Home | History | Annotate | Download | only in base
      1 /***************************************************************************/
      2 /*                                                                         */
      3 /*  ftstroke.c                                                             */
      4 /*                                                                         */
      5 /*    FreeType path stroker (body).                                        */
      6 /*                                                                         */
      7 /*  Copyright 2002-2015 by                                                 */
      8 /*  David Turner, Robert Wilhelm, and Werner Lemberg.                      */
      9 /*                                                                         */
     10 /*  This file is part of the FreeType project, and may only be used,       */
     11 /*  modified, and distributed under the terms of the FreeType project      */
     12 /*  license, LICENSE.TXT.  By continuing to use, modify, or distribute     */
     13 /*  this file you indicate that you have read the license and              */
     14 /*  understand and accept it fully.                                        */
     15 /*                                                                         */
     16 /***************************************************************************/
     17 
     18 
     19 #include <ft2build.h>
     20 #include FT_STROKER_H
     21 #include FT_TRIGONOMETRY_H
     22 #include FT_OUTLINE_H
     23 #include FT_INTERNAL_MEMORY_H
     24 #include FT_INTERNAL_DEBUG_H
     25 #include FT_INTERNAL_OBJECTS_H
     26 
     27 #include "basepic.h"
     28 
     29 
     30   /* declare an extern to access `ft_outline_glyph_class' globally     */
     31   /* allocated  in `ftglyph.c', and use the FT_OUTLINE_GLYPH_CLASS_GET */
     32   /* macro to access it when FT_CONFIG_OPTION_PIC is defined           */
     33 #ifndef FT_CONFIG_OPTION_PIC
     34   FT_CALLBACK_TABLE const FT_Glyph_Class  ft_outline_glyph_class;
     35 #endif
     36 
     37 
     38   /* documentation is in ftstroke.h */
     39 
     40   FT_EXPORT_DEF( FT_StrokerBorder )
     41   FT_Outline_GetInsideBorder( FT_Outline*  outline )
     42   {
     43     FT_Orientation  o = FT_Outline_Get_Orientation( outline );
     44 
     45 
     46     return o == FT_ORIENTATION_TRUETYPE ? FT_STROKER_BORDER_RIGHT
     47                                         : FT_STROKER_BORDER_LEFT;
     48   }
     49 
     50 
     51   /* documentation is in ftstroke.h */
     52 
     53   FT_EXPORT_DEF( FT_StrokerBorder )
     54   FT_Outline_GetOutsideBorder( FT_Outline*  outline )
     55   {
     56     FT_Orientation  o = FT_Outline_Get_Orientation( outline );
     57 
     58 
     59     return o == FT_ORIENTATION_TRUETYPE ? FT_STROKER_BORDER_LEFT
     60                                         : FT_STROKER_BORDER_RIGHT;
     61   }
     62 
     63 
     64   /*************************************************************************/
     65   /*************************************************************************/
     66   /*****                                                               *****/
     67   /*****                      BEZIER COMPUTATIONS                      *****/
     68   /*****                                                               *****/
     69   /*************************************************************************/
     70   /*************************************************************************/
     71 
     72 #define FT_SMALL_CONIC_THRESHOLD  ( FT_ANGLE_PI / 6 )
     73 #define FT_SMALL_CUBIC_THRESHOLD  ( FT_ANGLE_PI / 8 )
     74 
     75 #define FT_EPSILON  2
     76 
     77 #define FT_IS_SMALL( x )  ( (x) > -FT_EPSILON && (x) < FT_EPSILON )
     78 
     79 
     80   static FT_Pos
     81   ft_pos_abs( FT_Pos  x )
     82   {
     83     return x >= 0 ? x : -x;
     84   }
     85 
     86 
     87   static void
     88   ft_conic_split( FT_Vector*  base )
     89   {
     90     FT_Pos  a, b;
     91 
     92 
     93     base[4].x = base[2].x;
     94     b = base[1].x;
     95     a = base[3].x = ( base[2].x + b ) / 2;
     96     b = base[1].x = ( base[0].x + b ) / 2;
     97     base[2].x = ( a + b ) / 2;
     98 
     99     base[4].y = base[2].y;
    100     b = base[1].y;
    101     a = base[3].y = ( base[2].y + b ) / 2;
    102     b = base[1].y = ( base[0].y + b ) / 2;
    103     base[2].y = ( a + b ) / 2;
    104   }
    105 
    106 
    107   static FT_Bool
    108   ft_conic_is_small_enough( FT_Vector*  base,
    109                             FT_Angle   *angle_in,
    110                             FT_Angle   *angle_out )
    111   {
    112     FT_Vector  d1, d2;
    113     FT_Angle   theta;
    114     FT_Int     close1, close2;
    115 
    116 
    117     d1.x = base[1].x - base[2].x;
    118     d1.y = base[1].y - base[2].y;
    119     d2.x = base[0].x - base[1].x;
    120     d2.y = base[0].y - base[1].y;
    121 
    122     close1 = FT_IS_SMALL( d1.x ) && FT_IS_SMALL( d1.y );
    123     close2 = FT_IS_SMALL( d2.x ) && FT_IS_SMALL( d2.y );
    124 
    125     if ( close1 )
    126     {
    127       if ( close2 )
    128       {
    129         /* basically a point;                      */
    130         /* do nothing to retain original direction */
    131       }
    132       else
    133       {
    134         *angle_in  =
    135         *angle_out = FT_Atan2( d2.x, d2.y );
    136       }
    137     }
    138     else /* !close1 */
    139     {
    140       if ( close2 )
    141       {
    142         *angle_in  =
    143         *angle_out = FT_Atan2( d1.x, d1.y );
    144       }
    145       else
    146       {
    147         *angle_in  = FT_Atan2( d1.x, d1.y );
    148         *angle_out = FT_Atan2( d2.x, d2.y );
    149       }
    150     }
    151 
    152     theta = ft_pos_abs( FT_Angle_Diff( *angle_in, *angle_out ) );
    153 
    154     return FT_BOOL( theta < FT_SMALL_CONIC_THRESHOLD );
    155   }
    156 
    157 
    158   static void
    159   ft_cubic_split( FT_Vector*  base )
    160   {
    161     FT_Pos  a, b, c, d;
    162 
    163 
    164     base[6].x = base[3].x;
    165     c = base[1].x;
    166     d = base[2].x;
    167     base[1].x = a = ( base[0].x + c ) / 2;
    168     base[5].x = b = ( base[3].x + d ) / 2;
    169     c = ( c + d ) / 2;
    170     base[2].x = a = ( a + c ) / 2;
    171     base[4].x = b = ( b + c ) / 2;
    172     base[3].x = ( a + b ) / 2;
    173 
    174     base[6].y = base[3].y;
    175     c = base[1].y;
    176     d = base[2].y;
    177     base[1].y = a = ( base[0].y + c ) / 2;
    178     base[5].y = b = ( base[3].y + d ) / 2;
    179     c = ( c + d ) / 2;
    180     base[2].y = a = ( a + c ) / 2;
    181     base[4].y = b = ( b + c ) / 2;
    182     base[3].y = ( a + b ) / 2;
    183   }
    184 
    185 
    186   /* Return the average of `angle1' and `angle2'.            */
    187   /* This gives correct result even if `angle1' and `angle2' */
    188   /* have opposite signs.                                    */
    189   static FT_Angle
    190   ft_angle_mean( FT_Angle  angle1,
    191                  FT_Angle  angle2 )
    192   {
    193     return angle1 + FT_Angle_Diff( angle1, angle2 ) / 2;
    194   }
    195 
    196 
    197   static FT_Bool
    198   ft_cubic_is_small_enough( FT_Vector*  base,
    199                             FT_Angle   *angle_in,
    200                             FT_Angle   *angle_mid,
    201                             FT_Angle   *angle_out )
    202   {
    203     FT_Vector  d1, d2, d3;
    204     FT_Angle   theta1, theta2;
    205     FT_Int     close1, close2, close3;
    206 
    207 
    208     d1.x = base[2].x - base[3].x;
    209     d1.y = base[2].y - base[3].y;
    210     d2.x = base[1].x - base[2].x;
    211     d2.y = base[1].y - base[2].y;
    212     d3.x = base[0].x - base[1].x;
    213     d3.y = base[0].y - base[1].y;
    214 
    215     close1 = FT_IS_SMALL( d1.x ) && FT_IS_SMALL( d1.y );
    216     close2 = FT_IS_SMALL( d2.x ) && FT_IS_SMALL( d2.y );
    217     close3 = FT_IS_SMALL( d3.x ) && FT_IS_SMALL( d3.y );
    218 
    219     if ( close1 )
    220     {
    221       if ( close2 )
    222       {
    223         if ( close3 )
    224         {
    225           /* basically a point;                      */
    226           /* do nothing to retain original direction */
    227         }
    228         else /* !close3 */
    229         {
    230           *angle_in  =
    231           *angle_mid =
    232           *angle_out = FT_Atan2( d3.x, d3.y );
    233         }
    234       }
    235       else /* !close2 */
    236       {
    237         if ( close3 )
    238         {
    239           *angle_in  =
    240           *angle_mid =
    241           *angle_out = FT_Atan2( d2.x, d2.y );
    242         }
    243         else /* !close3 */
    244         {
    245           *angle_in  =
    246           *angle_mid = FT_Atan2( d2.x, d2.y );
    247           *angle_out = FT_Atan2( d3.x, d3.y );
    248         }
    249       }
    250     }
    251     else /* !close1 */
    252     {
    253       if ( close2 )
    254       {
    255         if ( close3 )
    256         {
    257           *angle_in  =
    258           *angle_mid =
    259           *angle_out = FT_Atan2( d1.x, d1.y );
    260         }
    261         else /* !close3 */
    262         {
    263           *angle_in  = FT_Atan2( d1.x, d1.y );
    264           *angle_out = FT_Atan2( d3.x, d3.y );
    265           *angle_mid = ft_angle_mean( *angle_in, *angle_out );
    266         }
    267       }
    268       else /* !close2 */
    269       {
    270         if ( close3 )
    271         {
    272           *angle_in  = FT_Atan2( d1.x, d1.y );
    273           *angle_mid =
    274           *angle_out = FT_Atan2( d2.x, d2.y );
    275         }
    276         else /* !close3 */
    277         {
    278           *angle_in  = FT_Atan2( d1.x, d1.y );
    279           *angle_mid = FT_Atan2( d2.x, d2.y );
    280           *angle_out = FT_Atan2( d3.x, d3.y );
    281         }
    282       }
    283     }
    284 
    285     theta1 = ft_pos_abs( FT_Angle_Diff( *angle_in,  *angle_mid ) );
    286     theta2 = ft_pos_abs( FT_Angle_Diff( *angle_mid, *angle_out ) );
    287 
    288     return FT_BOOL( theta1 < FT_SMALL_CUBIC_THRESHOLD &&
    289                     theta2 < FT_SMALL_CUBIC_THRESHOLD );
    290   }
    291 
    292 
    293   /*************************************************************************/
    294   /*************************************************************************/
    295   /*****                                                               *****/
    296   /*****                       STROKE BORDERS                          *****/
    297   /*****                                                               *****/
    298   /*************************************************************************/
    299   /*************************************************************************/
    300 
    301   typedef enum  FT_StrokeTags_
    302   {
    303     FT_STROKE_TAG_ON    = 1,   /* on-curve point  */
    304     FT_STROKE_TAG_CUBIC = 2,   /* cubic off-point */
    305     FT_STROKE_TAG_BEGIN = 4,   /* sub-path start  */
    306     FT_STROKE_TAG_END   = 8    /* sub-path end    */
    307 
    308   } FT_StrokeTags;
    309 
    310 #define  FT_STROKE_TAG_BEGIN_END  ( FT_STROKE_TAG_BEGIN | FT_STROKE_TAG_END )
    311 
    312   typedef struct  FT_StrokeBorderRec_
    313   {
    314     FT_UInt     num_points;
    315     FT_UInt     max_points;
    316     FT_Vector*  points;
    317     FT_Byte*    tags;
    318     FT_Bool     movable;  /* TRUE for ends of lineto borders */
    319     FT_Int      start;    /* index of current sub-path start point */
    320     FT_Memory   memory;
    321     FT_Bool     valid;
    322 
    323   } FT_StrokeBorderRec, *FT_StrokeBorder;
    324 
    325 
    326   static FT_Error
    327   ft_stroke_border_grow( FT_StrokeBorder  border,
    328                          FT_UInt          new_points )
    329   {
    330     FT_UInt   old_max = border->max_points;
    331     FT_UInt   new_max = border->num_points + new_points;
    332     FT_Error  error   = FT_Err_Ok;
    333 
    334 
    335     if ( new_max > old_max )
    336     {
    337       FT_UInt    cur_max = old_max;
    338       FT_Memory  memory  = border->memory;
    339 
    340 
    341       while ( cur_max < new_max )
    342         cur_max += ( cur_max >> 1 ) + 16;
    343 
    344       if ( FT_RENEW_ARRAY( border->points, old_max, cur_max ) ||
    345            FT_RENEW_ARRAY( border->tags,   old_max, cur_max ) )
    346         goto Exit;
    347 
    348       border->max_points = cur_max;
    349     }
    350 
    351   Exit:
    352     return error;
    353   }
    354 
    355 
    356   static void
    357   ft_stroke_border_close( FT_StrokeBorder  border,
    358                           FT_Bool          reverse )
    359   {
    360     FT_UInt  start = (FT_UInt)border->start;
    361     FT_UInt  count = border->num_points;
    362 
    363 
    364     FT_ASSERT( border->start >= 0 );
    365 
    366     /* don't record empty paths! */
    367     if ( count <= start + 1U )
    368       border->num_points = start;
    369     else
    370     {
    371       /* copy the last point to the start of this sub-path, since */
    372       /* it contains the `adjusted' starting coordinates          */
    373       border->num_points    = --count;
    374       border->points[start] = border->points[count];
    375 
    376       if ( reverse )
    377       {
    378         /* reverse the points */
    379         {
    380           FT_Vector*  vec1 = border->points + start + 1;
    381           FT_Vector*  vec2 = border->points + count - 1;
    382 
    383 
    384           for ( ; vec1 < vec2; vec1++, vec2-- )
    385           {
    386             FT_Vector  tmp;
    387 
    388 
    389             tmp   = *vec1;
    390             *vec1 = *vec2;
    391             *vec2 = tmp;
    392           }
    393         }
    394 
    395         /* then the tags */
    396         {
    397           FT_Byte*  tag1 = border->tags + start + 1;
    398           FT_Byte*  tag2 = border->tags + count - 1;
    399 
    400 
    401           for ( ; tag1 < tag2; tag1++, tag2-- )
    402           {
    403             FT_Byte  tmp;
    404 
    405 
    406             tmp   = *tag1;
    407             *tag1 = *tag2;
    408             *tag2 = tmp;
    409           }
    410         }
    411       }
    412 
    413       border->tags[start    ] |= FT_STROKE_TAG_BEGIN;
    414       border->tags[count - 1] |= FT_STROKE_TAG_END;
    415     }
    416 
    417     border->start   = -1;
    418     border->movable = FALSE;
    419   }
    420 
    421 
    422   static FT_Error
    423   ft_stroke_border_lineto( FT_StrokeBorder  border,
    424                            FT_Vector*       to,
    425                            FT_Bool          movable )
    426   {
    427     FT_Error  error = FT_Err_Ok;
    428 
    429 
    430     FT_ASSERT( border->start >= 0 );
    431 
    432     if ( border->movable )
    433     {
    434       /* move last point */
    435       border->points[border->num_points - 1] = *to;
    436     }
    437     else
    438     {
    439       /* don't add zero-length lineto */
    440       if ( border->num_points > 0                                          &&
    441            FT_IS_SMALL( border->points[border->num_points - 1].x - to->x ) &&
    442            FT_IS_SMALL( border->points[border->num_points - 1].y - to->y ) )
    443         return error;
    444 
    445       /* add one point */
    446       error = ft_stroke_border_grow( border, 1 );
    447       if ( !error )
    448       {
    449         FT_Vector*  vec = border->points + border->num_points;
    450         FT_Byte*    tag = border->tags   + border->num_points;
    451 
    452 
    453         vec[0] = *to;
    454         tag[0] = FT_STROKE_TAG_ON;
    455 
    456         border->num_points += 1;
    457       }
    458     }
    459     border->movable = movable;
    460     return error;
    461   }
    462 
    463 
    464   static FT_Error
    465   ft_stroke_border_conicto( FT_StrokeBorder  border,
    466                             FT_Vector*       control,
    467                             FT_Vector*       to )
    468   {
    469     FT_Error  error;
    470 
    471 
    472     FT_ASSERT( border->start >= 0 );
    473 
    474     error = ft_stroke_border_grow( border, 2 );
    475     if ( !error )
    476     {
    477       FT_Vector*  vec = border->points + border->num_points;
    478       FT_Byte*    tag = border->tags   + border->num_points;
    479 
    480 
    481       vec[0] = *control;
    482       vec[1] = *to;
    483 
    484       tag[0] = 0;
    485       tag[1] = FT_STROKE_TAG_ON;
    486 
    487       border->num_points += 2;
    488     }
    489 
    490     border->movable = FALSE;
    491 
    492     return error;
    493   }
    494 
    495 
    496   static FT_Error
    497   ft_stroke_border_cubicto( FT_StrokeBorder  border,
    498                             FT_Vector*       control1,
    499                             FT_Vector*       control2,
    500                             FT_Vector*       to )
    501   {
    502     FT_Error  error;
    503 
    504 
    505     FT_ASSERT( border->start >= 0 );
    506 
    507     error = ft_stroke_border_grow( border, 3 );
    508     if ( !error )
    509     {
    510       FT_Vector*  vec = border->points + border->num_points;
    511       FT_Byte*    tag = border->tags   + border->num_points;
    512 
    513 
    514       vec[0] = *control1;
    515       vec[1] = *control2;
    516       vec[2] = *to;
    517 
    518       tag[0] = FT_STROKE_TAG_CUBIC;
    519       tag[1] = FT_STROKE_TAG_CUBIC;
    520       tag[2] = FT_STROKE_TAG_ON;
    521 
    522       border->num_points += 3;
    523     }
    524 
    525     border->movable = FALSE;
    526 
    527     return error;
    528   }
    529 
    530 
    531 #define FT_ARC_CUBIC_ANGLE  ( FT_ANGLE_PI / 2 )
    532 
    533 
    534   static FT_Error
    535   ft_stroke_border_arcto( FT_StrokeBorder  border,
    536                           FT_Vector*       center,
    537                           FT_Fixed         radius,
    538                           FT_Angle         angle_start,
    539                           FT_Angle         angle_diff )
    540   {
    541     FT_Angle   total, angle, step, rotate, next, theta;
    542     FT_Vector  a, b, a2, b2;
    543     FT_Fixed   length;
    544     FT_Error   error = FT_Err_Ok;
    545 
    546 
    547     /* compute start point */
    548     FT_Vector_From_Polar( &a, radius, angle_start );
    549     a.x += center->x;
    550     a.y += center->y;
    551 
    552     total  = angle_diff;
    553     angle  = angle_start;
    554     rotate = ( angle_diff >= 0 ) ? FT_ANGLE_PI2 : -FT_ANGLE_PI2;
    555 
    556     while ( total != 0 )
    557     {
    558       step = total;
    559       if ( step > FT_ARC_CUBIC_ANGLE )
    560         step = FT_ARC_CUBIC_ANGLE;
    561 
    562       else if ( step < -FT_ARC_CUBIC_ANGLE )
    563         step = -FT_ARC_CUBIC_ANGLE;
    564 
    565       next  = angle + step;
    566       theta = step;
    567       if ( theta < 0 )
    568         theta = -theta;
    569 
    570       theta >>= 1;
    571 
    572       /* compute end point */
    573       FT_Vector_From_Polar( &b, radius, next );
    574       b.x += center->x;
    575       b.y += center->y;
    576 
    577       /* compute first and second control points */
    578       length = FT_MulDiv( radius, FT_Sin( theta ) * 4,
    579                           ( 0x10000L + FT_Cos( theta ) ) * 3 );
    580 
    581       FT_Vector_From_Polar( &a2, length, angle + rotate );
    582       a2.x += a.x;
    583       a2.y += a.y;
    584 
    585       FT_Vector_From_Polar( &b2, length, next - rotate );
    586       b2.x += b.x;
    587       b2.y += b.y;
    588 
    589       /* add cubic arc */
    590       error = ft_stroke_border_cubicto( border, &a2, &b2, &b );
    591       if ( error )
    592         break;
    593 
    594       /* process the rest of the arc ?? */
    595       a      = b;
    596       total -= step;
    597       angle  = next;
    598     }
    599 
    600     return error;
    601   }
    602 
    603 
    604   static FT_Error
    605   ft_stroke_border_moveto( FT_StrokeBorder  border,
    606                            FT_Vector*       to )
    607   {
    608     /* close current open path if any ? */
    609     if ( border->start >= 0 )
    610       ft_stroke_border_close( border, FALSE );
    611 
    612     border->start = (FT_Int)border->num_points;
    613     border->movable = FALSE;
    614 
    615     return ft_stroke_border_lineto( border, to, FALSE );
    616   }
    617 
    618 
    619   static void
    620   ft_stroke_border_init( FT_StrokeBorder  border,
    621                          FT_Memory        memory )
    622   {
    623     border->memory = memory;
    624     border->points = NULL;
    625     border->tags   = NULL;
    626 
    627     border->num_points = 0;
    628     border->max_points = 0;
    629     border->start      = -1;
    630     border->valid      = FALSE;
    631   }
    632 
    633 
    634   static void
    635   ft_stroke_border_reset( FT_StrokeBorder  border )
    636   {
    637     border->num_points = 0;
    638     border->start      = -1;
    639     border->valid      = FALSE;
    640   }
    641 
    642 
    643   static void
    644   ft_stroke_border_done( FT_StrokeBorder  border )
    645   {
    646     FT_Memory  memory = border->memory;
    647 
    648 
    649     FT_FREE( border->points );
    650     FT_FREE( border->tags );
    651 
    652     border->num_points = 0;
    653     border->max_points = 0;
    654     border->start      = -1;
    655     border->valid      = FALSE;
    656   }
    657 
    658 
    659   static FT_Error
    660   ft_stroke_border_get_counts( FT_StrokeBorder  border,
    661                                FT_UInt         *anum_points,
    662                                FT_UInt         *anum_contours )
    663   {
    664     FT_Error  error        = FT_Err_Ok;
    665     FT_UInt   num_points   = 0;
    666     FT_UInt   num_contours = 0;
    667 
    668     FT_UInt     count      = border->num_points;
    669     FT_Vector*  point      = border->points;
    670     FT_Byte*    tags       = border->tags;
    671     FT_Int      in_contour = 0;
    672 
    673 
    674     for ( ; count > 0; count--, num_points++, point++, tags++ )
    675     {
    676       if ( tags[0] & FT_STROKE_TAG_BEGIN )
    677       {
    678         if ( in_contour != 0 )
    679           goto Fail;
    680 
    681         in_contour = 1;
    682       }
    683       else if ( in_contour == 0 )
    684         goto Fail;
    685 
    686       if ( tags[0] & FT_STROKE_TAG_END )
    687       {
    688         in_contour = 0;
    689         num_contours++;
    690       }
    691     }
    692 
    693     if ( in_contour != 0 )
    694       goto Fail;
    695 
    696     border->valid = TRUE;
    697 
    698   Exit:
    699     *anum_points   = num_points;
    700     *anum_contours = num_contours;
    701     return error;
    702 
    703   Fail:
    704     num_points   = 0;
    705     num_contours = 0;
    706     goto Exit;
    707   }
    708 
    709 
    710   static void
    711   ft_stroke_border_export( FT_StrokeBorder  border,
    712                            FT_Outline*      outline )
    713   {
    714     /* copy point locations */
    715     FT_ARRAY_COPY( outline->points + outline->n_points,
    716                    border->points,
    717                    border->num_points );
    718 
    719     /* copy tags */
    720     {
    721       FT_UInt   count = border->num_points;
    722       FT_Byte*  read  = border->tags;
    723       FT_Byte*  write = (FT_Byte*)outline->tags + outline->n_points;
    724 
    725 
    726       for ( ; count > 0; count--, read++, write++ )
    727       {
    728         if ( *read & FT_STROKE_TAG_ON )
    729           *write = FT_CURVE_TAG_ON;
    730         else if ( *read & FT_STROKE_TAG_CUBIC )
    731           *write = FT_CURVE_TAG_CUBIC;
    732         else
    733           *write = FT_CURVE_TAG_CONIC;
    734       }
    735     }
    736 
    737     /* copy contours */
    738     {
    739       FT_UInt    count = border->num_points;
    740       FT_Byte*   tags  = border->tags;
    741       FT_Short*  write = outline->contours + outline->n_contours;
    742       FT_Short   idx   = (FT_Short)outline->n_points;
    743 
    744 
    745       for ( ; count > 0; count--, tags++, idx++ )
    746       {
    747         if ( *tags & FT_STROKE_TAG_END )
    748         {
    749           *write++ = idx;
    750           outline->n_contours++;
    751         }
    752       }
    753     }
    754 
    755     outline->n_points += (short)border->num_points;
    756 
    757     FT_ASSERT( FT_Outline_Check( outline ) == 0 );
    758   }
    759 
    760 
    761   /*************************************************************************/
    762   /*************************************************************************/
    763   /*****                                                               *****/
    764   /*****                           STROKER                             *****/
    765   /*****                                                               *****/
    766   /*************************************************************************/
    767   /*************************************************************************/
    768 
    769 #define FT_SIDE_TO_ROTATE( s )   ( FT_ANGLE_PI2 - (s) * FT_ANGLE_PI )
    770 
    771   typedef struct  FT_StrokerRec_
    772   {
    773     FT_Angle             angle_in;             /* direction into curr join */
    774     FT_Angle             angle_out;            /* direction out of join  */
    775     FT_Vector            center;               /* current position */
    776     FT_Fixed             line_length;          /* length of last lineto */
    777     FT_Bool              first_point;          /* is this the start? */
    778     FT_Bool              subpath_open;         /* is the subpath open? */
    779     FT_Angle             subpath_angle;        /* subpath start direction */
    780     FT_Vector            subpath_start;        /* subpath start position */
    781     FT_Fixed             subpath_line_length;  /* subpath start lineto len */
    782     FT_Bool              handle_wide_strokes;  /* use wide strokes logic? */
    783 
    784     FT_Stroker_LineCap   line_cap;
    785     FT_Stroker_LineJoin  line_join;
    786     FT_Stroker_LineJoin  line_join_saved;
    787     FT_Fixed             miter_limit;
    788     FT_Fixed             radius;
    789 
    790     FT_StrokeBorderRec   borders[2];
    791     FT_Library           library;
    792 
    793   } FT_StrokerRec;
    794 
    795 
    796   /* documentation is in ftstroke.h */
    797 
    798   FT_EXPORT_DEF( FT_Error )
    799   FT_Stroker_New( FT_Library   library,
    800                   FT_Stroker  *astroker )
    801   {
    802     FT_Error    error;           /* assigned in FT_NEW */
    803     FT_Memory   memory;
    804     FT_Stroker  stroker = NULL;
    805 
    806 
    807     if ( !library )
    808       return FT_THROW( Invalid_Library_Handle );
    809 
    810     if ( !astroker )
    811       return FT_THROW( Invalid_Argument );
    812 
    813     memory = library->memory;
    814 
    815     if ( !FT_NEW( stroker ) )
    816     {
    817       stroker->library = library;
    818 
    819       ft_stroke_border_init( &stroker->borders[0], memory );
    820       ft_stroke_border_init( &stroker->borders[1], memory );
    821     }
    822 
    823     *astroker = stroker;
    824 
    825     return error;
    826   }
    827 
    828 
    829   /* documentation is in ftstroke.h */
    830 
    831   FT_EXPORT_DEF( void )
    832   FT_Stroker_Set( FT_Stroker           stroker,
    833                   FT_Fixed             radius,
    834                   FT_Stroker_LineCap   line_cap,
    835                   FT_Stroker_LineJoin  line_join,
    836                   FT_Fixed             miter_limit )
    837   {
    838     if ( !stroker )
    839       return;
    840 
    841     stroker->radius      = radius;
    842     stroker->line_cap    = line_cap;
    843     stroker->line_join   = line_join;
    844     stroker->miter_limit = miter_limit;
    845 
    846     /* ensure miter limit has sensible value */
    847     if ( stroker->miter_limit < 0x10000L )
    848       stroker->miter_limit = 0x10000L;
    849 
    850     /* save line join style:                                           */
    851     /* line join style can be temporarily changed when stroking curves */
    852     stroker->line_join_saved = line_join;
    853 
    854     FT_Stroker_Rewind( stroker );
    855   }
    856 
    857 
    858   /* documentation is in ftstroke.h */
    859 
    860   FT_EXPORT_DEF( void )
    861   FT_Stroker_Rewind( FT_Stroker  stroker )
    862   {
    863     if ( stroker )
    864     {
    865       ft_stroke_border_reset( &stroker->borders[0] );
    866       ft_stroke_border_reset( &stroker->borders[1] );
    867     }
    868   }
    869 
    870 
    871   /* documentation is in ftstroke.h */
    872 
    873   FT_EXPORT_DEF( void )
    874   FT_Stroker_Done( FT_Stroker  stroker )
    875   {
    876     if ( stroker )
    877     {
    878       FT_Memory  memory = stroker->library->memory;
    879 
    880 
    881       ft_stroke_border_done( &stroker->borders[0] );
    882       ft_stroke_border_done( &stroker->borders[1] );
    883 
    884       stroker->library = NULL;
    885       FT_FREE( stroker );
    886     }
    887   }
    888 
    889 
    890   /* create a circular arc at a corner or cap */
    891   static FT_Error
    892   ft_stroker_arcto( FT_Stroker  stroker,
    893                     FT_Int      side )
    894   {
    895     FT_Angle         total, rotate;
    896     FT_Fixed         radius = stroker->radius;
    897     FT_Error         error  = FT_Err_Ok;
    898     FT_StrokeBorder  border = stroker->borders + side;
    899 
    900 
    901     rotate = FT_SIDE_TO_ROTATE( side );
    902 
    903     total = FT_Angle_Diff( stroker->angle_in, stroker->angle_out );
    904     if ( total == FT_ANGLE_PI )
    905       total = -rotate * 2;
    906 
    907     error = ft_stroke_border_arcto( border,
    908                                     &stroker->center,
    909                                     radius,
    910                                     stroker->angle_in + rotate,
    911                                     total );
    912     border->movable = FALSE;
    913     return error;
    914   }
    915 
    916 
    917   /* add a cap at the end of an opened path */
    918   static FT_Error
    919   ft_stroker_cap( FT_Stroker  stroker,
    920                   FT_Angle    angle,
    921                   FT_Int      side )
    922   {
    923     FT_Error  error = FT_Err_Ok;
    924 
    925 
    926     if ( stroker->line_cap == FT_STROKER_LINECAP_ROUND )
    927     {
    928       /* add a round cap */
    929       stroker->angle_in  = angle;
    930       stroker->angle_out = angle + FT_ANGLE_PI;
    931 
    932       error = ft_stroker_arcto( stroker, side );
    933     }
    934     else if ( stroker->line_cap == FT_STROKER_LINECAP_SQUARE )
    935     {
    936       /* add a square cap */
    937       FT_Vector        delta, delta2;
    938       FT_Angle         rotate = FT_SIDE_TO_ROTATE( side );
    939       FT_Fixed         radius = stroker->radius;
    940       FT_StrokeBorder  border = stroker->borders + side;
    941 
    942 
    943       FT_Vector_From_Polar( &delta2, radius, angle + rotate );
    944       FT_Vector_From_Polar( &delta,  radius, angle );
    945 
    946       delta.x += stroker->center.x + delta2.x;
    947       delta.y += stroker->center.y + delta2.y;
    948 
    949       error = ft_stroke_border_lineto( border, &delta, FALSE );
    950       if ( error )
    951         goto Exit;
    952 
    953       FT_Vector_From_Polar( &delta2, radius, angle - rotate );
    954       FT_Vector_From_Polar( &delta,  radius, angle );
    955 
    956       delta.x += delta2.x + stroker->center.x;
    957       delta.y += delta2.y + stroker->center.y;
    958 
    959       error = ft_stroke_border_lineto( border, &delta, FALSE );
    960     }
    961     else if ( stroker->line_cap == FT_STROKER_LINECAP_BUTT )
    962     {
    963       /* add a butt ending */
    964       FT_Vector        delta;
    965       FT_Angle         rotate = FT_SIDE_TO_ROTATE( side );
    966       FT_Fixed         radius = stroker->radius;
    967       FT_StrokeBorder  border = stroker->borders + side;
    968 
    969 
    970       FT_Vector_From_Polar( &delta, radius, angle + rotate );
    971 
    972       delta.x += stroker->center.x;
    973       delta.y += stroker->center.y;
    974 
    975       error = ft_stroke_border_lineto( border, &delta, FALSE );
    976       if ( error )
    977         goto Exit;
    978 
    979       FT_Vector_From_Polar( &delta, radius, angle - rotate );
    980 
    981       delta.x += stroker->center.x;
    982       delta.y += stroker->center.y;
    983 
    984       error = ft_stroke_border_lineto( border, &delta, FALSE );
    985     }
    986 
    987   Exit:
    988     return error;
    989   }
    990 
    991 
    992   /* process an inside corner, i.e. compute intersection */
    993   static FT_Error
    994   ft_stroker_inside( FT_Stroker  stroker,
    995                      FT_Int      side,
    996                      FT_Fixed    line_length )
    997   {
    998     FT_StrokeBorder  border = stroker->borders + side;
    999     FT_Angle         phi, theta, rotate;
   1000     FT_Fixed         length, thcos;
   1001     FT_Vector        delta;
   1002     FT_Error         error = FT_Err_Ok;
   1003     FT_Bool          intersect;          /* use intersection of lines? */
   1004 
   1005 
   1006     rotate = FT_SIDE_TO_ROTATE( side );
   1007 
   1008     theta = FT_Angle_Diff( stroker->angle_in, stroker->angle_out ) / 2;
   1009 
   1010     /* Only intersect borders if between two lineto's and both */
   1011     /* lines are long enough (line_length is zero for curves). */
   1012     /* Also avoid U-turns of nearly 180 degree.                */
   1013     if ( !border->movable || line_length == 0  ||
   1014          theta > 0x59C000 || theta < -0x59C000 )
   1015       intersect = FALSE;
   1016     else
   1017     {
   1018       /* compute minimum required length of lines */
   1019       FT_Fixed  min_length = ft_pos_abs( FT_MulFix( stroker->radius,
   1020                                                     FT_Tan( theta ) ) );
   1021 
   1022 
   1023       intersect = FT_BOOL( min_length                         &&
   1024                            stroker->line_length >= min_length &&
   1025                            line_length          >= min_length );
   1026     }
   1027 
   1028     if ( !intersect )
   1029     {
   1030       FT_Vector_From_Polar( &delta, stroker->radius,
   1031                             stroker->angle_out + rotate );
   1032       delta.x += stroker->center.x;
   1033       delta.y += stroker->center.y;
   1034 
   1035       border->movable = FALSE;
   1036     }
   1037     else
   1038     {
   1039       /* compute median angle */
   1040       phi = stroker->angle_in + theta;
   1041 
   1042       thcos = FT_Cos( theta );
   1043 
   1044       length = FT_DivFix( stroker->radius, thcos );
   1045 
   1046       FT_Vector_From_Polar( &delta, length, phi + rotate );
   1047       delta.x += stroker->center.x;
   1048       delta.y += stroker->center.y;
   1049     }
   1050 
   1051     error = ft_stroke_border_lineto( border, &delta, FALSE );
   1052 
   1053     return error;
   1054   }
   1055 
   1056 
   1057   /* process an outside corner, i.e. compute bevel/miter/round */
   1058   static FT_Error
   1059   ft_stroker_outside( FT_Stroker  stroker,
   1060                       FT_Int      side,
   1061                       FT_Fixed    line_length )
   1062   {
   1063     FT_StrokeBorder  border = stroker->borders + side;
   1064     FT_Error         error;
   1065     FT_Angle         rotate;
   1066 
   1067 
   1068     if ( stroker->line_join == FT_STROKER_LINEJOIN_ROUND )
   1069       error = ft_stroker_arcto( stroker, side );
   1070     else
   1071     {
   1072       /* this is a mitered (pointed) or beveled (truncated) corner */
   1073       FT_Fixed  sigma = 0, radius = stroker->radius;
   1074       FT_Angle  theta = 0, phi = 0;
   1075       FT_Fixed  thcos = 0;
   1076       FT_Bool   bevel, fixed_bevel;
   1077 
   1078 
   1079       rotate = FT_SIDE_TO_ROTATE( side );
   1080 
   1081       bevel =
   1082         FT_BOOL( stroker->line_join == FT_STROKER_LINEJOIN_BEVEL );
   1083 
   1084       fixed_bevel =
   1085         FT_BOOL( stroker->line_join != FT_STROKER_LINEJOIN_MITER_VARIABLE );
   1086 
   1087       if ( !bevel )
   1088       {
   1089         theta = FT_Angle_Diff( stroker->angle_in, stroker->angle_out );
   1090 
   1091         if ( theta == FT_ANGLE_PI )
   1092         {
   1093           theta = rotate;
   1094           phi   = stroker->angle_in;
   1095         }
   1096         else
   1097         {
   1098           theta /= 2;
   1099           phi    = stroker->angle_in + theta + rotate;
   1100         }
   1101 
   1102         thcos = FT_Cos( theta );
   1103         sigma = FT_MulFix( stroker->miter_limit, thcos );
   1104 
   1105         /* is miter limit exceeded? */
   1106         if ( sigma < 0x10000L )
   1107         {
   1108           /* don't create variable bevels for very small deviations; */
   1109           /* FT_Sin(x) = 0 for x <= 57                               */
   1110           if ( fixed_bevel || ft_pos_abs( theta ) > 57 )
   1111             bevel = TRUE;
   1112         }
   1113       }
   1114 
   1115       if ( bevel )  /* this is a bevel (broken angle) */
   1116       {
   1117         if ( fixed_bevel )
   1118         {
   1119           /* the outer corners are simply joined together */
   1120           FT_Vector  delta;
   1121 
   1122 
   1123           /* add bevel */
   1124           FT_Vector_From_Polar( &delta,
   1125                                 radius,
   1126                                 stroker->angle_out + rotate );
   1127           delta.x += stroker->center.x;
   1128           delta.y += stroker->center.y;
   1129 
   1130           border->movable = FALSE;
   1131           error = ft_stroke_border_lineto( border, &delta, FALSE );
   1132         }
   1133         else /* variable bevel */
   1134         {
   1135           /* the miter is truncated */
   1136           FT_Vector  middle, delta;
   1137           FT_Fixed   length;
   1138 
   1139 
   1140           /* compute middle point */
   1141           FT_Vector_From_Polar( &middle,
   1142                                 FT_MulFix( radius, stroker->miter_limit ),
   1143                                 phi );
   1144           middle.x += stroker->center.x;
   1145           middle.y += stroker->center.y;
   1146 
   1147           /* compute first angle point */
   1148           length = FT_MulDiv( radius, 0x10000L - sigma,
   1149                               ft_pos_abs( FT_Sin( theta ) ) );
   1150 
   1151           FT_Vector_From_Polar( &delta, length, phi + rotate );
   1152           delta.x += middle.x;
   1153           delta.y += middle.y;
   1154 
   1155           error = ft_stroke_border_lineto( border, &delta, FALSE );
   1156           if ( error )
   1157             goto Exit;
   1158 
   1159           /* compute second angle point */
   1160           FT_Vector_From_Polar( &delta, length, phi - rotate );
   1161           delta.x += middle.x;
   1162           delta.y += middle.y;
   1163 
   1164           error = ft_stroke_border_lineto( border, &delta, FALSE );
   1165           if ( error )
   1166             goto Exit;
   1167 
   1168           /* finally, add an end point; only needed if not lineto */
   1169           /* (line_length is zero for curves)                     */
   1170           if ( line_length == 0 )
   1171           {
   1172             FT_Vector_From_Polar( &delta,
   1173                                   radius,
   1174                                   stroker->angle_out + rotate );
   1175 
   1176             delta.x += stroker->center.x;
   1177             delta.y += stroker->center.y;
   1178 
   1179             error = ft_stroke_border_lineto( border, &delta, FALSE );
   1180           }
   1181         }
   1182       }
   1183       else /* this is a miter (intersection) */
   1184       {
   1185         FT_Fixed   length;
   1186         FT_Vector  delta;
   1187 
   1188 
   1189         length = FT_DivFix( stroker->radius, thcos );
   1190 
   1191         FT_Vector_From_Polar( &delta, length, phi );
   1192         delta.x += stroker->center.x;
   1193         delta.y += stroker->center.y;
   1194 
   1195         error = ft_stroke_border_lineto( border, &delta, FALSE );
   1196         if ( error )
   1197           goto Exit;
   1198 
   1199         /* now add an end point; only needed if not lineto */
   1200         /* (line_length is zero for curves)                */
   1201         if ( line_length == 0 )
   1202         {
   1203           FT_Vector_From_Polar( &delta,
   1204                                 stroker->radius,
   1205                                 stroker->angle_out + rotate );
   1206           delta.x += stroker->center.x;
   1207           delta.y += stroker->center.y;
   1208 
   1209           error = ft_stroke_border_lineto( border, &delta, FALSE );
   1210         }
   1211       }
   1212     }
   1213 
   1214   Exit:
   1215     return error;
   1216   }
   1217 
   1218 
   1219   static FT_Error
   1220   ft_stroker_process_corner( FT_Stroker  stroker,
   1221                              FT_Fixed    line_length )
   1222   {
   1223     FT_Error  error = FT_Err_Ok;
   1224     FT_Angle  turn;
   1225     FT_Int    inside_side;
   1226 
   1227 
   1228     turn = FT_Angle_Diff( stroker->angle_in, stroker->angle_out );
   1229 
   1230     /* no specific corner processing is required if the turn is 0 */
   1231     if ( turn == 0 )
   1232       goto Exit;
   1233 
   1234     /* when we turn to the right, the inside side is 0 */
   1235     /* otherwise, the inside side is 1 */
   1236     inside_side = ( turn < 0 );
   1237 
   1238     /* process the inside side */
   1239     error = ft_stroker_inside( stroker, inside_side, line_length );
   1240     if ( error )
   1241       goto Exit;
   1242 
   1243     /* process the outside side */
   1244     error = ft_stroker_outside( stroker, !inside_side, line_length );
   1245 
   1246   Exit:
   1247     return error;
   1248   }
   1249 
   1250 
   1251   /* add two points to the left and right borders corresponding to the */
   1252   /* start of the subpath                                              */
   1253   static FT_Error
   1254   ft_stroker_subpath_start( FT_Stroker  stroker,
   1255                             FT_Angle    start_angle,
   1256                             FT_Fixed    line_length )
   1257   {
   1258     FT_Vector        delta;
   1259     FT_Vector        point;
   1260     FT_Error         error;
   1261     FT_StrokeBorder  border;
   1262 
   1263 
   1264     FT_Vector_From_Polar( &delta, stroker->radius,
   1265                           start_angle + FT_ANGLE_PI2 );
   1266 
   1267     point.x = stroker->center.x + delta.x;
   1268     point.y = stroker->center.y + delta.y;
   1269 
   1270     border = stroker->borders;
   1271     error = ft_stroke_border_moveto( border, &point );
   1272     if ( error )
   1273       goto Exit;
   1274 
   1275     point.x = stroker->center.x - delta.x;
   1276     point.y = stroker->center.y - delta.y;
   1277 
   1278     border++;
   1279     error = ft_stroke_border_moveto( border, &point );
   1280 
   1281     /* save angle, position, and line length for last join */
   1282     /* (line_length is zero for curves)                    */
   1283     stroker->subpath_angle       = start_angle;
   1284     stroker->first_point         = FALSE;
   1285     stroker->subpath_line_length = line_length;
   1286 
   1287   Exit:
   1288     return error;
   1289   }
   1290 
   1291 
   1292   /* documentation is in ftstroke.h */
   1293 
   1294   FT_EXPORT_DEF( FT_Error )
   1295   FT_Stroker_LineTo( FT_Stroker  stroker,
   1296                      FT_Vector*  to )
   1297   {
   1298     FT_Error         error = FT_Err_Ok;
   1299     FT_StrokeBorder  border;
   1300     FT_Vector        delta;
   1301     FT_Angle         angle;
   1302     FT_Int           side;
   1303     FT_Fixed         line_length;
   1304 
   1305 
   1306     if ( !stroker || !to )
   1307       return FT_THROW( Invalid_Argument );
   1308 
   1309     delta.x = to->x - stroker->center.x;
   1310     delta.y = to->y - stroker->center.y;
   1311 
   1312     /* a zero-length lineto is a no-op; avoid creating a spurious corner */
   1313     if ( delta.x == 0 && delta.y == 0 )
   1314        goto Exit;
   1315 
   1316     /* compute length of line */
   1317     line_length = FT_Vector_Length( &delta );
   1318 
   1319     angle = FT_Atan2( delta.x, delta.y );
   1320     FT_Vector_From_Polar( &delta, stroker->radius, angle + FT_ANGLE_PI2 );
   1321 
   1322     /* process corner if necessary */
   1323     if ( stroker->first_point )
   1324     {
   1325       /* This is the first segment of a subpath.  We need to     */
   1326       /* add a point to each border at their respective starting */
   1327       /* point locations.                                        */
   1328       error = ft_stroker_subpath_start( stroker, angle, line_length );
   1329       if ( error )
   1330         goto Exit;
   1331     }
   1332     else
   1333     {
   1334       /* process the current corner */
   1335       stroker->angle_out = angle;
   1336       error = ft_stroker_process_corner( stroker, line_length );
   1337       if ( error )
   1338         goto Exit;
   1339     }
   1340 
   1341     /* now add a line segment to both the `inside' and `outside' paths */
   1342     for ( border = stroker->borders, side = 1; side >= 0; side--, border++ )
   1343     {
   1344       FT_Vector  point;
   1345 
   1346 
   1347       point.x = to->x + delta.x;
   1348       point.y = to->y + delta.y;
   1349 
   1350       /* the ends of lineto borders are movable */
   1351       error = ft_stroke_border_lineto( border, &point, TRUE );
   1352       if ( error )
   1353         goto Exit;
   1354 
   1355       delta.x = -delta.x;
   1356       delta.y = -delta.y;
   1357     }
   1358 
   1359     stroker->angle_in    = angle;
   1360     stroker->center      = *to;
   1361     stroker->line_length = line_length;
   1362 
   1363   Exit:
   1364     return error;
   1365   }
   1366 
   1367 
   1368   /* documentation is in ftstroke.h */
   1369 
   1370   FT_EXPORT_DEF( FT_Error )
   1371   FT_Stroker_ConicTo( FT_Stroker  stroker,
   1372                       FT_Vector*  control,
   1373                       FT_Vector*  to )
   1374   {
   1375     FT_Error    error = FT_Err_Ok;
   1376     FT_Vector   bez_stack[34];
   1377     FT_Vector*  arc;
   1378     FT_Vector*  limit = bez_stack + 30;
   1379     FT_Bool     first_arc = TRUE;
   1380 
   1381 
   1382     if ( !stroker || !control || !to )
   1383     {
   1384       error = FT_THROW( Invalid_Argument );
   1385       goto Exit;
   1386     }
   1387 
   1388     /* if all control points are coincident, this is a no-op; */
   1389     /* avoid creating a spurious corner                       */
   1390     if ( FT_IS_SMALL( stroker->center.x - control->x ) &&
   1391          FT_IS_SMALL( stroker->center.y - control->y ) &&
   1392          FT_IS_SMALL( control->x        - to->x      ) &&
   1393          FT_IS_SMALL( control->y        - to->y      ) )
   1394     {
   1395        stroker->center = *to;
   1396        goto Exit;
   1397     }
   1398 
   1399     arc    = bez_stack;
   1400     arc[0] = *to;
   1401     arc[1] = *control;
   1402     arc[2] = stroker->center;
   1403 
   1404     while ( arc >= bez_stack )
   1405     {
   1406       FT_Angle  angle_in, angle_out;
   1407 
   1408 
   1409       /* initialize with current direction */
   1410       angle_in = angle_out = stroker->angle_in;
   1411 
   1412       if ( arc < limit                                             &&
   1413            !ft_conic_is_small_enough( arc, &angle_in, &angle_out ) )
   1414       {
   1415         if ( stroker->first_point )
   1416           stroker->angle_in = angle_in;
   1417 
   1418         ft_conic_split( arc );
   1419         arc += 2;
   1420         continue;
   1421       }
   1422 
   1423       if ( first_arc )
   1424       {
   1425         first_arc = FALSE;
   1426 
   1427         /* process corner if necessary */
   1428         if ( stroker->first_point )
   1429           error = ft_stroker_subpath_start( stroker, angle_in, 0 );
   1430         else
   1431         {
   1432           stroker->angle_out = angle_in;
   1433           error = ft_stroker_process_corner( stroker, 0 );
   1434         }
   1435       }
   1436       else if ( ft_pos_abs( FT_Angle_Diff( stroker->angle_in, angle_in ) ) >
   1437                   FT_SMALL_CONIC_THRESHOLD / 4                             )
   1438       {
   1439         /* if the deviation from one arc to the next is too great, */
   1440         /* add a round corner                                      */
   1441         stroker->center    = arc[2];
   1442         stroker->angle_out = angle_in;
   1443         stroker->line_join = FT_STROKER_LINEJOIN_ROUND;
   1444 
   1445         error = ft_stroker_process_corner( stroker, 0 );
   1446 
   1447         /* reinstate line join style */
   1448         stroker->line_join = stroker->line_join_saved;
   1449       }
   1450 
   1451       if ( error )
   1452         goto Exit;
   1453 
   1454       /* the arc's angle is small enough; we can add it directly to each */
   1455       /* border                                                          */
   1456       {
   1457         FT_Vector        ctrl, end;
   1458         FT_Angle         theta, phi, rotate, alpha0 = 0;
   1459         FT_Fixed         length;
   1460         FT_StrokeBorder  border;
   1461         FT_Int           side;
   1462 
   1463 
   1464         theta  = FT_Angle_Diff( angle_in, angle_out ) / 2;
   1465         phi    = angle_in + theta;
   1466         length = FT_DivFix( stroker->radius, FT_Cos( theta ) );
   1467 
   1468         /* compute direction of original arc */
   1469         if ( stroker->handle_wide_strokes )
   1470           alpha0 = FT_Atan2( arc[0].x - arc[2].x, arc[0].y - arc[2].y );
   1471 
   1472         for ( border = stroker->borders, side = 0;
   1473               side <= 1;
   1474               side++, border++ )
   1475         {
   1476           rotate = FT_SIDE_TO_ROTATE( side );
   1477 
   1478           /* compute control point */
   1479           FT_Vector_From_Polar( &ctrl, length, phi + rotate );
   1480           ctrl.x += arc[1].x;
   1481           ctrl.y += arc[1].y;
   1482 
   1483           /* compute end point */
   1484           FT_Vector_From_Polar( &end, stroker->radius, angle_out + rotate );
   1485           end.x += arc[0].x;
   1486           end.y += arc[0].y;
   1487 
   1488           if ( stroker->handle_wide_strokes )
   1489           {
   1490             FT_Vector  start;
   1491             FT_Angle   alpha1;
   1492 
   1493 
   1494             /* determine whether the border radius is greater than the */
   1495             /* radius of curvature of the original arc                 */
   1496             start = border->points[border->num_points - 1];
   1497 
   1498             alpha1 = FT_Atan2( end.x - start.x, end.y - start.y );
   1499 
   1500             /* is the direction of the border arc opposite to */
   1501             /* that of the original arc? */
   1502             if ( ft_pos_abs( FT_Angle_Diff( alpha0, alpha1 ) ) >
   1503                    FT_ANGLE_PI / 2                             )
   1504             {
   1505               FT_Angle   beta, gamma;
   1506               FT_Vector  bvec, delta;
   1507               FT_Fixed   blen, sinA, sinB, alen;
   1508 
   1509 
   1510               /* use the sine rule to find the intersection point */
   1511               beta  = FT_Atan2( arc[2].x - start.x, arc[2].y - start.y );
   1512               gamma = FT_Atan2( arc[0].x - end.x,   arc[0].y - end.y );
   1513 
   1514               bvec.x = end.x - start.x;
   1515               bvec.y = end.y - start.y;
   1516 
   1517               blen = FT_Vector_Length( &bvec );
   1518 
   1519               sinA = ft_pos_abs( FT_Sin( alpha1 - gamma ) );
   1520               sinB = ft_pos_abs( FT_Sin( beta - gamma ) );
   1521 
   1522               alen = FT_MulDiv( blen, sinA, sinB );
   1523 
   1524               FT_Vector_From_Polar( &delta, alen, beta );
   1525               delta.x += start.x;
   1526               delta.y += start.y;
   1527 
   1528               /* circumnavigate the negative sector backwards */
   1529               border->movable = FALSE;
   1530               error = ft_stroke_border_lineto( border, &delta, FALSE );
   1531               if ( error )
   1532                 goto Exit;
   1533               error = ft_stroke_border_lineto( border, &end, FALSE );
   1534               if ( error )
   1535                 goto Exit;
   1536               error = ft_stroke_border_conicto( border, &ctrl, &start );
   1537               if ( error )
   1538                 goto Exit;
   1539               /* and then move to the endpoint */
   1540               error = ft_stroke_border_lineto( border, &end, FALSE );
   1541               if ( error )
   1542                 goto Exit;
   1543 
   1544               continue;
   1545             }
   1546 
   1547             /* else fall through */
   1548           }
   1549 
   1550           /* simply add an arc */
   1551           error = ft_stroke_border_conicto( border, &ctrl, &end );
   1552           if ( error )
   1553             goto Exit;
   1554         }
   1555       }
   1556 
   1557       arc -= 2;
   1558 
   1559       stroker->angle_in = angle_out;
   1560     }
   1561 
   1562     stroker->center = *to;
   1563 
   1564   Exit:
   1565     return error;
   1566   }
   1567 
   1568 
   1569   /* documentation is in ftstroke.h */
   1570 
   1571   FT_EXPORT_DEF( FT_Error )
   1572   FT_Stroker_CubicTo( FT_Stroker  stroker,
   1573                       FT_Vector*  control1,
   1574                       FT_Vector*  control2,
   1575                       FT_Vector*  to )
   1576   {
   1577     FT_Error    error = FT_Err_Ok;
   1578     FT_Vector   bez_stack[37];
   1579     FT_Vector*  arc;
   1580     FT_Vector*  limit = bez_stack + 32;
   1581     FT_Bool     first_arc = TRUE;
   1582 
   1583 
   1584     if ( !stroker || !control1 || !control2 || !to )
   1585     {
   1586       error = FT_THROW( Invalid_Argument );
   1587       goto Exit;
   1588     }
   1589 
   1590     /* if all control points are coincident, this is a no-op; */
   1591     /* avoid creating a spurious corner */
   1592     if ( FT_IS_SMALL( stroker->center.x - control1->x ) &&
   1593          FT_IS_SMALL( stroker->center.y - control1->y ) &&
   1594          FT_IS_SMALL( control1->x       - control2->x ) &&
   1595          FT_IS_SMALL( control1->y       - control2->y ) &&
   1596          FT_IS_SMALL( control2->x       - to->x       ) &&
   1597          FT_IS_SMALL( control2->y       - to->y       ) )
   1598     {
   1599        stroker->center = *to;
   1600        goto Exit;
   1601     }
   1602 
   1603     arc    = bez_stack;
   1604     arc[0] = *to;
   1605     arc[1] = *control2;
   1606     arc[2] = *control1;
   1607     arc[3] = stroker->center;
   1608 
   1609     while ( arc >= bez_stack )
   1610     {
   1611       FT_Angle  angle_in, angle_mid, angle_out;
   1612 
   1613 
   1614       /* initialize with current direction */
   1615       angle_in = angle_out = angle_mid = stroker->angle_in;
   1616 
   1617       if ( arc < limit                                         &&
   1618            !ft_cubic_is_small_enough( arc, &angle_in,
   1619                                       &angle_mid, &angle_out ) )
   1620       {
   1621         if ( stroker->first_point )
   1622           stroker->angle_in = angle_in;
   1623 
   1624         ft_cubic_split( arc );
   1625         arc += 3;
   1626         continue;
   1627       }
   1628 
   1629       if ( first_arc )
   1630       {
   1631         first_arc = FALSE;
   1632 
   1633         /* process corner if necessary */
   1634         if ( stroker->first_point )
   1635           error = ft_stroker_subpath_start( stroker, angle_in, 0 );
   1636         else
   1637         {
   1638           stroker->angle_out = angle_in;
   1639           error = ft_stroker_process_corner( stroker, 0 );
   1640         }
   1641       }
   1642       else if ( ft_pos_abs( FT_Angle_Diff( stroker->angle_in, angle_in ) ) >
   1643                   FT_SMALL_CUBIC_THRESHOLD / 4                             )
   1644       {
   1645         /* if the deviation from one arc to the next is too great, */
   1646         /* add a round corner                                      */
   1647         stroker->center    = arc[3];
   1648         stroker->angle_out = angle_in;
   1649         stroker->line_join = FT_STROKER_LINEJOIN_ROUND;
   1650 
   1651         error = ft_stroker_process_corner( stroker, 0 );
   1652 
   1653         /* reinstate line join style */
   1654         stroker->line_join = stroker->line_join_saved;
   1655       }
   1656 
   1657       if ( error )
   1658         goto Exit;
   1659 
   1660       /* the arc's angle is small enough; we can add it directly to each */
   1661       /* border                                                          */
   1662       {
   1663         FT_Vector        ctrl1, ctrl2, end;
   1664         FT_Angle         theta1, phi1, theta2, phi2, rotate, alpha0 = 0;
   1665         FT_Fixed         length1, length2;
   1666         FT_StrokeBorder  border;
   1667         FT_Int           side;
   1668 
   1669 
   1670         theta1  = FT_Angle_Diff( angle_in,  angle_mid ) / 2;
   1671         theta2  = FT_Angle_Diff( angle_mid, angle_out ) / 2;
   1672         phi1    = ft_angle_mean( angle_in,  angle_mid );
   1673         phi2    = ft_angle_mean( angle_mid, angle_out );
   1674         length1 = FT_DivFix( stroker->radius, FT_Cos( theta1 ) );
   1675         length2 = FT_DivFix( stroker->radius, FT_Cos( theta2 ) );
   1676 
   1677         /* compute direction of original arc */
   1678         if ( stroker->handle_wide_strokes )
   1679           alpha0 = FT_Atan2( arc[0].x - arc[3].x, arc[0].y - arc[3].y );
   1680 
   1681         for ( border = stroker->borders, side = 0;
   1682               side <= 1;
   1683               side++, border++ )
   1684         {
   1685           rotate = FT_SIDE_TO_ROTATE( side );
   1686 
   1687           /* compute control points */
   1688           FT_Vector_From_Polar( &ctrl1, length1, phi1 + rotate );
   1689           ctrl1.x += arc[2].x;
   1690           ctrl1.y += arc[2].y;
   1691 
   1692           FT_Vector_From_Polar( &ctrl2, length2, phi2 + rotate );
   1693           ctrl2.x += arc[1].x;
   1694           ctrl2.y += arc[1].y;
   1695 
   1696           /* compute end point */
   1697           FT_Vector_From_Polar( &end, stroker->radius, angle_out + rotate );
   1698           end.x += arc[0].x;
   1699           end.y += arc[0].y;
   1700 
   1701           if ( stroker->handle_wide_strokes )
   1702           {
   1703             FT_Vector  start;
   1704             FT_Angle   alpha1;
   1705 
   1706 
   1707             /* determine whether the border radius is greater than the */
   1708             /* radius of curvature of the original arc                 */
   1709             start = border->points[border->num_points - 1];
   1710 
   1711             alpha1 = FT_Atan2( end.x - start.x, end.y - start.y );
   1712 
   1713             /* is the direction of the border arc opposite to */
   1714             /* that of the original arc? */
   1715             if ( ft_pos_abs( FT_Angle_Diff( alpha0, alpha1 ) ) >
   1716                    FT_ANGLE_PI / 2                             )
   1717             {
   1718               FT_Angle   beta, gamma;
   1719               FT_Vector  bvec, delta;
   1720               FT_Fixed   blen, sinA, sinB, alen;
   1721 
   1722 
   1723               /* use the sine rule to find the intersection point */
   1724               beta  = FT_Atan2( arc[3].x - start.x, arc[3].y - start.y );
   1725               gamma = FT_Atan2( arc[0].x - end.x,   arc[0].y - end.y );
   1726 
   1727               bvec.x = end.x - start.x;
   1728               bvec.y = end.y - start.y;
   1729 
   1730               blen = FT_Vector_Length( &bvec );
   1731 
   1732               sinA = ft_pos_abs( FT_Sin( alpha1 - gamma ) );
   1733               sinB = ft_pos_abs( FT_Sin( beta - gamma ) );
   1734 
   1735               alen = FT_MulDiv( blen, sinA, sinB );
   1736 
   1737               FT_Vector_From_Polar( &delta, alen, beta );
   1738               delta.x += start.x;
   1739               delta.y += start.y;
   1740 
   1741               /* circumnavigate the negative sector backwards */
   1742               border->movable = FALSE;
   1743               error = ft_stroke_border_lineto( border, &delta, FALSE );
   1744               if ( error )
   1745                 goto Exit;
   1746               error = ft_stroke_border_lineto( border, &end, FALSE );
   1747               if ( error )
   1748                 goto Exit;
   1749               error = ft_stroke_border_cubicto( border,
   1750                                                 &ctrl2,
   1751                                                 &ctrl1,
   1752                                                 &start );
   1753               if ( error )
   1754                 goto Exit;
   1755               /* and then move to the endpoint */
   1756               error = ft_stroke_border_lineto( border, &end, FALSE );
   1757               if ( error )
   1758                 goto Exit;
   1759 
   1760               continue;
   1761             }
   1762 
   1763             /* else fall through */
   1764           }
   1765 
   1766           /* simply add an arc */
   1767           error = ft_stroke_border_cubicto( border, &ctrl1, &ctrl2, &end );
   1768           if ( error )
   1769             goto Exit;
   1770         }
   1771       }
   1772 
   1773       arc -= 3;
   1774 
   1775       stroker->angle_in = angle_out;
   1776     }
   1777 
   1778     stroker->center = *to;
   1779 
   1780   Exit:
   1781     return error;
   1782   }
   1783 
   1784 
   1785   /* documentation is in ftstroke.h */
   1786 
   1787   FT_EXPORT_DEF( FT_Error )
   1788   FT_Stroker_BeginSubPath( FT_Stroker  stroker,
   1789                            FT_Vector*  to,
   1790                            FT_Bool     open )
   1791   {
   1792     if ( !stroker || !to )
   1793       return FT_THROW( Invalid_Argument );
   1794 
   1795     /* We cannot process the first point, because there is not enough      */
   1796     /* information regarding its corner/cap.  The latter will be processed */
   1797     /* in the `FT_Stroker_EndSubPath' routine.                             */
   1798     /*                                                                     */
   1799     stroker->first_point  = TRUE;
   1800     stroker->center       = *to;
   1801     stroker->subpath_open = open;
   1802 
   1803     /* Determine if we need to check whether the border radius is greater */
   1804     /* than the radius of curvature of a curve, to handle this case       */
   1805     /* specially.  This is only required if bevel joins or butt caps may  */
   1806     /* be created, because round & miter joins and round & square caps    */
   1807     /* cover the negative sector created with wide strokes.               */
   1808     stroker->handle_wide_strokes =
   1809       FT_BOOL( stroker->line_join != FT_STROKER_LINEJOIN_ROUND  ||
   1810                ( stroker->subpath_open                        &&
   1811                  stroker->line_cap == FT_STROKER_LINECAP_BUTT ) );
   1812 
   1813     /* record the subpath start point for each border */
   1814     stroker->subpath_start = *to;
   1815 
   1816     stroker->angle_in = 0;
   1817 
   1818     return FT_Err_Ok;
   1819   }
   1820 
   1821 
   1822   static FT_Error
   1823   ft_stroker_add_reverse_left( FT_Stroker  stroker,
   1824                                FT_Bool     open )
   1825   {
   1826     FT_StrokeBorder  right = stroker->borders + 0;
   1827     FT_StrokeBorder  left  = stroker->borders + 1;
   1828     FT_Int           new_points;
   1829     FT_Error         error = FT_Err_Ok;
   1830 
   1831 
   1832     FT_ASSERT( left->start >= 0 );
   1833 
   1834     new_points = (FT_Int)left->num_points - left->start;
   1835     if ( new_points > 0 )
   1836     {
   1837       error = ft_stroke_border_grow( right, (FT_UInt)new_points );
   1838       if ( error )
   1839         goto Exit;
   1840 
   1841       {
   1842         FT_Vector*  dst_point = right->points + right->num_points;
   1843         FT_Byte*    dst_tag   = right->tags   + right->num_points;
   1844         FT_Vector*  src_point = left->points  + left->num_points - 1;
   1845         FT_Byte*    src_tag   = left->tags    + left->num_points - 1;
   1846 
   1847 
   1848         while ( src_point >= left->points + left->start )
   1849         {
   1850           *dst_point = *src_point;
   1851           *dst_tag   = *src_tag;
   1852 
   1853           if ( open )
   1854             dst_tag[0] &= ~FT_STROKE_TAG_BEGIN_END;
   1855           else
   1856           {
   1857             FT_Byte  ttag =
   1858                        (FT_Byte)( dst_tag[0] & FT_STROKE_TAG_BEGIN_END );
   1859 
   1860 
   1861             /* switch begin/end tags if necessary */
   1862             if ( ttag == FT_STROKE_TAG_BEGIN ||
   1863                  ttag == FT_STROKE_TAG_END   )
   1864               dst_tag[0] ^= FT_STROKE_TAG_BEGIN_END;
   1865           }
   1866 
   1867           src_point--;
   1868           src_tag--;
   1869           dst_point++;
   1870           dst_tag++;
   1871         }
   1872       }
   1873 
   1874       left->num_points   = (FT_UInt)left->start;
   1875       right->num_points += (FT_UInt)new_points;
   1876 
   1877       right->movable = FALSE;
   1878       left->movable  = FALSE;
   1879     }
   1880 
   1881   Exit:
   1882     return error;
   1883   }
   1884 
   1885 
   1886   /* documentation is in ftstroke.h */
   1887 
   1888   /* there's a lot of magic in this function! */
   1889   FT_EXPORT_DEF( FT_Error )
   1890   FT_Stroker_EndSubPath( FT_Stroker  stroker )
   1891   {
   1892     FT_Error  error = FT_Err_Ok;
   1893 
   1894 
   1895     if ( !stroker )
   1896     {
   1897       error = FT_THROW( Invalid_Argument );
   1898       goto Exit;
   1899     }
   1900 
   1901     if ( stroker->subpath_open )
   1902     {
   1903       FT_StrokeBorder  right = stroker->borders;
   1904 
   1905 
   1906       /* All right, this is an opened path, we need to add a cap between */
   1907       /* right & left, add the reverse of left, then add a final cap     */
   1908       /* between left & right.                                           */
   1909       error = ft_stroker_cap( stroker, stroker->angle_in, 0 );
   1910       if ( error )
   1911         goto Exit;
   1912 
   1913       /* add reversed points from `left' to `right' */
   1914       error = ft_stroker_add_reverse_left( stroker, TRUE );
   1915       if ( error )
   1916         goto Exit;
   1917 
   1918       /* now add the final cap */
   1919       stroker->center = stroker->subpath_start;
   1920       error = ft_stroker_cap( stroker,
   1921                               stroker->subpath_angle + FT_ANGLE_PI, 0 );
   1922       if ( error )
   1923         goto Exit;
   1924 
   1925       /* Now end the right subpath accordingly.  The left one is */
   1926       /* rewind and doesn't need further processing.             */
   1927       ft_stroke_border_close( right, FALSE );
   1928     }
   1929     else
   1930     {
   1931       FT_Angle  turn;
   1932       FT_Int    inside_side;
   1933 
   1934 
   1935       /* close the path if needed */
   1936       if ( stroker->center.x != stroker->subpath_start.x ||
   1937            stroker->center.y != stroker->subpath_start.y )
   1938       {
   1939          error = FT_Stroker_LineTo( stroker, &stroker->subpath_start );
   1940          if ( error )
   1941            goto Exit;
   1942       }
   1943 
   1944       /* process the corner */
   1945       stroker->angle_out = stroker->subpath_angle;
   1946       turn               = FT_Angle_Diff( stroker->angle_in,
   1947                                           stroker->angle_out );
   1948 
   1949       /* no specific corner processing is required if the turn is 0 */
   1950       if ( turn != 0 )
   1951       {
   1952         /* when we turn to the right, the inside side is 0 */
   1953         /* otherwise, the inside side is 1 */
   1954         inside_side = ( turn < 0 );
   1955 
   1956         error = ft_stroker_inside( stroker,
   1957                                    inside_side,
   1958                                    stroker->subpath_line_length );
   1959         if ( error )
   1960           goto Exit;
   1961 
   1962         /* process the outside side */
   1963         error = ft_stroker_outside( stroker,
   1964                                     !inside_side,
   1965                                     stroker->subpath_line_length );
   1966         if ( error )
   1967           goto Exit;
   1968       }
   1969 
   1970       /* then end our two subpaths */
   1971       ft_stroke_border_close( stroker->borders + 0, FALSE );
   1972       ft_stroke_border_close( stroker->borders + 1, TRUE );
   1973     }
   1974 
   1975   Exit:
   1976     return error;
   1977   }
   1978 
   1979 
   1980   /* documentation is in ftstroke.h */
   1981 
   1982   FT_EXPORT_DEF( FT_Error )
   1983   FT_Stroker_GetBorderCounts( FT_Stroker        stroker,
   1984                               FT_StrokerBorder  border,
   1985                               FT_UInt          *anum_points,
   1986                               FT_UInt          *anum_contours )
   1987   {
   1988     FT_UInt   num_points = 0, num_contours = 0;
   1989     FT_Error  error;
   1990 
   1991 
   1992     if ( !stroker || border > 1 )
   1993     {
   1994       error = FT_THROW( Invalid_Argument );
   1995       goto Exit;
   1996     }
   1997 
   1998     error = ft_stroke_border_get_counts( stroker->borders + border,
   1999                                          &num_points, &num_contours );
   2000   Exit:
   2001     if ( anum_points )
   2002       *anum_points = num_points;
   2003 
   2004     if ( anum_contours )
   2005       *anum_contours = num_contours;
   2006 
   2007     return error;
   2008   }
   2009 
   2010 
   2011   /* documentation is in ftstroke.h */
   2012 
   2013   FT_EXPORT_DEF( FT_Error )
   2014   FT_Stroker_GetCounts( FT_Stroker  stroker,
   2015                         FT_UInt    *anum_points,
   2016                         FT_UInt    *anum_contours )
   2017   {
   2018     FT_UInt   count1, count2, num_points   = 0;
   2019     FT_UInt   count3, count4, num_contours = 0;
   2020     FT_Error  error;
   2021 
   2022 
   2023     if ( !stroker )
   2024     {
   2025       error = FT_THROW( Invalid_Argument );
   2026       goto Exit;
   2027     }
   2028 
   2029     error = ft_stroke_border_get_counts( stroker->borders + 0,
   2030                                          &count1, &count2 );
   2031     if ( error )
   2032       goto Exit;
   2033 
   2034     error = ft_stroke_border_get_counts( stroker->borders + 1,
   2035                                          &count3, &count4 );
   2036     if ( error )
   2037       goto Exit;
   2038 
   2039     num_points   = count1 + count3;
   2040     num_contours = count2 + count4;
   2041 
   2042   Exit:
   2043     if ( anum_points )
   2044       *anum_points   = num_points;
   2045 
   2046     if ( anum_contours )
   2047       *anum_contours = num_contours;
   2048 
   2049     return error;
   2050   }
   2051 
   2052 
   2053   /* documentation is in ftstroke.h */
   2054 
   2055   FT_EXPORT_DEF( void )
   2056   FT_Stroker_ExportBorder( FT_Stroker        stroker,
   2057                            FT_StrokerBorder  border,
   2058                            FT_Outline*       outline )
   2059   {
   2060     if ( !stroker || !outline )
   2061       return;
   2062 
   2063     if ( border == FT_STROKER_BORDER_LEFT  ||
   2064          border == FT_STROKER_BORDER_RIGHT )
   2065     {
   2066       FT_StrokeBorder  sborder = & stroker->borders[border];
   2067 
   2068 
   2069       if ( sborder->valid )
   2070         ft_stroke_border_export( sborder, outline );
   2071     }
   2072   }
   2073 
   2074 
   2075   /* documentation is in ftstroke.h */
   2076 
   2077   FT_EXPORT_DEF( void )
   2078   FT_Stroker_Export( FT_Stroker   stroker,
   2079                      FT_Outline*  outline )
   2080   {
   2081     FT_Stroker_ExportBorder( stroker, FT_STROKER_BORDER_LEFT, outline );
   2082     FT_Stroker_ExportBorder( stroker, FT_STROKER_BORDER_RIGHT, outline );
   2083   }
   2084 
   2085 
   2086   /* documentation is in ftstroke.h */
   2087 
   2088   /*
   2089    *  The following is very similar to FT_Outline_Decompose, except
   2090    *  that we do support opened paths, and do not scale the outline.
   2091    */
   2092   FT_EXPORT_DEF( FT_Error )
   2093   FT_Stroker_ParseOutline( FT_Stroker   stroker,
   2094                            FT_Outline*  outline,
   2095                            FT_Bool      opened )
   2096   {
   2097     FT_Vector   v_last;
   2098     FT_Vector   v_control;
   2099     FT_Vector   v_start;
   2100 
   2101     FT_Vector*  point;
   2102     FT_Vector*  limit;
   2103     char*       tags;
   2104 
   2105     FT_Error    error;
   2106 
   2107     FT_Int      n;         /* index of contour in outline     */
   2108     FT_UInt     first;     /* index of first point in contour */
   2109     FT_Int      tag;       /* current point's state           */
   2110 
   2111 
   2112     if ( !outline )
   2113       return FT_THROW( Invalid_Outline );
   2114 
   2115     if ( !stroker )
   2116       return FT_THROW( Invalid_Argument );
   2117 
   2118     FT_Stroker_Rewind( stroker );
   2119 
   2120     first = 0;
   2121 
   2122     for ( n = 0; n < outline->n_contours; n++ )
   2123     {
   2124       FT_UInt  last;  /* index of last point in contour */
   2125 
   2126 
   2127       last  = (FT_UInt)outline->contours[n];
   2128       limit = outline->points + last;
   2129 
   2130       /* skip empty points; we don't stroke these */
   2131       if ( last <= first )
   2132       {
   2133         first = last + 1;
   2134         continue;
   2135       }
   2136 
   2137       v_start = outline->points[first];
   2138       v_last  = outline->points[last];
   2139 
   2140       v_control = v_start;
   2141 
   2142       point = outline->points + first;
   2143       tags  = outline->tags   + first;
   2144       tag   = FT_CURVE_TAG( tags[0] );
   2145 
   2146       /* A contour cannot start with a cubic control point! */
   2147       if ( tag == FT_CURVE_TAG_CUBIC )
   2148         goto Invalid_Outline;
   2149 
   2150       /* check first point to determine origin */
   2151       if ( tag == FT_CURVE_TAG_CONIC )
   2152       {
   2153         /* First point is conic control.  Yes, this happens. */
   2154         if ( FT_CURVE_TAG( outline->tags[last] ) == FT_CURVE_TAG_ON )
   2155         {
   2156           /* start at last point if it is on the curve */
   2157           v_start = v_last;
   2158           limit--;
   2159         }
   2160         else
   2161         {
   2162           /* if both first and last points are conic, */
   2163           /* start at their middle                    */
   2164           v_start.x = ( v_start.x + v_last.x ) / 2;
   2165           v_start.y = ( v_start.y + v_last.y ) / 2;
   2166         }
   2167         point--;
   2168         tags--;
   2169       }
   2170 
   2171       error = FT_Stroker_BeginSubPath( stroker, &v_start, opened );
   2172       if ( error )
   2173         goto Exit;
   2174 
   2175       while ( point < limit )
   2176       {
   2177         point++;
   2178         tags++;
   2179 
   2180         tag = FT_CURVE_TAG( tags[0] );
   2181         switch ( tag )
   2182         {
   2183         case FT_CURVE_TAG_ON:  /* emit a single line_to */
   2184           {
   2185             FT_Vector  vec;
   2186 
   2187 
   2188             vec.x = point->x;
   2189             vec.y = point->y;
   2190 
   2191             error = FT_Stroker_LineTo( stroker, &vec );
   2192             if ( error )
   2193               goto Exit;
   2194             continue;
   2195           }
   2196 
   2197         case FT_CURVE_TAG_CONIC:  /* consume conic arcs */
   2198           v_control.x = point->x;
   2199           v_control.y = point->y;
   2200 
   2201         Do_Conic:
   2202           if ( point < limit )
   2203           {
   2204             FT_Vector  vec;
   2205             FT_Vector  v_middle;
   2206 
   2207 
   2208             point++;
   2209             tags++;
   2210             tag = FT_CURVE_TAG( tags[0] );
   2211 
   2212             vec = point[0];
   2213 
   2214             if ( tag == FT_CURVE_TAG_ON )
   2215             {
   2216               error = FT_Stroker_ConicTo( stroker, &v_control, &vec );
   2217               if ( error )
   2218                 goto Exit;
   2219               continue;
   2220             }
   2221 
   2222             if ( tag != FT_CURVE_TAG_CONIC )
   2223               goto Invalid_Outline;
   2224 
   2225             v_middle.x = ( v_control.x + vec.x ) / 2;
   2226             v_middle.y = ( v_control.y + vec.y ) / 2;
   2227 
   2228             error = FT_Stroker_ConicTo( stroker, &v_control, &v_middle );
   2229             if ( error )
   2230               goto Exit;
   2231 
   2232             v_control = vec;
   2233             goto Do_Conic;
   2234           }
   2235 
   2236           error = FT_Stroker_ConicTo( stroker, &v_control, &v_start );
   2237           goto Close;
   2238 
   2239         default:  /* FT_CURVE_TAG_CUBIC */
   2240           {
   2241             FT_Vector  vec1, vec2;
   2242 
   2243 
   2244             if ( point + 1 > limit                             ||
   2245                  FT_CURVE_TAG( tags[1] ) != FT_CURVE_TAG_CUBIC )
   2246               goto Invalid_Outline;
   2247 
   2248             point += 2;
   2249             tags  += 2;
   2250 
   2251             vec1 = point[-2];
   2252             vec2 = point[-1];
   2253 
   2254             if ( point <= limit )
   2255             {
   2256               FT_Vector  vec;
   2257 
   2258 
   2259               vec = point[0];
   2260 
   2261               error = FT_Stroker_CubicTo( stroker, &vec1, &vec2, &vec );
   2262               if ( error )
   2263                 goto Exit;
   2264               continue;
   2265             }
   2266 
   2267             error = FT_Stroker_CubicTo( stroker, &vec1, &vec2, &v_start );
   2268             goto Close;
   2269           }
   2270         }
   2271       }
   2272 
   2273     Close:
   2274       if ( error )
   2275         goto Exit;
   2276 
   2277       /* don't try to end the path if no segments have been generated */
   2278       if ( !stroker->first_point )
   2279       {
   2280         error = FT_Stroker_EndSubPath( stroker );
   2281         if ( error )
   2282           goto Exit;
   2283       }
   2284 
   2285       first = last + 1;
   2286     }
   2287 
   2288     return FT_Err_Ok;
   2289 
   2290   Exit:
   2291     return error;
   2292 
   2293   Invalid_Outline:
   2294     return FT_THROW( Invalid_Outline );
   2295   }
   2296 
   2297 
   2298   /* documentation is in ftstroke.h */
   2299 
   2300   FT_EXPORT_DEF( FT_Error )
   2301   FT_Glyph_Stroke( FT_Glyph    *pglyph,
   2302                    FT_Stroker   stroker,
   2303                    FT_Bool      destroy )
   2304   {
   2305     FT_Error  error = FT_ERR( Invalid_Argument );
   2306     FT_Glyph  glyph = NULL;
   2307 
   2308     /* for FT_OUTLINE_GLYPH_CLASS_GET (in PIC mode) */
   2309     FT_Library  library = stroker->library;
   2310 
   2311     FT_UNUSED( library );
   2312 
   2313 
   2314     if ( !pglyph )
   2315       goto Exit;
   2316 
   2317     glyph = *pglyph;
   2318     if ( !glyph || glyph->clazz != FT_OUTLINE_GLYPH_CLASS_GET )
   2319       goto Exit;
   2320 
   2321     {
   2322       FT_Glyph  copy;
   2323 
   2324 
   2325       error = FT_Glyph_Copy( glyph, &copy );
   2326       if ( error )
   2327         goto Exit;
   2328 
   2329       glyph = copy;
   2330     }
   2331 
   2332     {
   2333       FT_OutlineGlyph  oglyph  = (FT_OutlineGlyph)glyph;
   2334       FT_Outline*      outline = &oglyph->outline;
   2335       FT_UInt          num_points, num_contours;
   2336 
   2337 
   2338       error = FT_Stroker_ParseOutline( stroker, outline, FALSE );
   2339       if ( error )
   2340         goto Fail;
   2341 
   2342       FT_Stroker_GetCounts( stroker, &num_points, &num_contours );
   2343 
   2344       FT_Outline_Done( glyph->library, outline );
   2345 
   2346       error = FT_Outline_New( glyph->library,
   2347                               num_points,
   2348                               (FT_Int)num_contours,
   2349                               outline );
   2350       if ( error )
   2351         goto Fail;
   2352 
   2353       outline->n_points   = 0;
   2354       outline->n_contours = 0;
   2355 
   2356       FT_Stroker_Export( stroker, outline );
   2357     }
   2358 
   2359     if ( destroy )
   2360       FT_Done_Glyph( *pglyph );
   2361 
   2362     *pglyph = glyph;
   2363     goto Exit;
   2364 
   2365   Fail:
   2366     FT_Done_Glyph( glyph );
   2367     glyph = NULL;
   2368 
   2369     if ( !destroy )
   2370       *pglyph = NULL;
   2371 
   2372   Exit:
   2373     return error;
   2374   }
   2375 
   2376 
   2377   /* documentation is in ftstroke.h */
   2378 
   2379   FT_EXPORT_DEF( FT_Error )
   2380   FT_Glyph_StrokeBorder( FT_Glyph    *pglyph,
   2381                          FT_Stroker   stroker,
   2382                          FT_Bool      inside,
   2383                          FT_Bool      destroy )
   2384   {
   2385     FT_Error  error = FT_ERR( Invalid_Argument );
   2386     FT_Glyph  glyph = NULL;
   2387 
   2388     /* for FT_OUTLINE_GLYPH_CLASS_GET (in PIC mode) */
   2389     FT_Library  library = stroker->library;
   2390 
   2391     FT_UNUSED( library );
   2392 
   2393 
   2394     if ( !pglyph )
   2395       goto Exit;
   2396 
   2397     glyph = *pglyph;
   2398     if ( !glyph || glyph->clazz != FT_OUTLINE_GLYPH_CLASS_GET )
   2399       goto Exit;
   2400 
   2401     {
   2402       FT_Glyph  copy;
   2403 
   2404 
   2405       error = FT_Glyph_Copy( glyph, &copy );
   2406       if ( error )
   2407         goto Exit;
   2408 
   2409       glyph = copy;
   2410     }
   2411 
   2412     {
   2413       FT_OutlineGlyph   oglyph  = (FT_OutlineGlyph)glyph;
   2414       FT_StrokerBorder  border;
   2415       FT_Outline*       outline = &oglyph->outline;
   2416       FT_UInt           num_points, num_contours;
   2417 
   2418 
   2419       border = FT_Outline_GetOutsideBorder( outline );
   2420       if ( inside )
   2421       {
   2422         if ( border == FT_STROKER_BORDER_LEFT )
   2423           border = FT_STROKER_BORDER_RIGHT;
   2424         else
   2425           border = FT_STROKER_BORDER_LEFT;
   2426       }
   2427 
   2428       error = FT_Stroker_ParseOutline( stroker, outline, FALSE );
   2429       if ( error )
   2430         goto Fail;
   2431 
   2432       FT_Stroker_GetBorderCounts( stroker, border,
   2433                                   &num_points, &num_contours );
   2434 
   2435       FT_Outline_Done( glyph->library, outline );
   2436 
   2437       error = FT_Outline_New( glyph->library,
   2438                               num_points,
   2439                               (FT_Int)num_contours,
   2440                               outline );
   2441       if ( error )
   2442         goto Fail;
   2443 
   2444       outline->n_points   = 0;
   2445       outline->n_contours = 0;
   2446 
   2447       FT_Stroker_ExportBorder( stroker, border, outline );
   2448     }
   2449 
   2450     if ( destroy )
   2451       FT_Done_Glyph( *pglyph );
   2452 
   2453     *pglyph = glyph;
   2454     goto Exit;
   2455 
   2456   Fail:
   2457     FT_Done_Glyph( glyph );
   2458     glyph = NULL;
   2459 
   2460     if ( !destroy )
   2461       *pglyph = NULL;
   2462 
   2463   Exit:
   2464     return error;
   2465   }
   2466 
   2467 
   2468 /* END */
   2469