cosmopolitan/third_party/libcxx/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

#include "third_party/libcxx/__config"

#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
#pragma GCC system_header
#endif

#define _LIBCPP_STDLIB_INCLUDE_NEXT
#include "third_party/libcxx/stdlib.h"

#include "libc/math.h"

#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 "third_party/libcxx/type_traits"
#include "third_party/libcxx/limits"

/*
    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);

*/

// signbit

#ifdef signbit

template <class _A1>
_LIBCPP_INLINE_VISIBILITY bool __libcpp_signbit(_A1 __lcpp_x) _NOEXCEPT {
  return signbit(__lcpp_x);
}

#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 {
  return fpclassify(__lcpp_x);
}

#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 {
  return isfinite(__lcpp_x);
}

#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 {
  return isinf(__lcpp_x);
}

#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;
}

#ifdef _LIBCPP_PREFERRED_OVERLOAD
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 {
  return isnan(__lcpp_x);
}

#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;
}

#ifdef _LIBCPP_PREFERRED_OVERLOAD
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 {
  return isnormal(__lcpp_x);
}

#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

#undef abs
#undef labs
#ifndef _LIBCPP_HAS_NO_LONG_LONG
#undef llabs
#endif

// MSVCRT already has the correct prototype in <stdlib.h> if __cplusplus is defined
#if !defined(_LIBCPP_MSVCRT) && !defined(__sun__) && !defined(_AIX)
inline _LIBCPP_INLINE_VISIBILITY long abs(long __x) _NOEXCEPT {
  return ::labs(__x);
}
#ifndef _LIBCPP_HAS_NO_LONG_LONG
inline _LIBCPP_INLINE_VISIBILITY long long abs(long long __x) _NOEXCEPT {
  return ::llabs(__x);
}
#endif // _LIBCPP_HAS_NO_LONG_LONG
#endif // !defined(_LIBCPP_MSVCRT) && !defined(__sun__) && !defined(_AIX)

#if !(defined(_AIX) || defined(__sun__))
inline _LIBCPP_INLINE_VISIBILITY float abs(float __lcpp_x) _NOEXCEPT {
  return ::fabsf(__lcpp_x);
}

inline _LIBCPP_INLINE_VISIBILITY double abs(double __lcpp_x) _NOEXCEPT {
  return ::fabs(__lcpp_x);
}

inline _LIBCPP_INLINE_VISIBILITY long double
abs(long double __lcpp_x) _NOEXCEPT {
  return ::fabsl(__lcpp_x);
}
#endif // !(defined(_AIX) || defined(__sun__))

// div

#undef div
#undef ldiv
#ifndef _LIBCPP_HAS_NO_LONG_LONG
#undef lldiv
#endif

// MSVCRT already has the correct prototype in <stdlib.h> if __cplusplus is defined
#if !defined(_LIBCPP_MSVCRT) && !defined(__sun__) && !defined(_AIX)
inline _LIBCPP_INLINE_VISIBILITY ldiv_t div(long __x, long __y) _NOEXCEPT {
  return ::ldiv(__x, __y);
}
#ifndef _LIBCPP_HAS_NO_LONG_LONG
inline _LIBCPP_INLINE_VISIBILITY lldiv_t div(long long __x,
                                             long long __y) _NOEXCEPT {
  return ::lldiv(__x, __y);
}
#endif // _LIBCPP_HAS_NO_LONG_LONG
#endif // _LIBCPP_MSVCRT / __sun__ / _AIX

// 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::_EnableIf<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::_EnableIf<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::_EnableIf<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

inline _LIBCPP_INLINE_VISIBILITY float copysign(float __lcpp_x,
                                                float __lcpp_y) _NOEXCEPT {
  return ::copysignf(__lcpp_x, __lcpp_y);
}
inline _LIBCPP_INLINE_VISIBILITY long double
copysign(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {
  return ::copysignl(__lcpp_x, __lcpp_y);
}

template <class _A1, class _A2>
inline _LIBCPP_INLINE_VISIBILITY
    typename std::_EnableIf<std::is_arithmetic<_A1>::value &&
                                std::is_arithmetic<_A2>::value,
                            std::__promote<_A1, _A2> >::type
    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)),
                "");
  return ::copysign((__result_type)__lcpp_x, (__result_type)__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::_EnableIf<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 {
  return ::fmaf(__lcpp_x, __lcpp_y, __lcpp_z);
}
inline _LIBCPP_INLINE_VISIBILITY long double
fma(long double __lcpp_x, long double __lcpp_y,
    long double __lcpp_z) _NOEXCEPT {
  return ::fmal(__lcpp_x, __lcpp_y, __lcpp_z);
}

template <class _A1, class _A2, class _A3>
inline _LIBCPP_INLINE_VISIBILITY
    typename std::_EnableIf<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)),
                "");
  return ::fma((__result_type)__lcpp_x, (__result_type)__lcpp_y,
               (__result_type)__lcpp_z);
}

// 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::_EnableIf<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::_EnableIf<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::_EnableIf<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 {
  return ::llrintf(__lcpp_x);
}
inline _LIBCPP_INLINE_VISIBILITY long long
llrint(long double __lcpp_x) _NOEXCEPT {
  return ::llrintl(__lcpp_x);
}

template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
    typename std::enable_if<std::is_integral<_A1>::value, long long>::type
    llrint(_A1 __lcpp_x) _NOEXCEPT {
  return ::llrint((double)__lcpp_x);
}

// llround

inline _LIBCPP_INLINE_VISIBILITY long long llround(float __lcpp_x) _NOEXCEPT {
  return ::llroundf(__lcpp_x);
}
inline _LIBCPP_INLINE_VISIBILITY long long
llround(long double __lcpp_x) _NOEXCEPT {
  return ::llroundl(__lcpp_x);
}

template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
    typename std::enable_if<std::is_integral<_A1>::value, long long>::type
    llround(_A1 __lcpp_x) _NOEXCEPT {
  return ::llround((double)__lcpp_x);
}

// 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 {
  return ::lrintf(__lcpp_x);
}
inline _LIBCPP_INLINE_VISIBILITY long lrint(long double __lcpp_x) _NOEXCEPT {
  return ::lrintl(__lcpp_x);
}

template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
    typename std::enable_if<std::is_integral<_A1>::value, long>::type
    lrint(_A1 __lcpp_x) _NOEXCEPT {
  return ::lrint((double)__lcpp_x);
}

// lround

inline _LIBCPP_INLINE_VISIBILITY long lround(float __lcpp_x) _NOEXCEPT {
  return ::lroundf(__lcpp_x);
}
inline _LIBCPP_INLINE_VISIBILITY long lround(long double __lcpp_x) _NOEXCEPT {
  return ::lroundl(__lcpp_x);
}

template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
    typename std::enable_if<std::is_integral<_A1>::value, long>::type
    lround(_A1 __lcpp_x) _NOEXCEPT {
  return ::lround((double)__lcpp_x);
}

// 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::_EnableIf<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::_EnableIf<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::_EnableIf<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 {
  return ::rintf(__lcpp_x);
}
inline _LIBCPP_INLINE_VISIBILITY long double
rint(long double __lcpp_x) _NOEXCEPT {
  return ::rintl(__lcpp_x);
}

template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
    typename std::enable_if<std::is_integral<_A1>::value, double>::type
    rint(_A1 __lcpp_x) _NOEXCEPT {
  return ::rint((double)__lcpp_x);
}

// round

inline _LIBCPP_INLINE_VISIBILITY float round(float __lcpp_x) _NOEXCEPT {
  return ::roundf(__lcpp_x);
}
inline _LIBCPP_INLINE_VISIBILITY long double
round(long double __lcpp_x) _NOEXCEPT {
  return ::roundl(__lcpp_x);
}

template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
    typename std::enable_if<std::is_integral<_A1>::value, double>::type
    round(_A1 __lcpp_x) _NOEXCEPT {
  return ::round((double)__lcpp_x);
}

// 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 {
  return ::truncf(__lcpp_x);
}
inline _LIBCPP_INLINE_VISIBILITY long double
trunc(long double __lcpp_x) _NOEXCEPT {
  return ::truncl(__lcpp_x);
}

template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
    typename std::enable_if<std::is_integral<_A1>::value, double>::type
    trunc(_A1 __lcpp_x) _NOEXCEPT {
  return ::trunc((double)__lcpp_x);
}

} // 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)
#include_next <math.h>
#endif

#endif // _LIBCPP_MATH_H