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

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• Hash : cf24d515
  Author :
  Date : 2001-06-18T14:23:45
  

  Minor cleanups to remove compiler warnings. * include/freetype/cache/ftcmanag.h (FTC_MAX_BYTES_DEFAULT): Use `L' for constant. * include/freetype/config/ftoption.h (FT_RENDER_POOL_SIZE): Ditto. * src/base/ftcalc.c (FT_MulDiv): Use `L' for constant. * src/base/ftglyph.c (FT_Glyph_Get_CBox): Remove `error' variable. * src/base/fttrigon.c (ft_trig_arctan_table): Use `L' for constants. * src/base/ftobjs.c (FT_Done_Size): Fix return value. (FT_Set_Char_Size, FT_Set_Pixel_Sizes, FT_Get_Kerning): Remove unused `memory' variable. * src/autohint/ahglyph.c (ah_get_orientation): Use `L' for constant. * src/autohint/ahhint.c (ah_hint_edges_3, ah_hinter_align_edge_points): Remove unused `before' and `after' variables. (ah_hinter_align_weak_points): Remove unused `edge_limit' variable. (ah_hinter_load): Remove unused `new_advance', `start_contour', and `metrics' variables. * src/cff/cffload.c (CFF_Load_Encoding): Remove dead code to avoid compiler warning. * src/cff/cffobjs.c (CFF_Init_Face): Remove unused `base_offset' variable. * src/cff/cffgload.c (CFF_Parse_CharStrings): Remove unused `outline' variable. (cff_compute_bias): Use `U' for constant. * src/cid/cidload.c (cid_decrypt): Ditto. * src/psaux/psobjs.c (T1_Decrypt): Ditto. * src/psaux/t1decode.c (T1_Decoder_Parse_CharStrings): Ditto. * src/sfnt/ttload.c (TT_Load_Kern): Remove unused `version' variable. * src/sfnt/ttsbit.c (TT_Load_SBit_Image): Remove unused `top' variable. * src/truetype/ttgload.c (load_truetype_glyph): Remove unused `num_contours' and `ins_offset' variables. (compute_glyph_metrics): Remove unused `Top' and `x_scale' variables. (TT_Load_Glyph): Remove unused `memory' variable. * src/smooth/ftgrays.c (grays_raster_render): Use `L' for constants.

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• src/base/ftcalc.c

• /***************************************************************************/
  /*                                                                         */
  /*  ftcalc.c                                                               */
  /*                                                                         */
  /*    Arithmetic computations (body).                                      */
  /*                                                                         */
  /*  Copyright 1996-2000 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.                                        */
  /*                                                                         */
  /***************************************************************************/
  
    /*************************************************************************/
    /*                                                                       */
    /* Support for 1-complement arithmetic has been totally dropped in this  */
    /* release.  You can still write your own code if you need it.           */
    /*                                                                       */
    /*************************************************************************/
  
    /*************************************************************************/
    /*                                                                       */
    /* Implementing basic computation routines.                              */
    /*                                                                       */
    /* FT_MulDiv(), FT_MulFix(), FT_DivFix(), FT_RoundFix(), FT_CeilFix(),   */
    /* and FT_FloorFix() are declared in freetype.h.                         */
    /*                                                                       */
    /*************************************************************************/
  
  
  #include <ft2build.h>
  #include FT_INTERNAL_CALC_H
  #include FT_INTERNAL_DEBUG_H
  #include FT_INTERNAL_OBJECTS_H
  
  
  /* we need to define a 64-bits data type here */
  #ifndef FT_CONFIG_OPTION_OLD_CALCS
  
  #ifdef FT_LONG64
  
    typedef FT_INT64  FT_Int64;
  
  #else
  
    typedef struct  FT_Int64_
    {
      FT_UInt32  lo;
      FT_UInt32  hi;
  
    } FT_Int64;
  
  #endif /* FT_LONG64 */
  
  #endif /* !FT_CONFIG_OPTION_OLD_CALCS */
  
  
    /*************************************************************************/
    /*                                                                       */
    /* 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  trace_calc
  
  
    /* The following three functions are available regardless of whether */
    /* FT_LONG64 or FT_CONFIG_OPTION_OLD_CALCS is defined.               */
  
    /* documentation is in freetype.h */
  
    FT_EXPORT_DEF( FT_Fixed )  FT_RoundFix( FT_Fixed  a )
    {
      return ( a >= 0 ) ?   ( a + 0x8000L ) & -0x10000L
                        : -((-a + 0x8000L ) & -0x10000L );
    }
  
  
    /* documentation is in freetype.h */
  
    FT_EXPORT_DEF( FT_Fixed )  FT_CeilFix( FT_Fixed  a )
    {
      return ( a >= 0 ) ?   ( a + 0xFFFFL ) & -0x10000L
                        : -((-a + 0xFFFFL ) & -0x10000L );
    }
  
  
    /* documentation is in freetype.h */
  
    FT_EXPORT_DEF( FT_Fixed )  FT_FloorFix( FT_Fixed  a )
    {
      return ( a >= 0 ) ?   a & -0x10000L
                        : -((-a) & -0x10000L );
    }
  
  
  #ifdef FT_CONFIG_OPTION_OLD_CALCS
  
    static const FT_Long  ft_square_roots[63] =
    {
         1L,    1L,    2L,     3L,     4L,     5L,     8L,    11L,
        16L,   22L,   32L,    45L,    64L,    90L,   128L,   181L,
       256L,  362L,  512L,   724L,  1024L,  1448L,  2048L,  2896L,
      4096L, 5892L, 8192L, 11585L, 16384L, 23170L, 32768L, 46340L,
  
        65536L,   92681L,  131072L,   185363L,   262144L,   370727L,
       524288L,  741455L, 1048576L,  1482910L,  2097152L,  2965820L,
      4194304L, 5931641L, 8388608L, 11863283L, 16777216L, 23726566L,
  
        33554432L,   47453132L,   67108864L,   94906265L,
       134217728L,  189812531L,  268435456L,  379625062L,
       536870912L,  759250125L, 1073741824L, 1518500250L,
      2147483647L
    };
  
  #else
  
    /* documentation is in ftcalc.h */
  
    FT_EXPORT_DEF( FT_Int32 )  FT_Sqrt32( FT_Int32  x )
    {
      FT_ULong  val, root, newroot, mask;
  
  
      root = 0;
      mask = 0x40000000L;
      val  = (FT_ULong)x;
  
      do
      {
        newroot = root + mask;
        if ( newroot <= val )
        {
          val -= newroot;
          root = newroot + mask;
        }
  
        root >>= 1;
        mask >>= 2;
  
      } while ( mask != 0 );
  
      return root;
    }
  
  #endif /* FT_CONFIG_OPTION_OLD_CALCS */
  
  
  #ifdef FT_LONG64
  
    /* documentation is in freetype.h */
  
    FT_EXPORT_DEF( FT_Long )  FT_MulDiv( FT_Long  a,
                                         FT_Long  b,
                                         FT_Long  c )
    {
      FT_Int   s;
      FT_Long  d;
  
  
      s = 1;
      if ( a < 0 ) { a = -a; s = -1; }
      if ( b < 0 ) { b = -b; s = -s; }
      if ( c < 0 ) { c = -c; s = -s; }
  
      d = (FT_Long)( c > 0 ? ( (FT_Int64)a * b + ( c >> 1 ) ) / c
                  : 0x7FFFFFFFL );
  
      return ( s > 0 ) ? d : -d;
    }
  
  
    /* documentation is in freetype.h */
  
    FT_EXPORT_DEF( FT_Long )  FT_MulFix( FT_Long  a,
                                         FT_Long  b )
    {
      FT_Int   s = 1;
      FT_Long  c;
  
  
      if ( a < 0 ) { a = -a; s = -1; }
      if ( b < 0 ) { b = -b; s = -s; }
  
      c = (FT_Long)( ( (FT_Int64)a * b + 0x8000 ) >> 16 );
      return ( s > 0 ) ? c : -c ;
    }
  
  
    /* documentation is in freetype.h */
  
    FT_EXPORT_DEF( FT_Long )  FT_DivFix( FT_Long  a,
                                         FT_Long  b )
    {
      FT_Int32   s;
      FT_UInt32  q;
  
      s = 1;
      if ( a < 0 ) { a = -a; s = -1; }
      if ( b < 0 ) { b = -b; s = -s; }
  
      if ( b == 0 )
        /* check for division by 0 */
        q = 0x7FFFFFFFL;
      else
        /* compute result directly */
        q = (FT_UInt32)( ( ( (FT_Int64)a << 16 ) + ( b >> 1 ) ) / b );
  
      return ( s < 0 ? -(FT_Long)q : (FT_Long)q );
    }
  
  
  #ifdef FT_CONFIG_OPTION_OLD_CALCS
  
    /* a helper function for FT_Sqrt64() */
  
    static
    int  ft_order64( FT_Int64  z )
    {
      int  j = 0;
  
  
      while ( z )
      {
        z = (unsigned FT_INT64)z >> 1;
        j++;
      }
      return j - 1;
    }
  
  
    /* documentation is in ftcalc.h */
  
    FT_EXPORT_DEF( FT_Int32 )  FT_Sqrt64( FT_Int64  l )
    {
      FT_Int64  r, s;
  
  
      if ( l <= 0 ) return 0;
      if ( l == 1 ) return 1;
  
      r = ft_square_roots[ft_order64( l )];
  
      do
      {
        s = r;
        r = ( r + l / r ) >> 1;
  
      } while ( r > s || r * r > l );
  
      return (FT_Int32)r;
    }
  
  #endif /* FT_CONFIG_OPTION_OLD_CALCS */
  
  
  #else /* FT_LONG64 */
  
  
    static void
    ft_multo64( FT_UInt32  x,
                FT_UInt32  y,
                FT_Int64  *z )
    {
      FT_UInt32  lo1, hi1, lo2, hi2, lo, hi, i1, i2;
  
  
      lo1 = x & 0x0000FFFFU;  hi1 = x >> 16;
      lo2 = y & 0x0000FFFFU;  hi2 = y >> 16;
  
      lo = lo1 * lo2;
      i1 = lo1 * hi2;
      i2 = lo2 * hi1;
      hi = hi1 * hi2;
  
      /* Check carry overflow of i1 + i2 */
      i1 += i2;
      hi += (FT_UInt32)( i1 < i2 ) << 16;
  
      hi += i1 >> 16;
      i1  = i1 << 16;
  
      /* Check carry overflow of i1 + lo */
      lo += i1;
      hi += ( lo < i1 );
  
      z->lo = lo;
      z->hi = hi;
    }
  
  
    static FT_UInt32
    ft_div64by32( FT_UInt32  hi,
                  FT_UInt32  lo,
                  FT_UInt32  y )
    {
      FT_UInt  r, q;
      FT_Int   i;
  
  
      q = 0;
      r = hi;
  
      if ( r >= y )
        return (FT_UInt32)0x7FFFFFFFL;
  
      i = 32;
      do
      {
        r <<= 1;
        q <<= 1;
        r  |= lo >> 31;
  
        if ( r >= (FT_UInt32)y )
        {
          r -= y;
          q |= 1;
        }
        lo <<= 1;
      } while ( --i );
  
      return q;
    }
  
  
    /* documentation is in ftcalc.h */
  
    FT_EXPORT_DEF( void )  FT_Add64( FT_Int64*  x,
                                     FT_Int64*  y,
                                     FT_Int64  *z )
    {
      register FT_UInt32  lo, hi, max;
  
  
      max = x->lo > y->lo ? x->lo : y->lo;
      lo  = x->lo + y->lo;
      hi  = x->hi + y->hi + ( lo < max );
  
      z->lo = lo;
      z->hi = hi;
    }
  
  
    /* documentation is in freetype.h */
  
    FT_EXPORT_DEF( FT_Long )  FT_MulDiv( FT_Long  a,
                                         FT_Long  b,
                                         FT_Long  c )
    {
      long  s;
  
  
      if ( a == 0 || b == c )
        return a;
  
      s  = a; a = ABS( a );
      s ^= b; b = ABS( b );
      s ^= c; c = ABS( c );
  
      if ( a <= 46340L && b <= 46340L && c <= 176095L && c > 0 )
      {
        a = ( a * b + ( c >> 1 ) ) / c;
      }
      else if ( c > 0 )
      {
        FT_Int64  temp, temp2;
  
  
        ft_multo64( a, b, &temp );
  
        temp2.hi = 0;
        temp2.lo = (FT_UInt32)(c >> 1);
        FT_Add64( &temp, &temp2, &temp );
        a = ft_div64by32( temp.hi, temp.lo, b );
      }
      else
        a = 0x7FFFFFFFL;
  
      return ( s < 0 ? -a : a );
    }
  
  
    /* documentation is in freetype.h */
  
    FT_EXPORT_DEF( FT_Long )  FT_MulFix( FT_Long  a,
                                         FT_Long  b )
    {
      FT_Long   s;
      FT_ULong  ua, ub;
  
  
      if ( a == 0 || b == 0x10000L )
        return a;
  
      s  = a; a = ABS(a);
      s ^= b; b = ABS(b);
  
      ua = (FT_ULong)a;
      ub = (FT_ULong)b;
  
      if ( ua <= 2048 && ub <= 1048576L )
      {
        ua = ( ua * ub + 0x8000 ) >> 16;
      }
      else
      {
        FT_ULong  al = ua & 0xFFFF;
  
  
        ua = ( ua >> 16 ) * ub +  al * ( ub >> 16 ) +
             ( ( al * ( ub & 0xFFFF ) + 0x8000 ) >> 16 );
      }
  
      return ( s < 0 ? -(FT_Long)ua : ua );
    }
  
  
    /* documentation is in freetype.h */
  
    FT_EXPORT_DEF( FT_Long )  FT_DivFix( FT_Long  a,
                                         FT_Long  b )
    {
      FT_Int32   s;
      FT_UInt32  q;
  
  
      s  = a; a = ABS(a);
      s ^= b; b = ABS(b);
  
      if ( b == 0 )
      {
        /* check for division by 0 */
        q = 0x7FFFFFFFL;
      }
      else if ( ( a >> 16 ) == 0 )
      {
        /* compute result directly */
        q = (FT_UInt32)( (a << 16) + (b >> 1) ) / (FT_UInt32)b;
      }
      else
      {
        /* we need more bits; we have to do it by hand */
        FT_Int64  temp, temp2;
  
        temp.hi  = (FT_Int32) (a >> 16);
        temp.lo  = (FT_UInt32)(a << 16);
        temp2.hi = 0;
        temp2.lo = (FT_UInt32)( b >> 1 );
        FT_Add64( &temp, &temp2, &temp );
        q = ft_div64by32( temp.hi, temp.lo, b );
      }
  
      return ( s < 0 ? -(FT_Int32)q : (FT_Int32)q );
    }
  
  
    /* documentation is in ftcalc.h */
  
    FT_EXPORT_DEF( void )  FT_MulTo64( FT_Int32   x,
                                       FT_Int32   y,
                                       FT_Int64  *z )
    {
      FT_Int32  s;
  
  
      s  = x; x = ABS( x );
      s ^= y; y = ABS( y );
  
      ft_multo64( x, y, z );
  
      if ( s < 0 )
      {
        z->lo = (FT_UInt32)-(FT_Int32)z->lo;
        z->hi = ~z->hi + !( z->lo );
      }
    }
  
  
    /* documentation is in ftcalc.h */
  
    FT_EXPORT_DEF( FT_Int32 )  FT_Div64by32( FT_Int64*  x,
                                             FT_Int32   y )
    {
      FT_Int32   s;
      FT_UInt32  q;
  
  
      s  = x->hi;
      if ( s < 0 )
      {
        x->lo = (FT_UInt32)-(FT_Int32)x->lo;
        x->hi = ~x->hi + !( x->lo );
      }
      s ^= y;  y = ABS( y );
  
      /* Shortcut */
      if ( x->hi == 0 )
      {
        if ( y > 0 )
          q = ( x->lo + ( y >> 1 ) ) / y;
        else
          q = 0x7FFFFFFFL;
  
        return ( s < 0 ? -(FT_Int32)q : (FT_Int32)q );
      }
  
      q = ft_div64by32( x->hi, x->lo, y );
  
      return ( s < 0 ? -(FT_Int32)q : (FT_Int32)q );
    }
  
  
  #ifdef FT_CONFIG_OPTION_OLD_CALCS
  
  
    /* two helper functions for FT_Sqrt64() */
  
    static
    void  FT_Sub64( FT_Int64*  x,
                    FT_Int64*  y,
                    FT_Int64*  z )
    {
      register FT_UInt32  lo, hi;
  
  
      lo = x->lo - y->lo;
      hi = x->hi - y->hi - ( (FT_Int32)lo < 0 );
  
      z->lo = lo;
      z->hi = hi;
    }
  
  
    static
    int  ft_order64( FT_Int64*  z )
    {
      FT_UInt32  i;
      int        j;
  
  
      i = z->lo;
      j = 0;
      if ( z->hi )
      {
        i = z->hi;
        j = 32;
      }
  
      while ( i > 0 )
      {
        i >>= 1;
        j++;
      }
      return j - 1;
    }
  
  
    /* documentation is in ftcalc.h */
  
    FT_EXPORT_DEF( FT_Int32 )  FT_Sqrt64( FT_Int64*  l )
    {
      FT_Int64  l2;
      FT_Int32  r, s;
  
  
      if ( (FT_Int32)l->hi < 0          ||
           ( l->hi == 0 && l->lo == 0 ) )
        return 0;
  
      s = ft_order64( l );
      if ( s == 0 )
        return 1;
  
      r = ft_square_roots[s];
      do
      {
        s = r;
        r = ( r + FT_Div64by32( l, r ) ) >> 1;
        FT_MulTo64( r, r,   &l2 );
        FT_Sub64  ( l, &l2, &l2 );
  
      } while ( r > s || (FT_Int32)l2.hi < 0 );
  
      return r;
    }
  
  
  #endif /* FT_CONFIG_OPTION_OLD_CALCS */
  
  
  #endif /* FT_LONG64 */
  
  
    /* a not-so-fast but working 16.16 fixed point square root function */
  
    FT_EXPORT_DEF( FT_Int32 )  FT_SqrtFixed( FT_Int32  x )
    {
      FT_UInt32  root, rem_hi, rem_lo, test_div;
      FT_Int     count;
  
  
      root = 0;
  
      if ( x > 0 )
      {
        rem_hi = 0;
        rem_lo = x;
        count  = 24;
        do
        {
          rem_hi   = ( rem_hi << 2 ) | ( rem_lo >> 30 );
          rem_lo <<= 2;
          root   <<= 1;
          test_div = ( root << 1 ) + 1;
  
          if ( rem_hi >= test_div )
          {
            rem_hi -= test_div;
            root   += 1;
          }
        } while ( --count );
      }
  
      return (FT_Int32)root;
    }
  
  
  /* END */
  

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