| // TR1 cmath -*- C++ -*- |
| |
| // Copyright (C) 2006, 2007, 2008, 2009 Free Software Foundation, Inc. |
| // |
| // This file is part of the GNU ISO C++ Library. This library is free |
| // software; you can redistribute it and/or modify it under the |
| // terms of the GNU General Public License as published by the |
| // Free Software Foundation; either version 3, or (at your option) |
| // any later version. |
| |
| // This library is distributed in the hope that it will be useful, |
| // but WITHOUT ANY WARRANTY; without even the implied warranty of |
| // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
| // GNU General Public License for more details. |
| |
| // Under Section 7 of GPL version 3, you are granted additional |
| // permissions described in the GCC Runtime Library Exception, version |
| // 3.1, as published by the Free Software Foundation. |
| |
| // You should have received a copy of the GNU General Public License and |
| // a copy of the GCC Runtime Library Exception along with this program; |
| // see the files COPYING3 and COPYING.RUNTIME respectively. If not, see |
| // <http://www.gnu.org/licenses/>. |
| |
| /** @file tr1/cmath |
| * This is a TR1 C++ Library header. |
| */ |
| |
| #ifndef _GLIBCXX_TR1_CMATH |
| #define _GLIBCXX_TR1_CMATH 1 |
| |
| #pragma GCC system_header |
| |
| #if defined(_GLIBCXX_INCLUDE_AS_CXX0X) |
| # error TR1 header cannot be included from C++0x header |
| #endif |
| |
| #include <cmath> |
| |
| #if defined(_GLIBCXX_INCLUDE_AS_TR1) |
| # include <tr1_impl/cmath> |
| #else |
| # define _GLIBCXX_INCLUDE_AS_TR1 |
| # define _GLIBCXX_BEGIN_NAMESPACE_TR1 namespace tr1 { |
| # define _GLIBCXX_END_NAMESPACE_TR1 } |
| # define _GLIBCXX_TR1 tr1:: |
| # include <tr1_impl/cmath> |
| # undef _GLIBCXX_TR1 |
| # undef _GLIBCXX_END_NAMESPACE_TR1 |
| # undef _GLIBCXX_BEGIN_NAMESPACE_TR1 |
| # undef _GLIBCXX_INCLUDE_AS_TR1 |
| #endif |
| |
| namespace std |
| { |
| namespace tr1 |
| { |
| // DR 550. What should the return type of pow(float,int) be? |
| // NB: C++0x and TR1 != C++03. |
| inline double |
| pow(double __x, double __y) |
| { return std::pow(__x, __y); } |
| |
| inline float |
| pow(float __x, float __y) |
| { return std::pow(__x, __y); } |
| |
| inline long double |
| pow(long double __x, long double __y) |
| { return std::pow(__x, __y); } |
| |
| template<typename _Tp, typename _Up> |
| inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type |
| pow(_Tp __x, _Up __y) |
| { |
| typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type; |
| return std::pow(__type(__x), __type(__y)); |
| } |
| } |
| } |
| |
| #include <bits/stl_algobase.h> |
| #include <limits> |
| #include <tr1/type_traits> |
| |
| #include <tr1/gamma.tcc> |
| #include <tr1/bessel_function.tcc> |
| #include <tr1/beta_function.tcc> |
| #include <tr1/ell_integral.tcc> |
| #include <tr1/exp_integral.tcc> |
| #include <tr1/hypergeometric.tcc> |
| #include <tr1/legendre_function.tcc> |
| #include <tr1/modified_bessel_func.tcc> |
| #include <tr1/poly_hermite.tcc> |
| #include <tr1/poly_laguerre.tcc> |
| #include <tr1/riemann_zeta.tcc> |
| |
| namespace std |
| { |
| namespace tr1 |
| { |
| /** |
| * @defgroup tr1_math_spec_func Mathematical Special Functions |
| * @ingroup numerics |
| * |
| * A collection of advanced mathematical special functions. |
| * @{ |
| */ |
| |
| inline float |
| assoc_laguerref(unsigned int __n, unsigned int __m, float __x) |
| { return __detail::__assoc_laguerre<float>(__n, __m, __x); } |
| |
| inline long double |
| assoc_laguerrel(unsigned int __n, unsigned int __m, long double __x) |
| { |
| return __detail::__assoc_laguerre<long double>(__n, __m, __x); |
| } |
| |
| /// 5.2.1.1 Associated Laguerre polynomials. |
| template<typename _Tp> |
| inline typename __gnu_cxx::__promote<_Tp>::__type |
| assoc_laguerre(unsigned int __n, unsigned int __m, _Tp __x) |
| { |
| typedef typename __gnu_cxx::__promote<_Tp>::__type __type; |
| return __detail::__assoc_laguerre<__type>(__n, __m, __x); |
| } |
| |
| inline float |
| assoc_legendref(unsigned int __l, unsigned int __m, float __x) |
| { return __detail::__assoc_legendre_p<float>(__l, __m, __x); } |
| |
| inline long double |
| assoc_legendrel(unsigned int __l, unsigned int __m, long double __x) |
| { return __detail::__assoc_legendre_p<long double>(__l, __m, __x); } |
| |
| /// 5.2.1.2 Associated Legendre functions. |
| template<typename _Tp> |
| inline typename __gnu_cxx::__promote<_Tp>::__type |
| assoc_legendre(unsigned int __l, unsigned int __m, _Tp __x) |
| { |
| typedef typename __gnu_cxx::__promote<_Tp>::__type __type; |
| return __detail::__assoc_legendre_p<__type>(__l, __m, __x); |
| } |
| |
| inline float |
| betaf(float __x, float __y) |
| { return __detail::__beta<float>(__x, __y); } |
| |
| inline long double |
| betal(long double __x, long double __y) |
| { return __detail::__beta<long double>(__x, __y); } |
| |
| /// 5.2.1.3 Beta functions. |
| template<typename _Tpx, typename _Tpy> |
| inline typename __gnu_cxx::__promote_2<_Tpx, _Tpy>::__type |
| beta(_Tpx __x, _Tpy __y) |
| { |
| typedef typename __gnu_cxx::__promote_2<_Tpx, _Tpy>::__type __type; |
| return __detail::__beta<__type>(__x, __y); |
| } |
| |
| inline float |
| comp_ellint_1f(float __k) |
| { return __detail::__comp_ellint_1<float>(__k); } |
| |
| inline long double |
| comp_ellint_1l(long double __k) |
| { return __detail::__comp_ellint_1<long double>(__k); } |
| |
| /// 5.2.1.4 Complete elliptic integrals of the first kind. |
| template<typename _Tp> |
| inline typename __gnu_cxx::__promote<_Tp>::__type |
| comp_ellint_1(_Tp __k) |
| { |
| typedef typename __gnu_cxx::__promote<_Tp>::__type __type; |
| return __detail::__comp_ellint_1<__type>(__k); |
| } |
| |
| inline float |
| comp_ellint_2f(float __k) |
| { return __detail::__comp_ellint_2<float>(__k); } |
| |
| inline long double |
| comp_ellint_2l(long double __k) |
| { return __detail::__comp_ellint_2<long double>(__k); } |
| |
| /// 5.2.1.5 Complete elliptic integrals of the second kind. |
| template<typename _Tp> |
| inline typename __gnu_cxx::__promote<_Tp>::__type |
| comp_ellint_2(_Tp __k) |
| { |
| typedef typename __gnu_cxx::__promote<_Tp>::__type __type; |
| return __detail::__comp_ellint_2<__type>(__k); |
| } |
| |
| inline float |
| comp_ellint_3f(float __k, float __nu) |
| { return __detail::__comp_ellint_3<float>(__k, __nu); } |
| |
| inline long double |
| comp_ellint_3l(long double __k, long double __nu) |
| { return __detail::__comp_ellint_3<long double>(__k, __nu); } |
| |
| /// 5.2.1.6 Complete elliptic integrals of the third kind. |
| template<typename _Tp, typename _Tpn> |
| inline typename __gnu_cxx::__promote_2<_Tp, _Tpn>::__type |
| comp_ellint_3(_Tp __k, _Tpn __nu) |
| { |
| typedef typename __gnu_cxx::__promote_2<_Tp, _Tpn>::__type __type; |
| return __detail::__comp_ellint_3<__type>(__k, __nu); |
| } |
| |
| inline float |
| conf_hypergf(float __a, float __c, float __x) |
| { return __detail::__conf_hyperg<float>(__a, __c, __x); } |
| |
| inline long double |
| conf_hypergl(long double __a, long double __c, long double __x) |
| { return __detail::__conf_hyperg<long double>(__a, __c, __x); } |
| |
| /// 5.2.1.7 Confluent hypergeometric functions. |
| template<typename _Tpa, typename _Tpc, typename _Tp> |
| inline typename __gnu_cxx::__promote_3<_Tpa, _Tpc, _Tp>::__type |
| conf_hyperg(_Tpa __a, _Tpc __c, _Tp __x) |
| { |
| typedef typename __gnu_cxx::__promote_3<_Tpa, _Tpc, _Tp>::__type __type; |
| return __detail::__conf_hyperg<__type>(__a, __c, __x); |
| } |
| |
| inline float |
| cyl_bessel_if(float __nu, float __x) |
| { return __detail::__cyl_bessel_i<float>(__nu, __x); } |
| |
| inline long double |
| cyl_bessel_il(long double __nu, long double __x) |
| { return __detail::__cyl_bessel_i<long double>(__nu, __x); } |
| |
| /// 5.2.1.8 Regular modified cylindrical Bessel functions. |
| template<typename _Tpnu, typename _Tp> |
| inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type |
| cyl_bessel_i(_Tpnu __nu, _Tp __x) |
| { |
| typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type; |
| return __detail::__cyl_bessel_i<__type>(__nu, __x); |
| } |
| |
| inline float |
| cyl_bessel_jf(float __nu, float __x) |
| { return __detail::__cyl_bessel_j<float>(__nu, __x); } |
| |
| inline long double |
| cyl_bessel_jl(long double __nu, long double __x) |
| { return __detail::__cyl_bessel_j<long double>(__nu, __x); } |
| |
| /// 5.2.1.9 Cylindrical Bessel functions (of the first kind). |
| template<typename _Tpnu, typename _Tp> |
| inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type |
| cyl_bessel_j(_Tpnu __nu, _Tp __x) |
| { |
| typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type; |
| return __detail::__cyl_bessel_j<__type>(__nu, __x); |
| } |
| |
| inline float |
| cyl_bessel_kf(float __nu, float __x) |
| { return __detail::__cyl_bessel_k<float>(__nu, __x); } |
| |
| inline long double |
| cyl_bessel_kl(long double __nu, long double __x) |
| { return __detail::__cyl_bessel_k<long double>(__nu, __x); } |
| |
| /// 5.2.1.10 Irregular modified cylindrical Bessel functions. |
| template<typename _Tpnu, typename _Tp> |
| inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type |
| cyl_bessel_k(_Tpnu __nu, _Tp __x) |
| { |
| typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type; |
| return __detail::__cyl_bessel_k<__type>(__nu, __x); |
| } |
| |
| inline float |
| cyl_neumannf(float __nu, float __x) |
| { return __detail::__cyl_neumann_n<float>(__nu, __x); } |
| |
| inline long double |
| cyl_neumannl(long double __nu, long double __x) |
| { return __detail::__cyl_neumann_n<long double>(__nu, __x); } |
| |
| /// 5.2.1.11 Cylindrical Neumann functions. |
| template<typename _Tpnu, typename _Tp> |
| inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type |
| cyl_neumann(_Tpnu __nu, _Tp __x) |
| { |
| typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type; |
| return __detail::__cyl_neumann_n<__type>(__nu, __x); |
| } |
| |
| inline float |
| ellint_1f(float __k, float __phi) |
| { return __detail::__ellint_1<float>(__k, __phi); } |
| |
| inline long double |
| ellint_1l(long double __k, long double __phi) |
| { return __detail::__ellint_1<long double>(__k, __phi); } |
| |
| /// 5.2.1.12 Incomplete elliptic integrals of the first kind. |
| template<typename _Tp, typename _Tpp> |
| inline typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type |
| ellint_1(_Tp __k, _Tpp __phi) |
| { |
| typedef typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type __type; |
| return __detail::__ellint_1<__type>(__k, __phi); |
| } |
| |
| inline float |
| ellint_2f(float __k, float __phi) |
| { return __detail::__ellint_2<float>(__k, __phi); } |
| |
| inline long double |
| ellint_2l(long double __k, long double __phi) |
| { return __detail::__ellint_2<long double>(__k, __phi); } |
| |
| /// 5.2.1.13 Incomplete elliptic integrals of the second kind. |
| template<typename _Tp, typename _Tpp> |
| inline typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type |
| ellint_2(_Tp __k, _Tpp __phi) |
| { |
| typedef typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type __type; |
| return __detail::__ellint_2<__type>(__k, __phi); |
| } |
| |
| inline float |
| ellint_3f(float __k, float __nu, float __phi) |
| { return __detail::__ellint_3<float>(__k, __nu, __phi); } |
| |
| inline long double |
| ellint_3l(long double __k, long double __nu, long double __phi) |
| { return __detail::__ellint_3<long double>(__k, __nu, __phi); } |
| |
| /// 5.2.1.14 Incomplete elliptic integrals of the third kind. |
| template<typename _Tp, typename _Tpn, typename _Tpp> |
| inline typename __gnu_cxx::__promote_3<_Tp, _Tpn, _Tpp>::__type |
| ellint_3(_Tp __k, _Tpn __nu, _Tpp __phi) |
| { |
| typedef typename __gnu_cxx::__promote_3<_Tp, _Tpn, _Tpp>::__type __type; |
| return __detail::__ellint_3<__type>(__k, __nu, __phi); |
| } |
| |
| inline float |
| expintf(float __x) |
| { return __detail::__expint<float>(__x); } |
| |
| inline long double |
| expintl(long double __x) |
| { return __detail::__expint<long double>(__x); } |
| |
| /// 5.2.1.15 Exponential integrals. |
| template<typename _Tp> |
| inline typename __gnu_cxx::__promote<_Tp>::__type |
| expint(_Tp __x) |
| { |
| typedef typename __gnu_cxx::__promote<_Tp>::__type __type; |
| return __detail::__expint<__type>(__x); |
| } |
| |
| inline float |
| hermitef(unsigned int __n, float __x) |
| { return __detail::__poly_hermite<float>(__n, __x); } |
| |
| inline long double |
| hermitel(unsigned int __n, long double __x) |
| { return __detail::__poly_hermite<long double>(__n, __x); } |
| |
| /// 5.2.1.16 Hermite polynomials. |
| template<typename _Tp> |
| inline typename __gnu_cxx::__promote<_Tp>::__type |
| hermite(unsigned int __n, _Tp __x) |
| { |
| typedef typename __gnu_cxx::__promote<_Tp>::__type __type; |
| return __detail::__poly_hermite<__type>(__n, __x); |
| } |
| |
| inline float |
| hypergf(float __a, float __b, float __c, float __x) |
| { return __detail::__hyperg<float>(__a, __b, __c, __x); } |
| |
| inline long double |
| hypergl(long double __a, long double __b, long double __c, long double __x) |
| { return __detail::__hyperg<long double>(__a, __b, __c, __x); } |
| |
| /// 5.2.1.17 Hypergeometric functions. |
| template<typename _Tpa, typename _Tpb, typename _Tpc, typename _Tp> |
| inline typename __gnu_cxx::__promote_4<_Tpa, _Tpb, _Tpc, _Tp>::__type |
| hyperg(_Tpa __a, _Tpb __b, _Tpc __c, _Tp __x) |
| { |
| typedef typename __gnu_cxx::__promote_4<_Tpa, _Tpb, _Tpc, _Tp>::__type __type; |
| return __detail::__hyperg<__type>(__a, __b, __c, __x); |
| } |
| |
| inline float |
| laguerref(unsigned int __n, float __x) |
| { return __detail::__laguerre<float>(__n, __x); } |
| |
| inline long double |
| laguerrel(unsigned int __n, long double __x) |
| { return __detail::__laguerre<long double>(__n, __x); } |
| |
| /// 5.2.1.18 Laguerre polynomials. |
| template<typename _Tp> |
| inline typename __gnu_cxx::__promote<_Tp>::__type |
| laguerre(unsigned int __n, _Tp __x) |
| { |
| typedef typename __gnu_cxx::__promote<_Tp>::__type __type; |
| return __detail::__laguerre<__type>(__n, __x); |
| } |
| |
| inline float |
| legendref(unsigned int __n, float __x) |
| { return __detail::__poly_legendre_p<float>(__n, __x); } |
| |
| inline long double |
| legendrel(unsigned int __n, long double __x) |
| { return __detail::__poly_legendre_p<long double>(__n, __x); } |
| |
| /// 5.2.1.19 Legendre polynomials. |
| template<typename _Tp> |
| inline typename __gnu_cxx::__promote<_Tp>::__type |
| legendre(unsigned int __n, _Tp __x) |
| { |
| typedef typename __gnu_cxx::__promote<_Tp>::__type __type; |
| return __detail::__poly_legendre_p<__type>(__n, __x); |
| } |
| |
| inline float |
| riemann_zetaf(float __x) |
| { return __detail::__riemann_zeta<float>(__x); } |
| |
| inline long double |
| riemann_zetal(long double __x) |
| { return __detail::__riemann_zeta<long double>(__x); } |
| |
| /// 5.2.1.20 Riemann zeta function. |
| template<typename _Tp> |
| inline typename __gnu_cxx::__promote<_Tp>::__type |
| riemann_zeta(_Tp __x) |
| { |
| typedef typename __gnu_cxx::__promote<_Tp>::__type __type; |
| return __detail::__riemann_zeta<__type>(__x); |
| } |
| |
| inline float |
| sph_besself(unsigned int __n, float __x) |
| { return __detail::__sph_bessel<float>(__n, __x); } |
| |
| inline long double |
| sph_bessell(unsigned int __n, long double __x) |
| { return __detail::__sph_bessel<long double>(__n, __x); } |
| |
| /// 5.2.1.21 Spherical Bessel functions. |
| template<typename _Tp> |
| inline typename __gnu_cxx::__promote<_Tp>::__type |
| sph_bessel(unsigned int __n, _Tp __x) |
| { |
| typedef typename __gnu_cxx::__promote<_Tp>::__type __type; |
| return __detail::__sph_bessel<__type>(__n, __x); |
| } |
| |
| inline float |
| sph_legendref(unsigned int __l, unsigned int __m, float __theta) |
| { return __detail::__sph_legendre<float>(__l, __m, __theta); } |
| |
| inline long double |
| sph_legendrel(unsigned int __l, unsigned int __m, long double __theta) |
| { return __detail::__sph_legendre<long double>(__l, __m, __theta); } |
| |
| /// 5.2.1.22 Spherical associated Legendre functions. |
| template<typename _Tp> |
| inline typename __gnu_cxx::__promote<_Tp>::__type |
| sph_legendre(unsigned int __l, unsigned int __m, _Tp __theta) |
| { |
| typedef typename __gnu_cxx::__promote<_Tp>::__type __type; |
| return __detail::__sph_legendre<__type>(__l, __m, __theta); |
| } |
| |
| inline float |
| sph_neumannf(unsigned int __n, float __x) |
| { return __detail::__sph_neumann<float>(__n, __x); } |
| |
| inline long double |
| sph_neumannl(unsigned int __n, long double __x) |
| { return __detail::__sph_neumann<long double>(__n, __x); } |
| |
| /// 5.2.1.23 Spherical Neumann functions. |
| template<typename _Tp> |
| inline typename __gnu_cxx::__promote<_Tp>::__type |
| sph_neumann(unsigned int __n, _Tp __x) |
| { |
| typedef typename __gnu_cxx::__promote<_Tp>::__type __type; |
| return __detail::__sph_neumann<__type>(__n, __x); |
| } |
| |
| /* @} */ // tr1_math_spec_func |
| } |
| } |
| |
| #endif // _GLIBCXX_TR1_CMATH |
