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1941 lines
48 KiB
1941 lines
48 KiB
// -*- C++ -*- C forwarding header.
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// Copyright (C) 1997-2021 Free Software Foundation, Inc.
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//
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// This file is part of the GNU ISO C++ Library. This library is free
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// software; you can redistribute it and/or modify it under the
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// terms of the GNU General Public License as published by the
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// Free Software Foundation; either version 3, or (at your option)
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// any later version.
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// This library is distributed in the hope that it will be useful,
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// but WITHOUT ANY WARRANTY; without even the implied warranty of
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// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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// GNU General Public License for more details.
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// Under Section 7 of GPL version 3, you are granted additional
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// permissions described in the GCC Runtime Library Exception, version
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// 3.1, as published by the Free Software Foundation.
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// You should have received a copy of the GNU General Public License and
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// a copy of the GCC Runtime Library Exception along with this program;
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// see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
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// <http://www.gnu.org/licenses/>.
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/** @file include/cmath
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* This is a Standard C++ Library file. You should @c \#include this file
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* in your programs, rather than any of the @a *.h implementation files.
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*
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* This is the C++ version of the Standard C Library header @c math.h,
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* and its contents are (mostly) the same as that header, but are all
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* contained in the namespace @c std (except for names which are defined
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* as macros in C).
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*/
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//
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// ISO C++ 14882: 26.5 C library
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//
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#pragma GCC system_header
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#include <bits/c++config.h>
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#include <bits/cpp_type_traits.h>
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#include <ext/type_traits.h>
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#define _GLIBCXX_INCLUDE_NEXT_C_HEADERS
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#include_next <math.h>
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#undef _GLIBCXX_INCLUDE_NEXT_C_HEADERS
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#include <bits/std_abs.h>
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#ifndef _GLIBCXX_CMATH
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#define _GLIBCXX_CMATH 1
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// Get rid of those macros defined in <math.h> in lieu of real functions.
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#undef div
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#undef acos
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#undef asin
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#undef atan
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#undef atan2
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#undef ceil
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#undef cos
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#undef cosh
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#undef exp
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#undef fabs
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#undef floor
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#undef fmod
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#undef frexp
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#undef ldexp
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#undef log
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#undef log10
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#undef modf
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#undef pow
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#undef sin
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#undef sinh
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#undef sqrt
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#undef tan
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#undef tanh
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extern "C++"
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{
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namespace std _GLIBCXX_VISIBILITY(default)
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{
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_GLIBCXX_BEGIN_NAMESPACE_VERSION
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using ::acos;
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#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
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inline _GLIBCXX_CONSTEXPR float
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acos(float __x)
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{ return __builtin_acosf(__x); }
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inline _GLIBCXX_CONSTEXPR long double
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acos(long double __x)
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{ return __builtin_acosl(__x); }
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#endif
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template<typename _Tp>
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inline _GLIBCXX_CONSTEXPR
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typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
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double>::__type
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acos(_Tp __x)
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{ return __builtin_acos(__x); }
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using ::asin;
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#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
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inline _GLIBCXX_CONSTEXPR float
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asin(float __x)
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{ return __builtin_asinf(__x); }
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inline _GLIBCXX_CONSTEXPR long double
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asin(long double __x)
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{ return __builtin_asinl(__x); }
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#endif
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template<typename _Tp>
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inline _GLIBCXX_CONSTEXPR
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typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
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double>::__type
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asin(_Tp __x)
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{ return __builtin_asin(__x); }
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using ::atan;
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#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
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inline _GLIBCXX_CONSTEXPR float
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atan(float __x)
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{ return __builtin_atanf(__x); }
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inline _GLIBCXX_CONSTEXPR long double
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atan(long double __x)
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{ return __builtin_atanl(__x); }
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#endif
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template<typename _Tp>
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inline _GLIBCXX_CONSTEXPR
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typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
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double>::__type
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atan(_Tp __x)
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{ return __builtin_atan(__x); }
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using ::atan2;
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#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
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inline _GLIBCXX_CONSTEXPR float
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atan2(float __y, float __x)
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{ return __builtin_atan2f(__y, __x); }
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inline _GLIBCXX_CONSTEXPR long double
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atan2(long double __y, long double __x)
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{ return __builtin_atan2l(__y, __x); }
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#endif
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template<typename _Tp, typename _Up>
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inline _GLIBCXX_CONSTEXPR
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typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
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atan2(_Tp __y, _Up __x)
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{
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typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
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return atan2(__type(__y), __type(__x));
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}
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using ::ceil;
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#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
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inline _GLIBCXX_CONSTEXPR float
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ceil(float __x)
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{ return __builtin_ceilf(__x); }
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inline _GLIBCXX_CONSTEXPR long double
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ceil(long double __x)
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{ return __builtin_ceill(__x); }
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#endif
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template<typename _Tp>
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inline _GLIBCXX_CONSTEXPR
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typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
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double>::__type
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ceil(_Tp __x)
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{ return __builtin_ceil(__x); }
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using ::cos;
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#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
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inline _GLIBCXX_CONSTEXPR float
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cos(float __x)
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{ return __builtin_cosf(__x); }
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inline _GLIBCXX_CONSTEXPR long double
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cos(long double __x)
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{ return __builtin_cosl(__x); }
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#endif
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template<typename _Tp>
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inline _GLIBCXX_CONSTEXPR
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typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
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double>::__type
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cos(_Tp __x)
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{ return __builtin_cos(__x); }
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using ::cosh;
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#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
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inline _GLIBCXX_CONSTEXPR float
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cosh(float __x)
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{ return __builtin_coshf(__x); }
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inline _GLIBCXX_CONSTEXPR long double
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cosh(long double __x)
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{ return __builtin_coshl(__x); }
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#endif
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template<typename _Tp>
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inline _GLIBCXX_CONSTEXPR
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typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
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double>::__type
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cosh(_Tp __x)
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{ return __builtin_cosh(__x); }
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using ::exp;
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#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
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inline _GLIBCXX_CONSTEXPR float
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exp(float __x)
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{ return __builtin_expf(__x); }
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inline _GLIBCXX_CONSTEXPR long double
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exp(long double __x)
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{ return __builtin_expl(__x); }
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#endif
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template<typename _Tp>
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inline _GLIBCXX_CONSTEXPR
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typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
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double>::__type
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exp(_Tp __x)
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{ return __builtin_exp(__x); }
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using ::fabs;
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#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
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inline _GLIBCXX_CONSTEXPR float
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fabs(float __x)
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{ return __builtin_fabsf(__x); }
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inline _GLIBCXX_CONSTEXPR long double
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fabs(long double __x)
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{ return __builtin_fabsl(__x); }
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#endif
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template<typename _Tp>
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inline _GLIBCXX_CONSTEXPR
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typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
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double>::__type
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fabs(_Tp __x)
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{ return __builtin_fabs(__x); }
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using ::floor;
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#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
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inline _GLIBCXX_CONSTEXPR float
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floor(float __x)
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{ return __builtin_floorf(__x); }
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inline _GLIBCXX_CONSTEXPR long double
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floor(long double __x)
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{ return __builtin_floorl(__x); }
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#endif
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template<typename _Tp>
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inline _GLIBCXX_CONSTEXPR
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typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
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double>::__type
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floor(_Tp __x)
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{ return __builtin_floor(__x); }
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using ::fmod;
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#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
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inline _GLIBCXX_CONSTEXPR float
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fmod(float __x, float __y)
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{ return __builtin_fmodf(__x, __y); }
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inline _GLIBCXX_CONSTEXPR long double
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fmod(long double __x, long double __y)
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{ return __builtin_fmodl(__x, __y); }
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#endif
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template<typename _Tp, typename _Up>
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inline _GLIBCXX_CONSTEXPR
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typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
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fmod(_Tp __x, _Up __y)
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{
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typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
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return fmod(__type(__x), __type(__y));
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}
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using ::frexp;
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#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
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inline float
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frexp(float __x, int* __exp)
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{ return __builtin_frexpf(__x, __exp); }
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inline long double
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frexp(long double __x, int* __exp)
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{ return __builtin_frexpl(__x, __exp); }
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#endif
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template<typename _Tp>
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inline _GLIBCXX_CONSTEXPR
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typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
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double>::__type
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frexp(_Tp __x, int* __exp)
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{ return __builtin_frexp(__x, __exp); }
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using ::ldexp;
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#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
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inline _GLIBCXX_CONSTEXPR float
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ldexp(float __x, int __exp)
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{ return __builtin_ldexpf(__x, __exp); }
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inline _GLIBCXX_CONSTEXPR long double
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ldexp(long double __x, int __exp)
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{ return __builtin_ldexpl(__x, __exp); }
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#endif
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template<typename _Tp>
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inline _GLIBCXX_CONSTEXPR
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typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
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double>::__type
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ldexp(_Tp __x, int __exp)
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{ return __builtin_ldexp(__x, __exp); }
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using ::log;
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#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
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inline _GLIBCXX_CONSTEXPR float
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log(float __x)
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{ return __builtin_logf(__x); }
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inline _GLIBCXX_CONSTEXPR long double
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log(long double __x)
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{ return __builtin_logl(__x); }
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#endif
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template<typename _Tp>
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inline _GLIBCXX_CONSTEXPR
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typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
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double>::__type
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log(_Tp __x)
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{ return __builtin_log(__x); }
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using ::log10;
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#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
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inline _GLIBCXX_CONSTEXPR float
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log10(float __x)
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{ return __builtin_log10f(__x); }
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inline _GLIBCXX_CONSTEXPR long double
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log10(long double __x)
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{ return __builtin_log10l(__x); }
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#endif
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template<typename _Tp>
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inline _GLIBCXX_CONSTEXPR
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typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
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double>::__type
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log10(_Tp __x)
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{ return __builtin_log10(__x); }
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using ::modf;
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#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
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inline float
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modf(float __x, float* __iptr)
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{ return __builtin_modff(__x, __iptr); }
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inline long double
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modf(long double __x, long double* __iptr)
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{ return __builtin_modfl(__x, __iptr); }
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#endif
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using ::pow;
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#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
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inline _GLIBCXX_CONSTEXPR float
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pow(float __x, float __y)
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{ return __builtin_powf(__x, __y); }
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inline _GLIBCXX_CONSTEXPR long double
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pow(long double __x, long double __y)
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{ return __builtin_powl(__x, __y); }
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#if __cplusplus < 201103L
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// _GLIBCXX_RESOLVE_LIB_DEFECTS
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// DR 550. What should the return type of pow(float,int) be?
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inline double
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pow(double __x, int __i)
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{ return __builtin_powi(__x, __i); }
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inline float
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pow(float __x, int __n)
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{ return __builtin_powif(__x, __n); }
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inline long double
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pow(long double __x, int __n)
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{ return __builtin_powil(__x, __n); }
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#endif
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#endif
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template<typename _Tp, typename _Up>
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inline _GLIBCXX_CONSTEXPR
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typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
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pow(_Tp __x, _Up __y)
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{
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typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
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return pow(__type(__x), __type(__y));
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}
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using ::sin;
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#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
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inline _GLIBCXX_CONSTEXPR float
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sin(float __x)
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{ return __builtin_sinf(__x); }
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inline _GLIBCXX_CONSTEXPR long double
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sin(long double __x)
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{ return __builtin_sinl(__x); }
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#endif
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template<typename _Tp>
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inline _GLIBCXX_CONSTEXPR
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typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
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double>::__type
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sin(_Tp __x)
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{ return __builtin_sin(__x); }
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using ::sinh;
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#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
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inline _GLIBCXX_CONSTEXPR float
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sinh(float __x)
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{ return __builtin_sinhf(__x); }
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inline _GLIBCXX_CONSTEXPR long double
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sinh(long double __x)
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{ return __builtin_sinhl(__x); }
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#endif
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template<typename _Tp>
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inline _GLIBCXX_CONSTEXPR
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typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
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double>::__type
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sinh(_Tp __x)
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{ return __builtin_sinh(__x); }
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using ::sqrt;
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#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
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inline _GLIBCXX_CONSTEXPR float
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sqrt(float __x)
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{ return __builtin_sqrtf(__x); }
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inline _GLIBCXX_CONSTEXPR long double
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sqrt(long double __x)
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{ return __builtin_sqrtl(__x); }
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#endif
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template<typename _Tp>
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inline _GLIBCXX_CONSTEXPR
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typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
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double>::__type
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sqrt(_Tp __x)
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{ return __builtin_sqrt(__x); }
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using ::tan;
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#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
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inline _GLIBCXX_CONSTEXPR float
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tan(float __x)
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{ return __builtin_tanf(__x); }
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inline _GLIBCXX_CONSTEXPR long double
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tan(long double __x)
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{ return __builtin_tanl(__x); }
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#endif
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template<typename _Tp>
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inline _GLIBCXX_CONSTEXPR
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typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
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double>::__type
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tan(_Tp __x)
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{ return __builtin_tan(__x); }
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using ::tanh;
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#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
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inline _GLIBCXX_CONSTEXPR float
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tanh(float __x)
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{ return __builtin_tanhf(__x); }
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inline _GLIBCXX_CONSTEXPR long double
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tanh(long double __x)
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{ return __builtin_tanhl(__x); }
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#endif
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template<typename _Tp>
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inline _GLIBCXX_CONSTEXPR
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typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
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double>::__type
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tanh(_Tp __x)
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{ return __builtin_tanh(__x); }
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#if _GLIBCXX_USE_C99_MATH
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#if !_GLIBCXX_USE_C99_FP_MACROS_DYNAMIC
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// These are possible macros imported from C99-land.
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#undef fpclassify
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#undef isfinite
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#undef isinf
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#undef isnan
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#undef isnormal
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#undef signbit
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#undef isgreater
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#undef isgreaterequal
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#undef isless
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#undef islessequal
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#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
|
|
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#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT
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template<typename _Tp>
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constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
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double>::__type
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logb(_Tp __x)
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{ return __builtin_logb(__x); }
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#endif
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#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
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constexpr long
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lrint(float __x)
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{ return __builtin_lrintf(__x); }
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constexpr long
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lrint(long double __x)
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{ return __builtin_lrintl(__x); }
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#endif
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#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT
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template<typename _Tp>
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constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
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long>::__type
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lrint(_Tp __x)
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{ return __builtin_lrint(__x); }
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#endif
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#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
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constexpr long
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lround(float __x)
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{ return __builtin_lroundf(__x); }
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constexpr long
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lround(long double __x)
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{ return __builtin_lroundl(__x); }
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#endif
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#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT
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template<typename _Tp>
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constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
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long>::__type
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lround(_Tp __x)
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{ return __builtin_lround(__x); }
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#endif
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#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
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constexpr float
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nearbyint(float __x)
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{ return __builtin_nearbyintf(__x); }
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constexpr long double
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nearbyint(long double __x)
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{ return __builtin_nearbyintl(__x); }
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#endif
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#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT
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template<typename _Tp>
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constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
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double>::__type
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nearbyint(_Tp __x)
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{ return __builtin_nearbyint(__x); }
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#endif
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#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
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constexpr float
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nextafter(float __x, float __y)
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{ return __builtin_nextafterf(__x, __y); }
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constexpr long double
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nextafter(long double __x, long double __y)
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{ return __builtin_nextafterl(__x, __y); }
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#endif
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#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT
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template<typename _Tp, typename _Up>
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constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
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nextafter(_Tp __x, _Up __y)
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{
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typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
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return nextafter(__type(__x), __type(__y));
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}
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#endif
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#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
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constexpr float
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nexttoward(float __x, long double __y)
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{ return __builtin_nexttowardf(__x, __y); }
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constexpr long double
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nexttoward(long double __x, long double __y)
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{ return __builtin_nexttowardl(__x, __y); }
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#endif
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#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT
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template<typename _Tp>
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constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
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double>::__type
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nexttoward(_Tp __x, long double __y)
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{ return __builtin_nexttoward(__x, __y); }
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#endif
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#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
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constexpr float
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remainder(float __x, float __y)
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{ return __builtin_remainderf(__x, __y); }
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constexpr long double
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remainder(long double __x, long double __y)
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{ return __builtin_remainderl(__x, __y); }
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#endif
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#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT
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template<typename _Tp, typename _Up>
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constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
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remainder(_Tp __x, _Up __y)
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{
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typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
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return remainder(__type(__x), __type(__y));
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}
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#endif
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#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
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inline float
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remquo(float __x, float __y, int* __pquo)
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{ return __builtin_remquof(__x, __y, __pquo); }
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inline long double
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remquo(long double __x, long double __y, int* __pquo)
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{ return __builtin_remquol(__x, __y, __pquo); }
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#endif
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#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT
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template<typename _Tp, typename _Up>
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inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
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remquo(_Tp __x, _Up __y, int* __pquo)
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{
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typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
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return remquo(__type(__x), __type(__y), __pquo);
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}
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#endif
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#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
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constexpr float
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rint(float __x)
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{ return __builtin_rintf(__x); }
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constexpr long double
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rint(long double __x)
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{ return __builtin_rintl(__x); }
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#endif
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#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT
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template<typename _Tp>
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constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
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double>::__type
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rint(_Tp __x)
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{ return __builtin_rint(__x); }
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#endif
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#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
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constexpr float
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round(float __x)
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{ return __builtin_roundf(__x); }
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constexpr long double
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round(long double __x)
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{ return __builtin_roundl(__x); }
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#endif
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#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT
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template<typename _Tp>
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constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
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double>::__type
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round(_Tp __x)
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{ return __builtin_round(__x); }
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#endif
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#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
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constexpr float
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scalbln(float __x, long __ex)
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{ return __builtin_scalblnf(__x, __ex); }
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constexpr long double
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scalbln(long double __x, long __ex)
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{ return __builtin_scalblnl(__x, __ex); }
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#endif
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#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT
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template<typename _Tp>
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constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
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double>::__type
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scalbln(_Tp __x, long __ex)
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{ return __builtin_scalbln(__x, __ex); }
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#endif
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#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
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constexpr float
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scalbn(float __x, int __ex)
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{ return __builtin_scalbnf(__x, __ex); }
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constexpr long double
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scalbn(long double __x, int __ex)
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{ return __builtin_scalbnl(__x, __ex); }
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#endif
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#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT
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template<typename _Tp>
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constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
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double>::__type
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scalbn(_Tp __x, int __ex)
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{ return __builtin_scalbn(__x, __ex); }
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#endif
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#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
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constexpr float
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tgamma(float __x)
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{ return __builtin_tgammaf(__x); }
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constexpr long double
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tgamma(long double __x)
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{ return __builtin_tgammal(__x); }
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#endif
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#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT
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template<typename _Tp>
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constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
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double>::__type
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tgamma(_Tp __x)
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{ return __builtin_tgamma(__x); }
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#endif
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#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_FP
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constexpr float
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trunc(float __x)
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{ return __builtin_truncf(__x); }
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constexpr long double
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trunc(long double __x)
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{ return __builtin_truncl(__x); }
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#endif
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#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT
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template<typename _Tp>
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constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
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double>::__type
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trunc(_Tp __x)
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{ return __builtin_trunc(__x); }
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#endif
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#endif // _GLIBCXX_USE_C99_MATH_TR1
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#endif // C++11
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#if __cplusplus >= 201703L
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// [c.math.hypot3], three-dimensional hypotenuse
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#define __cpp_lib_hypot 201603
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template<typename _Tp>
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inline _Tp
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__hypot3(_Tp __x, _Tp __y, _Tp __z)
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{
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__x = std::abs(__x);
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__y = std::abs(__y);
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__z = std::abs(__z);
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if (_Tp __a = __x < __y ? __y < __z ? __z : __y : __x < __z ? __z : __x)
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return __a * std::sqrt((__x / __a) * (__x / __a)
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+ (__y / __a) * (__y / __a)
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+ (__z / __a) * (__z / __a));
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else
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return {};
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}
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inline float
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hypot(float __x, float __y, float __z)
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{ return std::__hypot3<float>(__x, __y, __z); }
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inline double
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hypot(double __x, double __y, double __z)
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{ return std::__hypot3<double>(__x, __y, __z); }
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inline long double
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hypot(long double __x, long double __y, long double __z)
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{ return std::__hypot3<long double>(__x, __y, __z); }
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template<typename _Tp, typename _Up, typename _Vp>
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__gnu_cxx::__promoted_t<_Tp, _Up, _Vp>
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hypot(_Tp __x, _Up __y, _Vp __z)
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{
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using __type = __gnu_cxx::__promoted_t<_Tp, _Up, _Vp>;
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return std::__hypot3<__type>(__x, __y, __z);
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}
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#endif // C++17
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#if __cplusplus >= 202002L
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// linear interpolation
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# define __cpp_lib_interpolate 201902L
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template<typename _Fp>
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constexpr _Fp
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__lerp(_Fp __a, _Fp __b, _Fp __t) noexcept
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{
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if ((__a <= 0 && __b >= 0) || (__a >= 0 && __b <= 0))
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return __t * __b + (1 - __t) * __a;
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if (__t == 1)
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return __b; // exact
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// Exact at __t=0, monotonic except near __t=1,
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// bounded, determinate, and consistent:
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const _Fp __x = __a + __t * (__b - __a);
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return (__t > 1) == (__b > __a)
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? (__b < __x ? __x : __b)
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: (__b > __x ? __x : __b); // monotonic near __t=1
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}
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constexpr float
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lerp(float __a, float __b, float __t) noexcept
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{ return std::__lerp(__a, __b, __t); }
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constexpr double
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lerp(double __a, double __b, double __t) noexcept
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{ return std::__lerp(__a, __b, __t); }
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constexpr long double
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lerp(long double __a, long double __b, long double __t) noexcept
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{ return std::__lerp(__a, __b, __t); }
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template<typename _Tp, typename _Up, typename _Vp>
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constexpr __gnu_cxx::__promoted_t<_Tp, _Up, _Vp>
|
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lerp(_Tp __x, _Up __y, _Vp __z) noexcept
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{
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using __type = __gnu_cxx::__promoted_t<_Tp, _Up, _Vp>;
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return std::__lerp<__type>(__x, __y, __z);
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}
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#endif // C++20
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_GLIBCXX_END_NAMESPACE_VERSION
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} // namespace
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#if _GLIBCXX_USE_STD_SPEC_FUNCS
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# include <bits/specfun.h>
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#endif
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} // extern "C++"
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#endif
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