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1 /****************************************************************************
2  *
3  * afhints.c
4  *
5  *   Auto-fitter hinting routines (body).
6  *
7  * Copyright (C) 2003-2020 by
8  * David Turner, Robert Wilhelm, and Werner Lemberg.
9  *
10  * This file is part of the FreeType project, and may only be used,
11  * modified, and distributed under the terms of the FreeType project
12  * license, LICENSE.TXT.  By continuing to use, modify, or distribute
13  * this file you indicate that you have read the license and
14  * understand and accept it fully.
15  *
16  */
17 
18 
19 #include "afhints.h"
20 #include "aferrors.h"
21 #include <freetype/internal/ftcalc.h>
22 #include <freetype/internal/ftdebug.h>
23 
24 
25   /**************************************************************************
26    *
27    * The macro FT_COMPONENT is used in trace mode.  It is an implicit
28    * parameter of the FT_TRACE() and FT_ERROR() macros, used to print/log
29    * messages during execution.
30    */
31 #undef  FT_COMPONENT
32 #define FT_COMPONENT  afhints
33 
34 
35   /* Get new segment for given axis. */
36 
37   FT_LOCAL_DEF( FT_Error )
af_axis_hints_new_segment(AF_AxisHints axis,FT_Memory memory,AF_Segment * asegment)38   af_axis_hints_new_segment( AF_AxisHints  axis,
39                              FT_Memory     memory,
40                              AF_Segment   *asegment )
41   {
42     FT_Error    error   = FT_Err_Ok;
43     AF_Segment  segment = NULL;
44 
45 
46     if ( axis->num_segments < AF_SEGMENTS_EMBEDDED )
47     {
48       if ( !axis->segments )
49       {
50         axis->segments     = axis->embedded.segments;
51         axis->max_segments = AF_SEGMENTS_EMBEDDED;
52       }
53     }
54     else if ( axis->num_segments >= axis->max_segments )
55     {
56       FT_Int  old_max = axis->max_segments;
57       FT_Int  new_max = old_max;
58       FT_Int  big_max = (FT_Int)( FT_INT_MAX / sizeof ( *segment ) );
59 
60 
61       if ( old_max >= big_max )
62       {
63         error = FT_THROW( Out_Of_Memory );
64         goto Exit;
65       }
66 
67       new_max += ( new_max >> 2 ) + 4;
68       if ( new_max < old_max || new_max > big_max )
69         new_max = big_max;
70 
71       if ( axis->segments == axis->embedded.segments )
72       {
73         if ( FT_NEW_ARRAY( axis->segments, new_max ) )
74           goto Exit;
75         ft_memcpy( axis->segments, axis->embedded.segments,
76                    sizeof ( axis->embedded.segments ) );
77       }
78       else
79       {
80         if ( FT_RENEW_ARRAY( axis->segments, old_max, new_max ) )
81           goto Exit;
82       }
83 
84       axis->max_segments = new_max;
85     }
86 
87     segment = axis->segments + axis->num_segments++;
88 
89   Exit:
90     *asegment = segment;
91     return error;
92   }
93 
94 
95   /* Get new edge for given axis, direction, and position, */
96   /* without initializing the edge itself.                 */
97 
98   FT_LOCAL( FT_Error )
af_axis_hints_new_edge(AF_AxisHints axis,FT_Int fpos,AF_Direction dir,FT_Bool top_to_bottom_hinting,FT_Memory memory,AF_Edge * anedge)99   af_axis_hints_new_edge( AF_AxisHints  axis,
100                           FT_Int        fpos,
101                           AF_Direction  dir,
102                           FT_Bool       top_to_bottom_hinting,
103                           FT_Memory     memory,
104                           AF_Edge      *anedge )
105   {
106     FT_Error  error = FT_Err_Ok;
107     AF_Edge   edge  = NULL;
108     AF_Edge   edges;
109 
110 
111     if ( axis->num_edges < AF_EDGES_EMBEDDED )
112     {
113       if ( !axis->edges )
114       {
115         axis->edges     = axis->embedded.edges;
116         axis->max_edges = AF_EDGES_EMBEDDED;
117       }
118     }
119     else if ( axis->num_edges >= axis->max_edges )
120     {
121       FT_Int  old_max = axis->max_edges;
122       FT_Int  new_max = old_max;
123       FT_Int  big_max = (FT_Int)( FT_INT_MAX / sizeof ( *edge ) );
124 
125 
126       if ( old_max >= big_max )
127       {
128         error = FT_THROW( Out_Of_Memory );
129         goto Exit;
130       }
131 
132       new_max += ( new_max >> 2 ) + 4;
133       if ( new_max < old_max || new_max > big_max )
134         new_max = big_max;
135 
136       if ( axis->edges == axis->embedded.edges )
137       {
138         if ( FT_NEW_ARRAY( axis->edges, new_max ) )
139           goto Exit;
140         ft_memcpy( axis->edges, axis->embedded.edges,
141                    sizeof ( axis->embedded.edges ) );
142       }
143       else
144       {
145         if ( FT_RENEW_ARRAY( axis->edges, old_max, new_max ) )
146           goto Exit;
147       }
148 
149       axis->max_edges = new_max;
150     }
151 
152     edges = axis->edges;
153     edge  = edges + axis->num_edges;
154 
155     while ( edge > edges )
156     {
157       if ( top_to_bottom_hinting ? ( edge[-1].fpos > fpos )
158                                  : ( edge[-1].fpos < fpos ) )
159         break;
160 
161       /* we want the edge with same position and minor direction */
162       /* to appear before those in the major one in the list     */
163       if ( edge[-1].fpos == fpos && dir == axis->major_dir )
164         break;
165 
166       edge[0] = edge[-1];
167       edge--;
168     }
169 
170     axis->num_edges++;
171 
172   Exit:
173     *anedge = edge;
174     return error;
175   }
176 
177 
178 #ifdef FT_DEBUG_AUTOFIT
179 
180 #include FT_CONFIG_STANDARD_LIBRARY_H
181 
182   /* The dump functions are used in the `ftgrid' demo program, too. */
183 #define AF_DUMP( varformat )          \
184           do                          \
185           {                           \
186             if ( to_stdout )          \
187               printf varformat;       \
188             else                      \
189               FT_TRACE7( varformat ); \
190           } while ( 0 )
191 
192 
193   static const char*
af_dir_str(AF_Direction dir)194   af_dir_str( AF_Direction  dir )
195   {
196     const char*  result;
197 
198 
199     switch ( dir )
200     {
201     case AF_DIR_UP:
202       result = "up";
203       break;
204     case AF_DIR_DOWN:
205       result = "down";
206       break;
207     case AF_DIR_LEFT:
208       result = "left";
209       break;
210     case AF_DIR_RIGHT:
211       result = "right";
212       break;
213     default:
214       result = "none";
215     }
216 
217     return result;
218   }
219 
220 
221 #define AF_INDEX_NUM( ptr, base )  (int)( (ptr) ? ( (ptr) - (base) ) : -1 )
222 
223 
224   static char*
af_print_idx(char * p,int idx)225   af_print_idx( char* p,
226                 int   idx )
227   {
228     if ( idx == -1 )
229     {
230       p[0] = '-';
231       p[1] = '-';
232       p[2] = '\0';
233     }
234     else
235       ft_sprintf( p, "%d", idx );
236 
237     return p;
238   }
239 
240 
241   static int
af_get_segment_index(AF_GlyphHints hints,int point_idx,int dimension)242   af_get_segment_index( AF_GlyphHints  hints,
243                         int            point_idx,
244                         int            dimension )
245   {
246     AF_AxisHints  axis     = &hints->axis[dimension];
247     AF_Point      point    = hints->points + point_idx;
248     AF_Segment    segments = axis->segments;
249     AF_Segment    limit    = segments + axis->num_segments;
250     AF_Segment    segment;
251 
252 
253     for ( segment = segments; segment < limit; segment++ )
254     {
255       if ( segment->first <= segment->last )
256       {
257         if ( point >= segment->first && point <= segment->last )
258           break;
259       }
260       else
261       {
262         AF_Point  p = segment->first;
263 
264 
265         for (;;)
266         {
267           if ( point == p )
268             goto Exit;
269 
270           if ( p == segment->last )
271             break;
272 
273           p = p->next;
274         }
275       }
276     }
277 
278   Exit:
279     if ( segment == limit )
280       return -1;
281 
282     return (int)( segment - segments );
283   }
284 
285 
286   static int
af_get_edge_index(AF_GlyphHints hints,int segment_idx,int dimension)287   af_get_edge_index( AF_GlyphHints  hints,
288                      int            segment_idx,
289                      int            dimension )
290   {
291     AF_AxisHints  axis    = &hints->axis[dimension];
292     AF_Edge       edges   = axis->edges;
293     AF_Segment    segment = axis->segments + segment_idx;
294 
295 
296     return segment_idx == -1 ? -1 : AF_INDEX_NUM( segment->edge, edges );
297   }
298 
299 
300   static int
af_get_strong_edge_index(AF_GlyphHints hints,AF_Edge * strong_edges,int dimension)301   af_get_strong_edge_index( AF_GlyphHints  hints,
302                             AF_Edge*       strong_edges,
303                             int            dimension )
304   {
305     AF_AxisHints  axis  = &hints->axis[dimension];
306     AF_Edge       edges = axis->edges;
307 
308 
309     return AF_INDEX_NUM( strong_edges[dimension], edges );
310   }
311 
312 
313 #ifdef __cplusplus
314   extern "C" {
315 #endif
316   void
af_glyph_hints_dump_points(AF_GlyphHints hints,FT_Bool to_stdout)317   af_glyph_hints_dump_points( AF_GlyphHints  hints,
318                               FT_Bool        to_stdout )
319   {
320     AF_Point   points  = hints->points;
321     AF_Point   limit   = points + hints->num_points;
322     AF_Point*  contour = hints->contours;
323     AF_Point*  climit  = contour + hints->num_contours;
324     AF_Point   point;
325 
326 
327     AF_DUMP(( "Table of points:\n" ));
328 
329     if ( hints->num_points )
330     {
331       AF_DUMP(( "  index  hedge  hseg  vedge  vseg  flags "
332              /* "  XXXXX  XXXXX XXXXX  XXXXX XXXXX  XXXXXX" */
333                 "  xorg  yorg  xscale  yscale   xfit    yfit "
334              /* " XXXXX XXXXX XXXX.XX XXXX.XX XXXX.XX XXXX.XX" */
335                 "  hbef  haft  vbef  vaft" ));
336              /* " XXXXX XXXXX XXXXX XXXXX" */
337     }
338     else
339       AF_DUMP(( "  (none)\n" ));
340 
341     for ( point = points; point < limit; point++ )
342     {
343       int  point_idx     = AF_INDEX_NUM( point, points );
344       int  segment_idx_0 = af_get_segment_index( hints, point_idx, 0 );
345       int  segment_idx_1 = af_get_segment_index( hints, point_idx, 1 );
346 
347       char  buf1[16], buf2[16], buf3[16], buf4[16];
348       char  buf5[16], buf6[16], buf7[16], buf8[16];
349 
350 
351       /* insert extra newline at the beginning of a contour */
352       if ( contour < climit && *contour == point )
353       {
354         AF_DUMP(( "\n" ));
355         contour++;
356       }
357 
358       AF_DUMP(( "  %5d  %5s %5s  %5s %5s  %s"
359                 " %5d %5d %7.2f %7.2f %7.2f %7.2f"
360                 " %5s %5s %5s %5s\n",
361                 point_idx,
362                 af_print_idx( buf1,
363                               af_get_edge_index( hints, segment_idx_1, 1 ) ),
364                 af_print_idx( buf2, segment_idx_1 ),
365                 af_print_idx( buf3,
366                               af_get_edge_index( hints, segment_idx_0, 0 ) ),
367                 af_print_idx( buf4, segment_idx_0 ),
368                 ( point->flags & AF_FLAG_NEAR )
369                   ? " near "
370                   : ( point->flags & AF_FLAG_WEAK_INTERPOLATION )
371                     ? " weak "
372                     : "strong",
373 
374                 point->fx,
375                 point->fy,
376                 point->ox / 64.0,
377                 point->oy / 64.0,
378                 point->x / 64.0,
379                 point->y / 64.0,
380 
381                 af_print_idx( buf5, af_get_strong_edge_index( hints,
382                                                               point->before,
383                                                               1 ) ),
384                 af_print_idx( buf6, af_get_strong_edge_index( hints,
385                                                               point->after,
386                                                               1 ) ),
387                 af_print_idx( buf7, af_get_strong_edge_index( hints,
388                                                               point->before,
389                                                               0 ) ),
390                 af_print_idx( buf8, af_get_strong_edge_index( hints,
391                                                               point->after,
392                                                               0 ) ) ));
393     }
394     AF_DUMP(( "\n" ));
395   }
396 #ifdef __cplusplus
397   }
398 #endif
399 
400 
401   static const char*
af_edge_flags_to_string(FT_UInt flags)402   af_edge_flags_to_string( FT_UInt  flags )
403   {
404     static char  temp[32];
405     int          pos = 0;
406 
407 
408     if ( flags & AF_EDGE_ROUND )
409     {
410       ft_memcpy( temp + pos, "round", 5 );
411       pos += 5;
412     }
413     if ( flags & AF_EDGE_SERIF )
414     {
415       if ( pos > 0 )
416         temp[pos++] = ' ';
417       ft_memcpy( temp + pos, "serif", 5 );
418       pos += 5;
419     }
420     if ( pos == 0 )
421       return "normal";
422 
423     temp[pos] = '\0';
424 
425     return temp;
426   }
427 
428 
429   /* Dump the array of linked segments. */
430 
431 #ifdef __cplusplus
432   extern "C" {
433 #endif
434   void
af_glyph_hints_dump_segments(AF_GlyphHints hints,FT_Bool to_stdout)435   af_glyph_hints_dump_segments( AF_GlyphHints  hints,
436                                 FT_Bool        to_stdout )
437   {
438     FT_Int  dimension;
439 
440 
441     for ( dimension = 1; dimension >= 0; dimension-- )
442     {
443       AF_AxisHints  axis     = &hints->axis[dimension];
444       AF_Point      points   = hints->points;
445       AF_Edge       edges    = axis->edges;
446       AF_Segment    segments = axis->segments;
447       AF_Segment    limit    = segments + axis->num_segments;
448       AF_Segment    seg;
449 
450       char  buf1[16], buf2[16], buf3[16];
451 
452 
453       AF_DUMP(( "Table of %s segments:\n",
454                 dimension == AF_DIMENSION_HORZ ? "vertical"
455                                                : "horizontal" ));
456       if ( axis->num_segments )
457       {
458         AF_DUMP(( "  index   pos   delta   dir   from   to "
459                /* "  XXXXX  XXXXX  XXXXX  XXXXX  XXXX  XXXX" */
460                   "  link  serif  edge"
461                /* "  XXXX  XXXXX  XXXX" */
462                   "  height  extra     flags\n" ));
463                /* "  XXXXXX  XXXXX  XXXXXXXXXXX" */
464       }
465       else
466         AF_DUMP(( "  (none)\n" ));
467 
468       for ( seg = segments; seg < limit; seg++ )
469         AF_DUMP(( "  %5d  %5d  %5d  %5s  %4d  %4d"
470                   "  %4s  %5s  %4s"
471                   "  %6d  %5d  %11s\n",
472                   AF_INDEX_NUM( seg, segments ),
473                   seg->pos,
474                   seg->delta,
475                   af_dir_str( (AF_Direction)seg->dir ),
476                   AF_INDEX_NUM( seg->first, points ),
477                   AF_INDEX_NUM( seg->last, points ),
478 
479                   af_print_idx( buf1, AF_INDEX_NUM( seg->link, segments ) ),
480                   af_print_idx( buf2, AF_INDEX_NUM( seg->serif, segments ) ),
481                   af_print_idx( buf3, AF_INDEX_NUM( seg->edge, edges ) ),
482 
483                   seg->height,
484                   seg->height - ( seg->max_coord - seg->min_coord ),
485                   af_edge_flags_to_string( seg->flags ) ));
486       AF_DUMP(( "\n" ));
487     }
488   }
489 #ifdef __cplusplus
490   }
491 #endif
492 
493 
494   /* Fetch number of segments. */
495 
496 #ifdef __cplusplus
497   extern "C" {
498 #endif
499   FT_Error
af_glyph_hints_get_num_segments(AF_GlyphHints hints,FT_Int dimension,FT_Int * num_segments)500   af_glyph_hints_get_num_segments( AF_GlyphHints  hints,
501                                    FT_Int         dimension,
502                                    FT_Int*        num_segments )
503   {
504     AF_Dimension  dim;
505     AF_AxisHints  axis;
506 
507 
508     dim = ( dimension == 0 ) ? AF_DIMENSION_HORZ : AF_DIMENSION_VERT;
509 
510     axis          = &hints->axis[dim];
511     *num_segments = axis->num_segments;
512 
513     return FT_Err_Ok;
514   }
515 #ifdef __cplusplus
516   }
517 #endif
518 
519 
520   /* Fetch offset of segments into user supplied offset array. */
521 
522 #ifdef __cplusplus
523   extern "C" {
524 #endif
525   FT_Error
af_glyph_hints_get_segment_offset(AF_GlyphHints hints,FT_Int dimension,FT_Int idx,FT_Pos * offset,FT_Bool * is_blue,FT_Pos * blue_offset)526   af_glyph_hints_get_segment_offset( AF_GlyphHints  hints,
527                                      FT_Int         dimension,
528                                      FT_Int         idx,
529                                      FT_Pos        *offset,
530                                      FT_Bool       *is_blue,
531                                      FT_Pos        *blue_offset )
532   {
533     AF_Dimension  dim;
534     AF_AxisHints  axis;
535     AF_Segment    seg;
536 
537 
538     if ( !offset )
539       return FT_THROW( Invalid_Argument );
540 
541     dim = ( dimension == 0 ) ? AF_DIMENSION_HORZ : AF_DIMENSION_VERT;
542 
543     axis = &hints->axis[dim];
544 
545     if ( idx < 0 || idx >= axis->num_segments )
546       return FT_THROW( Invalid_Argument );
547 
548     seg      = &axis->segments[idx];
549     *offset  = ( dim == AF_DIMENSION_HORZ ) ? seg->first->fx
550                                             : seg->first->fy;
551     if ( seg->edge )
552       *is_blue = FT_BOOL( seg->edge->blue_edge );
553     else
554       *is_blue = FALSE;
555 
556     if ( *is_blue )
557       *blue_offset = seg->edge->blue_edge->org;
558     else
559       *blue_offset = 0;
560 
561     return FT_Err_Ok;
562   }
563 #ifdef __cplusplus
564   }
565 #endif
566 
567 
568   /* Dump the array of linked edges. */
569 
570 #ifdef __cplusplus
571   extern "C" {
572 #endif
573   void
af_glyph_hints_dump_edges(AF_GlyphHints hints,FT_Bool to_stdout)574   af_glyph_hints_dump_edges( AF_GlyphHints  hints,
575                              FT_Bool        to_stdout )
576   {
577     FT_Int  dimension;
578 
579 
580     for ( dimension = 1; dimension >= 0; dimension-- )
581     {
582       AF_AxisHints  axis  = &hints->axis[dimension];
583       AF_Edge       edges = axis->edges;
584       AF_Edge       limit = edges + axis->num_edges;
585       AF_Edge       edge;
586 
587       char  buf1[16], buf2[16];
588 
589 
590       /*
591        * note: AF_DIMENSION_HORZ corresponds to _vertical_ edges
592        *       since they have a constant X coordinate.
593        */
594       if ( dimension == AF_DIMENSION_HORZ )
595         AF_DUMP(( "Table of %s edges (1px=%.2fu, 10u=%.2fpx):\n",
596                   "vertical",
597                   65536.0 * 64.0 / hints->x_scale,
598                   10.0 * hints->x_scale / 65536.0 / 64.0 ));
599       else
600         AF_DUMP(( "Table of %s edges (1px=%.2fu, 10u=%.2fpx):\n",
601                   "horizontal",
602                   65536.0 * 64.0 / hints->y_scale,
603                   10.0 * hints->y_scale / 65536.0 / 64.0 ));
604 
605       if ( axis->num_edges )
606       {
607         AF_DUMP(( "  index    pos     dir   link  serif"
608                /* "  XXXXX  XXXX.XX  XXXXX  XXXX  XXXXX" */
609                   "  blue    opos     pos       flags\n" ));
610                /* "    X   XXXX.XX  XXXX.XX  XXXXXXXXXXX" */
611       }
612       else
613         AF_DUMP(( "  (none)\n" ));
614 
615       for ( edge = edges; edge < limit; edge++ )
616         AF_DUMP(( "  %5d  %7.2f  %5s  %4s  %5s"
617                   "    %c   %7.2f  %7.2f  %11s\n",
618                   AF_INDEX_NUM( edge, edges ),
619                   (int)edge->opos / 64.0,
620                   af_dir_str( (AF_Direction)edge->dir ),
621                   af_print_idx( buf1, AF_INDEX_NUM( edge->link, edges ) ),
622                   af_print_idx( buf2, AF_INDEX_NUM( edge->serif, edges ) ),
623 
624                   edge->blue_edge ? 'y' : 'n',
625                   edge->opos / 64.0,
626                   edge->pos / 64.0,
627                   af_edge_flags_to_string( edge->flags ) ));
628       AF_DUMP(( "\n" ));
629     }
630   }
631 #ifdef __cplusplus
632   }
633 #endif
634 
635 #undef AF_DUMP
636 
637 #endif /* !FT_DEBUG_AUTOFIT */
638 
639 
640   /* Compute the direction value of a given vector. */
641 
642   FT_LOCAL_DEF( AF_Direction )
af_direction_compute(FT_Pos dx,FT_Pos dy)643   af_direction_compute( FT_Pos  dx,
644                         FT_Pos  dy )
645   {
646     FT_Pos        ll, ss;  /* long and short arm lengths */
647     AF_Direction  dir;     /* candidate direction        */
648 
649 
650     if ( dy >= dx )
651     {
652       if ( dy >= -dx )
653       {
654         dir = AF_DIR_UP;
655         ll  = dy;
656         ss  = dx;
657       }
658       else
659       {
660         dir = AF_DIR_LEFT;
661         ll  = -dx;
662         ss  = dy;
663       }
664     }
665     else /* dy < dx */
666     {
667       if ( dy >= -dx )
668       {
669         dir = AF_DIR_RIGHT;
670         ll  = dx;
671         ss  = dy;
672       }
673       else
674       {
675         dir = AF_DIR_DOWN;
676         ll  = -dy;
677         ss  = dx;
678       }
679     }
680 
681     /* return no direction if arm lengths do not differ enough       */
682     /* (value 14 is heuristic, corresponding to approx. 4.1 degrees) */
683     /* the long arm is never negative                                */
684     if ( ll <= 14 * FT_ABS( ss ) )
685       dir = AF_DIR_NONE;
686 
687     return dir;
688   }
689 
690 
691   FT_LOCAL_DEF( void )
af_glyph_hints_init(AF_GlyphHints hints,FT_Memory memory)692   af_glyph_hints_init( AF_GlyphHints  hints,
693                        FT_Memory      memory )
694   {
695     /* no need to initialize the embedded items */
696     FT_MEM_ZERO( hints, sizeof ( *hints ) - sizeof ( hints->embedded ) );
697     hints->memory = memory;
698   }
699 
700 
701   FT_LOCAL_DEF( void )
af_glyph_hints_done(AF_GlyphHints hints)702   af_glyph_hints_done( AF_GlyphHints  hints )
703   {
704     FT_Memory  memory;
705     int        dim;
706 
707 
708     if ( !( hints && hints->memory ) )
709       return;
710 
711     memory = hints->memory;
712 
713     /*
714      * note that we don't need to free the segment and edge
715      * buffers since they are really within the hints->points array
716      */
717     for ( dim = 0; dim < AF_DIMENSION_MAX; dim++ )
718     {
719       AF_AxisHints  axis = &hints->axis[dim];
720 
721 
722       axis->num_segments = 0;
723       axis->max_segments = 0;
724       if ( axis->segments != axis->embedded.segments )
725         FT_FREE( axis->segments );
726 
727       axis->num_edges = 0;
728       axis->max_edges = 0;
729       if ( axis->edges != axis->embedded.edges )
730         FT_FREE( axis->edges );
731     }
732 
733     if ( hints->contours != hints->embedded.contours )
734       FT_FREE( hints->contours );
735     hints->max_contours = 0;
736     hints->num_contours = 0;
737 
738     if ( hints->points != hints->embedded.points )
739       FT_FREE( hints->points );
740     hints->max_points = 0;
741     hints->num_points = 0;
742 
743     hints->memory = NULL;
744   }
745 
746 
747   /* Reset metrics. */
748 
749   FT_LOCAL_DEF( void )
af_glyph_hints_rescale(AF_GlyphHints hints,AF_StyleMetrics metrics)750   af_glyph_hints_rescale( AF_GlyphHints    hints,
751                           AF_StyleMetrics  metrics )
752   {
753     hints->metrics      = metrics;
754     hints->scaler_flags = metrics->scaler.flags;
755   }
756 
757 
758   /* Recompute all AF_Point in AF_GlyphHints from the definitions */
759   /* in a source outline.                                         */
760 
761   FT_LOCAL_DEF( FT_Error )
af_glyph_hints_reload(AF_GlyphHints hints,FT_Outline * outline)762   af_glyph_hints_reload( AF_GlyphHints  hints,
763                          FT_Outline*    outline )
764   {
765     FT_Error   error   = FT_Err_Ok;
766     AF_Point   points;
767     FT_UInt    old_max, new_max;
768     FT_Fixed   x_scale = hints->x_scale;
769     FT_Fixed   y_scale = hints->y_scale;
770     FT_Pos     x_delta = hints->x_delta;
771     FT_Pos     y_delta = hints->y_delta;
772     FT_Memory  memory  = hints->memory;
773 
774 
775     hints->num_points   = 0;
776     hints->num_contours = 0;
777 
778     hints->axis[0].num_segments = 0;
779     hints->axis[0].num_edges    = 0;
780     hints->axis[1].num_segments = 0;
781     hints->axis[1].num_edges    = 0;
782 
783     /* first of all, reallocate the contours array if necessary */
784     new_max = (FT_UInt)outline->n_contours;
785     old_max = (FT_UInt)hints->max_contours;
786 
787     if ( new_max <= AF_CONTOURS_EMBEDDED )
788     {
789       if ( !hints->contours )
790       {
791         hints->contours     = hints->embedded.contours;
792         hints->max_contours = AF_CONTOURS_EMBEDDED;
793       }
794     }
795     else if ( new_max > old_max )
796     {
797       if ( hints->contours == hints->embedded.contours )
798         hints->contours = NULL;
799 
800       new_max = ( new_max + 3 ) & ~3U; /* round up to a multiple of 4 */
801 
802       if ( FT_RENEW_ARRAY( hints->contours, old_max, new_max ) )
803         goto Exit;
804 
805       hints->max_contours = (FT_Int)new_max;
806     }
807 
808     /*
809      * then reallocate the points arrays if necessary --
810      * note that we reserve two additional point positions, used to
811      * hint metrics appropriately
812      */
813     new_max = (FT_UInt)( outline->n_points + 2 );
814     old_max = (FT_UInt)hints->max_points;
815 
816     if ( new_max <= AF_POINTS_EMBEDDED )
817     {
818       if ( !hints->points )
819       {
820         hints->points     = hints->embedded.points;
821         hints->max_points = AF_POINTS_EMBEDDED;
822       }
823     }
824     else if ( new_max > old_max )
825     {
826       if ( hints->points == hints->embedded.points )
827         hints->points = NULL;
828 
829       new_max = ( new_max + 2 + 7 ) & ~7U; /* round up to a multiple of 8 */
830 
831       if ( FT_RENEW_ARRAY( hints->points, old_max, new_max ) )
832         goto Exit;
833 
834       hints->max_points = (FT_Int)new_max;
835     }
836 
837     hints->num_points   = outline->n_points;
838     hints->num_contours = outline->n_contours;
839 
840     /* We can't rely on the value of `FT_Outline.flags' to know the fill   */
841     /* direction used for a glyph, given that some fonts are broken (e.g., */
842     /* the Arphic ones).  We thus recompute it each time we need to.       */
843     /*                                                                     */
844     hints->axis[AF_DIMENSION_HORZ].major_dir = AF_DIR_UP;
845     hints->axis[AF_DIMENSION_VERT].major_dir = AF_DIR_LEFT;
846 
847     if ( FT_Outline_Get_Orientation( outline ) == FT_ORIENTATION_POSTSCRIPT )
848     {
849       hints->axis[AF_DIMENSION_HORZ].major_dir = AF_DIR_DOWN;
850       hints->axis[AF_DIMENSION_VERT].major_dir = AF_DIR_RIGHT;
851     }
852 
853     hints->x_scale = x_scale;
854     hints->y_scale = y_scale;
855     hints->x_delta = x_delta;
856     hints->y_delta = y_delta;
857 
858     hints->xmin_delta = 0;
859     hints->xmax_delta = 0;
860 
861     points = hints->points;
862     if ( hints->num_points == 0 )
863       goto Exit;
864 
865     {
866       AF_Point  point;
867       AF_Point  point_limit = points + hints->num_points;
868 
869       /* value 20 in `near_limit' is heuristic */
870       FT_UInt  units_per_em = hints->metrics->scaler.face->units_per_EM;
871       FT_Int   near_limit   = 20 * units_per_em / 2048;
872 
873 
874       /* compute coordinates & Bezier flags, next and prev */
875       {
876         FT_Vector*  vec           = outline->points;
877         char*       tag           = outline->tags;
878         FT_Short    endpoint      = outline->contours[0];
879         AF_Point    end           = points + endpoint;
880         AF_Point    prev          = end;
881         FT_Int      contour_index = 0;
882 
883 
884         for ( point = points; point < point_limit; point++, vec++, tag++ )
885         {
886           FT_Pos  out_x, out_y;
887 
888 
889           point->in_dir  = (FT_Char)AF_DIR_NONE;
890           point->out_dir = (FT_Char)AF_DIR_NONE;
891 
892           point->fx = (FT_Short)vec->x;
893           point->fy = (FT_Short)vec->y;
894           point->ox = point->x = FT_MulFix( vec->x, x_scale ) + x_delta;
895           point->oy = point->y = FT_MulFix( vec->y, y_scale ) + y_delta;
896 
897           end->fx = (FT_Short)outline->points[endpoint].x;
898           end->fy = (FT_Short)outline->points[endpoint].y;
899 
900           switch ( FT_CURVE_TAG( *tag ) )
901           {
902           case FT_CURVE_TAG_CONIC:
903             point->flags = AF_FLAG_CONIC;
904             break;
905           case FT_CURVE_TAG_CUBIC:
906             point->flags = AF_FLAG_CUBIC;
907             break;
908           default:
909             point->flags = AF_FLAG_NONE;
910           }
911 
912           out_x = point->fx - prev->fx;
913           out_y = point->fy - prev->fy;
914 
915           if ( FT_ABS( out_x ) + FT_ABS( out_y ) < near_limit )
916             prev->flags |= AF_FLAG_NEAR;
917 
918           point->prev = prev;
919           prev->next  = point;
920           prev        = point;
921 
922           if ( point == end )
923           {
924             if ( ++contour_index < outline->n_contours )
925             {
926               endpoint = outline->contours[contour_index];
927               end      = points + endpoint;
928               prev     = end;
929             }
930           }
931 
932 #ifdef FT_DEBUG_AUTOFIT
933           point->before[0] = NULL;
934           point->before[1] = NULL;
935           point->after[0]  = NULL;
936           point->after[1]  = NULL;
937 #endif
938 
939         }
940       }
941 
942       /* set up the contours array */
943       {
944         AF_Point*  contour       = hints->contours;
945         AF_Point*  contour_limit = contour + hints->num_contours;
946         short*     end           = outline->contours;
947         short      idx           = 0;
948 
949 
950         for ( ; contour < contour_limit; contour++, end++ )
951         {
952           contour[0] = points + idx;
953           idx        = (short)( end[0] + 1 );
954         }
955       }
956 
957       {
958         /*
959          * Compute directions of `in' and `out' vectors.
960          *
961          * Note that distances between points that are very near to each
962          * other are accumulated.  In other words, the auto-hinter either
963          * prepends the small vectors between near points to the first
964          * non-near vector, or the sum of small vector lengths exceeds a
965          * threshold, thus `grouping' the small vectors.  All intermediate
966          * points are tagged as weak; the directions are adjusted also to
967          * be equal to the accumulated one.
968          */
969 
970         FT_Int  near_limit2 = 2 * near_limit - 1;
971 
972         AF_Point*  contour;
973         AF_Point*  contour_limit = hints->contours + hints->num_contours;
974 
975 
976         for ( contour = hints->contours; contour < contour_limit; contour++ )
977         {
978           AF_Point  first = *contour;
979           AF_Point  next, prev, curr;
980 
981           FT_Pos  out_x, out_y;
982 
983 
984           /* since the first point of a contour could be part of a */
985           /* series of near points, go backwards to find the first */
986           /* non-near point and adjust `first'                     */
987 
988           point = first;
989           prev  = first->prev;
990 
991           while ( prev != first )
992           {
993             out_x = point->fx - prev->fx;
994             out_y = point->fy - prev->fy;
995 
996             /*
997              * We use Taxicab metrics to measure the vector length.
998              *
999              * Note that the accumulated distances so far could have the
1000              * opposite direction of the distance measured here.  For this
1001              * reason we use `near_limit2' for the comparison to get a
1002              * non-near point even in the worst case.
1003              */
1004             if ( FT_ABS( out_x ) + FT_ABS( out_y ) >= near_limit2 )
1005               break;
1006 
1007             point = prev;
1008             prev  = prev->prev;
1009           }
1010 
1011           /* adjust first point */
1012           first = point;
1013 
1014           /* now loop over all points of the contour to get */
1015           /* `in' and `out' vector directions               */
1016 
1017           curr = first;
1018 
1019           /*
1020            * We abuse the `u' and `v' fields to store index deltas to the
1021            * next and previous non-near point, respectively.
1022            *
1023            * To avoid problems with not having non-near points, we point to
1024            * `first' by default as the next non-near point.
1025            *
1026            */
1027           curr->u  = (FT_Pos)( first - curr );
1028           first->v = -curr->u;
1029 
1030           out_x = 0;
1031           out_y = 0;
1032 
1033           next = first;
1034           do
1035           {
1036             AF_Direction  out_dir;
1037 
1038 
1039             point = next;
1040             next  = point->next;
1041 
1042             out_x += next->fx - point->fx;
1043             out_y += next->fy - point->fy;
1044 
1045             if ( FT_ABS( out_x ) + FT_ABS( out_y ) < near_limit )
1046             {
1047               next->flags |= AF_FLAG_WEAK_INTERPOLATION;
1048               continue;
1049             }
1050 
1051             curr->u = (FT_Pos)( next - curr );
1052             next->v = -curr->u;
1053 
1054             out_dir = af_direction_compute( out_x, out_y );
1055 
1056             /* adjust directions for all points inbetween; */
1057             /* the loop also updates position of `curr'    */
1058             curr->out_dir = (FT_Char)out_dir;
1059             for ( curr = curr->next; curr != next; curr = curr->next )
1060             {
1061               curr->in_dir  = (FT_Char)out_dir;
1062               curr->out_dir = (FT_Char)out_dir;
1063             }
1064             next->in_dir = (FT_Char)out_dir;
1065 
1066             curr->u  = (FT_Pos)( first - curr );
1067             first->v = -curr->u;
1068 
1069             out_x = 0;
1070             out_y = 0;
1071 
1072           } while ( next != first );
1073         }
1074 
1075         /*
1076          * The next step is to `simplify' an outline's topology so that we
1077          * can identify local extrema more reliably: A series of
1078          * non-horizontal or non-vertical vectors pointing into the same
1079          * quadrant are handled as a single, long vector.  From a
1080          * topological point of the view, the intermediate points are of no
1081          * interest and thus tagged as weak.
1082          */
1083 
1084         for ( point = points; point < point_limit; point++ )
1085         {
1086           if ( point->flags & AF_FLAG_WEAK_INTERPOLATION )
1087             continue;
1088 
1089           if ( point->in_dir  == AF_DIR_NONE &&
1090                point->out_dir == AF_DIR_NONE )
1091           {
1092             /* check whether both vectors point into the same quadrant */
1093 
1094             FT_Pos  in_x, in_y;
1095             FT_Pos  out_x, out_y;
1096 
1097             AF_Point  next_u = point + point->u;
1098             AF_Point  prev_v = point + point->v;
1099 
1100 
1101             in_x = point->fx - prev_v->fx;
1102             in_y = point->fy - prev_v->fy;
1103 
1104             out_x = next_u->fx - point->fx;
1105             out_y = next_u->fy - point->fy;
1106 
1107             if ( ( in_x ^ out_x ) >= 0 && ( in_y ^ out_y ) >= 0 )
1108             {
1109               /* yes, so tag current point as weak */
1110               /* and update index deltas           */
1111 
1112               point->flags |= AF_FLAG_WEAK_INTERPOLATION;
1113 
1114               prev_v->u = (FT_Pos)( next_u - prev_v );
1115               next_u->v = -prev_v->u;
1116             }
1117           }
1118         }
1119 
1120         /*
1121          * Finally, check for remaining weak points.  Everything else not
1122          * collected in edges so far is then implicitly classified as strong
1123          * points.
1124          */
1125 
1126         for ( point = points; point < point_limit; point++ )
1127         {
1128           if ( point->flags & AF_FLAG_WEAK_INTERPOLATION )
1129             continue;
1130 
1131           if ( point->flags & AF_FLAG_CONTROL )
1132           {
1133             /* control points are always weak */
1134           Is_Weak_Point:
1135             point->flags |= AF_FLAG_WEAK_INTERPOLATION;
1136           }
1137           else if ( point->out_dir == point->in_dir )
1138           {
1139             if ( point->out_dir != AF_DIR_NONE )
1140             {
1141               /* current point lies on a horizontal or          */
1142               /* vertical segment (but doesn't start or end it) */
1143               goto Is_Weak_Point;
1144             }
1145 
1146             {
1147               AF_Point  next_u = point + point->u;
1148               AF_Point  prev_v = point + point->v;
1149 
1150 
1151               if ( ft_corner_is_flat( point->fx  - prev_v->fx,
1152                                       point->fy  - prev_v->fy,
1153                                       next_u->fx - point->fx,
1154                                       next_u->fy - point->fy ) )
1155               {
1156                 /* either the `in' or the `out' vector is much more  */
1157                 /* dominant than the other one, so tag current point */
1158                 /* as weak and update index deltas                   */
1159 
1160                 prev_v->u = (FT_Pos)( next_u - prev_v );
1161                 next_u->v = -prev_v->u;
1162 
1163                 goto Is_Weak_Point;
1164               }
1165             }
1166           }
1167           else if ( point->in_dir == -point->out_dir )
1168           {
1169             /* current point forms a spike */
1170             goto Is_Weak_Point;
1171           }
1172         }
1173       }
1174     }
1175 
1176   Exit:
1177     return error;
1178   }
1179 
1180 
1181   /* Store the hinted outline in an FT_Outline structure. */
1182 
1183   FT_LOCAL_DEF( void )
af_glyph_hints_save(AF_GlyphHints hints,FT_Outline * outline)1184   af_glyph_hints_save( AF_GlyphHints  hints,
1185                        FT_Outline*    outline )
1186   {
1187     AF_Point    point = hints->points;
1188     AF_Point    limit = point + hints->num_points;
1189     FT_Vector*  vec   = outline->points;
1190     char*       tag   = outline->tags;
1191 
1192 
1193     for ( ; point < limit; point++, vec++, tag++ )
1194     {
1195       vec->x = point->x;
1196       vec->y = point->y;
1197 
1198       if ( point->flags & AF_FLAG_CONIC )
1199         tag[0] = FT_CURVE_TAG_CONIC;
1200       else if ( point->flags & AF_FLAG_CUBIC )
1201         tag[0] = FT_CURVE_TAG_CUBIC;
1202       else
1203         tag[0] = FT_CURVE_TAG_ON;
1204     }
1205   }
1206 
1207 
1208   /****************************************************************
1209    *
1210    *                     EDGE POINT GRID-FITTING
1211    *
1212    ****************************************************************/
1213 
1214 
1215   /* Align all points of an edge to the same coordinate value, */
1216   /* either horizontally or vertically.                        */
1217 
1218   FT_LOCAL_DEF( void )
af_glyph_hints_align_edge_points(AF_GlyphHints hints,AF_Dimension dim)1219   af_glyph_hints_align_edge_points( AF_GlyphHints  hints,
1220                                     AF_Dimension   dim )
1221   {
1222     AF_AxisHints  axis          = & hints->axis[dim];
1223     AF_Segment    segments      = axis->segments;
1224     AF_Segment    segment_limit = segments + axis->num_segments;
1225     AF_Segment    seg;
1226 
1227 
1228     if ( dim == AF_DIMENSION_HORZ )
1229     {
1230       for ( seg = segments; seg < segment_limit; seg++ )
1231       {
1232         AF_Edge   edge = seg->edge;
1233         AF_Point  point, first, last;
1234 
1235 
1236         if ( !edge )
1237           continue;
1238 
1239         first = seg->first;
1240         last  = seg->last;
1241         point = first;
1242         for (;;)
1243         {
1244           point->x      = edge->pos;
1245           point->flags |= AF_FLAG_TOUCH_X;
1246 
1247           if ( point == last )
1248             break;
1249 
1250           point = point->next;
1251         }
1252       }
1253     }
1254     else
1255     {
1256       for ( seg = segments; seg < segment_limit; seg++ )
1257       {
1258         AF_Edge   edge = seg->edge;
1259         AF_Point  point, first, last;
1260 
1261 
1262         if ( !edge )
1263           continue;
1264 
1265         first = seg->first;
1266         last  = seg->last;
1267         point = first;
1268         for (;;)
1269         {
1270           point->y      = edge->pos;
1271           point->flags |= AF_FLAG_TOUCH_Y;
1272 
1273           if ( point == last )
1274             break;
1275 
1276           point = point->next;
1277         }
1278       }
1279     }
1280   }
1281 
1282 
1283   /****************************************************************
1284    *
1285    *                    STRONG POINT INTERPOLATION
1286    *
1287    ****************************************************************/
1288 
1289 
1290   /* Hint the strong points -- this is equivalent to the TrueType `IP' */
1291   /* hinting instruction.                                              */
1292 
1293   FT_LOCAL_DEF( void )
af_glyph_hints_align_strong_points(AF_GlyphHints hints,AF_Dimension dim)1294   af_glyph_hints_align_strong_points( AF_GlyphHints  hints,
1295                                       AF_Dimension   dim )
1296   {
1297     AF_Point      points      = hints->points;
1298     AF_Point      point_limit = points + hints->num_points;
1299     AF_AxisHints  axis        = &hints->axis[dim];
1300     AF_Edge       edges       = axis->edges;
1301     AF_Edge       edge_limit  = edges + axis->num_edges;
1302     FT_UInt       touch_flag;
1303 
1304 
1305     if ( dim == AF_DIMENSION_HORZ )
1306       touch_flag = AF_FLAG_TOUCH_X;
1307     else
1308       touch_flag  = AF_FLAG_TOUCH_Y;
1309 
1310     if ( edges < edge_limit )
1311     {
1312       AF_Point  point;
1313       AF_Edge   edge;
1314 
1315 
1316       for ( point = points; point < point_limit; point++ )
1317       {
1318         FT_Pos  u, ou, fu;  /* point position */
1319         FT_Pos  delta;
1320 
1321 
1322         if ( point->flags & touch_flag )
1323           continue;
1324 
1325         /* if this point is candidate to weak interpolation, we       */
1326         /* interpolate it after all strong points have been processed */
1327 
1328         if ( ( point->flags & AF_FLAG_WEAK_INTERPOLATION ) )
1329           continue;
1330 
1331         if ( dim == AF_DIMENSION_VERT )
1332         {
1333           u  = point->fy;
1334           ou = point->oy;
1335         }
1336         else
1337         {
1338           u  = point->fx;
1339           ou = point->ox;
1340         }
1341 
1342         fu = u;
1343 
1344         /* is the point before the first edge? */
1345         edge  = edges;
1346         delta = edge->fpos - u;
1347         if ( delta >= 0 )
1348         {
1349           u = edge->pos - ( edge->opos - ou );
1350 
1351 #ifdef FT_DEBUG_AUTOFIT
1352           point->before[dim] = edge;
1353           point->after[dim]  = NULL;
1354 #endif
1355 
1356           goto Store_Point;
1357         }
1358 
1359         /* is the point after the last edge? */
1360         edge  = edge_limit - 1;
1361         delta = u - edge->fpos;
1362         if ( delta >= 0 )
1363         {
1364           u = edge->pos + ( ou - edge->opos );
1365 
1366 #ifdef FT_DEBUG_AUTOFIT
1367           point->before[dim] = NULL;
1368           point->after[dim]  = edge;
1369 #endif
1370 
1371           goto Store_Point;
1372         }
1373 
1374         {
1375           FT_PtrDist  min, max, mid;
1376           FT_Pos      fpos;
1377 
1378 
1379           /* find enclosing edges */
1380           min = 0;
1381           max = edge_limit - edges;
1382 
1383 #if 1
1384           /* for a small number of edges, a linear search is better */
1385           if ( max <= 8 )
1386           {
1387             FT_PtrDist  nn;
1388 
1389 
1390             for ( nn = 0; nn < max; nn++ )
1391               if ( edges[nn].fpos >= u )
1392                 break;
1393 
1394             if ( edges[nn].fpos == u )
1395             {
1396               u = edges[nn].pos;
1397               goto Store_Point;
1398             }
1399             min = nn;
1400           }
1401           else
1402 #endif
1403           while ( min < max )
1404           {
1405             mid  = ( max + min ) >> 1;
1406             edge = edges + mid;
1407             fpos = edge->fpos;
1408 
1409             if ( u < fpos )
1410               max = mid;
1411             else if ( u > fpos )
1412               min = mid + 1;
1413             else
1414             {
1415               /* we are on the edge */
1416               u = edge->pos;
1417 
1418 #ifdef FT_DEBUG_AUTOFIT
1419               point->before[dim] = NULL;
1420               point->after[dim]  = NULL;
1421 #endif
1422 
1423               goto Store_Point;
1424             }
1425           }
1426 
1427           /* point is not on an edge */
1428           {
1429             AF_Edge  before = edges + min - 1;
1430             AF_Edge  after  = edges + min + 0;
1431 
1432 
1433 #ifdef FT_DEBUG_AUTOFIT
1434             point->before[dim] = before;
1435             point->after[dim]  = after;
1436 #endif
1437 
1438             /* assert( before && after && before != after ) */
1439             if ( before->scale == 0 )
1440               before->scale = FT_DivFix( after->pos - before->pos,
1441                                          after->fpos - before->fpos );
1442 
1443             u = before->pos + FT_MulFix( fu - before->fpos,
1444                                          before->scale );
1445           }
1446         }
1447 
1448       Store_Point:
1449         /* save the point position */
1450         if ( dim == AF_DIMENSION_HORZ )
1451           point->x = u;
1452         else
1453           point->y = u;
1454 
1455         point->flags |= touch_flag;
1456       }
1457     }
1458   }
1459 
1460 
1461   /****************************************************************
1462    *
1463    *                    WEAK POINT INTERPOLATION
1464    *
1465    ****************************************************************/
1466 
1467 
1468   /* Shift the original coordinates of all points between `p1' and */
1469   /* `p2' to get hinted coordinates, using the same difference as  */
1470   /* given by `ref'.                                               */
1471 
1472   static void
af_iup_shift(AF_Point p1,AF_Point p2,AF_Point ref)1473   af_iup_shift( AF_Point  p1,
1474                 AF_Point  p2,
1475                 AF_Point  ref )
1476   {
1477     AF_Point  p;
1478     FT_Pos    delta = ref->u - ref->v;
1479 
1480 
1481     if ( delta == 0 )
1482       return;
1483 
1484     for ( p = p1; p < ref; p++ )
1485       p->u = p->v + delta;
1486 
1487     for ( p = ref + 1; p <= p2; p++ )
1488       p->u = p->v + delta;
1489   }
1490 
1491 
1492   /* Interpolate the original coordinates of all points between `p1' and  */
1493   /* `p2' to get hinted coordinates, using `ref1' and `ref2' as the       */
1494   /* reference points.  The `u' and `v' members are the current and       */
1495   /* original coordinate values, respectively.                            */
1496   /*                                                                      */
1497   /* Details can be found in the TrueType bytecode specification.         */
1498 
1499   static void
af_iup_interp(AF_Point p1,AF_Point p2,AF_Point ref1,AF_Point ref2)1500   af_iup_interp( AF_Point  p1,
1501                  AF_Point  p2,
1502                  AF_Point  ref1,
1503                  AF_Point  ref2 )
1504   {
1505     AF_Point  p;
1506     FT_Pos    u, v1, v2, u1, u2, d1, d2;
1507 
1508 
1509     if ( p1 > p2 )
1510       return;
1511 
1512     if ( ref1->v > ref2->v )
1513     {
1514       p    = ref1;
1515       ref1 = ref2;
1516       ref2 = p;
1517     }
1518 
1519     v1 = ref1->v;
1520     v2 = ref2->v;
1521     u1 = ref1->u;
1522     u2 = ref2->u;
1523     d1 = u1 - v1;
1524     d2 = u2 - v2;
1525 
1526     if ( u1 == u2 || v1 == v2 )
1527     {
1528       for ( p = p1; p <= p2; p++ )
1529       {
1530         u = p->v;
1531 
1532         if ( u <= v1 )
1533           u += d1;
1534         else if ( u >= v2 )
1535           u += d2;
1536         else
1537           u = u1;
1538 
1539         p->u = u;
1540       }
1541     }
1542     else
1543     {
1544       FT_Fixed  scale = FT_DivFix( u2 - u1, v2 - v1 );
1545 
1546 
1547       for ( p = p1; p <= p2; p++ )
1548       {
1549         u = p->v;
1550 
1551         if ( u <= v1 )
1552           u += d1;
1553         else if ( u >= v2 )
1554           u += d2;
1555         else
1556           u = u1 + FT_MulFix( u - v1, scale );
1557 
1558         p->u = u;
1559       }
1560     }
1561   }
1562 
1563 
1564   /* Hint the weak points -- this is equivalent to the TrueType `IUP' */
1565   /* hinting instruction.                                             */
1566 
1567   FT_LOCAL_DEF( void )
af_glyph_hints_align_weak_points(AF_GlyphHints hints,AF_Dimension dim)1568   af_glyph_hints_align_weak_points( AF_GlyphHints  hints,
1569                                     AF_Dimension   dim )
1570   {
1571     AF_Point   points        = hints->points;
1572     AF_Point   point_limit   = points + hints->num_points;
1573     AF_Point*  contour       = hints->contours;
1574     AF_Point*  contour_limit = contour + hints->num_contours;
1575     FT_UInt    touch_flag;
1576     AF_Point   point;
1577     AF_Point   end_point;
1578     AF_Point   first_point;
1579 
1580 
1581     /* PASS 1: Move segment points to edge positions */
1582 
1583     if ( dim == AF_DIMENSION_HORZ )
1584     {
1585       touch_flag = AF_FLAG_TOUCH_X;
1586 
1587       for ( point = points; point < point_limit; point++ )
1588       {
1589         point->u = point->x;
1590         point->v = point->ox;
1591       }
1592     }
1593     else
1594     {
1595       touch_flag = AF_FLAG_TOUCH_Y;
1596 
1597       for ( point = points; point < point_limit; point++ )
1598       {
1599         point->u = point->y;
1600         point->v = point->oy;
1601       }
1602     }
1603 
1604     for ( ; contour < contour_limit; contour++ )
1605     {
1606       AF_Point  first_touched, last_touched;
1607 
1608 
1609       point       = *contour;
1610       end_point   = point->prev;
1611       first_point = point;
1612 
1613       /* find first touched point */
1614       for (;;)
1615       {
1616         if ( point > end_point )  /* no touched point in contour */
1617           goto NextContour;
1618 
1619         if ( point->flags & touch_flag )
1620           break;
1621 
1622         point++;
1623       }
1624 
1625       first_touched = point;
1626 
1627       for (;;)
1628       {
1629         FT_ASSERT( point <= end_point                 &&
1630                    ( point->flags & touch_flag ) != 0 );
1631 
1632         /* skip any touched neighbours */
1633         while ( point < end_point                    &&
1634                 ( point[1].flags & touch_flag ) != 0 )
1635           point++;
1636 
1637         last_touched = point;
1638 
1639         /* find the next touched point, if any */
1640         point++;
1641         for (;;)
1642         {
1643           if ( point > end_point )
1644             goto EndContour;
1645 
1646           if ( ( point->flags & touch_flag ) != 0 )
1647             break;
1648 
1649           point++;
1650         }
1651 
1652         /* interpolate between last_touched and point */
1653         af_iup_interp( last_touched + 1, point - 1,
1654                        last_touched, point );
1655       }
1656 
1657     EndContour:
1658       /* special case: only one point was touched */
1659       if ( last_touched == first_touched )
1660         af_iup_shift( first_point, end_point, first_touched );
1661 
1662       else /* interpolate the last part */
1663       {
1664         if ( last_touched < end_point )
1665           af_iup_interp( last_touched + 1, end_point,
1666                          last_touched, first_touched );
1667 
1668         if ( first_touched > points )
1669           af_iup_interp( first_point, first_touched - 1,
1670                          last_touched, first_touched );
1671       }
1672 
1673     NextContour:
1674       ;
1675     }
1676 
1677     /* now save the interpolated values back to x/y */
1678     if ( dim == AF_DIMENSION_HORZ )
1679     {
1680       for ( point = points; point < point_limit; point++ )
1681         point->x = point->u;
1682     }
1683     else
1684     {
1685       for ( point = points; point < point_limit; point++ )
1686         point->y = point->u;
1687     }
1688   }
1689 
1690 
1691 #ifdef AF_CONFIG_OPTION_USE_WARPER
1692 
1693   /* Apply (small) warp scale and warp delta for given dimension. */
1694 
1695   FT_LOCAL_DEF( void )
af_glyph_hints_scale_dim(AF_GlyphHints hints,AF_Dimension dim,FT_Fixed scale,FT_Pos delta)1696   af_glyph_hints_scale_dim( AF_GlyphHints  hints,
1697                             AF_Dimension   dim,
1698                             FT_Fixed       scale,
1699                             FT_Pos         delta )
1700   {
1701     AF_Point  points       = hints->points;
1702     AF_Point  points_limit = points + hints->num_points;
1703     AF_Point  point;
1704 
1705 
1706     if ( dim == AF_DIMENSION_HORZ )
1707     {
1708       for ( point = points; point < points_limit; point++ )
1709         point->x = FT_MulFix( point->fx, scale ) + delta;
1710     }
1711     else
1712     {
1713       for ( point = points; point < points_limit; point++ )
1714         point->y = FT_MulFix( point->fy, scale ) + delta;
1715     }
1716   }
1717 
1718 #endif /* AF_CONFIG_OPTION_USE_WARPER */
1719 
1720 /* END */
1721