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-rw-r--r--src/base/ftcalc.c825
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diff --git a/src/base/ftcalc.c b/src/base/ftcalc.c
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--- a/src/base/ftcalc.c
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@@ -1,825 +0,0 @@
-/***************************************************************************/
-/* */
-/* ftcalc.c */
-/* */
-/* Arithmetic computations (body). */
-/* */
-/* Copyright 1996-2001, 2002, 2003, 2004, 2005, 2006, 2008 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
-
-#ifdef FT_MULFIX_INLINED
-#undef FT_MulFix
-#endif
-
-/* we need to define a 64-bits data type here */
-
-#ifdef FT_LONG64
-
- typedef FT_INT64 FT_Int64;
-
-#else
-
- typedef struct FT_Int64_
- {
- FT_UInt32 lo;
- FT_UInt32 hi;
-
- } FT_Int64;
-
-#endif /* FT_LONG64 */
-
-
- /*************************************************************************/
- /* */
- /* 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 is defined. */
-
- /* documentation is in freetype.h */
-
- FT_EXPORT_DEF( FT_Fixed )
- FT_RoundFix( FT_Fixed a )
- {
- return ( a >= 0 ) ? ( a + 0x8000L ) & ~0xFFFFL
- : -((-a + 0x8000L ) & ~0xFFFFL );
- }
-
-
- /* documentation is in freetype.h */
-
- FT_EXPORT_DEF( FT_Fixed )
- FT_CeilFix( FT_Fixed a )
- {
- return ( a >= 0 ) ? ( a + 0xFFFFL ) & ~0xFFFFL
- : -((-a + 0xFFFFL ) & ~0xFFFFL );
- }
-
-
- /* documentation is in freetype.h */
-
- FT_EXPORT_DEF( FT_Fixed )
- FT_FloorFix( FT_Fixed a )
- {
- return ( a >= 0 ) ? a & ~0xFFFFL
- : -((-a) & ~0xFFFFL );
- }
-
-
-#ifdef FT_CONFIG_OPTION_OLD_INTERNALS
-
- /* 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_INTERNALS */
-
-
-#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;
- }
-
-
-#ifdef TT_USE_BYTECODE_INTERPRETER
-
- /* documentation is in ftcalc.h */
-
- FT_BASE_DEF( FT_Long )
- FT_MulDiv_No_Round( 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
- : 0x7FFFFFFFL );
-
- return ( s > 0 ) ? d : -d;
- }
-
-#endif /* TT_USE_BYTECODE_INTERPRETER */
-
-
- /* documentation is in freetype.h */
-
- FT_EXPORT_DEF( FT_Long )
- FT_MulFix( FT_Long a,
- FT_Long b )
- {
-#ifdef FT_MULFIX_ASSEMBLER
- return FT_MULFIX_ASSEMBLER(a,b);
-#else
- 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 + 0x8000L ) >> 16 );
- return ( s > 0 ) ? c : -c ;
-#endif
- }
-
-
- /* 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 );
- }
-
-
-#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_UInt32 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;
- }
-
-
- static void
- FT_Add64( FT_Int64* x,
- FT_Int64* y,
- FT_Int64 *z )
- {
- register FT_UInt32 lo, hi;
-
-
- lo = x->lo + y->lo;
- hi = x->hi + y->hi + ( lo < x->lo );
-
- z->lo = lo;
- z->hi = hi;
- }
-
-
- /* documentation is in freetype.h */
-
- /* The FT_MulDiv function has been optimized thanks to ideas from */
- /* Graham Asher. The trick is to optimize computation when everything */
- /* fits within 32-bits (a rather common case). */
- /* */
- /* we compute 'a*b+c/2', then divide it by 'c'. (positive values) */
- /* */
- /* 46340 is FLOOR(SQRT(2^31-1)). */
- /* */
- /* if ( a <= 46340 && b <= 46340 ) then ( a*b <= 0x7FFEA810 ) */
- /* */
- /* 0x7FFFFFFF - 0x7FFEA810 = 0x157F0 */
- /* */
- /* if ( c < 0x157F0*2 ) then ( a*b+c/2 <= 0x7FFFFFFF ) */
- /* */
- /* and 2*0x157F0 = 176096 */
- /* */
-
- 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 = FT_ABS( a );
- s ^= b; b = FT_ABS( b );
- s ^= c; c = FT_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, c );
- }
- else
- a = 0x7FFFFFFFL;
-
- return ( s < 0 ? -a : a );
- }
-
-
-#ifdef TT_USE_BYTECODE_INTERPRETER
-
- FT_BASE_DEF( FT_Long )
- FT_MulDiv_No_Round( FT_Long a,
- FT_Long b,
- FT_Long c )
- {
- long s;
-
-
- if ( a == 0 || b == c )
- return a;
-
- s = a; a = FT_ABS( a );
- s ^= b; b = FT_ABS( b );
- s ^= c; c = FT_ABS( c );
-
- if ( a <= 46340L && b <= 46340L && c > 0 )
- a = a * b / c;
-
- else if ( c > 0 )
- {
- FT_Int64 temp;
-
-
- ft_multo64( a, b, &temp );
- a = ft_div64by32( temp.hi, temp.lo, c );
- }
- else
- a = 0x7FFFFFFFL;
-
- return ( s < 0 ? -a : a );
- }
-
-#endif /* TT_USE_BYTECODE_INTERPRETER */
-
-
- /* documentation is in freetype.h */
-
- FT_EXPORT_DEF( FT_Long )
- FT_MulFix( FT_Long a,
- FT_Long b )
- {
-#ifdef FT_MULFIX_ASSEMBLER
- return FT_MULFIX_ASSEMBLER(a,b);
-#else
- FT_Long sa, sb;
- FT_ULong ua, ub;
-
-
- if ( a == 0 || b == 0x10000L )
- return a;
-
- sa = ( a >> ( sizeof ( a ) * 8 - 1 ) );
- a = ( a ^ sa ) - sa;
- sb = ( b >> ( sizeof ( b ) * 8 - 1 ) );
- b = ( b ^ sb ) - sb;
-
- ua = (FT_ULong)a;
- ub = (FT_ULong)b;
-
- if ( ua <= 2048 && ub <= 1048576L )
- ua = ( ua * ub + 0x8000U ) >> 16;
- else
- {
- FT_ULong al = ua & 0xFFFFU;
-
-
- ua = ( ua >> 16 ) * ub + al * ( ub >> 16 ) +
- ( ( al * ( ub & 0xFFFFU ) + 0x8000U ) >> 16 );
- }
-
- sa ^= sb,
- ua = (FT_ULong)(( ua ^ sa ) - sa);
-
- return (FT_Long)ua;
-#endif
- }
-
-
- /* 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 = FT_ABS(a);
- s ^= b; b = FT_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 );
- }
-
-
-#if 0
-
- /* 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 = FT_ABS( x );
- s ^= y; y = FT_ABS( y );
-
- ft_multo64( x, y, z );
-
- if ( s < 0 )
- {
- z->lo = (FT_UInt32)-(FT_Int32)z->lo;
- z->hi = ~z->hi + !( z->lo );
- }
- }
-
-
- /* apparently, the second version of this code is not compiled correctly */
- /* on Mac machines with the MPW C compiler.. tsk, tsk, tsk... */
-
-#if 1
-
- FT_EXPORT_DEF( FT_Int32 )
- FT_Div64by32( FT_Int64* x,
- FT_Int32 y )
- {
- FT_Int32 s;
- FT_UInt32 q, r, i, lo;
-
-
- s = x->hi;
- if ( s < 0 )
- {
- x->lo = (FT_UInt32)-(FT_Int32)x->lo;
- x->hi = ~x->hi + !x->lo;
- }
- s ^= y; y = FT_ABS( y );
-
- /* Shortcut */
- if ( x->hi == 0 )
- {
- if ( y > 0 )
- q = x->lo / y;
- else
- q = 0x7FFFFFFFL;
-
- return ( s < 0 ? -(FT_Int32)q : (FT_Int32)q );
- }
-
- r = x->hi;
- lo = x->lo;
-
- if ( r >= (FT_UInt32)y ) /* we know y is to be treated as unsigned here */
- return ( s < 0 ? 0x80000001UL : 0x7FFFFFFFUL );
- /* Return Max/Min Int32 if division overflow. */
- /* This includes division by zero! */
- q = 0;
- for ( i = 0; i < 32; i++ )
- {
- r <<= 1;
- q <<= 1;
- r |= lo >> 31;
-
- if ( r >= (FT_UInt32)y )
- {
- r -= y;
- q |= 1;
- }
- lo <<= 1;
- }
-
- return ( s < 0 ? -(FT_Int32)q : (FT_Int32)q );
- }
-
-#else /* 0 */
-
- 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 = FT_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 );
- }
-
-#endif /* 0 */
-
-#endif /* 0 */
-
-
-#endif /* FT_LONG64 */
- /* documentation is in ftcalc.h */
-
- FT_BASE_DEF( void )
- FT_Matrix_Multiply_Scaled( const FT_Matrix* a,
- FT_Matrix *b,
- FT_Long scaling )
- {
- FT_Fixed xx, xy, yx, yy;
-
- FT_Long val = 0x10000L * scaling;
-
-
- if ( !a || !b )
- return;
-
- xx = FT_MulDiv( a->xx, b->xx, val ) + FT_MulDiv( a->xy, b->yx, val );
- xy = FT_MulDiv( a->xx, b->xy, val ) + FT_MulDiv( a->xy, b->yy, val );
- yx = FT_MulDiv( a->yx, b->xx, val ) + FT_MulDiv( a->yy, b->yx, val );
- yy = FT_MulDiv( a->yx, b->xy, val ) + FT_MulDiv( a->yy, b->yy, val );
-
- b->xx = xx; b->xy = xy;
- b->yx = yx; b->yy = yy;
- }
-
-
- /* documentation is in ftcalc.h */
-
- FT_BASE_DEF( void )
- FT_Vector_Transform_Scaled( FT_Vector* vector,
- const FT_Matrix* matrix,
- FT_Long scaling )
- {
- FT_Pos xz, yz;
-
- FT_Long val = 0x10000L * scaling;
-
-
- if ( !vector || !matrix )
- return;
-
- xz = FT_MulDiv( vector->x, matrix->xx, val ) +
- FT_MulDiv( vector->y, matrix->xy, val );
-
- yz = FT_MulDiv( vector->x, matrix->yx, val ) +
- FT_MulDiv( vector->y, matrix->yy, val );
-
- vector->x = xz;
- vector->y = yz;
- }
-
-
- /* documentation is in ftcalc.h */
-
- FT_BASE_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;
- }
-
-
- /* documentation is in ftcalc.h */
-
- FT_BASE_DEF( FT_Int )
- ft_corner_orientation( FT_Pos in_x,
- FT_Pos in_y,
- FT_Pos out_x,
- FT_Pos out_y )
- {
- FT_Int result;
-
-
- /* deal with the trivial cases quickly */
- if ( in_y == 0 )
- {
- if ( in_x >= 0 )
- result = out_y;
- else
- result = -out_y;
- }
- else if ( in_x == 0 )
- {
- if ( in_y >= 0 )
- result = -out_x;
- else
- result = out_x;
- }
- else if ( out_y == 0 )
- {
- if ( out_x >= 0 )
- result = in_y;
- else
- result = -in_y;
- }
- else if ( out_x == 0 )
- {
- if ( out_y >= 0 )
- result = -in_x;
- else
- result = in_x;
- }
- else /* general case */
- {
-#ifdef FT_LONG64
-
- FT_Int64 delta = (FT_Int64)in_x * out_y - (FT_Int64)in_y * out_x;
-
-
- if ( delta == 0 )
- result = 0;
- else
- result = 1 - 2 * ( delta < 0 );
-
-#else
-
- FT_Int64 z1, z2;
-
-
- ft_multo64( in_x, out_y, &z1 );
- ft_multo64( in_y, out_x, &z2 );
-
- if ( z1.hi > z2.hi )
- result = +1;
- else if ( z1.hi < z2.hi )
- result = -1;
- else if ( z1.lo > z2.lo )
- result = +1;
- else if ( z1.lo < z2.lo )
- result = -1;
- else
- result = 0;
-
-#endif
- }
-
- return result;
- }
-
-
- /* documentation is in ftcalc.h */
-
- FT_BASE_DEF( FT_Int )
- ft_corner_is_flat( FT_Pos in_x,
- FT_Pos in_y,
- FT_Pos out_x,
- FT_Pos out_y )
- {
- FT_Pos ax = in_x;
- FT_Pos ay = in_y;
-
- FT_Pos d_in, d_out, d_corner;
-
-
- if ( ax < 0 )
- ax = -ax;
- if ( ay < 0 )
- ay = -ay;
- d_in = ax + ay;
-
- ax = out_x;
- if ( ax < 0 )
- ax = -ax;
- ay = out_y;
- if ( ay < 0 )
- ay = -ay;
- d_out = ax + ay;
-
- ax = out_x + in_x;
- if ( ax < 0 )
- ax = -ax;
- ay = out_y + in_y;
- if ( ay < 0 )
- ay = -ay;
- d_corner = ax + ay;
-
- return ( d_in + d_out - d_corner ) < ( d_corner >> 4 );
- }
-
-
-/* END */
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