blob: 9dfbb0e78cf2f978fddbdd2f7960625e58199495 [file] [log] [blame]
// -*- 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);}
_LIBCPP_BEGIN_NAMESPACE_STD
template <class _IntT, class _FloatT,
bool _FloatBigger = (numeric_limits<_FloatT>::digits > numeric_limits<_IntT>::digits),
int _Bits = (numeric_limits<_IntT>::digits - numeric_limits<_FloatT>::digits)>
_LIBCPP_INLINE_VISIBILITY
_LIBCPP_CONSTEXPR _IntT __max_representable_int_for_float() _NOEXCEPT {
static_assert(is_floating_point<_FloatT>::value, "must be a floating point type");
static_assert(is_integral<_IntT>::value, "must be an integral type");
static_assert(numeric_limits<_FloatT>::radix == 2, "FloatT has incorrect radix");
static_assert(_IsSame<_FloatT, float>::value || _IsSame<_FloatT, double>::value
|| _IsSame<_FloatT,long double>::value, "unsupported floating point type");
return _FloatBigger ? numeric_limits<_IntT>::max() : (numeric_limits<_IntT>::max() >> _Bits << _Bits);
}
// Convert a floating point number to the specified integral type after
// clamping to the integral types representable range.
//
// The behavior is undefined if `__r` is NaN.
template <class _IntT, class _RealT>
_LIBCPP_INLINE_VISIBILITY
_IntT __clamp_to_integral(_RealT __r) _NOEXCEPT {
using _Lim = std::numeric_limits<_IntT>;
const _IntT _MaxVal = std::__max_representable_int_for_float<_IntT, _RealT>();
if (__r >= ::nextafter(static_cast<_RealT>(_MaxVal), INFINITY)) {
return _Lim::max();
} else if (__r <= _Lim::lowest()) {
return _Lim::min();
}
return static_cast<_IntT>(__r);
}
_LIBCPP_END_NAMESPACE_STD
} // 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