#ifndef _MATH_H #define _MATH_H #ifndef _MATH_INLINE #define _MATH_INLINE static inline #endif extern int __float_nan[]; extern int __float_huge[]; extern int __double_huge[]; #define INFINITY (*(float *)__float_huge) #define NAN (*(float *)__float_nan) #define HUGE_VAL (*(double *)__double_huge) #ifdef __MWERKS__ extern 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) return 0; else if (x) return NAN; return INFINITY; } 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; } #else double sqrt(double x); float sqrtf(float x); #endif double atan(double x); double copysign(double x, double y); double cos(double x); double floor(double x); double frexp(double x, int *exp); double ldexp(double x, int exp); double modf(double x, double *intpart); double sin(double x); double tan(double x); double acos(double x); double asin(double x); double atan2(double y, double x); double fmod(double x, double y); double log(double x); double pow(double x, double y); float tanf(float x); #ifdef __MWERKS__ extern inline double fabs(double x) { return __fabs(x); } #else double fabs(double x); #endif _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 atanf(float x) { return (float)atan((double)x); } _MATH_INLINE float asinf(float x) { return (float)asin((double)x); } _MATH_INLINE float acosf(float x) { return (float)acos((double)x); } _MATH_INLINE float fmodf(float x, float m) { return (float)fmod((double)x, (double)m); } _MATH_INLINE float floorf(float x) { return floor(x); } _MATH_INLINE float powf(float __x, float __y) { return pow(__x, __y); } #endif