//

// corecrt_math.h

//

// Copyright (c) Microsoft Corporation. All rights reserved.

//

// The majority of the C Standard Library <math.h> functionality.

//

#pragma once

#define _INC_MATH

#include <corecrt.h>

_CRT_BEGIN_C_HEADER

#pragma warning(push)

#pragma warning(disable:4738) // storing 32-bit float result in memory, possible loss of performance

#pragma warning(disable:4820) // padding added after data member

#ifndef __assembler

// Definition of the _exception struct, which is passed to the matherr function

// when a floating point exception is detected:

struct _exception

{

int type; // exception type - see below

char* name; // name of function where error occurred

double arg1; // first argument to function

double arg2; // second argument (if any) to function

double retval; // value to be returned by function

};

// Definition of the _complex struct to be used by those who use the complex

// functions and want type checking.

#ifndef _COMPLEX_DEFINED

#define _COMPLEX_DEFINED

struct _complex

{

double x, y; // real and imaginary parts

};

#if _CRT_INTERNAL_NONSTDC_NAMES && !defined __cplusplus

// Non-ANSI name for compatibility

#define complex _complex

#endif

#endif

#endif // __assembler

// On x86, when not using /arch:SSE2 or greater, floating point operations

// are performed using the x87 instruction set and FLT_EVAL_METHOD is 2.

// (When /fp:fast is used, floating point operations may be consistent, so

// we use the default types.)

#if defined _M_IX86 && _M_IX86_FP < 2 && !defined _M_FP_FAST

typedef long double float_t;

typedef long double double_t;

#else

typedef float float_t;

typedef double double_t;

#endif

// 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

// 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

#ifndef _M_CEE_PURE

extern double const _HUGE;

#else

double const _HUGE = System::Double::PositiveInfinity;

#endif

#endif

#ifndef _HUGE_ENUF

#define _HUGE_ENUF 1e+300 // _HUGE_ENUF*_HUGE_ENUF must overflow

#endif

#define INFINITY ((float)(_HUGE_ENUF * _HUGE_ENUF))

#define HUGE_VAL ((double)INFINITY)

#define HUGE_VALF ((float)INFINITY)

#define HUGE_VALL ((long double)INFINITY)

#define NAN ((float)(INFINITY * 0.0F))

#define _DENORM (-2)

#define _FINITE (-1)

#define _INFCODE 1

#define _NANCODE 2

#define FP_INFINITE _INFCODE

#define FP_NAN _NANCODE

#define FP_NORMAL _FINITE

#define FP_SUBNORMAL _DENORM

#define FP_ZERO 0

#define _C2 1 // 0 if not 2's complement

#define FP_ILOGB0 (-0x7fffffff - _C2)

#define FP_ILOGBNAN 0x7fffffff

#define MATH_ERRNO 1

#define MATH_ERREXCEPT 2

#define math_errhandling (MATH_ERRNO | MATH_ERREXCEPT)

// Values for use as arguments to the _fperrraise function

#define _FE_DIVBYZERO 0x04

#define _FE_INEXACT 0x20

#define _FE_INVALID 0x01

#define _FE_OVERFLOW 0x08

#define _FE_UNDERFLOW 0x10

#define _D0_C 3 // little-endian, small long doubles

#define _D1_C 2

#define _D2_C 1

#define _D3_C 0

#define _DBIAS 0x3fe

#define _DOFF 4

#define _F0_C 1 // little-endian

#define _F1_C 0

#define _FBIAS 0x7e

#define _FOFF 7

#define _FRND 1

#define _L0_C 3 // little-endian, 64-bit long doubles

#define _L1_C 2

#define _L2_C 1

#define _L3_C 0

#define _LBIAS 0x3fe

#define _LOFF 4

// IEEE 754 double properties

#define _DFRAC ((unsigned short)((1 << _DOFF) - 1))

#define _DMASK ((unsigned short)(0x7fff & ~_DFRAC))

#define _DMAX ((unsigned short)((1 << (15 - _DOFF)) - 1))

#define _DSIGN ((unsigned short)0x8000)

// IEEE 754 float properties

#define _FFRAC ((unsigned short)((1 << _FOFF) - 1))

#define _FMASK ((unsigned short)(0x7fff & ~_FFRAC))

#define _FMAX ((unsigned short)((1 << (15 - _FOFF)) - 1))

#define _FSIGN ((unsigned short)0x8000)

// IEEE 754 long double properties

#define _LFRAC ((unsigned short)(-1))

#define _LMASK ((unsigned short)0x7fff)

#define _LMAX ((unsigned short)0x7fff)

#define _LSIGN ((unsigned short)0x8000)

#define _DHUGE_EXP (int)(_DMAX * 900L / 1000)

#define _FHUGE_EXP (int)(_FMAX * 900L / 1000)

#define _LHUGE_EXP (int)(_LMAX * 900L / 1000)

#define _DSIGN_C(_Val) (((_double_val *)(char*)&(_Val))->_Sh[_D0_C] & _DSIGN)

#define _FSIGN_C(_Val) (((_float_val *)(char*)&(_Val))->_Sh[_F0_C] & _FSIGN)

#define _LSIGN_C(_Val) (((_ldouble_val*)(char*)&(_Val))->_Sh[_L0_C] & _LSIGN)

void __cdecl _fperrraise(_In_ int _Except);

_Check_return_ _ACRTIMP short __cdecl _dclass(_In_ double _X);

_Check_return_ _ACRTIMP short __cdecl _ldclass(_In_ long double _X);

_Check_return_ _ACRTIMP short __cdecl _fdclass(_In_ float _X);

_Check_return_ _ACRTIMP int __cdecl _dsign(_In_ double _X);

_Check_return_ _ACRTIMP int __cdecl _ldsign(_In_ long double _X);

_Check_return_ _ACRTIMP int __cdecl _fdsign(_In_ float _X);

_Check_return_ _ACRTIMP int __cdecl _dpcomp(_In_ double _X, _In_ double _Y);

_Check_return_ _ACRTIMP int __cdecl _ldpcomp(_In_ long double _X, _In_ long double _Y);

_Check_return_ _ACRTIMP int __cdecl _fdpcomp(_In_ float _X, _In_ float _Y);

_Check_return_ _ACRTIMP short __cdecl _dtest(_In_ double* _Px);

_Check_return_ _ACRTIMP short __cdecl _ldtest(_In_ long double* _Px);

_Check_return_ _ACRTIMP short __cdecl _fdtest(_In_ float* _Px);

_ACRTIMP short __cdecl _d_int(_Inout_ double* _Px, _In_ short _Xexp);

_ACRTIMP short __cdecl _ld_int(_Inout_ long double* _Px, _In_ short _Xexp);

_ACRTIMP short __cdecl _fd_int(_Inout_ float* _Px, _In_ short _Xexp);

_ACRTIMP short __cdecl _dscale(_Inout_ double* _Px, _In_ long _Lexp);

_ACRTIMP short __cdecl _ldscale(_Inout_ long double* _Px, _In_ long _Lexp);

_ACRTIMP short __cdecl _fdscale(_Inout_ float* _Px, _In_ long _Lexp);

_ACRTIMP short __cdecl _dunscale(_Out_ short* _Pex, _Inout_ double* _Px);

_ACRTIMP short __cdecl _ldunscale(_Out_ short* _Pex, _Inout_ long double* _Px);

_ACRTIMP short __cdecl _fdunscale(_Out_ short* _Pex, _Inout_ float* _Px);

_Check_return_ _ACRTIMP short __cdecl _dexp(_Inout_ double* _Px, _In_ double _Y, _In_ long _Eoff);

_Check_return_ _ACRTIMP short __cdecl _ldexp(_Inout_ long double* _Px, _In_ long double _Y, _In_ long _Eoff);

_Check_return_ _ACRTIMP short __cdecl _fdexp(_Inout_ float* _Px, _In_ float _Y, _In_ long _Eoff);

_Check_return_ _ACRTIMP short __cdecl _dnorm(_Inout_updates_(4) unsigned short* _Ps);

_Check_return_ _ACRTIMP short __cdecl _fdnorm(_Inout_updates_(2) unsigned short* _Ps);

_Check_return_ _ACRTIMP double __cdecl _dpoly(_In_ double _X, _In_reads_(_N) double const* _Tab, _In_ int _N);

_Check_return_ _ACRTIMP long double __cdecl _ldpoly(_In_ long double _X, _In_reads_(_N) long double const* _Tab, _In_ int _N);

_Check_return_ _ACRTIMP float __cdecl _fdpoly(_In_ float _X, _In_reads_(_N) float const* _Tab, _In_ int _N);

_Check_return_ _ACRTIMP double __cdecl _dlog(_In_ double _X, _In_ int _Baseflag);

_Check_return_ _ACRTIMP long double __cdecl _ldlog(_In_ long double _X, _In_ int _Baseflag);

_Check_return_ _ACRTIMP float __cdecl _fdlog(_In_ float _X, _In_ int _Baseflag);

_Check_return_ _ACRTIMP double __cdecl _dsin(_In_ double _X, _In_ unsigned int _Qoff);

_Check_return_ _ACRTIMP long double __cdecl _ldsin(_In_ long double _X, _In_ unsigned int _Qoff);

_Check_return_ _ACRTIMP float __cdecl _fdsin(_In_ float _X, _In_ unsigned int _Qoff);

// double declarations

typedef union

{ // pun floating type as integer array

unsigned short _Sh[4];

double _Val;

} _double_val;

// float declarations

typedef union

{ // pun floating type as integer array

unsigned short _Sh[2];

float _Val;

} _float_val;

// long double declarations

typedef union

{ // pun floating type as integer array

unsigned short _Sh[4];

long double _Val;

} _ldouble_val;

typedef union

{ // pun float types as integer array

unsigned short _Word[4];

float _Float;

double _Double;

long double _Long_double;

} _float_const;

extern const _float_const _Denorm_C, _Inf_C, _Nan_C, _Snan_C, _Hugeval_C;

extern const _float_const _FDenorm_C, _FInf_C, _FNan_C, _FSnan_C;

extern const _float_const _LDenorm_C, _LInf_C, _LNan_C, _LSnan_C;

extern const _float_const _Eps_C, _Rteps_C;

extern const _float_const _FEps_C, _FRteps_C;

extern const _float_const _LEps_C, _LRteps_C;

extern const double _Zero_C, _Xbig_C;

extern const float _FZero_C, _FXbig_C;

extern const long double _LZero_C, _LXbig_C;

#define _FP_LT 1

#define _FP_EQ 2

#define _FP_GT 4

#ifndef __cplusplus

#define _CLASS_ARG(_Val) __pragma(warning(suppress:6334))(sizeof ((_Val) + (float)0) == sizeof (float) ? 'f' : sizeof ((_Val) + (double)0) == sizeof (double) ? 'd' : 'l')

#define _CLASSIFY(_Val, _FFunc, _DFunc, _LDFunc) (_CLASS_ARG(_Val) == 'f' ? _FFunc((float)(_Val)) : _CLASS_ARG(_Val) == 'd' ? _DFunc((double)(_Val)) : _LDFunc((long double)(_Val)))

#define _CLASSIFY2(_Val1, _Val2, _FFunc, _DFunc, _LDFunc) (_CLASS_ARG((_Val1) + (_Val2)) == 'f' ? _FFunc((float)(_Val1), (float)(_Val2)) : _CLASS_ARG((_Val1) + (_Val2)) == 'd' ? _DFunc((double)(_Val1), (double)(_Val2)) : _LDFunc((long double)(_Val1), (long double)(_Val2)))

#define fpclassify(_Val) (_CLASSIFY(_Val, _fdclass, _dclass, _ldclass))

#define _FPCOMPARE(_Val1, _Val2) (_CLASSIFY2(_Val1, _Val2, _fdpcomp, _dpcomp, _ldpcomp))

#define isfinite(_Val) (fpclassify(_Val) <= 0)

#define isinf(_Val) (fpclassify(_Val) == FP_INFINITE)

#define isnan(_Val) (fpclassify(_Val) == FP_NAN)

#define isnormal(_Val) (fpclassify(_Val) == FP_NORMAL)

#define signbit(_Val) (_CLASSIFY(_Val, _fdsign, _dsign, _ldsign))

#define isgreater(x, y) ((_FPCOMPARE(x, y) & _FP_GT) != 0)

#define isgreaterequal(x, y) ((_FPCOMPARE(x, y) & (_FP_EQ | _FP_GT)) != 0)

#define isless(x, y) ((_FPCOMPARE(x, y) & _FP_LT) != 0)

#define islessequal(x, y) ((_FPCOMPARE(x, y) & (_FP_LT | _FP_EQ)) != 0)

#define islessgreater(x, y) ((_FPCOMPARE(x, y) & (_FP_LT | _FP_GT)) != 0)

#define isunordered(x, y) (_FPCOMPARE(x, y) == 0)

#else // __cplusplus

extern "C++"

{

_Check_return_ inline int fpclassify(_In_ float _X) throw()

{

return _fdtest(&_X);

}

_Check_return_ inline int fpclassify(_In_ double _X) throw()

{

return _dtest(&_X);

}

_Check_return_ inline int fpclassify(_In_ long double _X) throw()

{

return _ldtest(&_X);

}

_Check_return_ inline bool signbit(_In_ float _X) throw()

{

return _fdsign(_X) != 0;

}

_Check_return_ inline bool signbit(_In_ double _X) throw()

{

return _dsign(_X) != 0;

}

_Check_return_ inline bool signbit(_In_ long double _X) throw()

{

return _ldsign(_X) != 0;

}

_Check_return_ inline int _fpcomp(_In_ float _X, _In_ float _Y) throw()

{

return _fdpcomp(_X, _Y);

}

_Check_return_ inline int _fpcomp(_In_ double _X, _In_ double _Y) throw()

{

return _dpcomp(_X, _Y);

}

_Check_return_ inline int _fpcomp(_In_ long double _X, _In_ long double _Y) throw()

{

return _ldpcomp(_X, _Y);

}

template <class _Trc, class _Tre> struct _Combined_type

{ // determine combined type

typedef float _Type;

};

template <> struct _Combined_type<float, double>

{ // determine combined type

typedef double _Type;

};

template <> struct _Combined_type<float, long double>

{ // determine combined type

typedef long double _Type;

};

template <class _Ty, class _T2> struct _Real_widened

{ // determine widened real type

typedef long double _Type;

};

template <> struct _Real_widened<float, float>

{ // determine widened real type

typedef float _Type;

};

template <> struct _Real_widened<float, double>

{ // determine widened real type

typedef double _Type;

};

template <> struct _Real_widened<double, float>

{ // determine widened real type

typedef double _Type;

};

template <> struct _Real_widened<double, double>

{ // determine widened real type

typedef double _Type;

};

template <class _Ty> struct _Real_type

{ // determine equivalent real type

typedef double _Type; // default is double

};

template <> struct _Real_type<float>

{ // determine equivalent real type

typedef float _Type;

};

template <> struct _Real_type<long double>

{ // determine equivalent real type

typedef long double _Type;

};

template <class _T1, class _T2>

_Check_return_ inline int _fpcomp(_In_ _T1 _X, _In_ _T2 _Y) throw()

{ // compare _Left and _Right

typedef typename _Combined_type<float,

typename _Real_widened<

typename _Real_type<_T1>::_Type,

typename _Real_type<_T2>::_Type>::_Type>::_Type _Tw;

return _fpcomp((_Tw)_X, (_Tw)_Y);

}

template <class _Ty>

_Check_return_ inline bool isfinite(_In_ _Ty _X) throw()

{

return fpclassify(_X) <= 0;

}

template <class _Ty>

_Check_return_ inline bool isinf(_In_ _Ty _X) throw()

{

return fpclassify(_X) == FP_INFINITE;

}

template <class _Ty>

_Check_return_ inline bool isnan(_In_ _Ty _X) throw()

{

return fpclassify(_X) == FP_NAN;

}

template <class _Ty>

_Check_return_ inline bool isnormal(_In_ _Ty _X) throw()

{

return fpclassify(_X) == FP_NORMAL;

}

template <class _Ty1, class _Ty2>

_Check_return_ inline bool isgreater(_In_ _Ty1 _X, _In_ _Ty2 _Y) throw()

{

return (_fpcomp(_X, _Y) & _FP_GT) != 0;

}

template <class _Ty1, class _Ty2>

_Check_return_ inline bool isgreaterequal(_In_ _Ty1 _X, _In_ _Ty2 _Y) throw()

{

return (_fpcomp(_X, _Y) & (_FP_EQ | _FP_GT)) != 0;

}

template <class _Ty1, class _Ty2>

_Check_return_ inline bool isless(_In_ _Ty1 _X, _In_ _Ty2 _Y) throw()

{

return (_fpcomp(_X, _Y) & _FP_LT) != 0;

}

template <class _Ty1, class _Ty2>

_Check_return_ inline bool islessequal(_In_ _Ty1 _X, _In_ _Ty2 _Y) throw()

{

return (_fpcomp(_X, _Y) & (_FP_LT | _FP_EQ)) != 0;

}

template <class _Ty1, class _Ty2>

_Check_return_ inline bool islessgreater(_In_ _Ty1 _X, _In_ _Ty2 _Y) throw()

{

return (_fpcomp(_X, _Y) & (_FP_LT | _FP_GT)) != 0;

}

template <class _Ty1, class _Ty2>

_Check_return_ inline bool isunordered(_In_ _Ty1 _X, _In_ _Ty2 _Y) throw()

{

return _fpcomp(_X, _Y) == 0;

}

} // extern "C++"

#endif // __cplusplus

#if _CRT_FUNCTIONS_REQUIRED

_Check_return_ int __cdecl abs(_In_ int _X);

_Check_return_ long __cdecl labs(_In_ long _X);

_Check_return_ long long __cdecl llabs(_In_ long long _X);

_Check_return_ double __cdecl acos(_In_ double _X);

_Check_return_ double __cdecl asin(_In_ double _X);

_Check_return_ double __cdecl atan(_In_ double _X);

_Check_return_ double __cdecl atan2(_In_ double _Y, _In_ double _X);

_Check_return_ double __cdecl cos(_In_ double _X);

_Check_return_ double __cdecl cosh(_In_ double _X);

_Check_return_ double __cdecl exp(_In_ double _X);

_Check_return_ _CRT_JIT_INTRINSIC double __cdecl fabs(_In_ double _X);

_Check_return_ double __cdecl fmod(_In_ double _X, _In_ double _Y);

_Check_return_ double __cdecl log(_In_ double _X);

_Check_return_ double __cdecl log10(_In_ double _X);

_Check_return_ double __cdecl pow(_In_ double _X, _In_ double _Y);

_Check_return_ double __cdecl sin(_In_ double _X);

_Check_return_ double __cdecl sinh(_In_ double _X);

_Check_return_ _CRT_JIT_INTRINSIC double __cdecl sqrt(_In_ double _X);

_Check_return_ double __cdecl tan(_In_ double _X);

_Check_return_ double __cdecl tanh(_In_ double _X);

_Check_return_ _ACRTIMP double __cdecl acosh(_In_ double _X);

_Check_return_ _ACRTIMP double __cdecl asinh(_In_ double _X);

_Check_return_ _ACRTIMP double __cdecl atanh(_In_ double _X);

_Check_return_ _ACRTIMP double __cdecl atof(_In_z_ char const* _String);

_Check_return_ _ACRTIMP double __cdecl _atof_l(_In_z_ char const* _String, _In_opt_ _locale_t _Locale);

_Check_return_ _ACRTIMP double __cdecl _cabs(_In_ struct _complex _Complex_value);

_Check_return_ _ACRTIMP double __cdecl cbrt(_In_ double _X);

_Check_return_ _ACRTIMP double __cdecl ceil(_In_ double _X);

_Check_return_ _ACRTIMP double __cdecl _chgsign(_In_ double _X);

_Check_return_ _ACRTIMP double __cdecl copysign(_In_ double _Number, _In_ double _Sign);

_Check_return_ _ACRTIMP double __cdecl _copysign(_In_ double _Number, _In_ double _Sign);

_Check_return_ _ACRTIMP double __cdecl erf(_In_ double _X);

_Check_return_ _ACRTIMP double __cdecl erfc(_In_ double _X);

_Check_return_ _ACRTIMP double __cdecl exp2(_In_ double _X);

_Check_return_ _ACRTIMP double __cdecl expm1(_In_ double _X);

_Check_return_ _ACRTIMP double __cdecl fdim(_In_ double _X, _In_ double _Y);

_Check_return_ _ACRTIMP double __cdecl floor(_In_ double _X);

_Check_return_ _ACRTIMP double __cdecl fma(_In_ double _X, _In_ double _Y, _In_ double _Z);

_Check_return_ _ACRTIMP double __cdecl fmax(_In_ double _X, _In_ double _Y);

_Check_return_ _ACRTIMP double __cdecl fmin(_In_ double _X, _In_ double _Y);

_Check_return_ _ACRTIMP double __cdecl frexp(_In_ double _X, _Out_ int* _Y);

_Check_return_ _ACRTIMP double __cdecl hypot(_In_ double _X, _In_ double _Y);

_Check_return_ _ACRTIMP double __cdecl _hypot(_In_ double _X, _In_ double _Y);

_Check_return_ _ACRTIMP int __cdecl ilogb(_In_ double _X);

_Check_return_ _ACRTIMP double __cdecl ldexp(_In_ double _X, _In_ int _Y);

_Check_return_ _ACRTIMP double __cdecl lgamma(_In_ double _X);

_Check_return_ _ACRTIMP long long __cdecl llrint(_In_ double _X);

_Check_return_ _ACRTIMP long long __cdecl llround(_In_ double _X);

_Check_return_ _ACRTIMP double __cdecl log1p(_In_ double _X);

_Check_return_ _ACRTIMP double __cdecl log2(_In_ double _X);

_Check_return_ _ACRTIMP double __cdecl logb(_In_ double _X);

_Check_return_ _ACRTIMP long __cdecl lrint(_In_ double _X);

_Check_return_ _ACRTIMP long __cdecl lround(_In_ double _X);

int __CRTDECL _matherr(_Inout_ struct _exception* _Except);

_Check_return_ _ACRTIMP double __cdecl modf(_In_ double _X, _Out_ double* _Y);

_Check_return_ _ACRTIMP double __cdecl nan(_In_ char const* _X);

_Check_return_ _ACRTIMP double __cdecl nearbyint(_In_ double _X);

_Check_return_ _ACRTIMP double __cdecl nextafter(_In_ double _X, _In_ double _Y);

_Check_return_ _ACRTIMP double __cdecl nexttoward(_In_ double _X, _In_ long double _Y);

_Check_return_ _ACRTIMP double __cdecl remainder(_In_ double _X, _In_ double _Y);

_Check_return_ _ACRTIMP double __cdecl remquo(_In_ double _X, _In_ double _Y, _Out_ int* _Z);

_Check_return_ _ACRTIMP double __cdecl rint(_In_ double _X);

_Check_return_ _ACRTIMP double __cdecl round(_In_ double _X);

_Check_return_ _ACRTIMP double __cdecl scalbln(_In_ double _X, _In_ long _Y);

_Check_return_ _ACRTIMP double __cdecl scalbn(_In_ double _X, _In_ int _Y);

_Check_return_ _ACRTIMP double __cdecl tgamma(_In_ double _X);

_Check_return_ _ACRTIMP double __cdecl trunc(_In_ double _X);

_Check_return_ _ACRTIMP double __cdecl _j0(_In_ double _X );

_Check_return_ _ACRTIMP double __cdecl _j1(_In_ double _X );

_Check_return_ _ACRTIMP double __cdecl _jn(int _X, _In_ double _Y);

_Check_return_ _ACRTIMP double __cdecl _y0(_In_ double _X);

_Check_return_ _ACRTIMP double __cdecl _y1(_In_ double _X);

_Check_return_ _ACRTIMP double __cdecl _yn(_In_ int _X, _In_ double _Y);

_Check_return_ _ACRTIMP float __cdecl acoshf(_In_ float _X);

_Check_return_ _ACRTIMP float __cdecl asinhf(_In_ float _X);

_Check_return_ _ACRTIMP float __cdecl atanhf(_In_ float _X);

_Check_return_ _ACRTIMP float __cdecl cbrtf(_In_ float _X);

_Check_return_ _ACRTIMP float __cdecl _chgsignf(_In_ float _X);

_Check_return_ _ACRTIMP float __cdecl copysignf(_In_ float _Number, _In_ float _Sign);

_Check_return_ _ACRTIMP float __cdecl _copysignf(_In_ float _Number, _In_ float _Sign);

_Check_return_ _ACRTIMP float __cdecl erff(_In_ float _X);

_Check_return_ _ACRTIMP float __cdecl erfcf(_In_ float _X);

_Check_return_ _ACRTIMP float __cdecl expm1f(_In_ float _X);

_Check_return_ _ACRTIMP float __cdecl exp2f(_In_ float _X);

_Check_return_ _ACRTIMP float __cdecl fdimf(_In_ float _X, _In_ float _Y);

_Check_return_ _ACRTIMP float __cdecl fmaf(_In_ float _X, _In_ float _Y, _In_ float _Z);

_Check_return_ _ACRTIMP float __cdecl fmaxf(_In_ float _X, _In_ float _Y);

_Check_return_ _ACRTIMP float __cdecl fminf(_In_ float _X, _In_ float _Y);

_Check_return_ _ACRTIMP float __cdecl _hypotf(_In_ float _X, _In_ float _Y);

_Check_return_ _ACRTIMP int __cdecl ilogbf(_In_ float _X);

_Check_return_ _ACRTIMP float __cdecl lgammaf(_In_ float _X);

_Check_return_ _ACRTIMP long long __cdecl llrintf(_In_ float _X);

_Check_return_ _ACRTIMP long long __cdecl llroundf(_In_ float _X);

_Check_return_ _ACRTIMP float __cdecl log1pf(_In_ float _X);

_Check_return_ _ACRTIMP float __cdecl log2f(_In_ float _X);

_Check_return_ _ACRTIMP float __cdecl logbf(_In_ float _X);

_Check_return_ _ACRTIMP long __cdecl lrintf(_In_ float _X);

_Check_return_ _ACRTIMP long __cdecl lroundf(_In_ float _X);

_Check_return_ _ACRTIMP float __cdecl nanf(_In_ char const* _X);

_Check_return_ _ACRTIMP float __cdecl nearbyintf(_In_ float _X);

_Check_return_ _ACRTIMP float __cdecl nextafterf(_In_ float _X, _In_ float _Y);

_Check_return_ _ACRTIMP float __cdecl nexttowardf(_In_ float _X, _In_ long double _Y);

_Check_return_ _ACRTIMP float __cdecl remainderf(_In_ float _X, _In_ float _Y);

_Check_return_ _ACRTIMP float __cdecl remquof(_In_ float _X, _In_ float _Y, _Out_ int* _Z);

_Check_return_ _ACRTIMP float __cdecl rintf(_In_ float _X);

_Check_return_ _ACRTIMP float __cdecl roundf(_In_ float _X);

_Check_return_ _ACRTIMP float __cdecl scalblnf(_In_ float _X, _In_ long _Y);

_Check_return_ _ACRTIMP float __cdecl scalbnf(_In_ float _X, _In_ int _Y);

_Check_return_ _ACRTIMP float __cdecl tgammaf(_In_ float _X);

_Check_return_ _ACRTIMP float __cdecl truncf(_In_ float _X);

#if defined _M_IX86

_Check_return_ _ACRTIMP int __cdecl _set_SSE2_enable(_In_ int _Flag);

#endif

#if defined _M_X64

_Check_return_ _ACRTIMP float __cdecl _logbf(_In_ float _X);

_Check_return_ _ACRTIMP float __cdecl _nextafterf(_In_ float _X, _In_ float _Y);

_Check_return_ _ACRTIMP int __cdecl _finitef(_In_ float _X);

_Check_return_ _ACRTIMP int __cdecl _isnanf(_In_ float _X);

_Check_return_ _ACRTIMP int __cdecl _fpclassf(_In_ float _X);

_Check_return_ _ACRTIMP int __cdecl _set_FMA3_enable(_In_ int _Flag);

_Check_return_ _ACRTIMP int __cdecl _get_FMA3_enable(void);

#elif defined _M_ARM || defined _M_ARM64 || defined _M_HYBRID_X86_ARM64

_Check_return_ _ACRTIMP int __cdecl _finitef(_In_ float _X);

_Check_return_ _ACRTIMP float __cdecl _logbf(_In_ float _X);

#endif

#if defined _M_X64 || defined _M_ARM || defined _M_ARM64 || defined _M_HYBRID_X86_ARM64 || defined _CORECRT_BUILD_APISET

_Check_return_ _ACRTIMP float __cdecl acosf(_In_ float _X);

_Check_return_ _ACRTIMP float __cdecl asinf(_In_ float _X);

_Check_return_ _ACRTIMP float __cdecl atan2f(_In_ float _Y, _In_ float _X);

_Check_return_ _ACRTIMP float __cdecl atanf(_In_ float _X);

_Check_return_ _ACRTIMP float __cdecl ceilf(_In_ float _X);

_Check_return_ _ACRTIMP float __cdecl cosf(_In_ float _X);

_Check_return_ _ACRTIMP float __cdecl coshf(_In_ float _X);

_Check_return_ _ACRTIMP float __cdecl expf(_In_ float _X);

#else

_Check_return_ __inline float __CRTDECL acosf(_In_ float _X)

{

return (float)acos(_X);

}

_Check_return_ __inline float __CRTDECL asinf(_In_ float _X)

{

return (float)asin(_X);

}

_Check_return_ __inline float __CRTDECL atan2f(_In_ float _Y, _In_ float _X)

{

return (float)atan2(_Y, _X);

}

_Check_return_ __inline float __CRTDECL atanf(_In_ float _X)

{

return (float)atan(_X);

}

_Check_return_ __inline float __CRTDECL ceilf(_In_ float _X)

{

return (float)ceil(_X);

}

_Check_return_ __inline float __CRTDECL cosf(_In_ float _X)

{

return (float)cos(_X);

}

_Check_return_ __inline float __CRTDECL coshf(_In_ float _X)

{

return (float)cosh(_X);

}

_Check_return_ __inline float __CRTDECL expf(_In_ float _X)

{

return (float)exp(_X);

}

#endif

#if defined _M_ARM || defined _M_ARM64 || defined _M_HYBRID_X86_ARM64

_Check_return_ _CRT_JIT_INTRINSIC _ACRTIMP float __cdecl fabsf(_In_ float _X);

#else

_Check_return_ __inline float __CRTDECL fabsf(_In_ float _X)

{

return (float)fabs(_X);

}

#endif

#if defined _M_X64 || defined _M_ARM || defined _M_ARM64 || defined _M_HYBRID_X86_ARM64

_Check_return_ _ACRTIMP float __cdecl floorf(_In_ float _X);

_Check_return_ _ACRTIMP float __cdecl fmodf(_In_ float _X, _In_ float _Y);

#else

_Check_return_ __inline float __CRTDECL floorf(_In_ float _X)

{

return (float)floor(_X);

}

_Check_return_ __inline float __CRTDECL fmodf(_In_ float _X, _In_ float _Y)

{

return (float)fmod(_X, _Y);

}

#endif

_Check_return_ __inline float __CRTDECL frexpf(_In_ float _X, _Out_ int *_Y)

{

return (float)frexp(_X, _Y);

}

_Check_return_ __inline float __CRTDECL hypotf(_In_ float _X, _In_ float _Y)

{

return _hypotf(_X, _Y);

}

_Check_return_ __inline float __CRTDECL ldexpf(_In_ float _X, _In_ int _Y)

{

return (float)ldexp(_X, _Y);

}

#if defined _M_X64 || defined _M_ARM || defined _M_ARM64 || defined _M_HYBRID_X86_ARM64 || defined _CORECRT_BUILD_APISET

_Check_return_ _ACRTIMP float __cdecl log10f(_In_ float _X);

_Check_return_ _ACRTIMP float __cdecl logf(_In_ float _X);

_Check_return_ _ACRTIMP float __cdecl modff(_In_ float _X, _Out_ float *_Y);

_Check_return_ _ACRTIMP float __cdecl powf(_In_ float _X, _In_ float _Y);

_Check_return_ _ACRTIMP float __cdecl sinf(_In_ float _X);

_Check_return_ _ACRTIMP float __cdecl sinhf(_In_ float _X);

_Check_return_ _ACRTIMP float __cdecl sqrtf(_In_ float _X);

_Check_return_ _ACRTIMP float __cdecl tanf(_In_ float _X);

_Check_return_ _ACRTIMP float __cdecl tanhf(_In_ float _X);

#else

_Check_return_ __inline float __CRTDECL log10f(_In_ float _X)

{

return (float)log10(_X);

}

_Check_return_ __inline float __CRTDECL logf(_In_ float _X)

{

return (float)log(_X);

}

_Check_return_ __inline float __CRTDECL modff(_In_ float _X, _Out_ float* _Y)

{

double _F, _I;

_F = modf(_X, &_I);

*_Y = (float)_I;

return (float)_F;

}

_Check_return_ __inline float __CRTDECL powf(_In_ float _X, _In_ float _Y)

{

return (float)pow(_X, _Y);

}

_Check_return_ __inline float __CRTDECL sinf(_In_ float _X)

{

return (float)sin(_X);

}

_Check_return_ __inline float __CRTDECL sinhf(_In_ float _X)

{

return (float)sinh(_X);

}

_Check_return_ __inline float __CRTDECL sqrtf(_In_ float _X)

{

return (float)sqrt(_X);

}

_Check_return_ __inline float __CRTDECL tanf(_In_ float _X)

{

return (float)tan(_X);

}

_Check_return_ __inline float __CRTDECL tanhf(_In_ float _X)

{

return (float)tanh(_X);

}

#endif

_Check_return_ _ACRTIMP long double __cdecl acoshl(_In_ long double _X);

_Check_return_ __inline long double __CRTDECL acosl(_In_ long double _X)

{

return acos((double)_X);

}

_Check_return_ _ACRTIMP long double __cdecl asinhl(_In_ long double _X);

_Check_return_ __inline long double __CRTDECL asinl(_In_ long double _X)

{

return asin((double)_X);

}

_Check_return_ __inline long double __CRTDECL atan2l(_In_ long double _Y, _In_ long double _X)

{

return atan2((double)_Y, (double)_X);

}

_Check_return_ _ACRTIMP long double __cdecl atanhl(_In_ long double _X);

_Check_return_ __inline long double __CRTDECL atanl(_In_ long double _X)

{

return atan((double)_X);

}

_Check_return_ _ACRTIMP long double __cdecl cbrtl(_In_ long double _X);

_Check_return_ __inline long double __CRTDECL ceill(_In_ long double _X)

{

return ceil((double)_X);

}

_Check_return_ __inline long double __CRTDECL _chgsignl(_In_ long double _X)

{

return _chgsign((double)_X);

}

_Check_return_ _ACRTIMP long double __cdecl copysignl(_In_ long double _Number, _In_ long double _Sign);

_Check_return_ __inline long double __CRTDECL _copysignl(_In_ long double _Number, _In_ long double _Sign)

{

return _copysign((double)_Number, (double)_Sign);

}

_Check_return_ __inline long double __CRTDECL coshl(_In_ long double _X)

{

return cosh((double)_X);

}

_Check_return_ __inline long double __CRTDECL cosl(_In_ long double _X)

{

return cos((double)_X);

}

_Check_return_ _ACRTIMP long double __cdecl erfl(_In_ long double _X);

_Check_return_ _ACRTIMP long double __cdecl erfcl(_In_ long double _X);

_Check_return_ __inline long double __CRTDECL expl(_In_ long double _X)

{

return exp((double)_X);

}

_Check_return_ _ACRTIMP long double __cdecl exp2l(_In_ long double _X);

_Check_return_ _ACRTIMP long double __cdecl expm1l(_In_ long double _X);

_Check_return_ __inline long double __CRTDECL fabsl(_In_ long double _X)

{

return fabs((double)_X);

}

_Check_return_ _ACRTIMP long double __cdecl fdiml(_In_ long double _X, _In_ long double _Y);

_Check_return_ __inline long double __CRTDECL floorl(_In_ long double _X)

{

return floor((double)_X);

}

_Check_return_ _ACRTIMP long double __cdecl fmal(_In_ long double _X, _In_ long double _Y, _In_ long double _Z);

_Check_return_ _ACRTIMP long double __cdecl fmaxl(_In_ long double _X, _In_ long double _Y);

_Check_return_ _ACRTIMP long double __cdecl fminl(_In_ long double _X, _In_ long double _Y);

_Check_return_ __inline long double __CRTDECL fmodl(_In_ long double _X, _In_ long double _Y)

{

return fmod((double)_X, (double)_Y);

}

_Check_return_ __inline long double __CRTDECL frexpl(_In_ long double _X, _Out_ int *_Y)

{

return frexp((double)_X, _Y);

}

_Check_return_ _ACRTIMP int __cdecl ilogbl(_In_ long double _X);

_Check_return_ __inline long double __CRTDECL _hypotl(_In_ long double _X, _In_ long double _Y)

{

return _hypot((double)_X, (double)_Y);

}

_Check_return_ __inline long double __CRTDECL hypotl(_In_ long double _X, _In_ long double _Y)

{

return _hypot((double)_X, (double)_Y);

}

_Check_return_ __inline long double __CRTDECL ldexpl(_In_ long double _X, _In_ int _Y)

{

return ldexp((double)_X, _Y);

}

_Check_return_ _ACRTIMP long double __cdecl lgammal(_In_ long double _X);

_Check_return_ _ACRTIMP long long __cdecl llrintl(_In_ long double _X);

_Check_return_ _ACRTIMP long long __cdecl llroundl(_In_ long double _X);

_Check_return_ __inline long double __CRTDECL logl(_In_ long double _X)

{

return log((double)_X);

}

_Check_return_ __inline long double __CRTDECL log10l(_In_ long double _X)

{

return log10((double)_X);

}

_Check_return_ _ACRTIMP long double __cdecl log1pl(_In_ long double _X);

_Check_return_ _ACRTIMP long double __cdecl log2l(_In_ long double _X);

_Check_return_ _ACRTIMP long double __cdecl logbl(_In_ long double _X);

_Check_return_ _ACRTIMP long __cdecl lrintl(_In_ long double _X);

_Check_return_ _ACRTIMP long __cdecl lroundl(_In_ long double _X);

_Check_return_ __inline long double __CRTDECL modfl(_In_ long double _X, _Out_ long double* _Y)

{

double _F, _I;

_F = modf((double)_X, &_I);

*_Y = _I;

return _F;

}

_Check_return_ _ACRTIMP long double __cdecl nanl(_In_ char const* _X);

_Check_return_ _ACRTIMP long double __cdecl nearbyintl(_In_ long double _X);

_Check_return_ _ACRTIMP long double __cdecl nextafterl(_In_ long double _X, _In_ long double _Y);

_Check_return_ _ACRTIMP long double __cdecl nexttowardl(_In_ long double _X, _In_ long double _Y);

_Check_return_ __inline long double __CRTDECL powl(_In_ long double _X, _In_ long double _Y)

{

return pow((double)_X, (double)_Y);

}

_Check_return_ _ACRTIMP long double __cdecl remainderl(_In_ long double _X, _In_ long double _Y);

_Check_return_ _ACRTIMP long double __cdecl remquol(_In_ long double _X, _In_ long double _Y, _Out_ int* _Z);

_Check_return_ _ACRTIMP long double __cdecl rintl(_In_ long double _X);

_Check_return_ _ACRTIMP long double __cdecl roundl(_In_ long double _X);

_Check_return_ _ACRTIMP long double __cdecl scalblnl(_In_ long double _X, _In_ long _Y);

_Check_return_ _ACRTIMP long double __cdecl scalbnl(_In_ long double _X, _In_ int _Y);

_Check_return_ __inline long double __CRTDECL sinhl(_In_ long double _X)

{

return sinh((double)_X);

}

_Check_return_ __inline long double __CRTDECL sinl(_In_ long double _X)

{

return sin((double)_X);

}

_Check_return_ __inline long double __CRTDECL sqrtl(_In_ long double _X)

{

return sqrt((double)_X);

}

_Check_return_ __inline long double __CRTDECL tanhl(_In_ long double _X)

{

return tanh((double)_X);

}

_Check_return_ __inline long double __CRTDECL tanl(_In_ long double _X)

{

return tan((double)_X);

}

_Check_return_ _ACRTIMP long double __cdecl tgammal(_In_ long double _X);

_Check_return_ _ACRTIMP long double __cdecl truncl(_In_ long double _X);

#ifndef __cplusplus

#define _matherrl _matherr

#endif

#endif // _CRT_FUNCTIONS_REQUIRED

#if _CRT_INTERNAL_NONSTDC_NAMES

#define DOMAIN _DOMAIN

#define SING _SING

#define OVERFLOW _OVERFLOW

#define UNDERFLOW _UNDERFLOW

#define TLOSS _TLOSS

#define PLOSS _PLOSS

#define matherr _matherr

#ifndef __assembler

#ifndef _M_CEE_PURE

extern double HUGE;

#else

double const HUGE = _HUGE;

#endif

_CRT_NONSTDC_DEPRECATE(_j0) _Check_return_ _ACRTIMP double __cdecl j0(_In_ double _X);

_CRT_NONSTDC_DEPRECATE(_j1) _Check_return_ _ACRTIMP double __cdecl j1(_In_ double _X);

_CRT_NONSTDC_DEPRECATE(_jn) _Check_return_ _ACRTIMP double __cdecl jn(_In_ int _X, _In_ double _Y);

_CRT_NONSTDC_DEPRECATE(_y0) _Check_return_ _ACRTIMP double __cdecl y0(_In_ double _X);

_CRT_NONSTDC_DEPRECATE(_y1) _Check_return_ _ACRTIMP double __cdecl y1(_In_ double _X);

_CRT_NONSTDC_DEPRECATE(_yn) _Check_return_ _ACRTIMP double __cdecl yn(_In_ int _X, _In_ double _Y);

#endif // !__assembler

#endif // _CRT_INTERNAL_NONSTDC_NAMES

#pragma warning(pop)

_CRT_END_C_HEADER