MagickCore  7.0.7
Convert, Edit, Or Compose Bitmap Images
shear.c
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1 /*
2 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
3 % %
4 % %
5 % %
6 % SSSSS H H EEEEE AAA RRRR %
7 % SS H H E A A R R %
8 % SSS HHHHH EEE AAAAA RRRR %
9 % SS H H E A A R R %
10 % SSSSS H H EEEEE A A R R %
11 % %
12 % %
13 % MagickCore Methods to Shear or Rotate an Image by an Arbitrary Angle %
14 % %
15 % Software Design %
16 % Cristy %
17 % July 1992 %
18 % %
19 % %
20 % Copyright 1999-2018 ImageMagick Studio LLC, a non-profit organization %
21 % dedicated to making software imaging solutions freely available. %
22 % %
23 % You may not use this file except in compliance with the License. You may %
24 % obtain a copy of the License at %
25 % %
26 % https://www.imagemagick.org/script/license.php %
27 % %
28 % Unless required by applicable law or agreed to in writing, software %
29 % distributed under the License is distributed on an "AS IS" BASIS, %
30 % WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. %
31 % See the License for the specific language governing permissions and %
32 % limitations under the License. %
33 % %
34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
35 %
36 % The XShearImage() and YShearImage() methods are based on the paper "A Fast
37 % Algorithm for General Raster Rotation" by Alan W. Paeth, Graphics
38 % Interface '86 (Vancouver). ShearRotateImage() is adapted from a similar
39 % method based on the Paeth paper written by Michael Halle of the Spatial
40 % Imaging Group, MIT Media Lab.
41 %
42 */
43 
44 /*
45  Include declarations.
46 */
47 #include "MagickCore/studio.h"
48 #include "MagickCore/artifact.h"
49 #include "MagickCore/attribute.h"
52 #include "MagickCore/channel.h"
55 #include "MagickCore/composite.h"
57 #include "MagickCore/decorate.h"
58 #include "MagickCore/distort.h"
59 #include "MagickCore/draw.h"
60 #include "MagickCore/exception.h"
62 #include "MagickCore/gem.h"
63 #include "MagickCore/geometry.h"
64 #include "MagickCore/image.h"
66 #include "MagickCore/matrix.h"
67 #include "MagickCore/memory_.h"
68 #include "MagickCore/list.h"
69 #include "MagickCore/monitor.h"
73 #include "MagickCore/quantum.h"
74 #include "MagickCore/resource_.h"
75 #include "MagickCore/shear.h"
76 #include "MagickCore/statistic.h"
77 #include "MagickCore/string_.h"
80 #include "MagickCore/threshold.h"
81 #include "MagickCore/transform.h"
82 
83 /*
84 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
85 % %
86 % %
87 % %
88 + C r o p T o F i t I m a g e %
89 % %
90 % %
91 % %
92 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
93 %
94 % CropToFitImage() crops the sheared image as determined by the bounding box
95 % as defined by width and height and shearing angles.
96 %
97 % The format of the CropToFitImage method is:
98 %
99 % MagickBooleanType CropToFitImage(Image **image,
100 % const double x_shear,const double x_shear,
101 % const double width,const double height,
102 % const MagickBooleanType rotate,ExceptionInfo *exception)
103 %
104 % A description of each parameter follows.
105 %
106 % o image: the image.
107 %
108 % o x_shear, y_shear, width, height: Defines a region of the image to crop.
109 %
110 % o exception: return any errors or warnings in this structure.
111 %
112 */
114  const double x_shear,const double y_shear,
115  const double width,const double height,
116  const MagickBooleanType rotate,ExceptionInfo *exception)
117 {
118  Image
119  *crop_image;
120 
121  PointInfo
122  extent[4],
123  min,
124  max;
125 
127  geometry,
128  page;
129 
130  register ssize_t
131  i;
132 
133  /*
134  Calculate the rotated image size.
135  */
136  extent[0].x=(double) (-width/2.0);
137  extent[0].y=(double) (-height/2.0);
138  extent[1].x=(double) width/2.0;
139  extent[1].y=(double) (-height/2.0);
140  extent[2].x=(double) (-width/2.0);
141  extent[2].y=(double) height/2.0;
142  extent[3].x=(double) width/2.0;
143  extent[3].y=(double) height/2.0;
144  for (i=0; i < 4; i++)
145  {
146  extent[i].x+=x_shear*extent[i].y;
147  extent[i].y+=y_shear*extent[i].x;
148  if (rotate != MagickFalse)
149  extent[i].x+=x_shear*extent[i].y;
150  extent[i].x+=(double) (*image)->columns/2.0;
151  extent[i].y+=(double) (*image)->rows/2.0;
152  }
153  min=extent[0];
154  max=extent[0];
155  for (i=1; i < 4; i++)
156  {
157  if (min.x > extent[i].x)
158  min.x=extent[i].x;
159  if (min.y > extent[i].y)
160  min.y=extent[i].y;
161  if (max.x < extent[i].x)
162  max.x=extent[i].x;
163  if (max.y < extent[i].y)
164  max.y=extent[i].y;
165  }
166  geometry.x=(ssize_t) ceil(min.x-0.5);
167  geometry.y=(ssize_t) ceil(min.y-0.5);
168  geometry.width=(size_t) floor(max.x-min.x+0.5);
169  geometry.height=(size_t) floor(max.y-min.y+0.5);
170  page=(*image)->page;
171  (void) ParseAbsoluteGeometry("0x0+0+0",&(*image)->page);
172  crop_image=CropImage(*image,&geometry,exception);
173  if (crop_image == (Image *) NULL)
174  return(MagickFalse);
175  crop_image->page=page;
176  *image=DestroyImage(*image);
177  *image=crop_image;
178  return(MagickTrue);
179 }
180 
181 /*
182 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
183 % %
184 % %
185 % %
186 % D e s k e w I m a g e %
187 % %
188 % %
189 % %
190 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
191 %
192 % DeskewImage() removes skew from the image. Skew is an artifact that
193 % occurs in scanned images because of the camera being misaligned,
194 % imperfections in the scanning or surface, or simply because the paper was
195 % not placed completely flat when scanned.
196 %
197 % The result will be auto-croped if the artifact "deskew:auto-crop" is
198 % defined, while the amount the image is to be deskewed, in degrees is also
199 % saved as the artifact "deskew:angle".
200 %
201 % The format of the DeskewImage method is:
202 %
203 % Image *DeskewImage(const Image *image,const double threshold,
204 % ExceptionInfo *exception)
205 %
206 % A description of each parameter follows:
207 %
208 % o image: the image.
209 %
210 % o threshold: separate background from foreground.
211 %
212 % o exception: return any errors or warnings in this structure.
213 %
214 */
215 
216 static void RadonProjection(const Image *image,MatrixInfo *source_matrixs,
217  MatrixInfo *destination_matrixs,const ssize_t sign,size_t *projection)
218 {
219  MatrixInfo
220  *swap;
221 
222  register MatrixInfo
223  *p,
224  *q;
225 
226  register ssize_t
227  x;
228 
229  size_t
230  step;
231 
232  p=source_matrixs;
233  q=destination_matrixs;
234  for (step=1; step < GetMatrixColumns(p); step*=2)
235  {
236  for (x=0; x < (ssize_t) GetMatrixColumns(p); x+=2*(ssize_t) step)
237  {
238  register ssize_t
239  i;
240 
241  ssize_t
242  y;
243 
244  unsigned short
245  element,
246  neighbor;
247 
248  for (i=0; i < (ssize_t) step; i++)
249  {
250  for (y=0; y < (ssize_t) (GetMatrixRows(p)-i-1); y++)
251  {
252  if (GetMatrixElement(p,x+i,y,&element) == MagickFalse)
253  continue;
254  if (GetMatrixElement(p,x+i+step,y+i,&neighbor) == MagickFalse)
255  continue;
256  neighbor+=element;
257  if (SetMatrixElement(q,x+2*i,y,&neighbor) == MagickFalse)
258  continue;
259  if (GetMatrixElement(p,x+i+step,y+i+1,&neighbor) == MagickFalse)
260  continue;
261  neighbor+=element;
262  if (SetMatrixElement(q,x+2*i+1,y,&neighbor) == MagickFalse)
263  continue;
264  }
265  for ( ; y < (ssize_t) (GetMatrixRows(p)-i); y++)
266  {
267  if (GetMatrixElement(p,x+i,y,&element) == MagickFalse)
268  continue;
269  if (GetMatrixElement(p,x+i+step,y+i,&neighbor) == MagickFalse)
270  continue;
271  neighbor+=element;
272  if (SetMatrixElement(q,x+2*i,y,&neighbor) == MagickFalse)
273  continue;
274  if (SetMatrixElement(q,x+2*i+1,y,&element) == MagickFalse)
275  continue;
276  }
277  for ( ; y < (ssize_t) GetMatrixRows(p); y++)
278  {
279  if (GetMatrixElement(p,x+i,y,&element) == MagickFalse)
280  continue;
281  if (SetMatrixElement(q,x+2*i,y,&element) == MagickFalse)
282  continue;
283  if (SetMatrixElement(q,x+2*i+1,y,&element) == MagickFalse)
284  continue;
285  }
286  }
287  }
288  swap=p;
289  p=q;
290  q=swap;
291  }
292 #if defined(MAGICKCORE_OPENMP_SUPPORT)
293  #pragma omp parallel for schedule(static,4) \
294  magick_number_threads(image,image,GetMatrixColumns(p),1)
295 #endif
296  for (x=0; x < (ssize_t) GetMatrixColumns(p); x++)
297  {
298  register ssize_t
299  y;
300 
301  size_t
302  sum;
303 
304  sum=0;
305  for (y=0; y < (ssize_t) (GetMatrixRows(p)-1); y++)
306  {
307  ssize_t
308  delta;
309 
310  unsigned short
311  element,
312  neighbor;
313 
314  if (GetMatrixElement(p,x,y,&element) == MagickFalse)
315  continue;
316  if (GetMatrixElement(p,x,y+1,&neighbor) == MagickFalse)
317  continue;
318  delta=(ssize_t) element-(ssize_t) neighbor;
319  sum+=delta*delta;
320  }
321  projection[GetMatrixColumns(p)+sign*x-1]=sum;
322  }
323 }
324 
326  const double threshold,size_t *projection,ExceptionInfo *exception)
327 {
328  CacheView
329  *image_view;
330 
331  MatrixInfo
332  *destination_matrixs,
333  *source_matrixs;
334 
336  status;
337 
338  size_t
339  count,
340  width;
341 
342  ssize_t
343  j,
344  y;
345 
346  unsigned char
347  c;
348 
349  unsigned short
350  bits[256];
351 
352  for (width=1; width < ((image->columns+7)/8); width<<=1) ;
353  source_matrixs=AcquireMatrixInfo(width,image->rows,sizeof(unsigned short),
354  exception);
355  destination_matrixs=AcquireMatrixInfo(width,image->rows,
356  sizeof(unsigned short),exception);
357  if ((source_matrixs == (MatrixInfo *) NULL) ||
358  (destination_matrixs == (MatrixInfo *) NULL))
359  {
360  if (destination_matrixs != (MatrixInfo *) NULL)
361  destination_matrixs=DestroyMatrixInfo(destination_matrixs);
362  if (source_matrixs != (MatrixInfo *) NULL)
363  source_matrixs=DestroyMatrixInfo(source_matrixs);
364  return(MagickFalse);
365  }
366  if (NullMatrix(source_matrixs) == MagickFalse)
367  {
368  destination_matrixs=DestroyMatrixInfo(destination_matrixs);
369  source_matrixs=DestroyMatrixInfo(source_matrixs);
370  return(MagickFalse);
371  }
372  for (j=0; j < 256; j++)
373  {
374  c=(unsigned char) j;
375  for (count=0; c != 0; c>>=1)
376  count+=c & 0x01;
377  bits[j]=(unsigned short) count;
378  }
379  status=MagickTrue;
380  image_view=AcquireVirtualCacheView(image,exception);
381 #if defined(MAGICKCORE_OPENMP_SUPPORT)
382  #pragma omp parallel for schedule(static,4) shared(status) \
383  magick_number_threads(image,image,image->rows,1)
384 #endif
385  for (y=0; y < (ssize_t) image->rows; y++)
386  {
387  register const Quantum
388  *magick_restrict p;
389 
390  register ssize_t
391  i,
392  x;
393 
394  size_t
395  bit,
396  byte;
397 
398  unsigned short
399  value;
400 
401  if (status == MagickFalse)
402  continue;
403  p=GetCacheViewVirtualPixels(image_view,0,y,image->columns,1,exception);
404  if (p == (const Quantum *) NULL)
405  {
406  status=MagickFalse;
407  continue;
408  }
409  bit=0;
410  byte=0;
411  i=(ssize_t) (image->columns+7)/8;
412  for (x=0; x < (ssize_t) image->columns; x++)
413  {
414  byte<<=1;
415  if (((MagickRealType) GetPixelRed(image,p) < threshold) ||
416  ((MagickRealType) GetPixelGreen(image,p) < threshold) ||
417  ((MagickRealType) GetPixelBlue(image,p) < threshold))
418  byte|=0x01;
419  bit++;
420  if (bit == 8)
421  {
422  value=bits[byte];
423  (void) SetMatrixElement(source_matrixs,--i,y,&value);
424  bit=0;
425  byte=0;
426  }
427  p+=GetPixelChannels(image);
428  }
429  if (bit != 0)
430  {
431  byte<<=(8-bit);
432  value=bits[byte];
433  (void) SetMatrixElement(source_matrixs,--i,y,&value);
434  }
435  }
436  RadonProjection(image,source_matrixs,destination_matrixs,-1,projection);
437  (void) NullMatrix(source_matrixs);
438 #if defined(MAGICKCORE_OPENMP_SUPPORT)
439  #pragma omp parallel for schedule(static,4) shared(status) \
440  magick_number_threads(image,image,image->rows,1)
441 #endif
442  for (y=0; y < (ssize_t) image->rows; y++)
443  {
444  register const Quantum
445  *magick_restrict p;
446 
447  register ssize_t
448  i,
449  x;
450 
451  size_t
452  bit,
453  byte;
454 
455  unsigned short
456  value;
457 
458  if (status == MagickFalse)
459  continue;
460  p=GetCacheViewVirtualPixels(image_view,0,y,image->columns,1,exception);
461  if (p == (const Quantum *) NULL)
462  {
463  status=MagickFalse;
464  continue;
465  }
466  bit=0;
467  byte=0;
468  i=0;
469  for (x=0; x < (ssize_t) image->columns; x++)
470  {
471  byte<<=1;
472  if (((MagickRealType) GetPixelRed(image,p) < threshold) ||
473  ((MagickRealType) GetPixelGreen(image,p) < threshold) ||
474  ((MagickRealType) GetPixelBlue(image,p) < threshold))
475  byte|=0x01;
476  bit++;
477  if (bit == 8)
478  {
479  value=bits[byte];
480  (void) SetMatrixElement(source_matrixs,i++,y,&value);
481  bit=0;
482  byte=0;
483  }
484  p+=GetPixelChannels(image);
485  }
486  if (bit != 0)
487  {
488  byte<<=(8-bit);
489  value=bits[byte];
490  (void) SetMatrixElement(source_matrixs,i++,y,&value);
491  }
492  }
493  RadonProjection(image,source_matrixs,destination_matrixs,1,projection);
494  image_view=DestroyCacheView(image_view);
495  destination_matrixs=DestroyMatrixInfo(destination_matrixs);
496  source_matrixs=DestroyMatrixInfo(source_matrixs);
497  return(MagickTrue);
498 }
499 
500 static void GetImageBackgroundColor(Image *image,const ssize_t offset,
501  ExceptionInfo *exception)
502 {
503  CacheView
504  *image_view;
505 
506  PixelInfo
507  background;
508 
509  double
510  count;
511 
512  ssize_t
513  y;
514 
515  /*
516  Compute average background color.
517  */
518  if (offset <= 0)
519  return;
520  GetPixelInfo(image,&background);
521  count=0.0;
522  image_view=AcquireVirtualCacheView(image,exception);
523  for (y=0; y < (ssize_t) image->rows; y++)
524  {
525  register const Quantum
526  *magick_restrict p;
527 
528  register ssize_t
529  x;
530 
531  if ((y >= offset) && (y < ((ssize_t) image->rows-offset)))
532  continue;
533  p=GetCacheViewVirtualPixels(image_view,0,y,image->columns,1,exception);
534  if (p == (const Quantum *) NULL)
535  continue;
536  for (x=0; x < (ssize_t) image->columns; x++)
537  {
538  if ((x >= offset) && (x < ((ssize_t) image->columns-offset)))
539  continue;
540  background.red+=QuantumScale*GetPixelRed(image,p);
541  background.green+=QuantumScale*GetPixelGreen(image,p);
542  background.blue+=QuantumScale*GetPixelBlue(image,p);
543  if ((GetPixelAlphaTraits(image) & UpdatePixelTrait) != 0)
544  background.alpha+=QuantumScale*GetPixelAlpha(image,p);
545  count++;
546  p+=GetPixelChannels(image);
547  }
548  }
549  image_view=DestroyCacheView(image_view);
551  background.red/count);
553  background.green/count);
555  background.blue/count);
556  if ((GetPixelAlphaTraits(image) & UpdatePixelTrait) != 0)
558  background.alpha/count);
559 }
560 
561 MagickExport Image *DeskewImage(const Image *image,const double threshold,
562  ExceptionInfo *exception)
563 {
565  affine_matrix;
566 
567  const char
568  *artifact;
569 
570  double
571  degrees;
572 
573  Image
574  *clone_image,
575  *crop_image,
576  *deskew_image,
577  *median_image;
578 
580  status;
581 
583  geometry;
584 
585  register ssize_t
586  i;
587 
588  size_t
589  max_projection,
590  *projection,
591  width;
592 
593  ssize_t
594  skew;
595 
596  /*
597  Compute deskew angle.
598  */
599  for (width=1; width < ((image->columns+7)/8); width<<=1) ;
600  projection=(size_t *) AcquireQuantumMemory((size_t) (2*width-1),
601  sizeof(*projection));
602  if (projection == (size_t *) NULL)
603  ThrowImageException(ResourceLimitError,"MemoryAllocationFailed");
604  status=RadonTransform(image,threshold,projection,exception);
605  if (status == MagickFalse)
606  {
607  projection=(size_t *) RelinquishMagickMemory(projection);
608  ThrowImageException(ResourceLimitError,"MemoryAllocationFailed");
609  }
610  max_projection=0;
611  skew=0;
612  for (i=0; i < (ssize_t) (2*width-1); i++)
613  {
614  if (projection[i] > max_projection)
615  {
616  skew=i-(ssize_t) width+1;
617  max_projection=projection[i];
618  }
619  }
620  projection=(size_t *) RelinquishMagickMemory(projection);
621  degrees=RadiansToDegrees(-atan((double) skew/width/8));
622  if (image->debug != MagickFalse)
624  " Deskew angle: %g",degrees);
625  /*
626  Deskew image.
627  */
628  clone_image=CloneImage(image,0,0,MagickTrue,exception);
629  if (clone_image == (Image *) NULL)
630  return((Image *) NULL);
631  {
632  char
633  angle[MagickPathExtent];
634 
635  (void) FormatLocaleString(angle,MagickPathExtent,"%.20g",degrees);
636  (void) SetImageArtifact(clone_image,"deskew:angle",angle);
637  }
639  exception);
640  affine_matrix.sx=cos(DegreesToRadians(fmod((double) degrees,360.0)));
641  affine_matrix.rx=sin(DegreesToRadians(fmod((double) degrees,360.0)));
642  affine_matrix.ry=(-sin(DegreesToRadians(fmod((double) degrees,360.0))));
643  affine_matrix.sy=cos(DegreesToRadians(fmod((double) degrees,360.0)));
644  affine_matrix.tx=0.0;
645  affine_matrix.ty=0.0;
646  artifact=GetImageArtifact(image,"deskew:auto-crop");
647  if (IsStringTrue(artifact) == MagickFalse)
648  {
649  deskew_image=AffineTransformImage(clone_image,&affine_matrix,exception);
650  clone_image=DestroyImage(clone_image);
651  return(deskew_image);
652  }
653  /*
654  Auto-crop image.
655  */
656  GetImageBackgroundColor(clone_image,(ssize_t) StringToLong(artifact),
657  exception);
658  deskew_image=AffineTransformImage(clone_image,&affine_matrix,exception);
659  clone_image=DestroyImage(clone_image);
660  if (deskew_image == (Image *) NULL)
661  return((Image *) NULL);
662  median_image=StatisticImage(deskew_image,MedianStatistic,3,3,exception);
663  if (median_image == (Image *) NULL)
664  {
665  deskew_image=DestroyImage(deskew_image);
666  return((Image *) NULL);
667  }
668  geometry=GetImageBoundingBox(median_image,exception);
669  median_image=DestroyImage(median_image);
670  if (image->debug != MagickFalse)
671  (void) LogMagickEvent(TransformEvent,GetMagickModule()," Deskew geometry: "
672  "%.20gx%.20g%+.20g%+.20g",(double) geometry.width,(double)
673  geometry.height,(double) geometry.x,(double) geometry.y);
674  crop_image=CropImage(deskew_image,&geometry,exception);
675  deskew_image=DestroyImage(deskew_image);
676  return(crop_image);
677 }
678 
679 /*
680 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
681 % %
682 % %
683 % %
684 % I n t e g r a l R o t a t e I m a g e %
685 % %
686 % %
687 % %
688 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
689 %
690 % IntegralRotateImage() rotates the image an integral of 90 degrees. It
691 % allocates the memory necessary for the new Image structure and returns a
692 % pointer to the rotated image.
693 %
694 % The format of the IntegralRotateImage method is:
695 %
696 % Image *IntegralRotateImage(const Image *image,size_t rotations,
697 % ExceptionInfo *exception)
698 %
699 % A description of each parameter follows.
700 %
701 % o image: the image.
702 %
703 % o rotations: Specifies the number of 90 degree rotations.
704 %
705 */
706 MagickExport Image *IntegralRotateImage(const Image *image,size_t rotations,
707  ExceptionInfo *exception)
708 {
709 #define RotateImageTag "Rotate/Image"
710 
711  CacheView
712  *image_view,
713  *rotate_view;
714 
715  Image
716  *rotate_image;
717 
719  status;
720 
722  progress;
723 
725  page;
726 
727  /*
728  Initialize rotated image attributes.
729  */
730  assert(image != (Image *) NULL);
731  page=image->page;
732  rotations%=4;
733  if (rotations == 0)
734  return(CloneImage(image,0,0,MagickTrue,exception));
735  if ((rotations == 1) || (rotations == 3))
736  rotate_image=CloneImage(image,image->rows,image->columns,MagickTrue,
737  exception);
738  else
739  rotate_image=CloneImage(image,image->columns,image->rows,MagickTrue,
740  exception);
741  if (rotate_image == (Image *) NULL)
742  return((Image *) NULL);
743  /*
744  Integral rotate the image.
745  */
746  status=MagickTrue;
747  progress=0;
748  image_view=AcquireVirtualCacheView(image,exception);
749  rotate_view=AcquireAuthenticCacheView(rotate_image,exception);
750  switch (rotations)
751  {
752  case 1:
753  {
754  size_t
755  tile_height,
756  tile_width;
757 
758  ssize_t
759  tile_y;
760 
761  /*
762  Rotate 90 degrees.
763  */
764  GetPixelCacheTileSize(image,&tile_width,&tile_height);
765  tile_width=image->columns;
766 #if defined(MAGICKCORE_OPENMP_SUPPORT)
767  #pragma omp parallel for schedule(static,4) shared(status) \
768  magick_number_threads(image,image,image->rows/tile_height,1)
769 #endif
770  for (tile_y=0; tile_y < (ssize_t) image->rows; tile_y+=(ssize_t) tile_height)
771  {
772  register ssize_t
773  tile_x;
774 
775  if (status == MagickFalse)
776  continue;
777  tile_x=0;
778  for ( ; tile_x < (ssize_t) image->columns; tile_x+=(ssize_t) tile_width)
779  {
781  sync;
782 
783  register const Quantum
784  *magick_restrict p;
785 
786  register Quantum
787  *magick_restrict q;
788 
789  register ssize_t
790  y;
791 
792  size_t
793  height,
794  width;
795 
796  width=tile_width;
797  if ((tile_x+(ssize_t) tile_width) > (ssize_t) image->columns)
798  width=(size_t) (tile_width-(tile_x+tile_width-image->columns));
799  height=tile_height;
800  if ((tile_y+(ssize_t) tile_height) > (ssize_t) image->rows)
801  height=(size_t) (tile_height-(tile_y+tile_height-image->rows));
802  p=GetCacheViewVirtualPixels(image_view,tile_x,tile_y,width,height,
803  exception);
804  if (p == (const Quantum *) NULL)
805  {
806  status=MagickFalse;
807  break;
808  }
809  for (y=0; y < (ssize_t) width; y++)
810  {
811  register const Quantum
812  *magick_restrict tile_pixels;
813 
814  register ssize_t
815  x;
816 
817  if (status == MagickFalse)
818  continue;
819  q=QueueCacheViewAuthenticPixels(rotate_view,(ssize_t)
820  (rotate_image->columns-(tile_y+height)),y+tile_x,height,1,
821  exception);
822  if (q == (Quantum *) NULL)
823  {
824  status=MagickFalse;
825  continue;
826  }
827  tile_pixels=p+((height-1)*width+y)*GetPixelChannels(image);
828  for (x=0; x < (ssize_t) height; x++)
829  {
830  register ssize_t
831  i;
832 
833  if (GetPixelWriteMask(image,tile_pixels) <= (QuantumRange/2))
834  {
835  tile_pixels-=width*GetPixelChannels(image);
836  q+=GetPixelChannels(rotate_image);
837  continue;
838  }
839  for (i=0; i < (ssize_t) GetPixelChannels(image); i++)
840  {
841  PixelChannel channel = GetPixelChannelChannel(image,i);
842  PixelTrait traits = GetPixelChannelTraits(image,channel);
843  PixelTrait rotate_traits=GetPixelChannelTraits(rotate_image,
844  channel);
845  if ((traits == UndefinedPixelTrait) ||
846  (rotate_traits == UndefinedPixelTrait))
847  continue;
848  SetPixelChannel(rotate_image,channel,tile_pixels[i],q);
849  }
850  tile_pixels-=width*GetPixelChannels(image);
851  q+=GetPixelChannels(rotate_image);
852  }
853  sync=SyncCacheViewAuthenticPixels(rotate_view,exception);
854  if (sync == MagickFalse)
855  status=MagickFalse;
856  }
857  }
858  if (image->progress_monitor != (MagickProgressMonitor) NULL)
859  {
861  proceed;
862 
863 #if defined(MAGICKCORE_OPENMP_SUPPORT)
864  #pragma omp critical (MagickCore_IntegralRotateImage)
865 #endif
866  proceed=SetImageProgress(image,RotateImageTag,progress+=tile_height,
867  image->rows);
868  if (proceed == MagickFalse)
869  status=MagickFalse;
870  }
871  }
873  image->rows-1,image->rows);
874  Swap(page.width,page.height);
875  Swap(page.x,page.y);
876  if (page.width != 0)
877  page.x=(ssize_t) (page.width-rotate_image->columns-page.x);
878  break;
879  }
880  case 2:
881  {
882  register ssize_t
883  y;
884 
885  /*
886  Rotate 180 degrees.
887  */
888 #if defined(MAGICKCORE_OPENMP_SUPPORT)
889  #pragma omp parallel for schedule(static,4) shared(status) \
890  magick_number_threads(image,image,image->rows,1)
891 #endif
892  for (y=0; y < (ssize_t) image->rows; y++)
893  {
895  sync;
896 
897  register const Quantum
898  *magick_restrict p;
899 
900  register Quantum
901  *magick_restrict q;
902 
903  register ssize_t
904  x;
905 
906  if (status == MagickFalse)
907  continue;
908  p=GetCacheViewVirtualPixels(image_view,0,y,image->columns,1,exception);
909  q=QueueCacheViewAuthenticPixels(rotate_view,0,(ssize_t) (image->rows-y-
910  1),image->columns,1,exception);
911  if ((p == (const Quantum *) NULL) || (q == (Quantum *) NULL))
912  {
913  status=MagickFalse;
914  continue;
915  }
916  q+=GetPixelChannels(rotate_image)*image->columns;
917  for (x=0; x < (ssize_t) image->columns; x++)
918  {
919  register ssize_t
920  i;
921 
922  q-=GetPixelChannels(rotate_image);
923  if (GetPixelWriteMask(image,p) <= (QuantumRange/2))
924  {
925  p+=GetPixelChannels(image);
926  continue;
927  }
928  for (i=0; i < (ssize_t) GetPixelChannels(image); i++)
929  {
930  PixelChannel channel = GetPixelChannelChannel(image,i);
931  PixelTrait traits = GetPixelChannelTraits(image,channel);
932  PixelTrait rotate_traits=GetPixelChannelTraits(rotate_image,
933  channel);
934  if ((traits == UndefinedPixelTrait) ||
935  (rotate_traits == UndefinedPixelTrait))
936  continue;
937  SetPixelChannel(rotate_image,channel,p[i],q);
938  }
939  p+=GetPixelChannels(image);
940  }
941  sync=SyncCacheViewAuthenticPixels(rotate_view,exception);
942  if (sync == MagickFalse)
943  status=MagickFalse;
944  if (image->progress_monitor != (MagickProgressMonitor) NULL)
945  {
947  proceed;
948 
949 #if defined(MAGICKCORE_OPENMP_SUPPORT)
950  #pragma omp critical (MagickCore_IntegralRotateImage)
951 #endif
952  proceed=SetImageProgress(image,RotateImageTag,progress++,
953  image->rows);
954  if (proceed == MagickFalse)
955  status=MagickFalse;
956  }
957  }
959  image->rows-1,image->rows);
960  if (page.width != 0)
961  page.x=(ssize_t) (page.width-rotate_image->columns-page.x);
962  if (page.height != 0)
963  page.y=(ssize_t) (page.height-rotate_image->rows-page.y);
964  break;
965  }
966  case 3:
967  {
968  size_t
969  tile_height,
970  tile_width;
971 
972  ssize_t
973  tile_y;
974 
975  /*
976  Rotate 270 degrees.
977  */
978  GetPixelCacheTileSize(image,&tile_width,&tile_height);
979  tile_width=image->columns;
980 #if defined(MAGICKCORE_OPENMP_SUPPORT)
981  #pragma omp parallel for schedule(static,4) shared(status) \
982  magick_number_threads(image,image,image->rows/tile_height,1)
983 #endif
984  for (tile_y=0; tile_y < (ssize_t) image->rows; tile_y+=(ssize_t) tile_height)
985  {
986  register ssize_t
987  tile_x;
988 
989  if (status == MagickFalse)
990  continue;
991  tile_x=0;
992  for ( ; tile_x < (ssize_t) image->columns; tile_x+=(ssize_t) tile_width)
993  {
995  sync;
996 
997  register const Quantum
998  *magick_restrict p;
999 
1000  register Quantum
1001  *magick_restrict q;
1002 
1003  register ssize_t
1004  y;
1005 
1006  size_t
1007  height,
1008  width;
1009 
1010  width=tile_width;
1011  if ((tile_x+(ssize_t) tile_width) > (ssize_t) image->columns)
1012  width=(size_t) (tile_width-(tile_x+tile_width-image->columns));
1013  height=tile_height;
1014  if ((tile_y+(ssize_t) tile_height) > (ssize_t) image->rows)
1015  height=(size_t) (tile_height-(tile_y+tile_height-image->rows));
1016  p=GetCacheViewVirtualPixels(image_view,tile_x,tile_y,width,height,
1017  exception);
1018  if (p == (const Quantum *) NULL)
1019  {
1020  status=MagickFalse;
1021  break;
1022  }
1023  for (y=0; y < (ssize_t) width; y++)
1024  {
1025  register const Quantum
1026  *magick_restrict tile_pixels;
1027 
1028  register ssize_t
1029  x;
1030 
1031  if (status == MagickFalse)
1032  continue;
1033  q=QueueCacheViewAuthenticPixels(rotate_view,tile_y,(ssize_t) (y+
1034  rotate_image->rows-(tile_x+width)),height,1,exception);
1035  if (q == (Quantum *) NULL)
1036  {
1037  status=MagickFalse;
1038  continue;
1039  }
1040  tile_pixels=p+((width-1)-y)*GetPixelChannels(image);
1041  for (x=0; x < (ssize_t) height; x++)
1042  {
1043  register ssize_t
1044  i;
1045 
1046  if (GetPixelWriteMask(image,tile_pixels) <= (QuantumRange/2))
1047  {
1048  tile_pixels+=width*GetPixelChannels(image);
1049  q+=GetPixelChannels(rotate_image);
1050  continue;
1051  }
1052  for (i=0; i < (ssize_t) GetPixelChannels(image); i++)
1053  {
1054  PixelChannel channel = GetPixelChannelChannel(image,i);
1055  PixelTrait traits = GetPixelChannelTraits(image,channel);
1056  PixelTrait rotate_traits=GetPixelChannelTraits(rotate_image,
1057  channel);
1058  if ((traits == UndefinedPixelTrait) ||
1059  (rotate_traits == UndefinedPixelTrait))
1060  continue;
1061  SetPixelChannel(rotate_image,channel,tile_pixels[i],q);
1062  }
1063  tile_pixels+=width*GetPixelChannels(image);
1064  q+=GetPixelChannels(rotate_image);
1065  }
1066 #if defined(MAGICKCORE_OPENMP_SUPPORT)
1067  #pragma omp critical (MagickCore_IntegralRotateImage)
1068 #endif
1069  sync=SyncCacheViewAuthenticPixels(rotate_view,exception);
1070  if (sync == MagickFalse)
1071  status=MagickFalse;
1072  }
1073  }
1074  if (image->progress_monitor != (MagickProgressMonitor) NULL)
1075  {
1077  proceed;
1078 
1079  proceed=SetImageProgress(image,RotateImageTag,progress+=tile_height,
1080  image->rows);
1081  if (proceed == MagickFalse)
1082  status=MagickFalse;
1083  }
1084  }
1086  image->rows-1,image->rows);
1087  Swap(page.width,page.height);
1088  Swap(page.x,page.y);
1089  if (page.height != 0)
1090  page.y=(ssize_t) (page.height-rotate_image->rows-page.y);
1091  break;
1092  }
1093  default:
1094  break;
1095  }
1096  rotate_view=DestroyCacheView(rotate_view);
1097  image_view=DestroyCacheView(image_view);
1098  rotate_image->type=image->type;
1099  rotate_image->page=page;
1100  if (status == MagickFalse)
1101  rotate_image=DestroyImage(rotate_image);
1102  return(rotate_image);
1103 }
1104 
1105 /*
1106 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
1107 % %
1108 % %
1109 % %
1110 + X S h e a r I m a g e %
1111 % %
1112 % %
1113 % %
1114 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
1115 %
1116 % XShearImage() shears the image in the X direction with a shear angle of
1117 % 'degrees'. Positive angles shear counter-clockwise (right-hand rule), and
1118 % negative angles shear clockwise. Angles are measured relative to a vertical
1119 % Y-axis. X shears will widen an image creating 'empty' triangles on the left
1120 % and right sides of the source image.
1121 %
1122 % The format of the XShearImage method is:
1123 %
1124 % MagickBooleanType XShearImage(Image *image,const double degrees,
1125 % const size_t width,const size_t height,
1126 % const ssize_t x_offset,const ssize_t y_offset,ExceptionInfo *exception)
1127 %
1128 % A description of each parameter follows.
1129 %
1130 % o image: the image.
1131 %
1132 % o degrees: A double representing the shearing angle along the X
1133 % axis.
1134 %
1135 % o width, height, x_offset, y_offset: Defines a region of the image
1136 % to shear.
1137 %
1138 % o exception: return any errors or warnings in this structure.
1139 %
1140 */
1141 static MagickBooleanType XShearImage(Image *image,const double degrees,
1142  const size_t width,const size_t height,const ssize_t x_offset,
1143  const ssize_t y_offset,ExceptionInfo *exception)
1144 {
1145 #define XShearImageTag "XShear/Image"
1146 
1147  typedef enum
1148  {
1149  LEFT,
1150  RIGHT
1151  } ShearDirection;
1152 
1153  CacheView
1154  *image_view;
1155 
1157  status;
1158 
1160  progress;
1161 
1162  PixelInfo
1163  background;
1164 
1165  ssize_t
1166  y;
1167 
1168  /*
1169  X shear image.
1170  */
1171  assert(image != (Image *) NULL);
1172  assert(image->signature == MagickCoreSignature);
1173  if (image->debug != MagickFalse)
1174  (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
1175  status=MagickTrue;
1176  background=image->background_color;
1177  progress=0;
1178  image_view=AcquireAuthenticCacheView(image,exception);
1179 #if defined(MAGICKCORE_OPENMP_SUPPORT)
1180  #pragma omp parallel for schedule(static,4) shared(progress,status) \
1181  magick_number_threads(image,image,height,1)
1182 #endif
1183  for (y=0; y < (ssize_t) height; y++)
1184  {
1185  PixelInfo
1186  pixel,
1187  source,
1188  destination;
1189 
1190  double
1191  area,
1192  displacement;
1193 
1194  register Quantum
1195  *magick_restrict p,
1196  *magick_restrict q;
1197 
1198  register ssize_t
1199  i;
1200 
1201  ShearDirection
1202  direction;
1203 
1204  ssize_t
1205  step;
1206 
1207  if (status == MagickFalse)
1208  continue;
1209  p=GetCacheViewAuthenticPixels(image_view,0,y_offset+y,image->columns,1,
1210  exception);
1211  if (p == (Quantum *) NULL)
1212  {
1213  status=MagickFalse;
1214  continue;
1215  }
1216  p+=x_offset*GetPixelChannels(image);
1217  displacement=degrees*(double) (y-height/2.0);
1218  if (displacement == 0.0)
1219  continue;
1220  if (displacement > 0.0)
1221  direction=RIGHT;
1222  else
1223  {
1224  displacement*=(-1.0);
1225  direction=LEFT;
1226  }
1227  step=(ssize_t) floor((double) displacement);
1228  area=(double) (displacement-step);
1229  step++;
1230  pixel=background;
1231  GetPixelInfo(image,&source);
1232  GetPixelInfo(image,&destination);
1233  switch (direction)
1234  {
1235  case LEFT:
1236  {
1237  /*
1238  Transfer pixels left-to-right.
1239  */
1240  if (step > x_offset)
1241  break;
1242  q=p-step*GetPixelChannels(image);
1243  for (i=0; i < (ssize_t) width; i++)
1244  {
1245  if ((x_offset+i) < step)
1246  {
1247  p+=GetPixelChannels(image);
1248  GetPixelInfoPixel(image,p,&pixel);
1249  q+=GetPixelChannels(image);
1250  continue;
1251  }
1252  GetPixelInfoPixel(image,p,&source);
1253  CompositePixelInfoAreaBlend(&pixel,(double) pixel.alpha,
1254  &source,(double) GetPixelAlpha(image,p),area,&destination);
1255  SetPixelViaPixelInfo(image,&destination,q);
1256  GetPixelInfoPixel(image,p,&pixel);
1257  p+=GetPixelChannels(image);
1258  q+=GetPixelChannels(image);
1259  }
1260  CompositePixelInfoAreaBlend(&pixel,(double) pixel.alpha,
1261  &background,(double) background.alpha,area,&destination);
1262  SetPixelViaPixelInfo(image,&destination,q);
1263  q+=GetPixelChannels(image);
1264  for (i=0; i < (step-1); i++)
1265  {
1266  SetPixelViaPixelInfo(image,&background,q);
1267  q+=GetPixelChannels(image);
1268  }
1269  break;
1270  }
1271  case RIGHT:
1272  {
1273  /*
1274  Transfer pixels right-to-left.
1275  */
1276  p+=width*GetPixelChannels(image);
1277  q=p+step*GetPixelChannels(image);
1278  for (i=0; i < (ssize_t) width; i++)
1279  {
1280  p-=GetPixelChannels(image);
1281  q-=GetPixelChannels(image);
1282  if ((size_t) (x_offset+width+step-i) > image->columns)
1283  continue;
1284  GetPixelInfoPixel(image,p,&source);
1285  CompositePixelInfoAreaBlend(&pixel,(double) pixel.alpha,
1286  &source,(double) GetPixelAlpha(image,p),area,&destination);
1287  SetPixelViaPixelInfo(image,&destination,q);
1288  GetPixelInfoPixel(image,p,&pixel);
1289  }
1290  CompositePixelInfoAreaBlend(&pixel,(double) pixel.alpha,
1291  &background,(double) background.alpha,area,&destination);
1292  q-=GetPixelChannels(image);
1293  SetPixelViaPixelInfo(image,&destination,q);
1294  for (i=0; i < (step-1); i++)
1295  {
1296  q-=GetPixelChannels(image);
1297  SetPixelViaPixelInfo(image,&background,q);
1298  }
1299  break;
1300  }
1301  }
1302  if (SyncCacheViewAuthenticPixels(image_view,exception) == MagickFalse)
1303  status=MagickFalse;
1304  if (image->progress_monitor != (MagickProgressMonitor) NULL)
1305  {
1307  proceed;
1308 
1309 #if defined(MAGICKCORE_OPENMP_SUPPORT)
1310  #pragma omp critical (MagickCore_XShearImage)
1311 #endif
1312  proceed=SetImageProgress(image,XShearImageTag,progress++,height);
1313  if (proceed == MagickFalse)
1314  status=MagickFalse;
1315  }
1316  }
1317  image_view=DestroyCacheView(image_view);
1318  return(status);
1319 }
1320 
1321 /*
1322 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
1323 % %
1324 % %
1325 % %
1326 + Y S h e a r I m a g e %
1327 % %
1328 % %
1329 % %
1330 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
1331 %
1332 % YShearImage shears the image in the Y direction with a shear angle of
1333 % 'degrees'. Positive angles shear counter-clockwise (right-hand rule), and
1334 % negative angles shear clockwise. Angles are measured relative to a
1335 % horizontal X-axis. Y shears will increase the height of an image creating
1336 % 'empty' triangles on the top and bottom of the source image.
1337 %
1338 % The format of the YShearImage method is:
1339 %
1340 % MagickBooleanType YShearImage(Image *image,const double degrees,
1341 % const size_t width,const size_t height,
1342 % const ssize_t x_offset,const ssize_t y_offset,ExceptionInfo *exception)
1343 %
1344 % A description of each parameter follows.
1345 %
1346 % o image: the image.
1347 %
1348 % o degrees: A double representing the shearing angle along the Y
1349 % axis.
1350 %
1351 % o width, height, x_offset, y_offset: Defines a region of the image
1352 % to shear.
1353 %
1354 % o exception: return any errors or warnings in this structure.
1355 %
1356 */
1357 static MagickBooleanType YShearImage(Image *image,const double degrees,
1358  const size_t width,const size_t height,const ssize_t x_offset,
1359  const ssize_t y_offset,ExceptionInfo *exception)
1360 {
1361 #define YShearImageTag "YShear/Image"
1362 
1363  typedef enum
1364  {
1365  UP,
1366  DOWN
1367  } ShearDirection;
1368 
1369  CacheView
1370  *image_view;
1371 
1373  status;
1374 
1376  progress;
1377 
1378  PixelInfo
1379  background;
1380 
1381  ssize_t
1382  x;
1383 
1384  /*
1385  Y Shear image.
1386  */
1387  assert(image != (Image *) NULL);
1388  assert(image->signature == MagickCoreSignature);
1389  if (image->debug != MagickFalse)
1390  (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
1391  status=MagickTrue;
1392  progress=0;
1393  background=image->background_color;
1394  image_view=AcquireAuthenticCacheView(image,exception);
1395 #if defined(MAGICKCORE_OPENMP_SUPPORT)
1396  #pragma omp parallel for schedule(static,4) shared(progress,status) \
1397  magick_number_threads(image,image,width,1)
1398 #endif
1399  for (x=0; x < (ssize_t) width; x++)
1400  {
1401  ssize_t
1402  step;
1403 
1404  double
1405  area,
1406  displacement;
1407 
1408  PixelInfo
1409  pixel,
1410  source,
1411  destination;
1412 
1413  register Quantum
1414  *magick_restrict p,
1415  *magick_restrict q;
1416 
1417  register ssize_t
1418  i;
1419 
1420  ShearDirection
1421  direction;
1422 
1423  if (status == MagickFalse)
1424  continue;
1425  p=GetCacheViewAuthenticPixels(image_view,x_offset+x,0,1,image->rows,
1426  exception);
1427  if (p == (Quantum *) NULL)
1428  {
1429  status=MagickFalse;
1430  continue;
1431  }
1432  p+=y_offset*GetPixelChannels(image);
1433  displacement=degrees*(double) (x-width/2.0);
1434  if (displacement == 0.0)
1435  continue;
1436  if (displacement > 0.0)
1437  direction=DOWN;
1438  else
1439  {
1440  displacement*=(-1.0);
1441  direction=UP;
1442  }
1443  step=(ssize_t) floor((double) displacement);
1444  area=(double) (displacement-step);
1445  step++;
1446  pixel=background;
1447  GetPixelInfo(image,&source);
1448  GetPixelInfo(image,&destination);
1449  switch (direction)
1450  {
1451  case UP:
1452  {
1453  /*
1454  Transfer pixels top-to-bottom.
1455  */
1456  if (step > y_offset)
1457  break;
1458  q=p-step*GetPixelChannels(image);
1459  for (i=0; i < (ssize_t) height; i++)
1460  {
1461  if ((y_offset+i) < step)
1462  {
1463  p+=GetPixelChannels(image);
1464  GetPixelInfoPixel(image,p,&pixel);
1465  q+=GetPixelChannels(image);
1466  continue;
1467  }
1468  GetPixelInfoPixel(image,p,&source);
1469  CompositePixelInfoAreaBlend(&pixel,(double) pixel.alpha,
1470  &source,(double) GetPixelAlpha(image,p),area,
1471  &destination);
1472  SetPixelViaPixelInfo(image,&destination,q);
1473  GetPixelInfoPixel(image,p,&pixel);
1474  p+=GetPixelChannels(image);
1475  q+=GetPixelChannels(image);
1476  }
1477  CompositePixelInfoAreaBlend(&pixel,(double) pixel.alpha,
1478  &background,(double) background.alpha,area,&destination);
1479  SetPixelViaPixelInfo(image,&destination,q);
1480  q+=GetPixelChannels(image);
1481  for (i=0; i < (step-1); i++)
1482  {
1483  SetPixelViaPixelInfo(image,&background,q);
1484  q+=GetPixelChannels(image);
1485  }
1486  break;
1487  }
1488  case DOWN:
1489  {
1490  /*
1491  Transfer pixels bottom-to-top.
1492  */
1493  p+=height*GetPixelChannels(image);
1494  q=p+step*GetPixelChannels(image);
1495  for (i=0; i < (ssize_t) height; i++)
1496  {
1497  p-=GetPixelChannels(image);
1498  q-=GetPixelChannels(image);
1499  if ((size_t) (y_offset+height+step-i) > image->rows)
1500  continue;
1501  GetPixelInfoPixel(image,p,&source);
1502  CompositePixelInfoAreaBlend(&pixel,(double) pixel.alpha,
1503  &source,(double) GetPixelAlpha(image,p),area,
1504  &destination);
1505  SetPixelViaPixelInfo(image,&destination,q);
1506  GetPixelInfoPixel(image,p,&pixel);
1507  }
1508  CompositePixelInfoAreaBlend(&pixel,(double) pixel.alpha,
1509  &background,(double) background.alpha,area,&destination);
1510  q-=GetPixelChannels(image);
1511  SetPixelViaPixelInfo(image,&destination,q);
1512  for (i=0; i < (step-1); i++)
1513  {
1514  q-=GetPixelChannels(image);
1515  SetPixelViaPixelInfo(image,&background,q);
1516  }
1517  break;
1518  }
1519  }
1520  if (SyncCacheViewAuthenticPixels(image_view,exception) == MagickFalse)
1521  status=MagickFalse;
1522  if (image->progress_monitor != (MagickProgressMonitor) NULL)
1523  {
1525  proceed;
1526 
1527 #if defined(MAGICKCORE_OPENMP_SUPPORT)
1528  #pragma omp critical (MagickCore_YShearImage)
1529 #endif
1530  proceed=SetImageProgress(image,YShearImageTag,progress++,image->rows);
1531  if (proceed == MagickFalse)
1532  status=MagickFalse;
1533  }
1534  }
1535  image_view=DestroyCacheView(image_view);
1536  return(status);
1537 }
1538 
1539 /*
1540 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
1541 % %
1542 % %
1543 % %
1544 % S h e a r I m a g e %
1545 % %
1546 % %
1547 % %
1548 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
1549 %
1550 % ShearImage() creates a new image that is a shear_image copy of an existing
1551 % one. Shearing slides one edge of an image along the X or Y axis, creating
1552 % a parallelogram. An X direction shear slides an edge along the X axis,
1553 % while a Y direction shear slides an edge along the Y axis. The amount of
1554 % the shear is controlled by a shear angle. For X direction shears, x_shear
1555 % is measured relative to the Y axis, and similarly, for Y direction shears
1556 % y_shear is measured relative to the X axis. Empty triangles left over from
1557 % shearing the image are filled with the background color defined by member
1558 % 'background_color' of the image.. ShearImage() allocates the memory
1559 % necessary for the new Image structure and returns a pointer to the new image.
1560 %
1561 % ShearImage() is based on the paper "A Fast Algorithm for General Raster
1562 % Rotatation" by Alan W. Paeth.
1563 %
1564 % The format of the ShearImage method is:
1565 %
1566 % Image *ShearImage(const Image *image,const double x_shear,
1567 % const double y_shear,ExceptionInfo *exception)
1568 %
1569 % A description of each parameter follows.
1570 %
1571 % o image: the image.
1572 %
1573 % o x_shear, y_shear: Specifies the number of degrees to shear the image.
1574 %
1575 % o exception: return any errors or warnings in this structure.
1576 %
1577 */
1578 MagickExport Image *ShearImage(const Image *image,const double x_shear,
1579  const double y_shear,ExceptionInfo *exception)
1580 {
1581  Image
1582  *integral_image,
1583  *shear_image;
1584 
1586  status;
1587 
1588  PointInfo
1589  shear;
1590 
1592  border_info,
1593  bounds;
1594 
1595  assert(image != (Image *) NULL);
1596  assert(image->signature == MagickCoreSignature);
1597  if (image->debug != MagickFalse)
1598  (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
1599  assert(exception != (ExceptionInfo *) NULL);
1600  assert(exception->signature == MagickCoreSignature);
1601  if ((x_shear != 0.0) && (fmod(x_shear,90.0) == 0.0))
1602  ThrowImageException(ImageError,"AngleIsDiscontinuous");
1603  if ((y_shear != 0.0) && (fmod(y_shear,90.0) == 0.0))
1604  ThrowImageException(ImageError,"AngleIsDiscontinuous");
1605  /*
1606  Initialize shear angle.
1607  */
1608  integral_image=CloneImage(image,0,0,MagickTrue,exception);
1609  if (integral_image == (Image *) NULL)
1610  ThrowImageException(ResourceLimitError,"MemoryAllocationFailed");
1611  shear.x=(-tan(DegreesToRadians(fmod(x_shear,360.0))));
1612  shear.y=tan(DegreesToRadians(fmod(y_shear,360.0)));
1613  if ((shear.x == 0.0) && (shear.y == 0.0))
1614  return(integral_image);
1615  if (SetImageStorageClass(integral_image,DirectClass,exception) == MagickFalse)
1616  {
1617  integral_image=DestroyImage(integral_image);
1618  return(integral_image);
1619  }
1620  if (integral_image->alpha_trait == UndefinedPixelTrait)
1621  (void) SetImageAlphaChannel(integral_image,OpaqueAlphaChannel,exception);
1622  /*
1623  Compute image size.
1624  */
1625  bounds.width=image->columns+(ssize_t) floor(fabs(shear.x)*image->rows+0.5);
1626  bounds.x=(ssize_t) ceil((double) image->columns+((fabs(shear.x)*image->rows)-
1627  image->columns)/2.0-0.5);
1628  bounds.y=(ssize_t) ceil((double) image->rows+((fabs(shear.y)*bounds.width)-
1629  image->rows)/2.0-0.5);
1630  /*
1631  Surround image with border.
1632  */
1633  integral_image->border_color=integral_image->background_color;
1634  integral_image->compose=CopyCompositeOp;
1635  border_info.width=(size_t) bounds.x;
1636  border_info.height=(size_t) bounds.y;
1637  shear_image=BorderImage(integral_image,&border_info,image->compose,exception);
1638  integral_image=DestroyImage(integral_image);
1639  if (shear_image == (Image *) NULL)
1640  ThrowImageException(ResourceLimitError,"MemoryAllocationFailed");
1641  /*
1642  Shear the image.
1643  */
1644  if (shear_image->alpha_trait == UndefinedPixelTrait)
1645  (void) SetImageAlphaChannel(shear_image,OpaqueAlphaChannel,exception);
1646  status=XShearImage(shear_image,shear.x,image->columns,image->rows,bounds.x,
1647  (ssize_t) (shear_image->rows-image->rows)/2,exception);
1648  if (status == MagickFalse)
1649  {
1650  shear_image=DestroyImage(shear_image);
1651  return((Image *) NULL);
1652  }
1653  status=YShearImage(shear_image,shear.y,bounds.width,image->rows,(ssize_t)
1654  (shear_image->columns-bounds.width)/2,bounds.y,exception);
1655  if (status == MagickFalse)
1656  {
1657  shear_image=DestroyImage(shear_image);
1658  return((Image *) NULL);
1659  }
1660  status=CropToFitImage(&shear_image,shear.x,shear.y,(MagickRealType)
1661  image->columns,(MagickRealType) image->rows,MagickFalse,exception);
1662  shear_image->alpha_trait=image->alpha_trait;
1663  shear_image->compose=image->compose;
1664  shear_image->page.width=0;
1665  shear_image->page.height=0;
1666  if (status == MagickFalse)
1667  shear_image=DestroyImage(shear_image);
1668  return(shear_image);
1669 }
1670 
1671 /*
1672 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
1673 % %
1674 % %
1675 % %
1676 % S h e a r R o t a t e I m a g e %
1677 % %
1678 % %
1679 % %
1680 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
1681 %
1682 % ShearRotateImage() creates a new image that is a rotated copy of an existing
1683 % one. Positive angles rotate counter-clockwise (right-hand rule), while
1684 % negative angles rotate clockwise. Rotated images are usually larger than
1685 % the originals and have 'empty' triangular corners. X axis. Empty
1686 % triangles left over from shearing the image are filled with the background
1687 % color defined by member 'background_color' of the image. ShearRotateImage
1688 % allocates the memory necessary for the new Image structure and returns a
1689 % pointer to the new image.
1690 %
1691 % ShearRotateImage() is based on the paper "A Fast Algorithm for General
1692 % Raster Rotatation" by Alan W. Paeth. ShearRotateImage is adapted from a
1693 % similar method based on the Paeth paper written by Michael Halle of the
1694 % Spatial Imaging Group, MIT Media Lab.
1695 %
1696 % The format of the ShearRotateImage method is:
1697 %
1698 % Image *ShearRotateImage(const Image *image,const double degrees,
1699 % ExceptionInfo *exception)
1700 %
1701 % A description of each parameter follows.
1702 %
1703 % o image: the image.
1704 %
1705 % o degrees: Specifies the number of degrees to rotate the image.
1706 %
1707 % o exception: return any errors or warnings in this structure.
1708 %
1709 */
1710 MagickExport Image *ShearRotateImage(const Image *image,const double degrees,
1711  ExceptionInfo *exception)
1712 {
1713  Image
1714  *integral_image,
1715  *rotate_image;
1716 
1718  status;
1719 
1721  angle;
1722 
1723  PointInfo
1724  shear;
1725 
1727  border_info,
1728  bounds;
1729 
1730  size_t
1731  height,
1732  rotations,
1733  shear_width,
1734  width;
1735 
1736  /*
1737  Adjust rotation angle.
1738  */
1739  assert(image != (Image *) NULL);
1740  assert(image->signature == MagickCoreSignature);
1741  if (image->debug != MagickFalse)
1742  (void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",image->filename);
1743  assert(exception != (ExceptionInfo *) NULL);
1744  assert(exception->signature == MagickCoreSignature);
1745  angle=degrees-360.0*(ssize_t) (degrees/360.0);
1746  if (angle < -45.0)
1747  angle+=360.0;
1748  for (rotations=0; angle > 45.0; rotations++)
1749  angle-=90.0;
1750  rotations%=4;
1751  /*
1752  Calculate shear equations.
1753  */
1754  integral_image=IntegralRotateImage(image,rotations,exception);
1755  if (integral_image == (Image *) NULL)
1756  ThrowImageException(ResourceLimitError,"MemoryAllocationFailed");
1757  shear.x=(-tan((double) DegreesToRadians(angle)/2.0));
1758  shear.y=sin((double) DegreesToRadians(angle));
1759  if ((shear.x == 0.0) && (shear.y == 0.0))
1760  return(integral_image);
1761  if (SetImageStorageClass(integral_image,DirectClass,exception) == MagickFalse)
1762  {
1763  integral_image=DestroyImage(integral_image);
1764  return(integral_image);
1765  }
1766  if (integral_image->alpha_trait == UndefinedPixelTrait)
1767  (void) SetImageAlphaChannel(integral_image,OpaqueAlphaChannel,exception);
1768  /*
1769  Compute maximum bounds for 3 shear operations.
1770  */
1771  width=integral_image->columns;
1772  height=integral_image->rows;
1773  bounds.width=(size_t) floor(fabs((double) height*shear.x)+width+0.5);
1774  bounds.height=(size_t) floor(fabs((double) bounds.width*shear.y)+height+0.5);
1775  shear_width=(size_t) floor(fabs((double) bounds.height*shear.x)+
1776  bounds.width+0.5);
1777  bounds.x=(ssize_t) floor((double) ((shear_width > bounds.width) ? width :
1778  bounds.width-shear_width+2)/2.0+0.5);
1779  bounds.y=(ssize_t) floor(((double) bounds.height-height+2)/2.0+0.5);
1780  /*
1781  Surround image with a border.
1782  */
1783  integral_image->border_color=integral_image->background_color;
1784  integral_image->compose=CopyCompositeOp;
1785  border_info.width=(size_t) bounds.x;
1786  border_info.height=(size_t) bounds.y;
1787  rotate_image=BorderImage(integral_image,&border_info,image->compose,
1788  exception);
1789  integral_image=DestroyImage(integral_image);
1790  if (rotate_image == (Image *) NULL)
1791  ThrowImageException(ResourceLimitError,"MemoryAllocationFailed");
1792  /*
1793  Rotate the image.
1794  */
1795  status=XShearImage(rotate_image,shear.x,width,height,bounds.x,(ssize_t)
1796  (rotate_image->rows-height)/2,exception);
1797  if (status == MagickFalse)
1798  {
1799  rotate_image=DestroyImage(rotate_image);
1800  return((Image *) NULL);
1801  }
1802  status=YShearImage(rotate_image,shear.y,bounds.width,height,(ssize_t)
1803  (rotate_image->columns-bounds.width)/2,bounds.y,exception);
1804  if (status == MagickFalse)
1805  {
1806  rotate_image=DestroyImage(rotate_image);
1807  return((Image *) NULL);
1808  }
1809  status=XShearImage(rotate_image,shear.x,bounds.width,bounds.height,(ssize_t)
1810  (rotate_image->columns-bounds.width)/2,(ssize_t) (rotate_image->rows-
1811  bounds.height)/2,exception);
1812  if (status == MagickFalse)
1813  {
1814  rotate_image=DestroyImage(rotate_image);
1815  return((Image *) NULL);
1816  }
1817  status=CropToFitImage(&rotate_image,shear.x,shear.y,(MagickRealType) width,
1818  (MagickRealType) height,MagickTrue,exception);
1819  rotate_image->alpha_trait=image->alpha_trait;
1820  rotate_image->compose=image->compose;
1821  rotate_image->page.width=0;
1822  rotate_image->page.height=0;
1823  if (status == MagickFalse)
1824  rotate_image=DestroyImage(rotate_image);
1825  return(rotate_image);
1826 }
size_t rows
Definition: image.h:172
#define magick_restrict
Definition: MagickCore.h:41
MagickDoubleType MagickRealType
Definition: magick-type.h:118
MagickExport CacheView * DestroyCacheView(CacheView *cache_view)
Definition: cache-view.c:252
static MagickBooleanType SetImageProgress(const Image *image, const char *tag, const MagickOffsetType offset, const MagickSizeType extent)
double rx
Definition: geometry.h:94
MagickExport Image * DeskewImage(const Image *image, const double threshold, ExceptionInfo *exception)
Definition: shear.c:561
MagickProgressMonitor progress_monitor
Definition: image.h:303
static void GetImageBackgroundColor(Image *image, const ssize_t offset, ExceptionInfo *exception)
Definition: shear.c:500
ImageType type
Definition: image.h:264
MagickExport Image * ShearRotateImage(const Image *image, const double degrees, ExceptionInfo *exception)
Definition: shear.c:1710
static MagickBooleanType RadonTransform(const Image *image, const double threshold, size_t *projection, ExceptionInfo *exception)
Definition: shear.c:325
static Quantum GetPixelAlpha(const Image *magick_restrict image, const Quantum *magick_restrict pixel)
static PixelTrait GetPixelAlphaTraits(const Image *magick_restrict image)
static Quantum GetPixelRed(const Image *magick_restrict image, const Quantum *magick_restrict pixel)
PixelInfo border_color
Definition: image.h:179
MagickExport MagickBooleanType NullMatrix(MatrixInfo *matrix_info)
Definition: matrix.c:1002
double ty
Definition: geometry.h:94
size_t signature
Definition: exception.h:123
MagickExport MagickStatusType ParseAbsoluteGeometry(const char *geometry, RectangleInfo *region_info)
Definition: geometry.c:686
static void RadonProjection(const Image *image, MatrixInfo *source_matrixs, MatrixInfo *destination_matrixs, const ssize_t sign, size_t *projection)
Definition: shear.c:216
MagickPrivate void GetPixelCacheTileSize(const Image *, size_t *, size_t *)
MagickExport MagickBooleanType SetImageArtifact(Image *image, const char *artifact, const char *value)
Definition: artifact.c:445
MagickExport const char * GetImageArtifact(const Image *image, const char *artifact)
Definition: artifact.c:273
MagickRealType red
Definition: pixel.h:188
#define XShearImageTag
static PixelTrait GetPixelChannelTraits(const Image *magick_restrict image, const PixelChannel channel)
static MagickBooleanType XShearImage(Image *image, const double degrees, const size_t width, const size_t height, const ssize_t x_offset, const ssize_t y_offset, ExceptionInfo *exception)
Definition: shear.c:1141
MagickExport ssize_t FormatLocaleString(char *magick_restrict string, const size_t length, const char *magick_restrict format,...)
Definition: locale.c:473
static void SetPixelViaPixelInfo(const Image *magick_restrict image, const PixelInfo *magick_restrict pixel_info, Quantum *magick_restrict pixel)
MagickExport const Quantum * GetCacheViewVirtualPixels(const CacheView *cache_view, const ssize_t x, const ssize_t y, const size_t columns, const size_t rows, ExceptionInfo *exception)
Definition: cache-view.c:651
static long StringToLong(const char *magick_restrict value)
MagickRealType alpha
Definition: pixel.h:188
MagickExport size_t GetMatrixColumns(const MatrixInfo *matrix_info)
Definition: matrix.c:609
MagickExport MagickBooleanType GetMatrixElement(const MatrixInfo *matrix_info, const ssize_t x, const ssize_t y, void *value)
Definition: matrix.c:705
size_t width
Definition: geometry.h:129
Definition: log.h:52
ssize_t MagickOffsetType
Definition: magick-type.h:127
MagickExport void GetPixelInfo(const Image *image, PixelInfo *pixel)
Definition: pixel.c:2161
Definition: image.h:151
double tx
Definition: geometry.h:94
MagickExport MagickBooleanType SetMatrixElement(const MatrixInfo *matrix_info, const ssize_t x, const ssize_t y, const void *value)
Definition: matrix.c:1109
MagickExport Image * AffineTransformImage(const Image *image, const AffineMatrix *affine_matrix, ExceptionInfo *exception)
Definition: distort.c:284
MagickExport Image * CropImage(const Image *image, const RectangleInfo *geometry, ExceptionInfo *exception)
Definition: transform.c:533
double x
Definition: geometry.h:122
#define MagickCoreSignature
MagickExport Quantum * GetCacheViewAuthenticPixels(CacheView *cache_view, const ssize_t x, const ssize_t y, const size_t columns, const size_t rows, ExceptionInfo *exception)
Definition: cache-view.c:299
MagickExport MagickBooleanType SetImageAlphaChannel(Image *image, const AlphaChannelOption alpha_type, ExceptionInfo *exception)
Definition: channel.c:966
MagickBooleanType
Definition: magick-type.h:156
MagickExport Image * IntegralRotateImage(const Image *image, size_t rotations, ExceptionInfo *exception)
Definition: shear.c:706
#define YShearImageTag
static Quantum GetPixelWriteMask(const Image *magick_restrict image, const Quantum *magick_restrict pixel)
MagickExport void * AcquireQuantumMemory(const size_t count, const size_t quantum)
Definition: memory.c:529
static double DegreesToRadians(const double degrees)
Definition: image-private.h:56
double y
Definition: geometry.h:122
RectangleInfo page
Definition: image.h:212
#define MagickPathExtent
double ry
Definition: geometry.h:94
static Quantum GetPixelGreen(const Image *magick_restrict image, const Quantum *magick_restrict pixel)
MagickExport MagickBooleanType IsStringTrue(const char *value)
Definition: string.c:1464
static void CompositePixelInfoAreaBlend(const PixelInfo *p, const double alpha, const PixelInfo *q, const double beta, const double area, PixelInfo *composite)
static void GetPixelInfoPixel(const Image *magick_restrict image, const Quantum *magick_restrict pixel, PixelInfo *magick_restrict pixel_info)
PixelTrait alpha_trait
Definition: image.h:280
static MagickBooleanType YShearImage(Image *image, const double degrees, const size_t width, const size_t height, const ssize_t x_offset, const ssize_t y_offset, ExceptionInfo *exception)
Definition: shear.c:1357
MagickRealType blue
Definition: pixel.h:188
MagickExport Quantum * QueueCacheViewAuthenticPixels(CacheView *cache_view, const ssize_t x, const ssize_t y, const size_t columns, const size_t rows, ExceptionInfo *exception)
Definition: cache-view.c:977
MagickExport VirtualPixelMethod SetImageVirtualPixelMethod(Image *image, const VirtualPixelMethod virtual_pixel_method, ExceptionInfo *exception)
Definition: image.c:3315
double sx
Definition: geometry.h:94
MagickExport MatrixInfo * AcquireMatrixInfo(const size_t columns, const size_t rows, const size_t stride, ExceptionInfo *exception)
Definition: matrix.c:200
MagickExport MagickBooleanType LogMagickEvent(const LogEventType type, const char *module, const char *function, const size_t line, const char *format,...)
Definition: log.c:1397
size_t signature
Definition: image.h:354
#define QuantumScale
Definition: magick-type.h:113
size_t columns
Definition: image.h:172
MagickBooleanType(* MagickProgressMonitor)(const char *, const MagickOffsetType, const MagickSizeType, void *)
Definition: monitor.h:26
ssize_t x
Definition: geometry.h:133
size_t height
Definition: geometry.h:129
MagickExport MagickBooleanType SetImageStorageClass(Image *image, const ClassType storage_class, ExceptionInfo *exception)
Definition: image.c:2508
PixelChannel
Definition: pixel.h:66
static size_t GetPixelChannels(const Image *magick_restrict image)
char filename[MagickPathExtent]
Definition: image.h:319
#define GetMagickModule()
Definition: log.h:28
double sy
Definition: geometry.h:94
#define ThrowImageException(severity, tag)
static Quantum ClampToQuantum(const MagickRealType value)
Definition: quantum.h:84
static PixelChannel GetPixelChannelChannel(const Image *magick_restrict image, const ssize_t offset)
MagickExport CacheView * AcquireVirtualCacheView(const Image *image, ExceptionInfo *exception)
Definition: cache-view.c:149
MagickExport Image * ShearImage(const Image *image, const double x_shear, const double y_shear, ExceptionInfo *exception)
Definition: shear.c:1578
static double RadiansToDegrees(const double radians)
Definition: image-private.h:61
unsigned short Quantum
Definition: magick-type.h:82
MagickExport RectangleInfo GetImageBoundingBox(const Image *image, ExceptionInfo *exception)
Definition: attribute.c:125
MagickExport Image * BorderImage(const Image *image, const RectangleInfo *border_info, const CompositeOperator compose, ExceptionInfo *exception)
Definition: decorate.c:103
#define RotateImageTag
static void SetPixelChannel(const Image *magick_restrict image, const PixelChannel channel, const Quantum quantum, Quantum *magick_restrict pixel)
MagickExport void * RelinquishMagickMemory(void *memory)
Definition: memory.c:1038
MagickRealType green
Definition: pixel.h:188
#define Swap(x, y)
Definition: studio.h:339
static MagickBooleanType CropToFitImage(Image **image, const double x_shear, const double y_shear, const double width, const double height, const MagickBooleanType rotate, ExceptionInfo *exception)
Definition: shear.c:113
CompositeOperator compose
Definition: image.h:234
#define MagickExport
MagickExport MagickBooleanType SyncCacheViewAuthenticPixels(CacheView *magick_restrict cache_view, ExceptionInfo *exception)
Definition: cache-view.c:1100
ssize_t y
Definition: geometry.h:133
MagickExport CacheView * AcquireAuthenticCacheView(const Image *image, ExceptionInfo *exception)
Definition: cache-view.c:112
static Quantum GetPixelBlue(const Image *magick_restrict image, const Quantum *magick_restrict pixel)
PixelTrait
Definition: pixel.h:132
PixelInfo background_color
Definition: image.h:179
MagickExport Image * DestroyImage(Image *image)
Definition: image.c:1182
MagickExport Image * CloneImage(const Image *image, const size_t columns, const size_t rows, const MagickBooleanType detach, ExceptionInfo *exception)
Definition: image.c:799
MagickExport Image * StatisticImage(const Image *image, const StatisticType type, const size_t width, const size_t height, ExceptionInfo *exception)
Definition: statistic.c:2880
#define QuantumRange
Definition: magick-type.h:83
MagickBooleanType debug
Definition: image.h:334
MagickExport size_t GetMatrixRows(const MatrixInfo *matrix_info)
Definition: matrix.c:751
MagickExport MatrixInfo * DestroyMatrixInfo(MatrixInfo *matrix_info)
Definition: matrix.c:369