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745 lines
17 KiB
745 lines
17 KiB
5 years ago
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/*
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File: GXMath.h
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Contains: QuickDraw GX math routine interfaces.
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Version: Technology: Quickdraw GX 1.1
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Release: QuickTime 7.3
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Copyright: (c) 2007 (c) 1994-2006 by Apple Computer, Inc., all rights reserved.
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Bugs?: For bug reports, consult the following page on
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the World Wide Web:
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http://developer.apple.com/bugreporter/
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*/
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#ifndef __GXMATH__
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#define __GXMATH__
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#ifndef __CONDITIONALMACROS__
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#include <ConditionalMacros.h>
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#endif
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#ifndef __MACTYPES__
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#include <MacTypes.h>
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#endif
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#ifndef __FIXMATH__
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#include <FixMath.h>
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#endif
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#ifndef __IMAGECODEC__
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#include <ImageCodec.h>
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#endif
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#if PRAGMA_ONCE
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#pragma once
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#endif
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#ifdef __cplusplus
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extern "C" {
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#endif
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#if PRAGMA_IMPORT
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#pragma import on
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#endif
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#if PRAGMA_STRUCT_ALIGN
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#pragma options align=mac68k
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#elif PRAGMA_STRUCT_PACKPUSH
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#pragma pack(push, 2)
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#elif PRAGMA_STRUCT_PACK
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#pragma pack(2)
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#endif
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#if defined(__MWERKS__) && TARGET_CPU_68K
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#pragma push
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#pragma pointers_in_D0
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#endif
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/* Now defined in ImageCodec.i*/
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#if 0
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struct gxPoint {
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Fixed x;
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Fixed y;
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};
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typedef struct gxPoint gxPoint;
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#endif /* 0 */
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typedef unsigned short gxColorValue;
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struct gxPolar {
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Fixed radius;
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Fixed angle;
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};
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typedef struct gxPolar gxPolar;
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struct gxMapping {
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Fixed map[3][3];
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};
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typedef struct gxMapping gxMapping;
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#define gxColorValue1 ((gxColorValue) 0x0000FFFF)
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#define gxPositiveInfinity ((long) 0x7FFFFFFFL)
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#define gxNegativeInfinity ((long) 0x80000000L)
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#if CALL_NOT_IN_CARBON
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/*
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* CopyToMapping()
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*
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* Availability:
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* Non-Carbon CFM: not available
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* CarbonLib: not available
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* Mac OS X: not available
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*/
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EXTERN_API_C( gxMapping * )
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CopyToMapping(
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gxMapping * target,
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const gxMapping * source) THREEWORDINLINE(0x303C, 0x0031, 0xA832);
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/*
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* InvertMapping()
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*
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* Availability:
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* Non-Carbon CFM: not available
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* CarbonLib: not available
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* Mac OS X: not available
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*/
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EXTERN_API_C( gxMapping * )
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InvertMapping(
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gxMapping * target,
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const gxMapping * source) THREEWORDINLINE(0x303C, 0x0032, 0xA832);
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/*
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* MapMapping()
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*
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* Availability:
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* Non-Carbon CFM: not available
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* CarbonLib: not available
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* Mac OS X: not available
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*/
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EXTERN_API_C( gxMapping * )
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MapMapping(
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gxMapping * target,
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const gxMapping * source) THREEWORDINLINE(0x303C, 0x0033, 0xA832);
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/*
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* MoveMapping()
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*
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* Availability:
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* Non-Carbon CFM: not available
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* CarbonLib: not available
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* Mac OS X: not available
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*/
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EXTERN_API_C( gxMapping * )
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MoveMapping(
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gxMapping * target,
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Fixed hOffset,
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Fixed vOffset) THREEWORDINLINE(0x303C, 0x0034, 0xA832);
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/*
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* MoveMappingTo()
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*
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* Availability:
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* Non-Carbon CFM: not available
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* CarbonLib: not available
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* Mac OS X: not available
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*/
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EXTERN_API_C( gxMapping * )
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MoveMappingTo(
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gxMapping * target,
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Fixed hPosition,
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Fixed vPosition) THREEWORDINLINE(0x303C, 0x0035, 0xA832);
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/*
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* NormalizeMapping()
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*
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* Availability:
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* Non-Carbon CFM: not available
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* CarbonLib: not available
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* Mac OS X: not available
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*/
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EXTERN_API_C( gxMapping * )
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NormalizeMapping(gxMapping * target) THREEWORDINLINE(0x303C, 0x0036, 0xA832);
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/*
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* RotateMapping()
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*
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* Availability:
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* Non-Carbon CFM: not available
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* CarbonLib: not available
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* Mac OS X: not available
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*/
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EXTERN_API_C( gxMapping * )
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RotateMapping(
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gxMapping * target,
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Fixed angle,
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Fixed xCenter,
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Fixed yCenter) THREEWORDINLINE(0x303C, 0x0037, 0xA832);
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/*
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* ScaleMapping()
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*
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* Availability:
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* Non-Carbon CFM: not available
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* CarbonLib: not available
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* Mac OS X: not available
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*/
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EXTERN_API_C( gxMapping * )
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ScaleMapping(
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gxMapping * target,
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Fixed hFactor,
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Fixed vFactor,
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Fixed xCenter,
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Fixed yCenter) THREEWORDINLINE(0x303C, 0x0038, 0xA832);
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/*
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* ResetMapping()
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*
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* Availability:
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* Non-Carbon CFM: not available
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* CarbonLib: not available
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* Mac OS X: not available
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*/
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EXTERN_API_C( gxMapping * )
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ResetMapping(gxMapping * target) THREEWORDINLINE(0x303C, 0x0039, 0xA832);
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/*
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* SkewMapping()
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*
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* Availability:
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* Non-Carbon CFM: not available
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* CarbonLib: not available
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* Mac OS X: not available
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*/
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EXTERN_API_C( gxMapping * )
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SkewMapping(
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gxMapping * target,
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Fixed skewX,
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Fixed skewY,
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Fixed xCenter,
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Fixed yCenter) THREEWORDINLINE(0x303C, 0x003A, 0xA832);
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/*
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* MapPoints()
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*
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* Availability:
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* Non-Carbon CFM: not available
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* CarbonLib: not available
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* Mac OS X: not available
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*/
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EXTERN_API_C( void )
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MapPoints(
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const gxMapping * source,
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long count,
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gxPoint theVector[]) THREEWORDINLINE(0x303C, 0x003B, 0xA832);
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/*
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* FirstBit()
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*
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* Availability:
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* Non-Carbon CFM: not available
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* CarbonLib: not available
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* Mac OS X: not available
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*/
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EXTERN_API_C( short )
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FirstBit(unsigned long x) THREEWORDINLINE(0x303C, 0x003C, 0xA832);
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/*
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* WideScale()
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*
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* Availability:
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* Non-Carbon CFM: not available
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* CarbonLib: not available
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* Mac OS X: not available
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*/
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EXTERN_API_C( short )
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WideScale(const wide * source) THREEWORDINLINE(0x303C, 0x003D, 0xA832);
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/*
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* LinearRoot()
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*
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* Availability:
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* Non-Carbon CFM: not available
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* CarbonLib: not available
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* Mac OS X: not available
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*/
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EXTERN_API_C( short )
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LinearRoot(
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Fixed first,
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Fixed last,
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Fract t[]) THREEWORDINLINE(0x303C, 0x003E, 0xA832);
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/*
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* QuadraticRoot()
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*
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* Availability:
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* Non-Carbon CFM: not available
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* CarbonLib: not available
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* Mac OS X: not available
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*/
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EXTERN_API_C( short )
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QuadraticRoot(
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Fixed first,
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Fixed control,
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Fixed last,
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Fract t[]) THREEWORDINLINE(0x303C, 0x003F, 0xA832);
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/*
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* PolarToPoint()
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*
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* Availability:
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* Non-Carbon CFM: not available
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* CarbonLib: not available
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* Mac OS X: not available
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*/
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EXTERN_API_C( gxPoint * )
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PolarToPoint(
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const gxPolar * ra,
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gxPoint * xy) THREEWORDINLINE(0x303C, 0x0040, 0xA832);
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/*
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* PointToPolar()
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*
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* Availability:
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* Non-Carbon CFM: not available
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* CarbonLib: not available
|
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* Mac OS X: not available
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*/
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EXTERN_API_C( gxPolar * )
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PointToPolar(
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const gxPoint * xy,
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gxPolar * ra) THREEWORDINLINE(0x303C, 0x0041, 0xA832);
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/*
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* FractCubeRoot()
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*
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* Availability:
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* Non-Carbon CFM: not available
|
||
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* CarbonLib: not available
|
||
|
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* Mac OS X: not available
|
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*/
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EXTERN_API_C( Fract )
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FractCubeRoot(Fract source) THREEWORDINLINE(0x303C, 0x0042, 0xA832);
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/*
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* FractDivide()
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*
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||
|
|
* Availability:
|
||
|
|
* Non-Carbon CFM: not available
|
||
|
|
* CarbonLib: not available
|
||
|
|
* Mac OS X: not available
|
||
|
|
*/
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EXTERN_API_C( Fract )
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FractDivide(
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Fract dividend,
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Fract divisor) THREEWORDINLINE(0x303C, 0x0043, 0xA832);
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/*
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* FractMultiply()
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*
|
||
|
|
* Availability:
|
||
|
|
* Non-Carbon CFM: not available
|
||
|
|
* CarbonLib: not available
|
||
|
|
* Mac OS X: not available
|
||
|
|
*/
|
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EXTERN_API_C( Fract )
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FractMultiply(
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Fract multiplicand,
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Fract multiplier) THREEWORDINLINE(0x303C, 0x0044, 0xA832);
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||
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/*
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* FractSineCosine()
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*
|
||
|
|
* Availability:
|
||
|
|
* Non-Carbon CFM: not available
|
||
|
|
* CarbonLib: not available
|
||
|
|
* Mac OS X: not available
|
||
|
|
*/
|
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EXTERN_API_C( Fract )
|
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FractSineCosine(
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Fixed degrees,
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Fract * cosine) THREEWORDINLINE(0x303C, 0x0045, 0xA832);
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||
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/*
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* FractSquareRoot()
|
||
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*
|
||
|
|
* Availability:
|
||
|
|
* Non-Carbon CFM: not available
|
||
|
|
* CarbonLib: not available
|
||
|
|
* Mac OS X: not available
|
||
|
|
*/
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EXTERN_API_C( Fract )
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FractSquareRoot(Fract source) THREEWORDINLINE(0x303C, 0x0046, 0xA832);
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||
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||
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/*
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||
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* FixedDivide()
|
||
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|
*
|
||
|
|
* Availability:
|
||
|
|
* Non-Carbon CFM: not available
|
||
|
|
* CarbonLib: not available
|
||
|
|
* Mac OS X: not available
|
||
|
|
*/
|
||
|
|
EXTERN_API_C( Fixed )
|
||
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FixedDivide(
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Fixed dividend,
|
||
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Fixed divisor) THREEWORDINLINE(0x303C, 0x0047, 0xA832);
|
||
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|
||
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|
||
|
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/*
|
||
|
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* FixedMultiply()
|
||
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*
|
||
|
|
* Availability:
|
||
|
|
* Non-Carbon CFM: not available
|
||
|
|
* CarbonLib: not available
|
||
|
|
* Mac OS X: not available
|
||
|
|
*/
|
||
|
|
EXTERN_API_C( Fixed )
|
||
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FixedMultiply(
|
||
|
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Fixed multiplicand,
|
||
|
|
Fixed multiplier) THREEWORDINLINE(0x303C, 0x0048, 0xA832);
|
||
|
|
|
||
|
|
|
||
|
|
/* This next call is (source * multiplier / divisor) -- it avoids underflow, overflow by using wides */
|
||
|
|
/*
|
||
|
|
* MultiplyDivide()
|
||
|
|
*
|
||
|
|
* Availability:
|
||
|
|
* Non-Carbon CFM: not available
|
||
|
|
* CarbonLib: not available
|
||
|
|
* Mac OS X: not available
|
||
|
|
*/
|
||
|
|
EXTERN_API_C( long )
|
||
|
|
MultiplyDivide(
|
||
|
|
long source,
|
||
|
|
long multiplier,
|
||
|
|
long divisor) THREEWORDINLINE(0x303C, 0x0049, 0xA832);
|
||
|
|
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Magnitude()
|
||
|
|
*
|
||
|
|
* Availability:
|
||
|
|
* Non-Carbon CFM: not available
|
||
|
|
* CarbonLib: not available
|
||
|
|
* Mac OS X: not available
|
||
|
|
*/
|
||
|
|
EXTERN_API_C( unsigned long )
|
||
|
|
Magnitude(
|
||
|
|
long deltaX,
|
||
|
|
long deltaY) THREEWORDINLINE(0x303C, 0x004A, 0xA832);
|
||
|
|
|
||
|
|
|
||
|
|
/*
|
||
|
|
* VectorMultiplyDivide()
|
||
|
|
*
|
||
|
|
* Availability:
|
||
|
|
* Non-Carbon CFM: not available
|
||
|
|
* CarbonLib: not available
|
||
|
|
* Mac OS X: not available
|
||
|
|
*/
|
||
|
|
EXTERN_API_C( long )
|
||
|
|
VectorMultiplyDivide(
|
||
|
|
long count,
|
||
|
|
const long * vector1,
|
||
|
|
long step1,
|
||
|
|
const long * vector2,
|
||
|
|
long step2,
|
||
|
|
long divisor) THREEWORDINLINE(0x303C, 0x004B, 0xA832);
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
/* wide operations are defined within FixMath.h for PowerPC */
|
||
|
|
#endif /* CALL_NOT_IN_CARBON */
|
||
|
|
|
||
|
|
#if TARGET_OS_MAC && TARGET_CPU_68K
|
||
|
|
#if CALL_NOT_IN_CARBON
|
||
|
|
/*
|
||
|
|
* WideAdd()
|
||
|
|
*
|
||
|
|
* Availability:
|
||
|
|
* Non-Carbon CFM: not available
|
||
|
|
* CarbonLib: not available
|
||
|
|
* Mac OS X: not available
|
||
|
|
*/
|
||
|
|
EXTERN_API_C( wide * )
|
||
|
|
WideAdd(
|
||
|
|
wide * target,
|
||
|
|
const wide * source) THREEWORDINLINE(0x303C, 0x004C, 0xA832);
|
||
|
|
|
||
|
|
|
||
|
|
/*
|
||
|
|
* WideCompare()
|
||
|
|
*
|
||
|
|
* Availability:
|
||
|
|
* Non-Carbon CFM: not available
|
||
|
|
* CarbonLib: not available
|
||
|
|
* Mac OS X: not available
|
||
|
|
*/
|
||
|
|
EXTERN_API_C( short )
|
||
|
|
WideCompare(
|
||
|
|
const wide * target,
|
||
|
|
const wide * source) THREEWORDINLINE(0x303C, 0x004D, 0xA832);
|
||
|
|
|
||
|
|
|
||
|
|
/*
|
||
|
|
* WideNegate()
|
||
|
|
*
|
||
|
|
* Availability:
|
||
|
|
* Non-Carbon CFM: not available
|
||
|
|
* CarbonLib: not available
|
||
|
|
* Mac OS X: not available
|
||
|
|
*/
|
||
|
|
EXTERN_API_C( wide * )
|
||
|
|
WideNegate(wide * target) THREEWORDINLINE(0x303C, 0x004E, 0xA832);
|
||
|
|
|
||
|
|
|
||
|
|
/*
|
||
|
|
* WideShift()
|
||
|
|
*
|
||
|
|
* Availability:
|
||
|
|
* Non-Carbon CFM: not available
|
||
|
|
* CarbonLib: not available
|
||
|
|
* Mac OS X: not available
|
||
|
|
*/
|
||
|
|
EXTERN_API_C( wide * )
|
||
|
|
WideShift(
|
||
|
|
wide * target,
|
||
|
|
long shift) THREEWORDINLINE(0x303C, 0x004F, 0xA832);
|
||
|
|
|
||
|
|
|
||
|
|
/*
|
||
|
|
* WideSquareRoot()
|
||
|
|
*
|
||
|
|
* Availability:
|
||
|
|
* Non-Carbon CFM: not available
|
||
|
|
* CarbonLib: not available
|
||
|
|
* Mac OS X: not available
|
||
|
|
*/
|
||
|
|
EXTERN_API_C( unsigned long )
|
||
|
|
WideSquareRoot(const wide * source) THREEWORDINLINE(0x303C, 0x0050, 0xA832);
|
||
|
|
|
||
|
|
|
||
|
|
/*
|
||
|
|
* WideSubtract()
|
||
|
|
*
|
||
|
|
* Availability:
|
||
|
|
* Non-Carbon CFM: not available
|
||
|
|
* CarbonLib: not available
|
||
|
|
* Mac OS X: not available
|
||
|
|
*/
|
||
|
|
EXTERN_API_C( wide * )
|
||
|
|
WideSubtract(
|
||
|
|
wide * target,
|
||
|
|
const wide * source) THREEWORDINLINE(0x303C, 0x0051, 0xA832);
|
||
|
|
|
||
|
|
|
||
|
|
/*
|
||
|
|
* WideMultiply()
|
||
|
|
*
|
||
|
|
* Availability:
|
||
|
|
* Non-Carbon CFM: not available
|
||
|
|
* CarbonLib: not available
|
||
|
|
* Mac OS X: not available
|
||
|
|
*/
|
||
|
|
EXTERN_API_C( wide * )
|
||
|
|
WideMultiply(
|
||
|
|
long multiplicand,
|
||
|
|
long multiplier,
|
||
|
|
wide * target) THREEWORDINLINE(0x303C, 0x0052, 0xA832);
|
||
|
|
|
||
|
|
|
||
|
|
/* returns the quotient */
|
||
|
|
/*
|
||
|
|
* WideDivide()
|
||
|
|
*
|
||
|
|
* Availability:
|
||
|
|
* Non-Carbon CFM: not available
|
||
|
|
* CarbonLib: not available
|
||
|
|
* Mac OS X: not available
|
||
|
|
*/
|
||
|
|
EXTERN_API_C( long )
|
||
|
|
WideDivide(
|
||
|
|
const wide * dividend,
|
||
|
|
long divisor,
|
||
|
|
long * remainder) THREEWORDINLINE(0x303C, 0x0053, 0xA832);
|
||
|
|
|
||
|
|
|
||
|
|
/* quotient replaces dividend */
|
||
|
|
/*
|
||
|
|
* WideWideDivide()
|
||
|
|
*
|
||
|
|
* Availability:
|
||
|
|
* Non-Carbon CFM: not available
|
||
|
|
* CarbonLib: not available
|
||
|
|
* Mac OS X: not available
|
||
|
|
*/
|
||
|
|
EXTERN_API_C( wide * )
|
||
|
|
WideWideDivide(
|
||
|
|
wide * dividend,
|
||
|
|
long divisor,
|
||
|
|
long * remainder) THREEWORDINLINE(0x303C, 0x0055, 0xA832);
|
||
|
|
|
||
|
|
|
||
|
|
#endif /* CALL_NOT_IN_CARBON */
|
||
|
|
|
||
|
|
#endif /* TARGET_OS_MAC && TARGET_CPU_68K */
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
#if CALL_NOT_IN_CARBON
|
||
|
|
/*
|
||
|
|
* VectorMultiply()
|
||
|
|
*
|
||
|
|
* Availability:
|
||
|
|
* Non-Carbon CFM: not available
|
||
|
|
* CarbonLib: not available
|
||
|
|
* Mac OS X: not available
|
||
|
|
*/
|
||
|
|
EXTERN_API_C( wide * )
|
||
|
|
VectorMultiply(
|
||
|
|
long count,
|
||
|
|
const long * vector1,
|
||
|
|
long step1,
|
||
|
|
const long * vector2,
|
||
|
|
long step2,
|
||
|
|
wide * dot) THREEWORDINLINE(0x303C, 0x0054, 0xA832);
|
||
|
|
|
||
|
|
|
||
|
|
/*
|
||
|
|
* RandomBits()
|
||
|
|
*
|
||
|
|
* Availability:
|
||
|
|
* Non-Carbon CFM: not available
|
||
|
|
* CarbonLib: not available
|
||
|
|
* Mac OS X: not available
|
||
|
|
*/
|
||
|
|
EXTERN_API_C( unsigned long )
|
||
|
|
RandomBits(
|
||
|
|
long count,
|
||
|
|
long focus) THREEWORDINLINE(0x303C, 0x0056, 0xA832);
|
||
|
|
|
||
|
|
|
||
|
|
/*
|
||
|
|
* SetRandomSeed()
|
||
|
|
*
|
||
|
|
* Availability:
|
||
|
|
* Non-Carbon CFM: not available
|
||
|
|
* CarbonLib: not available
|
||
|
|
* Mac OS X: not available
|
||
|
|
*/
|
||
|
|
EXTERN_API_C( void )
|
||
|
|
SetRandomSeed(const wide * seed) THREEWORDINLINE(0x303C, 0x0057, 0xA832);
|
||
|
|
|
||
|
|
|
||
|
|
/*
|
||
|
|
* GetRandomSeed()
|
||
|
|
*
|
||
|
|
* Availability:
|
||
|
|
* Non-Carbon CFM: not available
|
||
|
|
* CarbonLib: not available
|
||
|
|
* Mac OS X: not available
|
||
|
|
*/
|
||
|
|
EXTERN_API_C( wide * )
|
||
|
|
GetRandomSeed(wide * seed) THREEWORDINLINE(0x303C, 0x0058, 0xA832);
|
||
|
|
|
||
|
|
|
||
|
|
#endif /* CALL_NOT_IN_CARBON */
|
||
|
|
|
||
|
|
#ifndef FixedRound
|
||
|
|
#define FixedRound(a) ((short)(((Fixed)(a) + fixed1/2) >> 16))
|
||
|
|
#endif
|
||
|
|
#ifndef FixedSquareRoot
|
||
|
|
#define FixedSquareRoot(a) (((Fixed)FractSquareRoot(a) + 64) >> 7)
|
||
|
|
#endif
|
||
|
|
#ifndef FixedTruncate
|
||
|
|
#define FixedTruncate(a) ((short)((Fixed)(a) >> 16))
|
||
|
|
#endif
|
||
|
|
#ifndef FixedToFract
|
||
|
|
#define FixedToFract(a) ((Fract)(a) << 14)
|
||
|
|
#endif
|
||
|
|
#ifndef FractToFixed
|
||
|
|
#define FractToFixed(a) ((Fixed)(a) + 8192L >> 14)
|
||
|
|
#endif
|
||
|
|
#ifndef FixedToInt
|
||
|
|
#define FixedToInt(a) ((short)(((Fixed)(a) + fixed1/2) >> 16))
|
||
|
|
#endif
|
||
|
|
#ifndef IntToFixed
|
||
|
|
#define IntToFixed(a) ((Fixed)(a) << 16)
|
||
|
|
#endif
|
||
|
|
#ifndef FixedToFloat
|
||
|
|
#define FixedToFloat(a) ((float)(a) / fixed1)
|
||
|
|
#endif
|
||
|
|
#ifndef FloatToFixed
|
||
|
|
#define FloatToFixed(a) ((Fixed)((float)(a) * fixed1))
|
||
|
|
#endif
|
||
|
|
#ifndef FractToFloat
|
||
|
|
#define FractToFloat(a) ((float)(a) / fract1)
|
||
|
|
#endif
|
||
|
|
#ifndef FloatToFract
|
||
|
|
#define FloatToFract(a) ((Fract)((float)(a) * fract1))
|
||
|
|
#endif
|
||
|
|
#ifndef ColorToFract
|
||
|
|
#define ColorToFract(a) (((Fract) (a) << 14) + (((Fract)(a) + 2) >> 2))
|
||
|
|
#endif
|
||
|
|
#ifndef FractToColor
|
||
|
|
#define FractToColor(a) ((gxColorValue) ((a) - ((a) >> 16) + 8191 >> 14))
|
||
|
|
#endif
|
||
|
|
#ifndef ff /* ff is already defined on some platforms */
|
||
|
|
#define ff(a) IntToFixed(a)
|
||
|
|
#define fl(a) FloatToFixed(a)
|
||
|
|
#endif
|
||
|
|
|
||
|
|
|
||
|
|
#if defined(__MWERKS__) && TARGET_CPU_68K
|
||
|
|
#pragma pop
|
||
|
|
#endif
|
||
|
|
|
||
|
|
|
||
|
|
#if PRAGMA_STRUCT_ALIGN
|
||
|
|
#pragma options align=reset
|
||
|
|
#elif PRAGMA_STRUCT_PACKPUSH
|
||
|
|
#pragma pack(pop)
|
||
|
|
#elif PRAGMA_STRUCT_PACK
|
||
|
|
#pragma pack()
|
||
|
|
#endif
|
||
|
|
|
||
|
|
#ifdef PRAGMA_IMPORT_OFF
|
||
|
|
#pragma import off
|
||
|
|
#elif PRAGMA_IMPORT
|
||
|
|
#pragma import reset
|
||
|
|
#endif
|
||
|
|
|
||
|
|
#ifdef __cplusplus
|
||
|
|
}
|
||
|
|
#endif
|
||
|
|
|
||
|
|
#endif /* __GXMATH__ */
|
||
|
|
|