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

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  • Author : Werner Lemberg
    Date : 2020-06-13 21:15:45
    Hash : 16586859
    Message : Remove redundant inclusion of `ft2build.h'. * */*: Remove `#include <ft2build.h>' where possible. * include/freetype/freetype.h: Remove cpp error about missing inclusion of `ft2build.h'.

  • src/autofit/afcjk.c
  • /****************************************************************************
     *
     * afcjk.c
     *
     *   Auto-fitter hinting routines for CJK writing system (body).
     *
     * Copyright (C) 2006-2020 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.
     *
     */
    
      /*
       * The algorithm is based on akito's autohint patch, archived at
       *
       * https://web.archive.org/web/20051219160454/http://www.kde.gr.jp:80/~akito/patch/freetype2/2.1.7/
       *
       */
    
    #include <freetype/ftadvanc.h>
    #include <freetype/internal/ftdebug.h>
    
    #include "afglobal.h"
    #include "aflatin.h"
    #include "afcjk.h"
    
    
    #ifdef AF_CONFIG_OPTION_CJK
    
    #undef AF_CONFIG_OPTION_CJK_BLUE_HANI_VERT
    
    #include "aferrors.h"
    
    
    #ifdef AF_CONFIG_OPTION_USE_WARPER
    #include "afwarp.h"
    #endif
    
    
      /**************************************************************************
       *
       * The macro FT_COMPONENT is used in trace mode.  It is an implicit
       * parameter of the FT_TRACE() and FT_ERROR() macros, used to print/log
       * messages during execution.
       */
    #undef  FT_COMPONENT
    #define FT_COMPONENT  afcjk
    
    
      /*************************************************************************/
      /*************************************************************************/
      /*****                                                               *****/
      /*****              C J K   G L O B A L   M E T R I C S              *****/
      /*****                                                               *****/
      /*************************************************************************/
      /*************************************************************************/
    
    
      /* Basically the Latin version with AF_CJKMetrics */
      /* to replace AF_LatinMetrics.                    */
    
      FT_LOCAL_DEF( void )
      af_cjk_metrics_init_widths( AF_CJKMetrics  metrics,
                                  FT_Face        face )
      {
        /* scan the array of segments in each direction */
        AF_GlyphHintsRec  hints[1];
    
    
        FT_TRACE5(( "\n"
                    "cjk standard widths computation (style `%s')\n"
                    "===================================================\n"
                    "\n",
                    af_style_names[metrics->root.style_class->style] ));
    
        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_ULong          glyph_index;
          int               dim;
          AF_CJKMetricsRec  dummy[1];
          AF_Scaler         scaler = &dummy->root.scaler;
    
          AF_StyleClass   style_class  = metrics->root.style_class;
          AF_ScriptClass  script_class = af_script_classes[style_class->script];
    
          /* If HarfBuzz is not available, we need a pointer to a single */
          /* unsigned long value.                                        */
    #ifdef FT_CONFIG_OPTION_USE_HARFBUZZ
          void*     shaper_buf;
    #else
          FT_ULong  shaper_buf_;
          void*     shaper_buf = &shaper_buf_;
    #endif
    
          const char*  p;
    
    #ifdef FT_DEBUG_LEVEL_TRACE
          FT_ULong  ch = 0;
    #endif
    
          p = script_class->standard_charstring;
    
    #ifdef FT_CONFIG_OPTION_USE_HARFBUZZ
          shaper_buf = af_shaper_buf_create( face );
    #endif
    
          /* We check a list of standard characters.  The first match wins. */
    
          glyph_index = 0;
          while ( *p )
          {
            unsigned int  num_idx;
    
    #ifdef FT_DEBUG_LEVEL_TRACE
            const char*  p_old;
    #endif
    
    
            while ( *p == ' ' )
              p++;
    
    #ifdef FT_DEBUG_LEVEL_TRACE
            p_old = p;
            GET_UTF8_CHAR( ch, p_old );
    #endif
    
            /* reject input that maps to more than a single glyph */
            p = af_shaper_get_cluster( p, &metrics->root, shaper_buf, &num_idx );
            if ( num_idx > 1 )
              continue;
    
            /* otherwise exit loop if we have a result */
            glyph_index = af_shaper_get_elem( &metrics->root,
                                              shaper_buf,
                                              0,
                                              NULL,
                                              NULL );
            if ( glyph_index )
              break;
          }
    
          af_shaper_buf_destroy( face, shaper_buf );
    
          if ( !glyph_index )
            goto Exit;
    
          if ( !glyph_index )
            goto Exit;
    
          FT_TRACE5(( "standard character: U+%04lX (glyph index %d)\n",
                      ch, glyph_index ));
    
          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_StyleMetrics)dummy );
    
          error = af_glyph_hints_reload( hints, &face->glyph->outline );
          if ( error )
            goto Exit;
    
          for ( dim = 0; dim < AF_DIMENSION_MAX; dim++ )
          {
            AF_CJKAxis    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;
    
            /*
             * We assume that the glyphs selected for the stem width
             * computation are `featureless' enough so that the linking
             * algorithm works fine without adjustments of its scoring
             * function.
             */
            af_latin_hints_link_segments( hints,
                                          0,
                                          NULL,
                                          (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_CJK_MAX_WIDTHS )
                  axis->widths[num_widths++].org = dist;
              }
            }
    
            /* this also replaces multiple almost identical stem widths */
            /* with a single one (the value 100 is heuristic)           */
            af_sort_and_quantize_widths( &num_widths, axis->widths,
                                         dummy->units_per_em / 100 );
            axis->width_count = num_widths;
          }
    
        Exit:
          for ( dim = 0; dim < AF_DIMENSION_MAX; dim++ )
          {
            AF_CJKAxis  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;
    
    #ifdef FT_DEBUG_LEVEL_TRACE
            {
              FT_UInt  i;
    
    
              FT_TRACE5(( "%s widths:\n",
                          dim == AF_DIMENSION_VERT ? "horizontal"
                                                   : "vertical" ));
    
              FT_TRACE5(( "  %d (standard)", axis->standard_width ));
              for ( i = 1; i < axis->width_count; i++ )
                FT_TRACE5(( " %d", axis->widths[i].org ));
    
              FT_TRACE5(( "\n" ));
            }
    #endif
          }
        }
    
        FT_TRACE5(( "\n" ));
    
        af_glyph_hints_done( hints );
      }
    
    
      /* Find all blue zones. */
    
      static void
      af_cjk_metrics_init_blues( AF_CJKMetrics  metrics,
                                 FT_Face        face )
      {
        FT_Pos      fills[AF_BLUE_STRING_MAX_LEN];
        FT_Pos      flats[AF_BLUE_STRING_MAX_LEN];
    
        FT_UInt     num_fills;
        FT_UInt     num_flats;
    
        FT_Bool     fill;
    
        AF_CJKBlue  blue;
        FT_Error    error;
        AF_CJKAxis  axis;
        FT_Outline  outline;
    
        AF_StyleClass  sc = metrics->root.style_class;
    
        AF_Blue_Stringset         bss = sc->blue_stringset;
        const AF_Blue_StringRec*  bs  = &af_blue_stringsets[bss];
    
        /* If HarfBuzz is not available, we need a pointer to a single */
        /* unsigned long value.                                        */
    #ifdef FT_CONFIG_OPTION_USE_HARFBUZZ
        void*     shaper_buf;
    #else
        FT_ULong  shaper_buf_;
        void*     shaper_buf = &shaper_buf_;
    #endif
    
    
        /* we walk over the blue character strings as specified in the   */
        /* style's entry in the `af_blue_stringset' array, computing its */
        /* extremum points (depending on the string properties)          */
    
        FT_TRACE5(( "cjk blue zones computation\n"
                    "==========================\n"
                    "\n" ));
    
    #ifdef FT_CONFIG_OPTION_USE_HARFBUZZ
        shaper_buf = af_shaper_buf_create( face );
    #endif
    
        for ( ; bs->string != AF_BLUE_STRING_MAX; bs++ )
        {
          const char*  p = &af_blue_strings[bs->string];
          FT_Pos*      blue_ref;
          FT_Pos*      blue_shoot;
    
    
          if ( AF_CJK_IS_HORIZ_BLUE( bs ) )
            axis = &metrics->axis[AF_DIMENSION_HORZ];
          else
            axis = &metrics->axis[AF_DIMENSION_VERT];
    
    #ifdef FT_DEBUG_LEVEL_TRACE
          {
            FT_String*  cjk_blue_name[4] =
            {
              (FT_String*)"bottom",    /* --   , --  */
              (FT_String*)"top",       /* --   , TOP */
              (FT_String*)"left",      /* HORIZ, --  */
              (FT_String*)"right"      /* HORIZ, TOP */
            };
    
    
            FT_TRACE5(( "blue zone %d (%s):\n",
                        axis->blue_count,
                        cjk_blue_name[AF_CJK_IS_HORIZ_BLUE( bs ) |
                                      AF_CJK_IS_TOP_BLUE( bs )   ] ));
          }
    #endif /* FT_DEBUG_LEVEL_TRACE */
    
          num_fills = 0;
          num_flats = 0;
    
          fill = 1;  /* start with characters that define fill values */
          FT_TRACE5(( "  [overshoot values]\n" ));
    
          while ( *p )
          {
            FT_ULong    glyph_index;
            FT_Pos      best_pos;       /* same as points.y or points.x, resp. */
            FT_Int      best_point;
            FT_Vector*  points;
    
            unsigned int  num_idx;
    
    #ifdef FT_DEBUG_LEVEL_TRACE
            const char*  p_old;
            FT_ULong     ch;
    #endif
    
    
            while ( *p == ' ' )
              p++;
    
    #ifdef FT_DEBUG_LEVEL_TRACE
            p_old = p;
            GET_UTF8_CHAR( ch, p_old );
    #endif
    
            /* switch to characters that define flat values */
            if ( *p == '|' )
            {
              fill = 0;
              FT_TRACE5(( "  [reference values]\n" ));
              p++;
              continue;
            }
    
            /* reject input that maps to more than a single glyph */
            p = af_shaper_get_cluster( p, &metrics->root, shaper_buf, &num_idx );
            if ( num_idx > 1 )
              continue;
    
            /* load the character in the face -- skip unknown or empty ones */
            glyph_index = af_shaper_get_elem( &metrics->root,
                                              shaper_buf,
                                              0,
                                              NULL,
                                              NULL );
            if ( glyph_index == 0 )
            {
              FT_TRACE5(( "  U+%04lX unavailable\n", ch ));
              continue;
            }
    
            error   = FT_Load_Glyph( face, glyph_index, FT_LOAD_NO_SCALE );
            outline = face->glyph->outline;
            if ( error || outline.n_points <= 2 )
            {
              FT_TRACE5(( "  U+%04lX contains no (usable) outlines\n", ch ));
              continue;
            }
    
            /* now compute min or max point indices and coordinates */
            points     = outline.points;
            best_point = -1;
            best_pos   = 0;  /* make compiler happy */
    
            {
              FT_Int  nn;
              FT_Int  first = 0;
              FT_Int  last  = -1;
    
    
              for ( nn = 0; nn < outline.n_contours; first = last + 1, nn++ )
              {
                FT_Int  pp;
    
    
                last = 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_CJK_IS_HORIZ_BLUE( bs ) )
                {
                  if ( AF_CJK_IS_RIGHT_BLUE( bs ) )
                  {
                    for ( pp = first; pp <= last; pp++ )
                      if ( best_point < 0 || points[pp].x > best_pos )
                      {
                        best_point = pp;
                        best_pos   = points[pp].x;
                      }
                  }
                  else
                  {
                    for ( pp = first; pp <= last; pp++ )
                      if ( best_point < 0 || points[pp].x < best_pos )
                      {
                        best_point = pp;
                        best_pos   = points[pp].x;
                      }
                  }
                }
                else
                {
                  if ( AF_CJK_IS_TOP_BLUE( bs ) )
                  {
                    for ( pp = first; pp <= last; pp++ )
                      if ( best_point < 0 || points[pp].y > best_pos )
                      {
                        best_point = pp;
                        best_pos   = points[pp].y;
                      }
                  }
                  else
                  {
                    for ( pp = first; pp <= last; pp++ )
                      if ( best_point < 0 || points[pp].y < best_pos )
                      {
                        best_point = pp;
                        best_pos   = points[pp].y;
                      }
                  }
                }
              }
    
              FT_TRACE5(( "  U+%04lX: best_pos = %5ld\n", ch, best_pos ));
            }
    
            if ( fill )
              fills[num_fills++] = best_pos;
            else
              flats[num_flats++] = best_pos;
    
          } /* end while loop */
    
          if ( num_flats == 0 && num_fills == 0 )
          {
            /*
             * we couldn't find a single glyph to compute this blue zone,
             * we will simply ignore it then
             */
            FT_TRACE5(( "  empty\n" ));
            continue;
          }
    
          /* we have computed the contents of the `fill' 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_fills, fills );
          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 = fills[num_fills / 2];
          }
          else if ( num_fills == 0 )
          {
            *blue_ref   =
            *blue_shoot = flats[num_flats / 2];
          }
          else
          {
            *blue_ref   = fills[num_fills / 2];
            *blue_shoot = flats[num_flats / 2];
          }
    
          /* make sure blue_ref >= blue_shoot for top/right or */
          /* vice versa for bottom/left                        */
          if ( *blue_shoot != *blue_ref )
          {
            FT_Pos   ref       = *blue_ref;
            FT_Pos   shoot     = *blue_shoot;
            FT_Bool  under_ref = FT_BOOL( shoot < ref );
    
    
            /* AF_CJK_IS_TOP_BLUE covers `right' and `top' */
            if ( AF_CJK_IS_TOP_BLUE( bs ) ^ under_ref )
            {
              *blue_ref   =
              *blue_shoot = ( shoot + ref ) / 2;
    
              FT_TRACE5(( "  [reference smaller than overshoot,"
                          " taking mean value]\n" ));
            }
          }
    
          blue->flags = 0;
          if ( AF_CJK_IS_TOP_BLUE( bs ) )
            blue->flags |= AF_CJK_BLUE_TOP;
    
          FT_TRACE5(( "    -> reference = %ld\n"
                      "       overshoot = %ld\n",
                      *blue_ref, *blue_shoot ));
    
        } /* end for loop */
    
        af_shaper_buf_destroy( face, shaper_buf );
    
        FT_TRACE5(( "\n" ));
    
        return;
      }
    
    
      /* Basically the Latin version with type AF_CJKMetrics for metrics. */
    
      FT_LOCAL_DEF( void )
      af_cjk_metrics_check_digits( AF_CJKMetrics  metrics,
                                   FT_Face        face )
      {
        FT_Bool   started = 0, same_width = 1;
        FT_Fixed  advance = 0, old_advance = 0;
    
        /* If HarfBuzz is not available, we need a pointer to a single */
        /* unsigned long value.                                        */
    #ifdef FT_CONFIG_OPTION_USE_HARFBUZZ
        void*     shaper_buf;
    #else
        FT_ULong  shaper_buf_;
        void*     shaper_buf = &shaper_buf_;
    #endif
    
        /* in all supported charmaps, digits have character codes 0x30-0x39 */
        const char   digits[] = "0 1 2 3 4 5 6 7 8 9";
        const char*  p;
    
    
        p = digits;
    
    #ifdef FT_CONFIG_OPTION_USE_HARFBUZZ
        shaper_buf = af_shaper_buf_create( face );
    #endif
    
        while ( *p )
        {
          FT_ULong      glyph_index;
          unsigned int  num_idx;
    
    
          /* reject input that maps to more than a single glyph */
          p = af_shaper_get_cluster( p, &metrics->root, shaper_buf, &num_idx );
          if ( num_idx > 1 )
            continue;
    
          glyph_index = af_shaper_get_elem( &metrics->root,
                                            shaper_buf,
                                            0,
                                            &advance,
                                            NULL );
          if ( !glyph_index )
            continue;
    
          if ( started )
          {
            if ( advance != old_advance )
            {
              same_width = 0;
              break;
            }
          }
          else
          {
            old_advance = advance;
            started     = 1;
          }
        }
    
        af_shaper_buf_destroy( face, shaper_buf );
    
        metrics->root.digits_have_same_width = same_width;
      }
    
    
      /* Initialize global metrics. */
    
      FT_LOCAL_DEF( FT_Error )
      af_cjk_metrics_init( AF_CJKMetrics  metrics,
                           FT_Face        face )
      {
        FT_CharMap  oldmap = face->charmap;
    
    
        metrics->units_per_em = face->units_per_EM;
    
        if ( !FT_Select_Charmap( face, FT_ENCODING_UNICODE ) )
        {
          af_cjk_metrics_init_widths( metrics, face );
          af_cjk_metrics_init_blues( metrics, face );
          af_cjk_metrics_check_digits( metrics, face );
        }
    
        FT_Set_Charmap( face, oldmap );
        return FT_Err_Ok;
      }
    
    
      /* Adjust scaling value, then scale and shift widths   */
      /* and blue zones (if applicable) for given dimension. */
    
      static void
      af_cjk_metrics_scale_dim( AF_CJKMetrics  metrics,
                                AF_Scaler      scaler,
                                AF_Dimension   dim )
      {
        FT_Fixed    scale;
        FT_Pos      delta;
        AF_CJKAxis  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;
    
        axis->scale = scale;
        axis->delta = delta;
    
        /* scale the blue zones */
        for ( nn = 0; nn < axis->blue_count; nn++ )
        {
          AF_CJKBlue  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_CJK_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;
    
    
            blue->ref.fit  = FT_PIX_ROUND( blue->ref.cur );
    
            /* shoot is under shoot for cjk */
            delta1 = FT_DivFix( blue->ref.fit, scale ) - blue->shoot.org;
            delta2 = delta1;
            if ( delta1 < 0 )
              delta2 = -delta2;
    
            delta2 = FT_MulFix( delta2, scale );
    
            FT_TRACE5(( "delta: %d", delta1 ));
            if ( delta2 < 32 )
              delta2 = 0;
    #if 0
            else if ( delta2 < 64 )
              delta2 = 32 + ( ( ( delta2 - 32 ) + 16 ) & ~31 );
    #endif
            else
              delta2 = FT_PIX_ROUND( delta2 );
            FT_TRACE5(( "/%d\n", delta2 ));
    
            if ( delta1 < 0 )
              delta2 = -delta2;
    
            blue->shoot.fit = blue->ref.fit - delta2;
    
            FT_TRACE5(( ">> active cjk blue zone %c%d[%ld/%ld]:\n"
                        "     ref:   cur=%.2f fit=%.2f\n"
                        "     shoot: cur=%.2f fit=%.2f\n",
                        ( dim == AF_DIMENSION_HORZ ) ? 'H' : 'V',
                        nn, blue->ref.org, blue->shoot.org,
                        blue->ref.cur / 64.0, blue->ref.fit / 64.0,
                        blue->shoot.cur / 64.0, blue->shoot.fit / 64.0 ));
    
            blue->flags |= AF_CJK_BLUE_ACTIVE;
          }
        }
      }
    
    
      /* Scale global values in both directions. */
    
      FT_LOCAL_DEF( void )
      af_cjk_metrics_scale( AF_CJKMetrics  metrics,
                            AF_Scaler      scaler )
      {
        /* we copy the whole structure since the x and y scaling values */
        /* are not modified, contrary to e.g. the `latin' auto-hinter   */
        metrics->root.scaler = *scaler;
    
        af_cjk_metrics_scale_dim( metrics, scaler, AF_DIMENSION_HORZ );
        af_cjk_metrics_scale_dim( metrics, scaler, AF_DIMENSION_VERT );
      }
    
    
      /* Extract standard_width from writing system/script specific */
      /* metrics class.                                             */
    
      FT_LOCAL_DEF( void )
      af_cjk_get_standard_widths( AF_CJKMetrics  metrics,
                                  FT_Pos*        stdHW,
                                  FT_Pos*        stdVW )
      {
        if ( stdHW )
          *stdHW = metrics->axis[AF_DIMENSION_VERT].standard_width;
    
        if ( stdVW )
          *stdVW = metrics->axis[AF_DIMENSION_HORZ].standard_width;
      }
    
    
      /*************************************************************************/
      /*************************************************************************/
      /*****                                                               *****/
      /*****              C J K   G L Y P H   A N A L Y S I S              *****/
      /*****                                                               *****/
      /*************************************************************************/
      /*************************************************************************/
    
    
      /* Walk over all contours and compute its segments. */
    
      static FT_Error
      af_cjk_hints_compute_segments( AF_GlyphHints  hints,
                                     AF_Dimension   dim )
      {
        AF_AxisHints  axis          = &hints->axis[dim];
        AF_Segment    segments      = axis->segments;
        AF_Segment    segment_limit = FT_OFFSET( segments, axis->num_segments );
        FT_Error      error;
        AF_Segment    seg;
    
    
        error = af_latin_hints_compute_segments( hints, dim );
        if ( error )
          return error;
    
        /* a segment is round if it doesn't have successive */
        /* on-curve points.                                 */
        for ( seg = segments; seg < segment_limit; seg++ )
        {
          AF_Point  pt   = seg->first;
          AF_Point  last = seg->last;
          FT_UInt   f0   = pt->flags & AF_FLAG_CONTROL;
          FT_UInt   f1;
    
    
          seg->flags &= ~AF_EDGE_ROUND;
    
          for ( ; pt != last; f0 = f1 )
          {
            pt = pt->next;
            f1 = pt->flags & AF_FLAG_CONTROL;
    
            if ( !f0 && !f1 )
              break;
    
            if ( pt == last )
              seg->flags |= AF_EDGE_ROUND;
          }
        }
    
        return FT_Err_Ok;
      }
    
    
      static void
      af_cjk_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;
        AF_Direction  major_dir     = axis->major_dir;
        AF_Segment    seg1, seg2;
        FT_Pos        len_threshold;
        FT_Pos        dist_threshold;
    
    
        len_threshold = AF_LATIN_CONSTANT( hints->metrics, 8 );
    
        dist_threshold = ( dim == AF_DIMENSION_HORZ ) ? hints->x_scale
                                                      : hints->y_scale;
        dist_threshold = FT_DivFix( 64 * 3, dist_threshold );
    
        /* now compare each segment to the others */
        for ( seg1 = segments; seg1 < segment_limit; seg1++ )
        {
          if ( seg1->dir != major_dir )
            continue;
    
          for ( seg2 = segments; seg2 < segment_limit; seg2++ )
            if ( seg2 != seg1 && seg1->dir + seg2->dir == 0 )
            {
              FT_Pos  dist = seg2->pos - seg1->pos;
    
    
              if ( dist < 0 )
                continue;
    
              {
                FT_Pos  min = seg1->min_coord;
                FT_Pos  max = seg1->max_coord;
                FT_Pos  len;
    
    
                if ( min < seg2->min_coord )
                  min = seg2->min_coord;
    
                if ( max > seg2->max_coord )
                  max = seg2->max_coord;
    
                len = max - min;
                if ( len >= len_threshold )
                {
                  if ( dist * 8 < seg1->score * 9                        &&
                       ( dist * 8 < seg1->score * 7 || seg1->len < len ) )
                  {
                    seg1->score = dist;
                    seg1->len   = len;
                    seg1->link  = seg2;
                  }
    
                  if ( dist * 8 < seg2->score * 9                        &&
                       ( dist * 8 < seg2->score * 7 || seg2->len < len ) )
                  {
                    seg2->score = dist;
                    seg2->len   = len;
                    seg2->link  = seg1;
                  }
                }
              }
            }
        }
    
        /*
         * now compute the `serif' segments
         *
         * In Hanzi, some strokes are wider on one or both of the ends.
         * We either identify the stems on the ends as serifs or remove
         * the linkage, depending on the length of the stems.
         *
         */
    
        {
          AF_Segment  link1, link2;
    
    
          for ( seg1 = segments; seg1 < segment_limit; seg1++ )
          {
            link1 = seg1->link;
            if ( !link1 || link1->link != seg1 || link1->pos <= seg1->pos )
              continue;
    
            if ( seg1->score >= dist_threshold )
              continue;
    
            for ( seg2 = segments; seg2 < segment_limit; seg2++ )
            {
              if ( seg2->pos > seg1->pos || seg1 == seg2 )
                continue;
    
              link2 = seg2->link;
              if ( !link2 || link2->link != seg2 || link2->pos < link1->pos )
                continue;
    
              if ( seg1->pos == seg2->pos && link1->pos == link2->pos )
                continue;
    
              if ( seg2->score <= seg1->score || seg1->score * 4 <= seg2->score )
                continue;
    
              /* seg2 < seg1 < link1 < link2 */
    
              if ( seg1->len >= seg2->len * 3 )
              {
                AF_Segment  seg;
    
    
                for ( seg = segments; seg < segment_limit; seg++ )
                {
                  AF_Segment  link = seg->link;
    
    
                  if ( link == seg2 )
                  {
                    seg->link  = NULL;
                    seg->serif = link1;
                  }
                  else if ( link == link2 )
                  {
                    seg->link  = NULL;
                    seg->serif = seg1;
                  }
                }
              }
              else
              {
                seg1->link = link1->link = NULL;
    
                break;
              }
            }
          }
        }
    
        for ( seg1 = segments; seg1 < segment_limit; seg1++ )
        {
          seg2 = seg1->link;
    
          if ( seg2 )
          {
            if ( seg2->link != seg1 )
            {
              seg1->link = NULL;
    
              if ( seg2->score < dist_threshold || seg1->score < seg2->score * 4 )
                seg1->serif = seg2->link;
            }
          }
        }
      }
    
    
      static FT_Error
      af_cjk_hints_compute_edges( AF_GlyphHints  hints,
                                  AF_Dimension   dim )
      {
        AF_AxisHints  axis   = &hints->axis[dim];
        FT_Error      error  = FT_Err_Ok;
        FT_Memory     memory = hints->memory;
        AF_CJKAxis    laxis  = &((AF_CJKMetrics)hints->metrics)->axis[dim];
    
        AF_Segment    segments      = axis->segments;
        AF_Segment    segment_limit = segments + axis->num_segments;
        AF_Segment    seg;
    
        FT_Fixed      scale;
        FT_Pos        edge_distance_threshold;
    
    
        axis->num_edges = 0;
    
        scale = ( dim == AF_DIMENSION_HORZ ) ? hints->x_scale
                                             : hints->y_scale;
    
        /**********************************************************************
         *
         * 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 is then processed in the second step to compute the
         * edge's properties.
         *
         * Note that the edges table is sorted along the segment/edge
         * position.
         *
         */
    
        edge_distance_threshold = FT_MulFix( laxis->edge_distance_threshold,
                                             scale );
        if ( edge_distance_threshold > 64 / 4 )
          edge_distance_threshold = FT_DivFix( 64 / 4, scale );
        else
          edge_distance_threshold = laxis->edge_distance_threshold;
    
        for ( seg = segments; seg < segment_limit; seg++ )
        {
          AF_Edge  found = NULL;
          FT_Pos   best  = 0xFFFFU;
          FT_Int   ee;
    
    
          /* 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;
    
    
            if ( edge->dir != seg->dir )
              continue;
    
            dist = seg->pos - edge->fpos;
            if ( dist < 0 )
              dist = -dist;
    
            if ( dist < edge_distance_threshold && dist < best )
            {
              AF_Segment  link = seg->link;
    
    
              /* check whether all linked segments of the candidate edge */
              /* can make a single edge.                                 */
              if ( link )
              {
                AF_Segment  seg1  = edge->first;
                FT_Pos      dist2 = 0;
    
    
                do
                {
                  AF_Segment  link1 = seg1->link;
    
    
                  if ( link1 )
                  {
                    dist2 = AF_SEGMENT_DIST( link, link1 );
                    if ( dist2 >= edge_distance_threshold )
                      break;
                  }
    
                } while ( ( seg1 = seg1->edge_next ) != edge->first );
    
                if ( dist2 >= edge_distance_threshold )
                  continue;
              }
    
              best  = dist;
              found = edge;
            }
          }
    
          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, 0,
                                            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 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? */
    
    
            seg = edge->first;
            if ( !seg )
              goto Skip_Loop;
    
            do
            {
              FT_Bool  is_serif;
    
    
              /* check for roundness of segment */
              if ( seg->flags & AF_EDGE_ROUND )
                is_round++;
              else
                is_straight++;
    
              /* check for links -- if seg->serif is set, then seg->link must */
              /* be ignored                                                   */
              is_serif = FT_BOOL( seg->serif && seg->serif->edge != edge );
    
              if ( seg->link || 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 = AF_SEGMENT_DIST( seg, seg2 );
    
                  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 );
    
          Skip_Loop:
            /* set the round/straight flags */
            edge->flags = AF_EDGE_NORMAL;
    
            if ( is_round > 0 && is_round >= is_straight )
              edge->flags |= AF_EDGE_ROUND;
    
            /* 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 = NULL;
          }
        }
    
      Exit:
        return error;
      }
    
    
      /* Detect segments and edges for given dimension. */
    
      static FT_Error
      af_cjk_hints_detect_features( AF_GlyphHints  hints,
                                    AF_Dimension   dim )
      {
        FT_Error  error;
    
    
        error = af_cjk_hints_compute_segments( hints, dim );
        if ( !error )
        {
          af_cjk_hints_link_segments( hints, dim );
    
          error = af_cjk_hints_compute_edges( hints, dim );
        }
        return error;
      }
    
    
      /* Compute all edges which lie within blue zones. */
    
      static void
      af_cjk_hints_compute_blue_edges( AF_GlyphHints  hints,
                                       AF_CJKMetrics  metrics,
                                       AF_Dimension   dim )
      {
        AF_AxisHints  axis       = &hints->axis[dim];
        AF_Edge       edge       = axis->edges;
        AF_Edge       edge_limit = edge + axis->num_edges;
        AF_CJKAxis    cjk        = &metrics->axis[dim];
        FT_Fixed      scale      = cjk->scale;
        FT_Pos        best_dist0;  /* initial threshold */
    
    
        /* compute the initial threshold as a fraction of the EM size */
        best_dist0 = FT_MulFix( metrics->units_per_em / 40, scale );
    
        if ( best_dist0 > 64 / 2 ) /* maximum 1/2 pixel */
          best_dist0 = 64 / 2;
    
        /* compute which blue zones are active, i.e. have their scaled */
        /* size < 3/4 pixels                                           */
    
        /* If the distant between an edge and a blue zone is shorter than */
        /* best_dist0, set the blue zone for the edge.  Then search for   */
        /* the blue zone with the smallest best_dist to the edge.         */
    
        for ( ; edge < edge_limit; edge++ )
        {
          FT_UInt   bb;
          AF_Width  best_blue = NULL;
          FT_Pos    best_dist = best_dist0;
    
    
          for ( bb = 0; bb < cjk->blue_count; bb++ )
          {
            AF_CJKBlue  blue = cjk->blues + bb;
            FT_Bool     is_top_right_blue, is_major_dir;
    
    
            /* skip inactive blue zones (i.e., those that are too small) */
            if ( !( blue->flags & AF_CJK_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_right_blue =
              (FT_Byte)( ( blue->flags & AF_CJK_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_right_blue ^ is_major_dir )
            {
              FT_Pos    dist;
              AF_Width  compare;
    
    
              /* Compare the edge to the closest blue zone type */
              if ( FT_ABS( edge->fpos - blue->ref.org ) >
                   FT_ABS( edge->fpos - blue->shoot.org ) )
                compare = &blue->shoot;
              else
                compare = &blue->ref;
    
              dist = edge->fpos - compare->org;
              if ( dist < 0 )
                dist = -dist;
    
              dist = FT_MulFix( dist, scale );
              if ( dist < best_dist )
              {
                best_dist = dist;
                best_blue = compare;
              }
            }
          }
    
          if ( best_blue )
            edge->blue_edge = best_blue;
        }
      }
    
    
      /* Initalize hinting engine. */
    
      FT_LOCAL_DEF( FT_Error )
      af_cjk_hints_init( AF_GlyphHints  hints,
                         AF_CJKMetrics  metrics )
      {
        FT_Render_Mode  mode;
        FT_UInt32       scaler_flags, other_flags;
    
    
        af_glyph_hints_rescale( hints, (AF_StyleMetrics)metrics );
    
        /*
         * correct x_scale and y_scale when needed, since they may have
         * been modified af_cjk_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 /* 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 unless in `light' or `lcd' mode.
         */
        if ( mode != FT_RENDER_MODE_LIGHT && mode != FT_RENDER_MODE_LCD )
          other_flags |= AF_LATIN_HINTS_STEM_ADJUST;
    
        if ( mode == FT_RENDER_MODE_MONO )
          other_flags |= AF_LATIN_HINTS_MONO;
    
        scaler_flags |= AF_SCALER_FLAG_NO_ADVANCE;
    
    #ifdef AF_CONFIG_OPTION_USE_WARPER
        /* get (global) warper flag */
        if ( !metrics->root.globals->module->warping )
          scaler_flags |= AF_SCALER_FLAG_NO_WARPER;
    #endif
    
        hints->scaler_flags = scaler_flags;
        hints->other_flags  = other_flags;
    
        return FT_Err_Ok;
      }
    
    
      /*************************************************************************/
      /*************************************************************************/
      /*****                                                               *****/
      /*****          C J K   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_cjk_snap_width( AF_Width  widths,
                         FT_UInt   count,
                         FT_Pos    width )
      {
        FT_UInt  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.                          */
      /* There is a lot of voodoo in this function; changing the hard-coded  */
      /* parameters influence the whole hinting process.                     */
    
      static FT_Pos
      af_cjk_compute_stem_width( AF_GlyphHints  hints,
                                 AF_Dimension   dim,
                                 FT_Pos         width,
                                 FT_UInt        base_flags,
                                 FT_UInt        stem_flags )
      {
        AF_CJKMetrics  metrics  = (AF_CJKMetrics)hints->metrics;
        AF_CJKAxis     axis     = &metrics->axis[dim];
        FT_Pos         dist     = width;
        FT_Int         sign     = 0;
        FT_Bool        vertical = FT_BOOL( dim == AF_DIMENSION_VERT );
    
        FT_UNUSED( base_flags );
        FT_UNUSED( stem_flags );
    
    
        if ( !AF_LATIN_HINTS_DO_STEM_ADJUST( hints ) )
          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 */
    
          if ( axis->width_count > 0 )
          {
            if ( FT_ABS( dist - axis->widths[0].cur ) < 40 )
            {
              dist = axis->widths[0].cur;
              if ( dist < 48 )
                dist = 48;
    
              goto Done_Width;
            }
          }
    
          if ( dist < 54 )
            dist += ( 54 - dist ) / 2;
          else if ( dist < 3 * 64 )
          {
            FT_Pos  delta;
    
    
            delta  = dist & 63;
            dist  &= -64;
    
            if ( delta < 10 )
              dist += delta;
            else if ( delta < 22 )
              dist += 10;
            else if ( delta < 42 )
              dist += delta;
            else if ( delta < 54 )
              dist += 54;
            else
              dist += delta;
          }
        }
        else
        {
          /* strong hinting process: snap the stem width to integer pixels */
    
          dist = af_cjk_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 )
                dist = ( dist + 22 ) & ~63;
              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_cjk_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_cjk_compute_stem_width( hints, dim, dist,
                                                          base_edge->flags,
                                                          stem_edge->flags );
    
    
        stem_edge->pos = base_edge->pos + fitted_width;
    
        FT_TRACE5(( "  CJKLINK: edge %d @%d (opos=%.2f) linked to %.2f,"
                    " dist was %.2f, now %.2f\n",
                    stem_edge - hints->axis[dim].edges, stem_edge->fpos,
                    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_cjk_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                      ****/
      /****                                                                 ****/
      /*************************************************************************/
      /*************************************************************************/
      /*************************************************************************/
    
    
    #define AF_LIGHT_MODE_MAX_HORZ_GAP    9
    #define AF_LIGHT_MODE_MAX_VERT_GAP   15
    #define AF_LIGHT_MODE_MAX_DELTA_ABS  14
    
    
      static FT_Pos
      af_hint_normal_stem( AF_GlyphHints  hints,
                           AF_Edge        edge,
                           AF_Edge        edge2,
                           FT_Pos         anchor,
                           AF_Dimension   dim )
      {
        FT_Pos  org_len, cur_len, org_center;
        FT_Pos  cur_pos1, cur_pos2;
        FT_Pos  d_off1, u_off1, d_off2, u_off2, delta;
        FT_Pos  offset;
        FT_Pos  threshold = 64;
    
    
        if ( !AF_LATIN_HINTS_DO_STEM_ADJUST( hints ) )
        {
          if ( ( edge->flags  & AF_EDGE_ROUND ) &&
               ( edge2->flags & AF_EDGE_ROUND ) )
          {
            if ( dim == AF_DIMENSION_VERT )
              threshold = 64 - AF_LIGHT_MODE_MAX_HORZ_GAP;
            else
              threshold = 64 - AF_LIGHT_MODE_MAX_VERT_GAP;
          }
          else
          {
            if ( dim == AF_DIMENSION_VERT )
              threshold = 64 - AF_LIGHT_MODE_MAX_HORZ_GAP / 3;
            else
              threshold = 64 - AF_LIGHT_MODE_MAX_VERT_GAP / 3;
          }
        }
    
        org_len    = edge2->opos - edge->opos;
        cur_len    = af_cjk_compute_stem_width( hints, dim, org_len,
                                                edge->flags,
                                                edge2->flags );
    
        org_center = ( edge->opos + edge2->opos ) / 2 + anchor;
        cur_pos1   = org_center - cur_len / 2;
        cur_pos2   = cur_pos1 + cur_len;
        d_off1     = cur_pos1 - FT_PIX_FLOOR( cur_pos1 );
        d_off2     = cur_pos2 - FT_PIX_FLOOR( cur_pos2 );
        u_off1     = 64 - d_off1;
        u_off2     = 64 - d_off2;
        delta      = 0;
    
    
        if ( d_off1 == 0 || d_off2 == 0 )
          goto Exit;
    
        if ( cur_len <= threshold )
        {
          if ( d_off2 < cur_len )
          {
            if ( u_off1 <= d_off2 )
              delta =  u_off1;
            else
              delta = -d_off2;
          }
    
          goto Exit;
        }
    
        if ( threshold < 64 )
        {
          if ( d_off1 >= threshold || u_off1 >= threshold ||
               d_off2 >= threshold || u_off2 >= threshold )
            goto Exit;
        }
    
        offset = cur_len & 63;
    
        if ( offset < 32 )
        {
          if ( u_off1 <= offset || d_off2 <= offset )
            goto Exit;
        }
        else
          offset = 64 - threshold;
    
        d_off1 = threshold - u_off1;
        u_off1 = u_off1    - offset;
        u_off2 = threshold - d_off2;
        d_off2 = d_off2    - offset;
    
        if ( d_off1 <= u_off1 )
          u_off1 = -d_off1;
    
        if ( d_off2 <= u_off2 )
          u_off2 = -d_off2;
    
        if ( FT_ABS( u_off1 ) <= FT_ABS( u_off2 ) )
          delta = u_off1;
        else
          delta = u_off2;
    
      Exit:
    
    #if 1
        if ( !AF_LATIN_HINTS_DO_STEM_ADJUST( hints ) )
        {
          if ( delta > AF_LIGHT_MODE_MAX_DELTA_ABS )
            delta = AF_LIGHT_MODE_MAX_DELTA_ABS;
          else if ( delta < -AF_LIGHT_MODE_MAX_DELTA_ABS )
            delta = -AF_LIGHT_MODE_MAX_DELTA_ABS;
        }
    #endif
    
        cur_pos1 += delta;
    
        if ( edge->opos < edge2->opos )
        {
          edge->pos  = cur_pos1;
          edge2->pos = cur_pos1 + cur_len;
        }
        else
        {
          edge->pos  = cur_pos1 + cur_len;
          edge2->pos = cur_pos1;
        }
    
        return delta;
      }
    
    
      /* The main grid-fitting routine. */
    
      static void
      af_cjk_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_Pos        delta    = 0;
        FT_Int        skipped  = 0;
        FT_Bool       has_last_stem = FALSE;
        FT_Pos        last_stem_pos = 0;
    
    #ifdef FT_DEBUG_LEVEL_TRACE
        FT_UInt       num_actions = 0;
    #endif
    
    
        FT_TRACE5(( "cjk %s edge hinting (style `%s')\n",
                    dim == AF_DIMENSION_VERT ? "horizontal" : "vertical",
                    af_style_names[hints->metrics->style_class->style] ));
    
        /* we begin by aligning all stems relative to the blue zone */
    
        if ( 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;
    
    #ifdef FT_DEBUG_LEVEL_TRACE
            FT_TRACE5(( "  CJKBLUE: edge %d @%d (opos=%.2f) snapped to %.2f,"
                        " was %.2f\n",
                        edge1 - edges, edge1->fpos, edge1->opos / 64.0,
                        blue->fit / 64.0, edge1->pos / 64.0 ));
    
            num_actions++;
    #endif
    
            edge1->pos    = blue->fit;
            edge1->flags |= AF_EDGE_DONE;
    
            if ( edge2 && !edge2->blue_edge )
            {
              af_cjk_align_linked_edge( hints, dim, edge1, edge2 );
              edge2->flags |= AF_EDGE_DONE;
    
    #ifdef FT_DEBUG_LEVEL_TRACE
              num_actions++;
    #endif
            }
    
            if ( !anchor )
              anchor = edge;
          }
        }
    
        /* now we align all stem edges. */
        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 )
          {
            skipped++;
            continue;
          }
    
          /* Some CJK characters have so many stems that
           * the hinter is likely to merge two adjacent ones.
           * To solve this problem, if either edge of a stem
           * is too close to the previous one, we avoid
           * aligning the two edges, but rather interpolate
           * their locations at the end of this function in
           * order to preserve the space between the stems.
           */
          if ( has_last_stem                       &&
               ( edge->pos  < last_stem_pos + 64 ||
                 edge2->pos < last_stem_pos + 64 ) )
          {
            skipped++;
            continue;
          }
    
          /* now align the stem */
    
          /* this should not happen, but it's better to be safe */
          if ( edge2->blue_edge )
          {
            FT_TRACE5(( "ASSERTION FAILED for edge %d\n", edge2-edges ));
    
            af_cjk_align_linked_edge( hints, dim, edge2, edge );
            edge->flags |= AF_EDGE_DONE;
    
    #ifdef FT_DEBUG_LEVEL_TRACE
            num_actions++;
    #endif
    
            continue;
          }
    
          if ( edge2 < edge )
          {
            af_cjk_align_linked_edge( hints, dim, edge2, edge );
            edge->flags |= AF_EDGE_DONE;
    
    #ifdef FT_DEBUG_LEVEL_TRACE
            num_actions++;
    #endif
    
            /* We rarely reaches here it seems;
             * usually the two edges belonging
             * to one stem are marked as DONE together
             */
            has_last_stem = TRUE;
            last_stem_pos = edge->pos;
            continue;
          }
    
          if ( dim != AF_DIMENSION_VERT && !anchor )
          {
    
    #if 0
            if ( fixedpitch )
            {
              AF_Edge     left  = edge;
              AF_Edge     right = edge_limit - 1;
              AF_EdgeRec  left1, left2, right1, right2;
              FT_Pos      target, center1, center2;
              FT_Pos      delta1, delta2, d1, d2;
    
    
              while ( right > left && !right->link )
                right--;
    
              left1  = *left;
              left2  = *left->link;
              right1 = *right->link;
              right2 = *right;
    
              delta  = ( ( ( hinter->pp2.x + 32 ) & -64 ) - hinter->pp2.x ) / 2;
              target = left->opos + ( right->opos - left->opos ) / 2 + delta - 16;
    
              delta1  = delta;
              delta1 += af_hint_normal_stem( hints, left, left->link,
                                             delta1, 0 );
    
              if ( left->link != right )
                af_hint_normal_stem( hints, right->link, right, delta1, 0 );
    
              center1 = left->pos + ( right->pos - left->pos ) / 2;
    
              if ( center1 >= target )
                delta2 = delta - 32;
              else
                delta2 = delta + 32;
    
              delta2 += af_hint_normal_stem( hints, &left1, &left2, delta2, 0 );
    
              if ( delta1 != delta2 )
              {
                if ( left->link != right )
                  af_hint_normal_stem( hints, &right1, &right2, delta2, 0 );
    
                center2 = left1.pos + ( right2.pos - left1.pos ) / 2;
    
                d1 = center1 - target;
                d2 = center2 - target;
    
                if ( FT_ABS( d2 ) < FT_ABS( d1 ) )
                {
                  left->pos       = left1.pos;
                  left->link->pos = left2.pos;
    
                  if ( left->link != right )
                  {
                    right->link->pos = right1.pos;
                    right->pos       = right2.pos;
                  }
    
                  delta1 = delta2;
                }
              }
    
              delta               = delta1;
              right->link->flags |= AF_EDGE_DONE;
              right->flags       |= AF_EDGE_DONE;
            }
            else
    
    #endif /* 0 */
    
              delta = af_hint_normal_stem( hints, edge, edge2, 0,
                                           AF_DIMENSION_HORZ );
          }
          else
            af_hint_normal_stem( hints, edge, edge2, delta, dim );
    
    #if 0
          printf( "stem (%d,%d) adjusted (%.1f,%.1f)\n",
                   edge - edges, edge2 - edges,
                   ( edge->pos - edge->opos ) / 64.0,
                   ( edge2->pos - edge2->opos ) / 64.0 );
    #endif
    
          anchor = edge;
          edge->flags  |= AF_EDGE_DONE;
          edge2->flags |= AF_EDGE_DONE;
          has_last_stem = TRUE;
          last_stem_pos = edge2->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;
    
    
          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 ( edge1->link == edge1 + 1 &&
               edge2->link == edge2 + 1 &&
               edge3->link == edge3 + 1 && 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 ( !skipped )
          goto Exit;
    
        /*
         * now hint the remaining edges (serifs and single) in order
         * to complete our processing
         */
        for ( edge = edges; edge < edge_limit; edge++ )
        {
          if ( edge->flags & AF_EDGE_DONE )
            continue;
    
          if ( edge->serif )
          {
            af_cjk_align_serif_edge( hints, edge->serif, edge );
            edge->flags |= AF_EDGE_DONE;
            skipped--;
          }
        }
    
        if ( !skipped )
          goto Exit;
    
        for ( edge = edges; edge < edge_limit; edge++ )
        {
          AF_Edge  before, after;
    
    
          if ( edge->flags & AF_EDGE_DONE )
            continue;
    
          before = after = edge;
    
          while ( --before >= edges )
            if ( before->flags & AF_EDGE_DONE )
              break;
    
          while ( ++after < edge_limit )
            if ( after->flags & AF_EDGE_DONE )
              break;
    
          if ( before >= edges || after < edge_limit )
          {
            if ( before < edges )
              af_cjk_align_serif_edge( hints, after, edge );
            else if ( after >= edge_limit )
              af_cjk_align_serif_edge( hints, before, edge );
            else
            {
              if ( after->fpos == before->fpos )
                edge->pos = before->pos;
              else
                edge->pos = before->pos +
                            FT_MulDiv( edge->fpos - before->fpos,
                                       after->pos - before->pos,
                                       after->fpos - before->fpos );
            }
          }
        }
    
      Exit:
    
    #ifdef FT_DEBUG_LEVEL_TRACE
        if ( !num_actions )
          FT_TRACE5(( "  (none)\n" ));
        FT_TRACE5(( "\n" ));
    #endif
    
        return;
      }
    
    
      static void
      af_cjk_align_edge_points( 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;
        AF_Edge       edge;
        FT_Bool       snapping;
    
    
        snapping = FT_BOOL( ( dim == AF_DIMENSION_HORZ             &&
                              AF_LATIN_HINTS_DO_HORZ_SNAP( hints ) )  ||
                            ( dim == AF_DIMENSION_VERT             &&
                              AF_LATIN_HINTS_DO_VERT_SNAP( hints ) )  );
    
        for ( edge = edges; edge < edge_limit; edge++ )
        {
          /* move the points of each segment     */
          /* in each edge to the edge's position */
          AF_Segment  seg = edge->first;
    
    
          if ( snapping )
          {
            do
            {
              AF_Point  point = seg->first;
    
    
              for (;;)
              {
                if ( dim == AF_DIMENSION_HORZ )
                {
                  point->x      = edge->pos;
                  point->flags |= AF_FLAG_TOUCH_X;
                }
                else
                {
                  point->y      = edge->pos;
                  point->flags |= AF_FLAG_TOUCH_Y;
                }
    
                if ( point == seg->last )
                  break;
    
                point = point->next;
              }
    
              seg = seg->edge_next;
    
            } while ( seg != edge->first );
          }
          else
          {
            FT_Pos  delta = edge->pos - edge->opos;
    
    
            do
            {
              AF_Point  point = seg->first;
    
    
              for (;;)
              {
                if ( dim == AF_DIMENSION_HORZ )
                {
                  point->x     += delta;
                  point->flags |= AF_FLAG_TOUCH_X;
                }
                else
                {
                  point->y     += delta;
                  point->flags |= AF_FLAG_TOUCH_Y;
                }
    
                if ( point == seg->last )
                  break;
    
                point = point->next;
              }
    
              seg = seg->edge_next;
    
            } while ( seg != edge->first );
          }
        }
      }
    
    
      /* Apply the complete hinting algorithm to a CJK glyph. */
    
      FT_LOCAL_DEF( FT_Error )
      af_cjk_hints_apply( FT_UInt        glyph_index,
                          AF_GlyphHints  hints,
                          FT_Outline*    outline,
                          AF_CJKMetrics  metrics )
      {
        FT_Error  error;
        int       dim;
    
        FT_UNUSED( metrics );
        FT_UNUSED( glyph_index );
    
    
        error = af_glyph_hints_reload( hints, outline );
        if ( error )
          goto Exit;
    
        /* analyze glyph outline */
        if ( AF_HINTS_DO_HORIZONTAL( hints ) )
        {
          error = af_cjk_hints_detect_features( hints, AF_DIMENSION_HORZ );
          if ( error )
            goto Exit;
    
          af_cjk_hints_compute_blue_edges( hints, metrics, AF_DIMENSION_HORZ );
        }
    
        if ( AF_HINTS_DO_VERTICAL( hints ) )
        {
          error = af_cjk_hints_detect_features( hints, AF_DIMENSION_VERT );
          if ( error )
            goto Exit;
    
          af_cjk_hints_compute_blue_edges( hints, metrics, AF_DIMENSION_VERT );
        }
    
        /* grid-fit the outline */
        for ( dim = 0; dim < AF_DIMENSION_MAX; dim++ )
        {
          if ( ( dim == AF_DIMENSION_HORZ && AF_HINTS_DO_HORIZONTAL( hints ) ) ||
               ( dim == AF_DIMENSION_VERT && AF_HINTS_DO_VERTICAL( hints ) )   )
          {
    
    #ifdef AF_CONFIG_OPTION_USE_WARPER
            if ( dim == AF_DIMENSION_HORZ                                  &&
                 metrics->root.scaler.render_mode == FT_RENDER_MODE_NORMAL &&
                 AF_HINTS_DO_WARP( hints )                                 )
            {
              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 /* AF_CONFIG_OPTION_USE_WARPER */
    
            af_cjk_hint_edges( hints, (AF_Dimension)dim );
            af_cjk_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;
      }
    
    
      /*************************************************************************/
      /*************************************************************************/
      /*****                                                               *****/
      /*****                C J K   S C R I P T   C L A S S                *****/
      /*****                                                               *****/
      /*************************************************************************/
      /*************************************************************************/
    
    
      AF_DEFINE_WRITING_SYSTEM_CLASS(
        af_cjk_writing_system_class,
    
        AF_WRITING_SYSTEM_CJK,
    
        sizeof ( AF_CJKMetricsRec ),
    
        (AF_WritingSystem_InitMetricsFunc) af_cjk_metrics_init,        /* style_metrics_init    */
        (AF_WritingSystem_ScaleMetricsFunc)af_cjk_metrics_scale,       /* style_metrics_scale   */
        (AF_WritingSystem_DoneMetricsFunc) NULL,                       /* style_metrics_done    */
        (AF_WritingSystem_GetStdWidthsFunc)af_cjk_get_standard_widths, /* style_metrics_getstdw */
    
        (AF_WritingSystem_InitHintsFunc)   af_cjk_hints_init,          /* style_hints_init      */
        (AF_WritingSystem_ApplyHintsFunc)  af_cjk_hints_apply          /* style_hints_apply     */
      )
    
    
    #else /* !AF_CONFIG_OPTION_CJK */
    
    
      AF_DEFINE_WRITING_SYSTEM_CLASS(
        af_cjk_writing_system_class,
    
        AF_WRITING_SYSTEM_CJK,
    
        sizeof ( AF_CJKMetricsRec ),
    
        (AF_WritingSystem_InitMetricsFunc) NULL, /* style_metrics_init    */
        (AF_WritingSystem_ScaleMetricsFunc)NULL, /* style_metrics_scale   */
        (AF_WritingSystem_DoneMetricsFunc) NULL, /* style_metrics_done    */
        (AF_WritingSystem_GetStdWidthsFunc)NULL, /* style_metrics_getstdw */
    
        (AF_WritingSystem_InitHintsFunc)   NULL, /* style_hints_init      */
        (AF_WritingSystem_ApplyHintsFunc)  NULL  /* style_hints_apply     */
      )
    
    
    #endif /* !AF_CONFIG_OPTION_CJK */
    
    
    /* END */