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jeremybenn |
// TR1 cmath -*- C++ -*-
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// Copyright (C) 2006, 2007, 2008, 2009 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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// .
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/** @file tr1/cmath
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* This is a TR1 C++ Library header.
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*/
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#ifndef _GLIBCXX_TR1_CMATH
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#define _GLIBCXX_TR1_CMATH 1
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#pragma GCC system_header
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#if defined(_GLIBCXX_INCLUDE_AS_CXX0X)
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# error TR1 header cannot be included from C++0x header
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#endif
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#include
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#if defined(_GLIBCXX_INCLUDE_AS_TR1)
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# include
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#else
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# define _GLIBCXX_INCLUDE_AS_TR1
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# define _GLIBCXX_BEGIN_NAMESPACE_TR1 namespace tr1 {
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# define _GLIBCXX_END_NAMESPACE_TR1 }
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# define _GLIBCXX_TR1 tr1::
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# include
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# undef _GLIBCXX_TR1
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# undef _GLIBCXX_END_NAMESPACE_TR1
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# undef _GLIBCXX_BEGIN_NAMESPACE_TR1
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# undef _GLIBCXX_INCLUDE_AS_TR1
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#endif
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namespace std
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{
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namespace tr1
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{
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// DR 550. What should the return type of pow(float,int) be?
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// NB: C++0x and TR1 != C++03.
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inline double
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pow(double __x, double __y)
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{ return std::pow(__x, __y); }
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inline float
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pow(float __x, float __y)
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{ return std::pow(__x, __y); }
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inline long double
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pow(long double __x, long double __y)
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{ return std::pow(__x, __y); }
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template
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inline 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 std::pow(__type(__x), __type(__y));
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}
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}
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}
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#include
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#include
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#include
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#include
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#include
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#include
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#include
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#include
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#include
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#include
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#include
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#include
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#include
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#include
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namespace std
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{
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namespace tr1
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{
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/**
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* @defgroup tr1_math_spec_func Mathematical Special Functions
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* @ingroup numerics
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*
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* A collection of advanced mathematical special functions.
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* @{
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*/
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inline float
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assoc_laguerref(unsigned int __n, unsigned int __m, float __x)
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{ return __detail::__assoc_laguerre(__n, __m, __x); }
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inline long double
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assoc_laguerrel(unsigned int __n, unsigned int __m, long double __x)
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{
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return __detail::__assoc_laguerre(__n, __m, __x);
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}
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/// 5.2.1.1 Associated Laguerre polynomials.
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template
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inline typename __gnu_cxx::__promote<_Tp>::__type
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assoc_laguerre(unsigned int __n, unsigned int __m, _Tp __x)
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{
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typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
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return __detail::__assoc_laguerre<__type>(__n, __m, __x);
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}
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inline float
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assoc_legendref(unsigned int __l, unsigned int __m, float __x)
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{ return __detail::__assoc_legendre_p(__l, __m, __x); }
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inline long double
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assoc_legendrel(unsigned int __l, unsigned int __m, long double __x)
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{ return __detail::__assoc_legendre_p(__l, __m, __x); }
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/// 5.2.1.2 Associated Legendre functions.
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template
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inline typename __gnu_cxx::__promote<_Tp>::__type
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assoc_legendre(unsigned int __l, unsigned int __m, _Tp __x)
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{
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typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
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return __detail::__assoc_legendre_p<__type>(__l, __m, __x);
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}
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inline float
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betaf(float __x, float __y)
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{ return __detail::__beta(__x, __y); }
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inline long double
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betal(long double __x, long double __y)
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{ return __detail::__beta(__x, __y); }
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/// 5.2.1.3 Beta functions.
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template
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inline typename __gnu_cxx::__promote_2<_Tpx, _Tpy>::__type
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beta(_Tpx __x, _Tpy __y)
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{
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typedef typename __gnu_cxx::__promote_2<_Tpx, _Tpy>::__type __type;
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return __detail::__beta<__type>(__x, __y);
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}
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inline float
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comp_ellint_1f(float __k)
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{ return __detail::__comp_ellint_1(__k); }
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inline long double
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comp_ellint_1l(long double __k)
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{ return __detail::__comp_ellint_1(__k); }
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/// 5.2.1.4 Complete elliptic integrals of the first kind.
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template
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inline typename __gnu_cxx::__promote<_Tp>::__type
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comp_ellint_1(_Tp __k)
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{
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typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
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return __detail::__comp_ellint_1<__type>(__k);
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}
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inline float
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comp_ellint_2f(float __k)
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{ return __detail::__comp_ellint_2(__k); }
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inline long double
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comp_ellint_2l(long double __k)
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{ return __detail::__comp_ellint_2(__k); }
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/// 5.2.1.5 Complete elliptic integrals of the second kind.
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template
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inline typename __gnu_cxx::__promote<_Tp>::__type
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comp_ellint_2(_Tp __k)
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{
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typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
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return __detail::__comp_ellint_2<__type>(__k);
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}
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inline float
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comp_ellint_3f(float __k, float __nu)
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{ return __detail::__comp_ellint_3(__k, __nu); }
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inline long double
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comp_ellint_3l(long double __k, long double __nu)
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{ return __detail::__comp_ellint_3(__k, __nu); }
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/// 5.2.1.6 Complete elliptic integrals of the third kind.
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template
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inline typename __gnu_cxx::__promote_2<_Tp, _Tpn>::__type
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comp_ellint_3(_Tp __k, _Tpn __nu)
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{
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typedef typename __gnu_cxx::__promote_2<_Tp, _Tpn>::__type __type;
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return __detail::__comp_ellint_3<__type>(__k, __nu);
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}
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inline float
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conf_hypergf(float __a, float __c, float __x)
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{ return __detail::__conf_hyperg(__a, __c, __x); }
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inline long double
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conf_hypergl(long double __a, long double __c, long double __x)
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{ return __detail::__conf_hyperg(__a, __c, __x); }
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/// 5.2.1.7 Confluent hypergeometric functions.
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template
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inline typename __gnu_cxx::__promote_3<_Tpa, _Tpc, _Tp>::__type
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conf_hyperg(_Tpa __a, _Tpc __c, _Tp __x)
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{
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typedef typename __gnu_cxx::__promote_3<_Tpa, _Tpc, _Tp>::__type __type;
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return __detail::__conf_hyperg<__type>(__a, __c, __x);
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}
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inline float
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cyl_bessel_if(float __nu, float __x)
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{ return __detail::__cyl_bessel_i(__nu, __x); }
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inline long double
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cyl_bessel_il(long double __nu, long double __x)
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{ return __detail::__cyl_bessel_i(__nu, __x); }
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/// 5.2.1.8 Regular modified cylindrical Bessel functions.
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template
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inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
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cyl_bessel_i(_Tpnu __nu, _Tp __x)
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{
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typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
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return __detail::__cyl_bessel_i<__type>(__nu, __x);
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}
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inline float
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cyl_bessel_jf(float __nu, float __x)
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{ return __detail::__cyl_bessel_j(__nu, __x); }
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inline long double
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cyl_bessel_jl(long double __nu, long double __x)
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{ return __detail::__cyl_bessel_j(__nu, __x); }
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/// 5.2.1.9 Cylindrical Bessel functions (of the first kind).
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template
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inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
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cyl_bessel_j(_Tpnu __nu, _Tp __x)
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{
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typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
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return __detail::__cyl_bessel_j<__type>(__nu, __x);
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}
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inline float
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cyl_bessel_kf(float __nu, float __x)
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{ return __detail::__cyl_bessel_k(__nu, __x); }
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inline long double
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cyl_bessel_kl(long double __nu, long double __x)
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{ return __detail::__cyl_bessel_k(__nu, __x); }
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/// 5.2.1.10 Irregular modified cylindrical Bessel functions.
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template
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inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
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cyl_bessel_k(_Tpnu __nu, _Tp __x)
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{
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typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
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return __detail::__cyl_bessel_k<__type>(__nu, __x);
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}
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inline float
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cyl_neumannf(float __nu, float __x)
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{ return __detail::__cyl_neumann_n(__nu, __x); }
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inline long double
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cyl_neumannl(long double __nu, long double __x)
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{ return __detail::__cyl_neumann_n(__nu, __x); }
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/// 5.2.1.11 Cylindrical Neumann functions.
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template
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inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
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cyl_neumann(_Tpnu __nu, _Tp __x)
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{
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typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
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return __detail::__cyl_neumann_n<__type>(__nu, __x);
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}
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299 |
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inline float
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ellint_1f(float __k, float __phi)
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{ return __detail::__ellint_1(__k, __phi); }
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inline long double
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ellint_1l(long double __k, long double __phi)
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{ return __detail::__ellint_1(__k, __phi); }
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307 |
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/// 5.2.1.12 Incomplete elliptic integrals of the first kind.
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template
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inline typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type
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ellint_1(_Tp __k, _Tpp __phi)
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311 |
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{
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typedef typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type __type;
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return __detail::__ellint_1<__type>(__k, __phi);
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}
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316 |
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inline float
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ellint_2f(float __k, float __phi)
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{ return __detail::__ellint_2(__k, __phi); }
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320 |
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inline long double
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ellint_2l(long double __k, long double __phi)
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{ return __detail::__ellint_2(__k, __phi); }
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/// 5.2.1.13 Incomplete elliptic integrals of the second kind.
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template
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inline typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type
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ellint_2(_Tp __k, _Tpp __phi)
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{
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typedef typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type __type;
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return __detail::__ellint_2<__type>(__k, __phi);
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}
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inline float
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ellint_3f(float __k, float __nu, float __phi)
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{ return __detail::__ellint_3(__k, __nu, __phi); }
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336 |
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337 |
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inline long double
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ellint_3l(long double __k, long double __nu, long double __phi)
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{ return __detail::__ellint_3(__k, __nu, __phi); }
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340 |
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341 |
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/// 5.2.1.14 Incomplete elliptic integrals of the third kind.
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template
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343 |
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inline typename __gnu_cxx::__promote_3<_Tp, _Tpn, _Tpp>::__type
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ellint_3(_Tp __k, _Tpn __nu, _Tpp __phi)
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345 |
|
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{
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346 |
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|
typedef typename __gnu_cxx::__promote_3<_Tp, _Tpn, _Tpp>::__type __type;
|
347 |
|
|
return __detail::__ellint_3<__type>(__k, __nu, __phi);
|
348 |
|
|
}
|
349 |
|
|
|
350 |
|
|
inline float
|
351 |
|
|
expintf(float __x)
|
352 |
|
|
{ return __detail::__expint(__x); }
|
353 |
|
|
|
354 |
|
|
inline long double
|
355 |
|
|
expintl(long double __x)
|
356 |
|
|
{ return __detail::__expint(__x); }
|
357 |
|
|
|
358 |
|
|
/// 5.2.1.15 Exponential integrals.
|
359 |
|
|
template
|
360 |
|
|
inline typename __gnu_cxx::__promote<_Tp>::__type
|
361 |
|
|
expint(_Tp __x)
|
362 |
|
|
{
|
363 |
|
|
typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
|
364 |
|
|
return __detail::__expint<__type>(__x);
|
365 |
|
|
}
|
366 |
|
|
|
367 |
|
|
inline float
|
368 |
|
|
hermitef(unsigned int __n, float __x)
|
369 |
|
|
{ return __detail::__poly_hermite(__n, __x); }
|
370 |
|
|
|
371 |
|
|
inline long double
|
372 |
|
|
hermitel(unsigned int __n, long double __x)
|
373 |
|
|
{ return __detail::__poly_hermite(__n, __x); }
|
374 |
|
|
|
375 |
|
|
/// 5.2.1.16 Hermite polynomials.
|
376 |
|
|
template
|
377 |
|
|
inline typename __gnu_cxx::__promote<_Tp>::__type
|
378 |
|
|
hermite(unsigned int __n, _Tp __x)
|
379 |
|
|
{
|
380 |
|
|
typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
|
381 |
|
|
return __detail::__poly_hermite<__type>(__n, __x);
|
382 |
|
|
}
|
383 |
|
|
|
384 |
|
|
inline float
|
385 |
|
|
hypergf(float __a, float __b, float __c, float __x)
|
386 |
|
|
{ return __detail::__hyperg(__a, __b, __c, __x); }
|
387 |
|
|
|
388 |
|
|
inline long double
|
389 |
|
|
hypergl(long double __a, long double __b, long double __c, long double __x)
|
390 |
|
|
{ return __detail::__hyperg(__a, __b, __c, __x); }
|
391 |
|
|
|
392 |
|
|
/// 5.2.1.17 Hypergeometric functions.
|
393 |
|
|
template
|
394 |
|
|
inline typename __gnu_cxx::__promote_4<_Tpa, _Tpb, _Tpc, _Tp>::__type
|
395 |
|
|
hyperg(_Tpa __a, _Tpb __b, _Tpc __c, _Tp __x)
|
396 |
|
|
{
|
397 |
|
|
typedef typename __gnu_cxx::__promote_4<_Tpa, _Tpb, _Tpc, _Tp>::__type __type;
|
398 |
|
|
return __detail::__hyperg<__type>(__a, __b, __c, __x);
|
399 |
|
|
}
|
400 |
|
|
|
401 |
|
|
inline float
|
402 |
|
|
laguerref(unsigned int __n, float __x)
|
403 |
|
|
{ return __detail::__laguerre(__n, __x); }
|
404 |
|
|
|
405 |
|
|
inline long double
|
406 |
|
|
laguerrel(unsigned int __n, long double __x)
|
407 |
|
|
{ return __detail::__laguerre(__n, __x); }
|
408 |
|
|
|
409 |
|
|
/// 5.2.1.18 Laguerre polynomials.
|
410 |
|
|
template
|
411 |
|
|
inline typename __gnu_cxx::__promote<_Tp>::__type
|
412 |
|
|
laguerre(unsigned int __n, _Tp __x)
|
413 |
|
|
{
|
414 |
|
|
typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
|
415 |
|
|
return __detail::__laguerre<__type>(__n, __x);
|
416 |
|
|
}
|
417 |
|
|
|
418 |
|
|
inline float
|
419 |
|
|
legendref(unsigned int __n, float __x)
|
420 |
|
|
{ return __detail::__poly_legendre_p(__n, __x); }
|
421 |
|
|
|
422 |
|
|
inline long double
|
423 |
|
|
legendrel(unsigned int __n, long double __x)
|
424 |
|
|
{ return __detail::__poly_legendre_p(__n, __x); }
|
425 |
|
|
|
426 |
|
|
/// 5.2.1.19 Legendre polynomials.
|
427 |
|
|
template
|
428 |
|
|
inline typename __gnu_cxx::__promote<_Tp>::__type
|
429 |
|
|
legendre(unsigned int __n, _Tp __x)
|
430 |
|
|
{
|
431 |
|
|
typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
|
432 |
|
|
return __detail::__poly_legendre_p<__type>(__n, __x);
|
433 |
|
|
}
|
434 |
|
|
|
435 |
|
|
inline float
|
436 |
|
|
riemann_zetaf(float __x)
|
437 |
|
|
{ return __detail::__riemann_zeta(__x); }
|
438 |
|
|
|
439 |
|
|
inline long double
|
440 |
|
|
riemann_zetal(long double __x)
|
441 |
|
|
{ return __detail::__riemann_zeta(__x); }
|
442 |
|
|
|
443 |
|
|
/// 5.2.1.20 Riemann zeta function.
|
444 |
|
|
template
|
445 |
|
|
inline typename __gnu_cxx::__promote<_Tp>::__type
|
446 |
|
|
riemann_zeta(_Tp __x)
|
447 |
|
|
{
|
448 |
|
|
typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
|
449 |
|
|
return __detail::__riemann_zeta<__type>(__x);
|
450 |
|
|
}
|
451 |
|
|
|
452 |
|
|
inline float
|
453 |
|
|
sph_besself(unsigned int __n, float __x)
|
454 |
|
|
{ return __detail::__sph_bessel(__n, __x); }
|
455 |
|
|
|
456 |
|
|
inline long double
|
457 |
|
|
sph_bessell(unsigned int __n, long double __x)
|
458 |
|
|
{ return __detail::__sph_bessel(__n, __x); }
|
459 |
|
|
|
460 |
|
|
/// 5.2.1.21 Spherical Bessel functions.
|
461 |
|
|
template
|
462 |
|
|
inline typename __gnu_cxx::__promote<_Tp>::__type
|
463 |
|
|
sph_bessel(unsigned int __n, _Tp __x)
|
464 |
|
|
{
|
465 |
|
|
typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
|
466 |
|
|
return __detail::__sph_bessel<__type>(__n, __x);
|
467 |
|
|
}
|
468 |
|
|
|
469 |
|
|
inline float
|
470 |
|
|
sph_legendref(unsigned int __l, unsigned int __m, float __theta)
|
471 |
|
|
{ return __detail::__sph_legendre(__l, __m, __theta); }
|
472 |
|
|
|
473 |
|
|
inline long double
|
474 |
|
|
sph_legendrel(unsigned int __l, unsigned int __m, long double __theta)
|
475 |
|
|
{ return __detail::__sph_legendre(__l, __m, __theta); }
|
476 |
|
|
|
477 |
|
|
/// 5.2.1.22 Spherical associated Legendre functions.
|
478 |
|
|
template
|
479 |
|
|
inline typename __gnu_cxx::__promote<_Tp>::__type
|
480 |
|
|
sph_legendre(unsigned int __l, unsigned int __m, _Tp __theta)
|
481 |
|
|
{
|
482 |
|
|
typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
|
483 |
|
|
return __detail::__sph_legendre<__type>(__l, __m, __theta);
|
484 |
|
|
}
|
485 |
|
|
|
486 |
|
|
inline float
|
487 |
|
|
sph_neumannf(unsigned int __n, float __x)
|
488 |
|
|
{ return __detail::__sph_neumann(__n, __x); }
|
489 |
|
|
|
490 |
|
|
inline long double
|
491 |
|
|
sph_neumannl(unsigned int __n, long double __x)
|
492 |
|
|
{ return __detail::__sph_neumann(__n, __x); }
|
493 |
|
|
|
494 |
|
|
/// 5.2.1.23 Spherical Neumann functions.
|
495 |
|
|
template
|
496 |
|
|
inline typename __gnu_cxx::__promote<_Tp>::__type
|
497 |
|
|
sph_neumann(unsigned int __n, _Tp __x)
|
498 |
|
|
{
|
499 |
|
|
typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
|
500 |
|
|
return __detail::__sph_neumann<__type>(__n, __x);
|
501 |
|
|
}
|
502 |
|
|
|
503 |
|
|
/* @} */ // tr1_math_spec_func
|
504 |
|
|
}
|
505 |
|
|
}
|
506 |
|
|
|
507 |
|
|
#endif // _GLIBCXX_TR1_CMATH
|