Edit

kc3-lang/freetype/src/base/ftoutln.c

Branch :

  • Show log

    Commit

  • Author : Alexei Podtelezhnikov
    Date : 2024-06-20 22:16:51
    Hash : 044d142b
    Message : Use unsigned tags `FT_Outline`. This change comes along with 2a7bb4596f56 ans is only meant to reduce pointer casting in the code. * include/freetype/ftimage.h (FT_Outline): Do it. * src/*: Update `FT_Outline` users.

  • src/base/ftoutln.c
  • /****************************************************************************
     *
     * ftoutln.c
     *
     *   FreeType outline management (body).
     *
     * Copyright (C) 1996-2024 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 <freetype/ftoutln.h>
    #include <freetype/internal/ftobjs.h>
    #include <freetype/internal/ftcalc.h>
    #include <freetype/internal/ftdebug.h>
    #include <freetype/fttrigon.h>
    
    
      /**************************************************************************
       *
       * 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  outline
    
    
      static
      const FT_Outline  null_outline = { 0, 0, NULL, NULL, NULL, 0 };
    
    
      /* documentation is in ftoutln.h */
    
      FT_EXPORT_DEF( FT_Error )
      FT_Outline_Decompose( FT_Outline*              outline,
                            const FT_Outline_Funcs*  func_interface,
                            void*                    user )
      {
    #undef  SCALED
    #define SCALED( x )  ( (x) * ( 1L << shift ) - delta )
    
        FT_Vector   v_last;
        FT_Vector   v_control;
        FT_Vector   v_start;
    
        FT_Vector*  point;
        FT_Vector*  limit;
        FT_Byte*    tags;
    
        FT_Error    error;
    
        FT_Int   n;         /* index of contour in outline     */
        FT_Int   first;     /* index of first point in contour */
        FT_Int   last;      /* index of last point in contour  */
    
        FT_Int   tag;       /* current point's state           */
    
        FT_Int   shift;
        FT_Pos   delta;
    
    
        if ( !outline )
          return FT_THROW( Invalid_Outline );
    
        if ( !func_interface )
          return FT_THROW( Invalid_Argument );
    
        shift = func_interface->shift;
        delta = func_interface->delta;
    
        last = -1;
        for ( n = 0; n < outline->n_contours; n++ )
        {
          FT_TRACE5(( "FT_Outline_Decompose: Contour %d\n", n ));
    
          first = last + 1;
          last  = outline->contours[n];
          if ( last < first )
            goto Invalid_Outline;
    
          limit = outline->points + last;
    
          v_start   = outline->points[first];
          v_start.x = SCALED( v_start.x );
          v_start.y = SCALED( v_start.y );
    
          v_last   = outline->points[last];
          v_last.x = SCALED( v_last.x );
          v_last.y = SCALED( v_last.y );
    
          v_control = v_start;
    
          point = outline->points + first;
          tags  = outline->tags   + first;
          tag   = FT_CURVE_TAG( tags[0] );
    
          /* A contour cannot start with a cubic control point! */
          if ( tag == FT_CURVE_TAG_CUBIC )
            goto Invalid_Outline;
    
          /* check first point to determine origin */
          if ( tag == FT_CURVE_TAG_CONIC )
          {
            /* first point is conic control.  Yes, this happens. */
            if ( FT_CURVE_TAG( outline->tags[last] ) == FT_CURVE_TAG_ON )
            {
              /* start at last point if it is on the curve */
              v_start = v_last;
              limit--;
            }
            else
            {
              /* if both first and last points are conic,         */
              /* start at their middle and record its position    */
              /* for closure                                      */
              v_start.x = ( v_start.x + v_last.x ) / 2;
              v_start.y = ( v_start.y + v_last.y ) / 2;
    
           /* v_last = v_start; */
            }
            point--;
            tags--;
          }
    
          FT_TRACE5(( "  move to (%.2f, %.2f)\n",
                      (double)v_start.x / 64, (double)v_start.y / 64 ));
          error = func_interface->move_to( &v_start, user );
          if ( error )
            goto Exit;
    
          while ( point < limit )
          {
            point++;
            tags++;
    
            tag = FT_CURVE_TAG( tags[0] );
            switch ( tag )
            {
            case FT_CURVE_TAG_ON:  /* emit a single line_to */
              {
                FT_Vector  vec;
    
    
                vec.x = SCALED( point->x );
                vec.y = SCALED( point->y );
    
                FT_TRACE5(( "  line to (%.2f, %.2f)\n",
                            (double)vec.x / 64, (double)vec.y / 64 ));
                error = func_interface->line_to( &vec, user );
                if ( error )
                  goto Exit;
                continue;
              }
    
            case FT_CURVE_TAG_CONIC:  /* consume conic arcs */
              v_control.x = SCALED( point->x );
              v_control.y = SCALED( point->y );
    
            Do_Conic:
              if ( point < limit )
              {
                FT_Vector  vec;
                FT_Vector  v_middle;
    
    
                point++;
                tags++;
                tag = FT_CURVE_TAG( tags[0] );
    
                vec.x = SCALED( point->x );
                vec.y = SCALED( point->y );
    
                if ( tag == FT_CURVE_TAG_ON )
                {
                  FT_TRACE5(( "  conic to (%.2f, %.2f)"
                              " with control (%.2f, %.2f)\n",
                              (double)vec.x / 64,
                              (double)vec.y / 64,
                              (double)v_control.x / 64,
                              (double)v_control.y / 64 ));
                  error = func_interface->conic_to( &v_control, &vec, user );
                  if ( error )
                    goto Exit;
                  continue;
                }
    
                if ( tag != FT_CURVE_TAG_CONIC )
                  goto Invalid_Outline;
    
                v_middle.x = ( v_control.x + vec.x ) / 2;
                v_middle.y = ( v_control.y + vec.y ) / 2;
    
                FT_TRACE5(( "  conic to (%.2f, %.2f)"
                            " with control (%.2f, %.2f)\n",
                            (double)v_middle.x / 64,
                            (double)v_middle.y / 64,
                            (double)v_control.x / 64,
                            (double)v_control.y / 64 ));
                error = func_interface->conic_to( &v_control, &v_middle, user );
                if ( error )
                  goto Exit;
    
                v_control = vec;
                goto Do_Conic;
              }
    
              FT_TRACE5(( "  conic to (%.2f, %.2f)"
                          " with control (%.2f, %.2f)\n",
                          (double)v_start.x / 64,
                          (double)v_start.y / 64,
                          (double)v_control.x / 64,
                          (double)v_control.y / 64 ));
              error = func_interface->conic_to( &v_control, &v_start, user );
              goto Close;
    
            default:  /* FT_CURVE_TAG_CUBIC */
              {
                FT_Vector  vec1, vec2;
    
    
                if ( point + 1 > limit                             ||
                     FT_CURVE_TAG( tags[1] ) != FT_CURVE_TAG_CUBIC )
                  goto Invalid_Outline;
    
                point += 2;
                tags  += 2;
    
                vec1.x = SCALED( point[-2].x );
                vec1.y = SCALED( point[-2].y );
    
                vec2.x = SCALED( point[-1].x );
                vec2.y = SCALED( point[-1].y );
    
                if ( point <= limit )
                {
                  FT_Vector  vec;
    
    
                  vec.x = SCALED( point->x );
                  vec.y = SCALED( point->y );
    
                  FT_TRACE5(( "  cubic to (%.2f, %.2f)"
                              " with controls (%.2f, %.2f) and (%.2f, %.2f)\n",
                              (double)vec.x / 64,
                              (double)vec.y / 64,
                              (double)vec1.x / 64,
                              (double)vec1.y / 64,
                              (double)vec2.x / 64,
                              (double)vec2.y / 64 ));
                  error = func_interface->cubic_to( &vec1, &vec2, &vec, user );
                  if ( error )
                    goto Exit;
                  continue;
                }
    
                FT_TRACE5(( "  cubic to (%.2f, %.2f)"
                            " with controls (%.2f, %.2f) and (%.2f, %.2f)\n",
                            (double)v_start.x / 64,
                            (double)v_start.y / 64,
                            (double)vec1.x / 64,
                            (double)vec1.y / 64,
                            (double)vec2.x / 64,
                            (double)vec2.y / 64 ));
                error = func_interface->cubic_to( &vec1, &vec2, &v_start, user );
                goto Close;
              }
            }
          }
    
          /* close the contour with a line segment */
          FT_TRACE5(( "  line to (%.2f, %.2f)\n",
                      (double)v_start.x / 64, (double)v_start.y / 64 ));
          error = func_interface->line_to( &v_start, user );
    
        Close:
          if ( error )
            goto Exit;
        }
    
        FT_TRACE5(( "FT_Outline_Decompose: Done\n" ));
        return FT_Err_Ok;
    
      Invalid_Outline:
        error = FT_THROW( Invalid_Outline );
        /* fall through */
    
      Exit:
        FT_TRACE5(( "FT_Outline_Decompose: Error 0x%x\n", error ));
        return error;
      }
    
    
      /* documentation is in ftoutln.h */
    
      FT_EXPORT_DEF( FT_Error )
      FT_Outline_New( FT_Library   library,
                      FT_UInt      numPoints,
                      FT_Int       numContours,
                      FT_Outline  *anoutline )
      {
        FT_Error   error;
        FT_Memory  memory;
    
    
        if ( !library )
          return FT_THROW( Invalid_Library_Handle );
    
        memory = library->memory;
    
        if ( !anoutline || !memory )
          return FT_THROW( Invalid_Argument );
    
        *anoutline = null_outline;
    
        if ( numContours < 0                  ||
             (FT_UInt)numContours > numPoints )
          return FT_THROW( Invalid_Argument );
    
        if ( numPoints > FT_OUTLINE_POINTS_MAX )
          return FT_THROW( Array_Too_Large );
    
        if ( FT_NEW_ARRAY( anoutline->points,   numPoints   ) ||
             FT_NEW_ARRAY( anoutline->tags,     numPoints   ) ||
             FT_NEW_ARRAY( anoutline->contours, numContours ) )
          goto Fail;
    
        anoutline->n_points    = (FT_UShort)numPoints;
        anoutline->n_contours  = (FT_UShort)numContours;
        anoutline->flags      |= FT_OUTLINE_OWNER;
    
        return FT_Err_Ok;
    
      Fail:
        anoutline->flags |= FT_OUTLINE_OWNER;
        FT_Outline_Done( library, anoutline );
    
        return error;
      }
    
    
      /* documentation is in ftoutln.h */
    
      FT_EXPORT_DEF( FT_Error )
      FT_Outline_Check( FT_Outline*  outline )
      {
        if ( outline )
        {
          FT_Int  n_points   = outline->n_points;
          FT_Int  n_contours = outline->n_contours;
          FT_Int  end0, end;
          FT_Int  n;
    
    
          FT_TRACE5(( "FT_Outline_Check: contours = %d, points = %d\n",
                      n_contours, n_points ));
          /* empty glyph? */
          if ( n_points == 0 && n_contours == 0 )
            return FT_Err_Ok;
    
          /* check point and contour counts */
          if ( n_points == 0 || n_contours == 0 )
            goto Bad;
    
          end0 = -1;
          for ( n = 0; n < n_contours; n++ )
          {
            end = outline->contours[n];
    
            /* note that we don't accept empty contours */
            if ( end <= end0 || end >= n_points )
              goto Bad;
    
            end0 = end;
          }
    
          if ( end0 != n_points - 1 )
            goto Bad;
    
          /* XXX: check the tags array */
          return FT_Err_Ok;
        }
    
      Bad:
        return FT_THROW( Invalid_Outline );
      }
    
    
      /* documentation is in ftoutln.h */
    
      FT_EXPORT_DEF( FT_Error )
      FT_Outline_Copy( const FT_Outline*  source,
                       FT_Outline        *target )
      {
        FT_Int  is_owner;
    
    
        if ( !source || !target )
          return FT_THROW( Invalid_Outline );
    
        if ( source->n_points   != target->n_points   ||
             source->n_contours != target->n_contours )
          return FT_THROW( Invalid_Argument );
    
        if ( source == target )
          return FT_Err_Ok;
    
        if ( source->n_points )
        {
          FT_ARRAY_COPY( target->points, source->points, source->n_points );
          FT_ARRAY_COPY( target->tags,   source->tags,   source->n_points );
        }
    
        if ( source->n_contours )
          FT_ARRAY_COPY( target->contours, source->contours, source->n_contours );
    
        /* copy all flags, except the `FT_OUTLINE_OWNER' one */
        is_owner      = target->flags & FT_OUTLINE_OWNER;
        target->flags = source->flags;
    
        target->flags &= ~FT_OUTLINE_OWNER;
        target->flags |= is_owner;
    
        return FT_Err_Ok;
      }
    
    
      /* documentation is in ftoutln.h */
    
      FT_EXPORT_DEF( FT_Error )
      FT_Outline_Done( FT_Library   library,
                       FT_Outline*  outline )
      {
        FT_Memory  memory;
    
    
        if ( !library )
          return FT_THROW( Invalid_Library_Handle );
    
        if ( !outline )
          return FT_THROW( Invalid_Outline );
    
        memory = library->memory;
    
        if ( !memory )
          return FT_THROW( Invalid_Argument );
    
        if ( outline->flags & FT_OUTLINE_OWNER )
        {
          FT_FREE( outline->points   );
          FT_FREE( outline->tags     );
          FT_FREE( outline->contours );
        }
        *outline = null_outline;
    
        return FT_Err_Ok;
      }
    
    
      /* documentation is in ftoutln.h */
    
      FT_EXPORT_DEF( void )
      FT_Outline_Get_CBox( const FT_Outline*  outline,
                           FT_BBox           *acbox )
      {
        FT_Pos  xMin, yMin, xMax, yMax;
    
    
        if ( outline && acbox )
        {
          if ( outline->n_points == 0 )
          {
            xMin = 0;
            yMin = 0;
            xMax = 0;
            yMax = 0;
          }
          else
          {
            FT_Vector*  vec   = outline->points;
            FT_Vector*  limit = vec + outline->n_points;
    
    
            xMin = xMax = vec->x;
            yMin = yMax = vec->y;
            vec++;
    
            for ( ; vec < limit; vec++ )
            {
              FT_Pos  x, y;
    
    
              x = vec->x;
              if ( x < xMin ) xMin = x;
              if ( x > xMax ) xMax = x;
    
              y = vec->y;
              if ( y < yMin ) yMin = y;
              if ( y > yMax ) yMax = y;
            }
          }
          acbox->xMin = xMin;
          acbox->xMax = xMax;
          acbox->yMin = yMin;
          acbox->yMax = yMax;
        }
      }
    
    
      /* documentation is in ftoutln.h */
    
      FT_EXPORT_DEF( void )
      FT_Outline_Translate( const FT_Outline*  outline,
                            FT_Pos             xOffset,
                            FT_Pos             yOffset )
      {
        FT_UShort   n;
        FT_Vector*  vec;
    
    
        if ( !outline )
          return;
    
        vec = outline->points;
    
        for ( n = 0; n < outline->n_points; n++ )
        {
          vec->x = ADD_LONG( vec->x, xOffset );
          vec->y = ADD_LONG( vec->y, yOffset );
          vec++;
        }
      }
    
    
      /* documentation is in ftoutln.h */
    
      FT_EXPORT_DEF( void )
      FT_Outline_Reverse( FT_Outline*  outline )
      {
        FT_UShort  n;
        FT_Int     first, last;
    
    
        if ( !outline )
          return;
    
        last = -1;
        for ( n = 0; n < outline->n_contours; n++ )
        {
          /* keep the first contour point as is and swap points around it */
          /* to guarantee that the cubic arches stay valid after reverse  */
          first = last + 2;
          last  = outline->contours[n];
    
          /* reverse point table */
          {
            FT_Vector*  p = outline->points + first;
            FT_Vector*  q = outline->points + last;
            FT_Vector   swap;
    
    
            while ( p < q )
            {
              swap = *p;
              *p   = *q;
              *q   = swap;
              p++;
              q--;
            }
          }
    
          /* reverse tags table */
          {
            FT_Byte*  p = outline->tags + first;
            FT_Byte*  q = outline->tags + last;
    
    
            while ( p < q )
            {
              FT_Byte  swap;
    
    
              swap = *p;
              *p   = *q;
              *q   = swap;
              p++;
              q--;
            }
          }
        }
    
        outline->flags ^= FT_OUTLINE_REVERSE_FILL;
      }
    
    
      /* documentation is in ftoutln.h */
    
      FT_EXPORT_DEF( FT_Error )
      FT_Outline_Render( FT_Library         library,
                         FT_Outline*        outline,
                         FT_Raster_Params*  params )
      {
        FT_Error     error;
        FT_Renderer  renderer;
        FT_ListNode  node;
        FT_BBox      cbox;
    
    
        if ( !library )
          return FT_THROW( Invalid_Library_Handle );
    
        if ( !outline )
          return FT_THROW( Invalid_Outline );
    
        if ( !params )
          return FT_THROW( Invalid_Argument );
    
        FT_Outline_Get_CBox( outline, &cbox );
        if ( cbox.xMin < -0x1000000L || cbox.yMin < -0x1000000L ||
             cbox.xMax >  0x1000000L || cbox.yMax >  0x1000000L )
          return FT_THROW( Invalid_Outline );
    
        renderer = library->cur_renderer;
        node     = library->renderers.head;
    
        params->source = (void*)outline;
    
        /* preset clip_box for direct mode */
        if ( params->flags & FT_RASTER_FLAG_DIRECT    &&
             !( params->flags & FT_RASTER_FLAG_CLIP ) )
        {
          params->clip_box.xMin = cbox.xMin >> 6;
          params->clip_box.yMin = cbox.yMin >> 6;
          params->clip_box.xMax = ( cbox.xMax + 63 ) >> 6;
          params->clip_box.yMax = ( cbox.yMax + 63 ) >> 6;
        }
    
        error = FT_ERR( Cannot_Render_Glyph );
        while ( renderer )
        {
          error = renderer->raster_render( renderer->raster, params );
          if ( !error || FT_ERR_NEQ( error, Cannot_Render_Glyph ) )
            break;
    
          /* FT_Err_Cannot_Render_Glyph is returned if the render mode   */
          /* is unsupported by the current renderer for this glyph image */
          /* format                                                      */
    
          /* now, look for another renderer that supports the same */
          /* format                                                */
          renderer = FT_Lookup_Renderer( library, FT_GLYPH_FORMAT_OUTLINE,
                                         &node );
        }
    
        return error;
      }
    
    
      /* documentation is in ftoutln.h */
    
      FT_EXPORT_DEF( FT_Error )
      FT_Outline_Get_Bitmap( FT_Library        library,
                             FT_Outline*       outline,
                             const FT_Bitmap  *abitmap )
      {
        FT_Raster_Params  params;
    
    
        if ( !abitmap )
          return FT_THROW( Invalid_Argument );
    
        /* other checks are delayed to `FT_Outline_Render' */
    
        params.target = abitmap;
        params.flags  = 0;
    
        if ( abitmap->pixel_mode == FT_PIXEL_MODE_GRAY  ||
             abitmap->pixel_mode == FT_PIXEL_MODE_LCD   ||
             abitmap->pixel_mode == FT_PIXEL_MODE_LCD_V )
          params.flags |= FT_RASTER_FLAG_AA;
    
        return FT_Outline_Render( library, outline, &params );
      }
    
    
      /* documentation is in freetype.h */
    
      FT_EXPORT_DEF( void )
      FT_Vector_Transform( FT_Vector*        vector,
                           const FT_Matrix*  matrix )
      {
        FT_Pos  xz, yz;
    
    
        if ( !vector || !matrix )
          return;
    
        xz = FT_MulFix( vector->x, matrix->xx ) +
             FT_MulFix( vector->y, matrix->xy );
    
        yz = FT_MulFix( vector->x, matrix->yx ) +
             FT_MulFix( vector->y, matrix->yy );
    
        vector->x = xz;
        vector->y = yz;
      }
    
    
      /* documentation is in ftoutln.h */
    
      FT_EXPORT_DEF( void )
      FT_Outline_Transform( const FT_Outline*  outline,
                            const FT_Matrix*   matrix )
      {
        FT_Vector*  vec;
        FT_Vector*  limit;
    
    
        if ( !outline || !matrix || !outline->points )
          return;
    
        vec   = outline->points;
        limit = vec + outline->n_points;
    
        for ( ; vec < limit; vec++ )
          FT_Vector_Transform( vec, matrix );
      }
    
    
    #if 0
    
    #define FT_OUTLINE_GET_CONTOUR( outline, c, first, last )  \
      do                                                       \
      {                                                        \
        (first) = ( c > 0 ) ? (outline)->points +              \
                                (outline)->contours[c - 1] + 1 \
                            : (outline)->points;               \
        (last) = (outline)->points + (outline)->contours[c];   \
      } while ( 0 )
    
    
      /* Is a point in some contour?                     */
      /*                                                 */
      /* We treat every point of the contour as if it    */
      /* it were ON.  That is, we allow false positives, */
      /* but disallow false negatives.  (XXX really?)    */
      static FT_Bool
      ft_contour_has( FT_Outline*  outline,
                      FT_Short     c,
                      FT_Vector*   point )
      {
        FT_Vector*  first;
        FT_Vector*  last;
        FT_Vector*  a;
        FT_Vector*  b;
        FT_UInt     n = 0;
    
    
        FT_OUTLINE_GET_CONTOUR( outline, c, first, last );
    
        for ( a = first; a <= last; a++ )
        {
          FT_Pos  x;
          FT_Int  intersect;
    
    
          b = ( a == last ) ? first : a + 1;
    
          intersect = ( a->y - point->y ) ^ ( b->y - point->y );
    
          /* a and b are on the same side */
          if ( intersect >= 0 )
          {
            if ( intersect == 0 && a->y == point->y )
            {
              if ( ( a->x <= point->x && b->x >= point->x ) ||
                   ( a->x >= point->x && b->x <= point->x ) )
                return 1;
            }
    
            continue;
          }
    
          x = a->x + ( b->x - a->x ) * (point->y - a->y ) / ( b->y - a->y );
    
          if ( x < point->x )
            n++;
          else if ( x == point->x )
            return 1;
        }
    
        return n & 1;
      }
    
    
      static FT_Bool
      ft_contour_enclosed( FT_Outline*  outline,
                           FT_UShort    c )
      {
        FT_Vector*  first;
        FT_Vector*  last;
        FT_Short    i;
    
    
        FT_OUTLINE_GET_CONTOUR( outline, c, first, last );
    
        for ( i = 0; i < outline->n_contours; i++ )
        {
          if ( i != c && ft_contour_has( outline, i, first ) )
          {
            FT_Vector*  pt;
    
    
            for ( pt = first + 1; pt <= last; pt++ )
              if ( !ft_contour_has( outline, i, pt ) )
                return 0;
    
            return 1;
          }
        }
    
        return 0;
      }
    
    
      /* This version differs from the public one in that each */
      /* part (contour not enclosed in another contour) of the */
      /* outline is checked for orientation.  This is          */
      /* necessary for some buggy CJK fonts.                   */
      static FT_Orientation
      ft_outline_get_orientation( FT_Outline*  outline )
      {
        FT_Short        i;
        FT_Vector*      first;
        FT_Vector*      last;
        FT_Orientation  orient = FT_ORIENTATION_NONE;
    
    
        first = outline->points;
        for ( i = 0; i < outline->n_contours; i++, first = last + 1 )
        {
          FT_Vector*  point;
          FT_Vector*  xmin_point;
          FT_Pos      xmin;
    
    
          last = outline->points + outline->contours[i];
    
          /* skip degenerate contours */
          if ( last < first + 2 )
            continue;
    
          if ( ft_contour_enclosed( outline, i ) )
            continue;
    
          xmin       = first->x;
          xmin_point = first;
    
          for ( point = first + 1; point <= last; point++ )
          {
            if ( point->x < xmin )
            {
              xmin       = point->x;
              xmin_point = point;
            }
          }
    
          /* check the orientation of the contour */
          {
            FT_Vector*      prev;
            FT_Vector*      next;
            FT_Orientation  o;
    
    
            prev = ( xmin_point == first ) ? last : xmin_point - 1;
            next = ( xmin_point == last ) ? first : xmin_point + 1;
    
            if ( FT_Atan2( prev->x - xmin_point->x, prev->y - xmin_point->y ) >
                 FT_Atan2( next->x - xmin_point->x, next->y - xmin_point->y ) )
              o = FT_ORIENTATION_POSTSCRIPT;
            else
              o = FT_ORIENTATION_TRUETYPE;
    
            if ( orient == FT_ORIENTATION_NONE )
              orient = o;
            else if ( orient != o )
              return FT_ORIENTATION_NONE;
          }
        }
    
        return orient;
      }
    
    #endif /* 0 */
    
    
      /* documentation is in ftoutln.h */
    
      FT_EXPORT_DEF( FT_Error )
      FT_Outline_Embolden( FT_Outline*  outline,
                           FT_Pos       strength )
      {
        return FT_Outline_EmboldenXY( outline, strength, strength );
      }
    
    
      /* documentation is in ftoutln.h */
    
      FT_EXPORT_DEF( FT_Error )
      FT_Outline_EmboldenXY( FT_Outline*  outline,
                             FT_Pos       xstrength,
                             FT_Pos       ystrength )
      {
        FT_Vector*      points;
        FT_Int          c, first, last;
        FT_Orientation  orientation;
    
    
        if ( !outline )
          return FT_THROW( Invalid_Outline );
    
        xstrength /= 2;
        ystrength /= 2;
        if ( xstrength == 0 && ystrength == 0 )
          return FT_Err_Ok;
    
        orientation = FT_Outline_Get_Orientation( outline );
        if ( orientation == FT_ORIENTATION_NONE )
        {
          if ( outline->n_contours )
            return FT_THROW( Invalid_Argument );
          else
            return FT_Err_Ok;
        }
    
        points = outline->points;
    
        last = -1;
        for ( c = 0; c < outline->n_contours; c++ )
        {
          FT_Vector  in, out, anchor, shift;
          FT_Fixed   l_in, l_out, l_anchor = 0, l, q, d;
          FT_Int     i, j, k;
    
    
          first = last + 1;
          last  = outline->contours[c];
          l_in  = 0;
    
          /* pacify compiler */
          in.x = in.y = anchor.x = anchor.y = 0;
    
          /* Counter j cycles though the points; counter i advances only  */
          /* when points are moved; anchor k marks the first moved point. */
          for ( i = last, j = first, k = -1;
                j != i && i != k;
                j = j < last ? j + 1 : first )
          {
            if ( j != k )
            {
              out.x = points[j].x - points[i].x;
              out.y = points[j].y - points[i].y;
              l_out = (FT_Fixed)FT_Vector_NormLen( &out );
    
              if ( l_out == 0 )
                continue;
            }
            else
            {
              out   = anchor;
              l_out = l_anchor;
            }
    
            if ( l_in != 0 )
            {
              if ( k < 0 )
              {
                k        = i;
                anchor   = in;
                l_anchor = l_in;
              }
    
              d = FT_MulFix( in.x, out.x ) + FT_MulFix( in.y, out.y );
    
              /* shift only if turn is less than ~160 degrees */
              if ( d > -0xF000L )
              {
                d = d + 0x10000L;
    
                /* shift components along lateral bisector in proper orientation */
                shift.x = in.y + out.y;
                shift.y = in.x + out.x;
    
                if ( orientation == FT_ORIENTATION_TRUETYPE )
                  shift.x = -shift.x;
                else
                  shift.y = -shift.y;
    
                /* restrict shift magnitude to better handle collapsing segments */
                q = FT_MulFix( out.x, in.y ) - FT_MulFix( out.y, in.x );
                if ( orientation == FT_ORIENTATION_TRUETYPE )
                  q = -q;
    
                l = FT_MIN( l_in, l_out );
    
                /* non-strict inequalities avoid divide-by-zero when q == l == 0 */
                if ( FT_MulFix( xstrength, q ) <= FT_MulFix( l, d ) )
                  shift.x = FT_MulDiv( shift.x, xstrength, d );
                else
                  shift.x = FT_MulDiv( shift.x, l, q );
    
    
                if ( FT_MulFix( ystrength, q ) <= FT_MulFix( l, d ) )
                  shift.y = FT_MulDiv( shift.y, ystrength, d );
                else
                  shift.y = FT_MulDiv( shift.y, l, q );
              }
              else
                shift.x = shift.y = 0;
    
              for ( ;
                    i != j;
                    i = i < last ? i + 1 : first )
              {
                points[i].x += xstrength + shift.x;
                points[i].y += ystrength + shift.y;
              }
            }
            else
              i = j;
    
            in   = out;
            l_in = l_out;
          }
        }
    
        return FT_Err_Ok;
      }
    
    
      /* documentation is in ftoutln.h */
    
      FT_EXPORT_DEF( FT_Orientation )
      FT_Outline_Get_Orientation( FT_Outline*  outline )
      {
        FT_BBox     cbox = { 0, 0, 0, 0 };
        FT_Int      xshift, yshift;
        FT_Vector*  points;
        FT_Vector   v_prev, v_cur;
        FT_Int      c, n, first, last;
        FT_Pos      area = 0;
    
    
        if ( !outline || outline->n_points <= 0 )
          return FT_ORIENTATION_TRUETYPE;
    
        /* We use the nonzero winding rule to find the orientation.       */
        /* Since glyph outlines behave much more `regular' than arbitrary */
        /* cubic or quadratic curves, this test deals with the polygon    */
        /* only that is spanned up by the control points.                 */
    
        FT_Outline_Get_CBox( outline, &cbox );
    
        /* Handle collapsed outlines to avoid undefined FT_MSB. */
        if ( cbox.xMin == cbox.xMax || cbox.yMin == cbox.yMax )
          return FT_ORIENTATION_NONE;
    
        /* Reject values large outlines. */
        if ( cbox.xMin < -0x1000000L || cbox.yMin < -0x1000000L ||
             cbox.xMax >  0x1000000L || cbox.yMax >  0x1000000L )
          return FT_ORIENTATION_NONE;
    
        xshift = FT_MSB( (FT_UInt32)( FT_ABS( cbox.xMax ) |
                                      FT_ABS( cbox.xMin ) ) ) - 14;
        xshift = FT_MAX( xshift, 0 );
    
        yshift = FT_MSB( (FT_UInt32)( cbox.yMax - cbox.yMin ) ) - 14;
        yshift = FT_MAX( yshift, 0 );
    
        points = outline->points;
    
        last = -1;
        for ( c = 0; c < outline->n_contours; c++ )
        {
          first = last + 1;
          last  = outline->contours[c];
    
          v_prev.x = points[last].x >> xshift;
          v_prev.y = points[last].y >> yshift;
    
          for ( n = first; n <= last; n++ )
          {
            v_cur.x = points[n].x >> xshift;
            v_cur.y = points[n].y >> yshift;
    
            area = ADD_LONG( area,
                             MUL_LONG( v_cur.y - v_prev.y,
                                       v_cur.x + v_prev.x ) );
    
            v_prev = v_cur;
          }
        }
    
        if ( area > 0 )
          return FT_ORIENTATION_POSTSCRIPT;
        else if ( area < 0 )
          return FT_ORIENTATION_TRUETYPE;
        else
          return FT_ORIENTATION_NONE;
      }
    
    
    /* END */