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1 /***************************************************************************/
2 /*                                                                         */
3 /*  cf2hints.c                                                             */
4 /*                                                                         */
5 /*    Adobe's code for handling CFF hints (body).                          */
6 /*                                                                         */
7 /*  Copyright 2007-2014 Adobe Systems Incorporated.                        */
8 /*                                                                         */
9 /*  This software, and all works of authorship, whether in source or       */
10 /*  object code form as indicated by the copyright notice(s) included      */
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12 /*  used, modified, and distributed under the FreeType Project License,    */
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35 /*                                                                         */
36 /***************************************************************************/
37 
38 
39 #include "cf2ft.h"
40 #include FT_INTERNAL_DEBUG_H
41 
42 #include "cf2glue.h"
43 #include "cf2font.h"
44 #include "cf2hints.h"
45 #include "cf2intrp.h"
46 
47 
48   /*************************************************************************/
49   /*                                                                       */
50   /* The macro FT_COMPONENT is used in trace mode.  It is an implicit      */
51   /* parameter of the FT_TRACE() and FT_ERROR() macros, used to print/log  */
52   /* messages during execution.                                            */
53   /*                                                                       */
54 #undef  FT_COMPONENT
55 #define FT_COMPONENT  trace_cf2hints
56 
57 
58   typedef struct  CF2_HintMoveRec_
59   {
60     size_t     j;          /* index of upper hint map edge   */
61     CF2_Fixed  moveUp;     /* adjustment to optimum position */
62 
63   } CF2_HintMoveRec, *CF2_HintMove;
64 
65 
66   /* Compute angular momentum for winding order detection.  It is called */
67   /* for all lines and curves, but not necessarily in element order.     */
68   static CF2_Int
cf2_getWindingMomentum(CF2_Fixed x1,CF2_Fixed y1,CF2_Fixed x2,CF2_Fixed y2)69   cf2_getWindingMomentum( CF2_Fixed  x1,
70                           CF2_Fixed  y1,
71                           CF2_Fixed  x2,
72                           CF2_Fixed  y2 )
73   {
74     /* cross product of pt1 position from origin with pt2 position from  */
75     /* pt1; we reduce the precision so that the result fits into 32 bits */
76 
77     return ( x1 >> 16 ) * ( ( y2 - y1 ) >> 16 ) -
78            ( y1 >> 16 ) * ( ( x2 - x1 ) >> 16 );
79   }
80 
81 
82   /*
83    * Construct from a StemHint; this is used as a parameter to
84    * `cf2_blues_capture'.
85    * `hintOrigin' is the character space displacement of a seac accent.
86    * Adjust stem hint for darkening here.
87    *
88    */
89   static void
cf2_hint_init(CF2_Hint hint,const CF2_ArrStack stemHintArray,size_t indexStemHint,const CF2_Font font,CF2_Fixed hintOrigin,CF2_Fixed scale,FT_Bool bottom)90   cf2_hint_init( CF2_Hint            hint,
91                  const CF2_ArrStack  stemHintArray,
92                  size_t              indexStemHint,
93                  const CF2_Font      font,
94                  CF2_Fixed           hintOrigin,
95                  CF2_Fixed           scale,
96                  FT_Bool             bottom )
97   {
98     CF2_Fixed               width;
99     const CF2_StemHintRec*  stemHint;
100 
101 
102     FT_ZERO( hint );
103 
104     stemHint = (const CF2_StemHintRec*)cf2_arrstack_getPointer(
105                                          stemHintArray,
106                                          indexStemHint );
107 
108     width = stemHint->max - stemHint->min;
109 
110     if ( width == cf2_intToFixed( -21 ) )
111     {
112       /* ghost bottom */
113 
114       if ( bottom )
115       {
116         hint->csCoord = stemHint->max;
117         hint->flags   = CF2_GhostBottom;
118       }
119       else
120         hint->flags = 0;
121     }
122 
123     else if ( width == cf2_intToFixed( -20 ) )
124     {
125       /* ghost top */
126 
127       if ( bottom )
128         hint->flags = 0;
129       else
130       {
131         hint->csCoord = stemHint->min;
132         hint->flags   = CF2_GhostTop;
133       }
134     }
135 
136     else if ( width < 0 )
137     {
138       /* inverted pair */
139 
140       /*
141        * Hints with negative widths were produced by an early version of a
142        * non-Adobe font tool.  The Type 2 spec allows edge (ghost) hints
143        * with negative widths, but says
144        *
145        *   All other negative widths have undefined meaning.
146        *
147        * CoolType has a silent workaround that negates the hint width; for
148        * permissive mode, we do the same here.
149        *
150        * Note: Such fonts cannot use ghost hints, but should otherwise work.
151        * Note: Some poor hints in our faux fonts can produce negative
152        *       widths at some blends.  For example, see a light weight of
153        *       `u' in ASerifMM.
154        *
155        */
156       if ( bottom )
157       {
158         hint->csCoord = stemHint->max;
159         hint->flags   = CF2_PairBottom;
160       }
161       else
162       {
163         hint->csCoord = stemHint->min;
164         hint->flags   = CF2_PairTop;
165       }
166     }
167 
168     else
169     {
170       /* normal pair */
171 
172       if ( bottom )
173       {
174         hint->csCoord = stemHint->min;
175         hint->flags   = CF2_PairBottom;
176       }
177       else
178       {
179         hint->csCoord = stemHint->max;
180         hint->flags   = CF2_PairTop;
181       }
182     }
183 
184     /* Now that ghost hints have been detected, adjust this edge for      */
185     /* darkening.  Bottoms are not changed; tops are incremented by twice */
186     /* `darkenY'.                                                         */
187     if ( cf2_hint_isTop( hint ) )
188       hint->csCoord += 2 * font->darkenY;
189 
190     hint->csCoord += hintOrigin;
191     hint->scale    = scale;
192     hint->index    = indexStemHint;   /* index in original stem hint array */
193 
194     /* if original stem hint has been used, use the same position */
195     if ( hint->flags != 0 && stemHint->used )
196     {
197       if ( cf2_hint_isTop( hint ) )
198         hint->dsCoord = stemHint->maxDS;
199       else
200         hint->dsCoord = stemHint->minDS;
201 
202       cf2_hint_lock( hint );
203     }
204     else
205       hint->dsCoord = FT_MulFix( hint->csCoord, scale );
206   }
207 
208 
209   /* initialize an invalid hint map element */
210   static void
cf2_hint_initZero(CF2_Hint hint)211   cf2_hint_initZero( CF2_Hint  hint )
212   {
213     FT_ZERO( hint );
214   }
215 
216 
217   FT_LOCAL_DEF( FT_Bool )
cf2_hint_isValid(const CF2_Hint hint)218   cf2_hint_isValid( const CF2_Hint  hint )
219   {
220     return (FT_Bool)( hint->flags != 0 );
221   }
222 
223 
224   static FT_Bool
cf2_hint_isPair(const CF2_Hint hint)225   cf2_hint_isPair( const CF2_Hint  hint )
226   {
227     return (FT_Bool)( ( hint->flags                      &
228                         ( CF2_PairBottom | CF2_PairTop ) ) != 0 );
229   }
230 
231 
232   static FT_Bool
cf2_hint_isPairTop(const CF2_Hint hint)233   cf2_hint_isPairTop( const CF2_Hint  hint )
234   {
235     return (FT_Bool)( ( hint->flags & CF2_PairTop ) != 0 );
236   }
237 
238 
239   FT_LOCAL_DEF( FT_Bool )
cf2_hint_isTop(const CF2_Hint hint)240   cf2_hint_isTop( const CF2_Hint  hint )
241   {
242     return (FT_Bool)( ( hint->flags                    &
243                         ( CF2_PairTop | CF2_GhostTop ) ) != 0 );
244   }
245 
246 
247   FT_LOCAL_DEF( FT_Bool )
cf2_hint_isBottom(const CF2_Hint hint)248   cf2_hint_isBottom( const CF2_Hint  hint )
249   {
250     return (FT_Bool)( ( hint->flags                          &
251                         ( CF2_PairBottom | CF2_GhostBottom ) ) != 0 );
252   }
253 
254 
255   static FT_Bool
cf2_hint_isLocked(const CF2_Hint hint)256   cf2_hint_isLocked( const CF2_Hint  hint )
257   {
258     return (FT_Bool)( ( hint->flags & CF2_Locked ) != 0 );
259   }
260 
261 
262   static FT_Bool
cf2_hint_isSynthetic(const CF2_Hint hint)263   cf2_hint_isSynthetic( const CF2_Hint  hint )
264   {
265     return (FT_Bool)( ( hint->flags & CF2_Synthetic ) != 0 );
266   }
267 
268 
269   FT_LOCAL_DEF( void )
cf2_hint_lock(CF2_Hint hint)270   cf2_hint_lock( CF2_Hint  hint )
271   {
272     hint->flags |= CF2_Locked;
273   }
274 
275 
276   FT_LOCAL_DEF( void )
cf2_hintmap_init(CF2_HintMap hintmap,CF2_Font font,CF2_HintMap initialMap,CF2_ArrStack hintMoves,CF2_Fixed scale)277   cf2_hintmap_init( CF2_HintMap   hintmap,
278                     CF2_Font      font,
279                     CF2_HintMap   initialMap,
280                     CF2_ArrStack  hintMoves,
281                     CF2_Fixed     scale )
282   {
283     FT_ZERO( hintmap );
284 
285     /* copy parameters from font instance */
286     hintmap->hinted         = font->hinted;
287     hintmap->scale          = scale;
288     hintmap->font           = font;
289     hintmap->initialHintMap = initialMap;
290     /* will clear in `cf2_hintmap_adjustHints' */
291     hintmap->hintMoves      = hintMoves;
292   }
293 
294 
295   static FT_Bool
cf2_hintmap_isValid(const CF2_HintMap hintmap)296   cf2_hintmap_isValid( const CF2_HintMap  hintmap )
297   {
298     return hintmap->isValid;
299   }
300 
301 
302   /* transform character space coordinate to device space using hint map */
303   static CF2_Fixed
cf2_hintmap_map(CF2_HintMap hintmap,CF2_Fixed csCoord)304   cf2_hintmap_map( CF2_HintMap  hintmap,
305                    CF2_Fixed    csCoord )
306   {
307     if ( hintmap->count == 0 || ! hintmap->hinted )
308     {
309       /* there are no hints; use uniform scale and zero offset */
310       return FT_MulFix( csCoord, hintmap->scale );
311     }
312     else
313     {
314       /* start linear search from last hit */
315       CF2_UInt  i = hintmap->lastIndex;
316 
317       FT_ASSERT( hintmap->lastIndex < CF2_MAX_HINT_EDGES );
318 
319       /* search up */
320       while ( i < hintmap->count - 1                  &&
321               csCoord >= hintmap->edge[i + 1].csCoord )
322         i += 1;
323 
324       /* search down */
325       while ( i > 0 && csCoord < hintmap->edge[i].csCoord )
326         i -= 1;
327 
328       hintmap->lastIndex = i;
329 
330       if ( i == 0 && csCoord < hintmap->edge[0].csCoord )
331       {
332         /* special case for points below first edge: use uniform scale */
333         return FT_MulFix( csCoord - hintmap->edge[0].csCoord,
334                           hintmap->scale ) +
335                  hintmap->edge[0].dsCoord;
336       }
337       else
338       {
339         /*
340          * Note: entries with duplicate csCoord are allowed.
341          * Use edge[i], the highest entry where csCoord >= entry[i].csCoord
342          */
343         return FT_MulFix( csCoord - hintmap->edge[i].csCoord,
344                           hintmap->edge[i].scale ) +
345                  hintmap->edge[i].dsCoord;
346       }
347     }
348   }
349 
350 
351   /*
352    * This hinting policy moves a hint pair in device space so that one of
353    * its two edges is on a device pixel boundary (its fractional part is
354    * zero).  `cf2_hintmap_insertHint' guarantees no overlap in CS
355    * space.  Ensure here that there is no overlap in DS.
356    *
357    * In the first pass, edges are adjusted relative to adjacent hints.
358    * Those that are below have already been adjusted.  Those that are
359    * above have not yet been adjusted.  If a hint above blocks an
360    * adjustment to an optimal position, we will try again in a second
361    * pass.  The second pass is top-down.
362    *
363    */
364 
365   static void
cf2_hintmap_adjustHints(CF2_HintMap hintmap)366   cf2_hintmap_adjustHints( CF2_HintMap  hintmap )
367   {
368     size_t  i, j;
369 
370 
371     cf2_arrstack_clear( hintmap->hintMoves );      /* working storage */
372 
373     /*
374      * First pass is bottom-up (font hint order) without look-ahead.
375      * Locked edges are already adjusted.
376      * Unlocked edges begin with dsCoord from `initialHintMap'.
377      * Save edges that are not optimally adjusted in `hintMoves' array,
378      * and process them in second pass.
379      */
380 
381     for ( i = 0; i < hintmap->count; i++ )
382     {
383       FT_Bool  isPair = cf2_hint_isPair( &hintmap->edge[i] );
384 
385 
386       /* index of upper edge (same value for ghost hint) */
387       j = isPair ? i + 1 : i;
388 
389       FT_ASSERT( j < hintmap->count );
390       FT_ASSERT( cf2_hint_isValid( &hintmap->edge[i] ) );
391       FT_ASSERT( cf2_hint_isValid( &hintmap->edge[j] ) );
392       FT_ASSERT( cf2_hint_isLocked( &hintmap->edge[i] ) ==
393                    cf2_hint_isLocked( &hintmap->edge[j] ) );
394 
395       if ( !cf2_hint_isLocked( &hintmap->edge[i] ) )
396       {
397         /* hint edge is not locked, we can adjust it */
398         CF2_Fixed  fracDown = cf2_fixedFraction( hintmap->edge[i].dsCoord );
399         CF2_Fixed  fracUp   = cf2_fixedFraction( hintmap->edge[j].dsCoord );
400 
401         /* calculate all four possibilities; moves down are negative */
402         CF2_Fixed  downMoveDown = 0 - fracDown;
403         CF2_Fixed  upMoveDown   = 0 - fracUp;
404         CF2_Fixed  downMoveUp   = fracDown == 0
405                                     ? 0
406                                     : cf2_intToFixed( 1 ) - fracDown;
407         CF2_Fixed  upMoveUp     = fracUp == 0
408                                     ? 0
409                                     : cf2_intToFixed( 1 ) - fracUp;
410 
411         /* smallest move up */
412         CF2_Fixed  moveUp   = FT_MIN( downMoveUp, upMoveUp );
413         /* smallest move down */
414         CF2_Fixed  moveDown = FT_MAX( downMoveDown, upMoveDown );
415 
416         /* final amount to move edge or edge pair */
417         CF2_Fixed  move;
418 
419         CF2_Fixed  downMinCounter = CF2_MIN_COUNTER;
420         CF2_Fixed  upMinCounter   = CF2_MIN_COUNTER;
421         FT_Bool    saveEdge       = FALSE;
422 
423 
424         /* minimum counter constraint doesn't apply when adjacent edges */
425         /* are synthetic                                                */
426         /* TODO: doesn't seem a big effect; for now, reduce the code    */
427 #if 0
428         if ( i == 0                                        ||
429              cf2_hint_isSynthetic( &hintmap->edge[i - 1] ) )
430           downMinCounter = 0;
431 
432         if ( j >= hintmap->count - 1                       ||
433              cf2_hint_isSynthetic( &hintmap->edge[j + 1] ) )
434           upMinCounter = 0;
435 #endif
436 
437         /* is there room to move up?                                    */
438         /* there is if we are at top of array or the next edge is at or */
439         /* beyond proposed move up?                                     */
440         if ( j >= hintmap->count - 1                            ||
441              hintmap->edge[j + 1].dsCoord >=
442                hintmap->edge[j].dsCoord + moveUp + upMinCounter )
443         {
444           /* there is room to move up; is there also room to move down? */
445           if ( i == 0                                                 ||
446                hintmap->edge[i - 1].dsCoord <=
447                  hintmap->edge[i].dsCoord + moveDown - downMinCounter )
448           {
449             /* move smaller absolute amount */
450             move = ( -moveDown < moveUp ) ? moveDown : moveUp;  /* optimum */
451           }
452           else
453             move = moveUp;
454         }
455         else
456         {
457           /* is there room to move down? */
458           if ( i == 0                                                 ||
459                hintmap->edge[i - 1].dsCoord <=
460                  hintmap->edge[i].dsCoord + moveDown - downMinCounter )
461           {
462             move     = moveDown;
463             /* true if non-optimum move */
464             saveEdge = (FT_Bool)( moveUp < -moveDown );
465           }
466           else
467           {
468             /* no room to move either way without overlapping or reducing */
469             /* the counter too much                                       */
470             move     = 0;
471             saveEdge = TRUE;
472           }
473         }
474 
475         /* Identify non-moves and moves down that aren't optimal, and save */
476         /* them for second pass.                                           */
477         /* Do this only if there is an unlocked edge above (which could    */
478         /* possibly move).                                                 */
479         if ( saveEdge                                    &&
480              j < hintmap->count - 1                      &&
481              !cf2_hint_isLocked( &hintmap->edge[j + 1] ) )
482         {
483           CF2_HintMoveRec  savedMove;
484 
485 
486           savedMove.j      = j;
487           /* desired adjustment in second pass */
488           savedMove.moveUp = moveUp - move;
489 
490           cf2_arrstack_push( hintmap->hintMoves, &savedMove );
491         }
492 
493         /* move the edge(s) */
494         hintmap->edge[i].dsCoord += move;
495         if ( isPair )
496           hintmap->edge[j].dsCoord += move;
497       }
498 
499       /* assert there are no overlaps in device space */
500       FT_ASSERT( i == 0                                                   ||
501                  hintmap->edge[i - 1].dsCoord <= hintmap->edge[i].dsCoord );
502       FT_ASSERT( i < j                                                ||
503                  hintmap->edge[i].dsCoord <= hintmap->edge[j].dsCoord );
504 
505       /* adjust the scales, avoiding divide by zero */
506       if ( i > 0 )
507       {
508         if ( hintmap->edge[i].csCoord != hintmap->edge[i - 1].csCoord )
509           hintmap->edge[i - 1].scale =
510             FT_DivFix(
511               hintmap->edge[i].dsCoord - hintmap->edge[i - 1].dsCoord,
512               hintmap->edge[i].csCoord - hintmap->edge[i - 1].csCoord );
513       }
514 
515       if ( isPair )
516       {
517         if ( hintmap->edge[j].csCoord != hintmap->edge[j - 1].csCoord )
518           hintmap->edge[j - 1].scale =
519             FT_DivFix(
520               hintmap->edge[j].dsCoord - hintmap->edge[j - 1].dsCoord,
521               hintmap->edge[j].csCoord - hintmap->edge[j - 1].csCoord );
522 
523         i += 1;     /* skip upper edge on next loop */
524       }
525     }
526 
527     /* second pass tries to move non-optimal hints up, in case there is */
528     /* room now                                                         */
529     for ( i = cf2_arrstack_size( hintmap->hintMoves ); i > 0; i-- )
530     {
531       CF2_HintMove  hintMove = (CF2_HintMove)
532                       cf2_arrstack_getPointer( hintmap->hintMoves, i - 1 );
533 
534 
535       j = hintMove->j;
536 
537       /* this was tested before the push, above */
538       FT_ASSERT( j < hintmap->count - 1 );
539 
540       /* is there room to move up? */
541       if ( hintmap->edge[j + 1].dsCoord >=
542              hintmap->edge[j].dsCoord + hintMove->moveUp + CF2_MIN_COUNTER )
543       {
544         /* there is more room now, move edge up */
545         hintmap->edge[j].dsCoord += hintMove->moveUp;
546 
547         if ( cf2_hint_isPair( &hintmap->edge[j] ) )
548         {
549           FT_ASSERT( j > 0 );
550           hintmap->edge[j - 1].dsCoord += hintMove->moveUp;
551         }
552       }
553     }
554   }
555 
556 
557   /* insert hint edges into map, sorted by csCoord */
558   static void
cf2_hintmap_insertHint(CF2_HintMap hintmap,CF2_Hint bottomHintEdge,CF2_Hint topHintEdge)559   cf2_hintmap_insertHint( CF2_HintMap  hintmap,
560                           CF2_Hint     bottomHintEdge,
561                           CF2_Hint     topHintEdge )
562   {
563     CF2_UInt  indexInsert;
564 
565     /* set default values, then check for edge hints */
566     FT_Bool   isPair         = TRUE;
567     CF2_Hint  firstHintEdge  = bottomHintEdge;
568     CF2_Hint  secondHintEdge = topHintEdge;
569 
570 
571     /* one or none of the input params may be invalid when dealing with */
572     /* edge hints; at least one edge must be valid                      */
573     FT_ASSERT( cf2_hint_isValid( bottomHintEdge ) ||
574                cf2_hint_isValid( topHintEdge )    );
575 
576     /* determine how many and which edges to insert */
577     if ( !cf2_hint_isValid( bottomHintEdge ) )
578     {
579       /* insert only the top edge */
580       firstHintEdge = topHintEdge;
581       isPair        = FALSE;
582     }
583     else if ( !cf2_hint_isValid( topHintEdge ) )
584     {
585       /* insert only the bottom edge */
586       isPair = FALSE;
587     }
588 
589     /* paired edges must be in proper order */
590     if ( isPair                                         &&
591          topHintEdge->csCoord < bottomHintEdge->csCoord )
592       return;
593 
594     /* linear search to find index value of insertion point */
595     indexInsert = 0;
596     for ( ; indexInsert < hintmap->count; indexInsert++ )
597     {
598       if ( hintmap->edge[indexInsert].csCoord >= firstHintEdge->csCoord )
599         break;
600     }
601 
602     /*
603      * Discard any hints that overlap in character space.  Most often, this
604      * is while building the initial map, where captured hints from all
605      * zones are combined.  Define overlap to include hints that `touch'
606      * (overlap zero).  Hiragino Sans/Gothic fonts have numerous hints that
607      * touch.  Some fonts have non-ideographic glyphs that overlap our
608      * synthetic hints.
609      *
610      * Overlap also occurs when darkening stem hints that are close.
611      *
612      */
613     if ( indexInsert < hintmap->count )
614     {
615       /* we are inserting before an existing edge:    */
616       /* verify that an existing edge is not the same */
617       if ( hintmap->edge[indexInsert].csCoord == firstHintEdge->csCoord )
618         return; /* ignore overlapping stem hint */
619 
620       /* verify that a new pair does not straddle the next edge */
621       if ( isPair                                                        &&
622            hintmap->edge[indexInsert].csCoord <= secondHintEdge->csCoord )
623         return; /* ignore overlapping stem hint */
624 
625       /* verify that we are not inserting between paired edges */
626       if ( cf2_hint_isPairTop( &hintmap->edge[indexInsert] ) )
627         return; /* ignore overlapping stem hint */
628     }
629 
630     /* recompute device space locations using initial hint map */
631     if ( cf2_hintmap_isValid( hintmap->initialHintMap ) &&
632          !cf2_hint_isLocked( firstHintEdge )            )
633     {
634       if ( isPair )
635       {
636         /* Use hint map to position the center of stem, and nominal scale */
637         /* to position the two edges.  This preserves the stem width.     */
638         CF2_Fixed  midpoint  = cf2_hintmap_map(
639                                  hintmap->initialHintMap,
640                                  ( secondHintEdge->csCoord +
641                                    firstHintEdge->csCoord ) / 2 );
642         CF2_Fixed  halfWidth = FT_MulFix(
643                                  ( secondHintEdge->csCoord -
644                                    firstHintEdge->csCoord ) / 2,
645                                  hintmap->scale );
646 
647 
648         firstHintEdge->dsCoord  = midpoint - halfWidth;
649         secondHintEdge->dsCoord = midpoint + halfWidth;
650       }
651       else
652         firstHintEdge->dsCoord = cf2_hintmap_map( hintmap->initialHintMap,
653                                                   firstHintEdge->csCoord );
654     }
655 
656     /*
657      * Discard any hints that overlap in device space; this can occur
658      * because locked hints have been moved to align with blue zones.
659      *
660      * TODO: Although we might correct this later during adjustment, we
661      * don't currently have a way to delete a conflicting hint once it has
662      * been inserted.  See v2.030 MinionPro-Regular, 12 ppem darkened,
663      * initial hint map for second path, glyph 945 (the perispomeni (tilde)
664      * in U+1F6E, Greek omega with psili and perispomeni).  Darkening is
665      * 25.  Pair 667,747 initially conflicts in design space with top edge
666      * 660.  This is because 667 maps to 7.87, and the top edge was
667      * captured by a zone at 8.0.  The pair is later successfully inserted
668      * in a zone without the top edge.  In this zone it is adjusted to 8.0,
669      * and no longer conflicts with the top edge in design space.  This
670      * means it can be included in yet a later zone which does have the top
671      * edge hint.  This produces a small mismatch between the first and
672      * last points of this path, even though the hint masks are the same.
673      * The density map difference is tiny (1/256).
674      *
675      */
676 
677     if ( indexInsert > 0 )
678     {
679       /* we are inserting after an existing edge */
680       if ( firstHintEdge->dsCoord < hintmap->edge[indexInsert - 1].dsCoord )
681         return;
682     }
683 
684     if ( indexInsert < hintmap->count )
685     {
686       /* we are inserting before an existing edge */
687       if ( isPair )
688       {
689         if ( secondHintEdge->dsCoord > hintmap->edge[indexInsert].dsCoord )
690           return;
691       }
692       else
693       {
694         if ( firstHintEdge->dsCoord > hintmap->edge[indexInsert].dsCoord )
695           return;
696       }
697     }
698 
699     /* make room to insert */
700     {
701       CF2_UInt  iSrc = hintmap->count - 1;
702       CF2_UInt  iDst = isPair ? hintmap->count + 1 : hintmap->count;
703 
704       CF2_UInt  count = hintmap->count - indexInsert;
705 
706 
707       if ( iDst >= CF2_MAX_HINT_EDGES )
708       {
709         FT_TRACE4(( "cf2_hintmap_insertHint: too many hintmaps\n" ));
710         return;
711       }
712 
713       while ( count-- )
714         hintmap->edge[iDst--] = hintmap->edge[iSrc--];
715 
716       /* insert first edge */
717       hintmap->edge[indexInsert] = *firstHintEdge;         /* copy struct */
718       hintmap->count += 1;
719 
720       if ( isPair )
721       {
722         /* insert second edge */
723         hintmap->edge[indexInsert + 1] = *secondHintEdge;  /* copy struct */
724         hintmap->count                += 1;
725       }
726     }
727 
728     return;
729   }
730 
731 
732   /*
733    * Build a map from hints and mask.
734    *
735    * This function may recur one level if `hintmap->initialHintMap' is not yet
736    * valid.
737    * If `initialMap' is true, simply build initial map.
738    *
739    * Synthetic hints are used in two ways.  A hint at zero is inserted, if
740    * needed, in the initial hint map, to prevent translations from
741    * propagating across the origin.  If synthetic em box hints are enabled
742    * for ideographic dictionaries, then they are inserted in all hint
743    * maps, including the initial one.
744    *
745    */
746   FT_LOCAL_DEF( void )
cf2_hintmap_build(CF2_HintMap hintmap,CF2_ArrStack hStemHintArray,CF2_ArrStack vStemHintArray,CF2_HintMask hintMask,CF2_Fixed hintOrigin,FT_Bool initialMap)747   cf2_hintmap_build( CF2_HintMap   hintmap,
748                      CF2_ArrStack  hStemHintArray,
749                      CF2_ArrStack  vStemHintArray,
750                      CF2_HintMask  hintMask,
751                      CF2_Fixed     hintOrigin,
752                      FT_Bool       initialMap )
753   {
754     FT_Byte*  maskPtr;
755 
756     CF2_Font         font = hintmap->font;
757     CF2_HintMaskRec  tempHintMask;
758 
759     size_t   bitCount, i;
760     FT_Byte  maskByte;
761 
762 
763     /* check whether initial map is constructed */
764     if ( !initialMap && !cf2_hintmap_isValid( hintmap->initialHintMap ) )
765     {
766       /* make recursive call with initialHintMap and temporary mask; */
767       /* temporary mask will get all bits set, below */
768       cf2_hintmask_init( &tempHintMask, hintMask->error );
769       cf2_hintmap_build( hintmap->initialHintMap,
770                          hStemHintArray,
771                          vStemHintArray,
772                          &tempHintMask,
773                          hintOrigin,
774                          TRUE );
775     }
776 
777     if ( !cf2_hintmask_isValid( hintMask ) )
778     {
779       /* without a hint mask, assume all hints are active */
780       cf2_hintmask_setAll( hintMask,
781                            cf2_arrstack_size( hStemHintArray ) +
782                              cf2_arrstack_size( vStemHintArray ) );
783       if ( !cf2_hintmask_isValid( hintMask ) )
784           return;                   /* too many stem hints */
785     }
786 
787     /* begin by clearing the map */
788     hintmap->count     = 0;
789     hintmap->lastIndex = 0;
790 
791     /* make a copy of the hint mask so we can modify it */
792     tempHintMask = *hintMask;
793     maskPtr      = cf2_hintmask_getMaskPtr( &tempHintMask );
794 
795     /* use the hStem hints only, which are first in the mask */
796     bitCount = cf2_arrstack_size( hStemHintArray );
797 
798     /* Defense-in-depth.  Should never return here. */
799     if ( bitCount > hintMask->bitCount )
800         return;
801 
802     /* synthetic embox hints get highest priority */
803     if ( font->blues.doEmBoxHints )
804     {
805       CF2_HintRec  dummy;
806 
807 
808       cf2_hint_initZero( &dummy );   /* invalid hint map element */
809 
810       /* ghost bottom */
811       cf2_hintmap_insertHint( hintmap,
812                               &font->blues.emBoxBottomEdge,
813                               &dummy );
814       /* ghost top */
815       cf2_hintmap_insertHint( hintmap,
816                               &dummy,
817                               &font->blues.emBoxTopEdge );
818     }
819 
820     /* insert hints captured by a blue zone or already locked (higher */
821     /* priority)                                                      */
822     for ( i = 0, maskByte = 0x80; i < bitCount; i++ )
823     {
824       if ( maskByte & *maskPtr )
825       {
826         /* expand StemHint into two `CF2_Hint' elements */
827         CF2_HintRec  bottomHintEdge, topHintEdge;
828 
829 
830         cf2_hint_init( &bottomHintEdge,
831                        hStemHintArray,
832                        i,
833                        font,
834                        hintOrigin,
835                        hintmap->scale,
836                        TRUE /* bottom */ );
837         cf2_hint_init( &topHintEdge,
838                        hStemHintArray,
839                        i,
840                        font,
841                        hintOrigin,
842                        hintmap->scale,
843                        FALSE /* top */ );
844 
845         if ( cf2_hint_isLocked( &bottomHintEdge ) ||
846              cf2_hint_isLocked( &topHintEdge )    ||
847              cf2_blues_capture( &font->blues,
848                                 &bottomHintEdge,
849                                 &topHintEdge )   )
850         {
851           /* insert captured hint into map */
852           cf2_hintmap_insertHint( hintmap, &bottomHintEdge, &topHintEdge );
853 
854           *maskPtr &= ~maskByte;      /* turn off the bit for this hint */
855         }
856       }
857 
858       if ( ( i & 7 ) == 7 )
859       {
860         /* move to next mask byte */
861         maskPtr++;
862         maskByte = 0x80;
863       }
864       else
865         maskByte >>= 1;
866     }
867 
868     /* initial hint map includes only captured hints plus maybe one at 0 */
869 
870     /*
871      * TODO: There is a problem here because we are trying to build a
872      *       single hint map containing all captured hints.  It is
873      *       possible for there to be conflicts between captured hints,
874      *       either because of darkening or because the hints are in
875      *       separate hint zones (we are ignoring hint zones for the
876      *       initial map).  An example of the latter is MinionPro-Regular
877      *       v2.030 glyph 883 (Greek Capital Alpha with Psili) at 15ppem.
878      *       A stem hint for the psili conflicts with the top edge hint
879      *       for the base character.  The stem hint gets priority because
880      *       of its sort order.  In glyph 884 (Greek Capital Alpha with
881      *       Psili and Oxia), the top of the base character gets a stem
882      *       hint, and the psili does not.  This creates different initial
883      *       maps for the two glyphs resulting in different renderings of
884      *       the base character.  Will probably defer this either as not
885      *       worth the cost or as a font bug.  I don't think there is any
886      *       good reason for an accent to be captured by an alignment
887      *       zone.  -darnold 2/12/10
888      */
889 
890     if ( initialMap )
891     {
892       /* Apply a heuristic that inserts a point for (0,0), unless it's     */
893       /* already covered by a mapping.  This locks the baseline for glyphs */
894       /* that have no baseline hints.                                      */
895 
896       if ( hintmap->count == 0                           ||
897            hintmap->edge[0].csCoord > 0                  ||
898            hintmap->edge[hintmap->count - 1].csCoord < 0 )
899       {
900         /* all edges are above 0 or all edges are below 0; */
901         /* construct a locked edge hint at 0               */
902 
903         CF2_HintRec  edge, invalid;
904 
905 
906         cf2_hint_initZero( &edge );
907 
908         edge.flags = CF2_GhostBottom |
909                      CF2_Locked      |
910                      CF2_Synthetic;
911         edge.scale = hintmap->scale;
912 
913         cf2_hint_initZero( &invalid );
914         cf2_hintmap_insertHint( hintmap, &edge, &invalid );
915       }
916     }
917     else
918     {
919       /* insert remaining hints */
920 
921       maskPtr = cf2_hintmask_getMaskPtr( &tempHintMask );
922 
923       for ( i = 0, maskByte = 0x80; i < bitCount; i++ )
924       {
925         if ( maskByte & *maskPtr )
926         {
927           CF2_HintRec  bottomHintEdge, topHintEdge;
928 
929 
930           cf2_hint_init( &bottomHintEdge,
931                          hStemHintArray,
932                          i,
933                          font,
934                          hintOrigin,
935                          hintmap->scale,
936                          TRUE /* bottom */ );
937           cf2_hint_init( &topHintEdge,
938                          hStemHintArray,
939                          i,
940                          font,
941                          hintOrigin,
942                          hintmap->scale,
943                          FALSE /* top */ );
944 
945           cf2_hintmap_insertHint( hintmap, &bottomHintEdge, &topHintEdge );
946         }
947 
948         if ( ( i & 7 ) == 7 )
949         {
950           /* move to next mask byte */
951           maskPtr++;
952           maskByte = 0x80;
953         }
954         else
955           maskByte >>= 1;
956       }
957     }
958 
959     /*
960      * Note: The following line is a convenient place to break when
961      *       debugging hinting.  Examine `hintmap->edge' for the list of
962      *       enabled hints, then step over the call to see the effect of
963      *       adjustment.  We stop here first on the recursive call that
964      *       creates the initial map, and then on each counter group and
965      *       hint zone.
966      */
967 
968     /* adjust positions of hint edges that are not locked to blue zones */
969     cf2_hintmap_adjustHints( hintmap );
970 
971     /* save the position of all hints that were used in this hint map; */
972     /* if we use them again, we'll locate them in the same position    */
973     if ( !initialMap )
974     {
975       for ( i = 0; i < hintmap->count; i++ )
976       {
977         if ( !cf2_hint_isSynthetic( &hintmap->edge[i] ) )
978         {
979           /* Note: include both valid and invalid edges            */
980           /* Note: top and bottom edges are copied back separately */
981           CF2_StemHint  stemhint = (CF2_StemHint)
982                           cf2_arrstack_getPointer( hStemHintArray,
983                                                    hintmap->edge[i].index );
984 
985 
986           if ( cf2_hint_isTop( &hintmap->edge[i] ) )
987             stemhint->maxDS = hintmap->edge[i].dsCoord;
988           else
989             stemhint->minDS = hintmap->edge[i].dsCoord;
990 
991           stemhint->used = TRUE;
992         }
993       }
994     }
995 
996     /* hint map is ready to use */
997     hintmap->isValid = TRUE;
998 
999     /* remember this mask has been used */
1000     cf2_hintmask_setNew( hintMask, FALSE );
1001   }
1002 
1003 
1004   FT_LOCAL_DEF( void )
cf2_glyphpath_init(CF2_GlyphPath glyphpath,CF2_Font font,CF2_OutlineCallbacks callbacks,CF2_Fixed scaleY,CF2_ArrStack hStemHintArray,CF2_ArrStack vStemHintArray,CF2_HintMask hintMask,CF2_Fixed hintOriginY,const CF2_Blues blues,const FT_Vector * fractionalTranslation)1005   cf2_glyphpath_init( CF2_GlyphPath         glyphpath,
1006                       CF2_Font              font,
1007                       CF2_OutlineCallbacks  callbacks,
1008                       CF2_Fixed             scaleY,
1009                       /* CF2_Fixed  hShift, */
1010                       CF2_ArrStack          hStemHintArray,
1011                       CF2_ArrStack          vStemHintArray,
1012                       CF2_HintMask          hintMask,
1013                       CF2_Fixed             hintOriginY,
1014                       const CF2_Blues       blues,
1015                       const FT_Vector*      fractionalTranslation )
1016   {
1017     FT_ZERO( glyphpath );
1018 
1019     glyphpath->font      = font;
1020     glyphpath->callbacks = callbacks;
1021 
1022     cf2_arrstack_init( &glyphpath->hintMoves,
1023                        font->memory,
1024                        &font->error,
1025                        sizeof ( CF2_HintMoveRec ) );
1026 
1027     cf2_hintmap_init( &glyphpath->initialHintMap,
1028                       font,
1029                       &glyphpath->initialHintMap,
1030                       &glyphpath->hintMoves,
1031                       scaleY );
1032     cf2_hintmap_init( &glyphpath->firstHintMap,
1033                       font,
1034                       &glyphpath->initialHintMap,
1035                       &glyphpath->hintMoves,
1036                       scaleY );
1037     cf2_hintmap_init( &glyphpath->hintMap,
1038                       font,
1039                       &glyphpath->initialHintMap,
1040                       &glyphpath->hintMoves,
1041                       scaleY );
1042 
1043     glyphpath->scaleX = font->innerTransform.a;
1044     glyphpath->scaleC = font->innerTransform.c;
1045     glyphpath->scaleY = font->innerTransform.d;
1046 
1047     glyphpath->fractionalTranslation = *fractionalTranslation;
1048 
1049 #if 0
1050     glyphpath->hShift = hShift;       /* for fauxing */
1051 #endif
1052 
1053     glyphpath->hStemHintArray = hStemHintArray;
1054     glyphpath->vStemHintArray = vStemHintArray;
1055     glyphpath->hintMask       = hintMask;      /* ptr to current mask */
1056     glyphpath->hintOriginY    = hintOriginY;
1057     glyphpath->blues          = blues;
1058     glyphpath->darken         = font->darkened; /* TODO: should we make copies? */
1059     glyphpath->xOffset        = font->darkenX;
1060     glyphpath->yOffset        = font->darkenY;
1061     glyphpath->miterLimit     = 2 * FT_MAX(
1062                                      cf2_fixedAbs( glyphpath->xOffset ),
1063                                      cf2_fixedAbs( glyphpath->yOffset ) );
1064 
1065     /* .1 character space unit */
1066     glyphpath->snapThreshold = cf2_floatToFixed( 0.1f );
1067 
1068     glyphpath->moveIsPending = TRUE;
1069     glyphpath->pathIsOpen    = FALSE;
1070     glyphpath->pathIsClosing = FALSE;
1071     glyphpath->elemIsQueued  = FALSE;
1072   }
1073 
1074 
1075   FT_LOCAL_DEF( void )
cf2_glyphpath_finalize(CF2_GlyphPath glyphpath)1076   cf2_glyphpath_finalize( CF2_GlyphPath  glyphpath )
1077   {
1078     cf2_arrstack_finalize( &glyphpath->hintMoves );
1079   }
1080 
1081 
1082   /*
1083    * Hint point in y-direction and apply outerTransform.
1084    * Input `current' hint map (which is actually delayed by one element).
1085    * Input x,y point in Character Space.
1086    * Output x,y point in Device Space, including translation.
1087    */
1088   static void
cf2_glyphpath_hintPoint(CF2_GlyphPath glyphpath,CF2_HintMap hintmap,FT_Vector * ppt,CF2_Fixed x,CF2_Fixed y)1089   cf2_glyphpath_hintPoint( CF2_GlyphPath  glyphpath,
1090                            CF2_HintMap    hintmap,
1091                            FT_Vector*     ppt,
1092                            CF2_Fixed      x,
1093                            CF2_Fixed      y )
1094   {
1095     FT_Vector  pt;   /* hinted point in upright DS */
1096 
1097 
1098     pt.x = FT_MulFix( glyphpath->scaleX, x ) +
1099              FT_MulFix( glyphpath->scaleC, y );
1100     pt.y = cf2_hintmap_map( hintmap, y );
1101 
1102     ppt->x = FT_MulFix( glyphpath->font->outerTransform.a, pt.x )   +
1103                FT_MulFix( glyphpath->font->outerTransform.c, pt.y ) +
1104                glyphpath->fractionalTranslation.x;
1105     ppt->y = FT_MulFix( glyphpath->font->outerTransform.b, pt.x )   +
1106                FT_MulFix( glyphpath->font->outerTransform.d, pt.y ) +
1107                glyphpath->fractionalTranslation.y;
1108   }
1109 
1110 
1111   /*
1112    * From two line segments, (u1,u2) and (v1,v2), compute a point of
1113    * intersection on the corresponding lines.
1114    * Return false if no intersection is found, or if the intersection is
1115    * too far away from the ends of the line segments, u2 and v1.
1116    *
1117    */
1118   static FT_Bool
cf2_glyphpath_computeIntersection(CF2_GlyphPath glyphpath,const FT_Vector * u1,const FT_Vector * u2,const FT_Vector * v1,const FT_Vector * v2,FT_Vector * intersection)1119   cf2_glyphpath_computeIntersection( CF2_GlyphPath     glyphpath,
1120                                      const FT_Vector*  u1,
1121                                      const FT_Vector*  u2,
1122                                      const FT_Vector*  v1,
1123                                      const FT_Vector*  v2,
1124                                      FT_Vector*        intersection )
1125   {
1126     /*
1127      * Let `u' be a zero-based vector from the first segment, `v' from the
1128      * second segment.
1129      * Let `w 'be the zero-based vector from `u1' to `v1'.
1130      * `perp' is the `perpendicular dot product'; see
1131      * http://mathworld.wolfram.com/PerpDotProduct.html.
1132      * `s' is the parameter for the parametric line for the first segment
1133      * (`u').
1134      *
1135      * See notation in
1136      * http://softsurfer.com/Archive/algorithm_0104/algorithm_0104B.htm.
1137      * Calculations are done in 16.16, but must handle the squaring of
1138      * line lengths in character space.  We scale all vectors by 1/32 to
1139      * avoid overflow.  This allows values up to 4095 to be squared.  The
1140      * scale factor cancels in the divide.
1141      *
1142      * TODO: the scale factor could be computed from UnitsPerEm.
1143      *
1144      */
1145 
1146 #define cf2_perp( a, b )                                    \
1147           ( FT_MulFix( a.x, b.y ) - FT_MulFix( a.y, b.x ) )
1148 
1149   /* round and divide by 32 */
1150 #define CF2_CS_SCALE( x )         \
1151           ( ( (x) + 0x10 ) >> 5 )
1152 
1153     FT_Vector  u, v, w;      /* scaled vectors */
1154     CF2_Fixed  denominator, s;
1155 
1156 
1157     u.x = CF2_CS_SCALE( u2->x - u1->x );
1158     u.y = CF2_CS_SCALE( u2->y - u1->y );
1159     v.x = CF2_CS_SCALE( v2->x - v1->x );
1160     v.y = CF2_CS_SCALE( v2->y - v1->y );
1161     w.x = CF2_CS_SCALE( v1->x - u1->x );
1162     w.y = CF2_CS_SCALE( v1->y - u1->y );
1163 
1164     denominator = cf2_perp( u, v );
1165 
1166     if ( denominator == 0 )
1167       return FALSE;           /* parallel or coincident lines */
1168 
1169     s = FT_DivFix( cf2_perp( w, v ), denominator );
1170 
1171     intersection->x = u1->x + FT_MulFix( s, u2->x - u1->x );
1172     intersection->y = u1->y + FT_MulFix( s, u2->y - u1->y );
1173 
1174     /*
1175      * Special case snapping for horizontal and vertical lines.
1176      * This cleans up intersections and reduces problems with winding
1177      * order detection.
1178      * Sample case is sbc cd KozGoPr6N-Medium.otf 20 16685.
1179      * Note: these calculations are in character space.
1180      *
1181      */
1182 
1183     if ( u1->x == u2->x                                                     &&
1184          cf2_fixedAbs( intersection->x - u1->x ) < glyphpath->snapThreshold )
1185       intersection->x = u1->x;
1186     if ( u1->y == u2->y                                                     &&
1187          cf2_fixedAbs( intersection->y - u1->y ) < glyphpath->snapThreshold )
1188       intersection->y = u1->y;
1189 
1190     if ( v1->x == v2->x                                                     &&
1191          cf2_fixedAbs( intersection->x - v1->x ) < glyphpath->snapThreshold )
1192       intersection->x = v1->x;
1193     if ( v1->y == v2->y                                                     &&
1194          cf2_fixedAbs( intersection->y - v1->y ) < glyphpath->snapThreshold )
1195       intersection->y = v1->y;
1196 
1197     /* limit the intersection distance from midpoint of u2 and v1 */
1198     if ( cf2_fixedAbs( intersection->x - ( u2->x + v1->x ) / 2 ) >
1199            glyphpath->miterLimit                                   ||
1200          cf2_fixedAbs( intersection->y - ( u2->y + v1->y ) / 2 ) >
1201            glyphpath->miterLimit                                   )
1202       return FALSE;
1203 
1204     return TRUE;
1205   }
1206 
1207 
1208   /*
1209    * Push the cached element (glyphpath->prevElem*) to the outline
1210    * consumer.  When a darkening offset is used, the end point of the
1211    * cached element may be adjusted to an intersection point or we may
1212    * synthesize a connecting line to the current element.  If we are
1213    * closing a subpath, we may also generate a connecting line to the start
1214    * point.
1215    *
1216    * This is where Character Space (CS) is converted to Device Space (DS)
1217    * using a hint map.  This calculation must use a HintMap that was valid
1218    * at the time the element was saved.  For the first point in a subpath,
1219    * that is a saved HintMap.  For most elements, it just means the caller
1220    * has delayed building a HintMap from the current HintMask.
1221    *
1222    * Transform each point with outerTransform and call the outline
1223    * callbacks.  This is a general 3x3 transform:
1224    *
1225    *   x' = a*x + c*y + tx, y' = b*x + d*y + ty
1226    *
1227    * but it uses 4 elements from CF2_Font and the translation part
1228    * from CF2_GlyphPath.
1229    *
1230    */
1231   static void
cf2_glyphpath_pushPrevElem(CF2_GlyphPath glyphpath,CF2_HintMap hintmap,FT_Vector * nextP0,FT_Vector nextP1,FT_Bool close)1232   cf2_glyphpath_pushPrevElem( CF2_GlyphPath  glyphpath,
1233                               CF2_HintMap    hintmap,
1234                               FT_Vector*     nextP0,
1235                               FT_Vector      nextP1,
1236                               FT_Bool        close )
1237   {
1238     CF2_CallbackParamsRec  params;
1239 
1240     FT_Vector*  prevP0;
1241     FT_Vector*  prevP1;
1242 
1243     FT_Vector  intersection    = { 0, 0 };
1244     FT_Bool    useIntersection = FALSE;
1245 
1246 
1247     FT_ASSERT( glyphpath->prevElemOp == CF2_PathOpLineTo ||
1248                glyphpath->prevElemOp == CF2_PathOpCubeTo );
1249 
1250     if ( glyphpath->prevElemOp == CF2_PathOpLineTo )
1251     {
1252       prevP0 = &glyphpath->prevElemP0;
1253       prevP1 = &glyphpath->prevElemP1;
1254     }
1255     else
1256     {
1257       prevP0 = &glyphpath->prevElemP2;
1258       prevP1 = &glyphpath->prevElemP3;
1259     }
1260 
1261     /* optimization: if previous and next elements are offset by the same */
1262     /* amount, then there will be no gap, and no need to compute an       */
1263     /* intersection.                                                      */
1264     if ( prevP1->x != nextP0->x || prevP1->y != nextP0->y )
1265     {
1266       /* previous element does not join next element:             */
1267       /* adjust end point of previous element to the intersection */
1268       useIntersection = cf2_glyphpath_computeIntersection( glyphpath,
1269                                                            prevP0,
1270                                                            prevP1,
1271                                                            nextP0,
1272                                                            &nextP1,
1273                                                            &intersection );
1274       if ( useIntersection )
1275       {
1276         /* modify the last point of the cached element (either line or */
1277         /* curve)                                                      */
1278         *prevP1 = intersection;
1279       }
1280     }
1281 
1282     params.pt0 = glyphpath->currentDS;
1283 
1284     switch( glyphpath->prevElemOp )
1285     {
1286     case CF2_PathOpLineTo:
1287       params.op = CF2_PathOpLineTo;
1288 
1289       /* note: pt2 and pt3 are unused */
1290 
1291       if ( close )
1292       {
1293         /* use first hint map if closing */
1294         cf2_glyphpath_hintPoint( glyphpath,
1295                                  &glyphpath->firstHintMap,
1296                                  &params.pt1,
1297                                  glyphpath->prevElemP1.x,
1298                                  glyphpath->prevElemP1.y );
1299       }
1300       else
1301       {
1302         cf2_glyphpath_hintPoint( glyphpath,
1303                                  hintmap,
1304                                  &params.pt1,
1305                                  glyphpath->prevElemP1.x,
1306                                  glyphpath->prevElemP1.y );
1307       }
1308 
1309       /* output only non-zero length lines */
1310       if ( params.pt0.x != params.pt1.x || params.pt0.y != params.pt1.y )
1311       {
1312         glyphpath->callbacks->lineTo( glyphpath->callbacks, &params );
1313 
1314         glyphpath->currentDS = params.pt1;
1315       }
1316       break;
1317 
1318     case CF2_PathOpCubeTo:
1319       params.op = CF2_PathOpCubeTo;
1320 
1321       /* TODO: should we intersect the interior joins (p1-p2 and p2-p3)? */
1322       cf2_glyphpath_hintPoint( glyphpath,
1323                                hintmap,
1324                                &params.pt1,
1325                                glyphpath->prevElemP1.x,
1326                                glyphpath->prevElemP1.y );
1327       cf2_glyphpath_hintPoint( glyphpath,
1328                                hintmap,
1329                                &params.pt2,
1330                                glyphpath->prevElemP2.x,
1331                                glyphpath->prevElemP2.y );
1332       cf2_glyphpath_hintPoint( glyphpath,
1333                                hintmap,
1334                                &params.pt3,
1335                                glyphpath->prevElemP3.x,
1336                                glyphpath->prevElemP3.y );
1337 
1338       glyphpath->callbacks->cubeTo( glyphpath->callbacks, &params );
1339 
1340       glyphpath->currentDS = params.pt3;
1341 
1342       break;
1343     }
1344 
1345     if ( !useIntersection || close )
1346     {
1347       /* insert connecting line between end of previous element and start */
1348       /* of current one                                                   */
1349       /* note: at the end of a subpath, we might do both, so use `nextP0' */
1350       /* before we change it, below                                       */
1351 
1352       if ( close )
1353       {
1354         /* if we are closing the subpath, then nextP0 is in the first     */
1355         /* hint zone                                                      */
1356         cf2_glyphpath_hintPoint( glyphpath,
1357                                  &glyphpath->firstHintMap,
1358                                  &params.pt1,
1359                                  nextP0->x,
1360                                  nextP0->y );
1361       }
1362       else
1363       {
1364         cf2_glyphpath_hintPoint( glyphpath,
1365                                  hintmap,
1366                                  &params.pt1,
1367                                  nextP0->x,
1368                                  nextP0->y );
1369       }
1370 
1371       if ( params.pt1.x != glyphpath->currentDS.x ||
1372            params.pt1.y != glyphpath->currentDS.y )
1373       {
1374         /* length is nonzero */
1375         params.op  = CF2_PathOpLineTo;
1376         params.pt0 = glyphpath->currentDS;
1377 
1378         /* note: pt2 and pt3 are unused */
1379         glyphpath->callbacks->lineTo( glyphpath->callbacks, &params );
1380 
1381         glyphpath->currentDS = params.pt1;
1382       }
1383     }
1384 
1385     if ( useIntersection )
1386     {
1387       /* return intersection point to caller */
1388       *nextP0 = intersection;
1389     }
1390   }
1391 
1392 
1393   /* push a MoveTo element based on current point and offset of current */
1394   /* element                                                            */
1395   static void
cf2_glyphpath_pushMove(CF2_GlyphPath glyphpath,FT_Vector start)1396   cf2_glyphpath_pushMove( CF2_GlyphPath  glyphpath,
1397                           FT_Vector      start )
1398   {
1399     CF2_CallbackParamsRec  params;
1400 
1401 
1402     params.op  = CF2_PathOpMoveTo;
1403     params.pt0 = glyphpath->currentDS;
1404 
1405     /* Test if move has really happened yet; it would have called */
1406     /* `cf2_hintmap_build' to set `isValid'.                   */
1407     if ( !cf2_hintmap_isValid( &glyphpath->hintMap ) )
1408     {
1409       /* we are here iff first subpath is missing a moveto operator: */
1410       /* synthesize first moveTo to finish initialization of hintMap */
1411       cf2_glyphpath_moveTo( glyphpath,
1412                             glyphpath->start.x,
1413                             glyphpath->start.y );
1414     }
1415 
1416     cf2_glyphpath_hintPoint( glyphpath,
1417                              &glyphpath->hintMap,
1418                              &params.pt1,
1419                              start.x,
1420                              start.y );
1421 
1422     /* note: pt2 and pt3 are unused */
1423     glyphpath->callbacks->moveTo( glyphpath->callbacks, &params );
1424 
1425     glyphpath->currentDS    = params.pt1;
1426     glyphpath->offsetStart0 = start;
1427   }
1428 
1429 
1430   /*
1431    * All coordinates are in character space.
1432    * On input, (x1, y1) and (x2, y2) give line segment.
1433    * On output, (x, y) give offset vector.
1434    * We use a piecewise approximation to trig functions.
1435    *
1436    * TODO: Offset true perpendicular and proper length
1437    *       supply the y-translation for hinting here, too,
1438    *       that adds yOffset unconditionally to *y.
1439    */
1440   static void
cf2_glyphpath_computeOffset(CF2_GlyphPath glyphpath,CF2_Fixed x1,CF2_Fixed y1,CF2_Fixed x2,CF2_Fixed y2,CF2_Fixed * x,CF2_Fixed * y)1441   cf2_glyphpath_computeOffset( CF2_GlyphPath  glyphpath,
1442                                CF2_Fixed      x1,
1443                                CF2_Fixed      y1,
1444                                CF2_Fixed      x2,
1445                                CF2_Fixed      y2,
1446                                CF2_Fixed*     x,
1447                                CF2_Fixed*     y )
1448   {
1449     CF2_Fixed  dx = x2 - x1;
1450     CF2_Fixed  dy = y2 - y1;
1451 
1452 
1453     /* note: negative offsets don't work here; negate deltas to change */
1454     /* quadrants, below                                                */
1455     if ( glyphpath->font->reverseWinding )
1456     {
1457       dx = -dx;
1458       dy = -dy;
1459     }
1460 
1461     *x = *y = 0;
1462 
1463     if ( !glyphpath->darken )
1464         return;
1465 
1466     /* add momentum for this path element */
1467     glyphpath->callbacks->windingMomentum +=
1468       cf2_getWindingMomentum( x1, y1, x2, y2 );
1469 
1470     /* note: allow mixed integer and fixed multiplication here */
1471     if ( dx >= 0 )
1472     {
1473       if ( dy >= 0 )
1474       {
1475         /* first quadrant, +x +y */
1476 
1477         if ( dx > 2 * dy )
1478         {
1479           /* +x */
1480           *x = 0;
1481           *y = 0;
1482         }
1483         else if ( dy > 2 * dx )
1484         {
1485           /* +y */
1486           *x = glyphpath->xOffset;
1487           *y = glyphpath->yOffset;
1488         }
1489         else
1490         {
1491           /* +x +y */
1492           *x = FT_MulFix( cf2_floatToFixed( 0.7 ),
1493                           glyphpath->xOffset );
1494           *y = FT_MulFix( cf2_floatToFixed( 1.0 - 0.7 ),
1495                           glyphpath->yOffset );
1496         }
1497       }
1498       else
1499       {
1500         /* fourth quadrant, +x -y */
1501 
1502         if ( dx > -2 * dy )
1503         {
1504           /* +x */
1505           *x = 0;
1506           *y = 0;
1507         }
1508         else if ( -dy > 2 * dx )
1509         {
1510           /* -y */
1511           *x = -glyphpath->xOffset;
1512           *y = glyphpath->yOffset;
1513         }
1514         else
1515         {
1516           /* +x -y */
1517           *x = FT_MulFix( cf2_floatToFixed( -0.7 ),
1518                           glyphpath->xOffset );
1519           *y = FT_MulFix( cf2_floatToFixed( 1.0 - 0.7 ),
1520                           glyphpath->yOffset );
1521         }
1522       }
1523     }
1524     else
1525     {
1526       if ( dy >= 0 )
1527       {
1528         /* second quadrant, -x +y */
1529 
1530         if ( -dx > 2 * dy )
1531         {
1532           /* -x */
1533           *x = 0;
1534           *y = 2 * glyphpath->yOffset;
1535         }
1536         else if ( dy > -2 * dx )
1537         {
1538           /* +y */
1539           *x = glyphpath->xOffset;
1540           *y = glyphpath->yOffset;
1541         }
1542         else
1543         {
1544           /* -x +y */
1545           *x = FT_MulFix( cf2_floatToFixed( 0.7 ),
1546                           glyphpath->xOffset );
1547           *y = FT_MulFix( cf2_floatToFixed( 1.0 + 0.7 ),
1548                           glyphpath->yOffset );
1549         }
1550       }
1551       else
1552       {
1553         /* third quadrant, -x -y */
1554 
1555         if ( -dx > -2 * dy )
1556         {
1557           /* -x */
1558           *x = 0;
1559           *y = 2 * glyphpath->yOffset;
1560         }
1561         else if ( -dy > -2 * dx )
1562         {
1563           /* -y */
1564           *x = -glyphpath->xOffset;
1565           *y = glyphpath->yOffset;
1566         }
1567         else
1568         {
1569           /* -x -y */
1570           *x = FT_MulFix( cf2_floatToFixed( -0.7 ),
1571                           glyphpath->xOffset );
1572           *y = FT_MulFix( cf2_floatToFixed( 1.0 + 0.7 ),
1573                           glyphpath->yOffset );
1574         }
1575       }
1576     }
1577   }
1578 
1579 
1580   /*
1581    * The functions cf2_glyphpath_{moveTo,lineTo,curveTo,closeOpenPath} are
1582    * called by the interpreter with Character Space (CS) coordinates.  Each
1583    * path element is placed into a queue of length one to await the
1584    * calculation of the following element.  At that time, the darkening
1585    * offset of the following element is known and joins can be computed,
1586    * including possible modification of this element, before mapping to
1587    * Device Space (DS) and passing it on to the outline consumer.
1588    *
1589    */
1590   FT_LOCAL_DEF( void )
cf2_glyphpath_moveTo(CF2_GlyphPath glyphpath,CF2_Fixed x,CF2_Fixed y)1591   cf2_glyphpath_moveTo( CF2_GlyphPath  glyphpath,
1592                         CF2_Fixed      x,
1593                         CF2_Fixed      y )
1594   {
1595     cf2_glyphpath_closeOpenPath( glyphpath );
1596 
1597     /* save the parameters of the move for later, when we'll know how to */
1598     /* offset it;                                                        */
1599     /* also save last move point */
1600     glyphpath->currentCS.x = glyphpath->start.x = x;
1601     glyphpath->currentCS.y = glyphpath->start.y = y;
1602 
1603     glyphpath->moveIsPending = TRUE;
1604 
1605     /* ensure we have a valid map with current mask */
1606     if ( !cf2_hintmap_isValid( &glyphpath->hintMap ) ||
1607          cf2_hintmask_isNew( glyphpath->hintMask )   )
1608       cf2_hintmap_build( &glyphpath->hintMap,
1609                          glyphpath->hStemHintArray,
1610                          glyphpath->vStemHintArray,
1611                          glyphpath->hintMask,
1612                          glyphpath->hintOriginY,
1613                          FALSE );
1614 
1615     /* save a copy of current HintMap to use when drawing initial point */
1616     glyphpath->firstHintMap = glyphpath->hintMap;     /* structure copy */
1617   }
1618 
1619 
1620   FT_LOCAL_DEF( void )
cf2_glyphpath_lineTo(CF2_GlyphPath glyphpath,CF2_Fixed x,CF2_Fixed y)1621   cf2_glyphpath_lineTo( CF2_GlyphPath  glyphpath,
1622                         CF2_Fixed      x,
1623                         CF2_Fixed      y )
1624   {
1625     CF2_Fixed  xOffset, yOffset;
1626     FT_Vector  P0, P1;
1627     FT_Bool    newHintMap;
1628 
1629     /*
1630      * New hints will be applied after cf2_glyphpath_pushPrevElem has run.
1631      * In case this is a synthesized closing line, any new hints should be
1632      * delayed until this path is closed (`cf2_hintmask_isNew' will be
1633      * called again before the next line or curve).
1634      */
1635 
1636     /* true if new hint map not on close */
1637     newHintMap = cf2_hintmask_isNew( glyphpath->hintMask ) &&
1638                  !glyphpath->pathIsClosing;
1639 
1640     /*
1641      * Zero-length lines may occur in the charstring.  Because we cannot
1642      * compute darkening offsets or intersections from zero-length lines,
1643      * it is best to remove them and avoid artifacts.  However, zero-length
1644      * lines in CS at the start of a new hint map can generate non-zero
1645      * lines in DS due to hint substitution.  We detect a change in hint
1646      * map here and pass those zero-length lines along.
1647      */
1648 
1649     /*
1650      * Note: Find explicitly closed paths here with a conditional
1651      *       breakpoint using
1652      *
1653      *         !gp->pathIsClosing && gp->start.x == x && gp->start.y == y
1654      *
1655      */
1656 
1657     if ( glyphpath->currentCS.x == x &&
1658          glyphpath->currentCS.y == y &&
1659          !newHintMap                 )
1660       /*
1661        * Ignore zero-length lines in CS where the hint map is the same
1662        * because the line in DS will also be zero length.
1663        *
1664        * Ignore zero-length lines when we synthesize a closing line because
1665        * the close will be handled in cf2_glyphPath_pushPrevElem.
1666        */
1667       return;
1668 
1669     cf2_glyphpath_computeOffset( glyphpath,
1670                                  glyphpath->currentCS.x,
1671                                  glyphpath->currentCS.y,
1672                                  x,
1673                                  y,
1674                                  &xOffset,
1675                                  &yOffset );
1676 
1677     /* construct offset points */
1678     P0.x = glyphpath->currentCS.x + xOffset;
1679     P0.y = glyphpath->currentCS.y + yOffset;
1680     P1.x = x + xOffset;
1681     P1.y = y + yOffset;
1682 
1683     if ( glyphpath->moveIsPending )
1684     {
1685       /* emit offset 1st point as MoveTo */
1686       cf2_glyphpath_pushMove( glyphpath, P0 );
1687 
1688       glyphpath->moveIsPending = FALSE;  /* adjust state machine */
1689       glyphpath->pathIsOpen    = TRUE;
1690 
1691       glyphpath->offsetStart1 = P1;              /* record second point */
1692     }
1693 
1694     if ( glyphpath->elemIsQueued )
1695     {
1696       FT_ASSERT( cf2_hintmap_isValid( &glyphpath->hintMap ) ||
1697                  glyphpath->hintMap.count == 0              );
1698 
1699       cf2_glyphpath_pushPrevElem( glyphpath,
1700                                   &glyphpath->hintMap,
1701                                   &P0,
1702                                   P1,
1703                                   FALSE );
1704     }
1705 
1706     /* queue the current element with offset points */
1707     glyphpath->elemIsQueued = TRUE;
1708     glyphpath->prevElemOp   = CF2_PathOpLineTo;
1709     glyphpath->prevElemP0   = P0;
1710     glyphpath->prevElemP1   = P1;
1711 
1712     /* update current map */
1713     if ( newHintMap )
1714       cf2_hintmap_build( &glyphpath->hintMap,
1715                          glyphpath->hStemHintArray,
1716                          glyphpath->vStemHintArray,
1717                          glyphpath->hintMask,
1718                          glyphpath->hintOriginY,
1719                          FALSE );
1720 
1721     glyphpath->currentCS.x = x;     /* pre-offset current point */
1722     glyphpath->currentCS.y = y;
1723   }
1724 
1725 
1726   FT_LOCAL_DEF( void )
cf2_glyphpath_curveTo(CF2_GlyphPath glyphpath,CF2_Fixed x1,CF2_Fixed y1,CF2_Fixed x2,CF2_Fixed y2,CF2_Fixed x3,CF2_Fixed y3)1727   cf2_glyphpath_curveTo( CF2_GlyphPath  glyphpath,
1728                          CF2_Fixed      x1,
1729                          CF2_Fixed      y1,
1730                          CF2_Fixed      x2,
1731                          CF2_Fixed      y2,
1732                          CF2_Fixed      x3,
1733                          CF2_Fixed      y3 )
1734   {
1735     CF2_Fixed  xOffset1, yOffset1, xOffset3, yOffset3;
1736     FT_Vector  P0, P1, P2, P3;
1737 
1738 
1739     /* TODO: ignore zero length portions of curve?? */
1740     cf2_glyphpath_computeOffset( glyphpath,
1741                                  glyphpath->currentCS.x,
1742                                  glyphpath->currentCS.y,
1743                                  x1,
1744                                  y1,
1745                                  &xOffset1,
1746                                  &yOffset1 );
1747     cf2_glyphpath_computeOffset( glyphpath,
1748                                  x2,
1749                                  y2,
1750                                  x3,
1751                                  y3,
1752                                  &xOffset3,
1753                                  &yOffset3 );
1754 
1755     /* add momentum from the middle segment */
1756     glyphpath->callbacks->windingMomentum +=
1757       cf2_getWindingMomentum( x1, y1, x2, y2 );
1758 
1759     /* construct offset points */
1760     P0.x = glyphpath->currentCS.x + xOffset1;
1761     P0.y = glyphpath->currentCS.y + yOffset1;
1762     P1.x = x1 + xOffset1;
1763     P1.y = y1 + yOffset1;
1764     /* note: preserve angle of final segment by using offset3 at both ends */
1765     P2.x = x2 + xOffset3;
1766     P2.y = y2 + yOffset3;
1767     P3.x = x3 + xOffset3;
1768     P3.y = y3 + yOffset3;
1769 
1770     if ( glyphpath->moveIsPending )
1771     {
1772       /* emit offset 1st point as MoveTo */
1773       cf2_glyphpath_pushMove( glyphpath, P0 );
1774 
1775       glyphpath->moveIsPending = FALSE;
1776       glyphpath->pathIsOpen    = TRUE;
1777 
1778       glyphpath->offsetStart1 = P1;              /* record second point */
1779     }
1780 
1781     if ( glyphpath->elemIsQueued )
1782     {
1783       FT_ASSERT( cf2_hintmap_isValid( &glyphpath->hintMap ) ||
1784                  glyphpath->hintMap.count == 0              );
1785 
1786       cf2_glyphpath_pushPrevElem( glyphpath,
1787                                   &glyphpath->hintMap,
1788                                   &P0,
1789                                   P1,
1790                                   FALSE );
1791     }
1792 
1793     /* queue the current element with offset points */
1794     glyphpath->elemIsQueued = TRUE;
1795     glyphpath->prevElemOp   = CF2_PathOpCubeTo;
1796     glyphpath->prevElemP0   = P0;
1797     glyphpath->prevElemP1   = P1;
1798     glyphpath->prevElemP2   = P2;
1799     glyphpath->prevElemP3   = P3;
1800 
1801     /* update current map */
1802     if ( cf2_hintmask_isNew( glyphpath->hintMask ) )
1803       cf2_hintmap_build( &glyphpath->hintMap,
1804                          glyphpath->hStemHintArray,
1805                          glyphpath->vStemHintArray,
1806                          glyphpath->hintMask,
1807                          glyphpath->hintOriginY,
1808                          FALSE );
1809 
1810     glyphpath->currentCS.x = x3;       /* pre-offset current point */
1811     glyphpath->currentCS.y = y3;
1812   }
1813 
1814 
1815   FT_LOCAL_DEF( void )
cf2_glyphpath_closeOpenPath(CF2_GlyphPath glyphpath)1816   cf2_glyphpath_closeOpenPath( CF2_GlyphPath  glyphpath )
1817   {
1818     if ( glyphpath->pathIsOpen )
1819     {
1820       /*
1821        * A closing line in Character Space line is always generated below
1822        * with `cf2_glyphPath_lineTo'.  It may be ignored later if it turns
1823        * out to be zero length in Device Space.
1824        */
1825       glyphpath->pathIsClosing = TRUE;
1826 
1827       cf2_glyphpath_lineTo( glyphpath,
1828                             glyphpath->start.x,
1829                             glyphpath->start.y );
1830 
1831       /* empty the final element from the queue and close the path */
1832       if ( glyphpath->elemIsQueued )
1833         cf2_glyphpath_pushPrevElem( glyphpath,
1834                                     &glyphpath->hintMap,
1835                                     &glyphpath->offsetStart0,
1836                                     glyphpath->offsetStart1,
1837                                     TRUE );
1838 
1839       /* reset state machine */
1840       glyphpath->moveIsPending = TRUE;
1841       glyphpath->pathIsOpen    = FALSE;
1842       glyphpath->pathIsClosing = FALSE;
1843       glyphpath->elemIsQueued  = FALSE;
1844     }
1845   }
1846 
1847 
1848 /* END */
1849