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      1 /***************************************************************************/
      2 /*                                                                         */
      3 /*  aflatin.c                                                              */
      4 /*                                                                         */
      5 /*    Auto-fitter hinting routines for latin writing system (body).        */
      6 /*                                                                         */
      7 /*  Copyright 2003-2015 by                                                 */
      8 /*  David Turner, Robert Wilhelm, and Werner Lemberg.                      */
      9 /*                                                                         */
     10 /*  This file is part of the FreeType project, and may only be used,       */
     11 /*  modified, and distributed under the terms of the FreeType project      */
     12 /*  license, LICENSE.TXT.  By continuing to use, modify, or distribute     */
     13 /*  this file you indicate that you have read the license and              */
     14 /*  understand and accept it fully.                                        */
     15 /*                                                                         */
     16 /***************************************************************************/
     17 
     18 
     19 #include <ft2build.h>
     20 #include FT_ADVANCES_H
     21 #include FT_INTERNAL_DEBUG_H
     22 
     23 #include "afglobal.h"
     24 #include "afpic.h"
     25 #include "aflatin.h"
     26 #include "aferrors.h"
     27 
     28 
     29 #ifdef AF_CONFIG_OPTION_USE_WARPER
     30 #include "afwarp.h"
     31 #endif
     32 
     33 
     34   /*************************************************************************/
     35   /*                                                                       */
     36   /* The macro FT_COMPONENT is used in trace mode.  It is an implicit      */
     37   /* parameter of the FT_TRACE() and FT_ERROR() macros, used to print/log  */
     38   /* messages during execution.                                            */
     39   /*                                                                       */
     40 #undef  FT_COMPONENT
     41 #define FT_COMPONENT  trace_aflatin
     42 
     43 
     44   /*************************************************************************/
     45   /*************************************************************************/
     46   /*****                                                               *****/
     47   /*****            L A T I N   G L O B A L   M E T R I C S            *****/
     48   /*****                                                               *****/
     49   /*************************************************************************/
     50   /*************************************************************************/
     51 
     52 
     53   /* Find segments and links, compute all stem widths, and initialize */
     54   /* standard width and height for the glyph with given charcode.     */
     55 
     56   FT_LOCAL_DEF( void )
     57   af_latin_metrics_init_widths( AF_LatinMetrics  metrics,
     58                                 FT_Face          face )
     59   {
     60     /* scan the array of segments in each direction */
     61     AF_GlyphHintsRec  hints[1];
     62 
     63 
     64     FT_TRACE5(( "\n"
     65                 "latin standard widths computation (style `%s')\n"
     66                 "=====================================================\n"
     67                 "\n",
     68                 af_style_names[metrics->root.style_class->style] ));
     69 
     70     af_glyph_hints_init( hints, face->memory );
     71 
     72     metrics->axis[AF_DIMENSION_HORZ].width_count = 0;
     73     metrics->axis[AF_DIMENSION_VERT].width_count = 0;
     74 
     75     {
     76       FT_Error            error;
     77       FT_ULong            glyph_index;
     78       FT_Long             y_offset;
     79       int                 dim;
     80       AF_LatinMetricsRec  dummy[1];
     81       AF_Scaler           scaler = &dummy->root.scaler;
     82 
     83 #ifdef FT_CONFIG_OPTION_PIC
     84       AF_FaceGlobals  globals = metrics->root.globals;
     85 #endif
     86 
     87       AF_StyleClass   style_class  = metrics->root.style_class;
     88       AF_ScriptClass  script_class = AF_SCRIPT_CLASSES_GET
     89                                        [style_class->script];
     90 
     91       FT_UInt32  standard_char;
     92 
     93 
     94       /*
     95        * We check more than a single standard character to catch features
     96        * like `c2sc' (small caps from caps) that don't contain lowercase
     97        * letters by definition, or other features that mainly operate on
     98        * numerals.
     99        */
    100 
    101       standard_char = script_class->standard_char1;
    102       af_get_char_index( &metrics->root,
    103                          standard_char,
    104                          &glyph_index,
    105                          &y_offset );
    106       if ( !glyph_index )
    107       {
    108         if ( script_class->standard_char2 )
    109         {
    110           standard_char = script_class->standard_char2;
    111           af_get_char_index( &metrics->root,
    112                              standard_char,
    113                              &glyph_index,
    114                              &y_offset );
    115           if ( !glyph_index )
    116           {
    117             if ( script_class->standard_char3 )
    118             {
    119               standard_char = script_class->standard_char3;
    120               af_get_char_index( &metrics->root,
    121                                  standard_char,
    122                                  &glyph_index,
    123                                  &y_offset );
    124               if ( !glyph_index )
    125                 goto Exit;
    126             }
    127             else
    128               goto Exit;
    129           }
    130         }
    131         else
    132           goto Exit;
    133       }
    134 
    135       FT_TRACE5(( "standard character: U+%04lX (glyph index %d)\n",
    136                   standard_char, glyph_index ));
    137 
    138       error = FT_Load_Glyph( face, glyph_index, FT_LOAD_NO_SCALE );
    139       if ( error || face->glyph->outline.n_points <= 0 )
    140         goto Exit;
    141 
    142       FT_ZERO( dummy );
    143 
    144       dummy->units_per_em = metrics->units_per_em;
    145 
    146       scaler->x_scale = 0x10000L;
    147       scaler->y_scale = 0x10000L;
    148       scaler->x_delta = 0;
    149       scaler->y_delta = 0;
    150 
    151       scaler->face        = face;
    152       scaler->render_mode = FT_RENDER_MODE_NORMAL;
    153       scaler->flags       = 0;
    154 
    155       af_glyph_hints_rescale( hints, (AF_StyleMetrics)dummy );
    156 
    157       error = af_glyph_hints_reload( hints, &face->glyph->outline );
    158       if ( error )
    159         goto Exit;
    160 
    161       for ( dim = 0; dim < AF_DIMENSION_MAX; dim++ )
    162       {
    163         AF_LatinAxis  axis    = &metrics->axis[dim];
    164         AF_AxisHints  axhints = &hints->axis[dim];
    165         AF_Segment    seg, limit, link;
    166         FT_UInt       num_widths = 0;
    167 
    168 
    169         error = af_latin_hints_compute_segments( hints,
    170                                                  (AF_Dimension)dim );
    171         if ( error )
    172           goto Exit;
    173 
    174         /*
    175          *  We assume that the glyphs selected for the stem width
    176          *  computation are `featureless' enough so that the linking
    177          *  algorithm works fine without adjustments of its scoring
    178          *  function.
    179          */
    180         af_latin_hints_link_segments( hints,
    181                                       0,
    182                                       NULL,
    183                                       (AF_Dimension)dim );
    184 
    185         seg   = axhints->segments;
    186         limit = seg + axhints->num_segments;
    187 
    188         for ( ; seg < limit; seg++ )
    189         {
    190           link = seg->link;
    191 
    192           /* we only consider stem segments there! */
    193           if ( link && link->link == seg && link > seg )
    194           {
    195             FT_Pos  dist;
    196 
    197 
    198             dist = seg->pos - link->pos;
    199             if ( dist < 0 )
    200               dist = -dist;
    201 
    202             if ( num_widths < AF_LATIN_MAX_WIDTHS )
    203               axis->widths[num_widths++].org = dist;
    204           }
    205         }
    206 
    207         /* this also replaces multiple almost identical stem widths */
    208         /* with a single one (the value 100 is heuristic)           */
    209         af_sort_and_quantize_widths( &num_widths, axis->widths,
    210                                      dummy->units_per_em / 100 );
    211         axis->width_count = num_widths;
    212       }
    213 
    214     Exit:
    215       for ( dim = 0; dim < AF_DIMENSION_MAX; dim++ )
    216       {
    217         AF_LatinAxis  axis = &metrics->axis[dim];
    218         FT_Pos        stdw;
    219 
    220 
    221         stdw = ( axis->width_count > 0 ) ? axis->widths[0].org
    222                                          : AF_LATIN_CONSTANT( metrics, 50 );
    223 
    224         /* let's try 20% of the smallest width */
    225         axis->edge_distance_threshold = stdw / 5;
    226         axis->standard_width          = stdw;
    227         axis->extra_light             = 0;
    228 
    229 #ifdef FT_DEBUG_LEVEL_TRACE
    230         {
    231           FT_UInt  i;
    232 
    233 
    234           FT_TRACE5(( "%s widths:\n",
    235                       dim == AF_DIMENSION_VERT ? "horizontal"
    236                                                : "vertical" ));
    237 
    238           FT_TRACE5(( "  %d (standard)", axis->standard_width ));
    239           for ( i = 1; i < axis->width_count; i++ )
    240             FT_TRACE5(( " %d", axis->widths[i].org ));
    241 
    242           FT_TRACE5(( "\n" ));
    243         }
    244 #endif
    245       }
    246     }
    247 
    248     FT_TRACE5(( "\n" ));
    249 
    250     af_glyph_hints_done( hints );
    251   }
    252 
    253 
    254   /* Find all blue zones.  Flat segments give the reference points, */
    255   /* round segments the overshoot positions.                        */
    256 
    257   static void
    258   af_latin_metrics_init_blues( AF_LatinMetrics  metrics,
    259                                FT_Face          face )
    260   {
    261     FT_Pos        flats [AF_BLUE_STRING_MAX_LEN];
    262     FT_Pos        rounds[AF_BLUE_STRING_MAX_LEN];
    263 
    264     FT_UInt       num_flats;
    265     FT_UInt       num_rounds;
    266 
    267     AF_LatinBlue  blue;
    268     FT_Error      error;
    269     AF_LatinAxis  axis = &metrics->axis[AF_DIMENSION_VERT];
    270     FT_Outline    outline;
    271 
    272     AF_StyleClass  sc = metrics->root.style_class;
    273 
    274     AF_Blue_Stringset         bss = sc->blue_stringset;
    275     const AF_Blue_StringRec*  bs  = &af_blue_stringsets[bss];
    276 
    277 
    278     /* we walk over the blue character strings as specified in the */
    279     /* style's entry in the `af_blue_stringset' array              */
    280 
    281     FT_TRACE5(( "latin blue zones computation\n"
    282                 "============================\n"
    283                 "\n" ));
    284 
    285     for ( ; bs->string != AF_BLUE_STRING_MAX; bs++ )
    286     {
    287       const char*  p = &af_blue_strings[bs->string];
    288       FT_Pos*      blue_ref;
    289       FT_Pos*      blue_shoot;
    290 
    291 
    292 #ifdef FT_DEBUG_LEVEL_TRACE
    293       {
    294         FT_Bool  have_flag = 0;
    295 
    296 
    297         FT_TRACE5(( "blue zone %d", axis->blue_count ));
    298 
    299         if ( bs->properties )
    300         {
    301           FT_TRACE5(( " (" ));
    302 
    303           if ( AF_LATIN_IS_TOP_BLUE( bs ) )
    304           {
    305             FT_TRACE5(( "top" ));
    306             have_flag = 1;
    307           }
    308 
    309           if ( AF_LATIN_IS_NEUTRAL_BLUE( bs ) )
    310           {
    311             if ( have_flag )
    312               FT_TRACE5(( ", " ));
    313             FT_TRACE5(( "neutral" ));
    314             have_flag = 1;
    315           }
    316 
    317           if ( AF_LATIN_IS_X_HEIGHT_BLUE( bs ) )
    318           {
    319             if ( have_flag )
    320               FT_TRACE5(( ", " ));
    321             FT_TRACE5(( "small top" ));
    322             have_flag = 1;
    323           }
    324 
    325           if ( AF_LATIN_IS_LONG_BLUE( bs ) )
    326           {
    327             if ( have_flag )
    328               FT_TRACE5(( ", " ));
    329             FT_TRACE5(( "long" ));
    330           }
    331 
    332           FT_TRACE5(( ")" ));
    333         }
    334 
    335         FT_TRACE5(( ":\n" ));
    336       }
    337 #endif /* FT_DEBUG_LEVEL_TRACE */
    338 
    339       num_flats  = 0;
    340       num_rounds = 0;
    341 
    342       while ( *p )
    343       {
    344         FT_ULong    ch;
    345         FT_ULong    glyph_index;
    346         FT_Long     y_offset;
    347         FT_Pos      best_y;                            /* same as points.y */
    348         FT_Int      best_point, best_contour_first, best_contour_last;
    349         FT_Vector*  points;
    350         FT_Bool     round = 0;
    351 
    352 
    353         GET_UTF8_CHAR( ch, p );
    354 
    355         /* load the character in the face -- skip unknown or empty ones */
    356         af_get_char_index( &metrics->root, ch, &glyph_index, &y_offset );
    357         if ( glyph_index == 0 )
    358         {
    359           FT_TRACE5(( "  U+%04lX unavailable\n", ch ));
    360           continue;
    361         }
    362 
    363         error   = FT_Load_Glyph( face, glyph_index, FT_LOAD_NO_SCALE );
    364         outline = face->glyph->outline;
    365         /* reject glyphs that don't produce any rendering */
    366         if ( error || outline.n_points <= 2 )
    367         {
    368           FT_TRACE5(( "  U+%04lX contains no (usable) outlines\n", ch ));
    369           continue;
    370         }
    371 
    372         /* now compute min or max point indices and coordinates */
    373         points             = outline.points;
    374         best_point         = -1;
    375         best_y             = 0;  /* make compiler happy */
    376         best_contour_first = 0;  /* ditto */
    377         best_contour_last  = 0;  /* ditto */
    378 
    379         {
    380           FT_Int  nn;
    381           FT_Int  first = 0;
    382           FT_Int  last  = -1;
    383 
    384 
    385           for ( nn = 0; nn < outline.n_contours; first = last + 1, nn++ )
    386           {
    387             FT_Int  old_best_point = best_point;
    388             FT_Int  pp;
    389 
    390 
    391             last = outline.contours[nn];
    392 
    393             /* Avoid single-point contours since they are never rasterized. */
    394             /* In some fonts, they correspond to mark attachment points     */
    395             /* that are way outside of the glyph's real outline.            */
    396             if ( last <= first )
    397               continue;
    398 
    399             if ( AF_LATIN_IS_TOP_BLUE( bs ) )
    400             {
    401               for ( pp = first; pp <= last; pp++ )
    402                 if ( best_point < 0 || points[pp].y > best_y )
    403                 {
    404                   best_point = pp;
    405                   best_y     = points[pp].y;
    406                 }
    407             }
    408             else
    409             {
    410               for ( pp = first; pp <= last; pp++ )
    411                 if ( best_point < 0 || points[pp].y < best_y )
    412                 {
    413                   best_point = pp;
    414                   best_y     = points[pp].y;
    415                 }
    416             }
    417 
    418             if ( best_point != old_best_point )
    419             {
    420               best_contour_first = first;
    421               best_contour_last  = last;
    422             }
    423           }
    424         }
    425 
    426         /* now check whether the point belongs to a straight or round   */
    427         /* segment; we first need to find in which contour the extremum */
    428         /* lies, then inspect its previous and next points              */
    429         if ( best_point >= 0 )
    430         {
    431           FT_Pos  best_x = points[best_point].x;
    432           FT_Int  prev, next;
    433           FT_Int  best_segment_first, best_segment_last;
    434           FT_Int  best_on_point_first, best_on_point_last;
    435           FT_Pos  dist;
    436 
    437 
    438           best_segment_first = best_point;
    439           best_segment_last  = best_point;
    440 
    441           if ( FT_CURVE_TAG( outline.tags[best_point] ) == FT_CURVE_TAG_ON )
    442           {
    443             best_on_point_first = best_point;
    444             best_on_point_last  = best_point;
    445           }
    446           else
    447           {
    448             best_on_point_first = -1;
    449             best_on_point_last  = -1;
    450           }
    451 
    452           /* look for the previous and next points on the contour  */
    453           /* that are not on the same Y coordinate, then threshold */
    454           /* the `closeness'...                                    */
    455           prev = best_point;
    456           next = prev;
    457 
    458           do
    459           {
    460             if ( prev > best_contour_first )
    461               prev--;
    462             else
    463               prev = best_contour_last;
    464 
    465             dist = FT_ABS( points[prev].y - best_y );
    466             /* accept a small distance or a small angle (both values are */
    467             /* heuristic; value 20 corresponds to approx. 2.9 degrees)   */
    468             if ( dist > 5 )
    469               if ( FT_ABS( points[prev].x - best_x ) <= 20 * dist )
    470                 break;
    471 
    472             best_segment_first = prev;
    473 
    474             if ( FT_CURVE_TAG( outline.tags[prev] ) == FT_CURVE_TAG_ON )
    475             {
    476               best_on_point_first = prev;
    477               if ( best_on_point_last < 0 )
    478                 best_on_point_last = prev;
    479             }
    480 
    481           } while ( prev != best_point );
    482 
    483           do
    484           {
    485             if ( next < best_contour_last )
    486               next++;
    487             else
    488               next = best_contour_first;
    489 
    490             dist = FT_ABS( points[next].y - best_y );
    491             if ( dist > 5 )
    492               if ( FT_ABS( points[next].x - best_x ) <= 20 * dist )
    493                 break;
    494 
    495             best_segment_last = next;
    496 
    497             if ( FT_CURVE_TAG( outline.tags[next] ) == FT_CURVE_TAG_ON )
    498             {
    499               best_on_point_last = next;
    500               if ( best_on_point_first < 0 )
    501                 best_on_point_first = next;
    502             }
    503 
    504           } while ( next != best_point );
    505 
    506           if ( AF_LATIN_IS_LONG_BLUE( bs ) )
    507           {
    508             /* If this flag is set, we have an additional constraint to  */
    509             /* get the blue zone distance: Find a segment of the topmost */
    510             /* (or bottommost) contour that is longer than a heuristic   */
    511             /* threshold.  This ensures that small bumps in the outline  */
    512             /* are ignored (for example, the `vertical serifs' found in  */
    513             /* many Hebrew glyph designs).                               */
    514 
    515             /* If this segment is long enough, we are done.  Otherwise,  */
    516             /* search the segment next to the extremum that is long      */
    517             /* enough, has the same direction, and a not too large       */
    518             /* vertical distance from the extremum.  Note that the       */
    519             /* algorithm doesn't check whether the found segment is      */
    520             /* actually the one (vertically) nearest to the extremum.    */
    521 
    522             /* heuristic threshold value */
    523             FT_Pos  length_threshold = metrics->units_per_em / 25;
    524 
    525 
    526             dist = FT_ABS( points[best_segment_last].x -
    527                              points[best_segment_first].x );
    528 
    529             if ( dist < length_threshold                       &&
    530                  best_segment_last - best_segment_first + 2 <=
    531                    best_contour_last - best_contour_first      )
    532             {
    533               /* heuristic threshold value */
    534               FT_Pos  height_threshold = metrics->units_per_em / 4;
    535 
    536               FT_Int   first;
    537               FT_Int   last;
    538               FT_Bool  hit;
    539 
    540               /* we intentionally declare these two variables        */
    541               /* outside of the loop since various compilers emit    */
    542               /* incorrect warning messages otherwise, talking about */
    543               /* `possibly uninitialized variables'                  */
    544               FT_Int  p_first = 0;            /* make compiler happy */
    545               FT_Int  p_last  = 0;
    546 
    547               FT_Bool  left2right;
    548 
    549 
    550               /* compute direction */
    551               prev = best_point;
    552 
    553               do
    554               {
    555                 if ( prev > best_contour_first )
    556                   prev--;
    557                 else
    558                   prev = best_contour_last;
    559 
    560                 if ( points[prev].x != best_x )
    561                   break;
    562 
    563               } while ( prev != best_point );
    564 
    565               /* skip glyph for the degenerate case */
    566               if ( prev == best_point )
    567                 continue;
    568 
    569               left2right = FT_BOOL( points[prev].x < points[best_point].x );
    570 
    571               first = best_segment_last;
    572               last  = first;
    573               hit   = 0;
    574 
    575               do
    576               {
    577                 FT_Bool  l2r;
    578                 FT_Pos   d;
    579 
    580 
    581                 if ( !hit )
    582                 {
    583                   /* no hit; adjust first point */
    584                   first = last;
    585 
    586                   /* also adjust first and last on point */
    587                   if ( FT_CURVE_TAG( outline.tags[first] ) ==
    588                          FT_CURVE_TAG_ON )
    589                   {
    590                     p_first = first;
    591                     p_last  = first;
    592                   }
    593                   else
    594                   {
    595                     p_first = -1;
    596                     p_last  = -1;
    597                   }
    598 
    599                   hit = 1;
    600                 }
    601 
    602                 if ( last < best_contour_last )
    603                   last++;
    604                 else
    605                   last = best_contour_first;
    606 
    607                 if ( FT_ABS( best_y - points[first].y ) > height_threshold )
    608                 {
    609                   /* vertical distance too large */
    610                   hit = 0;
    611                   continue;
    612                 }
    613 
    614                 /* same test as above */
    615                 dist = FT_ABS( points[last].y - points[first].y );
    616                 if ( dist > 5 )
    617                   if ( FT_ABS( points[last].x - points[first].x ) <=
    618                          20 * dist )
    619                   {
    620                     hit = 0;
    621                     continue;
    622                   }
    623 
    624                 if ( FT_CURVE_TAG( outline.tags[last] ) == FT_CURVE_TAG_ON )
    625                 {
    626                   p_last = last;
    627                   if ( p_first < 0 )
    628                     p_first = last;
    629                 }
    630 
    631                 l2r = FT_BOOL( points[first].x < points[last].x );
    632                 d   = FT_ABS( points[last].x - points[first].x );
    633 
    634                 if ( l2r == left2right     &&
    635                      d >= length_threshold )
    636                 {
    637                   /* all constraints are met; update segment after finding */
    638                   /* its end                                               */
    639                   do
    640                   {
    641                     if ( last < best_contour_last )
    642                       last++;
    643                     else
    644                       last = best_contour_first;
    645 
    646                     d = FT_ABS( points[last].y - points[first].y );
    647                     if ( d > 5 )
    648                       if ( FT_ABS( points[next].x - points[first].x ) <=
    649                              20 * dist )
    650                       {
    651                         if ( last > best_contour_first )
    652                           last--;
    653                         else
    654                           last = best_contour_last;
    655                         break;
    656                       }
    657 
    658                     p_last = last;
    659 
    660                     if ( FT_CURVE_TAG( outline.tags[last] ) ==
    661                            FT_CURVE_TAG_ON )
    662                     {
    663                       p_last = last;
    664                       if ( p_first < 0 )
    665                         p_first = last;
    666                     }
    667 
    668                   } while ( last != best_segment_first );
    669 
    670                   best_y = points[first].y;
    671 
    672                   best_segment_first = first;
    673                   best_segment_last  = last;
    674 
    675                   best_on_point_first = p_first;
    676                   best_on_point_last  = p_last;
    677 
    678                   break;
    679                 }
    680 
    681               } while ( last != best_segment_first );
    682             }
    683           }
    684 
    685           /* for computing blue zones, we add the y offset as returned */
    686           /* by the currently used OpenType feature -- for example,    */
    687           /* superscript glyphs might be identical to subscript glyphs */
    688           /* with a vertical shift                                     */
    689           best_y += y_offset;
    690 
    691           FT_TRACE5(( "  U+%04lX: best_y = %5ld", ch, best_y ));
    692 
    693           /* now set the `round' flag depending on the segment's kind: */
    694           /*                                                           */
    695           /* - if the horizontal distance between the first and last   */
    696           /*   `on' point is larger than upem/8 (value 8 is heuristic) */
    697           /*   we have a flat segment                                  */
    698           /* - if either the first or the last point of the segment is */
    699           /*   an `off' point, the segment is round, otherwise it is   */
    700           /*   flat                                                    */
    701           if ( best_on_point_first >= 0                               &&
    702                best_on_point_last >= 0                                &&
    703                (FT_UInt)( FT_ABS( points[best_on_point_last].x -
    704                                   points[best_on_point_first].x ) ) >
    705                  metrics->units_per_em / 8                            )
    706             round = 0;
    707           else
    708             round = FT_BOOL(
    709                       FT_CURVE_TAG( outline.tags[best_segment_first] ) !=
    710                         FT_CURVE_TAG_ON                                   ||
    711                       FT_CURVE_TAG( outline.tags[best_segment_last]  ) !=
    712                         FT_CURVE_TAG_ON                                   );
    713 
    714           if ( round && AF_LATIN_IS_NEUTRAL_BLUE( bs ) )
    715           {
    716             /* only use flat segments for a neutral blue zone */
    717             FT_TRACE5(( " (round, skipped)\n" ));
    718             continue;
    719           }
    720 
    721           FT_TRACE5(( " (%s)\n", round ? "round" : "flat" ));
    722         }
    723 
    724         if ( round )
    725           rounds[num_rounds++] = best_y;
    726         else
    727           flats[num_flats++]   = best_y;
    728       }
    729 
    730       if ( num_flats == 0 && num_rounds == 0 )
    731       {
    732         /*
    733          *  we couldn't find a single glyph to compute this blue zone,
    734          *  we will simply ignore it then
    735          */
    736         FT_TRACE5(( "  empty\n" ));
    737         continue;
    738       }
    739 
    740       /* we have computed the contents of the `rounds' and `flats' tables, */
    741       /* now determine the reference and overshoot position of the blue -- */
    742       /* we simply take the median value after a simple sort               */
    743       af_sort_pos( num_rounds, rounds );
    744       af_sort_pos( num_flats,  flats );
    745 
    746       blue       = &axis->blues[axis->blue_count];
    747       blue_ref   = &blue->ref.org;
    748       blue_shoot = &blue->shoot.org;
    749 
    750       axis->blue_count++;
    751 
    752       if ( num_flats == 0 )
    753       {
    754         *blue_ref   =
    755         *blue_shoot = rounds[num_rounds / 2];
    756       }
    757       else if ( num_rounds == 0 )
    758       {
    759         *blue_ref   =
    760         *blue_shoot = flats[num_flats / 2];
    761       }
    762       else
    763       {
    764         *blue_ref   = flats [num_flats  / 2];
    765         *blue_shoot = rounds[num_rounds / 2];
    766       }
    767 
    768       /* there are sometimes problems: if the overshoot position of top     */
    769       /* zones is under its reference position, or the opposite for bottom  */
    770       /* zones.  We must thus check everything there and correct the errors */
    771       if ( *blue_shoot != *blue_ref )
    772       {
    773         FT_Pos   ref      = *blue_ref;
    774         FT_Pos   shoot    = *blue_shoot;
    775         FT_Bool  over_ref = FT_BOOL( shoot > ref );
    776 
    777 
    778         if ( AF_LATIN_IS_TOP_BLUE( bs ) ^ over_ref )
    779         {
    780           *blue_ref   =
    781           *blue_shoot = ( shoot + ref ) / 2;
    782 
    783           FT_TRACE5(( "  [overshoot smaller than reference,"
    784                       " taking mean value]\n" ));
    785         }
    786       }
    787 
    788       blue->flags = 0;
    789       if ( AF_LATIN_IS_TOP_BLUE( bs ) )
    790         blue->flags |= AF_LATIN_BLUE_TOP;
    791       if ( AF_LATIN_IS_NEUTRAL_BLUE( bs ) )
    792         blue->flags |= AF_LATIN_BLUE_NEUTRAL;
    793 
    794       /*
    795        * The following flag is used later to adjust the y and x scales
    796        * in order to optimize the pixel grid alignment of the top of small
    797        * letters.
    798        */
    799       if ( AF_LATIN_IS_X_HEIGHT_BLUE( bs ) )
    800         blue->flags |= AF_LATIN_BLUE_ADJUSTMENT;
    801 
    802       FT_TRACE5(( "    -> reference = %ld\n"
    803                   "       overshoot = %ld\n",
    804                   *blue_ref, *blue_shoot ));
    805     }
    806 
    807     FT_TRACE5(( "\n" ));
    808 
    809     return;
    810   }
    811 
    812 
    813   /* Check whether all ASCII digits have the same advance width. */
    814 
    815   FT_LOCAL_DEF( void )
    816   af_latin_metrics_check_digits( AF_LatinMetrics  metrics,
    817                                  FT_Face          face )
    818   {
    819     FT_UInt   i;
    820     FT_Bool   started = 0, same_width = 1;
    821     FT_Fixed  advance, old_advance = 0;
    822 
    823 
    824     /* digit `0' is 0x30 in all supported charmaps */
    825     for ( i = 0x30; i <= 0x39; i++ )
    826     {
    827       FT_ULong  glyph_index;
    828       FT_Long   y_offset;
    829 
    830 
    831       af_get_char_index( &metrics->root, i, &glyph_index, &y_offset );
    832       if ( glyph_index == 0 )
    833         continue;
    834 
    835       if ( FT_Get_Advance( face, glyph_index,
    836                            FT_LOAD_NO_SCALE         |
    837                            FT_LOAD_NO_HINTING       |
    838                            FT_LOAD_IGNORE_TRANSFORM,
    839                            &advance ) )
    840         continue;
    841 
    842       if ( started )
    843       {
    844         if ( advance != old_advance )
    845         {
    846           same_width = 0;
    847           break;
    848         }
    849       }
    850       else
    851       {
    852         old_advance = advance;
    853         started     = 1;
    854       }
    855     }
    856 
    857     metrics->root.digits_have_same_width = same_width;
    858   }
    859 
    860 
    861   /* Initialize global metrics. */
    862 
    863   FT_LOCAL_DEF( FT_Error )
    864   af_latin_metrics_init( AF_LatinMetrics  metrics,
    865                          FT_Face          face )
    866   {
    867     FT_CharMap  oldmap = face->charmap;
    868 
    869 
    870     metrics->units_per_em = face->units_per_EM;
    871 
    872     if ( !FT_Select_Charmap( face, FT_ENCODING_UNICODE ) )
    873     {
    874       af_latin_metrics_init_widths( metrics, face );
    875       af_latin_metrics_init_blues( metrics, face );
    876       af_latin_metrics_check_digits( metrics, face );
    877     }
    878 
    879     FT_Set_Charmap( face, oldmap );
    880     return FT_Err_Ok;
    881   }
    882 
    883 
    884   /* Adjust scaling value, then scale and shift widths   */
    885   /* and blue zones (if applicable) for given dimension. */
    886 
    887   static void
    888   af_latin_metrics_scale_dim( AF_LatinMetrics  metrics,
    889                               AF_Scaler        scaler,
    890                               AF_Dimension     dim )
    891   {
    892     FT_Fixed      scale;
    893     FT_Pos        delta;
    894     AF_LatinAxis  axis;
    895     FT_UInt       nn;
    896 
    897 
    898     if ( dim == AF_DIMENSION_HORZ )
    899     {
    900       scale = scaler->x_scale;
    901       delta = scaler->x_delta;
    902     }
    903     else
    904     {
    905       scale = scaler->y_scale;
    906       delta = scaler->y_delta;
    907     }
    908 
    909     axis = &metrics->axis[dim];
    910 
    911     if ( axis->org_scale == scale && axis->org_delta == delta )
    912       return;
    913 
    914     axis->org_scale = scale;
    915     axis->org_delta = delta;
    916 
    917     /*
    918      * correct X and Y scale to optimize the alignment of the top of small
    919      * letters to the pixel grid
    920      */
    921     {
    922       AF_LatinAxis  Axis = &metrics->axis[AF_DIMENSION_VERT];
    923       AF_LatinBlue  blue = NULL;
    924 
    925 
    926       for ( nn = 0; nn < Axis->blue_count; nn++ )
    927       {
    928         if ( Axis->blues[nn].flags & AF_LATIN_BLUE_ADJUSTMENT )
    929         {
    930           blue = &Axis->blues[nn];
    931           break;
    932         }
    933       }
    934 
    935       if ( blue )
    936       {
    937         FT_Pos   scaled;
    938         FT_Pos   threshold;
    939         FT_Pos   fitted;
    940         FT_UInt  limit;
    941         FT_UInt  ppem;
    942 
    943 
    944         scaled    = FT_MulFix( blue->shoot.org, scaler->y_scale );
    945         ppem      = metrics->root.scaler.face->size->metrics.x_ppem;
    946         limit     = metrics->root.globals->increase_x_height;
    947         threshold = 40;
    948 
    949         /* if the `increase-x-height' property is active, */
    950         /* we round up much more often                    */
    951         if ( limit                                 &&
    952              ppem <= limit                         &&
    953              ppem >= AF_PROP_INCREASE_X_HEIGHT_MIN )
    954           threshold = 52;
    955 
    956         fitted = ( scaled + threshold ) & ~63;
    957 
    958         if ( scaled != fitted )
    959         {
    960 #if 0
    961           if ( dim == AF_DIMENSION_HORZ )
    962           {
    963             if ( fitted < scaled )
    964               scale -= scale / 50;  /* scale *= 0.98 */
    965           }
    966           else
    967 #endif
    968           if ( dim == AF_DIMENSION_VERT )
    969           {
    970             scale = FT_MulDiv( scale, fitted, scaled );
    971 
    972             FT_TRACE5((
    973               "af_latin_metrics_scale_dim:"
    974               " x height alignment (style `%s'):\n"
    975               "                           "
    976               " vertical scaling changed from %.4f to %.4f (by %d%%)\n"
    977               "\n",
    978               af_style_names[metrics->root.style_class->style],
    979               axis->org_scale / 65536.0,
    980               scale / 65536.0,
    981               ( fitted - scaled ) * 100 / scaled ));
    982           }
    983         }
    984       }
    985     }
    986 
    987     axis->scale = scale;
    988     axis->delta = delta;
    989 
    990     if ( dim == AF_DIMENSION_HORZ )
    991     {
    992       metrics->root.scaler.x_scale = scale;
    993       metrics->root.scaler.x_delta = delta;
    994     }
    995     else
    996     {
    997       metrics->root.scaler.y_scale = scale;
    998       metrics->root.scaler.y_delta = delta;
    999     }
   1000 
   1001     FT_TRACE5(( "%s widths (style `%s')\n",
   1002                 dim == AF_DIMENSION_HORZ ? "horizontal" : "vertical",
   1003                 af_style_names[metrics->root.style_class->style] ));
   1004 
   1005     /* scale the widths */
   1006     for ( nn = 0; nn < axis->width_count; nn++ )
   1007     {
   1008       AF_Width  width = axis->widths + nn;
   1009 
   1010 
   1011       width->cur = FT_MulFix( width->org, scale );
   1012       width->fit = width->cur;
   1013 
   1014       FT_TRACE5(( "  %d scaled to %.2f\n",
   1015                   width->org,
   1016                   width->cur / 64.0 ));
   1017     }
   1018 
   1019     FT_TRACE5(( "\n" ));
   1020 
   1021     /* an extra-light axis corresponds to a standard width that is */
   1022     /* smaller than 5/8 pixels                                     */
   1023     axis->extra_light =
   1024       (FT_Bool)( FT_MulFix( axis->standard_width, scale ) < 32 + 8 );
   1025 
   1026 #ifdef FT_DEBUG_LEVEL_TRACE
   1027     if ( axis->extra_light )
   1028       FT_TRACE5(( "`%s' style is extra light (at current resolution)\n"
   1029                   "\n",
   1030                   af_style_names[metrics->root.style_class->style] ));
   1031 #endif
   1032 
   1033     if ( dim == AF_DIMENSION_VERT )
   1034     {
   1035       FT_TRACE5(( "blue zones (style `%s')\n",
   1036                   af_style_names[metrics->root.style_class->style] ));
   1037 
   1038       /* scale the blue zones */
   1039       for ( nn = 0; nn < axis->blue_count; nn++ )
   1040       {
   1041         AF_LatinBlue  blue = &axis->blues[nn];
   1042         FT_Pos        dist;
   1043 
   1044 
   1045         blue->ref.cur   = FT_MulFix( blue->ref.org, scale ) + delta;
   1046         blue->ref.fit   = blue->ref.cur;
   1047         blue->shoot.cur = FT_MulFix( blue->shoot.org, scale ) + delta;
   1048         blue->shoot.fit = blue->shoot.cur;
   1049         blue->flags    &= ~AF_LATIN_BLUE_ACTIVE;
   1050 
   1051         /* a blue zone is only active if it is less than 3/4 pixels tall */
   1052         dist = FT_MulFix( blue->ref.org - blue->shoot.org, scale );
   1053         if ( dist <= 48 && dist >= -48 )
   1054         {
   1055 #if 0
   1056           FT_Pos  delta1;
   1057 #endif
   1058           FT_Pos  delta2;
   1059 
   1060 
   1061           /* use discrete values for blue zone widths */
   1062 
   1063 #if 0
   1064 
   1065           /* generic, original code */
   1066           delta1 = blue->shoot.org - blue->ref.org;
   1067           delta2 = delta1;
   1068           if ( delta1 < 0 )
   1069             delta2 = -delta2;
   1070 
   1071           delta2 = FT_MulFix( delta2, scale );
   1072 
   1073           if ( delta2 < 32 )
   1074             delta2 = 0;
   1075           else if ( delta2 < 64 )
   1076             delta2 = 32 + ( ( ( delta2 - 32 ) + 16 ) & ~31 );
   1077           else
   1078             delta2 = FT_PIX_ROUND( delta2 );
   1079 
   1080           if ( delta1 < 0 )
   1081             delta2 = -delta2;
   1082 
   1083           blue->ref.fit   = FT_PIX_ROUND( blue->ref.cur );
   1084           blue->shoot.fit = blue->ref.fit + delta2;
   1085 
   1086 #else
   1087 
   1088           /* simplified version due to abs(dist) <= 48 */
   1089           delta2 = dist;
   1090           if ( dist < 0 )
   1091             delta2 = -delta2;
   1092 
   1093           if ( delta2 < 32 )
   1094             delta2 = 0;
   1095           else if ( delta2 < 48 )
   1096             delta2 = 32;
   1097           else
   1098             delta2 = 64;
   1099 
   1100           if ( dist < 0 )
   1101             delta2 = -delta2;
   1102 
   1103           blue->ref.fit   = FT_PIX_ROUND( blue->ref.cur );
   1104           blue->shoot.fit = blue->ref.fit - delta2;
   1105 
   1106 #endif
   1107 
   1108           blue->flags |= AF_LATIN_BLUE_ACTIVE;
   1109 
   1110           FT_TRACE5(( "  reference %d: %d scaled to %.2f%s\n"
   1111                       "  overshoot %d: %d scaled to %.2f%s\n",
   1112                       nn,
   1113                       blue->ref.org,
   1114                       blue->ref.fit / 64.0,
   1115                       blue->flags & AF_LATIN_BLUE_ACTIVE ? ""
   1116                                                          : " (inactive)",
   1117                       nn,
   1118                       blue->shoot.org,
   1119                       blue->shoot.fit / 64.0,
   1120                       blue->flags & AF_LATIN_BLUE_ACTIVE ? ""
   1121                                                          : " (inactive)" ));
   1122         }
   1123       }
   1124     }
   1125   }
   1126 
   1127 
   1128   /* Scale global values in both directions. */
   1129 
   1130   FT_LOCAL_DEF( void )
   1131   af_latin_metrics_scale( AF_LatinMetrics  metrics,
   1132                           AF_Scaler        scaler )
   1133   {
   1134     metrics->root.scaler.render_mode = scaler->render_mode;
   1135     metrics->root.scaler.face        = scaler->face;
   1136     metrics->root.scaler.flags       = scaler->flags;
   1137 
   1138     af_latin_metrics_scale_dim( metrics, scaler, AF_DIMENSION_HORZ );
   1139     af_latin_metrics_scale_dim( metrics, scaler, AF_DIMENSION_VERT );
   1140   }
   1141 
   1142 
   1143   /*************************************************************************/
   1144   /*************************************************************************/
   1145   /*****                                                               *****/
   1146   /*****           L A T I N   G L Y P H   A N A L Y S I S             *****/
   1147   /*****                                                               *****/
   1148   /*************************************************************************/
   1149   /*************************************************************************/
   1150 
   1151 
   1152   /* Walk over all contours and compute its segments. */
   1153 
   1154   FT_LOCAL_DEF( FT_Error )
   1155   af_latin_hints_compute_segments( AF_GlyphHints  hints,
   1156                                    AF_Dimension   dim )
   1157   {
   1158     AF_AxisHints   axis          = &hints->axis[dim];
   1159     FT_Memory      memory        = hints->memory;
   1160     FT_Error       error         = FT_Err_Ok;
   1161     AF_Segment     segment       = NULL;
   1162     AF_SegmentRec  seg0;
   1163     AF_Point*      contour       = hints->contours;
   1164     AF_Point*      contour_limit = contour + hints->num_contours;
   1165     AF_Direction   major_dir, segment_dir;
   1166 
   1167 
   1168     FT_ZERO( &seg0 );
   1169     seg0.score = 32000;
   1170     seg0.flags = AF_EDGE_NORMAL;
   1171 
   1172     major_dir   = (AF_Direction)FT_ABS( axis->major_dir );
   1173     segment_dir = major_dir;
   1174 
   1175     axis->num_segments = 0;
   1176 
   1177     /* set up (u,v) in each point */
   1178     if ( dim == AF_DIMENSION_HORZ )
   1179     {
   1180       AF_Point  point = hints->points;
   1181       AF_Point  limit = point + hints->num_points;
   1182 
   1183 
   1184       for ( ; point < limit; point++ )
   1185       {
   1186         point->u = point->fx;
   1187         point->v = point->fy;
   1188       }
   1189     }
   1190     else
   1191     {
   1192       AF_Point  point = hints->points;
   1193       AF_Point  limit = point + hints->num_points;
   1194 
   1195 
   1196       for ( ; point < limit; point++ )
   1197       {
   1198         point->u = point->fy;
   1199         point->v = point->fx;
   1200       }
   1201     }
   1202 
   1203     /* do each contour separately */
   1204     for ( ; contour < contour_limit; contour++ )
   1205     {
   1206       AF_Point  point   =  contour[0];
   1207       AF_Point  last    =  point->prev;
   1208       int       on_edge =  0;
   1209       FT_Pos    min_pos =  32000;  /* minimum segment pos != min_coord */
   1210       FT_Pos    max_pos = -32000;  /* maximum segment pos != max_coord */
   1211       FT_Bool   passed;
   1212 
   1213 
   1214       if ( point == last )  /* skip singletons -- just in case */
   1215         continue;
   1216 
   1217       if ( FT_ABS( last->out_dir )  == major_dir &&
   1218            FT_ABS( point->out_dir ) == major_dir )
   1219       {
   1220         /* we are already on an edge, try to locate its start */
   1221         last = point;
   1222 
   1223         for (;;)
   1224         {
   1225           point = point->prev;
   1226           if ( FT_ABS( point->out_dir ) != major_dir )
   1227           {
   1228             point = point->next;
   1229             break;
   1230           }
   1231           if ( point == last )
   1232             break;
   1233         }
   1234       }
   1235 
   1236       last   = point;
   1237       passed = 0;
   1238 
   1239       for (;;)
   1240       {
   1241         FT_Pos  u, v;
   1242 
   1243 
   1244         if ( on_edge )
   1245         {
   1246           u = point->u;
   1247           if ( u < min_pos )
   1248             min_pos = u;
   1249           if ( u > max_pos )
   1250             max_pos = u;
   1251 
   1252           if ( point->out_dir != segment_dir || point == last )
   1253           {
   1254             /* we are just leaving an edge; record a new segment! */
   1255             segment->last = point;
   1256             segment->pos  = (FT_Short)( ( min_pos + max_pos ) >> 1 );
   1257 
   1258             /* a segment is round if either its first or last point */
   1259             /* is a control point                                   */
   1260             if ( ( segment->first->flags | point->flags ) &
   1261                  AF_FLAG_CONTROL                          )
   1262               segment->flags |= AF_EDGE_ROUND;
   1263 
   1264             /* compute segment size */
   1265             min_pos = max_pos = point->v;
   1266 
   1267             v = segment->first->v;
   1268             if ( v < min_pos )
   1269               min_pos = v;
   1270             if ( v > max_pos )
   1271               max_pos = v;
   1272 
   1273             segment->min_coord = (FT_Short)min_pos;
   1274             segment->max_coord = (FT_Short)max_pos;
   1275             segment->height    = (FT_Short)( segment->max_coord -
   1276                                              segment->min_coord );
   1277 
   1278             on_edge = 0;
   1279             segment = NULL;
   1280             /* fall through */
   1281           }
   1282         }
   1283 
   1284         /* now exit if we are at the start/end point */
   1285         if ( point == last )
   1286         {
   1287           if ( passed )
   1288             break;
   1289           passed = 1;
   1290         }
   1291 
   1292         if ( !on_edge && FT_ABS( point->out_dir ) == major_dir )
   1293         {
   1294           /* this is the start of a new segment! */
   1295           segment_dir = (AF_Direction)point->out_dir;
   1296 
   1297           error = af_axis_hints_new_segment( axis, memory, &segment );
   1298           if ( error )
   1299             goto Exit;
   1300 
   1301           /* clear all segment fields */
   1302           segment[0] = seg0;
   1303 
   1304           segment->dir      = (FT_Char)segment_dir;
   1305           min_pos = max_pos = point->u;
   1306           segment->first    = point;
   1307           segment->last     = point;
   1308 
   1309           on_edge = 1;
   1310         }
   1311 
   1312         point = point->next;
   1313       }
   1314 
   1315     } /* contours */
   1316 
   1317 
   1318     /* now slightly increase the height of segments if this makes */
   1319     /* sense -- this is used to better detect and ignore serifs   */
   1320     {
   1321       AF_Segment  segments     = axis->segments;
   1322       AF_Segment  segments_end = segments + axis->num_segments;
   1323 
   1324 
   1325       for ( segment = segments; segment < segments_end; segment++ )
   1326       {
   1327         AF_Point  first   = segment->first;
   1328         AF_Point  last    = segment->last;
   1329         FT_Pos    first_v = first->v;
   1330         FT_Pos    last_v  = last->v;
   1331 
   1332 
   1333         if ( first_v < last_v )
   1334         {
   1335           AF_Point  p;
   1336 
   1337 
   1338           p = first->prev;
   1339           if ( p->v < first_v )
   1340             segment->height = (FT_Short)( segment->height +
   1341                                           ( ( first_v - p->v ) >> 1 ) );
   1342 
   1343           p = last->next;
   1344           if ( p->v > last_v )
   1345             segment->height = (FT_Short)( segment->height +
   1346                                           ( ( p->v - last_v ) >> 1 ) );
   1347         }
   1348         else
   1349         {
   1350           AF_Point  p;
   1351 
   1352 
   1353           p = first->prev;
   1354           if ( p->v > first_v )
   1355             segment->height = (FT_Short)( segment->height +
   1356                                           ( ( p->v - first_v ) >> 1 ) );
   1357 
   1358           p = last->next;
   1359           if ( p->v < last_v )
   1360             segment->height = (FT_Short)( segment->height +
   1361                                           ( ( last_v - p->v ) >> 1 ) );
   1362         }
   1363       }
   1364     }
   1365 
   1366   Exit:
   1367     return error;
   1368   }
   1369 
   1370 
   1371   /* Link segments to form stems and serifs.  If `width_count' and      */
   1372   /* `widths' are non-zero, use them to fine-tune the scoring function. */
   1373 
   1374   FT_LOCAL_DEF( void )
   1375   af_latin_hints_link_segments( AF_GlyphHints  hints,
   1376                                 FT_UInt        width_count,
   1377                                 AF_WidthRec*   widths,
   1378                                 AF_Dimension   dim )
   1379   {
   1380     AF_AxisHints  axis          = &hints->axis[dim];
   1381     AF_Segment    segments      = axis->segments;
   1382     AF_Segment    segment_limit = segments + axis->num_segments;
   1383     FT_Pos        len_threshold, len_score, dist_score, max_width;
   1384     AF_Segment    seg1, seg2;
   1385 
   1386 
   1387     if ( width_count )
   1388       max_width = widths[width_count - 1].org;
   1389     else
   1390       max_width = 0;
   1391 
   1392     /* a heuristic value to set up a minimum value for overlapping */
   1393     len_threshold = AF_LATIN_CONSTANT( hints->metrics, 8 );
   1394     if ( len_threshold == 0 )
   1395       len_threshold = 1;
   1396 
   1397     /* a heuristic value to weight lengths */
   1398     len_score = AF_LATIN_CONSTANT( hints->metrics, 6000 );
   1399 
   1400     /* a heuristic value to weight distances (no call to    */
   1401     /* AF_LATIN_CONSTANT needed, since we work on multiples */
   1402     /* of the stem width)                                   */
   1403     dist_score = 3000;
   1404 
   1405     /* now compare each segment to the others */
   1406     for ( seg1 = segments; seg1 < segment_limit; seg1++ )
   1407     {
   1408       if ( seg1->dir != axis->major_dir )
   1409         continue;
   1410 
   1411       /* search for stems having opposite directions, */
   1412       /* with seg1 to the `left' of seg2              */
   1413       for ( seg2 = segments; seg2 < segment_limit; seg2++ )
   1414       {
   1415         FT_Pos  pos1 = seg1->pos;
   1416         FT_Pos  pos2 = seg2->pos;
   1417 
   1418 
   1419         if ( seg1->dir + seg2->dir == 0 && pos2 > pos1 )
   1420         {
   1421           /* compute distance between the two segments */
   1422           FT_Pos  min = seg1->min_coord;
   1423           FT_Pos  max = seg1->max_coord;
   1424           FT_Pos  len;
   1425 
   1426 
   1427           if ( min < seg2->min_coord )
   1428             min = seg2->min_coord;
   1429 
   1430           if ( max > seg2->max_coord )
   1431             max = seg2->max_coord;
   1432 
   1433           /* compute maximum coordinate difference of the two segments */
   1434           /* (this is, how much they overlap)                          */
   1435           len = max - min;
   1436           if ( len >= len_threshold )
   1437           {
   1438             /*
   1439              *  The score is the sum of two demerits indicating the
   1440              *  `badness' of a fit, measured along the segments' main axis
   1441              *  and orthogonal to it, respectively.
   1442              *
   1443              *  o The less overlapping along the main axis, the worse it
   1444              *    is, causing a larger demerit.
   1445              *
   1446              *  o The nearer the orthogonal distance to a stem width, the
   1447              *    better it is, causing a smaller demerit.  For simplicity,
   1448              *    however, we only increase the demerit for values that
   1449              *    exceed the largest stem width.
   1450              */
   1451 
   1452             FT_Pos  dist = pos2 - pos1;
   1453 
   1454             FT_Pos  dist_demerit, score;
   1455 
   1456 
   1457             if ( max_width )
   1458             {
   1459               /* distance demerits are based on multiples of `max_width'; */
   1460               /* we scale by 1024 for getting more precision              */
   1461               FT_Pos  delta = ( dist << 10 ) / max_width - ( 1 << 10 );
   1462 
   1463 
   1464               if ( delta > 10000 )
   1465                 dist_demerit = 32000;
   1466               else if ( delta > 0 )
   1467                 dist_demerit = delta * delta / dist_score;
   1468               else
   1469                 dist_demerit = 0;
   1470             }
   1471             else
   1472               dist_demerit = dist; /* default if no widths available */
   1473 
   1474             score = dist_demerit + len_score / len;
   1475 
   1476             /* and we search for the smallest score */
   1477             if ( score < seg1->score )
   1478             {
   1479               seg1->score = score;
   1480               seg1->link  = seg2;
   1481             }
   1482 
   1483             if ( score < seg2->score )
   1484             {
   1485               seg2->score = score;
   1486               seg2->link  = seg1;
   1487             }
   1488           }
   1489         }
   1490       }
   1491     }
   1492 
   1493     /* now compute the `serif' segments, cf. explanations in `afhints.h' */
   1494     for ( seg1 = segments; seg1 < segment_limit; seg1++ )
   1495     {
   1496       seg2 = seg1->link;
   1497 
   1498       if ( seg2 )
   1499       {
   1500         if ( seg2->link != seg1 )
   1501         {
   1502           seg1->link  = 0;
   1503           seg1->serif = seg2->link;
   1504         }
   1505       }
   1506     }
   1507   }
   1508 
   1509 
   1510   /* Link segments to edges, using feature analysis for selection. */
   1511 
   1512   FT_LOCAL_DEF( FT_Error )
   1513   af_latin_hints_compute_edges( AF_GlyphHints  hints,
   1514                                 AF_Dimension   dim )
   1515   {
   1516     AF_AxisHints  axis   = &hints->axis[dim];
   1517     FT_Error      error  = FT_Err_Ok;
   1518     FT_Memory     memory = hints->memory;
   1519     AF_LatinAxis  laxis  = &((AF_LatinMetrics)hints->metrics)->axis[dim];
   1520 
   1521     AF_Segment    segments      = axis->segments;
   1522     AF_Segment    segment_limit = segments + axis->num_segments;
   1523     AF_Segment    seg;
   1524 
   1525 #if 0
   1526     AF_Direction  up_dir;
   1527 #endif
   1528     FT_Fixed      scale;
   1529     FT_Pos        edge_distance_threshold;
   1530     FT_Pos        segment_length_threshold;
   1531 
   1532 
   1533     axis->num_edges = 0;
   1534 
   1535     scale = ( dim == AF_DIMENSION_HORZ ) ? hints->x_scale
   1536                                          : hints->y_scale;
   1537 
   1538 #if 0
   1539     up_dir = ( dim == AF_DIMENSION_HORZ ) ? AF_DIR_UP
   1540                                           : AF_DIR_RIGHT;
   1541 #endif
   1542 
   1543     /*
   1544      *  We ignore all segments that are less than 1 pixel in length
   1545      *  to avoid many problems with serif fonts.  We compute the
   1546      *  corresponding threshold in font units.
   1547      */
   1548     if ( dim == AF_DIMENSION_HORZ )
   1549         segment_length_threshold = FT_DivFix( 64, hints->y_scale );
   1550     else
   1551         segment_length_threshold = 0;
   1552 
   1553     /*********************************************************************/
   1554     /*                                                                   */
   1555     /* We begin by generating a sorted table of edges for the current    */
   1556     /* direction.  To do so, we simply scan each segment and try to find */
   1557     /* an edge in our table that corresponds to its position.            */
   1558     /*                                                                   */
   1559     /* If no edge is found, we create and insert a new edge in the       */
   1560     /* sorted table.  Otherwise, we simply add the segment to the edge's */
   1561     /* list which gets processed in the second step to compute the       */
   1562     /* edge's properties.                                                */
   1563     /*                                                                   */
   1564     /* Note that the table of edges is sorted along the segment/edge     */
   1565     /* position.                                                         */
   1566     /*                                                                   */
   1567     /*********************************************************************/
   1568 
   1569     /* assure that edge distance threshold is at most 0.25px */
   1570     edge_distance_threshold = FT_MulFix( laxis->edge_distance_threshold,
   1571                                          scale );
   1572     if ( edge_distance_threshold > 64 / 4 )
   1573       edge_distance_threshold = 64 / 4;
   1574 
   1575     edge_distance_threshold = FT_DivFix( edge_distance_threshold,
   1576                                          scale );
   1577 
   1578     for ( seg = segments; seg < segment_limit; seg++ )
   1579     {
   1580       AF_Edge  found = NULL;
   1581       FT_Int   ee;
   1582 
   1583 
   1584       if ( seg->height < segment_length_threshold )
   1585         continue;
   1586 
   1587       /* A special case for serif edges: If they are smaller than */
   1588       /* 1.5 pixels we ignore them.                               */
   1589       if ( seg->serif                                     &&
   1590            2 * seg->height < 3 * segment_length_threshold )
   1591         continue;
   1592 
   1593       /* look for an edge corresponding to the segment */
   1594       for ( ee = 0; ee < axis->num_edges; ee++ )
   1595       {
   1596         AF_Edge  edge = axis->edges + ee;
   1597         FT_Pos   dist;
   1598 
   1599 
   1600         dist = seg->pos - edge->fpos;
   1601         if ( dist < 0 )
   1602           dist = -dist;
   1603 
   1604         if ( dist < edge_distance_threshold && edge->dir == seg->dir )
   1605         {
   1606           found = edge;
   1607           break;
   1608         }
   1609       }
   1610 
   1611       if ( !found )
   1612       {
   1613         AF_Edge  edge;
   1614 
   1615 
   1616         /* insert a new edge in the list and */
   1617         /* sort according to the position    */
   1618         error = af_axis_hints_new_edge( axis, seg->pos,
   1619                                         (AF_Direction)seg->dir,
   1620                                         memory, &edge );
   1621         if ( error )
   1622           goto Exit;
   1623 
   1624         /* add the segment to the new edge's list */
   1625         FT_ZERO( edge );
   1626 
   1627         edge->first    = seg;
   1628         edge->last     = seg;
   1629         edge->dir      = seg->dir;
   1630         edge->fpos     = seg->pos;
   1631         edge->opos     = FT_MulFix( seg->pos, scale );
   1632         edge->pos      = edge->opos;
   1633         seg->edge_next = seg;
   1634       }
   1635       else
   1636       {
   1637         /* if an edge was found, simply add the segment to the edge's */
   1638         /* list                                                       */
   1639         seg->edge_next         = found->first;
   1640         found->last->edge_next = seg;
   1641         found->last            = seg;
   1642       }
   1643     }
   1644 
   1645 
   1646     /******************************************************************/
   1647     /*                                                                */
   1648     /* Good, we now compute each edge's properties according to the   */
   1649     /* segments found on its position.  Basically, these are          */
   1650     /*                                                                */
   1651     /*  - the edge's main direction                                   */
   1652     /*  - stem edge, serif edge or both (which defaults to stem then) */
   1653     /*  - rounded edge, straight or both (which defaults to straight) */
   1654     /*  - link for edge                                               */
   1655     /*                                                                */
   1656     /******************************************************************/
   1657 
   1658     /* first of all, set the `edge' field in each segment -- this is */
   1659     /* required in order to compute edge links                       */
   1660 
   1661     /*
   1662      * Note that removing this loop and setting the `edge' field of each
   1663      * segment directly in the code above slows down execution speed for
   1664      * some reasons on platforms like the Sun.
   1665      */
   1666     {
   1667       AF_Edge  edges      = axis->edges;
   1668       AF_Edge  edge_limit = edges + axis->num_edges;
   1669       AF_Edge  edge;
   1670 
   1671 
   1672       for ( edge = edges; edge < edge_limit; edge++ )
   1673       {
   1674         seg = edge->first;
   1675         if ( seg )
   1676           do
   1677           {
   1678             seg->edge = edge;
   1679             seg       = seg->edge_next;
   1680 
   1681           } while ( seg != edge->first );
   1682       }
   1683 
   1684       /* now compute each edge properties */
   1685       for ( edge = edges; edge < edge_limit; edge++ )
   1686       {
   1687         FT_Int  is_round    = 0;  /* does it contain round segments?    */
   1688         FT_Int  is_straight = 0;  /* does it contain straight segments? */
   1689 #if 0
   1690         FT_Pos  ups         = 0;  /* number of upwards segments         */
   1691         FT_Pos  downs       = 0;  /* number of downwards segments       */
   1692 #endif
   1693 
   1694 
   1695         seg = edge->first;
   1696 
   1697         do
   1698         {
   1699           FT_Bool  is_serif;
   1700 
   1701 
   1702           /* check for roundness of segment */
   1703           if ( seg->flags & AF_EDGE_ROUND )
   1704             is_round++;
   1705           else
   1706             is_straight++;
   1707 
   1708 #if 0
   1709           /* check for segment direction */
   1710           if ( seg->dir == up_dir )
   1711             ups   += seg->max_coord - seg->min_coord;
   1712           else
   1713             downs += seg->max_coord - seg->min_coord;
   1714 #endif
   1715 
   1716           /* check for links -- if seg->serif is set, then seg->link must */
   1717           /* be ignored                                                   */
   1718           is_serif = (FT_Bool)( seg->serif               &&
   1719                                 seg->serif->edge         &&
   1720                                 seg->serif->edge != edge );
   1721 
   1722           if ( ( seg->link && seg->link->edge != NULL ) || is_serif )
   1723           {
   1724             AF_Edge     edge2;
   1725             AF_Segment  seg2;
   1726 
   1727 
   1728             edge2 = edge->link;
   1729             seg2  = seg->link;
   1730 
   1731             if ( is_serif )
   1732             {
   1733               seg2  = seg->serif;
   1734               edge2 = edge->serif;
   1735             }
   1736 
   1737             if ( edge2 )
   1738             {
   1739               FT_Pos  edge_delta;
   1740               FT_Pos  seg_delta;
   1741 
   1742 
   1743               edge_delta = edge->fpos - edge2->fpos;
   1744               if ( edge_delta < 0 )
   1745                 edge_delta = -edge_delta;
   1746 
   1747               seg_delta = seg->pos - seg2->pos;
   1748               if ( seg_delta < 0 )
   1749                 seg_delta = -seg_delta;
   1750 
   1751               if ( seg_delta < edge_delta )
   1752                 edge2 = seg2->edge;
   1753             }
   1754             else
   1755               edge2 = seg2->edge;
   1756 
   1757             if ( is_serif )
   1758             {
   1759               edge->serif   = edge2;
   1760               edge2->flags |= AF_EDGE_SERIF;
   1761             }
   1762             else
   1763               edge->link  = edge2;
   1764           }
   1765 
   1766           seg = seg->edge_next;
   1767 
   1768         } while ( seg != edge->first );
   1769 
   1770         /* set the round/straight flags */
   1771         edge->flags = AF_EDGE_NORMAL;
   1772 
   1773         if ( is_round > 0 && is_round >= is_straight )
   1774           edge->flags |= AF_EDGE_ROUND;
   1775 
   1776 #if 0
   1777         /* set the edge's main direction */
   1778         edge->dir = AF_DIR_NONE;
   1779 
   1780         if ( ups > downs )
   1781           edge->dir = (FT_Char)up_dir;
   1782 
   1783         else if ( ups < downs )
   1784           edge->dir = (FT_Char)-up_dir;
   1785 
   1786         else if ( ups == downs )
   1787           edge->dir = 0;  /* both up and down! */
   1788 #endif
   1789 
   1790         /* get rid of serifs if link is set                 */
   1791         /* XXX: This gets rid of many unpleasant artefacts! */
   1792         /*      Example: the `c' in cour.pfa at size 13     */
   1793 
   1794         if ( edge->serif && edge->link )
   1795           edge->serif = NULL;
   1796       }
   1797     }
   1798 
   1799   Exit:
   1800     return error;
   1801   }
   1802 
   1803 
   1804   /* Detect segments and edges for given dimension. */
   1805 
   1806   FT_LOCAL_DEF( FT_Error )
   1807   af_latin_hints_detect_features( AF_GlyphHints  hints,
   1808                                   FT_UInt        width_count,
   1809                                   AF_WidthRec*   widths,
   1810                                   AF_Dimension   dim )
   1811   {
   1812     FT_Error  error;
   1813 
   1814 
   1815     error = af_latin_hints_compute_segments( hints, dim );
   1816     if ( !error )
   1817     {
   1818       af_latin_hints_link_segments( hints, width_count, widths, dim );
   1819 
   1820       error = af_latin_hints_compute_edges( hints, dim );
   1821     }
   1822 
   1823     return error;
   1824   }
   1825 
   1826 
   1827   /* Compute all edges which lie within blue zones. */
   1828 
   1829   static void
   1830   af_latin_hints_compute_blue_edges( AF_GlyphHints    hints,
   1831                                      AF_LatinMetrics  metrics )
   1832   {
   1833     AF_AxisHints  axis       = &hints->axis[AF_DIMENSION_VERT];
   1834     AF_Edge       edge       = axis->edges;
   1835     AF_Edge       edge_limit = edge + axis->num_edges;
   1836     AF_LatinAxis  latin      = &metrics->axis[AF_DIMENSION_VERT];
   1837     FT_Fixed      scale      = latin->scale;
   1838 
   1839 
   1840     /* compute which blue zones are active, i.e. have their scaled */
   1841     /* size < 3/4 pixels                                           */
   1842 
   1843     /* for each horizontal edge search the blue zone which is closest */
   1844     for ( ; edge < edge_limit; edge++ )
   1845     {
   1846       FT_UInt   bb;
   1847       AF_Width  best_blue            = NULL;
   1848       FT_Bool   best_blue_is_neutral = 0;
   1849       FT_Pos    best_dist;                 /* initial threshold */
   1850 
   1851 
   1852       /* compute the initial threshold as a fraction of the EM size */
   1853       /* (the value 40 is heuristic)                                */
   1854       best_dist = FT_MulFix( metrics->units_per_em / 40, scale );
   1855 
   1856       /* assure a minimum distance of 0.5px */
   1857       if ( best_dist > 64 / 2 )
   1858         best_dist = 64 / 2;
   1859 
   1860       for ( bb = 0; bb < latin->blue_count; bb++ )
   1861       {
   1862         AF_LatinBlue  blue = latin->blues + bb;
   1863         FT_Bool       is_top_blue, is_neutral_blue, is_major_dir;
   1864 
   1865 
   1866         /* skip inactive blue zones (i.e., those that are too large) */
   1867         if ( !( blue->flags & AF_LATIN_BLUE_ACTIVE ) )
   1868           continue;
   1869 
   1870         /* if it is a top zone, check for right edges (against the major */
   1871         /* direction); if it is a bottom zone, check for left edges (in  */
   1872         /* the major direction) -- this assumes the TrueType convention  */
   1873         /* for the orientation of contours                               */
   1874         is_top_blue =
   1875           (FT_Byte)( ( blue->flags & AF_LATIN_BLUE_TOP ) != 0 );
   1876         is_neutral_blue =
   1877           (FT_Byte)( ( blue->flags & AF_LATIN_BLUE_NEUTRAL ) != 0);
   1878         is_major_dir =
   1879           FT_BOOL( edge->dir == axis->major_dir );
   1880 
   1881         /* neutral blue zones are handled for both directions */
   1882         if ( is_top_blue ^ is_major_dir || is_neutral_blue )
   1883         {
   1884           FT_Pos  dist;
   1885 
   1886 
   1887           /* first of all, compare it to the reference position */
   1888           dist = edge->fpos - blue->ref.org;
   1889           if ( dist < 0 )
   1890             dist = -dist;
   1891 
   1892           dist = FT_MulFix( dist, scale );
   1893           if ( dist < best_dist )
   1894           {
   1895             best_dist            = dist;
   1896             best_blue            = &blue->ref;
   1897             best_blue_is_neutral = is_neutral_blue;
   1898           }
   1899 
   1900           /* now compare it to the overshoot position and check whether */
   1901           /* the edge is rounded, and whether the edge is over the      */
   1902           /* reference position of a top zone, or under the reference   */
   1903           /* position of a bottom zone (provided we don't have a        */
   1904           /* neutral blue zone)                                         */
   1905           if ( edge->flags & AF_EDGE_ROUND &&
   1906                dist != 0                   &&
   1907                !is_neutral_blue            )
   1908           {
   1909             FT_Bool  is_under_ref = FT_BOOL( edge->fpos < blue->ref.org );
   1910 
   1911 
   1912             if ( is_top_blue ^ is_under_ref )
   1913             {
   1914               dist = edge->fpos - blue->shoot.org;
   1915               if ( dist < 0 )
   1916                 dist = -dist;
   1917 
   1918               dist = FT_MulFix( dist, scale );
   1919               if ( dist < best_dist )
   1920               {
   1921                 best_dist            = dist;
   1922                 best_blue            = &blue->shoot;
   1923                 best_blue_is_neutral = is_neutral_blue;
   1924               }
   1925             }
   1926           }
   1927         }
   1928       }
   1929 
   1930       if ( best_blue )
   1931       {
   1932         edge->blue_edge = best_blue;
   1933         if ( best_blue_is_neutral )
   1934           edge->flags |= AF_EDGE_NEUTRAL;
   1935       }
   1936     }
   1937   }
   1938 
   1939 
   1940   /* Initalize hinting engine. */
   1941 
   1942   static FT_Error
   1943   af_latin_hints_init( AF_GlyphHints    hints,
   1944                        AF_LatinMetrics  metrics )
   1945   {
   1946     FT_Render_Mode  mode;
   1947     FT_UInt32       scaler_flags, other_flags;
   1948     FT_Face         face = metrics->root.scaler.face;
   1949 
   1950 
   1951     af_glyph_hints_rescale( hints, (AF_StyleMetrics)metrics );
   1952 
   1953     /*
   1954      *  correct x_scale and y_scale if needed, since they may have
   1955      *  been modified by `af_latin_metrics_scale_dim' above
   1956      */
   1957     hints->x_scale = metrics->axis[AF_DIMENSION_HORZ].scale;
   1958     hints->x_delta = metrics->axis[AF_DIMENSION_HORZ].delta;
   1959     hints->y_scale = metrics->axis[AF_DIMENSION_VERT].scale;
   1960     hints->y_delta = metrics->axis[AF_DIMENSION_VERT].delta;
   1961 
   1962     /* compute flags depending on render mode, etc. */
   1963     mode = metrics->root.scaler.render_mode;
   1964 
   1965 #if 0 /* #ifdef AF_CONFIG_OPTION_USE_WARPER */
   1966     if ( mode == FT_RENDER_MODE_LCD || mode == FT_RENDER_MODE_LCD_V )
   1967       metrics->root.scaler.render_mode = mode = FT_RENDER_MODE_NORMAL;
   1968 #endif
   1969 
   1970     scaler_flags = hints->scaler_flags;
   1971     other_flags  = 0;
   1972 
   1973     /*
   1974      *  We snap the width of vertical stems for the monochrome and
   1975      *  horizontal LCD rendering targets only.
   1976      */
   1977     if ( mode == FT_RENDER_MODE_MONO || mode == FT_RENDER_MODE_LCD )
   1978       other_flags |= AF_LATIN_HINTS_HORZ_SNAP;
   1979 
   1980     /*
   1981      *  We snap the width of horizontal stems for the monochrome and
   1982      *  vertical LCD rendering targets only.
   1983      */
   1984     if ( mode == FT_RENDER_MODE_MONO || mode == FT_RENDER_MODE_LCD_V )
   1985       other_flags |= AF_LATIN_HINTS_VERT_SNAP;
   1986 
   1987     /*
   1988      *  We adjust stems to full pixels only if we don't use the `light' mode.
   1989      */
   1990     if ( mode != FT_RENDER_MODE_LIGHT )
   1991       other_flags |= AF_LATIN_HINTS_STEM_ADJUST;
   1992 
   1993     if ( mode == FT_RENDER_MODE_MONO )
   1994       other_flags |= AF_LATIN_HINTS_MONO;
   1995 
   1996     /*
   1997      *  In `light' hinting mode we disable horizontal hinting completely.
   1998      *  We also do it if the face is italic.
   1999      *
   2000      *  However, if warping is enabled (which only works in `light' hinting
   2001      *  mode), advance widths get adjusted, too.
   2002      */
   2003     if ( mode == FT_RENDER_MODE_LIGHT                      ||
   2004          ( face->style_flags & FT_STYLE_FLAG_ITALIC ) != 0 )
   2005       scaler_flags |= AF_SCALER_FLAG_NO_HORIZONTAL;
   2006 
   2007 #ifdef AF_CONFIG_OPTION_USE_WARPER
   2008     /* get (global) warper flag */
   2009     if ( !metrics->root.globals->module->warping )
   2010       scaler_flags |= AF_SCALER_FLAG_NO_WARPER;
   2011 #endif
   2012 
   2013     hints->scaler_flags = scaler_flags;
   2014     hints->other_flags  = other_flags;
   2015 
   2016     return FT_Err_Ok;
   2017   }
   2018 
   2019 
   2020   /*************************************************************************/
   2021   /*************************************************************************/
   2022   /*****                                                               *****/
   2023   /*****        L A T I N   G L Y P H   G R I D - F I T T I N G        *****/
   2024   /*****                                                               *****/
   2025   /*************************************************************************/
   2026   /*************************************************************************/
   2027 
   2028   /* Snap a given width in scaled coordinates to one of the */
   2029   /* current standard widths.                               */
   2030 
   2031   static FT_Pos
   2032   af_latin_snap_width( AF_Width  widths,
   2033                        FT_UInt   count,
   2034                        FT_Pos    width )
   2035   {
   2036     FT_UInt  n;
   2037     FT_Pos   best      = 64 + 32 + 2;
   2038     FT_Pos   reference = width;
   2039     FT_Pos   scaled;
   2040 
   2041 
   2042     for ( n = 0; n < count; n++ )
   2043     {
   2044       FT_Pos  w;
   2045       FT_Pos  dist;
   2046 
   2047 
   2048       w = widths[n].cur;
   2049       dist = width - w;
   2050       if ( dist < 0 )
   2051         dist = -dist;
   2052       if ( dist < best )
   2053       {
   2054         best      = dist;
   2055         reference = w;
   2056       }
   2057     }
   2058 
   2059     scaled = FT_PIX_ROUND( reference );
   2060 
   2061     if ( width >= reference )
   2062     {
   2063       if ( width < scaled + 48 )
   2064         width = reference;
   2065     }
   2066     else
   2067     {
   2068       if ( width > scaled - 48 )
   2069         width = reference;
   2070     }
   2071 
   2072     return width;
   2073   }
   2074 
   2075 
   2076   /* Compute the snapped width of a given stem, ignoring very thin ones. */
   2077   /* There is a lot of voodoo in this function; changing the hard-coded  */
   2078   /* parameters influence the whole hinting process.                     */
   2079 
   2080   static FT_Pos
   2081   af_latin_compute_stem_width( AF_GlyphHints  hints,
   2082                                AF_Dimension   dim,
   2083                                FT_Pos         width,
   2084                                FT_UInt        base_flags,
   2085                                FT_UInt        stem_flags )
   2086   {
   2087     AF_LatinMetrics  metrics  = (AF_LatinMetrics)hints->metrics;
   2088     AF_LatinAxis     axis     = &metrics->axis[dim];
   2089     FT_Pos           dist     = width;
   2090     FT_Int           sign     = 0;
   2091     FT_Int           vertical = ( dim == AF_DIMENSION_VERT );
   2092 
   2093 
   2094     if ( !AF_LATIN_HINTS_DO_STEM_ADJUST( hints ) ||
   2095          axis->extra_light                       )
   2096       return width;
   2097 
   2098     if ( dist < 0 )
   2099     {
   2100       dist = -width;
   2101       sign = 1;
   2102     }
   2103 
   2104     if ( (  vertical && !AF_LATIN_HINTS_DO_VERT_SNAP( hints ) ) ||
   2105          ( !vertical && !AF_LATIN_HINTS_DO_HORZ_SNAP( hints ) ) )
   2106     {
   2107       /* smooth hinting process: very lightly quantize the stem width */
   2108 
   2109       /* leave the widths of serifs alone */
   2110       if ( ( stem_flags & AF_EDGE_SERIF ) &&
   2111            vertical                       &&
   2112            ( dist < 3 * 64 )              )
   2113         goto Done_Width;
   2114 
   2115       else if ( base_flags & AF_EDGE_ROUND )
   2116       {
   2117         if ( dist < 80 )
   2118           dist = 64;
   2119       }
   2120       else if ( dist < 56 )
   2121         dist = 56;
   2122 
   2123       if ( axis->width_count > 0 )
   2124       {
   2125         FT_Pos  delta;
   2126 
   2127 
   2128         /* compare to standard width */
   2129         delta = dist - axis->widths[0].cur;
   2130 
   2131         if ( delta < 0 )
   2132           delta = -delta;
   2133 
   2134         if ( delta < 40 )
   2135         {
   2136           dist = axis->widths[0].cur;
   2137           if ( dist < 48 )
   2138             dist = 48;
   2139 
   2140           goto Done_Width;
   2141         }
   2142 
   2143         if ( dist < 3 * 64 )
   2144         {
   2145           delta  = dist & 63;
   2146           dist  &= -64;
   2147 
   2148           if ( delta < 10 )
   2149             dist += delta;
   2150 
   2151           else if ( delta < 32 )
   2152             dist += 10;
   2153 
   2154           else if ( delta < 54 )
   2155             dist += 54;
   2156 
   2157           else
   2158             dist += delta;
   2159         }
   2160         else
   2161           dist = ( dist + 32 ) & ~63;
   2162       }
   2163     }
   2164     else
   2165     {
   2166       /* strong hinting process: snap the stem width to integer pixels */
   2167 
   2168       FT_Pos  org_dist = dist;
   2169 
   2170 
   2171       dist = af_latin_snap_width( axis->widths, axis->width_count, dist );
   2172 
   2173       if ( vertical )
   2174       {
   2175         /* in the case of vertical hinting, always round */
   2176         /* the stem heights to integer pixels            */
   2177 
   2178         if ( dist >= 64 )
   2179           dist = ( dist + 16 ) & ~63;
   2180         else
   2181           dist = 64;
   2182       }
   2183       else
   2184       {
   2185         if ( AF_LATIN_HINTS_DO_MONO( hints ) )
   2186         {
   2187           /* monochrome horizontal hinting: snap widths to integer pixels */
   2188           /* with a different threshold                                   */
   2189 
   2190           if ( dist < 64 )
   2191             dist = 64;
   2192           else
   2193             dist = ( dist + 32 ) & ~63;
   2194         }
   2195         else
   2196         {
   2197           /* for horizontal anti-aliased hinting, we adopt a more subtle */
   2198           /* approach: we strengthen small stems, round stems whose size */
   2199           /* is between 1 and 2 pixels to an integer, otherwise nothing  */
   2200 
   2201           if ( dist < 48 )
   2202             dist = ( dist + 64 ) >> 1;
   2203 
   2204           else if ( dist < 128 )
   2205           {
   2206             /* We only round to an integer width if the corresponding */
   2207             /* distortion is less than 1/4 pixel.  Otherwise this     */
   2208             /* makes everything worse since the diagonals, which are  */
   2209             /* not hinted, appear a lot bolder or thinner than the    */
   2210             /* vertical stems.                                        */
   2211 
   2212             FT_Pos  delta;
   2213 
   2214 
   2215             dist = ( dist + 22 ) & ~63;
   2216             delta = dist - org_dist;
   2217             if ( delta < 0 )
   2218               delta = -delta;
   2219 
   2220             if ( delta >= 16 )
   2221             {
   2222               dist = org_dist;
   2223               if ( dist < 48 )
   2224                 dist = ( dist + 64 ) >> 1;
   2225             }
   2226           }
   2227           else
   2228             /* round otherwise to prevent color fringes in LCD mode */
   2229             dist = ( dist + 32 ) & ~63;
   2230         }
   2231       }
   2232     }
   2233 
   2234   Done_Width:
   2235     if ( sign )
   2236       dist = -dist;
   2237 
   2238     return dist;
   2239   }
   2240 
   2241 
   2242   /* Align one stem edge relative to the previous stem edge. */
   2243 
   2244   static void
   2245   af_latin_align_linked_edge( AF_GlyphHints  hints,
   2246                               AF_Dimension   dim,
   2247                               AF_Edge        base_edge,
   2248                               AF_Edge        stem_edge )
   2249   {
   2250     FT_Pos  dist = stem_edge->opos - base_edge->opos;
   2251 
   2252     FT_Pos  fitted_width = af_latin_compute_stem_width( hints, dim, dist,
   2253                                                         base_edge->flags,
   2254                                                         stem_edge->flags );
   2255 
   2256 
   2257     stem_edge->pos = base_edge->pos + fitted_width;
   2258 
   2259     FT_TRACE5(( "  LINK: edge %d (opos=%.2f) linked to %.2f,"
   2260                 " dist was %.2f, now %.2f\n",
   2261                 stem_edge - hints->axis[dim].edges, stem_edge->opos / 64.0,
   2262                 stem_edge->pos / 64.0, dist / 64.0, fitted_width / 64.0 ));
   2263   }
   2264 
   2265 
   2266   /* Shift the coordinates of the `serif' edge by the same amount */
   2267   /* as the corresponding `base' edge has been moved already.     */
   2268 
   2269   static void
   2270   af_latin_align_serif_edge( AF_GlyphHints  hints,
   2271                              AF_Edge        base,
   2272                              AF_Edge        serif )
   2273   {
   2274     FT_UNUSED( hints );
   2275 
   2276     serif->pos = base->pos + ( serif->opos - base->opos );
   2277   }
   2278 
   2279 
   2280   /*************************************************************************/
   2281   /*************************************************************************/
   2282   /*************************************************************************/
   2283   /****                                                                 ****/
   2284   /****                    E D G E   H I N T I N G                      ****/
   2285   /****                                                                 ****/
   2286   /*************************************************************************/
   2287   /*************************************************************************/
   2288   /*************************************************************************/
   2289 
   2290 
   2291   /* The main grid-fitting routine. */
   2292 
   2293   static void
   2294   af_latin_hint_edges( AF_GlyphHints  hints,
   2295                        AF_Dimension   dim )
   2296   {
   2297     AF_AxisHints  axis       = &hints->axis[dim];
   2298     AF_Edge       edges      = axis->edges;
   2299     AF_Edge       edge_limit = edges + axis->num_edges;
   2300     FT_PtrDist    n_edges;
   2301     AF_Edge       edge;
   2302     AF_Edge       anchor     = NULL;
   2303     FT_Int        has_serifs = 0;
   2304 
   2305 #ifdef FT_DEBUG_LEVEL_TRACE
   2306     FT_UInt       num_actions = 0;
   2307 #endif
   2308 
   2309 
   2310     FT_TRACE5(( "latin %s edge hinting (style `%s')\n",
   2311                 dim == AF_DIMENSION_VERT ? "horizontal" : "vertical",
   2312                 af_style_names[hints->metrics->style_class->style] ));
   2313 
   2314     /* we begin by aligning all stems relative to the blue zone */
   2315     /* if needed -- that's only for horizontal edges            */
   2316 
   2317     if ( dim == AF_DIMENSION_VERT && AF_HINTS_DO_BLUES( hints ) )
   2318     {
   2319       for ( edge = edges; edge < edge_limit; edge++ )
   2320       {
   2321         AF_Width  blue;
   2322         AF_Edge   edge1, edge2; /* these edges form the stem to check */
   2323 
   2324 
   2325         if ( edge->flags & AF_EDGE_DONE )
   2326           continue;
   2327 
   2328         edge1 = NULL;
   2329         edge2 = edge->link;
   2330 
   2331         /*
   2332          *  If a stem contains both a neutral and a non-neutral blue zone,
   2333          *  skip the neutral one.  Otherwise, outlines with different
   2334          *  directions might be incorrectly aligned at the same vertical
   2335          *  position.
   2336          *
   2337          *  If we have two neutral blue zones, skip one of them.
   2338          *
   2339          */
   2340         if ( edge->blue_edge && edge2 && edge2->blue_edge )
   2341         {
   2342           FT_Byte  neutral  = edge->flags  & AF_EDGE_NEUTRAL;
   2343           FT_Byte  neutral2 = edge2->flags & AF_EDGE_NEUTRAL;
   2344 
   2345 
   2346           if ( neutral2 )
   2347           {
   2348             edge2->blue_edge = NULL;
   2349             edge2->flags    &= ~AF_EDGE_NEUTRAL;
   2350           }
   2351           else if ( neutral )
   2352           {
   2353             edge->blue_edge = NULL;
   2354             edge->flags    &= ~AF_EDGE_NEUTRAL;
   2355           }
   2356         }
   2357 
   2358         blue = edge->blue_edge;
   2359         if ( blue )
   2360           edge1 = edge;
   2361 
   2362         /* flip edges if the other edge is aligned to a blue zone */
   2363         else if ( edge2 && edge2->blue_edge )
   2364         {
   2365           blue  = edge2->blue_edge;
   2366           edge1 = edge2;
   2367           edge2 = edge;
   2368         }
   2369 
   2370         if ( !edge1 )
   2371           continue;
   2372 
   2373 #ifdef FT_DEBUG_LEVEL_TRACE
   2374         if ( !anchor )
   2375           FT_TRACE5(( "  BLUE_ANCHOR: edge %d (opos=%.2f) snapped to %.2f,"
   2376                       " was %.2f (anchor=edge %d)\n",
   2377                       edge1 - edges, edge1->opos / 64.0, blue->fit / 64.0,
   2378                       edge1->pos / 64.0, edge - edges ));
   2379         else
   2380           FT_TRACE5(( "  BLUE: edge %d (opos=%.2f) snapped to %.2f,"
   2381                       " was %.2f\n",
   2382                       edge1 - edges, edge1->opos / 64.0, blue->fit / 64.0,
   2383                       edge1->pos / 64.0 ));
   2384 
   2385         num_actions++;
   2386 #endif
   2387 
   2388         edge1->pos    = blue->fit;
   2389         edge1->flags |= AF_EDGE_DONE;
   2390 
   2391         if ( edge2 && !edge2->blue_edge )
   2392         {
   2393           af_latin_align_linked_edge( hints, dim, edge1, edge2 );
   2394           edge2->flags |= AF_EDGE_DONE;
   2395 
   2396 #ifdef FT_DEBUG_LEVEL_TRACE
   2397           num_actions++;
   2398 #endif
   2399         }
   2400 
   2401         if ( !anchor )
   2402           anchor = edge;
   2403       }
   2404     }
   2405 
   2406     /* now we align all other stem edges, trying to maintain the */
   2407     /* relative order of stems in the glyph                      */
   2408     for ( edge = edges; edge < edge_limit; edge++ )
   2409     {
   2410       AF_Edge  edge2;
   2411 
   2412 
   2413       if ( edge->flags & AF_EDGE_DONE )
   2414         continue;
   2415 
   2416       /* skip all non-stem edges */
   2417       edge2 = edge->link;
   2418       if ( !edge2 )
   2419       {
   2420         has_serifs++;
   2421         continue;
   2422       }
   2423 
   2424       /* now align the stem */
   2425 
   2426       /* this should not happen, but it's better to be safe */
   2427       if ( edge2->blue_edge )
   2428       {
   2429         FT_TRACE5(( "  ASSERTION FAILED for edge %d\n", edge2 - edges ));
   2430 
   2431         af_latin_align_linked_edge( hints, dim, edge2, edge );
   2432         edge->flags |= AF_EDGE_DONE;
   2433 
   2434 #ifdef FT_DEBUG_LEVEL_TRACE
   2435         num_actions++;
   2436 #endif
   2437         continue;
   2438       }
   2439 
   2440       if ( !anchor )
   2441       {
   2442         /* if we reach this if clause, no stem has been aligned yet */
   2443 
   2444         FT_Pos  org_len, org_center, cur_len;
   2445         FT_Pos  cur_pos1, error1, error2, u_off, d_off;
   2446 
   2447 
   2448         org_len = edge2->opos - edge->opos;
   2449         cur_len = af_latin_compute_stem_width( hints, dim, org_len,
   2450                                                edge->flags,
   2451                                                edge2->flags );
   2452 
   2453         /* some voodoo to specially round edges for small stem widths; */
   2454         /* the idea is to align the center of a stem, then shifting    */
   2455         /* the stem edges to suitable positions                        */
   2456         if ( cur_len <= 64 )
   2457         {
   2458           /* width <= 1px */
   2459           u_off = 32;
   2460           d_off = 32;
   2461         }
   2462         else
   2463         {
   2464           /* 1px < width < 1.5px */
   2465           u_off = 38;
   2466           d_off = 26;
   2467         }
   2468 
   2469         if ( cur_len < 96 )
   2470         {
   2471           org_center = edge->opos + ( org_len >> 1 );
   2472           cur_pos1   = FT_PIX_ROUND( org_center );
   2473 
   2474           error1 = org_center - ( cur_pos1 - u_off );
   2475           if ( error1 < 0 )
   2476             error1 = -error1;
   2477 
   2478           error2 = org_center - ( cur_pos1 + d_off );
   2479           if ( error2 < 0 )
   2480             error2 = -error2;
   2481 
   2482           if ( error1 < error2 )
   2483             cur_pos1 -= u_off;
   2484           else
   2485             cur_pos1 += d_off;
   2486 
   2487           edge->pos  = cur_pos1 - cur_len / 2;
   2488           edge2->pos = edge->pos + cur_len;
   2489         }
   2490         else
   2491           edge->pos = FT_PIX_ROUND( edge->opos );
   2492 
   2493         anchor       = edge;
   2494         edge->flags |= AF_EDGE_DONE;
   2495 
   2496         FT_TRACE5(( "  ANCHOR: edge %d (opos=%.2f) and %d (opos=%.2f)"
   2497                     " snapped to %.2f and %.2f\n",
   2498                     edge - edges, edge->opos / 64.0,
   2499                     edge2 - edges, edge2->opos / 64.0,
   2500                     edge->pos / 64.0, edge2->pos / 64.0 ));
   2501 
   2502         af_latin_align_linked_edge( hints, dim, edge, edge2 );
   2503 
   2504 #ifdef FT_DEBUG_LEVEL_TRACE
   2505         num_actions += 2;
   2506 #endif
   2507       }
   2508       else
   2509       {
   2510         FT_Pos  org_pos, org_len, org_center, cur_len;
   2511         FT_Pos  cur_pos1, cur_pos2, delta1, delta2;
   2512 
   2513 
   2514         org_pos    = anchor->pos + ( edge->opos - anchor->opos );
   2515         org_len    = edge2->opos - edge->opos;
   2516         org_center = org_pos + ( org_len >> 1 );
   2517 
   2518         cur_len = af_latin_compute_stem_width( hints, dim, org_len,
   2519                                                edge->flags,
   2520                                                edge2->flags );
   2521 
   2522         if ( edge2->flags & AF_EDGE_DONE )
   2523         {
   2524           FT_TRACE5(( "  ADJUST: edge %d (pos=%.2f) moved to %.2f\n",
   2525                       edge - edges, edge->pos / 64.0,
   2526                       ( edge2->pos - cur_len ) / 64.0 ));
   2527 
   2528           edge->pos = edge2->pos - cur_len;
   2529         }
   2530 
   2531         else if ( cur_len < 96 )
   2532         {
   2533           FT_Pos  u_off, d_off;
   2534 
   2535 
   2536           cur_pos1 = FT_PIX_ROUND( org_center );
   2537 
   2538           if ( cur_len <= 64 )
   2539           {
   2540             u_off = 32;
   2541             d_off = 32;
   2542           }
   2543           else
   2544           {
   2545             u_off = 38;
   2546             d_off = 26;
   2547           }
   2548 
   2549           delta1 = org_center - ( cur_pos1 - u_off );
   2550           if ( delta1 < 0 )
   2551             delta1 = -delta1;
   2552 
   2553           delta2 = org_center - ( cur_pos1 + d_off );
   2554           if ( delta2 < 0 )
   2555             delta2 = -delta2;
   2556 
   2557           if ( delta1 < delta2 )
   2558             cur_pos1 -= u_off;
   2559           else
   2560             cur_pos1 += d_off;
   2561 
   2562           edge->pos  = cur_pos1 - cur_len / 2;
   2563           edge2->pos = cur_pos1 + cur_len / 2;
   2564 
   2565           FT_TRACE5(( "  STEM: edge %d (opos=%.2f) linked to %d (opos=%.2f)"
   2566                       " snapped to %.2f and %.2f\n",
   2567                       edge - edges, edge->opos / 64.0,
   2568                       edge2 - edges, edge2->opos / 64.0,
   2569                       edge->pos / 64.0, edge2->pos / 64.0 ));
   2570         }
   2571 
   2572         else
   2573         {
   2574           org_pos    = anchor->pos + ( edge->opos - anchor->opos );
   2575           org_len    = edge2->opos - edge->opos;
   2576           org_center = org_pos + ( org_len >> 1 );
   2577 
   2578           cur_len    = af_latin_compute_stem_width( hints, dim, org_len,
   2579                                                     edge->flags,
   2580                                                     edge2->flags );
   2581 
   2582           cur_pos1 = FT_PIX_ROUND( org_pos );
   2583           delta1   = cur_pos1 + ( cur_len >> 1 ) - org_center;
   2584           if ( delta1 < 0 )
   2585             delta1 = -delta1;
   2586 
   2587           cur_pos2 = FT_PIX_ROUND( org_pos + org_len ) - cur_len;
   2588           delta2   = cur_pos2 + ( cur_len >> 1 ) - org_center;
   2589           if ( delta2 < 0 )
   2590             delta2 = -delta2;
   2591 
   2592           edge->pos  = ( delta1 < delta2 ) ? cur_pos1 : cur_pos2;
   2593           edge2->pos = edge->pos + cur_len;
   2594 
   2595           FT_TRACE5(( "  STEM: edge %d (opos=%.2f) linked to %d (opos=%.2f)"
   2596                       " snapped to %.2f and %.2f\n",
   2597                       edge - edges, edge->opos / 64.0,
   2598                       edge2 - edges, edge2->opos / 64.0,
   2599                       edge->pos / 64.0, edge2->pos / 64.0 ));
   2600         }
   2601 
   2602 #ifdef FT_DEBUG_LEVEL_TRACE
   2603         num_actions++;
   2604 #endif
   2605 
   2606         edge->flags  |= AF_EDGE_DONE;
   2607         edge2->flags |= AF_EDGE_DONE;
   2608 
   2609         if ( edge > edges && edge->pos < edge[-1].pos )
   2610         {
   2611 #ifdef FT_DEBUG_LEVEL_TRACE
   2612           FT_TRACE5(( "  BOUND: edge %d (pos=%.2f) moved to %.2f\n",
   2613                       edge - edges, edge->pos / 64.0, edge[-1].pos / 64.0 ));
   2614 
   2615           num_actions++;
   2616 #endif
   2617 
   2618           edge->pos = edge[-1].pos;
   2619         }
   2620       }
   2621     }
   2622 
   2623     /* make sure that lowercase m's maintain their symmetry */
   2624 
   2625     /* In general, lowercase m's have six vertical edges if they are sans */
   2626     /* serif, or twelve if they are with serifs.  This implementation is  */
   2627     /* based on that assumption, and seems to work very well with most    */
   2628     /* faces.  However, if for a certain face this assumption is not      */
   2629     /* true, the m is just rendered like before.  In addition, any stem   */
   2630     /* correction will only be applied to symmetrical glyphs (even if the */
   2631     /* glyph is not an m), so the potential for unwanted distortion is    */
   2632     /* relatively low.                                                    */
   2633 
   2634     /* We don't handle horizontal edges since we can't easily assure that */
   2635     /* the third (lowest) stem aligns with the base line; it might end up */
   2636     /* one pixel higher or lower.                                         */
   2637 
   2638     n_edges = edge_limit - edges;
   2639     if ( dim == AF_DIMENSION_HORZ && ( n_edges == 6 || n_edges == 12 ) )
   2640     {
   2641       AF_Edge  edge1, edge2, edge3;
   2642       FT_Pos   dist1, dist2, span, delta;
   2643 
   2644 
   2645       if ( n_edges == 6 )
   2646       {
   2647         edge1 = edges;
   2648         edge2 = edges + 2;
   2649         edge3 = edges + 4;
   2650       }
   2651       else
   2652       {
   2653         edge1 = edges + 1;
   2654         edge2 = edges + 5;
   2655         edge3 = edges + 9;
   2656       }
   2657 
   2658       dist1 = edge2->opos - edge1->opos;
   2659       dist2 = edge3->opos - edge2->opos;
   2660 
   2661       span = dist1 - dist2;
   2662       if ( span < 0 )
   2663         span = -span;
   2664 
   2665       if ( span < 8 )
   2666       {
   2667         delta = edge3->pos - ( 2 * edge2->pos - edge1->pos );
   2668         edge3->pos -= delta;
   2669         if ( edge3->link )
   2670           edge3->link->pos -= delta;
   2671 
   2672         /* move the serifs along with the stem */
   2673         if ( n_edges == 12 )
   2674         {
   2675           ( edges + 8 )->pos -= delta;
   2676           ( edges + 11 )->pos -= delta;
   2677         }
   2678 
   2679         edge3->flags |= AF_EDGE_DONE;
   2680         if ( edge3->link )
   2681           edge3->link->flags |= AF_EDGE_DONE;
   2682       }
   2683     }
   2684 
   2685     if ( has_serifs || !anchor )
   2686     {
   2687       /*
   2688        *  now hint the remaining edges (serifs and single) in order
   2689        *  to complete our processing
   2690        */
   2691       for ( edge = edges; edge < edge_limit; edge++ )
   2692       {
   2693         FT_Pos  delta;
   2694 
   2695 
   2696         if ( edge->flags & AF_EDGE_DONE )
   2697           continue;
   2698 
   2699         delta = 1000;
   2700 
   2701         if ( edge->serif )
   2702         {
   2703           delta = edge->serif->opos - edge->opos;
   2704           if ( delta < 0 )
   2705             delta = -delta;
   2706         }
   2707 
   2708         if ( delta < 64 + 16 )
   2709         {
   2710           af_latin_align_serif_edge( hints, edge->serif, edge );
   2711           FT_TRACE5(( "  SERIF: edge %d (opos=%.2f) serif to %d (opos=%.2f)"
   2712                       " aligned to %.2f\n",
   2713                       edge - edges, edge->opos / 64.0,
   2714                       edge->serif - edges, edge->serif->opos / 64.0,
   2715                       edge->pos / 64.0 ));
   2716         }
   2717         else if ( !anchor )
   2718         {
   2719           edge->pos = FT_PIX_ROUND( edge->opos );
   2720           anchor    = edge;
   2721           FT_TRACE5(( "  SERIF_ANCHOR: edge %d (opos=%.2f)"
   2722                       " snapped to %.2f\n",
   2723                       edge-edges, edge->opos / 64.0, edge->pos / 64.0 ));
   2724         }
   2725         else
   2726         {
   2727           AF_Edge  before, after;
   2728 
   2729 
   2730           for ( before = edge - 1; before >= edges; before-- )
   2731             if ( before->flags & AF_EDGE_DONE )
   2732               break;
   2733 
   2734           for ( after = edge + 1; after < edge_limit; after++ )
   2735             if ( after->flags & AF_EDGE_DONE )
   2736               break;
   2737 
   2738           if ( before >= edges && before < edge   &&
   2739                after < edge_limit && after > edge )
   2740           {
   2741             if ( after->opos == before->opos )
   2742               edge->pos = before->pos;
   2743             else
   2744               edge->pos = before->pos +
   2745                           FT_MulDiv( edge->opos - before->opos,
   2746                                      after->pos - before->pos,
   2747                                      after->opos - before->opos );
   2748 
   2749             FT_TRACE5(( "  SERIF_LINK1: edge %d (opos=%.2f) snapped to %.2f"
   2750                         " from %d (opos=%.2f)\n",
   2751                         edge - edges, edge->opos / 64.0,
   2752                         edge->pos / 64.0,
   2753                         before - edges, before->opos / 64.0 ));
   2754           }
   2755           else
   2756           {
   2757             edge->pos = anchor->pos +
   2758                         ( ( edge->opos - anchor->opos + 16 ) & ~31 );
   2759             FT_TRACE5(( "  SERIF_LINK2: edge %d (opos=%.2f)"
   2760                         " snapped to %.2f\n",
   2761                         edge - edges, edge->opos / 64.0, edge->pos / 64.0 ));
   2762           }
   2763         }
   2764 
   2765 #ifdef FT_DEBUG_LEVEL_TRACE
   2766         num_actions++;
   2767 #endif
   2768         edge->flags |= AF_EDGE_DONE;
   2769 
   2770         if ( edge > edges && edge->pos < edge[-1].pos )
   2771         {
   2772 #ifdef FT_DEBUG_LEVEL_TRACE
   2773           FT_TRACE5(( "  BOUND: edge %d (pos=%.2f) moved to %.2f\n",
   2774                       edge - edges, edge->pos / 64.0, edge[-1].pos / 64.0 ));
   2775 
   2776           num_actions++;
   2777 #endif
   2778           edge->pos = edge[-1].pos;
   2779         }
   2780 
   2781         if ( edge + 1 < edge_limit        &&
   2782              edge[1].flags & AF_EDGE_DONE &&
   2783              edge->pos > edge[1].pos      )
   2784         {
   2785 #ifdef FT_DEBUG_LEVEL_TRACE
   2786           FT_TRACE5(( "  BOUND: edge %d (pos=%.2f) moved to %.2f\n",
   2787                       edge - edges, edge->pos / 64.0, edge[1].pos / 64.0 ));
   2788 
   2789           num_actions++;
   2790 #endif
   2791 
   2792           edge->pos = edge[1].pos;
   2793         }
   2794       }
   2795     }
   2796 
   2797 #ifdef FT_DEBUG_LEVEL_TRACE
   2798     if ( !num_actions )
   2799       FT_TRACE5(( "  (none)\n" ));
   2800     FT_TRACE5(( "\n" ));
   2801 #endif
   2802   }
   2803 
   2804 
   2805   /* Apply the complete hinting algorithm to a latin glyph. */
   2806 
   2807   static FT_Error
   2808   af_latin_hints_apply( AF_GlyphHints    hints,
   2809                         FT_Outline*      outline,
   2810                         AF_LatinMetrics  metrics )
   2811   {
   2812     FT_Error  error;
   2813     int       dim;
   2814 
   2815     AF_LatinAxis  axis;
   2816 
   2817 
   2818     error = af_glyph_hints_reload( hints, outline );
   2819     if ( error )
   2820       goto Exit;
   2821 
   2822     /* analyze glyph outline */
   2823 #ifdef AF_CONFIG_OPTION_USE_WARPER
   2824     if ( ( metrics->root.scaler.render_mode == FT_RENDER_MODE_LIGHT &&
   2825            AF_HINTS_DO_WARP( hints )                                ) ||
   2826          AF_HINTS_DO_HORIZONTAL( hints )                              )
   2827 #else
   2828     if ( AF_HINTS_DO_HORIZONTAL( hints ) )
   2829 #endif
   2830     {
   2831       axis  = &metrics->axis[AF_DIMENSION_HORZ];
   2832       error = af_latin_hints_detect_features( hints,
   2833                                               axis->width_count,
   2834                                               axis->widths,
   2835                                               AF_DIMENSION_HORZ );
   2836       if ( error )
   2837         goto Exit;
   2838     }
   2839 
   2840     if ( AF_HINTS_DO_VERTICAL( hints ) )
   2841     {
   2842       axis  = &metrics->axis[AF_DIMENSION_VERT];
   2843       error = af_latin_hints_detect_features( hints,
   2844                                               axis->width_count,
   2845                                               axis->widths,
   2846                                               AF_DIMENSION_VERT );
   2847       if ( error )
   2848         goto Exit;
   2849 
   2850       af_latin_hints_compute_blue_edges( hints, metrics );
   2851     }
   2852 
   2853     /* grid-fit the outline */
   2854     for ( dim = 0; dim < AF_DIMENSION_MAX; dim++ )
   2855     {
   2856 #ifdef AF_CONFIG_OPTION_USE_WARPER
   2857       if ( dim == AF_DIMENSION_HORZ                                 &&
   2858            metrics->root.scaler.render_mode == FT_RENDER_MODE_LIGHT &&
   2859            AF_HINTS_DO_WARP( hints )                                )
   2860       {
   2861         AF_WarperRec  warper;
   2862         FT_Fixed      scale;
   2863         FT_Pos        delta;
   2864 
   2865 
   2866         af_warper_compute( &warper, hints, (AF_Dimension)dim,
   2867                            &scale, &delta );
   2868         af_glyph_hints_scale_dim( hints, (AF_Dimension)dim,
   2869                                   scale, delta );
   2870         continue;
   2871       }
   2872 #endif /* AF_CONFIG_OPTION_USE_WARPER */
   2873 
   2874       if ( ( dim == AF_DIMENSION_HORZ && AF_HINTS_DO_HORIZONTAL( hints ) ) ||
   2875            ( dim == AF_DIMENSION_VERT && AF_HINTS_DO_VERTICAL( hints ) )   )
   2876       {
   2877         af_latin_hint_edges( hints, (AF_Dimension)dim );
   2878         af_glyph_hints_align_edge_points( hints, (AF_Dimension)dim );
   2879         af_glyph_hints_align_strong_points( hints, (AF_Dimension)dim );
   2880         af_glyph_hints_align_weak_points( hints, (AF_Dimension)dim );
   2881       }
   2882     }
   2883 
   2884     af_glyph_hints_save( hints, outline );
   2885 
   2886   Exit:
   2887     return error;
   2888   }
   2889 
   2890 
   2891   /*************************************************************************/
   2892   /*************************************************************************/
   2893   /*****                                                               *****/
   2894   /*****              L A T I N   S C R I P T   C L A S S              *****/
   2895   /*****                                                               *****/
   2896   /*************************************************************************/
   2897   /*************************************************************************/
   2898 
   2899 
   2900   AF_DEFINE_WRITING_SYSTEM_CLASS(
   2901     af_latin_writing_system_class,
   2902 
   2903     AF_WRITING_SYSTEM_LATIN,
   2904 
   2905     sizeof ( AF_LatinMetricsRec ),
   2906 
   2907     (AF_WritingSystem_InitMetricsFunc) af_latin_metrics_init,
   2908     (AF_WritingSystem_ScaleMetricsFunc)af_latin_metrics_scale,
   2909     (AF_WritingSystem_DoneMetricsFunc) NULL,
   2910 
   2911     (AF_WritingSystem_InitHintsFunc)   af_latin_hints_init,
   2912     (AF_WritingSystem_ApplyHintsFunc)  af_latin_hints_apply
   2913   )
   2914 
   2915 
   2916 /* END */
   2917