misc/libfreetype/src/base/ftstroke.c
branchwebgl
changeset 9521 8054d9d775fd
parent 9282 92af50454cf2
parent 9519 b8b5c82eb61b
child 9950 2759212a27de
--- a/misc/libfreetype/src/base/ftstroke.c	Fri Oct 11 11:55:31 2013 +0200
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,2038 +0,0 @@
-/***************************************************************************/
-/*                                                                         */
-/*  ftstroke.c                                                             */
-/*                                                                         */
-/*    FreeType path stroker (body).                                        */
-/*                                                                         */
-/*  Copyright 2002-2006, 2008-2011 by                                      */
-/*  David Turner, Robert Wilhelm, and Werner Lemberg.                      */
-/*                                                                         */
-/*  This file is part of the FreeType project, and may only be used,       */
-/*  modified, and distributed under the terms of the FreeType project      */
-/*  license, LICENSE.TXT.  By continuing to use, modify, or distribute     */
-/*  this file you indicate that you have read the license and              */
-/*  understand and accept it fully.                                        */
-/*                                                                         */
-/***************************************************************************/
-
-
-#include <ft2build.h>
-#include FT_STROKER_H
-#include FT_TRIGONOMETRY_H
-#include FT_OUTLINE_H
-#include FT_INTERNAL_MEMORY_H
-#include FT_INTERNAL_DEBUG_H
-#include FT_INTERNAL_OBJECTS_H
-
-
-  /* documentation is in ftstroke.h */
-
-  FT_EXPORT_DEF( FT_StrokerBorder )
-  FT_Outline_GetInsideBorder( FT_Outline*  outline )
-  {
-    FT_Orientation  o = FT_Outline_Get_Orientation( outline );
-
-
-    return o == FT_ORIENTATION_TRUETYPE ? FT_STROKER_BORDER_RIGHT
-                                        : FT_STROKER_BORDER_LEFT ;
-  }
-
-
-  /* documentation is in ftstroke.h */
-
-  FT_EXPORT_DEF( FT_StrokerBorder )
-  FT_Outline_GetOutsideBorder( FT_Outline*  outline )
-  {
-    FT_Orientation  o = FT_Outline_Get_Orientation( outline );
-
-
-    return o == FT_ORIENTATION_TRUETYPE ? FT_STROKER_BORDER_LEFT
-                                        : FT_STROKER_BORDER_RIGHT ;
-  }
-
-
- /***************************************************************************/
- /***************************************************************************/
- /*****                                                                 *****/
- /*****                       BEZIER COMPUTATIONS                       *****/
- /*****                                                                 *****/
- /***************************************************************************/
- /***************************************************************************/
-
-#define FT_SMALL_CONIC_THRESHOLD  ( FT_ANGLE_PI / 6 )
-#define FT_SMALL_CUBIC_THRESHOLD  ( FT_ANGLE_PI / 6 )
-#define FT_EPSILON  2
-
-#define FT_IS_SMALL( x )  ( (x) > -FT_EPSILON && (x) < FT_EPSILON )
-
-
-  static FT_Pos
-  ft_pos_abs( FT_Pos  x )
-  {
-    return x >= 0 ? x : -x ;
-  }
-
-
-  static void
-  ft_conic_split( FT_Vector*  base )
-  {
-    FT_Pos  a, b;
-
-
-    base[4].x = base[2].x;
-    b = base[1].x;
-    a = base[3].x = ( base[2].x + b ) / 2;
-    b = base[1].x = ( base[0].x + b ) / 2;
-    base[2].x = ( a + b ) / 2;
-
-    base[4].y = base[2].y;
-    b = base[1].y;
-    a = base[3].y = ( base[2].y + b ) / 2;
-    b = base[1].y = ( base[0].y + b ) / 2;
-    base[2].y = ( a + b ) / 2;
-  }
-
-
-  static FT_Bool
-  ft_conic_is_small_enough( FT_Vector*  base,
-                            FT_Angle   *angle_in,
-                            FT_Angle   *angle_out )
-  {
-    FT_Vector  d1, d2;
-    FT_Angle   theta;
-    FT_Int     close1, close2;
-
-
-    d1.x = base[1].x - base[2].x;
-    d1.y = base[1].y - base[2].y;
-    d2.x = base[0].x - base[1].x;
-    d2.y = base[0].y - base[1].y;
-
-    close1 = FT_IS_SMALL( d1.x ) && FT_IS_SMALL( d1.y );
-    close2 = FT_IS_SMALL( d2.x ) && FT_IS_SMALL( d2.y );
-
-    if ( close1 )
-    {
-      if ( close2 )
-        *angle_in = *angle_out = 0;
-      else
-        *angle_in = *angle_out = FT_Atan2( d2.x, d2.y );
-    }
-    else if ( close2 )
-    {
-      *angle_in = *angle_out = FT_Atan2( d1.x, d1.y );
-    }
-    else
-    {
-      *angle_in  = FT_Atan2( d1.x, d1.y );
-      *angle_out = FT_Atan2( d2.x, d2.y );
-    }
-
-    theta = ft_pos_abs( FT_Angle_Diff( *angle_in, *angle_out ) );
-
-    return FT_BOOL( theta < FT_SMALL_CONIC_THRESHOLD );
-  }
-
-
-  static void
-  ft_cubic_split( FT_Vector*  base )
-  {
-    FT_Pos  a, b, c, d;
-
-
-    base[6].x = base[3].x;
-    c = base[1].x;
-    d = base[2].x;
-    base[1].x = a = ( base[0].x + c ) / 2;
-    base[5].x = b = ( base[3].x + d ) / 2;
-    c = ( c + d ) / 2;
-    base[2].x = a = ( a + c ) / 2;
-    base[4].x = b = ( b + c ) / 2;
-    base[3].x = ( a + b ) / 2;
-
-    base[6].y = base[3].y;
-    c = base[1].y;
-    d = base[2].y;
-    base[1].y = a = ( base[0].y + c ) / 2;
-    base[5].y = b = ( base[3].y + d ) / 2;
-    c = ( c + d ) / 2;
-    base[2].y = a = ( a + c ) / 2;
-    base[4].y = b = ( b + c ) / 2;
-    base[3].y = ( a + b ) / 2;
-  }
-
-
-  static FT_Bool
-  ft_cubic_is_small_enough( FT_Vector*  base,
-                            FT_Angle   *angle_in,
-                            FT_Angle   *angle_mid,
-                            FT_Angle   *angle_out )
-  {
-    FT_Vector  d1, d2, d3;
-    FT_Angle   theta1, theta2;
-    FT_Int     close1, close2, close3;
-
-
-    d1.x = base[2].x - base[3].x;
-    d1.y = base[2].y - base[3].y;
-    d2.x = base[1].x - base[2].x;
-    d2.y = base[1].y - base[2].y;
-    d3.x = base[0].x - base[1].x;
-    d3.y = base[0].y - base[1].y;
-
-    close1 = FT_IS_SMALL( d1.x ) && FT_IS_SMALL( d1.y );
-    close2 = FT_IS_SMALL( d2.x ) && FT_IS_SMALL( d2.y );
-    close3 = FT_IS_SMALL( d3.x ) && FT_IS_SMALL( d3.y );
-
-    if ( close1 || close3 )
-    {
-      if ( close2 )
-      {
-        /* basically a point */
-        *angle_in = *angle_out = *angle_mid = 0;
-      }
-      else if ( close1 )
-      {
-        *angle_in  = *angle_mid = FT_Atan2( d2.x, d2.y );
-        *angle_out = FT_Atan2( d3.x, d3.y );
-      }
-      else  /* close2 */
-      {
-        *angle_in  = FT_Atan2( d1.x, d1.y );
-        *angle_mid = *angle_out = FT_Atan2( d2.x, d2.y );
-      }
-    }
-    else if ( close2 )
-    {
-      *angle_in  = *angle_mid = FT_Atan2( d1.x, d1.y );
-      *angle_out = FT_Atan2( d3.x, d3.y );
-    }
-    else
-    {
-      *angle_in  = FT_Atan2( d1.x, d1.y );
-      *angle_mid = FT_Atan2( d2.x, d2.y );
-      *angle_out = FT_Atan2( d3.x, d3.y );
-    }
-
-    theta1 = ft_pos_abs( FT_Angle_Diff( *angle_in,  *angle_mid ) );
-    theta2 = ft_pos_abs( FT_Angle_Diff( *angle_mid, *angle_out ) );
-
-    return FT_BOOL( theta1 < FT_SMALL_CUBIC_THRESHOLD &&
-                    theta2 < FT_SMALL_CUBIC_THRESHOLD );
-  }
-
-
- /***************************************************************************/
- /***************************************************************************/
- /*****                                                                 *****/
- /*****                       STROKE BORDERS                            *****/
- /*****                                                                 *****/
- /***************************************************************************/
- /***************************************************************************/
-
-  typedef enum  FT_StrokeTags_
-  {
-    FT_STROKE_TAG_ON    = 1,   /* on-curve point  */
-    FT_STROKE_TAG_CUBIC = 2,   /* cubic off-point */
-    FT_STROKE_TAG_BEGIN = 4,   /* sub-path start  */
-    FT_STROKE_TAG_END   = 8    /* sub-path end    */
-
-  } FT_StrokeTags;
-
-#define  FT_STROKE_TAG_BEGIN_END  (FT_STROKE_TAG_BEGIN|FT_STROKE_TAG_END)
-
-  typedef struct  FT_StrokeBorderRec_
-  {
-    FT_UInt     num_points;
-    FT_UInt     max_points;
-    FT_Vector*  points;
-    FT_Byte*    tags;
-    FT_Bool     movable;
-    FT_Int      start;    /* index of current sub-path start point */
-    FT_Memory   memory;
-    FT_Bool     valid;
-
-  } FT_StrokeBorderRec, *FT_StrokeBorder;
-
-
-  static FT_Error
-  ft_stroke_border_grow( FT_StrokeBorder  border,
-                         FT_UInt          new_points )
-  {
-    FT_UInt   old_max = border->max_points;
-    FT_UInt   new_max = border->num_points + new_points;
-    FT_Error  error   = FT_Err_Ok;
-
-
-    if ( new_max > old_max )
-    {
-      FT_UInt    cur_max = old_max;
-      FT_Memory  memory  = border->memory;
-
-
-      while ( cur_max < new_max )
-        cur_max += ( cur_max >> 1 ) + 16;
-
-      if ( FT_RENEW_ARRAY( border->points, old_max, cur_max ) ||
-           FT_RENEW_ARRAY( border->tags,   old_max, cur_max ) )
-        goto Exit;
-
-      border->max_points = cur_max;
-    }
-
-  Exit:
-    return error;
-  }
-
-
-  static void
-  ft_stroke_border_close( FT_StrokeBorder  border,
-                          FT_Bool          reverse )
-  {
-    FT_UInt  start = border->start;
-    FT_UInt  count = border->num_points;
-
-
-    FT_ASSERT( border->start >= 0 );
-
-    /* don't record empty paths! */
-    if ( count <= start + 1U )
-      border->num_points = start;
-    else
-    {
-      /* copy the last point to the start of this sub-path, since */
-      /* it contains the `adjusted' starting coordinates          */
-      border->num_points    = --count;
-      border->points[start] = border->points[count];
-
-      if ( reverse )
-      {
-        /* reverse the points */
-        {
-          FT_Vector*  vec1 = border->points + start + 1;
-          FT_Vector*  vec2 = border->points + count - 1;
-
-
-          for ( ; vec1 < vec2; vec1++, vec2-- )
-          {
-            FT_Vector  tmp;
-
-
-            tmp   = *vec1;
-            *vec1 = *vec2;
-            *vec2 = tmp;
-          }
-        }
-
-        /* then the tags */
-        {
-          FT_Byte*  tag1 = border->tags + start + 1;
-          FT_Byte*  tag2 = border->tags + count - 1;
-
-
-          for ( ; tag1 < tag2; tag1++, tag2-- )
-          {
-            FT_Byte  tmp;
-
-
-            tmp   = *tag1;
-            *tag1 = *tag2;
-            *tag2 = tmp;
-          }
-        }
-      }
-
-      border->tags[start    ] |= FT_STROKE_TAG_BEGIN;
-      border->tags[count - 1] |= FT_STROKE_TAG_END;
-    }
-
-    border->start   = -1;
-    border->movable = FALSE;
-  }
-
-
-  static FT_Error
-  ft_stroke_border_lineto( FT_StrokeBorder  border,
-                           FT_Vector*       to,
-                           FT_Bool          movable )
-  {
-    FT_Error  error = FT_Err_Ok;
-
-
-    FT_ASSERT( border->start >= 0 );
-
-    if ( border->movable )
-    {
-      /* move last point */
-      border->points[border->num_points - 1] = *to;
-    }
-    else
-    {
-      /* add one point */
-      error = ft_stroke_border_grow( border, 1 );
-      if ( !error )
-      {
-        FT_Vector*  vec = border->points + border->num_points;
-        FT_Byte*    tag = border->tags   + border->num_points;
-
-
-        vec[0] = *to;
-        tag[0] = FT_STROKE_TAG_ON;
-
-        border->num_points += 1;
-      }
-    }
-    border->movable = movable;
-    return error;
-  }
-
-
-  static FT_Error
-  ft_stroke_border_conicto( FT_StrokeBorder  border,
-                            FT_Vector*       control,
-                            FT_Vector*       to )
-  {
-    FT_Error  error;
-
-
-    FT_ASSERT( border->start >= 0 );
-
-    error = ft_stroke_border_grow( border, 2 );
-    if ( !error )
-    {
-      FT_Vector*  vec = border->points + border->num_points;
-      FT_Byte*    tag = border->tags   + border->num_points;
-
-      vec[0] = *control;
-      vec[1] = *to;
-
-      tag[0] = 0;
-      tag[1] = FT_STROKE_TAG_ON;
-
-      border->num_points += 2;
-    }
-    border->movable = FALSE;
-    return error;
-  }
-
-
-  static FT_Error
-  ft_stroke_border_cubicto( FT_StrokeBorder  border,
-                            FT_Vector*       control1,
-                            FT_Vector*       control2,
-                            FT_Vector*       to )
-  {
-    FT_Error  error;
-
-
-    FT_ASSERT( border->start >= 0 );
-
-    error = ft_stroke_border_grow( border, 3 );
-    if ( !error )
-    {
-      FT_Vector*  vec = border->points + border->num_points;
-      FT_Byte*    tag = border->tags   + border->num_points;
-
-
-      vec[0] = *control1;
-      vec[1] = *control2;
-      vec[2] = *to;
-
-      tag[0] = FT_STROKE_TAG_CUBIC;
-      tag[1] = FT_STROKE_TAG_CUBIC;
-      tag[2] = FT_STROKE_TAG_ON;
-
-      border->num_points += 3;
-    }
-    border->movable = FALSE;
-    return error;
-  }
-
-
-#define FT_ARC_CUBIC_ANGLE  ( FT_ANGLE_PI / 2 )
-
-
-  static FT_Error
-  ft_stroke_border_arcto( FT_StrokeBorder  border,
-                          FT_Vector*       center,
-                          FT_Fixed         radius,
-                          FT_Angle         angle_start,
-                          FT_Angle         angle_diff )
-  {
-    FT_Angle   total, angle, step, rotate, next, theta;
-    FT_Vector  a, b, a2, b2;
-    FT_Fixed   length;
-    FT_Error   error = FT_Err_Ok;
-
-
-    /* compute start point */
-    FT_Vector_From_Polar( &a, radius, angle_start );
-    a.x += center->x;
-    a.y += center->y;
-
-    total  = angle_diff;
-    angle  = angle_start;
-    rotate = ( angle_diff >= 0 ) ? FT_ANGLE_PI2 : -FT_ANGLE_PI2;
-
-    while ( total != 0 )
-    {
-      step = total;
-      if ( step > FT_ARC_CUBIC_ANGLE )
-        step = FT_ARC_CUBIC_ANGLE;
-
-      else if ( step < -FT_ARC_CUBIC_ANGLE )
-        step = -FT_ARC_CUBIC_ANGLE;
-
-      next  = angle + step;
-      theta = step;
-      if ( theta < 0 )
-        theta = -theta;
-
-      theta >>= 1;
-
-      /* compute end point */
-      FT_Vector_From_Polar( &b, radius, next );
-      b.x += center->x;
-      b.y += center->y;
-
-      /* compute first and second control points */
-      length = FT_MulDiv( radius, FT_Sin( theta ) * 4,
-                          ( 0x10000L + FT_Cos( theta ) ) * 3 );
-
-      FT_Vector_From_Polar( &a2, length, angle + rotate );
-      a2.x += a.x;
-      a2.y += a.y;
-
-      FT_Vector_From_Polar( &b2, length, next - rotate );
-      b2.x += b.x;
-      b2.y += b.y;
-
-      /* add cubic arc */
-      error = ft_stroke_border_cubicto( border, &a2, &b2, &b );
-      if ( error )
-        break;
-
-      /* process the rest of the arc ?? */
-      a      = b;
-      total -= step;
-      angle  = next;
-    }
-
-    return error;
-  }
-
-
-  static FT_Error
-  ft_stroke_border_moveto( FT_StrokeBorder  border,
-                           FT_Vector*       to )
-  {
-    /* close current open path if any ? */
-    if ( border->start >= 0 )
-      ft_stroke_border_close( border, FALSE );
-
-    border->start   = border->num_points;
-    border->movable = FALSE;
-
-    return ft_stroke_border_lineto( border, to, FALSE );
-  }
-
-
-  static void
-  ft_stroke_border_init( FT_StrokeBorder  border,
-                         FT_Memory        memory )
-  {
-    border->memory = memory;
-    border->points = NULL;
-    border->tags   = NULL;
-
-    border->num_points = 0;
-    border->max_points = 0;
-    border->start      = -1;
-    border->valid      = FALSE;
-  }
-
-
-  static void
-  ft_stroke_border_reset( FT_StrokeBorder  border )
-  {
-    border->num_points = 0;
-    border->start      = -1;
-    border->valid      = FALSE;
-  }
-
-
-  static void
-  ft_stroke_border_done( FT_StrokeBorder  border )
-  {
-    FT_Memory  memory = border->memory;
-
-
-    FT_FREE( border->points );
-    FT_FREE( border->tags );
-
-    border->num_points = 0;
-    border->max_points = 0;
-    border->start      = -1;
-    border->valid      = FALSE;
-  }
-
-
-  static FT_Error
-  ft_stroke_border_get_counts( FT_StrokeBorder  border,
-                               FT_UInt         *anum_points,
-                               FT_UInt         *anum_contours )
-  {
-    FT_Error  error        = FT_Err_Ok;
-    FT_UInt   num_points   = 0;
-    FT_UInt   num_contours = 0;
-
-    FT_UInt     count      = border->num_points;
-    FT_Vector*  point      = border->points;
-    FT_Byte*    tags       = border->tags;
-    FT_Int      in_contour = 0;
-
-
-    for ( ; count > 0; count--, num_points++, point++, tags++ )
-    {
-      if ( tags[0] & FT_STROKE_TAG_BEGIN )
-      {
-        if ( in_contour != 0 )
-          goto Fail;
-
-        in_contour = 1;
-      }
-      else if ( in_contour == 0 )
-        goto Fail;
-
-      if ( tags[0] & FT_STROKE_TAG_END )
-      {
-        in_contour = 0;
-        num_contours++;
-      }
-    }
-
-    if ( in_contour != 0 )
-      goto Fail;
-
-    border->valid = TRUE;
-
-  Exit:
-    *anum_points   = num_points;
-    *anum_contours = num_contours;
-    return error;
-
-  Fail:
-    num_points   = 0;
-    num_contours = 0;
-    goto Exit;
-  }
-
-
-  static void
-  ft_stroke_border_export( FT_StrokeBorder  border,
-                           FT_Outline*      outline )
-  {
-    /* copy point locations */
-    FT_ARRAY_COPY( outline->points + outline->n_points,
-                   border->points,
-                   border->num_points );
-
-    /* copy tags */
-    {
-      FT_UInt   count = border->num_points;
-      FT_Byte*  read  = border->tags;
-      FT_Byte*  write = (FT_Byte*)outline->tags + outline->n_points;
-
-
-      for ( ; count > 0; count--, read++, write++ )
-      {
-        if ( *read & FT_STROKE_TAG_ON )
-          *write = FT_CURVE_TAG_ON;
-        else if ( *read & FT_STROKE_TAG_CUBIC )
-          *write = FT_CURVE_TAG_CUBIC;
-        else
-          *write = FT_CURVE_TAG_CONIC;
-      }
-    }
-
-    /* copy contours */
-    {
-      FT_UInt    count = border->num_points;
-      FT_Byte*   tags  = border->tags;
-      FT_Short*  write = outline->contours + outline->n_contours;
-      FT_Short   idx   = (FT_Short)outline->n_points;
-
-
-      for ( ; count > 0; count--, tags++, idx++ )
-      {
-        if ( *tags & FT_STROKE_TAG_END )
-        {
-          *write++ = idx;
-          outline->n_contours++;
-        }
-      }
-    }
-
-    outline->n_points  = (short)( outline->n_points + border->num_points );
-
-    FT_ASSERT( FT_Outline_Check( outline ) == 0 );
-  }
-
-
- /***************************************************************************/
- /***************************************************************************/
- /*****                                                                 *****/
- /*****                           STROKER                               *****/
- /*****                                                                 *****/
- /***************************************************************************/
- /***************************************************************************/
-
-#define FT_SIDE_TO_ROTATE( s )   ( FT_ANGLE_PI2 - (s) * FT_ANGLE_PI )
-
-  typedef struct  FT_StrokerRec_
-  {
-    FT_Angle             angle_in;
-    FT_Angle             angle_out;
-    FT_Vector            center;
-    FT_Bool              first_point;
-    FT_Bool              subpath_open;
-    FT_Angle             subpath_angle;
-    FT_Vector            subpath_start;
-
-    FT_Stroker_LineCap   line_cap;
-    FT_Stroker_LineJoin  line_join;
-    FT_Fixed             miter_limit;
-    FT_Fixed             radius;
-
-    FT_StrokeBorderRec   borders[2];
-    FT_Library           library;
-
-  } FT_StrokerRec;
-
-
-  /* documentation is in ftstroke.h */
-
-  FT_EXPORT_DEF( FT_Error )
-  FT_Stroker_New( FT_Library   library,
-                  FT_Stroker  *astroker )
-  {
-    FT_Error    error;
-    FT_Memory   memory;
-    FT_Stroker  stroker;
-
-
-    if ( !library )
-      return FT_Err_Invalid_Argument;
-
-    memory = library->memory;
-
-    if ( !FT_NEW( stroker ) )
-    {
-      stroker->library = library;
-
-      ft_stroke_border_init( &stroker->borders[0], memory );
-      ft_stroke_border_init( &stroker->borders[1], memory );
-    }
-    *astroker = stroker;
-    return error;
-  }
-
-
-  /* documentation is in ftstroke.h */
-
-  FT_EXPORT_DEF( void )
-  FT_Stroker_Set( FT_Stroker           stroker,
-                  FT_Fixed             radius,
-                  FT_Stroker_LineCap   line_cap,
-                  FT_Stroker_LineJoin  line_join,
-                  FT_Fixed             miter_limit )
-  {
-    stroker->radius      = radius;
-    stroker->line_cap    = line_cap;
-    stroker->line_join   = line_join;
-    stroker->miter_limit = miter_limit;
-
-    FT_Stroker_Rewind( stroker );
-  }
-
-
-  /* documentation is in ftstroke.h */
-
-  FT_EXPORT_DEF( void )
-  FT_Stroker_Rewind( FT_Stroker  stroker )
-  {
-    if ( stroker )
-    {
-      ft_stroke_border_reset( &stroker->borders[0] );
-      ft_stroke_border_reset( &stroker->borders[1] );
-    }
-  }
-
-
-  /* documentation is in ftstroke.h */
-
-  FT_EXPORT_DEF( void )
-  FT_Stroker_Done( FT_Stroker  stroker )
-  {
-    if ( stroker )
-    {
-      FT_Memory  memory = stroker->library->memory;
-
-
-      ft_stroke_border_done( &stroker->borders[0] );
-      ft_stroke_border_done( &stroker->borders[1] );
-
-      stroker->library = NULL;
-      FT_FREE( stroker );
-    }
-  }
-
-
-  /* creates a circular arc at a corner or cap */
-  static FT_Error
-  ft_stroker_arcto( FT_Stroker  stroker,
-                    FT_Int      side )
-  {
-    FT_Angle         total, rotate;
-    FT_Fixed         radius = stroker->radius;
-    FT_Error         error  = FT_Err_Ok;
-    FT_StrokeBorder  border = stroker->borders + side;
-
-
-    rotate = FT_SIDE_TO_ROTATE( side );
-
-    total = FT_Angle_Diff( stroker->angle_in, stroker->angle_out );
-    if ( total == FT_ANGLE_PI )
-      total = -rotate * 2;
-
-    error = ft_stroke_border_arcto( border,
-                                    &stroker->center,
-                                    radius,
-                                    stroker->angle_in + rotate,
-                                    total );
-    border->movable = FALSE;
-    return error;
-  }
-
-
-  /* adds a cap at the end of an opened path */
-  static FT_Error
-  ft_stroker_cap( FT_Stroker  stroker,
-                  FT_Angle    angle,
-                  FT_Int      side )
-  {
-    FT_Error  error = FT_Err_Ok;
-
-
-    if ( stroker->line_cap == FT_STROKER_LINECAP_ROUND )
-    {
-      /* add a round cap */
-      stroker->angle_in  = angle;
-      stroker->angle_out = angle + FT_ANGLE_PI;
-      error = ft_stroker_arcto( stroker, side );
-    }
-    else if ( stroker->line_cap == FT_STROKER_LINECAP_SQUARE )
-    {
-      /* add a square cap */
-      FT_Vector        delta, delta2;
-      FT_Angle         rotate = FT_SIDE_TO_ROTATE( side );
-      FT_Fixed         radius = stroker->radius;
-      FT_StrokeBorder  border = stroker->borders + side;
-
-
-      FT_Vector_From_Polar( &delta2, radius, angle + rotate );
-      FT_Vector_From_Polar( &delta,  radius, angle );
-
-      delta.x += stroker->center.x + delta2.x;
-      delta.y += stroker->center.y + delta2.y;
-
-      error = ft_stroke_border_lineto( border, &delta, FALSE );
-      if ( error )
-        goto Exit;
-
-      FT_Vector_From_Polar( &delta2, radius, angle - rotate );
-      FT_Vector_From_Polar( &delta,  radius, angle );
-
-      delta.x += delta2.x + stroker->center.x;
-      delta.y += delta2.y + stroker->center.y;
-
-      error = ft_stroke_border_lineto( border, &delta, FALSE );
-    }
-    else if ( stroker->line_cap == FT_STROKER_LINECAP_BUTT )
-    {
-      /* add a butt ending */
-      FT_Vector        delta;
-      FT_Angle         rotate = FT_SIDE_TO_ROTATE( side );
-      FT_Fixed         radius = stroker->radius;
-      FT_StrokeBorder  border = stroker->borders + side;
-
-
-      FT_Vector_From_Polar( &delta, radius, angle + rotate );
-
-      delta.x += stroker->center.x;
-      delta.y += stroker->center.y;
-
-      error = ft_stroke_border_lineto( border, &delta, FALSE );
-      if ( error )
-        goto Exit;
-
-      FT_Vector_From_Polar( &delta, radius, angle - rotate );
-
-      delta.x += stroker->center.x;
-      delta.y += stroker->center.y;
-
-      error = ft_stroke_border_lineto( border, &delta, FALSE );   
-    }
-
-  Exit:
-    return error;
-  }
-
-
-  /* process an inside corner, i.e. compute intersection */
-  static FT_Error
-  ft_stroker_inside( FT_Stroker  stroker,
-                     FT_Int      side)
-  {
-    FT_StrokeBorder  border = stroker->borders + side;
-    FT_Angle         phi, theta, rotate;
-    FT_Fixed         length, thcos, sigma;
-    FT_Vector        delta;
-    FT_Error         error = FT_Err_Ok;
-
-
-    rotate = FT_SIDE_TO_ROTATE( side );
-
-    /* compute median angle */
-    theta = FT_Angle_Diff( stroker->angle_in, stroker->angle_out );
-    if ( theta == FT_ANGLE_PI )
-      theta = rotate;
-    else
-      theta = theta / 2;
-
-    phi = stroker->angle_in + theta;
-
-    thcos = FT_Cos( theta );
-    sigma = FT_MulFix( stroker->miter_limit, thcos );
-
-    /* TODO: find better criterion to switch off the optimization */
-    if ( sigma < 0x10000L )
-    {
-      FT_Vector_From_Polar( &delta, stroker->radius,
-                            stroker->angle_out + rotate );
-      delta.x += stroker->center.x;
-      delta.y += stroker->center.y;
-      border->movable = FALSE;
-    }
-    else
-    {
-      length = FT_DivFix( stroker->radius, thcos );
-
-      FT_Vector_From_Polar( &delta, length, phi + rotate );
-      delta.x += stroker->center.x;
-      delta.y += stroker->center.y;
-    }
-
-    error = ft_stroke_border_lineto( border, &delta, FALSE );
-
-    return error;
-  }
-
-
-  /* process an outside corner, i.e. compute bevel/miter/round */
-  static FT_Error
-  ft_stroker_outside( FT_Stroker  stroker,
-                      FT_Int      side )
-  {
-    FT_StrokeBorder  border = stroker->borders + side;
-    FT_Error         error;
-    FT_Angle         rotate;
-
-
-    if ( stroker->line_join == FT_STROKER_LINEJOIN_ROUND )
-      error = ft_stroker_arcto( stroker, side );
-    else
-    {
-      /* this is a mitered or beveled corner */
-      FT_Fixed  sigma, radius = stroker->radius;
-      FT_Angle  theta, phi;
-      FT_Fixed  thcos;
-      FT_Bool   miter;
-
-
-      rotate = FT_SIDE_TO_ROTATE( side );
-      miter  = FT_BOOL( stroker->line_join == FT_STROKER_LINEJOIN_MITER );
-
-      theta = FT_Angle_Diff( stroker->angle_in, stroker->angle_out );
-      if ( theta == FT_ANGLE_PI )
-      {
-        theta = rotate;
-        phi   = stroker->angle_in;
-      }
-      else
-      {
-        theta = theta / 2;
-        phi   = stroker->angle_in + theta + rotate;
-      }
-
-      thcos = FT_Cos( theta );
-      sigma = FT_MulFix( stroker->miter_limit, thcos );
-
-      /* FT_Sin(x) = 0 for x <= 57 */
-      if ( sigma >= 0x10000L || ft_pos_abs( theta ) <= 57 )
-        miter = FALSE;
-
-      if ( miter )  /* this is a miter (broken angle) */
-      {
-        FT_Vector  middle, delta;
-        FT_Fixed   length;
-
-
-        /* compute middle point */
-        FT_Vector_From_Polar( &middle,
-                              FT_MulFix( radius, stroker->miter_limit ),
-                              phi );
-        middle.x += stroker->center.x;
-        middle.y += stroker->center.y;
-
-        /* compute first angle point */
-        length = FT_MulFix( radius,
-                            FT_DivFix( 0x10000L - sigma,
-                                       ft_pos_abs( FT_Sin( theta ) ) ) );
-
-        FT_Vector_From_Polar( &delta, length, phi + rotate );
-        delta.x += middle.x;
-        delta.y += middle.y;
-
-        error = ft_stroke_border_lineto( border, &delta, FALSE );
-        if ( error )
-          goto Exit;
-
-        /* compute second angle point */
-        FT_Vector_From_Polar( &delta, length, phi - rotate );
-        delta.x += middle.x;
-        delta.y += middle.y;
-
-        error = ft_stroke_border_lineto( border, &delta, FALSE );
-        if ( error )
-          goto Exit;
-
-        /* finally, add a movable end point */
-        FT_Vector_From_Polar( &delta, radius, stroker->angle_out + rotate );
-        delta.x += stroker->center.x;
-        delta.y += stroker->center.y;
-
-        error = ft_stroke_border_lineto( border, &delta, TRUE );
-      }
-
-      else /* this is a bevel (intersection) */
-      {
-        FT_Fixed   length;
-        FT_Vector  delta;
-
-
-        length = FT_DivFix( stroker->radius, thcos );
-
-        FT_Vector_From_Polar( &delta, length, phi );
-        delta.x += stroker->center.x;
-        delta.y += stroker->center.y;
-
-        error = ft_stroke_border_lineto( border, &delta, FALSE );
-        if ( error )
-          goto Exit;
-
-        /* now add end point */
-        FT_Vector_From_Polar( &delta, stroker->radius,
-                              stroker->angle_out + rotate );
-        delta.x += stroker->center.x;
-        delta.y += stroker->center.y;
-
-        error = ft_stroke_border_lineto( border, &delta, TRUE );
-      }
-    }
-
-  Exit:
-    return error;
-  }
-
-
-  static FT_Error
-  ft_stroker_process_corner( FT_Stroker  stroker )
-  {
-    FT_Error  error = FT_Err_Ok;
-    FT_Angle  turn;
-    FT_Int    inside_side;
-
-
-    turn = FT_Angle_Diff( stroker->angle_in, stroker->angle_out );
-
-    /* no specific corner processing is required if the turn is 0 */
-    if ( turn == 0 )
-      goto Exit;
-
-    /* when we turn to the right, the inside side is 0 */
-    inside_side = 0;
-
-    /* otherwise, the inside side is 1 */
-    if ( turn < 0 )
-      inside_side = 1;
-
-    /* process the inside side */
-    error = ft_stroker_inside( stroker, inside_side );
-    if ( error )
-      goto Exit;
-
-    /* process the outside side */
-    error = ft_stroker_outside( stroker, 1 - inside_side );
-
-  Exit:
-    return error;
-  }
-
-
-  /* add two points to the left and right borders corresponding to the */
-  /* start of the subpath                                              */
-  static FT_Error
-  ft_stroker_subpath_start( FT_Stroker  stroker,
-                            FT_Angle    start_angle )
-  {
-    FT_Vector        delta;
-    FT_Vector        point;
-    FT_Error         error;
-    FT_StrokeBorder  border;
-
-
-    FT_Vector_From_Polar( &delta, stroker->radius,
-                          start_angle + FT_ANGLE_PI2 );
-
-    point.x = stroker->center.x + delta.x;
-    point.y = stroker->center.y + delta.y;
-
-    border = stroker->borders;
-    error = ft_stroke_border_moveto( border, &point );
-    if ( error )
-      goto Exit;
-
-    point.x = stroker->center.x - delta.x;
-    point.y = stroker->center.y - delta.y;
-
-    border++;
-    error = ft_stroke_border_moveto( border, &point );
-
-    /* save angle for last cap */
-    stroker->subpath_angle = start_angle;
-    stroker->first_point   = FALSE;
-
-  Exit:
-    return error;
-  }
-
-
-  /* documentation is in ftstroke.h */
-
-  FT_EXPORT_DEF( FT_Error )
-  FT_Stroker_LineTo( FT_Stroker  stroker,
-                     FT_Vector*  to )
-  {
-    FT_Error         error = FT_Err_Ok;
-    FT_StrokeBorder  border;
-    FT_Vector        delta;
-    FT_Angle         angle;
-    FT_Int           side;
-
-    delta.x = to->x - stroker->center.x;
-    delta.y = to->y - stroker->center.y;
-
-    angle = FT_Atan2( delta.x, delta.y );
-    FT_Vector_From_Polar( &delta, stroker->radius, angle + FT_ANGLE_PI2 );
-
-    /* process corner if necessary */
-    if ( stroker->first_point )
-    {
-      /* This is the first segment of a subpath.  We need to     */
-      /* add a point to each border at their respective starting */
-      /* point locations.                                        */
-      error = ft_stroker_subpath_start( stroker, angle );
-      if ( error )
-        goto Exit;
-    }
-    else
-    {
-      /* process the current corner */
-      stroker->angle_out = angle;
-      error = ft_stroker_process_corner( stroker );
-      if ( error )
-        goto Exit;
-    }
-
-    /* now add a line segment to both the `inside' and `outside' paths */
-
-    for ( border = stroker->borders, side = 1; side >= 0; side--, border++ )
-    {
-      FT_Vector  point;
-
-
-      point.x = to->x + delta.x;
-      point.y = to->y + delta.y;
-
-      error = ft_stroke_border_lineto( border, &point, TRUE );
-      if ( error )
-        goto Exit;
-
-      delta.x = -delta.x;
-      delta.y = -delta.y;
-    }
-
-    stroker->angle_in = angle;
-    stroker->center   = *to;
-
-  Exit:
-    return error;
-  }
-
-
-  /* documentation is in ftstroke.h */
-
-  FT_EXPORT_DEF( FT_Error )
-  FT_Stroker_ConicTo( FT_Stroker  stroker,
-                      FT_Vector*  control,
-                      FT_Vector*  to )
-  {
-    FT_Error    error = FT_Err_Ok;
-    FT_Vector   bez_stack[34];
-    FT_Vector*  arc;
-    FT_Vector*  limit = bez_stack + 30;
-    FT_Angle    start_angle;
-    FT_Bool     first_arc = TRUE;
-
-
-    arc    = bez_stack;
-    arc[0] = *to;
-    arc[1] = *control;
-    arc[2] = stroker->center;
-
-    while ( arc >= bez_stack )
-    {
-      FT_Angle  angle_in, angle_out;
-
-
-      angle_in = angle_out = 0;  /* remove compiler warnings */
-
-      if ( arc < limit                                             &&
-           !ft_conic_is_small_enough( arc, &angle_in, &angle_out ) )
-      {
-        ft_conic_split( arc );
-        arc += 2;
-        continue;
-      }
-
-      if ( first_arc )
-      {
-        first_arc = FALSE;
-
-        start_angle = angle_in;
-
-        /* process corner if necessary */
-        if ( stroker->first_point )
-          error = ft_stroker_subpath_start( stroker, start_angle );
-        else
-        {
-          stroker->angle_out = start_angle;
-          error = ft_stroker_process_corner( stroker );
-        }
-      }
-
-      /* the arc's angle is small enough; we can add it directly to each */
-      /* border                                                          */
-      {
-        FT_Vector  ctrl, end;
-        FT_Angle   theta, phi, rotate;
-        FT_Fixed   length;
-        FT_Int     side;
-
-
-        theta  = FT_Angle_Diff( angle_in, angle_out ) / 2;
-        phi    = angle_in + theta;
-        length = FT_DivFix( stroker->radius, FT_Cos( theta ) );
-
-        for ( side = 0; side <= 1; side++ )
-        {
-          rotate = FT_SIDE_TO_ROTATE( side );
-
-          /* compute control point */
-          FT_Vector_From_Polar( &ctrl, length, phi + rotate );
-          ctrl.x += arc[1].x;
-          ctrl.y += arc[1].y;
-
-          /* compute end point */
-          FT_Vector_From_Polar( &end, stroker->radius, angle_out + rotate );
-          end.x += arc[0].x;
-          end.y += arc[0].y;
-
-          error = ft_stroke_border_conicto( stroker->borders + side,
-                                            &ctrl, &end );
-          if ( error )
-            goto Exit;
-        }
-      }
-
-      arc -= 2;
-
-      if ( arc < bez_stack )
-        stroker->angle_in = angle_out;
-    }
-
-    stroker->center = *to;
-
-  Exit:
-    return error;
-  }
-
-
-  /* documentation is in ftstroke.h */
-
-  FT_EXPORT_DEF( FT_Error )
-  FT_Stroker_CubicTo( FT_Stroker  stroker,
-                      FT_Vector*  control1,
-                      FT_Vector*  control2,
-                      FT_Vector*  to )
-  {
-    FT_Error    error = FT_Err_Ok;
-    FT_Vector   bez_stack[37];
-    FT_Vector*  arc;
-    FT_Vector*  limit = bez_stack + 32;
-    FT_Angle    start_angle;
-    FT_Bool     first_arc = TRUE;
-
-
-    arc    = bez_stack;
-    arc[0] = *to;
-    arc[1] = *control2;
-    arc[2] = *control1;
-    arc[3] = stroker->center;
-
-    while ( arc >= bez_stack )
-    {
-      FT_Angle  angle_in, angle_mid, angle_out;
-
-
-      /* remove compiler warnings */
-      angle_in = angle_out = angle_mid = 0;
-
-      if ( arc < limit                                         &&
-           !ft_cubic_is_small_enough( arc, &angle_in,
-                                      &angle_mid, &angle_out ) )
-      {
-        ft_cubic_split( arc );
-        arc += 3;
-        continue;
-      }
-
-      if ( first_arc )
-      {
-        first_arc = FALSE;
-
-        /* process corner if necessary */
-        start_angle = angle_in;
-
-        if ( stroker->first_point )
-          error = ft_stroker_subpath_start( stroker, start_angle );
-        else
-        {
-          stroker->angle_out = start_angle;
-          error = ft_stroker_process_corner( stroker );
-        }
-        if ( error )
-          goto Exit;
-      }
-
-      /* the arc's angle is small enough; we can add it directly to each */
-      /* border                                                          */
-      {
-        FT_Vector  ctrl1, ctrl2, end;
-        FT_Angle   theta1, phi1, theta2, phi2, rotate;
-        FT_Fixed   length1, length2;
-        FT_Int     side;
-
-
-        theta1  = ft_pos_abs( angle_mid - angle_in ) / 2;
-        theta2  = ft_pos_abs( angle_out - angle_mid ) / 2;
-        phi1    = (angle_mid + angle_in ) / 2;
-        phi2    = (angle_mid + angle_out ) / 2;
-        length1 = FT_DivFix( stroker->radius, FT_Cos( theta1 ) );
-        length2 = FT_DivFix( stroker->radius, FT_Cos( theta2 ) );
-
-        for ( side = 0; side <= 1; side++ )
-        {
-          rotate = FT_SIDE_TO_ROTATE( side );
-
-          /* compute control points */
-          FT_Vector_From_Polar( &ctrl1, length1, phi1 + rotate );
-          ctrl1.x += arc[2].x;
-          ctrl1.y += arc[2].y;
-
-          FT_Vector_From_Polar( &ctrl2, length2, phi2 + rotate );
-          ctrl2.x += arc[1].x;
-          ctrl2.y += arc[1].y;
-
-          /* compute end point */
-          FT_Vector_From_Polar( &end, stroker->radius, angle_out + rotate );
-          end.x += arc[0].x;
-          end.y += arc[0].y;
-
-          error = ft_stroke_border_cubicto( stroker->borders + side,
-                                            &ctrl1, &ctrl2, &end );
-          if ( error )
-            goto Exit;
-        }
-      }
-
-      arc -= 3;
-      if ( arc < bez_stack )
-        stroker->angle_in = angle_out;
-    }
-
-    stroker->center = *to;
-
-  Exit:
-    return error;
-  }
-
-
-  /* documentation is in ftstroke.h */
-
-  FT_EXPORT_DEF( FT_Error )
-  FT_Stroker_BeginSubPath( FT_Stroker  stroker,
-                           FT_Vector*  to,
-                           FT_Bool     open )
-  {
-    /* We cannot process the first point, because there is not enough      */
-    /* information regarding its corner/cap.  The latter will be processed */
-    /* in the `FT_Stroker_EndSubPath' routine.                             */
-    /*                                                                     */
-    stroker->first_point  = TRUE;
-    stroker->center       = *to;
-    stroker->subpath_open = open;
-
-    /* record the subpath start point for each border */
-    stroker->subpath_start = *to;
-
-    return FT_Err_Ok;
-  }
-
-
-  static FT_Error
-  ft_stroker_add_reverse_left( FT_Stroker  stroker,
-                               FT_Bool     open )
-  {
-    FT_StrokeBorder  right = stroker->borders + 0;
-    FT_StrokeBorder  left  = stroker->borders + 1;
-    FT_Int           new_points;
-    FT_Error         error = FT_Err_Ok;
-
-
-    FT_ASSERT( left->start >= 0 );
-
-    new_points = left->num_points - left->start;
-    if ( new_points > 0 )
-    {
-      error = ft_stroke_border_grow( right, (FT_UInt)new_points );
-      if ( error )
-        goto Exit;
-
-      {
-        FT_Vector*  dst_point = right->points + right->num_points;
-        FT_Byte*    dst_tag   = right->tags   + right->num_points;
-        FT_Vector*  src_point = left->points  + left->num_points - 1;
-        FT_Byte*    src_tag   = left->tags    + left->num_points - 1;
-
-        while ( src_point >= left->points + left->start )
-        {
-          *dst_point = *src_point;
-          *dst_tag   = *src_tag;
-
-          if ( open )
-            dst_tag[0] &= ~FT_STROKE_TAG_BEGIN_END;
-          else
-          {
-            FT_Byte  ttag = (FT_Byte)( dst_tag[0] & FT_STROKE_TAG_BEGIN_END );
-
-
-            /* switch begin/end tags if necessary */
-            if ( ttag == FT_STROKE_TAG_BEGIN ||
-                 ttag == FT_STROKE_TAG_END   )
-              dst_tag[0] ^= FT_STROKE_TAG_BEGIN_END;
-
-          }
-
-          src_point--;
-          src_tag--;
-          dst_point++;
-          dst_tag++;
-        }
-      }
-
-      left->num_points   = left->start;
-      right->num_points += new_points;
-
-      right->movable = FALSE;
-      left->movable  = FALSE;
-    }
-
-  Exit:
-    return error;
-  }
-
-
-  /* documentation is in ftstroke.h */
-
-  /* there's a lot of magic in this function! */
-  FT_EXPORT_DEF( FT_Error )
-  FT_Stroker_EndSubPath( FT_Stroker  stroker )
-  {
-    FT_Error  error = FT_Err_Ok;
-
-
-    if ( stroker->subpath_open )
-    {
-      FT_StrokeBorder  right = stroker->borders;
-
-      /* All right, this is an opened path, we need to add a cap between */
-      /* right & left, add the reverse of left, then add a final cap     */
-      /* between left & right.                                           */
-      error = ft_stroker_cap( stroker, stroker->angle_in, 0 );
-      if ( error )
-        goto Exit;
-
-      /* add reversed points from `left' to `right' */
-      error = ft_stroker_add_reverse_left( stroker, TRUE );
-      if ( error )
-        goto Exit;
-
-      /* now add the final cap */
-      stroker->center = stroker->subpath_start;
-      error = ft_stroker_cap( stroker,
-                              stroker->subpath_angle + FT_ANGLE_PI, 0 );
-      if ( error )
-        goto Exit;
-
-      /* Now end the right subpath accordingly.  The left one is */
-      /* rewind and doesn't need further processing.             */
-      ft_stroke_border_close( right, FALSE );
-    }
-    else
-    {
-      FT_Angle  turn;
-      FT_Int    inside_side;
-
-      /* close the path if needed */
-      if ( stroker->center.x != stroker->subpath_start.x ||
-           stroker->center.y != stroker->subpath_start.y )
-      {
-        error = FT_Stroker_LineTo( stroker, &stroker->subpath_start );
-        if ( error )
-          goto Exit;
-      }
-
-      /* process the corner */
-      stroker->angle_out = stroker->subpath_angle;
-      turn               = FT_Angle_Diff( stroker->angle_in,
-                                          stroker->angle_out );
-
-      /* no specific corner processing is required if the turn is 0 */
-      if ( turn != 0 )
-      {
-        /* when we turn to the right, the inside side is 0 */
-        inside_side = 0;
-
-        /* otherwise, the inside side is 1 */
-        if ( turn < 0 )
-          inside_side = 1;
-
-        error = ft_stroker_inside( stroker, inside_side );
-        if ( error )
-          goto Exit;
-
-        /* process the outside side */
-        error = ft_stroker_outside( stroker, 1 - inside_side );
-        if ( error )
-          goto Exit;
-      }
-
-      /* then end our two subpaths */
-      ft_stroke_border_close( stroker->borders + 0, TRUE );
-      ft_stroke_border_close( stroker->borders + 1, FALSE );
-    }
-
-  Exit:
-    return error;
-  }
-
-
-  /* documentation is in ftstroke.h */
-
-  FT_EXPORT_DEF( FT_Error )
-  FT_Stroker_GetBorderCounts( FT_Stroker        stroker,
-                              FT_StrokerBorder  border,
-                              FT_UInt          *anum_points,
-                              FT_UInt          *anum_contours )
-  {
-    FT_UInt   num_points = 0, num_contours = 0;
-    FT_Error  error;
-
-
-    if ( !stroker || border > 1 )
-    {
-      error = FT_Err_Invalid_Argument;
-      goto Exit;
-    }
-
-    error = ft_stroke_border_get_counts( stroker->borders + border,
-                                         &num_points, &num_contours );
-  Exit:
-    if ( anum_points )
-      *anum_points = num_points;
-
-    if ( anum_contours )
-      *anum_contours = num_contours;
-
-    return error;
-  }
-
-
-  /* documentation is in ftstroke.h */
-
-  FT_EXPORT_DEF( FT_Error )
-  FT_Stroker_GetCounts( FT_Stroker  stroker,
-                        FT_UInt    *anum_points,
-                        FT_UInt    *anum_contours )
-  {
-    FT_UInt   count1, count2, num_points   = 0;
-    FT_UInt   count3, count4, num_contours = 0;
-    FT_Error  error;
-
-
-    error = ft_stroke_border_get_counts( stroker->borders + 0,
-                                         &count1, &count2 );
-    if ( error )
-      goto Exit;
-
-    error = ft_stroke_border_get_counts( stroker->borders + 1,
-                                         &count3, &count4 );
-    if ( error )
-      goto Exit;
-
-    num_points   = count1 + count3;
-    num_contours = count2 + count4;
-
-  Exit:
-    *anum_points   = num_points;
-    *anum_contours = num_contours;
-    return error;
-  }
-
-
-  /* documentation is in ftstroke.h */
-
-  FT_EXPORT_DEF( void )
-  FT_Stroker_ExportBorder( FT_Stroker        stroker,
-                           FT_StrokerBorder  border,
-                           FT_Outline*       outline )
-  {
-    if ( border == FT_STROKER_BORDER_LEFT  ||
-         border == FT_STROKER_BORDER_RIGHT )
-    {
-      FT_StrokeBorder  sborder = & stroker->borders[border];
-
-
-      if ( sborder->valid )
-        ft_stroke_border_export( sborder, outline );
-    }
-  }
-
-
-  /* documentation is in ftstroke.h */
-
-  FT_EXPORT_DEF( void )
-  FT_Stroker_Export( FT_Stroker   stroker,
-                     FT_Outline*  outline )
-  {
-    FT_Stroker_ExportBorder( stroker, FT_STROKER_BORDER_LEFT, outline );
-    FT_Stroker_ExportBorder( stroker, FT_STROKER_BORDER_RIGHT, outline );
-  }
-
-
-  /* documentation is in ftstroke.h */
-
-  /*
-   *  The following is very similar to FT_Outline_Decompose, except
-   *  that we do support opened paths, and do not scale the outline.
-   */
-  FT_EXPORT_DEF( FT_Error )
-  FT_Stroker_ParseOutline( FT_Stroker   stroker,
-                           FT_Outline*  outline,
-                           FT_Bool      opened )
-  {
-    FT_Vector   v_last;
-    FT_Vector   v_control;
-    FT_Vector   v_start;
-
-    FT_Vector*  point;
-    FT_Vector*  limit;
-    char*       tags;
-
-    FT_Error    error;
-
-    FT_Int   n;         /* index of contour in outline     */
-    FT_UInt  first;     /* index of first point in contour */
-    FT_Int   tag;       /* current point's state           */
-
-
-    if ( !outline || !stroker )
-      return FT_Err_Invalid_Argument;
-
-    FT_Stroker_Rewind( stroker );
-
-    first = 0;
-
-    for ( n = 0; n < outline->n_contours; n++ )
-    {
-      FT_UInt  last;  /* index of last point in contour */
-
-
-      last  = outline->contours[n];
-      limit = outline->points + last;
-
-      /* skip empty points; we don't stroke these */
-      if ( last <= first )
-      {
-        first = last + 1;
-        continue;
-      }
-
-      v_start = outline->points[first];
-      v_last  = outline->points[last];
-
-      v_control = v_start;
-
-      point = outline->points + first;
-      tags  = outline->tags   + first;
-      tag   = FT_CURVE_TAG( tags[0] );
-
-      /* A contour cannot start with a cubic control point! */
-      if ( tag == FT_CURVE_TAG_CUBIC )
-        goto Invalid_Outline;
-
-      /* check first point to determine origin */
-      if ( tag == FT_CURVE_TAG_CONIC )
-      {
-        /* First point is conic control.  Yes, this happens. */
-        if ( FT_CURVE_TAG( outline->tags[last] ) == FT_CURVE_TAG_ON )
-        {
-          /* start at last point if it is on the curve */
-          v_start = v_last;
-          limit--;
-        }
-        else
-        {
-          /* if both first and last points are conic, */
-          /* start at their middle                    */
-          v_start.x = ( v_start.x + v_last.x ) / 2;
-          v_start.y = ( v_start.y + v_last.y ) / 2;
-        }
-        point--;
-        tags--;
-      }
-
-      error = FT_Stroker_BeginSubPath( stroker, &v_start, opened );
-      if ( error )
-        goto Exit;
-
-      while ( point < limit )
-      {
-        point++;
-        tags++;
-
-        tag = FT_CURVE_TAG( tags[0] );
-        switch ( tag )
-        {
-        case FT_CURVE_TAG_ON:  /* emit a single line_to */
-          {
-            FT_Vector  vec;
-
-
-            vec.x = point->x;
-            vec.y = point->y;
-
-            error = FT_Stroker_LineTo( stroker, &vec );
-            if ( error )
-              goto Exit;
-            continue;
-          }
-
-        case FT_CURVE_TAG_CONIC:  /* consume conic arcs */
-          v_control.x = point->x;
-          v_control.y = point->y;
-
-        Do_Conic:
-          if ( point < limit )
-          {
-            FT_Vector  vec;
-            FT_Vector  v_middle;
-
-
-            point++;
-            tags++;
-            tag = FT_CURVE_TAG( tags[0] );
-
-            vec = point[0];
-
-            if ( tag == FT_CURVE_TAG_ON )
-            {
-              error = FT_Stroker_ConicTo( stroker, &v_control, &vec );
-              if ( error )
-                goto Exit;
-              continue;
-            }
-
-            if ( tag != FT_CURVE_TAG_CONIC )
-              goto Invalid_Outline;
-
-            v_middle.x = ( v_control.x + vec.x ) / 2;
-            v_middle.y = ( v_control.y + vec.y ) / 2;
-
-            error = FT_Stroker_ConicTo( stroker, &v_control, &v_middle );
-            if ( error )
-              goto Exit;
-
-            v_control = vec;
-            goto Do_Conic;
-          }
-
-          error = FT_Stroker_ConicTo( stroker, &v_control, &v_start );
-          goto Close;
-
-        default:  /* FT_CURVE_TAG_CUBIC */
-          {
-            FT_Vector  vec1, vec2;
-
-
-            if ( point + 1 > limit                             ||
-                 FT_CURVE_TAG( tags[1] ) != FT_CURVE_TAG_CUBIC )
-              goto Invalid_Outline;
-
-            point += 2;
-            tags  += 2;
-
-            vec1 = point[-2];
-            vec2 = point[-1];
-
-            if ( point <= limit )
-            {
-              FT_Vector  vec;
-
-
-              vec = point[0];
-
-              error = FT_Stroker_CubicTo( stroker, &vec1, &vec2, &vec );
-              if ( error )
-                goto Exit;
-              continue;
-            }
-
-            error = FT_Stroker_CubicTo( stroker, &vec1, &vec2, &v_start );
-            goto Close;
-          }
-        }
-      }
-
-    Close:
-      if ( error )
-        goto Exit;
-
-      error = FT_Stroker_EndSubPath( stroker );
-      if ( error )
-        goto Exit;
-
-      first = last + 1;
-    }
-
-    return FT_Err_Ok;
-
-  Exit:
-    return error;
-
-  Invalid_Outline:
-    return FT_Err_Invalid_Outline;
-  }
-
-/* declare an extern to access ft_outline_glyph_class global allocated 
-   in ftglyph.c, and use the FT_OUTLINE_GLYPH_CLASS_GET macro to access 
-   it when FT_CONFIG_OPTION_PIC is defined */
-#ifndef FT_CONFIG_OPTION_PIC
-  extern const FT_Glyph_Class  ft_outline_glyph_class;
-#endif
-#include "basepic.h"
-
-
-  /* documentation is in ftstroke.h */
-
-  FT_EXPORT_DEF( FT_Error )
-  FT_Glyph_Stroke( FT_Glyph    *pglyph,
-                   FT_Stroker   stroker,
-                   FT_Bool      destroy )
-  {
-    FT_Error  error = FT_Err_Invalid_Argument;
-    FT_Glyph  glyph = NULL;
-    FT_Library library = stroker->library;
-    FT_UNUSED(library);
-
-    if ( pglyph == NULL )
-      goto Exit;
-
-    glyph = *pglyph;
-    if ( glyph == NULL || glyph->clazz != FT_OUTLINE_GLYPH_CLASS_GET )
-      goto Exit;
-
-    {
-      FT_Glyph  copy;
-
-
-      error = FT_Glyph_Copy( glyph, &copy );
-      if ( error )
-        goto Exit;
-
-      glyph = copy;
-    }
-
-    {
-      FT_OutlineGlyph  oglyph  = (FT_OutlineGlyph) glyph;
-      FT_Outline*      outline = &oglyph->outline;
-      FT_UInt          num_points, num_contours;
-
-
-      error = FT_Stroker_ParseOutline( stroker, outline, FALSE );
-      if ( error )
-        goto Fail;
-
-      (void)FT_Stroker_GetCounts( stroker, &num_points, &num_contours );
-
-      FT_Outline_Done( glyph->library, outline );
-
-      error = FT_Outline_New( glyph->library,
-                              num_points, num_contours, outline );
-      if ( error )
-        goto Fail;
-
-      outline->n_points   = 0;
-      outline->n_contours = 0;
-
-      FT_Stroker_Export( stroker, outline );
-    }
-
-    if ( destroy )
-      FT_Done_Glyph( *pglyph );
-
-    *pglyph = glyph;
-    goto Exit;
-
-  Fail:
-    FT_Done_Glyph( glyph );
-    glyph = NULL;
-
-    if ( !destroy )
-      *pglyph = NULL;
-
-  Exit:
-    return error;
-  }
-
-
-  /* documentation is in ftstroke.h */
-
-  FT_EXPORT_DEF( FT_Error )
-  FT_Glyph_StrokeBorder( FT_Glyph    *pglyph,
-                         FT_Stroker   stroker,
-                         FT_Bool      inside,
-                         FT_Bool      destroy )
-  {
-    FT_Error  error = FT_Err_Invalid_Argument;
-    FT_Glyph  glyph = NULL;
-    FT_Library library = stroker->library;
-    FT_UNUSED(library);
-
-    if ( pglyph == NULL )
-      goto Exit;
-
-    glyph = *pglyph;
-    if ( glyph == NULL || glyph->clazz != FT_OUTLINE_GLYPH_CLASS_GET )
-      goto Exit;
-
-    {
-      FT_Glyph  copy;
-
-
-      error = FT_Glyph_Copy( glyph, &copy );
-      if ( error )
-        goto Exit;
-
-      glyph = copy;
-    }
-
-    {
-      FT_OutlineGlyph   oglyph  = (FT_OutlineGlyph) glyph;
-      FT_StrokerBorder  border;
-      FT_Outline*       outline = &oglyph->outline;
-      FT_UInt           num_points, num_contours;
-
-
-      border = FT_Outline_GetOutsideBorder( outline );
-      if ( inside )
-      {
-        if ( border == FT_STROKER_BORDER_LEFT )
-          border = FT_STROKER_BORDER_RIGHT;
-        else
-          border = FT_STROKER_BORDER_LEFT;
-      }
-
-      error = FT_Stroker_ParseOutline( stroker, outline, FALSE );
-      if ( error )
-        goto Fail;
-
-      (void)FT_Stroker_GetBorderCounts( stroker, border,
-                                        &num_points, &num_contours );
-
-      FT_Outline_Done( glyph->library, outline );
-
-      error = FT_Outline_New( glyph->library,
-                              num_points,
-                              num_contours,
-                              outline );
-      if ( error )
-        goto Fail;
-
-      outline->n_points   = 0;
-      outline->n_contours = 0;
-
-      FT_Stroker_ExportBorder( stroker, border, outline );
-    }
-
-    if ( destroy )
-      FT_Done_Glyph( *pglyph );
-
-    *pglyph = glyph;
-    goto Exit;
-
-  Fail:
-    FT_Done_Glyph( glyph );
-    glyph = NULL;
-
-    if ( !destroy )
-      *pglyph = NULL;
-
-  Exit:
-    return error;
-  }
-
-
-/* END */