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1 /****************************************************************************
2  *
3  * afhints.h
4  *
5  *   Auto-fitter hinting routines (specification).
6  *
7  * Copyright (C) 2003-2023 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 FT_BEGIN_HEADER
25 
26   /*
27    * The definition of outline glyph hints.  These are shared by all
28    * writing system analysis routines (until now).
29    */
30 
31   typedef enum  AF_Dimension_
32   {
33     AF_DIMENSION_HORZ = 0,  /* x coordinates,                    */
34                             /* i.e., vertical segments & edges   */
35     AF_DIMENSION_VERT = 1,  /* y coordinates,                    */
36                             /* i.e., horizontal segments & edges */
37 
38     AF_DIMENSION_MAX  /* do not remove */
39 
40   } AF_Dimension;
41 
42 
43   /* hint directions -- the values are computed so that two vectors are */
44   /* in opposite directions iff `dir1 + dir2 == 0'                      */
45   typedef enum  AF_Direction_
46   {
47     AF_DIR_NONE  =  4,
48     AF_DIR_RIGHT =  1,
49     AF_DIR_LEFT  = -1,
50     AF_DIR_UP    =  2,
51     AF_DIR_DOWN  = -2
52 
53   } AF_Direction;
54 
55 
56   /*
57    * The following explanations are mostly taken from the article
58    *
59    *   Real-Time Grid Fitting of Typographic Outlines
60    *
61    * by David Turner and Werner Lemberg
62    *
63    *   https://www.tug.org/TUGboat/Articles/tb24-3/lemberg.pdf
64    *
65    * with appropriate updates.
66    *
67    *
68    * Segments
69    *
70    *   `af_{cjk,latin,...}_hints_compute_segments' are the functions to
71    *   find segments in an outline.
72    *
73    *   A segment is a series of at least two consecutive points that are
74    *   approximately aligned along a coordinate axis.  The analysis to do
75    *   so is specific to a writing system.
76    *
77    *
78    * Edges
79    *
80    *   `af_{cjk,latin,...}_hints_compute_edges' are the functions to find
81    *   edges.
82    *
83    *   As soon as segments are defined, the auto-hinter groups them into
84    *   edges.  An edge corresponds to a single position on the main
85    *   dimension that collects one or more segments (allowing for a small
86    *   threshold).
87    *
88    *   As an example, the `latin' writing system first tries to grid-fit
89    *   edges, then to align segments on the edges unless it detects that
90    *   they form a serif.
91    *
92    *
93    *                     A          H
94    *                      |        |
95    *                      |        |
96    *                      |        |
97    *                      |        |
98    *        C             |        |             F
99    *         +------<-----+        +-----<------+
100    *         |             B      G             |
101    *         |                                  |
102    *         |                                  |
103    *         +--------------->------------------+
104    *        D                                    E
105    *
106    *
107    * Stems
108    *
109    *   Stems are detected by `af_{cjk,latin,...}_hint_edges'.
110    *
111    *   Segments need to be `linked' to other ones in order to detect stems.
112    *   A stem is made of two segments that face each other in opposite
113    *   directions and that are sufficiently close to each other.  Using
114    *   vocabulary from the TrueType specification, stem segments form a
115    *   `black distance'.
116    *
117    *   In the above ASCII drawing, the horizontal segments are BC, DE, and
118    *   FG; the vertical segments are AB, CD, EF, and GH.
119    *
120    *   Each segment has at most one `best' candidate to form a black
121    *   distance, or no candidate at all.  Notice that two distinct segments
122    *   can have the same candidate, which frequently means a serif.
123    *
124    *   A stem is recognized by the following condition:
125    *
126    *     best segment_1 = segment_2 && best segment_2 = segment_1
127    *
128    *   The best candidate is stored in field `link' in structure
129    *   `AF_Segment'.
130    *
131    *   In the above ASCII drawing, the best candidate for both AB and CD is
132    *   GH, while the best candidate for GH is AB.  Similarly, the best
133    *   candidate for EF and GH is AB, while the best candidate for AB is
134    *   GH.
135    *
136    *   The detection and handling of stems is dependent on the writing
137    *   system.
138    *
139    *
140    * Serifs
141    *
142    *   Serifs are detected by `af_{cjk,latin,...}_hint_edges'.
143    *
144    *   In comparison to a stem, a serif (as handled by the auto-hinter
145    *   module that takes care of the `latin' writing system) has
146    *
147    *     best segment_1 = segment_2 && best segment_2 != segment_1
148    *
149    *   where segment_1 corresponds to the serif segment (CD and EF in the
150    *   above ASCII drawing).
151    *
152    *   The best candidate is stored in field `serif' in structure
153    *   `AF_Segment' (and `link' is set to NULL).
154    *
155    *
156    * Touched points
157    *
158    *   A point is called `touched' if it has been processed somehow by the
159    *   auto-hinter.  It basically means that it shouldn't be moved again
160    *   (or moved only under certain constraints to preserve the already
161    *   applied processing).
162    *
163    *
164    * Flat and round segments
165    *
166    *   Segments are `round' or `flat', depending on the series of points
167    *   that define them.  A segment is round if the next and previous point
168    *   of an extremum (which can be either a single point or sequence of
169    *   points) are both conic or cubic control points.  Otherwise, a
170    *   segment with an extremum is flat.
171    *
172    *
173    * Strong Points
174    *
175    *   Experience has shown that points not part of an edge need to be
176    *   interpolated linearly between their two closest edges, even if these
177    *   are not part of the contour of those particular points.  Typical
178    *   candidates for this are
179    *
180    *   - angle points (i.e., points where the `in' and `out' direction
181    *     differ greatly)
182    *
183    *   - inflection points (i.e., where the `in' and `out' angles are the
184    *     same, but the curvature changes sign) [currently, such points
185    *     aren't handled specially in the auto-hinter]
186    *
187    *   `af_glyph_hints_align_strong_points' is the function that takes
188    *   care of such situations; it is equivalent to the TrueType `IP'
189    *   hinting instruction.
190    *
191    *
192    * Weak Points
193    *
194    *   Other points in the outline must be interpolated using the
195    *   coordinates of their previous and next unfitted contour neighbours.
196    *   These are called `weak points' and are touched by the function
197    *   `af_glyph_hints_align_weak_points', equivalent to the TrueType `IUP'
198    *   hinting instruction.  Typical candidates are control points and
199    *   points on the contour without a major direction.
200    *
201    *   The major effect is to reduce possible distortion caused by
202    *   alignment of edges and strong points, thus weak points are processed
203    *   after strong points.
204    */
205 
206 
207   /* point hint flags */
208 #define AF_FLAG_NONE  0
209 
210   /* point type flags */
211 #define AF_FLAG_CONIC    ( 1U << 0 )
212 #define AF_FLAG_CUBIC    ( 1U << 1 )
213 #define AF_FLAG_CONTROL  ( AF_FLAG_CONIC | AF_FLAG_CUBIC )
214 
215   /* point touch flags */
216 #define AF_FLAG_TOUCH_X  ( 1U << 2 )
217 #define AF_FLAG_TOUCH_Y  ( 1U << 3 )
218 
219   /* candidates for weak interpolation have this flag set */
220 #define AF_FLAG_WEAK_INTERPOLATION  ( 1U << 4 )
221 
222   /* the distance to the next point is very small */
223 #define AF_FLAG_NEAR  ( 1U << 5 )
224 
225 
226   /* edge hint flags */
227 #define AF_EDGE_NORMAL  0
228 #define AF_EDGE_ROUND    ( 1U << 0 )
229 #define AF_EDGE_SERIF    ( 1U << 1 )
230 #define AF_EDGE_DONE     ( 1U << 2 )
231 #define AF_EDGE_NEUTRAL  ( 1U << 3 ) /* edge aligns to a neutral blue zone */
232 
233 
234   typedef struct AF_PointRec_*    AF_Point;
235   typedef struct AF_SegmentRec_*  AF_Segment;
236   typedef struct AF_EdgeRec_*     AF_Edge;
237 
238 
239   typedef struct  AF_PointRec_
240   {
241     FT_UShort  flags;    /* point flags used by hinter   */
242     FT_Char    in_dir;   /* direction of inwards vector  */
243     FT_Char    out_dir;  /* direction of outwards vector */
244 
245     FT_Pos     ox, oy;   /* original, scaled position                   */
246     FT_Short   fx, fy;   /* original, unscaled position (in font units) */
247     FT_Pos     x, y;     /* current position                            */
248     FT_Pos     u, v;     /* current (x,y) or (y,x) depending on context */
249 
250     AF_Point   next;     /* next point in contour     */
251     AF_Point   prev;     /* previous point in contour */
252 
253 #ifdef FT_DEBUG_AUTOFIT
254     /* track `before' and `after' edges for strong points */
255     AF_Edge    before[2];
256     AF_Edge    after[2];
257 #endif
258 
259   } AF_PointRec;
260 
261 
262   typedef struct  AF_SegmentRec_
263   {
264     FT_Byte     flags;       /* edge/segment flags for this segment */
265     FT_Char     dir;         /* segment direction                   */
266     FT_Short    pos;         /* position of segment                 */
267     FT_Short    delta;       /* deviation from segment position     */
268     FT_Short    min_coord;   /* minimum coordinate of segment       */
269     FT_Short    max_coord;   /* maximum coordinate of segment       */
270     FT_Short    height;      /* the hinted segment height           */
271 
272     AF_Edge     edge;        /* the segment's parent edge           */
273     AF_Segment  edge_next;   /* link to next segment in parent edge */
274 
275     AF_Segment  link;        /* (stem) link segment        */
276     AF_Segment  serif;       /* primary segment for serifs */
277     FT_Pos      score;       /* used during stem matching  */
278     FT_Pos      len;         /* used during stem matching  */
279 
280     AF_Point    first;       /* first point in edge segment */
281     AF_Point    last;        /* last point in edge segment  */
282 
283   } AF_SegmentRec;
284 
285 
286   typedef struct  AF_EdgeRec_
287   {
288     FT_Short    fpos;       /* original, unscaled position (in font units) */
289     FT_Pos      opos;       /* original, scaled position                   */
290     FT_Pos      pos;        /* current position                            */
291 
292     FT_Byte     flags;      /* edge flags                                   */
293     FT_Char     dir;        /* edge direction                               */
294     FT_Fixed    scale;      /* used to speed up interpolation between edges */
295 
296     AF_Width    blue_edge;  /* non-NULL if this is a blue edge */
297     AF_Edge     link;       /* link edge                       */
298     AF_Edge     serif;      /* primary edge for serifs         */
299     FT_Int      score;      /* used during stem matching       */
300 
301     AF_Segment  first;      /* first segment in edge */
302     AF_Segment  last;       /* last segment in edge  */
303 
304   } AF_EdgeRec;
305 
306 #define AF_SEGMENTS_EMBEDDED  18   /* number of embedded segments   */
307 #define AF_EDGES_EMBEDDED     12   /* number of embedded edges      */
308 
309   typedef struct  AF_AxisHintsRec_
310   {
311     FT_UInt       num_segments; /* number of used segments      */
312     FT_UInt       max_segments; /* number of allocated segments */
313     AF_Segment    segments;     /* segments array               */
314 
315     FT_UInt       num_edges;    /* number of used edges      */
316     FT_UInt       max_edges;    /* number of allocated edges */
317     AF_Edge       edges;        /* edges array               */
318 
319     AF_Direction  major_dir;    /* either vertical or horizontal */
320 
321     /* two arrays to avoid allocation penalty */
322     struct
323     {
324       AF_SegmentRec  segments[AF_SEGMENTS_EMBEDDED];
325       AF_EdgeRec     edges[AF_EDGES_EMBEDDED];
326     } embedded;
327 
328 
329   } AF_AxisHintsRec, *AF_AxisHints;
330 
331 
332 #define AF_POINTS_EMBEDDED     96   /* number of embedded points   */
333 #define AF_CONTOURS_EMBEDDED    8   /* number of embedded contours */
334 
335   typedef struct  AF_GlyphHintsRec_
336   {
337     FT_Memory        memory;
338 
339     FT_Fixed         x_scale;
340     FT_Pos           x_delta;
341 
342     FT_Fixed         y_scale;
343     FT_Pos           y_delta;
344 
345     FT_Int           max_points;    /* number of allocated points */
346     FT_Int           num_points;    /* number of used points      */
347     AF_Point         points;        /* points array               */
348 
349     FT_Int           max_contours;  /* number of allocated contours */
350     FT_Int           num_contours;  /* number of used contours      */
351     AF_Point*        contours;      /* contours array               */
352 
353     AF_AxisHintsRec  axis[AF_DIMENSION_MAX];
354 
355     FT_UInt32        scaler_flags;  /* copy of scaler flags    */
356     FT_UInt32        other_flags;   /* free for style-specific */
357                                     /* implementations         */
358     AF_StyleMetrics  metrics;
359 
360     /* Two arrays to avoid allocation penalty.            */
361     /* The `embedded' structure must be the last element! */
362     struct
363     {
364       AF_Point       contours[AF_CONTOURS_EMBEDDED];
365       AF_PointRec    points[AF_POINTS_EMBEDDED];
366     } embedded;
367 
368   } AF_GlyphHintsRec;
369 
370 
371 #define AF_HINTS_TEST_SCALER( h, f )  ( (h)->scaler_flags & (f) )
372 #define AF_HINTS_TEST_OTHER( h, f )   ( (h)->other_flags  & (f) )
373 
374 
375 #ifdef FT_DEBUG_AUTOFIT
376 
377 #define AF_HINTS_DO_HORIZONTAL( h )                                     \
378           ( !af_debug_disable_horz_hints_                            && \
379             !AF_HINTS_TEST_SCALER( h, AF_SCALER_FLAG_NO_HORIZONTAL ) )
380 
381 #define AF_HINTS_DO_VERTICAL( h )                                     \
382           ( !af_debug_disable_vert_hints_                          && \
383             !AF_HINTS_TEST_SCALER( h, AF_SCALER_FLAG_NO_VERTICAL ) )
384 
385 #define AF_HINTS_DO_BLUES( h )  ( !af_debug_disable_blue_hints_ )
386 
387 #else /* !FT_DEBUG_AUTOFIT */
388 
389 #define AF_HINTS_DO_HORIZONTAL( h )                                \
390           !AF_HINTS_TEST_SCALER( h, AF_SCALER_FLAG_NO_HORIZONTAL )
391 
392 #define AF_HINTS_DO_VERTICAL( h )                                \
393           !AF_HINTS_TEST_SCALER( h, AF_SCALER_FLAG_NO_VERTICAL )
394 
395 #define AF_HINTS_DO_BLUES( h )  1
396 
397 #endif /* !FT_DEBUG_AUTOFIT */
398 
399 
400 #define AF_HINTS_DO_ADVANCE( h )                                \
401           !AF_HINTS_TEST_SCALER( h, AF_SCALER_FLAG_NO_ADVANCE )
402 
403 
404   FT_LOCAL( AF_Direction )
405   af_direction_compute( FT_Pos  dx,
406                         FT_Pos  dy );
407 
408 
409   FT_LOCAL( FT_Error )
410   af_axis_hints_new_segment( AF_AxisHints  axis,
411                              FT_Memory     memory,
412                              AF_Segment   *asegment );
413 
414   FT_LOCAL( FT_Error)
415   af_axis_hints_new_edge( AF_AxisHints  axis,
416                           FT_Int        fpos,
417                           AF_Direction  dir,
418                           FT_Bool       top_to_bottom_hinting,
419                           FT_Memory     memory,
420                           AF_Edge      *edge );
421 
422   FT_LOCAL( void )
423   af_glyph_hints_init( AF_GlyphHints  hints,
424                        FT_Memory      memory );
425 
426   FT_LOCAL( void )
427   af_glyph_hints_rescale( AF_GlyphHints    hints,
428                           AF_StyleMetrics  metrics );
429 
430   FT_LOCAL( FT_Error )
431   af_glyph_hints_reload( AF_GlyphHints  hints,
432                          FT_Outline*    outline );
433 
434   FT_LOCAL( void )
435   af_glyph_hints_save( AF_GlyphHints  hints,
436                        FT_Outline*    outline );
437 
438   FT_LOCAL( void )
439   af_glyph_hints_align_edge_points( AF_GlyphHints  hints,
440                                     AF_Dimension   dim );
441 
442   FT_LOCAL( void )
443   af_glyph_hints_align_strong_points( AF_GlyphHints  hints,
444                                       AF_Dimension   dim );
445 
446   FT_LOCAL( void )
447   af_glyph_hints_align_weak_points( AF_GlyphHints  hints,
448                                     AF_Dimension   dim );
449 
450   FT_LOCAL( void )
451   af_glyph_hints_done( AF_GlyphHints  hints );
452 
453 /* */
454 
455 #define AF_SEGMENT_LEN( seg )          ( (seg)->max_coord - (seg)->min_coord )
456 
457 #define AF_SEGMENT_DIST( seg1, seg2 )  ( ( (seg1)->pos > (seg2)->pos )   \
458                                            ? (seg1)->pos - (seg2)->pos   \
459                                            : (seg2)->pos - (seg1)->pos )
460 
461 
462 FT_END_HEADER
463 
464 #endif /* AFHINTS_H_ */
465 
466 
467 /* END */
468