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      1 /****************************************************************************
      2  *
      3  * aflatin.c
      4  *
      5  *   Auto-fitter hinting routines for latin writing system (body).
      6  *
      7  * Copyright 2003-2018 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 "aflatin.h"
     25 #include "aferrors.h"
     26 
     27 
     28 #ifdef AF_CONFIG_OPTION_USE_WARPER
     29 #include "afwarp.h"
     30 #endif
     31 
     32 
     33   /**************************************************************************
     34    *
     35    * The macro FT_COMPONENT is used in trace mode.  It is an implicit
     36    * parameter of the FT_TRACE() and FT_ERROR() macros, used to print/log
     37    * messages during execution.
     38    */
     39 #undef  FT_COMPONENT
     40 #define FT_COMPONENT  trace_aflatin
     41 
     42 
     43   /* needed for computation of round vs. flat segments */
     44 #define FLAT_THRESHOLD( x )  ( x / 14 )
     45 
     46 
     47   /*************************************************************************/
     48   /*************************************************************************/
     49   /*****                                                               *****/
     50   /*****            L A T I N   G L O B A L   M E T R I C S            *****/
     51   /*****                                                               *****/
     52   /*************************************************************************/
     53   /*************************************************************************/
     54 
     55 
     56   /* Find segments and links, compute all stem widths, and initialize */
     57   /* standard width and height for the glyph with given charcode.     */
     58 
     59   FT_LOCAL_DEF( void )
     60   af_latin_metrics_init_widths( AF_LatinMetrics  metrics,
     61                                 FT_Face          face )
     62   {
     63     /* scan the array of segments in each direction */
     64     AF_GlyphHintsRec  hints[1];
     65 
     66 
     67     FT_TRACE5(( "\n"
     68                 "latin standard widths computation (style `%s')\n"
     69                 "=====================================================\n"
     70                 "\n",
     71                 af_style_names[metrics->root.style_class->style] ));
     72 
     73     af_glyph_hints_init( hints, face->memory );
     74 
     75     metrics->axis[AF_DIMENSION_HORZ].width_count = 0;
     76     metrics->axis[AF_DIMENSION_VERT].width_count = 0;
     77 
     78     {
     79       FT_Error            error;
     80       FT_ULong            glyph_index;
     81       int                 dim;
     82       AF_LatinMetricsRec  dummy[1];
     83       AF_Scaler           scaler = &dummy->root.scaler;
     84 
     85       AF_StyleClass   style_class  = metrics->root.style_class;
     86       AF_ScriptClass  script_class = af_script_classes[style_class->script];
     87 
     88       /* If HarfBuzz is not available, we need a pointer to a single */
     89       /* unsigned long value.                                        */
     90 #ifdef FT_CONFIG_OPTION_USE_HARFBUZZ
     91       void*     shaper_buf;
     92 #else
     93       FT_ULong  shaper_buf_;
     94       void*     shaper_buf = &shaper_buf_;
     95 #endif
     96 
     97       const char*  p;
     98 
     99 #ifdef FT_DEBUG_LEVEL_TRACE
    100       FT_ULong  ch = 0;
    101 #endif
    102 
    103 
    104       p = script_class->standard_charstring;
    105 
    106 #ifdef FT_CONFIG_OPTION_USE_HARFBUZZ
    107       shaper_buf = af_shaper_buf_create( face );
    108 #endif
    109       /*
    110        * We check a list of standard characters to catch features like
    111        * `c2sc' (small caps from caps) that don't contain lowercase letters
    112        * by definition, or other features that mainly operate on numerals.
    113        * The first match wins.
    114        */
    115 
    116       glyph_index = 0;
    117       while ( *p )
    118       {
    119         unsigned int  num_idx;
    120 
    121 #ifdef FT_DEBUG_LEVEL_TRACE
    122         const char*  p_old;
    123 #endif
    124 
    125 
    126         while ( *p == ' ' )
    127           p++;
    128 
    129 #ifdef FT_DEBUG_LEVEL_TRACE
    130         p_old = p;
    131         GET_UTF8_CHAR( ch, p_old );
    132 #endif
    133 
    134         /* reject input that maps to more than a single glyph */
    135         p = af_shaper_get_cluster( p, &metrics->root, shaper_buf, &num_idx );
    136         if ( num_idx > 1 )
    137           continue;
    138 
    139         /* otherwise exit loop if we have a result */
    140         glyph_index = af_shaper_get_elem( &metrics->root,
    141                                           shaper_buf,
    142                                           0,
    143                                           NULL,
    144                                           NULL );
    145         if ( glyph_index )
    146           break;
    147       }
    148 
    149       af_shaper_buf_destroy( face, shaper_buf );
    150 
    151       if ( !glyph_index )
    152         goto Exit;
    153 
    154       FT_TRACE5(( "standard character: U+%04lX (glyph index %d)\n",
    155                   ch, glyph_index ));
    156 
    157       error = FT_Load_Glyph( face, glyph_index, FT_LOAD_NO_SCALE );
    158       if ( error || face->glyph->outline.n_points <= 0 )
    159         goto Exit;
    160 
    161       FT_ZERO( dummy );
    162 
    163       dummy->units_per_em = metrics->units_per_em;
    164 
    165       scaler->x_scale = 0x10000L;
    166       scaler->y_scale = 0x10000L;
    167       scaler->x_delta = 0;
    168       scaler->y_delta = 0;
    169 
    170       scaler->face        = face;
    171       scaler->render_mode = FT_RENDER_MODE_NORMAL;
    172       scaler->flags       = 0;
    173 
    174       af_glyph_hints_rescale( hints, (AF_StyleMetrics)dummy );
    175 
    176       error = af_glyph_hints_reload( hints, &face->glyph->outline );
    177       if ( error )
    178         goto Exit;
    179 
    180       for ( dim = 0; dim < AF_DIMENSION_MAX; dim++ )
    181       {
    182         AF_LatinAxis  axis    = &metrics->axis[dim];
    183         AF_AxisHints  axhints = &hints->axis[dim];
    184         AF_Segment    seg, limit, link;
    185         FT_UInt       num_widths = 0;
    186 
    187 
    188         error = af_latin_hints_compute_segments( hints,
    189                                                  (AF_Dimension)dim );
    190         if ( error )
    191           goto Exit;
    192 
    193         /*
    194          * We assume that the glyphs selected for the stem width
    195          * computation are `featureless' enough so that the linking
    196          * algorithm works fine without adjustments of its scoring
    197          * function.
    198          */
    199         af_latin_hints_link_segments( hints,
    200                                       0,
    201                                       NULL,
    202                                       (AF_Dimension)dim );
    203 
    204         seg   = axhints->segments;
    205         limit = seg + axhints->num_segments;
    206 
    207         for ( ; seg < limit; seg++ )
    208         {
    209           link = seg->link;
    210 
    211           /* we only consider stem segments there! */
    212           if ( link && link->link == seg && link > seg )
    213           {
    214             FT_Pos  dist;
    215 
    216 
    217             dist = seg->pos - link->pos;
    218             if ( dist < 0 )
    219               dist = -dist;
    220 
    221             if ( num_widths < AF_LATIN_MAX_WIDTHS )
    222               axis->widths[num_widths++].org = dist;
    223           }
    224         }
    225 
    226         /* this also replaces multiple almost identical stem widths */
    227         /* with a single one (the value 100 is heuristic)           */
    228         af_sort_and_quantize_widths( &num_widths, axis->widths,
    229                                      dummy->units_per_em / 100 );
    230         axis->width_count = num_widths;
    231       }
    232 
    233     Exit:
    234       for ( dim = 0; dim < AF_DIMENSION_MAX; dim++ )
    235       {
    236         AF_LatinAxis  axis = &metrics->axis[dim];
    237         FT_Pos        stdw;
    238 
    239 
    240         stdw = ( axis->width_count > 0 ) ? axis->widths[0].org
    241                                          : AF_LATIN_CONSTANT( metrics, 50 );
    242 
    243         /* let's try 20% of the smallest width */
    244         axis->edge_distance_threshold = stdw / 5;
    245         axis->standard_width          = stdw;
    246         axis->extra_light             = 0;
    247 
    248 #ifdef FT_DEBUG_LEVEL_TRACE
    249         {
    250           FT_UInt  i;
    251 
    252 
    253           FT_TRACE5(( "%s widths:\n",
    254                       dim == AF_DIMENSION_VERT ? "horizontal"
    255                                                : "vertical" ));
    256 
    257           FT_TRACE5(( "  %d (standard)", axis->standard_width ));
    258           for ( i = 1; i < axis->width_count; i++ )
    259             FT_TRACE5(( " %d", axis->widths[i].org ));
    260 
    261           FT_TRACE5(( "\n" ));
    262         }
    263 #endif
    264       }
    265     }
    266 
    267     FT_TRACE5(( "\n" ));
    268 
    269     af_glyph_hints_done( hints );
    270   }
    271 
    272 
    273   static void
    274   af_latin_sort_blue( FT_UInt        count,
    275                       AF_LatinBlue*  table )
    276   {
    277     FT_UInt       i, j;
    278     AF_LatinBlue  swap;
    279 
    280 
    281     /* we sort from bottom to top */
    282     for ( i = 1; i < count; i++ )
    283     {
    284       for ( j = i; j > 0; j-- )
    285       {
    286         FT_Pos  a, b;
    287 
    288 
    289         if ( table[j - 1]->flags & ( AF_LATIN_BLUE_TOP     |
    290                                      AF_LATIN_BLUE_SUB_TOP ) )
    291           a = table[j - 1]->ref.org;
    292         else
    293           a = table[j - 1]->shoot.org;
    294 
    295         if ( table[j]->flags & ( AF_LATIN_BLUE_TOP     |
    296                                  AF_LATIN_BLUE_SUB_TOP ) )
    297           b = table[j]->ref.org;
    298         else
    299           b = table[j]->shoot.org;
    300 
    301         if ( b >= a )
    302           break;
    303 
    304         swap         = table[j];
    305         table[j]     = table[j - 1];
    306         table[j - 1] = swap;
    307       }
    308     }
    309   }
    310 
    311 
    312   /* Find all blue zones.  Flat segments give the reference points, */
    313   /* round segments the overshoot positions.                        */
    314 
    315   static void
    316   af_latin_metrics_init_blues( AF_LatinMetrics  metrics,
    317                                FT_Face          face )
    318   {
    319     FT_Pos        flats [AF_BLUE_STRING_MAX_LEN];
    320     FT_Pos        rounds[AF_BLUE_STRING_MAX_LEN];
    321 
    322     FT_UInt       num_flats;
    323     FT_UInt       num_rounds;
    324 
    325     AF_LatinBlue  blue;
    326     FT_Error      error;
    327     AF_LatinAxis  axis = &metrics->axis[AF_DIMENSION_VERT];
    328     FT_Outline    outline;
    329 
    330     AF_StyleClass  sc = metrics->root.style_class;
    331 
    332     AF_Blue_Stringset         bss = sc->blue_stringset;
    333     const AF_Blue_StringRec*  bs  = &af_blue_stringsets[bss];
    334 
    335     FT_Pos  flat_threshold = FLAT_THRESHOLD( metrics->units_per_em );
    336 
    337     /* If HarfBuzz is not available, we need a pointer to a single */
    338     /* unsigned long value.                                        */
    339 #ifdef FT_CONFIG_OPTION_USE_HARFBUZZ
    340     void*     shaper_buf;
    341 #else
    342     FT_ULong  shaper_buf_;
    343     void*     shaper_buf = &shaper_buf_;
    344 #endif
    345 
    346 
    347     /* we walk over the blue character strings as specified in the */
    348     /* style's entry in the `af_blue_stringset' array              */
    349 
    350     FT_TRACE5(( "latin blue zones computation\n"
    351                 "============================\n"
    352                 "\n" ));
    353 
    354 #ifdef FT_CONFIG_OPTION_USE_HARFBUZZ
    355     shaper_buf = af_shaper_buf_create( face );
    356 #endif
    357 
    358     for ( ; bs->string != AF_BLUE_STRING_MAX; bs++ )
    359     {
    360       const char*  p = &af_blue_strings[bs->string];
    361       FT_Pos*      blue_ref;
    362       FT_Pos*      blue_shoot;
    363       FT_Pos       ascender;
    364       FT_Pos       descender;
    365 
    366 
    367 #ifdef FT_DEBUG_LEVEL_TRACE
    368       {
    369         FT_Bool  have_flag = 0;
    370 
    371 
    372         FT_TRACE5(( "blue zone %d", axis->blue_count ));
    373 
    374         if ( bs->properties )
    375         {
    376           FT_TRACE5(( " (" ));
    377 
    378           if ( AF_LATIN_IS_TOP_BLUE( bs ) )
    379           {
    380             FT_TRACE5(( "top" ));
    381             have_flag = 1;
    382           }
    383           else if ( AF_LATIN_IS_SUB_TOP_BLUE( bs ) )
    384           {
    385             FT_TRACE5(( "sub top" ));
    386             have_flag = 1;
    387           }
    388 
    389           if ( AF_LATIN_IS_NEUTRAL_BLUE( bs ) )
    390           {
    391             if ( have_flag )
    392               FT_TRACE5(( ", " ));
    393             FT_TRACE5(( "neutral" ));
    394             have_flag = 1;
    395           }
    396 
    397           if ( AF_LATIN_IS_X_HEIGHT_BLUE( bs ) )
    398           {
    399             if ( have_flag )
    400               FT_TRACE5(( ", " ));
    401             FT_TRACE5(( "small top" ));
    402             have_flag = 1;
    403           }
    404 
    405           if ( AF_LATIN_IS_LONG_BLUE( bs ) )
    406           {
    407             if ( have_flag )
    408               FT_TRACE5(( ", " ));
    409             FT_TRACE5(( "long" ));
    410           }
    411 
    412           FT_TRACE5(( ")" ));
    413         }
    414 
    415         FT_TRACE5(( ":\n" ));
    416       }
    417 #endif /* FT_DEBUG_LEVEL_TRACE */
    418 
    419       num_flats  = 0;
    420       num_rounds = 0;
    421       ascender   = 0;
    422       descender  = 0;
    423 
    424       while ( *p )
    425       {
    426         FT_ULong    glyph_index;
    427         FT_Long     y_offset;
    428         FT_Int      best_point, best_contour_first, best_contour_last;
    429         FT_Vector*  points;
    430 
    431         FT_Pos   best_y_extremum;                      /* same as points.y */
    432         FT_Bool  best_round = 0;
    433 
    434         unsigned int  i, num_idx;
    435 
    436 #ifdef FT_DEBUG_LEVEL_TRACE
    437         const char*  p_old;
    438         FT_ULong     ch;
    439 #endif
    440 
    441 
    442         while ( *p == ' ' )
    443           p++;
    444 
    445 #ifdef FT_DEBUG_LEVEL_TRACE
    446         p_old = p;
    447         GET_UTF8_CHAR( ch, p_old );
    448 #endif
    449 
    450         p = af_shaper_get_cluster( p, &metrics->root, shaper_buf, &num_idx );
    451 
    452         if ( !num_idx )
    453         {
    454           FT_TRACE5(( "  U+%04lX unavailable\n", ch ));
    455           continue;
    456         }
    457 
    458         if ( AF_LATIN_IS_TOP_BLUE( bs ) )
    459           best_y_extremum = FT_INT_MIN;
    460         else
    461           best_y_extremum = FT_INT_MAX;
    462 
    463         /* iterate over all glyph elements of the character cluster */
    464         /* and get the data of the `biggest' one                    */
    465         for ( i = 0; i < num_idx; i++ )
    466         {
    467           FT_Pos   best_y;
    468           FT_Bool  round = 0;
    469 
    470 
    471           /* load the character in the face -- skip unknown or empty ones */
    472           glyph_index = af_shaper_get_elem( &metrics->root,
    473                                             shaper_buf,
    474                                             i,
    475                                             NULL,
    476                                             &y_offset );
    477           if ( glyph_index == 0 )
    478           {
    479             FT_TRACE5(( "  U+%04lX unavailable\n", ch ));
    480             continue;
    481           }
    482 
    483           error   = FT_Load_Glyph( face, glyph_index, FT_LOAD_NO_SCALE );
    484           outline = face->glyph->outline;
    485           /* reject glyphs that don't produce any rendering */
    486           if ( error || outline.n_points <= 2 )
    487           {
    488 #ifdef FT_DEBUG_LEVEL_TRACE
    489             if ( num_idx == 1 )
    490               FT_TRACE5(( "  U+%04lX contains no (usable) outlines\n", ch ));
    491             else
    492               FT_TRACE5(( "  component %d of cluster starting with U+%04lX"
    493                           " contains no (usable) outlines\n", i, ch ));
    494 #endif
    495             continue;
    496           }
    497 
    498           /* now compute min or max point indices and coordinates */
    499           points             = outline.points;
    500           best_point         = -1;
    501           best_y             = 0;  /* make compiler happy */
    502           best_contour_first = 0;  /* ditto */
    503           best_contour_last  = 0;  /* ditto */
    504 
    505           {
    506             FT_Int  nn;
    507             FT_Int  first = 0;
    508             FT_Int  last  = -1;
    509 
    510 
    511             for ( nn = 0; nn < outline.n_contours; first = last + 1, nn++ )
    512             {
    513               FT_Int  old_best_point = best_point;
    514               FT_Int  pp;
    515 
    516 
    517               last = outline.contours[nn];
    518 
    519               /* Avoid single-point contours since they are never      */
    520               /* rasterized.  In some fonts, they correspond to mark   */
    521               /* attachment points that are way outside of the glyph's */
    522               /* real outline.                                         */
    523               if ( last <= first )
    524                 continue;
    525 
    526               if ( AF_LATIN_IS_TOP_BLUE( bs )     ||
    527                    AF_LATIN_IS_SUB_TOP_BLUE( bs ) )
    528               {
    529                 for ( pp = first; pp <= last; pp++ )
    530                 {
    531                   if ( best_point < 0 || points[pp].y > best_y )
    532                   {
    533                     best_point = pp;
    534                     best_y     = points[pp].y;
    535                     ascender   = FT_MAX( ascender, best_y + y_offset );
    536                   }
    537                   else
    538                     descender = FT_MIN( descender, points[pp].y + y_offset );
    539                 }
    540               }
    541               else
    542               {
    543                 for ( pp = first; pp <= last; pp++ )
    544                 {
    545                   if ( best_point < 0 || points[pp].y < best_y )
    546                   {
    547                     best_point = pp;
    548                     best_y     = points[pp].y;
    549                     descender  = FT_MIN( descender, best_y + y_offset );
    550                   }
    551                   else
    552                     ascender = FT_MAX( ascender, points[pp].y + y_offset );
    553                 }
    554               }
    555 
    556               if ( best_point != old_best_point )
    557               {
    558                 best_contour_first = first;
    559                 best_contour_last  = last;
    560               }
    561             }
    562           }
    563 
    564           /* now check whether the point belongs to a straight or round   */
    565           /* segment; we first need to find in which contour the extremum */
    566           /* lies, then inspect its previous and next points              */
    567           if ( best_point >= 0 )
    568           {
    569             FT_Pos  best_x = points[best_point].x;
    570             FT_Int  prev, next;
    571             FT_Int  best_segment_first, best_segment_last;
    572             FT_Int  best_on_point_first, best_on_point_last;
    573             FT_Pos  dist;
    574 
    575 
    576             best_segment_first = best_point;
    577             best_segment_last  = best_point;
    578 
    579             if ( FT_CURVE_TAG( outline.tags[best_point] ) == FT_CURVE_TAG_ON )
    580             {
    581               best_on_point_first = best_point;
    582               best_on_point_last  = best_point;
    583             }
    584             else
    585             {
    586               best_on_point_first = -1;
    587               best_on_point_last  = -1;
    588             }
    589 
    590             /* look for the previous and next points on the contour  */
    591             /* that are not on the same Y coordinate, then threshold */
    592             /* the `closeness'...                                    */
    593             prev = best_point;
    594             next = prev;
    595 
    596             do
    597             {
    598               if ( prev > best_contour_first )
    599                 prev--;
    600               else
    601                 prev = best_contour_last;
    602 
    603               dist = FT_ABS( points[prev].y - best_y );
    604               /* accept a small distance or a small angle (both values are */
    605               /* heuristic; value 20 corresponds to approx. 2.9 degrees)   */
    606               if ( dist > 5 )
    607                 if ( FT_ABS( points[prev].x - best_x ) <= 20 * dist )
    608                   break;
    609 
    610               best_segment_first = prev;
    611 
    612               if ( FT_CURVE_TAG( outline.tags[prev] ) == FT_CURVE_TAG_ON )
    613               {
    614                 best_on_point_first = prev;
    615                 if ( best_on_point_last < 0 )
    616                   best_on_point_last = prev;
    617               }
    618 
    619             } while ( prev != best_point );
    620 
    621             do
    622             {
    623               if ( next < best_contour_last )
    624                 next++;
    625               else
    626                 next = best_contour_first;
    627 
    628               dist = FT_ABS( points[next].y - best_y );
    629               if ( dist > 5 )
    630                 if ( FT_ABS( points[next].x - best_x ) <= 20 * dist )
    631                   break;
    632 
    633               best_segment_last = next;
    634 
    635               if ( FT_CURVE_TAG( outline.tags[next] ) == FT_CURVE_TAG_ON )
    636               {
    637                 best_on_point_last = next;
    638                 if ( best_on_point_first < 0 )
    639                   best_on_point_first = next;
    640               }
    641 
    642             } while ( next != best_point );
    643 
    644             if ( AF_LATIN_IS_LONG_BLUE( bs ) )
    645             {
    646               /* If this flag is set, we have an additional constraint to  */
    647               /* get the blue zone distance: Find a segment of the topmost */
    648               /* (or bottommost) contour that is longer than a heuristic   */
    649               /* threshold.  This ensures that small bumps in the outline  */
    650               /* are ignored (for example, the `vertical serifs' found in  */
    651               /* many Hebrew glyph designs).                               */
    652 
    653               /* If this segment is long enough, we are done.  Otherwise,  */
    654               /* search the segment next to the extremum that is long      */
    655               /* enough, has the same direction, and a not too large       */
    656               /* vertical distance from the extremum.  Note that the       */
    657               /* algorithm doesn't check whether the found segment is      */
    658               /* actually the one (vertically) nearest to the extremum.    */
    659 
    660               /* heuristic threshold value */
    661               FT_Pos  length_threshold = metrics->units_per_em / 25;
    662 
    663 
    664               dist = FT_ABS( points[best_segment_last].x -
    665                                points[best_segment_first].x );
    666 
    667               if ( dist < length_threshold                       &&
    668                    best_segment_last - best_segment_first + 2 <=
    669                      best_contour_last - best_contour_first      )
    670               {
    671                 /* heuristic threshold value */
    672                 FT_Pos  height_threshold = metrics->units_per_em / 4;
    673 
    674                 FT_Int   first;
    675                 FT_Int   last;
    676                 FT_Bool  hit;
    677 
    678                 /* we intentionally declare these two variables        */
    679                 /* outside of the loop since various compilers emit    */
    680                 /* incorrect warning messages otherwise, talking about */
    681                 /* `possibly uninitialized variables'                  */
    682                 FT_Int  p_first = 0;            /* make compiler happy */
    683                 FT_Int  p_last  = 0;
    684 
    685                 FT_Bool  left2right;
    686 
    687 
    688                 /* compute direction */
    689                 prev = best_point;
    690 
    691                 do
    692                 {
    693                   if ( prev > best_contour_first )
    694                     prev--;
    695                   else
    696                     prev = best_contour_last;
    697 
    698                   if ( points[prev].x != best_x )
    699                     break;
    700 
    701                 } while ( prev != best_point );
    702 
    703                 /* skip glyph for the degenerate case */
    704                 if ( prev == best_point )
    705                   continue;
    706 
    707                 left2right = FT_BOOL( points[prev].x < points[best_point].x );
    708 
    709                 first = best_segment_last;
    710                 last  = first;
    711                 hit   = 0;
    712 
    713                 do
    714                 {
    715                   FT_Bool  l2r;
    716                   FT_Pos   d;
    717 
    718 
    719                   if ( !hit )
    720                   {
    721                     /* no hit; adjust first point */
    722                     first = last;
    723 
    724                     /* also adjust first and last on point */
    725                     if ( FT_CURVE_TAG( outline.tags[first] ) ==
    726                            FT_CURVE_TAG_ON )
    727                     {
    728                       p_first = first;
    729                       p_last  = first;
    730                     }
    731                     else
    732                     {
    733                       p_first = -1;
    734                       p_last  = -1;
    735                     }
    736 
    737                     hit = 1;
    738                   }
    739 
    740                   if ( last < best_contour_last )
    741                     last++;
    742                   else
    743                     last = best_contour_first;
    744 
    745                   if ( FT_ABS( best_y - points[first].y ) > height_threshold )
    746                   {
    747                     /* vertical distance too large */
    748                     hit = 0;
    749                     continue;
    750                   }
    751 
    752                   /* same test as above */
    753                   dist = FT_ABS( points[last].y - points[first].y );
    754                   if ( dist > 5 )
    755                     if ( FT_ABS( points[last].x - points[first].x ) <=
    756                            20 * dist )
    757                     {
    758                       hit = 0;
    759                       continue;
    760                     }
    761 
    762                   if ( FT_CURVE_TAG( outline.tags[last] ) == FT_CURVE_TAG_ON )
    763                   {
    764                     p_last = last;
    765                     if ( p_first < 0 )
    766                       p_first = last;
    767                   }
    768 
    769                   l2r = FT_BOOL( points[first].x < points[last].x );
    770                   d   = FT_ABS( points[last].x - points[first].x );
    771 
    772                   if ( l2r == left2right     &&
    773                        d >= length_threshold )
    774                   {
    775                     /* all constraints are met; update segment after */
    776                     /* finding its end                               */
    777                     do
    778                     {
    779                       if ( last < best_contour_last )
    780                         last++;
    781                       else
    782                         last = best_contour_first;
    783 
    784                       d = FT_ABS( points[last].y - points[first].y );
    785                       if ( d > 5 )
    786                         if ( FT_ABS( points[next].x - points[first].x ) <=
    787                                20 * dist )
    788                         {
    789                           if ( last > best_contour_first )
    790                             last--;
    791                           else
    792                             last = best_contour_last;
    793                           break;
    794                         }
    795 
    796                       p_last = last;
    797 
    798                       if ( FT_CURVE_TAG( outline.tags[last] ) ==
    799                              FT_CURVE_TAG_ON )
    800                       {
    801                         p_last = last;
    802                         if ( p_first < 0 )
    803                           p_first = last;
    804                       }
    805 
    806                     } while ( last != best_segment_first );
    807 
    808                     best_y = points[first].y;
    809 
    810                     best_segment_first = first;
    811                     best_segment_last  = last;
    812 
    813                     best_on_point_first = p_first;
    814                     best_on_point_last  = p_last;
    815 
    816                     break;
    817                   }
    818 
    819                 } while ( last != best_segment_first );
    820               }
    821             }
    822 
    823             /* for computing blue zones, we add the y offset as returned */
    824             /* by the currently used OpenType feature -- for example,    */
    825             /* superscript glyphs might be identical to subscript glyphs */
    826             /* with a vertical shift                                     */
    827             best_y += y_offset;
    828 
    829 #ifdef FT_DEBUG_LEVEL_TRACE
    830             if ( num_idx == 1 )
    831               FT_TRACE5(( "  U+%04lX: best_y = %5ld", ch, best_y ));
    832             else
    833               FT_TRACE5(( "  component %d of cluster starting with U+%04lX:"
    834                           " best_y = %5ld", i, ch, best_y ));
    835 #endif
    836 
    837             /* now set the `round' flag depending on the segment's kind: */
    838             /*                                                           */
    839             /* - if the horizontal distance between the first and last   */
    840             /*   `on' point is larger than a heuristic threshold         */
    841             /*   we have a flat segment                                  */
    842             /* - if either the first or the last point of the segment is */
    843             /*   an `off' point, the segment is round, otherwise it is   */
    844             /*   flat                                                    */
    845             if ( best_on_point_first >= 0                               &&
    846                  best_on_point_last >= 0                                &&
    847                  ( FT_ABS( points[best_on_point_last].x -
    848                            points[best_on_point_first].x ) ) >
    849                    flat_threshold                                       )
    850               round = 0;
    851             else
    852               round = FT_BOOL(
    853                         FT_CURVE_TAG( outline.tags[best_segment_first] ) !=
    854                           FT_CURVE_TAG_ON                                   ||
    855                         FT_CURVE_TAG( outline.tags[best_segment_last]  ) !=
    856                           FT_CURVE_TAG_ON                                   );
    857 
    858             if ( round && AF_LATIN_IS_NEUTRAL_BLUE( bs ) )
    859             {
    860               /* only use flat segments for a neutral blue zone */
    861               FT_TRACE5(( " (round, skipped)\n" ));
    862               continue;
    863             }
    864 
    865             FT_TRACE5(( " (%s)\n", round ? "round" : "flat" ));
    866           }
    867 
    868           if ( AF_LATIN_IS_TOP_BLUE( bs ) )
    869           {
    870             if ( best_y > best_y_extremum )
    871             {
    872               best_y_extremum = best_y;
    873               best_round      = round;
    874             }
    875           }
    876           else
    877           {
    878             if ( best_y < best_y_extremum )
    879             {
    880               best_y_extremum = best_y;
    881               best_round      = round;
    882             }
    883           }
    884 
    885         } /* end for loop */
    886 
    887         if ( !( best_y_extremum == FT_INT_MIN ||
    888                 best_y_extremum == FT_INT_MAX ) )
    889         {
    890           if ( best_round )
    891             rounds[num_rounds++] = best_y_extremum;
    892           else
    893             flats[num_flats++]   = best_y_extremum;
    894         }
    895 
    896       } /* end while loop */
    897 
    898       if ( num_flats == 0 && num_rounds == 0 )
    899       {
    900         /*
    901          * we couldn't find a single glyph to compute this blue zone,
    902          * we will simply ignore it then
    903          */
    904         FT_TRACE5(( "  empty\n" ));
    905         continue;
    906       }
    907 
    908       /* we have computed the contents of the `rounds' and `flats' tables, */
    909       /* now determine the reference and overshoot position of the blue -- */
    910       /* we simply take the median value after a simple sort               */
    911       af_sort_pos( num_rounds, rounds );
    912       af_sort_pos( num_flats,  flats );
    913 
    914       blue       = &axis->blues[axis->blue_count];
    915       blue_ref   = &blue->ref.org;
    916       blue_shoot = &blue->shoot.org;
    917 
    918       axis->blue_count++;
    919 
    920       if ( num_flats == 0 )
    921       {
    922         *blue_ref   =
    923         *blue_shoot = rounds[num_rounds / 2];
    924       }
    925       else if ( num_rounds == 0 )
    926       {
    927         *blue_ref   =
    928         *blue_shoot = flats[num_flats / 2];
    929       }
    930       else
    931       {
    932         *blue_ref   = flats [num_flats  / 2];
    933         *blue_shoot = rounds[num_rounds / 2];
    934       }
    935 
    936       /* there are sometimes problems: if the overshoot position of top     */
    937       /* zones is under its reference position, or the opposite for bottom  */
    938       /* zones.  We must thus check everything there and correct the errors */
    939       if ( *blue_shoot != *blue_ref )
    940       {
    941         FT_Pos   ref      = *blue_ref;
    942         FT_Pos   shoot    = *blue_shoot;
    943         FT_Bool  over_ref = FT_BOOL( shoot > ref );
    944 
    945 
    946         if ( ( AF_LATIN_IS_TOP_BLUE( bs )    ||
    947                AF_LATIN_IS_SUB_TOP_BLUE( bs) ) ^ over_ref )
    948         {
    949           *blue_ref   =
    950           *blue_shoot = ( shoot + ref ) / 2;
    951 
    952           FT_TRACE5(( "  [overshoot smaller than reference,"
    953                       " taking mean value]\n" ));
    954         }
    955       }
    956 
    957       blue->ascender  = ascender;
    958       blue->descender = descender;
    959 
    960       blue->flags = 0;
    961       if ( AF_LATIN_IS_TOP_BLUE( bs ) )
    962         blue->flags |= AF_LATIN_BLUE_TOP;
    963       if ( AF_LATIN_IS_SUB_TOP_BLUE( bs ) )
    964         blue->flags |= AF_LATIN_BLUE_SUB_TOP;
    965       if ( AF_LATIN_IS_NEUTRAL_BLUE( bs ) )
    966         blue->flags |= AF_LATIN_BLUE_NEUTRAL;
    967 
    968       /*
    969        * The following flag is used later to adjust the y and x scales
    970        * in order to optimize the pixel grid alignment of the top of small
    971        * letters.
    972        */
    973       if ( AF_LATIN_IS_X_HEIGHT_BLUE( bs ) )
    974         blue->flags |= AF_LATIN_BLUE_ADJUSTMENT;
    975 
    976       FT_TRACE5(( "    -> reference = %ld\n"
    977                   "       overshoot = %ld\n",
    978                   *blue_ref, *blue_shoot ));
    979 
    980     } /* end for loop */
    981 
    982     af_shaper_buf_destroy( face, shaper_buf );
    983 
    984     /* we finally check whether blue zones are ordered; */
    985     /* `ref' and `shoot' values of two blue zones must not overlap */
    986     if ( axis->blue_count )
    987     {
    988       FT_UInt       i;
    989       AF_LatinBlue  blue_sorted[AF_BLUE_STRINGSET_MAX_LEN + 2];
    990 
    991 
    992       for ( i = 0; i < axis->blue_count; i++ )
    993         blue_sorted[i] = &axis->blues[i];
    994 
    995       /* sort bottoms of blue zones... */
    996       af_latin_sort_blue( axis->blue_count, blue_sorted );
    997 
    998       /* ...and adjust top values if necessary */
    999       for ( i = 0; i < axis->blue_count - 1; i++ )
   1000       {
   1001         FT_Pos*  a;
   1002         FT_Pos*  b;
   1003 
   1004 #ifdef FT_DEBUG_LEVEL_TRACE
   1005         FT_Bool  a_is_top = 0;
   1006 #endif
   1007 
   1008 
   1009         if ( blue_sorted[i]->flags & ( AF_LATIN_BLUE_TOP     |
   1010                                        AF_LATIN_BLUE_SUB_TOP ) )
   1011         {
   1012           a = &blue_sorted[i]->shoot.org;
   1013 #ifdef FT_DEBUG_LEVEL_TRACE
   1014           a_is_top = 1;
   1015 #endif
   1016         }
   1017         else
   1018           a = &blue_sorted[i]->ref.org;
   1019 
   1020         if ( blue_sorted[i + 1]->flags & ( AF_LATIN_BLUE_TOP     |
   1021                                            AF_LATIN_BLUE_SUB_TOP ) )
   1022           b = &blue_sorted[i + 1]->shoot.org;
   1023         else
   1024           b = &blue_sorted[i + 1]->ref.org;
   1025 
   1026         if ( *a > *b )
   1027         {
   1028           *a = *b;
   1029           FT_TRACE5(( "blue zone overlap:"
   1030                       " adjusting %s %d to %ld\n",
   1031                       a_is_top ? "overshoot" : "reference",
   1032                       blue_sorted[i] - axis->blues,
   1033                       *a ));
   1034         }
   1035       }
   1036     }
   1037 
   1038     FT_TRACE5(( "\n" ));
   1039 
   1040     return;
   1041   }
   1042 
   1043 
   1044   /* Check whether all ASCII digits have the same advance width. */
   1045 
   1046   FT_LOCAL_DEF( void )
   1047   af_latin_metrics_check_digits( AF_LatinMetrics  metrics,
   1048                                  FT_Face          face )
   1049   {
   1050     FT_Bool   started = 0, same_width = 1;
   1051     FT_Fixed  advance = 0, old_advance = 0;
   1052 
   1053     /* If HarfBuzz is not available, we need a pointer to a single */
   1054     /* unsigned long value.                                        */
   1055 #ifdef FT_CONFIG_OPTION_USE_HARFBUZZ
   1056     void*     shaper_buf;
   1057 #else
   1058     FT_ULong  shaper_buf_;
   1059     void*     shaper_buf = &shaper_buf_;
   1060 #endif
   1061 
   1062     /* in all supported charmaps, digits have character codes 0x30-0x39 */
   1063     const char   digits[] = "0 1 2 3 4 5 6 7 8 9";
   1064     const char*  p;
   1065 
   1066 
   1067     p = digits;
   1068 
   1069 #ifdef FT_CONFIG_OPTION_USE_HARFBUZZ
   1070     shaper_buf = af_shaper_buf_create( face );
   1071 #endif
   1072 
   1073     while ( *p )
   1074     {
   1075       FT_ULong      glyph_index;
   1076       unsigned int  num_idx;
   1077 
   1078 
   1079       /* reject input that maps to more than a single glyph */
   1080       p = af_shaper_get_cluster( p, &metrics->root, shaper_buf, &num_idx );
   1081       if ( num_idx > 1 )
   1082         continue;
   1083 
   1084       glyph_index = af_shaper_get_elem( &metrics->root,
   1085                                         shaper_buf,
   1086                                         0,
   1087                                         &advance,
   1088                                         NULL );
   1089       if ( !glyph_index )
   1090         continue;
   1091 
   1092       if ( started )
   1093       {
   1094         if ( advance != old_advance )
   1095         {
   1096           same_width = 0;
   1097           break;
   1098         }
   1099       }
   1100       else
   1101       {
   1102         old_advance = advance;
   1103         started     = 1;
   1104       }
   1105     }
   1106 
   1107     af_shaper_buf_destroy( face, shaper_buf );
   1108 
   1109     metrics->root.digits_have_same_width = same_width;
   1110   }
   1111 
   1112 
   1113   /* Initialize global metrics. */
   1114 
   1115   FT_LOCAL_DEF( FT_Error )
   1116   af_latin_metrics_init( AF_LatinMetrics  metrics,
   1117                          FT_Face          face )
   1118   {
   1119     FT_CharMap  oldmap = face->charmap;
   1120 
   1121 
   1122     metrics->units_per_em = face->units_per_EM;
   1123 
   1124     if ( !FT_Select_Charmap( face, FT_ENCODING_UNICODE ) )
   1125     {
   1126       af_latin_metrics_init_widths( metrics, face );
   1127       af_latin_metrics_init_blues( metrics, face );
   1128       af_latin_metrics_check_digits( metrics, face );
   1129     }
   1130 
   1131     FT_Set_Charmap( face, oldmap );
   1132     return FT_Err_Ok;
   1133   }
   1134 
   1135 
   1136   /* Adjust scaling value, then scale and shift widths   */
   1137   /* and blue zones (if applicable) for given dimension. */
   1138 
   1139   static void
   1140   af_latin_metrics_scale_dim( AF_LatinMetrics  metrics,
   1141                               AF_Scaler        scaler,
   1142                               AF_Dimension     dim )
   1143   {
   1144     FT_Fixed      scale;
   1145     FT_Pos        delta;
   1146     AF_LatinAxis  axis;
   1147     FT_UInt       nn;
   1148 
   1149 
   1150     if ( dim == AF_DIMENSION_HORZ )
   1151     {
   1152       scale = scaler->x_scale;
   1153       delta = scaler->x_delta;
   1154     }
   1155     else
   1156     {
   1157       scale = scaler->y_scale;
   1158       delta = scaler->y_delta;
   1159     }
   1160 
   1161     axis = &metrics->axis[dim];
   1162 
   1163     if ( axis->org_scale == scale && axis->org_delta == delta )
   1164       return;
   1165 
   1166     axis->org_scale = scale;
   1167     axis->org_delta = delta;
   1168 
   1169     /*
   1170      * correct X and Y scale to optimize the alignment of the top of small
   1171      * letters to the pixel grid
   1172      */
   1173     {
   1174       AF_LatinAxis  Axis = &metrics->axis[AF_DIMENSION_VERT];
   1175       AF_LatinBlue  blue = NULL;
   1176 
   1177 
   1178       for ( nn = 0; nn < Axis->blue_count; nn++ )
   1179       {
   1180         if ( Axis->blues[nn].flags & AF_LATIN_BLUE_ADJUSTMENT )
   1181         {
   1182           blue = &Axis->blues[nn];
   1183           break;
   1184         }
   1185       }
   1186 
   1187       if ( blue )
   1188       {
   1189         FT_Pos   scaled;
   1190         FT_Pos   threshold;
   1191         FT_Pos   fitted;
   1192         FT_UInt  limit;
   1193         FT_UInt  ppem;
   1194 
   1195 
   1196         scaled    = FT_MulFix( blue->shoot.org, scale );
   1197         ppem      = metrics->root.scaler.face->size->metrics.x_ppem;
   1198         limit     = metrics->root.globals->increase_x_height;
   1199         threshold = 40;
   1200 
   1201         /* if the `increase-x-height' property is active, */
   1202         /* we round up much more often                    */
   1203         if ( limit                                 &&
   1204              ppem <= limit                         &&
   1205              ppem >= AF_PROP_INCREASE_X_HEIGHT_MIN )
   1206           threshold = 52;
   1207 
   1208         fitted = ( scaled + threshold ) & ~63;
   1209 
   1210         if ( scaled != fitted )
   1211         {
   1212 #if 0
   1213           if ( dim == AF_DIMENSION_HORZ )
   1214           {
   1215             if ( fitted < scaled )
   1216               scale -= scale / 50;  /* scale *= 0.98 */
   1217           }
   1218           else
   1219 #endif
   1220           if ( dim == AF_DIMENSION_VERT )
   1221           {
   1222             FT_Pos    max_height;
   1223             FT_Pos    dist;
   1224             FT_Fixed  new_scale;
   1225 
   1226 
   1227             new_scale = FT_MulDiv( scale, fitted, scaled );
   1228 
   1229             /* the scaling should not change the result by more than two pixels */
   1230             max_height = metrics->units_per_em;
   1231 
   1232             for ( nn = 0; nn < Axis->blue_count; nn++ )
   1233             {
   1234               max_height = FT_MAX( max_height, Axis->blues[nn].ascender );
   1235               max_height = FT_MAX( max_height, -Axis->blues[nn].descender );
   1236             }
   1237 
   1238             dist  = FT_ABS( FT_MulFix( max_height, new_scale - scale ) );
   1239             dist &= ~127;
   1240 
   1241             if ( dist == 0 )
   1242             {
   1243               FT_TRACE5((
   1244                 "af_latin_metrics_scale_dim:"
   1245                 " x height alignment (style `%s'):\n"
   1246                 "                           "
   1247                 " vertical scaling changed from %.5f to %.5f (by %d%%)\n"
   1248                 "\n",
   1249                 af_style_names[metrics->root.style_class->style],
   1250                 scale / 65536.0,
   1251                 new_scale / 65536.0,
   1252                 ( fitted - scaled ) * 100 / scaled ));
   1253 
   1254               scale = new_scale;
   1255             }
   1256 #ifdef FT_DEBUG_LEVEL_TRACE
   1257             else
   1258             {
   1259               FT_TRACE5((
   1260                 "af_latin_metrics_scale_dim:"
   1261                 " x height alignment (style `%s'):\n"
   1262                 "                           "
   1263                 " excessive vertical scaling abandoned\n"
   1264                 "\n",
   1265                 af_style_names[metrics->root.style_class->style] ));
   1266             }
   1267 #endif
   1268           }
   1269         }
   1270       }
   1271     }
   1272 
   1273     axis->scale = scale;
   1274     axis->delta = delta;
   1275 
   1276     if ( dim == AF_DIMENSION_HORZ )
   1277     {
   1278       metrics->root.scaler.x_scale = scale;
   1279       metrics->root.scaler.x_delta = delta;
   1280     }
   1281     else
   1282     {
   1283       metrics->root.scaler.y_scale = scale;
   1284       metrics->root.scaler.y_delta = delta;
   1285     }
   1286 
   1287     FT_TRACE5(( "%s widths (style `%s')\n",
   1288                 dim == AF_DIMENSION_HORZ ? "horizontal" : "vertical",
   1289                 af_style_names[metrics->root.style_class->style] ));
   1290 
   1291     /* scale the widths */
   1292     for ( nn = 0; nn < axis->width_count; nn++ )
   1293     {
   1294       AF_Width  width = axis->widths + nn;
   1295 
   1296 
   1297       width->cur = FT_MulFix( width->org, scale );
   1298       width->fit = width->cur;
   1299 
   1300       FT_TRACE5(( "  %d scaled to %.2f\n",
   1301                   width->org,
   1302                   width->cur / 64.0 ));
   1303     }
   1304 
   1305     FT_TRACE5(( "\n" ));
   1306 
   1307     /* an extra-light axis corresponds to a standard width that is */
   1308     /* smaller than 5/8 pixels                                     */
   1309     axis->extra_light =
   1310       (FT_Bool)( FT_MulFix( axis->standard_width, scale ) < 32 + 8 );
   1311 
   1312 #ifdef FT_DEBUG_LEVEL_TRACE
   1313     if ( axis->extra_light )
   1314       FT_TRACE5(( "`%s' style is extra light (at current resolution)\n"
   1315                   "\n",
   1316                   af_style_names[metrics->root.style_class->style] ));
   1317 #endif
   1318 
   1319     if ( dim == AF_DIMENSION_VERT )
   1320     {
   1321 #ifdef FT_DEBUG_LEVEL_TRACE
   1322       if ( axis->blue_count )
   1323         FT_TRACE5(( "blue zones (style `%s')\n",
   1324                     af_style_names[metrics->root.style_class->style] ));
   1325 #endif
   1326 
   1327       /* scale the blue zones */
   1328       for ( nn = 0; nn < axis->blue_count; nn++ )
   1329       {
   1330         AF_LatinBlue  blue = &axis->blues[nn];
   1331         FT_Pos        dist;
   1332 
   1333 
   1334         blue->ref.cur   = FT_MulFix( blue->ref.org, scale ) + delta;
   1335         blue->ref.fit   = blue->ref.cur;
   1336         blue->shoot.cur = FT_MulFix( blue->shoot.org, scale ) + delta;
   1337         blue->shoot.fit = blue->shoot.cur;
   1338         blue->flags    &= ~AF_LATIN_BLUE_ACTIVE;
   1339 
   1340         /* a blue zone is only active if it is less than 3/4 pixels tall */
   1341         dist = FT_MulFix( blue->ref.org - blue->shoot.org, scale );
   1342         if ( dist <= 48 && dist >= -48 )
   1343         {
   1344 #if 0
   1345           FT_Pos  delta1;
   1346 #endif
   1347           FT_Pos  delta2;
   1348 
   1349 
   1350           /* use discrete values for blue zone widths */
   1351 
   1352 #if 0
   1353 
   1354           /* generic, original code */
   1355           delta1 = blue->shoot.org - blue->ref.org;
   1356           delta2 = delta1;
   1357           if ( delta1 < 0 )
   1358             delta2 = -delta2;
   1359 
   1360           delta2 = FT_MulFix( delta2, scale );
   1361 
   1362           if ( delta2 < 32 )
   1363             delta2 = 0;
   1364           else if ( delta2 < 64 )
   1365             delta2 = 32 + ( ( ( delta2 - 32 ) + 16 ) & ~31 );
   1366           else
   1367             delta2 = FT_PIX_ROUND( delta2 );
   1368 
   1369           if ( delta1 < 0 )
   1370             delta2 = -delta2;
   1371 
   1372           blue->ref.fit   = FT_PIX_ROUND( blue->ref.cur );
   1373           blue->shoot.fit = blue->ref.fit + delta2;
   1374 
   1375 #else
   1376 
   1377           /* simplified version due to abs(dist) <= 48 */
   1378           delta2 = dist;
   1379           if ( dist < 0 )
   1380             delta2 = -delta2;
   1381 
   1382           if ( delta2 < 32 )
   1383             delta2 = 0;
   1384           else if ( delta2 < 48 )
   1385             delta2 = 32;
   1386           else
   1387             delta2 = 64;
   1388 
   1389           if ( dist < 0 )
   1390             delta2 = -delta2;
   1391 
   1392           blue->ref.fit   = FT_PIX_ROUND( blue->ref.cur );
   1393           blue->shoot.fit = blue->ref.fit - delta2;
   1394 
   1395 #endif
   1396 
   1397           blue->flags |= AF_LATIN_BLUE_ACTIVE;
   1398         }
   1399       }
   1400 
   1401       /* use sub-top blue zone only if it doesn't overlap with */
   1402       /* another (non-sup-top) blue zone; otherwise, the       */
   1403       /* effect would be similar to a neutral blue zone, which */
   1404       /* is not desired here                                   */
   1405       for ( nn = 0; nn < axis->blue_count; nn++ )
   1406       {
   1407         AF_LatinBlue  blue = &axis->blues[nn];
   1408         FT_UInt       i;
   1409 
   1410 
   1411         if ( !( blue->flags & AF_LATIN_BLUE_SUB_TOP ) )
   1412           continue;
   1413         if ( !( blue->flags & AF_LATIN_BLUE_ACTIVE ) )
   1414           continue;
   1415 
   1416         for ( i = 0; i < axis->blue_count; i++ )
   1417         {
   1418           AF_LatinBlue  b = &axis->blues[i];
   1419 
   1420 
   1421           if ( b->flags & AF_LATIN_BLUE_SUB_TOP )
   1422             continue;
   1423           if ( !( b->flags & AF_LATIN_BLUE_ACTIVE ) )
   1424             continue;
   1425 
   1426           if ( b->ref.fit <= blue->shoot.fit &&
   1427                b->shoot.fit >= blue->ref.fit )
   1428           {
   1429             blue->flags &= ~AF_LATIN_BLUE_ACTIVE;
   1430             break;
   1431           }
   1432         }
   1433       }
   1434 
   1435 #ifdef FT_DEBUG_LEVEL_TRACE
   1436       for ( nn = 0; nn < axis->blue_count; nn++ )
   1437       {
   1438         AF_LatinBlue  blue = &axis->blues[nn];
   1439 
   1440 
   1441         FT_TRACE5(( "  reference %d: %d scaled to %.2f%s\n"
   1442                     "  overshoot %d: %d scaled to %.2f%s\n",
   1443                     nn,
   1444                     blue->ref.org,
   1445                     blue->ref.fit / 64.0,
   1446                     blue->flags & AF_LATIN_BLUE_ACTIVE ? ""
   1447                                                        : " (inactive)",
   1448                     nn,
   1449                     blue->shoot.org,
   1450                     blue->shoot.fit / 64.0,
   1451                     blue->flags & AF_LATIN_BLUE_ACTIVE ? ""
   1452                                                        : " (inactive)" ));
   1453       }
   1454 #endif
   1455     }
   1456   }
   1457 
   1458 
   1459   /* Scale global values in both directions. */
   1460 
   1461   FT_LOCAL_DEF( void )
   1462   af_latin_metrics_scale( AF_LatinMetrics  metrics,
   1463                           AF_Scaler        scaler )
   1464   {
   1465     metrics->root.scaler.render_mode = scaler->render_mode;
   1466     metrics->root.scaler.face        = scaler->face;
   1467     metrics->root.scaler.flags       = scaler->flags;
   1468 
   1469     af_latin_metrics_scale_dim( metrics, scaler, AF_DIMENSION_HORZ );
   1470     af_latin_metrics_scale_dim( metrics, scaler, AF_DIMENSION_VERT );
   1471   }
   1472 
   1473 
   1474   /* Extract standard_width from writing system/script specific */
   1475   /* metrics class.                                             */
   1476 
   1477   FT_LOCAL_DEF( void )
   1478   af_latin_get_standard_widths( AF_LatinMetrics  metrics,
   1479                                 FT_Pos*          stdHW,
   1480                                 FT_Pos*          stdVW )
   1481   {
   1482     if ( stdHW )
   1483       *stdHW = metrics->axis[AF_DIMENSION_VERT].standard_width;
   1484 
   1485     if ( stdVW )
   1486       *stdVW = metrics->axis[AF_DIMENSION_HORZ].standard_width;
   1487   }
   1488 
   1489 
   1490   /*************************************************************************/
   1491   /*************************************************************************/
   1492   /*****                                                               *****/
   1493   /*****           L A T I N   G L Y P H   A N A L Y S I S             *****/
   1494   /*****                                                               *****/
   1495   /*************************************************************************/
   1496   /*************************************************************************/
   1497 
   1498 
   1499   /* Walk over all contours and compute its segments. */
   1500 
   1501   FT_LOCAL_DEF( FT_Error )
   1502   af_latin_hints_compute_segments( AF_GlyphHints  hints,
   1503                                    AF_Dimension   dim )
   1504   {
   1505     AF_LatinMetrics  metrics       = (AF_LatinMetrics)hints->metrics;
   1506     AF_AxisHints     axis          = &hints->axis[dim];
   1507     FT_Memory        memory        = hints->memory;
   1508     FT_Error         error         = FT_Err_Ok;
   1509     AF_Segment       segment       = NULL;
   1510     AF_SegmentRec    seg0;
   1511     AF_Point*        contour       = hints->contours;
   1512     AF_Point*        contour_limit = contour + hints->num_contours;
   1513     AF_Direction     major_dir, segment_dir;
   1514 
   1515     FT_Pos  flat_threshold = FLAT_THRESHOLD( metrics->units_per_em );
   1516 
   1517 
   1518     FT_ZERO( &seg0 );
   1519     seg0.score = 32000;
   1520     seg0.flags = AF_EDGE_NORMAL;
   1521 
   1522     major_dir   = (AF_Direction)FT_ABS( axis->major_dir );
   1523     segment_dir = major_dir;
   1524 
   1525     axis->num_segments = 0;
   1526 
   1527     /* set up (u,v) in each point */
   1528     if ( dim == AF_DIMENSION_HORZ )
   1529     {
   1530       AF_Point  point = hints->points;
   1531       AF_Point  limit = point + hints->num_points;
   1532 
   1533 
   1534       for ( ; point < limit; point++ )
   1535       {
   1536         point->u = point->fx;
   1537         point->v = point->fy;
   1538       }
   1539     }
   1540     else
   1541     {
   1542       AF_Point  point = hints->points;
   1543       AF_Point  limit = point + hints->num_points;
   1544 
   1545 
   1546       for ( ; point < limit; point++ )
   1547       {
   1548         point->u = point->fy;
   1549         point->v = point->fx;
   1550       }
   1551     }
   1552 
   1553     /* do each contour separately */
   1554     for ( ; contour < contour_limit; contour++ )
   1555     {
   1556       AF_Point  point   = contour[0];
   1557       AF_Point  last    = point->prev;
   1558       int       on_edge = 0;
   1559 
   1560       /* we call values measured along a segment (point->v)    */
   1561       /* `coordinates', and values orthogonal to it (point->u) */
   1562       /* `positions'                                           */
   1563       FT_Pos     min_pos      =  32000;
   1564       FT_Pos     max_pos      = -32000;
   1565       FT_Pos     min_coord    =  32000;
   1566       FT_Pos     max_coord    = -32000;
   1567       FT_UShort  min_flags    =  AF_FLAG_NONE;
   1568       FT_UShort  max_flags    =  AF_FLAG_NONE;
   1569       FT_Pos     min_on_coord =  32000;
   1570       FT_Pos     max_on_coord = -32000;
   1571 
   1572       FT_Bool  passed;
   1573 
   1574       AF_Segment  prev_segment = NULL;
   1575 
   1576       FT_Pos     prev_min_pos      = min_pos;
   1577       FT_Pos     prev_max_pos      = max_pos;
   1578       FT_Pos     prev_min_coord    = min_coord;
   1579       FT_Pos     prev_max_coord    = max_coord;
   1580       FT_UShort  prev_min_flags    = min_flags;
   1581       FT_UShort  prev_max_flags    = max_flags;
   1582       FT_Pos     prev_min_on_coord = min_on_coord;
   1583       FT_Pos     prev_max_on_coord = max_on_coord;
   1584 
   1585 
   1586       if ( FT_ABS( last->out_dir )  == major_dir &&
   1587            FT_ABS( point->out_dir ) == major_dir )
   1588       {
   1589         /* we are already on an edge, try to locate its start */
   1590         last = point;
   1591 
   1592         for (;;)
   1593         {
   1594           point = point->prev;
   1595           if ( FT_ABS( point->out_dir ) != major_dir )
   1596           {
   1597             point = point->next;
   1598             break;
   1599           }
   1600           if ( point == last )
   1601             break;
   1602         }
   1603       }
   1604 
   1605       last   = point;
   1606       passed = 0;
   1607 
   1608       for (;;)
   1609       {
   1610         FT_Pos  u, v;
   1611 
   1612 
   1613         if ( on_edge )
   1614         {
   1615           /* get minimum and maximum position */
   1616           u = point->u;
   1617           if ( u < min_pos )
   1618             min_pos = u;
   1619           if ( u > max_pos )
   1620             max_pos = u;
   1621 
   1622           /* get minimum and maximum coordinate together with flags */
   1623           v = point->v;
   1624           if ( v < min_coord )
   1625           {
   1626             min_coord = v;
   1627             min_flags = point->flags;
   1628           }
   1629           if ( v > max_coord )
   1630           {
   1631             max_coord = v;
   1632             max_flags = point->flags;
   1633           }
   1634 
   1635           /* get minimum and maximum coordinate of `on' points */
   1636           if ( !( point->flags & AF_FLAG_CONTROL ) )
   1637           {
   1638             v = point->v;
   1639             if ( v < min_on_coord )
   1640               min_on_coord = v;
   1641             if ( v > max_on_coord )
   1642               max_on_coord = v;
   1643           }
   1644 
   1645           if ( point->out_dir != segment_dir || point == last )
   1646           {
   1647             /* check whether the new segment's start point is identical to */
   1648             /* the previous segment's end point; for example, this might   */
   1649             /* happen for spikes                                           */
   1650 
   1651             if ( !prev_segment || segment->first != prev_segment->last )
   1652             {
   1653               /* points are different: we are just leaving an edge, thus */
   1654               /* record a new segment                                    */
   1655 
   1656               segment->last  = point;
   1657               segment->pos   = (FT_Short)( ( min_pos + max_pos ) >> 1 );
   1658               segment->delta = (FT_Short)( ( max_pos - min_pos ) >> 1 );
   1659 
   1660               /* a segment is round if either its first or last point */
   1661               /* is a control point, and the length of the on points  */
   1662               /* inbetween doesn't exceed a heuristic limit           */
   1663               if ( ( min_flags | max_flags ) & AF_FLAG_CONTROL      &&
   1664                    ( max_on_coord - min_on_coord ) < flat_threshold )
   1665                 segment->flags |= AF_EDGE_ROUND;
   1666 
   1667               segment->min_coord = (FT_Short)min_coord;
   1668               segment->max_coord = (FT_Short)max_coord;
   1669               segment->height    = segment->max_coord - segment->min_coord;
   1670 
   1671               prev_segment      = segment;
   1672               prev_min_pos      = min_pos;
   1673               prev_max_pos      = max_pos;
   1674               prev_min_coord    = min_coord;
   1675               prev_max_coord    = max_coord;
   1676               prev_min_flags    = min_flags;
   1677               prev_max_flags    = max_flags;
   1678               prev_min_on_coord = min_on_coord;
   1679               prev_max_on_coord = max_on_coord;
   1680             }
   1681             else
   1682             {
   1683               /* points are the same: we don't create a new segment but */
   1684               /* merge the current segment with the previous one        */
   1685 
   1686               if ( prev_segment->last->in_dir == point->in_dir )
   1687               {
   1688                 /* we have identical directions (this can happen for       */
   1689                 /* degenerate outlines that move zig-zag along the main    */
   1690                 /* axis without changing the coordinate value of the other */
   1691                 /* axis, and where the segments have just been merged):    */
   1692                 /* unify segments                                          */
   1693 
   1694                 /* update constraints */
   1695 
   1696                 if ( prev_min_pos < min_pos )
   1697                   min_pos = prev_min_pos;
   1698                 if ( prev_max_pos > max_pos )
   1699                   max_pos = prev_max_pos;
   1700 
   1701                 if ( prev_min_coord < min_coord )
   1702                 {
   1703                   min_coord = prev_min_coord;
   1704                   min_flags = prev_min_flags;
   1705                 }
   1706                 if ( prev_max_coord > max_coord )
   1707                 {
   1708                   max_coord = prev_max_coord;
   1709                   max_flags = prev_max_flags;
   1710                 }
   1711 
   1712                 if ( prev_min_on_coord < min_on_coord )
   1713                   min_on_coord = prev_min_on_coord;
   1714                 if ( prev_max_on_coord > max_on_coord )
   1715                   max_on_coord = prev_max_on_coord;
   1716 
   1717                 prev_segment->last  = point;
   1718                 prev_segment->pos   = (FT_Short)( ( min_pos +
   1719                                                     max_pos ) >> 1 );
   1720                 prev_segment->delta = (FT_Short)( ( max_pos -
   1721                                                     min_pos ) >> 1 );
   1722 
   1723                 if ( ( min_flags | max_flags ) & AF_FLAG_CONTROL      &&
   1724                      ( max_on_coord - min_on_coord ) < flat_threshold )
   1725                   prev_segment->flags |= AF_EDGE_ROUND;
   1726                 else
   1727                   prev_segment->flags &= ~AF_EDGE_ROUND;
   1728 
   1729                 prev_segment->min_coord = (FT_Short)min_coord;
   1730                 prev_segment->max_coord = (FT_Short)max_coord;
   1731                 prev_segment->height    = prev_segment->max_coord -
   1732                                           prev_segment->min_coord;
   1733               }
   1734               else
   1735               {
   1736                 /* we have different directions; use the properties of the */
   1737                 /* longer segment and discard the other one                */
   1738 
   1739                 if ( FT_ABS( prev_max_coord - prev_min_coord ) >
   1740                      FT_ABS( max_coord - min_coord ) )
   1741                 {
   1742                   /* discard current segment */
   1743 
   1744                   if ( min_pos < prev_min_pos )
   1745                     prev_min_pos = min_pos;
   1746                   if ( max_pos > prev_max_pos )
   1747                     prev_max_pos = max_pos;
   1748 
   1749                   prev_segment->last  = point;
   1750                   prev_segment->pos   = (FT_Short)( ( prev_min_pos +
   1751                                                       prev_max_pos ) >> 1 );
   1752                   prev_segment->delta = (FT_Short)( ( prev_max_pos -
   1753                                                       prev_min_pos ) >> 1 );
   1754                 }
   1755                 else
   1756                 {
   1757                   /* discard previous segment */
   1758 
   1759                   if ( prev_min_pos < min_pos )
   1760                     min_pos = prev_min_pos;
   1761                   if ( prev_max_pos > max_pos )
   1762                     max_pos = prev_max_pos;
   1763 
   1764                   segment->last  = point;
   1765                   segment->pos   = (FT_Short)( ( min_pos + max_pos ) >> 1 );
   1766                   segment->delta = (FT_Short)( ( max_pos - min_pos ) >> 1 );
   1767 
   1768                   if ( ( min_flags | max_flags ) & AF_FLAG_CONTROL      &&
   1769                        ( max_on_coord - min_on_coord ) < flat_threshold )
   1770                     segment->flags |= AF_EDGE_ROUND;
   1771 
   1772                   segment->min_coord = (FT_Short)min_coord;
   1773                   segment->max_coord = (FT_Short)max_coord;
   1774                   segment->height    = segment->max_coord -
   1775                                        segment->min_coord;
   1776 
   1777                   *prev_segment = *segment;
   1778 
   1779                   prev_min_pos      = min_pos;
   1780                   prev_max_pos      = max_pos;
   1781                   prev_min_coord    = min_coord;
   1782                   prev_max_coord    = max_coord;
   1783                   prev_min_flags    = min_flags;
   1784                   prev_max_flags    = max_flags;
   1785                   prev_min_on_coord = min_on_coord;
   1786                   prev_max_on_coord = max_on_coord;
   1787                 }
   1788               }
   1789 
   1790               axis->num_segments--;
   1791             }
   1792 
   1793             on_edge = 0;
   1794             segment = NULL;
   1795 
   1796             /* fall through */
   1797           }
   1798         }
   1799 
   1800         /* now exit if we are at the start/end point */
   1801         if ( point == last )
   1802         {
   1803           if ( passed )
   1804             break;
   1805           passed = 1;
   1806         }
   1807 
   1808         /* if we are not on an edge, check whether the major direction */
   1809         /* coincides with the current point's `out' direction, or      */
   1810         /* whether we have a single-point contour                      */
   1811         if ( !on_edge                                  &&
   1812              ( FT_ABS( point->out_dir ) == major_dir ||
   1813                point == point->prev                  ) )
   1814         {
   1815           /* this is the start of a new segment! */
   1816           segment_dir = (AF_Direction)point->out_dir;
   1817 
   1818           error = af_axis_hints_new_segment( axis, memory, &segment );
   1819           if ( error )
   1820             goto Exit;
   1821 
   1822           /* clear all segment fields */
   1823           segment[0] = seg0;
   1824 
   1825           segment->dir   = (FT_Char)segment_dir;
   1826           segment->first = point;
   1827           segment->last  = point;
   1828 
   1829           /* `af_axis_hints_new_segment' reallocates memory,    */
   1830           /* thus we have to refresh the `prev_segment' pointer */
   1831           if ( prev_segment )
   1832             prev_segment = segment - 1;
   1833 
   1834           min_pos   = max_pos   = point->u;
   1835           min_coord = max_coord = point->v;
   1836           min_flags = max_flags = point->flags;
   1837 
   1838           if ( point->flags & AF_FLAG_CONTROL )
   1839           {
   1840             min_on_coord =  32000;
   1841             max_on_coord = -32000;
   1842           }
   1843           else
   1844             min_on_coord = max_on_coord = point->v;
   1845 
   1846           on_edge = 1;
   1847 
   1848           if ( point == point->prev )
   1849           {
   1850             /* we have a one-point segment: this is a one-point */
   1851             /* contour with `in' and `out' direction set to     */
   1852             /* AF_DIR_NONE                                      */
   1853             segment->pos = (FT_Short)min_pos;
   1854 
   1855             if (point->flags & AF_FLAG_CONTROL)
   1856               segment->flags |= AF_EDGE_ROUND;
   1857 
   1858             segment->min_coord = (FT_Short)point->v;
   1859             segment->max_coord = (FT_Short)point->v;
   1860             segment->height = 0;
   1861 
   1862             on_edge = 0;
   1863             segment = NULL;
   1864           }
   1865         }
   1866 
   1867         point = point->next;
   1868       }
   1869 
   1870     } /* contours */
   1871 
   1872 
   1873     /* now slightly increase the height of segments if this makes */
   1874     /* sense -- this is used to better detect and ignore serifs   */
   1875     {
   1876       AF_Segment  segments     = axis->segments;
   1877       AF_Segment  segments_end = segments + axis->num_segments;
   1878 
   1879 
   1880       for ( segment = segments; segment < segments_end; segment++ )
   1881       {
   1882         AF_Point  first   = segment->first;
   1883         AF_Point  last    = segment->last;
   1884         FT_Pos    first_v = first->v;
   1885         FT_Pos    last_v  = last->v;
   1886 
   1887 
   1888         if ( first_v < last_v )
   1889         {
   1890           AF_Point  p;
   1891 
   1892 
   1893           p = first->prev;
   1894           if ( p->v < first_v )
   1895             segment->height = (FT_Short)( segment->height +
   1896                                           ( ( first_v - p->v ) >> 1 ) );
   1897 
   1898           p = last->next;
   1899           if ( p->v > last_v )
   1900             segment->height = (FT_Short)( segment->height +
   1901                                           ( ( p->v - last_v ) >> 1 ) );
   1902         }
   1903         else
   1904         {
   1905           AF_Point  p;
   1906 
   1907 
   1908           p = first->prev;
   1909           if ( p->v > first_v )
   1910             segment->height = (FT_Short)( segment->height +
   1911                                           ( ( p->v - first_v ) >> 1 ) );
   1912 
   1913           p = last->next;
   1914           if ( p->v < last_v )
   1915             segment->height = (FT_Short)( segment->height +
   1916                                           ( ( last_v - p->v ) >> 1 ) );
   1917         }
   1918       }
   1919     }
   1920 
   1921   Exit:
   1922     return error;
   1923   }
   1924 
   1925 
   1926   /* Link segments to form stems and serifs.  If `width_count' and      */
   1927   /* `widths' are non-zero, use them to fine-tune the scoring function. */
   1928 
   1929   FT_LOCAL_DEF( void )
   1930   af_latin_hints_link_segments( AF_GlyphHints  hints,
   1931                                 FT_UInt        width_count,
   1932                                 AF_WidthRec*   widths,
   1933                                 AF_Dimension   dim )
   1934   {
   1935     AF_AxisHints  axis          = &hints->axis[dim];
   1936     AF_Segment    segments      = axis->segments;
   1937     AF_Segment    segment_limit = segments + axis->num_segments;
   1938     FT_Pos        len_threshold, len_score, dist_score, max_width;
   1939     AF_Segment    seg1, seg2;
   1940 
   1941 
   1942     if ( width_count )
   1943       max_width = widths[width_count - 1].org;
   1944     else
   1945       max_width = 0;
   1946 
   1947     /* a heuristic value to set up a minimum value for overlapping */
   1948     len_threshold = AF_LATIN_CONSTANT( hints->metrics, 8 );
   1949     if ( len_threshold == 0 )
   1950       len_threshold = 1;
   1951 
   1952     /* a heuristic value to weight lengths */
   1953     len_score = AF_LATIN_CONSTANT( hints->metrics, 6000 );
   1954 
   1955     /* a heuristic value to weight distances (no call to    */
   1956     /* AF_LATIN_CONSTANT needed, since we work on multiples */
   1957     /* of the stem width)                                   */
   1958     dist_score = 3000;
   1959 
   1960     /* now compare each segment to the others */
   1961     for ( seg1 = segments; seg1 < segment_limit; seg1++ )
   1962     {
   1963       if ( seg1->dir != axis->major_dir )
   1964         continue;
   1965 
   1966       /* search for stems having opposite directions, */
   1967       /* with seg1 to the `left' of seg2              */
   1968       for ( seg2 = segments; seg2 < segment_limit; seg2++ )
   1969       {
   1970         FT_Pos  pos1 = seg1->pos;
   1971         FT_Pos  pos2 = seg2->pos;
   1972 
   1973 
   1974         if ( seg1->dir + seg2->dir == 0 && pos2 > pos1 )
   1975         {
   1976           /* compute distance between the two segments */
   1977           FT_Pos  min = seg1->min_coord;
   1978           FT_Pos  max = seg1->max_coord;
   1979           FT_Pos  len;
   1980 
   1981 
   1982           if ( min < seg2->min_coord )
   1983             min = seg2->min_coord;
   1984 
   1985           if ( max > seg2->max_coord )
   1986             max = seg2->max_coord;
   1987 
   1988           /* compute maximum coordinate difference of the two segments */
   1989           /* (this is, how much they overlap)                          */
   1990           len = max - min;
   1991           if ( len >= len_threshold )
   1992           {
   1993             /*
   1994              * The score is the sum of two demerits indicating the
   1995              * `badness' of a fit, measured along the segments' main axis
   1996              * and orthogonal to it, respectively.
   1997              *
   1998              * - The less overlapping along the main axis, the worse it
   1999              *   is, causing a larger demerit.
   2000              *
   2001              * - The nearer the orthogonal distance to a stem width, the
   2002              *   better it is, causing a smaller demerit.  For simplicity,
   2003              *   however, we only increase the demerit for values that
   2004              *   exceed the largest stem width.
   2005              */
   2006 
   2007             FT_Pos  dist = pos2 - pos1;
   2008 
   2009             FT_Pos  dist_demerit, score;
   2010 
   2011 
   2012             if ( max_width )
   2013             {
   2014               /* distance demerits are based on multiples of `max_width'; */
   2015               /* we scale by 1024 for getting more precision              */
   2016               FT_Pos  delta = ( dist << 10 ) / max_width - ( 1 << 10 );
   2017 
   2018 
   2019               if ( delta > 10000 )
   2020                 dist_demerit = 32000;
   2021               else if ( delta > 0 )
   2022                 dist_demerit = delta * delta / dist_score;
   2023               else
   2024                 dist_demerit = 0;
   2025             }
   2026             else
   2027               dist_demerit = dist; /* default if no widths available */
   2028 
   2029             score = dist_demerit + len_score / len;
   2030 
   2031             /* and we search for the smallest score */
   2032             if ( score < seg1->score )
   2033             {
   2034               seg1->score = score;
   2035               seg1->link  = seg2;
   2036             }
   2037 
   2038             if ( score < seg2->score )
   2039             {
   2040               seg2->score = score;
   2041               seg2->link  = seg1;
   2042             }
   2043           }
   2044         }
   2045       }
   2046     }
   2047 
   2048     /* now compute the `serif' segments, cf. explanations in `afhints.h' */
   2049     for ( seg1 = segments; seg1 < segment_limit; seg1++ )
   2050     {
   2051       seg2 = seg1->link;
   2052 
   2053       if ( seg2 )
   2054       {
   2055         if ( seg2->link != seg1 )
   2056         {
   2057           seg1->link  = 0;
   2058           seg1->serif = seg2->link;
   2059         }
   2060       }
   2061     }
   2062   }
   2063 
   2064 
   2065   /* Link segments to edges, using feature analysis for selection. */
   2066 
   2067   FT_LOCAL_DEF( FT_Error )
   2068   af_latin_hints_compute_edges( AF_GlyphHints  hints,
   2069                                 AF_Dimension   dim )
   2070   {
   2071     AF_AxisHints  axis   = &hints->axis[dim];
   2072     FT_Error      error  = FT_Err_Ok;
   2073     FT_Memory     memory = hints->memory;
   2074     AF_LatinAxis  laxis  = &((AF_LatinMetrics)hints->metrics)->axis[dim];
   2075 
   2076     AF_StyleClass   style_class  = hints->metrics->style_class;
   2077     AF_ScriptClass  script_class = af_script_classes[style_class->script];
   2078 
   2079     FT_Bool  top_to_bottom_hinting = 0;
   2080 
   2081     AF_Segment    segments      = axis->segments;
   2082     AF_Segment    segment_limit = segments + axis->num_segments;
   2083     AF_Segment    seg;
   2084 
   2085 #if 0
   2086     AF_Direction  up_dir;
   2087 #endif
   2088     FT_Fixed      scale;
   2089     FT_Pos        edge_distance_threshold;
   2090     FT_Pos        segment_length_threshold;
   2091     FT_Pos        segment_width_threshold;
   2092 
   2093 
   2094     axis->num_edges = 0;
   2095 
   2096     scale = ( dim == AF_DIMENSION_HORZ ) ? hints->x_scale
   2097                                          : hints->y_scale;
   2098 
   2099 #if 0
   2100     up_dir = ( dim == AF_DIMENSION_HORZ ) ? AF_DIR_UP
   2101                                           : AF_DIR_RIGHT;
   2102 #endif
   2103 
   2104     if ( dim == AF_DIMENSION_VERT )
   2105       top_to_bottom_hinting = script_class->top_to_bottom_hinting;
   2106 
   2107     /*
   2108      * We ignore all segments that are less than 1 pixel in length
   2109      * to avoid many problems with serif fonts.  We compute the
   2110      * corresponding threshold in font units.
   2111      */
   2112     if ( dim == AF_DIMENSION_HORZ )
   2113       segment_length_threshold = FT_DivFix( 64, hints->y_scale );
   2114     else
   2115       segment_length_threshold = 0;
   2116 
   2117     /*
   2118      * Similarly, we ignore segments that have a width delta
   2119      * larger than 0.5px (i.e., a width larger than 1px).
   2120      */
   2121     segment_width_threshold = FT_DivFix( 32, scale );
   2122 
   2123     /**********************************************************************
   2124      *
   2125      * We begin by generating a sorted table of edges for the current
   2126      * direction.  To do so, we simply scan each segment and try to find
   2127      * an edge in our table that corresponds to its position.
   2128      *
   2129      * If no edge is found, we create and insert a new edge in the
   2130      * sorted table.  Otherwise, we simply add the segment to the edge's
   2131      * list which gets processed in the second step to compute the
   2132      * edge's properties.
   2133      *
   2134      * Note that the table of edges is sorted along the segment/edge
   2135      * position.
   2136      *
   2137      */
   2138 
   2139     /* assure that edge distance threshold is at most 0.25px */
   2140     edge_distance_threshold = FT_MulFix( laxis->edge_distance_threshold,
   2141                                          scale );
   2142     if ( edge_distance_threshold > 64 / 4 )
   2143       edge_distance_threshold = 64 / 4;
   2144 
   2145     edge_distance_threshold = FT_DivFix( edge_distance_threshold,
   2146                                          scale );
   2147 
   2148     for ( seg = segments; seg < segment_limit; seg++ )
   2149     {
   2150       AF_Edge  found = NULL;
   2151       FT_Int   ee;
   2152 
   2153 
   2154       /* ignore too short segments, too wide ones, and, in this loop, */
   2155       /* one-point segments without a direction                       */
   2156       if ( seg->height < segment_length_threshold ||
   2157            seg->delta > segment_width_threshold   ||
   2158            seg->dir == AF_DIR_NONE                )
   2159         continue;
   2160 
   2161       /* A special case for serif edges: If they are smaller than */
   2162       /* 1.5 pixels we ignore them.                               */
   2163       if ( seg->serif                                     &&
   2164            2 * seg->height < 3 * segment_length_threshold )
   2165         continue;
   2166 
   2167       /* look for an edge corresponding to the segment */
   2168       for ( ee = 0; ee < axis->num_edges; ee++ )
   2169       {
   2170         AF_Edge  edge = axis->edges + ee;
   2171         FT_Pos   dist;
   2172 
   2173 
   2174         dist = seg->pos - edge->fpos;
   2175         if ( dist < 0 )
   2176           dist = -dist;
   2177 
   2178         if ( dist < edge_distance_threshold && edge->dir == seg->dir )
   2179         {
   2180           found = edge;
   2181           break;
   2182         }
   2183       }
   2184 
   2185       if ( !found )
   2186       {
   2187         AF_Edge  edge;
   2188 
   2189 
   2190         /* insert a new edge in the list and */
   2191         /* sort according to the position    */
   2192         error = af_axis_hints_new_edge( axis, seg->pos,
   2193                                         (AF_Direction)seg->dir,
   2194                                         top_to_bottom_hinting,
   2195                                         memory, &edge );
   2196         if ( error )
   2197           goto Exit;
   2198 
   2199         /* add the segment to the new edge's list */
   2200         FT_ZERO( edge );
   2201 
   2202         edge->first    = seg;
   2203         edge->last     = seg;
   2204         edge->dir      = seg->dir;
   2205         edge->fpos     = seg->pos;
   2206         edge->opos     = FT_MulFix( seg->pos, scale );
   2207         edge->pos      = edge->opos;
   2208         seg->edge_next = seg;
   2209       }
   2210       else
   2211       {
   2212         /* if an edge was found, simply add the segment to the edge's */
   2213         /* list                                                       */
   2214         seg->edge_next         = found->first;
   2215         found->last->edge_next = seg;
   2216         found->last            = seg;
   2217       }
   2218     }
   2219 
   2220     /* we loop again over all segments to catch one-point segments   */
   2221     /* without a direction: if possible, link them to existing edges */
   2222     for ( seg = segments; seg < segment_limit; seg++ )
   2223     {
   2224       AF_Edge  found = NULL;
   2225       FT_Int   ee;
   2226 
   2227 
   2228       if ( seg->dir != AF_DIR_NONE )
   2229         continue;
   2230 
   2231       /* look for an edge corresponding to the segment */
   2232       for ( ee = 0; ee < axis->num_edges; ee++ )
   2233       {
   2234         AF_Edge  edge = axis->edges + ee;
   2235         FT_Pos   dist;
   2236 
   2237 
   2238         dist = seg->pos - edge->fpos;
   2239         if ( dist < 0 )
   2240           dist = -dist;
   2241 
   2242         if ( dist < edge_distance_threshold )
   2243         {
   2244           found = edge;
   2245           break;
   2246         }
   2247       }
   2248 
   2249       /* one-point segments without a match are ignored */
   2250       if ( found )
   2251       {
   2252         seg->edge_next         = found->first;
   2253         found->last->edge_next = seg;
   2254         found->last            = seg;
   2255       }
   2256     }
   2257 
   2258 
   2259     /*******************************************************************
   2260      *
   2261      * Good, we now compute each edge's properties according to the
   2262      * segments found on its position.  Basically, these are
   2263      *
   2264      * - the edge's main direction
   2265      * - stem edge, serif edge or both (which defaults to stem then)
   2266      * - rounded edge, straight or both (which defaults to straight)
   2267      * - link for edge
   2268      *
   2269      */
   2270 
   2271     /* first of all, set the `edge' field in each segment -- this is */
   2272     /* required in order to compute edge links                       */
   2273 
   2274     /*
   2275      * Note that removing this loop and setting the `edge' field of each
   2276      * segment directly in the code above slows down execution speed for
   2277      * some reasons on platforms like the Sun.
   2278      */
   2279     {
   2280       AF_Edge  edges      = axis->edges;
   2281       AF_Edge  edge_limit = edges + axis->num_edges;
   2282       AF_Edge  edge;
   2283 
   2284 
   2285       for ( edge = edges; edge < edge_limit; edge++ )
   2286       {
   2287         seg = edge->first;
   2288         if ( seg )
   2289           do
   2290           {
   2291             seg->edge = edge;
   2292             seg       = seg->edge_next;
   2293 
   2294           } while ( seg != edge->first );
   2295       }
   2296 
   2297       /* now compute each edge properties */
   2298       for ( edge = edges; edge < edge_limit; edge++ )
   2299       {
   2300         FT_Int  is_round    = 0;  /* does it contain round segments?    */
   2301         FT_Int  is_straight = 0;  /* does it contain straight segments? */
   2302 #if 0
   2303         FT_Pos  ups         = 0;  /* number of upwards segments         */
   2304         FT_Pos  downs       = 0;  /* number of downwards segments       */
   2305 #endif
   2306 
   2307 
   2308         seg = edge->first;
   2309 
   2310         do
   2311         {
   2312           FT_Bool  is_serif;
   2313 
   2314 
   2315           /* check for roundness of segment */
   2316           if ( seg->flags & AF_EDGE_ROUND )
   2317             is_round++;
   2318           else
   2319             is_straight++;
   2320 
   2321 #if 0
   2322           /* check for segment direction */
   2323           if ( seg->dir == up_dir )
   2324             ups   += seg->max_coord - seg->min_coord;
   2325           else
   2326             downs += seg->max_coord - seg->min_coord;
   2327 #endif
   2328 
   2329           /* check for links -- if seg->serif is set, then seg->link must */
   2330           /* be ignored                                                   */
   2331           is_serif = (FT_Bool)( seg->serif               &&
   2332                                 seg->serif->edge         &&
   2333                                 seg->serif->edge != edge );
   2334 
   2335           if ( ( seg->link && seg->link->edge ) || is_serif )
   2336           {
   2337             AF_Edge     edge2;
   2338             AF_Segment  seg2;
   2339 
   2340 
   2341             edge2 = edge->link;
   2342             seg2  = seg->link;
   2343 
   2344             if ( is_serif )
   2345             {
   2346               seg2  = seg->serif;
   2347               edge2 = edge->serif;
   2348             }
   2349 
   2350             if ( edge2 )
   2351             {
   2352               FT_Pos  edge_delta;
   2353               FT_Pos  seg_delta;
   2354 
   2355 
   2356               edge_delta = edge->fpos - edge2->fpos;
   2357               if ( edge_delta < 0 )
   2358                 edge_delta = -edge_delta;
   2359 
   2360               seg_delta = seg->pos - seg2->pos;
   2361               if ( seg_delta < 0 )
   2362                 seg_delta = -seg_delta;
   2363 
   2364               if ( seg_delta < edge_delta )
   2365                 edge2 = seg2->edge;
   2366             }
   2367             else
   2368               edge2 = seg2->edge;
   2369 
   2370             if ( is_serif )
   2371             {
   2372               edge->serif   = edge2;
   2373               edge2->flags |= AF_EDGE_SERIF;
   2374             }
   2375             else
   2376               edge->link  = edge2;
   2377           }
   2378 
   2379           seg = seg->edge_next;
   2380 
   2381         } while ( seg != edge->first );
   2382 
   2383         /* set the round/straight flags */
   2384         edge->flags = AF_EDGE_NORMAL;
   2385 
   2386         if ( is_round > 0 && is_round >= is_straight )
   2387           edge->flags |= AF_EDGE_ROUND;
   2388 
   2389 #if 0
   2390         /* set the edge's main direction */
   2391         edge->dir = AF_DIR_NONE;
   2392 
   2393         if ( ups > downs )
   2394           edge->dir = (FT_Char)up_dir;
   2395 
   2396         else if ( ups < downs )
   2397           edge->dir = (FT_Char)-up_dir;
   2398 
   2399         else if ( ups == downs )
   2400           edge->dir = 0;  /* both up and down! */
   2401 #endif
   2402 
   2403         /* get rid of serifs if link is set                 */
   2404         /* XXX: This gets rid of many unpleasant artefacts! */
   2405         /*      Example: the `c' in cour.pfa at size 13     */
   2406 
   2407         if ( edge->serif && edge->link )
   2408           edge->serif = NULL;
   2409       }
   2410     }
   2411 
   2412   Exit:
   2413     return error;
   2414   }
   2415 
   2416 
   2417   /* Detect segments and edges for given dimension. */
   2418 
   2419   FT_LOCAL_DEF( FT_Error )
   2420   af_latin_hints_detect_features( AF_GlyphHints  hints,
   2421                                   FT_UInt        width_count,
   2422                                   AF_WidthRec*   widths,
   2423                                   AF_Dimension   dim )
   2424   {
   2425     FT_Error  error;
   2426 
   2427 
   2428     error = af_latin_hints_compute_segments( hints, dim );
   2429     if ( !error )
   2430     {
   2431       af_latin_hints_link_segments( hints, width_count, widths, dim );
   2432 
   2433       error = af_latin_hints_compute_edges( hints, dim );
   2434     }
   2435 
   2436     return error;
   2437   }
   2438 
   2439 
   2440   /* Compute all edges which lie within blue zones. */
   2441 
   2442   static void
   2443   af_latin_hints_compute_blue_edges( AF_GlyphHints    hints,
   2444                                      AF_LatinMetrics  metrics )
   2445   {
   2446     AF_AxisHints  axis       = &hints->axis[AF_DIMENSION_VERT];
   2447     AF_Edge       edge       = axis->edges;
   2448     AF_Edge       edge_limit = edge + axis->num_edges;
   2449     AF_LatinAxis  latin      = &metrics->axis[AF_DIMENSION_VERT];
   2450     FT_Fixed      scale      = latin->scale;
   2451 
   2452 
   2453     /* compute which blue zones are active, i.e. have their scaled */
   2454     /* size < 3/4 pixels                                           */
   2455 
   2456     /* for each horizontal edge search the blue zone which is closest */
   2457     for ( ; edge < edge_limit; edge++ )
   2458     {
   2459       FT_UInt   bb;
   2460       AF_Width  best_blue            = NULL;
   2461       FT_Bool   best_blue_is_neutral = 0;
   2462       FT_Pos    best_dist;                 /* initial threshold */
   2463 
   2464 
   2465       /* compute the initial threshold as a fraction of the EM size */
   2466       /* (the value 40 is heuristic)                                */
   2467       best_dist = FT_MulFix( metrics->units_per_em / 40, scale );
   2468 
   2469       /* assure a minimum distance of 0.5px */
   2470       if ( best_dist > 64 / 2 )
   2471         best_dist = 64 / 2;
   2472 
   2473       for ( bb = 0; bb < latin->blue_count; bb++ )
   2474       {
   2475         AF_LatinBlue  blue = latin->blues + bb;
   2476         FT_Bool       is_top_blue, is_neutral_blue, is_major_dir;
   2477 
   2478 
   2479         /* skip inactive blue zones (i.e., those that are too large) */
   2480         if ( !( blue->flags & AF_LATIN_BLUE_ACTIVE ) )
   2481           continue;
   2482 
   2483         /* if it is a top zone, check for right edges (against the major */
   2484         /* direction); if it is a bottom zone, check for left edges (in  */
   2485         /* the major direction) -- this assumes the TrueType convention  */
   2486         /* for the orientation of contours                               */
   2487         is_top_blue =
   2488           (FT_Byte)( ( blue->flags & ( AF_LATIN_BLUE_TOP     |
   2489                                        AF_LATIN_BLUE_SUB_TOP ) ) != 0 );
   2490         is_neutral_blue =
   2491           (FT_Byte)( ( blue->flags & AF_LATIN_BLUE_NEUTRAL ) != 0);
   2492         is_major_dir =
   2493           FT_BOOL( edge->dir == axis->major_dir );
   2494 
   2495         /* neutral blue zones are handled for both directions */
   2496         if ( is_top_blue ^ is_major_dir || is_neutral_blue )
   2497         {
   2498           FT_Pos  dist;
   2499 
   2500 
   2501           /* first of all, compare it to the reference position */
   2502           dist = edge->fpos - blue->ref.org;
   2503           if ( dist < 0 )
   2504             dist = -dist;
   2505 
   2506           dist = FT_MulFix( dist, scale );
   2507           if ( dist < best_dist )
   2508           {
   2509             best_dist            = dist;
   2510             best_blue            = &blue->ref;
   2511             best_blue_is_neutral = is_neutral_blue;
   2512           }
   2513 
   2514           /* now compare it to the overshoot position and check whether */
   2515           /* the edge is rounded, and whether the edge is over the      */
   2516           /* reference position of a top zone, or under the reference   */
   2517           /* position of a bottom zone (provided we don't have a        */
   2518           /* neutral blue zone)                                         */
   2519           if ( edge->flags & AF_EDGE_ROUND &&
   2520                dist != 0                   &&
   2521                !is_neutral_blue            )
   2522           {
   2523             FT_Bool  is_under_ref = FT_BOOL( edge->fpos < blue->ref.org );
   2524 
   2525 
   2526             if ( is_top_blue ^ is_under_ref )
   2527             {
   2528               dist = edge->fpos - blue->shoot.org;
   2529               if ( dist < 0 )
   2530                 dist = -dist;
   2531 
   2532               dist = FT_MulFix( dist, scale );
   2533               if ( dist < best_dist )
   2534               {
   2535                 best_dist            = dist;
   2536                 best_blue            = &blue->shoot;
   2537                 best_blue_is_neutral = is_neutral_blue;
   2538               }
   2539             }
   2540           }
   2541         }
   2542       }
   2543 
   2544       if ( best_blue )
   2545       {
   2546         edge->blue_edge = best_blue;
   2547         if ( best_blue_is_neutral )
   2548           edge->flags |= AF_EDGE_NEUTRAL;
   2549       }
   2550     }
   2551   }
   2552 
   2553 
   2554   /* Initalize hinting engine. */
   2555 
   2556   static FT_Error
   2557   af_latin_hints_init( AF_GlyphHints    hints,
   2558                        AF_LatinMetrics  metrics )
   2559   {
   2560     FT_Render_Mode  mode;
   2561     FT_UInt32       scaler_flags, other_flags;
   2562     FT_Face         face = metrics->root.scaler.face;
   2563 
   2564 
   2565     af_glyph_hints_rescale( hints, (AF_StyleMetrics)metrics );
   2566 
   2567     /*
   2568      * correct x_scale and y_scale if needed, since they may have
   2569      * been modified by `af_latin_metrics_scale_dim' above
   2570      */
   2571     hints->x_scale = metrics->axis[AF_DIMENSION_HORZ].scale;
   2572     hints->x_delta = metrics->axis[AF_DIMENSION_HORZ].delta;
   2573     hints->y_scale = metrics->axis[AF_DIMENSION_VERT].scale;
   2574     hints->y_delta = metrics->axis[AF_DIMENSION_VERT].delta;
   2575 
   2576     /* compute flags depending on render mode, etc. */
   2577     mode = metrics->root.scaler.render_mode;
   2578 
   2579 #if 0 /* #ifdef AF_CONFIG_OPTION_USE_WARPER */
   2580     if ( mode == FT_RENDER_MODE_LCD || mode == FT_RENDER_MODE_LCD_V )
   2581       metrics->root.scaler.render_mode = mode = FT_RENDER_MODE_NORMAL;
   2582 #endif
   2583 
   2584     scaler_flags = hints->scaler_flags;
   2585     other_flags  = 0;
   2586 
   2587     /*
   2588      * We snap the width of vertical stems for the monochrome and
   2589      * horizontal LCD rendering targets only.
   2590      */
   2591     if ( mode == FT_RENDER_MODE_MONO || mode == FT_RENDER_MODE_LCD )
   2592       other_flags |= AF_LATIN_HINTS_HORZ_SNAP;
   2593 
   2594     /*
   2595      * We snap the width of horizontal stems for the monochrome and
   2596      * vertical LCD rendering targets only.
   2597      */
   2598     if ( mode == FT_RENDER_MODE_MONO || mode == FT_RENDER_MODE_LCD_V )
   2599       other_flags |= AF_LATIN_HINTS_VERT_SNAP;
   2600 
   2601     /*
   2602      * We adjust stems to full pixels unless in `light' or `lcd' mode.
   2603      */
   2604     if ( mode != FT_RENDER_MODE_LIGHT && mode != FT_RENDER_MODE_LCD )
   2605       other_flags |= AF_LATIN_HINTS_STEM_ADJUST;
   2606 
   2607     if ( mode == FT_RENDER_MODE_MONO )
   2608       other_flags |= AF_LATIN_HINTS_MONO;
   2609 
   2610     /*
   2611      * In `light' or `lcd' mode we disable horizontal hinting completely.
   2612      * We also do it if the face is italic.
   2613      *
   2614      * However, if warping is enabled (which only works in `light' hinting
   2615      * mode), advance widths get adjusted, too.
   2616      */
   2617     if ( mode == FT_RENDER_MODE_LIGHT || mode == FT_RENDER_MODE_LCD ||
   2618          ( face->style_flags & FT_STYLE_FLAG_ITALIC ) != 0          )
   2619       scaler_flags |= AF_SCALER_FLAG_NO_HORIZONTAL;
   2620 
   2621 #ifdef AF_CONFIG_OPTION_USE_WARPER
   2622     /* get (global) warper flag */
   2623     if ( !metrics->root.globals->module->warping )
   2624       scaler_flags |= AF_SCALER_FLAG_NO_WARPER;
   2625 #endif
   2626 
   2627     hints->scaler_flags = scaler_flags;
   2628     hints->other_flags  = other_flags;
   2629 
   2630     return FT_Err_Ok;
   2631   }
   2632 
   2633 
   2634   /*************************************************************************/
   2635   /*************************************************************************/
   2636   /*****                                                               *****/
   2637   /*****        L A T I N   G L Y P H   G R I D - F I T T I N G        *****/
   2638   /*****                                                               *****/
   2639   /*************************************************************************/
   2640   /*************************************************************************/
   2641 
   2642   /* Snap a given width in scaled coordinates to one of the */
   2643   /* current standard widths.                               */
   2644 
   2645   static FT_Pos
   2646   af_latin_snap_width( AF_Width  widths,
   2647                        FT_UInt   count,
   2648                        FT_Pos    width )
   2649   {
   2650     FT_UInt  n;
   2651     FT_Pos   best      = 64 + 32 + 2;
   2652     FT_Pos   reference = width;
   2653     FT_Pos   scaled;
   2654 
   2655 
   2656     for ( n = 0; n < count; n++ )
   2657     {
   2658       FT_Pos  w;
   2659       FT_Pos  dist;
   2660 
   2661 
   2662       w = widths[n].cur;
   2663       dist = width - w;
   2664       if ( dist < 0 )
   2665         dist = -dist;
   2666       if ( dist < best )
   2667       {
   2668         best      = dist;
   2669         reference = w;
   2670       }
   2671     }
   2672 
   2673     scaled = FT_PIX_ROUND( reference );
   2674 
   2675     if ( width >= reference )
   2676     {
   2677       if ( width < scaled + 48 )
   2678         width = reference;
   2679     }
   2680     else
   2681     {
   2682       if ( width > scaled - 48 )
   2683         width = reference;
   2684     }
   2685 
   2686     return width;
   2687   }
   2688 
   2689 
   2690   /* Compute the snapped width of a given stem, ignoring very thin ones. */
   2691   /* There is a lot of voodoo in this function; changing the hard-coded  */
   2692   /* parameters influence the whole hinting process.                     */
   2693 
   2694   static FT_Pos
   2695   af_latin_compute_stem_width( AF_GlyphHints  hints,
   2696                                AF_Dimension   dim,
   2697                                FT_Pos         width,
   2698                                FT_Pos         base_delta,
   2699                                FT_UInt        base_flags,
   2700                                FT_UInt        stem_flags )
   2701   {
   2702     AF_LatinMetrics  metrics  = (AF_LatinMetrics)hints->metrics;
   2703     AF_LatinAxis     axis     = &metrics->axis[dim];
   2704     FT_Pos           dist     = width;
   2705     FT_Int           sign     = 0;
   2706     FT_Int           vertical = ( dim == AF_DIMENSION_VERT );
   2707 
   2708 
   2709     if ( !AF_LATIN_HINTS_DO_STEM_ADJUST( hints ) ||
   2710          axis->extra_light                       )
   2711       return width;
   2712 
   2713     if ( dist < 0 )
   2714     {
   2715       dist = -width;
   2716       sign = 1;
   2717     }
   2718 
   2719     if ( (  vertical && !AF_LATIN_HINTS_DO_VERT_SNAP( hints ) ) ||
   2720          ( !vertical && !AF_LATIN_HINTS_DO_HORZ_SNAP( hints ) ) )
   2721     {
   2722       /* smooth hinting process: very lightly quantize the stem width */
   2723 
   2724       /* leave the widths of serifs alone */
   2725       if ( ( stem_flags & AF_EDGE_SERIF ) &&
   2726            vertical                       &&
   2727            ( dist < 3 * 64 )              )
   2728         goto Done_Width;
   2729 
   2730       else if ( base_flags & AF_EDGE_ROUND )
   2731       {
   2732         if ( dist < 80 )
   2733           dist = 64;
   2734       }
   2735       else if ( dist < 56 )
   2736         dist = 56;
   2737 
   2738       if ( axis->width_count > 0 )
   2739       {
   2740         FT_Pos  delta;
   2741 
   2742 
   2743         /* compare to standard width */
   2744         delta = dist - axis->widths[0].cur;
   2745 
   2746         if ( delta < 0 )
   2747           delta = -delta;
   2748 
   2749         if ( delta < 40 )
   2750         {
   2751           dist = axis->widths[0].cur;
   2752           if ( dist < 48 )
   2753             dist = 48;
   2754 
   2755           goto Done_Width;
   2756         }
   2757 
   2758         if ( dist < 3 * 64 )
   2759         {
   2760           delta  = dist & 63;
   2761           dist  &= -64;
   2762 
   2763           if ( delta < 10 )
   2764             dist += delta;
   2765 
   2766           else if ( delta < 32 )
   2767             dist += 10;
   2768 
   2769           else if ( delta < 54 )
   2770             dist += 54;
   2771 
   2772           else
   2773             dist += delta;
   2774         }
   2775         else
   2776         {
   2777           /* A stem's end position depends on two values: the start        */
   2778           /* position and the stem length.  The former gets usually        */
   2779           /* rounded to the grid, while the latter gets rounded also if it */
   2780           /* exceeds a certain length (see below in this function).  This  */
   2781           /* `double rounding' can lead to a great difference to the       */
   2782           /* original, unhinted position; this normally doesn't matter for */
   2783           /* large PPEM values, but for small sizes it can easily make     */
   2784           /* outlines collide.  For this reason, we adjust the stem length */
   2785           /* by a small amount depending on the PPEM value in case the     */
   2786           /* former and latter rounding both point into the same           */
   2787           /* direction.                                                    */
   2788 
   2789           FT_Pos  bdelta = 0;
   2790 
   2791 
   2792           if ( ( ( width > 0 ) && ( base_delta > 0 ) ) ||
   2793                ( ( width < 0 ) && ( base_delta < 0 ) ) )
   2794           {
   2795             FT_UInt  ppem = metrics->root.scaler.face->size->metrics.x_ppem;
   2796 
   2797 
   2798             if ( ppem < 10 )
   2799               bdelta = base_delta;
   2800             else if ( ppem < 30 )
   2801               bdelta = ( base_delta * (FT_Pos)( 30 - ppem ) ) / 20;
   2802 
   2803             if ( bdelta < 0 )
   2804               bdelta = -bdelta;
   2805           }
   2806 
   2807           dist = ( dist - bdelta + 32 ) & ~63;
   2808         }
   2809       }
   2810     }
   2811     else
   2812     {
   2813       /* strong hinting process: snap the stem width to integer pixels */
   2814 
   2815       FT_Pos  org_dist = dist;
   2816 
   2817 
   2818       dist = af_latin_snap_width( axis->widths, axis->width_count, dist );
   2819 
   2820       if ( vertical )
   2821       {
   2822         /* in the case of vertical hinting, always round */
   2823         /* the stem heights to integer pixels            */
   2824 
   2825         if ( dist >= 64 )
   2826           dist = ( dist + 16 ) & ~63;
   2827         else
   2828           dist = 64;
   2829       }
   2830       else
   2831       {
   2832         if ( AF_LATIN_HINTS_DO_MONO( hints ) )
   2833         {
   2834           /* monochrome horizontal hinting: snap widths to integer pixels */
   2835           /* with a different threshold                                   */
   2836 
   2837           if ( dist < 64 )
   2838             dist = 64;
   2839           else
   2840             dist = ( dist + 32 ) & ~63;
   2841         }
   2842         else
   2843         {
   2844           /* for horizontal anti-aliased hinting, we adopt a more subtle */
   2845           /* approach: we strengthen small stems, round stems whose size */
   2846           /* is between 1 and 2 pixels to an integer, otherwise nothing  */
   2847 
   2848           if ( dist < 48 )
   2849             dist = ( dist + 64 ) >> 1;
   2850 
   2851           else if ( dist < 128 )
   2852           {
   2853             /* We only round to an integer width if the corresponding */
   2854             /* distortion is less than 1/4 pixel.  Otherwise this     */
   2855             /* makes everything worse since the diagonals, which are  */
   2856             /* not hinted, appear a lot bolder or thinner than the    */
   2857             /* vertical stems.                                        */
   2858 
   2859             FT_Pos  delta;
   2860 
   2861 
   2862             dist = ( dist + 22 ) & ~63;
   2863             delta = dist - org_dist;
   2864             if ( delta < 0 )
   2865               delta = -delta;
   2866 
   2867             if ( delta >= 16 )
   2868             {
   2869               dist = org_dist;
   2870               if ( dist < 48 )
   2871                 dist = ( dist + 64 ) >> 1;
   2872             }
   2873           }
   2874           else
   2875             /* round otherwise to prevent color fringes in LCD mode */
   2876             dist = ( dist + 32 ) & ~63;
   2877         }
   2878       }
   2879     }
   2880 
   2881   Done_Width:
   2882     if ( sign )
   2883       dist = -dist;
   2884 
   2885     return dist;
   2886   }
   2887 
   2888 
   2889   /* Align one stem edge relative to the previous stem edge. */
   2890 
   2891   static void
   2892   af_latin_align_linked_edge( AF_GlyphHints  hints,
   2893                               AF_Dimension   dim,
   2894                               AF_Edge        base_edge,
   2895                               AF_Edge        stem_edge )
   2896   {
   2897     FT_Pos  dist, base_delta;
   2898     FT_Pos  fitted_width;
   2899 
   2900 
   2901     dist       = stem_edge->opos - base_edge->opos;
   2902     base_delta = base_edge->pos - base_edge->opos;
   2903 
   2904     fitted_width = af_latin_compute_stem_width( hints, dim,
   2905                                                 dist, base_delta,
   2906                                                 base_edge->flags,
   2907                                                 stem_edge->flags );
   2908 
   2909 
   2910     stem_edge->pos = base_edge->pos + fitted_width;
   2911 
   2912     FT_TRACE5(( "  LINK: edge %d (opos=%.2f) linked to %.2f,"
   2913                 " dist was %.2f, now %.2f\n",
   2914                 stem_edge - hints->axis[dim].edges, stem_edge->opos / 64.0,
   2915                 stem_edge->pos / 64.0, dist / 64.0, fitted_width / 64.0 ));
   2916   }
   2917 
   2918 
   2919   /* Shift the coordinates of the `serif' edge by the same amount */
   2920   /* as the corresponding `base' edge has been moved already.     */
   2921 
   2922   static void
   2923   af_latin_align_serif_edge( AF_GlyphHints  hints,
   2924                              AF_Edge        base,
   2925                              AF_Edge        serif )
   2926   {
   2927     FT_UNUSED( hints );
   2928 
   2929     serif->pos = base->pos + ( serif->opos - base->opos );
   2930   }
   2931 
   2932 
   2933   /*************************************************************************/
   2934   /*************************************************************************/
   2935   /*************************************************************************/
   2936   /****                                                                 ****/
   2937   /****                    E D G E   H I N T I N G                      ****/
   2938   /****                                                                 ****/
   2939   /*************************************************************************/
   2940   /*************************************************************************/
   2941   /*************************************************************************/
   2942 
   2943 
   2944   /* The main grid-fitting routine. */
   2945 
   2946   static void
   2947   af_latin_hint_edges( AF_GlyphHints  hints,
   2948                        AF_Dimension   dim )
   2949   {
   2950     AF_AxisHints  axis       = &hints->axis[dim];
   2951     AF_Edge       edges      = axis->edges;
   2952     AF_Edge       edge_limit = edges + axis->num_edges;
   2953     FT_PtrDist    n_edges;
   2954     AF_Edge       edge;
   2955     AF_Edge       anchor     = NULL;
   2956     FT_Int        has_serifs = 0;
   2957 
   2958     AF_StyleClass   style_class  = hints->metrics->style_class;
   2959     AF_ScriptClass  script_class = af_script_classes[style_class->script];
   2960 
   2961     FT_Bool  top_to_bottom_hinting = 0;
   2962 
   2963 #ifdef FT_DEBUG_LEVEL_TRACE
   2964     FT_UInt  num_actions = 0;
   2965 #endif
   2966 
   2967 
   2968     FT_TRACE5(( "latin %s edge hinting (style `%s')\n",
   2969                 dim == AF_DIMENSION_VERT ? "horizontal" : "vertical",
   2970                 af_style_names[hints->metrics->style_class->style] ));
   2971 
   2972     if ( dim == AF_DIMENSION_VERT )
   2973       top_to_bottom_hinting = script_class->top_to_bottom_hinting;
   2974 
   2975     /* we begin by aligning all stems relative to the blue zone */
   2976     /* if needed -- that's only for horizontal edges            */
   2977 
   2978     if ( dim == AF_DIMENSION_VERT && AF_HINTS_DO_BLUES( hints ) )
   2979     {
   2980       for ( edge = edges; edge < edge_limit; edge++ )
   2981       {
   2982         AF_Width  blue;
   2983         AF_Edge   edge1, edge2; /* these edges form the stem to check */
   2984 
   2985 
   2986         if ( edge->flags & AF_EDGE_DONE )
   2987           continue;
   2988 
   2989         edge1 = NULL;
   2990         edge2 = edge->link;
   2991 
   2992         /*
   2993          * If a stem contains both a neutral and a non-neutral blue zone,
   2994          * skip the neutral one.  Otherwise, outlines with different
   2995          * directions might be incorrectly aligned at the same vertical
   2996          * position.
   2997          *
   2998          * If we have two neutral blue zones, skip one of them.
   2999          *
   3000          */
   3001         if ( edge->blue_edge && edge2 && edge2->blue_edge )
   3002         {
   3003           FT_Byte  neutral  = edge->flags  & AF_EDGE_NEUTRAL;
   3004           FT_Byte  neutral2 = edge2->flags & AF_EDGE_NEUTRAL;
   3005 
   3006 
   3007           if ( neutral2 )
   3008           {
   3009             edge2->blue_edge = NULL;
   3010             edge2->flags    &= ~AF_EDGE_NEUTRAL;
   3011           }
   3012           else if ( neutral )
   3013           {
   3014             edge->blue_edge = NULL;
   3015             edge->flags    &= ~AF_EDGE_NEUTRAL;
   3016           }
   3017         }
   3018 
   3019         blue = edge->blue_edge;
   3020         if ( blue )
   3021           edge1 = edge;
   3022 
   3023         /* flip edges if the other edge is aligned to a blue zone */
   3024         else if ( edge2 && edge2->blue_edge )
   3025         {
   3026           blue  = edge2->blue_edge;
   3027           edge1 = edge2;
   3028           edge2 = edge;
   3029         }
   3030 
   3031         if ( !edge1 )
   3032           continue;
   3033 
   3034 #ifdef FT_DEBUG_LEVEL_TRACE
   3035         if ( !anchor )
   3036           FT_TRACE5(( "  BLUE_ANCHOR: edge %d (opos=%.2f) snapped to %.2f,"
   3037                       " was %.2f (anchor=edge %d)\n",
   3038                       edge1 - edges, edge1->opos / 64.0, blue->fit / 64.0,
   3039                       edge1->pos / 64.0, edge - edges ));
   3040         else
   3041           FT_TRACE5(( "  BLUE: edge %d (opos=%.2f) snapped to %.2f,"
   3042                       " was %.2f\n",
   3043                       edge1 - edges, edge1->opos / 64.0, blue->fit / 64.0,
   3044                       edge1->pos / 64.0 ));
   3045 
   3046         num_actions++;
   3047 #endif
   3048 
   3049         edge1->pos    = blue->fit;
   3050         edge1->flags |= AF_EDGE_DONE;
   3051 
   3052         if ( edge2 && !edge2->blue_edge )
   3053         {
   3054           af_latin_align_linked_edge( hints, dim, edge1, edge2 );
   3055           edge2->flags |= AF_EDGE_DONE;
   3056 
   3057 #ifdef FT_DEBUG_LEVEL_TRACE
   3058           num_actions++;
   3059 #endif
   3060         }
   3061 
   3062         if ( !anchor )
   3063           anchor = edge;
   3064       }
   3065     }
   3066 
   3067     /* now we align all other stem edges, trying to maintain the */
   3068     /* relative order of stems in the glyph                      */
   3069     for ( edge = edges; edge < edge_limit; edge++ )
   3070     {
   3071       AF_Edge  edge2;
   3072 
   3073 
   3074       if ( edge->flags & AF_EDGE_DONE )
   3075         continue;
   3076 
   3077       /* skip all non-stem edges */
   3078       edge2 = edge->link;
   3079       if ( !edge2 )
   3080       {
   3081         has_serifs++;
   3082         continue;
   3083       }
   3084 
   3085       /* now align the stem */
   3086 
   3087       /* this should not happen, but it's better to be safe */
   3088       if ( edge2->blue_edge )
   3089       {
   3090         FT_TRACE5(( "  ASSERTION FAILED for edge %d\n", edge2 - edges ));
   3091 
   3092         af_latin_align_linked_edge( hints, dim, edge2, edge );
   3093         edge->flags |= AF_EDGE_DONE;
   3094 
   3095 #ifdef FT_DEBUG_LEVEL_TRACE
   3096         num_actions++;
   3097 #endif
   3098         continue;
   3099       }
   3100 
   3101       if ( !anchor )
   3102       {
   3103         /* if we reach this if clause, no stem has been aligned yet */
   3104 
   3105         FT_Pos  org_len, org_center, cur_len;
   3106         FT_Pos  cur_pos1, error1, error2, u_off, d_off;
   3107 
   3108 
   3109         org_len = edge2->opos - edge->opos;
   3110         cur_len = af_latin_compute_stem_width( hints, dim,
   3111                                                org_len, 0,
   3112                                                edge->flags,
   3113                                                edge2->flags );
   3114 
   3115         /* some voodoo to specially round edges for small stem widths; */
   3116         /* the idea is to align the center of a stem, then shifting    */
   3117         /* the stem edges to suitable positions                        */
   3118         if ( cur_len <= 64 )
   3119         {
   3120           /* width <= 1px */
   3121           u_off = 32;
   3122           d_off = 32;
   3123         }
   3124         else
   3125         {
   3126           /* 1px < width < 1.5px */
   3127           u_off = 38;
   3128           d_off = 26;
   3129         }
   3130 
   3131         if ( cur_len < 96 )
   3132         {
   3133           org_center = edge->opos + ( org_len >> 1 );
   3134           cur_pos1   = FT_PIX_ROUND( org_center );
   3135 
   3136           error1 = org_center - ( cur_pos1 - u_off );
   3137           if ( error1 < 0 )
   3138             error1 = -error1;
   3139 
   3140           error2 = org_center - ( cur_pos1 + d_off );
   3141           if ( error2 < 0 )
   3142             error2 = -error2;
   3143 
   3144           if ( error1 < error2 )
   3145             cur_pos1 -= u_off;
   3146           else
   3147             cur_pos1 += d_off;
   3148 
   3149           edge->pos  = cur_pos1 - cur_len / 2;
   3150           edge2->pos = edge->pos + cur_len;
   3151         }
   3152         else
   3153           edge->pos = FT_PIX_ROUND( edge->opos );
   3154 
   3155         anchor       = edge;
   3156         edge->flags |= AF_EDGE_DONE;
   3157 
   3158         FT_TRACE5(( "  ANCHOR: edge %d (opos=%.2f) and %d (opos=%.2f)"
   3159                     " snapped to %.2f and %.2f\n",
   3160                     edge - edges, edge->opos / 64.0,
   3161                     edge2 - edges, edge2->opos / 64.0,
   3162                     edge->pos / 64.0, edge2->pos / 64.0 ));
   3163 
   3164         af_latin_align_linked_edge( hints, dim, edge, edge2 );
   3165 
   3166 #ifdef FT_DEBUG_LEVEL_TRACE
   3167         num_actions += 2;
   3168 #endif
   3169       }
   3170       else
   3171       {
   3172         FT_Pos  org_pos, org_len, org_center, cur_len;
   3173         FT_Pos  cur_pos1, cur_pos2, delta1, delta2;
   3174 
   3175 
   3176         org_pos    = anchor->pos + ( edge->opos - anchor->opos );
   3177         org_len    = edge2->opos - edge->opos;
   3178         org_center = org_pos + ( org_len >> 1 );
   3179 
   3180         cur_len = af_latin_compute_stem_width( hints, dim,
   3181                                                org_len, 0,
   3182                                                edge->flags,
   3183                                                edge2->flags );
   3184 
   3185         if ( edge2->flags & AF_EDGE_DONE )
   3186         {
   3187           FT_TRACE5(( "  ADJUST: edge %d (pos=%.2f) moved to %.2f\n",
   3188                       edge - edges, edge->pos / 64.0,
   3189                       ( edge2->pos - cur_len ) / 64.0 ));
   3190 
   3191           edge->pos = edge2->pos - cur_len;
   3192         }
   3193 
   3194         else if ( cur_len < 96 )
   3195         {
   3196           FT_Pos  u_off, d_off;
   3197 
   3198 
   3199           cur_pos1 = FT_PIX_ROUND( org_center );
   3200 
   3201           if ( cur_len <= 64 )
   3202           {
   3203             u_off = 32;
   3204             d_off = 32;
   3205           }
   3206           else
   3207           {
   3208             u_off = 38;
   3209             d_off = 26;
   3210           }
   3211 
   3212           delta1 = org_center - ( cur_pos1 - u_off );
   3213           if ( delta1 < 0 )
   3214             delta1 = -delta1;
   3215 
   3216           delta2 = org_center - ( cur_pos1 + d_off );
   3217           if ( delta2 < 0 )
   3218             delta2 = -delta2;
   3219 
   3220           if ( delta1 < delta2 )
   3221             cur_pos1 -= u_off;
   3222           else
   3223             cur_pos1 += d_off;
   3224 
   3225           edge->pos  = cur_pos1 - cur_len / 2;
   3226           edge2->pos = cur_pos1 + cur_len / 2;
   3227 
   3228           FT_TRACE5(( "  STEM: edge %d (opos=%.2f) linked to %d (opos=%.2f)"
   3229                       " snapped to %.2f and %.2f\n",
   3230                       edge - edges, edge->opos / 64.0,
   3231                       edge2 - edges, edge2->opos / 64.0,
   3232                       edge->pos / 64.0, edge2->pos / 64.0 ));
   3233         }
   3234 
   3235         else
   3236         {
   3237           org_pos    = anchor->pos + ( edge->opos - anchor->opos );
   3238           org_len    = edge2->opos - edge->opos;
   3239           org_center = org_pos + ( org_len >> 1 );
   3240 
   3241           cur_len    = af_latin_compute_stem_width( hints, dim,
   3242                                                     org_len, 0,
   3243                                                     edge->flags,
   3244                                                     edge2->flags );
   3245 
   3246           cur_pos1 = FT_PIX_ROUND( org_pos );
   3247           delta1   = cur_pos1 + ( cur_len >> 1 ) - org_center;
   3248           if ( delta1 < 0 )
   3249             delta1 = -delta1;
   3250 
   3251           cur_pos2 = FT_PIX_ROUND( org_pos + org_len ) - cur_len;
   3252           delta2   = cur_pos2 + ( cur_len >> 1 ) - org_center;
   3253           if ( delta2 < 0 )
   3254             delta2 = -delta2;
   3255 
   3256           edge->pos  = ( delta1 < delta2 ) ? cur_pos1 : cur_pos2;
   3257           edge2->pos = edge->pos + cur_len;
   3258 
   3259           FT_TRACE5(( "  STEM: edge %d (opos=%.2f) linked to %d (opos=%.2f)"
   3260                       " snapped to %.2f and %.2f\n",
   3261                       edge - edges, edge->opos / 64.0,
   3262                       edge2 - edges, edge2->opos / 64.0,
   3263                       edge->pos / 64.0, edge2->pos / 64.0 ));
   3264         }
   3265 
   3266 #ifdef FT_DEBUG_LEVEL_TRACE
   3267         num_actions++;
   3268 #endif
   3269 
   3270         edge->flags  |= AF_EDGE_DONE;
   3271         edge2->flags |= AF_EDGE_DONE;
   3272 
   3273         if ( edge > edges                                             &&
   3274              ( top_to_bottom_hinting ? ( edge->pos > edge[-1].pos )
   3275                                      : ( edge->pos < edge[-1].pos ) ) )
   3276         {
   3277           /* don't move if stem would (almost) disappear otherwise; */
   3278           /* the ad-hoc value 16 corresponds to 1/4px               */
   3279           if ( edge->link && FT_ABS( edge->link->pos - edge[-1].pos ) > 16 )
   3280           {
   3281 #ifdef FT_DEBUG_LEVEL_TRACE
   3282             FT_TRACE5(( "  BOUND: edge %d (pos=%.2f) moved to %.2f\n",
   3283                         edge - edges,
   3284                         edge->pos / 64.0,
   3285                         edge[-1].pos / 64.0 ));
   3286 
   3287             num_actions++;
   3288 #endif
   3289 
   3290             edge->pos = edge[-1].pos;
   3291           }
   3292         }
   3293       }
   3294     }
   3295 
   3296     /* make sure that lowercase m's maintain their symmetry */
   3297 
   3298     /* In general, lowercase m's have six vertical edges if they are sans */
   3299     /* serif, or twelve if they are with serifs.  This implementation is  */
   3300     /* based on that assumption, and seems to work very well with most    */
   3301     /* faces.  However, if for a certain face this assumption is not      */
   3302     /* true, the m is just rendered like before.  In addition, any stem   */
   3303     /* correction will only be applied to symmetrical glyphs (even if the */
   3304     /* glyph is not an m), so the potential for unwanted distortion is    */
   3305     /* relatively low.                                                    */
   3306 
   3307     /* We don't handle horizontal edges since we can't easily assure that */
   3308     /* the third (lowest) stem aligns with the base line; it might end up */
   3309     /* one pixel higher or lower.                                         */
   3310 
   3311     n_edges = edge_limit - edges;
   3312     if ( dim == AF_DIMENSION_HORZ && ( n_edges == 6 || n_edges == 12 ) )
   3313     {
   3314       AF_Edge  edge1, edge2, edge3;
   3315       FT_Pos   dist1, dist2, span, delta;
   3316 
   3317 
   3318       if ( n_edges == 6 )
   3319       {
   3320         edge1 = edges;
   3321         edge2 = edges + 2;
   3322         edge3 = edges + 4;
   3323       }
   3324       else
   3325       {
   3326         edge1 = edges + 1;
   3327         edge2 = edges + 5;
   3328         edge3 = edges + 9;
   3329       }
   3330 
   3331       dist1 = edge2->opos - edge1->opos;
   3332       dist2 = edge3->opos - edge2->opos;
   3333 
   3334       span = dist1 - dist2;
   3335       if ( span < 0 )
   3336         span = -span;
   3337 
   3338       if ( span < 8 )
   3339       {
   3340         delta = edge3->pos - ( 2 * edge2->pos - edge1->pos );
   3341         edge3->pos -= delta;
   3342         if ( edge3->link )
   3343           edge3->link->pos -= delta;
   3344 
   3345         /* move the serifs along with the stem */
   3346         if ( n_edges == 12 )
   3347         {
   3348           ( edges + 8 )->pos -= delta;
   3349           ( edges + 11 )->pos -= delta;
   3350         }
   3351 
   3352         edge3->flags |= AF_EDGE_DONE;
   3353         if ( edge3->link )
   3354           edge3->link->flags |= AF_EDGE_DONE;
   3355       }
   3356     }
   3357 
   3358     if ( has_serifs || !anchor )
   3359     {
   3360       /*
   3361        * now hint the remaining edges (serifs and single) in order
   3362        * to complete our processing
   3363        */
   3364       for ( edge = edges; edge < edge_limit; edge++ )
   3365       {
   3366         FT_Pos  delta;
   3367 
   3368 
   3369         if ( edge->flags & AF_EDGE_DONE )
   3370           continue;
   3371 
   3372         delta = 1000;
   3373 
   3374         if ( edge->serif )
   3375         {
   3376           delta = edge->serif->opos - edge->opos;
   3377           if ( delta < 0 )
   3378             delta = -delta;
   3379         }
   3380 
   3381         if ( delta < 64 + 16 )
   3382         {
   3383           af_latin_align_serif_edge( hints, edge->serif, edge );
   3384           FT_TRACE5(( "  SERIF: edge %d (opos=%.2f) serif to %d (opos=%.2f)"
   3385                       " aligned to %.2f\n",
   3386                       edge - edges, edge->opos / 64.0,
   3387                       edge->serif - edges, edge->serif->opos / 64.0,
   3388                       edge->pos / 64.0 ));
   3389         }
   3390         else if ( !anchor )
   3391         {
   3392           edge->pos = FT_PIX_ROUND( edge->opos );
   3393           anchor    = edge;
   3394           FT_TRACE5(( "  SERIF_ANCHOR: edge %d (opos=%.2f)"
   3395                       " snapped to %.2f\n",
   3396                       edge-edges, edge->opos / 64.0, edge->pos / 64.0 ));
   3397         }
   3398         else
   3399         {
   3400           AF_Edge  before, after;
   3401 
   3402 
   3403           for ( before = edge - 1; before >= edges; before-- )
   3404             if ( before->flags & AF_EDGE_DONE )
   3405               break;
   3406 
   3407           for ( after = edge + 1; after < edge_limit; after++ )
   3408             if ( after->flags & AF_EDGE_DONE )
   3409               break;
   3410 
   3411           if ( before >= edges && before < edge   &&
   3412                after < edge_limit && after > edge )
   3413           {
   3414             if ( after->opos == before->opos )
   3415               edge->pos = before->pos;
   3416             else
   3417               edge->pos = before->pos +
   3418                           FT_MulDiv( edge->opos - before->opos,
   3419                                      after->pos - before->pos,
   3420                                      after->opos - before->opos );
   3421 
   3422             FT_TRACE5(( "  SERIF_LINK1: edge %d (opos=%.2f) snapped to %.2f"
   3423                         " from %d (opos=%.2f)\n",
   3424                         edge - edges, edge->opos / 64.0,
   3425                         edge->pos / 64.0,
   3426                         before - edges, before->opos / 64.0 ));
   3427           }
   3428           else
   3429           {
   3430             edge->pos = anchor->pos +
   3431                         ( ( edge->opos - anchor->opos + 16 ) & ~31 );
   3432             FT_TRACE5(( "  SERIF_LINK2: edge %d (opos=%.2f)"
   3433                         " snapped to %.2f\n",
   3434                         edge - edges, edge->opos / 64.0, edge->pos / 64.0 ));
   3435           }
   3436         }
   3437 
   3438 #ifdef FT_DEBUG_LEVEL_TRACE
   3439         num_actions++;
   3440 #endif
   3441         edge->flags |= AF_EDGE_DONE;
   3442 
   3443         if ( edge > edges                                             &&
   3444              ( top_to_bottom_hinting ? ( edge->pos > edge[-1].pos )
   3445                                      : ( edge->pos < edge[-1].pos ) ) )
   3446         {
   3447           /* don't move if stem would (almost) disappear otherwise; */
   3448           /* the ad-hoc value 16 corresponds to 1/4px               */
   3449           if ( edge->link && FT_ABS( edge->link->pos - edge[-1].pos ) > 16 )
   3450           {
   3451 #ifdef FT_DEBUG_LEVEL_TRACE
   3452             FT_TRACE5(( "  BOUND: edge %d (pos=%.2f) moved to %.2f\n",
   3453                         edge - edges,
   3454                         edge->pos / 64.0,
   3455                         edge[-1].pos / 64.0 ));
   3456 
   3457             num_actions++;
   3458 #endif
   3459             edge->pos = edge[-1].pos;
   3460           }
   3461         }
   3462 
   3463         if ( edge + 1 < edge_limit                                   &&
   3464              edge[1].flags & AF_EDGE_DONE                            &&
   3465              ( top_to_bottom_hinting ? ( edge->pos < edge[1].pos )
   3466                                      : ( edge->pos > edge[1].pos ) ) )
   3467         {
   3468           /* don't move if stem would (almost) disappear otherwise; */
   3469           /* the ad-hoc value 16 corresponds to 1/4px               */
   3470           if ( edge->link && FT_ABS( edge->link->pos - edge[-1].pos ) > 16 )
   3471           {
   3472 #ifdef FT_DEBUG_LEVEL_TRACE
   3473             FT_TRACE5(( "  BOUND: edge %d (pos=%.2f) moved to %.2f\n",
   3474                         edge - edges,
   3475                         edge->pos / 64.0,
   3476                         edge[1].pos / 64.0 ));
   3477 
   3478             num_actions++;
   3479 #endif
   3480 
   3481             edge->pos = edge[1].pos;
   3482           }
   3483         }
   3484       }
   3485     }
   3486 
   3487 #ifdef FT_DEBUG_LEVEL_TRACE
   3488     if ( !num_actions )
   3489       FT_TRACE5(( "  (none)\n" ));
   3490     FT_TRACE5(( "\n" ));
   3491 #endif
   3492   }
   3493 
   3494 
   3495   /* Apply the complete hinting algorithm to a latin glyph. */
   3496 
   3497   static FT_Error
   3498   af_latin_hints_apply( FT_UInt          glyph_index,
   3499                         AF_GlyphHints    hints,
   3500                         FT_Outline*      outline,
   3501                         AF_LatinMetrics  metrics )
   3502   {
   3503     FT_Error  error;
   3504     int       dim;
   3505 
   3506     AF_LatinAxis  axis;
   3507 
   3508 
   3509     error = af_glyph_hints_reload( hints, outline );
   3510     if ( error )
   3511       goto Exit;
   3512 
   3513     /* analyze glyph outline */
   3514     if ( AF_HINTS_DO_HORIZONTAL( hints ) )
   3515     {
   3516       axis  = &metrics->axis[AF_DIMENSION_HORZ];
   3517       error = af_latin_hints_detect_features( hints,
   3518                                               axis->width_count,
   3519                                               axis->widths,
   3520                                               AF_DIMENSION_HORZ );
   3521       if ( error )
   3522         goto Exit;
   3523     }
   3524 
   3525     if ( AF_HINTS_DO_VERTICAL( hints ) )
   3526     {
   3527       axis  = &metrics->axis[AF_DIMENSION_VERT];
   3528       error = af_latin_hints_detect_features( hints,
   3529                                               axis->width_count,
   3530                                               axis->widths,
   3531                                               AF_DIMENSION_VERT );
   3532       if ( error )
   3533         goto Exit;
   3534 
   3535       /* apply blue zones to base characters only */
   3536       if ( !( metrics->root.globals->glyph_styles[glyph_index] & AF_NONBASE ) )
   3537         af_latin_hints_compute_blue_edges( hints, metrics );
   3538     }
   3539 
   3540     /* grid-fit the outline */
   3541     for ( dim = 0; dim < AF_DIMENSION_MAX; dim++ )
   3542     {
   3543 #ifdef AF_CONFIG_OPTION_USE_WARPER
   3544       if ( dim == AF_DIMENSION_HORZ                                  &&
   3545            metrics->root.scaler.render_mode == FT_RENDER_MODE_NORMAL &&
   3546            AF_HINTS_DO_WARP( hints )                                 )
   3547       {
   3548         AF_WarperRec  warper;
   3549         FT_Fixed      scale;
   3550         FT_Pos        delta;
   3551 
   3552 
   3553         af_warper_compute( &warper, hints, (AF_Dimension)dim,
   3554                            &scale, &delta );
   3555         af_glyph_hints_scale_dim( hints, (AF_Dimension)dim,
   3556                                   scale, delta );
   3557         continue;
   3558       }
   3559 #endif /* AF_CONFIG_OPTION_USE_WARPER */
   3560 
   3561       if ( ( dim == AF_DIMENSION_HORZ && AF_HINTS_DO_HORIZONTAL( hints ) ) ||
   3562            ( dim == AF_DIMENSION_VERT && AF_HINTS_DO_VERTICAL( hints ) )   )
   3563       {
   3564         af_latin_hint_edges( hints, (AF_Dimension)dim );
   3565         af_glyph_hints_align_edge_points( hints, (AF_Dimension)dim );
   3566         af_glyph_hints_align_strong_points( hints, (AF_Dimension)dim );
   3567         af_glyph_hints_align_weak_points( hints, (AF_Dimension)dim );
   3568       }
   3569     }
   3570 
   3571     af_glyph_hints_save( hints, outline );
   3572 
   3573   Exit:
   3574     return error;
   3575   }
   3576 
   3577 
   3578   /*************************************************************************/
   3579   /*************************************************************************/
   3580   /*****                                                               *****/
   3581   /*****              L A T I N   S C R I P T   C L A S S              *****/
   3582   /*****                                                               *****/
   3583   /*************************************************************************/
   3584   /*************************************************************************/
   3585 
   3586 
   3587   AF_DEFINE_WRITING_SYSTEM_CLASS(
   3588     af_latin_writing_system_class,
   3589 
   3590     AF_WRITING_SYSTEM_LATIN,
   3591 
   3592     sizeof ( AF_LatinMetricsRec ),
   3593 
   3594     (AF_WritingSystem_InitMetricsFunc) af_latin_metrics_init,        /* style_metrics_init    */
   3595     (AF_WritingSystem_ScaleMetricsFunc)af_latin_metrics_scale,       /* style_metrics_scale   */
   3596     (AF_WritingSystem_DoneMetricsFunc) NULL,                         /* style_metrics_done    */
   3597     (AF_WritingSystem_GetStdWidthsFunc)af_latin_get_standard_widths, /* style_metrics_getstdw */
   3598 
   3599     (AF_WritingSystem_InitHintsFunc)   af_latin_hints_init,          /* style_hints_init      */
   3600     (AF_WritingSystem_ApplyHintsFunc)  af_latin_hints_apply          /* style_hints_apply     */
   3601   )
   3602 
   3603 
   3604 /* END */
   3605