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      1 /***************************************************************************/
      2 /*                                                                         */
      3 /*  ftoutln.c                                                              */
      4 /*                                                                         */
      5 /*    FreeType outline management (body).                                  */
      6 /*                                                                         */
      7 /*  Copyright 1996-2008, 2010, 2012-2013 by                                */
      8 /*  David Turner, Robert Wilhelm, and Werner Lemberg.                      */
      9 /*                                                                         */
     10 /*  This file is part of the FreeType project, and may only be used,       */
     11 /*  modified, and distributed under the terms of the FreeType project      */
     12 /*  license, LICENSE.TXT.  By continuing to use, modify, or distribute     */
     13 /*  this file you indicate that you have read the license and              */
     14 /*  understand and accept it fully.                                        */
     15 /*                                                                         */
     16 /***************************************************************************/
     17 
     18 
     19   /*************************************************************************/
     20   /*                                                                       */
     21   /* All functions are declared in freetype.h.                             */
     22   /*                                                                       */
     23   /*************************************************************************/
     24 
     25 
     26 #include <ft2build.h>
     27 #include FT_OUTLINE_H
     28 #include FT_INTERNAL_OBJECTS_H
     29 #include FT_INTERNAL_CALC_H
     30 #include FT_INTERNAL_DEBUG_H
     31 #include FT_TRIGONOMETRY_H
     32 
     33 
     34   /*************************************************************************/
     35   /*                                                                       */
     36   /* The macro FT_COMPONENT is used in trace mode.  It is an implicit      */
     37   /* parameter of the FT_TRACE() and FT_ERROR() macros, used to print/log  */
     38   /* messages during execution.                                            */
     39   /*                                                                       */
     40 #undef  FT_COMPONENT
     41 #define FT_COMPONENT  trace_outline
     42 
     43 
     44   static
     45   const FT_Outline  null_outline = { 0, 0, 0, 0, 0, 0 };
     46 
     47 
     48   /* documentation is in ftoutln.h */
     49 
     50   FT_EXPORT_DEF( FT_Error )
     51   FT_Outline_Decompose( FT_Outline*              outline,
     52                         const FT_Outline_Funcs*  func_interface,
     53                         void*                    user )
     54   {
     55 #undef SCALED
     56 #define SCALED( x )  ( ( (x) << shift ) - delta )
     57 
     58     FT_Vector   v_last;
     59     FT_Vector   v_control;
     60     FT_Vector   v_start;
     61 
     62     FT_Vector*  point;
     63     FT_Vector*  limit;
     64     char*       tags;
     65 
     66     FT_Error    error;
     67 
     68     FT_Int   n;         /* index of contour in outline     */
     69     FT_UInt  first;     /* index of first point in contour */
     70     FT_Int   tag;       /* current point's state           */
     71 
     72     FT_Int   shift;
     73     FT_Pos   delta;
     74 
     75 
     76     if ( !outline || !func_interface )
     77       return FT_THROW( Invalid_Argument );
     78 
     79     shift = func_interface->shift;
     80     delta = func_interface->delta;
     81     first = 0;
     82 
     83     for ( n = 0; n < outline->n_contours; n++ )
     84     {
     85       FT_Int  last;  /* index of last point in contour */
     86 
     87 
     88       FT_TRACE5(( "FT_Outline_Decompose: Outline %d\n", n ));
     89 
     90       last = outline->contours[n];
     91       if ( last < 0 )
     92         goto Invalid_Outline;
     93       limit = outline->points + last;
     94 
     95       v_start   = outline->points[first];
     96       v_start.x = SCALED( v_start.x );
     97       v_start.y = SCALED( v_start.y );
     98 
     99       v_last   = outline->points[last];
    100       v_last.x = SCALED( v_last.x );
    101       v_last.y = SCALED( v_last.y );
    102 
    103       v_control = v_start;
    104 
    105       point = outline->points + first;
    106       tags  = outline->tags   + first;
    107       tag   = FT_CURVE_TAG( tags[0] );
    108 
    109       /* A contour cannot start with a cubic control point! */
    110       if ( tag == FT_CURVE_TAG_CUBIC )
    111         goto Invalid_Outline;
    112 
    113       /* check first point to determine origin */
    114       if ( tag == FT_CURVE_TAG_CONIC )
    115       {
    116         /* first point is conic control.  Yes, this happens. */
    117         if ( FT_CURVE_TAG( outline->tags[last] ) == FT_CURVE_TAG_ON )
    118         {
    119           /* start at last point if it is on the curve */
    120           v_start = v_last;
    121           limit--;
    122         }
    123         else
    124         {
    125           /* if both first and last points are conic,         */
    126           /* start at their middle and record its position    */
    127           /* for closure                                      */
    128           v_start.x = ( v_start.x + v_last.x ) / 2;
    129           v_start.y = ( v_start.y + v_last.y ) / 2;
    130 
    131           v_last = v_start;
    132         }
    133         point--;
    134         tags--;
    135       }
    136 
    137       FT_TRACE5(( "  move to (%.2f, %.2f)\n",
    138                   v_start.x / 64.0, v_start.y / 64.0 ));
    139       error = func_interface->move_to( &v_start, user );
    140       if ( error )
    141         goto Exit;
    142 
    143       while ( point < limit )
    144       {
    145         point++;
    146         tags++;
    147 
    148         tag = FT_CURVE_TAG( tags[0] );
    149         switch ( tag )
    150         {
    151         case FT_CURVE_TAG_ON:  /* emit a single line_to */
    152           {
    153             FT_Vector  vec;
    154 
    155 
    156             vec.x = SCALED( point->x );
    157             vec.y = SCALED( point->y );
    158 
    159             FT_TRACE5(( "  line to (%.2f, %.2f)\n",
    160                         vec.x / 64.0, vec.y / 64.0 ));
    161             error = func_interface->line_to( &vec, user );
    162             if ( error )
    163               goto Exit;
    164             continue;
    165           }
    166 
    167         case FT_CURVE_TAG_CONIC:  /* consume conic arcs */
    168           v_control.x = SCALED( point->x );
    169           v_control.y = SCALED( point->y );
    170 
    171         Do_Conic:
    172           if ( point < limit )
    173           {
    174             FT_Vector  vec;
    175             FT_Vector  v_middle;
    176 
    177 
    178             point++;
    179             tags++;
    180             tag = FT_CURVE_TAG( tags[0] );
    181 
    182             vec.x = SCALED( point->x );
    183             vec.y = SCALED( point->y );
    184 
    185             if ( tag == FT_CURVE_TAG_ON )
    186             {
    187               FT_TRACE5(( "  conic to (%.2f, %.2f)"
    188                           " with control (%.2f, %.2f)\n",
    189                           vec.x / 64.0, vec.y / 64.0,
    190                           v_control.x / 64.0, v_control.y / 64.0 ));
    191               error = func_interface->conic_to( &v_control, &vec, user );
    192               if ( error )
    193                 goto Exit;
    194               continue;
    195             }
    196 
    197             if ( tag != FT_CURVE_TAG_CONIC )
    198               goto Invalid_Outline;
    199 
    200             v_middle.x = ( v_control.x + vec.x ) / 2;
    201             v_middle.y = ( v_control.y + vec.y ) / 2;
    202 
    203             FT_TRACE5(( "  conic to (%.2f, %.2f)"
    204                         " with control (%.2f, %.2f)\n",
    205                         v_middle.x / 64.0, v_middle.y / 64.0,
    206                         v_control.x / 64.0, v_control.y / 64.0 ));
    207             error = func_interface->conic_to( &v_control, &v_middle, user );
    208             if ( error )
    209               goto Exit;
    210 
    211             v_control = vec;
    212             goto Do_Conic;
    213           }
    214 
    215           FT_TRACE5(( "  conic to (%.2f, %.2f)"
    216                       " with control (%.2f, %.2f)\n",
    217                       v_start.x / 64.0, v_start.y / 64.0,
    218                       v_control.x / 64.0, v_control.y / 64.0 ));
    219           error = func_interface->conic_to( &v_control, &v_start, user );
    220           goto Close;
    221 
    222         default:  /* FT_CURVE_TAG_CUBIC */
    223           {
    224             FT_Vector  vec1, vec2;
    225 
    226 
    227             if ( point + 1 > limit                             ||
    228                  FT_CURVE_TAG( tags[1] ) != FT_CURVE_TAG_CUBIC )
    229               goto Invalid_Outline;
    230 
    231             point += 2;
    232             tags  += 2;
    233 
    234             vec1.x = SCALED( point[-2].x );
    235             vec1.y = SCALED( point[-2].y );
    236 
    237             vec2.x = SCALED( point[-1].x );
    238             vec2.y = SCALED( point[-1].y );
    239 
    240             if ( point <= limit )
    241             {
    242               FT_Vector  vec;
    243 
    244 
    245               vec.x = SCALED( point->x );
    246               vec.y = SCALED( point->y );
    247 
    248               FT_TRACE5(( "  cubic to (%.2f, %.2f)"
    249                           " with controls (%.2f, %.2f) and (%.2f, %.2f)\n",
    250                           vec.x / 64.0, vec.y / 64.0,
    251                           vec1.x / 64.0, vec1.y / 64.0,
    252                           vec2.x / 64.0, vec2.y / 64.0 ));
    253               error = func_interface->cubic_to( &vec1, &vec2, &vec, user );
    254               if ( error )
    255                 goto Exit;
    256               continue;
    257             }
    258 
    259             FT_TRACE5(( "  cubic to (%.2f, %.2f)"
    260                         " with controls (%.2f, %.2f) and (%.2f, %.2f)\n",
    261                         v_start.x / 64.0, v_start.y / 64.0,
    262                         vec1.x / 64.0, vec1.y / 64.0,
    263                         vec2.x / 64.0, vec2.y / 64.0 ));
    264             error = func_interface->cubic_to( &vec1, &vec2, &v_start, user );
    265             goto Close;
    266           }
    267         }
    268       }
    269 
    270       /* close the contour with a line segment */
    271       FT_TRACE5(( "  line to (%.2f, %.2f)\n",
    272                   v_start.x / 64.0, v_start.y / 64.0 ));
    273       error = func_interface->line_to( &v_start, user );
    274 
    275     Close:
    276       if ( error )
    277         goto Exit;
    278 
    279       first = last + 1;
    280     }
    281 
    282     FT_TRACE5(( "FT_Outline_Decompose: Done\n", n ));
    283     return FT_Err_Ok;
    284 
    285   Exit:
    286     FT_TRACE5(( "FT_Outline_Decompose: Error %d\n", error ));
    287     return error;
    288 
    289   Invalid_Outline:
    290     return FT_THROW( Invalid_Outline );
    291   }
    292 
    293 
    294   FT_EXPORT_DEF( FT_Error )
    295   FT_Outline_New_Internal( FT_Memory    memory,
    296                            FT_UInt      numPoints,
    297                            FT_Int       numContours,
    298                            FT_Outline  *anoutline )
    299   {
    300     FT_Error  error;
    301 
    302 
    303     if ( !anoutline || !memory )
    304       return FT_THROW( Invalid_Argument );
    305 
    306     *anoutline = null_outline;
    307 
    308     if ( numContours < 0                  ||
    309          (FT_UInt)numContours > numPoints )
    310       return FT_THROW( Invalid_Argument );
    311 
    312     if ( numPoints > FT_OUTLINE_POINTS_MAX )
    313       return FT_THROW( Array_Too_Large );
    314 
    315     if ( FT_NEW_ARRAY( anoutline->points,   numPoints   ) ||
    316          FT_NEW_ARRAY( anoutline->tags,     numPoints   ) ||
    317          FT_NEW_ARRAY( anoutline->contours, numContours ) )
    318       goto Fail;
    319 
    320     anoutline->n_points    = (FT_UShort)numPoints;
    321     anoutline->n_contours  = (FT_Short)numContours;
    322     anoutline->flags      |= FT_OUTLINE_OWNER;
    323 
    324     return FT_Err_Ok;
    325 
    326   Fail:
    327     anoutline->flags |= FT_OUTLINE_OWNER;
    328     FT_Outline_Done_Internal( memory, anoutline );
    329 
    330     return error;
    331   }
    332 
    333 
    334   /* documentation is in ftoutln.h */
    335 
    336   FT_EXPORT_DEF( FT_Error )
    337   FT_Outline_New( FT_Library   library,
    338                   FT_UInt      numPoints,
    339                   FT_Int       numContours,
    340                   FT_Outline  *anoutline )
    341   {
    342     if ( !library )
    343       return FT_THROW( Invalid_Library_Handle );
    344 
    345     return FT_Outline_New_Internal( library->memory, numPoints,
    346                                     numContours, anoutline );
    347   }
    348 
    349 
    350   /* documentation is in ftoutln.h */
    351 
    352   FT_EXPORT_DEF( FT_Error )
    353   FT_Outline_Check( FT_Outline*  outline )
    354   {
    355     if ( outline )
    356     {
    357       FT_Int  n_points   = outline->n_points;
    358       FT_Int  n_contours = outline->n_contours;
    359       FT_Int  end0, end;
    360       FT_Int  n;
    361 
    362 
    363       /* empty glyph? */
    364       if ( n_points == 0 && n_contours == 0 )
    365         return 0;
    366 
    367       /* check point and contour counts */
    368       if ( n_points <= 0 || n_contours <= 0 )
    369         goto Bad;
    370 
    371       end0 = end = -1;
    372       for ( n = 0; n < n_contours; n++ )
    373       {
    374         end = outline->contours[n];
    375 
    376         /* note that we don't accept empty contours */
    377         if ( end <= end0 || end >= n_points )
    378           goto Bad;
    379 
    380         end0 = end;
    381       }
    382 
    383       if ( end != n_points - 1 )
    384         goto Bad;
    385 
    386       /* XXX: check the tags array */
    387       return 0;
    388     }
    389 
    390   Bad:
    391     return FT_THROW( Invalid_Argument );
    392   }
    393 
    394 
    395   /* documentation is in ftoutln.h */
    396 
    397   FT_EXPORT_DEF( FT_Error )
    398   FT_Outline_Copy( const FT_Outline*  source,
    399                    FT_Outline        *target )
    400   {
    401     FT_Int  is_owner;
    402 
    403 
    404     if ( !source            || !target            ||
    405          source->n_points   != target->n_points   ||
    406          source->n_contours != target->n_contours )
    407       return FT_THROW( Invalid_Argument );
    408 
    409     if ( source == target )
    410       return FT_Err_Ok;
    411 
    412     FT_ARRAY_COPY( target->points, source->points, source->n_points );
    413 
    414     FT_ARRAY_COPY( target->tags, source->tags, source->n_points );
    415 
    416     FT_ARRAY_COPY( target->contours, source->contours, source->n_contours );
    417 
    418     /* copy all flags, except the `FT_OUTLINE_OWNER' one */
    419     is_owner      = target->flags & FT_OUTLINE_OWNER;
    420     target->flags = source->flags;
    421 
    422     target->flags &= ~FT_OUTLINE_OWNER;
    423     target->flags |= is_owner;
    424 
    425     return FT_Err_Ok;
    426   }
    427 
    428 
    429   FT_EXPORT_DEF( FT_Error )
    430   FT_Outline_Done_Internal( FT_Memory    memory,
    431                             FT_Outline*  outline )
    432   {
    433     if ( memory && outline )
    434     {
    435       if ( outline->flags & FT_OUTLINE_OWNER )
    436       {
    437         FT_FREE( outline->points   );
    438         FT_FREE( outline->tags     );
    439         FT_FREE( outline->contours );
    440       }
    441       *outline = null_outline;
    442 
    443       return FT_Err_Ok;
    444     }
    445     else
    446       return FT_THROW( Invalid_Argument );
    447   }
    448 
    449 
    450   /* documentation is in ftoutln.h */
    451 
    452   FT_EXPORT_DEF( FT_Error )
    453   FT_Outline_Done( FT_Library   library,
    454                    FT_Outline*  outline )
    455   {
    456     /* check for valid `outline' in FT_Outline_Done_Internal() */
    457 
    458     if ( !library )
    459       return FT_THROW( Invalid_Library_Handle );
    460 
    461     return FT_Outline_Done_Internal( library->memory, outline );
    462   }
    463 
    464 
    465   /* documentation is in ftoutln.h */
    466 
    467   FT_EXPORT_DEF( void )
    468   FT_Outline_Get_CBox( const FT_Outline*  outline,
    469                        FT_BBox           *acbox )
    470   {
    471     FT_Pos  xMin, yMin, xMax, yMax;
    472 
    473 
    474     if ( outline && acbox )
    475     {
    476       if ( outline->n_points == 0 )
    477       {
    478         xMin = 0;
    479         yMin = 0;
    480         xMax = 0;
    481         yMax = 0;
    482       }
    483       else
    484       {
    485         FT_Vector*  vec   = outline->points;
    486         FT_Vector*  limit = vec + outline->n_points;
    487 
    488 
    489         xMin = xMax = vec->x;
    490         yMin = yMax = vec->y;
    491         vec++;
    492 
    493         for ( ; vec < limit; vec++ )
    494         {
    495           FT_Pos  x, y;
    496 
    497 
    498           x = vec->x;
    499           if ( x < xMin ) xMin = x;
    500           if ( x > xMax ) xMax = x;
    501 
    502           y = vec->y;
    503           if ( y < yMin ) yMin = y;
    504           if ( y > yMax ) yMax = y;
    505         }
    506       }
    507       acbox->xMin = xMin;
    508       acbox->xMax = xMax;
    509       acbox->yMin = yMin;
    510       acbox->yMax = yMax;
    511     }
    512   }
    513 
    514 
    515   /* documentation is in ftoutln.h */
    516 
    517   FT_EXPORT_DEF( void )
    518   FT_Outline_Translate( const FT_Outline*  outline,
    519                         FT_Pos             xOffset,
    520                         FT_Pos             yOffset )
    521   {
    522     FT_UShort   n;
    523     FT_Vector*  vec;
    524 
    525 
    526     if ( !outline )
    527       return;
    528 
    529     vec = outline->points;
    530 
    531     for ( n = 0; n < outline->n_points; n++ )
    532     {
    533       vec->x += xOffset;
    534       vec->y += yOffset;
    535       vec++;
    536     }
    537   }
    538 
    539 
    540   /* documentation is in ftoutln.h */
    541 
    542   FT_EXPORT_DEF( void )
    543   FT_Outline_Reverse( FT_Outline*  outline )
    544   {
    545     FT_UShort  n;
    546     FT_Int     first, last;
    547 
    548 
    549     if ( !outline )
    550       return;
    551 
    552     first = 0;
    553 
    554     for ( n = 0; n < outline->n_contours; n++ )
    555     {
    556       last  = outline->contours[n];
    557 
    558       /* reverse point table */
    559       {
    560         FT_Vector*  p = outline->points + first;
    561         FT_Vector*  q = outline->points + last;
    562         FT_Vector   swap;
    563 
    564 
    565         while ( p < q )
    566         {
    567           swap = *p;
    568           *p   = *q;
    569           *q   = swap;
    570           p++;
    571           q--;
    572         }
    573       }
    574 
    575       /* reverse tags table */
    576       {
    577         char*  p = outline->tags + first;
    578         char*  q = outline->tags + last;
    579         char   swap;
    580 
    581 
    582         while ( p < q )
    583         {
    584           swap = *p;
    585           *p   = *q;
    586           *q   = swap;
    587           p++;
    588           q--;
    589         }
    590       }
    591 
    592       first = last + 1;
    593     }
    594 
    595     outline->flags ^= FT_OUTLINE_REVERSE_FILL;
    596   }
    597 
    598 
    599   /* documentation is in ftoutln.h */
    600 
    601   FT_EXPORT_DEF( FT_Error )
    602   FT_Outline_Render( FT_Library         library,
    603                      FT_Outline*        outline,
    604                      FT_Raster_Params*  params )
    605   {
    606     FT_Error     error;
    607     FT_Bool      update = FALSE;
    608     FT_Renderer  renderer;
    609     FT_ListNode  node;
    610 
    611 
    612     if ( !library )
    613       return FT_THROW( Invalid_Library_Handle );
    614 
    615     if ( !outline || !params )
    616       return FT_THROW( Invalid_Argument );
    617 
    618     renderer = library->cur_renderer;
    619     node     = library->renderers.head;
    620 
    621     params->source = (void*)outline;
    622 
    623     error = FT_ERR( Cannot_Render_Glyph );
    624     while ( renderer )
    625     {
    626       error = renderer->raster_render( renderer->raster, params );
    627       if ( !error || FT_ERR_NEQ( error, Cannot_Render_Glyph ) )
    628         break;
    629 
    630       /* FT_Err_Cannot_Render_Glyph is returned if the render mode   */
    631       /* is unsupported by the current renderer for this glyph image */
    632       /* format                                                      */
    633 
    634       /* now, look for another renderer that supports the same */
    635       /* format                                                */
    636       renderer = FT_Lookup_Renderer( library, FT_GLYPH_FORMAT_OUTLINE,
    637                                      &node );
    638       update   = TRUE;
    639     }
    640 
    641     /* if we changed the current renderer for the glyph image format */
    642     /* we need to select it as the next current one                  */
    643     if ( !error && update && renderer )
    644       FT_Set_Renderer( library, renderer, 0, 0 );
    645 
    646     return error;
    647   }
    648 
    649 
    650   /* documentation is in ftoutln.h */
    651 
    652   FT_EXPORT_DEF( FT_Error )
    653   FT_Outline_Get_Bitmap( FT_Library        library,
    654                          FT_Outline*       outline,
    655                          const FT_Bitmap  *abitmap )
    656   {
    657     FT_Raster_Params  params;
    658 
    659 
    660     if ( !abitmap )
    661       return FT_THROW( Invalid_Argument );
    662 
    663     /* other checks are delayed to FT_Outline_Render() */
    664 
    665     params.target = abitmap;
    666     params.flags  = 0;
    667 
    668     if ( abitmap->pixel_mode == FT_PIXEL_MODE_GRAY  ||
    669          abitmap->pixel_mode == FT_PIXEL_MODE_LCD   ||
    670          abitmap->pixel_mode == FT_PIXEL_MODE_LCD_V )
    671       params.flags |= FT_RASTER_FLAG_AA;
    672 
    673     return FT_Outline_Render( library, outline, &params );
    674   }
    675 
    676 
    677   /* documentation is in freetype.h */
    678 
    679   FT_EXPORT_DEF( void )
    680   FT_Vector_Transform( FT_Vector*        vector,
    681                        const FT_Matrix*  matrix )
    682   {
    683     FT_Pos  xz, yz;
    684 
    685 
    686     if ( !vector || !matrix )
    687       return;
    688 
    689     xz = FT_MulFix( vector->x, matrix->xx ) +
    690          FT_MulFix( vector->y, matrix->xy );
    691 
    692     yz = FT_MulFix( vector->x, matrix->yx ) +
    693          FT_MulFix( vector->y, matrix->yy );
    694 
    695     vector->x = xz;
    696     vector->y = yz;
    697   }
    698 
    699 
    700   /* documentation is in ftoutln.h */
    701 
    702   FT_EXPORT_DEF( void )
    703   FT_Outline_Transform( const FT_Outline*  outline,
    704                         const FT_Matrix*   matrix )
    705   {
    706     FT_Vector*  vec;
    707     FT_Vector*  limit;
    708 
    709 
    710     if ( !outline || !matrix )
    711       return;
    712 
    713     vec   = outline->points;
    714     limit = vec + outline->n_points;
    715 
    716     for ( ; vec < limit; vec++ )
    717       FT_Vector_Transform( vec, matrix );
    718   }
    719 
    720 
    721 #if 0
    722 
    723 #define FT_OUTLINE_GET_CONTOUR( outline, c, first, last )  \
    724   do {                                                     \
    725     (first) = ( c > 0 ) ? (outline)->points +              \
    726                             (outline)->contours[c - 1] + 1 \
    727                         : (outline)->points;               \
    728     (last) = (outline)->points + (outline)->contours[c];   \
    729   } while ( 0 )
    730 
    731 
    732   /* Is a point in some contour?                     */
    733   /*                                                 */
    734   /* We treat every point of the contour as if it    */
    735   /* it were ON.  That is, we allow false positives, */
    736   /* but disallow false negatives.  (XXX really?)    */
    737   static FT_Bool
    738   ft_contour_has( FT_Outline*  outline,
    739                   FT_Short     c,
    740                   FT_Vector*   point )
    741   {
    742     FT_Vector*  first;
    743     FT_Vector*  last;
    744     FT_Vector*  a;
    745     FT_Vector*  b;
    746     FT_UInt     n = 0;
    747 
    748 
    749     FT_OUTLINE_GET_CONTOUR( outline, c, first, last );
    750 
    751     for ( a = first; a <= last; a++ )
    752     {
    753       FT_Pos  x;
    754       FT_Int  intersect;
    755 
    756 
    757       b = ( a == last ) ? first : a + 1;
    758 
    759       intersect = ( a->y - point->y ) ^ ( b->y - point->y );
    760 
    761       /* a and b are on the same side */
    762       if ( intersect >= 0 )
    763       {
    764         if ( intersect == 0 && a->y == point->y )
    765         {
    766           if ( ( a->x <= point->x && b->x >= point->x ) ||
    767                ( a->x >= point->x && b->x <= point->x ) )
    768             return 1;
    769         }
    770 
    771         continue;
    772       }
    773 
    774       x = a->x + ( b->x - a->x ) * (point->y - a->y ) / ( b->y - a->y );
    775 
    776       if ( x < point->x )
    777         n++;
    778       else if ( x == point->x )
    779         return 1;
    780     }
    781 
    782     return n & 1;
    783   }
    784 
    785 
    786   static FT_Bool
    787   ft_contour_enclosed( FT_Outline*  outline,
    788                        FT_UShort    c )
    789   {
    790     FT_Vector*  first;
    791     FT_Vector*  last;
    792     FT_Short    i;
    793 
    794 
    795     FT_OUTLINE_GET_CONTOUR( outline, c, first, last );
    796 
    797     for ( i = 0; i < outline->n_contours; i++ )
    798     {
    799       if ( i != c && ft_contour_has( outline, i, first ) )
    800       {
    801         FT_Vector*  pt;
    802 
    803 
    804         for ( pt = first + 1; pt <= last; pt++ )
    805           if ( !ft_contour_has( outline, i, pt ) )
    806             return 0;
    807 
    808         return 1;
    809       }
    810     }
    811 
    812     return 0;
    813   }
    814 
    815 
    816   /* This version differs from the public one in that each */
    817   /* part (contour not enclosed in another contour) of the */
    818   /* outline is checked for orientation.  This is          */
    819   /* necessary for some buggy CJK fonts.                   */
    820   static FT_Orientation
    821   ft_outline_get_orientation( FT_Outline*  outline )
    822   {
    823     FT_Short        i;
    824     FT_Vector*      first;
    825     FT_Vector*      last;
    826     FT_Orientation  orient = FT_ORIENTATION_NONE;
    827 
    828 
    829     first = outline->points;
    830     for ( i = 0; i < outline->n_contours; i++, first = last + 1 )
    831     {
    832       FT_Vector*  point;
    833       FT_Vector*  xmin_point;
    834       FT_Pos      xmin;
    835 
    836 
    837       last = outline->points + outline->contours[i];
    838 
    839       /* skip degenerate contours */
    840       if ( last < first + 2 )
    841         continue;
    842 
    843       if ( ft_contour_enclosed( outline, i ) )
    844         continue;
    845 
    846       xmin       = first->x;
    847       xmin_point = first;
    848 
    849       for ( point = first + 1; point <= last; point++ )
    850       {
    851         if ( point->x < xmin )
    852         {
    853           xmin       = point->x;
    854           xmin_point = point;
    855         }
    856       }
    857 
    858       /* check the orientation of the contour */
    859       {
    860         FT_Vector*      prev;
    861         FT_Vector*      next;
    862         FT_Orientation  o;
    863 
    864 
    865         prev = ( xmin_point == first ) ? last : xmin_point - 1;
    866         next = ( xmin_point == last ) ? first : xmin_point + 1;
    867 
    868         if ( FT_Atan2( prev->x - xmin_point->x, prev->y - xmin_point->y ) >
    869              FT_Atan2( next->x - xmin_point->x, next->y - xmin_point->y ) )
    870           o = FT_ORIENTATION_POSTSCRIPT;
    871         else
    872           o = FT_ORIENTATION_TRUETYPE;
    873 
    874         if ( orient == FT_ORIENTATION_NONE )
    875           orient = o;
    876         else if ( orient != o )
    877           return FT_ORIENTATION_NONE;
    878       }
    879     }
    880 
    881     return orient;
    882   }
    883 
    884 #endif /* 0 */
    885 
    886 
    887   /* documentation is in ftoutln.h */
    888 
    889   FT_EXPORT_DEF( FT_Error )
    890   FT_Outline_Embolden( FT_Outline*  outline,
    891                        FT_Pos       strength )
    892   {
    893     return FT_Outline_EmboldenXY( outline, strength, strength );
    894   }
    895 
    896 
    897   /* documentation is in ftoutln.h */
    898 
    899   FT_EXPORT_DEF( FT_Error )
    900   FT_Outline_EmboldenXY( FT_Outline*  outline,
    901                          FT_Pos       xstrength,
    902                          FT_Pos       ystrength )
    903   {
    904     FT_Vector*  points;
    905     FT_Vector   v_prev, v_first, v_next, v_cur;
    906     FT_Int      c, n, first;
    907     FT_Int      orientation;
    908 
    909 
    910     if ( !outline )
    911       return FT_THROW( Invalid_Argument );
    912 
    913     xstrength /= 2;
    914     ystrength /= 2;
    915     if ( xstrength == 0 && ystrength == 0 )
    916       return FT_Err_Ok;
    917 
    918     orientation = FT_Outline_Get_Orientation( outline );
    919     if ( orientation == FT_ORIENTATION_NONE )
    920     {
    921       if ( outline->n_contours )
    922         return FT_THROW( Invalid_Argument );
    923       else
    924         return FT_Err_Ok;
    925     }
    926 
    927     points = outline->points;
    928 
    929     first = 0;
    930     for ( c = 0; c < outline->n_contours; c++ )
    931     {
    932       FT_Vector  in, out, shift;
    933       FT_Fixed   l_in, l_out, l, q, d;
    934       int        last = outline->contours[c];
    935 
    936 
    937       v_first = points[first];
    938       v_prev  = points[last];
    939       v_cur   = v_first;
    940 
    941       /* compute incoming normalized vector */
    942       in.x = v_cur.x - v_prev.x;
    943       in.y = v_cur.y - v_prev.y;
    944       l_in = FT_Vector_Length( &in );
    945       if ( l_in )
    946       {
    947         in.x = FT_DivFix( in.x, l_in );
    948         in.y = FT_DivFix( in.y, l_in );
    949       }
    950 
    951       for ( n = first; n <= last; n++ )
    952       {
    953         if ( n < last )
    954           v_next = points[n + 1];
    955         else
    956           v_next = v_first;
    957 
    958         /* compute outgoing normalized vector */
    959         out.x = v_next.x - v_cur.x;
    960         out.y = v_next.y - v_cur.y;
    961         l_out = FT_Vector_Length( &out );
    962         if ( l_out )
    963         {
    964           out.x = FT_DivFix( out.x, l_out );
    965           out.y = FT_DivFix( out.y, l_out );
    966         }
    967 
    968         d = FT_MulFix( in.x, out.x ) + FT_MulFix( in.y, out.y );
    969 
    970         /* shift only if turn is less than ~160 degrees */
    971         if ( d > -0xF000L )
    972         {
    973           d = d + 0x10000L;
    974 
    975           /* shift components are aligned along lateral bisector */
    976           /* and directed according to the outline orientation.  */
    977           shift.x = in.y + out.y;
    978           shift.y = in.x + out.x;
    979 
    980           if ( orientation == FT_ORIENTATION_TRUETYPE )
    981             shift.x = -shift.x;
    982           else
    983             shift.y = -shift.y;
    984 
    985           /* restrict shift magnitude to better handle collapsing segments */
    986           q = FT_MulFix( out.x, in.y ) - FT_MulFix( out.y, in.x );
    987           if ( orientation == FT_ORIENTATION_TRUETYPE )
    988             q = -q;
    989 
    990           l = FT_MIN( l_in, l_out );
    991 
    992           /* non-strict inequalities avoid divide-by-zero when q == l == 0 */
    993           if ( FT_MulFix( xstrength, q ) <= FT_MulFix( d, l ) )
    994             shift.x = FT_MulDiv( shift.x, xstrength, d );
    995           else
    996             shift.x = FT_MulDiv( shift.x, l, q );
    997 
    998 
    999           if ( FT_MulFix( ystrength, q ) <= FT_MulFix( d, l ) )
   1000             shift.y = FT_MulDiv( shift.y, ystrength, d );
   1001           else
   1002             shift.y = FT_MulDiv( shift.y, l, q );
   1003         }
   1004         else
   1005           shift.x = shift.y = 0;
   1006 
   1007         outline->points[n].x = v_cur.x + xstrength + shift.x;
   1008         outline->points[n].y = v_cur.y + ystrength + shift.y;
   1009 
   1010         in    = out;
   1011         l_in  = l_out;
   1012         v_cur = v_next;
   1013       }
   1014 
   1015       first = last + 1;
   1016     }
   1017 
   1018     return FT_Err_Ok;
   1019   }
   1020 
   1021 
   1022   /* documentation is in ftoutln.h */
   1023 
   1024   FT_EXPORT_DEF( FT_Orientation )
   1025   FT_Outline_Get_Orientation( FT_Outline*  outline )
   1026   {
   1027     FT_BBox     cbox;
   1028     FT_Int      xshift, yshift;
   1029     FT_Vector*  points;
   1030     FT_Vector   v_prev, v_cur;
   1031     FT_Int      c, n, first;
   1032     FT_Pos      area = 0;
   1033 
   1034 
   1035     if ( !outline || outline->n_points <= 0 )
   1036       return FT_ORIENTATION_TRUETYPE;
   1037 
   1038     /* We use the nonzero winding rule to find the orientation.       */
   1039     /* Since glyph outlines behave much more `regular' than arbitrary */
   1040     /* cubic or quadratic curves, this test deals with the polygon    */
   1041     /* only which is spanned up by the control points.                */
   1042 
   1043     FT_Outline_Get_CBox( outline, &cbox );
   1044 
   1045     xshift = FT_MSB( FT_ABS( cbox.xMax ) | FT_ABS( cbox.xMin ) ) - 14;
   1046     xshift = FT_MAX( xshift, 0 );
   1047 
   1048     yshift = FT_MSB( cbox.yMax - cbox.yMin ) - 14;
   1049     yshift = FT_MAX( yshift, 0 );
   1050 
   1051     points = outline->points;
   1052 
   1053     first = 0;
   1054     for ( c = 0; c < outline->n_contours; c++ )
   1055     {
   1056       FT_Int  last = outline->contours[c];
   1057 
   1058 
   1059       v_prev = points[last];
   1060 
   1061       for ( n = first; n <= last; n++ )
   1062       {
   1063         v_cur = points[n];
   1064         area += ( ( v_cur.y - v_prev.y ) >> yshift ) *
   1065                 ( ( v_cur.x + v_prev.x ) >> xshift );
   1066         v_prev = v_cur;
   1067       }
   1068 
   1069       first = last + 1;
   1070     }
   1071 
   1072     if ( area > 0 )
   1073       return FT_ORIENTATION_POSTSCRIPT;
   1074     else if ( area < 0 )
   1075       return FT_ORIENTATION_TRUETYPE;
   1076     else
   1077       return FT_ORIENTATION_NONE;
   1078   }
   1079 
   1080 
   1081 /* END */
   1082