// -*- C++ -*- C forwarding header. // Copyright (C) 1997-2021 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/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 _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 #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 #endif // _GLIBCXX_USE_C99_MATH_TR1 #endif // C++11 #if __cplusplus >= 201703L // [c.math.hypot3], three-dimensional hypotenuse #define __cpp_lib_hypot 201603 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); } #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); } #endif // C++20 _GLIBCXX_END_NAMESPACE_VERSION } // namespace #if _GLIBCXX_USE_STD_SPEC_FUNCS # include <bits/specfun.h> #endif } // extern "C++" #endif SIMPAN PERUBAHAN