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/***
*math.h - definitions and declarations for math library** Copyright (c) 1985-2000, Microsoft Corporation. All rights reserved.**Purpose:* This file contains constant definitions and external subroutine* declarations for the math subroutine library.* [ANSI/System V]** [Public]*****/
#if _MSC_VER > 1000
#pragma once
#endif
#ifndef _INC_MATH
#define _INC_MATH
#if !defined(_WIN32)
#error ERROR: Only Win32 target supported!
#endif
#ifdef _MSC_VER
/*
* Currently, all MS C compilers for Win32 platforms default to 8 byte * alignment. */#pragma pack(push,8)
#endif /* _MSC_VER */
#ifdef __cplusplus
extern "C" {#endif
#ifndef __assembler /* Protect from assembler */
/* Define _CRTIMP */
#ifndef _CRTIMP
#ifdef _DLL
#define _CRTIMP __declspec(dllimport)
#else /* ndef _DLL */
#define _CRTIMP
#endif /* _DLL */
#endif /* _CRTIMP */
/* Define __cdecl for non-Microsoft compilers */
#if ( !defined(_MSC_VER) && !defined(__cdecl) )
#define __cdecl
#endif
/* Definition of _exception struct - this struct is passed to the matherr
* routine when a floating point exception is detected */
#ifndef _EXCEPTION_DEFINED
struct _exception { int type; /* exception type - see below */ char *name; /* name of function where error occured */ double arg1; /* first argument to function */ double arg2; /* second argument (if any) to function */ double retval; /* value to be returned by function */ } ;
#define _EXCEPTION_DEFINED
#endif
/* Definition of a _complex struct to be used by those who use cabs and
* want type checking on their argument */
#ifndef _COMPLEX_DEFINED
struct _complex { double x,y; /* real and imaginary parts */ } ;
#if !__STDC__ && !defined (__cplusplus)
/* Non-ANSI name for compatibility */#define complex _complex
#endif
#define _COMPLEX_DEFINED
#endif
#endif /* __assembler */
/* Constant definitions for the exception type passed in the _exception struct
*/
#define _DOMAIN 1 /* argument domain error */
#define _SING 2 /* argument singularity */
#define _OVERFLOW 3 /* overflow range error */
#define _UNDERFLOW 4 /* underflow range error */
#define _TLOSS 5 /* total loss of precision */
#define _PLOSS 6 /* partial loss of precision */
#define EDOM 33
#define ERANGE 34
/* Definitions of _HUGE and HUGE_VAL - respectively the XENIX and ANSI names
* for a value returned in case of error by a number of the floating point * math routines */#ifndef __assembler /* Protect from assembler */
_CRTIMP extern double _HUGE;#endif /* __assembler */
#define HUGE_VAL _HUGE
/* Definitions of useful mathematical constants
* M_E - e * M_LOG2E - log2(e) * M_LOG10E - log10(e) * M_LN2 - ln(2) * M_LN10 - ln(10) * M_PI - pi * M_PI_2 - pi/2 * M_PI_4 - pi/4 * M_1_PI - 1/pi * M_2_PI - 2/pi * M_2_SQRTPI - 2/sqrt(pi) * M_SQRT2 - sqrt(2) * M_SQRT1_2 - 1/sqrt(2) */
#define M_E 2.71828182845904523536
#define M_LOG2E 1.44269504088896340736
#define M_LOG10E 0.434294481903251827651
#define M_LN2 0.693147180559945309417
#define M_LN10 2.30258509299404568402
#define M_PI 3.14159265358979323846
#define M_PI_2 1.57079632679489661923
#define M_PI_4 0.785398163397448309616
#define M_1_PI 0.318309886183790671538
#define M_2_PI 0.636619772367581343076
#define M_2_SQRTPI 1.12837916709551257390
#define M_SQRT2 1.41421356237309504880
#define M_SQRT1_2 0.707106781186547524401
/* Function prototypes */
#if !defined(__assembler) /* Protect from assembler */
#if defined(_M_MRX000)
_CRTIMP int __cdecl abs(int);_CRTIMP double __cdecl acos(double);_CRTIMP double __cdecl asin(double);_CRTIMP double __cdecl atan(double);_CRTIMP double __cdecl atan2(double, double);_CRTIMP double __cdecl cos(double);_CRTIMP double __cdecl cosh(double);_CRTIMP double __cdecl exp(double);_CRTIMP double __cdecl fabs(double);_CRTIMP double __cdecl fmod(double, double);_CRTIMP long __cdecl labs(long);_CRTIMP double __cdecl log(double);_CRTIMP double __cdecl log10(double);_CRTIMP double __cdecl pow(double, double);_CRTIMP double __cdecl sin(double);_CRTIMP double __cdecl sinh(double);_CRTIMP double __cdecl tan(double);_CRTIMP double __cdecl tanh(double);_CRTIMP double __cdecl sqrt(double);#else
int __cdecl abs(int); double __cdecl acos(double); double __cdecl asin(double); double __cdecl atan(double); double __cdecl atan2(double, double); double __cdecl cos(double); double __cdecl cosh(double); double __cdecl exp(double); double __cdecl fabs(double); double __cdecl fmod(double, double); long __cdecl labs(long); double __cdecl log(double); double __cdecl log10(double); double __cdecl pow(double, double); double __cdecl sin(double); double __cdecl sinh(double); double __cdecl tan(double); double __cdecl tanh(double); double __cdecl sqrt(double);#endif
_CRTIMP double __cdecl atof(const char *);_CRTIMP double __cdecl _cabs(struct _complex);#if defined(_M_ALPHA)
double __cdecl ceil(double); double __cdecl floor(double);#else
_CRTIMP double __cdecl ceil(double);_CRTIMP double __cdecl floor(double);#endif
_CRTIMP double __cdecl frexp(double, int *);_CRTIMP double __cdecl _hypot(double, double);_CRTIMP double __cdecl _j0(double);_CRTIMP double __cdecl _j1(double);_CRTIMP double __cdecl _jn(int, double);_CRTIMP double __cdecl ldexp(double, int); int __cdecl _matherr(struct _exception *);_CRTIMP double __cdecl modf(double, double *);
_CRTIMP double __cdecl _y0(double);_CRTIMP double __cdecl _y1(double);_CRTIMP double __cdecl _yn(int, double);
#if defined(_M_MRX000)
/* MIPS fast prototypes for float *//* ANSI C, 4.5 Mathematics */
/* 4.5.2 Trigonometric functions */
_CRTIMP float __cdecl acosf( float );_CRTIMP float __cdecl asinf( float );_CRTIMP float __cdecl atanf( float );_CRTIMP float __cdecl atan2f( float , float );_CRTIMP float __cdecl cosf( float );_CRTIMP float __cdecl sinf( float );_CRTIMP float __cdecl tanf( float );
/* 4.5.3 Hyperbolic functions */_CRTIMP float __cdecl coshf( float );_CRTIMP float __cdecl sinhf( float );_CRTIMP float __cdecl tanhf( float );
/* 4.5.4 Exponential and logarithmic functions */_CRTIMP float __cdecl expf( float );_CRTIMP float __cdecl logf( float );_CRTIMP float __cdecl log10f( float );_CRTIMP float __cdecl modff( float , float* );
/* 4.5.5 Power functions */_CRTIMP float __cdecl powf( float , float ); float __cdecl sqrtf( float );
/* 4.5.6 Nearest integer, absolute value, and remainder functions */ float __cdecl ceilf( float ); float __cdecl fabsf( float ); float __cdecl floorf( float );_CRTIMP float __cdecl fmodf( float , float );
_CRTIMP float __cdecl hypotf(float, float);
#endif /* _M_MRX000 */
#if defined(_M_ALPHA)
/* ALPHA fast prototypes for float *//* ANSI C, 4.5 Mathematics */
/* 4.5.2 Trigonometric functions */
float __cdecl acosf( float ); float __cdecl asinf( float ); float __cdecl atanf( float ); float __cdecl atan2f( float , float ); float __cdecl cosf( float ); float __cdecl sinf( float ); float __cdecl tanf( float );
/* 4.5.3 Hyperbolic functions */ float __cdecl coshf( float ); float __cdecl sinhf( float ); float __cdecl tanhf( float );
/* 4.5.4 Exponential and logarithmic functions */ float __cdecl expf( float ); float __cdecl logf( float ); float __cdecl log10f( float );_CRTIMP float __cdecl modff( float , float* );
/* 4.5.5 Power functions */ float __cdecl powf( float , float ); float __cdecl sqrtf( float );
/* 4.5.6 Nearest integer, absolute value, and remainder functions */ float __cdecl ceilf( float ); float __cdecl fabsf( float ); float __cdecl floorf( float ); float __cdecl fmodf( float , float );
_CRTIMP float __cdecl _hypotf(float, float);
#endif /* _M_ALPHA */
#if defined(_M_IA64)
/* ANSI C, 4.5 Mathematics */
/* 4.5.2 Trigonometric functions */
float __cdecl acosf( float ); float __cdecl asinf( float ); float __cdecl atanf( float ); float __cdecl atan2f( float , float ); float __cdecl cosf( float ); float __cdecl sinf( float ); float __cdecl tanf( float );
/* 4.5.3 Hyperbolic functions */ float __cdecl coshf( float ); float __cdecl sinhf( float ); float __cdecl tanhf( float );
/* 4.5.4 Exponential and logarithmic functions */ float __cdecl expf( float ); float __cdecl logf( float ); float __cdecl log10f( float );__inline float modff(float _X, float *_Y) { double _Di, _Df = modf((double)_X, &_Di); *_Y = (float)_Di; return ((float)_Df); }
/* 4.5.5 Power functions */ float __cdecl powf( float , float ); float __cdecl sqrtf( float );
/* 4.5.6 Nearest integer, absolute value, and remainder functions */ float __cdecl ceilf( float ); float __cdecl fabsf( float ); float __cdecl floorf( float ); float __cdecl fmodf( float , float );
float __cdecl hypotf(float, float);
#endif /* _M_IA64 */
/* Macros defining long double functions to be their double counterparts
* (long double is synonymous with double in this implementation). */
#ifndef __cplusplus
#define acosl(x) ((long double)acos((double)(x)))
#define asinl(x) ((long double)asin((double)(x)))
#define atanl(x) ((long double)atan((double)(x)))
#define atan2l(x,y) ((long double)atan2((double)(x), (double)(y)))
#define _cabsl _cabs
#define ceill(x) ((long double)ceil((double)(x)))
#define cosl(x) ((long double)cos((double)(x)))
#define coshl(x) ((long double)cosh((double)(x)))
#define expl(x) ((long double)exp((double)(x)))
#define fabsl(x) ((long double)fabs((double)(x)))
#define floorl(x) ((long double)floor((double)(x)))
#define fmodl(x,y) ((long double)fmod((double)(x), (double)(y)))
#define frexpl(x,y) ((long double)frexp((double)(x), (y)))
#define _hypotl(x,y) ((long double)_hypot((double)(x), (double)(y)))
#define ldexpl(x,y) ((long double)ldexp((double)(x), (y)))
#define logl(x) ((long double)log((double)(x)))
#define log10l(x) ((long double)log10((double)(x)))
#define _matherrl _matherr
#define modfl(x,y) ((long double)modf((double)(x), (double *)(y)))
#define powl(x,y) ((long double)pow((double)(x), (double)(y)))
#define sinl(x) ((long double)sin((double)(x)))
#define sinhl(x) ((long double)sinh((double)(x)))
#define sqrtl(x) ((long double)sqrt((double)(x)))
#define tanl(x) ((long double)tan((double)(x)))
#define tanhl(x) ((long double)tanh((double)(x)))
#else /* __cplusplus */
inline long double acosl(long double _X) {return (acos((double)_X)); }inline long double asinl(long double _X) {return (asin((double)_X)); }inline long double atanl(long double _X) {return (atan((double)_X)); }inline long double atan2l(long double _X, long double _Y) {return (atan2((double)_X, (double)_Y)); }inline long double ceill(long double _X) {return (ceil((double)_X)); }inline long double cosl(long double _X) {return (cos((double)_X)); }inline long double coshl(long double _X) {return (cosh((double)_X)); }inline long double expl(long double _X) {return (exp((double)_X)); }inline long double fabsl(long double _X) {return (fabs((double)_X)); }inline long double floorl(long double _X) {return (floor((double)_X)); }inline long double fmodl(long double _X, long double _Y) {return (fmod((double)_X, (double)_Y)); }inline long double frexpl(long double _X, int *_Y) {return (frexp((double)_X, _Y)); }inline long double ldexpl(long double _X, int _Y) {return (ldexp((double)_X, _Y)); }inline long double logl(long double _X) {return (log((double)_X)); }inline long double log10l(long double _X) {return (log10((double)_X)); }inline long double modfl(long double _X, long double *_Y) {double _Di, _Df = modf((double)_X, &_Di); *_Y = (long double)_Di; return (_Df); }inline long double powl(long double _X, long double _Y) {return (pow((double)_X, (double)_Y)); }inline long double sinl(long double _X) {return (sin((double)_X)); }inline long double sinhl(long double _X) {return (sinh((double)_X)); }inline long double sqrtl(long double _X) {return (sqrt((double)_X)); }inline long double tanl(long double _X) {return (tan((double)_X)); }inline long double tanhl(long double _X) {return (tanh((double)_X)); }
inline float frexpf(float _X, int *_Y) {return ((float)frexp((double)_X, _Y)); }inline float ldexpf(float _X, int _Y) {return ((float)ldexp((double)_X, _Y)); }#if !defined(_M_MRX000) && !defined(_M_ALPHA) && !defined(_M_IA64)
inline float acosf(float _X) {return ((float)acos((double)_X)); }inline float asinf(float _X) {return ((float)asin((double)_X)); }inline float atanf(float _X) {return ((float)atan((double)_X)); }inline float atan2f(float _X, float _Y) {return ((float)atan2((double)_X, (double)_Y)); }inline float ceilf(float _X) {return ((float)ceil((double)_X)); }inline float cosf(float _X) {return ((float)cos((double)_X)); }inline float coshf(float _X) {return ((float)cosh((double)_X)); }inline float expf(float _X) {return ((float)exp((double)_X)); }inline float fabsf(float _X) {return ((float)fabs((double)_X)); }inline float floorf(float _X) {return ((float)floor((double)_X)); }inline float fmodf(float _X, float _Y) {return ((float)fmod((double)_X, (double)_Y)); }inline float logf(float _X) {return ((float)log((double)_X)); }inline float log10f(float _X) {return ((float)log10((double)_X)); }inline float modff(float _X, float *_Y) { double _Di, _Df = modf((double)_X, &_Di); *_Y = (float)_Di; return ((float)_Df); }inline float powf(float _X, float _Y) {return ((float)pow((double)_X, (double)_Y)); }inline float sinf(float _X) {return ((float)sin((double)_X)); }inline float sinhf(float _X) {return ((float)sinh((double)_X)); }inline float sqrtf(float _X) {return ((float)sqrt((double)_X)); }inline float tanf(float _X) {return ((float)tan((double)_X)); }inline float tanhf(float _X) {return ((float)tanh((double)_X)); }#endif /* !defined(_M_MRX000) && !defined(_M_ALPHA) && !defined(_M_IA64) */
#endif /* __cplusplus */
#endif /* __assembler */
#if !__STDC__
/* Non-ANSI names for compatibility */
#define DOMAIN _DOMAIN
#define SING _SING
#define OVERFLOW _OVERFLOW
#define UNDERFLOW _UNDERFLOW
#define TLOSS _TLOSS
#define PLOSS _PLOSS
#define matherr _matherr
#ifndef __assembler /* Protect from assembler */
_CRTIMP extern double HUGE;
_CRTIMP double __cdecl cabs(struct _complex);_CRTIMP double __cdecl hypot(double, double);_CRTIMP double __cdecl j0(double);_CRTIMP double __cdecl j1(double);_CRTIMP double __cdecl jn(int, double); int __cdecl matherr(struct _exception *);_CRTIMP double __cdecl y0(double);_CRTIMP double __cdecl y1(double);_CRTIMP double __cdecl yn(int, double);
#endif /* __assembler */
#endif /* __STDC__ */
#ifdef __cplusplus
}
extern "C++" {
template<class _Ty> inline _Ty _Pow_int(_Ty _X, int _Y) {unsigned int _N; if (_Y >= 0) _N = _Y; else _N = -_Y; for (_Ty _Z = _Ty(1); ; _X *= _X) {if ((_N & 1) != 0) _Z *= _X; if ((_N >>= 1) == 0) return (_Y < 0 ? _Ty(1) / _Z : _Z); }}
#ifndef _MSC_EXTENSIONS
inline long __cdecl abs(long _X) {return (labs(_X)); }inline double __cdecl abs(double _X) {return (fabs(_X)); }inline double __cdecl pow(double _X, int _Y) {return (_Pow_int(_X, _Y)); }inline double __cdecl pow(int _X, int _Y) {return (_Pow_int(_X, _Y)); }inline float __cdecl abs(float _X) {return (fabsf(_X)); }inline float __cdecl acos(float _X) {return (acosf(_X)); }inline float __cdecl asin(float _X) {return (asinf(_X)); }inline float __cdecl atan(float _X) {return (atanf(_X)); }inline float __cdecl atan2(float _Y, float _X) {return (atan2f(_Y, _X)); }inline float __cdecl ceil(float _X) {return (ceilf(_X)); }inline float __cdecl cos(float _X) {return (cosf(_X)); }inline float __cdecl cosh(float _X) {return (coshf(_X)); }inline float __cdecl exp(float _X) {return (expf(_X)); }inline float __cdecl fabs(float _X) {return (fabsf(_X)); }inline float __cdecl floor(float _X) {return (floorf(_X)); }inline float __cdecl fmod(float _X, float _Y) {return (fmodf(_X, _Y)); }inline float __cdecl frexp(float _X, int * _Y) {return (frexpf(_X, _Y)); }inline float __cdecl ldexp(float _X, int _Y) {return (ldexpf(_X, _Y)); }inline float __cdecl log(float _X) {return (logf(_X)); }inline float __cdecl log10(float _X) {return (log10f(_X)); }inline float __cdecl modf(float _X, float * _Y) {return (modff(_X, _Y)); }inline float __cdecl pow(float _X, float _Y) {return (powf(_X, _Y)); }inline float __cdecl pow(float _X, int _Y) {return (_Pow_int(_X, _Y)); }inline float __cdecl sin(float _X) {return (sinf(_X)); }inline float __cdecl sinh(float _X) {return (sinhf(_X)); }inline float __cdecl sqrt(float _X) {return (sqrtf(_X)); }inline float __cdecl tan(float _X) {return (tanf(_X)); }inline float __cdecl tanh(float _X) {return (tanhf(_X)); }inline long double __cdecl abs(long double _X) {return (fabsl(_X)); }inline long double __cdecl acos(long double _X) {return (acosl(_X)); }inline long double __cdecl asin(long double _X) {return (asinl(_X)); }inline long double __cdecl atan(long double _X) {return (atanl(_X)); }inline long double __cdecl atan2(long double _Y, long double _X) {return (atan2l(_Y, _X)); }inline long double __cdecl ceil(long double _X) {return (ceill(_X)); }inline long double __cdecl cos(long double _X) {return (cosl(_X)); }inline long double __cdecl cosh(long double _X) {return (coshl(_X)); }inline long double __cdecl exp(long double _X) {return (expl(_X)); }inline long double __cdecl fabs(long double _X) {return (fabsl(_X)); }inline long double __cdecl floor(long double _X) {return (floorl(_X)); }inline long double __cdecl fmod(long double _X, long double _Y) {return (fmodl(_X, _Y)); }inline long double __cdecl frexp(long double _X, int * _Y) {return (frexpl(_X, _Y)); }inline long double __cdecl ldexp(long double _X, int _Y) {return (ldexpl(_X, _Y)); }inline long double __cdecl log(long double _X) {return (logl(_X)); }inline long double __cdecl log10(long double _X) {return (log10l(_X)); }inline long double __cdecl modf(long double _X, long double * _Y) {return (modfl(_X, _Y)); }inline long double __cdecl pow(long double _X, long double _Y) {return (powl(_X, _Y)); }inline long double __cdecl pow(long double _X, int _Y) {return (_Pow_int(_X, _Y)); }inline long double __cdecl sin(long double _X) {return (sinl(_X)); }inline long double __cdecl sinh(long double _X) {return (sinhl(_X)); }inline long double __cdecl sqrt(long double _X) {return (sqrtl(_X)); }inline long double __cdecl tan(long double _X) {return (tanl(_X)); }inline long double __cdecl tanh(long double _X) {return (tanhl(_X)); }
#endif /* _MSC_EXTENSIONS */
}#endif /* __cplusplus */
#ifdef _MSC_VER
#pragma pack(pop)
#endif /* _MSC_VER */
#endif /* _INC_MATH */
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