|  | // -*- C++ -*- | 
|  | //===---------------------------- math.h ----------------------------------===// | 
|  | // | 
|  | //                     The LLVM Compiler Infrastructure | 
|  | // | 
|  | // This file is dual licensed under the MIT and the University of Illinois Open | 
|  | // Source Licenses. See LICENSE.TXT for details. | 
|  | // | 
|  | //===----------------------------------------------------------------------===// | 
|  |  | 
|  | #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 | 
|  |  | 
|  | #include_next <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 <type_traits> | 
|  | #include <limits> | 
|  |  | 
|  | // 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 | 
|  |  | 
|  | #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__)) | 
|  |  | 
|  | // 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::__lazy_enable_if | 
|  | < | 
|  | 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::is_same<_A1, __result_type>::value && | 
|  | std::is_same<_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::__lazy_enable_if | 
|  | < | 
|  | 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::is_same<_A1, __result_type>::value && | 
|  | std::is_same<_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::__lazy_enable_if | 
|  | < | 
|  | 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::is_same<_A1, __result_type>::value && | 
|  | std::is_same<_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::__lazy_enable_if | 
|  | < | 
|  | 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::is_same<_A1, __result_type>::value && | 
|  | std::is_same<_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::__lazy_enable_if | 
|  | < | 
|  | 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::is_same<_A1, __result_type>::value && | 
|  | std::is_same<_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::__lazy_enable_if | 
|  | < | 
|  | 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::is_same<_A1, __result_type>::value && | 
|  | std::is_same<_A2, __result_type>::value && | 
|  | std::is_same<_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::__lazy_enable_if | 
|  | < | 
|  | 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::is_same<_A1, __result_type>::value && | 
|  | std::is_same<_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::__lazy_enable_if | 
|  | < | 
|  | 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::is_same<_A1, __result_type>::value && | 
|  | std::is_same<_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::__lazy_enable_if | 
|  | < | 
|  | 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::is_same<_A1, __result_type>::value && | 
|  | std::is_same<_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::__lazy_enable_if | 
|  | < | 
|  | 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::is_same<_A1, __result_type>::value && | 
|  | std::is_same<_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::__lazy_enable_if | 
|  | < | 
|  | 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::is_same<_A1, __result_type>::value && | 
|  | std::is_same<_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::__lazy_enable_if | 
|  | < | 
|  | 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::is_same<_A1, __result_type>::value && | 
|  | std::is_same<_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 |