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			592 lines
		
	
	
		
			14 KiB
		
	
	
	
		
			C++
		
	
	
	
			
		
		
	
	
			592 lines
		
	
	
		
			14 KiB
		
	
	
	
		
			C++
		
	
	
	
| // -*- C++ -*- C forwarding header.
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| 
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| // Copyright (C) 1997-2015 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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| 
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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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| 
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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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| 
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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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| 
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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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| //
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| // ISO C++ 14882: 26.5  C library
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| //
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| 
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| #ifndef _GLIBCXX_CMATH
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| #define _GLIBCXX_CMATH 1
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| 
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| #pragma GCC system_header
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| 
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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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| 
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| #include <math.h>
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| 
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| // Get rid of those macros defined in <math.h> in lieu of real functions.
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| #undef abs
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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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| 
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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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| 
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|   inline double
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|   abs(double __x)
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|   { return __builtin_fabs(__x); }
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| 
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|   inline float
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|   abs(float __x)
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|   { return __builtin_fabsf(__x); }
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| 
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|   inline long double
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|   abs(long double __x)
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|   { return __builtin_fabsl(__x); }
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| 
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|   template<typename _Tp>
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|     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
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| 					   double>::__type
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|     abs(_Tp __x)
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|     { return __builtin_fabs(__x); }
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| 
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|   using ::acos;
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| 
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|   inline float
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|   acos(float __x)
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|   { return __builtin_acosf(__x); }
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| 
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|   inline long double
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|   acos(long double __x)
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|   { return __builtin_acosl(__x); }
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| 
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|   template<typename _Tp>
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|     inline 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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| 
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|   using ::asin;
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| 
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|   inline float
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|   asin(float __x)
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|   { return __builtin_asinf(__x); }
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| 
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|   inline long double
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|   asin(long double __x)
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|   { return __builtin_asinl(__x); }
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| 
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|   template<typename _Tp>
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|     inline 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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| 
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|   using ::atan;
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| 
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|   inline float
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|   atan(float __x)
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|   { return __builtin_atanf(__x); }
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| 
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|   inline long double
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|   atan(long double __x)
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|   { return __builtin_atanl(__x); }
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| 
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|   template<typename _Tp>
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|     inline 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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| 
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|   using ::atan2;
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| 
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|   inline float
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|   atan2(float __y, float __x)
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|   { return __builtin_atan2f(__y, __x); }
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| 
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|   inline 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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| 
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|   template<typename _Tp, typename _Up>
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|     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value
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|     					   && __is_integer<_Up>::__value, 
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| 					   double>::__type
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|     atan2(_Tp __y, _Up __x)
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|     { return __builtin_atan2(__y, __x); }
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| 
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|   using ::ceil;
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| 
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|   inline float
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|   ceil(float __x)
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|   { return __builtin_ceilf(__x); }
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| 
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|   inline long double
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|   ceil(long double __x)
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|   { return __builtin_ceill(__x); }
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| 
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|   template<typename _Tp>
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|     inline 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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| 
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|   using ::cos;
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| 
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|   inline float
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|   cos(float __x)
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|   { return __builtin_cosf(__x); }
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| 
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|   inline long double
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|   cos(long double __x)
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|   { return __builtin_cosl(__x); }
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| 
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|   template<typename _Tp>
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|     inline 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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| 
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|   using ::cosh;
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| 
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|   inline float
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|   cosh(float __x)
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|   { return __builtin_coshf(__x); }
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| 
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|   inline long double
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|   cosh(long double __x)
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|   { return __builtin_coshl(__x); }
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| 
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|   template<typename _Tp>
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|     inline 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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| 
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|   using ::exp;
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| 
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|   inline float
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|   exp(float __x)
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|   { return __builtin_expf(__x); }
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| 
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|   inline long double
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|   exp(long double __x)
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|   { return __builtin_expl(__x); }
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| 
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|   template<typename _Tp>
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|     inline 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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| 
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|   using ::fabs;
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| 
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|   inline float
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|   fabs(float __x)
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|   { return __builtin_fabsf(__x); }
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| 
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|   inline long double
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|   fabs(long double __x)
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|   { return __builtin_fabsl(__x); }
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| 
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|   template<typename _Tp>
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|     inline 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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| 
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|   using ::floor;
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| 
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|   inline float
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|   floor(float __x)
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|   { return __builtin_floorf(__x); }
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| 
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|   inline long double
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|   floor(long double __x)
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|   { return __builtin_floorl(__x); }
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| 
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|   template<typename _Tp>
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|     inline 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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| 
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|   using ::fmod;
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| 
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|   inline float
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|   fmod(float __x, float __y)
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|   { return __builtin_fmodf(__x, __y); }
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| 
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|   inline 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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| 
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|   template<typename _Tp, typename _Up>
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|     inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value
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|     					   && __is_integer<_Up>::__value, 
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| 					   double>::__type
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|     fmod(_Tp __x, _Up __y)
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|     { return __builtin_fmod(__x, __y); }
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| 
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|   using ::frexp;
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| 
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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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| 
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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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| 
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|   template<typename _Tp>
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|     inline 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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| 
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|   using ::ldexp;
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| 
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|   inline float
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|   ldexp(float __x, int __exp)
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|   { return __builtin_ldexpf(__x, __exp); }
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| 
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|   inline 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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| 
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|   template<typename _Tp>
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|     inline 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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| 
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|   using ::log;
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| 
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|   inline float
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|   log(float __x)
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|   { return __builtin_logf(__x); }
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| 
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|   inline long double
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|   log(long double __x)
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|   { return __builtin_logl(__x); }
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| 
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|   template<typename _Tp>
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|     inline 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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| 
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|   using ::log10;
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| 
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|   inline float
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|   log10(float __x)
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|   { return __builtin_log10f(__x); }
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| 
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|   inline long double
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|   log10(long double __x)
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|   { return __builtin_log10l(__x); }
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| 
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|   template<typename _Tp>
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|     inline 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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| 
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|   using ::modf;
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| 
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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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| 
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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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| 
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|   using ::pow;
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| 
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|   inline float
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|   pow(float __x, float __y)
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|   { return __builtin_powf(__x, __y); }
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| 
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|   inline 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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| 
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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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| 
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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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| 
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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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| 
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|   using ::sin;
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| 
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|   inline float
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|   sin(float __x)
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|   { return __builtin_sinf(__x); }
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| 
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|   inline long double
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|   sin(long double __x)
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|   { return __builtin_sinl(__x); }
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| 
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|   template<typename _Tp>
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|     inline 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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| 
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|   using ::sinh;
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| 
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|   inline float
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|   sinh(float __x)
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|   { return __builtin_sinhf(__x); }
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| 
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|   inline long double
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|   sinh(long double __x)
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|   { return __builtin_sinhl(__x); }
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| 
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|   template<typename _Tp>
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|     inline 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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| 
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|   using ::sqrt;
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| 
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|   inline float
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|   sqrt(float __x)
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|   { return __builtin_sqrtf(__x); }
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| 
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|   inline long double
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|   sqrt(long double __x)
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|   { return __builtin_sqrtl(__x); }
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| 
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|   template<typename _Tp>
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|     inline 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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| 
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|   using ::tan;
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| 
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|   inline float
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|   tan(float __x)
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|   { return __builtin_tanf(__x); }
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| 
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|   inline long double
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|   tan(long double __x)
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|   { return __builtin_tanl(__x); }
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| 
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|   template<typename _Tp>
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|     inline 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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| 
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|   using ::tanh;
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| 
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|   inline float
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|   tanh(float __x)
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|   { return __builtin_tanhf(__x); }
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| 
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|   inline long double
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|   tanh(long double __x)
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|   { return __builtin_tanhl(__x); }
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| 
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|   template<typename _Tp>
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|     inline 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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| 
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| _GLIBCXX_END_NAMESPACE_VERSION
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| } // namespace
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| 
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| #if _GLIBCXX_USE_C99_MATH
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| #if !_GLIBCXX_USE_C99_FP_MACROS_DYNAMIC
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| 
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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
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| #undef isunordered
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| 
 | |
| namespace std _GLIBCXX_VISIBILITY(default)
 | |
| {
 | |
| _GLIBCXX_BEGIN_NAMESPACE_VERSION
 | |
| 
 | |
|   template<typename _Tp>
 | |
|     inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
 | |
| 					   int>::__type
 | |
|     fpclassify(_Tp __f)
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|     {
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|       typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
 | |
|       return __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL,
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| 				  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));
 | |
|     }
 | |
| 
 | |
| _GLIBCXX_END_NAMESPACE_VERSION
 | |
| } // namespace std
 | |
| 
 | |
| #endif /* _GLIBCXX_USE_C99_FP_MACROS_DYNAMIC */
 | |
| #endif
 | |
| 
 | |
| #endif
 |