| // -*- C++ -*- C forwarding header. |
| |
| // Copyright (C) 1997-2022 Free Software Foundation, Inc. |
| // |
| // This file is part of the GNU ISO C++ Library. This library is free |
| // software; you can redistribute it and/or modify it under the |
| // terms of the GNU General Public License as published by the |
| // Free Software Foundation; either version 3, or (at your option) |
| // any later version. |
| |
| // This library is distributed in the hope that it will be useful, |
| // but WITHOUT ANY WARRANTY; without even the implied warranty of |
| // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
| // GNU General Public License for more details. |
| |
| // Under Section 7 of GPL version 3, you are granted additional |
| // permissions described in the GCC Runtime Library Exception, version |
| // 3.1, as published by the Free Software Foundation. |
| |
| // You should have received a copy of the GNU General Public License and |
| // a copy of the GCC Runtime Library Exception along with this program; |
| // see the files COPYING3 and COPYING.RUNTIME respectively. If not, see |
| // <http://www.gnu.org/licenses/>. |
| |
| /** @file include/cmath |
| * This is a Standard C++ Library file. You should @c \#include this file |
| * in your programs, rather than any of the @a *.h implementation files. |
| * |
| * This is the C++ version of the Standard C Library header @c math.h, |
| * and its contents are (mostly) the same as that header, but are all |
| * contained in the namespace @c std (except for names which are defined |
| * as macros in C). |
| */ |
| |
| // |
| // ISO C++ 14882: 26.5 C library |
| // |
| |
| #pragma GCC system_header |
| |
| #include <bits/requires_hosted.h> |
| |
| #include <bits/c++config.h> |
| #include <bits/cpp_type_traits.h> |
| #include <ext/type_traits.h> |
| #define _GLIBCXX_INCLUDE_NEXT_C_HEADERS |
| #include_next <math.h> |
| #undef _GLIBCXX_INCLUDE_NEXT_C_HEADERS |
| #include <bits/std_abs.h> |
| |
| #ifndef _GLIBCXX_CMATH |
| #define _GLIBCXX_CMATH 1 |
| |
| // Get rid of those macros defined in <math.h> in lieu of real functions. |
| #undef div |
| #undef acos |
| #undef asin |
| #undef atan |
| #undef atan2 |
| #undef ceil |
| #undef cos |
| #undef cosh |
| #undef exp |
| #undef fabs |
| #undef floor |
| #undef fmod |
| #undef frexp |
| #undef ldexp |
| #undef log |
| #undef log10 |
| #undef modf |
| #undef pow |
| #undef sin |
| #undef sinh |
| #undef sqrt |
| #undef tan |
| #undef tanh |
| |
| extern "C++" |
| { |
| namespace std _GLIBCXX_VISIBILITY(default) |
| { |
| _GLIBCXX_BEGIN_NAMESPACE_VERSION |
| |
| using ::acos; |
| |
| #ifndef __CORRECT_ISO_CPP_MATH_H_PROTO |
| inline _GLIBCXX_CONSTEXPR float |
| acos(float __x) |
| { return __builtin_acosf(__x); } |
| |
| inline _GLIBCXX_CONSTEXPR long double |
| acos(long double __x) |
| { return __builtin_acosl(__x); } |
| #endif |
| |
| template<typename _Tp> |
| inline _GLIBCXX_CONSTEXPR |
| typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| double>::__type |
| acos(_Tp __x) |
| { return __builtin_acos(__x); } |
| |
| using ::asin; |
| |
| #ifndef __CORRECT_ISO_CPP_MATH_H_PROTO |
| inline _GLIBCXX_CONSTEXPR float |
| asin(float __x) |
| { return __builtin_asinf(__x); } |
| |
| inline _GLIBCXX_CONSTEXPR long double |
| asin(long double __x) |
| { return __builtin_asinl(__x); } |
| #endif |
| |
| template<typename _Tp> |
| inline _GLIBCXX_CONSTEXPR |
| typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| double>::__type |
| asin(_Tp __x) |
| { return __builtin_asin(__x); } |
| |
| using ::atan; |
| |
| #ifndef __CORRECT_ISO_CPP_MATH_H_PROTO |
| inline _GLIBCXX_CONSTEXPR float |
| atan(float __x) |
| { return __builtin_atanf(__x); } |
| |
| inline _GLIBCXX_CONSTEXPR long double |
| atan(long double __x) |
| { return __builtin_atanl(__x); } |
| #endif |
| |
| template<typename _Tp> |
| inline _GLIBCXX_CONSTEXPR |
| typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| double>::__type |
| atan(_Tp __x) |
| { return __builtin_atan(__x); } |
| |
| using ::atan2; |
| |
| #ifndef __CORRECT_ISO_CPP_MATH_H_PROTO |
| inline _GLIBCXX_CONSTEXPR float |
| atan2(float __y, float __x) |
| { return __builtin_atan2f(__y, __x); } |
| |
| inline _GLIBCXX_CONSTEXPR long double |
| atan2(long double __y, long double __x) |
| { return __builtin_atan2l(__y, __x); } |
| #endif |
| |
| template<typename _Tp, typename _Up> |
| inline _GLIBCXX_CONSTEXPR |
| typename __gnu_cxx::__promote_2<_Tp, _Up>::__type |
| atan2(_Tp __y, _Up __x) |
| { |
| typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type; |
| return atan2(__type(__y), __type(__x)); |
| } |
| |
| using ::ceil; |
| |
| #ifndef __CORRECT_ISO_CPP_MATH_H_PROTO |
| inline _GLIBCXX_CONSTEXPR float |
| ceil(float __x) |
| { return __builtin_ceilf(__x); } |
| |
| inline _GLIBCXX_CONSTEXPR long double |
| ceil(long double __x) |
| { return __builtin_ceill(__x); } |
| #endif |
| |
| template<typename _Tp> |
| inline _GLIBCXX_CONSTEXPR |
| typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| double>::__type |
| ceil(_Tp __x) |
| { return __builtin_ceil(__x); } |
| |
| using ::cos; |
| |
| #ifndef __CORRECT_ISO_CPP_MATH_H_PROTO |
| inline _GLIBCXX_CONSTEXPR float |
| cos(float __x) |
| { return __builtin_cosf(__x); } |
| |
| inline _GLIBCXX_CONSTEXPR long double |
| cos(long double __x) |
| { return __builtin_cosl(__x); } |
| #endif |
| |
| template<typename _Tp> |
| inline _GLIBCXX_CONSTEXPR |
| typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| double>::__type |
| cos(_Tp __x) |
| { return __builtin_cos(__x); } |
| |
| using ::cosh; |
| |
| #ifndef __CORRECT_ISO_CPP_MATH_H_PROTO |
| inline _GLIBCXX_CONSTEXPR float |
| cosh(float __x) |
| { return __builtin_coshf(__x); } |
| |
| inline _GLIBCXX_CONSTEXPR long double |
| cosh(long double __x) |
| { return __builtin_coshl(__x); } |
| #endif |
| |
| template<typename _Tp> |
| inline _GLIBCXX_CONSTEXPR |
| typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| double>::__type |
| cosh(_Tp __x) |
| { return __builtin_cosh(__x); } |
| |
| using ::exp; |
| |
| #ifndef __CORRECT_ISO_CPP_MATH_H_PROTO |
| inline _GLIBCXX_CONSTEXPR float |
| exp(float __x) |
| { return __builtin_expf(__x); } |
| |
| inline _GLIBCXX_CONSTEXPR long double |
| exp(long double __x) |
| { return __builtin_expl(__x); } |
| #endif |
| |
| template<typename _Tp> |
| inline _GLIBCXX_CONSTEXPR |
| typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| double>::__type |
| exp(_Tp __x) |
| { return __builtin_exp(__x); } |
| |
| using ::fabs; |
| |
| #ifndef __CORRECT_ISO_CPP_MATH_H_PROTO |
| inline _GLIBCXX_CONSTEXPR float |
| fabs(float __x) |
| { return __builtin_fabsf(__x); } |
| |
| inline _GLIBCXX_CONSTEXPR long double |
| fabs(long double __x) |
| { return __builtin_fabsl(__x); } |
| #endif |
| |
| template<typename _Tp> |
| inline _GLIBCXX_CONSTEXPR |
| typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| double>::__type |
| fabs(_Tp __x) |
| { return __builtin_fabs(__x); } |
| |
| using ::floor; |
| |
| #ifndef __CORRECT_ISO_CPP_MATH_H_PROTO |
| inline _GLIBCXX_CONSTEXPR float |
| floor(float __x) |
| { return __builtin_floorf(__x); } |
| |
| inline _GLIBCXX_CONSTEXPR long double |
| floor(long double __x) |
| { return __builtin_floorl(__x); } |
| #endif |
| |
| template<typename _Tp> |
| inline _GLIBCXX_CONSTEXPR |
| typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| double>::__type |
| floor(_Tp __x) |
| { return __builtin_floor(__x); } |
| |
| using ::fmod; |
| |
| #ifndef __CORRECT_ISO_CPP_MATH_H_PROTO |
| inline _GLIBCXX_CONSTEXPR float |
| fmod(float __x, float __y) |
| { return __builtin_fmodf(__x, __y); } |
| |
| inline _GLIBCXX_CONSTEXPR long double |
| fmod(long double __x, long double __y) |
| { return __builtin_fmodl(__x, __y); } |
| #endif |
| |
| template<typename _Tp, typename _Up> |
| inline _GLIBCXX_CONSTEXPR |
| typename __gnu_cxx::__promote_2<_Tp, _Up>::__type |
| fmod(_Tp __x, _Up __y) |
| { |
| typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type; |
| return fmod(__type(__x), __type(__y)); |
| } |
| |
| using ::frexp; |
| |
| #ifndef __CORRECT_ISO_CPP_MATH_H_PROTO |
| inline float |
| frexp(float __x, int* __exp) |
| { return __builtin_frexpf(__x, __exp); } |
| |
| inline long double |
| frexp(long double __x, int* __exp) |
| { return __builtin_frexpl(__x, __exp); } |
| #endif |
| |
| template<typename _Tp> |
| inline _GLIBCXX_CONSTEXPR |
| typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| double>::__type |
| frexp(_Tp __x, int* __exp) |
| { return __builtin_frexp(__x, __exp); } |
| |
| using ::ldexp; |
| |
| #ifndef __CORRECT_ISO_CPP_MATH_H_PROTO |
| inline _GLIBCXX_CONSTEXPR float |
| ldexp(float __x, int __exp) |
| { return __builtin_ldexpf(__x, __exp); } |
| |
| inline _GLIBCXX_CONSTEXPR long double |
| ldexp(long double __x, int __exp) |
| { return __builtin_ldexpl(__x, __exp); } |
| #endif |
| |
| template<typename _Tp> |
| inline _GLIBCXX_CONSTEXPR |
| typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| double>::__type |
| ldexp(_Tp __x, int __exp) |
| { return __builtin_ldexp(__x, __exp); } |
| |
| using ::log; |
| |
| #ifndef __CORRECT_ISO_CPP_MATH_H_PROTO |
| inline _GLIBCXX_CONSTEXPR float |
| log(float __x) |
| { return __builtin_logf(__x); } |
| |
| inline _GLIBCXX_CONSTEXPR long double |
| log(long double __x) |
| { return __builtin_logl(__x); } |
| #endif |
| |
| template<typename _Tp> |
| inline _GLIBCXX_CONSTEXPR |
| typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| double>::__type |
| log(_Tp __x) |
| { return __builtin_log(__x); } |
| |
| using ::log10; |
| |
| #ifndef __CORRECT_ISO_CPP_MATH_H_PROTO |
| inline _GLIBCXX_CONSTEXPR float |
| log10(float __x) |
| { return __builtin_log10f(__x); } |
| |
| inline _GLIBCXX_CONSTEXPR long double |
| log10(long double __x) |
| { return __builtin_log10l(__x); } |
| #endif |
| |
| template<typename _Tp> |
| inline _GLIBCXX_CONSTEXPR |
| typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| double>::__type |
| log10(_Tp __x) |
| { return __builtin_log10(__x); } |
| |
| using ::modf; |
| |
| #ifndef __CORRECT_ISO_CPP_MATH_H_PROTO |
| inline float |
| modf(float __x, float* __iptr) |
| { return __builtin_modff(__x, __iptr); } |
| |
| inline long double |
| modf(long double __x, long double* __iptr) |
| { return __builtin_modfl(__x, __iptr); } |
| #endif |
| |
| using ::pow; |
| |
| #ifndef __CORRECT_ISO_CPP_MATH_H_PROTO |
| inline _GLIBCXX_CONSTEXPR float |
| pow(float __x, float __y) |
| { return __builtin_powf(__x, __y); } |
| |
| inline _GLIBCXX_CONSTEXPR long double |
| pow(long double __x, long double __y) |
| { return __builtin_powl(__x, __y); } |
| |
| #if __cplusplus < 201103L |
| // _GLIBCXX_RESOLVE_LIB_DEFECTS |
| // DR 550. What should the return type of pow(float,int) be? |
| inline double |
| pow(double __x, int __i) |
| { return __builtin_powi(__x, __i); } |
| |
| inline float |
| pow(float __x, int __n) |
| { return __builtin_powif(__x, __n); } |
| |
| inline long double |
| pow(long double __x, int __n) |
| { return __builtin_powil(__x, __n); } |
| #endif |
| #endif |
| |
| template<typename _Tp, typename _Up> |
| inline _GLIBCXX_CONSTEXPR |
| typename __gnu_cxx::__promote_2<_Tp, _Up>::__type |
| pow(_Tp __x, _Up __y) |
| { |
| typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type; |
| return pow(__type(__x), __type(__y)); |
| } |
| |
| using ::sin; |
| |
| #ifndef __CORRECT_ISO_CPP_MATH_H_PROTO |
| inline _GLIBCXX_CONSTEXPR float |
| sin(float __x) |
| { return __builtin_sinf(__x); } |
| |
| inline _GLIBCXX_CONSTEXPR long double |
| sin(long double __x) |
| { return __builtin_sinl(__x); } |
| #endif |
| |
| template<typename _Tp> |
| inline _GLIBCXX_CONSTEXPR |
| typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| double>::__type |
| sin(_Tp __x) |
| { return __builtin_sin(__x); } |
| |
| using ::sinh; |
| |
| #ifndef __CORRECT_ISO_CPP_MATH_H_PROTO |
| inline _GLIBCXX_CONSTEXPR float |
| sinh(float __x) |
| { return __builtin_sinhf(__x); } |
| |
| inline _GLIBCXX_CONSTEXPR long double |
| sinh(long double __x) |
| { return __builtin_sinhl(__x); } |
| #endif |
| |
| template<typename _Tp> |
| inline _GLIBCXX_CONSTEXPR |
| typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| double>::__type |
| sinh(_Tp __x) |
| { return __builtin_sinh(__x); } |
| |
| using ::sqrt; |
| |
| #ifndef __CORRECT_ISO_CPP_MATH_H_PROTO |
| inline _GLIBCXX_CONSTEXPR float |
| sqrt(float __x) |
| { return __builtin_sqrtf(__x); } |
| |
| inline _GLIBCXX_CONSTEXPR long double |
| sqrt(long double __x) |
| { return __builtin_sqrtl(__x); } |
| #endif |
| |
| template<typename _Tp> |
| inline _GLIBCXX_CONSTEXPR |
| typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| double>::__type |
| sqrt(_Tp __x) |
| { return __builtin_sqrt(__x); } |
| |
| using ::tan; |
| |
| #ifndef __CORRECT_ISO_CPP_MATH_H_PROTO |
| inline _GLIBCXX_CONSTEXPR float |
| tan(float __x) |
| { return __builtin_tanf(__x); } |
| |
| inline _GLIBCXX_CONSTEXPR long double |
| tan(long double __x) |
| { return __builtin_tanl(__x); } |
| #endif |
| |
| template<typename _Tp> |
| inline _GLIBCXX_CONSTEXPR |
| typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| double>::__type |
| tan(_Tp __x) |
| { return __builtin_tan(__x); } |
| |
| using ::tanh; |
| |
| #ifndef __CORRECT_ISO_CPP_MATH_H_PROTO |
| inline _GLIBCXX_CONSTEXPR float |
| tanh(float __x) |
| { return __builtin_tanhf(__x); } |
| |
| inline _GLIBCXX_CONSTEXPR long double |
| tanh(long double __x) |
| { return __builtin_tanhl(__x); } |
| #endif |
| |
| template<typename _Tp> |
| inline _GLIBCXX_CONSTEXPR |
| typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| double>::__type |
| tanh(_Tp __x) |
| { return __builtin_tanh(__x); } |
| |
| #if defined(__STDCPP_FLOAT16_T__) && defined(_GLIBCXX_FLOAT_IS_IEEE_BINARY32) |
| constexpr _Float16 |
| acos(_Float16 __x) |
| { return _Float16(__builtin_acosf(__x)); } |
| |
| constexpr _Float16 |
| asin(_Float16 __x) |
| { return _Float16(__builtin_asinf(__x)); } |
| |
| constexpr _Float16 |
| atan(_Float16 __x) |
| { return _Float16(__builtin_atanf(__x)); } |
| |
| constexpr _Float16 |
| atan2(_Float16 __y, _Float16 __x) |
| { return _Float16(__builtin_atan2f(__y, __x)); } |
| |
| constexpr _Float16 |
| ceil(_Float16 __x) |
| { return _Float16(__builtin_ceilf(__x)); } |
| |
| constexpr _Float16 |
| cos(_Float16 __x) |
| { return _Float16(__builtin_cosf(__x)); } |
| |
| constexpr _Float16 |
| cosh(_Float16 __x) |
| { return _Float16(__builtin_coshf(__x)); } |
| |
| constexpr _Float16 |
| exp(_Float16 __x) |
| { return _Float16(__builtin_expf(__x)); } |
| |
| constexpr _Float16 |
| fabs(_Float16 __x) |
| { return _Float16(__builtin_fabsf(__x)); } |
| |
| constexpr _Float16 |
| floor(_Float16 __x) |
| { return _Float16(__builtin_floorf(__x)); } |
| |
| constexpr _Float16 |
| fmod(_Float16 __x, _Float16 __y) |
| { return _Float16(__builtin_fmodf(__x, __y)); } |
| |
| inline _Float16 |
| frexp(_Float16 __x, int* __exp) |
| { return _Float16(__builtin_frexpf(__x, __exp)); } |
| |
| constexpr _Float16 |
| ldexp(_Float16 __x, int __exp) |
| { return _Float16(__builtin_ldexpf(__x, __exp)); } |
| |
| constexpr _Float16 |
| log(_Float16 __x) |
| { return _Float16(__builtin_logf(__x)); } |
| |
| constexpr _Float16 |
| log10(_Float16 __x) |
| { return _Float16(__builtin_log10f(__x)); } |
| |
| inline _Float16 |
| modf(_Float16 __x, _Float16* __iptr) |
| { |
| float __i, __ret = __builtin_modff(__x, &__i); |
| *__iptr = _Float16(__i); |
| return _Float16(__ret); |
| } |
| |
| constexpr _Float16 |
| pow(_Float16 __x, _Float16 __y) |
| { return _Float16(__builtin_powf(__x, __y)); } |
| |
| constexpr _Float16 |
| sin(_Float16 __x) |
| { return _Float16(__builtin_sinf(__x)); } |
| |
| constexpr _Float16 |
| sinh(_Float16 __x) |
| { return _Float16(__builtin_sinhf(__x)); } |
| |
| constexpr _Float16 |
| sqrt(_Float16 __x) |
| { return _Float16(__builtin_sqrtf(__x)); } |
| |
| constexpr _Float16 |
| tan(_Float16 __x) |
| { return _Float16(__builtin_tanf(__x)); } |
| |
| constexpr _Float16 |
| tanh(_Float16 __x) |
| { return _Float16(__builtin_tanhf(__x)); } |
| #endif |
| |
| #if defined(__STDCPP_FLOAT32_T__) && defined(_GLIBCXX_FLOAT_IS_IEEE_BINARY32) |
| constexpr _Float32 |
| acos(_Float32 __x) |
| { return __builtin_acosf(__x); } |
| |
| constexpr _Float32 |
| asin(_Float32 __x) |
| { return __builtin_asinf(__x); } |
| |
| constexpr _Float32 |
| atan(_Float32 __x) |
| { return __builtin_atanf(__x); } |
| |
| constexpr _Float32 |
| atan2(_Float32 __y, _Float32 __x) |
| { return __builtin_atan2f(__y, __x); } |
| |
| constexpr _Float32 |
| ceil(_Float32 __x) |
| { return __builtin_ceilf(__x); } |
| |
| constexpr _Float32 |
| cos(_Float32 __x) |
| { return __builtin_cosf(__x); } |
| |
| constexpr _Float32 |
| cosh(_Float32 __x) |
| { return __builtin_coshf(__x); } |
| |
| constexpr _Float32 |
| exp(_Float32 __x) |
| { return __builtin_expf(__x); } |
| |
| constexpr _Float32 |
| fabs(_Float32 __x) |
| { return __builtin_fabsf(__x); } |
| |
| constexpr _Float32 |
| floor(_Float32 __x) |
| { return __builtin_floorf(__x); } |
| |
| constexpr _Float32 |
| fmod(_Float32 __x, _Float32 __y) |
| { return __builtin_fmodf(__x, __y); } |
| |
| inline _Float32 |
| frexp(_Float32 __x, int* __exp) |
| { return __builtin_frexpf(__x, __exp); } |
| |
| constexpr _Float32 |
| ldexp(_Float32 __x, int __exp) |
| { return __builtin_ldexpf(__x, __exp); } |
| |
| constexpr _Float32 |
| log(_Float32 __x) |
| { return __builtin_logf(__x); } |
| |
| constexpr _Float32 |
| log10(_Float32 __x) |
| { return __builtin_log10f(__x); } |
| |
| inline _Float32 |
| modf(_Float32 __x, _Float32* __iptr) |
| { |
| float __i, __ret = __builtin_modff(__x, &__i); |
| *__iptr = __i; |
| return __ret; |
| } |
| |
| constexpr _Float32 |
| pow(_Float32 __x, _Float32 __y) |
| { return __builtin_powf(__x, __y); } |
| |
| constexpr _Float32 |
| sin(_Float32 __x) |
| { return __builtin_sinf(__x); } |
| |
| constexpr _Float32 |
| sinh(_Float32 __x) |
| { return __builtin_sinhf(__x); } |
| |
| constexpr _Float32 |
| sqrt(_Float32 __x) |
| { return __builtin_sqrtf(__x); } |
| |
| constexpr _Float32 |
| tan(_Float32 __x) |
| { return __builtin_tanf(__x); } |
| |
| constexpr _Float32 |
| tanh(_Float32 __x) |
| { return __builtin_tanhf(__x); } |
| #endif |
| |
| #if defined(__STDCPP_FLOAT64_T__) && defined(_GLIBCXX_DOUBLE_IS_IEEE_BINARY64) |
| constexpr _Float64 |
| acos(_Float64 __x) |
| { return __builtin_acos(__x); } |
| |
| constexpr _Float64 |
| asin(_Float64 __x) |
| { return __builtin_asin(__x); } |
| |
| constexpr _Float64 |
| atan(_Float64 __x) |
| { return __builtin_atan(__x); } |
| |
| constexpr _Float64 |
| atan2(_Float64 __y, _Float64 __x) |
| { return __builtin_atan2(__y, __x); } |
| |
| constexpr _Float64 |
| ceil(_Float64 __x) |
| { return __builtin_ceil(__x); } |
| |
| constexpr _Float64 |
| cos(_Float64 __x) |
| { return __builtin_cos(__x); } |
| |
| constexpr _Float64 |
| cosh(_Float64 __x) |
| { return __builtin_cosh(__x); } |
| |
| constexpr _Float64 |
| exp(_Float64 __x) |
| { return __builtin_exp(__x); } |
| |
| constexpr _Float64 |
| fabs(_Float64 __x) |
| { return __builtin_fabs(__x); } |
| |
| constexpr _Float64 |
| floor(_Float64 __x) |
| { return __builtin_floor(__x); } |
| |
| constexpr _Float64 |
| fmod(_Float64 __x, _Float64 __y) |
| { return __builtin_fmod(__x, __y); } |
| |
| inline _Float64 |
| frexp(_Float64 __x, int* __exp) |
| { return __builtin_frexp(__x, __exp); } |
| |
| constexpr _Float64 |
| ldexp(_Float64 __x, int __exp) |
| { return __builtin_ldexp(__x, __exp); } |
| |
| constexpr _Float64 |
| log(_Float64 __x) |
| { return __builtin_log(__x); } |
| |
| constexpr _Float64 |
| log10(_Float64 __x) |
| { return __builtin_log10(__x); } |
| |
| inline _Float64 |
| modf(_Float64 __x, _Float64* __iptr) |
| { |
| double __i, __ret = __builtin_modf(__x, &__i); |
| *__iptr = __i; |
| return __ret; |
| } |
| |
| constexpr _Float64 |
| pow(_Float64 __x, _Float64 __y) |
| { return __builtin_pow(__x, __y); } |
| |
| constexpr _Float64 |
| sin(_Float64 __x) |
| { return __builtin_sin(__x); } |
| |
| constexpr _Float64 |
| sinh(_Float64 __x) |
| { return __builtin_sinh(__x); } |
| |
| constexpr _Float64 |
| sqrt(_Float64 __x) |
| { return __builtin_sqrt(__x); } |
| |
| constexpr _Float64 |
| tan(_Float64 __x) |
| { return __builtin_tan(__x); } |
| |
| constexpr _Float64 |
| tanh(_Float64 __x) |
| { return __builtin_tanh(__x); } |
| #endif |
| |
| #if defined(__STDCPP_FLOAT128_T__) && defined(_GLIBCXX_LDOUBLE_IS_IEEE_BINARY128) |
| constexpr _Float128 |
| acos(_Float128 __x) |
| { return __builtin_acosl(__x); } |
| |
| constexpr _Float128 |
| asin(_Float128 __x) |
| { return __builtin_asinl(__x); } |
| |
| constexpr _Float128 |
| atan(_Float128 __x) |
| { return __builtin_atanl(__x); } |
| |
| constexpr _Float128 |
| atan2(_Float128 __y, _Float128 __x) |
| { return __builtin_atan2l(__y, __x); } |
| |
| constexpr _Float128 |
| ceil(_Float128 __x) |
| { return __builtin_ceill(__x); } |
| |
| constexpr _Float128 |
| cos(_Float128 __x) |
| { return __builtin_cosl(__x); } |
| |
| constexpr _Float128 |
| cosh(_Float128 __x) |
| { return __builtin_coshl(__x); } |
| |
| constexpr _Float128 |
| exp(_Float128 __x) |
| { return __builtin_expl(__x); } |
| |
| constexpr _Float128 |
| fabs(_Float128 __x) |
| { return __builtin_fabsl(__x); } |
| |
| constexpr _Float128 |
| floor(_Float128 __x) |
| { return __builtin_floorl(__x); } |
| |
| constexpr _Float128 |
| fmod(_Float128 __x, _Float128 __y) |
| { return __builtin_fmodl(__x, __y); } |
| |
| inline _Float128 |
| frexp(_Float128 __x, int* __exp) |
| { return __builtin_frexpl(__x, __exp); } |
| |
| constexpr _Float128 |
| ldexp(_Float128 __x, int __exp) |
| { return __builtin_ldexpl(__x, __exp); } |
| |
| constexpr _Float128 |
| log(_Float128 __x) |
| { return __builtin_logl(__x); } |
| |
| constexpr _Float128 |
| log10(_Float128 __x) |
| { return __builtin_log10l(__x); } |
| |
| inline _Float128 |
| modf(_Float128 __x, _Float128* __iptr) |
| { |
| long double __i, __ret = __builtin_modfl(__x, &__i); |
| *__iptr = __i; |
| return __ret; |
| } |
| |
| constexpr _Float128 |
| pow(_Float128 __x, _Float128 __y) |
| { return __builtin_powl(__x, __y); } |
| |
| constexpr _Float128 |
| sin(_Float128 __x) |
| { return __builtin_sinl(__x); } |
| |
| constexpr _Float128 |
| sinh(_Float128 __x) |
| { return __builtin_sinhl(__x); } |
| |
| constexpr _Float128 |
| sqrt(_Float128 __x) |
| { return __builtin_sqrtl(__x); } |
| |
| constexpr _Float128 |
| tan(_Float128 __x) |
| { return __builtin_tanl(__x); } |
| |
| constexpr _Float128 |
| tanh(_Float128 __x) |
| { return __builtin_tanhl(__x); } |
| #elif defined(__STDCPP_FLOAT128_T__) && defined(_GLIBCXX_HAVE_FLOAT128_MATH) |
| constexpr _Float128 |
| acos(_Float128 __x) |
| { return __builtin_acosf128(__x); } |
| |
| constexpr _Float128 |
| asin(_Float128 __x) |
| { return __builtin_asinf128(__x); } |
| |
| constexpr _Float128 |
| atan(_Float128 __x) |
| { return __builtin_atanf128(__x); } |
| |
| constexpr _Float128 |
| atan2(_Float128 __y, _Float128 __x) |
| { return __builtin_atan2f128(__y, __x); } |
| |
| constexpr _Float128 |
| ceil(_Float128 __x) |
| { return __builtin_ceilf128(__x); } |
| |
| constexpr _Float128 |
| cos(_Float128 __x) |
| { return __builtin_cosf128(__x); } |
| |
| constexpr _Float128 |
| cosh(_Float128 __x) |
| { return __builtin_coshf128(__x); } |
| |
| constexpr _Float128 |
| exp(_Float128 __x) |
| { return __builtin_expf128(__x); } |
| |
| constexpr _Float128 |
| fabs(_Float128 __x) |
| { return __builtin_fabsf128(__x); } |
| |
| constexpr _Float128 |
| floor(_Float128 __x) |
| { return __builtin_floorf128(__x); } |
| |
| constexpr _Float128 |
| fmod(_Float128 __x, _Float128 __y) |
| { return __builtin_fmodf128(__x, __y); } |
| |
| inline _Float128 |
| frexp(_Float128 __x, int* __exp) |
| { return __builtin_frexpf128(__x, __exp); } |
| |
| constexpr _Float128 |
| ldexp(_Float128 __x, int __exp) |
| { return __builtin_ldexpf128(__x, __exp); } |
| |
| constexpr _Float128 |
| log(_Float128 __x) |
| { return __builtin_logf128(__x); } |
| |
| constexpr _Float128 |
| log10(_Float128 __x) |
| { return __builtin_log10f128(__x); } |
| |
| inline _Float128 |
| modf(_Float128 __x, _Float128* __iptr) |
| { return __builtin_modff128(__x, __iptr); } |
| |
| constexpr _Float128 |
| pow(_Float128 __x, _Float128 __y) |
| { return __builtin_powf128(__x, __y); } |
| |
| constexpr _Float128 |
| sin(_Float128 __x) |
| { return __builtin_sinf128(__x); } |
| |
| constexpr _Float128 |
| sinh(_Float128 __x) |
| { return __builtin_sinhf128(__x); } |
| |
| constexpr _Float128 |
| sqrt(_Float128 __x) |
| { return __builtin_sqrtf128(__x); } |
| |
| constexpr _Float128 |
| tan(_Float128 __x) |
| { return __builtin_tanf128(__x); } |
| |
| constexpr _Float128 |
| tanh(_Float128 __x) |
| { return __builtin_tanhf128(__x); } |
| #endif |
| |
| #if defined(__STDCPP_BFLOAT16_T__) && defined(_GLIBCXX_FLOAT_IS_IEEE_BINARY32) |
| constexpr __gnu_cxx::__bfloat16_t |
| acos(__gnu_cxx::__bfloat16_t __x) |
| { return __gnu_cxx::__bfloat16_t(__builtin_acosf(__x)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| asin(__gnu_cxx::__bfloat16_t __x) |
| { return __gnu_cxx::__bfloat16_t(__builtin_asinf(__x)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| atan(__gnu_cxx::__bfloat16_t __x) |
| { return __gnu_cxx::__bfloat16_t(__builtin_atanf(__x)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| atan2(__gnu_cxx::__bfloat16_t __y, __gnu_cxx::__bfloat16_t __x) |
| { return __gnu_cxx::__bfloat16_t(__builtin_atan2f(__y, __x)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| ceil(__gnu_cxx::__bfloat16_t __x) |
| { return __gnu_cxx::__bfloat16_t(__builtin_ceilf(__x)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| cos(__gnu_cxx::__bfloat16_t __x) |
| { return __gnu_cxx::__bfloat16_t(__builtin_cosf(__x)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| cosh(__gnu_cxx::__bfloat16_t __x) |
| { return __gnu_cxx::__bfloat16_t(__builtin_coshf(__x)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| exp(__gnu_cxx::__bfloat16_t __x) |
| { return __gnu_cxx::__bfloat16_t(__builtin_expf(__x)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| fabs(__gnu_cxx::__bfloat16_t __x) |
| { return __gnu_cxx::__bfloat16_t(__builtin_fabsf(__x)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| floor(__gnu_cxx::__bfloat16_t __x) |
| { return __gnu_cxx::__bfloat16_t(__builtin_floorf(__x)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| fmod(__gnu_cxx::__bfloat16_t __x, __gnu_cxx::__bfloat16_t __y) |
| { return __gnu_cxx::__bfloat16_t(__builtin_fmodf(__x, __y)); } |
| |
| inline __gnu_cxx::__bfloat16_t |
| frexp(__gnu_cxx::__bfloat16_t __x, int* __exp) |
| { return __gnu_cxx::__bfloat16_t(__builtin_frexpf(__x, __exp)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| ldexp(__gnu_cxx::__bfloat16_t __x, int __exp) |
| { return __gnu_cxx::__bfloat16_t(__builtin_ldexpf(__x, __exp)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| log(__gnu_cxx::__bfloat16_t __x) |
| { return __gnu_cxx::__bfloat16_t(__builtin_logf(__x)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| log10(__gnu_cxx::__bfloat16_t __x) |
| { return __gnu_cxx::__bfloat16_t(__builtin_log10f(__x)); } |
| |
| inline __gnu_cxx::__bfloat16_t |
| modf(__gnu_cxx::__bfloat16_t __x, __gnu_cxx::__bfloat16_t* __iptr) |
| { |
| float __i, __ret = __builtin_modff(__x, &__i); |
| *__iptr = __gnu_cxx::__bfloat16_t(__i); |
| return __gnu_cxx::__bfloat16_t(__ret); |
| } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| pow(__gnu_cxx::__bfloat16_t __x, __gnu_cxx::__bfloat16_t __y) |
| { return __gnu_cxx::__bfloat16_t(__builtin_powf(__x, __y)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| sin(__gnu_cxx::__bfloat16_t __x) |
| { return __gnu_cxx::__bfloat16_t(__builtin_sinf(__x)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| sinh(__gnu_cxx::__bfloat16_t __x) |
| { return __gnu_cxx::__bfloat16_t(__builtin_sinhf(__x)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| sqrt(__gnu_cxx::__bfloat16_t __x) |
| { return __gnu_cxx::__bfloat16_t(__builtin_sqrtf(__x)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| tan(__gnu_cxx::__bfloat16_t __x) |
| { return __gnu_cxx::__bfloat16_t(__builtin_tanf(__x)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| tanh(__gnu_cxx::__bfloat16_t __x) |
| { return __gnu_cxx::__bfloat16_t(__builtin_tanhf(__x)); } |
| #endif |
| |
| #if _GLIBCXX_USE_C99_MATH |
| #if !_GLIBCXX_USE_C99_FP_MACROS_DYNAMIC |
| |
| // These are possible macros imported from C99-land. |
| #undef fpclassify |
| #undef isfinite |
| #undef isinf |
| #undef isnan |
| #undef isnormal |
| #undef signbit |
| #undef isgreater |
| #undef isgreaterequal |
| #undef isless |
| #undef islessequal |
| #undef islessgreater |
| #undef isunordered |
| |
| #if __cplusplus >= 201103L |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr int |
| fpclassify(float __x) |
| { return __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL, |
| FP_SUBNORMAL, FP_ZERO, __x); } |
| |
| constexpr int |
| fpclassify(double __x) |
| { return __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL, |
| FP_SUBNORMAL, FP_ZERO, __x); } |
| |
| constexpr int |
| fpclassify(long double __x) |
| { return __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL, |
| FP_SUBNORMAL, FP_ZERO, __x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp> |
| constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| int>::__type |
| fpclassify(_Tp __x) |
| { return __x != 0 ? FP_NORMAL : FP_ZERO; } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr bool |
| isfinite(float __x) |
| { return __builtin_isfinite(__x); } |
| |
| constexpr bool |
| isfinite(double __x) |
| { return __builtin_isfinite(__x); } |
| |
| constexpr bool |
| isfinite(long double __x) |
| { return __builtin_isfinite(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp> |
| constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| bool>::__type |
| isfinite(_Tp __x) |
| { return true; } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr bool |
| isinf(float __x) |
| { return __builtin_isinf(__x); } |
| |
| #if _GLIBCXX_HAVE_OBSOLETE_ISINF \ |
| && !_GLIBCXX_NO_OBSOLETE_ISINF_ISNAN_DYNAMIC |
| using ::isinf; |
| #else |
| constexpr bool |
| isinf(double __x) |
| { return __builtin_isinf(__x); } |
| #endif |
| |
| constexpr bool |
| isinf(long double __x) |
| { return __builtin_isinf(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp> |
| constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| bool>::__type |
| isinf(_Tp __x) |
| { return false; } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr bool |
| isnan(float __x) |
| { return __builtin_isnan(__x); } |
| |
| #if _GLIBCXX_HAVE_OBSOLETE_ISNAN \ |
| && !_GLIBCXX_NO_OBSOLETE_ISINF_ISNAN_DYNAMIC |
| using ::isnan; |
| #else |
| constexpr bool |
| isnan(double __x) |
| { return __builtin_isnan(__x); } |
| #endif |
| |
| constexpr bool |
| isnan(long double __x) |
| { return __builtin_isnan(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp> |
| constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| bool>::__type |
| isnan(_Tp __x) |
| { return false; } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr bool |
| isnormal(float __x) |
| { return __builtin_isnormal(__x); } |
| |
| constexpr bool |
| isnormal(double __x) |
| { return __builtin_isnormal(__x); } |
| |
| constexpr bool |
| isnormal(long double __x) |
| { return __builtin_isnormal(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp> |
| constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| bool>::__type |
| isnormal(_Tp __x) |
| { return __x != 0 ? true : false; } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| // Note: middle-end/36757 is fixed, __builtin_signbit is type-generic. |
| constexpr bool |
| signbit(float __x) |
| { return __builtin_signbit(__x); } |
| |
| constexpr bool |
| signbit(double __x) |
| { return __builtin_signbit(__x); } |
| |
| constexpr bool |
| signbit(long double __x) |
| { return __builtin_signbit(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp> |
| constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| bool>::__type |
| signbit(_Tp __x) |
| { return __x < 0 ? true : false; } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr bool |
| isgreater(float __x, float __y) |
| { return __builtin_isgreater(__x, __y); } |
| |
| constexpr bool |
| isgreater(double __x, double __y) |
| { return __builtin_isgreater(__x, __y); } |
| |
| constexpr bool |
| isgreater(long double __x, long double __y) |
| { return __builtin_isgreater(__x, __y); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp, typename _Up> |
| constexpr typename |
| __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value |
| && __is_arithmetic<_Up>::__value), bool>::__type |
| isgreater(_Tp __x, _Up __y) |
| { |
| typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type; |
| return __builtin_isgreater(__type(__x), __type(__y)); |
| } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr bool |
| isgreaterequal(float __x, float __y) |
| { return __builtin_isgreaterequal(__x, __y); } |
| |
| constexpr bool |
| isgreaterequal(double __x, double __y) |
| { return __builtin_isgreaterequal(__x, __y); } |
| |
| constexpr bool |
| isgreaterequal(long double __x, long double __y) |
| { return __builtin_isgreaterequal(__x, __y); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp, typename _Up> |
| constexpr typename |
| __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value |
| && __is_arithmetic<_Up>::__value), bool>::__type |
| isgreaterequal(_Tp __x, _Up __y) |
| { |
| typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type; |
| return __builtin_isgreaterequal(__type(__x), __type(__y)); |
| } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr bool |
| isless(float __x, float __y) |
| { return __builtin_isless(__x, __y); } |
| |
| constexpr bool |
| isless(double __x, double __y) |
| { return __builtin_isless(__x, __y); } |
| |
| constexpr bool |
| isless(long double __x, long double __y) |
| { return __builtin_isless(__x, __y); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp, typename _Up> |
| constexpr typename |
| __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value |
| && __is_arithmetic<_Up>::__value), bool>::__type |
| isless(_Tp __x, _Up __y) |
| { |
| typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type; |
| return __builtin_isless(__type(__x), __type(__y)); |
| } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr bool |
| islessequal(float __x, float __y) |
| { return __builtin_islessequal(__x, __y); } |
| |
| constexpr bool |
| islessequal(double __x, double __y) |
| { return __builtin_islessequal(__x, __y); } |
| |
| constexpr bool |
| islessequal(long double __x, long double __y) |
| { return __builtin_islessequal(__x, __y); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp, typename _Up> |
| constexpr typename |
| __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value |
| && __is_arithmetic<_Up>::__value), bool>::__type |
| islessequal(_Tp __x, _Up __y) |
| { |
| typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type; |
| return __builtin_islessequal(__type(__x), __type(__y)); |
| } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr bool |
| islessgreater(float __x, float __y) |
| { return __builtin_islessgreater(__x, __y); } |
| |
| constexpr bool |
| islessgreater(double __x, double __y) |
| { return __builtin_islessgreater(__x, __y); } |
| |
| constexpr bool |
| islessgreater(long double __x, long double __y) |
| { return __builtin_islessgreater(__x, __y); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp, typename _Up> |
| constexpr typename |
| __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value |
| && __is_arithmetic<_Up>::__value), bool>::__type |
| islessgreater(_Tp __x, _Up __y) |
| { |
| typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type; |
| return __builtin_islessgreater(__type(__x), __type(__y)); |
| } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr bool |
| isunordered(float __x, float __y) |
| { return __builtin_isunordered(__x, __y); } |
| |
| constexpr bool |
| isunordered(double __x, double __y) |
| { return __builtin_isunordered(__x, __y); } |
| |
| constexpr bool |
| isunordered(long double __x, long double __y) |
| { return __builtin_isunordered(__x, __y); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp, typename _Up> |
| constexpr typename |
| __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value |
| && __is_arithmetic<_Up>::__value), bool>::__type |
| isunordered(_Tp __x, _Up __y) |
| { |
| typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type; |
| return __builtin_isunordered(__type(__x), __type(__y)); |
| } |
| #endif |
| |
| #else |
| |
| template<typename _Tp> |
| inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value, |
| int>::__type |
| fpclassify(_Tp __f) |
| { |
| typedef typename __gnu_cxx::__promote<_Tp>::__type __type; |
| return __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL, |
| FP_SUBNORMAL, FP_ZERO, __type(__f)); |
| } |
| |
| template<typename _Tp> |
| inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value, |
| int>::__type |
| isfinite(_Tp __f) |
| { |
| typedef typename __gnu_cxx::__promote<_Tp>::__type __type; |
| return __builtin_isfinite(__type(__f)); |
| } |
| |
| template<typename _Tp> |
| inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value, |
| int>::__type |
| isinf(_Tp __f) |
| { |
| typedef typename __gnu_cxx::__promote<_Tp>::__type __type; |
| return __builtin_isinf(__type(__f)); |
| } |
| |
| template<typename _Tp> |
| inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value, |
| int>::__type |
| isnan(_Tp __f) |
| { |
| typedef typename __gnu_cxx::__promote<_Tp>::__type __type; |
| return __builtin_isnan(__type(__f)); |
| } |
| |
| template<typename _Tp> |
| inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value, |
| int>::__type |
| isnormal(_Tp __f) |
| { |
| typedef typename __gnu_cxx::__promote<_Tp>::__type __type; |
| return __builtin_isnormal(__type(__f)); |
| } |
| |
| template<typename _Tp> |
| inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value, |
| int>::__type |
| signbit(_Tp __f) |
| { |
| typedef typename __gnu_cxx::__promote<_Tp>::__type __type; |
| return __builtin_signbit(__type(__f)); |
| } |
| |
| template<typename _Tp> |
| inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value, |
| int>::__type |
| isgreater(_Tp __f1, _Tp __f2) |
| { |
| typedef typename __gnu_cxx::__promote<_Tp>::__type __type; |
| return __builtin_isgreater(__type(__f1), __type(__f2)); |
| } |
| |
| template<typename _Tp> |
| inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value, |
| int>::__type |
| isgreaterequal(_Tp __f1, _Tp __f2) |
| { |
| typedef typename __gnu_cxx::__promote<_Tp>::__type __type; |
| return __builtin_isgreaterequal(__type(__f1), __type(__f2)); |
| } |
| |
| template<typename _Tp> |
| inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value, |
| int>::__type |
| isless(_Tp __f1, _Tp __f2) |
| { |
| typedef typename __gnu_cxx::__promote<_Tp>::__type __type; |
| return __builtin_isless(__type(__f1), __type(__f2)); |
| } |
| |
| template<typename _Tp> |
| inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value, |
| int>::__type |
| islessequal(_Tp __f1, _Tp __f2) |
| { |
| typedef typename __gnu_cxx::__promote<_Tp>::__type __type; |
| return __builtin_islessequal(__type(__f1), __type(__f2)); |
| } |
| |
| template<typename _Tp> |
| inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value, |
| int>::__type |
| islessgreater(_Tp __f1, _Tp __f2) |
| { |
| typedef typename __gnu_cxx::__promote<_Tp>::__type __type; |
| return __builtin_islessgreater(__type(__f1), __type(__f2)); |
| } |
| |
| template<typename _Tp> |
| inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value, |
| int>::__type |
| isunordered(_Tp __f1, _Tp __f2) |
| { |
| typedef typename __gnu_cxx::__promote<_Tp>::__type __type; |
| return __builtin_isunordered(__type(__f1), __type(__f2)); |
| } |
| |
| #endif // C++11 |
| |
| #ifdef __STDCPP_FLOAT16_T__ |
| constexpr int |
| fpclassify(_Float16 __x) |
| { return __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL, |
| FP_SUBNORMAL, FP_ZERO, __x); } |
| |
| constexpr bool |
| isfinite(_Float16 __x) |
| { return __builtin_isfinite(__x); } |
| |
| constexpr bool |
| isinf(_Float16 __x) |
| { return __builtin_isinf(__x); } |
| |
| constexpr bool |
| isnan(_Float16 __x) |
| { return __builtin_isnan(__x); } |
| |
| constexpr bool |
| isnormal(_Float16 __x) |
| { return __builtin_isnormal(__x); } |
| |
| constexpr bool |
| signbit(_Float16 __x) |
| { return __builtin_signbit(__x); } |
| |
| constexpr bool |
| isgreater(_Float16 __x, _Float16 __y) |
| { return __builtin_isgreater(__x, __y); } |
| |
| constexpr bool |
| isgreaterequal(_Float16 __x, _Float16 __y) |
| { return __builtin_isgreaterequal(__x, __y); } |
| |
| constexpr bool |
| isless(_Float16 __x, _Float16 __y) |
| { return __builtin_isless(__x, __y); } |
| |
| constexpr bool |
| islessequal(_Float16 __x, _Float16 __y) |
| { return __builtin_islessequal(__x, __y); } |
| |
| constexpr bool |
| islessgreater(_Float16 __x, _Float16 __y) |
| { return __builtin_islessgreater(__x, __y); } |
| |
| constexpr bool |
| isunordered(_Float16 __x, _Float16 __y) |
| { return __builtin_isunordered(__x, __y); } |
| #endif |
| |
| #ifdef __STDCPP_FLOAT32_T__ |
| constexpr int |
| fpclassify(_Float32 __x) |
| { return __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL, |
| FP_SUBNORMAL, FP_ZERO, __x); } |
| |
| constexpr bool |
| isfinite(_Float32 __x) |
| { return __builtin_isfinite(__x); } |
| |
| constexpr bool |
| isinf(_Float32 __x) |
| { return __builtin_isinf(__x); } |
| |
| constexpr bool |
| isnan(_Float32 __x) |
| { return __builtin_isnan(__x); } |
| |
| constexpr bool |
| isnormal(_Float32 __x) |
| { return __builtin_isnormal(__x); } |
| |
| constexpr bool |
| signbit(_Float32 __x) |
| { return __builtin_signbit(__x); } |
| |
| constexpr bool |
| isgreater(_Float32 __x, _Float32 __y) |
| { return __builtin_isgreater(__x, __y); } |
| |
| constexpr bool |
| isgreaterequal(_Float32 __x, _Float32 __y) |
| { return __builtin_isgreaterequal(__x, __y); } |
| |
| constexpr bool |
| isless(_Float32 __x, _Float32 __y) |
| { return __builtin_isless(__x, __y); } |
| |
| constexpr bool |
| islessequal(_Float32 __x, _Float32 __y) |
| { return __builtin_islessequal(__x, __y); } |
| |
| constexpr bool |
| islessgreater(_Float32 __x, _Float32 __y) |
| { return __builtin_islessgreater(__x, __y); } |
| |
| constexpr bool |
| isunordered(_Float32 __x, _Float32 __y) |
| { return __builtin_isunordered(__x, __y); } |
| #endif |
| |
| #ifdef __STDCPP_FLOAT64_T__ |
| constexpr int |
| fpclassify(_Float64 __x) |
| { return __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL, |
| FP_SUBNORMAL, FP_ZERO, __x); } |
| |
| constexpr bool |
| isfinite(_Float64 __x) |
| { return __builtin_isfinite(__x); } |
| |
| constexpr bool |
| isinf(_Float64 __x) |
| { return __builtin_isinf(__x); } |
| |
| constexpr bool |
| isnan(_Float64 __x) |
| { return __builtin_isnan(__x); } |
| |
| constexpr bool |
| isnormal(_Float64 __x) |
| { return __builtin_isnormal(__x); } |
| |
| constexpr bool |
| signbit(_Float64 __x) |
| { return __builtin_signbit(__x); } |
| |
| constexpr bool |
| isgreater(_Float64 __x, _Float64 __y) |
| { return __builtin_isgreater(__x, __y); } |
| |
| constexpr bool |
| isgreaterequal(_Float64 __x, _Float64 __y) |
| { return __builtin_isgreaterequal(__x, __y); } |
| |
| constexpr bool |
| isless(_Float64 __x, _Float64 __y) |
| { return __builtin_isless(__x, __y); } |
| |
| constexpr bool |
| islessequal(_Float64 __x, _Float64 __y) |
| { return __builtin_islessequal(__x, __y); } |
| |
| constexpr bool |
| islessgreater(_Float64 __x, _Float64 __y) |
| { return __builtin_islessgreater(__x, __y); } |
| |
| constexpr bool |
| isunordered(_Float64 __x, _Float64 __y) |
| { return __builtin_isunordered(__x, __y); } |
| #endif |
| |
| #ifdef __STDCPP_FLOAT128_T__ |
| constexpr int |
| fpclassify(_Float128 __x) |
| { return __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL, |
| FP_SUBNORMAL, FP_ZERO, __x); } |
| |
| constexpr bool |
| isfinite(_Float128 __x) |
| { return __builtin_isfinite(__x); } |
| |
| constexpr bool |
| isinf(_Float128 __x) |
| { return __builtin_isinf(__x); } |
| |
| constexpr bool |
| isnan(_Float128 __x) |
| { return __builtin_isnan(__x); } |
| |
| constexpr bool |
| isnormal(_Float128 __x) |
| { return __builtin_isnormal(__x); } |
| |
| constexpr bool |
| signbit(_Float128 __x) |
| { return __builtin_signbit(__x); } |
| |
| constexpr bool |
| isgreater(_Float128 __x, _Float128 __y) |
| { return __builtin_isgreater(__x, __y); } |
| |
| constexpr bool |
| isgreaterequal(_Float128 __x, _Float128 __y) |
| { return __builtin_isgreaterequal(__x, __y); } |
| |
| constexpr bool |
| isless(_Float128 __x, _Float128 __y) |
| { return __builtin_isless(__x, __y); } |
| |
| constexpr bool |
| islessequal(_Float128 __x, _Float128 __y) |
| { return __builtin_islessequal(__x, __y); } |
| |
| constexpr bool |
| islessgreater(_Float128 __x, _Float128 __y) |
| { return __builtin_islessgreater(__x, __y); } |
| |
| constexpr bool |
| isunordered(_Float128 __x, _Float128 __y) |
| { return __builtin_isunordered(__x, __y); } |
| #endif |
| |
| #ifdef __STDCPP_BFLOAT16_T__ |
| constexpr int |
| fpclassify(__gnu_cxx::__bfloat16_t __x) |
| { return __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL, |
| FP_SUBNORMAL, FP_ZERO, __x); } |
| |
| constexpr bool |
| isfinite(__gnu_cxx::__bfloat16_t __x) |
| { return __builtin_isfinite(__x); } |
| |
| constexpr bool |
| isinf(__gnu_cxx::__bfloat16_t __x) |
| { return __builtin_isinf(__x); } |
| |
| constexpr bool |
| isnan(__gnu_cxx::__bfloat16_t __x) |
| { return __builtin_isnan(__x); } |
| |
| constexpr bool |
| isnormal(__gnu_cxx::__bfloat16_t __x) |
| { return __builtin_isnormal(__x); } |
| |
| constexpr bool |
| signbit(__gnu_cxx::__bfloat16_t __x) |
| { return __builtin_signbit(__x); } |
| |
| constexpr bool |
| isgreater(__gnu_cxx::__bfloat16_t __x, __gnu_cxx::__bfloat16_t __y) |
| { return __builtin_isgreater(__x, __y); } |
| |
| constexpr bool |
| isgreaterequal(__gnu_cxx::__bfloat16_t __x, __gnu_cxx::__bfloat16_t __y) |
| { return __builtin_isgreaterequal(__x, __y); } |
| |
| constexpr bool |
| isless(__gnu_cxx::__bfloat16_t __x, __gnu_cxx::__bfloat16_t __y) |
| { return __builtin_isless(__x, __y); } |
| |
| constexpr bool |
| islessequal(__gnu_cxx::__bfloat16_t __x, __gnu_cxx::__bfloat16_t __y) |
| { return __builtin_islessequal(__x, __y); } |
| |
| constexpr bool |
| islessgreater(__gnu_cxx::__bfloat16_t __x, __gnu_cxx::__bfloat16_t __y) |
| { return __builtin_islessgreater(__x, __y); } |
| |
| constexpr bool |
| isunordered(__gnu_cxx::__bfloat16_t __x, __gnu_cxx::__bfloat16_t __y) |
| { return __builtin_isunordered(__x, __y); } |
| #endif |
| |
| #endif /* _GLIBCXX_USE_C99_FP_MACROS_DYNAMIC */ |
| #endif /* _GLIBCXX_USE_C99_MATH */ |
| |
| #if __cplusplus >= 201103L |
| |
| #ifdef _GLIBCXX_USE_C99_MATH_TR1 |
| |
| #undef acosh |
| #undef acoshf |
| #undef acoshl |
| #undef asinh |
| #undef asinhf |
| #undef asinhl |
| #undef atanh |
| #undef atanhf |
| #undef atanhl |
| #undef cbrt |
| #undef cbrtf |
| #undef cbrtl |
| #undef copysign |
| #undef copysignf |
| #undef copysignl |
| #undef erf |
| #undef erff |
| #undef erfl |
| #undef erfc |
| #undef erfcf |
| #undef erfcl |
| #undef exp2 |
| #undef exp2f |
| #undef exp2l |
| #undef expm1 |
| #undef expm1f |
| #undef expm1l |
| #undef fdim |
| #undef fdimf |
| #undef fdiml |
| #undef fma |
| #undef fmaf |
| #undef fmal |
| #undef fmax |
| #undef fmaxf |
| #undef fmaxl |
| #undef fmin |
| #undef fminf |
| #undef fminl |
| #undef hypot |
| #undef hypotf |
| #undef hypotl |
| #undef ilogb |
| #undef ilogbf |
| #undef ilogbl |
| #undef lgamma |
| #undef lgammaf |
| #undef lgammal |
| #ifndef _GLIBCXX_NO_C99_ROUNDING_FUNCS |
| #undef llrint |
| #undef llrintf |
| #undef llrintl |
| #undef llround |
| #undef llroundf |
| #undef llroundl |
| #endif |
| #undef log1p |
| #undef log1pf |
| #undef log1pl |
| #undef log2 |
| #undef log2f |
| #undef log2l |
| #undef logb |
| #undef logbf |
| #undef logbl |
| #undef lrint |
| #undef lrintf |
| #undef lrintl |
| #undef lround |
| #undef lroundf |
| #undef lroundl |
| #undef nan |
| #undef nanf |
| #undef nanl |
| #undef nearbyint |
| #undef nearbyintf |
| #undef nearbyintl |
| #undef nextafter |
| #undef nextafterf |
| #undef nextafterl |
| #undef nexttoward |
| #undef nexttowardf |
| #undef nexttowardl |
| #undef remainder |
| #undef remainderf |
| #undef remainderl |
| #undef remquo |
| #undef remquof |
| #undef remquol |
| #undef rint |
| #undef rintf |
| #undef rintl |
| #undef round |
| #undef roundf |
| #undef roundl |
| #undef scalbln |
| #undef scalblnf |
| #undef scalblnl |
| #undef scalbn |
| #undef scalbnf |
| #undef scalbnl |
| #undef tgamma |
| #undef tgammaf |
| #undef tgammal |
| #undef trunc |
| #undef truncf |
| #undef truncl |
| |
| // types |
| using ::double_t; |
| using ::float_t; |
| |
| // functions |
| using ::acosh; |
| using ::acoshf; |
| using ::acoshl; |
| |
| using ::asinh; |
| using ::asinhf; |
| using ::asinhl; |
| |
| using ::atanh; |
| using ::atanhf; |
| using ::atanhl; |
| |
| using ::cbrt; |
| using ::cbrtf; |
| using ::cbrtl; |
| |
| using ::copysign; |
| using ::copysignf; |
| using ::copysignl; |
| |
| using ::erf; |
| using ::erff; |
| using ::erfl; |
| |
| using ::erfc; |
| using ::erfcf; |
| using ::erfcl; |
| |
| using ::exp2; |
| using ::exp2f; |
| using ::exp2l; |
| |
| using ::expm1; |
| using ::expm1f; |
| using ::expm1l; |
| |
| using ::fdim; |
| using ::fdimf; |
| using ::fdiml; |
| |
| using ::fma; |
| using ::fmaf; |
| using ::fmal; |
| |
| using ::fmax; |
| using ::fmaxf; |
| using ::fmaxl; |
| |
| using ::fmin; |
| using ::fminf; |
| using ::fminl; |
| |
| using ::hypot; |
| using ::hypotf; |
| using ::hypotl; |
| |
| using ::ilogb; |
| using ::ilogbf; |
| using ::ilogbl; |
| |
| using ::lgamma; |
| using ::lgammaf; |
| using ::lgammal; |
| |
| #ifndef _GLIBCXX_NO_C99_ROUNDING_FUNCS |
| using ::llrint; |
| using ::llrintf; |
| using ::llrintl; |
| |
| using ::llround; |
| using ::llroundf; |
| using ::llroundl; |
| #endif |
| |
| using ::log1p; |
| using ::log1pf; |
| using ::log1pl; |
| |
| using ::log2; |
| using ::log2f; |
| using ::log2l; |
| |
| using ::logb; |
| using ::logbf; |
| using ::logbl; |
| |
| using ::lrint; |
| using ::lrintf; |
| using ::lrintl; |
| |
| using ::lround; |
| using ::lroundf; |
| using ::lroundl; |
| |
| using ::nan; |
| using ::nanf; |
| using ::nanl; |
| |
| using ::nearbyint; |
| using ::nearbyintf; |
| using ::nearbyintl; |
| |
| using ::nextafter; |
| using ::nextafterf; |
| using ::nextafterl; |
| |
| using ::nexttoward; |
| using ::nexttowardf; |
| using ::nexttowardl; |
| |
| using ::remainder; |
| using ::remainderf; |
| using ::remainderl; |
| |
| using ::remquo; |
| using ::remquof; |
| using ::remquol; |
| |
| using ::rint; |
| using ::rintf; |
| using ::rintl; |
| |
| using ::round; |
| using ::roundf; |
| using ::roundl; |
| |
| using ::scalbln; |
| using ::scalblnf; |
| using ::scalblnl; |
| |
| using ::scalbn; |
| using ::scalbnf; |
| using ::scalbnl; |
| |
| using ::tgamma; |
| using ::tgammaf; |
| using ::tgammal; |
| |
| using ::trunc; |
| using ::truncf; |
| using ::truncl; |
| |
| /// Additional overloads. |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr float |
| acosh(float __x) |
| { return __builtin_acoshf(__x); } |
| |
| constexpr long double |
| acosh(long double __x) |
| { return __builtin_acoshl(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp> |
| constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| double>::__type |
| acosh(_Tp __x) |
| { return __builtin_acosh(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr float |
| asinh(float __x) |
| { return __builtin_asinhf(__x); } |
| |
| constexpr long double |
| asinh(long double __x) |
| { return __builtin_asinhl(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp> |
| constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| double>::__type |
| asinh(_Tp __x) |
| { return __builtin_asinh(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr float |
| atanh(float __x) |
| { return __builtin_atanhf(__x); } |
| |
| constexpr long double |
| atanh(long double __x) |
| { return __builtin_atanhl(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp> |
| constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| double>::__type |
| atanh(_Tp __x) |
| { return __builtin_atanh(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr float |
| cbrt(float __x) |
| { return __builtin_cbrtf(__x); } |
| |
| constexpr long double |
| cbrt(long double __x) |
| { return __builtin_cbrtl(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp> |
| constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| double>::__type |
| cbrt(_Tp __x) |
| { return __builtin_cbrt(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr float |
| copysign(float __x, float __y) |
| { return __builtin_copysignf(__x, __y); } |
| |
| constexpr long double |
| copysign(long double __x, long double __y) |
| { return __builtin_copysignl(__x, __y); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp, typename _Up> |
| constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type |
| copysign(_Tp __x, _Up __y) |
| { |
| typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type; |
| return copysign(__type(__x), __type(__y)); |
| } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr float |
| erf(float __x) |
| { return __builtin_erff(__x); } |
| |
| constexpr long double |
| erf(long double __x) |
| { return __builtin_erfl(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp> |
| constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| double>::__type |
| erf(_Tp __x) |
| { return __builtin_erf(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr float |
| erfc(float __x) |
| { return __builtin_erfcf(__x); } |
| |
| constexpr long double |
| erfc(long double __x) |
| { return __builtin_erfcl(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp> |
| constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| double>::__type |
| erfc(_Tp __x) |
| { return __builtin_erfc(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr float |
| exp2(float __x) |
| { return __builtin_exp2f(__x); } |
| |
| constexpr long double |
| exp2(long double __x) |
| { return __builtin_exp2l(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp> |
| constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| double>::__type |
| exp2(_Tp __x) |
| { return __builtin_exp2(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr float |
| expm1(float __x) |
| { return __builtin_expm1f(__x); } |
| |
| constexpr long double |
| expm1(long double __x) |
| { return __builtin_expm1l(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp> |
| constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| double>::__type |
| expm1(_Tp __x) |
| { return __builtin_expm1(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr float |
| fdim(float __x, float __y) |
| { return __builtin_fdimf(__x, __y); } |
| |
| constexpr long double |
| fdim(long double __x, long double __y) |
| { return __builtin_fdiml(__x, __y); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp, typename _Up> |
| constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type |
| fdim(_Tp __x, _Up __y) |
| { |
| typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type; |
| return fdim(__type(__x), __type(__y)); |
| } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr float |
| fma(float __x, float __y, float __z) |
| { return __builtin_fmaf(__x, __y, __z); } |
| |
| constexpr long double |
| fma(long double __x, long double __y, long double __z) |
| { return __builtin_fmal(__x, __y, __z); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp, typename _Up, typename _Vp> |
| constexpr typename __gnu_cxx::__promote_3<_Tp, _Up, _Vp>::__type |
| fma(_Tp __x, _Up __y, _Vp __z) |
| { |
| typedef typename __gnu_cxx::__promote_3<_Tp, _Up, _Vp>::__type __type; |
| return fma(__type(__x), __type(__y), __type(__z)); |
| } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr float |
| fmax(float __x, float __y) |
| { return __builtin_fmaxf(__x, __y); } |
| |
| constexpr long double |
| fmax(long double __x, long double __y) |
| { return __builtin_fmaxl(__x, __y); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp, typename _Up> |
| constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type |
| fmax(_Tp __x, _Up __y) |
| { |
| typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type; |
| return fmax(__type(__x), __type(__y)); |
| } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr float |
| fmin(float __x, float __y) |
| { return __builtin_fminf(__x, __y); } |
| |
| constexpr long double |
| fmin(long double __x, long double __y) |
| { return __builtin_fminl(__x, __y); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp, typename _Up> |
| constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type |
| fmin(_Tp __x, _Up __y) |
| { |
| typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type; |
| return fmin(__type(__x), __type(__y)); |
| } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr float |
| hypot(float __x, float __y) |
| { return __builtin_hypotf(__x, __y); } |
| |
| constexpr long double |
| hypot(long double __x, long double __y) |
| { return __builtin_hypotl(__x, __y); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp, typename _Up> |
| constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type |
| hypot(_Tp __x, _Up __y) |
| { |
| typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type; |
| return hypot(__type(__x), __type(__y)); |
| } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr int |
| ilogb(float __x) |
| { return __builtin_ilogbf(__x); } |
| |
| constexpr int |
| ilogb(long double __x) |
| { return __builtin_ilogbl(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp> |
| constexpr |
| typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| int>::__type |
| ilogb(_Tp __x) |
| { return __builtin_ilogb(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr float |
| lgamma(float __x) |
| { return __builtin_lgammaf(__x); } |
| |
| constexpr long double |
| lgamma(long double __x) |
| { return __builtin_lgammal(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp> |
| constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| double>::__type |
| lgamma(_Tp __x) |
| { return __builtin_lgamma(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr long long |
| llrint(float __x) |
| { return __builtin_llrintf(__x); } |
| |
| constexpr long long |
| llrint(long double __x) |
| { return __builtin_llrintl(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp> |
| constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| long long>::__type |
| llrint(_Tp __x) |
| { return __builtin_llrint(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr long long |
| llround(float __x) |
| { return __builtin_llroundf(__x); } |
| |
| constexpr long long |
| llround(long double __x) |
| { return __builtin_llroundl(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp> |
| constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| long long>::__type |
| llround(_Tp __x) |
| { return __builtin_llround(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr float |
| log1p(float __x) |
| { return __builtin_log1pf(__x); } |
| |
| constexpr long double |
| log1p(long double __x) |
| { return __builtin_log1pl(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp> |
| constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| double>::__type |
| log1p(_Tp __x) |
| { return __builtin_log1p(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| // DR 568. |
| constexpr float |
| log2(float __x) |
| { return __builtin_log2f(__x); } |
| |
| constexpr long double |
| log2(long double __x) |
| { return __builtin_log2l(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp> |
| constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| double>::__type |
| log2(_Tp __x) |
| { return __builtin_log2(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr float |
| logb(float __x) |
| { return __builtin_logbf(__x); } |
| |
| constexpr long double |
| logb(long double __x) |
| { return __builtin_logbl(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp> |
| constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| double>::__type |
| logb(_Tp __x) |
| { return __builtin_logb(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr long |
| lrint(float __x) |
| { return __builtin_lrintf(__x); } |
| |
| constexpr long |
| lrint(long double __x) |
| { return __builtin_lrintl(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp> |
| constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| long>::__type |
| lrint(_Tp __x) |
| { return __builtin_lrint(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr long |
| lround(float __x) |
| { return __builtin_lroundf(__x); } |
| |
| constexpr long |
| lround(long double __x) |
| { return __builtin_lroundl(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp> |
| constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| long>::__type |
| lround(_Tp __x) |
| { return __builtin_lround(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr float |
| nearbyint(float __x) |
| { return __builtin_nearbyintf(__x); } |
| |
| constexpr long double |
| nearbyint(long double __x) |
| { return __builtin_nearbyintl(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp> |
| constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| double>::__type |
| nearbyint(_Tp __x) |
| { return __builtin_nearbyint(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr float |
| nextafter(float __x, float __y) |
| { return __builtin_nextafterf(__x, __y); } |
| |
| constexpr long double |
| nextafter(long double __x, long double __y) |
| { return __builtin_nextafterl(__x, __y); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp, typename _Up> |
| constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type |
| nextafter(_Tp __x, _Up __y) |
| { |
| typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type; |
| return nextafter(__type(__x), __type(__y)); |
| } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr float |
| nexttoward(float __x, long double __y) |
| { return __builtin_nexttowardf(__x, __y); } |
| |
| constexpr long double |
| nexttoward(long double __x, long double __y) |
| { return __builtin_nexttowardl(__x, __y); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp> |
| constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| double>::__type |
| nexttoward(_Tp __x, long double __y) |
| { return __builtin_nexttoward(__x, __y); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr float |
| remainder(float __x, float __y) |
| { return __builtin_remainderf(__x, __y); } |
| |
| constexpr long double |
| remainder(long double __x, long double __y) |
| { return __builtin_remainderl(__x, __y); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp, typename _Up> |
| constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type |
| remainder(_Tp __x, _Up __y) |
| { |
| typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type; |
| return remainder(__type(__x), __type(__y)); |
| } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| inline float |
| remquo(float __x, float __y, int* __pquo) |
| { return __builtin_remquof(__x, __y, __pquo); } |
| |
| inline long double |
| remquo(long double __x, long double __y, int* __pquo) |
| { return __builtin_remquol(__x, __y, __pquo); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp, typename _Up> |
| inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type |
| remquo(_Tp __x, _Up __y, int* __pquo) |
| { |
| typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type; |
| return remquo(__type(__x), __type(__y), __pquo); |
| } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr float |
| rint(float __x) |
| { return __builtin_rintf(__x); } |
| |
| constexpr long double |
| rint(long double __x) |
| { return __builtin_rintl(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp> |
| constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| double>::__type |
| rint(_Tp __x) |
| { return __builtin_rint(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr float |
| round(float __x) |
| { return __builtin_roundf(__x); } |
| |
| constexpr long double |
| round(long double __x) |
| { return __builtin_roundl(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp> |
| constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| double>::__type |
| round(_Tp __x) |
| { return __builtin_round(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr float |
| scalbln(float __x, long __ex) |
| { return __builtin_scalblnf(__x, __ex); } |
| |
| constexpr long double |
| scalbln(long double __x, long __ex) |
| { return __builtin_scalblnl(__x, __ex); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp> |
| constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| double>::__type |
| scalbln(_Tp __x, long __ex) |
| { return __builtin_scalbln(__x, __ex); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr float |
| scalbn(float __x, int __ex) |
| { return __builtin_scalbnf(__x, __ex); } |
| |
| constexpr long double |
| scalbn(long double __x, int __ex) |
| { return __builtin_scalbnl(__x, __ex); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp> |
| constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| double>::__type |
| scalbn(_Tp __x, int __ex) |
| { return __builtin_scalbn(__x, __ex); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr float |
| tgamma(float __x) |
| { return __builtin_tgammaf(__x); } |
| |
| constexpr long double |
| tgamma(long double __x) |
| { return __builtin_tgammal(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp> |
| constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| double>::__type |
| tgamma(_Tp __x) |
| { return __builtin_tgamma(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP |
| constexpr float |
| trunc(float __x) |
| { return __builtin_truncf(__x); } |
| |
| constexpr long double |
| trunc(long double __x) |
| { return __builtin_truncl(__x); } |
| #endif |
| |
| #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT |
| template<typename _Tp> |
| constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, |
| double>::__type |
| trunc(_Tp __x) |
| { return __builtin_trunc(__x); } |
| #endif |
| |
| #if defined(__STDCPP_FLOAT16_T__) && defined(_GLIBCXX_FLOAT_IS_IEEE_BINARY32) |
| constexpr _Float16 |
| acosh(_Float16 __x) |
| { return _Float16(__builtin_acoshf(__x)); } |
| |
| constexpr _Float16 |
| asinh(_Float16 __x) |
| { return _Float16(__builtin_asinhf(__x)); } |
| |
| constexpr _Float16 |
| atanh(_Float16 __x) |
| { return _Float16(__builtin_atanhf(__x)); } |
| |
| constexpr _Float16 |
| cbrt(_Float16 __x) |
| { return _Float16(__builtin_cbrtf(__x)); } |
| |
| constexpr _Float16 |
| copysign(_Float16 __x, _Float16 __y) |
| { return __builtin_copysignf16(__x, __y); } |
| |
| constexpr _Float16 |
| erf(_Float16 __x) |
| { return _Float16(__builtin_erff(__x)); } |
| |
| constexpr _Float16 |
| erfc(_Float16 __x) |
| { return _Float16(__builtin_erfcf(__x)); } |
| |
| constexpr _Float16 |
| exp2(_Float16 __x) |
| { return _Float16(__builtin_exp2f(__x)); } |
| |
| constexpr _Float16 |
| expm1(_Float16 __x) |
| { return _Float16(__builtin_expm1f(__x)); } |
| |
| constexpr _Float16 |
| fdim(_Float16 __x, _Float16 __y) |
| { return _Float16(__builtin_fdimf(__x, __y)); } |
| |
| constexpr _Float16 |
| fma(_Float16 __x, _Float16 __y, _Float16 __z) |
| { return _Float16(__builtin_fmaf(__x, __y, __z)); } |
| |
| constexpr _Float16 |
| fmax(_Float16 __x, _Float16 __y) |
| { return _Float16(__builtin_fmaxf(__x, __y)); } |
| |
| constexpr _Float16 |
| fmin(_Float16 __x, _Float16 __y) |
| { return _Float16(__builtin_fminf(__x, __y)); } |
| |
| constexpr _Float16 |
| hypot(_Float16 __x, _Float16 __y) |
| { return _Float16(__builtin_hypotf(__x, __y)); } |
| |
| constexpr int |
| ilogb(_Float16 __x) |
| { return _Float16(__builtin_ilogbf(__x)); } |
| |
| constexpr _Float16 |
| lgamma(_Float16 __x) |
| { return _Float16(__builtin_lgammaf(__x)); } |
| |
| constexpr long long |
| llrint(_Float16 __x) |
| { return _Float16(__builtin_llrintf(__x)); } |
| |
| constexpr long long |
| llround(_Float16 __x) |
| { return _Float16(__builtin_llroundf(__x)); } |
| |
| constexpr _Float16 |
| log1p(_Float16 __x) |
| { return _Float16(__builtin_log1pf(__x)); } |
| |
| // DR 568. |
| constexpr _Float16 |
| log2(_Float16 __x) |
| { return _Float16(__builtin_log2f(__x)); } |
| |
| constexpr _Float16 |
| logb(_Float16 __x) |
| { return _Float16(__builtin_logbf(__x)); } |
| |
| constexpr long |
| lrint(_Float16 __x) |
| { return _Float16(__builtin_lrintf(__x)); } |
| |
| constexpr long |
| lround(_Float16 __x) |
| { return _Float16(__builtin_lroundf(__x)); } |
| |
| constexpr _Float16 |
| nearbyint(_Float16 __x) |
| { return _Float16(__builtin_nearbyintf(__x)); } |
| |
| constexpr _Float16 |
| nextafter(_Float16 __x, _Float16 __y) |
| { |
| if (std::__is_constant_evaluated()) |
| return __builtin_nextafterf16(__x, __y); |
| #ifdef __INT16_TYPE__ |
| using __float16_int_type = __INT16_TYPE__; |
| #else |
| using __float16_int_type = short int; |
| #endif |
| __float16_int_type __hx, __hy, __ix, __iy; |
| __builtin_memcpy(&__hx, &__x, sizeof(__x)); |
| __builtin_memcpy(&__hy, &__y, sizeof(__x)); |
| __ix = __hx & 0x7fff; // |x| |
| __iy = __hy & 0x7fff; // |y| |
| if (__ix > 0x7c00 || __iy > 0x7c00) // x or y is NaN |
| return __x + __y; |
| if (__x == __y) |
| return __y; // x == y, return y |
| if (__ix == 0) // x == 0 |
| { |
| __hy = (__hy & 0x8000) | 1; // return +-__FLT16_DENORM_MIN__ |
| __builtin_memcpy(&__x, &__hy, sizeof(__x)); |
| __builtin_nextafterf(0.0f, 1.0f); // raise underflow |
| return __x; |
| } |
| if (__hx >= 0) // x > 0 |
| { |
| if (__hx > __hy) // x > y, x -= ulp |
| --__hx; |
| else // x < y, x += ulp |
| ++__hx; |
| } |
| else // x < 0 |
| { |
| if (__hy >= 0 || __hx > __hy) // x < y, x -= ulp |
| --__hx; |
| else // x > y, x += ulp |
| ++__hx; |
| } |
| __hy = __hx & 0x7c00; |
| if (__hy >= 0x7c00) |
| __builtin_nextafterf(__FLT_MAX__, __builtin_inff()); // overflow |
| else if (__hy < 0x0400) |
| __builtin_nextafterf(__FLT_MIN__, 0.0f); // underflow |
| __builtin_memcpy(&__x, &__hx, sizeof(__x)); |
| return __x; |
| } |
| |
| constexpr _Float16 |
| remainder(_Float16 __x, _Float16 __y) |
| { return _Float16(__builtin_remainderf(__x, __y)); } |
| |
| inline _Float16 |
| remquo(_Float16 __x, _Float16 __y, int* __pquo) |
| { return _Float16(__builtin_remquof(__x, __y, __pquo)); } |
| |
| constexpr _Float16 |
| rint(_Float16 __x) |
| { return _Float16(__builtin_rintf(__x)); } |
| |
| constexpr _Float16 |
| round(_Float16 __x) |
| { return _Float16(__builtin_roundf(__x)); } |
| |
| constexpr _Float16 |
| scalbln(_Float16 __x, long __ex) |
| { return _Float16(__builtin_scalblnf(__x, __ex)); } |
| |
| constexpr _Float16 |
| scalbn(_Float16 __x, int __ex) |
| { return _Float16(__builtin_scalbnf(__x, __ex)); } |
| |
| constexpr _Float16 |
| tgamma(_Float16 __x) |
| { return _Float16(__builtin_tgammaf(__x)); } |
| |
| constexpr _Float16 |
| trunc(_Float16 __x) |
| { return _Float16(__builtin_truncf(__x)); } |
| #endif |
| |
| #if defined(__STDCPP_FLOAT32_T__) && defined(_GLIBCXX_FLOAT_IS_IEEE_BINARY32) |
| constexpr _Float32 |
| acosh(_Float32 __x) |
| { return __builtin_acoshf(__x); } |
| |
| constexpr _Float32 |
| asinh(_Float32 __x) |
| { return __builtin_asinhf(__x); } |
| |
| constexpr _Float32 |
| atanh(_Float32 __x) |
| { return __builtin_atanhf(__x); } |
| |
| constexpr _Float32 |
| cbrt(_Float32 __x) |
| { return __builtin_cbrtf(__x); } |
| |
| constexpr _Float32 |
| copysign(_Float32 __x, _Float32 __y) |
| { return __builtin_copysignf(__x, __y); } |
| |
| constexpr _Float32 |
| erf(_Float32 __x) |
| { return __builtin_erff(__x); } |
| |
| constexpr _Float32 |
| erfc(_Float32 __x) |
| { return __builtin_erfcf(__x); } |
| |
| constexpr _Float32 |
| exp2(_Float32 __x) |
| { return __builtin_exp2f(__x); } |
| |
| constexpr _Float32 |
| expm1(_Float32 __x) |
| { return __builtin_expm1f(__x); } |
| |
| constexpr _Float32 |
| fdim(_Float32 __x, _Float32 __y) |
| { return __builtin_fdimf(__x, __y); } |
| |
| constexpr _Float32 |
| fma(_Float32 __x, _Float32 __y, _Float32 __z) |
| { return __builtin_fmaf(__x, __y, __z); } |
| |
| constexpr _Float32 |
| fmax(_Float32 __x, _Float32 __y) |
| { return __builtin_fmaxf(__x, __y); } |
| |
| constexpr _Float32 |
| fmin(_Float32 __x, _Float32 __y) |
| { return __builtin_fminf(__x, __y); } |
| |
| constexpr _Float32 |
| hypot(_Float32 __x, _Float32 __y) |
| { return __builtin_hypotf(__x, __y); } |
| |
| constexpr int |
| ilogb(_Float32 __x) |
| { return __builtin_ilogbf(__x); } |
| |
| constexpr _Float32 |
| lgamma(_Float32 __x) |
| { return __builtin_lgammaf(__x); } |
| |
| constexpr long long |
| llrint(_Float32 __x) |
| { return __builtin_llrintf(__x); } |
| |
| constexpr long long |
| llround(_Float32 __x) |
| { return __builtin_llroundf(__x); } |
| |
| constexpr _Float32 |
| log1p(_Float32 __x) |
| { return __builtin_log1pf(__x); } |
| |
| // DR 568. |
| constexpr _Float32 |
| log2(_Float32 __x) |
| { return __builtin_log2f(__x); } |
| |
| constexpr _Float32 |
| logb(_Float32 __x) |
| { return __builtin_logbf(__x); } |
| |
| constexpr long |
| lrint(_Float32 __x) |
| { return __builtin_lrintf(__x); } |
| |
| constexpr long |
| lround(_Float32 __x) |
| { return __builtin_lroundf(__x); } |
| |
| constexpr _Float32 |
| nearbyint(_Float32 __x) |
| { return __builtin_nearbyintf(__x); } |
| |
| constexpr _Float32 |
| nextafter(_Float32 __x, _Float32 __y) |
| { return __builtin_nextafterf(__x, __y); } |
| |
| constexpr _Float32 |
| remainder(_Float32 __x, _Float32 __y) |
| { return __builtin_remainderf(__x, __y); } |
| |
| inline _Float32 |
| remquo(_Float32 __x, _Float32 __y, int* __pquo) |
| { return __builtin_remquof(__x, __y, __pquo); } |
| |
| constexpr _Float32 |
| rint(_Float32 __x) |
| { return __builtin_rintf(__x); } |
| |
| constexpr _Float32 |
| round(_Float32 __x) |
| { return __builtin_roundf(__x); } |
| |
| constexpr _Float32 |
| scalbln(_Float32 __x, long __ex) |
| { return __builtin_scalblnf(__x, __ex); } |
| |
| constexpr _Float32 |
| scalbn(_Float32 __x, int __ex) |
| { return __builtin_scalbnf(__x, __ex); } |
| |
| constexpr _Float32 |
| tgamma(_Float32 __x) |
| { return __builtin_tgammaf(__x); } |
| |
| constexpr _Float32 |
| trunc(_Float32 __x) |
| { return __builtin_truncf(__x); } |
| #endif |
| |
| #if defined(__STDCPP_FLOAT64_T__) && defined(_GLIBCXX_DOUBLE_IS_IEEE_BINARY64) |
| constexpr _Float64 |
| acosh(_Float64 __x) |
| { return __builtin_acosh(__x); } |
| |
| constexpr _Float64 |
| asinh(_Float64 __x) |
| { return __builtin_asinh(__x); } |
| |
| constexpr _Float64 |
| atanh(_Float64 __x) |
| { return __builtin_atanh(__x); } |
| |
| constexpr _Float64 |
| cbrt(_Float64 __x) |
| { return __builtin_cbrt(__x); } |
| |
| constexpr _Float64 |
| copysign(_Float64 __x, _Float64 __y) |
| { return __builtin_copysign(__x, __y); } |
| |
| constexpr _Float64 |
| erf(_Float64 __x) |
| { return __builtin_erf(__x); } |
| |
| constexpr _Float64 |
| erfc(_Float64 __x) |
| { return __builtin_erfc(__x); } |
| |
| constexpr _Float64 |
| exp2(_Float64 __x) |
| { return __builtin_exp2(__x); } |
| |
| constexpr _Float64 |
| expm1(_Float64 __x) |
| { return __builtin_expm1(__x); } |
| |
| constexpr _Float64 |
| fdim(_Float64 __x, _Float64 __y) |
| { return __builtin_fdim(__x, __y); } |
| |
| constexpr _Float64 |
| fma(_Float64 __x, _Float64 __y, _Float64 __z) |
| { return __builtin_fma(__x, __y, __z); } |
| |
| constexpr _Float64 |
| fmax(_Float64 __x, _Float64 __y) |
| { return __builtin_fmax(__x, __y); } |
| |
| constexpr _Float64 |
| fmin(_Float64 __x, _Float64 __y) |
| { return __builtin_fmin(__x, __y); } |
| |
| constexpr _Float64 |
| hypot(_Float64 __x, _Float64 __y) |
| { return __builtin_hypot(__x, __y); } |
| |
| constexpr int |
| ilogb(_Float64 __x) |
| { return __builtin_ilogb(__x); } |
| |
| constexpr _Float64 |
| lgamma(_Float64 __x) |
| { return __builtin_lgamma(__x); } |
| |
| constexpr long long |
| llrint(_Float64 __x) |
| { return __builtin_llrint(__x); } |
| |
| constexpr long long |
| llround(_Float64 __x) |
| { return __builtin_llround(__x); } |
| |
| constexpr _Float64 |
| log1p(_Float64 __x) |
| { return __builtin_log1p(__x); } |
| |
| // DR 568. |
| constexpr _Float64 |
| log2(_Float64 __x) |
| { return __builtin_log2(__x); } |
| |
| constexpr _Float64 |
| logb(_Float64 __x) |
| { return __builtin_logb(__x); } |
| |
| constexpr long |
| lrint(_Float64 __x) |
| { return __builtin_lrint(__x); } |
| |
| constexpr long |
| lround(_Float64 __x) |
| { return __builtin_lround(__x); } |
| |
| constexpr _Float64 |
| nearbyint(_Float64 __x) |
| { return __builtin_nearbyint(__x); } |
| |
| constexpr _Float64 |
| nextafter(_Float64 __x, _Float64 __y) |
| { return __builtin_nextafter(__x, __y); } |
| |
| constexpr _Float64 |
| remainder(_Float64 __x, _Float64 __y) |
| { return __builtin_remainder(__x, __y); } |
| |
| inline _Float64 |
| remquo(_Float64 __x, _Float64 __y, int* __pquo) |
| { return __builtin_remquo(__x, __y, __pquo); } |
| |
| constexpr _Float64 |
| rint(_Float64 __x) |
| { return __builtin_rint(__x); } |
| |
| constexpr _Float64 |
| round(_Float64 __x) |
| { return __builtin_round(__x); } |
| |
| constexpr _Float64 |
| scalbln(_Float64 __x, long __ex) |
| { return __builtin_scalbln(__x, __ex); } |
| |
| constexpr _Float64 |
| scalbn(_Float64 __x, int __ex) |
| { return __builtin_scalbn(__x, __ex); } |
| |
| constexpr _Float64 |
| tgamma(_Float64 __x) |
| { return __builtin_tgamma(__x); } |
| |
| constexpr _Float64 |
| trunc(_Float64 __x) |
| { return __builtin_trunc(__x); } |
| #endif |
| |
| #if defined(__STDCPP_FLOAT128_T__) && defined(_GLIBCXX_LDOUBLE_IS_IEEE_BINARY128) |
| constexpr _Float128 |
| acosh(_Float128 __x) |
| { return __builtin_acoshl(__x); } |
| |
| constexpr _Float128 |
| asinh(_Float128 __x) |
| { return __builtin_asinhl(__x); } |
| |
| constexpr _Float128 |
| atanh(_Float128 __x) |
| { return __builtin_atanhl(__x); } |
| |
| constexpr _Float128 |
| cbrt(_Float128 __x) |
| { return __builtin_cbrtl(__x); } |
| |
| constexpr _Float128 |
| copysign(_Float128 __x, _Float128 __y) |
| { return __builtin_copysignl(__x, __y); } |
| |
| constexpr _Float128 |
| erf(_Float128 __x) |
| { return __builtin_erfl(__x); } |
| |
| constexpr _Float128 |
| erfc(_Float128 __x) |
| { return __builtin_erfcl(__x); } |
| |
| constexpr _Float128 |
| exp2(_Float128 __x) |
| { return __builtin_exp2l(__x); } |
| |
| constexpr _Float128 |
| expm1(_Float128 __x) |
| { return __builtin_expm1l(__x); } |
| |
| constexpr _Float128 |
| fdim(_Float128 __x, _Float128 __y) |
| { return __builtin_fdiml(__x, __y); } |
| |
| constexpr _Float128 |
| fma(_Float128 __x, _Float128 __y, _Float128 __z) |
| { return __builtin_fmal(__x, __y, __z); } |
| |
| constexpr _Float128 |
| fmax(_Float128 __x, _Float128 __y) |
| { return __builtin_fmaxl(__x, __y); } |
| |
| constexpr _Float128 |
| fmin(_Float128 __x, _Float128 __y) |
| { return __builtin_fminl(__x, __y); } |
| |
| constexpr _Float128 |
| hypot(_Float128 __x, _Float128 __y) |
| { return __builtin_hypotl(__x, __y); } |
| |
| constexpr int |
| ilogb(_Float128 __x) |
| { return __builtin_ilogbl(__x); } |
| |
| constexpr _Float128 |
| lgamma(_Float128 __x) |
| { return __builtin_lgammal(__x); } |
| |
| constexpr long long |
| llrint(_Float128 __x) |
| { return __builtin_llrintl(__x); } |
| |
| constexpr long long |
| llround(_Float128 __x) |
| { return __builtin_llroundl(__x); } |
| |
| constexpr _Float128 |
| log1p(_Float128 __x) |
| { return __builtin_log1pl(__x); } |
| |
| // DR 568. |
| constexpr _Float128 |
| log2(_Float128 __x) |
| { return __builtin_log2l(__x); } |
| |
| constexpr _Float128 |
| logb(_Float128 __x) |
| { return __builtin_logbl(__x); } |
| |
| constexpr long |
| lrint(_Float128 __x) |
| { return __builtin_lrintl(__x); } |
| |
| constexpr long |
| lround(_Float128 __x) |
| { return __builtin_lroundl(__x); } |
| |
| constexpr _Float128 |
| nearbyint(_Float128 __x) |
| { return __builtin_nearbyintl(__x); } |
| |
| constexpr _Float128 |
| nextafter(_Float128 __x, _Float128 __y) |
| { return __builtin_nextafterl(__x, __y); } |
| |
| constexpr _Float128 |
| remainder(_Float128 __x, _Float128 __y) |
| { return __builtin_remainderl(__x, __y); } |
| |
| inline _Float128 |
| remquo(_Float128 __x, _Float128 __y, int* __pquo) |
| { return __builtin_remquol(__x, __y, __pquo); } |
| |
| constexpr _Float128 |
| rint(_Float128 __x) |
| { return __builtin_rintl(__x); } |
| |
| constexpr _Float128 |
| round(_Float128 __x) |
| { return __builtin_roundl(__x); } |
| |
| constexpr _Float128 |
| scalbln(_Float128 __x, long __ex) |
| { return __builtin_scalblnl(__x, __ex); } |
| |
| constexpr _Float128 |
| scalbn(_Float128 __x, int __ex) |
| { return __builtin_scalbnl(__x, __ex); } |
| |
| constexpr _Float128 |
| tgamma(_Float128 __x) |
| { return __builtin_tgammal(__x); } |
| |
| constexpr _Float128 |
| trunc(_Float128 __x) |
| { return __builtin_truncl(__x); } |
| #elif defined(__STDCPP_FLOAT128_T__) && defined(_GLIBCXX_HAVE_FLOAT128_MATH) |
| constexpr _Float128 |
| acosh(_Float128 __x) |
| { return __builtin_acoshf128(__x); } |
| |
| constexpr _Float128 |
| asinh(_Float128 __x) |
| { return __builtin_asinhf128(__x); } |
| |
| constexpr _Float128 |
| atanh(_Float128 __x) |
| { return __builtin_atanhf128(__x); } |
| |
| constexpr _Float128 |
| cbrt(_Float128 __x) |
| { return __builtin_cbrtf128(__x); } |
| |
| constexpr _Float128 |
| copysign(_Float128 __x, _Float128 __y) |
| { return __builtin_copysignf128(__x, __y); } |
| |
| constexpr _Float128 |
| erf(_Float128 __x) |
| { return __builtin_erff128(__x); } |
| |
| constexpr _Float128 |
| erfc(_Float128 __x) |
| { return __builtin_erfcf128(__x); } |
| |
| constexpr _Float128 |
| exp2(_Float128 __x) |
| { return __builtin_exp2f128(__x); } |
| |
| constexpr _Float128 |
| expm1(_Float128 __x) |
| { return __builtin_expm1f128(__x); } |
| |
| constexpr _Float128 |
| fdim(_Float128 __x, _Float128 __y) |
| { return __builtin_fdimf128(__x, __y); } |
| |
| constexpr _Float128 |
| fma(_Float128 __x, _Float128 __y, _Float128 __z) |
| { return __builtin_fmaf128(__x, __y, __z); } |
| |
| constexpr _Float128 |
| fmax(_Float128 __x, _Float128 __y) |
| { return __builtin_fmaxf128(__x, __y); } |
| |
| constexpr _Float128 |
| fmin(_Float128 __x, _Float128 __y) |
| { return __builtin_fminf128(__x, __y); } |
| |
| constexpr _Float128 |
| hypot(_Float128 __x, _Float128 __y) |
| { return __builtin_hypotf128(__x, __y); } |
| |
| constexpr int |
| ilogb(_Float128 __x) |
| { return __builtin_ilogbf128(__x); } |
| |
| constexpr _Float128 |
| lgamma(_Float128 __x) |
| { return __builtin_lgammaf128(__x); } |
| |
| constexpr long long |
| llrint(_Float128 __x) |
| { return __builtin_llrintf128(__x); } |
| |
| constexpr long long |
| llround(_Float128 __x) |
| { return __builtin_llroundf128(__x); } |
| |
| constexpr _Float128 |
| log1p(_Float128 __x) |
| { return __builtin_log1pf128(__x); } |
| |
| // DR 568. |
| constexpr _Float128 |
| log2(_Float128 __x) |
| { return __builtin_log2f128(__x); } |
| |
| constexpr _Float128 |
| logb(_Float128 __x) |
| { return __builtin_logbf128(__x); } |
| |
| constexpr long |
| lrint(_Float128 __x) |
| { return __builtin_lrintf128(__x); } |
| |
| constexpr long |
| lround(_Float128 __x) |
| { return __builtin_lroundf128(__x); } |
| |
| constexpr _Float128 |
| nearbyint(_Float128 __x) |
| { return __builtin_nearbyintf128(__x); } |
| |
| constexpr _Float128 |
| nextafter(_Float128 __x, _Float128 __y) |
| { return __builtin_nextafterf128(__x, __y); } |
| |
| constexpr _Float128 |
| remainder(_Float128 __x, _Float128 __y) |
| { return __builtin_remainderf128(__x, __y); } |
| |
| inline _Float128 |
| remquo(_Float128 __x, _Float128 __y, int* __pquo) |
| { return __builtin_remquof128(__x, __y, __pquo); } |
| |
| constexpr _Float128 |
| rint(_Float128 __x) |
| { return __builtin_rintf128(__x); } |
| |
| constexpr _Float128 |
| round(_Float128 __x) |
| { return __builtin_roundf128(__x); } |
| |
| constexpr _Float128 |
| scalbln(_Float128 __x, long __ex) |
| { return __builtin_scalblnf128(__x, __ex); } |
| |
| constexpr _Float128 |
| scalbn(_Float128 __x, int __ex) |
| { return __builtin_scalbnf128(__x, __ex); } |
| |
| constexpr _Float128 |
| tgamma(_Float128 __x) |
| { return __builtin_tgammaf128(__x); } |
| |
| constexpr _Float128 |
| trunc(_Float128 __x) |
| { return __builtin_truncf128(__x); } |
| #endif |
| |
| #if defined(__STDCPP_BFLOAT16_T__) && defined(_GLIBCXX_FLOAT_IS_IEEE_BINARY32) |
| constexpr __gnu_cxx::__bfloat16_t |
| acosh(__gnu_cxx::__bfloat16_t __x) |
| { return __gnu_cxx::__bfloat16_t(__builtin_acoshf(__x)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| asinh(__gnu_cxx::__bfloat16_t __x) |
| { return __gnu_cxx::__bfloat16_t(__builtin_asinhf(__x)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| atanh(__gnu_cxx::__bfloat16_t __x) |
| { return __gnu_cxx::__bfloat16_t(__builtin_atanhf(__x)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| cbrt(__gnu_cxx::__bfloat16_t __x) |
| { return __gnu_cxx::__bfloat16_t(__builtin_cbrtf(__x)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| copysign(__gnu_cxx::__bfloat16_t __x, __gnu_cxx::__bfloat16_t __y) |
| { return __gnu_cxx::__bfloat16_t(__builtin_copysignf(__x, __y)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| erf(__gnu_cxx::__bfloat16_t __x) |
| { return __gnu_cxx::__bfloat16_t(__builtin_erff(__x)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| erfc(__gnu_cxx::__bfloat16_t __x) |
| { return __gnu_cxx::__bfloat16_t(__builtin_erfcf(__x)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| exp2(__gnu_cxx::__bfloat16_t __x) |
| { return __gnu_cxx::__bfloat16_t(__builtin_exp2f(__x)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| expm1(__gnu_cxx::__bfloat16_t __x) |
| { return __gnu_cxx::__bfloat16_t(__builtin_expm1f(__x)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| fdim(__gnu_cxx::__bfloat16_t __x, __gnu_cxx::__bfloat16_t __y) |
| { return __gnu_cxx::__bfloat16_t(__builtin_fdimf(__x, __y)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| fma(__gnu_cxx::__bfloat16_t __x, __gnu_cxx::__bfloat16_t __y, __gnu_cxx::__bfloat16_t __z) |
| { return __gnu_cxx::__bfloat16_t(__builtin_fmaf(__x, __y, __z)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| fmax(__gnu_cxx::__bfloat16_t __x, __gnu_cxx::__bfloat16_t __y) |
| { return __gnu_cxx::__bfloat16_t(__builtin_fmaxf(__x, __y)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| fmin(__gnu_cxx::__bfloat16_t __x, __gnu_cxx::__bfloat16_t __y) |
| { return __gnu_cxx::__bfloat16_t(__builtin_fminf(__x, __y)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| hypot(__gnu_cxx::__bfloat16_t __x, __gnu_cxx::__bfloat16_t __y) |
| { return __gnu_cxx::__bfloat16_t(__builtin_hypotf(__x, __y)); } |
| |
| constexpr int |
| ilogb(__gnu_cxx::__bfloat16_t __x) |
| { return __gnu_cxx::__bfloat16_t(__builtin_ilogbf(__x)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| lgamma(__gnu_cxx::__bfloat16_t __x) |
| { return __gnu_cxx::__bfloat16_t(__builtin_lgammaf(__x)); } |
| |
| constexpr long long |
| llrint(__gnu_cxx::__bfloat16_t __x) |
| { return __gnu_cxx::__bfloat16_t(__builtin_llrintf(__x)); } |
| |
| constexpr long long |
| llround(__gnu_cxx::__bfloat16_t __x) |
| { return __gnu_cxx::__bfloat16_t(__builtin_llroundf(__x)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| log1p(__gnu_cxx::__bfloat16_t __x) |
| { return __gnu_cxx::__bfloat16_t(__builtin_log1pf(__x)); } |
| |
| // DR 568. |
| constexpr __gnu_cxx::__bfloat16_t |
| log2(__gnu_cxx::__bfloat16_t __x) |
| { return __gnu_cxx::__bfloat16_t(__builtin_log2f(__x)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| logb(__gnu_cxx::__bfloat16_t __x) |
| { return __gnu_cxx::__bfloat16_t(__builtin_logbf(__x)); } |
| |
| constexpr long |
| lrint(__gnu_cxx::__bfloat16_t __x) |
| { return __gnu_cxx::__bfloat16_t(__builtin_lrintf(__x)); } |
| |
| constexpr long |
| lround(__gnu_cxx::__bfloat16_t __x) |
| { return __gnu_cxx::__bfloat16_t(__builtin_lroundf(__x)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| nearbyint(__gnu_cxx::__bfloat16_t __x) |
| { return __gnu_cxx::__bfloat16_t(__builtin_nearbyintf(__x)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| nextafter(__gnu_cxx::__bfloat16_t __x, __gnu_cxx::__bfloat16_t __y) |
| { |
| if (std::__is_constant_evaluated()) |
| return __builtin_nextafterf16b(__x, __y); |
| #ifdef __INT16_TYPE__ |
| using __bfloat16_int_type = __INT16_TYPE__; |
| #else |
| using __bfloat16_int_type = short int; |
| #endif |
| __bfloat16_int_type __hx, __hy, __ix, __iy; |
| __builtin_memcpy(&__hx, &__x, sizeof(__x)); |
| __builtin_memcpy(&__hy, &__y, sizeof(__x)); |
| __ix = __hx & 0x7fff; // |x| |
| __iy = __hy & 0x7fff; // |y| |
| if (__ix > 0x7f80 || __iy > 0x7f80) // x or y is NaN |
| return __x + __y; |
| if (__x == __y) |
| return __y; // x == y, return y |
| if (__ix == 0) // x == 0 |
| { |
| __hy = (__hy & 0x8000) | 1; // return +-__BFLT16_DENORM_MIN__ |
| __builtin_memcpy(&__x, &__hy, sizeof(__x)); |
| __builtin_nextafterf(0.0f, 1.0f); // raise underflow |
| return __x; |
| } |
| if (__hx >= 0) // x > 0 |
| { |
| if (__hx > __hy) // x > y, x -= ulp |
| --__hx; |
| else // x < y, x += ulp |
| ++__hx; |
| } |
| else // x < 0 |
| { |
| if (__hy >= 0 || __hx > __hy) // x < y, x -= ulp |
| --__hx; |
| else // x > y, x += ulp |
| ++__hx; |
| } |
| __hy = __hx & 0x7f80; |
| if (__hy >= 0x7f80) |
| __builtin_nextafterf(__FLT_MAX__, __builtin_inff()); // overflow |
| else if (__hy < 0x0080) |
| __builtin_nextafterf(__FLT_MIN__, 0.0f); // underflow |
| __builtin_memcpy(&__x, &__hx, sizeof(__x)); |
| return __x; |
| } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| remainder(__gnu_cxx::__bfloat16_t __x, __gnu_cxx::__bfloat16_t __y) |
| { return __gnu_cxx::__bfloat16_t(__builtin_remainderf(__x, __y)); } |
| |
| inline __gnu_cxx::__bfloat16_t |
| remquo(__gnu_cxx::__bfloat16_t __x, __gnu_cxx::__bfloat16_t __y, int* __pquo) |
| { return __gnu_cxx::__bfloat16_t(__builtin_remquof(__x, __y, __pquo)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| rint(__gnu_cxx::__bfloat16_t __x) |
| { return __gnu_cxx::__bfloat16_t(__builtin_rintf(__x)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| round(__gnu_cxx::__bfloat16_t __x) |
| { return __gnu_cxx::__bfloat16_t(__builtin_roundf(__x)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| scalbln(__gnu_cxx::__bfloat16_t __x, long __ex) |
| { return __gnu_cxx::__bfloat16_t(__builtin_scalblnf(__x, __ex)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| scalbn(__gnu_cxx::__bfloat16_t __x, int __ex) |
| { return __gnu_cxx::__bfloat16_t(__builtin_scalbnf(__x, __ex)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| tgamma(__gnu_cxx::__bfloat16_t __x) |
| { return __gnu_cxx::__bfloat16_t(__builtin_tgammaf(__x)); } |
| |
| constexpr __gnu_cxx::__bfloat16_t |
| trunc(__gnu_cxx::__bfloat16_t __x) |
| { return __gnu_cxx::__bfloat16_t(__builtin_truncf(__x)); } |
| #endif |
| |
| |
| #endif // _GLIBCXX_USE_C99_MATH_TR1 |
| #endif // C++11 |
| |
| #if __cplusplus >= 201703L |
| |
| // [c.math.hypot3], three-dimensional hypotenuse |
| #define __cpp_lib_hypot 201603L |
| |
| template<typename _Tp> |
| inline _Tp |
| __hypot3(_Tp __x, _Tp __y, _Tp __z) |
| { |
| __x = std::abs(__x); |
| __y = std::abs(__y); |
| __z = std::abs(__z); |
| if (_Tp __a = __x < __y ? __y < __z ? __z : __y : __x < __z ? __z : __x) |
| return __a * std::sqrt((__x / __a) * (__x / __a) |
| + (__y / __a) * (__y / __a) |
| + (__z / __a) * (__z / __a)); |
| else |
| return {}; |
| } |
| |
| inline float |
| hypot(float __x, float __y, float __z) |
| { return std::__hypot3<float>(__x, __y, __z); } |
| |
| inline double |
| hypot(double __x, double __y, double __z) |
| { return std::__hypot3<double>(__x, __y, __z); } |
| |
| inline long double |
| hypot(long double __x, long double __y, long double __z) |
| { return std::__hypot3<long double>(__x, __y, __z); } |
| |
| template<typename _Tp, typename _Up, typename _Vp> |
| __gnu_cxx::__promoted_t<_Tp, _Up, _Vp> |
| hypot(_Tp __x, _Up __y, _Vp __z) |
| { |
| using __type = __gnu_cxx::__promoted_t<_Tp, _Up, _Vp>; |
| return std::__hypot3<__type>(__x, __y, __z); |
| } |
| |
| #if defined(__STDCPP_FLOAT16_T__) && defined(_GLIBCXX_FLOAT_IS_IEEE_BINARY32) |
| inline _Float16 |
| hypot(_Float16 __x, _Float16 __y, _Float16 __z) |
| { return std::__hypot3<_Float16>(__x, __y, __z); } |
| #endif |
| |
| #if defined(__STDCPP_FLOAT32_T__) && defined(_GLIBCXX_FLOAT_IS_IEEE_BINARY32) |
| inline _Float32 |
| hypot(_Float32 __x, _Float32 __y, _Float32 __z) |
| { return std::__hypot3<_Float32>(__x, __y, __z); } |
| #endif |
| |
| #if defined(__STDCPP_FLOAT64_T__) && defined(_GLIBCXX_DOUBLE_IS_IEEE_BINARY64) |
| inline _Float64 |
| hypot(_Float64 __x, _Float64 __y, _Float64 __z) |
| { return std::__hypot3<_Float64>(__x, __y, __z); } |
| #endif |
| |
| #if defined(__STDCPP_FLOAT128_T__) \ |
| && (defined(_GLIBCXX_LDOUBLE_IS_IEEE_BINARY128) \ |
| || defined(_GLIBCXX_HAVE_FLOAT128_MATH)) |
| inline _Float128 |
| hypot(_Float128 __x, _Float128 __y, _Float128 __z) |
| { return std::__hypot3<_Float128>(__x, __y, __z); } |
| #endif |
| |
| #if defined(__STDCPP_BFLOAT16_T__) && defined(_GLIBCXX_FLOAT_IS_IEEE_BINARY32) |
| inline __gnu_cxx::__bfloat16_t |
| hypot(__gnu_cxx::__bfloat16_t __x, __gnu_cxx::__bfloat16_t __y, __gnu_cxx::__bfloat16_t __z) |
| { return std::__hypot3<__gnu_cxx::__bfloat16_t>(__x, __y, __z); } |
| #endif |
| |
| #endif // C++17 |
| |
| #if __cplusplus >= 202002L |
| // linear interpolation |
| # define __cpp_lib_interpolate 201902L |
| |
| template<typename _Fp> |
| constexpr _Fp |
| __lerp(_Fp __a, _Fp __b, _Fp __t) noexcept |
| { |
| if ((__a <= 0 && __b >= 0) || (__a >= 0 && __b <= 0)) |
| return __t * __b + (1 - __t) * __a; |
| |
| if (__t == 1) |
| return __b; // exact |
| |
| // Exact at __t=0, monotonic except near __t=1, |
| // bounded, determinate, and consistent: |
| const _Fp __x = __a + __t * (__b - __a); |
| return (__t > 1) == (__b > __a) |
| ? (__b < __x ? __x : __b) |
| : (__b > __x ? __x : __b); // monotonic near __t=1 |
| } |
| |
| constexpr float |
| lerp(float __a, float __b, float __t) noexcept |
| { return std::__lerp(__a, __b, __t); } |
| |
| constexpr double |
| lerp(double __a, double __b, double __t) noexcept |
| { return std::__lerp(__a, __b, __t); } |
| |
| constexpr long double |
| lerp(long double __a, long double __b, long double __t) noexcept |
| { return std::__lerp(__a, __b, __t); } |
| |
| template<typename _Tp, typename _Up, typename _Vp> |
| constexpr __gnu_cxx::__promoted_t<_Tp, _Up, _Vp> |
| lerp(_Tp __x, _Up __y, _Vp __z) noexcept |
| { |
| using __type = __gnu_cxx::__promoted_t<_Tp, _Up, _Vp>; |
| return std::__lerp<__type>(__x, __y, __z); |
| } |
| |
| #if defined(__STDCPP_FLOAT16_T__) && defined(_GLIBCXX_FLOAT_IS_IEEE_BINARY32) |
| inline _Float16 |
| lerp(_Float16 __x, _Float16 __y, _Float16 __z) noexcept |
| { return std::__lerp<_Float16>(__x, __y, __z); } |
| #endif |
| |
| #if defined(__STDCPP_FLOAT32_T__) && defined(_GLIBCXX_FLOAT_IS_IEEE_BINARY32) |
| inline _Float32 |
| lerp(_Float32 __x, _Float32 __y, _Float32 __z) noexcept |
| { return std::__lerp<_Float32>(__x, __y, __z); } |
| #endif |
| |
| #if defined(__STDCPP_FLOAT64_T__) && defined(_GLIBCXX_DOUBLE_IS_IEEE_BINARY64) |
| inline _Float64 |
| lerp(_Float64 __x, _Float64 __y, _Float64 __z) noexcept |
| { return std::__lerp<_Float64>(__x, __y, __z); } |
| #endif |
| |
| #if defined(__STDCPP_FLOAT128_T__) \ |
| && (defined(_GLIBCXX_LDOUBLE_IS_IEEE_BINARY128) \ |
| || defined(_GLIBCXX_HAVE_FLOAT128_MATH)) |
| inline _Float128 |
| lerp(_Float128 __x, _Float128 __y, _Float128 __z) noexcept |
| { return std::__lerp<_Float128>(__x, __y, __z); } |
| #endif |
| |
| #if defined(__STDCPP_BFLOAT16_T__) && defined(_GLIBCXX_FLOAT_IS_IEEE_BINARY32) |
| inline __gnu_cxx::__bfloat16_t |
| lerp(__gnu_cxx::__bfloat16_t __x, __gnu_cxx::__bfloat16_t __y, __gnu_cxx::__bfloat16_t __z) noexcept |
| { return std::__lerp<__gnu_cxx::__bfloat16_t>(__x, __y, __z); } |
| #endif |
| |
| #endif // C++20 |
| |
| _GLIBCXX_END_NAMESPACE_VERSION |
| } // namespace |
| |
| #if _GLIBCXX_USE_STD_SPEC_FUNCS |
| # include <bits/specfun.h> |
| #endif |
| |
| } // extern "C++" |
| |
| #endif |