#ifndef _MATH_H_ #define _MATH_H_ #include #ifdef __cplusplus extern "C" { #endif #ifndef _MATH_INLINE #define _MATH_INLINE static inline #endif #ifdef __MWERKS__ /* Metrowerks */ #if __option(little_endian) #define __IEEE_LITTLE_ENDIAN #else #define __IEEE_BIG_ENDIAN #endif #else /* GCC */ #ifdef __BIG_ENDIAN__ #define __IEEE_BIG_ENDIAN #endif #ifdef __LITTLE_ENDIAN__ #define __IEEE_LITTLE_ENDIAN #endif #endif #ifndef __IEEE_BIG_ENDIAN #ifndef __IEEE_LITTLE_ENDIAN #error Must define endianness #endif #endif #ifndef _INT32 typedef int _INT32; typedef unsigned int _UINT32; #endif int abs(int n); #ifdef __MWERKS__ #define abs(n) __abs(n) #define labs(n) __labs(n) static inline double fabs(double x) { return __fabs(x); } #else // static inline int abs(int n) { // int mask = n >> 31; // return (n + mask) ^ mask; // } #endif extern _INT32 __float_huge[]; extern _INT32 __float_nan[]; extern _INT32 __double_huge[]; extern _INT32 __extended_huge[]; #define HUGE_VAL (*(double*)__double_huge) #define INFINITY (*(float*)__float_huge) #define NAN (*(float*)__float_nan) #define HUGE_VALF (*(float*)__float_huge) #define HUGE_VALL (*(long double*)__extended_huge) double fabs(double x); double fmod(double x, double m); double sin(double x); double cos(double x); double atan(double x); double atan2(double y, double x); double tan(double x); double ceil(double x); _MATH_INLINE float fabsf(float x) { return (float)fabs((double)x); } _MATH_INLINE float sinf(float x) { return (float)sin((double)x); } _MATH_INLINE float cosf(float x) { return (float)cos((double)x); } _MATH_INLINE float atan2f(float y, float x) { return (float)atan2((double)y, (double)x); } _MATH_INLINE float fmodf(float x, float m) { return (float)fmod((double)x, (double)m); } float tanf(float x); double asin(double x); double acos(double x); float acosf(float x); double log(double x); double exp(double x); double ldexp(double x, int exp); double copysign(double x, double y); double floor(double x); _MATH_INLINE float floorf(float x) { return floor(x); } double fabs(double x); double pow(double x, double y); _MATH_INLINE float powf(float __x, float __y) { return pow(__x, __y); } #ifdef __MWERKS__ #pragma cplusplus on #endif #ifdef __IEEE_LITTLE_ENDIAN #define __HI(x) (sizeof(x) == 8 ? *(1 + (_INT32*)&x) : (*(_INT32*)&x)) #define __LO(x) (*(_INT32*)&x) #define __UHI(x) (sizeof(x) == 8 ? *(1 + (_UINT32*)&x) : (*(_UINT32*)&x)) #define __ULO(x) (*(_UINT32*)&x) #else #define __LO(x) (sizeof(x) == 8 ? *(1 + (_INT32*)&x) : (*(_INT32*)&x)) #define __HI(x) (*(_INT32*)&x) #define __ULO(x) (sizeof(x) == 8 ? *(1 + (_UINT32*)&x) : (*(_UINT32*)&x)) #define __UHI(x) (*(_UINT32*)&x) #endif #define FP_NAN 1 #define FP_INFINITE 2 #define FP_ZERO 3 #define FP_NORMAL 4 #define FP_SUBNORMAL 5 static inline int __fpclassifyf(float x) { switch ((*(_INT32*)&x) & 0x7f800000) { case 0x7f800000: { if ((*(_INT32*)&x) & 0x007fffff) return FP_NAN; else return FP_INFINITE; break; } case 0: { if ((*(_INT32*)&x) & 0x007fffff) return FP_SUBNORMAL; else return FP_ZERO; break; } } return FP_NORMAL; } static inline int __fpclassifyd(double x) { switch (__HI(x) & 0x7ff00000) { case 0x7ff00000: { if ((__HI(x) & 0x000fffff) || (__LO(x) & 0xffffffff)) return FP_NAN; else return FP_INFINITE; break; } case 0: { if ((__HI(x) & 0x000fffff) || (__LO(x) & 0xffffffff)) return FP_SUBNORMAL; else return FP_ZERO; break; } } return FP_NORMAL; } #define fpclassify(x) \ (sizeof(x) == sizeof(float) ? __fpclassifyf((float)(x)) : __fpclassifyd((double)(x))) #define isnormal(x) (fpclassify(x) == FP_NORMAL) #define isnan(x) (fpclassify(x) == FP_NAN) #define isinf(x) (fpclassify(x) == FP_INFINITE) #define isfinite(x) ((fpclassify(x) > FP_INFINITE)) extern inline float sqrtf(float x) { static const double _half = .5; static const double _three = 3.0; volatile float y; if (x > 0.0f) { double guess = __frsqrte((double)x); /* returns an approximation to */ guess = _half * guess * (_three - guess * guess * x); /* now have 12 sig bits */ guess = _half * guess * (_three - guess * guess * x); /* now have 24 sig bits */ guess = _half * guess * (_three - guess * guess * x); /* now have 32 sig bits */ y = (float)(x * guess); return y; } return x; } _MATH_INLINE double sqrt(double x) { if (x > 0.0) { double guess = __frsqrte(x); /* returns an approximation to */ guess = .5 * guess * (3.0 - guess * guess * x); /* now have 8 sig bits */ guess = .5 * guess * (3.0 - guess * guess * x); /* now have 16 sig bits */ guess = .5 * guess * (3.0 - guess * guess * x); /* now have 32 sig bits */ guess = .5 * guess * (3.0 - guess * guess * x); /* now have > 53 sig bits */ return x * guess; } else if (x == 0.0) { return 0; } else if (x) { return NAN; } return INFINITY; } static inline float ldexpf(float x, int exp) { return (float)ldexp((double)x, exp); } static inline double scalbn(double x, int n) { return ldexp(x, n); } static inline float scalbnf(float x, int n) { return (float)ldexpf(x, n); } #ifdef __MWERKS__ #pragma cplusplus reset #endif #ifdef __cplusplus } #endif #endif