blob: a23d1ff3ed378a4ff60f4f882e4a93bce0590385 [file] [log] [blame]
// -*- C++ -*-
//===----------------------------------------------------------------------===//
//
// 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
# if __has_include_next(<math.h>)
# include_next <math.h>
# endif
#ifdef __cplusplus
// We support including .h headers inside 'extern "C"' contexts, so switch
// back to C++ linkage before including these C++ headers.
extern "C++" {
#include <__type_traits/enable_if.h>
#include <__type_traits/is_floating_point.h>
#include <__type_traits/is_integral.h>
#include <__type_traits/is_same.h>
#include <__type_traits/promote.h>
#include <limits>
#include <stdlib.h>
# ifdef fpclassify
# undef fpclassify
# endif
# ifdef signbit
# undef signbit
# endif
# ifdef isfinite
# undef isfinite
# endif
# ifdef isinf
# undef isinf
# endif
# ifdef isnan
# undef isnan
# endif
# ifdef isnormal
# undef isnormal
# endif
# ifdef isgreater
# undef isgreater
# endif
# ifdef isgreaterequal
# undef isgreaterequal
# endif
# ifdef isless
# undef isless
# endif
# ifdef islessequal
# undef islessequal
# endif
# ifdef islessgreater
# undef islessgreater
# endif
# ifdef isunordered
# undef isunordered
# endif
// signbit
template <class _A1, std::__enable_if_t<std::is_floating_point<_A1>::value, int> = 0>
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI bool signbit(_A1 __x) _NOEXCEPT {
return __builtin_signbit(__x);
}
template <class _A1, std::__enable_if_t<std::is_integral<_A1>::value && std::is_signed<_A1>::value, int> = 0>
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI bool signbit(_A1 __x) _NOEXCEPT {
return __x < 0;
}
template <class _A1, std::__enable_if_t<std::is_integral<_A1>::value && !std::is_signed<_A1>::value, int> = 0>
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI bool signbit(_A1) _NOEXCEPT {
return false;
}
// fpclassify
template <class _A1, std::__enable_if_t<std::is_floating_point<_A1>::value, int> = 0>
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI int fpclassify(_A1 __x) _NOEXCEPT {
return __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL, FP_SUBNORMAL, FP_ZERO, __x);
}
template <class _A1, std::__enable_if_t<std::is_integral<_A1>::value, int> = 0>
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI int fpclassify(_A1 __x) _NOEXCEPT {
return __x == 0 ? FP_ZERO : FP_NORMAL;
}
// The MSVC runtime already provides these functions as templates
#ifndef _LIBCPP_MSVCRT
// isfinite
template <class _A1,
std::__enable_if_t<std::is_arithmetic<_A1>::value && std::numeric_limits<_A1>::has_infinity, int> = 0>
_LIBCPP_NODISCARD_EXT _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isfinite(_A1 __x) _NOEXCEPT {
return __builtin_isfinite((typename std::__promote<_A1>::type)__x);
}
template <class _A1,
std::__enable_if_t<std::is_arithmetic<_A1>::value && !std::numeric_limits<_A1>::has_infinity, int> = 0>
_LIBCPP_NODISCARD_EXT _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isfinite(_A1) _NOEXCEPT {
return true;
}
// isinf
template <class _A1,
std::__enable_if_t<std::is_arithmetic<_A1>::value && std::numeric_limits<_A1>::has_infinity, int> = 0>
_LIBCPP_NODISCARD_EXT _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isinf(_A1 __x) _NOEXCEPT {
return __builtin_isinf((typename std::__promote<_A1>::type)__x);
}
template <class _A1>
_LIBCPP_NODISCARD_EXT _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI
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
_LIBCPP_NODISCARD_EXT inline _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isinf(float __x) _NOEXCEPT {
return __builtin_isinf(__x);
}
_LIBCPP_NODISCARD_EXT inline _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI _LIBCPP_PREFERRED_OVERLOAD bool isinf(double __x) _NOEXCEPT {
return __builtin_isinf(__x);
}
_LIBCPP_NODISCARD_EXT inline _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isinf(long double __x) _NOEXCEPT {
return __builtin_isinf(__x);
}
# endif
// isnan
template <class _A1, std::__enable_if_t<std::is_floating_point<_A1>::value, int> = 0>
_LIBCPP_NODISCARD_EXT _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isnan(_A1 __x) _NOEXCEPT {
return __builtin_isnan(__x);
}
template <class _A1, std::__enable_if_t<std::is_integral<_A1>::value, int> = 0>
_LIBCPP_NODISCARD_EXT _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isnan(_A1) _NOEXCEPT {
return false;
}
# ifdef _LIBCPP_PREFERRED_OVERLOAD
_LIBCPP_NODISCARD_EXT inline _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isnan(float __x) _NOEXCEPT {
return __builtin_isnan(__x);
}
_LIBCPP_NODISCARD_EXT inline _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI _LIBCPP_PREFERRED_OVERLOAD bool isnan(double __x) _NOEXCEPT {
return __builtin_isnan(__x);
}
_LIBCPP_NODISCARD_EXT inline _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isnan(long double __x) _NOEXCEPT {
return __builtin_isnan(__x);
}
# endif
// isnormal
template <class _A1, std::__enable_if_t<std::is_floating_point<_A1>::value, int> = 0>
_LIBCPP_NODISCARD_EXT _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isnormal(_A1 __x) _NOEXCEPT {
return __builtin_isnormal(__x);
}
template <class _A1, std::__enable_if_t<std::is_integral<_A1>::value, int> = 0>
_LIBCPP_NODISCARD_EXT _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isnormal(_A1 __x) _NOEXCEPT {
return __x != 0;
}
// isgreater
template <class _A1,
class _A2,
std::__enable_if_t<std::is_arithmetic<_A1>::value && std::is_arithmetic<_A2>::value, int> = 0>
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI bool isgreater(_A1 __x, _A2 __y) _NOEXCEPT {
typedef typename std::__promote<_A1, _A2>::type type;
return __builtin_isgreater((type)__x, (type)__y);
}
// isgreaterequal
template <class _A1,
class _A2,
std::__enable_if_t<std::is_arithmetic<_A1>::value && std::is_arithmetic<_A2>::value, int> = 0>
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI bool isgreaterequal(_A1 __x, _A2 __y) _NOEXCEPT {
typedef typename std::__promote<_A1, _A2>::type type;
return __builtin_isgreaterequal((type)__x, (type)__y);
}
// isless
template <class _A1,
class _A2,
std::__enable_if_t<std::is_arithmetic<_A1>::value && std::is_arithmetic<_A2>::value, int> = 0>
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI bool isless(_A1 __x, _A2 __y) _NOEXCEPT {
typedef typename std::__promote<_A1, _A2>::type type;
return __builtin_isless((type)__x, (type)__y);
}
// islessequal
template <class _A1,
class _A2,
std::__enable_if_t<std::is_arithmetic<_A1>::value && std::is_arithmetic<_A2>::value, int> = 0>
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI bool islessequal(_A1 __x, _A2 __y) _NOEXCEPT {
typedef typename std::__promote<_A1, _A2>::type type;
return __builtin_islessequal((type)__x, (type)__y);
}
// islessgreater
template <class _A1,
class _A2,
std::__enable_if_t<std::is_arithmetic<_A1>::value && std::is_arithmetic<_A2>::value, int> = 0>
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI bool islessgreater(_A1 __x, _A2 __y) _NOEXCEPT {
typedef typename std::__promote<_A1, _A2>::type type;
return __builtin_islessgreater((type)__x, (type)__y);
}
// isunordered
template <class _A1,
class _A2,
std::__enable_if_t<std::is_arithmetic<_A1>::value && std::is_arithmetic<_A2>::value, int> = 0>
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI bool isunordered(_A1 __x, _A2 __y) _NOEXCEPT {
typedef typename std::__promote<_A1, _A2>::type type;
return __builtin_isunordered((type)__x, (type)__y);
}
#endif // _LIBCPP_MSVCRT
// abs
//
// handled in stdlib.h
// div
//
// handled in stdlib.h
// We have to provide double overloads for <math.h> to work on platforms that don't provide the full set of math
// functions. To make the overload set work with multiple functions that take the same arguments, we make our overloads
// templates. Functions are preferred over function templates during overload resolution, which means that our overload
// will only be selected when the C library doesn't provide one.
// acos
# if !defined(__sun__)
inline _LIBCPP_HIDE_FROM_ABI float acos(float __x) _NOEXCEPT {return __builtin_acosf(__x);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double acos(double __x) _NOEXCEPT {
return __builtin_acos(__x);
}
inline _LIBCPP_HIDE_FROM_ABI long double acos(long double __x) _NOEXCEPT {return __builtin_acosl(__x);}
# endif
template <class _A1>
inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, double>::type
acos(_A1 __x) _NOEXCEPT {return __builtin_acos((double)__x);}
// asin
# if !defined(__sun__)
inline _LIBCPP_HIDE_FROM_ABI float asin(float __x) _NOEXCEPT {return __builtin_asinf(__x);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double asin(double __x) _NOEXCEPT {
return __builtin_asin(__x);
}
inline _LIBCPP_HIDE_FROM_ABI long double asin(long double __x) _NOEXCEPT {return __builtin_asinl(__x);}
# endif
template <class _A1>
inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, double>::type
asin(_A1 __x) _NOEXCEPT {return __builtin_asin((double)__x);}
// atan
# if !defined(__sun__)
inline _LIBCPP_HIDE_FROM_ABI float atan(float __x) _NOEXCEPT {return __builtin_atanf(__x);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double atan(double __x) _NOEXCEPT {
return __builtin_atan(__x);
}
inline _LIBCPP_HIDE_FROM_ABI long double atan(long double __x) _NOEXCEPT {return __builtin_atanl(__x);}
# endif
template <class _A1>
inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, double>::type
atan(_A1 __x) _NOEXCEPT {return __builtin_atan((double)__x);}
// atan2
# if !defined(__sun__)
inline _LIBCPP_HIDE_FROM_ABI float atan2(float __y, float __x) _NOEXCEPT {return __builtin_atan2f(__y, __x);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double atan2(double __x, double __y) _NOEXCEPT {
return __builtin_atan2(__x, __y);
}
inline _LIBCPP_HIDE_FROM_ABI long double atan2(long double __y, long double __x) _NOEXCEPT {return __builtin_atan2l(__y, __x);}
# endif
template <class _A1, class _A2>
inline _LIBCPP_HIDE_FROM_ABI
typename std::__enable_if_t
<
std::is_arithmetic<_A1>::value &&
std::is_arithmetic<_A2>::value,
std::__promote<_A1, _A2>
>::type
atan2(_A1 __y, _A2 __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)__y, (__result_type)__x);
}
// ceil
# if !defined(__sun__)
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI float ceil(float __x) _NOEXCEPT {return __builtin_ceilf(__x);}
template <class = int>
_LIBCPP_NODISCARD_EXT _LIBCPP_HIDE_FROM_ABI double ceil(double __x) _NOEXCEPT {
return __builtin_ceil(__x);
}
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI long double ceil(long double __x) _NOEXCEPT {return __builtin_ceill(__x);}
# endif
template <class _A1>
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, double>::type
ceil(_A1 __x) _NOEXCEPT {return __builtin_ceil((double)__x);}
// cos
# if !defined(__sun__)
inline _LIBCPP_HIDE_FROM_ABI float cos(float __x) _NOEXCEPT {return __builtin_cosf(__x);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double cos(double __x) _NOEXCEPT {
return __builtin_cos(__x);
}
inline _LIBCPP_HIDE_FROM_ABI long double cos(long double __x) _NOEXCEPT {return __builtin_cosl(__x);}
# endif
template <class _A1>
inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, double>::type
cos(_A1 __x) _NOEXCEPT {return __builtin_cos((double)__x);}
// cosh
# if !defined(__sun__)
inline _LIBCPP_HIDE_FROM_ABI float cosh(float __x) _NOEXCEPT {return __builtin_coshf(__x);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double cosh(double __x) _NOEXCEPT {
return __builtin_cosh(__x);
}
inline _LIBCPP_HIDE_FROM_ABI long double cosh(long double __x) _NOEXCEPT {return __builtin_coshl(__x);}
# endif
template <class _A1>
inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, double>::type
cosh(_A1 __x) _NOEXCEPT {return __builtin_cosh((double)__x);}
// exp
# if !defined(__sun__)
inline _LIBCPP_HIDE_FROM_ABI float exp(float __x) _NOEXCEPT {return __builtin_expf(__x);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double exp(double __x) _NOEXCEPT {
return __builtin_exp(__x);
}
inline _LIBCPP_HIDE_FROM_ABI long double exp(long double __x) _NOEXCEPT {return __builtin_expl(__x);}
# endif
template <class _A1>
inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, double>::type
exp(_A1 __x) _NOEXCEPT {return __builtin_exp((double)__x);}
// fabs
# if !defined(__sun__)
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI float fabs(float __x) _NOEXCEPT {return __builtin_fabsf(__x);}
template <class = int>
_LIBCPP_NODISCARD_EXT _LIBCPP_HIDE_FROM_ABI double fabs(double __x) _NOEXCEPT {
return __builtin_fabs(__x);
}
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI long double fabs(long double __x) _NOEXCEPT {return __builtin_fabsl(__x);}
# endif
template <class _A1>
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, double>::type
fabs(_A1 __x) _NOEXCEPT {return __builtin_fabs((double)__x);}
// floor
# if !defined(__sun__)
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI float floor(float __x) _NOEXCEPT {return __builtin_floorf(__x);}
template <class = int>
_LIBCPP_NODISCARD_EXT _LIBCPP_HIDE_FROM_ABI double floor(double __x) _NOEXCEPT {
return __builtin_floor(__x);
}
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI long double floor(long double __x) _NOEXCEPT {return __builtin_floorl(__x);}
# endif
template <class _A1>
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, double>::type
floor(_A1 __x) _NOEXCEPT {return __builtin_floor((double)__x);}
// fmod
# if !defined(__sun__)
inline _LIBCPP_HIDE_FROM_ABI float fmod(float __x, float __y) _NOEXCEPT {return __builtin_fmodf(__x, __y);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double fmod(double __x, double __y) _NOEXCEPT {
return __builtin_fmod(__x, __y);
}
inline _LIBCPP_HIDE_FROM_ABI long double fmod(long double __x, long double __y) _NOEXCEPT {return __builtin_fmodl(__x, __y);}
# endif
template <class _A1, class _A2>
inline _LIBCPP_HIDE_FROM_ABI
typename std::__enable_if_t
<
std::is_arithmetic<_A1>::value &&
std::is_arithmetic<_A2>::value,
std::__promote<_A1, _A2>
>::type
fmod(_A1 __x, _A2 __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)__x, (__result_type)__y);
}
// frexp
# if !defined(__sun__)
inline _LIBCPP_HIDE_FROM_ABI float frexp(float __x, int* __e) _NOEXCEPT {return __builtin_frexpf(__x, __e);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double frexp(double __x, int* __e) _NOEXCEPT {
return __builtin_frexp(__x, __e);
}
inline _LIBCPP_HIDE_FROM_ABI long double frexp(long double __x, int* __e) _NOEXCEPT {return __builtin_frexpl(__x, __e);}
# endif
template <class _A1>
inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, double>::type
frexp(_A1 __x, int* __e) _NOEXCEPT {return __builtin_frexp((double)__x, __e);}
// ldexp
# if !defined(__sun__)
inline _LIBCPP_HIDE_FROM_ABI float ldexp(float __x, int __e) _NOEXCEPT {return __builtin_ldexpf(__x, __e);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double ldexp(double __x, int __e) _NOEXCEPT {
return __builtin_ldexp(__x, __e);
}
inline _LIBCPP_HIDE_FROM_ABI long double ldexp(long double __x, int __e) _NOEXCEPT {return __builtin_ldexpl(__x, __e);}
# endif
template <class _A1>
inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, double>::type
ldexp(_A1 __x, int __e) _NOEXCEPT {return __builtin_ldexp((double)__x, __e);}
// log
# if !defined(__sun__)
inline _LIBCPP_HIDE_FROM_ABI float log(float __x) _NOEXCEPT {return __builtin_logf(__x);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double log(double __x) _NOEXCEPT {
return __builtin_log(__x);
}
inline _LIBCPP_HIDE_FROM_ABI long double log(long double __x) _NOEXCEPT {return __builtin_logl(__x);}
# endif
template <class _A1>
inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, double>::type
log(_A1 __x) _NOEXCEPT {return __builtin_log((double)__x);}
// log10
# if !defined(__sun__)
inline _LIBCPP_HIDE_FROM_ABI float log10(float __x) _NOEXCEPT {return __builtin_log10f(__x);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double log10(double __x) _NOEXCEPT {
return __builtin_log10(__x);
}
inline _LIBCPP_HIDE_FROM_ABI long double log10(long double __x) _NOEXCEPT {return __builtin_log10l(__x);}
# endif
template <class _A1>
inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, double>::type
log10(_A1 __x) _NOEXCEPT {return __builtin_log10((double)__x);}
// modf
# if !defined(__sun__)
inline _LIBCPP_HIDE_FROM_ABI float modf(float __x, float* __y) _NOEXCEPT {return __builtin_modff(__x, __y);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double modf(double __x, double* __y) _NOEXCEPT {
return __builtin_modf(__x, __y);
}
inline _LIBCPP_HIDE_FROM_ABI long double modf(long double __x, long double* __y) _NOEXCEPT {return __builtin_modfl(__x, __y);}
# endif
// pow
# if !defined(__sun__)
inline _LIBCPP_HIDE_FROM_ABI float pow(float __x, float __y) _NOEXCEPT {return __builtin_powf(__x, __y);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double pow(double __x, double __y) _NOEXCEPT {
return __builtin_pow(__x, __y);
}
inline _LIBCPP_HIDE_FROM_ABI long double pow(long double __x, long double __y) _NOEXCEPT {return __builtin_powl(__x, __y);}
# endif
template <class _A1, class _A2>
inline _LIBCPP_HIDE_FROM_ABI
typename std::__enable_if_t
<
std::is_arithmetic<_A1>::value &&
std::is_arithmetic<_A2>::value,
std::__promote<_A1, _A2>
>::type
pow(_A1 __x, _A2 __y) _NOEXCEPT
{
typedef typename std::__promote<_A1, _A2>::type __result_type;
static_assert((!(std::_IsSame<_A1, __result_type>::value &&
std::_IsSame<_A2, __result_type>::value)), "");
return ::pow((__result_type)__x, (__result_type)__y);
}
// sin
# if !defined(__sun__)
inline _LIBCPP_HIDE_FROM_ABI float sin(float __x) _NOEXCEPT {return __builtin_sinf(__x);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double sin(double __x) _NOEXCEPT {
return __builtin_sin(__x);
}
inline _LIBCPP_HIDE_FROM_ABI long double sin(long double __x) _NOEXCEPT {return __builtin_sinl(__x);}
#endif
template <class _A1>
inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, double>::type
sin(_A1 __x) _NOEXCEPT {return __builtin_sin((double)__x);}
// sinh
# if !defined(__sun__)
inline _LIBCPP_HIDE_FROM_ABI float sinh(float __x) _NOEXCEPT {return __builtin_sinhf(__x);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double sinh(double __x) _NOEXCEPT {
return __builtin_sinh(__x);
}
inline _LIBCPP_HIDE_FROM_ABI long double sinh(long double __x) _NOEXCEPT {return __builtin_sinhl(__x);}
# endif
template <class _A1>
inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, double>::type
sinh(_A1 __x) _NOEXCEPT {return __builtin_sinh((double)__x);}
// sqrt
# if !defined(__sun__)
inline _LIBCPP_HIDE_FROM_ABI float sqrt(float __x) _NOEXCEPT {return __builtin_sqrtf(__x);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double sqrt(double __x) _NOEXCEPT {
return __builtin_sqrt(__x);
}
inline _LIBCPP_HIDE_FROM_ABI long double sqrt(long double __x) _NOEXCEPT {return __builtin_sqrtl(__x);}
# endif
template <class _A1>
inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, double>::type
sqrt(_A1 __x) _NOEXCEPT {return __builtin_sqrt((double)__x);}
// tan
# if !defined(__sun__)
inline _LIBCPP_HIDE_FROM_ABI float tan(float __x) _NOEXCEPT {return __builtin_tanf(__x);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double tan(double __x) _NOEXCEPT {
return __builtin_tan(__x);
}
inline _LIBCPP_HIDE_FROM_ABI long double tan(long double __x) _NOEXCEPT {return __builtin_tanl(__x);}
# endif
template <class _A1>
inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, double>::type
tan(_A1 __x) _NOEXCEPT {return __builtin_tan((double)__x);}
// tanh
# if !defined(__sun__)
inline _LIBCPP_HIDE_FROM_ABI float tanh(float __x) _NOEXCEPT {return __builtin_tanhf(__x);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double tanh(double __x) _NOEXCEPT {
return __builtin_tanh(__x);
}
inline _LIBCPP_HIDE_FROM_ABI long double tanh(long double __x) _NOEXCEPT {return __builtin_tanhl(__x);}
# endif
template <class _A1>
inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, double>::type
tanh(_A1 __x) _NOEXCEPT {return __builtin_tanh((double)__x);}
// acosh
inline _LIBCPP_HIDE_FROM_ABI float acosh(float __x) _NOEXCEPT {return __builtin_acoshf(__x);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double acosh(double __x) _NOEXCEPT {
return __builtin_acosh(__x);
}
inline _LIBCPP_HIDE_FROM_ABI long double acosh(long double __x) _NOEXCEPT {return __builtin_acoshl(__x);}
template <class _A1>
inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, double>::type
acosh(_A1 __x) _NOEXCEPT {return __builtin_acosh((double)__x);}
// asinh
inline _LIBCPP_HIDE_FROM_ABI float asinh(float __x) _NOEXCEPT {return __builtin_asinhf(__x);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double asinh(double __x) _NOEXCEPT {
return __builtin_asinh(__x);
}
inline _LIBCPP_HIDE_FROM_ABI long double asinh(long double __x) _NOEXCEPT {return __builtin_asinhl(__x);}
template <class _A1>
inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, double>::type
asinh(_A1 __x) _NOEXCEPT {return __builtin_asinh((double)__x);}
// atanh
inline _LIBCPP_HIDE_FROM_ABI float atanh(float __x) _NOEXCEPT {return __builtin_atanhf(__x);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double atanh(double __x) _NOEXCEPT {
return __builtin_atanh(__x);
}
inline _LIBCPP_HIDE_FROM_ABI long double atanh(long double __x) _NOEXCEPT {return __builtin_atanhl(__x);}
template <class _A1>
inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, double>::type
atanh(_A1 __x) _NOEXCEPT {return __builtin_atanh((double)__x);}
// cbrt
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI float cbrt(float __x) _NOEXCEPT {return __builtin_cbrtf(__x);}
template <class = int>
_LIBCPP_NODISCARD_EXT _LIBCPP_HIDE_FROM_ABI double cbrt(double __x) _NOEXCEPT {
return __builtin_cbrt(__x);
}
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI long double cbrt(long double __x) _NOEXCEPT {return __builtin_cbrtl(__x);}
template <class _A1>
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, double>::type
cbrt(_A1 __x) _NOEXCEPT {return __builtin_cbrt((double)__x);}
// copysign
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI float copysign(float __x, float __y) _NOEXCEPT {
return ::__builtin_copysignf(__x, __y);
}
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI long double copysign(long double __x, long double __y) _NOEXCEPT {
return ::__builtin_copysignl(__x, __y);
}
template <class _A1, class _A2>
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI
typename std::__enable_if_t
<
std::is_arithmetic<_A1>::value &&
std::is_arithmetic<_A2>::value,
std::__promote<_A1, _A2>
>::type
copysign(_A1 __x, _A2 __y) _NOEXCEPT {
return ::__builtin_copysign(__x, __y);
}
// erf
inline _LIBCPP_HIDE_FROM_ABI float erf(float __x) _NOEXCEPT {return __builtin_erff(__x);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double erf(double __x) _NOEXCEPT {
return __builtin_erf(__x);
}
inline _LIBCPP_HIDE_FROM_ABI long double erf(long double __x) _NOEXCEPT {return __builtin_erfl(__x);}
template <class _A1>
inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, double>::type
erf(_A1 __x) _NOEXCEPT {return __builtin_erf((double)__x);}
// erfc
inline _LIBCPP_HIDE_FROM_ABI float erfc(float __x) _NOEXCEPT {return __builtin_erfcf(__x);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double erfc(double __x) _NOEXCEPT {
return __builtin_erfc(__x);
}
inline _LIBCPP_HIDE_FROM_ABI long double erfc(long double __x) _NOEXCEPT {return __builtin_erfcl(__x);}
template <class _A1>
inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, double>::type
erfc(_A1 __x) _NOEXCEPT {return __builtin_erfc((double)__x);}
// exp2
inline _LIBCPP_HIDE_FROM_ABI float exp2(float __x) _NOEXCEPT {return __builtin_exp2f(__x);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double exp2(double __x) _NOEXCEPT {
return __builtin_exp2(__x);
}
inline _LIBCPP_HIDE_FROM_ABI long double exp2(long double __x) _NOEXCEPT {return __builtin_exp2l(__x);}
template <class _A1>
inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, double>::type
exp2(_A1 __x) _NOEXCEPT {return __builtin_exp2((double)__x);}
// expm1
inline _LIBCPP_HIDE_FROM_ABI float expm1(float __x) _NOEXCEPT {return __builtin_expm1f(__x);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double expm1(double __x) _NOEXCEPT {
return __builtin_expm1(__x);
}
inline _LIBCPP_HIDE_FROM_ABI long double expm1(long double __x) _NOEXCEPT {return __builtin_expm1l(__x);}
template <class _A1>
inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, double>::type
expm1(_A1 __x) _NOEXCEPT {return __builtin_expm1((double)__x);}
// fdim
inline _LIBCPP_HIDE_FROM_ABI float fdim(float __x, float __y) _NOEXCEPT {return __builtin_fdimf(__x, __y);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double fdim(double __x, double __y) _NOEXCEPT {
return __builtin_fdim(__x, __y);
}
inline _LIBCPP_HIDE_FROM_ABI long double fdim(long double __x, long double __y) _NOEXCEPT {return __builtin_fdiml(__x, __y);}
template <class _A1, class _A2>
inline _LIBCPP_HIDE_FROM_ABI
typename std::__enable_if_t
<
std::is_arithmetic<_A1>::value &&
std::is_arithmetic<_A2>::value,
std::__promote<_A1, _A2>
>::type
fdim(_A1 __x, _A2 __y) _NOEXCEPT
{
typedef typename std::__promote<_A1, _A2>::type __result_type;
static_assert((!(std::_IsSame<_A1, __result_type>::value &&
std::_IsSame<_A2, __result_type>::value)), "");
return ::fdim((__result_type)__x, (__result_type)__y);
}
// fma
inline _LIBCPP_HIDE_FROM_ABI float fma(float __x, float __y, float __z) _NOEXCEPT
{
return __builtin_fmaf(__x, __y, __z);
}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double fma(double __x, double __y, double __z) _NOEXCEPT {
return __builtin_fma(__x, __y, __z);
}
inline _LIBCPP_HIDE_FROM_ABI long double fma(long double __x, long double __y, long double __z) _NOEXCEPT
{
return __builtin_fmal(__x, __y, __z);
}
template <class _A1, class _A2, class _A3>
inline _LIBCPP_HIDE_FROM_ABI
typename std::__enable_if_t
<
std::is_arithmetic<_A1>::value &&
std::is_arithmetic<_A2>::value &&
std::is_arithmetic<_A3>::value,
std::__promote<_A1, _A2, _A3>
>::type
fma(_A1 __x, _A2 __y, _A3 __z) _NOEXCEPT
{
typedef typename std::__promote<_A1, _A2, _A3>::type __result_type;
static_assert((!(std::_IsSame<_A1, __result_type>::value &&
std::_IsSame<_A2, __result_type>::value &&
std::_IsSame<_A3, __result_type>::value)), "");
return __builtin_fma((__result_type)__x, (__result_type)__y, (__result_type)__z);
}
// fmax
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI float fmax(float __x, float __y) _NOEXCEPT {return __builtin_fmaxf(__x, __y);}
template <class = int>
_LIBCPP_NODISCARD_EXT _LIBCPP_HIDE_FROM_ABI double fmax(double __x, double __y) _NOEXCEPT {
return __builtin_fmax(__x, __y);
}
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI long double fmax(long double __x, long double __y) _NOEXCEPT {return __builtin_fmaxl(__x, __y);}
template <class _A1, class _A2>
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI
typename std::__enable_if_t
<
std::is_arithmetic<_A1>::value &&
std::is_arithmetic<_A2>::value,
std::__promote<_A1, _A2>
>::type
fmax(_A1 __x, _A2 __y) _NOEXCEPT
{
typedef typename std::__promote<_A1, _A2>::type __result_type;
static_assert((!(std::_IsSame<_A1, __result_type>::value &&
std::_IsSame<_A2, __result_type>::value)), "");
return ::fmax((__result_type)__x, (__result_type)__y);
}
// fmin
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI float fmin(float __x, float __y) _NOEXCEPT {return __builtin_fminf(__x, __y);}
template <class = int>
_LIBCPP_NODISCARD_EXT _LIBCPP_HIDE_FROM_ABI double fmin(double __x, double __y) _NOEXCEPT {
return __builtin_fmin(__x, __y);
}
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI long double fmin(long double __x, long double __y) _NOEXCEPT {return __builtin_fminl(__x, __y);}
template <class _A1, class _A2>
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI
typename std::__enable_if_t
<
std::is_arithmetic<_A1>::value &&
std::is_arithmetic<_A2>::value,
std::__promote<_A1, _A2>
>::type
fmin(_A1 __x, _A2 __y) _NOEXCEPT
{
typedef typename std::__promote<_A1, _A2>::type __result_type;
static_assert((!(std::_IsSame<_A1, __result_type>::value &&
std::_IsSame<_A2, __result_type>::value)), "");
return ::fmin((__result_type)__x, (__result_type)__y);
}
// hypot
inline _LIBCPP_HIDE_FROM_ABI float hypot(float __x, float __y) _NOEXCEPT {return __builtin_hypotf(__x, __y);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double hypot(double __x, double __y) _NOEXCEPT {
return __builtin_hypot(__x, __y);
}
inline _LIBCPP_HIDE_FROM_ABI long double hypot(long double __x, long double __y) _NOEXCEPT {return __builtin_hypotl(__x, __y);}
template <class _A1, class _A2>
inline _LIBCPP_HIDE_FROM_ABI
typename std::__enable_if_t
<
std::is_arithmetic<_A1>::value &&
std::is_arithmetic<_A2>::value,
std::__promote<_A1, _A2>
>::type
hypot(_A1 __x, _A2 __y) _NOEXCEPT
{
typedef typename std::__promote<_A1, _A2>::type __result_type;
static_assert((!(std::_IsSame<_A1, __result_type>::value &&
std::_IsSame<_A2, __result_type>::value)), "");
return ::hypot((__result_type)__x, (__result_type)__y);
}
// ilogb
inline _LIBCPP_HIDE_FROM_ABI int ilogb(float __x) _NOEXCEPT {return __builtin_ilogbf(__x);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double ilogb(double __x) _NOEXCEPT {
return __builtin_ilogb(__x);
}
inline _LIBCPP_HIDE_FROM_ABI int ilogb(long double __x) _NOEXCEPT {return __builtin_ilogbl(__x);}
template <class _A1>
inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, int>::type
ilogb(_A1 __x) _NOEXCEPT {return __builtin_ilogb((double)__x);}
// lgamma
inline _LIBCPP_HIDE_FROM_ABI float lgamma(float __x) _NOEXCEPT {return __builtin_lgammaf(__x);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double lgamma(double __x) _NOEXCEPT {
return __builtin_lgamma(__x);
}
inline _LIBCPP_HIDE_FROM_ABI long double lgamma(long double __x) _NOEXCEPT {return __builtin_lgammal(__x);}
template <class _A1>
inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, double>::type
lgamma(_A1 __x) _NOEXCEPT {return __builtin_lgamma((double)__x);}
// llrint
inline _LIBCPP_HIDE_FROM_ABI long long llrint(float __x) _NOEXCEPT
{
return __builtin_llrintf(__x);
}
template <class = int>
_LIBCPP_HIDE_FROM_ABI long long llrint(double __x) _NOEXCEPT {
return __builtin_llrint(__x);
}
inline _LIBCPP_HIDE_FROM_ABI long long llrint(long double __x) _NOEXCEPT
{
return __builtin_llrintl(__x);
}
template <class _A1>
inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, long long>::type
llrint(_A1 __x) _NOEXCEPT
{
return __builtin_llrint((double)__x);
}
// llround
inline _LIBCPP_HIDE_FROM_ABI long long llround(float __x) _NOEXCEPT
{
return __builtin_llroundf(__x);
}
template <class = int>
_LIBCPP_HIDE_FROM_ABI long long llround(double __x) _NOEXCEPT {
return __builtin_llround(__x);
}
inline _LIBCPP_HIDE_FROM_ABI long long llround(long double __x) _NOEXCEPT
{
return __builtin_llroundl(__x);
}
template <class _A1>
inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, long long>::type
llround(_A1 __x) _NOEXCEPT
{
return __builtin_llround((double)__x);
}
// log1p
inline _LIBCPP_HIDE_FROM_ABI float log1p(float __x) _NOEXCEPT {return __builtin_log1pf(__x);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double log1p(double __x) _NOEXCEPT {
return __builtin_log1p(__x);
}
inline _LIBCPP_HIDE_FROM_ABI long double log1p(long double __x) _NOEXCEPT {return __builtin_log1pl(__x);}
template <class _A1>
inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, double>::type
log1p(_A1 __x) _NOEXCEPT {return __builtin_log1p((double)__x);}
// log2
inline _LIBCPP_HIDE_FROM_ABI float log2(float __x) _NOEXCEPT {return __builtin_log2f(__x);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double log2(double __x) _NOEXCEPT {
return __builtin_log2(__x);
}
inline _LIBCPP_HIDE_FROM_ABI long double log2(long double __x) _NOEXCEPT {return __builtin_log2l(__x);}
template <class _A1>
inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, double>::type
log2(_A1 __x) _NOEXCEPT {return __builtin_log2((double)__x);}
// logb
inline _LIBCPP_HIDE_FROM_ABI float logb(float __x) _NOEXCEPT {return __builtin_logbf(__x);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double logb(double __x) _NOEXCEPT {
return __builtin_logb(__x);
}
inline _LIBCPP_HIDE_FROM_ABI long double logb(long double __x) _NOEXCEPT {return __builtin_logbl(__x);}
template <class _A1>
inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, double>::type
logb(_A1 __x) _NOEXCEPT {return __builtin_logb((double)__x);}
// lrint
inline _LIBCPP_HIDE_FROM_ABI long lrint(float __x) _NOEXCEPT
{
return __builtin_lrintf(__x);
}
template <class = int>
_LIBCPP_HIDE_FROM_ABI long lrint(double __x) _NOEXCEPT {
return __builtin_lrint(__x);
}
inline _LIBCPP_HIDE_FROM_ABI long lrint(long double __x) _NOEXCEPT
{
return __builtin_lrintl(__x);
}
template <class _A1>
inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, long>::type
lrint(_A1 __x) _NOEXCEPT
{
return __builtin_lrint((double)__x);
}
// lround
inline _LIBCPP_HIDE_FROM_ABI long lround(float __x) _NOEXCEPT
{
return __builtin_lroundf(__x);
}
template <class = int>
_LIBCPP_HIDE_FROM_ABI long lround(double __x) _NOEXCEPT {
return __builtin_lround(__x);
}
inline _LIBCPP_HIDE_FROM_ABI long lround(long double __x) _NOEXCEPT
{
return __builtin_lroundl(__x);
}
template <class _A1>
inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, long>::type
lround(_A1 __x) _NOEXCEPT
{
return __builtin_lround((double)__x);
}
// nan
// nearbyint
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI float nearbyint(float __x) _NOEXCEPT {return __builtin_nearbyintf(__x);}
template <class = int>
_LIBCPP_NODISCARD_EXT _LIBCPP_HIDE_FROM_ABI double nearbyint(double __x) _NOEXCEPT {
return __builtin_nearbyint(__x);
}
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI long double nearbyint(long double __x) _NOEXCEPT {return __builtin_nearbyintl(__x);}
template <class _A1>
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, double>::type
nearbyint(_A1 __x) _NOEXCEPT {return __builtin_nearbyint((double)__x);}
// nextafter
inline _LIBCPP_HIDE_FROM_ABI float nextafter(float __x, float __y) _NOEXCEPT {return __builtin_nextafterf(__x, __y);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double nextafter(double __x, double __y) _NOEXCEPT {
return __builtin_nextafter(__x, __y);
}
inline _LIBCPP_HIDE_FROM_ABI long double nextafter(long double __x, long double __y) _NOEXCEPT {return __builtin_nextafterl(__x, __y);}
template <class _A1, class _A2>
inline _LIBCPP_HIDE_FROM_ABI
typename std::__enable_if_t
<
std::is_arithmetic<_A1>::value &&
std::is_arithmetic<_A2>::value,
std::__promote<_A1, _A2>
>::type
nextafter(_A1 __x, _A2 __y) _NOEXCEPT
{
typedef typename std::__promote<_A1, _A2>::type __result_type;
static_assert((!(std::_IsSame<_A1, __result_type>::value &&
std::_IsSame<_A2, __result_type>::value)), "");
return ::nextafter((__result_type)__x, (__result_type)__y);
}
// nexttoward
inline _LIBCPP_HIDE_FROM_ABI float nexttoward(float __x, long double __y) _NOEXCEPT {return __builtin_nexttowardf(__x, __y);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double nexttoward(double __x, long double __y) _NOEXCEPT {
return __builtin_nexttoward(__x, __y);
}
inline _LIBCPP_HIDE_FROM_ABI long double nexttoward(long double __x, long double __y) _NOEXCEPT {return __builtin_nexttowardl(__x, __y);}
template <class _A1>
inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, double>::type
nexttoward(_A1 __x, long double __y) _NOEXCEPT {return __builtin_nexttoward((double)__x, __y);}
// remainder
inline _LIBCPP_HIDE_FROM_ABI float remainder(float __x, float __y) _NOEXCEPT {return __builtin_remainderf(__x, __y);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double remainder(double __x, double __y) _NOEXCEPT {
return __builtin_remainder(__x, __y);
}
inline _LIBCPP_HIDE_FROM_ABI long double remainder(long double __x, long double __y) _NOEXCEPT {return __builtin_remainderl(__x, __y);}
template <class _A1, class _A2>
inline _LIBCPP_HIDE_FROM_ABI
typename std::__enable_if_t
<
std::is_arithmetic<_A1>::value &&
std::is_arithmetic<_A2>::value,
std::__promote<_A1, _A2>
>::type
remainder(_A1 __x, _A2 __y) _NOEXCEPT
{
typedef typename std::__promote<_A1, _A2>::type __result_type;
static_assert((!(std::_IsSame<_A1, __result_type>::value &&
std::_IsSame<_A2, __result_type>::value)), "");
return ::remainder((__result_type)__x, (__result_type)__y);
}
// remquo
inline _LIBCPP_HIDE_FROM_ABI float remquo(float __x, float __y, int* __z) _NOEXCEPT {return __builtin_remquof(__x, __y, __z);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double remquo(double __x, double __y, int* __z) _NOEXCEPT {
return __builtin_remquo(__x, __y, __z);
}
inline _LIBCPP_HIDE_FROM_ABI long double remquo(long double __x, long double __y, int* __z) _NOEXCEPT {return __builtin_remquol(__x, __y, __z);}
template <class _A1, class _A2>
inline _LIBCPP_HIDE_FROM_ABI
typename std::__enable_if_t
<
std::is_arithmetic<_A1>::value &&
std::is_arithmetic<_A2>::value,
std::__promote<_A1, _A2>
>::type
remquo(_A1 __x, _A2 __y, int* __z) _NOEXCEPT
{
typedef typename std::__promote<_A1, _A2>::type __result_type;
static_assert((!(std::_IsSame<_A1, __result_type>::value &&
std::_IsSame<_A2, __result_type>::value)), "");
return ::remquo((__result_type)__x, (__result_type)__y, __z);
}
// rint
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI float rint(float __x) _NOEXCEPT
{
return __builtin_rintf(__x);
}
template <class = int>
_LIBCPP_NODISCARD_EXT _LIBCPP_HIDE_FROM_ABI double rint(double __x) _NOEXCEPT {
return __builtin_rint(__x);
}
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI long double rint(long double __x) _NOEXCEPT
{
return __builtin_rintl(__x);
}
template <class _A1>
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, double>::type
rint(_A1 __x) _NOEXCEPT
{
return __builtin_rint((double)__x);
}
// round
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI float round(float __x) _NOEXCEPT
{
return __builtin_round(__x);
}
template <class = int>
_LIBCPP_NODISCARD_EXT _LIBCPP_HIDE_FROM_ABI double round(double __x) _NOEXCEPT {
return __builtin_round(__x);
}
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI long double round(long double __x) _NOEXCEPT
{
return __builtin_roundl(__x);
}
template <class _A1>
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, double>::type
round(_A1 __x) _NOEXCEPT
{
return __builtin_round((double)__x);
}
// scalbln
inline _LIBCPP_HIDE_FROM_ABI float scalbln(float __x, long __y) _NOEXCEPT {return __builtin_scalblnf(__x, __y);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double scalbln(double __x, long __y) _NOEXCEPT {
return __builtin_scalbln(__x, __y);
}
inline _LIBCPP_HIDE_FROM_ABI long double scalbln(long double __x, long __y) _NOEXCEPT {return __builtin_scalblnl(__x, __y);}
template <class _A1>
inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, double>::type
scalbln(_A1 __x, long __y) _NOEXCEPT {return __builtin_scalbln((double)__x, __y);}
// scalbn
inline _LIBCPP_HIDE_FROM_ABI float scalbn(float __x, int __y) _NOEXCEPT {return __builtin_scalbnf(__x, __y);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double scalbn(double __x, int __y) _NOEXCEPT {
return __builtin_scalbn(__x, __y);
}
inline _LIBCPP_HIDE_FROM_ABI long double scalbn(long double __x, int __y) _NOEXCEPT {return __builtin_scalbnl(__x, __y);}
template <class _A1>
inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, double>::type
scalbn(_A1 __x, int __y) _NOEXCEPT {return __builtin_scalbn((double)__x, __y);}
// tgamma
inline _LIBCPP_HIDE_FROM_ABI float tgamma(float __x) _NOEXCEPT {return __builtin_tgammaf(__x);}
template <class = int>
_LIBCPP_HIDE_FROM_ABI double tgamma(double __x) _NOEXCEPT {
return __builtin_tgamma(__x);
}
inline _LIBCPP_HIDE_FROM_ABI long double tgamma(long double __x) _NOEXCEPT {return __builtin_tgammal(__x);}
template <class _A1>
inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, double>::type
tgamma(_A1 __x) _NOEXCEPT {return __builtin_tgamma((double)__x);}
// trunc
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI float trunc(float __x) _NOEXCEPT
{
return __builtin_trunc(__x);
}
template <class = int>
_LIBCPP_NODISCARD_EXT _LIBCPP_HIDE_FROM_ABI double trunc(double __x) _NOEXCEPT {
return __builtin_trunc(__x);
}
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI long double trunc(long double __x) _NOEXCEPT
{
return __builtin_truncl(__x);
}
template <class _A1>
_LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI
typename std::enable_if<std::is_integral<_A1>::value, double>::type
trunc(_A1 __x) _NOEXCEPT
{
return __builtin_trunc((double)__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