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      1 /***************************************************************************/
      2 /*                                                                         */
      3 /*  aflatin.c                                                              */
      4 /*                                                                         */
      5 /*    Auto-fitter hinting routines for latin writing system (body).        */
      6 /*                                                                         */
      7 /*  Copyright 2003-2016 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   /* needed for computation of round vs. flat segments */
     45 #define FLAT_THRESHOLD( x )  ( x / 14 )
     46 
     47 
     48   /*************************************************************************/
     49   /*************************************************************************/
     50   /*****                                                               *****/
     51   /*****            L A T I N   G L O B A L   M E T R I C S            *****/
     52   /*****                                                               *****/
     53   /*************************************************************************/
     54   /*************************************************************************/
     55 
     56 
     57   /* Find segments and links, compute all stem widths, and initialize */
     58   /* standard width and height for the glyph with given charcode.     */
     59 
     60   FT_LOCAL_DEF( void )
     61   af_latin_metrics_init_widths( AF_LatinMetrics  metrics,
     62                                 FT_Face          face )
     63   {
     64     /* scan the array of segments in each direction */
     65     AF_GlyphHintsRec  hints[1];
     66 
     67 
     68     FT_TRACE5(( "\n"
     69                 "latin standard widths computation (style `%s')\n"
     70                 "=====================================================\n"
     71                 "\n",
     72                 af_style_names[metrics->root.style_class->style] ));
     73 
     74     af_glyph_hints_init( hints, face->memory );
     75 
     76     metrics->axis[AF_DIMENSION_HORZ].width_count = 0;
     77     metrics->axis[AF_DIMENSION_VERT].width_count = 0;
     78 
     79     {
     80       FT_Error            error;
     81       FT_ULong            glyph_index;
     82       int                 dim;
     83       AF_LatinMetricsRec  dummy[1];
     84       AF_Scaler           scaler = &dummy->root.scaler;
     85 
     86 #ifdef FT_CONFIG_OPTION_PIC
     87       AF_FaceGlobals  globals = metrics->root.globals;
     88 #endif
     89 
     90       AF_StyleClass   style_class  = metrics->root.style_class;
     91       AF_ScriptClass  script_class = AF_SCRIPT_CLASSES_GET
     92                                        [style_class->script];
     93 
     94       void*        shaper_buf;
     95       const char*  p;
     96 
     97 #ifdef FT_DEBUG_LEVEL_TRACE
     98       FT_ULong  ch = 0;
     99 #endif
    100 
    101       p          = script_class->standard_charstring;
    102       shaper_buf = af_shaper_buf_create( face );
    103 
    104       /*
    105        * We check a list of standard characters to catch features like
    106        * `c2sc' (small caps from caps) that don't contain lowercase letters
    107        * by definition, or other features that mainly operate on numerals.
    108        * The first match wins.
    109        */
    110 
    111       glyph_index = 0;
    112       while ( *p )
    113       {
    114         unsigned int  num_idx;
    115 
    116 #ifdef FT_DEBUG_LEVEL_TRACE
    117         const char*  p_old;
    118 #endif
    119 
    120 
    121         while ( *p == ' ' )
    122           p++;
    123 
    124 #ifdef FT_DEBUG_LEVEL_TRACE
    125         p_old = p;
    126         GET_UTF8_CHAR( ch, p_old );
    127 #endif
    128 
    129         /* reject input that maps to more than a single glyph */
    130         p = af_shaper_get_cluster( p, &metrics->root, shaper_buf, &num_idx );
    131         if ( num_idx > 1 )
    132           continue;
    133 
    134         /* otherwise exit loop if we have a result */
    135         glyph_index = af_shaper_get_elem( &metrics->root,
    136                                           shaper_buf,
    137                                           0,
    138                                           NULL,
    139                                           NULL );
    140         if ( glyph_index )
    141           break;
    142       }
    143 
    144       af_shaper_buf_destroy( face, shaper_buf );
    145 
    146       if ( !glyph_index )
    147         goto Exit;
    148 
    149       FT_TRACE5(( "standard character: U+%04lX (glyph index %d)\n",
    150                   ch, glyph_index ));
    151 
    152       error = FT_Load_Glyph( face, glyph_index, FT_LOAD_NO_SCALE );
    153       if ( error || face->glyph->outline.n_points <= 0 )
    154         goto Exit;
    155 
    156       FT_ZERO( dummy );
    157 
    158       dummy->units_per_em = metrics->units_per_em;
    159 
    160       scaler->x_scale = 0x10000L;
    161       scaler->y_scale = 0x10000L;
    162       scaler->x_delta = 0;
    163       scaler->y_delta = 0;
    164 
    165       scaler->face        = face;
    166       scaler->render_mode = FT_RENDER_MODE_NORMAL;
    167       scaler->flags       = 0;
    168 
    169       af_glyph_hints_rescale( hints, (AF_StyleMetrics)dummy );
    170 
    171       error = af_glyph_hints_reload( hints, &face->glyph->outline );
    172       if ( error )
    173         goto Exit;
    174 
    175       for ( dim = 0; dim < AF_DIMENSION_MAX; dim++ )
    176       {
    177         AF_LatinAxis  axis    = &metrics->axis[dim];
    178         AF_AxisHints  axhints = &hints->axis[dim];
    179         AF_Segment    seg, limit, link;
    180         FT_UInt       num_widths = 0;
    181 
    182 
    183         error = af_latin_hints_compute_segments( hints,
    184                                                  (AF_Dimension)dim );
    185         if ( error )
    186           goto Exit;
    187 
    188         /*
    189          *  We assume that the glyphs selected for the stem width
    190          *  computation are `featureless' enough so that the linking
    191          *  algorithm works fine without adjustments of its scoring
    192          *  function.
    193          */
    194         af_latin_hints_link_segments( hints,
    195                                       0,
    196                                       NULL,
    197                                       (AF_Dimension)dim );
    198 
    199         seg   = axhints->segments;
    200         limit = seg + axhints->num_segments;
    201 
    202         for ( ; seg < limit; seg++ )
    203         {
    204           link = seg->link;
    205 
    206           /* we only consider stem segments there! */
    207           if ( link && link->link == seg && link > seg )
    208           {
    209             FT_Pos  dist;
    210 
    211 
    212             dist = seg->pos - link->pos;
    213             if ( dist < 0 )
    214               dist = -dist;
    215 
    216             if ( num_widths < AF_LATIN_MAX_WIDTHS )
    217               axis->widths[num_widths++].org = dist;
    218           }
    219         }
    220 
    221         /* this also replaces multiple almost identical stem widths */
    222         /* with a single one (the value 100 is heuristic)           */
    223         af_sort_and_quantize_widths( &num_widths, axis->widths,
    224                                      dummy->units_per_em / 100 );
    225         axis->width_count = num_widths;
    226       }
    227 
    228     Exit:
    229       for ( dim = 0; dim < AF_DIMENSION_MAX; dim++ )
    230       {
    231         AF_LatinAxis  axis = &metrics->axis[dim];
    232         FT_Pos        stdw;
    233 
    234 
    235         stdw = ( axis->width_count > 0 ) ? axis->widths[0].org
    236                                          : AF_LATIN_CONSTANT( metrics, 50 );
    237 
    238         /* let's try 20% of the smallest width */
    239         axis->edge_distance_threshold = stdw / 5;
    240         axis->standard_width          = stdw;
    241         axis->extra_light             = 0;
    242 
    243 #ifdef FT_DEBUG_LEVEL_TRACE
    244         {
    245           FT_UInt  i;
    246 
    247 
    248           FT_TRACE5(( "%s widths:\n",
    249                       dim == AF_DIMENSION_VERT ? "horizontal"
    250                                                : "vertical" ));
    251 
    252           FT_TRACE5(( "  %d (standard)", axis->standard_width ));
    253           for ( i = 1; i < axis->width_count; i++ )
    254             FT_TRACE5(( " %d", axis->widths[i].org ));
    255 
    256           FT_TRACE5(( "\n" ));
    257         }
    258 #endif
    259       }
    260     }
    261 
    262     FT_TRACE5(( "\n" ));
    263 
    264     af_glyph_hints_done( hints );
    265   }
    266 
    267 
    268   /* Find all blue zones.  Flat segments give the reference points, */
    269   /* round segments the overshoot positions.                        */
    270 
    271   static void
    272   af_latin_metrics_init_blues( AF_LatinMetrics  metrics,
    273                                FT_Face          face )
    274   {
    275     FT_Pos        flats [AF_BLUE_STRING_MAX_LEN];
    276     FT_Pos        rounds[AF_BLUE_STRING_MAX_LEN];
    277 
    278     FT_UInt       num_flats;
    279     FT_UInt       num_rounds;
    280 
    281     AF_LatinBlue  blue;
    282     FT_Error      error;
    283     AF_LatinAxis  axis = &metrics->axis[AF_DIMENSION_VERT];
    284     FT_Outline    outline;
    285 
    286     AF_StyleClass  sc = metrics->root.style_class;
    287 
    288     AF_Blue_Stringset         bss = sc->blue_stringset;
    289     const AF_Blue_StringRec*  bs  = &af_blue_stringsets[bss];
    290 
    291     FT_Pos  flat_threshold = FLAT_THRESHOLD( metrics->units_per_em );
    292 
    293     void*  shaper_buf;
    294 
    295 
    296     /* we walk over the blue character strings as specified in the */
    297     /* style's entry in the `af_blue_stringset' array              */
    298 
    299     FT_TRACE5(( "latin blue zones computation\n"
    300                 "============================\n"
    301                 "\n" ));
    302 
    303     shaper_buf = af_shaper_buf_create( face );
    304 
    305     for ( ; bs->string != AF_BLUE_STRING_MAX; bs++ )
    306     {
    307       const char*  p = &af_blue_strings[bs->string];
    308       FT_Pos*      blue_ref;
    309       FT_Pos*      blue_shoot;
    310       FT_Pos       ascender;
    311       FT_Pos       descender;
    312 
    313 
    314 #ifdef FT_DEBUG_LEVEL_TRACE
    315       {
    316         FT_Bool  have_flag = 0;
    317 
    318 
    319         FT_TRACE5(( "blue zone %d", axis->blue_count ));
    320 
    321         if ( bs->properties )
    322         {
    323           FT_TRACE5(( " (" ));
    324 
    325           if ( AF_LATIN_IS_TOP_BLUE( bs ) )
    326           {
    327             FT_TRACE5(( "top" ));
    328             have_flag = 1;
    329           }
    330           else if ( AF_LATIN_IS_SUB_TOP_BLUE( bs ) )
    331           {
    332             FT_TRACE5(( "sub top" ));
    333             have_flag = 1;
    334           }
    335 
    336           if ( AF_LATIN_IS_NEUTRAL_BLUE( bs ) )
    337           {
    338             if ( have_flag )
    339               FT_TRACE5(( ", " ));
    340             FT_TRACE5(( "neutral" ));
    341             have_flag = 1;
    342           }
    343 
    344           if ( AF_LATIN_IS_X_HEIGHT_BLUE( bs ) )
    345           {
    346             if ( have_flag )
    347               FT_TRACE5(( ", " ));
    348             FT_TRACE5(( "small top" ));
    349             have_flag = 1;
    350           }
    351 
    352           if ( AF_LATIN_IS_LONG_BLUE( bs ) )
    353           {
    354             if ( have_flag )
    355               FT_TRACE5(( ", " ));
    356             FT_TRACE5(( "long" ));
    357           }
    358 
    359           FT_TRACE5(( ")" ));
    360         }
    361 
    362         FT_TRACE5(( ":\n" ));
    363       }
    364 #endif /* FT_DEBUG_LEVEL_TRACE */
    365 
    366       num_flats  = 0;
    367       num_rounds = 0;
    368       ascender   = 0;
    369       descender  = 0;
    370 
    371       while ( *p )
    372       {
    373         FT_ULong    glyph_index;
    374         FT_Long     y_offset;
    375         FT_Int      best_point, best_contour_first, best_contour_last;
    376         FT_Vector*  points;
    377 
    378         FT_Pos   best_y_extremum;                      /* same as points.y */
    379         FT_Bool  best_round = 0;
    380 
    381         unsigned int  i, num_idx;
    382 
    383 #ifdef FT_DEBUG_LEVEL_TRACE
    384         const char*  p_old;
    385         FT_ULong     ch;
    386 #endif
    387 
    388 
    389         while ( *p == ' ' )
    390           p++;
    391 
    392 #ifdef FT_DEBUG_LEVEL_TRACE
    393         p_old = p;
    394         GET_UTF8_CHAR( ch, p_old );
    395 #endif
    396 
    397         p = af_shaper_get_cluster( p, &metrics->root, shaper_buf, &num_idx );
    398 
    399         if ( !num_idx )
    400         {
    401           FT_TRACE5(( "  U+%04lX unavailable\n", ch ));
    402           continue;
    403         }
    404 
    405         if ( AF_LATIN_IS_TOP_BLUE( bs ) )
    406           best_y_extremum = FT_INT_MIN;
    407         else
    408           best_y_extremum = FT_INT_MAX;
    409 
    410         /* iterate over all glyph elements of the character cluster */
    411         /* and get the data of the `biggest' one                    */
    412         for ( i = 0; i < num_idx; i++ )
    413         {
    414           FT_Pos   best_y;
    415           FT_Bool  round = 0;
    416 
    417 
    418           /* load the character in the face -- skip unknown or empty ones */
    419           glyph_index = af_shaper_get_elem( &metrics->root,
    420                                             shaper_buf,
    421                                             i,
    422                                             NULL,
    423                                             &y_offset );
    424           if ( glyph_index == 0 )
    425           {
    426             FT_TRACE5(( "  U+%04lX unavailable\n", ch ));
    427             continue;
    428           }
    429 
    430           error   = FT_Load_Glyph( face, glyph_index, FT_LOAD_NO_SCALE );
    431           outline = face->glyph->outline;
    432           /* reject glyphs that don't produce any rendering */
    433           if ( error || outline.n_points <= 2 )
    434           {
    435 #ifdef FT_DEBUG_LEVEL_TRACE
    436             if ( num_idx == 1 )
    437               FT_TRACE5(( "  U+%04lX contains no (usable) outlines\n", ch ));
    438             else
    439               FT_TRACE5(( "  component %d of cluster starting with U+%04lX"
    440                           " contains no (usable) outlines\n", i, ch ));
    441 #endif
    442             continue;
    443           }
    444 
    445           /* now compute min or max point indices and coordinates */
    446           points             = outline.points;
    447           best_point         = -1;
    448           best_y             = 0;  /* make compiler happy */
    449           best_contour_first = 0;  /* ditto */
    450           best_contour_last  = 0;  /* ditto */
    451 
    452           {
    453             FT_Int  nn;
    454             FT_Int  first = 0;
    455             FT_Int  last  = -1;
    456 
    457 
    458             for ( nn = 0; nn < outline.n_contours; first = last + 1, nn++ )
    459             {
    460               FT_Int  old_best_point = best_point;
    461               FT_Int  pp;
    462 
    463 
    464               last = outline.contours[nn];
    465 
    466               /* Avoid single-point contours since they are never      */
    467               /* rasterized.  In some fonts, they correspond to mark   */
    468               /* attachment points that are way outside of the glyph's */
    469               /* real outline.                                         */
    470               if ( last <= first )
    471                 continue;
    472 
    473               if ( AF_LATIN_IS_TOP_BLUE( bs )     ||
    474                    AF_LATIN_IS_SUB_TOP_BLUE( bs ) )
    475               {
    476                 for ( pp = first; pp <= last; pp++ )
    477                 {
    478                   if ( best_point < 0 || points[pp].y > best_y )
    479                   {
    480                     best_point = pp;
    481                     best_y     = points[pp].y;
    482                     ascender   = FT_MAX( ascender, best_y + y_offset );
    483                   }
    484                   else
    485                     descender = FT_MIN( descender, points[pp].y + y_offset );
    486                 }
    487               }
    488               else
    489               {
    490                 for ( pp = first; pp <= last; pp++ )
    491                 {
    492                   if ( best_point < 0 || points[pp].y < best_y )
    493                   {
    494                     best_point = pp;
    495                     best_y     = points[pp].y;
    496                     descender  = FT_MIN( descender, best_y + y_offset );
    497                   }
    498                   else
    499                     ascender = FT_MAX( ascender, points[pp].y + y_offset );
    500                 }
    501               }
    502 
    503               if ( best_point != old_best_point )
    504               {
    505                 best_contour_first = first;
    506                 best_contour_last  = last;
    507               }
    508             }
    509           }
    510 
    511           /* now check whether the point belongs to a straight or round   */
    512           /* segment; we first need to find in which contour the extremum */
    513           /* lies, then inspect its previous and next points              */
    514           if ( best_point >= 0 )
    515           {
    516             FT_Pos  best_x = points[best_point].x;
    517             FT_Int  prev, next;
    518             FT_Int  best_segment_first, best_segment_last;
    519             FT_Int  best_on_point_first, best_on_point_last;
    520             FT_Pos  dist;
    521 
    522 
    523             best_segment_first = best_point;
    524             best_segment_last  = best_point;
    525 
    526             if ( FT_CURVE_TAG( outline.tags[best_point] ) == FT_CURVE_TAG_ON )
    527             {
    528               best_on_point_first = best_point;
    529               best_on_point_last  = best_point;
    530             }
    531             else
    532             {
    533               best_on_point_first = -1;
    534               best_on_point_last  = -1;
    535             }
    536 
    537             /* look for the previous and next points on the contour  */
    538             /* that are not on the same Y coordinate, then threshold */
    539             /* the `closeness'...                                    */
    540             prev = best_point;
    541             next = prev;
    542 
    543             do
    544             {
    545               if ( prev > best_contour_first )
    546                 prev--;
    547               else
    548                 prev = best_contour_last;
    549 
    550               dist = FT_ABS( points[prev].y - best_y );
    551               /* accept a small distance or a small angle (both values are */
    552               /* heuristic; value 20 corresponds to approx. 2.9 degrees)   */
    553               if ( dist > 5 )
    554                 if ( FT_ABS( points[prev].x - best_x ) <= 20 * dist )
    555                   break;
    556 
    557               best_segment_first = prev;
    558 
    559               if ( FT_CURVE_TAG( outline.tags[prev] ) == FT_CURVE_TAG_ON )
    560               {
    561                 best_on_point_first = prev;
    562                 if ( best_on_point_last < 0 )
    563                   best_on_point_last = prev;
    564               }
    565 
    566             } while ( prev != best_point );
    567 
    568             do
    569             {
    570               if ( next < best_contour_last )
    571                 next++;
    572               else
    573                 next = best_contour_first;
    574 
    575               dist = FT_ABS( points[next].y - best_y );
    576               if ( dist > 5 )
    577                 if ( FT_ABS( points[next].x - best_x ) <= 20 * dist )
    578                   break;
    579 
    580               best_segment_last = next;
    581 
    582               if ( FT_CURVE_TAG( outline.tags[next] ) == FT_CURVE_TAG_ON )
    583               {
    584                 best_on_point_last = next;
    585                 if ( best_on_point_first < 0 )
    586                   best_on_point_first = next;
    587               }
    588 
    589             } while ( next != best_point );
    590 
    591             if ( AF_LATIN_IS_LONG_BLUE( bs ) )
    592             {
    593               /* If this flag is set, we have an additional constraint to  */
    594               /* get the blue zone distance: Find a segment of the topmost */
    595               /* (or bottommost) contour that is longer than a heuristic   */
    596               /* threshold.  This ensures that small bumps in the outline  */
    597               /* are ignored (for example, the `vertical serifs' found in  */
    598               /* many Hebrew glyph designs).                               */
    599 
    600               /* If this segment is long enough, we are done.  Otherwise,  */
    601               /* search the segment next to the extremum that is long      */
    602               /* enough, has the same direction, and a not too large       */
    603               /* vertical distance from the extremum.  Note that the       */
    604               /* algorithm doesn't check whether the found segment is      */
    605               /* actually the one (vertically) nearest to the extremum.    */
    606 
    607               /* heuristic threshold value */
    608               FT_Pos  length_threshold = metrics->units_per_em / 25;
    609 
    610 
    611               dist = FT_ABS( points[best_segment_last].x -
    612                                points[best_segment_first].x );
    613 
    614               if ( dist < length_threshold                       &&
    615                    best_segment_last - best_segment_first + 2 <=
    616                      best_contour_last - best_contour_first      )
    617               {
    618                 /* heuristic threshold value */
    619                 FT_Pos  height_threshold = metrics->units_per_em / 4;
    620 
    621                 FT_Int   first;
    622                 FT_Int   last;
    623                 FT_Bool  hit;
    624 
    625                 /* we intentionally declare these two variables        */
    626                 /* outside of the loop since various compilers emit    */
    627                 /* incorrect warning messages otherwise, talking about */
    628                 /* `possibly uninitialized variables'                  */
    629                 FT_Int  p_first = 0;            /* make compiler happy */
    630                 FT_Int  p_last  = 0;
    631 
    632                 FT_Bool  left2right;
    633 
    634 
    635                 /* compute direction */
    636                 prev = best_point;
    637 
    638                 do
    639                 {
    640                   if ( prev > best_contour_first )
    641                     prev--;
    642                   else
    643                     prev = best_contour_last;
    644 
    645                   if ( points[prev].x != best_x )
    646                     break;
    647 
    648                 } while ( prev != best_point );
    649 
    650                 /* skip glyph for the degenerate case */
    651                 if ( prev == best_point )
    652                   continue;
    653 
    654                 left2right = FT_BOOL( points[prev].x < points[best_point].x );
    655 
    656                 first = best_segment_last;
    657                 last  = first;
    658                 hit   = 0;
    659 
    660                 do
    661                 {
    662                   FT_Bool  l2r;
    663                   FT_Pos   d;
    664 
    665 
    666                   if ( !hit )
    667                   {
    668                     /* no hit; adjust first point */
    669                     first = last;
    670 
    671                     /* also adjust first and last on point */
    672                     if ( FT_CURVE_TAG( outline.tags[first] ) ==
    673                            FT_CURVE_TAG_ON )
    674                     {
    675                       p_first = first;
    676                       p_last  = first;
    677                     }
    678                     else
    679                     {
    680                       p_first = -1;
    681                       p_last  = -1;
    682                     }
    683 
    684                     hit = 1;
    685                   }
    686 
    687                   if ( last < best_contour_last )
    688                     last++;
    689                   else
    690                     last = best_contour_first;
    691 
    692                   if ( FT_ABS( best_y - points[first].y ) > height_threshold )
    693                   {
    694                     /* vertical distance too large */
    695                     hit = 0;
    696                     continue;
    697                   }
    698 
    699                   /* same test as above */
    700                   dist = FT_ABS( points[last].y - points[first].y );
    701                   if ( dist > 5 )
    702                     if ( FT_ABS( points[last].x - points[first].x ) <=
    703                            20 * dist )
    704                     {
    705                       hit = 0;
    706                       continue;
    707                     }
    708 
    709                   if ( FT_CURVE_TAG( outline.tags[last] ) == FT_CURVE_TAG_ON )
    710                   {
    711                     p_last = last;
    712                     if ( p_first < 0 )
    713                       p_first = last;
    714                   }
    715 
    716                   l2r = FT_BOOL( points[first].x < points[last].x );
    717                   d   = FT_ABS( points[last].x - points[first].x );
    718 
    719                   if ( l2r == left2right     &&
    720                        d >= length_threshold )
    721                   {
    722                     /* all constraints are met; update segment after */
    723                     /* finding its end                               */
    724                     do
    725                     {
    726                       if ( last < best_contour_last )
    727                         last++;
    728                       else
    729                         last = best_contour_first;
    730 
    731                       d = FT_ABS( points[last].y - points[first].y );
    732                       if ( d > 5 )
    733                         if ( FT_ABS( points[next].x - points[first].x ) <=
    734                                20 * dist )
    735                         {
    736                           if ( last > best_contour_first )
    737                             last--;
    738                           else
    739                             last = best_contour_last;
    740                           break;
    741                         }
    742 
    743                       p_last = last;
    744 
    745                       if ( FT_CURVE_TAG( outline.tags[last] ) ==
    746                              FT_CURVE_TAG_ON )
    747                       {
    748                         p_last = last;
    749                         if ( p_first < 0 )
    750                           p_first = last;
    751                       }
    752 
    753                     } while ( last != best_segment_first );
    754 
    755                     best_y = points[first].y;
    756 
    757                     best_segment_first = first;
    758                     best_segment_last  = last;
    759 
    760                     best_on_point_first = p_first;
    761                     best_on_point_last  = p_last;
    762 
    763                     break;
    764                   }
    765 
    766                 } while ( last != best_segment_first );
    767               }
    768             }
    769 
    770             /* for computing blue zones, we add the y offset as returned */
    771             /* by the currently used OpenType feature -- for example,    */
    772             /* superscript glyphs might be identical to subscript glyphs */
    773             /* with a vertical shift                                     */
    774             best_y += y_offset;
    775 
    776 #ifdef FT_DEBUG_LEVEL_TRACE
    777             if ( num_idx == 1 )
    778               FT_TRACE5(( "  U+%04lX: best_y = %5ld", ch, best_y ));
    779             else
    780               FT_TRACE5(( "  component %d of cluster starting with U+%04lX:"
    781                           " best_y = %5ld", i, ch, best_y ));
    782 #endif
    783 
    784             /* now set the `round' flag depending on the segment's kind: */
    785             /*                                                           */
    786             /* - if the horizontal distance between the first and last   */
    787             /*   `on' point is larger than a heuristic threshold         */
    788             /*   we have a flat segment                                  */
    789             /* - if either the first or the last point of the segment is */
    790             /*   an `off' point, the segment is round, otherwise it is   */
    791             /*   flat                                                    */
    792             if ( best_on_point_first >= 0                               &&
    793                  best_on_point_last >= 0                                &&
    794                  ( FT_ABS( points[best_on_point_last].x -
    795                            points[best_on_point_first].x ) ) >
    796                    flat_threshold                                       )
    797               round = 0;
    798             else
    799               round = FT_BOOL(
    800                         FT_CURVE_TAG( outline.tags[best_segment_first] ) !=
    801                           FT_CURVE_TAG_ON                                   ||
    802                         FT_CURVE_TAG( outline.tags[best_segment_last]  ) !=
    803                           FT_CURVE_TAG_ON                                   );
    804 
    805             if ( round && AF_LATIN_IS_NEUTRAL_BLUE( bs ) )
    806             {
    807               /* only use flat segments for a neutral blue zone */
    808               FT_TRACE5(( " (round, skipped)\n" ));
    809               continue;
    810             }
    811 
    812             FT_TRACE5(( " (%s)\n", round ? "round" : "flat" ));
    813           }
    814 
    815           if ( AF_LATIN_IS_TOP_BLUE( bs ) )
    816           {
    817             if ( best_y > best_y_extremum )
    818             {
    819               best_y_extremum = best_y;
    820               best_round      = round;
    821             }
    822           }
    823           else
    824           {
    825             if ( best_y < best_y_extremum )
    826             {
    827               best_y_extremum = best_y;
    828               best_round      = round;
    829             }
    830           }
    831 
    832         } /* end for loop */
    833 
    834         if ( !( best_y_extremum == FT_INT_MIN ||
    835                 best_y_extremum == FT_INT_MAX ) )
    836         {
    837           if ( best_round )
    838             rounds[num_rounds++] = best_y_extremum;
    839           else
    840             flats[num_flats++]   = best_y_extremum;
    841         }
    842 
    843       } /* end while loop */
    844 
    845       if ( num_flats == 0 && num_rounds == 0 )
    846       {
    847         /*
    848          *  we couldn't find a single glyph to compute this blue zone,
    849          *  we will simply ignore it then
    850          */
    851         FT_TRACE5(( "  empty\n" ));
    852         continue;
    853       }
    854 
    855       /* we have computed the contents of the `rounds' and `flats' tables, */
    856       /* now determine the reference and overshoot position of the blue -- */
    857       /* we simply take the median value after a simple sort               */
    858       af_sort_pos( num_rounds, rounds );
    859       af_sort_pos( num_flats,  flats );
    860 
    861       blue       = &axis->blues[axis->blue_count];
    862       blue_ref   = &blue->ref.org;
    863       blue_shoot = &blue->shoot.org;
    864 
    865       axis->blue_count++;
    866 
    867       if ( num_flats == 0 )
    868       {
    869         *blue_ref   =
    870         *blue_shoot = rounds[num_rounds / 2];
    871       }
    872       else if ( num_rounds == 0 )
    873       {
    874         *blue_ref   =
    875         *blue_shoot = flats[num_flats / 2];
    876       }
    877       else
    878       {
    879         *blue_ref   = flats [num_flats  / 2];
    880         *blue_shoot = rounds[num_rounds / 2];
    881       }
    882 
    883       /* there are sometimes problems: if the overshoot position of top     */
    884       /* zones is under its reference position, or the opposite for bottom  */
    885       /* zones.  We must thus check everything there and correct the errors */
    886       if ( *blue_shoot != *blue_ref )
    887       {
    888         FT_Pos   ref      = *blue_ref;
    889         FT_Pos   shoot    = *blue_shoot;
    890         FT_Bool  over_ref = FT_BOOL( shoot > ref );
    891 
    892 
    893         if ( ( AF_LATIN_IS_TOP_BLUE( bs )    ||
    894                AF_LATIN_IS_SUB_TOP_BLUE( bs) ) ^ over_ref )
    895         {
    896           *blue_ref   =
    897           *blue_shoot = ( shoot + ref ) / 2;
    898 
    899           FT_TRACE5(( "  [overshoot smaller than reference,"
    900                       " taking mean value]\n" ));
    901         }
    902       }
    903 
    904       blue->ascender  = ascender;
    905       blue->descender = descender;
    906 
    907       blue->flags = 0;
    908       if ( AF_LATIN_IS_TOP_BLUE( bs ) )
    909         blue->flags |= AF_LATIN_BLUE_TOP;
    910       if ( AF_LATIN_IS_SUB_TOP_BLUE( bs ) )
    911         blue->flags |= AF_LATIN_BLUE_SUB_TOP;
    912       if ( AF_LATIN_IS_NEUTRAL_BLUE( bs ) )
    913         blue->flags |= AF_LATIN_BLUE_NEUTRAL;
    914 
    915       /*
    916        * The following flag is used later to adjust the y and x scales
    917        * in order to optimize the pixel grid alignment of the top of small
    918        * letters.
    919        */
    920       if ( AF_LATIN_IS_X_HEIGHT_BLUE( bs ) )
    921         blue->flags |= AF_LATIN_BLUE_ADJUSTMENT;
    922 
    923       FT_TRACE5(( "    -> reference = %ld\n"
    924                   "       overshoot = %ld\n",
    925                   *blue_ref, *blue_shoot ));
    926 
    927     } /* end for loop */
    928 
    929     af_shaper_buf_destroy( face, shaper_buf );
    930 
    931     FT_TRACE5(( "\n" ));
    932 
    933     return;
    934   }
    935 
    936 
    937   /* Check whether all ASCII digits have the same advance width. */
    938 
    939   FT_LOCAL_DEF( void )
    940   af_latin_metrics_check_digits( AF_LatinMetrics  metrics,
    941                                  FT_Face          face )
    942   {
    943     FT_Bool   started = 0, same_width = 1;
    944     FT_Fixed  advance, old_advance = 0;
    945 
    946     void*  shaper_buf;
    947 
    948     /* in all supported charmaps, digits have character codes 0x30-0x39 */
    949     const char   digits[] = "0 1 2 3 4 5 6 7 8 9";
    950     const char*  p;
    951 
    952 
    953     p          = digits;
    954     shaper_buf = af_shaper_buf_create( face );
    955 
    956     while ( *p )
    957     {
    958       FT_ULong      glyph_index;
    959       unsigned int  num_idx;
    960 
    961 
    962       /* reject input that maps to more than a single glyph */
    963       p = af_shaper_get_cluster( p, &metrics->root, shaper_buf, &num_idx );
    964       if ( num_idx > 1 )
    965         continue;
    966 
    967       glyph_index = af_shaper_get_elem( &metrics->root,
    968                                         shaper_buf,
    969                                         0,
    970                                         &advance,
    971                                         NULL );
    972       if ( !glyph_index )
    973         continue;
    974 
    975       if ( started )
    976       {
    977         if ( advance != old_advance )
    978         {
    979           same_width = 0;
    980           break;
    981         }
    982       }
    983       else
    984       {
    985         old_advance = advance;
    986         started     = 1;
    987       }
    988     }
    989 
    990     af_shaper_buf_destroy( face, shaper_buf );
    991 
    992     metrics->root.digits_have_same_width = same_width;
    993   }
    994 
    995 
    996   /* Initialize global metrics. */
    997 
    998   FT_LOCAL_DEF( FT_Error )
    999   af_latin_metrics_init( AF_LatinMetrics  metrics,
   1000                          FT_Face          face )
   1001   {
   1002     FT_CharMap  oldmap = face->charmap;
   1003 
   1004 
   1005     metrics->units_per_em = face->units_per_EM;
   1006 
   1007     if ( !FT_Select_Charmap( face, FT_ENCODING_UNICODE ) )
   1008     {
   1009       af_latin_metrics_init_widths( metrics, face );
   1010       af_latin_metrics_init_blues( metrics, face );
   1011       af_latin_metrics_check_digits( metrics, face );
   1012     }
   1013 
   1014     FT_Set_Charmap( face, oldmap );
   1015     return FT_Err_Ok;
   1016   }
   1017 
   1018 
   1019   /* Adjust scaling value, then scale and shift widths   */
   1020   /* and blue zones (if applicable) for given dimension. */
   1021 
   1022   static void
   1023   af_latin_metrics_scale_dim( AF_LatinMetrics  metrics,
   1024                               AF_Scaler        scaler,
   1025                               AF_Dimension     dim )
   1026   {
   1027     FT_Fixed      scale;
   1028     FT_Pos        delta;
   1029     AF_LatinAxis  axis;
   1030     FT_UInt       nn;
   1031 
   1032 
   1033     if ( dim == AF_DIMENSION_HORZ )
   1034     {
   1035       scale = scaler->x_scale;
   1036       delta = scaler->x_delta;
   1037     }
   1038     else
   1039     {
   1040       scale = scaler->y_scale;
   1041       delta = scaler->y_delta;
   1042     }
   1043 
   1044     axis = &metrics->axis[dim];
   1045 
   1046     if ( axis->org_scale == scale && axis->org_delta == delta )
   1047       return;
   1048 
   1049     axis->org_scale = scale;
   1050     axis->org_delta = delta;
   1051 
   1052     /*
   1053      * correct X and Y scale to optimize the alignment of the top of small
   1054      * letters to the pixel grid
   1055      */
   1056     {
   1057       AF_LatinAxis  Axis = &metrics->axis[AF_DIMENSION_VERT];
   1058       AF_LatinBlue  blue = NULL;
   1059 
   1060 
   1061       for ( nn = 0; nn < Axis->blue_count; nn++ )
   1062       {
   1063         if ( Axis->blues[nn].flags & AF_LATIN_BLUE_ADJUSTMENT )
   1064         {
   1065           blue = &Axis->blues[nn];
   1066           break;
   1067         }
   1068       }
   1069 
   1070       if ( blue )
   1071       {
   1072         FT_Pos   scaled;
   1073         FT_Pos   threshold;
   1074         FT_Pos   fitted;
   1075         FT_UInt  limit;
   1076         FT_UInt  ppem;
   1077 
   1078 
   1079         scaled    = FT_MulFix( blue->shoot.org, scale );
   1080         ppem      = metrics->root.scaler.face->size->metrics.x_ppem;
   1081         limit     = metrics->root.globals->increase_x_height;
   1082         threshold = 40;
   1083 
   1084         /* if the `increase-x-height' property is active, */
   1085         /* we round up much more often                    */
   1086         if ( limit                                 &&
   1087              ppem <= limit                         &&
   1088              ppem >= AF_PROP_INCREASE_X_HEIGHT_MIN )
   1089           threshold = 52;
   1090 
   1091         fitted = ( scaled + threshold ) & ~63;
   1092 
   1093         if ( scaled != fitted )
   1094         {
   1095 #if 0
   1096           if ( dim == AF_DIMENSION_HORZ )
   1097           {
   1098             if ( fitted < scaled )
   1099               scale -= scale / 50;  /* scale *= 0.98 */
   1100           }
   1101           else
   1102 #endif
   1103           if ( dim == AF_DIMENSION_VERT )
   1104           {
   1105             FT_Pos    max_height;
   1106             FT_Pos    dist;
   1107             FT_Fixed  new_scale;
   1108 
   1109 
   1110             new_scale = FT_MulDiv( scale, fitted, scaled );
   1111 
   1112             /* the scaling should not change the result by more than two pixels */
   1113             max_height = metrics->units_per_em;
   1114 
   1115             for ( nn = 0; nn < Axis->blue_count; nn++ )
   1116             {
   1117               max_height = FT_MAX( max_height, Axis->blues[nn].ascender );
   1118               max_height = FT_MAX( max_height, -Axis->blues[nn].descender );
   1119             }
   1120 
   1121             dist  = FT_ABS( FT_MulFix( max_height, new_scale - scale ) );
   1122             dist &= ~127;
   1123 
   1124             if ( dist == 0 )
   1125             {
   1126               FT_TRACE5((
   1127                 "af_latin_metrics_scale_dim:"
   1128                 " x height alignment (style `%s'):\n"
   1129                 "                           "
   1130                 " vertical scaling changed from %.4f to %.4f (by %d%%)\n"
   1131                 "\n",
   1132                 af_style_names[metrics->root.style_class->style],
   1133                 scale / 65536.0,
   1134                 new_scale / 65536.0,
   1135                 ( fitted - scaled ) * 100 / scaled ));
   1136 
   1137               scale = new_scale;
   1138             }
   1139 #ifdef FT_DEBUG_LEVEL_TRACE
   1140             else
   1141             {
   1142               FT_TRACE5((
   1143                 "af_latin_metrics_scale_dim:"
   1144                 " x height alignment (style `%s'):\n"
   1145                 "                           "
   1146                 " excessive vertical scaling abandoned\n"
   1147                 "\n",
   1148                 af_style_names[metrics->root.style_class->style] ));
   1149             }
   1150 #endif
   1151           }
   1152         }
   1153       }
   1154     }
   1155 
   1156     axis->scale = scale;
   1157     axis->delta = delta;
   1158 
   1159     if ( dim == AF_DIMENSION_HORZ )
   1160     {
   1161       metrics->root.scaler.x_scale = scale;
   1162       metrics->root.scaler.x_delta = delta;
   1163     }
   1164     else
   1165     {
   1166       metrics->root.scaler.y_scale = scale;
   1167       metrics->root.scaler.y_delta = delta;
   1168     }
   1169 
   1170     FT_TRACE5(( "%s widths (style `%s')\n",
   1171                 dim == AF_DIMENSION_HORZ ? "horizontal" : "vertical",
   1172                 af_style_names[metrics->root.style_class->style] ));
   1173 
   1174     /* scale the widths */
   1175     for ( nn = 0; nn < axis->width_count; nn++ )
   1176     {
   1177       AF_Width  width = axis->widths + nn;
   1178 
   1179 
   1180       width->cur = FT_MulFix( width->org, scale );
   1181       width->fit = width->cur;
   1182 
   1183       FT_TRACE5(( "  %d scaled to %.2f\n",
   1184                   width->org,
   1185                   width->cur / 64.0 ));
   1186     }
   1187 
   1188     FT_TRACE5(( "\n" ));
   1189 
   1190     /* an extra-light axis corresponds to a standard width that is */
   1191     /* smaller than 5/8 pixels                                     */
   1192     axis->extra_light =
   1193       (FT_Bool)( FT_MulFix( axis->standard_width, scale ) < 32 + 8 );
   1194 
   1195 #ifdef FT_DEBUG_LEVEL_TRACE
   1196     if ( axis->extra_light )
   1197       FT_TRACE5(( "`%s' style is extra light (at current resolution)\n"
   1198                   "\n",
   1199                   af_style_names[metrics->root.style_class->style] ));
   1200 #endif
   1201 
   1202     if ( dim == AF_DIMENSION_VERT )
   1203     {
   1204 #ifdef FT_DEBUG_LEVEL_TRACE
   1205       if ( axis->blue_count )
   1206         FT_TRACE5(( "blue zones (style `%s')\n",
   1207                     af_style_names[metrics->root.style_class->style] ));
   1208 #endif
   1209 
   1210       /* scale the blue zones */
   1211       for ( nn = 0; nn < axis->blue_count; nn++ )
   1212       {
   1213         AF_LatinBlue  blue = &axis->blues[nn];
   1214         FT_Pos        dist;
   1215 
   1216 
   1217         blue->ref.cur   = FT_MulFix( blue->ref.org, scale ) + delta;
   1218         blue->ref.fit   = blue->ref.cur;
   1219         blue->shoot.cur = FT_MulFix( blue->shoot.org, scale ) + delta;
   1220         blue->shoot.fit = blue->shoot.cur;
   1221         blue->flags    &= ~AF_LATIN_BLUE_ACTIVE;
   1222 
   1223         /* a blue zone is only active if it is less than 3/4 pixels tall */
   1224         dist = FT_MulFix( blue->ref.org - blue->shoot.org, scale );
   1225         if ( dist <= 48 && dist >= -48 )
   1226         {
   1227 #if 0
   1228           FT_Pos  delta1;
   1229 #endif
   1230           FT_Pos  delta2;
   1231 
   1232 
   1233           /* use discrete values for blue zone widths */
   1234 
   1235 #if 0
   1236 
   1237           /* generic, original code */
   1238           delta1 = blue->shoot.org - blue->ref.org;
   1239           delta2 = delta1;
   1240           if ( delta1 < 0 )
   1241             delta2 = -delta2;
   1242 
   1243           delta2 = FT_MulFix( delta2, scale );
   1244 
   1245           if ( delta2 < 32 )
   1246             delta2 = 0;
   1247           else if ( delta2 < 64 )
   1248             delta2 = 32 + ( ( ( delta2 - 32 ) + 16 ) & ~31 );
   1249           else
   1250             delta2 = FT_PIX_ROUND( delta2 );
   1251 
   1252           if ( delta1 < 0 )
   1253             delta2 = -delta2;
   1254 
   1255           blue->ref.fit   = FT_PIX_ROUND( blue->ref.cur );
   1256           blue->shoot.fit = blue->ref.fit + delta2;
   1257 
   1258 #else
   1259 
   1260           /* simplified version due to abs(dist) <= 48 */
   1261           delta2 = dist;
   1262           if ( dist < 0 )
   1263             delta2 = -delta2;
   1264 
   1265           if ( delta2 < 32 )
   1266             delta2 = 0;
   1267           else if ( delta2 < 48 )
   1268             delta2 = 32;
   1269           else
   1270             delta2 = 64;
   1271 
   1272           if ( dist < 0 )
   1273             delta2 = -delta2;
   1274 
   1275           blue->ref.fit   = FT_PIX_ROUND( blue->ref.cur );
   1276           blue->shoot.fit = blue->ref.fit - delta2;
   1277 
   1278 #endif
   1279 
   1280           blue->flags |= AF_LATIN_BLUE_ACTIVE;
   1281         }
   1282       }
   1283 
   1284       /* use sub-top blue zone only if it doesn't overlap with */
   1285       /* another (non-sup-top) blue zone; otherwise, the       */
   1286       /* effect would be similar to a neutral blue zone, which */
   1287       /* is not desired here                                   */
   1288       for ( nn = 0; nn < axis->blue_count; nn++ )
   1289       {
   1290         AF_LatinBlue  blue = &axis->blues[nn];
   1291         FT_UInt       i;
   1292 
   1293 
   1294         if ( !( blue->flags & AF_LATIN_BLUE_SUB_TOP ) )
   1295           continue;
   1296         if ( !( blue->flags & AF_LATIN_BLUE_ACTIVE ) )
   1297           continue;
   1298 
   1299         for ( i = 0; i < axis->blue_count; i++ )
   1300         {
   1301           AF_LatinBlue  b = &axis->blues[i];
   1302 
   1303 
   1304           if ( b->flags & AF_LATIN_BLUE_SUB_TOP )
   1305             continue;
   1306           if ( !( b->flags & AF_LATIN_BLUE_ACTIVE ) )
   1307             continue;
   1308 
   1309           if ( b->ref.fit <= blue->shoot.fit &&
   1310                b->shoot.fit >= blue->ref.fit )
   1311           {
   1312             blue->flags &= ~AF_LATIN_BLUE_ACTIVE;
   1313             break;
   1314           }
   1315         }
   1316       }
   1317 
   1318 #ifdef FT_DEBUG_LEVEL_TRACE
   1319       for ( nn = 0; nn < axis->blue_count; nn++ )
   1320       {
   1321         AF_LatinBlue  blue = &axis->blues[nn];
   1322 
   1323 
   1324         FT_TRACE5(( "  reference %d: %d scaled to %.2f%s\n"
   1325                     "  overshoot %d: %d scaled to %.2f%s\n",
   1326                     nn,
   1327                     blue->ref.org,
   1328                     blue->ref.fit / 64.0,
   1329                     blue->flags & AF_LATIN_BLUE_ACTIVE ? ""
   1330                                                        : " (inactive)",
   1331                     nn,
   1332                     blue->shoot.org,
   1333                     blue->shoot.fit / 64.0,
   1334                     blue->flags & AF_LATIN_BLUE_ACTIVE ? ""
   1335                                                        : " (inactive)" ));
   1336       }
   1337 #endif
   1338     }
   1339   }
   1340 
   1341 
   1342   /* Scale global values in both directions. */
   1343 
   1344   FT_LOCAL_DEF( void )
   1345   af_latin_metrics_scale( AF_LatinMetrics  metrics,
   1346                           AF_Scaler        scaler )
   1347   {
   1348     metrics->root.scaler.render_mode = scaler->render_mode;
   1349     metrics->root.scaler.face        = scaler->face;
   1350     metrics->root.scaler.flags       = scaler->flags;
   1351 
   1352     af_latin_metrics_scale_dim( metrics, scaler, AF_DIMENSION_HORZ );
   1353     af_latin_metrics_scale_dim( metrics, scaler, AF_DIMENSION_VERT );
   1354   }
   1355 
   1356 
   1357   /* Extract standard_width from writing system/script specific */
   1358   /* metrics class.                                             */
   1359 
   1360   FT_LOCAL_DEF( void )
   1361   af_latin_get_standard_widths( AF_LatinMetrics  metrics,
   1362                                 FT_Pos*          stdHW,
   1363                                 FT_Pos*          stdVW )
   1364   {
   1365     if ( stdHW )
   1366       *stdHW = metrics->axis[AF_DIMENSION_VERT].standard_width;
   1367 
   1368     if ( stdVW )
   1369       *stdVW = metrics->axis[AF_DIMENSION_HORZ].standard_width;
   1370   }
   1371 
   1372 
   1373   /*************************************************************************/
   1374   /*************************************************************************/
   1375   /*****                                                               *****/
   1376   /*****           L A T I N   G L Y P H   A N A L Y S I S             *****/
   1377   /*****                                                               *****/
   1378   /*************************************************************************/
   1379   /*************************************************************************/
   1380 
   1381 
   1382   /* Walk over all contours and compute its segments. */
   1383 
   1384   FT_LOCAL_DEF( FT_Error )
   1385   af_latin_hints_compute_segments( AF_GlyphHints  hints,
   1386                                    AF_Dimension   dim )
   1387   {
   1388     AF_LatinMetrics  metrics       = (AF_LatinMetrics)hints->metrics;
   1389     AF_AxisHints     axis          = &hints->axis[dim];
   1390     FT_Memory        memory        = hints->memory;
   1391     FT_Error         error         = FT_Err_Ok;
   1392     AF_Segment       segment       = NULL;
   1393     AF_SegmentRec    seg0;
   1394     AF_Point*        contour       = hints->contours;
   1395     AF_Point*        contour_limit = contour + hints->num_contours;
   1396     AF_Direction     major_dir, segment_dir;
   1397 
   1398     FT_Pos  flat_threshold = FLAT_THRESHOLD( metrics->units_per_em );
   1399 
   1400 
   1401     FT_ZERO( &seg0 );
   1402     seg0.score = 32000;
   1403     seg0.flags = AF_EDGE_NORMAL;
   1404 
   1405     major_dir   = (AF_Direction)FT_ABS( axis->major_dir );
   1406     segment_dir = major_dir;
   1407 
   1408     axis->num_segments = 0;
   1409 
   1410     /* set up (u,v) in each point */
   1411     if ( dim == AF_DIMENSION_HORZ )
   1412     {
   1413       AF_Point  point = hints->points;
   1414       AF_Point  limit = point + hints->num_points;
   1415 
   1416 
   1417       for ( ; point < limit; point++ )
   1418       {
   1419         point->u = point->fx;
   1420         point->v = point->fy;
   1421       }
   1422     }
   1423     else
   1424     {
   1425       AF_Point  point = hints->points;
   1426       AF_Point  limit = point + hints->num_points;
   1427 
   1428 
   1429       for ( ; point < limit; point++ )
   1430       {
   1431         point->u = point->fy;
   1432         point->v = point->fx;
   1433       }
   1434     }
   1435 
   1436     /* do each contour separately */
   1437     for ( ; contour < contour_limit; contour++ )
   1438     {
   1439       AF_Point  point   = contour[0];
   1440       AF_Point  last    = point->prev;
   1441       int       on_edge = 0;
   1442 
   1443       /* we call values measured along a segment (point->v)    */
   1444       /* `coordinates', and values orthogonal to it (point->u) */
   1445       /* `positions'                                           */
   1446       FT_Pos     min_pos      =  32000;
   1447       FT_Pos     max_pos      = -32000;
   1448       FT_Pos     min_coord    =  32000;
   1449       FT_Pos     max_coord    = -32000;
   1450       FT_UShort  min_flags    =  AF_FLAG_NONE;
   1451       FT_UShort  max_flags    =  AF_FLAG_NONE;
   1452       FT_Pos     min_on_coord =  32000;
   1453       FT_Pos     max_on_coord = -32000;
   1454 
   1455       FT_Bool  passed;
   1456 
   1457       AF_Segment  prev_segment = NULL;
   1458 
   1459       FT_Pos     prev_min_pos      = min_pos;
   1460       FT_Pos     prev_max_pos      = max_pos;
   1461       FT_Pos     prev_min_coord    = min_coord;
   1462       FT_Pos     prev_max_coord    = max_coord;
   1463       FT_UShort  prev_min_flags    = min_flags;
   1464       FT_UShort  prev_max_flags    = max_flags;
   1465       FT_Pos     prev_min_on_coord = min_on_coord;
   1466       FT_Pos     prev_max_on_coord = max_on_coord;
   1467 
   1468 
   1469       if ( FT_ABS( last->out_dir )  == major_dir &&
   1470            FT_ABS( point->out_dir ) == major_dir )
   1471       {
   1472         /* we are already on an edge, try to locate its start */
   1473         last = point;
   1474 
   1475         for (;;)
   1476         {
   1477           point = point->prev;
   1478           if ( FT_ABS( point->out_dir ) != major_dir )
   1479           {
   1480             point = point->next;
   1481             break;
   1482           }
   1483           if ( point == last )
   1484             break;
   1485         }
   1486       }
   1487 
   1488       last   = point;
   1489       passed = 0;
   1490 
   1491       for (;;)
   1492       {
   1493         FT_Pos  u, v;
   1494 
   1495 
   1496         if ( on_edge )
   1497         {
   1498           /* get minimum and maximum position */
   1499           u = point->u;
   1500           if ( u < min_pos )
   1501             min_pos = u;
   1502           if ( u > max_pos )
   1503             max_pos = u;
   1504 
   1505           /* get minimum and maximum coordinate together with flags */
   1506           v = point->v;
   1507           if ( v < min_coord )
   1508           {
   1509             min_coord = v;
   1510             min_flags = point->flags;
   1511           }
   1512           if ( v > max_coord )
   1513           {
   1514             max_coord = v;
   1515             max_flags = point->flags;
   1516           }
   1517 
   1518           /* get minimum and maximum coordinate of `on' points */
   1519           if ( !( point->flags & AF_FLAG_CONTROL ) )
   1520           {
   1521             v = point->v;
   1522             if ( v < min_on_coord )
   1523               min_on_coord = v;
   1524             if ( v > max_on_coord )
   1525               max_on_coord = v;
   1526           }
   1527 
   1528           if ( point->out_dir != segment_dir || point == last )
   1529           {
   1530             /* check whether the new segment's start point is identical to */
   1531             /* the previous segment's end point; for example, this might   */
   1532             /* happen for spikes                                           */
   1533 
   1534             if ( !prev_segment || segment->first != prev_segment->last )
   1535             {
   1536               /* points are different: we are just leaving an edge, thus */
   1537               /* record a new segment                                    */
   1538 
   1539               segment->last  = point;
   1540               segment->pos   = (FT_Short)( ( min_pos + max_pos ) >> 1 );
   1541               segment->delta = (FT_Short)( ( max_pos - min_pos ) >> 1 );
   1542 
   1543               /* a segment is round if either its first or last point */
   1544               /* is a control point, and the length of the on points  */
   1545               /* inbetween doesn't exceed a heuristic limit           */
   1546               if ( ( min_flags | max_flags ) & AF_FLAG_CONTROL      &&
   1547                    ( max_on_coord - min_on_coord ) < flat_threshold )
   1548                 segment->flags |= AF_EDGE_ROUND;
   1549 
   1550               segment->min_coord = (FT_Short)min_coord;
   1551               segment->max_coord = (FT_Short)max_coord;
   1552               segment->height    = segment->max_coord - segment->min_coord;
   1553 
   1554               prev_segment      = segment;
   1555               prev_min_pos      = min_pos;
   1556               prev_max_pos      = max_pos;
   1557               prev_min_coord    = min_coord;
   1558               prev_max_coord    = max_coord;
   1559               prev_min_flags    = min_flags;
   1560               prev_max_flags    = max_flags;
   1561               prev_min_on_coord = min_on_coord;
   1562               prev_max_on_coord = max_on_coord;
   1563             }
   1564             else
   1565             {
   1566               /* points are the same: we don't create a new segment but */
   1567               /* merge the current segment with the previous one        */
   1568 
   1569               if ( prev_segment->last->in_dir == point->in_dir )
   1570               {
   1571                 /* we have identical directions (this can happen for       */
   1572                 /* degenerate outlines that move zig-zag along the main    */
   1573                 /* axis without changing the coordinate value of the other */
   1574                 /* axis, and where the segments have just been merged):    */
   1575                 /* unify segments                                          */
   1576 
   1577                 /* update constraints */
   1578 
   1579                 if ( prev_min_pos < min_pos )
   1580                   min_pos = prev_min_pos;
   1581                 if ( prev_max_pos > max_pos )
   1582                   max_pos = prev_max_pos;
   1583 
   1584                 if ( prev_min_coord < min_coord )
   1585                 {
   1586                   min_coord = prev_min_coord;
   1587                   min_flags = prev_min_flags;
   1588                 }
   1589                 if ( prev_max_coord > max_coord )
   1590                 {
   1591                   max_coord = prev_max_coord;
   1592                   max_flags = prev_max_flags;
   1593                 }
   1594 
   1595                 if ( prev_min_on_coord < min_on_coord )
   1596                   min_on_coord = prev_min_on_coord;
   1597                 if ( prev_max_on_coord > max_on_coord )
   1598                   max_on_coord = prev_max_on_coord;
   1599 
   1600                 prev_segment->last = point;
   1601                 prev_segment->pos  = (FT_Short)( ( min_pos +
   1602                                                    max_pos ) >> 1 );
   1603 
   1604                 if ( ( min_flags | max_flags ) & AF_FLAG_CONTROL      &&
   1605                      ( max_on_coord - min_on_coord ) < flat_threshold )
   1606                   prev_segment->flags |= AF_EDGE_ROUND;
   1607                 else
   1608                   prev_segment->flags &= ~AF_EDGE_ROUND;
   1609 
   1610                 prev_segment->min_coord = (FT_Short)min_coord;
   1611                 prev_segment->max_coord = (FT_Short)max_coord;
   1612                 prev_segment->height    = prev_segment->max_coord -
   1613                                           prev_segment->min_coord;
   1614               }
   1615               else
   1616               {
   1617                 /* we have different directions; use the properties of the */
   1618                 /* longer segment and discard the other one                */
   1619 
   1620                 if ( FT_ABS( prev_max_coord - prev_min_coord ) >
   1621                      FT_ABS( max_coord - min_coord ) )
   1622                 {
   1623                   /* discard current segment */
   1624 
   1625                   if ( min_pos < prev_min_pos )
   1626                     prev_min_pos = min_pos;
   1627                   if ( max_pos > prev_max_pos )
   1628                     prev_max_pos = max_pos;
   1629 
   1630                   prev_segment->last = point;
   1631                   prev_segment->pos  = (FT_Short)( ( prev_min_pos +
   1632                                                      prev_max_pos ) >> 1 );
   1633                 }
   1634                 else
   1635                 {
   1636                   /* discard previous segment */
   1637 
   1638                   if ( prev_min_pos < min_pos )
   1639                     min_pos = prev_min_pos;
   1640                   if ( prev_max_pos > max_pos )
   1641                     max_pos = prev_max_pos;
   1642 
   1643                   segment->last = point;
   1644                   segment->pos  = (FT_Short)( ( min_pos + max_pos ) >> 1 );
   1645 
   1646                   if ( ( min_flags | max_flags ) & AF_FLAG_CONTROL      &&
   1647                        ( max_on_coord - min_on_coord ) < flat_threshold )
   1648                     segment->flags |= AF_EDGE_ROUND;
   1649 
   1650                   segment->min_coord = (FT_Short)min_coord;
   1651                   segment->max_coord = (FT_Short)max_coord;
   1652                   segment->height    = segment->max_coord -
   1653                                        segment->min_coord;
   1654 
   1655                   *prev_segment = *segment;
   1656 
   1657                   prev_min_pos      = min_pos;
   1658                   prev_max_pos      = max_pos;
   1659                   prev_min_coord    = min_coord;
   1660                   prev_max_coord    = max_coord;
   1661                   prev_min_flags    = min_flags;
   1662                   prev_max_flags    = max_flags;
   1663                   prev_min_on_coord = min_on_coord;
   1664                   prev_max_on_coord = max_on_coord;
   1665                 }
   1666               }
   1667 
   1668               axis->num_segments--;
   1669             }
   1670 
   1671             on_edge = 0;
   1672             segment = NULL;
   1673 
   1674             /* fall through */
   1675           }
   1676         }
   1677 
   1678         /* now exit if we are at the start/end point */
   1679         if ( point == last )
   1680         {
   1681           if ( passed )
   1682             break;
   1683           passed = 1;
   1684         }
   1685 
   1686         /* if we are not on an edge, check whether the major direction */
   1687         /* coincides with the current point's `out' direction, or      */
   1688         /* whether we have a single-point contour                      */
   1689         if ( !on_edge                                  &&
   1690              ( FT_ABS( point->out_dir ) == major_dir ||
   1691                point == point->prev                  ) )
   1692         {
   1693           /* this is the start of a new segment! */
   1694           segment_dir = (AF_Direction)point->out_dir;
   1695 
   1696           error = af_axis_hints_new_segment( axis, memory, &segment );
   1697           if ( error )
   1698             goto Exit;
   1699 
   1700           /* clear all segment fields */
   1701           segment[0] = seg0;
   1702 
   1703           segment->dir   = (FT_Char)segment_dir;
   1704           segment->first = point;
   1705           segment->last  = point;
   1706 
   1707           /* `af_axis_hints_new_segment' reallocates memory,    */
   1708           /* thus we have to refresh the `prev_segment' pointer */
   1709           if ( prev_segment )
   1710             prev_segment = segment - 1;
   1711 
   1712           min_pos   = max_pos   = point->u;
   1713           min_coord = max_coord = point->v;
   1714           min_flags = max_flags = point->flags;
   1715 
   1716           if ( point->flags & AF_FLAG_CONTROL )
   1717           {
   1718             min_on_coord =  32000;
   1719             max_on_coord = -32000;
   1720           }
   1721           else
   1722             min_on_coord = max_on_coord = point->v;
   1723 
   1724           on_edge = 1;
   1725 
   1726           if ( point == point->prev )
   1727           {
   1728             /* we have a one-point segment: this is a one-point */
   1729             /* contour with `in' and `out' direction set to     */
   1730             /* AF_DIR_NONE                                      */
   1731             segment->pos = (FT_Short)min_pos;
   1732 
   1733             if (point->flags & AF_FLAG_CONTROL)
   1734               segment->flags |= AF_EDGE_ROUND;
   1735 
   1736             segment->min_coord = (FT_Short)point->v;
   1737             segment->max_coord = (FT_Short)point->v;
   1738             segment->height = 0;
   1739 
   1740             on_edge = 0;
   1741             segment = NULL;
   1742           }
   1743         }
   1744 
   1745         point = point->next;
   1746       }
   1747 
   1748     } /* contours */
   1749 
   1750 
   1751     /* now slightly increase the height of segments if this makes */
   1752     /* sense -- this is used to better detect and ignore serifs   */
   1753     {
   1754       AF_Segment  segments     = axis->segments;
   1755       AF_Segment  segments_end = segments + axis->num_segments;
   1756 
   1757 
   1758       for ( segment = segments; segment < segments_end; segment++ )
   1759       {
   1760         AF_Point  first   = segment->first;
   1761         AF_Point  last    = segment->last;
   1762         FT_Pos    first_v = first->v;
   1763         FT_Pos    last_v  = last->v;
   1764 
   1765 
   1766         if ( first_v < last_v )
   1767         {
   1768           AF_Point  p;
   1769 
   1770 
   1771           p = first->prev;
   1772           if ( p->v < first_v )
   1773             segment->height = (FT_Short)( segment->height +
   1774                                           ( ( first_v - p->v ) >> 1 ) );
   1775 
   1776           p = last->next;
   1777           if ( p->v > last_v )
   1778             segment->height = (FT_Short)( segment->height +
   1779                                           ( ( p->v - last_v ) >> 1 ) );
   1780         }
   1781         else
   1782         {
   1783           AF_Point  p;
   1784 
   1785 
   1786           p = first->prev;
   1787           if ( p->v > first_v )
   1788             segment->height = (FT_Short)( segment->height +
   1789                                           ( ( p->v - first_v ) >> 1 ) );
   1790 
   1791           p = last->next;
   1792           if ( p->v < last_v )
   1793             segment->height = (FT_Short)( segment->height +
   1794                                           ( ( last_v - p->v ) >> 1 ) );
   1795         }
   1796       }
   1797     }
   1798 
   1799   Exit:
   1800     return error;
   1801   }
   1802 
   1803 
   1804   /* Link segments to form stems and serifs.  If `width_count' and      */
   1805   /* `widths' are non-zero, use them to fine-tune the scoring function. */
   1806 
   1807   FT_LOCAL_DEF( void )
   1808   af_latin_hints_link_segments( AF_GlyphHints  hints,
   1809                                 FT_UInt        width_count,
   1810                                 AF_WidthRec*   widths,
   1811                                 AF_Dimension   dim )
   1812   {
   1813     AF_AxisHints  axis          = &hints->axis[dim];
   1814     AF_Segment    segments      = axis->segments;
   1815     AF_Segment    segment_limit = segments + axis->num_segments;
   1816     FT_Pos        len_threshold, len_score, dist_score, max_width;
   1817     AF_Segment    seg1, seg2;
   1818 
   1819 
   1820     if ( width_count )
   1821       max_width = widths[width_count - 1].org;
   1822     else
   1823       max_width = 0;
   1824 
   1825     /* a heuristic value to set up a minimum value for overlapping */
   1826     len_threshold = AF_LATIN_CONSTANT( hints->metrics, 8 );
   1827     if ( len_threshold == 0 )
   1828       len_threshold = 1;
   1829 
   1830     /* a heuristic value to weight lengths */
   1831     len_score = AF_LATIN_CONSTANT( hints->metrics, 6000 );
   1832 
   1833     /* a heuristic value to weight distances (no call to    */
   1834     /* AF_LATIN_CONSTANT needed, since we work on multiples */
   1835     /* of the stem width)                                   */
   1836     dist_score = 3000;
   1837 
   1838     /* now compare each segment to the others */
   1839     for ( seg1 = segments; seg1 < segment_limit; seg1++ )
   1840     {
   1841       if ( seg1->dir != axis->major_dir )
   1842         continue;
   1843 
   1844       /* search for stems having opposite directions, */
   1845       /* with seg1 to the `left' of seg2              */
   1846       for ( seg2 = segments; seg2 < segment_limit; seg2++ )
   1847       {
   1848         FT_Pos  pos1 = seg1->pos;
   1849         FT_Pos  pos2 = seg2->pos;
   1850 
   1851 
   1852         if ( seg1->dir + seg2->dir == 0 && pos2 > pos1 )
   1853         {
   1854           /* compute distance between the two segments */
   1855           FT_Pos  min = seg1->min_coord;
   1856           FT_Pos  max = seg1->max_coord;
   1857           FT_Pos  len;
   1858 
   1859 
   1860           if ( min < seg2->min_coord )
   1861             min = seg2->min_coord;
   1862 
   1863           if ( max > seg2->max_coord )
   1864             max = seg2->max_coord;
   1865 
   1866           /* compute maximum coordinate difference of the two segments */
   1867           /* (this is, how much they overlap)                          */
   1868           len = max - min;
   1869           if ( len >= len_threshold )
   1870           {
   1871             /*
   1872              *  The score is the sum of two demerits indicating the
   1873              *  `badness' of a fit, measured along the segments' main axis
   1874              *  and orthogonal to it, respectively.
   1875              *
   1876              *  o The less overlapping along the main axis, the worse it
   1877              *    is, causing a larger demerit.
   1878              *
   1879              *  o The nearer the orthogonal distance to a stem width, the
   1880              *    better it is, causing a smaller demerit.  For simplicity,
   1881              *    however, we only increase the demerit for values that
   1882              *    exceed the largest stem width.
   1883              */
   1884 
   1885             FT_Pos  dist = pos2 - pos1;
   1886 
   1887             FT_Pos  dist_demerit, score;
   1888 
   1889 
   1890             if ( max_width )
   1891             {
   1892               /* distance demerits are based on multiples of `max_width'; */
   1893               /* we scale by 1024 for getting more precision              */
   1894               FT_Pos  delta = ( dist << 10 ) / max_width - ( 1 << 10 );
   1895 
   1896 
   1897               if ( delta > 10000 )
   1898                 dist_demerit = 32000;
   1899               else if ( delta > 0 )
   1900                 dist_demerit = delta * delta / dist_score;
   1901               else
   1902                 dist_demerit = 0;
   1903             }
   1904             else
   1905               dist_demerit = dist; /* default if no widths available */
   1906 
   1907             score = dist_demerit + len_score / len;
   1908 
   1909             /* and we search for the smallest score */
   1910             if ( score < seg1->score )
   1911             {
   1912               seg1->score = score;
   1913               seg1->link  = seg2;
   1914             }
   1915 
   1916             if ( score < seg2->score )
   1917             {
   1918               seg2->score = score;
   1919               seg2->link  = seg1;
   1920             }
   1921           }
   1922         }
   1923       }
   1924     }
   1925 
   1926     /* now compute the `serif' segments, cf. explanations in `afhints.h' */
   1927     for ( seg1 = segments; seg1 < segment_limit; seg1++ )
   1928     {
   1929       seg2 = seg1->link;
   1930 
   1931       if ( seg2 )
   1932       {
   1933         if ( seg2->link != seg1 )
   1934         {
   1935           seg1->link  = 0;
   1936           seg1->serif = seg2->link;
   1937         }
   1938       }
   1939     }
   1940   }
   1941 
   1942 
   1943   /* Link segments to edges, using feature analysis for selection. */
   1944 
   1945   FT_LOCAL_DEF( FT_Error )
   1946   af_latin_hints_compute_edges( AF_GlyphHints  hints,
   1947                                 AF_Dimension   dim )
   1948   {
   1949     AF_AxisHints  axis   = &hints->axis[dim];
   1950     FT_Error      error  = FT_Err_Ok;
   1951     FT_Memory     memory = hints->memory;
   1952     AF_LatinAxis  laxis  = &((AF_LatinMetrics)hints->metrics)->axis[dim];
   1953 
   1954     AF_StyleClass   style_class  = hints->metrics->style_class;
   1955     AF_ScriptClass  script_class = AF_SCRIPT_CLASSES_GET
   1956                                      [style_class->script];
   1957 
   1958     FT_Bool  top_to_bottom_hinting = 0;
   1959 
   1960     AF_Segment    segments      = axis->segments;
   1961     AF_Segment    segment_limit = segments + axis->num_segments;
   1962     AF_Segment    seg;
   1963 
   1964 #if 0
   1965     AF_Direction  up_dir;
   1966 #endif
   1967     FT_Fixed      scale;
   1968     FT_Pos        edge_distance_threshold;
   1969     FT_Pos        segment_length_threshold;
   1970     FT_Pos        segment_width_threshold;
   1971 
   1972 
   1973     axis->num_edges = 0;
   1974 
   1975     scale = ( dim == AF_DIMENSION_HORZ ) ? hints->x_scale
   1976                                          : hints->y_scale;
   1977 
   1978 #if 0
   1979     up_dir = ( dim == AF_DIMENSION_HORZ ) ? AF_DIR_UP
   1980                                           : AF_DIR_RIGHT;
   1981 #endif
   1982 
   1983     if ( dim == AF_DIMENSION_VERT )
   1984       top_to_bottom_hinting = script_class->top_to_bottom_hinting;
   1985 
   1986     /*
   1987      *  We ignore all segments that are less than 1 pixel in length
   1988      *  to avoid many problems with serif fonts.  We compute the
   1989      *  corresponding threshold in font units.
   1990      */
   1991     if ( dim == AF_DIMENSION_HORZ )
   1992       segment_length_threshold = FT_DivFix( 64, hints->y_scale );
   1993     else
   1994       segment_length_threshold = 0;
   1995 
   1996     /*
   1997      *  Similarly, we ignore segments that have a width delta
   1998      *  larger than 0.5px (i.e., a width larger than 1px).
   1999      */
   2000     segment_width_threshold = FT_DivFix( 32, scale );
   2001 
   2002     /*********************************************************************/
   2003     /*                                                                   */
   2004     /* We begin by generating a sorted table of edges for the current    */
   2005     /* direction.  To do so, we simply scan each segment and try to find */
   2006     /* an edge in our table that corresponds to its position.            */
   2007     /*                                                                   */
   2008     /* If no edge is found, we create and insert a new edge in the       */
   2009     /* sorted table.  Otherwise, we simply add the segment to the edge's */
   2010     /* list which gets processed in the second step to compute the       */
   2011     /* edge's properties.                                                */
   2012     /*                                                                   */
   2013     /* Note that the table of edges is sorted along the segment/edge     */
   2014     /* position.                                                         */
   2015     /*                                                                   */
   2016     /*********************************************************************/
   2017 
   2018     /* assure that edge distance threshold is at most 0.25px */
   2019     edge_distance_threshold = FT_MulFix( laxis->edge_distance_threshold,
   2020                                          scale );
   2021     if ( edge_distance_threshold > 64 / 4 )
   2022       edge_distance_threshold = 64 / 4;
   2023 
   2024     edge_distance_threshold = FT_DivFix( edge_distance_threshold,
   2025                                          scale );
   2026 
   2027     for ( seg = segments; seg < segment_limit; seg++ )
   2028     {
   2029       AF_Edge  found = NULL;
   2030       FT_Int   ee;
   2031 
   2032 
   2033       /* ignore too short segments, too wide ones, and, in this loop, */
   2034       /* one-point segments without a direction                       */
   2035       if ( seg->height < segment_length_threshold ||
   2036            seg->delta > segment_width_threshold   ||
   2037            seg->dir == AF_DIR_NONE                )
   2038         continue;
   2039 
   2040       /* A special case for serif edges: If they are smaller than */
   2041       /* 1.5 pixels we ignore them.                               */
   2042       if ( seg->serif                                     &&
   2043            2 * seg->height < 3 * segment_length_threshold )
   2044         continue;
   2045 
   2046       /* look for an edge corresponding to the segment */
   2047       for ( ee = 0; ee < axis->num_edges; ee++ )
   2048       {
   2049         AF_Edge  edge = axis->edges + ee;
   2050         FT_Pos   dist;
   2051 
   2052 
   2053         dist = seg->pos - edge->fpos;
   2054         if ( dist < 0 )
   2055           dist = -dist;
   2056 
   2057         if ( dist < edge_distance_threshold && edge->dir == seg->dir )
   2058         {
   2059           found = edge;
   2060           break;
   2061         }
   2062       }
   2063 
   2064       if ( !found )
   2065       {
   2066         AF_Edge  edge;
   2067 
   2068 
   2069         /* insert a new edge in the list and */
   2070         /* sort according to the position    */
   2071         error = af_axis_hints_new_edge( axis, seg->pos,
   2072                                         (AF_Direction)seg->dir,
   2073                                         top_to_bottom_hinting,
   2074                                         memory, &edge );
   2075         if ( error )
   2076           goto Exit;
   2077 
   2078         /* add the segment to the new edge's list */
   2079         FT_ZERO( edge );
   2080 
   2081         edge->first    = seg;
   2082         edge->last     = seg;
   2083         edge->dir      = seg->dir;
   2084         edge->fpos     = seg->pos;
   2085         edge->opos     = FT_MulFix( seg->pos, scale );
   2086         edge->pos      = edge->opos;
   2087         seg->edge_next = seg;
   2088       }
   2089       else
   2090       {
   2091         /* if an edge was found, simply add the segment to the edge's */
   2092         /* list                                                       */
   2093         seg->edge_next         = found->first;
   2094         found->last->edge_next = seg;
   2095         found->last            = seg;
   2096       }
   2097     }
   2098 
   2099     /* we loop again over all segments to catch one-point segments   */
   2100     /* without a direction: if possible, link them to existing edges */
   2101     for ( seg = segments; seg < segment_limit; seg++ )
   2102     {
   2103       AF_Edge  found = NULL;
   2104       FT_Int   ee;
   2105 
   2106 
   2107       if ( seg->dir != AF_DIR_NONE )
   2108         continue;
   2109 
   2110       /* look for an edge corresponding to the segment */
   2111       for ( ee = 0; ee < axis->num_edges; ee++ )
   2112       {
   2113         AF_Edge  edge = axis->edges + ee;
   2114         FT_Pos   dist;
   2115 
   2116 
   2117         dist = seg->pos - edge->fpos;
   2118         if ( dist < 0 )
   2119           dist = -dist;
   2120 
   2121         if ( dist < edge_distance_threshold )
   2122         {
   2123           found = edge;
   2124           break;
   2125         }
   2126       }
   2127 
   2128       /* one-point segments without a match are ignored */
   2129       if ( found )
   2130       {
   2131         seg->edge_next         = found->first;
   2132         found->last->edge_next = seg;
   2133         found->last            = seg;
   2134       }
   2135     }
   2136 
   2137 
   2138     /******************************************************************/
   2139     /*                                                                */
   2140     /* Good, we now compute each edge's properties according to the   */
   2141     /* segments found on its position.  Basically, these are          */
   2142     /*                                                                */
   2143     /*  - the edge's main direction                                   */
   2144     /*  - stem edge, serif edge or both (which defaults to stem then) */
   2145     /*  - rounded edge, straight or both (which defaults to straight) */
   2146     /*  - link for edge                                               */
   2147     /*                                                                */
   2148     /******************************************************************/
   2149 
   2150     /* first of all, set the `edge' field in each segment -- this is */
   2151     /* required in order to compute edge links                       */
   2152 
   2153     /*
   2154      * Note that removing this loop and setting the `edge' field of each
   2155      * segment directly in the code above slows down execution speed for
   2156      * some reasons on platforms like the Sun.
   2157      */
   2158     {
   2159       AF_Edge  edges      = axis->edges;
   2160       AF_Edge  edge_limit = edges + axis->num_edges;
   2161       AF_Edge  edge;
   2162 
   2163 
   2164       for ( edge = edges; edge < edge_limit; edge++ )
   2165       {
   2166         seg = edge->first;
   2167         if ( seg )
   2168           do
   2169           {
   2170             seg->edge = edge;
   2171             seg       = seg->edge_next;
   2172 
   2173           } while ( seg != edge->first );
   2174       }
   2175 
   2176       /* now compute each edge properties */
   2177       for ( edge = edges; edge < edge_limit; edge++ )
   2178       {
   2179         FT_Int  is_round    = 0;  /* does it contain round segments?    */
   2180         FT_Int  is_straight = 0;  /* does it contain straight segments? */
   2181 #if 0
   2182         FT_Pos  ups         = 0;  /* number of upwards segments         */
   2183         FT_Pos  downs       = 0;  /* number of downwards segments       */
   2184 #endif
   2185 
   2186 
   2187         seg = edge->first;
   2188 
   2189         do
   2190         {
   2191           FT_Bool  is_serif;
   2192 
   2193 
   2194           /* check for roundness of segment */
   2195           if ( seg->flags & AF_EDGE_ROUND )
   2196             is_round++;
   2197           else
   2198             is_straight++;
   2199 
   2200 #if 0
   2201           /* check for segment direction */
   2202           if ( seg->dir == up_dir )
   2203             ups   += seg->max_coord - seg->min_coord;
   2204           else
   2205             downs += seg->max_coord - seg->min_coord;
   2206 #endif
   2207 
   2208           /* check for links -- if seg->serif is set, then seg->link must */
   2209           /* be ignored                                                   */
   2210           is_serif = (FT_Bool)( seg->serif               &&
   2211                                 seg->serif->edge         &&
   2212                                 seg->serif->edge != edge );
   2213 
   2214           if ( ( seg->link && seg->link->edge != NULL ) || is_serif )
   2215           {
   2216             AF_Edge     edge2;
   2217             AF_Segment  seg2;
   2218 
   2219 
   2220             edge2 = edge->link;
   2221             seg2  = seg->link;
   2222 
   2223             if ( is_serif )
   2224             {
   2225               seg2  = seg->serif;
   2226               edge2 = edge->serif;
   2227             }
   2228 
   2229             if ( edge2 )
   2230             {
   2231               FT_Pos  edge_delta;
   2232               FT_Pos  seg_delta;
   2233 
   2234 
   2235               edge_delta = edge->fpos - edge2->fpos;
   2236               if ( edge_delta < 0 )
   2237                 edge_delta = -edge_delta;
   2238 
   2239               seg_delta = seg->pos - seg2->pos;
   2240               if ( seg_delta < 0 )
   2241                 seg_delta = -seg_delta;
   2242 
   2243               if ( seg_delta < edge_delta )
   2244                 edge2 = seg2->edge;
   2245             }
   2246             else
   2247               edge2 = seg2->edge;
   2248 
   2249             if ( is_serif )
   2250             {
   2251               edge->serif   = edge2;
   2252               edge2->flags |= AF_EDGE_SERIF;
   2253             }
   2254             else
   2255               edge->link  = edge2;
   2256           }
   2257 
   2258           seg = seg->edge_next;
   2259 
   2260         } while ( seg != edge->first );
   2261 
   2262         /* set the round/straight flags */
   2263         edge->flags = AF_EDGE_NORMAL;
   2264 
   2265         if ( is_round > 0 && is_round >= is_straight )
   2266           edge->flags |= AF_EDGE_ROUND;
   2267 
   2268 #if 0
   2269         /* set the edge's main direction */
   2270         edge->dir = AF_DIR_NONE;
   2271 
   2272         if ( ups > downs )
   2273           edge->dir = (FT_Char)up_dir;
   2274 
   2275         else if ( ups < downs )
   2276           edge->dir = (FT_Char)-up_dir;
   2277 
   2278         else if ( ups == downs )
   2279           edge->dir = 0;  /* both up and down! */
   2280 #endif
   2281 
   2282         /* get rid of serifs if link is set                 */
   2283         /* XXX: This gets rid of many unpleasant artefacts! */
   2284         /*      Example: the `c' in cour.pfa at size 13     */
   2285 
   2286         if ( edge->serif && edge->link )
   2287           edge->serif = NULL;
   2288       }
   2289     }
   2290 
   2291   Exit:
   2292     return error;
   2293   }
   2294 
   2295 
   2296   /* Detect segments and edges for given dimension. */
   2297 
   2298   FT_LOCAL_DEF( FT_Error )
   2299   af_latin_hints_detect_features( AF_GlyphHints  hints,
   2300                                   FT_UInt        width_count,
   2301                                   AF_WidthRec*   widths,
   2302                                   AF_Dimension   dim )
   2303   {
   2304     FT_Error  error;
   2305 
   2306 
   2307     error = af_latin_hints_compute_segments( hints, dim );
   2308     if ( !error )
   2309     {
   2310       af_latin_hints_link_segments( hints, width_count, widths, dim );
   2311 
   2312       error = af_latin_hints_compute_edges( hints, dim );
   2313     }
   2314 
   2315     return error;
   2316   }
   2317 
   2318 
   2319   /* Compute all edges which lie within blue zones. */
   2320 
   2321   static void
   2322   af_latin_hints_compute_blue_edges( AF_GlyphHints    hints,
   2323                                      AF_LatinMetrics  metrics )
   2324   {
   2325     AF_AxisHints  axis       = &hints->axis[AF_DIMENSION_VERT];
   2326     AF_Edge       edge       = axis->edges;
   2327     AF_Edge       edge_limit = edge + axis->num_edges;
   2328     AF_LatinAxis  latin      = &metrics->axis[AF_DIMENSION_VERT];
   2329     FT_Fixed      scale      = latin->scale;
   2330 
   2331 
   2332     /* compute which blue zones are active, i.e. have their scaled */
   2333     /* size < 3/4 pixels                                           */
   2334 
   2335     /* for each horizontal edge search the blue zone which is closest */
   2336     for ( ; edge < edge_limit; edge++ )
   2337     {
   2338       FT_UInt   bb;
   2339       AF_Width  best_blue            = NULL;
   2340       FT_Bool   best_blue_is_neutral = 0;
   2341       FT_Pos    best_dist;                 /* initial threshold */
   2342 
   2343 
   2344       /* compute the initial threshold as a fraction of the EM size */
   2345       /* (the value 40 is heuristic)                                */
   2346       best_dist = FT_MulFix( metrics->units_per_em / 40, scale );
   2347 
   2348       /* assure a minimum distance of 0.5px */
   2349       if ( best_dist > 64 / 2 )
   2350         best_dist = 64 / 2;
   2351 
   2352       for ( bb = 0; bb < latin->blue_count; bb++ )
   2353       {
   2354         AF_LatinBlue  blue = latin->blues + bb;
   2355         FT_Bool       is_top_blue, is_neutral_blue, is_major_dir;
   2356 
   2357 
   2358         /* skip inactive blue zones (i.e., those that are too large) */
   2359         if ( !( blue->flags & AF_LATIN_BLUE_ACTIVE ) )
   2360           continue;
   2361 
   2362         /* if it is a top zone, check for right edges (against the major */
   2363         /* direction); if it is a bottom zone, check for left edges (in  */
   2364         /* the major direction) -- this assumes the TrueType convention  */
   2365         /* for the orientation of contours                               */
   2366         is_top_blue =
   2367           (FT_Byte)( ( blue->flags & ( AF_LATIN_BLUE_TOP     |
   2368                                        AF_LATIN_BLUE_SUB_TOP ) ) != 0 );
   2369         is_neutral_blue =
   2370           (FT_Byte)( ( blue->flags & AF_LATIN_BLUE_NEUTRAL ) != 0);
   2371         is_major_dir =
   2372           FT_BOOL( edge->dir == axis->major_dir );
   2373 
   2374         /* neutral blue zones are handled for both directions */
   2375         if ( is_top_blue ^ is_major_dir || is_neutral_blue )
   2376         {
   2377           FT_Pos  dist;
   2378 
   2379 
   2380           /* first of all, compare it to the reference position */
   2381           dist = edge->fpos - blue->ref.org;
   2382           if ( dist < 0 )
   2383             dist = -dist;
   2384 
   2385           dist = FT_MulFix( dist, scale );
   2386           if ( dist < best_dist )
   2387           {
   2388             best_dist            = dist;
   2389             best_blue            = &blue->ref;
   2390             best_blue_is_neutral = is_neutral_blue;
   2391           }
   2392 
   2393           /* now compare it to the overshoot position and check whether */
   2394           /* the edge is rounded, and whether the edge is over the      */
   2395           /* reference position of a top zone, or under the reference   */
   2396           /* position of a bottom zone (provided we don't have a        */
   2397           /* neutral blue zone)                                         */
   2398           if ( edge->flags & AF_EDGE_ROUND &&
   2399                dist != 0                   &&
   2400                !is_neutral_blue            )
   2401           {
   2402             FT_Bool  is_under_ref = FT_BOOL( edge->fpos < blue->ref.org );
   2403 
   2404 
   2405             if ( is_top_blue ^ is_under_ref )
   2406             {
   2407               dist = edge->fpos - blue->shoot.org;
   2408               if ( dist < 0 )
   2409                 dist = -dist;
   2410 
   2411               dist = FT_MulFix( dist, scale );
   2412               if ( dist < best_dist )
   2413               {
   2414                 best_dist            = dist;
   2415                 best_blue            = &blue->shoot;
   2416                 best_blue_is_neutral = is_neutral_blue;
   2417               }
   2418             }
   2419           }
   2420         }
   2421       }
   2422 
   2423       if ( best_blue )
   2424       {
   2425         edge->blue_edge = best_blue;
   2426         if ( best_blue_is_neutral )
   2427           edge->flags |= AF_EDGE_NEUTRAL;
   2428       }
   2429     }
   2430   }
   2431 
   2432 
   2433   /* Initalize hinting engine. */
   2434 
   2435   static FT_Error
   2436   af_latin_hints_init( AF_GlyphHints    hints,
   2437                        AF_LatinMetrics  metrics )
   2438   {
   2439     FT_Render_Mode  mode;
   2440     FT_UInt32       scaler_flags, other_flags;
   2441     FT_Face         face = metrics->root.scaler.face;
   2442 
   2443 
   2444     af_glyph_hints_rescale( hints, (AF_StyleMetrics)metrics );
   2445 
   2446     /*
   2447      *  correct x_scale and y_scale if needed, since they may have
   2448      *  been modified by `af_latin_metrics_scale_dim' above
   2449      */
   2450     hints->x_scale = metrics->axis[AF_DIMENSION_HORZ].scale;
   2451     hints->x_delta = metrics->axis[AF_DIMENSION_HORZ].delta;
   2452     hints->y_scale = metrics->axis[AF_DIMENSION_VERT].scale;
   2453     hints->y_delta = metrics->axis[AF_DIMENSION_VERT].delta;
   2454 
   2455     /* compute flags depending on render mode, etc. */
   2456     mode = metrics->root.scaler.render_mode;
   2457 
   2458 #if 0 /* #ifdef AF_CONFIG_OPTION_USE_WARPER */
   2459     if ( mode == FT_RENDER_MODE_LCD || mode == FT_RENDER_MODE_LCD_V )
   2460       metrics->root.scaler.render_mode = mode = FT_RENDER_MODE_NORMAL;
   2461 #endif
   2462 
   2463     scaler_flags = hints->scaler_flags;
   2464     other_flags  = 0;
   2465 
   2466     /*
   2467      *  We snap the width of vertical stems for the monochrome and
   2468      *  horizontal LCD rendering targets only.
   2469      */
   2470     if ( mode == FT_RENDER_MODE_MONO || mode == FT_RENDER_MODE_LCD )
   2471       other_flags |= AF_LATIN_HINTS_HORZ_SNAP;
   2472 
   2473     /*
   2474      *  We snap the width of horizontal stems for the monochrome and
   2475      *  vertical LCD rendering targets only.
   2476      */
   2477     if ( mode == FT_RENDER_MODE_MONO || mode == FT_RENDER_MODE_LCD_V )
   2478       other_flags |= AF_LATIN_HINTS_VERT_SNAP;
   2479 
   2480     /*
   2481      *  We adjust stems to full pixels only if we don't use the `light' mode.
   2482      */
   2483     if ( mode != FT_RENDER_MODE_LIGHT )
   2484       other_flags |= AF_LATIN_HINTS_STEM_ADJUST;
   2485 
   2486     if ( mode == FT_RENDER_MODE_MONO )
   2487       other_flags |= AF_LATIN_HINTS_MONO;
   2488 
   2489     /*
   2490      *  In `light' hinting mode we disable horizontal hinting completely.
   2491      *  We also do it if the face is italic.
   2492      *
   2493      *  However, if warping is enabled (which only works in `light' hinting
   2494      *  mode), advance widths get adjusted, too.
   2495      */
   2496     if ( mode == FT_RENDER_MODE_LIGHT                      ||
   2497          ( face->style_flags & FT_STYLE_FLAG_ITALIC ) != 0 )
   2498       scaler_flags |= AF_SCALER_FLAG_NO_HORIZONTAL;
   2499 
   2500 #ifdef AF_CONFIG_OPTION_USE_WARPER
   2501     /* get (global) warper flag */
   2502     if ( !metrics->root.globals->module->warping )
   2503       scaler_flags |= AF_SCALER_FLAG_NO_WARPER;
   2504 #endif
   2505 
   2506     hints->scaler_flags = scaler_flags;
   2507     hints->other_flags  = other_flags;
   2508 
   2509     return FT_Err_Ok;
   2510   }
   2511 
   2512 
   2513   /*************************************************************************/
   2514   /*************************************************************************/
   2515   /*****                                                               *****/
   2516   /*****        L A T I N   G L Y P H   G R I D - F I T T I N G        *****/
   2517   /*****                                                               *****/
   2518   /*************************************************************************/
   2519   /*************************************************************************/
   2520 
   2521   /* Snap a given width in scaled coordinates to one of the */
   2522   /* current standard widths.                               */
   2523 
   2524   static FT_Pos
   2525   af_latin_snap_width( AF_Width  widths,
   2526                        FT_UInt   count,
   2527                        FT_Pos    width )
   2528   {
   2529     FT_UInt  n;
   2530     FT_Pos   best      = 64 + 32 + 2;
   2531     FT_Pos   reference = width;
   2532     FT_Pos   scaled;
   2533 
   2534 
   2535     for ( n = 0; n < count; n++ )
   2536     {
   2537       FT_Pos  w;
   2538       FT_Pos  dist;
   2539 
   2540 
   2541       w = widths[n].cur;
   2542       dist = width - w;
   2543       if ( dist < 0 )
   2544         dist = -dist;
   2545       if ( dist < best )
   2546       {
   2547         best      = dist;
   2548         reference = w;
   2549       }
   2550     }
   2551 
   2552     scaled = FT_PIX_ROUND( reference );
   2553 
   2554     if ( width >= reference )
   2555     {
   2556       if ( width < scaled + 48 )
   2557         width = reference;
   2558     }
   2559     else
   2560     {
   2561       if ( width > scaled - 48 )
   2562         width = reference;
   2563     }
   2564 
   2565     return width;
   2566   }
   2567 
   2568 
   2569   /* Compute the snapped width of a given stem, ignoring very thin ones. */
   2570   /* There is a lot of voodoo in this function; changing the hard-coded  */
   2571   /* parameters influence the whole hinting process.                     */
   2572 
   2573   static FT_Pos
   2574   af_latin_compute_stem_width( AF_GlyphHints  hints,
   2575                                AF_Dimension   dim,
   2576                                FT_Pos         width,
   2577                                FT_Pos         base_delta,
   2578                                FT_UInt        base_flags,
   2579                                FT_UInt        stem_flags )
   2580   {
   2581     AF_LatinMetrics  metrics  = (AF_LatinMetrics)hints->metrics;
   2582     AF_LatinAxis     axis     = &metrics->axis[dim];
   2583     FT_Pos           dist     = width;
   2584     FT_Int           sign     = 0;
   2585     FT_Int           vertical = ( dim == AF_DIMENSION_VERT );
   2586 
   2587 
   2588     if ( !AF_LATIN_HINTS_DO_STEM_ADJUST( hints ) ||
   2589          axis->extra_light                       )
   2590       return width;
   2591 
   2592     if ( dist < 0 )
   2593     {
   2594       dist = -width;
   2595       sign = 1;
   2596     }
   2597 
   2598     if ( (  vertical && !AF_LATIN_HINTS_DO_VERT_SNAP( hints ) ) ||
   2599          ( !vertical && !AF_LATIN_HINTS_DO_HORZ_SNAP( hints ) ) )
   2600     {
   2601       /* smooth hinting process: very lightly quantize the stem width */
   2602 
   2603       /* leave the widths of serifs alone */
   2604       if ( ( stem_flags & AF_EDGE_SERIF ) &&
   2605            vertical                       &&
   2606            ( dist < 3 * 64 )              )
   2607         goto Done_Width;
   2608 
   2609       else if ( base_flags & AF_EDGE_ROUND )
   2610       {
   2611         if ( dist < 80 )
   2612           dist = 64;
   2613       }
   2614       else if ( dist < 56 )
   2615         dist = 56;
   2616 
   2617       if ( axis->width_count > 0 )
   2618       {
   2619         FT_Pos  delta;
   2620 
   2621 
   2622         /* compare to standard width */
   2623         delta = dist - axis->widths[0].cur;
   2624 
   2625         if ( delta < 0 )
   2626           delta = -delta;
   2627 
   2628         if ( delta < 40 )
   2629         {
   2630           dist = axis->widths[0].cur;
   2631           if ( dist < 48 )
   2632             dist = 48;
   2633 
   2634           goto Done_Width;
   2635         }
   2636 
   2637         if ( dist < 3 * 64 )
   2638         {
   2639           delta  = dist & 63;
   2640           dist  &= -64;
   2641 
   2642           if ( delta < 10 )
   2643             dist += delta;
   2644 
   2645           else if ( delta < 32 )
   2646             dist += 10;
   2647 
   2648           else if ( delta < 54 )
   2649             dist += 54;
   2650 
   2651           else
   2652             dist += delta;
   2653         }
   2654         else
   2655         {
   2656           /* A stem's end position depends on two values: the start        */
   2657           /* position and the stem length.  The former gets usually        */
   2658           /* rounded to the grid, while the latter gets rounded also if it */
   2659           /* exceeds a certain length (see below in this function).  This  */
   2660           /* `double rounding' can lead to a great difference to the       */
   2661           /* original, unhinted position; this normally doesn't matter for */
   2662           /* large PPEM values, but for small sizes it can easily make     */
   2663           /* outlines collide.  For this reason, we adjust the stem length */
   2664           /* by a small amount depending on the PPEM value in case the     */
   2665           /* former and latter rounding both point into the same           */
   2666           /* direction.                                                    */
   2667 
   2668           FT_Pos  bdelta = 0;
   2669 
   2670 
   2671           if ( ( ( width > 0 ) && ( base_delta > 0 ) ) ||
   2672                ( ( width < 0 ) && ( base_delta < 0 ) ) )
   2673           {
   2674             FT_UInt  ppem = metrics->root.scaler.face->size->metrics.x_ppem;
   2675 
   2676 
   2677             if ( ppem < 10 )
   2678               bdelta = base_delta;
   2679             else if ( ppem < 30 )
   2680               bdelta = ( base_delta * (FT_Pos)( 30 - ppem ) ) / 20;
   2681 
   2682             if ( bdelta < 0 )
   2683               bdelta = -bdelta;
   2684           }
   2685 
   2686           dist = ( dist - bdelta + 32 ) & ~63;
   2687         }
   2688       }
   2689     }
   2690     else
   2691     {
   2692       /* strong hinting process: snap the stem width to integer pixels */
   2693 
   2694       FT_Pos  org_dist = dist;
   2695 
   2696 
   2697       dist = af_latin_snap_width( axis->widths, axis->width_count, dist );
   2698 
   2699       if ( vertical )
   2700       {
   2701         /* in the case of vertical hinting, always round */
   2702         /* the stem heights to integer pixels            */
   2703 
   2704         if ( dist >= 64 )
   2705           dist = ( dist + 16 ) & ~63;
   2706         else
   2707           dist = 64;
   2708       }
   2709       else
   2710       {
   2711         if ( AF_LATIN_HINTS_DO_MONO( hints ) )
   2712         {
   2713           /* monochrome horizontal hinting: snap widths to integer pixels */
   2714           /* with a different threshold                                   */
   2715 
   2716           if ( dist < 64 )
   2717             dist = 64;
   2718           else
   2719             dist = ( dist + 32 ) & ~63;
   2720         }
   2721         else
   2722         {
   2723           /* for horizontal anti-aliased hinting, we adopt a more subtle */
   2724           /* approach: we strengthen small stems, round stems whose size */
   2725           /* is between 1 and 2 pixels to an integer, otherwise nothing  */
   2726 
   2727           if ( dist < 48 )
   2728             dist = ( dist + 64 ) >> 1;
   2729 
   2730           else if ( dist < 128 )
   2731           {
   2732             /* We only round to an integer width if the corresponding */
   2733             /* distortion is less than 1/4 pixel.  Otherwise this     */
   2734             /* makes everything worse since the diagonals, which are  */
   2735             /* not hinted, appear a lot bolder or thinner than the    */
   2736             /* vertical stems.                                        */
   2737 
   2738             FT_Pos  delta;
   2739 
   2740 
   2741             dist = ( dist + 22 ) & ~63;
   2742             delta = dist - org_dist;
   2743             if ( delta < 0 )
   2744               delta = -delta;
   2745 
   2746             if ( delta >= 16 )
   2747             {
   2748               dist = org_dist;
   2749               if ( dist < 48 )
   2750                 dist = ( dist + 64 ) >> 1;
   2751             }
   2752           }
   2753           else
   2754             /* round otherwise to prevent color fringes in LCD mode */
   2755             dist = ( dist + 32 ) & ~63;
   2756         }
   2757       }
   2758     }
   2759 
   2760   Done_Width:
   2761     if ( sign )
   2762       dist = -dist;
   2763 
   2764     return dist;
   2765   }
   2766 
   2767 
   2768   /* Align one stem edge relative to the previous stem edge. */
   2769 
   2770   static void
   2771   af_latin_align_linked_edge( AF_GlyphHints  hints,
   2772                               AF_Dimension   dim,
   2773                               AF_Edge        base_edge,
   2774                               AF_Edge        stem_edge )
   2775   {
   2776     FT_Pos  dist, base_delta;
   2777     FT_Pos  fitted_width;
   2778 
   2779 
   2780     dist       = stem_edge->opos - base_edge->opos;
   2781     base_delta = base_edge->pos - base_edge->opos;
   2782 
   2783     fitted_width = af_latin_compute_stem_width( hints, dim,
   2784                                                 dist, base_delta,
   2785                                                 base_edge->flags,
   2786                                                 stem_edge->flags );
   2787 
   2788 
   2789     stem_edge->pos = base_edge->pos + fitted_width;
   2790 
   2791     FT_TRACE5(( "  LINK: edge %d (opos=%.2f) linked to %.2f,"
   2792                 " dist was %.2f, now %.2f\n",
   2793                 stem_edge - hints->axis[dim].edges, stem_edge->opos / 64.0,
   2794                 stem_edge->pos / 64.0, dist / 64.0, fitted_width / 64.0 ));
   2795   }
   2796 
   2797 
   2798   /* Shift the coordinates of the `serif' edge by the same amount */
   2799   /* as the corresponding `base' edge has been moved already.     */
   2800 
   2801   static void
   2802   af_latin_align_serif_edge( AF_GlyphHints  hints,
   2803                              AF_Edge        base,
   2804                              AF_Edge        serif )
   2805   {
   2806     FT_UNUSED( hints );
   2807 
   2808     serif->pos = base->pos + ( serif->opos - base->opos );
   2809   }
   2810 
   2811 
   2812   /*************************************************************************/
   2813   /*************************************************************************/
   2814   /*************************************************************************/
   2815   /****                                                                 ****/
   2816   /****                    E D G E   H I N T I N G                      ****/
   2817   /****                                                                 ****/
   2818   /*************************************************************************/
   2819   /*************************************************************************/
   2820   /*************************************************************************/
   2821 
   2822 
   2823   /* The main grid-fitting routine. */
   2824 
   2825   static void
   2826   af_latin_hint_edges( AF_GlyphHints  hints,
   2827                        AF_Dimension   dim )
   2828   {
   2829     AF_AxisHints  axis       = &hints->axis[dim];
   2830     AF_Edge       edges      = axis->edges;
   2831     AF_Edge       edge_limit = edges + axis->num_edges;
   2832     FT_PtrDist    n_edges;
   2833     AF_Edge       edge;
   2834     AF_Edge       anchor     = NULL;
   2835     FT_Int        has_serifs = 0;
   2836 
   2837     AF_StyleClass   style_class  = hints->metrics->style_class;
   2838     AF_ScriptClass  script_class = AF_SCRIPT_CLASSES_GET
   2839                                      [style_class->script];
   2840 
   2841     FT_Bool  top_to_bottom_hinting = 0;
   2842 
   2843 #ifdef FT_DEBUG_LEVEL_TRACE
   2844     FT_UInt  num_actions = 0;
   2845 #endif
   2846 
   2847 
   2848     FT_TRACE5(( "latin %s edge hinting (style `%s')\n",
   2849                 dim == AF_DIMENSION_VERT ? "horizontal" : "vertical",
   2850                 af_style_names[hints->metrics->style_class->style] ));
   2851 
   2852     if ( dim == AF_DIMENSION_VERT )
   2853       top_to_bottom_hinting = script_class->top_to_bottom_hinting;
   2854 
   2855     /* we begin by aligning all stems relative to the blue zone */
   2856     /* if needed -- that's only for horizontal edges            */
   2857 
   2858     if ( dim == AF_DIMENSION_VERT && AF_HINTS_DO_BLUES( hints ) )
   2859     {
   2860       for ( edge = edges; edge < edge_limit; edge++ )
   2861       {
   2862         AF_Width  blue;
   2863         AF_Edge   edge1, edge2; /* these edges form the stem to check */
   2864 
   2865 
   2866         if ( edge->flags & AF_EDGE_DONE )
   2867           continue;
   2868 
   2869         edge1 = NULL;
   2870         edge2 = edge->link;
   2871 
   2872         /*
   2873          *  If a stem contains both a neutral and a non-neutral blue zone,
   2874          *  skip the neutral one.  Otherwise, outlines with different
   2875          *  directions might be incorrectly aligned at the same vertical
   2876          *  position.
   2877          *
   2878          *  If we have two neutral blue zones, skip one of them.
   2879          *
   2880          */
   2881         if ( edge->blue_edge && edge2 && edge2->blue_edge )
   2882         {
   2883           FT_Byte  neutral  = edge->flags  & AF_EDGE_NEUTRAL;
   2884           FT_Byte  neutral2 = edge2->flags & AF_EDGE_NEUTRAL;
   2885 
   2886 
   2887           if ( neutral2 )
   2888           {
   2889             edge2->blue_edge = NULL;
   2890             edge2->flags    &= ~AF_EDGE_NEUTRAL;
   2891           }
   2892           else if ( neutral )
   2893           {
   2894             edge->blue_edge = NULL;
   2895             edge->flags    &= ~AF_EDGE_NEUTRAL;
   2896           }
   2897         }
   2898 
   2899         blue = edge->blue_edge;
   2900         if ( blue )
   2901           edge1 = edge;
   2902 
   2903         /* flip edges if the other edge is aligned to a blue zone */
   2904         else if ( edge2 && edge2->blue_edge )
   2905         {
   2906           blue  = edge2->blue_edge;
   2907           edge1 = edge2;
   2908           edge2 = edge;
   2909         }
   2910 
   2911         if ( !edge1 )
   2912           continue;
   2913 
   2914 #ifdef FT_DEBUG_LEVEL_TRACE
   2915         if ( !anchor )
   2916           FT_TRACE5(( "  BLUE_ANCHOR: edge %d (opos=%.2f) snapped to %.2f,"
   2917                       " was %.2f (anchor=edge %d)\n",
   2918                       edge1 - edges, edge1->opos / 64.0, blue->fit / 64.0,
   2919                       edge1->pos / 64.0, edge - edges ));
   2920         else
   2921           FT_TRACE5(( "  BLUE: edge %d (opos=%.2f) snapped to %.2f,"
   2922                       " was %.2f\n",
   2923                       edge1 - edges, edge1->opos / 64.0, blue->fit / 64.0,
   2924                       edge1->pos / 64.0 ));
   2925 
   2926         num_actions++;
   2927 #endif
   2928 
   2929         edge1->pos    = blue->fit;
   2930         edge1->flags |= AF_EDGE_DONE;
   2931 
   2932         if ( edge2 && !edge2->blue_edge )
   2933         {
   2934           af_latin_align_linked_edge( hints, dim, edge1, edge2 );
   2935           edge2->flags |= AF_EDGE_DONE;
   2936 
   2937 #ifdef FT_DEBUG_LEVEL_TRACE
   2938           num_actions++;
   2939 #endif
   2940         }
   2941 
   2942         if ( !anchor )
   2943           anchor = edge;
   2944       }
   2945     }
   2946 
   2947     /* now we align all other stem edges, trying to maintain the */
   2948     /* relative order of stems in the glyph                      */
   2949     for ( edge = edges; edge < edge_limit; edge++ )
   2950     {
   2951       AF_Edge  edge2;
   2952 
   2953 
   2954       if ( edge->flags & AF_EDGE_DONE )
   2955         continue;
   2956 
   2957       /* skip all non-stem edges */
   2958       edge2 = edge->link;
   2959       if ( !edge2 )
   2960       {
   2961         has_serifs++;
   2962         continue;
   2963       }
   2964 
   2965       /* now align the stem */
   2966 
   2967       /* this should not happen, but it's better to be safe */
   2968       if ( edge2->blue_edge )
   2969       {
   2970         FT_TRACE5(( "  ASSERTION FAILED for edge %d\n", edge2 - edges ));
   2971 
   2972         af_latin_align_linked_edge( hints, dim, edge2, edge );
   2973         edge->flags |= AF_EDGE_DONE;
   2974 
   2975 #ifdef FT_DEBUG_LEVEL_TRACE
   2976         num_actions++;
   2977 #endif
   2978         continue;
   2979       }
   2980 
   2981       if ( !anchor )
   2982       {
   2983         /* if we reach this if clause, no stem has been aligned yet */
   2984 
   2985         FT_Pos  org_len, org_center, cur_len;
   2986         FT_Pos  cur_pos1, error1, error2, u_off, d_off;
   2987 
   2988 
   2989         org_len = edge2->opos - edge->opos;
   2990         cur_len = af_latin_compute_stem_width( hints, dim,
   2991                                                org_len, 0,
   2992                                                edge->flags,
   2993                                                edge2->flags );
   2994 
   2995         /* some voodoo to specially round edges for small stem widths; */
   2996         /* the idea is to align the center of a stem, then shifting    */
   2997         /* the stem edges to suitable positions                        */
   2998         if ( cur_len <= 64 )
   2999         {
   3000           /* width <= 1px */
   3001           u_off = 32;
   3002           d_off = 32;
   3003         }
   3004         else
   3005         {
   3006           /* 1px < width < 1.5px */
   3007           u_off = 38;
   3008           d_off = 26;
   3009         }
   3010 
   3011         if ( cur_len < 96 )
   3012         {
   3013           org_center = edge->opos + ( org_len >> 1 );
   3014           cur_pos1   = FT_PIX_ROUND( org_center );
   3015 
   3016           error1 = org_center - ( cur_pos1 - u_off );
   3017           if ( error1 < 0 )
   3018             error1 = -error1;
   3019 
   3020           error2 = org_center - ( cur_pos1 + d_off );
   3021           if ( error2 < 0 )
   3022             error2 = -error2;
   3023 
   3024           if ( error1 < error2 )
   3025             cur_pos1 -= u_off;
   3026           else
   3027             cur_pos1 += d_off;
   3028 
   3029           edge->pos  = cur_pos1 - cur_len / 2;
   3030           edge2->pos = edge->pos + cur_len;
   3031         }
   3032         else
   3033           edge->pos = FT_PIX_ROUND( edge->opos );
   3034 
   3035         anchor       = edge;
   3036         edge->flags |= AF_EDGE_DONE;
   3037 
   3038         FT_TRACE5(( "  ANCHOR: edge %d (opos=%.2f) and %d (opos=%.2f)"
   3039                     " snapped to %.2f and %.2f\n",
   3040                     edge - edges, edge->opos / 64.0,
   3041                     edge2 - edges, edge2->opos / 64.0,
   3042                     edge->pos / 64.0, edge2->pos / 64.0 ));
   3043 
   3044         af_latin_align_linked_edge( hints, dim, edge, edge2 );
   3045 
   3046 #ifdef FT_DEBUG_LEVEL_TRACE
   3047         num_actions += 2;
   3048 #endif
   3049       }
   3050       else
   3051       {
   3052         FT_Pos  org_pos, org_len, org_center, cur_len;
   3053         FT_Pos  cur_pos1, cur_pos2, delta1, delta2;
   3054 
   3055 
   3056         org_pos    = anchor->pos + ( edge->opos - anchor->opos );
   3057         org_len    = edge2->opos - edge->opos;
   3058         org_center = org_pos + ( org_len >> 1 );
   3059 
   3060         cur_len = af_latin_compute_stem_width( hints, dim,
   3061                                                org_len, 0,
   3062                                                edge->flags,
   3063                                                edge2->flags );
   3064 
   3065         if ( edge2->flags & AF_EDGE_DONE )
   3066         {
   3067           FT_TRACE5(( "  ADJUST: edge %d (pos=%.2f) moved to %.2f\n",
   3068                       edge - edges, edge->pos / 64.0,
   3069                       ( edge2->pos - cur_len ) / 64.0 ));
   3070 
   3071           edge->pos = edge2->pos - cur_len;
   3072         }
   3073 
   3074         else if ( cur_len < 96 )
   3075         {
   3076           FT_Pos  u_off, d_off;
   3077 
   3078 
   3079           cur_pos1 = FT_PIX_ROUND( org_center );
   3080 
   3081           if ( cur_len <= 64 )
   3082           {
   3083             u_off = 32;
   3084             d_off = 32;
   3085           }
   3086           else
   3087           {
   3088             u_off = 38;
   3089             d_off = 26;
   3090           }
   3091 
   3092           delta1 = org_center - ( cur_pos1 - u_off );
   3093           if ( delta1 < 0 )
   3094             delta1 = -delta1;
   3095 
   3096           delta2 = org_center - ( cur_pos1 + d_off );
   3097           if ( delta2 < 0 )
   3098             delta2 = -delta2;
   3099 
   3100           if ( delta1 < delta2 )
   3101             cur_pos1 -= u_off;
   3102           else
   3103             cur_pos1 += d_off;
   3104 
   3105           edge->pos  = cur_pos1 - cur_len / 2;
   3106           edge2->pos = cur_pos1 + cur_len / 2;
   3107 
   3108           FT_TRACE5(( "  STEM: edge %d (opos=%.2f) linked to %d (opos=%.2f)"
   3109                       " snapped to %.2f and %.2f\n",
   3110                       edge - edges, edge->opos / 64.0,
   3111                       edge2 - edges, edge2->opos / 64.0,
   3112                       edge->pos / 64.0, edge2->pos / 64.0 ));
   3113         }
   3114 
   3115         else
   3116         {
   3117           org_pos    = anchor->pos + ( edge->opos - anchor->opos );
   3118           org_len    = edge2->opos - edge->opos;
   3119           org_center = org_pos + ( org_len >> 1 );
   3120 
   3121           cur_len    = af_latin_compute_stem_width( hints, dim,
   3122                                                     org_len, 0,
   3123                                                     edge->flags,
   3124                                                     edge2->flags );
   3125 
   3126           cur_pos1 = FT_PIX_ROUND( org_pos );
   3127           delta1   = cur_pos1 + ( cur_len >> 1 ) - org_center;
   3128           if ( delta1 < 0 )
   3129             delta1 = -delta1;
   3130 
   3131           cur_pos2 = FT_PIX_ROUND( org_pos + org_len ) - cur_len;
   3132           delta2   = cur_pos2 + ( cur_len >> 1 ) - org_center;
   3133           if ( delta2 < 0 )
   3134             delta2 = -delta2;
   3135 
   3136           edge->pos  = ( delta1 < delta2 ) ? cur_pos1 : cur_pos2;
   3137           edge2->pos = edge->pos + cur_len;
   3138 
   3139           FT_TRACE5(( "  STEM: edge %d (opos=%.2f) linked to %d (opos=%.2f)"
   3140                       " snapped to %.2f and %.2f\n",
   3141                       edge - edges, edge->opos / 64.0,
   3142                       edge2 - edges, edge2->opos / 64.0,
   3143                       edge->pos / 64.0, edge2->pos / 64.0 ));
   3144         }
   3145 
   3146 #ifdef FT_DEBUG_LEVEL_TRACE
   3147         num_actions++;
   3148 #endif
   3149 
   3150         edge->flags  |= AF_EDGE_DONE;
   3151         edge2->flags |= AF_EDGE_DONE;
   3152 
   3153         if ( edge > edges                                             &&
   3154              ( top_to_bottom_hinting ? ( edge->pos > edge[-1].pos )
   3155                                      : ( edge->pos < edge[-1].pos ) ) )
   3156         {
   3157           /* don't move if stem would (almost) disappear otherwise; */
   3158           /* the ad-hoc value 16 corresponds to 1/4px               */
   3159           if ( edge->link && FT_ABS( edge->link->pos - edge[-1].pos ) > 16 )
   3160           {
   3161 #ifdef FT_DEBUG_LEVEL_TRACE
   3162             FT_TRACE5(( "  BOUND: edge %d (pos=%.2f) moved to %.2f\n",
   3163                         edge - edges,
   3164                         edge->pos / 64.0,
   3165                         edge[-1].pos / 64.0 ));
   3166 
   3167             num_actions++;
   3168 #endif
   3169 
   3170             edge->pos = edge[-1].pos;
   3171           }
   3172         }
   3173       }
   3174     }
   3175 
   3176     /* make sure that lowercase m's maintain their symmetry */
   3177 
   3178     /* In general, lowercase m's have six vertical edges if they are sans */
   3179     /* serif, or twelve if they are with serifs.  This implementation is  */
   3180     /* based on that assumption, and seems to work very well with most    */
   3181     /* faces.  However, if for a certain face this assumption is not      */
   3182     /* true, the m is just rendered like before.  In addition, any stem   */
   3183     /* correction will only be applied to symmetrical glyphs (even if the */
   3184     /* glyph is not an m), so the potential for unwanted distortion is    */
   3185     /* relatively low.                                                    */
   3186 
   3187     /* We don't handle horizontal edges since we can't easily assure that */
   3188     /* the third (lowest) stem aligns with the base line; it might end up */
   3189     /* one pixel higher or lower.                                         */
   3190 
   3191     n_edges = edge_limit - edges;
   3192     if ( dim == AF_DIMENSION_HORZ && ( n_edges == 6 || n_edges == 12 ) )
   3193     {
   3194       AF_Edge  edge1, edge2, edge3;
   3195       FT_Pos   dist1, dist2, span, delta;
   3196 
   3197 
   3198       if ( n_edges == 6 )
   3199       {
   3200         edge1 = edges;
   3201         edge2 = edges + 2;
   3202         edge3 = edges + 4;
   3203       }
   3204       else
   3205       {
   3206         edge1 = edges + 1;
   3207         edge2 = edges + 5;
   3208         edge3 = edges + 9;
   3209       }
   3210 
   3211       dist1 = edge2->opos - edge1->opos;
   3212       dist2 = edge3->opos - edge2->opos;
   3213 
   3214       span = dist1 - dist2;
   3215       if ( span < 0 )
   3216         span = -span;
   3217 
   3218       if ( span < 8 )
   3219       {
   3220         delta = edge3->pos - ( 2 * edge2->pos - edge1->pos );
   3221         edge3->pos -= delta;
   3222         if ( edge3->link )
   3223           edge3->link->pos -= delta;
   3224 
   3225         /* move the serifs along with the stem */
   3226         if ( n_edges == 12 )
   3227         {
   3228           ( edges + 8 )->pos -= delta;
   3229           ( edges + 11 )->pos -= delta;
   3230         }
   3231 
   3232         edge3->flags |= AF_EDGE_DONE;
   3233         if ( edge3->link )
   3234           edge3->link->flags |= AF_EDGE_DONE;
   3235       }
   3236     }
   3237 
   3238     if ( has_serifs || !anchor )
   3239     {
   3240       /*
   3241        *  now hint the remaining edges (serifs and single) in order
   3242        *  to complete our processing
   3243        */
   3244       for ( edge = edges; edge < edge_limit; edge++ )
   3245       {
   3246         FT_Pos  delta;
   3247 
   3248 
   3249         if ( edge->flags & AF_EDGE_DONE )
   3250           continue;
   3251 
   3252         delta = 1000;
   3253 
   3254         if ( edge->serif )
   3255         {
   3256           delta = edge->serif->opos - edge->opos;
   3257           if ( delta < 0 )
   3258             delta = -delta;
   3259         }
   3260 
   3261         if ( delta < 64 + 16 )
   3262         {
   3263           af_latin_align_serif_edge( hints, edge->serif, edge );
   3264           FT_TRACE5(( "  SERIF: edge %d (opos=%.2f) serif to %d (opos=%.2f)"
   3265                       " aligned to %.2f\n",
   3266                       edge - edges, edge->opos / 64.0,
   3267                       edge->serif - edges, edge->serif->opos / 64.0,
   3268                       edge->pos / 64.0 ));
   3269         }
   3270         else if ( !anchor )
   3271         {
   3272           edge->pos = FT_PIX_ROUND( edge->opos );
   3273           anchor    = edge;
   3274           FT_TRACE5(( "  SERIF_ANCHOR: edge %d (opos=%.2f)"
   3275                       " snapped to %.2f\n",
   3276                       edge-edges, edge->opos / 64.0, edge->pos / 64.0 ));
   3277         }
   3278         else
   3279         {
   3280           AF_Edge  before, after;
   3281 
   3282 
   3283           for ( before = edge - 1; before >= edges; before-- )
   3284             if ( before->flags & AF_EDGE_DONE )
   3285               break;
   3286 
   3287           for ( after = edge + 1; after < edge_limit; after++ )
   3288             if ( after->flags & AF_EDGE_DONE )
   3289               break;
   3290 
   3291           if ( before >= edges && before < edge   &&
   3292                after < edge_limit && after > edge )
   3293           {
   3294             if ( after->opos == before->opos )
   3295               edge->pos = before->pos;
   3296             else
   3297               edge->pos = before->pos +
   3298                           FT_MulDiv( edge->opos - before->opos,
   3299                                      after->pos - before->pos,
   3300                                      after->opos - before->opos );
   3301 
   3302             FT_TRACE5(( "  SERIF_LINK1: edge %d (opos=%.2f) snapped to %.2f"
   3303                         " from %d (opos=%.2f)\n",
   3304                         edge - edges, edge->opos / 64.0,
   3305                         edge->pos / 64.0,
   3306                         before - edges, before->opos / 64.0 ));
   3307           }
   3308           else
   3309           {
   3310             edge->pos = anchor->pos +
   3311                         ( ( edge->opos - anchor->opos + 16 ) & ~31 );
   3312             FT_TRACE5(( "  SERIF_LINK2: edge %d (opos=%.2f)"
   3313                         " snapped to %.2f\n",
   3314                         edge - edges, edge->opos / 64.0, edge->pos / 64.0 ));
   3315           }
   3316         }
   3317 
   3318 #ifdef FT_DEBUG_LEVEL_TRACE
   3319         num_actions++;
   3320 #endif
   3321         edge->flags |= AF_EDGE_DONE;
   3322 
   3323         if ( edge > edges                                             &&
   3324              ( top_to_bottom_hinting ? ( edge->pos > edge[-1].pos )
   3325                                      : ( edge->pos < edge[-1].pos ) ) )
   3326         {
   3327           /* don't move if stem would (almost) disappear otherwise; */
   3328           /* the ad-hoc value 16 corresponds to 1/4px               */
   3329           if ( edge->link && FT_ABS( edge->link->pos - edge[-1].pos ) > 16 )
   3330           {
   3331 #ifdef FT_DEBUG_LEVEL_TRACE
   3332             FT_TRACE5(( "  BOUND: edge %d (pos=%.2f) moved to %.2f\n",
   3333                         edge - edges,
   3334                         edge->pos / 64.0,
   3335                         edge[-1].pos / 64.0 ));
   3336 
   3337             num_actions++;
   3338 #endif
   3339             edge->pos = edge[-1].pos;
   3340           }
   3341         }
   3342 
   3343         if ( edge + 1 < edge_limit                                   &&
   3344              edge[1].flags & AF_EDGE_DONE                            &&
   3345              ( top_to_bottom_hinting ? ( edge->pos < edge[1].pos )
   3346                                      : ( edge->pos > edge[1].pos ) ) )
   3347         {
   3348           /* don't move if stem would (almost) disappear otherwise; */
   3349           /* the ad-hoc value 16 corresponds to 1/4px               */
   3350           if ( edge->link && FT_ABS( edge->link->pos - edge[-1].pos ) > 16 )
   3351           {
   3352 #ifdef FT_DEBUG_LEVEL_TRACE
   3353             FT_TRACE5(( "  BOUND: edge %d (pos=%.2f) moved to %.2f\n",
   3354                         edge - edges,
   3355                         edge->pos / 64.0,
   3356                         edge[1].pos / 64.0 ));
   3357 
   3358             num_actions++;
   3359 #endif
   3360 
   3361             edge->pos = edge[1].pos;
   3362           }
   3363         }
   3364       }
   3365     }
   3366 
   3367 #ifdef FT_DEBUG_LEVEL_TRACE
   3368     if ( !num_actions )
   3369       FT_TRACE5(( "  (none)\n" ));
   3370     FT_TRACE5(( "\n" ));
   3371 #endif
   3372   }
   3373 
   3374 
   3375   /* Apply the complete hinting algorithm to a latin glyph. */
   3376 
   3377   static FT_Error
   3378   af_latin_hints_apply( FT_UInt          glyph_index,
   3379                         AF_GlyphHints    hints,
   3380                         FT_Outline*      outline,
   3381                         AF_LatinMetrics  metrics )
   3382   {
   3383     FT_Error  error;
   3384     int       dim;
   3385 
   3386     AF_LatinAxis  axis;
   3387 
   3388 
   3389     error = af_glyph_hints_reload( hints, outline );
   3390     if ( error )
   3391       goto Exit;
   3392 
   3393     /* analyze glyph outline */
   3394 #ifdef AF_CONFIG_OPTION_USE_WARPER
   3395     if ( ( metrics->root.scaler.render_mode == FT_RENDER_MODE_LIGHT &&
   3396            AF_HINTS_DO_WARP( hints )                                ) ||
   3397          AF_HINTS_DO_HORIZONTAL( hints )                              )
   3398 #else
   3399     if ( AF_HINTS_DO_HORIZONTAL( hints ) )
   3400 #endif
   3401     {
   3402       axis  = &metrics->axis[AF_DIMENSION_HORZ];
   3403       error = af_latin_hints_detect_features( hints,
   3404                                               axis->width_count,
   3405                                               axis->widths,
   3406                                               AF_DIMENSION_HORZ );
   3407       if ( error )
   3408         goto Exit;
   3409     }
   3410 
   3411     if ( AF_HINTS_DO_VERTICAL( hints ) )
   3412     {
   3413       axis  = &metrics->axis[AF_DIMENSION_VERT];
   3414       error = af_latin_hints_detect_features( hints,
   3415                                               axis->width_count,
   3416                                               axis->widths,
   3417                                               AF_DIMENSION_VERT );
   3418       if ( error )
   3419         goto Exit;
   3420 
   3421       /* apply blue zones to base characters only */
   3422       if ( !( metrics->root.globals->glyph_styles[glyph_index] & AF_NONBASE ) )
   3423         af_latin_hints_compute_blue_edges( hints, metrics );
   3424     }
   3425 
   3426     /* grid-fit the outline */
   3427     for ( dim = 0; dim < AF_DIMENSION_MAX; dim++ )
   3428     {
   3429 #ifdef AF_CONFIG_OPTION_USE_WARPER
   3430       if ( dim == AF_DIMENSION_HORZ                                 &&
   3431            metrics->root.scaler.render_mode == FT_RENDER_MODE_LIGHT &&
   3432            AF_HINTS_DO_WARP( hints )                                )
   3433       {
   3434         AF_WarperRec  warper;
   3435         FT_Fixed      scale;
   3436         FT_Pos        delta;
   3437 
   3438 
   3439         af_warper_compute( &warper, hints, (AF_Dimension)dim,
   3440                            &scale, &delta );
   3441         af_glyph_hints_scale_dim( hints, (AF_Dimension)dim,
   3442                                   scale, delta );
   3443         continue;
   3444       }
   3445 #endif /* AF_CONFIG_OPTION_USE_WARPER */
   3446 
   3447       if ( ( dim == AF_DIMENSION_HORZ && AF_HINTS_DO_HORIZONTAL( hints ) ) ||
   3448            ( dim == AF_DIMENSION_VERT && AF_HINTS_DO_VERTICAL( hints ) )   )
   3449       {
   3450         af_latin_hint_edges( hints, (AF_Dimension)dim );
   3451         af_glyph_hints_align_edge_points( hints, (AF_Dimension)dim );
   3452         af_glyph_hints_align_strong_points( hints, (AF_Dimension)dim );
   3453         af_glyph_hints_align_weak_points( hints, (AF_Dimension)dim );
   3454       }
   3455     }
   3456 
   3457     af_glyph_hints_save( hints, outline );
   3458 
   3459   Exit:
   3460     return error;
   3461   }
   3462 
   3463 
   3464   /*************************************************************************/
   3465   /*************************************************************************/
   3466   /*****                                                               *****/
   3467   /*****              L A T I N   S C R I P T   C L A S S              *****/
   3468   /*****                                                               *****/
   3469   /*************************************************************************/
   3470   /*************************************************************************/
   3471 
   3472 
   3473   AF_DEFINE_WRITING_SYSTEM_CLASS(
   3474     af_latin_writing_system_class,
   3475 
   3476     AF_WRITING_SYSTEM_LATIN,
   3477 
   3478     sizeof ( AF_LatinMetricsRec ),
   3479 
   3480     (AF_WritingSystem_InitMetricsFunc) af_latin_metrics_init,
   3481     (AF_WritingSystem_ScaleMetricsFunc)af_latin_metrics_scale,
   3482     (AF_WritingSystem_DoneMetricsFunc) NULL,
   3483     (AF_WritingSystem_GetStdWidthsFunc)af_latin_get_standard_widths,
   3484 
   3485     (AF_WritingSystem_InitHintsFunc)   af_latin_hints_init,
   3486     (AF_WritingSystem_ApplyHintsFunc)  af_latin_hints_apply
   3487   )
   3488 
   3489 
   3490 /* END */
   3491