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kc3-lang/freetype/src/raster/ftraster.c

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  • Author : Werner Lemberg
    Date : 2020-10-10 12:48:18
    Hash : c9f588be
    Message : Document changes to last release.

  • src/raster/ftraster.c
  • /****************************************************************************
     *
     * ftraster.c
     *
     *   The FreeType glyph rasterizer (body).
     *
     * Copyright (C) 1996-2020 by
     * David Turner, Robert Wilhelm, and Werner Lemberg.
     *
     * This file is part of the FreeType project, and may only be used,
     * modified, and distributed under the terms of the FreeType project
     * license, LICENSE.TXT.  By continuing to use, modify, or distribute
     * this file you indicate that you have read the license and
     * understand and accept it fully.
     *
     */
    
      /**************************************************************************
       *
       * This file can be compiled without the rest of the FreeType engine, by
       * defining the STANDALONE_ macro when compiling it.  You also need to
       * put the files `ftimage.h' and `ftmisc.h' into the $(incdir)
       * directory.  Typically, you should do something like
       *
       * - copy `src/raster/ftraster.c' (this file) to your current directory
       *
       * - copy `include/freetype/ftimage.h' and `src/raster/ftmisc.h' to your
       *   current directory
       *
       * - compile `ftraster' with the STANDALONE_ macro defined, as in
       *
       *     cc -c -DSTANDALONE_ ftraster.c
       *
       * The renderer can be initialized with a call to
       * `ft_standard_raster.raster_new'; a bitmap can be generated
       * with a call to `ft_standard_raster.raster_render'.
       *
       * See the comments and documentation in the file `ftimage.h' for more
       * details on how the raster works.
       *
       */
    
    
      /**************************************************************************
       *
       * This is a rewrite of the FreeType 1.x scan-line converter
       *
       */
    
    #ifdef STANDALONE_
    
      /* The size in bytes of the render pool used by the scan-line converter  */
      /* to do all of its work.                                                */
    #define FT_RENDER_POOL_SIZE  16384L
    
    #define FT_CONFIG_STANDARD_LIBRARY_H  <stdlib.h>
    
    #include <string.h>           /* for memset */
    
    #include "ftmisc.h"
    #include "ftimage.h"
    
    #else /* !STANDALONE_ */
    
    #include "ftraster.h"
    #include <freetype/internal/ftcalc.h> /* for FT_MulDiv and FT_MulDiv_No_Round */
    #include <freetype/ftoutln.h>         /* for FT_Outline_Get_CBox              */
    
    #endif /* !STANDALONE_ */
    
    
      /**************************************************************************
       *
       * A simple technical note on how the raster works
       * -----------------------------------------------
       *
       *   Converting an outline into a bitmap is achieved in several steps:
       *
       *   1 - Decomposing the outline into successive `profiles'.  Each
       *       profile is simply an array of scanline intersections on a given
       *       dimension.  A profile's main attributes are
       *
       *       o its scanline position boundaries, i.e. `Ymin' and `Ymax'
       *
       *       o an array of intersection coordinates for each scanline
       *         between `Ymin' and `Ymax'
       *
       *       o a direction, indicating whether it was built going `up' or
       *         `down', as this is very important for filling rules
       *
       *       o its drop-out mode
       *
       *   2 - Sweeping the target map's scanlines in order to compute segment
       *       `spans' which are then filled.  Additionally, this pass
       *       performs drop-out control.
       *
       *   The outline data is parsed during step 1 only.  The profiles are
       *   built from the bottom of the render pool, used as a stack.  The
       *   following graphics shows the profile list under construction:
       *
       *    __________________________________________________________ _ _
       *   |         |                 |         |                 |
       *   | profile | coordinates for | profile | coordinates for |-->
       *   |    1    |  profile 1      |    2    |  profile 2      |-->
       *   |_________|_________________|_________|_________________|__ _ _
       *
       *   ^                                                       ^
       *   |                                                       |
       * start of render pool                                      top
       *
       *   The top of the profile stack is kept in the `top' variable.
       *
       *   As you can see, a profile record is pushed on top of the render
       *   pool, which is then followed by its coordinates/intersections.  If
       *   a change of direction is detected in the outline, a new profile is
       *   generated until the end of the outline.
       *
       *   Note that when all profiles have been generated, the function
       *   Finalize_Profile_Table() is used to record, for each profile, its
       *   bottom-most scanline as well as the scanline above its upmost
       *   boundary.  These positions are called `y-turns' because they (sort
       *   of) correspond to local extrema.  They are stored in a sorted list
       *   built from the top of the render pool as a downwards stack:
       *
       *     _ _ _______________________________________
       *                           |                    |
       *                        <--| sorted list of     |
       *                        <--|  extrema scanlines |
       *     _ _ __________________|____________________|
       *
       *                           ^                    ^
       *                           |                    |
       *                         maxBuff           sizeBuff = end of pool
       *
       *   This list is later used during the sweep phase in order to
       *   optimize performance (see technical note on the sweep below).
       *
       *   Of course, the raster detects whether the two stacks collide and
       *   handles the situation properly.
       *
       */
    
    
      /*************************************************************************/
      /*************************************************************************/
      /**                                                                     **/
      /**  CONFIGURATION MACROS                                               **/
      /**                                                                     **/
      /*************************************************************************/
      /*************************************************************************/
    
      /* define DEBUG_RASTER if you want to compile a debugging version */
    /* #define DEBUG_RASTER */
    
    
      /*************************************************************************/
      /*************************************************************************/
      /**                                                                     **/
      /**  OTHER MACROS (do not change)                                       **/
      /**                                                                     **/
      /*************************************************************************/
      /*************************************************************************/
    
      /**************************************************************************
       *
       * The macro FT_COMPONENT is used in trace mode.  It is an implicit
       * parameter of the FT_TRACE() and FT_ERROR() macros, used to print/log
       * messages during execution.
       */
    #undef  FT_COMPONENT
    #define FT_COMPONENT  raster
    
    
    #ifdef STANDALONE_
    
      /* Auxiliary macros for token concatenation. */
    #define FT_ERR_XCAT( x, y )  x ## y
    #define FT_ERR_CAT( x, y )   FT_ERR_XCAT( x, y )
    
      /* This macro is used to indicate that a function parameter is unused. */
      /* Its purpose is simply to reduce compiler warnings.  Note also that  */
      /* simply defining it as `(void)x' doesn't avoid warnings with certain */
      /* ANSI compilers (e.g. LCC).                                          */
    #define FT_UNUSED( x )  (x) = (x)
    
      /* Disable the tracing mechanism for simplicity -- developers can      */
      /* activate it easily by redefining these macros.                      */
    #ifndef FT_ERROR
    #define FT_ERROR( x )  do { } while ( 0 )     /* nothing */
    #endif
    
    #ifndef FT_TRACE
    #define FT_TRACE( x )   do { } while ( 0 )    /* nothing */
    #define FT_TRACE1( x )  do { } while ( 0 )    /* nothing */
    #define FT_TRACE6( x )  do { } while ( 0 )    /* nothing */
    #define FT_TRACE7( x )  do { } while ( 0 )    /* nothing */
    #endif
    
    #ifndef FT_THROW
    #define FT_THROW( e )  FT_ERR_CAT( Raster_Err_, e )
    #endif
    
    #define Raster_Err_None          0
    #define Raster_Err_Not_Ini      -1
    #define Raster_Err_Overflow     -2
    #define Raster_Err_Neg_Height   -3
    #define Raster_Err_Invalid      -4
    #define Raster_Err_Unsupported  -5
    
    #define ft_memset  memset
    
    #define FT_DEFINE_RASTER_FUNCS( class_, glyph_format_, raster_new_, \
                                    raster_reset_, raster_set_mode_,    \
                                    raster_render_, raster_done_ )      \
              const FT_Raster_Funcs class_ =                            \
              {                                                         \
                glyph_format_,                                          \
                raster_new_,                                            \
                raster_reset_,                                          \
                raster_set_mode_,                                       \
                raster_render_,                                         \
                raster_done_                                            \
             };
    
    #else /* !STANDALONE_ */
    
    
    #include <freetype/internal/ftobjs.h>
    #include <freetype/internal/ftdebug.h> /* for FT_TRACE, FT_ERROR, and FT_THROW */
    
    #include "rasterrs.h"
    
    #define Raster_Err_None         FT_Err_Ok
    #define Raster_Err_Not_Ini      Raster_Err_Raster_Uninitialized
    #define Raster_Err_Overflow     Raster_Err_Raster_Overflow
    #define Raster_Err_Neg_Height   Raster_Err_Raster_Negative_Height
    #define Raster_Err_Invalid      Raster_Err_Invalid_Outline
    #define Raster_Err_Unsupported  Raster_Err_Cannot_Render_Glyph
    
    
    #endif /* !STANDALONE_ */
    
    
    #ifndef FT_MEM_SET
    #define FT_MEM_SET( d, s, c )  ft_memset( d, s, c )
    #endif
    
    #ifndef FT_MEM_ZERO
    #define FT_MEM_ZERO( dest, count )  FT_MEM_SET( dest, 0, count )
    #endif
    
    #ifndef FT_ZERO
    #define FT_ZERO( p )  FT_MEM_ZERO( p, sizeof ( *(p) ) )
    #endif
    
      /* FMulDiv means `Fast MulDiv'; it is used in case where `b' is       */
      /* typically a small value and the result of a*b is known to fit into */
      /* 32 bits.                                                           */
    #define FMulDiv( a, b, c )  ( (a) * (b) / (c) )
    
      /* On the other hand, SMulDiv means `Slow MulDiv', and is used typically */
      /* for clipping computations.  It simply uses the FT_MulDiv() function   */
      /* defined in `ftcalc.h'.                                                */
    #define SMulDiv           FT_MulDiv
    #define SMulDiv_No_Round  FT_MulDiv_No_Round
    
      /* The rasterizer is a very general purpose component; please leave */
      /* the following redefinitions there (you never know your target    */
      /* environment).                                                    */
    
    #ifndef TRUE
    #define TRUE   1
    #endif
    
    #ifndef FALSE
    #define FALSE  0
    #endif
    
    #ifndef NULL
    #define NULL  (void*)0
    #endif
    
    #ifndef SUCCESS
    #define SUCCESS  0
    #endif
    
    #ifndef FAILURE
    #define FAILURE  1
    #endif
    
    
    #define MaxBezier  32   /* The maximum number of stacked Bezier curves. */
                            /* Setting this constant to more than 32 is a   */
                            /* pure waste of space.                         */
    
    #define Pixel_Bits  6   /* fractional bits of *input* coordinates */
    
    
      /*************************************************************************/
      /*************************************************************************/
      /**                                                                     **/
      /**  SIMPLE TYPE DECLARATIONS                                           **/
      /**                                                                     **/
      /*************************************************************************/
      /*************************************************************************/
    
      typedef int             Int;
      typedef unsigned int    UInt;
      typedef short           Short;
      typedef unsigned short  UShort, *PUShort;
      typedef long            Long, *PLong;
      typedef unsigned long   ULong;
    
      typedef unsigned char   Byte, *PByte;
      typedef char            Bool;
    
    
      typedef union  Alignment_
      {
        Long    l;
        void*   p;
        void  (*f)(void);
    
      } Alignment, *PAlignment;
    
    
      typedef struct  TPoint_
      {
        Long  x;
        Long  y;
    
      } TPoint;
    
    
      /* values for the `flags' bit field */
    #define Flow_Up           0x08U
    #define Overshoot_Top     0x10U
    #define Overshoot_Bottom  0x20U
    
    
      /* States of each line, arc, and profile */
      typedef enum  TStates_
      {
        Unknown_State,
        Ascending_State,
        Descending_State,
        Flat_State
    
      } TStates;
    
    
      typedef struct TProfile_  TProfile;
      typedef TProfile*         PProfile;
    
      struct  TProfile_
      {
        FT_F26Dot6  X;           /* current coordinate during sweep          */
        PProfile    link;        /* link to next profile (various purposes)  */
        PLong       offset;      /* start of profile's data in render pool   */
        UShort      flags;       /* Bit 0-2: drop-out mode                   */
                                 /* Bit 3: profile orientation (up/down)     */
                                 /* Bit 4: is top profile?                   */
                                 /* Bit 5: is bottom profile?                */
        Long        height;      /* profile's height in scanlines            */
        Long        start;       /* profile's starting scanline              */
    
        Int         countL;      /* number of lines to step before this      */
                                 /* profile becomes drawable                 */
    
        PProfile    next;        /* next profile in same contour, used       */
                                 /* during drop-out control                  */
      };
    
      typedef PProfile   TProfileList;
      typedef PProfile*  PProfileList;
    
    
      /* Simple record used to implement a stack of bands, required */
      /* by the sub-banding mechanism                               */
      typedef struct  black_TBand_
      {
        Short  y_min;   /* band's minimum */
        Short  y_max;   /* band's maximum */
    
      } black_TBand;
    
    
    #define AlignProfileSize \
      ( ( sizeof ( TProfile ) + sizeof ( Alignment ) - 1 ) / sizeof ( Long ) )
    
    
    #undef RAS_ARG
    #undef RAS_ARGS
    #undef RAS_VAR
    #undef RAS_VARS
    
    #ifdef FT_STATIC_RASTER
    
    
    #define RAS_ARGS       /* void */
    #define RAS_ARG        void
    
    #define RAS_VARS       /* void */
    #define RAS_VAR        /* void */
    
    #define FT_UNUSED_RASTER  do { } while ( 0 )
    
    
    #else /* !FT_STATIC_RASTER */
    
    
    #define RAS_ARGS       black_PWorker  worker,
    #define RAS_ARG        black_PWorker  worker
    
    #define RAS_VARS       worker,
    #define RAS_VAR        worker
    
    #define FT_UNUSED_RASTER  FT_UNUSED( worker )
    
    
    #endif /* !FT_STATIC_RASTER */
    
    
      typedef struct black_TWorker_  black_TWorker, *black_PWorker;
    
    
      /* prototypes used for sweep function dispatch */
      typedef void
      Function_Sweep_Init( RAS_ARGS Short*  min,
                                    Short*  max );
    
      typedef void
      Function_Sweep_Span( RAS_ARGS Short       y,
                                    FT_F26Dot6  x1,
                                    FT_F26Dot6  x2,
                                    PProfile    left,
                                    PProfile    right );
    
      typedef void
      Function_Sweep_Step( RAS_ARG );
    
    
      /* NOTE: These operations are only valid on 2's complement processors */
    #undef FLOOR
    #undef CEILING
    #undef TRUNC
    #undef SCALED
    
    #define FLOOR( x )    ( (x) & -ras.precision )
    #define CEILING( x )  ( ( (x) + ras.precision - 1 ) & -ras.precision )
    #define TRUNC( x )    ( (Long)(x) >> ras.precision_bits )
    #define FRAC( x )     ( (x) & ( ras.precision - 1 ) )
    
      /* scale and shift grid to pixel centers */
    #define SCALED( x )   ( (x) * ras.precision_scale - ras.precision_half )
    
    #define IS_BOTTOM_OVERSHOOT( x ) \
              (Bool)( CEILING( x ) - x >= ras.precision_half )
    #define IS_TOP_OVERSHOOT( x )    \
              (Bool)( x - FLOOR( x ) >= ras.precision_half )
    
      /* Smart dropout rounding to find which pixel is closer to span ends. */
      /* To mimick Windows, symmetric cases break down indepenently of the  */
      /* precision.                                                         */
    #define SMART( p, q )  FLOOR( ( (p) + (q) + ras.precision * 63 / 64 ) >> 1 )
    
    #if FT_RENDER_POOL_SIZE > 2048
    #define FT_MAX_BLACK_POOL  ( FT_RENDER_POOL_SIZE / sizeof ( Long ) )
    #else
    #define FT_MAX_BLACK_POOL  ( 2048 / sizeof ( Long ) )
    #endif
    
      /* The most used variables are positioned at the top of the structure. */
      /* Thus, their offset can be coded with less opcodes, resulting in a   */
      /* smaller executable.                                                 */
    
      struct  black_TWorker_
      {
        Int         precision_bits;     /* precision related variables         */
        Int         precision;
        Int         precision_half;
        Int         precision_scale;
        Int         precision_step;
        Int         precision_jitter;
    
        PLong       buff;               /* The profiles buffer                 */
        PLong       sizeBuff;           /* Render pool size                    */
        PLong       maxBuff;            /* Profiles buffer size                */
        PLong       top;                /* Current cursor in buffer            */
    
        FT_Error    error;
    
        Int         numTurns;           /* number of Y-turns in outline        */
    
        TPoint*     arc;                /* current Bezier arc pointer          */
    
        UShort      bWidth;             /* target bitmap width                 */
        PByte       bOrigin;            /* target bitmap bottom-left origin    */
    
        Long        lastX, lastY;
        Long        minY, maxY;
    
        UShort      num_Profs;          /* current number of profiles          */
    
        Bool        fresh;              /* signals a fresh new profile which   */
                                        /* `start' field must be completed     */
        Bool        joint;              /* signals that the last arc ended     */
                                        /* exactly on a scanline.  Allows      */
                                        /* removal of doublets                 */
        PProfile    cProfile;           /* current profile                     */
        PProfile    fProfile;           /* head of linked list of profiles     */
        PProfile    gProfile;           /* contour's first profile in case     */
                                        /* of impact                           */
    
        TStates     state;              /* rendering state                     */
    
        FT_Bitmap   target;             /* description of target bit/pixmap    */
        FT_Outline  outline;
    
        Long        traceOfs;           /* current offset in target bitmap     */
        Short       traceIncr;          /* sweep's increment in target bitmap  */
    
        /* dispatch variables */
    
        Function_Sweep_Init*  Proc_Sweep_Init;
        Function_Sweep_Span*  Proc_Sweep_Span;
        Function_Sweep_Span*  Proc_Sweep_Drop;
        Function_Sweep_Step*  Proc_Sweep_Step;
    
        Byte        dropOutControl;     /* current drop_out control method     */
    
        Bool        second_pass;        /* indicates whether a horizontal pass */
                                        /* should be performed to control      */
                                        /* drop-out accurately when calling    */
                                        /* Render_Glyph.                       */
    
        TPoint      arcs[3 * MaxBezier + 1]; /* The Bezier stack               */
    
        black_TBand  band_stack[16];    /* band stack used for sub-banding     */
        Int          band_top;          /* band stack top                      */
    
      };
    
    
      typedef struct  black_TRaster_
      {
        void*          memory;
    
      } black_TRaster, *black_PRaster;
    
    #ifdef FT_STATIC_RASTER
    
      static black_TWorker  ras;
    
    #else /* !FT_STATIC_RASTER */
    
    #define ras  (*worker)
    
    #endif /* !FT_STATIC_RASTER */
    
    
      /*************************************************************************/
      /*************************************************************************/
      /**                                                                     **/
      /**  PROFILES COMPUTATION                                               **/
      /**                                                                     **/
      /*************************************************************************/
      /*************************************************************************/
    
    
      /**************************************************************************
       *
       * @Function:
       *   Set_High_Precision
       *
       * @Description:
       *   Set precision variables according to param flag.
       *
       * @Input:
       *   High ::
       *     Set to True for high precision (typically for ppem < 24),
       *     false otherwise.
       */
      static void
      Set_High_Precision( RAS_ARGS Int  High )
      {
        /*
         * `precision_step' is used in `Bezier_Up' to decide when to split a
         * given y-monotonous Bezier arc that crosses a scanline before
         * approximating it as a straight segment.  The default value of 32 (for
         * low accuracy) corresponds to
         *
         *   32 / 64 == 0.5 pixels,
         *
         * while for the high accuracy case we have
         *
         *   256 / (1 << 12) = 0.0625 pixels.
         *
         * `precision_jitter' is an epsilon threshold used in
         * `Vertical_Sweep_Span' to deal with small imperfections in the Bezier
         * decomposition (after all, we are working with approximations only);
         * it avoids switching on additional pixels which would cause artifacts
         * otherwise.
         *
         * The value of `precision_jitter' has been determined heuristically.
         *
         */
    
        if ( High )
        {
          ras.precision_bits   = 12;
          ras.precision_step   = 256;
          ras.precision_jitter = 30;
        }
        else
        {
          ras.precision_bits   = 6;
          ras.precision_step   = 32;
          ras.precision_jitter = 2;
        }
    
        FT_TRACE6(( "Set_High_Precision(%s)\n", High ? "true" : "false" ));
    
        ras.precision       = 1 << ras.precision_bits;
        ras.precision_half  = ras.precision >> 1;
        ras.precision_scale = ras.precision >> Pixel_Bits;
      }
    
    
      /**************************************************************************
       *
       * @Function:
       *   New_Profile
       *
       * @Description:
       *   Create a new profile in the render pool.
       *
       * @Input:
       *   aState ::
       *     The state/orientation of the new profile.
       *
       *   overshoot ::
       *     Whether the profile's unrounded start position
       *     differs by at least a half pixel.
       *
       * @Return:
       *  SUCCESS on success.  FAILURE in case of overflow or of incoherent
       *  profile.
       */
      static Bool
      New_Profile( RAS_ARGS TStates  aState,
                            Bool     overshoot )
      {
        if ( !ras.fProfile )
        {
          ras.cProfile  = (PProfile)ras.top;
          ras.fProfile  = ras.cProfile;
          ras.top      += AlignProfileSize;
        }
    
        if ( ras.top >= ras.maxBuff )
        {
          ras.error = FT_THROW( Overflow );
          return FAILURE;
        }
    
        ras.cProfile->start  = 0;
        ras.cProfile->height = 0;
        ras.cProfile->offset = ras.top;
        ras.cProfile->link   = (PProfile)0;
        ras.cProfile->next   = (PProfile)0;
        ras.cProfile->flags  = ras.dropOutControl;
    
        switch ( aState )
        {
        case Ascending_State:
          ras.cProfile->flags |= Flow_Up;
          if ( overshoot )
            ras.cProfile->flags |= Overshoot_Bottom;
    
          FT_TRACE6(( "  new ascending profile = %p\n", (void *)ras.cProfile ));
          break;
    
        case Descending_State:
          if ( overshoot )
            ras.cProfile->flags |= Overshoot_Top;
          FT_TRACE6(( "  new descending profile = %p\n", (void *)ras.cProfile ));
          break;
    
        default:
          FT_ERROR(( "New_Profile: invalid profile direction\n" ));
          ras.error = FT_THROW( Invalid );
          return FAILURE;
        }
    
        if ( !ras.gProfile )
          ras.gProfile = ras.cProfile;
    
        ras.state = aState;
        ras.fresh = TRUE;
        ras.joint = FALSE;
    
        return SUCCESS;
      }
    
    
      /**************************************************************************
       *
       * @Function:
       *   End_Profile
       *
       * @Description:
       *   Finalize the current profile.
       *
       * @Input:
       *   overshoot ::
       *     Whether the profile's unrounded end position differs
       *     by at least a half pixel.
       *
       * @Return:
       *   SUCCESS on success.  FAILURE in case of overflow or incoherency.
       */
      static Bool
      End_Profile( RAS_ARGS Bool  overshoot )
      {
        Long  h;
    
    
        h = (Long)( ras.top - ras.cProfile->offset );
    
        if ( h < 0 )
        {
          FT_ERROR(( "End_Profile: negative height encountered\n" ));
          ras.error = FT_THROW( Neg_Height );
          return FAILURE;
        }
    
        if ( h > 0 )
        {
          PProfile  oldProfile;
    
    
          FT_TRACE6(( "  ending profile %p, start = %ld, height = %ld\n",
                      (void *)ras.cProfile, ras.cProfile->start, h ));
    
          ras.cProfile->height = h;
          if ( overshoot )
          {
            if ( ras.cProfile->flags & Flow_Up )
              ras.cProfile->flags |= Overshoot_Top;
            else
              ras.cProfile->flags |= Overshoot_Bottom;
          }
    
          oldProfile   = ras.cProfile;
          ras.cProfile = (PProfile)ras.top;
    
          ras.top += AlignProfileSize;
    
          ras.cProfile->height = 0;
          ras.cProfile->offset = ras.top;
    
          oldProfile->next = ras.cProfile;
          ras.num_Profs++;
        }
    
        if ( ras.top >= ras.maxBuff )
        {
          FT_TRACE1(( "overflow in End_Profile\n" ));
          ras.error = FT_THROW( Overflow );
          return FAILURE;
        }
    
        ras.joint = FALSE;
    
        return SUCCESS;
      }
    
    
      /**************************************************************************
       *
       * @Function:
       *   Insert_Y_Turn
       *
       * @Description:
       *   Insert a salient into the sorted list placed on top of the render
       *   pool.
       *
       * @Input:
       *   New y scanline position.
       *
       * @Return:
       *   SUCCESS on success.  FAILURE in case of overflow.
       */
      static Bool
      Insert_Y_Turn( RAS_ARGS Int  y )
      {
        PLong  y_turns;
        Int    n;
    
    
        n       = ras.numTurns - 1;
        y_turns = ras.sizeBuff - ras.numTurns;
    
        /* look for first y value that is <= */
        while ( n >= 0 && y < y_turns[n] )
          n--;
    
        /* if it is <, simply insert it, ignore if == */
        if ( n >= 0 && y > y_turns[n] )
          do
          {
            Int  y2 = (Int)y_turns[n];
    
    
            y_turns[n] = y;
            y = y2;
          } while ( --n >= 0 );
    
        if ( n < 0 )
        {
          ras.maxBuff--;
          if ( ras.maxBuff <= ras.top )
          {
            ras.error = FT_THROW( Overflow );
            return FAILURE;
          }
          ras.numTurns++;
          ras.sizeBuff[-ras.numTurns] = y;
        }
    
        return SUCCESS;
      }
    
    
      /**************************************************************************
       *
       * @Function:
       *   Finalize_Profile_Table
       *
       * @Description:
       *   Adjust all links in the profiles list.
       *
       * @Return:
       *   SUCCESS on success.  FAILURE in case of overflow.
       */
      static Bool
      Finalize_Profile_Table( RAS_ARG )
      {
        UShort    n;
        PProfile  p;
    
    
        n = ras.num_Profs;
        p = ras.fProfile;
    
        if ( n > 1 && p )
        {
          do
          {
            Int  bottom, top;
    
    
            if ( n > 1 )
              p->link = (PProfile)( p->offset + p->height );
            else
              p->link = NULL;
    
            if ( p->flags & Flow_Up )
            {
              bottom = (Int)p->start;
              top    = (Int)( p->start + p->height - 1 );
            }
            else
            {
              bottom     = (Int)( p->start - p->height + 1 );
              top        = (Int)p->start;
              p->start   = bottom;
              p->offset += p->height - 1;
            }
    
            if ( Insert_Y_Turn( RAS_VARS bottom )  ||
                 Insert_Y_Turn( RAS_VARS top + 1 ) )
              return FAILURE;
    
            p = p->link;
          } while ( --n );
        }
        else
          ras.fProfile = NULL;
    
        return SUCCESS;
      }
    
    
      /**************************************************************************
       *
       * @Function:
       *   Split_Conic
       *
       * @Description:
       *   Subdivide one conic Bezier into two joint sub-arcs in the Bezier
       *   stack.
       *
       * @Input:
       *   None (subdivided Bezier is taken from the top of the stack).
       *
       * @Note:
       *   This routine is the `beef' of this component.  It is  _the_ inner
       *   loop that should be optimized to hell to get the best performance.
       */
      static void
      Split_Conic( TPoint*  base )
      {
        Long  a, b;
    
    
        base[4].x = base[2].x;
        a = base[0].x + base[1].x;
        b = base[1].x + base[2].x;
        base[3].x = b >> 1;
        base[2].x = ( a + b ) >> 2;
        base[1].x = a >> 1;
    
        base[4].y = base[2].y;
        a = base[0].y + base[1].y;
        b = base[1].y + base[2].y;
        base[3].y = b >> 1;
        base[2].y = ( a + b ) >> 2;
        base[1].y = a >> 1;
    
        /* hand optimized.  gcc doesn't seem to be too good at common      */
        /* expression substitution and instruction scheduling ;-)          */
      }
    
    
      /**************************************************************************
       *
       * @Function:
       *   Split_Cubic
       *
       * @Description:
       *   Subdivide a third-order Bezier arc into two joint sub-arcs in the
       *   Bezier stack.
       *
       * @Note:
       *   This routine is the `beef' of the component.  It is one of _the_
       *   inner loops that should be optimized like hell to get the best
       *   performance.
       */
      static void
      Split_Cubic( TPoint*  base )
      {
        Long  a, b, c;
    
    
        base[6].x = base[3].x;
        a = base[0].x + base[1].x;
        b = base[1].x + base[2].x;
        c = base[2].x + base[3].x;
        base[5].x = c >> 1;
        c += b;
        base[4].x = c >> 2;
        base[1].x = a >> 1;
        a += b;
        base[2].x = a >> 2;
        base[3].x = ( a + c ) >> 3;
    
        base[6].y = base[3].y;
        a = base[0].y + base[1].y;
        b = base[1].y + base[2].y;
        c = base[2].y + base[3].y;
        base[5].y = c >> 1;
        c += b;
        base[4].y = c >> 2;
        base[1].y = a >> 1;
        a += b;
        base[2].y = a >> 2;
        base[3].y = ( a + c ) >> 3;
      }
    
    
      /**************************************************************************
       *
       * @Function:
       *   Line_Up
       *
       * @Description:
       *   Compute the x-coordinates of an ascending line segment and store
       *   them in the render pool.
       *
       * @Input:
       *   x1 ::
       *     The x-coordinate of the segment's start point.
       *
       *   y1 ::
       *     The y-coordinate of the segment's start point.
       *
       *   x2 ::
       *     The x-coordinate of the segment's end point.
       *
       *   y2 ::
       *     The y-coordinate of the segment's end point.
       *
       *   miny ::
       *     A lower vertical clipping bound value.
       *
       *   maxy ::
       *     An upper vertical clipping bound value.
       *
       * @Return:
       *   SUCCESS on success, FAILURE on render pool overflow.
       */
      static Bool
      Line_Up( RAS_ARGS Long  x1,
                        Long  y1,
                        Long  x2,
                        Long  y2,
                        Long  miny,
                        Long  maxy )
      {
        Long   Dx, Dy;
        Int    e1, e2, f1, f2, size;     /* XXX: is `Short' sufficient? */
        Long   Ix, Rx, Ax;
    
        PLong  top;
    
    
        Dx = x2 - x1;
        Dy = y2 - y1;
    
        if ( Dy <= 0 || y2 < miny || y1 > maxy )
          return SUCCESS;
    
        if ( y1 < miny )
        {
          /* Take care: miny-y1 can be a very large value; we use     */
          /*            a slow MulDiv function to avoid clipping bugs */
          x1 += SMulDiv( Dx, miny - y1, Dy );
          e1  = (Int)TRUNC( miny );
          f1  = 0;
        }
        else
        {
          e1 = (Int)TRUNC( y1 );
          f1 = (Int)FRAC( y1 );
        }
    
        if ( y2 > maxy )
        {
          /* x2 += FMulDiv( Dx, maxy - y2, Dy );  UNNECESSARY */
          e2  = (Int)TRUNC( maxy );
          f2  = 0;
        }
        else
        {
          e2 = (Int)TRUNC( y2 );
          f2 = (Int)FRAC( y2 );
        }
    
        if ( f1 > 0 )
        {
          if ( e1 == e2 )
            return SUCCESS;
          else
          {
            x1 += SMulDiv( Dx, ras.precision - f1, Dy );
            e1 += 1;
          }
        }
        else
          if ( ras.joint )
          {
            ras.top--;
            ras.joint = FALSE;
          }
    
        ras.joint = (char)( f2 == 0 );
    
        if ( ras.fresh )
        {
          ras.cProfile->start = e1;
          ras.fresh           = FALSE;
        }
    
        size = e2 - e1 + 1;
        if ( ras.top + size >= ras.maxBuff )
        {
          ras.error = FT_THROW( Overflow );
          return FAILURE;
        }
    
        if ( Dx > 0 )
        {
          Ix = SMulDiv_No_Round( ras.precision, Dx, Dy );
          Rx = ( ras.precision * Dx ) % Dy;
          Dx = 1;
        }
        else
        {
          Ix = -SMulDiv_No_Round( ras.precision, -Dx, Dy );
          Rx = ( ras.precision * -Dx ) % Dy;
          Dx = -1;
        }
    
        Ax  = -Dy;
        top = ras.top;
    
        while ( size > 0 )
        {
          *top++ = x1;
    
          x1 += Ix;
          Ax += Rx;
          if ( Ax >= 0 )
          {
            Ax -= Dy;
            x1 += Dx;
          }
          size--;
        }
    
        ras.top = top;
        return SUCCESS;
      }
    
    
      /**************************************************************************
       *
       * @Function:
       *   Line_Down
       *
       * @Description:
       *   Compute the x-coordinates of an descending line segment and store
       *   them in the render pool.
       *
       * @Input:
       *   x1 ::
       *     The x-coordinate of the segment's start point.
       *
       *   y1 ::
       *     The y-coordinate of the segment's start point.
       *
       *   x2 ::
       *     The x-coordinate of the segment's end point.
       *
       *   y2 ::
       *     The y-coordinate of the segment's end point.
       *
       *   miny ::
       *     A lower vertical clipping bound value.
       *
       *   maxy ::
       *     An upper vertical clipping bound value.
       *
       * @Return:
       *   SUCCESS on success, FAILURE on render pool overflow.
       */
      static Bool
      Line_Down( RAS_ARGS Long  x1,
                          Long  y1,
                          Long  x2,
                          Long  y2,
                          Long  miny,
                          Long  maxy )
      {
        Bool  result, fresh;
    
    
        fresh  = ras.fresh;
    
        result = Line_Up( RAS_VARS x1, -y1, x2, -y2, -maxy, -miny );
    
        if ( fresh && !ras.fresh )
          ras.cProfile->start = -ras.cProfile->start;
    
        return result;
      }
    
    
      /* A function type describing the functions used to split Bezier arcs */
      typedef void  (*TSplitter)( TPoint*  base );
    
    
      /**************************************************************************
       *
       * @Function:
       *   Bezier_Up
       *
       * @Description:
       *   Compute the x-coordinates of an ascending Bezier arc and store
       *   them in the render pool.
       *
       * @Input:
       *   degree ::
       *     The degree of the Bezier arc (either 2 or 3).
       *
       *   splitter ::
       *     The function to split Bezier arcs.
       *
       *   miny ::
       *     A lower vertical clipping bound value.
       *
       *   maxy ::
       *     An upper vertical clipping bound value.
       *
       * @Return:
       *   SUCCESS on success, FAILURE on render pool overflow.
       */
      static Bool
      Bezier_Up( RAS_ARGS Int        degree,
                          TSplitter  splitter,
                          Long       miny,
                          Long       maxy )
      {
        Long   y1, y2, e, e2, e0;
        Short  f1;
    
        TPoint*  arc;
        TPoint*  start_arc;
    
        PLong top;
    
    
        arc = ras.arc;
        y1  = arc[degree].y;
        y2  = arc[0].y;
        top = ras.top;
    
        if ( y2 < miny || y1 > maxy )
          goto Fin;
    
        e2 = FLOOR( y2 );
    
        if ( e2 > maxy )
          e2 = maxy;
    
        e0 = miny;
    
        if ( y1 < miny )
          e = miny;
        else
        {
          e  = CEILING( y1 );
          f1 = (Short)( FRAC( y1 ) );
          e0 = e;
    
          if ( f1 == 0 )
          {
            if ( ras.joint )
            {
              top--;
              ras.joint = FALSE;
            }
    
            *top++ = arc[degree].x;
    
            e += ras.precision;
          }
        }
    
        if ( ras.fresh )
        {
          ras.cProfile->start = TRUNC( e0 );
          ras.fresh = FALSE;
        }
    
        if ( e2 < e )
          goto Fin;
    
        if ( ( top + TRUNC( e2 - e ) + 1 ) >= ras.maxBuff )
        {
          ras.top   = top;
          ras.error = FT_THROW( Overflow );
          return FAILURE;
        }
    
        start_arc = arc;
    
        do
        {
          ras.joint = FALSE;
    
          y2 = arc[0].y;
    
          if ( y2 > e )
          {
            y1 = arc[degree].y;
            if ( y2 - y1 >= ras.precision_step )
            {
              splitter( arc );
              arc += degree;
            }
            else
            {
              *top++ = arc[degree].x + FMulDiv( arc[0].x - arc[degree].x,
                                                e - y1, y2 - y1 );
              arc -= degree;
              e   += ras.precision;
            }
          }
          else
          {
            if ( y2 == e )
            {
              ras.joint  = TRUE;
              *top++     = arc[0].x;
    
              e += ras.precision;
            }
            arc -= degree;
          }
        } while ( arc >= start_arc && e <= e2 );
    
      Fin:
        ras.top  = top;
        ras.arc -= degree;
        return SUCCESS;
      }
    
    
      /**************************************************************************
       *
       * @Function:
       *   Bezier_Down
       *
       * @Description:
       *   Compute the x-coordinates of an descending Bezier arc and store
       *   them in the render pool.
       *
       * @Input:
       *   degree ::
       *     The degree of the Bezier arc (either 2 or 3).
       *
       *   splitter ::
       *     The function to split Bezier arcs.
       *
       *   miny ::
       *     A lower vertical clipping bound value.
       *
       *   maxy ::
       *     An upper vertical clipping bound value.
       *
       * @Return:
       *   SUCCESS on success, FAILURE on render pool overflow.
       */
      static Bool
      Bezier_Down( RAS_ARGS Int        degree,
                            TSplitter  splitter,
                            Long       miny,
                            Long       maxy )
      {
        TPoint*  arc = ras.arc;
        Bool     result, fresh;
    
    
        arc[0].y = -arc[0].y;
        arc[1].y = -arc[1].y;
        arc[2].y = -arc[2].y;
        if ( degree > 2 )
          arc[3].y = -arc[3].y;
    
        fresh = ras.fresh;
    
        result = Bezier_Up( RAS_VARS degree, splitter, -maxy, -miny );
    
        if ( fresh && !ras.fresh )
          ras.cProfile->start = -ras.cProfile->start;
    
        arc[0].y = -arc[0].y;
        return result;
      }
    
    
      /**************************************************************************
       *
       * @Function:
       *   Line_To
       *
       * @Description:
       *   Inject a new line segment and adjust the Profiles list.
       *
       * @Input:
       *  x ::
       *    The x-coordinate of the segment's end point (its start point
       *    is stored in `lastX').
       *
       *  y ::
       *    The y-coordinate of the segment's end point (its start point
       *    is stored in `lastY').
       *
       * @Return:
       *  SUCCESS on success, FAILURE on render pool overflow or incorrect
       *  profile.
       */
      static Bool
      Line_To( RAS_ARGS Long  x,
                        Long  y )
      {
        /* First, detect a change of direction */
    
        switch ( ras.state )
        {
        case Unknown_State:
          if ( y > ras.lastY )
          {
            if ( New_Profile( RAS_VARS Ascending_State,
                                       IS_BOTTOM_OVERSHOOT( ras.lastY ) ) )
              return FAILURE;
          }
          else
          {
            if ( y < ras.lastY )
              if ( New_Profile( RAS_VARS Descending_State,
                                         IS_TOP_OVERSHOOT( ras.lastY ) ) )
                return FAILURE;
          }
          break;
    
        case Ascending_State:
          if ( y < ras.lastY )
          {
            if ( End_Profile( RAS_VARS IS_TOP_OVERSHOOT( ras.lastY ) ) ||
                 New_Profile( RAS_VARS Descending_State,
                                       IS_TOP_OVERSHOOT( ras.lastY ) ) )
              return FAILURE;
          }
          break;
    
        case Descending_State:
          if ( y > ras.lastY )
          {
            if ( End_Profile( RAS_VARS IS_BOTTOM_OVERSHOOT( ras.lastY ) ) ||
                 New_Profile( RAS_VARS Ascending_State,
                                       IS_BOTTOM_OVERSHOOT( ras.lastY ) ) )
              return FAILURE;
          }
          break;
    
        default:
          ;
        }
    
        /* Then compute the lines */
    
        switch ( ras.state )
        {
        case Ascending_State:
          if ( Line_Up( RAS_VARS ras.lastX, ras.lastY,
                                 x, y, ras.minY, ras.maxY ) )
            return FAILURE;
          break;
    
        case Descending_State:
          if ( Line_Down( RAS_VARS ras.lastX, ras.lastY,
                                   x, y, ras.minY, ras.maxY ) )
            return FAILURE;
          break;
    
        default:
          ;
        }
    
        ras.lastX = x;
        ras.lastY = y;
    
        return SUCCESS;
      }
    
    
      /**************************************************************************
       *
       * @Function:
       *   Conic_To
       *
       * @Description:
       *   Inject a new conic arc and adjust the profile list.
       *
       * @Input:
       *  cx ::
       *    The x-coordinate of the arc's new control point.
       *
       *  cy ::
       *    The y-coordinate of the arc's new control point.
       *
       *  x ::
       *    The x-coordinate of the arc's end point (its start point is
       *    stored in `lastX').
       *
       *  y ::
       *    The y-coordinate of the arc's end point (its start point is
       *    stored in `lastY').
       *
       * @Return:
       *  SUCCESS on success, FAILURE on render pool overflow or incorrect
       *  profile.
       */
      static Bool
      Conic_To( RAS_ARGS Long  cx,
                         Long  cy,
                         Long  x,
                         Long  y )
      {
        Long     y1, y2, y3, x3, ymin, ymax;
        TStates  state_bez;
    
    
        ras.arc      = ras.arcs;
        ras.arc[2].x = ras.lastX;
        ras.arc[2].y = ras.lastY;
        ras.arc[1].x = cx;
        ras.arc[1].y = cy;
        ras.arc[0].x = x;
        ras.arc[0].y = y;
    
        do
        {
          y1 = ras.arc[2].y;
          y2 = ras.arc[1].y;
          y3 = ras.arc[0].y;
          x3 = ras.arc[0].x;
    
          /* first, categorize the Bezier arc */
    
          if ( y1 <= y3 )
          {
            ymin = y1;
            ymax = y3;
          }
          else
          {
            ymin = y3;
            ymax = y1;
          }
    
          if ( y2 < ymin || y2 > ymax )
          {
            /* this arc has no given direction, split it! */
            Split_Conic( ras.arc );
            ras.arc += 2;
          }
          else if ( y1 == y3 )
          {
            /* this arc is flat, ignore it and pop it from the Bezier stack */
            ras.arc -= 2;
          }
          else
          {
            /* the arc is y-monotonous, either ascending or descending */
            /* detect a change of direction                            */
            state_bez = y1 < y3 ? Ascending_State : Descending_State;
            if ( ras.state != state_bez )
            {
              Bool  o = ( state_bez == Ascending_State )
                          ? IS_BOTTOM_OVERSHOOT( y1 )
                          : IS_TOP_OVERSHOOT( y1 );
    
    
              /* finalize current profile if any */
              if ( ras.state != Unknown_State &&
                   End_Profile( RAS_VARS o )  )
                goto Fail;
    
              /* create a new profile */
              if ( New_Profile( RAS_VARS state_bez, o ) )
                goto Fail;
            }
    
            /* now call the appropriate routine */
            if ( state_bez == Ascending_State )
            {
              if ( Bezier_Up( RAS_VARS 2, Split_Conic, ras.minY, ras.maxY ) )
                goto Fail;
            }
            else
              if ( Bezier_Down( RAS_VARS 2, Split_Conic, ras.minY, ras.maxY ) )
                goto Fail;
          }
    
        } while ( ras.arc >= ras.arcs );
    
        ras.lastX = x3;
        ras.lastY = y3;
    
        return SUCCESS;
    
      Fail:
        return FAILURE;
      }
    
    
      /**************************************************************************
       *
       * @Function:
       *   Cubic_To
       *
       * @Description:
       *   Inject a new cubic arc and adjust the profile list.
       *
       * @Input:
       *  cx1 ::
       *    The x-coordinate of the arc's first new control point.
       *
       *  cy1 ::
       *    The y-coordinate of the arc's first new control point.
       *
       *  cx2 ::
       *    The x-coordinate of the arc's second new control point.
       *
       *  cy2 ::
       *    The y-coordinate of the arc's second new control point.
       *
       *  x ::
       *    The x-coordinate of the arc's end point (its start point is
       *    stored in `lastX').
       *
       *  y ::
       *    The y-coordinate of the arc's end point (its start point is
       *    stored in `lastY').
       *
       * @Return:
       *  SUCCESS on success, FAILURE on render pool overflow or incorrect
       *  profile.
       */
      static Bool
      Cubic_To( RAS_ARGS Long  cx1,
                         Long  cy1,
                         Long  cx2,
                         Long  cy2,
                         Long  x,
                         Long  y )
      {
        Long     y1, y2, y3, y4, x4, ymin1, ymax1, ymin2, ymax2;
        TStates  state_bez;
    
    
        ras.arc      = ras.arcs;
        ras.arc[3].x = ras.lastX;
        ras.arc[3].y = ras.lastY;
        ras.arc[2].x = cx1;
        ras.arc[2].y = cy1;
        ras.arc[1].x = cx2;
        ras.arc[1].y = cy2;
        ras.arc[0].x = x;
        ras.arc[0].y = y;
    
        do
        {
          y1 = ras.arc[3].y;
          y2 = ras.arc[2].y;
          y3 = ras.arc[1].y;
          y4 = ras.arc[0].y;
          x4 = ras.arc[0].x;
    
          /* first, categorize the Bezier arc */
    
          if ( y1 <= y4 )
          {
            ymin1 = y1;
            ymax1 = y4;
          }
          else
          {
            ymin1 = y4;
            ymax1 = y1;
          }
    
          if ( y2 <= y3 )
          {
            ymin2 = y2;
            ymax2 = y3;
          }
          else
          {
            ymin2 = y3;
            ymax2 = y2;
          }
    
          if ( ymin2 < ymin1 || ymax2 > ymax1 )
          {
            /* this arc has no given direction, split it! */
            Split_Cubic( ras.arc );
            ras.arc += 3;
          }
          else if ( y1 == y4 )
          {
            /* this arc is flat, ignore it and pop it from the Bezier stack */
            ras.arc -= 3;
          }
          else
          {
            state_bez = ( y1 <= y4 ) ? Ascending_State : Descending_State;
    
            /* detect a change of direction */
            if ( ras.state != state_bez )
            {
              Bool  o = ( state_bez == Ascending_State )
                          ? IS_BOTTOM_OVERSHOOT( y1 )
                          : IS_TOP_OVERSHOOT( y1 );
    
    
              /* finalize current profile if any */
              if ( ras.state != Unknown_State &&
                   End_Profile( RAS_VARS o )  )
                goto Fail;
    
              if ( New_Profile( RAS_VARS state_bez, o ) )
                goto Fail;
            }
    
            /* compute intersections */
            if ( state_bez == Ascending_State )
            {
              if ( Bezier_Up( RAS_VARS 3, Split_Cubic, ras.minY, ras.maxY ) )
                goto Fail;
            }
            else
              if ( Bezier_Down( RAS_VARS 3, Split_Cubic, ras.minY, ras.maxY ) )
                goto Fail;
          }
    
        } while ( ras.arc >= ras.arcs );
    
        ras.lastX = x4;
        ras.lastY = y4;
    
        return SUCCESS;
    
      Fail:
        return FAILURE;
      }
    
    
    #undef  SWAP_
    #define SWAP_( x, y )  do                \
                           {                 \
                             Long  swap = x; \
                                             \
                                             \
                             x = y;          \
                             y = swap;       \
                           } while ( 0 )
    
    
      /**************************************************************************
       *
       * @Function:
       *   Decompose_Curve
       *
       * @Description:
       *   Scan the outline arrays in order to emit individual segments and
       *   Beziers by calling Line_To() and Bezier_To().  It handles all
       *   weird cases, like when the first point is off the curve, or when
       *   there are simply no `on' points in the contour!
       *
       * @Input:
       *   first ::
       *     The index of the first point in the contour.
       *
       *   last ::
       *     The index of the last point in the contour.
       *
       *   flipped ::
       *     If set, flip the direction of the curve.
       *
       * @Return:
       *   SUCCESS on success, FAILURE on error.
       */
      static Bool
      Decompose_Curve( RAS_ARGS UShort  first,
                                UShort  last,
                                Int     flipped )
      {
        FT_Vector   v_last;
        FT_Vector   v_control;
        FT_Vector   v_start;
    
        FT_Vector*  points;
        FT_Vector*  point;
        FT_Vector*  limit;
        char*       tags;
    
        UInt        tag;       /* current point's state           */
    
    
        points = ras.outline.points;
        limit  = points + last;
    
        v_start.x = SCALED( points[first].x );
        v_start.y = SCALED( points[first].y );
        v_last.x  = SCALED( points[last].x );
        v_last.y  = SCALED( points[last].y );
    
        if ( flipped )
        {
          SWAP_( v_start.x, v_start.y );
          SWAP_( v_last.x, v_last.y );
        }
    
        v_control = v_start;
    
        point = points + first;
        tags  = ras.outline.tags + first;
    
        /* set scan mode if necessary */
        if ( tags[0] & FT_CURVE_TAG_HAS_SCANMODE )
          ras.dropOutControl = (Byte)tags[0] >> 5;
    
        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( ras.outline.tags[last] ) == FT_CURVE_TAG_ON )
          {
            /* start at last point if it is on the curve */
            v_start = v_last;
            limit--;
          }
          else
          {
            /* if both first and last points are conic,         */
            /* start at their middle and record its position    */
            /* for closure                                      */
            v_start.x = ( v_start.x + v_last.x ) / 2;
            v_start.y = ( v_start.y + v_last.y ) / 2;
    
         /* v_last = v_start; */
          }
          point--;
          tags--;
        }
    
        ras.lastX = v_start.x;
        ras.lastY = v_start.y;
    
        while ( point < limit )
        {
          point++;
          tags++;
    
          tag = FT_CURVE_TAG( tags[0] );
    
          switch ( tag )
          {
          case FT_CURVE_TAG_ON:  /* emit a single line_to */
            {
              Long  x, y;
    
    
              x = SCALED( point->x );
              y = SCALED( point->y );
              if ( flipped )
                SWAP_( x, y );
    
              if ( Line_To( RAS_VARS x, y ) )
                goto Fail;
              continue;
            }
    
          case FT_CURVE_TAG_CONIC:  /* consume conic arcs */
            v_control.x = SCALED( point[0].x );
            v_control.y = SCALED( point[0].y );
    
            if ( flipped )
              SWAP_( v_control.x, v_control.y );
    
          Do_Conic:
            if ( point < limit )
            {
              FT_Vector  v_middle;
              Long       x, y;
    
    
              point++;
              tags++;
              tag = FT_CURVE_TAG( tags[0] );
    
              x = SCALED( point[0].x );
              y = SCALED( point[0].y );
    
              if ( flipped )
                SWAP_( x, y );
    
              if ( tag == FT_CURVE_TAG_ON )
              {
                if ( Conic_To( RAS_VARS v_control.x, v_control.y, x, y ) )
                  goto Fail;
                continue;
              }
    
              if ( tag != FT_CURVE_TAG_CONIC )
                goto Invalid_Outline;
    
              v_middle.x = ( v_control.x + x ) / 2;
              v_middle.y = ( v_control.y + y ) / 2;
    
              if ( Conic_To( RAS_VARS v_control.x, v_control.y,
                                      v_middle.x,  v_middle.y ) )
                goto Fail;
    
              v_control.x = x;
              v_control.y = y;
    
              goto Do_Conic;
            }
    
            if ( Conic_To( RAS_VARS v_control.x, v_control.y,
                                    v_start.x,   v_start.y ) )
              goto Fail;
    
            goto Close;
    
          default:  /* FT_CURVE_TAG_CUBIC */
            {
              Long  x1, y1, x2, y2, x3, y3;
    
    
              if ( point + 1 > limit                             ||
                   FT_CURVE_TAG( tags[1] ) != FT_CURVE_TAG_CUBIC )
                goto Invalid_Outline;
    
              point += 2;
              tags  += 2;
    
              x1 = SCALED( point[-2].x );
              y1 = SCALED( point[-2].y );
              x2 = SCALED( point[-1].x );
              y2 = SCALED( point[-1].y );
    
              if ( flipped )
              {
                SWAP_( x1, y1 );
                SWAP_( x2, y2 );
              }
    
              if ( point <= limit )
              {
                x3 = SCALED( point[0].x );
                y3 = SCALED( point[0].y );
    
                if ( flipped )
                  SWAP_( x3, y3 );
    
                if ( Cubic_To( RAS_VARS x1, y1, x2, y2, x3, y3 ) )
                  goto Fail;
                continue;
              }
    
              if ( Cubic_To( RAS_VARS x1, y1, x2, y2, v_start.x, v_start.y ) )
                goto Fail;
              goto Close;
            }
          }
        }
    
        /* close the contour with a line segment */
        if ( Line_To( RAS_VARS v_start.x, v_start.y ) )
          goto Fail;
    
      Close:
        return SUCCESS;
    
      Invalid_Outline:
        ras.error = FT_THROW( Invalid );
    
      Fail:
        return FAILURE;
      }
    
    
      /**************************************************************************
       *
       * @Function:
       *   Convert_Glyph
       *
       * @Description:
       *   Convert a glyph into a series of segments and arcs and make a
       *   profiles list with them.
       *
       * @Input:
       *   flipped ::
       *     If set, flip the direction of curve.
       *
       * @Return:
       *   SUCCESS on success, FAILURE if any error was encountered during
       *   rendering.
       */
      static Bool
      Convert_Glyph( RAS_ARGS Int  flipped )
      {
        Int   i;
        UInt  start;
    
    
        ras.fProfile = NULL;
        ras.joint    = FALSE;
        ras.fresh    = FALSE;
    
        ras.maxBuff  = ras.sizeBuff - AlignProfileSize;
    
        ras.numTurns = 0;
    
        ras.cProfile         = (PProfile)ras.top;
        ras.cProfile->offset = ras.top;
        ras.num_Profs        = 0;
    
        start = 0;
    
        for ( i = 0; i < ras.outline.n_contours; i++ )
        {
          PProfile  lastProfile;
          Bool      o;
    
    
          ras.state    = Unknown_State;
          ras.gProfile = NULL;
    
          if ( Decompose_Curve( RAS_VARS (UShort)start,
                                         (UShort)ras.outline.contours[i],
                                         flipped ) )
            return FAILURE;
    
          start = (UShort)ras.outline.contours[i] + 1;
    
          /* we must now check whether the extreme arcs join or not */
          if ( FRAC( ras.lastY ) == 0 &&
               ras.lastY >= ras.minY  &&
               ras.lastY <= ras.maxY  )
            if ( ras.gProfile                        &&
                 ( ras.gProfile->flags & Flow_Up ) ==
                   ( ras.cProfile->flags & Flow_Up ) )
              ras.top--;
            /* Note that ras.gProfile can be nil if the contour was too small */
            /* to be drawn.                                                   */
    
          lastProfile = ras.cProfile;
          if ( ras.top != ras.cProfile->offset &&
               ( ras.cProfile->flags & Flow_Up ) )
            o = IS_TOP_OVERSHOOT( ras.lastY );
          else
            o = IS_BOTTOM_OVERSHOOT( ras.lastY );
          if ( End_Profile( RAS_VARS o ) )
            return FAILURE;
    
          /* close the `next profile in contour' linked list */
          if ( ras.gProfile )
            lastProfile->next = ras.gProfile;
        }
    
        if ( Finalize_Profile_Table( RAS_VAR ) )
          return FAILURE;
    
        return (Bool)( ras.top < ras.maxBuff ? SUCCESS : FAILURE );
      }
    
    
      /*************************************************************************/
      /*************************************************************************/
      /**                                                                     **/
      /**  SCAN-LINE SWEEPS AND DRAWING                                       **/
      /**                                                                     **/
      /*************************************************************************/
      /*************************************************************************/
    
    
      /**************************************************************************
       *
       * Init_Linked
       *
       *   Initializes an empty linked list.
       */
      static void
      Init_Linked( TProfileList*  l )
      {
        *l = NULL;
      }
    
    
      /**************************************************************************
       *
       * InsNew
       *
       *   Inserts a new profile in a linked list.
       */
      static void
      InsNew( PProfileList  list,
              PProfile      profile )
      {
        PProfile  *old, current;
        Long       x;
    
    
        old     = list;
        current = *old;
        x       = profile->X;
    
        while ( current )
        {
          if ( x < current->X )
            break;
          old     = &current->link;
          current = *old;
        }
    
        profile->link = current;
        *old          = profile;
      }
    
    
      /**************************************************************************
       *
       * DelOld
       *
       *   Removes an old profile from a linked list.
       */
      static void
      DelOld( PProfileList  list,
              PProfile      profile )
      {
        PProfile  *old, current;
    
    
        old     = list;
        current = *old;
    
        while ( current )
        {
          if ( current == profile )
          {
            *old = current->link;
            return;
          }
    
          old     = &current->link;
          current = *old;
        }
    
        /* we should never get there, unless the profile was not part of */
        /* the list.                                                     */
      }
    
    
      /**************************************************************************
       *
       * Sort
       *
       *   Sorts a trace list.  In 95%, the list is already sorted.  We need
       *   an algorithm which is fast in this case.  Bubble sort is enough
       *   and simple.
       */
      static void
      Sort( PProfileList  list )
      {
        PProfile  *old, current, next;
    
    
        /* First, set the new X coordinate of each profile */
        current = *list;
        while ( current )
        {
          current->X       = *current->offset;
          current->offset += ( current->flags & Flow_Up ) ? 1 : -1;
          current->height--;
          current = current->link;
        }
    
        /* Then sort them */
        old     = list;
        current = *old;
    
        if ( !current )
          return;
    
        next = current->link;
    
        while ( next )
        {
          if ( current->X <= next->X )
          {
            old     = &current->link;
            current = *old;
    
            if ( !current )
              return;
          }
          else
          {
            *old          = next;
            current->link = next->link;
            next->link    = current;
    
            old     = list;
            current = *old;
          }
    
          next = current->link;
        }
      }
    
    
      /**************************************************************************
       *
       * Vertical Sweep Procedure Set
       *
       * These four routines are used during the vertical black/white sweep
       * phase by the generic Draw_Sweep() function.
       *
       */
    
      static void
      Vertical_Sweep_Init( RAS_ARGS Short*  min,
                                    Short*  max )
      {
        Long  pitch = ras.target.pitch;
    
        FT_UNUSED( max );
    
    
        ras.traceIncr = (Short)-pitch;
        ras.traceOfs  = -*min * pitch;
      }
    
    
      static void
      Vertical_Sweep_Span( RAS_ARGS Short       y,
                                    FT_F26Dot6  x1,
                                    FT_F26Dot6  x2,
                                    PProfile    left,
                                    PProfile    right )
      {
        Long   e1, e2;
        Byte*  target;
    
        Int  dropOutControl = left->flags & 7;
    
        FT_UNUSED( y );
        FT_UNUSED( left );
        FT_UNUSED( right );
    
    
        /* in high-precision mode, we need 12 digits after the comma to */
        /* represent multiples of 1/(1<<12) = 1/4096                    */
        FT_TRACE7(( "  y=%d x=[% .12f;% .12f]",
                    y,
                    x1 / (double)ras.precision,
                    x2 / (double)ras.precision ));
    
        /* Drop-out control */
    
        e1 = CEILING( x1 );
        e2 = FLOOR( x2 );
    
        /* take care of the special case where both the left */
        /* and right contour lie exactly on pixel centers    */
        if ( dropOutControl != 2                             &&
             x2 - x1 - ras.precision <= ras.precision_jitter &&
             e1 != x1 && e2 != x2                            )
          e2 = e1;
    
        e1 = TRUNC( e1 );
        e2 = TRUNC( e2 );
    
        if ( e2 >= 0 && e1 < ras.bWidth )
        {
          Int   c1, c2;
          Byte  f1, f2;
    
    
          if ( e1 < 0 )
            e1 = 0;
          if ( e2 >= ras.bWidth )
            e2 = ras.bWidth - 1;
    
          FT_TRACE7(( " -> x=[%ld;%ld]", e1, e2 ));
    
          c1 = (Short)( e1 >> 3 );
          c2 = (Short)( e2 >> 3 );
    
          f1 = (Byte)  ( 0xFF >> ( e1 & 7 ) );
          f2 = (Byte) ~( 0x7F >> ( e2 & 7 ) );
    
          target = ras.bOrigin + ras.traceOfs + c1;
          c2 -= c1;
    
          if ( c2 > 0 )
          {
            target[0] |= f1;
    
            /* memset() is slower than the following code on many platforms. */
            /* This is due to the fact that, in the vast majority of cases,  */
            /* the span length in bytes is relatively small.                 */
            while ( --c2 > 0 )
              *(++target) = 0xFF;
    
            target[1] |= f2;
          }
          else
            *target |= ( f1 & f2 );
        }
    
        FT_TRACE7(( "\n" ));
      }
    
    
      static void
      Vertical_Sweep_Drop( RAS_ARGS Short       y,
                                    FT_F26Dot6  x1,
                                    FT_F26Dot6  x2,
                                    PProfile    left,
                                    PProfile    right )
      {
        Long   e1, e2, pxl;
        Short  c1, f1;
    
    
        FT_TRACE7(( "  y=%d x=[% .12f;% .12f]",
                    y,
                    x1 / (double)ras.precision,
                    x2 / (double)ras.precision ));
    
        /* Drop-out control */
    
        /*   e2            x2                    x1           e1   */
        /*                                                         */
        /*                 ^                     |                 */
        /*                 |                     |                 */
        /*   +-------------+---------------------+------------+    */
        /*                 |                     |                 */
        /*                 |                     v                 */
        /*                                                         */
        /* pixel         contour              contour       pixel  */
        /* center                                           center */
    
        /* drop-out mode    scan conversion rules (as defined in OpenType) */
        /* --------------------------------------------------------------- */
        /*  0                1, 2, 3                                       */
        /*  1                1, 2, 4                                       */
        /*  2                1, 2                                          */
        /*  3                same as mode 2                                */
        /*  4                1, 2, 5                                       */
        /*  5                1, 2, 6                                       */
        /*  6, 7             same as mode 2                                */
    
        e1  = CEILING( x1 );
        e2  = FLOOR  ( x2 );
        pxl = e1;
    
        if ( e1 > e2 )
        {
          Int  dropOutControl = left->flags & 7;
    
    
          if ( e1 == e2 + ras.precision )
          {
            switch ( dropOutControl )
            {
            case 0: /* simple drop-outs including stubs */
              pxl = e2;
              break;
    
            case 4: /* smart drop-outs including stubs */
              pxl = SMART( x1, x2 );
              break;
    
            case 1: /* simple drop-outs excluding stubs */
            case 5: /* smart drop-outs excluding stubs  */
    
              /* Drop-out Control Rules #4 and #6 */
    
              /* The specification neither provides an exact definition */
              /* of a `stub' nor gives exact rules to exclude them.     */
              /*                                                        */
              /* Here the constraints we use to recognize a stub.       */
              /*                                                        */
              /*  upper stub:                                           */
              /*                                                        */
              /*   - P_Left and P_Right are in the same contour         */
              /*   - P_Right is the successor of P_Left in that contour */
              /*   - y is the top of P_Left and P_Right                 */
              /*                                                        */
              /*  lower stub:                                           */
              /*                                                        */
              /*   - P_Left and P_Right are in the same contour         */
              /*   - P_Left is the successor of P_Right in that contour */
              /*   - y is the bottom of P_Left                          */
              /*                                                        */
              /* We draw a stub if the following constraints are met.   */
              /*                                                        */
              /*   - for an upper or lower stub, there is top or bottom */
              /*     overshoot, respectively                            */
              /*   - the covered interval is greater or equal to a half */
              /*     pixel                                              */
    
              /* upper stub test */
              if ( left->next == right                &&
                   left->height <= 0                  &&
                   !( left->flags & Overshoot_Top   &&
                      x2 - x1 >= ras.precision_half ) )
                goto Exit;
    
              /* lower stub test */
              if ( right->next == left                 &&
                   left->start == y                    &&
                   !( left->flags & Overshoot_Bottom &&
                      x2 - x1 >= ras.precision_half  ) )
                goto Exit;
    
              if ( dropOutControl == 1 )
                pxl = e2;
              else
                pxl = SMART( x1, x2 );
              break;
    
            default: /* modes 2, 3, 6, 7 */
              goto Exit;  /* no drop-out control */
            }
    
            /* undocumented but confirmed: If the drop-out would result in a  */
            /* pixel outside of the bounding box, use the pixel inside of the */
            /* bounding box instead                                           */
            if ( pxl < 0 )
              pxl = e1;
            else if ( TRUNC( pxl ) >= ras.bWidth )
              pxl = e2;
    
            /* check that the other pixel isn't set */
            e1 = ( pxl == e1 ) ? e2 : e1;
    
            e1 = TRUNC( e1 );
    
            c1 = (Short)( e1 >> 3 );
            f1 = (Short)( e1 &  7 );
    
            if ( e1 >= 0 && e1 < ras.bWidth                      &&
                 ras.bOrigin[ras.traceOfs + c1] & ( 0x80 >> f1 ) )
              goto Exit;
          }
          else
            goto Exit;
        }
    
        e1 = TRUNC( pxl );
    
        if ( e1 >= 0 && e1 < ras.bWidth )
        {
          FT_TRACE7(( " -> x=%ld", e1 ));
    
          c1 = (Short)( e1 >> 3 );
          f1 = (Short)( e1 & 7 );
    
          ras.bOrigin[ras.traceOfs + c1] |= (char)( 0x80 >> f1 );
        }
    
      Exit:
        FT_TRACE7(( " dropout=%d\n", left->flags & 7 ));
      }
    
    
      static void
      Vertical_Sweep_Step( RAS_ARG )
      {
        ras.traceOfs += ras.traceIncr;
      }
    
    
      /************************************************************************
       *
       * Horizontal Sweep Procedure Set
       *
       * These four routines are used during the horizontal black/white
       * sweep phase by the generic Draw_Sweep() function.
       *
       */
    
      static void
      Horizontal_Sweep_Init( RAS_ARGS Short*  min,
                                      Short*  max )
      {
        /* nothing, really */
        FT_UNUSED_RASTER;
        FT_UNUSED( min );
        FT_UNUSED( max );
      }
    
    
      static void
      Horizontal_Sweep_Span( RAS_ARGS Short       y,
                                      FT_F26Dot6  x1,
                                      FT_F26Dot6  x2,
                                      PProfile    left,
                                      PProfile    right )
      {
        Long  e1, e2;
    
        FT_UNUSED( left );
        FT_UNUSED( right );
    
    
        FT_TRACE7(( "  x=%d y=[% .12f;% .12f]",
                    y,
                    x1 / (double)ras.precision,
                    x2 / (double)ras.precision ));
    
        /* We should not need this procedure but the vertical sweep   */
        /* mishandles horizontal lines through pixel centers.  So we  */
        /* have to check perfectly aligned span edges here.           */
        /*                                                            */
        /* XXX: Can we handle horizontal lines better and drop this?  */
    
        e1 = CEILING( x1 );
    
        if ( x1 == e1 )
        {
          e1 = TRUNC( e1 );
    
          if ( e1 >= 0 && (ULong)e1 < ras.target.rows )
          {
            Byte   f1;
            PByte  bits;
    
    
            bits = ras.bOrigin + ( y >> 3 ) - e1 * ras.target.pitch;
            f1   = (Byte)( 0x80 >> ( y & 7 ) );
    
            FT_TRACE7(( bits[0] & f1 ? " redundant"
                                     : " -> y=%ld edge", e1 ));
    
            bits[0] |= f1;
          }
        }
    
        e2 = FLOOR  ( x2 );
    
        if ( x2 == e2 )
        {
          e2 = TRUNC( e2 );
    
          if ( e2 >= 0 && (ULong)e2 < ras.target.rows )
          {
            Byte   f1;
            PByte  bits;
    
    
            bits = ras.bOrigin + ( y >> 3 ) - e2 * ras.target.pitch;
            f1   = (Byte)( 0x80 >> ( y & 7 ) );
    
            FT_TRACE7(( bits[0] & f1 ? " redundant"
                                     : " -> y=%ld edge", e2 ));
    
            bits[0] |= f1;
          }
        }
    
        FT_TRACE7(( "\n" ));
      }
    
    
      static void
      Horizontal_Sweep_Drop( RAS_ARGS Short       y,
                                      FT_F26Dot6  x1,
                                      FT_F26Dot6  x2,
                                      PProfile    left,
                                      PProfile    right )
      {
        Long   e1, e2, pxl;
        PByte  bits;
        Byte   f1;
    
    
        FT_TRACE7(( "  x=%d y=[% .12f;% .12f]",
                    y,
                    x1 / (double)ras.precision,
                    x2 / (double)ras.precision ));
    
        /* During the horizontal sweep, we only take care of drop-outs */
    
        /* e1     +       <-- pixel center */
        /*        |                        */
        /* x1  ---+-->    <-- contour      */
        /*        |                        */
        /*        |                        */
        /* x2  <--+---    <-- contour      */
        /*        |                        */
        /*        |                        */
        /* e2     +       <-- pixel center */
    
        e1  = CEILING( x1 );
        e2  = FLOOR  ( x2 );
        pxl = e1;
    
        if ( e1 > e2 )
        {
          Int  dropOutControl = left->flags & 7;
    
    
          if ( e1 == e2 + ras.precision )
          {
            switch ( dropOutControl )
            {
            case 0: /* simple drop-outs including stubs */
              pxl = e2;
              break;
    
            case 4: /* smart drop-outs including stubs */
              pxl = SMART( x1, x2 );
              break;
    
            case 1: /* simple drop-outs excluding stubs */
            case 5: /* smart drop-outs excluding stubs  */
              /* see Vertical_Sweep_Drop for details */
    
              /* rightmost stub test */
              if ( left->next == right                &&
                   left->height <= 0                  &&
                   !( left->flags & Overshoot_Top   &&
                      x2 - x1 >= ras.precision_half ) )
                goto Exit;
    
              /* leftmost stub test */
              if ( right->next == left                 &&
                   left->start == y                    &&
                   !( left->flags & Overshoot_Bottom &&
                      x2 - x1 >= ras.precision_half  ) )
                goto Exit;
    
              if ( dropOutControl == 1 )
                pxl = e2;
              else
                pxl = SMART( x1, x2 );
              break;
    
            default: /* modes 2, 3, 6, 7 */
              goto Exit;  /* no drop-out control */
            }
    
            /* undocumented but confirmed: If the drop-out would result in a  */
            /* pixel outside of the bounding box, use the pixel inside of the */
            /* bounding box instead                                           */
            if ( pxl < 0 )
              pxl = e1;
            else if ( (ULong)( TRUNC( pxl ) ) >= ras.target.rows )
              pxl = e2;
    
            /* check that the other pixel isn't set */
            e1 = ( pxl == e1 ) ? e2 : e1;
    
            e1 = TRUNC( e1 );
    
            bits = ras.bOrigin + ( y >> 3 ) - e1 * ras.target.pitch;
            f1   = (Byte)( 0x80 >> ( y & 7 ) );
    
            if ( e1 >= 0                     &&
                 (ULong)e1 < ras.target.rows &&
                 *bits & f1                  )
              goto Exit;
          }
          else
            goto Exit;
        }
    
        e1 = TRUNC( pxl );
    
        if ( e1 >= 0 && (ULong)e1 < ras.target.rows )
        {
          FT_TRACE7(( " -> y=%ld", e1 ));
    
          bits  = ras.bOrigin + ( y >> 3 ) - e1 * ras.target.pitch;
          f1    = (Byte)( 0x80 >> ( y & 7 ) );
    
          bits[0] |= f1;
        }
    
      Exit:
        FT_TRACE7(( " dropout=%d\n", left->flags & 7 ));
      }
    
    
      static void
      Horizontal_Sweep_Step( RAS_ARG )
      {
        /* Nothing, really */
        FT_UNUSED_RASTER;
      }
    
    
      /**************************************************************************
       *
       * Generic Sweep Drawing routine
       *
       */
    
      static Bool
      Draw_Sweep( RAS_ARG )
      {
        Short         y, y_change, y_height;
    
        PProfile      P, Q, P_Left, P_Right;
    
        Short         min_Y, max_Y, top, bottom, dropouts;
    
        Long          x1, x2, xs, e1, e2;
    
        TProfileList  waiting;
        TProfileList  draw_left, draw_right;
    
    
        /* initialize empty linked lists */
    
        Init_Linked( &waiting );
    
        Init_Linked( &draw_left  );
        Init_Linked( &draw_right );
    
        /* first, compute min and max Y */
    
        P     = ras.fProfile;
        max_Y = (Short)TRUNC( ras.minY );
        min_Y = (Short)TRUNC( ras.maxY );
    
        while ( P )
        {
          Q = P->link;
    
          bottom = (Short)P->start;
          top    = (Short)( P->start + P->height - 1 );
    
          if ( min_Y > bottom )
            min_Y = bottom;
          if ( max_Y < top )
            max_Y = top;
    
          P->X = 0;
          InsNew( &waiting, P );
    
          P = Q;
        }
    
        /* check the Y-turns */
        if ( ras.numTurns == 0 )
        {
          ras.error = FT_THROW( Invalid );
          return FAILURE;
        }
    
        /* now initialize the sweep */
    
        ras.Proc_Sweep_Init( RAS_VARS &min_Y, &max_Y );
    
        /* then compute the distance of each profile from min_Y */
    
        P = waiting;
    
        while ( P )
        {
          P->countL = P->start - min_Y;
          P = P->link;
        }
    
        /* let's go */
    
        y        = min_Y;
        y_height = 0;
    
        if ( ras.numTurns > 0                     &&
             ras.sizeBuff[-ras.numTurns] == min_Y )
          ras.numTurns--;
    
        while ( ras.numTurns > 0 )
        {
          /* check waiting list for new activations */
    
          P = waiting;
    
          while ( P )
          {
            Q = P->link;
            P->countL -= y_height;
            if ( P->countL == 0 )
            {
              DelOld( &waiting, P );
    
              if ( P->flags & Flow_Up )
                InsNew( &draw_left,  P );
              else
                InsNew( &draw_right, P );
            }
    
            P = Q;
          }
    
          /* sort the drawing lists */
    
          Sort( &draw_left );
          Sort( &draw_right );
    
          y_change = (Short)ras.sizeBuff[-ras.numTurns--];
          y_height = (Short)( y_change - y );
    
          while ( y < y_change )
          {
            /* let's trace */
    
            dropouts = 0;
    
            P_Left  = draw_left;
            P_Right = draw_right;
    
            while ( P_Left && P_Right )
            {
              x1 = P_Left ->X;
              x2 = P_Right->X;
    
              if ( x1 > x2 )
              {
                xs = x1;
                x1 = x2;
                x2 = xs;
              }
    
              e1 = FLOOR( x1 );
              e2 = CEILING( x2 );
    
              if ( x2 - x1 <= ras.precision &&
                   e1 != x1 && e2 != x2     )
              {
                if ( e1 > e2 || e2 == e1 + ras.precision )
                {
                  Int  dropOutControl = P_Left->flags & 7;
    
    
                  if ( dropOutControl != 2 )
                  {
                    /* a drop-out was detected */
    
                    P_Left ->X = x1;
                    P_Right->X = x2;
    
                    /* mark profile for drop-out processing */
                    P_Left->countL = 1;
                    dropouts++;
                  }
    
                  goto Skip_To_Next;
                }
              }
    
              ras.Proc_Sweep_Span( RAS_VARS y, x1, x2, P_Left, P_Right );
    
            Skip_To_Next:
    
              P_Left  = P_Left->link;
              P_Right = P_Right->link;
            }
    
            /* handle drop-outs _after_ the span drawing --       */
            /* drop-out processing has been moved out of the loop */
            /* for performance tuning                             */
            if ( dropouts > 0 )
              goto Scan_DropOuts;
    
          Next_Line:
    
            ras.Proc_Sweep_Step( RAS_VAR );
    
            y++;
    
            if ( y < y_change )
            {
              Sort( &draw_left  );
              Sort( &draw_right );
            }
          }
    
          /* now finalize the profiles that need it */
    
          P = draw_left;
          while ( P )
          {
            Q = P->link;
            if ( P->height == 0 )
              DelOld( &draw_left, P );
            P = Q;
          }
    
          P = draw_right;
          while ( P )
          {
            Q = P->link;
            if ( P->height == 0 )
              DelOld( &draw_right, P );
            P = Q;
          }
        }
    
        /* for gray-scaling, flush the bitmap scanline cache */
        while ( y <= max_Y )
        {
          ras.Proc_Sweep_Step( RAS_VAR );
          y++;
        }
    
        return SUCCESS;
    
      Scan_DropOuts:
    
        P_Left  = draw_left;
        P_Right = draw_right;
    
        while ( P_Left && P_Right )
        {
          if ( P_Left->countL )
          {
            P_Left->countL = 0;
    #if 0
            dropouts--;  /* -- this is useful when debugging only */
    #endif
            ras.Proc_Sweep_Drop( RAS_VARS y,
                                          P_Left->X,
                                          P_Right->X,
                                          P_Left,
                                          P_Right );
          }
    
          P_Left  = P_Left->link;
          P_Right = P_Right->link;
        }
    
        goto Next_Line;
      }
    
    
    #ifdef STANDALONE_
    
      /**************************************************************************
       *
       * The following functions should only compile in stand-alone mode,
       * i.e., when building this component without the rest of FreeType.
       *
       */
    
      /**************************************************************************
       *
       * @Function:
       *   FT_Outline_Get_CBox
       *
       * @Description:
       *   Return an outline's `control box'.  The control box encloses all
       *   the outline's points, including Bézier control points.  Though it
       *   coincides with the exact bounding box for most glyphs, it can be
       *   slightly larger in some situations (like when rotating an outline
       *   that contains Bézier outside arcs).
       *
       *   Computing the control box is very fast, while getting the bounding
       *   box can take much more time as it needs to walk over all segments
       *   and arcs in the outline.  To get the latter, you can use the
       *   `ftbbox' component, which is dedicated to this single task.
       *
       * @Input:
       *   outline ::
       *     A pointer to the source outline descriptor.
       *
       * @Output:
       *   acbox ::
       *     The outline's control box.
       *
       * @Note:
       *   See @FT_Glyph_Get_CBox for a discussion of tricky fonts.
       */
    
      static void
      FT_Outline_Get_CBox( const FT_Outline*  outline,
                           FT_BBox           *acbox )
      {
        Long  xMin, yMin, xMax, yMax;
    
    
        if ( outline && acbox )
        {
          if ( outline->n_points == 0 )
          {
            xMin = 0;
            yMin = 0;
            xMax = 0;
            yMax = 0;
          }
          else
          {
            FT_Vector*  vec   = outline->points;
            FT_Vector*  limit = vec + outline->n_points;
    
    
            xMin = xMax = vec->x;
            yMin = yMax = vec->y;
            vec++;
    
            for ( ; vec < limit; vec++ )
            {
              Long  x, y;
    
    
              x = vec->x;
              if ( x < xMin ) xMin = x;
              if ( x > xMax ) xMax = x;
    
              y = vec->y;
              if ( y < yMin ) yMin = y;
              if ( y > yMax ) yMax = y;
            }
          }
          acbox->xMin = xMin;
          acbox->xMax = xMax;
          acbox->yMin = yMin;
          acbox->yMax = yMax;
        }
      }
    
    #endif /* STANDALONE_ */
    
    
      /**************************************************************************
       *
       * @Function:
       *   Render_Single_Pass
       *
       * @Description:
       *   Perform one sweep with sub-banding.
       *
       * @Input:
       *   flipped ::
       *     If set, flip the direction of the outline.
       *
       * @Return:
       *   Renderer error code.
       */
      static int
      Render_Single_Pass( RAS_ARGS Bool  flipped )
      {
        Short  i, j, k;
    
    
        while ( ras.band_top >= 0 )
        {
          ras.maxY = (Long)ras.band_stack[ras.band_top].y_max * ras.precision;
          ras.minY = (Long)ras.band_stack[ras.band_top].y_min * ras.precision;
    
          ras.top = ras.buff;
    
          ras.error = Raster_Err_None;
    
          if ( Convert_Glyph( RAS_VARS flipped ) )
          {
            if ( ras.error != Raster_Err_Overflow )
              return FAILURE;
    
            ras.error = Raster_Err_None;
    
            /* sub-banding */
    
    #ifdef DEBUG_RASTER
            ClearBand( RAS_VARS TRUNC( ras.minY ), TRUNC( ras.maxY ) );
    #endif
    
            i = ras.band_stack[ras.band_top].y_min;
            j = ras.band_stack[ras.band_top].y_max;
    
            k = (Short)( ( i + j ) / 2 );
    
            if ( ras.band_top >= 7 || k < i )
            {
              ras.band_top = 0;
              ras.error    = FT_THROW( Invalid );
    
              return ras.error;
            }
    
            ras.band_stack[ras.band_top + 1].y_min = k;
            ras.band_stack[ras.band_top + 1].y_max = j;
    
            ras.band_stack[ras.band_top].y_max = (Short)( k - 1 );
    
            ras.band_top++;
          }
          else
          {
            if ( ras.fProfile )
              if ( Draw_Sweep( RAS_VAR ) )
                 return ras.error;
            ras.band_top--;
          }
        }
    
        return SUCCESS;
      }
    
    
      /**************************************************************************
       *
       * @Function:
       *   Render_Glyph
       *
       * @Description:
       *   Render a glyph in a bitmap.  Sub-banding if needed.
       *
       * @Return:
       *   FreeType error code.  0 means success.
       */
      static FT_Error
      Render_Glyph( RAS_ARG )
      {
        FT_Error  error;
    
    
        Set_High_Precision( RAS_VARS ras.outline.flags &
                                     FT_OUTLINE_HIGH_PRECISION );
    
        if ( ras.outline.flags & FT_OUTLINE_IGNORE_DROPOUTS )
          ras.dropOutControl = 2;
        else
        {
          if ( ras.outline.flags & FT_OUTLINE_SMART_DROPOUTS )
            ras.dropOutControl = 4;
          else
            ras.dropOutControl = 0;
    
          if ( !( ras.outline.flags & FT_OUTLINE_INCLUDE_STUBS ) )
            ras.dropOutControl += 1;
        }
    
        ras.second_pass = (Bool)( !( ras.outline.flags      &
                                     FT_OUTLINE_SINGLE_PASS ) );
    
        /* Vertical Sweep */
        FT_TRACE7(( "Vertical pass (ftraster)\n" ));
    
        ras.Proc_Sweep_Init = Vertical_Sweep_Init;
        ras.Proc_Sweep_Span = Vertical_Sweep_Span;
        ras.Proc_Sweep_Drop = Vertical_Sweep_Drop;
        ras.Proc_Sweep_Step = Vertical_Sweep_Step;
    
        ras.band_top            = 0;
        ras.band_stack[0].y_min = 0;
        ras.band_stack[0].y_max = (Short)( ras.target.rows - 1 );
    
        ras.bWidth  = (UShort)ras.target.width;
        ras.bOrigin = (Byte*)ras.target.buffer;
    
        if ( ras.target.pitch > 0 )
          ras.bOrigin += (Long)( ras.target.rows - 1 ) * ras.target.pitch;
    
        if ( ( error = Render_Single_Pass( RAS_VARS 0 ) ) != 0 )
          return error;
    
        /* Horizontal Sweep */
        if ( ras.second_pass && ras.dropOutControl != 2 )
        {
          FT_TRACE7(( "Horizontal pass (ftraster)\n" ));
    
          ras.Proc_Sweep_Init = Horizontal_Sweep_Init;
          ras.Proc_Sweep_Span = Horizontal_Sweep_Span;
          ras.Proc_Sweep_Drop = Horizontal_Sweep_Drop;
          ras.Proc_Sweep_Step = Horizontal_Sweep_Step;
    
          ras.band_top            = 0;
          ras.band_stack[0].y_min = 0;
          ras.band_stack[0].y_max = (Short)( ras.target.width - 1 );
    
          if ( ( error = Render_Single_Pass( RAS_VARS 1 ) ) != 0 )
            return error;
        }
    
        return Raster_Err_None;
      }
    
    
      static void
      ft_black_init( black_PRaster  raster )
      {
        FT_UNUSED( raster );
      }
    
    
      /**** RASTER OBJECT CREATION: In standalone mode, we simply use *****/
      /****                         a static object.                  *****/
    
    
    #ifdef STANDALONE_
    
    
      static int
      ft_black_new( void*       memory,
                    FT_Raster  *araster )
      {
         static black_TRaster  the_raster;
         FT_UNUSED( memory );
    
    
         *araster = (FT_Raster)&the_raster;
         FT_ZERO( &the_raster );
         ft_black_init( &the_raster );
    
         return 0;
      }
    
    
      static void
      ft_black_done( FT_Raster  raster )
      {
        /* nothing */
        FT_UNUSED( raster );
      }
    
    
    #else /* !STANDALONE_ */
    
    
      static int
      ft_black_new( FT_Memory       memory,
                    black_PRaster  *araster )
      {
        FT_Error       error;
        black_PRaster  raster = NULL;
    
    
        *araster = 0;
        if ( !FT_NEW( raster ) )
        {
          raster->memory = memory;
          ft_black_init( raster );
    
          *araster = raster;
        }
    
        return error;
      }
    
    
      static void
      ft_black_done( black_PRaster  raster )
      {
        FT_Memory  memory = (FT_Memory)raster->memory;
    
    
        FT_FREE( raster );
      }
    
    
    #endif /* !STANDALONE_ */
    
    
      static void
      ft_black_reset( FT_Raster  raster,
                      PByte      pool_base,
                      ULong      pool_size )
      {
        FT_UNUSED( raster );
        FT_UNUSED( pool_base );
        FT_UNUSED( pool_size );
      }
    
    
      static int
      ft_black_set_mode( FT_Raster  raster,
                         ULong      mode,
                         void*      args )
      {
        FT_UNUSED( raster );
        FT_UNUSED( mode );
        FT_UNUSED( args );
    
        return 0;
      }
    
    
      static int
      ft_black_render( FT_Raster                raster,
                       const FT_Raster_Params*  params )
      {
        const FT_Outline*  outline    = (const FT_Outline*)params->source;
        const FT_Bitmap*   target_map = params->target;
    
    #ifndef FT_STATIC_RASTER
        black_TWorker  worker[1];
    #endif
    
        Long  buffer[FT_MAX_BLACK_POOL];
    
    
        if ( !raster )
          return FT_THROW( Not_Ini );
    
        if ( !outline )
          return FT_THROW( Invalid );
    
        /* return immediately if the outline is empty */
        if ( outline->n_points == 0 || outline->n_contours <= 0 )
          return Raster_Err_None;
    
        if ( !outline->contours || !outline->points )
          return FT_THROW( Invalid );
    
        if ( outline->n_points !=
               outline->contours[outline->n_contours - 1] + 1 )
          return FT_THROW( Invalid );
    
        /* this version of the raster does not support direct rendering, sorry */
        if ( params->flags & FT_RASTER_FLAG_DIRECT )
          return FT_THROW( Unsupported );
    
        if ( params->flags & FT_RASTER_FLAG_AA )
          return FT_THROW( Unsupported );
    
        if ( !target_map )
          return FT_THROW( Invalid );
    
        /* nothing to do */
        if ( !target_map->width || !target_map->rows )
          return Raster_Err_None;
    
        if ( !target_map->buffer )
          return FT_THROW( Invalid );
    
        ras.outline = *outline;
        ras.target  = *target_map;
    
        ras.buff     = buffer;
        ras.sizeBuff = (&buffer)[1]; /* Points to right after buffer. */
    
        return Render_Glyph( RAS_VAR );
      }
    
    
      FT_DEFINE_RASTER_FUNCS(
        ft_standard_raster,
    
        FT_GLYPH_FORMAT_OUTLINE,
    
        (FT_Raster_New_Func)     ft_black_new,       /* raster_new      */
        (FT_Raster_Reset_Func)   ft_black_reset,     /* raster_reset    */
        (FT_Raster_Set_Mode_Func)ft_black_set_mode,  /* raster_set_mode */
        (FT_Raster_Render_Func)  ft_black_render,    /* raster_render   */
        (FT_Raster_Done_Func)    ft_black_done       /* raster_done     */
      )
    
    
    /* END */