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1 /****************************************************************************
2  *
3  * afhints.h
4  *
5  *   Auto-fitter hinting routines (specification).
6  *
7  * Copyright (C) 2003-2019 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 #ifndef AFHINTS_H_
20 #define AFHINTS_H_
21 
22 #include "aftypes.h"
23 
24 #define xxAF_SORT_SEGMENTS
25 
26 FT_BEGIN_HEADER
27 
28   /*
29    * The definition of outline glyph hints.  These are shared by all
30    * writing system analysis routines (until now).
31    */
32 
33   typedef enum  AF_Dimension_
34   {
35     AF_DIMENSION_HORZ = 0,  /* x coordinates,                    */
36                             /* i.e., vertical segments & edges   */
37     AF_DIMENSION_VERT = 1,  /* y coordinates,                    */
38                             /* i.e., horizontal segments & edges */
39 
40     AF_DIMENSION_MAX  /* do not remove */
41 
42   } AF_Dimension;
43 
44 
45   /* hint directions -- the values are computed so that two vectors are */
46   /* in opposite directions iff `dir1 + dir2 == 0'                      */
47   typedef enum  AF_Direction_
48   {
49     AF_DIR_NONE  =  4,
50     AF_DIR_RIGHT =  1,
51     AF_DIR_LEFT  = -1,
52     AF_DIR_UP    =  2,
53     AF_DIR_DOWN  = -2
54 
55   } AF_Direction;
56 
57 
58   /*
59    * The following explanations are mostly taken from the article
60    *
61    *   Real-Time Grid Fitting of Typographic Outlines
62    *
63    * by David Turner and Werner Lemberg
64    *
65    *   https://www.tug.org/TUGboat/Articles/tb24-3/lemberg.pdf
66    *
67    * with appropriate updates.
68    *
69    *
70    * Segments
71    *
72    *   `af_{cjk,latin,...}_hints_compute_segments' are the functions to
73    *   find segments in an outline.
74    *
75    *   A segment is a series of at least two consecutive points that are
76    *   approximately aligned along a coordinate axis.  The analysis to do
77    *   so is specific to a writing system.
78    *
79    *
80    * Edges
81    *
82    *   `af_{cjk,latin,...}_hints_compute_edges' are the functions to find
83    *   edges.
84    *
85    *   As soon as segments are defined, the auto-hinter groups them into
86    *   edges.  An edge corresponds to a single position on the main
87    *   dimension that collects one or more segments (allowing for a small
88    *   threshold).
89    *
90    *   As an example, the `latin' writing system first tries to grid-fit
91    *   edges, then to align segments on the edges unless it detects that
92    *   they form a serif.
93    *
94    *
95    *                     A          H
96    *                      |        |
97    *                      |        |
98    *                      |        |
99    *                      |        |
100    *        C             |        |             F
101    *         +------<-----+        +-----<------+
102    *         |             B      G             |
103    *         |                                  |
104    *         |                                  |
105    *         +--------------->------------------+
106    *        D                                    E
107    *
108    *
109    * Stems
110    *
111    *   Stems are detected by `af_{cjk,latin,...}_hint_edges'.
112    *
113    *   Segments need to be `linked' to other ones in order to detect stems.
114    *   A stem is made of two segments that face each other in opposite
115    *   directions and that are sufficiently close to each other.  Using
116    *   vocabulary from the TrueType specification, stem segments form a
117    *   `black distance'.
118    *
119    *   In the above ASCII drawing, the horizontal segments are BC, DE, and
120    *   FG; the vertical segments are AB, CD, EF, and GH.
121    *
122    *   Each segment has at most one `best' candidate to form a black
123    *   distance, or no candidate at all.  Notice that two distinct segments
124    *   can have the same candidate, which frequently means a serif.
125    *
126    *   A stem is recognized by the following condition:
127    *
128    *     best segment_1 = segment_2 && best segment_2 = segment_1
129    *
130    *   The best candidate is stored in field `link' in structure
131    *   `AF_Segment'.
132    *
133    *   In the above ASCII drawing, the best candidate for both AB and CD is
134    *   GH, while the best candidate for GH is AB.  Similarly, the best
135    *   candidate for EF and GH is AB, while the best candidate for AB is
136    *   GH.
137    *
138    *   The detection and handling of stems is dependent on the writing
139    *   system.
140    *
141    *
142    * Serifs
143    *
144    *   Serifs are detected by `af_{cjk,latin,...}_hint_edges'.
145    *
146    *   In comparison to a stem, a serif (as handled by the auto-hinter
147    *   module that takes care of the `latin' writing system) has
148    *
149    *     best segment_1 = segment_2 && best segment_2 != segment_1
150    *
151    *   where segment_1 corresponds to the serif segment (CD and EF in the
152    *   above ASCII drawing).
153    *
154    *   The best candidate is stored in field `serif' in structure
155    *   `AF_Segment' (and `link' is set to NULL).
156    *
157    *
158    * Touched points
159    *
160    *   A point is called `touched' if it has been processed somehow by the
161    *   auto-hinter.  It basically means that it shouldn't be moved again
162    *   (or moved only under certain constraints to preserve the already
163    *   applied processing).
164    *
165    *
166    * Flat and round segments
167    *
168    *   Segments are `round' or `flat', depending on the series of points
169    *   that define them.  A segment is round if the next and previous point
170    *   of an extremum (which can be either a single point or sequence of
171    *   points) are both conic or cubic control points.  Otherwise, a
172    *   segment with an extremum is flat.
173    *
174    *
175    * Strong Points
176    *
177    *   Experience has shown that points not part of an edge need to be
178    *   interpolated linearly between their two closest edges, even if these
179    *   are not part of the contour of those particular points.  Typical
180    *   candidates for this are
181    *
182    *   - angle points (i.e., points where the `in' and `out' direction
183    *     differ greatly)
184    *
185    *   - inflection points (i.e., where the `in' and `out' angles are the
186    *     same, but the curvature changes sign) [currently, such points
187    *     aren't handled specially in the auto-hinter]
188    *
189    *   `af_glyph_hints_align_strong_points' is the function that takes
190    *   care of such situations; it is equivalent to the TrueType `IP'
191    *   hinting instruction.
192    *
193    *
194    * Weak Points
195    *
196    *   Other points in the outline must be interpolated using the
197    *   coordinates of their previous and next unfitted contour neighbours.
198    *   These are called `weak points' and are touched by the function
199    *   `af_glyph_hints_align_weak_points', equivalent to the TrueType `IUP'
200    *   hinting instruction.  Typical candidates are control points and
201    *   points on the contour without a major direction.
202    *
203    *   The major effect is to reduce possible distortion caused by
204    *   alignment of edges and strong points, thus weak points are processed
205    *   after strong points.
206    */
207 
208 
209   /* point hint flags */
210 #define AF_FLAG_NONE  0
211 
212   /* point type flags */
213 #define AF_FLAG_CONIC    ( 1U << 0 )
214 #define AF_FLAG_CUBIC    ( 1U << 1 )
215 #define AF_FLAG_CONTROL  ( AF_FLAG_CONIC | AF_FLAG_CUBIC )
216 
217   /* point touch flags */
218 #define AF_FLAG_TOUCH_X  ( 1U << 2 )
219 #define AF_FLAG_TOUCH_Y  ( 1U << 3 )
220 
221   /* candidates for weak interpolation have this flag set */
222 #define AF_FLAG_WEAK_INTERPOLATION  ( 1U << 4 )
223 
224   /* the distance to the next point is very small */
225 #define AF_FLAG_NEAR  ( 1U << 5 )
226 
227 
228   /* edge hint flags */
229 #define AF_EDGE_NORMAL  0
230 #define AF_EDGE_ROUND    ( 1U << 0 )
231 #define AF_EDGE_SERIF    ( 1U << 1 )
232 #define AF_EDGE_DONE     ( 1U << 2 )
233 #define AF_EDGE_NEUTRAL  ( 1U << 3 ) /* edge aligns to a neutral blue zone */
234 
235 
236   typedef struct AF_PointRec_*    AF_Point;
237   typedef struct AF_SegmentRec_*  AF_Segment;
238   typedef struct AF_EdgeRec_*     AF_Edge;
239 
240 
241   typedef struct  AF_PointRec_
242   {
243     FT_UShort  flags;    /* point flags used by hinter   */
244     FT_Char    in_dir;   /* direction of inwards vector  */
245     FT_Char    out_dir;  /* direction of outwards vector */
246 
247     FT_Pos     ox, oy;   /* original, scaled position                   */
248     FT_Short   fx, fy;   /* original, unscaled position (in font units) */
249     FT_Pos     x, y;     /* current position                            */
250     FT_Pos     u, v;     /* current (x,y) or (y,x) depending on context */
251 
252     AF_Point   next;     /* next point in contour     */
253     AF_Point   prev;     /* previous point in contour */
254 
255 #ifdef FT_DEBUG_AUTOFIT
256     /* track `before' and `after' edges for strong points */
257     AF_Edge    before[2];
258     AF_Edge    after[2];
259 #endif
260 
261   } AF_PointRec;
262 
263 
264   typedef struct  AF_SegmentRec_
265   {
266     FT_Byte     flags;       /* edge/segment flags for this segment */
267     FT_Char     dir;         /* segment direction                   */
268     FT_Short    pos;         /* position of segment                 */
269     FT_Short    delta;       /* deviation from segment position     */
270     FT_Short    min_coord;   /* minimum coordinate of segment       */
271     FT_Short    max_coord;   /* maximum coordinate of segment       */
272     FT_Short    height;      /* the hinted segment height           */
273 
274     AF_Edge     edge;        /* the segment's parent edge           */
275     AF_Segment  edge_next;   /* link to next segment in parent edge */
276 
277     AF_Segment  link;        /* (stem) link segment        */
278     AF_Segment  serif;       /* primary segment for serifs */
279     FT_Pos      score;       /* used during stem matching  */
280     FT_Pos      len;         /* used during stem matching  */
281 
282     AF_Point    first;       /* first point in edge segment */
283     AF_Point    last;        /* last point in edge segment  */
284 
285   } AF_SegmentRec;
286 
287 
288   typedef struct  AF_EdgeRec_
289   {
290     FT_Short    fpos;       /* original, unscaled position (in font units) */
291     FT_Pos      opos;       /* original, scaled position                   */
292     FT_Pos      pos;        /* current position                            */
293 
294     FT_Byte     flags;      /* edge flags                                   */
295     FT_Char     dir;        /* edge direction                               */
296     FT_Fixed    scale;      /* used to speed up interpolation between edges */
297 
298     AF_Width    blue_edge;  /* non-NULL if this is a blue edge */
299     AF_Edge     link;       /* link edge                       */
300     AF_Edge     serif;      /* primary edge for serifs         */
301     FT_Int      score;      /* used during stem matching       */
302 
303     AF_Segment  first;      /* first segment in edge */
304     AF_Segment  last;       /* last segment in edge  */
305 
306   } AF_EdgeRec;
307 
308 #define AF_SEGMENTS_EMBEDDED  18   /* number of embedded segments   */
309 #define AF_EDGES_EMBEDDED     12   /* number of embedded edges      */
310 
311   typedef struct  AF_AxisHintsRec_
312   {
313     FT_Int        num_segments; /* number of used segments      */
314     FT_Int        max_segments; /* number of allocated segments */
315     AF_Segment    segments;     /* segments array               */
316 #ifdef AF_SORT_SEGMENTS
317     FT_Int        mid_segments;
318 #endif
319 
320     FT_Int        num_edges;    /* number of used edges      */
321     FT_Int        max_edges;    /* number of allocated edges */
322     AF_Edge       edges;        /* edges array               */
323 
324     AF_Direction  major_dir;    /* either vertical or horizontal */
325 
326     /* two arrays to avoid allocation penalty */
327     struct
328     {
329       AF_SegmentRec  segments[AF_SEGMENTS_EMBEDDED];
330       AF_EdgeRec     edges[AF_EDGES_EMBEDDED];
331     } embedded;
332 
333 
334   } AF_AxisHintsRec, *AF_AxisHints;
335 
336 
337 #define AF_POINTS_EMBEDDED     96   /* number of embedded points   */
338 #define AF_CONTOURS_EMBEDDED    8   /* number of embedded contours */
339 
340   typedef struct  AF_GlyphHintsRec_
341   {
342     FT_Memory        memory;
343 
344     FT_Fixed         x_scale;
345     FT_Pos           x_delta;
346 
347     FT_Fixed         y_scale;
348     FT_Pos           y_delta;
349 
350     FT_Int           max_points;    /* number of allocated points */
351     FT_Int           num_points;    /* number of used points      */
352     AF_Point         points;        /* points array               */
353 
354     FT_Int           max_contours;  /* number of allocated contours */
355     FT_Int           num_contours;  /* number of used contours      */
356     AF_Point*        contours;      /* contours array               */
357 
358     AF_AxisHintsRec  axis[AF_DIMENSION_MAX];
359 
360     FT_UInt32        scaler_flags;  /* copy of scaler flags    */
361     FT_UInt32        other_flags;   /* free for style-specific */
362                                     /* implementations         */
363     AF_StyleMetrics  metrics;
364 
365     FT_Pos           xmin_delta;    /* used for warping */
366     FT_Pos           xmax_delta;
367 
368     /* Two arrays to avoid allocation penalty.            */
369     /* The `embedded' structure must be the last element! */
370     struct
371     {
372       AF_Point       contours[AF_CONTOURS_EMBEDDED];
373       AF_PointRec    points[AF_POINTS_EMBEDDED];
374     } embedded;
375 
376   } AF_GlyphHintsRec;
377 
378 
379 #define AF_HINTS_TEST_SCALER( h, f )  ( (h)->scaler_flags & (f) )
380 #define AF_HINTS_TEST_OTHER( h, f )   ( (h)->other_flags  & (f) )
381 
382 
383 #ifdef FT_DEBUG_AUTOFIT
384 
385 #define AF_HINTS_DO_HORIZONTAL( h )                                     \
386           ( !_af_debug_disable_horz_hints                            && \
387             !AF_HINTS_TEST_SCALER( h, AF_SCALER_FLAG_NO_HORIZONTAL ) )
388 
389 #define AF_HINTS_DO_VERTICAL( h )                                     \
390           ( !_af_debug_disable_vert_hints                          && \
391             !AF_HINTS_TEST_SCALER( h, AF_SCALER_FLAG_NO_VERTICAL ) )
392 
393 #define AF_HINTS_DO_BLUES( h )  ( !_af_debug_disable_blue_hints )
394 
395 #else /* !FT_DEBUG_AUTOFIT */
396 
397 #define AF_HINTS_DO_HORIZONTAL( h )                                \
398           !AF_HINTS_TEST_SCALER( h, AF_SCALER_FLAG_NO_HORIZONTAL )
399 
400 #define AF_HINTS_DO_VERTICAL( h )                                \
401           !AF_HINTS_TEST_SCALER( h, AF_SCALER_FLAG_NO_VERTICAL )
402 
403 #define AF_HINTS_DO_BLUES( h )  1
404 
405 #endif /* !FT_DEBUG_AUTOFIT */
406 
407 
408 #define AF_HINTS_DO_ADVANCE( h )                                \
409           !AF_HINTS_TEST_SCALER( h, AF_SCALER_FLAG_NO_ADVANCE )
410 
411 #define AF_HINTS_DO_WARP( h )                                  \
412           !AF_HINTS_TEST_SCALER( h, AF_SCALER_FLAG_NO_WARPER )
413 
414 
415 
416   FT_LOCAL( AF_Direction )
417   af_direction_compute( FT_Pos  dx,
418                         FT_Pos  dy );
419 
420 
421   FT_LOCAL( FT_Error )
422   af_axis_hints_new_segment( AF_AxisHints  axis,
423                              FT_Memory     memory,
424                              AF_Segment   *asegment );
425 
426   FT_LOCAL( FT_Error)
427   af_axis_hints_new_edge( AF_AxisHints  axis,
428                           FT_Int        fpos,
429                           AF_Direction  dir,
430                           FT_Bool       top_to_bottom_hinting,
431                           FT_Memory     memory,
432                           AF_Edge      *edge );
433 
434   FT_LOCAL( void )
435   af_glyph_hints_init( AF_GlyphHints  hints,
436                        FT_Memory      memory );
437 
438   FT_LOCAL( void )
439   af_glyph_hints_rescale( AF_GlyphHints    hints,
440                           AF_StyleMetrics  metrics );
441 
442   FT_LOCAL( FT_Error )
443   af_glyph_hints_reload( AF_GlyphHints  hints,
444                          FT_Outline*    outline );
445 
446   FT_LOCAL( void )
447   af_glyph_hints_save( AF_GlyphHints  hints,
448                        FT_Outline*    outline );
449 
450   FT_LOCAL( void )
451   af_glyph_hints_align_edge_points( AF_GlyphHints  hints,
452                                     AF_Dimension   dim );
453 
454   FT_LOCAL( void )
455   af_glyph_hints_align_strong_points( AF_GlyphHints  hints,
456                                       AF_Dimension   dim );
457 
458   FT_LOCAL( void )
459   af_glyph_hints_align_weak_points( AF_GlyphHints  hints,
460                                     AF_Dimension   dim );
461 
462 #ifdef AF_CONFIG_OPTION_USE_WARPER
463   FT_LOCAL( void )
464   af_glyph_hints_scale_dim( AF_GlyphHints  hints,
465                             AF_Dimension   dim,
466                             FT_Fixed       scale,
467                             FT_Pos         delta );
468 #endif
469 
470   FT_LOCAL( void )
471   af_glyph_hints_done( AF_GlyphHints  hints );
472 
473 /* */
474 
475 #define AF_SEGMENT_LEN( seg )          ( (seg)->max_coord - (seg)->min_coord )
476 
477 #define AF_SEGMENT_DIST( seg1, seg2 )  ( ( (seg1)->pos > (seg2)->pos )   \
478                                            ? (seg1)->pos - (seg2)->pos   \
479                                            : (seg2)->pos - (seg1)->pos )
480 
481 
482 FT_END_HEADER
483 
484 #endif /* AFHINTS_H_ */
485 
486 
487 /* END */
488