlignment) (PANGO_ALIGN_LEFT+PANGO_ALIGN_RIGHT-align);
  pango_layout_set_alignment(layout,align);
  if (draw_info->font != (char *) NULL)
    {
      PangoFontDescription
        *description;

      /*
        Set font.
      */
      description=pango_font_description_from_string(draw_info->font);
      pango_font_description_set_size(description,(int) (PANGO_SCALE*
        draw_info->pointsize+0.5));
      pango_layout_set_font_description(layout,description);
      pango_font_description_free(description);
    }
  option=GetImageArtifact(image,"pango:markup");
  if ((option != (const char *) NULL) && (IsStringTrue(option) == MagickFalse))
    pango_layout_set_text(layout,caption,-1);
  else
    {
      GError
        *error;

      error=(GError *) NULL;
      if (pango_parse_markup(caption,-1,0,NULL,NULL,NULL,&error) == 0)
        (void) ThrowMagickException(exception,GetMagickModule(),CoderError,
          error->message,"`%s'",image_info->filename);
      pango_layout_set_markup(layout,caption,-1);
    }
  pango_layout_context_changed(layout);
  page.x=0;
  page.y=0;
  if (image_info->page != (char *) NULL)
    (void) ParseAbsoluteGeometry(image_info->page,&page);
  if (image->columns == 0)
    {
      pango_layout_get_extents(layout,NULL,&extent);
      image->columns=(extent.x+extent.width+PANGO_SCALE/2)/PANGO_SCALE+2*page.x;
    }
  else
    {
      image->columns-=2*page.x;
      pango_layout_set_width(layout,(int) ((PANGO_SCALE*image->columns*
        (image->resolution.x == 0.0 ? 90.0 : image->resolution.x)+45.0)/90.0+
        0.5));
    }
  if (image->rows == 0)
    {
      pango_layout_get_extents(layout,NULL,&extent);
      image->rows=(extent.y+extent.height+PANGO_SCALE/2)/PANGO_SCALE+2*page.y;
    }
  else
    {
      image->rows-=2*page.y;
      pango_layout_set_height(layout,(int) ((PANGO_SCALE*image->rows*
        (image->resolution.y == 0.0 ? 90.0 : image->resolution.y)+45.0)/90.0+
        0.5));
    }
  /*
    Render markup.
  */
  stride=(size_t) cairo_format_stride_for_width(CAIRO_FORMAT_ARGB32,
    image->columns);
  pixels=(unsigned char *) AcquireQuantumMemory(image->rows,stride*
    sizeof(*pixels));
  if (pixels == (unsigned char *) NULL)
    {
      draw_info=DestroyDrawInfo(draw_info);
      caption=DestroyString(caption);
      ThrowReaderException(ResourceLimitError,"MemoryAllocationFailed");
    }
  surface=cairo_image_surface_create_for_data(pixels,CAIRO_FORMAT_ARGB32,
    image->columns,image->rows,stride);
  cairo_image=cairo_create(surface);
  cairo_set_operator(cairo_image,CAIRO_OPERATOR_CLEAR);
  cairo_paint(cairo_image);
  cairo_set_operator(cairo_image,CAIRO_OPERATOR_OVER);
  cairo_translate(cairo_image,page.x,page.y);
  pango_cairo_show_layout(cairo_image,layout);
  cairo_destroy(cairo_image);
  cairo_surface_destroy(surface);
  g_object_unref(layout);
  g_object_unref(fontmap);
  /*
    Convert surface to image.
  */
  (void) SetImageBackgroundColor(image,exception);
  p=pixels;
  GetPixelInfo(image,&fill_color);
  for (y=0; y < (ssize_t) image->rows; y++)
  {
    register Quantum
      *q;

    register ssize_t
      x;

    q=GetAuthenticPixels(image,0,y,image->columns,1,exception);
    if (q == (Quantum *) NULL)
      break;
    for (x=0; x < (ssize_t) image->columns; x++)
    {
      double
        gamma;

      fill_color.blue=(double) ScaleCharToQuantum(*p++);
      fill_color.green=(double) ScaleCharToQuantum(*p++);
      fill_color.red=(double) ScaleCharToQuantum(*p++);
      fill_color.alpha=(double) ScaleCharToQuantum(*p++);
      /*
        Disassociate alpha.
      */
      gamma=1.0-QuantumScale*fill_color.alpha;
      gamma=PerceptibleReciprocal(gamma);
      fill_color.blue*=gamma;
      fill_color.green*=gamma;
      fill_color.red*=gamma;
      CompositePixelOver(image,&fill_color,fill_color.alpha,q,(double)
        GetPixelAlpha(image,q),q);
      q+=GetPixelChannels(image);
    }
    if (SyncAuthenticPixels(image,exception) == MagickFalse)
      break;
    if (image->previous == (Image *) NULL)
      {
        status=SetImageProgress(image,LoadImageTag,(MagickOffsetType) y,
        image->rows);
        if (status == MagickFalse)
          break;
      }
  }
  /*
    Relinquish resources.
  */
  pixels=(unsigned char *) RelinquishMagickMemory(pixels);
  draw_info=DestroyDrawInfo(draw_info);
  caption=DestroyString(caption);
  return(GetFirstImageInList(image));
}