747 lines
17 KiB
C++
747 lines
17 KiB
C++
// -*- C++ -*- C forwarding header.
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// Copyright (C) 1997, 1998, 1999, 2000, 2001, 2002, 2003
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// 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 2, 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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// You should have received a copy of the GNU General Public License along
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// with this library; see the file COPYING. If not, write to the Free
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// Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307,
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// USA.
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// As a special exception, you may use this file as part of a free software
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// library without restriction. Specifically, if other files instantiate
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// templates or use macros or inline functions from this file, or you compile
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// this file and link it with other files to produce an executable, this
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// file does not by itself cause the resulting executable to be covered by
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// the GNU General Public License. This exception does not however
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// invalidate any other reasons why the executable file might be covered by
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// the GNU General Public License.
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//
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// ISO C++ 14882: 26.5 C library
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//
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/** @file 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 "*.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.
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*/
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#ifndef _CPP_CMATH
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#define _CPP_CMATH 1
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#pragma GCC system_header
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#include <bits/c++config.h>
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#include <math.h>
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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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// ...and in the darkness bind them...
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namespace __gnu_cxx
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{
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namespace __c99_binding
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{
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#if _GLIBCPP_USE_C99_FLOAT_TRANSCENDENTALS_CHECK || \
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_GLIBCPP_USE_C99_FLOAT_TRANSCENDENTALS_DYNAMIC
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extern "C" float (acosf)(float);
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extern "C" float (asinf)(float);
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extern "C" float (atanf)(float);
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extern "C" float (atan2f)(float, float);
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extern "C" float (ceilf)(float);
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extern "C" float (coshf)(float);
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extern "C" float (expf)(float);
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extern "C" float (floorf)(float);
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extern "C" float (fmodf)(float, float);
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extern "C" float (frexpf)(float, int*);
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extern "C" float (ldexpf)(float, int);
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extern "C" float (logf)(float);
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extern "C" float (log10f)(float);
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extern "C" float (modff)(float, float*);
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extern "C" float (powf)(float, float);
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extern "C" float (sinhf)(float);
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extern "C" float (tanf)(float);
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extern "C" float (tanhf)(float);
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#endif
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#if !_GLIBCPP_USE_C99_FLOAT_TRANSCENDENTALS_DYNAMIC
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#if _GLIBCPP_HAVE_ACOSF
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using ::acosf;
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#endif
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#if _GLIBCPP_HAVE_ASINF
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using ::asinf;
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#endif
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#if _GLIBCPP_HAVE_ATANF
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using ::atanf;
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#endif
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#if _GLIBCPP_HAVE_ATAN2F
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using ::atan2f;
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#endif
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#if _GLIBCPP_HAVE_CEILF
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using ::ceilf;
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#endif
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#if _GLIBCPP_HAVE_COSHF
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using ::coshf;
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#endif
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#if _GLIBCPP_HAVE_EXPF
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using ::expf;
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#endif
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#if _GLIBCPP_HAVE_FLOORF
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using ::floorf;
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#endif
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#if _GLIBCPP_HAVE_FMODF
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using ::fmodf;
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#endif
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#if _GLIBCPP_HAVE_FREXPF
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using ::frexpf;
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#endif
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#if _GLIBCPP_HAVE_LDEXPF
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using ::ldexpf;
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#endif
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#if _GLIBCPP_HAVE_LOGF
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using ::logf;
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#endif
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#if _GLIBCPP_HAVE_LOG10F
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using ::log10f;
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#endif
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#if _GLIBCPP_HAVE_MODFF
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using ::modff;
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#endif
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#if _GLIBCPP_HAVE_POWF
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using ::powf;
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#endif
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#if _GLIBCPP_HAVE_SINHF
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using ::sinhf;
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#endif
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#if _GLIBCPP_HAVE_TANF
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using ::tanf;
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#endif
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#if _GLIBCPP_HAVE_TANHF
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using ::tanhf;
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#endif
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#endif /* _GLIBCPP_USE_C99_FLOAT_TRANSCENDENTALS_DYNAMIC */
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}
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}
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namespace std
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{
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// Forward declaration of a helper function. This really should be
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// an `exported' forward declaration.
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template<typename _Tp> _Tp __cmath_power(_Tp, unsigned int);
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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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inline float
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abs(float __x)
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{ return __builtin_fabsf(__x); }
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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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#if _GLIBCPP_HAVE_ACOSF
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inline float
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acos(float __x) { return __gnu_cxx::__c99_binding::acosf(__x); }
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#else
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inline float
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acos(float __x) { return ::acos(static_cast<double>(__x)); }
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#endif
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using ::acos;
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#if _GLIBCPP_HAVE_ACOSL
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inline long double
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acos(long double __x) { return ::acosl(__x); }
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#else
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inline long double
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acos(long double __x) { return ::acos(static_cast<double>(__x)); }
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#endif
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using ::asin;
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#if _GLIBCPP_HAVE_ASINF
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inline float
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asin(float __x) { return __gnu_cxx::__c99_binding::asinf(__x); }
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#else
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inline float
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asin(float __x) { return ::asin(static_cast<double>(__x)); }
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#endif
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#if _GLIBCPP_HAVE_ASINL
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inline long double
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asin(long double __x) { return ::asinl(__x); }
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#else
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inline long double
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asin(long double __x) { return ::asin(static_cast<double>(__x)); }
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#endif
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using ::atan;
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#if _GLIBCPP_HAVE_ATANF
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inline float
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atan(float __x) { return __gnu_cxx::__c99_binding::atanf(__x); }
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#else
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inline float
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atan(float __x) { return ::atan(static_cast<double>(__x)); }
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#endif
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#if _GLIBCPP_HAVE_ATANL
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inline long double
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atan(long double __x) { return ::atanl(__x); }
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#else
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inline long double
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atan(long double __x) { return ::atan(static_cast<double>(__x)); }
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#endif
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using ::atan2;
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#if _GLIBCPP_HAVE_ATAN2F
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inline float
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atan2(float __y, float __x) { return __gnu_cxx::__c99_binding::atan2f(__y, __x); }
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#else
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inline float
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atan2(float __y, float __x)
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{ return ::atan2(static_cast<double>(__y), static_cast<double>(__x)); }
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#endif
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#if _GLIBCPP_HAVE_ATAN2L
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inline long double
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atan2(long double __y, long double __x) { return ::atan2l(__y, __x); }
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#else
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inline long double
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atan2(long double __y, long double __x)
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{ return ::atan2(static_cast<double>(__y), static_cast<double>(__x)); }
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#endif
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using ::ceil;
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#if _GLIBCPP_HAVE_CEILF
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inline float
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ceil(float __x) { return __gnu_cxx::__c99_binding::ceilf(__x); }
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#else
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inline float
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ceil(float __x) { return ::ceil(static_cast<double>(__x)); }
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#endif
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#if _GLIBCPP_HAVE_CEILL
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inline long double
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ceil(long double __x) { return ::ceill(__x); }
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#else
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inline long double
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ceil(long double __x) { return ::ceil(static_cast<double>(__x)); }
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#endif
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using ::cos;
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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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inline long double
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cos(long double __x)
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{ return __builtin_cosl(__x); }
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using ::cosh;
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#if _GLIBCPP_HAVE_COSHF
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inline float
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cosh(float __x) { return __gnu_cxx::__c99_binding::coshf(__x); }
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#else
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inline float
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cosh(float __x) { return ::cosh(static_cast<double>(__x)); }
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#endif
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#if _GLIBCPP_HAVE_COSHL
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inline long double
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cosh(long double __x) { return ::coshl(__x); }
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#else
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inline long double
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cosh(long double __x) { return ::cosh(static_cast<double>(__x)); }
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#endif
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using ::exp;
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#if _GLIBCPP_HAVE_EXPF
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inline float
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exp(float __x) { return __gnu_cxx::__c99_binding::expf(__x); }
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#else
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inline float
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exp(float __x) { return ::exp(static_cast<double>(__x)); }
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#endif
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#if _GLIBCPP_HAVE_EXPL
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inline long double
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exp(long double __x) { return ::expl(__x); }
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#else
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inline long double
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exp(long double __x) { return ::exp(static_cast<double>(__x)); }
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#endif
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using ::fabs;
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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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inline long double
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fabs(long double __x)
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{ return __builtin_fabsl(__x); }
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using ::floor;
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#if _GLIBCPP_HAVE_FLOORF
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inline float
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floor(float __x) { return __gnu_cxx::__c99_binding::floorf(__x); }
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#else
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inline float
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floor(float __x) { return ::floor(static_cast<double>(__x)); }
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#endif
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#if _GLIBCPP_HAVE_FLOORL
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inline long double
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floor(long double __x) { return ::floorl(__x); }
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#else
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inline long double
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floor(long double __x) { return ::floor(static_cast<double>(__x)); }
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#endif
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using ::fmod;
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#if _GLIBCPP_HAVE_FMODF
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inline float
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fmod(float __x, float __y) { return __gnu_cxx::__c99_binding::fmodf(__x, __y); }
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#else
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inline float
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fmod(float __x, float __y)
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{ return ::fmod(static_cast<double>(__x), static_cast<double>(__y)); }
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#endif
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#if _GLIBCPP_HAVE_FMODL
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inline long double
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fmod(long double __x, long double __y) { return ::fmodl(__x, __y); }
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#else
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inline long double
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fmod(long double __x, long double __y)
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{ return ::fmod(static_cast<double>(__x), static_cast<double>(__y)); }
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#endif
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using ::frexp;
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#if _GLIBCPP_HAVE_FREXPF
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inline float
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frexp(float __x, int* __exp) { return __gnu_cxx::__c99_binding::frexpf(__x, __exp); }
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#else
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inline float
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frexp(float __x, int* __exp) { return ::frexp(__x, __exp); }
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#endif
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#if _GLIBCPP_HAVE_FREXPL
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inline long double
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frexp(long double __x, int* __exp) { return ::frexpl(__x, __exp); }
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#else
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inline long double
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frexp(long double __x, int* __exp)
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{ return ::frexp(static_cast<double>(__x), __exp); }
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#endif
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using ::ldexp;
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#if _GLIBCPP_HAVE_LDEXPF
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inline float
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ldexp(float __x, int __exp) { return __gnu_cxx::__c99_binding::ldexpf(__x, __exp); }
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#else
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inline float
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ldexp(float __x, int __exp)
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{ return ::ldexp(static_cast<double>(__x), __exp); }
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#endif
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#if _GLIBCPP_HAVE_LDEXPL
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inline long double
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ldexp(long double __x, int __exp) { return ::ldexpl(__x, __exp); }
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#else
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inline long double
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ldexp(long double __x, int __exp)
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{ return ::ldexp(static_cast<double>(__x), __exp); }
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#endif
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using ::log;
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#if _GLIBCPP_HAVE_LOGF
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inline float
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log(float __x) { return __gnu_cxx::__c99_binding::logf(__x); }
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#else
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inline float log(float __x)
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{ return ::log(static_cast<double>(__x)); }
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#endif
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#if _GLIBCPP_HAVE_LOGL
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inline long double
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log(long double __x) { return ::logl(__x); }
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#else
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inline long double
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log(long double __x) { return ::log(static_cast<double>(__x)); }
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#endif
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using ::log10;
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#if _GLIBCPP_HAVE_LOG10F
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inline float
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log10(float __x) { return __gnu_cxx::__c99_binding::log10f(__x); }
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#else
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inline float
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log10(float __x) { return ::log10(static_cast<double>(__x)); }
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#endif
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#if _GLIBCPP_HAVE_LOG10L
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inline long double
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log10(long double __x) { return ::log10l(__x); }
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#else
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inline long double
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log10(long double __x) { return ::log10(static_cast<double>(__x)); }
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#endif
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using ::modf;
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#if _GLIBCPP_HAVE_MODFF
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inline float
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modf(float __x, float* __iptr) { return __gnu_cxx::__c99_binding::modff(__x, __iptr); }
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#else
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inline float
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modf(float __x, float* __iptr)
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{
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double __tmp;
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double __res = ::modf(static_cast<double>(__x), &__tmp);
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*__iptr = static_cast<float>(__tmp);
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return __res;
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}
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#endif
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#if _GLIBCPP_HAVE_MODFL
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inline long double
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modf(long double __x, long double* __iptr) { return ::modfl(__x, __iptr); }
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#else
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inline long double
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modf(long double __x, long double* __iptr)
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{
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double __tmp;
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double __res = ::modf(static_cast<double>(__x), &__tmp);
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* __iptr = static_cast<long double>(__tmp);
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return __res;
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}
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#endif
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template<typename _Tp>
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inline _Tp
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__pow_helper(_Tp __x, int __n)
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{
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return __n < 0
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? _Tp(1)/__cmath_power(__x, -__n)
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: __cmath_power(__x, __n);
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}
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using ::pow;
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#if _GLIBCPP_HAVE_POWF
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inline float
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pow(float __x, float __y) { return __gnu_cxx::__c99_binding::powf(__x, __y); }
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#else
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inline float
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pow(float __x, float __y)
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{ return ::pow(static_cast<double>(__x), static_cast<double>(__y)); }
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#endif
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#if _GLIBCPP_HAVE_POWL
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inline long double
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pow(long double __x, long double __y) { return ::powl(__x, __y); }
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#else
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inline long double
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pow(long double __x, long double __y)
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{ return ::pow(static_cast<double>(__x), static_cast<double>(__y)); }
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#endif
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inline double
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pow(double __x, int __i)
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{ return __pow_helper(__x, __i); }
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inline float
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pow(float __x, int __n)
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{ return __pow_helper(__x, __n); }
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inline long double
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pow(long double __x, int __n)
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{ return __pow_helper(__x, __n); }
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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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inline long double
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sin(long double __x)
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{ return __builtin_sinl(__x); }
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using ::sinh;
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#if _GLIBCPP_HAVE_SINHF
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inline float
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sinh(float __x) { return __gnu_cxx::__c99_binding::sinhf(__x); }
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#else
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inline float
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sinh(float __x) { return ::sinh(static_cast<double>(__x)); }
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#endif
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|
|
#if _GLIBCPP_HAVE_SINHL
|
|
inline long double
|
|
sinh(long double __x) { return ::sinhl(__x); }
|
|
#else
|
|
inline long double
|
|
sinh(long double __x) { return ::sinh(static_cast<double>(__x)); }
|
|
#endif
|
|
|
|
using ::sqrt;
|
|
|
|
inline float
|
|
sqrt(float __x)
|
|
{ return __builtin_sqrtf(__x); }
|
|
|
|
inline long double
|
|
sqrt(long double __x)
|
|
{ return __builtin_sqrtl(__x); }
|
|
|
|
using ::tan;
|
|
|
|
#if _GLIBCPP_HAVE_TANF
|
|
inline float
|
|
tan(float __x) { return __gnu_cxx::__c99_binding::tanf(__x); }
|
|
#else
|
|
inline float
|
|
tan(float __x) { return ::tan(static_cast<double>(__x)); }
|
|
#endif
|
|
|
|
#if _GLIBCPP_HAVE_TANL
|
|
inline long double
|
|
tan(long double __x) { return ::tanl(__x); }
|
|
#else
|
|
inline long double
|
|
tan(long double __x) { return ::tan(static_cast<double>(__x)); }
|
|
#endif
|
|
|
|
using ::tanh;
|
|
|
|
#if _GLIBCPP_HAVE_TANHF
|
|
inline float
|
|
tanh(float __x) { return __gnu_cxx::__c99_binding::tanhf(__x); }
|
|
#else
|
|
inline float
|
|
tanh(float __x) { return ::tanh(static_cast<double>(__x)); }
|
|
#endif
|
|
|
|
#if _GLIBCPP_HAVE_TANHL
|
|
inline long double
|
|
tanh(long double __x) { return ::tanhl(__x); }
|
|
#else
|
|
inline long double
|
|
tanh(long double __x) { return ::tanh(static_cast<double>(__x)); }
|
|
#endif
|
|
}
|
|
|
|
|
|
#if _GLIBCPP_USE_C99
|
|
#if !_GLIBCPP_USE_C99_FP_MACROS_DYNAMIC
|
|
// These are possible macros imported from C99-land. For strict
|
|
// conformance, remove possible C99-injected names from the global
|
|
// namespace, and sequester them in the __gnu_cxx extension namespace.
|
|
namespace __gnu_cxx
|
|
{
|
|
template<typename _Tp>
|
|
int
|
|
__capture_fpclassify(_Tp __f) { return fpclassify(__f); }
|
|
|
|
template<typename _Tp>
|
|
int
|
|
__capture_isfinite(_Tp __f) { return isfinite(__f); }
|
|
|
|
template<typename _Tp>
|
|
int
|
|
__capture_isinf(_Tp __f) { return isinf(__f); }
|
|
|
|
template<typename _Tp>
|
|
int
|
|
__capture_isnan(_Tp __f) { return isnan(__f); }
|
|
|
|
template<typename _Tp>
|
|
int
|
|
__capture_isnormal(_Tp __f) { return isnormal(__f); }
|
|
|
|
template<typename _Tp>
|
|
int
|
|
__capture_signbit(_Tp __f) { return signbit(__f); }
|
|
|
|
template<typename _Tp>
|
|
int
|
|
__capture_isgreater(_Tp __f1, _Tp __f2)
|
|
{ return isgreater(__f1, __f2); }
|
|
|
|
template<typename _Tp>
|
|
int
|
|
__capture_isgreaterequal(_Tp __f1, _Tp __f2)
|
|
{ return isgreaterequal(__f1, __f2); }
|
|
|
|
template<typename _Tp>
|
|
int
|
|
__capture_isless(_Tp __f1, _Tp __f2) { return isless(__f1, __f2); }
|
|
|
|
template<typename _Tp>
|
|
int
|
|
__capture_islessequal(_Tp __f1, _Tp __f2)
|
|
{ return islessequal(__f1, __f2); }
|
|
|
|
template<typename _Tp>
|
|
int
|
|
__capture_islessgreater(_Tp __f1, _Tp __f2)
|
|
{ return islessgreater(__f1, __f2); }
|
|
|
|
template<typename _Tp>
|
|
int
|
|
__capture_isunordered(_Tp __f1, _Tp __f2)
|
|
{ return isunordered(__f1, __f2); }
|
|
}
|
|
#endif /* _GLIBCPP_USE_C99_FP_MACROS_DYNAMIC */
|
|
#endif
|
|
|
|
#undef fpclassify
|
|
#undef isfinite
|
|
#undef isinf
|
|
#undef isnan
|
|
#undef isnormal
|
|
#undef signbit
|
|
#undef isgreater
|
|
#undef isgreaterequal
|
|
#undef isless
|
|
#undef islessequal
|
|
#undef islessgreater
|
|
#undef isunordered
|
|
|
|
#if _GLIBCPP_USE_C99
|
|
#if !_GLIBCPP_USE_C99_FP_MACROS_DYNAMIC
|
|
namespace __gnu_cxx
|
|
{
|
|
template<typename _Tp>
|
|
int
|
|
fpclassify(_Tp __f) { return __capture_fpclassify(__f); }
|
|
|
|
template<typename _Tp>
|
|
int
|
|
isfinite(_Tp __f) { return __capture_isfinite(__f); }
|
|
|
|
template<typename _Tp>
|
|
int
|
|
isinf(_Tp __f) { return __capture_isinf(__f); }
|
|
|
|
template<typename _Tp>
|
|
int
|
|
isnan(_Tp __f) { return __capture_isnan(__f); }
|
|
|
|
template<typename _Tp>
|
|
int
|
|
isnormal(_Tp __f) { return __capture_isnormal(__f); }
|
|
|
|
template<typename _Tp>
|
|
int
|
|
signbit(_Tp __f) { return __capture_signbit(__f); }
|
|
|
|
template<typename _Tp>
|
|
int
|
|
isgreater(_Tp __f1, _Tp __f2) { return __capture_isgreater(__f1, __f2); }
|
|
|
|
template<typename _Tp>
|
|
int
|
|
isgreaterequal(_Tp __f1, _Tp __f2)
|
|
{ return __capture_isgreaterequal(__f1, __f2); }
|
|
|
|
template<typename _Tp>
|
|
int
|
|
isless(_Tp __f1, _Tp __f2) { return __capture_isless(__f1, __f2); }
|
|
|
|
template<typename _Tp>
|
|
int
|
|
islessequal(_Tp __f1, _Tp __f2)
|
|
{ return __capture_islessequal(__f1, __f2); }
|
|
|
|
template<typename _Tp>
|
|
int
|
|
islessgreater(_Tp __f1, _Tp __f2)
|
|
{ return __capture_islessgreater(__f1, __f2); }
|
|
|
|
template<typename _Tp>
|
|
int
|
|
isunordered(_Tp __f1, _Tp __f2)
|
|
{ return __capture_isunordered(__f1, __f2); }
|
|
}
|
|
|
|
namespace std
|
|
{
|
|
using __gnu_cxx::fpclassify;
|
|
using __gnu_cxx::isfinite;
|
|
using __gnu_cxx::isinf;
|
|
using __gnu_cxx::isnan;
|
|
using __gnu_cxx::isnormal;
|
|
using __gnu_cxx::signbit;
|
|
using __gnu_cxx::isgreater;
|
|
using __gnu_cxx::isgreaterequal;
|
|
using __gnu_cxx::isless;
|
|
using __gnu_cxx::islessequal;
|
|
using __gnu_cxx::islessgreater;
|
|
using __gnu_cxx::isunordered;
|
|
}
|
|
#endif /* _GLIBCPP_USE_C99_FP_MACROS_DYNAMIC */
|
|
#endif
|
|
|
|
#ifdef _GLIBCPP_NO_TEMPLATE_EXPORT
|
|
# define export
|
|
# include <bits/cmath.tcc>
|
|
#endif
|
|
|
|
#endif
|