path: root/contrib/libs/cxxsupp/libcxx/include/math.h

// -*- C++ -*- 
//===---------------------------- math.h ----------------------------------===// 
// 
// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
// See https://llvm.org/LICENSE.txt for license information.
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
// 
//===----------------------------------------------------------------------===// 
 
#ifndef _LIBCPP_MATH_H 
#define _LIBCPP_MATH_H 
 
/* 
    math.h synopsis 
 
Macros: 
 
    HUGE_VAL 
    HUGE_VALF               // C99 
    HUGE_VALL               // C99 
    INFINITY                // C99 
    NAN                     // C99 
    FP_INFINITE             // C99 
    FP_NAN                  // C99 
    FP_NORMAL               // C99 
    FP_SUBNORMAL            // C99 
    FP_ZERO                 // C99 
    FP_FAST_FMA             // C99 
    FP_FAST_FMAF            // C99 
    FP_FAST_FMAL            // C99 
    FP_ILOGB0               // C99 
    FP_ILOGBNAN             // C99 
    MATH_ERRNO              // C99 
    MATH_ERREXCEPT          // C99 
    math_errhandling        // C99 
 
Types: 
 
    float_t                 // C99 
    double_t                // C99 
 
// C90 
 
floating_point abs(floating_point x); 
 
floating_point acos (arithmetic x); 
float          acosf(float x); 
long double    acosl(long double x); 
 
floating_point asin (arithmetic x); 
float          asinf(float x); 
long double    asinl(long double x); 
 
floating_point atan (arithmetic x); 
float          atanf(float x); 
long double    atanl(long double x); 
 
floating_point atan2 (arithmetic y, arithmetic x); 
float          atan2f(float y, float x); 
long double    atan2l(long double y, long double x); 
 
floating_point ceil (arithmetic x); 
float          ceilf(float x); 
long double    ceill(long double x); 
 
floating_point cos (arithmetic x); 
float          cosf(float x); 
long double    cosl(long double x); 
 
floating_point cosh (arithmetic x); 
float          coshf(float x); 
long double    coshl(long double x); 
 
floating_point exp (arithmetic x); 
float          expf(float x); 
long double    expl(long double x); 
 
floating_point fabs (arithmetic x); 
float          fabsf(float x); 
long double    fabsl(long double x); 
 
floating_point floor (arithmetic x); 
float          floorf(float x); 
long double    floorl(long double x); 
 
floating_point fmod (arithmetic x, arithmetic y); 
float          fmodf(float x, float y); 
long double    fmodl(long double x, long double y); 
 
floating_point frexp (arithmetic value, int* exp); 
float          frexpf(float value, int* exp); 
long double    frexpl(long double value, int* exp); 
 
floating_point ldexp (arithmetic value, int exp); 
float          ldexpf(float value, int exp); 
long double    ldexpl(long double value, int exp); 
 
floating_point log (arithmetic x); 
float          logf(float x); 
long double    logl(long double x); 
 
floating_point log10 (arithmetic x); 
float          log10f(float x); 
long double    log10l(long double x); 
 
floating_point modf (floating_point value, floating_point* iptr); 
float          modff(float value, float* iptr); 
long double    modfl(long double value, long double* iptr); 
 
floating_point pow (arithmetic x, arithmetic y); 
float          powf(float x, float y); 
long double    powl(long double x, long double y); 
 
floating_point sin (arithmetic x); 
float          sinf(float x); 
long double    sinl(long double x); 
 
floating_point sinh (arithmetic x); 
float          sinhf(float x); 
long double    sinhl(long double x); 
 
floating_point sqrt (arithmetic x); 
float          sqrtf(float x); 
long double    sqrtl(long double x); 
 
floating_point tan (arithmetic x); 
float          tanf(float x); 
long double    tanl(long double x); 
 
floating_point tanh (arithmetic x); 
float          tanhf(float x); 
long double    tanhl(long double x); 
 
//  C99 
 
bool signbit(arithmetic x); 
 
int fpclassify(arithmetic x); 
 
bool isfinite(arithmetic x); 
bool isinf(arithmetic x); 
bool isnan(arithmetic x); 
bool isnormal(arithmetic x); 
 
bool isgreater(arithmetic x, arithmetic y); 
bool isgreaterequal(arithmetic x, arithmetic y); 
bool isless(arithmetic x, arithmetic y); 
bool islessequal(arithmetic x, arithmetic y); 
bool islessgreater(arithmetic x, arithmetic y); 
bool isunordered(arithmetic x, arithmetic y); 
 
floating_point acosh (arithmetic x); 
float          acoshf(float x); 
long double    acoshl(long double x); 
 
floating_point asinh (arithmetic x); 
float          asinhf(float x); 
long double    asinhl(long double x); 
 
floating_point atanh (arithmetic x); 
float          atanhf(float x); 
long double    atanhl(long double x); 
 
floating_point cbrt (arithmetic x); 
float          cbrtf(float x); 
long double    cbrtl(long double x); 
 
floating_point copysign (arithmetic x, arithmetic y); 
float          copysignf(float x, float y); 
long double    copysignl(long double x, long double y); 
 
floating_point erf (arithmetic x); 
float          erff(float x); 
long double    erfl(long double x); 
 
floating_point erfc (arithmetic x); 
float          erfcf(float x); 
long double    erfcl(long double x); 
 
floating_point exp2 (arithmetic x); 
float          exp2f(float x); 
long double    exp2l(long double x); 
 
floating_point expm1 (arithmetic x); 
float          expm1f(float x); 
long double    expm1l(long double x); 
 
floating_point fdim (arithmetic x, arithmetic y); 
float          fdimf(float x, float y); 
long double    fdiml(long double x, long double y); 
 
floating_point fma (arithmetic x, arithmetic y, arithmetic z); 
float          fmaf(float x, float y, float z); 
long double    fmal(long double x, long double y, long double z); 
 
floating_point fmax (arithmetic x, arithmetic y); 
float          fmaxf(float x, float y); 
long double    fmaxl(long double x, long double y); 
 
floating_point fmin (arithmetic x, arithmetic y); 
float          fminf(float x, float y); 
long double    fminl(long double x, long double y); 
 
floating_point hypot (arithmetic x, arithmetic y); 
float          hypotf(float x, float y); 
long double    hypotl(long double x, long double y); 
 
int ilogb (arithmetic x); 
int ilogbf(float x); 
int ilogbl(long double x); 
 
floating_point lgamma (arithmetic x); 
float          lgammaf(float x); 
long double    lgammal(long double x); 
 
long long llrint (arithmetic x); 
long long llrintf(float x); 
long long llrintl(long double x); 
 
long long llround (arithmetic x); 
long long llroundf(float x); 
long long llroundl(long double x); 
 
floating_point log1p (arithmetic x); 
float          log1pf(float x); 
long double    log1pl(long double x); 
 
floating_point log2 (arithmetic x); 
float          log2f(float x); 
long double    log2l(long double x); 
 
floating_point logb (arithmetic x); 
float          logbf(float x); 
long double    logbl(long double x); 
 
long lrint (arithmetic x); 
long lrintf(float x); 
long lrintl(long double x); 
 
long lround (arithmetic x); 
long lroundf(float x); 
long lroundl(long double x); 
 
double      nan (const char* str); 
float       nanf(const char* str); 
long double nanl(const char* str); 
 
floating_point nearbyint (arithmetic x); 
float          nearbyintf(float x); 
long double    nearbyintl(long double x); 
 
floating_point nextafter (arithmetic x, arithmetic y); 
float          nextafterf(float x, float y); 
long double    nextafterl(long double x, long double y); 
 
floating_point nexttoward (arithmetic x, long double y); 
float          nexttowardf(float x, long double y); 
long double    nexttowardl(long double x, long double y); 
 
floating_point remainder (arithmetic x, arithmetic y); 
float          remainderf(float x, float y); 
long double    remainderl(long double x, long double y); 
 
floating_point remquo (arithmetic x, arithmetic y, int* pquo); 
float          remquof(float x, float y, int* pquo); 
long double    remquol(long double x, long double y, int* pquo); 
 
floating_point rint (arithmetic x); 
float          rintf(float x); 
long double    rintl(long double x); 
 
floating_point round (arithmetic x); 
float          roundf(float x); 
long double    roundl(long double x); 
 
floating_point scalbln (arithmetic x, long ex); 
float          scalblnf(float x, long ex); 
long double    scalblnl(long double x, long ex); 
 
floating_point scalbn (arithmetic x, int ex); 
float          scalbnf(float x, int ex); 
long double    scalbnl(long double x, int ex); 
 
floating_point tgamma (arithmetic x); 
float          tgammaf(float x); 
long double    tgammal(long double x); 
 
floating_point trunc (arithmetic x); 
float          truncf(float x); 
long double    truncl(long double x); 
 
*/ 
 
#include <__config> 
 
#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER) 
#pragma GCC system_header 
#endif 
 
#ifdef _LIBCPP_COMPILER_MSVC 
#include _LIBCPP_UCRT_INCLUDE(math.h) 
#else 
#include_next <math.h> 
#endif 
 
#ifdef __cplusplus 
 
// We support including .h headers inside 'extern "C"' contexts, so switch 
// back to C++ linkage before including these C++ headers. 
extern "C++" { 
 
#include <stdlib.h> 
#include <type_traits> 
#include <limits> 
 
// signbit 
 
#ifdef signbit 
 
template <class _A1> 
_LIBCPP_INLINE_VISIBILITY 
bool 
__libcpp_signbit(_A1 __lcpp_x) _NOEXCEPT 
{ 
#if __has_builtin(__builtin_signbit) 
    return __builtin_signbit(__lcpp_x); 
#else 
    return signbit(__lcpp_x); 
#endif 
} 
 
#undef signbit 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type 
signbit(_A1 __lcpp_x) _NOEXCEPT 
{ 
    return __libcpp_signbit((typename std::__promote<_A1>::type)__lcpp_x); 
} 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if< 
    std::is_integral<_A1>::value && std::is_signed<_A1>::value, bool>::type 
signbit(_A1 __lcpp_x) _NOEXCEPT 
{ return __lcpp_x < 0; } 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if< 
    std::is_integral<_A1>::value && !std::is_signed<_A1>::value, bool>::type 
signbit(_A1) _NOEXCEPT 
{ return false; } 
 
#elif defined(_LIBCPP_MSVCRT) 
 
template <typename _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type 
signbit(_A1 __lcpp_x) _NOEXCEPT 
{ 
  return ::signbit(static_cast<typename std::__promote<_A1>::type>(__lcpp_x)); 
} 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if< 
    std::is_integral<_A1>::value && std::is_signed<_A1>::value, bool>::type 
signbit(_A1 __lcpp_x) _NOEXCEPT 
{ return __lcpp_x < 0; } 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if< 
    std::is_integral<_A1>::value && !std::is_signed<_A1>::value, bool>::type 
signbit(_A1) _NOEXCEPT 
{ return false; } 
 
#endif // signbit 
 
// fpclassify 
 
#ifdef fpclassify 
 
template <class _A1> 
_LIBCPP_INLINE_VISIBILITY 
int 
__libcpp_fpclassify(_A1 __lcpp_x) _NOEXCEPT 
{ 
#if __has_builtin(__builtin_fpclassify) 
  return __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL, FP_SUBNORMAL, 
                                FP_ZERO, __lcpp_x); 
#else 
    return fpclassify(__lcpp_x); 
#endif 
} 
 
#undef fpclassify 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_floating_point<_A1>::value, int>::type 
fpclassify(_A1 __lcpp_x) _NOEXCEPT 
{ 
    return __libcpp_fpclassify((typename std::__promote<_A1>::type)__lcpp_x); 
} 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, int>::type 
fpclassify(_A1 __lcpp_x) _NOEXCEPT 
{ return __lcpp_x == 0 ? FP_ZERO : FP_NORMAL; } 
 
#elif defined(_LIBCPP_MSVCRT) 
 
template <typename _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type 
fpclassify(_A1 __lcpp_x) _NOEXCEPT 
{ 
  return ::fpclassify(static_cast<typename std::__promote<_A1>::type>(__lcpp_x)); 
} 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, int>::type 
fpclassify(_A1 __lcpp_x) _NOEXCEPT 
{ return __lcpp_x == 0 ? FP_ZERO : FP_NORMAL; } 
 
#endif // fpclassify 
 
// isfinite 
 
#ifdef isfinite 
 
template <class _A1> 
_LIBCPP_INLINE_VISIBILITY 
bool 
__libcpp_isfinite(_A1 __lcpp_x) _NOEXCEPT 
{ 
#if __has_builtin(__builtin_isfinite) 
    return __builtin_isfinite(__lcpp_x); 
#else 
    return isfinite(__lcpp_x); 
#endif 
} 
 
#undef isfinite 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if< 
    std::is_arithmetic<_A1>::value && std::numeric_limits<_A1>::has_infinity, 
    bool>::type 
isfinite(_A1 __lcpp_x) _NOEXCEPT 
{ 
    return __libcpp_isfinite((typename std::__promote<_A1>::type)__lcpp_x); 
} 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if< 
    std::is_arithmetic<_A1>::value && !std::numeric_limits<_A1>::has_infinity, 
    bool>::type 
isfinite(_A1) _NOEXCEPT 
{ return true; } 
 
#endif // isfinite 
 
// isinf 
 
#ifdef isinf 
 
template <class _A1> 
_LIBCPP_INLINE_VISIBILITY 
bool 
__libcpp_isinf(_A1 __lcpp_x) _NOEXCEPT 
{ 
#if __has_builtin(__builtin_isinf) 
    return __builtin_isinf(__lcpp_x); 
#else 
    return isinf(__lcpp_x); 
#endif 
} 
 
#undef isinf 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if< 
    std::is_arithmetic<_A1>::value && std::numeric_limits<_A1>::has_infinity, 
    bool>::type 
isinf(_A1 __lcpp_x) _NOEXCEPT 
{ 
    return __libcpp_isinf((typename std::__promote<_A1>::type)__lcpp_x); 
} 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if< 
    std::is_arithmetic<_A1>::value && !std::numeric_limits<_A1>::has_infinity, 
    bool>::type 
isinf(_A1) _NOEXCEPT 
{ return false; } 
 
#if defined(_LIBCPP_PREFERRED_OVERLOAD) && !defined(__CUDACC__) 
inline _LIBCPP_INLINE_VISIBILITY 
bool 
isinf(float __lcpp_x) _NOEXCEPT { return __libcpp_isinf(__lcpp_x); } 
 
inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_PREFERRED_OVERLOAD 
bool 
isinf(double __lcpp_x) _NOEXCEPT { return __libcpp_isinf(__lcpp_x); } 
 
inline _LIBCPP_INLINE_VISIBILITY 
bool 
isinf(long double __lcpp_x) _NOEXCEPT { return __libcpp_isinf(__lcpp_x); } 
#endif 
 
#endif // isinf 
 
// isnan 
 
#ifdef isnan 
 
template <class _A1> 
_LIBCPP_INLINE_VISIBILITY 
bool 
__libcpp_isnan(_A1 __lcpp_x) _NOEXCEPT 
{ 
#if __has_builtin(__builtin_isnan) 
    return __builtin_isnan(__lcpp_x); 
#else 
    return isnan(__lcpp_x); 
#endif 
} 
 
#undef isnan 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type 
isnan(_A1 __lcpp_x) _NOEXCEPT 
{ 
    return __libcpp_isnan((typename std::__promote<_A1>::type)__lcpp_x); 
} 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, bool>::type 
isnan(_A1) _NOEXCEPT 
{ return false; } 
 
#if defined(_LIBCPP_PREFERRED_OVERLOAD) && !defined(__CUDACC__) 
inline _LIBCPP_INLINE_VISIBILITY 
bool 
isnan(float __lcpp_x) _NOEXCEPT { return __libcpp_isnan(__lcpp_x); } 
 
inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_PREFERRED_OVERLOAD 
bool 
isnan(double __lcpp_x) _NOEXCEPT { return __libcpp_isnan(__lcpp_x); } 
 
inline _LIBCPP_INLINE_VISIBILITY 
bool 
isnan(long double __lcpp_x) _NOEXCEPT { return __libcpp_isnan(__lcpp_x); } 
#endif 
 
#endif // isnan 
 
// isnormal 
 
#ifdef isnormal 
 
template <class _A1> 
_LIBCPP_INLINE_VISIBILITY 
bool 
__libcpp_isnormal(_A1 __lcpp_x) _NOEXCEPT 
{ 
#if __has_builtin(__builtin_isnormal) 
    return __builtin_isnormal(__lcpp_x); 
#else 
    return isnormal(__lcpp_x); 
#endif 
} 
 
#undef isnormal 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type 
isnormal(_A1 __lcpp_x) _NOEXCEPT 
{ 
    return __libcpp_isnormal((typename std::__promote<_A1>::type)__lcpp_x); 
} 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, bool>::type 
isnormal(_A1 __lcpp_x) _NOEXCEPT 
{ return __lcpp_x != 0; } 
 
#endif // isnormal 
 
// isgreater 
 
#ifdef isgreater 
 
template <class _A1, class _A2> 
_LIBCPP_INLINE_VISIBILITY 
bool 
__libcpp_isgreater(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT 
{ 
    return isgreater(__lcpp_x, __lcpp_y); 
} 
 
#undef isgreater 
 
template <class _A1, class _A2> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if 
< 
    std::is_arithmetic<_A1>::value && 
    std::is_arithmetic<_A2>::value, 
    bool 
>::type 
isgreater(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT 
{ 
    typedef typename std::__promote<_A1, _A2>::type type; 
    return __libcpp_isgreater((type)__lcpp_x, (type)__lcpp_y); 
} 
 
#endif // isgreater 
 
// isgreaterequal 
 
#ifdef isgreaterequal 
 
template <class _A1, class _A2> 
_LIBCPP_INLINE_VISIBILITY 
bool 
__libcpp_isgreaterequal(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT 
{ 
    return isgreaterequal(__lcpp_x, __lcpp_y); 
} 
 
#undef isgreaterequal 
 
template <class _A1, class _A2> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if 
< 
    std::is_arithmetic<_A1>::value && 
    std::is_arithmetic<_A2>::value, 
    bool 
>::type 
isgreaterequal(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT 
{ 
    typedef typename std::__promote<_A1, _A2>::type type; 
    return __libcpp_isgreaterequal((type)__lcpp_x, (type)__lcpp_y); 
} 
 
#endif // isgreaterequal 
 
// isless 
 
#ifdef isless 
 
template <class _A1, class _A2> 
_LIBCPP_INLINE_VISIBILITY 
bool 
__libcpp_isless(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT 
{ 
    return isless(__lcpp_x, __lcpp_y); 
} 
 
#undef isless 
 
template <class _A1, class _A2> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if 
< 
    std::is_arithmetic<_A1>::value && 
    std::is_arithmetic<_A2>::value, 
    bool 
>::type 
isless(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT 
{ 
    typedef typename std::__promote<_A1, _A2>::type type; 
    return __libcpp_isless((type)__lcpp_x, (type)__lcpp_y); 
} 
 
#endif // isless 
 
// islessequal 
 
#ifdef islessequal 
 
template <class _A1, class _A2> 
_LIBCPP_INLINE_VISIBILITY 
bool 
__libcpp_islessequal(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT 
{ 
    return islessequal(__lcpp_x, __lcpp_y); 
} 
 
#undef islessequal 
 
template <class _A1, class _A2> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if 
< 
    std::is_arithmetic<_A1>::value && 
    std::is_arithmetic<_A2>::value, 
    bool 
>::type 
islessequal(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT 
{ 
    typedef typename std::__promote<_A1, _A2>::type type; 
    return __libcpp_islessequal((type)__lcpp_x, (type)__lcpp_y); 
} 
 
#endif // islessequal 
 
// islessgreater 
 
#ifdef islessgreater 
 
template <class _A1, class _A2> 
_LIBCPP_INLINE_VISIBILITY 
bool 
__libcpp_islessgreater(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT 
{ 
    return islessgreater(__lcpp_x, __lcpp_y); 
} 
 
#undef islessgreater 
 
template <class _A1, class _A2> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if 
< 
    std::is_arithmetic<_A1>::value && 
    std::is_arithmetic<_A2>::value, 
    bool 
>::type 
islessgreater(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT 
{ 
    typedef typename std::__promote<_A1, _A2>::type type; 
    return __libcpp_islessgreater((type)__lcpp_x, (type)__lcpp_y); 
} 
 
#endif // islessgreater 
 
// isunordered 
 
#ifdef isunordered 
 
template <class _A1, class _A2> 
_LIBCPP_INLINE_VISIBILITY 
bool 
__libcpp_isunordered(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT 
{ 
    return isunordered(__lcpp_x, __lcpp_y); 
} 
 
#undef isunordered 
 
template <class _A1, class _A2> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if 
< 
    std::is_arithmetic<_A1>::value && 
    std::is_arithmetic<_A2>::value, 
    bool 
>::type 
isunordered(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT 
{ 
    typedef typename std::__promote<_A1, _A2>::type type; 
    return __libcpp_isunordered((type)__lcpp_x, (type)__lcpp_y); 
} 
 
#endif // isunordered 
 
// abs 
// 
// handled in stdlib.h 
 
// div 
// 
// handled in stdlib.h 
 
// acos 
 
#if !(defined(_AIX) || defined(__sun__)) 
inline _LIBCPP_INLINE_VISIBILITY float       acos(float __lcpp_x) _NOEXCEPT       {return ::acosf(__lcpp_x);} 
inline _LIBCPP_INLINE_VISIBILITY long double acos(long double __lcpp_x) _NOEXCEPT {return ::acosl(__lcpp_x);} 
#endif 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, double>::type 
acos(_A1 __lcpp_x) _NOEXCEPT {return ::acos((double)__lcpp_x);} 
 
// asin 
 
#if !(defined(_AIX) || defined(__sun__)) 
inline _LIBCPP_INLINE_VISIBILITY float       asin(float __lcpp_x) _NOEXCEPT       {return ::asinf(__lcpp_x);} 
inline _LIBCPP_INLINE_VISIBILITY long double asin(long double __lcpp_x) _NOEXCEPT {return ::asinl(__lcpp_x);} 
#endif 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, double>::type 
asin(_A1 __lcpp_x) _NOEXCEPT {return ::asin((double)__lcpp_x);} 
 
// atan 
 
#if !(defined(_AIX) || defined(__sun__)) 
inline _LIBCPP_INLINE_VISIBILITY float       atan(float __lcpp_x) _NOEXCEPT       {return ::atanf(__lcpp_x);} 
inline _LIBCPP_INLINE_VISIBILITY long double atan(long double __lcpp_x) _NOEXCEPT {return ::atanl(__lcpp_x);} 
#endif 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, double>::type 
atan(_A1 __lcpp_x) _NOEXCEPT {return ::atan((double)__lcpp_x);} 
 
// atan2 
 
#if !(defined(_AIX) || defined(__sun__)) 
inline _LIBCPP_INLINE_VISIBILITY float       atan2(float __lcpp_y, float __lcpp_x) _NOEXCEPT             {return ::atan2f(__lcpp_y, __lcpp_x);} 
inline _LIBCPP_INLINE_VISIBILITY long double atan2(long double __lcpp_y, long double __lcpp_x) _NOEXCEPT {return ::atan2l(__lcpp_y, __lcpp_x);} 
#endif 
 
template <class _A1, class _A2> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::__enable_if_t 
< 
    std::is_arithmetic<_A1>::value && 
    std::is_arithmetic<_A2>::value, 
    std::__promote<_A1, _A2> 
>::type 
atan2(_A1 __lcpp_y, _A2 __lcpp_x) _NOEXCEPT 
{ 
    typedef typename std::__promote<_A1, _A2>::type __result_type; 
    static_assert((!(std::_IsSame<_A1, __result_type>::value && 
                     std::_IsSame<_A2, __result_type>::value)), ""); 
    return ::atan2((__result_type)__lcpp_y, (__result_type)__lcpp_x); 
} 
 
// ceil 
 
#if !(defined(_AIX) || defined(__sun__)) 
inline _LIBCPP_INLINE_VISIBILITY float       ceil(float __lcpp_x) _NOEXCEPT       {return ::ceilf(__lcpp_x);} 
inline _LIBCPP_INLINE_VISIBILITY long double ceil(long double __lcpp_x) _NOEXCEPT {return ::ceill(__lcpp_x);} 
#endif 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, double>::type 
ceil(_A1 __lcpp_x) _NOEXCEPT {return ::ceil((double)__lcpp_x);} 
 
// cos 
 
#if !(defined(_AIX) || defined(__sun__)) 
inline _LIBCPP_INLINE_VISIBILITY float       cos(float __lcpp_x) _NOEXCEPT       {return ::cosf(__lcpp_x);} 
inline _LIBCPP_INLINE_VISIBILITY long double cos(long double __lcpp_x) _NOEXCEPT {return ::cosl(__lcpp_x);} 
#endif 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, double>::type 
cos(_A1 __lcpp_x) _NOEXCEPT {return ::cos((double)__lcpp_x);} 
 
// cosh 
 
#if !(defined(_AIX) || defined(__sun__)) 
inline _LIBCPP_INLINE_VISIBILITY float       cosh(float __lcpp_x) _NOEXCEPT       {return ::coshf(__lcpp_x);} 
inline _LIBCPP_INLINE_VISIBILITY long double cosh(long double __lcpp_x) _NOEXCEPT {return ::coshl(__lcpp_x);} 
#endif 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, double>::type 
cosh(_A1 __lcpp_x) _NOEXCEPT {return ::cosh((double)__lcpp_x);} 
 
// exp 
 
#if !(defined(_AIX) || defined(__sun__)) 
inline _LIBCPP_INLINE_VISIBILITY float       exp(float __lcpp_x) _NOEXCEPT       {return ::expf(__lcpp_x);} 
inline _LIBCPP_INLINE_VISIBILITY long double exp(long double __lcpp_x) _NOEXCEPT {return ::expl(__lcpp_x);} 
#endif 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, double>::type 
exp(_A1 __lcpp_x) _NOEXCEPT {return ::exp((double)__lcpp_x);} 
 
// fabs 
 
#if !(defined(_AIX) || defined(__sun__)) 
inline _LIBCPP_INLINE_VISIBILITY float       fabs(float __lcpp_x) _NOEXCEPT       {return ::fabsf(__lcpp_x);} 
inline _LIBCPP_INLINE_VISIBILITY long double fabs(long double __lcpp_x) _NOEXCEPT {return ::fabsl(__lcpp_x);} 
#endif 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, double>::type 
fabs(_A1 __lcpp_x) _NOEXCEPT {return ::fabs((double)__lcpp_x);} 
 
// floor 
 
#if !(defined(_AIX) || defined(__sun__)) 
inline _LIBCPP_INLINE_VISIBILITY float       floor(float __lcpp_x) _NOEXCEPT       {return ::floorf(__lcpp_x);} 
inline _LIBCPP_INLINE_VISIBILITY long double floor(long double __lcpp_x) _NOEXCEPT {return ::floorl(__lcpp_x);} 
#endif 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, double>::type 
floor(_A1 __lcpp_x) _NOEXCEPT {return ::floor((double)__lcpp_x);} 
 
// fmod 
 
#if !(defined(_AIX) || defined(__sun__)) 
inline _LIBCPP_INLINE_VISIBILITY float       fmod(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return ::fmodf(__lcpp_x, __lcpp_y);} 
inline _LIBCPP_INLINE_VISIBILITY long double fmod(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::fmodl(__lcpp_x, __lcpp_y);} 
#endif 
 
template <class _A1, class _A2> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::__enable_if_t 
< 
    std::is_arithmetic<_A1>::value && 
    std::is_arithmetic<_A2>::value, 
    std::__promote<_A1, _A2> 
>::type 
fmod(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT 
{ 
    typedef typename std::__promote<_A1, _A2>::type __result_type; 
    static_assert((!(std::_IsSame<_A1, __result_type>::value && 
                     std::_IsSame<_A2, __result_type>::value)), ""); 
    return ::fmod((__result_type)__lcpp_x, (__result_type)__lcpp_y); 
} 
 
// frexp 
 
#if !(defined(_AIX) || defined(__sun__)) 
inline _LIBCPP_INLINE_VISIBILITY float       frexp(float __lcpp_x, int* __lcpp_e) _NOEXCEPT       {return ::frexpf(__lcpp_x, __lcpp_e);} 
inline _LIBCPP_INLINE_VISIBILITY long double frexp(long double __lcpp_x, int* __lcpp_e) _NOEXCEPT {return ::frexpl(__lcpp_x, __lcpp_e);} 
#endif 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, double>::type 
frexp(_A1 __lcpp_x, int* __lcpp_e) _NOEXCEPT {return ::frexp((double)__lcpp_x, __lcpp_e);} 
 
// ldexp 
 
#if !(defined(_AIX) || defined(__sun__)) 
inline _LIBCPP_INLINE_VISIBILITY float       ldexp(float __lcpp_x, int __lcpp_e) _NOEXCEPT       {return ::ldexpf(__lcpp_x, __lcpp_e);} 
inline _LIBCPP_INLINE_VISIBILITY long double ldexp(long double __lcpp_x, int __lcpp_e) _NOEXCEPT {return ::ldexpl(__lcpp_x, __lcpp_e);} 
#endif 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, double>::type 
ldexp(_A1 __lcpp_x, int __lcpp_e) _NOEXCEPT {return ::ldexp((double)__lcpp_x, __lcpp_e);} 
 
// log 
 
#if !(defined(_AIX) || defined(__sun__)) 
inline _LIBCPP_INLINE_VISIBILITY float       log(float __lcpp_x) _NOEXCEPT       {return ::logf(__lcpp_x);} 
inline _LIBCPP_INLINE_VISIBILITY long double log(long double __lcpp_x) _NOEXCEPT {return ::logl(__lcpp_x);} 
#endif 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, double>::type 
log(_A1 __lcpp_x) _NOEXCEPT {return ::log((double)__lcpp_x);} 
 
// log10 
 
#if !(defined(_AIX) || defined(__sun__)) 
inline _LIBCPP_INLINE_VISIBILITY float       log10(float __lcpp_x) _NOEXCEPT       {return ::log10f(__lcpp_x);} 
inline _LIBCPP_INLINE_VISIBILITY long double log10(long double __lcpp_x) _NOEXCEPT {return ::log10l(__lcpp_x);} 
#endif 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, double>::type 
log10(_A1 __lcpp_x) _NOEXCEPT {return ::log10((double)__lcpp_x);} 
 
// modf 
 
#if !(defined(_AIX) || defined(__sun__)) 
inline _LIBCPP_INLINE_VISIBILITY float       modf(float __lcpp_x, float* __lcpp_y) _NOEXCEPT             {return ::modff(__lcpp_x, __lcpp_y);} 
inline _LIBCPP_INLINE_VISIBILITY long double modf(long double __lcpp_x, long double* __lcpp_y) _NOEXCEPT {return ::modfl(__lcpp_x, __lcpp_y);} 
#endif 
 
// pow 
 
#if !(defined(_AIX) || defined(__sun__)) 
inline _LIBCPP_INLINE_VISIBILITY float       pow(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return ::powf(__lcpp_x, __lcpp_y);} 
inline _LIBCPP_INLINE_VISIBILITY long double pow(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::powl(__lcpp_x, __lcpp_y);} 
#endif 
 
template <class _A1, class _A2> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::__enable_if_t 
< 
    std::is_arithmetic<_A1>::value && 
    std::is_arithmetic<_A2>::value, 
    std::__promote<_A1, _A2> 
>::type 
pow(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT 
{ 
    typedef typename std::__promote<_A1, _A2>::type __result_type; 
    static_assert((!(std::_IsSame<_A1, __result_type>::value && 
                     std::_IsSame<_A2, __result_type>::value)), ""); 
    return ::pow((__result_type)__lcpp_x, (__result_type)__lcpp_y); 
} 
 
// sin 
 
#if !(defined(_AIX) || defined(__sun__)) 
inline _LIBCPP_INLINE_VISIBILITY float       sin(float __lcpp_x) _NOEXCEPT       {return ::sinf(__lcpp_x);} 
inline _LIBCPP_INLINE_VISIBILITY long double sin(long double __lcpp_x) _NOEXCEPT {return ::sinl(__lcpp_x);} 
#endif 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, double>::type 
sin(_A1 __lcpp_x) _NOEXCEPT {return ::sin((double)__lcpp_x);} 
 
// sinh 
 
#if !(defined(_AIX) || defined(__sun__)) 
inline _LIBCPP_INLINE_VISIBILITY float       sinh(float __lcpp_x) _NOEXCEPT       {return ::sinhf(__lcpp_x);} 
inline _LIBCPP_INLINE_VISIBILITY long double sinh(long double __lcpp_x) _NOEXCEPT {return ::sinhl(__lcpp_x);} 
#endif 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, double>::type 
sinh(_A1 __lcpp_x) _NOEXCEPT {return ::sinh((double)__lcpp_x);} 
 
// sqrt 
 
#if !(defined(_AIX) || defined(__sun__)) 
inline _LIBCPP_INLINE_VISIBILITY float       sqrt(float __lcpp_x) _NOEXCEPT       {return ::sqrtf(__lcpp_x);} 
inline _LIBCPP_INLINE_VISIBILITY long double sqrt(long double __lcpp_x) _NOEXCEPT {return ::sqrtl(__lcpp_x);} 
#endif 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, double>::type 
sqrt(_A1 __lcpp_x) _NOEXCEPT {return ::sqrt((double)__lcpp_x);} 
 
// tan 
 
#if !(defined(_AIX) || defined(__sun__)) 
inline _LIBCPP_INLINE_VISIBILITY float       tan(float __lcpp_x) _NOEXCEPT       {return ::tanf(__lcpp_x);} 
inline _LIBCPP_INLINE_VISIBILITY long double tan(long double __lcpp_x) _NOEXCEPT {return ::tanl(__lcpp_x);} 
#endif 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, double>::type 
tan(_A1 __lcpp_x) _NOEXCEPT {return ::tan((double)__lcpp_x);} 
 
// tanh 
 
#if !(defined(_AIX) || defined(__sun__)) 
inline _LIBCPP_INLINE_VISIBILITY float       tanh(float __lcpp_x) _NOEXCEPT       {return ::tanhf(__lcpp_x);} 
inline _LIBCPP_INLINE_VISIBILITY long double tanh(long double __lcpp_x) _NOEXCEPT {return ::tanhl(__lcpp_x);} 
#endif 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, double>::type 
tanh(_A1 __lcpp_x) _NOEXCEPT {return ::tanh((double)__lcpp_x);} 
 
// acosh 
 
inline _LIBCPP_INLINE_VISIBILITY float       acosh(float __lcpp_x) _NOEXCEPT       {return ::acoshf(__lcpp_x);} 
inline _LIBCPP_INLINE_VISIBILITY long double acosh(long double __lcpp_x) _NOEXCEPT {return ::acoshl(__lcpp_x);} 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, double>::type 
acosh(_A1 __lcpp_x) _NOEXCEPT {return ::acosh((double)__lcpp_x);} 
 
// asinh 
 
inline _LIBCPP_INLINE_VISIBILITY float       asinh(float __lcpp_x) _NOEXCEPT       {return ::asinhf(__lcpp_x);} 
inline _LIBCPP_INLINE_VISIBILITY long double asinh(long double __lcpp_x) _NOEXCEPT {return ::asinhl(__lcpp_x);} 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, double>::type 
asinh(_A1 __lcpp_x) _NOEXCEPT {return ::asinh((double)__lcpp_x);} 
 
// atanh 
 
inline _LIBCPP_INLINE_VISIBILITY float       atanh(float __lcpp_x) _NOEXCEPT       {return ::atanhf(__lcpp_x);} 
inline _LIBCPP_INLINE_VISIBILITY long double atanh(long double __lcpp_x) _NOEXCEPT {return ::atanhl(__lcpp_x);} 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, double>::type 
atanh(_A1 __lcpp_x) _NOEXCEPT {return ::atanh((double)__lcpp_x);} 
 
// cbrt 
 
inline _LIBCPP_INLINE_VISIBILITY float       cbrt(float __lcpp_x) _NOEXCEPT       {return ::cbrtf(__lcpp_x);} 
inline _LIBCPP_INLINE_VISIBILITY long double cbrt(long double __lcpp_x) _NOEXCEPT {return ::cbrtl(__lcpp_x);} 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, double>::type 
cbrt(_A1 __lcpp_x) _NOEXCEPT {return ::cbrt((double)__lcpp_x);} 
 
// copysign 
 
#if __has_builtin(__builtin_copysignf) 
_LIBCPP_CONSTEXPR 
#endif 
inline _LIBCPP_INLINE_VISIBILITY float __libcpp_copysign(float __lcpp_x, float __lcpp_y) _NOEXCEPT { 
#if __has_builtin(__builtin_copysignf) 
  return __builtin_copysignf(__lcpp_x, __lcpp_y); 
#else 
  return ::copysignf(__lcpp_x, __lcpp_y); 
#endif 
} 
 
#if __has_builtin(__builtin_copysign) 
_LIBCPP_CONSTEXPR 
#endif 
inline _LIBCPP_INLINE_VISIBILITY double __libcpp_copysign(double __lcpp_x, double __lcpp_y) _NOEXCEPT { 
#if __has_builtin(__builtin_copysign) 
  return __builtin_copysign(__lcpp_x, __lcpp_y); 
#else 
  return ::copysign(__lcpp_x, __lcpp_y); 
#endif 
} 
 
#if __has_builtin(__builtin_copysignl) 
_LIBCPP_CONSTEXPR 
#endif 
inline _LIBCPP_INLINE_VISIBILITY long double __libcpp_copysign(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT { 
#if __has_builtin(__builtin_copysignl) 
  return __builtin_copysignl(__lcpp_x, __lcpp_y); 
#else 
  return ::copysignl(__lcpp_x, __lcpp_y); 
#endif 
} 
 
template <class _A1, class _A2> 
#if __has_builtin(__builtin_copysign) 
_LIBCPP_CONSTEXPR 
#endif 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::__enable_if_t 
< 
    std::is_arithmetic<_A1>::value && 
    std::is_arithmetic<_A2>::value, 
    std::__promote<_A1, _A2> 
>::type 
__libcpp_copysign(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT { 
    typedef typename std::__promote<_A1, _A2>::type __result_type; 
    static_assert((!(std::_IsSame<_A1, __result_type>::value && 
                     std::_IsSame<_A2, __result_type>::value)), ""); 
#if __has_builtin(__builtin_copysign) 
    return __builtin_copysign((__result_type)__lcpp_x, (__result_type)__lcpp_y); 
#else 
    return ::copysign((__result_type)__lcpp_x, (__result_type)__lcpp_y); 
#endif 
} 
 
inline _LIBCPP_INLINE_VISIBILITY float copysign(float __lcpp_x, float __lcpp_y) _NOEXCEPT { 
  return ::__libcpp_copysign(__lcpp_x, __lcpp_y); 
} 
 
inline _LIBCPP_INLINE_VISIBILITY long double copysign(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT { 
  return ::__libcpp_copysign(__lcpp_x, __lcpp_y); 
} 
 
template <class _A1, class _A2> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::__enable_if_t 
< 
    std::is_arithmetic<_A1>::value && 
    std::is_arithmetic<_A2>::value, 
    std::__promote<_A1, _A2> 
>::type 
    copysign(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT { 
  return ::__libcpp_copysign(__lcpp_x, __lcpp_y); 
} 
 
// erf 
 
inline _LIBCPP_INLINE_VISIBILITY float       erf(float __lcpp_x) _NOEXCEPT       {return ::erff(__lcpp_x);} 
inline _LIBCPP_INLINE_VISIBILITY long double erf(long double __lcpp_x) _NOEXCEPT {return ::erfl(__lcpp_x);} 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, double>::type 
erf(_A1 __lcpp_x) _NOEXCEPT {return ::erf((double)__lcpp_x);} 
 
// erfc 
 
inline _LIBCPP_INLINE_VISIBILITY float       erfc(float __lcpp_x) _NOEXCEPT       {return ::erfcf(__lcpp_x);} 
inline _LIBCPP_INLINE_VISIBILITY long double erfc(long double __lcpp_x) _NOEXCEPT {return ::erfcl(__lcpp_x);} 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, double>::type 
erfc(_A1 __lcpp_x) _NOEXCEPT {return ::erfc((double)__lcpp_x);} 
 
// exp2 
 
inline _LIBCPP_INLINE_VISIBILITY float       exp2(float __lcpp_x) _NOEXCEPT       {return ::exp2f(__lcpp_x);} 
inline _LIBCPP_INLINE_VISIBILITY long double exp2(long double __lcpp_x) _NOEXCEPT {return ::exp2l(__lcpp_x);} 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, double>::type 
exp2(_A1 __lcpp_x) _NOEXCEPT {return ::exp2((double)__lcpp_x);} 
 
// expm1 
 
inline _LIBCPP_INLINE_VISIBILITY float       expm1(float __lcpp_x) _NOEXCEPT       {return ::expm1f(__lcpp_x);} 
inline _LIBCPP_INLINE_VISIBILITY long double expm1(long double __lcpp_x) _NOEXCEPT {return ::expm1l(__lcpp_x);} 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, double>::type 
expm1(_A1 __lcpp_x) _NOEXCEPT {return ::expm1((double)__lcpp_x);} 
 
// fdim 
 
inline _LIBCPP_INLINE_VISIBILITY float       fdim(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return ::fdimf(__lcpp_x, __lcpp_y);} 
inline _LIBCPP_INLINE_VISIBILITY long double fdim(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::fdiml(__lcpp_x, __lcpp_y);} 
 
template <class _A1, class _A2> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::__enable_if_t 
< 
    std::is_arithmetic<_A1>::value && 
    std::is_arithmetic<_A2>::value, 
    std::__promote<_A1, _A2> 
>::type 
fdim(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT 
{ 
    typedef typename std::__promote<_A1, _A2>::type __result_type; 
    static_assert((!(std::_IsSame<_A1, __result_type>::value && 
                     std::_IsSame<_A2, __result_type>::value)), ""); 
    return ::fdim((__result_type)__lcpp_x, (__result_type)__lcpp_y); 
} 
 
// fma 
 
inline _LIBCPP_INLINE_VISIBILITY float       fma(float __lcpp_x, float __lcpp_y, float __lcpp_z) _NOEXCEPT 
{ 
#if __has_builtin(__builtin_fmaf) 
    return __builtin_fmaf(__lcpp_x, __lcpp_y, __lcpp_z); 
#else 
    return ::fmaf(__lcpp_x, __lcpp_y, __lcpp_z); 
#endif 
} 
inline _LIBCPP_INLINE_VISIBILITY long double fma(long double __lcpp_x, long double __lcpp_y, long double __lcpp_z) _NOEXCEPT 
{ 
#if __has_builtin(__builtin_fmal) 
    return __builtin_fmal(__lcpp_x, __lcpp_y, __lcpp_z); 
#else 
    return ::fmal(__lcpp_x, __lcpp_y, __lcpp_z); 
#endif 
} 
 
template <class _A1, class _A2, class _A3> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::__enable_if_t 
< 
    std::is_arithmetic<_A1>::value && 
    std::is_arithmetic<_A2>::value && 
    std::is_arithmetic<_A3>::value, 
    std::__promote<_A1, _A2, _A3> 
>::type 
fma(_A1 __lcpp_x, _A2 __lcpp_y, _A3 __lcpp_z) _NOEXCEPT 
{ 
    typedef typename std::__promote<_A1, _A2, _A3>::type __result_type; 
    static_assert((!(std::_IsSame<_A1, __result_type>::value && 
                     std::_IsSame<_A2, __result_type>::value && 
                     std::_IsSame<_A3, __result_type>::value)), ""); 
#if __has_builtin(__builtin_fma) 
    return __builtin_fma((__result_type)__lcpp_x, (__result_type)__lcpp_y, (__result_type)__lcpp_z); 
#else 
    return ::fma((__result_type)__lcpp_x, (__result_type)__lcpp_y, (__result_type)__lcpp_z); 
#endif 
} 
 
// fmax 
 
inline _LIBCPP_INLINE_VISIBILITY float       fmax(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return ::fmaxf(__lcpp_x, __lcpp_y);} 
inline _LIBCPP_INLINE_VISIBILITY long double fmax(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::fmaxl(__lcpp_x, __lcpp_y);} 
 
template <class _A1, class _A2> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::__enable_if_t 
< 
    std::is_arithmetic<_A1>::value && 
    std::is_arithmetic<_A2>::value, 
    std::__promote<_A1, _A2> 
>::type 
fmax(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT 
{ 
    typedef typename std::__promote<_A1, _A2>::type __result_type; 
    static_assert((!(std::_IsSame<_A1, __result_type>::value && 
                     std::_IsSame<_A2, __result_type>::value)), ""); 
    return ::fmax((__result_type)__lcpp_x, (__result_type)__lcpp_y); 
} 
 
// fmin 
 
inline _LIBCPP_INLINE_VISIBILITY float       fmin(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return ::fminf(__lcpp_x, __lcpp_y);} 
inline _LIBCPP_INLINE_VISIBILITY long double fmin(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::fminl(__lcpp_x, __lcpp_y);} 
 
template <class _A1, class _A2> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::__enable_if_t 
< 
    std::is_arithmetic<_A1>::value && 
    std::is_arithmetic<_A2>::value, 
    std::__promote<_A1, _A2> 
>::type 
fmin(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT 
{ 
    typedef typename std::__promote<_A1, _A2>::type __result_type; 
    static_assert((!(std::_IsSame<_A1, __result_type>::value && 
                     std::_IsSame<_A2, __result_type>::value)), ""); 
    return ::fmin((__result_type)__lcpp_x, (__result_type)__lcpp_y); 
} 
 
// hypot 
 
inline _LIBCPP_INLINE_VISIBILITY float       hypot(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return ::hypotf(__lcpp_x, __lcpp_y);} 
inline _LIBCPP_INLINE_VISIBILITY long double hypot(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::hypotl(__lcpp_x, __lcpp_y);} 
 
template <class _A1, class _A2> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::__enable_if_t 
< 
    std::is_arithmetic<_A1>::value && 
    std::is_arithmetic<_A2>::value, 
    std::__promote<_A1, _A2> 
>::type 
hypot(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT 
{ 
    typedef typename std::__promote<_A1, _A2>::type __result_type; 
    static_assert((!(std::_IsSame<_A1, __result_type>::value && 
                     std::_IsSame<_A2, __result_type>::value)), ""); 
    return ::hypot((__result_type)__lcpp_x, (__result_type)__lcpp_y); 
} 
 
// ilogb 
 
inline _LIBCPP_INLINE_VISIBILITY int ilogb(float __lcpp_x) _NOEXCEPT       {return ::ilogbf(__lcpp_x);} 
inline _LIBCPP_INLINE_VISIBILITY int ilogb(long double __lcpp_x) _NOEXCEPT {return ::ilogbl(__lcpp_x);} 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, int>::type 
ilogb(_A1 __lcpp_x) _NOEXCEPT {return ::ilogb((double)__lcpp_x);} 
 
// lgamma 
 
inline _LIBCPP_INLINE_VISIBILITY float       lgamma(float __lcpp_x) _NOEXCEPT       {return ::lgammaf(__lcpp_x);} 
inline _LIBCPP_INLINE_VISIBILITY long double lgamma(long double __lcpp_x) _NOEXCEPT {return ::lgammal(__lcpp_x);} 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, double>::type 
lgamma(_A1 __lcpp_x) _NOEXCEPT {return ::lgamma((double)__lcpp_x);} 
 
// llrint 
 
inline _LIBCPP_INLINE_VISIBILITY long long llrint(float __lcpp_x) _NOEXCEPT 
{ 
#if __has_builtin(__builtin_llrintf) 
    return __builtin_llrintf(__lcpp_x); 
#else 
    return ::llrintf(__lcpp_x); 
#endif 
} 
inline _LIBCPP_INLINE_VISIBILITY long long llrint(long double __lcpp_x) _NOEXCEPT 
{ 
#if __has_builtin(__builtin_llrintl) 
    return __builtin_llrintl(__lcpp_x); 
#else 
    return ::llrintl(__lcpp_x); 
#endif 
} 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, long long>::type 
llrint(_A1 __lcpp_x) _NOEXCEPT 
{ 
#if __has_builtin(__builtin_llrint) 
    return __builtin_llrint((double)__lcpp_x); 
#else 
    return ::llrint((double)__lcpp_x); 
#endif 
} 
 
// llround 
 
inline _LIBCPP_INLINE_VISIBILITY long long llround(float __lcpp_x) _NOEXCEPT 
{ 
#if __has_builtin(__builtin_llroundf) 
    return __builtin_llroundf(__lcpp_x); 
#else 
    return ::llroundf(__lcpp_x); 
#endif 
} 
inline _LIBCPP_INLINE_VISIBILITY long long llround(long double __lcpp_x) _NOEXCEPT 
{ 
#if __has_builtin(__builtin_llroundl) 
    return __builtin_llroundl(__lcpp_x); 
#else 
    return ::llroundl(__lcpp_x); 
#endif 
} 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, long long>::type 
llround(_A1 __lcpp_x) _NOEXCEPT 
{ 
#if __has_builtin(__builtin_llround) 
    return __builtin_llround((double)__lcpp_x); 
#else 
    return ::llround((double)__lcpp_x); 
#endif 
} 
 
// log1p 
 
inline _LIBCPP_INLINE_VISIBILITY float       log1p(float __lcpp_x) _NOEXCEPT       {return ::log1pf(__lcpp_x);} 
inline _LIBCPP_INLINE_VISIBILITY long double log1p(long double __lcpp_x) _NOEXCEPT {return ::log1pl(__lcpp_x);} 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, double>::type 
log1p(_A1 __lcpp_x) _NOEXCEPT {return ::log1p((double)__lcpp_x);} 
 
// log2 
 
inline _LIBCPP_INLINE_VISIBILITY float       log2(float __lcpp_x) _NOEXCEPT       {return ::log2f(__lcpp_x);} 
inline _LIBCPP_INLINE_VISIBILITY long double log2(long double __lcpp_x) _NOEXCEPT {return ::log2l(__lcpp_x);} 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, double>::type 
log2(_A1 __lcpp_x) _NOEXCEPT {return ::log2((double)__lcpp_x);} 
 
// logb 
 
inline _LIBCPP_INLINE_VISIBILITY float       logb(float __lcpp_x) _NOEXCEPT       {return ::logbf(__lcpp_x);} 
inline _LIBCPP_INLINE_VISIBILITY long double logb(long double __lcpp_x) _NOEXCEPT {return ::logbl(__lcpp_x);} 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, double>::type 
logb(_A1 __lcpp_x) _NOEXCEPT {return ::logb((double)__lcpp_x);} 
 
// lrint 
 
inline _LIBCPP_INLINE_VISIBILITY long lrint(float __lcpp_x) _NOEXCEPT 
{ 
#if __has_builtin(__builtin_lrintf) 
    return __builtin_lrintf(__lcpp_x); 
#else 
    return ::lrintf(__lcpp_x); 
#endif 
} 
inline _LIBCPP_INLINE_VISIBILITY long lrint(long double __lcpp_x) _NOEXCEPT 
{ 
#if __has_builtin(__builtin_lrintl) 
    return __builtin_lrintl(__lcpp_x); 
#else 
    return ::lrintl(__lcpp_x); 
#endif 
} 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, long>::type 
lrint(_A1 __lcpp_x) _NOEXCEPT 
{ 
#if __has_builtin(__builtin_lrint) 
    return __builtin_lrint((double)__lcpp_x); 
#else 
    return ::lrint((double)__lcpp_x); 
#endif 
} 
 
// lround 
 
inline _LIBCPP_INLINE_VISIBILITY long lround(float __lcpp_x) _NOEXCEPT 
{ 
#if __has_builtin(__builtin_lroundf) 
    return __builtin_lroundf(__lcpp_x); 
#else 
    return ::lroundf(__lcpp_x); 
#endif 
} 
inline _LIBCPP_INLINE_VISIBILITY long lround(long double __lcpp_x) _NOEXCEPT 
{ 
#if __has_builtin(__builtin_lroundl) 
    return __builtin_lroundl(__lcpp_x); 
#else 
    return ::lroundl(__lcpp_x); 
#endif 
} 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, long>::type 
lround(_A1 __lcpp_x) _NOEXCEPT 
{ 
#if __has_builtin(__builtin_lround) 
    return __builtin_lround((double)__lcpp_x); 
#else 
    return ::lround((double)__lcpp_x); 
#endif 
} 
 
// nan 
 
// nearbyint 
 
inline _LIBCPP_INLINE_VISIBILITY float       nearbyint(float __lcpp_x) _NOEXCEPT       {return ::nearbyintf(__lcpp_x);} 
inline _LIBCPP_INLINE_VISIBILITY long double nearbyint(long double __lcpp_x) _NOEXCEPT {return ::nearbyintl(__lcpp_x);} 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, double>::type 
nearbyint(_A1 __lcpp_x) _NOEXCEPT {return ::nearbyint((double)__lcpp_x);} 
 
// nextafter 
 
inline _LIBCPP_INLINE_VISIBILITY float       nextafter(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return ::nextafterf(__lcpp_x, __lcpp_y);} 
inline _LIBCPP_INLINE_VISIBILITY long double nextafter(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::nextafterl(__lcpp_x, __lcpp_y);} 
 
template <class _A1, class _A2> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::__enable_if_t 
< 
    std::is_arithmetic<_A1>::value && 
    std::is_arithmetic<_A2>::value, 
    std::__promote<_A1, _A2> 
>::type 
nextafter(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT 
{ 
    typedef typename std::__promote<_A1, _A2>::type __result_type; 
    static_assert((!(std::_IsSame<_A1, __result_type>::value && 
                     std::_IsSame<_A2, __result_type>::value)), ""); 
    return ::nextafter((__result_type)__lcpp_x, (__result_type)__lcpp_y); 
} 
 
// nexttoward 
 
inline _LIBCPP_INLINE_VISIBILITY float       nexttoward(float __lcpp_x, long double __lcpp_y) _NOEXCEPT       {return ::nexttowardf(__lcpp_x, __lcpp_y);} 
inline _LIBCPP_INLINE_VISIBILITY long double nexttoward(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::nexttowardl(__lcpp_x, __lcpp_y);} 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, double>::type 
nexttoward(_A1 __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::nexttoward((double)__lcpp_x, __lcpp_y);} 
 
// remainder 
 
inline _LIBCPP_INLINE_VISIBILITY float       remainder(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return ::remainderf(__lcpp_x, __lcpp_y);} 
inline _LIBCPP_INLINE_VISIBILITY long double remainder(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::remainderl(__lcpp_x, __lcpp_y);} 
 
template <class _A1, class _A2> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::__enable_if_t 
< 
    std::is_arithmetic<_A1>::value && 
    std::is_arithmetic<_A2>::value, 
    std::__promote<_A1, _A2> 
>::type 
remainder(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT 
{ 
    typedef typename std::__promote<_A1, _A2>::type __result_type; 
    static_assert((!(std::_IsSame<_A1, __result_type>::value && 
                     std::_IsSame<_A2, __result_type>::value)), ""); 
    return ::remainder((__result_type)__lcpp_x, (__result_type)__lcpp_y); 
} 
 
// remquo 
 
inline _LIBCPP_INLINE_VISIBILITY float       remquo(float __lcpp_x, float __lcpp_y, int* __lcpp_z) _NOEXCEPT             {return ::remquof(__lcpp_x, __lcpp_y, __lcpp_z);} 
inline _LIBCPP_INLINE_VISIBILITY long double remquo(long double __lcpp_x, long double __lcpp_y, int* __lcpp_z) _NOEXCEPT {return ::remquol(__lcpp_x, __lcpp_y, __lcpp_z);} 
 
template <class _A1, class _A2> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::__enable_if_t 
< 
    std::is_arithmetic<_A1>::value && 
    std::is_arithmetic<_A2>::value, 
    std::__promote<_A1, _A2> 
>::type 
remquo(_A1 __lcpp_x, _A2 __lcpp_y, int* __lcpp_z) _NOEXCEPT 
{ 
    typedef typename std::__promote<_A1, _A2>::type __result_type; 
    static_assert((!(std::_IsSame<_A1, __result_type>::value && 
                     std::_IsSame<_A2, __result_type>::value)), ""); 
    return ::remquo((__result_type)__lcpp_x, (__result_type)__lcpp_y, __lcpp_z); 
} 
 
// rint 
 
inline _LIBCPP_INLINE_VISIBILITY float       rint(float __lcpp_x) _NOEXCEPT 
{ 
#if __has_builtin(__builtin_rintf) 
    return __builtin_rintf(__lcpp_x); 
#else 
    return ::rintf(__lcpp_x); 
#endif 
} 
inline _LIBCPP_INLINE_VISIBILITY long double rint(long double __lcpp_x) _NOEXCEPT 
{ 
#if __has_builtin(__builtin_rintl) 
    return __builtin_rintl(__lcpp_x); 
#else 
    return ::rintl(__lcpp_x); 
#endif 
} 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, double>::type 
rint(_A1 __lcpp_x) _NOEXCEPT 
{ 
#if __has_builtin(__builtin_rint) 
    return __builtin_rint((double)__lcpp_x); 
#else 
    return ::rint((double)__lcpp_x); 
#endif 
} 
 
// round 
 
inline _LIBCPP_INLINE_VISIBILITY float       round(float __lcpp_x) _NOEXCEPT 
{ 
#if __has_builtin(__builtin_roundf) 
    return __builtin_roundf(__lcpp_x); 
#else 
    return ::roundf(__lcpp_x); 
#endif 
} 
inline _LIBCPP_INLINE_VISIBILITY long double round(long double __lcpp_x) _NOEXCEPT 
{ 
#if __has_builtin(__builtin_roundl) 
    return __builtin_roundl(__lcpp_x); 
#else 
    return ::roundl(__lcpp_x); 
#endif 
} 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, double>::type 
round(_A1 __lcpp_x) _NOEXCEPT 
{ 
#if __has_builtin(__builtin_round) 
    return __builtin_round((double)__lcpp_x); 
#else 
    return ::round((double)__lcpp_x); 
#endif 
} 
 
// scalbln 
 
inline _LIBCPP_INLINE_VISIBILITY float       scalbln(float __lcpp_x, long __lcpp_y) _NOEXCEPT       {return ::scalblnf(__lcpp_x, __lcpp_y);} 
inline _LIBCPP_INLINE_VISIBILITY long double scalbln(long double __lcpp_x, long __lcpp_y) _NOEXCEPT {return ::scalblnl(__lcpp_x, __lcpp_y);} 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, double>::type 
scalbln(_A1 __lcpp_x, long __lcpp_y) _NOEXCEPT {return ::scalbln((double)__lcpp_x, __lcpp_y);} 
 
// scalbn 
 
inline _LIBCPP_INLINE_VISIBILITY float       scalbn(float __lcpp_x, int __lcpp_y) _NOEXCEPT       {return ::scalbnf(__lcpp_x, __lcpp_y);} 
inline _LIBCPP_INLINE_VISIBILITY long double scalbn(long double __lcpp_x, int __lcpp_y) _NOEXCEPT {return ::scalbnl(__lcpp_x, __lcpp_y);} 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, double>::type 
scalbn(_A1 __lcpp_x, int __lcpp_y) _NOEXCEPT {return ::scalbn((double)__lcpp_x, __lcpp_y);} 
 
// tgamma 
 
inline _LIBCPP_INLINE_VISIBILITY float       tgamma(float __lcpp_x) _NOEXCEPT       {return ::tgammaf(__lcpp_x);} 
inline _LIBCPP_INLINE_VISIBILITY long double tgamma(long double __lcpp_x) _NOEXCEPT {return ::tgammal(__lcpp_x);} 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, double>::type 
tgamma(_A1 __lcpp_x) _NOEXCEPT {return ::tgamma((double)__lcpp_x);} 
 
// trunc 
 
inline _LIBCPP_INLINE_VISIBILITY float       trunc(float __lcpp_x) _NOEXCEPT 
{ 
#if __has_builtin(__builtin_truncf) 
    return __builtin_truncf(__lcpp_x); 
#else 
    return ::truncf(__lcpp_x); 
#endif 
} 
inline _LIBCPP_INLINE_VISIBILITY long double trunc(long double __lcpp_x) _NOEXCEPT 
{ 
#if __has_builtin(__builtin_truncl) 
    return __builtin_truncl(__lcpp_x); 
#else 
    return ::truncl(__lcpp_x); 
#endif 
} 
 
template <class _A1> 
inline _LIBCPP_INLINE_VISIBILITY 
typename std::enable_if<std::is_integral<_A1>::value, double>::type 
trunc(_A1 __lcpp_x) _NOEXCEPT 
{ 
#if __has_builtin(__builtin_trunc) 
    return __builtin_trunc((double)__lcpp_x); 
#else 
    return ::trunc((double)__lcpp_x); 
#endif 
} 
 
} // extern "C++" 
 
#endif // __cplusplus 
 
#else // _LIBCPP_MATH_H 
 
// This include lives outside the header guard in order to support an MSVC 
// extension which allows users to do: 
// 
// #define _USE_MATH_DEFINES 
// #include <math.h> 
// 
// and receive the definitions of mathematical constants, even if <math.h> 
// has previously been included. 
#if defined(_LIBCPP_MSVCRT) && defined(_USE_MATH_DEFINES) 
#ifdef _LIBCPP_COMPILER_MSVC 
#include _LIBCPP_UCRT_INCLUDE(math.h) 
#else 
#include_next <math.h> 
#endif 
#endif 
 
#endif // _LIBCPP_MATH_H