diff options
Diffstat (limited to 'gcc-4.4.3/libstdc++-v3/include/tr1/beta_function.tcc')
-rw-r--r-- | gcc-4.4.3/libstdc++-v3/include/tr1/beta_function.tcc | 197 |
1 files changed, 0 insertions, 197 deletions
diff --git a/gcc-4.4.3/libstdc++-v3/include/tr1/beta_function.tcc b/gcc-4.4.3/libstdc++-v3/include/tr1/beta_function.tcc deleted file mode 100644 index f9d18604d..000000000 --- a/gcc-4.4.3/libstdc++-v3/include/tr1/beta_function.tcc +++ /dev/null @@ -1,197 +0,0 @@ -// Special functions -*- 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/beta_function.tcc - * This is an internal header file, included by other library headers. - * You should not attempt to use it directly. - */ - -// -// ISO C++ 14882 TR1: 5.2 Special functions -// - -// Written by Edward Smith-Rowland based on: -// (1) Handbook of Mathematical Functions, -// ed. Milton Abramowitz and Irene A. Stegun, -// Dover Publications, -// Section 6, pp. 253-266 -// (2) The Gnu Scientific Library, http://www.gnu.org/software/gsl -// (3) Numerical Recipes in C, by W. H. Press, S. A. Teukolsky, -// W. T. Vetterling, B. P. Flannery, Cambridge University Press (1992), -// 2nd ed, pp. 213-216 -// (4) Gamma, Exploring Euler's Constant, Julian Havil, -// Princeton, 2003. - -#ifndef _GLIBCXX_TR1_BETA_FUNCTION_TCC -#define _GLIBCXX_TR1_BETA_FUNCTION_TCC 1 - -namespace std -{ -namespace tr1 -{ - - // [5.2] Special functions - - // Implementation-space details. - namespace __detail - { - - /** - * @brief Return the beta function: \f$B(x,y)\f$. - * - * The beta function is defined by - * @f[ - * B(x,y) = \frac{\Gamma(x)\Gamma(y)}{\Gamma(x+y)} - * @f] - * - * @param __x The first argument of the beta function. - * @param __y The second argument of the beta function. - * @return The beta function. - */ - template<typename _Tp> - _Tp - __beta_gamma(_Tp __x, _Tp __y) - { - - _Tp __bet; -#if _GLIBCXX_USE_C99_MATH_TR1 - if (__x > __y) - { - __bet = std::tr1::tgamma(__x) - / std::tr1::tgamma(__x + __y); - __bet *= std::tr1::tgamma(__y); - } - else - { - __bet = std::tr1::tgamma(__y) - / std::tr1::tgamma(__x + __y); - __bet *= std::tr1::tgamma(__x); - } -#else - if (__x > __y) - { - __bet = __gamma(__x) / __gamma(__x + __y); - __bet *= __gamma(__y); - } - else - { - __bet = __gamma(__y) / __gamma(__x + __y); - __bet *= __gamma(__x); - } -#endif - - return __bet; - } - - /** - * @brief Return the beta function \f$B(x,y)\f$ using - * the log gamma functions. - * - * The beta function is defined by - * @f[ - * B(x,y) = \frac{\Gamma(x)\Gamma(y)}{\Gamma(x+y)} - * @f] - * - * @param __x The first argument of the beta function. - * @param __y The second argument of the beta function. - * @return The beta function. - */ - template<typename _Tp> - _Tp - __beta_lgamma(_Tp __x, _Tp __y) - { -#if _GLIBCXX_USE_C99_MATH_TR1 - _Tp __bet = std::tr1::lgamma(__x) - + std::tr1::lgamma(__y) - - std::tr1::lgamma(__x + __y); -#else - _Tp __bet = __log_gamma(__x) - + __log_gamma(__y) - - __log_gamma(__x + __y); -#endif - __bet = std::exp(__bet); - return __bet; - } - - - /** - * @brief Return the beta function \f$B(x,y)\f$ using - * the product form. - * - * The beta function is defined by - * @f[ - * B(x,y) = \frac{\Gamma(x)\Gamma(y)}{\Gamma(x+y)} - * @f] - * - * @param __x The first argument of the beta function. - * @param __y The second argument of the beta function. - * @return The beta function. - */ - template<typename _Tp> - _Tp - __beta_product(_Tp __x, _Tp __y) - { - - _Tp __bet = (__x + __y) / (__x * __y); - - unsigned int __max_iter = 1000000; - for (unsigned int __k = 1; __k < __max_iter; ++__k) - { - _Tp __term = (_Tp(1) + (__x + __y) / __k) - / ((_Tp(1) + __x / __k) * (_Tp(1) + __y / __k)); - __bet *= __term; - } - - return __bet; - } - - - /** - * @brief Return the beta function \f$ B(x,y) \f$. - * - * The beta function is defined by - * @f[ - * B(x,y) = \frac{\Gamma(x)\Gamma(y)}{\Gamma(x+y)} - * @f] - * - * @param __x The first argument of the beta function. - * @param __y The second argument of the beta function. - * @return The beta function. - */ - template<typename _Tp> - inline _Tp - __beta(_Tp __x, _Tp __y) - { - if (__isnan(__x) || __isnan(__y)) - return std::numeric_limits<_Tp>::quiet_NaN(); - else - return __beta_lgamma(__x, __y); - } - - } // namespace std::tr1::__detail -} -} - -#endif // __GLIBCXX_TR1_BETA_FUNCTION_TCC |