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-// 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/poly_hermite.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 22 pp. 773-802
-
-#ifndef _GLIBCXX_TR1_POLY_HERMITE_TCC
-#define _GLIBCXX_TR1_POLY_HERMITE_TCC 1
-
-namespace std
-{
-namespace tr1
-{
-
- // [5.2] Special functions
-
- // Implementation-space details.
- namespace __detail
- {
-
- /**
- * @brief This routine returns the Hermite polynomial
- * of order n: \f$ H_n(x) \f$ by recursion on n.
- *
- * The Hermite polynomial is defined by:
- * @f[
- * H_n(x) = (-1)^n e^{x^2} \frac{d^n}{dx^n} e^{-x^2}
- * @f]
- *
- * @param __n The order of the Hermite polynomial.
- * @param __x The argument of the Hermite polynomial.
- * @return The value of the Hermite polynomial of order n
- * and argument x.
- */
- template<typename _Tp>
- _Tp
- __poly_hermite_recursion(const unsigned int __n, const _Tp __x)
- {
- // Compute H_0.
- _Tp __H_0 = 1;
- if (__n == 0)
- return __H_0;
-
- // Compute H_1.
- _Tp __H_1 = 2 * __x;
- if (__n == 1)
- return __H_1;
-
- // Compute H_n.
- _Tp __H_n, __H_nm1, __H_nm2;
- unsigned int __i;
- for (__H_nm2 = __H_0, __H_nm1 = __H_1, __i = 2; __i <= __n; ++__i)
- {
- __H_n = 2 * (__x * __H_nm1 + (__i - 1) * __H_nm2);
- __H_nm2 = __H_nm1;
- __H_nm1 = __H_n;
- }
-
- return __H_n;
- }
-
-
- /**
- * @brief This routine returns the Hermite polynomial
- * of order n: \f$ H_n(x) \f$.
- *
- * The Hermite polynomial is defined by:
- * @f[
- * H_n(x) = (-1)^n e^{x^2} \frac{d^n}{dx^n} e^{-x^2}
- * @f]
- *
- * @param __n The order of the Hermite polynomial.
- * @param __x The argument of the Hermite polynomial.
- * @return The value of the Hermite polynomial of order n
- * and argument x.
- */
- template<typename _Tp>
- inline _Tp
- __poly_hermite(const unsigned int __n, const _Tp __x)
- {
- if (__isnan(__x))
- return std::numeric_limits<_Tp>::quiet_NaN();
- else
- return __poly_hermite_recursion(__n, __x);
- }
-
- } // namespace std::tr1::__detail
-}
-}
-
-#endif // _GLIBCXX_TR1_POLY_HERMITE_TCC