darling-libcxx/include/cmath
Howard Hinnant 08e17472e4 Windows support by Ruben Van Boxem.
git-svn-id: https://llvm.org/svn/llvm-project/libcxx/trunk@142235 91177308-0d34-0410-b5e6-96231b3b80d8
2011-10-17 20:05:10 +00:00

1577 lines
40 KiB
C++

// -*- C++ -*-
//===---------------------------- cmath -----------------------------------===//
//
// 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_CMATH
#define _LIBCPP_CMATH
/*
cmath 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
namespace std
{
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(floating_point x);
int fpclassify(floating_point x);
bool isfinite(floating_point x);
bool isinf(floating_point x);
bool isnan(floating_point x);
bool isnormal(floating_point x);
bool isgreater(floating_point x, floating_point y);
bool isgreaterequal(floating_point x, floating_point y);
bool isless(floating_point x, floating_point y);
bool islessequal(floating_point x, floating_point y);
bool islessgreater(floating_point x, floating_point y);
bool isunordered(floating_point x, floating_point 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);
} // std
*/
#include <__config>
#include <math.h>
#include <type_traits>
#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
#pragma GCC system_header
#endif
// signbit
#ifdef signbit
template <class _A1>
_LIBCPP_ALWAYS_INLINE
bool
__libcpp_signbit(_A1 __x)
{
return signbit(__x);
}
#undef signbit
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type
signbit(_A1 __x)
{
return __libcpp_signbit(__x);
}
#endif // signbit
// fpclassify
#ifdef fpclassify
template <class _A1>
_LIBCPP_ALWAYS_INLINE
int
__libcpp_fpclassify(_A1 __x)
{
return fpclassify(__x);
}
#undef fpclassify
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename std::enable_if<std::is_floating_point<_A1>::value, int>::type
fpclassify(_A1 __x)
{
return __libcpp_fpclassify(__x);
}
#endif // fpclassify
// isfinite
#ifdef isfinite
template <class _A1>
_LIBCPP_ALWAYS_INLINE
bool
__libcpp_isfinite(_A1 __x)
{
return isfinite(__x);
}
#undef isfinite
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type
isfinite(_A1 __x)
{
return __libcpp_isfinite(__x);
}
#endif // isfinite
// isinf
#ifdef isinf
template <class _A1>
_LIBCPP_ALWAYS_INLINE
bool
__libcpp_isinf(_A1 __x)
{
return isinf(__x);
}
#undef isinf
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type
isinf(_A1 __x)
{
return __libcpp_isinf(__x);
}
#endif // isinf
// isnan
#ifdef isnan
template <class _A1>
_LIBCPP_ALWAYS_INLINE
bool
__libcpp_isnan(_A1 __x)
{
return isnan(__x);
}
#undef isnan
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type
isnan(_A1 __x)
{
return __libcpp_isnan(__x);
}
#endif // isnan
// isnormal
#ifdef isnormal
template <class _A1>
_LIBCPP_ALWAYS_INLINE
bool
__libcpp_isnormal(_A1 __x)
{
return isnormal(__x);
}
#undef isnormal
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type
isnormal(_A1 __x)
{
return __libcpp_isnormal(__x);
}
#endif // isnormal
// isgreater
#ifdef isgreater
template <class _A1, class _A2>
_LIBCPP_ALWAYS_INLINE
bool
__libcpp_isgreater(_A1 __x, _A2 __y)
{
return isgreater(__x, __y);
}
#undef isgreater
template <class _A1, class _A2>
inline _LIBCPP_INLINE_VISIBILITY
typename std::enable_if
<
std::is_floating_point<_A1>::value &&
std::is_floating_point<_A2>::value,
bool
>::type
isgreater(_A1 __x, _A2 __y)
{
return __libcpp_isgreater(__x, __y);
}
#endif // isgreater
// isgreaterequal
#ifdef isgreaterequal
template <class _A1, class _A2>
_LIBCPP_ALWAYS_INLINE
bool
__libcpp_isgreaterequal(_A1 __x, _A2 __y)
{
return isgreaterequal(__x, __y);
}
#undef isgreaterequal
template <class _A1, class _A2>
inline _LIBCPP_INLINE_VISIBILITY
typename std::enable_if
<
std::is_floating_point<_A1>::value &&
std::is_floating_point<_A2>::value,
bool
>::type
isgreaterequal(_A1 __x, _A2 __y)
{
return __libcpp_isgreaterequal(__x, __y);
}
#endif // isgreaterequal
// isless
#ifdef isless
template <class _A1, class _A2>
_LIBCPP_ALWAYS_INLINE
bool
__libcpp_isless(_A1 __x, _A2 __y)
{
return isless(__x, __y);
}
#undef isless
template <class _A1, class _A2>
inline _LIBCPP_INLINE_VISIBILITY
typename std::enable_if
<
std::is_floating_point<_A1>::value &&
std::is_floating_point<_A2>::value,
bool
>::type
isless(_A1 __x, _A2 __y)
{
return __libcpp_isless(__x, __y);
}
#endif // isless
// islessequal
#ifdef islessequal
template <class _A1, class _A2>
_LIBCPP_ALWAYS_INLINE
bool
__libcpp_islessequal(_A1 __x, _A2 __y)
{
return islessequal(__x, __y);
}
#undef islessequal
template <class _A1, class _A2>
inline _LIBCPP_INLINE_VISIBILITY
typename std::enable_if
<
std::is_floating_point<_A1>::value &&
std::is_floating_point<_A2>::value,
bool
>::type
islessequal(_A1 __x, _A2 __y)
{
return __libcpp_islessequal(__x, __y);
}
#endif // islessequal
// islessgreater
#ifdef islessgreater
template <class _A1, class _A2>
_LIBCPP_ALWAYS_INLINE
bool
__libcpp_islessgreater(_A1 __x, _A2 __y)
{
return islessgreater(__x, __y);
}
#undef islessgreater
template <class _A1, class _A2>
inline _LIBCPP_INLINE_VISIBILITY
typename std::enable_if
<
std::is_floating_point<_A1>::value &&
std::is_floating_point<_A2>::value,
bool
>::type
islessgreater(_A1 __x, _A2 __y)
{
return __libcpp_islessgreater(__x, __y);
}
#endif // islessgreater
// isunordered
#ifdef isunordered
template <class _A1, class _A2>
_LIBCPP_ALWAYS_INLINE
bool
__libcpp_isunordered(_A1 __x, _A2 __y)
{
return isunordered(__x, __y);
}
#undef isunordered
template <class _A1, class _A2>
inline _LIBCPP_INLINE_VISIBILITY
typename std::enable_if
<
std::is_floating_point<_A1>::value &&
std::is_floating_point<_A2>::value,
bool
>::type
isunordered(_A1 __x, _A2 __y)
{
return __libcpp_isunordered(__x, __y);
}
#endif // isunordered
_LIBCPP_BEGIN_NAMESPACE_STD
using ::signbit;
using ::fpclassify;
using ::isfinite;
using ::isinf;
using ::isnan;
using ::isnormal;
using ::isgreater;
using ::isgreaterequal;
using ::isless;
using ::islessequal;
using ::islessgreater;
using ::isunordered;
using ::isunordered;
using ::float_t;
using ::double_t;
// abs
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_floating_point<_A1>::value, _A1>::type
abs(_A1 __x) {return fabs(__x);}
// acos
using ::acos;
using ::acosf;
inline _LIBCPP_INLINE_VISIBILITY float acos(float __x) {return acosf(__x);}
inline _LIBCPP_INLINE_VISIBILITY long double acos(long double __x) {return acosl(__x);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, double>::type
acos(_A1 __x) {return acos((double)__x);}
// asin
using ::asin;
using ::asinf;
inline _LIBCPP_INLINE_VISIBILITY float asin(float __x) {return asinf(__x);}
inline _LIBCPP_INLINE_VISIBILITY long double asin(long double __x) {return asinl(__x);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, double>::type
asin(_A1 __x) {return asin((double)__x);}
// atan
using ::atan;
using ::atanf;
inline _LIBCPP_INLINE_VISIBILITY float atan(float __x) {return atanf(__x);}
inline _LIBCPP_INLINE_VISIBILITY long double atan(long double __x) {return atanl(__x);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, double>::type
atan(_A1 __x) {return atan((double)__x);}
// atan2
using ::atan2;
using ::atan2f;
inline _LIBCPP_INLINE_VISIBILITY float atan2(float __y, float __x) {return atan2f(__y, __x);}
inline _LIBCPP_INLINE_VISIBILITY long double atan2(long double __y, long double __x) {return atan2l(__y, __x);}
template <class _A1, class _A2>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if
<
is_arithmetic<_A1>::value &&
is_arithmetic<_A2>::value,
typename __promote<_A1, _A2>::type
>::type
atan2(_A1 __y, _A2 __x)
{
typedef typename __promote<_A1, _A2>::type __result_type;
static_assert((!(is_same<_A1, __result_type>::value &&
is_same<_A2, __result_type>::value)), "");
return atan2((__result_type)__y, (__result_type)__x);
}
// ceil
using ::ceil;
using ::ceilf;
inline _LIBCPP_INLINE_VISIBILITY float ceil(float __x) {return ceilf(__x);}
inline _LIBCPP_INLINE_VISIBILITY long double ceil(long double __x) {return ceill(__x);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, double>::type
ceil(_A1 __x) {return ceil((double)__x);}
// cos
using ::cos;
using ::cosf;
inline _LIBCPP_INLINE_VISIBILITY float cos(float __x) {return cosf(__x);}
inline _LIBCPP_INLINE_VISIBILITY long double cos(long double __x) {return cosl(__x);}
template <class _A1>
inline _LIBCPP_ALWAYS_INLINE _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, double>::type
cos(_A1 __x) {return cos((double)__x);}
// cosh
using ::cosh;
using ::coshf;
inline _LIBCPP_INLINE_VISIBILITY float cosh(float __x) {return coshf(__x);}
inline _LIBCPP_INLINE_VISIBILITY long double cosh(long double __x) {return coshl(__x);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, double>::type
cosh(_A1 __x) {return cosh((double)__x);}
// exp
using ::exp;
using ::expf;
inline _LIBCPP_INLINE_VISIBILITY float exp(float __x) {return expf(__x);}
inline _LIBCPP_INLINE_VISIBILITY long double exp(long double __x) {return expl(__x);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, double>::type
exp(_A1 __x) {return exp((double)__x);}
// fabs
using ::fabs;
using ::fabsf;
inline _LIBCPP_INLINE_VISIBILITY float fabs(float __x) {return fabsf(__x);}
inline _LIBCPP_INLINE_VISIBILITY long double fabs(long double __x) {return fabsl(__x);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, double>::type
fabs(_A1 __x) {return fabs((double)__x);}
// floor
using ::floor;
using ::floorf;
inline _LIBCPP_INLINE_VISIBILITY float floor(float __x) {return floorf(__x);}
inline _LIBCPP_INLINE_VISIBILITY long double floor(long double __x) {return floorl(__x);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, double>::type
floor(_A1 __x) {return floor((double)__x);}
// fmod
using ::fmod;
using ::fmodf;
inline _LIBCPP_INLINE_VISIBILITY float fmod(float __x, float __y) {return fmodf(__x, __y);}
inline _LIBCPP_INLINE_VISIBILITY long double fmod(long double __x, long double __y) {return fmodl(__x, __y);}
template <class _A1, class _A2>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if
<
is_arithmetic<_A1>::value &&
is_arithmetic<_A2>::value,
typename __promote<_A1, _A2>::type
>::type
fmod(_A1 __x, _A2 __y)
{
typedef typename __promote<_A1, _A2>::type __result_type;
static_assert((!(is_same<_A1, __result_type>::value &&
is_same<_A2, __result_type>::value)), "");
return fmod((__result_type)__x, (__result_type)__y);
}
// frexp
using ::frexp;
using ::frexpf;
inline _LIBCPP_INLINE_VISIBILITY float frexp(float __x, int* __e) {return frexpf(__x, __e);}
inline _LIBCPP_INLINE_VISIBILITY long double frexp(long double __x, int* __e) {return frexpl(__x, __e);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, double>::type
frexp(_A1 __x, int* __e) {return frexp((double)__x, __e);}
// ldexp
using ::ldexp;
using ::ldexpf;
inline _LIBCPP_INLINE_VISIBILITY float ldexp(float __x, int __e) {return ldexpf(__x, __e);}
inline _LIBCPP_INLINE_VISIBILITY long double ldexp(long double __x, int __e) {return ldexpl(__x, __e);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, double>::type
ldexp(_A1 __x, int __e) {return ldexp((double)__x, __e);}
// log
using ::log;
using ::logf;
inline _LIBCPP_INLINE_VISIBILITY float log(float __x) {return logf(__x);}
inline _LIBCPP_INLINE_VISIBILITY long double log(long double __x) {return logl(__x);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, double>::type
log(_A1 __x) {return log((double)__x);}
// log10
using ::log10;
using ::log10f;
inline _LIBCPP_INLINE_VISIBILITY float log10(float __x) {return log10f(__x);}
inline _LIBCPP_INLINE_VISIBILITY long double log10(long double __x) {return log10l(__x);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, double>::type
log10(_A1 __x) {return log10((double)__x);}
// modf
using ::modf;
using ::modff;
inline _LIBCPP_INLINE_VISIBILITY float modf(float __x, float* __y) {return modff(__x, __y);}
inline _LIBCPP_INLINE_VISIBILITY long double modf(long double __x, long double* __y) {return modfl(__x, __y);}
// pow
using ::pow;
using ::powf;
inline _LIBCPP_INLINE_VISIBILITY float pow(float __x, float __y) {return powf(__x, __y);}
inline _LIBCPP_INLINE_VISIBILITY long double pow(long double __x, long double __y) {return powl(__x, __y);}
template <class _A1, class _A2>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if
<
is_arithmetic<_A1>::value &&
is_arithmetic<_A2>::value,
typename __promote<_A1, _A2>::type
>::type
pow(_A1 __x, _A2 __y)
{
typedef typename __promote<_A1, _A2>::type __result_type;
static_assert((!(is_same<_A1, __result_type>::value &&
is_same<_A2, __result_type>::value)), "");
return pow((__result_type)__x, (__result_type)__y);
}
// sin
using ::sin;
using ::sinf;
inline _LIBCPP_INLINE_VISIBILITY float sin(float __x) {return sinf(__x);}
inline _LIBCPP_INLINE_VISIBILITY long double sin(long double __x) {return sinl(__x);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, double>::type
sin(_A1 __x) {return sin((double)__x);}
// sinh
using ::sinh;
using ::sinhf;
inline _LIBCPP_INLINE_VISIBILITY float sinh(float __x) {return sinhf(__x);}
inline _LIBCPP_INLINE_VISIBILITY long double sinh(long double __x) {return sinhl(__x);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, double>::type
sinh(_A1 __x) {return sinh((double)__x);}
// sqrt
using ::sqrt;
using ::sqrtf;
inline _LIBCPP_INLINE_VISIBILITY float sqrt(float __x) {return sqrtf(__x);}
inline _LIBCPP_INLINE_VISIBILITY long double sqrt(long double __x) {return sqrtl(__x);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, double>::type
sqrt(_A1 __x) {return sqrt((double)__x);}
// tan
using ::tan;
using ::tanf;
inline _LIBCPP_INLINE_VISIBILITY float tan(float __x) {return tanf(__x);}
inline _LIBCPP_INLINE_VISIBILITY long double tan(long double __x) {return tanl(__x);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, double>::type
tan(_A1 __x) {return tan((double)__x);}
// tanh
using ::tanh;
using ::tanhf;
inline _LIBCPP_INLINE_VISIBILITY float tanh(float __x) {return tanhf(__x);}
inline _LIBCPP_INLINE_VISIBILITY long double tanh(long double __x) {return tanhl(__x);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, double>::type
tanh(_A1 __x) {return tanh((double)__x);}
// acosh
using ::acosh;
using ::acoshf;
inline _LIBCPP_INLINE_VISIBILITY float acosh(float __x) {return acoshf(__x);}
inline _LIBCPP_INLINE_VISIBILITY long double acosh(long double __x) {return acoshl(__x);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, double>::type
acosh(_A1 __x) {return acosh((double)__x);}
// asinh
using ::asinh;
using ::asinhf;
inline _LIBCPP_INLINE_VISIBILITY float asinh(float __x) {return asinhf(__x);}
inline _LIBCPP_INLINE_VISIBILITY long double asinh(long double __x) {return asinhl(__x);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, double>::type
asinh(_A1 __x) {return asinh((double)__x);}
// atanh
using ::atanh;
using ::atanhf;
inline _LIBCPP_INLINE_VISIBILITY float atanh(float __x) {return atanhf(__x);}
inline _LIBCPP_INLINE_VISIBILITY long double atanh(long double __x) {return atanhl(__x);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, double>::type
atanh(_A1 __x) {return atanh((double)__x);}
// cbrt
using ::cbrt;
using ::cbrtf;
inline _LIBCPP_INLINE_VISIBILITY float cbrt(float __x) {return cbrtf(__x);}
inline _LIBCPP_INLINE_VISIBILITY long double cbrt(long double __x) {return cbrtl(__x);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, double>::type
cbrt(_A1 __x) {return cbrt((double)__x);}
// copysign
using ::copysign;
using ::copysignf;
inline _LIBCPP_INLINE_VISIBILITY float copysign(float __x, float __y) {return copysignf(__x, __y);}
inline _LIBCPP_INLINE_VISIBILITY long double copysign(long double __x, long double __y) {return copysignl(__x, __y);}
template <class _A1, class _A2>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if
<
is_arithmetic<_A1>::value &&
is_arithmetic<_A2>::value,
typename __promote<_A1, _A2>::type
>::type
copysign(_A1 __x, _A2 __y)
{
typedef typename __promote<_A1, _A2>::type __result_type;
static_assert((!(is_same<_A1, __result_type>::value &&
is_same<_A2, __result_type>::value)), "");
return copysign((__result_type)__x, (__result_type)__y);
}
// erf
using ::erf;
using ::erff;
inline _LIBCPP_INLINE_VISIBILITY float erf(float __x) {return erff(__x);}
inline _LIBCPP_INLINE_VISIBILITY long double erf(long double __x) {return erfl(__x);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, double>::type
erf(_A1 __x) {return erf((double)__x);}
// erfc
using ::erfc;
using ::erfcf;
inline _LIBCPP_INLINE_VISIBILITY float erfc(float __x) {return erfcf(__x);}
inline _LIBCPP_INLINE_VISIBILITY long double erfc(long double __x) {return erfcl(__x);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, double>::type
erfc(_A1 __x) {return erfc((double)__x);}
// exp2
using ::exp2;
using ::exp2f;
inline _LIBCPP_INLINE_VISIBILITY float exp2(float __x) {return exp2f(__x);}
inline _LIBCPP_INLINE_VISIBILITY long double exp2(long double __x) {return exp2l(__x);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, double>::type
exp2(_A1 __x) {return exp2((double)__x);}
// expm1
using ::expm1;
using ::expm1f;
inline _LIBCPP_INLINE_VISIBILITY float expm1(float __x) {return expm1f(__x);}
inline _LIBCPP_INLINE_VISIBILITY long double expm1(long double __x) {return expm1l(__x);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, double>::type
expm1(_A1 __x) {return expm1((double)__x);}
// fdim
using ::fdim;
using ::fdimf;
inline _LIBCPP_INLINE_VISIBILITY float fdim(float __x, float __y) {return fdimf(__x, __y);}
inline _LIBCPP_INLINE_VISIBILITY long double fdim(long double __x, long double __y) {return fdiml(__x, __y);}
template <class _A1, class _A2>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if
<
is_arithmetic<_A1>::value &&
is_arithmetic<_A2>::value,
typename __promote<_A1, _A2>::type
>::type
fdim(_A1 __x, _A2 __y)
{
typedef typename __promote<_A1, _A2>::type __result_type;
static_assert((!(is_same<_A1, __result_type>::value &&
is_same<_A2, __result_type>::value)), "");
return fdim((__result_type)__x, (__result_type)__y);
}
// fma
inline _LIBCPP_INLINE_VISIBILITY float fmaf(float __x, float __y, float __z) {return (float)((double)__x*__y + __z);}
#define FP_FAST_FMAF
using ::fma;
inline _LIBCPP_INLINE_VISIBILITY float fma(float __x, float __y, float __z) {return fmaf(__x, __y, __z);}
inline _LIBCPP_INLINE_VISIBILITY long double fma(long double __x, long double __y, long double __z) {return fmal(__x, __y, __z);}
template <class _A1, class _A2, class _A3>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if
<
is_arithmetic<_A1>::value &&
is_arithmetic<_A2>::value &&
is_arithmetic<_A3>::value,
typename __promote<_A1, _A2, _A3>::type
>::type
fma(_A1 __x, _A2 __y, _A3 __z)
{
typedef typename __promote<_A1, _A2, _A3>::type __result_type;
static_assert((!(is_same<_A1, __result_type>::value &&
is_same<_A2, __result_type>::value &&
is_same<_A3, __result_type>::value)), "");
return fma((__result_type)__x, (__result_type)__y, (__result_type)__z);
}
// fmax
using ::fmax;
using ::fmaxf;
inline _LIBCPP_INLINE_VISIBILITY float fmax(float __x, float __y) {return fmaxf(__x, __y);}
inline _LIBCPP_INLINE_VISIBILITY long double fmax(long double __x, long double __y) {return fmaxl(__x, __y);}
template <class _A1, class _A2>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if
<
is_arithmetic<_A1>::value &&
is_arithmetic<_A2>::value,
typename __promote<_A1, _A2>::type
>::type
fmax(_A1 __x, _A2 __y)
{
typedef typename __promote<_A1, _A2>::type __result_type;
static_assert((!(is_same<_A1, __result_type>::value &&
is_same<_A2, __result_type>::value)), "");
return fmax((__result_type)__x, (__result_type)__y);
}
// fmin
using ::fmin;
using ::fminf;
inline _LIBCPP_INLINE_VISIBILITY float fmin(float __x, float __y) {return fminf(__x, __y);}
inline _LIBCPP_INLINE_VISIBILITY long double fmin(long double __x, long double __y) {return fminl(__x, __y);}
template <class _A1, class _A2>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if
<
is_arithmetic<_A1>::value &&
is_arithmetic<_A2>::value,
typename __promote<_A1, _A2>::type
>::type
fmin(_A1 __x, _A2 __y)
{
typedef typename __promote<_A1, _A2>::type __result_type;
static_assert((!(is_same<_A1, __result_type>::value &&
is_same<_A2, __result_type>::value)), "");
return fmin((__result_type)__x, (__result_type)__y);
}
// hypot
using ::hypot;
using ::hypotf;
inline _LIBCPP_INLINE_VISIBILITY float hypot(float __x, float __y) {return hypotf(__x, __y);}
inline _LIBCPP_INLINE_VISIBILITY long double hypot(long double __x, long double __y) {return hypotl(__x, __y);}
template <class _A1, class _A2>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if
<
is_arithmetic<_A1>::value &&
is_arithmetic<_A2>::value,
typename __promote<_A1, _A2>::type
>::type
hypot(_A1 __x, _A2 __y)
{
typedef typename __promote<_A1, _A2>::type __result_type;
static_assert((!(is_same<_A1, __result_type>::value &&
is_same<_A2, __result_type>::value)), "");
return hypot((__result_type)__x, (__result_type)__y);
}
// ilogb
using ::ilogb;
using ::ilogbf;
inline _LIBCPP_INLINE_VISIBILITY int ilogb(float __x) {return ilogbf(__x);}
inline _LIBCPP_INLINE_VISIBILITY int ilogb(long double __x) {return ilogbl(__x);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, int>::type
ilogb(_A1 __x) {return ilogb((double)__x);}
// lgamma
using ::lgamma;
using ::lgammaf;
inline _LIBCPP_INLINE_VISIBILITY float lgamma(float __x) {return lgammaf(__x);}
inline _LIBCPP_INLINE_VISIBILITY long double lgamma(long double __x) {return lgammal(__x);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, double>::type
lgamma(_A1 __x) {return lgamma((double)__x);}
// llrint
using ::llrint;
using ::llrintf;
inline _LIBCPP_INLINE_VISIBILITY long long llrint(float __x) {return llrintf(__x);}
inline _LIBCPP_INLINE_VISIBILITY long long llrint(long double __x) {return llrintl(__x);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, long long>::type
llrint(_A1 __x) {return llrint((double)__x);}
// llround
using ::llround;
using ::llroundf;
inline _LIBCPP_INLINE_VISIBILITY long long llround(float __x) {return llroundf(__x);}
inline _LIBCPP_INLINE_VISIBILITY long long llround(long double __x) {return llroundl(__x);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, long long>::type
llround(_A1 __x) {return llround((double)__x);}
// log1p
using ::log1p;
using ::log1pf;
inline _LIBCPP_INLINE_VISIBILITY float log1p(float __x) {return log1pf(__x);}
inline _LIBCPP_INLINE_VISIBILITY long double log1p(long double __x) {return log1pl(__x);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, double>::type
log1p(_A1 __x) {return log1p((double)__x);}
// log2
using ::log2;
using ::log2f;
inline _LIBCPP_INLINE_VISIBILITY float log2(float __x) {return log2f(__x);}
inline _LIBCPP_INLINE_VISIBILITY long double log2(long double __x) {return log2l(__x);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, double>::type
log2(_A1 __x) {return log2((double)__x);}
// logb
using ::logb;
using ::logbf;
inline _LIBCPP_INLINE_VISIBILITY float logb(float __x) {return logbf(__x);}
inline _LIBCPP_INLINE_VISIBILITY long double logb(long double __x) {return logbl(__x);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, double>::type
logb(_A1 __x) {return logb((double)__x);}
// lrint
using ::lrint;
using ::lrintf;
inline _LIBCPP_INLINE_VISIBILITY long lrint(float __x) {return lrintf(__x);}
inline _LIBCPP_INLINE_VISIBILITY long lrint(long double __x) {return lrintl(__x);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, long>::type
lrint(_A1 __x) {return lrint((double)__x);}
// lround
using ::lround;
using ::lroundf;
inline _LIBCPP_INLINE_VISIBILITY long lround(float __x) {return lroundf(__x);}
inline _LIBCPP_INLINE_VISIBILITY long lround(long double __x) {return lroundl(__x);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, long>::type
lround(_A1 __x) {return lround((double)__x);}
// nan
using ::nan;
using ::nanf;
// nearbyint
using ::nearbyint;
using ::nearbyintf;
inline _LIBCPP_INLINE_VISIBILITY float nearbyint(float __x) {return nearbyintf(__x);}
inline _LIBCPP_INLINE_VISIBILITY long double nearbyint(long double __x) {return nearbyintl(__x);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, double>::type
nearbyint(_A1 __x) {return nearbyint((double)__x);}
// nextafter
using ::nextafter;
using ::nextafterf;
inline _LIBCPP_INLINE_VISIBILITY float nextafter(float __x, float __y) {return nextafterf(__x, __y);}
inline _LIBCPP_INLINE_VISIBILITY long double nextafter(long double __x, long double __y) {return nextafterl(__x, __y);}
template <class _A1, class _A2>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if
<
is_arithmetic<_A1>::value &&
is_arithmetic<_A2>::value,
typename __promote<_A1, _A2>::type
>::type
nextafter(_A1 __x, _A2 __y)
{
typedef typename __promote<_A1, _A2>::type __result_type;
static_assert((!(is_same<_A1, __result_type>::value &&
is_same<_A2, __result_type>::value)), "");
return nextafter((__result_type)__x, (__result_type)__y);
}
// nexttoward
using ::nexttoward;
using ::nexttowardf;
inline _LIBCPP_INLINE_VISIBILITY float nexttoward(float __x, long double __y) {return nexttowardf(__x, __y);}
inline _LIBCPP_INLINE_VISIBILITY long double nexttoward(long double __x, long double __y) {return nexttowardl(__x, __y);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, double>::type
nexttoward(_A1 __x, long double __y) {return nexttoward((double)__x, __y);}
// remainder
using ::remainder;
using ::remainderf;
inline _LIBCPP_INLINE_VISIBILITY float remainder(float __x, float __y) {return remainderf(__x, __y);}
inline _LIBCPP_INLINE_VISIBILITY long double remainder(long double __x, long double __y) {return remainderl(__x, __y);}
template <class _A1, class _A2>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if
<
is_arithmetic<_A1>::value &&
is_arithmetic<_A2>::value,
typename __promote<_A1, _A2>::type
>::type
remainder(_A1 __x, _A2 __y)
{
typedef typename __promote<_A1, _A2>::type __result_type;
static_assert((!(is_same<_A1, __result_type>::value &&
is_same<_A2, __result_type>::value)), "");
return remainder((__result_type)__x, (__result_type)__y);
}
// remquo
using ::remquo;
using ::remquof;
inline _LIBCPP_INLINE_VISIBILITY float remquo(float __x, float __y, int* __z) {return remquof(__x, __y, __z);}
inline _LIBCPP_INLINE_VISIBILITY long double remquo(long double __x, long double __y, int* __z) {return remquol(__x, __y, __z);}
template <class _A1, class _A2>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if
<
is_arithmetic<_A1>::value &&
is_arithmetic<_A2>::value,
typename __promote<_A1, _A2>::type
>::type
remquo(_A1 __x, _A2 __y, int* __z)
{
typedef typename __promote<_A1, _A2>::type __result_type;
static_assert((!(is_same<_A1, __result_type>::value &&
is_same<_A2, __result_type>::value)), "");
return remquo((__result_type)__x, (__result_type)__y, __z);
}
// rint
using ::rint;
using ::rintf;
inline _LIBCPP_INLINE_VISIBILITY float rint(float __x) {return rintf(__x);}
inline _LIBCPP_INLINE_VISIBILITY long double rint(long double __x) {return rintl(__x);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, double>::type
rint(_A1 __x) {return rint((double)__x);}
// round
using ::round;
using ::roundf;
inline _LIBCPP_INLINE_VISIBILITY float round(float __x) {return roundf(__x);}
inline _LIBCPP_INLINE_VISIBILITY long double round(long double __x) {return roundl(__x);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, double>::type
round(_A1 __x) {return round((double)__x);}
// scalbln
using ::scalbln;
using ::scalblnf;
inline _LIBCPP_INLINE_VISIBILITY float scalbln(float __x, long __y) {return scalblnf(__x, __y);}
inline _LIBCPP_INLINE_VISIBILITY long double scalbln(long double __x, long __y) {return scalblnl(__x, __y);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, double>::type
scalbln(_A1 __x, long __y) {return scalbln((double)__x, __y);}
// scalbn
using ::scalbn;
using ::scalbnf;
inline _LIBCPP_INLINE_VISIBILITY float scalbn(float __x, int __y) {return scalbnf(__x, __y);}
inline _LIBCPP_INLINE_VISIBILITY long double scalbn(long double __x, int __y) {return scalbnl(__x, __y);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, double>::type
scalbn(_A1 __x, int __y) {return scalbn((double)__x, __y);}
// tgamma
using ::tgamma;
using ::tgammaf;
inline _LIBCPP_INLINE_VISIBILITY float tgamma(float __x) {return tgammaf(__x);}
inline _LIBCPP_INLINE_VISIBILITY long double tgamma(long double __x) {return tgammal(__x);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, double>::type
tgamma(_A1 __x) {return tgamma((double)__x);}
// trunc
using ::trunc;
using ::truncf;
inline _LIBCPP_INLINE_VISIBILITY float trunc(float __x) {return truncf(__x);}
inline _LIBCPP_INLINE_VISIBILITY long double trunc(long double __x) {return truncl(__x);}
template <class _A1>
inline _LIBCPP_INLINE_VISIBILITY
typename enable_if<is_integral<_A1>::value, double>::type
trunc(_A1 __x) {return trunc((double)__x);}
using ::acosl;
using ::asinl;
using ::atanl;
using ::atan2l;
using ::ceill;
using ::cosl;
using ::coshl;
using ::expl;
using ::fabsl;
using ::floorl;
using ::fmodl;
using ::frexpl;
using ::ldexpl;
using ::logl;
using ::log10l;
using ::modfl;
using ::powl;
using ::sinl;
using ::sinhl;
using ::sqrtl;
using ::tanl;
using ::tanhl;
using ::acoshl;
using ::asinhl;
using ::atanhl;
using ::cbrtl;
using ::copysignl;
using ::erfl;
using ::erfcl;
using ::exp2l;
using ::expm1l;
using ::fdiml;
using ::fmal;
using ::fmaxl;
using ::fminl;
using ::hypotl;
using ::ilogbl;
using ::lgammal;
using ::llrintl;
using ::llroundl;
using ::log1pl;
using ::log2l;
using ::logbl;
using ::lrintl;
using ::lroundl;
using ::nanl;
using ::nearbyintl;
using ::nextafterl;
using ::nexttowardl;
using ::remainderl;
using ::remquol;
using ::rintl;
using ::roundl;
using ::scalblnl;
using ::scalbnl;
using ::tgammal;
using ::truncl;
_LIBCPP_END_NAMESPACE_STD
#endif // _LIBCPP_CMATH