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      1 /***************************************************************************/
      2 /*                                                                         */
      3 /*  pshalgo.c                                                              */
      4 /*                                                                         */
      5 /*    PostScript hinting algorithm (body).                                 */
      6 /*                                                                         */
      7 /*  Copyright 2001-2015 by                                                 */
      8 /*  David Turner, Robert Wilhelm, and Werner Lemberg.                      */
      9 /*                                                                         */
     10 /*  This file is part of the FreeType project, and may only be used        */
     11 /*  modified and distributed under the terms of the FreeType project       */
     12 /*  license, LICENSE.TXT.  By continuing to use, modify, or distribute     */
     13 /*  this file you indicate that you have read the license and              */
     14 /*  understand and accept it fully.                                        */
     15 /*                                                                         */
     16 /***************************************************************************/
     17 
     18 
     19 #include <ft2build.h>
     20 #include FT_INTERNAL_OBJECTS_H
     21 #include FT_INTERNAL_DEBUG_H
     22 #include FT_INTERNAL_CALC_H
     23 #include "pshalgo.h"
     24 
     25 #include "pshnterr.h"
     26 
     27 
     28 #undef  FT_COMPONENT
     29 #define FT_COMPONENT  trace_pshalgo2
     30 
     31 
     32 #ifdef DEBUG_HINTER
     33   PSH_Hint_Table  ps_debug_hint_table = NULL;
     34   PSH_HintFunc    ps_debug_hint_func  = NULL;
     35   PSH_Glyph       ps_debug_glyph      = NULL;
     36 #endif
     37 
     38 
     39 #define  COMPUTE_INFLEXS  /* compute inflection points to optimize `S' */
     40                           /* and similar glyphs                        */
     41 
     42 
     43   /*************************************************************************/
     44   /*************************************************************************/
     45   /*****                                                               *****/
     46   /*****                  BASIC HINTS RECORDINGS                       *****/
     47   /*****                                                               *****/
     48   /*************************************************************************/
     49   /*************************************************************************/
     50 
     51   /* return true if two stem hints overlap */
     52   static FT_Int
     53   psh_hint_overlap( PSH_Hint  hint1,
     54                     PSH_Hint  hint2 )
     55   {
     56     return hint1->org_pos + hint1->org_len >= hint2->org_pos &&
     57            hint2->org_pos + hint2->org_len >= hint1->org_pos;
     58   }
     59 
     60 
     61   /* destroy hints table */
     62   static void
     63   psh_hint_table_done( PSH_Hint_Table  table,
     64                        FT_Memory       memory )
     65   {
     66     FT_FREE( table->zones );
     67     table->num_zones = 0;
     68     table->zone      = NULL;
     69 
     70     FT_FREE( table->sort );
     71     FT_FREE( table->hints );
     72     table->num_hints   = 0;
     73     table->max_hints   = 0;
     74     table->sort_global = NULL;
     75   }
     76 
     77 
     78   /* deactivate all hints in a table */
     79   static void
     80   psh_hint_table_deactivate( PSH_Hint_Table  table )
     81   {
     82     FT_UInt   count = table->max_hints;
     83     PSH_Hint  hint  = table->hints;
     84 
     85 
     86     for ( ; count > 0; count--, hint++ )
     87     {
     88       psh_hint_deactivate( hint );
     89       hint->order = -1;
     90     }
     91   }
     92 
     93 
     94   /* internal function to record a new hint */
     95   static void
     96   psh_hint_table_record( PSH_Hint_Table  table,
     97                          FT_UInt         idx )
     98   {
     99     PSH_Hint  hint = table->hints + idx;
    100 
    101 
    102     if ( idx >= table->max_hints )
    103     {
    104       FT_TRACE0(( "psh_hint_table_record: invalid hint index %d\n", idx ));
    105       return;
    106     }
    107 
    108     /* ignore active hints */
    109     if ( psh_hint_is_active( hint ) )
    110       return;
    111 
    112     psh_hint_activate( hint );
    113 
    114     /* now scan the current active hint set to check */
    115     /* whether `hint' overlaps with another hint     */
    116     {
    117       PSH_Hint*  sorted = table->sort_global;
    118       FT_UInt    count  = table->num_hints;
    119       PSH_Hint   hint2;
    120 
    121 
    122       hint->parent = NULL;
    123       for ( ; count > 0; count--, sorted++ )
    124       {
    125         hint2 = sorted[0];
    126 
    127         if ( psh_hint_overlap( hint, hint2 ) )
    128         {
    129           hint->parent = hint2;
    130           break;
    131         }
    132       }
    133     }
    134 
    135     if ( table->num_hints < table->max_hints )
    136       table->sort_global[table->num_hints++] = hint;
    137     else
    138       FT_TRACE0(( "psh_hint_table_record: too many sorted hints!  BUG!\n" ));
    139   }
    140 
    141 
    142   static void
    143   psh_hint_table_record_mask( PSH_Hint_Table  table,
    144                               PS_Mask         hint_mask )
    145   {
    146     FT_Int    mask = 0, val = 0;
    147     FT_Byte*  cursor = hint_mask->bytes;
    148     FT_UInt   idx, limit;
    149 
    150 
    151     limit = hint_mask->num_bits;
    152 
    153     for ( idx = 0; idx < limit; idx++ )
    154     {
    155       if ( mask == 0 )
    156       {
    157         val  = *cursor++;
    158         mask = 0x80;
    159       }
    160 
    161       if ( val & mask )
    162         psh_hint_table_record( table, idx );
    163 
    164       mask >>= 1;
    165     }
    166   }
    167 
    168 
    169   /* create hints table */
    170   static FT_Error
    171   psh_hint_table_init( PSH_Hint_Table  table,
    172                        PS_Hint_Table   hints,
    173                        PS_Mask_Table   hint_masks,
    174                        PS_Mask_Table   counter_masks,
    175                        FT_Memory       memory )
    176   {
    177     FT_UInt   count;
    178     FT_Error  error;
    179 
    180     FT_UNUSED( counter_masks );
    181 
    182 
    183     count = hints->num_hints;
    184 
    185     /* allocate our tables */
    186     if ( FT_NEW_ARRAY( table->sort,  2 * count     ) ||
    187          FT_NEW_ARRAY( table->hints,     count     ) ||
    188          FT_NEW_ARRAY( table->zones, 2 * count + 1 ) )
    189       goto Exit;
    190 
    191     table->max_hints   = count;
    192     table->sort_global = table->sort + count;
    193     table->num_hints   = 0;
    194     table->num_zones   = 0;
    195     table->zone        = NULL;
    196 
    197     /* initialize the `table->hints' array */
    198     {
    199       PSH_Hint  write = table->hints;
    200       PS_Hint   read  = hints->hints;
    201 
    202 
    203       for ( ; count > 0; count--, write++, read++ )
    204       {
    205         write->org_pos = read->pos;
    206         write->org_len = read->len;
    207         write->flags   = read->flags;
    208       }
    209     }
    210 
    211     /* we now need to determine the initial `parent' stems; first  */
    212     /* activate the hints that are given by the initial hint masks */
    213     if ( hint_masks )
    214     {
    215       PS_Mask  mask = hint_masks->masks;
    216 
    217 
    218       count             = hint_masks->num_masks;
    219       table->hint_masks = hint_masks;
    220 
    221       for ( ; count > 0; count--, mask++ )
    222         psh_hint_table_record_mask( table, mask );
    223     }
    224 
    225     /* finally, do a linear parse in case some hints were left alone */
    226     if ( table->num_hints != table->max_hints )
    227     {
    228       FT_UInt  idx;
    229 
    230 
    231       FT_TRACE0(( "psh_hint_table_init: missing/incorrect hint masks\n" ));
    232 
    233       count = table->max_hints;
    234       for ( idx = 0; idx < count; idx++ )
    235         psh_hint_table_record( table, idx );
    236     }
    237 
    238   Exit:
    239     return error;
    240   }
    241 
    242 
    243   static void
    244   psh_hint_table_activate_mask( PSH_Hint_Table  table,
    245                                 PS_Mask         hint_mask )
    246   {
    247     FT_Int    mask = 0, val = 0;
    248     FT_Byte*  cursor = hint_mask->bytes;
    249     FT_UInt   idx, limit, count;
    250 
    251 
    252     limit = hint_mask->num_bits;
    253     count = 0;
    254 
    255     psh_hint_table_deactivate( table );
    256 
    257     for ( idx = 0; idx < limit; idx++ )
    258     {
    259       if ( mask == 0 )
    260       {
    261         val  = *cursor++;
    262         mask = 0x80;
    263       }
    264 
    265       if ( val & mask )
    266       {
    267         PSH_Hint  hint = &table->hints[idx];
    268 
    269 
    270         if ( !psh_hint_is_active( hint ) )
    271         {
    272           FT_UInt     count2;
    273 
    274 #if 0
    275           PSH_Hint*  sort = table->sort;
    276           PSH_Hint   hint2;
    277 
    278 
    279           for ( count2 = count; count2 > 0; count2--, sort++ )
    280           {
    281             hint2 = sort[0];
    282             if ( psh_hint_overlap( hint, hint2 ) )
    283               FT_TRACE0(( "psh_hint_table_activate_mask:"
    284                           " found overlapping hints\n" ))
    285           }
    286 #else
    287           count2 = 0;
    288 #endif
    289 
    290           if ( count2 == 0 )
    291           {
    292             psh_hint_activate( hint );
    293             if ( count < table->max_hints )
    294               table->sort[count++] = hint;
    295             else
    296               FT_TRACE0(( "psh_hint_tableactivate_mask:"
    297                           " too many active hints\n" ));
    298           }
    299         }
    300       }
    301 
    302       mask >>= 1;
    303     }
    304     table->num_hints = count;
    305 
    306     /* now, sort the hints; they are guaranteed to not overlap */
    307     /* so we can compare their "org_pos" field directly        */
    308     {
    309       FT_Int     i1, i2;
    310       PSH_Hint   hint1, hint2;
    311       PSH_Hint*  sort = table->sort;
    312 
    313 
    314       /* a simple bubble sort will do, since in 99% of cases, the hints */
    315       /* will be already sorted -- and the sort will be linear          */
    316       for ( i1 = 1; i1 < (FT_Int)count; i1++ )
    317       {
    318         hint1 = sort[i1];
    319         for ( i2 = i1 - 1; i2 >= 0; i2-- )
    320         {
    321           hint2 = sort[i2];
    322 
    323           if ( hint2->org_pos < hint1->org_pos )
    324             break;
    325 
    326           sort[i2 + 1] = hint2;
    327           sort[i2]     = hint1;
    328         }
    329       }
    330     }
    331   }
    332 
    333 
    334   /*************************************************************************/
    335   /*************************************************************************/
    336   /*****                                                               *****/
    337   /*****               HINTS GRID-FITTING AND OPTIMIZATION             *****/
    338   /*****                                                               *****/
    339   /*************************************************************************/
    340   /*************************************************************************/
    341 
    342 #if 1
    343   static FT_Pos
    344   psh_dimension_quantize_len( PSH_Dimension  dim,
    345                               FT_Pos         len,
    346                               FT_Bool        do_snapping )
    347   {
    348     if ( len <= 64 )
    349       len = 64;
    350     else
    351     {
    352       FT_Pos  delta = len - dim->stdw.widths[0].cur;
    353 
    354 
    355       if ( delta < 0 )
    356         delta = -delta;
    357 
    358       if ( delta < 40 )
    359       {
    360         len = dim->stdw.widths[0].cur;
    361         if ( len < 48 )
    362           len = 48;
    363       }
    364 
    365       if ( len < 3 * 64 )
    366       {
    367         delta = ( len & 63 );
    368         len  &= -64;
    369 
    370         if ( delta < 10 )
    371           len += delta;
    372 
    373         else if ( delta < 32 )
    374           len += 10;
    375 
    376         else if ( delta < 54 )
    377           len += 54;
    378 
    379         else
    380           len += delta;
    381       }
    382       else
    383         len = FT_PIX_ROUND( len );
    384     }
    385 
    386     if ( do_snapping )
    387       len = FT_PIX_ROUND( len );
    388 
    389     return  len;
    390   }
    391 #endif /* 0 */
    392 
    393 
    394 #ifdef DEBUG_HINTER
    395 
    396   static void
    397   ps_simple_scale( PSH_Hint_Table  table,
    398                    FT_Fixed        scale,
    399                    FT_Fixed        delta,
    400                    FT_Int          dimension )
    401   {
    402     FT_UInt  count;
    403 
    404 
    405     for ( count = 0; count < table->max_hints; count++ )
    406     {
    407       PSH_Hint  hint = table->hints + count;
    408 
    409 
    410       hint->cur_pos = FT_MulFix( hint->org_pos, scale ) + delta;
    411       hint->cur_len = FT_MulFix( hint->org_len, scale );
    412 
    413       if ( ps_debug_hint_func )
    414         ps_debug_hint_func( hint, dimension );
    415     }
    416   }
    417 
    418 #endif /* DEBUG_HINTER */
    419 
    420 
    421   static FT_Fixed
    422   psh_hint_snap_stem_side_delta( FT_Fixed  pos,
    423                                  FT_Fixed  len )
    424   {
    425     FT_Fixed  delta1 = FT_PIX_ROUND( pos ) - pos;
    426     FT_Fixed  delta2 = FT_PIX_ROUND( pos + len ) - pos - len;
    427 
    428 
    429     if ( FT_ABS( delta1 ) <= FT_ABS( delta2 ) )
    430       return delta1;
    431     else
    432       return delta2;
    433   }
    434 
    435 
    436   static void
    437   psh_hint_align( PSH_Hint     hint,
    438                   PSH_Globals  globals,
    439                   FT_Int       dimension,
    440                   PSH_Glyph    glyph )
    441   {
    442     PSH_Dimension  dim   = &globals->dimension[dimension];
    443     FT_Fixed       scale = dim->scale_mult;
    444     FT_Fixed       delta = dim->scale_delta;
    445 
    446 
    447     if ( !psh_hint_is_fitted( hint ) )
    448     {
    449       FT_Pos  pos = FT_MulFix( hint->org_pos, scale ) + delta;
    450       FT_Pos  len = FT_MulFix( hint->org_len, scale );
    451 
    452       FT_Int            do_snapping;
    453       FT_Pos            fit_len;
    454       PSH_AlignmentRec  align;
    455 
    456 
    457       /* ignore stem alignments when requested through the hint flags */
    458       if ( ( dimension == 0 && !glyph->do_horz_hints ) ||
    459            ( dimension == 1 && !glyph->do_vert_hints ) )
    460       {
    461         hint->cur_pos = pos;
    462         hint->cur_len = len;
    463 
    464         psh_hint_set_fitted( hint );
    465         return;
    466       }
    467 
    468       /* perform stem snapping when requested - this is necessary
    469        * for monochrome and LCD hinting modes only
    470        */
    471       do_snapping = ( dimension == 0 && glyph->do_horz_snapping ) ||
    472                     ( dimension == 1 && glyph->do_vert_snapping );
    473 
    474       hint->cur_len = fit_len = len;
    475 
    476       /* check blue zones for horizontal stems */
    477       align.align     = PSH_BLUE_ALIGN_NONE;
    478       align.align_bot = align.align_top = 0;
    479 
    480       if ( dimension == 1 )
    481         psh_blues_snap_stem( &globals->blues,
    482                              hint->org_pos + hint->org_len,
    483                              hint->org_pos,
    484                              &align );
    485 
    486       switch ( align.align )
    487       {
    488       case PSH_BLUE_ALIGN_TOP:
    489         /* the top of the stem is aligned against a blue zone */
    490         hint->cur_pos = align.align_top - fit_len;
    491         break;
    492 
    493       case PSH_BLUE_ALIGN_BOT:
    494         /* the bottom of the stem is aligned against a blue zone */
    495         hint->cur_pos = align.align_bot;
    496         break;
    497 
    498       case PSH_BLUE_ALIGN_TOP | PSH_BLUE_ALIGN_BOT:
    499         /* both edges of the stem are aligned against blue zones */
    500         hint->cur_pos = align.align_bot;
    501         hint->cur_len = align.align_top - align.align_bot;
    502         break;
    503 
    504       default:
    505         {
    506           PSH_Hint  parent = hint->parent;
    507 
    508 
    509           if ( parent )
    510           {
    511             FT_Pos  par_org_center, par_cur_center;
    512             FT_Pos  cur_org_center, cur_delta;
    513 
    514 
    515             /* ensure that parent is already fitted */
    516             if ( !psh_hint_is_fitted( parent ) )
    517               psh_hint_align( parent, globals, dimension, glyph );
    518 
    519             /* keep original relation between hints, this is, use the */
    520             /* scaled distance between the centers of the hints to    */
    521             /* compute the new position                               */
    522             par_org_center = parent->org_pos + ( parent->org_len >> 1 );
    523             par_cur_center = parent->cur_pos + ( parent->cur_len >> 1 );
    524             cur_org_center = hint->org_pos   + ( hint->org_len   >> 1 );
    525 
    526             cur_delta = FT_MulFix( cur_org_center - par_org_center, scale );
    527             pos       = par_cur_center + cur_delta - ( len >> 1 );
    528           }
    529 
    530           hint->cur_pos = pos;
    531           hint->cur_len = fit_len;
    532 
    533           /* Stem adjustment tries to snap stem widths to standard
    534            * ones.  This is important to prevent unpleasant rounding
    535            * artefacts.
    536            */
    537           if ( glyph->do_stem_adjust )
    538           {
    539             if ( len <= 64 )
    540             {
    541               /* the stem is less than one pixel; we will center it
    542                * around the nearest pixel center
    543                */
    544               if ( len >= 32 )
    545               {
    546                 /* This is a special case where we also widen the stem
    547                  * and align it to the pixel grid.
    548                  *
    549                  *   stem_center          = pos + (len/2)
    550                  *   nearest_pixel_center = FT_ROUND(stem_center-32)+32
    551                  *   new_pos              = nearest_pixel_center-32
    552                  *                        = FT_ROUND(stem_center-32)
    553                  *                        = FT_FLOOR(stem_center-32+32)
    554                  *                        = FT_FLOOR(stem_center)
    555                  *   new_len              = 64
    556                  */
    557                 pos = FT_PIX_FLOOR( pos + ( len >> 1 ) );
    558                 len = 64;
    559               }
    560               else if ( len > 0 )
    561               {
    562                 /* This is a very small stem; we simply align it to the
    563                  * pixel grid, trying to find the minimum displacement.
    564                  *
    565                  * left               = pos
    566                  * right              = pos + len
    567                  * left_nearest_edge  = ROUND(pos)
    568                  * right_nearest_edge = ROUND(right)
    569                  *
    570                  * if ( ABS(left_nearest_edge - left) <=
    571                  *      ABS(right_nearest_edge - right) )
    572                  *    new_pos = left
    573                  * else
    574                  *    new_pos = right
    575                  */
    576                 FT_Pos  left_nearest  = FT_PIX_ROUND( pos );
    577                 FT_Pos  right_nearest = FT_PIX_ROUND( pos + len );
    578                 FT_Pos  left_disp     = left_nearest - pos;
    579                 FT_Pos  right_disp    = right_nearest - ( pos + len );
    580 
    581 
    582                 if ( left_disp < 0 )
    583                   left_disp = -left_disp;
    584                 if ( right_disp < 0 )
    585                   right_disp = -right_disp;
    586                 if ( left_disp <= right_disp )
    587                   pos = left_nearest;
    588                 else
    589                   pos = right_nearest;
    590               }
    591               else
    592               {
    593                 /* this is a ghost stem; we simply round it */
    594                 pos = FT_PIX_ROUND( pos );
    595               }
    596             }
    597             else
    598             {
    599               len = psh_dimension_quantize_len( dim, len, 0 );
    600             }
    601           }
    602 
    603           /* now that we have a good hinted stem width, try to position */
    604           /* the stem along a pixel grid integer coordinate             */
    605           hint->cur_pos = pos + psh_hint_snap_stem_side_delta( pos, len );
    606           hint->cur_len = len;
    607         }
    608       }
    609 
    610       if ( do_snapping )
    611       {
    612         pos = hint->cur_pos;
    613         len = hint->cur_len;
    614 
    615         if ( len < 64 )
    616           len = 64;
    617         else
    618           len = FT_PIX_ROUND( len );
    619 
    620         switch ( align.align )
    621         {
    622           case PSH_BLUE_ALIGN_TOP:
    623             hint->cur_pos = align.align_top - len;
    624             hint->cur_len = len;
    625             break;
    626 
    627           case PSH_BLUE_ALIGN_BOT:
    628             hint->cur_len = len;
    629             break;
    630 
    631           case PSH_BLUE_ALIGN_BOT | PSH_BLUE_ALIGN_TOP:
    632             /* don't touch */
    633             break;
    634 
    635 
    636           default:
    637             hint->cur_len = len;
    638             if ( len & 64 )
    639               pos = FT_PIX_FLOOR( pos + ( len >> 1 ) ) + 32;
    640             else
    641               pos = FT_PIX_ROUND( pos + ( len >> 1 ) );
    642 
    643             hint->cur_pos = pos - ( len >> 1 );
    644             hint->cur_len = len;
    645         }
    646       }
    647 
    648       psh_hint_set_fitted( hint );
    649 
    650 #ifdef DEBUG_HINTER
    651       if ( ps_debug_hint_func )
    652         ps_debug_hint_func( hint, dimension );
    653 #endif
    654     }
    655   }
    656 
    657 
    658 #if 0  /* not used for now, experimental */
    659 
    660  /*
    661   *  A variant to perform "light" hinting (i.e. FT_RENDER_MODE_LIGHT)
    662   *  of stems
    663   */
    664   static void
    665   psh_hint_align_light( PSH_Hint     hint,
    666                         PSH_Globals  globals,
    667                         FT_Int       dimension,
    668                         PSH_Glyph    glyph )
    669   {
    670     PSH_Dimension  dim   = &globals->dimension[dimension];
    671     FT_Fixed       scale = dim->scale_mult;
    672     FT_Fixed       delta = dim->scale_delta;
    673 
    674 
    675     if ( !psh_hint_is_fitted( hint ) )
    676     {
    677       FT_Pos  pos = FT_MulFix( hint->org_pos, scale ) + delta;
    678       FT_Pos  len = FT_MulFix( hint->org_len, scale );
    679 
    680       FT_Pos  fit_len;
    681 
    682       PSH_AlignmentRec  align;
    683 
    684 
    685       /* ignore stem alignments when requested through the hint flags */
    686       if ( ( dimension == 0 && !glyph->do_horz_hints ) ||
    687            ( dimension == 1 && !glyph->do_vert_hints ) )
    688       {
    689         hint->cur_pos = pos;
    690         hint->cur_len = len;
    691 
    692         psh_hint_set_fitted( hint );
    693         return;
    694       }
    695 
    696       fit_len = len;
    697 
    698       hint->cur_len = fit_len;
    699 
    700       /* check blue zones for horizontal stems */
    701       align.align = PSH_BLUE_ALIGN_NONE;
    702       align.align_bot = align.align_top = 0;
    703 
    704       if ( dimension == 1 )
    705         psh_blues_snap_stem( &globals->blues,
    706                              hint->org_pos + hint->org_len,
    707                              hint->org_pos,
    708                              &align );
    709 
    710       switch ( align.align )
    711       {
    712       case PSH_BLUE_ALIGN_TOP:
    713         /* the top of the stem is aligned against a blue zone */
    714         hint->cur_pos = align.align_top - fit_len;
    715         break;
    716 
    717       case PSH_BLUE_ALIGN_BOT:
    718         /* the bottom of the stem is aligned against a blue zone */
    719         hint->cur_pos = align.align_bot;
    720         break;
    721 
    722       case PSH_BLUE_ALIGN_TOP | PSH_BLUE_ALIGN_BOT:
    723         /* both edges of the stem are aligned against blue zones */
    724         hint->cur_pos = align.align_bot;
    725         hint->cur_len = align.align_top - align.align_bot;
    726         break;
    727 
    728       default:
    729         {
    730           PSH_Hint  parent = hint->parent;
    731 
    732 
    733           if ( parent )
    734           {
    735             FT_Pos  par_org_center, par_cur_center;
    736             FT_Pos  cur_org_center, cur_delta;
    737 
    738 
    739             /* ensure that parent is already fitted */
    740             if ( !psh_hint_is_fitted( parent ) )
    741               psh_hint_align_light( parent, globals, dimension, glyph );
    742 
    743             par_org_center = parent->org_pos + ( parent->org_len / 2 );
    744             par_cur_center = parent->cur_pos + ( parent->cur_len / 2 );
    745             cur_org_center = hint->org_pos   + ( hint->org_len   / 2 );
    746 
    747             cur_delta = FT_MulFix( cur_org_center - par_org_center, scale );
    748             pos       = par_cur_center + cur_delta - ( len >> 1 );
    749           }
    750 
    751           /* Stems less than one pixel wide are easy -- we want to
    752            * make them as dark as possible, so they must fall within
    753            * one pixel.  If the stem is split between two pixels
    754            * then snap the edge that is nearer to the pixel boundary
    755            * to the pixel boundary.
    756            */
    757           if ( len <= 64 )
    758           {
    759             if ( ( pos + len + 63 ) / 64  != pos / 64 + 1 )
    760               pos += psh_hint_snap_stem_side_delta ( pos, len );
    761           }
    762 
    763           /* Position stems other to minimize the amount of mid-grays.
    764            * There are, in general, two positions that do this,
    765            * illustrated as A) and B) below.
    766            *
    767            *   +                   +                   +                   +
    768            *
    769            * A)             |--------------------------------|
    770            * B)   |--------------------------------|
    771            * C)       |--------------------------------|
    772            *
    773            * Position A) (split the excess stem equally) should be better
    774            * for stems of width N + f where f < 0.5.
    775            *
    776            * Position B) (split the deficiency equally) should be better
    777            * for stems of width N + f where f > 0.5.
    778            *
    779            * It turns out though that minimizing the total number of lit
    780            * pixels is also important, so position C), with one edge
    781            * aligned with a pixel boundary is actually preferable
    782            * to A).  There are also more possibile positions for C) than
    783            * for A) or B), so it involves less distortion of the overall
    784            * character shape.
    785            */
    786           else /* len > 64 */
    787           {
    788             FT_Fixed  frac_len = len & 63;
    789             FT_Fixed  center = pos + ( len >> 1 );
    790             FT_Fixed  delta_a, delta_b;
    791 
    792 
    793             if ( ( len / 64 ) & 1 )
    794             {
    795               delta_a = FT_PIX_FLOOR( center ) + 32 - center;
    796               delta_b = FT_PIX_ROUND( center ) - center;
    797             }
    798             else
    799             {
    800               delta_a = FT_PIX_ROUND( center ) - center;
    801               delta_b = FT_PIX_FLOOR( center ) + 32 - center;
    802             }
    803 
    804             /* We choose between B) and C) above based on the amount
    805              * of fractinal stem width; for small amounts, choose
    806              * C) always, for large amounts, B) always, and inbetween,
    807              * pick whichever one involves less stem movement.
    808              */
    809             if ( frac_len < 32 )
    810             {
    811               pos += psh_hint_snap_stem_side_delta ( pos, len );
    812             }
    813             else if ( frac_len < 48 )
    814             {
    815               FT_Fixed  side_delta = psh_hint_snap_stem_side_delta ( pos,
    816                                                                      len );
    817 
    818               if ( FT_ABS( side_delta ) < FT_ABS( delta_b ) )
    819                 pos += side_delta;
    820               else
    821                 pos += delta_b;
    822             }
    823             else
    824             {
    825               pos += delta_b;
    826             }
    827           }
    828 
    829           hint->cur_pos = pos;
    830         }
    831       }  /* switch */
    832 
    833       psh_hint_set_fitted( hint );
    834 
    835 #ifdef DEBUG_HINTER
    836       if ( ps_debug_hint_func )
    837         ps_debug_hint_func( hint, dimension );
    838 #endif
    839     }
    840   }
    841 
    842 #endif /* 0 */
    843 
    844 
    845   static void
    846   psh_hint_table_align_hints( PSH_Hint_Table  table,
    847                               PSH_Globals     globals,
    848                               FT_Int          dimension,
    849                               PSH_Glyph       glyph )
    850   {
    851     PSH_Hint       hint;
    852     FT_UInt        count;
    853 
    854 #ifdef DEBUG_HINTER
    855 
    856     PSH_Dimension  dim   = &globals->dimension[dimension];
    857     FT_Fixed       scale = dim->scale_mult;
    858     FT_Fixed       delta = dim->scale_delta;
    859 
    860 
    861     if ( ps_debug_no_vert_hints && dimension == 0 )
    862     {
    863       ps_simple_scale( table, scale, delta, dimension );
    864       return;
    865     }
    866 
    867     if ( ps_debug_no_horz_hints && dimension == 1 )
    868     {
    869       ps_simple_scale( table, scale, delta, dimension );
    870       return;
    871     }
    872 
    873 #endif /* DEBUG_HINTER*/
    874 
    875     hint  = table->hints;
    876     count = table->max_hints;
    877 
    878     for ( ; count > 0; count--, hint++ )
    879       psh_hint_align( hint, globals, dimension, glyph );
    880   }
    881 
    882 
    883   /*************************************************************************/
    884   /*************************************************************************/
    885   /*****                                                               *****/
    886   /*****                POINTS INTERPOLATION ROUTINES                  *****/
    887   /*****                                                               *****/
    888   /*************************************************************************/
    889   /*************************************************************************/
    890 
    891 #define xxDEBUG_ZONES
    892 
    893 
    894 #ifdef DEBUG_ZONES
    895 
    896 #include FT_CONFIG_STANDARD_LIBRARY_H
    897 
    898   static void
    899   psh_print_zone( PSH_Zone  zone )
    900   {
    901     printf( "zone [scale,delta,min,max] = [%.3f,%.3f,%d,%d]\n",
    902              zone->scale / 65536.0,
    903              zone->delta / 64.0,
    904              zone->min,
    905              zone->max );
    906   }
    907 
    908 #endif /* DEBUG_ZONES */
    909 
    910 
    911   /*************************************************************************/
    912   /*************************************************************************/
    913   /*****                                                               *****/
    914   /*****                    HINTER GLYPH MANAGEMENT                    *****/
    915   /*****                                                               *****/
    916   /*************************************************************************/
    917   /*************************************************************************/
    918 
    919 #if 1
    920 
    921 #define  psh_corner_is_flat      ft_corner_is_flat
    922 #define  psh_corner_orientation  ft_corner_orientation
    923 
    924 #else
    925 
    926   FT_LOCAL_DEF( FT_Int )
    927   psh_corner_is_flat( FT_Pos  x_in,
    928                       FT_Pos  y_in,
    929                       FT_Pos  x_out,
    930                       FT_Pos  y_out )
    931   {
    932     FT_Pos  ax = x_in;
    933     FT_Pos  ay = y_in;
    934 
    935     FT_Pos  d_in, d_out, d_corner;
    936 
    937 
    938     if ( ax < 0 )
    939       ax = -ax;
    940     if ( ay < 0 )
    941       ay = -ay;
    942     d_in = ax + ay;
    943 
    944     ax = x_out;
    945     if ( ax < 0 )
    946       ax = -ax;
    947     ay = y_out;
    948     if ( ay < 0 )
    949       ay = -ay;
    950     d_out = ax + ay;
    951 
    952     ax = x_out + x_in;
    953     if ( ax < 0 )
    954       ax = -ax;
    955     ay = y_out + y_in;
    956     if ( ay < 0 )
    957       ay = -ay;
    958     d_corner = ax + ay;
    959 
    960     return ( d_in + d_out - d_corner ) < ( d_corner >> 4 );
    961   }
    962 
    963   static FT_Int
    964   psh_corner_orientation( FT_Pos  in_x,
    965                           FT_Pos  in_y,
    966                           FT_Pos  out_x,
    967                           FT_Pos  out_y )
    968   {
    969     FT_Int  result;
    970 
    971 
    972     /* deal with the trivial cases quickly */
    973     if ( in_y == 0 )
    974     {
    975       if ( in_x >= 0 )
    976         result = out_y;
    977       else
    978         result = -out_y;
    979     }
    980     else if ( in_x == 0 )
    981     {
    982       if ( in_y >= 0 )
    983         result = -out_x;
    984       else
    985         result = out_x;
    986     }
    987     else if ( out_y == 0 )
    988     {
    989       if ( out_x >= 0 )
    990         result = in_y;
    991       else
    992         result = -in_y;
    993     }
    994     else if ( out_x == 0 )
    995     {
    996       if ( out_y >= 0 )
    997         result = -in_x;
    998       else
    999         result =  in_x;
   1000     }
   1001     else /* general case */
   1002     {
   1003       long long  delta = (long long)in_x * out_y - (long long)in_y * out_x;
   1004 
   1005       if ( delta == 0 )
   1006         result = 0;
   1007       else
   1008         result = 1 - 2 * ( delta < 0 );
   1009     }
   1010 
   1011     return result;
   1012   }
   1013 
   1014 #endif /* !1 */
   1015 
   1016 
   1017 #ifdef COMPUTE_INFLEXS
   1018 
   1019   /* compute all inflex points in a given glyph */
   1020   static void
   1021   psh_glyph_compute_inflections( PSH_Glyph  glyph )
   1022   {
   1023     FT_UInt  n;
   1024 
   1025 
   1026     for ( n = 0; n < glyph->num_contours; n++ )
   1027     {
   1028       PSH_Point  first, start, end, before, after;
   1029       FT_Pos     in_x, in_y, out_x, out_y;
   1030       FT_Int     orient_prev, orient_cur;
   1031       FT_Int     finished = 0;
   1032 
   1033 
   1034       /* we need at least 4 points to create an inflection point */
   1035       if ( glyph->contours[n].count < 4 )
   1036         continue;
   1037 
   1038       /* compute first segment in contour */
   1039       first = glyph->contours[n].start;
   1040 
   1041       start = end = first;
   1042       do
   1043       {
   1044         end = end->next;
   1045         if ( end == first )
   1046           goto Skip;
   1047 
   1048         in_x = end->org_u - start->org_u;
   1049         in_y = end->org_v - start->org_v;
   1050 
   1051       } while ( in_x == 0 && in_y == 0 );
   1052 
   1053       /* extend the segment start whenever possible */
   1054       before = start;
   1055       do
   1056       {
   1057         do
   1058         {
   1059           start  = before;
   1060           before = before->prev;
   1061           if ( before == first )
   1062             goto Skip;
   1063 
   1064           out_x = start->org_u - before->org_u;
   1065           out_y = start->org_v - before->org_v;
   1066 
   1067         } while ( out_x == 0 && out_y == 0 );
   1068 
   1069         orient_prev = psh_corner_orientation( in_x, in_y, out_x, out_y );
   1070 
   1071       } while ( orient_prev == 0 );
   1072 
   1073       first = start;
   1074       in_x  = out_x;
   1075       in_y  = out_y;
   1076 
   1077       /* now, process all segments in the contour */
   1078       do
   1079       {
   1080         /* first, extend current segment's end whenever possible */
   1081         after = end;
   1082         do
   1083         {
   1084           do
   1085           {
   1086             end   = after;
   1087             after = after->next;
   1088             if ( after == first )
   1089               finished = 1;
   1090 
   1091             out_x = after->org_u - end->org_u;
   1092             out_y = after->org_v - end->org_v;
   1093 
   1094           } while ( out_x == 0 && out_y == 0 );
   1095 
   1096           orient_cur = psh_corner_orientation( in_x, in_y, out_x, out_y );
   1097 
   1098         } while ( orient_cur == 0 );
   1099 
   1100         if ( ( orient_cur ^ orient_prev ) < 0 )
   1101         {
   1102           do
   1103           {
   1104             psh_point_set_inflex( start );
   1105             start = start->next;
   1106           }
   1107           while ( start != end );
   1108 
   1109           psh_point_set_inflex( start );
   1110         }
   1111 
   1112         start       = end;
   1113         end         = after;
   1114         orient_prev = orient_cur;
   1115         in_x        = out_x;
   1116         in_y        = out_y;
   1117 
   1118       } while ( !finished );
   1119 
   1120     Skip:
   1121       ;
   1122     }
   1123   }
   1124 
   1125 #endif /* COMPUTE_INFLEXS */
   1126 
   1127 
   1128   static void
   1129   psh_glyph_done( PSH_Glyph  glyph )
   1130   {
   1131     FT_Memory  memory = glyph->memory;
   1132 
   1133 
   1134     psh_hint_table_done( &glyph->hint_tables[1], memory );
   1135     psh_hint_table_done( &glyph->hint_tables[0], memory );
   1136 
   1137     FT_FREE( glyph->points );
   1138     FT_FREE( glyph->contours );
   1139 
   1140     glyph->num_points   = 0;
   1141     glyph->num_contours = 0;
   1142 
   1143     glyph->memory = NULL;
   1144   }
   1145 
   1146 
   1147   static int
   1148   psh_compute_dir( FT_Pos  dx,
   1149                    FT_Pos  dy )
   1150   {
   1151     FT_Pos  ax, ay;
   1152     int     result = PSH_DIR_NONE;
   1153 
   1154 
   1155     ax = FT_ABS( dx );
   1156     ay = FT_ABS( dy );
   1157 
   1158     if ( ay * 12 < ax )
   1159     {
   1160       /* |dy| <<< |dx|  means a near-horizontal segment */
   1161       result = ( dx >= 0 ) ? PSH_DIR_RIGHT : PSH_DIR_LEFT;
   1162     }
   1163     else if ( ax * 12 < ay )
   1164     {
   1165       /* |dx| <<< |dy|  means a near-vertical segment */
   1166       result = ( dy >= 0 ) ? PSH_DIR_UP : PSH_DIR_DOWN;
   1167     }
   1168 
   1169     return result;
   1170   }
   1171 
   1172 
   1173   /* load outline point coordinates into hinter glyph */
   1174   static void
   1175   psh_glyph_load_points( PSH_Glyph  glyph,
   1176                          FT_Int     dimension )
   1177   {
   1178     FT_Vector*  vec   = glyph->outline->points;
   1179     PSH_Point   point = glyph->points;
   1180     FT_UInt     count = glyph->num_points;
   1181 
   1182 
   1183     for ( ; count > 0; count--, point++, vec++ )
   1184     {
   1185       point->flags2 = 0;
   1186       point->hint   = NULL;
   1187       if ( dimension == 0 )
   1188       {
   1189         point->org_u = vec->x;
   1190         point->org_v = vec->y;
   1191       }
   1192       else
   1193       {
   1194         point->org_u = vec->y;
   1195         point->org_v = vec->x;
   1196       }
   1197 
   1198 #ifdef DEBUG_HINTER
   1199       point->org_x = vec->x;
   1200       point->org_y = vec->y;
   1201 #endif
   1202 
   1203     }
   1204   }
   1205 
   1206 
   1207   /* save hinted point coordinates back to outline */
   1208   static void
   1209   psh_glyph_save_points( PSH_Glyph  glyph,
   1210                          FT_Int     dimension )
   1211   {
   1212     FT_UInt     n;
   1213     PSH_Point   point = glyph->points;
   1214     FT_Vector*  vec   = glyph->outline->points;
   1215     char*       tags  = glyph->outline->tags;
   1216 
   1217 
   1218     for ( n = 0; n < glyph->num_points; n++ )
   1219     {
   1220       if ( dimension == 0 )
   1221         vec[n].x = point->cur_u;
   1222       else
   1223         vec[n].y = point->cur_u;
   1224 
   1225       if ( psh_point_is_strong( point ) )
   1226         tags[n] |= (char)( ( dimension == 0 ) ? 32 : 64 );
   1227 
   1228 #ifdef DEBUG_HINTER
   1229 
   1230       if ( dimension == 0 )
   1231       {
   1232         point->cur_x   = point->cur_u;
   1233         point->flags_x = point->flags2 | point->flags;
   1234       }
   1235       else
   1236       {
   1237         point->cur_y   = point->cur_u;
   1238         point->flags_y = point->flags2 | point->flags;
   1239       }
   1240 
   1241 #endif
   1242 
   1243       point++;
   1244     }
   1245   }
   1246 
   1247 
   1248   static FT_Error
   1249   psh_glyph_init( PSH_Glyph    glyph,
   1250                   FT_Outline*  outline,
   1251                   PS_Hints     ps_hints,
   1252                   PSH_Globals  globals )
   1253   {
   1254     FT_Error   error;
   1255     FT_Memory  memory;
   1256 
   1257 
   1258     /* clear all fields */
   1259     FT_MEM_ZERO( glyph, sizeof ( *glyph ) );
   1260 
   1261     memory = glyph->memory = globals->memory;
   1262 
   1263     /* allocate and setup points + contours arrays */
   1264     if ( FT_NEW_ARRAY( glyph->points,   outline->n_points   ) ||
   1265          FT_NEW_ARRAY( glyph->contours, outline->n_contours ) )
   1266       goto Exit;
   1267 
   1268     glyph->num_points   = (FT_UInt)outline->n_points;
   1269     glyph->num_contours = (FT_UInt)outline->n_contours;
   1270 
   1271     {
   1272       FT_UInt      first = 0, next, n;
   1273       PSH_Point    points  = glyph->points;
   1274       PSH_Contour  contour = glyph->contours;
   1275 
   1276 
   1277       for ( n = 0; n < glyph->num_contours; n++ )
   1278       {
   1279         FT_UInt    count;
   1280         PSH_Point  point;
   1281 
   1282 
   1283         next  = (FT_UInt)outline->contours[n] + 1;
   1284         count = next - first;
   1285 
   1286         contour->start = points + first;
   1287         contour->count = count;
   1288 
   1289         if ( count > 0 )
   1290         {
   1291           point = points + first;
   1292 
   1293           point->prev    = points + next - 1;
   1294           point->contour = contour;
   1295 
   1296           for ( ; count > 1; count-- )
   1297           {
   1298             point[0].next = point + 1;
   1299             point[1].prev = point;
   1300             point++;
   1301             point->contour = contour;
   1302           }
   1303           point->next = points + first;
   1304         }
   1305 
   1306         contour++;
   1307         first = next;
   1308       }
   1309     }
   1310 
   1311     {
   1312       PSH_Point   points = glyph->points;
   1313       PSH_Point   point  = points;
   1314       FT_Vector*  vec    = outline->points;
   1315       FT_UInt     n;
   1316 
   1317 
   1318       for ( n = 0; n < glyph->num_points; n++, point++ )
   1319       {
   1320         FT_Int  n_prev = (FT_Int)( point->prev - points );
   1321         FT_Int  n_next = (FT_Int)( point->next - points );
   1322         FT_Pos  dxi, dyi, dxo, dyo;
   1323 
   1324 
   1325         if ( !( outline->tags[n] & FT_CURVE_TAG_ON ) )
   1326           point->flags = PSH_POINT_OFF;
   1327 
   1328         dxi = vec[n].x - vec[n_prev].x;
   1329         dyi = vec[n].y - vec[n_prev].y;
   1330 
   1331         point->dir_in = (FT_Char)psh_compute_dir( dxi, dyi );
   1332 
   1333         dxo = vec[n_next].x - vec[n].x;
   1334         dyo = vec[n_next].y - vec[n].y;
   1335 
   1336         point->dir_out = (FT_Char)psh_compute_dir( dxo, dyo );
   1337 
   1338         /* detect smooth points */
   1339         if ( point->flags & PSH_POINT_OFF )
   1340           point->flags |= PSH_POINT_SMOOTH;
   1341 
   1342         else if ( point->dir_in == point->dir_out )
   1343         {
   1344           if ( point->dir_out != PSH_DIR_NONE           ||
   1345                psh_corner_is_flat( dxi, dyi, dxo, dyo ) )
   1346             point->flags |= PSH_POINT_SMOOTH;
   1347         }
   1348       }
   1349     }
   1350 
   1351     glyph->outline = outline;
   1352     glyph->globals = globals;
   1353 
   1354 #ifdef COMPUTE_INFLEXS
   1355     psh_glyph_load_points( glyph, 0 );
   1356     psh_glyph_compute_inflections( glyph );
   1357 #endif /* COMPUTE_INFLEXS */
   1358 
   1359     /* now deal with hints tables */
   1360     error = psh_hint_table_init( &glyph->hint_tables [0],
   1361                                  &ps_hints->dimension[0].hints,
   1362                                  &ps_hints->dimension[0].masks,
   1363                                  &ps_hints->dimension[0].counters,
   1364                                  memory );
   1365     if ( error )
   1366       goto Exit;
   1367 
   1368     error = psh_hint_table_init( &glyph->hint_tables [1],
   1369                                  &ps_hints->dimension[1].hints,
   1370                                  &ps_hints->dimension[1].masks,
   1371                                  &ps_hints->dimension[1].counters,
   1372                                  memory );
   1373     if ( error )
   1374       goto Exit;
   1375 
   1376   Exit:
   1377     return error;
   1378   }
   1379 
   1380 
   1381   /* compute all extrema in a glyph for a given dimension */
   1382   static void
   1383   psh_glyph_compute_extrema( PSH_Glyph  glyph )
   1384   {
   1385     FT_UInt  n;
   1386 
   1387 
   1388     /* first of all, compute all local extrema */
   1389     for ( n = 0; n < glyph->num_contours; n++ )
   1390     {
   1391       PSH_Point  first = glyph->contours[n].start;
   1392       PSH_Point  point, before, after;
   1393 
   1394 
   1395       if ( glyph->contours[n].count == 0 )
   1396         continue;
   1397 
   1398       point  = first;
   1399       before = point;
   1400 
   1401       do
   1402       {
   1403         before = before->prev;
   1404         if ( before == first )
   1405           goto Skip;
   1406 
   1407       } while ( before->org_u == point->org_u );
   1408 
   1409       first = point = before->next;
   1410 
   1411       for (;;)
   1412       {
   1413         after = point;
   1414         do
   1415         {
   1416           after = after->next;
   1417           if ( after == first )
   1418             goto Next;
   1419 
   1420         } while ( after->org_u == point->org_u );
   1421 
   1422         if ( before->org_u < point->org_u )
   1423         {
   1424           if ( after->org_u < point->org_u )
   1425           {
   1426             /* local maximum */
   1427             goto Extremum;
   1428           }
   1429         }
   1430         else /* before->org_u > point->org_u */
   1431         {
   1432           if ( after->org_u > point->org_u )
   1433           {
   1434             /* local minimum */
   1435           Extremum:
   1436             do
   1437             {
   1438               psh_point_set_extremum( point );
   1439               point = point->next;
   1440 
   1441             } while ( point != after );
   1442           }
   1443         }
   1444 
   1445         before = after->prev;
   1446         point  = after;
   1447 
   1448       } /* for  */
   1449 
   1450     Next:
   1451       ;
   1452     }
   1453 
   1454     /* for each extremum, determine its direction along the */
   1455     /* orthogonal axis                                      */
   1456     for ( n = 0; n < glyph->num_points; n++ )
   1457     {
   1458       PSH_Point  point, before, after;
   1459 
   1460 
   1461       point  = &glyph->points[n];
   1462       before = point;
   1463       after  = point;
   1464 
   1465       if ( psh_point_is_extremum( point ) )
   1466       {
   1467         do
   1468         {
   1469           before = before->prev;
   1470           if ( before == point )
   1471             goto Skip;
   1472 
   1473         } while ( before->org_v == point->org_v );
   1474 
   1475         do
   1476         {
   1477           after = after->next;
   1478           if ( after == point )
   1479             goto Skip;
   1480 
   1481         } while ( after->org_v == point->org_v );
   1482       }
   1483 
   1484       if ( before->org_v < point->org_v &&
   1485            after->org_v  > point->org_v )
   1486       {
   1487         psh_point_set_positive( point );
   1488       }
   1489       else if ( before->org_v > point->org_v &&
   1490                 after->org_v  < point->org_v )
   1491       {
   1492         psh_point_set_negative( point );
   1493       }
   1494 
   1495     Skip:
   1496       ;
   1497     }
   1498   }
   1499 
   1500 
   1501   /* major_dir is the direction for points on the bottom/left of the stem; */
   1502   /* Points on the top/right of the stem will have a direction of          */
   1503   /* -major_dir.                                                           */
   1504 
   1505   static void
   1506   psh_hint_table_find_strong_points( PSH_Hint_Table  table,
   1507                                      PSH_Point       point,
   1508                                      FT_UInt         count,
   1509                                      FT_Int          threshold,
   1510                                      FT_Int          major_dir )
   1511   {
   1512     PSH_Hint*  sort      = table->sort;
   1513     FT_UInt    num_hints = table->num_hints;
   1514 
   1515 
   1516     for ( ; count > 0; count--, point++ )
   1517     {
   1518       FT_Int  point_dir = 0;
   1519       FT_Pos  org_u     = point->org_u;
   1520 
   1521 
   1522       if ( psh_point_is_strong( point ) )
   1523         continue;
   1524 
   1525       if ( PSH_DIR_COMPARE( point->dir_in, major_dir ) )
   1526         point_dir = point->dir_in;
   1527 
   1528       else if ( PSH_DIR_COMPARE( point->dir_out, major_dir ) )
   1529         point_dir = point->dir_out;
   1530 
   1531       if ( point_dir )
   1532       {
   1533         if ( point_dir == major_dir )
   1534         {
   1535           FT_UInt  nn;
   1536 
   1537 
   1538           for ( nn = 0; nn < num_hints; nn++ )
   1539           {
   1540             PSH_Hint  hint = sort[nn];
   1541             FT_Pos    d    = org_u - hint->org_pos;
   1542 
   1543 
   1544             if ( d < threshold && -d < threshold )
   1545             {
   1546               psh_point_set_strong( point );
   1547               point->flags2 |= PSH_POINT_EDGE_MIN;
   1548               point->hint    = hint;
   1549               break;
   1550             }
   1551           }
   1552         }
   1553         else if ( point_dir == -major_dir )
   1554         {
   1555           FT_UInt  nn;
   1556 
   1557 
   1558           for ( nn = 0; nn < num_hints; nn++ )
   1559           {
   1560             PSH_Hint  hint = sort[nn];
   1561             FT_Pos    d    = org_u - hint->org_pos - hint->org_len;
   1562 
   1563 
   1564             if ( d < threshold && -d < threshold )
   1565             {
   1566               psh_point_set_strong( point );
   1567               point->flags2 |= PSH_POINT_EDGE_MAX;
   1568               point->hint    = hint;
   1569               break;
   1570             }
   1571           }
   1572         }
   1573       }
   1574 
   1575 #if 1
   1576       else if ( psh_point_is_extremum( point ) )
   1577       {
   1578         /* treat extrema as special cases for stem edge alignment */
   1579         FT_UInt  nn, min_flag, max_flag;
   1580 
   1581 
   1582         if ( major_dir == PSH_DIR_HORIZONTAL )
   1583         {
   1584           min_flag = PSH_POINT_POSITIVE;
   1585           max_flag = PSH_POINT_NEGATIVE;
   1586         }
   1587         else
   1588         {
   1589           min_flag = PSH_POINT_NEGATIVE;
   1590           max_flag = PSH_POINT_POSITIVE;
   1591         }
   1592 
   1593         if ( point->flags2 & min_flag )
   1594         {
   1595           for ( nn = 0; nn < num_hints; nn++ )
   1596           {
   1597             PSH_Hint  hint = sort[nn];
   1598             FT_Pos    d    = org_u - hint->org_pos;
   1599 
   1600 
   1601             if ( d < threshold && -d < threshold )
   1602             {
   1603               point->flags2 |= PSH_POINT_EDGE_MIN;
   1604               point->hint    = hint;
   1605               psh_point_set_strong( point );
   1606               break;
   1607             }
   1608           }
   1609         }
   1610         else if ( point->flags2 & max_flag )
   1611         {
   1612           for ( nn = 0; nn < num_hints; nn++ )
   1613           {
   1614             PSH_Hint  hint = sort[nn];
   1615             FT_Pos    d    = org_u - hint->org_pos - hint->org_len;
   1616 
   1617 
   1618             if ( d < threshold && -d < threshold )
   1619             {
   1620               point->flags2 |= PSH_POINT_EDGE_MAX;
   1621               point->hint    = hint;
   1622               psh_point_set_strong( point );
   1623               break;
   1624             }
   1625           }
   1626         }
   1627 
   1628         if ( point->hint == NULL )
   1629         {
   1630           for ( nn = 0; nn < num_hints; nn++ )
   1631           {
   1632             PSH_Hint  hint = sort[nn];
   1633 
   1634 
   1635             if ( org_u >= hint->org_pos                 &&
   1636                 org_u <= hint->org_pos + hint->org_len )
   1637             {
   1638               point->hint = hint;
   1639               break;
   1640             }
   1641           }
   1642         }
   1643       }
   1644 
   1645 #endif /* 1 */
   1646     }
   1647   }
   1648 
   1649 
   1650   /* the accepted shift for strong points in fractional pixels */
   1651 #define PSH_STRONG_THRESHOLD  32
   1652 
   1653   /* the maximum shift value in font units */
   1654 #define PSH_STRONG_THRESHOLD_MAXIMUM  30
   1655 
   1656 
   1657   /* find strong points in a glyph */
   1658   static void
   1659   psh_glyph_find_strong_points( PSH_Glyph  glyph,
   1660                                 FT_Int     dimension )
   1661   {
   1662     /* a point is `strong' if it is located on a stem edge and       */
   1663     /* has an `in' or `out' tangent parallel to the hint's direction */
   1664 
   1665     PSH_Hint_Table  table     = &glyph->hint_tables[dimension];
   1666     PS_Mask         mask      = table->hint_masks->masks;
   1667     FT_UInt         num_masks = table->hint_masks->num_masks;
   1668     FT_UInt         first     = 0;
   1669     FT_Int          major_dir = dimension == 0 ? PSH_DIR_VERTICAL
   1670                                                : PSH_DIR_HORIZONTAL;
   1671     PSH_Dimension   dim       = &glyph->globals->dimension[dimension];
   1672     FT_Fixed        scale     = dim->scale_mult;
   1673     FT_Int          threshold;
   1674 
   1675 
   1676     threshold = (FT_Int)FT_DivFix( PSH_STRONG_THRESHOLD, scale );
   1677     if ( threshold > PSH_STRONG_THRESHOLD_MAXIMUM )
   1678       threshold = PSH_STRONG_THRESHOLD_MAXIMUM;
   1679 
   1680     /* process secondary hints to `selected' points */
   1681     if ( num_masks > 1 && glyph->num_points > 0 )
   1682     {
   1683       /* the `endchar' op can reduce the number of points */
   1684       first = mask->end_point > glyph->num_points
   1685                 ? glyph->num_points
   1686                 : mask->end_point;
   1687       mask++;
   1688       for ( ; num_masks > 1; num_masks--, mask++ )
   1689       {
   1690         FT_UInt  next = FT_MIN( mask->end_point, glyph->num_points );
   1691 
   1692 
   1693         if ( next > first )
   1694         {
   1695           FT_UInt    count = next - first;
   1696           PSH_Point  point = glyph->points + first;
   1697 
   1698 
   1699           psh_hint_table_activate_mask( table, mask );
   1700 
   1701           psh_hint_table_find_strong_points( table, point, count,
   1702                                              threshold, major_dir );
   1703         }
   1704         first = next;
   1705       }
   1706     }
   1707 
   1708     /* process primary hints for all points */
   1709     if ( num_masks == 1 )
   1710     {
   1711       FT_UInt    count = glyph->num_points;
   1712       PSH_Point  point = glyph->points;
   1713 
   1714 
   1715       psh_hint_table_activate_mask( table, table->hint_masks->masks );
   1716 
   1717       psh_hint_table_find_strong_points( table, point, count,
   1718                                          threshold, major_dir );
   1719     }
   1720 
   1721     /* now, certain points may have been attached to a hint and */
   1722     /* not marked as strong; update their flags then            */
   1723     {
   1724       FT_UInt    count = glyph->num_points;
   1725       PSH_Point  point = glyph->points;
   1726 
   1727 
   1728       for ( ; count > 0; count--, point++ )
   1729         if ( point->hint && !psh_point_is_strong( point ) )
   1730           psh_point_set_strong( point );
   1731     }
   1732   }
   1733 
   1734 
   1735   /* find points in a glyph which are in a blue zone and have `in' or */
   1736   /* `out' tangents parallel to the horizontal axis                   */
   1737   static void
   1738   psh_glyph_find_blue_points( PSH_Blues  blues,
   1739                               PSH_Glyph  glyph )
   1740   {
   1741     PSH_Blue_Table  table;
   1742     PSH_Blue_Zone   zone;
   1743     FT_UInt         glyph_count = glyph->num_points;
   1744     FT_UInt         blue_count;
   1745     PSH_Point       point = glyph->points;
   1746 
   1747 
   1748     for ( ; glyph_count > 0; glyph_count--, point++ )
   1749     {
   1750       FT_Pos  y;
   1751 
   1752 
   1753       /* check tangents */
   1754       if ( !PSH_DIR_COMPARE( point->dir_in,  PSH_DIR_HORIZONTAL ) &&
   1755            !PSH_DIR_COMPARE( point->dir_out, PSH_DIR_HORIZONTAL ) )
   1756         continue;
   1757 
   1758       /* skip strong points */
   1759       if ( psh_point_is_strong( point ) )
   1760         continue;
   1761 
   1762       y = point->org_u;
   1763 
   1764       /* look up top zones */
   1765       table      = &blues->normal_top;
   1766       blue_count = table->count;
   1767       zone       = table->zones;
   1768 
   1769       for ( ; blue_count > 0; blue_count--, zone++ )
   1770       {
   1771         FT_Pos  delta = y - zone->org_bottom;
   1772 
   1773 
   1774         if ( delta < -blues->blue_fuzz )
   1775           break;
   1776 
   1777         if ( y <= zone->org_top + blues->blue_fuzz )
   1778           if ( blues->no_overshoots || delta <= blues->blue_threshold )
   1779           {
   1780             point->cur_u = zone->cur_bottom;
   1781             psh_point_set_strong( point );
   1782             psh_point_set_fitted( point );
   1783           }
   1784       }
   1785 
   1786       /* look up bottom zones */
   1787       table      = &blues->normal_bottom;
   1788       blue_count = table->count;
   1789       zone       = table->zones + blue_count - 1;
   1790 
   1791       for ( ; blue_count > 0; blue_count--, zone-- )
   1792       {
   1793         FT_Pos  delta = zone->org_top - y;
   1794 
   1795 
   1796         if ( delta < -blues->blue_fuzz )
   1797           break;
   1798 
   1799         if ( y >= zone->org_bottom - blues->blue_fuzz )
   1800           if ( blues->no_overshoots || delta < blues->blue_threshold )
   1801           {
   1802             point->cur_u = zone->cur_top;
   1803             psh_point_set_strong( point );
   1804             psh_point_set_fitted( point );
   1805           }
   1806       }
   1807     }
   1808   }
   1809 
   1810 
   1811   /* interpolate strong points with the help of hinted coordinates */
   1812   static void
   1813   psh_glyph_interpolate_strong_points( PSH_Glyph  glyph,
   1814                                        FT_Int     dimension )
   1815   {
   1816     PSH_Dimension  dim   = &glyph->globals->dimension[dimension];
   1817     FT_Fixed       scale = dim->scale_mult;
   1818 
   1819     FT_UInt        count = glyph->num_points;
   1820     PSH_Point      point = glyph->points;
   1821 
   1822 
   1823     for ( ; count > 0; count--, point++ )
   1824     {
   1825       PSH_Hint  hint = point->hint;
   1826 
   1827 
   1828       if ( hint )
   1829       {
   1830         FT_Pos  delta;
   1831 
   1832 
   1833         if ( psh_point_is_edge_min( point ) )
   1834           point->cur_u = hint->cur_pos;
   1835 
   1836         else if ( psh_point_is_edge_max( point ) )
   1837           point->cur_u = hint->cur_pos + hint->cur_len;
   1838 
   1839         else
   1840         {
   1841           delta = point->org_u - hint->org_pos;
   1842 
   1843           if ( delta <= 0 )
   1844             point->cur_u = hint->cur_pos + FT_MulFix( delta, scale );
   1845 
   1846           else if ( delta >= hint->org_len )
   1847             point->cur_u = hint->cur_pos + hint->cur_len +
   1848                              FT_MulFix( delta - hint->org_len, scale );
   1849 
   1850           else /* hint->org_len > 0 */
   1851             point->cur_u = hint->cur_pos +
   1852                              FT_MulDiv( delta, hint->cur_len,
   1853                                         hint->org_len );
   1854         }
   1855         psh_point_set_fitted( point );
   1856       }
   1857     }
   1858   }
   1859 
   1860 
   1861 #define  PSH_MAX_STRONG_INTERNAL  16
   1862 
   1863   static void
   1864   psh_glyph_interpolate_normal_points( PSH_Glyph  glyph,
   1865                                        FT_Int     dimension )
   1866   {
   1867 
   1868 #if 1
   1869     /* first technique: a point is strong if it is a local extremum */
   1870 
   1871     PSH_Dimension  dim    = &glyph->globals->dimension[dimension];
   1872     FT_Fixed       scale  = dim->scale_mult;
   1873     FT_Memory      memory = glyph->memory;
   1874 
   1875     PSH_Point*     strongs     = NULL;
   1876     PSH_Point      strongs_0[PSH_MAX_STRONG_INTERNAL];
   1877     FT_UInt        num_strongs = 0;
   1878 
   1879     PSH_Point      points = glyph->points;
   1880     PSH_Point      points_end = points + glyph->num_points;
   1881     PSH_Point      point;
   1882 
   1883 
   1884     /* first count the number of strong points */
   1885     for ( point = points; point < points_end; point++ )
   1886     {
   1887       if ( psh_point_is_strong( point ) )
   1888         num_strongs++;
   1889     }
   1890 
   1891     if ( num_strongs == 0 )  /* nothing to do here */
   1892       return;
   1893 
   1894     /* allocate an array to store a list of points, */
   1895     /* stored in increasing org_u order             */
   1896     if ( num_strongs <= PSH_MAX_STRONG_INTERNAL )
   1897       strongs = strongs_0;
   1898     else
   1899     {
   1900       FT_Error  error;
   1901 
   1902 
   1903       if ( FT_NEW_ARRAY( strongs, num_strongs ) )
   1904         return;
   1905     }
   1906 
   1907     num_strongs = 0;
   1908     for ( point = points; point < points_end; point++ )
   1909     {
   1910       PSH_Point*  insert;
   1911 
   1912 
   1913       if ( !psh_point_is_strong( point ) )
   1914         continue;
   1915 
   1916       for ( insert = strongs + num_strongs; insert > strongs; insert-- )
   1917       {
   1918         if ( insert[-1]->org_u <= point->org_u )
   1919           break;
   1920 
   1921         insert[0] = insert[-1];
   1922       }
   1923       insert[0] = point;
   1924       num_strongs++;
   1925     }
   1926 
   1927     /* now try to interpolate all normal points */
   1928     for ( point = points; point < points_end; point++ )
   1929     {
   1930       if ( psh_point_is_strong( point ) )
   1931         continue;
   1932 
   1933       /* sometimes, some local extrema are smooth points */
   1934       if ( psh_point_is_smooth( point ) )
   1935       {
   1936         if ( point->dir_in == PSH_DIR_NONE   ||
   1937              point->dir_in != point->dir_out )
   1938           continue;
   1939 
   1940         if ( !psh_point_is_extremum( point ) &&
   1941              !psh_point_is_inflex( point )   )
   1942           continue;
   1943 
   1944         point->flags &= ~PSH_POINT_SMOOTH;
   1945       }
   1946 
   1947       /* find best enclosing point coordinates then interpolate */
   1948       {
   1949         PSH_Point   before, after;
   1950         FT_UInt     nn;
   1951 
   1952 
   1953         for ( nn = 0; nn < num_strongs; nn++ )
   1954           if ( strongs[nn]->org_u > point->org_u )
   1955             break;
   1956 
   1957         if ( nn == 0 )  /* point before the first strong point */
   1958         {
   1959           after = strongs[0];
   1960 
   1961           point->cur_u = after->cur_u +
   1962                            FT_MulFix( point->org_u - after->org_u,
   1963                                       scale );
   1964         }
   1965         else
   1966         {
   1967           before = strongs[nn - 1];
   1968 
   1969           for ( nn = num_strongs; nn > 0; nn-- )
   1970             if ( strongs[nn - 1]->org_u < point->org_u )
   1971               break;
   1972 
   1973           if ( nn == num_strongs )  /* point is after last strong point */
   1974           {
   1975             before = strongs[nn - 1];
   1976 
   1977             point->cur_u = before->cur_u +
   1978                              FT_MulFix( point->org_u - before->org_u,
   1979                                         scale );
   1980           }
   1981           else
   1982           {
   1983             FT_Pos  u;
   1984 
   1985 
   1986             after = strongs[nn];
   1987 
   1988             /* now interpolate point between before and after */
   1989             u = point->org_u;
   1990 
   1991             if ( u == before->org_u )
   1992               point->cur_u = before->cur_u;
   1993 
   1994             else if ( u == after->org_u )
   1995               point->cur_u = after->cur_u;
   1996 
   1997             else
   1998               point->cur_u = before->cur_u +
   1999                                FT_MulDiv( u - before->org_u,
   2000                                           after->cur_u - before->cur_u,
   2001                                           after->org_u - before->org_u );
   2002           }
   2003         }
   2004         psh_point_set_fitted( point );
   2005       }
   2006     }
   2007 
   2008     if ( strongs != strongs_0 )
   2009       FT_FREE( strongs );
   2010 
   2011 #endif /* 1 */
   2012 
   2013   }
   2014 
   2015 
   2016   /* interpolate other points */
   2017   static void
   2018   psh_glyph_interpolate_other_points( PSH_Glyph  glyph,
   2019                                       FT_Int     dimension )
   2020   {
   2021     PSH_Dimension  dim          = &glyph->globals->dimension[dimension];
   2022     FT_Fixed       scale        = dim->scale_mult;
   2023     FT_Fixed       delta        = dim->scale_delta;
   2024     PSH_Contour    contour      = glyph->contours;
   2025     FT_UInt        num_contours = glyph->num_contours;
   2026 
   2027 
   2028     for ( ; num_contours > 0; num_contours--, contour++ )
   2029     {
   2030       PSH_Point  start = contour->start;
   2031       PSH_Point  first, next, point;
   2032       FT_UInt    fit_count;
   2033 
   2034 
   2035       /* count the number of strong points in this contour */
   2036       next      = start + contour->count;
   2037       fit_count = 0;
   2038       first     = NULL;
   2039 
   2040       for ( point = start; point < next; point++ )
   2041         if ( psh_point_is_fitted( point ) )
   2042         {
   2043           if ( !first )
   2044             first = point;
   2045 
   2046           fit_count++;
   2047         }
   2048 
   2049       /* if there are less than 2 fitted points in the contour, we */
   2050       /* simply scale and eventually translate the contour points  */
   2051       if ( fit_count < 2 )
   2052       {
   2053         if ( fit_count == 1 )
   2054           delta = first->cur_u - FT_MulFix( first->org_u, scale );
   2055 
   2056         for ( point = start; point < next; point++ )
   2057           if ( point != first )
   2058             point->cur_u = FT_MulFix( point->org_u, scale ) + delta;
   2059 
   2060         goto Next_Contour;
   2061       }
   2062 
   2063       /* there are more than 2 strong points in this contour; we */
   2064       /* need to interpolate weak points between them            */
   2065       start = first;
   2066       do
   2067       {
   2068         /* skip consecutive fitted points */
   2069         for (;;)
   2070         {
   2071           next = first->next;
   2072           if ( next == start )
   2073             goto Next_Contour;
   2074 
   2075           if ( !psh_point_is_fitted( next ) )
   2076             break;
   2077 
   2078           first = next;
   2079         }
   2080 
   2081         /* find next fitted point after unfitted one */
   2082         for (;;)
   2083         {
   2084           next = next->next;
   2085           if ( psh_point_is_fitted( next ) )
   2086             break;
   2087         }
   2088 
   2089         /* now interpolate between them */
   2090         {
   2091           FT_Pos    org_a, org_ab, cur_a, cur_ab;
   2092           FT_Pos    org_c, org_ac, cur_c;
   2093           FT_Fixed  scale_ab;
   2094 
   2095 
   2096           if ( first->org_u <= next->org_u )
   2097           {
   2098             org_a  = first->org_u;
   2099             cur_a  = first->cur_u;
   2100             org_ab = next->org_u - org_a;
   2101             cur_ab = next->cur_u - cur_a;
   2102           }
   2103           else
   2104           {
   2105             org_a  = next->org_u;
   2106             cur_a  = next->cur_u;
   2107             org_ab = first->org_u - org_a;
   2108             cur_ab = first->cur_u - cur_a;
   2109           }
   2110 
   2111           scale_ab = 0x10000L;
   2112           if ( org_ab > 0 )
   2113             scale_ab = FT_DivFix( cur_ab, org_ab );
   2114 
   2115           point = first->next;
   2116           do
   2117           {
   2118             org_c  = point->org_u;
   2119             org_ac = org_c - org_a;
   2120 
   2121             if ( org_ac <= 0 )
   2122             {
   2123               /* on the left of the interpolation zone */
   2124               cur_c = cur_a + FT_MulFix( org_ac, scale );
   2125             }
   2126             else if ( org_ac >= org_ab )
   2127             {
   2128               /* on the right on the interpolation zone */
   2129               cur_c = cur_a + cur_ab + FT_MulFix( org_ac - org_ab, scale );
   2130             }
   2131             else
   2132             {
   2133               /* within the interpolation zone */
   2134               cur_c = cur_a + FT_MulFix( org_ac, scale_ab );
   2135             }
   2136 
   2137             point->cur_u = cur_c;
   2138 
   2139             point = point->next;
   2140 
   2141           } while ( point != next );
   2142         }
   2143 
   2144         /* keep going until all points in the contours have been processed */
   2145         first = next;
   2146 
   2147       } while ( first != start );
   2148 
   2149     Next_Contour:
   2150       ;
   2151     }
   2152   }
   2153 
   2154 
   2155   /*************************************************************************/
   2156   /*************************************************************************/
   2157   /*****                                                               *****/
   2158   /*****                     HIGH-LEVEL INTERFACE                      *****/
   2159   /*****                                                               *****/
   2160   /*************************************************************************/
   2161   /*************************************************************************/
   2162 
   2163   FT_Error
   2164   ps_hints_apply( PS_Hints        ps_hints,
   2165                   FT_Outline*     outline,
   2166                   PSH_Globals     globals,
   2167                   FT_Render_Mode  hint_mode )
   2168   {
   2169     PSH_GlyphRec  glyphrec;
   2170     PSH_Glyph     glyph = &glyphrec;
   2171     FT_Error      error;
   2172 #ifdef DEBUG_HINTER
   2173     FT_Memory     memory;
   2174 #endif
   2175     FT_Int        dimension;
   2176 
   2177 
   2178     /* something to do? */
   2179     if ( outline->n_points == 0 || outline->n_contours == 0 )
   2180       return FT_Err_Ok;
   2181 
   2182 #ifdef DEBUG_HINTER
   2183 
   2184     memory = globals->memory;
   2185 
   2186     if ( ps_debug_glyph )
   2187     {
   2188       psh_glyph_done( ps_debug_glyph );
   2189       FT_FREE( ps_debug_glyph );
   2190     }
   2191 
   2192     if ( FT_NEW( glyph ) )
   2193       return error;
   2194 
   2195     ps_debug_glyph = glyph;
   2196 
   2197 #endif /* DEBUG_HINTER */
   2198 
   2199     error = psh_glyph_init( glyph, outline, ps_hints, globals );
   2200     if ( error )
   2201       goto Exit;
   2202 
   2203     /* try to optimize the y_scale so that the top of non-capital letters
   2204      * is aligned on a pixel boundary whenever possible
   2205      */
   2206     {
   2207       PSH_Dimension  dim_x = &glyph->globals->dimension[0];
   2208       PSH_Dimension  dim_y = &glyph->globals->dimension[1];
   2209 
   2210       FT_Fixed  x_scale = dim_x->scale_mult;
   2211       FT_Fixed  y_scale = dim_y->scale_mult;
   2212 
   2213       FT_Fixed  old_x_scale = x_scale;
   2214       FT_Fixed  old_y_scale = y_scale;
   2215 
   2216       FT_Fixed  scaled;
   2217       FT_Fixed  fitted;
   2218 
   2219       FT_Bool  rescale = FALSE;
   2220 
   2221 
   2222       scaled = FT_MulFix( globals->blues.normal_top.zones->org_ref, y_scale );
   2223       fitted = FT_PIX_ROUND( scaled );
   2224 
   2225       if ( fitted != 0 && scaled != fitted )
   2226       {
   2227         rescale = TRUE;
   2228 
   2229         y_scale = FT_MulDiv( y_scale, fitted, scaled );
   2230 
   2231         if ( fitted < scaled )
   2232           x_scale -= x_scale / 50;
   2233 
   2234         psh_globals_set_scale( glyph->globals, x_scale, y_scale, 0, 0 );
   2235       }
   2236 
   2237       glyph->do_horz_hints = 1;
   2238       glyph->do_vert_hints = 1;
   2239 
   2240       glyph->do_horz_snapping = FT_BOOL( hint_mode == FT_RENDER_MODE_MONO ||
   2241                                          hint_mode == FT_RENDER_MODE_LCD  );
   2242 
   2243       glyph->do_vert_snapping = FT_BOOL( hint_mode == FT_RENDER_MODE_MONO  ||
   2244                                          hint_mode == FT_RENDER_MODE_LCD_V );
   2245 
   2246       glyph->do_stem_adjust   = FT_BOOL( hint_mode != FT_RENDER_MODE_LIGHT );
   2247 
   2248       for ( dimension = 0; dimension < 2; dimension++ )
   2249       {
   2250         /* load outline coordinates into glyph */
   2251         psh_glyph_load_points( glyph, dimension );
   2252 
   2253         /* compute local extrema */
   2254         psh_glyph_compute_extrema( glyph );
   2255 
   2256         /* compute aligned stem/hints positions */
   2257         psh_hint_table_align_hints( &glyph->hint_tables[dimension],
   2258                                     glyph->globals,
   2259                                     dimension,
   2260                                     glyph );
   2261 
   2262         /* find strong points, align them, then interpolate others */
   2263         psh_glyph_find_strong_points( glyph, dimension );
   2264         if ( dimension == 1 )
   2265           psh_glyph_find_blue_points( &globals->blues, glyph );
   2266         psh_glyph_interpolate_strong_points( glyph, dimension );
   2267         psh_glyph_interpolate_normal_points( glyph, dimension );
   2268         psh_glyph_interpolate_other_points( glyph, dimension );
   2269 
   2270         /* save hinted coordinates back to outline */
   2271         psh_glyph_save_points( glyph, dimension );
   2272 
   2273         if ( rescale )
   2274           psh_globals_set_scale( glyph->globals,
   2275                                  old_x_scale, old_y_scale, 0, 0 );
   2276       }
   2277     }
   2278 
   2279   Exit:
   2280 
   2281 #ifndef DEBUG_HINTER
   2282     psh_glyph_done( glyph );
   2283 #endif
   2284 
   2285     return error;
   2286   }
   2287 
   2288 
   2289 /* END */
   2290