/* File: GXMath.h Contains: QuickDraw GX math routine interfaces. Version: Technology: Quickdraw GX 1.1 Release: QuickTime 4.0 Copyright: (c) 1994-1998 by Apple Computer, Inc., all rights reserved. Bugs?: For bug reports, consult the following page on the World Wide Web: http://developer.apple.com/bugreporter/ */ #ifndef __GXMATH__ #define __GXMATH__ #ifndef __CONDITIONALMACROS__ #include #endif #ifndef __MACTYPES__ #include #endif #ifndef __FIXMATH__ #include #endif #if PRAGMA_ONCE #pragma once #endif #ifdef __cplusplus extern "C" { #endif #if PRAGMA_IMPORT #pragma import on #endif #if PRAGMA_STRUCT_ALIGN #pragma options align=mac68k #elif PRAGMA_STRUCT_PACKPUSH #pragma pack(push, 2) #elif PRAGMA_STRUCT_PACK #pragma pack(2) #endif #if defined(__MWERKS__) && TARGET_CPU_68K #pragma push #pragma pointers_in_D0 #endif struct gxPoint { Fixed x; Fixed y; }; typedef struct gxPoint gxPoint; typedef unsigned short gxColorValue; struct gxPolar { Fixed radius; Fixed angle; }; typedef struct gxPolar gxPolar; struct gxMapping { Fixed map[3][3]; }; typedef struct gxMapping gxMapping; #define gxColorValue1 ((gxColorValue) 0x0000FFFF) #define gxPositiveInfinity ((long) 0x7FFFFFFFL) #define gxNegativeInfinity ((long) 0x80000000L) EXTERN_API_C( gxMapping *) CopyToMapping (gxMapping * target, const gxMapping * source) THREEWORDINLINE(0x303C, 0x0031, 0xA832); EXTERN_API_C( gxMapping *) InvertMapping (gxMapping * target, const gxMapping * source) THREEWORDINLINE(0x303C, 0x0032, 0xA832); EXTERN_API_C( gxMapping *) MapMapping (gxMapping * target, const gxMapping * source) THREEWORDINLINE(0x303C, 0x0033, 0xA832); EXTERN_API_C( gxMapping *) MoveMapping (gxMapping * target, Fixed hOffset, Fixed vOffset) THREEWORDINLINE(0x303C, 0x0034, 0xA832); EXTERN_API_C( gxMapping *) MoveMappingTo (gxMapping * target, Fixed hPosition, Fixed vPosition) THREEWORDINLINE(0x303C, 0x0035, 0xA832); EXTERN_API_C( gxMapping *) NormalizeMapping (gxMapping * target) THREEWORDINLINE(0x303C, 0x0036, 0xA832); EXTERN_API_C( gxMapping *) RotateMapping (gxMapping * target, Fixed angle, Fixed xCenter, Fixed yCenter) THREEWORDINLINE(0x303C, 0x0037, 0xA832); EXTERN_API_C( gxMapping *) ScaleMapping (gxMapping * target, Fixed hFactor, Fixed vFactor, Fixed xCenter, Fixed yCenter) THREEWORDINLINE(0x303C, 0x0038, 0xA832); EXTERN_API_C( gxMapping *) ResetMapping (gxMapping * target) THREEWORDINLINE(0x303C, 0x0039, 0xA832); EXTERN_API_C( gxMapping *) SkewMapping (gxMapping * target, Fixed skewX, Fixed skewY, Fixed xCenter, Fixed yCenter) THREEWORDINLINE(0x303C, 0x003A, 0xA832); EXTERN_API_C( void ) MapPoints (const gxMapping * source, long count, gxPoint vector[]) THREEWORDINLINE(0x303C, 0x003B, 0xA832); EXTERN_API_C( short ) FirstBit (unsigned long x) THREEWORDINLINE(0x303C, 0x003C, 0xA832); EXTERN_API_C( short ) WideScale (const wide * source) THREEWORDINLINE(0x303C, 0x003D, 0xA832); EXTERN_API_C( short ) LinearRoot (Fixed first, Fixed last, Fract t[]) THREEWORDINLINE(0x303C, 0x003E, 0xA832); EXTERN_API_C( short ) QuadraticRoot (Fixed first, Fixed control, Fixed last, Fract t[]) THREEWORDINLINE(0x303C, 0x003F, 0xA832); EXTERN_API_C( gxPoint *) PolarToPoint (const gxPolar * ra, gxPoint * xy) THREEWORDINLINE(0x303C, 0x0040, 0xA832); EXTERN_API_C( gxPolar *) PointToPolar (const gxPoint * xy, gxPolar * ra) THREEWORDINLINE(0x303C, 0x0041, 0xA832); EXTERN_API_C( Fract ) FractCubeRoot (Fract source) THREEWORDINLINE(0x303C, 0x0042, 0xA832); EXTERN_API_C( Fract ) FractDivide (Fract dividend, Fract divisor) THREEWORDINLINE(0x303C, 0x0043, 0xA832); EXTERN_API_C( Fract ) FractMultiply (Fract multiplicand, Fract multiplier) THREEWORDINLINE(0x303C, 0x0044, 0xA832); EXTERN_API_C( Fract ) FractSineCosine (Fixed degrees, Fract * cosine) THREEWORDINLINE(0x303C, 0x0045, 0xA832); EXTERN_API_C( Fract ) FractSquareRoot (Fract source) THREEWORDINLINE(0x303C, 0x0046, 0xA832); EXTERN_API_C( Fixed ) FixedDivide (Fixed dividend, Fixed divisor) THREEWORDINLINE(0x303C, 0x0047, 0xA832); EXTERN_API_C( Fixed ) FixedMultiply (Fixed multiplicand, Fixed multiplier) THREEWORDINLINE(0x303C, 0x0048, 0xA832); /* This next call is (source * multiplier / divisor) -- it avoids underflow, overflow by using wides */ EXTERN_API_C( long ) MultiplyDivide (long source, long multiplier, long divisor) THREEWORDINLINE(0x303C, 0x0049, 0xA832); EXTERN_API_C( unsigned long ) Magnitude (long deltaX, long deltaY) THREEWORDINLINE(0x303C, 0x004A, 0xA832); 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 only for PowerPC */ #if !TARGET_CPU_PPC EXTERN_API_C( wide *) WideAdd (wide * target, const wide * source) THREEWORDINLINE(0x303C, 0x004C, 0xA832); EXTERN_API_C( short ) WideCompare (const wide * target, const wide * source) THREEWORDINLINE(0x303C, 0x004D, 0xA832); EXTERN_API_C( wide *) WideNegate (wide * target) THREEWORDINLINE(0x303C, 0x004E, 0xA832); EXTERN_API_C( wide *) WideShift (wide * target, long shift) THREEWORDINLINE(0x303C, 0x004F, 0xA832); EXTERN_API_C( unsigned long ) WideSquareRoot (const wide * source) THREEWORDINLINE(0x303C, 0x0050, 0xA832); EXTERN_API_C( wide *) WideSubtract (wide * target, const wide * source) THREEWORDINLINE(0x303C, 0x0051, 0xA832); EXTERN_API_C( wide *) WideMultiply (long multiplicand, long multiplier, wide * target) THREEWORDINLINE(0x303C, 0x0052, 0xA832); /* returns the quotient */ EXTERN_API_C( long ) WideDivide (const wide * dividend, long divisor, long * remainder) THREEWORDINLINE(0x303C, 0x0053, 0xA832); /* quotient replaces dividend */ EXTERN_API_C( wide *) WideWideDivide (wide * dividend, long divisor, long * remainder) THREEWORDINLINE(0x303C, 0x0055, 0xA832); #endif /* !TARGET_CPU_PPC */ EXTERN_API_C( wide *) VectorMultiply (long count, const long * vector1, long step1, const long * vector2, long step2, wide * dot) THREEWORDINLINE(0x303C, 0x0054, 0xA832); EXTERN_API_C( unsigned long ) RandomBits (long count, long focus) THREEWORDINLINE(0x303C, 0x0056, 0xA832); EXTERN_API_C( void ) SetRandomSeed (const wide * seed) THREEWORDINLINE(0x303C, 0x0057, 0xA832); EXTERN_API_C( wide *) GetRandomSeed (wide * seed) THREEWORDINLINE(0x303C, 0x0058, 0xA832); #define FixedRound(a) ((short)((Fixed)(a) + fixed1/2 >> 16)) #define FixedSquareRoot(a) ((Fixed)FractSquareRoot(a) + 64 >> 7) #define FixedTruncate(a) ((short)((Fixed)(a) >> 16)) #define FixedToFract(a) ((Fract)(a) << 14) #define FractToFixed(a) ((Fixed)(a) + 8192L >> 14) #define FixedToInt(a) ((short)((Fixed)(a) + fixed1/2 >> 16)) #define IntToFixed(a) ((Fixed)(a) << 16) #define FixedToFloat(a) ((float)(a) / fixed1) #define FloatToFixed(a) ((Fixed)((float)(a) * fixed1)) #define FractToFloat(a) ((float)(a) / fract1) #define FloatToFract(a) ((Fract)((float)(a) * fract1)) #define ColorToFract(a) (((Fract) (a) << 14) + ((Fract)(a) + 2 >> 2)) #define FractToColor(a) ((gxColorValue) ((a) - ((a) >> 16) + 8191 >> 14)) #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__ */