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math.h
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// -*- C++ -*-
//===---------------------------- math.h ----------------------------------===//
//
// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
// See https://llvm.org/LICENSE.txt for license information.
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
//
//===----------------------------------------------------------------------===//
#ifndef _LIBCPP_MATH_H
#define _LIBCPP_MATH_H
/*
math.h synopsis
Macros:
HUGE_VAL
HUGE_VALF // C99
HUGE_VALL // C99
INFINITY // C99
NAN // C99
FP_INFINITE // C99
FP_NAN // C99
FP_NORMAL // C99
FP_SUBNORMAL // C99
FP_ZERO // C99
FP_FAST_FMA // C99
FP_FAST_FMAF // C99
FP_FAST_FMAL // C99
FP_ILOGB0 // C99
FP_ILOGBNAN // C99
MATH_ERRNO // C99
MATH_ERREXCEPT // C99
math_errhandling // C99
Types:
float_t // C99
double_t // C99
// C90
floating_point abs(floating_point x);
floating_point acos (arithmetic x);
float acosf(float x);
long double acosl(long double x);
floating_point asin (arithmetic x);
float asinf(float x);
long double asinl(long double x);
floating_point atan (arithmetic x);
float atanf(float x);
long double atanl(long double x);
floating_point atan2 (arithmetic y, arithmetic x);
float atan2f(float y, float x);
long double atan2l(long double y, long double x);
floating_point ceil (arithmetic x);
float ceilf(float x);
long double ceill(long double x);
floating_point cos (arithmetic x);
float cosf(float x);
long double cosl(long double x);
floating_point cosh (arithmetic x);
float coshf(float x);
long double coshl(long double x);
floating_point exp (arithmetic x);
float expf(float x);
long double expl(long double x);
floating_point fabs (arithmetic x);
float fabsf(float x);
long double fabsl(long double x);
floating_point floor (arithmetic x);
float floorf(float x);
long double floorl(long double x);
floating_point fmod (arithmetic x, arithmetic y);
float fmodf(float x, float y);
long double fmodl(long double x, long double y);
floating_point frexp (arithmetic value, int* exp);
float frexpf(float value, int* exp);
long double frexpl(long double value, int* exp);
floating_point ldexp (arithmetic value, int exp);
float ldexpf(float value, int exp);
long double ldexpl(long double value, int exp);
floating_point log (arithmetic x);
float logf(float x);
long double logl(long double x);
floating_point log10 (arithmetic x);
float log10f(float x);
long double log10l(long double x);
floating_point modf (floating_point value, floating_point* iptr);
float modff(float value, float* iptr);
long double modfl(long double value, long double* iptr);
floating_point pow (arithmetic x, arithmetic y);
float powf(float x, float y);
long double powl(long double x, long double y);
floating_point sin (arithmetic x);
float sinf(float x);
long double sinl(long double x);
floating_point sinh (arithmetic x);
float sinhf(float x);
long double sinhl(long double x);
floating_point sqrt (arithmetic x);
float sqrtf(float x);
long double sqrtl(long double x);
floating_point tan (arithmetic x);
float tanf(float x);
long double tanl(long double x);
floating_point tanh (arithmetic x);
float tanhf(float x);
long double tanhl(long double x);
// C99
bool signbit(arithmetic x);
int fpclassify(arithmetic x);
bool isfinite(arithmetic x);
bool isinf(arithmetic x);
bool isnan(arithmetic x);
bool isnormal(arithmetic x);
bool isgreater(arithmetic x, arithmetic y);
bool isgreaterequal(arithmetic x, arithmetic y);
bool isless(arithmetic x, arithmetic y);
bool islessequal(arithmetic x, arithmetic y);
bool islessgreater(arithmetic x, arithmetic y);
bool isunordered(arithmetic x, arithmetic y);
floating_point acosh (arithmetic x);
float acoshf(float x);
long double acoshl(long double x);
floating_point asinh (arithmetic x);
float asinhf(float x);
long double asinhl(long double x);
floating_point atanh (arithmetic x);
float atanhf(float x);
long double atanhl(long double x);
floating_point cbrt (arithmetic x);
float cbrtf(float x);
long double cbrtl(long double x);
floating_point copysign (arithmetic x, arithmetic y);
float copysignf(float x, float y);
long double copysignl(long double x, long double y);
floating_point erf (arithmetic x);
float erff(float x);
long double erfl(long double x);
floating_point erfc (arithmetic x);
float erfcf(float x);
long double erfcl(long double x);
floating_point exp2 (arithmetic x);
float exp2f(float x);
long double exp2l(long double x);
floating_point expm1 (arithmetic x);
float expm1f(float x);
long double expm1l(long double x);
floating_point fdim (arithmetic x, arithmetic y);
float fdimf(float x, float y);
long double fdiml(long double x, long double y);
floating_point fma (arithmetic x, arithmetic y, arithmetic z);
float fmaf(float x, float y, float z);
long double fmal(long double x, long double y, long double z);
floating_point fmax (arithmetic x, arithmetic y);
float fmaxf(float x, float y);
long double fmaxl(long double x, long double y);
floating_point fmin (arithmetic x, arithmetic y);
float fminf(float x, float y);
long double fminl(long double x, long double y);
floating_point hypot (arithmetic x, arithmetic y);
float hypotf(float x, float y);
long double hypotl(long double x, long double y);
int ilogb (arithmetic x);
int ilogbf(float x);
int ilogbl(long double x);
floating_point lgamma (arithmetic x);
float lgammaf(float x);
long double lgammal(long double x);
long long llrint (arithmetic x);
long long llrintf(float x);
long long llrintl(long double x);
long long llround (arithmetic x);
long long llroundf(float x);
long long llroundl(long double x);
floating_point log1p (arithmetic x);
float log1pf(float x);
long double log1pl(long double x);
floating_point log2 (arithmetic x);
float log2f(float x);
long double log2l(long double x);
floating_point logb (arithmetic x);
float logbf(float x);
long double logbl(long double x);
long lrint (arithmetic x);
long lrintf(float x);
long lrintl(long double x);
long lround (arithmetic x);
long lroundf(float x);
long lroundl(long double x);
double nan (const char* str);
float nanf(const char* str);
long double nanl(const char* str);
floating_point nearbyint (arithmetic x);
float nearbyintf(float x);
long double nearbyintl(long double x);
floating_point nextafter (arithmetic x, arithmetic y);
float nextafterf(float x, float y);
long double nextafterl(long double x, long double y);
floating_point nexttoward (arithmetic x, long double y);
float nexttowardf(float x, long double y);
long double nexttowardl(long double x, long double y);
floating_point remainder (arithmetic x, arithmetic y);
float remainderf(float x, float y);
long double remainderl(long double x, long double y);
floating_point remquo (arithmetic x, arithmetic y, int* pquo);
float remquof(float x, float y, int* pquo);
long double remquol(long double x, long double y, int* pquo);
floating_point rint (arithmetic x);
float rintf(float x);
long double rintl(long double x);
floating_point round (arithmetic x);
float roundf(float x);
long double roundl(long double x);
floating_point scalbln (arithmetic x, long ex);
float scalblnf(float x, long ex);
long double scalblnl(long double x, long ex);
floating_point scalbn (arithmetic x, int ex);
float scalbnf(float x, int ex);
long double scalbnl(long double x, int ex);
floating_point tgamma (arithmetic x);
float tgammaf(float x);
long double tgammal(long double x);
floating_point trunc (arithmetic x);
float truncf(float x);
long double truncl(long double x);
*/
#include <__config>
#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
#pragma GCC system_header
#endif
#define _LIBCPP_STDLIB_INCLUDE_NEXT
#include <stdlib.h>
#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
#undef abs
#undef labs
#ifndef _LIBCPP_HAS_NO_LONG_LONG
#undef llabs
#endif
// MSVCRT already has the correct prototype in <stdlib.h> if __cplusplus is defined
#if !defined(_LIBCPP_MSVCRT) && !defined(__sun__) && !defined(_AIX)
inline _LIBCPP_INLINE_VISIBILITY long abs(long __x) _NOEXCEPT {
return ::labs(__x);
}
#ifndef _LIBCPP_HAS_NO_LONG_LONG
inline _LIBCPP_INLINE_VISIBILITY long long abs(long long __x) _NOEXCEPT {
return ::llabs(__x);
}
#endif // _LIBCPP_HAS_NO_LONG_LONG
#endif // !defined(_LIBCPP_MSVCRT) && !defined(__sun__) && !defined(_AIX)
#if !(defined(_AIX) || defined(__sun__))
inline _LIBCPP_INLINE_VISIBILITY float abs(float __lcpp_x) _NOEXCEPT {
return ::fabsf(__lcpp_x);
}
inline _LIBCPP_INLINE_VISIBILITY double abs(double __lcpp_x) _NOEXCEPT {
return ::fabs(__lcpp_x);
}
inline _LIBCPP_INLINE_VISIBILITY long double
abs(long double __lcpp_x) _NOEXCEPT {
return ::fabsl(__lcpp_x);
}
#endif // !(defined(_AIX) || defined(__sun__))
// div
#undef div
#undef ldiv
#ifndef _LIBCPP_HAS_NO_LONG_LONG
#undef lldiv
#endif
// MSVCRT already has the correct prototype in <stdlib.h> if __cplusplus is defined
#if !defined(_LIBCPP_MSVCRT) && !defined(__sun__) && !defined(_AIX)
inline _LIBCPP_INLINE_VISIBILITY ldiv_t div(long __x, long __y) _NOEXCEPT {
return ::ldiv(__x, __y);
}
#ifndef _LIBCPP_HAS_NO_LONG_LONG
inline _LIBCPP_INLINE_VISIBILITY lldiv_t div(long long __x,
long long __y) _NOEXCEPT {
return ::lldiv(__x, __y);
}
#endif // _LIBCPP_HAS_NO_LONG_LONG
#endif // _LIBCPP_MSVCRT / __sun__ / _AIX
// acos
#if !(defined(_AIX) || defined(__sun__))
inline _LIBCPP_INLINE_VISIBILITY float acos(float __lcpp_x) _NOEXCEPT {return ::acosf(__lcpp_x);}
inline _LIBCPP_INLINE_VISIBILITY long double acos(long double __lcpp_x) _NOEXCEPT {return ::acosl(__lcpp_x);}
#endif
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename std::enable_if<std::is_integral<_A1>::value, double>::type
acos(_A1 __lcpp_x) _NOEXCEPT {return ::acos((double)__lcpp_x);}
// asin
#if !(defined(_AIX) || defined(__sun__))
inline _LIBCPP_INLINE_VISIBILITY float asin(float __lcpp_x) _NOEXCEPT {return ::asinf(__lcpp_x);}
inline _LIBCPP_INLINE_VISIBILITY long double asin(long double __lcpp_x) _NOEXCEPT {return ::asinl(__lcpp_x);}
#endif
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename std::enable_if<std::is_integral<_A1>::value, double>::type
asin(_A1 __lcpp_x) _NOEXCEPT {return ::asin((double)__lcpp_x);}
// atan
#if !(defined(_AIX) || defined(__sun__))
inline _LIBCPP_INLINE_VISIBILITY float atan(float __lcpp_x) _NOEXCEPT {return ::atanf(__lcpp_x);}
inline _LIBCPP_INLINE_VISIBILITY long double atan(long double __lcpp_x) _NOEXCEPT {return ::atanl(__lcpp_x);}
#endif
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename std::enable_if<std::is_integral<_A1>::value, double>::type
atan(_A1 __lcpp_x) _NOEXCEPT {return ::atan((double)__lcpp_x);}
// atan2
#if !(defined(_AIX) || defined(__sun__))
inline _LIBCPP_INLINE_VISIBILITY float atan2(float __lcpp_y, float __lcpp_x) _NOEXCEPT {return ::atan2f(__lcpp_y, __lcpp_x);}
inline _LIBCPP_INLINE_VISIBILITY long double atan2(long double __lcpp_y, long double __lcpp_x) _NOEXCEPT {return ::atan2l(__lcpp_y, __lcpp_x);}
#endif
template <class _A1, class _A2>
inline _LIBCPP_INLINE_VISIBILITY
typename std::_EnableIf
<
std::is_arithmetic<_A1>::value &&
std::is_arithmetic<_A2>::value,
std::__promote<_A1, _A2>
>::type
atan2(_A1 __lcpp_y, _A2 __lcpp_x) _NOEXCEPT
{
typedef typename std::__promote<_A1, _A2>::type __result_type;
static_assert((!(std::_IsSame<_A1, __result_type>::value &&
std::_IsSame<_A2, __result_type>::value)), "");
return ::atan2((__result_type)__lcpp_y, (__result_type)__lcpp_x);
}
// ceil
#if !(defined(_AIX) || defined(__sun__))
inline _LIBCPP_INLINE_VISIBILITY float ceil(float __lcpp_x) _NOEXCEPT {return ::ceilf(__lcpp_x);}
inline _LIBCPP_INLINE_VISIBILITY long double ceil(long double __lcpp_x) _NOEXCEPT {return ::ceill(__lcpp_x);}
#endif
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename std::enable_if<std::is_integral<_A1>::value, double>::type
ceil(_A1 __lcpp_x) _NOEXCEPT {return ::ceil((double)__lcpp_x);}
// cos
#if !(defined(_AIX) || defined(__sun__))
inline _LIBCPP_INLINE_VISIBILITY float cos(float __lcpp_x) _NOEXCEPT {return ::cosf(__lcpp_x);}
inline _LIBCPP_INLINE_VISIBILITY long double cos(long double __lcpp_x) _NOEXCEPT {return ::cosl(__lcpp_x);}
#endif
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename std::enable_if<std::is_integral<_A1>::value, double>::type
cos(_A1 __lcpp_x) _NOEXCEPT {return ::cos((double)__lcpp_x);}
// cosh
#if !(defined(_AIX) || defined(__sun__))
inline _LIBCPP_INLINE_VISIBILITY float cosh(float __lcpp_x) _NOEXCEPT {return ::coshf(__lcpp_x);}
inline _LIBCPP_INLINE_VISIBILITY long double cosh(long double __lcpp_x) _NOEXCEPT {return ::coshl(__lcpp_x);}
#endif
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename std::enable_if<std::is_integral<_A1>::value, double>::type
cosh(_A1 __lcpp_x) _NOEXCEPT {return ::cosh((double)__lcpp_x);}
// exp
#if !(defined(_AIX) || defined(__sun__))
inline _LIBCPP_INLINE_VISIBILITY float exp(float __lcpp_x) _NOEXCEPT {return ::expf(__lcpp_x);}
inline _LIBCPP_INLINE_VISIBILITY long double exp(long double __lcpp_x) _NOEXCEPT {return ::expl(__lcpp_x);}
#endif
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename std::enable_if<std::is_integral<_A1>::value, double>::type
exp(_A1 __lcpp_x) _NOEXCEPT {return ::exp((double)__lcpp_x);}
// fabs
#if !(defined(_AIX) || defined(__sun__))
inline _LIBCPP_INLINE_VISIBILITY float fabs(float __lcpp_x) _NOEXCEPT {return ::fabsf(__lcpp_x);}
inline _LIBCPP_INLINE_VISIBILITY long double fabs(long double __lcpp_x) _NOEXCEPT {return ::fabsl(__lcpp_x);}
#endif
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename std::enable_if<std::is_integral<_A1>::value, double>::type
fabs(_A1 __lcpp_x) _NOEXCEPT {return ::fabs((double)__lcpp_x);}
// floor
#if !(defined(_AIX) || defined(__sun__))
inline _LIBCPP_INLINE_VISIBILITY float floor(float __lcpp_x) _NOEXCEPT {return ::floorf(__lcpp_x);}
inline _LIBCPP_INLINE_VISIBILITY long double floor(long double __lcpp_x) _NOEXCEPT {return ::floorl(__lcpp_x);}
#endif
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename std::enable_if<std::is_integral<_A1>::value, double>::type
floor(_A1 __lcpp_x) _NOEXCEPT {return ::floor((double)__lcpp_x);}
// fmod
#if !(defined(_AIX) || defined(__sun__))
inline _LIBCPP_INLINE_VISIBILITY float fmod(float __lcpp_x, float __lcpp_y) _NOEXCEPT {return ::fmodf(__lcpp_x, __lcpp_y);}
inline _LIBCPP_INLINE_VISIBILITY long double fmod(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::fmodl(__lcpp_x, __lcpp_y);}
#endif
template <class _A1, class _A2>
inline _LIBCPP_INLINE_VISIBILITY
typename std::_EnableIf
<
std::is_arithmetic<_A1>::value &&
std::is_arithmetic<_A2>::value,
std::__promote<_A1, _A2>
>::type
fmod(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
{
typedef typename std::__promote<_A1, _A2>::type __result_type;
static_assert((!(std::_IsSame<_A1, __result_type>::value &&
std::_IsSame<_A2, __result_type>::value)), "");
return ::fmod((__result_type)__lcpp_x, (__result_type)__lcpp_y);
}
// frexp
#if !(defined(_AIX) || defined(__sun__))
inline _LIBCPP_INLINE_VISIBILITY float frexp(float __lcpp_x, int* __lcpp_e) _NOEXCEPT {return ::frexpf(__lcpp_x, __lcpp_e);}
inline _LIBCPP_INLINE_VISIBILITY long double frexp(long double __lcpp_x, int* __lcpp_e) _NOEXCEPT {return ::frexpl(__lcpp_x, __lcpp_e);}
#endif
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename std::enable_if<std::is_integral<_A1>::value, double>::type
frexp(_A1 __lcpp_x, int* __lcpp_e) _NOEXCEPT {return ::frexp((double)__lcpp_x, __lcpp_e);}
// ldexp
#if !(defined(_AIX) || defined(__sun__))
inline _LIBCPP_INLINE_VISIBILITY float ldexp(float __lcpp_x, int __lcpp_e) _NOEXCEPT {return ::ldexpf(__lcpp_x, __lcpp_e);}
inline _LIBCPP_INLINE_VISIBILITY long double ldexp(long double __lcpp_x, int __lcpp_e) _NOEXCEPT {return ::ldexpl(__lcpp_x, __lcpp_e);}
#endif
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename std::enable_if<std::is_integral<_A1>::value, double>::type
ldexp(_A1 __lcpp_x, int __lcpp_e) _NOEXCEPT {return ::ldexp((double)__lcpp_x, __lcpp_e);}
// log
#if !(defined(_AIX) || defined(__sun__))
inline _LIBCPP_INLINE_VISIBILITY float log(float __lcpp_x) _NOEXCEPT {return ::logf(__lcpp_x);}
inline _LIBCPP_INLINE_VISIBILITY long double log(long double __lcpp_x) _NOEXCEPT {return ::logl(__lcpp_x);}
#endif
template <class _A1>