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kc3-lang/freetype/src/autofit/aflatin.c

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  • Author : Werner Lemberg
    Date : 2011-04-04 13:02:08
    Hash : 948a8fb6
    Message : Fix formatting of autofit debug dumps. * src/autofit/afhints.c (af_glyph_hints_dump_points, af_glyph_hints_dump_segments, af_glyph_hints_dump_edges): Adjust column widths.

  • src/autofit/aflatin.c
  • /***************************************************************************/
    /*                                                                         */
    /*  aflatin.c                                                              */
    /*                                                                         */
    /*    Auto-fitter hinting routines for latin script (body).                */
    /*                                                                         */
    /*  Copyright 2003-2011 by                                                 */
    /*  David Turner, Robert Wilhelm, and Werner Lemberg.                      */
    /*                                                                         */
    /*  This file is part of the FreeType project, and may only be used,       */
    /*  modified, and distributed under the terms of the FreeType project      */
    /*  license, LICENSE.TXT.  By continuing to use, modify, or distribute     */
    /*  this file you indicate that you have read the license and              */
    /*  understand and accept it fully.                                        */
    /*                                                                         */
    /***************************************************************************/
    
    
    #include <ft2build.h>
    #include FT_ADVANCES_H
    
    #include "aflatin.h"
    #include "aferrors.h"
    
    
    #ifdef AF_CONFIG_OPTION_USE_WARPER
    #include "afwarp.h"
    #endif
    
    
      /*************************************************************************/
      /*************************************************************************/
      /*****                                                               *****/
      /*****            L A T I N   G L O B A L   M E T R I C S            *****/
      /*****                                                               *****/
      /*************************************************************************/
      /*************************************************************************/
    
    
      /* Find segments and links, compute all stem widths, and initialize */
      /* standard width and height for the glyph with given charcode.     */
    
      FT_LOCAL_DEF( void )
      af_latin_metrics_init_widths( AF_LatinMetrics  metrics,
                                    FT_Face          face,
                                    FT_ULong         charcode )
      {
        /* scan the array of segments in each direction */
        AF_GlyphHintsRec  hints[1];
    
    
        af_glyph_hints_init( hints, face->memory );
    
        metrics->axis[AF_DIMENSION_HORZ].width_count = 0;
        metrics->axis[AF_DIMENSION_VERT].width_count = 0;
    
        {
          FT_Error             error;
          FT_UInt              glyph_index;
          int                  dim;
          AF_LatinMetricsRec   dummy[1];
          AF_Scaler            scaler = &dummy->root.scaler;
    
    
          glyph_index = FT_Get_Char_Index( face, charcode );
          if ( glyph_index == 0 )
            goto Exit;
    
          error = FT_Load_Glyph( face, glyph_index, FT_LOAD_NO_SCALE );
          if ( error || face->glyph->outline.n_points <= 0 )
            goto Exit;
    
          FT_ZERO( dummy );
    
          dummy->units_per_em = metrics->units_per_em;
    
          scaler->x_scale = 0x10000L;
          scaler->y_scale = 0x10000L;
          scaler->x_delta = 0;
          scaler->y_delta = 0;
    
          scaler->face        = face;
          scaler->render_mode = FT_RENDER_MODE_NORMAL;
          scaler->flags       = 0;
    
          af_glyph_hints_rescale( hints, (AF_ScriptMetrics)dummy );
    
          error = af_glyph_hints_reload( hints, &face->glyph->outline );
          if ( error )
            goto Exit;
    
          for ( dim = 0; dim < AF_DIMENSION_MAX; dim++ )
          {
            AF_LatinAxis  axis    = &metrics->axis[dim];
            AF_AxisHints  axhints = &hints->axis[dim];
            AF_Segment    seg, limit, link;
            FT_UInt       num_widths = 0;
    
    
            error = af_latin_hints_compute_segments( hints,
                                                     (AF_Dimension)dim );
            if ( error )
              goto Exit;
    
            af_latin_hints_link_segments( hints,
                                          (AF_Dimension)dim );
    
            seg   = axhints->segments;
            limit = seg + axhints->num_segments;
    
            for ( ; seg < limit; seg++ )
            {
              link = seg->link;
    
              /* we only consider stem segments there! */
              if ( link && link->link == seg && link > seg )
              {
                FT_Pos  dist;
    
    
                dist = seg->pos - link->pos;
                if ( dist < 0 )
                  dist = -dist;
    
                if ( num_widths < AF_LATIN_MAX_WIDTHS )
                  axis->widths[num_widths++].org = dist;
              }
            }
    
            af_sort_widths( num_widths, axis->widths );
            axis->width_count = num_widths;
          }
    
      Exit:
          for ( dim = 0; dim < AF_DIMENSION_MAX; dim++ )
          {
            AF_LatinAxis  axis = &metrics->axis[dim];
            FT_Pos        stdw;
    
    
            stdw = ( axis->width_count > 0 )
                     ? axis->widths[0].org
                     : AF_LATIN_CONSTANT( metrics, 50 );
    
            /* let's try 20% of the smallest width */
            axis->edge_distance_threshold = stdw / 5;
            axis->standard_width          = stdw;
            axis->extra_light             = 0;
          }
        }
    
        af_glyph_hints_done( hints );
      }
    
    
    
    #define AF_LATIN_MAX_TEST_CHARACTERS  12
    
    
      static const char af_latin_blue_chars[AF_LATIN_MAX_BLUES]
                                           [AF_LATIN_MAX_TEST_CHARACTERS + 1] =
      {
        "THEZOCQS",
        "HEZLOCUS",
        "fijkdbh",
        "xzroesc",
        "xzroesc",
        "pqgjy"
      };
    
    
      /* Find all blue zones.  Flat segments give the reference points, */
      /* round segments the overshoot positions.                        */
    
      static void
      af_latin_metrics_init_blues( AF_LatinMetrics  metrics,
                                   FT_Face          face )
      {
        FT_Pos        flats [AF_LATIN_MAX_TEST_CHARACTERS];
        FT_Pos        rounds[AF_LATIN_MAX_TEST_CHARACTERS];
        FT_Int        num_flats;
        FT_Int        num_rounds;
        FT_Int        bb;
        AF_LatinBlue  blue;
        FT_Error      error;
        AF_LatinAxis  axis  = &metrics->axis[AF_DIMENSION_VERT];
        FT_GlyphSlot  glyph = face->glyph;
    
    
        /* we compute the blues simply by loading each character from the    */
        /* `af_latin_blue_chars[blues]' string, then finding its top-most or */
        /* bottom-most points (depending on `AF_IS_TOP_BLUE')                */
    
        AF_LOG(( "blue zones computation\n" ));
        AF_LOG(( "------------------------------------------------\n" ));
    
        for ( bb = 0; bb < AF_LATIN_BLUE_MAX; bb++ )
        {
          const char*  p     = af_latin_blue_chars[bb];
          const char*  limit = p + AF_LATIN_MAX_TEST_CHARACTERS;
          FT_Pos*      blue_ref;
          FT_Pos*      blue_shoot;
    
    
          AF_LOG(( "blue %3d: ", bb ));
    
          num_flats  = 0;
          num_rounds = 0;
    
          for ( ; p < limit && *p; p++ )
          {
            FT_UInt     glyph_index;
            FT_Pos      best_y;                            /* same as points.y */
            FT_Int      best_point, best_first, best_last;
            FT_Vector*  points;
            FT_Bool     round = 0;
    
    
            AF_LOG(( "'%c'", *p ));
    
            /* load the character in the face -- skip unknown or empty ones */
            glyph_index = FT_Get_Char_Index( face, (FT_UInt)*p );
            if ( glyph_index == 0 )
              continue;
    
            error = FT_Load_Glyph( face, glyph_index, FT_LOAD_NO_SCALE );
            if ( error || glyph->outline.n_points <= 0 )
              continue;
    
            /* now compute min or max point indices and coordinates */
            points      = glyph->outline.points;
            best_point  = -1;
            best_y      = 0;  /* make compiler happy */
            best_first  = 0;  /* ditto */
            best_last   = 0;  /* ditto */
    
            {
              FT_Int  nn;
              FT_Int  first = 0;
              FT_Int  last  = -1;
    
    
              for ( nn = 0;
                    nn < glyph->outline.n_contours;
                    first = last + 1, nn++ )
              {
                FT_Int  old_best_point = best_point;
                FT_Int  pp;
    
    
                last = glyph->outline.contours[nn];
    
                /* Avoid single-point contours since they are never rasterized. */
                /* In some fonts, they correspond to mark attachment points     */
                /* which are way outside of the glyph's real outline.           */
                if ( last <= first )
                  continue;
    
                if ( AF_LATIN_IS_TOP_BLUE( bb ) )
                {
                  for ( pp = first; pp <= last; pp++ )
                    if ( best_point < 0 || points[pp].y > best_y )
                    {
                      best_point = pp;
                      best_y     = points[pp].y;
                    }
                }
                else
                {
                  for ( pp = first; pp <= last; pp++ )
                    if ( best_point < 0 || points[pp].y < best_y )
                    {
                      best_point = pp;
                      best_y     = points[pp].y;
                    }
                }
    
                if ( best_point != old_best_point )
                {
                  best_first = first;
                  best_last  = last;
                }
              }
              AF_LOG(( "%5d", best_y ));
            }
    
            /* now check whether the point belongs to a straight or round   */
            /* segment; we first need to find in which contour the extremum */
            /* lies, then inspect its previous and next points              */
            if ( best_point >= 0 )
            {
              FT_Int  prev, next;
              FT_Pos  dist;
    
    
              /* now look for the previous and next points that are not on the */
              /* same Y coordinate.  Threshold the `closeness'...              */
              prev = best_point;
              next = prev;
    
              do
              {
                if ( prev > best_first )
                  prev--;
                else
                  prev = best_last;
    
                dist = points[prev].y - best_y;
                if ( dist < -5 || dist > 5 )
                  break;
    
              } while ( prev != best_point );
    
              do
              {
                if ( next < best_last )
                  next++;
                else
                  next = best_first;
    
                dist = points[next].y - best_y;
                if ( dist < -5 || dist > 5 )
                  break;
    
              } while ( next != best_point );
    
              /* now set the `round' flag depending on the segment's kind */
              round = FT_BOOL(
                FT_CURVE_TAG( glyph->outline.tags[prev] ) != FT_CURVE_TAG_ON ||
                FT_CURVE_TAG( glyph->outline.tags[next] ) != FT_CURVE_TAG_ON );
    
              AF_LOG(( "%c ", round ? 'r' : 'f' ));
            }
    
            if ( round )
              rounds[num_rounds++] = best_y;
            else
              flats[num_flats++]   = best_y;
          }
    
          AF_LOG(( "\n" ));
    
          if ( num_flats == 0 && num_rounds == 0 )
          {
            /*
             *  we couldn't find a single glyph to compute this blue zone,
             *  we will simply ignore it then
             */
            AF_LOG(( "empty\n" ));
            continue;
          }
    
          /* we have computed the contents of the `rounds' and `flats' tables, */
          /* now determine the reference and overshoot position of the blue -- */
          /* we simply take the median value after a simple sort               */
          af_sort_pos( num_rounds, rounds );
          af_sort_pos( num_flats,  flats );
    
          blue       = &axis->blues[axis->blue_count];
          blue_ref   = &blue->ref.org;
          blue_shoot = &blue->shoot.org;
    
          axis->blue_count++;
    
          if ( num_flats == 0 )
          {
            *blue_ref   =
            *blue_shoot = rounds[num_rounds / 2];
          }
          else if ( num_rounds == 0 )
          {
            *blue_ref   =
            *blue_shoot = flats[num_flats / 2];
          }
          else
          {
            *blue_ref   = flats[num_flats / 2];
            *blue_shoot = rounds[num_rounds / 2];
          }
    
          /* there are sometimes problems: if the overshoot position of top     */
          /* zones is under its reference position, or the opposite for bottom  */
          /* zones.  We must thus check everything there and correct the errors */
          if ( *blue_shoot != *blue_ref )
          {
            FT_Pos   ref      = *blue_ref;
            FT_Pos   shoot    = *blue_shoot;
            FT_Bool  over_ref = FT_BOOL( shoot > ref );
    
    
            if ( AF_LATIN_IS_TOP_BLUE( bb ) ^ over_ref )
              *blue_ref   =
              *blue_shoot = ( shoot + ref ) / 2;
          }
    
          blue->flags = 0;
          if ( AF_LATIN_IS_TOP_BLUE( bb ) )
            blue->flags |= AF_LATIN_BLUE_TOP;
    
          /*
           * The following flag is used later to adjust the y and x scales
           * in order to optimize the pixel grid alignment of the top of small
           * letters.
           */
          if ( bb == AF_LATIN_BLUE_SMALL_TOP )
            blue->flags |= AF_LATIN_BLUE_ADJUSTMENT;
    
          AF_LOG(( "-- ref = %ld, shoot = %ld\n", *blue_ref, *blue_shoot ));
        }
    
        return;
      }
    
    
      /* Check whether all ASCII digits have the same advance width. */
    
      FT_LOCAL_DEF( void )
      af_latin_metrics_check_digits( AF_LatinMetrics  metrics,
                                     FT_Face          face )
      {
        FT_UInt   i;
        FT_Bool   started = 0, same_width = 1;
        FT_Fixed  advance, old_advance = 0;
    
    
        /* digit `0' is 0x30 in all supported charmaps */
        for ( i = 0x30; i <= 0x39; i++ )
        {
          FT_UInt  glyph_index;
    
    
          glyph_index = FT_Get_Char_Index( face, i );
          if ( glyph_index == 0 )
            continue;
    
          if ( FT_Get_Advance( face, glyph_index,
                               FT_LOAD_NO_SCALE         |
                               FT_LOAD_NO_HINTING       |
                               FT_LOAD_IGNORE_TRANSFORM,
                               &advance ) )
            continue;
    
          if ( started )
          {
            if ( advance != old_advance )
            {
              same_width = 0;
              break;
            }
          }
          else
          {
            old_advance = advance;
            started     = 1;
          }
        }
    
        metrics->root.digits_have_same_width = same_width;
      }
    
    
      /* Initialize global metrics. */
    
      FT_LOCAL_DEF( FT_Error )
      af_latin_metrics_init( AF_LatinMetrics  metrics,
                             FT_Face          face )
      {
        FT_Error    error = AF_Err_Ok;
        FT_CharMap  oldmap = face->charmap;
        FT_UInt     ee;
    
        static const FT_Encoding  latin_encodings[] =
        {
          FT_ENCODING_UNICODE,
          FT_ENCODING_APPLE_ROMAN,
          FT_ENCODING_ADOBE_STANDARD,
          FT_ENCODING_ADOBE_LATIN_1,
    
          FT_ENCODING_NONE  /* end of list */
        };
    
    
        metrics->units_per_em = face->units_per_EM;
    
        /* do we have a latin charmap in there? */
        for ( ee = 0; latin_encodings[ee] != FT_ENCODING_NONE; ee++ )
        {
          error = FT_Select_Charmap( face, latin_encodings[ee] );
          if ( !error )
            break;
        }
    
        if ( !error )
        {
          /* For now, compute the standard width and height from the `o'. */
          af_latin_metrics_init_widths( metrics, face, 'o' );
          af_latin_metrics_init_blues( metrics, face );
          af_latin_metrics_check_digits( metrics, face );
        }
    
        FT_Set_Charmap( face, oldmap );
        return AF_Err_Ok;
      }
    
    
      /* Adjust scaling value, then scale and shift widths   */
      /* and blue zones (if applicable) for given dimension. */
    
      static void
      af_latin_metrics_scale_dim( AF_LatinMetrics  metrics,
                                  AF_Scaler        scaler,
                                  AF_Dimension     dim )
      {
        FT_Fixed      scale;
        FT_Pos        delta;
        AF_LatinAxis  axis;
        FT_UInt       nn;
    
    
        if ( dim == AF_DIMENSION_HORZ )
        {
          scale = scaler->x_scale;
          delta = scaler->x_delta;
        }
        else
        {
          scale = scaler->y_scale;
          delta = scaler->y_delta;
        }
    
        axis = &metrics->axis[dim];
    
        if ( axis->org_scale == scale && axis->org_delta == delta )
          return;
    
        axis->org_scale = scale;
        axis->org_delta = delta;
    
        /*
         * correct X and Y scale to optimize the alignment of the top of small
         * letters to the pixel grid
         */
        {
          AF_LatinAxis  Axis = &metrics->axis[AF_DIMENSION_VERT];
          AF_LatinBlue  blue = NULL;
    
    
          for ( nn = 0; nn < Axis->blue_count; nn++ )
          {
            if ( Axis->blues[nn].flags & AF_LATIN_BLUE_ADJUSTMENT )
            {
              blue = &Axis->blues[nn];
              break;
            }
          }
    
          if ( blue )
          {
            FT_Pos  scaled = FT_MulFix( blue->shoot.org, scaler->y_scale );
            FT_Pos  fitted = ( scaled + 40 ) & ~63;
    
    
            if ( scaled != fitted )
            {
    #if 0
              if ( dim == AF_DIMENSION_HORZ )
              {
                if ( fitted < scaled )
                  scale -= scale / 50;  /* scale *= 0.98 */
              }
              else
    #endif
              if ( dim == AF_DIMENSION_VERT )
                scale = FT_MulDiv( scale, fitted, scaled );
            }
          }
        }
    
        axis->scale = scale;
        axis->delta = delta;
    
        if ( dim == AF_DIMENSION_HORZ )
        {
          metrics->root.scaler.x_scale = scale;
          metrics->root.scaler.x_delta = delta;
        }
        else
        {
          metrics->root.scaler.y_scale = scale;
          metrics->root.scaler.y_delta = delta;
        }
    
        /* scale the widths */
        for ( nn = 0; nn < axis->width_count; nn++ )
        {
          AF_Width  width = axis->widths + nn;
    
    
          width->cur = FT_MulFix( width->org, scale );
          width->fit = width->cur;
        }
    
        /* an extra-light axis corresponds to a standard width that is */
        /* smaller than 0.75 pixels                                    */
        axis->extra_light =
          (FT_Bool)( FT_MulFix( axis->standard_width, scale ) < 32 + 8 );
    
        if ( dim == AF_DIMENSION_VERT )
        {
          /* scale the blue zones */
          for ( nn = 0; nn < axis->blue_count; nn++ )
          {
            AF_LatinBlue  blue = &axis->blues[nn];
            FT_Pos        dist;
    
    
            blue->ref.cur   = FT_MulFix( blue->ref.org, scale ) + delta;
            blue->ref.fit   = blue->ref.cur;
            blue->shoot.cur = FT_MulFix( blue->shoot.org, scale ) + delta;
            blue->shoot.fit = blue->shoot.cur;
            blue->flags    &= ~AF_LATIN_BLUE_ACTIVE;
    
            /* a blue zone is only active if it is less than 3/4 pixels tall */
            dist = FT_MulFix( blue->ref.org - blue->shoot.org, scale );
            if ( dist <= 48 && dist >= -48 )
            {
              FT_Pos  delta1, delta2;
    
    
              delta1 = blue->shoot.org - blue->ref.org;
              delta2 = delta1;
              if ( delta1 < 0 )
                delta2 = -delta2;
    
              delta2 = FT_MulFix( delta2, scale );
    
              if ( delta2 < 32 )
                delta2 = 0;
              else if ( delta2 < 64 )
                delta2 = 32 + ( ( ( delta2 - 32 ) + 16 ) & ~31 );
              else
                delta2 = FT_PIX_ROUND( delta2 );
    
              if ( delta1 < 0 )
                delta2 = -delta2;
    
              blue->ref.fit   = FT_PIX_ROUND( blue->ref.cur );
              blue->shoot.fit = blue->ref.fit + delta2;
    
              blue->flags |= AF_LATIN_BLUE_ACTIVE;
            }
          }
        }
      }
    
    
      /* Scale global values in both directions. */
    
      FT_LOCAL_DEF( void )
      af_latin_metrics_scale( AF_LatinMetrics  metrics,
                              AF_Scaler        scaler )
      {
        metrics->root.scaler.render_mode = scaler->render_mode;
        metrics->root.scaler.face        = scaler->face;
    
        af_latin_metrics_scale_dim( metrics, scaler, AF_DIMENSION_HORZ );
        af_latin_metrics_scale_dim( metrics, scaler, AF_DIMENSION_VERT );
      }
    
    
      /*************************************************************************/
      /*************************************************************************/
      /*****                                                               *****/
      /*****           L A T I N   G L Y P H   A N A L Y S I S             *****/
      /*****                                                               *****/
      /*************************************************************************/
      /*************************************************************************/
    
    
      /* Walk over all contours and compute its segments. */
    
      FT_LOCAL_DEF( FT_Error )
      af_latin_hints_compute_segments( AF_GlyphHints  hints,
                                       AF_Dimension   dim )
      {
        AF_AxisHints   axis          = &hints->axis[dim];
        FT_Memory      memory        = hints->memory;
        FT_Error       error         = AF_Err_Ok;
        AF_Segment     segment       = NULL;
        AF_SegmentRec  seg0;
        AF_Point*      contour       = hints->contours;
        AF_Point*      contour_limit = contour + hints->num_contours;
        AF_Direction   major_dir, segment_dir;
    
    
        FT_ZERO( &seg0 );
        seg0.score = 32000;
        seg0.flags = AF_EDGE_NORMAL;
    
        major_dir   = (AF_Direction)FT_ABS( axis->major_dir );
        segment_dir = major_dir;
    
        axis->num_segments = 0;
    
        /* set up (u,v) in each point */
        if ( dim == AF_DIMENSION_HORZ )
        {
          AF_Point  point = hints->points;
          AF_Point  limit = point + hints->num_points;
    
    
          for ( ; point < limit; point++ )
          {
            point->u = point->fx;
            point->v = point->fy;
          }
        }
        else
        {
          AF_Point  point = hints->points;
          AF_Point  limit = point + hints->num_points;
    
    
          for ( ; point < limit; point++ )
          {
            point->u = point->fy;
            point->v = point->fx;
          }
        }
    
        /* do each contour separately */
        for ( ; contour < contour_limit; contour++ )
        {
          AF_Point  point   =  contour[0];
          AF_Point  last    =  point->prev;
          int       on_edge =  0;
          FT_Pos    min_pos =  32000;  /* minimum segment pos != min_coord */
          FT_Pos    max_pos = -32000;  /* maximum segment pos != max_coord */
          FT_Bool   passed;
    
    
          if ( point == last )  /* skip singletons -- just in case */
            continue;
    
          if ( FT_ABS( last->out_dir )  == major_dir &&
               FT_ABS( point->out_dir ) == major_dir )
          {
            /* we are already on an edge, try to locate its start */
            last = point;
    
            for (;;)
            {
              point = point->prev;
              if ( FT_ABS( point->out_dir ) != major_dir )
              {
                point = point->next;
                break;
              }
              if ( point == last )
                break;
            }
          }
    
          last   = point;
          passed = 0;
    
          for (;;)
          {
            FT_Pos  u, v;
    
    
            if ( on_edge )
            {
              u = point->u;
              if ( u < min_pos )
                min_pos = u;
              if ( u > max_pos )
                max_pos = u;
    
              if ( point->out_dir != segment_dir || point == last )
              {
                /* we are just leaving an edge; record a new segment! */
                segment->last = point;
                segment->pos  = (FT_Short)( ( min_pos + max_pos ) >> 1 );
    
                /* a segment is round if either its first or last point */
                /* is a control point                                   */
                if ( ( segment->first->flags | point->flags ) &
                     AF_FLAG_CONTROL                          )
                  segment->flags |= AF_EDGE_ROUND;
    
                /* compute segment size */
                min_pos = max_pos = point->v;
    
                v = segment->first->v;
                if ( v < min_pos )
                  min_pos = v;
                if ( v > max_pos )
                  max_pos = v;
    
                segment->min_coord = (FT_Short)min_pos;
                segment->max_coord = (FT_Short)max_pos;
                segment->height    = (FT_Short)( segment->max_coord -
                                                 segment->min_coord );
    
                on_edge = 0;
                segment = NULL;
                /* fallthrough */
              }
            }
    
            /* now exit if we are at the start/end point */
            if ( point == last )
            {
              if ( passed )
                break;
              passed = 1;
            }
    
            if ( !on_edge && FT_ABS( point->out_dir ) == major_dir )
            {
              /* this is the start of a new segment! */
              segment_dir = (AF_Direction)point->out_dir;
    
              /* clear all segment fields */
              error = af_axis_hints_new_segment( axis, memory, &segment );
              if ( error )
                goto Exit;
    
              segment[0]        = seg0;
              segment->dir      = (FT_Char)segment_dir;
              min_pos = max_pos = point->u;
              segment->first    = point;
              segment->last     = point;
              segment->contour  = contour;
              on_edge           = 1;
            }
    
            point = point->next;
          }
    
        } /* contours */
    
    
        /* now slightly increase the height of segments when this makes */
        /* sense -- this is used to better detect and ignore serifs     */
        {
          AF_Segment  segments     = axis->segments;
          AF_Segment  segments_end = segments + axis->num_segments;
    
    
          for ( segment = segments; segment < segments_end; segment++ )
          {
            AF_Point  first   = segment->first;
            AF_Point  last    = segment->last;
            FT_Pos    first_v = first->v;
            FT_Pos    last_v  = last->v;
    
    
            if ( first == last )
              continue;
    
            if ( first_v < last_v )
            {
              AF_Point  p;
    
    
              p = first->prev;
              if ( p->v < first_v )
                segment->height = (FT_Short)( segment->height +
                                              ( ( first_v - p->v ) >> 1 ) );
    
              p = last->next;
              if ( p->v > last_v )
                segment->height = (FT_Short)( segment->height +
                                              ( ( p->v - last_v ) >> 1 ) );
            }
            else
            {
              AF_Point  p;
    
    
              p = first->prev;
              if ( p->v > first_v )
                segment->height = (FT_Short)( segment->height +
                                              ( ( p->v - first_v ) >> 1 ) );
    
              p = last->next;
              if ( p->v < last_v )
                segment->height = (FT_Short)( segment->height +
                                              ( ( last_v - p->v ) >> 1 ) );
            }
          }
        }
    
      Exit:
        return error;
      }
    
    
      /* Link segments to form stems and serifs. */
    
      FT_LOCAL_DEF( void )
      af_latin_hints_link_segments( AF_GlyphHints  hints,
                                    AF_Dimension   dim )
      {
        AF_AxisHints  axis          = &hints->axis[dim];
        AF_Segment    segments      = axis->segments;
        AF_Segment    segment_limit = segments + axis->num_segments;
        FT_Pos        len_threshold, len_score;
        AF_Segment    seg1, seg2;
    
    
        len_threshold = AF_LATIN_CONSTANT( hints->metrics, 8 );
        if ( len_threshold == 0 )
          len_threshold = 1;
    
        len_score = AF_LATIN_CONSTANT( hints->metrics, 6000 );
    
        /* now compare each segment to the others */
        for ( seg1 = segments; seg1 < segment_limit; seg1++ )
        {
          /* the fake segments are introduced to hint the metrics -- */
          /* we must never link them to anything                     */
          if ( seg1->dir != axis->major_dir || seg1->first == seg1->last )
            continue;
    
          /* search for stems having opposite directions, */
          /* with seg1 to the `left' of seg2              */
          for ( seg2 = segments; seg2 < segment_limit; seg2++ )
          {
            FT_Pos  pos1 = seg1->pos;
            FT_Pos  pos2 = seg2->pos;
    
    
            if ( seg1->dir + seg2->dir == 0 && pos2 > pos1 )
            {
              /* compute distance between the two segments */
              FT_Pos  dist = pos2 - pos1;
              FT_Pos  min  = seg1->min_coord;
              FT_Pos  max  = seg1->max_coord;
              FT_Pos  len, score;
    
    
              if ( min < seg2->min_coord )
                min = seg2->min_coord;
    
              if ( max > seg2->max_coord )
                max = seg2->max_coord;
    
              /* compute maximum coordinate difference of the two segments */
              len = max - min;
              if ( len >= len_threshold )
              {
                /* small coordinate differences cause a higher score, and     */
                /* segments with a greater distance cause a higher score also */
                score = dist + len_score / len;
    
                /* and we search for the smallest score */
                /* of the sum of the two values         */
                if ( score < seg1->score )
                {
                  seg1->score = score;
                  seg1->link  = seg2;
                }
    
                if ( score < seg2->score )
                {
                  seg2->score = score;
                  seg2->link  = seg1;
                }
              }
            }
          }
        }
    
        /* now compute the `serif' segments, cf. explanations in `afhints.h' */
        for ( seg1 = segments; seg1 < segment_limit; seg1++ )
        {
          seg2 = seg1->link;
    
          if ( seg2 )
          {
            if ( seg2->link != seg1 )
            {
              seg1->link  = 0;
              seg1->serif = seg2->link;
            }
          }
        }
      }
    
    
      /* Link segments to edges, using feature analysis for selection. */
    
      FT_LOCAL_DEF( FT_Error )
      af_latin_hints_compute_edges( AF_GlyphHints  hints,
                                    AF_Dimension   dim )
      {
        AF_AxisHints  axis   = &hints->axis[dim];
        FT_Error      error  = AF_Err_Ok;
        FT_Memory     memory = hints->memory;
        AF_LatinAxis  laxis  = &((AF_LatinMetrics)hints->metrics)->axis[dim];
    
        AF_Segment    segments      = axis->segments;
        AF_Segment    segment_limit = segments + axis->num_segments;
        AF_Segment    seg;
    
        AF_Direction  up_dir;
        FT_Fixed      scale;
        FT_Pos        edge_distance_threshold;
        FT_Pos        segment_length_threshold;
    
    
        axis->num_edges = 0;
    
        scale = ( dim == AF_DIMENSION_HORZ ) ? hints->x_scale
                                             : hints->y_scale;
    
        up_dir = ( dim == AF_DIMENSION_HORZ ) ? AF_DIR_UP
                                              : AF_DIR_RIGHT;
    
        /*
         *  We ignore all segments that are less than 1 pixel in length
         *  to avoid many problems with serif fonts.  We compute the
         *  corresponding threshold in font units.
         */
        if ( dim == AF_DIMENSION_HORZ )
            segment_length_threshold = FT_DivFix( 64, hints->y_scale );
        else
            segment_length_threshold = 0;
    
        /*********************************************************************/
        /*                                                                   */
        /* We begin by generating a sorted table of edges for the current    */
        /* direction.  To do so, we simply scan each segment and try to find */
        /* an edge in our table that corresponds to its position.            */
        /*                                                                   */
        /* If no edge is found, we create and insert a new edge in the       */
        /* sorted table.  Otherwise, we simply add the segment to the edge's */
        /* list which gets processed in the second step to compute the       */
        /* edge's properties.                                                */
        /*                                                                   */
        /* Note that the table of edges is sorted along the segment/edge     */
        /* position.                                                         */
        /*                                                                   */
        /*********************************************************************/
    
        /* assure that edge distance threshold is at least 0.25px */
        edge_distance_threshold = FT_MulFix( laxis->edge_distance_threshold,
                                             scale );
        if ( edge_distance_threshold > 64 / 4 )
          edge_distance_threshold = 64 / 4;
    
        edge_distance_threshold = FT_DivFix( edge_distance_threshold,
                                             scale );
    
        for ( seg = segments; seg < segment_limit; seg++ )
        {
          AF_Edge  found = NULL;
          FT_Int   ee;
    
    
          if ( seg->height < segment_length_threshold )
            continue;
    
          /* A special case for serif edges: If they are smaller than */
          /* 1.5 pixels we ignore them.                               */
          if ( seg->serif                                     &&
               2 * seg->height < 3 * segment_length_threshold )
            continue;
    
          /* look for an edge corresponding to the segment */
          for ( ee = 0; ee < axis->num_edges; ee++ )
          {
            AF_Edge  edge = axis->edges + ee;
            FT_Pos   dist;
    
    
            dist = seg->pos - edge->fpos;
            if ( dist < 0 )
              dist = -dist;
    
            if ( dist < edge_distance_threshold && edge->dir == seg->dir )
            {
              found = edge;
              break;
            }
          }
    
          if ( !found )
          {
            AF_Edge  edge;
    
    
            /* insert a new edge in the list and */
            /* sort according to the position    */
            error = af_axis_hints_new_edge( axis, seg->pos,
                                            (AF_Direction)seg->dir,
                                            memory, &edge );
            if ( error )
              goto Exit;
    
            /* add the segment to the new edge's list */
            FT_ZERO( edge );
    
            edge->first    = seg;
            edge->last     = seg;
            edge->dir      = seg->dir;
            edge->fpos     = seg->pos;
            edge->opos     = FT_MulFix( seg->pos, scale );
            edge->pos      = edge->opos;
            seg->edge_next = seg;
          }
          else
          {
            /* if an edge was found, simply add the segment to the edge's */
            /* list                                                       */
            seg->edge_next         = found->first;
            found->last->edge_next = seg;
            found->last            = seg;
          }
        }
    
    
        /*********************************************************************/
        /*                                                                   */
        /* Good, we will now compute each edge's properties according to     */
        /* the segments found on its position.  Basically, these are         */
        /*                                                                   */
        /*  - the edge's main direction                                      */
        /*  - stem edge, serif edge or both (which defaults to stem then)    */
        /*  - rounded edge, straight or both (which defaults to straight)    */
        /*  - link for edge                                                  */
        /*                                                                   */
        /*********************************************************************/
    
        /* first of all, set the `edge' field in each segment -- this is */
        /* required in order to compute edge links                       */
    
        /*
         * Note that removing this loop and setting the `edge' field of each
         * segment directly in the code above slows down execution speed for
         * some reasons on platforms like the Sun.
         */
        {
          AF_Edge  edges      = axis->edges;
          AF_Edge  edge_limit = edges + axis->num_edges;
          AF_Edge  edge;
    
    
          for ( edge = edges; edge < edge_limit; edge++ )
          {
            seg = edge->first;
            if ( seg )
              do
              {
                seg->edge = edge;
                seg       = seg->edge_next;
    
              } while ( seg != edge->first );
          }
    
          /* now compute each edge properties */
          for ( edge = edges; edge < edge_limit; edge++ )
          {
            FT_Int  is_round    = 0;  /* does it contain round segments?    */
            FT_Int  is_straight = 0;  /* does it contain straight segments? */
    #if 0
            FT_Pos  ups         = 0;  /* number of upwards segments         */
            FT_Pos  downs       = 0;  /* number of downwards segments       */
    #endif
    
    
            seg = edge->first;
    
            do
            {
              FT_Bool  is_serif;
    
    
              /* check for roundness of segment */
              if ( seg->flags & AF_EDGE_ROUND )
                is_round++;
              else
                is_straight++;
    
    #if 0
              /* check for segment direction */
              if ( seg->dir == up_dir )
                ups   += seg->max_coord - seg->min_coord;
              else
                downs += seg->max_coord - seg->min_coord;
    #endif
    
              /* check for links -- if seg->serif is set, then seg->link must */
              /* be ignored                                                   */
              is_serif = (FT_Bool)( seg->serif               &&
                                    seg->serif->edge         &&
                                    seg->serif->edge != edge );
    
              if ( ( seg->link && seg->link->edge != NULL ) || is_serif )
              {
                AF_Edge     edge2;
                AF_Segment  seg2;
    
    
                edge2 = edge->link;
                seg2  = seg->link;
    
                if ( is_serif )
                {
                  seg2  = seg->serif;
                  edge2 = edge->serif;
                }
    
                if ( edge2 )
                {
                  FT_Pos  edge_delta;
                  FT_Pos  seg_delta;
    
    
                  edge_delta = edge->fpos - edge2->fpos;
                  if ( edge_delta < 0 )
                    edge_delta = -edge_delta;
    
                  seg_delta = seg->pos - seg2->pos;
                  if ( seg_delta < 0 )
                    seg_delta = -seg_delta;
    
                  if ( seg_delta < edge_delta )
                    edge2 = seg2->edge;
                }
                else
                  edge2 = seg2->edge;
    
                if ( is_serif )
                {
                  edge->serif   = edge2;
                  edge2->flags |= AF_EDGE_SERIF;
                }
                else
                  edge->link  = edge2;
              }
    
              seg = seg->edge_next;
    
            } while ( seg != edge->first );
    
            /* set the round/straight flags */
            edge->flags = AF_EDGE_NORMAL;
    
            if ( is_round > 0 && is_round >= is_straight )
              edge->flags |= AF_EDGE_ROUND;
    
    #if 0
            /* set the edge's main direction */
            edge->dir = AF_DIR_NONE;
    
            if ( ups > downs )
              edge->dir = (FT_Char)up_dir;
    
            else if ( ups < downs )
              edge->dir = (FT_Char)-up_dir;
    
            else if ( ups == downs )
              edge->dir = 0;  /* both up and down! */
    #endif
    
            /* get rid of serifs if link is set                 */
            /* XXX: This gets rid of many unpleasant artefacts! */
            /*      Example: the `c' in cour.pfa at size 13     */
    
            if ( edge->serif && edge->link )
              edge->serif = 0;
          }
        }
    
      Exit:
        return error;
      }
    
    
      /* Detect segments and edges for given dimension. */
    
      FT_LOCAL_DEF( FT_Error )
      af_latin_hints_detect_features( AF_GlyphHints  hints,
                                      AF_Dimension   dim )
      {
        FT_Error  error;
    
    
        error = af_latin_hints_compute_segments( hints, dim );
        if ( !error )
        {
          af_latin_hints_link_segments( hints, dim );
    
          error = af_latin_hints_compute_edges( hints, dim );
        }
    
        return error;
      }
    
    
      /* Compute all edges which lie within blue zones. */
    
      FT_LOCAL_DEF( void )
      af_latin_hints_compute_blue_edges( AF_GlyphHints    hints,
                                         AF_LatinMetrics  metrics )
      {
        AF_AxisHints  axis       = &hints->axis[AF_DIMENSION_VERT];
        AF_Edge       edge       = axis->edges;
        AF_Edge       edge_limit = edge + axis->num_edges;
        AF_LatinAxis  latin      = &metrics->axis[AF_DIMENSION_VERT];
        FT_Fixed      scale      = latin->scale;
    
    
        /* compute which blue zones are active, i.e. have their scaled */
        /* size < 3/4 pixels                                           */
    
        /* for each horizontal edge search the blue zone which is closest */
        for ( ; edge < edge_limit; edge++ )
        {
          FT_Int    bb;
          AF_Width  best_blue = NULL;
          FT_Pos    best_dist;  /* initial threshold */
    
    
          /* compute the initial threshold as a fraction of the EM size */
          /* (the value 40 is heuristic)                                */
          best_dist = FT_MulFix( metrics->units_per_em / 40, scale );
    
          /* assure a minimum distance of 0.5px */
          if ( best_dist > 64 / 2 )
            best_dist = 64 / 2;
    
          for ( bb = 0; bb < AF_LATIN_BLUE_MAX; bb++ )
          {
            AF_LatinBlue  blue = latin->blues + bb;
            FT_Bool       is_top_blue, is_major_dir;
    
    
            /* skip inactive blue zones (i.e., those that are too large) */
            if ( !( blue->flags & AF_LATIN_BLUE_ACTIVE ) )
              continue;
    
            /* if it is a top zone, check for right edges -- if it is a bottom */
            /* zone, check for left edges                                      */
            /*                                                                 */
            /* of course, that's for TrueType                                  */
            is_top_blue  = (FT_Byte)( ( blue->flags & AF_LATIN_BLUE_TOP ) != 0 );
            is_major_dir = FT_BOOL( edge->dir == axis->major_dir );
    
            /* if it is a top zone, the edge must be against the major    */
            /* direction; if it is a bottom zone, it must be in the major */
            /* direction                                                  */
            if ( is_top_blue ^ is_major_dir )
            {
              FT_Pos  dist;
    
    
              /* first of all, compare it to the reference position */
              dist = edge->fpos - blue->ref.org;
              if ( dist < 0 )
                dist = -dist;
    
              dist = FT_MulFix( dist, scale );
              if ( dist < best_dist )
              {
                best_dist = dist;
                best_blue = &blue->ref;
              }
    
              /* now compare it to the overshoot position and check whether */
              /* the edge is rounded, and whether the edge is over the      */
              /* reference position of a top zone, or under the reference   */
              /* position of a bottom zone                                  */
              if ( edge->flags & AF_EDGE_ROUND && dist != 0 )
              {
                FT_Bool  is_under_ref = FT_BOOL( edge->fpos < blue->ref.org );
    
    
                if ( is_top_blue ^ is_under_ref )
                {
                  dist = edge->fpos - blue->shoot.org;
                  if ( dist < 0 )
                    dist = -dist;
    
                  dist = FT_MulFix( dist, scale );
                  if ( dist < best_dist )
                  {
                    best_dist = dist;
                    best_blue = &blue->shoot;
                  }
                }
              }
            }
          }
    
          if ( best_blue )
            edge->blue_edge = best_blue;
        }
      }
    
    
      /* Initalize hinting engine. */
    
      static FT_Error
      af_latin_hints_init( AF_GlyphHints    hints,
                           AF_LatinMetrics  metrics )
      {
        FT_Render_Mode  mode;
        FT_UInt32       scaler_flags, other_flags;
        FT_Face         face = metrics->root.scaler.face;
    
    
        af_glyph_hints_rescale( hints, (AF_ScriptMetrics)metrics );
    
        /*
         *  correct x_scale and y_scale if needed, since they may have
         *  been modified by `af_latin_metrics_scale_dim' above
         */
        hints->x_scale = metrics->axis[AF_DIMENSION_HORZ].scale;
        hints->x_delta = metrics->axis[AF_DIMENSION_HORZ].delta;
        hints->y_scale = metrics->axis[AF_DIMENSION_VERT].scale;
        hints->y_delta = metrics->axis[AF_DIMENSION_VERT].delta;
    
        /* compute flags depending on render mode, etc. */
        mode = metrics->root.scaler.render_mode;
    
    #if 0 /* #ifdef AF_CONFIG_OPTION_USE_WARPER */
        if ( mode == FT_RENDER_MODE_LCD || mode == FT_RENDER_MODE_LCD_V )
        {
          metrics->root.scaler.render_mode = mode = FT_RENDER_MODE_NORMAL;
        }
    #endif
    
        scaler_flags = hints->scaler_flags;
        other_flags  = 0;
    
        /*
         *  We snap the width of vertical stems for the monochrome and
         *  horizontal LCD rendering targets only.
         */
        if ( mode == FT_RENDER_MODE_MONO || mode == FT_RENDER_MODE_LCD )
          other_flags |= AF_LATIN_HINTS_HORZ_SNAP;
    
        /*
         *  We snap the width of horizontal stems for the monochrome and
         *  vertical LCD rendering targets only.
         */
        if ( mode == FT_RENDER_MODE_MONO || mode == FT_RENDER_MODE_LCD_V )
          other_flags |= AF_LATIN_HINTS_VERT_SNAP;
    
        /*
         *  We adjust stems to full pixels only if we don't use the `light' mode.
         */
        if ( mode != FT_RENDER_MODE_LIGHT )
          other_flags |= AF_LATIN_HINTS_STEM_ADJUST;
    
        if ( mode == FT_RENDER_MODE_MONO )
          other_flags |= AF_LATIN_HINTS_MONO;
    
        /*
         *  In `light' hinting mode we disable horizontal hinting completely.
         *  We also do it if the face is italic.
         */
        if ( mode == FT_RENDER_MODE_LIGHT                      ||
             ( face->style_flags & FT_STYLE_FLAG_ITALIC ) != 0 )
          scaler_flags |= AF_SCALER_FLAG_NO_HORIZONTAL;
    
        hints->scaler_flags = scaler_flags;
        hints->other_flags  = other_flags;
    
        return AF_Err_Ok;
      }
    
    
      /*************************************************************************/
      /*************************************************************************/
      /*****                                                               *****/
      /*****        L A T I N   G L Y P H   G R I D - F I T T I N G        *****/
      /*****                                                               *****/
      /*************************************************************************/
      /*************************************************************************/
    
      /* Snap a given width in scaled coordinates to one of the */
      /* current standard widths.                               */
    
      static FT_Pos
      af_latin_snap_width( AF_Width  widths,
                           FT_Int    count,
                           FT_Pos    width )
      {
        int     n;
        FT_Pos  best      = 64 + 32 + 2;
        FT_Pos  reference = width;
        FT_Pos  scaled;
    
    
        for ( n = 0; n < count; n++ )
        {
          FT_Pos  w;
          FT_Pos  dist;
    
    
          w = widths[n].cur;
          dist = width - w;
          if ( dist < 0 )
            dist = -dist;
          if ( dist < best )
          {
            best      = dist;
            reference = w;
          }
        }
    
        scaled = FT_PIX_ROUND( reference );
    
        if ( width >= reference )
        {
          if ( width < scaled + 48 )
            width = reference;
        }
        else
        {
          if ( width > scaled - 48 )
            width = reference;
        }
    
        return width;
      }
    
    
      /* Compute the snapped width of a given stem, ignoring very thin ones. */
      /* There is a lot of voodoo in this function; changing the hard-coded  */
      /* parameters influence the whole hinting process.                     */
    
      static FT_Pos
      af_latin_compute_stem_width( AF_GlyphHints  hints,
                                   AF_Dimension   dim,
                                   FT_Pos         width,
                                   AF_Edge_Flags  base_flags,
                                   AF_Edge_Flags  stem_flags )
      {
        AF_LatinMetrics  metrics  = (AF_LatinMetrics) hints->metrics;
        AF_LatinAxis     axis     = & metrics->axis[dim];
        FT_Pos           dist     = width;
        FT_Int           sign     = 0;
        FT_Int           vertical = ( dim == AF_DIMENSION_VERT );
    
    
        if ( !AF_LATIN_HINTS_DO_STEM_ADJUST( hints ) ||
             axis->extra_light                       )
          return width;
    
        if ( dist < 0 )
        {
          dist = -width;
          sign = 1;
        }
    
        if ( (  vertical && !AF_LATIN_HINTS_DO_VERT_SNAP( hints ) ) ||
             ( !vertical && !AF_LATIN_HINTS_DO_HORZ_SNAP( hints ) ) )
        {
          /* smooth hinting process: very lightly quantize the stem width */
    
          /* leave the widths of serifs alone */
          if ( ( stem_flags & AF_EDGE_SERIF ) &&
               vertical                       &&
               ( dist < 3 * 64 )              )
            goto Done_Width;
    
          else if ( base_flags & AF_EDGE_ROUND )
          {
            if ( dist < 80 )
              dist = 64;
          }
          else if ( dist < 56 )
            dist = 56;
    
          if ( axis->width_count > 0 )
          {
            FT_Pos  delta;
    
    
            /* compare to standard width */
            delta = dist - axis->widths[0].cur;
    
            if ( delta < 0 )
              delta = -delta;
    
            if ( delta < 40 )
            {
              dist = axis->widths[0].cur;
              if ( dist < 48 )
                dist = 48;
    
              goto Done_Width;
            }
    
            if ( dist < 3 * 64 )
            {
              delta  = dist & 63;
              dist  &= -64;
    
              if ( delta < 10 )
                dist += delta;
    
              else if ( delta < 32 )
                dist += 10;
    
              else if ( delta < 54 )
                dist += 54;
    
              else
                dist += delta;
            }
            else
              dist = ( dist + 32 ) & ~63;
          }
        }
        else
        {
          /* strong hinting process: snap the stem width to integer pixels */
    
          FT_Pos  org_dist = dist;
    
    
          dist = af_latin_snap_width( axis->widths, axis->width_count, dist );
    
          if ( vertical )
          {
            /* in the case of vertical hinting, always round */
            /* the stem heights to integer pixels            */
    
            if ( dist >= 64 )
              dist = ( dist + 16 ) & ~63;
            else
              dist = 64;
          }
          else
          {
            if ( AF_LATIN_HINTS_DO_MONO( hints ) )
            {
              /* monochrome horizontal hinting: snap widths to integer pixels */
              /* with a different threshold                                   */
    
              if ( dist < 64 )
                dist = 64;
              else
                dist = ( dist + 32 ) & ~63;
            }
            else
            {
              /* for horizontal anti-aliased hinting, we adopt a more subtle */
              /* approach: we strengthen small stems, round stems whose size */
              /* is between 1 and 2 pixels to an integer, otherwise nothing  */
    
              if ( dist < 48 )
                dist = ( dist + 64 ) >> 1;
    
              else if ( dist < 128 )
              {
                /* We only round to an integer width if the corresponding */
                /* distortion is less than 1/4 pixel.  Otherwise this     */
                /* makes everything worse since the diagonals, which are  */
                /* not hinted, appear a lot bolder or thinner than the    */
                /* vertical stems.                                        */
    
                FT_Pos  delta;
    
    
                dist = ( dist + 22 ) & ~63;
                delta = dist - org_dist;
                if ( delta < 0 )
                  delta = -delta;
    
                if (delta >= 16)
                {
                  dist = org_dist;
                  if ( dist < 48 )
                    dist = ( dist + 64 ) >> 1;
                }
              }
              else
                /* round otherwise to prevent color fringes in LCD mode */
                dist = ( dist + 32 ) & ~63;
            }
          }
        }
    
      Done_Width:
        if ( sign )
          dist = -dist;
    
        return dist;
      }
    
    
      /* Align one stem edge relative to the previous stem edge. */
    
      static void
      af_latin_align_linked_edge( AF_GlyphHints  hints,
                                  AF_Dimension   dim,
                                  AF_Edge        base_edge,
                                  AF_Edge        stem_edge )
      {
        FT_Pos  dist = stem_edge->opos - base_edge->opos;
    
        FT_Pos  fitted_width = af_latin_compute_stem_width(
                                 hints, dim, dist,
                                 (AF_Edge_Flags)base_edge->flags,
                                 (AF_Edge_Flags)stem_edge->flags );
    
    
        stem_edge->pos = base_edge->pos + fitted_width;
    
        AF_LOG(( "LINK: edge %d (opos=%.2f) linked to (%.2f),"
                 " dist was %.2f, now %.2f\n",
                 stem_edge-hints->axis[dim].edges, stem_edge->opos / 64.0,
                 stem_edge->pos / 64.0, dist / 64.0, fitted_width / 64.0 ));
      }
    
    
      /* Shift the coordinates of the `serif' edge by the same amount */
      /* as the corresponding `base' edge has been moved already.     */
    
      static void
      af_latin_align_serif_edge( AF_GlyphHints  hints,
                                 AF_Edge        base,
                                 AF_Edge        serif )
      {
        FT_UNUSED( hints );
    
        serif->pos = base->pos + ( serif->opos - base->opos );
      }
    
    
      /*************************************************************************/
      /*************************************************************************/
      /*************************************************************************/
      /****                                                                 ****/
      /****                    E D G E   H I N T I N G                      ****/
      /****                                                                 ****/
      /*************************************************************************/
      /*************************************************************************/
      /*************************************************************************/
    
    
      /* The main grid-fitting routine. */
    
      FT_LOCAL_DEF( void )
      af_latin_hint_edges( AF_GlyphHints  hints,
                           AF_Dimension   dim )
      {
        AF_AxisHints  axis       = &hints->axis[dim];
        AF_Edge       edges      = axis->edges;
        AF_Edge       edge_limit = edges + axis->num_edges;
        FT_PtrDist    n_edges;
        AF_Edge       edge;
        AF_Edge       anchor     = NULL;
        FT_Int        has_serifs = 0;
    
    
        /* we begin by aligning all stems relative to the blue zone */
        /* if needed -- that's only for horizontal edges            */
    
        if ( dim == AF_DIMENSION_VERT && AF_HINTS_DO_BLUES( hints ) )
        {
          for ( edge = edges; edge < edge_limit; edge++ )
          {
            AF_Width  blue;
            AF_Edge   edge1, edge2;
    
    
            if ( edge->flags & AF_EDGE_DONE )
              continue;
    
            blue  = edge->blue_edge;
            edge1 = NULL;
            edge2 = edge->link;
    
            if ( blue )
              edge1 = edge;
    
            else if ( edge2 && edge2->blue_edge )
            {
              blue  = edge2->blue_edge;
              edge1 = edge2;
              edge2 = edge;
            }
    
            if ( !edge1 )
              continue;
    
            AF_LOG(( "BLUE: edge %d (opos=%.2f) snapped to (%.2f),"
                     " was (%.2f)\n",
                     edge1 - edges, edge1->opos / 64.0, blue->fit / 64.0,
                     edge1->pos / 64.0 ));
    
            edge1->pos    = blue->fit;
            edge1->flags |= AF_EDGE_DONE;
    
            if ( edge2 && !edge2->blue_edge )
            {
              af_latin_align_linked_edge( hints, dim, edge1, edge2 );
              edge2->flags |= AF_EDGE_DONE;
            }
    
            if ( !anchor )
              anchor = edge;
          }
        }
    
        /* now we align all stem edges, trying to maintain the */
        /* relative order of stems in the glyph                */
        for ( edge = edges; edge < edge_limit; edge++ )
        {
          AF_Edge  edge2;
    
    
          if ( edge->flags & AF_EDGE_DONE )
            continue;
    
          /* skip all non-stem edges */
          edge2 = edge->link;
          if ( !edge2 )
          {
            has_serifs++;
            continue;
          }
    
          /* now align the stem */
    
          /* this should not happen, but it's better to be safe */
          if ( edge2->blue_edge )
          {
            AF_LOG(( "ASSERTION FAILED for edge %d\n", edge2-edges ));
    
            af_latin_align_linked_edge( hints, dim, edge2, edge );
            edge->flags |= AF_EDGE_DONE;
            continue;
          }
    
          if ( !anchor )
          {
            FT_Pos  org_len, org_center, cur_len;
            FT_Pos  cur_pos1, error1, error2, u_off, d_off;
    
    
            org_len = edge2->opos - edge->opos;
            cur_len = af_latin_compute_stem_width(
                        hints, dim, org_len,
                        (AF_Edge_Flags)edge->flags,
                        (AF_Edge_Flags)edge2->flags );
    
            /* some voodoo to specially round edges for small stem widths */
            if ( cur_len <= 64 )
            {
              u_off = 32;
              d_off = 32;
            }
            else
            {
              u_off = 38;
              d_off = 26;
            }
    
            if ( cur_len < 96 )
            {
              org_center = edge->opos + ( org_len >> 1 );
              cur_pos1   = FT_PIX_ROUND( org_center );
    
              error1 = org_center - ( cur_pos1 - u_off );
              if ( error1 < 0 )
                error1 = -error1;
    
              error2 = org_center - ( cur_pos1 + d_off );
              if ( error2 < 0 )
                error2 = -error2;
    
              if ( error1 < error2 )
                cur_pos1 -= u_off;
              else
                cur_pos1 += d_off;
    
              edge->pos  = cur_pos1 - cur_len / 2;
              edge2->pos = edge->pos + cur_len;
            }
            else
              edge->pos = FT_PIX_ROUND( edge->opos );
    
            AF_LOG(( "ANCHOR: edge %d (opos=%.2f) and %d (opos=%.2f)"
                     " snapped to (%.2f) (%.2f)\n",
                     edge - edges, edge->opos / 64.0,
                     edge2 - edges, edge2->opos / 64.0,
                     edge->pos / 64.0, edge2->pos / 64.0 ));
            anchor = edge;
    
            edge->flags |= AF_EDGE_DONE;
    
            af_latin_align_linked_edge( hints, dim, edge, edge2 );
          }
          else
          {
            FT_Pos  org_pos, org_len, org_center, cur_len;
            FT_Pos  cur_pos1, cur_pos2, delta1, delta2;
    
    
            org_pos    = anchor->pos + ( edge->opos - anchor->opos );
            org_len    = edge2->opos - edge->opos;
            org_center = org_pos + ( org_len >> 1 );
    
            cur_len = af_latin_compute_stem_width(
                        hints, dim, org_len,
                        (AF_Edge_Flags)edge->flags,
                        (AF_Edge_Flags)edge2->flags );
    
            if ( edge2->flags & AF_EDGE_DONE )
              edge->pos = edge2->pos - cur_len;
    
            else if ( cur_len < 96 )
            {
              FT_Pos  u_off, d_off;
    
    
              cur_pos1 = FT_PIX_ROUND( org_center );
    
              if (cur_len <= 64 )
              {
                u_off = 32;
                d_off = 32;
              }
              else
              {
                u_off = 38;
                d_off = 26;
              }
    
              delta1 = org_center - ( cur_pos1 - u_off );
              if ( delta1 < 0 )
                delta1 = -delta1;
    
              delta2 = org_center - ( cur_pos1 + d_off );
              if ( delta2 < 0 )
                delta2 = -delta2;
    
              if ( delta1 < delta2 )
                cur_pos1 -= u_off;
              else
                cur_pos1 += d_off;
    
              edge->pos  = cur_pos1 - cur_len / 2;
              edge2->pos = cur_pos1 + cur_len / 2;
    
              AF_LOG(( "STEM: %d (opos=%.2f) to %d (opos=%.2f)"
                       " snapped to (%.2f) and (%.2f)\n",
                       edge - edges, edge->opos / 64.0,
                       edge2 - edges, edge2->opos / 64.0,
                       edge->pos / 64.0, edge2->pos / 64.0 ));
            }
            else
            {
              org_pos    = anchor->pos + ( edge->opos - anchor->opos );
              org_len    = edge2->opos - edge->opos;
              org_center = org_pos + ( org_len >> 1 );
    
              cur_len    = af_latin_compute_stem_width(
                             hints, dim, org_len,
                             (AF_Edge_Flags)edge->flags,
                             (AF_Edge_Flags)edge2->flags );
    
              cur_pos1 = FT_PIX_ROUND( org_pos );
              delta1   = cur_pos1 + ( cur_len >> 1 ) - org_center;
              if ( delta1 < 0 )
                delta1 = -delta1;
    
              cur_pos2 = FT_PIX_ROUND( org_pos + org_len ) - cur_len;
              delta2   = cur_pos2 + ( cur_len >> 1 ) - org_center;
              if ( delta2 < 0 )
                delta2 = -delta2;
    
              edge->pos  = ( delta1 < delta2 ) ? cur_pos1 : cur_pos2;
              edge2->pos = edge->pos + cur_len;
    
              AF_LOG(( "STEM: %d (opos=%.2f) to %d (opos=%.2f)"
                       " snapped to (%.2f) and (%.2f)\n",
                       edge - edges, edge->opos / 64.0,
                       edge2 - edges, edge2->opos / 64.0,
                       edge->pos / 64.0, edge2->pos / 64.0 ));
            }
    
            edge->flags  |= AF_EDGE_DONE;
            edge2->flags |= AF_EDGE_DONE;
    
            if ( edge > edges && edge->pos < edge[-1].pos )
            {
              AF_LOG(( "BOUND: %d (pos=%.2f) to (%.2f)\n",
                       edge - edges, edge->pos / 64.0, edge[-1].pos / 64.0 ));
              edge->pos = edge[-1].pos;
            }
          }
        }
    
        /* make sure that lowercase m's maintain their symmetry */
    
        /* In general, lowercase m's have six vertical edges if they are sans */
        /* serif, or twelve if they are with serifs.  This implementation is  */
        /* based on that assumption, and seems to work very well with most    */
        /* faces.  However, if for a certain face this assumption is not      */
        /* true, the m is just rendered like before.  In addition, any stem   */
        /* correction will only be applied to symmetrical glyphs (even if the */
        /* glyph is not an m), so the potential for unwanted distortion is    */
        /* relatively low.                                                    */
    
        /* We don't handle horizontal edges since we can't easily assure that */
        /* the third (lowest) stem aligns with the base line; it might end up */
        /* one pixel higher or lower.                                         */
    
        n_edges = edge_limit - edges;
        if ( dim == AF_DIMENSION_HORZ && ( n_edges == 6 || n_edges == 12 ) )
        {
          AF_Edge  edge1, edge2, edge3;
          FT_Pos   dist1, dist2, span, delta;
    
    
          if ( n_edges == 6 )
          {
            edge1 = edges;
            edge2 = edges + 2;
            edge3 = edges + 4;
          }
          else
          {
            edge1 = edges + 1;
            edge2 = edges + 5;
            edge3 = edges + 9;
          }
    
          dist1 = edge2->opos - edge1->opos;
          dist2 = edge3->opos - edge2->opos;
    
          span = dist1 - dist2;
          if ( span < 0 )
            span = -span;
    
          if ( span < 8 )
          {
            delta = edge3->pos - ( 2 * edge2->pos - edge1->pos );
            edge3->pos -= delta;
            if ( edge3->link )
              edge3->link->pos -= delta;
    
            /* move the serifs along with the stem */
            if ( n_edges == 12 )
            {
              ( edges + 8 )->pos -= delta;
              ( edges + 11 )->pos -= delta;
            }
    
            edge3->flags |= AF_EDGE_DONE;
            if ( edge3->link )
              edge3->link->flags |= AF_EDGE_DONE;
          }
        }
    
        if ( has_serifs || !anchor )
        {
          /*
           *  now hint the remaining edges (serifs and single) in order
           *  to complete our processing
           */
          for ( edge = edges; edge < edge_limit; edge++ )
          {
            FT_Pos  delta;
    
    
            if ( edge->flags & AF_EDGE_DONE )
              continue;
    
            delta = 1000;
    
            if ( edge->serif )
            {
              delta = edge->serif->opos - edge->opos;
              if ( delta < 0 )
                delta = -delta;
            }
    
            if ( delta < 64 + 16 )
            {
              af_latin_align_serif_edge( hints, edge->serif, edge );
              AF_LOG(( "SERIF: edge %d (opos=%.2f) serif to %d (opos=%.2f)"
                       " aligned to (%.2f)\n",
                       edge - edges, edge->opos / 64.0,
                       edge->serif - edges, edge->serif->opos / 64.0,
                       edge->pos / 64.0 ));
            }
            else if ( !anchor )
            {
              AF_LOG(( "SERIF_ANCHOR: edge %d (opos=%.2f) snapped to (%.2f)\n",
                       edge-edges, edge->opos / 64.0, edge->pos / 64.0 ));
              edge->pos = FT_PIX_ROUND( edge->opos );
              anchor    = edge;
            }
            else
            {
              AF_Edge  before, after;
    
    
              for ( before = edge - 1; before >= edges; before-- )
                if ( before->flags & AF_EDGE_DONE )
                  break;
    
              for ( after = edge + 1; after < edge_limit; after++ )
                if ( after->flags & AF_EDGE_DONE )
                  break;
    
              if ( before >= edges && before < edge   &&
                   after < edge_limit && after > edge )
              {
                if ( after->opos == before->opos )
                  edge->pos = before->pos;
                else
                  edge->pos = before->pos +
                              FT_MulDiv( edge->opos - before->opos,
                                         after->pos - before->pos,
                                         after->opos - before->opos );
    
                AF_LOG(( "SERIF_LINK1: edge %d (opos=%.2f) snapped to (%.2f)"
                         " from %d (opos=%.2f)\n",
                         edge - edges, edge->opos / 64.0,
                         edge->pos / 64.0,
                         before - edges, before->opos / 64.0 ));
              }
              else
              {
                edge->pos = anchor->pos +
                            ( ( edge->opos - anchor->opos + 16 ) & ~31 );
    
                AF_LOG(( "SERIF_LINK2: edge %d (opos=%.2f) snapped to (%.2f)\n",
                         edge - edges, edge->opos / 64.0, edge->pos / 64.0 ));
              }
            }
    
            edge->flags |= AF_EDGE_DONE;
    
            if ( edge > edges && edge->pos < edge[-1].pos )
              edge->pos = edge[-1].pos;
    
            if ( edge + 1 < edge_limit        &&
                 edge[1].flags & AF_EDGE_DONE &&
                 edge->pos > edge[1].pos      )
              edge->pos = edge[1].pos;
          }
        }
      }
    
    
      /* Apply the complete hinting algorithm to a latin glyph. */
    
      static FT_Error
      af_latin_hints_apply( AF_GlyphHints    hints,
                            FT_Outline*      outline,
                            AF_LatinMetrics  metrics )
      {
        FT_Error  error;
        int       dim;
    
    
        error = af_glyph_hints_reload( hints, outline );
        if ( error )
          goto Exit;
    
        /* analyze glyph outline */
    #ifdef AF_CONFIG_OPTION_USE_WARPER
        if ( metrics->root.scaler.render_mode == FT_RENDER_MODE_LIGHT ||
             AF_HINTS_DO_HORIZONTAL( hints )                          )
    #else
        if ( AF_HINTS_DO_HORIZONTAL( hints ) )
    #endif
        {
          error = af_latin_hints_detect_features( hints, AF_DIMENSION_HORZ );
          if ( error )
            goto Exit;
        }
    
        if ( AF_HINTS_DO_VERTICAL( hints ) )
        {
          error = af_latin_hints_detect_features( hints, AF_DIMENSION_VERT );
          if ( error )
            goto Exit;
    
          af_latin_hints_compute_blue_edges( hints, metrics );
        }
    
        /* grid-fit the outline */
        for ( dim = 0; dim < AF_DIMENSION_MAX; dim++ )
        {
    #ifdef AF_CONFIG_OPTION_USE_WARPER
          if ( dim == AF_DIMENSION_HORZ                                 &&
               metrics->root.scaler.render_mode == FT_RENDER_MODE_LIGHT )
          {
            AF_WarperRec  warper;
            FT_Fixed      scale;
            FT_Pos        delta;
    
    
            af_warper_compute( &warper, hints, (AF_Dimension)dim,
                               &scale, &delta );
            af_glyph_hints_scale_dim( hints, (AF_Dimension)dim,
                                      scale, delta );
            continue;
          }
    #endif
    
          if ( ( dim == AF_DIMENSION_HORZ && AF_HINTS_DO_HORIZONTAL( hints ) ) ||
               ( dim == AF_DIMENSION_VERT && AF_HINTS_DO_VERTICAL( hints ) )   )
          {
            af_latin_hint_edges( hints, (AF_Dimension)dim );
            af_glyph_hints_align_edge_points( hints, (AF_Dimension)dim );
            af_glyph_hints_align_strong_points( hints, (AF_Dimension)dim );
            af_glyph_hints_align_weak_points( hints, (AF_Dimension)dim );
          }
        }
        af_glyph_hints_save( hints, outline );
    
      Exit:
        return error;
      }
    
    
      /*************************************************************************/
      /*************************************************************************/
      /*****                                                               *****/
      /*****              L A T I N   S C R I P T   C L A S S              *****/
      /*****                                                               *****/
      /*************************************************************************/
      /*************************************************************************/
    
    
      /* XXX: this should probably fine tuned to differentiate better between */
      /*      scripts...                                                      */
    
      static const AF_Script_UniRangeRec  af_latin_uniranges[] =
      {
        AF_UNIRANGE_REC(  0x0020UL,  0x007FUL ),  /* Basic Latin (no control chars) */
        AF_UNIRANGE_REC(  0x00A0UL,  0x00FFUL ),  /* Latin-1 Supplement (no control chars) */
        AF_UNIRANGE_REC(  0x0100UL,  0x017FUL ),  /* Latin Extended-A */
        AF_UNIRANGE_REC(  0x0180UL,  0x024FUL ),  /* Latin Extended-B */
        AF_UNIRANGE_REC(  0x0250UL,  0x02AFUL ),  /* IPA Extensions */
        AF_UNIRANGE_REC(  0x02B0UL,  0x02FFUL ),  /* Spacing Modifier Letters */
        AF_UNIRANGE_REC(  0x0300UL,  0x036FUL ),  /* Combining Diacritical Marks */
        AF_UNIRANGE_REC(  0x0370UL,  0x03FFUL ),  /* Greek and Coptic */
        AF_UNIRANGE_REC(  0x0400UL,  0x04FFUL ),  /* Cyrillic */
        AF_UNIRANGE_REC(  0x0500UL,  0x052FUL ),  /* Cyrillic Supplement */
        AF_UNIRANGE_REC(  0x1D00UL,  0x1D7FUL ),  /* Phonetic Extensions */
        AF_UNIRANGE_REC(  0x1D80UL,  0x1DBFUL ),  /* Phonetic Extensions Supplement */
        AF_UNIRANGE_REC(  0x1DC0UL,  0x1DFFUL ),  /* Combining Diacritical Marks Supplement */
        AF_UNIRANGE_REC(  0x1E00UL,  0x1EFFUL ),  /* Latin Extended Additional */
        AF_UNIRANGE_REC(  0x1F00UL,  0x1FFFUL ),  /* Greek Extended */
        AF_UNIRANGE_REC(  0x2000UL,  0x206FUL ),  /* General Punctuation */
        AF_UNIRANGE_REC(  0x2070UL,  0x209FUL ),  /* Superscripts and Subscripts */
        AF_UNIRANGE_REC(  0x20A0UL,  0x20CFUL ),  /* Currency Symbols */
        AF_UNIRANGE_REC(  0x2150UL,  0x218FUL ),  /* Number Forms */
        AF_UNIRANGE_REC(  0x2460UL,  0x24FFUL ),  /* Enclosed Alphanumerics */
        AF_UNIRANGE_REC(  0x2C60UL,  0x2C7FUL ),  /* Latin Extended-C */
        AF_UNIRANGE_REC(  0x2DE0UL,  0x2DFFUL ),  /* Cyrillic Extended-A */
        AF_UNIRANGE_REC(  0xA640UL,  0xA69FUL ),  /* Cyrillic Extended-B */
        AF_UNIRANGE_REC(  0xA720UL,  0xA7FFUL ),  /* Latin Extended-D */
        AF_UNIRANGE_REC(  0xFB00UL,  0xFB06UL ),  /* Alphab. Present. Forms (Latin Ligs) */
        AF_UNIRANGE_REC( 0x1D400UL, 0x1D7FFUL ),  /* Mathematical Alphanumeric Symbols */
        AF_UNIRANGE_REC(       0UL,       0UL )
      };
    
    
      AF_DEFINE_SCRIPT_CLASS(af_latin_script_class,
        AF_SCRIPT_LATIN,
        af_latin_uniranges,
    
        sizeof( AF_LatinMetricsRec ),
    
        (AF_Script_InitMetricsFunc) af_latin_metrics_init,
        (AF_Script_ScaleMetricsFunc)af_latin_metrics_scale,
        (AF_Script_DoneMetricsFunc) NULL,
    
        (AF_Script_InitHintsFunc)   af_latin_hints_init,
        (AF_Script_ApplyHintsFunc)  af_latin_hints_apply
      )
    
    
    /* END */